* algebra/indexedp.spad.pamphlet (IndexedDirectProductObject)

[indexedDirectProductObject]: New. (IndexedDirectProductAbelianMonoid): Rework implementation. [construct]: Likewise.
author: dos-reis <gdr@axiomatics.org> 2010-06-29 21:31:12 +0000
committer: dos-reis <gdr@axiomatics.org> 2010-06-29 21:31:12 +0000
commit: 3f4d38826d28da40a6509a9afc37b8cbaebd080e (patch)
tree: 7cda4231bb62a4469d5fed7dd88c34f91a62ed09 /src/share/algebra
parent: 2394bfc186f7b57a7b8b737b4b17e1140d756416 (diff)
download: open-axiom-3f4d38826d28da40a6509a9afc37b8cbaebd080e.tar.gz
5 files changed, 19365 insertions, 19356 deletions
diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase
index 97047609..8e8a7036 100644
--- a/src/share/algebra/browse.daase
+++ b/src/share/algebra/browse.daase
@@ -1,12 +1,12 @@
 
-(2293757 . 3486820627)       
+(2294130 . 3486833881)       
 (-18 A S) 
 ((|constructor| (NIL "One-dimensional-array aggregates serves as models for one-dimensional arrays. Categorically,{} these aggregates are finite linear aggregates with the \\spadatt{shallowlyMutable} property,{} that is,{} any component of the array may be changed without affecting the identity of the overall array. Array data structures are typically represented by a fixed area in storage and therefore cannot efficiently grow or shrink on demand as can list structures (see however \\spadtype{FlexibleArray} for a data structure which is a cross between a list and an array). Iteration over,{} and access to,{} elements of arrays is extremely fast (and often can be optimized to open-code). Insertion and deletion however is generally slow since an entirely new data structure must be created for the result."))) 
 NIL 
 NIL 
 (-19 S) 
 ((|constructor| (NIL "One-dimensional-array aggregates serves as models for one-dimensional arrays. Categorically,{} these aggregates are finite linear aggregates with the \\spadatt{shallowlyMutable} property,{} that is,{} any component of the array may be changed without affecting the identity of the overall array. Array data structures are typically represented by a fixed area in storage and therefore cannot efficiently grow or shrink on demand as can list structures (see however \\spadtype{FlexibleArray} for a data structure which is a cross between a list and an array). Iteration over,{} and access to,{} elements of arrays is extremely fast (and often can be optimized to open-code). Insertion and deletion however is generally slow since an entirely new data structure must be created for the result."))) 
-((-4465 . T) (-4464 . T)) 
+((-4466 . T) (-4465 . T)) 
 NIL 
 (-20 S) 
 ((|constructor| (NIL "The class of abelian groups,{} \\spadignore{i.e.} additive monoids where each element has an additive inverse. \\blankline")) (- (($ $ $) "\\spad{x-y} is the difference of \\spad{x} and \\spad{y} \\spadignore{i.e.} \\spad{x + (-y)}.") (($ $) "\\spad{-x} is the additive inverse of \\spad{x}"))) 
@@ -38,7 +38,7 @@ NIL
 NIL 
 (-27) 
 ((|constructor| (NIL "Model for algebraically closed fields.")) (|zerosOf| (((|List| $) (|SparseUnivariatePolynomial| $) (|Symbol|)) "\\spad{zerosOf(p, y)} returns \\spad{[y1,...,yn]} such that \\spad{p(yi) = 0}. The \\spad{yi}\\spad{'s} are expressed in radicals if possible,{} and otherwise as implicit algebraic quantities which display as \\spad{'yi}. The returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values.") (((|List| $) (|SparseUnivariatePolynomial| $)) "\\spad{zerosOf(p)} returns \\spad{[y1,...,yn]} such that \\spad{p(yi) = 0}. The \\spad{yi}\\spad{'s} are expressed in radicals if possible,{} and otherwise as implicit algebraic quantities. The returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values.") (((|List| $) (|Polynomial| $)) "\\spad{zerosOf(p)} returns \\spad{[y1,...,yn]} such that \\spad{p(yi) = 0}. The \\spad{yi}\\spad{'s} are expressed in radicals if possible. Otherwise they are implicit algebraic quantities. The returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values. Error: if \\spad{p} has more than one variable \\spad{y}.")) (|zeroOf| (($ (|SparseUnivariatePolynomial| $) (|Symbol|)) "\\spad{zeroOf(p, y)} returns \\spad{y} such that \\spad{p(y) = 0}; if possible,{} \\spad{y} is expressed in terms of radicals. Otherwise it is an implicit algebraic quantity which displays as \\spad{'y}.") (($ (|SparseUnivariatePolynomial| $)) "\\spad{zeroOf(p)} returns \\spad{y} such that \\spad{p(y) = 0}; if possible,{} \\spad{y} is expressed in terms of radicals. Otherwise it is an implicit algebraic quantity.") (($ (|Polynomial| $)) "\\spad{zeroOf(p)} returns \\spad{y} such that \\spad{p(y) = 0}. If possible,{} \\spad{y} is expressed in terms of radicals. Otherwise it is an implicit algebraic quantity. Error: if \\spad{p} has more than one variable \\spad{y}.")) (|rootsOf| (((|List| $) (|SparseUnivariatePolynomial| $) (|Symbol|)) "\\spad{rootsOf(p, y)} returns \\spad{[y1,...,yn]} such that \\spad{p(yi) = 0}; The returned roots display as \\spad{'y1},{}...,{}\\spad{'yn}. Note: the returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values.") (((|List| $) (|SparseUnivariatePolynomial| $)) "\\spad{rootsOf(p)} returns \\spad{[y1,...,yn]} such that \\spad{p(yi) = 0}. Note: the returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values.") (((|List| $) (|Polynomial| $)) "\\spad{rootsOf(p)} returns \\spad{[y1,...,yn]} such that \\spad{p(yi) = 0}. Note: the returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values. Error: if \\spad{p} has more than one variable \\spad{y}.")) (|rootOf| (($ (|SparseUnivariatePolynomial| $) (|Symbol|)) "\\spad{rootOf(p, y)} returns \\spad{y} such that \\spad{p(y) = 0}. The object returned displays as \\spad{'y}.") (($ (|SparseUnivariatePolynomial| $)) "\\spad{rootOf(p)} returns \\spad{y} such that \\spad{p(y) = 0}.") (($ (|Polynomial| $)) "\\spad{rootOf(p)} returns \\spad{y} such that \\spad{p(y) = 0}. Error: if \\spad{p} has more than one variable \\spad{y}."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-28 S R) 
 ((|constructor| (NIL "Model for algebraically closed function spaces.")) (|zerosOf| (((|List| $) $ (|Symbol|)) "\\spad{zerosOf(p, y)} returns \\spad{[y1,...,yn]} such that \\spad{p(yi) = 0}. The \\spad{yi}\\spad{'s} are expressed in radicals if possible,{} and otherwise as implicit algebraic quantities which display as \\spad{'yi}. The returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values.") (((|List| $) $) "\\spad{zerosOf(p)} returns \\spad{[y1,...,yn]} such that \\spad{p(yi) = 0}. The \\spad{yi}\\spad{'s} are expressed in radicals if possible. The returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values. Error: if \\spad{p} has more than one variable.")) (|zeroOf| (($ $ (|Symbol|)) "\\spad{zeroOf(p, y)} returns \\spad{y} such that \\spad{p(y) = 0}. The value \\spad{y} is expressed in terms of radicals if possible,{}and otherwise as an implicit algebraic quantity which displays as \\spad{'y}.") (($ $) "\\spad{zeroOf(p)} returns \\spad{y} such that \\spad{p(y) = 0}. The value \\spad{y} is expressed in terms of radicals if possible,{}and otherwise as an implicit algebraic quantity. Error: if \\spad{p} has more than one variable.")) (|rootsOf| (((|List| $) $ (|Symbol|)) "\\spad{rootsOf(p, y)} returns \\spad{[y1,...,yn]} such that \\spad{p(yi) = 0}; The returned roots display as \\spad{'y1},{}...,{}\\spad{'yn}. Note: the returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values.") (((|List| $) $) "\\spad{rootsOf(p, y)} returns \\spad{[y1,...,yn]} such that \\spad{p(yi) = 0}; Note: the returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values. Error: if \\spad{p} has more than one variable \\spad{y}.")) (|rootOf| (($ $ (|Symbol|)) "\\spad{rootOf(p,y)} returns \\spad{y} such that \\spad{p(y) = 0}. The object returned displays as \\spad{'y}.") (($ $) "\\spad{rootOf(p)} returns \\spad{y} such that \\spad{p(y) = 0}. Error: if \\spad{p} has more than one variable \\spad{y}."))) 
@@ -46,7 +46,7 @@ NIL
 NIL 
 (-29 R) 
 ((|constructor| (NIL "Model for algebraically closed function spaces.")) (|zerosOf| (((|List| $) $ (|Symbol|)) "\\spad{zerosOf(p, y)} returns \\spad{[y1,...,yn]} such that \\spad{p(yi) = 0}. The \\spad{yi}\\spad{'s} are expressed in radicals if possible,{} and otherwise as implicit algebraic quantities which display as \\spad{'yi}. The returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values.") (((|List| $) $) "\\spad{zerosOf(p)} returns \\spad{[y1,...,yn]} such that \\spad{p(yi) = 0}. The \\spad{yi}\\spad{'s} are expressed in radicals if possible. The returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values. Error: if \\spad{p} has more than one variable.")) (|zeroOf| (($ $ (|Symbol|)) "\\spad{zeroOf(p, y)} returns \\spad{y} such that \\spad{p(y) = 0}. The value \\spad{y} is expressed in terms of radicals if possible,{}and otherwise as an implicit algebraic quantity which displays as \\spad{'y}.") (($ $) "\\spad{zeroOf(p)} returns \\spad{y} such that \\spad{p(y) = 0}. The value \\spad{y} is expressed in terms of radicals if possible,{}and otherwise as an implicit algebraic quantity. Error: if \\spad{p} has more than one variable.")) (|rootsOf| (((|List| $) $ (|Symbol|)) "\\spad{rootsOf(p, y)} returns \\spad{[y1,...,yn]} such that \\spad{p(yi) = 0}; The returned roots display as \\spad{'y1},{}...,{}\\spad{'yn}. Note: the returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values.") (((|List| $) $) "\\spad{rootsOf(p, y)} returns \\spad{[y1,...,yn]} such that \\spad{p(yi) = 0}; Note: the returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values. Error: if \\spad{p} has more than one variable \\spad{y}.")) (|rootOf| (($ $ (|Symbol|)) "\\spad{rootOf(p,y)} returns \\spad{y} such that \\spad{p(y) = 0}. The object returned displays as \\spad{'y}.") (($ $) "\\spad{rootOf(p)} returns \\spad{y} such that \\spad{p(y) = 0}. Error: if \\spad{p} has more than one variable \\spad{y}."))) 
-((-4461 . T) (-4459 . T) (-4458 . T) ((-4466 "*") . T) (-4457 . T) (-4462 . T) (-4456 . T)) 
+((-4462 . T) (-4460 . T) (-4459 . T) ((-4467 "*") . T) (-4458 . T) (-4463 . T) (-4457 . T)) 
 NIL 
 (-30) 
 ((|constructor| (NIL "\\indented{1}{Plot a NON-SINGULAR plane algebraic curve \\spad{p}(\\spad{x},{}\\spad{y}) = 0.} Author: Clifton \\spad{J}. Williamson Date Created: Fall 1988 Date Last Updated: 27 April 1990 Keywords: algebraic curve,{} non-singular,{} plot Examples: References:")) (|refine| (($ $ (|DoubleFloat|)) "\\spad{refine(p,x)} \\undocumented{}")) (|makeSketch| (($ (|Polynomial| (|Integer|)) (|Symbol|) (|Symbol|) (|Segment| (|Fraction| (|Integer|))) (|Segment| (|Fraction| (|Integer|)))) "\\spad{makeSketch(p,x,y,a..b,c..d)} creates an ACPLOT of the curve \\spad{p = 0} in the region {\\em a <= x <= b, c <= y <= d}. More specifically,{} 'makeSketch' plots a non-singular algebraic curve \\spad{p = 0} in an rectangular region {\\em xMin <= x <= xMax},{} {\\em yMin <= y <= yMax}. The user inputs \\spad{makeSketch(p,x,y,xMin..xMax,yMin..yMax)}. Here \\spad{p} is a polynomial in the variables \\spad{x} and \\spad{y} with integer coefficients (\\spad{p} belongs to the domain \\spad{Polynomial Integer}). The case where \\spad{p} is a polynomial in only one of the variables is allowed. The variables \\spad{x} and \\spad{y} are input to specify the the coordinate axes. The horizontal axis is the \\spad{x}-axis and the vertical axis is the \\spad{y}-axis. The rational numbers xMin,{}...,{}yMax specify the boundaries of the region in which the curve is to be plotted."))) 
@@ -56,14 +56,14 @@ NIL
 ((|constructor| (NIL "This domain represents the syntax for an add-expression.")) (|body| (((|SpadAst|) $) "base(\\spad{d}) returns the actual body of the add-domain expression \\spad{`d'}.")) (|base| (((|SpadAst|) $) "\\spad{base(d)} returns the base domain(\\spad{s}) of the add-domain expression."))) 
 NIL 
 NIL 
-(-32 R -1959) 
+(-32 R -1962) 
 ((|constructor| (NIL "This package provides algebraic functions over an integral domain.")) (|iroot| ((|#2| |#1| (|Integer|)) "\\spad{iroot(p, n)} should be a non-exported function.")) (|definingPolynomial| ((|#2| |#2|) "\\spad{definingPolynomial(f)} returns the defining polynomial of \\spad{f} as an element of \\spad{F}. Error: if \\spad{f} is not a kernel.")) (|minPoly| (((|SparseUnivariatePolynomial| |#2|) (|Kernel| |#2|)) "\\spad{minPoly(k)} returns the defining polynomial of \\spad{k}.")) (** ((|#2| |#2| (|Fraction| (|Integer|))) "\\spad{x ** q} is \\spad{x} raised to the rational power \\spad{q}.")) (|droot| (((|OutputForm|) (|List| |#2|)) "\\spad{droot(l)} should be a non-exported function.")) (|inrootof| ((|#2| (|SparseUnivariatePolynomial| |#2|) |#2|) "\\spad{inrootof(p, x)} should be a non-exported function.")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} is \\spad{true} if \\spad{op} is an algebraic operator,{} that is,{} an \\spad{n}th root or implicit algebraic operator.")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\spad{F}. Error: if \\spad{op} is not an algebraic operator,{} that is,{} an \\spad{n}th root or implicit algebraic operator.")) (|rootOf| ((|#2| (|SparseUnivariatePolynomial| |#2|) (|Symbol|)) "\\spad{rootOf(p, y)} returns \\spad{y} such that \\spad{p(y) = 0}. The object returned displays as \\spad{'y}."))) 
 NIL 
 ((|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) 
 (-33 S) 
 ((|constructor| (NIL "The notion of aggregate serves to model any data structure aggregate,{} designating any collection of objects,{} with heterogenous or homogeneous members,{} with a finite or infinite number of members,{} explicitly or implicitly represented. An aggregate can in principle represent everything from a string of characters to abstract sets such as \"the set of \\spad{x} satisfying relation {\\em r(x)}\" An attribute \\spadatt{finiteAggregate} is used to assert that a domain has a finite number of elements.")) (|#| (((|NonNegativeInteger|) $) "\\spad{\\# u} returns the number of items in \\spad{u}.")) (|sample| (($) "\\spad{sample yields} a value of type \\%")) (|size?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\spad{size?(u,n)} tests if \\spad{u} has exactly \\spad{n} elements.")) (|more?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\spad{more?(u,n)} tests if \\spad{u} has greater than \\spad{n} elements.")) (|less?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\spad{less?(u,n)} tests if \\spad{u} has less than \\spad{n} elements.")) (|empty?| (((|Boolean|) $) "\\spad{empty?(u)} tests if \\spad{u} has 0 elements.")) (|empty| (($) "\\spad{empty()}\\$\\spad{D} creates an aggregate of type \\spad{D} with 0 elements. Note: The {\\em \\$D} can be dropped if understood by context,{} \\spadignore{e.g.} \\axiom{u: \\spad{D} \\spad{:=} empty()}.")) (|copy| (($ $) "\\spad{copy(u)} returns a top-level (non-recursive) copy of \\spad{u}. Note: for collections,{} \\axiom{copy(\\spad{u}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{u}]}.")) (|eq?| (((|Boolean|) $ $) "\\spad{eq?(u,v)} tests if \\spad{u} and \\spad{v} are same objects."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4464))) 
+((|HasAttribute| |#1| (QUOTE -4465))) 
 (-34) 
 ((|constructor| (NIL "The notion of aggregate serves to model any data structure aggregate,{} designating any collection of objects,{} with heterogenous or homogeneous members,{} with a finite or infinite number of members,{} explicitly or implicitly represented. An aggregate can in principle represent everything from a string of characters to abstract sets such as \"the set of \\spad{x} satisfying relation {\\em r(x)}\" An attribute \\spadatt{finiteAggregate} is used to assert that a domain has a finite number of elements.")) (|#| (((|NonNegativeInteger|) $) "\\spad{\\# u} returns the number of items in \\spad{u}.")) (|sample| (($) "\\spad{sample yields} a value of type \\%")) (|size?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\spad{size?(u,n)} tests if \\spad{u} has exactly \\spad{n} elements.")) (|more?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\spad{more?(u,n)} tests if \\spad{u} has greater than \\spad{n} elements.")) (|less?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\spad{less?(u,n)} tests if \\spad{u} has less than \\spad{n} elements.")) (|empty?| (((|Boolean|) $) "\\spad{empty?(u)} tests if \\spad{u} has 0 elements.")) (|empty| (($) "\\spad{empty()}\\$\\spad{D} creates an aggregate of type \\spad{D} with 0 elements. Note: The {\\em \\$D} can be dropped if understood by context,{} \\spadignore{e.g.} \\axiom{u: \\spad{D} \\spad{:=} empty()}.")) (|copy| (($ $) "\\spad{copy(u)} returns a top-level (non-recursive) copy of \\spad{u}. Note: for collections,{} \\axiom{copy(\\spad{u}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{u}]}.")) (|eq?| (((|Boolean|) $ $) "\\spad{eq?(u,v)} tests if \\spad{u} and \\spad{v} are same objects."))) 
 NIL 
@@ -74,7 +74,7 @@ NIL
 NIL 
 (-36 |Key| |Entry|) 
 ((|constructor| (NIL "An association list is a list of key entry pairs which may be viewed as a table. It is a poor mans version of a table: searching for a key is a linear operation.")) (|assoc| (((|Union| (|Record| (|:| |key| |#1|) (|:| |entry| |#2|)) "failed") |#1| $) "\\spad{assoc(k,u)} returns the element \\spad{x} in association list \\spad{u} stored with key \\spad{k},{} or \"failed\" if \\spad{u} has no key \\spad{k}."))) 
-((-4464 . T) (-4465 . T)) 
+((-4465 . T) (-4466 . T)) 
 NIL 
 (-37 S R) 
 ((|constructor| (NIL "The category of associative algebras (modules which are themselves rings). \\blankline"))) 
@@ -82,17 +82,17 @@ NIL
 NIL 
 (-38 R) 
 ((|constructor| (NIL "The category of associative algebras (modules which are themselves rings). \\blankline"))) 
-((-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-39 UP) 
 ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in \\spadtype{AlgebraicNumber}.")) (|doublyTransitive?| (((|Boolean|) |#1|) "\\spad{doublyTransitive?(p)} is \\spad{true} if \\spad{p} is irreducible over over the field \\spad{K} generated by its coefficients,{} and if \\spad{p(X) / (X - a)} is irreducible over \\spad{K(a)} where \\spad{p(a) = 0}.")) (|split| (((|Factored| |#1|) |#1|) "\\spad{split(p)} returns a prime factorisation of \\spad{p} over its splitting field.")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p} over the field generated by its coefficients.") (((|Factored| |#1|) |#1| (|List| (|AlgebraicNumber|))) "\\spad{factor(p, [a1,...,an])} returns a prime factorisation of \\spad{p} over the field generated by its coefficients and a1,{}...,{}an."))) 
 NIL 
 NIL 
-(-40 -1959 UP UPUP -3459) 
+(-40 -1962 UP UPUP -1633) 
 ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}"))) 
-((-4457 |has| (-419 |#2|) (-374)) (-4462 |has| (-419 |#2|) (-374)) (-4456 |has| (-419 |#2|) (-374)) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| (-419 |#2|) (QUOTE (-146))) (|HasCategory| (-419 |#2|) (QUOTE (-148))) (|HasCategory| (-419 |#2|) (QUOTE (-360))) (-2758 (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-379))) (-2758 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2758 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2758 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-360))))) (-2758 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -651) (QUOTE (-576)))) (-2758 (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) 
-(-41 R -1959) 
+((-4458 |has| (-419 |#2|) (-374)) (-4463 |has| (-419 |#2|) (-374)) (-4457 |has| (-419 |#2|) (-374)) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| (-419 |#2|) (QUOTE (-146))) (|HasCategory| (-419 |#2|) (QUOTE (-148))) (|HasCategory| (-419 |#2|) (QUOTE (-360))) (-2760 (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-379))) (-2760 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2760 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2760 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-360))))) (-2760 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -651) (QUOTE (-576)))) (-2760 (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) 
+(-41 R -1962) 
 ((|constructor| (NIL "AlgebraicManipulations provides functions to simplify and expand expressions involving algebraic operators.")) (|rootKerSimp| ((|#2| (|BasicOperator|) |#2| (|NonNegativeInteger|)) "\\spad{rootKerSimp(op,f,n)} should be local but conditional.")) (|rootSimp| ((|#2| |#2|) "\\spad{rootSimp(f)} transforms every radical of the form \\spad{(a * b**(q*n+r))**(1/n)} appearing in \\spad{f} into \\spad{b**q * (a * b**r)**(1/n)}. This transformation is not in general valid for all complex numbers \\spad{b}.")) (|rootProduct| ((|#2| |#2|) "\\spad{rootProduct(f)} combines every product of the form \\spad{(a**(1/n))**m * (a**(1/s))**t} into a single power of a root of \\spad{a},{} and transforms every radical power of the form \\spad{(a**(1/n))**m} into a simpler form.")) (|rootPower| ((|#2| |#2|) "\\spad{rootPower(f)} transforms every radical power of the form \\spad{(a**(1/n))**m} into a simpler form if \\spad{m} and \\spad{n} have a common factor.")) (|ratPoly| (((|SparseUnivariatePolynomial| |#2|) |#2|) "\\spad{ratPoly(f)} returns a polynomial \\spad{p} such that \\spad{p} has no algebraic coefficients,{} and \\spad{p(f) = 0}.")) (|ratDenom| ((|#2| |#2| (|List| (|Kernel| |#2|))) "\\spad{ratDenom(f, [a1,...,an])} removes the \\spad{ai}\\spad{'s} which are algebraic from the denominators in \\spad{f}.") ((|#2| |#2| (|List| |#2|)) "\\spad{ratDenom(f, [a1,...,an])} removes the \\spad{ai}\\spad{'s} which are algebraic kernels from the denominators in \\spad{f}.") ((|#2| |#2| |#2|) "\\spad{ratDenom(f, a)} removes \\spad{a} from the denominators in \\spad{f} if \\spad{a} is an algebraic kernel.") ((|#2| |#2|) "\\spad{ratDenom(f)} rationalizes the denominators appearing in \\spad{f} by moving all the algebraic quantities into the numerators.")) (|rootSplit| ((|#2| |#2|) "\\spad{rootSplit(f)} transforms every radical of the form \\spad{(a/b)**(1/n)} appearing in \\spad{f} into \\spad{a**(1/n) / b**(1/n)}. This transformation is not in general valid for all complex numbers \\spad{a} and \\spad{b}.")) (|coerce| (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{coerce(x)} \\undocumented")) (|denom| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{denom(x)} \\undocumented")) (|numer| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{numer(x)} \\undocumented"))) 
 NIL 
 ((-12 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -442) (|devaluate| |#1|))))) 
@@ -106,23 +106,23 @@ NIL
 ((|HasCategory| |#1| (QUOTE (-317)))) 
 (-44 R |n| |ls| |gamma|) 
 ((|constructor| (NIL "AlgebraGivenByStructuralConstants implements finite rank algebras over a commutative ring,{} given by the structural constants \\spad{gamma} with respect to a fixed basis \\spad{[a1,..,an]},{} where \\spad{gamma} is an \\spad{n}-vector of \\spad{n} by \\spad{n} matrices \\spad{[(gammaijk) for k in 1..rank()]} defined by \\spad{ai * aj = gammaij1 * a1 + ... + gammaijn * an}. The symbols for the fixed basis have to be given as a list of symbols.")) (|coerce| (($ (|Vector| |#1|)) "\\spad{coerce(v)} converts a vector to a member of the algebra by forming a linear combination with the basis element. Note: the vector is assumed to have length equal to the dimension of the algebra."))) 
-((-4461 |has| |#1| (-568)) (-4459 . T) (-4458 . T)) 
+((-4462 |has| |#1| (-568)) (-4460 . T) (-4459 . T)) 
 ((|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) 
 (-45 |Key| |Entry|) 
 ((|constructor| (NIL "\\spadtype{AssociationList} implements association lists. These may be viewed as lists of pairs where the first part is a key and the second is the stored value. For example,{} the key might be a string with a persons employee identification number and the value might be a record with personnel data."))) 
-((-4464 . T) (-4465 . T)) 
-((-2758 (-12 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-861))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4300) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4438) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4300) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4438) (|devaluate| |#2|))))))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-861))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-861))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-861))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-861))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-102))) (-12 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4300) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4438) (|devaluate| |#2|))))))) 
+((-4465 . T) (-4466 . T)) 
+((-2760 (-12 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-861))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4301) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4440) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4301) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4440) (|devaluate| |#2|))))))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-861))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-861))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-861))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-861))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102))) (-12 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4301) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4440) (|devaluate| |#2|))))))) 
 (-46 S R E) 
 ((|constructor| (NIL "Abelian monoid ring elements (not necessarily of finite support) of this ring are of the form formal SUM (r_i * e_i) where the r_i are coefficents and the e_i,{} elements of the ordered abelian monoid,{} are thought of as exponents or monomials. The monomials commute with each other,{} and with the coefficients (which themselves may or may not be commutative). See \\spadtype{FiniteAbelianMonoidRing} for the case of finite support a useful common model for polynomials and power series. Conceptually at least,{} only the non-zero terms are ever operated on.")) (/ (($ $ |#2|) "\\spad{p/c} divides \\spad{p} by the coefficient \\spad{c}.")) (|coefficient| ((|#2| $ |#3|) "\\spad{coefficient(p,e)} extracts the coefficient of the monomial with exponent \\spad{e} from polynomial \\spad{p},{} or returns zero if exponent is not present.")) (|reductum| (($ $) "\\spad{reductum(u)} returns \\spad{u} minus its leading monomial returns zero if handed the zero element.")) (|monomial| (($ |#2| |#3|) "\\spad{monomial(r,e)} makes a term from a coefficient \\spad{r} and an exponent \\spad{e}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(p)} tests if \\spad{p} is a single monomial.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(fn,u)} maps function \\spad{fn} onto the coefficients of the non-zero monomials of \\spad{u}.")) (|degree| ((|#3| $) "\\spad{degree(p)} returns the maximum of the exponents of the terms of \\spad{p}.")) (|leadingMonomial| (($ $) "\\spad{leadingMonomial(p)} returns the monomial of \\spad{p} with the highest degree.")) (|leadingCoefficient| ((|#2| $) "\\spad{leadingCoefficient(p)} returns the coefficient highest degree term of \\spad{p}."))) 
 NIL 
 ((|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-374)))) 
 (-47 R E) 
 ((|constructor| (NIL "Abelian monoid ring elements (not necessarily of finite support) of this ring are of the form formal SUM (r_i * e_i) where the r_i are coefficents and the e_i,{} elements of the ordered abelian monoid,{} are thought of as exponents or monomials. The monomials commute with each other,{} and with the coefficients (which themselves may or may not be commutative). See \\spadtype{FiniteAbelianMonoidRing} for the case of finite support a useful common model for polynomials and power series. Conceptually at least,{} only the non-zero terms are ever operated on.")) (/ (($ $ |#1|) "\\spad{p/c} divides \\spad{p} by the coefficient \\spad{c}.")) (|coefficient| ((|#1| $ |#2|) "\\spad{coefficient(p,e)} extracts the coefficient of the monomial with exponent \\spad{e} from polynomial \\spad{p},{} or returns zero if exponent is not present.")) (|reductum| (($ $) "\\spad{reductum(u)} returns \\spad{u} minus its leading monomial returns zero if handed the zero element.")) (|monomial| (($ |#1| |#2|) "\\spad{monomial(r,e)} makes a term from a coefficient \\spad{r} and an exponent \\spad{e}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(p)} tests if \\spad{p} is a single monomial.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(fn,u)} maps function \\spad{fn} onto the coefficients of the non-zero monomials of \\spad{u}.")) (|degree| ((|#2| $) "\\spad{degree(p)} returns the maximum of the exponents of the terms of \\spad{p}.")) (|leadingMonomial| (($ $) "\\spad{leadingMonomial(p)} returns the monomial of \\spad{p} with the highest degree.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(p)} returns the coefficient highest degree term of \\spad{p}."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4458 . T) (-4459 . T) (-4461 . T)) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-48) 
 ((|constructor| (NIL "Algebraic closure of the rational numbers,{} with mathematical =")) (|norm| (($ $ (|List| (|Kernel| $))) "\\spad{norm(f,l)} computes the norm of the algebraic number \\spad{f} with respect to the extension generated by kernels \\spad{l}") (($ $ (|Kernel| $)) "\\spad{norm(f,k)} computes the norm of the algebraic number \\spad{f} with respect to the extension generated by kernel \\spad{k}") (((|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $) (|List| (|Kernel| $))) "\\spad{norm(p,l)} computes the norm of the polynomial \\spad{p} with respect to the extension generated by kernels \\spad{l}") (((|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $) (|Kernel| $)) "\\spad{norm(p,k)} computes the norm of the polynomial \\spad{p} with respect to the extension generated by kernel \\spad{k}")) (|reduce| (($ $) "\\spad{reduce(f)} simplifies all the unreduced algebraic numbers present in \\spad{f} by applying their defining relations.")) (|denom| (((|SparseMultivariatePolynomial| (|Integer|) (|Kernel| $)) $) "\\spad{denom(f)} returns the denominator of \\spad{f} viewed as a polynomial in the kernels over \\spad{Z}.")) (|numer| (((|SparseMultivariatePolynomial| (|Integer|) (|Kernel| $)) $) "\\spad{numer(f)} returns the numerator of \\spad{f} viewed as a polynomial in the kernels over \\spad{Z}.")) (|coerce| (($ (|SparseMultivariatePolynomial| (|Integer|) (|Kernel| $))) "\\spad{coerce(p)} returns \\spad{p} viewed as an algebraic number."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 ((|HasCategory| $ (QUOTE (-1070))) (|HasCategory| $ (LIST (QUOTE -1059) (QUOTE (-576))))) 
 (-49) 
 ((|constructor| (NIL "This domain implements anonymous functions")) (|body| (((|Syntax|) $) "\\spad{body(f)} returns the body of the unnamed function \\spad{`f'}.")) (|parameters| (((|List| (|Identifier|)) $) "\\spad{parameters(f)} returns the list of parameters bound by \\spad{`f'}."))) 
@@ -130,7 +130,7 @@ NIL
 NIL 
 (-50 R |lVar|) 
 ((|constructor| (NIL "The domain of antisymmetric polynomials.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,p)} changes each coefficient of \\spad{p} by the application of \\spad{f}.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(p)} returns the homogeneous degree of \\spad{p}.")) (|retractable?| (((|Boolean|) $) "\\spad{retractable?(p)} tests if \\spad{p} is a 0-form,{} \\spadignore{i.e.} if degree(\\spad{p}) = 0.")) (|homogeneous?| (((|Boolean|) $) "\\spad{homogeneous?(p)} tests if all of the terms of \\spad{p} have the same degree.")) (|exp| (($ (|List| (|Integer|))) "\\spad{exp([i1,...in])} returns \\spad{u_1\\^{i_1} ... u_n\\^{i_n}}")) (|generator| (($ (|NonNegativeInteger|)) "\\spad{generator(n)} returns the \\spad{n}th multiplicative generator,{} a basis term.")) (|coefficient| ((|#1| $ $) "\\spad{coefficient(p,u)} returns the coefficient of the term in \\spad{p} containing the basis term \\spad{u} if such a term exists,{} and 0 otherwise. Error: if the second argument \\spad{u} is not a basis element.")) (|reductum| (($ $) "\\spad{reductum(p)},{} where \\spad{p} is an antisymmetric polynomial,{} returns \\spad{p} minus the leading term of \\spad{p} if \\spad{p} has at least two terms,{} and 0 otherwise.")) (|leadingBasisTerm| (($ $) "\\spad{leadingBasisTerm(p)} returns the leading basis term of antisymmetric polynomial \\spad{p}.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(p)} returns the leading coefficient of antisymmetric polynomial \\spad{p}."))) 
-((-4461 . T)) 
+((-4462 . T)) 
 NIL 
 (-51 S) 
 ((|constructor| (NIL "\\spadtype{AnyFunctions1} implements several utility functions for working with \\spadtype{Any}. These functions are used to go back and forth between objects of \\spadtype{Any} and objects of other types.")) (|retract| ((|#1| (|Any|)) "\\spad{retract(a)} tries to convert \\spad{a} into an object of type \\spad{S}. If possible,{} it returns the object. Error: if no such retraction is possible.")) (|retractable?| (((|Boolean|) (|Any|)) "\\spad{retractable?(a)} tests if \\spad{a} can be converted into an object of type \\spad{S}.")) (|retractIfCan| (((|Union| |#1| "failed") (|Any|)) "\\spad{retractIfCan(a)} tries change \\spad{a} into an object of type \\spad{S}. If it can,{} then such an object is returned. Otherwise,{} \"failed\" is returned.")) (|coerce| (((|Any|) |#1|) "\\spad{coerce(s)} creates an object of \\spadtype{Any} from the object \\spad{s} of type \\spad{S}."))) 
@@ -144,7 +144,7 @@ NIL
 ((|constructor| (NIL "\\spad{ApplyUnivariateSkewPolynomial} (internal) allows univariate skew polynomials to be applied to appropriate modules.")) (|apply| ((|#2| |#3| (|Mapping| |#2| |#2|) |#2|) "\\spad{apply(p, f, m)} returns \\spad{p(m)} where the action is given by \\spad{x m = f(m)}. \\spad{f} must be an \\spad{R}-pseudo linear map on \\spad{M}."))) 
 NIL 
 NIL 
-(-54 |Base| R -1959) 
+(-54 |Base| R -1962) 
 ((|constructor| (NIL "This package apply rewrite rules to expressions,{} calling the pattern matcher.")) (|localUnquote| ((|#3| |#3| (|List| (|Symbol|))) "\\spad{localUnquote(f,ls)} is a local function.")) (|applyRules| ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3| (|PositiveInteger|)) "\\spad{applyRules([r1,...,rn], expr, n)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} a most \\spad{n} times.") ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3|) "\\spad{applyRules([r1,...,rn], expr)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} an unlimited number of times,{} \\spadignore{i.e.} until none of \\spad{r1},{}...,{}\\spad{rn} is applicable to the expression."))) 
 NIL 
 NIL 
@@ -158,7 +158,7 @@ NIL
 NIL 
 (-57 R |Row| |Col|) 
 ((|constructor| (NIL "\\indented{1}{TwoDimensionalArrayCategory is a general array category which} allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and columns returned as objects of type Col. The index of the 'first' row may be obtained by calling the function 'minRowIndex'. The index of the 'first' column may be obtained by calling the function 'minColIndex'. The index of the first element of a 'Row' is the same as the index of the first column in an array and vice versa.")) (|map!| (($ (|Mapping| |#1| |#1|) $) "\\spad{map!(f,a)} assign \\spad{a(i,j)} to \\spad{f(a(i,j))} for all \\spad{i, j}")) (|map| (($ (|Mapping| |#1| |#1| |#1|) $ $ |#1|) "\\spad{map(f,a,b,r)} returns \\spad{c},{} where \\spad{c(i,j) = f(a(i,j),b(i,j))} when both \\spad{a(i,j)} and \\spad{b(i,j)} exist; else \\spad{c(i,j) = f(r, b(i,j))} when \\spad{a(i,j)} does not exist; else \\spad{c(i,j) = f(a(i,j),r)} when \\spad{b(i,j)} does not exist; otherwise \\spad{c(i,j) = f(r,r)}.") (($ (|Mapping| |#1| |#1| |#1|) $ $) "\\spad{map(f,a,b)} returns \\spad{c},{} where \\spad{c(i,j) = f(a(i,j),b(i,j))} for all \\spad{i, j}") (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,a)} returns \\spad{b},{} where \\spad{b(i,j) = f(a(i,j))} for all \\spad{i, j}")) (|setColumn!| (($ $ (|Integer|) |#3|) "\\spad{setColumn!(m,j,v)} sets to \\spad{j}th column of \\spad{m} to \\spad{v}")) (|setRow!| (($ $ (|Integer|) |#2|) "\\spad{setRow!(m,i,v)} sets to \\spad{i}th row of \\spad{m} to \\spad{v}")) (|qsetelt!| ((|#1| $ (|Integer|) (|Integer|) |#1|) "\\spad{qsetelt!(m,i,j,r)} sets the element in the \\spad{i}th row and \\spad{j}th column of \\spad{m} to \\spad{r} NO error check to determine if indices are in proper ranges")) (|setelt| ((|#1| $ (|Integer|) (|Integer|) |#1|) "\\spad{setelt(m,i,j,r)} sets the element in the \\spad{i}th row and \\spad{j}th column of \\spad{m} to \\spad{r} error check to determine if indices are in proper ranges")) (|parts| (((|List| |#1|) $) "\\spad{parts(m)} returns a list of the elements of \\spad{m} in row major order")) (|column| ((|#3| $ (|Integer|)) "\\spad{column(m,j)} returns the \\spad{j}th column of \\spad{m} error check to determine if index is in proper ranges")) (|row| ((|#2| $ (|Integer|)) "\\spad{row(m,i)} returns the \\spad{i}th row of \\spad{m} error check to determine if index is in proper ranges")) (|qelt| ((|#1| $ (|Integer|) (|Integer|)) "\\spad{qelt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the array \\spad{m} NO error check to determine if indices are in proper ranges")) (|elt| ((|#1| $ (|Integer|) (|Integer|) |#1|) "\\spad{elt(m,i,j,r)} returns the element in the \\spad{i}th row and \\spad{j}th column of the array \\spad{m},{} if \\spad{m} has an \\spad{i}th row and a \\spad{j}th column,{} and returns \\spad{r} otherwise") ((|#1| $ (|Integer|) (|Integer|)) "\\spad{elt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the array \\spad{m} error check to determine if indices are in proper ranges")) (|ncols| (((|NonNegativeInteger|) $) "\\spad{ncols(m)} returns the number of columns in the array \\spad{m}")) (|nrows| (((|NonNegativeInteger|) $) "\\spad{nrows(m)} returns the number of rows in the array \\spad{m}")) (|maxColIndex| (((|Integer|) $) "\\spad{maxColIndex(m)} returns the index of the 'last' column of the array \\spad{m}")) (|minColIndex| (((|Integer|) $) "\\spad{minColIndex(m)} returns the index of the 'first' column of the array \\spad{m}")) (|maxRowIndex| (((|Integer|) $) "\\spad{maxRowIndex(m)} returns the index of the 'last' row of the array \\spad{m}")) (|minRowIndex| (((|Integer|) $) "\\spad{minRowIndex(m)} returns the index of the 'first' row of the array \\spad{m}")) (|fill!| (($ $ |#1|) "\\spad{fill!(m,r)} fills \\spad{m} with \\spad{r}\\spad{'s}")) (|new| (($ (|NonNegativeInteger|) (|NonNegativeInteger|) |#1|) "\\spad{new(m,n,r)} is an \\spad{m}-by-\\spad{n} array all of whose entries are \\spad{r}")) (|finiteAggregate| ((|attribute|) "two-dimensional arrays are finite")) (|shallowlyMutable| ((|attribute|) "one may destructively alter arrays"))) 
-((-4464 . T) (-4465 . T)) 
+((-4465 . T) (-4466 . T)) 
 NIL 
 (-58 A B) 
 ((|constructor| (NIL "\\indented{1}{This package provides tools for operating on one-dimensional arrays} with unary and binary functions involving different underlying types")) (|map| (((|OneDimensionalArray| |#2|) (|Mapping| |#2| |#1|) (|OneDimensionalArray| |#1|)) "\\spad{map(f,a)} applies function \\spad{f} to each member of one-dimensional array \\spad{a} resulting in a new one-dimensional array over a possibly different underlying domain.")) (|reduce| ((|#2| (|Mapping| |#2| |#1| |#2|) (|OneDimensionalArray| |#1|) |#2|) "\\spad{reduce(f,a,r)} applies function \\spad{f} to each successive element of the one-dimensional array \\spad{a} and an accumulant initialized to \\spad{r}. For example,{} \\spad{reduce(_+\\$Integer,[1,2,3],0)} does \\spad{3+(2+(1+0))}. Note: third argument \\spad{r} may be regarded as the identity element for the function \\spad{f}.")) (|scan| (((|OneDimensionalArray| |#2|) (|Mapping| |#2| |#1| |#2|) (|OneDimensionalArray| |#1|) |#2|) "\\spad{scan(f,a,r)} successively applies \\spad{reduce(f,x,r)} to more and more leading sub-arrays \\spad{x} of one-dimensional array \\spad{a}. More precisely,{} if \\spad{a} is \\spad{[a1,a2,...]},{} then \\spad{scan(f,a,r)} returns \\spad{[reduce(f,[a1],r),reduce(f,[a1,a2],r),...]}."))) 
@@ -166,65 +166,65 @@ NIL
 NIL 
 (-59 S) 
 ((|constructor| (NIL "This is the domain of 1-based one dimensional arrays")) (|oneDimensionalArray| (($ (|NonNegativeInteger|) |#1|) "\\spad{oneDimensionalArray(n,s)} creates an array from \\spad{n} copies of element \\spad{s}") (($ (|List| |#1|)) "\\spad{oneDimensionalArray(l)} creates an array from a list of elements \\spad{l}"))) 
-((-4465 . T) (-4464 . T)) 
-((-2758 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2758 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-4466 . T) (-4465 . T)) 
+((-2760 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2760 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
 (-60 R) 
 ((|constructor| (NIL "\\indented{1}{A TwoDimensionalArray is a two dimensional array with} 1-based indexing for both rows and columns.")) (|shallowlyMutable| ((|attribute|) "One may destructively alter TwoDimensionalArray\\spad{'s}."))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
-(-61 -2627) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
+(-61 -2629) 
 ((|constructor| (NIL "\\spadtype{ASP10} produces Fortran for Type 10 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package}. This ASP computes the values of a set of functions,{} for example:\\begin{verbatim}      SUBROUTINE COEFFN(P,Q,DQDL,X,ELAM,JINT)      DOUBLE PRECISION ELAM,P,Q,X,DQDL      INTEGER JINT      P=1.0D0      Q=((-1.0D0*X**3)+ELAM*X*X-2.0D0)/(X*X)      DQDL=1.0D0      RETURN      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE JINT) (QUOTE X) (QUOTE ELAM)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-62 -2627) 
+(-62 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp12} produces Fortran for Type 12 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package} etc.,{} for example:\\begin{verbatim}      SUBROUTINE MONIT (MAXIT,IFLAG,ELAM,FINFO)      DOUBLE PRECISION ELAM,FINFO(15)      INTEGER MAXIT,IFLAG      IF(MAXIT.EQ.-1)THEN        PRINT*,\"Output from Monit\"      ENDIF      PRINT*,MAXIT,IFLAG,ELAM,(FINFO(I),I=1,4)      RETURN      END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP12}."))) 
 NIL 
 NIL 
-(-63 -2627) 
+(-63 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp19} produces Fortran for Type 19 ASPs,{} evaluating a set of functions and their jacobian at a given point,{} for example:\\begin{verbatim}      SUBROUTINE LSFUN2(M,N,XC,FVECC,FJACC,LJC)      DOUBLE PRECISION FVECC(M),FJACC(LJC,N),XC(N)      INTEGER M,N,LJC      INTEGER I,J      DO 25003 I=1,LJC        DO 25004 J=1,N          FJACC(I,J)=0.0D025004   CONTINUE25003 CONTINUE      FVECC(1)=((XC(1)-0.14D0)*XC(3)+(15.0D0*XC(1)-2.1D0)*XC(2)+1.0D0)/(     &XC(3)+15.0D0*XC(2))      FVECC(2)=((XC(1)-0.18D0)*XC(3)+(7.0D0*XC(1)-1.26D0)*XC(2)+1.0D0)/(     &XC(3)+7.0D0*XC(2))      FVECC(3)=((XC(1)-0.22D0)*XC(3)+(4.333333333333333D0*XC(1)-0.953333     &3333333333D0)*XC(2)+1.0D0)/(XC(3)+4.333333333333333D0*XC(2))      FVECC(4)=((XC(1)-0.25D0)*XC(3)+(3.0D0*XC(1)-0.75D0)*XC(2)+1.0D0)/(     &XC(3)+3.0D0*XC(2))      FVECC(5)=((XC(1)-0.29D0)*XC(3)+(2.2D0*XC(1)-0.6379999999999999D0)*     &XC(2)+1.0D0)/(XC(3)+2.2D0*XC(2))      FVECC(6)=((XC(1)-0.32D0)*XC(3)+(1.666666666666667D0*XC(1)-0.533333     &3333333333D0)*XC(2)+1.0D0)/(XC(3)+1.666666666666667D0*XC(2))      FVECC(7)=((XC(1)-0.35D0)*XC(3)+(1.285714285714286D0*XC(1)-0.45D0)*     &XC(2)+1.0D0)/(XC(3)+1.285714285714286D0*XC(2))      FVECC(8)=((XC(1)-0.39D0)*XC(3)+(XC(1)-0.39D0)*XC(2)+1.0D0)/(XC(3)+     &XC(2))      FVECC(9)=((XC(1)-0.37D0)*XC(3)+(XC(1)-0.37D0)*XC(2)+1.285714285714     &286D0)/(XC(3)+XC(2))      FVECC(10)=((XC(1)-0.58D0)*XC(3)+(XC(1)-0.58D0)*XC(2)+1.66666666666     &6667D0)/(XC(3)+XC(2))      FVECC(11)=((XC(1)-0.73D0)*XC(3)+(XC(1)-0.73D0)*XC(2)+2.2D0)/(XC(3)     &+XC(2))      FVECC(12)=((XC(1)-0.96D0)*XC(3)+(XC(1)-0.96D0)*XC(2)+3.0D0)/(XC(3)     &+XC(2))      FVECC(13)=((XC(1)-1.34D0)*XC(3)+(XC(1)-1.34D0)*XC(2)+4.33333333333     &3333D0)/(XC(3)+XC(2))      FVECC(14)=((XC(1)-2.1D0)*XC(3)+(XC(1)-2.1D0)*XC(2)+7.0D0)/(XC(3)+X     &C(2))      FVECC(15)=((XC(1)-4.39D0)*XC(3)+(XC(1)-4.39D0)*XC(2)+15.0D0)/(XC(3     &)+XC(2))      FJACC(1,1)=1.0D0      FJACC(1,2)=-15.0D0/(XC(3)**2+30.0D0*XC(2)*XC(3)+225.0D0*XC(2)**2)      FJACC(1,3)=-1.0D0/(XC(3)**2+30.0D0*XC(2)*XC(3)+225.0D0*XC(2)**2)      FJACC(2,1)=1.0D0      FJACC(2,2)=-7.0D0/(XC(3)**2+14.0D0*XC(2)*XC(3)+49.0D0*XC(2)**2)      FJACC(2,3)=-1.0D0/(XC(3)**2+14.0D0*XC(2)*XC(3)+49.0D0*XC(2)**2)      FJACC(3,1)=1.0D0      FJACC(3,2)=((-0.1110223024625157D-15*XC(3))-4.333333333333333D0)/(     &XC(3)**2+8.666666666666666D0*XC(2)*XC(3)+18.77777777777778D0*XC(2)     &**2)      FJACC(3,3)=(0.1110223024625157D-15*XC(2)-1.0D0)/(XC(3)**2+8.666666     &666666666D0*XC(2)*XC(3)+18.77777777777778D0*XC(2)**2)      FJACC(4,1)=1.0D0      FJACC(4,2)=-3.0D0/(XC(3)**2+6.0D0*XC(2)*XC(3)+9.0D0*XC(2)**2)      FJACC(4,3)=-1.0D0/(XC(3)**2+6.0D0*XC(2)*XC(3)+9.0D0*XC(2)**2)      FJACC(5,1)=1.0D0      FJACC(5,2)=((-0.1110223024625157D-15*XC(3))-2.2D0)/(XC(3)**2+4.399     &999999999999D0*XC(2)*XC(3)+4.839999999999998D0*XC(2)**2)      FJACC(5,3)=(0.1110223024625157D-15*XC(2)-1.0D0)/(XC(3)**2+4.399999     &999999999D0*XC(2)*XC(3)+4.839999999999998D0*XC(2)**2)      FJACC(6,1)=1.0D0      FJACC(6,2)=((-0.2220446049250313D-15*XC(3))-1.666666666666667D0)/(     &XC(3)**2+3.333333333333333D0*XC(2)*XC(3)+2.777777777777777D0*XC(2)     &**2)      FJACC(6,3)=(0.2220446049250313D-15*XC(2)-1.0D0)/(XC(3)**2+3.333333     &333333333D0*XC(2)*XC(3)+2.777777777777777D0*XC(2)**2)      FJACC(7,1)=1.0D0      FJACC(7,2)=((-0.5551115123125783D-16*XC(3))-1.285714285714286D0)/(     &XC(3)**2+2.571428571428571D0*XC(2)*XC(3)+1.653061224489796D0*XC(2)     &**2)      FJACC(7,3)=(0.5551115123125783D-16*XC(2)-1.0D0)/(XC(3)**2+2.571428     &571428571D0*XC(2)*XC(3)+1.653061224489796D0*XC(2)**2)      FJACC(8,1)=1.0D0      FJACC(8,2)=-1.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      FJACC(8,3)=-1.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      FJACC(9,1)=1.0D0      FJACC(9,2)=-1.285714285714286D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)*     &*2)      FJACC(9,3)=-1.285714285714286D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)*     &*2)      FJACC(10,1)=1.0D0      FJACC(10,2)=-1.666666666666667D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)     &**2)      FJACC(10,3)=-1.666666666666667D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)     &**2)      FJACC(11,1)=1.0D0      FJACC(11,2)=-2.2D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      FJACC(11,3)=-2.2D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      FJACC(12,1)=1.0D0      FJACC(12,2)=-3.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      FJACC(12,3)=-3.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      FJACC(13,1)=1.0D0      FJACC(13,2)=-4.333333333333333D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)     &**2)      FJACC(13,3)=-4.333333333333333D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)     &**2)      FJACC(14,1)=1.0D0      FJACC(14,2)=-7.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      FJACC(14,3)=-7.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      FJACC(15,1)=1.0D0      FJACC(15,2)=-15.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      FJACC(15,3)=-15.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2)      RETURN      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-64 -2627) 
+(-64 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp1} produces Fortran for Type 1 ASPs,{} needed for various NAG routines. Type 1 ASPs take a univariate expression (in the symbol \\spad{X}) and turn it into a Fortran Function like the following:\\begin{verbatim}      DOUBLE PRECISION FUNCTION F(X)      DOUBLE PRECISION X      F=DSIN(X)      RETURN      END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) 
 NIL 
 NIL 
-(-65 -2627) 
+(-65 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp20} produces Fortran for Type 20 ASPs,{} for example:\\begin{verbatim}      SUBROUTINE QPHESS(N,NROWH,NCOLH,JTHCOL,HESS,X,HX)      DOUBLE PRECISION HX(N),X(N),HESS(NROWH,NCOLH)      INTEGER JTHCOL,N,NROWH,NCOLH      HX(1)=2.0D0*X(1)      HX(2)=2.0D0*X(2)      HX(3)=2.0D0*X(4)+2.0D0*X(3)      HX(4)=2.0D0*X(4)+2.0D0*X(3)      HX(5)=2.0D0*X(5)      HX(6)=(-2.0D0*X(7))+(-2.0D0*X(6))      HX(7)=(-2.0D0*X(7))+(-2.0D0*X(6))      RETURN      END\\end{verbatim}"))) 
 NIL 
 NIL 
-(-66 -2627) 
+(-66 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp24} produces Fortran for Type 24 ASPs which evaluate a multivariate function at a point (needed for NAG routine \\axiomOpFrom{e04jaf}{e04Package}),{} for example:\\begin{verbatim}      SUBROUTINE FUNCT1(N,XC,FC)      DOUBLE PRECISION FC,XC(N)      INTEGER N      FC=10.0D0*XC(4)**4+(-40.0D0*XC(1)*XC(4)**3)+(60.0D0*XC(1)**2+5     &.0D0)*XC(4)**2+((-10.0D0*XC(3))+(-40.0D0*XC(1)**3))*XC(4)+16.0D0*X     &C(3)**4+(-32.0D0*XC(2)*XC(3)**3)+(24.0D0*XC(2)**2+5.0D0)*XC(3)**2+     &(-8.0D0*XC(2)**3*XC(3))+XC(2)**4+100.0D0*XC(2)**2+20.0D0*XC(1)*XC(     &2)+10.0D0*XC(1)**4+XC(1)**2      RETURN      END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) 
 NIL 
 NIL 
-(-67 -2627) 
+(-67 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp27} produces Fortran for Type 27 ASPs,{} needed for NAG routine \\axiomOpFrom{f02fjf}{f02Package} ,{}for example:\\begin{verbatim}      FUNCTION DOT(IFLAG,N,Z,W,RWORK,LRWORK,IWORK,LIWORK)      DOUBLE PRECISION W(N),Z(N),RWORK(LRWORK)      INTEGER N,LIWORK,IFLAG,LRWORK,IWORK(LIWORK)      DOT=(W(16)+(-0.5D0*W(15)))*Z(16)+((-0.5D0*W(16))+W(15)+(-0.5D0*W(1     &4)))*Z(15)+((-0.5D0*W(15))+W(14)+(-0.5D0*W(13)))*Z(14)+((-0.5D0*W(     &14))+W(13)+(-0.5D0*W(12)))*Z(13)+((-0.5D0*W(13))+W(12)+(-0.5D0*W(1     &1)))*Z(12)+((-0.5D0*W(12))+W(11)+(-0.5D0*W(10)))*Z(11)+((-0.5D0*W(     &11))+W(10)+(-0.5D0*W(9)))*Z(10)+((-0.5D0*W(10))+W(9)+(-0.5D0*W(8))     &)*Z(9)+((-0.5D0*W(9))+W(8)+(-0.5D0*W(7)))*Z(8)+((-0.5D0*W(8))+W(7)     &+(-0.5D0*W(6)))*Z(7)+((-0.5D0*W(7))+W(6)+(-0.5D0*W(5)))*Z(6)+((-0.     &5D0*W(6))+W(5)+(-0.5D0*W(4)))*Z(5)+((-0.5D0*W(5))+W(4)+(-0.5D0*W(3     &)))*Z(4)+((-0.5D0*W(4))+W(3)+(-0.5D0*W(2)))*Z(3)+((-0.5D0*W(3))+W(     &2)+(-0.5D0*W(1)))*Z(2)+((-0.5D0*W(2))+W(1))*Z(1)      RETURN      END\\end{verbatim}"))) 
 NIL 
 NIL 
-(-68 -2627) 
+(-68 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp28} produces Fortran for Type 28 ASPs,{} used in NAG routine \\axiomOpFrom{f02fjf}{f02Package},{} for example:\\begin{verbatim}      SUBROUTINE IMAGE(IFLAG,N,Z,W,RWORK,LRWORK,IWORK,LIWORK)      DOUBLE PRECISION Z(N),W(N),IWORK(LRWORK),RWORK(LRWORK)      INTEGER N,LIWORK,IFLAG,LRWORK      W(1)=0.01707454969713436D0*Z(16)+0.001747395874954051D0*Z(15)+0.00     &2106973900813502D0*Z(14)+0.002957434991769087D0*Z(13)+(-0.00700554     &0882865317D0*Z(12))+(-0.01219194009813166D0*Z(11))+0.0037230647365     &3087D0*Z(10)+0.04932374658377151D0*Z(9)+(-0.03586220812223305D0*Z(     &8))+(-0.04723268012114625D0*Z(7))+(-0.02434652144032987D0*Z(6))+0.     &2264766947290192D0*Z(5)+(-0.1385343580686922D0*Z(4))+(-0.116530050     &8238904D0*Z(3))+(-0.2803531651057233D0*Z(2))+1.019463911841327D0*Z     &(1)      W(2)=0.0227345011107737D0*Z(16)+0.008812321197398072D0*Z(15)+0.010     &94012210519586D0*Z(14)+(-0.01764072463999744D0*Z(13))+(-0.01357136     &72105995D0*Z(12))+0.00157466157362272D0*Z(11)+0.05258889186338282D     &0*Z(10)+(-0.01981532388243379D0*Z(9))+(-0.06095390688679697D0*Z(8)     &)+(-0.04153119955569051D0*Z(7))+0.2176561076571465D0*Z(6)+(-0.0532     &5555586632358D0*Z(5))+(-0.1688977368984641D0*Z(4))+(-0.32440166056     &67343D0*Z(3))+0.9128222941872173D0*Z(2)+(-0.2419652703415429D0*Z(1     &))      W(3)=0.03371198197190302D0*Z(16)+0.02021603150122265D0*Z(15)+(-0.0     &06607305534689702D0*Z(14))+(-0.03032392238968179D0*Z(13))+0.002033     &305231024948D0*Z(12)+0.05375944956767728D0*Z(11)+(-0.0163213312502     &9967D0*Z(10))+(-0.05483186562035512D0*Z(9))+(-0.04901428822579872D     &0*Z(8))+0.2091097927887612D0*Z(7)+(-0.05760560341383113D0*Z(6))+(-     &0.1236679206156403D0*Z(5))+(-0.3523683853026259D0*Z(4))+0.88929961     &32269974D0*Z(3)+(-0.2995429545781457D0*Z(2))+(-0.02986582812574917     &D0*Z(1))      W(4)=0.05141563713660119D0*Z(16)+0.005239165960779299D0*Z(15)+(-0.     &01623427735779699D0*Z(14))+(-0.01965809746040371D0*Z(13))+0.054688     &97337339577D0*Z(12)+(-0.014224695935687D0*Z(11))+(-0.0505181779315     &6355D0*Z(10))+(-0.04353074206076491D0*Z(9))+0.2012230497530726D0*Z     &(8)+(-0.06630874514535952D0*Z(7))+(-0.1280829963720053D0*Z(6))+(-0     &.305169742604165D0*Z(5))+0.8600427128450191D0*Z(4)+(-0.32415033802     &68184D0*Z(3))+(-0.09033531980693314D0*Z(2))+0.09089205517109111D0*     &Z(1)      W(5)=0.04556369767776375D0*Z(16)+(-0.001822737697581869D0*Z(15))+(     &-0.002512226501941856D0*Z(14))+0.02947046460707379D0*Z(13)+(-0.014     &45079632086177D0*Z(12))+(-0.05034242196614937D0*Z(11))+(-0.0376966     &3291725935D0*Z(10))+0.2171103102175198D0*Z(9)+(-0.0824949256021352     &4D0*Z(8))+(-0.1473995209288945D0*Z(7))+(-0.315042193418466D0*Z(6))     &+0.9591623347824002D0*Z(5)+(-0.3852396953763045D0*Z(4))+(-0.141718     &5427288274D0*Z(3))+(-0.03423495461011043D0*Z(2))+0.319820917706851     &6D0*Z(1)      W(6)=0.04015147277405744D0*Z(16)+0.01328585741341559D0*Z(15)+0.048     &26082005465965D0*Z(14)+(-0.04319641116207706D0*Z(13))+(-0.04931323     &319055762D0*Z(12))+(-0.03526886317505474D0*Z(11))+0.22295383396730     &01D0*Z(10)+(-0.07375317649315155D0*Z(9))+(-0.1589391311991561D0*Z(     &8))+(-0.328001910890377D0*Z(7))+0.952576555482747D0*Z(6)+(-0.31583     &09975786731D0*Z(5))+(-0.1846882042225383D0*Z(4))+(-0.0703762046700     &4427D0*Z(3))+0.2311852964327382D0*Z(2)+0.04254083491825025D0*Z(1)      W(7)=0.06069778964023718D0*Z(16)+0.06681263884671322D0*Z(15)+(-0.0     &2113506688615768D0*Z(14))+(-0.083996867458326D0*Z(13))+(-0.0329843     &8523869648D0*Z(12))+0.2276878326327734D0*Z(11)+(-0.067356038933017     &95D0*Z(10))+(-0.1559813965382218D0*Z(9))+(-0.3363262957694705D0*Z(     &8))+0.9442791158560948D0*Z(7)+(-0.3199955249404657D0*Z(6))+(-0.136     &2463839920727D0*Z(5))+(-0.1006185171570586D0*Z(4))+0.2057504515015     &423D0*Z(3)+(-0.02065879269286707D0*Z(2))+0.03160990266745513D0*Z(1     &)      W(8)=0.126386868896738D0*Z(16)+0.002563370039476418D0*Z(15)+(-0.05     &581757739455641D0*Z(14))+(-0.07777893205900685D0*Z(13))+0.23117338     &45834199D0*Z(12)+(-0.06031581134427592D0*Z(11))+(-0.14805474755869     &52D0*Z(10))+(-0.3364014128402243D0*Z(9))+0.9364014128402244D0*Z(8)     &+(-0.3269452524413048D0*Z(7))+(-0.1396841886557241D0*Z(6))+(-0.056     &1733845834199D0*Z(5))+0.1777789320590069D0*Z(4)+(-0.04418242260544     &359D0*Z(3))+(-0.02756337003947642D0*Z(2))+0.07361313110326199D0*Z(     &1)      W(9)=0.07361313110326199D0*Z(16)+(-0.02756337003947642D0*Z(15))+(-     &0.04418242260544359D0*Z(14))+0.1777789320590069D0*Z(13)+(-0.056173     &3845834199D0*Z(12))+(-0.1396841886557241D0*Z(11))+(-0.326945252441     &3048D0*Z(10))+0.9364014128402244D0*Z(9)+(-0.3364014128402243D0*Z(8     &))+(-0.1480547475586952D0*Z(7))+(-0.06031581134427592D0*Z(6))+0.23     &11733845834199D0*Z(5)+(-0.07777893205900685D0*Z(4))+(-0.0558175773     &9455641D0*Z(3))+0.002563370039476418D0*Z(2)+0.126386868896738D0*Z(     &1)      W(10)=0.03160990266745513D0*Z(16)+(-0.02065879269286707D0*Z(15))+0     &.2057504515015423D0*Z(14)+(-0.1006185171570586D0*Z(13))+(-0.136246     &3839920727D0*Z(12))+(-0.3199955249404657D0*Z(11))+0.94427911585609     &48D0*Z(10)+(-0.3363262957694705D0*Z(9))+(-0.1559813965382218D0*Z(8     &))+(-0.06735603893301795D0*Z(7))+0.2276878326327734D0*Z(6)+(-0.032     &98438523869648D0*Z(5))+(-0.083996867458326D0*Z(4))+(-0.02113506688     &615768D0*Z(3))+0.06681263884671322D0*Z(2)+0.06069778964023718D0*Z(     &1)      W(11)=0.04254083491825025D0*Z(16)+0.2311852964327382D0*Z(15)+(-0.0     &7037620467004427D0*Z(14))+(-0.1846882042225383D0*Z(13))+(-0.315830     &9975786731D0*Z(12))+0.952576555482747D0*Z(11)+(-0.328001910890377D     &0*Z(10))+(-0.1589391311991561D0*Z(9))+(-0.07375317649315155D0*Z(8)     &)+0.2229538339673001D0*Z(7)+(-0.03526886317505474D0*Z(6))+(-0.0493     &1323319055762D0*Z(5))+(-0.04319641116207706D0*Z(4))+0.048260820054     &65965D0*Z(3)+0.01328585741341559D0*Z(2)+0.04015147277405744D0*Z(1)      W(12)=0.3198209177068516D0*Z(16)+(-0.03423495461011043D0*Z(15))+(-     &0.1417185427288274D0*Z(14))+(-0.3852396953763045D0*Z(13))+0.959162     &3347824002D0*Z(12)+(-0.315042193418466D0*Z(11))+(-0.14739952092889     &45D0*Z(10))+(-0.08249492560213524D0*Z(9))+0.2171103102175198D0*Z(8     &)+(-0.03769663291725935D0*Z(7))+(-0.05034242196614937D0*Z(6))+(-0.     &01445079632086177D0*Z(5))+0.02947046460707379D0*Z(4)+(-0.002512226     &501941856D0*Z(3))+(-0.001822737697581869D0*Z(2))+0.045563697677763     &75D0*Z(1)      W(13)=0.09089205517109111D0*Z(16)+(-0.09033531980693314D0*Z(15))+(     &-0.3241503380268184D0*Z(14))+0.8600427128450191D0*Z(13)+(-0.305169     &742604165D0*Z(12))+(-0.1280829963720053D0*Z(11))+(-0.0663087451453     &5952D0*Z(10))+0.2012230497530726D0*Z(9)+(-0.04353074206076491D0*Z(     &8))+(-0.05051817793156355D0*Z(7))+(-0.014224695935687D0*Z(6))+0.05     &468897337339577D0*Z(5)+(-0.01965809746040371D0*Z(4))+(-0.016234277     &35779699D0*Z(3))+0.005239165960779299D0*Z(2)+0.05141563713660119D0     &*Z(1)      W(14)=(-0.02986582812574917D0*Z(16))+(-0.2995429545781457D0*Z(15))     &+0.8892996132269974D0*Z(14)+(-0.3523683853026259D0*Z(13))+(-0.1236     &679206156403D0*Z(12))+(-0.05760560341383113D0*Z(11))+0.20910979278     &87612D0*Z(10)+(-0.04901428822579872D0*Z(9))+(-0.05483186562035512D     &0*Z(8))+(-0.01632133125029967D0*Z(7))+0.05375944956767728D0*Z(6)+0     &.002033305231024948D0*Z(5)+(-0.03032392238968179D0*Z(4))+(-0.00660     &7305534689702D0*Z(3))+0.02021603150122265D0*Z(2)+0.033711981971903     &02D0*Z(1)      W(15)=(-0.2419652703415429D0*Z(16))+0.9128222941872173D0*Z(15)+(-0     &.3244016605667343D0*Z(14))+(-0.1688977368984641D0*Z(13))+(-0.05325     &555586632358D0*Z(12))+0.2176561076571465D0*Z(11)+(-0.0415311995556     &9051D0*Z(10))+(-0.06095390688679697D0*Z(9))+(-0.01981532388243379D     &0*Z(8))+0.05258889186338282D0*Z(7)+0.00157466157362272D0*Z(6)+(-0.     &0135713672105995D0*Z(5))+(-0.01764072463999744D0*Z(4))+0.010940122     &10519586D0*Z(3)+0.008812321197398072D0*Z(2)+0.0227345011107737D0*Z     &(1)      W(16)=1.019463911841327D0*Z(16)+(-0.2803531651057233D0*Z(15))+(-0.     &1165300508238904D0*Z(14))+(-0.1385343580686922D0*Z(13))+0.22647669     &47290192D0*Z(12)+(-0.02434652144032987D0*Z(11))+(-0.04723268012114     &625D0*Z(10))+(-0.03586220812223305D0*Z(9))+0.04932374658377151D0*Z     &(8)+0.00372306473653087D0*Z(7)+(-0.01219194009813166D0*Z(6))+(-0.0     &07005540882865317D0*Z(5))+0.002957434991769087D0*Z(4)+0.0021069739     &00813502D0*Z(3)+0.001747395874954051D0*Z(2)+0.01707454969713436D0*     &Z(1)      RETURN      END\\end{verbatim}"))) 
 NIL 
 NIL 
-(-69 -2627) 
+(-69 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp29} produces Fortran for Type 29 ASPs,{} needed for NAG routine \\axiomOpFrom{f02fjf}{f02Package},{} for example:\\begin{verbatim}      SUBROUTINE MONIT(ISTATE,NEXTIT,NEVALS,NEVECS,K,F,D)      DOUBLE PRECISION D(K),F(K)      INTEGER K,NEXTIT,NEVALS,NVECS,ISTATE      CALL F02FJZ(ISTATE,NEXTIT,NEVALS,NEVECS,K,F,D)      RETURN      END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP29}."))) 
 NIL 
 NIL 
-(-70 -2627) 
+(-70 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp30} produces Fortran for Type 30 ASPs,{} needed for NAG routine \\axiomOpFrom{f04qaf}{f04Package},{} for example:\\begin{verbatim}      SUBROUTINE APROD(MODE,M,N,X,Y,RWORK,LRWORK,IWORK,LIWORK)      DOUBLE PRECISION X(N),Y(M),RWORK(LRWORK)      INTEGER M,N,LIWORK,IFAIL,LRWORK,IWORK(LIWORK),MODE      DOUBLE PRECISION A(5,5)      EXTERNAL F06PAF      A(1,1)=1.0D0      A(1,2)=0.0D0      A(1,3)=0.0D0      A(1,4)=-1.0D0      A(1,5)=0.0D0      A(2,1)=0.0D0      A(2,2)=1.0D0      A(2,3)=0.0D0      A(2,4)=0.0D0      A(2,5)=-1.0D0      A(3,1)=0.0D0      A(3,2)=0.0D0      A(3,3)=1.0D0      A(3,4)=-1.0D0      A(3,5)=0.0D0      A(4,1)=-1.0D0      A(4,2)=0.0D0      A(4,3)=-1.0D0      A(4,4)=4.0D0      A(4,5)=-1.0D0      A(5,1)=0.0D0      A(5,2)=-1.0D0      A(5,3)=0.0D0      A(5,4)=-1.0D0      A(5,5)=4.0D0      IF(MODE.EQ.1)THEN        CALL F06PAF('N',M,N,1.0D0,A,M,X,1,1.0D0,Y,1)      ELSEIF(MODE.EQ.2)THEN        CALL F06PAF('T',M,N,1.0D0,A,M,Y,1,1.0D0,X,1)      ENDIF      RETURN      END\\end{verbatim}"))) 
 NIL 
 NIL 
-(-71 -2627) 
+(-71 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp31} produces Fortran for Type 31 ASPs,{} needed for NAG routine \\axiomOpFrom{d02ejf}{d02Package},{} for example:\\begin{verbatim}      SUBROUTINE PEDERV(X,Y,PW)      DOUBLE PRECISION X,Y(*)      DOUBLE PRECISION PW(3,3)      PW(1,1)=-0.03999999999999999D0      PW(1,2)=10000.0D0*Y(3)      PW(1,3)=10000.0D0*Y(2)      PW(2,1)=0.03999999999999999D0      PW(2,2)=(-10000.0D0*Y(3))+(-60000000.0D0*Y(2))      PW(2,3)=-10000.0D0*Y(2)      PW(3,1)=0.0D0      PW(3,2)=60000000.0D0*Y(2)      PW(3,3)=0.0D0      RETURN      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-72 -2627) 
+(-72 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp33} produces Fortran for Type 33 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package}. The code is a dummy ASP:\\begin{verbatim}      SUBROUTINE REPORT(X,V,JINT)      DOUBLE PRECISION V(3),X      INTEGER JINT      RETURN      END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP33}."))) 
 NIL 
 NIL 
-(-73 -2627) 
+(-73 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp34} produces Fortran for Type 34 ASPs,{} needed for NAG routine \\axiomOpFrom{f04mbf}{f04Package},{} for example:\\begin{verbatim}      SUBROUTINE MSOLVE(IFLAG,N,X,Y,RWORK,LRWORK,IWORK,LIWORK)      DOUBLE PRECISION RWORK(LRWORK),X(N),Y(N)      INTEGER I,J,N,LIWORK,IFLAG,LRWORK,IWORK(LIWORK)      DOUBLE PRECISION W1(3),W2(3),MS(3,3)      IFLAG=-1      MS(1,1)=2.0D0      MS(1,2)=1.0D0      MS(1,3)=0.0D0      MS(2,1)=1.0D0      MS(2,2)=2.0D0      MS(2,3)=1.0D0      MS(3,1)=0.0D0      MS(3,2)=1.0D0      MS(3,3)=2.0D0      CALL F04ASF(MS,N,X,N,Y,W1,W2,IFLAG)      IFLAG=-IFLAG      RETURN      END\\end{verbatim}"))) 
 NIL 
 NIL 
-(-74 -2627) 
+(-74 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp35} produces Fortran for Type 35 ASPs,{} needed for NAG routines \\axiomOpFrom{c05pbf}{c05Package},{} \\axiomOpFrom{c05pcf}{c05Package},{} for example:\\begin{verbatim}      SUBROUTINE FCN(N,X,FVEC,FJAC,LDFJAC,IFLAG)      DOUBLE PRECISION X(N),FVEC(N),FJAC(LDFJAC,N)      INTEGER LDFJAC,N,IFLAG      IF(IFLAG.EQ.1)THEN        FVEC(1)=(-1.0D0*X(2))+X(1)        FVEC(2)=(-1.0D0*X(3))+2.0D0*X(2)        FVEC(3)=3.0D0*X(3)      ELSEIF(IFLAG.EQ.2)THEN        FJAC(1,1)=1.0D0        FJAC(1,2)=-1.0D0        FJAC(1,3)=0.0D0        FJAC(2,1)=0.0D0        FJAC(2,2)=2.0D0        FJAC(2,3)=-1.0D0        FJAC(3,1)=0.0D0        FJAC(3,2)=0.0D0        FJAC(3,3)=3.0D0      ENDIF      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
@@ -236,55 +236,55 @@ NIL
 ((|constructor| (NIL "\\spadtype{Asp42} produces Fortran for Type 42 ASPs,{} needed for NAG routines \\axiomOpFrom{d02raf}{d02Package} and \\axiomOpFrom{d02saf}{d02Package} in particular. These ASPs are in fact three Fortran routines which return a vector of functions,{} and their derivatives \\spad{wrt} \\spad{Y}(\\spad{i}) and also a continuation parameter EPS,{} for example:\\begin{verbatim}      SUBROUTINE G(EPS,YA,YB,BC,N)      DOUBLE PRECISION EPS,YA(N),YB(N),BC(N)      INTEGER N      BC(1)=YA(1)      BC(2)=YA(2)      BC(3)=YB(2)-1.0D0      RETURN      END      SUBROUTINE JACOBG(EPS,YA,YB,AJ,BJ,N)      DOUBLE PRECISION EPS,YA(N),AJ(N,N),BJ(N,N),YB(N)      INTEGER N      AJ(1,1)=1.0D0      AJ(1,2)=0.0D0      AJ(1,3)=0.0D0      AJ(2,1)=0.0D0      AJ(2,2)=1.0D0      AJ(2,3)=0.0D0      AJ(3,1)=0.0D0      AJ(3,2)=0.0D0      AJ(3,3)=0.0D0      BJ(1,1)=0.0D0      BJ(1,2)=0.0D0      BJ(1,3)=0.0D0      BJ(2,1)=0.0D0      BJ(2,2)=0.0D0      BJ(2,3)=0.0D0      BJ(3,1)=0.0D0      BJ(3,2)=1.0D0      BJ(3,3)=0.0D0      RETURN      END      SUBROUTINE JACGEP(EPS,YA,YB,BCEP,N)      DOUBLE PRECISION EPS,YA(N),YB(N),BCEP(N)      INTEGER N      BCEP(1)=0.0D0      BCEP(2)=0.0D0      BCEP(3)=0.0D0      RETURN      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE EPS)) (|construct| (QUOTE YA) (QUOTE YB)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-77 -2627) 
+(-77 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp49} produces Fortran for Type 49 ASPs,{} needed for NAG routines \\axiomOpFrom{e04dgf}{e04Package},{} \\axiomOpFrom{e04ucf}{e04Package},{} for example:\\begin{verbatim}      SUBROUTINE OBJFUN(MODE,N,X,OBJF,OBJGRD,NSTATE,IUSER,USER)      DOUBLE PRECISION X(N),OBJF,OBJGRD(N),USER(*)      INTEGER N,IUSER(*),MODE,NSTATE      OBJF=X(4)*X(9)+((-1.0D0*X(5))+X(3))*X(8)+((-1.0D0*X(3))+X(1))*X(7)     &+(-1.0D0*X(2)*X(6))      OBJGRD(1)=X(7)      OBJGRD(2)=-1.0D0*X(6)      OBJGRD(3)=X(8)+(-1.0D0*X(7))      OBJGRD(4)=X(9)      OBJGRD(5)=-1.0D0*X(8)      OBJGRD(6)=-1.0D0*X(2)      OBJGRD(7)=(-1.0D0*X(3))+X(1)      OBJGRD(8)=(-1.0D0*X(5))+X(3)      OBJGRD(9)=X(4)      RETURN      END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) 
 NIL 
 NIL 
-(-78 -2627) 
+(-78 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp4} produces Fortran for Type 4 ASPs,{} which take an expression in \\spad{X}(1) .. \\spad{X}(NDIM) and produce a real function of the form:\\begin{verbatim}      DOUBLE PRECISION FUNCTION FUNCTN(NDIM,X)      DOUBLE PRECISION X(NDIM)      INTEGER NDIM      FUNCTN=(4.0D0*X(1)*X(3)**2*DEXP(2.0D0*X(1)*X(3)))/(X(4)**2+(2.0D0*     &X(2)+2.0D0)*X(4)+X(2)**2+2.0D0*X(2)+1.0D0)      RETURN      END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) 
 NIL 
 NIL 
-(-79 -2627) 
+(-79 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp50} produces Fortran for Type 50 ASPs,{} needed for NAG routine \\axiomOpFrom{e04fdf}{e04Package},{} for example:\\begin{verbatim}      SUBROUTINE LSFUN1(M,N,XC,FVECC)      DOUBLE PRECISION FVECC(M),XC(N)      INTEGER I,M,N      FVECC(1)=((XC(1)-2.4D0)*XC(3)+(15.0D0*XC(1)-36.0D0)*XC(2)+1.0D0)/(     &XC(3)+15.0D0*XC(2))      FVECC(2)=((XC(1)-2.8D0)*XC(3)+(7.0D0*XC(1)-19.6D0)*XC(2)+1.0D0)/(X     &C(3)+7.0D0*XC(2))      FVECC(3)=((XC(1)-3.2D0)*XC(3)+(4.333333333333333D0*XC(1)-13.866666     &66666667D0)*XC(2)+1.0D0)/(XC(3)+4.333333333333333D0*XC(2))      FVECC(4)=((XC(1)-3.5D0)*XC(3)+(3.0D0*XC(1)-10.5D0)*XC(2)+1.0D0)/(X     &C(3)+3.0D0*XC(2))      FVECC(5)=((XC(1)-3.9D0)*XC(3)+(2.2D0*XC(1)-8.579999999999998D0)*XC     &(2)+1.0D0)/(XC(3)+2.2D0*XC(2))      FVECC(6)=((XC(1)-4.199999999999999D0)*XC(3)+(1.666666666666667D0*X     &C(1)-7.0D0)*XC(2)+1.0D0)/(XC(3)+1.666666666666667D0*XC(2))      FVECC(7)=((XC(1)-4.5D0)*XC(3)+(1.285714285714286D0*XC(1)-5.7857142     &85714286D0)*XC(2)+1.0D0)/(XC(3)+1.285714285714286D0*XC(2))      FVECC(8)=((XC(1)-4.899999999999999D0)*XC(3)+(XC(1)-4.8999999999999     &99D0)*XC(2)+1.0D0)/(XC(3)+XC(2))      FVECC(9)=((XC(1)-4.699999999999999D0)*XC(3)+(XC(1)-4.6999999999999     &99D0)*XC(2)+1.285714285714286D0)/(XC(3)+XC(2))      FVECC(10)=((XC(1)-6.8D0)*XC(3)+(XC(1)-6.8D0)*XC(2)+1.6666666666666     &67D0)/(XC(3)+XC(2))      FVECC(11)=((XC(1)-8.299999999999999D0)*XC(3)+(XC(1)-8.299999999999     &999D0)*XC(2)+2.2D0)/(XC(3)+XC(2))      FVECC(12)=((XC(1)-10.6D0)*XC(3)+(XC(1)-10.6D0)*XC(2)+3.0D0)/(XC(3)     &+XC(2))      FVECC(13)=((XC(1)-1.34D0)*XC(3)+(XC(1)-1.34D0)*XC(2)+4.33333333333     &3333D0)/(XC(3)+XC(2))      FVECC(14)=((XC(1)-2.1D0)*XC(3)+(XC(1)-2.1D0)*XC(2)+7.0D0)/(XC(3)+X     &C(2))      FVECC(15)=((XC(1)-4.39D0)*XC(3)+(XC(1)-4.39D0)*XC(2)+15.0D0)/(XC(3     &)+XC(2))      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-80 -2627) 
+(-80 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp55} produces Fortran for Type 55 ASPs,{} needed for NAG routines \\axiomOpFrom{e04dgf}{e04Package} and \\axiomOpFrom{e04ucf}{e04Package},{} for example:\\begin{verbatim}      SUBROUTINE CONFUN(MODE,NCNLN,N,NROWJ,NEEDC,X,C,CJAC,NSTATE,IUSER     &,USER)      DOUBLE PRECISION C(NCNLN),X(N),CJAC(NROWJ,N),USER(*)      INTEGER N,IUSER(*),NEEDC(NCNLN),NROWJ,MODE,NCNLN,NSTATE      IF(NEEDC(1).GT.0)THEN        C(1)=X(6)**2+X(1)**2        CJAC(1,1)=2.0D0*X(1)        CJAC(1,2)=0.0D0        CJAC(1,3)=0.0D0        CJAC(1,4)=0.0D0        CJAC(1,5)=0.0D0        CJAC(1,6)=2.0D0*X(6)      ENDIF      IF(NEEDC(2).GT.0)THEN        C(2)=X(2)**2+(-2.0D0*X(1)*X(2))+X(1)**2        CJAC(2,1)=(-2.0D0*X(2))+2.0D0*X(1)        CJAC(2,2)=2.0D0*X(2)+(-2.0D0*X(1))        CJAC(2,3)=0.0D0        CJAC(2,4)=0.0D0        CJAC(2,5)=0.0D0        CJAC(2,6)=0.0D0      ENDIF      IF(NEEDC(3).GT.0)THEN        C(3)=X(3)**2+(-2.0D0*X(1)*X(3))+X(2)**2+X(1)**2        CJAC(3,1)=(-2.0D0*X(3))+2.0D0*X(1)        CJAC(3,2)=2.0D0*X(2)        CJAC(3,3)=2.0D0*X(3)+(-2.0D0*X(1))        CJAC(3,4)=0.0D0        CJAC(3,5)=0.0D0        CJAC(3,6)=0.0D0      ENDIF      RETURN      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-81 -2627) 
+(-81 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp6} produces Fortran for Type 6 ASPs,{} needed for NAG routines \\axiomOpFrom{c05nbf}{c05Package},{} \\axiomOpFrom{c05ncf}{c05Package}. These represent vectors of functions of \\spad{X}(\\spad{i}) and look like:\\begin{verbatim}      SUBROUTINE FCN(N,X,FVEC,IFLAG)      DOUBLE PRECISION X(N),FVEC(N)      INTEGER N,IFLAG      FVEC(1)=(-2.0D0*X(2))+(-2.0D0*X(1)**2)+3.0D0*X(1)+1.0D0      FVEC(2)=(-2.0D0*X(3))+(-2.0D0*X(2)**2)+3.0D0*X(2)+(-1.0D0*X(1))+1.     &0D0      FVEC(3)=(-2.0D0*X(4))+(-2.0D0*X(3)**2)+3.0D0*X(3)+(-1.0D0*X(2))+1.     &0D0      FVEC(4)=(-2.0D0*X(5))+(-2.0D0*X(4)**2)+3.0D0*X(4)+(-1.0D0*X(3))+1.     &0D0      FVEC(5)=(-2.0D0*X(6))+(-2.0D0*X(5)**2)+3.0D0*X(5)+(-1.0D0*X(4))+1.     &0D0      FVEC(6)=(-2.0D0*X(7))+(-2.0D0*X(6)**2)+3.0D0*X(6)+(-1.0D0*X(5))+1.     &0D0      FVEC(7)=(-2.0D0*X(8))+(-2.0D0*X(7)**2)+3.0D0*X(7)+(-1.0D0*X(6))+1.     &0D0      FVEC(8)=(-2.0D0*X(9))+(-2.0D0*X(8)**2)+3.0D0*X(8)+(-1.0D0*X(7))+1.     &0D0      FVEC(9)=(-2.0D0*X(9)**2)+3.0D0*X(9)+(-1.0D0*X(8))+1.0D0      RETURN      END\\end{verbatim}"))) 
 NIL 
 NIL 
-(-82 -2627) 
+(-82 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp73} produces Fortran for Type 73 ASPs,{} needed for NAG routine \\axiomOpFrom{d03eef}{d03Package},{} for example:\\begin{verbatim}      SUBROUTINE PDEF(X,Y,ALPHA,BETA,GAMMA,DELTA,EPSOLN,PHI,PSI)      DOUBLE PRECISION ALPHA,EPSOLN,PHI,X,Y,BETA,DELTA,GAMMA,PSI      ALPHA=DSIN(X)      BETA=Y      GAMMA=X*Y      DELTA=DCOS(X)*DSIN(Y)      EPSOLN=Y+X      PHI=X      PSI=Y      RETURN      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X) (QUOTE Y)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-83 -2627) 
+(-83 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp74} produces Fortran for Type 74 ASPs,{} needed for NAG routine \\axiomOpFrom{d03eef}{d03Package},{} for example:\\begin{verbatim}      SUBROUTINE BNDY(X,Y,A,B,C,IBND)      DOUBLE PRECISION A,B,C,X,Y      INTEGER IBND      IF(IBND.EQ.0)THEN        A=0.0D0        B=1.0D0        C=-1.0D0*DSIN(X)      ELSEIF(IBND.EQ.1)THEN        A=1.0D0        B=0.0D0        C=DSIN(X)*DSIN(Y)      ELSEIF(IBND.EQ.2)THEN        A=1.0D0        B=0.0D0        C=DSIN(X)*DSIN(Y)      ELSEIF(IBND.EQ.3)THEN        A=0.0D0        B=1.0D0        C=-1.0D0*DSIN(Y)      ENDIF      END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE X) (QUOTE Y)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-84 -2627) 
+(-84 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp77} produces Fortran for Type 77 ASPs,{} needed for NAG routine \\axiomOpFrom{d02gbf}{d02Package},{} for example:\\begin{verbatim}      SUBROUTINE FCNF(X,F)      DOUBLE PRECISION X      DOUBLE PRECISION F(2,2)      F(1,1)=0.0D0      F(1,2)=1.0D0      F(2,1)=0.0D0      F(2,2)=-10.0D0      RETURN      END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-85 -2627) 
+(-85 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp78} produces Fortran for Type 78 ASPs,{} needed for NAG routine \\axiomOpFrom{d02gbf}{d02Package},{} for example:\\begin{verbatim}      SUBROUTINE FCNG(X,G)      DOUBLE PRECISION G(*),X      G(1)=0.0D0      G(2)=0.0D0      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-86 -2627) 
+(-86 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp7} produces Fortran for Type 7 ASPs,{} needed for NAG routines \\axiomOpFrom{d02bbf}{d02Package},{} \\axiomOpFrom{d02gaf}{d02Package}. These represent a vector of functions of the scalar \\spad{X} and the array \\spad{Z},{} and look like:\\begin{verbatim}      SUBROUTINE FCN(X,Z,F)      DOUBLE PRECISION F(*),X,Z(*)      F(1)=DTAN(Z(3))      F(2)=((-0.03199999999999999D0*DCOS(Z(3))*DTAN(Z(3)))+(-0.02D0*Z(2)     &**2))/(Z(2)*DCOS(Z(3)))      F(3)=-0.03199999999999999D0/(X*Z(2)**2)      RETURN      END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-87 -2627) 
+(-87 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp80} produces Fortran for Type 80 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package},{} for example:\\begin{verbatim}      SUBROUTINE BDYVAL(XL,XR,ELAM,YL,YR)      DOUBLE PRECISION ELAM,XL,YL(3),XR,YR(3)      YL(1)=XL      YL(2)=2.0D0      YR(1)=1.0D0      YR(2)=-1.0D0*DSQRT(XR+(-1.0D0*ELAM))      RETURN      END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE XL) (QUOTE XR) (QUOTE ELAM)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) 
 NIL 
 NIL 
-(-88 -2627) 
+(-88 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp8} produces Fortran for Type 8 ASPs,{} needed for NAG routine \\axiomOpFrom{d02bbf}{d02Package}. This ASP prints intermediate values of the computed solution of an ODE and might look like:\\begin{verbatim}      SUBROUTINE OUTPUT(XSOL,Y,COUNT,M,N,RESULT,FORWRD)      DOUBLE PRECISION Y(N),RESULT(M,N),XSOL      INTEGER M,N,COUNT      LOGICAL FORWRD      DOUBLE PRECISION X02ALF,POINTS(8)      EXTERNAL X02ALF      INTEGER I      POINTS(1)=1.0D0      POINTS(2)=2.0D0      POINTS(3)=3.0D0      POINTS(4)=4.0D0      POINTS(5)=5.0D0      POINTS(6)=6.0D0      POINTS(7)=7.0D0      POINTS(8)=8.0D0      COUNT=COUNT+1      DO 25001 I=1,N        RESULT(COUNT,I)=Y(I)25001 CONTINUE      IF(COUNT.EQ.M)THEN        IF(FORWRD)THEN          XSOL=X02ALF()        ELSE          XSOL=-X02ALF()        ENDIF      ELSE        XSOL=POINTS(COUNT)      ENDIF      END\\end{verbatim}"))) 
 NIL 
 NIL 
-(-89 -2627) 
+(-89 -2629) 
 ((|constructor| (NIL "\\spadtype{Asp9} produces Fortran for Type 9 ASPs,{} needed for NAG routines \\axiomOpFrom{d02bhf}{d02Package},{} \\axiomOpFrom{d02cjf}{d02Package},{} \\axiomOpFrom{d02ejf}{d02Package}. These ASPs represent a function of a scalar \\spad{X} and a vector \\spad{Y},{} for example:\\begin{verbatim}      DOUBLE PRECISION FUNCTION G(X,Y)      DOUBLE PRECISION X,Y(*)      G=X+Y(1)      RETURN      END\\end{verbatim} If the user provides a constant value for \\spad{G},{} then extra information is added via COMMON blocks used by certain routines. This specifies that the value returned by \\spad{G} in this case is to be ignored.")) (|coerce| (($ (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) 
 NIL 
 NIL 
@@ -294,8 +294,8 @@ NIL
 ((|HasCategory| |#1| (QUOTE (-374)))) 
 (-91 S) 
 ((|constructor| (NIL "A stack represented as a flexible array.")) (|arrayStack| (($ (|List| |#1|)) "\\spad{arrayStack([x,y,...,z])} creates an array stack with first (top) element \\spad{x},{} second element \\spad{y},{}...,{}and last element \\spad{z}."))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
 (-92 S) 
 ((|constructor| (NIL "This is the category of Spad abstract syntax trees."))) 
 NIL 
@@ -318,15 +318,15 @@ NIL
 NIL 
 (-97) 
 ((|constructor| (NIL "\\axiomType{AttributeButtons} implements a database and associated adjustment mechanisms for a set of attributes. \\blankline For ODEs these attributes are \"stiffness\",{} \"stability\" (\\spadignore{i.e.} how much affect the cosine or sine component of the solution has on the stability of the result),{} \"accuracy\" and \"expense\" (\\spadignore{i.e.} how expensive is the evaluation of the ODE). All these have bearing on the cost of calculating the solution given that reducing the step-length to achieve greater accuracy requires considerable number of evaluations and calculations. \\blankline The effect of each of these attributes can be altered by increasing or decreasing the button value. \\blankline For Integration there is a button for increasing and decreasing the preset number of function evaluations for each method. This is automatically used by ANNA when a method fails due to insufficient workspace or where the limit of function evaluations has been reached before the required accuracy is achieved. \\blankline")) (|setButtonValue| (((|Float|) (|String|) (|String|) (|Float|)) "\\axiom{setButtonValue(attributeName,{}routineName,{}\\spad{n})} sets the value of the button of attribute \\spad{attributeName} to routine \\spad{routineName} to \\spad{n}. \\spad{n} must be in the range [0..1]. \\blankline \\axiom{attributeName} should be one of the values \"stiffness\",{} \"stability\",{} \"accuracy\",{} \"expense\" or \"functionEvaluations\".") (((|Float|) (|String|) (|Float|)) "\\axiom{setButtonValue(attributeName,{}\\spad{n})} sets the value of all buttons of attribute \\spad{attributeName} to \\spad{n}. \\spad{n} must be in the range [0..1]. \\blankline \\axiom{attributeName} should be one of the values \"stiffness\",{} \"stability\",{} \"accuracy\",{} \"expense\" or \"functionEvaluations\".")) (|setAttributeButtonStep| (((|Float|) (|Float|)) "\\axiom{setAttributeButtonStep(\\spad{n})} sets the value of the steps for increasing and decreasing the button values. \\axiom{\\spad{n}} must be greater than 0 and less than 1. The preset value is 0.5.")) (|resetAttributeButtons| (((|Void|)) "\\axiom{resetAttributeButtons()} resets the Attribute buttons to a neutral level.")) (|getButtonValue| (((|Float|) (|String|) (|String|)) "\\axiom{getButtonValue(routineName,{}attributeName)} returns the current value for the effect of the attribute \\axiom{attributeName} with routine \\axiom{routineName}. \\blankline \\axiom{attributeName} should be one of the values \"stiffness\",{} \"stability\",{} \"accuracy\",{} \"expense\" or \"functionEvaluations\".")) (|decrease| (((|Float|) (|String|)) "\\axiom{decrease(attributeName)} decreases the value for the effect of the attribute \\axiom{attributeName} with all routines. \\blankline \\axiom{attributeName} should be one of the values \"stiffness\",{} \"stability\",{} \"accuracy\",{} \"expense\" or \"functionEvaluations\".") (((|Float|) (|String|) (|String|)) "\\axiom{decrease(routineName,{}attributeName)} decreases the value for the effect of the attribute \\axiom{attributeName} with routine \\axiom{routineName}. \\blankline \\axiom{attributeName} should be one of the values \"stiffness\",{} \"stability\",{} \"accuracy\",{} \"expense\" or \"functionEvaluations\".")) (|increase| (((|Float|) (|String|)) "\\axiom{increase(attributeName)} increases the value for the effect of the attribute \\axiom{attributeName} with all routines. \\blankline \\axiom{attributeName} should be one of the values \"stiffness\",{} \"stability\",{} \"accuracy\",{} \"expense\" or \"functionEvaluations\".") (((|Float|) (|String|) (|String|)) "\\axiom{increase(routineName,{}attributeName)} increases the value for the effect of the attribute \\axiom{attributeName} with routine \\axiom{routineName}. \\blankline \\axiom{attributeName} should be one of the values \"stiffness\",{} \"stability\",{} \"accuracy\",{} \"expense\" or \"functionEvaluations\"."))) 
-((-4464 . T)) 
+((-4465 . T)) 
 NIL 
 (-98) 
 ((|constructor| (NIL "This category exports the attributes in the AXIOM Library")) (|canonical| ((|attribute|) "\\spad{canonical} is \\spad{true} if and only if distinct elements have distinct data structures. For example,{} a domain of mathematical objects which has the \\spad{canonical} attribute means that two objects are mathematically equal if and only if their data structures are equal.")) (|multiplicativeValuation| ((|attribute|) "\\spad{multiplicativeValuation} implies \\spad{euclideanSize(a*b)=euclideanSize(a)*euclideanSize(b)}.")) (|additiveValuation| ((|attribute|) "\\spad{additiveValuation} implies \\spad{euclideanSize(a*b)=euclideanSize(a)+euclideanSize(b)}.")) (|noetherian| ((|attribute|) "\\spad{noetherian} is \\spad{true} if all of its ideals are finitely generated.")) (|central| ((|attribute|) "\\spad{central} is \\spad{true} if,{} given an algebra over a ring \\spad{R},{} the image of \\spad{R} is the center of the algebra,{} \\spadignore{i.e.} the set of members of the algebra which commute with all others is precisely the image of \\spad{R} in the algebra.")) (|partiallyOrderedSet| ((|attribute|) "\\spad{partiallyOrderedSet} is \\spad{true} if a set with \\spadop{<} which is transitive,{} but \\spad{not(a < b or a = b)} does not necessarily imply \\spad{b<a}.")) (|arbitraryPrecision| ((|attribute|) "\\spad{arbitraryPrecision} means the user can set the precision for subsequent calculations.")) (|canonicalsClosed| ((|attribute|) "\\spad{canonicalsClosed} is \\spad{true} if \\spad{unitCanonical(a)*unitCanonical(b) = unitCanonical(a*b)}.")) (|canonicalUnitNormal| ((|attribute|) "\\spad{canonicalUnitNormal} is \\spad{true} if we can choose a canonical representative for each class of associate elements,{} that is \\spad{associates?(a,b)} returns \\spad{true} if and only if \\spad{unitCanonical(a) = unitCanonical(b)}.")) (|noZeroDivisors| ((|attribute|) "\\spad{noZeroDivisors} is \\spad{true} if \\spad{x * y \\~~= 0} implies both \\spad{x} and \\spad{y} are non-zero.")) (|rightUnitary| ((|attribute|) "\\spad{rightUnitary} is \\spad{true} if \\spad{x * 1 = x} for all \\spad{x}.")) (|leftUnitary| ((|attribute|) "\\spad{leftUnitary} is \\spad{true} if \\spad{1 * x = x} for all \\spad{x}.")) (|unitsKnown| ((|attribute|) "\\spad{unitsKnown} is \\spad{true} if a monoid (a multiplicative semigroup with a 1) has \\spad{unitsKnown} means that the operation \\spadfun{recip} can only return \"failed\" if its argument is not a unit.")) (|shallowlyMutable| ((|attribute|) "\\spad{shallowlyMutable} is \\spad{true} if its values have immediate components that are updateable (mutable). Note: the properties of any component domain are irrevelant to the \\spad{shallowlyMutable} proper.")) (|commutative| ((|attribute| "*") "\\spad{commutative(\"*\")} is \\spad{true} if it has an operation \\spad{\"*\": (D,D) -> D} which is commutative.")) (|finiteAggregate| ((|attribute|) "\\spad{finiteAggregate} is \\spad{true} if it is an aggregate with a finite number of elements."))) 
-((-4464 . T) ((-4466 "*") . T) (-4465 . T) (-4461 . T) (-4459 . T) (-4458 . T) (-4457 . T) (-4462 . T) (-4456 . T) (-4455 . T) (-4454 . T) (-4453 . T) (-4452 . T) (-4460 . T) (-4463 . T) (|NullSquare| . T) (|JacobiIdentity| . T) (-4451 . T)) 
+((-4465 . T) ((-4467 "*") . T) (-4466 . T) (-4462 . T) (-4460 . T) (-4459 . T) (-4458 . T) (-4463 . T) (-4457 . T) (-4456 . T) (-4455 . T) (-4454 . T) (-4453 . T) (-4461 . T) (-4464 . T) (|NullSquare| . T) (|JacobiIdentity| . T) (-4452 . T)) 
 NIL 
 (-99 R) 
 ((|constructor| (NIL "Automorphism \\spad{R} is the multiplicative group of automorphisms of \\spad{R}.")) (|morphism| (($ (|Mapping| |#1| |#1| (|Integer|))) "\\spad{morphism(f)} returns the morphism given by \\spad{f^n(x) = f(x,n)}.") (($ (|Mapping| |#1| |#1|) (|Mapping| |#1| |#1|)) "\\spad{morphism(f, g)} returns the invertible morphism given by \\spad{f},{} where \\spad{g} is the inverse of \\spad{f}..") (($ (|Mapping| |#1| |#1|)) "\\spad{morphism(f)} returns the non-invertible morphism given by \\spad{f}."))) 
-((-4461 . T)) 
+((-4462 . T)) 
 NIL 
 (-100 R UP) 
 ((|constructor| (NIL "This package provides balanced factorisations of polynomials.")) (|balancedFactorisation| (((|Factored| |#2|) |#2| (|List| |#2|)) "\\spad{balancedFactorisation(a, [b1,...,bn])} returns a factorisation \\spad{a = p1^e1 ... pm^em} such that each \\spad{pi} is balanced with respect to \\spad{[b1,...,bm]}.") (((|Factored| |#2|) |#2| |#2|) "\\spad{balancedFactorisation(a, b)} returns a factorisation \\spad{a = p1^e1 ... pm^em} such that each \\spad{pi} is balanced with respect to \\spad{b}."))) 
@@ -342,15 +342,15 @@ NIL
 NIL 
 (-103 S) 
 ((|constructor| (NIL "\\spadtype{BalancedBinaryTree(S)} is the domain of balanced binary trees (bbtree). A balanced binary tree of \\spad{2**k} leaves,{} for some \\spad{k > 0},{} is symmetric,{} that is,{} the left and right subtree of each interior node have identical shape. In general,{} the left and right subtree of a given node can differ by at most leaf node.")) (|mapDown!| (($ $ |#1| (|Mapping| (|List| |#1|) |#1| |#1| |#1|)) "\\spad{mapDown!(t,p,f)} returns \\spad{t} after traversing \\spad{t} in \"preorder\" (node then left then right) fashion replacing the successive interior nodes as follows. Let \\spad{l} and \\spad{r} denote the left and right subtrees of \\spad{t}. The root value \\spad{x} of \\spad{t} is replaced by \\spad{p}. Then \\spad{f}(value \\spad{l},{} value \\spad{r},{} \\spad{p}),{} where \\spad{l} and \\spad{r} denote the left and right subtrees of \\spad{t},{} is evaluated producing two values \\spad{pl} and \\spad{pr}. Then \\spad{mapDown!(l,pl,f)} and \\spad{mapDown!(l,pr,f)} are evaluated.") (($ $ |#1| (|Mapping| |#1| |#1| |#1|)) "\\spad{mapDown!(t,p,f)} returns \\spad{t} after traversing \\spad{t} in \"preorder\" (node then left then right) fashion replacing the successive interior nodes as follows. The root value \\spad{x} is replaced by \\spad{q} \\spad{:=} \\spad{f}(\\spad{p},{}\\spad{x}). The mapDown!(\\spad{l},{}\\spad{q},{}\\spad{f}) and mapDown!(\\spad{r},{}\\spad{q},{}\\spad{f}) are evaluated for the left and right subtrees \\spad{l} and \\spad{r} of \\spad{t}.")) (|mapUp!| (($ $ $ (|Mapping| |#1| |#1| |#1| |#1| |#1|)) "\\spad{mapUp!(t,t1,f)} traverses \\spad{t} in an \"endorder\" (left then right then node) fashion returning \\spad{t} with the value at each successive interior node of \\spad{t} replaced by \\spad{f}(\\spad{l},{}\\spad{r},{}\\spad{l1},{}\\spad{r1}) where \\spad{l} and \\spad{r} are the values at the immediate left and right nodes. Values \\spad{l1} and \\spad{r1} are values at the corresponding nodes of a balanced binary tree \\spad{t1},{} of identical shape at \\spad{t}.") ((|#1| $ (|Mapping| |#1| |#1| |#1|)) "\\spad{mapUp!(t,f)} traverses balanced binary tree \\spad{t} in an \"endorder\" (left then right then node) fashion returning \\spad{t} with the value at each successive interior node of \\spad{t} replaced by \\spad{f}(\\spad{l},{}\\spad{r}) where \\spad{l} and \\spad{r} are the values at the immediate left and right nodes.")) (|setleaves!| (($ $ (|List| |#1|)) "\\spad{setleaves!(t, ls)} sets the leaves of \\spad{t} in left-to-right order to the elements of \\spad{ls}.")) (|balancedBinaryTree| (($ (|NonNegativeInteger|) |#1|) "\\spad{balancedBinaryTree(n, s)} creates a balanced binary tree with \\spad{n} nodes each with value \\spad{s}."))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
 (-104 R UP M |Row| |Col|) 
 ((|constructor| (NIL "\\spadtype{BezoutMatrix} contains functions for computing resultants and discriminants using Bezout matrices.")) (|bezoutDiscriminant| ((|#1| |#2|) "\\spad{bezoutDiscriminant(p)} computes the discriminant of a polynomial \\spad{p} by computing the determinant of a Bezout matrix.")) (|bezoutResultant| ((|#1| |#2| |#2|) "\\spad{bezoutResultant(p,q)} computes the resultant of the two polynomials \\spad{p} and \\spad{q} by computing the determinant of a Bezout matrix.")) (|bezoutMatrix| ((|#3| |#2| |#2|) "\\spad{bezoutMatrix(p,q)} returns the Bezout matrix for the two polynomials \\spad{p} and \\spad{q}.")) (|sylvesterMatrix| ((|#3| |#2| |#2|) "\\spad{sylvesterMatrix(p,q)} returns the Sylvester matrix for the two polynomials \\spad{p} and \\spad{q}."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE (-4466 "*")))) 
+((|HasAttribute| |#1| (QUOTE (-4467 "*")))) 
 (-105) 
 ((|bfEntry| (((|Record| (|:| |zeros| (|Stream| (|DoubleFloat|))) (|:| |ones| (|Stream| (|DoubleFloat|))) (|:| |singularities| (|Stream| (|DoubleFloat|)))) (|Symbol|)) "\\spad{bfEntry(k)} returns the entry in the \\axiomType{BasicFunctions} table corresponding to \\spad{k}")) (|bfKeys| (((|List| (|Symbol|))) "\\spad{bfKeys()} returns the names of each function in the \\axiomType{BasicFunctions} table"))) 
-((-4464 . T)) 
+((-4465 . T)) 
 NIL 
 (-106 A S) 
 ((|constructor| (NIL "A bag aggregate is an aggregate for which one can insert and extract objects,{} and where the order in which objects are inserted determines the order of extraction. Examples of bags are stacks,{} queues,{} and dequeues.")) (|inspect| ((|#2| $) "\\spad{inspect(u)} returns an (random) element from a bag.")) (|insert!| (($ |#2| $) "\\spad{insert!(x,u)} inserts item \\spad{x} into bag \\spad{u}.")) (|extract!| ((|#2| $) "\\spad{extract!(u)} destructively removes a (random) item from bag \\spad{u}.")) (|bag| (($ (|List| |#2|)) "\\spad{bag([x,y,...,z])} creates a bag with elements \\spad{x},{}\\spad{y},{}...,{}\\spad{z}.")) (|shallowlyMutable| ((|attribute|) "shallowlyMutable means that elements of bags may be destructively changed."))) 
@@ -358,23 +358,23 @@ NIL
 NIL 
 (-107 S) 
 ((|constructor| (NIL "A bag aggregate is an aggregate for which one can insert and extract objects,{} and where the order in which objects are inserted determines the order of extraction. Examples of bags are stacks,{} queues,{} and dequeues.")) (|inspect| ((|#1| $) "\\spad{inspect(u)} returns an (random) element from a bag.")) (|insert!| (($ |#1| $) "\\spad{insert!(x,u)} inserts item \\spad{x} into bag \\spad{u}.")) (|extract!| ((|#1| $) "\\spad{extract!(u)} destructively removes a (random) item from bag \\spad{u}.")) (|bag| (($ (|List| |#1|)) "\\spad{bag([x,y,...,z])} creates a bag with elements \\spad{x},{}\\spad{y},{}...,{}\\spad{z}.")) (|shallowlyMutable| ((|attribute|) "shallowlyMutable means that elements of bags may be destructively changed."))) 
-((-4465 . T)) 
+((-4466 . T)) 
 NIL 
 (-108) 
 ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating binary expansions.")) (|binary| (($ (|Fraction| (|Integer|))) "\\spad{binary(r)} converts a rational number to a binary expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(b)} returns the fractional part of a binary expansion."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| (-576) (QUOTE (-928))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1043))) (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861))) (-2758 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861)))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1173))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -319) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -296) (QUOTE (-576)) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-317))) (|HasCategory| (-576) (QUOTE (-557))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (|HasCategory| (-576) (QUOTE (-146))))) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| (-576) (QUOTE (-928))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1043))) (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861))) (-2760 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861)))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1173))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -319) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -296) (QUOTE (-576)) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-317))) (|HasCategory| (-576) (QUOTE (-557))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (|HasCategory| (-576) (QUOTE (-146))))) 
 (-109) 
 ((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 18,{} 2008. A `Binding' is a name asosciated with a collection of properties.")) (|binding| (($ (|Identifier|) (|List| (|Property|))) "\\spad{binding(n,props)} constructs a binding with name \\spad{`n'} and property list `props'.")) (|properties| (((|List| (|Property|)) $) "\\spad{properties(b)} returns the properties associated with binding \\spad{b}.")) (|name| (((|Identifier|) $) "\\spad{name(b)} returns the name of binding \\spad{b}"))) 
 NIL 
 NIL 
 (-110) 
 ((|constructor| (NIL "\\spadtype{Bits} provides logical functions for Indexed Bits.")) (|bits| (($ (|NonNegativeInteger|) (|Boolean|)) "\\spad{bits(n,b)} creates bits with \\spad{n} values of \\spad{b}"))) 
-((-4465 . T) (-4464 . T)) 
+((-4466 . T) (-4465 . T)) 
 ((-12 (|HasCategory| (-112) (QUOTE (-1121))) (|HasCategory| (-112) (LIST (QUOTE -319) (QUOTE (-112))))) (|HasCategory| (-112) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-112) (QUOTE (-861))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| (-112) (QUOTE (-1121))) (|HasCategory| (-112) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-112) (QUOTE (-102)))) 
 (-111 R S) 
 ((|constructor| (NIL "A \\spadtype{BiModule} is both a left and right module with respect to potentially different rings. \\blankline")) (|rightUnitary| ((|attribute|) "\\spad{x * 1 = x}")) (|leftUnitary| ((|attribute|) "\\spad{1 * x = x}"))) 
-((-4459 . T) (-4458 . T)) 
+((-4460 . T) (-4459 . T)) 
 NIL 
 (-112) 
 ((|constructor| (NIL "\\indented{1}{\\spadtype{Boolean} is the elementary logic with 2 values:} \\spad{true} and \\spad{false}")) (|test| (($ $) "\\spad{test(b)} returns \\spad{b} and is provided for compatibility with the new compiler.")) (|nor| (($ $ $) "\\spad{nor(a,b)} returns the logical negation of \\spad{a} or \\spad{b}.")) (|nand| (($ $ $) "\\spad{nand(a,b)} returns the logical negation of \\spad{a} and \\spad{b}.")) (|xor| (($ $ $) "\\spad{xor(a,b)} returns the logical exclusive {\\em or} of Boolean \\spad{a} and \\spad{b}."))) 
@@ -392,22 +392,22 @@ NIL
 ((|constructor| (NIL "A basic operator is an object that can be applied to a list of arguments from a set,{} the result being a kernel over that set.")) (|setProperties| (($ $ (|AssociationList| (|String|) (|None|))) "\\spad{setProperties(op, l)} sets the property list of \\spad{op} to \\spad{l}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|setProperty| (($ $ (|Identifier|) (|None|)) "\\spad{setProperty(op, p, v)} attaches property \\spad{p} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|) (|None|)) "\\spad{setProperty(op, s, v)} attaches property \\spad{s} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|property| (((|Maybe| (|None|)) $ (|Identifier|)) "\\spad{property(op, p)} returns the value of property \\spad{p} if it is attached to \\spad{op},{} otherwise \\spad{nothing}.") (((|Union| (|None|) "failed") $ (|String|)) "\\spad{property(op, s)} returns the value of property \\spad{s} if it is attached to \\spad{op},{} and \"failed\" otherwise.")) (|deleteProperty!| (($ $ (|Identifier|)) "\\spad{deleteProperty!(op, p)} unattaches property \\spad{p} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|)) "\\spad{deleteProperty!(op, s)} unattaches property \\spad{s} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|assert| (($ $ (|Identifier|)) "\\spad{assert(op, p)} attaches property \\spad{p} to \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|has?| (((|Boolean|) $ (|Identifier|)) "\\spad{has?(op,p)} tests if property \\spad{s} is attached to \\spad{op}.")) (|input| (((|Union| (|Mapping| (|InputForm|) (|List| (|InputForm|))) "failed") $) "\\spad{input(op)} returns the \"\\%input\" property of \\spad{op} if it has one attached,{} \"failed\" otherwise.") (($ $ (|Mapping| (|InputForm|) (|List| (|InputForm|)))) "\\spad{input(op, foo)} attaches foo as the \"\\%input\" property of \\spad{op}. If \\spad{op} has a \"\\%input\" property \\spad{f},{} then \\spad{op(a1,...,an)} gets converted to InputForm as \\spad{f(a1,...,an)}.")) (|display| (($ $ (|Mapping| (|OutputForm|) (|OutputForm|))) "\\spad{display(op, foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a)} gets converted to OutputForm as \\spad{f(a)}. Argument \\spad{op} must be unary.") (($ $ (|Mapping| (|OutputForm|) (|List| (|OutputForm|)))) "\\spad{display(op, foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a1,...,an)} gets converted to OutputForm as \\spad{f(a1,...,an)}.") (((|Union| (|Mapping| (|OutputForm|) (|List| (|OutputForm|))) "failed") $) "\\spad{display(op)} returns the \"\\%display\" property of \\spad{op} if it has one attached,{} and \"failed\" otherwise.")) (|comparison| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{comparison(op, foo?)} attaches foo? as the \"\\%less?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has a \"\\%less?\" property \\spad{f},{} then \\spad{f(op1, op2)} is called to decide whether \\spad{op1 < op2}.")) (|equality| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{equality(op, foo?)} attaches foo? as the \"\\%equal?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has an \"\\%equal?\" property \\spad{f},{} then \\spad{f(op1, op2)} is called to decide whether op1 and op2 should be considered equal.")) (|weight| (($ $ (|NonNegativeInteger|)) "\\spad{weight(op, n)} attaches the weight \\spad{n} to \\spad{op}.") (((|NonNegativeInteger|) $) "\\spad{weight(op)} returns the weight attached to \\spad{op}.")) (|nary?| (((|Boolean|) $) "\\spad{nary?(op)} tests if \\spad{op} has arbitrary arity.")) (|unary?| (((|Boolean|) $) "\\spad{unary?(op)} tests if \\spad{op} is unary.")) (|nullary?| (((|Boolean|) $) "\\spad{nullary?(op)} tests if \\spad{op} is nullary.")) (|operator| (($ (|Symbol|) (|Arity|)) "\\spad{operator(f, a)} makes \\spad{f} into an operator of arity \\spad{a}.") (($ (|Symbol|) (|NonNegativeInteger|)) "\\spad{operator(f, n)} makes \\spad{f} into an \\spad{n}-ary operator.") (($ (|Symbol|)) "\\spad{operator(f)} makes \\spad{f} into an operator with arbitrary arity.")) (|copy| (($ $) "\\spad{copy(op)} returns a copy of \\spad{op}.")) (|properties| (((|AssociationList| (|String|) (|None|)) $) "\\spad{properties(op)} returns the list of all the properties currently attached to \\spad{op}."))) 
 NIL 
 NIL 
-(-116 -1959 UP) 
+(-116 -1962 UP) 
 ((|constructor| (NIL "\\spadtype{BoundIntegerRoots} provides functions to find lower bounds on the integer roots of a polynomial.")) (|integerBound| (((|Integer|) |#2|) "\\spad{integerBound(p)} returns a lower bound on the negative integer roots of \\spad{p},{} and 0 if \\spad{p} has no negative integer roots."))) 
 NIL 
 NIL 
 (-117 |p|) 
 ((|constructor| (NIL "Stream-based implementation of \\spad{Zp:} \\spad{p}-adic numbers are represented as sum(\\spad{i} = 0..,{} a[\\spad{i}] * p^i),{} where the a[\\spad{i}] lie in -(\\spad{p} - 1)\\spad{/2},{}...,{}(\\spad{p} - 1)\\spad{/2}."))) 
-((-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-118 |p|) 
 ((|constructor| (NIL "Stream-based implementation of \\spad{Qp:} numbers are represented as sum(\\spad{i} = \\spad{k}..,{} a[\\spad{i}] * p^i),{} where the a[\\spad{i}] lie in -(\\spad{p} - 1)\\spad{/2},{}...,{}(\\spad{p} - 1)\\spad{/2}."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| (-117 |#1|) (QUOTE (-928))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-148))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-117 |#1|) (QUOTE (-1043))) (|HasCategory| (-117 |#1|) (QUOTE (-832))) (|HasCategory| (-117 |#1|) (QUOTE (-861))) (-2758 (|HasCategory| (-117 |#1|) (QUOTE (-832))) (|HasCategory| (-117 |#1|) (QUOTE (-861)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (QUOTE (-1173))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (QUOTE (-237))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-117 |#1|) (QUOTE (-238))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -526) (QUOTE (-1197)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -319) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -296) (LIST (QUOTE -117) (|devaluate| |#1|)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (QUOTE (-317))) (|HasCategory| (-117 |#1|) (QUOTE (-557))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-928)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-928)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))))) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| (-117 |#1|) (QUOTE (-928))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-148))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-117 |#1|) (QUOTE (-1043))) (|HasCategory| (-117 |#1|) (QUOTE (-832))) (|HasCategory| (-117 |#1|) (QUOTE (-861))) (-2760 (|HasCategory| (-117 |#1|) (QUOTE (-832))) (|HasCategory| (-117 |#1|) (QUOTE (-861)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (QUOTE (-1173))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (QUOTE (-237))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-117 |#1|) (QUOTE (-238))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -526) (QUOTE (-1197)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -319) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -296) (LIST (QUOTE -117) (|devaluate| |#1|)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (QUOTE (-317))) (|HasCategory| (-117 |#1|) (QUOTE (-557))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-928)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-928)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))))) 
 (-119 A S) 
 ((|constructor| (NIL "A binary-recursive aggregate has 0,{} 1 or 2 children and serves as a model for a binary tree or a doubly-linked aggregate structure")) (|setright!| (($ $ $) "\\spad{setright!(a,x)} sets the right child of \\spad{t} to be \\spad{x}.")) (|setleft!| (($ $ $) "\\spad{setleft!(a,b)} sets the left child of \\axiom{a} to be \\spad{b}.")) (|setelt| (($ $ "right" $) "\\spad{setelt(a,\"right\",b)} (also written \\axiom{\\spad{b} . right \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setright!(a,{}\\spad{b})}.") (($ $ "left" $) "\\spad{setelt(a,\"left\",b)} (also written \\axiom{a . left \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setleft!(a,{}\\spad{b})}.")) (|right| (($ $) "\\spad{right(a)} returns the right child.")) (|elt| (($ $ "right") "\\spad{elt(a,\"right\")} (also written: \\axiom{a . right}) is equivalent to \\axiom{right(a)}.") (($ $ "left") "\\spad{elt(u,\"left\")} (also written: \\axiom{a . left}) is equivalent to \\axiom{left(a)}.")) (|left| (($ $) "\\spad{left(u)} returns the left child."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4465))) 
+((|HasAttribute| |#1| (QUOTE -4466))) 
 (-120 S) 
 ((|constructor| (NIL "A binary-recursive aggregate has 0,{} 1 or 2 children and serves as a model for a binary tree or a doubly-linked aggregate structure")) (|setright!| (($ $ $) "\\spad{setright!(a,x)} sets the right child of \\spad{t} to be \\spad{x}.")) (|setleft!| (($ $ $) "\\spad{setleft!(a,b)} sets the left child of \\axiom{a} to be \\spad{b}.")) (|setelt| (($ $ "right" $) "\\spad{setelt(a,\"right\",b)} (also written \\axiom{\\spad{b} . right \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setright!(a,{}\\spad{b})}.") (($ $ "left" $) "\\spad{setelt(a,\"left\",b)} (also written \\axiom{a . left \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setleft!(a,{}\\spad{b})}.")) (|right| (($ $) "\\spad{right(a)} returns the right child.")) (|elt| (($ $ "right") "\\spad{elt(a,\"right\")} (also written: \\axiom{a . right}) is equivalent to \\axiom{right(a)}.") (($ $ "left") "\\spad{elt(u,\"left\")} (also written: \\axiom{a . left}) is equivalent to \\axiom{left(a)}.")) (|left| (($ $) "\\spad{left(u)} returns the left child."))) 
 NIL 
@@ -418,15 +418,15 @@ NIL
 NIL 
 (-122 S) 
 ((|constructor| (NIL "BinarySearchTree(\\spad{S}) is the domain of a binary trees where elements are ordered across the tree. A binary search tree is either empty or has a value which is an \\spad{S},{} and a right and left which are both BinaryTree(\\spad{S}) Elements are ordered across the tree.")) (|split| (((|Record| (|:| |less| $) (|:| |greater| $)) |#1| $) "\\spad{split(x,b)} splits binary tree \\spad{b} into two trees,{} one with elements greater than \\spad{x},{} the other with elements less than \\spad{x}.")) (|insertRoot!| (($ |#1| $) "\\spad{insertRoot!(x,b)} inserts element \\spad{x} as a root of binary search tree \\spad{b}.")) (|insert!| (($ |#1| $) "\\spad{insert!(x,b)} inserts element \\spad{x} as leaves into binary search tree \\spad{b}.")) (|binarySearchTree| (($ (|List| |#1|)) "\\spad{binarySearchTree(l)} \\undocumented"))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
 (-123 S) 
 ((|constructor| (NIL "The bit aggregate category models aggregates representing large quantities of Boolean data.")) (|xor| (($ $ $) "\\spad{xor(a,b)} returns the logical {\\em exclusive-or} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nor| (($ $ $) "\\spad{nor(a,b)} returns the logical {\\em nor} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nand| (($ $ $) "\\spad{nand(a,b)} returns the logical {\\em nand} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}."))) 
 NIL 
 NIL 
 (-124) 
 ((|constructor| (NIL "The bit aggregate category models aggregates representing large quantities of Boolean data.")) (|xor| (($ $ $) "\\spad{xor(a,b)} returns the logical {\\em exclusive-or} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nor| (($ $ $) "\\spad{nor(a,b)} returns the logical {\\em nor} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nand| (($ $ $) "\\spad{nand(a,b)} returns the logical {\\em nand} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}."))) 
-((-4465 . T) (-4464 . T)) 
+((-4466 . T) (-4465 . T)) 
 NIL 
 (-125 A S) 
 ((|constructor| (NIL "\\spadtype{BinaryTreeCategory(S)} is the category of binary trees: a tree which is either empty or else is a \\spadfun{node} consisting of a value and a \\spadfun{left} and \\spadfun{right},{} both binary trees.")) (|node| (($ $ |#2| $) "\\spad{node(left,v,right)} creates a binary tree with value \\spad{v},{} a binary tree \\spad{left},{} and a binary tree \\spad{right}.")) (|finiteAggregate| ((|attribute|) "Binary trees have a finite number of components")) (|shallowlyMutable| ((|attribute|) "Binary trees have updateable components"))) 
@@ -434,20 +434,20 @@ NIL
 NIL 
 (-126 S) 
 ((|constructor| (NIL "\\spadtype{BinaryTreeCategory(S)} is the category of binary trees: a tree which is either empty or else is a \\spadfun{node} consisting of a value and a \\spadfun{left} and \\spadfun{right},{} both binary trees.")) (|node| (($ $ |#1| $) "\\spad{node(left,v,right)} creates a binary tree with value \\spad{v},{} a binary tree \\spad{left},{} and a binary tree \\spad{right}.")) (|finiteAggregate| ((|attribute|) "Binary trees have a finite number of components")) (|shallowlyMutable| ((|attribute|) "Binary trees have updateable components"))) 
-((-4464 . T) (-4465 . T)) 
+((-4465 . T) (-4466 . T)) 
 NIL 
 (-127 S) 
 ((|constructor| (NIL "\\spadtype{BinaryTournament(S)} is the domain of binary trees where elements are ordered down the tree. A binary search tree is either empty or is a node containing a \\spadfun{value} of type \\spad{S},{} and a \\spadfun{right} and a \\spadfun{left} which are both \\spadtype{BinaryTree(S)}")) (|insert!| (($ |#1| $) "\\spad{insert!(x,b)} inserts element \\spad{x} as leaves into binary tournament \\spad{b}.")) (|binaryTournament| (($ (|List| |#1|)) "\\spad{binaryTournament(ls)} creates a binary tournament with the elements of \\spad{ls} as values at the nodes."))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
 (-128 S) 
 ((|constructor| (NIL "\\spadtype{BinaryTree(S)} is the domain of all binary trees. A binary tree over \\spad{S} is either empty or has a \\spadfun{value} which is an \\spad{S} and a \\spadfun{right} and \\spadfun{left} which are both binary trees.")) (|binaryTree| (($ $ |#1| $) "\\spad{binaryTree(l,v,r)} creates a binary tree with value \\spad{v} with left subtree \\spad{l} and right subtree \\spad{r}.") (($ |#1|) "\\spad{binaryTree(v)} is an non-empty binary tree with value \\spad{v},{} and left and right empty."))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
 (-129) 
 ((|constructor| (NIL "ByteBuffer provides datatype for buffers of bytes. This domain differs from PrimitiveArray Byte in that it is not as rigid as PrimitiveArray Byte. That is,{} the typical use of ByteBuffer is to pre-allocate a vector of Byte of some capacity \\spad{`n'}. The array can then store up to \\spad{`n'} bytes. The actual interesting bytes count (the length of the buffer) is therefore different from the capacity. The length is no more than the capacity,{} but it can be set dynamically as needed. This functionality is used for example when reading bytes from input/output devices where we use buffers to transfer data in and out of the system. Note: a value of type ByteBuffer is 0-based indexed,{} as opposed \\indented{6}{Vector,{} but not unlike PrimitiveArray Byte.}")) (|finiteAggregate| ((|attribute|) "A ByteBuffer object is a finite aggregate")) (|setLength!| (((|NonNegativeInteger|) $ (|NonNegativeInteger|)) "\\spad{setLength!(buf,n)} sets the number of active bytes in the `buf'. Error if \\spad{`n'} is more than the capacity.")) (|capacity| (((|NonNegativeInteger|) $) "\\spad{capacity(buf)} returns the pre-allocated maximum size of `buf'.")) (|byteBuffer| (($ (|NonNegativeInteger|)) "\\spad{byteBuffer(n)} creates a buffer of capacity \\spad{n},{} and length 0."))) 
-((-4465 . T) (-4464 . T)) 
-((-2758 (-12 (|HasCategory| (-130) (QUOTE (-861))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130))))) (-12 (|HasCategory| (-130) (QUOTE (-1121))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130)))))) (-2758 (-12 (|HasCategory| (-130) (QUOTE (-1121))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130))))) (|HasCategory| (-130) (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-130) (LIST (QUOTE -626) (QUOTE (-548)))) (-2758 (|HasCategory| (-130) (QUOTE (-861))) (|HasCategory| (-130) (QUOTE (-1121)))) (|HasCategory| (-130) (QUOTE (-861))) (-2758 (|HasCategory| (-130) (QUOTE (-102))) (|HasCategory| (-130) (QUOTE (-861))) (|HasCategory| (-130) (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| (-130) (QUOTE (-1121))) (|HasCategory| (-130) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-130) (QUOTE (-102))) (-12 (|HasCategory| (-130) (QUOTE (-1121))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130)))))) 
+((-4466 . T) (-4465 . T)) 
+((-2760 (-12 (|HasCategory| (-130) (QUOTE (-861))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130))))) (-12 (|HasCategory| (-130) (QUOTE (-1121))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130)))))) (-2760 (-12 (|HasCategory| (-130) (QUOTE (-1121))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130))))) (|HasCategory| (-130) (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-130) (LIST (QUOTE -626) (QUOTE (-548)))) (-2760 (|HasCategory| (-130) (QUOTE (-861))) (|HasCategory| (-130) (QUOTE (-1121)))) (|HasCategory| (-130) (QUOTE (-861))) (-2760 (|HasCategory| (-130) (QUOTE (-102))) (|HasCategory| (-130) (QUOTE (-861))) (|HasCategory| (-130) (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| (-130) (QUOTE (-1121))) (|HasCategory| (-130) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-130) (QUOTE (-102))) (-12 (|HasCategory| (-130) (QUOTE (-1121))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130)))))) 
 (-130) 
 ((|constructor| (NIL "Byte is the datatype of 8-bit sized unsigned integer values.")) (|sample| (($) "\\spad{sample} gives a sample datum of type Byte.")) (|bitior| (($ $ $) "bitor(\\spad{x},{}\\spad{y}) returns the bitwise `inclusive or' of \\spad{`x'} and \\spad{`y'}.")) (|bitand| (($ $ $) "\\spad{bitand(x,y)} returns the bitwise `and' of \\spad{`x'} and \\spad{`y'}.")) (|byte| (($ (|NonNegativeInteger|)) "\\spad{byte(x)} injects the unsigned integer value \\spad{`v'} into the Byte algebra. \\spad{`v'} must be non-negative and less than 256."))) 
 NIL 
@@ -470,13 +470,13 @@ NIL
 NIL 
 (-135) 
 ((|constructor| (NIL "Members of the domain CardinalNumber are values indicating the cardinality of sets,{} both finite and infinite. Arithmetic operations are defined on cardinal numbers as follows. \\blankline If \\spad{x = \\#X} and \\spad{y = \\#Y} then \\indented{2}{\\spad{x+y\\space{2}= \\#(X+Y)}\\space{3}\\tab{30}disjoint union} \\indented{2}{\\spad{x-y\\space{2}= \\#(X-Y)}\\space{3}\\tab{30}relative complement} \\indented{2}{\\spad{x*y\\space{2}= \\#(X*Y)}\\space{3}\\tab{30}cartesian product} \\indented{2}{\\spad{x**y = \\#(X**Y)}\\space{2}\\tab{30}\\spad{X**Y = \\{g| g:Y->X\\}}} \\blankline The non-negative integers have a natural construction as cardinals \\indented{2}{\\spad{0 = \\#\\{\\}},{} \\spad{1 = \\{0\\}},{} \\spad{2 = \\{0, 1\\}},{} ...,{} \\spad{n = \\{i| 0 <= i < n\\}}.} \\blankline That \\spad{0} acts as a zero for the multiplication of cardinals is equivalent to the axiom of choice. \\blankline The generalized continuum hypothesis asserts \\center{\\spad{2**Aleph i = Aleph(i+1)}} and is independent of the axioms of set theory [Goedel 1940]. \\blankline Three commonly encountered cardinal numbers are \\indented{3}{\\spad{a = \\#Z}\\space{7}\\tab{30}countable infinity} \\indented{3}{\\spad{c = \\#R}\\space{7}\\tab{30}the continuum} \\indented{3}{\\spad{f = \\#\\{g| g:[0,1]->R\\}}} \\blankline In this domain,{} these values are obtained using \\indented{3}{\\spad{a := Aleph 0},{} \\spad{c := 2**a},{} \\spad{f := 2**c}.} \\blankline")) (|generalizedContinuumHypothesisAssumed| (((|Boolean|) (|Boolean|)) "\\spad{generalizedContinuumHypothesisAssumed(bool)} is used to dictate whether the hypothesis is to be assumed.")) (|generalizedContinuumHypothesisAssumed?| (((|Boolean|)) "\\spad{generalizedContinuumHypothesisAssumed?()} tests if the hypothesis is currently assumed.")) (|countable?| (((|Boolean|) $) "\\spad{countable?(\\spad{a})} determines whether \\spad{a} is a countable cardinal,{} \\spadignore{i.e.} an integer or \\spad{Aleph 0}.")) (|finite?| (((|Boolean|) $) "\\spad{finite?(\\spad{a})} determines whether \\spad{a} is a finite cardinal,{} \\spadignore{i.e.} an integer.")) (|Aleph| (($ (|NonNegativeInteger|)) "\\spad{Aleph(n)} provides the named (infinite) cardinal number.")) (** (($ $ $) "\\spad{x**y} returns \\spad{\\#(X**Y)} where \\spad{X**Y} is defined \\indented{1}{as \\spad{\\{g| g:Y->X\\}}.}")) (- (((|Union| $ "failed") $ $) "\\spad{x - y} returns an element \\spad{z} such that \\spad{z+y=x} or \"failed\" if no such element exists.")) (|commutative| ((|attribute| "*") "a domain \\spad{D} has \\spad{commutative(\"*\")} if it has an operation \\spad{\"*\": (D,D) -> D} which is commutative."))) 
-(((-4466 "*") . T)) 
+(((-4467 "*") . T)) 
 NIL 
-(-136 |minix| -2704 S T$) 
+(-136 |minix| -2706 S T$) 
 ((|constructor| (NIL "This package provides functions to enable conversion of tensors given conversion of the components.")) (|map| (((|CartesianTensor| |#1| |#2| |#4|) (|Mapping| |#4| |#3|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{map(f,ts)} does a componentwise conversion of the tensor \\spad{ts} to a tensor with components of type \\spad{T}.")) (|reshape| (((|CartesianTensor| |#1| |#2| |#4|) (|List| |#4|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{reshape(lt,ts)} organizes the list of components \\spad{lt} into a tensor with the same shape as \\spad{ts}."))) 
 NIL 
 NIL 
-(-137 |minix| -2704 R) 
+(-137 |minix| -2706 R) 
 ((|constructor| (NIL "CartesianTensor(minix,{}dim,{}\\spad{R}) provides Cartesian tensors with components belonging to a commutative ring \\spad{R}. These tensors can have any number of indices. Each index takes values from \\spad{minix} to \\spad{minix + dim - 1}.")) (|sample| (($) "\\spad{sample()} returns an object of type \\%.")) (|unravel| (($ (|List| |#3|)) "\\spad{unravel(t)} produces a tensor from a list of components such that \\indented{2}{\\spad{unravel(ravel(t)) = t}.}")) (|ravel| (((|List| |#3|) $) "\\spad{ravel(t)} produces a list of components from a tensor such that \\indented{2}{\\spad{unravel(ravel(t)) = t}.}")) (|leviCivitaSymbol| (($) "\\spad{leviCivitaSymbol()} is the rank \\spad{dim} tensor defined by \\spad{leviCivitaSymbol()(i1,...idim) = +1/0/-1} if \\spad{i1,...,idim} is an even/is nota /is an odd permutation of \\spad{minix,...,minix+dim-1}.")) (|kroneckerDelta| (($) "\\spad{kroneckerDelta()} is the rank 2 tensor defined by \\indented{3}{\\spad{kroneckerDelta()(i,j)}} \\indented{6}{\\spad{= 1\\space{2}if i = j}} \\indented{6}{\\spad{= 0 if\\space{2}i \\~= j}}")) (|reindex| (($ $ (|List| (|Integer|))) "\\spad{reindex(t,[i1,...,idim])} permutes the indices of \\spad{t}. For example,{} if \\spad{r = reindex(t, [4,1,2,3])} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank for tensor given by \\indented{4}{\\spad{r(i,j,k,l) = t(l,i,j,k)}.}")) (|transpose| (($ $ (|Integer|) (|Integer|)) "\\spad{transpose(t,i,j)} exchanges the \\spad{i}\\spad{-}th and \\spad{j}\\spad{-}th indices of \\spad{t}. For example,{} if \\spad{r = transpose(t,2,3)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 4 tensor given by \\indented{4}{\\spad{r(i,j,k,l) = t(i,k,j,l)}.}") (($ $) "\\spad{transpose(t)} exchanges the first and last indices of \\spad{t}. For example,{} if \\spad{r = transpose(t)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 4 tensor given by \\indented{4}{\\spad{r(i,j,k,l) = t(l,j,k,i)}.}")) (|contract| (($ $ (|Integer|) (|Integer|)) "\\spad{contract(t,i,j)} is the contraction of tensor \\spad{t} which sums along the \\spad{i}\\spad{-}th and \\spad{j}\\spad{-}th indices. For example,{} if \\spad{r = contract(t,1,3)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 2 \\spad{(= 4 - 2)} tensor given by \\indented{4}{\\spad{r(i,j) = sum(h=1..dim,t(h,i,h,j))}.}") (($ $ (|Integer|) $ (|Integer|)) "\\spad{contract(t,i,s,j)} is the inner product of tenors \\spad{s} and \\spad{t} which sums along the \\spad{k1}\\spad{-}th index of \\spad{t} and the \\spad{k2}\\spad{-}th index of \\spad{s}. For example,{} if \\spad{r = contract(s,2,t,1)} for rank 3 tensors rank 3 tensors \\spad{s} and \\spad{t},{} then \\spad{r} is the rank 4 \\spad{(= 3 + 3 - 2)} tensor given by \\indented{4}{\\spad{r(i,j,k,l) = sum(h=1..dim,s(i,h,j)*t(h,k,l))}.}")) (* (($ $ $) "\\spad{s*t} is the inner product of the tensors \\spad{s} and \\spad{t} which contracts the last index of \\spad{s} with the first index of \\spad{t},{} \\spadignore{i.e.} \\indented{4}{\\spad{t*s = contract(t,rank t, s, 1)}} \\indented{4}{\\spad{t*s = sum(k=1..N, t[i1,..,iN,k]*s[k,j1,..,jM])}} This is compatible with the use of \\spad{M*v} to denote the matrix-vector inner product.")) (|product| (($ $ $) "\\spad{product(s,t)} is the outer product of the tensors \\spad{s} and \\spad{t}. For example,{} if \\spad{r = product(s,t)} for rank 2 tensors \\spad{s} and \\spad{t},{} then \\spad{r} is a rank 4 tensor given by \\indented{4}{\\spad{r(i,j,k,l) = s(i,j)*t(k,l)}.}")) (|elt| ((|#3| $ (|List| (|Integer|))) "\\spad{elt(t,[i1,...,iN])} gives a component of a rank \\spad{N} tensor.") ((|#3| $ (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{elt(t,i,j,k,l)} gives a component of a rank 4 tensor.") ((|#3| $ (|Integer|) (|Integer|) (|Integer|)) "\\spad{elt(t,i,j,k)} gives a component of a rank 3 tensor.") ((|#3| $ (|Integer|) (|Integer|)) "\\spad{elt(t,i,j)} gives a component of a rank 2 tensor.") ((|#3| $) "\\spad{elt(t)} gives the component of a rank 0 tensor.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(t)} returns the tensorial rank of \\spad{t} (that is,{} the number of indices). This is the same as the graded module degree.")) (|coerce| (($ (|List| $)) "\\spad{coerce([t_1,...,t_dim])} allows tensors to be constructed using lists.") (($ (|List| |#3|)) "\\spad{coerce([r_1,...,r_dim])} allows tensors to be constructed using lists.") (($ (|SquareMatrix| |#2| |#3|)) "\\spad{coerce(m)} views a matrix as a rank 2 tensor.") (($ (|DirectProduct| |#2| |#3|)) "\\spad{coerce(v)} views a vector as a rank 1 tensor."))) 
 NIL 
 NIL 
@@ -498,8 +498,8 @@ NIL
 NIL 
 (-142) 
 ((|constructor| (NIL "This domain allows classes of characters to be defined and manipulated efficiently.")) (|alphanumeric| (($) "\\spad{alphanumeric()} returns the class of all characters for which \\spadfunFrom{alphanumeric?}{Character} is \\spad{true}.")) (|alphabetic| (($) "\\spad{alphabetic()} returns the class of all characters for which \\spadfunFrom{alphabetic?}{Character} is \\spad{true}.")) (|lowerCase| (($) "\\spad{lowerCase()} returns the class of all characters for which \\spadfunFrom{lowerCase?}{Character} is \\spad{true}.")) (|upperCase| (($) "\\spad{upperCase()} returns the class of all characters for which \\spadfunFrom{upperCase?}{Character} is \\spad{true}.")) (|hexDigit| (($) "\\spad{hexDigit()} returns the class of all characters for which \\spadfunFrom{hexDigit?}{Character} is \\spad{true}.")) (|digit| (($) "\\spad{digit()} returns the class of all characters for which \\spadfunFrom{digit?}{Character} is \\spad{true}.")) (|charClass| (($ (|List| (|Character|))) "\\spad{charClass(l)} creates a character class which contains exactly the characters given in the list \\spad{l}.") (($ (|String|)) "\\spad{charClass(s)} creates a character class which contains exactly the characters given in the string \\spad{s}."))) 
-((-4464 . T) (-4454 . T) (-4465 . T)) 
-((-2758 (-12 (|HasCategory| (-145) (QUOTE (-379))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-145) (QUOTE (-379))) (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) 
+((-4465 . T) (-4455 . T) (-4466 . T)) 
+((-2760 (-12 (|HasCategory| (-145) (QUOTE (-379))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-145) (QUOTE (-379))) (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) 
 (-143 R Q A) 
 ((|constructor| (NIL "CommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#3|) "\\spad{splitDenominator([q1,...,qn])} returns \\spad{[[p1,...,pn], d]} such that \\spad{qi = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|clearDenominator| ((|#3| |#3|) "\\spad{clearDenominator([q1,...,qn])} returns \\spad{[p1,...,pn]} such that \\spad{qi = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|commonDenominator| ((|#1| |#3|) "\\spad{commonDenominator([q1,...,qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}\\spad{qn}."))) 
 NIL 
@@ -514,7 +514,7 @@ NIL
 NIL 
 (-146) 
 ((|constructor| (NIL "Rings of Characteristic Non Zero")) (|charthRoot| (((|Union| $ "failed") $) "\\spad{charthRoot(x)} returns the \\spad{p}th root of \\spad{x} where \\spad{p} is the characteristic of the ring."))) 
-((-4461 . T)) 
+((-4462 . T)) 
 NIL 
 (-147 R) 
 ((|constructor| (NIL "This package provides a characteristicPolynomial function for any matrix over a commutative ring.")) (|characteristicPolynomial| ((|#1| (|Matrix| |#1|) |#1|) "\\spad{characteristicPolynomial(m,r)} computes the characteristic polynomial of the matrix \\spad{m} evaluated at the point \\spad{r}. In particular,{} if \\spad{r} is the polynomial \\spad{'x},{} then it returns the characteristic polynomial expressed as a polynomial in \\spad{'x}."))) 
@@ -522,9 +522,9 @@ NIL
 NIL 
 (-148) 
 ((|constructor| (NIL "Rings of Characteristic Zero."))) 
-((-4461 . T)) 
+((-4462 . T)) 
 NIL 
-(-149 -1959 UP UPUP) 
+(-149 -1962 UP UPUP) 
 ((|constructor| (NIL "Tools to send a point to infinity on an algebraic curve.")) (|chvar| (((|Record| (|:| |func| |#3|) (|:| |poly| |#3|) (|:| |c1| (|Fraction| |#2|)) (|:| |c2| (|Fraction| |#2|)) (|:| |deg| (|NonNegativeInteger|))) |#3| |#3|) "\\spad{chvar(f(x,y), p(x,y))} returns \\spad{[g(z,t), q(z,t), c1(z), c2(z), n]} such that under the change of variable \\spad{x = c1(z)},{} \\spad{y = t * c2(z)},{} one gets \\spad{f(x,y) = g(z,t)}. The algebraic relation between \\spad{x} and \\spad{y} is \\spad{p(x, y) = 0}. The algebraic relation between \\spad{z} and \\spad{t} is \\spad{q(z, t) = 0}.")) (|eval| ((|#3| |#3| (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{eval(p(x,y), f(x), g(x))} returns \\spad{p(f(x), y * g(x))}.")) (|goodPoint| ((|#1| |#3| |#3|) "\\spad{goodPoint(p, q)} returns an integer a such that a is neither a pole of \\spad{p(x,y)} nor a branch point of \\spad{q(x,y) = 0}.")) (|rootPoly| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| (|Fraction| |#2|)) (|:| |radicand| |#2|)) (|Fraction| |#2|) (|NonNegativeInteger|)) "\\spad{rootPoly(g, n)} returns \\spad{[m, c, P]} such that \\spad{c * g ** (1/n) = P ** (1/m)} thus if \\spad{y**n = g},{} then \\spad{z**m = P} where \\spad{z = c * y}.")) (|radPoly| (((|Union| (|Record| (|:| |radicand| (|Fraction| |#2|)) (|:| |deg| (|NonNegativeInteger|))) "failed") |#3|) "\\spad{radPoly(p(x, y))} returns \\spad{[c(x), n]} if \\spad{p} is of the form \\spad{y**n - c(x)},{} \"failed\" otherwise.")) (|mkIntegral| (((|Record| (|:| |coef| (|Fraction| |#2|)) (|:| |poly| |#3|)) |#3|) "\\spad{mkIntegral(p(x,y))} returns \\spad{[c(x), q(x,z)]} such that \\spad{z = c * y} is integral. The algebraic relation between \\spad{x} and \\spad{y} is \\spad{p(x, y) = 0}. The algebraic relation between \\spad{x} and \\spad{z} is \\spad{q(x, z) = 0}."))) 
 NIL 
 NIL 
@@ -535,14 +535,14 @@ NIL
 (-151 A S) 
 ((|constructor| (NIL "A collection is a homogeneous aggregate which can built from list of members. The operation used to build the aggregate is generically named \\spadfun{construct}. However,{} each collection provides its own special function with the same name as the data type,{} except with an initial lower case letter,{} \\spadignore{e.g.} \\spadfun{list} for \\spadtype{List},{} \\spadfun{flexibleArray} for \\spadtype{FlexibleArray},{} and so on.")) (|removeDuplicates| (($ $) "\\spad{removeDuplicates(u)} returns a copy of \\spad{u} with all duplicates removed.")) (|select| (($ (|Mapping| (|Boolean|) |#2|) $) "\\spad{select(p,u)} returns a copy of \\spad{u} containing only those elements such \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}. Note: \\axiom{select(\\spad{p},{}\\spad{u}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{u} | \\spad{p}(\\spad{x})]}.")) (|remove| (($ |#2| $) "\\spad{remove(x,u)} returns a copy of \\spad{u} with all elements \\axiom{\\spad{y} = \\spad{x}} removed. Note: \\axiom{remove(\\spad{y},{}\\spad{c}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{c} | \\spad{x} \\spad{~=} \\spad{y}]}.") (($ (|Mapping| (|Boolean|) |#2|) $) "\\spad{remove(p,u)} returns a copy of \\spad{u} removing all elements \\spad{x} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}. Note: \\axiom{remove(\\spad{p},{}\\spad{u}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{u} | not \\spad{p}(\\spad{x})]}.")) (|reduce| ((|#2| (|Mapping| |#2| |#2| |#2|) $ |#2| |#2|) "\\spad{reduce(f,u,x,z)} reduces the binary operation \\spad{f} across \\spad{u},{} stopping when an \"absorbing element\" \\spad{z} is encountered. As for \\axiom{reduce(\\spad{f},{}\\spad{u},{}\\spad{x})},{} \\spad{x} is the identity operation of \\spad{f}. Same as \\axiom{reduce(\\spad{f},{}\\spad{u},{}\\spad{x})} when \\spad{u} contains no element \\spad{z}. Thus the third argument \\spad{x} is returned when \\spad{u} is empty.") ((|#2| (|Mapping| |#2| |#2| |#2|) $ |#2|) "\\spad{reduce(f,u,x)} reduces the binary operation \\spad{f} across \\spad{u},{} where \\spad{x} is the identity operation of \\spad{f}. Same as \\axiom{reduce(\\spad{f},{}\\spad{u})} if \\spad{u} has 2 or more elements. Returns \\axiom{\\spad{f}(\\spad{x},{}\\spad{y})} if \\spad{u} has one element \\spad{y},{} \\spad{x} if \\spad{u} is empty. For example,{} \\axiom{reduce(+,{}\\spad{u},{}0)} returns the sum of the elements of \\spad{u}.") ((|#2| (|Mapping| |#2| |#2| |#2|) $) "\\spad{reduce(f,u)} reduces the binary operation \\spad{f} across \\spad{u}. For example,{} if \\spad{u} is \\axiom{[\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]} then \\axiom{reduce(\\spad{f},{}\\spad{u})} returns \\axiom{\\spad{f}(..\\spad{f}(\\spad{f}(\\spad{x},{}\\spad{y}),{}...),{}\\spad{z})}. Note: if \\spad{u} has one element \\spad{x},{} \\axiom{reduce(\\spad{f},{}\\spad{u})} returns \\spad{x}. Error: if \\spad{u} is empty.")) (|find| (((|Union| |#2| "failed") (|Mapping| (|Boolean|) |#2|) $) "\\spad{find(p,u)} returns the first \\spad{x} in \\spad{u} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true},{} and \"failed\" otherwise.")) (|construct| (($ (|List| |#2|)) "\\axiom{construct(\\spad{x},{}\\spad{y},{}...,{}\\spad{z})} returns the collection of elements \\axiom{\\spad{x},{}\\spad{y},{}...,{}\\spad{z}} ordered as given. Equivalently written as \\axiom{[\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]\\$\\spad{D}},{} where \\spad{D} is the domain. \\spad{D} may be omitted for those of type List."))) 
 NIL 
-((|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasAttribute| |#1| (QUOTE -4464))) 
+((|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasAttribute| |#1| (QUOTE -4465))) 
 (-152 S) 
 ((|constructor| (NIL "A collection is a homogeneous aggregate which can built from list of members. The operation used to build the aggregate is generically named \\spadfun{construct}. However,{} each collection provides its own special function with the same name as the data type,{} except with an initial lower case letter,{} \\spadignore{e.g.} \\spadfun{list} for \\spadtype{List},{} \\spadfun{flexibleArray} for \\spadtype{FlexibleArray},{} and so on.")) (|removeDuplicates| (($ $) "\\spad{removeDuplicates(u)} returns a copy of \\spad{u} with all duplicates removed.")) (|select| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{select(p,u)} returns a copy of \\spad{u} containing only those elements such \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}. Note: \\axiom{select(\\spad{p},{}\\spad{u}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{u} | \\spad{p}(\\spad{x})]}.")) (|remove| (($ |#1| $) "\\spad{remove(x,u)} returns a copy of \\spad{u} with all elements \\axiom{\\spad{y} = \\spad{x}} removed. Note: \\axiom{remove(\\spad{y},{}\\spad{c}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{c} | \\spad{x} \\spad{~=} \\spad{y}]}.") (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{remove(p,u)} returns a copy of \\spad{u} removing all elements \\spad{x} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}. Note: \\axiom{remove(\\spad{p},{}\\spad{u}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{u} | not \\spad{p}(\\spad{x})]}.")) (|reduce| ((|#1| (|Mapping| |#1| |#1| |#1|) $ |#1| |#1|) "\\spad{reduce(f,u,x,z)} reduces the binary operation \\spad{f} across \\spad{u},{} stopping when an \"absorbing element\" \\spad{z} is encountered. As for \\axiom{reduce(\\spad{f},{}\\spad{u},{}\\spad{x})},{} \\spad{x} is the identity operation of \\spad{f}. Same as \\axiom{reduce(\\spad{f},{}\\spad{u},{}\\spad{x})} when \\spad{u} contains no element \\spad{z}. Thus the third argument \\spad{x} is returned when \\spad{u} is empty.") ((|#1| (|Mapping| |#1| |#1| |#1|) $ |#1|) "\\spad{reduce(f,u,x)} reduces the binary operation \\spad{f} across \\spad{u},{} where \\spad{x} is the identity operation of \\spad{f}. Same as \\axiom{reduce(\\spad{f},{}\\spad{u})} if \\spad{u} has 2 or more elements. Returns \\axiom{\\spad{f}(\\spad{x},{}\\spad{y})} if \\spad{u} has one element \\spad{y},{} \\spad{x} if \\spad{u} is empty. For example,{} \\axiom{reduce(+,{}\\spad{u},{}0)} returns the sum of the elements of \\spad{u}.") ((|#1| (|Mapping| |#1| |#1| |#1|) $) "\\spad{reduce(f,u)} reduces the binary operation \\spad{f} across \\spad{u}. For example,{} if \\spad{u} is \\axiom{[\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]} then \\axiom{reduce(\\spad{f},{}\\spad{u})} returns \\axiom{\\spad{f}(..\\spad{f}(\\spad{f}(\\spad{x},{}\\spad{y}),{}...),{}\\spad{z})}. Note: if \\spad{u} has one element \\spad{x},{} \\axiom{reduce(\\spad{f},{}\\spad{u})} returns \\spad{x}. Error: if \\spad{u} is empty.")) (|find| (((|Union| |#1| "failed") (|Mapping| (|Boolean|) |#1|) $) "\\spad{find(p,u)} returns the first \\spad{x} in \\spad{u} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true},{} and \"failed\" otherwise.")) (|construct| (($ (|List| |#1|)) "\\axiom{construct(\\spad{x},{}\\spad{y},{}...,{}\\spad{z})} returns the collection of elements \\axiom{\\spad{x},{}\\spad{y},{}...,{}\\spad{z}} ordered as given. Equivalently written as \\axiom{[\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]\\$\\spad{D}},{} where \\spad{D} is the domain. \\spad{D} may be omitted for those of type List."))) 
 NIL 
 NIL 
 (-153 |n| K Q) 
 ((|constructor| (NIL "CliffordAlgebra(\\spad{n},{} \\spad{K},{} \\spad{Q}) defines a vector space of dimension \\spad{2**n} over \\spad{K},{} given a quadratic form \\spad{Q} on \\spad{K**n}. \\blankline If \\spad{e[i]},{} \\spad{1<=i<=n} is a basis for \\spad{K**n} then \\indented{3}{1,{} \\spad{e[i]} (\\spad{1<=i<=n}),{} \\spad{e[i1]*e[i2]}} (\\spad{1<=i1<i2<=n}),{}...,{}\\spad{e[1]*e[2]*..*e[n]} is a basis for the Clifford Algebra. \\blankline The algebra is defined by the relations \\indented{3}{\\spad{e[i]*e[j] = -e[j]*e[i]}\\space{2}(\\spad{i \\~~= j}),{}} \\indented{3}{\\spad{e[i]*e[i] = Q(e[i])}} \\blankline Examples of Clifford Algebras are: gaussians,{} quaternions,{} exterior algebras and spin algebras.")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} computes the multiplicative inverse of \\spad{x} or \"failed\" if \\spad{x} is not invertible.")) (|coefficient| ((|#2| $ (|List| (|PositiveInteger|))) "\\spad{coefficient(x,[i1,i2,...,iN])} extracts the coefficient of \\spad{e(i1)*e(i2)*...*e(iN)} in \\spad{x}.")) (|monomial| (($ |#2| (|List| (|PositiveInteger|))) "\\spad{monomial(c,[i1,i2,...,iN])} produces the value given by \\spad{c*e(i1)*e(i2)*...*e(iN)}.")) (|e| (($ (|PositiveInteger|)) "\\spad{e(n)} produces the appropriate unit element."))) 
-((-4459 . T) (-4458 . T) (-4461 . T)) 
+((-4460 . T) (-4459 . T) (-4462 . T)) 
 NIL 
 (-154) 
 ((|constructor| (NIL "\\indented{1}{The purpose of this package is to provide reasonable plots of} functions with singularities.")) (|clipWithRanges| (((|Record| (|:| |brans| (|List| (|List| (|Point| (|DoubleFloat|))))) (|:| |xValues| (|Segment| (|DoubleFloat|))) (|:| |yValues| (|Segment| (|DoubleFloat|)))) (|List| (|List| (|Point| (|DoubleFloat|)))) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{clipWithRanges(pointLists,xMin,xMax,yMin,yMax)} performs clipping on a list of lists of points,{} \\spad{pointLists}. Clipping is done within the specified ranges of \\spad{xMin},{} \\spad{xMax} and \\spad{yMin},{} \\spad{yMax}. This function is used internally by the \\fakeAxiomFun{iClipParametric} subroutine in this package.")) (|clipParametric| (((|Record| (|:| |brans| (|List| (|List| (|Point| (|DoubleFloat|))))) (|:| |xValues| (|Segment| (|DoubleFloat|))) (|:| |yValues| (|Segment| (|DoubleFloat|)))) (|Plot|) (|Fraction| (|Integer|)) (|Fraction| (|Integer|))) "\\spad{clipParametric(p,frac,sc)} performs two-dimensional clipping on a plot,{} \\spad{p},{} from the domain \\spadtype{Plot} for the parametric curve \\spad{x = f(t)},{} \\spad{y = g(t)}; the fraction parameter is specified by \\spad{frac} and the scale parameter is specified by \\spad{sc} for use in the \\fakeAxiomFun{iClipParametric} subroutine,{} which is called by this function.") (((|Record| (|:| |brans| (|List| (|List| (|Point| (|DoubleFloat|))))) (|:| |xValues| (|Segment| (|DoubleFloat|))) (|:| |yValues| (|Segment| (|DoubleFloat|)))) (|Plot|)) "\\spad{clipParametric(p)} performs two-dimensional clipping on a plot,{} \\spad{p},{} from the domain \\spadtype{Plot} for the parametric curve \\spad{x = f(t)},{} \\spad{y = g(t)}; the default parameters \\spad{1/2} for the fraction and \\spad{5/1} for the scale are used in the \\fakeAxiomFun{iClipParametric} subroutine,{} which is called by this function.")) (|clip| (((|Record| (|:| |brans| (|List| (|List| (|Point| (|DoubleFloat|))))) (|:| |xValues| (|Segment| (|DoubleFloat|))) (|:| |yValues| (|Segment| (|DoubleFloat|)))) (|List| (|List| (|Point| (|DoubleFloat|))))) "\\spad{clip(ll)} performs two-dimensional clipping on a list of lists of points,{} \\spad{ll}; the default parameters \\spad{1/2} for the fraction and \\spad{5/1} for the scale are used in the \\fakeAxiomFun{iClipParametric} subroutine,{} which is called by this function.") (((|Record| (|:| |brans| (|List| (|List| (|Point| (|DoubleFloat|))))) (|:| |xValues| (|Segment| (|DoubleFloat|))) (|:| |yValues| (|Segment| (|DoubleFloat|)))) (|List| (|Point| (|DoubleFloat|)))) "\\spad{clip(l)} performs two-dimensional clipping on a curve \\spad{l},{} which is a list of points; the default parameters \\spad{1/2} for the fraction and \\spad{5/1} for the scale are used in the \\fakeAxiomFun{iClipParametric} subroutine,{} which is called by this function.") (((|Record| (|:| |brans| (|List| (|List| (|Point| (|DoubleFloat|))))) (|:| |xValues| (|Segment| (|DoubleFloat|))) (|:| |yValues| (|Segment| (|DoubleFloat|)))) (|Plot|) (|Fraction| (|Integer|)) (|Fraction| (|Integer|))) "\\spad{clip(p,frac,sc)} performs two-dimensional clipping on a plot,{} \\spad{p},{} from the domain \\spadtype{Plot} for the graph of one variable \\spad{y = f(x)}; the fraction parameter is specified by \\spad{frac} and the scale parameter is specified by \\spad{sc} for use in the \\spadfun{clip} function.") (((|Record| (|:| |brans| (|List| (|List| (|Point| (|DoubleFloat|))))) (|:| |xValues| (|Segment| (|DoubleFloat|))) (|:| |yValues| (|Segment| (|DoubleFloat|)))) (|Plot|)) "\\spad{clip(p)} performs two-dimensional clipping on a plot,{} \\spad{p},{} from the domain \\spadtype{Plot} for the graph of one variable,{} \\spad{y = f(x)}; the default parameters \\spad{1/4} for the fraction and \\spad{5/1} for the scale are used in the \\spadfun{clip} function."))) 
@@ -564,7 +564,7 @@ NIL
 ((|constructor| (NIL "Color() specifies a domain of 27 colors provided in the \\Language{} system (the colors mix additively).")) (|color| (($ (|Integer|)) "\\spad{color(i)} returns a color of the indicated hue \\spad{i}.")) (|numberOfHues| (((|PositiveInteger|)) "\\spad{numberOfHues()} returns the number of total hues,{} set in totalHues.")) (|hue| (((|Integer|) $) "\\spad{hue(c)} returns the hue index of the indicated color \\spad{c}.")) (|blue| (($) "\\spad{blue()} returns the position of the blue hue from total hues.")) (|green| (($) "\\spad{green()} returns the position of the green hue from total hues.")) (|yellow| (($) "\\spad{yellow()} returns the position of the yellow hue from total hues.")) (|red| (($) "\\spad{red()} returns the position of the red hue from total hues.")) (+ (($ $ $) "\\spad{c1 + c2} additively mixes the two colors \\spad{c1} and \\spad{c2}.")) (* (($ (|DoubleFloat|) $) "\\spad{s * c},{} returns the color \\spad{c},{} whose weighted shade has been scaled by \\spad{s}.") (($ (|PositiveInteger|) $) "\\spad{s * c},{} returns the color \\spad{c},{} whose weighted shade has been scaled by \\spad{s}."))) 
 NIL 
 NIL 
-(-159 R -1959) 
+(-159 R -1962) 
 ((|constructor| (NIL "Provides combinatorial functions over an integral domain.")) (|ipow| ((|#2| (|List| |#2|)) "\\spad{ipow(l)} should be local but conditional.")) (|iidprod| ((|#2| (|List| |#2|)) "\\spad{iidprod(l)} should be local but conditional.")) (|iidsum| ((|#2| (|List| |#2|)) "\\spad{iidsum(l)} should be local but conditional.")) (|iipow| ((|#2| (|List| |#2|)) "\\spad{iipow(l)} should be local but conditional.")) (|iiperm| ((|#2| (|List| |#2|)) "\\spad{iiperm(l)} should be local but conditional.")) (|iibinom| ((|#2| (|List| |#2|)) "\\spad{iibinom(l)} should be local but conditional.")) (|iifact| ((|#2| |#2|) "\\spad{iifact(x)} should be local but conditional.")) (|product| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{product(f(n), n = a..b)} returns \\spad{f}(a) * ... * \\spad{f}(\\spad{b}) as a formal product.") ((|#2| |#2| (|Symbol|)) "\\spad{product(f(n), n)} returns the formal product \\spad{P}(\\spad{n}) which verifies \\spad{P}(\\spad{n+1})\\spad{/P}(\\spad{n}) = \\spad{f}(\\spad{n}).")) (|summation| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{summation(f(n), n = a..b)} returns \\spad{f}(a) + ... + \\spad{f}(\\spad{b}) as a formal sum.") ((|#2| |#2| (|Symbol|)) "\\spad{summation(f(n), n)} returns the formal sum \\spad{S}(\\spad{n}) which verifies \\spad{S}(\\spad{n+1}) - \\spad{S}(\\spad{n}) = \\spad{f}(\\spad{n}).")) (|factorials| ((|#2| |#2| (|Symbol|)) "\\spad{factorials(f, x)} rewrites the permutations and binomials in \\spad{f} involving \\spad{x} in terms of factorials.") ((|#2| |#2|) "\\spad{factorials(f)} rewrites the permutations and binomials in \\spad{f} in terms of factorials.")) (|factorial| ((|#2| |#2|) "\\spad{factorial(n)} returns the factorial of \\spad{n},{} \\spadignore{i.e.} \\spad{n!}.")) (|permutation| ((|#2| |#2| |#2|) "\\spad{permutation(n, r)} returns the number of permutations of \\spad{n} objects taken \\spad{r} at a time,{} \\spadignore{i.e.} \\spad{n!/}(\\spad{n}-\\spad{r})!.")) (|binomial| ((|#2| |#2| |#2|) "\\spad{binomial(n, r)} returns the number of subsets of \\spad{r} objects taken among \\spad{n} objects,{} \\spadignore{i.e.} \\spad{n!/}(\\spad{r!} * (\\spad{n}-\\spad{r})!).")) (** ((|#2| |#2| |#2|) "\\spad{a ** b} is the formal exponential a**b.")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\spad{F}; error if \\spad{op} is not a combinatorial operator.")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} is \\spad{true} if \\spad{op} is a combinatorial operator."))) 
 NIL 
 NIL 
@@ -595,10 +595,10 @@ NIL
 (-166 S R) 
 ((|constructor| (NIL "This category represents the extension of a ring by a square root of \\spad{-1}.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a rational number,{} or \"failed\" if \\spad{x} is not a rational number.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a rational number. Error: if \\spad{x} is not a rational number.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a rational number.")) (|polarCoordinates| (((|Record| (|:| |r| |#2|) (|:| |phi| |#2|)) $) "\\spad{polarCoordinates(x)} returns (\\spad{r},{} phi) such that \\spad{x} = \\spad{r} * exp(\\%\\spad{i} * phi).")) (|argument| ((|#2| $) "\\spad{argument(x)} returns the angle made by (0,{}1) and (0,{}\\spad{x}).")) (|abs| (($ $) "\\spad{abs(x)} returns the absolute value of \\spad{x} = sqrt(norm(\\spad{x})).")) (|exquo| (((|Union| $ "failed") $ |#2|) "\\spad{exquo(x, r)} returns the exact quotient of \\spad{x} by \\spad{r},{} or \"failed\" if \\spad{r} does not divide \\spad{x} exactly.")) (|norm| ((|#2| $) "\\spad{norm(x)} returns \\spad{x} * conjugate(\\spad{x})")) (|real| ((|#2| $) "\\spad{real(x)} returns real part of \\spad{x}.")) (|imag| ((|#2| $) "\\spad{imag(x)} returns imaginary part of \\spad{x}.")) (|conjugate| (($ $) "\\spad{conjugate(x + \\%i y)} returns \\spad{x} - \\%\\spad{i} \\spad{y}.")) (|imaginary| (($) "\\spad{imaginary()} = sqrt(\\spad{-1}) = \\%\\spad{i}.")) (|complex| (($ |#2| |#2|) "\\spad{complex(x,y)} constructs \\spad{x} + \\%i*y.") ((|attribute|) "indicates that \\% has sqrt(\\spad{-1})"))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-928))) (|HasCategory| |#2| (QUOTE (-557))) (|HasCategory| |#2| (QUOTE (-1023))) (|HasCategory| |#2| (QUOTE (-1223))) (|HasCategory| |#2| (QUOTE (-1081))) (|HasCategory| |#2| (QUOTE (-1043))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-374))) (|HasAttribute| |#2| (QUOTE -4460)) (|HasAttribute| |#2| (QUOTE -4463)) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-568)))) 
+((|HasCategory| |#2| (QUOTE (-928))) (|HasCategory| |#2| (QUOTE (-557))) (|HasCategory| |#2| (QUOTE (-1023))) (|HasCategory| |#2| (QUOTE (-1223))) (|HasCategory| |#2| (QUOTE (-1081))) (|HasCategory| |#2| (QUOTE (-1043))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-374))) (|HasAttribute| |#2| (QUOTE -4461)) (|HasAttribute| |#2| (QUOTE -4464)) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-568)))) 
 (-167 R) 
 ((|constructor| (NIL "This category represents the extension of a ring by a square root of \\spad{-1}.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a rational number,{} or \"failed\" if \\spad{x} is not a rational number.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a rational number. Error: if \\spad{x} is not a rational number.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a rational number.")) (|polarCoordinates| (((|Record| (|:| |r| |#1|) (|:| |phi| |#1|)) $) "\\spad{polarCoordinates(x)} returns (\\spad{r},{} phi) such that \\spad{x} = \\spad{r} * exp(\\%\\spad{i} * phi).")) (|argument| ((|#1| $) "\\spad{argument(x)} returns the angle made by (0,{}1) and (0,{}\\spad{x}).")) (|abs| (($ $) "\\spad{abs(x)} returns the absolute value of \\spad{x} = sqrt(norm(\\spad{x})).")) (|exquo| (((|Union| $ "failed") $ |#1|) "\\spad{exquo(x, r)} returns the exact quotient of \\spad{x} by \\spad{r},{} or \"failed\" if \\spad{r} does not divide \\spad{x} exactly.")) (|norm| ((|#1| $) "\\spad{norm(x)} returns \\spad{x} * conjugate(\\spad{x})")) (|real| ((|#1| $) "\\spad{real(x)} returns real part of \\spad{x}.")) (|imag| ((|#1| $) "\\spad{imag(x)} returns imaginary part of \\spad{x}.")) (|conjugate| (($ $) "\\spad{conjugate(x + \\%i y)} returns \\spad{x} - \\%\\spad{i} \\spad{y}.")) (|imaginary| (($) "\\spad{imaginary()} = sqrt(\\spad{-1}) = \\%\\spad{i}.")) (|complex| (($ |#1| |#1|) "\\spad{complex(x,y)} constructs \\spad{x} + \\%i*y.") ((|attribute|) "indicates that \\% has sqrt(\\spad{-1})"))) 
-((-4457 -2758 (|has| |#1| (-568)) (-12 (|has| |#1| (-317)) (|has| |#1| (-928)))) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4460 |has| |#1| (-6 -4460)) (-4463 |has| |#1| (-6 -4463)) (-4177 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4458 -2760 (|has| |#1| (-568)) (-12 (|has| |#1| (-317)) (|has| |#1| (-928)))) (-4463 |has| |#1| (-374)) (-4457 |has| |#1| (-374)) (-4461 |has| |#1| (-6 -4461)) (-4464 |has| |#1| (-6 -4464)) (-4178 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-168 RR PR) 
 ((|constructor| (NIL "\\indented{1}{Author:} Date Created: Date Last Updated: Basic Functions: Related Constructors: Complex,{} UnivariatePolynomial Also See: AMS Classifications: Keywords: complex,{} polynomial factorization,{} factor References:")) (|factor| (((|Factored| |#2|) |#2|) "\\spad{factor(p)} factorizes the polynomial \\spad{p} with complex coefficients."))) 
@@ -614,8 +614,8 @@ NIL
 NIL 
 (-171 R) 
 ((|constructor| (NIL "\\spadtype {Complex(R)} creates the domain of elements of the form \\spad{a + b * i} where \\spad{a} and \\spad{b} come from the ring \\spad{R},{} and \\spad{i} is a new element such that \\spad{i**2 = -1}."))) 
-((-4457 -2758 (|has| |#1| (-568)) (-12 (|has| |#1| (-317)) (|has| |#1| (-928)))) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4460 |has| |#1| (-6 -4460)) (-4463 |has| |#1| (-6 -4463)) (-4177 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-360))) (-2758 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-2758 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-360)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (-2758 (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-2758 (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-928))))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-928)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-928))))) (-2758 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (QUOTE (-1023))) (|HasCategory| |#1| (QUOTE (-1223)))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (QUOTE (-1043))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2758 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-568)))) (-2758 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-840))) (|HasCategory| |#1| (QUOTE (-1081))) (-12 (|HasCategory| |#1| (QUOTE (-1081))) (|HasCategory| |#1| (QUOTE (-1223)))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-374)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-568)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-237)))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-238))) (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasAttribute| |#1| (QUOTE -4460)) (|HasAttribute| |#1| (QUOTE -4463)) (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197))))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-360))))) 
+((-4458 -2760 (|has| |#1| (-568)) (-12 (|has| |#1| (-317)) (|has| |#1| (-928)))) (-4463 |has| |#1| (-374)) (-4457 |has| |#1| (-374)) (-4461 |has| |#1| (-6 -4461)) (-4464 |has| |#1| (-6 -4464)) (-4178 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-360))) (-2760 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-2760 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-360)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (-2760 (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-2760 (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-928))))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-928)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-928))))) (-2760 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (QUOTE (-1023))) (|HasCategory| |#1| (QUOTE (-1223)))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (QUOTE (-1043))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2760 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-568)))) (-2760 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-840))) (|HasCategory| |#1| (QUOTE (-1081))) (-12 (|HasCategory| |#1| (QUOTE (-1081))) (|HasCategory| |#1| (QUOTE (-1223)))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-374)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-568)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-237)))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-238))) (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasAttribute| |#1| (QUOTE -4461)) (|HasAttribute| |#1| (QUOTE -4464)) (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197))))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-360))))) 
 (-172 R S CS) 
 ((|constructor| (NIL "This package supports converting complex expressions to patterns")) (|convert| (((|Pattern| |#1|) |#3|) "\\spad{convert(cs)} converts the complex expression \\spad{cs} to a pattern"))) 
 NIL 
@@ -626,7 +626,7 @@ NIL
 NIL 
 (-174) 
 ((|constructor| (NIL "The category of commutative rings with unity,{} \\spadignore{i.e.} rings where \\spadop{*} is commutative,{} and which have a multiplicative identity. element.")) (|commutative| ((|attribute| "*") "multiplication is commutative."))) 
-(((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+(((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-175) 
 ((|constructor| (NIL "This category is the root of the I/O conduits.")) (|close!| (($ $) "\\spad{close!(c)} closes the conduit \\spad{c},{} changing its state to one that is invalid for future read or write operations."))) 
@@ -634,7 +634,7 @@ NIL
 NIL 
 (-176 R) 
 ((|constructor| (NIL "\\spadtype{ContinuedFraction} implements general \\indented{1}{continued fractions.\\space{2}This version is not restricted to simple,{}} \\indented{1}{finite fractions and uses the \\spadtype{Stream} as a} \\indented{1}{representation.\\space{2}The arithmetic functions assume that the} \\indented{1}{approximants alternate below/above the convergence point.} \\indented{1}{This is enforced by ensuring the partial numerators and partial} \\indented{1}{denominators are greater than 0 in the Euclidean domain view of \\spad{R}} \\indented{1}{(\\spadignore{i.e.} \\spad{sizeLess?(0, x)}).}")) (|complete| (($ $) "\\spad{complete(x)} causes all entries in \\spadvar{\\spad{x}} to be computed. Normally entries are only computed as needed. If \\spadvar{\\spad{x}} is an infinite continued fraction,{} a user-initiated interrupt is necessary to stop the computation.")) (|extend| (($ $ (|Integer|)) "\\spad{extend(x,n)} causes the first \\spadvar{\\spad{n}} entries in the continued fraction \\spadvar{\\spad{x}} to be computed. Normally entries are only computed as needed.")) (|denominators| (((|Stream| |#1|) $) "\\spad{denominators(x)} returns the stream of denominators of the approximants of the continued fraction \\spadvar{\\spad{x}}. If the continued fraction is finite,{} then the stream will be finite.")) (|numerators| (((|Stream| |#1|) $) "\\spad{numerators(x)} returns the stream of numerators of the approximants of the continued fraction \\spadvar{\\spad{x}}. If the continued fraction is finite,{} then the stream will be finite.")) (|convergents| (((|Stream| (|Fraction| |#1|)) $) "\\spad{convergents(x)} returns the stream of the convergents of the continued fraction \\spadvar{\\spad{x}}. If the continued fraction is finite,{} then the stream will be finite.")) (|approximants| (((|Stream| (|Fraction| |#1|)) $) "\\spad{approximants(x)} returns the stream of approximants of the continued fraction \\spadvar{\\spad{x}}. If the continued fraction is finite,{} then the stream will be infinite and periodic with period 1.")) (|reducedForm| (($ $) "\\spad{reducedForm(x)} puts the continued fraction \\spadvar{\\spad{x}} in reduced form,{} \\spadignore{i.e.} the function returns an equivalent continued fraction of the form \\spad{continuedFraction(b0,[1,1,1,...],[b1,b2,b3,...])}.")) (|wholePart| ((|#1| $) "\\spad{wholePart(x)} extracts the whole part of \\spadvar{\\spad{x}}. That is,{} if \\spad{x = continuedFraction(b0, [a1,a2,a3,...], [b1,b2,b3,...])},{} then \\spad{wholePart(x) = b0}.")) (|partialQuotients| (((|Stream| |#1|) $) "\\spad{partialQuotients(x)} extracts the partial quotients in \\spadvar{\\spad{x}}. That is,{} if \\spad{x = continuedFraction(b0, [a1,a2,a3,...], [b1,b2,b3,...])},{} then \\spad{partialQuotients(x) = [b0,b1,b2,b3,...]}.")) (|partialDenominators| (((|Stream| |#1|) $) "\\spad{partialDenominators(x)} extracts the denominators in \\spadvar{\\spad{x}}. That is,{} if \\spad{x = continuedFraction(b0, [a1,a2,a3,...], [b1,b2,b3,...])},{} then \\spad{partialDenominators(x) = [b1,b2,b3,...]}.")) (|partialNumerators| (((|Stream| |#1|) $) "\\spad{partialNumerators(x)} extracts the numerators in \\spadvar{\\spad{x}}. That is,{} if \\spad{x = continuedFraction(b0, [a1,a2,a3,...], [b1,b2,b3,...])},{} then \\spad{partialNumerators(x) = [a1,a2,a3,...]}.")) (|reducedContinuedFraction| (($ |#1| (|Stream| |#1|)) "\\spad{reducedContinuedFraction(b0,b)} constructs a continued fraction in the following way: if \\spad{b = [b1,b2,...]} then the result is the continued fraction \\spad{b0 + 1/(b1 + 1/(b2 + ...))}. That is,{} the result is the same as \\spad{continuedFraction(b0,[1,1,1,...],[b1,b2,b3,...])}.")) (|continuedFraction| (($ |#1| (|Stream| |#1|) (|Stream| |#1|)) "\\spad{continuedFraction(b0,a,b)} constructs a continued fraction in the following way: if \\spad{a = [a1,a2,...]} and \\spad{b = [b1,b2,...]} then the result is the continued fraction \\spad{b0 + a1/(b1 + a2/(b2 + ...))}.") (($ (|Fraction| |#1|)) "\\spad{continuedFraction(r)} converts the fraction \\spadvar{\\spad{r}} with components of type \\spad{R} to a continued fraction over \\spad{R}."))) 
-(((-4466 "*") . T) (-4457 . T) (-4462 . T) (-4456 . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+(((-4467 "*") . T) (-4458 . T) (-4463 . T) (-4457 . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-177) 
 ((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 18,{} 2008. A `Contour' a list of bindings making up a `virtual scope'.")) (|findBinding| (((|Maybe| (|Binding|)) (|Identifier|) $) "\\spad{findBinding(c,n)} returns the first binding associated with \\spad{`n'}. Otherwise `nothing.")) (|push| (($ (|Binding|) $) "\\spad{push(c,b)} augments the contour with binding \\spad{`b'}.")) (|bindings| (((|List| (|Binding|)) $) "\\spad{bindings(c)} returns the list of bindings in countour \\spad{c}."))) 
@@ -688,7 +688,7 @@ NIL
 ((|constructor| (NIL "This domain provides implementations for constructors.")) (|findConstructor| (((|Maybe| $) (|Identifier|)) "\\spad{findConstructor(s)} attempts to find a constructor named \\spad{s}. If successful,{} returns that constructor; otherwise,{} returns \\spad{nothing}."))) 
 NIL 
 NIL 
-(-190 R -1959) 
+(-190 R -1962) 
 ((|constructor| (NIL "\\spadtype{ComplexTrigonometricManipulations} provides function that compute the real and imaginary parts of complex functions.")) (|complexForm| (((|Complex| (|Expression| |#1|)) |#2|) "\\spad{complexForm(f)} returns \\spad{[real f, imag f]}.")) (|trigs| ((|#2| |#2|) "\\spad{trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (|real?| (((|Boolean|) |#2|) "\\spad{real?(f)} returns \\spad{true} if \\spad{f = real f}.")) (|imag| (((|Expression| |#1|) |#2|) "\\spad{imag(f)} returns the imaginary part of \\spad{f} where \\spad{f} is a complex function.")) (|real| (((|Expression| |#1|) |#2|) "\\spad{real(f)} returns the real part of \\spad{f} where \\spad{f} is a complex function.")) (|complexElementary| ((|#2| |#2| (|Symbol|)) "\\spad{complexElementary(f, x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.") ((|#2| |#2|) "\\spad{complexElementary(f)} rewrites \\spad{f} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.")) (|complexNormalize| ((|#2| |#2| (|Symbol|)) "\\spad{complexNormalize(f, x)} rewrites \\spad{f} using the least possible number of complex independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{complexNormalize(f)} rewrites \\spad{f} using the least possible number of complex independent kernels."))) 
 NIL 
 NIL 
@@ -796,23 +796,23 @@ NIL
 ((|constructor| (NIL "\\indented{1}{This domain implements a simple view of a database whose fields are} indexed by symbols")) (- (($ $ $) "\\spad{db1-db2} returns the difference of databases \\spad{db1} and \\spad{db2} \\spadignore{i.e.} consisting of elements in \\spad{db1} but not in \\spad{db2}")) (+ (($ $ $) "\\spad{db1+db2} returns the merge of databases \\spad{db1} and \\spad{db2}")) (|fullDisplay| (((|Void|) $ (|PositiveInteger|) (|PositiveInteger|)) "\\spad{fullDisplay(db,start,end )} prints full details of entries in the range \\axiom{\\spad{start}..end} in \\axiom{\\spad{db}}.") (((|Void|) $) "\\spad{fullDisplay(db)} prints full details of each entry in \\axiom{\\spad{db}}.") (((|Void|) $) "\\spad{fullDisplay(x)} displays \\spad{x} in detail")) (|display| (((|Void|) $) "\\spad{display(db)} prints a summary line for each entry in \\axiom{\\spad{db}}.") (((|Void|) $) "\\spad{display(x)} displays \\spad{x} in some form")) (|elt| (((|DataList| (|String|)) $ (|Symbol|)) "\\spad{elt(db,s)} returns the \\axiom{\\spad{s}} field of each element of \\axiom{\\spad{db}}.") (($ $ (|QueryEquation|)) "\\spad{elt(db,q)} returns all elements of \\axiom{\\spad{db}} which satisfy \\axiom{\\spad{q}}.") (((|String|) $ (|Symbol|)) "\\spad{elt(x,s)} returns an element of \\spad{x} indexed by \\spad{s}"))) 
 NIL 
 NIL 
-(-217 -1959 UP UPUP R) 
+(-217 -1962 UP UPUP R) 
 ((|constructor| (NIL "This package provides functions for computing the residues of a function on an algebraic curve.")) (|doubleResultant| ((|#2| |#4| (|Mapping| |#2| |#2|)) "\\spad{doubleResultant(f, ')} returns \\spad{p}(\\spad{x}) whose roots are rational multiples of the residues of \\spad{f} at all its finite poles. Argument ' is the derivation to use."))) 
 NIL 
 NIL 
-(-218 -1959 FP) 
+(-218 -1962 FP) 
 ((|constructor| (NIL "Package for the factorization of a univariate polynomial with coefficients in a finite field. The algorithm used is the \"distinct degree\" algorithm of Cantor-Zassenhaus,{} modified to use trace instead of the norm and a table for computing Frobenius as suggested by Naudin and Quitte .")) (|irreducible?| (((|Boolean|) |#2|) "\\spad{irreducible?(p)} tests whether the polynomial \\spad{p} is irreducible.")) (|tracePowMod| ((|#2| |#2| (|NonNegativeInteger|) |#2|) "\\spad{tracePowMod(u,k,v)} produces the sum of \\spad{u**(q**i)} for \\spad{i} running and \\spad{q=} size \\spad{F}")) (|trace2PowMod| ((|#2| |#2| (|NonNegativeInteger|) |#2|) "\\spad{trace2PowMod(u,k,v)} produces the sum of \\spad{u**(2**i)} for \\spad{i} running from 1 to \\spad{k} all computed modulo the polynomial \\spad{v}.")) (|exptMod| ((|#2| |#2| (|NonNegativeInteger|) |#2|) "\\spad{exptMod(u,k,v)} raises the polynomial \\spad{u} to the \\spad{k}th power modulo the polynomial \\spad{v}.")) (|separateFactors| (((|List| |#2|) (|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |prod| |#2|)))) "\\spad{separateFactors(lfact)} takes the list produced by \\spadfunFrom{separateDegrees}{DistinctDegreeFactorization} and produces the complete list of factors.")) (|separateDegrees| (((|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |prod| |#2|))) |#2|) "\\spad{separateDegrees(p)} splits the square free polynomial \\spad{p} into factors each of which is a product of irreducibles of the same degree.")) (|distdfact| (((|Record| (|:| |cont| |#1|) (|:| |factors| (|List| (|Record| (|:| |irr| |#2|) (|:| |pow| (|Integer|)))))) |#2| (|Boolean|)) "\\spad{distdfact(p,sqfrflag)} produces the complete factorization of the polynomial \\spad{p} returning an internal data structure. If argument \\spad{sqfrflag} is \\spad{true},{} the polynomial is assumed square free.")) (|factorSquareFree| (((|Factored| |#2|) |#2|) "\\spad{factorSquareFree(p)} produces the complete factorization of the square free polynomial \\spad{p}.")) (|factor| (((|Factored| |#2|) |#2|) "\\spad{factor(p)} produces the complete factorization of the polynomial \\spad{p}."))) 
 NIL 
 NIL 
 (-219) 
 ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating decimal expansions.")) (|decimal| (($ (|Fraction| (|Integer|))) "\\spad{decimal(r)} converts a rational number to a decimal expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(d)} returns the fractional part of a decimal expansion."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| (-576) (QUOTE (-928))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1043))) (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861))) (-2758 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861)))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1173))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -319) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -296) (QUOTE (-576)) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-317))) (|HasCategory| (-576) (QUOTE (-557))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (|HasCategory| (-576) (QUOTE (-146))))) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| (-576) (QUOTE (-928))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1043))) (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861))) (-2760 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861)))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1173))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -319) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -296) (QUOTE (-576)) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-317))) (|HasCategory| (-576) (QUOTE (-557))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (|HasCategory| (-576) (QUOTE (-146))))) 
 (-220) 
 ((|constructor| (NIL "This domain represents the syntax of a definition.")) (|body| (((|SpadAst|) $) "\\spad{body(d)} returns the right hand side of the definition \\spad{`d'}.")) (|signature| (((|Signature|) $) "\\spad{signature(d)} returns the signature of the operation being defined. Note that this list may be partial in that it contains only the types actually specified in the definition.")) (|head| (((|HeadAst|) $) "\\spad{head(d)} returns the head of the definition \\spad{`d'}. This is a list of identifiers starting with the name of the operation followed by the name of the parameters,{} if any."))) 
 NIL 
 NIL 
-(-221 R -1959) 
+(-221 R -1962) 
 ((|constructor| (NIL "\\spadtype{ElementaryFunctionDefiniteIntegration} provides functions to compute definite integrals of elementary functions.")) (|innerint| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{innerint(f, x, a, b, ignore?)} should be local but conditional")) (|integrate| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|)) (|String|)) "\\spad{integrate(f, x = a..b, \"noPole\")} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. If it is not possible to check whether \\spad{f} has a pole for \\spad{x} between a and \\spad{b} (because of parameters),{} then this function will assume that \\spad{f} has no such pole. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b} or if the last argument is not \"noPole\".") (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|))) "\\spad{integrate(f, x = a..b)} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b}."))) 
 NIL 
 NIL 
@@ -826,19 +826,19 @@ NIL
 NIL 
 (-224 S) 
 ((|constructor| (NIL "Linked list implementation of a Dequeue")) (|dequeue| (($ (|List| |#1|)) "\\spad{dequeue([x,y,...,z])} creates a dequeue with first (top or front) element \\spad{x},{} second element \\spad{y},{}...,{}and last (bottom or back) element \\spad{z}."))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
 (-225 |CoefRing| |listIndVar|) 
 ((|constructor| (NIL "The deRham complex of Euclidean space,{} that is,{} the class of differential forms of arbitary degree over a coefficient ring. See Flanders,{} Harley,{} Differential Forms,{} With Applications to the Physical Sciences,{} New York,{} Academic Press,{} 1963.")) (|exteriorDifferential| (($ $) "\\spad{exteriorDifferential(df)} returns the exterior derivative (gradient,{} curl,{} divergence,{} ...) of the differential form \\spad{df}.")) (|totalDifferential| (($ (|Expression| |#1|)) "\\spad{totalDifferential(x)} returns the total differential (gradient) form for element \\spad{x}.")) (|map| (($ (|Mapping| (|Expression| |#1|) (|Expression| |#1|)) $) "\\spad{map(f,df)} replaces each coefficient \\spad{x} of differential form \\spad{df} by \\spad{f(x)}.")) (|degree| (((|Integer|) $) "\\spad{degree(df)} returns the homogeneous degree of differential form \\spad{df}.")) (|retractable?| (((|Boolean|) $) "\\spad{retractable?(df)} tests if differential form \\spad{df} is a 0-form,{} \\spadignore{i.e.} if degree(\\spad{df}) = 0.")) (|homogeneous?| (((|Boolean|) $) "\\spad{homogeneous?(df)} tests if all of the terms of differential form \\spad{df} have the same degree.")) (|generator| (($ (|NonNegativeInteger|)) "\\spad{generator(n)} returns the \\spad{n}th basis term for a differential form.")) (|coefficient| (((|Expression| |#1|) $ $) "\\spad{coefficient(df,u)},{} where \\spad{df} is a differential form,{} returns the coefficient of \\spad{df} containing the basis term \\spad{u} if such a term exists,{} and 0 otherwise.")) (|reductum| (($ $) "\\spad{reductum(df)},{} where \\spad{df} is a differential form,{} returns \\spad{df} minus the leading term of \\spad{df} if \\spad{df} has two or more terms,{} and 0 otherwise.")) (|leadingBasisTerm| (($ $) "\\spad{leadingBasisTerm(df)} returns the leading basis term of differential form \\spad{df}.")) (|leadingCoefficient| (((|Expression| |#1|) $) "\\spad{leadingCoefficient(df)} returns the leading coefficient of differential form \\spad{df}."))) 
-((-4461 . T)) 
+((-4462 . T)) 
 NIL 
-(-226 R -1959) 
+(-226 R -1962) 
 ((|constructor| (NIL "\\spadtype{DefiniteIntegrationTools} provides common tools used by the definite integration of both rational and elementary functions.")) (|checkForZero| (((|Union| (|Boolean|) "failed") (|SparseUnivariatePolynomial| |#2|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{checkForZero(p, a, b, incl?)} is \\spad{true} if \\spad{p} has a zero between a and \\spad{b},{} \\spad{false} otherwise,{} \"failed\" if this cannot be determined. Check for a and \\spad{b} inclusive if incl? is \\spad{true},{} exclusive otherwise.") (((|Union| (|Boolean|) "failed") (|Polynomial| |#1|) (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{checkForZero(p, x, a, b, incl?)} is \\spad{true} if \\spad{p} has a zero for \\spad{x} between a and \\spad{b},{} \\spad{false} otherwise,{} \"failed\" if this cannot be determined. Check for a and \\spad{b} inclusive if incl? is \\spad{true},{} exclusive otherwise.")) (|computeInt| (((|Union| (|OrderedCompletion| |#2|) "failed") (|Kernel| |#2|) |#2| (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{computeInt(x, g, a, b, eval?)} returns the integral of \\spad{f} for \\spad{x} between a and \\spad{b},{} assuming that \\spad{g} is an indefinite integral of \\spad{f} and \\spad{f} has no pole between a and \\spad{b}. If \\spad{eval?} is \\spad{true},{} then \\spad{g} can be evaluated safely at \\spad{a} and \\spad{b},{} provided that they are finite values. Otherwise,{} limits must be computed.")) (|ignore?| (((|Boolean|) (|String|)) "\\spad{ignore?(s)} is \\spad{true} if \\spad{s} is the string that tells the integrator to assume that the function has no pole in the integration interval."))) 
 NIL 
 NIL 
 (-227) 
 ((|constructor| (NIL "\\indented{1}{\\spadtype{DoubleFloat} is intended to make accessible} hardware floating point arithmetic in \\Language{},{} either native double precision,{} or IEEE. On most machines,{} there will be hardware support for the arithmetic operations: \\spadfunFrom{+}{DoubleFloat},{} \\spadfunFrom{*}{DoubleFloat},{} \\spadfunFrom{/}{DoubleFloat} and possibly also the \\spadfunFrom{sqrt}{DoubleFloat} operation. The operations \\spadfunFrom{exp}{DoubleFloat},{} \\spadfunFrom{log}{DoubleFloat},{} \\spadfunFrom{sin}{DoubleFloat},{} \\spadfunFrom{cos}{DoubleFloat},{} \\spadfunFrom{atan}{DoubleFloat} are normally coded in software based on minimax polynomial/rational approximations. Note that under Lisp/VM,{} \\spadfunFrom{atan}{DoubleFloat} is not available at this time. Some general comments about the accuracy of the operations: the operations \\spadfunFrom{+}{DoubleFloat},{} \\spadfunFrom{*}{DoubleFloat},{} \\spadfunFrom{/}{DoubleFloat} and \\spadfunFrom{sqrt}{DoubleFloat} are expected to be fully accurate. The operations \\spadfunFrom{exp}{DoubleFloat},{} \\spadfunFrom{log}{DoubleFloat},{} \\spadfunFrom{sin}{DoubleFloat},{} \\spadfunFrom{cos}{DoubleFloat} and \\spadfunFrom{atan}{DoubleFloat} are not expected to be fully accurate. In particular,{} \\spadfunFrom{sin}{DoubleFloat} and \\spadfunFrom{cos}{DoubleFloat} will lose all precision for large arguments. \\blankline The \\spadtype{Float} domain provides an alternative to the \\spad{DoubleFloat} domain. It provides an arbitrary precision model of floating point arithmetic. This means that accuracy problems like those above are eliminated by increasing the working precision where necessary. \\spadtype{Float} provides some special functions such as \\spadfunFrom{erf}{DoubleFloat},{} the error function in addition to the elementary functions. The disadvantage of \\spadtype{Float} is that it is much more expensive than small floats when the latter can be used.")) (|rationalApproximation| (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n, b)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< b**(-n)} (that is,{} \\spad{|(r-f)/f| < b**(-n)}).") (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< 10**(-n)}.")) (|Beta| (($ $ $) "\\spad{Beta(x,y)} is \\spad{Gamma(x) * Gamma(y)/Gamma(x+y)}.")) (|Gamma| (($ $) "\\spad{Gamma(x)} is the Euler Gamma function.")) (|atan| (($ $ $) "\\spad{atan(x,y)} computes the arc tangent from \\spad{x} with phase \\spad{y}.")) (|log10| (($ $) "\\spad{log10(x)} computes the logarithm with base 10 for \\spad{x}.")) (|log2| (($ $) "\\spad{log2(x)} computes the logarithm with base 2 for \\spad{x}.")) (|exp1| (($) "\\spad{exp1()} returns the natural log base \\spad{2.718281828...}.")) (** (($ $ $) "\\spad{x ** y} returns the \\spad{y}th power of \\spad{x} (equal to \\spad{exp(y log x)}).")) (/ (($ $ (|Integer|)) "\\spad{x / i} computes the division from \\spad{x} by an integer \\spad{i}."))) 
-((-4165 . T) (-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4166 . T) (-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-228) 
 ((|constructor| (NIL "This package provides special functions for double precision real and complex floating point.")) (|hypergeometric0F1| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{hypergeometric0F1(c,z)} is the hypergeometric function \\spad{0F1(; c; z)}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{hypergeometric0F1(c,z)} is the hypergeometric function \\spad{0F1(; c; z)}.")) (|airyBi| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{airyBi(x)} is the Airy function \\spad{Bi(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Bi''(x) - x * Bi(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{airyBi(x)} is the Airy function \\spad{Bi(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Bi''(x) - x * Bi(x) = 0}.}")) (|airyAi| (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{airyAi(x)} is the Airy function \\spad{Ai(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Ai''(x) - x * Ai(x) = 0}.}") (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{airyAi(x)} is the Airy function \\spad{Ai(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Ai''(x) - x * Ai(x) = 0}.}")) (|besselK| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselK(v,x)} is the modified Bessel function of the first kind,{} \\spad{K(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{K(v,x) = \\%pi/2*(I(-v,x) - I(v,x))/sin(v*\\%pi)}} so is not valid for integer values of \\spad{v}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselK(v,x)} is the modified Bessel function of the first kind,{} \\spad{K(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{K(v,x) = \\%pi/2*(I(-v,x) - I(v,x))/sin(v*\\%pi)}.} so is not valid for integer values of \\spad{v}.")) (|besselI| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselI(v,x)} is the modified Bessel function of the first kind,{} \\spad{I(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselI(v,x)} is the modified Bessel function of the first kind,{} \\spad{I(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.}")) (|besselY| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselY(v,x)} is the Bessel function of the second kind,{} \\spad{Y(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{Y(v,x) = (J(v,x) cos(v*\\%pi) - J(-v,x))/sin(v*\\%pi)}} so is not valid for integer values of \\spad{v}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselY(v,x)} is the Bessel function of the second kind,{} \\spad{Y(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{Y(v,x) = (J(v,x) cos(v*\\%pi) - J(-v,x))/sin(v*\\%pi)}} so is not valid for integer values of \\spad{v}.")) (|besselJ| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselJ(v,x)} is the Bessel function of the first kind,{} \\spad{J(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselJ(v,x)} is the Bessel function of the first kind,{} \\spad{J(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.}")) (|polygamma| (((|Complex| (|DoubleFloat|)) (|NonNegativeInteger|) (|Complex| (|DoubleFloat|))) "\\spad{polygamma(n, x)} is the \\spad{n}-th derivative of \\spad{digamma(x)}.") (((|DoubleFloat|) (|NonNegativeInteger|) (|DoubleFloat|)) "\\spad{polygamma(n, x)} is the \\spad{n}-th derivative of \\spad{digamma(x)}.")) (|digamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{digamma(x)} is the function,{} \\spad{psi(x)},{} defined by \\indented{2}{\\spad{psi(x) = Gamma'(x)/Gamma(x)}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{digamma(x)} is the function,{} \\spad{psi(x)},{} defined by \\indented{2}{\\spad{psi(x) = Gamma'(x)/Gamma(x)}.}")) (|logGamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{logGamma(x)} is the natural log of \\spad{Gamma(x)}. This can often be computed even if \\spad{Gamma(x)} cannot.") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{logGamma(x)} is the natural log of \\spad{Gamma(x)}. This can often be computed even if \\spad{Gamma(x)} cannot.")) (|Beta| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{Beta(x, y)} is the Euler beta function,{} \\spad{B(x,y)},{} defined by \\indented{2}{\\spad{Beta(x,y) = integrate(t^(x-1)*(1-t)^(y-1), t=0..1)}.} This is related to \\spad{Gamma(x)} by \\indented{2}{\\spad{Beta(x,y) = Gamma(x)*Gamma(y) / Gamma(x + y)}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{Beta(x, y)} is the Euler beta function,{} \\spad{B(x,y)},{} defined by \\indented{2}{\\spad{Beta(x,y) = integrate(t^(x-1)*(1-t)^(y-1), t=0..1)}.} This is related to \\spad{Gamma(x)} by \\indented{2}{\\spad{Beta(x,y) = Gamma(x)*Gamma(y) / Gamma(x + y)}.}")) (|Gamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{Gamma(x)} is the Euler gamma function,{} \\spad{Gamma(x)},{} defined by \\indented{2}{\\spad{Gamma(x) = integrate(t^(x-1)*exp(-t), t=0..\\%infinity)}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{Gamma(x)} is the Euler gamma function,{} \\spad{Gamma(x)},{} defined by \\indented{2}{\\spad{Gamma(x) = integrate(t^(x-1)*exp(-t), t=0..\\%infinity)}.}"))) 
@@ -846,19 +846,19 @@ NIL
 NIL 
 (-229 R) 
 ((|constructor| (NIL "\\indented{1}{A Denavit-Hartenberg Matrix is a 4x4 Matrix of the form:} \\indented{1}{\\spad{nx ox ax px}} \\indented{1}{\\spad{ny oy ay py}} \\indented{1}{\\spad{nz oz az pz}} \\indented{2}{\\spad{0\\space{2}0\\space{2}0\\space{2}1}} (\\spad{n},{} \\spad{o},{} and a are the direction cosines)")) (|translate| (($ |#1| |#1| |#1|) "\\spad{translate(X,Y,Z)} returns a dhmatrix for translation by \\spad{X},{} \\spad{Y},{} and \\spad{Z}")) (|scale| (($ |#1| |#1| |#1|) "\\spad{scale(sx,sy,sz)} returns a dhmatrix for scaling in the \\spad{X},{} \\spad{Y} and \\spad{Z} directions")) (|rotatez| (($ |#1|) "\\spad{rotatez(r)} returns a dhmatrix for rotation about axis \\spad{Z} for \\spad{r} degrees")) (|rotatey| (($ |#1|) "\\spad{rotatey(r)} returns a dhmatrix for rotation about axis \\spad{Y} for \\spad{r} degrees")) (|rotatex| (($ |#1|) "\\spad{rotatex(r)} returns a dhmatrix for rotation about axis \\spad{X} for \\spad{r} degrees")) (|identity| (($) "\\spad{identity()} create the identity dhmatrix")) (* (((|Point| |#1|) $ (|Point| |#1|)) "\\spad{t*p} applies the dhmatrix \\spad{t} to point \\spad{p}"))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4466 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4467 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
 (-230 A S) 
 ((|constructor| (NIL "A dictionary is an aggregate in which entries can be inserted,{} searched for and removed. Duplicates are thrown away on insertion. This category models the usual notion of dictionary which involves large amounts of data where copying is impractical. Principal operations are thus destructive (non-copying) ones."))) 
 NIL 
 NIL 
 (-231 S) 
 ((|constructor| (NIL "A dictionary is an aggregate in which entries can be inserted,{} searched for and removed. Duplicates are thrown away on insertion. This category models the usual notion of dictionary which involves large amounts of data where copying is impractical. Principal operations are thus destructive (non-copying) ones."))) 
-((-4465 . T)) 
+((-4466 . T)) 
 NIL 
 (-232 R) 
 ((|constructor| (NIL "Differential extensions of a ring \\spad{R}. Given a differentiation on \\spad{R},{} extend it to a differentiation on \\%."))) 
-((-4461 . T)) 
+((-4462 . T)) 
 NIL 
 (-233 S T$) 
 ((|constructor| (NIL "This category captures the interface of domains with a distinguished operation named \\spad{differentiate}. Usually,{} additional properties are wanted. For example,{} that it obeys the usual Leibniz identity of differentiation of product,{} in case of differential rings. One could also want \\spad{differentiate} to obey the chain rule when considering differential manifolds. The lack of specific requirement in this category is an implicit admission that currently \\Language{} is not expressive enough to express the most general notion of differentiation in an adequate manner,{} suitable for computational purposes.")) (D ((|#2| $) "\\spad{D x} is a shorthand for \\spad{differentiate x}")) (|differentiate| ((|#2| $) "\\spad{differentiate x} compute the derivative of \\spad{x}."))) 
@@ -870,7 +870,7 @@ NIL
 NIL 
 (-235 R) 
 ((|constructor| (NIL "An \\spad{R}-module equipped with a distinguised differential operator. If \\spad{R} is a differential ring,{} then differentiation on the module should extend differentiation on the differential ring \\spad{R}. The latter can be the null operator. In that case,{} the differentiation operator on the module is just an \\spad{R}-linear operator. For that reason,{} we do not require that the ring \\spad{R} be a DifferentialRing; \\blankline"))) 
-((-4459 . T) (-4458 . T)) 
+((-4460 . T) (-4459 . T)) 
 NIL 
 (-236 S) 
 ((|constructor| (NIL "This category is like \\spadtype{DifferentialDomain} where the target of the differentiation operator is the same as its source.")) (D (($ $ (|NonNegativeInteger|)) "\\spad{D(x, n)} returns the \\spad{n}\\spad{-}th derivative of \\spad{x}.")) (|differentiate| (($ $ (|NonNegativeInteger|)) "\\spad{differentiate(x,n)} returns the \\spad{n}\\spad{-}th derivative of \\spad{x}."))) 
@@ -882,36 +882,36 @@ NIL
 NIL 
 (-238) 
 ((|constructor| (NIL "An ordinary differential ring,{} that is,{} a ring with an operation \\spadfun{differentiate}. \\blankline"))) 
-((-4461 . T)) 
+((-4462 . T)) 
 NIL 
 (-239 A S) 
 ((|constructor| (NIL "This category is a collection of operations common to both categories \\spadtype{Dictionary} and \\spadtype{MultiDictionary}")) (|select!| (($ (|Mapping| (|Boolean|) |#2|) $) "\\spad{select!(p,d)} destructively changes dictionary \\spad{d} by removing all entries \\spad{x} such that \\axiom{\\spad{p}(\\spad{x})} is not \\spad{true}.")) (|remove!| (($ (|Mapping| (|Boolean|) |#2|) $) "\\spad{remove!(p,d)} destructively changes dictionary \\spad{d} by removeing all entries \\spad{x} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}.") (($ |#2| $) "\\spad{remove!(x,d)} destructively changes dictionary \\spad{d} by removing all entries \\spad{y} such that \\axiom{\\spad{y} = \\spad{x}}.")) (|dictionary| (($ (|List| |#2|)) "\\spad{dictionary([x,y,...,z])} creates a dictionary consisting of entries \\axiom{\\spad{x},{}\\spad{y},{}...,{}\\spad{z}}.") (($) "\\spad{dictionary()}\\$\\spad{D} creates an empty dictionary of type \\spad{D}."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4464))) 
+((|HasAttribute| |#1| (QUOTE -4465))) 
 (-240 S) 
 ((|constructor| (NIL "This category is a collection of operations common to both categories \\spadtype{Dictionary} and \\spadtype{MultiDictionary}")) (|select!| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{select!(p,d)} destructively changes dictionary \\spad{d} by removing all entries \\spad{x} such that \\axiom{\\spad{p}(\\spad{x})} is not \\spad{true}.")) (|remove!| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{remove!(p,d)} destructively changes dictionary \\spad{d} by removeing all entries \\spad{x} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}.") (($ |#1| $) "\\spad{remove!(x,d)} destructively changes dictionary \\spad{d} by removing all entries \\spad{y} such that \\axiom{\\spad{y} = \\spad{x}}.")) (|dictionary| (($ (|List| |#1|)) "\\spad{dictionary([x,y,...,z])} creates a dictionary consisting of entries \\axiom{\\spad{x},{}\\spad{y},{}...,{}\\spad{z}}.") (($) "\\spad{dictionary()}\\$\\spad{D} creates an empty dictionary of type \\spad{D}."))) 
-((-4465 . T)) 
+((-4466 . T)) 
 NIL 
 (-241) 
 ((|constructor| (NIL "any solution of a homogeneous linear Diophantine equation can be represented as a sum of minimal solutions,{} which form a \"basis\" (a minimal solution cannot be represented as a nontrivial sum of solutions) in the case of an inhomogeneous linear Diophantine equation,{} each solution is the sum of a inhomogeneous solution and any number of homogeneous solutions therefore,{} it suffices to compute two sets: \\indented{3}{1. all minimal inhomogeneous solutions} \\indented{3}{2. all minimal homogeneous solutions} the algorithm implemented is a completion procedure,{} which enumerates all solutions in a recursive depth-first-search it can be seen as finding monotone paths in a graph for more details see Reference")) (|dioSolve| (((|Record| (|:| |varOrder| (|List| (|Symbol|))) (|:| |inhom| (|Union| (|List| (|Vector| (|NonNegativeInteger|))) "failed")) (|:| |hom| (|List| (|Vector| (|NonNegativeInteger|))))) (|Equation| (|Polynomial| (|Integer|)))) "\\spad{dioSolve(u)} computes a basis of all minimal solutions for linear homogeneous Diophantine equation \\spad{u},{} then all minimal solutions of inhomogeneous equation"))) 
 NIL 
 NIL 
-(-242 S -2704 R) 
+(-242 S -2706 R) 
 ((|constructor| (NIL "\\indented{2}{This category represents a finite cartesian product of a given type.} Many categorical properties are preserved under this construction.")) (|dot| ((|#3| $ $) "\\spad{dot(x,y)} computes the inner product of the vectors \\spad{x} and \\spad{y}.")) (|unitVector| (($ (|PositiveInteger|)) "\\spad{unitVector(n)} produces a vector with 1 in position \\spad{n} and zero elsewhere.")) (|directProduct| (($ (|Vector| |#3|)) "\\spad{directProduct(v)} converts the vector \\spad{v} to become a direct product. Error: if the length of \\spad{v} is different from dim.")) (|finiteAggregate| ((|attribute|) "attribute to indicate an aggregate of finite size"))) 
 NIL 
-((|HasCategory| |#3| (QUOTE (-374))) (|HasCategory| |#3| (QUOTE (-805))) (|HasCategory| |#3| (QUOTE (-861))) (|HasAttribute| |#3| (QUOTE -4461)) (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-379))) (|HasCategory| |#3| (QUOTE (-738))) (|HasCategory| |#3| (QUOTE (-21))) (|HasCategory| |#3| (QUOTE (-23))) (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (QUOTE (-1070))) (|HasCategory| |#3| (QUOTE (-1121)))) 
-(-243 -2704 R) 
+((|HasCategory| |#3| (QUOTE (-374))) (|HasCategory| |#3| (QUOTE (-805))) (|HasCategory| |#3| (QUOTE (-861))) (|HasAttribute| |#3| (QUOTE -4462)) (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-379))) (|HasCategory| |#3| (QUOTE (-738))) (|HasCategory| |#3| (QUOTE (-21))) (|HasCategory| |#3| (QUOTE (-23))) (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (QUOTE (-1070))) (|HasCategory| |#3| (QUOTE (-1121)))) 
+(-243 -2706 R) 
 ((|constructor| (NIL "\\indented{2}{This category represents a finite cartesian product of a given type.} Many categorical properties are preserved under this construction.")) (|dot| ((|#2| $ $) "\\spad{dot(x,y)} computes the inner product of the vectors \\spad{x} and \\spad{y}.")) (|unitVector| (($ (|PositiveInteger|)) "\\spad{unitVector(n)} produces a vector with 1 in position \\spad{n} and zero elsewhere.")) (|directProduct| (($ (|Vector| |#2|)) "\\spad{directProduct(v)} converts the vector \\spad{v} to become a direct product. Error: if the length of \\spad{v} is different from dim.")) (|finiteAggregate| ((|attribute|) "attribute to indicate an aggregate of finite size"))) 
-((-4458 |has| |#2| (-1070)) (-4459 |has| |#2| (-1070)) (-4461 |has| |#2| (-6 -4461)) (-4464 . T)) 
+((-4459 |has| |#2| (-1070)) (-4460 |has| |#2| (-1070)) (-4462 |has| |#2| (-6 -4462)) (-4465 . T)) 
 NIL 
-(-244 -2704 A B) 
+(-244 -2706 A B) 
 ((|constructor| (NIL "\\indented{2}{This package provides operations which all take as arguments} direct products of elements of some type \\spad{A} and functions from \\spad{A} to another type \\spad{B}. The operations all iterate over their vector argument and either return a value of type \\spad{B} or a direct product over \\spad{B}.")) (|map| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2|) (|DirectProduct| |#1| |#2|)) "\\spad{map(f, v)} applies the function \\spad{f} to every element of the vector \\spad{v} producing a new vector containing the values.")) (|reduce| ((|#3| (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{reduce(func,vec,ident)} combines the elements in \\spad{vec} using the binary function \\spad{func}. Argument \\spad{ident} is returned if the vector is empty.")) (|scan| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{scan(func,vec,ident)} creates a new vector whose elements are the result of applying reduce to the binary function \\spad{func},{} increasing initial subsequences of the vector \\spad{vec},{} and the element \\spad{ident}."))) 
 NIL 
 NIL 
-(-245 -2704 R) 
+(-245 -2706 R) 
 ((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying component type. This contrasts with simple vectors in that the members can be viewed as having constant length. Thus many categorical properties can by lifted from the underlying component type. Component extraction operations are provided but no updating operations. Thus new direct product elements can either be created by converting vector elements using the \\spadfun{directProduct} function or by taking appropriate linear combinations of basis vectors provided by the \\spad{unitVector} operation."))) 
-((-4458 |has| |#2| (-1070)) (-4459 |has| |#2| (-1070)) (-4461 |has| |#2| (-6 -4461)) (-4464 . T)) 
-((-2758 (-12 (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-132))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-379))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-738))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-805))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-861))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1070))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))))) (-2758 (-12 (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-1121)))) (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (QUOTE (-1070)))) (-12 (|HasCategory| |#2| (QUOTE (-1070))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-1070))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197))))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#2| (QUOTE (-374))) (-2758 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-1070)))) (-2758 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-374)))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-1070))) (|HasCategory| |#2| (QUOTE (-738))) (|HasCategory| |#2| (QUOTE (-805))) (-2758 (|HasCategory| |#2| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-861)))) (|HasCategory| |#2| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-379))) (-2758 (-12 (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197))))) (-12 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#2| 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(-576))))) (-12 (|HasCategory| |#2| (QUOTE (-738))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-805))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-861))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-1070))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))))) (|HasCategory| (-576) (QUOTE (-861))) (-12 (|HasCategory| |#2| (QUOTE (-1070))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-237))) (|HasCategory| |#2| (QUOTE (-1070)))) (-12 (|HasCategory| |#2| (QUOTE (-1070))) (|HasCategory| |#2| (LIST (QUOTE -919) (QUOTE (-1197))))) (-2760 (|HasCategory| |#2| (QUOTE (-1070))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-1121)))) (|HasAttribute| |#2| (QUOTE -4462)) (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (QUOTE (-1070)))) (-12 (|HasCategory| |#2| (QUOTE (-1070))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197))))) (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))))) 
 (-246) 
 ((|constructor| (NIL "DisplayPackage allows one to print strings in a nice manner,{} including highlighting substrings.")) (|sayLength| (((|Integer|) (|List| (|String|))) "\\spad{sayLength(l)} returns the length of a list of strings \\spad{l} as an integer.") (((|Integer|) (|String|)) "\\spad{sayLength(s)} returns the length of a string \\spad{s} as an integer.")) (|say| (((|Void|) (|List| (|String|))) "\\spad{say(l)} sends a list of strings \\spad{l} to output.") (((|Void|) (|String|)) "\\spad{say(s)} sends a string \\spad{s} to output.")) (|center| (((|List| (|String|)) (|List| (|String|)) (|Integer|) (|String|)) "\\spad{center(l,i,s)} takes a list of strings \\spad{l},{} and centers them within a list of strings which is \\spad{i} characters long,{} in which the remaining spaces are filled with strings composed of as many repetitions as possible of the last string parameter \\spad{s}.") (((|String|) (|String|) (|Integer|) (|String|)) "\\spad{center(s,i,s)} takes the first string \\spad{s},{} and centers it within a string of length \\spad{i},{} in which the other elements of the string are composed of as many replications as possible of the second indicated string,{} \\spad{s} which must have a length greater than that of an empty string.")) (|copies| (((|String|) (|Integer|) (|String|)) "\\spad{copies(i,s)} will take a string \\spad{s} and create a new string composed of \\spad{i} copies of \\spad{s}.")) (|newLine| (((|String|)) "\\spad{newLine()} sends a new line command to output.")) (|bright| (((|List| (|String|)) (|List| (|String|))) "\\spad{bright(l)} sets the font property of a list of strings,{} \\spad{l},{} to bold-face type.") (((|List| (|String|)) (|String|)) "\\spad{bright(s)} sets the font property of the string \\spad{s} to bold-face type."))) 
 NIL 
@@ -922,7 +922,7 @@ NIL
 NIL 
 (-248) 
 ((|constructor| (NIL "A division ring (sometimes called a skew field),{} \\spadignore{i.e.} a not necessarily commutative ring where all non-zero elements have multiplicative inverses.")) (|inv| (($ $) "\\spad{inv x} returns the multiplicative inverse of \\spad{x}. Error: if \\spad{x} is 0.")) (** (($ $ (|Integer|)) "\\spad{x**n} returns \\spad{x} raised to the integer power \\spad{n}."))) 
-((-4457 . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4458 . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-249 S) 
 ((|constructor| (NIL "A doubly-linked aggregate serves as a model for a doubly-linked list,{} that is,{} a list which can has links to both next and previous nodes and thus can be efficiently traversed in both directions.")) (|setnext!| (($ $ $) "\\spad{setnext!(u,v)} destructively sets the next node of doubly-linked aggregate \\spad{u} to \\spad{v},{} returning \\spad{v}.")) (|setprevious!| (($ $ $) "\\spad{setprevious!(u,v)} destructively sets the previous node of doubly-linked aggregate \\spad{u} to \\spad{v},{} returning \\spad{v}.")) (|concat!| (($ $ $) "\\spad{concat!(u,v)} destructively concatenates doubly-linked aggregate \\spad{v} to the end of doubly-linked aggregate \\spad{u}.")) (|next| (($ $) "\\spad{next(l)} returns the doubly-linked aggregate beginning with its next element. Error: if \\spad{l} has no next element. Note: \\axiom{next(\\spad{l}) = rest(\\spad{l})} and \\axiom{previous(next(\\spad{l})) = \\spad{l}}.")) (|previous| (($ $) "\\spad{previous(l)} returns the doubly-link list beginning with its previous element. Error: if \\spad{l} has no previous element. Note: \\axiom{next(previous(\\spad{l})) = \\spad{l}}.")) (|tail| (($ $) "\\spad{tail(l)} returns the doubly-linked aggregate \\spad{l} starting at its second element. Error: if \\spad{l} is empty.")) (|head| (($ $) "\\spad{head(l)} returns the first element of a doubly-linked aggregate \\spad{l}. Error: if \\spad{l} is empty.")) (|last| ((|#1| $) "\\spad{last(l)} returns the last element of a doubly-linked aggregate \\spad{l}. Error: if \\spad{l} is empty."))) 
@@ -930,20 +930,20 @@ NIL
 NIL 
 (-250 S) 
 ((|constructor| (NIL "This domain provides some nice functions on lists")) (|elt| (((|NonNegativeInteger|) $ "count") "\\axiom{\\spad{l}.\"count\"} returns the number of elements in \\axiom{\\spad{l}}.") (($ $ "sort") "\\axiom{\\spad{l}.sort} returns \\axiom{\\spad{l}} with elements sorted. Note: \\axiom{\\spad{l}.sort = sort(\\spad{l})}") (($ $ "unique") "\\axiom{\\spad{l}.unique} returns \\axiom{\\spad{l}} with duplicates removed. Note: \\axiom{\\spad{l}.unique = removeDuplicates(\\spad{l})}.")) (|datalist| (($ (|List| |#1|)) "\\spad{datalist(l)} creates a datalist from \\spad{l}"))) 
-((-4465 . T) (-4464 . T)) 
-((-2758 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2758 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-4466 . T) (-4465 . T)) 
+((-2760 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2760 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
 (-251 M) 
 ((|constructor| (NIL "DiscreteLogarithmPackage implements help functions for discrete logarithms in monoids using small cyclic groups.")) (|shanksDiscLogAlgorithm| (((|Union| (|NonNegativeInteger|) "failed") |#1| |#1| (|NonNegativeInteger|)) "\\spad{shanksDiscLogAlgorithm(b,a,p)} computes \\spad{s} with \\spad{b**s = a} for assuming that \\spad{a} and \\spad{b} are elements in a 'small' cyclic group of order \\spad{p} by Shank\\spad{'s} algorithm. Note: this is a subroutine of the function \\spadfun{discreteLog}.")) (** ((|#1| |#1| (|Integer|)) "\\spad{x ** n} returns \\spad{x} raised to the integer power \\spad{n}"))) 
 NIL 
 NIL 
 (-252 R) 
 ((|constructor| (NIL "Category of modules that extend differential rings. \\blankline"))) 
-((-4459 . T) (-4458 . T)) 
+((-4460 . T) (-4459 . T)) 
 NIL 
 (-253 |vl| R) 
 ((|constructor| (NIL "\\indented{2}{This type supports distributed multivariate polynomials} whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is lexicographic specified by the variable list parameter with the most significant variable first in the list.")) (|reorder| (($ $ (|List| (|Integer|))) "\\spad{reorder(p, perm)} applies the permutation perm to the variables in a polynomial and returns the new correctly ordered polynomial"))) 
-(((-4466 "*") |has| |#2| (-174)) (-4457 |has| |#2| (-568)) (-4462 |has| |#2| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) 
-((|HasCategory| |#2| (QUOTE (-928))) (-2758 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2758 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2758 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (-2758 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-568)))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2758 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374))) (|HasAttribute| |#2| (QUOTE -4462)) (|HasCategory| |#2| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-146))))) 
+(((-4467 "*") |has| |#2| (-174)) (-4458 |has| |#2| (-568)) (-4463 |has| |#2| (-6 -4463)) (-4460 . T) (-4459 . T) (-4462 . T)) 
+((|HasCategory| |#2| (QUOTE (-928))) (-2760 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2760 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2760 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (-2760 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-568)))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2760 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374))) (|HasAttribute| |#2| (QUOTE -4463)) (|HasCategory| |#2| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-146))))) 
 (-254) 
 ((|showSummary| (((|Void|) $) "\\spad{showSummary(d)} prints out implementation detail information of domain \\spad{`d'}.")) (|reflect| (($ (|ConstructorCall| (|DomainConstructor|))) "\\spad{reflect cc} returns the domain object designated by the ConstructorCall syntax `cc'. The constructor implied by `cc' must be known to the system since it is instantiated.")) (|reify| (((|ConstructorCall| (|DomainConstructor|)) $) "\\spad{reify(d)} returns the abstract syntax for the domain \\spad{`x'}.")) (|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Create: October 18,{} 2007. Date Last Updated: December 20,{} 2008. Basic Operations: coerce,{} reify Related Constructors: Type,{} Syntax,{} OutputForm Also See: Type,{} ConstructorCall") (((|DomainConstructor|) $) "\\spad{constructor(d)} returns the domain constructor that is instantiated to the domain object \\spad{`d'}."))) 
 NIL 
@@ -958,23 +958,23 @@ NIL
 NIL 
 (-257 |n| R M S) 
 ((|constructor| (NIL "This constructor provides a direct product type with a left matrix-module view."))) 
-((-4461 -2758 (-2673 (|has| |#4| (-1070)) (|has| |#4| (-238))) (|has| |#4| (-6 -4461)) (-2673 (|has| |#4| (-1070)) (|has| |#4| (-917 (-1197))))) (-4458 |has| |#4| (-1070)) (-4459 |has| |#4| (-1070)) (-4464 . T)) 
-((-2758 (-12 (|HasCategory| |#4| (QUOTE (-21))) (|HasCategory| |#4| (LIST (QUOTE -319) (|devaluate| |#4|)))) (-12 (|HasCategory| |#4| (QUOTE (-174))) (|HasCategory| |#4| (LIST (QUOTE -319) (|devaluate| |#4|)))) (-12 (|HasCategory| |#4| (QUOTE (-238))) (|HasCategory| |#4| (LIST (QUOTE -319) (|devaluate| |#4|)))) (-12 (|HasCategory| |#4| (QUOTE (-374))) (|HasCategory| |#4| (LIST (QUOTE -319) (|devaluate| |#4|)))) (-12 (|HasCategory| |#4| (QUOTE (-379))) (|HasCategory| |#4| (LIST (QUOTE -319) (|devaluate| |#4|)))) (-12 (|HasCategory| |#4| (QUOTE (-738))) (|HasCategory| |#4| (LIST (QUOTE -319) (|devaluate| |#4|)))) (-12 (|HasCategory| |#4| (QUOTE (-805))) (|HasCategory| |#4| (LIST (QUOTE -319) (|devaluate| |#4|)))) (-12 (|HasCategory| |#4| (QUOTE (-861))) (|HasCategory| |#4| (LIST (QUOTE -319) (|devaluate| |#4|)))) (-12 (|HasCategory| |#4| (QUOTE (-1070))) (|HasCategory| |#4| (LIST (QUOTE -319) (|devaluate| |#4|)))) (-12 (|HasCategory| |#4| (QUOTE (-1121))) (|HasCategory| |#4| (LIST 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 (-259 A R S V E) 
 ((|constructor| (NIL "\\spadtype{DifferentialPolynomialCategory} is a category constructor specifying basic functions in an ordinary differential polynomial ring with a given ordered set of differential indeterminates. In addition,{} it implements defaults for the basic functions. The functions \\spadfun{order} and \\spadfun{weight} are extended from the set of derivatives of differential indeterminates to the set of differential polynomials. Other operations provided on differential polynomials are \\spadfun{leader},{} \\spadfun{initial},{} \\spadfun{separant},{} \\spadfun{differentialVariables},{} and \\spadfun{isobaric?}. Furthermore,{} if the ground ring is a differential ring,{} then evaluation (substitution of differential indeterminates by elements of the ground ring or by differential polynomials) is provided by \\spadfun{eval}. A convenient way of referencing derivatives is provided by the functions \\spadfun{makeVariable}. \\blankline To construct a domain using this constructor,{} one needs to provide a ground ring \\spad{R},{} an ordered set \\spad{S} of differential indeterminates,{} a ranking \\spad{V} on the set of derivatives of the differential indeterminates,{} and a set \\spad{E} of exponents in bijection with the set of differential monomials in the given differential indeterminates. \\blankline")) (|separant| (($ $) "\\spad{separant(p)} returns the partial derivative of the differential polynomial \\spad{p} with respect to its leader.")) (|initial| (($ $) "\\spad{initial(p)} returns the leading coefficient when the differential polynomial \\spad{p} is written as a univariate polynomial in its leader.")) (|leader| ((|#4| $) "\\spad{leader(p)} returns the derivative of the highest rank appearing in the differential polynomial \\spad{p} Note: an error occurs if \\spad{p} is in the ground ring.")) (|isobaric?| (((|Boolean|) $) "\\spad{isobaric?(p)} returns \\spad{true} if every differential monomial appearing in the differential polynomial \\spad{p} has same weight,{} and returns \\spad{false} otherwise.")) (|weight| (((|NonNegativeInteger|) $ |#3|) "\\spad{weight(p, s)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|NonNegativeInteger|) $) "\\spad{weight(p)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p}.")) (|weights| (((|List| (|NonNegativeInteger|)) $ |#3|) "\\spad{weights(p, s)} returns a list of weights of differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|List| (|NonNegativeInteger|)) $) "\\spad{weights(p)} returns a list of weights of differential monomials appearing in differential polynomial \\spad{p}.")) (|degree| (((|NonNegativeInteger|) $ |#3|) "\\spad{degree(p, s)} returns the maximum degree of the differential polynomial \\spad{p} viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(p)} returns the order of the differential polynomial \\spad{p},{} which is the maximum number of differentiations of a differential indeterminate,{} among all those appearing in \\spad{p}.") (((|NonNegativeInteger|) $ |#3|) "\\spad{order(p,s)} returns the order of the differential polynomial \\spad{p} in differential indeterminate \\spad{s}.")) (|differentialVariables| (((|List| |#3|) $) "\\spad{differentialVariables(p)} returns a list of differential indeterminates occurring in a differential polynomial \\spad{p}.")) (|makeVariable| (((|Mapping| $ (|NonNegativeInteger|)) $) "\\spad{makeVariable(p)} views \\spad{p} as an element of a differential ring,{} in such a way that the \\spad{n}-th derivative of \\spad{p} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} \\spad{:=} makeVariable(\\spad{p}). Note: In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored.") (((|Mapping| $ (|NonNegativeInteger|)) |#3|) "\\spad{makeVariable(s)} views \\spad{s} as a differential indeterminate,{} in such a way that the \\spad{n}-th derivative of \\spad{s} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} :=makeVariable(\\spad{s}). Note: In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored."))) 
 NIL 
 ((|HasCategory| |#2| (QUOTE (-238)))) 
 (-260 R S V E) 
 ((|constructor| (NIL "\\spadtype{DifferentialPolynomialCategory} is a category constructor specifying basic functions in an ordinary differential polynomial ring with a given ordered set of differential indeterminates. In addition,{} it implements defaults for the basic functions. The functions \\spadfun{order} and \\spadfun{weight} are extended from the set of derivatives of differential indeterminates to the set of differential polynomials. Other operations provided on differential polynomials are \\spadfun{leader},{} \\spadfun{initial},{} \\spadfun{separant},{} \\spadfun{differentialVariables},{} and \\spadfun{isobaric?}. Furthermore,{} if the ground ring is a differential ring,{} then evaluation (substitution of differential indeterminates by elements of the ground ring or by differential polynomials) is provided by \\spadfun{eval}. A convenient way of referencing derivatives is provided by the functions \\spadfun{makeVariable}. \\blankline To construct a domain using this constructor,{} one needs to provide a ground ring \\spad{R},{} an ordered set \\spad{S} of differential indeterminates,{} a ranking \\spad{V} on the set of derivatives of the differential indeterminates,{} and a set \\spad{E} of exponents in bijection with the set of differential monomials in the given differential indeterminates. \\blankline")) (|separant| (($ $) "\\spad{separant(p)} returns the partial derivative of the differential polynomial \\spad{p} with respect to its leader.")) (|initial| (($ $) "\\spad{initial(p)} returns the leading coefficient when the differential polynomial \\spad{p} is written as a univariate polynomial in its leader.")) (|leader| ((|#3| $) "\\spad{leader(p)} returns the derivative of the highest rank appearing in the differential polynomial \\spad{p} Note: an error occurs if \\spad{p} is in the ground ring.")) (|isobaric?| (((|Boolean|) $) "\\spad{isobaric?(p)} returns \\spad{true} if every differential monomial appearing in the differential polynomial \\spad{p} has same weight,{} and returns \\spad{false} otherwise.")) (|weight| (((|NonNegativeInteger|) $ |#2|) "\\spad{weight(p, s)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|NonNegativeInteger|) $) "\\spad{weight(p)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p}.")) (|weights| (((|List| (|NonNegativeInteger|)) $ |#2|) "\\spad{weights(p, s)} returns a list of weights of differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|List| (|NonNegativeInteger|)) $) "\\spad{weights(p)} returns a list of weights of differential monomials appearing in differential polynomial \\spad{p}.")) (|degree| (((|NonNegativeInteger|) $ |#2|) "\\spad{degree(p, s)} returns the maximum degree of the differential polynomial \\spad{p} viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(p)} returns the order of the differential polynomial \\spad{p},{} which is the maximum number of differentiations of a differential indeterminate,{} among all those appearing in \\spad{p}.") (((|NonNegativeInteger|) $ |#2|) "\\spad{order(p,s)} returns the order of the differential polynomial \\spad{p} in differential indeterminate \\spad{s}.")) (|differentialVariables| (((|List| |#2|) $) "\\spad{differentialVariables(p)} returns a list of differential indeterminates occurring in a differential polynomial \\spad{p}.")) (|makeVariable| (((|Mapping| $ (|NonNegativeInteger|)) $) "\\spad{makeVariable(p)} views \\spad{p} as an element of a differential ring,{} in such a way that the \\spad{n}-th derivative of \\spad{p} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} \\spad{:=} makeVariable(\\spad{p}). Note: In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored.") (((|Mapping| $ (|NonNegativeInteger|)) |#2|) "\\spad{makeVariable(s)} views \\spad{s} as a differential indeterminate,{} in such a way that the \\spad{n}-th derivative of \\spad{s} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} :=makeVariable(\\spad{s}). Note: In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4463 |has| |#1| (-6 -4463)) (-4460 . T) (-4459 . T) (-4462 . T)) 
 NIL 
 (-261 S) 
 ((|constructor| (NIL "A dequeue is a doubly ended stack,{} that is,{} a bag where first items inserted are the first items extracted,{} at either the front or the back end of the data structure.")) (|reverse!| (($ $) "\\spad{reverse!(d)} destructively replaces \\spad{d} by its reverse dequeue,{} \\spadignore{i.e.} the top (front) element is now the bottom (back) element,{} and so on.")) (|extractBottom!| ((|#1| $) "\\spad{extractBottom!(d)} destructively extracts the bottom (back) element from the dequeue \\spad{d}. Error: if \\spad{d} is empty.")) (|extractTop!| ((|#1| $) "\\spad{extractTop!(d)} destructively extracts the top (front) element from the dequeue \\spad{d}. Error: if \\spad{d} is empty.")) (|insertBottom!| ((|#1| |#1| $) "\\spad{insertBottom!(x,d)} destructively inserts \\spad{x} into the dequeue \\spad{d} at the bottom (back) of the dequeue.")) (|insertTop!| ((|#1| |#1| $) "\\spad{insertTop!(x,d)} destructively inserts \\spad{x} into the dequeue \\spad{d},{} that is,{} at the top (front) of the dequeue. The element previously at the top of the dequeue becomes the second in the dequeue,{} and so on.")) (|bottom!| ((|#1| $) "\\spad{bottom!(d)} returns the element at the bottom (back) of the dequeue.")) (|top!| ((|#1| $) "\\spad{top!(d)} returns the element at the top (front) of the dequeue.")) (|height| (((|NonNegativeInteger|) $) "\\spad{height(d)} returns the number of elements in dequeue \\spad{d}. Note: \\axiom{height(\\spad{d}) = \\# \\spad{d}}.")) (|dequeue| (($ (|List| |#1|)) "\\spad{dequeue([x,y,...,z])} creates a dequeue with first (top or front) element \\spad{x},{} second element \\spad{y},{}...,{}and last (bottom or back) element \\spad{z}.") (($) "\\spad{dequeue()}\\$\\spad{D} creates an empty dequeue of type \\spad{D}."))) 
-((-4464 . T) (-4465 . T)) 
+((-4465 . T) (-4466 . T)) 
 NIL 
 (-262) 
 ((|constructor| (NIL "TopLevelDrawFunctionsForCompiledFunctions provides top level functions for drawing graphics of expressions.")) (|recolor| (((|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) "\\spad{recolor()},{} uninteresting to top level user; exported in order to compile package.")) (|makeObject| (((|ThreeSpace| (|DoubleFloat|)) (|ParametricSurface| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|Segment| (|Float|))) "\\spad{makeObject(surface(f,g,h),a..b,c..d,l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric surface \\spad{x = f(u,v)},{} \\spad{y = g(u,v)},{} \\spad{z = h(u,v)} as \\spad{u} ranges from \\spad{min(a,b)} to \\spad{max(a,b)} and \\spad{v} ranges from \\spad{min(c,d)} to \\spad{max(c,d)}.") (((|ThreeSpace| (|DoubleFloat|)) (|ParametricSurface| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{makeObject(surface(f,g,h),a..b,c..d,l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric surface \\spad{x = f(u,v)},{} \\spad{y = g(u,v)},{} \\spad{z = h(u,v)} as \\spad{u} ranges from \\spad{min(a,b)} to \\spad{max(a,b)} and \\spad{v} ranges from \\spad{min(c,d)} to \\spad{max(c,d)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|))) "\\spad{makeObject(f,a..b,c..d,l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric surface \\spad{f(u,v)} as \\spad{u} ranges from \\spad{min(a,b)} to \\spad{max(a,b)} and \\spad{v} ranges from \\spad{min(c,d)} to \\spad{max(c,d)}.") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{makeObject(f,a..b,c..d,l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric surface \\spad{f(u,v)} as \\spad{u} ranges from \\spad{min(a,b)} to \\spad{max(a,b)} and \\spad{v} ranges from \\spad{min(c,d)} to \\spad{max(c,d)}; The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|))) "\\spad{makeObject(f,a..b,c..d)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of \\spad{z = f(x,y)} as \\spad{x} ranges from \\spad{min(a,b)} to \\spad{max(a,b)} and \\spad{y} ranges from \\spad{min(c,d)} to \\spad{max(c,d)}.") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{makeObject(f,a..b,c..d,l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of \\spad{z = f(x,y)} as \\spad{x} ranges from \\spad{min(a,b)} to \\spad{max(a,b)} and \\spad{y} ranges from \\spad{min(c,d)} to \\spad{max(c,d)},{} and the options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|)) (|Segment| (|Float|))) "\\spad{makeObject(sp,curve(f,g,h),a..b)} returns the space \\spad{sp} of the domain \\spadtype{ThreeSpace} with the addition of the graph of the parametric curve \\spad{x = f(t), y = g(t), z = h(t)} as \\spad{t} ranges from \\spad{min(a,b)} to \\spad{max(a,b)}.") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{makeObject(curve(f,g,h),a..b,l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric curve \\spad{x = f(t), y = g(t), z = h(t)} as \\spad{t} ranges from \\spad{min(a,b)} to \\spad{max(a,b)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeSpace| (|DoubleFloat|)) (|ParametricSpaceCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|))) "\\spad{makeObject(sp,curve(f,g,h),a..b)} returns the space \\spad{sp} of the domain \\spadtype{ThreeSpace} with the addition of the graph of the parametric curve \\spad{x = f(t), y = g(t), z = h(t)} as \\spad{t} ranges from \\spad{min(a,b)} to \\spad{max(a,b)}.") (((|ThreeSpace| (|DoubleFloat|)) (|ParametricSpaceCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{makeObject(curve(f,g,h),a..b,l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric curve \\spad{x = f(t), y = g(t), z = h(t)} as \\spad{t} ranges from \\spad{min(a,b)} to \\spad{max(a,b)}; The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.")) (|draw| (((|ThreeDimensionalViewport|) (|ParametricSurface| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|Segment| (|Float|))) "\\spad{draw(surface(f,g,h),a..b,c..d)} draws the graph of the parametric surface \\spad{x = f(u,v)},{} \\spad{y = g(u,v)},{} \\spad{z = h(u,v)} as \\spad{u} ranges from \\spad{min(a,b)} to \\spad{max(a,b)} and \\spad{v} ranges from \\spad{min(c,d)} to \\spad{max(c,d)}.") (((|ThreeDimensionalViewport|) (|ParametricSurface| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(surface(f,g,h),a..b,c..d)} draws the graph of the parametric surface \\spad{x = f(u,v)},{} \\spad{y = g(u,v)},{} \\spad{z = h(u,v)} as \\spad{u} ranges from \\spad{min(a,b)} to \\spad{max(a,b)} and \\spad{v} ranges from \\spad{min(c,d)} to \\spad{max(c,d)}; The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeDimensionalViewport|) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|))) "\\spad{draw(f,a..b,c..d)} draws the graph of the parametric surface \\spad{f(u,v)} as \\spad{u} ranges from \\spad{min(a,b)} to \\spad{max(a,b)} and \\spad{v} ranges from \\spad{min(c,d)} to \\spad{max(c,d)} The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeDimensionalViewport|) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(f,a..b,c..d)} draws the graph of the parametric surface \\spad{f(u,v)} as \\spad{u} ranges from \\spad{min(a,b)} to \\spad{max(a,b)} and \\spad{v} ranges from \\spad{min(c,d)} to \\spad{max(c,d)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeDimensionalViewport|) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|))) "\\spad{draw(f,a..b,c..d)} draws the graph of \\spad{z = f(x,y)} as \\spad{x} ranges from \\spad{min(a,b)} to \\spad{max(a,b)} and \\spad{y} ranges from \\spad{min(c,d)} to \\spad{max(c,d)}.") (((|ThreeDimensionalViewport|) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(f,a..b,c..d,l)} draws the graph of \\spad{z = f(x,y)} as \\spad{x} ranges from \\spad{min(a,b)} to \\spad{max(a,b)} and \\spad{y} ranges from \\spad{min(c,d)} to \\spad{max(c,d)}. and the options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeDimensionalViewport|) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|)) (|Segment| (|Float|))) "\\spad{draw(f,a..b,l)} draws the graph of the parametric curve \\spad{f} as \\spad{t} ranges from \\spad{min(a,b)} to \\spad{max(a,b)}.") (((|ThreeDimensionalViewport|) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(f,a..b,l)} draws the graph of the parametric curve \\spad{f} as \\spad{t} ranges from \\spad{min(a,b)} to \\spad{max(a,b)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeDimensionalViewport|) (|ParametricSpaceCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|))) "\\spad{draw(curve(f,g,h),a..b,l)} draws the graph of the parametric curve \\spad{x = f(t), y = g(t), z = h(t)} as \\spad{t} ranges from \\spad{min(a,b)} to \\spad{max(a,b)}.") (((|ThreeDimensionalViewport|) (|ParametricSpaceCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(curve(f,g,h),a..b,l)} draws the graph of the parametric curve \\spad{x = f(t), y = g(t), z = h(t)} as \\spad{t} ranges from \\spad{min(a,b)} to \\spad{max(a,b)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|TwoDimensionalViewport|) (|ParametricPlaneCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|))) "\\spad{draw(curve(f,g),a..b)} draws the graph of the parametric curve \\spad{x = f(t), y = g(t)} as \\spad{t} ranges from \\spad{min(a,b)} to \\spad{max(a,b)}.") (((|TwoDimensionalViewport|) (|ParametricPlaneCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(curve(f,g),a..b,l)} draws the graph of the parametric curve \\spad{x = f(t), y = g(t)} as \\spad{t} ranges from \\spad{min(a,b)} to \\spad{max(a,b)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|TwoDimensionalViewport|) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|))) "\\spad{draw(f,a..b)} draws the graph of \\spad{y = f(x)} as \\spad{x} ranges from \\spad{min(a,b)} to \\spad{max(a,b)}.") (((|TwoDimensionalViewport|) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(f,a..b,l)} draws the graph of \\spad{y = f(x)} as \\spad{x} ranges from \\spad{min(a,b)} to \\spad{max(a,b)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied."))) 
@@ -1022,8 +1022,8 @@ NIL
 NIL 
 (-273 R S V) 
 ((|constructor| (NIL "\\spadtype{DifferentialSparseMultivariatePolynomial} implements an ordinary differential polynomial ring by combining a domain belonging to the category \\spadtype{DifferentialVariableCategory} with the domain \\spadtype{SparseMultivariatePolynomial}. \\blankline"))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) 
-((|HasCategory| |#1| (QUOTE (-928))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2758 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2758 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#3| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#3| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#3| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#3| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2758 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4462)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4463 |has| |#1| (-6 -4463)) (-4460 . T) (-4459 . T) (-4462 . T)) 
+((|HasCategory| |#1| (QUOTE (-928))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2760 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2760 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#3| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#3| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#3| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#3| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2760 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4463)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) 
 (-274 A S) 
 ((|constructor| (NIL "\\spadtype{DifferentialVariableCategory} constructs the set of derivatives of a given set of (ordinary) differential indeterminates. If \\spad{x},{}...,{}\\spad{y} is an ordered set of differential indeterminates,{} and the prime notation is used for differentiation,{} then the set of derivatives (including zero-th order) of the differential indeterminates is \\spad{x},{}\\spad{x'},{}\\spad{x''},{}...,{} \\spad{y},{}\\spad{y'},{}\\spad{y''},{}... (Note: in the interpreter,{} the \\spad{n}-th derivative of \\spad{y} is displayed as \\spad{y} with a subscript \\spad{n}.) This set is viewed as a set of algebraic indeterminates,{} totally ordered in a way compatible with differentiation and the given order on the differential indeterminates. Such a total order is called a ranking of the differential indeterminates. \\blankline A domain in this category is needed to construct a differential polynomial domain. Differential polynomials are ordered by a ranking on the derivatives,{} and by an order (extending the ranking) on on the set of differential monomials. One may thus associate a domain in this category with a ranking of the differential indeterminates,{} just as one associates a domain in the category \\spadtype{OrderedAbelianMonoidSup} with an ordering of the set of monomials in a set of algebraic indeterminates. The ranking is specified through the binary relation \\spadfun{<}. For example,{} one may define one derivative to be less than another by lexicographically comparing first the \\spadfun{order},{} then the given order of the differential indeterminates appearing in the derivatives. This is the default implementation. \\blankline The notion of weight generalizes that of degree. A polynomial domain may be made into a graded ring if a weight function is given on the set of indeterminates,{} Very often,{} a grading is the first step in ordering the set of monomials. For differential polynomial domains,{} this constructor provides a function \\spadfun{weight},{} which allows the assignment of a non-negative number to each derivative of a differential indeterminate. For example,{} one may define the weight of a derivative to be simply its \\spadfun{order} (this is the default assignment). This weight function can then be extended to the set of all differential polynomials,{} providing a graded ring structure.")) (|coerce| (($ |#2|) "\\spad{coerce(s)} returns \\spad{s},{} viewed as the zero-th order derivative of \\spad{s}.")) (|weight| (((|NonNegativeInteger|) $) "\\spad{weight(v)} returns the weight of the derivative \\spad{v}.")) (|variable| ((|#2| $) "\\spad{variable(v)} returns \\spad{s} if \\spad{v} is any derivative of the differential indeterminate \\spad{s}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(v)} returns \\spad{n} if \\spad{v} is the \\spad{n}-th derivative of any differential indeterminate.")) (|makeVariable| (($ |#2| (|NonNegativeInteger|)) "\\spad{makeVariable(s, n)} returns the \\spad{n}-th derivative of a differential indeterminate \\spad{s} as an algebraic indeterminate."))) 
 NIL 
@@ -1068,11 +1068,11 @@ NIL
 ((|constructor| (NIL "A domain used in the construction of the exterior algebra on a set \\spad{X} over a ring \\spad{R}. This domain represents the set of all ordered subsets of the set \\spad{X},{} assumed to be in correspondance with {1,{}2,{}3,{} ...}. The ordered subsets are themselves ordered lexicographically and are in bijective correspondance with an ordered basis of the exterior algebra. In this domain we are dealing strictly with the exponents of basis elements which can only be 0 or 1. \\blankline The multiplicative identity element of the exterior algebra corresponds to the empty subset of \\spad{X}. A coerce from List Integer to an ordered basis element is provided to allow the convenient input of expressions. Another exported function forgets the ordered structure and simply returns the list corresponding to an ordered subset.")) (|Nul| (($ (|NonNegativeInteger|)) "\\spad{Nul()} gives the basis element 1 for the algebra generated by \\spad{n} generators.")) (|exponents| (((|List| (|Integer|)) $) "\\spad{exponents(x)} converts a domain element into a list of zeros and ones corresponding to the exponents in the basis element that \\spad{x} represents.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(x)} gives the numbers of 1\\spad{'s} in \\spad{x},{} \\spadignore{i.e.} the number of non-zero exponents in the basis element that \\spad{x} represents.")) (|coerce| (($ (|List| (|Integer|))) "\\spad{coerce(l)} converts a list of 0\\spad{'s} and 1\\spad{'s} into a basis element,{} where 1 (respectively 0) designates that the variable of the corresponding index of \\spad{l} is (respectively,{} is not) present. Error: if an element of \\spad{l} is not 0 or 1."))) 
 NIL 
 NIL 
-(-285 R -1959) 
+(-285 R -1962) 
 ((|constructor| (NIL "Provides elementary functions over an integral domain.")) (|localReal?| (((|Boolean|) |#2|) "\\spad{localReal?(x)} should be local but conditional")) (|specialTrigs| (((|Union| |#2| "failed") |#2| (|List| (|Record| (|:| |func| |#2|) (|:| |pole| (|Boolean|))))) "\\spad{specialTrigs(x,l)} should be local but conditional")) (|iiacsch| ((|#2| |#2|) "\\spad{iiacsch(x)} should be local but conditional")) (|iiasech| ((|#2| |#2|) "\\spad{iiasech(x)} should be local but conditional")) (|iiacoth| ((|#2| |#2|) "\\spad{iiacoth(x)} should be local but conditional")) (|iiatanh| ((|#2| |#2|) "\\spad{iiatanh(x)} should be local but conditional")) (|iiacosh| ((|#2| |#2|) "\\spad{iiacosh(x)} should be local but conditional")) (|iiasinh| ((|#2| |#2|) "\\spad{iiasinh(x)} should be local but conditional")) (|iicsch| ((|#2| |#2|) "\\spad{iicsch(x)} should be local but conditional")) (|iisech| ((|#2| |#2|) "\\spad{iisech(x)} should be local but conditional")) (|iicoth| ((|#2| |#2|) "\\spad{iicoth(x)} should be local but conditional")) (|iitanh| ((|#2| |#2|) "\\spad{iitanh(x)} should be local but conditional")) (|iicosh| ((|#2| |#2|) "\\spad{iicosh(x)} should be local but conditional")) (|iisinh| ((|#2| |#2|) "\\spad{iisinh(x)} should be local but conditional")) (|iiacsc| ((|#2| |#2|) "\\spad{iiacsc(x)} should be local but conditional")) (|iiasec| ((|#2| |#2|) "\\spad{iiasec(x)} should be local but conditional")) (|iiacot| ((|#2| |#2|) "\\spad{iiacot(x)} should be local but conditional")) (|iiatan| ((|#2| |#2|) "\\spad{iiatan(x)} should be local but conditional")) (|iiacos| ((|#2| |#2|) "\\spad{iiacos(x)} should be local but conditional")) (|iiasin| ((|#2| |#2|) "\\spad{iiasin(x)} should be local but conditional")) (|iicsc| ((|#2| |#2|) "\\spad{iicsc(x)} should be local but conditional")) (|iisec| ((|#2| |#2|) "\\spad{iisec(x)} should be local but conditional")) (|iicot| ((|#2| |#2|) "\\spad{iicot(x)} should be local but conditional")) (|iitan| ((|#2| |#2|) "\\spad{iitan(x)} should be local but conditional")) (|iicos| ((|#2| |#2|) "\\spad{iicos(x)} should be local but conditional")) (|iisin| ((|#2| |#2|) "\\spad{iisin(x)} should be local but conditional")) (|iilog| ((|#2| |#2|) "\\spad{iilog(x)} should be local but conditional")) (|iiexp| ((|#2| |#2|) "\\spad{iiexp(x)} should be local but conditional")) (|iisqrt3| ((|#2|) "\\spad{iisqrt3()} should be local but conditional")) (|iisqrt2| ((|#2|) "\\spad{iisqrt2()} should be local but conditional")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(p)} returns an elementary operator with the same symbol as \\spad{p}")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(p)} returns \\spad{true} if operator \\spad{p} is elementary")) (|pi| ((|#2|) "\\spad{pi()} returns the \\spad{pi} operator")) (|acsch| ((|#2| |#2|) "\\spad{acsch(x)} applies the inverse hyperbolic cosecant operator to \\spad{x}")) (|asech| ((|#2| |#2|) "\\spad{asech(x)} applies the inverse hyperbolic secant operator to \\spad{x}")) (|acoth| ((|#2| |#2|) "\\spad{acoth(x)} applies the inverse hyperbolic cotangent operator to \\spad{x}")) (|atanh| ((|#2| |#2|) "\\spad{atanh(x)} applies the inverse hyperbolic tangent operator to \\spad{x}")) (|acosh| ((|#2| |#2|) "\\spad{acosh(x)} applies the inverse hyperbolic cosine operator to \\spad{x}")) (|asinh| ((|#2| |#2|) "\\spad{asinh(x)} applies the inverse hyperbolic sine operator to \\spad{x}")) (|csch| ((|#2| |#2|) "\\spad{csch(x)} applies the hyperbolic cosecant operator to \\spad{x}")) (|sech| ((|#2| |#2|) "\\spad{sech(x)} applies the hyperbolic secant operator to \\spad{x}")) (|coth| ((|#2| |#2|) "\\spad{coth(x)} applies the hyperbolic cotangent operator to \\spad{x}")) (|tanh| ((|#2| |#2|) "\\spad{tanh(x)} applies the hyperbolic tangent operator to \\spad{x}")) (|cosh| ((|#2| |#2|) "\\spad{cosh(x)} applies the hyperbolic cosine operator to \\spad{x}")) (|sinh| ((|#2| |#2|) "\\spad{sinh(x)} applies the hyperbolic sine operator to \\spad{x}")) (|acsc| ((|#2| |#2|) "\\spad{acsc(x)} applies the inverse cosecant operator to \\spad{x}")) (|asec| ((|#2| |#2|) "\\spad{asec(x)} applies the inverse secant operator to \\spad{x}")) (|acot| ((|#2| |#2|) "\\spad{acot(x)} applies the inverse cotangent operator to \\spad{x}")) (|atan| ((|#2| |#2|) "\\spad{atan(x)} applies the inverse tangent operator to \\spad{x}")) (|acos| ((|#2| |#2|) "\\spad{acos(x)} applies the inverse cosine operator to \\spad{x}")) (|asin| ((|#2| |#2|) "\\spad{asin(x)} applies the inverse sine operator to \\spad{x}")) (|csc| ((|#2| |#2|) "\\spad{csc(x)} applies the cosecant operator to \\spad{x}")) (|sec| ((|#2| |#2|) "\\spad{sec(x)} applies the secant operator to \\spad{x}")) (|cot| ((|#2| |#2|) "\\spad{cot(x)} applies the cotangent operator to \\spad{x}")) (|tan| ((|#2| |#2|) "\\spad{tan(x)} applies the tangent operator to \\spad{x}")) (|cos| ((|#2| |#2|) "\\spad{cos(x)} applies the cosine operator to \\spad{x}")) (|sin| ((|#2| |#2|) "\\spad{sin(x)} applies the sine operator to \\spad{x}")) (|log| ((|#2| |#2|) "\\spad{log(x)} applies the logarithm operator to \\spad{x}")) (|exp| ((|#2| |#2|) "\\spad{exp(x)} applies the exponential operator to \\spad{x}"))) 
 NIL 
 NIL 
-(-286 R -1959) 
+(-286 R -1962) 
 ((|constructor| (NIL "ElementaryFunctionStructurePackage provides functions to test the algebraic independence of various elementary functions,{} using the Risch structure theorem (real and complex versions). It also provides transformations on elementary functions which are not considered simplifications.")) (|tanQ| ((|#2| (|Fraction| (|Integer|)) |#2|) "\\spad{tanQ(q,a)} is a local function with a conditional implementation.")) (|rootNormalize| ((|#2| |#2| (|Kernel| |#2|)) "\\spad{rootNormalize(f, k)} returns \\spad{f} rewriting either \\spad{k} which must be an \\spad{n}th-root in terms of radicals already in \\spad{f},{} or some radicals in \\spad{f} in terms of \\spad{k}.")) (|validExponential| (((|Union| |#2| "failed") (|List| (|Kernel| |#2|)) |#2| (|Symbol|)) "\\spad{validExponential([k1,...,kn],f,x)} returns \\spad{g} if \\spad{exp(f)=g} and \\spad{g} involves only \\spad{k1...kn},{} and \"failed\" otherwise.")) (|realElementary| ((|#2| |#2| (|Symbol|)) "\\spad{realElementary(f,x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 4 fundamental real transcendental elementary functions: \\spad{log, exp, tan, atan}.") ((|#2| |#2|) "\\spad{realElementary(f)} rewrites \\spad{f} in terms of the 4 fundamental real transcendental elementary functions: \\spad{log, exp, tan, atan}.")) (|rischNormalize| (((|Record| (|:| |func| |#2|) (|:| |kers| (|List| (|Kernel| |#2|))) (|:| |vals| (|List| |#2|))) |#2| (|Symbol|)) "\\spad{rischNormalize(f, x)} returns \\spad{[g, [k1,...,kn], [h1,...,hn]]} such that \\spad{g = normalize(f, x)} and each \\spad{ki} was rewritten as \\spad{hi} during the normalization.")) (|normalize| ((|#2| |#2| (|Symbol|)) "\\spad{normalize(f, x)} rewrites \\spad{f} using the least possible number of real algebraically independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{normalize(f)} rewrites \\spad{f} using the least possible number of real algebraically independent kernels."))) 
 NIL 
 NIL 
@@ -1098,7 +1098,7 @@ NIL
 ((|HasCategory| |#2| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-1121)))) 
 (-292 S) 
 ((|constructor| (NIL "An extensible aggregate is one which allows insertion and deletion of entries. These aggregates are models of lists and streams which are represented by linked structures so as to make insertion,{} deletion,{} and concatenation efficient. However,{} access to elements of these extensible aggregates is generally slow since access is made from the end. See \\spadtype{FlexibleArray} for an exception.")) (|removeDuplicates!| (($ $) "\\spad{removeDuplicates!(u)} destructively removes duplicates from \\spad{u}.")) (|select!| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{select!(p,u)} destructively changes \\spad{u} by keeping only values \\spad{x} such that \\axiom{\\spad{p}(\\spad{x})}.")) (|merge!| (($ $ $) "\\spad{merge!(u,v)} destructively merges \\spad{u} and \\spad{v} in ascending order.") (($ (|Mapping| (|Boolean|) |#1| |#1|) $ $) "\\spad{merge!(p,u,v)} destructively merges \\spad{u} and \\spad{v} using predicate \\spad{p}.")) (|insert!| (($ $ $ (|Integer|)) "\\spad{insert!(v,u,i)} destructively inserts aggregate \\spad{v} into \\spad{u} at position \\spad{i}.") (($ |#1| $ (|Integer|)) "\\spad{insert!(x,u,i)} destructively inserts \\spad{x} into \\spad{u} at position \\spad{i}.")) (|remove!| (($ |#1| $) "\\spad{remove!(x,u)} destructively removes all values \\spad{x} from \\spad{u}.") (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{remove!(p,u)} destructively removes all elements \\spad{x} of \\spad{u} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}.")) (|delete!| (($ $ (|UniversalSegment| (|Integer|))) "\\spad{delete!(u,i..j)} destructively deletes elements \\spad{u}.\\spad{i} through \\spad{u}.\\spad{j}.") (($ $ (|Integer|)) "\\spad{delete!(u,i)} destructively deletes the \\axiom{\\spad{i}}th element of \\spad{u}.")) (|concat!| (($ $ $) "\\spad{concat!(u,v)} destructively appends \\spad{v} to the end of \\spad{u}. \\spad{v} is unchanged") (($ $ |#1|) "\\spad{concat!(u,x)} destructively adds element \\spad{x} to the end of \\spad{u}."))) 
-((-4465 . T)) 
+((-4466 . T)) 
 NIL 
 (-293 S) 
 ((|constructor| (NIL "Category for the elementary functions.")) (** (($ $ $) "\\spad{x**y} returns \\spad{x} to the power \\spad{y}.")) (|exp| (($ $) "\\spad{exp(x)} returns \\%\\spad{e} to the power \\spad{x}.")) (|log| (($ $) "\\spad{log(x)} returns the natural logarithm of \\spad{x}."))) 
@@ -1119,18 +1119,18 @@ NIL
 (-297 S |Dom| |Im|) 
 ((|constructor| (NIL "An eltable aggregate is one which can be viewed as a function. For example,{} the list \\axiom{[1,{}7,{}4]} can applied to 0,{}1,{} and 2 respectively will return the integers 1,{}7,{} and 4; thus this list may be viewed as mapping 0 to 1,{} 1 to 7 and 2 to 4. In general,{} an aggregate can map members of a domain {\\em Dom} to an image domain {\\em Im}.")) (|qsetelt!| ((|#3| $ |#2| |#3|) "\\spad{qsetelt!(u,x,y)} sets the image of \\axiom{\\spad{x}} to be \\axiom{\\spad{y}} under \\axiom{\\spad{u}},{} without checking that \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}}. If such a check is required use the function \\axiom{setelt}.")) (|setelt| ((|#3| $ |#2| |#3|) "\\spad{setelt(u,x,y)} sets the image of \\spad{x} to be \\spad{y} under \\spad{u},{} assuming \\spad{x} is in the domain of \\spad{u}. Error: if \\spad{x} is not in the domain of \\spad{u}.")) (|qelt| ((|#3| $ |#2|) "\\spad{qelt(u, x)} applies \\axiom{\\spad{u}} to \\axiom{\\spad{x}} without checking whether \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}}. If \\axiom{\\spad{x}} is not in the domain of \\axiom{\\spad{u}} a memory-access violation may occur. If a check on whether \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}} is required,{} use the function \\axiom{elt}.")) (|elt| ((|#3| $ |#2| |#3|) "\\spad{elt(u, x, y)} applies \\spad{u} to \\spad{x} if \\spad{x} is in the domain of \\spad{u},{} and returns \\spad{y} otherwise. For example,{} if \\spad{u} is a polynomial in \\axiom{\\spad{x}} over the rationals,{} \\axiom{elt(\\spad{u},{}\\spad{n},{}0)} may define the coefficient of \\axiom{\\spad{x}} to the power \\spad{n},{} returning 0 when \\spad{n} is out of range."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4465))) 
+((|HasAttribute| |#1| (QUOTE -4466))) 
 (-298 |Dom| |Im|) 
 ((|constructor| (NIL "An eltable aggregate is one which can be viewed as a function. For example,{} the list \\axiom{[1,{}7,{}4]} can applied to 0,{}1,{} and 2 respectively will return the integers 1,{}7,{} and 4; thus this list may be viewed as mapping 0 to 1,{} 1 to 7 and 2 to 4. In general,{} an aggregate can map members of a domain {\\em Dom} to an image domain {\\em Im}.")) (|qsetelt!| ((|#2| $ |#1| |#2|) "\\spad{qsetelt!(u,x,y)} sets the image of \\axiom{\\spad{x}} to be \\axiom{\\spad{y}} under \\axiom{\\spad{u}},{} without checking that \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}}. If such a check is required use the function \\axiom{setelt}.")) (|setelt| ((|#2| $ |#1| |#2|) "\\spad{setelt(u,x,y)} sets the image of \\spad{x} to be \\spad{y} under \\spad{u},{} assuming \\spad{x} is in the domain of \\spad{u}. Error: if \\spad{x} is not in the domain of \\spad{u}.")) (|qelt| ((|#2| $ |#1|) "\\spad{qelt(u, x)} applies \\axiom{\\spad{u}} to \\axiom{\\spad{x}} without checking whether \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}}. If \\axiom{\\spad{x}} is not in the domain of \\axiom{\\spad{u}} a memory-access violation may occur. If a check on whether \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}} is required,{} use the function \\axiom{elt}.")) (|elt| ((|#2| $ |#1| |#2|) "\\spad{elt(u, x, y)} applies \\spad{u} to \\spad{x} if \\spad{x} is in the domain of \\spad{u},{} and returns \\spad{y} otherwise. For example,{} if \\spad{u} is a polynomial in \\axiom{\\spad{x}} over the rationals,{} \\axiom{elt(\\spad{u},{}\\spad{n},{}0)} may define the coefficient of \\axiom{\\spad{x}} to the power \\spad{n},{} returning 0 when \\spad{n} is out of range."))) 
 NIL 
 NIL 
-(-299 S R |Mod| -2391 -4335 |exactQuo|) 
+(-299 S R |Mod| -1765 -3391 |exactQuo|) 
 ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{ModularRing},{} \\spadtype{ModularField}")) (|inv| (($ $) "\\spad{inv(x)} \\undocumented")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} \\undocumented")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,y)} \\undocumented")) (|reduce| (($ |#2| |#3|) "\\spad{reduce(r,m)} \\undocumented")) (|coerce| ((|#2| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#3| $) "\\spad{modulus(x)} \\undocumented"))) 
-((-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-300) 
 ((|constructor| (NIL "Entire Rings (non-commutative Integral Domains),{} \\spadignore{i.e.} a ring not necessarily commutative which has no zero divisors. \\blankline")) (|noZeroDivisors| ((|attribute|) "if a product is zero then one of the factors must be zero."))) 
-((-4457 . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4458 . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-301) 
 ((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: March 18,{} 2010. An `Environment' is a stack of scope.")) (|categoryFrame| (($) "the current category environment in the interpreter.")) (|interactiveEnv| (($) "the current interactive environment in effect.")) (|currentEnv| (($) "the current normal environment in effect.")) (|putProperties| (($ (|Identifier|) (|List| (|Property|)) $) "\\spad{putProperties(n,props,e)} set the list of properties of \\spad{n} to \\spad{props} in \\spad{e}.")) (|getProperties| (((|List| (|Property|)) (|Identifier|) $) "\\spad{getBinding(n,e)} returns the list of properties of \\spad{n} in \\spad{e}.")) (|putProperty| (($ (|Identifier|) (|Identifier|) (|SExpression|) $) "\\spad{putProperty(n,p,v,e)} binds the property \\spad{(p,v)} to \\spad{n} in the topmost scope of \\spad{e}.")) (|getProperty| (((|Maybe| (|SExpression|)) (|Identifier|) (|Identifier|) $) "\\spad{getProperty(n,p,e)} returns the value of property with name \\spad{p} for the symbol \\spad{n} in environment \\spad{e}. Otherwise,{} \\spad{nothing}.")) (|scopes| (((|List| (|Scope|)) $) "\\spad{scopes(e)} returns the stack of scopes in environment \\spad{e}.")) (|empty| (($) "\\spad{empty()} constructs an empty environment"))) 
@@ -1146,21 +1146,21 @@ NIL
 NIL 
 (-304 S) 
 ((|constructor| (NIL "Equations as mathematical objects. All properties of the basis domain,{} \\spadignore{e.g.} being an abelian group are carried over the equation domain,{} by performing the structural operations on the left and on the right hand side.")) (|subst| (($ $ $) "\\spad{subst(eq1,eq2)} substitutes \\spad{eq2} into both sides of \\spad{eq1} the \\spad{lhs} of \\spad{eq2} should be a kernel")) (|inv| (($ $) "\\spad{inv(x)} returns the multiplicative inverse of \\spad{x}.")) (/ (($ $ $) "\\spad{e1/e2} produces a new equation by dividing the left and right hand sides of equations e1 and e2.")) (|factorAndSplit| (((|List| $) $) "\\spad{factorAndSplit(eq)} make the right hand side 0 and factors the new left hand side. Each factor is equated to 0 and put into the resulting list without repetitions.")) (|rightOne| (((|Union| $ "failed") $) "\\spad{rightOne(eq)} divides by the right hand side.") (((|Union| $ "failed") $) "\\spad{rightOne(eq)} divides by the right hand side,{} if possible.")) (|leftOne| (((|Union| $ "failed") $) "\\spad{leftOne(eq)} divides by the left hand side.") (((|Union| $ "failed") $) "\\spad{leftOne(eq)} divides by the left hand side,{} if possible.")) (* (($ $ |#1|) "\\spad{eqn*x} produces a new equation by multiplying both sides of equation eqn by \\spad{x}.") (($ |#1| $) "\\spad{x*eqn} produces a new equation by multiplying both sides of equation eqn by \\spad{x}.")) (- (($ $ |#1|) "\\spad{eqn-x} produces a new equation by subtracting \\spad{x} from both sides of equation eqn.") (($ |#1| $) "\\spad{x-eqn} produces a new equation by subtracting both sides of equation eqn from \\spad{x}.")) (|rightZero| (($ $) "\\spad{rightZero(eq)} subtracts the right hand side.")) (|leftZero| (($ $) "\\spad{leftZero(eq)} subtracts the left hand side.")) (+ (($ $ |#1|) "\\spad{eqn+x} produces a new equation by adding \\spad{x} to both sides of equation eqn.") (($ |#1| $) "\\spad{x+eqn} produces a new equation by adding \\spad{x} to both sides of equation eqn.")) (|eval| (($ $ (|List| $)) "\\spad{eval(eqn, [x1=v1, ... xn=vn])} replaces \\spad{xi} by \\spad{vi} in equation \\spad{eqn}.") (($ $ $) "\\spad{eval(eqn, x=f)} replaces \\spad{x} by \\spad{f} in equation \\spad{eqn}.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,eqn)} constructs a new equation by applying \\spad{f} to both sides of \\spad{eqn}.")) (|rhs| ((|#1| $) "\\spad{rhs(eqn)} returns the right hand side of equation \\spad{eqn}.")) (|lhs| ((|#1| $) "\\spad{lhs(eqn)} returns the left hand side of equation \\spad{eqn}.")) (|swap| (($ $) "\\spad{swap(eq)} interchanges left and right hand side of equation \\spad{eq}.")) (|equation| (($ |#1| |#1|) "\\spad{equation(a,b)} creates an equation.")) (= (($ |#1| |#1|) "\\spad{a=b} creates an equation."))) 
-((-4461 -2758 (|has| |#1| (-1070)) (|has| |#1| (-485))) (-4458 |has| |#1| (-1070)) (-4459 |has| |#1| (-1070))) 
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+((-4462 -2760 (|has| |#1| (-1070)) (|has| |#1| (-485))) (-4459 |has| |#1| (-1070)) (-4460 |has| |#1| (-1070))) 
+((|HasCategory| |#1| (QUOTE (-374))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-1070)))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-1070))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (-2760 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-1070)))) (-2760 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-1070)))) (-2760 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-1070)))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-1070)))) (-2760 (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#1| (QUOTE (-738)))) (|HasCategory| |#1| (QUOTE (-485))) (-2760 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1070))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-312))) (-2760 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-485)))) (-2760 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738)))) (-2760 (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#1| (QUOTE (-1070)))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-738)))) 
 (-305 |Key| |Entry|) 
 ((|constructor| (NIL "This domain provides tables where the keys are compared using \\spadfun{eq?}. Thus keys are considered equal only if they are the same instance of a structure."))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4300) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4438) (|devaluate| |#2|)))))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-1121))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-102)))) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4301) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4440) (|devaluate| |#2|)))))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-1121))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102)))) 
 (-306) 
 ((|constructor| (NIL "ErrorFunctions implements error functions callable from the system interpreter. Typically,{} these functions would be called in user functions. The simple forms of the functions take one argument which is either a string (an error message) or a list of strings which all together make up a message. The list can contain formatting codes (see below). The more sophisticated versions takes two arguments where the first argument is the name of the function from which the error was invoked and the second argument is either a string or a list of strings,{} as above. When you use the one argument version in an interpreter function,{} the system will automatically insert the name of the function as the new first argument. Thus in the user interpreter function \\indented{2}{\\spad{f x == if x < 0 then error \"negative argument\" else x}} the call to error will actually be of the form \\indented{2}{\\spad{error(\"f\",\"negative argument\")}} because the interpreter will have created a new first argument. \\blankline Formatting codes: error messages may contain the following formatting codes (they should either start or end a string or else have blanks around them): \\indented{3}{\\spad{\\%l}\\space{6}start a new line} \\indented{3}{\\spad{\\%b}\\space{6}start printing in a bold font (where available)} \\indented{3}{\\spad{\\%d}\\space{6}stop\\space{2}printing in a bold font (where available)} \\indented{3}{\\spad{ \\%ceon}\\space{2}start centering message lines} \\indented{3}{\\spad{\\%ceoff}\\space{2}stop\\space{2}centering message lines} \\indented{3}{\\spad{\\%rjon}\\space{3}start displaying lines \"ragged left\"} \\indented{3}{\\spad{\\%rjoff}\\space{2}stop\\space{2}displaying lines \"ragged left\"} \\indented{3}{\\spad{\\%i}\\space{6}indent\\space{3}following lines 3 additional spaces} \\indented{3}{\\spad{\\%u}\\space{6}unindent following lines 3 additional spaces} \\indented{3}{\\spad{\\%xN}\\space{5}insert \\spad{N} blanks (eg,{} \\spad{\\%x10} inserts 10 blanks)} \\blankline")) (|error| (((|Exit|) (|String|) (|List| (|String|))) "\\spad{error(nam,lmsg)} displays error messages \\spad{lmsg} preceded by a message containing the name \\spad{nam} of the function in which the error is contained.") (((|Exit|) (|String|) (|String|)) "\\spad{error(nam,msg)} displays error message \\spad{msg} preceded by a message containing the name \\spad{nam} of the function in which the error is contained.") (((|Exit|) (|List| (|String|))) "\\spad{error(lmsg)} displays error message \\spad{lmsg} and terminates.") (((|Exit|) (|String|)) "\\spad{error(msg)} displays error message \\spad{msg} and terminates."))) 
 NIL 
 NIL 
-(-307 -1959 S) 
+(-307 -1962 S) 
 ((|constructor| (NIL "This package allows a map from any expression space into any object to be lifted to a kernel over the expression set,{} using a given property of the operator of the kernel.")) (|map| ((|#2| (|Mapping| |#2| |#1|) (|String|) (|Kernel| |#1|)) "\\spad{map(f, p, k)} uses the property \\spad{p} of the operator of \\spad{k},{} in order to lift \\spad{f} and apply it to \\spad{k}."))) 
 NIL 
 NIL 
-(-308 E -1959) 
+(-308 E -1962) 
 ((|constructor| (NIL "This package allows a mapping \\spad{E} \\spad{->} \\spad{F} to be lifted to a kernel over \\spad{E}; This lifting can fail if the operator of the kernel cannot be applied in \\spad{F}; Do not use this package with \\spad{E} = \\spad{F},{} since this may drop some properties of the operators.")) (|map| ((|#2| (|Mapping| |#2| |#1|) (|Kernel| |#1|)) "\\spad{map(f, k)} returns \\spad{g = op(f(a1),...,f(an))} where \\spad{k = op(a1,...,an)}."))) 
 NIL 
 NIL 
@@ -1198,7 +1198,7 @@ NIL
 NIL 
 (-317) 
 ((|constructor| (NIL "A constructive euclidean domain,{} \\spadignore{i.e.} one can divide producing a quotient and a remainder where the remainder is either zero or is smaller (\\spadfun{euclideanSize}) than the divisor. \\blankline Conditional attributes: \\indented{2}{multiplicativeValuation\\tab{25}\\spad{Size(a*b)=Size(a)*Size(b)}} \\indented{2}{additiveValuation\\tab{25}\\spad{Size(a*b)=Size(a)+Size(b)}}")) (|multiEuclidean| (((|Union| (|List| $) "failed") (|List| $) $) "\\spad{multiEuclidean([f1,...,fn],z)} returns a list of coefficients \\spad{[a1, ..., an]} such that \\spad{ z / prod fi = sum aj/fj}. If no such list of coefficients exists,{} \"failed\" is returned.")) (|extendedEuclidean| (((|Union| (|Record| (|:| |coef1| $) (|:| |coef2| $)) "failed") $ $ $) "\\spad{extendedEuclidean(x,y,z)} either returns a record rec where \\spad{rec.coef1*x+rec.coef2*y=z} or returns \"failed\" if \\spad{z} cannot be expressed as a linear combination of \\spad{x} and \\spad{y}.") (((|Record| (|:| |coef1| $) (|:| |coef2| $) (|:| |generator| $)) $ $) "\\spad{extendedEuclidean(x,y)} returns a record rec where \\spad{rec.coef1*x+rec.coef2*y = rec.generator} and rec.generator is a \\spad{gcd} of \\spad{x} and \\spad{y}. The \\spad{gcd} is unique only up to associates if \\spadatt{canonicalUnitNormal} is not asserted. \\spadfun{principalIdeal} provides a version of this operation which accepts an arbitrary length list of arguments.")) (|rem| (($ $ $) "\\spad{x rem y} is the same as \\spad{divide(x,y).remainder}. See \\spadfunFrom{divide}{EuclideanDomain}.")) (|quo| (($ $ $) "\\spad{x quo y} is the same as \\spad{divide(x,y).quotient}. See \\spadfunFrom{divide}{EuclideanDomain}.")) (|divide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{divide(x,y)} divides \\spad{x} by \\spad{y} producing a record containing a \\spad{quotient} and \\spad{remainder},{} where the remainder is smaller (see \\spadfunFrom{sizeLess?}{EuclideanDomain}) than the divisor \\spad{y}.")) (|euclideanSize| (((|NonNegativeInteger|) $) "\\spad{euclideanSize(x)} returns the euclidean size of the element \\spad{x}. Error: if \\spad{x} is zero.")) (|sizeLess?| (((|Boolean|) $ $) "\\spad{sizeLess?(x,y)} tests whether \\spad{x} is strictly smaller than \\spad{y} with respect to the \\spadfunFrom{euclideanSize}{EuclideanDomain}."))) 
-((-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-318 S R) 
 ((|constructor| (NIL "This category provides \\spadfun{eval} operations. A domain may belong to this category if it is possible to make ``evaluation\\spad{''} substitutions.")) (|eval| (($ $ (|List| (|Equation| |#2|))) "\\spad{eval(f, [x1 = v1,...,xn = vn])} replaces \\spad{xi} by \\spad{vi} in \\spad{f}.") (($ $ (|Equation| |#2|)) "\\spad{eval(f,x = v)} replaces \\spad{x} by \\spad{v} in \\spad{f}."))) 
@@ -1208,7 +1208,7 @@ NIL
 ((|constructor| (NIL "This category provides \\spadfun{eval} operations. A domain may belong to this category if it is possible to make ``evaluation\\spad{''} substitutions.")) (|eval| (($ $ (|List| (|Equation| |#1|))) "\\spad{eval(f, [x1 = v1,...,xn = vn])} replaces \\spad{xi} by \\spad{vi} in \\spad{f}.") (($ $ (|Equation| |#1|)) "\\spad{eval(f,x = v)} replaces \\spad{x} by \\spad{v} in \\spad{f}."))) 
 NIL 
 NIL 
-(-320 -1959) 
+(-320 -1962) 
 ((|constructor| (NIL "This package is to be used in conjuction with \\indented{12}{the CycleIndicators package. It provides an evaluation} \\indented{12}{function for SymmetricPolynomials.}")) (|eval| ((|#1| (|Mapping| |#1| (|Integer|)) (|SymmetricPolynomial| (|Fraction| (|Integer|)))) "\\spad{eval(f,s)} evaluates the cycle index \\spad{s} by applying \\indented{1}{the function \\spad{f} to each integer in a monomial partition,{}} \\indented{1}{forms their product and sums the results over all monomials.}"))) 
 NIL 
 NIL 
@@ -1222,8 +1222,8 @@ NIL
 NIL 
 (-323 R FE |var| |cen|) 
 ((|constructor| (NIL "UnivariatePuiseuxSeriesWithExponentialSingularity is a domain used to represent essential singularities of functions. Objects in this domain are quotients of sums,{} where each term in the sum is a univariate Puiseux series times the exponential of a univariate Puiseux series.")) (|coerce| (($ (|UnivariatePuiseuxSeries| |#2| |#3| |#4|)) "\\spad{coerce(f)} converts a \\spadtype{UnivariatePuiseuxSeries} to an \\spadtype{ExponentialExpansion}.")) (|limitPlus| (((|Union| (|OrderedCompletion| |#2|) "failed") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> a+,f(var))}."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
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+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
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 (-324 R S) 
 ((|constructor| (NIL "Lifting of maps to Expressions. Date Created: 16 Jan 1989 Date Last Updated: 22 Jan 1990")) (|map| (((|Expression| |#2|) (|Mapping| |#2| |#1|) (|Expression| |#1|)) "\\spad{map(f, e)} applies \\spad{f} to all the constants appearing in \\spad{e}."))) 
 NIL 
@@ -1234,9 +1234,9 @@ NIL
 NIL 
 (-326 R) 
 ((|constructor| (NIL "Expressions involving symbolic functions.")) (|squareFreePolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{squareFreePolynomial(p)} \\undocumented{}")) (|factorPolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{factorPolynomial(p)} \\undocumented{}")) (|simplifyPower| (($ $ (|Integer|)) "simplifyPower?(\\spad{f},{}\\spad{n}) \\undocumented{}")) (|number?| (((|Boolean|) $) "\\spad{number?(f)} tests if \\spad{f} is rational")) (|reduce| (($ $) "\\spad{reduce(f)} simplifies all the unreduced algebraic quantities present in \\spad{f} by applying their defining relations."))) 
-((-4461 -2758 (-12 (|has| |#1| (-568)) (-2758 (|has| |#1| (-1070)) (|has| |#1| (-485)))) (|has| |#1| (-1070)) (|has| |#1| (-485))) (-4459 |has| |#1| (-174)) (-4458 |has| |#1| (-174)) ((-4466 "*") |has| |#1| (-568)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-568)) (-4456 |has| |#1| (-568))) 
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-(-327 R -1959) 
+((-4462 -2760 (-12 (|has| |#1| (-568)) (-2760 (|has| |#1| (-1070)) (|has| |#1| (-485)))) (|has| |#1| (-1070)) (|has| |#1| (-485))) (-4460 |has| |#1| (-174)) (-4459 |has| |#1| (-174)) ((-4467 "*") |has| |#1| (-568)) (-4458 |has| |#1| (-568)) (-4463 |has| |#1| (-568)) (-4457 |has| |#1| (-568))) 
+((-2760 (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))))) (|HasCategory| |#1| (QUOTE (-568))) (-2760 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-1070)))) (|HasCategory| |#1| (QUOTE (-21))) (-2760 (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-1070)))) (|HasCategory| |#1| (QUOTE (-1070))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-1070))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))))) (-2760 (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2760 (|HasCategory| |#1| (QUOTE (-1070))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (-2760 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-1070)))) (-2760 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-1070)))) (-2760 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-1070)))) (-12 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568)))) (-2760 (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (QUOTE (-1070))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576))))) (-2760 (|HasCategory| |#1| (QUOTE (-21))) (-12 (|HasCategory| |#1| (QUOTE (-1070))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))))) (-2760 (|HasCategory| |#1| (QUOTE (-25))) (-12 (|HasCategory| |#1| (QUOTE (-1070))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2760 (|HasCategory| |#1| (QUOTE (-25))) (-12 (|HasCategory| |#1| (QUOTE (-1070))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))))) (-2760 (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#1| (QUOTE (-1070)))) (-2760 (-12 (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| $ (QUOTE (-1070))) (|HasCategory| $ (LIST (QUOTE -1059) (QUOTE (-576))))) 
+(-327 R -1962) 
 ((|constructor| (NIL "Taylor series solutions of explicit ODE\\spad{'s}.")) (|seriesSolve| (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve(eq, y, x = a, [b0,...,bn])} is equivalent to \\spad{seriesSolve(eq = 0, y, x = a, [b0,...,b(n-1)])}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|Equation| |#2|)) "\\spad{seriesSolve(eq, y, x = a, y a = b)} is equivalent to \\spad{seriesSolve(eq=0, y, x=a, y a = b)}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq, y, x = a, b)} is equivalent to \\spad{seriesSolve(eq = 0, y, x = a, y a = b)}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq,y, x=a, b)} is equivalent to \\spad{seriesSolve(eq, y, x=a, y a = b)}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "\\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x = a,[y1 a = b1,..., yn a = bn])} is equivalent to \\spad{seriesSolve([eq1=0,...,eqn=0], [y1,...,yn], x = a, [y1 a = b1,..., yn a = bn])}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x=a, [b1,...,bn])} is equivalent to \\spad{seriesSolve([eq1=0,...,eqn=0], [y1,...,yn], x=a, [b1,...,bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x=a, [b1,...,bn])} is equivalent to \\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x = a, [y1 a = b1,..., yn a = bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "\\spad{seriesSolve([eq1,...,eqn],[y1,...,yn],x = a,[y1 a = b1,...,yn a = bn])} returns a taylor series solution of \\spad{[eq1,...,eqn]} around \\spad{x = a} with initial conditions \\spad{yi(a) = bi}. Note: eqi must be of the form \\spad{fi(x, y1 x, y2 x,..., yn x) y1'(x) + gi(x, y1 x, y2 x,..., yn x) = h(x, y1 x, y2 x,..., yn x)}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve(eq,y,x=a,[b0,...,b(n-1)])} returns a Taylor series solution of \\spad{eq} around \\spad{x = a} with initial conditions \\spad{y(a) = b0},{} \\spad{y'(a) = b1},{} \\spad{y''(a) = b2},{} ...,{}\\spad{y(n-1)(a) = b(n-1)} \\spad{eq} must be of the form \\spad{f(x, y x, y'(x),..., y(n-1)(x)) y(n)(x) + g(x,y x,y'(x),...,y(n-1)(x)) = h(x,y x, y'(x),..., y(n-1)(x))}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|Equation| |#2|)) "\\spad{seriesSolve(eq,y,x=a, y a = b)} returns a Taylor series solution of \\spad{eq} around \\spad{x} = a with initial condition \\spad{y(a) = b}. Note: \\spad{eq} must be of the form \\spad{f(x, y x) y'(x) + g(x, y x) = h(x, y x)}."))) 
 NIL 
 NIL 
@@ -1246,8 +1246,8 @@ NIL
 NIL 
 (-329 FE |var| |cen|) 
 ((|constructor| (NIL "ExponentialOfUnivariatePuiseuxSeries is a domain used to represent essential singularities of functions. An object in this domain is a function of the form \\spad{exp(f(x))},{} where \\spad{f(x)} is a Puiseux series with no terms of non-negative degree. Objects are ordered according to order of singularity,{} with functions which tend more rapidly to zero or infinity considered to be larger. Thus,{} if \\spad{order(f(x)) < order(g(x))},{} \\spadignore{i.e.} the first non-zero term of \\spad{f(x)} has lower degree than the first non-zero term of \\spad{g(x)},{} then \\spad{exp(f(x)) > exp(g(x))}. If \\spad{order(f(x)) = order(g(x))},{} then the ordering is essentially random. This domain is used in computing limits involving functions with essential singularities.")) (|exponentialOrder| (((|Fraction| (|Integer|)) $) "\\spad{exponentialOrder(exp(c * x **(-n) + ...))} returns \\spad{-n}. exponentialOrder(0) returns \\spad{0}.")) (|exponent| (((|UnivariatePuiseuxSeries| |#1| |#2| |#3|) $) "\\spad{exponent(exp(f(x)))} returns \\spad{f(x)}")) (|exponential| (($ (|UnivariatePuiseuxSeries| |#1| |#2| |#3|)) "\\spad{exponential(f(x))} returns \\spad{exp(f(x))}. Note: the function does NOT check that \\spad{f(x)} has no non-negative terms."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4458 . T) (-4459 . T) (-4461 . T)) 
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 (-330 M) 
 ((|constructor| (NIL "computes various functions on factored arguments.")) (|log| (((|List| (|Record| (|:| |coef| (|NonNegativeInteger|)) (|:| |logand| |#1|))) (|Factored| |#1|)) "\\spad{log(f)} returns \\spad{[(a1,b1),...,(am,bm)]} such that the logarithm of \\spad{f} is equal to \\spad{a1*log(b1) + ... + am*log(bm)}.")) (|nthRoot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#1|) (|:| |radicand| (|List| |#1|))) (|Factored| |#1|) (|NonNegativeInteger|)) "\\spad{nthRoot(f, n)} returns \\spad{(p, r, [r1,...,rm])} such that the \\spad{n}th-root of \\spad{f} is equal to \\spad{r * \\spad{p}th-root(r1 * ... * rm)},{} where \\spad{r1},{}...,{}\\spad{rm} are distinct factors of \\spad{f},{} each of which has an exponent smaller than \\spad{p} in \\spad{f}."))) 
 NIL 
@@ -1258,7 +1258,7 @@ NIL
 NIL 
 (-332 S) 
 ((|constructor| (NIL "The free abelian group on a set \\spad{S} is the monoid of finite sums of the form \\spad{reduce(+,[ni * si])} where the \\spad{si}\\spad{'s} are in \\spad{S},{} and the \\spad{ni}\\spad{'s} are integers. The operation is commutative."))) 
-((-4459 . T) (-4458 . T)) 
+((-4460 . T) (-4459 . T)) 
 ((|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| (-576) (QUOTE (-804)))) 
 (-333 S E) 
 ((|constructor| (NIL "A free abelian monoid on a set \\spad{S} is the monoid of finite sums of the form \\spad{reduce(+,[ni * si])} where the \\spad{si}\\spad{'s} are in \\spad{S},{} and the \\spad{ni}\\spad{'s} are in a given abelian monoid. The operation is commutative.")) (|highCommonTerms| (($ $ $) "\\spad{highCommonTerms(e1 a1 + ... + en an, f1 b1 + ... + fm bm)} returns \\indented{2}{\\spad{reduce(+,[max(ei, fi) ci])}} where \\spad{ci} ranges in the intersection of \\spad{{a1,...,an}} and \\spad{{b1,...,bm}}.")) (|mapGen| (($ (|Mapping| |#1| |#1|) $) "\\spad{mapGen(f, e1 a1 +...+ en an)} returns \\spad{e1 f(a1) +...+ en f(an)}.")) (|mapCoef| (($ (|Mapping| |#2| |#2|) $) "\\spad{mapCoef(f, e1 a1 +...+ en an)} returns \\spad{f(e1) a1 +...+ f(en) an}.")) (|coefficient| ((|#2| |#1| $) "\\spad{coefficient(s, e1 a1 + ... + en an)} returns \\spad{ei} such that \\spad{ai} = \\spad{s},{} or 0 if \\spad{s} is not one of the \\spad{ai}\\spad{'s}.")) (|nthFactor| ((|#1| $ (|Integer|)) "\\spad{nthFactor(x, n)} returns the factor of the n^th term of \\spad{x}.")) (|nthCoef| ((|#2| $ (|Integer|)) "\\spad{nthCoef(x, n)} returns the coefficient of the n^th term of \\spad{x}.")) (|terms| (((|List| (|Record| (|:| |gen| |#1|) (|:| |exp| |#2|))) $) "\\spad{terms(e1 a1 + ... + en an)} returns \\spad{[[a1, e1],...,[an, en]]}.")) (|size| (((|NonNegativeInteger|) $) "\\spad{size(x)} returns the number of terms in \\spad{x}. mapGen(\\spad{f},{} a1\\spad{\\^}e1 ... an\\spad{\\^}en) returns \\spad{f(a1)\\^e1 ... f(an)\\^en}.")) (* (($ |#2| |#1|) "\\spad{e * s} returns \\spad{e} times \\spad{s}.")) (+ (($ |#1| $) "\\spad{s + x} returns the sum of \\spad{s} and \\spad{x}."))) 
@@ -1274,19 +1274,19 @@ NIL
 ((|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174)))) 
 (-336 R E) 
 ((|constructor| (NIL "This category is similar to AbelianMonoidRing,{} except that the sum is assumed to be finite. It is a useful model for polynomials,{} but is somewhat more general.")) (|primitivePart| (($ $) "\\spad{primitivePart(p)} returns the unit normalized form of polynomial \\spad{p} divided by the content of \\spad{p}.")) (|content| ((|#1| $) "\\spad{content(p)} gives the \\spad{gcd} of the coefficients of polynomial \\spad{p}.")) (|exquo| (((|Union| $ "failed") $ |#1|) "\\spad{exquo(p,r)} returns the exact quotient of polynomial \\spad{p} by \\spad{r},{} or \"failed\" if none exists.")) (|binomThmExpt| (($ $ $ (|NonNegativeInteger|)) "\\spad{binomThmExpt(p,q,n)} returns \\spad{(x+y)^n} by means of the binomial theorem trick.")) (|pomopo!| (($ $ |#1| |#2| $) "\\spad{pomopo!(p1,r,e,p2)} returns \\spad{p1 + monomial(e,r) * p2} and may use \\spad{p1} as workspace. The constaant \\spad{r} is assumed to be nonzero.")) (|mapExponents| (($ (|Mapping| |#2| |#2|) $) "\\spad{mapExponents(fn,u)} maps function \\spad{fn} onto the exponents of the non-zero monomials of polynomial \\spad{u}.")) (|minimumDegree| ((|#2| $) "\\spad{minimumDegree(p)} gives the least exponent of a non-zero term of polynomial \\spad{p}. Error: if applied to 0.")) (|numberOfMonomials| (((|NonNegativeInteger|) $) "\\spad{numberOfMonomials(p)} gives the number of non-zero monomials in polynomial \\spad{p}.")) (|coefficients| (((|List| |#1|) $) "\\spad{coefficients(p)} gives the list of non-zero coefficients of polynomial \\spad{p}.")) (|ground| ((|#1| $) "\\spad{ground(p)} retracts polynomial \\spad{p} to the coefficient ring.")) (|ground?| (((|Boolean|) $) "\\spad{ground?(p)} tests if polynomial \\spad{p} is a member of the coefficient ring."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4458 . T) (-4459 . T) (-4461 . T)) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-337 S) 
 ((|constructor| (NIL "\\indented{1}{A FlexibleArray is the notion of an array intended to allow for growth} at the end only. Hence the following efficient operations \\indented{2}{\\spad{append(x,a)} meaning append item \\spad{x} at the end of the array \\spad{a}} \\indented{2}{\\spad{delete(a,n)} meaning delete the last item from the array \\spad{a}} Flexible arrays support the other operations inherited from \\spadtype{ExtensibleLinearAggregate}. However,{} these are not efficient. Flexible arrays combine the \\spad{O(1)} access time property of arrays with growing and shrinking at the end in \\spad{O(1)} (average) time. This is done by using an ordinary array which may have zero or more empty slots at the end. When the array becomes full it is copied into a new larger (50\\% larger) array. Conversely,{} when the array becomes less than 1/2 full,{} it is copied into a smaller array. Flexible arrays provide for an efficient implementation of many data structures in particular heaps,{} stacks and sets."))) 
-((-4465 . T) (-4464 . T)) 
-((-2758 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2758 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
-(-338 S -1959) 
+((-4466 . T) (-4465 . T)) 
+((-2760 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2760 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+(-338 S -1962) 
 ((|constructor| (NIL "FiniteAlgebraicExtensionField {\\em F} is the category of fields which are finite algebraic extensions of the field {\\em F}. If {\\em F} is finite then any finite algebraic extension of {\\em F} is finite,{} too. Let {\\em K} be a finite algebraic extension of the finite field {\\em F}. The exponentiation of elements of {\\em K} defines a \\spad{Z}-module structure on the multiplicative group of {\\em K}. The additive group of {\\em K} becomes a module over the ring of polynomials over {\\em F} via the operation \\spadfun{linearAssociatedExp}(a:K,{}f:SparseUnivariatePolynomial \\spad{F}) which is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em K},{} {\\em c,d} from {\\em F} and {\\em f,g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)} where {\\em q=size()\\$F}. The operations order and discreteLog associated with the multiplicative exponentiation have additive analogues associated to the operation \\spadfun{linearAssociatedExp}. These are the functions \\spadfun{linearAssociatedOrder} and \\spadfun{linearAssociatedLog},{} respectively.")) (|linearAssociatedLog| (((|Union| (|SparseUnivariatePolynomial| |#2|) "failed") $ $) "\\spad{linearAssociatedLog(b,a)} returns a polynomial {\\em g},{} such that the \\spadfun{linearAssociatedExp}(\\spad{b},{}\\spad{g}) equals {\\em a}. If there is no such polynomial {\\em g},{} then \\spadfun{linearAssociatedLog} fails.") (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{linearAssociatedLog(a)} returns a polynomial {\\em g},{} such that \\spadfun{linearAssociatedExp}(normalElement(),{}\\spad{g}) equals {\\em a}.")) (|linearAssociatedOrder| (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{linearAssociatedOrder(a)} retruns the monic polynomial {\\em g} of least degree,{} such that \\spadfun{linearAssociatedExp}(a,{}\\spad{g}) is 0.")) (|linearAssociatedExp| (($ $ (|SparseUnivariatePolynomial| |#2|)) "\\spad{linearAssociatedExp(a,f)} is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em \\$},{} {\\em c,d} form {\\em F} and {\\em f,g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)},{} where {\\em q=size()\\$F}.")) (|generator| (($) "\\spad{generator()} returns a root of the defining polynomial. This element generates the field as an algebra over the ground field.")) (|normal?| (((|Boolean|) $) "\\spad{normal?(a)} tests whether the element \\spad{a} is normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i), 0 <= i <= extensionDegree()-1} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Implementation according to Lidl/Niederreiter: Theorem 2.39.")) (|normalElement| (($) "\\spad{normalElement()} returns a element,{} normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i), 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. At the first call,{} the element is computed by \\spadfunFrom{createNormalElement}{FiniteAlgebraicExtensionField} then cached in a global variable. On subsequent calls,{} the element is retrieved by referencing the global variable.")) (|createNormalElement| (($) "\\spad{createNormalElement()} computes a normal element over the ground field \\spad{F},{} that is,{} \\spad{a**(q**i), 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Reference: Such an element exists Lidl/Niederreiter: Theorem 2.35.")) (|trace| (($ $ (|PositiveInteger|)) "\\spad{trace(a,d)} computes the trace of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size \\spad{q}. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: \\spad{trace(a,d) = reduce(+,[a**(q**(d*i)) for i in 0..n/d])}.") ((|#2| $) "\\spad{trace(a)} computes the trace of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|norm| (($ $ (|PositiveInteger|)) "\\spad{norm(a,d)} computes the norm of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: norm(a,{}\\spad{d}) = reduce(*,{}[a**(\\spad{q**}(d*i)) for \\spad{i} in 0..\\spad{n/d}])") ((|#2| $) "\\spad{norm(a)} computes the norm of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|degree| (((|PositiveInteger|) $) "\\spad{degree(a)} returns the degree of the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|extensionDegree| (((|PositiveInteger|)) "\\spad{extensionDegree()} returns the degree of field extension.")) (|definingPolynomial| (((|SparseUnivariatePolynomial| |#2|)) "\\spad{definingPolynomial()} returns the polynomial used to define the field extension.")) (|minimalPolynomial| (((|SparseUnivariatePolynomial| $) $ (|PositiveInteger|)) "\\spad{minimalPolynomial(x,n)} computes the minimal polynomial of \\spad{x} over the field of extension degree \\spad{n} over the ground field \\spad{F}.") (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{minimalPolynomial(a)} returns the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|represents| (($ (|Vector| |#2|)) "\\spad{represents([a1,..,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#2|) (|Vector| $)) "\\spad{coordinates([v1,...,vm])} returns the coordinates of the \\spad{vi}\\spad{'s} with to the fixed basis. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#2|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{F}-vectorspace basis.")) (|basis| (((|Vector| $) (|PositiveInteger|)) "\\spad{basis(n)} returns a fixed basis of a subfield of \\spad{\\$} as \\spad{F}-vectorspace.") (((|Vector| $)) "\\spad{basis()} returns a fixed basis of \\spad{\\$} as \\spad{F}-vectorspace."))) 
 NIL 
 ((|HasCategory| |#2| (QUOTE (-379)))) 
-(-339 -1959) 
+(-339 -1962) 
 ((|constructor| (NIL "FiniteAlgebraicExtensionField {\\em F} is the category of fields which are finite algebraic extensions of the field {\\em F}. If {\\em F} is finite then any finite algebraic extension of {\\em F} is finite,{} too. Let {\\em K} be a finite algebraic extension of the finite field {\\em F}. The exponentiation of elements of {\\em K} defines a \\spad{Z}-module structure on the multiplicative group of {\\em K}. The additive group of {\\em K} becomes a module over the ring of polynomials over {\\em F} via the operation \\spadfun{linearAssociatedExp}(a:K,{}f:SparseUnivariatePolynomial \\spad{F}) which is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em K},{} {\\em c,d} from {\\em F} and {\\em f,g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)} where {\\em q=size()\\$F}. The operations order and discreteLog associated with the multiplicative exponentiation have additive analogues associated to the operation \\spadfun{linearAssociatedExp}. These are the functions \\spadfun{linearAssociatedOrder} and \\spadfun{linearAssociatedLog},{} respectively.")) (|linearAssociatedLog| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") $ $) "\\spad{linearAssociatedLog(b,a)} returns a polynomial {\\em g},{} such that the \\spadfun{linearAssociatedExp}(\\spad{b},{}\\spad{g}) equals {\\em a}. If there is no such polynomial {\\em g},{} then \\spadfun{linearAssociatedLog} fails.") (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{linearAssociatedLog(a)} returns a polynomial {\\em g},{} such that \\spadfun{linearAssociatedExp}(normalElement(),{}\\spad{g}) equals {\\em a}.")) (|linearAssociatedOrder| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{linearAssociatedOrder(a)} retruns the monic polynomial {\\em g} of least degree,{} such that \\spadfun{linearAssociatedExp}(a,{}\\spad{g}) is 0.")) (|linearAssociatedExp| (($ $ (|SparseUnivariatePolynomial| |#1|)) "\\spad{linearAssociatedExp(a,f)} is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em \\$},{} {\\em c,d} form {\\em F} and {\\em f,g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)},{} where {\\em q=size()\\$F}.")) (|generator| (($) "\\spad{generator()} returns a root of the defining polynomial. This element generates the field as an algebra over the ground field.")) (|normal?| (((|Boolean|) $) "\\spad{normal?(a)} tests whether the element \\spad{a} is normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i), 0 <= i <= extensionDegree()-1} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Implementation according to Lidl/Niederreiter: Theorem 2.39.")) (|normalElement| (($) "\\spad{normalElement()} returns a element,{} normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i), 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. At the first call,{} the element is computed by \\spadfunFrom{createNormalElement}{FiniteAlgebraicExtensionField} then cached in a global variable. On subsequent calls,{} the element is retrieved by referencing the global variable.")) (|createNormalElement| (($) "\\spad{createNormalElement()} computes a normal element over the ground field \\spad{F},{} that is,{} \\spad{a**(q**i), 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Reference: Such an element exists Lidl/Niederreiter: Theorem 2.35.")) (|trace| (($ $ (|PositiveInteger|)) "\\spad{trace(a,d)} computes the trace of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size \\spad{q}. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: \\spad{trace(a,d) = reduce(+,[a**(q**(d*i)) for i in 0..n/d])}.") ((|#1| $) "\\spad{trace(a)} computes the trace of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|norm| (($ $ (|PositiveInteger|)) "\\spad{norm(a,d)} computes the norm of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: norm(a,{}\\spad{d}) = reduce(*,{}[a**(\\spad{q**}(d*i)) for \\spad{i} in 0..\\spad{n/d}])") ((|#1| $) "\\spad{norm(a)} computes the norm of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|degree| (((|PositiveInteger|) $) "\\spad{degree(a)} returns the degree of the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|extensionDegree| (((|PositiveInteger|)) "\\spad{extensionDegree()} returns the degree of field extension.")) (|definingPolynomial| (((|SparseUnivariatePolynomial| |#1|)) "\\spad{definingPolynomial()} returns the polynomial used to define the field extension.")) (|minimalPolynomial| (((|SparseUnivariatePolynomial| $) $ (|PositiveInteger|)) "\\spad{minimalPolynomial(x,n)} computes the minimal polynomial of \\spad{x} over the field of extension degree \\spad{n} over the ground field \\spad{F}.") (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{minimalPolynomial(a)} returns the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|represents| (($ (|Vector| |#1|)) "\\spad{represents([a1,..,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#1|) (|Vector| $)) "\\spad{coordinates([v1,...,vm])} returns the coordinates of the \\spad{vi}\\spad{'s} with to the fixed basis. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#1|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{F}-vectorspace basis.")) (|basis| (((|Vector| $) (|PositiveInteger|)) "\\spad{basis(n)} returns a fixed basis of a subfield of \\spad{\\$} as \\spad{F}-vectorspace.") (((|Vector| $)) "\\spad{basis()} returns a fixed basis of \\spad{\\$} as \\spad{F}-vectorspace."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-340) 
 ((|constructor| (NIL "This domain builds representations of program code segments for use with the FortranProgram domain.")) (|setLabelValue| (((|SingleInteger|) (|SingleInteger|)) "\\spad{setLabelValue(i)} resets the counter which produces labels to \\spad{i}")) (|getCode| (((|SExpression|) $) "\\spad{getCode(f)} returns a Lisp list of strings representing \\spad{f} in Fortran notation. This is used by the FortranProgram domain.")) (|printCode| (((|Void|) $) "\\spad{printCode(f)} prints out \\spad{f} in FORTRAN notation.")) (|code| (((|Union| (|:| |nullBranch| "null") (|:| |assignmentBranch| (|Record| (|:| |var| (|Symbol|)) (|:| |arrayIndex| (|List| (|Polynomial| (|Integer|)))) (|:| |rand| (|Record| (|:| |ints2Floats?| (|Boolean|)) (|:| |expr| (|OutputForm|)))))) (|:| |arrayAssignmentBranch| (|Record| (|:| |var| (|Symbol|)) (|:| |rand| (|OutputForm|)) (|:| |ints2Floats?| (|Boolean|)))) (|:| |conditionalBranch| (|Record| (|:| |switch| (|Switch|)) (|:| |thenClause| $) (|:| |elseClause| $))) (|:| |returnBranch| (|Record| (|:| |empty?| (|Boolean|)) (|:| |value| (|Record| (|:| |ints2Floats?| (|Boolean|)) (|:| |expr| (|OutputForm|)))))) (|:| |blockBranch| (|List| $)) (|:| |commentBranch| (|List| (|String|))) (|:| |callBranch| (|String|)) (|:| |forBranch| (|Record| (|:| |range| (|SegmentBinding| (|Polynomial| (|Integer|)))) (|:| |span| (|Polynomial| (|Integer|))) (|:| |body| $))) (|:| |labelBranch| (|SingleInteger|)) (|:| |loopBranch| (|Record| (|:| |switch| (|Switch|)) (|:| |body| $))) (|:| |commonBranch| (|Record| (|:| |name| (|Symbol|)) (|:| |contents| (|List| (|Symbol|))))) (|:| |printBranch| (|List| (|OutputForm|)))) $) "\\spad{code(f)} returns the internal representation of the object represented by \\spad{f}.")) (|operation| (((|Union| (|:| |Null| "null") (|:| |Assignment| "assignment") (|:| |Conditional| "conditional") (|:| |Return| "return") (|:| |Block| "block") (|:| |Comment| "comment") (|:| |Call| "call") (|:| |For| "for") (|:| |While| "while") (|:| |Repeat| "repeat") (|:| |Goto| "goto") (|:| |Continue| "continue") (|:| |ArrayAssignment| "arrayAssignment") (|:| |Save| "save") (|:| |Stop| "stop") (|:| |Common| "common") (|:| |Print| "print")) $) "\\spad{operation(f)} returns the name of the operation represented by \\spad{f}.")) (|common| (($ (|Symbol|) (|List| (|Symbol|))) "\\spad{common(name,contents)} creates a representation a named common block.")) (|printStatement| (($ (|List| (|OutputForm|))) "\\spad{printStatement(l)} creates a representation of a PRINT statement.")) (|save| (($) "\\spad{save()} creates a representation of a SAVE statement.")) (|stop| (($) "\\spad{stop()} creates a representation of a STOP statement.")) (|block| (($ (|List| $)) "\\spad{block(l)} creates a representation of the statements in \\spad{l} as a block.")) (|assign| (($ (|Symbol|) (|List| (|Polynomial| (|Integer|))) (|Expression| (|Complex| (|Float|)))) "\\spad{assign(x,l,y)} creates a representation of the assignment of \\spad{y} to the \\spad{l}\\spad{'}th element of array \\spad{x} (\\spad{l} is a list of indices).") (($ (|Symbol|) (|List| (|Polynomial| (|Integer|))) (|Expression| (|Float|))) "\\spad{assign(x,l,y)} creates a representation of the assignment of \\spad{y} to the \\spad{l}\\spad{'}th element of array \\spad{x} (\\spad{l} is a list of indices).") (($ (|Symbol|) (|List| (|Polynomial| (|Integer|))) (|Expression| (|Integer|))) "\\spad{assign(x,l,y)} creates a representation of the assignment of \\spad{y} to the \\spad{l}\\spad{'}th element of array \\spad{x} (\\spad{l} is a list of indices).") (($ (|Symbol|) (|Vector| (|Expression| (|Complex| (|Float|))))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Vector| (|Expression| (|Float|)))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Vector| (|Expression| (|Integer|)))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Matrix| (|Expression| (|Complex| (|Float|))))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Matrix| (|Expression| (|Float|)))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Matrix| (|Expression| (|Integer|)))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Expression| (|Complex| (|Float|)))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Expression| (|Float|))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Expression| (|Integer|))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|List| (|Polynomial| (|Integer|))) (|Expression| (|MachineComplex|))) "\\spad{assign(x,l,y)} creates a representation of the assignment of \\spad{y} to the \\spad{l}\\spad{'}th element of array \\spad{x} (\\spad{l} is a list of indices).") (($ (|Symbol|) (|List| (|Polynomial| (|Integer|))) (|Expression| (|MachineFloat|))) "\\spad{assign(x,l,y)} creates a representation of the assignment of \\spad{y} to the \\spad{l}\\spad{'}th element of array \\spad{x} (\\spad{l} is a list of indices).") (($ (|Symbol|) (|List| (|Polynomial| (|Integer|))) (|Expression| (|MachineInteger|))) "\\spad{assign(x,l,y)} creates a representation of the assignment of \\spad{y} to the \\spad{l}\\spad{'}th element of array \\spad{x} (\\spad{l} is a list of indices).") (($ (|Symbol|) (|Vector| (|Expression| (|MachineComplex|)))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Vector| (|Expression| (|MachineFloat|)))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Vector| (|Expression| (|MachineInteger|)))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Matrix| (|Expression| (|MachineComplex|)))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Matrix| (|Expression| (|MachineFloat|)))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Matrix| (|Expression| (|MachineInteger|)))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Vector| (|MachineComplex|))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Vector| (|MachineFloat|))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Vector| (|MachineInteger|))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Matrix| (|MachineComplex|))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Matrix| (|MachineFloat|))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Matrix| (|MachineInteger|))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Expression| (|MachineComplex|))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Expression| (|MachineFloat|))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|Expression| (|MachineInteger|))) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.") (($ (|Symbol|) (|String|)) "\\spad{assign(x,y)} creates a representation of the FORTRAN expression x=y.")) (|cond| (($ (|Switch|) $ $) "\\spad{cond(s,e,f)} creates a representation of the FORTRAN expression IF (\\spad{s}) THEN \\spad{e} ELSE \\spad{f}.") (($ (|Switch|) $) "\\spad{cond(s,e)} creates a representation of the FORTRAN expression IF (\\spad{s}) THEN \\spad{e}.")) (|returns| (($ (|Expression| (|Complex| (|Float|)))) "\\spad{returns(e)} creates a representation of a FORTRAN RETURN statement with a returned value.") (($ (|Expression| (|Integer|))) "\\spad{returns(e)} creates a representation of a FORTRAN RETURN statement with a returned value.") (($ (|Expression| (|Float|))) "\\spad{returns(e)} creates a representation of a FORTRAN RETURN statement with a returned value.") (($ (|Expression| (|MachineComplex|))) "\\spad{returns(e)} creates a representation of a FORTRAN RETURN statement with a returned value.") (($ (|Expression| (|MachineInteger|))) "\\spad{returns(e)} creates a representation of a FORTRAN RETURN statement with a returned value.") (($ (|Expression| (|MachineFloat|))) "\\spad{returns(e)} creates a representation of a FORTRAN RETURN statement with a returned value.") (($) "\\spad{returns()} creates a representation of a FORTRAN RETURN statement.")) (|call| (($ (|String|)) "\\spad{call(s)} creates a representation of a FORTRAN CALL statement")) (|comment| (($ (|List| (|String|))) "\\spad{comment(s)} creates a representation of the Strings \\spad{s} as a multi-line FORTRAN comment.") (($ (|String|)) "\\spad{comment(s)} creates a representation of the String \\spad{s} as a single FORTRAN comment.")) (|continue| (($ (|SingleInteger|)) "\\spad{continue(l)} creates a representation of a FORTRAN CONTINUE labelled with \\spad{l}")) (|goto| (($ (|SingleInteger|)) "\\spad{goto(l)} creates a representation of a FORTRAN GOTO statement")) (|repeatUntilLoop| (($ (|Switch|) $) "\\spad{repeatUntilLoop(s,c)} creates a repeat ... until loop in FORTRAN.")) (|whileLoop| (($ (|Switch|) $) "\\spad{whileLoop(s,c)} creates a while loop in FORTRAN.")) (|forLoop| (($ (|SegmentBinding| (|Polynomial| (|Integer|))) (|Polynomial| (|Integer|)) $) "\\spad{forLoop(i=1..10,n,c)} creates a representation of a FORTRAN DO loop with \\spad{i} ranging over the values 1 to 10 by \\spad{n}.") (($ (|SegmentBinding| (|Polynomial| (|Integer|))) $) "\\spad{forLoop(i=1..10,c)} creates a representation of a FORTRAN DO loop with \\spad{i} ranging over the values 1 to 10."))) 
@@ -1308,15 +1308,15 @@ NIL
 ((|constructor| (NIL "\\indented{1}{Lift a map to finite divisors.} Author: Manuel Bronstein Date Created: 1988 Date Last Updated: 19 May 1993")) (|map| (((|FiniteDivisor| |#5| |#6| |#7| |#8|) (|Mapping| |#5| |#1|) (|FiniteDivisor| |#1| |#2| |#3| |#4|)) "\\spad{map(f,d)} \\undocumented{}"))) 
 NIL 
 NIL 
-(-345 S -1959 UP UPUP R) 
+(-345 S -1962 UP UPUP R) 
 ((|constructor| (NIL "This category describes finite rational divisors on a curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve.")) (|generator| (((|Union| |#5| "failed") $) "\\spad{generator(d)} returns \\spad{f} if \\spad{(f) = d},{} \"failed\" if \\spad{d} is not principal.")) (|principal?| (((|Boolean|) $) "\\spad{principal?(D)} tests if the argument is the divisor of a function.")) (|reduce| (($ $) "\\spad{reduce(D)} converts \\spad{D} to some reduced form (the reduced forms can be differents in different implementations).")) (|decompose| (((|Record| (|:| |id| (|FractionalIdeal| |#3| (|Fraction| |#3|) |#4| |#5|)) (|:| |principalPart| |#5|)) $) "\\spad{decompose(d)} returns \\spad{[id, f]} where \\spad{d = (id) + div(f)}.")) (|divisor| (($ |#5| |#3| |#3| |#3| |#2|) "\\spad{divisor(h, d, d', g, r)} returns the sum of all the finite points where \\spad{h/d} has residue \\spad{r}. \\spad{h} must be integral. \\spad{d} must be squarefree. \\spad{d'} is some derivative of \\spad{d} (not necessarily dd/dx). \\spad{g = gcd(d,discriminant)} contains the ramified zeros of \\spad{d}") (($ |#2| |#2| (|Integer|)) "\\spad{divisor(a, b, n)} makes the divisor \\spad{nP} where \\spad{P:} \\spad{(x = a, y = b)}. \\spad{P} is allowed to be singular if \\spad{n} is a multiple of the rank.") (($ |#2| |#2|) "\\spad{divisor(a, b)} makes the divisor \\spad{P:} \\spad{(x = a, y = b)}. Error: if \\spad{P} is singular.") (($ |#5|) "\\spad{divisor(g)} returns the divisor of the function \\spad{g}.") (($ (|FractionalIdeal| |#3| (|Fraction| |#3|) |#4| |#5|)) "\\spad{divisor(I)} makes a divisor \\spad{D} from an ideal \\spad{I}.")) (|ideal| (((|FractionalIdeal| |#3| (|Fraction| |#3|) |#4| |#5|) $) "\\spad{ideal(D)} returns the ideal corresponding to a divisor \\spad{D}."))) 
 NIL 
 NIL 
-(-346 -1959 UP UPUP R) 
+(-346 -1962 UP UPUP R) 
 ((|constructor| (NIL "This category describes finite rational divisors on a curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve.")) (|generator| (((|Union| |#4| "failed") $) "\\spad{generator(d)} returns \\spad{f} if \\spad{(f) = d},{} \"failed\" if \\spad{d} is not principal.")) (|principal?| (((|Boolean|) $) "\\spad{principal?(D)} tests if the argument is the divisor of a function.")) (|reduce| (($ $) "\\spad{reduce(D)} converts \\spad{D} to some reduced form (the reduced forms can be differents in different implementations).")) (|decompose| (((|Record| (|:| |id| (|FractionalIdeal| |#2| (|Fraction| |#2|) |#3| |#4|)) (|:| |principalPart| |#4|)) $) "\\spad{decompose(d)} returns \\spad{[id, f]} where \\spad{d = (id) + div(f)}.")) (|divisor| (($ |#4| |#2| |#2| |#2| |#1|) "\\spad{divisor(h, d, d', g, r)} returns the sum of all the finite points where \\spad{h/d} has residue \\spad{r}. \\spad{h} must be integral. \\spad{d} must be squarefree. \\spad{d'} is some derivative of \\spad{d} (not necessarily dd/dx). \\spad{g = gcd(d,discriminant)} contains the ramified zeros of \\spad{d}") (($ |#1| |#1| (|Integer|)) "\\spad{divisor(a, b, n)} makes the divisor \\spad{nP} where \\spad{P:} \\spad{(x = a, y = b)}. \\spad{P} is allowed to be singular if \\spad{n} is a multiple of the rank.") (($ |#1| |#1|) "\\spad{divisor(a, b)} makes the divisor \\spad{P:} \\spad{(x = a, y = b)}. Error: if \\spad{P} is singular.") (($ |#4|) "\\spad{divisor(g)} returns the divisor of the function \\spad{g}.") (($ (|FractionalIdeal| |#2| (|Fraction| |#2|) |#3| |#4|)) "\\spad{divisor(I)} makes a divisor \\spad{D} from an ideal \\spad{I}.")) (|ideal| (((|FractionalIdeal| |#2| (|Fraction| |#2|) |#3| |#4|) $) "\\spad{ideal(D)} returns the ideal corresponding to a divisor \\spad{D}."))) 
 NIL 
 NIL 
-(-347 -1959 UP UPUP R) 
+(-347 -1962 UP UPUP R) 
 ((|constructor| (NIL "This domains implements finite rational divisors on a curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve.")) (|lSpaceBasis| (((|Vector| |#4|) $) "\\spad{lSpaceBasis(d)} returns a basis for \\spad{L(d) = {f | (f) >= -d}} as a module over \\spad{K[x]}.")) (|finiteBasis| (((|Vector| |#4|) $) "\\spad{finiteBasis(d)} returns a basis for \\spad{d} as a module over {\\em K[x]}."))) 
 NIL 
 NIL 
@@ -1330,32 +1330,32 @@ NIL
 NIL 
 (-350 |basicSymbols| |subscriptedSymbols| R) 
 ((|constructor| (NIL "A domain of expressions involving functions which can be translated into standard Fortran-77,{} with some extra extensions from the NAG Fortran Library.")) (|useNagFunctions| (((|Boolean|) (|Boolean|)) "\\spad{useNagFunctions(v)} sets the flag which controls whether NAG functions \\indented{1}{are being used for mathematical and machine constants.\\space{2}The previous} \\indented{1}{value is returned.}") (((|Boolean|)) "\\spad{useNagFunctions()} indicates whether NAG functions are being used \\indented{1}{for mathematical and machine constants.}")) (|variables| (((|List| (|Symbol|)) $) "\\spad{variables(e)} return a list of all the variables in \\spad{e}.")) (|pi| (($) "\\spad{pi(x)} represents the NAG Library function X01AAF which returns \\indented{1}{an approximation to the value of \\spad{pi}}")) (|tanh| (($ $) "\\spad{tanh(x)} represents the Fortran intrinsic function TANH")) (|cosh| (($ $) "\\spad{cosh(x)} represents the Fortran intrinsic function COSH")) (|sinh| (($ $) "\\spad{sinh(x)} represents the Fortran intrinsic function SINH")) (|atan| (($ $) "\\spad{atan(x)} represents the Fortran intrinsic function ATAN")) (|acos| (($ $) "\\spad{acos(x)} represents the Fortran intrinsic function ACOS")) (|asin| (($ $) "\\spad{asin(x)} represents the Fortran intrinsic function ASIN")) (|tan| (($ $) "\\spad{tan(x)} represents the Fortran intrinsic function TAN")) (|cos| (($ $) "\\spad{cos(x)} represents the Fortran intrinsic function COS")) (|sin| (($ $) "\\spad{sin(x)} represents the Fortran intrinsic function SIN")) (|log10| (($ $) "\\spad{log10(x)} represents the Fortran intrinsic function LOG10")) (|log| (($ $) "\\spad{log(x)} represents the Fortran intrinsic function LOG")) (|exp| (($ $) "\\spad{exp(x)} represents the Fortran intrinsic function EXP")) (|sqrt| (($ $) "\\spad{sqrt(x)} represents the Fortran intrinsic function SQRT")) (|abs| (($ $) "\\spad{abs(x)} represents the Fortran intrinsic function ABS")) (|coerce| (((|Expression| |#3|) $) "\\spad{coerce(x)} \\undocumented{}")) (|retractIfCan| (((|Union| $ "failed") (|Polynomial| (|Float|))) "\\spad{retractIfCan(e)} takes \\spad{e} and tries to transform it into a \\indented{1}{FortranExpression checking that it contains no non-Fortran} \\indented{1}{functions,{} and that it only contains the given basic symbols} \\indented{1}{and subscripted symbols which correspond to scalar and array} \\indented{1}{parameters respectively.}") (((|Union| $ "failed") (|Fraction| (|Polynomial| (|Float|)))) "\\spad{retractIfCan(e)} takes \\spad{e} and tries to transform it into a \\indented{1}{FortranExpression checking that it contains no non-Fortran} \\indented{1}{functions,{} and that it only contains the given basic symbols} \\indented{1}{and subscripted symbols which correspond to scalar and array} \\indented{1}{parameters respectively.}") (((|Union| $ "failed") (|Expression| (|Float|))) "\\spad{retractIfCan(e)} takes \\spad{e} and tries to transform it into a \\indented{1}{FortranExpression checking that it contains no non-Fortran} \\indented{1}{functions,{} and that it only contains the given basic symbols} \\indented{1}{and subscripted symbols which correspond to scalar and array} \\indented{1}{parameters respectively.}") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\spad{retractIfCan(e)} takes \\spad{e} and tries to transform it into a \\indented{1}{FortranExpression checking that it contains no non-Fortran} \\indented{1}{functions,{} and that it only contains the given basic symbols} \\indented{1}{and subscripted symbols which correspond to scalar and array} \\indented{1}{parameters respectively.}") (((|Union| $ "failed") (|Fraction| (|Polynomial| (|Integer|)))) "\\spad{retractIfCan(e)} takes \\spad{e} and tries to transform it into a \\indented{1}{FortranExpression checking that it contains no non-Fortran} \\indented{1}{functions,{} and that it only contains the given basic symbols} \\indented{1}{and subscripted symbols which correspond to scalar and array} \\indented{1}{parameters respectively.}") (((|Union| $ "failed") (|Expression| (|Integer|))) "\\spad{retractIfCan(e)} takes \\spad{e} and tries to transform it into a \\indented{1}{FortranExpression checking that it contains no non-Fortran} \\indented{1}{functions,{} and that it only contains the given basic symbols} \\indented{1}{and subscripted symbols which correspond to scalar and array} \\indented{1}{parameters respectively.}") (((|Union| $ "failed") (|Symbol|)) "\\spad{retractIfCan(e)} takes \\spad{e} and tries to transform it into a FortranExpression \\indented{1}{checking that it is one of the given basic symbols} \\indented{1}{or subscripted symbols which correspond to scalar and array} \\indented{1}{parameters respectively.}") (((|Union| $ "failed") (|Expression| |#3|)) "\\spad{retractIfCan(e)} takes \\spad{e} and tries to transform it into a \\indented{1}{FortranExpression checking that it contains no non-Fortran} \\indented{1}{functions,{} and that it only contains the given basic symbols} \\indented{1}{and subscripted symbols which correspond to scalar and array} \\indented{1}{parameters respectively.}")) (|retract| (($ (|Polynomial| (|Float|))) "\\spad{retract(e)} takes \\spad{e} and transforms it into a \\indented{1}{FortranExpression checking that it contains no non-Fortran} \\indented{1}{functions,{} and that it only contains the given basic symbols} \\indented{1}{and subscripted symbols which correspond to scalar and array} \\indented{1}{parameters respectively.}") (($ (|Fraction| (|Polynomial| (|Float|)))) "\\spad{retract(e)} takes \\spad{e} and transforms it into a \\indented{1}{FortranExpression checking that it contains no non-Fortran} \\indented{1}{functions,{} and that it only contains the given basic symbols} \\indented{1}{and subscripted symbols which correspond to scalar and array} \\indented{1}{parameters respectively.}") (($ (|Expression| (|Float|))) "\\spad{retract(e)} takes \\spad{e} and transforms it into a \\indented{1}{FortranExpression checking that it contains no non-Fortran} \\indented{1}{functions,{} and that it only contains the given basic symbols} \\indented{1}{and subscripted symbols which correspond to scalar and array} \\indented{1}{parameters respectively.}") (($ (|Polynomial| (|Integer|))) "\\spad{retract(e)} takes \\spad{e} and transforms it into a \\indented{1}{FortranExpression checking that it contains no non-Fortran} \\indented{1}{functions,{} and that it only contains the given basic symbols} \\indented{1}{and subscripted symbols which correspond to scalar and array} \\indented{1}{parameters respectively.}") (($ (|Fraction| (|Polynomial| (|Integer|)))) "\\spad{retract(e)} takes \\spad{e} and transforms it into a \\indented{1}{FortranExpression checking that it contains no non-Fortran} \\indented{1}{functions,{} and that it only contains the given basic symbols} \\indented{1}{and subscripted symbols which correspond to scalar and array} \\indented{1}{parameters respectively.}") (($ (|Expression| (|Integer|))) "\\spad{retract(e)} takes \\spad{e} and transforms it into a \\indented{1}{FortranExpression checking that it contains no non-Fortran} \\indented{1}{functions,{} and that it only contains the given basic symbols} \\indented{1}{and subscripted symbols which correspond to scalar and array} \\indented{1}{parameters respectively.}") (($ (|Symbol|)) "\\spad{retract(e)} takes \\spad{e} and transforms it into a FortranExpression \\indented{1}{checking that it is one of the given basic symbols} \\indented{1}{or subscripted symbols which correspond to scalar and array} \\indented{1}{parameters respectively.}") (($ (|Expression| |#3|)) "\\spad{retract(e)} takes \\spad{e} and transforms it into a \\indented{1}{FortranExpression checking that it contains no non-Fortran} \\indented{1}{functions,{} and that it only contains the given basic symbols} \\indented{1}{and subscripted symbols which correspond to scalar and array} \\indented{1}{parameters respectively.}"))) 
-((-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4459 . T) (-4460 . T) (-4462 . T)) 
 ((|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-390)))) (|HasCategory| $ (QUOTE (-1070))) (|HasCategory| $ (LIST (QUOTE -1059) (QUOTE (-576))))) 
 (-351 R1 UP1 UPUP1 F1 R2 UP2 UPUP2 F2) 
 ((|constructor| (NIL "Lifts a map from rings to function fields over them.")) (|map| ((|#8| (|Mapping| |#5| |#1|) |#4|) "\\spad{map(f, p)} lifts \\spad{f} to \\spad{F1} and applies it to \\spad{p}."))) 
 NIL 
 NIL 
-(-352 S -1959 UP UPUP) 
+(-352 S -1962 UP UPUP) 
 ((|constructor| (NIL "This category is a model for the function field of a plane algebraic curve.")) (|rationalPoints| (((|List| (|List| |#2|))) "\\spad{rationalPoints()} returns the list of all the affine rational points.")) (|nonSingularModel| (((|List| (|Polynomial| |#2|)) (|Symbol|)) "\\spad{nonSingularModel(u)} returns the equations in u1,{}...,{}un of an affine non-singular model for the curve.")) (|algSplitSimple| (((|Record| (|:| |num| $) (|:| |den| |#3|) (|:| |derivden| |#3|) (|:| |gd| |#3|)) $ (|Mapping| |#3| |#3|)) "\\spad{algSplitSimple(f, D)} returns \\spad{[h,d,d',g]} such that \\spad{f=h/d},{} \\spad{h} is integral at all the normal places \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} \\spad{d' = Dd},{} \\spad{g = gcd(d, discriminant())} and \\spad{D} is the derivation to use. \\spad{f} must have at most simple finite poles.")) (|hyperelliptic| (((|Union| |#3| "failed")) "\\spad{hyperelliptic()} returns \\spad{p(x)} if the curve is the hyperelliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elliptic| (((|Union| |#3| "failed")) "\\spad{elliptic()} returns \\spad{p(x)} if the curve is the elliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elt| ((|#2| $ |#2| |#2|) "\\spad{elt(f,a,b)} or \\spad{f}(a,{} \\spad{b}) returns the value of \\spad{f} at the point \\spad{(x = a, y = b)} if it is not singular.")) (|primitivePart| (($ $) "\\spad{primitivePart(f)} removes the content of the denominator and the common content of the numerator of \\spad{f}.")) (|differentiate| (($ $ (|Mapping| |#3| |#3|)) "\\spad{differentiate(x, d)} extends the derivation \\spad{d} from UP to \\$ and applies it to \\spad{x}.")) (|integralDerivationMatrix| (((|Record| (|:| |num| (|Matrix| |#3|)) (|:| |den| |#3|)) (|Mapping| |#3| |#3|)) "\\spad{integralDerivationMatrix(d)} extends the derivation \\spad{d} from UP to \\$ and returns (\\spad{M},{} \\spad{Q}) such that the i^th row of \\spad{M} divided by \\spad{Q} form the coordinates of \\spad{d(wi)} with respect to \\spad{(w1,...,wn)} where \\spad{(w1,...,wn)} is the integral basis returned by integralBasis().")) (|integralRepresents| (($ (|Vector| |#3|) |#3|) "\\spad{integralRepresents([A1,...,An], D)} returns \\spad{(A1 w1+...+An wn)/D} where \\spad{(w1,...,wn)} is the integral basis of \\spad{integralBasis()}.")) (|integralCoordinates| (((|Record| (|:| |num| (|Vector| |#3|)) (|:| |den| |#3|)) $) "\\spad{integralCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 w1 +...+ An wn) / D} where \\spad{(w1,...,wn)} is the integral basis returned by \\spad{integralBasis()}.")) (|represents| (($ (|Vector| |#3|) |#3|) "\\spad{represents([A0,...,A(n-1)],D)} returns \\spad{(A0 + A1 y +...+ A(n-1)*y**(n-1))/D}.")) (|yCoordinates| (((|Record| (|:| |num| (|Vector| |#3|)) (|:| |den| |#3|)) $) "\\spad{yCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 + A2 y +...+ An y**(n-1)) / D}.")) (|inverseIntegralMatrixAtInfinity| (((|Matrix| (|Fraction| |#3|))) "\\spad{inverseIntegralMatrixAtInfinity()} returns \\spad{M} such that \\spad{M (v1,...,vn) = (1, y, ..., y**(n-1))} where \\spad{(v1,...,vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|integralMatrixAtInfinity| (((|Matrix| (|Fraction| |#3|))) "\\spad{integralMatrixAtInfinity()} returns \\spad{M} such that \\spad{(v1,...,vn) = M (1, y, ..., y**(n-1))} where \\spad{(v1,...,vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|inverseIntegralMatrix| (((|Matrix| (|Fraction| |#3|))) "\\spad{inverseIntegralMatrix()} returns \\spad{M} such that \\spad{M (w1,...,wn) = (1, y, ..., y**(n-1))} where \\spad{(w1,...,wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|integralMatrix| (((|Matrix| (|Fraction| |#3|))) "\\spad{integralMatrix()} returns \\spad{M} such that \\spad{(w1,...,wn) = M (1, y, ..., y**(n-1))},{} where \\spad{(w1,...,wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|reduceBasisAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{reduceBasisAtInfinity(b1,...,bn)} returns \\spad{(x**i * bj)} for all \\spad{i},{}\\spad{j} such that \\spad{x**i*bj} is locally integral at infinity.")) (|normalizeAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{normalizeAtInfinity(v)} makes \\spad{v} normal at infinity.")) (|complementaryBasis| (((|Vector| $) (|Vector| $)) "\\spad{complementaryBasis(b1,...,bn)} returns the complementary basis \\spad{(b1',...,bn')} of \\spad{(b1,...,bn)}.")) (|integral?| (((|Boolean|) $ |#3|) "\\spad{integral?(f, p)} tests whether \\spad{f} is locally integral at \\spad{p(x) = 0}.") (((|Boolean|) $ |#2|) "\\spad{integral?(f, a)} tests whether \\spad{f} is locally integral at \\spad{x = a}.") (((|Boolean|) $) "\\spad{integral?()} tests if \\spad{f} is integral over \\spad{k[x]}.")) (|integralAtInfinity?| (((|Boolean|) $) "\\spad{integralAtInfinity?()} tests if \\spad{f} is locally integral at infinity.")) (|integralBasisAtInfinity| (((|Vector| $)) "\\spad{integralBasisAtInfinity()} returns the local integral basis at infinity.")) (|integralBasis| (((|Vector| $)) "\\spad{integralBasis()} returns the integral basis for the curve.")) (|ramified?| (((|Boolean|) |#3|) "\\spad{ramified?(p)} tests whether \\spad{p(x) = 0} is ramified.") (((|Boolean|) |#2|) "\\spad{ramified?(a)} tests whether \\spad{x = a} is ramified.")) (|ramifiedAtInfinity?| (((|Boolean|)) "\\spad{ramifiedAtInfinity?()} tests if infinity is ramified.")) (|singular?| (((|Boolean|) |#3|) "\\spad{singular?(p)} tests whether \\spad{p(x) = 0} is singular.") (((|Boolean|) |#2|) "\\spad{singular?(a)} tests whether \\spad{x = a} is singular.")) (|singularAtInfinity?| (((|Boolean|)) "\\spad{singularAtInfinity?()} tests if there is a singularity at infinity.")) (|branchPoint?| (((|Boolean|) |#3|) "\\spad{branchPoint?(p)} tests whether \\spad{p(x) = 0} is a branch point.") (((|Boolean|) |#2|) "\\spad{branchPoint?(a)} tests whether \\spad{x = a} is a branch point.")) (|branchPointAtInfinity?| (((|Boolean|)) "\\spad{branchPointAtInfinity?()} tests if there is a branch point at infinity.")) (|rationalPoint?| (((|Boolean|) |#2| |#2|) "\\spad{rationalPoint?(a, b)} tests if \\spad{(x=a,y=b)} is on the curve.")) (|absolutelyIrreducible?| (((|Boolean|)) "\\spad{absolutelyIrreducible?()} tests if the curve absolutely irreducible?")) (|genus| (((|NonNegativeInteger|)) "\\spad{genus()} returns the genus of one absolutely irreducible component")) (|numberOfComponents| (((|NonNegativeInteger|)) "\\spad{numberOfComponents()} returns the number of absolutely irreducible components."))) 
 NIL 
 ((|HasCategory| |#2| (QUOTE (-379))) (|HasCategory| |#2| (QUOTE (-374)))) 
-(-353 -1959 UP UPUP) 
+(-353 -1962 UP UPUP) 
 ((|constructor| (NIL "This category is a model for the function field of a plane algebraic curve.")) (|rationalPoints| (((|List| (|List| |#1|))) "\\spad{rationalPoints()} returns the list of all the affine rational points.")) (|nonSingularModel| (((|List| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{nonSingularModel(u)} returns the equations in u1,{}...,{}un of an affine non-singular model for the curve.")) (|algSplitSimple| (((|Record| (|:| |num| $) (|:| |den| |#2|) (|:| |derivden| |#2|) (|:| |gd| |#2|)) $ (|Mapping| |#2| |#2|)) "\\spad{algSplitSimple(f, D)} returns \\spad{[h,d,d',g]} such that \\spad{f=h/d},{} \\spad{h} is integral at all the normal places \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} \\spad{d' = Dd},{} \\spad{g = gcd(d, discriminant())} and \\spad{D} is the derivation to use. \\spad{f} must have at most simple finite poles.")) (|hyperelliptic| (((|Union| |#2| "failed")) "\\spad{hyperelliptic()} returns \\spad{p(x)} if the curve is the hyperelliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elliptic| (((|Union| |#2| "failed")) "\\spad{elliptic()} returns \\spad{p(x)} if the curve is the elliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elt| ((|#1| $ |#1| |#1|) "\\spad{elt(f,a,b)} or \\spad{f}(a,{} \\spad{b}) returns the value of \\spad{f} at the point \\spad{(x = a, y = b)} if it is not singular.")) (|primitivePart| (($ $) "\\spad{primitivePart(f)} removes the content of the denominator and the common content of the numerator of \\spad{f}.")) (|differentiate| (($ $ (|Mapping| |#2| |#2|)) "\\spad{differentiate(x, d)} extends the derivation \\spad{d} from UP to \\$ and applies it to \\spad{x}.")) (|integralDerivationMatrix| (((|Record| (|:| |num| (|Matrix| |#2|)) (|:| |den| |#2|)) (|Mapping| |#2| |#2|)) "\\spad{integralDerivationMatrix(d)} extends the derivation \\spad{d} from UP to \\$ and returns (\\spad{M},{} \\spad{Q}) such that the i^th row of \\spad{M} divided by \\spad{Q} form the coordinates of \\spad{d(wi)} with respect to \\spad{(w1,...,wn)} where \\spad{(w1,...,wn)} is the integral basis returned by integralBasis().")) (|integralRepresents| (($ (|Vector| |#2|) |#2|) "\\spad{integralRepresents([A1,...,An], D)} returns \\spad{(A1 w1+...+An wn)/D} where \\spad{(w1,...,wn)} is the integral basis of \\spad{integralBasis()}.")) (|integralCoordinates| (((|Record| (|:| |num| (|Vector| |#2|)) (|:| |den| |#2|)) $) "\\spad{integralCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 w1 +...+ An wn) / D} where \\spad{(w1,...,wn)} is the integral basis returned by \\spad{integralBasis()}.")) (|represents| (($ (|Vector| |#2|) |#2|) "\\spad{represents([A0,...,A(n-1)],D)} returns \\spad{(A0 + A1 y +...+ A(n-1)*y**(n-1))/D}.")) (|yCoordinates| (((|Record| (|:| |num| (|Vector| |#2|)) (|:| |den| |#2|)) $) "\\spad{yCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 + A2 y +...+ An y**(n-1)) / D}.")) (|inverseIntegralMatrixAtInfinity| (((|Matrix| (|Fraction| |#2|))) "\\spad{inverseIntegralMatrixAtInfinity()} returns \\spad{M} such that \\spad{M (v1,...,vn) = (1, y, ..., y**(n-1))} where \\spad{(v1,...,vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|integralMatrixAtInfinity| (((|Matrix| (|Fraction| |#2|))) "\\spad{integralMatrixAtInfinity()} returns \\spad{M} such that \\spad{(v1,...,vn) = M (1, y, ..., y**(n-1))} where \\spad{(v1,...,vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|inverseIntegralMatrix| (((|Matrix| (|Fraction| |#2|))) "\\spad{inverseIntegralMatrix()} returns \\spad{M} such that \\spad{M (w1,...,wn) = (1, y, ..., y**(n-1))} where \\spad{(w1,...,wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|integralMatrix| (((|Matrix| (|Fraction| |#2|))) "\\spad{integralMatrix()} returns \\spad{M} such that \\spad{(w1,...,wn) = M (1, y, ..., y**(n-1))},{} where \\spad{(w1,...,wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|reduceBasisAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{reduceBasisAtInfinity(b1,...,bn)} returns \\spad{(x**i * bj)} for all \\spad{i},{}\\spad{j} such that \\spad{x**i*bj} is locally integral at infinity.")) (|normalizeAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{normalizeAtInfinity(v)} makes \\spad{v} normal at infinity.")) (|complementaryBasis| (((|Vector| $) (|Vector| $)) "\\spad{complementaryBasis(b1,...,bn)} returns the complementary basis \\spad{(b1',...,bn')} of \\spad{(b1,...,bn)}.")) (|integral?| (((|Boolean|) $ |#2|) "\\spad{integral?(f, p)} tests whether \\spad{f} is locally integral at \\spad{p(x) = 0}.") (((|Boolean|) $ |#1|) "\\spad{integral?(f, a)} tests whether \\spad{f} is locally integral at \\spad{x = a}.") (((|Boolean|) $) "\\spad{integral?()} tests if \\spad{f} is integral over \\spad{k[x]}.")) (|integralAtInfinity?| (((|Boolean|) $) "\\spad{integralAtInfinity?()} tests if \\spad{f} is locally integral at infinity.")) (|integralBasisAtInfinity| (((|Vector| $)) "\\spad{integralBasisAtInfinity()} returns the local integral basis at infinity.")) (|integralBasis| (((|Vector| $)) "\\spad{integralBasis()} returns the integral basis for the curve.")) (|ramified?| (((|Boolean|) |#2|) "\\spad{ramified?(p)} tests whether \\spad{p(x) = 0} is ramified.") (((|Boolean|) |#1|) "\\spad{ramified?(a)} tests whether \\spad{x = a} is ramified.")) (|ramifiedAtInfinity?| (((|Boolean|)) "\\spad{ramifiedAtInfinity?()} tests if infinity is ramified.")) (|singular?| (((|Boolean|) |#2|) "\\spad{singular?(p)} tests whether \\spad{p(x) = 0} is singular.") (((|Boolean|) |#1|) "\\spad{singular?(a)} tests whether \\spad{x = a} is singular.")) (|singularAtInfinity?| (((|Boolean|)) "\\spad{singularAtInfinity?()} tests if there is a singularity at infinity.")) (|branchPoint?| (((|Boolean|) |#2|) "\\spad{branchPoint?(p)} tests whether \\spad{p(x) = 0} is a branch point.") (((|Boolean|) |#1|) "\\spad{branchPoint?(a)} tests whether \\spad{x = a} is a branch point.")) (|branchPointAtInfinity?| (((|Boolean|)) "\\spad{branchPointAtInfinity?()} tests if there is a branch point at infinity.")) (|rationalPoint?| (((|Boolean|) |#1| |#1|) "\\spad{rationalPoint?(a, b)} tests if \\spad{(x=a,y=b)} is on the curve.")) (|absolutelyIrreducible?| (((|Boolean|)) "\\spad{absolutelyIrreducible?()} tests if the curve absolutely irreducible?")) (|genus| (((|NonNegativeInteger|)) "\\spad{genus()} returns the genus of one absolutely irreducible component")) (|numberOfComponents| (((|NonNegativeInteger|)) "\\spad{numberOfComponents()} returns the number of absolutely irreducible components."))) 
-((-4457 |has| (-419 |#2|) (-374)) (-4462 |has| (-419 |#2|) (-374)) (-4456 |has| (-419 |#2|) (-374)) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4458 |has| (-419 |#2|) (-374)) (-4463 |has| (-419 |#2|) (-374)) (-4457 |has| (-419 |#2|) (-374)) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-354 |p| |extdeg|) 
 ((|constructor| (NIL "FiniteFieldCyclicGroup(\\spad{p},{}\\spad{n}) implements a finite field extension of degee \\spad{n} over the prime field with \\spad{p} elements. Its elements are represented by powers of a primitive element,{} \\spadignore{i.e.} a generator of the multiplicative (cyclic) group. As primitive element we choose the root of the extension polynomial,{} which is created by {\\em createPrimitivePoly} from \\spadtype{FiniteFieldPolynomialPackage}. The Zech logarithms are stored in a table of size half of the field size,{} and use \\spadtype{SingleInteger} for representing field elements,{} hence,{} there are restrictions on the size of the field.")) (|getZechTable| (((|PrimitiveArray| (|SingleInteger|))) "\\spad{getZechTable()} returns the zech logarithm table of the field. This table is used to perform additions in the field quickly."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((-2758 (|HasCategory| (-929 |#1|) (QUOTE (-146))) (|HasCategory| (-929 |#1|) (QUOTE (-379)))) (|HasCategory| (-929 |#1|) (QUOTE (-148))) (|HasCategory| (-929 |#1|) (QUOTE (-379))) (|HasCategory| (-929 |#1|) (QUOTE (-146)))) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((-2760 (|HasCategory| (-929 |#1|) (QUOTE (-146))) (|HasCategory| (-929 |#1|) (QUOTE (-379)))) (|HasCategory| (-929 |#1|) (QUOTE (-148))) (|HasCategory| (-929 |#1|) (QUOTE (-379))) (|HasCategory| (-929 |#1|) (QUOTE (-146)))) 
 (-355 GF |defpol|) 
 ((|constructor| (NIL "FiniteFieldCyclicGroupExtensionByPolynomial(\\spad{GF},{}defpol) implements a finite extension field of the ground field {\\em GF}. Its elements are represented by powers of a primitive element,{} \\spadignore{i.e.} a generator of the multiplicative (cyclic) group. As primitive element we choose the root of the extension polynomial {\\em defpol},{} which MUST be primitive (user responsibility). Zech logarithms are stored in a table of size half of the field size,{} and use \\spadtype{SingleInteger} for representing field elements,{} hence,{} there are restrictions on the size of the field.")) (|getZechTable| (((|PrimitiveArray| (|SingleInteger|))) "\\spad{getZechTable()} returns the zech logarithm table of the field it is used to perform additions in the field quickly."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((-2758 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((-2760 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) 
 (-356 GF |extdeg|) 
 ((|constructor| (NIL "FiniteFieldCyclicGroupExtension(\\spad{GF},{}\\spad{n}) implements a extension of degree \\spad{n} over the ground field {\\em GF}. Its elements are represented by powers of a primitive element,{} \\spadignore{i.e.} a generator of the multiplicative (cyclic) group. As primitive element we choose the root of the extension polynomial,{} which is created by {\\em createPrimitivePoly} from \\spadtype{FiniteFieldPolynomialPackage}. Zech logarithms are stored in a table of size half of the field size,{} and use \\spadtype{SingleInteger} for representing field elements,{} hence,{} there are restrictions on the size of the field.")) (|getZechTable| (((|PrimitiveArray| (|SingleInteger|))) "\\spad{getZechTable()} returns the zech logarithm table of the field. This table is used to perform additions in the field quickly."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((-2758 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((-2760 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) 
 (-357 GF) 
 ((|constructor| (NIL "FiniteFieldFunctions(\\spad{GF}) is a package with functions concerning finite extension fields of the finite ground field {\\em GF},{} \\spadignore{e.g.} Zech logarithms.")) (|createLowComplexityNormalBasis| (((|Union| (|SparseUnivariatePolynomial| |#1|) (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) (|PositiveInteger|)) "\\spad{createLowComplexityNormalBasis(n)} tries to find a a low complexity normal basis of degree {\\em n} over {\\em GF} and returns its multiplication matrix If no low complexity basis is found it calls \\axiomFunFrom{createNormalPoly}{FiniteFieldPolynomialPackage}(\\spad{n}) to produce a normal polynomial of degree {\\em n} over {\\em GF}")) (|createLowComplexityTable| (((|Union| (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|))))) "failed") (|PositiveInteger|)) "\\spad{createLowComplexityTable(n)} tries to find a low complexity normal basis of degree {\\em n} over {\\em GF} and returns its multiplication matrix Fails,{} if it does not find a low complexity basis")) (|sizeMultiplication| (((|NonNegativeInteger|) (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{sizeMultiplication(m)} returns the number of entries of the multiplication table {\\em m}.")) (|createMultiplicationMatrix| (((|Matrix| |#1|) (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{createMultiplicationMatrix(m)} forms the multiplication table {\\em m} into a matrix over the ground field.")) (|createMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|))))) (|SparseUnivariatePolynomial| |#1|)) "\\spad{createMultiplicationTable(f)} generates a multiplication table for the normal basis of the field extension determined by {\\em f}. This is needed to perform multiplications between elements represented as coordinate vectors to this basis. See \\spadtype{FFNBP},{} \\spadtype{FFNBX}.")) (|createZechTable| (((|PrimitiveArray| (|SingleInteger|)) (|SparseUnivariatePolynomial| |#1|)) "\\spad{createZechTable(f)} generates a Zech logarithm table for the cyclic group representation of a extension of the ground field by the primitive polynomial {\\em f(x)},{} \\spadignore{i.e.} \\spad{Z(i)},{} defined by {\\em x**Z(i) = 1+x**i} is stored at index \\spad{i}. This is needed in particular to perform addition of field elements in finite fields represented in this way. See \\spadtype{FFCGP},{} \\spadtype{FFCGX}."))) 
 NIL 
@@ -1370,33 +1370,33 @@ NIL
 NIL 
 (-360) 
 ((|constructor| (NIL "FiniteFieldCategory is the category of finite fields")) (|representationType| (((|Union| "prime" "polynomial" "normal" "cyclic")) "\\spad{representationType()} returns the type of the representation,{} one of: \\spad{prime},{} \\spad{polynomial},{} \\spad{normal},{} or \\spad{cyclic}.")) (|order| (((|PositiveInteger|) $) "\\spad{order(b)} computes the order of an element \\spad{b} in the multiplicative group of the field. Error: if \\spad{b} equals 0.")) (|discreteLog| (((|NonNegativeInteger|) $) "\\spad{discreteLog(a)} computes the discrete logarithm of \\spad{a} with respect to \\spad{primitiveElement()} of the field.")) (|primitive?| (((|Boolean|) $) "\\spad{primitive?(b)} tests whether the element \\spad{b} is a generator of the (cyclic) multiplicative group of the field,{} \\spadignore{i.e.} is a primitive element. Implementation Note: see \\spad{ch}.IX.1.3,{} th.2 in \\spad{D}. Lipson.")) (|primitiveElement| (($) "\\spad{primitiveElement()} returns a primitive element stored in a global variable in the domain. At first call,{} the primitive element is computed by calling \\spadfun{createPrimitiveElement}.")) (|createPrimitiveElement| (($) "\\spad{createPrimitiveElement()} computes a generator of the (cyclic) multiplicative group of the field.")) (|tableForDiscreteLogarithm| (((|Table| (|PositiveInteger|) (|NonNegativeInteger|)) (|Integer|)) "\\spad{tableForDiscreteLogarithm(a,n)} returns a table of the discrete logarithms of \\spad{a**0} up to \\spad{a**(n-1)} which,{} called with key \\spad{lookup(a**i)} returns \\spad{i} for \\spad{i} in \\spad{0..n-1}. Error: if not called for prime divisors of order of \\indented{7}{multiplicative group.}")) (|factorsOfCyclicGroupSize| (((|List| (|Record| (|:| |factor| (|Integer|)) (|:| |exponent| (|Integer|))))) "\\spad{factorsOfCyclicGroupSize()} returns the factorization of size()\\spad{-1}")) (|conditionP| (((|Union| (|Vector| $) "failed") (|Matrix| $)) "\\spad{conditionP(mat)},{} given a matrix representing a homogeneous system of equations,{} returns a vector whose characteristic'th powers is a non-trivial solution,{} or \"failed\" if no such vector exists.")) (|charthRoot| (($ $) "\\spad{charthRoot(a)} takes the characteristic'th root of {\\em a}. Note: such a root is alway defined in finite fields."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
-(-361 R UP -1959) 
+(-361 R UP -1962) 
 ((|constructor| (NIL "In this package \\spad{R} is a Euclidean domain and \\spad{F} is a framed algebra over \\spad{R}. The package provides functions to compute the integral closure of \\spad{R} in the quotient field of \\spad{F}. It is assumed that \\spad{char(R/P) = char(R)} for any prime \\spad{P} of \\spad{R}. A typical instance of this is when \\spad{R = K[x]} and \\spad{F} is a function field over \\spad{R}.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) |#1|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the integral closure of \\spad{R} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}"))) 
 NIL 
 NIL 
 (-362 |p| |extdeg|) 
 ((|constructor| (NIL "FiniteFieldNormalBasis(\\spad{p},{}\\spad{n}) implements a finite extension field of degree \\spad{n} over the prime field with \\spad{p} elements. The elements are represented by coordinate vectors with respect to a normal basis,{} \\spadignore{i.e.} a basis consisting of the conjugates (\\spad{q}-powers) of an element,{} in this case called normal element. This is chosen as a root of the extension polynomial created by \\spadfunFrom{createNormalPoly}{FiniteFieldPolynomialPackage}.")) (|sizeMultiplication| (((|NonNegativeInteger|)) "\\spad{sizeMultiplication()} returns the number of entries in the multiplication table of the field. Note: The time of multiplication of field elements depends on this size.")) (|getMultiplicationMatrix| (((|Matrix| (|PrimeField| |#1|))) "\\spad{getMultiplicationMatrix()} returns the multiplication table in form of a matrix.")) (|getMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| (|PrimeField| |#1|)) (|:| |index| (|SingleInteger|)))))) "\\spad{getMultiplicationTable()} returns the multiplication table for the normal basis of the field. This table is used to perform multiplications between field elements."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((-2758 (|HasCategory| (-929 |#1|) (QUOTE (-146))) (|HasCategory| (-929 |#1|) (QUOTE (-379)))) (|HasCategory| (-929 |#1|) (QUOTE (-148))) (|HasCategory| (-929 |#1|) (QUOTE (-379))) (|HasCategory| (-929 |#1|) (QUOTE (-146)))) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((-2760 (|HasCategory| (-929 |#1|) (QUOTE (-146))) (|HasCategory| (-929 |#1|) (QUOTE (-379)))) (|HasCategory| (-929 |#1|) (QUOTE (-148))) (|HasCategory| (-929 |#1|) (QUOTE (-379))) (|HasCategory| (-929 |#1|) (QUOTE (-146)))) 
 (-363 GF |uni|) 
 ((|constructor| (NIL "FiniteFieldNormalBasisExtensionByPolynomial(\\spad{GF},{}uni) implements a finite extension of the ground field {\\em GF}. The elements are represented by coordinate vectors with respect to. a normal basis,{} \\spadignore{i.e.} a basis consisting of the conjugates (\\spad{q}-powers) of an element,{} in this case called normal element,{} where \\spad{q} is the size of {\\em GF}. The normal element is chosen as a root of the extension polynomial,{} which MUST be normal over {\\em GF} (user responsibility)")) (|sizeMultiplication| (((|NonNegativeInteger|)) "\\spad{sizeMultiplication()} returns the number of entries in the multiplication table of the field. Note: the time of multiplication of field elements depends on this size.")) (|getMultiplicationMatrix| (((|Matrix| |#1|)) "\\spad{getMultiplicationMatrix()} returns the multiplication table in form of a matrix.")) (|getMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{getMultiplicationTable()} returns the multiplication table for the normal basis of the field. This table is used to perform multiplications between field elements."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((-2758 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((-2760 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) 
 (-364 GF |extdeg|) 
 ((|constructor| (NIL "FiniteFieldNormalBasisExtensionByPolynomial(\\spad{GF},{}\\spad{n}) implements a finite extension field of degree \\spad{n} over the ground field {\\em GF}. The elements are represented by coordinate vectors with respect to a normal basis,{} \\spadignore{i.e.} a basis consisting of the conjugates (\\spad{q}-powers) of an element,{} in this case called normal element. This is chosen as a root of the extension polynomial,{} created by {\\em createNormalPoly} from \\spadtype{FiniteFieldPolynomialPackage}")) (|sizeMultiplication| (((|NonNegativeInteger|)) "\\spad{sizeMultiplication()} returns the number of entries in the multiplication table of the field. Note: the time of multiplication of field elements depends on this size.")) (|getMultiplicationMatrix| (((|Matrix| |#1|)) "\\spad{getMultiplicationMatrix()} returns the multiplication table in form of a matrix.")) (|getMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{getMultiplicationTable()} returns the multiplication table for the normal basis of the field. This table is used to perform multiplications between field elements."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((-2758 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((-2760 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) 
 (-365 |p| |n|) 
 ((|constructor| (NIL "FiniteField(\\spad{p},{}\\spad{n}) implements finite fields with p**n elements. This packages checks that \\spad{p} is prime. For a non-checking version,{} see \\spadtype{InnerFiniteField}."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((-2758 (|HasCategory| (-929 |#1|) (QUOTE (-146))) (|HasCategory| (-929 |#1|) (QUOTE (-379)))) (|HasCategory| (-929 |#1|) (QUOTE (-148))) (|HasCategory| (-929 |#1|) (QUOTE (-379))) (|HasCategory| (-929 |#1|) (QUOTE (-146)))) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((-2760 (|HasCategory| (-929 |#1|) (QUOTE (-146))) (|HasCategory| (-929 |#1|) (QUOTE (-379)))) (|HasCategory| (-929 |#1|) (QUOTE (-148))) (|HasCategory| (-929 |#1|) (QUOTE (-379))) (|HasCategory| (-929 |#1|) (QUOTE (-146)))) 
 (-366 GF |defpol|) 
 ((|constructor| (NIL "FiniteFieldExtensionByPolynomial(\\spad{GF},{} defpol) implements the extension of the finite field {\\em GF} generated by the extension polynomial {\\em defpol} which MUST be irreducible. Note: the user has the responsibility to ensure that {\\em defpol} is irreducible."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((-2758 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) 
-(-367 -1959 GF) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((-2760 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) 
+(-367 -1962 GF) 
 ((|constructor| (NIL "FiniteFieldPolynomialPackage2(\\spad{F},{}\\spad{GF}) exports some functions concerning finite fields,{} which depend on a finite field {\\em GF} and an algebraic extension \\spad{F} of {\\em GF},{} \\spadignore{e.g.} a zero of a polynomial over {\\em GF} in \\spad{F}.")) (|rootOfIrreduciblePoly| ((|#1| (|SparseUnivariatePolynomial| |#2|)) "\\spad{rootOfIrreduciblePoly(f)} computes one root of the monic,{} irreducible polynomial \\spad{f},{} which degree must divide the extension degree of {\\em F} over {\\em GF},{} \\spadignore{i.e.} \\spad{f} splits into linear factors over {\\em F}.")) (|Frobenius| ((|#1| |#1|) "\\spad{Frobenius(x)} \\undocumented{}")) (|basis| (((|Vector| |#1|) (|PositiveInteger|)) "\\spad{basis(n)} \\undocumented{}")) (|lookup| (((|PositiveInteger|) |#1|) "\\spad{lookup(x)} \\undocumented{}")) (|coerce| ((|#1| |#2|) "\\spad{coerce(x)} \\undocumented{}"))) 
 NIL 
 NIL 
@@ -1404,21 +1404,21 @@ NIL
 ((|constructor| (NIL "This package provides a number of functions for generating,{} counting and testing irreducible,{} normal,{} primitive,{} random polynomials over finite fields.")) (|reducedQPowers| (((|PrimitiveArray| (|SparseUnivariatePolynomial| |#1|)) (|SparseUnivariatePolynomial| |#1|)) "\\spad{reducedQPowers(f)} generates \\spad{[x,x**q,x**(q**2),...,x**(q**(n-1))]} reduced modulo \\spad{f} where \\spad{q = size()\\$GF} and \\spad{n = degree f}.")) (|leastAffineMultiple| (((|SparseUnivariatePolynomial| |#1|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{leastAffineMultiple(f)} computes the least affine polynomial which is divisible by the polynomial \\spad{f} over the finite field {\\em GF},{} \\spadignore{i.e.} a polynomial whose exponents are 0 or a power of \\spad{q},{} the size of {\\em GF}.")) (|random| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|) (|PositiveInteger|)) "\\spad{random(m,n)}\\$FFPOLY(\\spad{GF}) generates a random monic polynomial of degree \\spad{d} over the finite field {\\em GF},{} \\spad{d} between \\spad{m} and \\spad{n}.") (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{random(n)}\\$FFPOLY(\\spad{GF}) generates a random monic polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|nextPrimitiveNormalPoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextPrimitiveNormalPoly(f)} yields the next primitive normal polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the constant term of \\spad{f} is less than this number for \\spad{g} or,{} in case these numbers are equal,{} if the {\\em lookup} of the coefficient of the term of degree {\\em n-1} of \\spad{f} is less than this number for \\spad{g}. If these numbers are equals,{} \\spad{f < g} if the number of monomials of \\spad{f} is less than that for \\spad{g},{} or if the lists of exponents for \\spad{f} are lexicographically less than those for \\spad{g}. If these lists are also equal,{} the lists of coefficients are coefficients according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}. This operation is equivalent to nextNormalPrimitivePoly(\\spad{f}).")) (|nextNormalPrimitivePoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextNormalPrimitivePoly(f)} yields the next normal primitive polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the constant term of \\spad{f} is less than this number for \\spad{g} or if {\\em lookup} of the coefficient of the term of degree {\\em n-1} of \\spad{f} is less than this number for \\spad{g}. Otherwise,{} \\spad{f < g} if the number of monomials of \\spad{f} is less than that for \\spad{g} or if the lists of exponents for \\spad{f} are lexicographically less than those for \\spad{g}. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}. This operation is equivalent to nextPrimitiveNormalPoly(\\spad{f}).")) (|nextNormalPoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextNormalPoly(f)} yields the next normal polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the coefficient of the term of degree {\\em n-1} of \\spad{f} is less than that for \\spad{g}. In case these numbers are equal,{} \\spad{f < g} if if the number of monomials of \\spad{f} is less that for \\spad{g} or if the list of exponents of \\spad{f} are lexicographically less than the corresponding list for \\spad{g}. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}.")) (|nextPrimitivePoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextPrimitivePoly(f)} yields the next primitive polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the constant term of \\spad{f} is less than this number for \\spad{g}. If these values are equal,{} then \\spad{f < g} if if the number of monomials of \\spad{f} is less than that for \\spad{g} or if the lists of exponents of \\spad{f} are lexicographically less than the corresponding list for \\spad{g}. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}.")) (|nextIrreduciblePoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextIrreduciblePoly(f)} yields the next monic irreducible polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the number of monomials of \\spad{f} is less than this number for \\spad{g}. If \\spad{f} and \\spad{g} have the same number of monomials,{} the lists of exponents are compared lexicographically. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}.")) (|createPrimitiveNormalPoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createPrimitiveNormalPoly(n)}\\$FFPOLY(\\spad{GF}) generates a normal and primitive polynomial of degree \\spad{n} over the field {\\em GF}. polynomial of degree \\spad{n} over the field {\\em GF}.")) (|createNormalPrimitivePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createNormalPrimitivePoly(n)}\\$FFPOLY(\\spad{GF}) generates a normal and primitive polynomial of degree \\spad{n} over the field {\\em GF}. Note: this function is equivalent to createPrimitiveNormalPoly(\\spad{n})")) (|createNormalPoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createNormalPoly(n)}\\$FFPOLY(\\spad{GF}) generates a normal polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|createPrimitivePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createPrimitivePoly(n)}\\$FFPOLY(\\spad{GF}) generates a primitive polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|createIrreduciblePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createIrreduciblePoly(n)}\\$FFPOLY(\\spad{GF}) generates a monic irreducible univariate polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfNormalPoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfNormalPoly(n)}\\$FFPOLY(\\spad{GF}) yields the number of normal polynomials of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfPrimitivePoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfPrimitivePoly(n)}\\$FFPOLY(\\spad{GF}) yields the number of primitive polynomials of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfIrreduciblePoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfIrreduciblePoly(n)}\\$FFPOLY(\\spad{GF}) yields the number of monic irreducible univariate polynomials of degree \\spad{n} over the finite field {\\em GF}.")) (|normal?| (((|Boolean|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{normal?(f)} tests whether the polynomial \\spad{f} over a finite field is normal,{} \\spadignore{i.e.} its roots are linearly independent over the field.")) (|primitive?| (((|Boolean|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{primitive?(f)} tests whether the polynomial \\spad{f} over a finite field is primitive,{} \\spadignore{i.e.} all its roots are primitive."))) 
 NIL 
 NIL 
-(-369 -1959 FP FPP) 
+(-369 -1962 FP FPP) 
 ((|constructor| (NIL "This package solves linear diophantine equations for Bivariate polynomials over finite fields")) (|solveLinearPolynomialEquation| (((|Union| (|List| |#3|) "failed") (|List| |#3|) |#3|) "\\spad{solveLinearPolynomialEquation([f1, ..., fn], g)} (where the \\spad{fi} are relatively prime to each other) returns a list of \\spad{ai} such that \\spad{g/prod fi = sum ai/fi} or returns \"failed\" if no such list of \\spad{ai}\\spad{'s} exists."))) 
 NIL 
 NIL 
 (-370 GF |n|) 
 ((|constructor| (NIL "FiniteFieldExtensionByPolynomial(\\spad{GF},{} \\spad{n}) implements an extension of the finite field {\\em GF} of degree \\spad{n} generated by the extension polynomial constructed by \\spadfunFrom{createIrreduciblePoly}{FiniteFieldPolynomialPackage} from \\spadtype{FiniteFieldPolynomialPackage}."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((-2758 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((-2760 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) 
 (-371 R |ls|) 
 ((|constructor| (NIL "This is just an interface between several packages and domains. The goal is to compute lexicographical Groebner bases of sets of polynomial with type \\spadtype{Polynomial R} by the {\\em FGLM} algorithm if this is possible (\\spadignore{i.e.} if the input system generates a zero-dimensional ideal).")) (|groebner| (((|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|))) "\\axiom{groebner(\\spad{lq1})} returns the lexicographical Groebner basis of \\axiom{\\spad{lq1}}. If \\axiom{\\spad{lq1}} generates a zero-dimensional ideal then the {\\em FGLM} strategy is used,{} otherwise the {\\em Sugar} strategy is used.")) (|fglmIfCan| (((|Union| (|List| (|Polynomial| |#1|)) "failed") (|List| (|Polynomial| |#1|))) "\\axiom{fglmIfCan(\\spad{lq1})} returns the lexicographical Groebner basis of \\axiom{\\spad{lq1}} by using the {\\em FGLM} strategy,{} if \\axiom{zeroDimensional?(\\spad{lq1})} holds.")) (|zeroDimensional?| (((|Boolean|) (|List| (|Polynomial| |#1|))) "\\axiom{zeroDimensional?(\\spad{lq1})} returns \\spad{true} iff \\axiom{\\spad{lq1}} generates a zero-dimensional ideal \\spad{w}.\\spad{r}.\\spad{t}. the variables of \\axiom{\\spad{ls}}."))) 
 NIL 
 NIL 
 (-372 S) 
 ((|constructor| (NIL "The free group on a set \\spad{S} is the group of finite products of the form \\spad{reduce(*,[si ** ni])} where the \\spad{si}\\spad{'s} are in \\spad{S},{} and the \\spad{ni}\\spad{'s} are integers. The multiplication is not commutative.")) (|factors| (((|List| (|Record| (|:| |gen| |#1|) (|:| |exp| (|Integer|)))) $) "\\spad{factors(a1\\^e1,...,an\\^en)} returns \\spad{[[a1, e1],...,[an, en]]}.")) (|mapGen| (($ (|Mapping| |#1| |#1|) $) "\\spad{mapGen(f, a1\\^e1 ... an\\^en)} returns \\spad{f(a1)\\^e1 ... f(an)\\^en}.")) (|mapExpon| (($ (|Mapping| (|Integer|) (|Integer|)) $) "\\spad{mapExpon(f, a1\\^e1 ... an\\^en)} returns \\spad{a1\\^f(e1) ... an\\^f(en)}.")) (|nthFactor| ((|#1| $ (|Integer|)) "\\spad{nthFactor(x, n)} returns the factor of the n^th monomial of \\spad{x}.")) (|nthExpon| (((|Integer|) $ (|Integer|)) "\\spad{nthExpon(x, n)} returns the exponent of the n^th monomial of \\spad{x}.")) (|size| (((|NonNegativeInteger|) $) "\\spad{size(x)} returns the number of monomials in \\spad{x}.")) (** (($ |#1| (|Integer|)) "\\spad{s ** n} returns the product of \\spad{s} by itself \\spad{n} times.")) (* (($ $ |#1|) "\\spad{x * s} returns the product of \\spad{x} by \\spad{s} on the right.") (($ |#1| $) "\\spad{s * x} returns the product of \\spad{x} by \\spad{s} on the left."))) 
-((-4461 . T)) 
+((-4462 . T)) 
 NIL 
 (-373 S) 
 ((|constructor| (NIL "The category of commutative fields,{} \\spadignore{i.e.} commutative rings where all non-zero elements have multiplicative inverses. The \\spadfun{factor} operation while trivial is useful to have defined. \\blankline")) (|canonicalsClosed| ((|attribute|) "since \\spad{0*0=0},{} \\spad{1*1=1}")) (|canonicalUnitNormal| ((|attribute|) "either 0 or 1.")) (/ (($ $ $) "\\spad{x/y} divides the element \\spad{x} by the element \\spad{y}. Error: if \\spad{y} is 0."))) 
@@ -1426,7 +1426,7 @@ NIL
 NIL 
 (-374) 
 ((|constructor| (NIL "The category of commutative fields,{} \\spadignore{i.e.} commutative rings where all non-zero elements have multiplicative inverses. The \\spadfun{factor} operation while trivial is useful to have defined. \\blankline")) (|canonicalsClosed| ((|attribute|) "since \\spad{0*0=0},{} \\spad{1*1=1}")) (|canonicalUnitNormal| ((|attribute|) "either 0 or 1.")) (/ (($ $ $) "\\spad{x/y} divides the element \\spad{x} by the element \\spad{y}. Error: if \\spad{y} is 0."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-375 |Name| S) 
 ((|constructor| (NIL "This category provides an interface to operate on files in the computer\\spad{'s} file system. The precise method of naming files is determined by the Name parameter. The type of the contents of the file is determined by \\spad{S}.")) (|write!| ((|#2| $ |#2|) "\\spad{write!(f,s)} puts the value \\spad{s} into the file \\spad{f}. The state of \\spad{f} is modified so subsequents call to \\spad{write!} will append one after another.")) (|read!| ((|#2| $) "\\spad{read!(f)} extracts a value from file \\spad{f}. The state of \\spad{f} is modified so a subsequent call to \\spadfun{read!} will return the next element.")) (|iomode| (((|String|) $) "\\spad{iomode(f)} returns the status of the file \\spad{f}. The input/output status of \\spad{f} may be \"input\",{} \"output\" or \"closed\" mode.")) (|name| ((|#1| $) "\\spad{name(f)} returns the external name of the file \\spad{f}.")) (|close!| (($ $) "\\spad{close!(f)} returns the file \\spad{f} closed to input and output.")) (|reopen!| (($ $ (|String|)) "\\spad{reopen!(f,mode)} returns a file \\spad{f} reopened for operation in the indicated mode: \"input\" or \"output\". \\spad{reopen!(f,\"input\")} will reopen the file \\spad{f} for input.")) (|open| (($ |#1| (|String|)) "\\spad{open(s,mode)} returns a file \\spad{s} open for operation in the indicated mode: \"input\" or \"output\".") (($ |#1|) "\\spad{open(s)} returns the file \\spad{s} open for input."))) 
@@ -1442,7 +1442,7 @@ NIL
 ((|HasCategory| |#2| (QUOTE (-568)))) 
 (-378 R) 
 ((|constructor| (NIL "A FiniteRankNonAssociativeAlgebra is a non associative algebra over a commutative ring \\spad{R} which is a free \\spad{R}-module of finite rank.")) (|unitsKnown| ((|attribute|) "unitsKnown means that \\spadfun{recip} truly yields reciprocal or \\spad{\"failed\"} if not a unit,{} similarly for \\spadfun{leftRecip} and \\spadfun{rightRecip}. The reason is that we use left,{} respectively right,{} minimal polynomials to decide this question.")) (|unit| (((|Union| $ "failed")) "\\spad{unit()} returns a unit of the algebra (necessarily unique),{} or \\spad{\"failed\"} if there is none.")) (|rightUnit| (((|Union| $ "failed")) "\\spad{rightUnit()} returns a right unit of the algebra (not necessarily unique),{} or \\spad{\"failed\"} if there is none.")) (|leftUnit| (((|Union| $ "failed")) "\\spad{leftUnit()} returns a left unit of the algebra (not necessarily unique),{} or \\spad{\"failed\"} if there is none.")) (|rightUnits| (((|Union| (|Record| (|:| |particular| $) (|:| |basis| (|List| $))) "failed")) "\\spad{rightUnits()} returns the affine space of all right units of the algebra,{} or \\spad{\"failed\"} if there is none.")) (|leftUnits| (((|Union| (|Record| (|:| |particular| $) (|:| |basis| (|List| $))) "failed")) "\\spad{leftUnits()} returns the affine space of all left units of the algebra,{} or \\spad{\"failed\"} if there is none.")) (|rightMinimalPolynomial| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{rightMinimalPolynomial(a)} returns the polynomial determined by the smallest non-trivial linear combination of right powers of \\spad{a}. Note: the polynomial never has a constant term as in general the algebra has no unit.")) (|leftMinimalPolynomial| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{leftMinimalPolynomial(a)} returns the polynomial determined by the smallest non-trivial linear combination of left powers of \\spad{a}. Note: the polynomial never has a constant term as in general the algebra has no unit.")) (|associatorDependence| (((|List| (|Vector| |#1|))) "\\spad{associatorDependence()} looks for the associator identities,{} \\spadignore{i.e.} finds a basis of the solutions of the linear combinations of the six permutations of \\spad{associator(a,b,c)} which yield 0,{} for all \\spad{a},{}\\spad{b},{}\\spad{c} in the algebra. The order of the permutations is \\spad{123 231 312 132 321 213}.")) (|rightRecip| (((|Union| $ "failed") $) "\\spad{rightRecip(a)} returns an element,{} which is a right inverse of \\spad{a},{} or \\spad{\"failed\"} if there is no unit element,{} if such an element doesn\\spad{'t} exist or cannot be determined (see unitsKnown).")) (|leftRecip| (((|Union| $ "failed") $) "\\spad{leftRecip(a)} returns an element,{} which is a left inverse of \\spad{a},{} or \\spad{\"failed\"} if there is no unit element,{} if such an element doesn\\spad{'t} exist or cannot be determined (see unitsKnown).")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(a)} returns an element,{} which is both a left and a right inverse of \\spad{a},{} or \\spad{\"failed\"} if there is no unit element,{} if such an element doesn\\spad{'t} exist or cannot be determined (see unitsKnown).")) (|lieAlgebra?| (((|Boolean|)) "\\spad{lieAlgebra?()} tests if the algebra is anticommutative and \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} for all \\spad{a},{}\\spad{b},{}\\spad{c} in the algebra (Jacobi identity). Example: for every associative algebra \\spad{(A,+,@)} we can construct a Lie algebra \\spad{(A,+,*)},{} where \\spad{a*b := a@b-b@a}.")) (|jordanAlgebra?| (((|Boolean|)) "\\spad{jordanAlgebra?()} tests if the algebra is commutative,{} characteristic is not 2,{} and \\spad{(a*b)*a**2 - a*(b*a**2) = 0} for all \\spad{a},{}\\spad{b},{}\\spad{c} in the algebra (Jordan identity). Example: for every associative algebra \\spad{(A,+,@)} we can construct a Jordan algebra \\spad{(A,+,*)},{} where \\spad{a*b := (a@b+b@a)/2}.")) (|noncommutativeJordanAlgebra?| (((|Boolean|)) "\\spad{noncommutativeJordanAlgebra?()} tests if the algebra is flexible and Jordan admissible.")) (|jordanAdmissible?| (((|Boolean|)) "\\spad{jordanAdmissible?()} tests if 2 is invertible in the coefficient domain and the multiplication defined by \\spad{(1/2)(a*b+b*a)} determines a Jordan algebra,{} \\spadignore{i.e.} satisfies the Jordan identity. The property of \\spadatt{commutative(\\spad{\"*\"})} follows from by definition.")) (|lieAdmissible?| (((|Boolean|)) "\\spad{lieAdmissible?()} tests if the algebra defined by the commutators is a Lie algebra,{} \\spadignore{i.e.} satisfies the Jacobi identity. The property of anticommutativity follows from definition.")) (|jacobiIdentity?| (((|Boolean|)) "\\spad{jacobiIdentity?()} tests if \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} for all \\spad{a},{}\\spad{b},{}\\spad{c} in the algebra. For example,{} this holds for crossed products of 3-dimensional vectors.")) (|powerAssociative?| (((|Boolean|)) "\\spad{powerAssociative?()} tests if all subalgebras generated by a single element are associative.")) (|alternative?| (((|Boolean|)) "\\spad{alternative?()} tests if \\spad{2*associator(a,a,b) = 0 = 2*associator(a,b,b)} for all \\spad{a},{} \\spad{b} in the algebra. Note: we only can test this; in general we don\\spad{'t} know whether \\spad{2*a=0} implies \\spad{a=0}.")) (|flexible?| (((|Boolean|)) "\\spad{flexible?()} tests if \\spad{2*associator(a,b,a) = 0} for all \\spad{a},{} \\spad{b} in the algebra. Note: we only can test this; in general we don\\spad{'t} know whether \\spad{2*a=0} implies \\spad{a=0}.")) (|rightAlternative?| (((|Boolean|)) "\\spad{rightAlternative?()} tests if \\spad{2*associator(a,b,b) = 0} for all \\spad{a},{} \\spad{b} in the algebra. Note: we only can test this; in general we don\\spad{'t} know whether \\spad{2*a=0} implies \\spad{a=0}.")) (|leftAlternative?| (((|Boolean|)) "\\spad{leftAlternative?()} tests if \\spad{2*associator(a,a,b) = 0} for all \\spad{a},{} \\spad{b} in the algebra. Note: we only can test this; in general we don\\spad{'t} know whether \\spad{2*a=0} implies \\spad{a=0}.")) (|antiAssociative?| (((|Boolean|)) "\\spad{antiAssociative?()} tests if multiplication in algebra is anti-associative,{} \\spadignore{i.e.} \\spad{(a*b)*c + a*(b*c) = 0} for all \\spad{a},{}\\spad{b},{}\\spad{c} in the algebra.")) (|associative?| (((|Boolean|)) "\\spad{associative?()} tests if multiplication in algebra is associative.")) (|antiCommutative?| (((|Boolean|)) "\\spad{antiCommutative?()} tests if \\spad{a*a = 0} for all \\spad{a} in the algebra. Note: this implies \\spad{a*b + b*a = 0} for all \\spad{a} and \\spad{b}.")) (|commutative?| (((|Boolean|)) "\\spad{commutative?()} tests if multiplication in the algebra is commutative.")) (|rightCharacteristicPolynomial| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{rightCharacteristicPolynomial(a)} returns the characteristic polynomial of the right regular representation of \\spad{a} with respect to any basis.")) (|leftCharacteristicPolynomial| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{leftCharacteristicPolynomial(a)} returns the characteristic polynomial of the left regular representation of \\spad{a} with respect to any basis.")) (|rightTraceMatrix| (((|Matrix| |#1|) (|Vector| $)) "\\spad{rightTraceMatrix([v1,...,vn])} is the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the right trace of the product \\spad{vi*vj}.")) (|leftTraceMatrix| (((|Matrix| |#1|) (|Vector| $)) "\\spad{leftTraceMatrix([v1,...,vn])} is the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the left trace of the product \\spad{vi*vj}.")) (|rightDiscriminant| ((|#1| (|Vector| $)) "\\spad{rightDiscriminant([v1,...,vn])} returns the determinant of the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the right trace of the product \\spad{vi*vj}. Note: the same as \\spad{determinant(rightTraceMatrix([v1,...,vn]))}.")) (|leftDiscriminant| ((|#1| (|Vector| $)) "\\spad{leftDiscriminant([v1,...,vn])} returns the determinant of the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the left trace of the product \\spad{vi*vj}. Note: the same as \\spad{determinant(leftTraceMatrix([v1,...,vn]))}.")) (|represents| (($ (|Vector| |#1|) (|Vector| $)) "\\spad{represents([a1,...,am],[v1,...,vm])} returns the linear combination \\spad{a1*vm + ... + an*vm}.")) (|coordinates| (((|Matrix| |#1|) (|Vector| $) (|Vector| $)) "\\spad{coordinates([a1,...,am],[v1,...,vn])} returns a matrix whose \\spad{i}-th row is formed by the coordinates of \\spad{ai} with respect to the \\spad{R}-module basis \\spad{v1},{}...,{}\\spad{vn}.") (((|Vector| |#1|) $ (|Vector| $)) "\\spad{coordinates(a,[v1,...,vn])} returns the coordinates of \\spad{a} with respect to the \\spad{R}-module basis \\spad{v1},{}...,{}\\spad{vn}.")) (|rightNorm| ((|#1| $) "\\spad{rightNorm(a)} returns the determinant of the right regular representation of \\spad{a}.")) (|leftNorm| ((|#1| $) "\\spad{leftNorm(a)} returns the determinant of the left regular representation of \\spad{a}.")) (|rightTrace| ((|#1| $) "\\spad{rightTrace(a)} returns the trace of the right regular representation of \\spad{a}.")) (|leftTrace| ((|#1| $) "\\spad{leftTrace(a)} returns the trace of the left regular representation of \\spad{a}.")) (|rightRegularRepresentation| (((|Matrix| |#1|) $ (|Vector| $)) "\\spad{rightRegularRepresentation(a,[v1,...,vn])} returns the matrix of the linear map defined by right multiplication by \\spad{a} with respect to the \\spad{R}-module basis \\spad{[v1,...,vn]}.")) (|leftRegularRepresentation| (((|Matrix| |#1|) $ (|Vector| $)) "\\spad{leftRegularRepresentation(a,[v1,...,vn])} returns the matrix of the linear map defined by left multiplication by \\spad{a} with respect to the \\spad{R}-module basis \\spad{[v1,...,vn]}.")) (|structuralConstants| (((|Vector| (|Matrix| |#1|)) (|Vector| $)) "\\spad{structuralConstants([v1,v2,...,vm])} calculates the structural constants \\spad{[(gammaijk) for k in 1..m]} defined by \\spad{vi * vj = gammaij1 * v1 + ... + gammaijm * vm},{} where \\spad{[v1,...,vm]} is an \\spad{R}-module basis of a subalgebra.")) (|conditionsForIdempotents| (((|List| (|Polynomial| |#1|)) (|Vector| $)) "\\spad{conditionsForIdempotents([v1,...,vn])} determines a complete list of polynomial equations for the coefficients of idempotents with respect to the \\spad{R}-module basis \\spad{v1},{}...,{}\\spad{vn}.")) (|rank| (((|PositiveInteger|)) "\\spad{rank()} returns the rank of the algebra as \\spad{R}-module.")) (|someBasis| (((|Vector| $)) "\\spad{someBasis()} returns some \\spad{R}-module basis."))) 
-((-4461 |has| |#1| (-568)) (-4459 . T) (-4458 . T)) 
+((-4462 |has| |#1| (-568)) (-4460 . T) (-4459 . T)) 
 NIL 
 (-379) 
 ((|constructor| (NIL "The category of domains composed of a finite set of elements. We include the functions \\spadfun{lookup} and \\spadfun{index} to give a bijection between the finite set and an initial segment of positive integers. \\blankline")) (|random| (($) "\\spad{random()} returns a random element from the set.")) (|lookup| (((|PositiveInteger|) $) "\\spad{lookup(x)} returns a positive integer such that \\spad{x = index lookup x}.")) (|index| (($ (|PositiveInteger|)) "\\spad{index(i)} takes a positive integer \\spad{i} less than or equal to \\spad{size()} and returns the \\spad{i}\\spad{-}th element of the set. This operation establishs a bijection between the elements of the finite set and \\spad{1..size()}.")) (|size| (((|NonNegativeInteger|)) "\\spad{size()} returns the number of elements in the set."))) 
@@ -1454,7 +1454,7 @@ NIL
 ((|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-374)))) 
 (-381 R UP) 
 ((|constructor| (NIL "A FiniteRankAlgebra is an algebra over a commutative ring \\spad{R} which is a free \\spad{R}-module of finite rank.")) (|minimalPolynomial| ((|#2| $) "\\spad{minimalPolynomial(a)} returns the minimal polynomial of \\spad{a}.")) (|characteristicPolynomial| ((|#2| $) "\\spad{characteristicPolynomial(a)} returns the characteristic polynomial of the regular representation of \\spad{a} with respect to any basis.")) (|traceMatrix| (((|Matrix| |#1|) (|Vector| $)) "\\spad{traceMatrix([v1,..,vn])} is the \\spad{n}-by-\\spad{n} matrix ( \\spad{Tr}(\\spad{vi} * \\spad{vj}) )")) (|discriminant| ((|#1| (|Vector| $)) "\\spad{discriminant([v1,..,vn])} returns \\spad{determinant(traceMatrix([v1,..,vn]))}.")) (|represents| (($ (|Vector| |#1|) (|Vector| $)) "\\spad{represents([a1,..,an],[v1,..,vn])} returns \\spad{a1*v1 + ... + an*vn}.")) (|coordinates| (((|Matrix| |#1|) (|Vector| $) (|Vector| $)) "\\spad{coordinates([v1,...,vm], basis)} returns the coordinates of the \\spad{vi}\\spad{'s} with to the basis \\spad{basis}. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#1|) $ (|Vector| $)) "\\spad{coordinates(a,basis)} returns the coordinates of \\spad{a} with respect to the \\spad{basis} \\spad{basis}.")) (|norm| ((|#1| $) "\\spad{norm(a)} returns the determinant of the regular representation of \\spad{a} with respect to any basis.")) (|trace| ((|#1| $) "\\spad{trace(a)} returns the trace of the regular representation of \\spad{a} with respect to any basis.")) (|regularRepresentation| (((|Matrix| |#1|) $ (|Vector| $)) "\\spad{regularRepresentation(a,basis)} returns the matrix of the linear map defined by left multiplication by \\spad{a} with respect to the \\spad{basis} \\spad{basis}.")) (|rank| (((|PositiveInteger|)) "\\spad{rank()} returns the rank of the algebra."))) 
-((-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-382 S A R B) 
 ((|constructor| (NIL "FiniteLinearAggregateFunctions2 provides functions involving two FiniteLinearAggregates where the underlying domains might be different. An example of this might be creating a list of rational numbers by mapping a function across a list of integers where the function divides each integer by 1000.")) (|scan| ((|#4| (|Mapping| |#3| |#1| |#3|) |#2| |#3|) "\\spad{scan(f,a,r)} successively applies \\spad{reduce(f,x,r)} to more and more leading sub-aggregates \\spad{x} of aggregrate \\spad{a}. More precisely,{} if \\spad{a} is \\spad{[a1,a2,...]},{} then \\spad{scan(f,a,r)} returns \\spad{[reduce(f,[a1],r),reduce(f,[a1,a2],r),...]}.")) (|reduce| ((|#3| (|Mapping| |#3| |#1| |#3|) |#2| |#3|) "\\spad{reduce(f,a,r)} applies function \\spad{f} to each successive element of the aggregate \\spad{a} and an accumulant initialized to \\spad{r}. For example,{} \\spad{reduce(_+\\$Integer,[1,2,3],0)} does \\spad{3+(2+(1+0))}. Note: third argument \\spad{r} may be regarded as the identity element for the function \\spad{f}.")) (|map| ((|#4| (|Mapping| |#3| |#1|) |#2|) "\\spad{map(f,a)} applies function \\spad{f} to each member of aggregate \\spad{a} resulting in a new aggregate over a possibly different underlying domain."))) 
@@ -1463,14 +1463,14 @@ NIL
 (-383 A S) 
 ((|constructor| (NIL "A finite linear aggregate is a linear aggregate of finite length. The finite property of the aggregate adds several exports to the list of exports from \\spadtype{LinearAggregate} such as \\spadfun{reverse},{} \\spadfun{sort},{} and so on.")) (|sort!| (($ $) "\\spad{sort!(u)} returns \\spad{u} with its elements in ascending order.") (($ (|Mapping| (|Boolean|) |#2| |#2|) $) "\\spad{sort!(p,u)} returns \\spad{u} with its elements ordered by \\spad{p}.")) (|reverse!| (($ $) "\\spad{reverse!(u)} returns \\spad{u} with its elements in reverse order.")) (|copyInto!| (($ $ $ (|Integer|)) "\\spad{copyInto!(u,v,i)} returns aggregate \\spad{u} containing a copy of \\spad{v} inserted at element \\spad{i}.")) (|position| (((|Integer|) |#2| $ (|Integer|)) "\\spad{position(x,a,n)} returns the index \\spad{i} of the first occurrence of \\spad{x} in \\axiom{a} where \\axiom{\\spad{i} \\spad{>=} \\spad{n}},{} and \\axiom{minIndex(a) - 1} if no such \\spad{x} is found.") (((|Integer|) |#2| $) "\\spad{position(x,a)} returns the index \\spad{i} of the first occurrence of \\spad{x} in a,{} and \\axiom{minIndex(a) - 1} if there is no such \\spad{x}.") (((|Integer|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{position(p,a)} returns the index \\spad{i} of the first \\spad{x} in \\axiom{a} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true},{} and \\axiom{minIndex(a) - 1} if there is no such \\spad{x}.")) (|sorted?| (((|Boolean|) $) "\\spad{sorted?(u)} tests if the elements of \\spad{u} are in ascending order.") (((|Boolean|) (|Mapping| (|Boolean|) |#2| |#2|) $) "\\spad{sorted?(p,a)} tests if \\axiom{a} is sorted according to predicate \\spad{p}.")) (|sort| (($ $) "\\spad{sort(u)} returns an \\spad{u} with elements in ascending order. Note: \\axiom{sort(\\spad{u}) = sort(\\spad{<=},{}\\spad{u})}.") (($ (|Mapping| (|Boolean|) |#2| |#2|) $) "\\spad{sort(p,a)} returns a copy of \\axiom{a} sorted using total ordering predicate \\spad{p}.")) (|reverse| (($ $) "\\spad{reverse(a)} returns a copy of \\axiom{a} with elements in reverse order.")) (|merge| (($ $ $) "\\spad{merge(u,v)} merges \\spad{u} and \\spad{v} in ascending order. Note: \\axiom{merge(\\spad{u},{}\\spad{v}) = merge(\\spad{<=},{}\\spad{u},{}\\spad{v})}.") (($ (|Mapping| (|Boolean|) |#2| |#2|) $ $) "\\spad{merge(p,a,b)} returns an aggregate \\spad{c} which merges \\axiom{a} and \\spad{b}. The result is produced by examining each element \\spad{x} of \\axiom{a} and \\spad{y} of \\spad{b} successively. If \\axiom{\\spad{p}(\\spad{x},{}\\spad{y})} is \\spad{true},{} then \\spad{x} is inserted into the result; otherwise \\spad{y} is inserted. If \\spad{x} is chosen,{} the next element of \\axiom{a} is examined,{} and so on. When all the elements of one aggregate are examined,{} the remaining elements of the other are appended. For example,{} \\axiom{merge(<,{}[1,{}3],{}[2,{}7,{}5])} returns \\axiom{[1,{}2,{}3,{}7,{}5]}."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4465)) (|HasCategory| |#2| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-1121)))) 
+((|HasAttribute| |#1| (QUOTE -4466)) (|HasCategory| |#2| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-1121)))) 
 (-384 S) 
 ((|constructor| (NIL "A finite linear aggregate is a linear aggregate of finite length. The finite property of the aggregate adds several exports to the list of exports from \\spadtype{LinearAggregate} such as \\spadfun{reverse},{} \\spadfun{sort},{} and so on.")) (|sort!| (($ $) "\\spad{sort!(u)} returns \\spad{u} with its elements in ascending order.") (($ (|Mapping| (|Boolean|) |#1| |#1|) $) "\\spad{sort!(p,u)} returns \\spad{u} with its elements ordered by \\spad{p}.")) (|reverse!| (($ $) "\\spad{reverse!(u)} returns \\spad{u} with its elements in reverse order.")) (|copyInto!| (($ $ $ (|Integer|)) "\\spad{copyInto!(u,v,i)} returns aggregate \\spad{u} containing a copy of \\spad{v} inserted at element \\spad{i}.")) (|position| (((|Integer|) |#1| $ (|Integer|)) "\\spad{position(x,a,n)} returns the index \\spad{i} of the first occurrence of \\spad{x} in \\axiom{a} where \\axiom{\\spad{i} \\spad{>=} \\spad{n}},{} and \\axiom{minIndex(a) - 1} if no such \\spad{x} is found.") (((|Integer|) |#1| $) "\\spad{position(x,a)} returns the index \\spad{i} of the first occurrence of \\spad{x} in a,{} and \\axiom{minIndex(a) - 1} if there is no such \\spad{x}.") (((|Integer|) (|Mapping| (|Boolean|) |#1|) $) "\\spad{position(p,a)} returns the index \\spad{i} of the first \\spad{x} in \\axiom{a} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true},{} and \\axiom{minIndex(a) - 1} if there is no such \\spad{x}.")) (|sorted?| (((|Boolean|) $) "\\spad{sorted?(u)} tests if the elements of \\spad{u} are in ascending order.") (((|Boolean|) (|Mapping| (|Boolean|) |#1| |#1|) $) "\\spad{sorted?(p,a)} tests if \\axiom{a} is sorted according to predicate \\spad{p}.")) (|sort| (($ $) "\\spad{sort(u)} returns an \\spad{u} with elements in ascending order. Note: \\axiom{sort(\\spad{u}) = sort(\\spad{<=},{}\\spad{u})}.") (($ (|Mapping| (|Boolean|) |#1| |#1|) $) "\\spad{sort(p,a)} returns a copy of \\axiom{a} sorted using total ordering predicate \\spad{p}.")) (|reverse| (($ $) "\\spad{reverse(a)} returns a copy of \\axiom{a} with elements in reverse order.")) (|merge| (($ $ $) "\\spad{merge(u,v)} merges \\spad{u} and \\spad{v} in ascending order. Note: \\axiom{merge(\\spad{u},{}\\spad{v}) = merge(\\spad{<=},{}\\spad{u},{}\\spad{v})}.") (($ (|Mapping| (|Boolean|) |#1| |#1|) $ $) "\\spad{merge(p,a,b)} returns an aggregate \\spad{c} which merges \\axiom{a} and \\spad{b}. The result is produced by examining each element \\spad{x} of \\axiom{a} and \\spad{y} of \\spad{b} successively. If \\axiom{\\spad{p}(\\spad{x},{}\\spad{y})} is \\spad{true},{} then \\spad{x} is inserted into the result; otherwise \\spad{y} is inserted. If \\spad{x} is chosen,{} the next element of \\axiom{a} is examined,{} and so on. When all the elements of one aggregate are examined,{} the remaining elements of the other are appended. For example,{} \\axiom{merge(<,{}[1,{}3],{}[2,{}7,{}5])} returns \\axiom{[1,{}2,{}3,{}7,{}5]}."))) 
-((-4464 . T)) 
+((-4465 . T)) 
 NIL 
 (-385 |VarSet| R) 
 ((|constructor| (NIL "The category of free Lie algebras. It is used by domains of non-commutative algebra: \\spadtype{LiePolynomial} and \\spadtype{XPBWPolynomial}. \\newline Author: Michel Petitot (petitot@lifl.\\spad{fr})")) (|eval| (($ $ (|List| |#1|) (|List| $)) "\\axiom{eval(\\spad{p},{} [\\spad{x1},{}...,{}\\spad{xn}],{} [\\spad{v1},{}...,{}\\spad{vn}])} replaces \\axiom{\\spad{xi}} by \\axiom{\\spad{vi}} in \\axiom{\\spad{p}}.") (($ $ |#1| $) "\\axiom{eval(\\spad{p},{} \\spad{x},{} \\spad{v})} replaces \\axiom{\\spad{x}} by \\axiom{\\spad{v}} in \\axiom{\\spad{p}}.")) (|varList| (((|List| |#1|) $) "\\axiom{varList(\\spad{x})} returns the list of distinct entries of \\axiom{\\spad{x}}.")) (|trunc| (($ $ (|NonNegativeInteger|)) "\\axiom{trunc(\\spad{p},{}\\spad{n})} returns the polynomial \\axiom{\\spad{p}} truncated at order \\axiom{\\spad{n}}.")) (|mirror| (($ $) "\\axiom{mirror(\\spad{x})} returns \\axiom{Sum(r_i mirror(w_i))} if \\axiom{\\spad{x}} is \\axiom{Sum(r_i w_i)}.")) (|LiePoly| (($ (|LyndonWord| |#1|)) "\\axiom{LiePoly(\\spad{l})} returns the bracketed form of \\axiom{\\spad{l}} as a Lie polynomial.")) (|rquo| (((|XRecursivePolynomial| |#1| |#2|) (|XRecursivePolynomial| |#1| |#2|) $) "\\axiom{rquo(\\spad{x},{}\\spad{y})} returns the right simplification of \\axiom{\\spad{x}} by \\axiom{\\spad{y}}.")) (|lquo| (((|XRecursivePolynomial| |#1| |#2|) (|XRecursivePolynomial| |#1| |#2|) $) "\\axiom{lquo(\\spad{x},{}\\spad{y})} returns the left simplification of \\axiom{\\spad{x}} by \\axiom{\\spad{y}}.")) (|degree| (((|NonNegativeInteger|) $) "\\axiom{degree(\\spad{x})} returns the greatest length of a word in the support of \\axiom{\\spad{x}}.")) (|coerce| (((|XRecursivePolynomial| |#1| |#2|) $) "\\axiom{coerce(\\spad{x})} returns \\axiom{\\spad{x}} as a recursive polynomial.") (((|XDistributedPolynomial| |#1| |#2|) $) "\\axiom{coerce(\\spad{x})} returns \\axiom{\\spad{x}} as distributed polynomial.") (($ |#1|) "\\axiom{coerce(\\spad{x})} returns \\axiom{\\spad{x}} as a Lie polynomial.")) (|coef| ((|#2| (|XRecursivePolynomial| |#1| |#2|) $) "\\axiom{coef(\\spad{x},{}\\spad{y})} returns the scalar product of \\axiom{\\spad{x}} by \\axiom{\\spad{y}},{} the set of words being regarded as an orthogonal basis."))) 
-((|JacobiIdentity| . T) (|NullSquare| . T) (-4459 . T) (-4458 . T)) 
+((|JacobiIdentity| . T) (|NullSquare| . T) (-4460 . T) (-4459 . T)) 
 NIL 
 (-386 S V) 
 ((|constructor| (NIL "This package exports 3 sorting algorithms which work over FiniteLinearAggregates.")) (|shellSort| ((|#2| (|Mapping| (|Boolean|) |#1| |#1|) |#2|) "\\spad{shellSort(f, agg)} sorts the aggregate agg with the ordering function \\spad{f} using the shellSort algorithm.")) (|heapSort| ((|#2| (|Mapping| (|Boolean|) |#1| |#1|) |#2|) "\\spad{heapSort(f, agg)} sorts the aggregate agg with the ordering function \\spad{f} using the heapsort algorithm.")) (|quickSort| ((|#2| (|Mapping| (|Boolean|) |#1| |#1|) |#2|) "\\spad{quickSort(f, agg)} sorts the aggregate agg with the ordering function \\spad{f} using the quicksort algorithm."))) 
@@ -1490,7 +1490,7 @@ NIL
 NIL 
 (-390) 
 ((|constructor| (NIL "\\spadtype{Float} implements arbitrary precision floating point arithmetic. The number of significant digits of each operation can be set to an arbitrary value (the default is 20 decimal digits). The operation \\spad{float(mantissa,exponent,\\spadfunFrom{base}{FloatingPointSystem})} for integer \\spad{mantissa},{} \\spad{exponent} specifies the number \\spad{mantissa * \\spadfunFrom{base}{FloatingPointSystem} ** exponent} The underlying representation for floats is binary not decimal. The implications of this are described below. \\blankline The model adopted is that arithmetic operations are rounded to to nearest unit in the last place,{} that is,{} accurate to within \\spad{2**(-\\spadfunFrom{bits}{FloatingPointSystem})}. Also,{} the elementary functions and constants are accurate to one unit in the last place. A float is represented as a record of two integers,{} the mantissa and the exponent. The \\spadfunFrom{base}{FloatingPointSystem} of the representation is binary,{} hence a \\spad{Record(m:mantissa,e:exponent)} represents the number \\spad{m * 2 ** e}. Though it is not assumed that the underlying integers are represented with a binary \\spadfunFrom{base}{FloatingPointSystem},{} the code will be most efficient when this is the the case (this is \\spad{true} in most implementations of Lisp). The decision to choose the \\spadfunFrom{base}{FloatingPointSystem} to be binary has some unfortunate consequences. First,{} decimal numbers like 0.3 cannot be represented exactly. Second,{} there is a further loss of accuracy during conversion to decimal for output. To compensate for this,{} if \\spad{d} digits of precision are specified,{} \\spad{1 + ceiling(log2 d)} bits are used. Two numbers that are displayed identically may therefore be not equal. On the other hand,{} a significant efficiency loss would be incurred if we chose to use a decimal \\spadfunFrom{base}{FloatingPointSystem} when the underlying integer base is binary. \\blankline Algorithms used: For the elementary functions,{} the general approach is to apply identities so that the taylor series can be used,{} and,{} so that it will converge within \\spad{O( sqrt n )} steps. For example,{} using the identity \\spad{exp(x) = exp(x/2)**2},{} we can compute \\spad{exp(1/3)} to \\spad{n} digits of precision as follows. We have \\spad{exp(1/3) = exp(2 ** (-sqrt s) / 3) ** (2 ** sqrt s)}. The taylor series will converge in less than sqrt \\spad{n} steps and the exponentiation requires sqrt \\spad{n} multiplications for a total of \\spad{2 sqrt n} multiplications. Assuming integer multiplication costs \\spad{O( n**2 )} the overall running time is \\spad{O( sqrt(n) n**2 )}. This approach is the best known approach for precisions up to about 10,{}000 digits at which point the methods of Brent which are \\spad{O( log(n) n**2 )} become competitive. Note also that summing the terms of the taylor series for the elementary functions is done using integer operations. This avoids the overhead of floating point operations and results in efficient code at low precisions. This implementation makes no attempt to reuse storage,{} relying on the underlying system to do \\spadgloss{garbage collection}. \\spad{I} estimate that the efficiency of this package at low precisions could be improved by a factor of 2 if in-place operations were available. \\blankline Running times: in the following,{} \\spad{n} is the number of bits of precision \\indented{5}{\\spad{*},{} \\spad{/},{} \\spad{sqrt},{} \\spad{pi},{} \\spad{exp1},{} \\spad{log2},{} \\spad{log10}: \\spad{ O( n**2 )}} \\indented{5}{\\spad{exp},{} \\spad{log},{} \\spad{sin},{} \\spad{atan}:\\space{2}\\spad{ O( sqrt(n) n**2 )}} The other elementary functions are coded in terms of the ones above.")) (|outputSpacing| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputSpacing(n)} inserts a space after \\spad{n} (default 10) digits on output; outputSpacing(0) means no spaces are inserted.")) (|outputGeneral| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputGeneral(n)} sets the output mode to general notation with \\spad{n} significant digits displayed.") (((|Void|)) "\\spad{outputGeneral()} sets the output mode (default mode) to general notation; numbers will be displayed in either fixed or floating (scientific) notation depending on the magnitude.")) (|outputFixed| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputFixed(n)} sets the output mode to fixed point notation,{} with \\spad{n} digits displayed after the decimal point.") (((|Void|)) "\\spad{outputFixed()} sets the output mode to fixed point notation; the output will contain a decimal point.")) (|outputFloating| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputFloating(n)} sets the output mode to floating (scientific) notation with \\spad{n} significant digits displayed after the decimal point.") (((|Void|)) "\\spad{outputFloating()} sets the output mode to floating (scientific) notation,{} \\spadignore{i.e.} \\spad{mantissa * 10 exponent} is displayed as \\spad{0.mantissa E exponent}.")) (|atan| (($ $ $) "\\spad{atan(x,y)} computes the arc tangent from \\spad{x} with phase \\spad{y}.")) (|exp1| (($) "\\spad{exp1()} returns exp 1: \\spad{2.7182818284...}.")) (|log10| (($ $) "\\spad{log10(x)} computes the logarithm for \\spad{x} to base 10.") (($) "\\spad{log10()} returns \\spad{ln 10}: \\spad{2.3025809299...}.")) (|log2| (($ $) "\\spad{log2(x)} computes the logarithm for \\spad{x} to base 2.") (($) "\\spad{log2()} returns \\spad{ln 2},{} \\spadignore{i.e.} \\spad{0.6931471805...}.")) (|rationalApproximation| (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n, b)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< b**(-n)},{} that is \\spad{|(r-f)/f| < b**(-n)}.") (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< 10**(-n)}.")) (|shift| (($ $ (|Integer|)) "\\spad{shift(x,n)} adds \\spad{n} to the exponent of float \\spad{x}.")) (|relerror| (((|Integer|) $ $) "\\spad{relerror(x,y)} computes the absolute value of \\spad{x - y} divided by \\spad{y},{} when \\spad{y \\~= 0}.")) (|normalize| (($ $) "\\spad{normalize(x)} normalizes \\spad{x} at current precision.")) (** (($ $ $) "\\spad{x ** y} computes \\spad{exp(y log x)} where \\spad{x >= 0}.")) (/ (($ $ (|Integer|)) "\\spad{x / i} computes the division from \\spad{x} by an integer \\spad{i}."))) 
-((-4447 . T) (-4455 . T) (-4165 . T) (-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4448 . T) (-4456 . T) (-4166 . T) (-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-391 |Par|) 
 ((|constructor| (NIL "\\indented{3}{This is a package for the approximation of real solutions for} systems of polynomial equations over the rational numbers. The results are expressed as either rational numbers or floats depending on the type of the precision parameter which can be either a rational number or a floating point number.")) (|realRoots| (((|List| |#1|) (|Fraction| (|Polynomial| (|Integer|))) |#1|) "\\spad{realRoots(rf, eps)} finds the real zeros of a univariate rational function with precision given by eps.") (((|List| (|List| |#1|)) (|List| (|Fraction| (|Polynomial| (|Integer|)))) (|List| (|Symbol|)) |#1|) "\\spad{realRoots(lp,lv,eps)} computes the list of the real solutions of the list \\spad{lp} of rational functions with rational coefficients with respect to the variables in \\spad{lv},{} with precision \\spad{eps}. Each solution is expressed as a list of numbers in order corresponding to the variables in \\spad{lv}.")) (|solve| (((|List| (|Equation| (|Polynomial| |#1|))) (|Equation| (|Fraction| (|Polynomial| (|Integer|)))) |#1|) "\\spad{solve(eq,eps)} finds all of the real solutions of the univariate equation \\spad{eq} of rational functions with respect to the unique variables appearing in \\spad{eq},{} with precision \\spad{eps}.") (((|List| (|Equation| (|Polynomial| |#1|))) (|Fraction| (|Polynomial| (|Integer|))) |#1|) "\\spad{solve(p,eps)} finds all of the real solutions of the univariate rational function \\spad{p} with rational coefficients with respect to the unique variable appearing in \\spad{p},{} with precision \\spad{eps}.") (((|List| (|List| (|Equation| (|Polynomial| |#1|)))) (|List| (|Equation| (|Fraction| (|Polynomial| (|Integer|))))) |#1|) "\\spad{solve(leq,eps)} finds all of the real solutions of the system \\spad{leq} of equationas of rational functions with respect to all the variables appearing in \\spad{lp},{} with precision \\spad{eps}.") (((|List| (|List| (|Equation| (|Polynomial| |#1|)))) (|List| (|Fraction| (|Polynomial| (|Integer|)))) |#1|) "\\spad{solve(lp,eps)} finds all of the real solutions of the system \\spad{lp} of rational functions over the rational numbers with respect to all the variables appearing in \\spad{lp},{} with precision \\spad{eps}."))) 
@@ -1498,11 +1498,11 @@ NIL
 NIL 
 (-392 R S) 
 ((|constructor| (NIL "This domain implements linear combinations of elements from the domain \\spad{S} with coefficients in the domain \\spad{R} where \\spad{S} is an ordered set and \\spad{R} is a ring (which may be non-commutative). This domain is used by domains of non-commutative algebra such as: \\indented{4}{\\spadtype{XDistributedPolynomial},{}} \\indented{4}{\\spadtype{XRecursivePolynomial}.} Author: Michel Petitot (petitot@lifl.\\spad{fr})")) (* (($ |#2| |#1|) "\\spad{s*r} returns the product \\spad{r*s} used by \\spadtype{XRecursivePolynomial}"))) 
-((-4459 . T) (-4458 . T)) 
+((-4460 . T) (-4459 . T)) 
 ((|HasCategory| |#1| (QUOTE (-174)))) 
 (-393 R |Basis|) 
 ((|constructor| (NIL "A domain of this category implements formal linear combinations of elements from a domain \\spad{Basis} with coefficients in a domain \\spad{R}. The domain \\spad{Basis} needs only to belong to the category \\spadtype{SetCategory} and \\spad{R} to the category \\spadtype{Ring}. Thus the coefficient ring may be non-commutative. See the \\spadtype{XDistributedPolynomial} constructor for examples of domains built with the \\spadtype{FreeModuleCat} category constructor. Author: Michel Petitot (petitot@lifl.\\spad{fr})")) (|reductum| (($ $) "\\spad{reductum(x)} returns \\spad{x} minus its leading term.")) (|leadingTerm| (((|Record| (|:| |k| |#2|) (|:| |c| |#1|)) $) "\\spad{leadingTerm(x)} returns the first term which appears in \\spad{ListOfTerms(x)}.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(x)} returns the first coefficient which appears in \\spad{ListOfTerms(x)}.")) (|leadingMonomial| ((|#2| $) "\\spad{leadingMonomial(x)} returns the first element from \\spad{Basis} which appears in \\spad{ListOfTerms(x)}.")) (|numberOfMonomials| (((|NonNegativeInteger|) $) "\\spad{numberOfMonomials(x)} returns the number of monomials of \\spad{x}.")) (|monomials| (((|List| $) $) "\\spad{monomials(x)} returns the list of \\spad{r_i*b_i} whose sum is \\spad{x}.")) (|coefficients| (((|List| |#1|) $) "\\spad{coefficients(x)} returns the list of coefficients of \\spad{x}.")) (|ListOfTerms| (((|List| (|Record| (|:| |k| |#2|) (|:| |c| |#1|))) $) "\\spad{ListOfTerms(x)} returns a list \\spad{lt} of terms with type \\spad{Record(k: Basis, c: R)} such that \\spad{x} equals \\spad{reduce(+, map(x +-> monom(x.k, x.c), lt))}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(x)} returns \\spad{true} if \\spad{x} contains a single monomial.")) (|monom| (($ |#2| |#1|) "\\spad{monom(b,r)} returns the element with the single monomial \\indented{1}{\\spad{b} and coefficient \\spad{r}.}")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(fn,u)} maps function \\spad{fn} onto the coefficients \\indented{1}{of the non-zero monomials of \\spad{u}.}")) (|coefficient| ((|#1| $ |#2|) "\\spad{coefficient(x,b)} returns the coefficient of \\spad{b} in \\spad{x}.")) (* (($ |#1| |#2|) "\\spad{r*b} returns the product of \\spad{r} by \\spad{b}."))) 
-((-4459 . T) (-4458 . T)) 
+((-4460 . T) (-4459 . T)) 
 NIL 
 (-394) 
 ((|constructor| (NIL "\\axiomType{FortranMatrixCategory} provides support for producing Functions and Subroutines when the input to these is an AXIOM object of type \\axiomType{Matrix} or in domains involving \\axiomType{FortranCode}.")) (|coerce| (($ (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) "\\spad{coerce(e)} takes the component of \\spad{e} from \\spadtype{List FortranCode} and uses it as the body of the ASP,{} making the declarations in the \\spadtype{SymbolTable} component.") (($ (|FortranCode|)) "\\spad{coerce(e)} takes an object from \\spadtype{FortranCode} and \\indented{1}{uses it as the body of an ASP.}") (($ (|List| (|FortranCode|))) "\\spad{coerce(e)} takes an object from \\spadtype{List FortranCode} and \\indented{1}{uses it as the body of an ASP.}") (($ (|Matrix| (|MachineFloat|))) "\\spad{coerce(v)} produces an ASP which returns the value of \\spad{v}."))) 
@@ -1514,7 +1514,7 @@ NIL
 NIL 
 (-396 R S) 
 ((|constructor| (NIL "A \\spad{bi}-module is a free module over a ring with generators indexed by an ordered set. Each element can be expressed as a finite linear combination of generators. Only non-zero terms are stored."))) 
-((-4459 . T) (-4458 . T)) 
+((-4460 . T) (-4459 . T)) 
 ((|HasCategory| |#1| (QUOTE (-174)))) 
 (-397 S) 
 ((|constructor| (NIL "A free monoid on a set \\spad{S} is the monoid of finite products of the form \\spad{reduce(*,[si ** ni])} where the \\spad{si}\\spad{'s} are in \\spad{S},{} and the \\spad{ni}\\spad{'s} are nonnegative integers. The multiplication is not commutative.")) (|mapGen| (($ (|Mapping| |#1| |#1|) $) "\\spad{mapGen(f, a1\\^e1 ... an\\^en)} returns \\spad{f(a1)\\^e1 ... f(an)\\^en}.")) (|mapExpon| (($ (|Mapping| (|NonNegativeInteger|) (|NonNegativeInteger|)) $) "\\spad{mapExpon(f, a1\\^e1 ... an\\^en)} returns \\spad{a1\\^f(e1) ... an\\^f(en)}.")) (|nthFactor| ((|#1| $ (|Integer|)) "\\spad{nthFactor(x, n)} returns the factor of the n^th monomial of \\spad{x}.")) (|nthExpon| (((|NonNegativeInteger|) $ (|Integer|)) "\\spad{nthExpon(x, n)} returns the exponent of the n^th monomial of \\spad{x}.")) (|factors| (((|List| (|Record| (|:| |gen| |#1|) (|:| |exp| (|NonNegativeInteger|)))) $) "\\spad{factors(a1\\^e1,...,an\\^en)} returns \\spad{[[a1, e1],...,[an, en]]}.")) (|size| (((|NonNegativeInteger|) $) "\\spad{size(x)} returns the number of monomials in \\spad{x}.")) (|overlap| (((|Record| (|:| |lm| $) (|:| |mm| $) (|:| |rm| $)) $ $) "\\spad{overlap(x, y)} returns \\spad{[l, m, r]} such that \\spad{x = l * m},{} \\spad{y = m * r} and \\spad{l} and \\spad{r} have no overlap,{} \\spadignore{i.e.} \\spad{overlap(l, r) = [l, 1, r]}.")) (|divide| (((|Union| (|Record| (|:| |lm| $) (|:| |rm| $)) "failed") $ $) "\\spad{divide(x, y)} returns the left and right exact quotients of \\spad{x} by \\spad{y},{} \\spadignore{i.e.} \\spad{[l, r]} such that \\spad{x = l * y * r},{} \"failed\" if \\spad{x} is not of the form \\spad{l * y * r}.")) (|rquo| (((|Union| $ "failed") $ $) "\\spad{rquo(x, y)} returns the exact right quotient of \\spad{x} by \\spad{y} \\spadignore{i.e.} \\spad{q} such that \\spad{x = q * y},{} \"failed\" if \\spad{x} is not of the form \\spad{q * y}.")) (|lquo| (((|Union| $ "failed") $ $) "\\spad{lquo(x, y)} returns the exact left quotient of \\spad{x} by \\spad{y} \\spadignore{i.e.} \\spad{q} such that \\spad{x = y * q},{} \"failed\" if \\spad{x} is not of the form \\spad{y * q}.")) (|hcrf| (($ $ $) "\\spad{hcrf(x, y)} returns the highest common right factor of \\spad{x} and \\spad{y},{} \\spadignore{i.e.} the largest \\spad{d} such that \\spad{x = a d} and \\spad{y = b d}.")) (|hclf| (($ $ $) "\\spad{hclf(x, y)} returns the highest common left factor of \\spad{x} and \\spad{y},{} \\spadignore{i.e.} the largest \\spad{d} such that \\spad{x = d a} and \\spad{y = d b}.")) (** (($ |#1| (|NonNegativeInteger|)) "\\spad{s ** n} returns the product of \\spad{s} by itself \\spad{n} times.")) (* (($ $ |#1|) "\\spad{x * s} returns the product of \\spad{x} by \\spad{s} on the right.") (($ |#1| $) "\\spad{s * x} returns the product of \\spad{x} by \\spad{s} on the left."))) 
@@ -1526,7 +1526,7 @@ NIL
 ((|HasCategory| |#1| (QUOTE (-861)))) 
 (-399) 
 ((|constructor| (NIL "A category of domains which model machine arithmetic used by machines in the AXIOM-NAG link."))) 
-((-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-400) 
 ((|constructor| (NIL "This domain provides an interface to names in the file system."))) 
@@ -1538,13 +1538,13 @@ NIL
 NIL 
 (-402 |n| |class| R) 
 ((|constructor| (NIL "Generate the Free Lie Algebra over a ring \\spad{R} with identity; A \\spad{P}. Hall basis is generated by a package call to HallBasis.")) (|generator| (($ (|NonNegativeInteger|)) "\\spad{generator(i)} is the \\spad{i}th Hall Basis element")) (|shallowExpand| (((|OutputForm|) $) "\\spad{shallowExpand(x)} \\undocumented{}")) (|deepExpand| (((|OutputForm|) $) "\\spad{deepExpand(x)} \\undocumented{}")) (|dimension| (((|NonNegativeInteger|)) "\\spad{dimension()} is the rank of this Lie algebra"))) 
-((-4459 . T) (-4458 . T)) 
+((-4460 . T) (-4459 . T)) 
 NIL 
 (-403) 
 ((|constructor| (NIL "Code to manipulate Fortran Output Stack")) (|topFortranOutputStack| (((|String|)) "\\spad{topFortranOutputStack()} returns the top element of the Fortran output stack")) (|pushFortranOutputStack| (((|Void|) (|String|)) "\\spad{pushFortranOutputStack(f)} pushes \\spad{f} onto the Fortran output stack") (((|Void|) (|FileName|)) "\\spad{pushFortranOutputStack(f)} pushes \\spad{f} onto the Fortran output stack")) (|popFortranOutputStack| (((|Void|)) "\\spad{popFortranOutputStack()} pops the Fortran output stack")) (|showFortranOutputStack| (((|Stack| (|String|))) "\\spad{showFortranOutputStack()} returns the Fortran output stack")) (|clearFortranOutputStack| (((|Stack| (|String|))) "\\spad{clearFortranOutputStack()} clears the Fortran output stack"))) 
 NIL 
 NIL 
-(-404 -1959 UP UPUP R) 
+(-404 -1962 UP UPUP R) 
 ((|constructor| (NIL "\\indented{1}{Finds the order of a divisor over a finite field} Author: Manuel Bronstein Date Created: 1988 Date Last Updated: 11 Jul 1990")) (|order| (((|NonNegativeInteger|) (|FiniteDivisor| |#1| |#2| |#3| |#4|)) "\\spad{order(x)} \\undocumented"))) 
 NIL 
 NIL 
@@ -1568,11 +1568,11 @@ NIL
 ((|constructor| (NIL "provides an interface to the boot code for calling Fortran")) (|setLegalFortranSourceExtensions| (((|List| (|String|)) (|List| (|String|))) "\\spad{setLegalFortranSourceExtensions(l)} \\undocumented{}")) (|outputAsFortran| (((|Void|) (|FileName|)) "\\spad{outputAsFortran(fn)} \\undocumented{}")) (|linkToFortran| (((|SExpression|) (|Symbol|) (|List| (|Symbol|)) (|TheSymbolTable|) (|List| (|Symbol|))) "\\spad{linkToFortran(s,l,t,lv)} \\undocumented{}") (((|SExpression|) (|Symbol|) (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|)))) (|List| (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|))))) (|List| (|Symbol|)) (|Symbol|)) "\\spad{linkToFortran(s,l,ll,lv,t)} \\undocumented{}") (((|SExpression|) (|Symbol|) (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|)))) (|List| (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|))))) (|List| (|Symbol|))) "\\spad{linkToFortran(s,l,ll,lv)} \\undocumented{}"))) 
 NIL 
 NIL 
-(-410 -2627 |returnType| -1928 |symbols|) 
+(-410 -2629 |returnType| -1927 |symbols|) 
 ((|constructor| (NIL "\\axiomType{FortranProgram} allows the user to build and manipulate simple models of FORTRAN subprograms. These can then be transformed into actual FORTRAN notation.")) (|coerce| (($ (|Equation| (|Expression| (|Complex| (|Float|))))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|Float|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|Integer|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Expression| (|Complex| (|Float|)))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|Float|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|Integer|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineComplex|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineFloat|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineInteger|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Expression| (|MachineComplex|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|MachineFloat|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|MachineInteger|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) "\\spad{coerce(r)} \\undocumented{}") (($ (|List| (|FortranCode|))) "\\spad{coerce(lfc)} \\undocumented{}") (($ (|FortranCode|)) "\\spad{coerce(fc)} \\undocumented{}"))) 
 NIL 
 NIL 
-(-411 -1959 UP) 
+(-411 -1962 UP) 
 ((|constructor| (NIL "\\indented{1}{Full partial fraction expansion of rational functions} Author: Manuel Bronstein Date Created: 9 December 1992 Date Last Updated: June 18,{} 2010 References: \\spad{M}.Bronstein & \\spad{B}.Salvy,{} \\indented{12}{Full Partial Fraction Decomposition of Rational Functions,{}} \\indented{12}{in Proceedings of ISSAC'93,{} Kiev,{} ACM Press.}")) (|construct| (($ (|List| (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |center| |#2|) (|:| |num| |#2|)))) "\\spad{construct(l)} is the inverse of fracPart.")) (|fracPart| (((|List| (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |center| |#2|) (|:| |num| |#2|))) $) "\\spad{fracPart(f)} returns the list of summands of the fractional part of \\spad{f}.")) (|polyPart| ((|#2| $) "\\spad{polyPart(f)} returns the polynomial part of \\spad{f}.")) (|fullPartialFraction| (($ (|Fraction| |#2|)) "\\spad{fullPartialFraction(f)} returns \\spad{[p, [[j, Dj, Hj]...]]} such that \\spad{f = p(x) + \\sum_{[j,Dj,Hj] in l} \\sum_{Dj(a)=0} Hj(a)/(x - a)\\^j}.")) (+ (($ |#2| $) "\\spad{p + x} returns the sum of \\spad{p} and \\spad{x}"))) 
 NIL 
 NIL 
@@ -1586,15 +1586,15 @@ NIL
 NIL 
 (-414) 
 ((|constructor| (NIL "FieldOfPrimeCharacteristic is the category of fields of prime characteristic,{} \\spadignore{e.g.} finite fields,{} algebraic closures of fields of prime characteristic,{} transcendental extensions of of fields of prime characteristic.")) (|primeFrobenius| (($ $ (|NonNegativeInteger|)) "\\spad{primeFrobenius(a,s)} returns \\spad{a**(p**s)} where \\spad{p} is the characteristic.") (($ $) "\\spad{primeFrobenius(a)} returns \\spad{a ** p} where \\spad{p} is the characteristic.")) (|discreteLog| (((|Union| (|NonNegativeInteger|) "failed") $ $) "\\spad{discreteLog(b,a)} computes \\spad{s} with \\spad{b**s = a} if such an \\spad{s} exists.")) (|order| (((|OnePointCompletion| (|PositiveInteger|)) $) "\\spad{order(a)} computes the order of an element in the multiplicative group of the field. Error: if \\spad{a} is 0."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-415 S) 
 ((|constructor| (NIL "This category is intended as a model for floating point systems. A floating point system is a model for the real numbers. In fact,{} it is an approximation in the sense that not all real numbers are exactly representable by floating point numbers. A floating point system is characterized by the following: \\blankline \\indented{2}{1: \\spadfunFrom{base}{FloatingPointSystem} of the \\spadfunFrom{exponent}{FloatingPointSystem}.} \\indented{9}{(actual implemenations are usually binary or decimal)} \\indented{2}{2: \\spadfunFrom{precision}{FloatingPointSystem} of the \\spadfunFrom{mantissa}{FloatingPointSystem} (arbitrary or fixed)} \\indented{2}{3: rounding error for operations} \\blankline Because a Float is an approximation to the real numbers,{} even though it is defined to be a join of a Field and OrderedRing,{} some of the attributes do not hold. In particular associative(\\spad{\"+\"}) does not hold. Algorithms defined over a field need special considerations when the field is a floating point system.")) (|max| (($) "\\spad{max()} returns the maximum floating point number.")) (|min| (($) "\\spad{min()} returns the minimum floating point number.")) (|decreasePrecision| (((|PositiveInteger|) (|Integer|)) "\\spad{decreasePrecision(n)} decreases the current \\spadfunFrom{precision}{FloatingPointSystem} precision by \\spad{n} decimal digits.")) (|increasePrecision| (((|PositiveInteger|) (|Integer|)) "\\spad{increasePrecision(n)} increases the current \\spadfunFrom{precision}{FloatingPointSystem} by \\spad{n} decimal digits.")) (|precision| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{precision(n)} set the precision in the base to \\spad{n} decimal digits.") (((|PositiveInteger|)) "\\spad{precision()} returns the precision in digits base.")) (|digits| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{digits(d)} set the \\spadfunFrom{precision}{FloatingPointSystem} to \\spad{d} digits.") (((|PositiveInteger|)) "\\spad{digits()} returns ceiling\\spad{'s} precision in decimal digits.")) (|bits| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{bits(n)} set the \\spadfunFrom{precision}{FloatingPointSystem} to \\spad{n} bits.") (((|PositiveInteger|)) "\\spad{bits()} returns ceiling\\spad{'s} precision in bits.")) (|mantissa| (((|Integer|) $) "\\spad{mantissa(x)} returns the mantissa part of \\spad{x}.")) (|exponent| (((|Integer|) $) "\\spad{exponent(x)} returns the \\spadfunFrom{exponent}{FloatingPointSystem} part of \\spad{x}.")) (|base| (((|PositiveInteger|)) "\\spad{base()} returns the base of the \\spadfunFrom{exponent}{FloatingPointSystem}.")) (|order| (((|Integer|) $) "\\spad{order x} is the order of magnitude of \\spad{x}. Note: \\spad{base ** order x <= |x| < base ** (1 + order x)}.")) (|float| (($ (|Integer|) (|Integer|) (|PositiveInteger|)) "\\spad{float(a,e,b)} returns \\spad{a * b ** e}.") (($ (|Integer|) (|Integer|)) "\\spad{float(a,e)} returns \\spad{a * base() ** e}.")) (|approximate| ((|attribute|) "\\spad{approximate} means \"is an approximation to the real numbers\"."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4447)) (|HasAttribute| |#1| (QUOTE -4455))) 
+((|HasAttribute| |#1| (QUOTE -4448)) (|HasAttribute| |#1| (QUOTE -4456))) 
 (-416) 
 ((|constructor| (NIL "This category is intended as a model for floating point systems. A floating point system is a model for the real numbers. In fact,{} it is an approximation in the sense that not all real numbers are exactly representable by floating point numbers. A floating point system is characterized by the following: \\blankline \\indented{2}{1: \\spadfunFrom{base}{FloatingPointSystem} of the \\spadfunFrom{exponent}{FloatingPointSystem}.} \\indented{9}{(actual implemenations are usually binary or decimal)} \\indented{2}{2: \\spadfunFrom{precision}{FloatingPointSystem} of the \\spadfunFrom{mantissa}{FloatingPointSystem} (arbitrary or fixed)} \\indented{2}{3: rounding error for operations} \\blankline Because a Float is an approximation to the real numbers,{} even though it is defined to be a join of a Field and OrderedRing,{} some of the attributes do not hold. In particular associative(\\spad{\"+\"}) does not hold. Algorithms defined over a field need special considerations when the field is a floating point system.")) (|max| (($) "\\spad{max()} returns the maximum floating point number.")) (|min| (($) "\\spad{min()} returns the minimum floating point number.")) (|decreasePrecision| (((|PositiveInteger|) (|Integer|)) "\\spad{decreasePrecision(n)} decreases the current \\spadfunFrom{precision}{FloatingPointSystem} precision by \\spad{n} decimal digits.")) (|increasePrecision| (((|PositiveInteger|) (|Integer|)) "\\spad{increasePrecision(n)} increases the current \\spadfunFrom{precision}{FloatingPointSystem} by \\spad{n} decimal digits.")) (|precision| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{precision(n)} set the precision in the base to \\spad{n} decimal digits.") (((|PositiveInteger|)) "\\spad{precision()} returns the precision in digits base.")) (|digits| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{digits(d)} set the \\spadfunFrom{precision}{FloatingPointSystem} to \\spad{d} digits.") (((|PositiveInteger|)) "\\spad{digits()} returns ceiling\\spad{'s} precision in decimal digits.")) (|bits| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{bits(n)} set the \\spadfunFrom{precision}{FloatingPointSystem} to \\spad{n} bits.") (((|PositiveInteger|)) "\\spad{bits()} returns ceiling\\spad{'s} precision in bits.")) (|mantissa| (((|Integer|) $) "\\spad{mantissa(x)} returns the mantissa part of \\spad{x}.")) (|exponent| (((|Integer|) $) "\\spad{exponent(x)} returns the \\spadfunFrom{exponent}{FloatingPointSystem} part of \\spad{x}.")) (|base| (((|PositiveInteger|)) "\\spad{base()} returns the base of the \\spadfunFrom{exponent}{FloatingPointSystem}.")) (|order| (((|Integer|) $) "\\spad{order x} is the order of magnitude of \\spad{x}. Note: \\spad{base ** order x <= |x| < base ** (1 + order x)}.")) (|float| (($ (|Integer|) (|Integer|) (|PositiveInteger|)) "\\spad{float(a,e,b)} returns \\spad{a * b ** e}.") (($ (|Integer|) (|Integer|)) "\\spad{float(a,e)} returns \\spad{a * base() ** e}.")) (|approximate| ((|attribute|) "\\spad{approximate} means \"is an approximation to the real numbers\"."))) 
-((-4165 . T) (-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4166 . T) (-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-417 R S) 
 ((|constructor| (NIL "\\spadtype{FactoredFunctions2} contains functions that involve factored objects whose underlying domains may not be the same. For example,{} \\spadfun{map} might be used to coerce an object of type \\spadtype{Factored(Integer)} to \\spadtype{Factored(Complex(Integer))}.")) (|map| (((|Factored| |#2|) (|Mapping| |#2| |#1|) (|Factored| |#1|)) "\\spad{map(fn,u)} is used to apply the function \\userfun{\\spad{fn}} to every factor of \\spadvar{\\spad{u}}. The new factored object will have all its information flags set to \"nil\". This function is used,{} for example,{} to coerce every factor base to another type."))) 
@@ -1606,15 +1606,15 @@ NIL
 NIL 
 (-419 S) 
 ((|constructor| (NIL "Fraction takes an IntegralDomain \\spad{S} and produces the domain of Fractions with numerators and denominators from \\spad{S}. If \\spad{S} is also a GcdDomain,{} then \\spad{gcd}\\spad{'s} between numerator and denominator will be cancelled during all operations.")) (|canonical| ((|attribute|) "\\spad{canonical} means that equal elements are in fact identical."))) 
-((-4451 -12 (|has| |#1| (-6 -4462)) (|has| |#1| (-464)) (|has| |#1| (-6 -4451))) (-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
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+((-4452 -12 (|has| |#1| (-6 -4463)) (|has| |#1| (-464)) (|has| |#1| (-6 -4452))) (-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| |#1| (QUOTE (-928))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (QUOTE (-1043))) (|HasCategory| |#1| (QUOTE (-832))) (|HasCategory| |#1| (QUOTE (-861))) (-2760 (|HasCategory| |#1| (QUOTE (-832))) (|HasCategory| |#1| (QUOTE (-861)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-1173))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (-2760 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840))))) (-2760 (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840))))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-557))) (-12 (|HasAttribute| |#1| (QUOTE -4463)) (|HasAttribute| |#1| (QUOTE -4452)) (|HasCategory| |#1| (QUOTE (-464)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) 
 (-420 S R UP) 
 ((|constructor| (NIL "A \\spadtype{FramedAlgebra} is a \\spadtype{FiniteRankAlgebra} together with a fixed \\spad{R}-module basis.")) (|regularRepresentation| (((|Matrix| |#2|) $) "\\spad{regularRepresentation(a)} returns the matrix of the linear map defined by left multiplication by \\spad{a} with respect to the fixed basis.")) (|discriminant| ((|#2|) "\\spad{discriminant()} = determinant(traceMatrix()).")) (|traceMatrix| (((|Matrix| |#2|)) "\\spad{traceMatrix()} is the \\spad{n}-by-\\spad{n} matrix ( \\spad{Tr(vi * vj)} ),{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.")) (|convert| (($ (|Vector| |#2|)) "\\spad{convert([a1,..,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.") (((|Vector| |#2|) $) "\\spad{convert(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|represents| (($ (|Vector| |#2|)) "\\spad{represents([a1,..,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#2|) (|Vector| $)) "\\spad{coordinates([v1,...,vm])} returns the coordinates of the \\spad{vi}\\spad{'s} with to the fixed basis. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#2|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|basis| (((|Vector| $)) "\\spad{basis()} returns the fixed \\spad{R}-module basis."))) 
 NIL 
 NIL 
 (-421 R UP) 
 ((|constructor| (NIL "A \\spadtype{FramedAlgebra} is a \\spadtype{FiniteRankAlgebra} together with a fixed \\spad{R}-module basis.")) (|regularRepresentation| (((|Matrix| |#1|) $) "\\spad{regularRepresentation(a)} returns the matrix of the linear map defined by left multiplication by \\spad{a} with respect to the fixed basis.")) (|discriminant| ((|#1|) "\\spad{discriminant()} = determinant(traceMatrix()).")) (|traceMatrix| (((|Matrix| |#1|)) "\\spad{traceMatrix()} is the \\spad{n}-by-\\spad{n} matrix ( \\spad{Tr(vi * vj)} ),{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.")) (|convert| (($ (|Vector| |#1|)) "\\spad{convert([a1,..,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.") (((|Vector| |#1|) $) "\\spad{convert(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|represents| (($ (|Vector| |#1|)) "\\spad{represents([a1,..,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#1|) (|Vector| $)) "\\spad{coordinates([v1,...,vm])} returns the coordinates of the \\spad{vi}\\spad{'s} with to the fixed basis. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#1|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|basis| (((|Vector| $)) "\\spad{basis()} returns the fixed \\spad{R}-module basis."))) 
-((-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-422 A S) 
 ((|constructor| (NIL "\\indented{2}{A is fully retractable to \\spad{B} means that A is retractable to \\spad{B},{} and,{}} \\indented{2}{in addition,{} if \\spad{B} is retractable to the integers or rational} \\indented{2}{numbers then so is A.} \\indented{2}{In particular,{} what we are asserting is that there are no integers} \\indented{2}{(rationals) in A which don\\spad{'t} retract into \\spad{B}.} Date Created: March 1990 Date Last Updated: 9 April 1991"))) 
@@ -1628,11 +1628,11 @@ NIL
 ((|constructor| (NIL "\\indented{1}{Lifting of morphisms to fractional ideals.} Author: Manuel Bronstein Date Created: 1 Feb 1989 Date Last Updated: 27 Feb 1990 Keywords: ideal,{} algebra,{} module.")) (|map| (((|FractionalIdeal| |#5| |#6| |#7| |#8|) (|Mapping| |#5| |#1|) (|FractionalIdeal| |#1| |#2| |#3| |#4|)) "\\spad{map(f,i)} \\undocumented{}"))) 
 NIL 
 NIL 
-(-425 R -1959 UP A) 
+(-425 R -1962 UP A) 
 ((|constructor| (NIL "Fractional ideals in a framed algebra.")) (|randomLC| ((|#4| (|NonNegativeInteger|) (|Vector| |#4|)) "\\spad{randomLC(n,x)} should be local but conditional.")) (|minimize| (($ $) "\\spad{minimize(I)} returns a reduced set of generators for \\spad{I}.")) (|denom| ((|#1| $) "\\spad{denom(1/d * (f1,...,fn))} returns \\spad{d}.")) (|numer| (((|Vector| |#4|) $) "\\spad{numer(1/d * (f1,...,fn))} = the vector \\spad{[f1,...,fn]}.")) (|norm| ((|#2| $) "\\spad{norm(I)} returns the norm of the ideal \\spad{I}.")) (|basis| (((|Vector| |#4|) $) "\\spad{basis((f1,...,fn))} returns the vector \\spad{[f1,...,fn]}.")) (|ideal| (($ (|Vector| |#4|)) "\\spad{ideal([f1,...,fn])} returns the ideal \\spad{(f1,...,fn)}."))) 
-((-4461 . T)) 
+((-4462 . T)) 
 NIL 
-(-426 R -1959 UP A |ibasis|) 
+(-426 R -1962 UP A |ibasis|) 
 ((|constructor| (NIL "Module representation of fractional ideals.")) (|module| (($ (|FractionalIdeal| |#1| |#2| |#3| |#4|)) "\\spad{module(I)} returns \\spad{I} viewed has a module over \\spad{R}.") (($ (|Vector| |#4|)) "\\spad{module([f1,...,fn])} = the module generated by \\spad{(f1,...,fn)} over \\spad{R}.")) (|norm| ((|#2| $) "\\spad{norm(f)} returns the norm of the module \\spad{f}.")) (|basis| (((|Vector| |#4|) $) "\\spad{basis((f1,...,fn))} = the vector \\spad{[f1,...,fn]}."))) 
 NIL 
 ((|HasCategory| |#4| (LIST (QUOTE -1059) (|devaluate| |#2|)))) 
@@ -1646,12 +1646,12 @@ NIL
 ((|HasCategory| |#2| (QUOTE (-374)))) 
 (-429 R) 
 ((|constructor| (NIL "FramedNonAssociativeAlgebra(\\spad{R}) is a \\spadtype{FiniteRankNonAssociativeAlgebra} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank) over a commutative ring \\spad{R} together with a fixed \\spad{R}-module basis.")) (|apply| (($ (|Matrix| |#1|) $) "\\spad{apply(m,a)} defines a left operation of \\spad{n} by \\spad{n} matrices where \\spad{n} is the rank of the algebra in terms of matrix-vector multiplication,{} this is a substitute for a left module structure. Error: if shape of matrix doesn\\spad{'t} fit.")) (|rightRankPolynomial| (((|SparseUnivariatePolynomial| (|Polynomial| |#1|))) "\\spad{rightRankPolynomial()} calculates the right minimal polynomial of the generic element in the algebra,{} defined by the same structural constants over the polynomial ring in symbolic coefficients with respect to the fixed basis.")) (|leftRankPolynomial| (((|SparseUnivariatePolynomial| (|Polynomial| |#1|))) "\\spad{leftRankPolynomial()} calculates the left minimal polynomial of the generic element in the algebra,{} defined by the same structural constants over the polynomial ring in symbolic coefficients with respect to the fixed basis.")) (|rightRegularRepresentation| (((|Matrix| |#1|) $) "\\spad{rightRegularRepresentation(a)} returns the matrix of the linear map defined by right multiplication by \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|leftRegularRepresentation| (((|Matrix| |#1|) $) "\\spad{leftRegularRepresentation(a)} returns the matrix of the linear map defined by left multiplication by \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|rightTraceMatrix| (((|Matrix| |#1|)) "\\spad{rightTraceMatrix()} is the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the right trace of the product \\spad{vi*vj},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed \\spad{R}-module basis.")) (|leftTraceMatrix| (((|Matrix| |#1|)) "\\spad{leftTraceMatrix()} is the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by left trace of the product \\spad{vi*vj},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed \\spad{R}-module basis.")) (|rightDiscriminant| ((|#1|) "\\spad{rightDiscriminant()} returns the determinant of the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the right trace of the product \\spad{vi*vj},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed \\spad{R}-module basis. Note: the same as \\spad{determinant(rightTraceMatrix())}.")) (|leftDiscriminant| ((|#1|) "\\spad{leftDiscriminant()} returns the determinant of the \\spad{n}-by-\\spad{n} matrix whose element at the \\spad{i}\\spad{-}th row and \\spad{j}\\spad{-}th column is given by the left trace of the product \\spad{vi*vj},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed \\spad{R}-module basis. Note: the same as \\spad{determinant(leftTraceMatrix())}.")) (|convert| (($ (|Vector| |#1|)) "\\spad{convert([a1,...,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed \\spad{R}-module basis.") (((|Vector| |#1|) $) "\\spad{convert(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|represents| (($ (|Vector| |#1|)) "\\spad{represents([a1,...,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed \\spad{R}-module basis.")) (|conditionsForIdempotents| (((|List| (|Polynomial| |#1|))) "\\spad{conditionsForIdempotents()} determines a complete list of polynomial equations for the coefficients of idempotents with respect to the fixed \\spad{R}-module basis.")) (|structuralConstants| (((|Vector| (|Matrix| |#1|))) "\\spad{structuralConstants()} calculates the structural constants \\spad{[(gammaijk) for k in 1..rank()]} defined by \\spad{vi * vj = gammaij1 * v1 + ... + gammaijn * vn},{} where \\spad{v1},{}...,{}\\spad{vn} is the fixed \\spad{R}-module basis.")) (|coordinates| (((|Matrix| |#1|) (|Vector| $)) "\\spad{coordinates([a1,...,am])} returns a matrix whose \\spad{i}-th row is formed by the coordinates of \\spad{ai} with respect to the fixed \\spad{R}-module basis.") (((|Vector| |#1|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|basis| (((|Vector| $)) "\\spad{basis()} returns the fixed \\spad{R}-module basis."))) 
-((-4461 |has| |#1| (-568)) (-4459 . T) (-4458 . T)) 
+((-4462 |has| |#1| (-568)) (-4460 . T) (-4459 . T)) 
 NIL 
 (-430 R) 
 ((|constructor| (NIL "\\spadtype{Factored} creates a domain whose objects are kept in factored form as long as possible. Thus certain operations like multiplication and \\spad{gcd} are relatively easy to do. Others,{} like addition require somewhat more work,{} and unless the argument domain provides a factor function,{} the result may not be completely factored. Each object consists of a unit and a list of factors,{} where a factor has a member of \\spad{R} (the \"base\"),{} and exponent and a flag indicating what is known about the base. A flag may be one of \"nil\",{} \"sqfr\",{} \"irred\" or \"prime\",{} which respectively mean that nothing is known about the base,{} it is square-free,{} it is irreducible,{} or it is prime. The current restriction to integral domains allows simplification to be performed without worrying about multiplication order.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(u)} returns a rational number if \\spad{u} really is one,{} and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(u)} assumes spadvar{\\spad{u}} is actually a rational number and does the conversion to rational number (see \\spadtype{Fraction Integer}).")) (|rational?| (((|Boolean|) $) "\\spad{rational?(u)} tests if \\spadvar{\\spad{u}} is actually a rational number (see \\spadtype{Fraction Integer}).")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(fn,u)} maps the function \\userfun{\\spad{fn}} across the factors of \\spadvar{\\spad{u}} and creates a new factored object. Note: this clears the information flags (sets them to \"nil\") because the effect of \\userfun{\\spad{fn}} is clearly not known in general.")) (|unitNormalize| (($ $) "\\spad{unitNormalize(u)} normalizes the unit part of the factorization. For example,{} when working with factored integers,{} this operation will ensure that the bases are all positive integers.")) (|unit| ((|#1| $) "\\spad{unit(u)} extracts the unit part of the factorization.")) (|flagFactor| (($ |#1| (|Integer|) (|Union| "nil" "sqfr" "irred" "prime")) "\\spad{flagFactor(base,exponent,flag)} creates a factored object with a single factor whose \\spad{base} is asserted to be properly described by the information \\spad{flag}.")) (|sqfrFactor| (($ |#1| (|Integer|)) "\\spad{sqfrFactor(base,exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be square-free (flag = \"sqfr\").")) (|primeFactor| (($ |#1| (|Integer|)) "\\spad{primeFactor(base,exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be prime (flag = \"prime\").")) (|numberOfFactors| (((|NonNegativeInteger|) $) "\\spad{numberOfFactors(u)} returns the number of factors in \\spadvar{\\spad{u}}.")) (|nthFlag| (((|Union| "nil" "sqfr" "irred" "prime") $ (|Integer|)) "\\spad{nthFlag(u,n)} returns the information flag of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} \"nil\" is returned.")) (|nthFactor| ((|#1| $ (|Integer|)) "\\spad{nthFactor(u,n)} returns the base of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} 1 is returned. If \\spadvar{\\spad{u}} consists only of a unit,{} the unit is returned.")) (|nthExponent| (((|Integer|) $ (|Integer|)) "\\spad{nthExponent(u,n)} returns the exponent of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} 0 is returned.")) (|irreducibleFactor| (($ |#1| (|Integer|)) "\\spad{irreducibleFactor(base,exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be irreducible (flag = \"irred\").")) (|factors| (((|List| (|Record| (|:| |factor| |#1|) (|:| |exponent| (|Integer|)))) $) "\\spad{factors(u)} returns a list of the factors in a form suitable for iteration. That is,{} it returns a list where each element is a record containing a base and exponent. The original object is the product of all the factors and the unit (which can be extracted by \\axiom{unit(\\spad{u})}).")) (|nilFactor| (($ |#1| (|Integer|)) "\\spad{nilFactor(base,exponent)} creates a factored object with a single factor with no information about the kind of \\spad{base} (flag = \"nil\").")) (|factorList| (((|List| (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#1|) (|:| |xpnt| (|Integer|)))) $) "\\spad{factorList(u)} returns the list of factors with flags (for use by factoring code).")) (|makeFR| (($ |#1| (|List| (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#1|) (|:| |xpnt| (|Integer|))))) "\\spad{makeFR(unit,listOfFactors)} creates a factored object (for use by factoring code).")) (|exponent| (((|Integer|) $) "\\spad{exponent(u)} returns the exponent of the first factor of \\spadvar{\\spad{u}},{} or 0 if the factored form consists solely of a unit.")) (|expand| ((|#1| $) "\\spad{expand(f)} multiplies the unit and factors together,{} yielding an \"unfactored\" object. Note: this is purposely not called \\spadfun{coerce} which would cause the interpreter to do this automatically."))) 
-((-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -319) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -296) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-1242))) (-2758 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-1242)))) (|HasCategory| |#1| (QUOTE (-1043))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-464)))) 
+((-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -319) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -296) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-1242))) (-2760 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-1242)))) (|HasCategory| |#1| (QUOTE (-1043))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-464)))) 
 (-431 R) 
 ((|constructor| (NIL "\\spadtype{FactoredFunctionUtilities} implements some utility functions for manipulating factored objects.")) (|mergeFactors| (((|Factored| |#1|) (|Factored| |#1|) (|Factored| |#1|)) "\\spad{mergeFactors(u,v)} is used when the factorizations of \\spadvar{\\spad{u}} and \\spadvar{\\spad{v}} are known to be disjoint,{} \\spadignore{e.g.} resulting from a content/primitive part split. Essentially,{} it creates a new factored object by multiplying the units together and appending the lists of factors.")) (|refine| (((|Factored| |#1|) (|Factored| |#1|) (|Mapping| (|Factored| |#1|) |#1|)) "\\spad{refine(u,fn)} is used to apply the function \\userfun{\\spad{fn}} to each factor of \\spadvar{\\spad{u}} and then build a new factored object from the results. For example,{} if \\spadvar{\\spad{u}} were created by calling \\spad{nilFactor(10,2)} then \\spad{refine(u,factor)} would create a factored object equal to that created by \\spad{factor(100)} or \\spad{primeFactor(2,2) * primeFactor(5,2)}."))) 
 NIL 
@@ -1678,17 +1678,17 @@ NIL
 ((|HasCategory| |#2| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-379)))) 
 (-437 S) 
 ((|constructor| (NIL "A finite-set aggregate models the notion of a finite set,{} that is,{} a collection of elements characterized by membership,{} but not by order or multiplicity. See \\spadtype{Set} for an example.")) (|min| ((|#1| $) "\\spad{min(u)} returns the smallest element of aggregate \\spad{u}.")) (|max| ((|#1| $) "\\spad{max(u)} returns the largest element of aggregate \\spad{u}.")) (|universe| (($) "\\spad{universe()}\\$\\spad{D} returns the universal set for finite set aggregate \\spad{D}.")) (|complement| (($ $) "\\spad{complement(u)} returns the complement of the set \\spad{u},{} \\spadignore{i.e.} the set of all values not in \\spad{u}.")) (|cardinality| (((|NonNegativeInteger|) $) "\\spad{cardinality(u)} returns the number of elements of \\spad{u}. Note: \\axiom{cardinality(\\spad{u}) = \\#u}."))) 
-((-4464 . T) (-4454 . T) (-4465 . T)) 
+((-4465 . T) (-4455 . T) (-4466 . T)) 
 NIL 
-(-438 R -1959) 
+(-438 R -1962) 
 ((|constructor| (NIL "\\spadtype{FunctionSpaceComplexIntegration} provides functions for the indefinite integration of complex-valued functions.")) (|complexIntegrate| ((|#2| |#2| (|Symbol|)) "\\spad{complexIntegrate(f, x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable.")) (|internalIntegrate0| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate0 should} be a local function,{} but is conditional.")) (|internalIntegrate| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate(f, x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable."))) 
 NIL 
 NIL 
 (-439 R E) 
 ((|constructor| (NIL "\\indented{1}{Author: James Davenport} Date Created: 17 April 1992 Date Last Updated: Basic Functions: Related Constructors: Also See: AMS Classifications: Keywords: References: Description:")) (|makeCos| (($ |#2| |#1|) "\\spad{makeCos(e,r)} makes a sin expression with given argument and coefficient")) (|makeSin| (($ |#2| |#1|) "\\spad{makeSin(e,r)} makes a sin expression with given argument and coefficient")) (|coerce| (($ (|FourierComponent| |#2|)) "\\spad{coerce(c)} converts sin/cos terms into Fourier Series") (($ |#1|) "\\spad{coerce(r)} converts coefficients into Fourier Series"))) 
-((-4451 -12 (|has| |#1| (-6 -4451)) (|has| |#2| (-6 -4451))) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((-12 (|HasAttribute| |#1| (QUOTE -4451)) (|HasAttribute| |#2| (QUOTE -4451)))) 
-(-440 R -1959) 
+((-4452 -12 (|has| |#1| (-6 -4452)) (|has| |#2| (-6 -4452))) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((-12 (|HasAttribute| |#1| (QUOTE -4452)) (|HasAttribute| |#2| (QUOTE -4452)))) 
+(-440 R -1962) 
 ((|constructor| (NIL "\\spadtype{FunctionSpaceIntegration} provides functions for the indefinite integration of real-valued functions.")) (|integrate| (((|Union| |#2| (|List| |#2|)) |#2| (|Symbol|)) "\\spad{integrate(f, x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a real variable."))) 
 NIL 
 NIL 
@@ -1698,17 +1698,17 @@ NIL
 ((|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-1070))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-485))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) 
 (-442 R) 
 ((|constructor| (NIL "A space of formal functions with arguments in an arbitrary ordered set.")) (|univariate| (((|Fraction| (|SparseUnivariatePolynomial| $)) $ (|Kernel| $)) "\\spad{univariate(f, k)} returns \\spad{f} viewed as a univariate fraction in \\spad{k}.")) (/ (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $)) (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{p1/p2} returns the quotient of \\spad{p1} and \\spad{p2} as an element of \\%.")) (|denominator| (($ $) "\\spad{denominator(f)} returns the denominator of \\spad{f} converted to \\%.")) (|denom| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{denom(f)} returns the denominator of \\spad{f} viewed as a polynomial in the kernels over \\spad{R}.")) (|convert| (($ (|Factored| $)) "\\spad{convert(f1\\^e1 ... fm\\^em)} returns \\spad{(f1)\\^e1 ... (fm)\\^em} as an element of \\%,{} using formal kernels created using a \\spadfunFrom{paren}{ExpressionSpace}.")) (|isPower| (((|Union| (|Record| (|:| |val| $) (|:| |exponent| (|Integer|))) "failed") $) "\\spad{isPower(p)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0}.")) (|numerator| (($ $) "\\spad{numerator(f)} returns the numerator of \\spad{f} converted to \\%.")) (|numer| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{numer(f)} returns the numerator of \\spad{f} viewed as a polynomial in the kernels over \\spad{R} if \\spad{R} is an integral domain. If not,{} then numer(\\spad{f}) = \\spad{f} viewed as a polynomial in the kernels over \\spad{R}.")) (|coerce| (($ (|Fraction| (|Polynomial| (|Fraction| |#1|)))) "\\spad{coerce(f)} returns \\spad{f} as an element of \\%.") (($ (|Polynomial| (|Fraction| |#1|))) "\\spad{coerce(p)} returns \\spad{p} as an element of \\%.") (($ (|Fraction| |#1|)) "\\spad{coerce(q)} returns \\spad{q} as an element of \\%.") (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{coerce(p)} returns \\spad{p} as an element of \\%.")) (|isMult| (((|Union| (|Record| (|:| |coef| (|Integer|)) (|:| |var| (|Kernel| $))) "failed") $) "\\spad{isMult(p)} returns \\spad{[n, x]} if \\spad{p = n * x} and \\spad{n <> 0}.")) (|isPlus| (((|Union| (|List| $) "failed") $) "\\spad{isPlus(p)} returns \\spad{[m1,...,mn]} if \\spad{p = m1 +...+ mn} and \\spad{n > 1}.")) (|isExpt| (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $ (|Symbol|)) "\\spad{isExpt(p,f)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0} and \\spad{x = f(a)}.") (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $ (|BasicOperator|)) "\\spad{isExpt(p,op)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0} and \\spad{x = op(a)}.") (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $) "\\spad{isExpt(p)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0}.")) (|isTimes| (((|Union| (|List| $) "failed") $) "\\spad{isTimes(p)} returns \\spad{[a1,...,an]} if \\spad{p = a1*...*an} and \\spad{n > 1}.")) (** (($ $ (|NonNegativeInteger|)) "\\spad{x**n} returns \\spad{x} * \\spad{x} * \\spad{x} * ... * \\spad{x} (\\spad{n} times).")) (|eval| (($ $ (|Symbol|) (|NonNegativeInteger|) (|Mapping| $ $)) "\\spad{eval(x, s, n, f)} replaces every \\spad{s(a)**n} in \\spad{x} by \\spad{f(a)} for any \\spad{a}.") (($ $ (|Symbol|) (|NonNegativeInteger|) (|Mapping| $ (|List| $))) "\\spad{eval(x, s, n, f)} replaces every \\spad{s(a1,...,am)**n} in \\spad{x} by \\spad{f(a1,...,am)} for any a1,{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ (|List| $)))) "\\spad{eval(x, [s1,...,sm], [n1,...,nm], [f1,...,fm])} replaces every \\spad{si(a1,...,an)**ni} in \\spad{x} by \\spad{fi(a1,...,an)} for any a1,{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ $))) "\\spad{eval(x, [s1,...,sm], [n1,...,nm], [f1,...,fm])} replaces every \\spad{si(a)**ni} in \\spad{x} by \\spad{fi(a)} for any \\spad{a}.") (($ $ (|List| (|BasicOperator|)) (|List| $) (|Symbol|)) "\\spad{eval(x, [s1,...,sm], [f1,...,fm], y)} replaces every \\spad{si(a)} in \\spad{x} by \\spad{fi(y)} with \\spad{y} replaced by \\spad{a} for any \\spad{a}.") (($ $ (|BasicOperator|) $ (|Symbol|)) "\\spad{eval(x, s, f, y)} replaces every \\spad{s(a)} in \\spad{x} by \\spad{f(y)} with \\spad{y} replaced by \\spad{a} for any \\spad{a}.") (($ $) "\\spad{eval(f)} unquotes all the quoted operators in \\spad{f}.") (($ $ (|List| (|Symbol|))) "\\spad{eval(f, [foo1,...,foon])} unquotes all the \\spad{fooi}\\spad{'s} in \\spad{f}.") (($ $ (|Symbol|)) "\\spad{eval(f, foo)} unquotes all the foo\\spad{'s} in \\spad{f}.")) (|applyQuote| (($ (|Symbol|) (|List| $)) "\\spad{applyQuote(foo, [x1,...,xn])} returns \\spad{'foo(x1,...,xn)}.") (($ (|Symbol|) $ $ $ $) "\\spad{applyQuote(foo, x, y, z, t)} returns \\spad{'foo(x,y,z,t)}.") (($ (|Symbol|) $ $ $) "\\spad{applyQuote(foo, x, y, z)} returns \\spad{'foo(x,y,z)}.") (($ (|Symbol|) $ $) "\\spad{applyQuote(foo, x, y)} returns \\spad{'foo(x,y)}.") (($ (|Symbol|) $) "\\spad{applyQuote(foo, x)} returns \\spad{'foo(x)}.")) (|variables| (((|List| (|Symbol|)) $) "\\spad{variables(f)} returns the list of all the variables of \\spad{f}.")) (|ground| ((|#1| $) "\\spad{ground(f)} returns \\spad{f} as an element of \\spad{R}. An error occurs if \\spad{f} is not an element of \\spad{R}.")) (|ground?| (((|Boolean|) $) "\\spad{ground?(f)} tests if \\spad{f} is an element of \\spad{R}."))) 
-((-4461 -2758 (|has| |#1| (-1070)) (|has| |#1| (-485))) (-4459 |has| |#1| (-174)) (-4458 |has| |#1| (-174)) ((-4466 "*") |has| |#1| (-568)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-568)) (-4456 |has| |#1| (-568))) 
+((-4462 -2760 (|has| |#1| (-1070)) (|has| |#1| (-485))) (-4460 |has| |#1| (-174)) (-4459 |has| |#1| (-174)) ((-4467 "*") |has| |#1| (-568)) (-4458 |has| |#1| (-568)) (-4463 |has| |#1| (-568)) (-4457 |has| |#1| (-568))) 
 NIL 
-(-443 R -1959) 
+(-443 R -1962) 
 ((|constructor| (NIL "Provides some special functions over an integral domain.")) (|iiabs| ((|#2| |#2|) "\\spad{iiabs(x)} should be local but conditional.")) (|iiGamma| ((|#2| |#2|) "\\spad{iiGamma(x)} should be local but conditional.")) (|airyBi| ((|#2| |#2|) "\\spad{airyBi(x)} returns the airybi function applied to \\spad{x}")) (|airyAi| ((|#2| |#2|) "\\spad{airyAi(x)} returns the airyai function applied to \\spad{x}")) (|besselK| ((|#2| |#2| |#2|) "\\spad{besselK(x,y)} returns the besselk function applied to \\spad{x} and \\spad{y}")) (|besselI| ((|#2| |#2| |#2|) "\\spad{besselI(x,y)} returns the besseli function applied to \\spad{x} and \\spad{y}")) (|besselY| ((|#2| |#2| |#2|) "\\spad{besselY(x,y)} returns the bessely function applied to \\spad{x} and \\spad{y}")) (|besselJ| ((|#2| |#2| |#2|) "\\spad{besselJ(x,y)} returns the besselj function applied to \\spad{x} and \\spad{y}")) (|polygamma| ((|#2| |#2| |#2|) "\\spad{polygamma(x,y)} returns the polygamma function applied to \\spad{x} and \\spad{y}")) (|digamma| ((|#2| |#2|) "\\spad{digamma(x)} returns the digamma function applied to \\spad{x}")) (|Beta| ((|#2| |#2| |#2|) "\\spad{Beta(x,y)} returns the beta function applied to \\spad{x} and \\spad{y}")) (|Gamma| ((|#2| |#2| |#2|) "\\spad{Gamma(a,x)} returns the incomplete Gamma function applied to a and \\spad{x}") ((|#2| |#2|) "\\spad{Gamma(f)} returns the formal Gamma function applied to \\spad{f}")) (|abs| ((|#2| |#2|) "\\spad{abs(f)} returns the absolute value operator applied to \\spad{f}")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\spad{F}; error if \\spad{op} is not a special function operator")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} is \\spad{true} if \\spad{op} is a special function operator."))) 
 NIL 
 NIL 
-(-444 R -1959) 
+(-444 R -1962) 
 ((|constructor| (NIL "FunctionsSpacePrimitiveElement provides functions to compute primitive elements in functions spaces.")) (|primitiveElement| (((|Record| (|:| |primelt| |#2|) (|:| |pol1| (|SparseUnivariatePolynomial| |#2|)) (|:| |pol2| (|SparseUnivariatePolynomial| |#2|)) (|:| |prim| (|SparseUnivariatePolynomial| |#2|))) |#2| |#2|) "\\spad{primitiveElement(a1, a2)} returns \\spad{[a, q1, q2, q]} such that \\spad{k(a1, a2) = k(a)},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. The minimal polynomial for a2 may involve \\spad{a1},{} but the minimal polynomial for \\spad{a1} may not involve a2; This operations uses \\spadfun{resultant}.") (((|Record| (|:| |primelt| |#2|) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#2|))) (|:| |prim| (|SparseUnivariatePolynomial| |#2|))) (|List| |#2|)) "\\spad{primitiveElement([a1,...,an])} returns \\spad{[a, [q1,...,qn], q]} such that then \\spad{k(a1,...,an) = k(a)},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}."))) 
 NIL 
 ((|HasCategory| |#2| (QUOTE (-27)))) 
-(-445 R -1959) 
+(-445 R -1962) 
 ((|constructor| (NIL "This package provides function which replaces transcendental kernels in a function space by random integers. The correspondence between the kernels and the integers is fixed between calls to new().")) (|newReduc| (((|Void|)) "\\spad{newReduc()} \\undocumented")) (|bringDown| (((|SparseUnivariatePolynomial| (|Fraction| (|Integer|))) |#2| (|Kernel| |#2|)) "\\spad{bringDown(f,k)} \\undocumented") (((|Fraction| (|Integer|)) |#2|) "\\spad{bringDown(f)} \\undocumented"))) 
 NIL 
 NIL 
@@ -1716,7 +1716,7 @@ NIL
 ((|constructor| (NIL "Creates and manipulates objects which correspond to the basic FORTRAN data types: REAL,{} INTEGER,{} COMPLEX,{} LOGICAL and CHARACTER")) (= (((|Boolean|) $ $) "\\spad{x=y} tests for equality")) (|logical?| (((|Boolean|) $) "\\spad{logical?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type LOGICAL.")) (|character?| (((|Boolean|) $) "\\spad{character?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type CHARACTER.")) (|doubleComplex?| (((|Boolean|) $) "\\spad{doubleComplex?(t)} tests whether \\spad{t} is equivalent to the (non-standard) FORTRAN type DOUBLE COMPLEX.")) (|complex?| (((|Boolean|) $) "\\spad{complex?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type COMPLEX.")) (|integer?| (((|Boolean|) $) "\\spad{integer?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type INTEGER.")) (|double?| (((|Boolean|) $) "\\spad{double?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type DOUBLE PRECISION")) (|real?| (((|Boolean|) $) "\\spad{real?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type REAL.")) (|coerce| (((|SExpression|) $) "\\spad{coerce(x)} returns the \\spad{s}-expression associated with \\spad{x}") (((|Symbol|) $) "\\spad{coerce(x)} returns the symbol associated with \\spad{x}") (($ (|Symbol|)) "\\spad{coerce(s)} transforms the symbol \\spad{s} into an element of FortranScalarType provided \\spad{s} is one of real,{} complex,{}double precision,{} logical,{} integer,{} character,{} REAL,{} COMPLEX,{} LOGICAL,{} INTEGER,{} CHARACTER,{} DOUBLE PRECISION") (($ (|String|)) "\\spad{coerce(s)} transforms the string \\spad{s} into an element of FortranScalarType provided \\spad{s} is one of \"real\",{} \"double precision\",{} \"complex\",{} \"logical\",{} \"integer\",{} \"character\",{} \"REAL\",{} \"COMPLEX\",{} \"LOGICAL\",{} \"INTEGER\",{} \"CHARACTER\",{} \"DOUBLE PRECISION\""))) 
 NIL 
 NIL 
-(-447 R -1959 UP) 
+(-447 R -1962 UP) 
 ((|constructor| (NIL "\\indented{1}{Used internally by IR2F} Author: Manuel Bronstein Date Created: 12 May 1988 Date Last Updated: 22 September 1993 Keywords: function,{} space,{} polynomial,{} factoring")) (|anfactor| (((|Union| (|Factored| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))) "failed") |#3|) "\\spad{anfactor(p)} tries to factor \\spad{p} over algebraic numbers,{} returning \"failed\" if it cannot")) (|UP2ifCan| (((|Union| (|:| |overq| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) (|:| |overan| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))) (|:| |failed| (|Boolean|))) |#3|) "\\spad{UP2ifCan(x)} should be local but conditional.")) (|qfactor| (((|Union| (|Factored| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) "failed") |#3|) "\\spad{qfactor(p)} tries to factor \\spad{p} over fractions of integers,{} returning \"failed\" if it cannot")) (|ffactor| (((|Factored| |#3|) |#3|) "\\spad{ffactor(p)} tries to factor a univariate polynomial \\spad{p} over \\spad{F}"))) 
 NIL 
 ((|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-48))))) 
@@ -1748,7 +1748,7 @@ NIL
 ((|constructor| (NIL "\\spadtype{GaloisGroupFactorizer} provides functions to factor resolvents.")) (|btwFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|) (|Set| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{btwFact(p,sqf,pd,r)} returns the factorization of \\spad{p},{} the result is a Record such that \\spad{contp=}content \\spad{p},{} \\spad{factors=}List of irreducible factors of \\spad{p} with exponent. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors). \\spad{pd} is the \\spadtype{Set} of possible degrees. \\spad{r} is a lower bound for the number of factors of \\spad{p}. Please do not use this function in your code because its design may change.")) (|henselFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|)) "\\spad{henselFact(p,sqf)} returns the factorization of \\spad{p},{} the result is a Record such that \\spad{contp=}content \\spad{p},{} \\spad{factors=}List of irreducible factors of \\spad{p} with exponent. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors).")) (|factorOfDegree| (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|) (|Boolean|)) "\\spad{factorOfDegree(d,p,listOfDegrees,r,sqf)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees},{} and that \\spad{p} has at least \\spad{r} factors. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors).") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factorOfDegree(d,p,listOfDegrees,r)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees},{} and that \\spad{p} has at least \\spad{r} factors.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factorOfDegree(d,p,listOfDegrees)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|NonNegativeInteger|)) "\\spad{factorOfDegree(d,p,r)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has at least \\spad{r} factors.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1|) "\\spad{factorOfDegree(d,p)} returns a factor of \\spad{p} of degree \\spad{d}.")) (|factorSquareFree| (((|Factored| |#1|) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,d,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{d} divides the degree of all factors of \\spad{p} and that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,listOfDegrees,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees} and that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factorSquareFree(p,listOfDegrees)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(p)} returns the factorization of \\spad{p} which is supposed not having any repeated factor (this is not checked).")) (|factor| (((|Factored| |#1|) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factor(p,d,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{d} divides the degree of all factors of \\spad{p} and that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factor(p,listOfDegrees,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees} and that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factor(p,listOfDegrees)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}.") (((|Factored| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{factor(p,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1|) "\\spad{factor(p)} returns the factorization of \\spad{p} over the integers.")) (|tryFunctionalDecomposition| (((|Boolean|) (|Boolean|)) "\\spad{tryFunctionalDecomposition(b)} chooses whether factorizers have to look for functional decomposition of polynomials (\\spad{true}) or not (\\spad{false}). Returns the previous value.")) (|tryFunctionalDecomposition?| (((|Boolean|)) "\\spad{tryFunctionalDecomposition?()} returns \\spad{true} if factorizers try functional decomposition of polynomials before factoring them.")) (|eisensteinIrreducible?| (((|Boolean|) |#1|) "\\spad{eisensteinIrreducible?(p)} returns \\spad{true} if \\spad{p} can be shown to be irreducible by Eisenstein\\spad{'s} criterion,{} \\spad{false} is inconclusive.")) (|useEisensteinCriterion| (((|Boolean|) (|Boolean|)) "\\spad{useEisensteinCriterion(b)} chooses whether factorizers check Eisenstein\\spad{'s} criterion before factoring: \\spad{true} for using it,{} \\spad{false} else. Returns the previous value.")) (|useEisensteinCriterion?| (((|Boolean|)) "\\spad{useEisensteinCriterion?()} returns \\spad{true} if factorizers check Eisenstein\\spad{'s} criterion before factoring.")) (|useSingleFactorBound| (((|Boolean|) (|Boolean|)) "\\spad{useSingleFactorBound(b)} chooses the algorithm to be used by the factorizers: \\spad{true} for algorithm with single factor bound,{} \\spad{false} for algorithm with overall bound. Returns the previous value.")) (|useSingleFactorBound?| (((|Boolean|)) "\\spad{useSingleFactorBound?()} returns \\spad{true} if algorithm with single factor bound is used for factorization,{} \\spad{false} for algorithm with overall bound.")) (|modularFactor| (((|Record| (|:| |prime| (|Integer|)) (|:| |factors| (|List| |#1|))) |#1|) "\\spad{modularFactor(f)} chooses a \"good\" prime and returns the factorization of \\spad{f} modulo this prime in a form that may be used by \\spadfunFrom{completeHensel}{GeneralHenselPackage}. If prime is zero it means that \\spad{f} has been proved to be irreducible over the integers or that \\spad{f} is a unit (\\spadignore{i.e.} 1 or \\spad{-1}). \\spad{f} shall be primitive (\\spadignore{i.e.} content(\\spad{p})\\spad{=1}) and square free (\\spadignore{i.e.} without repeated factors).")) (|numberOfFactors| (((|NonNegativeInteger|) (|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|))))) "\\spad{numberOfFactors(ddfactorization)} returns the number of factors of the polynomial \\spad{f} modulo \\spad{p} where \\spad{ddfactorization} is the distinct degree factorization of \\spad{f} computed by \\spadfunFrom{ddFact}{ModularDistinctDegreeFactorizer} for some prime \\spad{p}.")) (|stopMusserTrials| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{stopMusserTrials(n)} sets to \\spad{n} the bound on the number of factors for which \\spadfun{modularFactor} stops to look for an other prime. You will have to remember that the step of recombining the extraneous factors may take up to \\spad{2**n} trials. Returns the previous value.") (((|PositiveInteger|)) "\\spad{stopMusserTrials()} returns the bound on the number of factors for which \\spadfun{modularFactor} stops to look for an other prime. You will have to remember that the step of recombining the extraneous factors may take up to \\spad{2**stopMusserTrials()} trials.")) (|musserTrials| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{musserTrials(n)} sets to \\spad{n} the number of primes to be tried in \\spadfun{modularFactor} and returns the previous value.") (((|PositiveInteger|)) "\\spad{musserTrials()} returns the number of primes that are tried in \\spadfun{modularFactor}.")) (|degreePartition| (((|Multiset| (|NonNegativeInteger|)) (|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|))))) "\\spad{degreePartition(ddfactorization)} returns the degree partition of the polynomial \\spad{f} modulo \\spad{p} where \\spad{ddfactorization} is the distinct degree factorization of \\spad{f} computed by \\spadfunFrom{ddFact}{ModularDistinctDegreeFactorizer} for some prime \\spad{p}.")) (|makeFR| (((|Factored| |#1|) (|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|))))))) "\\spad{makeFR(flist)} turns the final factorization of henselFact into a \\spadtype{Factored} object."))) 
 NIL 
 NIL 
-(-455 R UP -1959) 
+(-455 R UP -1962) 
 ((|constructor| (NIL "\\spadtype{GaloisGroupFactorizationUtilities} provides functions that will be used by the factorizer.")) (|length| ((|#3| |#2|) "\\spad{length(p)} returns the sum of the absolute values of the coefficients of the polynomial \\spad{p}.")) (|height| ((|#3| |#2|) "\\spad{height(p)} returns the maximal absolute value of the coefficients of the polynomial \\spad{p}.")) (|infinityNorm| ((|#3| |#2|) "\\spad{infinityNorm(f)} returns the maximal absolute value of the coefficients of the polynomial \\spad{f}.")) (|quadraticNorm| ((|#3| |#2|) "\\spad{quadraticNorm(f)} returns the \\spad{l2} norm of the polynomial \\spad{f}.")) (|norm| ((|#3| |#2| (|PositiveInteger|)) "\\spad{norm(f,p)} returns the \\spad{lp} norm of the polynomial \\spad{f}.")) (|singleFactorBound| (((|Integer|) |#2|) "\\spad{singleFactorBound(p,r)} returns a bound on the infinite norm of the factor of \\spad{p} with smallest Bombieri\\spad{'s} norm. \\spad{p} shall be of degree higher or equal to 2.") (((|Integer|) |#2| (|NonNegativeInteger|)) "\\spad{singleFactorBound(p,r)} returns a bound on the infinite norm of the factor of \\spad{p} with smallest Bombieri\\spad{'s} norm. \\spad{r} is a lower bound for the number of factors of \\spad{p}. \\spad{p} shall be of degree higher or equal to 2.")) (|rootBound| (((|Integer|) |#2|) "\\spad{rootBound(p)} returns a bound on the largest norm of the complex roots of \\spad{p}.")) (|bombieriNorm| ((|#3| |#2| (|PositiveInteger|)) "\\spad{bombieriNorm(p,n)} returns the \\spad{n}th Bombieri\\spad{'s} norm of \\spad{p}.") ((|#3| |#2|) "\\spad{bombieriNorm(p)} returns quadratic Bombieri\\spad{'s} norm of \\spad{p}.")) (|beauzamyBound| (((|Integer|) |#2|) "\\spad{beauzamyBound(p)} returns a bound on the larger coefficient of any factor of \\spad{p}."))) 
 NIL 
 NIL 
@@ -1786,16 +1786,16 @@ NIL
 NIL 
 (-464) 
 ((|constructor| (NIL "This category describes domains where \\spadfun{\\spad{gcd}} can be computed but where there is no guarantee of the existence of \\spadfun{factor} operation for factorisation into irreducibles. However,{} if such a \\spadfun{factor} operation exist,{} factorization will be unique up to order and units.")) (|lcm| (($ (|List| $)) "\\spad{lcm(l)} returns the least common multiple of the elements of the list \\spad{l}.") (($ $ $) "\\spad{lcm(x,y)} returns the least common multiple of \\spad{x} and \\spad{y}.")) (|gcd| (($ (|List| $)) "\\spad{gcd(l)} returns the common \\spad{gcd} of the elements in the list \\spad{l}.") (($ $ $) "\\spad{gcd(x,y)} returns the greatest common divisor of \\spad{x} and \\spad{y}."))) 
-((-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-465 R |n| |ls| |gamma|) 
 ((|constructor| (NIL "AlgebraGenericElementPackage allows you to create generic elements of an algebra,{} \\spadignore{i.e.} the scalars are extended to include symbolic coefficients")) (|conditionsForIdempotents| (((|List| (|Polynomial| |#1|))) "\\spad{conditionsForIdempotents()} determines a complete list of polynomial equations for the coefficients of idempotents with respect to the fixed \\spad{R}-module basis") (((|List| (|Polynomial| |#1|)) (|Vector| $)) "\\spad{conditionsForIdempotents([v1,...,vn])} determines a complete list of polynomial equations for the coefficients of idempotents with respect to the \\spad{R}-module basis \\spad{v1},{}...,{}\\spad{vn}")) (|genericRightDiscriminant| (((|Fraction| (|Polynomial| |#1|))) "\\spad{genericRightDiscriminant()} is the determinant of the generic left trace forms of all products of basis element,{} if the generic left trace form is associative,{} an algebra is separable if the generic left discriminant is invertible,{} if it is non-zero,{} there is some ring extension which makes the algebra separable")) (|genericRightTraceForm| (((|Fraction| (|Polynomial| |#1|)) $ $) "\\spad{genericRightTraceForm (a,b)} is defined to be \\spadfun{genericRightTrace (a*b)},{} this defines a symmetric bilinear form on the algebra")) (|genericLeftDiscriminant| (((|Fraction| (|Polynomial| |#1|))) "\\spad{genericLeftDiscriminant()} is the determinant of the generic left trace forms of all products of basis element,{} if the generic left trace form is associative,{} an algebra is separable if the generic left discriminant is invertible,{} if it is non-zero,{} there is some ring extension which makes the algebra separable")) (|genericLeftTraceForm| (((|Fraction| (|Polynomial| |#1|)) $ $) "\\spad{genericLeftTraceForm (a,b)} is defined to be \\spad{genericLeftTrace (a*b)},{} this defines a symmetric bilinear form on the algebra")) (|genericRightNorm| (((|Fraction| (|Polynomial| |#1|)) $) "\\spad{genericRightNorm(a)} substitutes the coefficients of \\spad{a} for the generic coefficients into the coefficient of the constant term in \\spadfun{rightRankPolynomial} and changes the sign if the degree of this polynomial is odd")) (|genericRightTrace| (((|Fraction| (|Polynomial| |#1|)) $) "\\spad{genericRightTrace(a)} substitutes the coefficients of \\spad{a} for the generic coefficients into the coefficient of the second highest term in \\spadfun{rightRankPolynomial} and changes the sign")) (|genericRightMinimalPolynomial| (((|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| |#1|))) $) "\\spad{genericRightMinimalPolynomial(a)} substitutes the coefficients of \\spad{a} for the generic coefficients in \\spadfun{rightRankPolynomial}")) (|rightRankPolynomial| (((|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| |#1|)))) "\\spad{rightRankPolynomial()} returns the right minimimal polynomial of the generic element")) (|genericLeftNorm| (((|Fraction| (|Polynomial| |#1|)) $) "\\spad{genericLeftNorm(a)} substitutes the coefficients of \\spad{a} for the generic coefficients into the coefficient of the constant term in \\spadfun{leftRankPolynomial} and changes the sign if the degree of this polynomial is odd. This is a form of degree \\spad{k}")) (|genericLeftTrace| (((|Fraction| (|Polynomial| |#1|)) $) "\\spad{genericLeftTrace(a)} substitutes the coefficients of \\spad{a} for the generic coefficients into the coefficient of the second highest term in \\spadfun{leftRankPolynomial} and changes the sign. \\indented{1}{This is a linear form}")) (|genericLeftMinimalPolynomial| (((|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| |#1|))) $) "\\spad{genericLeftMinimalPolynomial(a)} substitutes the coefficients of {em a} for the generic coefficients in \\spad{leftRankPolynomial()}")) (|leftRankPolynomial| (((|SparseUnivariatePolynomial| (|Fraction| (|Polynomial| |#1|)))) "\\spad{leftRankPolynomial()} returns the left minimimal polynomial of the generic element")) (|generic| (($ (|Vector| (|Symbol|)) (|Vector| $)) "\\spad{generic(vs,ve)} returns a generic element,{} \\spadignore{i.e.} the linear combination of \\spad{ve} with the symbolic coefficients \\spad{vs} error,{} if the vector of symbols is shorter than the vector of elements") (($ (|Symbol|) (|Vector| $)) "\\spad{generic(s,v)} returns a generic element,{} \\spadignore{i.e.} the linear combination of \\spad{v} with the symbolic coefficients \\spad{s1,s2,..}") (($ (|Vector| $)) "\\spad{generic(ve)} returns a generic element,{} \\spadignore{i.e.} the linear combination of \\spad{ve} basis with the symbolic coefficients \\spad{\\%x1,\\%x2,..}") (($ (|Vector| (|Symbol|))) "\\spad{generic(vs)} returns a generic element,{} \\spadignore{i.e.} the linear combination of the fixed basis with the symbolic coefficients \\spad{vs}; error,{} if the vector of symbols is too short") (($ (|Symbol|)) "\\spad{generic(s)} returns a generic element,{} \\spadignore{i.e.} the linear combination of the fixed basis with the symbolic coefficients \\spad{s1,s2,..}") (($) "\\spad{generic()} returns a generic element,{} \\spadignore{i.e.} the linear combination of the fixed basis with the symbolic coefficients \\spad{\\%x1,\\%x2,..}")) (|rightUnits| (((|Union| (|Record| (|:| |particular| $) (|:| |basis| (|List| $))) "failed")) "\\spad{rightUnits()} returns the affine space of all right units of the algebra,{} or \\spad{\"failed\"} if there is none")) (|leftUnits| (((|Union| (|Record| (|:| |particular| $) (|:| |basis| (|List| $))) "failed")) "\\spad{leftUnits()} returns the affine space of all left units of the algebra,{} or \\spad{\"failed\"} if there is none")) (|coerce| (($ (|Vector| (|Fraction| (|Polynomial| |#1|)))) "\\spad{coerce(v)} assumes that it is called with a vector of length equal to the dimension of the algebra,{} then a linear combination with the basis element is formed"))) 
-((-4461 |has| (-419 (-971 |#1|)) (-568)) (-4459 . T) (-4458 . T)) 
+((-4462 |has| (-419 (-971 |#1|)) (-568)) (-4460 . T) (-4459 . T)) 
 ((|HasCategory| (-419 (-971 |#1|)) (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| (-419 (-971 |#1|)) (QUOTE (-568)))) 
 (-466 |vl| R E) 
 ((|constructor| (NIL "\\indented{2}{This type supports distributed multivariate polynomials} whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is specified by its third parameter. Suggested types which define term orderings include: \\spadtype{DirectProduct},{} \\spadtype{HomogeneousDirectProduct},{} \\spadtype{SplitHomogeneousDirectProduct} and finally \\spadtype{OrderedDirectProduct} which accepts an arbitrary user function to define a term ordering.")) (|reorder| (($ $ (|List| (|Integer|))) "\\spad{reorder(p, perm)} applies the permutation perm to the variables in a polynomial and returns the new correctly ordered polynomial"))) 
-(((-4466 "*") |has| |#2| (-174)) (-4457 |has| |#2| (-568)) (-4462 |has| |#2| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) 
-((|HasCategory| |#2| (QUOTE (-928))) (-2758 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2758 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2758 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (-2758 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-568)))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2758 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374))) (|HasAttribute| |#2| (QUOTE -4462)) (|HasCategory| |#2| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-146))))) 
+(((-4467 "*") |has| |#2| (-174)) (-4458 |has| |#2| (-568)) (-4463 |has| |#2| (-6 -4463)) (-4460 . T) (-4459 . T) (-4462 . T)) 
+((|HasCategory| |#2| (QUOTE (-928))) (-2760 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2760 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2760 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (-2760 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-568)))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2760 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374))) (|HasAttribute| |#2| (QUOTE -4463)) (|HasCategory| |#2| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-146))))) 
 (-467 R BP) 
 ((|constructor| (NIL "\\indented{1}{Author : \\spad{P}.Gianni.} January 1990 The equation \\spad{Af+Bg=h} and its generalization to \\spad{n} polynomials is solved for solutions over the \\spad{R},{} euclidean domain. A table containing the solutions of \\spad{Af+Bg=x**k} is used. The operations are performed modulus a prime which are in principle big enough,{} but the solutions are tested and,{} in case of failure,{} a hensel lifting process is used to get to the right solutions. It will be used in the factorization of multivariate polynomials over finite field,{} with \\spad{R=F[x]}.")) (|testModulus| (((|Boolean|) |#1| (|List| |#2|)) "\\spad{testModulus(p,lp)} returns \\spad{true} if the the prime \\spad{p} is valid for the list of polynomials \\spad{lp},{} \\spadignore{i.e.} preserves the degree and they remain relatively prime.")) (|solveid| (((|Union| (|List| |#2|) "failed") |#2| |#1| (|Vector| (|List| |#2|))) "\\spad{solveid(h,table)} computes the coefficients of the extended euclidean algorithm for a list of polynomials whose tablePow is \\spad{table} and with right side \\spad{h}.")) (|tablePow| (((|Union| (|Vector| (|List| |#2|)) "failed") (|NonNegativeInteger|) |#1| (|List| |#2|)) "\\spad{tablePow(maxdeg,prime,lpol)} constructs the table with the coefficients of the Extended Euclidean Algorithm for \\spad{lpol}. Here the right side is \\spad{x**k},{} for \\spad{k} less or equal to \\spad{maxdeg}. The operation returns \"failed\" when the elements are not coprime modulo \\spad{prime}.")) (|compBound| (((|NonNegativeInteger|) |#2| (|List| |#2|)) "\\spad{compBound(p,lp)} computes a bound for the coefficients of the solution polynomials. Given a polynomial right hand side \\spad{p},{} and a list \\spad{lp} of left hand side polynomials. Exported because it depends on the valuation.")) (|reduction| ((|#2| |#2| |#1|) "\\spad{reduction(p,prime)} reduces the polynomial \\spad{p} modulo \\spad{prime} of \\spad{R}. Note: this function is exported only because it\\spad{'s} conditional."))) 
 NIL 
@@ -1822,7 +1822,7 @@ NIL
 NIL 
 (-473 |vl| R IS E |ff| P) 
 ((|constructor| (NIL "This package \\undocumented")) (* (($ |#6| $) "\\spad{p*x} \\undocumented")) (|multMonom| (($ |#2| |#4| $) "\\spad{multMonom(r,e,x)} \\undocumented")) (|build| (($ |#2| |#3| |#4|) "\\spad{build(r,i,e)} \\undocumented")) (|unitVector| (($ |#3|) "\\spad{unitVector(x)} \\undocumented")) (|monomial| (($ |#2| (|ModuleMonomial| |#3| |#4| |#5|)) "\\spad{monomial(r,x)} \\undocumented")) (|reductum| (($ $) "\\spad{reductum(x)} \\undocumented")) (|leadingIndex| ((|#3| $) "\\spad{leadingIndex(x)} \\undocumented")) (|leadingExponent| ((|#4| $) "\\spad{leadingExponent(x)} \\undocumented")) (|leadingMonomial| (((|ModuleMonomial| |#3| |#4| |#5|) $) "\\spad{leadingMonomial(x)} \\undocumented")) (|leadingCoefficient| ((|#2| $) "\\spad{leadingCoefficient(x)} \\undocumented"))) 
-((-4459 . T) (-4458 . T)) 
+((-4460 . T) (-4459 . T)) 
 NIL 
 (-474 E V R P Q) 
 ((|constructor| (NIL "Gosper\\spad{'s} summation algorithm.")) (|GospersMethod| (((|Union| |#5| "failed") |#5| |#2| (|Mapping| |#2|)) "\\spad{GospersMethod(b, n, new)} returns a rational function \\spad{rf(n)} such that \\spad{a(n) * rf(n)} is the indefinite sum of \\spad{a(n)} with respect to upward difference on \\spad{n},{} \\spadignore{i.e.} \\spad{a(n+1) * rf(n+1) - a(n) * rf(n) = a(n)},{} where \\spad{b(n) = a(n)/a(n-1)} is a rational function. Returns \"failed\" if no such rational function \\spad{rf(n)} exists. Note: \\spad{new} is a nullary function returning a new \\spad{V} every time. The condition on \\spad{a(n)} is that \\spad{a(n)/a(n-1)} is a rational function of \\spad{n}."))) 
@@ -1830,7 +1830,7 @@ NIL
 NIL 
 (-475 R E |VarSet| P) 
 ((|constructor| (NIL "A domain for polynomial sets.")) (|convert| (($ (|List| |#4|)) "\\axiom{convert(\\spad{lp})} returns the polynomial set whose members are the polynomials of \\axiom{\\spad{lp}}."))) 
-((-4465 . T) (-4464 . T)) 
+((-4466 . T) (-4465 . T)) 
 ((-12 (|HasCategory| |#4| (QUOTE (-1121))) (|HasCategory| |#4| (LIST (QUOTE -319) (|devaluate| |#4|)))) (|HasCategory| |#4| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#4| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#4| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#4| (QUOTE (-102)))) 
 (-476 S R E) 
 ((|constructor| (NIL "GradedAlgebra(\\spad{R},{}\\spad{E}) denotes ``E-graded \\spad{R}-algebra\\spad{''}. A graded algebra is a graded module together with a degree preserving \\spad{R}-linear map,{} called the {\\em product}. \\blankline The name ``product\\spad{''} is written out in full so inner and outer products with the same mapping type can be distinguished by name.")) (|product| (($ $ $) "\\spad{product(a,b)} is the degree-preserving \\spad{R}-linear product: \\blankline \\indented{2}{\\spad{degree product(a,b) = degree a + degree b}} \\indented{2}{\\spad{product(a1+a2,b) = product(a1,b) + product(a2,b)}} \\indented{2}{\\spad{product(a,b1+b2) = product(a,b1) + product(a,b2)}} \\indented{2}{\\spad{product(r*a,b) = product(a,r*b) = r*product(a,b)}} \\indented{2}{\\spad{product(a,product(b,c)) = product(product(a,b),c)}}")) ((|One|) (($) "1 is the identity for \\spad{product}."))) 
@@ -1860,7 +1860,7 @@ NIL
 ((|constructor| (NIL "GradedModule(\\spad{R},{}\\spad{E}) denotes ``E-graded \\spad{R}-module\\spad{''},{} \\spadignore{i.e.} collection of \\spad{R}-modules indexed by an abelian monoid \\spad{E}. An element \\spad{g} of \\spad{G[s]} for some specific \\spad{s} in \\spad{E} is said to be an element of \\spad{G} with {\\em degree} \\spad{s}. Sums are defined in each module \\spad{G[s]} so two elements of \\spad{G} have a sum if they have the same degree. \\blankline Morphisms can be defined and composed by degree to give the mathematical category of graded modules.")) (+ (($ $ $) "\\spad{g+h} is the sum of \\spad{g} and \\spad{h} in the module of elements of the same degree as \\spad{g} and \\spad{h}. Error: if \\spad{g} and \\spad{h} have different degrees.")) (- (($ $ $) "\\spad{g-h} is the difference of \\spad{g} and \\spad{h} in the module of elements of the same degree as \\spad{g} and \\spad{h}. Error: if \\spad{g} and \\spad{h} have different degrees.") (($ $) "\\spad{-g} is the additive inverse of \\spad{g} in the module of elements of the same grade as \\spad{g}.")) (* (($ $ |#1|) "\\spad{g*r} is right module multiplication.") (($ |#1| $) "\\spad{r*g} is left module multiplication.")) ((|Zero|) (($) "0 denotes the zero of degree 0.")) (|degree| ((|#2| $) "\\spad{degree(g)} names the degree of \\spad{g}. The set of all elements of a given degree form an \\spad{R}-module."))) 
 NIL 
 NIL 
-(-483 |lv| -1959 R) 
+(-483 |lv| -1962 R) 
 ((|constructor| (NIL "\\indented{1}{Author : \\spad{P}.Gianni,{} Summer \\spad{'88},{} revised November \\spad{'89}} Solve systems of polynomial equations using Groebner bases Total order Groebner bases are computed and then converted to lex ones This package is mostly intended for internal use.")) (|genericPosition| (((|Record| (|:| |dpolys| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|:| |coords| (|List| (|Integer|)))) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|OrderedVariableList| |#1|))) "\\spad{genericPosition(lp,lv)} puts a radical zero dimensional ideal in general position,{} for system \\spad{lp} in variables \\spad{lv}.")) (|testDim| (((|Union| (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) "failed") (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|OrderedVariableList| |#1|))) "\\spad{testDim(lp,lv)} tests if the polynomial system \\spad{lp} in variables \\spad{lv} is zero dimensional.")) (|groebSolve| (((|List| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|OrderedVariableList| |#1|))) "\\spad{groebSolve(lp,lv)} reduces the polynomial system \\spad{lp} in variables \\spad{lv} to triangular form. Algorithm based on groebner bases algorithm with linear algebra for change of ordering. Preprocessing for the general solver. The polynomials in input are of type \\spadtype{DMP}."))) 
 NIL 
 NIL 
@@ -1870,23 +1870,23 @@ NIL
 NIL 
 (-485) 
 ((|constructor| (NIL "The class of multiplicative groups,{} \\spadignore{i.e.} monoids with multiplicative inverses. \\blankline")) (|commutator| (($ $ $) "\\spad{commutator(p,q)} computes \\spad{inv(p) * inv(q) * p * q}.")) (|conjugate| (($ $ $) "\\spad{conjugate(p,q)} computes \\spad{inv(q) * p * q}; this is 'right action by conjugation'.")) (|unitsKnown| ((|attribute|) "unitsKnown asserts that recip only returns \"failed\" for non-units.")) (** (($ $ (|Integer|)) "\\spad{x**n} returns \\spad{x} raised to the integer power \\spad{n}.")) (/ (($ $ $) "\\spad{x/y} is the same as \\spad{x} times the inverse of \\spad{y}.")) (|inv| (($ $) "\\spad{inv(x)} returns the inverse of \\spad{x}."))) 
-((-4461 . T)) 
+((-4462 . T)) 
 NIL 
 (-486 |Coef| |var| |cen|) 
 ((|constructor| (NIL "This is a category of univariate Puiseux series constructed from univariate Laurent series. A Puiseux series is represented by a pair \\spad{[r,f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x\\^r)}.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|coerce| (($ (|UnivariatePuiseuxSeries| |#1| |#2| |#3|)) "\\spad{coerce(f)} converts a Puiseux series to a general power series.") (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Puiseux series."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-374))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2758 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3569) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2758 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -3441) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1197))))) (|HasSignature| |#1| (LIST (QUOTE -1966) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#1|))))))) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4463 |has| |#1| (-374)) (-4457 |has| |#1| (-374)) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-374))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2760 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3570) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2760 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -1491) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1197))))) (|HasSignature| |#1| (LIST (QUOTE -1969) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#1|))))))) 
 (-487 |Key| |Entry| |Tbl| |dent|) 
 ((|constructor| (NIL "A sparse table has a default entry,{} which is returned if no other value has been explicitly stored for a key."))) 
-((-4465 . T)) 
-((-12 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4300) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4438) (|devaluate| |#2|)))))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-861))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121)))) 
+((-4466 . T)) 
+((-12 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4301) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4440) (|devaluate| |#2|)))))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-861))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121)))) 
 (-488 R E V P) 
 ((|constructor| (NIL "A domain constructor of the category \\axiomType{TriangularSetCategory}. The only requirement for a list of polynomials to be a member of such a domain is the following: no polynomial is constant and two distinct polynomials have distinct main variables. Such a triangular set may not be auto-reduced or consistent. Triangular sets are stored as sorted lists \\spad{w}.\\spad{r}.\\spad{t}. the main variables of their members but they are displayed in reverse order.\\newline References : \\indented{1}{[1] \\spad{P}. AUBRY,{} \\spad{D}. LAZARD and \\spad{M}. MORENO MAZA \"On the Theories} \\indented{5}{of Triangular Sets\" Journal of Symbol. Comp. (to appear)}"))) 
-((-4465 . T) (-4464 . T)) 
+((-4466 . T) (-4465 . T)) 
 ((-12 (|HasCategory| |#4| (QUOTE (-1121))) (|HasCategory| |#4| (LIST (QUOTE -319) (|devaluate| |#4|)))) (|HasCategory| |#4| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#4| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#3| (QUOTE (-379))) (|HasCategory| |#4| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#4| (QUOTE (-102)))) 
 (-489) 
 ((|constructor| (NIL "\\indented{1}{Symbolic fractions in \\%\\spad{pi} with integer coefficients;} \\indented{1}{The point for using \\spad{Pi} as the default domain for those fractions} \\indented{1}{is that \\spad{Pi} is coercible to the float types,{} and not Expression.} Date Created: 21 Feb 1990 Date Last Updated: 12 Mai 1992")) (|pi| (($) "\\spad{pi()} returns the symbolic \\%\\spad{pi}."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-490) 
 ((|constructor| (NIL "This domain represents a `has' expression.")) (|rhs| (((|SpadAst|) $) "\\spad{rhs(e)} returns the right hand side of the case expression `e'.")) (|lhs| (((|SpadAst|) $) "\\spad{lhs(e)} returns the left hand side of the has expression `e'."))) 
@@ -1894,29 +1894,29 @@ NIL
 NIL 
 (-491 |Key| |Entry| |hashfn|) 
 ((|constructor| (NIL "This domain provides access to the underlying Lisp hash tables. By varying the hashfn parameter,{} tables suited for different purposes can be obtained."))) 
-((-4464 . T) (-4465 . T)) 
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+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4301) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4440) (|devaluate| |#2|)))))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-1121))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102)))) 
 (-492) 
 ((|constructor| (NIL "\\indented{1}{Author : Larry Lambe} Date Created : August 1988 Date Last Updated : March 9 1990 Related Constructors: OrderedSetInts,{} Commutator,{} FreeNilpotentLie AMS Classification: Primary 17B05,{} 17B30; Secondary 17A50 Keywords: free Lie algebra,{} Hall basis,{} basic commutators Description : Generate a basis for the free Lie algebra on \\spad{n} generators over a ring \\spad{R} with identity up to basic commutators of length \\spad{c} using the algorithm of \\spad{P}. Hall as given in Serre\\spad{'s} book Lie Groups \\spad{--} Lie Algebras")) (|generate| (((|Vector| (|List| (|Integer|))) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{generate(numberOfGens, maximalWeight)} generates a vector of elements of the form [left,{}weight,{}right] which represents a \\spad{P}. Hall basis element for the free lie algebra on \\spad{numberOfGens} generators. We only generate those basis elements of weight less than or equal to maximalWeight")) (|inHallBasis?| (((|Boolean|) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{inHallBasis?(numberOfGens, leftCandidate, rightCandidate, left)} tests to see if a new element should be added to the \\spad{P}. Hall basis being constructed. The list \\spad{[leftCandidate,wt,rightCandidate]} is included in the basis if in the unique factorization of \\spad{rightCandidate},{} we have left factor leftOfRight,{} and leftOfRight \\spad{<=} \\spad{leftCandidate}")) (|lfunc| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{lfunc(d,n)} computes the rank of the \\spad{n}th factor in the lower central series of the free \\spad{d}-generated free Lie algebra; This rank is \\spad{d} if \\spad{n} = 1 and binom(\\spad{d},{}2) if \\spad{n} = 2"))) 
 NIL 
 NIL 
 (-493 |vl| R) 
 ((|constructor| (NIL "\\indented{2}{This type supports distributed multivariate polynomials} whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is total degree ordering refined by reverse lexicographic ordering with respect to the position that the variables appear in the list of variables parameter.")) (|reorder| (($ $ (|List| (|Integer|))) "\\spad{reorder(p, perm)} applies the permutation perm to the variables in a polynomial and returns the new correctly ordered polynomial"))) 
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-((|HasCategory| |#2| (QUOTE (-928))) (-2758 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2758 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2758 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (-2758 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-568)))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2758 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374))) (|HasAttribute| |#2| (QUOTE -4462)) (|HasCategory| |#2| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-146))))) 
-(-494 -2704 S) 
+(((-4467 "*") |has| |#2| (-174)) (-4458 |has| |#2| (-568)) (-4463 |has| |#2| (-6 -4463)) (-4460 . T) (-4459 . T) (-4462 . T)) 
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+(-494 -2706 S) 
 ((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying ordered component type. The vectors are ordered first by the sum of their components,{} and then refined using a reverse lexicographic ordering. This type is a suitable third argument for \\spadtype{GeneralDistributedMultivariatePolynomial}."))) 
-((-4458 |has| |#2| (-1070)) (-4459 |has| |#2| (-1070)) (-4461 |has| |#2| (-6 -4461)) (-4464 . T)) 
-((-2758 (-12 (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-132))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-379))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-738))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-805))) (|HasCategory| |#2| (LIST (QUOTE 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 (-496 S) 
 ((|constructor| (NIL "Heap implemented in a flexible array to allow for insertions")) (|heap| (($ (|List| |#1|)) "\\spad{heap(ls)} creates a heap of elements consisting of the elements of \\spad{ls}."))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
-(-497 -1959 UP UPUP R) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
+(-497 -1962 UP UPUP R) 
 ((|constructor| (NIL "This domains implements finite rational divisors on an hyperelliptic curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve. The equation of the curve must be \\spad{y^2} = \\spad{f}(\\spad{x}) and \\spad{f} must have odd degree."))) 
 NIL 
 NIL 
@@ -1926,12 +1926,12 @@ NIL
 NIL 
 (-499) 
 ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating hexadecimal expansions.")) (|hex| (($ (|Fraction| (|Integer|))) "\\spad{hex(r)} converts a rational number to a hexadecimal expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(h)} returns the fractional part of a hexadecimal expansion."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| (-576) (QUOTE (-928))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1043))) (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861))) (-2758 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861)))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1173))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -319) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -296) (QUOTE (-576)) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-317))) (|HasCategory| (-576) (QUOTE (-557))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (|HasCategory| (-576) (QUOTE (-146))))) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| (-576) (QUOTE (-928))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1043))) (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861))) (-2760 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861)))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1173))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -319) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -296) (QUOTE (-576)) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-317))) (|HasCategory| (-576) (QUOTE (-557))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (|HasCategory| (-576) (QUOTE (-146))))) 
 (-500 A S) 
 ((|constructor| (NIL "A homogeneous aggregate is an aggregate of elements all of the same type. In the current system,{} all aggregates are homogeneous. Two attributes characterize classes of aggregates. Aggregates from domains with attribute \\spadatt{finiteAggregate} have a finite number of members. Those with attribute \\spadatt{shallowlyMutable} allow an element to be modified or updated without changing its overall value.")) (|member?| (((|Boolean|) |#2| $) "\\spad{member?(x,u)} tests if \\spad{x} is a member of \\spad{u}. For collections,{} \\axiom{member?(\\spad{x},{}\\spad{u}) = reduce(or,{}[x=y for \\spad{y} in \\spad{u}],{}\\spad{false})}.")) (|members| (((|List| |#2|) $) "\\spad{members(u)} returns a list of the consecutive elements of \\spad{u}. For collections,{} \\axiom{parts([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = (\\spad{x},{}\\spad{y},{}...,{}\\spad{z})}.")) (|parts| (((|List| |#2|) $) "\\spad{parts(u)} returns a list of the consecutive elements of \\spad{u}. For collections,{} \\axiom{parts([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = (\\spad{x},{}\\spad{y},{}...,{}\\spad{z})}.")) (|count| (((|NonNegativeInteger|) |#2| $) "\\spad{count(x,u)} returns the number of occurrences of \\spad{x} in \\spad{u}. For collections,{} \\axiom{count(\\spad{x},{}\\spad{u}) = reduce(+,{}[x=y for \\spad{y} in \\spad{u}],{}0)}.") (((|NonNegativeInteger|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{count(p,u)} returns the number of elements \\spad{x} in \\spad{u} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}. For collections,{} \\axiom{count(\\spad{p},{}\\spad{u}) = reduce(+,{}[1 for \\spad{x} in \\spad{u} | \\spad{p}(\\spad{x})],{}0)}.")) (|every?| (((|Boolean|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{every?(f,u)} tests if \\spad{p}(\\spad{x}) is \\spad{true} for all elements \\spad{x} of \\spad{u}. Note: for collections,{} \\axiom{every?(\\spad{p},{}\\spad{u}) = reduce(and,{}map(\\spad{f},{}\\spad{u}),{}\\spad{true},{}\\spad{false})}.")) (|any?| (((|Boolean|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{any?(p,u)} tests if \\axiom{\\spad{p}(\\spad{x})} is \\spad{true} for any element \\spad{x} of \\spad{u}. Note: for collections,{} \\axiom{any?(\\spad{p},{}\\spad{u}) = reduce(or,{}map(\\spad{f},{}\\spad{u}),{}\\spad{false},{}\\spad{true})}.")) (|map!| (($ (|Mapping| |#2| |#2|) $) "\\spad{map!(f,u)} destructively replaces each element \\spad{x} of \\spad{u} by \\axiom{\\spad{f}(\\spad{x})}.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(f,u)} returns a copy of \\spad{u} with each element \\spad{x} replaced by \\spad{f}(\\spad{x}). For collections,{} \\axiom{map(\\spad{f},{}\\spad{u}) = [\\spad{f}(\\spad{x}) for \\spad{x} in \\spad{u}]}."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4464)) (|HasAttribute| |#1| (QUOTE -4465)) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) 
+((|HasAttribute| |#1| (QUOTE -4465)) (|HasAttribute| |#1| (QUOTE -4466)) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) 
 (-501 S) 
 ((|constructor| (NIL "A homogeneous aggregate is an aggregate of elements all of the same type. In the current system,{} all aggregates are homogeneous. Two attributes characterize classes of aggregates. Aggregates from domains with attribute \\spadatt{finiteAggregate} have a finite number of members. Those with attribute \\spadatt{shallowlyMutable} allow an element to be modified or updated without changing its overall value.")) (|member?| (((|Boolean|) |#1| $) "\\spad{member?(x,u)} tests if \\spad{x} is a member of \\spad{u}. For collections,{} \\axiom{member?(\\spad{x},{}\\spad{u}) = reduce(or,{}[x=y for \\spad{y} in \\spad{u}],{}\\spad{false})}.")) (|members| (((|List| |#1|) $) "\\spad{members(u)} returns a list of the consecutive elements of \\spad{u}. For collections,{} \\axiom{parts([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = (\\spad{x},{}\\spad{y},{}...,{}\\spad{z})}.")) (|parts| (((|List| |#1|) $) "\\spad{parts(u)} returns a list of the consecutive elements of \\spad{u}. For collections,{} \\axiom{parts([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = (\\spad{x},{}\\spad{y},{}...,{}\\spad{z})}.")) (|count| (((|NonNegativeInteger|) |#1| $) "\\spad{count(x,u)} returns the number of occurrences of \\spad{x} in \\spad{u}. For collections,{} \\axiom{count(\\spad{x},{}\\spad{u}) = reduce(+,{}[x=y for \\spad{y} in \\spad{u}],{}0)}.") (((|NonNegativeInteger|) (|Mapping| (|Boolean|) |#1|) $) "\\spad{count(p,u)} returns the number of elements \\spad{x} in \\spad{u} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}. For collections,{} \\axiom{count(\\spad{p},{}\\spad{u}) = reduce(+,{}[1 for \\spad{x} in \\spad{u} | \\spad{p}(\\spad{x})],{}0)}.")) (|every?| (((|Boolean|) (|Mapping| (|Boolean|) |#1|) $) "\\spad{every?(f,u)} tests if \\spad{p}(\\spad{x}) is \\spad{true} for all elements \\spad{x} of \\spad{u}. Note: for collections,{} \\axiom{every?(\\spad{p},{}\\spad{u}) = reduce(and,{}map(\\spad{f},{}\\spad{u}),{}\\spad{true},{}\\spad{false})}.")) (|any?| (((|Boolean|) (|Mapping| (|Boolean|) |#1|) $) "\\spad{any?(p,u)} tests if \\axiom{\\spad{p}(\\spad{x})} is \\spad{true} for any element \\spad{x} of \\spad{u}. Note: for collections,{} \\axiom{any?(\\spad{p},{}\\spad{u}) = reduce(or,{}map(\\spad{f},{}\\spad{u}),{}\\spad{false},{}\\spad{true})}.")) (|map!| (($ (|Mapping| |#1| |#1|) $) "\\spad{map!(f,u)} destructively replaces each element \\spad{x} of \\spad{u} by \\axiom{\\spad{f}(\\spad{x})}.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,u)} returns a copy of \\spad{u} with each element \\spad{x} replaced by \\spad{f}(\\spad{x}). For collections,{} \\axiom{map(\\spad{f},{}\\spad{u}) = [\\spad{f}(\\spad{x}) for \\spad{x} in \\spad{u}]}."))) 
 NIL 
@@ -1952,33 +1952,33 @@ NIL
 ((|constructor| (NIL "Category for the hyperbolic trigonometric functions.")) (|tanh| (($ $) "\\spad{tanh(x)} returns the hyperbolic tangent of \\spad{x}.")) (|sinh| (($ $) "\\spad{sinh(x)} returns the hyperbolic sine of \\spad{x}.")) (|sech| (($ $) "\\spad{sech(x)} returns the hyperbolic secant of \\spad{x}.")) (|csch| (($ $) "\\spad{csch(x)} returns the hyperbolic cosecant of \\spad{x}.")) (|coth| (($ $) "\\spad{coth(x)} returns the hyperbolic cotangent of \\spad{x}.")) (|cosh| (($ $) "\\spad{cosh(x)} returns the hyperbolic cosine of \\spad{x}."))) 
 NIL 
 NIL 
-(-506 -1959 UP |AlExt| |AlPol|) 
+(-506 -1962 UP |AlExt| |AlPol|) 
 ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in an algebraic extension of a field over which we can factor UP\\spad{'s}.")) (|factor| (((|Factored| |#4|) |#4| (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{factor(p, f)} returns a prime factorisation of \\spad{p}; \\spad{f} is a factorisation map for elements of UP."))) 
 NIL 
 NIL 
 (-507) 
 ((|constructor| (NIL "Algebraic closure of the rational numbers.")) (|norm| (($ $ (|List| (|Kernel| $))) "\\spad{norm(f,l)} computes the norm of the algebraic number \\spad{f} with respect to the extension generated by kernels \\spad{l}") (($ $ (|Kernel| $)) "\\spad{norm(f,k)} computes the norm of the algebraic number \\spad{f} with respect to the extension generated by kernel \\spad{k}") (((|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $) (|List| (|Kernel| $))) "\\spad{norm(p,l)} computes the norm of the polynomial \\spad{p} with respect to the extension generated by kernels \\spad{l}") (((|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $) (|Kernel| $)) "\\spad{norm(p,k)} computes the norm of the polynomial \\spad{p} with respect to the extension generated by kernel \\spad{k}")) (|trueEqual| (((|Boolean|) $ $) "\\spad{trueEqual(x,y)} tries to determine if the two numbers are equal")) (|reduce| (($ $) "\\spad{reduce(f)} simplifies all the unreduced algebraic numbers present in \\spad{f} by applying their defining relations.")) (|denom| (((|SparseMultivariatePolynomial| (|Integer|) (|Kernel| $)) $) "\\spad{denom(f)} returns the denominator of \\spad{f} viewed as a polynomial in the kernels over \\spad{Z}.")) (|numer| (((|SparseMultivariatePolynomial| (|Integer|) (|Kernel| $)) $) "\\spad{numer(f)} returns the numerator of \\spad{f} viewed as a polynomial in the kernels over \\spad{Z}.")) (|coerce| (($ (|SparseMultivariatePolynomial| (|Integer|) (|Kernel| $))) "\\spad{coerce(p)} returns \\spad{p} viewed as an algebraic number."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 ((|HasCategory| $ (QUOTE (-1070))) (|HasCategory| $ (LIST (QUOTE -1059) (QUOTE (-576))))) 
 (-508 S |mn|) 
 ((|constructor| (NIL "\\indented{1}{Author Micheal Monagan Aug/87} This is the basic one dimensional array data type."))) 
-((-4465 . T) (-4464 . T)) 
-((-2758 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2758 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-4466 . T) (-4465 . T)) 
+((-2760 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2760 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
 (-509 R |mnRow| |mnCol|) 
 ((|constructor| (NIL "\\indented{1}{An IndexedTwoDimensionalArray is a 2-dimensional array where} the minimal row and column indices are parameters of the type. Rows and columns are returned as IndexedOneDimensionalArray\\spad{'s} with minimal indices matching those of the IndexedTwoDimensionalArray. The index of the 'first' row may be obtained by calling the function 'minRowIndex'. The index of the 'first' column may be obtained by calling the function 'minColIndex'. The index of the first element of a 'Row' is the same as the index of the first column in an array and vice versa."))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
 (-510 K R UP) 
 ((|constructor| (NIL "\\indented{1}{Author: Clifton Williamson} Date Created: 9 August 1993 Date Last Updated: 3 December 1993 Basic Operations: chineseRemainder,{} factorList Related Domains: PAdicWildFunctionFieldIntegralBasis(\\spad{K},{}\\spad{R},{}UP,{}\\spad{F}) Also See: WildFunctionFieldIntegralBasis,{} FunctionFieldIntegralBasis AMS Classifications: Keywords: function field,{} finite field,{} integral basis Examples: References: Description:")) (|chineseRemainder| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) (|List| |#3|) (|List| (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) (|NonNegativeInteger|)) "\\spad{chineseRemainder(lu,lr,n)} \\undocumented")) (|listConjugateBases| (((|List| (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{listConjugateBases(bas,q,n)} returns the list \\spad{[bas,bas^Frob,bas^(Frob^2),...bas^(Frob^(n-1))]},{} where \\spad{Frob} raises the coefficients of all polynomials appearing in the basis \\spad{bas} to the \\spad{q}th power.")) (|factorList| (((|List| (|SparseUnivariatePolynomial| |#1|)) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factorList(k,n,m,j)} \\undocumented"))) 
 NIL 
 NIL 
-(-511 R UP -1959) 
+(-511 R UP -1962) 
 ((|constructor| (NIL "This package contains functions used in the packages FunctionFieldIntegralBasis and NumberFieldIntegralBasis.")) (|moduleSum| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) (|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) (|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|)))) "\\spad{moduleSum(m1,m2)} returns the sum of two modules in the framed algebra \\spad{F}. Each module \\spad{mi} is represented as follows: \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn} and \\spad{mi} is a record \\spad{[basis,basisDen,basisInv]}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then a basis \\spad{v1,...,vn} for \\spad{mi} is given by \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|idealiserMatrix| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{idealiserMatrix(m1, m2)} returns the matrix representing the linear conditions on the Ring associatied with an ideal defined by \\spad{m1} and \\spad{m2}.")) (|idealiser| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{idealiser(m1,m2,d)} computes the order of an ideal defined by \\spad{m1} and \\spad{m2} where \\spad{d} is the known part of the denominator") (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{idealiser(m1,m2)} computes the order of an ideal defined by \\spad{m1} and \\spad{m2}")) (|leastPower| (((|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{leastPower(p,n)} returns \\spad{e},{} where \\spad{e} is the smallest integer such that \\spad{p **e >= n}")) (|divideIfCan!| ((|#1| (|Matrix| |#1|) (|Matrix| |#1|) |#1| (|Integer|)) "\\spad{divideIfCan!(matrix,matrixOut,prime,n)} attempts to divide the entries of \\spad{matrix} by \\spad{prime} and store the result in \\spad{matrixOut}. If it is successful,{} 1 is returned and if not,{} \\spad{prime} is returned. Here both \\spad{matrix} and \\spad{matrixOut} are \\spad{n}-by-\\spad{n} upper triangular matrices.")) (|matrixGcd| ((|#1| (|Matrix| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{matrixGcd(mat,sing,n)} is \\spad{gcd(sing,g)} where \\spad{g} is the \\spad{gcd} of the entries of the \\spad{n}-by-\\spad{n} upper-triangular matrix \\spad{mat}.")) (|diagonalProduct| ((|#1| (|Matrix| |#1|)) "\\spad{diagonalProduct(m)} returns the product of the elements on the diagonal of the matrix \\spad{m}")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}"))) 
 NIL 
 NIL 
 (-512 |mn|) 
 ((|constructor| (NIL "\\spadtype{IndexedBits} is a domain to compactly represent large quantities of Boolean data.")) (|And| (($ $ $) "\\spad{And(n,m)} returns the bit-by-bit logical {\\em And} of \\spad{n} and \\spad{m}.")) (|Or| (($ $ $) "\\spad{Or(n,m)} returns the bit-by-bit logical {\\em Or} of \\spad{n} and \\spad{m}.")) (|Not| (($ $) "\\spad{Not(n)} returns the bit-by-bit logical {\\em Not} of \\spad{n}."))) 
-((-4465 . T) (-4464 . T)) 
+((-4466 . T) (-4465 . T)) 
 ((-12 (|HasCategory| (-112) (QUOTE (-1121))) (|HasCategory| (-112) (LIST (QUOTE -319) (QUOTE (-112))))) (|HasCategory| (-112) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-112) (QUOTE (-861))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| (-112) (QUOTE (-1121))) (|HasCategory| (-112) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-112) (QUOTE (-102)))) 
 (-513 K R UP L) 
 ((|constructor| (NIL "IntegralBasisPolynomialTools provides functions for \\indented{1}{mapping functions on the coefficients of univariate and bivariate} \\indented{1}{polynomials.}")) (|mapBivariate| (((|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#4|)) (|Mapping| |#4| |#1|) |#3|) "\\spad{mapBivariate(f,p(x,y))} applies the function \\spad{f} to the coefficients of \\spad{p(x,y)}.")) (|mapMatrixIfCan| (((|Union| (|Matrix| |#2|) "failed") (|Mapping| (|Union| |#1| "failed") |#4|) (|Matrix| (|SparseUnivariatePolynomial| |#4|))) "\\spad{mapMatrixIfCan(f,mat)} applies the function \\spad{f} to the coefficients of the entries of \\spad{mat} if possible,{} and returns \\spad{\"failed\"} otherwise.")) (|mapUnivariateIfCan| (((|Union| |#2| "failed") (|Mapping| (|Union| |#1| "failed") |#4|) (|SparseUnivariatePolynomial| |#4|)) "\\spad{mapUnivariateIfCan(f,p(x))} applies the function \\spad{f} to the coefficients of \\spad{p(x)},{} if possible,{} and returns \\spad{\"failed\"} otherwise.")) (|mapUnivariate| (((|SparseUnivariatePolynomial| |#4|) (|Mapping| |#4| |#1|) |#2|) "\\spad{mapUnivariate(f,p(x))} applies the function \\spad{f} to the coefficients of \\spad{p(x)}.") ((|#2| (|Mapping| |#1| |#4|) (|SparseUnivariatePolynomial| |#4|)) "\\spad{mapUnivariate(f,p(x))} applies the function \\spad{f} to the coefficients of \\spad{p(x)}."))) 
@@ -1992,7 +1992,7 @@ NIL
 ((|constructor| (NIL "InnerCommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#4|) "\\spad{splitDenominator([q1,...,qn])} returns \\spad{[[p1,...,pn], d]} such that \\spad{qi = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|clearDenominator| ((|#3| |#4|) "\\spad{clearDenominator([q1,...,qn])} returns \\spad{[p1,...,pn]} such that \\spad{qi = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|commonDenominator| ((|#1| |#4|) "\\spad{commonDenominator([q1,...,qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}\\spad{qn}."))) 
 NIL 
 NIL 
-(-516 -1959 |Expon| |VarSet| |DPoly|) 
+(-516 -1962 |Expon| |VarSet| |DPoly|) 
 ((|constructor| (NIL "This domain represents polynomial ideals with coefficients in any field and supports the basic ideal operations,{} including intersection sum and quotient. An ideal is represented by a list of polynomials (the generators of the ideal) and a boolean that is \\spad{true} if the generators are a Groebner basis. The algorithms used are based on Groebner basis computations. The ordering is determined by the datatype of the input polynomials. Users may use refinements of total degree orderings.")) (|relationsIdeal| (((|SuchThat| (|List| (|Polynomial| |#1|)) (|List| (|Equation| (|Polynomial| |#1|)))) (|List| |#4|)) "\\spad{relationsIdeal(polyList)} returns the ideal of relations among the polynomials in \\spad{polyList}.")) (|saturate| (($ $ |#4| (|List| |#3|)) "\\spad{saturate(I,f,lvar)} is the saturation with respect to the prime principal ideal which is generated by \\spad{f} in the polynomial ring \\spad{F[lvar]}.") (($ $ |#4|) "\\spad{saturate(I,f)} is the saturation of the ideal \\spad{I} with respect to the multiplicative set generated by the polynomial \\spad{f}.")) (|coerce| (($ (|List| |#4|)) "\\spad{coerce(polyList)} converts the list of polynomials \\spad{polyList} to an ideal.")) (|generators| (((|List| |#4|) $) "\\spad{generators(I)} returns a list of generators for the ideal \\spad{I}.")) (|groebner?| (((|Boolean|) $) "\\spad{groebner?(I)} tests if the generators of the ideal \\spad{I} are a Groebner basis.")) (|groebnerIdeal| (($ (|List| |#4|)) "\\spad{groebnerIdeal(polyList)} constructs the ideal generated by the list of polynomials \\spad{polyList} which are assumed to be a Groebner basis. Note: this operation avoids a Groebner basis computation.")) (|ideal| (($ (|List| |#4|)) "\\spad{ideal(polyList)} constructs the ideal generated by the list of polynomials \\spad{polyList}.")) (|leadingIdeal| (($ $) "\\spad{leadingIdeal(I)} is the ideal generated by the leading terms of the elements of the ideal \\spad{I}.")) (|dimension| (((|Integer|) $) "\\spad{dimension(I)} gives the dimension of the ideal \\spad{I}. in the ring \\spad{F[lvar]},{} where lvar are the variables appearing in \\spad{I}") (((|Integer|) $ (|List| |#3|)) "\\spad{dimension(I,lvar)} gives the dimension of the ideal \\spad{I},{} in the ring \\spad{F[lvar]}")) (|backOldPos| (($ (|Record| (|:| |mval| (|Matrix| |#1|)) (|:| |invmval| (|Matrix| |#1|)) (|:| |genIdeal| $))) "\\spad{backOldPos(genPos)} takes the result produced by \\spadfunFrom{generalPosition}{PolynomialIdeals} and performs the inverse transformation,{} returning the original ideal \\spad{backOldPos(generalPosition(I,listvar))} = \\spad{I}.")) (|generalPosition| (((|Record| (|:| |mval| (|Matrix| |#1|)) (|:| |invmval| (|Matrix| |#1|)) (|:| |genIdeal| $)) $ (|List| |#3|)) "\\spad{generalPosition(I,listvar)} perform a random linear transformation on the variables in \\spad{listvar} and returns the transformed ideal along with the change of basis matrix.")) (|groebner| (($ $) "\\spad{groebner(I)} returns a set of generators of \\spad{I} that are a Groebner basis for \\spad{I}.")) (|quotient| (($ $ |#4|) "\\spad{quotient(I,f)} computes the quotient of the ideal \\spad{I} by the principal ideal generated by the polynomial \\spad{f},{} \\spad{(I:(f))}.") (($ $ $) "\\spad{quotient(I,J)} computes the quotient of the ideals \\spad{I} and \\spad{J},{} \\spad{(I:J)}.")) (|intersect| (($ (|List| $)) "\\spad{intersect(LI)} computes the intersection of the list of ideals \\spad{LI}.") (($ $ $) "\\spad{intersect(I,J)} computes the intersection of the ideals \\spad{I} and \\spad{J}.")) (|zeroDim?| (((|Boolean|) $) "\\spad{zeroDim?(I)} tests if the ideal \\spad{I} is zero dimensional,{} \\spadignore{i.e.} all its associated primes are maximal,{} in the ring \\spad{F[lvar]},{} where lvar are the variables appearing in \\spad{I}") (((|Boolean|) $ (|List| |#3|)) "\\spad{zeroDim?(I,lvar)} tests if the ideal \\spad{I} is zero dimensional,{} \\spadignore{i.e.} all its associated primes are maximal,{} in the ring \\spad{F[lvar]}")) (|inRadical?| (((|Boolean|) |#4| $) "\\spad{inRadical?(f,I)} tests if some power of the polynomial \\spad{f} belongs to the ideal \\spad{I}.")) (|in?| (((|Boolean|) $ $) "\\spad{in?(I,J)} tests if the ideal \\spad{I} is contained in the ideal \\spad{J}.")) (|element?| (((|Boolean|) |#4| $) "\\spad{element?(f,I)} tests whether the polynomial \\spad{f} belongs to the ideal \\spad{I}.")) (|zero?| (((|Boolean|) $) "\\spad{zero?(I)} tests whether the ideal \\spad{I} is the zero ideal")) (|one?| (((|Boolean|) $) "\\spad{one?(I)} tests whether the ideal \\spad{I} is the unit ideal,{} \\spadignore{i.e.} contains 1.")) (+ (($ $ $) "\\spad{I+J} computes the ideal generated by the union of \\spad{I} and \\spad{J}.")) (** (($ $ (|NonNegativeInteger|)) "\\spad{I**n} computes the \\spad{n}th power of the ideal \\spad{I}.")) (* (($ $ $) "\\spad{I*J} computes the product of the ideal \\spad{I} and \\spad{J}."))) 
 NIL 
 ((|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-1197))))) 
@@ -2009,7 +2009,7 @@ NIL
 NIL 
 NIL 
 (-520 A S) 
-((|constructor| (NIL "\\indented{1}{Indexed direct products of abelian monoids over an abelian monoid \\spad{A} of} generators indexed by the ordered set \\spad{S}. All items have finite support. Only non-zero terms are stored."))) 
+((|constructor| (NIL "\\indented{1}{Indexed direct products of abelian monoids over an abelian monoid \\spad{A} of} generators indexed by the ordered set \\spad{S}. All items have finite support. Only non-zero terms are stored.")) (|construct| (($ (|List| (|Pair| |#1| |#2|))) "\\spad{l} returns an IndexedDirectProductAbelianMonoid object with support and value as specified in the list of pairs \\spad{l}."))) 
 NIL 
 NIL 
 (-521 A S) 
@@ -2025,7 +2025,7 @@ NIL
 NIL 
 NIL 
 (-524 A S) 
-((|constructor| (NIL "Indexed direct products of objects over a set \\spad{A} of generators indexed by an ordered set \\spad{S}. All items have finite support."))) 
+((|constructor| (NIL "Indexed direct products of objects over a set \\spad{A} of generators indexed by an ordered set \\spad{S}. All items have finite support.")) (|indexedDirectProductObject| (($ (|List| (|Pair| |#2| |#1|))) "\\spad{indexedDirectProductObject l} constructs an indexed direct product object with support-value pairs given in \\spad{l}."))) 
 NIL 
 NIL 
 (-525 S A B) 
@@ -2042,36 +2042,36 @@ NIL
 ((|HasCategory| |#2| (QUOTE (-804)))) 
 (-528 S |mn|) 
 ((|constructor| (NIL "\\indented{1}{Author: Michael Monagan July/87,{} modified \\spad{SMW} June/91} A FlexibleArray is the notion of an array intended to allow for growth at the end only. Hence the following efficient operations \\indented{2}{\\spad{append(x,a)} meaning append item \\spad{x} at the end of the array \\spad{a}} \\indented{2}{\\spad{delete(a,n)} meaning delete the last item from the array \\spad{a}} Flexible arrays support the other operations inherited from \\spadtype{ExtensibleLinearAggregate}. However,{} these are not efficient. Flexible arrays combine the \\spad{O(1)} access time property of arrays with growing and shrinking at the end in \\spad{O(1)} (average) time. This is done by using an ordinary array which may have zero or more empty slots at the end. When the array becomes full it is copied into a new larger (50\\% larger) array. Conversely,{} when the array becomes less than 1/2 full,{} it is copied into a smaller array. Flexible arrays provide for an efficient implementation of many data structures in particular heaps,{} stacks and sets.")) (|shrinkable| (((|Boolean|) (|Boolean|)) "\\spad{shrinkable(b)} sets the shrinkable attribute of flexible arrays to \\spad{b} and returns the previous value")) (|physicalLength!| (($ $ (|Integer|)) "\\spad{physicalLength!(x,n)} changes the physical length of \\spad{x} to be \\spad{n} and returns the new array.")) (|physicalLength| (((|NonNegativeInteger|) $) "\\spad{physicalLength(x)} returns the number of elements \\spad{x} can accomodate before growing")) (|flexibleArray| (($ (|List| |#1|)) "\\spad{flexibleArray(l)} creates a flexible array from the list of elements \\spad{l}"))) 
-((-4465 . T) (-4464 . T)) 
-((-2758 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2758 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-4466 . T) (-4465 . T)) 
+((-2760 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2760 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
 (-529) 
 ((|constructor| (NIL "This domain represents AST for conditional expressions.")) (|elseBranch| (((|SpadAst|) $) "thenBranch(\\spad{e}) returns the `else-branch' of `e'.")) (|thenBranch| (((|SpadAst|) $) "\\spad{thenBranch(e)} returns the `then-branch' of `e'.")) (|condition| (((|SpadAst|) $) "\\spad{condition(e)} returns the condition of the if-expression `e'."))) 
 NIL 
 NIL 
 (-530 |p| |n|) 
 ((|constructor| (NIL "InnerFiniteField(\\spad{p},{}\\spad{n}) implements finite fields with \\spad{p**n} elements where \\spad{p} is assumed prime but does not check. For a version which checks that \\spad{p} is prime,{} see \\spadtype{FiniteField}."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((-2758 (|HasCategory| (-593 |#1|) (QUOTE (-146))) (|HasCategory| (-593 |#1|) (QUOTE (-379)))) (|HasCategory| (-593 |#1|) (QUOTE (-148))) (|HasCategory| (-593 |#1|) (QUOTE (-379))) (|HasCategory| (-593 |#1|) (QUOTE (-146)))) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((-2760 (|HasCategory| (-593 |#1|) (QUOTE (-146))) (|HasCategory| (-593 |#1|) (QUOTE (-379)))) (|HasCategory| (-593 |#1|) (QUOTE (-148))) (|HasCategory| (-593 |#1|) (QUOTE (-379))) (|HasCategory| (-593 |#1|) (QUOTE (-146)))) 
 (-531 R |mnRow| |mnCol| |Row| |Col|) 
 ((|constructor| (NIL "\\indented{1}{This is an internal type which provides an implementation of} 2-dimensional arrays as PrimitiveArray\\spad{'s} of PrimitiveArray\\spad{'s}."))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
 (-532 S |mn|) 
 ((|constructor| (NIL "\\spadtype{IndexedList} is a basic implementation of the functions in \\spadtype{ListAggregate},{} often using functions in the underlying LISP system. The second parameter to the constructor (\\spad{mn}) is the beginning index of the list. That is,{} if \\spad{l} is a list,{} then \\spad{elt(l,mn)} is the first value. This constructor is probably best viewed as the implementation of singly-linked lists that are addressable by index rather than as a mere wrapper for LISP lists."))) 
-((-4465 . T) (-4464 . T)) 
-((-2758 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2758 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-4466 . T) (-4465 . T)) 
+((-2760 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2760 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
 (-533 R |Row| |Col| M) 
 ((|constructor| (NIL "\\spadtype{InnerMatrixLinearAlgebraFunctions} is an internal package which provides standard linear algebra functions on domains in \\spad{MatrixCategory}")) (|inverse| (((|Union| |#4| "failed") |#4|) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|generalizedInverse| ((|#4| |#4|) "\\spad{generalizedInverse(m)} returns the generalized (Moore--Penrose) inverse of the matrix \\spad{m},{} \\spadignore{i.e.} the matrix \\spad{h} such that m*h*m=h,{} h*m*h=m,{} \\spad{m*h} and \\spad{h*m} are both symmetric matrices.")) (|determinant| ((|#1| |#4|) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}. an error message is returned if the matrix is not square.")) (|nullSpace| (((|List| |#3|) |#4|) "\\spad{nullSpace(m)} returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) |#4|) "\\spad{nullity(m)} returns the mullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) |#4|) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| ((|#4| |#4|) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}."))) 
 NIL 
-((|HasAttribute| |#3| (QUOTE -4465))) 
+((|HasAttribute| |#3| (QUOTE -4466))) 
 (-534 R |Row| |Col| M QF |Row2| |Col2| M2) 
 ((|constructor| (NIL "\\spadtype{InnerMatrixQuotientFieldFunctions} provides functions on matrices over an integral domain which involve the quotient field of that integral domain. The functions rowEchelon and inverse return matrices with entries in the quotient field.")) (|nullSpace| (((|List| |#3|) |#4|) "\\spad{nullSpace(m)} returns a basis for the null space of the matrix \\spad{m}.")) (|inverse| (((|Union| |#8| "failed") |#4|) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square. Note: the result will have entries in the quotient field.")) (|rowEchelon| ((|#8| |#4|) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}. the result will have entries in the quotient field."))) 
 NIL 
-((|HasAttribute| |#7| (QUOTE -4465))) 
+((|HasAttribute| |#7| (QUOTE -4466))) 
 (-535 R |mnRow| |mnCol|) 
 ((|constructor| (NIL "An \\spad{IndexedMatrix} is a matrix where the minimal row and column indices are parameters of the type. The domains Row and Col are both IndexedVectors. The index of the 'first' row may be obtained by calling the function \\spadfun{minRowIndex}. The index of the 'first' column may be obtained by calling the function \\spadfun{minColIndex}. The index of the first element of a 'Row' is the same as the index of the first column in a matrix and vice versa."))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4466 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4467 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
 (-536) 
 ((|constructor| (NIL "This domain represents an `import' of types.")) (|imports| (((|List| (|TypeAst|)) $) "\\spad{imports(x)} returns the list of imported types.")) (|coerce| (($ (|List| (|TypeAst|))) "ts::ImportAst constructs an ImportAst for the list if types `ts'."))) 
 NIL 
@@ -2104,7 +2104,7 @@ NIL
 ((|constructor| (NIL "\\indented{2}{IndexedExponents of an ordered set of variables gives a representation} for the degree of polynomials in commuting variables. It gives an ordered pairing of non negative integer exponents with variables"))) 
 NIL 
 NIL 
-(-544 K -1959 |Par|) 
+(-544 K -1962 |Par|) 
 ((|constructor| (NIL "This package is the inner package to be used by NumericRealEigenPackage and NumericComplexEigenPackage for the computation of numeric eigenvalues and eigenvectors.")) (|innerEigenvectors| (((|List| (|Record| (|:| |outval| |#2|) (|:| |outmult| (|Integer|)) (|:| |outvect| (|List| (|Matrix| |#2|))))) (|Matrix| |#1|) |#3| (|Mapping| (|Factored| (|SparseUnivariatePolynomial| |#1|)) (|SparseUnivariatePolynomial| |#1|))) "\\spad{innerEigenvectors(m,eps,factor)} computes explicitly the eigenvalues and the correspondent eigenvectors of the matrix \\spad{m}. The parameter \\spad{eps} determines the type of the output,{} \\spad{factor} is the univariate factorizer to \\spad{br} used to reduce the characteristic polynomial into irreducible factors.")) (|solve1| (((|List| |#2|) (|SparseUnivariatePolynomial| |#1|) |#3|) "\\spad{solve1(pol, eps)} finds the roots of the univariate polynomial polynomial \\spad{pol} to precision eps. If \\spad{K} is \\spad{Fraction Integer} then only the real roots are returned,{} if \\spad{K} is \\spad{Complex Fraction Integer} then all roots are found.")) (|charpol| (((|SparseUnivariatePolynomial| |#1|) (|Matrix| |#1|)) "\\spad{charpol(m)} computes the characteristic polynomial of a matrix \\spad{m} with entries in \\spad{K}. This function returns a polynomial over \\spad{K},{} while the general one (that is in EiegenPackage) returns Fraction \\spad{P} \\spad{K}"))) 
 NIL 
 NIL 
@@ -2128,7 +2128,7 @@ NIL
 ((|constructor| (NIL "This package computes infinite products of univariate Taylor series over an integral domain of characteristic 0.")) (|generalInfiniteProduct| ((|#2| |#2| (|Integer|) (|Integer|)) "\\spad{generalInfiniteProduct(f(x),a,d)} computes \\spad{product(n=a,a+d,a+2*d,...,f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|oddInfiniteProduct| ((|#2| |#2|) "\\spad{oddInfiniteProduct(f(x))} computes \\spad{product(n=1,3,5...,f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|evenInfiniteProduct| ((|#2| |#2|) "\\spad{evenInfiniteProduct(f(x))} computes \\spad{product(n=2,4,6...,f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|infiniteProduct| ((|#2| |#2|) "\\spad{infiniteProduct(f(x))} computes \\spad{product(n=1,2,3...,f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1."))) 
 NIL 
 NIL 
-(-550 K -1959 |Par|) 
+(-550 K -1962 |Par|) 
 ((|constructor| (NIL "This is an internal package for computing approximate solutions to systems of polynomial equations. The parameter \\spad{K} specifies the coefficient field of the input polynomials and must be either \\spad{Fraction(Integer)} or \\spad{Complex(Fraction Integer)}. The parameter \\spad{F} specifies where the solutions must lie and can be one of the following: \\spad{Float},{} \\spad{Fraction(Integer)},{} \\spad{Complex(Float)},{} \\spad{Complex(Fraction Integer)}. The last parameter specifies the type of the precision operand and must be either \\spad{Fraction(Integer)} or \\spad{Float}.")) (|makeEq| (((|List| (|Equation| (|Polynomial| |#2|))) (|List| |#2|) (|List| (|Symbol|))) "\\spad{makeEq(lsol,lvar)} returns a list of equations formed by corresponding members of \\spad{lvar} and \\spad{lsol}.")) (|innerSolve| (((|List| (|List| |#2|)) (|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|)) |#3|) "\\spad{innerSolve(lnum,lden,lvar,eps)} returns a list of solutions of the system of polynomials \\spad{lnum},{} with the side condition that none of the members of \\spad{lden} vanish identically on any solution. Each solution is expressed as a list corresponding to the list of variables in \\spad{lvar} and with precision specified by \\spad{eps}.")) (|innerSolve1| (((|List| |#2|) (|Polynomial| |#1|) |#3|) "\\spad{innerSolve1(p,eps)} returns the list of the zeros of the polynomial \\spad{p} with precision \\spad{eps}.") (((|List| |#2|) (|SparseUnivariatePolynomial| |#1|) |#3|) "\\spad{innerSolve1(up,eps)} returns the list of the zeros of the univariate polynomial \\spad{up} with precision \\spad{eps}."))) 
 NIL 
 NIL 
@@ -2158,7 +2158,7 @@ NIL
 NIL 
 (-557) 
 ((|constructor| (NIL "An \\spad{IntegerNumberSystem} is a model for the integers.")) (|invmod| (($ $ $) "\\spad{invmod(a,b)},{} \\spad{0<=a<b>1},{} \\spad{(a,b)=1} means \\spad{1/a mod b}.")) (|powmod| (($ $ $ $) "\\spad{powmod(a,b,p)},{} \\spad{0<=a,b<p>1},{} means \\spad{a**b mod p}.")) (|mulmod| (($ $ $ $) "\\spad{mulmod(a,b,p)},{} \\spad{0<=a,b<p>1},{} means \\spad{a*b mod p}.")) (|submod| (($ $ $ $) "\\spad{submod(a,b,p)},{} \\spad{0<=a,b<p>1},{} means \\spad{a-b mod p}.")) (|addmod| (($ $ $ $) "\\spad{addmod(a,b,p)},{} \\spad{0<=a,b<p>1},{} means \\spad{a+b mod p}.")) (|mask| (($ $) "\\spad{mask(n)} returns \\spad{2**n-1} (an \\spad{n} bit mask).")) (|dec| (($ $) "\\spad{dec(x)} returns \\spad{x - 1}.")) (|inc| (($ $) "\\spad{inc(x)} returns \\spad{x + 1}.")) (|copy| (($ $) "\\spad{copy(n)} gives a copy of \\spad{n}.")) (|random| (($ $) "\\spad{random(a)} creates a random element from 0 to \\spad{a-1}.") (($) "\\spad{random()} creates a random element.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(n)} creates a rational number,{} or returns \"failed\" if this is not possible.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(n)} creates a rational number (see \\spadtype{Fraction Integer})..")) (|rational?| (((|Boolean|) $) "\\spad{rational?(n)} tests if \\spad{n} is a rational number (see \\spadtype{Fraction Integer}).")) (|symmetricRemainder| (($ $ $) "\\spad{symmetricRemainder(a,b)} (where \\spad{b > 1}) yields \\spad{r} where \\spad{ -b/2 <= r < b/2 }.")) (|positiveRemainder| (($ $ $) "\\spad{positiveRemainder(a,b)} (where \\spad{b > 1}) yields \\spad{r} where \\spad{0 <= r < b} and \\spad{r == a rem b}.")) (|bit?| (((|Boolean|) $ $) "\\spad{bit?(n,i)} returns \\spad{true} if and only if \\spad{i}-th bit of \\spad{n} is a 1.")) (|shift| (($ $ $) "\\spad{shift(a,i)} shift \\spad{a} by \\spad{i} digits.")) (|length| (($ $) "\\spad{length(a)} length of \\spad{a} in digits.")) (|base| (($) "\\spad{base()} returns the base for the operations of \\spad{IntegerNumberSystem}.")) (|multiplicativeValuation| ((|attribute|) "euclideanSize(a*b) returns \\spad{euclideanSize(a)*euclideanSize(b)}.")) (|even?| (((|Boolean|) $) "\\spad{even?(n)} returns \\spad{true} if and only if \\spad{n} is even.")) (|odd?| (((|Boolean|) $) "\\spad{odd?(n)} returns \\spad{true} if and only if \\spad{n} is odd."))) 
-((-4462 . T) (-4463 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4463 . T) (-4464 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-558) 
 ((|constructor| (NIL "This domain is a datatype for (signed) integer values of precision 16 bits."))) 
@@ -2178,13 +2178,13 @@ NIL
 NIL 
 (-562 |Key| |Entry| |addDom|) 
 ((|constructor| (NIL "This domain is used to provide a conditional \"add\" domain for the implementation of \\spadtype{Table}."))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4300) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4438) (|devaluate| |#2|)))))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-1121))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-102)))) 
-(-563 R -1959) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4301) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4440) (|devaluate| |#2|)))))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-1121))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102)))) 
+(-563 R -1962) 
 ((|constructor| (NIL "This package provides functions for the integration of algebraic integrands over transcendental functions.")) (|algint| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|SparseUnivariatePolynomial| |#2|) (|SparseUnivariatePolynomial| |#2|))) "\\spad{algint(f, x, y, d)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x}; \\spad{d} is the derivation to use on \\spad{k[x]}."))) 
 NIL 
 NIL 
-(-564 R0 -1959 UP UPUP R) 
+(-564 R0 -1962 UP UPUP R) 
 ((|constructor| (NIL "This package provides functions for integrating a function on an algebraic curve.")) (|palginfieldint| (((|Union| |#5| "failed") |#5| (|Mapping| |#3| |#3|)) "\\spad{palginfieldint(f, d)} returns an algebraic function \\spad{g} such that \\spad{dg = f} if such a \\spad{g} exists,{} \"failed\" otherwise. Argument \\spad{f} must be a pure algebraic function.")) (|palgintegrate| (((|IntegrationResult| |#5|) |#5| (|Mapping| |#3| |#3|)) "\\spad{palgintegrate(f, d)} integrates \\spad{f} with respect to the derivation \\spad{d}. Argument \\spad{f} must be a pure algebraic function.")) (|algintegrate| (((|IntegrationResult| |#5|) |#5| (|Mapping| |#3| |#3|)) "\\spad{algintegrate(f, d)} integrates \\spad{f} with respect to the derivation \\spad{d}."))) 
 NIL 
 NIL 
@@ -2194,7 +2194,7 @@ NIL
 NIL 
 (-566 R) 
 ((|constructor| (NIL "\\indented{1}{+ Author: Mike Dewar} + Date Created: November 1996 + Date Last Updated: + Basic Functions: + Related Constructors: + Also See: + AMS Classifications: + Keywords: + References: + Description: + This category implements of interval arithmetic and transcendental + functions over intervals.")) (|contains?| (((|Boolean|) $ |#1|) "\\spad{contains?(i,f)} returns \\spad{true} if \\axiom{\\spad{f}} is contained within the interval \\axiom{\\spad{i}},{} \\spad{false} otherwise.")) (|negative?| (((|Boolean|) $) "\\spad{negative?(u)} returns \\axiom{\\spad{true}} if every element of \\spad{u} is negative,{} \\axiom{\\spad{false}} otherwise.")) (|positive?| (((|Boolean|) $) "\\spad{positive?(u)} returns \\axiom{\\spad{true}} if every element of \\spad{u} is positive,{} \\axiom{\\spad{false}} otherwise.")) (|width| ((|#1| $) "\\spad{width(u)} returns \\axiom{sup(\\spad{u}) - inf(\\spad{u})}.")) (|sup| ((|#1| $) "\\spad{sup(u)} returns the supremum of \\axiom{\\spad{u}}.")) (|inf| ((|#1| $) "\\spad{inf(u)} returns the infinum of \\axiom{\\spad{u}}.")) (|qinterval| (($ |#1| |#1|) "\\spad{qinterval(inf,sup)} creates a new interval \\axiom{[\\spad{inf},{}\\spad{sup}]},{} without checking the ordering on the elements.")) (|interval| (($ (|Fraction| (|Integer|))) "\\spad{interval(f)} creates a new interval around \\spad{f}.") (($ |#1|) "\\spad{interval(f)} creates a new interval around \\spad{f}.") (($ |#1| |#1|) "\\spad{interval(inf,sup)} creates a new interval,{} either \\axiom{[\\spad{inf},{}\\spad{sup}]} if \\axiom{\\spad{inf} \\spad{<=} \\spad{sup}} or \\axiom{[\\spad{sup},{}in]} otherwise."))) 
-((-4165 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4166 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-567 S) 
 ((|constructor| (NIL "The category of commutative integral domains,{} \\spadignore{i.e.} commutative rings with no zero divisors. \\blankline Conditional attributes: \\indented{2}{canonicalUnitNormal\\tab{20}the canonical field is the same for all associates} \\indented{2}{canonicalsClosed\\tab{20}the product of two canonicals is itself canonical}")) (|unit?| (((|Boolean|) $) "\\spad{unit?(x)} tests whether \\spad{x} is a unit,{} \\spadignore{i.e.} is invertible.")) (|associates?| (((|Boolean|) $ $) "\\spad{associates?(x,y)} tests whether \\spad{x} and \\spad{y} are associates,{} \\spadignore{i.e.} differ by a unit factor.")) (|unitCanonical| (($ $) "\\spad{unitCanonical(x)} returns \\spad{unitNormal(x).canonical}.")) (|unitNormal| (((|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $)) $) "\\spad{unitNormal(x)} tries to choose a canonical element from the associate class of \\spad{x}. The attribute canonicalUnitNormal,{} if asserted,{} means that the \"canonical\" element is the same across all associates of \\spad{x} if \\spad{unitNormal(x) = [u,c,a]} then \\spad{u*c = x},{} \\spad{a*u = 1}.")) (|exquo| (((|Union| $ "failed") $ $) "\\spad{exquo(a,b)} either returns an element \\spad{c} such that \\spad{c*b=a} or \"failed\" if no such element can be found."))) 
@@ -2202,9 +2202,9 @@ NIL
 NIL 
 (-568) 
 ((|constructor| (NIL "The category of commutative integral domains,{} \\spadignore{i.e.} commutative rings with no zero divisors. \\blankline Conditional attributes: \\indented{2}{canonicalUnitNormal\\tab{20}the canonical field is the same for all associates} \\indented{2}{canonicalsClosed\\tab{20}the product of two canonicals is itself canonical}")) (|unit?| (((|Boolean|) $) "\\spad{unit?(x)} tests whether \\spad{x} is a unit,{} \\spadignore{i.e.} is invertible.")) (|associates?| (((|Boolean|) $ $) "\\spad{associates?(x,y)} tests whether \\spad{x} and \\spad{y} are associates,{} \\spadignore{i.e.} differ by a unit factor.")) (|unitCanonical| (($ $) "\\spad{unitCanonical(x)} returns \\spad{unitNormal(x).canonical}.")) (|unitNormal| (((|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $)) $) "\\spad{unitNormal(x)} tries to choose a canonical element from the associate class of \\spad{x}. The attribute canonicalUnitNormal,{} if asserted,{} means that the \"canonical\" element is the same across all associates of \\spad{x} if \\spad{unitNormal(x) = [u,c,a]} then \\spad{u*c = x},{} \\spad{a*u = 1}.")) (|exquo| (((|Union| $ "failed") $ $) "\\spad{exquo(a,b)} either returns an element \\spad{c} such that \\spad{c*b=a} or \"failed\" if no such element can be found."))) 
-((-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
-(-569 R -1959) 
+(-569 R -1962) 
 ((|constructor| (NIL "This package provides functions for integration,{} limited integration,{} extended integration and the risch differential equation for elemntary functions.")) (|lfextlimint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Symbol|) (|Kernel| |#2|) (|List| (|Kernel| |#2|))) "\\spad{lfextlimint(f,x,k,[k1,...,kn])} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f - c dk/dx}. Value \\spad{h} is looked for in a field containing \\spad{f} and \\spad{k1},{}...,{}\\spad{kn} (the \\spad{ki}\\spad{'s} must be logs).")) (|lfintegrate| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{lfintegrate(f, x)} = \\spad{g} such that \\spad{dg/dx = f}.")) (|lfinfieldint| (((|Union| |#2| "failed") |#2| (|Symbol|)) "\\spad{lfinfieldint(f, x)} returns a function \\spad{g} such that \\spad{dg/dx = f} if \\spad{g} exists,{} \"failed\" otherwise.")) (|lflimitedint| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Symbol|) (|List| |#2|)) "\\spad{lflimitedint(f,x,[g1,...,gn])} returns functions \\spad{[h,[[ci, gi]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,...,gn]},{} and \\spad{d(h+sum(ci log(gi)))/dx = f},{} if possible,{} \"failed\" otherwise.")) (|lfextendedint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Symbol|) |#2|) "\\spad{lfextendedint(f, x, g)} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f - cg},{} if (\\spad{h},{} \\spad{c}) exist,{} \"failed\" otherwise."))) 
 NIL 
 NIL 
@@ -2216,7 +2216,7 @@ NIL
 ((|constructor| (NIL "\\blankline")) (|entry| (((|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{entry(n)} \\undocumented{}")) (|entries| (((|List| (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) $) "\\spad{entries(x)} \\undocumented{}")) (|showAttributes| (((|Union| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) "failed") (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{showAttributes(x)} \\undocumented{}")) (|insert!| (($ (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) "\\spad{insert!(r)} inserts an entry \\spad{r} into theIFTable")) (|fTable| (($ (|List| (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))))))) "\\spad{fTable(l)} creates a functions table from the elements of \\spad{l}.")) (|keys| (((|List| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) $) "\\spad{keys(f)} returns the list of keys of \\spad{f}")) (|clearTheFTable| (((|Void|)) "\\spad{clearTheFTable()} clears the current table of functions.")) (|showTheFTable| (($) "\\spad{showTheFTable()} returns the current table of functions."))) 
 NIL 
 NIL 
-(-572 R -1959 L) 
+(-572 R -1962 L) 
 ((|constructor| (NIL "This internal package rationalises integrands on curves of the form: \\indented{2}{\\spad{y\\^2 = a x\\^2 + b x + c}} \\indented{2}{\\spad{y\\^2 = (a x + b) / (c x + d)}} \\indented{2}{\\spad{f(x, y) = 0} where \\spad{f} has degree 1 in \\spad{x}} The rationalization is done for integration,{} limited integration,{} extended integration and the risch differential equation.")) (|palgLODE0| (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgLODE0(op,g,x,y,z,t,c)} returns the solution of \\spad{op f = g} Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}.") (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgLODE0(op, g, x, y, d, p)} returns the solution of \\spad{op f = g}. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}.")) (|lift| (((|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) (|SparseUnivariatePolynomial| |#2|) (|Kernel| |#2|)) "\\spad{lift(u,k)} \\undocumented")) (|multivariate| ((|#2| (|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) (|Kernel| |#2|) |#2|) "\\spad{multivariate(u,k,f)} \\undocumented")) (|univariate| (((|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|SparseUnivariatePolynomial| |#2|)) "\\spad{univariate(f,k,k,p)} \\undocumented")) (|palgRDE0| (((|Union| |#2| "failed") |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|)) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgRDE0(f, g, x, y, foo, t, c)} returns a function \\spad{z(x,y)} such that \\spad{dz/dx + n * df/dx z(x,y) = g(x,y)} if such a \\spad{z} exists,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{foo},{} called by \\spad{foo(a, b, x)},{} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}.") (((|Union| |#2| "failed") |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|)) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgRDE0(f, g, x, y, foo, d, p)} returns a function \\spad{z(x,y)} such that \\spad{dz/dx + n * df/dx z(x,y) = g(x,y)} if such a \\spad{z} exists,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}. Argument \\spad{foo},{} called by \\spad{foo(a, b, x)},{} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}.")) (|palglimint0| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palglimint0(f, x, y, [u1,...,un], z, t, c)} returns functions \\spad{[h,[[ci, ui]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,...,un]} and \\spad{d(h + sum(ci log(ui)))/dx = f(x,y)} if such functions exist,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}.") (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palglimint0(f, x, y, [u1,...,un], d, p)} returns functions \\spad{[h,[[ci, ui]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,...,un]} and \\spad{d(h + sum(ci log(ui)))/dx = f(x,y)} if such functions exist,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}.")) (|palgextint0| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgextint0(f, x, y, g, z, t, c)} returns functions \\spad{[h, d]} such that \\spad{dh/dx = f(x,y) - d g},{} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy},{} and \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{z} is a dummy variable not appearing in \\spad{f(x,y)}. The operation returns \"failed\" if no such functions exist.") (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgextint0(f, x, y, g, d, p)} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f(x,y) - c g},{} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2 y(x)\\^2 = P(x)},{} or \"failed\" if no such functions exist.")) (|palgint0| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgint0(f, x, y, z, t, c)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{z} is a dummy variable not appearing in \\spad{f(x,y)}.") (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgint0(f, x, y, d, p)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2 y(x)\\^2 = P(x)}."))) 
 NIL 
 ((|HasCategory| |#3| (LIST (QUOTE -668) (|devaluate| |#2|)))) 
@@ -2224,31 +2224,31 @@ NIL
 ((|constructor| (NIL "This package provides various number theoretic functions on the integers.")) (|sumOfKthPowerDivisors| (((|Integer|) (|Integer|) (|NonNegativeInteger|)) "\\spad{sumOfKthPowerDivisors(n,k)} returns the sum of the \\spad{k}th powers of the integers between 1 and \\spad{n} (inclusive) which divide \\spad{n}. the sum of the \\spad{k}th powers of the divisors of \\spad{n} is often denoted by \\spad{sigma_k(n)}.")) (|sumOfDivisors| (((|Integer|) (|Integer|)) "\\spad{sumOfDivisors(n)} returns the sum of the integers between 1 and \\spad{n} (inclusive) which divide \\spad{n}. The sum of the divisors of \\spad{n} is often denoted by \\spad{sigma(n)}.")) (|numberOfDivisors| (((|Integer|) (|Integer|)) "\\spad{numberOfDivisors(n)} returns the number of integers between 1 and \\spad{n} (inclusive) which divide \\spad{n}. The number of divisors of \\spad{n} is often denoted by \\spad{tau(n)}.")) (|moebiusMu| (((|Integer|) (|Integer|)) "\\spad{moebiusMu(n)} returns the Moebius function \\spad{mu(n)}. \\spad{mu(n)} is either \\spad{-1},{}0 or 1 as follows: \\spad{mu(n) = 0} if \\spad{n} is divisible by a square > 1,{} \\spad{mu(n) = (-1)^k} if \\spad{n} is square-free and has \\spad{k} distinct prime divisors.")) (|legendre| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{legendre(a,p)} returns the Legendre symbol \\spad{L(a/p)}. \\spad{L(a/p) = (-1)**((p-1)/2) mod p} (\\spad{p} prime),{} which is 0 if \\spad{a} is 0,{} 1 if \\spad{a} is a quadratic residue \\spad{mod p} and \\spad{-1} otherwise. Note: because the primality test is expensive,{} if it is known that \\spad{p} is prime then use \\spad{jacobi(a,p)}.")) (|jacobi| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{jacobi(a,b)} returns the Jacobi symbol \\spad{J(a/b)}. When \\spad{b} is odd,{} \\spad{J(a/b) = product(L(a/p) for p in factor b )}. Note: by convention,{} 0 is returned if \\spad{gcd(a,b) ~= 1}. Iterative \\spad{O(log(b)^2)} version coded by Michael Monagan June 1987.")) (|harmonic| (((|Fraction| (|Integer|)) (|Integer|)) "\\spad{harmonic(n)} returns the \\spad{n}th harmonic number. This is \\spad{H[n] = sum(1/k,k=1..n)}.")) (|fibonacci| (((|Integer|) (|Integer|)) "\\spad{fibonacci(n)} returns the \\spad{n}th Fibonacci number. the Fibonacci numbers \\spad{F[n]} are defined by \\spad{F[0] = F[1] = 1} and \\spad{F[n] = F[n-1] + F[n-2]}. The algorithm has running time \\spad{O(log(n)^3)}. Reference: Knuth,{} The Art of Computer Programming Vol 2,{} Semi-Numerical Algorithms.")) (|eulerPhi| (((|Integer|) (|Integer|)) "\\spad{eulerPhi(n)} returns the number of integers between 1 and \\spad{n} (including 1) which are relatively prime to \\spad{n}. This is the Euler phi function \\spad{\\phi(n)} is also called the totient function.")) (|euler| (((|Integer|) (|Integer|)) "\\spad{euler(n)} returns the \\spad{n}th Euler number. This is \\spad{2^n E(n,1/2)},{} where \\spad{E(n,x)} is the \\spad{n}th Euler polynomial.")) (|divisors| (((|List| (|Integer|)) (|Integer|)) "\\spad{divisors(n)} returns a list of the divisors of \\spad{n}.")) (|chineseRemainder| (((|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{chineseRemainder(x1,m1,x2,m2)} returns \\spad{w},{} where \\spad{w} is such that \\spad{w = x1 mod m1} and \\spad{w = x2 mod m2}. Note: \\spad{m1} and \\spad{m2} must be relatively prime.")) (|bernoulli| (((|Fraction| (|Integer|)) (|Integer|)) "\\spad{bernoulli(n)} returns the \\spad{n}th Bernoulli number. this is \\spad{B(n,0)},{} where \\spad{B(n,x)} is the \\spad{n}th Bernoulli polynomial."))) 
 NIL 
 NIL 
-(-574 -1959 UP UPUP R) 
+(-574 -1962 UP UPUP R) 
 ((|constructor| (NIL "algebraic Hermite redution.")) (|HermiteIntegrate| (((|Record| (|:| |answer| |#4|) (|:| |logpart| |#4|)) |#4| (|Mapping| |#2| |#2|)) "\\spad{HermiteIntegrate(f, ')} returns \\spad{[g,h]} such that \\spad{f = g' + h} and \\spad{h} has a only simple finite normal poles."))) 
 NIL 
 NIL 
-(-575 -1959 UP) 
+(-575 -1962 UP) 
 ((|constructor| (NIL "Hermite integration,{} transcendental case.")) (|HermiteIntegrate| (((|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |logpart| (|Fraction| |#2|)) (|:| |specpart| (|Fraction| |#2|)) (|:| |polypart| |#2|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{HermiteIntegrate(f, D)} returns \\spad{[g, h, s, p]} such that \\spad{f = Dg + h + s + p},{} \\spad{h} has a squarefree denominator normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} and all the squarefree factors of the denominator of \\spad{s} are special \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D}. Furthermore,{} \\spad{h} and \\spad{s} have no polynomial parts. \\spad{D} is the derivation to use on \\spadtype{UP}."))) 
 NIL 
 NIL 
 (-576) 
 ((|constructor| (NIL "\\spadtype{Integer} provides the domain of arbitrary precision integers.")) (|infinite| ((|attribute|) "nextItem never returns \"failed\".")) (|noetherian| ((|attribute|) "ascending chain condition on ideals.")) (|canonicalsClosed| ((|attribute|) "two positives multiply to give positive.")) (|canonical| ((|attribute|) "mathematical equality is data structure equality."))) 
-((-4446 . T) (-4452 . T) (-4456 . T) (-4451 . T) (-4462 . T) (-4463 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4447 . T) (-4453 . T) (-4457 . T) (-4452 . T) (-4463 . T) (-4464 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-577) 
 ((|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))) (|:| |extra| (|Result|))) (|NumericalIntegrationProblem|) (|RoutinesTable|)) "\\spad{measure(prob,R)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical integration problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} listed in \\axiom{\\spad{R}} of \\axiom{category} \\axiomType{NumericalIntegrationCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information.") (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))) (|:| |extra| (|Result|))) (|NumericalIntegrationProblem|)) "\\spad{measure(prob)} is a top level ANNA function for identifying the most appropriate numerical routine for solving the numerical integration problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} of \\axiom{category} \\axiomType{NumericalIntegrationCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information.")) (|integrate| (((|Union| (|Result|) "failed") (|Expression| (|Float|)) (|SegmentBinding| (|OrderedCompletion| (|Float|))) (|Symbol|)) "\\spad{integrate(exp, x = a..b, numerical)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range,{} {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.\\newline \\blankline Default values for the absolute and relative error are used. \\blankline It is an error if the last argument is not {\\spad{\\tt} numerical}.") (((|Union| (|Result|) "failed") (|Expression| (|Float|)) (|SegmentBinding| (|OrderedCompletion| (|Float|))) (|String|)) "\\spad{integrate(exp, x = a..b, \"numerical\")} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range,{} {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.\\newline \\blankline Default values for the absolute and relative error are used. \\blankline It is an error of the last argument is not {\\spad{\\tt} \"numerical\"}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|)))) (|Float|) (|Float|) (|RoutinesTable|)) "\\spad{integrate(exp, [a..b,c..d,...], epsabs, epsrel, routines)} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges to the required absolute and relative accuracy,{} using the routines available in the RoutinesTable provided. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|)))) (|Float|) (|Float|)) "\\spad{integrate(exp, [a..b,c..d,...], epsabs, epsrel)} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges to the required absolute and relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|)))) (|Float|)) "\\spad{integrate(exp, [a..b,c..d,...], epsrel)} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges to the required relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline If epsrel = 0,{} a default absolute accuracy is used.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|))))) "\\spad{integrate(exp, [a..b,c..d,...])} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline Default values for the absolute and relative error are used.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|)))) "\\spad{integrate(exp, a..b)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline Default values for the absolute and relative error are used.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|))) (|Float|)) "\\spad{integrate(exp, a..b, epsrel)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}} to the required relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline If epsrel = 0,{} a default absolute accuracy is used.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|))) (|Float|) (|Float|)) "\\spad{integrate(exp, a..b, epsabs, epsrel)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}} to the required absolute and relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|NumericalIntegrationProblem|)) "\\spad{integrate(IntegrationProblem)} is a top level ANNA function to integrate an expression over a given range or ranges to the required absolute and relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|))) (|Float|) (|Float|) (|RoutinesTable|)) "\\spad{integrate(exp, a..b, epsrel, routines)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}} to the required absolute and relative accuracy using the routines available in the RoutinesTable provided. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}."))) 
 NIL 
 NIL 
-(-578 R -1959 L) 
+(-578 R -1962 L) 
 ((|constructor| (NIL "This package provides functions for integration,{} limited integration,{} extended integration and the risch differential equation for pure algebraic integrands.")) (|palgLODE| (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Symbol|)) "\\spad{palgLODE(op, g, kx, y, x)} returns the solution of \\spad{op f = g}. \\spad{y} is an algebraic function of \\spad{x}.")) (|palgRDE| (((|Union| |#2| "failed") |#2| |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|))) "\\spad{palgRDE(nfp, f, g, x, y, foo)} returns a function \\spad{z(x,y)} such that \\spad{dz/dx + n * df/dx z(x,y) = g(x,y)} if such a \\spad{z} exists,{} \"failed\" otherwise; \\spad{y} is an algebraic function of \\spad{x}; \\spad{foo(a, b, x)} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}. \\spad{nfp} is \\spad{n * df/dx}.")) (|palglimint| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|)) "\\spad{palglimint(f, x, y, [u1,...,un])} returns functions \\spad{[h,[[ci, ui]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,...,un]} and \\spad{d(h + sum(ci log(ui)))/dx = f(x,y)} if such functions exist,{} \"failed\" otherwise; \\spad{y} is an algebraic function of \\spad{x}.")) (|palgextint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2|) "\\spad{palgextint(f, x, y, g)} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f(x,y) - c g},{} where \\spad{y} is an algebraic function of \\spad{x}; returns \"failed\" if no such functions exist.")) (|palgint| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|)) "\\spad{palgint(f, x, y)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x}."))) 
 NIL 
 ((|HasCategory| |#3| (LIST (QUOTE -668) (|devaluate| |#2|)))) 
-(-579 R -1959) 
+(-579 R -1962) 
 ((|constructor| (NIL "\\spadtype{PatternMatchIntegration} provides functions that use the pattern matcher to find some indefinite and definite integrals involving special functions and found in the litterature.")) (|pmintegrate| (((|Union| |#2| "failed") |#2| (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|)) "\\spad{pmintegrate(f, x = a..b)} returns the integral of \\spad{f(x)dx} from a to \\spad{b} if it can be found by the built-in pattern matching rules.") (((|Union| (|Record| (|:| |special| |#2|) (|:| |integrand| |#2|)) "failed") |#2| (|Symbol|)) "\\spad{pmintegrate(f, x)} returns either \"failed\" or \\spad{[g,h]} such that \\spad{integrate(f,x) = g + integrate(h,x)}.")) (|pmComplexintegrate| (((|Union| (|Record| (|:| |special| |#2|) (|:| |integrand| |#2|)) "failed") |#2| (|Symbol|)) "\\spad{pmComplexintegrate(f, x)} returns either \"failed\" or \\spad{[g,h]} such that \\spad{integrate(f,x) = g + integrate(h,x)}. It only looks for special complex integrals that pmintegrate does not return.")) (|splitConstant| (((|Record| (|:| |const| |#2|) (|:| |nconst| |#2|)) |#2| (|Symbol|)) "\\spad{splitConstant(f, x)} returns \\spad{[c, g]} such that \\spad{f = c * g} and \\spad{c} does not involve \\spad{t}."))) 
 NIL 
 ((-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-1160)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-641))))) 
-(-580 -1959 UP) 
+(-580 -1962 UP) 
 ((|constructor| (NIL "This package provides functions for the base case of the Risch algorithm.")) (|limitedint| (((|Union| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|)))))) "failed") (|Fraction| |#2|) (|List| (|Fraction| |#2|))) "\\spad{limitedint(f, [g1,...,gn])} returns fractions \\spad{[h,[[ci, gi]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,...,gn]},{} \\spad{ci' = 0},{} and \\spad{(h+sum(ci log(gi)))' = f},{} if possible,{} \"failed\" otherwise.")) (|extendedint| (((|Union| (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{extendedint(f, g)} returns fractions \\spad{[h, c]} such that \\spad{c' = 0} and \\spad{h' = f - cg},{} if \\spad{(h, c)} exist,{} \"failed\" otherwise.")) (|infieldint| (((|Union| (|Fraction| |#2|) "failed") (|Fraction| |#2|)) "\\spad{infieldint(f)} returns \\spad{g} such that \\spad{g' = f} or \"failed\" if the integral of \\spad{f} is not a rational function.")) (|integrate| (((|IntegrationResult| (|Fraction| |#2|)) (|Fraction| |#2|)) "\\spad{integrate(f)} returns \\spad{g} such that \\spad{g' = f}."))) 
 NIL 
 NIL 
@@ -2256,27 +2256,27 @@ NIL
 ((|constructor| (NIL "Provides integer testing and retraction functions. Date Created: March 1990 Date Last Updated: 9 April 1991")) (|integerIfCan| (((|Union| (|Integer|) "failed") |#1|) "\\spad{integerIfCan(x)} returns \\spad{x} as an integer,{} \"failed\" if \\spad{x} is not an integer.")) (|integer?| (((|Boolean|) |#1|) "\\spad{integer?(x)} is \\spad{true} if \\spad{x} is an integer,{} \\spad{false} otherwise.")) (|integer| (((|Integer|) |#1|) "\\spad{integer(x)} returns \\spad{x} as an integer; error if \\spad{x} is not an integer."))) 
 NIL 
 NIL 
-(-582 -1959) 
+(-582 -1962) 
 ((|constructor| (NIL "This package provides functions for the integration of rational functions.")) (|extendedIntegrate| (((|Union| (|Record| (|:| |ratpart| (|Fraction| (|Polynomial| |#1|))) (|:| |coeff| (|Fraction| (|Polynomial| |#1|)))) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|) (|Fraction| (|Polynomial| |#1|))) "\\spad{extendedIntegrate(f, x, g)} returns fractions \\spad{[h, c]} such that \\spad{dc/dx = 0} and \\spad{dh/dx = f - cg},{} if \\spad{(h, c)} exist,{} \"failed\" otherwise.")) (|limitedIntegrate| (((|Union| (|Record| (|:| |mainpart| (|Fraction| (|Polynomial| |#1|))) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| (|Polynomial| |#1|))) (|:| |logand| (|Fraction| (|Polynomial| |#1|))))))) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|) (|List| (|Fraction| (|Polynomial| |#1|)))) "\\spad{limitedIntegrate(f, x, [g1,...,gn])} returns fractions \\spad{[h, [[ci,gi]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,...,gn]},{} \\spad{dci/dx = 0},{} and \\spad{d(h + sum(ci log(gi)))/dx = f} if possible,{} \"failed\" otherwise.")) (|infieldIntegrate| (((|Union| (|Fraction| (|Polynomial| |#1|)) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{infieldIntegrate(f, x)} returns a fraction \\spad{g} such that \\spad{dg/dx = f} if \\spad{g} exists,{} \"failed\" otherwise.")) (|internalIntegrate| (((|IntegrationResult| (|Fraction| (|Polynomial| |#1|))) (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{internalIntegrate(f, x)} returns \\spad{g} such that \\spad{dg/dx = f}."))) 
 NIL 
 NIL 
 (-583 R) 
 ((|constructor| (NIL "\\indented{1}{+ Author: Mike Dewar} + Date Created: November 1996 + Date Last Updated: + Basic Functions: + Related Constructors: + Also See: + AMS Classifications: + Keywords: + References: + Description: + This domain is an implementation of interval arithmetic and transcendental + functions over intervals."))) 
-((-4165 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4166 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-584) 
 ((|constructor| (NIL "This package provides the implementation for the \\spadfun{solveLinearPolynomialEquation} operation over the integers. It uses a lifting technique from the package GenExEuclid")) (|solveLinearPolynomialEquation| (((|Union| (|List| (|SparseUnivariatePolynomial| (|Integer|))) "failed") (|List| (|SparseUnivariatePolynomial| (|Integer|))) (|SparseUnivariatePolynomial| (|Integer|))) "\\spad{solveLinearPolynomialEquation([f1, ..., fn], g)} (where the \\spad{fi} are relatively prime to each other) returns a list of \\spad{ai} such that \\spad{g/prod fi = sum ai/fi} or returns \"failed\" if no such list of \\spad{ai}\\spad{'s} exists."))) 
 NIL 
 NIL 
-(-585 R -1959) 
+(-585 R -1962) 
 ((|constructor| (NIL "\\indented{1}{Tools for the integrator} Author: Manuel Bronstein Date Created: 25 April 1990 Date Last Updated: 9 June 1993 Keywords: elementary,{} function,{} integration.")) (|intPatternMatch| (((|IntegrationResult| |#2|) |#2| (|Symbol|) (|Mapping| (|IntegrationResult| |#2|) |#2| (|Symbol|)) (|Mapping| (|Union| (|Record| (|:| |special| |#2|) (|:| |integrand| |#2|)) "failed") |#2| (|Symbol|))) "\\spad{intPatternMatch(f, x, int, pmint)} tries to integrate \\spad{f} first by using the integration function \\spad{int},{} and then by using the pattern match intetgration function \\spad{pmint} on any remaining unintegrable part.")) (|mkPrim| ((|#2| |#2| (|Symbol|)) "\\spad{mkPrim(f, x)} makes the logs in \\spad{f} which are linear in \\spad{x} primitive with respect to \\spad{x}.")) (|removeConstantTerm| ((|#2| |#2| (|Symbol|)) "\\spad{removeConstantTerm(f, x)} returns \\spad{f} minus any additive constant with respect to \\spad{x}.")) (|vark| (((|List| (|Kernel| |#2|)) (|List| |#2|) (|Symbol|)) "\\spad{vark([f1,...,fn],x)} returns the set-theoretic union of \\spad{(varselect(f1,x),...,varselect(fn,x))}.")) (|union| (((|List| (|Kernel| |#2|)) (|List| (|Kernel| |#2|)) (|List| (|Kernel| |#2|))) "\\spad{union(l1, l2)} returns set-theoretic union of \\spad{l1} and \\spad{l2}.")) (|ksec| (((|Kernel| |#2|) (|Kernel| |#2|) (|List| (|Kernel| |#2|)) (|Symbol|)) "\\spad{ksec(k, [k1,...,kn], x)} returns the second top-level \\spad{ki} after \\spad{k} involving \\spad{x}.")) (|kmax| (((|Kernel| |#2|) (|List| (|Kernel| |#2|))) "\\spad{kmax([k1,...,kn])} returns the top-level \\spad{ki} for integration.")) (|varselect| (((|List| (|Kernel| |#2|)) (|List| (|Kernel| |#2|)) (|Symbol|)) "\\spad{varselect([k1,...,kn], x)} returns the \\spad{ki} which involve \\spad{x}."))) 
 NIL 
 ((-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-294))) (|HasCategory| |#2| (QUOTE (-641))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-294)))) (|HasCategory| |#1| (QUOTE (-568)))) 
-(-586 -1959 UP) 
+(-586 -1962 UP) 
 ((|constructor| (NIL "This package provides functions for the transcendental case of the Risch algorithm.")) (|monomialIntPoly| (((|Record| (|:| |answer| |#2|) (|:| |polypart| |#2|)) |#2| (|Mapping| |#2| |#2|)) "\\spad{monomialIntPoly(p, ')} returns [\\spad{q},{} \\spad{r}] such that \\spad{p = q' + r} and \\spad{degree(r) < degree(t')}. Error if \\spad{degree(t') < 2}.")) (|monomialIntegrate| (((|Record| (|:| |ir| (|IntegrationResult| (|Fraction| |#2|))) (|:| |specpart| (|Fraction| |#2|)) (|:| |polypart| |#2|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{monomialIntegrate(f, ')} returns \\spad{[ir, s, p]} such that \\spad{f = ir' + s + p} and all the squarefree factors of the denominator of \\spad{s} are special \\spad{w}.\\spad{r}.\\spad{t} the derivation '.")) (|expintfldpoly| (((|Union| (|LaurentPolynomial| |#1| |#2|) "failed") (|LaurentPolynomial| |#1| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|)) "\\spad{expintfldpoly(p, foo)} returns \\spad{q} such that \\spad{p' = q} or \"failed\" if no such \\spad{q} exists. Argument foo is a Risch differential equation function on \\spad{F}.")) (|primintfldpoly| (((|Union| |#2| "failed") |#2| (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) |#1|) "\\spad{primintfldpoly(p, ', t')} returns \\spad{q} such that \\spad{p' = q} or \"failed\" if no such \\spad{q} exists. Argument \\spad{t'} is the derivative of the primitive generating the extension.")) (|primlimintfrac| (((|Union| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|)))))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|List| (|Fraction| |#2|))) "\\spad{primlimintfrac(f, ', [u1,...,un])} returns \\spad{[v, [c1,...,cn]]} such that \\spad{ci' = 0} and \\spad{f = v' + +/[ci * ui'/ui]}. Error: if \\spad{degree numer f >= degree denom f}.")) (|primextintfrac| (((|Union| (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Fraction| |#2|)) "\\spad{primextintfrac(f, ', g)} returns \\spad{[v, c]} such that \\spad{f = v' + c g} and \\spad{c' = 0}. Error: if \\spad{degree numer f >= degree denom f} or if \\spad{degree numer g >= degree denom g} or if \\spad{denom g} is not squarefree.")) (|explimitedint| (((|Union| (|Record| (|:| |answer| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|))))))) (|:| |a0| |#1|)) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|) (|List| (|Fraction| |#2|))) "\\spad{explimitedint(f, ', foo, [u1,...,un])} returns \\spad{[v, [c1,...,cn], a]} such that \\spad{ci' = 0},{} \\spad{f = v' + a + reduce(+,[ci * ui'/ui])},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}. Returns \"failed\" if no such \\spad{v},{} \\spad{ci},{} a exist. Argument \\spad{foo} is a Risch differential equation function on \\spad{F}.")) (|primlimitedint| (((|Union| (|Record| (|:| |answer| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|))))))) (|:| |a0| |#1|)) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) (|List| (|Fraction| |#2|))) "\\spad{primlimitedint(f, ', foo, [u1,...,un])} returns \\spad{[v, [c1,...,cn], a]} such that \\spad{ci' = 0},{} \\spad{f = v' + a + reduce(+,[ci * ui'/ui])},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Returns \"failed\" if no such \\spad{v},{} \\spad{ci},{} a exist. Argument \\spad{foo} is an extended integration function on \\spad{F}.")) (|expextendedint| (((|Union| (|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |a0| |#1|)) (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|) (|Fraction| |#2|)) "\\spad{expextendedint(f, ', foo, g)} returns either \\spad{[v, c]} such that \\spad{f = v' + c g} and \\spad{c' = 0},{} or \\spad{[v, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}. Returns \"failed\" if neither case can hold. Argument \\spad{foo} is a Risch differential equation function on \\spad{F}.")) (|primextendedint| (((|Union| (|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |a0| |#1|)) (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) (|Fraction| |#2|)) "\\spad{primextendedint(f, ', foo, g)} returns either \\spad{[v, c]} such that \\spad{f = v' + c g} and \\spad{c' = 0},{} or \\spad{[v, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Returns \"failed\" if neither case can hold. Argument \\spad{foo} is an extended integration function on \\spad{F}.")) (|tanintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|List| |#1|) "failed") (|Integer|) |#1| |#1|)) "\\spad{tanintegrate(f, ', foo)} returns \\spad{[g, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}; Argument foo is a Risch differential system solver on \\spad{F}.")) (|expintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|)) "\\spad{expintegrate(f, ', foo)} returns \\spad{[g, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}; Argument foo is a Risch differential equation solver on \\spad{F}.")) (|primintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|)) "\\spad{primintegrate(f, ', foo)} returns \\spad{[g, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Argument foo is an extended integration function on \\spad{F}."))) 
 NIL 
 NIL 
-(-587 R -1959) 
+(-587 R -1962) 
 ((|constructor| (NIL "This package computes the inverse Laplace Transform.")) (|inverseLaplace| (((|Union| |#2| "failed") |#2| (|Symbol|) (|Symbol|)) "\\spad{inverseLaplace(f, s, t)} returns the Inverse Laplace transform of \\spad{f(s)} using \\spad{t} as the new variable or \"failed\" if unable to find a closed form."))) 
 NIL 
 NIL 
@@ -2298,21 +2298,21 @@ NIL
 NIL 
 (-592 |p| |unBalanced?|) 
 ((|constructor| (NIL "This domain implements \\spad{Zp},{} the \\spad{p}-adic completion of the integers. This is an internal domain."))) 
-((-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-593 |p|) 
 ((|constructor| (NIL "InnerPrimeField(\\spad{p}) implements the field with \\spad{p} elements. Note: argument \\spad{p} MUST be a prime (this domain does not check). See \\spadtype{PrimeField} for a domain that does check."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 ((|HasCategory| $ (QUOTE (-148))) (|HasCategory| $ (QUOTE (-146))) (|HasCategory| $ (QUOTE (-379)))) 
 (-594) 
 ((|constructor| (NIL "A package to print strings without line-feed nor carriage-return.")) (|iprint| (((|Void|) (|String|)) "\\axiom{iprint(\\spad{s})} prints \\axiom{\\spad{s}} at the current position of the cursor."))) 
 NIL 
 NIL 
-(-595 R -1959) 
+(-595 R -1962) 
 ((|constructor| (NIL "This package allows a sum of logs over the roots of a polynomial to be expressed as explicit logarithms and arc tangents,{} provided that the indexing polynomial can be factored into quadratics.")) (|complexExpand| ((|#2| (|IntegrationResult| |#2|)) "\\spad{complexExpand(i)} returns the expanded complex function corresponding to \\spad{i}.")) (|expand| (((|List| |#2|) (|IntegrationResult| |#2|)) "\\spad{expand(i)} returns the list of possible real functions corresponding to \\spad{i}.")) (|split| (((|IntegrationResult| |#2|) (|IntegrationResult| |#2|)) "\\spad{split(u(x) + sum_{P(a)=0} Q(a,x))} returns \\spad{u(x) + sum_{P1(a)=0} Q(a,x) + ... + sum_{Pn(a)=0} Q(a,x)} where \\spad{P1},{}...,{}\\spad{Pn} are the factors of \\spad{P}."))) 
 NIL 
 NIL 
-(-596 E -1959) 
+(-596 E -1962) 
 ((|constructor| (NIL "\\indented{1}{Internally used by the integration packages} Author: Manuel Bronstein Date Created: 1987 Date Last Updated: 12 August 1992 Keywords: integration.")) (|map| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") (|Mapping| |#2| |#1|) (|Union| (|Record| (|:| |mainpart| |#1|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#1|) (|:| |logand| |#1|))))) "failed")) "\\spad{map(f,ufe)} \\undocumented") (((|Union| |#2| "failed") (|Mapping| |#2| |#1|) (|Union| |#1| "failed")) "\\spad{map(f,ue)} \\undocumented") (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") (|Mapping| |#2| |#1|) (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed")) "\\spad{map(f,ure)} \\undocumented") (((|IntegrationResult| |#2|) (|Mapping| |#2| |#1|) (|IntegrationResult| |#1|)) "\\spad{map(f,ire)} \\undocumented"))) 
 NIL 
 NIL 
@@ -2320,9 +2320,9 @@ NIL
 ((|constructor| (NIL "This domain provides representations for the intermediate form data structure used by the Spad elaborator.")) (|irDef| (($ (|Identifier|) (|InternalTypeForm|) $) "\\spad{irDef(f,ts,e)} returns an IR representation for a definition of a function named \\spad{f},{} with signature \\spad{ts} and body \\spad{e}.")) (|irCtor| (($ (|Identifier|) (|InternalTypeForm|)) "\\spad{irCtor(n,t)} returns an IR for a constructor reference of type designated by the type form \\spad{t}")) (|irVar| (($ (|Identifier|) (|InternalTypeForm|)) "\\spad{irVar(x,t)} returns an IR for a variable reference of type designated by the type form \\spad{t}"))) 
 NIL 
 NIL 
-(-598 -1959) 
+(-598 -1962) 
 ((|constructor| (NIL "If a function \\spad{f} has an elementary integral \\spad{g},{} then \\spad{g} can be written in the form \\spad{g = h + c1 log(u1) + c2 log(u2) + ... + cn log(un)} where \\spad{h},{} which is in the same field than \\spad{f},{} is called the rational part of the integral,{} and \\spad{c1 log(u1) + ... cn log(un)} is called the logarithmic part of the integral. This domain manipulates integrals represented in that form,{} by keeping both parts separately. The logs are not explicitly computed.")) (|differentiate| ((|#1| $ (|Symbol|)) "\\spad{differentiate(ir,x)} differentiates \\spad{ir} with respect to \\spad{x}") ((|#1| $ (|Mapping| |#1| |#1|)) "\\spad{differentiate(ir,D)} differentiates \\spad{ir} with respect to the derivation \\spad{D}.")) (|integral| (($ |#1| (|Symbol|)) "\\spad{integral(f,x)} returns the formal integral of \\spad{f} with respect to \\spad{x}") (($ |#1| |#1|) "\\spad{integral(f,x)} returns the formal integral of \\spad{f} with respect to \\spad{x}")) (|elem?| (((|Boolean|) $) "\\spad{elem?(ir)} tests if an integration result is elementary over \\spad{F?}")) (|notelem| (((|List| (|Record| (|:| |integrand| |#1|) (|:| |intvar| |#1|))) $) "\\spad{notelem(ir)} returns the non-elementary part of an integration result")) (|logpart| (((|List| (|Record| (|:| |scalar| (|Fraction| (|Integer|))) (|:| |coeff| (|SparseUnivariatePolynomial| |#1|)) (|:| |logand| (|SparseUnivariatePolynomial| |#1|)))) $) "\\spad{logpart(ir)} returns the logarithmic part of an integration result")) (|ratpart| ((|#1| $) "\\spad{ratpart(ir)} returns the rational part of an integration result")) (|mkAnswer| (($ |#1| (|List| (|Record| (|:| |scalar| (|Fraction| (|Integer|))) (|:| |coeff| (|SparseUnivariatePolynomial| |#1|)) (|:| |logand| (|SparseUnivariatePolynomial| |#1|)))) (|List| (|Record| (|:| |integrand| |#1|) (|:| |intvar| |#1|)))) "\\spad{mkAnswer(r,l,ne)} creates an integration result from a rational part \\spad{r},{} a logarithmic part \\spad{l},{} and a non-elementary part \\spad{ne}."))) 
-((-4459 . T) (-4458 . T)) 
+((-4460 . T) (-4459 . T)) 
 ((|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-1197))))) 
 (-599 I) 
 ((|constructor| (NIL "The \\spadtype{IntegerRoots} package computes square roots and \\indented{2}{\\spad{n}th roots of integers efficiently.}")) (|approxSqrt| ((|#1| |#1|) "\\spad{approxSqrt(n)} returns an approximation \\spad{x} to \\spad{sqrt(n)} such that \\spad{-1 < x - sqrt(n) < 1}. Compute an approximation \\spad{s} to \\spad{sqrt(n)} such that \\indented{10}{\\spad{-1 < s - sqrt(n) < 1}} A variable precision Newton iteration is used. The running time is \\spad{O( log(n)**2 )}.")) (|perfectSqrt| (((|Union| |#1| "failed") |#1|) "\\spad{perfectSqrt(n)} returns the square root of \\spad{n} if \\spad{n} is a perfect square and returns \"failed\" otherwise")) (|perfectSquare?| (((|Boolean|) |#1|) "\\spad{perfectSquare?(n)} returns \\spad{true} if \\spad{n} is a perfect square and \\spad{false} otherwise")) (|approxNthRoot| ((|#1| |#1| (|NonNegativeInteger|)) "\\spad{approxRoot(n,r)} returns an approximation \\spad{x} to \\spad{n**(1/r)} such that \\spad{-1 < x - n**(1/r) < 1}")) (|perfectNthRoot| (((|Record| (|:| |base| |#1|) (|:| |exponent| (|NonNegativeInteger|))) |#1|) "\\spad{perfectNthRoot(n)} returns \\spad{[x,r]},{} where \\spad{n = x\\^r} and \\spad{r} is the largest integer such that \\spad{n} is a perfect \\spad{r}th power") (((|Union| |#1| "failed") |#1| (|NonNegativeInteger|)) "\\spad{perfectNthRoot(n,r)} returns the \\spad{r}th root of \\spad{n} if \\spad{n} is an \\spad{r}th power and returns \"failed\" otherwise")) (|perfectNthPower?| (((|Boolean|) |#1| (|NonNegativeInteger|)) "\\spad{perfectNthPower?(n,r)} returns \\spad{true} if \\spad{n} is an \\spad{r}th power and \\spad{false} otherwise"))) 
@@ -2350,19 +2350,19 @@ NIL
 NIL 
 (-605 |mn|) 
 ((|constructor| (NIL "This domain implements low-level strings"))) 
-((-4465 . T) (-4464 . T)) 
-((-2758 (-12 (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (-2758 (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-876)))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (-2758 (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121)))) (|HasCategory| (-145) (QUOTE (-861))) (-2758 (|HasCategory| (-145) (QUOTE (-102))) (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) 
+((-4466 . T) (-4465 . T)) 
+((-2760 (-12 (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (-2760 (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-876)))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (-2760 (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121)))) (|HasCategory| (-145) (QUOTE (-861))) (-2760 (|HasCategory| (-145) (QUOTE (-102))) (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) 
 (-606 E V R P) 
 ((|constructor| (NIL "tools for the summation packages.")) (|sum| (((|Record| (|:| |num| |#4|) (|:| |den| (|Integer|))) |#4| |#2|) "\\spad{sum(p(n), n)} returns \\spad{P(n)},{} the indefinite sum of \\spad{p(n)} with respect to upward difference on \\spad{n},{} \\spadignore{i.e.} \\spad{P(n+1) - P(n) = a(n)}.") (((|Record| (|:| |num| |#4|) (|:| |den| (|Integer|))) |#4| |#2| (|Segment| |#4|)) "\\spad{sum(p(n), n = a..b)} returns \\spad{p(a) + p(a+1) + ... + p(b)}."))) 
 NIL 
 NIL 
 (-607 |Coef|) 
 ((|constructor| (NIL "InnerSparseUnivariatePowerSeries is an internal domain \\indented{2}{used for creating sparse Taylor and Laurent series.}")) (|cAcsch| (($ $) "\\spad{cAcsch(f)} computes the inverse hyperbolic cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsech| (($ $) "\\spad{cAsech(f)} computes the inverse hyperbolic secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcoth| (($ $) "\\spad{cAcoth(f)} computes the inverse hyperbolic cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAtanh| (($ $) "\\spad{cAtanh(f)} computes the inverse hyperbolic tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcosh| (($ $) "\\spad{cAcosh(f)} computes the inverse hyperbolic cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsinh| (($ $) "\\spad{cAsinh(f)} computes the inverse hyperbolic sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCsch| (($ $) "\\spad{cCsch(f)} computes the hyperbolic cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSech| (($ $) "\\spad{cSech(f)} computes the hyperbolic secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCoth| (($ $) "\\spad{cCoth(f)} computes the hyperbolic cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cTanh| (($ $) "\\spad{cTanh(f)} computes the hyperbolic tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCosh| (($ $) "\\spad{cCosh(f)} computes the hyperbolic cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSinh| (($ $) "\\spad{cSinh(f)} computes the hyperbolic sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcsc| (($ $) "\\spad{cAcsc(f)} computes the arccosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsec| (($ $) "\\spad{cAsec(f)} computes the arcsecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcot| (($ $) "\\spad{cAcot(f)} computes the arccotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAtan| (($ $) "\\spad{cAtan(f)} computes the arctangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcos| (($ $) "\\spad{cAcos(f)} computes the arccosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsin| (($ $) "\\spad{cAsin(f)} computes the arcsine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCsc| (($ $) "\\spad{cCsc(f)} computes the cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSec| (($ $) "\\spad{cSec(f)} computes the secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCot| (($ $) "\\spad{cCot(f)} computes the cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cTan| (($ $) "\\spad{cTan(f)} computes the tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCos| (($ $) "\\spad{cCos(f)} computes the cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSin| (($ $) "\\spad{cSin(f)} computes the sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cLog| (($ $) "\\spad{cLog(f)} computes the logarithm of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cExp| (($ $) "\\spad{cExp(f)} computes the exponential of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cRationalPower| (($ $ (|Fraction| (|Integer|))) "\\spad{cRationalPower(f,r)} computes \\spad{f^r}. For use when the coefficient ring is commutative.")) (|cPower| (($ $ |#1|) "\\spad{cPower(f,r)} computes \\spad{f^r},{} where \\spad{f} has constant coefficient 1. For use when the coefficient ring is commutative.")) (|integrate| (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. Warning: function does not check for a term of degree \\spad{-1}.")) (|seriesToOutputForm| (((|OutputForm|) (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|))) (|Reference| (|OrderedCompletion| (|Integer|))) (|Symbol|) |#1| (|Fraction| (|Integer|))) "\\spad{seriesToOutputForm(st,refer,var,cen,r)} prints the series \\spad{f((var - cen)^r)}.")) (|iCompose| (($ $ $) "\\spad{iCompose(f,g)} returns \\spad{f(g(x))}. This is an internal function which should only be called for Taylor series \\spad{f(x)} and \\spad{g(x)} such that the constant coefficient of \\spad{g(x)} is zero.")) (|taylorQuoByVar| (($ $) "\\spad{taylorQuoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...}")) (|iExquo| (((|Union| $ "failed") $ $ (|Boolean|)) "\\spad{iExquo(f,g,taylor?)} is the quotient of the power series \\spad{f} and \\spad{g}. If \\spad{taylor?} is \\spad{true},{} then we must have \\spad{order(f) >= order(g)}.")) (|multiplyCoefficients| (($ (|Mapping| |#1| (|Integer|)) $) "\\spad{multiplyCoefficients(fn,f)} returns the series \\spad{sum(fn(n) * an * x^n,n = n0..)},{} where \\spad{f} is the series \\spad{sum(an * x^n,n = n0..)}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(f)} tests if \\spad{f} is a single monomial.")) (|series| (($ (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents.")) (|getStream| (((|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|))) $) "\\spad{getStream(f)} returns the stream of terms representing the series \\spad{f}.")) (|getRef| (((|Reference| (|OrderedCompletion| (|Integer|))) $) "\\spad{getRef(f)} returns a reference containing the order to which the terms of \\spad{f} have been computed.")) (|makeSeries| (($ (|Reference| (|OrderedCompletion| (|Integer|))) (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|)))) "\\spad{makeSeries(refer,str)} creates a power series from the reference \\spad{refer} and the stream \\spad{str}."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-576)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-576)) (|devaluate| |#1|)))) (|HasCategory| (-576) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -3569) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-576)))))) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-576)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-576)) (|devaluate| |#1|)))) (|HasCategory| (-576) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -3570) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-576)))))) 
 (-608 |Coef|) 
 ((|constructor| (NIL "Internal package for dense Taylor series. This is an internal Taylor series type in which Taylor series are represented by a \\spadtype{Stream} of \\spadtype{Ring} elements. For univariate series,{} the \\spad{Stream} elements are the Taylor coefficients. For multivariate series,{} the \\spad{n}th Stream element is a form of degree \\spad{n} in the power series variables.")) (* (($ $ (|Integer|)) "\\spad{x*i} returns the product of integer \\spad{i} and the series \\spad{x}.")) (|order| (((|NonNegativeInteger|) $ (|NonNegativeInteger|)) "\\spad{order(x,n)} returns the minimum of \\spad{n} and the order of \\spad{x}.") (((|NonNegativeInteger|) $) "\\spad{order(x)} returns the order of a power series \\spad{x},{} \\indented{1}{\\spadignore{i.e.} the degree of the first non-zero term of the series.}")) (|pole?| (((|Boolean|) $) "\\spad{pole?(x)} tests if the series \\spad{x} has a pole. \\indented{1}{Note: this is \\spad{false} when \\spad{x} is a Taylor series.}")) (|series| (($ (|Stream| |#1|)) "\\spad{series(s)} creates a power series from a stream of \\indented{1}{ring elements.} \\indented{1}{For univariate series types,{} the stream \\spad{s} should be a stream} \\indented{1}{of Taylor coefficients. For multivariate series types,{} the} \\indented{1}{stream \\spad{s} should be a stream of forms the \\spad{n}th element} \\indented{1}{of which is a} \\indented{1}{form of degree \\spad{n} in the power series variables.}")) (|coefficients| (((|Stream| |#1|) $) "\\spad{coefficients(x)} returns a stream of ring elements. \\indented{1}{When \\spad{x} is a univariate series,{} this is a stream of Taylor} \\indented{1}{coefficients. When \\spad{x} is a multivariate series,{} the} \\indented{1}{\\spad{n}th element of the stream is a form of} \\indented{1}{degree \\spad{n} in the power series variables.}"))) 
-(((-4466 "*") |has| |#1| (-568)) (-4457 |has| |#1| (-568)) (-4458 . T) (-4459 . T) (-4461 . T)) 
+(((-4467 "*") |has| |#1| (-568)) (-4458 |has| |#1| (-568)) (-4459 . T) (-4460 . T) (-4462 . T)) 
 ((|HasCategory| |#1| (QUOTE (-568)))) 
 (-609) 
 ((|constructor| (NIL "This domain provides representations for internal type form.")) (|mappingMode| (($ $ (|List| $)) "\\spad{mappingMode(r,ts)} returns a mapping mode with return mode \\spad{r},{} and parameter modes \\spad{ts}.")) (|categoryMode| (($) "\\spad{categoryMode} is a constant mode denoting Category.")) (|voidMode| (($) "\\spad{voidMode} is a constant mode denoting Void.")) (|noValueMode| (($) "\\spad{noValueMode} is a constant mode that indicates that the value of an expression is to be ignored.")) (|jokerMode| (($) "\\spad{jokerMode} is a constant that stands for any mode in a type inference context"))) 
@@ -2376,7 +2376,7 @@ NIL
 ((|constructor| (NIL "Functions defined on streams with entries in two sets.")) (|map| (((|Stream| |#3|) (|Mapping| |#3| |#1| |#2|) (|InfiniteTuple| |#1|) (|Stream| |#2|)) "\\spad{map(f,a,b)} \\undocumented") (((|Stream| |#3|) (|Mapping| |#3| |#1| |#2|) (|Stream| |#1|) (|InfiniteTuple| |#2|)) "\\spad{map(f,a,b)} \\undocumented") (((|InfiniteTuple| |#3|) (|Mapping| |#3| |#1| |#2|) (|InfiniteTuple| |#1|) (|InfiniteTuple| |#2|)) "\\spad{map(f,a,b)} \\undocumented"))) 
 NIL 
 NIL 
-(-612 R -1959 FG) 
+(-612 R -1962 FG) 
 ((|constructor| (NIL "This package provides transformations from trigonometric functions to exponentials and logarithms,{} and back. \\spad{F} and \\spad{FG} should be the same type of function space.")) (|trigs2explogs| ((|#3| |#3| (|List| (|Kernel| |#3|)) (|List| (|Symbol|))) "\\spad{trigs2explogs(f, [k1,...,kn], [x1,...,xm])} rewrites all the trigonometric functions appearing in \\spad{f} and involving one of the \\spad{xi's} in terms of complex logarithms and exponentials. A kernel of the form \\spad{tan(u)} is expressed using \\spad{exp(u)**2} if it is one of the \\spad{ki's},{} in terms of \\spad{exp(2*u)} otherwise.")) (|explogs2trigs| (((|Complex| |#2|) |#3|) "\\spad{explogs2trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (F2FG ((|#3| |#2|) "\\spad{F2FG(a + sqrt(-1) b)} returns \\spad{a + i b}.")) (FG2F ((|#2| |#3|) "\\spad{FG2F(a + i b)} returns \\spad{a + sqrt(-1) b}.")) (GF2FG ((|#3| (|Complex| |#2|)) "\\spad{GF2FG(a + i b)} returns \\spad{a + i b} viewed as a function with the \\spad{i} pushed down into the coefficient domain."))) 
 NIL 
 NIL 
@@ -2386,12 +2386,12 @@ NIL
 NIL 
 (-614 R |mn|) 
 ((|constructor| (NIL "\\indented{2}{This type represents vector like objects with varying lengths} and a user-specified initial index."))) 
-((-4465 . T) (-4464 . T)) 
-((-2758 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2758 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1070))) (-12 (|HasCategory| |#1| (QUOTE (-1023))) (|HasCategory| |#1| (QUOTE (-1070)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-4466 . T) (-4465 . T)) 
+((-2760 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2760 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1070))) (-12 (|HasCategory| |#1| (QUOTE (-1023))) (|HasCategory| |#1| (QUOTE (-1070)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
 (-615 S |Index| |Entry|) 
 ((|constructor| (NIL "An indexed aggregate is a many-to-one mapping of indices to entries. For example,{} a one-dimensional-array is an indexed aggregate where the index is an integer. Also,{} a table is an indexed aggregate where the indices and entries may have any type.")) (|swap!| (((|Void|) $ |#2| |#2|) "\\spad{swap!(u,i,j)} interchanges elements \\spad{i} and \\spad{j} of aggregate \\spad{u}. No meaningful value is returned.")) (|fill!| (($ $ |#3|) "\\spad{fill!(u,x)} replaces each entry in aggregate \\spad{u} by \\spad{x}. The modified \\spad{u} is returned as value.")) (|first| ((|#3| $) "\\spad{first(u)} returns the first element \\spad{x} of \\spad{u}. Note: for collections,{} \\axiom{first([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = \\spad{x}}. Error: if \\spad{u} is empty.")) (|minIndex| ((|#2| $) "\\spad{minIndex(u)} returns the minimum index \\spad{i} of aggregate \\spad{u}. Note: in general,{} \\axiom{minIndex(a) = reduce(min,{}[\\spad{i} for \\spad{i} in indices a])}; for lists,{} \\axiom{minIndex(a) = 1}.")) (|maxIndex| ((|#2| $) "\\spad{maxIndex(u)} returns the maximum index \\spad{i} of aggregate \\spad{u}. Note: in general,{} \\axiom{maxIndex(\\spad{u}) = reduce(max,{}[\\spad{i} for \\spad{i} in indices \\spad{u}])}; if \\spad{u} is a list,{} \\axiom{maxIndex(\\spad{u}) = \\#u}.")) (|entry?| (((|Boolean|) |#3| $) "\\spad{entry?(x,u)} tests if \\spad{x} equals \\axiom{\\spad{u} . \\spad{i}} for some index \\spad{i}.")) (|indices| (((|List| |#2|) $) "\\spad{indices(u)} returns a list of indices of aggregate \\spad{u} in no particular order.")) (|index?| (((|Boolean|) |#2| $) "\\spad{index?(i,u)} tests if \\spad{i} is an index of aggregate \\spad{u}.")) (|entries| (((|List| |#3|) $) "\\spad{entries(u)} returns a list of all the entries of aggregate \\spad{u} in no assumed order."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4465)) (|HasCategory| |#2| (QUOTE (-861))) (|HasAttribute| |#1| (QUOTE -4464)) (|HasCategory| |#3| (QUOTE (-1121)))) 
+((|HasAttribute| |#1| (QUOTE -4466)) (|HasCategory| |#2| (QUOTE (-861))) (|HasAttribute| |#1| (QUOTE -4465)) (|HasCategory| |#3| (QUOTE (-1121)))) 
 (-616 |Index| |Entry|) 
 ((|constructor| (NIL "An indexed aggregate is a many-to-one mapping of indices to entries. For example,{} a one-dimensional-array is an indexed aggregate where the index is an integer. Also,{} a table is an indexed aggregate where the indices and entries may have any type.")) (|swap!| (((|Void|) $ |#1| |#1|) "\\spad{swap!(u,i,j)} interchanges elements \\spad{i} and \\spad{j} of aggregate \\spad{u}. No meaningful value is returned.")) (|fill!| (($ $ |#2|) "\\spad{fill!(u,x)} replaces each entry in aggregate \\spad{u} by \\spad{x}. The modified \\spad{u} is returned as value.")) (|first| ((|#2| $) "\\spad{first(u)} returns the first element \\spad{x} of \\spad{u}. Note: for collections,{} \\axiom{first([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = \\spad{x}}. Error: if \\spad{u} is empty.")) (|minIndex| ((|#1| $) "\\spad{minIndex(u)} returns the minimum index \\spad{i} of aggregate \\spad{u}. Note: in general,{} \\axiom{minIndex(a) = reduce(min,{}[\\spad{i} for \\spad{i} in indices a])}; for lists,{} \\axiom{minIndex(a) = 1}.")) (|maxIndex| ((|#1| $) "\\spad{maxIndex(u)} returns the maximum index \\spad{i} of aggregate \\spad{u}. Note: in general,{} \\axiom{maxIndex(\\spad{u}) = reduce(max,{}[\\spad{i} for \\spad{i} in indices \\spad{u}])}; if \\spad{u} is a list,{} \\axiom{maxIndex(\\spad{u}) = \\#u}.")) (|entry?| (((|Boolean|) |#2| $) "\\spad{entry?(x,u)} tests if \\spad{x} equals \\axiom{\\spad{u} . \\spad{i}} for some index \\spad{i}.")) (|indices| (((|List| |#1|) $) "\\spad{indices(u)} returns a list of indices of aggregate \\spad{u} in no particular order.")) (|index?| (((|Boolean|) |#1| $) "\\spad{index?(i,u)} tests if \\spad{i} is an index of aggregate \\spad{u}.")) (|entries| (((|List| |#2|) $) "\\spad{entries(u)} returns a list of all the entries of aggregate \\spad{u} in no assumed order."))) 
 NIL 
@@ -2406,19 +2406,19 @@ NIL
 NIL 
 (-619 R A) 
 ((|constructor| (NIL "\\indented{1}{AssociatedJordanAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$A}} \\indented{1}{to define the new multiplications \\spad{a*b := (a *\\$A b + b *\\$A a)/2}} \\indented{1}{(anticommutator).} \\indented{1}{The usual notation \\spad{{a,b}_+} cannot be used due to} \\indented{1}{restrictions in the current language.} \\indented{1}{This domain only gives a Jordan algebra if the} \\indented{1}{Jordan-identity \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} holds} \\indented{1}{for all \\spad{a},{}\\spad{b},{}\\spad{c} in \\spad{A}.} \\indented{1}{This relation can be checked by} \\indented{1}{\\spadfun{jordanAdmissible?()\\$A}.} \\blankline If the underlying algebra is of type \\spadtype{FramedNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank,{} together with a fixed \\spad{R}-module basis),{} then the same is \\spad{true} for the associated Jordan algebra. Moreover,{} if the underlying algebra is of type \\spadtype{FiniteRankNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank),{} then the same \\spad{true} for the associated Jordan algebra.")) (|coerce| (($ |#2|) "\\spad{coerce(a)} coerces the element \\spad{a} of the algebra \\spad{A} to an element of the Jordan algebra \\spadtype{AssociatedJordanAlgebra}(\\spad{R},{}A)."))) 
-((-4461 -2758 (-2673 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4459 . T) (-4458 . T)) 
-((-2758 (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) 
+((-4462 -2760 (-2675 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4460 . T) (-4459 . T)) 
+((-2760 (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) 
 (-620 |Entry|) 
 ((|constructor| (NIL "This domain allows a random access file to be viewed both as a table and as a file object.")) (|pack!| (($ $) "\\spad{pack!(f)} reorganizes the file \\spad{f} on disk to recover unused space."))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4438 |#1|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4438 |#1|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4300) (QUOTE (-1179))) (LIST (QUOTE |:|) (QUOTE -4438) (|devaluate| |#1|)))))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4438 |#1|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| (-1179) (QUOTE (-861))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4438 |#1|)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4438 |#1|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4438 |#1|)) (QUOTE (-102)))) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4301) (QUOTE (-1179))) (LIST (QUOTE |:|) (QUOTE -4440) (|devaluate| |#1|)))))) (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| (-1179) (QUOTE (-861))) (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (QUOTE (-102)))) 
 (-621 S |Key| |Entry|) 
 ((|constructor| (NIL "A keyed dictionary is a dictionary of key-entry pairs for which there is a unique entry for each key.")) (|search| (((|Union| |#3| "failed") |#2| $) "\\spad{search(k,t)} searches the table \\spad{t} for the key \\spad{k},{} returning the entry stored in \\spad{t} for key \\spad{k}. If \\spad{t} has no such key,{} \\axiom{search(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|remove!| (((|Union| |#3| "failed") |#2| $) "\\spad{remove!(k,t)} searches the table \\spad{t} for the key \\spad{k} removing (and return) the entry if there. If \\spad{t} has no such key,{} \\axiom{remove!(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|keys| (((|List| |#2|) $) "\\spad{keys(t)} returns the list the keys in table \\spad{t}.")) (|key?| (((|Boolean|) |#2| $) "\\spad{key?(k,t)} tests if \\spad{k} is a key in table \\spad{t}."))) 
 NIL 
 NIL 
 (-622 |Key| |Entry|) 
 ((|constructor| (NIL "A keyed dictionary is a dictionary of key-entry pairs for which there is a unique entry for each key.")) (|search| (((|Union| |#2| "failed") |#1| $) "\\spad{search(k,t)} searches the table \\spad{t} for the key \\spad{k},{} returning the entry stored in \\spad{t} for key \\spad{k}. If \\spad{t} has no such key,{} \\axiom{search(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|remove!| (((|Union| |#2| "failed") |#1| $) "\\spad{remove!(k,t)} searches the table \\spad{t} for the key \\spad{k} removing (and return) the entry if there. If \\spad{t} has no such key,{} \\axiom{remove!(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|keys| (((|List| |#1|) $) "\\spad{keys(t)} returns the list the keys in table \\spad{t}.")) (|key?| (((|Boolean|) |#1| $) "\\spad{key?(k,t)} tests if \\spad{k} is a key in table \\spad{t}."))) 
-((-4465 . T)) 
+((-4466 . T)) 
 NIL 
 (-623 R S) 
 ((|constructor| (NIL "This package exports some auxiliary functions on kernels")) (|constantIfCan| (((|Union| |#1| "failed") (|Kernel| |#2|)) "\\spad{constantIfCan(k)} \\undocumented")) (|constantKernel| (((|Kernel| |#2|) |#1|) "\\spad{constantKernel(r)} \\undocumented"))) 
@@ -2436,7 +2436,7 @@ NIL
 ((|constructor| (NIL "A is convertible to \\spad{B} means any element of A can be converted into an element of \\spad{B},{} but not automatically by the interpreter.")) (|convert| ((|#1| $) "\\spad{convert(a)} transforms a into an element of \\spad{S}."))) 
 NIL 
 NIL 
-(-627 -1959 UP) 
+(-627 -1962 UP) 
 ((|constructor| (NIL "\\spadtype{Kovacic} provides a modified Kovacic\\spad{'s} algorithm for solving explicitely irreducible 2nd order linear ordinary differential equations.")) (|kovacic| (((|Union| (|SparseUnivariatePolynomial| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{kovacic(a_0,a_1,a_2,ezfactor)} returns either \"failed\" or \\spad{P}(\\spad{u}) such that \\spad{\\$e^{\\int(-a_1/2a_2)} e^{\\int u}\\$} is a solution of \\indented{5}{\\spad{\\$a_2 y'' + a_1 y' + a0 y = 0\\$}} whenever \\spad{u} is a solution of \\spad{P u = 0}. The equation must be already irreducible over the rational functions. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|Union| (|SparseUnivariatePolynomial| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{kovacic(a_0,a_1,a_2)} returns either \"failed\" or \\spad{P}(\\spad{u}) such that \\spad{\\$e^{\\int(-a_1/2a_2)} e^{\\int u}\\$} is a solution of \\indented{5}{\\spad{a_2 y'' + a_1 y' + a0 y = 0}} whenever \\spad{u} is a solution of \\spad{P u = 0}. The equation must be already irreducible over the rational functions."))) 
 NIL 
 NIL 
@@ -2458,19 +2458,19 @@ NIL
 NIL 
 (-632 R) 
 ((|constructor| (NIL "The category of all left algebras over an arbitrary ring.")) (|coerce| (($ |#1|) "\\spad{coerce(r)} returns \\spad{r} * 1 where 1 is the identity of the left algebra."))) 
-((-4461 . T)) 
+((-4462 . T)) 
 NIL 
 (-633 A R S) 
 ((|constructor| (NIL "LocalAlgebra produces the localization of an algebra,{} \\spadignore{i.e.} fractions whose numerators come from some \\spad{R} algebra.")) (|denom| ((|#3| $) "\\spad{denom x} returns the denominator of \\spad{x}.")) (|numer| ((|#1| $) "\\spad{numer x} returns the numerator of \\spad{x}.")) (/ (($ |#1| |#3|) "\\spad{a / d} divides the element \\spad{a} by \\spad{d}.") (($ $ |#3|) "\\spad{x / d} divides the element \\spad{x} by \\spad{d}."))) 
-((-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4459 . T) (-4460 . T) (-4462 . T)) 
 ((|HasCategory| |#1| (QUOTE (-860)))) 
-(-634 R -1959) 
+(-634 R -1962) 
 ((|constructor| (NIL "This package computes the forward Laplace Transform.")) (|laplace| ((|#2| |#2| (|Symbol|) (|Symbol|)) "\\spad{laplace(f, t, s)} returns the Laplace transform of \\spad{f(t)} using \\spad{s} as the new variable. This is \\spad{integral(exp(-s*t)*f(t), t = 0..\\%plusInfinity)}. Returns the formal object \\spad{laplace(f, t, s)} if it cannot compute the transform."))) 
 NIL 
 NIL 
 (-635 R UP) 
 ((|constructor| (NIL "\\indented{1}{Univariate polynomials with negative and positive exponents.} Author: Manuel Bronstein Date Created: May 1988 Date Last Updated: 26 Apr 1990")) (|separate| (((|Record| (|:| |polyPart| $) (|:| |fracPart| (|Fraction| |#2|))) (|Fraction| |#2|)) "\\spad{separate(x)} \\undocumented")) (|monomial| (($ |#1| (|Integer|)) "\\spad{monomial(x,n)} \\undocumented")) (|coefficient| ((|#1| $ (|Integer|)) "\\spad{coefficient(x,n)} \\undocumented")) (|trailingCoefficient| ((|#1| $) "\\spad{trailingCoefficient }\\undocumented")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient }\\undocumented")) (|reductum| (($ $) "\\spad{reductum(x)} \\undocumented")) (|order| (((|Integer|) $) "\\spad{order(x)} \\undocumented")) (|degree| (((|Integer|) $) "\\spad{degree(x)} \\undocumented")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(x)} \\undocumented"))) 
-((-4459 . T) (-4458 . T) ((-4466 "*") . T) (-4457 . T) (-4461 . T)) 
+((-4460 . T) (-4459 . T) ((-4467 "*") . T) (-4458 . T) (-4462 . T)) 
 ((|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) 
 (-636 R E V P TS ST) 
 ((|constructor| (NIL "A package for solving polynomial systems by means of Lazard triangular sets [1]. This package provides two operations. One for solving in the sense of the regular zeros,{} and the other for solving in the sense of the Zariski closure. Both produce square-free regular sets. Moreover,{} the decompositions do not contain any redundant component. However,{} only zero-dimensional regular sets are normalized,{} since normalization may be time consumming in positive dimension. The decomposition process is that of [2].\\newline References : \\indented{1}{[1] \\spad{D}. LAZARD \"A new method for solving algebraic systems of} \\indented{5}{positive dimension\" Discr. App. Math. 33:147-160,{}1991} \\indented{1}{[2] \\spad{M}. MORENO MAZA \"A new algorithm for computing triangular} \\indented{5}{decomposition of algebraic varieties\" NAG Tech. Rep. 4/98.}")) (|zeroSetSplit| (((|List| |#6|) (|List| |#4|) (|Boolean|)) "\\axiom{zeroSetSplit(\\spad{lp},{}clos?)} has the same specifications as \\axiomOpFrom{zeroSetSplit(\\spad{lp},{}clos?)}{RegularTriangularSetCategory}.")) (|normalizeIfCan| ((|#6| |#6|) "\\axiom{normalizeIfCan(\\spad{ts})} returns \\axiom{\\spad{ts}} in an normalized shape if \\axiom{\\spad{ts}} is zero-dimensional."))) 
@@ -2486,7 +2486,7 @@ NIL
 NIL 
 (-639 |VarSet| R |Order|) 
 ((|constructor| (NIL "Management of the Lie Group associated with a free nilpotent Lie algebra. Every Lie bracket with length greater than \\axiom{Order} are assumed to be null. The implementation inherits from the \\spadtype{XPBWPolynomial} domain constructor: Lyndon coordinates are exponential coordinates of the second kind. \\newline Author: Michel Petitot (petitot@lifl.\\spad{fr}).")) (|identification| (((|List| (|Equation| |#2|)) $ $) "\\axiom{identification(\\spad{g},{}\\spad{h})} returns the list of equations \\axiom{g_i = h_i},{} where \\axiom{g_i} (resp. \\axiom{h_i}) are exponential coordinates of \\axiom{\\spad{g}} (resp. \\axiom{\\spad{h}}).")) (|LyndonCoordinates| (((|List| (|Record| (|:| |k| (|LyndonWord| |#1|)) (|:| |c| |#2|))) $) "\\axiom{LyndonCoordinates(\\spad{g})} returns the exponential coordinates of \\axiom{\\spad{g}}.")) (|LyndonBasis| (((|List| (|LiePolynomial| |#1| |#2|)) (|List| |#1|)) "\\axiom{LyndonBasis(\\spad{lv})} returns the Lyndon basis of the nilpotent free Lie algebra.")) (|varList| (((|List| |#1|) $) "\\axiom{varList(\\spad{g})} returns the list of variables of \\axiom{\\spad{g}}.")) (|mirror| (($ $) "\\axiom{mirror(\\spad{g})} is the mirror of the internal representation of \\axiom{\\spad{g}}.")) (|coerce| (((|XPBWPolynomial| |#1| |#2|) $) "\\axiom{coerce(\\spad{g})} returns the internal representation of \\axiom{\\spad{g}}.") (((|XDistributedPolynomial| |#1| |#2|) $) "\\axiom{coerce(\\spad{g})} returns the internal representation of \\axiom{\\spad{g}}.")) (|ListOfTerms| (((|List| (|Record| (|:| |k| (|PoincareBirkhoffWittLyndonBasis| |#1|)) (|:| |c| |#2|))) $) "\\axiom{ListOfTerms(\\spad{p})} returns the internal representation of \\axiom{\\spad{p}}.")) (|log| (((|LiePolynomial| |#1| |#2|) $) "\\axiom{log(\\spad{p})} returns the logarithm of \\axiom{\\spad{p}}.")) (|exp| (($ (|LiePolynomial| |#1| |#2|)) "\\axiom{exp(\\spad{p})} returns the exponential of \\axiom{\\spad{p}}."))) 
-((-4461 . T)) 
+((-4462 . T)) 
 NIL 
 (-640 R |ls|) 
 ((|constructor| (NIL "A package for solving polynomial systems with finitely many solutions. The decompositions are given by means of regular triangular sets. The computations use lexicographical Groebner bases. The main operations are \\axiomOpFrom{lexTriangular}{LexTriangularPackage} and \\axiomOpFrom{squareFreeLexTriangular}{LexTriangularPackage}. The second one provide decompositions by means of square-free regular triangular sets. Both are based on the {\\em lexTriangular} method described in [1]. They differ from the algorithm described in [2] by the fact that multiciplities of the roots are not kept. With the \\axiomOpFrom{squareFreeLexTriangular}{LexTriangularPackage} operation all multiciplities are removed. With the other operation some multiciplities may remain. Both operations admit an optional argument to produce normalized triangular sets. \\newline")) (|zeroSetSplit| (((|List| (|SquareFreeRegularTriangularSet| |#1| (|IndexedExponents| (|OrderedVariableList| |#2|)) (|OrderedVariableList| |#2|) (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|)))) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) (|Boolean|)) "\\axiom{zeroSetSplit(\\spad{lp},{} norm?)} decomposes the variety associated with \\axiom{\\spad{lp}} into square-free regular chains. Thus a point belongs to this variety iff it is a regular zero of a regular set in in the output. Note that \\axiom{\\spad{lp}} needs to generate a zero-dimensional ideal. If \\axiom{norm?} is \\axiom{\\spad{true}} then the regular sets are normalized.") (((|List| (|RegularChain| |#1| |#2|)) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) (|Boolean|)) "\\axiom{zeroSetSplit(\\spad{lp},{} norm?)} decomposes the variety associated with \\axiom{\\spad{lp}} into regular chains. Thus a point belongs to this variety iff it is a regular zero of a regular set in in the output. Note that \\axiom{\\spad{lp}} needs to generate a zero-dimensional ideal. If \\axiom{norm?} is \\axiom{\\spad{true}} then the regular sets are normalized.")) (|squareFreeLexTriangular| (((|List| (|SquareFreeRegularTriangularSet| |#1| (|IndexedExponents| (|OrderedVariableList| |#2|)) (|OrderedVariableList| |#2|) (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|)))) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) (|Boolean|)) "\\axiom{squareFreeLexTriangular(base,{} norm?)} decomposes the variety associated with \\axiom{base} into square-free regular chains. Thus a point belongs to this variety iff it is a regular zero of a regular set in in the output. Note that \\axiom{base} needs to be a lexicographical Groebner basis of a zero-dimensional ideal. If \\axiom{norm?} is \\axiom{\\spad{true}} then the regular sets are normalized.")) (|lexTriangular| (((|List| (|RegularChain| |#1| |#2|)) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) (|Boolean|)) "\\axiom{lexTriangular(base,{} norm?)} decomposes the variety associated with \\axiom{base} into regular chains. Thus a point belongs to this variety iff it is a regular zero of a regular set in in the output. Note that \\axiom{base} needs to be a lexicographical Groebner basis of a zero-dimensional ideal. If \\axiom{norm?} is \\axiom{\\spad{true}} then the regular sets are normalized.")) (|groebner| (((|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|)))) "\\axiom{groebner(\\spad{lp})} returns the lexicographical Groebner basis of \\axiom{\\spad{lp}}. If \\axiom{\\spad{lp}} generates a zero-dimensional ideal then the {\\em FGLM} strategy is used,{} otherwise the {\\em Sugar} strategy is used.")) (|fglmIfCan| (((|Union| (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) "failed") (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|)))) "\\axiom{fglmIfCan(\\spad{lp})} returns the lexicographical Groebner basis of \\axiom{\\spad{lp}} by using the {\\em FGLM} strategy,{} if \\axiom{zeroDimensional?(\\spad{lp})} holds .")) (|zeroDimensional?| (((|Boolean|) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|)))) "\\axiom{zeroDimensional?(\\spad{lp})} returns \\spad{true} iff \\axiom{\\spad{lp}} generates a zero-dimensional ideal \\spad{w}.\\spad{r}.\\spad{t}. the variables involved in \\axiom{\\spad{lp}}."))) 
@@ -2496,30 +2496,30 @@ NIL
 ((|constructor| (NIL "Category for the transcendental Liouvillian functions.")) (|erf| (($ $) "\\spad{erf(x)} returns the error function of \\spad{x},{} \\spadignore{i.e.} \\spad{2 / sqrt(\\%pi)} times the integral of \\spad{exp(-x**2) dx}.")) (|dilog| (($ $) "\\spad{dilog(x)} returns the dilogarithm of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{log(x) / (1 - x) dx}.")) (|li| (($ $) "\\spad{li(x)} returns the logarithmic integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{dx / log(x)}.")) (|Ci| (($ $) "\\spad{Ci(x)} returns the cosine integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{cos(x) / x dx}.")) (|Si| (($ $) "\\spad{Si(x)} returns the sine integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{sin(x) / x dx}.")) (|Ei| (($ $) "\\spad{Ei(x)} returns the exponential integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{exp(x)/x dx}."))) 
 NIL 
 NIL 
-(-642 R -1959) 
+(-642 R -1962) 
 ((|constructor| (NIL "This package provides liouvillian functions over an integral domain.")) (|integral| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{integral(f,x = a..b)} denotes the definite integral of \\spad{f} with respect to \\spad{x} from \\spad{a} to \\spad{b}.") ((|#2| |#2| (|Symbol|)) "\\spad{integral(f,x)} indefinite integral of \\spad{f} with respect to \\spad{x}.")) (|dilog| ((|#2| |#2|) "\\spad{dilog(f)} denotes the dilogarithm")) (|erf| ((|#2| |#2|) "\\spad{erf(f)} denotes the error function")) (|li| ((|#2| |#2|) "\\spad{li(f)} denotes the logarithmic integral")) (|Ci| ((|#2| |#2|) "\\spad{Ci(f)} denotes the cosine integral")) (|Si| ((|#2| |#2|) "\\spad{Si(f)} denotes the sine integral")) (|Ei| ((|#2| |#2|) "\\spad{Ei(f)} denotes the exponential integral")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns the Liouvillian operator based on \\spad{op}")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} checks if \\spad{op} is Liouvillian"))) 
 NIL 
 NIL 
-(-643 |lv| -1959) 
+(-643 |lv| -1962) 
 ((|constructor| (NIL "\\indented{1}{Given a Groebner basis \\spad{B} with respect to the total degree ordering for} a zero-dimensional ideal \\spad{I},{} compute a Groebner basis with respect to the lexicographical ordering by using linear algebra.")) (|transform| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{transform }\\undocumented")) (|choosemon| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{choosemon }\\undocumented")) (|intcompBasis| (((|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|OrderedVariableList| |#1|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{intcompBasis }\\undocumented")) (|anticoord| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|List| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{anticoord }\\undocumented")) (|coord| (((|Vector| |#2|) (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{coord }\\undocumented")) (|computeBasis| (((|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{computeBasis }\\undocumented")) (|minPol| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|OrderedVariableList| |#1|)) "\\spad{minPol }\\undocumented") (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|OrderedVariableList| |#1|)) "\\spad{minPol }\\undocumented")) (|totolex| (((|List| (|DistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{totolex }\\undocumented")) (|groebgen| (((|Record| (|:| |glbase| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|:| |glval| (|List| (|Integer|)))) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{groebgen }\\undocumented")) (|linGenPos| (((|Record| (|:| |gblist| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|:| |gvlist| (|List| (|Integer|)))) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{linGenPos }\\undocumented"))) 
 NIL 
 NIL 
 (-644) 
 ((|constructor| (NIL "This domain provides a simple way to save values in files.")) (|setelt| (((|Any|) $ (|Symbol|) (|Any|)) "\\spad{lib.k := v} saves the value \\spad{v} in the library \\spad{lib}. It can later be extracted using the key \\spad{k}.")) (|pack!| (($ $) "\\spad{pack!(f)} reorganizes the file \\spad{f} on disk to recover unused space.")) (|library| (($ (|FileName|)) "\\spad{library(ln)} creates a new library file."))) 
-((-4465 . T)) 
-((-12 (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4438 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4438 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4300) (QUOTE (-1179))) (LIST (QUOTE |:|) (QUOTE -4438) (QUOTE (-52))))))) (-2758 (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4438 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-1121)))) (-2758 (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4438 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4438 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1121)))) (-2758 (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4438 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4438 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4438 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-1179) (QUOTE (-861))) (-2758 (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4438 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (-2758 (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4438 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4438 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4438 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4438 (-52))) (QUOTE (-1121)))) 
+((-4466 . T)) 
+((-12 (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4301) (QUOTE (-1179))) (LIST (QUOTE |:|) (QUOTE -4440) (QUOTE (-52))))))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-1179) (QUOTE (-861))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 (-52))) (QUOTE (-1121)))) 
 (-645 S R) 
 ((|constructor| (NIL "\\axiom{JacobiIdentity} means that \\axiom{[\\spad{x},{}[\\spad{y},{}\\spad{z}]]+[\\spad{y},{}[\\spad{z},{}\\spad{x}]]+[\\spad{z},{}[\\spad{x},{}\\spad{y}]] = 0} holds.")) (/ (($ $ |#2|) "\\axiom{\\spad{x/r}} returns the division of \\axiom{\\spad{x}} by \\axiom{\\spad{r}}.")) (|construct| (($ $ $) "\\axiom{construct(\\spad{x},{}\\spad{y})} returns the Lie bracket of \\axiom{\\spad{x}} and \\axiom{\\spad{y}}."))) 
 NIL 
 ((|HasCategory| |#2| (QUOTE (-374)))) 
 (-646 R) 
 ((|constructor| (NIL "\\axiom{JacobiIdentity} means that \\axiom{[\\spad{x},{}[\\spad{y},{}\\spad{z}]]+[\\spad{y},{}[\\spad{z},{}\\spad{x}]]+[\\spad{z},{}[\\spad{x},{}\\spad{y}]] = 0} holds.")) (/ (($ $ |#1|) "\\axiom{\\spad{x/r}} returns the division of \\axiom{\\spad{x}} by \\axiom{\\spad{r}}.")) (|construct| (($ $ $) "\\axiom{construct(\\spad{x},{}\\spad{y})} returns the Lie bracket of \\axiom{\\spad{x}} and \\axiom{\\spad{y}}."))) 
-((|JacobiIdentity| . T) (|NullSquare| . T) (-4459 . T) (-4458 . T)) 
+((|JacobiIdentity| . T) (|NullSquare| . T) (-4460 . T) (-4459 . T)) 
 NIL 
 (-647 R A) 
 ((|constructor| (NIL "AssociatedLieAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$A} to define the Lie bracket \\spad{a*b := (a *\\$A b - b *\\$A a)} (commutator). Note that the notation \\spad{[a,b]} cannot be used due to restrictions of the current compiler. This domain only gives a Lie algebra if the Jacobi-identity \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} holds for all \\spad{a},{}\\spad{b},{}\\spad{c} in \\spad{A}. This relation can be checked by \\spad{lieAdmissible?()\\$A}. \\blankline If the underlying algebra is of type \\spadtype{FramedNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank,{} together with a fixed \\spad{R}-module basis),{} then the same is \\spad{true} for the associated Lie algebra. Also,{} if the underlying algebra is of type \\spadtype{FiniteRankNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank),{} then the same is \\spad{true} for the associated Lie algebra.")) (|coerce| (($ |#2|) "\\spad{coerce(a)} coerces the element \\spad{a} of the algebra \\spad{A} to an element of the Lie algebra \\spadtype{AssociatedLieAlgebra}(\\spad{R},{}A)."))) 
-((-4461 -2758 (-2673 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4459 . T) (-4458 . T)) 
-((-2758 (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) 
+((-4462 -2760 (-2675 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4460 . T) (-4459 . T)) 
+((-2760 (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) 
 (-648 R FE) 
 ((|constructor| (NIL "PowerSeriesLimitPackage implements limits of expressions in one or more variables as one of the variables approaches a limiting value. Included are two-sided limits,{} left- and right- hand limits,{} and limits at plus or minus infinity.")) (|complexLimit| (((|Union| (|OnePointCompletion| |#2|) "failed") |#2| (|Equation| (|OnePointCompletion| |#2|))) "\\spad{complexLimit(f(x),x = a)} computes the complex limit \\spad{lim(x -> a,f(x))}.")) (|limit| (((|Union| (|OrderedCompletion| |#2|) "failed") |#2| (|Equation| |#2|) (|String|)) "\\spad{limit(f(x),x=a,\"left\")} computes the left hand real limit \\spad{lim(x -> a-,f(x))}; \\spad{limit(f(x),x=a,\"right\")} computes the right hand real limit \\spad{lim(x -> a+,f(x))}.") (((|Union| (|OrderedCompletion| |#2|) (|Record| (|:| |leftHandLimit| (|Union| (|OrderedCompletion| |#2|) "failed")) (|:| |rightHandLimit| (|Union| (|OrderedCompletion| |#2|) "failed"))) "failed") |#2| (|Equation| (|OrderedCompletion| |#2|))) "\\spad{limit(f(x),x = a)} computes the real limit \\spad{lim(x -> a,f(x))}."))) 
 NIL 
@@ -2531,7 +2531,7 @@ NIL
 (-650 S R) 
 ((|constructor| (NIL "Test for linear dependence.")) (|solveLinear| (((|Union| (|Vector| (|Fraction| |#1|)) "failed") (|Vector| |#2|) |#2|) "\\spad{solveLinear([v1,...,vn], u)} returns \\spad{[c1,...,cn]} such that \\spad{c1*v1 + ... + cn*vn = u},{} \"failed\" if no such \\spad{ci}\\spad{'s} exist in the quotient field of \\spad{S}.") (((|Union| (|Vector| |#1|) "failed") (|Vector| |#2|) |#2|) "\\spad{solveLinear([v1,...,vn], u)} returns \\spad{[c1,...,cn]} such that \\spad{c1*v1 + ... + cn*vn = u},{} \"failed\" if no such \\spad{ci}\\spad{'s} exist in \\spad{S}.")) (|linearDependence| (((|Union| (|Vector| |#1|) "failed") (|Vector| |#2|)) "\\spad{linearDependence([v1,...,vn])} returns \\spad{[c1,...,cn]} if \\spad{c1*v1 + ... + cn*vn = 0} and not all the \\spad{ci}\\spad{'s} are 0,{} \"failed\" if the \\spad{vi}\\spad{'s} are linearly independent over \\spad{S}.")) (|linearlyDependent?| (((|Boolean|) (|Vector| |#2|)) "\\spad{linearlyDependent?([v1,...,vn])} returns \\spad{true} if the \\spad{vi}\\spad{'s} are linearly dependent over \\spad{S},{} \\spad{false} otherwise."))) 
 NIL 
-((-2662 (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-374)))) 
+((-2663 (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-374)))) 
 (-651 R) 
 ((|constructor| (NIL "An extension of left-module with an explicit linear dependence test.")) (|reducedSystem| (((|Record| (|:| |mat| (|Matrix| |#1|)) (|:| |vec| (|Vector| |#1|))) (|Matrix| $) (|Vector| $)) "\\spad{reducedSystem(A, v)} returns a matrix \\spad{B} and a vector \\spad{w} such that \\spad{A x = v} and \\spad{B x = w} have the same solutions in \\spad{R}.") (((|Matrix| |#1|) (|Matrix| $)) "\\spad{reducedSystem(A)} returns a matrix \\spad{B} such that \\spad{A x = 0} and \\spad{B x = 0} have the same solutions in \\spad{R}.")) (|leftReducedSystem| (((|Record| (|:| |mat| (|Matrix| |#1|)) (|:| |vec| (|Vector| |#1|))) (|Vector| $) $) "\\spad{reducedSystem([v1,...,vn],u)} returns a matrix \\spad{M} with coefficients in \\spad{R} and a vector \\spad{w} such that the system of equations \\spad{c1*v1 + ... + cn*vn = u} has the same solution as \\spad{c * M = w} where \\spad{c} is the row vector \\spad{[c1,...cn]}.") (((|Matrix| |#1|) (|Vector| $)) "\\spad{leftReducedSystem [v1,...,vn]} returns a matrix \\spad{M} with coefficients in \\spad{R} such that the system of equations \\spad{c1*v1 + ... + cn*vn = 0\\$\\%} has the same solution as \\spad{c * M = 0} where \\spad{c} is the row vector \\spad{[c1,...cn]}."))) 
 NIL 
@@ -2554,8 +2554,8 @@ NIL
 NIL 
 (-656 S) 
 ((|constructor| (NIL "\\spadtype{List} implements singly-linked lists that are addressable by indices; the index of the first element is 1. In addition to the operations provided by \\spadtype{IndexedList},{} this constructor provides some LISP-like functions such as \\spadfun{null} and \\spadfun{cons}.")) (|setDifference| (($ $ $) "\\spad{setDifference(u1,u2)} returns a list of the elements of \\spad{u1} that are not also in \\spad{u2}. The order of elements in the resulting list is unspecified.")) (|setIntersection| (($ $ $) "\\spad{setIntersection(u1,u2)} returns a list of the elements that lists \\spad{u1} and \\spad{u2} have in common. The order of elements in the resulting list is unspecified.")) (|setUnion| (($ $ $) "\\spad{setUnion(u1,u2)} appends the two lists \\spad{u1} and \\spad{u2},{} then removes all duplicates. The order of elements in the resulting list is unspecified.")) (|append| (($ $ $) "\\spad{append(u1,u2)} appends the elements of list \\spad{u1} onto the front of list \\spad{u2}. This new list and \\spad{u2} will share some structure.")) (|cons| (($ |#1| $) "\\spad{cons(element,u)} appends \\spad{element} onto the front of list \\spad{u} and returns the new list. This new list and the old one will share some structure.")) (|null| (((|Boolean|) $) "\\spad{null(u)} tests if list \\spad{u} is the empty list.")) (|nil| (($) "\\spad{nil} is the empty list."))) 
-((-4465 . T) (-4464 . T)) 
-((-2758 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2758 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-840))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-4466 . T) (-4465 . T)) 
+((-2760 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2760 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-840))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
 (-657 T$) 
 ((|constructor| (NIL "This domain represents AST for Spad literals."))) 
 NIL 
@@ -2566,8 +2566,8 @@ NIL
 NIL 
 (-659 S) 
 ((|substitute| (($ |#1| |#1| $) "\\spad{substitute(x,y,d)} replace \\spad{x}\\spad{'s} with \\spad{y}\\spad{'s} in dictionary \\spad{d}.")) (|duplicates?| (((|Boolean|) $) "\\spad{duplicates?(d)} tests if dictionary \\spad{d} has duplicate entries."))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
 (-660 R) 
 ((|constructor| (NIL "The category of left modules over an \\spad{rng} (ring not necessarily with unit). This is an abelian group which supports left multiplation by elements of the \\spad{rng}. \\blankline"))) 
 NIL 
@@ -2579,22 +2579,22 @@ NIL
 (-662 A S) 
 ((|constructor| (NIL "A linear aggregate is an aggregate whose elements are indexed by integers. Examples of linear aggregates are strings,{} lists,{} and arrays. Most of the exported operations for linear aggregates are non-destructive but are not always efficient for a particular aggregate. For example,{} \\spadfun{concat} of two lists needs only to copy its first argument,{} whereas \\spadfun{concat} of two arrays needs to copy both arguments. Most of the operations exported here apply to infinite objects (\\spadignore{e.g.} streams) as well to finite ones. For finite linear aggregates,{} see \\spadtype{FiniteLinearAggregate}.")) (|setelt| ((|#2| $ (|UniversalSegment| (|Integer|)) |#2|) "\\spad{setelt(u,i..j,x)} (also written: \\axiom{\\spad{u}(\\spad{i}..\\spad{j}) \\spad{:=} \\spad{x}}) destructively replaces each element in the segment \\axiom{\\spad{u}(\\spad{i}..\\spad{j})} by \\spad{x}. The value \\spad{x} is returned. Note: \\spad{u} is destructively change so that \\axiom{\\spad{u}.\\spad{k} \\spad{:=} \\spad{x} for \\spad{k} in \\spad{i}..\\spad{j}}; its length remains unchanged.")) (|insert| (($ $ $ (|Integer|)) "\\spad{insert(v,u,k)} returns a copy of \\spad{u} having \\spad{v} inserted beginning at the \\axiom{\\spad{i}}th element. Note: \\axiom{insert(\\spad{v},{}\\spad{u},{}\\spad{k}) = concat( \\spad{u}(0..\\spad{k}-1),{} \\spad{v},{} \\spad{u}(\\spad{k}..) )}.") (($ |#2| $ (|Integer|)) "\\spad{insert(x,u,i)} returns a copy of \\spad{u} having \\spad{x} as its \\axiom{\\spad{i}}th element. Note: \\axiom{insert(\\spad{x},{}a,{}\\spad{k}) = concat(concat(a(0..\\spad{k}-1),{}\\spad{x}),{}a(\\spad{k}..))}.")) (|delete| (($ $ (|UniversalSegment| (|Integer|))) "\\spad{delete(u,i..j)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th through \\axiom{\\spad{j}}th element deleted. Note: \\axiom{delete(a,{}\\spad{i}..\\spad{j}) = concat(a(0..\\spad{i}-1),{}a(\\spad{j+1}..))}.") (($ $ (|Integer|)) "\\spad{delete(u,i)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th element deleted. Note: for lists,{} \\axiom{delete(a,{}\\spad{i}) \\spad{==} concat(a(0..\\spad{i} - 1),{}a(\\spad{i} + 1,{}..))}.")) (|map| (($ (|Mapping| |#2| |#2| |#2|) $ $) "\\spad{map(f,u,v)} returns a new collection \\spad{w} with elements \\axiom{\\spad{z} = \\spad{f}(\\spad{x},{}\\spad{y})} for corresponding elements \\spad{x} and \\spad{y} from \\spad{u} and \\spad{v}. Note: for linear aggregates,{} \\axiom{\\spad{w}.\\spad{i} = \\spad{f}(\\spad{u}.\\spad{i},{}\\spad{v}.\\spad{i})}.")) (|concat| (($ (|List| $)) "\\spad{concat(u)},{} where \\spad{u} is a lists of aggregates \\axiom{[a,{}\\spad{b},{}...,{}\\spad{c}]},{} returns a single aggregate consisting of the elements of \\axiom{a} followed by those of \\spad{b} followed ... by the elements of \\spad{c}. Note: \\axiom{concat(a,{}\\spad{b},{}...,{}\\spad{c}) = concat(a,{}concat(\\spad{b},{}...,{}\\spad{c}))}.") (($ $ $) "\\spad{concat(u,v)} returns an aggregate consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: if \\axiom{\\spad{w} = concat(\\spad{u},{}\\spad{v})} then \\axiom{\\spad{w}.\\spad{i} = \\spad{u}.\\spad{i} for \\spad{i} in indices \\spad{u}} and \\axiom{\\spad{w}.(\\spad{j} + maxIndex \\spad{u}) = \\spad{v}.\\spad{j} for \\spad{j} in indices \\spad{v}}.") (($ |#2| $) "\\spad{concat(x,u)} returns aggregate \\spad{u} with additional element at the front. Note: for lists: \\axiom{concat(\\spad{x},{}\\spad{u}) \\spad{==} concat([\\spad{x}],{}\\spad{u})}.") (($ $ |#2|) "\\spad{concat(u,x)} returns aggregate \\spad{u} with additional element \\spad{x} at the end. Note: for lists,{} \\axiom{concat(\\spad{u},{}\\spad{x}) \\spad{==} concat(\\spad{u},{}[\\spad{x}])}")) (|new| (($ (|NonNegativeInteger|) |#2|) "\\spad{new(n,x)} returns \\axiom{fill!(new \\spad{n},{}\\spad{x})}."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4465))) 
+((|HasAttribute| |#1| (QUOTE -4466))) 
 (-663 S) 
 ((|constructor| (NIL "A linear aggregate is an aggregate whose elements are indexed by integers. Examples of linear aggregates are strings,{} lists,{} and arrays. Most of the exported operations for linear aggregates are non-destructive but are not always efficient for a particular aggregate. For example,{} \\spadfun{concat} of two lists needs only to copy its first argument,{} whereas \\spadfun{concat} of two arrays needs to copy both arguments. Most of the operations exported here apply to infinite objects (\\spadignore{e.g.} streams) as well to finite ones. For finite linear aggregates,{} see \\spadtype{FiniteLinearAggregate}.")) (|setelt| ((|#1| $ (|UniversalSegment| (|Integer|)) |#1|) "\\spad{setelt(u,i..j,x)} (also written: \\axiom{\\spad{u}(\\spad{i}..\\spad{j}) \\spad{:=} \\spad{x}}) destructively replaces each element in the segment \\axiom{\\spad{u}(\\spad{i}..\\spad{j})} by \\spad{x}. The value \\spad{x} is returned. Note: \\spad{u} is destructively change so that \\axiom{\\spad{u}.\\spad{k} \\spad{:=} \\spad{x} for \\spad{k} in \\spad{i}..\\spad{j}}; its length remains unchanged.")) (|insert| (($ $ $ (|Integer|)) "\\spad{insert(v,u,k)} returns a copy of \\spad{u} having \\spad{v} inserted beginning at the \\axiom{\\spad{i}}th element. Note: \\axiom{insert(\\spad{v},{}\\spad{u},{}\\spad{k}) = concat( \\spad{u}(0..\\spad{k}-1),{} \\spad{v},{} \\spad{u}(\\spad{k}..) )}.") (($ |#1| $ (|Integer|)) "\\spad{insert(x,u,i)} returns a copy of \\spad{u} having \\spad{x} as its \\axiom{\\spad{i}}th element. Note: \\axiom{insert(\\spad{x},{}a,{}\\spad{k}) = concat(concat(a(0..\\spad{k}-1),{}\\spad{x}),{}a(\\spad{k}..))}.")) (|delete| (($ $ (|UniversalSegment| (|Integer|))) "\\spad{delete(u,i..j)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th through \\axiom{\\spad{j}}th element deleted. Note: \\axiom{delete(a,{}\\spad{i}..\\spad{j}) = concat(a(0..\\spad{i}-1),{}a(\\spad{j+1}..))}.") (($ $ (|Integer|)) "\\spad{delete(u,i)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th element deleted. Note: for lists,{} \\axiom{delete(a,{}\\spad{i}) \\spad{==} concat(a(0..\\spad{i} - 1),{}a(\\spad{i} + 1,{}..))}.")) (|map| (($ (|Mapping| |#1| |#1| |#1|) $ $) "\\spad{map(f,u,v)} returns a new collection \\spad{w} with elements \\axiom{\\spad{z} = \\spad{f}(\\spad{x},{}\\spad{y})} for corresponding elements \\spad{x} and \\spad{y} from \\spad{u} and \\spad{v}. Note: for linear aggregates,{} \\axiom{\\spad{w}.\\spad{i} = \\spad{f}(\\spad{u}.\\spad{i},{}\\spad{v}.\\spad{i})}.")) (|concat| (($ (|List| $)) "\\spad{concat(u)},{} where \\spad{u} is a lists of aggregates \\axiom{[a,{}\\spad{b},{}...,{}\\spad{c}]},{} returns a single aggregate consisting of the elements of \\axiom{a} followed by those of \\spad{b} followed ... by the elements of \\spad{c}. Note: \\axiom{concat(a,{}\\spad{b},{}...,{}\\spad{c}) = concat(a,{}concat(\\spad{b},{}...,{}\\spad{c}))}.") (($ $ $) "\\spad{concat(u,v)} returns an aggregate consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: if \\axiom{\\spad{w} = concat(\\spad{u},{}\\spad{v})} then \\axiom{\\spad{w}.\\spad{i} = \\spad{u}.\\spad{i} for \\spad{i} in indices \\spad{u}} and \\axiom{\\spad{w}.(\\spad{j} + maxIndex \\spad{u}) = \\spad{v}.\\spad{j} for \\spad{j} in indices \\spad{v}}.") (($ |#1| $) "\\spad{concat(x,u)} returns aggregate \\spad{u} with additional element at the front. Note: for lists: \\axiom{concat(\\spad{x},{}\\spad{u}) \\spad{==} concat([\\spad{x}],{}\\spad{u})}.") (($ $ |#1|) "\\spad{concat(u,x)} returns aggregate \\spad{u} with additional element \\spad{x} at the end. Note: for lists,{} \\axiom{concat(\\spad{u},{}\\spad{x}) \\spad{==} concat(\\spad{u},{}[\\spad{x}])}")) (|new| (($ (|NonNegativeInteger|) |#1|) "\\spad{new(n,x)} returns \\axiom{fill!(new \\spad{n},{}\\spad{x})}."))) 
 NIL 
 NIL 
-(-664 R -1959 L) 
+(-664 R -1962 L) 
 ((|constructor| (NIL "\\spad{ElementaryFunctionLODESolver} provides the top-level functions for finding closed form solutions of linear ordinary differential equations and initial value problems.")) (|solve| (((|Union| |#2| "failed") |#3| |#2| (|Symbol|) |#2| (|List| |#2|)) "\\spad{solve(op, g, x, a, [y0,...,ym])} returns either the solution of the initial value problem \\spad{op y = g, y(a) = y0, y'(a) = y1,...} or \"failed\" if the solution cannot be found; \\spad{x} is the dependent variable.") (((|Union| (|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) "failed") |#3| |#2| (|Symbol|)) "\\spad{solve(op, g, x)} returns either a solution of the ordinary differential equation \\spad{op y = g} or \"failed\" if no non-trivial solution can be found; When found,{} the solution is returned in the form \\spad{[h, [b1,...,bm]]} where \\spad{h} is a particular solution and and \\spad{[b1,...bm]} are linearly independent solutions of the associated homogenuous equation \\spad{op y = 0}. A full basis for the solutions of the homogenuous equation is not always returned,{} only the solutions which were found; \\spad{x} is the dependent variable."))) 
 NIL 
 NIL 
 (-665 A) 
 ((|constructor| (NIL "\\spad{LinearOrdinaryDifferentialOperator1} defines a ring of differential operators with coefficients in a differential ring A. Multiplication of operators corresponds to functional composition: \\indented{4}{\\spad{(L1 * L2).(f) = L1 L2 f}}"))) 
-((-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4459 . T) (-4460 . T) (-4462 . T)) 
 ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-374)))) 
 (-666 A M) 
 ((|constructor| (NIL "\\spad{LinearOrdinaryDifferentialOperator2} defines a ring of differential operators with coefficients in a differential ring A and acting on an A-module \\spad{M}. Multiplication of operators corresponds to functional composition: \\indented{4}{\\spad{(L1 * L2).(f) = L1 L2 f}}")) (|differentiate| (($ $) "\\spad{differentiate(x)} returns the derivative of \\spad{x}"))) 
-((-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4459 . T) (-4460 . T) (-4462 . T)) 
 ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-374)))) 
 (-667 S A) 
 ((|constructor| (NIL "\\spad{LinearOrdinaryDifferentialOperatorCategory} is the category of differential operators with coefficients in a ring A with a given derivation. Multiplication of operators corresponds to functional composition: \\indented{4}{\\spad{(L1 * L2).(f) = L1 L2 f}}")) (|directSum| (($ $ $) "\\spad{directSum(a,b)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the sums of a solution of \\spad{a} by a solution of \\spad{b}.")) (|symmetricSquare| (($ $) "\\spad{symmetricSquare(a)} computes \\spad{symmetricProduct(a,a)} using a more efficient method.")) (|symmetricPower| (($ $ (|NonNegativeInteger|)) "\\spad{symmetricPower(a,n)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of \\spad{n} solutions of \\spad{a}.")) (|symmetricProduct| (($ $ $) "\\spad{symmetricProduct(a,b)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of a solution of \\spad{a} by a solution of \\spad{b}.")) (|adjoint| (($ $) "\\spad{adjoint(a)} returns the adjoint operator of a.")) (D (($) "\\spad{D()} provides the operator corresponding to a derivation in the ring \\spad{A}."))) 
@@ -2602,15 +2602,15 @@ NIL
 ((|HasCategory| |#2| (QUOTE (-374)))) 
 (-668 A) 
 ((|constructor| (NIL "\\spad{LinearOrdinaryDifferentialOperatorCategory} is the category of differential operators with coefficients in a ring A with a given derivation. Multiplication of operators corresponds to functional composition: \\indented{4}{\\spad{(L1 * L2).(f) = L1 L2 f}}")) (|directSum| (($ $ $) "\\spad{directSum(a,b)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the sums of a solution of \\spad{a} by a solution of \\spad{b}.")) (|symmetricSquare| (($ $) "\\spad{symmetricSquare(a)} computes \\spad{symmetricProduct(a,a)} using a more efficient method.")) (|symmetricPower| (($ $ (|NonNegativeInteger|)) "\\spad{symmetricPower(a,n)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of \\spad{n} solutions of \\spad{a}.")) (|symmetricProduct| (($ $ $) "\\spad{symmetricProduct(a,b)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of a solution of \\spad{a} by a solution of \\spad{b}.")) (|adjoint| (($ $) "\\spad{adjoint(a)} returns the adjoint operator of a.")) (D (($) "\\spad{D()} provides the operator corresponding to a derivation in the ring \\spad{A}."))) 
-((-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
-(-669 -1959 UP) 
+(-669 -1962 UP) 
 ((|constructor| (NIL "\\spadtype{LinearOrdinaryDifferentialOperatorFactorizer} provides a factorizer for linear ordinary differential operators whose coefficients are rational functions.")) (|factor1| (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{factor1(a)} returns the factorisation of a,{} assuming that a has no first-order right factor.")) (|factor| (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{factor(a)} returns the factorisation of a.") (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{factor(a, zeros)} returns the factorisation of a. \\spad{zeros} is a zero finder in \\spad{UP}."))) 
 NIL 
 ((|HasCategory| |#1| (QUOTE (-27)))) 
-(-670 A -2221) 
+(-670 A -3850) 
 ((|constructor| (NIL "\\spad{LinearOrdinaryDifferentialOperator} defines a ring of differential operators with coefficients in a ring A with a given derivation. Multiplication of operators corresponds to functional composition: \\indented{4}{\\spad{(L1 * L2).(f) = L1 L2 f}}"))) 
-((-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4459 . T) (-4460 . T) (-4462 . T)) 
 ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-374)))) 
 (-671 A L) 
 ((|constructor| (NIL "\\spad{LinearOrdinaryDifferentialOperatorsOps} provides symmetric products and sums for linear ordinary differential operators.")) (|directSum| ((|#2| |#2| |#2| (|Mapping| |#1| |#1|)) "\\spad{directSum(a,b,D)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the sums of a solution of \\spad{a} by a solution of \\spad{b}. \\spad{D} is the derivation to use.")) (|symmetricPower| ((|#2| |#2| (|NonNegativeInteger|) (|Mapping| |#1| |#1|)) "\\spad{symmetricPower(a,n,D)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of \\spad{n} solutions of \\spad{a}. \\spad{D} is the derivation to use.")) (|symmetricProduct| ((|#2| |#2| |#2| (|Mapping| |#1| |#1|)) "\\spad{symmetricProduct(a,b,D)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of a solution of \\spad{a} by a solution of \\spad{b}. \\spad{D} is the derivation to use."))) 
@@ -2626,7 +2626,7 @@ NIL
 NIL 
 (-674 M R S) 
 ((|constructor| (NIL "Localize(\\spad{M},{}\\spad{R},{}\\spad{S}) produces fractions with numerators from an \\spad{R} module \\spad{M} and denominators from some multiplicative subset \\spad{D} of \\spad{R}.")) (|denom| ((|#3| $) "\\spad{denom x} returns the denominator of \\spad{x}.")) (|numer| ((|#1| $) "\\spad{numer x} returns the numerator of \\spad{x}.")) (/ (($ |#1| |#3|) "\\spad{m / d} divides the element \\spad{m} by \\spad{d}.") (($ $ |#3|) "\\spad{x / d} divides the element \\spad{x} by \\spad{d}."))) 
-((-4459 . T) (-4458 . T)) 
+((-4460 . T) (-4459 . T)) 
 ((|HasCategory| |#1| (QUOTE (-803)))) 
 (-675 R) 
 ((|constructor| (NIL "Given a PolynomialFactorizationExplicit ring,{} this package provides a defaulting rule for the \\spad{solveLinearPolynomialEquation} operation,{} by moving into the field of fractions,{} and solving it there via the \\spad{multiEuclidean} operation.")) (|solveLinearPolynomialEquationByFractions| (((|Union| (|List| (|SparseUnivariatePolynomial| |#1|)) "failed") (|List| (|SparseUnivariatePolynomial| |#1|)) (|SparseUnivariatePolynomial| |#1|)) "\\spad{solveLinearPolynomialEquationByFractions([f1, ..., fn], g)} (where the \\spad{fi} are relatively prime to each other) returns a list of \\spad{ai} such that \\spad{g/prod fi = sum ai/fi} or returns \"failed\" if no such exists."))) 
@@ -2634,7 +2634,7 @@ NIL
 NIL 
 (-676 |VarSet| R) 
 ((|constructor| (NIL "This type supports Lie polynomials in Lyndon basis see Free Lie Algebras by \\spad{C}. Reutenauer (Oxford science publications). \\newline Author: Michel Petitot (petitot@lifl.\\spad{fr}).")) (|construct| (($ $ (|LyndonWord| |#1|)) "\\axiom{construct(\\spad{x},{}\\spad{y})} returns the Lie bracket \\axiom{[\\spad{x},{}\\spad{y}]}.") (($ (|LyndonWord| |#1|) $) "\\axiom{construct(\\spad{x},{}\\spad{y})} returns the Lie bracket \\axiom{[\\spad{x},{}\\spad{y}]}.") (($ (|LyndonWord| |#1|) (|LyndonWord| |#1|)) "\\axiom{construct(\\spad{x},{}\\spad{y})} returns the Lie bracket \\axiom{[\\spad{x},{}\\spad{y}]}.")) (|LiePolyIfCan| (((|Union| $ "failed") (|XDistributedPolynomial| |#1| |#2|)) "\\axiom{LiePolyIfCan(\\spad{p})} returns \\axiom{\\spad{p}} in Lyndon basis if \\axiom{\\spad{p}} is a Lie polynomial,{} otherwise \\axiom{\"failed\"} is returned."))) 
-((|JacobiIdentity| . T) (|NullSquare| . T) (-4459 . T) (-4458 . T)) 
+((|JacobiIdentity| . T) (|NullSquare| . T) (-4460 . T) (-4459 . T)) 
 ((|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-174)))) 
 (-677 A S) 
 ((|constructor| (NIL "A list aggregate is a model for a linked list data structure. A linked list is a versatile data structure. Insertion and deletion are efficient and searching is a linear operation.")) (|list| (($ |#2|) "\\spad{list(x)} returns the list of one element \\spad{x}."))) 
@@ -2642,13 +2642,13 @@ NIL
 NIL 
 (-678 S) 
 ((|constructor| (NIL "A list aggregate is a model for a linked list data structure. A linked list is a versatile data structure. Insertion and deletion are efficient and searching is a linear operation.")) (|list| (($ |#1|) "\\spad{list(x)} returns the list of one element \\spad{x}."))) 
-((-4465 . T) (-4464 . T)) 
+((-4466 . T) (-4465 . T)) 
 NIL 
-(-679 -1959) 
+(-679 -1962) 
 ((|constructor| (NIL "This package solves linear system in the matrix form \\spad{AX = B}. It is essentially a particular instantiation of the package \\spadtype{LinearSystemMatrixPackage} for Matrix and Vector. This package\\spad{'s} existence makes it easier to use \\spadfun{solve} in the AXIOM interpreter.")) (|rank| (((|NonNegativeInteger|) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{rank(A,B)} computes the rank of the complete matrix \\spad{(A|B)} of the linear system \\spad{AX = B}.")) (|hasSolution?| (((|Boolean|) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{hasSolution?(A,B)} tests if the linear system \\spad{AX = B} has a solution.")) (|particularSolution| (((|Union| (|Vector| |#1|) "failed") (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{particularSolution(A,B)} finds a particular solution of the linear system \\spad{AX = B}.")) (|solve| (((|List| (|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|))))) (|List| (|List| |#1|)) (|List| (|Vector| |#1|))) "\\spad{solve(A,LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|List| (|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|))))) (|Matrix| |#1|) (|List| (|Vector| |#1|))) "\\spad{solve(A,LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|List| (|List| |#1|)) (|Vector| |#1|)) "\\spad{solve(A,B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}.") (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{solve(A,B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}."))) 
 NIL 
 NIL 
-(-680 -1959 |Row| |Col| M) 
+(-680 -1962 |Row| |Col| M) 
 ((|constructor| (NIL "This package solves linear system in the matrix form \\spad{AX = B}.")) (|rank| (((|NonNegativeInteger|) |#4| |#3|) "\\spad{rank(A,B)} computes the rank of the complete matrix \\spad{(A|B)} of the linear system \\spad{AX = B}.")) (|hasSolution?| (((|Boolean|) |#4| |#3|) "\\spad{hasSolution?(A,B)} tests if the linear system \\spad{AX = B} has a solution.")) (|particularSolution| (((|Union| |#3| "failed") |#4| |#3|) "\\spad{particularSolution(A,B)} finds a particular solution of the linear system \\spad{AX = B}.")) (|solve| (((|List| (|Record| (|:| |particular| (|Union| |#3| "failed")) (|:| |basis| (|List| |#3|)))) |#4| (|List| |#3|)) "\\spad{solve(A,LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|Record| (|:| |particular| (|Union| |#3| "failed")) (|:| |basis| (|List| |#3|))) |#4| |#3|) "\\spad{solve(A,B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}."))) 
 NIL 
 NIL 
@@ -2658,8 +2658,8 @@ NIL
 NIL 
 (-682 |n| R) 
 ((|constructor| (NIL "LieSquareMatrix(\\spad{n},{}\\spad{R}) implements the Lie algebra of the \\spad{n} by \\spad{n} matrices over the commutative ring \\spad{R}. The Lie bracket (commutator) of the algebra is given by \\spad{a*b := (a *\\$SQMATRIX(n,R) b - b *\\$SQMATRIX(n,R) a)},{} where \\spadfun{*\\$SQMATRIX(\\spad{n},{}\\spad{R})} is the usual matrix multiplication."))) 
-((-4461 . T) (-4464 . T) (-4458 . T) (-4459 . T)) 
-((|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (QUOTE (-237))) (|HasAttribute| |#2| (QUOTE (-4466 "*"))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2758 (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-568))) (-2758 (|HasAttribute| |#2| (QUOTE (-4466 "*"))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-238)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) 
+((-4462 . T) (-4465 . T) (-4459 . T) (-4460 . T)) 
+((|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (QUOTE (-237))) (|HasAttribute| |#2| (QUOTE (-4467 "*"))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2760 (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-568))) (-2760 (|HasAttribute| |#2| (QUOTE (-4467 "*"))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-238)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) 
 (-683) 
 ((|constructor| (NIL "This domain represents `literal sequence' syntax.")) (|elements| (((|List| (|SpadAst|)) $) "\\spad{elements(e)} returns the list of expressions in the `literal' list `e'."))) 
 NIL 
@@ -2679,7 +2679,7 @@ NIL
 (-687 R) 
 ((|constructor| (NIL "This domain represents three dimensional matrices over a general object type")) (|matrixDimensions| (((|Vector| (|NonNegativeInteger|)) $) "\\spad{matrixDimensions(x)} returns the dimensions of a matrix")) (|matrixConcat3D| (($ (|Symbol|) $ $) "\\spad{matrixConcat3D(s,x,y)} concatenates two 3-\\spad{D} matrices along a specified axis")) (|coerce| (((|PrimitiveArray| (|PrimitiveArray| (|PrimitiveArray| |#1|))) $) "\\spad{coerce(x)} moves from the domain to the representation type") (($ (|PrimitiveArray| (|PrimitiveArray| (|PrimitiveArray| |#1|)))) "\\spad{coerce(p)} moves from the representation type (PrimitiveArray PrimitiveArray PrimitiveArray \\spad{R}) to the domain")) (|setelt!| ((|#1| $ (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|) |#1|) "\\spad{setelt!(x,i,j,k,s)} (or \\spad{x}.\\spad{i}.\\spad{j}.k:=s) sets a specific element of the array to some value of type \\spad{R}")) (|elt| ((|#1| $ (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{elt(x,i,j,k)} extract an element from the matrix \\spad{x}")) (|construct| (($ (|List| (|List| (|List| |#1|)))) "\\spad{construct(lll)} creates a 3-\\spad{D} matrix from a List List List \\spad{R} \\spad{lll}")) (|plus| (($ $ $) "\\spad{plus(x,y)} adds two matrices,{} term by term we note that they must be the same size")) (|identityMatrix| (($ (|NonNegativeInteger|)) "\\spad{identityMatrix(n)} create an identity matrix we note that this must be square")) (|zeroMatrix| (($ (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{zeroMatrix(i,j,k)} create a matrix with all zero terms"))) 
 NIL 
-((-2758 (-12 (|HasCategory| |#1| (QUOTE (-1070))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1121))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (QUOTE (-1070))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-2760 (-12 (|HasCategory| |#1| (QUOTE (-1070))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (QUOTE (-1070))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
 (-688) 
 ((|constructor| (NIL "This domain represents the syntax of a macro definition.")) (|body| (((|SpadAst|) $) "\\spad{body(m)} returns the right hand side of the definition \\spad{`m'}.")) (|head| (((|HeadAst|) $) "\\spad{head(m)} returns the head of the macro definition \\spad{`m'}. This is a list of identifiers starting with the name of the macro followed by the name of the parameters,{} if any."))) 
 NIL 
@@ -2723,10 +2723,10 @@ NIL
 (-698 S R |Row| |Col|) 
 ((|constructor| (NIL "\\spadtype{MatrixCategory} is a general matrix category which allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and colums returned as objects of type Col. A domain belonging to this category will be shallowly mutable. The index of the 'first' row may be obtained by calling the function \\spadfun{minRowIndex}. The index of the 'first' column may be obtained by calling the function \\spadfun{minColIndex}. The index of the first element of a Row is the same as the index of the first column in a matrix and vice versa.")) (|inverse| (((|Union| $ "failed") $) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|minordet| ((|#2| $) "\\spad{minordet(m)} computes the determinant of the matrix \\spad{m} using minors. Error: if the matrix is not square.")) (|determinant| ((|#2| $) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}. Error: if the matrix is not square.")) (|nullSpace| (((|List| |#4|) $) "\\spad{nullSpace(m)} returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) $) "\\spad{nullity(m)} returns the nullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| (($ $) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.")) (/ (($ $ |#2|) "\\spad{m/r} divides the elements of \\spad{m} by \\spad{r}. Error: if \\spad{r = 0}.")) (|exquo| (((|Union| $ "failed") $ |#2|) "\\spad{exquo(m,r)} computes the exact quotient of the elements of \\spad{m} by \\spad{r},{} returning \\axiom{\"failed\"} if this is not possible.")) (** (($ $ (|Integer|)) "\\spad{m**n} computes an integral power of the matrix \\spad{m}. Error: if matrix is not square or if the matrix is square but not invertible.") (($ $ (|NonNegativeInteger|)) "\\spad{x ** n} computes a non-negative integral power of the matrix \\spad{x}. Error: if the matrix is not square.")) (* ((|#3| |#3| $) "\\spad{r * x} is the product of the row vector \\spad{r} and the matrix \\spad{x}. Error: if the dimensions are incompatible.") ((|#4| $ |#4|) "\\spad{x * c} is the product of the matrix \\spad{x} and the column vector \\spad{c}. Error: if the dimensions are incompatible.") (($ (|Integer|) $) "\\spad{n * x} is an integer multiple.") (($ $ |#2|) "\\spad{x * r} is the right scalar multiple of the scalar \\spad{r} and the matrix \\spad{x}.") (($ |#2| $) "\\spad{r*x} is the left scalar multiple of the scalar \\spad{r} and the matrix \\spad{x}.") (($ $ $) "\\spad{x * y} is the product of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (- (($ $) "\\spad{-x} returns the negative of the matrix \\spad{x}.") (($ $ $) "\\spad{x - y} is the difference of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (+ (($ $ $) "\\spad{x + y} is the sum of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (|setsubMatrix!| (($ $ (|Integer|) (|Integer|) $) "\\spad{setsubMatrix(x,i1,j1,y)} destructively alters the matrix \\spad{x}. Here \\spad{x(i,j)} is set to \\spad{y(i-i1+1,j-j1+1)} for \\spad{i = i1,...,i1-1+nrows y} and \\spad{j = j1,...,j1-1+ncols y}.")) (|subMatrix| (($ $ (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{subMatrix(x,i1,i2,j1,j2)} extracts the submatrix \\spad{[x(i,j)]} where the index \\spad{i} ranges from \\spad{i1} to \\spad{i2} and the index \\spad{j} ranges from \\spad{j1} to \\spad{j2}.")) (|swapColumns!| (($ $ (|Integer|) (|Integer|)) "\\spad{swapColumns!(m,i,j)} interchanges the \\spad{i}th and \\spad{j}th columns of \\spad{m}. This destructively alters the matrix.")) (|swapRows!| (($ $ (|Integer|) (|Integer|)) "\\spad{swapRows!(m,i,j)} interchanges the \\spad{i}th and \\spad{j}th rows of \\spad{m}. This destructively alters the matrix.")) (|setelt| (($ $ (|List| (|Integer|)) (|List| (|Integer|)) $) "\\spad{setelt(x,rowList,colList,y)} destructively alters the matrix \\spad{x}. If \\spad{y} is \\spad{m}-by-\\spad{n},{} \\spad{rowList = [i<1>,i<2>,...,i<m>]} and \\spad{colList = [j<1>,j<2>,...,j<n>]},{} then \\spad{x(i<k>,j<l>)} is set to \\spad{y(k,l)} for \\spad{k = 1,...,m} and \\spad{l = 1,...,n}.")) (|elt| (($ $ (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{elt(x,rowList,colList)} returns an \\spad{m}-by-\\spad{n} matrix consisting of elements of \\spad{x},{} where \\spad{m = \\# rowList} and \\spad{n = \\# colList}. If \\spad{rowList = [i<1>,i<2>,...,i<m>]} and \\spad{colList = [j<1>,j<2>,...,j<n>]},{} then the \\spad{(k,l)}th entry of \\spad{elt(x,rowList,colList)} is \\spad{x(i<k>,j<l>)}.")) (|listOfLists| (((|List| (|List| |#2|)) $) "\\spad{listOfLists(m)} returns the rows of the matrix \\spad{m} as a list of lists.")) (|vertConcat| (($ $ $) "\\spad{vertConcat(x,y)} vertically concatenates two matrices with an equal number of columns. The entries of \\spad{y} appear below of the entries of \\spad{x}. Error: if the matrices do not have the same number of columns.")) (|horizConcat| (($ $ $) "\\spad{horizConcat(x,y)} horizontally concatenates two matrices with an equal number of rows. The entries of \\spad{y} appear to the right of the entries of \\spad{x}. Error: if the matrices do not have the same number of rows.")) (|squareTop| (($ $) "\\spad{squareTop(m)} returns an \\spad{n}-by-\\spad{n} matrix consisting of the first \\spad{n} rows of the \\spad{m}-by-\\spad{n} matrix \\spad{m}. Error: if \\spad{m < n}.")) (|transpose| (($ $) "\\spad{transpose(m)} returns the transpose of the matrix \\spad{m}.") (($ |#3|) "\\spad{transpose(r)} converts the row \\spad{r} to a row matrix.")) (|coerce| (($ |#4|) "\\spad{coerce(col)} converts the column \\spad{col} to a column matrix.")) (|diagonalMatrix| (($ (|List| $)) "\\spad{diagonalMatrix([m1,...,mk])} creates a block diagonal matrix \\spad{M} with block matrices {\\em m1},{}...,{}{\\em mk} down the diagonal,{} with 0 block matrices elsewhere. More precisly: if \\spad{ri := nrows mi},{} \\spad{ci := ncols mi},{} then \\spad{m} is an (\\spad{r1+}..\\spad{+rk}) by (\\spad{c1+}..\\spad{+ck}) - matrix with entries \\spad{m.i.j = ml.(i-r1-..-r(l-1)).(j-n1-..-n(l-1))},{} if \\spad{(r1+..+r(l-1)) < i <= r1+..+rl} and \\spad{(c1+..+c(l-1)) < i <= c1+..+cl},{} \\spad{m.i.j} = 0 otherwise.") (($ (|List| |#2|)) "\\spad{diagonalMatrix(l)} returns a diagonal matrix with the elements of \\spad{l} on the diagonal.")) (|scalarMatrix| (($ (|NonNegativeInteger|) |#2|) "\\spad{scalarMatrix(n,r)} returns an \\spad{n}-by-\\spad{n} matrix with \\spad{r}\\spad{'s} on the diagonal and zeroes elsewhere.")) (|matrix| (($ (|NonNegativeInteger|) (|NonNegativeInteger|) (|Mapping| |#2| (|Integer|) (|Integer|))) "\\spad{matrix(n,m,f)} construcys and \\spad{n * m} matrix with the \\spad{(i,j)} entry equal to \\spad{f(i,j)}.") (($ (|List| (|List| |#2|))) "\\spad{matrix(l)} converts the list of lists \\spad{l} to a matrix,{} where the list of lists is viewed as a list of the rows of the matrix.")) (|zero| (($ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{zero(m,n)} returns an \\spad{m}-by-\\spad{n} zero matrix.")) (|antisymmetric?| (((|Boolean|) $) "\\spad{antisymmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and antisymmetric (\\spadignore{i.e.} \\spad{m[i,j] = -m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|symmetric?| (((|Boolean|) $) "\\spad{symmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and symmetric (\\spadignore{i.e.} \\spad{m[i,j] = m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|diagonal?| (((|Boolean|) $) "\\spad{diagonal?(m)} returns \\spad{true} if the matrix \\spad{m} is square and diagonal (\\spadignore{i.e.} all entries of \\spad{m} not on the diagonal are zero) and \\spad{false} otherwise.")) (|square?| (((|Boolean|) $) "\\spad{square?(m)} returns \\spad{true} if \\spad{m} is a square matrix (\\spadignore{i.e.} if \\spad{m} has the same number of rows as columns) and \\spad{false} otherwise.")) (|finiteAggregate| ((|attribute|) "matrices are finite")) (|shallowlyMutable| ((|attribute|) "One may destructively alter matrices"))) 
 NIL 
-((|HasAttribute| |#2| (QUOTE (-4466 "*"))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-568)))) 
+((|HasAttribute| |#2| (QUOTE (-4467 "*"))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-568)))) 
 (-699 R |Row| |Col|) 
 ((|constructor| (NIL "\\spadtype{MatrixCategory} is a general matrix category which allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and colums returned as objects of type Col. A domain belonging to this category will be shallowly mutable. The index of the 'first' row may be obtained by calling the function \\spadfun{minRowIndex}. The index of the 'first' column may be obtained by calling the function \\spadfun{minColIndex}. The index of the first element of a Row is the same as the index of the first column in a matrix and vice versa.")) (|inverse| (((|Union| $ "failed") $) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|minordet| ((|#1| $) "\\spad{minordet(m)} computes the determinant of the matrix \\spad{m} using minors. Error: if the matrix is not square.")) (|determinant| ((|#1| $) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}. Error: if the matrix is not square.")) (|nullSpace| (((|List| |#3|) $) "\\spad{nullSpace(m)} returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) $) "\\spad{nullity(m)} returns the nullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| (($ $) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.")) (/ (($ $ |#1|) "\\spad{m/r} divides the elements of \\spad{m} by \\spad{r}. Error: if \\spad{r = 0}.")) (|exquo| (((|Union| $ "failed") $ |#1|) "\\spad{exquo(m,r)} computes the exact quotient of the elements of \\spad{m} by \\spad{r},{} returning \\axiom{\"failed\"} if this is not possible.")) (** (($ $ (|Integer|)) "\\spad{m**n} computes an integral power of the matrix \\spad{m}. Error: if matrix is not square or if the matrix is square but not invertible.") (($ $ (|NonNegativeInteger|)) "\\spad{x ** n} computes a non-negative integral power of the matrix \\spad{x}. Error: if the matrix is not square.")) (* ((|#2| |#2| $) "\\spad{r * x} is the product of the row vector \\spad{r} and the matrix \\spad{x}. Error: if the dimensions are incompatible.") ((|#3| $ |#3|) "\\spad{x * c} is the product of the matrix \\spad{x} and the column vector \\spad{c}. Error: if the dimensions are incompatible.") (($ (|Integer|) $) "\\spad{n * x} is an integer multiple.") (($ $ |#1|) "\\spad{x * r} is the right scalar multiple of the scalar \\spad{r} and the matrix \\spad{x}.") (($ |#1| $) "\\spad{r*x} is the left scalar multiple of the scalar \\spad{r} and the matrix \\spad{x}.") (($ $ $) "\\spad{x * y} is the product of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (- (($ $) "\\spad{-x} returns the negative of the matrix \\spad{x}.") (($ $ $) "\\spad{x - y} is the difference of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (+ (($ $ $) "\\spad{x + y} is the sum of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (|setsubMatrix!| (($ $ (|Integer|) (|Integer|) $) "\\spad{setsubMatrix(x,i1,j1,y)} destructively alters the matrix \\spad{x}. Here \\spad{x(i,j)} is set to \\spad{y(i-i1+1,j-j1+1)} for \\spad{i = i1,...,i1-1+nrows y} and \\spad{j = j1,...,j1-1+ncols y}.")) (|subMatrix| (($ $ (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{subMatrix(x,i1,i2,j1,j2)} extracts the submatrix \\spad{[x(i,j)]} where the index \\spad{i} ranges from \\spad{i1} to \\spad{i2} and the index \\spad{j} ranges from \\spad{j1} to \\spad{j2}.")) (|swapColumns!| (($ $ (|Integer|) (|Integer|)) "\\spad{swapColumns!(m,i,j)} interchanges the \\spad{i}th and \\spad{j}th columns of \\spad{m}. This destructively alters the matrix.")) (|swapRows!| (($ $ (|Integer|) (|Integer|)) "\\spad{swapRows!(m,i,j)} interchanges the \\spad{i}th and \\spad{j}th rows of \\spad{m}. This destructively alters the matrix.")) (|setelt| (($ $ (|List| (|Integer|)) (|List| (|Integer|)) $) "\\spad{setelt(x,rowList,colList,y)} destructively alters the matrix \\spad{x}. If \\spad{y} is \\spad{m}-by-\\spad{n},{} \\spad{rowList = [i<1>,i<2>,...,i<m>]} and \\spad{colList = [j<1>,j<2>,...,j<n>]},{} then \\spad{x(i<k>,j<l>)} is set to \\spad{y(k,l)} for \\spad{k = 1,...,m} and \\spad{l = 1,...,n}.")) (|elt| (($ $ (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{elt(x,rowList,colList)} returns an \\spad{m}-by-\\spad{n} matrix consisting of elements of \\spad{x},{} where \\spad{m = \\# rowList} and \\spad{n = \\# colList}. If \\spad{rowList = [i<1>,i<2>,...,i<m>]} and \\spad{colList = [j<1>,j<2>,...,j<n>]},{} then the \\spad{(k,l)}th entry of \\spad{elt(x,rowList,colList)} is \\spad{x(i<k>,j<l>)}.")) (|listOfLists| (((|List| (|List| |#1|)) $) "\\spad{listOfLists(m)} returns the rows of the matrix \\spad{m} as a list of lists.")) (|vertConcat| (($ $ $) "\\spad{vertConcat(x,y)} vertically concatenates two matrices with an equal number of columns. The entries of \\spad{y} appear below of the entries of \\spad{x}. Error: if the matrices do not have the same number of columns.")) (|horizConcat| (($ $ $) "\\spad{horizConcat(x,y)} horizontally concatenates two matrices with an equal number of rows. The entries of \\spad{y} appear to the right of the entries of \\spad{x}. Error: if the matrices do not have the same number of rows.")) (|squareTop| (($ $) "\\spad{squareTop(m)} returns an \\spad{n}-by-\\spad{n} matrix consisting of the first \\spad{n} rows of the \\spad{m}-by-\\spad{n} matrix \\spad{m}. Error: if \\spad{m < n}.")) (|transpose| (($ $) "\\spad{transpose(m)} returns the transpose of the matrix \\spad{m}.") (($ |#2|) "\\spad{transpose(r)} converts the row \\spad{r} to a row matrix.")) (|coerce| (($ |#3|) "\\spad{coerce(col)} converts the column \\spad{col} to a column matrix.")) (|diagonalMatrix| (($ (|List| $)) "\\spad{diagonalMatrix([m1,...,mk])} creates a block diagonal matrix \\spad{M} with block matrices {\\em m1},{}...,{}{\\em mk} down the diagonal,{} with 0 block matrices elsewhere. More precisly: if \\spad{ri := nrows mi},{} \\spad{ci := ncols mi},{} then \\spad{m} is an (\\spad{r1+}..\\spad{+rk}) by (\\spad{c1+}..\\spad{+ck}) - matrix with entries \\spad{m.i.j = ml.(i-r1-..-r(l-1)).(j-n1-..-n(l-1))},{} if \\spad{(r1+..+r(l-1)) < i <= r1+..+rl} and \\spad{(c1+..+c(l-1)) < i <= c1+..+cl},{} \\spad{m.i.j} = 0 otherwise.") (($ (|List| |#1|)) "\\spad{diagonalMatrix(l)} returns a diagonal matrix with the elements of \\spad{l} on the diagonal.")) (|scalarMatrix| (($ (|NonNegativeInteger|) |#1|) "\\spad{scalarMatrix(n,r)} returns an \\spad{n}-by-\\spad{n} matrix with \\spad{r}\\spad{'s} on the diagonal and zeroes elsewhere.")) (|matrix| (($ (|NonNegativeInteger|) (|NonNegativeInteger|) (|Mapping| |#1| (|Integer|) (|Integer|))) "\\spad{matrix(n,m,f)} construcys and \\spad{n * m} matrix with the \\spad{(i,j)} entry equal to \\spad{f(i,j)}.") (($ (|List| (|List| |#1|))) "\\spad{matrix(l)} converts the list of lists \\spad{l} to a matrix,{} where the list of lists is viewed as a list of the rows of the matrix.")) (|zero| (($ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{zero(m,n)} returns an \\spad{m}-by-\\spad{n} zero matrix.")) (|antisymmetric?| (((|Boolean|) $) "\\spad{antisymmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and antisymmetric (\\spadignore{i.e.} \\spad{m[i,j] = -m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|symmetric?| (((|Boolean|) $) "\\spad{symmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and symmetric (\\spadignore{i.e.} \\spad{m[i,j] = m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|diagonal?| (((|Boolean|) $) "\\spad{diagonal?(m)} returns \\spad{true} if the matrix \\spad{m} is square and diagonal (\\spadignore{i.e.} all entries of \\spad{m} not on the diagonal are zero) and \\spad{false} otherwise.")) (|square?| (((|Boolean|) $) "\\spad{square?(m)} returns \\spad{true} if \\spad{m} is a square matrix (\\spadignore{i.e.} if \\spad{m} has the same number of rows as columns) and \\spad{false} otherwise.")) (|finiteAggregate| ((|attribute|) "matrices are finite")) (|shallowlyMutable| ((|attribute|) "One may destructively alter matrices"))) 
-((-4464 . T) (-4465 . T)) 
+((-4465 . T) (-4466 . T)) 
 NIL 
 (-700 R |Row| |Col| M) 
 ((|constructor| (NIL "\\spadtype{MatrixLinearAlgebraFunctions} provides functions to compute inverses and canonical forms.")) (|inverse| (((|Union| |#4| "failed") |#4|) "\\spad{inverse(m)} returns the inverse of the matrix. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|normalizedDivide| (((|Record| (|:| |quotient| |#1|) (|:| |remainder| |#1|)) |#1| |#1|) "\\spad{normalizedDivide(n,d)} returns a normalized quotient and remainder such that consistently unique representatives for the residue class are chosen,{} \\spadignore{e.g.} positive remainders")) (|rowEchelon| ((|#4| |#4|) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.")) (|adjoint| (((|Record| (|:| |adjMat| |#4|) (|:| |detMat| |#1|)) |#4|) "\\spad{adjoint(m)} returns the ajoint matrix of \\spad{m} (\\spadignore{i.e.} the matrix \\spad{n} such that \\spad{m*n} = determinant(\\spad{m})*id) and the detrminant of \\spad{m}.")) (|invertIfCan| (((|Union| |#4| "failed") |#4|) "\\spad{invertIfCan(m)} returns the inverse of \\spad{m} over \\spad{R}")) (|fractionFreeGauss!| ((|#4| |#4|) "\\spad{fractionFreeGauss(m)} performs the fraction free gaussian elimination on the matrix \\spad{m}.")) (|nullSpace| (((|List| |#3|) |#4|) "\\spad{nullSpace(m)} returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) |#4|) "\\spad{nullity(m)} returns the mullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) |#4|) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|elColumn2!| ((|#4| |#4| |#1| (|Integer|) (|Integer|)) "\\spad{elColumn2!(m,a,i,j)} adds to column \\spad{i} a*column(\\spad{m},{}\\spad{j}) : elementary operation of second kind. (\\spad{i} \\spad{~=j})")) (|elRow2!| ((|#4| |#4| |#1| (|Integer|) (|Integer|)) "\\spad{elRow2!(m,a,i,j)} adds to row \\spad{i} a*row(\\spad{m},{}\\spad{j}) : elementary operation of second kind. (\\spad{i} \\spad{~=j})")) (|elRow1!| ((|#4| |#4| (|Integer|) (|Integer|)) "\\spad{elRow1!(m,i,j)} swaps rows \\spad{i} and \\spad{j} of matrix \\spad{m} : elementary operation of first kind")) (|minordet| ((|#1| |#4|) "\\spad{minordet(m)} computes the determinant of the matrix \\spad{m} using minors. Error: if the matrix is not square.")) (|determinant| ((|#1| |#4|) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}. an error message is returned if the matrix is not square."))) 
@@ -2734,8 +2734,8 @@ NIL
 ((|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568)))) 
 (-701 R) 
 ((|constructor| (NIL "\\spadtype{Matrix} is a matrix domain where 1-based indexing is used for both rows and columns.")) (|inverse| (((|Union| $ "failed") $) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|diagonalMatrix| (($ (|Vector| |#1|)) "\\spad{diagonalMatrix(v)} returns a diagonal matrix where the elements of \\spad{v} appear on the diagonal."))) 
-((-4464 . T) (-4465 . T)) 
-((-2758 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1121))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4466 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-4465 . T) (-4466 . T)) 
+((-2760 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4467 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
 (-702 R) 
 ((|constructor| (NIL "This package provides standard arithmetic operations on matrices. The functions in this package store the results of computations in existing matrices,{} rather than creating new matrices. This package works only for matrices of type Matrix and uses the internal representation of this type.")) (** (((|Matrix| |#1|) (|Matrix| |#1|) (|NonNegativeInteger|)) "\\spad{x ** n} computes the \\spad{n}-th power of a square matrix. The power \\spad{n} is assumed greater than 1.")) (|power!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|NonNegativeInteger|)) "\\spad{power!(a,b,c,m,n)} computes \\spad{m} \\spad{**} \\spad{n} and stores the result in \\spad{a}. The matrices \\spad{b} and \\spad{c} are used to store intermediate results. Error: if \\spad{a},{} \\spad{b},{} \\spad{c},{} and \\spad{m} are not square and of the same dimensions.")) (|times!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{times!(c,a,b)} computes the matrix product \\spad{a * b} and stores the result in the matrix \\spad{c}. Error: if \\spad{a},{} \\spad{b},{} and \\spad{c} do not have compatible dimensions.")) (|rightScalarTimes!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rightScalarTimes!(c,a,r)} computes the scalar product \\spad{a * r} and stores the result in the matrix \\spad{c}. Error: if \\spad{a} and \\spad{c} do not have the same dimensions.")) (|leftScalarTimes!| (((|Matrix| |#1|) (|Matrix| |#1|) |#1| (|Matrix| |#1|)) "\\spad{leftScalarTimes!(c,r,a)} computes the scalar product \\spad{r * a} and stores the result in the matrix \\spad{c}. Error: if \\spad{a} and \\spad{c} do not have the same dimensions.")) (|minus!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{!minus!(c,a,b)} computes the matrix difference \\spad{a - b} and stores the result in the matrix \\spad{c}. Error: if \\spad{a},{} \\spad{b},{} and \\spad{c} do not have the same dimensions.") (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{minus!(c,a)} computes \\spad{-a} and stores the result in the matrix \\spad{c}. Error: if a and \\spad{c} do not have the same dimensions.")) (|plus!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{plus!(c,a,b)} computes the matrix sum \\spad{a + b} and stores the result in the matrix \\spad{c}. Error: if \\spad{a},{} \\spad{b},{} and \\spad{c} do not have the same dimensions.")) (|copy!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{copy!(c,a)} copies the matrix \\spad{a} into the matrix \\spad{c}. Error: if \\spad{a} and \\spad{c} do not have the same dimensions."))) 
 NIL 
@@ -2744,7 +2744,7 @@ NIL
 ((|constructor| (NIL "This domain implements the notion of optional value,{} where a computation may fail to produce expected value.")) (|nothing| (($) "\\spad{nothing} represents failure or absence of value.")) (|autoCoerce| ((|#1| $) "\\spad{autoCoerce} is a courtesy coercion function used by the compiler in case it knows that \\spad{`x'} really is a \\spadtype{T}.")) (|case| (((|Boolean|) $ (|[\|\|]| |nothing|)) "\\spad{x case nothing} holds if the value for \\spad{x} is missing.") (((|Boolean|) $ (|[\|\|]| |#1|)) "\\spad{x case T} returns \\spad{true} if \\spad{x} is actually a data of type \\spad{T}.")) (|just| (($ |#1|) "\\spad{just x} injects the value \\spad{`x'} into \\%."))) 
 NIL 
 NIL 
-(-704 S -1959 FLAF FLAS) 
+(-704 S -1962 FLAF FLAS) 
 ((|constructor| (NIL "\\indented{1}{\\spadtype{MultiVariableCalculusFunctions} Package provides several} \\indented{1}{functions for multivariable calculus.} These include gradient,{} hessian and jacobian,{} divergence and laplacian. Various forms for banded and sparse storage of matrices are included.")) (|bandedJacobian| (((|Matrix| |#2|) |#3| |#4| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{bandedJacobian(vf,xlist,kl,ku)} computes the jacobian,{} the matrix of first partial derivatives,{} of the vector field \\spad{vf},{} \\spad{vf} a vector function of the variables listed in \\spad{xlist},{} \\spad{kl} is the number of nonzero subdiagonals,{} \\spad{ku} is the number of nonzero superdiagonals,{} kl+ku+1 being actual bandwidth. Stores the nonzero band in a matrix,{} dimensions kl+ku+1 by \\#xlist. The upper triangle is in the top \\spad{ku} rows,{} the diagonal is in row ku+1,{} the lower triangle in the last \\spad{kl} rows. Entries in a column in the band store correspond to entries in same column of full store. (The notation conforms to LAPACK/NAG-\\spad{F07} conventions.)")) (|jacobian| (((|Matrix| |#2|) |#3| |#4|) "\\spad{jacobian(vf,xlist)} computes the jacobian,{} the matrix of first partial derivatives,{} of the vector field \\spad{vf},{} \\spad{vf} a vector function of the variables listed in \\spad{xlist}.")) (|bandedHessian| (((|Matrix| |#2|) |#2| |#4| (|NonNegativeInteger|)) "\\spad{bandedHessian(v,xlist,k)} computes the hessian,{} the matrix of second partial derivatives,{} of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist},{} \\spad{k} is the semi-bandwidth,{} the number of nonzero subdiagonals,{} 2*k+1 being actual bandwidth. Stores the nonzero band in lower triangle in a matrix,{} dimensions \\spad{k+1} by \\#xlist,{} whose rows are the vectors formed by diagonal,{} subdiagonal,{} etc. of the real,{} full-matrix,{} hessian. (The notation conforms to LAPACK/NAG-\\spad{F07} conventions.)")) (|hessian| (((|Matrix| |#2|) |#2| |#4|) "\\spad{hessian(v,xlist)} computes the hessian,{} the matrix of second partial derivatives,{} of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist}.")) (|laplacian| ((|#2| |#2| |#4|) "\\spad{laplacian(v,xlist)} computes the laplacian of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist}.")) (|divergence| ((|#2| |#3| |#4|) "\\spad{divergence(vf,xlist)} computes the divergence of the vector field \\spad{vf},{} \\spad{vf} a vector function of the variables listed in \\spad{xlist}.")) (|gradient| (((|Vector| |#2|) |#2| |#4|) "\\spad{gradient(v,xlist)} computes the gradient,{} the vector of first partial derivatives,{} of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist}."))) 
 NIL 
 NIL 
@@ -2754,11 +2754,11 @@ NIL
 NIL 
 (-706) 
 ((|constructor| (NIL "A domain which models the complex number representation used by machines in the AXIOM-NAG link.")) (|coerce| (((|Complex| (|Float|)) $) "\\spad{coerce(u)} transforms \\spad{u} into a COmplex Float") (($ (|Complex| (|MachineInteger|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|MachineFloat|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|Integer|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|Float|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex"))) 
-((-4457 . T) (-4462 |has| (-711) (-374)) (-4456 |has| (-711) (-374)) (-4177 . T) (-4463 |has| (-711) (-6 -4463)) (-4460 |has| (-711) (-6 -4460)) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| (-711) (QUOTE (-148))) (|HasCategory| (-711) (QUOTE (-146))) (|HasCategory| (-711) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-711) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-711) (QUOTE (-379))) (|HasCategory| (-711) (QUOTE (-374))) (-2758 (|HasCategory| (-711) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-711) (QUOTE (-238))) (|HasCategory| (-711) (QUOTE (-237))) (-2758 (-12 (|HasCategory| (-711) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (LIST (QUOTE -919) (QUOTE (-1197))))) (-2758 (|HasCategory| (-711) (QUOTE (-374))) (|HasCategory| (-711) (QUOTE (-360)))) (|HasCategory| (-711) (QUOTE (-360))) (|HasCategory| (-711) (LIST (QUOTE -296) (QUOTE (-711)) (QUOTE (-711)))) (|HasCategory| (-711) (LIST (QUOTE -319) (QUOTE (-711)))) (|HasCategory| (-711) (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE (-711)))) (|HasCategory| (-711) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-711) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-711) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-711) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (-2758 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-374))) (|HasCategory| (-711) (QUOTE (-360)))) (|HasCategory| (-711) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-711) (QUOTE (-1043))) (|HasCategory| (-711) (QUOTE (-1223))) (-12 (|HasCategory| (-711) (QUOTE (-1023))) (|HasCategory| (-711) (QUOTE (-1223)))) (-2758 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-374))) (-12 (|HasCategory| (-711) (QUOTE (-360))) (|HasCategory| (-711) (QUOTE (-928))))) (-2758 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (-12 (|HasCategory| (-711) (QUOTE (-374))) (|HasCategory| (-711) (QUOTE (-928)))) (-12 (|HasCategory| (-711) (QUOTE (-360))) (|HasCategory| (-711) (QUOTE (-928))))) (|HasCategory| (-711) (QUOTE (-557))) (-12 (|HasCategory| (-711) (QUOTE (-1081))) (|HasCategory| (-711) (QUOTE (-1223)))) (|HasCategory| (-711) (QUOTE (-1081))) (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928))) (-2758 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-374)))) (-2758 (-12 (|HasCategory| (-711) (QUOTE (-238))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (QUOTE (-237)))) (-2758 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-568)))) (-12 (|HasCategory| (-711) (QUOTE (-237))) (|HasCategory| (-711) (QUOTE (-374)))) (-12 (|HasCategory| (-711) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-711) (QUOTE (-374)))) (-12 (|HasCategory| (-711) (QUOTE (-238))) (|HasCategory| (-711) (QUOTE (-374)))) (-12 (|HasCategory| (-711) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-711) (QUOTE (-568))) (|HasAttribute| (-711) (QUOTE -4463)) (|HasAttribute| (-711) (QUOTE -4460)) (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (LIST (QUOTE -919) (QUOTE (-1197)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-146)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-360))))) 
+((-4458 . T) (-4463 |has| (-711) (-374)) (-4457 |has| (-711) (-374)) (-4178 . T) (-4464 |has| (-711) (-6 -4464)) (-4461 |has| (-711) (-6 -4461)) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| (-711) (QUOTE (-148))) (|HasCategory| (-711) (QUOTE (-146))) (|HasCategory| (-711) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-711) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-711) (QUOTE (-379))) (|HasCategory| (-711) (QUOTE (-374))) (-2760 (|HasCategory| (-711) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-711) (QUOTE (-238))) (|HasCategory| (-711) (QUOTE (-237))) (-2760 (-12 (|HasCategory| (-711) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (LIST (QUOTE -919) (QUOTE (-1197))))) (-2760 (|HasCategory| (-711) (QUOTE (-374))) (|HasCategory| (-711) (QUOTE (-360)))) (|HasCategory| (-711) (QUOTE (-360))) (|HasCategory| (-711) (LIST (QUOTE -296) (QUOTE (-711)) (QUOTE (-711)))) (|HasCategory| (-711) (LIST (QUOTE -319) (QUOTE (-711)))) (|HasCategory| (-711) (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE (-711)))) (|HasCategory| (-711) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-711) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-711) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-711) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (-2760 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-374))) (|HasCategory| (-711) (QUOTE (-360)))) (|HasCategory| (-711) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-711) (QUOTE (-1043))) (|HasCategory| (-711) (QUOTE (-1223))) (-12 (|HasCategory| (-711) (QUOTE (-1023))) (|HasCategory| (-711) (QUOTE (-1223)))) (-2760 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-374))) (-12 (|HasCategory| (-711) (QUOTE (-360))) (|HasCategory| (-711) (QUOTE (-928))))) (-2760 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (-12 (|HasCategory| (-711) (QUOTE (-374))) (|HasCategory| (-711) (QUOTE (-928)))) (-12 (|HasCategory| (-711) (QUOTE (-360))) (|HasCategory| (-711) (QUOTE (-928))))) (|HasCategory| (-711) (QUOTE (-557))) (-12 (|HasCategory| (-711) (QUOTE (-1081))) (|HasCategory| (-711) (QUOTE (-1223)))) (|HasCategory| (-711) (QUOTE (-1081))) (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928))) (-2760 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-374)))) (-2760 (-12 (|HasCategory| (-711) (QUOTE (-238))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (QUOTE (-237)))) (-2760 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-568)))) (-12 (|HasCategory| (-711) (QUOTE (-237))) (|HasCategory| (-711) (QUOTE (-374)))) (-12 (|HasCategory| (-711) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-711) (QUOTE (-374)))) (-12 (|HasCategory| (-711) (QUOTE (-238))) (|HasCategory| (-711) (QUOTE (-374)))) (-12 (|HasCategory| (-711) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-711) (QUOTE (-568))) (|HasAttribute| (-711) (QUOTE -4464)) (|HasAttribute| (-711) (QUOTE -4461)) (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (LIST (QUOTE -919) (QUOTE (-1197)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-146)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-360))))) 
 (-707 S) 
 ((|constructor| (NIL "A multi-dictionary is a dictionary which may contain duplicates. As for any dictionary,{} its size is assumed large so that copying (non-destructive) operations are generally to be avoided.")) (|duplicates| (((|List| (|Record| (|:| |entry| |#1|) (|:| |count| (|NonNegativeInteger|)))) $) "\\spad{duplicates(d)} returns a list of values which have duplicates in \\spad{d}")) (|removeDuplicates!| (($ $) "\\spad{removeDuplicates!(d)} destructively removes any duplicate values in dictionary \\spad{d}.")) (|insert!| (($ |#1| $ (|NonNegativeInteger|)) "\\spad{insert!(x,d,n)} destructively inserts \\spad{n} copies of \\spad{x} into dictionary \\spad{d}."))) 
-((-4465 . T)) 
+((-4466 . T)) 
 NIL 
 (-708 U) 
 ((|constructor| (NIL "This package supports factorization and gcds of univariate polynomials over the integers modulo different primes. The inputs are given as polynomials over the integers with the prime passed explicitly as an extra argument.")) (|exptMod| ((|#1| |#1| (|Integer|) |#1| (|Integer|)) "\\spad{exptMod(f,n,g,p)} raises the univariate polynomial \\spad{f} to the \\spad{n}th power modulo the polynomial \\spad{g} and the prime \\spad{p}.")) (|separateFactors| (((|List| |#1|) (|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|)))) (|Integer|)) "\\spad{separateFactors(ddl, p)} refines the distinct degree factorization produced by \\spadfunFrom{ddFact}{ModularDistinctDegreeFactorizer} to give a complete list of factors.")) (|ddFact| (((|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|)))) |#1| (|Integer|)) "\\spad{ddFact(f,p)} computes a distinct degree factorization of the polynomial \\spad{f} modulo the prime \\spad{p},{} \\spadignore{i.e.} such that each factor is a product of irreducibles of the same degrees. The input polynomial \\spad{f} is assumed to be square-free modulo \\spad{p}.")) (|factor| (((|List| |#1|) |#1| (|Integer|)) "\\spad{factor(f1,p)} returns the list of factors of the univariate polynomial \\spad{f1} modulo the integer prime \\spad{p}. Error: if \\spad{f1} is not square-free modulo \\spad{p}.")) (|linears| ((|#1| |#1| (|Integer|)) "\\spad{linears(f,p)} returns the product of all the linear factors of \\spad{f} modulo \\spad{p}. Potentially incorrect result if \\spad{f} is not square-free modulo \\spad{p}.")) (|gcd| ((|#1| |#1| |#1| (|Integer|)) "\\spad{gcd(f1,f2,p)} computes the \\spad{gcd} of the univariate polynomials \\spad{f1} and \\spad{f2} modulo the integer prime \\spad{p}."))) 
@@ -2768,13 +2768,13 @@ NIL
 ((|constructor| (NIL "\\indented{1}{<description of package>} Author: Jim Wen Date Created: \\spad{??} Date Last Updated: October 1991 by Jon Steinbach Keywords: Examples: References:")) (|ptFunc| (((|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) "\\spad{ptFunc(a,b,c,d)} is an internal function exported in order to compile packages.")) (|meshPar1Var| (((|ThreeSpace| (|DoubleFloat|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar1Var(s,t,u,f,s1,l)} \\undocumented")) (|meshFun2Var| (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Union| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "undefined") (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshFun2Var(f,g,s1,s2,l)} \\undocumented")) (|meshPar2Var| (((|ThreeSpace| (|DoubleFloat|)) (|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(sp,f,s1,s2,l)} \\undocumented") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(f,s1,s2,l)} \\undocumented") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Union| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "undefined") (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(f,g,h,j,s1,s2,l)} \\undocumented"))) 
 NIL 
 NIL 
-(-710 OV E -1959 PG) 
+(-710 OV E -1962 PG) 
 ((|constructor| (NIL "Package for factorization of multivariate polynomials over finite fields.")) (|factor| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factor(p)} produces the complete factorization of the multivariate polynomial \\spad{p} over a finite field. \\spad{p} is represented as a univariate polynomial with multivariate coefficients over a finite field.") (((|Factored| |#4|) |#4|) "\\spad{factor(p)} produces the complete factorization of the multivariate polynomial \\spad{p} over a finite field."))) 
 NIL 
 NIL 
 (-711) 
 ((|constructor| (NIL "A domain which models the floating point representation used by machines in the AXIOM-NAG link.")) (|changeBase| (($ (|Integer|) (|Integer|) (|PositiveInteger|)) "\\spad{changeBase(exp,man,base)} \\undocumented{}")) (|exponent| (((|Integer|) $) "\\spad{exponent(u)} returns the exponent of \\spad{u}")) (|mantissa| (((|Integer|) $) "\\spad{mantissa(u)} returns the mantissa of \\spad{u}")) (|coerce| (($ (|MachineInteger|)) "\\spad{coerce(u)} transforms a MachineInteger into a MachineFloat") (((|Float|) $) "\\spad{coerce(u)} transforms a MachineFloat to a standard Float")) (|minimumExponent| (((|Integer|)) "\\spad{minimumExponent()} returns the minimum exponent in the model") (((|Integer|) (|Integer|)) "\\spad{minimumExponent(e)} sets the minimum exponent in the model to \\spad{e}")) (|maximumExponent| (((|Integer|)) "\\spad{maximumExponent()} returns the maximum exponent in the model") (((|Integer|) (|Integer|)) "\\spad{maximumExponent(e)} sets the maximum exponent in the model to \\spad{e}")) (|base| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{base(b)} sets the base of the model to \\spad{b}")) (|precision| (((|PositiveInteger|)) "\\spad{precision()} returns the number of digits in the model") (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{precision(p)} sets the number of digits in the model to \\spad{p}"))) 
-((-4165 . T) (-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4166 . T) (-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-712 R) 
 ((|constructor| (NIL "\\indented{1}{Modular hermitian row reduction.} Author: Manuel Bronstein Date Created: 22 February 1989 Date Last Updated: 24 November 1993 Keywords: matrix,{} reduction.")) (|normalizedDivide| (((|Record| (|:| |quotient| |#1|) (|:| |remainder| |#1|)) |#1| |#1|) "\\spad{normalizedDivide(n,d)} returns a normalized quotient and remainder such that consistently unique representatives for the residue class are chosen,{} \\spadignore{e.g.} positive remainders")) (|rowEchelonLocal| (((|Matrix| |#1|) (|Matrix| |#1|) |#1| |#1|) "\\spad{rowEchelonLocal(m, d, p)} computes the row-echelon form of \\spad{m} concatenated with \\spad{d} times the identity matrix over a local ring where \\spad{p} is the only prime.")) (|rowEchLocal| (((|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rowEchLocal(m,p)} computes a modular row-echelon form of \\spad{m},{} finding an appropriate modulus over a local ring where \\spad{p} is the only prime.")) (|rowEchelon| (((|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rowEchelon(m, d)} computes a modular row-echelon form mod \\spad{d} of \\indented{3}{[\\spad{d}\\space{5}]} \\indented{3}{[\\space{2}\\spad{d}\\space{3}]} \\indented{3}{[\\space{4}. ]} \\indented{3}{[\\space{5}\\spad{d}]} \\indented{3}{[\\space{3}\\spad{M}\\space{2}]} where \\spad{M = m mod d}.")) (|rowEch| (((|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{rowEch(m)} computes a modular row-echelon form of \\spad{m},{} finding an appropriate modulus."))) 
@@ -2782,7 +2782,7 @@ NIL
 NIL 
 (-713) 
 ((|constructor| (NIL "A domain which models the integer representation used by machines in the AXIOM-NAG link.")) (|coerce| (((|Expression| $) (|Expression| (|Integer|))) "\\spad{coerce(x)} returns \\spad{x} with coefficients in the domain")) (|maxint| (((|PositiveInteger|)) "\\spad{maxint()} returns the maximum integer in the model") (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{maxint(u)} sets the maximum integer in the model to \\spad{u}"))) 
-((-4463 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4464 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-714 S D1 D2 I) 
 ((|constructor| (NIL "transforms top-level objects into compiled functions.")) (|compiledFunction| (((|Mapping| |#4| |#2| |#3|) |#1| (|Symbol|) (|Symbol|)) "\\spad{compiledFunction(expr,x,y)} returns a function \\spad{f: (D1, D2) -> I} defined by \\spad{f(x, y) == expr}. Function \\spad{f} is compiled and directly applicable to objects of type \\spad{(D1, D2)}")) (|binaryFunction| (((|Mapping| |#4| |#2| |#3|) (|Symbol|)) "\\spad{binaryFunction(s)} is a local function"))) 
@@ -2800,7 +2800,7 @@ NIL
 ((|constructor| (NIL "MakeRecord is used internally by the interpreter to create record types which are used for doing parallel iterations on streams.")) (|makeRecord| (((|Record| (|:| |part1| |#1|) (|:| |part2| |#2|)) |#1| |#2|) "\\spad{makeRecord(a,b)} creates a record object with type Record(part1:S,{} part2:R),{} where part1 is \\spad{a} and part2 is \\spad{b}."))) 
 NIL 
 NIL 
-(-718 S -2018 I) 
+(-718 S -2020 I) 
 ((|constructor| (NIL "transforms top-level objects into compiled functions.")) (|compiledFunction| (((|Mapping| |#3| |#2|) |#1| (|Symbol|)) "\\spad{compiledFunction(expr, x)} returns a function \\spad{f: D -> I} defined by \\spad{f(x) == expr}. Function \\spad{f} is compiled and directly applicable to objects of type \\spad{D}.")) (|unaryFunction| (((|Mapping| |#3| |#2|) (|Symbol|)) "\\spad{unaryFunction(a)} is a local function"))) 
 NIL 
 NIL 
@@ -2810,7 +2810,7 @@ NIL
 NIL 
 (-720 R) 
 ((|constructor| (NIL "This is the category of linear operator rings with one generator. The generator is not named by the category but can always be constructed as \\spad{monomial(1,1)}. \\blankline For convenience,{} call the generator \\spad{G}. Then each value is equal to \\indented{4}{\\spad{sum(a(i)*G**i, i = 0..n)}} for some unique \\spad{n} and \\spad{a(i)} in \\spad{R}. \\blankline Note that multiplication is not necessarily commutative. In fact,{} if \\spad{a} is in \\spad{R},{} it is quite normal to have \\spad{a*G \\~= G*a}.")) (|monomial| (($ |#1| (|NonNegativeInteger|)) "\\spad{monomial(c,k)} produces \\spad{c} times the \\spad{k}-th power of the generating operator,{} \\spad{monomial(1,1)}.")) (|coefficient| ((|#1| $ (|NonNegativeInteger|)) "\\spad{coefficient(l,k)} is \\spad{a(k)} if \\indented{2}{\\spad{l = sum(monomial(a(i),i), i = 0..n)}.}")) (|reductum| (($ $) "\\spad{reductum(l)} is \\spad{l - monomial(a(n),n)} if \\indented{2}{\\spad{l = sum(monomial(a(i),i), i = 0..n)}.}")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(l)} is \\spad{a(n)} if \\indented{2}{\\spad{l = sum(monomial(a(i),i), i = 0..n)}.}")) (|minimumDegree| (((|NonNegativeInteger|) $) "\\spad{minimumDegree(l)} is the smallest \\spad{k} such that \\spad{a(k) \\~= 0} if \\indented{2}{\\spad{l = sum(monomial(a(i),i), i = 0..n)}.}")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(l)} is \\spad{n} if \\indented{2}{\\spad{l = sum(monomial(a(i),i), i = 0..n)}.}"))) 
-((-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-721 R1 UP1 UPUP1 R2 UP2 UPUP2) 
 ((|constructor| (NIL "Lifting of a map through 2 levels of polynomials.")) (|map| ((|#6| (|Mapping| |#4| |#1|) |#3|) "\\spad{map(f, p)} lifts \\spad{f} to the domain of \\spad{p} then applies it to \\spad{p}."))) 
@@ -2820,25 +2820,25 @@ NIL
 ((|constructor| (NIL "\\spadtype{MathMLFormat} provides a coercion from \\spadtype{OutputForm} to MathML format.")) (|display| (((|Void|) (|String|)) "prints the string returned by coerce,{} adding <math ...> tags.")) (|exprex| (((|String|) (|OutputForm|)) "coverts \\spadtype{OutputForm} to \\spadtype{String} with the structure preserved with braces. Actually this is not quite accurate. The function \\spadfun{precondition} is first applied to the \\spadtype{OutputForm} expression before \\spadfun{exprex}. The raw \\spadtype{OutputForm} and the nature of the \\spadfun{precondition} function is still obscure to me at the time of this writing (2007-02-14).")) (|coerceL| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format and displays result as one long string.")) (|coerceS| (((|String|) (|OutputForm|)) "\\spad{coerceS(o)} changes \\spad{o} in the standard output format to MathML format and displays formatted result.")) (|coerce| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format."))) 
 NIL 
 NIL 
-(-723 R |Mod| -2391 -4335 |exactQuo|) 
+(-723 R |Mod| -1765 -3391 |exactQuo|) 
 ((|constructor| (NIL "\\indented{1}{These domains are used for the factorization and gcds} of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{ModularRing},{} \\spadtype{EuclideanModularRing}")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,y)} \\undocumented")) (|reduce| (($ |#1| |#2|) "\\spad{reduce(r,m)} \\undocumented")) (|coerce| ((|#1| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#2| $) "\\spad{modulus(x)} \\undocumented"))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-724 R |Rep|) 
 ((|constructor| (NIL "This package \\undocumented")) (|frobenius| (($ $) "\\spad{frobenius(x)} \\undocumented")) (|computePowers| (((|PrimitiveArray| $)) "\\spad{computePowers()} \\undocumented")) (|pow| (((|PrimitiveArray| $)) "\\spad{pow()} \\undocumented")) (|An| (((|Vector| |#1|) $) "\\spad{An(x)} \\undocumented")) (|UnVectorise| (($ (|Vector| |#1|)) "\\spad{UnVectorise(v)} \\undocumented")) (|Vectorise| (((|Vector| |#1|) $) "\\spad{Vectorise(x)} \\undocumented")) (|lift| ((|#2| $) "\\spad{lift(x)} \\undocumented")) (|reduce| (($ |#2|) "\\spad{reduce(x)} \\undocumented")) (|modulus| ((|#2|) "\\spad{modulus()} \\undocumented")) (|setPoly| ((|#2| |#2|) "\\spad{setPoly(x)} \\undocumented"))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4460 |has| |#1| (-374)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) 
-((|HasCategory| |#1| (QUOTE (-928))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2758 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2758 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2758 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-1173))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-238))) (|HasAttribute| |#1| (QUOTE -4462)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4461 |has| |#1| (-374)) (-4463 |has| |#1| (-6 -4463)) (-4460 . T) (-4459 . T) (-4462 . T)) 
+((|HasCategory| |#1| (QUOTE (-928))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2760 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2760 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2760 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-1173))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-238))) (|HasAttribute| |#1| (QUOTE -4463)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) 
 (-725 IS E |ff|) 
 ((|constructor| (NIL "This package \\undocumented")) (|construct| (($ |#1| |#2|) "\\spad{construct(i,e)} \\undocumented")) (|index| ((|#1| $) "\\spad{index(x)} \\undocumented")) (|exponent| ((|#2| $) "\\spad{exponent(x)} \\undocumented"))) 
 NIL 
 NIL 
 (-726 R M) 
 ((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#1| (|FreeGroup| (|BasicOperator|))) "\\spad{makeop should} be local but conditional")) (|opeval| ((|#2| (|BasicOperator|) |#2|) "\\spad{opeval should} be local but conditional")) (** (($ $ (|Integer|)) "\\spad{op**n} \\undocumented") (($ (|BasicOperator|) (|Integer|)) "\\spad{op**n} \\undocumented")) (|evaluateInverse| (($ $ (|Mapping| |#2| |#2|)) "\\spad{evaluateInverse(x,f)} \\undocumented")) (|evaluate| (($ $ (|Mapping| |#2| |#2|)) "\\spad{evaluate(f, u +-> g u)} attaches the map \\spad{g} to \\spad{f}. \\spad{f} must be a basic operator \\spad{g} MUST be additive,{} \\spadignore{i.e.} \\spad{g(a + b) = g(a) + g(b)} for any \\spad{a},{} \\spad{b} in \\spad{M}. This implies that \\spad{g(n a) = n g(a)} for any \\spad{a} in \\spad{M} and integer \\spad{n > 0}.")) (|conjug| ((|#1| |#1|) "\\spad{conjug(x)}should be local but conditional")) (|adjoint| (($ $ $) "\\spad{adjoint(op1, op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) 
-((-4459 |has| |#1| (-174)) (-4458 |has| |#1| (-174)) (-4461 . T)) 
+((-4460 |has| |#1| (-174)) (-4459 |has| |#1| (-174)) (-4462 . T)) 
 ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148)))) 
-(-727 R |Mod| -2391 -4335 |exactQuo|) 
+(-727 R |Mod| -1765 -3391 |exactQuo|) 
 ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\spad{inv(x)} \\undocumented")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} \\undocumented")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,y)} \\undocumented")) (|reduce| (($ |#1| |#2|) "\\spad{reduce(r,m)} \\undocumented")) (|coerce| ((|#1| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#2| $) "\\spad{modulus(x)} \\undocumented"))) 
-((-4461 . T)) 
+((-4462 . T)) 
 NIL 
 (-728 S R) 
 ((|constructor| (NIL "The category of modules over a commutative ring. \\blankline"))) 
@@ -2846,11 +2846,11 @@ NIL
 NIL 
 (-729 R) 
 ((|constructor| (NIL "The category of modules over a commutative ring. \\blankline"))) 
-((-4459 . T) (-4458 . T)) 
+((-4460 . T) (-4459 . T)) 
 NIL 
-(-730 -1959) 
+(-730 -1962) 
 ((|constructor| (NIL "\\indented{1}{MoebiusTransform(\\spad{F}) is the domain of fractional linear (Moebius)} transformations over \\spad{F}.")) (|eval| (((|OnePointCompletion| |#1|) $ (|OnePointCompletion| |#1|)) "\\spad{eval(m,x)} returns \\spad{(a*x + b)/(c*x + d)} where \\spad{m = moebius(a,b,c,d)} (see \\spadfunFrom{moebius}{MoebiusTransform}).") ((|#1| $ |#1|) "\\spad{eval(m,x)} returns \\spad{(a*x + b)/(c*x + d)} where \\spad{m = moebius(a,b,c,d)} (see \\spadfunFrom{moebius}{MoebiusTransform}).")) (|recip| (($ $) "\\spad{recip(m)} = recip() * \\spad{m}") (($) "\\spad{recip()} returns \\spad{matrix [[0,1],[1,0]]} representing the map \\spad{x -> 1 / x}.")) (|scale| (($ $ |#1|) "\\spad{scale(m,h)} returns \\spad{scale(h) * m} (see \\spadfunFrom{shift}{MoebiusTransform}).") (($ |#1|) "\\spad{scale(k)} returns \\spad{matrix [[k,0],[0,1]]} representing the map \\spad{x -> k * x}.")) (|shift| (($ $ |#1|) "\\spad{shift(m,h)} returns \\spad{shift(h) * m} (see \\spadfunFrom{shift}{MoebiusTransform}).") (($ |#1|) "\\spad{shift(k)} returns \\spad{matrix [[1,k],[0,1]]} representing the map \\spad{x -> x + k}.")) (|moebius| (($ |#1| |#1| |#1| |#1|) "\\spad{moebius(a,b,c,d)} returns \\spad{matrix [[a,b],[c,d]]}."))) 
-((-4461 . T)) 
+((-4462 . T)) 
 NIL 
 (-731 S) 
 ((|constructor| (NIL "Monad is the class of all multiplicative monads,{} \\spadignore{i.e.} sets with a binary operation.")) (** (($ $ (|PositiveInteger|)) "\\spad{a**n} returns the \\spad{n}\\spad{-}th power of \\spad{a},{} defined by repeated squaring.")) (|leftPower| (($ $ (|PositiveInteger|)) "\\spad{leftPower(a,n)} returns the \\spad{n}\\spad{-}th left power of \\spad{a},{} \\spadignore{i.e.} \\spad{leftPower(a,n) := a * leftPower(a,n-1)} and \\spad{leftPower(a,1) := a}.")) (|rightPower| (($ $ (|PositiveInteger|)) "\\spad{rightPower(a,n)} returns the \\spad{n}\\spad{-}th right power of \\spad{a},{} \\spadignore{i.e.} \\spad{rightPower(a,n) := rightPower(a,n-1) * a} and \\spad{rightPower(a,1) := a}.")) (* (($ $ $) "\\spad{a*b} is the product of \\spad{a} and \\spad{b} in a set with a binary operation."))) 
@@ -2874,7 +2874,7 @@ NIL
 ((|HasCategory| |#2| (QUOTE (-360))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-379)))) 
 (-736 R UP) 
 ((|constructor| (NIL "A \\spadtype{MonogenicAlgebra} is an algebra of finite rank which can be generated by a single element.")) (|derivationCoordinates| (((|Matrix| |#1|) (|Vector| $) (|Mapping| |#1| |#1|)) "\\spad{derivationCoordinates(b, ')} returns \\spad{M} such that \\spad{b' = M b}.")) (|lift| ((|#2| $) "\\spad{lift(z)} returns a minimal degree univariate polynomial up such that \\spad{z=reduce up}.")) (|convert| (($ |#2|) "\\spad{convert(up)} converts the univariate polynomial \\spad{up} to an algebra element,{} reducing by the \\spad{definingPolynomial()} if necessary.")) (|reduce| (((|Union| $ "failed") (|Fraction| |#2|)) "\\spad{reduce(frac)} converts the fraction \\spad{frac} to an algebra element.") (($ |#2|) "\\spad{reduce(up)} converts the univariate polynomial \\spad{up} to an algebra element,{} reducing by the \\spad{definingPolynomial()} if necessary.")) (|definingPolynomial| ((|#2|) "\\spad{definingPolynomial()} returns the minimal polynomial which \\spad{generator()} satisfies.")) (|generator| (($) "\\spad{generator()} returns the generator for this domain."))) 
-((-4457 |has| |#1| (-374)) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4458 |has| |#1| (-374)) (-4463 |has| |#1| (-374)) (-4457 |has| |#1| (-374)) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-737 S) 
 ((|constructor| (NIL "The class of multiplicative monoids,{} \\spadignore{i.e.} semigroups with a multiplicative identity element. \\blankline")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} tries to compute the multiplicative inverse for \\spad{x} or \"failed\" if it cannot find the inverse (see unitsKnown).")) (** (($ $ (|NonNegativeInteger|)) "\\spad{x**n} returns the repeated product of \\spad{x} \\spad{n} times,{} \\spadignore{i.e.} exponentiation.")) (|one?| (((|Boolean|) $) "\\spad{one?(x)} tests if \\spad{x} is equal to 1.")) (|sample| (($) "\\spad{sample yields} a value of type \\%")) ((|One|) (($) "1 is the multiplicative identity."))) 
@@ -2884,7 +2884,7 @@ NIL
 ((|constructor| (NIL "The class of multiplicative monoids,{} \\spadignore{i.e.} semigroups with a multiplicative identity element. \\blankline")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} tries to compute the multiplicative inverse for \\spad{x} or \"failed\" if it cannot find the inverse (see unitsKnown).")) (** (($ $ (|NonNegativeInteger|)) "\\spad{x**n} returns the repeated product of \\spad{x} \\spad{n} times,{} \\spadignore{i.e.} exponentiation.")) (|one?| (((|Boolean|) $) "\\spad{one?(x)} tests if \\spad{x} is equal to 1.")) (|sample| (($) "\\spad{sample yields} a value of type \\%")) ((|One|) (($) "1 is the multiplicative identity."))) 
 NIL 
 NIL 
-(-739 -1959 UP) 
+(-739 -1962 UP) 
 ((|constructor| (NIL "Tools for handling monomial extensions.")) (|decompose| (((|Record| (|:| |poly| |#2|) (|:| |normal| (|Fraction| |#2|)) (|:| |special| (|Fraction| |#2|))) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{decompose(f, D)} returns \\spad{[p,n,s]} such that \\spad{f = p+n+s},{} all the squarefree factors of \\spad{denom(n)} are normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} \\spad{denom(s)} is special \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} and \\spad{n} and \\spad{s} are proper fractions (no pole at infinity). \\spad{D} is the derivation to use.")) (|normalDenom| ((|#2| (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{normalDenom(f, D)} returns the product of all the normal factors of \\spad{denom(f)}. \\spad{D} is the derivation to use.")) (|splitSquarefree| (((|Record| (|:| |normal| (|Factored| |#2|)) (|:| |special| (|Factored| |#2|))) |#2| (|Mapping| |#2| |#2|)) "\\spad{splitSquarefree(p, D)} returns \\spad{[n_1 n_2\\^2 ... n_m\\^m, s_1 s_2\\^2 ... s_q\\^q]} such that \\spad{p = n_1 n_2\\^2 ... n_m\\^m s_1 s_2\\^2 ... s_q\\^q},{} each \\spad{n_i} is normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D} and each \\spad{s_i} is special \\spad{w}.\\spad{r}.\\spad{t} \\spad{D}. \\spad{D} is the derivation to use.")) (|split| (((|Record| (|:| |normal| |#2|) (|:| |special| |#2|)) |#2| (|Mapping| |#2| |#2|)) "\\spad{split(p, D)} returns \\spad{[n,s]} such that \\spad{p = n s},{} all the squarefree factors of \\spad{n} are normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} and \\spad{s} is special \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D}. \\spad{D} is the derivation to use."))) 
 NIL 
 NIL 
@@ -2902,8 +2902,8 @@ NIL
 NIL 
 (-743 |vl| R) 
 ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials whose variables are from a user specified list of symbols. The ordering is specified by the position of the variable in the list. The coefficient ring may be non commutative,{} but the variables are assumed to commute."))) 
-(((-4466 "*") |has| |#2| (-174)) (-4457 |has| |#2| (-568)) (-4462 |has| |#2| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) 
-((|HasCategory| |#2| (QUOTE (-928))) (-2758 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2758 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2758 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (-2758 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-568)))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2758 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374))) (|HasAttribute| |#2| (QUOTE -4462)) (|HasCategory| |#2| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-146))))) 
+(((-4467 "*") |has| |#2| (-174)) (-4458 |has| |#2| (-568)) (-4463 |has| |#2| (-6 -4463)) (-4460 . T) (-4459 . T) (-4462 . T)) 
+((|HasCategory| |#2| (QUOTE (-928))) (-2760 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2760 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2760 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (-2760 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-568)))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2760 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374))) (|HasAttribute| |#2| (QUOTE -4463)) (|HasCategory| |#2| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-146))))) 
 (-744 E OV R PRF) 
 ((|constructor| (NIL "\\indented{3}{This package exports a factor operation for multivariate polynomials} with coefficients which are rational functions over some ring \\spad{R} over which we can factor. It is used internally by packages such as primary decomposition which need to work with polynomials with rational function coefficients,{} \\spadignore{i.e.} themselves fractions of polynomials.")) (|factor| (((|Factored| |#4|) |#4|) "\\spad{factor(prf)} factors a polynomial with rational function coefficients.")) (|pushuconst| ((|#4| (|Fraction| (|Polynomial| |#3|)) |#2|) "\\spad{pushuconst(r,var)} takes a rational function and raises all occurances of the variable \\spad{var} to the polynomial level.")) (|pushucoef| ((|#4| (|SparseUnivariatePolynomial| (|Polynomial| |#3|)) |#2|) "\\spad{pushucoef(upoly,var)} converts the anonymous univariate polynomial \\spad{upoly} to a polynomial in \\spad{var} over rational functions.")) (|pushup| ((|#4| |#4| |#2|) "\\spad{pushup(prf,var)} raises all occurences of the variable \\spad{var} in the coefficients of the polynomial \\spad{prf} back to the polynomial level.")) (|pushdterm| ((|#4| (|SparseUnivariatePolynomial| |#4|) |#2|) "\\spad{pushdterm(monom,var)} pushes all top level occurences of the variable \\spad{var} into the coefficient domain for the monomial \\spad{monom}.")) (|pushdown| ((|#4| |#4| |#2|) "\\spad{pushdown(prf,var)} pushes all top level occurences of the variable \\spad{var} into the coefficient domain for the polynomial \\spad{prf}.")) (|totalfract| (((|Record| (|:| |sup| (|Polynomial| |#3|)) (|:| |inf| (|Polynomial| |#3|))) |#4|) "\\spad{totalfract(prf)} takes a polynomial whose coefficients are themselves fractions of polynomials and returns a record containing the numerator and denominator resulting from putting \\spad{prf} over a common denominator.")) (|convert| (((|Symbol|) $) "\\spad{convert(x)} converts \\spad{x} to a symbol"))) 
 NIL 
@@ -2918,15 +2918,15 @@ NIL
 NIL 
 (-747 R M) 
 ((|constructor| (NIL "\\spadtype{MonoidRing}(\\spad{R},{}\\spad{M}),{} implements the algebra of all maps from the monoid \\spad{M} to the commutative ring \\spad{R} with finite support. Multiplication of two maps \\spad{f} and \\spad{g} is defined to map an element \\spad{c} of \\spad{M} to the (convolution) sum over {\\em f(a)g(b)} such that {\\em ab = c}. Thus \\spad{M} can be identified with a canonical basis and the maps can also be considered as formal linear combinations of the elements in \\spad{M}. Scalar multiples of a basis element are called monomials. A prominent example is the class of polynomials where the monoid is a direct product of the natural numbers with pointwise addition. When \\spad{M} is \\spadtype{FreeMonoid Symbol},{} one gets polynomials in infinitely many non-commuting variables. Another application area is representation theory of finite groups \\spad{G},{} where modules over \\spadtype{MonoidRing}(\\spad{R},{}\\spad{G}) are studied.")) (|reductum| (($ $) "\\spad{reductum(f)} is \\spad{f} minus its leading monomial.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(f)} gives the coefficient of \\spad{f},{} whose corresponding monoid element is the greatest among all those with non-zero coefficients.")) (|leadingMonomial| ((|#2| $) "\\spad{leadingMonomial(f)} gives the monomial of \\spad{f} whose corresponding monoid element is the greatest among all those with non-zero coefficients.")) (|numberOfMonomials| (((|NonNegativeInteger|) $) "\\spad{numberOfMonomials(f)} is the number of non-zero coefficients with respect to the canonical basis.")) (|monomials| (((|List| $) $) "\\spad{monomials(f)} gives the list of all monomials whose sum is \\spad{f}.")) (|coefficients| (((|List| |#1|) $) "\\spad{coefficients(f)} lists all non-zero coefficients.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(f)} tests if \\spad{f} is a single monomial.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(fn,u)} maps function \\spad{fn} onto the coefficients of the non-zero monomials of \\spad{u}.")) (|terms| (((|List| (|Record| (|:| |coef| |#1|) (|:| |monom| |#2|))) $) "\\spad{terms(f)} gives the list of non-zero coefficients combined with their corresponding basis element as records. This is the internal representation.")) (|coerce| (($ (|List| (|Record| (|:| |coef| |#1|) (|:| |monom| |#2|)))) "\\spad{coerce(lt)} converts a list of terms and coefficients to a member of the domain.")) (|coefficient| ((|#1| $ |#2|) "\\spad{coefficient(f,m)} extracts the coefficient of \\spad{m} in \\spad{f} with respect to the canonical basis \\spad{M}.")) (|monomial| (($ |#1| |#2|) "\\spad{monomial(r,m)} creates a scalar multiple of the basis element \\spad{m}."))) 
-((-4459 |has| |#1| (-174)) (-4458 |has| |#1| (-174)) (-4461 . T)) 
+((-4460 |has| |#1| (-174)) (-4459 |has| |#1| (-174)) (-4462 . T)) 
 ((-12 (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#2| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-861)))) 
 (-748 S) 
 ((|constructor| (NIL "A multi-set aggregate is a set which keeps track of the multiplicity of its elements."))) 
-((-4454 . T) (-4465 . T)) 
+((-4455 . T) (-4466 . T)) 
 NIL 
 (-749 S) 
 ((|constructor| (NIL "A multiset is a set with multiplicities.")) (|remove!| (($ (|Mapping| (|Boolean|) |#1|) $ (|Integer|)) "\\spad{remove!(p,ms,number)} removes destructively at most \\spad{number} copies of elements \\spad{x} such that \\spad{p(x)} is \\spadfun{\\spad{true}} if \\spad{number} is positive,{} all of them if \\spad{number} equals zero,{} and all but at most \\spad{-number} if \\spad{number} is negative.") (($ |#1| $ (|Integer|)) "\\spad{remove!(x,ms,number)} removes destructively at most \\spad{number} copies of element \\spad{x} if \\spad{number} is positive,{} all of them if \\spad{number} equals zero,{} and all but at most \\spad{-number} if \\spad{number} is negative.")) (|remove| (($ (|Mapping| (|Boolean|) |#1|) $ (|Integer|)) "\\spad{remove(p,ms,number)} removes at most \\spad{number} copies of elements \\spad{x} such that \\spad{p(x)} is \\spadfun{\\spad{true}} if \\spad{number} is positive,{} all of them if \\spad{number} equals zero,{} and all but at most \\spad{-number} if \\spad{number} is negative.") (($ |#1| $ (|Integer|)) "\\spad{remove(x,ms,number)} removes at most \\spad{number} copies of element \\spad{x} if \\spad{number} is positive,{} all of them if \\spad{number} equals zero,{} and all but at most \\spad{-number} if \\spad{number} is negative.")) (|members| (((|List| |#1|) $) "\\spad{members(ms)} returns a list of the elements of \\spad{ms} {\\em without} their multiplicity. See also \\spadfun{parts}.")) (|multiset| (($ (|List| |#1|)) "\\spad{multiset(ls)} creates a multiset with elements from \\spad{ls}.") (($ |#1|) "\\spad{multiset(s)} creates a multiset with singleton \\spad{s}.") (($) "\\spad{multiset()}\\$\\spad{D} creates an empty multiset of domain \\spad{D}."))) 
-((-4464 . T) (-4454 . T) (-4465 . T)) 
+((-4465 . T) (-4455 . T) (-4466 . T)) 
 ((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
 (-750) 
 ((|constructor| (NIL "\\spadtype{MoreSystemCommands} implements an interface with the system command facility. These are the commands that are issued from source files or the system interpreter and they start with a close parenthesis,{} \\spadignore{e.g.} \\spadsyscom{what} commands.")) (|systemCommand| (((|Void|) (|String|)) "\\spad{systemCommand(cmd)} takes the string \\spadvar{\\spad{cmd}} and passes it to the runtime environment for execution as a system command. Although various things may be printed,{} no usable value is returned."))) 
@@ -2938,7 +2938,7 @@ NIL
 NIL 
 (-752 |Coef| |Var|) 
 ((|constructor| (NIL "\\spadtype{MultivariateTaylorSeriesCategory} is the most general multivariate Taylor series category.")) (|integrate| (($ $ |#2|) "\\spad{integrate(f,x)} returns the anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{x} with constant coefficient 1. We may integrate a series when we can divide coefficients by integers.")) (|polynomial| (((|Polynomial| |#1|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{polynomial(f,k1,k2)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (((|Polynomial| |#1|) $ (|NonNegativeInteger|)) "\\spad{polynomial(f,k)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| (((|NonNegativeInteger|) $ |#2| (|NonNegativeInteger|)) "\\spad{order(f,x,n)} returns \\spad{min(n,order(f,x))}.") (((|NonNegativeInteger|) $ |#2|) "\\spad{order(f,x)} returns the order of \\spad{f} viewed as a series in \\spad{x} may result in an infinite loop if \\spad{f} has no non-zero terms.")) (|monomial| (($ $ (|List| |#2|) (|List| (|NonNegativeInteger|))) "\\spad{monomial(a,[x1,x2,...,xk],[n1,n2,...,nk])} returns \\spad{a * x1^n1 * ... * xk^nk}.") (($ $ |#2| (|NonNegativeInteger|)) "\\spad{monomial(a,x,n)} returns \\spad{a*x^n}.")) (|extend| (($ $ (|NonNegativeInteger|)) "\\spad{extend(f,n)} causes all terms of \\spad{f} of degree \\spad{<= n} to be computed.")) (|coefficient| (($ $ (|List| |#2|) (|List| (|NonNegativeInteger|))) "\\spad{coefficient(f,[x1,x2,...,xk],[n1,n2,...,nk])} returns the coefficient of \\spad{x1^n1 * ... * xk^nk} in \\spad{f}.") (($ $ |#2| (|NonNegativeInteger|)) "\\spad{coefficient(f,x,n)} returns the coefficient of \\spad{x^n} in \\spad{f}."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4459 . T) (-4458 . T) (-4461 . T)) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4460 . T) (-4459 . T) (-4462 . T)) 
 NIL 
 (-753 OV E R P) 
 ((|constructor| (NIL "\\indented{2}{This is the top level package for doing multivariate factorization} over basic domains like \\spadtype{Integer} or \\spadtype{Fraction Integer}.")) (|factor| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factor(p)} factors the multivariate polynomial \\spad{p} over its coefficient domain where \\spad{p} is represented as a univariate polynomial with multivariate coefficients") (((|Factored| |#4|) |#4|) "\\spad{factor(p)} factors the multivariate polynomial \\spad{p} over its coefficient domain"))) 
@@ -2954,7 +2954,7 @@ NIL
 NIL 
 (-756 R) 
 ((|constructor| (NIL "NonAssociativeAlgebra is the category of non associative algebras (modules which are themselves non associative rngs). Axioms \\indented{3}{\\spad{r*}(a*b) = (r*a)\\spad{*b} = a*(\\spad{r*b})}")) (|plenaryPower| (($ $ (|PositiveInteger|)) "\\spad{plenaryPower(a,n)} is recursively defined to be \\spad{plenaryPower(a,n-1)*plenaryPower(a,n-1)} for \\spad{n>1} and \\spad{a} for \\spad{n=1}."))) 
-((-4459 . T) (-4458 . T)) 
+((-4460 . T) (-4459 . T)) 
 NIL 
 (-757) 
 ((|constructor| (NIL "This package uses the NAG Library to compute the zeros of a polynomial with real or complex coefficients. See \\downlink{Manual Page}{manpageXXc02}.")) (|c02agf| (((|Result|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Boolean|) (|Integer|)) "\\spad{c02agf(a,n,scale,ifail)} finds all the roots of a real polynomial equation,{} using a variant of Laguerre\\spad{'s} Method. See \\downlink{Manual Page}{manpageXXc02agf}.")) (|c02aff| (((|Result|) (|Matrix| (|DoubleFloat|)) (|Integer|) (|Boolean|) (|Integer|)) "\\spad{c02aff(a,n,scale,ifail)} finds all the roots of a complex polynomial equation,{} using a variant of Laguerre\\spad{'s} Method. See \\downlink{Manual Page}{manpageXXc02aff}."))) 
@@ -3036,11 +3036,11 @@ NIL
 ((|constructor| (NIL "This package computes explicitly eigenvalues and eigenvectors of matrices with entries over the complex rational numbers. The results are expressed either as complex floating numbers or as complex rational numbers depending on the type of the precision parameter.")) (|complexEigenvectors| (((|List| (|Record| (|:| |outval| (|Complex| |#1|)) (|:| |outmult| (|Integer|)) (|:| |outvect| (|List| (|Matrix| (|Complex| |#1|)))))) (|Matrix| (|Complex| (|Fraction| (|Integer|)))) |#1|) "\\spad{complexEigenvectors(m,eps)} returns a list of records each one containing a complex eigenvalue,{} its algebraic multiplicity,{} and a list of associated eigenvectors. All these results are computed to precision \\spad{eps} and are expressed as complex floats or complex rational numbers depending on the type of \\spad{eps} (float or rational).")) (|complexEigenvalues| (((|List| (|Complex| |#1|)) (|Matrix| (|Complex| (|Fraction| (|Integer|)))) |#1|) "\\spad{complexEigenvalues(m,eps)} computes the eigenvalues of the matrix \\spad{m} to precision \\spad{eps}. The eigenvalues are expressed as complex floats or complex rational numbers depending on the type of \\spad{eps} (float or rational).")) (|characteristicPolynomial| (((|Polynomial| (|Complex| (|Fraction| (|Integer|)))) (|Matrix| (|Complex| (|Fraction| (|Integer|)))) (|Symbol|)) "\\spad{characteristicPolynomial(m,x)} returns the characteristic polynomial of the matrix \\spad{m} expressed as polynomial over Complex Rationals with variable \\spad{x}.") (((|Polynomial| (|Complex| (|Fraction| (|Integer|)))) (|Matrix| (|Complex| (|Fraction| (|Integer|))))) "\\spad{characteristicPolynomial(m)} returns the characteristic polynomial of the matrix \\spad{m} expressed as polynomial over complex rationals with a new symbol as variable."))) 
 NIL 
 NIL 
-(-777 -1959) 
+(-777 -1962) 
 ((|constructor| (NIL "\\spadtype{NumericContinuedFraction} provides functions \\indented{2}{for converting floating point numbers to continued fractions.}")) (|continuedFraction| (((|ContinuedFraction| (|Integer|)) |#1|) "\\spad{continuedFraction(f)} converts the floating point number \\spad{f} to a reduced continued fraction."))) 
 NIL 
 NIL 
-(-778 P -1959) 
+(-778 P -1962) 
 ((|constructor| (NIL "This package provides a division and related operations for \\spadtype{MonogenicLinearOperator}\\spad{s} over a \\spadtype{Field}. Since the multiplication is in general non-commutative,{} these operations all have left- and right-hand versions. This package provides the operations based on left-division.")) (|leftLcm| ((|#1| |#1| |#1|) "\\spad{leftLcm(a,b)} computes the value \\spad{m} of lowest degree such that \\spad{m = a*aa = b*bb} for some values \\spad{aa} and \\spad{bb}. The value \\spad{m} is computed using left-division.")) (|leftGcd| ((|#1| |#1| |#1|) "\\spad{leftGcd(a,b)} computes the value \\spad{g} of highest degree such that \\indented{3}{\\spad{a = aa*g}} \\indented{3}{\\spad{b = bb*g}} for some values \\spad{aa} and \\spad{bb}. The value \\spad{g} is computed using left-division.")) (|leftExactQuotient| (((|Union| |#1| "failed") |#1| |#1|) "\\spad{leftExactQuotient(a,b)} computes the value \\spad{q},{} if it exists,{} \\indented{1}{such that \\spad{a = b*q}.}")) (|leftRemainder| ((|#1| |#1| |#1|) "\\spad{leftRemainder(a,b)} computes the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{r} is returned.")) (|leftQuotient| ((|#1| |#1| |#1|) "\\spad{leftQuotient(a,b)} computes the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{q} is returned.")) (|leftDivide| (((|Record| (|:| |quotient| |#1|) (|:| |remainder| |#1|)) |#1| |#1|) "\\spad{leftDivide(a,b)} returns the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``left division\\spad{''}."))) 
 NIL 
 NIL 
@@ -3048,7 +3048,7 @@ NIL
 NIL 
 NIL 
 NIL 
-(-780 UP -1959) 
+(-780 UP -1962) 
 ((|constructor| (NIL "In this package \\spad{F} is a framed algebra over the integers (typically \\spad{F = Z[a]} for some algebraic integer a). The package provides functions to compute the integral closure of \\spad{Z} in the quotient quotient field of \\spad{F}.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| (|Integer|))) (|:| |basisDen| (|Integer|)) (|:| |basisInv| (|Matrix| (|Integer|)))) (|Integer|)) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the local integral closure of \\spad{Z} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{Z}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| (|Integer|))) (|:| |basisDen| (|Integer|)) (|:| |basisInv| (|Matrix| (|Integer|))))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the integral closure of \\spad{Z} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{Z}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|discriminant| (((|Integer|)) "\\spad{discriminant()} returns the discriminant of the integral closure of \\spad{Z} in the quotient field of the framed algebra \\spad{F}."))) 
 NIL 
 NIL 
@@ -3062,9 +3062,9 @@ NIL
 NIL 
 (-783) 
 ((|constructor| (NIL "\\spadtype{NonNegativeInteger} provides functions for non \\indented{2}{negative integers.}")) (|commutative| ((|attribute| "*") "\\spad{commutative(\"*\")} means multiplication is commutative : \\spad{x*y = y*x}.")) (|random| (($ $) "\\spad{random(n)} returns a random integer from 0 to \\spad{n-1}.")) (|shift| (($ $ (|Integer|)) "\\spad{shift(a,i)} shift \\spad{a} by \\spad{i} bits.")) (|exquo| (((|Union| $ "failed") $ $) "\\spad{exquo(a,b)} returns the quotient of \\spad{a} and \\spad{b},{} or \"failed\" if \\spad{b} is zero or \\spad{a} rem \\spad{b} is zero.")) (|divide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{divide(a,b)} returns a record containing both remainder and quotient.")) (|gcd| (($ $ $) "\\spad{gcd(a,b)} computes the greatest common divisor of two non negative integers \\spad{a} and \\spad{b}.")) (|rem| (($ $ $) "\\spad{a rem b} returns the remainder of \\spad{a} and \\spad{b}.")) (|quo| (($ $ $) "\\spad{a quo b} returns the quotient of \\spad{a} and \\spad{b},{} forgetting the remainder."))) 
-(((-4466 "*") . T)) 
+(((-4467 "*") . T)) 
 NIL 
-(-784 R -1959) 
+(-784 R -1962) 
 ((|constructor| (NIL "NonLinearFirstOrderODESolver provides a function for finding closed form first integrals of nonlinear ordinary differential equations of order 1.")) (|solve| (((|Union| |#2| "failed") |#2| |#2| (|BasicOperator|) (|Symbol|)) "\\spad{solve(M(x,y), N(x,y), y, x)} returns \\spad{F(x,y)} such that \\spad{F(x,y) = c} for a constant \\spad{c} is a first integral of the equation \\spad{M(x,y) dx + N(x,y) dy = 0},{} or \"failed\" if no first-integral can be found."))) 
 NIL 
 NIL 
@@ -3084,7 +3084,7 @@ NIL
 ((|constructor| (NIL "A package for computing normalized assocites of univariate polynomials with coefficients in a tower of simple extensions of a field.\\newline References : \\indented{1}{[1] \\spad{D}. LAZARD \"A new method for solving algebraic systems of} \\indented{5}{positive dimension\" Discr. App. Math. 33:147-160,{}1991} \\indented{1}{[2] \\spad{M}. MORENO MAZA and \\spad{R}. RIOBOO \"Computations of \\spad{gcd} over} \\indented{5}{algebraic towers of simple extensions\" In proceedings of AAECC11} \\indented{5}{Paris,{} 1995.} \\indented{1}{[3] \\spad{M}. MORENO MAZA \"Calculs de pgcd au-dessus des tours} \\indented{5}{d'extensions simples et resolution des systemes d'equations} \\indented{5}{algebriques\" These,{} Universite \\spad{P}.etM. Curie,{} Paris,{} 1997.}")) (|normInvertible?| (((|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| |#5|))) |#4| |#5|) "\\axiom{normInvertible?(\\spad{p},{}\\spad{ts})} is an internal subroutine,{} exported only for developement.")) (|outputArgs| (((|Void|) (|String|) (|String|) |#4| |#5|) "\\axiom{outputArgs(\\spad{s1},{}\\spad{s2},{}\\spad{p},{}\\spad{ts})} is an internal subroutine,{} exported only for developement.")) (|normalize| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) |#4| |#5|) "\\axiom{normalize(\\spad{p},{}\\spad{ts})} normalizes \\axiom{\\spad{p}} \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts}.")) (|normalizedAssociate| ((|#4| |#4| |#5|) "\\axiom{normalizedAssociate(\\spad{p},{}\\spad{ts})} returns a normalized polynomial \\axiom{\\spad{n}} \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts} such that \\axiom{\\spad{n}} and \\axiom{\\spad{p}} are associates \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts} and assuming that \\axiom{\\spad{p}} is invertible \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts}.")) (|recip| (((|Record| (|:| |num| |#4|) (|:| |den| |#4|)) |#4| |#5|) "\\axiom{recip(\\spad{p},{}\\spad{ts})} returns the inverse of \\axiom{\\spad{p}} \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts} assuming that \\axiom{\\spad{p}} is invertible \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts}."))) 
 NIL 
 NIL 
-(-789 -1959 |ExtF| |SUEx| |ExtP| |n|) 
+(-789 -1962 |ExtF| |SUEx| |ExtP| |n|) 
 ((|constructor| (NIL "This package \\undocumented")) (|Frobenius| ((|#4| |#4|) "\\spad{Frobenius(x)} \\undocumented")) (|retractIfCan| (((|Union| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|)) "failed") |#4|) "\\spad{retractIfCan(x)} \\undocumented")) (|normFactors| (((|List| |#4|) |#4|) "\\spad{normFactors(x)} \\undocumented"))) 
 NIL 
 NIL 
@@ -3098,23 +3098,23 @@ NIL
 NIL 
 (-792 R |VarSet|) 
 ((|constructor| (NIL "A post-facto extension for \\axiomType{\\spad{SMP}} in order to speed up operations related to pseudo-division and \\spad{gcd}. This domain is based on the \\axiomType{NSUP} constructor which is itself a post-facto extension of the \\axiomType{SUP} constructor."))) 
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 (-793 R S) 
 ((|constructor| (NIL "This package lifts a mapping from coefficient rings \\spad{R} to \\spad{S} to a mapping from sparse univariate polynomial over \\spad{R} to a sparse univariate polynomial over \\spad{S}. Note that the mapping is assumed to send zero to zero,{} since it will only be applied to the non-zero coefficients of the polynomial.")) (|map| (((|NewSparseUnivariatePolynomial| |#2|) (|Mapping| |#2| |#1|) (|NewSparseUnivariatePolynomial| |#1|)) "\\axiom{map(func,{} poly)} creates a new polynomial by applying func to every non-zero coefficient of the polynomial poly."))) 
 NIL 
 NIL 
 (-794 R) 
 ((|constructor| (NIL "A post-facto extension for \\axiomType{SUP} in order to speed up operations related to pseudo-division and \\spad{gcd} for both \\axiomType{SUP} and,{} consequently,{} \\axiomType{NSMP}.")) (|halfExtendedResultant2| (((|Record| (|:| |resultant| |#1|) (|:| |coef2| $)) $ $) "\\axiom{halfExtendedResultant2(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} \\spad{cb}]}")) (|halfExtendedResultant1| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $)) $ $) "\\axiom{halfExtendedResultant1(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} \\spad{cb}]}")) (|extendedResultant| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{}\\spad{cb}]} such that \\axiom{\\spad{r}} is the resultant of \\axiom{a} and \\axiom{\\spad{b}} and \\axiom{\\spad{r} = ca * a + \\spad{cb} * \\spad{b}}")) (|halfExtendedSubResultantGcd2| (((|Record| (|:| |gcd| $) (|:| |coef2| $)) $ $) "\\axiom{halfExtendedSubResultantGcd2(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}\\spad{cb}]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]}")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{halfExtendedSubResultantGcd1(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]}")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]} such that \\axiom{\\spad{g}} is a \\spad{gcd} of \\axiom{a} and \\axiom{\\spad{b}} in \\axiom{\\spad{R^}(\\spad{-1}) \\spad{P}} and \\axiom{\\spad{g} = ca * a + \\spad{cb} * \\spad{b}}")) (|lastSubResultant| (($ $ $) "\\axiom{lastSubResultant(a,{}\\spad{b})} returns \\axiom{resultant(a,{}\\spad{b})} if \\axiom{a} and \\axiom{\\spad{b}} has no non-trivial \\spad{gcd} in \\axiom{\\spad{R^}(\\spad{-1}) \\spad{P}} otherwise the non-zero sub-resultant with smallest index.")) (|subResultantsChain| (((|List| $) $ $) "\\axiom{subResultantsChain(a,{}\\spad{b})} returns the list of the non-zero sub-resultants of \\axiom{a} and \\axiom{\\spad{b}} sorted by increasing degree.")) (|lazyPseudoQuotient| (($ $ $) "\\axiom{lazyPseudoQuotient(a,{}\\spad{b})} returns \\axiom{\\spad{q}} if \\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}")) (|lazyPseudoDivide| (((|Record| (|:| |coef| |#1|) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{\\spad{c^n} * a = \\spad{q*b} \\spad{+r}} and \\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} where \\axiom{\\spad{n} + \\spad{g} = max(0,{} degree(\\spad{b}) - degree(a) + 1)}.")) (|lazyPseudoRemainder| (($ $ $) "\\axiom{lazyPseudoRemainder(a,{}\\spad{b})} returns \\axiom{\\spad{r}} if \\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]}. This lazy pseudo-remainder is computed by means of the \\axiomOpFrom{fmecg}{NewSparseUnivariatePolynomial} operation.")) (|lazyResidueClass| (((|Record| (|:| |polnum| $) (|:| |polden| |#1|) (|:| |power| (|NonNegativeInteger|))) $ $) "\\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} such that \\axiom{\\spad{r}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{b}} divides \\axiom{\\spad{c^n} * a - \\spad{r}} where \\axiom{\\spad{c}} is \\axiom{leadingCoefficient(\\spad{b})} and \\axiom{\\spad{n}} is as small as possible with the previous properties.")) (|monicModulo| (($ $ $) "\\axiom{monicModulo(a,{}\\spad{b})} returns \\axiom{\\spad{r}} such that \\axiom{\\spad{r}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{b}} divides \\axiom{a \\spad{-r}} where \\axiom{\\spad{b}} is monic.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#1| $) "\\axiom{fmecg(\\spad{p1},{}\\spad{e},{}\\spad{r},{}\\spad{p2})} returns \\axiom{\\spad{p1} - \\spad{r} * X**e * \\spad{p2}} where \\axiom{\\spad{X}} is \\axiom{monomial(1,{}1)}"))) 
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+((|HasCategory| |#1| (QUOTE (-928))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2760 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2760 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2760 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-1173))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-238))) (|HasAttribute| |#1| (QUOTE -4463)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) 
 (-795 R) 
 ((|constructor| (NIL "This package provides polynomials as functions on a ring.")) (|eulerE| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{eulerE(n,r)} \\undocumented")) (|bernoulliB| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{bernoulliB(n,r)} \\undocumented")) (|cyclotomic| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{cyclotomic(n,r)} \\undocumented"))) 
 NIL 
 ((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) 
 (-796 R E V P) 
 ((|constructor| (NIL "The category of normalized triangular sets. A triangular set \\spad{ts} is said normalized if for every algebraic variable \\spad{v} of \\spad{ts} the polynomial \\spad{select(ts,v)} is normalized \\spad{w}.\\spad{r}.\\spad{t}. every polynomial in \\spad{collectUnder(ts,v)}. A polynomial \\spad{p} is said normalized \\spad{w}.\\spad{r}.\\spad{t}. a non-constant polynomial \\spad{q} if \\spad{p} is constant or \\spad{degree(p,mdeg(q)) = 0} and \\spad{init(p)} is normalized \\spad{w}.\\spad{r}.\\spad{t}. \\spad{q}. One of the important features of normalized triangular sets is that they are regular sets.\\newline References : \\indented{1}{[1] \\spad{D}. LAZARD \"A new method for solving algebraic systems of} \\indented{5}{positive dimension\" Discr. App. Math. 33:147-160,{}1991} \\indented{1}{[2] \\spad{P}. AUBRY,{} \\spad{D}. LAZARD and \\spad{M}. MORENO MAZA \"On the Theories} \\indented{5}{of Triangular Sets\" Journal of Symbol. Comp. (to appear)} \\indented{1}{[3] \\spad{M}. MORENO MAZA and \\spad{R}. RIOBOO \"Computations of \\spad{gcd} over} \\indented{5}{algebraic towers of simple extensions\" In proceedings of AAECC11} \\indented{5}{Paris,{} 1995.} \\indented{1}{[4] \\spad{M}. MORENO MAZA \"Calculs de pgcd au-dessus des tours} \\indented{5}{d'extensions simples et resolution des systemes d'equations} \\indented{5}{algebriques\" These,{} Universite \\spad{P}.etM. Curie,{} Paris,{} 1997.}"))) 
-((-4465 . T) (-4464 . T)) 
+((-4466 . T) (-4465 . T)) 
 NIL 
 (-797 S) 
 ((|constructor| (NIL "Numeric provides real and complex numerical evaluation functions for various symbolic types.")) (|numericIfCan| (((|Union| (|Float|) "failed") (|Expression| |#1|) (|PositiveInteger|)) "\\spad{numericIfCan(x, n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Float|) "failed") (|Expression| |#1|)) "\\spad{numericIfCan(x)} returns a real approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Float|) "failed") (|Fraction| (|Polynomial| |#1|)) (|PositiveInteger|)) "\\spad{numericIfCan(x,n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Float|) "failed") (|Fraction| (|Polynomial| |#1|))) "\\spad{numericIfCan(x)} returns a real approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Float|) "failed") (|Polynomial| |#1|) (|PositiveInteger|)) "\\spad{numericIfCan(x,n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Float|) "failed") (|Polynomial| |#1|)) "\\spad{numericIfCan(x)} returns a real approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.")) (|complexNumericIfCan| (((|Union| (|Complex| (|Float|)) "failed") (|Expression| (|Complex| |#1|)) (|PositiveInteger|)) "\\spad{complexNumericIfCan(x, n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Expression| (|Complex| |#1|))) "\\spad{complexNumericIfCan(x)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Expression| |#1|) (|PositiveInteger|)) "\\spad{complexNumericIfCan(x, n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Expression| |#1|)) "\\spad{complexNumericIfCan(x)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Fraction| (|Polynomial| (|Complex| |#1|))) (|PositiveInteger|)) "\\spad{complexNumericIfCan(x, n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Fraction| (|Polynomial| (|Complex| |#1|)))) "\\spad{complexNumericIfCan(x)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Fraction| (|Polynomial| |#1|)) (|PositiveInteger|)) "\\spad{complexNumericIfCan(x, n)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Fraction| (|Polynomial| |#1|))) "\\spad{complexNumericIfCan(x)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Polynomial| |#1|) (|PositiveInteger|)) "\\spad{complexNumericIfCan(x, n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Polynomial| |#1|)) "\\spad{complexNumericIfCan(x)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Polynomial| (|Complex| |#1|)) (|PositiveInteger|)) "\\spad{complexNumericIfCan(x, n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Polynomial| (|Complex| |#1|))) "\\spad{complexNumericIfCan(x)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not constant.")) (|complexNumeric| (((|Complex| (|Float|)) (|Expression| (|Complex| |#1|)) (|PositiveInteger|)) "\\spad{complexNumeric(x, n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) (|Expression| (|Complex| |#1|))) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) (|Expression| |#1|) (|PositiveInteger|)) "\\spad{complexNumeric(x, n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) (|Expression| |#1|)) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) (|Fraction| (|Polynomial| (|Complex| |#1|))) (|PositiveInteger|)) "\\spad{complexNumeric(x, n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) (|Fraction| (|Polynomial| (|Complex| |#1|)))) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) (|Fraction| (|Polynomial| |#1|)) (|PositiveInteger|)) "\\spad{complexNumeric(x, n)} returns a complex approximation of \\spad{x}") (((|Complex| (|Float|)) (|Fraction| (|Polynomial| |#1|))) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) (|Polynomial| |#1|) (|PositiveInteger|)) "\\spad{complexNumeric(x, n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) (|Polynomial| |#1|)) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) (|Polynomial| (|Complex| |#1|)) (|PositiveInteger|)) "\\spad{complexNumeric(x, n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) (|Polynomial| (|Complex| |#1|))) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) (|Complex| |#1|) (|PositiveInteger|)) "\\spad{complexNumeric(x, n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) (|Complex| |#1|)) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) |#1| (|PositiveInteger|)) "\\spad{complexNumeric(x, n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) |#1|) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.")) (|numeric| (((|Float|) (|Expression| |#1|) (|PositiveInteger|)) "\\spad{numeric(x, n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Float|) (|Expression| |#1|)) "\\spad{numeric(x)} returns a real approximation of \\spad{x}.") (((|Float|) (|Fraction| (|Polynomial| |#1|)) (|PositiveInteger|)) "\\spad{numeric(x,n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Float|) (|Fraction| (|Polynomial| |#1|))) "\\spad{numeric(x)} returns a real approximation of \\spad{x}.") (((|Float|) (|Polynomial| |#1|) (|PositiveInteger|)) "\\spad{numeric(x,n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Float|) (|Polynomial| |#1|)) "\\spad{numeric(x)} returns a real approximation of \\spad{x}.") (((|Float|) |#1| (|PositiveInteger|)) "\\spad{numeric(x, n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Float|) |#1|) "\\spad{numeric(x)} returns a real approximation of \\spad{x}."))) 
@@ -3166,25 +3166,25 @@ NIL
 ((|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-557))) (|HasCategory| |#2| (QUOTE (-1081))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-379)))) 
 (-809 R) 
 ((|constructor| (NIL "OctonionCategory gives the categorial frame for the octonions,{} and eight-dimensional non-associative algebra,{} doubling the the quaternions in the same way as doubling the Complex numbers to get the quaternions.")) (|inv| (($ $) "\\spad{inv(o)} returns the inverse of \\spad{o} if it exists.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(o)} returns the real part if all seven imaginary parts are 0,{} and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(o)} returns the real part if all seven imaginary parts are 0. Error: if \\spad{o} is not rational.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(o)} tests if \\spad{o} is rational,{} \\spadignore{i.e.} that all seven imaginary parts are 0.")) (|abs| ((|#1| $) "\\spad{abs(o)} computes the absolute value of an octonion,{} equal to the square root of the \\spadfunFrom{norm}{Octonion}.")) (|octon| (($ |#1| |#1| |#1| |#1| |#1| |#1| |#1| |#1|) "\\spad{octon(re,ri,rj,rk,rE,rI,rJ,rK)} constructs an octonion from scalars.")) (|norm| ((|#1| $) "\\spad{norm(o)} returns the norm of an octonion,{} equal to the sum of the squares of its coefficients.")) (|imagK| ((|#1| $) "\\spad{imagK(o)} extracts the imaginary \\spad{K} part of octonion \\spad{o}.")) (|imagJ| ((|#1| $) "\\spad{imagJ(o)} extracts the imaginary \\spad{J} part of octonion \\spad{o}.")) (|imagI| ((|#1| $) "\\spad{imagI(o)} extracts the imaginary \\spad{I} part of octonion \\spad{o}.")) (|imagE| ((|#1| $) "\\spad{imagE(o)} extracts the imaginary \\spad{E} part of octonion \\spad{o}.")) (|imagk| ((|#1| $) "\\spad{imagk(o)} extracts the \\spad{k} part of octonion \\spad{o}.")) (|imagj| ((|#1| $) "\\spad{imagj(o)} extracts the \\spad{j} part of octonion \\spad{o}.")) (|imagi| ((|#1| $) "\\spad{imagi(o)} extracts the \\spad{i} part of octonion \\spad{o}.")) (|real| ((|#1| $) "\\spad{real(o)} extracts real part of octonion \\spad{o}.")) (|conjugate| (($ $) "\\spad{conjugate(o)} negates the imaginary parts \\spad{i},{}\\spad{j},{}\\spad{k},{}\\spad{E},{}\\spad{I},{}\\spad{J},{}\\spad{K} of octonian \\spad{o}."))) 
-((-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
-(-810 -2758 R OS S) 
+(-810 -2760 R OS S) 
 ((|constructor| (NIL "OctonionCategoryFunctions2 implements functions between two octonion domains defined over different rings. The function map is used to coerce between octonion types.")) (|map| ((|#3| (|Mapping| |#4| |#2|) |#1|) "\\spad{map(f,u)} maps \\spad{f} onto the component parts of the octonion \\spad{u}."))) 
 NIL 
 NIL 
 (-811 R) 
 ((|constructor| (NIL "Octonion implements octonions (Cayley-Dixon algebra) over a commutative ring,{} an eight-dimensional non-associative algebra,{} doubling the quaternions in the same way as doubling the complex numbers to get the quaternions the main constructor function is {\\em octon} which takes 8 arguments: the real part,{} the \\spad{i} imaginary part,{} the \\spad{j} imaginary part,{} the \\spad{k} imaginary part,{} (as with quaternions) and in addition the imaginary parts \\spad{E},{} \\spad{I},{} \\spad{J},{} \\spad{K}.")) (|octon| (($ (|Quaternion| |#1|) (|Quaternion| |#1|)) "\\spad{octon(qe,qE)} constructs an octonion from two quaternions using the relation {\\em O = Q + QE}."))) 
-((-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (-2758 (|HasCategory| (-1020 |#1|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2758 (|HasCategory| (-1020 |#1|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-1081))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| (-1020 |#1|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1020 |#1|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) 
+((-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (-2760 (|HasCategory| (-1020 |#1|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2760 (|HasCategory| (-1020 |#1|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-1081))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| (-1020 |#1|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1020 |#1|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) 
 (-812) 
 ((|ODESolve| (((|Result|) (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{ODESolve(args)} performs the integration of the function given the strategy or method returned by \\axiomFun{measure}.")) (|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|))) (|RoutinesTable|) (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{measure(R,args)} calculates an estimate of the ability of a particular method to solve a problem. \\blankline This method may be either a specific NAG routine or a strategy (such as transforming the function from one which is difficult to one which is easier to solve). \\blankline It will call whichever agents are needed to perform analysis on the problem in order to calculate the measure. There is a parameter,{} labelled \\axiom{sofar},{} which would contain the best compatibility found so far."))) 
 NIL 
 NIL 
-(-813 R -1959 L) 
+(-813 R -1962 L) 
 ((|constructor| (NIL "Solution of linear ordinary differential equations,{} constant coefficient case.")) (|constDsolve| (((|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Symbol|)) "\\spad{constDsolve(op, g, x)} returns \\spad{[f, [y1,...,ym]]} where \\spad{f} is a particular solution of the equation \\spad{op y = g},{} and the \\spad{yi}\\spad{'s} form a basis for the solutions of \\spad{op y = 0}."))) 
 NIL 
 NIL 
-(-814 R -1959) 
+(-814 R -1962) 
 ((|constructor| (NIL "\\spad{ElementaryFunctionODESolver} provides the top-level functions for finding closed form solutions of ordinary differential equations and initial value problems.")) (|solve| (((|Union| |#2| "failed") |#2| (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{solve(eq, y, x = a, [y0,...,ym])} returns either the solution of the initial value problem \\spad{eq, y(a) = y0, y'(a) = y1,...} or \"failed\" if the solution cannot be found; error if the equation is not one linear ordinary or of the form \\spad{dy/dx = f(x,y)}.") (((|Union| |#2| "failed") (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{solve(eq, y, x = a, [y0,...,ym])} returns either the solution of the initial value problem \\spad{eq, y(a) = y0, y'(a) = y1,...} or \"failed\" if the solution cannot be found; error if the equation is not one linear ordinary or of the form \\spad{dy/dx = f(x,y)}.") (((|Union| (|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) |#2| "failed") |#2| (|BasicOperator|) (|Symbol|)) "\\spad{solve(eq, y, x)} returns either a solution of the ordinary differential equation \\spad{eq} or \"failed\" if no non-trivial solution can be found; If the equation is linear ordinary,{} a solution is of the form \\spad{[h, [b1,...,bm]]} where \\spad{h} is a particular solution and and \\spad{[b1,...bm]} are linearly independent solutions of the associated homogenuous equation \\spad{f(x,y) = 0}; A full basis for the solutions of the homogenuous equation is not always returned,{} only the solutions which were found; If the equation is of the form {dy/dx = \\spad{f}(\\spad{x},{}\\spad{y})},{} a solution is of the form \\spad{h(x,y)} where \\spad{h(x,y) = c} is a first integral of the equation for any constant \\spad{c}.") (((|Union| (|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) |#2| "failed") (|Equation| |#2|) (|BasicOperator|) (|Symbol|)) "\\spad{solve(eq, y, x)} returns either a solution of the ordinary differential equation \\spad{eq} or \"failed\" if no non-trivial solution can be found; If the equation is linear ordinary,{} a solution is of the form \\spad{[h, [b1,...,bm]]} where \\spad{h} is a particular solution and \\spad{[b1,...bm]} are linearly independent solutions of the associated homogenuous equation \\spad{f(x,y) = 0}; A full basis for the solutions of the homogenuous equation is not always returned,{} only the solutions which were found; If the equation is of the form {dy/dx = \\spad{f}(\\spad{x},{}\\spad{y})},{} a solution is of the form \\spad{h(x,y)} where \\spad{h(x,y) = c} is a first integral of the equation for any constant \\spad{c}; error if the equation is not one of those 2 forms.") (((|Union| (|Record| (|:| |particular| (|Vector| |#2|)) (|:| |basis| (|List| (|Vector| |#2|)))) "failed") (|List| |#2|) (|List| (|BasicOperator|)) (|Symbol|)) "\\spad{solve([eq_1,...,eq_n], [y_1,...,y_n], x)} returns either \"failed\" or,{} if the equations form a fist order linear system,{} a solution of the form \\spad{[y_p, [b_1,...,b_n]]} where \\spad{h_p} is a particular solution and \\spad{[b_1,...b_m]} are linearly independent solutions of the associated homogenuous system. error if the equations do not form a first order linear system") (((|Union| (|Record| (|:| |particular| (|Vector| |#2|)) (|:| |basis| (|List| (|Vector| |#2|)))) "failed") (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Symbol|)) "\\spad{solve([eq_1,...,eq_n], [y_1,...,y_n], x)} returns either \"failed\" or,{} if the equations form a fist order linear system,{} a solution of the form \\spad{[y_p, [b_1,...,b_n]]} where \\spad{h_p} is a particular solution and \\spad{[b_1,...b_m]} are linearly independent solutions of the associated homogenuous system. error if the equations do not form a first order linear system") (((|Union| (|List| (|Vector| |#2|)) "failed") (|Matrix| |#2|) (|Symbol|)) "\\spad{solve(m, x)} returns a basis for the solutions of \\spad{D y = m y}. \\spad{x} is the dependent variable.") (((|Union| (|Record| (|:| |particular| (|Vector| |#2|)) (|:| |basis| (|List| (|Vector| |#2|)))) "failed") (|Matrix| |#2|) (|Vector| |#2|) (|Symbol|)) "\\spad{solve(m, v, x)} returns \\spad{[v_p, [v_1,...,v_m]]} such that the solutions of the system \\spad{D y = m y + v} are \\spad{v_p + c_1 v_1 + ... + c_m v_m} where the \\spad{c_i's} are constants,{} and the \\spad{v_i's} form a basis for the solutions of \\spad{D y = m y}. \\spad{x} is the dependent variable."))) 
 NIL 
 NIL 
@@ -3192,7 +3192,7 @@ NIL
 ((|constructor| (NIL "\\axiom{ODEIntensityFunctionsTable()} provides a dynamic table and a set of functions to store details found out about sets of ODE\\spad{'s}.")) (|showIntensityFunctions| (((|Union| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|))) "failed") (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{showIntensityFunctions(k)} returns the entries in the table of intensity functions \\spad{k}.")) (|insert!| (($ (|Record| (|:| |key| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|)))))) "\\spad{insert!(r)} inserts an entry \\spad{r} into theIFTable")) (|iFTable| (($ (|List| (|Record| (|:| |key| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|))))))) "\\spad{iFTable(l)} creates an intensity-functions table from the elements of \\spad{l}.")) (|keys| (((|List| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) $) "\\spad{keys(tab)} returns the list of keys of \\spad{f}")) (|clearTheIFTable| (((|Void|)) "\\spad{clearTheIFTable()} clears the current table of intensity functions.")) (|showTheIFTable| (($) "\\spad{showTheIFTable()} returns the current table of intensity functions."))) 
 NIL 
 NIL 
-(-816 R -1959) 
+(-816 R -1962) 
 ((|constructor| (NIL "\\spadtype{ODEIntegration} provides an interface to the integrator. This package is intended for use by the differential equations solver but not at top-level.")) (|diff| (((|Mapping| |#2| |#2|) (|Symbol|)) "\\spad{diff(x)} returns the derivation with respect to \\spad{x}.")) (|expint| ((|#2| |#2| (|Symbol|)) "\\spad{expint(f, x)} returns e^{the integral of \\spad{f} with respect to \\spad{x}}.")) (|int| ((|#2| |#2| (|Symbol|)) "\\spad{int(f, x)} returns the integral of \\spad{f} with respect to \\spad{x}."))) 
 NIL 
 NIL 
@@ -3200,11 +3200,11 @@ NIL
 ((|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|)))) (|NumericalODEProblem|) (|RoutinesTable|)) "\\spad{measure(prob,R)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical ODE problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} listed in \\axiom{\\spad{R}} of \\axiom{category} \\axiomType{OrdinaryDifferentialEquationsSolverCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information. It predicts the likely most effective NAG numerical Library routine to solve the input set of ODEs by checking various attributes of the system of ODEs and calculating a measure of compatibility of each routine to these attributes.") (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|)))) (|NumericalODEProblem|)) "\\spad{measure(prob)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical ODE problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} of \\axiom{category} \\axiomType{OrdinaryDifferentialEquationsSolverCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information. It predicts the likely most effective NAG numerical Library routine to solve the input set of ODEs by checking various attributes of the system of ODEs and calculating a measure of compatibility of each routine to these attributes.")) (|solve| (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Expression| (|Float|)) (|List| (|Float|)) (|Float|) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,G,intVals,epsabs,epsrel)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to an absolute error requirement \\axiom{\\spad{epsabs}} and relative error \\axiom{\\spad{epsrel}}. The values of \\spad{Y}[1]..\\spad{Y}[\\spad{n}] will be output for the values of \\spad{X} in \\axiom{\\spad{intVals}}. The calculation will stop if the function \\spad{G}(\\spad{X},{}\\spad{Y}[1],{}..,{}\\spad{Y}[\\spad{n}]) evaluates to zero before \\spad{X} = \\spad{xEnd}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Expression| (|Float|)) (|List| (|Float|)) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,G,intVals,tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. The values of \\spad{Y}[1]..\\spad{Y}[\\spad{n}] will be output for the values of \\spad{X} in \\axiom{\\spad{intVals}}. The calculation will stop if the function \\spad{G}(\\spad{X},{}\\spad{Y}[1],{}..,{}\\spad{Y}[\\spad{n}]) evaluates to zero before \\spad{X} = \\spad{xEnd}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|List| (|Float|)) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,intVals,tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. The values of \\spad{Y}[1]..\\spad{Y}[\\spad{n}] will be output for the values of \\spad{X} in \\axiom{\\spad{intVals}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Expression| (|Float|)) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,G,tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. The calculation will stop if the function \\spad{G}(\\spad{X},{}\\spad{Y}[1],{}..,{}\\spad{Y}[\\spad{n}]) evaluates to zero before \\spad{X} = \\spad{xEnd}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|))) "\\spad{solve(f,xStart,xEnd,yInitial)} is a top level ANNA function to solve numerically a system of ordinary differential equations \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}],{} together with a starting value for \\spad{X} and \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (called the initial conditions) and a final value of \\spad{X}. A default value is used for the accuracy requirement. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|NumericalODEProblem|) (|RoutinesTable|)) "\\spad{solve(odeProblem,R)} is a top level ANNA function to solve numerically a system of ordinary differential equations \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}],{} together with starting values for \\spad{X} and \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (called the initial conditions),{} a final value of \\spad{X},{} an accuracy requirement and any intermediate points at which the result is required. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|NumericalODEProblem|)) "\\spad{solve(odeProblem)} is a top level ANNA function to solve numerically a system of ordinary differential equations \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}],{} together with starting values for \\spad{X} and \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (called the initial conditions),{} a final value of \\spad{X},{} an accuracy requirement and any intermediate points at which the result is required. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine."))) 
 NIL 
 NIL 
-(-818 -1959 UP UPUP R) 
+(-818 -1962 UP UPUP R) 
 ((|constructor| (NIL "In-field solution of an linear ordinary differential equation,{} pure algebraic case.")) (|algDsolve| (((|Record| (|:| |particular| (|Union| |#4| "failed")) (|:| |basis| (|List| |#4|))) (|LinearOrdinaryDifferentialOperator1| |#4|) |#4|) "\\spad{algDsolve(op, g)} returns \\spad{[\"failed\", []]} if the equation \\spad{op y = g} has no solution in \\spad{R}. Otherwise,{} it returns \\spad{[f, [y1,...,ym]]} where \\spad{f} is a particular rational solution and the \\spad{y_i's} form a basis for the solutions in \\spad{R} of the homogeneous equation."))) 
 NIL 
 NIL 
-(-819 -1959 UP L LQ) 
+(-819 -1962 UP L LQ) 
 ((|constructor| (NIL "\\spad{PrimitiveRatDE} provides functions for in-field solutions of linear \\indented{1}{ordinary differential equations,{} in the transcendental case.} \\indented{1}{The derivation to use is given by the parameter \\spad{L}.}")) (|splitDenominator| (((|Record| (|:| |eq| |#3|) (|:| |rh| (|List| (|Fraction| |#2|)))) |#4| (|List| (|Fraction| |#2|))) "\\spad{splitDenominator(op, [g1,...,gm])} returns \\spad{op0, [h1,...,hm]} such that the equations \\spad{op y = c1 g1 + ... + cm gm} and \\spad{op0 y = c1 h1 + ... + cm hm} have the same solutions.")) (|indicialEquation| ((|#2| |#4| |#1|) "\\spad{indicialEquation(op, a)} returns the indicial equation of \\spad{op} at \\spad{a}.") ((|#2| |#3| |#1|) "\\spad{indicialEquation(op, a)} returns the indicial equation of \\spad{op} at \\spad{a}.")) (|indicialEquations| (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#4| |#2|) "\\spad{indicialEquations(op, p)} returns \\spad{[[d1,e1],...,[dq,eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op} above the roots of \\spad{p},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.") (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#4|) "\\spad{indicialEquations op} returns \\spad{[[d1,e1],...,[dq,eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.") (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#3| |#2|) "\\spad{indicialEquations(op, p)} returns \\spad{[[d1,e1],...,[dq,eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op} above the roots of \\spad{p},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.") (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#3|) "\\spad{indicialEquations op} returns \\spad{[[d1,e1],...,[dq,eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.")) (|denomLODE| ((|#2| |#3| (|List| (|Fraction| |#2|))) "\\spad{denomLODE(op, [g1,...,gm])} returns a polynomial \\spad{d} such that any rational solution of \\spad{op y = c1 g1 + ... + cm gm} is of the form \\spad{p/d} for some polynomial \\spad{p}.") (((|Union| |#2| "failed") |#3| (|Fraction| |#2|)) "\\spad{denomLODE(op, g)} returns a polynomial \\spad{d} such that any rational solution of \\spad{op y = g} is of the form \\spad{p/d} for some polynomial \\spad{p},{} and \"failed\",{} if the equation has no rational solution."))) 
 NIL 
 NIL 
@@ -3212,41 +3212,41 @@ NIL
 ((|retract| (((|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|))) $) "\\spad{retract(x)} \\undocumented{}")) (|coerce| (($ (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{coerce(x)} \\undocumented{}"))) 
 NIL 
 NIL 
-(-821 -1959 UP L LQ) 
+(-821 -1962 UP L LQ) 
 ((|constructor| (NIL "In-field solution of Riccati equations,{} primitive case.")) (|changeVar| ((|#3| |#3| (|Fraction| |#2|)) "\\spad{changeVar(+/[ai D^i], a)} returns the operator \\spad{+/[ai (D+a)^i]}.") ((|#3| |#3| |#2|) "\\spad{changeVar(+/[ai D^i], a)} returns the operator \\spad{+/[ai (D+a)^i]}.")) (|singRicDE| (((|List| (|Record| (|:| |frac| (|Fraction| |#2|)) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{singRicDE(op, zeros, ezfactor)} returns \\spad{[[f1, L1], [f2, L2], ... , [fk, Lk]]} such that the singular part of any rational solution of the associated Riccati equation of \\spad{op y=0} must be one of the \\spad{fi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z=y e^{-int p}} is \\spad{Li z=0}. \\spad{zeros(C(x),H(x,y))} returns all the \\spad{P_i(x)}\\spad{'s} such that \\spad{H(x,P_i(x)) = 0 modulo C(x)}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.")) (|polyRicDE| (((|List| (|Record| (|:| |poly| |#2|) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#1|) |#2|)) "\\spad{polyRicDE(op, zeros)} returns \\spad{[[p1, L1], [p2, L2], ... , [pk, Lk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y=0} must be one of the \\spad{pi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z=y e^{-int p}} is \\spad{Li z =0}. \\spad{zeros} is a zero finder in \\spad{UP}.")) (|constantCoefficientRicDE| (((|List| (|Record| (|:| |constant| |#1|) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#1|) |#2|)) "\\spad{constantCoefficientRicDE(op, ric)} returns \\spad{[[a1, L1], [a2, L2], ... , [ak, Lk]]} such that any rational solution with no polynomial part of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{ai}\\spad{'s} in which case the equation for \\spad{z = y e^{-int ai}} is \\spad{Li z = 0}. \\spad{ric} is a Riccati equation solver over \\spad{F},{} whose input is the associated linear equation.")) (|leadingCoefficientRicDE| (((|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |eq| |#2|))) |#3|) "\\spad{leadingCoefficientRicDE(op)} returns \\spad{[[m1, p1], [m2, p2], ... , [mk, pk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must have degree \\spad{mj} for some \\spad{j},{} and its leading coefficient is then a zero of \\spad{pj}. In addition,{}\\spad{m1>m2> ... >mk}.")) (|denomRicDE| ((|#2| |#3|) "\\spad{denomRicDE(op)} returns a polynomial \\spad{d} such that any rational solution of the associated Riccati equation of \\spad{op y = 0} is of the form \\spad{p/d + q'/q + r} for some polynomials \\spad{p} and \\spad{q} and a reduced \\spad{r}. Also,{} \\spad{deg(p) < deg(d)} and {\\spad{gcd}(\\spad{d},{}\\spad{q}) = 1}."))) 
 NIL 
 NIL 
-(-822 -1959 UP) 
+(-822 -1962 UP) 
 ((|constructor| (NIL "\\spad{RationalLODE} provides functions for in-field solutions of linear \\indented{1}{ordinary differential equations,{} in the rational case.}")) (|indicialEquationAtInfinity| ((|#2| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))) "\\spad{indicialEquationAtInfinity op} returns the indicial equation of \\spad{op} at infinity.") ((|#2| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{indicialEquationAtInfinity op} returns the indicial equation of \\spad{op} at infinity.")) (|ratDsolve| (((|Record| (|:| |basis| (|List| (|Fraction| |#2|))) (|:| |mat| (|Matrix| |#1|))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|List| (|Fraction| |#2|))) "\\spad{ratDsolve(op, [g1,...,gm])} returns \\spad{[[h1,...,hq], M]} such that any rational solution of \\spad{op y = c1 g1 + ... + cm gm} is of the form \\spad{d1 h1 + ... + dq hq} where \\spad{M [d1,...,dq,c1,...,cm] = 0}.") (((|Record| (|:| |particular| (|Union| (|Fraction| |#2|) "failed")) (|:| |basis| (|List| (|Fraction| |#2|)))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Fraction| |#2|)) "\\spad{ratDsolve(op, g)} returns \\spad{[\"failed\", []]} if the equation \\spad{op y = g} has no rational solution. Otherwise,{} it returns \\spad{[f, [y1,...,ym]]} where \\spad{f} is a particular rational solution and the \\spad{yi}\\spad{'s} form a basis for the rational solutions of the homogeneous equation.") (((|Record| (|:| |basis| (|List| (|Fraction| |#2|))) (|:| |mat| (|Matrix| |#1|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|List| (|Fraction| |#2|))) "\\spad{ratDsolve(op, [g1,...,gm])} returns \\spad{[[h1,...,hq], M]} such that any rational solution of \\spad{op y = c1 g1 + ... + cm gm} is of the form \\spad{d1 h1 + ... + dq hq} where \\spad{M [d1,...,dq,c1,...,cm] = 0}.") (((|Record| (|:| |particular| (|Union| (|Fraction| |#2|) "failed")) (|:| |basis| (|List| (|Fraction| |#2|)))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Fraction| |#2|)) "\\spad{ratDsolve(op, g)} returns \\spad{[\"failed\", []]} if the equation \\spad{op y = g} has no rational solution. Otherwise,{} it returns \\spad{[f, [y1,...,ym]]} where \\spad{f} is a particular rational solution and the \\spad{yi}\\spad{'s} form a basis for the rational solutions of the homogeneous equation."))) 
 NIL 
 NIL 
-(-823 -1959 L UP A LO) 
+(-823 -1962 L UP A LO) 
 ((|constructor| (NIL "Elimination of an algebraic from the coefficentss of a linear ordinary differential equation.")) (|reduceLODE| (((|Record| (|:| |mat| (|Matrix| |#2|)) (|:| |vec| (|Vector| |#1|))) |#5| |#4|) "\\spad{reduceLODE(op, g)} returns \\spad{[m, v]} such that any solution in \\spad{A} of \\spad{op z = g} is of the form \\spad{z = (z_1,...,z_m) . (b_1,...,b_m)} where the \\spad{b_i's} are the basis of \\spad{A} over \\spad{F} returned by \\spadfun{basis}() from \\spad{A},{} and the \\spad{z_i's} satisfy the differential system \\spad{M.z = v}."))) 
 NIL 
 NIL 
-(-824 -1959 UP) 
+(-824 -1962 UP) 
 ((|constructor| (NIL "In-field solution of Riccati equations,{} rational case.")) (|polyRicDE| (((|List| (|Record| (|:| |poly| |#2|) (|:| |eq| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{polyRicDE(op, zeros)} returns \\spad{[[p1, L1], [p2, L2], ... , [pk,Lk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{pi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z = y e^{-int p}} is \\spad{Li z = 0}. \\spad{zeros} is a zero finder in \\spad{UP}.")) (|singRicDE| (((|List| (|Record| (|:| |frac| (|Fraction| |#2|)) (|:| |eq| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{singRicDE(op, ezfactor)} returns \\spad{[[f1,L1], [f2,L2],..., [fk,Lk]]} such that the singular \\spad{++} part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{fi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z = y e^{-int ai}} is \\spad{Li z = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.")) (|ricDsolve| (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))) "\\spad{ricDsolve(op)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{ricDsolve(op)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, zeros, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{ricDsolve(op, zeros)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, zeros, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{ricDsolve(op, zeros)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}."))) 
 NIL 
 ((|HasCategory| |#1| (QUOTE (-27)))) 
-(-825 -1959 LO) 
+(-825 -1962 LO) 
 ((|constructor| (NIL "SystemODESolver provides tools for triangulating and solving some systems of linear ordinary differential equations.")) (|solveInField| (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|Matrix| |#2|) (|Vector| |#1|) (|Mapping| (|Record| (|:| |particular| (|Union| |#1| "failed")) (|:| |basis| (|List| |#1|))) |#2| |#1|)) "\\spad{solveInField(m, v, solve)} returns \\spad{[[v_1,...,v_m], v_p]} such that the solutions in \\spad{F} of the system \\spad{m x = v} are \\spad{v_p + c_1 v_1 + ... + c_m v_m} where the \\spad{c_i's} are constants,{} and the \\spad{v_i's} form a basis for the solutions of \\spad{m x = 0}. Argument \\spad{solve} is a function for solving a single linear ordinary differential equation in \\spad{F}.")) (|solve| (((|Union| (|Record| (|:| |particular| (|Vector| |#1|)) (|:| |basis| (|Matrix| |#1|))) "failed") (|Matrix| |#1|) (|Vector| |#1|) (|Mapping| (|Union| (|Record| (|:| |particular| |#1|) (|:| |basis| (|List| |#1|))) "failed") |#2| |#1|)) "\\spad{solve(m, v, solve)} returns \\spad{[[v_1,...,v_m], v_p]} such that the solutions in \\spad{F} of the system \\spad{D x = m x + v} are \\spad{v_p + c_1 v_1 + ... + c_m v_m} where the \\spad{c_i's} are constants,{} and the \\spad{v_i's} form a basis for the solutions of \\spad{D x = m x}. Argument \\spad{solve} is a function for solving a single linear ordinary differential equation in \\spad{F}.")) (|triangulate| (((|Record| (|:| |mat| (|Matrix| |#2|)) (|:| |vec| (|Vector| |#1|))) (|Matrix| |#2|) (|Vector| |#1|)) "\\spad{triangulate(m, v)} returns \\spad{[m_0, v_0]} such that \\spad{m_0} is upper triangular and the system \\spad{m_0 x = v_0} is equivalent to \\spad{m x = v}.") (((|Record| (|:| A (|Matrix| |#1|)) (|:| |eqs| (|List| (|Record| (|:| C (|Matrix| |#1|)) (|:| |g| (|Vector| |#1|)) (|:| |eq| |#2|) (|:| |rh| |#1|))))) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{triangulate(M,v)} returns \\spad{A,[[C_1,g_1,L_1,h_1],...,[C_k,g_k,L_k,h_k]]} such that under the change of variable \\spad{y = A z},{} the first order linear system \\spad{D y = M y + v} is uncoupled as \\spad{D z_i = C_i z_i + g_i} and each \\spad{C_i} is a companion matrix corresponding to the scalar equation \\spad{L_i z_j = h_i}."))) 
 NIL 
 NIL 
-(-826 -1959 LODO) 
+(-826 -1962 LODO) 
 ((|constructor| (NIL "\\spad{ODETools} provides tools for the linear ODE solver.")) (|particularSolution| (((|Union| |#1| "failed") |#2| |#1| (|List| |#1|) (|Mapping| |#1| |#1|)) "\\spad{particularSolution(op, g, [f1,...,fm], I)} returns a particular solution \\spad{h} of the equation \\spad{op y = g} where \\spad{[f1,...,fm]} are linearly independent and \\spad{op(fi)=0}. The value \"failed\" is returned if no particular solution is found. Note: the method of variations of parameters is used.")) (|variationOfParameters| (((|Union| (|Vector| |#1|) "failed") |#2| |#1| (|List| |#1|)) "\\spad{variationOfParameters(op, g, [f1,...,fm])} returns \\spad{[u1,...,um]} such that a particular solution of the equation \\spad{op y = g} is \\spad{f1 int(u1) + ... + fm int(um)} where \\spad{[f1,...,fm]} are linearly independent and \\spad{op(fi)=0}. The value \"failed\" is returned if \\spad{m < n} and no particular solution is found.")) (|wronskianMatrix| (((|Matrix| |#1|) (|List| |#1|) (|NonNegativeInteger|)) "\\spad{wronskianMatrix([f1,...,fn], q, D)} returns the \\spad{q x n} matrix \\spad{m} whose i^th row is \\spad{[f1^(i-1),...,fn^(i-1)]}.") (((|Matrix| |#1|) (|List| |#1|)) "\\spad{wronskianMatrix([f1,...,fn])} returns the \\spad{n x n} matrix \\spad{m} whose i^th row is \\spad{[f1^(i-1),...,fn^(i-1)]}."))) 
 NIL 
 NIL 
-(-827 -2704 S |f|) 
+(-827 -2706 S |f|) 
 ((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying ordered component type. The ordering on the type is determined by its third argument which represents the less than function on vectors. This type is a suitable third argument for \\spadtype{GeneralDistributedMultivariatePolynomial}."))) 
-((-4458 |has| |#2| (-1070)) (-4459 |has| |#2| (-1070)) (-4461 |has| |#2| (-6 -4461)) (-4464 . T)) 
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(QUOTE (-374)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-379)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-738)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-805)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-861)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-1070)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-1121))))) (-2760 (-12 (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-132))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-379))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-738))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-805))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-861))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-1070))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))))) (-2760 (-12 (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-132))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-379))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-738))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-805))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-861))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-1070))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))))) (|HasCategory| (-576) (QUOTE (-861))) (-12 (|HasCategory| |#2| (QUOTE (-1070))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-237))) (|HasCategory| |#2| (QUOTE (-1070)))) (-12 (|HasCategory| |#2| (QUOTE (-1070))) (|HasCategory| |#2| (LIST (QUOTE -919) (QUOTE (-1197))))) (-2760 (|HasCategory| |#2| (QUOTE (-1070))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-1121)))) (|HasAttribute| |#2| (QUOTE -4462)) (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (QUOTE (-1070)))) (-12 (|HasCategory| |#2| (QUOTE (-1070))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197))))) (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))))) 
 (-828 R) 
 ((|constructor| (NIL "\\spadtype{OrderlyDifferentialPolynomial} implements an ordinary differential polynomial ring in arbitrary number of differential indeterminates,{} with coefficients in a ring. The ranking on the differential indeterminate is orderly. This is analogous to the domain \\spadtype{Polynomial}. \\blankline"))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) 
-((|HasCategory| |#1| (QUOTE (-928))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2758 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2758 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-830 (-1197)) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-830 (-1197)) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-830 (-1197)) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-830 (-1197)) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-830 (-1197)) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2758 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4462)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4463 |has| |#1| (-6 -4463)) (-4460 . T) (-4459 . T) (-4462 . T)) 
+((|HasCategory| |#1| (QUOTE (-928))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2760 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2760 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-830 (-1197)) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-830 (-1197)) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-830 (-1197)) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-830 (-1197)) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-830 (-1197)) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2760 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4463)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) 
 (-829 |Kernels| R |var|) 
 ((|constructor| (NIL "This constructor produces an ordinary differential ring from a partial differential ring by specifying a variable."))) 
-(((-4466 "*") |has| |#2| (-374)) (-4457 |has| |#2| (-374)) (-4462 |has| |#2| (-374)) (-4456 |has| |#2| (-374)) (-4461 . T) (-4459 . T) (-4458 . T)) 
+(((-4467 "*") |has| |#2| (-374)) (-4458 |has| |#2| (-374)) (-4463 |has| |#2| (-374)) (-4457 |has| |#2| (-374)) (-4462 . T) (-4460 . T) (-4459 . T)) 
 ((|HasCategory| |#2| (QUOTE (-374)))) 
 (-830 S) 
 ((|constructor| (NIL "\\spadtype{OrderlyDifferentialVariable} adds a commonly used orderly ranking to the set of derivatives of an ordered list of differential indeterminates. An orderly ranking is a ranking \\spadfun{<} of the derivatives with the property that for two derivatives \\spad{u} and \\spad{v},{} \\spad{u} \\spadfun{<} \\spad{v} if the \\spadfun{order} of \\spad{u} is less than that of \\spad{v}. This domain belongs to \\spadtype{DifferentialVariableCategory}. It defines \\spadfun{weight} to be just \\spadfun{order},{} and it defines an orderly ranking \\spadfun{<} on derivatives \\spad{u} via the lexicographic order on the pair (\\spadfun{order}(\\spad{u}),{} \\spadfun{variable}(\\spad{u}))."))) 
@@ -3258,7 +3258,7 @@ NIL
 ((|HasCategory| |#1| (QUOTE (-861)))) 
 (-832) 
 ((|constructor| (NIL "The category of ordered commutative integral domains,{} where ordering and the arithmetic operations are compatible \\blankline"))) 
-((-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-833) 
 ((|constructor| (NIL "\\spadtype{OpenMathConnection} provides low-level functions for handling connections to and from \\spadtype{OpenMathDevice}\\spad{s}.")) (|OMbindTCP| (((|Boolean|) $ (|SingleInteger|)) "\\spad{OMbindTCP}")) (|OMconnectTCP| (((|Boolean|) $ (|String|) (|SingleInteger|)) "\\spad{OMconnectTCP}")) (|OMconnOutDevice| (((|OpenMathDevice|) $) "\\spad{OMconnOutDevice:}")) (|OMconnInDevice| (((|OpenMathDevice|) $) "\\spad{OMconnInDevice:}")) (|OMcloseConn| (((|Void|) $) "\\spad{OMcloseConn}")) (|OMmakeConn| (($ (|SingleInteger|)) "\\spad{OMmakeConn}"))) 
@@ -3286,7 +3286,7 @@ NIL
 NIL 
 (-839 P R) 
 ((|constructor| (NIL "This constructor creates the \\spadtype{MonogenicLinearOperator} domain which is ``opposite\\spad{''} in the ring sense to \\spad{P}. That is,{} as sets \\spad{P = \\$} but \\spad{a * b} in \\spad{\\$} is equal to \\spad{b * a} in \\spad{P}.")) (|po| ((|#1| $) "\\spad{po(q)} creates a value in \\spad{P} equal to \\spad{q} in \\$.")) (|op| (($ |#1|) "\\spad{op(p)} creates a value in \\$ equal to \\spad{p} in \\spad{P}."))) 
-((-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4459 . T) (-4460 . T) (-4462 . T)) 
 ((|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-238)))) 
 (-840) 
 ((|constructor| (NIL "\\spadtype{OpenMath} provides operations for exporting an object in OpenMath format.")) (|OMwrite| (((|Void|) (|OpenMathDevice|) $ (|Boolean|)) "\\spad{OMwrite(dev, u, true)} writes the OpenMath form of \\axiom{\\spad{u}} to the OpenMath device \\axiom{\\spad{dev}} as a complete OpenMath object; OMwrite(\\spad{dev},{} \\spad{u},{} \\spad{false}) writes the object as an OpenMath fragment.") (((|Void|) (|OpenMathDevice|) $) "\\spad{OMwrite(dev, u)} writes the OpenMath form of \\axiom{\\spad{u}} to the OpenMath device \\axiom{\\spad{dev}} as a complete OpenMath object.") (((|String|) $ (|Boolean|)) "\\spad{OMwrite(u, true)} returns the OpenMath \\spad{XML} encoding of \\axiom{\\spad{u}} as a complete OpenMath object; OMwrite(\\spad{u},{} \\spad{false}) returns the OpenMath \\spad{XML} encoding of \\axiom{\\spad{u}} as an OpenMath fragment.") (((|String|) $) "\\spad{OMwrite(u)} returns the OpenMath \\spad{XML} encoding of \\axiom{\\spad{u}} as a complete OpenMath object."))) 
@@ -3298,7 +3298,7 @@ NIL
 NIL 
 (-842 S) 
 ((|constructor| (NIL "to become an in order iterator")) (|min| ((|#1| $) "\\spad{min(u)} returns the smallest entry in the multiset aggregate \\spad{u}."))) 
-((-4464 . T) (-4454 . T) (-4465 . T)) 
+((-4465 . T) (-4455 . T) (-4466 . T)) 
 NIL 
 (-843) 
 ((|constructor| (NIL "\\spadtype{OpenMathServerPackage} provides the necessary operations to run AXIOM as an OpenMath server,{} reading/writing objects to/from a port. Please note the facilities available here are very basic. The idea is that a user calls \\spadignore{e.g.} \\axiom{Omserve(4000,{}60)} and then another process sends OpenMath objects to port 4000 and reads the result.")) (|OMserve| (((|Void|) (|SingleInteger|) (|SingleInteger|)) "\\spad{OMserve(portnum,timeout)} puts AXIOM into server mode on port number \\axiom{\\spad{portnum}}. The parameter \\axiom{\\spad{timeout}} specifies the \\spad{timeout} period for the connection.")) (|OMsend| (((|Void|) (|OpenMathConnection|) (|Any|)) "\\spad{OMsend(c,u)} attempts to output \\axiom{\\spad{u}} on \\aciom{\\spad{c}} in OpenMath.")) (|OMreceive| (((|Any|) (|OpenMathConnection|)) "\\spad{OMreceive(c)} reads an OpenMath object from connection \\axiom{\\spad{c}} and returns the appropriate AXIOM object."))) 
@@ -3310,8 +3310,8 @@ NIL
 NIL 
 (-845 R) 
 ((|constructor| (NIL "Adjunction of a complex infinity to a set. Date Created: 4 Oct 1989 Date Last Updated: 1 Nov 1989")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a finite rational number if it is one,{} \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a finite rational number. Error: if \\spad{x} is not a rational number.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a finite rational number.")) (|infinite?| (((|Boolean|) $) "\\spad{infinite?(x)} tests if \\spad{x} is infinite.")) (|finite?| (((|Boolean|) $) "\\spad{finite?(x)} tests if \\spad{x} is finite.")) (|infinity| (($) "\\spad{infinity()} returns infinity."))) 
-((-4461 |has| |#1| (-860))) 
-((|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (QUOTE (-21))) (-2758 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-860)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-2758 (|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-557)))) 
+((-4462 |has| |#1| (-860))) 
+((|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (QUOTE (-21))) (-2760 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-860)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-2760 (|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-557)))) 
 (-846 A S) 
 ((|constructor| (NIL "This category specifies the interface for operators used to build terms,{} in the sense of Universal Algebra. The domain parameter \\spad{S} provides representation for the `external name' of an operator.")) (|is?| (((|Boolean|) $ |#2|) "\\spad{is?(op,n)} holds if the name of the operator \\spad{op} is \\spad{n}.")) (|arity| (((|Arity|) $) "\\spad{arity(op)} returns the arity of the operator \\spad{op}.")) (|name| ((|#2| $) "\\spad{name(op)} returns the externam name of \\spad{op}."))) 
 NIL 
@@ -3322,7 +3322,7 @@ NIL
 NIL 
 (-848 R) 
 ((|constructor| (NIL "Algebra of ADDITIVE operators over a ring."))) 
-((-4459 |has| |#1| (-174)) (-4458 |has| |#1| (-174)) (-4461 . T)) 
+((-4460 |has| |#1| (-174)) (-4459 |has| |#1| (-174)) (-4462 . T)) 
 ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148)))) 
 (-849) 
 ((|constructor| (NIL "This package exports tools to create AXIOM Library information databases.")) (|getDatabase| (((|Database| (|IndexCard|)) (|String|)) "\\spad{getDatabase(\"char\")} returns a list of appropriate entries in the browser database. The legal values for \\spad{\"char\"} are \"o\" (operations),{} \\spad{\"k\"} (constructors),{} \\spad{\"d\"} (domains),{} \\spad{\"c\"} (categories) or \\spad{\"p\"} (packages)."))) 
@@ -3350,13 +3350,13 @@ NIL
 NIL 
 (-855 R) 
 ((|constructor| (NIL "Adjunction of two real infinites quantities to a set. Date Created: 4 Oct 1989 Date Last Updated: 1 Nov 1989")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a finite rational number if it is one and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a finite rational number. Error: if \\spad{x} cannot be so converted.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a finite rational number.")) (|whatInfinity| (((|SingleInteger|) $) "\\spad{whatInfinity(x)} returns 0 if \\spad{x} is finite,{} 1 if \\spad{x} is +infinity,{} and \\spad{-1} if \\spad{x} is -infinity.")) (|infinite?| (((|Boolean|) $) "\\spad{infinite?(x)} tests if \\spad{x} is +infinity or -infinity,{}")) (|finite?| (((|Boolean|) $) "\\spad{finite?(x)} tests if \\spad{x} is finite.")) (|minusInfinity| (($) "\\spad{minusInfinity()} returns -infinity.")) (|plusInfinity| (($) "\\spad{plusInfinity()} returns +infinity."))) 
-((-4461 |has| |#1| (-860))) 
-((|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (QUOTE (-21))) (-2758 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-860)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-2758 (|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-557)))) 
+((-4462 |has| |#1| (-860))) 
+((|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (QUOTE (-21))) (-2760 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-860)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-2760 (|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-557)))) 
 (-856) 
 ((|constructor| (NIL "Ordered finite sets.")) (|max| (($) "\\spad{max} is the maximum value of \\%.")) (|min| (($) "\\spad{min} is the minimum value of \\%."))) 
 NIL 
 NIL 
-(-857 -2704 S) 
+(-857 -2706 S) 
 ((|constructor| (NIL "\\indented{3}{This package provides ordering functions on vectors which} are suitable parameters for OrderedDirectProduct.")) (|reverseLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{reverseLex(v1,v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the ordering which is total degree refined by the reverse lexicographic ordering.")) (|totalLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{totalLex(v1,v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the ordering which is total degree refined by lexicographic ordering.")) (|pureLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{pureLex(v1,v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the lexicographic ordering."))) 
 NIL 
 NIL 
@@ -3370,7 +3370,7 @@ NIL
 NIL 
 (-860) 
 ((|constructor| (NIL "Ordered sets which are also rings,{} that is,{} domains where the ring operations are compatible with the ordering. \\blankline")) (|abs| (($ $) "\\spad{abs(x)} returns the absolute value of \\spad{x}.")) (|sign| (((|Integer|) $) "\\spad{sign(x)} is 1 if \\spad{x} is positive,{} \\spad{-1} if \\spad{x} is negative,{} 0 if \\spad{x} equals 0.")) (|negative?| (((|Boolean|) $) "\\spad{negative?(x)} tests whether \\spad{x} is strictly less than 0.")) (|positive?| (((|Boolean|) $) "\\spad{positive?(x)} tests whether \\spad{x} is strictly greater than 0."))) 
-((-4461 . T)) 
+((-4462 . T)) 
 NIL 
 (-861) 
 ((|constructor| (NIL "The class of totally ordered sets,{} that is,{} sets such that for each pair of elements \\spad{(a,b)} exactly one of the following relations holds \\spad{a<b or a=b or b<a} and the relation is transitive,{} \\spadignore{i.e.} \\spad{a<b and b<c => a<c}."))) 
@@ -3394,19 +3394,19 @@ NIL
 ((|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174)))) 
 (-866 R) 
 ((|constructor| (NIL "This is the category of univariate skew polynomials over an Ore coefficient ring. The multiplication is given by \\spad{x a = \\sigma(a) x + \\delta a}. This category is an evolution of the types \\indented{2}{MonogenicLinearOperator,{} OppositeMonogenicLinearOperator,{} and} \\indented{2}{NonCommutativeOperatorDivision} developped by Jean Della Dora and Stephen \\spad{M}. Watt.")) (|leftLcm| (($ $ $) "\\spad{leftLcm(a,b)} computes the value \\spad{m} of lowest degree such that \\spad{m = aa*a = bb*b} for some values \\spad{aa} and \\spad{bb}. The value \\spad{m} is computed using right-division.")) (|rightExtendedGcd| (((|Record| (|:| |coef1| $) (|:| |coef2| $) (|:| |generator| $)) $ $) "\\spad{rightExtendedGcd(a,b)} returns \\spad{[c,d]} such that \\spad{g = c * a + d * b = rightGcd(a, b)}.")) (|rightGcd| (($ $ $) "\\spad{rightGcd(a,b)} computes the value \\spad{g} of highest degree such that \\indented{3}{\\spad{a = aa*g}} \\indented{3}{\\spad{b = bb*g}} for some values \\spad{aa} and \\spad{bb}. The value \\spad{g} is computed using right-division.")) (|rightExactQuotient| (((|Union| $ "failed") $ $) "\\spad{rightExactQuotient(a,b)} computes the value \\spad{q},{} if it exists such that \\spad{a = q*b}.")) (|rightRemainder| (($ $ $) "\\spad{rightRemainder(a,b)} computes the pair \\spad{[q,r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{r} is returned.")) (|rightQuotient| (($ $ $) "\\spad{rightQuotient(a,b)} computes the pair \\spad{[q,r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{q} is returned.")) (|rightDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{rightDivide(a,b)} returns the pair \\spad{[q,r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``right division\\spad{''}.")) (|rightLcm| (($ $ $) "\\spad{rightLcm(a,b)} computes the value \\spad{m} of lowest degree such that \\spad{m = a*aa = b*bb} for some values \\spad{aa} and \\spad{bb}. The value \\spad{m} is computed using left-division.")) (|leftExtendedGcd| (((|Record| (|:| |coef1| $) (|:| |coef2| $) (|:| |generator| $)) $ $) "\\spad{leftExtendedGcd(a,b)} returns \\spad{[c,d]} such that \\spad{g = a * c + b * d = leftGcd(a, b)}.")) (|leftGcd| (($ $ $) "\\spad{leftGcd(a,b)} computes the value \\spad{g} of highest degree such that \\indented{3}{\\spad{a = g*aa}} \\indented{3}{\\spad{b = g*bb}} for some values \\spad{aa} and \\spad{bb}. The value \\spad{g} is computed using left-division.")) (|leftExactQuotient| (((|Union| $ "failed") $ $) "\\spad{leftExactQuotient(a,b)} computes the value \\spad{q},{} if it exists,{} \\indented{1}{such that \\spad{a = b*q}.}")) (|leftRemainder| (($ $ $) "\\spad{leftRemainder(a,b)} computes the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{r} is returned.")) (|leftQuotient| (($ $ $) "\\spad{leftQuotient(a,b)} computes the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{q} is returned.")) (|leftDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{leftDivide(a,b)} returns the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``left division\\spad{''}.")) (|primitivePart| (($ $) "\\spad{primitivePart(l)} returns \\spad{l0} such that \\spad{l = a * l0} for some a in \\spad{R},{} and \\spad{content(l0) = 1}.")) (|content| ((|#1| $) "\\spad{content(l)} returns the \\spad{gcd} of all the coefficients of \\spad{l}.")) (|monicRightDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{monicRightDivide(a,b)} returns the pair \\spad{[q,r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. \\spad{b} must be monic. This process is called ``right division\\spad{''}.")) (|monicLeftDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{monicLeftDivide(a,b)} returns the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. \\spad{b} must be monic. This process is called ``left division\\spad{''}.")) (|exquo| (((|Union| $ "failed") $ |#1|) "\\spad{exquo(l, a)} returns the exact quotient of \\spad{l} by a,{} returning \\axiom{\"failed\"} if this is not possible.")) (|apply| ((|#1| $ |#1| |#1|) "\\spad{apply(p, c, m)} returns \\spad{p(m)} where the action is given by \\spad{x m = c sigma(m) + delta(m)}.")) (|coefficients| (((|List| |#1|) $) "\\spad{coefficients(l)} returns the list of all the nonzero coefficients of \\spad{l}.")) (|monomial| (($ |#1| (|NonNegativeInteger|)) "\\spad{monomial(c,k)} produces \\spad{c} times the \\spad{k}-th power of the generating operator,{} \\spad{monomial(1,1)}.")) (|coefficient| ((|#1| $ (|NonNegativeInteger|)) "\\spad{coefficient(l,k)} is \\spad{a(k)} if \\indented{2}{\\spad{l = sum(monomial(a(i),i), i = 0..n)}.}")) (|reductum| (($ $) "\\spad{reductum(l)} is \\spad{l - monomial(a(n),n)} if \\indented{2}{\\spad{l = sum(monomial(a(i),i), i = 0..n)}.}")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(l)} is \\spad{a(n)} if \\indented{2}{\\spad{l = sum(monomial(a(i),i), i = 0..n)}.}")) (|minimumDegree| (((|NonNegativeInteger|) $) "\\spad{minimumDegree(l)} is the smallest \\spad{k} such that \\spad{a(k) ~= 0} if \\indented{2}{\\spad{l = sum(monomial(a(i),i), i = 0..n)}.}")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(l)} is \\spad{n} if \\indented{2}{\\spad{l = sum(monomial(a(i),i), i = 0..n)}.}"))) 
-((-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-867 R C) 
 ((|constructor| (NIL "\\spad{UnivariateSkewPolynomialCategoryOps} provides products and \\indented{1}{divisions of univariate skew polynomials.}")) (|rightDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{rightDivide(a, b, sigma)} returns the pair \\spad{[q,r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``right division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|leftDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{leftDivide(a, b, sigma)} returns the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``left division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|monicRightDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{monicRightDivide(a, b, sigma)} returns the pair \\spad{[q,r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. \\spad{b} must be monic. This process is called ``right division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|monicLeftDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{monicLeftDivide(a, b, sigma)} returns the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. \\spad{b} must be monic. This process is called ``left division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|apply| ((|#1| |#2| |#1| |#1| (|Automorphism| |#1|) (|Mapping| |#1| |#1|)) "\\spad{apply(p, c, m, sigma, delta)} returns \\spad{p(m)} where the action is given by \\spad{x m = c sigma(m) + delta(m)}.")) (|times| ((|#2| |#2| |#2| (|Automorphism| |#1|) (|Mapping| |#1| |#1|)) "\\spad{times(p, q, sigma, delta)} returns \\spad{p * q}. \\spad{\\sigma} and \\spad{\\delta} are the maps to use."))) 
 NIL 
 ((|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) 
-(-868 R |sigma| -3642) 
+(-868 R |sigma| -3643) 
 ((|constructor| (NIL "This is the domain of sparse univariate skew polynomials over an Ore coefficient field. The multiplication is given by \\spad{x a = \\sigma(a) x + \\delta a}.")) (|outputForm| (((|OutputForm|) $ (|OutputForm|)) "\\spad{outputForm(p, x)} returns the output form of \\spad{p} using \\spad{x} for the otherwise anonymous variable."))) 
-((-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4459 . T) (-4460 . T) (-4462 . T)) 
 ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-374)))) 
-(-869 |x| R |sigma| -3642) 
+(-869 |x| R |sigma| -3643) 
 ((|constructor| (NIL "This is the domain of univariate skew polynomials over an Ore coefficient field in a named variable. The multiplication is given by \\spad{x a = \\sigma(a) x + \\delta a}."))) 
-((-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4459 . T) (-4460 . T) (-4462 . T)) 
 ((|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-374)))) 
 (-870 R) 
 ((|constructor| (NIL "This package provides orthogonal polynomials as functions on a ring.")) (|legendreP| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{legendreP(n,x)} is the \\spad{n}-th Legendre polynomial,{} \\spad{P[n](x)}. These are defined by \\spad{1/sqrt(1-2*x*t+t**2) = sum(P[n](x)*t**n, n = 0..)}.")) (|laguerreL| ((|#1| (|NonNegativeInteger|) (|NonNegativeInteger|) |#1|) "\\spad{laguerreL(m,n,x)} is the associated Laguerre polynomial,{} \\spad{L<m>[n](x)}. This is the \\spad{m}-th derivative of \\spad{L[n](x)}.") ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{laguerreL(n,x)} is the \\spad{n}-th Laguerre polynomial,{} \\spad{L[n](x)}. These are defined by \\spad{exp(-t*x/(1-t))/(1-t) = sum(L[n](x)*t**n/n!, n = 0..)}.")) (|hermiteH| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{hermiteH(n,x)} is the \\spad{n}-th Hermite polynomial,{} \\spad{H[n](x)}. These are defined by \\spad{exp(2*t*x-t**2) = sum(H[n](x)*t**n/n!, n = 0..)}.")) (|chebyshevU| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{chebyshevU(n,x)} is the \\spad{n}-th Chebyshev polynomial of the second kind,{} \\spad{U[n](x)}. These are defined by \\spad{1/(1-2*t*x+t**2) = sum(T[n](x) *t**n, n = 0..)}.")) (|chebyshevT| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{chebyshevT(n,x)} is the \\spad{n}-th Chebyshev polynomial of the first kind,{} \\spad{T[n](x)}. These are defined by \\spad{(1-t*x)/(1-2*t*x+t**2) = sum(T[n](x) *t**n, n = 0..)}."))) 
@@ -3450,7 +3450,7 @@ NIL
 NIL 
 (-880 R |vl| |wl| |wtlevel|) 
 ((|constructor| (NIL "This domain represents truncated weighted polynomials over the \"Polynomial\" type. The variables must be specified,{} as must the weights. The representation is sparse in the sense that only non-zero terms are represented.")) (|changeWeightLevel| (((|Void|) (|NonNegativeInteger|)) "\\spad{changeWeightLevel(n)} This changes the weight level to the new value given: \\spad{NB:} previously calculated terms are not affected")) (/ (((|Union| $ "failed") $ $) "\\spad{x/y} division (only works if minimum weight of divisor is zero,{} and if \\spad{R} is a Field)"))) 
-((-4459 |has| |#1| (-174)) (-4458 |has| |#1| (-174)) (-4461 . T)) 
+((-4460 |has| |#1| (-174)) (-4459 |has| |#1| (-174)) (-4462 . T)) 
 ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374)))) 
 (-881 R PS UP) 
 ((|constructor| (NIL "\\indented{1}{This package computes reliable Pad&ea. approximants using} a generalized Viskovatov continued fraction algorithm. Authors: Burge,{} Hassner & Watt. Date Created: April 1987 Date Last Updated: 12 April 1990 Keywords: Pade,{} series Examples: References: \\indented{2}{\"Pade Approximants,{} Part I: Basic Theory\",{} Baker & Graves-Morris.}")) (|padecf| (((|Union| (|ContinuedFraction| |#3|) "failed") (|NonNegativeInteger|) (|NonNegativeInteger|) |#2| |#2|) "\\spad{padecf(nd,dd,ns,ds)} computes the approximant as a continued fraction of polynomials (if it exists) for arguments \\spad{nd} (numerator degree of approximant),{} \\spad{dd} (denominator degree of approximant),{} \\spad{ns} (numerator series of function),{} and \\spad{ds} (denominator series of function).")) (|pade| (((|Union| (|Fraction| |#3|) "failed") (|NonNegativeInteger|) (|NonNegativeInteger|) |#2| |#2|) "\\spad{pade(nd,dd,ns,ds)} computes the approximant as a quotient of polynomials (if it exists) for arguments \\spad{nd} (numerator degree of approximant),{} \\spad{dd} (denominator degree of approximant),{} \\spad{ns} (numerator series of function),{} and \\spad{ds} (denominator series of function)."))) 
@@ -3462,24 +3462,24 @@ NIL
 NIL 
 (-883 |p|) 
 ((|constructor| (NIL "This is the catefory of stream-based representations of \\indented{2}{the \\spad{p}-adic integers.}")) (|root| (($ (|SparseUnivariatePolynomial| (|Integer|)) (|Integer|)) "\\spad{root(f,a)} returns a root of the polynomial \\spad{f}. Argument \\spad{a} must be a root of \\spad{f} \\spad{(mod p)}.")) (|sqrt| (($ $ (|Integer|)) "\\spad{sqrt(b,a)} returns a square root of \\spad{b}. Argument \\spad{a} is a square root of \\spad{b} \\spad{(mod p)}.")) (|approximate| (((|Integer|) $ (|Integer|)) "\\spad{approximate(x,n)} returns an integer \\spad{y} such that \\spad{y = x (mod p^n)} when \\spad{n} is positive,{} and 0 otherwise.")) (|quotientByP| (($ $) "\\spad{quotientByP(x)} returns \\spad{b},{} where \\spad{x = a + b p}.")) (|moduloP| (((|Integer|) $) "\\spad{modulo(x)} returns a,{} where \\spad{x = a + b p}.")) (|modulus| (((|Integer|)) "\\spad{modulus()} returns the value of \\spad{p}.")) (|complete| (($ $) "\\spad{complete(x)} forces the computation of all digits.")) (|extend| (($ $ (|Integer|)) "\\spad{extend(x,n)} forces the computation of digits up to order \\spad{n}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(x)} returns the exponent of the highest power of \\spad{p} dividing \\spad{x}.")) (|digits| (((|Stream| (|Integer|)) $) "\\spad{digits(x)} returns a stream of \\spad{p}-adic digits of \\spad{x}."))) 
-((-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-884 |p|) 
 ((|constructor| (NIL "Stream-based implementation of \\spad{Zp:} \\spad{p}-adic numbers are represented as sum(\\spad{i} = 0..,{} a[\\spad{i}] * p^i),{} where the a[\\spad{i}] lie in 0,{}1,{}...,{}(\\spad{p} - 1)."))) 
-((-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-885 |p|) 
 ((|constructor| (NIL "Stream-based implementation of \\spad{Qp:} numbers are represented as sum(\\spad{i} = \\spad{k}..,{} a[\\spad{i}] * p^i) where the a[\\spad{i}] lie in 0,{}1,{}...,{}(\\spad{p} - 1)."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| (-884 |#1|) (QUOTE (-928))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-884 |#1|) (QUOTE (-146))) (|HasCategory| (-884 |#1|) (QUOTE (-148))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-884 |#1|) (QUOTE (-1043))) (|HasCategory| (-884 |#1|) (QUOTE (-832))) (|HasCategory| (-884 |#1|) (QUOTE (-861))) (-2758 (|HasCategory| (-884 |#1|) (QUOTE (-832))) (|HasCategory| (-884 |#1|) (QUOTE (-861)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-884 |#1|) (QUOTE (-1173))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-884 |#1|) (QUOTE (-237))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-884 |#1|) (QUOTE (-238))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -526) (QUOTE (-1197)) (LIST (QUOTE -884) (|devaluate| |#1|)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -319) (LIST (QUOTE -884) (|devaluate| |#1|)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -296) (LIST (QUOTE -884) (|devaluate| |#1|)) (LIST (QUOTE -884) (|devaluate| |#1|)))) (|HasCategory| (-884 |#1|) (QUOTE (-317))) (|HasCategory| (-884 |#1|) (QUOTE (-557))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-884 |#1|) (QUOTE (-928)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-884 |#1|) (QUOTE (-928)))) (|HasCategory| (-884 |#1|) (QUOTE (-146))))) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| (-884 |#1|) (QUOTE (-928))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-884 |#1|) (QUOTE (-146))) (|HasCategory| (-884 |#1|) (QUOTE (-148))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-884 |#1|) (QUOTE (-1043))) (|HasCategory| (-884 |#1|) (QUOTE (-832))) (|HasCategory| (-884 |#1|) (QUOTE (-861))) (-2760 (|HasCategory| (-884 |#1|) (QUOTE (-832))) (|HasCategory| (-884 |#1|) (QUOTE (-861)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-884 |#1|) (QUOTE (-1173))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-884 |#1|) (QUOTE (-237))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-884 |#1|) (QUOTE (-238))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -526) (QUOTE (-1197)) (LIST (QUOTE -884) (|devaluate| |#1|)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -319) (LIST (QUOTE -884) (|devaluate| |#1|)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -296) (LIST (QUOTE -884) (|devaluate| |#1|)) (LIST (QUOTE -884) (|devaluate| |#1|)))) (|HasCategory| (-884 |#1|) (QUOTE (-317))) (|HasCategory| (-884 |#1|) (QUOTE (-557))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-884 |#1|) (QUOTE (-928)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-884 |#1|) (QUOTE (-928)))) (|HasCategory| (-884 |#1|) (QUOTE (-146))))) 
 (-886 |p| PADIC) 
 ((|constructor| (NIL "This is the category of stream-based representations of \\spad{Qp}.")) (|removeZeroes| (($ (|Integer|) $) "\\spad{removeZeroes(n,x)} removes up to \\spad{n} leading zeroes from the \\spad{p}-adic rational \\spad{x}.") (($ $) "\\spad{removeZeroes(x)} removes leading zeroes from the representation of the \\spad{p}-adic rational \\spad{x}. A \\spad{p}-adic rational is represented by (1) an exponent and (2) a \\spad{p}-adic integer which may have leading zero digits. When the \\spad{p}-adic integer has a leading zero digit,{} a 'leading zero' is removed from the \\spad{p}-adic rational as follows: the number is rewritten by increasing the exponent by 1 and dividing the \\spad{p}-adic integer by \\spad{p}. Note: \\spad{removeZeroes(f)} removes all leading zeroes from \\spad{f}.")) (|continuedFraction| (((|ContinuedFraction| (|Fraction| (|Integer|))) $) "\\spad{continuedFraction(x)} converts the \\spad{p}-adic rational number \\spad{x} to a continued fraction.")) (|approximate| (((|Fraction| (|Integer|)) $ (|Integer|)) "\\spad{approximate(x,n)} returns a rational number \\spad{y} such that \\spad{y = x (mod p^n)}."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| |#2| (QUOTE (-928))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-1043))) (|HasCategory| |#2| (QUOTE (-832))) (|HasCategory| |#2| (QUOTE (-861))) (-2758 (|HasCategory| |#2| (QUOTE (-832))) (|HasCategory| |#2| (QUOTE (-861)))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-1173))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-237))) (|HasCategory| |#2| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -296) (|devaluate| |#2|) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-557))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-146))))) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| |#2| (QUOTE (-928))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-1043))) (|HasCategory| |#2| (QUOTE (-832))) (|HasCategory| |#2| (QUOTE (-861))) (-2760 (|HasCategory| |#2| (QUOTE (-832))) (|HasCategory| |#2| (QUOTE (-861)))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-1173))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-237))) (|HasCategory| |#2| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -296) (|devaluate| |#2|) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-557))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-146))))) 
 (-887 S T$) 
 ((|constructor| (NIL "\\indented{1}{This domain provides a very simple representation} of the notion of `pair of objects'. It does not try to achieve all possible imaginable things.")) (|second| ((|#2| $) "\\spad{second(p)} extracts the second components of \\spad{`p'}.")) (|first| ((|#1| $) "\\spad{first(p)} extracts the first component of \\spad{`p'}.")) (|construct| (($ |#1| |#2|) "\\spad{construct(s,t)} is same as pair(\\spad{s},{}\\spad{t}),{} with syntactic sugar.")) (|pair| (($ |#1| |#2|) "\\spad{pair(s,t)} returns a pair object composed of \\spad{`s'} and \\spad{`t'}."))) 
 NIL 
-((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))))) 
 (-888) 
 ((|constructor| (NIL "This domain describes four groups of color shades (palettes).")) (|coerce| (($ (|Color|)) "\\spad{coerce(c)} sets the average shade for the palette to that of the indicated color \\spad{c}.")) (|shade| (((|Integer|) $) "\\spad{shade(p)} returns the shade index of the indicated palette \\spad{p}.")) (|hue| (((|Color|) $) "\\spad{hue(p)} returns the hue field of the indicated palette \\spad{p}.")) (|light| (($ (|Color|)) "\\spad{light(c)} sets the shade of a hue,{} \\spad{c},{} to it\\spad{'s} highest value.")) (|pastel| (($ (|Color|)) "\\spad{pastel(c)} sets the shade of a hue,{} \\spad{c},{} above bright,{} but below light.")) (|bright| (($ (|Color|)) "\\spad{bright(c)} sets the shade of a hue,{} \\spad{c},{} above dim,{} but below pastel.")) (|dim| (($ (|Color|)) "\\spad{dim(c)} sets the shade of a hue,{} \\spad{c},{} above dark,{} but below bright.")) (|dark| (($ (|Color|)) "\\spad{dark(c)} sets the shade of the indicated hue of \\spad{c} to it\\spad{'s} lowest value."))) 
 NIL 
@@ -3539,7 +3539,7 @@ NIL
 (-902 |Base| |Subject| |Pat|) 
 ((|constructor| (NIL "This package provides the top-level pattern macthing functions.")) (|Is| (((|PatternMatchResult| |#1| |#2|) |#2| |#3|) "\\spad{Is(expr, pat)} matches the pattern pat on the expression \\spad{expr} and returns a match of the form \\spad{[v1 = e1,...,vn = en]}; returns an empty match if \\spad{expr} is exactly equal to pat. returns a \\spadfun{failed} match if pat does not match \\spad{expr}.") (((|List| (|Equation| (|Polynomial| |#2|))) |#2| |#3|) "\\spad{Is(expr, pat)} matches the pattern pat on the expression \\spad{expr} and returns a list of matches \\spad{[v1 = e1,...,vn = en]}; returns an empty list if either \\spad{expr} is exactly equal to pat or if pat does not match \\spad{expr}.") (((|List| (|Equation| |#2|)) |#2| |#3|) "\\spad{Is(expr, pat)} matches the pattern pat on the expression \\spad{expr} and returns a list of matches \\spad{[v1 = e1,...,vn = en]}; returns an empty list if either \\spad{expr} is exactly equal to pat or if pat does not match \\spad{expr}.") (((|PatternMatchListResult| |#1| |#2| (|List| |#2|)) (|List| |#2|) |#3|) "\\spad{Is([e1,...,en], pat)} matches the pattern pat on the list of expressions \\spad{[e1,...,en]} and returns the result.")) (|is?| (((|Boolean|) (|List| |#2|) |#3|) "\\spad{is?([e1,...,en], pat)} tests if the list of expressions \\spad{[e1,...,en]} matches the pattern pat.") (((|Boolean|) |#2| |#3|) "\\spad{is?(expr, pat)} tests if the expression \\spad{expr} matches the pattern pat."))) 
 NIL 
-((-12 (-2662 (|HasCategory| |#2| (QUOTE (-1070)))) (-2662 (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197)))))) (-12 (|HasCategory| |#2| (QUOTE (-1070))) (-2662 (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197)))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197))))) 
+((-12 (-2663 (|HasCategory| |#2| (QUOTE (-1070)))) (-2663 (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197)))))) (-12 (|HasCategory| |#2| (QUOTE (-1070))) (-2663 (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197)))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197))))) 
 (-903 R A B) 
 ((|constructor| (NIL "Lifts maps to pattern matching results.")) (|map| (((|PatternMatchResult| |#1| |#3|) (|Mapping| |#3| |#2|) (|PatternMatchResult| |#1| |#2|)) "\\spad{map(f, [(v1,a1),...,(vn,an)])} returns the matching result [(\\spad{v1},{}\\spad{f}(a1)),{}...,{}(\\spad{vn},{}\\spad{f}(an))]."))) 
 NIL 
@@ -3548,7 +3548,7 @@ NIL
 ((|constructor| (NIL "A PatternMatchResult is an object internally returned by the pattern matcher; It is either a failed match,{} or a list of matches of the form (var,{} expr) meaning that the variable var matches the expression expr.")) (|satisfy?| (((|Union| (|Boolean|) "failed") $ (|Pattern| |#1|)) "\\spad{satisfy?(r, p)} returns \\spad{true} if the matches satisfy the top-level predicate of \\spad{p},{} \\spad{false} if they don\\spad{'t},{} and \"failed\" if not enough variables of \\spad{p} are matched in \\spad{r} to decide.")) (|construct| (($ (|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|)))) "\\spad{construct([v1,e1],...,[vn,en])} returns the match result containing the matches (\\spad{v1},{}e1),{}...,{}(\\spad{vn},{}en).")) (|destruct| (((|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|))) $) "\\spad{destruct(r)} returns the list of matches (var,{} expr) in \\spad{r}. Error: if \\spad{r} is a failed match.")) (|addMatchRestricted| (($ (|Pattern| |#1|) |#2| $ |#2|) "\\spad{addMatchRestricted(var, expr, r, val)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} that \\spad{var} is not matched to another expression already,{} and that either \\spad{var} is an optional pattern variable or that \\spad{expr} is not equal to val (usually an identity).")) (|insertMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{insertMatch(var, expr, r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} without checking predicates or previous matches for \\spad{var}.")) (|addMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{addMatch(var, expr, r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} and that \\spad{var} is not matched to another expression already.")) (|getMatch| (((|Union| |#2| "failed") (|Pattern| |#1|) $) "\\spad{getMatch(var, r)} returns the expression that \\spad{var} matches in the result \\spad{r},{} and \"failed\" if \\spad{var} is not matched in \\spad{r}.")) (|union| (($ $ $) "\\spad{union(a, b)} makes the set-union of two match results.")) (|new| (($) "\\spad{new()} returns a new empty match result.")) (|failed| (($) "\\spad{failed()} returns a failed match.")) (|failed?| (((|Boolean|) $) "\\spad{failed?(r)} tests if \\spad{r} is a failed match."))) 
 NIL 
 NIL 
-(-905 R -2018) 
+(-905 R -2020) 
 ((|constructor| (NIL "Tools for patterns.")) (|badValues| (((|List| |#2|) (|Pattern| |#1|)) "\\spad{badValues(p)} returns the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|addBadValue| (((|Pattern| |#1|) (|Pattern| |#1|) |#2|) "\\spad{addBadValue(p, v)} adds \\spad{v} to the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|satisfy?| (((|Boolean|) (|List| |#2|) (|Pattern| |#1|)) "\\spad{satisfy?([v1,...,vn], p)} returns \\spad{f(v1,...,vn)} where \\spad{f} is the top-level predicate attached to \\spad{p}.") (((|Boolean|) |#2| (|Pattern| |#1|)) "\\spad{satisfy?(v, p)} returns \\spad{f}(\\spad{v}) where \\spad{f} is the predicate attached to \\spad{p}.")) (|predicate| (((|Mapping| (|Boolean|) |#2|) (|Pattern| |#1|)) "\\spad{predicate(p)} returns the predicate attached to \\spad{p},{} the constant function \\spad{true} if \\spad{p} has no predicates attached to it.")) (|suchThat| (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Symbol|)) (|Mapping| (|Boolean|) (|List| |#2|))) "\\spad{suchThat(p, [a1,...,an], f)} returns a copy of \\spad{p} with the top-level predicate set to \\spad{f(a1,...,an)}.") (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Mapping| (|Boolean|) |#2|))) "\\spad{suchThat(p, [f1,...,fn])} makes a copy of \\spad{p} and adds the predicate \\spad{f1} and ... and \\spad{fn} to the copy,{} which is returned.") (((|Pattern| |#1|) (|Pattern| |#1|) (|Mapping| (|Boolean|) |#2|)) "\\spad{suchThat(p, f)} makes a copy of \\spad{p} and adds the predicate \\spad{f} to the copy,{} which is returned."))) 
 NIL 
 NIL 
@@ -3580,7 +3580,7 @@ NIL
 ((|PDESolve| (((|Result|) (|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|)))) "\\spad{PDESolve(args)} performs the integration of the function given the strategy or method returned by \\axiomFun{measure}.")) (|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|))) (|RoutinesTable|) (|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|)))) "\\spad{measure(R,args)} calculates an estimate of the ability of a particular method to solve a problem. \\blankline This method may be either a specific NAG routine or a strategy (such as transforming the function from one which is difficult to one which is easier to solve). \\blankline It will call whichever agents are needed to perform analysis on the problem in order to calculate the measure. There is a parameter,{} labelled \\axiom{sofar},{} which would contain the best compatibility found so far."))) 
 NIL 
 NIL 
-(-913 UP -1959) 
+(-913 UP -1962) 
 ((|constructor| (NIL "This package \\undocumented")) (|rightFactorCandidate| ((|#1| |#1| (|NonNegativeInteger|)) "\\spad{rightFactorCandidate(p,n)} \\undocumented")) (|leftFactor| (((|Union| |#1| "failed") |#1| |#1|) "\\spad{leftFactor(p,q)} \\undocumented")) (|decompose| (((|Union| (|Record| (|:| |left| |#1|) (|:| |right| |#1|)) "failed") |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{decompose(up,m,n)} \\undocumented") (((|List| |#1|) |#1|) "\\spad{decompose(up)} \\undocumented"))) 
 NIL 
 NIL 
@@ -3594,11 +3594,11 @@ NIL
 NIL 
 (-916 R S) 
 ((|constructor| (NIL "A partial differential \\spad{R}-module with differentiations indexed by a parameter type \\spad{S}. \\blankline"))) 
-((-4459 . T) (-4458 . T)) 
+((-4460 . T) (-4459 . T)) 
 NIL 
 (-917 S) 
 ((|constructor| (NIL "A partial differential ring with differentiations indexed by a parameter type \\spad{S}. \\blankline"))) 
-((-4461 . T)) 
+((-4462 . T)) 
 NIL 
 (-918 A S) 
 ((|constructor| (NIL "\\indented{2}{This category captures the interface of domains stable by partial} \\indented{2}{differentiation with respect to variables from some domain.} See Also: \\indented{2}{PartialDifferentialDomain}")) (D (($ $ (|List| |#2|) (|List| (|NonNegativeInteger|))) "\\spad{D(x,[s1,...,sn],[n1,...,nn])} is a shorthand for \\spad{differentiate(x,[s1,...,sn],[n1,...,nn])}.") (($ $ |#2| (|NonNegativeInteger|)) "\\spad{D(x,s,n)} is a shorthand for \\spad{differentiate(x,s,n)}.") (($ $ (|List| |#2|)) "\\spad{D(x,[s1,...sn])} is a shorthand for \\spad{differentiate(x,[s1,...sn])}.")) (|differentiate| (($ $ (|List| |#2|) (|List| (|NonNegativeInteger|))) "\\spad{differentiate(x,[s1,...,sn],[n1,...,nn])} computes multiple partial derivatives,{} \\spadignore{i.e.}") (($ $ |#2| (|NonNegativeInteger|)) "\\spad{differentiate(x,s,n)} computes multiple partial derivatives,{} \\spadignore{i.e.} \\spad{n}\\spad{-}th derivative of \\spad{x} with respect to \\spad{s}.") (($ $ (|List| |#2|)) "\\spad{differentiate(x,[s1,...sn])} computes successive partial derivatives,{} \\spadignore{i.e.} \\spad{differentiate(...differentiate(x, s1)..., sn)}."))) 
@@ -3611,14 +3611,14 @@ NIL
 (-920 S) 
 ((|constructor| (NIL "\\indented{1}{A PendantTree(\\spad{S})is either a leaf? and is an \\spad{S} or has} a left and a right both PendantTree(\\spad{S})\\spad{'s}")) (|ptree| (($ $ $) "\\spad{ptree(x,y)} \\undocumented") (($ |#1|) "\\spad{ptree(s)} is a leaf? pendant tree"))) 
 NIL 
-((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
 (-921 |n| R) 
 ((|constructor| (NIL "Permanent implements the functions {\\em permanent},{} the permanent for square matrices.")) (|permanent| ((|#2| (|SquareMatrix| |#1| |#2|)) "\\spad{permanent(x)} computes the permanent of a square matrix \\spad{x}. The {\\em permanent} is equivalent to the \\spadfun{determinant} except that coefficients have no change of sign. This function is much more difficult to compute than the {\\em determinant}. The formula used is by \\spad{H}.\\spad{J}. Ryser,{} improved by [Nijenhuis and Wilf,{} \\spad{Ch}. 19]. Note: permanent(\\spad{x}) choose one of three algorithms,{} depending on the underlying ring \\spad{R} and on \\spad{n},{} the number of rows (and columns) of \\spad{x:}\\begin{items} \\item 1. if 2 has an inverse in \\spad{R} we can use the algorithm of \\indented{3}{[Nijenhuis and Wilf,{} \\spad{ch}.19,{}\\spad{p}.158]; if 2 has no inverse,{}} \\indented{3}{some modifications are necessary:} \\item 2. if {\\em n > 6} and \\spad{R} is an integral domain with characteristic \\indented{3}{different from 2 (the algorithm works if and only 2 is not a} \\indented{3}{zero-divisor of \\spad{R} and {\\em characteristic()\\$R ~= 2},{}} \\indented{3}{but how to check that for any given \\spad{R} ?),{}} \\indented{3}{the local function {\\em permanent2} is called;} \\item 3. else,{} the local function {\\em permanent3} is called \\indented{3}{(works for all commutative rings \\spad{R}).} \\end{items}"))) 
 NIL 
 NIL 
 (-922 S) 
 ((|constructor| (NIL "PermutationCategory provides a categorial environment \\indented{1}{for subgroups of bijections of a set (\\spadignore{i.e.} permutations)}")) (< (((|Boolean|) $ $) "\\spad{p < q} is an order relation on permutations. Note: this order is only total if and only if \\spad{S} is totally ordered or \\spad{S} is finite.")) (|orbit| (((|Set| |#1|) $ |#1|) "\\spad{orbit(p, el)} returns the orbit of {\\em el} under the permutation \\spad{p},{} \\spadignore{i.e.} the set which is given by applications of the powers of \\spad{p} to {\\em el}.")) (|support| (((|Set| |#1|) $) "\\spad{support p} returns the set of points not fixed by the permutation \\spad{p}.")) (|cycles| (($ (|List| (|List| |#1|))) "\\spad{cycles(lls)} coerces a list list of cycles {\\em lls} to a permutation,{} each cycle being a list with not repetitions,{} is coerced to the permutation,{} which maps {\\em ls.i} to {\\em ls.i+1},{} indices modulo the length of the list,{} then these permutations are mutiplied. Error: if repetitions occur in one cycle.")) (|cycle| (($ (|List| |#1|)) "\\spad{cycle(ls)} coerces a cycle {\\em ls},{} \\spadignore{i.e.} a list with not repetitions to a permutation,{} which maps {\\em ls.i} to {\\em ls.i+1},{} indices modulo the length of the list. Error: if repetitions occur."))) 
-((-4461 . T)) 
+((-4462 . T)) 
 NIL 
 (-923 S) 
 ((|constructor| (NIL "PermutationGroup implements permutation groups acting on a set \\spad{S},{} \\spadignore{i.e.} all subgroups of the symmetric group of \\spad{S},{} represented as a list of permutations (generators). Note that therefore the objects are not members of the \\Language category \\spadtype{Group}. Using the idea of base and strong generators by Sims,{} basic routines and algorithms are implemented so that the word problem for permutation groups can be solved.")) (|initializeGroupForWordProblem| (((|Void|) $ (|Integer|) (|Integer|)) "\\spad{initializeGroupForWordProblem(gp,m,n)} initializes the group {\\em gp} for the word problem. Notes: (1) with a small integer you get shorter words,{} but the routine takes longer than the standard routine for longer words. (2) be careful: invoking this routine will destroy the possibly stored information about your group (but will recompute it again). (3) users need not call this function normally for the soultion of the word problem.") (((|Void|) $) "\\spad{initializeGroupForWordProblem(gp)} initializes the group {\\em gp} for the word problem. Notes: it calls the other function of this name with parameters 0 and 1: {\\em initializeGroupForWordProblem(gp,0,1)}. Notes: (1) be careful: invoking this routine will destroy the possibly information about your group (but will recompute it again) (2) users need not call this function normally for the soultion of the word problem.")) (<= (((|Boolean|) $ $) "\\spad{gp1 <= gp2} returns \\spad{true} if and only if {\\em gp1} is a subgroup of {\\em gp2}. Note: because of a bug in the parser you have to call this function explicitly by {\\em gp1 <=\\$(PERMGRP S) gp2}.")) (< (((|Boolean|) $ $) "\\spad{gp1 < gp2} returns \\spad{true} if and only if {\\em gp1} is a proper subgroup of {\\em gp2}.")) (|support| (((|Set| |#1|) $) "\\spad{support(gp)} returns the points moved by the group {\\em gp}.")) (|wordInGenerators| (((|List| (|NonNegativeInteger|)) (|Permutation| |#1|) $) "\\spad{wordInGenerators(p,gp)} returns the word for the permutation \\spad{p} in the original generators of the group {\\em gp},{} represented by the indices of the list,{} given by {\\em generators}.")) (|wordInStrongGenerators| (((|List| (|NonNegativeInteger|)) (|Permutation| |#1|) $) "\\spad{wordInStrongGenerators(p,gp)} returns the word for the permutation \\spad{p} in the strong generators of the group {\\em gp},{} represented by the indices of the list,{} given by {\\em strongGenerators}.")) (|member?| (((|Boolean|) (|Permutation| |#1|) $) "\\spad{member?(pp,gp)} answers the question,{} whether the permutation {\\em pp} is in the group {\\em gp} or not.")) (|orbits| (((|Set| (|Set| |#1|)) $) "\\spad{orbits(gp)} returns the orbits of the group {\\em gp},{} \\spadignore{i.e.} it partitions the (finite) of all moved points.")) (|orbit| (((|Set| (|List| |#1|)) $ (|List| |#1|)) "\\spad{orbit(gp,ls)} returns the orbit of the ordered list {\\em ls} under the group {\\em gp}. Note: return type is \\spad{L} \\spad{L} \\spad{S} temporarily because FSET \\spad{L} \\spad{S} has an error.") (((|Set| (|Set| |#1|)) $ (|Set| |#1|)) "\\spad{orbit(gp,els)} returns the orbit of the unordered set {\\em els} under the group {\\em gp}.") (((|Set| |#1|) $ |#1|) "\\spad{orbit(gp,el)} returns the orbit of the element {\\em el} under the group {\\em gp},{} \\spadignore{i.e.} the set of all points gained by applying each group element to {\\em el}.")) (|permutationGroup| (($ (|List| (|Permutation| |#1|))) "\\spad{permutationGroup(ls)} coerces a list of permutations {\\em ls} to the group generated by this list.")) (|wordsForStrongGenerators| (((|List| (|List| (|NonNegativeInteger|))) $) "\\spad{wordsForStrongGenerators(gp)} returns the words for the strong generators of the group {\\em gp} in the original generators of {\\em gp},{} represented by their indices in the list,{} given by {\\em generators}.")) (|strongGenerators| (((|List| (|Permutation| |#1|)) $) "\\spad{strongGenerators(gp)} returns strong generators for the group {\\em gp}.")) (|base| (((|List| |#1|) $) "\\spad{base(gp)} returns a base for the group {\\em gp}.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(gp)} returns the number of points moved by all permutations of the group {\\em gp}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(gp)} returns the order of the group {\\em gp}.")) (|random| (((|Permutation| |#1|) $) "\\spad{random(gp)} returns a random product of maximal 20 generators of the group {\\em gp}. Note: {\\em random(gp)=random(gp,20)}.") (((|Permutation| |#1|) $ (|Integer|)) "\\spad{random(gp,i)} returns a random product of maximal \\spad{i} generators of the group {\\em gp}.")) (|elt| (((|Permutation| |#1|) $ (|NonNegativeInteger|)) "\\spad{elt(gp,i)} returns the \\spad{i}-th generator of the group {\\em gp}.")) (|generators| (((|List| (|Permutation| |#1|)) $) "\\spad{generators(gp)} returns the generators of the group {\\em gp}.")) (|coerce| (($ (|List| (|Permutation| |#1|))) "\\spad{coerce(ls)} coerces a list of permutations {\\em ls} to the group generated by this list.") (((|List| (|Permutation| |#1|)) $) "\\spad{coerce(gp)} returns the generators of the group {\\em gp}."))) 
@@ -3626,8 +3626,8 @@ NIL
 NIL 
 (-924 S) 
 ((|constructor| (NIL "Permutation(\\spad{S}) implements the group of all bijections \\indented{2}{on a set \\spad{S},{} which move only a finite number of points.} \\indented{2}{A permutation is considered as a map from \\spad{S} into \\spad{S}. In particular} \\indented{2}{multiplication is defined as composition of maps:} \\indented{2}{{\\em pi1 * pi2 = pi1 o pi2}.} \\indented{2}{The internal representation of permuatations are two lists} \\indented{2}{of equal length representing preimages and images.}")) (|coerceImages| (($ (|List| |#1|)) "\\spad{coerceImages(ls)} coerces the list {\\em ls} to a permutation whose image is given by {\\em ls} and the preimage is fixed to be {\\em [1,...,n]}. Note: {coerceImages(\\spad{ls})=coercePreimagesImages([1,{}...,{}\\spad{n}],{}\\spad{ls})}. We assume that both preimage and image do not contain repetitions.")) (|fixedPoints| (((|Set| |#1|) $) "\\spad{fixedPoints(p)} returns the points fixed by the permutation \\spad{p}.")) (|sort| (((|List| $) (|List| $)) "\\spad{sort(lp)} sorts a list of permutations {\\em lp} according to cycle structure first according to length of cycles,{} second,{} if \\spad{S} has \\spadtype{Finite} or \\spad{S} has \\spadtype{OrderedSet} according to lexicographical order of entries in cycles of equal length.")) (|odd?| (((|Boolean|) $) "\\spad{odd?(p)} returns \\spad{true} if and only if \\spad{p} is an odd permutation \\spadignore{i.e.} {\\em sign(p)} is {\\em -1}.")) (|even?| (((|Boolean|) $) "\\spad{even?(p)} returns \\spad{true} if and only if \\spad{p} is an even permutation,{} \\spadignore{i.e.} {\\em sign(p)} is 1.")) (|sign| (((|Integer|) $) "\\spad{sign(p)} returns the signum of the permutation \\spad{p},{} \\spad{+1} or \\spad{-1}.")) (|numberOfCycles| (((|NonNegativeInteger|) $) "\\spad{numberOfCycles(p)} returns the number of non-trivial cycles of the permutation \\spad{p}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(p)} returns the order of a permutation \\spad{p} as a group element.")) (|cyclePartition| (((|Partition|) $) "\\spad{cyclePartition(p)} returns the cycle structure of a permutation \\spad{p} including cycles of length 1 only if \\spad{S} is finite.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(p)} retuns the number of points moved by the permutation \\spad{p}.")) (|coerceListOfPairs| (($ (|List| (|List| |#1|))) "\\spad{coerceListOfPairs(lls)} coerces a list of pairs {\\em lls} to a permutation. Error: if not consistent,{} \\spadignore{i.e.} the set of the first elements coincides with the set of second elements. coerce(\\spad{p}) generates output of the permutation \\spad{p} with domain OutputForm.")) (|coerce| (($ (|List| |#1|)) "\\spad{coerce(ls)} coerces a cycle {\\em ls},{} \\spadignore{i.e.} a list with not repetitions to a permutation,{} which maps {\\em ls.i} to {\\em ls.i+1},{} indices modulo the length of the list. Error: if repetitions occur.") (($ (|List| (|List| |#1|))) "\\spad{coerce(lls)} coerces a list of cycles {\\em lls} to a permutation,{} each cycle being a list with no repetitions,{} is coerced to the permutation,{} which maps {\\em ls.i} to {\\em ls.i+1},{} indices modulo the length of the list,{} then these permutations are mutiplied. Error: if repetitions occur in one cycle.")) (|coercePreimagesImages| (($ (|List| (|List| |#1|))) "\\spad{coercePreimagesImages(lls)} coerces the representation {\\em lls} of a permutation as a list of preimages and images to a permutation. We assume that both preimage and image do not contain repetitions.")) (|listRepresentation| (((|Record| (|:| |preimage| (|List| |#1|)) (|:| |image| (|List| |#1|))) $) "\\spad{listRepresentation(p)} produces a representation {\\em rep} of the permutation \\spad{p} as a list of preimages and images,{} \\spad{i}.\\spad{e} \\spad{p} maps {\\em (rep.preimage).k} to {\\em (rep.image).k} for all indices \\spad{k}. Elements of \\spad{S} not in {\\em (rep.preimage).k} are fixed points,{} and these are the only fixed points of the permutation."))) 
-((-4461 . T)) 
-((-2758 (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-861)))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-861)))) 
+((-4462 . T)) 
+((-2760 (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-861)))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-861)))) 
 (-925 R E |VarSet| S) 
 ((|constructor| (NIL "PolynomialFactorizationByRecursion(\\spad{R},{}\\spad{E},{}\\spad{VarSet},{}\\spad{S}) is used for factorization of sparse univariate polynomials over a domain \\spad{S} of multivariate polynomials over \\spad{R}.")) (|factorSFBRlcUnit| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|List| |#3|) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factorSFBRlcUnit(p)} returns the square free factorization of polynomial \\spad{p} (see \\spadfun{factorSquareFreeByRecursion}{PolynomialFactorizationByRecursionUnivariate}) in the case where the leading coefficient of \\spad{p} is a unit.")) (|bivariateSLPEBR| (((|Union| (|List| (|SparseUnivariatePolynomial| |#4|)) "failed") (|List| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|) |#3|) "\\spad{bivariateSLPEBR(lp,p,v)} implements the bivariate case of \\spadfunFrom{solveLinearPolynomialEquationByRecursion}{PolynomialFactorizationByRecursionUnivariate}; its implementation depends on \\spad{R}")) (|randomR| ((|#1|) "\\spad{randomR produces} a random element of \\spad{R}")) (|factorSquareFreeByRecursion| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factorSquareFreeByRecursion(p)} returns the square free factorization of \\spad{p}. This functions performs the recursion step for factorSquareFreePolynomial,{} as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{factorSquareFreePolynomial}).")) (|factorByRecursion| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factorByRecursion(p)} factors polynomial \\spad{p}. This function performs the recursion step for factorPolynomial,{} as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{factorPolynomial})")) (|solveLinearPolynomialEquationByRecursion| (((|Union| (|List| (|SparseUnivariatePolynomial| |#4|)) "failed") (|List| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{solveLinearPolynomialEquationByRecursion([p1,...,pn],p)} returns the list of polynomials \\spad{[q1,...,qn]} such that \\spad{sum qi/pi = p / prod pi},{} a recursion step for solveLinearPolynomialEquation as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{solveLinearPolynomialEquation}). If no such list of \\spad{qi} exists,{} then \"failed\" is returned."))) 
 NIL 
@@ -3642,13 +3642,13 @@ NIL
 ((|HasCategory| |#1| (QUOTE (-146)))) 
 (-928) 
 ((|constructor| (NIL "This is the category of domains that know \"enough\" about themselves in order to factor univariate polynomials over themselves. This will be used in future releases for supporting factorization over finitely generated coefficient fields,{} it is not yet available in the current release of axiom.")) (|charthRoot| (((|Union| $ "failed") $) "\\spad{charthRoot(r)} returns the \\spad{p}\\spad{-}th root of \\spad{r},{} or \"failed\" if none exists in the domain.")) (|conditionP| (((|Union| (|Vector| $) "failed") (|Matrix| $)) "\\spad{conditionP(m)} returns a vector of elements,{} not all zero,{} whose \\spad{p}\\spad{-}th powers (\\spad{p} is the characteristic of the domain) are a solution of the homogenous linear system represented by \\spad{m},{} or \"failed\" is there is no such vector.")) (|solveLinearPolynomialEquation| (((|Union| (|List| (|SparseUnivariatePolynomial| $)) "failed") (|List| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{solveLinearPolynomialEquation([f1, ..., fn], g)} (where the \\spad{fi} are relatively prime to each other) returns a list of \\spad{ai} such that \\spad{g/prod fi = sum ai/fi} or returns \"failed\" if no such list of \\spad{ai}\\spad{'s} exists.")) (|gcdPolynomial| (((|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $)) "\\spad{gcdPolynomial(p,q)} returns the \\spad{gcd} of the univariate polynomials \\spad{p} \\spad{qnd} \\spad{q}.")) (|factorSquareFreePolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{factorSquareFreePolynomial(p)} factors the univariate polynomial \\spad{p} into irreducibles where \\spad{p} is known to be square free and primitive with respect to its main variable.")) (|factorPolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{factorPolynomial(p)} returns the factorization into irreducibles of the univariate polynomial \\spad{p}.")) (|squareFreePolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{squareFreePolynomial(p)} returns the square-free factorization of the univariate polynomial \\spad{p}."))) 
-((-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-929 |p|) 
 ((|constructor| (NIL "PrimeField(\\spad{p}) implements the field with \\spad{p} elements if \\spad{p} is a prime number. Error: if \\spad{p} is not prime. Note: this domain does not check that argument is a prime."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 ((|HasCategory| $ (QUOTE (-148))) (|HasCategory| $ (QUOTE (-146))) (|HasCategory| $ (QUOTE (-379)))) 
-(-930 R0 -1959 UP UPUP R) 
+(-930 R0 -1962 UP UPUP R) 
 ((|constructor| (NIL "This package provides function for testing whether a divisor on a curve is a torsion divisor.")) (|torsionIfCan| (((|Union| (|Record| (|:| |order| (|NonNegativeInteger|)) (|:| |function| |#5|)) "failed") (|FiniteDivisor| |#2| |#3| |#4| |#5|)) "\\spad{torsionIfCan(f)}\\\\ undocumented")) (|torsion?| (((|Boolean|) (|FiniteDivisor| |#2| |#3| |#4| |#5|)) "\\spad{torsion?(f)} \\undocumented")) (|order| (((|Union| (|NonNegativeInteger|) "failed") (|FiniteDivisor| |#2| |#3| |#4| |#5|)) "\\spad{order(f)} \\undocumented"))) 
 NIL 
 NIL 
@@ -3662,7 +3662,7 @@ NIL
 NIL 
 (-933 R) 
 ((|constructor| (NIL "The domain \\spadtype{PartialFraction} implements partial fractions over a euclidean domain \\spad{R}. This requirement on the argument domain allows us to normalize the fractions. Of particular interest are the 2 forms for these fractions. The ``compact\\spad{''} form has only one fractional term per prime in the denominator,{} while the \\spad{``p}-adic\\spad{''} form expands each numerator \\spad{p}-adically via the prime \\spad{p} in the denominator. For computational efficiency,{} the compact form is used,{} though the \\spad{p}-adic form may be gotten by calling the function \\spadfunFrom{padicFraction}{PartialFraction}. For a general euclidean domain,{} it is not known how to factor the denominator. Thus the function \\spadfunFrom{partialFraction}{PartialFraction} takes as its second argument an element of \\spadtype{Factored(R)}.")) (|wholePart| ((|#1| $) "\\spad{wholePart(p)} extracts the whole part of the partial fraction \\spad{p}.")) (|partialFraction| (($ |#1| (|Factored| |#1|)) "\\spad{partialFraction(numer,denom)} is the main function for constructing partial fractions. The second argument is the denominator and should be factored.")) (|padicFraction| (($ $) "\\spad{padicFraction(q)} expands the fraction \\spad{p}-adically in the primes \\spad{p} in the denominator of \\spad{q}. For example,{} \\spad{padicFraction(3/(2**2)) = 1/2 + 1/(2**2)}. Use \\spadfunFrom{compactFraction}{PartialFraction} to return to compact form.")) (|padicallyExpand| (((|SparseUnivariatePolynomial| |#1|) |#1| |#1|) "\\spad{padicallyExpand(p,x)} is a utility function that expands the second argument \\spad{x} \\spad{``p}-adically\\spad{''} in the first.")) (|numberOfFractionalTerms| (((|Integer|) $) "\\spad{numberOfFractionalTerms(p)} computes the number of fractional terms in \\spad{p}. This returns 0 if there is no fractional part.")) (|nthFractionalTerm| (($ $ (|Integer|)) "\\spad{nthFractionalTerm(p,n)} extracts the \\spad{n}th fractional term from the partial fraction \\spad{p}. This returns 0 if the index \\spad{n} is out of range.")) (|firstNumer| ((|#1| $) "\\spad{firstNumer(p)} extracts the numerator of the first fractional term. This returns 0 if there is no fractional part (use \\spadfunFrom{wholePart}{PartialFraction} to get the whole part).")) (|firstDenom| (((|Factored| |#1|) $) "\\spad{firstDenom(p)} extracts the denominator of the first fractional term. This returns 1 if there is no fractional part (use \\spadfunFrom{wholePart}{PartialFraction} to get the whole part).")) (|compactFraction| (($ $) "\\spad{compactFraction(p)} normalizes the partial fraction \\spad{p} to the compact representation. In this form,{} the partial fraction has only one fractional term per prime in the denominator.")) (|coerce| (($ (|Fraction| (|Factored| |#1|))) "\\spad{coerce(f)} takes a fraction with numerator and denominator in factored form and creates a partial fraction. It is necessary for the parts to be factored because it is not known in general how to factor elements of \\spad{R} and this is needed to decompose into partial fractions.") (((|Fraction| |#1|) $) "\\spad{coerce(p)} sums up the components of the partial fraction and returns a single fraction."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-934 R) 
 ((|constructor| (NIL "The package \\spadtype{PartialFractionPackage} gives an easier to use interfact the domain \\spadtype{PartialFraction}. The user gives a fraction of polynomials,{} and a variable and the package converts it to the proper datatype for the \\spadtype{PartialFraction} domain.")) (|partialFraction| (((|Any|) (|Polynomial| |#1|) (|Factored| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{partialFraction(num, facdenom, var)} returns the partial fraction decomposition of the rational function whose numerator is \\spad{num} and whose factored denominator is \\spad{facdenom} with respect to the variable var.") (((|Any|) (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{partialFraction(rf, var)} returns the partial fraction decomposition of the rational function \\spad{rf} with respect to the variable var."))) 
@@ -3676,7 +3676,7 @@ NIL
 ((|constructor| (NIL "PermutationGroupExamples provides permutation groups for some classes of groups: symmetric,{} alternating,{} dihedral,{} cyclic,{} direct products of cyclic,{} which are in fact the finite abelian groups of symmetric groups called Young subgroups. Furthermore,{} Rubik\\spad{'s} group as permutation group of 48 integers and a list of sporadic simple groups derived from the atlas of finite groups.")) (|youngGroup| (((|PermutationGroup| (|Integer|)) (|Partition|)) "\\spad{youngGroup(lambda)} constructs the direct product of the symmetric groups given by the parts of the partition {\\em lambda}.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{youngGroup([n1,...,nk])} constructs the direct product of the symmetric groups {\\em Sn1},{}...,{}{\\em Snk}.")) (|rubiksGroup| (((|PermutationGroup| (|Integer|))) "\\spad{rubiksGroup constructs} the permutation group representing Rubic\\spad{'s} Cube acting on integers {\\em 10*i+j} for {\\em 1 <= i <= 6},{} {\\em 1 <= j <= 8}. The faces of Rubik\\spad{'s} Cube are labelled in the obvious way Front,{} Right,{} Up,{} Down,{} Left,{} Back and numbered from 1 to 6 in this given ordering,{} the pieces on each face (except the unmoveable center piece) are clockwise numbered from 1 to 8 starting with the piece in the upper left corner. The moves of the cube are represented as permutations on these pieces,{} represented as a two digit integer {\\em ij} where \\spad{i} is the numer of theface (1 to 6) and \\spad{j} is the number of the piece on this face. The remaining ambiguities are resolved by looking at the 6 generators,{} which represent a 90 degree turns of the faces,{} or from the following pictorial description. Permutation group representing Rubic\\spad{'s} Cube acting on integers 10*i+j for 1 \\spad{<=} \\spad{i} \\spad{<=} 6,{} 1 \\spad{<=} \\spad{j} \\spad{<=8}. \\blankline\\begin{verbatim}Rubik's Cube:   +-----+ +-- B   where: marks Side # :               / U   /|/              /     / |         F(ront)    <->    1      L -->  +-----+ R|         R(ight)    <->    2             |     |  +         U(p)       <->    3             |  F  | /          D(own)     <->    4             |     |/           L(eft)     <->    5             +-----+            B(ack)     <->    6                ^                |                DThe Cube's surface:                               The pieces on each side            +---+              (except the unmoveable center            |567|              piece) are clockwise numbered            |4U8|              from 1 to 8 starting with the            |321|              piece in the upper left        +---+---+---+          corner (see figure on the        |781|123|345|          left).  The moves of the cube        |6L2|8F4|2R6|          are represented as        |543|765|187|          permutations on these pieces.        +---+---+---+          Each of the pieces is            |123|              represented as a two digit            |8D4|              integer ij where i is the            |765|              # of the side ( 1 to 6 for            +---+              F to B (see table above ))            |567|              and j is the # of the piece.            |4B8|            |321|            +---+\\end{verbatim}")) (|janko2| (((|PermutationGroup| (|Integer|))) "\\spad{janko2 constructs} the janko group acting on the integers 1,{}...,{}100.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{janko2(li)} constructs the janko group acting on the 100 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 100 different entries")) (|mathieu24| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu24 constructs} the mathieu group acting on the integers 1,{}...,{}24.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu24(li)} constructs the mathieu group acting on the 24 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 24 different entries.")) (|mathieu23| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu23 constructs} the mathieu group acting on the integers 1,{}...,{}23.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu23(li)} constructs the mathieu group acting on the 23 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 23 different entries.")) (|mathieu22| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu22 constructs} the mathieu group acting on the integers 1,{}...,{}22.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu22(li)} constructs the mathieu group acting on the 22 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 22 different entries.")) (|mathieu12| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu12 constructs} the mathieu group acting on the integers 1,{}...,{}12.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu12(li)} constructs the mathieu group acting on the 12 integers given in the list {\\em li}. Note: duplicates in the list will be removed Error: if {\\em li} has less or more than 12 different entries.")) (|mathieu11| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu11 constructs} the mathieu group acting on the integers 1,{}...,{}11.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu11(li)} constructs the mathieu group acting on the 11 integers given in the list {\\em li}. Note: duplicates in the list will be removed. error,{} if {\\em li} has less or more than 11 different entries.")) (|dihedralGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{dihedralGroup([i1,...,ik])} constructs the dihedral group of order 2k acting on the integers out of {\\em i1},{}...,{}{\\em ik}. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{dihedralGroup(n)} constructs the dihedral group of order 2n acting on integers 1,{}...,{}\\spad{N}.")) (|cyclicGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{cyclicGroup([i1,...,ik])} constructs the cyclic group of order \\spad{k} acting on the integers {\\em i1},{}...,{}{\\em ik}. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{cyclicGroup(n)} constructs the cyclic group of order \\spad{n} acting on the integers 1,{}...,{}\\spad{n}.")) (|abelianGroup| (((|PermutationGroup| (|Integer|)) (|List| (|PositiveInteger|))) "\\spad{abelianGroup([n1,...,nk])} constructs the abelian group that is the direct product of cyclic groups with order {\\em ni}.")) (|alternatingGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{alternatingGroup(li)} constructs the alternating group acting on the integers in the list {\\em li},{} generators are in general the {\\em n-2}-cycle {\\em (li.3,...,li.n)} and the 3-cycle {\\em (li.1,li.2,li.3)},{} if \\spad{n} is odd and product of the 2-cycle {\\em (li.1,li.2)} with {\\em n-2}-cycle {\\em (li.3,...,li.n)} and the 3-cycle {\\em (li.1,li.2,li.3)},{} if \\spad{n} is even. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{alternatingGroup(n)} constructs the alternating group {\\em An} acting on the integers 1,{}...,{}\\spad{n},{} generators are in general the {\\em n-2}-cycle {\\em (3,...,n)} and the 3-cycle {\\em (1,2,3)} if \\spad{n} is odd and the product of the 2-cycle {\\em (1,2)} with {\\em n-2}-cycle {\\em (3,...,n)} and the 3-cycle {\\em (1,2,3)} if \\spad{n} is even.")) (|symmetricGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{symmetricGroup(li)} constructs the symmetric group acting on the integers in the list {\\em li},{} generators are the cycle given by {\\em li} and the 2-cycle {\\em (li.1,li.2)}. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{symmetricGroup(n)} constructs the symmetric group {\\em Sn} acting on the integers 1,{}...,{}\\spad{n},{} generators are the {\\em n}-cycle {\\em (1,...,n)} and the 2-cycle {\\em (1,2)}."))) 
 NIL 
 NIL 
-(-937 -1959) 
+(-937 -1962) 
 ((|constructor| (NIL "Groebner functions for \\spad{P} \\spad{F} \\indented{2}{This package is an interface package to the groebner basis} package which allows you to compute groebner bases for polynomials in either lexicographic ordering or total degree ordering refined by reverse lex. The input is the ordinary polynomial type which is internally converted to a type with the required ordering. The resulting grobner basis is converted back to ordinary polynomials. The ordering among the variables is controlled by an explicit list of variables which is passed as a second argument. The coefficient domain is allowed to be any \\spad{gcd} domain,{} but the groebner basis is computed as if the polynomials were over a field.")) (|totalGroebner| (((|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{totalGroebner(lp,lv)} computes Groebner basis for the list of polynomials \\spad{lp} with the terms ordered first by total degree and then refined by reverse lexicographic ordering. The variables are ordered by their position in the list \\spad{lv}.")) (|lexGroebner| (((|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{lexGroebner(lp,lv)} computes Groebner basis for the list of polynomials \\spad{lp} in lexicographic order. The variables are ordered by their position in the list \\spad{lv}."))) 
 NIL 
 NIL 
@@ -3686,17 +3686,17 @@ NIL
 NIL 
 (-939) 
 ((|constructor| (NIL "The category of constructive principal ideal domains,{} \\spadignore{i.e.} where a single generator can be constructively found for any ideal given by a finite set of generators. Note that this constructive definition only implies that finitely generated ideals are principal. It is not clear what we would mean by an infinitely generated ideal.")) (|expressIdealMember| (((|Union| (|List| $) "failed") (|List| $) $) "\\spad{expressIdealMember([f1,...,fn],h)} returns a representation of \\spad{h} as a linear combination of the \\spad{fi} or \"failed\" if \\spad{h} is not in the ideal generated by the \\spad{fi}.")) (|principalIdeal| (((|Record| (|:| |coef| (|List| $)) (|:| |generator| $)) (|List| $)) "\\spad{principalIdeal([f1,...,fn])} returns a record whose generator component is a generator of the ideal generated by \\spad{[f1,...,fn]} whose coef component satisfies \\spad{generator = sum (input.i * coef.i)}"))) 
-((-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-940) 
 ((|constructor| (NIL "\\spadtype{PositiveInteger} provides functions for \\indented{2}{positive integers.}")) (|commutative| ((|attribute| "*") "\\spad{commutative(\"*\")} means multiplication is commutative : x*y = \\spad{y*x}")) (|gcd| (($ $ $) "\\spad{gcd(a,b)} computes the greatest common divisor of two positive integers \\spad{a} and \\spad{b}."))) 
-(((-4466 "*") . T)) 
+(((-4467 "*") . T)) 
 NIL 
-(-941 -1959 P) 
+(-941 -1962 P) 
 ((|constructor| (NIL "This package exports interpolation algorithms")) (|LagrangeInterpolation| ((|#2| (|List| |#1|) (|List| |#1|)) "\\spad{LagrangeInterpolation(l1,l2)} \\undocumented"))) 
 NIL 
 NIL 
-(-942 |xx| -1959) 
+(-942 |xx| -1962) 
 ((|constructor| (NIL "This package exports interpolation algorithms")) (|interpolate| (((|SparseUnivariatePolynomial| |#2|) (|List| |#2|) (|List| |#2|)) "\\spad{interpolate(lf,lg)} \\undocumented") (((|UnivariatePolynomial| |#1| |#2|) (|UnivariatePolynomial| |#1| |#2|) (|List| |#2|) (|List| |#2|)) "\\spad{interpolate(u,lf,lg)} \\undocumented"))) 
 NIL 
 NIL 
@@ -3720,7 +3720,7 @@ NIL
 ((|constructor| (NIL "This package exports plotting tools")) (|calcRanges| (((|List| (|Segment| (|DoubleFloat|))) (|List| (|List| (|Point| (|DoubleFloat|))))) "\\spad{calcRanges(l)} \\undocumented"))) 
 NIL 
 NIL 
-(-948 R -1959) 
+(-948 R -1962) 
 ((|constructor| (NIL "Attaching assertions to symbols for pattern matching; Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|multiple| ((|#2| |#2|) "\\spad{multiple(x)} tells the pattern matcher that \\spad{x} should preferably match a multi-term quantity in a sum or product. For matching on lists,{} multiple(\\spad{x}) tells the pattern matcher that \\spad{x} should match a list instead of an element of a list. Error: if \\spad{x} is not a symbol.")) (|optional| ((|#2| |#2|) "\\spad{optional(x)} tells the pattern matcher that \\spad{x} can match an identity (0 in a sum,{} 1 in a product or exponentiation). Error: if \\spad{x} is not a symbol.")) (|constant| ((|#2| |#2|) "\\spad{constant(x)} tells the pattern matcher that \\spad{x} should match only the symbol \\spad{'x} and no other quantity. Error: if \\spad{x} is not a symbol.")) (|assert| ((|#2| |#2| (|Identifier|)) "\\spad{assert(x, s)} makes the assertion \\spad{s} about \\spad{x}. Error: if \\spad{x} is not a symbol."))) 
 NIL 
 NIL 
@@ -3732,7 +3732,7 @@ NIL
 ((|constructor| (NIL "This packages provides tools for matching recursively in type towers.")) (|patternMatch| (((|PatternMatchResult| |#1| |#3|) |#2| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#3|)) "\\spad{patternMatch(expr, pat, res)} matches the pattern \\spad{pat} to the expression \\spad{expr}; res contains the variables of \\spad{pat} which are already matched and their matches. Note: this function handles type towers by changing the predicates and calling the matching function provided by \\spad{A}.")) (|fixPredicate| (((|Mapping| (|Boolean|) |#2|) (|Mapping| (|Boolean|) |#3|)) "\\spad{fixPredicate(f)} returns \\spad{g} defined by \\spad{g}(a) = \\spad{f}(a::B)."))) 
 NIL 
 NIL 
-(-951 S R -1959) 
+(-951 S R -1962) 
 ((|constructor| (NIL "This package provides pattern matching functions on function spaces.")) (|patternMatch| (((|PatternMatchResult| |#1| |#3|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#3|)) "\\spad{patternMatch(expr, pat, res)} matches the pattern \\spad{pat} to the expression \\spad{expr}; res contains the variables of \\spad{pat} which are already matched and their matches."))) 
 NIL 
 NIL 
@@ -3752,11 +3752,11 @@ NIL
 ((|constructor| (NIL "This package provides pattern matching functions on polynomials.")) (|patternMatch| (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|)) "\\spad{patternMatch(p, pat, res)} matches the pattern \\spad{pat} to the polynomial \\spad{p}; res contains the variables of \\spad{pat} which are already matched and their matches.") (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|) (|Mapping| (|PatternMatchResult| |#1| |#5|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|))) "\\spad{patternMatch(p, pat, res, vmatch)} matches the pattern \\spad{pat} to the polynomial \\spad{p}. \\spad{res} contains the variables of \\spad{pat} which are already matched and their matches; vmatch is the matching function to use on the variables."))) 
 NIL 
 ((|HasCategory| |#3| (LIST (QUOTE -901) (|devaluate| |#1|)))) 
-(-956 R -1959 -2018) 
+(-956 R -1962 -2020) 
 ((|constructor| (NIL "Attaching predicates to symbols for pattern matching. Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|suchThat| ((|#2| |#2| (|List| (|Mapping| (|Boolean|) |#3|))) "\\spad{suchThat(x, [f1, f2, ..., fn])} attaches the predicate \\spad{f1} and \\spad{f2} and ... and \\spad{fn} to \\spad{x}. Error: if \\spad{x} is not a symbol.") ((|#2| |#2| (|Mapping| (|Boolean|) |#3|)) "\\spad{suchThat(x, foo)} attaches the predicate foo to \\spad{x}; error if \\spad{x} is not a symbol."))) 
 NIL 
 NIL 
-(-957 -2018) 
+(-957 -2020) 
 ((|constructor| (NIL "Attaching predicates to symbols for pattern matching. Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|suchThat| (((|Expression| (|Integer|)) (|Symbol|) (|List| (|Mapping| (|Boolean|) |#1|))) "\\spad{suchThat(x, [f1, f2, ..., fn])} attaches the predicate \\spad{f1} and \\spad{f2} and ... and \\spad{fn} to \\spad{x}.") (((|Expression| (|Integer|)) (|Symbol|) (|Mapping| (|Boolean|) |#1|)) "\\spad{suchThat(x, foo)} attaches the predicate foo to \\spad{x}."))) 
 NIL 
 NIL 
@@ -3778,8 +3778,8 @@ NIL
 NIL 
 (-962 R) 
 ((|constructor| (NIL "This domain implements points in coordinate space"))) 
-((-4465 . T) (-4464 . T)) 
-((-2758 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2758 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1070))) (-12 (|HasCategory| |#1| (QUOTE (-1023))) (|HasCategory| |#1| (QUOTE (-1070)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-4466 . T) (-4465 . T)) 
+((-2760 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2760 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1070))) (-12 (|HasCategory| |#1| (QUOTE (-1023))) (|HasCategory| |#1| (QUOTE (-1070)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
 (-963 |lv| R) 
 ((|constructor| (NIL "Package with the conversion functions among different kind of polynomials")) (|pToDmp| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|Polynomial| |#2|)) "\\spad{pToDmp(p)} converts \\spad{p} from a \\spadtype{POLY} to a \\spadtype{DMP}.")) (|dmpToP| (((|Polynomial| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{dmpToP(p)} converts \\spad{p} from a \\spadtype{DMP} to a \\spadtype{POLY}.")) (|hdmpToP| (((|Polynomial| |#2|) (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{hdmpToP(p)} converts \\spad{p} from a \\spadtype{HDMP} to a \\spadtype{POLY}.")) (|pToHdmp| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|Polynomial| |#2|)) "\\spad{pToHdmp(p)} converts \\spad{p} from a \\spadtype{POLY} to a \\spadtype{HDMP}.")) (|hdmpToDmp| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{hdmpToDmp(p)} converts \\spad{p} from a \\spadtype{HDMP} to a \\spadtype{DMP}.")) (|dmpToHdmp| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{dmpToHdmp(p)} converts \\spad{p} from a \\spadtype{DMP} to a \\spadtype{HDMP}."))) 
 NIL 
@@ -3799,12 +3799,12 @@ NIL
 (-967 S R E |VarSet|) 
 ((|constructor| (NIL "The category for general multi-variate polynomials over a ring \\spad{R},{} in variables from VarSet,{} with exponents from the \\spadtype{OrderedAbelianMonoidSup}.")) (|canonicalUnitNormal| ((|attribute|) "we can choose a unique representative for each associate class. This normalization is chosen to be normalization of leading coefficient (by default).")) (|squareFreePart| (($ $) "\\spad{squareFreePart(p)} returns product of all the irreducible factors of polynomial \\spad{p} each taken with multiplicity one.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(p)} returns the square free factorization of the polynomial \\spad{p}.")) (|primitivePart| (($ $ |#4|) "\\spad{primitivePart(p,v)} returns the unitCanonical associate of the polynomial \\spad{p} with its content with respect to the variable \\spad{v} divided out.") (($ $) "\\spad{primitivePart(p)} returns the unitCanonical associate of the polynomial \\spad{p} with its content divided out.")) (|content| (($ $ |#4|) "\\spad{content(p,v)} is the \\spad{gcd} of the coefficients of the polynomial \\spad{p} when \\spad{p} is viewed as a univariate polynomial with respect to the variable \\spad{v}. Thus,{} for polynomial 7*x**2*y + 14*x*y**2,{} the \\spad{gcd} of the coefficients with respect to \\spad{x} is 7*y.")) (|discriminant| (($ $ |#4|) "\\spad{discriminant(p,v)} returns the disriminant of the polynomial \\spad{p} with respect to the variable \\spad{v}.")) (|resultant| (($ $ $ |#4|) "\\spad{resultant(p,q,v)} returns the resultant of the polynomials \\spad{p} and \\spad{q} with respect to the variable \\spad{v}.")) (|primitiveMonomials| (((|List| $) $) "\\spad{primitiveMonomials(p)} gives the list of monomials of the polynomial \\spad{p} with their coefficients removed. Note: \\spad{primitiveMonomials(sum(a_(i) X^(i))) = [X^(1),...,X^(n)]}.")) (|variables| (((|List| |#4|) $) "\\spad{variables(p)} returns the list of those variables actually appearing in the polynomial \\spad{p}.")) (|totalDegree| (((|NonNegativeInteger|) $ (|List| |#4|)) "\\spad{totalDegree(p, lv)} returns the maximum sum (over all monomials of polynomial \\spad{p}) of the variables in the list \\spad{lv}.") (((|NonNegativeInteger|) $) "\\spad{totalDegree(p)} returns the largest sum over all monomials of all exponents of a monomial.")) (|isExpt| (((|Union| (|Record| (|:| |var| |#4|) (|:| |exponent| (|NonNegativeInteger|))) "failed") $) "\\spad{isExpt(p)} returns \\spad{[x, n]} if polynomial \\spad{p} has the form \\spad{x**n} and \\spad{n > 0}.")) (|isTimes| (((|Union| (|List| $) "failed") $) "\\spad{isTimes(p)} returns \\spad{[a1,...,an]} if polynomial \\spad{p = a1 ... an} and \\spad{n >= 2},{} and,{} for each \\spad{i},{} \\spad{ai} is either a nontrivial constant in \\spad{R} or else of the form \\spad{x**e},{} where \\spad{e > 0} is an integer and \\spad{x} in a member of VarSet.")) (|isPlus| (((|Union| (|List| $) "failed") $) "\\spad{isPlus(p)} returns \\spad{[m1,...,mn]} if polynomial \\spad{p = m1 + ... + mn} and \\spad{n >= 2} and each \\spad{mi} is a nonzero monomial.")) (|multivariate| (($ (|SparseUnivariatePolynomial| $) |#4|) "\\spad{multivariate(sup,v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.") (($ (|SparseUnivariatePolynomial| |#2|) |#4|) "\\spad{multivariate(sup,v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.")) (|monomial| (($ $ (|List| |#4|) (|List| (|NonNegativeInteger|))) "\\spad{monomial(a,[v1..vn],[e1..en])} returns \\spad{a*prod(vi**ei)}.") (($ $ |#4| (|NonNegativeInteger|)) "\\spad{monomial(a,x,n)} creates the monomial \\spad{a*x**n} where \\spad{a} is a polynomial,{} \\spad{x} is a variable and \\spad{n} is a nonnegative integer.")) (|monicDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $ |#4|) "\\spad{monicDivide(a,b,v)} divides the polynomial a by the polynomial \\spad{b},{} with each viewed as a univariate polynomial in \\spad{v} returning both the quotient and remainder. Error: if \\spad{b} is not monic with respect to \\spad{v}.")) (|minimumDegree| (((|List| (|NonNegativeInteger|)) $ (|List| |#4|)) "\\spad{minimumDegree(p, lv)} gives the list of minimum degrees of the polynomial \\spad{p} with respect to each of the variables in the list \\spad{lv}") (((|NonNegativeInteger|) $ |#4|) "\\spad{minimumDegree(p,v)} gives the minimum degree of polynomial \\spad{p} with respect to \\spad{v},{} \\spadignore{i.e.} viewed a univariate polynomial in \\spad{v}")) (|mainVariable| (((|Union| |#4| "failed") $) "\\spad{mainVariable(p)} returns the biggest variable which actually occurs in the polynomial \\spad{p},{} or \"failed\" if no variables are present. fails precisely if polynomial satisfies ground?")) (|univariate| (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{univariate(p)} converts the multivariate polynomial \\spad{p},{} which should actually involve only one variable,{} into a univariate polynomial in that variable,{} whose coefficients are in the ground ring. Error: if polynomial is genuinely multivariate") (((|SparseUnivariatePolynomial| $) $ |#4|) "\\spad{univariate(p,v)} converts the multivariate polynomial \\spad{p} into a univariate polynomial in \\spad{v},{} whose coefficients are still multivariate polynomials (in all the other variables).")) (|monomials| (((|List| $) $) "\\spad{monomials(p)} returns the list of non-zero monomials of polynomial \\spad{p},{} \\spadignore{i.e.} \\spad{monomials(sum(a_(i) X^(i))) = [a_(1) X^(1),...,a_(n) X^(n)]}.")) (|coefficient| (($ $ (|List| |#4|) (|List| (|NonNegativeInteger|))) "\\spad{coefficient(p, lv, ln)} views the polynomial \\spad{p} as a polynomial in the variables of \\spad{lv} and returns the coefficient of the term \\spad{lv**ln},{} \\spadignore{i.e.} \\spad{prod(lv_i ** ln_i)}.") (($ $ |#4| (|NonNegativeInteger|)) "\\spad{coefficient(p,v,n)} views the polynomial \\spad{p} as a univariate polynomial in \\spad{v} and returns the coefficient of the \\spad{v**n} term.")) (|degree| (((|List| (|NonNegativeInteger|)) $ (|List| |#4|)) "\\spad{degree(p,lv)} gives the list of degrees of polynomial \\spad{p} with respect to each of the variables in the list \\spad{lv}.") (((|NonNegativeInteger|) $ |#4|) "\\spad{degree(p,v)} gives the degree of polynomial \\spad{p} with respect to the variable \\spad{v}."))) 
 NIL 
-((|HasCategory| |#2| (QUOTE (-928))) (|HasAttribute| |#2| (QUOTE -4462)) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#4| (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#4| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#4| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#4| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#4| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) 
+((|HasCategory| |#2| (QUOTE (-928))) (|HasAttribute| |#2| (QUOTE -4463)) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#4| (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#4| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#4| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#4| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#4| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) 
 (-968 R E |VarSet|) 
 ((|constructor| (NIL "The category for general multi-variate polynomials over a ring \\spad{R},{} in variables from VarSet,{} with exponents from the \\spadtype{OrderedAbelianMonoidSup}.")) (|canonicalUnitNormal| ((|attribute|) "we can choose a unique representative for each associate class. This normalization is chosen to be normalization of leading coefficient (by default).")) (|squareFreePart| (($ $) "\\spad{squareFreePart(p)} returns product of all the irreducible factors of polynomial \\spad{p} each taken with multiplicity one.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(p)} returns the square free factorization of the polynomial \\spad{p}.")) (|primitivePart| (($ $ |#3|) "\\spad{primitivePart(p,v)} returns the unitCanonical associate of the polynomial \\spad{p} with its content with respect to the variable \\spad{v} divided out.") (($ $) "\\spad{primitivePart(p)} returns the unitCanonical associate of the polynomial \\spad{p} with its content divided out.")) (|content| (($ $ |#3|) "\\spad{content(p,v)} is the \\spad{gcd} of the coefficients of the polynomial \\spad{p} when \\spad{p} is viewed as a univariate polynomial with respect to the variable \\spad{v}. Thus,{} for polynomial 7*x**2*y + 14*x*y**2,{} the \\spad{gcd} of the coefficients with respect to \\spad{x} is 7*y.")) (|discriminant| (($ $ |#3|) "\\spad{discriminant(p,v)} returns the disriminant of the polynomial \\spad{p} with respect to the variable \\spad{v}.")) (|resultant| (($ $ $ |#3|) "\\spad{resultant(p,q,v)} returns the resultant of the polynomials \\spad{p} and \\spad{q} with respect to the variable \\spad{v}.")) (|primitiveMonomials| (((|List| $) $) "\\spad{primitiveMonomials(p)} gives the list of monomials of the polynomial \\spad{p} with their coefficients removed. Note: \\spad{primitiveMonomials(sum(a_(i) X^(i))) = [X^(1),...,X^(n)]}.")) (|variables| (((|List| |#3|) $) "\\spad{variables(p)} returns the list of those variables actually appearing in the polynomial \\spad{p}.")) (|totalDegree| (((|NonNegativeInteger|) $ (|List| |#3|)) "\\spad{totalDegree(p, lv)} returns the maximum sum (over all monomials of polynomial \\spad{p}) of the variables in the list \\spad{lv}.") (((|NonNegativeInteger|) $) "\\spad{totalDegree(p)} returns the largest sum over all monomials of all exponents of a monomial.")) (|isExpt| (((|Union| (|Record| (|:| |var| |#3|) (|:| |exponent| (|NonNegativeInteger|))) "failed") $) "\\spad{isExpt(p)} returns \\spad{[x, n]} if polynomial \\spad{p} has the form \\spad{x**n} and \\spad{n > 0}.")) (|isTimes| (((|Union| (|List| $) "failed") $) "\\spad{isTimes(p)} returns \\spad{[a1,...,an]} if polynomial \\spad{p = a1 ... an} and \\spad{n >= 2},{} and,{} for each \\spad{i},{} \\spad{ai} is either a nontrivial constant in \\spad{R} or else of the form \\spad{x**e},{} where \\spad{e > 0} is an integer and \\spad{x} in a member of VarSet.")) (|isPlus| (((|Union| (|List| $) "failed") $) "\\spad{isPlus(p)} returns \\spad{[m1,...,mn]} if polynomial \\spad{p = m1 + ... + mn} and \\spad{n >= 2} and each \\spad{mi} is a nonzero monomial.")) (|multivariate| (($ (|SparseUnivariatePolynomial| $) |#3|) "\\spad{multivariate(sup,v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.") (($ (|SparseUnivariatePolynomial| |#1|) |#3|) "\\spad{multivariate(sup,v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.")) (|monomial| (($ $ (|List| |#3|) (|List| (|NonNegativeInteger|))) "\\spad{monomial(a,[v1..vn],[e1..en])} returns \\spad{a*prod(vi**ei)}.") (($ $ |#3| (|NonNegativeInteger|)) "\\spad{monomial(a,x,n)} creates the monomial \\spad{a*x**n} where \\spad{a} is a polynomial,{} \\spad{x} is a variable and \\spad{n} is a nonnegative integer.")) (|monicDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $ |#3|) "\\spad{monicDivide(a,b,v)} divides the polynomial a by the polynomial \\spad{b},{} with each viewed as a univariate polynomial in \\spad{v} returning both the quotient and remainder. Error: if \\spad{b} is not monic with respect to \\spad{v}.")) (|minimumDegree| (((|List| (|NonNegativeInteger|)) $ (|List| |#3|)) "\\spad{minimumDegree(p, lv)} gives the list of minimum degrees of the polynomial \\spad{p} with respect to each of the variables in the list \\spad{lv}") (((|NonNegativeInteger|) $ |#3|) "\\spad{minimumDegree(p,v)} gives the minimum degree of polynomial \\spad{p} with respect to \\spad{v},{} \\spadignore{i.e.} viewed a univariate polynomial in \\spad{v}")) (|mainVariable| (((|Union| |#3| "failed") $) "\\spad{mainVariable(p)} returns the biggest variable which actually occurs in the polynomial \\spad{p},{} or \"failed\" if no variables are present. fails precisely if polynomial satisfies ground?")) (|univariate| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{univariate(p)} converts the multivariate polynomial \\spad{p},{} which should actually involve only one variable,{} into a univariate polynomial in that variable,{} whose coefficients are in the ground ring. Error: if polynomial is genuinely multivariate") (((|SparseUnivariatePolynomial| $) $ |#3|) "\\spad{univariate(p,v)} converts the multivariate polynomial \\spad{p} into a univariate polynomial in \\spad{v},{} whose coefficients are still multivariate polynomials (in all the other variables).")) (|monomials| (((|List| $) $) "\\spad{monomials(p)} returns the list of non-zero monomials of polynomial \\spad{p},{} \\spadignore{i.e.} \\spad{monomials(sum(a_(i) X^(i))) = [a_(1) X^(1),...,a_(n) X^(n)]}.")) (|coefficient| (($ $ (|List| |#3|) (|List| (|NonNegativeInteger|))) "\\spad{coefficient(p, lv, ln)} views the polynomial \\spad{p} as a polynomial in the variables of \\spad{lv} and returns the coefficient of the term \\spad{lv**ln},{} \\spadignore{i.e.} \\spad{prod(lv_i ** ln_i)}.") (($ $ |#3| (|NonNegativeInteger|)) "\\spad{coefficient(p,v,n)} views the polynomial \\spad{p} as a univariate polynomial in \\spad{v} and returns the coefficient of the \\spad{v**n} term.")) (|degree| (((|List| (|NonNegativeInteger|)) $ (|List| |#3|)) "\\spad{degree(p,lv)} gives the list of degrees of polynomial \\spad{p} with respect to each of the variables in the list \\spad{lv}.") (((|NonNegativeInteger|) $ |#3|) "\\spad{degree(p,v)} gives the degree of polynomial \\spad{p} with respect to the variable \\spad{v}."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4463 |has| |#1| (-6 -4463)) (-4460 . T) (-4459 . T) (-4462 . T)) 
 NIL 
-(-969 E V R P -1959) 
+(-969 E V R P -1962) 
 ((|constructor| (NIL "This package transforms multivariate polynomials or fractions into univariate polynomials or fractions,{} and back.")) (|isPower| (((|Union| (|Record| (|:| |val| |#5|) (|:| |exponent| (|Integer|))) "failed") |#5|) "\\spad{isPower(p)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0},{} \"failed\" otherwise.")) (|isExpt| (((|Union| (|Record| (|:| |var| |#2|) (|:| |exponent| (|Integer|))) "failed") |#5|) "\\spad{isExpt(p)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0},{} \"failed\" otherwise.")) (|isTimes| (((|Union| (|List| |#5|) "failed") |#5|) "\\spad{isTimes(p)} returns \\spad{[a1,...,an]} if \\spad{p = a1 ... an} and \\spad{n > 1},{} \"failed\" otherwise.")) (|isPlus| (((|Union| (|List| |#5|) "failed") |#5|) "\\spad{isPlus(p)} returns [\\spad{m1},{}...,{}\\spad{mn}] if \\spad{p = m1 + ... + mn} and \\spad{n > 1},{} \"failed\" otherwise.")) (|multivariate| ((|#5| (|Fraction| (|SparseUnivariatePolynomial| |#5|)) |#2|) "\\spad{multivariate(f, v)} applies both the numerator and denominator of \\spad{f} to \\spad{v}.")) (|univariate| (((|SparseUnivariatePolynomial| |#5|) |#5| |#2| (|SparseUnivariatePolynomial| |#5|)) "\\spad{univariate(f, x, p)} returns \\spad{f} viewed as a univariate polynomial in \\spad{x},{} using the side-condition \\spad{p(x) = 0}.") (((|Fraction| (|SparseUnivariatePolynomial| |#5|)) |#5| |#2|) "\\spad{univariate(f, v)} returns \\spad{f} viewed as a univariate rational function in \\spad{v}.")) (|mainVariable| (((|Union| |#2| "failed") |#5|) "\\spad{mainVariable(f)} returns the highest variable appearing in the numerator or the denominator of \\spad{f},{} \"failed\" if \\spad{f} has no variables.")) (|variables| (((|List| |#2|) |#5|) "\\spad{variables(f)} returns the list of variables appearing in the numerator or the denominator of \\spad{f}."))) 
 NIL 
 NIL 
@@ -3814,9 +3814,9 @@ NIL
 NIL 
 (-971 R) 
 ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials whose variables are arbitrary symbols. The ordering is alphabetic determined by the Symbol type. The coefficient ring may be non commutative,{} but the variables are assumed to commute.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(p,x)} computes the integral of \\spad{p*dx},{} \\spadignore{i.e.} integrates the polynomial \\spad{p} with respect to the variable \\spad{x}."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) 
-((|HasCategory| |#1| (QUOTE (-928))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2758 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2758 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2758 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4462)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) 
-(-972 E V R P -1959) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4463 |has| |#1| (-6 -4463)) (-4460 . T) (-4459 . T) (-4462 . T)) 
+((|HasCategory| |#1| (QUOTE (-928))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2760 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2760 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2760 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4463)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) 
+(-972 E V R P -1962) 
 ((|constructor| (NIL "computes \\spad{n}-th roots of quotients of multivariate polynomials")) (|nthr| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#4|) (|:| |radicand| (|List| |#4|))) |#4| (|NonNegativeInteger|)) "\\spad{nthr(p,n)} should be local but conditional")) (|froot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) |#5| (|NonNegativeInteger|)) "\\spad{froot(f, n)} returns \\spad{[m,c,r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|qroot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) (|Fraction| (|Integer|)) (|NonNegativeInteger|)) "\\spad{qroot(f, n)} returns \\spad{[m,c,r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|rroot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) |#3| (|NonNegativeInteger|)) "\\spad{rroot(f, n)} returns \\spad{[m,c,r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|denom| ((|#4| $) "\\spad{denom(x)} \\undocumented")) (|numer| ((|#4| $) "\\spad{numer(x)} \\undocumented"))) 
 NIL 
 ((|HasCategory| |#3| (QUOTE (-464)))) 
@@ -3838,13 +3838,13 @@ NIL
 NIL 
 (-977 S) 
 ((|constructor| (NIL "\\indented{1}{This provides a fast array type with no bound checking on elt\\spad{'s}.} Minimum index is 0 in this type,{} cannot be changed"))) 
-((-4465 . T) (-4464 . T)) 
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+((-4466 . T) (-4465 . T)) 
+((-2760 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2760 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
 (-978) 
 ((|constructor| (NIL "Category for the functions defined by integrals.")) (|integral| (($ $ (|SegmentBinding| $)) "\\spad{integral(f, x = a..b)} returns the formal definite integral of \\spad{f} \\spad{dx} for \\spad{x} between \\spad{a} and \\spad{b}.") (($ $ (|Symbol|)) "\\spad{integral(f, x)} returns the formal integral of \\spad{f} \\spad{dx}."))) 
 NIL 
 NIL 
-(-979 -1959) 
+(-979 -1962) 
 ((|constructor| (NIL "PrimitiveElement provides functions to compute primitive elements in algebraic extensions.")) (|primitiveElement| (((|Record| (|:| |coef| (|List| (|Integer|))) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#1|))) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|)) (|Symbol|)) "\\spad{primitiveElement([p1,...,pn], [a1,...,an], a)} returns \\spad{[[c1,...,cn], [q1,...,qn], q]} such that then \\spad{k(a1,...,an) = k(a)},{} where \\spad{a = a1 c1 + ... + an cn},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}.") (((|Record| (|:| |coef| (|List| (|Integer|))) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#1|))) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{primitiveElement([p1,...,pn], [a1,...,an])} returns \\spad{[[c1,...,cn], [q1,...,qn], q]} such that then \\spad{k(a1,...,an) = k(a)},{} where \\spad{a = a1 c1 + ... + an cn},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}.") (((|Record| (|:| |coef1| (|Integer|)) (|:| |coef2| (|Integer|)) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|Polynomial| |#1|) (|Symbol|) (|Polynomial| |#1|) (|Symbol|)) "\\spad{primitiveElement(p1, a1, p2, a2)} returns \\spad{[c1, c2, q]} such that \\spad{k(a1, a2) = k(a)} where \\spad{a = c1 a1 + c2 a2, and q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. The \\spad{p2} may involve \\spad{a1},{} but \\spad{p1} must not involve a2. This operation uses \\spadfun{resultant}."))) 
 NIL 
 NIL 
@@ -3858,12 +3858,12 @@ NIL
 NIL 
 (-982 R E) 
 ((|constructor| (NIL "This domain represents generalized polynomials with coefficients (from a not necessarily commutative ring),{} and terms indexed by their exponents (from an arbitrary ordered abelian monoid). This type is used,{} for example,{} by the \\spadtype{DistributedMultivariatePolynomial} domain where the exponent domain is a direct product of non negative integers.")) (|canonicalUnitNormal| ((|attribute|) "canonicalUnitNormal guarantees that the function unitCanonical returns the same representative for all associates of any particular element.")) (|fmecg| (($ $ |#2| |#1| $) "\\spad{fmecg(p1,e,r,p2)} finds \\spad{X} : \\spad{p1} - \\spad{r} * X**e * \\spad{p2}"))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-6 -4462)) (-4458 . T) (-4459 . T) (-4461 . T)) 
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+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4463 |has| |#1| (-6 -4463)) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2760 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-132)))) (|HasAttribute| |#1| (QUOTE -4463))) 
 (-983 A B) 
 ((|constructor| (NIL "This domain implements cartesian product")) (|selectsecond| ((|#2| $) "\\spad{selectsecond(x)} \\undocumented")) (|selectfirst| ((|#1| $) "\\spad{selectfirst(x)} \\undocumented")) (|makeprod| (($ |#1| |#2|) "\\spad{makeprod(a,b)} \\undocumented"))) 
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+((-4462 -12 (|has| |#2| (-485)) (|has| |#1| (-485)))) 
+((-2760 (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805)))) (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-861))))) (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805))))) (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805))))) (-12 (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#2| (QUOTE (-485)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#2| (QUOTE (-485)))) (-12 (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#2| (QUOTE (-738))))) (-12 (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#2| (QUOTE (-379)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#2| (QUOTE (-485)))) (-12 (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#2| (QUOTE (-738)))) (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805))))) (-12 (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#2| (QUOTE (-738)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-861))))) 
 (-984) 
 ((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 18,{} 2008. An `Property' is a pair of name and value.")) (|property| (($ (|Identifier|) (|SExpression|)) "\\spad{property(n,val)} constructs a property with name \\spad{`n'} and value `val'.")) (|value| (((|SExpression|) $) "\\spad{value(p)} returns value of property \\spad{p}")) (|name| (((|Identifier|) $) "\\spad{name(p)} returns the name of property \\spad{p}"))) 
 NIL 
@@ -3886,7 +3886,7 @@ NIL
 NIL 
 (-989 S) 
 ((|constructor| (NIL "A priority queue is a bag of items from an ordered set where the item extracted is always the maximum element.")) (|merge!| (($ $ $) "\\spad{merge!(q,q1)} destructively changes priority queue \\spad{q} to include the values from priority queue \\spad{q1}.")) (|merge| (($ $ $) "\\spad{merge(q1,q2)} returns combines priority queues \\spad{q1} and \\spad{q2} to return a single priority queue \\spad{q}.")) (|max| ((|#1| $) "\\spad{max(q)} returns the maximum element of priority queue \\spad{q}."))) 
-((-4464 . T) (-4465 . T)) 
+((-4465 . T) (-4466 . T)) 
 NIL 
 (-990 R |polR|) 
 ((|constructor| (NIL "This package contains some functions: \\axiomOpFrom{discriminant}{PseudoRemainderSequence},{} \\axiomOpFrom{resultant}{PseudoRemainderSequence},{} \\axiomOpFrom{subResultantGcd}{PseudoRemainderSequence},{} \\axiomOpFrom{chainSubResultants}{PseudoRemainderSequence},{} \\axiomOpFrom{degreeSubResultant}{PseudoRemainderSequence},{} \\axiomOpFrom{lastSubResultant}{PseudoRemainderSequence},{} \\axiomOpFrom{resultantEuclidean}{PseudoRemainderSequence},{} \\axiomOpFrom{subResultantGcdEuclidean}{PseudoRemainderSequence},{} \\axiomOpFrom{semiSubResultantGcdEuclidean1}{PseudoRemainderSequence},{} \\axiomOpFrom{semiSubResultantGcdEuclidean2}{PseudoRemainderSequence},{} etc. This procedures are coming from improvements of the subresultants algorithm. \\indented{2}{Version : 7} \\indented{2}{References : Lionel Ducos \"Optimizations of the subresultant algorithm\"} \\indented{2}{to appear in the Journal of Pure and Applied Algebra.} \\indented{2}{Author : Ducos Lionel \\axiom{Lionel.Ducos@mathlabo.univ-poitiers.\\spad{fr}}}")) (|semiResultantEuclideannaif| (((|Record| (|:| |coef2| |#2|) (|:| |resultant| |#1|)) |#2| |#2|) "\\axiom{resultantEuclidean_naif(\\spad{P},{}\\spad{Q})} returns the semi-extended resultant of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}} computed by means of the naive algorithm.")) (|resultantEuclideannaif| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |resultant| |#1|)) |#2| |#2|) "\\axiom{resultantEuclidean_naif(\\spad{P},{}\\spad{Q})} returns the extended resultant of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}} computed by means of the naive algorithm.")) (|resultantnaif| ((|#1| |#2| |#2|) "\\axiom{resultantEuclidean_naif(\\spad{P},{}\\spad{Q})} returns the resultant of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}} computed by means of the naive algorithm.")) (|nextsousResultant2| ((|#2| |#2| |#2| |#2| |#1|) "\\axiom{nextsousResultant2(\\spad{P},{} \\spad{Q},{} \\spad{Z},{} \\spad{s})} returns the subresultant \\axiom{\\spad{S_}{\\spad{e}-1}} where \\axiom{\\spad{P} ~ \\spad{S_d},{} \\spad{Q} = \\spad{S_}{\\spad{d}-1},{} \\spad{Z} = S_e,{} \\spad{s} = \\spad{lc}(\\spad{S_d})}")) (|Lazard2| ((|#2| |#2| |#1| |#1| (|NonNegativeInteger|)) "\\axiom{Lazard2(\\spad{F},{} \\spad{x},{} \\spad{y},{} \\spad{n})} computes \\axiom{(x/y)\\spad{**}(\\spad{n}-1) * \\spad{F}}")) (|Lazard| ((|#1| |#1| |#1| (|NonNegativeInteger|)) "\\axiom{Lazard(\\spad{x},{} \\spad{y},{} \\spad{n})} computes \\axiom{x**n/y**(\\spad{n}-1)}")) (|divide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2|) "\\axiom{divide(\\spad{F},{}\\spad{G})} computes quotient and rest of the exact euclidean division of \\axiom{\\spad{F}} by \\axiom{\\spad{G}}.")) (|pseudoDivide| (((|Record| (|:| |coef| |#1|) (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2|) "\\axiom{pseudoDivide(\\spad{P},{}\\spad{Q})} computes the pseudoDivide of \\axiom{\\spad{P}} by \\axiom{\\spad{Q}}.")) (|exquo| (((|Vector| |#2|) (|Vector| |#2|) |#1|) "\\axiom{\\spad{v} exquo \\spad{r}} computes the exact quotient of \\axiom{\\spad{v}} by \\axiom{\\spad{r}}")) (* (((|Vector| |#2|) |#1| (|Vector| |#2|)) "\\axiom{\\spad{r} * \\spad{v}} computes the product of \\axiom{\\spad{r}} and \\axiom{\\spad{v}}")) (|gcd| ((|#2| |#2| |#2|) "\\axiom{\\spad{gcd}(\\spad{P},{} \\spad{Q})} returns the \\spad{gcd} of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}.")) (|semiResultantReduitEuclidean| (((|Record| (|:| |coef2| |#2|) (|:| |resultantReduit| |#1|)) |#2| |#2|) "\\axiom{semiResultantReduitEuclidean(\\spad{P},{}\\spad{Q})} returns the \"reduce resultant\" and carries out the equality \\axiom{...\\spad{P} + coef2*Q = resultantReduit(\\spad{P},{}\\spad{Q})}.")) (|resultantReduitEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |resultantReduit| |#1|)) |#2| |#2|) "\\axiom{resultantReduitEuclidean(\\spad{P},{}\\spad{Q})} returns the \"reduce resultant\" and carries out the equality \\axiom{coef1*P + coef2*Q = resultantReduit(\\spad{P},{}\\spad{Q})}.")) (|resultantReduit| ((|#1| |#2| |#2|) "\\axiom{resultantReduit(\\spad{P},{}\\spad{Q})} returns the \"reduce resultant\" of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}.")) (|schema| (((|List| (|NonNegativeInteger|)) |#2| |#2|) "\\axiom{schema(\\spad{P},{}\\spad{Q})} returns the list of degrees of non zero subresultants of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}.")) (|chainSubResultants| (((|List| |#2|) |#2| |#2|) "\\axiom{chainSubResultants(\\spad{P},{} \\spad{Q})} computes the list of non zero subresultants of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}.")) (|semiDiscriminantEuclidean| (((|Record| (|:| |coef2| |#2|) (|:| |discriminant| |#1|)) |#2|) "\\axiom{discriminantEuclidean(\\spad{P})} carries out the equality \\axiom{...\\spad{P} + coef2 * \\spad{D}(\\spad{P}) = discriminant(\\spad{P})}. Warning: \\axiom{degree(\\spad{P}) \\spad{>=} degree(\\spad{Q})}.")) (|discriminantEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |discriminant| |#1|)) |#2|) "\\axiom{discriminantEuclidean(\\spad{P})} carries out the equality \\axiom{coef1 * \\spad{P} + coef2 * \\spad{D}(\\spad{P}) = discriminant(\\spad{P})}.")) (|discriminant| ((|#1| |#2|) "\\axiom{discriminant(\\spad{P},{} \\spad{Q})} returns the discriminant of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}.")) (|semiSubResultantGcdEuclidean1| (((|Record| (|:| |coef1| |#2|) (|:| |gcd| |#2|)) |#2| |#2|) "\\axiom{semiSubResultantGcdEuclidean1(\\spad{P},{}\\spad{Q})} carries out the equality \\axiom{coef1*P + ? \\spad{Q} = \\spad{+/-} S_i(\\spad{P},{}\\spad{Q})} where the degree (not the indice) of the subresultant \\axiom{S_i(\\spad{P},{}\\spad{Q})} is the smaller as possible.")) (|semiSubResultantGcdEuclidean2| (((|Record| (|:| |coef2| |#2|) (|:| |gcd| |#2|)) |#2| |#2|) "\\axiom{semiSubResultantGcdEuclidean2(\\spad{P},{}\\spad{Q})} carries out the equality \\axiom{...\\spad{P} + coef2*Q = \\spad{+/-} S_i(\\spad{P},{}\\spad{Q})} where the degree (not the indice) of the subresultant \\axiom{S_i(\\spad{P},{}\\spad{Q})} is the smaller as possible. Warning: \\axiom{degree(\\spad{P}) \\spad{>=} degree(\\spad{Q})}.")) (|subResultantGcdEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |gcd| |#2|)) |#2| |#2|) "\\axiom{subResultantGcdEuclidean(\\spad{P},{}\\spad{Q})} carries out the equality \\axiom{coef1*P + coef2*Q = \\spad{+/-} S_i(\\spad{P},{}\\spad{Q})} where the degree (not the indice) of the subresultant \\axiom{S_i(\\spad{P},{}\\spad{Q})} is the smaller as possible.")) (|subResultantGcd| ((|#2| |#2| |#2|) "\\axiom{subResultantGcd(\\spad{P},{} \\spad{Q})} returns the \\spad{gcd} of two primitive polynomials \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}.")) (|semiLastSubResultantEuclidean| (((|Record| (|:| |coef2| |#2|) (|:| |subResultant| |#2|)) |#2| |#2|) "\\axiom{semiLastSubResultantEuclidean(\\spad{P},{} \\spad{Q})} computes the last non zero subresultant \\axiom{\\spad{S}} and carries out the equality \\axiom{...\\spad{P} + coef2*Q = \\spad{S}}. Warning: \\axiom{degree(\\spad{P}) \\spad{>=} degree(\\spad{Q})}.")) (|lastSubResultantEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |subResultant| |#2|)) |#2| |#2|) "\\axiom{lastSubResultantEuclidean(\\spad{P},{} \\spad{Q})} computes the last non zero subresultant \\axiom{\\spad{S}} and carries out the equality \\axiom{coef1*P + coef2*Q = \\spad{S}}.")) (|lastSubResultant| ((|#2| |#2| |#2|) "\\axiom{lastSubResultant(\\spad{P},{} \\spad{Q})} computes the last non zero subresultant of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}")) (|semiDegreeSubResultantEuclidean| (((|Record| (|:| |coef2| |#2|) (|:| |subResultant| |#2|)) |#2| |#2| (|NonNegativeInteger|)) "\\axiom{indiceSubResultant(\\spad{P},{} \\spad{Q},{} \\spad{i})} returns a subresultant \\axiom{\\spad{S}} of degree \\axiom{\\spad{d}} and carries out the equality \\axiom{...\\spad{P} + coef2*Q = S_i}. Warning: \\axiom{degree(\\spad{P}) \\spad{>=} degree(\\spad{Q})}.")) (|degreeSubResultantEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |subResultant| |#2|)) |#2| |#2| (|NonNegativeInteger|)) "\\axiom{indiceSubResultant(\\spad{P},{} \\spad{Q},{} \\spad{i})} returns a subresultant \\axiom{\\spad{S}} of degree \\axiom{\\spad{d}} and carries out the equality \\axiom{coef1*P + coef2*Q = S_i}.")) (|degreeSubResultant| ((|#2| |#2| |#2| (|NonNegativeInteger|)) "\\axiom{degreeSubResultant(\\spad{P},{} \\spad{Q},{} \\spad{d})} computes a subresultant of degree \\axiom{\\spad{d}}.")) (|semiIndiceSubResultantEuclidean| (((|Record| (|:| |coef2| |#2|) (|:| |subResultant| |#2|)) |#2| |#2| (|NonNegativeInteger|)) "\\axiom{semiIndiceSubResultantEuclidean(\\spad{P},{} \\spad{Q},{} \\spad{i})} returns the subresultant \\axiom{S_i(\\spad{P},{}\\spad{Q})} and carries out the equality \\axiom{...\\spad{P} + coef2*Q = S_i(\\spad{P},{}\\spad{Q})} Warning: \\axiom{degree(\\spad{P}) \\spad{>=} degree(\\spad{Q})}.")) (|indiceSubResultantEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |subResultant| |#2|)) |#2| |#2| (|NonNegativeInteger|)) "\\axiom{indiceSubResultant(\\spad{P},{} \\spad{Q},{} \\spad{i})} returns the subresultant \\axiom{S_i(\\spad{P},{}\\spad{Q})} and carries out the equality \\axiom{coef1*P + coef2*Q = S_i(\\spad{P},{}\\spad{Q})}")) (|indiceSubResultant| ((|#2| |#2| |#2| (|NonNegativeInteger|)) "\\axiom{indiceSubResultant(\\spad{P},{} \\spad{Q},{} \\spad{i})} returns the subresultant of indice \\axiom{\\spad{i}}")) (|semiResultantEuclidean1| (((|Record| (|:| |coef1| |#2|) (|:| |resultant| |#1|)) |#2| |#2|) "\\axiom{semiResultantEuclidean1(\\spad{P},{}\\spad{Q})} carries out the equality \\axiom{coef1.\\spad{P} + ? \\spad{Q} = resultant(\\spad{P},{}\\spad{Q})}.")) (|semiResultantEuclidean2| (((|Record| (|:| |coef2| |#2|) (|:| |resultant| |#1|)) |#2| |#2|) "\\axiom{semiResultantEuclidean2(\\spad{P},{}\\spad{Q})} carries out the equality \\axiom{...\\spad{P} + coef2*Q = resultant(\\spad{P},{}\\spad{Q})}. Warning: \\axiom{degree(\\spad{P}) \\spad{>=} degree(\\spad{Q})}.")) (|resultantEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |resultant| |#1|)) |#2| |#2|) "\\axiom{resultantEuclidean(\\spad{P},{}\\spad{Q})} carries out the equality \\axiom{coef1*P + coef2*Q = resultant(\\spad{P},{}\\spad{Q})}")) (|resultant| ((|#1| |#2| |#2|) "\\axiom{resultant(\\spad{P},{} \\spad{Q})} returns the resultant of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}"))) 
@@ -3906,7 +3906,7 @@ NIL
 NIL 
 (-994 |Coef| |Expon| |Var|) 
 ((|constructor| (NIL "\\spadtype{PowerSeriesCategory} is the most general power series category with exponents in an ordered abelian monoid.")) (|complete| (($ $) "\\spad{complete(f)} causes all terms of \\spad{f} to be computed. Note: this results in an infinite loop if \\spad{f} has infinitely many terms.")) (|pole?| (((|Boolean|) $) "\\spad{pole?(f)} determines if the power series \\spad{f} has a pole.")) (|variables| (((|List| |#3|) $) "\\spad{variables(f)} returns a list of the variables occuring in the power series \\spad{f}.")) (|degree| ((|#2| $) "\\spad{degree(f)} returns the exponent of the lowest order term of \\spad{f}.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(f)} returns the coefficient of the lowest order term of \\spad{f}")) (|leadingMonomial| (($ $) "\\spad{leadingMonomial(f)} returns the monomial of \\spad{f} of lowest order.")) (|monomial| (($ $ (|List| |#3|) (|List| |#2|)) "\\spad{monomial(a,[x1,..,xk],[n1,..,nk])} computes \\spad{a * x1**n1 * .. * xk**nk}.") (($ $ |#3| |#2|) "\\spad{monomial(a,x,n)} computes \\spad{a*x**n}."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4458 . T) (-4459 . T) (-4461 . T)) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-995) 
 ((|constructor| (NIL "PlottableSpaceCurveCategory is the category of curves in 3-space which may be plotted via the graphics facilities. Functions are provided for obtaining lists of lists of points,{} representing the branches of the curve,{} and for determining the ranges of the \\spad{x-},{} \\spad{y-},{} and \\spad{z}-coordinates of the points on the curve.")) (|zRange| (((|Segment| (|DoubleFloat|)) $) "\\spad{zRange(c)} returns the range of the \\spad{z}-coordinates of the points on the curve \\spad{c}.")) (|yRange| (((|Segment| (|DoubleFloat|)) $) "\\spad{yRange(c)} returns the range of the \\spad{y}-coordinates of the points on the curve \\spad{c}.")) (|xRange| (((|Segment| (|DoubleFloat|)) $) "\\spad{xRange(c)} returns the range of the \\spad{x}-coordinates of the points on the curve \\spad{c}.")) (|listBranches| (((|List| (|List| (|Point| (|DoubleFloat|)))) $) "\\spad{listBranches(c)} returns a list of lists of points,{} representing the branches of the curve \\spad{c}."))) 
@@ -3918,7 +3918,7 @@ NIL
 ((|HasCategory| |#2| (QUOTE (-568)))) 
 (-997 R E |VarSet| P) 
 ((|constructor| (NIL "A category for finite subsets of a polynomial ring. Such a set is only regarded as a set of polynomials and not identified to the ideal it generates. So two distinct sets may generate the same the ideal. Furthermore,{} for \\spad{R} being an integral domain,{} a set of polynomials may be viewed as a representation of the ideal it generates in the polynomial ring \\spad{(R)^(-1) P},{} or the set of its zeros (described for instance by the radical of the previous ideal,{} or a split of the associated affine variety) and so on. So this category provides operations about those different notions.")) (|triangular?| (((|Boolean|) $) "\\axiom{triangular?(\\spad{ps})} returns \\spad{true} iff \\axiom{\\spad{ps}} is a triangular set,{} \\spadignore{i.e.} two distinct polynomials have distinct main variables and no constant lies in \\axiom{\\spad{ps}}.")) (|rewriteIdealWithRemainder| (((|List| |#4|) (|List| |#4|) $) "\\axiom{rewriteIdealWithRemainder(\\spad{lp},{}\\spad{cs})} returns \\axiom{\\spad{lr}} such that every polynomial in \\axiom{\\spad{lr}} is fully reduced in the sense of Groebner bases \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{cs}} and \\axiom{(\\spad{lp},{}\\spad{cs})} and \\axiom{(\\spad{lr},{}\\spad{cs})} generate the same ideal in \\axiom{(\\spad{R})^(\\spad{-1}) \\spad{P}}.")) (|rewriteIdealWithHeadRemainder| (((|List| |#4|) (|List| |#4|) $) "\\axiom{rewriteIdealWithHeadRemainder(\\spad{lp},{}\\spad{cs})} returns \\axiom{\\spad{lr}} such that the leading monomial of every polynomial in \\axiom{\\spad{lr}} is reduced in the sense of Groebner bases \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{cs}} and \\axiom{(\\spad{lp},{}\\spad{cs})} and \\axiom{(\\spad{lr},{}\\spad{cs})} generate the same ideal in \\axiom{(\\spad{R})^(\\spad{-1}) \\spad{P}}.")) (|remainder| (((|Record| (|:| |rnum| |#1|) (|:| |polnum| |#4|) (|:| |den| |#1|)) |#4| $) "\\axiom{remainder(a,{}\\spad{ps})} returns \\axiom{[\\spad{c},{}\\spad{b},{}\\spad{r}]} such that \\axiom{\\spad{b}} is fully reduced in the sense of Groebner bases \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{ps}},{} \\axiom{r*a - \\spad{c*b}} lies in the ideal generated by \\axiom{\\spad{ps}}. Furthermore,{} if \\axiom{\\spad{R}} is a \\spad{gcd}-domain,{} \\axiom{\\spad{b}} is primitive.")) (|headRemainder| (((|Record| (|:| |num| |#4|) (|:| |den| |#1|)) |#4| $) "\\axiom{headRemainder(a,{}\\spad{ps})} returns \\axiom{[\\spad{b},{}\\spad{r}]} such that the leading monomial of \\axiom{\\spad{b}} is reduced in the sense of Groebner bases \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{ps}} and \\axiom{r*a - \\spad{b}} lies in the ideal generated by \\axiom{\\spad{ps}}.")) (|roughUnitIdeal?| (((|Boolean|) $) "\\axiom{roughUnitIdeal?(\\spad{ps})} returns \\spad{true} iff \\axiom{\\spad{ps}} contains some non null element lying in the base ring \\axiom{\\spad{R}}.")) (|roughEqualIdeals?| (((|Boolean|) $ $) "\\axiom{roughEqualIdeals?(\\spad{ps1},{}\\spad{ps2})} returns \\spad{true} iff it can proved that \\axiom{\\spad{ps1}} and \\axiom{\\spad{ps2}} generate the same ideal in \\axiom{(\\spad{R})^(\\spad{-1}) \\spad{P}} without computing Groebner bases.")) (|roughSubIdeal?| (((|Boolean|) $ $) "\\axiom{roughSubIdeal?(\\spad{ps1},{}\\spad{ps2})} returns \\spad{true} iff it can proved that all polynomials in \\axiom{\\spad{ps1}} lie in the ideal generated by \\axiom{\\spad{ps2}} in \\axiom{\\axiom{(\\spad{R})^(\\spad{-1}) \\spad{P}}} without computing Groebner bases.")) (|roughBase?| (((|Boolean|) $) "\\axiom{roughBase?(\\spad{ps})} returns \\spad{true} iff for every pair \\axiom{{\\spad{p},{}\\spad{q}}} of polynomials in \\axiom{\\spad{ps}} their leading monomials are relatively prime.")) (|trivialIdeal?| (((|Boolean|) $) "\\axiom{trivialIdeal?(\\spad{ps})} returns \\spad{true} iff \\axiom{\\spad{ps}} does not contain non-zero elements.")) (|sort| (((|Record| (|:| |under| $) (|:| |floor| $) (|:| |upper| $)) $ |#3|) "\\axiom{sort(\\spad{v},{}\\spad{ps})} returns \\axiom{us,{}\\spad{vs},{}\\spad{ws}} such that \\axiom{us} is \\axiom{collectUnder(\\spad{ps},{}\\spad{v})},{} \\axiom{\\spad{vs}} is \\axiom{collect(\\spad{ps},{}\\spad{v})} and \\axiom{\\spad{ws}} is \\axiom{collectUpper(\\spad{ps},{}\\spad{v})}.")) (|collectUpper| (($ $ |#3|) "\\axiom{collectUpper(\\spad{ps},{}\\spad{v})} returns the set consisting of the polynomials of \\axiom{\\spad{ps}} with main variable greater than \\axiom{\\spad{v}}.")) (|collect| (($ $ |#3|) "\\axiom{collect(\\spad{ps},{}\\spad{v})} returns the set consisting of the polynomials of \\axiom{\\spad{ps}} with \\axiom{\\spad{v}} as main variable.")) (|collectUnder| (($ $ |#3|) "\\axiom{collectUnder(\\spad{ps},{}\\spad{v})} returns the set consisting of the polynomials of \\axiom{\\spad{ps}} with main variable less than \\axiom{\\spad{v}}.")) (|mainVariable?| (((|Boolean|) |#3| $) "\\axiom{mainVariable?(\\spad{v},{}\\spad{ps})} returns \\spad{true} iff \\axiom{\\spad{v}} is the main variable of some polynomial in \\axiom{\\spad{ps}}.")) (|mainVariables| (((|List| |#3|) $) "\\axiom{mainVariables(\\spad{ps})} returns the decreasingly sorted list of the variables which are main variables of some polynomial in \\axiom{\\spad{ps}}.")) (|variables| (((|List| |#3|) $) "\\axiom{variables(\\spad{ps})} returns the decreasingly sorted list of the variables which are variables of some polynomial in \\axiom{\\spad{ps}}.")) (|mvar| ((|#3| $) "\\axiom{mvar(\\spad{ps})} returns the main variable of the non constant polynomial with the greatest main variable,{} if any,{} else an error is returned.")) (|retract| (($ (|List| |#4|)) "\\axiom{retract(\\spad{lp})} returns an element of the domain whose elements are the members of \\axiom{\\spad{lp}} if such an element exists,{} otherwise an error is produced.")) (|retractIfCan| (((|Union| $ "failed") (|List| |#4|)) "\\axiom{retractIfCan(\\spad{lp})} returns an element of the domain whose elements are the members of \\axiom{\\spad{lp}} if such an element exists,{} otherwise \\axiom{\"failed\"} is returned."))) 
-((-4464 . T)) 
+((-4465 . T)) 
 NIL 
 (-998 R E V P) 
 ((|constructor| (NIL "This package provides modest routines for polynomial system solving. The aim of many of the operations of this package is to remove certain factors in some polynomials in order to avoid unnecessary computations in algorithms involving splitting techniques by partial factorization.")) (|removeIrreducibleRedundantFactors| (((|List| |#4|) (|List| |#4|) (|List| |#4|)) "\\axiom{removeIrreducibleRedundantFactors(\\spad{lp},{}\\spad{lq})} returns the same as \\axiom{irreducibleFactors(concat(\\spad{lp},{}\\spad{lq}))} assuming that \\axiom{irreducibleFactors(\\spad{lp})} returns \\axiom{\\spad{lp}} up to replacing some polynomial \\axiom{\\spad{pj}} in \\axiom{\\spad{lp}} by some polynomial \\axiom{\\spad{qj}} associated to \\axiom{\\spad{pj}}.")) (|lazyIrreducibleFactors| (((|List| |#4|) (|List| |#4|)) "\\axiom{lazyIrreducibleFactors(\\spad{lp})} returns \\axiom{\\spad{lf}} such that if \\axiom{\\spad{lp} = [\\spad{p1},{}...,{}\\spad{pn}]} and \\axiom{\\spad{lf} = [\\spad{f1},{}...,{}\\spad{fm}]} then \\axiom{p1*p2*...*pn=0} means \\axiom{f1*f2*...*fm=0},{} and the \\axiom{\\spad{fi}} are irreducible over \\axiom{\\spad{R}} and are pairwise distinct. The algorithm tries to avoid factorization into irreducible factors as far as possible and makes previously use of \\spad{gcd} techniques over \\axiom{\\spad{R}}.")) (|irreducibleFactors| (((|List| |#4|) (|List| |#4|)) "\\axiom{irreducibleFactors(\\spad{lp})} returns \\axiom{\\spad{lf}} such that if \\axiom{\\spad{lp} = [\\spad{p1},{}...,{}\\spad{pn}]} and \\axiom{\\spad{lf} = [\\spad{f1},{}...,{}\\spad{fm}]} then \\axiom{p1*p2*...*pn=0} means \\axiom{f1*f2*...*fm=0},{} and the \\axiom{\\spad{fi}} are irreducible over \\axiom{\\spad{R}} and are pairwise distinct.")) (|removeRedundantFactorsInPols| (((|List| |#4|) (|List| |#4|) (|List| |#4|)) "\\axiom{removeRedundantFactorsInPols(\\spad{lp},{}\\spad{lf})} returns \\axiom{newlp} where \\axiom{newlp} is obtained from \\axiom{\\spad{lp}} by removing in every polynomial \\axiom{\\spad{p}} of \\axiom{\\spad{lp}} any non trivial factor of any polynomial \\axiom{\\spad{f}} in \\axiom{\\spad{lf}}. Moreover,{} squares over \\axiom{\\spad{R}} are first removed in every polynomial \\axiom{\\spad{lp}}.")) (|removeRedundantFactorsInContents| (((|List| |#4|) (|List| |#4|) (|List| |#4|)) "\\axiom{removeRedundantFactorsInContents(\\spad{lp},{}\\spad{lf})} returns \\axiom{newlp} where \\axiom{newlp} is obtained from \\axiom{\\spad{lp}} by removing in the content of every polynomial of \\axiom{\\spad{lp}} any non trivial factor of any polynomial \\axiom{\\spad{f}} in \\axiom{\\spad{lf}}. Moreover,{} squares over \\axiom{\\spad{R}} are first removed in the content of every polynomial of \\axiom{\\spad{lp}}.")) (|removeRoughlyRedundantFactorsInContents| (((|List| |#4|) (|List| |#4|) (|List| |#4|)) "\\axiom{removeRoughlyRedundantFactorsInContents(\\spad{lp},{}\\spad{lf})} returns \\axiom{newlp}where \\axiom{newlp} is obtained from \\axiom{\\spad{lp}} by removing in the content of every polynomial of \\axiom{\\spad{lp}} any occurence of a polynomial \\axiom{\\spad{f}} in \\axiom{\\spad{lf}}. Moreover,{} squares over \\axiom{\\spad{R}} are first removed in the content of every polynomial of \\axiom{\\spad{lp}}.")) (|univariatePolynomialsGcds| (((|List| |#4|) (|List| |#4|) (|Boolean|)) "\\axiom{univariatePolynomialsGcds(\\spad{lp},{}opt)} returns the same as \\axiom{univariatePolynomialsGcds(\\spad{lp})} if \\axiom{opt} is \\axiom{\\spad{false}} and if the previous operation does not return any non null and constant polynomial,{} else return \\axiom{[1]}.") (((|List| |#4|) (|List| |#4|)) "\\axiom{univariatePolynomialsGcds(\\spad{lp})} returns \\axiom{\\spad{lg}} where \\axiom{\\spad{lg}} is a list of the gcds of every pair in \\axiom{\\spad{lp}} of univariate polynomials in the same main variable.")) (|squareFreeFactors| (((|List| |#4|) |#4|) "\\axiom{squareFreeFactors(\\spad{p})} returns the square-free factors of \\axiom{\\spad{p}} over \\axiom{\\spad{R}}")) (|rewriteIdealWithQuasiMonicGenerators| (((|List| |#4|) (|List| |#4|) (|Mapping| (|Boolean|) |#4| |#4|) (|Mapping| |#4| |#4| |#4|)) "\\axiom{rewriteIdealWithQuasiMonicGenerators(\\spad{lp},{}redOp?,{}redOp)} returns \\axiom{\\spad{lq}} where \\axiom{\\spad{lq}} and \\axiom{\\spad{lp}} generate the same ideal in \\axiom{\\spad{R^}(\\spad{-1}) \\spad{P}} and \\axiom{\\spad{lq}} has rank not higher than the one of \\axiom{\\spad{lp}}. Moreover,{} \\axiom{\\spad{lq}} is computed by reducing \\axiom{\\spad{lp}} \\spad{w}.\\spad{r}.\\spad{t}. some basic set of the ideal generated by the quasi-monic polynomials in \\axiom{\\spad{lp}}.")) (|rewriteSetByReducingWithParticularGenerators| (((|List| |#4|) (|List| |#4|) (|Mapping| (|Boolean|) |#4|) (|Mapping| (|Boolean|) |#4| |#4|) (|Mapping| |#4| |#4| |#4|)) "\\axiom{rewriteSetByReducingWithParticularGenerators(\\spad{lp},{}pred?,{}redOp?,{}redOp)} returns \\axiom{\\spad{lq}} where \\axiom{\\spad{lq}} is computed by the following algorithm. Chose a basic set \\spad{w}.\\spad{r}.\\spad{t}. the reduction-test \\axiom{redOp?} among the polynomials satisfying property \\axiom{pred?},{} if it is empty then leave,{} else reduce the other polynomials by this basic set \\spad{w}.\\spad{r}.\\spad{t}. the reduction-operation \\axiom{redOp}. Repeat while another basic set with smaller rank can be computed. See code. If \\axiom{pred?} is \\axiom{quasiMonic?} the ideal is unchanged.")) (|crushedSet| (((|List| |#4|) (|List| |#4|)) "\\axiom{crushedSet(\\spad{lp})} returns \\axiom{\\spad{lq}} such that \\axiom{\\spad{lp}} and and \\axiom{\\spad{lq}} generate the same ideal and no rough basic sets reduce (in the sense of Groebner bases) the other polynomials in \\axiom{\\spad{lq}}.")) (|roughBasicSet| (((|Union| (|Record| (|:| |bas| (|GeneralTriangularSet| |#1| |#2| |#3| |#4|)) (|:| |top| (|List| |#4|))) "failed") (|List| |#4|)) "\\axiom{roughBasicSet(\\spad{lp})} returns the smallest (with Ritt-Wu ordering) triangular set contained in \\axiom{\\spad{lp}}.")) (|interReduce| (((|List| |#4|) (|List| |#4|)) "\\axiom{interReduce(\\spad{lp})} returns \\axiom{\\spad{lq}} such that \\axiom{\\spad{lp}} and \\axiom{\\spad{lq}} generate the same ideal and no polynomial in \\axiom{\\spad{lq}} is reducuble by the others in the sense of Groebner bases. Since no assumptions are required the result may depend on the ordering the reductions are performed.")) (|removeRoughlyRedundantFactorsInPol| ((|#4| |#4| (|List| |#4|)) "\\axiom{removeRoughlyRedundantFactorsInPol(\\spad{p},{}\\spad{lf})} returns the same as removeRoughlyRedundantFactorsInPols([\\spad{p}],{}\\spad{lf},{}\\spad{true})")) (|removeRoughlyRedundantFactorsInPols| (((|List| |#4|) (|List| |#4|) (|List| |#4|) (|Boolean|)) "\\axiom{removeRoughlyRedundantFactorsInPols(\\spad{lp},{}\\spad{lf},{}opt)} returns the same as \\axiom{removeRoughlyRedundantFactorsInPols(\\spad{lp},{}\\spad{lf})} if \\axiom{opt} is \\axiom{\\spad{false}} and if the previous operation does not return any non null and constant polynomial,{} else return \\axiom{[1]}.") (((|List| |#4|) (|List| |#4|) (|List| |#4|)) "\\axiom{removeRoughlyRedundantFactorsInPols(\\spad{lp},{}\\spad{lf})} returns \\axiom{newlp}where \\axiom{newlp} is obtained from \\axiom{\\spad{lp}} by removing in every polynomial \\axiom{\\spad{p}} of \\axiom{\\spad{lp}} any occurence of a polynomial \\axiom{\\spad{f}} in \\axiom{\\spad{lf}}. This may involve a lot of exact-quotients computations.")) (|bivariatePolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|List| |#4|)) "\\axiom{bivariatePolynomials(\\spad{lp})} returns \\axiom{\\spad{bps},{}nbps} where \\axiom{\\spad{bps}} is a list of the bivariate polynomials,{} and \\axiom{nbps} are the other ones.")) (|bivariate?| (((|Boolean|) |#4|) "\\axiom{bivariate?(\\spad{p})} returns \\spad{true} iff \\axiom{\\spad{p}} involves two and only two variables.")) (|linearPolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|List| |#4|)) "\\axiom{linearPolynomials(\\spad{lp})} returns \\axiom{\\spad{lps},{}nlps} where \\axiom{\\spad{lps}} is a list of the linear polynomials in \\spad{lp},{} and \\axiom{nlps} are the other ones.")) (|linear?| (((|Boolean|) |#4|) "\\axiom{linear?(\\spad{p})} returns \\spad{true} iff \\axiom{\\spad{p}} does not lie in the base ring \\axiom{\\spad{R}} and has main degree \\axiom{1}.")) (|univariatePolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|List| |#4|)) "\\axiom{univariatePolynomials(\\spad{lp})} returns \\axiom{ups,{}nups} where \\axiom{ups} is a list of the univariate polynomials,{} and \\axiom{nups} are the other ones.")) (|univariate?| (((|Boolean|) |#4|) "\\axiom{univariate?(\\spad{p})} returns \\spad{true} iff \\axiom{\\spad{p}} involves one and only one variable.")) (|quasiMonicPolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|List| |#4|)) "\\axiom{quasiMonicPolynomials(\\spad{lp})} returns \\axiom{qmps,{}nqmps} where \\axiom{qmps} is a list of the quasi-monic polynomials in \\axiom{\\spad{lp}} and \\axiom{nqmps} are the other ones.")) (|selectAndPolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|List| (|Mapping| (|Boolean|) |#4|)) (|List| |#4|)) "\\axiom{selectAndPolynomials(lpred?,{}\\spad{ps})} returns \\axiom{\\spad{gps},{}\\spad{bps}} where \\axiom{\\spad{gps}} is a list of the polynomial \\axiom{\\spad{p}} in \\axiom{\\spad{ps}} such that \\axiom{pred?(\\spad{p})} holds for every \\axiom{pred?} in \\axiom{lpred?} and \\axiom{\\spad{bps}} are the other ones.")) (|selectOrPolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|List| (|Mapping| (|Boolean|) |#4|)) (|List| |#4|)) "\\axiom{selectOrPolynomials(lpred?,{}\\spad{ps})} returns \\axiom{\\spad{gps},{}\\spad{bps}} where \\axiom{\\spad{gps}} is a list of the polynomial \\axiom{\\spad{p}} in \\axiom{\\spad{ps}} such that \\axiom{pred?(\\spad{p})} holds for some \\axiom{pred?} in \\axiom{lpred?} and \\axiom{\\spad{bps}} are the other ones.")) (|selectPolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|Mapping| (|Boolean|) |#4|) (|List| |#4|)) "\\axiom{selectPolynomials(pred?,{}\\spad{ps})} returns \\axiom{\\spad{gps},{}\\spad{bps}} where \\axiom{\\spad{gps}} is a list of the polynomial \\axiom{\\spad{p}} in \\axiom{\\spad{ps}} such that \\axiom{pred?(\\spad{p})} holds and \\axiom{\\spad{bps}} are the other ones.")) (|probablyZeroDim?| (((|Boolean|) (|List| |#4|)) "\\axiom{probablyZeroDim?(\\spad{lp})} returns \\spad{true} iff the number of polynomials in \\axiom{\\spad{lp}} is not smaller than the number of variables occurring in these polynomials.")) (|possiblyNewVariety?| (((|Boolean|) (|List| |#4|) (|List| (|List| |#4|))) "\\axiom{possiblyNewVariety?(newlp,{}\\spad{llp})} returns \\spad{true} iff for every \\axiom{\\spad{lp}} in \\axiom{\\spad{llp}} certainlySubVariety?(newlp,{}\\spad{lp}) does not hold.")) (|certainlySubVariety?| (((|Boolean|) (|List| |#4|) (|List| |#4|)) "\\axiom{certainlySubVariety?(newlp,{}\\spad{lp})} returns \\spad{true} iff for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}} the remainder of \\axiom{\\spad{p}} by \\axiom{newlp} using the division algorithm of Groebner techniques is zero.")) (|unprotectedRemoveRedundantFactors| (((|List| |#4|) |#4| |#4|) "\\axiom{unprotectedRemoveRedundantFactors(\\spad{p},{}\\spad{q})} returns the same as \\axiom{removeRedundantFactors(\\spad{p},{}\\spad{q})} but does assume that neither \\axiom{\\spad{p}} nor \\axiom{\\spad{q}} lie in the base ring \\axiom{\\spad{R}} and assumes that \\axiom{infRittWu?(\\spad{p},{}\\spad{q})} holds. Moreover,{} if \\axiom{\\spad{R}} is \\spad{gcd}-domain,{} then \\axiom{\\spad{p}} and \\axiom{\\spad{q}} are assumed to be square free.")) (|removeSquaresIfCan| (((|List| |#4|) (|List| |#4|)) "\\axiom{removeSquaresIfCan(\\spad{lp})} returns \\axiom{removeDuplicates [squareFreePart(\\spad{p})\\$\\spad{P} for \\spad{p} in \\spad{lp}]} if \\axiom{\\spad{R}} is \\spad{gcd}-domain else returns \\axiom{\\spad{lp}}.")) (|removeRedundantFactors| (((|List| |#4|) (|List| |#4|) (|List| |#4|) (|Mapping| (|List| |#4|) (|List| |#4|))) "\\axiom{removeRedundantFactors(\\spad{lp},{}\\spad{lq},{}remOp)} returns the same as \\axiom{concat(remOp(removeRoughlyRedundantFactorsInPols(\\spad{lp},{}\\spad{lq})),{}\\spad{lq})} assuming that \\axiom{remOp(\\spad{lq})} returns \\axiom{\\spad{lq}} up to similarity.") (((|List| |#4|) (|List| |#4|) (|List| |#4|)) "\\axiom{removeRedundantFactors(\\spad{lp},{}\\spad{lq})} returns the same as \\axiom{removeRedundantFactors(concat(\\spad{lp},{}\\spad{lq}))} assuming that \\axiom{removeRedundantFactors(\\spad{lp})} returns \\axiom{\\spad{lp}} up to replacing some polynomial \\axiom{\\spad{pj}} in \\axiom{\\spad{lp}} by some polynomial \\axiom{\\spad{qj}} associated to \\axiom{\\spad{pj}}.") (((|List| |#4|) (|List| |#4|) |#4|) "\\axiom{removeRedundantFactors(\\spad{lp},{}\\spad{q})} returns the same as \\axiom{removeRedundantFactors(cons(\\spad{q},{}\\spad{lp}))} assuming that \\axiom{removeRedundantFactors(\\spad{lp})} returns \\axiom{\\spad{lp}} up to replacing some polynomial \\axiom{\\spad{pj}} in \\axiom{\\spad{lp}} by some some polynomial \\axiom{\\spad{qj}} associated to \\axiom{\\spad{pj}}.") (((|List| |#4|) |#4| |#4|) "\\axiom{removeRedundantFactors(\\spad{p},{}\\spad{q})} returns the same as \\axiom{removeRedundantFactors([\\spad{p},{}\\spad{q}])}") (((|List| |#4|) (|List| |#4|)) "\\axiom{removeRedundantFactors(\\spad{lp})} returns \\axiom{\\spad{lq}} such that if \\axiom{\\spad{lp} = [\\spad{p1},{}...,{}\\spad{pn}]} and \\axiom{\\spad{lq} = [\\spad{q1},{}...,{}\\spad{qm}]} then the product \\axiom{p1*p2*...\\spad{*pn}} vanishes iff the product \\axiom{q1*q2*...\\spad{*qm}} vanishes,{} and the product of degrees of the \\axiom{\\spad{qi}} is not greater than the one of the \\axiom{\\spad{pj}},{} and no polynomial in \\axiom{\\spad{lq}} divides another polynomial in \\axiom{\\spad{lq}}. In particular,{} polynomials lying in the base ring \\axiom{\\spad{R}} are removed. Moreover,{} \\axiom{\\spad{lq}} is sorted \\spad{w}.\\spad{r}.\\spad{t} \\axiom{infRittWu?}. Furthermore,{} if \\spad{R} is \\spad{gcd}-domain,{} the polynomials in \\axiom{\\spad{lq}} are pairwise without common non trivial factor."))) 
@@ -3934,7 +3934,7 @@ NIL
 NIL 
 (-1001 R) 
 ((|constructor| (NIL "PointCategory is the category of points in space which may be plotted via the graphics facilities. Functions are provided for defining points and handling elements of points.")) (|extend| (($ $ (|List| |#1|)) "\\spad{extend(x,l,r)} \\undocumented")) (|cross| (($ $ $) "\\spad{cross(p,q)} computes the cross product of the two points \\spad{p} and \\spad{q}. Error if the \\spad{p} and \\spad{q} are not 3 dimensional")) (|dimension| (((|PositiveInteger|) $) "\\spad{dimension(s)} returns the dimension of the point category \\spad{s}.")) (|point| (($ (|List| |#1|)) "\\spad{point(l)} returns a point category defined by a list \\spad{l} of elements from the domain \\spad{R}."))) 
-((-4465 . T) (-4464 . T)) 
+((-4466 . T) (-4465 . T)) 
 NIL 
 (-1002 R1 R2) 
 ((|constructor| (NIL "This package \\undocumented")) (|map| (((|Point| |#2|) (|Mapping| |#2| |#1|) (|Point| |#1|)) "\\spad{map(f,p)} \\undocumented"))) 
@@ -3952,7 +3952,7 @@ NIL
 ((|constructor| (NIL "This package \\undocumented{}")) (|map| ((|#4| (|Mapping| |#4| (|Polynomial| |#1|)) |#4|) "\\spad{map(f,p)} \\undocumented{}")) (|pushup| ((|#4| |#4| (|List| |#3|)) "\\spad{pushup(p,lv)} \\undocumented{}") ((|#4| |#4| |#3|) "\\spad{pushup(p,v)} \\undocumented{}")) (|pushdown| ((|#4| |#4| (|List| |#3|)) "\\spad{pushdown(p,lv)} \\undocumented{}") ((|#4| |#4| |#3|) "\\spad{pushdown(p,v)} \\undocumented{}")) (|variable| (((|Union| $ "failed") (|Symbol|)) "\\spad{variable(s)} makes an element from symbol \\spad{s} or fails")) (|convert| (((|Symbol|) $) "\\spad{convert(x)} converts \\spad{x} to a symbol"))) 
 NIL 
 NIL 
-(-1006 K R UP -1959) 
+(-1006 K R UP -1962) 
 ((|constructor| (NIL "In this package \\spad{K} is a finite field,{} \\spad{R} is a ring of univariate polynomials over \\spad{K},{} and \\spad{F} is a monogenic algebra over \\spad{R}. We require that \\spad{F} is monogenic,{} \\spadignore{i.e.} that \\spad{F = K[x,y]/(f(x,y))},{} because the integral basis algorithm used will factor the polynomial \\spad{f(x,y)}. The package provides a function to compute the integral closure of \\spad{R} in the quotient field of \\spad{F} as well as a function to compute a \"local integral basis\" at a specific prime.")) (|reducedDiscriminant| ((|#2| |#3|) "\\spad{reducedDiscriminant(up)} \\undocumented")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) |#2|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv] } containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of the framed algebra \\spad{F}. \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If 'basis' is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix 'basisInv' contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if 'basisInv' is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv] } containing information regarding the integral closure of \\spad{R} in the quotient field of the framed algebra \\spad{F}. \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If 'basis' is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix 'basisInv' contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if 'basisInv' is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}."))) 
 NIL 
 NIL 
@@ -3982,7 +3982,7 @@ NIL
 ((|HasCategory| |#2| (QUOTE (-928))) (|HasCategory| |#2| (QUOTE (-557))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-1043))) (|HasCategory| |#2| (QUOTE (-832))) (|HasCategory| |#2| (QUOTE (-861))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-1173)))) 
 (-1013 S) 
 ((|constructor| (NIL "QuotientField(\\spad{S}) is the category of fractions of an Integral Domain \\spad{S}.")) (|floor| ((|#1| $) "\\spad{floor(x)} returns the largest integral element below \\spad{x}.")) (|ceiling| ((|#1| $) "\\spad{ceiling(x)} returns the smallest integral element above \\spad{x}.")) (|random| (($) "\\spad{random()} returns a random fraction.")) (|fractionPart| (($ $) "\\spad{fractionPart(x)} returns the fractional part of \\spad{x}. \\spad{x} = wholePart(\\spad{x}) + fractionPart(\\spad{x})")) (|wholePart| ((|#1| $) "\\spad{wholePart(x)} returns the whole part of the fraction \\spad{x} \\spadignore{i.e.} the truncated quotient of the numerator by the denominator.")) (|denominator| (($ $) "\\spad{denominator(x)} is the denominator of the fraction \\spad{x} converted to \\%.")) (|numerator| (($ $) "\\spad{numerator(x)} is the numerator of the fraction \\spad{x} converted to \\%.")) (|denom| ((|#1| $) "\\spad{denom(x)} returns the denominator of the fraction \\spad{x}.")) (|numer| ((|#1| $) "\\spad{numer(x)} returns the numerator of the fraction \\spad{x}.")) (/ (($ |#1| |#1|) "\\spad{d1 / d2} returns the fraction \\spad{d1} divided by \\spad{d2}."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-1014 |n| K) 
 ((|constructor| (NIL "This domain provides modest support for quadratic forms.")) (|matrix| (((|SquareMatrix| |#1| |#2|) $) "\\spad{matrix(qf)} creates a square matrix from the quadratic form \\spad{qf}.")) (|quadraticForm| (($ (|SquareMatrix| |#1| |#2|)) "\\spad{quadraticForm(m)} creates a quadratic form from a symmetric,{} square matrix \\spad{m}."))) 
@@ -3994,7 +3994,7 @@ NIL
 NIL 
 (-1016 S) 
 ((|constructor| (NIL "A queue is a bag where the first item inserted is the first item extracted.")) (|back| ((|#1| $) "\\spad{back(q)} returns the element at the back of the queue. The queue \\spad{q} is unchanged by this operation. Error: if \\spad{q} is empty.")) (|front| ((|#1| $) "\\spad{front(q)} returns the element at the front of the queue. The queue \\spad{q} is unchanged by this operation. Error: if \\spad{q} is empty.")) (|length| (((|NonNegativeInteger|) $) "\\spad{length(q)} returns the number of elements in the queue. Note: \\axiom{length(\\spad{q}) = \\spad{#q}}.")) (|rotate!| (($ $) "\\spad{rotate! q} rotates queue \\spad{q} so that the element at the front of the queue goes to the back of the queue. Note: rotate! \\spad{q} is equivalent to enqueue!(dequeue!(\\spad{q})).")) (|dequeue!| ((|#1| $) "\\spad{dequeue! s} destructively extracts the first (top) element from queue \\spad{q}. The element previously second in the queue becomes the first element. Error: if \\spad{q} is empty.")) (|enqueue!| ((|#1| |#1| $) "\\spad{enqueue!(x,q)} inserts \\spad{x} into the queue \\spad{q} at the back end."))) 
-((-4464 . T) (-4465 . T)) 
+((-4465 . T) (-4466 . T)) 
 NIL 
 (-1017 S R) 
 ((|constructor| (NIL "\\spadtype{QuaternionCategory} describes the category of quaternions and implements functions that are not representation specific.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(q)} returns \\spad{q} as a rational number,{} or \"failed\" if this is not possible. Note: if \\spad{rational?(q)} is \\spad{true},{} the conversion can be done and the rational number will be returned.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(q)} tries to convert \\spad{q} into a rational number. Error: if this is not possible. If \\spad{rational?(q)} is \\spad{true},{} the conversion will be done and the rational number returned.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(q)} returns {\\it \\spad{true}} if all the imaginary parts of \\spad{q} are zero and the real part can be converted into a rational number,{} and {\\it \\spad{false}} otherwise.")) (|abs| ((|#2| $) "\\spad{abs(q)} computes the absolute value of quaternion \\spad{q} (sqrt of norm).")) (|real| ((|#2| $) "\\spad{real(q)} extracts the real part of quaternion \\spad{q}.")) (|quatern| (($ |#2| |#2| |#2| |#2|) "\\spad{quatern(r,i,j,k)} constructs a quaternion from scalars.")) (|norm| ((|#2| $) "\\spad{norm(q)} computes the norm of \\spad{q} (the sum of the squares of the components).")) (|imagK| ((|#2| $) "\\spad{imagK(q)} extracts the imaginary \\spad{k} part of quaternion \\spad{q}.")) (|imagJ| ((|#2| $) "\\spad{imagJ(q)} extracts the imaginary \\spad{j} part of quaternion \\spad{q}.")) (|imagI| ((|#2| $) "\\spad{imagI(q)} extracts the imaginary \\spad{i} part of quaternion \\spad{q}.")) (|conjugate| (($ $) "\\spad{conjugate(q)} negates the imaginary parts of quaternion \\spad{q}."))) 
@@ -4002,7 +4002,7 @@ NIL
 ((|HasCategory| |#2| (QUOTE (-557))) (|HasCategory| |#2| (QUOTE (-1081))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-300)))) 
 (-1018 R) 
 ((|constructor| (NIL "\\spadtype{QuaternionCategory} describes the category of quaternions and implements functions that are not representation specific.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(q)} returns \\spad{q} as a rational number,{} or \"failed\" if this is not possible. Note: if \\spad{rational?(q)} is \\spad{true},{} the conversion can be done and the rational number will be returned.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(q)} tries to convert \\spad{q} into a rational number. Error: if this is not possible. If \\spad{rational?(q)} is \\spad{true},{} the conversion will be done and the rational number returned.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(q)} returns {\\it \\spad{true}} if all the imaginary parts of \\spad{q} are zero and the real part can be converted into a rational number,{} and {\\it \\spad{false}} otherwise.")) (|abs| ((|#1| $) "\\spad{abs(q)} computes the absolute value of quaternion \\spad{q} (sqrt of norm).")) (|real| ((|#1| $) "\\spad{real(q)} extracts the real part of quaternion \\spad{q}.")) (|quatern| (($ |#1| |#1| |#1| |#1|) "\\spad{quatern(r,i,j,k)} constructs a quaternion from scalars.")) (|norm| ((|#1| $) "\\spad{norm(q)} computes the norm of \\spad{q} (the sum of the squares of the components).")) (|imagK| ((|#1| $) "\\spad{imagK(q)} extracts the imaginary \\spad{k} part of quaternion \\spad{q}.")) (|imagJ| ((|#1| $) "\\spad{imagJ(q)} extracts the imaginary \\spad{j} part of quaternion \\spad{q}.")) (|imagI| ((|#1| $) "\\spad{imagI(q)} extracts the imaginary \\spad{i} part of quaternion \\spad{q}.")) (|conjugate| (($ $) "\\spad{conjugate(q)} negates the imaginary parts of quaternion \\spad{q}."))) 
-((-4457 |has| |#1| (-300)) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4458 |has| |#1| (-300)) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-1019 QR R QS S) 
 ((|constructor| (NIL "\\spadtype{QuaternionCategoryFunctions2} implements functions between two quaternion domains. The function \\spadfun{map} is used by the system interpreter to coerce between quaternion types.")) (|map| ((|#3| (|Mapping| |#4| |#2|) |#1|) "\\spad{map(f,u)} maps \\spad{f} onto the component parts of the quaternion \\spad{u}."))) 
@@ -4010,12 +4010,12 @@ NIL
 NIL 
 (-1020 R) 
 ((|constructor| (NIL "\\spadtype{Quaternion} implements quaternions over a \\indented{2}{commutative ring. The main constructor function is \\spadfun{quatern}} \\indented{2}{which takes 4 arguments: the real part,{} the \\spad{i} imaginary part,{} the \\spad{j}} \\indented{2}{imaginary part and the \\spad{k} imaginary part.}"))) 
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+((-4458 |has| |#1| (-300)) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-374))) (-2760 (|HasCategory| |#1| (QUOTE (-300))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-300))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (-2760 (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-1081))) (|HasCategory| |#1| (QUOTE (-557)))) 
 (-1021 S) 
 ((|constructor| (NIL "Linked List implementation of a Queue")) (|queue| (($ (|List| |#1|)) "\\spad{queue([x,y,...,z])} creates a queue with first (top) element \\spad{x},{} second element \\spad{y},{}...,{}and last (bottom) element \\spad{z}."))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
 (-1022 S) 
 ((|constructor| (NIL "The \\spad{RadicalCategory} is a model for the rational numbers.")) (** (($ $ (|Fraction| (|Integer|))) "\\spad{x ** y} is the rational exponentiation of \\spad{x} by the power \\spad{y}.")) (|nthRoot| (($ $ (|Integer|)) "\\spad{nthRoot(x,n)} returns the \\spad{n}th root of \\spad{x}.")) (|sqrt| (($ $) "\\spad{sqrt(x)} returns the square root of \\spad{x}."))) 
 NIL 
@@ -4024,14 +4024,14 @@ NIL
 ((|constructor| (NIL "The \\spad{RadicalCategory} is a model for the rational numbers.")) (** (($ $ (|Fraction| (|Integer|))) "\\spad{x ** y} is the rational exponentiation of \\spad{x} by the power \\spad{y}.")) (|nthRoot| (($ $ (|Integer|)) "\\spad{nthRoot(x,n)} returns the \\spad{n}th root of \\spad{x}.")) (|sqrt| (($ $) "\\spad{sqrt(x)} returns the square root of \\spad{x}."))) 
 NIL 
 NIL 
-(-1024 -1959 UP UPUP |radicnd| |n|) 
+(-1024 -1962 UP UPUP |radicnd| |n|) 
 ((|constructor| (NIL "Function field defined by y**n = \\spad{f}(\\spad{x})."))) 
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-((|HasCategory| (-419 |#2|) (QUOTE (-146))) (|HasCategory| (-419 |#2|) (QUOTE (-148))) (|HasCategory| (-419 |#2|) (QUOTE (-360))) (-2758 (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-379))) (-2758 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2758 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2758 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-360))))) (-2758 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -651) (QUOTE (-576)))) (-2758 (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) 
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+((|HasCategory| (-419 |#2|) (QUOTE (-146))) (|HasCategory| (-419 |#2|) (QUOTE (-148))) (|HasCategory| (-419 |#2|) (QUOTE (-360))) (-2760 (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-379))) (-2760 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2760 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2760 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-360))))) (-2760 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -651) (QUOTE (-576)))) (-2760 (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) 
 (-1025 |bb|) 
 ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating decimal expansions or more generally as repeating expansions in any base.")) (|fractRadix| (($ (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{fractRadix(pre,cyc)} creates a fractional radix expansion from a list of prefix ragits and a list of cyclic ragits. For example,{} \\spad{fractRadix([1],[6])} will return \\spad{0.16666666...}.")) (|wholeRadix| (($ (|List| (|Integer|))) "\\spad{wholeRadix(l)} creates an integral radix expansion from a list of ragits. For example,{} \\spad{wholeRadix([1,3,4])} will return \\spad{134}.")) (|cycleRagits| (((|List| (|Integer|)) $) "\\spad{cycleRagits(rx)} returns the cyclic part of the ragits of the fractional part of a radix expansion. For example,{} if \\spad{x = 3/28 = 0.10 714285 714285 ...},{} then \\spad{cycleRagits(x) = [7,1,4,2,8,5]}.")) (|prefixRagits| (((|List| (|Integer|)) $) "\\spad{prefixRagits(rx)} returns the non-cyclic part of the ragits of the fractional part of a radix expansion. For example,{} if \\spad{x = 3/28 = 0.10 714285 714285 ...},{} then \\spad{prefixRagits(x)=[1,0]}.")) (|fractRagits| (((|Stream| (|Integer|)) $) "\\spad{fractRagits(rx)} returns the ragits of the fractional part of a radix expansion.")) (|wholeRagits| (((|List| (|Integer|)) $) "\\spad{wholeRagits(rx)} returns the ragits of the integer part of a radix expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(rx)} returns the fractional part of a radix expansion."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| (-576) (QUOTE (-928))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1043))) (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861))) (-2758 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861)))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1173))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -319) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -296) (QUOTE (-576)) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-317))) (|HasCategory| (-576) (QUOTE (-557))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (|HasCategory| (-576) (QUOTE (-146))))) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| (-576) (QUOTE (-928))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1043))) (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861))) (-2760 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861)))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1173))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -319) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -296) (QUOTE (-576)) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-317))) (|HasCategory| (-576) (QUOTE (-557))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (|HasCategory| (-576) (QUOTE (-146))))) 
 (-1026) 
 ((|constructor| (NIL "This package provides tools for creating radix expansions.")) (|radix| (((|Any|) (|Fraction| (|Integer|)) (|Integer|)) "\\spad{radix(x,b)} converts \\spad{x} to a radix expansion in base \\spad{b}."))) 
 NIL 
@@ -4051,7 +4051,7 @@ NIL
 (-1030 A S) 
 ((|constructor| (NIL "A recursive aggregate over a type \\spad{S} is a model for a a directed graph containing values of type \\spad{S}. Recursively,{} a recursive aggregate is a {\\em node} consisting of a \\spadfun{value} from \\spad{S} and 0 or more \\spadfun{children} which are recursive aggregates. A node with no children is called a \\spadfun{leaf} node. A recursive aggregate may be cyclic for which some operations as noted may go into an infinite loop.")) (|setvalue!| ((|#2| $ |#2|) "\\spad{setvalue!(u,x)} sets the value of node \\spad{u} to \\spad{x}.")) (|setelt| ((|#2| $ "value" |#2|) "\\spad{setelt(a,\"value\",x)} (also written \\axiom{a . value \\spad{:=} \\spad{x}}) is equivalent to \\axiom{setvalue!(a,{}\\spad{x})}")) (|setchildren!| (($ $ (|List| $)) "\\spad{setchildren!(u,v)} replaces the current children of node \\spad{u} with the members of \\spad{v} in left-to-right order.")) (|node?| (((|Boolean|) $ $) "\\spad{node?(u,v)} tests if node \\spad{u} is contained in node \\spad{v} (either as a child,{} a child of a child,{} etc.).")) (|child?| (((|Boolean|) $ $) "\\spad{child?(u,v)} tests if node \\spad{u} is a child of node \\spad{v}.")) (|distance| (((|Integer|) $ $) "\\spad{distance(u,v)} returns the path length (an integer) from node \\spad{u} to \\spad{v}.")) (|leaves| (((|List| |#2|) $) "\\spad{leaves(t)} returns the list of values in obtained by visiting the nodes of tree \\axiom{\\spad{t}} in left-to-right order.")) (|cyclic?| (((|Boolean|) $) "\\spad{cyclic?(u)} tests if \\spad{u} has a cycle.")) (|elt| ((|#2| $ "value") "\\spad{elt(u,\"value\")} (also written: \\axiom{a. value}) is equivalent to \\axiom{value(a)}.")) (|value| ((|#2| $) "\\spad{value(u)} returns the value of the node \\spad{u}.")) (|leaf?| (((|Boolean|) $) "\\spad{leaf?(u)} tests if \\spad{u} is a terminal node.")) (|nodes| (((|List| $) $) "\\spad{nodes(u)} returns a list of all of the nodes of aggregate \\spad{u}.")) (|children| (((|List| $) $) "\\spad{children(u)} returns a list of the children of aggregate \\spad{u}."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4465)) (|HasCategory| |#2| (QUOTE (-1121)))) 
+((|HasAttribute| |#1| (QUOTE -4466)) (|HasCategory| |#2| (QUOTE (-1121)))) 
 (-1031 S) 
 ((|constructor| (NIL "A recursive aggregate over a type \\spad{S} is a model for a a directed graph containing values of type \\spad{S}. Recursively,{} a recursive aggregate is a {\\em node} consisting of a \\spadfun{value} from \\spad{S} and 0 or more \\spadfun{children} which are recursive aggregates. A node with no children is called a \\spadfun{leaf} node. A recursive aggregate may be cyclic for which some operations as noted may go into an infinite loop.")) (|setvalue!| ((|#1| $ |#1|) "\\spad{setvalue!(u,x)} sets the value of node \\spad{u} to \\spad{x}.")) (|setelt| ((|#1| $ "value" |#1|) "\\spad{setelt(a,\"value\",x)} (also written \\axiom{a . value \\spad{:=} \\spad{x}}) is equivalent to \\axiom{setvalue!(a,{}\\spad{x})}")) (|setchildren!| (($ $ (|List| $)) "\\spad{setchildren!(u,v)} replaces the current children of node \\spad{u} with the members of \\spad{v} in left-to-right order.")) (|node?| (((|Boolean|) $ $) "\\spad{node?(u,v)} tests if node \\spad{u} is contained in node \\spad{v} (either as a child,{} a child of a child,{} etc.).")) (|child?| (((|Boolean|) $ $) "\\spad{child?(u,v)} tests if node \\spad{u} is a child of node \\spad{v}.")) (|distance| (((|Integer|) $ $) "\\spad{distance(u,v)} returns the path length (an integer) from node \\spad{u} to \\spad{v}.")) (|leaves| (((|List| |#1|) $) "\\spad{leaves(t)} returns the list of values in obtained by visiting the nodes of tree \\axiom{\\spad{t}} in left-to-right order.")) (|cyclic?| (((|Boolean|) $) "\\spad{cyclic?(u)} tests if \\spad{u} has a cycle.")) (|elt| ((|#1| $ "value") "\\spad{elt(u,\"value\")} (also written: \\axiom{a. value}) is equivalent to \\axiom{value(a)}.")) (|value| ((|#1| $) "\\spad{value(u)} returns the value of the node \\spad{u}.")) (|leaf?| (((|Boolean|) $) "\\spad{leaf?(u)} tests if \\spad{u} is a terminal node.")) (|nodes| (((|List| $) $) "\\spad{nodes(u)} returns a list of all of the nodes of aggregate \\spad{u}.")) (|children| (((|List| $) $) "\\spad{children(u)} returns a list of the children of aggregate \\spad{u}."))) 
 NIL 
@@ -4062,21 +4062,21 @@ NIL
 NIL 
 (-1033) 
 ((|constructor| (NIL "\\axiomType{RealClosedField} provides common acces functions for all real closed fields.")) (|approximate| (((|Fraction| (|Integer|)) $ $) "\\axiom{approximate(\\spad{n},{}\\spad{p})} gives an approximation of \\axiom{\\spad{n}} that has precision \\axiom{\\spad{p}}")) (|rename| (($ $ (|OutputForm|)) "\\axiom{rename(\\spad{x},{}name)} gives a new number that prints as name")) (|rename!| (($ $ (|OutputForm|)) "\\axiom{rename!(\\spad{x},{}name)} changes the way \\axiom{\\spad{x}} is printed")) (|sqrt| (($ (|Integer|)) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ (|Fraction| (|Integer|))) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ $) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ $ (|PositiveInteger|)) "\\axiom{sqrt(\\spad{x},{}\\spad{n})} is \\axiom{\\spad{x} \\spad{**} (1/n)}")) (|allRootsOf| (((|List| $) (|Polynomial| (|Integer|))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|Polynomial| $)) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| (|Integer|))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| $)) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely")) (|rootOf| (((|Union| $ "failed") (|SparseUnivariatePolynomial| $) (|PositiveInteger|)) "\\axiom{rootOf(pol,{}\\spad{n})} creates the \\spad{n}th root for the order of \\axiom{pol} and gives it unique name") (((|Union| $ "failed") (|SparseUnivariatePolynomial| $) (|PositiveInteger|) (|OutputForm|)) "\\axiom{rootOf(pol,{}\\spad{n},{}name)} creates the \\spad{n}th root for the order of \\axiom{pol} and names it \\axiom{name}")) (|mainValue| (((|Union| (|SparseUnivariatePolynomial| $) "failed") $) "\\axiom{mainValue(\\spad{x})} is the expression of \\axiom{\\spad{x}} in terms of \\axiom{SparseUnivariatePolynomial(\\$)}")) (|mainDefiningPolynomial| (((|Union| (|SparseUnivariatePolynomial| $) "failed") $) "\\axiom{mainDefiningPolynomial(\\spad{x})} is the defining polynomial for the main algebraic quantity of \\axiom{\\spad{x}}")) (|mainForm| (((|Union| (|OutputForm|) "failed") $) "\\axiom{mainForm(\\spad{x})} is the main algebraic quantity name of \\axiom{\\spad{x}}"))) 
-((-4457 . T) (-4462 . T) (-4456 . T) (-4459 . T) (-4458 . T) ((-4466 "*") . T) (-4461 . T)) 
+((-4458 . T) (-4463 . T) (-4457 . T) (-4460 . T) (-4459 . T) ((-4467 "*") . T) (-4462 . T)) 
 NIL 
-(-1034 R -1959) 
+(-1034 R -1962) 
 ((|constructor| (NIL "\\indented{1}{Risch differential equation,{} elementary case.} Author: Manuel Bronstein Date Created: 1 February 1988 Date Last Updated: 2 November 1995 Keywords: elementary,{} function,{} integration.")) (|rischDE| (((|Record| (|:| |ans| |#2|) (|:| |right| |#2|) (|:| |sol?| (|Boolean|))) (|Integer|) |#2| |#2| (|Symbol|) (|Mapping| (|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|List| |#2|)) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| |#2|)) "\\spad{rischDE(n, f, g, x, lim, ext)} returns \\spad{[y, h, b]} such that \\spad{dy/dx + n df/dx y = h} and \\spad{b := h = g}. The equation \\spad{dy/dx + n df/dx y = g} has no solution if \\spad{h \\~~= g} (\\spad{y} is a partial solution in that case). Notes: \\spad{lim} is a limited integration function,{} and ext is an extended integration function."))) 
 NIL 
 NIL 
-(-1035 R -1959) 
+(-1035 R -1962) 
 ((|constructor| (NIL "\\indented{1}{Risch differential equation,{} elementary case.} Author: Manuel Bronstein Date Created: 12 August 1992 Date Last Updated: 17 August 1992 Keywords: elementary,{} function,{} integration.")) (|rischDEsys| (((|Union| (|List| |#2|) "failed") (|Integer|) |#2| |#2| |#2| (|Symbol|) (|Mapping| (|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|List| |#2|)) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| |#2|)) "\\spad{rischDEsys(n, f, g_1, g_2, x,lim,ext)} returns \\spad{y_1.y_2} such that \\spad{(dy1/dx,dy2/dx) + ((0, - n df/dx),(n df/dx,0)) (y1,y2) = (g1,g2)} if \\spad{y_1,y_2} exist,{} \"failed\" otherwise. \\spad{lim} is a limited integration function,{} \\spad{ext} is an extended integration function."))) 
 NIL 
 NIL 
-(-1036 -1959 UP) 
+(-1036 -1962 UP) 
 ((|constructor| (NIL "\\indented{1}{Risch differential equation,{} transcendental case.} Author: Manuel Bronstein Date Created: Jan 1988 Date Last Updated: 2 November 1995")) (|polyRDE| (((|Union| (|:| |ans| (|Record| (|:| |ans| |#2|) (|:| |nosol| (|Boolean|)))) (|:| |eq| (|Record| (|:| |b| |#2|) (|:| |c| |#2|) (|:| |m| (|Integer|)) (|:| |alpha| |#2|) (|:| |beta| |#2|)))) |#2| |#2| |#2| (|Integer|) (|Mapping| |#2| |#2|)) "\\spad{polyRDE(a, B, C, n, D)} returns either: 1. \\spad{[Q, b]} such that \\spad{degree(Q) <= n} and \\indented{3}{\\spad{a Q'+ B Q = C} if \\spad{b = true},{} \\spad{Q} is a partial solution} \\indented{3}{otherwise.} 2. \\spad{[B1, C1, m, \\alpha, \\beta]} such that any polynomial solution \\indented{3}{of degree at most \\spad{n} of \\spad{A Q' + BQ = C} must be of the form} \\indented{3}{\\spad{Q = \\alpha H + \\beta} where \\spad{degree(H) <= m} and} \\indented{3}{\\spad{H} satisfies \\spad{H' + B1 H = C1}.} \\spad{D} is the derivation to use.")) (|baseRDE| (((|Record| (|:| |ans| (|Fraction| |#2|)) (|:| |nosol| (|Boolean|))) (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{baseRDE(f, g)} returns a \\spad{[y, b]} such that \\spad{y' + fy = g} if \\spad{b = true},{} \\spad{y} is a partial solution otherwise (no solution in that case). \\spad{D} is the derivation to use.")) (|monomRDE| (((|Union| (|Record| (|:| |a| |#2|) (|:| |b| (|Fraction| |#2|)) (|:| |c| (|Fraction| |#2|)) (|:| |t| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{monomRDE(f,g,D)} returns \\spad{[A, B, C, T]} such that \\spad{y' + f y = g} has a solution if and only if \\spad{y = Q / T},{} where \\spad{Q} satisfies \\spad{A Q' + B Q = C} and has no normal pole. A and \\spad{T} are polynomials and \\spad{B} and \\spad{C} have no normal poles. \\spad{D} is the derivation to use."))) 
 NIL 
 NIL 
-(-1037 -1959 UP) 
+(-1037 -1962 UP) 
 ((|constructor| (NIL "\\indented{1}{Risch differential equation system,{} transcendental case.} Author: Manuel Bronstein Date Created: 17 August 1992 Date Last Updated: 3 February 1994")) (|baseRDEsys| (((|Union| (|List| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{baseRDEsys(f, g1, g2)} returns fractions \\spad{y_1.y_2} such that \\spad{(y1', y2') + ((0, -f), (f, 0)) (y1,y2) = (g1,g2)} if \\spad{y_1,y_2} exist,{} \"failed\" otherwise.")) (|monomRDEsys| (((|Union| (|Record| (|:| |a| |#2|) (|:| |b| (|Fraction| |#2|)) (|:| |h| |#2|) (|:| |c1| (|Fraction| |#2|)) (|:| |c2| (|Fraction| |#2|)) (|:| |t| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{monomRDEsys(f,g1,g2,D)} returns \\spad{[A, B, H, C1, C2, T]} such that \\spad{(y1', y2') + ((0, -f), (f, 0)) (y1,y2) = (g1,g2)} has a solution if and only if \\spad{y1 = Q1 / T, y2 = Q2 / T},{} where \\spad{B,C1,C2,Q1,Q2} have no normal poles and satisfy A \\spad{(Q1', Q2') + ((H, -B), (B, H)) (Q1,Q2) = (C1,C2)} \\spad{D} is the derivation to use."))) 
 NIL 
 NIL 
@@ -4110,9 +4110,9 @@ NIL
 NIL 
 (-1045 |TheField|) 
 ((|constructor| (NIL "This domain implements the real closure of an ordered field.")) (|relativeApprox| (((|Fraction| (|Integer|)) $ $) "\\axiom{relativeApprox(\\spad{n},{}\\spad{p})} gives a relative approximation of \\axiom{\\spad{n}} that has precision \\axiom{\\spad{p}}")) (|mainCharacterization| (((|Union| (|RightOpenIntervalRootCharacterization| $ (|SparseUnivariatePolynomial| $)) "failed") $) "\\axiom{mainCharacterization(\\spad{x})} is the main algebraic quantity of \\axiom{\\spad{x}} (\\axiom{SEG})")) (|algebraicOf| (($ (|RightOpenIntervalRootCharacterization| $ (|SparseUnivariatePolynomial| $)) (|OutputForm|)) "\\axiom{algebraicOf(char)} is the external number"))) 
-((-4457 . T) (-4462 . T) (-4456 . T) (-4459 . T) (-4458 . T) ((-4466 "*") . T) (-4461 . T)) 
-((-2758 (|HasCategory| (-419 (-576)) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-419 (-576)) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 (-576)) (LIST (QUOTE -1059) (QUOTE (-576))))) 
-(-1046 -1959 L) 
+((-4458 . T) (-4463 . T) (-4457 . T) (-4460 . T) (-4459 . T) ((-4467 "*") . T) (-4462 . T)) 
+((-2760 (|HasCategory| (-419 (-576)) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-419 (-576)) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 (-576)) (LIST (QUOTE -1059) (QUOTE (-576))))) 
+(-1046 -1962 L) 
 ((|constructor| (NIL "\\spadtype{ReductionOfOrder} provides functions for reducing the order of linear ordinary differential equations once some solutions are known.")) (|ReduceOrder| (((|Record| (|:| |eq| |#2|) (|:| |op| (|List| |#1|))) |#2| (|List| |#1|)) "\\spad{ReduceOrder(op, [f1,...,fk])} returns \\spad{[op1,[g1,...,gk]]} such that for any solution \\spad{z} of \\spad{op1 z = 0},{} \\spad{y = gk \\int(g_{k-1} \\int(... \\int(g1 \\int z)...)} is a solution of \\spad{op y = 0}. Each \\spad{fi} must satisfy \\spad{op fi = 0}.") ((|#2| |#2| |#1|) "\\spad{ReduceOrder(op, s)} returns \\spad{op1} such that for any solution \\spad{z} of \\spad{op1 z = 0},{} \\spad{y = s \\int z} is a solution of \\spad{op y = 0}. \\spad{s} must satisfy \\spad{op s = 0}."))) 
 NIL 
 NIL 
@@ -4122,12 +4122,12 @@ NIL
 ((|HasCategory| |#1| (QUOTE (-1121)))) 
 (-1048 R E V P) 
 ((|constructor| (NIL "This domain provides an implementation of regular chains. Moreover,{} the operation \\axiomOpFrom{zeroSetSplit}{RegularTriangularSetCategory} is an implementation of a new algorithm for solving polynomial systems by means of regular chains.\\newline References : \\indented{1}{[1] \\spad{M}. MORENO MAZA \"A new algorithm for computing triangular} \\indented{5}{decomposition of algebraic varieties\" NAG Tech. Rep. 4/98.}")) (|preprocess| (((|Record| (|:| |val| (|List| |#4|)) (|:| |towers| (|List| $))) (|List| |#4|) (|Boolean|) (|Boolean|)) "\\axiom{pre_process(\\spad{lp},{}\\spad{b1},{}\\spad{b2})} is an internal subroutine,{} exported only for developement.")) (|internalZeroSetSplit| (((|List| $) (|List| |#4|) (|Boolean|) (|Boolean|) (|Boolean|)) "\\axiom{internalZeroSetSplit(\\spad{lp},{}\\spad{b1},{}\\spad{b2},{}\\spad{b3})} is an internal subroutine,{} exported only for developement.")) (|zeroSetSplit| (((|List| $) (|List| |#4|) (|Boolean|) (|Boolean|) (|Boolean|) (|Boolean|)) "\\axiom{zeroSetSplit(\\spad{lp},{}\\spad{b1},{}\\spad{b2}.\\spad{b3},{}\\spad{b4})} is an internal subroutine,{} exported only for developement.") (((|List| $) (|List| |#4|) (|Boolean|) (|Boolean|)) "\\axiom{zeroSetSplit(\\spad{lp},{}clos?,{}info?)} has the same specifications as \\axiomOpFrom{zeroSetSplit}{RegularTriangularSetCategory}. Moreover,{} if \\axiom{clos?} then solves in the sense of the Zariski closure else solves in the sense of the regular zeros. If \\axiom{info?} then do print messages during the computations.")) (|internalAugment| (((|List| $) |#4| $ (|Boolean|) (|Boolean|) (|Boolean|) (|Boolean|) (|Boolean|)) "\\axiom{internalAugment(\\spad{p},{}\\spad{ts},{}\\spad{b1},{}\\spad{b2},{}\\spad{b3},{}\\spad{b4},{}\\spad{b5})} is an internal subroutine,{} exported only for developement."))) 
-((-4465 . T) (-4464 . T)) 
+((-4466 . T) (-4465 . T)) 
 ((-12 (|HasCategory| |#4| (QUOTE (-1121))) (|HasCategory| |#4| (LIST (QUOTE -319) (|devaluate| |#4|)))) (|HasCategory| |#4| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#4| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#3| (QUOTE (-379))) (|HasCategory| |#4| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#4| (QUOTE (-102)))) 
 (-1049 R) 
 ((|constructor| (NIL "RepresentationPackage1 provides functions for representation theory for finite groups and algebras. The package creates permutation representations and uses tensor products and its symmetric and antisymmetric components to create new representations of larger degree from given ones. Note: instead of having parameters from \\spadtype{Permutation} this package allows list notation of permutations as well: \\spadignore{e.g.} \\spad{[1,4,3,2]} denotes permutes 2 and 4 and fixes 1 and 3.")) (|permutationRepresentation| (((|List| (|Matrix| (|Integer|))) (|List| (|List| (|Integer|)))) "\\spad{permutationRepresentation([pi1,...,pik],n)} returns the list of matrices {\\em [(deltai,pi1(i)),...,(deltai,pik(i))]} if the permutations {\\em pi1},{}...,{}{\\em pik} are in list notation and are permuting {\\em {1,2,...,n}}.") (((|List| (|Matrix| (|Integer|))) (|List| (|Permutation| (|Integer|))) (|Integer|)) "\\spad{permutationRepresentation([pi1,...,pik],n)} returns the list of matrices {\\em [(deltai,pi1(i)),...,(deltai,pik(i))]} (Kronecker delta) for the permutations {\\em pi1,...,pik} of {\\em {1,2,...,n}}.") (((|Matrix| (|Integer|)) (|List| (|Integer|))) "\\spad{permutationRepresentation(pi,n)} returns the matrix {\\em (deltai,pi(i))} (Kronecker delta) if the permutation {\\em pi} is in list notation and permutes {\\em {1,2,...,n}}.") (((|Matrix| (|Integer|)) (|Permutation| (|Integer|)) (|Integer|)) "\\spad{permutationRepresentation(pi,n)} returns the matrix {\\em (deltai,pi(i))} (Kronecker delta) for a permutation {\\em pi} of {\\em {1,2,...,n}}.")) (|tensorProduct| (((|List| (|Matrix| |#1|)) (|List| (|Matrix| |#1|))) "\\spad{tensorProduct([a1,...ak])} calculates the list of Kronecker products of each matrix {\\em ai} with itself for {1 \\spad{<=} \\spad{i} \\spad{<=} \\spad{k}}. Note: If the list of matrices corresponds to a group representation (repr. of generators) of one group,{} then these matrices correspond to the tensor product of the representation with itself.") (((|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{tensorProduct(a)} calculates the Kronecker product of the matrix {\\em a} with itself.") (((|List| (|Matrix| |#1|)) (|List| (|Matrix| |#1|)) (|List| (|Matrix| |#1|))) "\\spad{tensorProduct([a1,...,ak],[b1,...,bk])} calculates the list of Kronecker products of the matrices {\\em ai} and {\\em bi} for {1 \\spad{<=} \\spad{i} \\spad{<=} \\spad{k}}. Note: If each list of matrices corresponds to a group representation (repr. of generators) of one group,{} then these matrices correspond to the tensor product of the two representations.") (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{tensorProduct(a,b)} calculates the Kronecker product of the matrices {\\em a} and \\spad{b}. Note: if each matrix corresponds to a group representation (repr. of generators) of one group,{} then these matrices correspond to the tensor product of the two representations.")) (|symmetricTensors| (((|List| (|Matrix| |#1|)) (|List| (|Matrix| |#1|)) (|PositiveInteger|)) "\\spad{symmetricTensors(la,n)} applies to each \\spad{m}-by-\\spad{m} square matrix in the list {\\em la} the irreducible,{} polynomial representation of the general linear group {\\em GLm} which corresponds to the partition {\\em (n,0,...,0)} of \\spad{n}. Error: if the matrices in {\\em la} are not square matrices. Note: this corresponds to the symmetrization of the representation with the trivial representation of the symmetric group {\\em Sn}. The carrier spaces of the representation are the symmetric tensors of the \\spad{n}-fold tensor product.") (((|Matrix| |#1|) (|Matrix| |#1|) (|PositiveInteger|)) "\\spad{symmetricTensors(a,n)} applies to the \\spad{m}-by-\\spad{m} square matrix {\\em a} the irreducible,{} polynomial representation of the general linear group {\\em GLm} which corresponds to the partition {\\em (n,0,...,0)} of \\spad{n}. Error: if {\\em a} is not a square matrix. Note: this corresponds to the symmetrization of the representation with the trivial representation of the symmetric group {\\em Sn}. The carrier spaces of the representation are the symmetric tensors of the \\spad{n}-fold tensor product.")) (|createGenericMatrix| (((|Matrix| (|Polynomial| |#1|)) (|NonNegativeInteger|)) "\\spad{createGenericMatrix(m)} creates a square matrix of dimension \\spad{k} whose entry at the \\spad{i}-th row and \\spad{j}-th column is the indeterminate {\\em x[i,j]} (double subscripted).")) (|antisymmetricTensors| (((|List| (|Matrix| |#1|)) (|List| (|Matrix| |#1|)) (|PositiveInteger|)) "\\spad{antisymmetricTensors(la,n)} applies to each \\spad{m}-by-\\spad{m} square matrix in the list {\\em la} the irreducible,{} polynomial representation of the general linear group {\\em GLm} which corresponds to the partition {\\em (1,1,...,1,0,0,...,0)} of \\spad{n}. Error: if \\spad{n} is greater than \\spad{m}. Note: this corresponds to the symmetrization of the representation with the sign representation of the symmetric group {\\em Sn}. The carrier spaces of the representation are the antisymmetric tensors of the \\spad{n}-fold tensor product.") (((|Matrix| |#1|) (|Matrix| |#1|) (|PositiveInteger|)) "\\spad{antisymmetricTensors(a,n)} applies to the square matrix {\\em a} the irreducible,{} polynomial representation of the general linear group {\\em GLm},{} where \\spad{m} is the number of rows of {\\em a},{} which corresponds to the partition {\\em (1,1,...,1,0,0,...,0)} of \\spad{n}. Error: if \\spad{n} is greater than \\spad{m}. Note: this corresponds to the symmetrization of the representation with the sign representation of the symmetric group {\\em Sn}. The carrier spaces of the representation are the antisymmetric tensors of the \\spad{n}-fold tensor product."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE (-4466 "*")))) 
+((|HasAttribute| |#1| (QUOTE (-4467 "*")))) 
 (-1050 R) 
 ((|constructor| (NIL "RepresentationPackage2 provides functions for working with modular representations of finite groups and algebra. The routines in this package are created,{} using ideas of \\spad{R}. Parker,{} (the meat-Axe) to get smaller representations from bigger ones,{} \\spadignore{i.e.} finding sub- and factormodules,{} or to show,{} that such the representations are irreducible. Note: most functions are randomized functions of Las Vegas type \\spadignore{i.e.} every answer is correct,{} but with small probability the algorithm fails to get an answer.")) (|scanOneDimSubspaces| (((|Vector| |#1|) (|List| (|Vector| |#1|)) (|Integer|)) "\\spad{scanOneDimSubspaces(basis,n)} gives a canonical representative of the {\\em n}\\spad{-}th one-dimensional subspace of the vector space generated by the elements of {\\em basis},{} all from {\\em R**n}. The coefficients of the representative are of shape {\\em (0,...,0,1,*,...,*)},{} {\\em *} in \\spad{R}. If the size of \\spad{R} is \\spad{q},{} then there are {\\em (q**n-1)/(q-1)} of them. We first reduce \\spad{n} modulo this number,{} then find the largest \\spad{i} such that {\\em +/[q**i for i in 0..i-1] <= n}. Subtracting this sum of powers from \\spad{n} results in an \\spad{i}-digit number to \\spad{basis} \\spad{q}. This fills the positions of the stars.")) (|meatAxe| (((|List| (|List| (|Matrix| |#1|))) (|List| (|Matrix| |#1|)) (|PositiveInteger|)) "\\spad{meatAxe(aG, numberOfTries)} calls {\\em meatAxe(aG,true,numberOfTries,7)}. Notes: 7 covers the case of three-dimensional kernels over the field with 2 elements.") (((|List| (|List| (|Matrix| |#1|))) (|List| (|Matrix| |#1|)) (|Boolean|)) "\\spad{meatAxe(aG, randomElements)} calls {\\em meatAxe(aG,false,6,7)},{} only using Parker\\spad{'s} fingerprints,{} if {\\em randomElemnts} is \\spad{false}. If it is \\spad{true},{} it calls {\\em meatAxe(aG,true,25,7)},{} only using random elements. Note: the choice of 25 was rather arbitrary. Also,{} 7 covers the case of three-dimensional kernels over the field with 2 elements.") (((|List| (|List| (|Matrix| |#1|))) (|List| (|Matrix| |#1|))) "\\spad{meatAxe(aG)} calls {\\em meatAxe(aG,false,25,7)} returns a 2-list of representations as follows. All matrices of argument \\spad{aG} are assumed to be square and of equal size. Then \\spad{aG} generates a subalgebra,{} say \\spad{A},{} of the algebra of all square matrices of dimension \\spad{n}. {\\em V R} is an A-module in the usual way. meatAxe(\\spad{aG}) creates at most 25 random elements of the algebra,{} tests them for singularity. If singular,{} it tries at most 7 elements of its kernel to generate a proper submodule. If successful a list which contains first the list of the representations of the submodule,{} then a list of the representations of the factor module is returned. Otherwise,{} if we know that all the kernel is already scanned,{} Norton\\spad{'s} irreducibility test can be used either to prove irreducibility or to find the splitting. Notes: the first 6 tries use Parker\\spad{'s} fingerprints. Also,{} 7 covers the case of three-dimensional kernels over the field with 2 elements.") (((|List| (|List| (|Matrix| |#1|))) (|List| (|Matrix| |#1|)) (|Boolean|) (|Integer|) (|Integer|)) "\\spad{meatAxe(aG,randomElements,numberOfTries, maxTests)} returns a 2-list of representations as follows. All matrices of argument \\spad{aG} are assumed to be square and of equal size. Then \\spad{aG} generates a subalgebra,{} say \\spad{A},{} of the algebra of all square matrices of dimension \\spad{n}. {\\em V R} is an A-module in the usual way. meatAxe(\\spad{aG},{}\\spad{numberOfTries},{} maxTests) creates at most {\\em numberOfTries} random elements of the algebra,{} tests them for singularity. If singular,{} it tries at most {\\em maxTests} elements of its kernel to generate a proper submodule. If successful,{} a 2-list is returned: first,{} a list containing first the list of the representations of the submodule,{} then a list of the representations of the factor module. Otherwise,{} if we know that all the kernel is already scanned,{} Norton\\spad{'s} irreducibility test can be used either to prove irreducibility or to find the splitting. If {\\em randomElements} is {\\em false},{} the first 6 tries use Parker\\spad{'s} fingerprints.")) (|split| (((|List| (|List| (|Matrix| |#1|))) (|List| (|Matrix| |#1|)) (|Vector| (|Vector| |#1|))) "\\spad{split(aG,submodule)} uses a proper \\spad{submodule} of {\\em R**n} to create the representations of the \\spad{submodule} and of the factor module.") (((|List| (|List| (|Matrix| |#1|))) (|List| (|Matrix| |#1|)) (|Vector| |#1|)) "\\spad{split(aG, vector)} returns a subalgebra \\spad{A} of all square matrix of dimension \\spad{n} as a list of list of matrices,{} generated by the list of matrices \\spad{aG},{} where \\spad{n} denotes both the size of vector as well as the dimension of each of the square matrices. {\\em V R} is an A-module in the natural way. split(\\spad{aG},{} vector) then checks whether the cyclic submodule generated by {\\em vector} is a proper submodule of {\\em V R}. If successful,{} it returns a two-element list,{} which contains first the list of the representations of the submodule,{} then the list of the representations of the factor module. If the vector generates the whole module,{} a one-element list of the old representation is given. Note: a later version this should call the other split.")) (|isAbsolutelyIrreducible?| (((|Boolean|) (|List| (|Matrix| |#1|))) "\\spad{isAbsolutelyIrreducible?(aG)} calls {\\em isAbsolutelyIrreducible?(aG,25)}. Note: the choice of 25 was rather arbitrary.") (((|Boolean|) (|List| (|Matrix| |#1|)) (|Integer|)) "\\spad{isAbsolutelyIrreducible?(aG, numberOfTries)} uses Norton\\spad{'s} irreducibility test to check for absolute irreduciblity,{} assuming if a one-dimensional kernel is found. As no field extension changes create \"new\" elements in a one-dimensional space,{} the criterium stays \\spad{true} for every extension. The method looks for one-dimensionals only by creating random elements (no fingerprints) since a run of {\\em meatAxe} would have proved absolute irreducibility anyway.")) (|areEquivalent?| (((|Matrix| |#1|) (|List| (|Matrix| |#1|)) (|List| (|Matrix| |#1|)) (|Integer|)) "\\spad{areEquivalent?(aG0,aG1,numberOfTries)} calls {\\em areEquivalent?(aG0,aG1,true,25)}. Note: the choice of 25 was rather arbitrary.") (((|Matrix| |#1|) (|List| (|Matrix| |#1|)) (|List| (|Matrix| |#1|))) "\\spad{areEquivalent?(aG0,aG1)} calls {\\em areEquivalent?(aG0,aG1,true,25)}. Note: the choice of 25 was rather arbitrary.") (((|Matrix| |#1|) (|List| (|Matrix| |#1|)) (|List| (|Matrix| |#1|)) (|Boolean|) (|Integer|)) "\\spad{areEquivalent?(aG0,aG1,randomelements,numberOfTries)} tests whether the two lists of matrices,{} all assumed of same square shape,{} can be simultaneously conjugated by a non-singular matrix. If these matrices represent the same group generators,{} the representations are equivalent. The algorithm tries {\\em numberOfTries} times to create elements in the generated algebras in the same fashion. If their ranks differ,{} they are not equivalent. If an isomorphism is assumed,{} then the kernel of an element of the first algebra is mapped to the kernel of the corresponding element in the second algebra. Now consider the one-dimensional ones. If they generate the whole space (\\spadignore{e.g.} irreducibility !) we use {\\em standardBasisOfCyclicSubmodule} to create the only possible transition matrix. The method checks whether the matrix conjugates all corresponding matrices from {\\em aGi}. The way to choose the singular matrices is as in {\\em meatAxe}. If the two representations are equivalent,{} this routine returns the transformation matrix {\\em TM} with {\\em aG0.i * TM = TM * aG1.i} for all \\spad{i}. If the representations are not equivalent,{} a small 0-matrix is returned. Note: the case with different sets of group generators cannot be handled.")) (|standardBasisOfCyclicSubmodule| (((|Matrix| |#1|) (|List| (|Matrix| |#1|)) (|Vector| |#1|)) "\\spad{standardBasisOfCyclicSubmodule(lm,v)} returns a matrix as follows. It is assumed that the size \\spad{n} of the vector equals the number of rows and columns of the matrices. Then the matrices generate a subalgebra,{} say \\spad{A},{} of the algebra of all square matrices of dimension \\spad{n}. {\\em V R} is an \\spad{A}-module in the natural way. standardBasisOfCyclicSubmodule(\\spad{lm},{}\\spad{v}) calculates a matrix whose non-zero column vectors are the \\spad{R}-Basis of {\\em Av} achieved in the way as described in section 6 of \\spad{R}. A. Parker\\spad{'s} \"The Meat-Axe\". Note: in contrast to {\\em cyclicSubmodule},{} the result is not in echelon form.")) (|cyclicSubmodule| (((|Vector| (|Vector| |#1|)) (|List| (|Matrix| |#1|)) (|Vector| |#1|)) "\\spad{cyclicSubmodule(lm,v)} generates a basis as follows. It is assumed that the size \\spad{n} of the vector equals the number of rows and columns of the matrices. Then the matrices generate a subalgebra,{} say \\spad{A},{} of the algebra of all square matrices of dimension \\spad{n}. {\\em V R} is an \\spad{A}-module in the natural way. cyclicSubmodule(\\spad{lm},{}\\spad{v}) generates the \\spad{R}-Basis of {\\em Av} as described in section 6 of \\spad{R}. A. Parker\\spad{'s} \"The Meat-Axe\". Note: in contrast to the description in \"The Meat-Axe\" and to {\\em standardBasisOfCyclicSubmodule} the result is in echelon form.")) (|createRandomElement| (((|Matrix| |#1|) (|List| (|Matrix| |#1|)) (|Matrix| |#1|)) "\\spad{createRandomElement(aG,x)} creates a random element of the group algebra generated by {\\em aG}.")) (|completeEchelonBasis| (((|Matrix| |#1|) (|Vector| (|Vector| |#1|))) "\\spad{completeEchelonBasis(lv)} completes the basis {\\em lv} assumed to be in echelon form of a subspace of {\\em R**n} (\\spad{n} the length of all the vectors in {\\em lv}) with unit vectors to a basis of {\\em R**n}. It is assumed that the argument is not an empty vector and that it is not the basis of the 0-subspace. Note: the rows of the result correspond to the vectors of the basis."))) 
 NIL 
@@ -4148,14 +4148,14 @@ NIL
 ((|constructor| (NIL "This package provides coercions for the special types \\spadtype{Exit} and \\spadtype{Void}.")) (|coerce| ((|#1| (|Exit|)) "\\spad{coerce(e)} is never really evaluated. This coercion is used for formal type correctness when a function will not return directly to its caller.") (((|Void|) |#1|) "\\spad{coerce(s)} throws all information about \\spad{s} away. This coercion allows values of any type to appear in contexts where they will not be used. For example,{} it allows the resolution of different types in the \\spad{then} and \\spad{else} branches when an \\spad{if} is in a context where the resulting value is not used."))) 
 NIL 
 NIL 
-(-1055 -1959 |Expon| |VarSet| |FPol| |LFPol|) 
+(-1055 -1962 |Expon| |VarSet| |FPol| |LFPol|) 
 ((|constructor| (NIL "ResidueRing is the quotient of a polynomial ring by an ideal. The ideal is given as a list of generators. The elements of the domain are equivalence classes expressed in terms of reduced elements")) (|lift| ((|#4| $) "\\spad{lift(x)} return the canonical representative of the equivalence class \\spad{x}")) (|coerce| (($ |#4|) "\\spad{coerce(f)} produces the equivalence class of \\spad{f} in the residue ring")) (|reduce| (($ |#4|) "\\spad{reduce(f)} produces the equivalence class of \\spad{f} in the residue ring"))) 
-(((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+(((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-1056) 
 ((|constructor| (NIL "A domain used to return the results from a call to the NAG Library. It prints as a list of names and types,{} though the user may choose to display values automatically if he or she wishes.")) (|showArrayValues| (((|Boolean|) (|Boolean|)) "\\spad{showArrayValues(true)} forces the values of array components to be \\indented{1}{displayed rather than just their types.}")) (|showScalarValues| (((|Boolean|) (|Boolean|)) "\\spad{showScalarValues(true)} forces the values of scalar components to be \\indented{1}{displayed rather than just their types.}"))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4300) (QUOTE (-1197))) (LIST (QUOTE |:|) (QUOTE -4438) (QUOTE (-52))))))) (-2758 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-1121)))) (-2758 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1121)))) (-2758 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (QUOTE (-1121))) (|HasCategory| (-1197) (QUOTE (-861))) (|HasCategory| (-52) (QUOTE (-1121))) (-2758 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (-2758 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (QUOTE (-102)))) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4301) (QUOTE (-1197))) (LIST (QUOTE |:|) (QUOTE -4440) (QUOTE (-52))))))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (QUOTE (-1121))) (|HasCategory| (-1197) (QUOTE (-861))) (|HasCategory| (-52) (QUOTE (-1121))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (QUOTE (-102)))) 
 (-1057) 
 ((|constructor| (NIL "This domain represents `return' expressions.")) (|expression| (((|SpadAst|) $) "\\spad{expression(e)} returns the expression returned by `e'."))) 
 NIL 
@@ -4198,7 +4198,7 @@ NIL
 NIL 
 (-1067 R |ls|) 
 ((|constructor| (NIL "A domain for regular chains (\\spadignore{i.e.} regular triangular sets) over a \\spad{Gcd}-Domain and with a fix list of variables. This is just a front-end for the \\spadtype{RegularTriangularSet} domain constructor.")) (|zeroSetSplit| (((|List| $) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) (|Boolean|) (|Boolean|)) "\\spad{zeroSetSplit(lp,clos?,info?)} returns a list \\spad{lts} of regular chains such that the union of the closures of their regular zero sets equals the affine variety associated with \\spad{lp}. Moreover,{} if \\spad{clos?} is \\spad{false} then the union of the regular zero set of the \\spad{ts} (for \\spad{ts} in \\spad{lts}) equals this variety. If \\spad{info?} is \\spad{true} then some information is displayed during the computations. See \\axiomOpFrom{zeroSetSplit}{RegularTriangularSet}."))) 
-((-4465 . T) (-4464 . T)) 
+((-4466 . T) (-4465 . T)) 
 ((-12 (|HasCategory| (-792 |#1| (-878 |#2|)) (QUOTE (-1121))) (|HasCategory| (-792 |#1| (-878 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -792) (|devaluate| |#1|) (LIST (QUOTE -878) (|devaluate| |#2|)))))) (|HasCategory| (-792 |#1| (-878 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-792 |#1| (-878 |#2|)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| (-878 |#2|) (QUOTE (-379))) (|HasCategory| (-792 |#1| (-878 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-792 |#1| (-878 |#2|)) (QUOTE (-102)))) 
 (-1068) 
 ((|constructor| (NIL "This package exports integer distributions")) (|ridHack1| (((|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{ridHack1(i,j,k,l)} \\undocumented")) (|geometric| (((|Mapping| (|Integer|)) |RationalNumber|) "\\spad{geometric(f)} \\undocumented")) (|poisson| (((|Mapping| (|Integer|)) |RationalNumber|) "\\spad{poisson(f)} \\undocumented")) (|binomial| (((|Mapping| (|Integer|)) (|Integer|) |RationalNumber|) "\\spad{binomial(n,f)} \\undocumented")) (|uniform| (((|Mapping| (|Integer|)) (|Segment| (|Integer|))) "\\spad{uniform(s)} \\undocumented"))) 
@@ -4210,9 +4210,9 @@ NIL
 NIL 
 (-1070) 
 ((|constructor| (NIL "The category of rings with unity,{} always associative,{} but not necessarily commutative.")) (|unitsKnown| ((|attribute|) "recip truly yields reciprocal or \"failed\" if not a unit. Note: \\spad{recip(0) = \"failed\"}.")) (|characteristic| (((|NonNegativeInteger|)) "\\spad{characteristic()} returns the characteristic of the ring this is the smallest positive integer \\spad{n} such that \\spad{n*x=0} for all \\spad{x} in the ring,{} or zero if no such \\spad{n} exists."))) 
-((-4461 . T)) 
+((-4462 . T)) 
 NIL 
-(-1071 |xx| -1959) 
+(-1071 |xx| -1962) 
 ((|constructor| (NIL "This package exports rational interpolation algorithms"))) 
 NIL 
 NIL 
@@ -4226,12 +4226,12 @@ NIL
 ((|HasCategory| |#4| (QUOTE (-317))) (|HasCategory| |#4| (QUOTE (-374))) (|HasCategory| |#4| (QUOTE (-568))) (|HasCategory| |#4| (QUOTE (-174)))) 
 (-1074 |m| |n| R |Row| |Col|) 
 ((|constructor| (NIL "\\spadtype{RectangularMatrixCategory} is a category of matrices of fixed dimensions. The dimensions of the matrix will be parameters of the domain. Domains in this category will be \\spad{R}-modules and will be non-mutable.")) (|nullSpace| (((|List| |#5|) $) "\\spad{nullSpace(m)}+ returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) $) "\\spad{nullity(m)} returns the nullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| (($ $) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.")) (/ (($ $ |#3|) "\\spad{m/r} divides the elements of \\spad{m} by \\spad{r}. Error: if \\spad{r = 0}.")) (|exquo| (((|Union| $ "failed") $ |#3|) "\\spad{exquo(m,r)} computes the exact quotient of the elements of \\spad{m} by \\spad{r},{} returning \\axiom{\"failed\"} if this is not possible.")) (|map| (($ (|Mapping| |#3| |#3| |#3|) $ $) "\\spad{map(f,a,b)} returns \\spad{c},{} where \\spad{c} is such that \\spad{c(i,j) = f(a(i,j),b(i,j))} for all \\spad{i},{} \\spad{j}.") (($ (|Mapping| |#3| |#3|) $) "\\spad{map(f,a)} returns \\spad{b},{} where \\spad{b(i,j) = a(i,j)} for all \\spad{i},{} \\spad{j}.")) (|column| ((|#5| $ (|Integer|)) "\\spad{column(m,j)} returns the \\spad{j}th column of the matrix \\spad{m}. Error: if the index outside the proper range.")) (|row| ((|#4| $ (|Integer|)) "\\spad{row(m,i)} returns the \\spad{i}th row of the matrix \\spad{m}. Error: if the index is outside the proper range.")) (|qelt| ((|#3| $ (|Integer|) (|Integer|)) "\\spad{qelt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m}. Note: there is NO error check to determine if indices are in the proper ranges.")) (|elt| ((|#3| $ (|Integer|) (|Integer|) |#3|) "\\spad{elt(m,i,j,r)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m},{} if \\spad{m} has an \\spad{i}th row and a \\spad{j}th column,{} and returns \\spad{r} otherwise.") ((|#3| $ (|Integer|) (|Integer|)) "\\spad{elt(m,i,j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m}. Error: if indices are outside the proper ranges.")) (|listOfLists| (((|List| (|List| |#3|)) $) "\\spad{listOfLists(m)} returns the rows of the matrix \\spad{m} as a list of lists.")) (|ncols| (((|NonNegativeInteger|) $) "\\spad{ncols(m)} returns the number of columns in the matrix \\spad{m}.")) (|nrows| (((|NonNegativeInteger|) $) "\\spad{nrows(m)} returns the number of rows in the matrix \\spad{m}.")) (|maxColIndex| (((|Integer|) $) "\\spad{maxColIndex(m)} returns the index of the 'last' column of the matrix \\spad{m}.")) (|minColIndex| (((|Integer|) $) "\\spad{minColIndex(m)} returns the index of the 'first' column of the matrix \\spad{m}.")) (|maxRowIndex| (((|Integer|) $) "\\spad{maxRowIndex(m)} returns the index of the 'last' row of the matrix \\spad{m}.")) (|minRowIndex| (((|Integer|) $) "\\spad{minRowIndex(m)} returns the index of the 'first' row of the matrix \\spad{m}.")) (|antisymmetric?| (((|Boolean|) $) "\\spad{antisymmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and antisymmetric (\\spadignore{i.e.} \\spad{m[i,j] = -m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|symmetric?| (((|Boolean|) $) "\\spad{symmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and symmetric (\\spadignore{i.e.} \\spad{m[i,j] = m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|diagonal?| (((|Boolean|) $) "\\spad{diagonal?(m)} returns \\spad{true} if the matrix \\spad{m} is square and diagonal (\\spadignore{i.e.} all entries of \\spad{m} not on the diagonal are zero) and \\spad{false} otherwise.")) (|square?| (((|Boolean|) $) "\\spad{square?(m)} returns \\spad{true} if \\spad{m} is a square matrix (\\spadignore{i.e.} if \\spad{m} has the same number of rows as columns) and \\spad{false} otherwise.")) (|matrix| (($ (|List| (|List| |#3|))) "\\spad{matrix(l)} converts the list of lists \\spad{l} to a matrix,{} where the list of lists is viewed as a list of the rows of the matrix.")) (|finiteAggregate| ((|attribute|) "matrices are finite"))) 
-((-4464 . T) (-4459 . T) (-4458 . T)) 
+((-4465 . T) (-4460 . T) (-4459 . T)) 
 NIL 
 (-1075 |m| |n| R) 
 ((|constructor| (NIL "\\spadtype{RectangularMatrix} is a matrix domain where the number of rows and the number of columns are parameters of the domain.")) (|rectangularMatrix| (($ (|Matrix| |#3|)) "\\spad{rectangularMatrix(m)} converts a matrix of type \\spadtype{Matrix} to a matrix of type \\spad{RectangularMatrix}."))) 
-((-4464 . T) (-4459 . T) (-4458 . T)) 
-((|HasCategory| |#3| (QUOTE (-174))) (-2758 (-12 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-374))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-1121))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|))))) (|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-548)))) (-2758 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-374)))) (|HasCategory| |#3| (QUOTE (-374))) (|HasCategory| |#3| (QUOTE (-1121))) (|HasCategory| |#3| (QUOTE (-317))) (|HasCategory| |#3| (QUOTE (-568))) (-12 (|HasCategory| |#3| (QUOTE (-1121))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (|HasCategory| |#3| (QUOTE (-102))) (|HasCategory| |#3| (LIST (QUOTE -625) (QUOTE (-876))))) 
+((-4465 . T) (-4460 . T) (-4459 . T)) 
+((|HasCategory| |#3| (QUOTE (-174))) (-2760 (-12 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-374))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-1121))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|))))) (|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-548)))) (-2760 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-374)))) (|HasCategory| |#3| (QUOTE (-374))) (|HasCategory| |#3| (QUOTE (-1121))) (|HasCategory| |#3| (QUOTE (-317))) (|HasCategory| |#3| (QUOTE (-568))) (-12 (|HasCategory| |#3| (QUOTE (-1121))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (|HasCategory| |#3| (QUOTE (-102))) (|HasCategory| |#3| (LIST (QUOTE -625) (QUOTE (-876))))) 
 (-1076 |m| |n| R1 |Row1| |Col1| M1 R2 |Row2| |Col2| M2) 
 ((|constructor| (NIL "\\spadtype{RectangularMatrixCategoryFunctions2} provides functions between two matrix domains. The functions provided are \\spadfun{map} and \\spadfun{reduce}.")) (|reduce| ((|#7| (|Mapping| |#7| |#3| |#7|) |#6| |#7|) "\\spad{reduce(f,m,r)} returns a matrix \\spad{n} where \\spad{n[i,j] = f(m[i,j],r)} for all indices spad{\\spad{i}} and \\spad{j}.")) (|map| ((|#10| (|Mapping| |#7| |#3|) |#6|) "\\spad{map(f,m)} applies the function \\spad{f} to the elements of the matrix \\spad{m}."))) 
 NIL 
@@ -4254,7 +4254,7 @@ NIL
 NIL 
 (-1081) 
 ((|constructor| (NIL "The real number system category is intended as a model for the real numbers. The real numbers form an ordered normed field. Note that we have purposely not included \\spadtype{DifferentialRing} or the elementary functions (see \\spadtype{TranscendentalFunctionCategory}) in the definition.")) (|abs| (($ $) "\\spad{abs x} returns the absolute value of \\spad{x}.")) (|round| (($ $) "\\spad{round x} computes the integer closest to \\spad{x}.")) (|truncate| (($ $) "\\spad{truncate x} returns the integer between \\spad{x} and 0 closest to \\spad{x}.")) (|fractionPart| (($ $) "\\spad{fractionPart x} returns the fractional part of \\spad{x}.")) (|wholePart| (((|Integer|) $) "\\spad{wholePart x} returns the integer part of \\spad{x}.")) (|floor| (($ $) "\\spad{floor x} returns the largest integer \\spad{<= x}.")) (|ceiling| (($ $) "\\spad{ceiling x} returns the small integer \\spad{>= x}.")) (|norm| (($ $) "\\spad{norm x} returns the same as absolute value."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-1082 |TheField| |ThePolDom|) 
 ((|constructor| (NIL "\\axiomType{RightOpenIntervalRootCharacterization} provides work with interval root coding.")) (|relativeApprox| ((|#1| |#2| $ |#1|) "\\axiom{relativeApprox(exp,{}\\spad{c},{}\\spad{p}) = a} is relatively close to exp as a polynomial in \\spad{c} ip to precision \\spad{p}")) (|mightHaveRoots| (((|Boolean|) |#2| $) "\\axiom{mightHaveRoots(\\spad{p},{}\\spad{r})} is \\spad{false} if \\axiom{\\spad{p}.\\spad{r}} is not 0")) (|refine| (($ $) "\\axiom{refine(rootChar)} shrinks isolating interval around \\axiom{rootChar}")) (|middle| ((|#1| $) "\\axiom{middle(rootChar)} is the middle of the isolating interval")) (|size| ((|#1| $) "The size of the isolating interval")) (|right| ((|#1| $) "\\axiom{right(rootChar)} is the right bound of the isolating interval")) (|left| ((|#1| $) "\\axiom{left(rootChar)} is the left bound of the isolating interval"))) 
@@ -4262,19 +4262,19 @@ NIL
 NIL 
 (-1083) 
 ((|constructor| (NIL "\\spadtype{RomanNumeral} provides functions for converting \\indented{1}{integers to roman numerals.}")) (|roman| (($ (|Integer|)) "\\spad{roman(n)} creates a roman numeral for \\spad{n}.") (($ (|Symbol|)) "\\spad{roman(n)} creates a roman numeral for symbol \\spad{n}.")) (|noetherian| ((|attribute|) "ascending chain condition on ideals.")) (|canonicalsClosed| ((|attribute|) "two positives multiply to give positive.")) (|canonical| ((|attribute|) "mathematical equality is data structure equality."))) 
-((-4452 . T) (-4456 . T) (-4451 . T) (-4462 . T) (-4463 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4453 . T) (-4457 . T) (-4452 . T) (-4463 . T) (-4464 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-1084) 
 ((|constructor| (NIL "\\axiomType{RoutinesTable} implements a database and associated tuning mechanisms for a set of known NAG routines")) (|recoverAfterFail| (((|Union| (|String|) "failed") $ (|String|) (|Integer|)) "\\spad{recoverAfterFail(routs,routineName,ifailValue)} acts on the instructions given by the ifail list")) (|showTheRoutinesTable| (($) "\\spad{showTheRoutinesTable()} returns the current table of NAG routines.")) (|deleteRoutine!| (($ $ (|Symbol|)) "\\spad{deleteRoutine!(R,s)} destructively deletes the given routine from the current database of NAG routines")) (|getExplanations| (((|List| (|String|)) $ (|String|)) "\\spad{getExplanations(R,s)} gets the explanations of the output parameters for the given NAG routine.")) (|getMeasure| (((|Float|) $ (|Symbol|)) "\\spad{getMeasure(R,s)} gets the current value of the maximum measure for the given NAG routine.")) (|changeMeasure| (($ $ (|Symbol|) (|Float|)) "\\spad{changeMeasure(R,s,newValue)} changes the maximum value for a measure of the given NAG routine.")) (|changeThreshhold| (($ $ (|Symbol|) (|Float|)) "\\spad{changeThreshhold(R,s,newValue)} changes the value below which,{} given a NAG routine generating a higher measure,{} the routines will make no attempt to generate a measure.")) (|selectMultiDimensionalRoutines| (($ $) "\\spad{selectMultiDimensionalRoutines(R)} chooses only those routines from the database which are designed for use with multi-dimensional expressions")) (|selectNonFiniteRoutines| (($ $) "\\spad{selectNonFiniteRoutines(R)} chooses only those routines from the database which are designed for use with non-finite expressions.")) (|selectSumOfSquaresRoutines| (($ $) "\\spad{selectSumOfSquaresRoutines(R)} chooses only those routines from the database which are designed for use with sums of squares")) (|selectFiniteRoutines| (($ $) "\\spad{selectFiniteRoutines(R)} chooses only those routines from the database which are designed for use with finite expressions")) (|selectODEIVPRoutines| (($ $) "\\spad{selectODEIVPRoutines(R)} chooses only those routines from the database which are for the solution of ODE\\spad{'s}")) (|selectPDERoutines| (($ $) "\\spad{selectPDERoutines(R)} chooses only those routines from the database which are for the solution of PDE\\spad{'s}")) (|selectOptimizationRoutines| (($ $) "\\spad{selectOptimizationRoutines(R)} chooses only those routines from the database which are for integration")) (|selectIntegrationRoutines| (($ $) "\\spad{selectIntegrationRoutines(R)} chooses only those routines from the database which are for integration")) (|routines| (($) "\\spad{routines()} initialises a database of known NAG routines")) (|concat| (($ $ $) "\\spad{concat(x,y)} merges two tables \\spad{x} and \\spad{y}"))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4300) (QUOTE (-1197))) (LIST (QUOTE |:|) (QUOTE -4438) (QUOTE (-52))))))) (-2758 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-1121)))) (-2758 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1121)))) (-2758 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (QUOTE (-1121))) (|HasCategory| (-1197) (QUOTE (-861))) (|HasCategory| (-52) (QUOTE (-1121))) (-2758 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (-2758 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (QUOTE (-102)))) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4301) (QUOTE (-1197))) (LIST (QUOTE |:|) (QUOTE -4440) (QUOTE (-52))))))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (QUOTE (-1121))) (|HasCategory| (-1197) (QUOTE (-861))) (|HasCategory| (-52) (QUOTE (-1121))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (QUOTE (-102)))) 
 (-1085 S R E V) 
 ((|constructor| (NIL "A category for general multi-variate polynomials with coefficients in a ring,{} variables in an ordered set,{} and exponents from an ordered abelian monoid,{} with a \\axiomOp{sup} operation. When not constant,{} such a polynomial is viewed as a univariate polynomial in its main variable \\spad{w}. \\spad{r}. \\spad{t}. to the total ordering on the elements in the ordered set,{} so that some operations usually defined for univariate polynomials make sense here.")) (|mainSquareFreePart| (($ $) "\\axiom{mainSquareFreePart(\\spad{p})} returns the square free part of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|mainPrimitivePart| (($ $) "\\axiom{mainPrimitivePart(\\spad{p})} returns the primitive part of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|mainContent| (($ $) "\\axiom{mainContent(\\spad{p})} returns the content of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|primitivePart!| (($ $) "\\axiom{primitivePart!(\\spad{p})} replaces \\axiom{\\spad{p}} by its primitive part.")) (|gcd| ((|#2| |#2| $) "\\axiom{\\spad{gcd}(\\spad{r},{}\\spad{p})} returns the \\spad{gcd} of \\axiom{\\spad{r}} and the content of \\axiom{\\spad{p}}.")) (|nextsubResultant2| (($ $ $ $ $) "\\axiom{nextsubResultant2(\\spad{p},{}\\spad{q},{}\\spad{z},{}\\spad{s})} is the multivariate version of the operation \\axiomOpFrom{next_sousResultant2}{PseudoRemainderSequence} from the \\axiomType{PseudoRemainderSequence} constructor.")) (|LazardQuotient2| (($ $ $ $ (|NonNegativeInteger|)) "\\axiom{LazardQuotient2(\\spad{p},{}a,{}\\spad{b},{}\\spad{n})} returns \\axiom{(a**(\\spad{n}-1) * \\spad{p}) exquo \\spad{b**}(\\spad{n}-1)} assuming that this quotient does not fail.")) (|LazardQuotient| (($ $ $ (|NonNegativeInteger|)) "\\axiom{LazardQuotient(a,{}\\spad{b},{}\\spad{n})} returns \\axiom{a**n exquo \\spad{b**}(\\spad{n}-1)} assuming that this quotient does not fail.")) (|lastSubResultant| (($ $ $) "\\axiom{lastSubResultant(a,{}\\spad{b})} returns the last non-zero subresultant of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}}.")) (|subResultantChain| (((|List| $) $ $) "\\axiom{subResultantChain(a,{}\\spad{b})},{} where \\axiom{a} and \\axiom{\\spad{b}} are not contant polynomials with the same main variable,{} returns the subresultant chain of \\axiom{a} and \\axiom{\\spad{b}}.")) (|resultant| (($ $ $) "\\axiom{resultant(a,{}\\spad{b})} computes the resultant of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}}.")) (|halfExtendedSubResultantGcd2| (((|Record| (|:| |gcd| $) (|:| |coef2| $)) $ $) "\\axiom{halfExtendedSubResultantGcd2(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}\\spad{cb}]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}\\spad{cb}]} otherwise produces an error.")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{halfExtendedSubResultantGcd1(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}\\spad{cb}]} otherwise produces an error.")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[ca,{}\\spad{cb},{}\\spad{r}]} such that \\axiom{\\spad{r}} is \\axiom{subResultantGcd(a,{}\\spad{b})} and we have \\axiom{ca * a + \\spad{cb} * \\spad{cb} = \\spad{r}} .")) (|subResultantGcd| (($ $ $) "\\axiom{subResultantGcd(a,{}\\spad{b})} computes a \\spad{gcd} of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}} with coefficients in the fraction field of the polynomial ring generated by their other variables over \\axiom{\\spad{R}}.")) (|exactQuotient!| (($ $ $) "\\axiom{exactQuotient!(a,{}\\spad{b})} replaces \\axiom{a} by \\axiom{exactQuotient(a,{}\\spad{b})}") (($ $ |#2|) "\\axiom{exactQuotient!(\\spad{p},{}\\spad{r})} replaces \\axiom{\\spad{p}} by \\axiom{exactQuotient(\\spad{p},{}\\spad{r})}.")) (|exactQuotient| (($ $ $) "\\axiom{exactQuotient(a,{}\\spad{b})} computes the exact quotient of \\axiom{a} by \\axiom{\\spad{b}},{} which is assumed to be a divisor of \\axiom{a}. No error is returned if this exact quotient fails!") (($ $ |#2|) "\\axiom{exactQuotient(\\spad{p},{}\\spad{r})} computes the exact quotient of \\axiom{\\spad{p}} by \\axiom{\\spad{r}},{} which is assumed to be a divisor of \\axiom{\\spad{p}}. No error is returned if this exact quotient fails!")) (|primPartElseUnitCanonical!| (($ $) "\\axiom{primPartElseUnitCanonical!(\\spad{p})} replaces \\axiom{\\spad{p}} by \\axiom{primPartElseUnitCanonical(\\spad{p})}.")) (|primPartElseUnitCanonical| (($ $) "\\axiom{primPartElseUnitCanonical(\\spad{p})} returns \\axiom{primitivePart(\\spad{p})} if \\axiom{\\spad{R}} is a \\spad{gcd}-domain,{} otherwise \\axiom{unitCanonical(\\spad{p})}.")) (|convert| (($ (|Polynomial| |#2|)) "\\axiom{convert(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}},{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}.") (($ (|Polynomial| (|Integer|))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}") (($ (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}.")) (|retract| (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.")) (|retractIfCan| (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.")) (|initiallyReduce| (($ $ $) "\\axiom{initiallyReduce(a,{}\\spad{b})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{initiallyReduced?(\\spad{r},{}\\spad{b})} holds and there exists an integer \\axiom{\\spad{e}} such that \\axiom{init(\\spad{b})^e a - \\spad{r}} is zero modulo \\axiom{\\spad{b}}.")) (|headReduce| (($ $ $) "\\axiom{headReduce(a,{}\\spad{b})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{headReduced?(\\spad{r},{}\\spad{b})} holds and there exists an integer \\axiom{\\spad{e}} such that \\axiom{init(\\spad{b})^e a - \\spad{r}} is zero modulo \\axiom{\\spad{b}}.")) (|lazyResidueClass| (((|Record| (|:| |polnum| $) (|:| |polden| $) (|:| |power| (|NonNegativeInteger|))) $ $) "\\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{p},{}\\spad{q},{}\\spad{n}]} where \\axiom{\\spad{p} / q**n} represents the residue class of \\axiom{a} modulo \\axiom{\\spad{b}} and \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{q}} is \\axiom{init(\\spad{b})}.")) (|monicModulo| (($ $ $) "\\axiom{monicModulo(a,{}\\spad{b})} computes \\axiom{a mod \\spad{b}},{} if \\axiom{\\spad{b}} is monic as univariate polynomial in its main variable.")) (|pseudoDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{pseudoDivide(a,{}\\spad{b})} computes \\axiom{[pquo(a,{}\\spad{b}),{}prem(a,{}\\spad{b})]},{} both polynomials viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}},{} if \\axiom{\\spad{b}} is not a constant polynomial.")) (|lazyPseudoDivide| (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $ |#4|) "\\axiom{lazyPseudoDivide(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b},{}\\spad{v})},{} \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b},{}\\spad{v})} and \\axiom{\\spad{q}} is the pseudo-quotient computed in this lazy pseudo-division.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}] = lazyPremWithDefault(a,{}\\spad{b})} and \\axiom{\\spad{q}} is the pseudo-quotient computed in this lazy pseudo-division.")) (|lazyPremWithDefault| (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $ |#4|) "\\axiom{lazyPremWithDefault(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b},{}\\spad{v})} and \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b},{}\\spad{v})}.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $) "\\axiom{lazyPremWithDefault(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b})} and \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b})}.")) (|lazyPquo| (($ $ $ |#4|) "\\axiom{lazyPquo(a,{}\\spad{b},{}\\spad{v})} returns the polynomial \\axiom{\\spad{q}} such that \\axiom{lazyPseudoDivide(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}.") (($ $ $) "\\axiom{lazyPquo(a,{}\\spad{b})} returns the polynomial \\axiom{\\spad{q}} such that \\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}.")) (|lazyPrem| (($ $ $ |#4|) "\\axiom{lazyPrem(a,{}\\spad{b},{}\\spad{v})} returns the polynomial \\axiom{\\spad{r}} reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} viewed as univariate polynomials in the variable \\axiom{\\spad{v}} such that \\axiom{\\spad{b}} divides \\axiom{init(\\spad{b})^e a - \\spad{r}} where \\axiom{\\spad{e}} is the number of steps of this pseudo-division.") (($ $ $) "\\axiom{lazyPrem(a,{}\\spad{b})} returns the polynomial \\axiom{\\spad{r}} reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and such that \\axiom{\\spad{b}} divides \\axiom{init(\\spad{b})^e a - \\spad{r}} where \\axiom{\\spad{e}} is the number of steps of this pseudo-division.")) (|pquo| (($ $ $ |#4|) "\\axiom{pquo(a,{}\\spad{b},{}\\spad{v})} computes the pseudo-quotient of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in \\axiom{\\spad{v}}.") (($ $ $) "\\axiom{pquo(a,{}\\spad{b})} computes the pseudo-quotient of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}}.")) (|prem| (($ $ $ |#4|) "\\axiom{prem(a,{}\\spad{b},{}\\spad{v})} computes the pseudo-remainder of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in \\axiom{\\spad{v}}.") (($ $ $) "\\axiom{prem(a,{}\\spad{b})} computes the pseudo-remainder of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}}.")) (|normalized?| (((|Boolean|) $ (|List| $)) "\\axiom{normalized?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{normalized?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{normalized?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{a} and its iterated initials have degree zero \\spad{w}.\\spad{r}.\\spad{t}. the main variable of \\axiom{\\spad{b}}")) (|initiallyReduced?| (((|Boolean|) $ (|List| $)) "\\axiom{initiallyReduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{initiallyReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{initiallyReduced?(a,{}\\spad{b})} returns \\spad{false} iff there exists an iterated initial of \\axiom{a} which is not reduced \\spad{w}.\\spad{r}.\\spad{t} \\axiom{\\spad{b}}.")) (|headReduced?| (((|Boolean|) $ (|List| $)) "\\axiom{headReduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{headReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{headReduced?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{degree(head(a),{}mvar(\\spad{b})) < mdeg(\\spad{b})}.")) (|reduced?| (((|Boolean|) $ (|List| $)) "\\axiom{reduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{reduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{reduced?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{degree(a,{}mvar(\\spad{b})) < mdeg(\\spad{b})}.")) (|supRittWu?| (((|Boolean|) $ $) "\\axiom{supRittWu?(a,{}\\spad{b})} returns \\spad{true} if \\axiom{a} is greater than \\axiom{\\spad{b}} \\spad{w}.\\spad{r}.\\spad{t}. the Ritt and Wu Wen Tsun ordering using the refinement of Lazard.")) (|infRittWu?| (((|Boolean|) $ $) "\\axiom{infRittWu?(a,{}\\spad{b})} returns \\spad{true} if \\axiom{a} is less than \\axiom{\\spad{b}} \\spad{w}.\\spad{r}.\\spad{t}. the Ritt and Wu Wen Tsun ordering using the refinement of Lazard.")) (|RittWuCompare| (((|Union| (|Boolean|) "failed") $ $) "\\axiom{RittWuCompare(a,{}\\spad{b})} returns \\axiom{\"failed\"} if \\axiom{a} and \\axiom{\\spad{b}} have same rank \\spad{w}.\\spad{r}.\\spad{t}. Ritt and Wu Wen Tsun ordering using the refinement of Lazard,{} otherwise returns \\axiom{infRittWu?(a,{}\\spad{b})}.")) (|mainMonomials| (((|List| $) $) "\\axiom{mainMonomials(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns [1],{} otherwise returns the list of the monomials of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mainCoefficients| (((|List| $) $) "\\axiom{mainCoefficients(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns [\\spad{p}],{} otherwise returns the list of the coefficients of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|leastMonomial| (($ $) "\\axiom{leastMonomial(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{1},{} otherwise,{} the monomial of \\axiom{\\spad{p}} with lowest degree,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mainMonomial| (($ $) "\\axiom{mainMonomial(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{1},{} otherwise,{} \\axiom{mvar(\\spad{p})} raised to the power \\axiom{mdeg(\\spad{p})}.")) (|quasiMonic?| (((|Boolean|) $) "\\axiom{quasiMonic?(\\spad{p})} returns \\spad{false} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns \\spad{true} iff the initial of \\axiom{\\spad{p}} lies in the base ring \\axiom{\\spad{R}}.")) (|monic?| (((|Boolean|) $) "\\axiom{monic?(\\spad{p})} returns \\spad{false} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns \\spad{true} iff \\axiom{\\spad{p}} is monic as a univariate polynomial in its main variable.")) (|reductum| (($ $ |#4|) "\\axiom{reductum(\\spad{p},{}\\spad{v})} returns the reductum of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in \\axiom{\\spad{v}}.")) (|leadingCoefficient| (($ $ |#4|) "\\axiom{leadingCoefficient(\\spad{p},{}\\spad{v})} returns the leading coefficient of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as A univariate polynomial in \\axiom{\\spad{v}}.")) (|deepestInitial| (($ $) "\\axiom{deepestInitial(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns the last term of \\axiom{iteratedInitials(\\spad{p})}.")) (|iteratedInitials| (((|List| $) $) "\\axiom{iteratedInitials(\\spad{p})} returns \\axiom{[]} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns the list of the iterated initials of \\axiom{\\spad{p}}.")) (|deepestTail| (($ $) "\\axiom{deepestTail(\\spad{p})} returns \\axiom{0} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns tail(\\spad{p}),{} if \\axiom{tail(\\spad{p})} belongs to \\axiom{\\spad{R}} or \\axiom{mvar(tail(\\spad{p})) < mvar(\\spad{p})},{} otherwise returns \\axiom{deepestTail(tail(\\spad{p}))}.")) (|tail| (($ $) "\\axiom{tail(\\spad{p})} returns its reductum,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|head| (($ $) "\\axiom{head(\\spad{p})} returns \\axiom{\\spad{p}} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its leading term (monomial in the AXIOM sense),{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|init| (($ $) "\\axiom{init(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its leading coefficient,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mdeg| (((|NonNegativeInteger|) $) "\\axiom{mdeg(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{0},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{0},{} otherwise,{} returns the degree of \\axiom{\\spad{p}} in its main variable.")) (|mvar| ((|#4| $) "\\axiom{mvar(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its main variable \\spad{w}. \\spad{r}. \\spad{t}. to the total ordering on the elements in \\axiom{\\spad{V}}."))) 
 NIL 
 ((|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-557))) (|HasCategory| |#2| (LIST (QUOTE -38) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -1013) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#4| (LIST (QUOTE -626) (QUOTE (-1197))))) 
 (-1086 R E V) 
 ((|constructor| (NIL "A category for general multi-variate polynomials with coefficients in a ring,{} variables in an ordered set,{} and exponents from an ordered abelian monoid,{} with a \\axiomOp{sup} operation. When not constant,{} such a polynomial is viewed as a univariate polynomial in its main variable \\spad{w}. \\spad{r}. \\spad{t}. to the total ordering on the elements in the ordered set,{} so that some operations usually defined for univariate polynomials make sense here.")) (|mainSquareFreePart| (($ $) "\\axiom{mainSquareFreePart(\\spad{p})} returns the square free part of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|mainPrimitivePart| (($ $) "\\axiom{mainPrimitivePart(\\spad{p})} returns the primitive part of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|mainContent| (($ $) "\\axiom{mainContent(\\spad{p})} returns the content of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|primitivePart!| (($ $) "\\axiom{primitivePart!(\\spad{p})} replaces \\axiom{\\spad{p}} by its primitive part.")) (|gcd| ((|#1| |#1| $) "\\axiom{\\spad{gcd}(\\spad{r},{}\\spad{p})} returns the \\spad{gcd} of \\axiom{\\spad{r}} and the content of \\axiom{\\spad{p}}.")) (|nextsubResultant2| (($ $ $ $ $) "\\axiom{nextsubResultant2(\\spad{p},{}\\spad{q},{}\\spad{z},{}\\spad{s})} is the multivariate version of the operation \\axiomOpFrom{next_sousResultant2}{PseudoRemainderSequence} from the \\axiomType{PseudoRemainderSequence} constructor.")) (|LazardQuotient2| (($ $ $ $ (|NonNegativeInteger|)) "\\axiom{LazardQuotient2(\\spad{p},{}a,{}\\spad{b},{}\\spad{n})} returns \\axiom{(a**(\\spad{n}-1) * \\spad{p}) exquo \\spad{b**}(\\spad{n}-1)} assuming that this quotient does not fail.")) (|LazardQuotient| (($ $ $ (|NonNegativeInteger|)) "\\axiom{LazardQuotient(a,{}\\spad{b},{}\\spad{n})} returns \\axiom{a**n exquo \\spad{b**}(\\spad{n}-1)} assuming that this quotient does not fail.")) (|lastSubResultant| (($ $ $) "\\axiom{lastSubResultant(a,{}\\spad{b})} returns the last non-zero subresultant of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}}.")) (|subResultantChain| (((|List| $) $ $) "\\axiom{subResultantChain(a,{}\\spad{b})},{} where \\axiom{a} and \\axiom{\\spad{b}} are not contant polynomials with the same main variable,{} returns the subresultant chain of \\axiom{a} and \\axiom{\\spad{b}}.")) (|resultant| (($ $ $) "\\axiom{resultant(a,{}\\spad{b})} computes the resultant of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}}.")) (|halfExtendedSubResultantGcd2| (((|Record| (|:| |gcd| $) (|:| |coef2| $)) $ $) "\\axiom{halfExtendedSubResultantGcd2(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}\\spad{cb}]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}\\spad{cb}]} otherwise produces an error.")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{halfExtendedSubResultantGcd1(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}\\spad{cb}]} otherwise produces an error.")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[ca,{}\\spad{cb},{}\\spad{r}]} such that \\axiom{\\spad{r}} is \\axiom{subResultantGcd(a,{}\\spad{b})} and we have \\axiom{ca * a + \\spad{cb} * \\spad{cb} = \\spad{r}} .")) (|subResultantGcd| (($ $ $) "\\axiom{subResultantGcd(a,{}\\spad{b})} computes a \\spad{gcd} of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}} with coefficients in the fraction field of the polynomial ring generated by their other variables over \\axiom{\\spad{R}}.")) (|exactQuotient!| (($ $ $) "\\axiom{exactQuotient!(a,{}\\spad{b})} replaces \\axiom{a} by \\axiom{exactQuotient(a,{}\\spad{b})}") (($ $ |#1|) "\\axiom{exactQuotient!(\\spad{p},{}\\spad{r})} replaces \\axiom{\\spad{p}} by \\axiom{exactQuotient(\\spad{p},{}\\spad{r})}.")) (|exactQuotient| (($ $ $) "\\axiom{exactQuotient(a,{}\\spad{b})} computes the exact quotient of \\axiom{a} by \\axiom{\\spad{b}},{} which is assumed to be a divisor of \\axiom{a}. No error is returned if this exact quotient fails!") (($ $ |#1|) "\\axiom{exactQuotient(\\spad{p},{}\\spad{r})} computes the exact quotient of \\axiom{\\spad{p}} by \\axiom{\\spad{r}},{} which is assumed to be a divisor of \\axiom{\\spad{p}}. No error is returned if this exact quotient fails!")) (|primPartElseUnitCanonical!| (($ $) "\\axiom{primPartElseUnitCanonical!(\\spad{p})} replaces \\axiom{\\spad{p}} by \\axiom{primPartElseUnitCanonical(\\spad{p})}.")) (|primPartElseUnitCanonical| (($ $) "\\axiom{primPartElseUnitCanonical(\\spad{p})} returns \\axiom{primitivePart(\\spad{p})} if \\axiom{\\spad{R}} is a \\spad{gcd}-domain,{} otherwise \\axiom{unitCanonical(\\spad{p})}.")) (|convert| (($ (|Polynomial| |#1|)) "\\axiom{convert(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}},{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}.") (($ (|Polynomial| (|Integer|))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}") (($ (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}.")) (|retract| (($ (|Polynomial| |#1|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| |#1|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| |#1|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.")) (|retractIfCan| (((|Union| $ "failed") (|Polynomial| |#1|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| |#1|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| |#1|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.")) (|initiallyReduce| (($ $ $) "\\axiom{initiallyReduce(a,{}\\spad{b})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{initiallyReduced?(\\spad{r},{}\\spad{b})} holds and there exists an integer \\axiom{\\spad{e}} such that \\axiom{init(\\spad{b})^e a - \\spad{r}} is zero modulo \\axiom{\\spad{b}}.")) (|headReduce| (($ $ $) "\\axiom{headReduce(a,{}\\spad{b})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{headReduced?(\\spad{r},{}\\spad{b})} holds and there exists an integer \\axiom{\\spad{e}} such that \\axiom{init(\\spad{b})^e a - \\spad{r}} is zero modulo \\axiom{\\spad{b}}.")) (|lazyResidueClass| (((|Record| (|:| |polnum| $) (|:| |polden| $) (|:| |power| (|NonNegativeInteger|))) $ $) "\\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{p},{}\\spad{q},{}\\spad{n}]} where \\axiom{\\spad{p} / q**n} represents the residue class of \\axiom{a} modulo \\axiom{\\spad{b}} and \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{q}} is \\axiom{init(\\spad{b})}.")) (|monicModulo| (($ $ $) "\\axiom{monicModulo(a,{}\\spad{b})} computes \\axiom{a mod \\spad{b}},{} if \\axiom{\\spad{b}} is monic as univariate polynomial in its main variable.")) (|pseudoDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{pseudoDivide(a,{}\\spad{b})} computes \\axiom{[pquo(a,{}\\spad{b}),{}prem(a,{}\\spad{b})]},{} both polynomials viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}},{} if \\axiom{\\spad{b}} is not a constant polynomial.")) (|lazyPseudoDivide| (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $ |#3|) "\\axiom{lazyPseudoDivide(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b},{}\\spad{v})},{} \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b},{}\\spad{v})} and \\axiom{\\spad{q}} is the pseudo-quotient computed in this lazy pseudo-division.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}] = lazyPremWithDefault(a,{}\\spad{b})} and \\axiom{\\spad{q}} is the pseudo-quotient computed in this lazy pseudo-division.")) (|lazyPremWithDefault| (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $ |#3|) "\\axiom{lazyPremWithDefault(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b},{}\\spad{v})} and \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b},{}\\spad{v})}.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $) "\\axiom{lazyPremWithDefault(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b})} and \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b})}.")) (|lazyPquo| (($ $ $ |#3|) "\\axiom{lazyPquo(a,{}\\spad{b},{}\\spad{v})} returns the polynomial \\axiom{\\spad{q}} such that \\axiom{lazyPseudoDivide(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}.") (($ $ $) "\\axiom{lazyPquo(a,{}\\spad{b})} returns the polynomial \\axiom{\\spad{q}} such that \\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}.")) (|lazyPrem| (($ $ $ |#3|) "\\axiom{lazyPrem(a,{}\\spad{b},{}\\spad{v})} returns the polynomial \\axiom{\\spad{r}} reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} viewed as univariate polynomials in the variable \\axiom{\\spad{v}} such that \\axiom{\\spad{b}} divides \\axiom{init(\\spad{b})^e a - \\spad{r}} where \\axiom{\\spad{e}} is the number of steps of this pseudo-division.") (($ $ $) "\\axiom{lazyPrem(a,{}\\spad{b})} returns the polynomial \\axiom{\\spad{r}} reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and such that \\axiom{\\spad{b}} divides \\axiom{init(\\spad{b})^e a - \\spad{r}} where \\axiom{\\spad{e}} is the number of steps of this pseudo-division.")) (|pquo| (($ $ $ |#3|) "\\axiom{pquo(a,{}\\spad{b},{}\\spad{v})} computes the pseudo-quotient of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in \\axiom{\\spad{v}}.") (($ $ $) "\\axiom{pquo(a,{}\\spad{b})} computes the pseudo-quotient of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}}.")) (|prem| (($ $ $ |#3|) "\\axiom{prem(a,{}\\spad{b},{}\\spad{v})} computes the pseudo-remainder of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in \\axiom{\\spad{v}}.") (($ $ $) "\\axiom{prem(a,{}\\spad{b})} computes the pseudo-remainder of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}}.")) (|normalized?| (((|Boolean|) $ (|List| $)) "\\axiom{normalized?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{normalized?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{normalized?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{a} and its iterated initials have degree zero \\spad{w}.\\spad{r}.\\spad{t}. the main variable of \\axiom{\\spad{b}}")) (|initiallyReduced?| (((|Boolean|) $ (|List| $)) "\\axiom{initiallyReduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{initiallyReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{initiallyReduced?(a,{}\\spad{b})} returns \\spad{false} iff there exists an iterated initial of \\axiom{a} which is not reduced \\spad{w}.\\spad{r}.\\spad{t} \\axiom{\\spad{b}}.")) (|headReduced?| (((|Boolean|) $ (|List| $)) "\\axiom{headReduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{headReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{headReduced?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{degree(head(a),{}mvar(\\spad{b})) < mdeg(\\spad{b})}.")) (|reduced?| (((|Boolean|) $ (|List| $)) "\\axiom{reduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{reduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{reduced?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{degree(a,{}mvar(\\spad{b})) < mdeg(\\spad{b})}.")) (|supRittWu?| (((|Boolean|) $ $) "\\axiom{supRittWu?(a,{}\\spad{b})} returns \\spad{true} if \\axiom{a} is greater than \\axiom{\\spad{b}} \\spad{w}.\\spad{r}.\\spad{t}. the Ritt and Wu Wen Tsun ordering using the refinement of Lazard.")) (|infRittWu?| (((|Boolean|) $ $) "\\axiom{infRittWu?(a,{}\\spad{b})} returns \\spad{true} if \\axiom{a} is less than \\axiom{\\spad{b}} \\spad{w}.\\spad{r}.\\spad{t}. the Ritt and Wu Wen Tsun ordering using the refinement of Lazard.")) (|RittWuCompare| (((|Union| (|Boolean|) "failed") $ $) "\\axiom{RittWuCompare(a,{}\\spad{b})} returns \\axiom{\"failed\"} if \\axiom{a} and \\axiom{\\spad{b}} have same rank \\spad{w}.\\spad{r}.\\spad{t}. Ritt and Wu Wen Tsun ordering using the refinement of Lazard,{} otherwise returns \\axiom{infRittWu?(a,{}\\spad{b})}.")) (|mainMonomials| (((|List| $) $) "\\axiom{mainMonomials(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns [1],{} otherwise returns the list of the monomials of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mainCoefficients| (((|List| $) $) "\\axiom{mainCoefficients(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns [\\spad{p}],{} otherwise returns the list of the coefficients of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|leastMonomial| (($ $) "\\axiom{leastMonomial(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{1},{} otherwise,{} the monomial of \\axiom{\\spad{p}} with lowest degree,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mainMonomial| (($ $) "\\axiom{mainMonomial(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{1},{} otherwise,{} \\axiom{mvar(\\spad{p})} raised to the power \\axiom{mdeg(\\spad{p})}.")) (|quasiMonic?| (((|Boolean|) $) "\\axiom{quasiMonic?(\\spad{p})} returns \\spad{false} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns \\spad{true} iff the initial of \\axiom{\\spad{p}} lies in the base ring \\axiom{\\spad{R}}.")) (|monic?| (((|Boolean|) $) "\\axiom{monic?(\\spad{p})} returns \\spad{false} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns \\spad{true} iff \\axiom{\\spad{p}} is monic as a univariate polynomial in its main variable.")) (|reductum| (($ $ |#3|) "\\axiom{reductum(\\spad{p},{}\\spad{v})} returns the reductum of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in \\axiom{\\spad{v}}.")) (|leadingCoefficient| (($ $ |#3|) "\\axiom{leadingCoefficient(\\spad{p},{}\\spad{v})} returns the leading coefficient of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as A univariate polynomial in \\axiom{\\spad{v}}.")) (|deepestInitial| (($ $) "\\axiom{deepestInitial(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns the last term of \\axiom{iteratedInitials(\\spad{p})}.")) (|iteratedInitials| (((|List| $) $) "\\axiom{iteratedInitials(\\spad{p})} returns \\axiom{[]} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns the list of the iterated initials of \\axiom{\\spad{p}}.")) (|deepestTail| (($ $) "\\axiom{deepestTail(\\spad{p})} returns \\axiom{0} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns tail(\\spad{p}),{} if \\axiom{tail(\\spad{p})} belongs to \\axiom{\\spad{R}} or \\axiom{mvar(tail(\\spad{p})) < mvar(\\spad{p})},{} otherwise returns \\axiom{deepestTail(tail(\\spad{p}))}.")) (|tail| (($ $) "\\axiom{tail(\\spad{p})} returns its reductum,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|head| (($ $) "\\axiom{head(\\spad{p})} returns \\axiom{\\spad{p}} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its leading term (monomial in the AXIOM sense),{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|init| (($ $) "\\axiom{init(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its leading coefficient,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mdeg| (((|NonNegativeInteger|) $) "\\axiom{mdeg(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{0},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{0},{} otherwise,{} returns the degree of \\axiom{\\spad{p}} in its main variable.")) (|mvar| ((|#3| $) "\\axiom{mvar(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its main variable \\spad{w}. \\spad{r}. \\spad{t}. to the total ordering on the elements in \\axiom{\\spad{V}}."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4463 |has| |#1| (-6 -4463)) (-4460 . T) (-4459 . T) (-4462 . T)) 
 NIL 
 (-1087) 
 ((|constructor| (NIL "This domain represents the `repeat' iterator syntax.")) (|body| (((|SpadAst|) $) "\\spad{body(e)} returns the body of the loop `e'.")) (|iterators| (((|List| (|SpadAst|)) $) "\\spad{iterators(e)} returns the list of iterators controlling the loop `e'."))) 
@@ -4298,7 +4298,7 @@ NIL
 NIL 
 (-1092 R E V P) 
 ((|constructor| (NIL "The category of regular triangular sets,{} introduced under the name regular chains in [1] (and other papers). In [3] it is proved that regular triangular sets and towers of simple extensions of a field are equivalent notions. In the following definitions,{} all polynomials and ideals are taken from the polynomial ring \\spad{k[x1,...,xn]} where \\spad{k} is the fraction field of \\spad{R}. The triangular set \\spad{[t1,...,tm]} is regular iff for every \\spad{i} the initial of \\spad{ti+1} is invertible in the tower of simple extensions associated with \\spad{[t1,...,ti]}. A family \\spad{[T1,...,Ts]} of regular triangular sets is a split of Kalkbrener of a given ideal \\spad{I} iff the radical of \\spad{I} is equal to the intersection of the radical ideals generated by the saturated ideals of the \\spad{[T1,...,Ti]}. A family \\spad{[T1,...,Ts]} of regular triangular sets is a split of Kalkbrener of a given triangular set \\spad{T} iff it is a split of Kalkbrener of the saturated ideal of \\spad{T}. Let \\spad{K} be an algebraic closure of \\spad{k}. Assume that \\spad{V} is finite with cardinality \\spad{n} and let \\spad{A} be the affine space \\spad{K^n}. For a regular triangular set \\spad{T} let denote by \\spad{W(T)} the set of regular zeros of \\spad{T}. A family \\spad{[T1,...,Ts]} of regular triangular sets is a split of Lazard of a given subset \\spad{S} of \\spad{A} iff the union of the \\spad{W(Ti)} contains \\spad{S} and is contained in the closure of \\spad{S} (\\spad{w}.\\spad{r}.\\spad{t}. Zariski topology). A family \\spad{[T1,...,Ts]} of regular triangular sets is a split of Lazard of a given triangular set \\spad{T} if it is a split of Lazard of \\spad{W(T)}. Note that if \\spad{[T1,...,Ts]} is a split of Lazard of \\spad{T} then it is also a split of Kalkbrener of \\spad{T}. The converse is \\spad{false}. This category provides operations related to both kinds of splits,{} the former being related to ideals decomposition whereas the latter deals with varieties decomposition. See the example illustrating the \\spadtype{RegularTriangularSet} constructor for more explanations about decompositions by means of regular triangular sets. \\newline References : \\indented{1}{[1] \\spad{M}. KALKBRENER \"Three contributions to elimination theory\"} \\indented{5}{\\spad{Phd} Thesis,{} University of Linz,{} Austria,{} 1991.} \\indented{1}{[2] \\spad{M}. KALKBRENER \"Algorithmic properties of polynomial rings\"} \\indented{5}{Journal of Symbol. Comp. 1998} \\indented{1}{[3] \\spad{P}. AUBRY,{} \\spad{D}. LAZARD and \\spad{M}. MORENO MAZA \"On the Theories} \\indented{5}{of Triangular Sets\" Journal of Symbol. Comp. (to appear)} \\indented{1}{[4] \\spad{M}. MORENO MAZA \"A new algorithm for computing triangular} \\indented{5}{decomposition of algebraic varieties\" NAG Tech. Rep. 4/98.}")) (|zeroSetSplit| (((|List| $) (|List| |#4|) (|Boolean|)) "\\spad{zeroSetSplit(lp,clos?)} returns \\spad{lts} a split of Kalkbrener of the radical ideal associated with \\spad{lp}. If \\spad{clos?} is \\spad{false},{} it is also a decomposition of the variety associated with \\spad{lp} into the regular zero set of the \\spad{ts} in \\spad{lts} (or,{} in other words,{} a split of Lazard of this variety). See the example illustrating the \\spadtype{RegularTriangularSet} constructor for more explanations about decompositions by means of regular triangular sets.")) (|extend| (((|List| $) (|List| |#4|) (|List| $)) "\\spad{extend(lp,lts)} returns the same as \\spad{concat([extend(lp,ts) for ts in lts])|}") (((|List| $) (|List| |#4|) $) "\\spad{extend(lp,ts)} returns \\spad{ts} if \\spad{empty? lp} \\spad{extend(p,ts)} if \\spad{lp = [p]} else \\spad{extend(first lp, extend(rest lp, ts))}") (((|List| $) |#4| (|List| $)) "\\spad{extend(p,lts)} returns the same as \\spad{concat([extend(p,ts) for ts in lts])|}") (((|List| $) |#4| $) "\\spad{extend(p,ts)} assumes that \\spad{p} is a non-constant polynomial whose main variable is greater than any variable of \\spad{ts}. Then it returns a split of Kalkbrener of \\spad{ts+p}. This may not be \\spad{ts+p} itself,{} if for instance \\spad{ts+p} is not a regular triangular set.")) (|internalAugment| (($ (|List| |#4|) $) "\\spad{internalAugment(lp,ts)} returns \\spad{ts} if \\spad{lp} is empty otherwise returns \\spad{internalAugment(rest lp, internalAugment(first lp, ts))}") (($ |#4| $) "\\spad{internalAugment(p,ts)} assumes that \\spad{augment(p,ts)} returns a singleton and returns it.")) (|augment| (((|List| $) (|List| |#4|) (|List| $)) "\\spad{augment(lp,lts)} returns the same as \\spad{concat([augment(lp,ts) for ts in lts])}") (((|List| $) (|List| |#4|) $) "\\spad{augment(lp,ts)} returns \\spad{ts} if \\spad{empty? lp},{} \\spad{augment(p,ts)} if \\spad{lp = [p]},{} otherwise \\spad{augment(first lp, augment(rest lp, ts))}") (((|List| $) |#4| (|List| $)) "\\spad{augment(p,lts)} returns the same as \\spad{concat([augment(p,ts) for ts in lts])}") (((|List| $) |#4| $) "\\spad{augment(p,ts)} assumes that \\spad{p} is a non-constant polynomial whose main variable is greater than any variable of \\spad{ts}. This operation assumes also that if \\spad{p} is added to \\spad{ts} the resulting set,{} say \\spad{ts+p},{} is a regular triangular set. Then it returns a split of Kalkbrener of \\spad{ts+p}. This may not be \\spad{ts+p} itself,{} if for instance \\spad{ts+p} is required to be square-free.")) (|intersect| (((|List| $) |#4| (|List| $)) "\\spad{intersect(p,lts)} returns the same as \\spad{intersect([p],lts)}") (((|List| $) (|List| |#4|) (|List| $)) "\\spad{intersect(lp,lts)} returns the same as \\spad{concat([intersect(lp,ts) for ts in lts])|}") (((|List| $) (|List| |#4|) $) "\\spad{intersect(lp,ts)} returns \\spad{lts} a split of Lazard of the intersection of the affine variety associated with \\spad{lp} and the regular zero set of \\spad{ts}.") (((|List| $) |#4| $) "\\spad{intersect(p,ts)} returns the same as \\spad{intersect([p],ts)}")) (|squareFreePart| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| $))) |#4| $) "\\spad{squareFreePart(p,ts)} returns \\spad{lpwt} such that \\spad{lpwt.i.val} is a square-free polynomial \\spad{w}.\\spad{r}.\\spad{t}. \\spad{lpwt.i.tower},{} this polynomial being associated with \\spad{p} modulo \\spad{lpwt.i.tower},{} for every \\spad{i}. Moreover,{} the list of the \\spad{lpwt.i.tower} is a split of Kalkbrener of \\spad{ts}. WARNING: This assumes that \\spad{p} is a non-constant polynomial such that if \\spad{p} is added to \\spad{ts},{} then the resulting set is a regular triangular set.")) (|lastSubResultant| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| $))) |#4| |#4| $) "\\spad{lastSubResultant(p1,p2,ts)} returns \\spad{lpwt} such that \\spad{lpwt.i.val} is a quasi-monic \\spad{gcd} of \\spad{p1} and \\spad{p2} \\spad{w}.\\spad{r}.\\spad{t}. \\spad{lpwt.i.tower},{} for every \\spad{i},{} and such that the list of the \\spad{lpwt.i.tower} is a split of Kalkbrener of \\spad{ts}. Moreover,{} if \\spad{p1} and \\spad{p2} do not have a non-trivial \\spad{gcd} \\spad{w}.\\spad{r}.\\spad{t}. \\spad{lpwt.i.tower} then \\spad{lpwt.i.val} is the resultant of these polynomials \\spad{w}.\\spad{r}.\\spad{t}. \\spad{lpwt.i.tower}. This assumes that \\spad{p1} and \\spad{p2} have the same maim variable and that this variable is greater that any variable occurring in \\spad{ts}.")) (|lastSubResultantElseSplit| (((|Union| |#4| (|List| $)) |#4| |#4| $) "\\spad{lastSubResultantElseSplit(p1,p2,ts)} returns either \\spad{g} a quasi-monic \\spad{gcd} of \\spad{p1} and \\spad{p2} \\spad{w}.\\spad{r}.\\spad{t}. the \\spad{ts} or a split of Kalkbrener of \\spad{ts}. This assumes that \\spad{p1} and \\spad{p2} have the same maim variable and that this variable is greater that any variable occurring in \\spad{ts}.")) (|invertibleSet| (((|List| $) |#4| $) "\\spad{invertibleSet(p,ts)} returns a split of Kalkbrener of the quotient ideal of the ideal \\axiom{\\spad{I}} by \\spad{p} where \\spad{I} is the radical of saturated of \\spad{ts}.")) (|invertible?| (((|Boolean|) |#4| $) "\\spad{invertible?(p,ts)} returns \\spad{true} iff \\spad{p} is invertible in the tower associated with \\spad{ts}.") (((|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| $))) |#4| $) "\\spad{invertible?(p,ts)} returns \\spad{lbwt} where \\spad{lbwt.i} is the result of \\spad{invertibleElseSplit?(p,lbwt.i.tower)} and the list of the \\spad{(lqrwt.i).tower} is a split of Kalkbrener of \\spad{ts}.")) (|invertibleElseSplit?| (((|Union| (|Boolean|) (|List| $)) |#4| $) "\\spad{invertibleElseSplit?(p,ts)} returns \\spad{true} (resp. \\spad{false}) if \\spad{p} is invertible in the tower associated with \\spad{ts} or returns a split of Kalkbrener of \\spad{ts}.")) (|purelyAlgebraicLeadingMonomial?| (((|Boolean|) |#4| $) "\\spad{purelyAlgebraicLeadingMonomial?(p,ts)} returns \\spad{true} iff the main variable of any non-constant iterarted initial of \\spad{p} is algebraic \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts}.")) (|algebraicCoefficients?| (((|Boolean|) |#4| $) "\\spad{algebraicCoefficients?(p,ts)} returns \\spad{true} iff every variable of \\spad{p} which is not the main one of \\spad{p} is algebraic \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts}.")) (|purelyTranscendental?| (((|Boolean|) |#4| $) "\\spad{purelyTranscendental?(p,ts)} returns \\spad{true} iff every variable of \\spad{p} is not algebraic \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts}")) (|purelyAlgebraic?| (((|Boolean|) $) "\\spad{purelyAlgebraic?(ts)} returns \\spad{true} iff for every algebraic variable \\spad{v} of \\spad{ts} we have \\spad{algebraicCoefficients?(t_v,ts_v_-)} where \\spad{ts_v} is \\axiomOpFrom{select}{TriangularSetCategory}(\\spad{ts},{}\\spad{v}) and \\spad{ts_v_-} is \\axiomOpFrom{collectUnder}{TriangularSetCategory}(\\spad{ts},{}\\spad{v}).") (((|Boolean|) |#4| $) "\\spad{purelyAlgebraic?(p,ts)} returns \\spad{true} iff every variable of \\spad{p} is algebraic \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts}."))) 
-((-4465 . T) (-4464 . T)) 
+((-4466 . T) (-4465 . T)) 
 NIL 
 (-1093 R E V P TS) 
 ((|constructor| (NIL "An internal package for computing gcds and resultants of univariate polynomials with coefficients in a tower of simple extensions of a field.\\newline References : \\indented{1}{[1] \\spad{M}. MORENO MAZA and \\spad{R}. RIOBOO \"Computations of \\spad{gcd} over} \\indented{5}{algebraic towers of simple extensions\" In proceedings of AAECC11} \\indented{5}{Paris,{} 1995.} \\indented{1}{[2] \\spad{M}. MORENO MAZA \"Calculs de pgcd au-dessus des tours} \\indented{5}{d'extensions simples et resolution des systemes d'equations} \\indented{5}{algebriques\" These,{} Universite \\spad{P}.etM. Curie,{} Paris,{} 1997.} \\indented{1}{[3] \\spad{M}. MORENO MAZA \"A new algorithm for computing triangular} \\indented{5}{decomposition of algebraic varieties\" NAG Tech. Rep. 4/98.}")) (|toseSquareFreePart| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) |#4| |#5|) "\\axiom{toseSquareFreePart(\\spad{p},{}\\spad{ts})} has the same specifications as \\axiomOpFrom{squareFreePart}{RegularTriangularSetCategory}.")) (|toseInvertibleSet| (((|List| |#5|) |#4| |#5|) "\\axiom{toseInvertibleSet(\\spad{p1},{}\\spad{p2},{}\\spad{ts})} has the same specifications as \\axiomOpFrom{invertibleSet}{RegularTriangularSetCategory}.")) (|toseInvertible?| (((|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| |#5|))) |#4| |#5|) "\\axiom{toseInvertible?(\\spad{p1},{}\\spad{p2},{}\\spad{ts})} has the same specifications as \\axiomOpFrom{invertible?}{RegularTriangularSetCategory}.") (((|Boolean|) |#4| |#5|) "\\axiom{toseInvertible?(\\spad{p1},{}\\spad{p2},{}\\spad{ts})} has the same specifications as \\axiomOpFrom{invertible?}{RegularTriangularSetCategory}.")) (|toseLastSubResultant| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) |#4| |#4| |#5|) "\\axiom{toseLastSubResultant(\\spad{p1},{}\\spad{p2},{}\\spad{ts})} has the same specifications as \\axiomOpFrom{lastSubResultant}{RegularTriangularSetCategory}.")) (|integralLastSubResultant| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) |#4| |#4| |#5|) "\\axiom{integralLastSubResultant(\\spad{p1},{}\\spad{p2},{}\\spad{ts})} is an internal subroutine,{} exported only for developement.")) (|internalLastSubResultant| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) (|List| (|Record| (|:| |val| (|List| |#4|)) (|:| |tower| |#5|))) |#3| (|Boolean|)) "\\axiom{internalLastSubResultant(lpwt,{}\\spad{v},{}flag)} is an internal subroutine,{} exported only for developement.") (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) |#4| |#4| |#5| (|Boolean|) (|Boolean|)) "\\axiom{internalLastSubResultant(\\spad{p1},{}\\spad{p2},{}\\spad{ts},{}inv?,{}break?)} is an internal subroutine,{} exported only for developement.")) (|prepareSubResAlgo| (((|List| (|Record| (|:| |val| (|List| |#4|)) (|:| |tower| |#5|))) |#4| |#4| |#5|) "\\axiom{prepareSubResAlgo(\\spad{p1},{}\\spad{p2},{}\\spad{ts})} is an internal subroutine,{} exported only for developement.")) (|stopTableInvSet!| (((|Void|)) "\\axiom{stopTableInvSet!()} is an internal subroutine,{} exported only for developement.")) (|startTableInvSet!| (((|Void|) (|String|) (|String|) (|String|)) "\\axiom{startTableInvSet!(\\spad{s1},{}\\spad{s2},{}\\spad{s3})} is an internal subroutine,{} exported only for developement.")) (|stopTableGcd!| (((|Void|)) "\\axiom{stopTableGcd!()} is an internal subroutine,{} exported only for developement.")) (|startTableGcd!| (((|Void|) (|String|) (|String|) (|String|)) "\\axiom{startTableGcd!(\\spad{s1},{}\\spad{s2},{}\\spad{s3})} is an internal subroutine,{} exported only for developement."))) 
@@ -4316,11 +4316,11 @@ NIL
 ((|constructor| (NIL "This domain implements named rules")) (|name| (((|Symbol|) $) "\\spad{name(x)} returns the symbol"))) 
 NIL 
 NIL 
-(-1097 |Base| R -1959) 
+(-1097 |Base| R -1962) 
 ((|constructor| (NIL "\\indented{1}{Rules for the pattern matcher} Author: Manuel Bronstein Date Created: 24 Oct 1988 Date Last Updated: 26 October 1993 Keywords: pattern,{} matching,{} rule.")) (|quotedOperators| (((|List| (|Symbol|)) $) "\\spad{quotedOperators(r)} returns the list of operators on the right hand side of \\spad{r} that are considered quoted,{} that is they are not evaluated during any rewrite,{} but just applied formally to their arguments.")) (|elt| ((|#3| $ |#3| (|PositiveInteger|)) "\\spad{elt(r,f,n)} or \\spad{r}(\\spad{f},{} \\spad{n}) applies the rule \\spad{r} to \\spad{f} at most \\spad{n} times.")) (|rhs| ((|#3| $) "\\spad{rhs(r)} returns the right hand side of the rule \\spad{r}.")) (|lhs| ((|#3| $) "\\spad{lhs(r)} returns the left hand side of the rule \\spad{r}.")) (|pattern| (((|Pattern| |#1|) $) "\\spad{pattern(r)} returns the pattern corresponding to the left hand side of the rule \\spad{r}.")) (|suchThat| (($ $ (|List| (|Symbol|)) (|Mapping| (|Boolean|) (|List| |#3|))) "\\spad{suchThat(r, [a1,...,an], f)} returns the rewrite rule \\spad{r} with the predicate \\spad{f(a1,...,an)} attached to it.")) (|rule| (($ |#3| |#3| (|List| (|Symbol|))) "\\spad{rule(f, g, [f1,...,fn])} creates the rewrite rule \\spad{f == eval(eval(g, g is f), [f1,...,fn])},{} that is a rule with left-hand side \\spad{f} and right-hand side \\spad{g}; The symbols \\spad{f1},{}...,{}\\spad{fn} are the operators that are considered quoted,{} that is they are not evaluated during any rewrite,{} but just applied formally to their arguments.") (($ |#3| |#3|) "\\spad{rule(f, g)} creates the rewrite rule: \\spad{f == eval(g, g is f)},{} with left-hand side \\spad{f} and right-hand side \\spad{g}."))) 
 NIL 
 NIL 
-(-1098 |Base| R -1959) 
+(-1098 |Base| R -1962) 
 ((|constructor| (NIL "A ruleset is a set of pattern matching rules grouped together.")) (|elt| ((|#3| $ |#3| (|PositiveInteger|)) "\\spad{elt(r,f,n)} or \\spad{r}(\\spad{f},{} \\spad{n}) applies all the rules of \\spad{r} to \\spad{f} at most \\spad{n} times.")) (|rules| (((|List| (|RewriteRule| |#1| |#2| |#3|)) $) "\\spad{rules(r)} returns the rules contained in \\spad{r}.")) (|ruleset| (($ (|List| (|RewriteRule| |#1| |#2| |#3|))) "\\spad{ruleset([r1,...,rn])} creates the rule set \\spad{{r1,...,rn}}."))) 
 NIL 
 NIL 
@@ -4334,8 +4334,8 @@ NIL
 NIL 
 (-1101 R UP M) 
 ((|constructor| (NIL "Domain which represents simple algebraic extensions of arbitrary rings. The first argument to the domain,{} \\spad{R},{} is the underlying ring,{} the second argument is a domain of univariate polynomials over \\spad{K},{} while the last argument specifies the defining minimal polynomial. The elements of the domain are canonically represented as polynomials of degree less than that of the minimal polynomial with coefficients in \\spad{R}. The second argument is both the type of the third argument and the underlying representation used by \\spadtype{SAE} itself."))) 
-((-4457 |has| |#1| (-374)) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-360))) (-2758 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-2758 (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))))) 
+((-4458 |has| |#1| (-374)) (-4463 |has| |#1| (-374)) (-4457 |has| |#1| (-374)) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-360))) (-2760 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-2760 (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))))) 
 (-1102 UP SAE UPA) 
 ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in an algebraic extension of \\spadtype{Fraction Polynomial Integer}.")) (|factor| (((|Factored| |#3|) |#3|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p}."))) 
 NIL 
@@ -4362,8 +4362,8 @@ NIL
 NIL 
 (-1108 R) 
 ((|constructor| (NIL "\\spadtype{SequentialDifferentialPolynomial} implements an ordinary differential polynomial ring in arbitrary number of differential indeterminates,{} with coefficients in a ring. The ranking on the differential indeterminate is sequential. \\blankline"))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) 
-((|HasCategory| |#1| (QUOTE (-928))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2758 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2758 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1109 (-1197)) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-1109 (-1197)) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-1109 (-1197)) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-1109 (-1197)) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-1109 (-1197)) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2758 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4462)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4463 |has| |#1| (-6 -4463)) (-4460 . T) (-4459 . T) (-4462 . T)) 
+((|HasCategory| |#1| (QUOTE (-928))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2760 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2760 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1109 (-1197)) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-1109 (-1197)) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-1109 (-1197)) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-1109 (-1197)) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-1109 (-1197)) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2760 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4463)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) 
 (-1109 S) 
 ((|constructor| (NIL "\\spadtype{OrderlyDifferentialVariable} adds a commonly used sequential ranking to the set of derivatives of an ordered list of differential indeterminates. A sequential ranking is a ranking \\spadfun{<} of the derivatives with the property that for any derivative \\spad{v},{} there are only a finite number of derivatives \\spad{u} with \\spad{u} \\spadfun{<} \\spad{v}. This domain belongs to \\spadtype{DifferentialVariableCategory}. It defines \\spadfun{weight} to be just \\spadfun{order},{} and it defines a sequential ranking \\spadfun{<} on derivatives \\spad{u} by the lexicographic order on the pair (\\spadfun{variable}(\\spad{u}),{} \\spadfun{order}(\\spad{u}))."))) 
 NIL 
@@ -4406,7 +4406,7 @@ NIL
 NIL 
 (-1119 S) 
 ((|constructor| (NIL "A set category lists a collection of set-theoretic operations useful for both finite sets and multisets. Note however that finite sets are distinct from multisets. Although the operations defined for set categories are common to both,{} the relationship between the two cannot be described by inclusion or inheritance.")) (|union| (($ |#1| $) "\\spad{union(x,u)} returns the set aggregate \\spad{u} with the element \\spad{x} added. If \\spad{u} already contains \\spad{x},{} \\axiom{union(\\spad{x},{}\\spad{u})} returns a copy of \\spad{u}.") (($ $ |#1|) "\\spad{union(u,x)} returns the set aggregate \\spad{u} with the element \\spad{x} added. If \\spad{u} already contains \\spad{x},{} \\axiom{union(\\spad{u},{}\\spad{x})} returns a copy of \\spad{u}.") (($ $ $) "\\spad{union(u,v)} returns the set aggregate of elements which are members of either set aggregate \\spad{u} or \\spad{v}.")) (|subset?| (((|Boolean|) $ $) "\\spad{subset?(u,v)} tests if \\spad{u} is a subset of \\spad{v}. Note: equivalent to \\axiom{reduce(and,{}{member?(\\spad{x},{}\\spad{v}) for \\spad{x} in \\spad{u}},{}\\spad{true},{}\\spad{false})}.")) (|symmetricDifference| (($ $ $) "\\spad{symmetricDifference(u,v)} returns the set aggregate of elements \\spad{x} which are members of set aggregate \\spad{u} or set aggregate \\spad{v} but not both. If \\spad{u} and \\spad{v} have no elements in common,{} \\axiom{symmetricDifference(\\spad{u},{}\\spad{v})} returns a copy of \\spad{u}. Note: \\axiom{symmetricDifference(\\spad{u},{}\\spad{v}) = union(difference(\\spad{u},{}\\spad{v}),{}difference(\\spad{v},{}\\spad{u}))}")) (|difference| (($ $ |#1|) "\\spad{difference(u,x)} returns the set aggregate \\spad{u} with element \\spad{x} removed. If \\spad{u} does not contain \\spad{x},{} a copy of \\spad{u} is returned. Note: \\axiom{difference(\\spad{s},{} \\spad{x}) = difference(\\spad{s},{} {\\spad{x}})}.") (($ $ $) "\\spad{difference(u,v)} returns the set aggregate \\spad{w} consisting of elements in set aggregate \\spad{u} but not in set aggregate \\spad{v}. If \\spad{u} and \\spad{v} have no elements in common,{} \\axiom{difference(\\spad{u},{}\\spad{v})} returns a copy of \\spad{u}. Note: equivalent to the notation (not currently supported) \\axiom{{\\spad{x} for \\spad{x} in \\spad{u} | not member?(\\spad{x},{}\\spad{v})}}.")) (|intersect| (($ $ $) "\\spad{intersect(u,v)} returns the set aggregate \\spad{w} consisting of elements common to both set aggregates \\spad{u} and \\spad{v}. Note: equivalent to the notation (not currently supported) {\\spad{x} for \\spad{x} in \\spad{u} | member?(\\spad{x},{}\\spad{v})}.")) (|set| (($ (|List| |#1|)) "\\spad{set([x,y,...,z])} creates a set aggregate containing items \\spad{x},{}\\spad{y},{}...,{}\\spad{z}.") (($) "\\spad{set()}\\$\\spad{D} creates an empty set aggregate of type \\spad{D}.")) (|brace| (($ (|List| |#1|)) "\\spad{brace([x,y,...,z])} creates a set aggregate containing items \\spad{x},{}\\spad{y},{}...,{}\\spad{z}. This form is considered obsolete. Use \\axiomFun{set} instead.") (($) "\\spad{brace()}\\$\\spad{D} (otherwise written {}\\$\\spad{D}) creates an empty set aggregate of type \\spad{D}. This form is considered obsolete. Use \\axiomFun{set} instead.")) (|part?| (((|Boolean|) $ $) "\\spad{s} < \\spad{t} returns \\spad{true} if all elements of set aggregate \\spad{s} are also elements of set aggregate \\spad{t}."))) 
-((-4454 . T)) 
+((-4455 . T)) 
 NIL 
 (-1120 S) 
 ((|constructor| (NIL "\\spadtype{SetCategory} is the basic category for describing a collection of elements with \\spadop{=} (equality) and \\spadfun{coerce} to output form. \\blankline Conditional Attributes: \\indented{3}{canonical\\tab{15}data structure equality is the same as \\spadop{=}}")) (|latex| (((|String|) $) "\\spad{latex(s)} returns a LaTeX-printable output representation of \\spad{s}.")) (|hash| (((|SingleInteger|) $) "\\spad{hash(s)} calculates a hash code for \\spad{s}."))) 
@@ -4422,8 +4422,8 @@ NIL
 NIL 
 (-1123 S) 
 ((|constructor| (NIL "A set over a domain \\spad{D} models the usual mathematical notion of a finite set of elements from \\spad{D}. Sets are unordered collections of distinct elements (that is,{} order and duplication does not matter). The notation \\spad{set [a,b,c]} can be used to create a set and the usual operations such as union and intersection are available to form new sets. In our implementation,{} \\Language{} maintains the entries in sorted order. Specifically,{} the parts function returns the entries as a list in ascending order and the extract operation returns the maximum entry. Given two sets \\spad{s} and \\spad{t} where \\spad{\\#s = m} and \\spad{\\#t = n},{} the complexity of \\indented{2}{\\spad{s = t} is \\spad{O(min(n,m))}} \\indented{2}{\\spad{s < t} is \\spad{O(max(n,m))}} \\indented{2}{\\spad{union(s,t)},{} \\spad{intersect(s,t)},{} \\spad{minus(s,t)},{} \\spad{symmetricDifference(s,t)} is \\spad{O(max(n,m))}} \\indented{2}{\\spad{member(x,t)} is \\spad{O(n log n)}} \\indented{2}{\\spad{insert(x,t)} and \\spad{remove(x,t)} is \\spad{O(n)}}"))) 
-((-4464 . T) (-4454 . T) (-4465 . T)) 
-((-2758 (-12 (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-4465 . T) (-4455 . T) (-4466 . T)) 
+((-2760 (-12 (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
 (-1124 |Str| |Sym| |Int| |Flt| |Expr|) 
 ((|constructor| (NIL "This category allows the manipulation of Lisp values while keeping the grunge fairly localized.")) (|#| (((|Integer|) $) "\\spad{\\#((a1,...,an))} returns \\spad{n}.")) (|cdr| (($ $) "\\spad{cdr((a1,...,an))} returns \\spad{(a2,...,an)}.")) (|car| (($ $) "\\spad{car((a1,...,an))} returns a1.")) (|expr| ((|#5| $) "\\spad{expr(s)} returns \\spad{s} as an element of Expr; Error: if \\spad{s} is not an atom that also belongs to Expr.")) (|float| ((|#4| $) "\\spad{float(s)} returns \\spad{s} as an element of \\spad{Flt}; Error: if \\spad{s} is not an atom that also belongs to \\spad{Flt}.")) (|integer| ((|#3| $) "\\spad{integer(s)} returns \\spad{s} as an element of Int. Error: if \\spad{s} is not an atom that also belongs to Int.")) (|symbol| ((|#2| $) "\\spad{symbol(s)} returns \\spad{s} as an element of \\spad{Sym}. Error: if \\spad{s} is not an atom that also belongs to \\spad{Sym}.")) (|string| ((|#1| $) "\\spad{string(s)} returns \\spad{s} as an element of \\spad{Str}. Error: if \\spad{s} is not an atom that also belongs to \\spad{Str}.")) (|destruct| (((|List| $) $) "\\spad{destruct((a1,...,an))} returns the list [a1,{}...,{}an].")) (|float?| (((|Boolean|) $) "\\spad{float?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Flt}.")) (|integer?| (((|Boolean|) $) "\\spad{integer?(s)} is \\spad{true} if \\spad{s} is an atom and belong to Int.")) (|symbol?| (((|Boolean|) $) "\\spad{symbol?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Sym}.")) (|string?| (((|Boolean|) $) "\\spad{string?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Str}.")) (|list?| (((|Boolean|) $) "\\spad{list?(s)} is \\spad{true} if \\spad{s} is a Lisp list,{} possibly ().")) (|pair?| (((|Boolean|) $) "\\spad{pair?(s)} is \\spad{true} if \\spad{s} has is a non-null Lisp list.")) (|atom?| (((|Boolean|) $) "\\spad{atom?(s)} is \\spad{true} if \\spad{s} is a Lisp atom.")) (|null?| (((|Boolean|) $) "\\spad{null?(s)} is \\spad{true} if \\spad{s} is the \\spad{S}-expression ().")) (|eq| (((|Boolean|) $ $) "\\spad{eq(s, t)} is \\spad{true} if \\%peq(\\spad{s},{}\\spad{t}) is \\spad{true} for pointers."))) 
 NIL 
@@ -4450,7 +4450,7 @@ NIL
 NIL 
 (-1130 R E V P) 
 ((|constructor| (NIL "The category of square-free regular triangular sets. A regular triangular set \\spad{ts} is square-free if the \\spad{gcd} of any polynomial \\spad{p} in \\spad{ts} and \\spad{differentiate(p,mvar(p))} \\spad{w}.\\spad{r}.\\spad{t}. \\axiomOpFrom{collectUnder}{TriangularSetCategory}(\\spad{ts},{}\\axiomOpFrom{mvar}{RecursivePolynomialCategory}(\\spad{p})) has degree zero \\spad{w}.\\spad{r}.\\spad{t}. \\spad{mvar(p)}. Thus any square-free regular set defines a tower of square-free simple extensions.\\newline References : \\indented{1}{[1] \\spad{D}. LAZARD \"A new method for solving algebraic systems of} \\indented{5}{positive dimension\" Discr. App. Math. 33:147-160,{}1991} \\indented{1}{[2] \\spad{M}. KALKBRENER \"Algorithmic properties of polynomial rings\"} \\indented{5}{Habilitation Thesis,{} ETZH,{} Zurich,{} 1995.} \\indented{1}{[3] \\spad{M}. MORENO MAZA \"A new algorithm for computing triangular} \\indented{5}{decomposition of algebraic varieties\" NAG Tech. Rep. 4/98.}"))) 
-((-4465 . T) (-4464 . T)) 
+((-4466 . T) (-4465 . T)) 
 NIL 
 (-1131) 
 ((|constructor| (NIL "SymmetricGroupCombinatoricFunctions contains combinatoric functions concerning symmetric groups and representation theory: list young tableaus,{} improper partitions,{} subsets bijection of Coleman.")) (|unrankImproperPartitions1| (((|List| (|Integer|)) (|Integer|) (|Integer|) (|Integer|)) "\\spad{unrankImproperPartitions1(n,m,k)} computes the {\\em k}\\spad{-}th improper partition of nonnegative \\spad{n} in at most \\spad{m} nonnegative parts ordered as follows: first,{} in reverse lexicographically according to their non-zero parts,{} then according to their positions (\\spadignore{i.e.} lexicographical order using {\\em subSet}: {\\em [3,0,0] < [0,3,0] < [0,0,3] < [2,1,0] < [2,0,1] < [0,2,1] < [1,2,0] < [1,0,2] < [0,1,2] < [1,1,1]}). Note: counting of subtrees is done by {\\em numberOfImproperPartitionsInternal}.")) (|unrankImproperPartitions0| (((|List| (|Integer|)) (|Integer|) (|Integer|) (|Integer|)) "\\spad{unrankImproperPartitions0(n,m,k)} computes the {\\em k}\\spad{-}th improper partition of nonnegative \\spad{n} in \\spad{m} nonnegative parts in reverse lexicographical order. Example: {\\em [0,0,3] < [0,1,2] < [0,2,1] < [0,3,0] < [1,0,2] < [1,1,1] < [1,2,0] < [2,0,1] < [2,1,0] < [3,0,0]}. Error: if \\spad{k} is negative or too big. Note: counting of subtrees is done by \\spadfunFrom{numberOfImproperPartitions}{SymmetricGroupCombinatoricFunctions}.")) (|subSet| (((|List| (|Integer|)) (|Integer|) (|Integer|) (|Integer|)) "\\spad{subSet(n,m,k)} calculates the {\\em k}\\spad{-}th {\\em m}-subset of the set {\\em 0,1,...,(n-1)} in the lexicographic order considered as a decreasing map from {\\em 0,...,(m-1)} into {\\em 0,...,(n-1)}. See \\spad{S}.\\spad{G}. Williamson: Theorem 1.60. Error: if not {\\em (0 <= m <= n and 0 < = k < (n choose m))}.")) (|numberOfImproperPartitions| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{numberOfImproperPartitions(n,m)} computes the number of partitions of the nonnegative integer \\spad{n} in \\spad{m} nonnegative parts with regarding the order (improper partitions). Example: {\\em numberOfImproperPartitions (3,3)} is 10,{} since {\\em [0,0,3], [0,1,2], [0,2,1], [0,3,0], [1,0,2], [1,1,1], [1,2,0], [2,0,1], [2,1,0], [3,0,0]} are the possibilities. Note: this operation has a recursive implementation.")) (|nextPartition| (((|Vector| (|Integer|)) (|List| (|Integer|)) (|Vector| (|Integer|)) (|Integer|)) "\\spad{nextPartition(gamma,part,number)} generates the partition of {\\em number} which follows {\\em part} according to the right-to-left lexicographical order. The partition has the property that its components do not exceed the corresponding components of {\\em gamma}. the first partition is achieved by {\\em part=[]}. Also,{} {\\em []} indicates that {\\em part} is the last partition.") (((|Vector| (|Integer|)) (|Vector| (|Integer|)) (|Vector| (|Integer|)) (|Integer|)) "\\spad{nextPartition(gamma,part,number)} generates the partition of {\\em number} which follows {\\em part} according to the right-to-left lexicographical order. The partition has the property that its components do not exceed the corresponding components of {\\em gamma}. The first partition is achieved by {\\em part=[]}. Also,{} {\\em []} indicates that {\\em part} is the last partition.")) (|nextLatticePermutation| (((|List| (|Integer|)) (|List| (|PositiveInteger|)) (|List| (|Integer|)) (|Boolean|)) "\\spad{nextLatticePermutation(lambda,lattP,constructNotFirst)} generates the lattice permutation according to the proper partition {\\em lambda} succeeding the lattice permutation {\\em lattP} in lexicographical order as long as {\\em constructNotFirst} is \\spad{true}. If {\\em constructNotFirst} is \\spad{false},{} the first lattice permutation is returned. The result {\\em nil} indicates that {\\em lattP} has no successor.")) (|nextColeman| (((|Matrix| (|Integer|)) (|List| (|Integer|)) (|List| (|Integer|)) (|Matrix| (|Integer|))) "\\spad{nextColeman(alpha,beta,C)} generates the next Coleman matrix of column sums {\\em alpha} and row sums {\\em beta} according to the lexicographical order from bottom-to-top. The first Coleman matrix is achieved by {\\em C=new(1,1,0)}. Also,{} {\\em new(1,1,0)} indicates that \\spad{C} is the last Coleman matrix.")) (|makeYoungTableau| (((|Matrix| (|Integer|)) (|List| (|PositiveInteger|)) (|List| (|Integer|))) "\\spad{makeYoungTableau(lambda,gitter)} computes for a given lattice permutation {\\em gitter} and for an improper partition {\\em lambda} the corresponding standard tableau of shape {\\em lambda}. Notes: see {\\em listYoungTableaus}. The entries are from {\\em 0,...,n-1}.")) (|listYoungTableaus| (((|List| (|Matrix| (|Integer|))) (|List| (|PositiveInteger|))) "\\spad{listYoungTableaus(lambda)} where {\\em lambda} is a proper partition generates the list of all standard tableaus of shape {\\em lambda} by means of lattice permutations. The numbers of the lattice permutation are interpreted as column labels. Hence the contents of these lattice permutations are the conjugate of {\\em lambda}. Notes: the functions {\\em nextLatticePermutation} and {\\em makeYoungTableau} are used. The entries are from {\\em 0,...,n-1}.")) (|inverseColeman| (((|List| (|Integer|)) (|List| (|Integer|)) (|List| (|Integer|)) (|Matrix| (|Integer|))) "\\spad{inverseColeman(alpha,beta,C)}: there is a bijection from the set of matrices having nonnegative entries and row sums {\\em alpha},{} column sums {\\em beta} to the set of {\\em Salpha - Sbeta} double cosets of the symmetric group {\\em Sn}. ({\\em Salpha} is the Young subgroup corresponding to the improper partition {\\em alpha}). For such a matrix \\spad{C},{} inverseColeman(\\spad{alpha},{}\\spad{beta},{}\\spad{C}) calculates the lexicographical smallest {\\em pi} in the corresponding double coset. Note: the resulting permutation {\\em pi} of {\\em {1,2,...,n}} is given in list form. Notes: the inverse of this map is {\\em coleman}. For details,{} see James/Kerber.")) (|coleman| (((|Matrix| (|Integer|)) (|List| (|Integer|)) (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{coleman(alpha,beta,pi)}: there is a bijection from the set of matrices having nonnegative entries and row sums {\\em alpha},{} column sums {\\em beta} to the set of {\\em Salpha - Sbeta} double cosets of the symmetric group {\\em Sn}. ({\\em Salpha} is the Young subgroup corresponding to the improper partition {\\em alpha}). For a representing element {\\em pi} of such a double coset,{} coleman(\\spad{alpha},{}\\spad{beta},{}\\spad{pi}) generates the Coleman-matrix corresponding to {\\em alpha, beta, pi}. Note: The permutation {\\em pi} of {\\em {1,2,...,n}} has to be given in list form. Note: the inverse of this map is {\\em inverseColeman} (if {\\em pi} is the lexicographical smallest permutation in the coset). For details see James/Kerber."))) 
@@ -4466,8 +4466,8 @@ NIL
 NIL 
 (-1134 |dimtot| |dim1| S) 
 ((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying ordered component type. The vectors are ordered as if they were split into two blocks. The dim1 parameter specifies the length of the first block. The ordering is lexicographic between the blocks but acts like \\spadtype{HomogeneousDirectProduct} within each block. This type is a suitable third argument for \\spadtype{GeneralDistributedMultivariatePolynomial}."))) 
-((-4458 |has| |#3| (-1070)) (-4459 |has| |#3| (-1070)) (-4461 |has| |#3| (-6 -4461)) (-4464 . T)) 
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(QUOTE (-374)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#3| (QUOTE (-379)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#3| (QUOTE (-738)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#3| (QUOTE (-805)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#3| (QUOTE (-861)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#3| (QUOTE (-1070)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#3| (QUOTE (-1121))))) (-2760 (-12 (|HasCategory| |#3| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-21))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-23))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-238))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-374))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-379))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-738))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-805))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-861))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#3| (QUOTE (-1070))) (-12 (|HasCategory| |#3| (QUOTE (-1121))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576)))))) (-2760 (-12 (|HasCategory| |#3| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-21))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-23))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-238))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-374))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-379))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-738))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-805))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-861))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-1070))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-1121))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576)))))) (|HasCategory| (-576) (QUOTE (-861))) (-12 (|HasCategory| |#3| (QUOTE (-1070))) (|HasCategory| |#3| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-237))) (|HasCategory| |#3| (QUOTE (-1070)))) (-12 (|HasCategory| |#3| (QUOTE (-1070))) (|HasCategory| |#3| (LIST (QUOTE -919) (QUOTE (-1197))))) (-2760 (|HasCategory| |#3| (QUOTE (-1070))) (-12 (|HasCategory| |#3| (QUOTE (-1121))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576)))))) (-12 (|HasCategory| |#3| (QUOTE (-1121))) (|HasCategory| |#3| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#3| (QUOTE (-1121)))) (|HasAttribute| |#3| (QUOTE -4462)) (-12 (|HasCategory| |#3| (QUOTE (-238))) (|HasCategory| |#3| (QUOTE (-1070)))) (-12 (|HasCategory| |#3| (QUOTE (-1070))) (|HasCategory| |#3| (LIST (QUOTE -917) (QUOTE (-1197))))) (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-23))) (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#3| (QUOTE (-102))) (-12 (|HasCategory| |#3| (QUOTE (-1121))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|))))) 
 (-1135 R |x|) 
 ((|constructor| (NIL "This package produces functions for counting etc. real roots of univariate polynomials in \\spad{x} over \\spad{R},{} which must be an OrderedIntegralDomain")) (|countRealRootsMultiple| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{countRealRootsMultiple(p)} says how many real roots \\spad{p} has,{} counted with multiplicity")) (|SturmHabichtMultiple| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtMultiple(p1,p2)} computes \\spad{c_}{+}\\spad{-c_}{-} where \\spad{c_}{+} is the number of real roots of \\spad{p1} with p2>0 and \\spad{c_}{-} is the number of real roots of \\spad{p1} with p2<0. If p2=1 what you get is the number of real roots of \\spad{p1}.")) (|countRealRoots| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{countRealRoots(p)} says how many real roots \\spad{p} has")) (|SturmHabicht| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabicht(p1,p2)} computes \\spad{c_}{+}\\spad{-c_}{-} where \\spad{c_}{+} is the number of real roots of \\spad{p1} with p2>0 and \\spad{c_}{-} is the number of real roots of \\spad{p1} with p2<0. If p2=1 what you get is the number of real roots of \\spad{p1}.")) (|SturmHabichtCoefficients| (((|List| |#1|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtCoefficients(p1,p2)} computes the principal Sturm-Habicht coefficients of \\spad{p1} and \\spad{p2}")) (|SturmHabichtSequence| (((|List| (|UnivariatePolynomial| |#2| |#1|)) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtSequence(p1,p2)} computes the Sturm-Habicht sequence of \\spad{p1} and \\spad{p2}")) (|subresultantSequence| (((|List| (|UnivariatePolynomial| |#2| |#1|)) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{subresultantSequence(p1,p2)} computes the (standard) subresultant sequence of \\spad{p1} and \\spad{p2}"))) 
 NIL 
@@ -4476,7 +4476,7 @@ NIL
 ((|constructor| (NIL "This domain represents a signature AST. A signature AST \\indented{2}{is a description of an exported operation,{} \\spadignore{e.g.} its name,{} result} \\indented{2}{type,{} and the list of its argument types.}")) (|signature| (((|Signature|) $) "\\spad{signature(s)} returns AST of the declared signature for \\spad{`s'}.")) (|name| (((|Identifier|) $) "\\spad{name(s)} returns the name of the signature \\spad{`s'}.")) (|signatureAst| (($ (|Identifier|) (|Signature|)) "\\spad{signatureAst(n,s,t)} builds the signature AST \\spad{n:} \\spad{s} \\spad{->} \\spad{t}"))) 
 NIL 
 NIL 
-(-1137 R -1959) 
+(-1137 R -1962) 
 ((|constructor| (NIL "This package provides functions to determine the sign of an elementary function around a point or infinity.")) (|sign| (((|Union| (|Integer|) "failed") |#2| (|Symbol|) |#2| (|String|)) "\\spad{sign(f, x, a, s)} returns the sign of \\spad{f} as \\spad{x} nears \\spad{a} from below if \\spad{s} is \"left\",{} or above if \\spad{s} is \"right\".") (((|Union| (|Integer|) "failed") |#2| (|Symbol|) (|OrderedCompletion| |#2|)) "\\spad{sign(f, x, a)} returns the sign of \\spad{f} as \\spad{x} nears \\spad{a},{} from both sides if \\spad{a} is finite.") (((|Union| (|Integer|) "failed") |#2|) "\\spad{sign(f)} returns the sign of \\spad{f} if it is constant everywhere."))) 
 NIL 
 NIL 
@@ -4494,19 +4494,19 @@ NIL
 NIL 
 (-1141) 
 ((|constructor| (NIL "SingleInteger is intended to support machine integer arithmetic.")) (|Or| (($ $ $) "\\spad{Or(n,m)} returns the bit-by-bit logical {\\em or} of the single integers \\spad{n} and \\spad{m}.")) (|And| (($ $ $) "\\spad{And(n,m)} returns the bit-by-bit logical {\\em and} of the single integers \\spad{n} and \\spad{m}.")) (|Not| (($ $) "\\spad{Not(n)} returns the bit-by-bit logical {\\em not} of the single integer \\spad{n}.")) (|xor| (($ $ $) "\\spad{xor(n,m)} returns the bit-by-bit logical {\\em xor} of the single integers \\spad{n} and \\spad{m}.")) (|noetherian| ((|attribute|) "\\spad{noetherian} all ideals are finitely generated (in fact principal).")) (|canonicalsClosed| ((|attribute|) "\\spad{canonicalClosed} means two positives multiply to give positive.")) (|canonical| ((|attribute|) "\\spad{canonical} means that mathematical equality is implied by data structure equality."))) 
-((-4452 . T) (-4456 . T) (-4451 . T) (-4462 . T) (-4463 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4453 . T) (-4457 . T) (-4452 . T) (-4463 . T) (-4464 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-1142 S) 
 ((|constructor| (NIL "A stack is a bag where the last item inserted is the first item extracted.")) (|depth| (((|NonNegativeInteger|) $) "\\spad{depth(s)} returns the number of elements of stack \\spad{s}. Note: \\axiom{depth(\\spad{s}) = \\spad{#s}}.")) (|top| ((|#1| $) "\\spad{top(s)} returns the top element \\spad{x} from \\spad{s}; \\spad{s} remains unchanged. Note: Use \\axiom{pop!(\\spad{s})} to obtain \\spad{x} and remove it from \\spad{s}.")) (|pop!| ((|#1| $) "\\spad{pop!(s)} returns the top element \\spad{x},{} destructively removing \\spad{x} from \\spad{s}. Note: Use \\axiom{top(\\spad{s})} to obtain \\spad{x} without removing it from \\spad{s}. Error: if \\spad{s} is empty.")) (|push!| ((|#1| |#1| $) "\\spad{push!(x,s)} pushes \\spad{x} onto stack \\spad{s},{} \\spadignore{i.e.} destructively changing \\spad{s} so as to have a new first (top) element \\spad{x}. Afterwards,{} pop!(\\spad{s}) produces \\spad{x} and pop!(\\spad{s}) produces the original \\spad{s}."))) 
-((-4464 . T) (-4465 . T)) 
+((-4465 . T) (-4466 . T)) 
 NIL 
 (-1143 S |ndim| R |Row| |Col|) 
 ((|constructor| (NIL "\\spadtype{SquareMatrixCategory} is a general square matrix category which allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and colums returned as objects of type Col.")) (** (($ $ (|Integer|)) "\\spad{m**n} computes an integral power of the matrix \\spad{m}. Error: if the matrix is not invertible.")) (|inverse| (((|Union| $ "failed") $) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m},{} if that matrix is invertible and returns \"failed\" otherwise.")) (|minordet| ((|#3| $) "\\spad{minordet(m)} computes the determinant of the matrix \\spad{m} using minors.")) (|determinant| ((|#3| $) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}.")) (* ((|#4| |#4| $) "\\spad{r * x} is the product of the row vector \\spad{r} and the matrix \\spad{x}. Error: if the dimensions are incompatible.") ((|#5| $ |#5|) "\\spad{x * c} is the product of the matrix \\spad{x} and the column vector \\spad{c}. Error: if the dimensions are incompatible.")) (|diagonalProduct| ((|#3| $) "\\spad{diagonalProduct(m)} returns the product of the elements on the diagonal of the matrix \\spad{m}.")) (|trace| ((|#3| $) "\\spad{trace(m)} returns the trace of the matrix \\spad{m}. this is the sum of the elements on the diagonal of the matrix \\spad{m}.")) (|diagonal| ((|#4| $) "\\spad{diagonal(m)} returns a row consisting of the elements on the diagonal of the matrix \\spad{m}.")) (|diagonalMatrix| (($ (|List| |#3|)) "\\spad{diagonalMatrix(l)} returns a diagonal matrix with the elements of \\spad{l} on the diagonal.")) (|scalarMatrix| (($ |#3|) "\\spad{scalarMatrix(r)} returns an \\spad{n}-by-\\spad{n} matrix with \\spad{r}\\spad{'s} on the diagonal and zeroes elsewhere."))) 
 NIL 
-((|HasCategory| |#3| (QUOTE (-374))) (|HasAttribute| |#3| (QUOTE (-4466 "*"))) (|HasCategory| |#3| (QUOTE (-174)))) 
+((|HasCategory| |#3| (QUOTE (-374))) (|HasAttribute| |#3| (QUOTE (-4467 "*"))) (|HasCategory| |#3| (QUOTE (-174)))) 
 (-1144 |ndim| R |Row| |Col|) 
 ((|constructor| (NIL "\\spadtype{SquareMatrixCategory} is a general square matrix category which allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and colums returned as objects of type Col.")) (** (($ $ (|Integer|)) "\\spad{m**n} computes an integral power of the matrix \\spad{m}. Error: if the matrix is not invertible.")) (|inverse| (((|Union| $ "failed") $) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m},{} if that matrix is invertible and returns \"failed\" otherwise.")) (|minordet| ((|#2| $) "\\spad{minordet(m)} computes the determinant of the matrix \\spad{m} using minors.")) (|determinant| ((|#2| $) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}.")) (* ((|#3| |#3| $) "\\spad{r * x} is the product of the row vector \\spad{r} and the matrix \\spad{x}. Error: if the dimensions are incompatible.") ((|#4| $ |#4|) "\\spad{x * c} is the product of the matrix \\spad{x} and the column vector \\spad{c}. Error: if the dimensions are incompatible.")) (|diagonalProduct| ((|#2| $) "\\spad{diagonalProduct(m)} returns the product of the elements on the diagonal of the matrix \\spad{m}.")) (|trace| ((|#2| $) "\\spad{trace(m)} returns the trace of the matrix \\spad{m}. this is the sum of the elements on the diagonal of the matrix \\spad{m}.")) (|diagonal| ((|#3| $) "\\spad{diagonal(m)} returns a row consisting of the elements on the diagonal of the matrix \\spad{m}.")) (|diagonalMatrix| (($ (|List| |#2|)) "\\spad{diagonalMatrix(l)} returns a diagonal matrix with the elements of \\spad{l} on the diagonal.")) (|scalarMatrix| (($ |#2|) "\\spad{scalarMatrix(r)} returns an \\spad{n}-by-\\spad{n} matrix with \\spad{r}\\spad{'s} on the diagonal and zeroes elsewhere."))) 
-((-4464 . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4465 . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-1145 R |Row| |Col| M) 
 ((|constructor| (NIL "\\spadtype{SmithNormalForm} is a package which provides some standard canonical forms for matrices.")) (|diophantineSystem| (((|Record| (|:| |particular| (|Union| |#3| "failed")) (|:| |basis| (|List| |#3|))) |#4| |#3|) "\\spad{diophantineSystem(A,B)} returns a particular integer solution and an integer basis of the equation \\spad{AX = B}.")) (|completeSmith| (((|Record| (|:| |Smith| |#4|) (|:| |leftEqMat| |#4|) (|:| |rightEqMat| |#4|)) |#4|) "\\spad{completeSmith} returns a record that contains the Smith normal form \\spad{H} of the matrix and the left and right equivalence matrices \\spad{U} and \\spad{V} such that U*m*v = \\spad{H}")) (|smith| ((|#4| |#4|) "\\spad{smith(m)} returns the Smith Normal form of the matrix \\spad{m}.")) (|completeHermite| (((|Record| (|:| |Hermite| |#4|) (|:| |eqMat| |#4|)) |#4|) "\\spad{completeHermite} returns a record that contains the Hermite normal form \\spad{H} of the matrix and the equivalence matrix \\spad{U} such that U*m = \\spad{H}")) (|hermite| ((|#4| |#4|) "\\spad{hermite(m)} returns the Hermite normal form of the matrix \\spad{m}."))) 
@@ -4514,17 +4514,17 @@ NIL
 NIL 
 (-1146 R |VarSet|) 
 ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials. It is parameterized by the coefficient ring and the variable set which may be infinite. The variable ordering is determined by the variable set parameter. The coefficient ring may be non-commutative,{} but the variables are assumed to commute."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) 
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+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4463 |has| |#1| (-6 -4463)) (-4460 . T) (-4459 . T) (-4462 . T)) 
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 (-1147 |Coef| |Var| SMP) 
 ((|constructor| (NIL "This domain provides multivariate Taylor series with variables from an arbitrary ordered set. A Taylor series is represented by a stream of polynomials from the polynomial domain \\spad{SMP}. The \\spad{n}th element of the stream is a form of degree \\spad{n}. SMTS is an internal domain.")) (|fintegrate| (($ (|Mapping| $) |#2| |#1|) "\\spad{fintegrate(f,v,c)} is the integral of \\spad{f()} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.} \\indented{1}{The evaluation of \\spad{f()} is delayed.}")) (|integrate| (($ $ |#2| |#1|) "\\spad{integrate(s,v,c)} is the integral of \\spad{s} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.}")) (|csubst| (((|Mapping| (|Stream| |#3|) |#3|) (|List| |#2|) (|List| (|Stream| |#3|))) "\\spad{csubst(a,b)} is for internal use only")) (* (($ |#3| $) "\\spad{smp*ts} multiplies a TaylorSeries by a monomial \\spad{SMP}.")) (|coerce| (($ |#3|) "\\spad{coerce(poly)} regroups the terms by total degree and forms a series.") (($ |#2|) "\\spad{coerce(var)} converts a variable to a Taylor series")) (|coefficient| ((|#3| $ (|NonNegativeInteger|)) "\\spad{coefficient(s, n)} gives the terms of total degree \\spad{n}."))) 
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-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374)))) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4460 . T) (-4459 . T) (-4462 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374)))) 
 (-1148 R E V P) 
 ((|constructor| (NIL "The category of square-free and normalized triangular sets. Thus,{} up to the primitivity axiom of [1],{} these sets are Lazard triangular sets.\\newline References : \\indented{1}{[1] \\spad{D}. LAZARD \"A new method for solving algebraic systems of} \\indented{5}{positive dimension\" Discr. App. Math. 33:147-160,{}1991}"))) 
-((-4465 . T) (-4464 . T)) 
+((-4466 . T) (-4465 . T)) 
 NIL 
-(-1149 UP -1959) 
+(-1149 UP -1962) 
 ((|constructor| (NIL "This package factors the formulas out of the general solve code,{} allowing their recursive use over different domains. Care is taken to introduce few radicals so that radical extension domains can more easily simplify the results.")) (|aQuartic| ((|#2| |#2| |#2| |#2| |#2| |#2|) "\\spad{aQuartic(f,g,h,i,k)} \\undocumented")) (|aCubic| ((|#2| |#2| |#2| |#2| |#2|) "\\spad{aCubic(f,g,h,j)} \\undocumented")) (|aQuadratic| ((|#2| |#2| |#2| |#2|) "\\spad{aQuadratic(f,g,h)} \\undocumented")) (|aLinear| ((|#2| |#2| |#2|) "\\spad{aLinear(f,g)} \\undocumented")) (|quartic| (((|List| |#2|) |#2| |#2| |#2| |#2| |#2|) "\\spad{quartic(f,g,h,i,j)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{quartic(u)} \\undocumented")) (|cubic| (((|List| |#2|) |#2| |#2| |#2| |#2|) "\\spad{cubic(f,g,h,i)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{cubic(u)} \\undocumented")) (|quadratic| (((|List| |#2|) |#2| |#2| |#2|) "\\spad{quadratic(f,g,h)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{quadratic(u)} \\undocumented")) (|linear| (((|List| |#2|) |#2| |#2|) "\\spad{linear(f,g)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{linear(u)} \\undocumented")) (|mapSolve| (((|Record| (|:| |solns| (|List| |#2|)) (|:| |maps| (|List| (|Record| (|:| |arg| |#2|) (|:| |res| |#2|))))) |#1| (|Mapping| |#2| |#2|)) "\\spad{mapSolve(u,f)} \\undocumented")) (|particularSolution| ((|#2| |#1|) "\\spad{particularSolution(u)} \\undocumented")) (|solve| (((|List| |#2|) |#1|) "\\spad{solve(u)} \\undocumented"))) 
 NIL 
 NIL 
@@ -4578,19 +4578,19 @@ NIL
 NIL 
 (-1162 V C) 
 ((|constructor| (NIL "This domain exports a modest implementation of splitting trees. Spliiting trees are needed when the evaluation of some quantity under some hypothesis requires to split the hypothesis into sub-cases. For instance by adding some new hypothesis on one hand and its negation on another hand. The computations are terminated is a splitting tree \\axiom{a} when \\axiom{status(value(a))} is \\axiom{\\spad{true}}. Thus,{} if for the splitting tree \\axiom{a} the flag \\axiom{status(value(a))} is \\axiom{\\spad{true}},{} then \\axiom{status(value(\\spad{d}))} is \\axiom{\\spad{true}} for any subtree \\axiom{\\spad{d}} of \\axiom{a}. This property of splitting trees is called the termination condition. If no vertex in a splitting tree \\axiom{a} is equal to another,{} \\axiom{a} is said to satisfy the no-duplicates condition. The splitting tree \\axiom{a} will satisfy this condition if nodes are added to \\axiom{a} by mean of \\axiom{splitNodeOf!} and if \\axiom{construct} is only used to create the root of \\axiom{a} with no children.")) (|splitNodeOf!| (($ $ $ (|List| (|SplittingNode| |#1| |#2|)) (|Mapping| (|Boolean|) |#2| |#2|)) "\\axiom{splitNodeOf!(\\spad{l},{}a,{}\\spad{ls},{}sub?)} returns \\axiom{a} where the children list of \\axiom{\\spad{l}} has been set to \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in \\spad{ls} | not subNodeOf?(\\spad{s},{}a,{}sub?)]}. Thus,{} if \\axiom{\\spad{l}} is not a node of \\axiom{a},{} this latter splitting tree is unchanged.") (($ $ $ (|List| (|SplittingNode| |#1| |#2|))) "\\axiom{splitNodeOf!(\\spad{l},{}a,{}\\spad{ls})} returns \\axiom{a} where the children list of \\axiom{\\spad{l}} has been set to \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in \\spad{ls} | not nodeOf?(\\spad{s},{}a)]}. Thus,{} if \\axiom{\\spad{l}} is not a node of \\axiom{a},{} this latter splitting tree is unchanged.")) (|remove!| (($ (|SplittingNode| |#1| |#2|) $) "\\axiom{remove!(\\spad{s},{}a)} replaces a by remove(\\spad{s},{}a)")) (|remove| (($ (|SplittingNode| |#1| |#2|) $) "\\axiom{remove(\\spad{s},{}a)} returns the splitting tree obtained from a by removing every sub-tree \\axiom{\\spad{b}} such that \\axiom{value(\\spad{b})} and \\axiom{\\spad{s}} have the same value,{} condition and status.")) (|subNodeOf?| (((|Boolean|) (|SplittingNode| |#1| |#2|) $ (|Mapping| (|Boolean|) |#2| |#2|)) "\\axiom{subNodeOf?(\\spad{s},{}a,{}sub?)} returns \\spad{true} iff for some node \\axiom{\\spad{n}} in \\axiom{a} we have \\axiom{\\spad{s} = \\spad{n}} or \\axiom{status(\\spad{n})} and \\axiom{subNode?(\\spad{s},{}\\spad{n},{}sub?)}.")) (|nodeOf?| (((|Boolean|) (|SplittingNode| |#1| |#2|) $) "\\axiom{nodeOf?(\\spad{s},{}a)} returns \\spad{true} iff some node of \\axiom{a} is equal to \\axiom{\\spad{s}}")) (|result| (((|List| (|Record| (|:| |val| |#1|) (|:| |tower| |#2|))) $) "\\axiom{result(a)} where \\axiom{\\spad{ls}} is the leaves list of \\axiom{a} returns \\axiom{[[value(\\spad{s}),{}condition(\\spad{s})]\\$\\spad{VT} for \\spad{s} in \\spad{ls}]} if the computations are terminated in \\axiom{a} else an error is produced.")) (|conditions| (((|List| |#2|) $) "\\axiom{conditions(a)} returns the list of the conditions of the leaves of a")) (|construct| (($ |#1| |#2| |#1| (|List| |#2|)) "\\axiom{construct(\\spad{v1},{}\\spad{t},{}\\spad{v2},{}\\spad{lt})} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{[\\spad{v},{}\\spad{t}]\\$\\spad{S}} and with children list given by \\axiom{[[[\\spad{v},{}\\spad{t}]\\$\\spad{S}]\\$\\% for \\spad{s} in \\spad{ls}]}.") (($ |#1| |#2| (|List| (|SplittingNode| |#1| |#2|))) "\\axiom{construct(\\spad{v},{}\\spad{t},{}\\spad{ls})} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{[\\spad{v},{}\\spad{t}]\\$\\spad{S}} and with children list given by \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in \\spad{ls}]}.") (($ |#1| |#2| (|List| $)) "\\axiom{construct(\\spad{v},{}\\spad{t},{}la)} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{[\\spad{v},{}\\spad{t}]\\$\\spad{S}} and with \\axiom{la} as children list.") (($ (|SplittingNode| |#1| |#2|)) "\\axiom{construct(\\spad{s})} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{\\spad{s}} and no children. Thus,{} if the status of \\axiom{\\spad{s}} is \\spad{false},{} \\axiom{[\\spad{s}]} represents the starting point of the evaluation \\axiom{value(\\spad{s})} under the hypothesis \\axiom{condition(\\spad{s})}.")) (|updateStatus!| (($ $) "\\axiom{updateStatus!(a)} returns a where the status of the vertices are updated to satisfy the \"termination condition\".")) (|extractSplittingLeaf| (((|Union| $ "failed") $) "\\axiom{extractSplittingLeaf(a)} returns the left most leaf (as a tree) whose status is \\spad{false} if any,{} else \"failed\" is returned."))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| (-1161 |#1| |#2|) (LIST (QUOTE -319) (LIST (QUOTE -1161) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-1121)))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-1121))) (-2758 (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-102))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-1121)))) (-2758 (|HasCategory| (-1161 |#1| |#2|) (LIST (QUOTE -625) (QUOTE (-876)))) (-12 (|HasCategory| (-1161 |#1| |#2|) (LIST (QUOTE -319) (LIST (QUOTE -1161) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-1121))))) (|HasCategory| (-1161 |#1| |#2|) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-102)))) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| (-1161 |#1| |#2|) (LIST (QUOTE -319) (LIST (QUOTE -1161) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-1121)))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-1121))) (-2760 (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-102))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-1121)))) (-2760 (|HasCategory| (-1161 |#1| |#2|) (LIST (QUOTE -625) (QUOTE (-876)))) (-12 (|HasCategory| (-1161 |#1| |#2|) (LIST (QUOTE -319) (LIST (QUOTE -1161) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-1121))))) (|HasCategory| (-1161 |#1| |#2|) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-102)))) 
 (-1163 |ndim| R) 
 ((|constructor| (NIL "\\spadtype{SquareMatrix} is a matrix domain of square matrices,{} where the number of rows (= number of columns) is a parameter of the type.")) (|unitsKnown| ((|attribute|) "the invertible matrices are simply the matrices whose determinants are units in the Ring \\spad{R}.")) (|central| ((|attribute|) "the elements of the Ring \\spad{R},{} viewed as diagonal matrices,{} commute with all matrices and,{} indeed,{} are the only matrices which commute with all matrices.")) (|squareMatrix| (($ (|Matrix| |#2|)) "\\spad{squareMatrix(m)} converts a matrix of type \\spadtype{Matrix} to a matrix of type \\spadtype{SquareMatrix}.")) (|transpose| (($ $) "\\spad{transpose(m)} returns the transpose of the matrix \\spad{m}.")) (|new| (($ |#2|) "\\spad{new(c)} constructs a new \\spadtype{SquareMatrix} object of dimension \\spad{ndim} with initial entries equal to \\spad{c}."))) 
-((-4461 . T) (-4453 |has| |#2| (-6 (-4466 "*"))) (-4464 . T) (-4458 . T) (-4459 . T)) 
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+((-4462 . T) (-4454 |has| |#2| (-6 (-4467 "*"))) (-4465 . T) (-4459 . T) (-4460 . T)) 
+((|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (QUOTE (-237))) (|HasAttribute| |#2| (QUOTE (-4467 "*"))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2760 (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-374))) (-2760 (|HasAttribute| |#2| (QUOTE (-4467 "*"))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-238)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) 
 (-1164 S) 
 ((|constructor| (NIL "A string aggregate is a category for strings,{} that is,{} one dimensional arrays of characters.")) (|elt| (($ $ $) "\\spad{elt(s,t)} returns the concatenation of \\spad{s} and \\spad{t}. It is provided to allow juxtaposition of strings to work as concatenation. For example,{} \\axiom{\"smoo\" \"shed\"} returns \\axiom{\"smooshed\"}.")) (|rightTrim| (($ $ (|CharacterClass|)) "\\spad{rightTrim(s,cc)} returns \\spad{s} with all trailing occurences of characters in \\spad{cc} deleted. For example,{} \\axiom{rightTrim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"(abc\"}.") (($ $ (|Character|)) "\\spad{rightTrim(s,c)} returns \\spad{s} with all trailing occurrences of \\spad{c} deleted. For example,{} \\axiom{rightTrim(\" abc \",{} char \" \")} returns \\axiom{\" abc\"}.")) (|leftTrim| (($ $ (|CharacterClass|)) "\\spad{leftTrim(s,cc)} returns \\spad{s} with all leading characters in \\spad{cc} deleted. For example,{} \\axiom{leftTrim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"abc)\"}.") (($ $ (|Character|)) "\\spad{leftTrim(s,c)} returns \\spad{s} with all leading characters \\spad{c} deleted. For example,{} \\axiom{leftTrim(\" abc \",{} char \" \")} returns \\axiom{\"abc \"}.")) (|trim| (($ $ (|CharacterClass|)) "\\spad{trim(s,cc)} returns \\spad{s} with all characters in \\spad{cc} deleted from right and left ends. For example,{} \\axiom{trim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"abc\"}.") (($ $ (|Character|)) "\\spad{trim(s,c)} returns \\spad{s} with all characters \\spad{c} deleted from right and left ends. For example,{} \\axiom{trim(\" abc \",{} char \" \")} returns \\axiom{\"abc\"}.")) (|split| (((|List| $) $ (|CharacterClass|)) "\\spad{split(s,cc)} returns a list of substrings delimited by characters in \\spad{cc}.") (((|List| $) $ (|Character|)) "\\spad{split(s,c)} returns a list of substrings delimited by character \\spad{c}.")) (|coerce| (($ (|Character|)) "\\spad{coerce(c)} returns \\spad{c} as a string \\spad{s} with the character \\spad{c}.")) (|position| (((|Integer|) (|CharacterClass|) $ (|Integer|)) "\\spad{position(cc,t,i)} returns the position \\axiom{\\spad{j} \\spad{>=} \\spad{i}} in \\spad{t} of the first character belonging to \\spad{cc}.") (((|Integer|) $ $ (|Integer|)) "\\spad{position(s,t,i)} returns the position \\spad{j} of the substring \\spad{s} in string \\spad{t},{} where \\axiom{\\spad{j} \\spad{>=} \\spad{i}} is required.")) (|replace| (($ $ (|UniversalSegment| (|Integer|)) $) "\\spad{replace(s,i..j,t)} replaces the substring \\axiom{\\spad{s}(\\spad{i}..\\spad{j})} of \\spad{s} by string \\spad{t}.")) (|match?| (((|Boolean|) $ $ (|Character|)) "\\spad{match?(s,t,c)} tests if \\spad{s} matches \\spad{t} except perhaps for multiple and consecutive occurrences of character \\spad{c}. Typically \\spad{c} is the blank character.")) (|match| (((|NonNegativeInteger|) $ $ (|Character|)) "\\spad{match(p,s,wc)} tests if pattern \\axiom{\\spad{p}} matches subject \\axiom{\\spad{s}} where \\axiom{\\spad{wc}} is a wild card character. If no match occurs,{} the index \\axiom{0} is returned; otheriwse,{} the value returned is the first index of the first character in the subject matching the subject (excluding that matched by an initial wild-card). For example,{} \\axiom{match(\"*to*\",{}\"yorktown\",{}\\spad{\"*\"})} returns \\axiom{5} indicating a successful match starting at index \\axiom{5} of \\axiom{\"yorktown\"}.")) (|substring?| (((|Boolean|) $ $ (|Integer|)) "\\spad{substring?(s,t,i)} tests if \\spad{s} is a substring of \\spad{t} beginning at index \\spad{i}. Note: \\axiom{substring?(\\spad{s},{}\\spad{t},{}0) = prefix?(\\spad{s},{}\\spad{t})}.")) (|suffix?| (((|Boolean|) $ $) "\\spad{suffix?(s,t)} tests if the string \\spad{s} is the final substring of \\spad{t}. Note: \\axiom{suffix?(\\spad{s},{}\\spad{t}) \\spad{==} reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.(\\spad{n} - \\spad{m} + \\spad{i}) for \\spad{i} in 0..maxIndex \\spad{s}])} where \\spad{m} and \\spad{n} denote the maxIndex of \\spad{s} and \\spad{t} respectively.")) (|prefix?| (((|Boolean|) $ $) "\\spad{prefix?(s,t)} tests if the string \\spad{s} is the initial substring of \\spad{t}. Note: \\axiom{prefix?(\\spad{s},{}\\spad{t}) \\spad{==} reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.\\spad{i} for \\spad{i} in 0..maxIndex \\spad{s}])}.")) (|upperCase!| (($ $) "\\spad{upperCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by upper case characters.")) (|upperCase| (($ $) "\\spad{upperCase(s)} returns the string with all characters in upper case.")) (|lowerCase!| (($ $) "\\spad{lowerCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by lower case.")) (|lowerCase| (($ $) "\\spad{lowerCase(s)} returns the string with all characters in lower case."))) 
 NIL 
 NIL 
 (-1165) 
 ((|constructor| (NIL "A string aggregate is a category for strings,{} that is,{} one dimensional arrays of characters.")) (|elt| (($ $ $) "\\spad{elt(s,t)} returns the concatenation of \\spad{s} and \\spad{t}. It is provided to allow juxtaposition of strings to work as concatenation. For example,{} \\axiom{\"smoo\" \"shed\"} returns \\axiom{\"smooshed\"}.")) (|rightTrim| (($ $ (|CharacterClass|)) "\\spad{rightTrim(s,cc)} returns \\spad{s} with all trailing occurences of characters in \\spad{cc} deleted. For example,{} \\axiom{rightTrim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"(abc\"}.") (($ $ (|Character|)) "\\spad{rightTrim(s,c)} returns \\spad{s} with all trailing occurrences of \\spad{c} deleted. For example,{} \\axiom{rightTrim(\" abc \",{} char \" \")} returns \\axiom{\" abc\"}.")) (|leftTrim| (($ $ (|CharacterClass|)) "\\spad{leftTrim(s,cc)} returns \\spad{s} with all leading characters in \\spad{cc} deleted. For example,{} \\axiom{leftTrim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"abc)\"}.") (($ $ (|Character|)) "\\spad{leftTrim(s,c)} returns \\spad{s} with all leading characters \\spad{c} deleted. For example,{} \\axiom{leftTrim(\" abc \",{} char \" \")} returns \\axiom{\"abc \"}.")) (|trim| (($ $ (|CharacterClass|)) "\\spad{trim(s,cc)} returns \\spad{s} with all characters in \\spad{cc} deleted from right and left ends. For example,{} \\axiom{trim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"abc\"}.") (($ $ (|Character|)) "\\spad{trim(s,c)} returns \\spad{s} with all characters \\spad{c} deleted from right and left ends. For example,{} \\axiom{trim(\" abc \",{} char \" \")} returns \\axiom{\"abc\"}.")) (|split| (((|List| $) $ (|CharacterClass|)) "\\spad{split(s,cc)} returns a list of substrings delimited by characters in \\spad{cc}.") (((|List| $) $ (|Character|)) "\\spad{split(s,c)} returns a list of substrings delimited by character \\spad{c}.")) (|coerce| (($ (|Character|)) "\\spad{coerce(c)} returns \\spad{c} as a string \\spad{s} with the character \\spad{c}.")) (|position| (((|Integer|) (|CharacterClass|) $ (|Integer|)) "\\spad{position(cc,t,i)} returns the position \\axiom{\\spad{j} \\spad{>=} \\spad{i}} in \\spad{t} of the first character belonging to \\spad{cc}.") (((|Integer|) $ $ (|Integer|)) "\\spad{position(s,t,i)} returns the position \\spad{j} of the substring \\spad{s} in string \\spad{t},{} where \\axiom{\\spad{j} \\spad{>=} \\spad{i}} is required.")) (|replace| (($ $ (|UniversalSegment| (|Integer|)) $) "\\spad{replace(s,i..j,t)} replaces the substring \\axiom{\\spad{s}(\\spad{i}..\\spad{j})} of \\spad{s} by string \\spad{t}.")) (|match?| (((|Boolean|) $ $ (|Character|)) "\\spad{match?(s,t,c)} tests if \\spad{s} matches \\spad{t} except perhaps for multiple and consecutive occurrences of character \\spad{c}. Typically \\spad{c} is the blank character.")) (|match| (((|NonNegativeInteger|) $ $ (|Character|)) "\\spad{match(p,s,wc)} tests if pattern \\axiom{\\spad{p}} matches subject \\axiom{\\spad{s}} where \\axiom{\\spad{wc}} is a wild card character. If no match occurs,{} the index \\axiom{0} is returned; otheriwse,{} the value returned is the first index of the first character in the subject matching the subject (excluding that matched by an initial wild-card). For example,{} \\axiom{match(\"*to*\",{}\"yorktown\",{}\\spad{\"*\"})} returns \\axiom{5} indicating a successful match starting at index \\axiom{5} of \\axiom{\"yorktown\"}.")) (|substring?| (((|Boolean|) $ $ (|Integer|)) "\\spad{substring?(s,t,i)} tests if \\spad{s} is a substring of \\spad{t} beginning at index \\spad{i}. Note: \\axiom{substring?(\\spad{s},{}\\spad{t},{}0) = prefix?(\\spad{s},{}\\spad{t})}.")) (|suffix?| (((|Boolean|) $ $) "\\spad{suffix?(s,t)} tests if the string \\spad{s} is the final substring of \\spad{t}. Note: \\axiom{suffix?(\\spad{s},{}\\spad{t}) \\spad{==} reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.(\\spad{n} - \\spad{m} + \\spad{i}) for \\spad{i} in 0..maxIndex \\spad{s}])} where \\spad{m} and \\spad{n} denote the maxIndex of \\spad{s} and \\spad{t} respectively.")) (|prefix?| (((|Boolean|) $ $) "\\spad{prefix?(s,t)} tests if the string \\spad{s} is the initial substring of \\spad{t}. Note: \\axiom{prefix?(\\spad{s},{}\\spad{t}) \\spad{==} reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.\\spad{i} for \\spad{i} in 0..maxIndex \\spad{s}])}.")) (|upperCase!| (($ $) "\\spad{upperCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by upper case characters.")) (|upperCase| (($ $) "\\spad{upperCase(s)} returns the string with all characters in upper case.")) (|lowerCase!| (($ $) "\\spad{lowerCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by lower case.")) (|lowerCase| (($ $) "\\spad{lowerCase(s)} returns the string with all characters in lower case."))) 
-((-4465 . T) (-4464 . T)) 
+((-4466 . T) (-4465 . T)) 
 NIL 
 (-1166 R E V P TS) 
 ((|constructor| (NIL "A package providing a new algorithm for solving polynomial systems by means of regular chains. Two ways of solving are provided: in the sense of Zariski closure (like in Kalkbrener\\spad{'s} algorithm) or in the sense of the regular zeros (like in Wu,{} Wang or Lazard- Moreno methods). This algorithm is valid for nay type of regular set. It does not care about the way a polynomial is added in an regular set,{} or how two quasi-components are compared (by an inclusion-test),{} or how the invertibility test is made in the tower of simple extensions associated with a regular set. These operations are realized respectively by the domain \\spad{TS} and the packages \\spad{QCMPPK(R,E,V,P,TS)} and \\spad{RSETGCD(R,E,V,P,TS)}. The same way it does not care about the way univariate polynomial gcds (with coefficients in the tower of simple extensions associated with a regular set) are computed. The only requirement is that these gcds need to have invertible initials (normalized or not). WARNING. There is no need for a user to call diectly any operation of this package since they can be accessed by the domain \\axiomType{\\spad{TS}}. Thus,{} the operations of this package are not documented.\\newline References : \\indented{1}{[1] \\spad{M}. MORENO MAZA \"A new algorithm for computing triangular} \\indented{5}{decomposition of algebraic varieties\" NAG Tech. Rep. 4/98.}"))) 
@@ -4598,12 +4598,12 @@ NIL
 NIL 
 (-1167 R E V P) 
 ((|constructor| (NIL "This domain provides an implementation of square-free regular chains. Moreover,{} the operation \\axiomOpFrom{zeroSetSplit}{SquareFreeRegularTriangularSetCategory} is an implementation of a new algorithm for solving polynomial systems by means of regular chains.\\newline References : \\indented{1}{[1] \\spad{M}. MORENO MAZA \"A new algorithm for computing triangular} \\indented{5}{decomposition of algebraic varieties\" NAG Tech. Rep. 4/98.} \\indented{2}{Version: 2}")) (|preprocess| (((|Record| (|:| |val| (|List| |#4|)) (|:| |towers| (|List| $))) (|List| |#4|) (|Boolean|) (|Boolean|)) "\\axiom{pre_process(\\spad{lp},{}\\spad{b1},{}\\spad{b2})} is an internal subroutine,{} exported only for developement.")) (|internalZeroSetSplit| (((|List| $) (|List| |#4|) (|Boolean|) (|Boolean|) (|Boolean|)) "\\axiom{internalZeroSetSplit(\\spad{lp},{}\\spad{b1},{}\\spad{b2},{}\\spad{b3})} is an internal subroutine,{} exported only for developement.")) (|zeroSetSplit| (((|List| $) (|List| |#4|) (|Boolean|) (|Boolean|) (|Boolean|) (|Boolean|)) "\\axiom{zeroSetSplit(\\spad{lp},{}\\spad{b1},{}\\spad{b2}.\\spad{b3},{}\\spad{b4})} is an internal subroutine,{} exported only for developement.") (((|List| $) (|List| |#4|) (|Boolean|) (|Boolean|)) "\\axiom{zeroSetSplit(\\spad{lp},{}clos?,{}info?)} has the same specifications as \\axiomOpFrom{zeroSetSplit}{RegularTriangularSetCategory} from \\spadtype{RegularTriangularSetCategory} Moreover,{} if \\axiom{clos?} then solves in the sense of the Zariski closure else solves in the sense of the regular zeros. If \\axiom{info?} then do print messages during the computations.")) (|internalAugment| (((|List| $) |#4| $ (|Boolean|) (|Boolean|) (|Boolean|) (|Boolean|) (|Boolean|)) "\\axiom{internalAugment(\\spad{p},{}\\spad{ts},{}\\spad{b1},{}\\spad{b2},{}\\spad{b3},{}\\spad{b4},{}\\spad{b5})} is an internal subroutine,{} exported only for developement."))) 
-((-4465 . T) (-4464 . T)) 
+((-4466 . T) (-4465 . T)) 
 ((-12 (|HasCategory| |#4| (QUOTE (-1121))) (|HasCategory| |#4| (LIST (QUOTE -319) (|devaluate| |#4|)))) (|HasCategory| |#4| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#4| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#3| (QUOTE (-379))) (|HasCategory| |#4| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#4| (QUOTE (-102)))) 
 (-1168 S) 
 ((|constructor| (NIL "Linked List implementation of a Stack")) (|stack| (($ (|List| |#1|)) "\\spad{stack([x,y,...,z])} creates a stack with first (top) element \\spad{x},{} second element \\spad{y},{}...,{}and last element \\spad{z}."))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
 (-1169 A S) 
 ((|constructor| (NIL "A stream aggregate is a linear aggregate which possibly has an infinite number of elements. A basic domain constructor which builds stream aggregates is \\spadtype{Stream}. From streams,{} a number of infinite structures such power series can be built. A stream aggregate may also be infinite since it may be cyclic. For example,{} see \\spadtype{DecimalExpansion}.")) (|possiblyInfinite?| (((|Boolean|) $) "\\spad{possiblyInfinite?(s)} tests if the stream \\spad{s} could possibly have an infinite number of elements. Note: for many datatypes,{} \\axiom{possiblyInfinite?(\\spad{s}) = not explictlyFinite?(\\spad{s})}.")) (|explicitlyFinite?| (((|Boolean|) $) "\\spad{explicitlyFinite?(s)} tests if the stream has a finite number of elements,{} and \\spad{false} otherwise. Note: for many datatypes,{} \\axiom{explicitlyFinite?(\\spad{s}) = not possiblyInfinite?(\\spad{s})}."))) 
 NIL 
@@ -4614,8 +4614,8 @@ NIL
 NIL 
 (-1171 |Key| |Ent| |dent|) 
 ((|constructor| (NIL "A sparse table has a default entry,{} which is returned if no other value has been explicitly stored for a key."))) 
-((-4465 . T)) 
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+((-4466 . T)) 
+((-12 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4301) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4440) (|devaluate| |#2|)))))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-861))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121)))) 
 (-1172) 
 ((|constructor| (NIL "This domain represents an arithmetic progression iterator syntax.")) (|step| (((|SpadAst|) $) "\\spad{step(i)} returns the Spad AST denoting the step of the arithmetic progression represented by the iterator \\spad{i}.")) (|upperBound| (((|Maybe| (|SpadAst|)) $) "If the set of values assumed by the iteration variable is bounded from above,{} \\spad{upperBound(i)} returns the upper bound. Otherwise,{} its returns \\spad{nothing}.")) (|lowerBound| (((|SpadAst|) $) "\\spad{lowerBound(i)} returns the lower bound on the values assumed by the iteration variable.")) (|iterationVar| (((|Identifier|) $) "\\spad{iterationVar(i)} returns the name of the iterating variable of the arithmetic progression iterator \\spad{i}."))) 
 NIL 
@@ -4642,16 +4642,16 @@ NIL
 NIL 
 (-1178 S) 
 ((|constructor| (NIL "A stream is an implementation of an infinite sequence using a list of terms that have been computed and a function closure to compute additional terms when needed.")) (|filterUntil| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{filterUntil(p,s)} returns \\spad{[x0,x1,...,x(n)]} where \\spad{s = [x0,x1,x2,..]} and \\spad{n} is the smallest index such that \\spad{p(xn) = true}.")) (|filterWhile| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{filterWhile(p,s)} returns \\spad{[x0,x1,...,x(n-1)]} where \\spad{s = [x0,x1,x2,..]} and \\spad{n} is the smallest index such that \\spad{p(xn) = false}.")) (|generate| (($ (|Mapping| |#1| |#1|) |#1|) "\\spad{generate(f,x)} creates an infinite stream whose first element is \\spad{x} and whose \\spad{n}th element (\\spad{n > 1}) is \\spad{f} applied to the previous element. Note: \\spad{generate(f,x) = [x,f(x),f(f(x)),...]}.") (($ (|Mapping| |#1|)) "\\spad{generate(f)} creates an infinite stream all of whose elements are equal to \\spad{f()}. Note: \\spad{generate(f) = [f(),f(),f(),...]}.")) (|setrest!| (($ $ (|Integer|) $) "\\spad{setrest!(x,n,y)} sets rest(\\spad{x},{}\\spad{n}) to \\spad{y}. The function will expand cycles if necessary.")) (|showAll?| (((|Boolean|)) "\\spad{showAll?()} returns \\spad{true} if all computed entries of streams will be displayed.")) (|showAllElements| (((|OutputForm|) $) "\\spad{showAllElements(s)} creates an output form which displays all computed elements.")) (|output| (((|Void|) (|Integer|) $) "\\spad{output(n,st)} computes and displays the first \\spad{n} entries of \\spad{st}.")) (|cons| (($ |#1| $) "\\spad{cons(a,s)} returns a stream whose \\spad{first} is \\spad{a} and whose \\spad{rest} is \\spad{s}. Note: \\spad{cons(a,s) = concat(a,s)}.")) (|delay| (($ (|Mapping| $)) "\\spad{delay(f)} creates a stream with a lazy evaluation defined by function \\spad{f}. Caution: This function can only be called in compiled code.")) (|findCycle| (((|Record| (|:| |cycle?| (|Boolean|)) (|:| |prefix| (|NonNegativeInteger|)) (|:| |period| (|NonNegativeInteger|))) (|NonNegativeInteger|) $) "\\spad{findCycle(n,st)} determines if \\spad{st} is periodic within \\spad{n}.")) (|repeating?| (((|Boolean|) (|List| |#1|) $) "\\spad{repeating?(l,s)} returns \\spad{true} if a stream \\spad{s} is periodic with period \\spad{l},{} and \\spad{false} otherwise.")) (|repeating| (($ (|List| |#1|)) "\\spad{repeating(l)} is a repeating stream whose period is the list \\spad{l}.")) (|shallowlyMutable| ((|attribute|) "one may destructively alter a stream by assigning new values to its entries."))) 
-((-4465 . T)) 
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+((-4466 . T)) 
+((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
 (-1179) 
 ((|string| (($ (|DoubleFloat|)) "\\spad{string f} returns the decimal representation of \\spad{f} in a string") (($ (|Integer|)) "\\spad{string i} returns the decimal representation of \\spad{i} in a string"))) 
-((-4465 . T) (-4464 . T)) 
-((-2758 (-12 (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (-2758 (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-876)))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (-2758 (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121)))) (|HasCategory| (-145) (QUOTE (-861))) (-2758 (|HasCategory| (-145) (QUOTE (-102))) (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) 
+((-4466 . T) (-4465 . T)) 
+((-2760 (-12 (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (-2760 (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-876)))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (-2760 (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121)))) (|HasCategory| (-145) (QUOTE (-861))) (-2760 (|HasCategory| (-145) (QUOTE (-102))) (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) 
 (-1180 |Entry|) 
 ((|constructor| (NIL "This domain provides tables where the keys are strings. A specialized hash function for strings is used."))) 
-((-4464 . T) (-4465 . T)) 
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+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4301) (QUOTE (-1179))) (LIST (QUOTE |:|) (QUOTE -4440) (|devaluate| |#1|)))))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (QUOTE (-1121))) (|HasCategory| (-1179) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (-2760 (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-102)))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (QUOTE (-102)))) 
 (-1181 A) 
 ((|constructor| (NIL "StreamTaylorSeriesOperations implements Taylor series arithmetic,{} where a Taylor series is represented by a stream of its coefficients.")) (|power| (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{power(a,f)} returns the power series \\spad{f} raised to the power \\spad{a}.")) (|lazyGintegrate| (((|Stream| |#1|) (|Mapping| |#1| (|Integer|)) |#1| (|Mapping| (|Stream| |#1|))) "\\spad{lazyGintegrate(f,r,g)} is used for fixed point computations.")) (|mapdiv| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{mapdiv([a0,a1,..],[b0,b1,..])} returns \\spad{[a0/b0,a1/b1,..]}.")) (|powern| (((|Stream| |#1|) (|Fraction| (|Integer|)) (|Stream| |#1|)) "\\spad{powern(r,f)} raises power series \\spad{f} to the power \\spad{r}.")) (|nlde| (((|Stream| |#1|) (|Stream| (|Stream| |#1|))) "\\spad{nlde(u)} solves a first order non-linear differential equation described by \\spad{u} of the form \\spad{[[b<0,0>,b<0,1>,...],[b<1,0>,b<1,1>,.],...]}. the differential equation has the form \\spad{y' = sum(i=0 to infinity,j=0 to infinity,b<i,j>*(x**i)*(y**j))}.")) (|lazyIntegrate| (((|Stream| |#1|) |#1| (|Mapping| (|Stream| |#1|))) "\\spad{lazyIntegrate(r,f)} is a local function used for fixed point computations.")) (|integrate| (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{integrate(r,a)} returns the integral of the power series \\spad{a} with respect to the power series variableintegration where \\spad{r} denotes the constant of integration. Thus \\spad{integrate(a,[a0,a1,a2,...]) = [a,a0,a1/2,a2/3,...]}.")) (|invmultisect| (((|Stream| |#1|) (|Integer|) (|Integer|) (|Stream| |#1|)) "\\spad{invmultisect(a,b,st)} substitutes \\spad{x**((a+b)*n)} for \\spad{x**n} and multiplies by \\spad{x**b}.")) (|multisect| (((|Stream| |#1|) (|Integer|) (|Integer|) (|Stream| |#1|)) "\\spad{multisect(a,b,st)} selects the coefficients of \\spad{x**((a+b)*n+a)},{} and changes them to \\spad{x**n}.")) (|generalLambert| (((|Stream| |#1|) (|Stream| |#1|) (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),a,d)} returns \\spad{f(x**a) + f(x**(a + d)) + f(x**(a + 2 d)) + ...}. \\spad{f(x)} should have zero constant coefficient and \\spad{a} and \\spad{d} should be positive.")) (|evenlambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{evenlambert(st)} computes \\spad{f(x**2) + f(x**4) + f(x**6) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f(x)} is a power series with constant coefficient 1,{} then \\spad{prod(f(x**(2*n)),n=1..infinity) = exp(evenlambert(log(f(x))))}.")) (|oddlambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{oddlambert(st)} computes \\spad{f(x) + f(x**3) + f(x**5) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f}(\\spad{x}) is a power series with constant coefficient 1 then \\spad{prod(f(x**(2*n-1)),n=1..infinity) = exp(oddlambert(log(f(x))))}.")) (|lambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{lambert(st)} computes \\spad{f(x) + f(x**2) + f(x**3) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f(x)} is a power series with constant coefficient 1 then \\spad{prod(f(x**n),n = 1..infinity) = exp(lambert(log(f(x))))}.")) (|addiag| (((|Stream| |#1|) (|Stream| (|Stream| |#1|))) "\\spad{addiag(x)} performs diagonal addition of a stream of streams. if \\spad{x} = \\spad{[[a<0,0>,a<0,1>,..],[a<1,0>,a<1,1>,..],[a<2,0>,a<2,1>,..],..]} and \\spad{addiag(x) = [b<0,b<1>,...], then b<k> = sum(i+j=k,a<i,j>)}.")) (|revert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{revert(a)} computes the inverse of a power series \\spad{a} with respect to composition. the series should have constant coefficient 0 and first order coefficient should be invertible.")) (|lagrange| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{lagrange(g)} produces the power series for \\spad{f} where \\spad{f} is implicitly defined as \\spad{f(z) = z*g(f(z))}.")) (|compose| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{compose(a,b)} composes the power series \\spad{a} with the power series \\spad{b}.")) (|eval| (((|Stream| |#1|) (|Stream| |#1|) |#1|) "\\spad{eval(a,r)} returns a stream of partial sums of the power series \\spad{a} evaluated at the power series variable equal to \\spad{r}.")) (|coerce| (((|Stream| |#1|) |#1|) "\\spad{coerce(r)} converts a ring element \\spad{r} to a stream with one element.")) (|gderiv| (((|Stream| |#1|) (|Mapping| |#1| (|Integer|)) (|Stream| |#1|)) "\\spad{gderiv(f,[a0,a1,a2,..])} returns \\spad{[f(0)*a0,f(1)*a1,f(2)*a2,..]}.")) (|deriv| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{deriv(a)} returns the derivative of the power series with respect to the power series variable. Thus \\spad{deriv([a0,a1,a2,...])} returns \\spad{[a1,2 a2,3 a3,...]}.")) (|mapmult| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{mapmult([a0,a1,..],[b0,b1,..])} returns \\spad{[a0*b0,a1*b1,..]}.")) (|int| (((|Stream| |#1|) |#1|) "\\spad{int(r)} returns [\\spad{r},{}\\spad{r+1},{}\\spad{r+2},{}...],{} where \\spad{r} is a ring element.")) (|oddintegers| (((|Stream| (|Integer|)) (|Integer|)) "\\spad{oddintegers(n)} returns \\spad{[n,n+2,n+4,...]}.")) (|integers| (((|Stream| (|Integer|)) (|Integer|)) "\\spad{integers(n)} returns \\spad{[n,n+1,n+2,...]}.")) (|monom| (((|Stream| |#1|) |#1| (|Integer|)) "\\spad{monom(deg,coef)} is a monomial of degree \\spad{deg} with coefficient \\spad{coef}.")) (|recip| (((|Union| (|Stream| |#1|) "failed") (|Stream| |#1|)) "\\spad{recip(a)} returns the power series reciprocal of \\spad{a},{} or \"failed\" if not possible.")) (/ (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a / b} returns the power series quotient of \\spad{a} by \\spad{b}. An error message is returned if \\spad{b} is not invertible. This function is used in fixed point computations.")) (|exquo| (((|Union| (|Stream| |#1|) "failed") (|Stream| |#1|) (|Stream| |#1|)) "\\spad{exquo(a,b)} returns the power series quotient of \\spad{a} by \\spad{b},{} if the quotient exists,{} and \"failed\" otherwise")) (* (((|Stream| |#1|) (|Stream| |#1|) |#1|) "\\spad{a * r} returns the power series scalar multiplication of \\spad{a} by \\spad{r:} \\spad{[a0,a1,...] * r = [a0 * r,a1 * r,...]}") (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{r * a} returns the power series scalar multiplication of \\spad{r} by \\spad{a}: \\spad{r * [a0,a1,...] = [r * a0,r * a1,...]}") (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a * b} returns the power series (Cauchy) product of \\spad{a} and \\spad{b:} \\spad{[a0,a1,...] * [b0,b1,...] = [c0,c1,...]} where \\spad{ck = sum(i + j = k,ai * bk)}.")) (- (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{- a} returns the power series negative of \\spad{a}: \\spad{- [a0,a1,...] = [- a0,- a1,...]}") (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a - b} returns the power series difference of \\spad{a} and \\spad{b}: \\spad{[a0,a1,..] - [b0,b1,..] = [a0 - b0,a1 - b1,..]}")) (+ (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a + b} returns the power series sum of \\spad{a} and \\spad{b}: \\spad{[a0,a1,..] + [b0,b1,..] = [a0 + b0,a1 + b1,..]}"))) 
 NIL 
@@ -4682,9 +4682,9 @@ NIL
 NIL 
 (-1188 |Coef| |var| |cen|) 
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+(-1189 R -1962) 
 ((|constructor| (NIL "computes sums of top-level expressions.")) (|sum| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{sum(f(n), n = a..b)} returns \\spad{f}(a) + \\spad{f}(a+1) + ... + \\spad{f}(\\spad{b}).") ((|#2| |#2| (|Symbol|)) "\\spad{sum(a(n), n)} returns A(\\spad{n}) such that A(\\spad{n+1}) - A(\\spad{n}) = a(\\spad{n})."))) 
 NIL 
 NIL 
@@ -4702,16 +4702,16 @@ NIL
 NIL 
 (-1193 R) 
 ((|constructor| (NIL "This domain represents univariate polynomials over arbitrary (not necessarily commutative) coefficient rings. The variable is unspecified so that the variable displays as \\spad{?} on output. If it is necessary to specify the variable name,{} use type \\spadtype{UnivariatePolynomial}. The representation is sparse in the sense that only non-zero terms are represented.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#1| $) "\\spad{fmecg(p1,e,r,p2)} finds \\spad{X} : \\spad{p1} - \\spad{r} * X**e * \\spad{p2}")) (|outputForm| (((|OutputForm|) $ (|OutputForm|)) "\\spad{outputForm(p,var)} converts the SparseUnivariatePolynomial \\spad{p} to an output form (see \\spadtype{OutputForm}) printed as a polynomial in the output form variable."))) 
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 (-1194 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Sparse Puiseux series in one variable \\indented{2}{\\spadtype{SparseUnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariatePuiseuxSeries(Integer,x,3)} represents Puiseux} \\indented{2}{series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers."))) 
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 (-1195 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Sparse Taylor series in one variable \\indented{2}{\\spadtype{SparseUnivariateTaylorSeries} is a domain representing Taylor} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spadtype{SparseUnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor} \\indented{2}{series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) 
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+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-783)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-783)) (|devaluate| |#1|)))) (|HasCategory| (-783) (QUOTE (-1133))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasSignature| |#1| (LIST (QUOTE -3570) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasCategory| |#1| (QUOTE (-374))) (-2760 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -1491) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1197))))) (|HasSignature| |#1| (LIST (QUOTE -1969) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#1|))))))) 
 (-1196) 
 ((|constructor| (NIL "This domain builds representations of boolean expressions for use with the \\axiomType{FortranCode} domain.")) (NOT (($ $) "\\spad{NOT(x)} returns the \\axiomType{Switch} expression representing \\spad{\\~~x}.") (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{NOT(x)} returns the \\axiomType{Switch} expression representing \\spad{\\~~x}.")) (AND (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{AND(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x and y}.")) (EQ (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{EQ(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x = y}.")) (OR (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{OR(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x or y}.")) (GE (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{GE(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x>=y}.")) (LE (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{LE(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x<=y}.")) (GT (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{GT(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x>y}.")) (LT (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{LT(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x<y}.")) (|coerce| (($ (|Symbol|)) "\\spad{coerce(s)} \\undocumented{}"))) 
 NIL 
@@ -4726,8 +4726,8 @@ NIL
 NIL 
 (-1199 R) 
 ((|constructor| (NIL "This domain implements symmetric polynomial"))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-6 -4462)) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2758 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| (-992) (QUOTE (-132))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasAttribute| |#1| (QUOTE -4462))) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4463 |has| |#1| (-6 -4463)) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2760 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| (-992) (QUOTE (-132))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasAttribute| |#1| (QUOTE -4463))) 
 (-1200) 
 ((|constructor| (NIL "Creates and manipulates one global symbol table for FORTRAN code generation,{} containing details of types,{} dimensions,{} and argument lists.")) (|symbolTableOf| (((|SymbolTable|) (|Symbol|) $) "\\spad{symbolTableOf(f,tab)} returns the symbol table of \\spad{f}")) (|argumentListOf| (((|List| (|Symbol|)) (|Symbol|) $) "\\spad{argumentListOf(f,tab)} returns the argument list of \\spad{f}")) (|returnTypeOf| (((|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void")) (|Symbol|) $) "\\spad{returnTypeOf(f,tab)} returns the type of the object returned by \\spad{f}")) (|empty| (($) "\\spad{empty()} creates a new,{} empty symbol table.")) (|printTypes| (((|Void|) (|Symbol|)) "\\spad{printTypes(tab)} produces FORTRAN type declarations from \\spad{tab},{} on the current FORTRAN output stream")) (|printHeader| (((|Void|)) "\\spad{printHeader()} produces the FORTRAN header for the current subprogram in the global symbol table on the current FORTRAN output stream.") (((|Void|) (|Symbol|)) "\\spad{printHeader(f)} produces the FORTRAN header for subprogram \\spad{f} in the global symbol table on the current FORTRAN output stream.") (((|Void|) (|Symbol|) $) "\\spad{printHeader(f,tab)} produces the FORTRAN header for subprogram \\spad{f} in symbol table \\spad{tab} on the current FORTRAN output stream.")) (|returnType!| (((|Void|) (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) "\\spad{returnType!(t)} declares that the return type of he current subprogram in the global symbol table is \\spad{t}.") (((|Void|) (|Symbol|) (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) "\\spad{returnType!(f,t)} declares that the return type of subprogram \\spad{f} in the global symbol table is \\spad{t}.") (((|Void|) (|Symbol|) (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void")) $) "\\spad{returnType!(f,t,tab)} declares that the return type of subprogram \\spad{f} in symbol table \\spad{tab} is \\spad{t}.")) (|argumentList!| (((|Void|) (|List| (|Symbol|))) "\\spad{argumentList!(l)} declares that the argument list for the current subprogram in the global symbol table is \\spad{l}.") (((|Void|) (|Symbol|) (|List| (|Symbol|))) "\\spad{argumentList!(f,l)} declares that the argument list for subprogram \\spad{f} in the global symbol table is \\spad{l}.") (((|Void|) (|Symbol|) (|List| (|Symbol|)) $) "\\spad{argumentList!(f,l,tab)} declares that the argument list for subprogram \\spad{f} in symbol table \\spad{tab} is \\spad{l}.")) (|endSubProgram| (((|Symbol|)) "\\spad{endSubProgram()} asserts that we are no longer processing the current subprogram.")) (|currentSubProgram| (((|Symbol|)) "\\spad{currentSubProgram()} returns the name of the current subprogram being processed")) (|newSubProgram| (((|Void|) (|Symbol|)) "\\spad{newSubProgram(f)} asserts that from now on type declarations are part of subprogram \\spad{f}.")) (|declare!| (((|FortranType|) (|Symbol|) (|FortranType|) (|Symbol|)) "\\spad{declare!(u,t,asp)} declares the parameter \\spad{u} to have type \\spad{t} in \\spad{asp}.") (((|FortranType|) (|Symbol|) (|FortranType|)) "\\spad{declare!(u,t)} declares the parameter \\spad{u} to have type \\spad{t} in the current level of the symbol table.") (((|FortranType|) (|List| (|Symbol|)) (|FortranType|) (|Symbol|) $) "\\spad{declare!(u,t,asp,tab)} declares the parameters \\spad{u} of subprogram \\spad{asp} to have type \\spad{t} in symbol table \\spad{tab}.") (((|FortranType|) (|Symbol|) (|FortranType|) (|Symbol|) $) "\\spad{declare!(u,t,asp,tab)} declares the parameter \\spad{u} of subprogram \\spad{asp} to have type \\spad{t} in symbol table \\spad{tab}.")) (|clearTheSymbolTable| (((|Void|) (|Symbol|)) "\\spad{clearTheSymbolTable(x)} removes the symbol \\spad{x} from the table") (((|Void|)) "\\spad{clearTheSymbolTable()} clears the current symbol table.")) (|showTheSymbolTable| (($) "\\spad{showTheSymbolTable()} returns the current symbol table."))) 
 NIL 
@@ -4770,8 +4770,8 @@ NIL
 NIL 
 (-1210 |Key| |Entry|) 
 ((|constructor| (NIL "This is the general purpose table type. The keys are hashed to look up the entries. This creates a \\spadtype{HashTable} if equal for the Key domain is consistent with Lisp EQUAL otherwise an \\spadtype{AssociationList}"))) 
-((-4464 . T) (-4465 . T)) 
-((-12 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4300) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4438) (|devaluate| |#2|)))))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-1121))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (-2758 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (QUOTE (-102)))) 
+((-4465 . T) (-4466 . T)) 
+((-12 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4301) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4440) (|devaluate| |#2|)))))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-1121))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (-2760 (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (QUOTE (-102)))) 
 (-1211 S) 
 ((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: April 17,{} 2010 Date Last Modified: April 17,{} 2010")) (|operator| (($ |#1| (|Arity|)) "\\spad{operator(n,a)} returns an operator named \\spad{n} and with arity \\spad{a}."))) 
 NIL 
@@ -4786,7 +4786,7 @@ NIL
 NIL 
 (-1214 |Key| |Entry|) 
 ((|constructor| (NIL "A table aggregate is a model of a table,{} \\spadignore{i.e.} a discrete many-to-one mapping from keys to entries.")) (|map| (($ (|Mapping| |#2| |#2| |#2|) $ $) "\\spad{map(fn,t1,t2)} creates a new table \\spad{t} from given tables \\spad{t1} and \\spad{t2} with elements \\spad{fn}(\\spad{x},{}\\spad{y}) where \\spad{x} and \\spad{y} are corresponding elements from \\spad{t1} and \\spad{t2} respectively.")) (|table| (($ (|List| (|Record| (|:| |key| |#1|) (|:| |entry| |#2|)))) "\\spad{table([x,y,...,z])} creates a table consisting of entries \\axiom{\\spad{x},{}\\spad{y},{}...,{}\\spad{z}}.") (($) "\\spad{table()}\\$\\spad{T} creates an empty table of type \\spad{T}.")) (|setelt| ((|#2| $ |#1| |#2|) "\\spad{setelt(t,k,e)} (also written \\axiom{\\spad{t}.\\spad{k} \\spad{:=} \\spad{e}}) is equivalent to \\axiom{(insert([\\spad{k},{}\\spad{e}],{}\\spad{t}); \\spad{e})}."))) 
-((-4465 . T)) 
+((-4466 . T)) 
 NIL 
 (-1215 |Key| |Entry|) 
 ((|constructor| (NIL "\\axiom{TabulatedComputationPackage(Key ,{}Entry)} provides some modest support for dealing with operations with type \\axiom{Key \\spad{->} Entry}. The result of such operations can be stored and retrieved with this package by using a hash-table. The user does not need to worry about the management of this hash-table. However,{} onnly one hash-table is built by calling \\axiom{TabulatedComputationPackage(Key ,{}Entry)}.")) (|insert!| (((|Void|) |#1| |#2|) "\\axiom{insert!(\\spad{x},{}\\spad{y})} stores the item whose key is \\axiom{\\spad{x}} and whose entry is \\axiom{\\spad{y}}.")) (|extractIfCan| (((|Union| |#2| "failed") |#1|) "\\axiom{extractIfCan(\\spad{x})} searches the item whose key is \\axiom{\\spad{x}}.")) (|makingStats?| (((|Boolean|)) "\\axiom{makingStats?()} returns \\spad{true} iff the statisitics process is running.")) (|printingInfo?| (((|Boolean|)) "\\axiom{printingInfo?()} returns \\spad{true} iff messages are printed when manipulating items from the hash-table.")) (|usingTable?| (((|Boolean|)) "\\axiom{usingTable?()} returns \\spad{true} iff the hash-table is used")) (|clearTable!| (((|Void|)) "\\axiom{clearTable!()} clears the hash-table and assumes that it will no longer be used.")) (|printStats!| (((|Void|)) "\\axiom{printStats!()} prints the statistics.")) (|startStats!| (((|Void|) (|String|)) "\\axiom{startStats!(\\spad{x})} initializes the statisitics process and sets the comments to display when statistics are printed")) (|printInfo!| (((|Void|) (|String|) (|String|)) "\\axiom{printInfo!(\\spad{x},{}\\spad{y})} initializes the mesages to be printed when manipulating items from the hash-table. If a key is retrieved then \\axiom{\\spad{x}} is displayed. If an item is stored then \\axiom{\\spad{y}} is displayed.")) (|initTable!| (((|Void|)) "\\axiom{initTable!()} initializes the hash-table."))) 
@@ -4826,8 +4826,8 @@ NIL
 NIL 
 (-1224 S) 
 ((|constructor| (NIL "\\spadtype{Tree(S)} is a basic domains of tree structures. Each tree is either empty or else is a {\\it node} consisting of a value and a list of (sub)trees.")) (|cyclicParents| (((|List| $) $) "\\spad{cyclicParents(t)} returns a list of cycles that are parents of \\spad{t}.")) (|cyclicEqual?| (((|Boolean|) $ $) "\\spad{cyclicEqual?(t1, t2)} tests of two cyclic trees have the same structure.")) (|cyclicEntries| (((|List| $) $) "\\spad{cyclicEntries(t)} returns a list of top-level cycles in tree \\spad{t}.")) (|cyclicCopy| (($ $) "\\spad{cyclicCopy(l)} makes a copy of a (possibly) cyclic tree \\spad{l}.")) (|cyclic?| (((|Boolean|) $) "\\spad{cyclic?(t)} tests if \\spad{t} is a cyclic tree.")) (|tree| (($ |#1|) "\\spad{tree(nd)} creates a tree with value \\spad{nd},{} and no children") (($ (|List| |#1|)) "\\spad{tree(ls)} creates a tree from a list of elements of \\spad{s}.") (($ |#1| (|List| $)) "\\spad{tree(nd,ls)} creates a tree with value \\spad{nd},{} and children \\spad{ls}."))) 
-((-4465 . T) (-4464 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
+((-4466 . T) (-4465 . T)) 
+((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) 
 (-1225 S) 
 ((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}."))) 
 NIL 
@@ -4836,7 +4836,7 @@ NIL
 ((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}."))) 
 NIL 
 NIL 
-(-1227 R -1959) 
+(-1227 R -1962) 
 ((|constructor| (NIL "\\spadtype{TrigonometricManipulations} provides transformations from trigonometric functions to complex exponentials and logarithms,{} and back.")) (|complexForm| (((|Complex| |#2|) |#2|) "\\spad{complexForm(f)} returns \\spad{[real f, imag f]}.")) (|real?| (((|Boolean|) |#2|) "\\spad{real?(f)} returns \\spad{true} if \\spad{f = real f}.")) (|imag| ((|#2| |#2|) "\\spad{imag(f)} returns the imaginary part of \\spad{f} where \\spad{f} is a complex function.")) (|real| ((|#2| |#2|) "\\spad{real(f)} returns the real part of \\spad{f} where \\spad{f} is a complex function.")) (|trigs| ((|#2| |#2|) "\\spad{trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (|complexElementary| ((|#2| |#2| (|Symbol|)) "\\spad{complexElementary(f, x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.") ((|#2| |#2|) "\\spad{complexElementary(f)} rewrites \\spad{f} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.")) (|complexNormalize| ((|#2| |#2| (|Symbol|)) "\\spad{complexNormalize(f, x)} rewrites \\spad{f} using the least possible number of complex independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{complexNormalize(f)} rewrites \\spad{f} using the least possible number of complex independent kernels."))) 
 NIL 
 NIL 
@@ -4844,7 +4844,7 @@ NIL
 ((|constructor| (NIL "This package provides functions that compute \"fraction-free\" inverses of upper and lower triangular matrices over a integral domain. By \"fraction-free inverses\" we mean the following: given a matrix \\spad{B} with entries in \\spad{R} and an element \\spad{d} of \\spad{R} such that \\spad{d} * inv(\\spad{B}) also has entries in \\spad{R},{} we return \\spad{d} * inv(\\spad{B}). Thus,{} it is not necessary to pass to the quotient field in any of our computations.")) (|LowTriBddDenomInv| ((|#4| |#4| |#1|) "\\spad{LowTriBddDenomInv(B,d)} returns \\spad{M},{} where \\spad{B} is a non-singular lower triangular matrix and \\spad{d} is an element of \\spad{R} such that \\spad{M = d * inv(B)} has entries in \\spad{R}.")) (|UpTriBddDenomInv| ((|#4| |#4| |#1|) "\\spad{UpTriBddDenomInv(B,d)} returns \\spad{M},{} where \\spad{B} is a non-singular upper triangular matrix and \\spad{d} is an element of \\spad{R} such that \\spad{M = d * inv(B)} has entries in \\spad{R}."))) 
 NIL 
 NIL 
-(-1229 R -1959) 
+(-1229 R -1962) 
 ((|constructor| (NIL "TranscendentalManipulations provides functions to simplify and expand expressions involving transcendental operators.")) (|expandTrigProducts| ((|#2| |#2|) "\\spad{expandTrigProducts(e)} replaces \\axiom{sin(\\spad{x})*sin(\\spad{y})} by \\spad{(cos(x-y)-cos(x+y))/2},{} \\axiom{cos(\\spad{x})*cos(\\spad{y})} by \\spad{(cos(x-y)+cos(x+y))/2},{} and \\axiom{sin(\\spad{x})*cos(\\spad{y})} by \\spad{(sin(x-y)+sin(x+y))/2}. Note that this operation uses the pattern matcher and so is relatively expensive. To avoid getting into an infinite loop the transformations are applied at most ten times.")) (|removeSinhSq| ((|#2| |#2|) "\\spad{removeSinhSq(f)} converts every \\spad{sinh(u)**2} appearing in \\spad{f} into \\spad{1 - cosh(x)**2},{} and also reduces higher powers of \\spad{sinh(u)} with that formula.")) (|removeCoshSq| ((|#2| |#2|) "\\spad{removeCoshSq(f)} converts every \\spad{cosh(u)**2} appearing in \\spad{f} into \\spad{1 - sinh(x)**2},{} and also reduces higher powers of \\spad{cosh(u)} with that formula.")) (|removeSinSq| ((|#2| |#2|) "\\spad{removeSinSq(f)} converts every \\spad{sin(u)**2} appearing in \\spad{f} into \\spad{1 - cos(x)**2},{} and also reduces higher powers of \\spad{sin(u)} with that formula.")) (|removeCosSq| ((|#2| |#2|) "\\spad{removeCosSq(f)} converts every \\spad{cos(u)**2} appearing in \\spad{f} into \\spad{1 - sin(x)**2},{} and also reduces higher powers of \\spad{cos(u)} with that formula.")) (|coth2tanh| ((|#2| |#2|) "\\spad{coth2tanh(f)} converts every \\spad{coth(u)} appearing in \\spad{f} into \\spad{1/tanh(u)}.")) (|cot2tan| ((|#2| |#2|) "\\spad{cot2tan(f)} converts every \\spad{cot(u)} appearing in \\spad{f} into \\spad{1/tan(u)}.")) (|tanh2coth| ((|#2| |#2|) "\\spad{tanh2coth(f)} converts every \\spad{tanh(u)} appearing in \\spad{f} into \\spad{1/coth(u)}.")) (|tan2cot| ((|#2| |#2|) "\\spad{tan2cot(f)} converts every \\spad{tan(u)} appearing in \\spad{f} into \\spad{1/cot(u)}.")) (|tanh2trigh| ((|#2| |#2|) "\\spad{tanh2trigh(f)} converts every \\spad{tanh(u)} appearing in \\spad{f} into \\spad{sinh(u)/cosh(u)}.")) (|tan2trig| ((|#2| |#2|) "\\spad{tan2trig(f)} converts every \\spad{tan(u)} appearing in \\spad{f} into \\spad{sin(u)/cos(u)}.")) (|sinh2csch| ((|#2| |#2|) "\\spad{sinh2csch(f)} converts every \\spad{sinh(u)} appearing in \\spad{f} into \\spad{1/csch(u)}.")) (|sin2csc| ((|#2| |#2|) "\\spad{sin2csc(f)} converts every \\spad{sin(u)} appearing in \\spad{f} into \\spad{1/csc(u)}.")) (|sech2cosh| ((|#2| |#2|) "\\spad{sech2cosh(f)} converts every \\spad{sech(u)} appearing in \\spad{f} into \\spad{1/cosh(u)}.")) (|sec2cos| ((|#2| |#2|) "\\spad{sec2cos(f)} converts every \\spad{sec(u)} appearing in \\spad{f} into \\spad{1/cos(u)}.")) (|csch2sinh| ((|#2| |#2|) "\\spad{csch2sinh(f)} converts every \\spad{csch(u)} appearing in \\spad{f} into \\spad{1/sinh(u)}.")) (|csc2sin| ((|#2| |#2|) "\\spad{csc2sin(f)} converts every \\spad{csc(u)} appearing in \\spad{f} into \\spad{1/sin(u)}.")) (|coth2trigh| ((|#2| |#2|) "\\spad{coth2trigh(f)} converts every \\spad{coth(u)} appearing in \\spad{f} into \\spad{cosh(u)/sinh(u)}.")) (|cot2trig| ((|#2| |#2|) "\\spad{cot2trig(f)} converts every \\spad{cot(u)} appearing in \\spad{f} into \\spad{cos(u)/sin(u)}.")) (|cosh2sech| ((|#2| |#2|) "\\spad{cosh2sech(f)} converts every \\spad{cosh(u)} appearing in \\spad{f} into \\spad{1/sech(u)}.")) (|cos2sec| ((|#2| |#2|) "\\spad{cos2sec(f)} converts every \\spad{cos(u)} appearing in \\spad{f} into \\spad{1/sec(u)}.")) (|expandLog| ((|#2| |#2|) "\\spad{expandLog(f)} converts every \\spad{log(a/b)} appearing in \\spad{f} into \\spad{log(a) - log(b)},{} and every \\spad{log(a*b)} into \\spad{log(a) + log(b)}..")) (|expandPower| ((|#2| |#2|) "\\spad{expandPower(f)} converts every power \\spad{(a/b)**c} appearing in \\spad{f} into \\spad{a**c * b**(-c)}.")) (|simplifyLog| ((|#2| |#2|) "\\spad{simplifyLog(f)} converts every \\spad{log(a) - log(b)} appearing in \\spad{f} into \\spad{log(a/b)},{} every \\spad{log(a) + log(b)} into \\spad{log(a*b)} and every \\spad{n*log(a)} into \\spad{log(a^n)}.")) (|simplifyExp| ((|#2| |#2|) "\\spad{simplifyExp(f)} converts every product \\spad{exp(a)*exp(b)} appearing in \\spad{f} into \\spad{exp(a+b)}.")) (|htrigs| ((|#2| |#2|) "\\spad{htrigs(f)} converts all the exponentials in \\spad{f} into hyperbolic sines and cosines.")) (|simplify| ((|#2| |#2|) "\\spad{simplify(f)} performs the following simplifications on \\spad{f:}\\begin{items} \\item 1. rewrites trigs and hyperbolic trigs in terms of \\spad{sin} ,{}\\spad{cos},{} \\spad{sinh},{} \\spad{cosh}. \\item 2. rewrites \\spad{sin**2} and \\spad{sinh**2} in terms of \\spad{cos} and \\spad{cosh},{} \\item 3. rewrites \\spad{exp(a)*exp(b)} as \\spad{exp(a+b)}. \\item 4. rewrites \\spad{(a**(1/n))**m * (a**(1/s))**t} as a single power of a single radical of \\spad{a}. \\end{items}")) (|expand| ((|#2| |#2|) "\\spad{expand(f)} performs the following expansions on \\spad{f:}\\begin{items} \\item 1. logs of products are expanded into sums of logs,{} \\item 2. trigonometric and hyperbolic trigonometric functions of sums are expanded into sums of products of trigonometric and hyperbolic trigonometric functions. \\item 3. formal powers of the form \\spad{(a/b)**c} are expanded into \\spad{a**c * b**(-c)}. \\end{items}"))) 
 NIL 
 ((-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -901) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -901) (|devaluate| |#1|))))) 
@@ -4854,12 +4854,12 @@ NIL
 ((|HasCategory| |#4| (QUOTE (-379)))) 
 (-1231 R E V P) 
 ((|constructor| (NIL "The category of triangular sets of multivariate polynomials with coefficients in an integral domain. Let \\axiom{\\spad{R}} be an integral domain and \\axiom{\\spad{V}} a finite ordered set of variables,{} say \\axiom{\\spad{X1} < \\spad{X2} < ... < \\spad{Xn}}. A set \\axiom{\\spad{S}} of polynomials in \\axiom{\\spad{R}[\\spad{X1},{}\\spad{X2},{}...,{}\\spad{Xn}]} is triangular if no elements of \\axiom{\\spad{S}} lies in \\axiom{\\spad{R}},{} and if two distinct elements of \\axiom{\\spad{S}} have distinct main variables. Note that the empty set is a triangular set. A triangular set is not necessarily a (lexicographical) Groebner basis and the notion of reduction related to triangular sets is based on the recursive view of polynomials. We recall this notion here and refer to [1] for more details. A polynomial \\axiom{\\spad{P}} is reduced \\spad{w}.\\spad{r}.\\spad{t} a non-constant polynomial \\axiom{\\spad{Q}} if the degree of \\axiom{\\spad{P}} in the main variable of \\axiom{\\spad{Q}} is less than the main degree of \\axiom{\\spad{Q}}. A polynomial \\axiom{\\spad{P}} is reduced \\spad{w}.\\spad{r}.\\spad{t} a triangular set \\axiom{\\spad{T}} if it is reduced \\spad{w}.\\spad{r}.\\spad{t}. every polynomial of \\axiom{\\spad{T}}. \\newline References : \\indented{1}{[1] \\spad{P}. AUBRY,{} \\spad{D}. LAZARD and \\spad{M}. MORENO MAZA \"On the Theories} \\indented{5}{of Triangular Sets\" Journal of Symbol. Comp. (to appear)}")) (|coHeight| (((|NonNegativeInteger|) $) "\\axiom{coHeight(\\spad{ts})} returns \\axiom{size()\\spad{\\$}\\spad{V}} minus \\axiom{\\spad{\\#}\\spad{ts}}.")) (|extend| (($ $ |#4|) "\\axiom{extend(\\spad{ts},{}\\spad{p})} returns a triangular set which encodes the simple extension by \\axiom{\\spad{p}} of the extension of the base field defined by \\axiom{\\spad{ts}},{} according to the properties of triangular sets of the current category If the required properties do not hold an error is returned.")) (|extendIfCan| (((|Union| $ "failed") $ |#4|) "\\axiom{extendIfCan(\\spad{ts},{}\\spad{p})} returns a triangular set which encodes the simple extension by \\axiom{\\spad{p}} of the extension of the base field defined by \\axiom{\\spad{ts}},{} according to the properties of triangular sets of the current domain. If the required properties do not hold then \"failed\" is returned. This operation encodes in some sense the properties of the triangular sets of the current category. Is is used to implement the \\axiom{construct} operation to guarantee that every triangular set build from a list of polynomials has the required properties.")) (|select| (((|Union| |#4| "failed") $ |#3|) "\\axiom{select(\\spad{ts},{}\\spad{v})} returns the polynomial of \\axiom{\\spad{ts}} with \\axiom{\\spad{v}} as main variable,{} if any.")) (|algebraic?| (((|Boolean|) |#3| $) "\\axiom{algebraic?(\\spad{v},{}\\spad{ts})} returns \\spad{true} iff \\axiom{\\spad{v}} is the main variable of some polynomial in \\axiom{\\spad{ts}}.")) (|algebraicVariables| (((|List| |#3|) $) "\\axiom{algebraicVariables(\\spad{ts})} returns the decreasingly sorted list of the main variables of the polynomials of \\axiom{\\spad{ts}}.")) (|rest| (((|Union| $ "failed") $) "\\axiom{rest(\\spad{ts})} returns the polynomials of \\axiom{\\spad{ts}} with smaller main variable than \\axiom{mvar(\\spad{ts})} if \\axiom{\\spad{ts}} is not empty,{} otherwise returns \"failed\"")) (|last| (((|Union| |#4| "failed") $) "\\axiom{last(\\spad{ts})} returns the polynomial of \\axiom{\\spad{ts}} with smallest main variable if \\axiom{\\spad{ts}} is not empty,{} otherwise returns \\axiom{\"failed\"}.")) (|first| (((|Union| |#4| "failed") $) "\\axiom{first(\\spad{ts})} returns the polynomial of \\axiom{\\spad{ts}} with greatest main variable if \\axiom{\\spad{ts}} is not empty,{} otherwise returns \\axiom{\"failed\"}.")) (|zeroSetSplitIntoTriangularSystems| (((|List| (|Record| (|:| |close| $) (|:| |open| (|List| |#4|)))) (|List| |#4|)) "\\axiom{zeroSetSplitIntoTriangularSystems(\\spad{lp})} returns a list of triangular systems \\axiom{[[\\spad{ts1},{}\\spad{qs1}],{}...,{}[\\spad{tsn},{}\\spad{qsn}]]} such that the zero set of \\axiom{\\spad{lp}} is the union of the closures of the \\axiom{W_i} where \\axiom{W_i} consists of the zeros of \\axiom{\\spad{ts}} which do not cancel any polynomial in \\axiom{qsi}.")) (|zeroSetSplit| (((|List| $) (|List| |#4|)) "\\axiom{zeroSetSplit(\\spad{lp})} returns a list \\axiom{\\spad{lts}} of triangular sets such that the zero set of \\axiom{\\spad{lp}} is the union of the closures of the regular zero sets of the members of \\axiom{\\spad{lts}}.")) (|reduceByQuasiMonic| ((|#4| |#4| $) "\\axiom{reduceByQuasiMonic(\\spad{p},{}\\spad{ts})} returns the same as \\axiom{remainder(\\spad{p},{}collectQuasiMonic(\\spad{ts})).polnum}.")) (|collectQuasiMonic| (($ $) "\\axiom{collectQuasiMonic(\\spad{ts})} returns the subset of \\axiom{\\spad{ts}} consisting of the polynomials with initial in \\axiom{\\spad{R}}.")) (|removeZero| ((|#4| |#4| $) "\\axiom{removeZero(\\spad{p},{}\\spad{ts})} returns \\axiom{0} if \\axiom{\\spad{p}} reduces to \\axiom{0} by pseudo-division \\spad{w}.\\spad{r}.\\spad{t} \\axiom{\\spad{ts}} otherwise returns a polynomial \\axiom{\\spad{q}} computed from \\axiom{\\spad{p}} by removing any coefficient in \\axiom{\\spad{p}} reducing to \\axiom{0}.")) (|initiallyReduce| ((|#4| |#4| $) "\\axiom{initiallyReduce(\\spad{p},{}\\spad{ts})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{initiallyReduced?(\\spad{r},{}\\spad{ts})} holds and there exists some product \\axiom{\\spad{h}} of \\axiom{initials(\\spad{ts})} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{ts}}.")) (|headReduce| ((|#4| |#4| $) "\\axiom{headReduce(\\spad{p},{}\\spad{ts})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{headReduce?(\\spad{r},{}\\spad{ts})} holds and there exists some product \\axiom{\\spad{h}} of \\axiom{initials(\\spad{ts})} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{ts}}.")) (|stronglyReduce| ((|#4| |#4| $) "\\axiom{stronglyReduce(\\spad{p},{}\\spad{ts})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{stronglyReduced?(\\spad{r},{}\\spad{ts})} holds and there exists some product \\axiom{\\spad{h}} of \\axiom{initials(\\spad{ts})} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{ts}}.")) (|rewriteSetWithReduction| (((|List| |#4|) (|List| |#4|) $ (|Mapping| |#4| |#4| |#4|) (|Mapping| (|Boolean|) |#4| |#4|)) "\\axiom{rewriteSetWithReduction(\\spad{lp},{}\\spad{ts},{}redOp,{}redOp?)} returns a list \\axiom{\\spad{lq}} of polynomials such that \\axiom{[reduce(\\spad{p},{}\\spad{ts},{}redOp,{}redOp?) for \\spad{p} in \\spad{lp}]} and \\axiom{\\spad{lp}} have the same zeros inside the regular zero set of \\axiom{\\spad{ts}}. Moreover,{} for every polynomial \\axiom{\\spad{q}} in \\axiom{\\spad{lq}} and every polynomial \\axiom{\\spad{t}} in \\axiom{\\spad{ts}} \\axiom{redOp?(\\spad{q},{}\\spad{t})} holds and there exists a polynomial \\axiom{\\spad{p}} in the ideal generated by \\axiom{\\spad{lp}} and a product \\axiom{\\spad{h}} of \\axiom{initials(\\spad{ts})} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{ts}}. The operation \\axiom{redOp} must satisfy the following conditions. For every \\axiom{\\spad{p}} and \\axiom{\\spad{q}} we have \\axiom{redOp?(redOp(\\spad{p},{}\\spad{q}),{}\\spad{q})} and there exists an integer \\axiom{\\spad{e}} and a polynomial \\axiom{\\spad{f}} such that \\axiom{init(\\spad{q})^e*p = \\spad{f*q} + redOp(\\spad{p},{}\\spad{q})}.")) (|reduce| ((|#4| |#4| $ (|Mapping| |#4| |#4| |#4|) (|Mapping| (|Boolean|) |#4| |#4|)) "\\axiom{reduce(\\spad{p},{}\\spad{ts},{}redOp,{}redOp?)} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{redOp?(\\spad{r},{}\\spad{p})} holds for every \\axiom{\\spad{p}} of \\axiom{\\spad{ts}} and there exists some product \\axiom{\\spad{h}} of the initials of the members of \\axiom{\\spad{ts}} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{ts}}. The operation \\axiom{redOp} must satisfy the following conditions. For every \\axiom{\\spad{p}} and \\axiom{\\spad{q}} we have \\axiom{redOp?(redOp(\\spad{p},{}\\spad{q}),{}\\spad{q})} and there exists an integer \\axiom{\\spad{e}} and a polynomial \\axiom{\\spad{f}} such that \\axiom{init(\\spad{q})^e*p = \\spad{f*q} + redOp(\\spad{p},{}\\spad{q})}.")) (|autoReduced?| (((|Boolean|) $ (|Mapping| (|Boolean|) |#4| (|List| |#4|))) "\\axiom{autoReduced?(\\spad{ts},{}redOp?)} returns \\spad{true} iff every element of \\axiom{\\spad{ts}} is reduced \\spad{w}.\\spad{r}.\\spad{t} to every other in the sense of \\axiom{redOp?}")) (|initiallyReduced?| (((|Boolean|) $) "\\spad{initiallyReduced?(ts)} returns \\spad{true} iff for every element \\axiom{\\spad{p}} of \\axiom{\\spad{ts}} \\axiom{\\spad{p}} and all its iterated initials are reduced \\spad{w}.\\spad{r}.\\spad{t}. to the other elements of \\axiom{\\spad{ts}} with the same main variable.") (((|Boolean|) |#4| $) "\\axiom{initiallyReduced?(\\spad{p},{}\\spad{ts})} returns \\spad{true} iff \\axiom{\\spad{p}} and all its iterated initials are reduced \\spad{w}.\\spad{r}.\\spad{t}. to the elements of \\axiom{\\spad{ts}} with the same main variable.")) (|headReduced?| (((|Boolean|) $) "\\spad{headReduced?(ts)} returns \\spad{true} iff the head of every element of \\axiom{\\spad{ts}} is reduced \\spad{w}.\\spad{r}.\\spad{t} to any other element of \\axiom{\\spad{ts}}.") (((|Boolean|) |#4| $) "\\axiom{headReduced?(\\spad{p},{}\\spad{ts})} returns \\spad{true} iff the head of \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{ts}}.")) (|stronglyReduced?| (((|Boolean|) $) "\\axiom{stronglyReduced?(\\spad{ts})} returns \\spad{true} iff every element of \\axiom{\\spad{ts}} is reduced \\spad{w}.\\spad{r}.\\spad{t} to any other element of \\axiom{\\spad{ts}}.") (((|Boolean|) |#4| $) "\\axiom{stronglyReduced?(\\spad{p},{}\\spad{ts})} returns \\spad{true} iff \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{ts}}.")) (|reduced?| (((|Boolean|) |#4| $ (|Mapping| (|Boolean|) |#4| |#4|)) "\\axiom{reduced?(\\spad{p},{}\\spad{ts},{}redOp?)} returns \\spad{true} iff \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. in the sense of the operation \\axiom{redOp?},{} that is if for every \\axiom{\\spad{t}} in \\axiom{\\spad{ts}} \\axiom{redOp?(\\spad{p},{}\\spad{t})} holds.")) (|normalized?| (((|Boolean|) $) "\\axiom{normalized?(\\spad{ts})} returns \\spad{true} iff for every axiom{\\spad{p}} in axiom{\\spad{ts}} we have \\axiom{normalized?(\\spad{p},{}us)} where \\axiom{us} is \\axiom{collectUnder(\\spad{ts},{}mvar(\\spad{p}))}.") (((|Boolean|) |#4| $) "\\axiom{normalized?(\\spad{p},{}\\spad{ts})} returns \\spad{true} iff \\axiom{\\spad{p}} and all its iterated initials have degree zero \\spad{w}.\\spad{r}.\\spad{t}. the main variables of the polynomials of \\axiom{\\spad{ts}}")) (|quasiComponent| (((|Record| (|:| |close| (|List| |#4|)) (|:| |open| (|List| |#4|))) $) "\\axiom{quasiComponent(\\spad{ts})} returns \\axiom{[\\spad{lp},{}\\spad{lq}]} where \\axiom{\\spad{lp}} is the list of the members of \\axiom{\\spad{ts}} and \\axiom{\\spad{lq}}is \\axiom{initials(\\spad{ts})}.")) (|degree| (((|NonNegativeInteger|) $) "\\axiom{degree(\\spad{ts})} returns the product of main degrees of the members of \\axiom{\\spad{ts}}.")) (|initials| (((|List| |#4|) $) "\\axiom{initials(\\spad{ts})} returns the list of the non-constant initials of the members of \\axiom{\\spad{ts}}.")) (|basicSet| (((|Union| (|Record| (|:| |bas| $) (|:| |top| (|List| |#4|))) "failed") (|List| |#4|) (|Mapping| (|Boolean|) |#4|) (|Mapping| (|Boolean|) |#4| |#4|)) "\\axiom{basicSet(\\spad{ps},{}pred?,{}redOp?)} returns the same as \\axiom{basicSet(\\spad{qs},{}redOp?)} where \\axiom{\\spad{qs}} consists of the polynomials of \\axiom{\\spad{ps}} satisfying property \\axiom{pred?}.") (((|Union| (|Record| (|:| |bas| $) (|:| |top| (|List| |#4|))) "failed") (|List| |#4|) (|Mapping| (|Boolean|) |#4| |#4|)) "\\axiom{basicSet(\\spad{ps},{}redOp?)} returns \\axiom{[\\spad{bs},{}\\spad{ts}]} where \\axiom{concat(\\spad{bs},{}\\spad{ts})} is \\axiom{\\spad{ps}} and \\axiom{\\spad{bs}} is a basic set in Wu Wen Tsun sense of \\axiom{\\spad{ps}} \\spad{w}.\\spad{r}.\\spad{t} the reduction-test \\axiom{redOp?},{} if no non-zero constant polynomial lie in \\axiom{\\spad{ps}},{} otherwise \\axiom{\"failed\"} is returned.")) (|infRittWu?| (((|Boolean|) $ $) "\\axiom{infRittWu?(\\spad{ts1},{}\\spad{ts2})} returns \\spad{true} iff \\axiom{\\spad{ts2}} has higher rank than \\axiom{\\spad{ts1}} in Wu Wen Tsun sense."))) 
-((-4465 . T) (-4464 . T)) 
+((-4466 . T) (-4465 . T)) 
 NIL 
 (-1232 |Coef|) 
 ((|constructor| (NIL "\\spadtype{TaylorSeries} is a general multivariate Taylor series domain over the ring Coef and with variables of type Symbol.")) (|fintegrate| (($ (|Mapping| $) (|Symbol|) |#1|) "\\spad{fintegrate(f,v,c)} is the integral of \\spad{f()} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.} \\indented{1}{The evaluation of \\spad{f()} is delayed.}")) (|integrate| (($ $ (|Symbol|) |#1|) "\\spad{integrate(s,v,c)} is the integral of \\spad{s} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.}")) (|coerce| (($ (|Polynomial| |#1|)) "\\spad{coerce(s)} regroups terms of \\spad{s} by total degree \\indented{1}{and forms a series.}") (($ (|Symbol|)) "\\spad{coerce(s)} converts a variable to a Taylor series")) (|coefficient| (((|Polynomial| |#1|) $ (|NonNegativeInteger|)) "\\spad{coefficient(s, n)} gives the terms of total degree \\spad{n}."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4459 . T) (-4458 . T) (-4461 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374)))) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4460 . T) (-4459 . T) (-4462 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374)))) 
 (-1233 |Curve|) 
 ((|constructor| (NIL "\\indented{2}{Package for constructing tubes around 3-dimensional parametric curves.} Domain of tubes around 3-dimensional parametric curves.")) (|tube| (($ |#1| (|List| (|List| (|Point| (|DoubleFloat|)))) (|Boolean|)) "\\spad{tube(c,ll,b)} creates a tube of the domain \\spadtype{TubePlot} from a space curve \\spad{c} of the category \\spadtype{PlottableSpaceCurveCategory},{} a list of lists of points (loops) \\spad{ll} and a boolean \\spad{b} which if \\spad{true} indicates a closed tube,{} or if \\spad{false} an open tube.")) (|setClosed| (((|Boolean|) $ (|Boolean|)) "\\spad{setClosed(t,b)} declares the given tube plot \\spad{t} to be closed if \\spad{b} is \\spad{true},{} or if \\spad{b} is \\spad{false},{} \\spad{t} is set to be open.")) (|open?| (((|Boolean|) $) "\\spad{open?(t)} tests whether the given tube plot \\spad{t} is open.")) (|closed?| (((|Boolean|) $) "\\spad{closed?(t)} tests whether the given tube plot \\spad{t} is closed.")) (|listLoops| (((|List| (|List| (|Point| (|DoubleFloat|)))) $) "\\spad{listLoops(t)} returns the list of lists of points,{} or the 'loops',{} of the given tube plot \\spad{t}.")) (|getCurve| ((|#1| $) "\\spad{getCurve(t)} returns the \\spadtype{PlottableSpaceCurveCategory} representing the parametric curve of the given tube plot \\spad{t}."))) 
 NIL 
@@ -4872,7 +4872,7 @@ NIL
 ((|constructor| (NIL "\\indented{1}{This domain is used to interface with the interpreter\\spad{'s} notion} of comma-delimited sequences of values.")) (|length| (((|NonNegativeInteger|) $) "\\spad{length(x)} returns the number of elements in tuple \\spad{x}")) (|select| ((|#1| $ (|NonNegativeInteger|)) "\\spad{select(x,n)} returns the \\spad{n}-th element of tuple \\spad{x}. tuples are 0-based"))) 
 NIL 
 ((|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) 
-(-1236 -1959) 
+(-1236 -1962) 
 ((|constructor| (NIL "A basic package for the factorization of bivariate polynomials over a finite field. The functions here represent the base step for the multivariate factorizer.")) (|twoFactor| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|)) (|Integer|)) "\\spad{twoFactor(p,n)} returns the factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}. Also,{} \\spad{p} is assumed primitive and square-free and \\spad{n} is the degree of the inner variable of \\spad{p} (maximum of the degrees of the coefficients of \\spad{p}).")) (|generalSqFr| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) "\\spad{generalSqFr(p)} returns the square-free factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}.")) (|generalTwoFactor| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) "\\spad{generalTwoFactor(p)} returns the factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}."))) 
 NIL 
 NIL 
@@ -4898,7 +4898,7 @@ NIL
 NIL 
 (-1242) 
 ((|constructor| (NIL "A constructive unique factorization domain,{} \\spadignore{i.e.} where we can constructively factor members into a product of a finite number of irreducible elements.")) (|factor| (((|Factored| $) $) "\\spad{factor(x)} returns the factorization of \\spad{x} into irreducibles.")) (|squareFreePart| (($ $) "\\spad{squareFreePart(x)} returns a product of prime factors of \\spad{x} each taken with multiplicity one.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(x)} returns the square-free factorization of \\spad{x} \\spadignore{i.e.} such that the factors are pairwise relatively prime and each has multiple prime factors.")) (|prime?| (((|Boolean|) $) "\\spad{prime?(x)} tests if \\spad{x} can never be written as the product of two non-units of the ring,{} \\spadignore{i.e.} \\spad{x} is an irreducible element."))) 
-((-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-1243) 
 ((|constructor| (NIL "This domain is a datatype for (unsigned) integer values of precision 16 bits."))) 
@@ -4922,7 +4922,7 @@ NIL
 NIL 
 (-1248 |Coef|) 
 ((|constructor| (NIL "\\spadtype{UnivariateLaurentSeriesCategory} is the category of Laurent series in one variable.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(f(x),y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $ (|Symbol|)) "\\spad{integrate(f(x),y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 1. We may integrate a series when we can divide coefficients by integers.")) (|rationalFunction| (((|Fraction| (|Polynomial| |#1|)) $ (|Integer|) (|Integer|)) "\\spad{rationalFunction(f,k1,k2)} returns a rational function consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (((|Fraction| (|Polynomial| |#1|)) $ (|Integer|)) "\\spad{rationalFunction(f,k)} returns a rational function consisting of the sum of all terms of \\spad{f} of degree \\spad{<=} \\spad{k}.")) (|multiplyCoefficients| (($ (|Mapping| |#1| (|Integer|)) $) "\\spad{multiplyCoefficients(f,sum(n = n0..infinity,a[n] * x**n)) = sum(n = 0..infinity,f(n) * a[n] * x**n)}. This function is used when Puiseux series are represented by a Laurent series and an exponent.")) (|series| (($ (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4458 . T) (-4459 . T) (-4461 . T)) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4463 |has| |#1| (-374)) (-4457 |has| |#1| (-374)) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-1249 S |Coef| UTS) 
 ((|constructor| (NIL "This is a category of univariate Laurent series constructed from univariate Taylor series. A Laurent series is represented by a pair \\spad{[n,f(x)]},{} where \\spad{n} is an arbitrary integer and \\spad{f(x)} is a Taylor series. This pair represents the Laurent series \\spad{x**n * f(x)}.")) (|taylorIfCan| (((|Union| |#3| "failed") $) "\\spad{taylorIfCan(f(x))} converts the Laurent series \\spad{f(x)} to a Taylor series,{} if possible. If this is not possible,{} \"failed\" is returned.")) (|taylor| ((|#3| $) "\\spad{taylor(f(x))} converts the Laurent series \\spad{f}(\\spad{x}) to a Taylor series,{} if possible. Error: if this is not possible.")) (|removeZeroes| (($ (|Integer|) $) "\\spad{removeZeroes(n,f(x))} removes up to \\spad{n} leading zeroes from the Laurent series \\spad{f(x)}. A Laurent series is represented by (1) an exponent and (2) a Taylor series which may have leading zero coefficients. When the Taylor series has a leading zero coefficient,{} the 'leading zero' is removed from the Laurent series as follows: the series is rewritten by increasing the exponent by 1 and dividing the Taylor series by its variable.") (($ $) "\\spad{removeZeroes(f(x))} removes leading zeroes from the representation of the Laurent series \\spad{f(x)}. A Laurent series is represented by (1) an exponent and (2) a Taylor series which may have leading zero coefficients. When the Taylor series has a leading zero coefficient,{} the 'leading zero' is removed from the Laurent series as follows: the series is rewritten by increasing the exponent by 1 and dividing the Taylor series by its variable. Note: \\spad{removeZeroes(f)} removes all leading zeroes from \\spad{f}")) (|taylorRep| ((|#3| $) "\\spad{taylorRep(f(x))} returns \\spad{g(x)},{} where \\spad{f = x**n * g(x)} is represented by \\spad{[n,g(x)]}.")) (|degree| (((|Integer|) $) "\\spad{degree(f(x))} returns the degree of the lowest order term of \\spad{f(x)},{} which may have zero as a coefficient.")) (|laurent| (($ (|Integer|) |#3|) "\\spad{laurent(n,f(x))} returns \\spad{x**n * f(x)}."))) 
@@ -4930,16 +4930,16 @@ NIL
 ((|HasCategory| |#2| (QUOTE (-374)))) 
 (-1250 |Coef| UTS) 
 ((|constructor| (NIL "This is a category of univariate Laurent series constructed from univariate Taylor series. A Laurent series is represented by a pair \\spad{[n,f(x)]},{} where \\spad{n} is an arbitrary integer and \\spad{f(x)} is a Taylor series. This pair represents the Laurent series \\spad{x**n * f(x)}.")) (|taylorIfCan| (((|Union| |#2| "failed") $) "\\spad{taylorIfCan(f(x))} converts the Laurent series \\spad{f(x)} to a Taylor series,{} if possible. If this is not possible,{} \"failed\" is returned.")) (|taylor| ((|#2| $) "\\spad{taylor(f(x))} converts the Laurent series \\spad{f}(\\spad{x}) to a Taylor series,{} if possible. Error: if this is not possible.")) (|removeZeroes| (($ (|Integer|) $) "\\spad{removeZeroes(n,f(x))} removes up to \\spad{n} leading zeroes from the Laurent series \\spad{f(x)}. A Laurent series is represented by (1) an exponent and (2) a Taylor series which may have leading zero coefficients. When the Taylor series has a leading zero coefficient,{} the 'leading zero' is removed from the Laurent series as follows: the series is rewritten by increasing the exponent by 1 and dividing the Taylor series by its variable.") (($ $) "\\spad{removeZeroes(f(x))} removes leading zeroes from the representation of the Laurent series \\spad{f(x)}. A Laurent series is represented by (1) an exponent and (2) a Taylor series which may have leading zero coefficients. When the Taylor series has a leading zero coefficient,{} the 'leading zero' is removed from the Laurent series as follows: the series is rewritten by increasing the exponent by 1 and dividing the Taylor series by its variable. Note: \\spad{removeZeroes(f)} removes all leading zeroes from \\spad{f}")) (|taylorRep| ((|#2| $) "\\spad{taylorRep(f(x))} returns \\spad{g(x)},{} where \\spad{f = x**n * g(x)} is represented by \\spad{[n,g(x)]}.")) (|degree| (((|Integer|) $) "\\spad{degree(f(x))} returns the degree of the lowest order term of \\spad{f(x)},{} which may have zero as a coefficient.")) (|laurent| (($ (|Integer|) |#2|) "\\spad{laurent(n,f(x))} returns \\spad{x**n * f(x)}."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4458 . T) (-4459 . T) (-4461 . T)) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4463 |has| |#1| (-374)) (-4457 |has| |#1| (-374)) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-1251 |Coef| UTS) 
 ((|constructor| (NIL "This package enables one to construct a univariate Laurent series domain from a univariate Taylor series domain. Univariate Laurent series are represented by a pair \\spad{[n,f(x)]},{} where \\spad{n} is an arbitrary integer and \\spad{f(x)} is a Taylor series. This pair represents the Laurent series \\spad{x**n * f(x)}."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((-2758 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -296) (|devaluate| |#2|) (|devaluate| |#2|)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#2|)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-832)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-861)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-928)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-1043)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-1173)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197)))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-2758 (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-146))))) (-2758 (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-148))))) (-2758 (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-576)) (|devaluate| |#1|))))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))))) (-2758 (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-576)) (|devaluate| |#1|))))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -919) (QUOTE (-1197)))))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-238)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-576)) (|devaluate| |#1|))))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-238)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-237)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-576)) (|devaluate| |#1|))))) (|HasCategory| (-576) (QUOTE (-1133))) (-2758 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-928)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| 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 ((|constructor| (NIL "Package for the factorization of univariate polynomials with integer coefficients. The factorization is done by \"lifting\" (HENSEL) the factorization over a finite field.")) (|henselFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|)) "\\spad{henselFact(m,flag)} returns the factorization of \\spad{m},{} FinalFact is a Record \\spad{s}.\\spad{t}. FinalFact.contp=content \\spad{m},{} FinalFact.factors=List of irreducible factors of \\spad{m} with exponent ,{} if \\spad{flag} =true the polynomial is assumed square free.")) (|factorSquareFree| (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(m)} returns the factorization of \\spad{m} square free polynomial")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(m)} returns the factorization of \\spad{m}"))) 
 NIL 
@@ -4974,8 +4974,8 @@ NIL
 NIL 
 (-1261 |x| R) 
 ((|constructor| (NIL "This domain represents univariate polynomials in some symbol over arbitrary (not necessarily commutative) coefficient rings. The representation is sparse in the sense that only non-zero terms are represented.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#2| $) "\\spad{fmecg(p1,e,r,p2)} finds \\spad{X} : \\spad{p1} - \\spad{r} * X**e * \\spad{p2}"))) 
-(((-4466 "*") |has| |#2| (-174)) (-4457 |has| |#2| (-568)) (-4460 |has| |#2| (-374)) (-4462 |has| |#2| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) 
-((|HasCategory| |#2| (QUOTE (-928))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (-2758 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-568)))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2758 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-2758 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2758 (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2758 (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-1173))) (|HasCategory| |#2| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-237))) (|HasCategory| |#2| (QUOTE (-238))) (|HasAttribute| |#2| (QUOTE -4462)) (|HasCategory| |#2| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (-2758 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-146))))) 
+(((-4467 "*") |has| |#2| (-174)) (-4458 |has| |#2| (-568)) (-4461 |has| |#2| (-374)) (-4463 |has| |#2| (-6 -4463)) (-4460 . T) (-4459 . T) (-4462 . T)) 
+((|HasCategory| |#2| (QUOTE (-928))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (-2760 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-568)))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2760 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-2760 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2760 (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2760 (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-1173))) (|HasCategory| |#2| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-237))) (|HasCategory| |#2| (QUOTE (-238))) (|HasAttribute| |#2| (QUOTE -4463)) (|HasCategory| |#2| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (-2760 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-146))))) 
 (-1262 R PR S PS) 
 ((|constructor| (NIL "Mapping from polynomials over \\spad{R} to polynomials over \\spad{S} given a map from \\spad{R} to \\spad{S} assumed to send zero to zero.")) (|map| ((|#4| (|Mapping| |#3| |#1|) |#2|) "\\spad{map(f, p)} takes a function \\spad{f} from \\spad{R} to \\spad{S},{} and applies it to each (non-zero) coefficient of a polynomial \\spad{p} over \\spad{R},{} getting a new polynomial over \\spad{S}. Note: since the map is not applied to zero elements,{} it may map zero to zero."))) 
 NIL 
@@ -4986,15 +4986,15 @@ NIL
 ((|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-1173)))) 
 (-1264 R) 
 ((|constructor| (NIL "The category of univariate polynomials over a ring \\spad{R}. No particular model is assumed - implementations can be either sparse or dense.")) (|integrate| (($ $) "\\spad{integrate(p)} integrates the univariate polynomial \\spad{p} with respect to its distinguished variable.")) (|additiveValuation| ((|attribute|) "euclideanSize(a*b) = euclideanSize(a) + euclideanSize(\\spad{b})")) (|separate| (((|Record| (|:| |primePart| $) (|:| |commonPart| $)) $ $) "\\spad{separate(p, q)} returns \\spad{[a, b]} such that polynomial \\spad{p = a b} and \\spad{a} is relatively prime to \\spad{q}.")) (|pseudoDivide| (((|Record| (|:| |coef| |#1|) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{pseudoDivide(p,q)} returns \\spad{[c, q, r]},{} when \\spad{p' := p*lc(q)**(deg p - deg q + 1) = c * p} is pseudo right-divided by \\spad{q},{} \\spadignore{i.e.} \\spad{p' = s q + r}.")) (|pseudoQuotient| (($ $ $) "\\spad{pseudoQuotient(p,q)} returns \\spad{r},{} the quotient when \\spad{p' := p*lc(q)**(deg p - deg q + 1)} is pseudo right-divided by \\spad{q},{} \\spadignore{i.e.} \\spad{p' = s q + r}.")) (|composite| (((|Union| (|Fraction| $) "failed") (|Fraction| $) $) "\\spad{composite(f, q)} returns \\spad{h} if \\spad{f} = \\spad{h}(\\spad{q}),{} and \"failed\" is no such \\spad{h} exists.") (((|Union| $ "failed") $ $) "\\spad{composite(p, q)} returns \\spad{h} if \\spad{p = h(q)},{} and \"failed\" no such \\spad{h} exists.")) (|subResultantGcd| (($ $ $) "\\spad{subResultantGcd(p,q)} computes the \\spad{gcd} of the polynomials \\spad{p} and \\spad{q} using the SubResultant \\spad{GCD} algorithm.")) (|order| (((|NonNegativeInteger|) $ $) "\\spad{order(p, q)} returns the largest \\spad{n} such that \\spad{q**n} divides polynomial \\spad{p} \\spadignore{i.e.} the order of \\spad{p(x)} at \\spad{q(x)=0}.")) (|elt| ((|#1| (|Fraction| $) |#1|) "\\spad{elt(a,r)} evaluates the fraction of univariate polynomials \\spad{a} with the distinguished variable replaced by the constant \\spad{r}.") (((|Fraction| $) (|Fraction| $) (|Fraction| $)) "\\spad{elt(a,b)} evaluates the fraction of univariate polynomials \\spad{a} with the distinguished variable replaced by \\spad{b}.")) (|resultant| ((|#1| $ $) "\\spad{resultant(p,q)} returns the resultant of the polynomials \\spad{p} and \\spad{q}.")) (|discriminant| ((|#1| $) "\\spad{discriminant(p)} returns the discriminant of the polynomial \\spad{p}.")) (|differentiate| (($ $ (|Mapping| |#1| |#1|) $) "\\spad{differentiate(p, d, x')} extends the \\spad{R}-derivation \\spad{d} to an extension \\spad{D} in \\spad{R[x]} where \\spad{Dx} is given by \\spad{x'},{} and returns \\spad{Dp}.")) (|pseudoRemainder| (($ $ $) "\\spad{pseudoRemainder(p,q)} = \\spad{r},{} for polynomials \\spad{p} and \\spad{q},{} returns the remainder when \\spad{p' := p*lc(q)**(deg p - deg q + 1)} is pseudo right-divided by \\spad{q},{} \\spadignore{i.e.} \\spad{p' = s q + r}.")) (|shiftLeft| (($ $ (|NonNegativeInteger|)) "\\spad{shiftLeft(p,n)} returns \\spad{p * monomial(1,n)}")) (|shiftRight| (($ $ (|NonNegativeInteger|)) "\\spad{shiftRight(p,n)} returns \\spad{monicDivide(p,monomial(1,n)).quotient}")) (|karatsubaDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ (|NonNegativeInteger|)) "\\spad{karatsubaDivide(p,n)} returns the same as \\spad{monicDivide(p,monomial(1,n))}")) (|monicDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{monicDivide(p,q)} divide the polynomial \\spad{p} by the monic polynomial \\spad{q},{} returning the pair \\spad{[quotient, remainder]}. Error: if \\spad{q} isn\\spad{'t} monic.")) (|divideExponents| (((|Union| $ "failed") $ (|NonNegativeInteger|)) "\\spad{divideExponents(p,n)} returns a new polynomial resulting from dividing all exponents of the polynomial \\spad{p} by the non negative integer \\spad{n},{} or \"failed\" if some exponent is not exactly divisible by \\spad{n}.")) (|multiplyExponents| (($ $ (|NonNegativeInteger|)) "\\spad{multiplyExponents(p,n)} returns a new polynomial resulting from multiplying all exponents of the polynomial \\spad{p} by the non negative integer \\spad{n}.")) (|unmakeSUP| (($ (|SparseUnivariatePolynomial| |#1|)) "\\spad{unmakeSUP(sup)} converts \\spad{sup} of type \\spadtype{SparseUnivariatePolynomial(R)} to be a member of the given type. Note: converse of makeSUP.")) (|makeSUP| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{makeSUP(p)} converts the polynomial \\spad{p} to be of type SparseUnivariatePolynomial over the same coefficients.")) (|vectorise| (((|Vector| |#1|) $ (|NonNegativeInteger|)) "\\spad{vectorise(p, n)} returns \\spad{[a0,...,a(n-1)]} where \\spad{p = a0 + a1*x + ... + a(n-1)*x**(n-1)} + higher order terms. The degree of polynomial \\spad{p} can be different from \\spad{n-1}."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4460 |has| |#1| (-374)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4461 |has| |#1| (-374)) (-4463 |has| |#1| (-6 -4463)) (-4460 . T) (-4459 . T) (-4462 . T)) 
 NIL 
 (-1265 S |Coef| |Expon|) 
 ((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#2|) $ |#2|) "\\spad{eval(f,a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#3|) "\\spad{extend(f,n)} causes all terms of \\spad{f} of degree \\spad{<=} \\spad{n} to be computed.")) (|approximate| ((|#2| $ |#3|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#3| |#3|) "\\spad{truncate(f,k1,k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#3|) "\\spad{truncate(f,k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#3| $ |#3|) "\\spad{order(f,n) = min(m,n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#3| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#2| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#3|) (|:| |c| |#2|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents."))) 
 NIL 
-((|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1133))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -3569) (LIST (|devaluate| |#2|) (QUOTE (-1197)))))) 
+((|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1133))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -3570) (LIST (|devaluate| |#2|) (QUOTE (-1197)))))) 
 (-1266 |Coef| |Expon|) 
 ((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#1|) $ |#1|) "\\spad{eval(f,a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#2|) "\\spad{extend(f,n)} causes all terms of \\spad{f} of degree \\spad{<=} \\spad{n} to be computed.")) (|approximate| ((|#1| $ |#2|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#2| |#2|) "\\spad{truncate(f,k1,k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#2|) "\\spad{truncate(f,k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#2| $ |#2|) "\\spad{order(f,n) = min(m,n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#2| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#1| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#2|) (|:| |c| |#1|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4458 . T) (-4459 . T) (-4461 . T)) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-1267 RC P) 
 ((|constructor| (NIL "This package provides for square-free decomposition of univariate polynomials over arbitrary rings,{} \\spadignore{i.e.} a partial factorization such that each factor is a product of irreducibles with multiplicity one and the factors are pairwise relatively prime. If the ring has characteristic zero,{} the result is guaranteed to satisfy this condition. If the ring is an infinite ring of finite characteristic,{} then it may not be possible to decide when polynomials contain factors which are \\spad{p}th powers. In this case,{} the flag associated with that polynomial is set to \"nil\" (meaning that that polynomials are not guaranteed to be square-free).")) (|BumInSepFFE| (((|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#2|) (|:| |xpnt| (|Integer|))) (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#2|) (|:| |xpnt| (|Integer|)))) "\\spad{BumInSepFFE(f)} is a local function,{} exported only because it has multiple conditional definitions.")) (|squareFreePart| ((|#2| |#2|) "\\spad{squareFreePart(p)} returns a polynomial which has the same irreducible factors as the univariate polynomial \\spad{p},{} but each factor has multiplicity one.")) (|squareFree| (((|Factored| |#2|) |#2|) "\\spad{squareFree(p)} computes the square-free factorization of the univariate polynomial \\spad{p}. Each factor has no repeated roots,{} and the factors are pairwise relatively prime.")) (|gcd| (($ $ $) "\\spad{gcd(p,q)} computes the greatest-common-divisor of \\spad{p} and \\spad{q}."))) 
@@ -5006,7 +5006,7 @@ NIL
 NIL 
 (-1269 |Coef|) 
 ((|constructor| (NIL "\\spadtype{UnivariatePuiseuxSeriesCategory} is the category of Puiseux series in one variable.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(f(x),y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $ (|Symbol|)) "\\spad{integrate(f(x),var)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{var}.") (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 1. We may integrate a series when we can divide coefficients by rational numbers.")) (|multiplyExponents| (($ $ (|Fraction| (|Integer|))) "\\spad{multiplyExponents(f,r)} multiplies all exponents of the power series \\spad{f} by the positive rational number \\spad{r}.")) (|series| (($ (|NonNegativeInteger|) (|Stream| (|Record| (|:| |k| (|Fraction| (|Integer|))) (|:| |c| |#1|)))) "\\spad{series(n,st)} creates a series from a common denomiator and a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents and \\spad{n} should be a common denominator for the exponents in the stream of terms."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4458 . T) (-4459 . T) (-4461 . T)) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4463 |has| |#1| (-374)) (-4457 |has| |#1| (-374)) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-1270 S |Coef| ULS) 
 ((|constructor| (NIL "This is a category of univariate Puiseux series constructed from univariate Laurent series. A Puiseux series is represented by a pair \\spad{[r,f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x^r)}.")) (|laurentIfCan| (((|Union| |#3| "failed") $) "\\spad{laurentIfCan(f(x))} converts the Puiseux series \\spad{f(x)} to a Laurent series if possible. If this is not possible,{} \"failed\" is returned.")) (|laurent| ((|#3| $) "\\spad{laurent(f(x))} converts the Puiseux series \\spad{f(x)} to a Laurent series if possible. Error: if this is not possible.")) (|degree| (((|Fraction| (|Integer|)) $) "\\spad{degree(f(x))} returns the degree of the leading term of the Puiseux series \\spad{f(x)},{} which may have zero as a coefficient.")) (|laurentRep| ((|#3| $) "\\spad{laurentRep(f(x))} returns \\spad{g(x)} where the Puiseux series \\spad{f(x) = g(x^r)} is represented by \\spad{[r,g(x)]}.")) (|rationalPower| (((|Fraction| (|Integer|)) $) "\\spad{rationalPower(f(x))} returns \\spad{r} where the Puiseux series \\spad{f(x) = g(x^r)}.")) (|puiseux| (($ (|Fraction| (|Integer|)) |#3|) "\\spad{puiseux(r,f(x))} returns \\spad{f(x^r)}."))) 
@@ -5014,24 +5014,24 @@ NIL
 NIL 
 (-1271 |Coef| ULS) 
 ((|constructor| (NIL "This is a category of univariate Puiseux series constructed from univariate Laurent series. A Puiseux series is represented by a pair \\spad{[r,f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x^r)}.")) (|laurentIfCan| (((|Union| |#2| "failed") $) "\\spad{laurentIfCan(f(x))} converts the Puiseux series \\spad{f(x)} to a Laurent series if possible. If this is not possible,{} \"failed\" is returned.")) (|laurent| ((|#2| $) "\\spad{laurent(f(x))} converts the Puiseux series \\spad{f(x)} to a Laurent series if possible. Error: if this is not possible.")) (|degree| (((|Fraction| (|Integer|)) $) "\\spad{degree(f(x))} returns the degree of the leading term of the Puiseux series \\spad{f(x)},{} which may have zero as a coefficient.")) (|laurentRep| ((|#2| $) "\\spad{laurentRep(f(x))} returns \\spad{g(x)} where the Puiseux series \\spad{f(x) = g(x^r)} is represented by \\spad{[r,g(x)]}.")) (|rationalPower| (((|Fraction| (|Integer|)) $) "\\spad{rationalPower(f(x))} returns \\spad{r} where the Puiseux series \\spad{f(x) = g(x^r)}.")) (|puiseux| (($ (|Fraction| (|Integer|)) |#2|) "\\spad{puiseux(r,f(x))} returns \\spad{f(x^r)}."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4458 . T) (-4459 . T) (-4461 . T)) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4463 |has| |#1| (-374)) (-4457 |has| |#1| (-374)) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-1272 |Coef| ULS) 
 ((|constructor| (NIL "This package enables one to construct a univariate Puiseux series domain from a univariate Laurent series domain. Univariate Puiseux series are represented by a pair \\spad{[r,f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x^r)}."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-374))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2758 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3569) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2758 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -3441) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1197))))) (|HasSignature| |#1| (LIST (QUOTE -1966) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4463 |has| |#1| (-374)) (-4457 |has| |#1| (-374)) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-374))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2760 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3570) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2760 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -1491) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1197))))) (|HasSignature| |#1| (LIST (QUOTE -1969) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) 
 (-1273 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Dense Puiseux series in one variable \\indented{2}{\\spadtype{UnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{UnivariatePuiseuxSeries(Integer,x,3)} represents Puiseux series in} \\indented{2}{\\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-374))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2758 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3569) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2758 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -3441) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1197))))) (|HasSignature| |#1| (LIST (QUOTE -1966) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#1|))))))) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4463 |has| |#1| (-374)) (-4457 |has| |#1| (-374)) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-374))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2760 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3570) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2760 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -1491) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1197))))) (|HasSignature| |#1| (LIST (QUOTE -1969) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#1|))))))) 
 (-1274 R FE |var| |cen|) 
 ((|constructor| (NIL "UnivariatePuiseuxSeriesWithExponentialSingularity is a domain used to represent functions with essential singularities. Objects in this domain are sums,{} where each term in the sum is a univariate Puiseux series times the exponential of a univariate Puiseux series. Thus,{} the elements of this domain are sums of expressions of the form \\spad{g(x) * exp(f(x))},{} where \\spad{g}(\\spad{x}) is a univariate Puiseux series and \\spad{f}(\\spad{x}) is a univariate Puiseux series with no terms of non-negative degree.")) (|dominantTerm| (((|Union| (|Record| (|:| |%term| (|Record| (|:| |%coef| (|UnivariatePuiseuxSeries| |#2| |#3| |#4|)) (|:| |%expon| (|ExponentialOfUnivariatePuiseuxSeries| |#2| |#3| |#4|)) (|:| |%expTerms| (|List| (|Record| (|:| |k| (|Fraction| (|Integer|))) (|:| |c| |#2|)))))) (|:| |%type| (|String|))) "failed") $) "\\spad{dominantTerm(f(var))} returns the term that dominates the limiting behavior of \\spad{f(var)} as \\spad{var -> cen+} together with a \\spadtype{String} which briefly describes that behavior. The value of the \\spadtype{String} will be \\spad{\"zero\"} (resp. \\spad{\"infinity\"}) if the term tends to zero (resp. infinity) exponentially and will \\spad{\"series\"} if the term is a Puiseux series.")) (|limitPlus| (((|Union| (|OrderedCompletion| |#2|) "failed") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> cen+,f(var))}."))) 
-(((-4466 "*") |has| (-1273 |#2| |#3| |#4|) (-174)) (-4457 |has| (-1273 |#2| |#3| |#4|) (-568)) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-146))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-174))) (-2758 (|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-374))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-464))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-568)))) 
+(((-4467 "*") |has| (-1273 |#2| |#3| |#4|) (-174)) (-4458 |has| (-1273 |#2| |#3| |#4|) (-568)) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-146))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-174))) (-2760 (|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-374))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-464))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-568)))) 
 (-1275 A S) 
 ((|constructor| (NIL "A unary-recursive aggregate is a one where nodes may have either 0 or 1 children. This aggregate models,{} though not precisely,{} a linked list possibly with a single cycle. A node with one children models a non-empty list,{} with the \\spadfun{value} of the list designating the head,{} or \\spadfun{first},{} of the list,{} and the child designating the tail,{} or \\spadfun{rest},{} of the list. A node with no child then designates the empty list. Since these aggregates are recursive aggregates,{} they may be cyclic.")) (|split!| (($ $ (|Integer|)) "\\spad{split!(u,n)} splits \\spad{u} into two aggregates: \\axiom{\\spad{v} = rest(\\spad{u},{}\\spad{n})} and \\axiom{\\spad{w} = first(\\spad{u},{}\\spad{n})},{} returning \\axiom{\\spad{v}}. Note: afterwards \\axiom{rest(\\spad{u},{}\\spad{n})} returns \\axiom{empty()}.")) (|setlast!| ((|#2| $ |#2|) "\\spad{setlast!(u,x)} destructively changes the last element of \\spad{u} to \\spad{x}.")) (|setrest!| (($ $ $) "\\spad{setrest!(u,v)} destructively changes the rest of \\spad{u} to \\spad{v}.")) (|setelt| ((|#2| $ "last" |#2|) "\\spad{setelt(u,\"last\",x)} (also written: \\axiom{\\spad{u}.last \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setlast!(\\spad{u},{}\\spad{v})}.") (($ $ "rest" $) "\\spad{setelt(u,\"rest\",v)} (also written: \\axiom{\\spad{u}.rest \\spad{:=} \\spad{v}}) is equivalent to \\axiom{setrest!(\\spad{u},{}\\spad{v})}.") ((|#2| $ "first" |#2|) "\\spad{setelt(u,\"first\",x)} (also written: \\axiom{\\spad{u}.first \\spad{:=} \\spad{x}}) is equivalent to \\axiom{setfirst!(\\spad{u},{}\\spad{x})}.")) (|setfirst!| ((|#2| $ |#2|) "\\spad{setfirst!(u,x)} destructively changes the first element of a to \\spad{x}.")) (|cycleSplit!| (($ $) "\\spad{cycleSplit!(u)} splits the aggregate by dropping off the cycle. The value returned is the cycle entry,{} or nil if none exists. For example,{} if \\axiom{\\spad{w} = concat(\\spad{u},{}\\spad{v})} is the cyclic list where \\spad{v} is the head of the cycle,{} \\axiom{cycleSplit!(\\spad{w})} will drop \\spad{v} off \\spad{w} thus destructively changing \\spad{w} to \\spad{u},{} and returning \\spad{v}.")) (|concat!| (($ $ |#2|) "\\spad{concat!(u,x)} destructively adds element \\spad{x} to the end of \\spad{u}. Note: \\axiom{concat!(a,{}\\spad{x}) = setlast!(a,{}[\\spad{x}])}.") (($ $ $) "\\spad{concat!(u,v)} destructively concatenates \\spad{v} to the end of \\spad{u}. Note: \\axiom{concat!(\\spad{u},{}\\spad{v}) = setlast!(\\spad{u},{}\\spad{v})}.")) (|cycleTail| (($ $) "\\spad{cycleTail(u)} returns the last node in the cycle,{} or empty if none exists.")) (|cycleLength| (((|NonNegativeInteger|) $) "\\spad{cycleLength(u)} returns the length of a top-level cycle contained in aggregate \\spad{u},{} or 0 is \\spad{u} has no such cycle.")) (|cycleEntry| (($ $) "\\spad{cycleEntry(u)} returns the head of a top-level cycle contained in aggregate \\spad{u},{} or \\axiom{empty()} if none exists.")) (|third| ((|#2| $) "\\spad{third(u)} returns the third element of \\spad{u}. Note: \\axiom{third(\\spad{u}) = first(rest(rest(\\spad{u})))}.")) (|second| ((|#2| $) "\\spad{second(u)} returns the second element of \\spad{u}. Note: \\axiom{second(\\spad{u}) = first(rest(\\spad{u}))}.")) (|tail| (($ $) "\\spad{tail(u)} returns the last node of \\spad{u}. Note: if \\spad{u} is \\axiom{shallowlyMutable},{} \\axiom{setrest(tail(\\spad{u}),{}\\spad{v}) = concat(\\spad{u},{}\\spad{v})}.")) (|last| (($ $ (|NonNegativeInteger|)) "\\spad{last(u,n)} returns a copy of the last \\spad{n} (\\axiom{\\spad{n} \\spad{>=} 0}) nodes of \\spad{u}. Note: \\axiom{last(\\spad{u},{}\\spad{n})} is a list of \\spad{n} elements.") ((|#2| $) "\\spad{last(u)} resturn the last element of \\spad{u}. Note: for lists,{} \\axiom{last(\\spad{u}) = \\spad{u} . (maxIndex \\spad{u}) = \\spad{u} . (\\# \\spad{u} - 1)}.")) (|rest| (($ $ (|NonNegativeInteger|)) "\\spad{rest(u,n)} returns the \\axiom{\\spad{n}}th (\\spad{n} \\spad{>=} 0) node of \\spad{u}. Note: \\axiom{rest(\\spad{u},{}0) = \\spad{u}}.") (($ $) "\\spad{rest(u)} returns an aggregate consisting of all but the first element of \\spad{u} (equivalently,{} the next node of \\spad{u}).")) (|elt| ((|#2| $ "last") "\\spad{elt(u,\"last\")} (also written: \\axiom{\\spad{u} . last}) is equivalent to last \\spad{u}.") (($ $ "rest") "\\spad{elt(\\%,\"rest\")} (also written: \\axiom{\\spad{u}.rest}) is equivalent to \\axiom{rest \\spad{u}}.") ((|#2| $ "first") "\\spad{elt(u,\"first\")} (also written: \\axiom{\\spad{u} . first}) is equivalent to first \\spad{u}.")) (|first| (($ $ (|NonNegativeInteger|)) "\\spad{first(u,n)} returns a copy of the first \\spad{n} (\\axiom{\\spad{n} \\spad{>=} 0}) elements of \\spad{u}.") ((|#2| $) "\\spad{first(u)} returns the first element of \\spad{u} (equivalently,{} the value at the current node).")) (|concat| (($ |#2| $) "\\spad{concat(x,u)} returns aggregate consisting of \\spad{x} followed by the elements of \\spad{u}. Note: if \\axiom{\\spad{v} = concat(\\spad{x},{}\\spad{u})} then \\axiom{\\spad{x} = first \\spad{v}} and \\axiom{\\spad{u} = rest \\spad{v}}.") (($ $ $) "\\spad{concat(u,v)} returns an aggregate \\spad{w} consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: \\axiom{\\spad{v} = rest(\\spad{w},{}\\#a)}."))) 
 NIL 
-((|HasAttribute| |#1| (QUOTE -4465))) 
+((|HasAttribute| |#1| (QUOTE -4466))) 
 (-1276 S) 
 ((|constructor| (NIL "A unary-recursive aggregate is a one where nodes may have either 0 or 1 children. This aggregate models,{} though not precisely,{} a linked list possibly with a single cycle. A node with one children models a non-empty list,{} with the \\spadfun{value} of the list designating the head,{} or \\spadfun{first},{} of the list,{} and the child designating the tail,{} or \\spadfun{rest},{} of the list. A node with no child then designates the empty list. Since these aggregates are recursive aggregates,{} they may be cyclic.")) (|split!| (($ $ (|Integer|)) "\\spad{split!(u,n)} splits \\spad{u} into two aggregates: \\axiom{\\spad{v} = rest(\\spad{u},{}\\spad{n})} and \\axiom{\\spad{w} = first(\\spad{u},{}\\spad{n})},{} returning \\axiom{\\spad{v}}. Note: afterwards \\axiom{rest(\\spad{u},{}\\spad{n})} returns \\axiom{empty()}.")) (|setlast!| ((|#1| $ |#1|) "\\spad{setlast!(u,x)} destructively changes the last element of \\spad{u} to \\spad{x}.")) (|setrest!| (($ $ $) "\\spad{setrest!(u,v)} destructively changes the rest of \\spad{u} to \\spad{v}.")) (|setelt| ((|#1| $ "last" |#1|) "\\spad{setelt(u,\"last\",x)} (also written: \\axiom{\\spad{u}.last \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setlast!(\\spad{u},{}\\spad{v})}.") (($ $ "rest" $) "\\spad{setelt(u,\"rest\",v)} (also written: \\axiom{\\spad{u}.rest \\spad{:=} \\spad{v}}) is equivalent to \\axiom{setrest!(\\spad{u},{}\\spad{v})}.") ((|#1| $ "first" |#1|) "\\spad{setelt(u,\"first\",x)} (also written: \\axiom{\\spad{u}.first \\spad{:=} \\spad{x}}) is equivalent to \\axiom{setfirst!(\\spad{u},{}\\spad{x})}.")) (|setfirst!| ((|#1| $ |#1|) "\\spad{setfirst!(u,x)} destructively changes the first element of a to \\spad{x}.")) (|cycleSplit!| (($ $) "\\spad{cycleSplit!(u)} splits the aggregate by dropping off the cycle. The value returned is the cycle entry,{} or nil if none exists. For example,{} if \\axiom{\\spad{w} = concat(\\spad{u},{}\\spad{v})} is the cyclic list where \\spad{v} is the head of the cycle,{} \\axiom{cycleSplit!(\\spad{w})} will drop \\spad{v} off \\spad{w} thus destructively changing \\spad{w} to \\spad{u},{} and returning \\spad{v}.")) (|concat!| (($ $ |#1|) "\\spad{concat!(u,x)} destructively adds element \\spad{x} to the end of \\spad{u}. Note: \\axiom{concat!(a,{}\\spad{x}) = setlast!(a,{}[\\spad{x}])}.") (($ $ $) "\\spad{concat!(u,v)} destructively concatenates \\spad{v} to the end of \\spad{u}. Note: \\axiom{concat!(\\spad{u},{}\\spad{v}) = setlast!(\\spad{u},{}\\spad{v})}.")) (|cycleTail| (($ $) "\\spad{cycleTail(u)} returns the last node in the cycle,{} or empty if none exists.")) (|cycleLength| (((|NonNegativeInteger|) $) "\\spad{cycleLength(u)} returns the length of a top-level cycle contained in aggregate \\spad{u},{} or 0 is \\spad{u} has no such cycle.")) (|cycleEntry| (($ $) "\\spad{cycleEntry(u)} returns the head of a top-level cycle contained in aggregate \\spad{u},{} or \\axiom{empty()} if none exists.")) (|third| ((|#1| $) "\\spad{third(u)} returns the third element of \\spad{u}. Note: \\axiom{third(\\spad{u}) = first(rest(rest(\\spad{u})))}.")) (|second| ((|#1| $) "\\spad{second(u)} returns the second element of \\spad{u}. Note: \\axiom{second(\\spad{u}) = first(rest(\\spad{u}))}.")) (|tail| (($ $) "\\spad{tail(u)} returns the last node of \\spad{u}. Note: if \\spad{u} is \\axiom{shallowlyMutable},{} \\axiom{setrest(tail(\\spad{u}),{}\\spad{v}) = concat(\\spad{u},{}\\spad{v})}.")) (|last| (($ $ (|NonNegativeInteger|)) "\\spad{last(u,n)} returns a copy of the last \\spad{n} (\\axiom{\\spad{n} \\spad{>=} 0}) nodes of \\spad{u}. Note: \\axiom{last(\\spad{u},{}\\spad{n})} is a list of \\spad{n} elements.") ((|#1| $) "\\spad{last(u)} resturn the last element of \\spad{u}. Note: for lists,{} \\axiom{last(\\spad{u}) = \\spad{u} . (maxIndex \\spad{u}) = \\spad{u} . (\\# \\spad{u} - 1)}.")) (|rest| (($ $ (|NonNegativeInteger|)) "\\spad{rest(u,n)} returns the \\axiom{\\spad{n}}th (\\spad{n} \\spad{>=} 0) node of \\spad{u}. Note: \\axiom{rest(\\spad{u},{}0) = \\spad{u}}.") (($ $) "\\spad{rest(u)} returns an aggregate consisting of all but the first element of \\spad{u} (equivalently,{} the next node of \\spad{u}).")) (|elt| ((|#1| $ "last") "\\spad{elt(u,\"last\")} (also written: \\axiom{\\spad{u} . last}) is equivalent to last \\spad{u}.") (($ $ "rest") "\\spad{elt(\\%,\"rest\")} (also written: \\axiom{\\spad{u}.rest}) is equivalent to \\axiom{rest \\spad{u}}.") ((|#1| $ "first") "\\spad{elt(u,\"first\")} (also written: \\axiom{\\spad{u} . first}) is equivalent to first \\spad{u}.")) (|first| (($ $ (|NonNegativeInteger|)) "\\spad{first(u,n)} returns a copy of the first \\spad{n} (\\axiom{\\spad{n} \\spad{>=} 0}) elements of \\spad{u}.") ((|#1| $) "\\spad{first(u)} returns the first element of \\spad{u} (equivalently,{} the value at the current node).")) (|concat| (($ |#1| $) "\\spad{concat(x,u)} returns aggregate consisting of \\spad{x} followed by the elements of \\spad{u}. Note: if \\axiom{\\spad{v} = concat(\\spad{x},{}\\spad{u})} then \\axiom{\\spad{x} = first \\spad{v}} and \\axiom{\\spad{u} = rest \\spad{v}}.") (($ $ $) "\\spad{concat(u,v)} returns an aggregate \\spad{w} consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: \\axiom{\\spad{v} = rest(\\spad{w},{}\\#a)}."))) 
 NIL 
@@ -5043,20 +5043,20 @@ NIL
 (-1278 S |Coef|) 
 ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(f(x),y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $ (|Symbol|)) "\\spad{integrate(f(x),y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (** (($ $ |#2|) "\\spad{f(x) ** a} computes a power of a power series. When the coefficient ring is a field,{} we may raise a series to an exponent from the coefficient ring provided that the constant coefficient of the series is 1.")) (|polynomial| (((|Polynomial| |#2|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{polynomial(f,k1,k2)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (((|Polynomial| |#2|) $ (|NonNegativeInteger|)) "\\spad{polynomial(f,k)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|multiplyCoefficients| (($ (|Mapping| |#2| (|Integer|)) $) "\\spad{multiplyCoefficients(f,sum(n = 0..infinity,a[n] * x**n))} returns \\spad{sum(n = 0..infinity,f(n) * a[n] * x**n)}. This function is used when Laurent series are represented by a Taylor series and an order.")) (|quoByVar| (($ $) "\\spad{quoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...} Thus,{} this function substracts the constant term and divides by the series variable. This function is used when Laurent series are represented by a Taylor series and an order.")) (|coefficients| (((|Stream| |#2|) $) "\\spad{coefficients(a0 + a1 x + a2 x**2 + ...)} returns a stream of coefficients: \\spad{[a0,a1,a2,...]}. The entries of the stream may be zero.")) (|series| (($ (|Stream| |#2|)) "\\spad{series([a0,a1,a2,...])} is the Taylor series \\spad{a0 + a1 x + a2 x**2 + ...}.") (($ (|Stream| (|Record| (|:| |k| (|NonNegativeInteger|)) (|:| |c| |#2|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents."))) 
 NIL 
-((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-978))) (|HasCategory| |#2| (QUOTE (-1223))) (|HasSignature| |#2| (LIST (QUOTE -1966) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -3441) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1197))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374)))) 
+((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-978))) (|HasCategory| |#2| (QUOTE (-1223))) (|HasSignature| |#2| (LIST (QUOTE -1969) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -1491) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1197))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374)))) 
 (-1279 |Coef|) 
 ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(f(x),y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $ (|Symbol|)) "\\spad{integrate(f(x),y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (** (($ $ |#1|) "\\spad{f(x) ** a} computes a power of a power series. When the coefficient ring is a field,{} we may raise a series to an exponent from the coefficient ring provided that the constant coefficient of the series is 1.")) (|polynomial| (((|Polynomial| |#1|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{polynomial(f,k1,k2)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (((|Polynomial| |#1|) $ (|NonNegativeInteger|)) "\\spad{polynomial(f,k)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|multiplyCoefficients| (($ (|Mapping| |#1| (|Integer|)) $) "\\spad{multiplyCoefficients(f,sum(n = 0..infinity,a[n] * x**n))} returns \\spad{sum(n = 0..infinity,f(n) * a[n] * x**n)}. This function is used when Laurent series are represented by a Taylor series and an order.")) (|quoByVar| (($ $) "\\spad{quoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...} Thus,{} this function substracts the constant term and divides by the series variable. This function is used when Laurent series are represented by a Taylor series and an order.")) (|coefficients| (((|Stream| |#1|) $) "\\spad{coefficients(a0 + a1 x + a2 x**2 + ...)} returns a stream of coefficients: \\spad{[a0,a1,a2,...]}. The entries of the stream may be zero.")) (|series| (($ (|Stream| |#1|)) "\\spad{series([a0,a1,a2,...])} is the Taylor series \\spad{a0 + a1 x + a2 x**2 + ...}.") (($ (|Stream| (|Record| (|:| |k| (|NonNegativeInteger|)) (|:| |c| |#1|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4458 . T) (-4459 . T) (-4461 . T)) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-1280 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Dense Taylor series in one variable \\spadtype{UnivariateTaylorSeries} is a domain representing Taylor series in one variable with coefficients in an arbitrary ring. The parameters of the type specify the coefficient ring,{} the power series variable,{} and the center of the power series expansion. For example,{} \\spadtype{UnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|invmultisect| (($ (|Integer|) (|Integer|) $) "\\spad{invmultisect(a,b,f(x))} substitutes \\spad{x^((a+b)*n)} \\indented{1}{for \\spad{x^n} and multiples by \\spad{x^b}.}")) (|multisect| (($ (|Integer|) (|Integer|) $) "\\spad{multisect(a,b,f(x))} selects the coefficients of \\indented{1}{\\spad{x^((a+b)*n+a)},{} and changes this monomial to \\spad{x^n}.}")) (|revert| (($ $) "\\spad{revert(f(x))} returns a Taylor series \\spad{g(x)} such that \\spad{f(g(x)) = g(f(x)) = x}. Series \\spad{f(x)} should have constant coefficient 0 and invertible 1st order coefficient.")) (|generalLambert| (($ $ (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),a,d)} returns \\spad{f(x^a) + f(x^(a + d)) + \\indented{1}{f(x^(a + 2 d)) + ... }. \\spad{f(x)} should have zero constant} \\indented{1}{coefficient and \\spad{a} and \\spad{d} should be positive.}")) (|evenlambert| (($ $) "\\spad{evenlambert(f(x))} returns \\spad{f(x^2) + f(x^4) + f(x^6) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,f(x^(2*n))) = exp(log(evenlambert(f(x))))}.}")) (|oddlambert| (($ $) "\\spad{oddlambert(f(x))} returns \\spad{f(x) + f(x^3) + f(x^5) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,f(x^(2*n-1)))=exp(log(oddlambert(f(x))))}.}")) (|lambert| (($ $) "\\spad{lambert(f(x))} returns \\spad{f(x) + f(x^2) + f(x^3) + ...}. \\indented{1}{This function is used for computing infinite products.} \\indented{1}{\\spad{f(x)} should have zero constant coefficient.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n = 1..infinity,f(x^n)) = exp(log(lambert(f(x))))}.}")) (|lagrange| (($ $) "\\spad{lagrange(g(x))} produces the Taylor series for \\spad{f(x)} \\indented{1}{where \\spad{f(x)} is implicitly defined as \\spad{f(x) = x*g(f(x))}.}")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) 
-(((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4458 . T) (-4459 . T) (-4461 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2758 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-783)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-783)) (|devaluate| |#1|)))) (|HasCategory| (-783) (QUOTE (-1133))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasSignature| |#1| (LIST (QUOTE -3569) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasCategory| |#1| (QUOTE (-374))) (-2758 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -3441) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1197))))) (|HasSignature| |#1| (LIST (QUOTE -1966) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#1|))))))) 
+(((-4467 "*") |has| |#1| (-174)) (-4458 |has| |#1| (-568)) (-4459 . T) (-4460 . T) (-4462 . T)) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2760 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-783)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-783)) (|devaluate| |#1|)))) (|HasCategory| (-783) (QUOTE (-1133))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasSignature| |#1| (LIST (QUOTE -3570) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasCategory| |#1| (QUOTE (-374))) (-2760 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -1491) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1197))))) (|HasSignature| |#1| (LIST (QUOTE -1969) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#1|))))))) 
 (-1281 |Coef| UTS) 
 ((|constructor| (NIL "\\indented{1}{This package provides Taylor series solutions to regular} linear or non-linear ordinary differential equations of arbitrary order.")) (|mpsode| (((|List| |#2|) (|List| |#1|) (|List| (|Mapping| |#2| (|List| |#2|)))) "\\spad{mpsode(r,f)} solves the system of differential equations \\spad{dy[i]/dx =f[i] [x,y[1],y[2],...,y[n]]},{} \\spad{y[i](a) = r[i]} for \\spad{i} in 1..\\spad{n}.")) (|ode| ((|#2| (|Mapping| |#2| (|List| |#2|)) (|List| |#1|)) "\\spad{ode(f,cl)} is the solution to \\spad{y<n>=f(y,y',..,y<n-1>)} such that \\spad{y<i>(a) = cl.i} for \\spad{i} in 1..\\spad{n}.")) (|ode2| ((|#2| (|Mapping| |#2| |#2| |#2|) |#1| |#1|) "\\spad{ode2(f,c0,c1)} is the solution to \\spad{y'' = f(y,y')} such that \\spad{y(a) = c0} and \\spad{y'(a) = c1}.")) (|ode1| ((|#2| (|Mapping| |#2| |#2|) |#1|) "\\spad{ode1(f,c)} is the solution to \\spad{y' = f(y)} such that \\spad{y(a) = c}.")) (|fixedPointExquo| ((|#2| |#2| |#2|) "\\spad{fixedPointExquo(f,g)} computes the exact quotient of \\spad{f} and \\spad{g} using a fixed point computation.")) (|stFuncN| (((|Mapping| (|Stream| |#1|) (|List| (|Stream| |#1|))) (|Mapping| |#2| (|List| |#2|))) "\\spad{stFuncN(f)} is a local function xported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc2| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2| |#2|)) "\\spad{stFunc2(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc1| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2|)) "\\spad{stFunc1(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user."))) 
 NIL 
 NIL 
-(-1282 -1959 UP L UTS) 
+(-1282 -1962 UP L UTS) 
 ((|constructor| (NIL "\\spad{RUTSodetools} provides tools to interface with the series \\indented{1}{ODE solver when presented with linear ODEs.}")) (RF2UTS ((|#4| (|Fraction| |#2|)) "\\spad{RF2UTS(f)} converts \\spad{f} to a Taylor series.")) (LODO2FUN (((|Mapping| |#4| (|List| |#4|)) |#3|) "\\spad{LODO2FUN(op)} returns the function to pass to the series ODE solver in order to solve \\spad{op y = 0}.")) (UTS2UP ((|#2| |#4| (|NonNegativeInteger|)) "\\spad{UTS2UP(s, n)} converts the first \\spad{n} terms of \\spad{s} to a univariate polynomial.")) (UP2UTS ((|#4| |#2|) "\\spad{UP2UTS(p)} converts \\spad{p} to a Taylor series."))) 
 NIL 
 ((|HasCategory| |#1| (QUOTE (-568)))) 
@@ -5074,7 +5074,7 @@ NIL
 ((|HasCategory| |#2| (QUOTE (-1023))) (|HasCategory| |#2| (QUOTE (-1070))) (|HasCategory| |#2| (QUOTE (-738))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-25)))) 
 (-1286 R) 
 ((|constructor| (NIL "\\spadtype{VectorCategory} represents the type of vector like objects,{} \\spadignore{i.e.} finite sequences indexed by some finite segment of the integers. The operations available on vectors depend on the structure of the underlying components. Many operations from the component domain are defined for vectors componentwise. It can by assumed that extraction or updating components can be done in constant time.")) (|magnitude| ((|#1| $) "\\spad{magnitude(v)} computes the sqrt(dot(\\spad{v},{}\\spad{v})),{} \\spadignore{i.e.} the length")) (|length| ((|#1| $) "\\spad{length(v)} computes the sqrt(dot(\\spad{v},{}\\spad{v})),{} \\spadignore{i.e.} the magnitude")) (|cross| (($ $ $) "vectorProduct(\\spad{u},{}\\spad{v}) constructs the cross product of \\spad{u} and \\spad{v}. Error: if \\spad{u} and \\spad{v} are not of length 3.")) (|outerProduct| (((|Matrix| |#1|) $ $) "\\spad{outerProduct(u,v)} constructs the matrix whose (\\spad{i},{}\\spad{j})\\spad{'}th element is \\spad{u}(\\spad{i})\\spad{*v}(\\spad{j}).")) (|dot| ((|#1| $ $) "\\spad{dot(x,y)} computes the inner product of the two vectors \\spad{x} and \\spad{y}. Error: if \\spad{x} and \\spad{y} are not of the same length.")) (* (($ $ |#1|) "\\spad{y * r} multiplies each component of the vector \\spad{y} by the element \\spad{r}.") (($ |#1| $) "\\spad{r * y} multiplies the element \\spad{r} times each component of the vector \\spad{y}.") (($ (|Integer|) $) "\\spad{n * y} multiplies each component of the vector \\spad{y} by the integer \\spad{n}.")) (- (($ $ $) "\\spad{x - y} returns the component-wise difference of the vectors \\spad{x} and \\spad{y}. Error: if \\spad{x} and \\spad{y} are not of the same length.") (($ $) "\\spad{-x} negates all components of the vector \\spad{x}.")) (|zero| (($ (|NonNegativeInteger|)) "\\spad{zero(n)} creates a zero vector of length \\spad{n}.")) (+ (($ $ $) "\\spad{x + y} returns the component-wise sum of the vectors \\spad{x} and \\spad{y}. Error: if \\spad{x} and \\spad{y} are not of the same length."))) 
-((-4465 . T) (-4464 . T)) 
+((-4466 . T) (-4465 . T)) 
 NIL 
 (-1287 A B) 
 ((|constructor| (NIL "\\indented{2}{This package provides operations which all take as arguments} vectors of elements of some type \\spad{A} and functions from \\spad{A} to another of type \\spad{B}. The operations all iterate over their vector argument and either return a value of type \\spad{B} or a vector over \\spad{B}.")) (|map| (((|Union| (|Vector| |#2|) "failed") (|Mapping| (|Union| |#2| "failed") |#1|) (|Vector| |#1|)) "\\spad{map(f, v)} applies the function \\spad{f} to every element of the vector \\spad{v} producing a new vector containing the values or \\spad{\"failed\"}.") (((|Vector| |#2|) (|Mapping| |#2| |#1|) (|Vector| |#1|)) "\\spad{map(f, v)} applies the function \\spad{f} to every element of the vector \\spad{v} producing a new vector containing the values.")) (|reduce| ((|#2| (|Mapping| |#2| |#1| |#2|) (|Vector| |#1|) |#2|) "\\spad{reduce(func,vec,ident)} combines the elements in \\spad{vec} using the binary function \\spad{func}. Argument \\spad{ident} is returned if \\spad{vec} is empty.")) (|scan| (((|Vector| |#2|) (|Mapping| |#2| |#1| |#2|) (|Vector| |#1|) |#2|) "\\spad{scan(func,vec,ident)} creates a new vector whose elements are the result of applying reduce to the binary function \\spad{func},{} increasing initial subsequences of the vector \\spad{vec},{} and the element \\spad{ident}."))) 
@@ -5082,8 +5082,8 @@ NIL
 NIL 
 (-1288 R) 
 ((|constructor| (NIL "This type represents vector like objects with varying lengths and indexed by a finite segment of integers starting at 1.")) (|vector| (($ (|List| |#1|)) "\\spad{vector(l)} converts the list \\spad{l} to a vector."))) 
-((-4465 . T) (-4464 . T)) 
-((-2758 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2758 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2758 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2758 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1070))) (-12 (|HasCategory| |#1| (QUOTE (-1023))) (|HasCategory| |#1| (QUOTE (-1070)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-4466 . T) (-4465 . T)) 
+((-2760 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2760 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2760 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2760 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1070))) (-12 (|HasCategory| |#1| (QUOTE (-1023))) (|HasCategory| |#1| (QUOTE (-1070)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
 (-1289) 
 ((|constructor| (NIL "TwoDimensionalViewport creates viewports to display graphs.")) (|coerce| (((|OutputForm|) $) "\\spad{coerce(v)} returns the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport} as output of the domain \\spadtype{OutputForm}.")) (|key| (((|Integer|) $) "\\spad{key(v)} returns the process ID number of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport}.")) (|reset| (((|Void|) $) "\\spad{reset(v)} sets the current state of the graph characteristics of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} back to their initial settings.")) (|write| (((|String|) $ (|String|) (|List| (|String|))) "\\spad{write(v,s,lf)} takes the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data files for \\spad{v} and the optional file types indicated by the list \\spad{lf}.") (((|String|) $ (|String|) (|String|)) "\\spad{write(v,s,f)} takes the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data files for \\spad{v} and an optional file type \\spad{f}.") (((|String|) $ (|String|)) "\\spad{write(v,s)} takes the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data files for \\spad{v}.")) (|resize| (((|Void|) $ (|PositiveInteger|) (|PositiveInteger|)) "\\spad{resize(v,w,h)} displays the two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with a width of \\spad{w} and a height of \\spad{h},{} keeping the upper left-hand corner position unchanged.")) (|update| (((|Void|) $ (|GraphImage|) (|PositiveInteger|)) "\\spad{update(v,gr,n)} drops the graph \\spad{gr} in slot \\spad{n} of viewport \\spad{v}. The graph \\spad{gr} must have been transmitted already and acquired an integer key.")) (|move| (((|Void|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{move(v,x,y)} displays the two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with the upper left-hand corner of the viewport window at the screen coordinate position \\spad{x},{} \\spad{y}.")) (|show| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{show(v,n,s)} displays the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the graph if \\spad{s} is \"off\".")) (|translate| (((|Void|) $ (|PositiveInteger|) (|Float|) (|Float|)) "\\spad{translate(v,n,dx,dy)} displays the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} translated by \\spad{dx} in the \\spad{x}-coordinate direction from the center of the viewport,{} and by \\spad{dy} in the \\spad{y}-coordinate direction from the center. Setting \\spad{dx} and \\spad{dy} to \\spad{0} places the center of the graph at the center of the viewport.")) (|scale| (((|Void|) $ (|PositiveInteger|) (|Float|) (|Float|)) "\\spad{scale(v,n,sx,sy)} displays the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} scaled by the factor \\spad{sx} in the \\spad{x}-coordinate direction and by the factor \\spad{sy} in the \\spad{y}-coordinate direction.")) (|dimensions| (((|Void|) $ (|NonNegativeInteger|) (|NonNegativeInteger|) (|PositiveInteger|) (|PositiveInteger|)) "\\spad{dimensions(v,x,y,width,height)} sets the position of the upper left-hand corner of the two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} to the window coordinate \\spad{x},{} \\spad{y},{} and sets the dimensions of the window to that of \\spad{width},{} \\spad{height}. The new dimensions are not displayed until the function \\spadfun{makeViewport2D} is executed again for \\spad{v}.")) (|close| (((|Void|) $) "\\spad{close(v)} closes the viewport window of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and terminates the corresponding process ID.")) (|controlPanel| (((|Void|) $ (|String|)) "\\spad{controlPanel(v,s)} displays the control panel of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or hides the control panel if \\spad{s} is \"off\".")) (|connect| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{connect(v,n,s)} displays the lines connecting the graph points in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the lines if \\spad{s} is \"off\".")) (|region| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{region(v,n,s)} displays the bounding box of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the bounding box if \\spad{s} is \"off\".")) (|points| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{points(v,n,s)} displays the points of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the points if \\spad{s} is \"off\".")) (|units| (((|Void|) $ (|PositiveInteger|) (|Palette|)) "\\spad{units(v,n,c)} displays the units of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with the units color set to the given palette color \\spad{c}.") (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{units(v,n,s)} displays the units of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the units if \\spad{s} is \"off\".")) (|axes| (((|Void|) $ (|PositiveInteger|) (|Palette|)) "\\spad{axes(v,n,c)} displays the axes of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with the axes color set to the given palette color \\spad{c}.") (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{axes(v,n,s)} displays the axes of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the axes if \\spad{s} is \"off\".")) (|getGraph| (((|GraphImage|) $ (|PositiveInteger|)) "\\spad{getGraph(v,n)} returns the graph which is of the domain \\spadtype{GraphImage} which is located in graph field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of the domain \\spadtype{TwoDimensionalViewport}.")) (|putGraph| (((|Void|) $ (|GraphImage|) (|PositiveInteger|)) "\\spad{putGraph(v,gi,n)} sets the graph field indicated by \\spad{n},{} of the indicated two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} to be the graph,{} \\spad{gi} of domain \\spadtype{GraphImage}. The contents of viewport,{} \\spad{v},{} will contain \\spad{gi} when the function \\spadfun{makeViewport2D} is called to create the an updated viewport \\spad{v}.")) (|title| (((|Void|) $ (|String|)) "\\spad{title(v,s)} changes the title which is shown in the two-dimensional viewport window,{} \\spad{v} of domain \\spadtype{TwoDimensionalViewport}.")) (|graphs| (((|Vector| (|Union| (|GraphImage|) "undefined")) $) "\\spad{graphs(v)} returns a vector,{} or list,{} which is a union of all the graphs,{} of the domain \\spadtype{GraphImage},{} which are allocated for the two-dimensional viewport,{} \\spad{v},{} of domain \\spadtype{TwoDimensionalViewport}. Those graphs which have no data are labeled \"undefined\",{} otherwise their contents are shown.")) (|graphStates| (((|Vector| (|Record| (|:| |scaleX| (|DoubleFloat|)) (|:| |scaleY| (|DoubleFloat|)) (|:| |deltaX| (|DoubleFloat|)) (|:| |deltaY| (|DoubleFloat|)) (|:| |points| (|Integer|)) (|:| |connect| (|Integer|)) (|:| |spline| (|Integer|)) (|:| |axes| (|Integer|)) (|:| |axesColor| (|Palette|)) (|:| |units| (|Integer|)) (|:| |unitsColor| (|Palette|)) (|:| |showing| (|Integer|)))) $) "\\spad{graphStates(v)} returns and shows a listing of a record containing the current state of the characteristics of each of the ten graph records in the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport}.")) (|graphState| (((|Void|) $ (|PositiveInteger|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Palette|) (|Integer|) (|Palette|) (|Integer|)) "\\spad{graphState(v,num,sX,sY,dX,dY,pts,lns,box,axes,axesC,un,unC,cP)} sets the state of the characteristics for the graph indicated by \\spad{num} in the given two-dimensional viewport \\spad{v},{} of domain \\spadtype{TwoDimensionalViewport},{} to the values given as parameters. The scaling of the graph in the \\spad{x} and \\spad{y} component directions is set to be \\spad{sX} and \\spad{sY}; the window translation in the \\spad{x} and \\spad{y} component directions is set to be \\spad{dX} and \\spad{dY}; The graph points,{} lines,{} bounding \\spad{box},{} \\spad{axes},{} or units will be shown in the viewport if their given parameters \\spad{pts},{} \\spad{lns},{} \\spad{box},{} \\spad{axes} or \\spad{un} are set to be \\spad{1},{} but will not be shown if they are set to \\spad{0}. The color of the \\spad{axes} and the color of the units are indicated by the palette colors \\spad{axesC} and \\spad{unC} respectively. To display the control panel when the viewport window is displayed,{} set \\spad{cP} to \\spad{1},{} otherwise set it to \\spad{0}.")) (|options| (($ $ (|List| (|DrawOption|))) "\\spad{options(v,lopt)} takes the given two-dimensional viewport,{} \\spad{v},{} of the domain \\spadtype{TwoDimensionalViewport} and returns \\spad{v} with it\\spad{'s} draw options modified to be those which are indicated in the given list,{} \\spad{lopt} of domain \\spadtype{DrawOption}.") (((|List| (|DrawOption|)) $) "\\spad{options(v)} takes the given two-dimensional viewport,{} \\spad{v},{} of the domain \\spadtype{TwoDimensionalViewport} and returns a list containing the draw options from the domain \\spadtype{DrawOption} for \\spad{v}.")) (|makeViewport2D| (($ (|GraphImage|) (|List| (|DrawOption|))) "\\spad{makeViewport2D(gi,lopt)} creates and displays a viewport window of the domain \\spadtype{TwoDimensionalViewport} whose graph field is assigned to be the given graph,{} \\spad{gi},{} of domain \\spadtype{GraphImage},{} and whose options field is set to be the list of options,{} \\spad{lopt} of domain \\spadtype{DrawOption}.") (($ $) "\\spad{makeViewport2D(v)} takes the given two-dimensional viewport,{} \\spad{v},{} of the domain \\spadtype{TwoDimensionalViewport} and displays a viewport window on the screen which contains the contents of \\spad{v}.")) (|viewport2D| (($) "\\spad{viewport2D()} returns an undefined two-dimensional viewport of the domain \\spadtype{TwoDimensionalViewport} whose contents are empty.")) (|getPickedPoints| (((|List| (|Point| (|DoubleFloat|))) $) "\\spad{getPickedPoints(x)} returns a list of small floats for the points the user interactively picked on the viewport for full integration into the system,{} some design issues need to be addressed: \\spadignore{e.g.} how to go through the GraphImage interface,{} how to default to graphs,{} etc."))) 
 NIL 
@@ -5110,13 +5110,13 @@ NIL
 NIL 
 (-1295 S) 
 ((|constructor| (NIL "Vector Spaces (not necessarily finite dimensional) over a field.")) (|dimension| (((|CardinalNumber|)) "\\spad{dimension()} returns the dimensionality of the vector space.")) (/ (($ $ |#1|) "\\spad{x/y} divides the vector \\spad{x} by the scalar \\spad{y}."))) 
-((-4459 . T) (-4458 . T)) 
+((-4460 . T) (-4459 . T)) 
 NIL 
 (-1296 R) 
 ((|constructor| (NIL "This package implements the Weierstrass preparation theorem \\spad{f} or multivariate power series. weierstrass(\\spad{v},{}\\spad{p}) where \\spad{v} is a variable,{} and \\spad{p} is a TaylorSeries(\\spad{R}) in which the terms of lowest degree \\spad{s} must include c*v**s where \\spad{c} is a constant,{}\\spad{s>0},{} is a list of TaylorSeries coefficients A[\\spad{i}] of the equivalent polynomial A = A[0] + A[1]\\spad{*v} + A[2]*v**2 + ... + A[\\spad{s}-1]*v**(\\spad{s}-1) + v**s such that p=A*B ,{} \\spad{B} being a TaylorSeries of minimum degree 0")) (|qqq| (((|Mapping| (|Stream| (|TaylorSeries| |#1|)) (|Stream| (|TaylorSeries| |#1|))) (|NonNegativeInteger|) (|TaylorSeries| |#1|) (|Stream| (|TaylorSeries| |#1|))) "\\spad{qqq(n,s,st)} is used internally.")) (|weierstrass| (((|List| (|TaylorSeries| |#1|)) (|Symbol|) (|TaylorSeries| |#1|)) "\\spad{weierstrass(v,ts)} where \\spad{v} is a variable and \\spad{ts} is \\indented{1}{a TaylorSeries,{} impements the Weierstrass Preparation} \\indented{1}{Theorem. The result is a list of TaylorSeries that} \\indented{1}{are the coefficients of the equivalent series.}")) (|clikeUniv| (((|Mapping| (|SparseUnivariatePolynomial| (|Polynomial| |#1|)) (|Polynomial| |#1|)) (|Symbol|)) "\\spad{clikeUniv(v)} is used internally.")) (|sts2stst| (((|Stream| (|Stream| (|Polynomial| |#1|))) (|Symbol|) (|Stream| (|Polynomial| |#1|))) "\\spad{sts2stst(v,s)} is used internally.")) (|cfirst| (((|Mapping| (|Stream| (|Polynomial| |#1|)) (|Stream| (|Polynomial| |#1|))) (|NonNegativeInteger|)) "\\spad{cfirst n} is used internally.")) (|crest| (((|Mapping| (|Stream| (|Polynomial| |#1|)) (|Stream| (|Polynomial| |#1|))) (|NonNegativeInteger|)) "\\spad{crest n} is used internally."))) 
 NIL 
 NIL 
-(-1297 K R UP -1959) 
+(-1297 K R UP -1962) 
 ((|constructor| (NIL "In this package \\spad{K} is a finite field,{} \\spad{R} is a ring of univariate polynomials over \\spad{K},{} and \\spad{F} is a framed algebra over \\spad{R}. The package provides a function to compute the integral closure of \\spad{R} in the quotient field of \\spad{F} as well as a function to compute a \"local integral basis\" at a specific prime.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) |#2|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the integral closure of \\spad{R} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}."))) 
 NIL 
 NIL 
@@ -5130,56 +5130,56 @@ NIL
 NIL 
 (-1300 R |VarSet| E P |vl| |wl| |wtlevel|) 
 ((|constructor| (NIL "This domain represents truncated weighted polynomials over a general (not necessarily commutative) polynomial type. The variables must be specified,{} as must the weights. The representation is sparse in the sense that only non-zero terms are represented.")) (|changeWeightLevel| (((|Void|) (|NonNegativeInteger|)) "\\spad{changeWeightLevel(n)} changes the weight level to the new value given: \\spad{NB:} previously calculated terms are not affected")) (/ (((|Union| $ "failed") $ $) "\\spad{x/y} division (only works if minimum weight of divisor is zero,{} and if \\spad{R} is a Field)"))) 
-((-4459 |has| |#1| (-174)) (-4458 |has| |#1| (-174)) (-4461 . T)) 
+((-4460 |has| |#1| (-174)) (-4459 |has| |#1| (-174)) (-4462 . T)) 
 ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374)))) 
 (-1301 R E V P) 
 ((|constructor| (NIL "A domain constructor of the category \\axiomType{GeneralTriangularSet}. The only requirement for a list of polynomials to be a member of such a domain is the following: no polynomial is constant and two distinct polynomials have distinct main variables. Such a triangular set may not be auto-reduced or consistent. The \\axiomOpFrom{construct}{WuWenTsunTriangularSet} operation does not check the previous requirement. Triangular sets are stored as sorted lists \\spad{w}.\\spad{r}.\\spad{t}. the main variables of their members. Furthermore,{} this domain exports operations dealing with the characteristic set method of Wu Wen Tsun and some optimizations mainly proposed by Dong Ming Wang.\\newline References : \\indented{1}{[1] \\spad{W}. \\spad{T}. WU \"A Zero Structure Theorem for polynomial equations solving\"} \\indented{6}{\\spad{MM} Research Preprints,{} 1987.} \\indented{1}{[2] \\spad{D}. \\spad{M}. WANG \"An implementation of the characteristic set method in Maple\"} \\indented{6}{Proc. DISCO'92. Bath,{} England.}")) (|characteristicSerie| (((|List| $) (|List| |#4|)) "\\axiom{characteristicSerie(\\spad{ps})} returns the same as \\axiom{characteristicSerie(\\spad{ps},{}initiallyReduced?,{}initiallyReduce)}.") (((|List| $) (|List| |#4|) (|Mapping| (|Boolean|) |#4| |#4|) (|Mapping| |#4| |#4| |#4|)) "\\axiom{characteristicSerie(\\spad{ps},{}redOp?,{}redOp)} returns a list \\axiom{\\spad{lts}} of triangular sets such that the zero set of \\axiom{\\spad{ps}} is the union of the regular zero sets of the members of \\axiom{\\spad{lts}}. This is made by the Ritt and Wu Wen Tsun process applying the operation \\axiom{characteristicSet(\\spad{ps},{}redOp?,{}redOp)} to compute characteristic sets in Wu Wen Tsun sense.")) (|characteristicSet| (((|Union| $ "failed") (|List| |#4|)) "\\axiom{characteristicSet(\\spad{ps})} returns the same as \\axiom{characteristicSet(\\spad{ps},{}initiallyReduced?,{}initiallyReduce)}.") (((|Union| $ "failed") (|List| |#4|) (|Mapping| (|Boolean|) |#4| |#4|) (|Mapping| |#4| |#4| |#4|)) "\\axiom{characteristicSet(\\spad{ps},{}redOp?,{}redOp)} returns a non-contradictory characteristic set of \\axiom{\\spad{ps}} in Wu Wen Tsun sense \\spad{w}.\\spad{r}.\\spad{t} the reduction-test \\axiom{redOp?} (using \\axiom{redOp} to reduce polynomials \\spad{w}.\\spad{r}.\\spad{t} a \\axiom{redOp?} basic set),{} if no non-zero constant polynomial appear during those reductions,{} else \\axiom{\"failed\"} is returned. The operations \\axiom{redOp} and \\axiom{redOp?} must satisfy the following conditions: \\axiom{redOp?(redOp(\\spad{p},{}\\spad{q}),{}\\spad{q})} holds for every polynomials \\axiom{\\spad{p},{}\\spad{q}} and there exists an integer \\axiom{\\spad{e}} and a polynomial \\axiom{\\spad{f}} such that we have \\axiom{init(\\spad{q})^e*p = \\spad{f*q} + redOp(\\spad{p},{}\\spad{q})}.")) (|medialSet| (((|Union| $ "failed") (|List| |#4|)) "\\axiom{medial(\\spad{ps})} returns the same as \\axiom{medialSet(\\spad{ps},{}initiallyReduced?,{}initiallyReduce)}.") (((|Union| $ "failed") (|List| |#4|) (|Mapping| (|Boolean|) |#4| |#4|) (|Mapping| |#4| |#4| |#4|)) "\\axiom{medialSet(\\spad{ps},{}redOp?,{}redOp)} returns \\axiom{\\spad{bs}} a basic set (in Wu Wen Tsun sense \\spad{w}.\\spad{r}.\\spad{t} the reduction-test \\axiom{redOp?}) of some set generating the same ideal as \\axiom{\\spad{ps}} (with rank not higher than any basic set of \\axiom{\\spad{ps}}),{} if no non-zero constant polynomials appear during the computatioms,{} else \\axiom{\"failed\"} is returned. In the former case,{} \\axiom{\\spad{bs}} has to be understood as a candidate for being a characteristic set of \\axiom{\\spad{ps}}. In the original algorithm,{} \\axiom{\\spad{bs}} is simply a basic set of \\axiom{\\spad{ps}}."))) 
-((-4465 . T) (-4464 . T)) 
+((-4466 . T) (-4465 . T)) 
 ((-12 (|HasCategory| |#4| (QUOTE (-1121))) (|HasCategory| |#4| (LIST (QUOTE -319) (|devaluate| |#4|)))) (|HasCategory| |#4| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#4| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#3| (QUOTE (-379))) (|HasCategory| |#4| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#4| (QUOTE (-102)))) 
 (-1302 R) 
 ((|constructor| (NIL "This is the category of algebras over non-commutative rings. It is used by constructors of non-commutative algebras such as: \\indented{4}{\\spadtype{XPolynomialRing}.} \\indented{4}{\\spadtype{XFreeAlgebra}} Author: Michel Petitot (petitot@lifl.\\spad{fr})"))) 
-((-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-1303 |vl| R) 
 ((|constructor| (NIL "\\indented{2}{This type supports distributed multivariate polynomials} whose variables do not commute. The coefficient ring may be non-commutative too. However,{} coefficients and variables commute."))) 
-((-4461 . T) (-4457 |has| |#2| (-6 -4457)) (-4459 . T) (-4458 . T)) 
-((|HasCategory| |#2| (QUOTE (-174))) (|HasAttribute| |#2| (QUOTE -4457))) 
+((-4462 . T) (-4458 |has| |#2| (-6 -4458)) (-4460 . T) (-4459 . T)) 
+((|HasCategory| |#2| (QUOTE (-174))) (|HasAttribute| |#2| (QUOTE -4458))) 
 (-1304 R |VarSet| XPOLY) 
 ((|constructor| (NIL "This package provides computations of logarithms and exponentials for polynomials in non-commutative variables. \\newline Author: Michel Petitot (petitot@lifl.\\spad{fr}).")) (|Hausdorff| ((|#3| |#3| |#3| (|NonNegativeInteger|)) "\\axiom{Hausdorff(a,{}\\spad{b},{}\\spad{n})} returns log(exp(a)*exp(\\spad{b})) truncated at order \\axiom{\\spad{n}}.")) (|log| ((|#3| |#3| (|NonNegativeInteger|)) "\\axiom{log(\\spad{p},{} \\spad{n})} returns the logarithm of \\axiom{\\spad{p}} truncated at order \\axiom{\\spad{n}}.")) (|exp| ((|#3| |#3| (|NonNegativeInteger|)) "\\axiom{exp(\\spad{p},{} \\spad{n})} returns the exponential of \\axiom{\\spad{p}} truncated at order \\axiom{\\spad{n}}."))) 
 NIL 
 NIL 
 (-1305 |vl| R) 
 ((|constructor| (NIL "This category specifies opeations for polynomials and formal series with non-commutative variables.")) (|varList| (((|List| |#1|) $) "\\spad{varList(x)} returns the list of variables which appear in \\spad{x}.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(fn,x)} returns \\spad{Sum(fn(r_i) w_i)} if \\spad{x} writes \\spad{Sum(r_i w_i)}.")) (|sh| (($ $ (|NonNegativeInteger|)) "\\spad{sh(x,n)} returns the shuffle power of \\spad{x} to the \\spad{n}.") (($ $ $) "\\spad{sh(x,y)} returns the shuffle-product of \\spad{x} by \\spad{y}. This multiplication is associative and commutative.")) (|quasiRegular| (($ $) "\\spad{quasiRegular(x)} return \\spad{x} minus its constant term.")) (|quasiRegular?| (((|Boolean|) $) "\\spad{quasiRegular?(x)} return \\spad{true} if \\spad{constant(x)} is zero.")) (|constant| ((|#2| $) "\\spad{constant(x)} returns the constant term of \\spad{x}.")) (|constant?| (((|Boolean|) $) "\\spad{constant?(x)} returns \\spad{true} if \\spad{x} is constant.")) (|coerce| (($ |#1|) "\\spad{coerce(v)} returns \\spad{v}.")) (|mirror| (($ $) "\\spad{mirror(x)} returns \\spad{Sum(r_i mirror(w_i))} if \\spad{x} writes \\spad{Sum(r_i w_i)}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(x)} returns \\spad{true} if \\spad{x} is a monomial")) (|monom| (($ (|OrderedFreeMonoid| |#1|) |#2|) "\\spad{monom(w,r)} returns the product of the word \\spad{w} by the coefficient \\spad{r}.")) (|rquo| (($ $ $) "\\spad{rquo(x,y)} returns the right simplification of \\spad{x} by \\spad{y}.") (($ $ (|OrderedFreeMonoid| |#1|)) "\\spad{rquo(x,w)} returns the right simplification of \\spad{x} by \\spad{w}.") (($ $ |#1|) "\\spad{rquo(x,v)} returns the right simplification of \\spad{x} by the variable \\spad{v}.")) (|lquo| (($ $ $) "\\spad{lquo(x,y)} returns the left simplification of \\spad{x} by \\spad{y}.") (($ $ (|OrderedFreeMonoid| |#1|)) "\\spad{lquo(x,w)} returns the left simplification of \\spad{x} by the word \\spad{w}.") (($ $ |#1|) "\\spad{lquo(x,v)} returns the left simplification of \\spad{x} by the variable \\spad{v}.")) (|coef| ((|#2| $ $) "\\spad{coef(x,y)} returns scalar product of \\spad{x} by \\spad{y},{} the set of words being regarded as an orthogonal basis.") ((|#2| $ (|OrderedFreeMonoid| |#1|)) "\\spad{coef(x,w)} returns the coefficient of the word \\spad{w} in \\spad{x}.")) (|mindegTerm| (((|Record| (|:| |k| (|OrderedFreeMonoid| |#1|)) (|:| |c| |#2|)) $) "\\spad{mindegTerm(x)} returns the term whose word is \\spad{mindeg(x)}.")) (|mindeg| (((|OrderedFreeMonoid| |#1|) $) "\\spad{mindeg(x)} returns the little word which appears in \\spad{x}. Error if \\spad{x=0}.")) (* (($ $ |#2|) "\\spad{x * r} returns the product of \\spad{x} by \\spad{r}. Usefull if \\spad{R} is a non-commutative Ring.") (($ |#1| $) "\\spad{v * x} returns the product of a variable \\spad{x} by \\spad{x}."))) 
-((-4457 |has| |#2| (-6 -4457)) (-4459 . T) (-4458 . T) (-4461 . T)) 
+((-4458 |has| |#2| (-6 -4458)) (-4460 . T) (-4459 . T) (-4462 . T)) 
 NIL 
-(-1306 S -1959) 
+(-1306 S -1962) 
 ((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|NonNegativeInteger|)) "\\spad{Frobenius(a,s)} returns \\spad{a**(q**s)} where \\spad{q} is the size()\\$\\spad{F}.") (($ $) "\\spad{Frobenius(a)} returns \\spad{a ** q} where \\spad{q} is the \\spad{size()\\$F}.")) (|transcendenceDegree| (((|NonNegativeInteger|)) "\\spad{transcendenceDegree()} returns the transcendence degree of the field extension,{} 0 if the extension is algebraic.")) (|extensionDegree| (((|OnePointCompletion| (|PositiveInteger|))) "\\spad{extensionDegree()} returns the degree of the field extension if the extension is algebraic,{} and \\spad{infinity} if it is not.")) (|degree| (((|OnePointCompletion| (|PositiveInteger|)) $) "\\spad{degree(a)} returns the degree of minimal polynomial of an element \\spad{a} if \\spad{a} is algebraic with respect to the ground field \\spad{F},{} and \\spad{infinity} otherwise.")) (|inGroundField?| (((|Boolean|) $) "\\spad{inGroundField?(a)} tests whether an element \\spad{a} is already in the ground field \\spad{F}.")) (|transcendent?| (((|Boolean|) $) "\\spad{transcendent?(a)} tests whether an element \\spad{a} is transcendent with respect to the ground field \\spad{F}.")) (|algebraic?| (((|Boolean|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}."))) 
 NIL 
 ((|HasCategory| |#2| (QUOTE (-379))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148)))) 
-(-1307 -1959) 
+(-1307 -1962) 
 ((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|NonNegativeInteger|)) "\\spad{Frobenius(a,s)} returns \\spad{a**(q**s)} where \\spad{q} is the size()\\$\\spad{F}.") (($ $) "\\spad{Frobenius(a)} returns \\spad{a ** q} where \\spad{q} is the \\spad{size()\\$F}.")) (|transcendenceDegree| (((|NonNegativeInteger|)) "\\spad{transcendenceDegree()} returns the transcendence degree of the field extension,{} 0 if the extension is algebraic.")) (|extensionDegree| (((|OnePointCompletion| (|PositiveInteger|))) "\\spad{extensionDegree()} returns the degree of the field extension if the extension is algebraic,{} and \\spad{infinity} if it is not.")) (|degree| (((|OnePointCompletion| (|PositiveInteger|)) $) "\\spad{degree(a)} returns the degree of minimal polynomial of an element \\spad{a} if \\spad{a} is algebraic with respect to the ground field \\spad{F},{} and \\spad{infinity} otherwise.")) (|inGroundField?| (((|Boolean|) $) "\\spad{inGroundField?(a)} tests whether an element \\spad{a} is already in the ground field \\spad{F}.")) (|transcendent?| (((|Boolean|) $) "\\spad{transcendent?(a)} tests whether an element \\spad{a} is transcendent with respect to the ground field \\spad{F}.")) (|algebraic?| (((|Boolean|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}."))) 
-((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+((-4457 . T) (-4463 . T) (-4458 . T) ((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 (-1308 |VarSet| R) 
 ((|constructor| (NIL "This domain constructor implements polynomials in non-commutative variables written in the Poincare-Birkhoff-Witt basis from the Lyndon basis. These polynomials can be used to compute Baker-Campbell-Hausdorff relations. \\newline Author: Michel Petitot (petitot@lifl.\\spad{fr}).")) (|log| (($ $ (|NonNegativeInteger|)) "\\axiom{log(\\spad{p},{}\\spad{n})} returns the logarithm of \\axiom{\\spad{p}} (truncated up to order \\axiom{\\spad{n}}).")) (|exp| (($ $ (|NonNegativeInteger|)) "\\axiom{exp(\\spad{p},{}\\spad{n})} returns the exponential of \\axiom{\\spad{p}} (truncated up to order \\axiom{\\spad{n}}).")) (|product| (($ $ $ (|NonNegativeInteger|)) "\\axiom{product(a,{}\\spad{b},{}\\spad{n})} returns \\axiom{a*b} (truncated up to order \\axiom{\\spad{n}}).")) (|LiePolyIfCan| (((|Union| (|LiePolynomial| |#1| |#2|) "failed") $) "\\axiom{LiePolyIfCan(\\spad{p})} return \\axiom{\\spad{p}} if \\axiom{\\spad{p}} is a Lie polynomial.")) (|coerce| (((|XRecursivePolynomial| |#1| |#2|) $) "\\axiom{coerce(\\spad{p})} returns \\axiom{\\spad{p}} as a recursive polynomial.") (((|XDistributedPolynomial| |#1| |#2|) $) "\\axiom{coerce(\\spad{p})} returns \\axiom{\\spad{p}} as a distributed polynomial.") (($ (|LiePolynomial| |#1| |#2|)) "\\axiom{coerce(\\spad{p})} returns \\axiom{\\spad{p}}."))) 
-((-4457 |has| |#2| (-6 -4457)) (-4459 . T) (-4458 . T) (-4461 . T)) 
-((|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (LIST (QUOTE -729) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasAttribute| |#2| (QUOTE -4457))) 
+((-4458 |has| |#2| (-6 -4458)) (-4460 . T) (-4459 . T) (-4462 . T)) 
+((|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (LIST (QUOTE -729) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasAttribute| |#2| (QUOTE -4458))) 
 (-1309 |vl| R) 
 ((|constructor| (NIL "The Category of polynomial rings with non-commutative variables. The coefficient ring may be non-commutative too. However coefficients commute with vaiables.")) (|trunc| (($ $ (|NonNegativeInteger|)) "\\spad{trunc(p,n)} returns the polynomial \\spad{p} truncated at order \\spad{n}.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(p)} returns the degree of \\spad{p}. \\indented{1}{Note that the degree of a word is its length.}")) (|maxdeg| (((|OrderedFreeMonoid| |#1|) $) "\\spad{maxdeg(p)} returns the greatest leading word in the support of \\spad{p}."))) 
-((-4457 |has| |#2| (-6 -4457)) (-4459 . T) (-4458 . T) (-4461 . T)) 
+((-4458 |has| |#2| (-6 -4458)) (-4460 . T) (-4459 . T) (-4462 . T)) 
 NIL 
 (-1310 R) 
 ((|constructor| (NIL "\\indented{2}{This type supports multivariate polynomials} whose set of variables is \\spadtype{Symbol}. The representation is recursive. The coefficient ring may be non-commutative and the variables do not commute. However,{} coefficients and variables commute."))) 
-((-4457 |has| |#1| (-6 -4457)) (-4459 . T) (-4458 . T) (-4461 . T)) 
-((|HasCategory| |#1| (QUOTE (-174))) (|HasAttribute| |#1| (QUOTE -4457))) 
+((-4458 |has| |#1| (-6 -4458)) (-4460 . T) (-4459 . T) (-4462 . T)) 
+((|HasCategory| |#1| (QUOTE (-174))) (|HasAttribute| |#1| (QUOTE -4458))) 
 (-1311 R E) 
 ((|constructor| (NIL "This domain represents generalized polynomials with coefficients (from a not necessarily commutative ring),{} and words belonging to an arbitrary \\spadtype{OrderedMonoid}. This type is used,{} for instance,{} by the \\spadtype{XDistributedPolynomial} domain constructor where the Monoid is free.")) (|canonicalUnitNormal| ((|attribute|) "canonicalUnitNormal guarantees that the function unitCanonical returns the same representative for all associates of any particular element.")) (/ (($ $ |#1|) "\\spad{p/r} returns \\spad{p*(1/r)}.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(fn,x)} returns \\spad{Sum(fn(r_i) w_i)} if \\spad{x} writes \\spad{Sum(r_i w_i)}.")) (|quasiRegular| (($ $) "\\spad{quasiRegular(x)} return \\spad{x} minus its constant term.")) (|quasiRegular?| (((|Boolean|) $) "\\spad{quasiRegular?(x)} return \\spad{true} if \\spad{constant(p)} is zero.")) (|constant| ((|#1| $) "\\spad{constant(p)} return the constant term of \\spad{p}.")) (|constant?| (((|Boolean|) $) "\\spad{constant?(p)} tests whether the polynomial \\spad{p} belongs to the coefficient ring.")) (|coef| ((|#1| $ |#2|) "\\spad{coef(p,e)} extracts the coefficient of the monomial \\spad{e}. Returns zero if \\spad{e} is not present.")) (|reductum| (($ $) "\\spad{reductum(p)} returns \\spad{p} minus its leading term. An error is produced if \\spad{p} is zero.")) (|mindeg| ((|#2| $) "\\spad{mindeg(p)} returns the smallest word occurring in the polynomial \\spad{p} with a non-zero coefficient. An error is produced if \\spad{p} is zero.")) (|maxdeg| ((|#2| $) "\\spad{maxdeg(p)} returns the greatest word occurring in the polynomial \\spad{p} with a non-zero coefficient. An error is produced if \\spad{p} is zero.")) (|#| (((|NonNegativeInteger|) $) "\\spad{\\# p} returns the number of terms in \\spad{p}.")) (* (($ $ |#1|) "\\spad{p*r} returns the product of \\spad{p} by \\spad{r}."))) 
-((-4461 . T) (-4462 |has| |#1| (-6 -4462)) (-4457 |has| |#1| (-6 -4457)) (-4459 . T) (-4458 . T)) 
-((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4461)) (|HasAttribute| |#1| (QUOTE -4462)) (|HasAttribute| |#1| (QUOTE -4457))) 
+((-4462 . T) (-4463 |has| |#1| (-6 -4463)) (-4458 |has| |#1| (-6 -4458)) (-4460 . T) (-4459 . T)) 
+((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4462)) (|HasAttribute| |#1| (QUOTE -4463)) (|HasAttribute| |#1| (QUOTE -4458))) 
 (-1312 |VarSet| R) 
 ((|constructor| (NIL "\\indented{2}{This type supports multivariate polynomials} whose variables do not commute. The representation is recursive. The coefficient ring may be non-commutative. Coefficients and variables commute.")) (|RemainderList| (((|List| (|Record| (|:| |k| |#1|) (|:| |c| $))) $) "\\spad{RemainderList(p)} returns the regular part of \\spad{p} as a list of terms.")) (|unexpand| (($ (|XDistributedPolynomial| |#1| |#2|)) "\\spad{unexpand(p)} returns \\spad{p} in recursive form.")) (|expand| (((|XDistributedPolynomial| |#1| |#2|) $) "\\spad{expand(p)} returns \\spad{p} in distributed form."))) 
-((-4457 |has| |#2| (-6 -4457)) (-4459 . T) (-4458 . T) (-4461 . T)) 
-((|HasCategory| |#2| (QUOTE (-174))) (|HasAttribute| |#2| (QUOTE -4457))) 
+((-4458 |has| |#2| (-6 -4458)) (-4460 . T) (-4459 . T) (-4462 . T)) 
+((|HasCategory| |#2| (QUOTE (-174))) (|HasAttribute| |#2| (QUOTE -4458))) 
 (-1313) 
 ((|constructor| (NIL "This domain provides representations of Young diagrams.")) (|shape| (((|Partition|) $) "\\spad{shape x} returns the partition shaping \\spad{x}.")) (|youngDiagram| (($ (|List| (|PositiveInteger|))) "\\spad{youngDiagram l} returns an object representing a Young diagram with shape given by the list of integers \\spad{l}"))) 
 NIL 
@@ -5198,7 +5198,7 @@ NIL
 NIL 
 (-1317 |p|) 
 ((|constructor| (NIL "IntegerMod(\\spad{n}) creates the ring of integers reduced modulo the integer \\spad{n}."))) 
-(((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) 
+(((-4467 "*") . T) (-4459 . T) (-4460 . T) (-4462 . T)) 
 NIL 
 NIL 
 NIL 
@@ -5216,4 +5216,4 @@ NIL
 NIL 
 NIL 
 NIL 
-((-3 NIL 2293737 2293742 2293747 2293752) (-2 NIL 2293717 2293722 2293727 2293732) (-1 NIL 2293697 2293702 2293707 2293712) (0 NIL 2293677 2293682 2293687 2293692) (-1317 "ZMOD.spad" 2293486 2293499 2293615 2293672) (-1316 "ZLINDEP.spad" 2292552 2292563 2293476 2293481) (-1315 "ZDSOLVE.spad" 2282497 2282519 2292542 2292547) (-1314 "YSTREAM.spad" 2281992 2282003 2282487 2282492) (-1313 "YDIAGRAM.spad" 2281626 2281635 2281982 2281987) (-1312 "XRPOLY.spad" 2280846 2280866 2281482 2281551) (-1311 "XPR.spad" 2278641 2278654 2280564 2280663) (-1310 "XPOLY.spad" 2278196 2278207 2278497 2278566) (-1309 "XPOLYC.spad" 2277515 2277531 2278122 2278191) (-1308 "XPBWPOLY.spad" 2275952 2275972 2277295 2277364) (-1307 "XF.spad" 2274415 2274430 2275854 2275947) (-1306 "XF.spad" 2272858 2272875 2274299 2274304) (-1305 "XFALG.spad" 2269906 2269922 2272784 2272853) (-1304 "XEXPPKG.spad" 2269157 2269183 2269896 2269901) (-1303 "XDPOLY.spad" 2268771 2268787 2269013 2269082) (-1302 "XALG.spad" 2268431 2268442 2268727 2268766) (-1301 "WUTSET.spad" 2264234 2264251 2268041 2268068) (-1300 "WP.spad" 2263433 2263477 2264092 2264159) (-1299 "WHILEAST.spad" 2263231 2263240 2263423 2263428) (-1298 "WHEREAST.spad" 2262902 2262911 2263221 2263226) (-1297 "WFFINTBS.spad" 2260565 2260587 2262892 2262897) (-1296 "WEIER.spad" 2258787 2258798 2260555 2260560) (-1295 "VSPACE.spad" 2258460 2258471 2258755 2258782) (-1294 "VSPACE.spad" 2258153 2258166 2258450 2258455) (-1293 "VOID.spad" 2257830 2257839 2258143 2258148) (-1292 "VIEW.spad" 2255510 2255519 2257820 2257825) (-1291 "VIEWDEF.spad" 2250711 2250720 2255500 2255505) (-1290 "VIEW3D.spad" 2234672 2234681 2250701 2250706) (-1289 "VIEW2D.spad" 2222563 2222572 2234662 2234667) (-1288 "VECTOR.spad" 2221084 2221095 2221335 2221362) (-1287 "VECTOR2.spad" 2219723 2219736 2221074 2221079) (-1286 "VECTCAT.spad" 2217627 2217638 2219691 2219718) (-1285 "VECTCAT.spad" 2215338 2215351 2217404 2217409) (-1284 "VARIABLE.spad" 2215118 2215133 2215328 2215333) (-1283 "UTYPE.spad" 2214762 2214771 2215108 2215113) (-1282 "UTSODETL.spad" 2214057 2214081 2214718 2214723) (-1281 "UTSODE.spad" 2212273 2212293 2214047 2214052) (-1280 "UTS.spad" 2207220 2207248 2210740 2210837) (-1279 "UTSCAT.spad" 2204699 2204715 2207118 2207215) (-1278 "UTSCAT.spad" 2201822 2201840 2204243 2204248) (-1277 "UTS2.spad" 2201417 2201452 2201812 2201817) (-1276 "URAGG.spad" 2196090 2196101 2201407 2201412) (-1275 "URAGG.spad" 2190727 2190740 2196046 2196051) (-1274 "UPXSSING.spad" 2188372 2188398 2189808 2189941) (-1273 "UPXS.spad" 2185668 2185696 2186504 2186653) (-1272 "UPXSCONS.spad" 2183427 2183447 2183800 2183949) (-1271 "UPXSCCA.spad" 2181998 2182018 2183273 2183422) (-1270 "UPXSCCA.spad" 2180711 2180733 2181988 2181993) (-1269 "UPXSCAT.spad" 2179300 2179316 2180557 2180706) (-1268 "UPXS2.spad" 2178843 2178896 2179290 2179295) (-1267 "UPSQFREE.spad" 2177257 2177271 2178833 2178838) (-1266 "UPSCAT.spad" 2175044 2175068 2177155 2177252) (-1265 "UPSCAT.spad" 2172537 2172563 2174650 2174655) (-1264 "UPOLYC.spad" 2167577 2167588 2172379 2172532) (-1263 "UPOLYC.spad" 2162509 2162522 2167313 2167318) (-1262 "UPOLYC2.spad" 2161980 2161999 2162499 2162504) (-1261 "UP.spad" 2159086 2159101 2159473 2159626) (-1260 "UPMP.spad" 2157986 2157999 2159076 2159081) (-1259 "UPDIVP.spad" 2157551 2157565 2157976 2157981) (-1258 "UPDECOMP.spad" 2155796 2155810 2157541 2157546) (-1257 "UPCDEN.spad" 2155005 2155021 2155786 2155791) (-1256 "UP2.spad" 2154369 2154390 2154995 2155000) (-1255 "UNISEG.spad" 2153722 2153733 2154288 2154293) (-1254 "UNISEG2.spad" 2153219 2153232 2153678 2153683) (-1253 "UNIFACT.spad" 2152322 2152334 2153209 2153214) (-1252 "ULS.spad" 2142106 2142134 2143051 2143480) (-1251 "ULSCONS.spad" 2133240 2133260 2133610 2133759) (-1250 "ULSCCAT.spad" 2130977 2130997 2133086 2133235) (-1249 "ULSCCAT.spad" 2128822 2128844 2130933 2130938) (-1248 "ULSCAT.spad" 2127054 2127070 2128668 2128817) (-1247 "ULS2.spad" 2126568 2126621 2127044 2127049) (-1246 "UINT8.spad" 2126445 2126454 2126558 2126563) (-1245 "UINT64.spad" 2126321 2126330 2126435 2126440) (-1244 "UINT32.spad" 2126197 2126206 2126311 2126316) (-1243 "UINT16.spad" 2126073 2126082 2126187 2126192) (-1242 "UFD.spad" 2125138 2125147 2125999 2126068) (-1241 "UFD.spad" 2124265 2124276 2125128 2125133) (-1240 "UDVO.spad" 2123146 2123155 2124255 2124260) (-1239 "UDPO.spad" 2120639 2120650 2123102 2123107) (-1238 "TYPE.spad" 2120571 2120580 2120629 2120634) (-1237 "TYPEAST.spad" 2120490 2120499 2120561 2120566) (-1236 "TWOFACT.spad" 2119142 2119157 2120480 2120485) (-1235 "TUPLE.spad" 2118628 2118639 2119041 2119046) (-1234 "TUBETOOL.spad" 2115495 2115504 2118618 2118623) (-1233 "TUBE.spad" 2114142 2114159 2115485 2115490) (-1232 "TS.spad" 2112741 2112757 2113707 2113804) (-1231 "TSETCAT.spad" 2099868 2099885 2112709 2112736) (-1230 "TSETCAT.spad" 2086981 2087000 2099824 2099829) (-1229 "TRMANIP.spad" 2081347 2081364 2086687 2086692) (-1228 "TRIMAT.spad" 2080310 2080335 2081337 2081342) (-1227 "TRIGMNIP.spad" 2078837 2078854 2080300 2080305) (-1226 "TRIGCAT.spad" 2078349 2078358 2078827 2078832) (-1225 "TRIGCAT.spad" 2077859 2077870 2078339 2078344) (-1224 "TREE.spad" 2076317 2076328 2077349 2077376) (-1223 "TRANFUN.spad" 2076156 2076165 2076307 2076312) (-1222 "TRANFUN.spad" 2075993 2076004 2076146 2076151) (-1221 "TOPSP.spad" 2075667 2075676 2075983 2075988) (-1220 "TOOLSIGN.spad" 2075330 2075341 2075657 2075662) (-1219 "TEXTFILE.spad" 2073891 2073900 2075320 2075325) (-1218 "TEX.spad" 2071037 2071046 2073881 2073886) (-1217 "TEX1.spad" 2070593 2070604 2071027 2071032) (-1216 "TEMUTL.spad" 2070148 2070157 2070583 2070588) (-1215 "TBCMPPK.spad" 2068241 2068264 2070138 2070143) (-1214 "TBAGG.spad" 2067291 2067314 2068221 2068236) (-1213 "TBAGG.spad" 2066349 2066374 2067281 2067286) (-1212 "TANEXP.spad" 2065757 2065768 2066339 2066344) (-1211 "TALGOP.spad" 2065481 2065492 2065747 2065752) (-1210 "TABLE.spad" 2063450 2063473 2063720 2063747) (-1209 "TABLEAU.spad" 2062931 2062942 2063440 2063445) (-1208 "TABLBUMP.spad" 2059734 2059745 2062921 2062926) (-1207 "SYSTEM.spad" 2058962 2058971 2059724 2059729) (-1206 "SYSSOLP.spad" 2056445 2056456 2058952 2058957) (-1205 "SYSPTR.spad" 2056344 2056353 2056435 2056440) (-1204 "SYSNNI.spad" 2055526 2055537 2056334 2056339) (-1203 "SYSINT.spad" 2054930 2054941 2055516 2055521) (-1202 "SYNTAX.spad" 2051136 2051145 2054920 2054925) (-1201 "SYMTAB.spad" 2049204 2049213 2051126 2051131) (-1200 "SYMS.spad" 2045227 2045236 2049194 2049199) (-1199 "SYMPOLY.spad" 2044234 2044245 2044316 2044443) (-1198 "SYMFUNC.spad" 2043735 2043746 2044224 2044229) (-1197 "SYMBOL.spad" 2041238 2041247 2043725 2043730) (-1196 "SWITCH.spad" 2038009 2038018 2041228 2041233) (-1195 "SUTS.spad" 2035057 2035085 2036476 2036573) (-1194 "SUPXS.spad" 2032340 2032368 2033189 2033338) (-1193 "SUP.spad" 2029060 2029071 2029833 2029986) (-1192 "SUPFRACF.spad" 2028165 2028183 2029050 2029055) (-1191 "SUP2.spad" 2027557 2027570 2028155 2028160) (-1190 "SUMRF.spad" 2026531 2026542 2027547 2027552) (-1189 "SUMFS.spad" 2026168 2026185 2026521 2026526) (-1188 "SULS.spad" 2015939 2015967 2016897 2017326) (-1187 "SUCHTAST.spad" 2015708 2015717 2015929 2015934) (-1186 "SUCH.spad" 2015390 2015405 2015698 2015703) (-1185 "SUBSPACE.spad" 2007505 2007520 2015380 2015385) (-1184 "SUBRESP.spad" 2006675 2006689 2007461 2007466) (-1183 "STTF.spad" 2002774 2002790 2006665 2006670) (-1182 "STTFNC.spad" 1999242 1999258 2002764 2002769) (-1181 "STTAYLOR.spad" 1991877 1991888 1999123 1999128) (-1180 "STRTBL.spad" 1989928 1989945 1990077 1990104) (-1179 "STRING.spad" 1988715 1988724 1988936 1988963) (-1178 "STREAM.spad" 1985516 1985527 1988123 1988138) (-1177 "STREAM3.spad" 1985089 1985104 1985506 1985511) (-1176 "STREAM2.spad" 1984217 1984230 1985079 1985084) (-1175 "STREAM1.spad" 1983923 1983934 1984207 1984212) (-1174 "STINPROD.spad" 1982859 1982875 1983913 1983918) (-1173 "STEP.spad" 1982060 1982069 1982849 1982854) (-1172 "STEPAST.spad" 1981294 1981303 1982050 1982055) (-1171 "STBL.spad" 1979378 1979406 1979545 1979560) (-1170 "STAGG.spad" 1978453 1978464 1979368 1979373) (-1169 "STAGG.spad" 1977526 1977539 1978443 1978448) (-1168 "STACK.spad" 1976766 1976777 1977016 1977043) (-1167 "SREGSET.spad" 1974434 1974451 1976376 1976403) (-1166 "SRDCMPK.spad" 1972995 1973015 1974424 1974429) (-1165 "SRAGG.spad" 1968138 1968147 1972963 1972990) (-1164 "SRAGG.spad" 1963301 1963312 1968128 1968133) (-1163 "SQMATRIX.spad" 1960844 1960862 1961760 1961847) (-1162 "SPLTREE.spad" 1955240 1955253 1960124 1960151) (-1161 "SPLNODE.spad" 1951828 1951841 1955230 1955235) (-1160 "SPFCAT.spad" 1950637 1950646 1951818 1951823) (-1159 "SPECOUT.spad" 1949189 1949198 1950627 1950632) (-1158 "SPADXPT.spad" 1940784 1940793 1949179 1949184) (-1157 "spad-parser.spad" 1940249 1940258 1940774 1940779) (-1156 "SPADAST.spad" 1939950 1939959 1940239 1940244) (-1155 "SPACEC.spad" 1924149 1924160 1939940 1939945) (-1154 "SPACE3.spad" 1923925 1923936 1924139 1924144) (-1153 "SORTPAK.spad" 1923474 1923487 1923881 1923886) (-1152 "SOLVETRA.spad" 1921237 1921248 1923464 1923469) (-1151 "SOLVESER.spad" 1919765 1919776 1921227 1921232) (-1150 "SOLVERAD.spad" 1915791 1915802 1919755 1919760) (-1149 "SOLVEFOR.spad" 1914253 1914271 1915781 1915786) (-1148 "SNTSCAT.spad" 1913853 1913870 1914221 1914248) (-1147 "SMTS.spad" 1912125 1912151 1913418 1913515) (-1146 "SMP.spad" 1909600 1909620 1909990 1910117) (-1145 "SMITH.spad" 1908445 1908470 1909590 1909595) (-1144 "SMATCAT.spad" 1906555 1906585 1908389 1908440) (-1143 "SMATCAT.spad" 1904597 1904629 1906433 1906438) (-1142 "SKAGG.spad" 1903560 1903571 1904565 1904592) (-1141 "SINT.spad" 1902500 1902509 1903426 1903555) (-1140 "SIMPAN.spad" 1902228 1902237 1902490 1902495) (-1139 "SIG.spad" 1901558 1901567 1902218 1902223) (-1138 "SIGNRF.spad" 1900676 1900687 1901548 1901553) (-1137 "SIGNEF.spad" 1899955 1899972 1900666 1900671) (-1136 "SIGAST.spad" 1899340 1899349 1899945 1899950) (-1135 "SHP.spad" 1897268 1897283 1899296 1899301) (-1134 "SHDP.spad" 1884946 1884973 1885455 1885554) (-1133 "SGROUP.spad" 1884554 1884563 1884936 1884941) (-1132 "SGROUP.spad" 1884160 1884171 1884544 1884549) (-1131 "SGCF.spad" 1877299 1877308 1884150 1884155) (-1130 "SFRTCAT.spad" 1876229 1876246 1877267 1877294) (-1129 "SFRGCD.spad" 1875292 1875312 1876219 1876224) (-1128 "SFQCMPK.spad" 1869929 1869949 1875282 1875287) (-1127 "SFORT.spad" 1869368 1869382 1869919 1869924) (-1126 "SEXOF.spad" 1869211 1869251 1869358 1869363) (-1125 "SEX.spad" 1869103 1869112 1869201 1869206) (-1124 "SEXCAT.spad" 1866875 1866915 1869093 1869098) (-1123 "SET.spad" 1865163 1865174 1866260 1866299) (-1122 "SETMN.spad" 1863613 1863630 1865153 1865158) (-1121 "SETCAT.spad" 1863098 1863107 1863603 1863608) (-1120 "SETCAT.spad" 1862581 1862592 1863088 1863093) (-1119 "SETAGG.spad" 1859130 1859141 1862561 1862576) (-1118 "SETAGG.spad" 1855687 1855700 1859120 1859125) (-1117 "SEQAST.spad" 1855390 1855399 1855677 1855682) (-1116 "SEGXCAT.spad" 1854546 1854559 1855380 1855385) (-1115 "SEG.spad" 1854359 1854370 1854465 1854470) (-1114 "SEGCAT.spad" 1853284 1853295 1854349 1854354) (-1113 "SEGBIND.spad" 1853042 1853053 1853231 1853236) (-1112 "SEGBIND2.spad" 1852740 1852753 1853032 1853037) (-1111 "SEGAST.spad" 1852454 1852463 1852730 1852735) (-1110 "SEG2.spad" 1851889 1851902 1852410 1852415) (-1109 "SDVAR.spad" 1851165 1851176 1851879 1851884) (-1108 "SDPOL.spad" 1848498 1848509 1848789 1848916) (-1107 "SCPKG.spad" 1846587 1846598 1848488 1848493) (-1106 "SCOPE.spad" 1845740 1845749 1846577 1846582) (-1105 "SCACHE.spad" 1844436 1844447 1845730 1845735) (-1104 "SASTCAT.spad" 1844345 1844354 1844426 1844431) (-1103 "SAOS.spad" 1844217 1844226 1844335 1844340) (-1102 "SAERFFC.spad" 1843930 1843950 1844207 1844212) (-1101 "SAE.spad" 1841400 1841416 1842011 1842146) (-1100 "SAEFACT.spad" 1841101 1841121 1841390 1841395) (-1099 "RURPK.spad" 1838760 1838776 1841091 1841096) (-1098 "RULESET.spad" 1838213 1838237 1838750 1838755) (-1097 "RULE.spad" 1836453 1836477 1838203 1838208) (-1096 "RULECOLD.spad" 1836305 1836318 1836443 1836448) (-1095 "RTVALUE.spad" 1836040 1836049 1836295 1836300) (-1094 "RSTRCAST.spad" 1835757 1835766 1836030 1836035) (-1093 "RSETGCD.spad" 1832135 1832155 1835747 1835752) (-1092 "RSETCAT.spad" 1822071 1822088 1832103 1832130) (-1091 "RSETCAT.spad" 1812027 1812046 1822061 1822066) (-1090 "RSDCMPK.spad" 1810479 1810499 1812017 1812022) (-1089 "RRCC.spad" 1808863 1808893 1810469 1810474) (-1088 "RRCC.spad" 1807245 1807277 1808853 1808858) (-1087 "RPTAST.spad" 1806947 1806956 1807235 1807240) (-1086 "RPOLCAT.spad" 1786307 1786322 1806815 1806942) (-1085 "RPOLCAT.spad" 1765380 1765397 1785890 1785895) (-1084 "ROUTINE.spad" 1760801 1760810 1763565 1763592) (-1083 "ROMAN.spad" 1760129 1760138 1760667 1760796) (-1082 "ROIRC.spad" 1759209 1759241 1760119 1760124) (-1081 "RNS.spad" 1758112 1758121 1759111 1759204) (-1080 "RNS.spad" 1757101 1757112 1758102 1758107) (-1079 "RNG.spad" 1756836 1756845 1757091 1757096) (-1078 "RNGBIND.spad" 1755996 1756010 1756791 1756796) (-1077 "RMODULE.spad" 1755761 1755772 1755986 1755991) (-1076 "RMCAT2.spad" 1755181 1755238 1755751 1755756) (-1075 "RMATRIX.spad" 1753969 1753988 1754312 1754351) (-1074 "RMATCAT.spad" 1749548 1749579 1753925 1753964) (-1073 "RMATCAT.spad" 1745017 1745050 1749396 1749401) (-1072 "RLINSET.spad" 1744721 1744732 1745007 1745012) (-1071 "RINTERP.spad" 1744609 1744629 1744711 1744716) (-1070 "RING.spad" 1744079 1744088 1744589 1744604) (-1069 "RING.spad" 1743557 1743568 1744069 1744074) (-1068 "RIDIST.spad" 1742949 1742958 1743547 1743552) (-1067 "RGCHAIN.spad" 1741477 1741493 1742379 1742406) (-1066 "RGBCSPC.spad" 1741258 1741270 1741467 1741472) (-1065 "RGBCMDL.spad" 1740788 1740800 1741248 1741253) (-1064 "RF.spad" 1738430 1738441 1740778 1740783) (-1063 "RFFACTOR.spad" 1737892 1737903 1738420 1738425) (-1062 "RFFACT.spad" 1737627 1737639 1737882 1737887) (-1061 "RFDIST.spad" 1736623 1736632 1737617 1737622) (-1060 "RETSOL.spad" 1736042 1736055 1736613 1736618) (-1059 "RETRACT.spad" 1735470 1735481 1736032 1736037) (-1058 "RETRACT.spad" 1734896 1734909 1735460 1735465) (-1057 "RETAST.spad" 1734708 1734717 1734886 1734891) (-1056 "RESULT.spad" 1732306 1732315 1732893 1732920) (-1055 "RESRING.spad" 1731653 1731700 1732244 1732301) (-1054 "RESLATC.spad" 1730977 1730988 1731643 1731648) (-1053 "REPSQ.spad" 1730708 1730719 1730967 1730972) (-1052 "REP.spad" 1728262 1728271 1730698 1730703) (-1051 "REPDB.spad" 1727969 1727980 1728252 1728257) (-1050 "REP2.spad" 1717627 1717638 1727811 1727816) (-1049 "REP1.spad" 1711823 1711834 1717577 1717582) (-1048 "REGSET.spad" 1709584 1709601 1711433 1711460) (-1047 "REF.spad" 1708919 1708930 1709539 1709544) (-1046 "REDORDER.spad" 1708125 1708142 1708909 1708914) (-1045 "RECLOS.spad" 1706908 1706928 1707612 1707705) (-1044 "REALSOLV.spad" 1706048 1706057 1706898 1706903) (-1043 "REAL.spad" 1705920 1705929 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1109042) (-705 "MCDEN.spad" 1107437 1107449 1108217 1108222) (-704 "MCALCFN.spad" 1104559 1104585 1107427 1107432) (-703 "MAYBE.spad" 1103843 1103854 1104549 1104554) (-702 "MATSTOR.spad" 1101151 1101161 1103833 1103838) (-701 "MATRIX.spad" 1099738 1099748 1100222 1100249) (-700 "MATLIN.spad" 1097082 1097106 1099622 1099627) (-699 "MATCAT.spad" 1088604 1088626 1097050 1097077) (-698 "MATCAT.spad" 1079998 1080022 1088446 1088451) (-697 "MATCAT2.spad" 1079280 1079328 1079988 1079993) (-696 "MAPPKG3.spad" 1078195 1078209 1079270 1079275) (-695 "MAPPKG2.spad" 1077533 1077545 1078185 1078190) (-694 "MAPPKG1.spad" 1076361 1076371 1077523 1077528) (-693 "MAPPAST.spad" 1075676 1075684 1076351 1076356) (-692 "MAPHACK3.spad" 1075488 1075502 1075666 1075671) (-691 "MAPHACK2.spad" 1075257 1075269 1075478 1075483) (-690 "MAPHACK1.spad" 1074901 1074911 1075247 1075252) (-689 "MAGMA.spad" 1072691 1072708 1074891 1074896) (-688 "MACROAST.spad" 1072270 1072278 1072681 1072686) (-687 "M3D.spad" 1069873 1069883 1071531 1071536) (-686 "LZSTAGG.spad" 1067111 1067121 1069863 1069868) (-685 "LZSTAGG.spad" 1064347 1064359 1067101 1067106) (-684 "LWORD.spad" 1061052 1061069 1064337 1064342) (-683 "LSTAST.spad" 1060836 1060844 1061042 1061047) (-682 "LSQM.spad" 1058993 1059007 1059387 1059438) (-681 "LSPP.spad" 1058528 1058545 1058983 1058988) (-680 "LSMP.spad" 1057378 1057406 1058518 1058523) (-679 "LSMP1.spad" 1055196 1055210 1057368 1057373) (-678 "LSAGG.spad" 1054865 1054875 1055164 1055191) (-677 "LSAGG.spad" 1054554 1054566 1054855 1054860) (-676 "LPOLY.spad" 1053508 1053527 1054410 1054479) (-675 "LPEFRAC.spad" 1052779 1052789 1053498 1053503) (-674 "LO.spad" 1052180 1052194 1052713 1052740) (-673 "LOGIC.spad" 1051782 1051790 1052170 1052175) (-672 "LOGIC.spad" 1051382 1051392 1051772 1051777) (-671 "LODOOPS.spad" 1050312 1050324 1051372 1051377) (-670 "LODO.spad" 1049696 1049712 1049992 1050031) (-669 "LODOF.spad" 1048742 1048759 1049653 1049658) (-668 "LODOCAT.spad" 1047408 1047418 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(-140 "CATCTOR.spad" 155958 155966 156057 156062) (-139 "CATAST.spad" 155576 155584 155948 155953) (-138 "CASEAST.spad" 155290 155298 155566 155571) (-137 "CARTEN.spad" 150657 150681 155280 155285) (-136 "CARTEN2.spad" 150047 150074 150647 150652) (-135 "CARD.spad" 147342 147350 150021 150042) (-134 "CAPSLAST.spad" 147116 147124 147332 147337) (-133 "CACHSET.spad" 146740 146748 147106 147111) (-132 "CABMON.spad" 146295 146303 146730 146735) (-131 "BYTEORD.spad" 145970 145978 146285 146290) (-130 "BYTE.spad" 145397 145405 145960 145965) (-129 "BYTEBUF.spad" 143095 143103 144405 144432) (-128 "BTREE.spad" 142051 142061 142585 142612) (-127 "BTOURN.spad" 140939 140949 141541 141568) (-126 "BTCAT.spad" 140331 140341 140907 140934) (-125 "BTCAT.spad" 139743 139755 140321 140326) (-124 "BTAGG.spad" 139209 139217 139711 139738) (-123 "BTAGG.spad" 138695 138705 139199 139204) (-122 "BSTREE.spad" 137319 137329 138185 138212) (-121 "BRILL.spad" 135516 135527 137309 137314) (-120 "BRAGG.spad" 134456 134466 135506 135511) (-119 "BRAGG.spad" 133360 133372 134412 134417) (-118 "BPADICRT.spad" 131234 131246 131489 131582) (-117 "BPADIC.spad" 130898 130910 131160 131229) (-116 "BOUNDZRO.spad" 130554 130571 130888 130893) (-115 "BOP.spad" 125736 125744 130544 130549) (-114 "BOP1.spad" 123202 123212 125726 125731) (-113 "BOOLE.spad" 122852 122860 123192 123197) (-112 "BOOLEAN.spad" 122290 122298 122842 122847) (-111 "BMODULE.spad" 122002 122014 122258 122285) (-110 "BITS.spad" 121385 121393 121600 121627) (-109 "BINDING.spad" 120798 120806 121375 121380) (-108 "BINARY.spad" 118812 118820 119168 119261) (-107 "BGAGG.spad" 118017 118027 118792 118807) (-106 "BGAGG.spad" 117230 117242 118007 118012) (-105 "BFUNCT.spad" 116794 116802 117210 117225) (-104 "BEZOUT.spad" 115934 115961 116744 116749) (-103 "BBTREE.spad" 112662 112672 115424 115451) (-102 "BASTYPE.spad" 112158 112166 112652 112657) (-101 "BASTYPE.spad" 111652 111662 112148 112153) (-100 "BALFACT.spad" 111111 111124 111642 111647) (-99 "AUTOMOR.spad" 110562 110571 111091 111106) (-98 "ATTREG.spad" 107285 107292 110314 110557) (-97 "ATTRBUT.spad" 103308 103315 107265 107280) (-96 "ATTRAST.spad" 103025 103032 103298 103303) (-95 "ATRIG.spad" 102495 102502 103015 103020) (-94 "ATRIG.spad" 101963 101972 102485 102490) (-93 "ASTCAT.spad" 101867 101874 101953 101958) (-92 "ASTCAT.spad" 101769 101778 101857 101862) (-91 "ASTACK.spad" 100991 101000 101259 101286) (-90 "ASSOCEQ.spad" 99817 99828 100947 100952) (-89 "ASP9.spad" 98898 98911 99807 99812) (-88 "ASP8.spad" 97941 97954 98888 98893) (-87 "ASP80.spad" 97263 97276 97931 97936) (-86 "ASP7.spad" 96423 96436 97253 97258) (-85 "ASP78.spad" 95874 95887 96413 96418) (-84 "ASP77.spad" 95243 95256 95864 95869) (-83 "ASP74.spad" 94335 94348 95233 95238) (-82 "ASP73.spad" 93606 93619 94325 94330) (-81 "ASP6.spad" 92473 92486 93596 93601) (-80 "ASP55.spad" 90982 90995 92463 92468) (-79 "ASP50.spad" 88799 88812 90972 90977) (-78 "ASP4.spad" 88094 88107 88789 88794) (-77 "ASP49.spad" 87093 87106 88084 88089) (-76 "ASP42.spad" 85500 85539 87083 87088) (-75 "ASP41.spad" 84079 84118 85490 85495) (-74 "ASP35.spad" 83067 83080 84069 84074) (-73 "ASP34.spad" 82368 82381 83057 83062) (-72 "ASP33.spad" 81928 81941 82358 82363) (-71 "ASP31.spad" 81068 81081 81918 81923) (-70 "ASP30.spad" 79960 79973 81058 81063) (-69 "ASP29.spad" 79426 79439 79950 79955) (-68 "ASP28.spad" 70699 70712 79416 79421) (-67 "ASP27.spad" 69596 69609 70689 70694) (-66 "ASP24.spad" 68683 68696 69586 69591) (-65 "ASP20.spad" 68147 68160 68673 68678) (-64 "ASP1.spad" 67528 67541 68137 68142) (-63 "ASP19.spad" 62214 62227 67518 67523) (-62 "ASP12.spad" 61628 61641 62204 62209) (-61 "ASP10.spad" 60899 60912 61618 61623) (-60 "ARRAY2.spad" 60142 60151 60389 60416) (-59 "ARRAY1.spad" 58826 58835 59172 59199) (-58 "ARRAY12.spad" 57539 57550 58816 58821) (-57 "ARR2CAT.spad" 53313 53334 57507 57534) (-56 "ARR2CAT.spad" 49107 49130 53303 53308) (-55 "ARITY.spad" 48479 48486 49097 49102) (-54 "APPRULE.spad" 47739 47761 48469 48474) (-53 "APPLYORE.spad" 47358 47371 47729 47734) (-52 "ANY.spad" 46217 46224 47348 47353) (-51 "ANY1.spad" 45288 45297 46207 46212) (-50 "ANTISYM.spad" 43733 43749 45268 45283) (-49 "ANON.spad" 43426 43433 43723 43728) (-48 "AN.spad" 41735 41742 43242 43335) (-47 "AMR.spad" 39920 39931 41633 41730) (-46 "AMR.spad" 37942 37955 39657 39662) (-45 "ALIST.spad" 34842 34863 35192 35219) (-44 "ALGSC.spad" 33977 34003 34714 34767) (-43 "ALGPKG.spad" 29760 29771 33933 33938) (-42 "ALGMFACT.spad" 28953 28967 29750 29755) (-41 "ALGMANIP.spad" 26427 26442 28786 28791) (-40 "ALGFF.spad" 24068 24095 24285 24441) (-39 "ALGFACT.spad" 23195 23205 24058 24063) (-38 "ALGEBRA.spad" 23028 23037 23151 23190) (-37 "ALGEBRA.spad" 22893 22904 23018 23023) (-36 "ALAGG.spad" 22405 22426 22861 22888) (-35 "AHYP.spad" 21786 21793 22395 22400) (-34 "AGG.spad" 20103 20110 21776 21781) (-33 "AGG.spad" 18384 18393 20059 20064) (-32 "AF.spad" 16815 16830 18319 18324) (-31 "ADDAST.spad" 16493 16500 16805 16810) (-30 "ACPLOT.spad" 15084 15091 16483 16488) (-29 "ACFS.spad" 12893 12902 14986 15079) (-28 "ACFS.spad" 10788 10799 12883 12888) (-27 "ACF.spad" 7470 7477 10690 10783) (-26 "ACF.spad" 4238 4247 7460 7465) (-25 "ABELSG.spad" 3779 3786 4228 4233) (-24 "ABELSG.spad" 3318 3327 3769 3774) (-23 "ABELMON.spad" 2861 2868 3308 3313) (-22 "ABELMON.spad" 2402 2411 2851 2856) (-21 "ABELGRP.spad" 2067 2074 2392 2397) (-20 "ABELGRP.spad" 1730 1739 2057 2062) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865)) 
-\ No newline at end of file
+((-3 NIL 2294110 2294115 2294120 2294125) (-2 NIL 2294090 2294095 2294100 2294105) (-1 NIL 2294070 2294075 2294080 2294085) (0 NIL 2294050 2294055 2294060 2294065) (-1317 "ZMOD.spad" 2293859 2293872 2293988 2294045) (-1316 "ZLINDEP.spad" 2292925 2292936 2293849 2293854) (-1315 "ZDSOLVE.spad" 2282870 2282892 2292915 2292920) (-1314 "YSTREAM.spad" 2282365 2282376 2282860 2282865) (-1313 "YDIAGRAM.spad" 2281999 2282008 2282355 2282360) (-1312 "XRPOLY.spad" 2281219 2281239 2281855 2281924) (-1311 "XPR.spad" 2279014 2279027 2280937 2281036) (-1310 "XPOLY.spad" 2278569 2278580 2278870 2278939) (-1309 "XPOLYC.spad" 2277888 2277904 2278495 2278564) (-1308 "XPBWPOLY.spad" 2276325 2276345 2277668 2277737) (-1307 "XF.spad" 2274788 2274803 2276227 2276320) (-1306 "XF.spad" 2273231 2273248 2274672 2274677) (-1305 "XFALG.spad" 2270279 2270295 2273157 2273226) (-1304 "XEXPPKG.spad" 2269530 2269556 2270269 2270274) (-1303 "XDPOLY.spad" 2269144 2269160 2269386 2269455) (-1302 "XALG.spad" 2268804 2268815 2269100 2269139) (-1301 "WUTSET.spad" 2264607 2264624 2268414 2268441) (-1300 "WP.spad" 2263806 2263850 2264465 2264532) (-1299 "WHILEAST.spad" 2263604 2263613 2263796 2263801) (-1298 "WHEREAST.spad" 2263275 2263284 2263594 2263599) (-1297 "WFFINTBS.spad" 2260938 2260960 2263265 2263270) (-1296 "WEIER.spad" 2259160 2259171 2260928 2260933) (-1295 "VSPACE.spad" 2258833 2258844 2259128 2259155) (-1294 "VSPACE.spad" 2258526 2258539 2258823 2258828) (-1293 "VOID.spad" 2258203 2258212 2258516 2258521) (-1292 "VIEW.spad" 2255883 2255892 2258193 2258198) (-1291 "VIEWDEF.spad" 2251084 2251093 2255873 2255878) (-1290 "VIEW3D.spad" 2235045 2235054 2251074 2251079) (-1289 "VIEW2D.spad" 2222936 2222945 2235035 2235040) (-1288 "VECTOR.spad" 2221457 2221468 2221708 2221735) (-1287 "VECTOR2.spad" 2220096 2220109 2221447 2221452) (-1286 "VECTCAT.spad" 2218000 2218011 2220064 2220091) (-1285 "VECTCAT.spad" 2215711 2215724 2217777 2217782) (-1284 "VARIABLE.spad" 2215491 2215506 2215701 2215706) (-1283 "UTYPE.spad" 2215135 2215144 2215481 2215486) (-1282 "UTSODETL.spad" 2214430 2214454 2215091 2215096) (-1281 "UTSODE.spad" 2212646 2212666 2214420 2214425) (-1280 "UTS.spad" 2207593 2207621 2211113 2211210) (-1279 "UTSCAT.spad" 2205072 2205088 2207491 2207588) (-1278 "UTSCAT.spad" 2202195 2202213 2204616 2204621) (-1277 "UTS2.spad" 2201790 2201825 2202185 2202190) (-1276 "URAGG.spad" 2196463 2196474 2201780 2201785) (-1275 "URAGG.spad" 2191100 2191113 2196419 2196424) (-1274 "UPXSSING.spad" 2188745 2188771 2190181 2190314) (-1273 "UPXS.spad" 2186041 2186069 2186877 2187026) (-1272 "UPXSCONS.spad" 2183800 2183820 2184173 2184322) (-1271 "UPXSCCA.spad" 2182371 2182391 2183646 2183795) (-1270 "UPXSCCA.spad" 2181084 2181106 2182361 2182366) (-1269 "UPXSCAT.spad" 2179673 2179689 2180930 2181079) (-1268 "UPXS2.spad" 2179216 2179269 2179663 2179668) (-1267 "UPSQFREE.spad" 2177630 2177644 2179206 2179211) (-1266 "UPSCAT.spad" 2175417 2175441 2177528 2177625) (-1265 "UPSCAT.spad" 2172910 2172936 2175023 2175028) (-1264 "UPOLYC.spad" 2167950 2167961 2172752 2172905) (-1263 "UPOLYC.spad" 2162882 2162895 2167686 2167691) (-1262 "UPOLYC2.spad" 2162353 2162372 2162872 2162877) (-1261 "UP.spad" 2159459 2159474 2159846 2159999) (-1260 "UPMP.spad" 2158359 2158372 2159449 2159454) (-1259 "UPDIVP.spad" 2157924 2157938 2158349 2158354) (-1258 "UPDECOMP.spad" 2156169 2156183 2157914 2157919) (-1257 "UPCDEN.spad" 2155378 2155394 2156159 2156164) (-1256 "UP2.spad" 2154742 2154763 2155368 2155373) (-1255 "UNISEG.spad" 2154095 2154106 2154661 2154666) (-1254 "UNISEG2.spad" 2153592 2153605 2154051 2154056) (-1253 "UNIFACT.spad" 2152695 2152707 2153582 2153587) (-1252 "ULS.spad" 2142479 2142507 2143424 2143853) (-1251 "ULSCONS.spad" 2133613 2133633 2133983 2134132) (-1250 "ULSCCAT.spad" 2131350 2131370 2133459 2133608) (-1249 "ULSCCAT.spad" 2129195 2129217 2131306 2131311) (-1248 "ULSCAT.spad" 2127427 2127443 2129041 2129190) (-1247 "ULS2.spad" 2126941 2126994 2127417 2127422) (-1246 "UINT8.spad" 2126818 2126827 2126931 2126936) (-1245 "UINT64.spad" 2126694 2126703 2126808 2126813) (-1244 "UINT32.spad" 2126570 2126579 2126684 2126689) (-1243 "UINT16.spad" 2126446 2126455 2126560 2126565) (-1242 "UFD.spad" 2125511 2125520 2126372 2126441) (-1241 "UFD.spad" 2124638 2124649 2125501 2125506) (-1240 "UDVO.spad" 2123519 2123528 2124628 2124633) (-1239 "UDPO.spad" 2121012 2121023 2123475 2123480) (-1238 "TYPE.spad" 2120944 2120953 2121002 2121007) (-1237 "TYPEAST.spad" 2120863 2120872 2120934 2120939) (-1236 "TWOFACT.spad" 2119515 2119530 2120853 2120858) (-1235 "TUPLE.spad" 2119001 2119012 2119414 2119419) (-1234 "TUBETOOL.spad" 2115868 2115877 2118991 2118996) (-1233 "TUBE.spad" 2114515 2114532 2115858 2115863) (-1232 "TS.spad" 2113114 2113130 2114080 2114177) (-1231 "TSETCAT.spad" 2100241 2100258 2113082 2113109) (-1230 "TSETCAT.spad" 2087354 2087373 2100197 2100202) (-1229 "TRMANIP.spad" 2081720 2081737 2087060 2087065) (-1228 "TRIMAT.spad" 2080683 2080708 2081710 2081715) (-1227 "TRIGMNIP.spad" 2079210 2079227 2080673 2080678) (-1226 "TRIGCAT.spad" 2078722 2078731 2079200 2079205) (-1225 "TRIGCAT.spad" 2078232 2078243 2078712 2078717) (-1224 "TREE.spad" 2076690 2076701 2077722 2077749) (-1223 "TRANFUN.spad" 2076529 2076538 2076680 2076685) (-1222 "TRANFUN.spad" 2076366 2076377 2076519 2076524) (-1221 "TOPSP.spad" 2076040 2076049 2076356 2076361) (-1220 "TOOLSIGN.spad" 2075703 2075714 2076030 2076035) (-1219 "TEXTFILE.spad" 2074264 2074273 2075693 2075698) (-1218 "TEX.spad" 2071410 2071419 2074254 2074259) (-1217 "TEX1.spad" 2070966 2070977 2071400 2071405) (-1216 "TEMUTL.spad" 2070521 2070530 2070956 2070961) (-1215 "TBCMPPK.spad" 2068614 2068637 2070511 2070516) (-1214 "TBAGG.spad" 2067664 2067687 2068594 2068609) (-1213 "TBAGG.spad" 2066722 2066747 2067654 2067659) (-1212 "TANEXP.spad" 2066130 2066141 2066712 2066717) (-1211 "TALGOP.spad" 2065854 2065865 2066120 2066125) (-1210 "TABLE.spad" 2063823 2063846 2064093 2064120) (-1209 "TABLEAU.spad" 2063304 2063315 2063813 2063818) (-1208 "TABLBUMP.spad" 2060107 2060118 2063294 2063299) (-1207 "SYSTEM.spad" 2059335 2059344 2060097 2060102) (-1206 "SYSSOLP.spad" 2056818 2056829 2059325 2059330) (-1205 "SYSPTR.spad" 2056717 2056726 2056808 2056813) (-1204 "SYSNNI.spad" 2055899 2055910 2056707 2056712) (-1203 "SYSINT.spad" 2055303 2055314 2055889 2055894) (-1202 "SYNTAX.spad" 2051509 2051518 2055293 2055298) (-1201 "SYMTAB.spad" 2049577 2049586 2051499 2051504) (-1200 "SYMS.spad" 2045600 2045609 2049567 2049572) (-1199 "SYMPOLY.spad" 2044607 2044618 2044689 2044816) (-1198 "SYMFUNC.spad" 2044108 2044119 2044597 2044602) (-1197 "SYMBOL.spad" 2041611 2041620 2044098 2044103) (-1196 "SWITCH.spad" 2038382 2038391 2041601 2041606) (-1195 "SUTS.spad" 2035430 2035458 2036849 2036946) (-1194 "SUPXS.spad" 2032713 2032741 2033562 2033711) (-1193 "SUP.spad" 2029433 2029444 2030206 2030359) (-1192 "SUPFRACF.spad" 2028538 2028556 2029423 2029428) (-1191 "SUP2.spad" 2027930 2027943 2028528 2028533) (-1190 "SUMRF.spad" 2026904 2026915 2027920 2027925) (-1189 "SUMFS.spad" 2026541 2026558 2026894 2026899) (-1188 "SULS.spad" 2016312 2016340 2017270 2017699) (-1187 "SUCHTAST.spad" 2016081 2016090 2016302 2016307) (-1186 "SUCH.spad" 2015763 2015778 2016071 2016076) (-1185 "SUBSPACE.spad" 2007878 2007893 2015753 2015758) (-1184 "SUBRESP.spad" 2007048 2007062 2007834 2007839) (-1183 "STTF.spad" 2003147 2003163 2007038 2007043) (-1182 "STTFNC.spad" 1999615 1999631 2003137 2003142) (-1181 "STTAYLOR.spad" 1992250 1992261 1999496 1999501) (-1180 "STRTBL.spad" 1990301 1990318 1990450 1990477) (-1179 "STRING.spad" 1989088 1989097 1989309 1989336) (-1178 "STREAM.spad" 1985889 1985900 1988496 1988511) (-1177 "STREAM3.spad" 1985462 1985477 1985879 1985884) (-1176 "STREAM2.spad" 1984590 1984603 1985452 1985457) (-1175 "STREAM1.spad" 1984296 1984307 1984580 1984585) (-1174 "STINPROD.spad" 1983232 1983248 1984286 1984291) (-1173 "STEP.spad" 1982433 1982442 1983222 1983227) (-1172 "STEPAST.spad" 1981667 1981676 1982423 1982428) (-1171 "STBL.spad" 1979751 1979779 1979918 1979933) (-1170 "STAGG.spad" 1978826 1978837 1979741 1979746) (-1169 "STAGG.spad" 1977899 1977912 1978816 1978821) (-1168 "STACK.spad" 1977139 1977150 1977389 1977416) (-1167 "SREGSET.spad" 1974807 1974824 1976749 1976776) (-1166 "SRDCMPK.spad" 1973368 1973388 1974797 1974802) (-1165 "SRAGG.spad" 1968511 1968520 1973336 1973363) (-1164 "SRAGG.spad" 1963674 1963685 1968501 1968506) (-1163 "SQMATRIX.spad" 1961217 1961235 1962133 1962220) (-1162 "SPLTREE.spad" 1955613 1955626 1960497 1960524) (-1161 "SPLNODE.spad" 1952201 1952214 1955603 1955608) (-1160 "SPFCAT.spad" 1951010 1951019 1952191 1952196) (-1159 "SPECOUT.spad" 1949562 1949571 1951000 1951005) (-1158 "SPADXPT.spad" 1941157 1941166 1949552 1949557) (-1157 "spad-parser.spad" 1940622 1940631 1941147 1941152) (-1156 "SPADAST.spad" 1940323 1940332 1940612 1940617) (-1155 "SPACEC.spad" 1924522 1924533 1940313 1940318) (-1154 "SPACE3.spad" 1924298 1924309 1924512 1924517) (-1153 "SORTPAK.spad" 1923847 1923860 1924254 1924259) (-1152 "SOLVETRA.spad" 1921610 1921621 1923837 1923842) (-1151 "SOLVESER.spad" 1920138 1920149 1921600 1921605) (-1150 "SOLVERAD.spad" 1916164 1916175 1920128 1920133) (-1149 "SOLVEFOR.spad" 1914626 1914644 1916154 1916159) (-1148 "SNTSCAT.spad" 1914226 1914243 1914594 1914621) (-1147 "SMTS.spad" 1912498 1912524 1913791 1913888) (-1146 "SMP.spad" 1909973 1909993 1910363 1910490) (-1145 "SMITH.spad" 1908818 1908843 1909963 1909968) (-1144 "SMATCAT.spad" 1906928 1906958 1908762 1908813) (-1143 "SMATCAT.spad" 1904970 1905002 1906806 1906811) (-1142 "SKAGG.spad" 1903933 1903944 1904938 1904965) (-1141 "SINT.spad" 1902873 1902882 1903799 1903928) (-1140 "SIMPAN.spad" 1902601 1902610 1902863 1902868) (-1139 "SIG.spad" 1901931 1901940 1902591 1902596) (-1138 "SIGNRF.spad" 1901049 1901060 1901921 1901926) (-1137 "SIGNEF.spad" 1900328 1900345 1901039 1901044) (-1136 "SIGAST.spad" 1899713 1899722 1900318 1900323) (-1135 "SHP.spad" 1897641 1897656 1899669 1899674) (-1134 "SHDP.spad" 1885319 1885346 1885828 1885927) (-1133 "SGROUP.spad" 1884927 1884936 1885309 1885314) (-1132 "SGROUP.spad" 1884533 1884544 1884917 1884922) (-1131 "SGCF.spad" 1877672 1877681 1884523 1884528) (-1130 "SFRTCAT.spad" 1876602 1876619 1877640 1877667) (-1129 "SFRGCD.spad" 1875665 1875685 1876592 1876597) (-1128 "SFQCMPK.spad" 1870302 1870322 1875655 1875660) (-1127 "SFORT.spad" 1869741 1869755 1870292 1870297) (-1126 "SEXOF.spad" 1869584 1869624 1869731 1869736) (-1125 "SEX.spad" 1869476 1869485 1869574 1869579) (-1124 "SEXCAT.spad" 1867248 1867288 1869466 1869471) (-1123 "SET.spad" 1865536 1865547 1866633 1866672) (-1122 "SETMN.spad" 1863986 1864003 1865526 1865531) (-1121 "SETCAT.spad" 1863471 1863480 1863976 1863981) (-1120 "SETCAT.spad" 1862954 1862965 1863461 1863466) (-1119 "SETAGG.spad" 1859503 1859514 1862934 1862949) (-1118 "SETAGG.spad" 1856060 1856073 1859493 1859498) (-1117 "SEQAST.spad" 1855763 1855772 1856050 1856055) (-1116 "SEGXCAT.spad" 1854919 1854932 1855753 1855758) (-1115 "SEG.spad" 1854732 1854743 1854838 1854843) (-1114 "SEGCAT.spad" 1853657 1853668 1854722 1854727) (-1113 "SEGBIND.spad" 1853415 1853426 1853604 1853609) (-1112 "SEGBIND2.spad" 1853113 1853126 1853405 1853410) (-1111 "SEGAST.spad" 1852827 1852836 1853103 1853108) (-1110 "SEG2.spad" 1852262 1852275 1852783 1852788) (-1109 "SDVAR.spad" 1851538 1851549 1852252 1852257) (-1108 "SDPOL.spad" 1848871 1848882 1849162 1849289) (-1107 "SCPKG.spad" 1846960 1846971 1848861 1848866) (-1106 "SCOPE.spad" 1846113 1846122 1846950 1846955) (-1105 "SCACHE.spad" 1844809 1844820 1846103 1846108) (-1104 "SASTCAT.spad" 1844718 1844727 1844799 1844804) (-1103 "SAOS.spad" 1844590 1844599 1844708 1844713) (-1102 "SAERFFC.spad" 1844303 1844323 1844580 1844585) (-1101 "SAE.spad" 1841773 1841789 1842384 1842519) (-1100 "SAEFACT.spad" 1841474 1841494 1841763 1841768) (-1099 "RURPK.spad" 1839133 1839149 1841464 1841469) (-1098 "RULESET.spad" 1838586 1838610 1839123 1839128) (-1097 "RULE.spad" 1836826 1836850 1838576 1838581) (-1096 "RULECOLD.spad" 1836678 1836691 1836816 1836821) (-1095 "RTVALUE.spad" 1836413 1836422 1836668 1836673) (-1094 "RSTRCAST.spad" 1836130 1836139 1836403 1836408) (-1093 "RSETGCD.spad" 1832508 1832528 1836120 1836125) (-1092 "RSETCAT.spad" 1822444 1822461 1832476 1832503) (-1091 "RSETCAT.spad" 1812400 1812419 1822434 1822439) (-1090 "RSDCMPK.spad" 1810852 1810872 1812390 1812395) (-1089 "RRCC.spad" 1809236 1809266 1810842 1810847) (-1088 "RRCC.spad" 1807618 1807650 1809226 1809231) (-1087 "RPTAST.spad" 1807320 1807329 1807608 1807613) (-1086 "RPOLCAT.spad" 1786680 1786695 1807188 1807315) (-1085 "RPOLCAT.spad" 1765753 1765770 1786263 1786268) (-1084 "ROUTINE.spad" 1761174 1761183 1763938 1763965) (-1083 "ROMAN.spad" 1760502 1760511 1761040 1761169) (-1082 "ROIRC.spad" 1759582 1759614 1760492 1760497) (-1081 "RNS.spad" 1758485 1758494 1759484 1759577) (-1080 "RNS.spad" 1757474 1757485 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"MODMON.spad" 1129971 1129987 1130690 1130843) (-723 "MODFIELD.spad" 1129333 1129372 1129873 1129966) (-722 "MMLFORM.spad" 1128193 1128201 1129323 1129328) (-721 "MMAP.spad" 1127935 1127969 1128183 1128188) (-720 "MLO.spad" 1126394 1126404 1127891 1127930) (-719 "MLIFT.spad" 1125006 1125023 1126384 1126389) (-718 "MKUCFUNC.spad" 1124541 1124559 1124996 1125001) (-717 "MKRECORD.spad" 1124145 1124158 1124531 1124536) (-716 "MKFUNC.spad" 1123552 1123562 1124135 1124140) (-715 "MKFLCFN.spad" 1122520 1122530 1123542 1123547) (-714 "MKBCFUNC.spad" 1122015 1122033 1122510 1122515) (-713 "MINT.spad" 1121454 1121462 1121917 1122010) (-712 "MHROWRED.spad" 1119965 1119975 1121444 1121449) (-711 "MFLOAT.spad" 1118485 1118493 1119855 1119960) (-710 "MFINFACT.spad" 1117885 1117907 1118475 1118480) (-709 "MESH.spad" 1115667 1115675 1117875 1117880) (-708 "MDDFACT.spad" 1113878 1113888 1115657 1115662) (-707 "MDAGG.spad" 1113169 1113179 1113858 1113873) (-706 "MCMPLX.spad" 1108600 1108608 1109214 1109415) (-705 "MCDEN.spad" 1107810 1107822 1108590 1108595) (-704 "MCALCFN.spad" 1104932 1104958 1107800 1107805) (-703 "MAYBE.spad" 1104216 1104227 1104922 1104927) (-702 "MATSTOR.spad" 1101524 1101534 1104206 1104211) (-701 "MATRIX.spad" 1100111 1100121 1100595 1100622) (-700 "MATLIN.spad" 1097455 1097479 1099995 1100000) (-699 "MATCAT.spad" 1088977 1088999 1097423 1097450) (-698 "MATCAT.spad" 1080371 1080395 1088819 1088824) (-697 "MATCAT2.spad" 1079653 1079701 1080361 1080366) (-696 "MAPPKG3.spad" 1078568 1078582 1079643 1079648) (-695 "MAPPKG2.spad" 1077906 1077918 1078558 1078563) (-694 "MAPPKG1.spad" 1076734 1076744 1077896 1077901) (-693 "MAPPAST.spad" 1076049 1076057 1076724 1076729) (-692 "MAPHACK3.spad" 1075861 1075875 1076039 1076044) (-691 "MAPHACK2.spad" 1075630 1075642 1075851 1075856) (-690 "MAPHACK1.spad" 1075274 1075284 1075620 1075625) (-689 "MAGMA.spad" 1073064 1073081 1075264 1075269) (-688 "MACROAST.spad" 1072643 1072651 1073054 1073059) (-687 "M3D.spad" 1070246 1070256 1071904 1071909) (-686 "LZSTAGG.spad" 1067484 1067494 1070236 1070241) (-685 "LZSTAGG.spad" 1064720 1064732 1067474 1067479) (-684 "LWORD.spad" 1061425 1061442 1064710 1064715) (-683 "LSTAST.spad" 1061209 1061217 1061415 1061420) (-682 "LSQM.spad" 1059366 1059380 1059760 1059811) (-681 "LSPP.spad" 1058901 1058918 1059356 1059361) (-680 "LSMP.spad" 1057751 1057779 1058891 1058896) (-679 "LSMP1.spad" 1055569 1055583 1057741 1057746) (-678 "LSAGG.spad" 1055238 1055248 1055537 1055564) (-677 "LSAGG.spad" 1054927 1054939 1055228 1055233) (-676 "LPOLY.spad" 1053881 1053900 1054783 1054852) (-675 "LPEFRAC.spad" 1053152 1053162 1053871 1053876) (-674 "LO.spad" 1052553 1052567 1053086 1053113) (-673 "LOGIC.spad" 1052155 1052163 1052543 1052548) (-672 "LOGIC.spad" 1051755 1051765 1052145 1052150) (-671 "LODOOPS.spad" 1050685 1050697 1051745 1051750) (-670 "LODO.spad" 1050069 1050085 1050365 1050404) (-669 "LODOF.spad" 1049115 1049132 1050026 1050031) (-668 "LODOCAT.spad" 1047781 1047791 1049071 1049110) (-667 "LODOCAT.spad" 1046445 1046457 1047737 1047742) (-666 "LODO2.spad" 1045718 1045730 1046125 1046164) (-665 "LODO1.spad" 1045118 1045128 1045398 1045437) (-664 "LODEEF.spad" 1043920 1043938 1045108 1045113) (-663 "LNAGG.spad" 1040067 1040077 1043910 1043915) (-662 "LNAGG.spad" 1036178 1036190 1040023 1040028) (-661 "LMOPS.spad" 1032946 1032963 1036168 1036173) (-660 "LMODULE.spad" 1032714 1032724 1032936 1032941) (-659 "LMDICT.spad" 1031884 1031894 1032148 1032175) (-658 "LLINSET.spad" 1031591 1031601 1031874 1031879) (-657 "LITERAL.spad" 1031497 1031508 1031581 1031586) (-656 "LIST.spad" 1029079 1029089 1030491 1030518) (-655 "LIST3.spad" 1028390 1028404 1029069 1029074) (-654 "LIST2.spad" 1027092 1027104 1028380 1028385) (-653 "LIST2MAP.spad" 1023995 1024007 1027082 1027087) (-652 "LINSET.spad" 1023774 1023784 1023985 1023990) (-651 "LINEXP.spad" 1022517 1022527 1023764 1023769) (-650 "LINDEP.spad" 1021326 1021338 1022429 1022434) (-649 "LIMITRF.spad" 1019254 1019264 1021316 1021321) (-648 "LIMITPS.spad" 1018157 1018170 1019244 1019249) (-647 "LIE.spad" 1016173 1016185 1017447 1017592) (-646 "LIECAT.spad" 1015649 1015659 1016099 1016168) (-645 "LIECAT.spad" 1015153 1015165 1015605 1015610) (-644 "LIB.spad" 1012904 1012912 1013350 1013365) (-643 "LGROBP.spad" 1010257 1010276 1012894 1012899) (-642 "LF.spad" 1009212 1009228 1010247 1010252) (-641 "LFCAT.spad" 1008271 1008279 1009202 1009207) (-640 "LEXTRIPK.spad" 1003774 1003789 1008261 1008266) (-639 "LEXP.spad" 1001777 1001804 1003754 1003769) (-638 "LETAST.spad" 1001476 1001484 1001767 1001772) (-637 "LEADCDET.spad" 999874 999891 1001466 1001471) (-636 "LAZM3PK.spad" 998578 998600 999864 999869) (-635 "LAUPOL.spad" 997178 997191 998078 998147) (-634 "LAPLACE.spad" 996761 996777 997168 997173) (-633 "LA.spad" 996201 996215 996683 996722) (-632 "LALG.spad" 995977 995987 996181 996196) (-631 "LALG.spad" 995761 995773 995967 995972) (-630 "KVTFROM.spad" 995496 995506 995751 995756) (-629 "KTVLOGIC.spad" 995008 995016 995486 995491) (-628 "KRCFROM.spad" 994746 994756 994998 995003) (-627 "KOVACIC.spad" 993469 993486 994736 994741) (-626 "KONVERT.spad" 993191 993201 993459 993464) (-625 "KOERCE.spad" 992928 992938 993181 993186) (-624 "KERNEL.spad" 991583 991593 992712 992717) (-623 "KERNEL2.spad" 991286 991298 991573 991578) (-622 "KDAGG.spad" 990395 990417 991266 991281) (-621 "KDAGG.spad" 989512 989536 990385 990390) (-620 "KAFILE.spad" 988366 988382 988601 988628) (-619 "JORDAN.spad" 986195 986207 987656 987801) (-618 "JOINAST.spad" 985889 985897 986185 986190) (-617 "JAVACODE.spad" 985755 985763 985879 985884) (-616 "IXAGG.spad" 983888 983912 985745 985750) (-615 "IXAGG.spad" 981876 981902 983735 983740) (-614 "IVECTOR.spad" 980493 980508 980648 980675) (-613 "ITUPLE.spad" 979654 979664 980483 980488) (-612 "ITRIGMNP.spad" 978493 978512 979644 979649) (-611 "ITFUN3.spad" 977999 978013 978483 978488) (-610 "ITFUN2.spad" 977743 977755 977989 977994) (-609 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(-568 "INTDOM.spad" 903078 903086 904381 904450) (-567 "INTDOM.spad" 901763 901773 903068 903073) (-566 "INTCAT.spad" 900022 900032 901677 901758) (-565 "INTBIT.spad" 899529 899537 900012 900017) (-564 "INTALG.spad" 898717 898744 899519 899524) (-563 "INTAF.spad" 898217 898233 898707 898712) (-562 "INTABL.spad" 896293 896324 896456 896483) (-561 "INT8.spad" 896173 896181 896283 896288) (-560 "INT64.spad" 896052 896060 896163 896168) (-559 "INT32.spad" 895931 895939 896042 896047) (-558 "INT16.spad" 895810 895818 895921 895926) (-557 "INS.spad" 893313 893321 895712 895805) (-556 "INS.spad" 890902 890912 893303 893308) (-555 "INPSIGN.spad" 890350 890363 890892 890897) (-554 "INPRODPF.spad" 889446 889465 890340 890345) (-553 "INPRODFF.spad" 888534 888558 889436 889441) (-552 "INNMFACT.spad" 887509 887526 888524 888529) (-551 "INMODGCD.spad" 886997 887027 887499 887504) (-550 "INFSP.spad" 885294 885316 886987 886992) (-549 "INFPROD0.spad" 884374 884393 885284 885289) (-548 "INFORM.spad" 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861585 861612) (-527 "IFAMON.spad" 859757 859774 859851 859856) (-526 "IEVALAB.spad" 859162 859174 859747 859752) (-525 "IEVALAB.spad" 858565 858579 859152 859157) (-524 "IDPO.spad" 858185 858197 858555 858560) (-523 "IDPOAMS.spad" 857941 857953 858175 858180) (-522 "IDPOAM.spad" 857661 857673 857931 857936) (-521 "IDPC.spad" 856390 856402 857651 857656) (-520 "IDPAM.spad" 855955 855967 856380 856385) (-519 "IDPAG.spad" 855702 855714 855945 855950) (-518 "IDENT.spad" 855352 855360 855692 855697) (-517 "IDECOMP.spad" 852591 852609 855342 855347) (-516 "IDEAL.spad" 847540 847579 852526 852531) (-515 "ICDEN.spad" 846729 846745 847530 847535) (-514 "ICARD.spad" 845920 845928 846719 846724) (-513 "IBPTOOLS.spad" 844527 844544 845910 845915) (-512 "IBITS.spad" 843692 843705 844125 844152) (-511 "IBATOOL.spad" 840669 840688 843682 843687) (-510 "IBACHIN.spad" 839176 839191 840659 840664) (-509 "IARRAY2.spad" 838047 838073 838666 838693) (-508 "IARRAY1.spad" 836939 836954 837077 837104) (-507 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(-140 "CATCTOR.spad" 155958 155966 156057 156062) (-139 "CATAST.spad" 155576 155584 155948 155953) (-138 "CASEAST.spad" 155290 155298 155566 155571) (-137 "CARTEN.spad" 150657 150681 155280 155285) (-136 "CARTEN2.spad" 150047 150074 150647 150652) (-135 "CARD.spad" 147342 147350 150021 150042) (-134 "CAPSLAST.spad" 147116 147124 147332 147337) (-133 "CACHSET.spad" 146740 146748 147106 147111) (-132 "CABMON.spad" 146295 146303 146730 146735) (-131 "BYTEORD.spad" 145970 145978 146285 146290) (-130 "BYTE.spad" 145397 145405 145960 145965) (-129 "BYTEBUF.spad" 143095 143103 144405 144432) (-128 "BTREE.spad" 142051 142061 142585 142612) (-127 "BTOURN.spad" 140939 140949 141541 141568) (-126 "BTCAT.spad" 140331 140341 140907 140934) (-125 "BTCAT.spad" 139743 139755 140321 140326) (-124 "BTAGG.spad" 139209 139217 139711 139738) (-123 "BTAGG.spad" 138695 138705 139199 139204) (-122 "BSTREE.spad" 137319 137329 138185 138212) (-121 "BRILL.spad" 135516 135527 137309 137314) (-120 "BRAGG.spad" 134456 134466 135506 135511) (-119 "BRAGG.spad" 133360 133372 134412 134417) (-118 "BPADICRT.spad" 131234 131246 131489 131582) (-117 "BPADIC.spad" 130898 130910 131160 131229) (-116 "BOUNDZRO.spad" 130554 130571 130888 130893) (-115 "BOP.spad" 125736 125744 130544 130549) (-114 "BOP1.spad" 123202 123212 125726 125731) (-113 "BOOLE.spad" 122852 122860 123192 123197) (-112 "BOOLEAN.spad" 122290 122298 122842 122847) (-111 "BMODULE.spad" 122002 122014 122258 122285) (-110 "BITS.spad" 121385 121393 121600 121627) (-109 "BINDING.spad" 120798 120806 121375 121380) (-108 "BINARY.spad" 118812 118820 119168 119261) (-107 "BGAGG.spad" 118017 118027 118792 118807) (-106 "BGAGG.spad" 117230 117242 118007 118012) (-105 "BFUNCT.spad" 116794 116802 117210 117225) (-104 "BEZOUT.spad" 115934 115961 116744 116749) (-103 "BBTREE.spad" 112662 112672 115424 115451) (-102 "BASTYPE.spad" 112158 112166 112652 112657) (-101 "BASTYPE.spad" 111652 111662 112148 112153) (-100 "BALFACT.spad" 111111 111124 111642 111647) (-99 "AUTOMOR.spad" 110562 110571 111091 111106) (-98 "ATTREG.spad" 107285 107292 110314 110557) (-97 "ATTRBUT.spad" 103308 103315 107265 107280) (-96 "ATTRAST.spad" 103025 103032 103298 103303) (-95 "ATRIG.spad" 102495 102502 103015 103020) (-94 "ATRIG.spad" 101963 101972 102485 102490) (-93 "ASTCAT.spad" 101867 101874 101953 101958) (-92 "ASTCAT.spad" 101769 101778 101857 101862) (-91 "ASTACK.spad" 100991 101000 101259 101286) (-90 "ASSOCEQ.spad" 99817 99828 100947 100952) (-89 "ASP9.spad" 98898 98911 99807 99812) (-88 "ASP8.spad" 97941 97954 98888 98893) (-87 "ASP80.spad" 97263 97276 97931 97936) (-86 "ASP7.spad" 96423 96436 97253 97258) (-85 "ASP78.spad" 95874 95887 96413 96418) (-84 "ASP77.spad" 95243 95256 95864 95869) (-83 "ASP74.spad" 94335 94348 95233 95238) (-82 "ASP73.spad" 93606 93619 94325 94330) (-81 "ASP6.spad" 92473 92486 93596 93601) (-80 "ASP55.spad" 90982 90995 92463 92468) (-79 "ASP50.spad" 88799 88812 90972 90977) (-78 "ASP4.spad" 88094 88107 88789 88794) (-77 "ASP49.spad" 87093 87106 88084 88089) (-76 "ASP42.spad" 85500 85539 87083 87088) (-75 "ASP41.spad" 84079 84118 85490 85495) (-74 "ASP35.spad" 83067 83080 84069 84074) (-73 "ASP34.spad" 82368 82381 83057 83062) (-72 "ASP33.spad" 81928 81941 82358 82363) (-71 "ASP31.spad" 81068 81081 81918 81923) (-70 "ASP30.spad" 79960 79973 81058 81063) (-69 "ASP29.spad" 79426 79439 79950 79955) (-68 "ASP28.spad" 70699 70712 79416 79421) (-67 "ASP27.spad" 69596 69609 70689 70694) (-66 "ASP24.spad" 68683 68696 69586 69591) (-65 "ASP20.spad" 68147 68160 68673 68678) (-64 "ASP1.spad" 67528 67541 68137 68142) (-63 "ASP19.spad" 62214 62227 67518 67523) (-62 "ASP12.spad" 61628 61641 62204 62209) (-61 "ASP10.spad" 60899 60912 61618 61623) (-60 "ARRAY2.spad" 60142 60151 60389 60416) (-59 "ARRAY1.spad" 58826 58835 59172 59199) (-58 "ARRAY12.spad" 57539 57550 58816 58821) (-57 "ARR2CAT.spad" 53313 53334 57507 57534) (-56 "ARR2CAT.spad" 49107 49130 53303 53308) (-55 "ARITY.spad" 48479 48486 49097 49102) (-54 "APPRULE.spad" 47739 47761 48469 48474) (-53 "APPLYORE.spad" 47358 47371 47729 47734) (-52 "ANY.spad" 46217 46224 47348 47353) (-51 "ANY1.spad" 45288 45297 46207 46212) (-50 "ANTISYM.spad" 43733 43749 45268 45283) (-49 "ANON.spad" 43426 43433 43723 43728) (-48 "AN.spad" 41735 41742 43242 43335) (-47 "AMR.spad" 39920 39931 41633 41730) (-46 "AMR.spad" 37942 37955 39657 39662) (-45 "ALIST.spad" 34842 34863 35192 35219) (-44 "ALGSC.spad" 33977 34003 34714 34767) (-43 "ALGPKG.spad" 29760 29771 33933 33938) (-42 "ALGMFACT.spad" 28953 28967 29750 29755) (-41 "ALGMANIP.spad" 26427 26442 28786 28791) (-40 "ALGFF.spad" 24068 24095 24285 24441) (-39 "ALGFACT.spad" 23195 23205 24058 24063) (-38 "ALGEBRA.spad" 23028 23037 23151 23190) (-37 "ALGEBRA.spad" 22893 22904 23018 23023) (-36 "ALAGG.spad" 22405 22426 22861 22888) (-35 "AHYP.spad" 21786 21793 22395 22400) (-34 "AGG.spad" 20103 20110 21776 21781) (-33 "AGG.spad" 18384 18393 20059 20064) (-32 "AF.spad" 16815 16830 18319 18324) (-31 "ADDAST.spad" 16493 16500 16805 16810) (-30 "ACPLOT.spad" 15084 15091 16483 16488) (-29 "ACFS.spad" 12893 12902 14986 15079) (-28 "ACFS.spad" 10788 10799 12883 12888) (-27 "ACF.spad" 7470 7477 10690 10783) (-26 "ACF.spad" 4238 4247 7460 7465) (-25 "ABELSG.spad" 3779 3786 4228 4233) (-24 "ABELSG.spad" 3318 3327 3769 3774) (-23 "ABELMON.spad" 2861 2868 3308 3313) (-22 "ABELMON.spad" 2402 2411 2851 2856) (-21 "ABELGRP.spad" 2067 2074 2392 2397) (-20 "ABELGRP.spad" 1730 1739 2057 2062) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865)) 
+\ No newline at end of file
diff --git a/src/share/algebra/category.daase b/src/share/algebra/category.daase
index 372a3ec5..afc7c6a5 100644
--- a/src/share/algebra/category.daase
+++ b/src/share/algebra/category.daase
@@ -1,15 +1,15 @@
 
-(204908 . 3486820635)        
-(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) ((#0=(-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) #0#) |has| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (-319 (-2 (|:| -4300 |#1|) (|:| -4438 |#2|))))) 
-((((-576)) . T) (($) -2758 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (((-419 (-576))) -2758 (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-1059 (-419 (-576))))) ((|#1|) . T)) 
+(204908 . 3486833889)        
+(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) ((#0=(-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) #0#) |has| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (-319 (-2 (|:| -4301 |#1|) (|:| -4440 |#2|))))) 
+((((-576)) . T) (($) -2760 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (((-419 (-576))) -2760 (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-1059 (-419 (-576))))) ((|#1|) . T)) 
 (((|#2| |#2|) . T)) 
 ((((-576)) . T)) 
-((($ $) -2758 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) ((|#2| |#2|) . T) ((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576))))) 
+((($ $) -2760 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) ((|#2| |#2|) . T) ((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576))))) 
 ((($) . T)) 
 (((|#1|) . T)) 
 ((($) . T) (((-576)) |has| |#1| (-651 (-576))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#2|) . T)) 
-((($) -2758 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) ((|#2|) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) ((|#2|) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) 
 (|has| |#1| (-928)) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
@@ -22,23 +22,23 @@
 ((((-548)) . T) (((-1179)) . T) (((-227)) . T) (((-390)) . T) (((-907 (-390))) . T)) 
 (((|#1|) . T)) 
 ((((-227)) . T) (((-876)) . T)) 
-(-2758 (|has| |#2| (-805)) (|has| |#2| (-861))) 
-(-2758 (-12 (|has| |#1| (-805)) (|has| |#2| (-805))) (-12 (|has| |#1| (-861)) (|has| |#2| (-861)))) 
+(-2760 (|has| |#2| (-805)) (|has| |#2| (-861))) 
+(-2760 (-12 (|has| |#1| (-805)) (|has| |#2| (-805))) (-12 (|has| |#1| (-861)) (|has| |#2| (-861)))) 
 (((|#1|) . T)) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
-(-2758 (|has| |#1| (-21)) (|has| |#1| (-860))) 
-((($ $) . T) ((#0=(-419 (-576)) #0#) -2758 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1| |#1|) . T)) 
-(-2758 (|has| |#1| (-832)) (|has| |#1| (-861))) 
+(-2760 (|has| |#1| (-21)) (|has| |#1| (-860))) 
+((($ $) . T) ((#0=(-419 (-576)) #0#) -2760 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1| |#1|) . T)) 
+(-2760 (|has| |#1| (-832)) (|has| |#1| (-861))) 
 ((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) (((-576)) |has| |#1| (-1059 (-576))) ((|#1|) . T)) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-568))) 
 (|has| |#1| (-860)) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 ((((-326 |#1|)) . T) (((-576)) . T) (($) . T)) 
 (((|#1| |#2| |#3|) . T)) 
 ((((-576)) . T) (((-884 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) 
-((($) . T) (((-419 (-576))) -2758 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
+((($) . T) (((-419 (-576))) -2760 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
 ((((-419 (-576))) . T) (((-711)) . T) (($) . T)) 
 ((((-876)) . T)) 
 ((((-1202)) . T)) 
@@ -51,14 +51,14 @@
 (((|#1|) . T) ((|#2|) . T)) 
 ((((-1202)) . T)) 
 (((|#1|) . T) (((-576)) |has| |#1| (-1059 (-576))) (((-419 (-576))) |has| |#1| (-1059 (-419 (-576))))) 
-(-2758 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
-(-2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
-(((|#2| (-494 (-3502 |#1|) (-783))) . T)) 
-((((-1197)) -2758 (|has| (-419 |#2|) (-917 (-1197))) (|has| (-419 |#2|) (-919 (-1197))))) 
+(-2760 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
+(-2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+(((|#2| (-494 (-3503 |#1|) (-783))) . T)) 
+((((-1197)) -2760 (|has| (-419 |#2|) (-917 (-1197))) (|has| (-419 |#2|) (-919 (-1197))))) 
 (((|#1| (-543 (-1197))) . T)) 
 ((((-1179)) . T) (((-977 (-130))) . T) (((-876)) . T)) 
 ((((-876)) . T)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 (((#0=(-884 |#1|) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) 
 (|has| |#4| (-379)) 
 (|has| |#3| (-379)) 
@@ -74,14 +74,14 @@
 (|has| |#1| (-146)) 
 (|has| |#1| (-148)) 
 (|has| |#1| (-568)) 
-((((-576)) . T) (((-419 (-576))) -2758 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1059 (-419 (-576))))) ((|#2|) . T) (($) -2758 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) (((-878 |#1|)) . T)) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-568))) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-568))) 
-((((-2 (|:| -3223 |#1|) (|:| -4210 |#2|))) . T)) 
+((((-576)) . T) (((-419 (-576))) -2760 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1059 (-419 (-576))))) ((|#2|) . T) (($) -2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) (((-878 |#1|)) . T)) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+((((-2 (|:| -3224 |#1|) (|:| -3422 |#2|))) . T)) 
 ((($) . T)) 
 (((|#1|) . T)) 
-((((-576)) . T) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) ((|#1|) . T) (($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) (((-1197)) . T)) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
+((((-576)) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) ((|#1|) . T) (($) -2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) (((-1197)) . T)) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
 ((((-1197)) . T)) 
 (((|#1|) . T)) 
@@ -102,12 +102,12 @@
 ((((-876)) . T)) 
 (((|#1| |#2|) . T)) 
 (((|#1|) . T)) 
-(((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576)))) ((|#2| |#2|) . T) (($ $) -2758 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
+(((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576)))) ((|#2| |#2|) . T) (($ $) -2760 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
 (|has| |#1| (-1121)) 
 (((|#1|) . T)) 
 ((((-117 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2758 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
-((($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
+((($) -2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 ((((-117 |#1|)) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
@@ -115,14 +115,14 @@
 ((((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T)) 
 (((|#2|) . T) (((-576)) . T) ((|#6|) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -2758 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -2760 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
 ((($) . T)) 
 ((($) . T)) 
 (((|#2|) . T)) 
 (((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) (((-576)) . T) (($) . T)) 
 ((((-576)) . T) (($) . T) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928)))) 
-(((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576)))) ((|#1| |#1|) . T) (($ $) -2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928)))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928)))) 
+(((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576)))) ((|#1| |#1|) . T) (($ $) -2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928)))) 
 ((($ $) . T)) 
 ((($) . T)) 
 ((((-576)) . T) (($) . T) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
@@ -131,30 +131,30 @@
 (|has| |#1| (-379)) 
 (((|#1|) . T)) 
 ((((-876)) . T)) 
-((((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1280 |#1| |#2| |#3|)) |has| |#1| (-374)) (($) . T) ((|#1|) . T)) 
+((((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1280 |#1| |#2| |#3|)) |has| |#1| (-374)) (($) . T) ((|#1|) . T)) 
 (((|#1|) . T)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
-(((|#1|) . T) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
+(((|#1|) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) (($) . T)) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) 
 ((((-576)) . T)) 
 ((((-876)) . T)) 
 (((|#1| |#2|) . T)) 
-(-2758 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) 
-(-2758 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) 
-((($) -2758 (|has| |#1| (-238)) (|has| |#1| (-237)))) 
+(-2760 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) 
+(-2760 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) 
+((($) -2760 (|has| |#1| (-238)) (|has| |#1| (-237)))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 (|has| |#1| (-568)) 
 (((|#1|) . T) (((-576)) . T) (($) . T)) 
 ((((-419 |#2|)) . T) (((-419 (-576))) . T) (($) . T)) 
-(-2758 (|has| |#1| (-21)) (|has| |#1| (-860))) 
+(-2760 (|has| |#1| (-21)) (|has| |#1| (-860))) 
 ((($ $) . T) ((#0=(-419 (-576)) #0#) . T)) 
-(-2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
-(-2758 (|has| |#1| (-861)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-2760 (|has| |#1| (-861)) (|has| |#1| (-1121))) 
 (|has| |#1| (-1121)) 
-(-2758 (|has| |#1| (-861)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-861)) (|has| |#1| (-1121))) 
 (|has| |#1| (-1121)) 
-(-2758 (|has| |#1| (-861)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-861)) (|has| |#1| (-1121))) 
 (|has| |#1| (-860)) 
 (((|#1| |#1|) . T)) 
 ((($) . T) (((-419 (-576))) . T)) 
@@ -169,12 +169,12 @@
 (|has| |#3| (-805)) 
 (|has| |#3| (-805)) 
 (((|#1| |#2|) . T)) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-360))) 
 ((((-1202)) . T)) 
 (((|#1| |#2|) . T)) 
 (((|#2| |#2|) -12 (|has| |#1| (-374)) (|has| |#2| (-319 |#2|))) (((-1197) |#2|) -12 (|has| |#1| (-374)) (|has| |#2| (-526 (-1197) |#2|)))) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
 ((((-576)) . T) (((-419 (-576))) . T)) 
 (((|#1| (-1197) (-1109 (-1197)) (-543 (-1109 (-1197)))) . T)) 
 ((((-576) |#1|) . T)) 
@@ -194,29 +194,29 @@
 ((((-1179) |#1|) . T)) 
 ((((-1255 (-576)) $) . T) (((-576) (-130)) . T)) 
 (((|#1|) . T)) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
 (((|#3| (-783)) . T)) 
 (|has| |#1| (-148)) 
 (|has| |#1| (-146)) 
 ((($) . T) (((-419 (-576))) . T)) 
 ((($) . T)) 
 ((($) . T)) 
-(-2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
-(-2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
 ((((-419 (-576))) . T) (($) . T)) 
 ((($) . T)) 
 ((($) . T)) 
 (|has| |#1| (-1121)) 
 ((((-419 (-576))) . T) (((-576)) . T)) 
 ((((-576)) . T) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-1059 (-419 (-576))))) 
-((((-576)) . T) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) ((|#1|) . T) (($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#2|) . T)) 
+((((-576)) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) ((|#1|) . T) (($) -2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#2|) . T)) 
 ((((-1197) |#2|) |has| |#2| (-526 (-1197) |#2|)) ((|#2| |#2|) |has| |#2| (-319 |#2|))) 
 ((((-419 (-576))) . T) (((-576)) . T)) 
-((((-576)) . T) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) (((-1103)) . T) ((|#1|) . T) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576)))))) 
+((((-576)) . T) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) (((-1103)) . T) ((|#1|) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576)))))) 
 (((|#1|) . T) (($) . T)) 
 ((((-576)) . T)) 
 ((((-576)) . T)) 
-((($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) 
+((($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) 
 ((((-576)) . T)) 
 ((((-576)) . T)) 
 ((((-419 (-576))) . T) (($) . T)) 
@@ -227,7 +227,7 @@
 (((|#1|) . T)) 
 (|has| |#2| (-374)) 
 ((((-1255 (-576)) $) . T) (((-576) |#1|) . T)) 
-((($) -2758 (|has| (-419 |#2|) (-238)) (|has| (-419 |#2|) (-237)))) 
+((($) -2760 (|has| (-419 |#2|) (-238)) (|has| (-419 |#2|) (-237)))) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) . T)) 
 (((|#1| |#2|) . T)) 
 ((((-876)) . T)) 
@@ -240,13 +240,13 @@
 ((((-876)) . T)) 
 ((((-876)) . T)) 
 (((|#1| |#1|) . T)) 
-(((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576)))) ((|#1| |#1|) . T) (($ $) -2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928)))) 
-((($ $) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
+(((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576)))) ((|#1| |#1|) . T) (($ $) -2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928)))) 
+((($ $) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928)))) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-(((|#2|) -2758 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070))) (($) |has| |#2| (-1070)) (((-576)) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1070)))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928)))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+(((|#2|) -2760 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070))) (($) |has| |#2| (-1070)) (((-576)) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1070)))) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
@@ -257,10 +257,10 @@
 ((((-171 (-227))) |has| |#1| (-1043)) (((-171 (-390))) |has| |#1| (-1043)) (((-548)) |has| |#1| (-626 (-548))) (((-1193 |#1|)) . T) (((-907 (-576))) |has| |#1| (-626 (-907 (-576)))) (((-907 (-390))) |has| |#1| (-626 (-907 (-390))))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 (((|#1|) . T)) 
-(-2758 (|has| |#1| (-21)) (|has| |#1| (-860))) 
-(-2758 (|has| |#1| (-21)) (|has| |#1| (-860))) 
-((((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#2|) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
-(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+(-2760 (|has| |#1| (-21)) (|has| |#1| (-860))) 
+(-2760 (|has| |#1| (-21)) (|has| |#1| (-860))) 
+((((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#2|) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
+(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
 (|has| |#1| (-374)) 
 ((((-876)) . T)) 
 ((($) . T)) 
@@ -268,7 +268,7 @@
 ((((-130)) . T)) 
 (-12 (|has| |#4| (-238)) (|has| |#4| (-1070))) 
 (-12 (|has| |#3| (-238)) (|has| |#3| (-1070))) 
-((($) -2758 (|has| |#2| (-238)) (|has| |#2| (-237)))) 
+((($) -2760 (|has| |#2| (-238)) (|has| |#2| (-237)))) 
 (|has| |#4| (-1070)) 
 (|has| |#3| (-1070)) 
 ((((-876)) . T) (((-1202)) . T)) 
@@ -279,45 +279,45 @@
 (((|#1|) . T)) 
 ((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) (((-576)) |has| |#1| (-1059 (-576))) ((|#1|) . T)) 
 (((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) 
-(((|#2|) . T) (((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
-(((|#1|) . T) (((-2 (|:| -4300 (-1179)) (|:| -4438 |#1|))) . T)) 
+(((|#2|) . T) (((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
+(((|#1|) . T) (((-2 (|:| -4301 (-1179)) (|:| -4440 |#1|))) . T)) 
 (|has| |#1| (-568)) 
-((((-576)) -2758 (-12 (|has| |#4| (-1059 (-576))) (|has| |#4| (-1121))) (|has| |#4| (-1070))) ((|#4|) |has| |#4| (-1121)) (((-419 (-576))) -12 (|has| |#4| (-1059 (-419 (-576)))) (|has| |#4| (-1121)))) 
-((((-576)) -2758 (-12 (|has| |#3| (-1059 (-576))) (|has| |#3| (-1121))) (|has| |#3| (-1070))) ((|#3|) |has| |#3| (-1121)) (((-419 (-576))) -12 (|has| |#3| (-1059 (-419 (-576)))) (|has| |#3| (-1121)))) 
+((((-576)) -2760 (-12 (|has| |#4| (-1059 (-576))) (|has| |#4| (-1121))) (|has| |#4| (-1070))) ((|#4|) |has| |#4| (-1121)) (((-419 (-576))) -12 (|has| |#4| (-1059 (-419 (-576)))) (|has| |#4| (-1121)))) 
+((((-576)) -2760 (-12 (|has| |#3| (-1059 (-576))) (|has| |#3| (-1121))) (|has| |#3| (-1070))) ((|#3|) |has| |#3| (-1121)) (((-419 (-576))) -12 (|has| |#3| (-1059 (-419 (-576)))) (|has| |#3| (-1121)))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 (|has| |#1| (-568)) 
-(-2758 (|has| |#1| (-861)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-861)) (|has| |#1| (-1121))) 
 (((|#1|) . T)) 
 (|has| |#1| (-568)) 
 ((((-878 |#1|)) . T)) 
 (|has| |#1| (-568)) 
 (|has| |#1| (-568)) 
 (((|#2|) . T)) 
-((((-1197)) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (((-1103)) . T)) 
+((((-1197)) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (((-1103)) . T)) 
 ((((-711)) . T)) 
 (((|#1|) . T)) 
-((((-1197)) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (((-1109 (-1197))) . T)) 
+((((-1197)) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (((-1109 (-1197))) . T)) 
 (-12 (|has| |#1| (-1023)) (|has| |#1| (-1223))) 
 ((((-419 |#2|)) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#2|) . T) (($) . T) (((-419 (-576))) . T)) 
 ((((-419 |#2|)) . T) (((-419 (-576))) . T) (($) . T)) 
 (-12 (|has| |#1| (-1121)) (|has| |#2| (-1121))) 
 ((($) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T)) 
-((((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1195 |#1| |#2| |#3|)) |has| |#1| (-374)) (($) . T) ((|#1|) . T)) 
-(((|#1|) . T) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) . T)) 
+((((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1195 |#1| |#2| |#3|)) |has| |#1| (-374)) (($) . T) ((|#1|) . T)) 
+(((|#1|) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) (($) . T)) 
-(((|#4| |#4|) -2758 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-1070)))) 
-(((|#3| |#3|) -2758 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070)))) 
+(((|#4| |#4|) -2760 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-1070)))) 
+(((|#3| |#3|) -2760 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070)))) 
 (((|#2|) . T)) 
 (((|#1|) . T)) 
 ((((-548)) |has| |#2| (-626 (-548))) (((-907 (-390))) |has| |#2| (-626 (-907 (-390)))) (((-907 (-576))) |has| |#2| (-626 (-907 (-576))))) 
 ((((-876)) . T)) 
 (((|#1| |#2| |#3| |#4|) . T)) 
-((((-2 (|:| -3223 |#1|) (|:| -4210 |#2|))) . T) (((-876)) . T)) 
+((((-2 (|:| -3224 |#1|) (|:| -3422 |#2|))) . T) (((-876)) . T)) 
 ((((-548)) |has| |#1| (-626 (-548))) (((-907 (-390))) |has| |#1| (-626 (-907 (-390)))) (((-907 (-576))) |has| |#1| (-626 (-907 (-576))))) 
-(((|#4|) -2758 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-1070)))) 
-(((|#3|) -2758 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070)))) 
-((((-2 (|:| -3223 |#1|) (|:| -4210 |#2|))) . T)) 
+(((|#4|) -2760 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-1070)))) 
+(((|#3|) -2760 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070)))) 
+((((-2 (|:| -3224 |#1|) (|:| -3422 |#2|))) . T)) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
 ((((-548)) . T) (((-576)) . T) (((-907 (-576))) . T) (((-390)) . T) (((-227)) . T)) 
@@ -325,15 +325,15 @@
 (((|#1|) . T) (((-576)) |has| |#1| (-1059 (-576))) (((-419 (-576))) |has| |#1| (-1059 (-419 (-576))))) 
 ((($) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) 
 ((((-419 $) (-419 $)) |has| |#2| (-568)) (($ $) . T) ((|#2| |#2|) . T)) 
-((($ (-1197)) -2758 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) 
-((((-2 (|:| -4300 (-1179)) (|:| -4438 (-52)))) . T)) 
+((($ (-1197)) -2760 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) 
+((((-2 (|:| -4301 (-1179)) (|:| -4440 (-52)))) . T)) 
 (((|#1|) . T)) 
 (|has| |#2| (-928)) 
 ((((-1179) (-52)) . T)) 
 ((((-576)) |has| #0=(-419 |#2|) (-651 (-576))) ((#0#) . T)) 
 ((((-548)) . T) (((-227)) . T) (((-390)) . T) (((-907 (-390))) . T)) 
 ((((-876)) . T)) 
-(-2758 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) 
+(-2760 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) 
 (((|#1|) |has| |#1| (-174))) 
 (((|#1| $) |has| |#1| (-296 |#1| |#1|))) 
 ((((-876)) . T)) 
@@ -347,15 +347,15 @@
 (|has| |#1| (-1121)) 
 ((((-929 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#1|) . T)) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
 ((((-876)) . T) (((-1202)) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2758 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
 ((((-1202)) . T)) 
-((($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((($) -2758 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (|has| |#1| (-238)) 
-((($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1| (-543 (-830 (-1197)))) . T)) 
 (((|#1| (-992)) . T)) 
 ((((-576)) . T) ((|#2|) . T)) 
@@ -367,7 +367,7 @@
 (((|#1|) . T)) 
 (((|#2| |#2|) . T)) 
 (|has| |#1| (-1173)) 
-((((-2 (|:| -4300 (-1179)) (|:| -4438 |#1|))) . T)) 
+((((-2 (|:| -4301 (-1179)) (|:| -4440 |#1|))) . T)) 
 (|has| (-1274 |#1| |#2| |#3| |#4|) (-146)) 
 (|has| (-1274 |#1| |#2| |#3| |#4|) (-148)) 
 (|has| |#1| (-146)) 
@@ -379,28 +379,28 @@
 (((|#2|) . T)) 
 (((|#1|) . T)) 
 (((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) 
-((((-1146 |#1| (-1197))) . T) (((-576)) . T) (((-830 (-1197))) . T) (($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) (((-1197)) . T)) 
+((((-1146 |#1| (-1197))) . T) (((-576)) . T) (((-830 (-1197))) . T) (($) -2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) (((-1197)) . T)) 
 (|has| |#2| (-379)) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 ((($) . T) ((|#1|) . T)) 
 (((|#2|) |has| |#2| (-1070))) 
 ((((-876)) . T)) 
 (|has| |#1| (-860)) 
-(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) ((#0=(-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) #0#) |has| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (-319 (-2 (|:| -4300 |#1|) (|:| -4438 |#2|))))) 
+(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) ((#0=(-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) #0#) |has| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (-319 (-2 (|:| -4301 |#1|) (|:| -4440 |#2|))))) 
 (((|#1|) . T)) 
-((((-1288 (-350 (-3581) (-3581 (QUOTE X)) (-711)))) . T)) 
-(((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))) ((#0=(-2 (|:| -4300 (-1179)) (|:| -4438 |#1|)) #0#) |has| (-2 (|:| -4300 (-1179)) (|:| -4438 |#1|)) (-319 (-2 (|:| -4300 (-1179)) (|:| -4438 |#1|))))) 
+((((-1288 (-350 (-3582) (-3582 (QUOTE X)) (-711)))) . T)) 
+(((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))) ((#0=(-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) #0#) |has| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (-319 (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|))))) 
 ((((-876)) . T)) 
 ((((-576) |#1|) . T)) 
 ((((-548)) -12 (|has| |#1| (-626 (-548))) (|has| |#2| (-626 (-548)))) (((-907 (-390))) -12 (|has| |#1| (-626 (-907 (-390)))) (|has| |#2| (-626 (-907 (-390))))) (((-907 (-576))) -12 (|has| |#1| (-626 (-907 (-576)))) (|has| |#2| (-626 (-907 (-576)))))) 
 ((($) . T)) 
 ((((-876)) . T)) 
-((($ $) -2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
+((($ $) -2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
 ((((-876)) . T)) 
 ((($) . T)) 
 ((($) . T)) 
 ((($) . T)) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
 (|has| (-1273 |#2| |#3| |#4|) (-148)) 
@@ -411,18 +411,18 @@
 ((((-876)) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-(-2758 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) 
+(-2760 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) 
 (((|#1|) . T)) 
 ((($) . T)) 
 ((((-576) |#1|) . T)) 
 (((|#2|) |has| |#2| (-174))) 
 (((|#1|) . T)) 
 (((|#1|) |has| |#1| (-174))) 
-(-2758 (|has| |#1| (-21)) (|has| |#1| (-860))) 
+(-2760 (|has| |#1| (-21)) (|has| |#1| (-860))) 
 ((((-876)) |has| |#1| (-1121))) 
-((($) -2758 (|has| |#1| (-238)) (|has| |#1| (-237)))) 
-(-2758 (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070)) (|has| |#1| (-1133))) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-360))) 
+((($) -2760 (|has| |#1| (-238)) (|has| |#1| (-237)))) 
+(-2760 (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070)) (|has| |#1| (-1133))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-360))) 
 ((((-929 |#1|)) . T)) 
 ((((-419 |#2|) |#3|) . T)) 
 (|has| |#1| (-15 * (|#1| (-576) |#1|))) 
@@ -433,7 +433,7 @@
 ((((-876)) . T)) 
 ((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-568))) 
 (|has| |#1| (-374)) 
-(-2758 (-12 (|has| (-1280 |#1| |#2| |#3|) (-238)) (|has| |#1| (-374))) (|has| |#1| (-15 * (|#1| (-576) |#1|)))) 
+(-2760 (-12 (|has| (-1280 |#1| |#2| |#3|) (-238)) (|has| |#1| (-374))) (|has| |#1| (-15 * (|#1| (-576) |#1|)))) 
 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-15 * (|#1| (-783) |#1|))) 
@@ -447,23 +447,23 @@
 ((((-1255 (-576)) $) . T) (((-576) |#1|) . T)) 
 ((((-876)) . T)) 
 (((|#2|) . T)) 
-(-2758 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
+(-2760 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
 ((((-576)) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-568))) 
 ((($) |has| |#1| (-568)) (((-576)) . T)) 
 (|has| |#2| (-805)) 
 (|has| |#2| (-805)) 
-((((-1280 |#1| |#2| |#3|)) . T) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-576)) . T) ((|#1|) |has| |#1| (-174))) 
-((((-1284 |#2|)) . T) (((-1280 |#1| |#2| |#3|)) . T) (((-1252 |#1| |#2| |#3|)) . T) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-576)) . T) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+((((-1280 |#1| |#2| |#3|)) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-576)) . T) ((|#1|) |has| |#1| (-174))) 
+((((-1284 |#2|)) . T) (((-1280 |#1| |#2| |#3|)) . T) (((-1252 |#1| |#2| |#3|)) . T) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-576)) . T) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) (((-576)) . T)) 
 (((|#1|) . T)) 
 ((((-1197)) -12 (|has| |#3| (-917 (-1197))) (|has| |#3| (-1070)))) 
 (((|#1|) . T)) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 (-12 (|has| |#1| (-374)) (|has| |#2| (-832))) 
-(-2758 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) 
-(((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576)))) ((|#1| |#1|) . T) (($ $) -2758 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
+(-2760 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) 
+(((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576)))) ((|#1| |#1|) . T) (($ $) -2760 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
 ((($ $) |has| |#1| (-568)) ((|#1| |#1|) . T)) 
-((($ (-1197)) -2758 (|has| (-419 |#2|) (-917 (-1197))) (|has| (-419 |#2|) (-919 (-1197))))) 
+((($ (-1197)) -2760 (|has| (-419 |#2|) (-917 (-1197))) (|has| (-419 |#2|) (-919 (-1197))))) 
 (((#0=(-711) (-1193 #0#)) . T)) 
 ((((-593 |#1|)) . T) (((-419 (-576))) . T) (($) . T)) 
 ((((-419 (-576))) . T) (($) . T)) 
@@ -471,18 +471,18 @@
 ((((-876)) . T) (((-1288 |#3|)) . T)) 
 ((((-593 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) 
 ((($) . T) (((-419 (-576))) . T)) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2758 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2760 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
 ((($) |has| |#1| (-568)) ((|#1|) . T)) 
 ((((-876)) . T)) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) . T)) 
 ((($) . T)) 
-((($ $) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((#1=(-1280 |#1| |#2| |#3|) #1#) |has| |#1| (-374)) ((|#1| |#1|) . T)) 
-(((|#1| |#1|) . T) (($ $) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1280 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) . T)) 
-(((|#1|) . T) (($) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
+((($ $) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((#1=(-1280 |#1| |#2| |#3|) #1#) |has| |#1| (-374)) ((|#1| |#1|) . T)) 
+(((|#1| |#1|) . T) (($ $) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1280 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) . T)) 
+(((|#1|) . T) (($) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
 (((|#3|) |has| |#3| (-1070))) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((($ $) -2758 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($ $) -2760 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
 (|has| (-1115 |#1|) (-1121)) 
 (((|#2| (-831 |#1|)) . T)) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T)) 
@@ -490,20 +490,20 @@
 (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2758 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
 (((|#2|) . T) ((|#6|) . T)) 
 (|has| |#1| (-374)) 
 ((((-576)) . T) ((|#2|) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -2758 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -2760 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
 (((|#2|) . T) ((|#6|) . T)) 
-((($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((($) -2758 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1|) . T)) 
-((($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((((-419 $) (-419 $)) |has| |#1| (-568)) (($ $) . T) ((|#1| |#1|) . T)) 
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 (((#0=(-1103) |#2|) . T) ((#0# $) . T) (($ $) . T)) 
 ((((-876)) . T)) 
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@@ -512,22 +512,22 @@
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-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
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+((((-2 (|:| -4301 (-1197)) (|:| -4440 (-52)))) . T)) 
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 (((|#1|) . T)) 
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 ((($) . T)) 
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 (((|#1| |#2|) . T)) 
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@@ -536,15 +536,15 @@
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@@ -558,12 +558,12 @@
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@@ -590,7 +590,7 @@
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@@ -599,92 +599,92 @@
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 ((($) . T)) 
 (((#0=(-1103) |#1|) . T) ((#0# $) . T) (($ $) . T)) 
-((($ (-1197)) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (($ (-1109 (-1197))) . T)) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) 
+((($ (-1197)) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (($ (-1109 (-1197))) . T)) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) 
 (((|#1|) . T)) 
 (((|#2|) |has| |#2| (-1121)) (((-576)) -12 (|has| |#2| (-1059 (-576))) (|has| |#2| (-1121))) (((-419 (-576))) -12 (|has| |#2| (-1059 (-419 (-576)))) (|has| |#2| (-1121)))) 
 (((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) (($) . T)) 
@@ -711,8 +711,8 @@
 (|has| |#1| (-146)) 
 (|has| |#1| (-148)) 
 ((((-1202)) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2758 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
-((($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
+((($) -2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((((-419 (-576))) . T) (($) . T)) 
 ((((-419 (-576))) . T) (($) . T)) 
 ((((-419 (-576))) . T) (($) . T)) 
@@ -723,13 +723,13 @@
 (((|#1| (-783) (-1103)) . T)) 
 ((((-419 (-576))) |has| |#2| (-374)) (($) . T)) 
 (((|#1| (-543 (-1109 (-1197))) (-1109 (-1197))) . T)) 
-(-2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+(-2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
 ((((-1197)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-917 (-1197))))) 
 (((|#2|) . T)) 
-(-2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+(-2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
 (((|#1|) . T)) 
 (((|#2|) . T)) 
-((((-1020 |#1|)) . T) (((-576)) . T) ((|#1|) . T) (((-419 (-576))) -2758 (|has| (-1020 |#1|) (-1059 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576)))))) 
+((((-1020 |#1|)) . T) (((-576)) . T) ((|#1|) . T) (((-419 (-576))) -2760 (|has| (-1020 |#1|) (-1059 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576)))))) 
 (|has| |#2| (-1070)) 
 (|has| |#2| (-805)) 
 (|has| |#2| (-805)) 
@@ -760,45 +760,45 @@
 ((((-783) |#1|) . T) (($ $) . T)) 
 (((|#1|) . T)) 
 ((($ (-1197)) . T)) 
-(-2758 (|has| |#1| (-832)) (|has| |#1| (-861))) 
+(-2760 (|has| |#1| (-832)) (|has| |#1| (-861))) 
 ((((-1161 |#1| |#2|)) |has| (-1161 |#1| |#2|) (-319 (-1161 |#1| |#2|)))) 
 (((|#4| |#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1121)))) 
 (((|#3| |#3|) -12 (|has| |#3| (-319 |#3|)) (|has| |#3| (-1121)))) 
-(((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) (((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) |has| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (-319 (-2 (|:| -4300 |#1|) (|:| -4438 |#2|))))) 
+(((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) (((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) |has| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (-319 (-2 (|:| -4301 |#1|) (|:| -4440 |#2|))))) 
 (((|#2|) . T) (((-576)) |has| |#2| (-1059 (-576))) (((-419 (-576))) |has| |#2| (-1059 (-419 (-576))))) 
 (|has| |#1| (-860)) 
 (((|#1|) . T)) 
-((((-1197)) -2758 (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197)))) (-12 (|has| |#1| (-374)) (|has| |#2| (-917 (-1197)))) (-12 (|has| |#1| (-374)) (|has| |#2| (-919 (-1197)))))) 
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 (((|#1| |#2|) . T)) 
 ((((-1197)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-917 (-1197))))) 
 ((($) . T)) 
 ((($) . T)) 
 (((|#2|) . T)) 
 (((|#3|) . T)) 
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 (((|#2|) . T)) 
-((((-876)) -2758 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-625 (-876))) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-861)) (|has| |#2| (-1070)) (|has| |#2| (-1121))) (((-1288 |#2|)) . T)) 
+((((-876)) -2760 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-625 (-876))) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-861)) (|has| |#2| (-1070)) (|has| |#2| (-1121))) (((-1288 |#2|)) . T)) 
 ((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) ((|#1|) . T) (((-576)) . T) (($) . T)) 
 (((|#1|) |has| |#1| (-174))) 
 ((((-576)) . T)) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928)))) 
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 (|has| |#1| (-1121)) 
-((($) -2758 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
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 ((((-576) (-145)) . T)) 
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 ((((-576)) . T)) 
 (((|#1|) . T) ((|#2|) . T) (((-576)) . T)) 
-((($) |has| |#1| (-568)) ((|#1|) . T) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) (((-576)) . T)) 
-(-2758 (|has| |#1| (-21)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1070))) 
+((($) |has| |#1| (-568)) ((|#1|) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) (((-576)) . T)) 
+(-2760 (|has| |#1| (-21)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1070))) 
 (((|#1|) . T)) 
-(-2758 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1070))) 
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 ((($) . T) (((-576)) . T) ((|#2|) . T)) 
 (((|#1|) |has| |#1| (-174)) (($) . T) (((-576)) . T)) 
 (((|#2|) |has| |#1| (-374))) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 (((|#1| |#1|) . T) (($ $) . T)) 
-((($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) 
+((($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 ((((-1202)) . T)) 
 ((((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
@@ -806,26 +806,26 @@
 (((|#1|) . T) (($) . T)) 
 ((((-576)) . T)) 
 (((#0=(-419 (-971 |#1|)) #0#) . T)) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) 
 ((((-876)) . T) (((-1202)) . T)) 
 ((((-1202)) . T)) 
 (((|#1| |#1|) |has| |#1| (-174))) 
-(-2758 (|has| (-419 |#2|) (-238)) (|has| (-419 |#2|) (-237))) 
-((($ $) -2758 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
+(-2760 (|has| (-419 |#2|) (-238)) (|has| (-419 |#2|) (-237))) 
+((($ $) -2760 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 ((((-419 (-971 |#1|))) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T) (((-576)) . T) (($) . T)) 
 (((|#1|) |has| |#1| (-174))) 
-((((-1197)) -2758 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-(-2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+((((-1197)) -2760 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+(-2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
 ((((-1274 |#1| |#2| |#3| |#4|)) . T)) 
@@ -834,8 +834,8 @@
 (|has| |#3| (-1070)) 
 (|has| |#3| (-805)) 
 (|has| |#3| (-805)) 
-((((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#2|) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
-(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+((((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#2|) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
+(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
 (((|#2|) . T)) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
@@ -849,37 +849,37 @@
 ((((-419 (-576))) . T) (($) . T)) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 ((($) . T) (((-419 (-576))) . T)) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
 (((|#2|) . T)) 
 ((((-548)) |has| |#2| (-626 (-548))) (((-907 (-390))) |has| |#2| (-626 (-907 (-390)))) (((-907 (-576))) |has| |#2| (-626 (-907 (-576))))) 
-(((|#4|) -2758 (|has| |#4| (-174)) (|has| |#4| (-374)))) 
-(((|#3|) -2758 (|has| |#3| (-174)) (|has| |#3| (-374)))) 
+(((|#4|) -2760 (|has| |#4| (-174)) (|has| |#4| (-374)))) 
+(((|#3|) -2760 (|has| |#3| (-174)) (|has| |#3| (-374)))) 
 ((((-876)) . T)) 
 (((|#1|) . T)) 
-(-2758 (|has| |#2| (-464)) (|has| |#2| (-928))) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2758 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
-((($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+(-2760 (|has| |#2| (-464)) (|has| |#2| (-928))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
+((($) -2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
-(-2758 (|has| |#1| (-464)) (|has| |#1| (-928))) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -2758 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+(-2760 (|has| |#1| (-464)) (|has| |#1| (-928))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -2760 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#2|) . T)) 
 (((|#2|) . T)) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-928))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-928))) 
 ((($ $) . T) ((#0=(-1197) $) |has| |#1| (-238)) ((#0# |#1|) |has| |#1| (-238)) ((#1=(-830 (-1197)) |#1|) . T) ((#1# $) . T)) 
-(-2758 (|has| |#1| (-464)) (|has| |#1| (-928))) 
+(-2760 (|has| |#1| (-464)) (|has| |#1| (-928))) 
 ((((-576) |#2|) . T)) 
 ((((-876)) . T)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
-(((|#3|) -2758 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070))) (($) |has| |#3| (-1070)) (((-576)) -12 (|has| |#3| (-651 (-576))) (|has| |#3| (-1070)))) 
+(((|#3|) -2760 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070))) (($) |has| |#3| (-1070)) (((-576)) -12 (|has| |#3| (-651 (-576))) (|has| |#3| (-1070)))) 
 ((((-576) |#1|) . T)) 
 (|has| (-419 |#2|) (-148)) 
 (|has| (-419 |#2|) (-146)) 
@@ -892,15 +892,15 @@
 (|has| |#1| (-568)) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 ((((-876)) . T)) 
-((((-2 (|:| -4300 (-1179)) (|:| -4438 |#1|))) . T)) 
+((((-2 (|:| -4301 (-1179)) (|:| -4440 |#1|))) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
-((((-400) (-2 (|:| -4300 (-1179)) (|:| -4438 |#1|))) . T)) 
+((((-400) (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|))) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#2| (-1173)) 
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 ((((-876)) . T) (((-1202)) . T)) 
 ((((-876)) . T) (((-1202)) . T)) 
 ((((-1202)) . T)) 
@@ -918,7 +918,7 @@
 ((((-400) (-1179)) . T)) 
 (|has| |#1| (-568)) 
 ((((-1255 (-576)) $) . T) (((-576) |#1|) . T)) 
-(-2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
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 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#2|) . T)) 
@@ -936,7 +936,7 @@
 ((((-656 |#1|)) . T)) 
 ((((-876)) . T)) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-(-2758 (|has| |#1| (-861)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-861)) (|has| |#1| (-1121))) 
 (((|#2|) |has| |#2| (-319 |#2|))) 
 (((#0=(-576) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) 
 (((|#1|) . T)) 
@@ -947,14 +947,14 @@
 ((($) . T) (((-576)) . T) (((-419 (-576))) . T)) 
 (|has| |#2| (-379)) 
 (((#0=(-576) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) 
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 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 ((((-576)) . T) (((-419 (-576))) . T) (($) . T)) 
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 (((|#1| |#2|) . T)) 
-((((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1|) . T)) 
+((((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1|) . T)) 
 ((((-576)) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1| |#2|) . T)) 
 ((((-876)) . T)) 
@@ -962,8 +962,8 @@
 ((((-876)) . T)) 
 ((((-876)) . T)) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
-((($) . T) (((-419 (-576))) -2758 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
+((($) . T) (((-419 (-576))) -2760 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) 
 ((((-876)) . T)) 
 ((((-1195 |#1| |#2| |#3|) $) -12 (|has| (-1195 |#1| |#2| |#3|) (-296 (-1195 |#1| |#2| |#3|) (-1195 |#1| |#2| |#3|))) (|has| |#1| (-374))) (($ $) . T) (((-576) |#1|) . T)) 
 ((($ $) . T) (((-419 (-576)) |#1|) . T)) 
@@ -975,7 +975,7 @@
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-576)) . T) (($) . T)) 
-((($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
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 ((($) . T) (((-576)) . T) ((|#2|) . T)) 
 ((((-576)) . T) (($) . T) ((|#2|) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) 
 ((((-419 (-576))) . T) (((-576)) . T)) 
@@ -984,29 +984,29 @@
 (((|#1|) . T)) 
 ((((-112)) . T)) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
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 ((((-112)) . T)) 
 ((((-548)) |has| |#1| (-626 (-548))) (((-227)) . #0=(|has| |#1| (-1043))) (((-390)) . #0#)) 
 ((((-876)) . T)) 
 (((|#1|) . T)) 
 ((((-1202)) . T)) 
 (|has| |#1| (-832)) 
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+(((|#1|) . T) (($) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
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 ((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) ((|#1|) . T) (((-576)) . T)) 
 (|has| |#1| (-928)) 
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 (((|#1|) . T)) 
 (|has| |#1| (-1121)) 
 ((((-876)) . T)) 
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 ((((-876)) . T)) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
@@ -1019,7 +1019,7 @@
 ((((-1202)) . T) (((-876)) . T)) 
 ((((-1202)) . T)) 
 ((((-876)) . T)) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
 (((|#1| (-992)) . T)) 
 (((|#1| |#1|) . T)) 
 ((($) . T)) 
@@ -1035,23 +1035,23 @@
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 (-12 (|has| |#1| (-805)) (|has| |#2| (-805))) 
 (-12 (|has| |#1| (-805)) (|has| |#2| (-805))) 
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 (((|#1| |#2|) . T)) 
 (((|#1|) |has| |#1| (-174)) ((|#4|) . T) (((-576)) . T)) 
 (((|#2|) |has| |#2| (-174))) 
 (((|#1|) |has| |#1| (-174))) 
 ((((-876)) . T)) 
-(-2758 (|has| |#1| (-238)) (|has| |#1| (-237))) 
+(-2760 (|has| |#1| (-238)) (|has| |#1| (-237))) 
 (|has| |#1| (-360)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-419 (-576))) . T) (($) . T)) 
 (((|#2|) . T) (($) . T) (((-419 (-576))) . T)) 
-((($) . T) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) . T)) 
+((($) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) . T)) 
 (|has| |#1| (-840)) 
 ((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) (((-576)) |has| |#1| (-1059 (-576))) ((|#1|) . T)) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
 (((|#1| $) |has| |#1| (-296 |#1| |#1|))) 
 ((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-568))) 
 ((($) |has| |#1| (-568))) 
@@ -1059,8 +1059,8 @@
 (((|#4|) |has| |#4| (-1121))) 
 (((|#3|) |has| |#3| (-1121))) 
 (|has| |#3| (-379)) 
-((($) |has| |#1| (-568)) ((|#1|) . T) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) (((-576)) . T)) 
-((((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1280 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
+((($) |has| |#1| (-568)) ((|#1|) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) (((-576)) . T)) 
+((((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1280 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
 ((((-876)) . T)) 
 (((|#1| |#2|) . T)) 
 ((((-876)) . T)) 
@@ -1069,47 +1069,47 @@
 (((|#2|) . T)) 
 (|has| |#2| (-374)) 
 ((((-419 (-576))) . T) (((-576)) . T)) 
-((($) -2758 (|has| |#2| (-238)) (|has| |#2| (-237)))) 
+((($) -2760 (|has| |#2| (-238)) (|has| |#2| (-237)))) 
 ((($ (-878 |#1|)) . T)) 
-((($ (-1197)) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (($ |#3|) . T)) 
+((($ (-1197)) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (($ |#3|) . T)) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T)) 
 (((|#1|) . T)) 
-((($ $) -2758 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
-(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+((($ $) -2760 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
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 ((($) . T) (((-576)) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T)) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((($) . T) (((-576)) . T)) 
 (((|#1|) |has| |#1| (-174))) 
 (((|#1| |#1|) |has| |#1| (-174))) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121)))) 
 ((((-145)) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
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 ((((-145)) . T)) 
 ((((-145)) . T)) 
 ((((-419 (-576))) . #0=(|has| |#2| (-374))) (($) . #0#) ((|#2|) . T) (((-576)) . T)) 
 (((|#1| |#2| |#3|) . T)) 
-(-2758 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1070))) 
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 (((|#1|) |has| |#1| (-174))) 
 (|has| $ (-148)) 
 (|has| $ (-148)) 
 ((((-1202)) . T)) 
 (((|#1|) |has| |#1| (-174))) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
 ((((-876)) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
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+(-2760 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-485)) (|has| |#1| (-568)) (|has| |#1| (-1070)) (|has| |#1| (-1133))) 
 ((($ $) |has| |#1| (-296 $ $)) ((|#1| $) |has| |#1| (-296 |#1| |#1|))) 
 (((|#1| (-419 (-576))) . T)) 
 (((|#1|) . T)) 
 ((((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 ((((-1197)) . T)) 
 (|has| |#1| (-568)) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-568))) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-568))) 
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 (|has| |#1| (-568)) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
@@ -1121,7 +1121,7 @@
 (|has| |#1| (-148)) 
 (|has| |#1| (-146)) 
 (|has| |#1| (-148)) 
-(((|#2| (-245 (-3502 |#1|) (-783)) (-878 |#1|)) . T)) 
+(((|#2| (-245 (-3503 |#1|) (-783)) (-878 |#1|)) . T)) 
 (((|#1| (-543 |#3|) |#3|) . T)) 
 (|has| |#1| (-146)) 
 (((#0=(-419 (-576)) #0#) |has| |#2| (-374)) (($ $) . T)) 
@@ -1135,12 +1135,12 @@
 (|has| |#1| (-146)) 
 ((((-419 (-576))) |has| |#2| (-374)) (($) . T)) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
-(-2758 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
-(-2758 (|has| |#1| (-360)) (|has| |#1| (-379))) 
+(-2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
+(-2760 (|has| |#1| (-360)) (|has| |#1| (-379))) 
 ((((-1163 |#2| |#1|)) . T) ((|#1|) . T)) 
 (((|#1| |#2|) . T)) 
 (-12 (|has| |#2| (-238)) (|has| |#2| (-1070))) 
-(((|#2|) . T) (((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+(((|#2|) . T) (((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 (|has| |#3| (-805)) 
 (|has| |#3| (-805)) 
 ((((-876)) . T)) 
@@ -1168,18 +1168,18 @@
 ((((-876)) . T)) 
 ((((-876)) . T)) 
 (((|#1| |#2|) . T)) 
-((((-1197)) -2758 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197)))) (((-1103)) . T)) 
+((((-1197)) -2760 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197)))) (((-1103)) . T)) 
 (((|#1|) . T)) 
 (((|#3|) . T) (((-624 $)) . T)) 
 (((|#1| (-419 (-576))) . T)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 (((|#1| |#2|) . T)) 
 (((|#1|) . T) (($) . T)) 
 (((|#1|) . T)) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 ((($ (-1284 |#2|)) . T) (($ (-1197)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-917 (-1197))))) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
-((((-576)) -2758 (-12 (|has| |#2| (-1059 (-576))) (|has| |#2| (-1121))) (|has| |#2| (-1070))) ((|#2|) |has| |#2| (-1121)) (((-419 (-576))) -12 (|has| |#2| (-1059 (-419 (-576)))) (|has| |#2| (-1121)))) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
+((((-576)) -2760 (-12 (|has| |#2| (-1059 (-576))) (|has| |#2| (-1121))) (|has| |#2| (-1070))) ((|#2|) |has| |#2| (-1121)) (((-419 (-576))) -12 (|has| |#2| (-1059 (-419 (-576)))) (|has| |#2| (-1121)))) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 ((($ $) . T) ((|#2| $) . T)) 
 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
@@ -1187,15 +1187,15 @@
 ((((-876)) . T)) 
 ((((-876)) . T)) 
 (((|#1| |#1|) . T)) 
-(((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) (((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) |has| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (-319 (-2 (|:| -4300 |#1|) (|:| -4438 |#2|))))) 
-(((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))) (((-2 (|:| -4300 (-1179)) (|:| -4438 |#1|))) |has| (-2 (|:| -4300 (-1179)) (|:| -4438 |#1|)) (-319 (-2 (|:| -4300 (-1179)) (|:| -4438 |#1|))))) 
+(((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) (((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) |has| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (-319 (-2 (|:| -4301 |#1|) (|:| -4440 |#2|))))) 
+(((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))) (((-2 (|:| -4301 (-1179)) (|:| -4440 |#1|))) |has| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (-319 (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|))))) 
 ((((-876)) . T)) 
 (((|#1|) . T)) 
 (((|#3| |#3|) . T)) 
 (((|#1|) . T)) 
 ((($) . T) ((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) 
 ((((-1197) (-52)) . T)) 
-((((-1197)) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) 
+((((-1197)) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) 
 (((|#3|) . T)) 
 ((($ $) . T) ((#0=(-878 |#1|) $) . T) ((#0# |#2|) . T)) 
 (|has| |#1| (-840)) 
@@ -1203,10 +1203,10 @@
 ((($) . T) (((-576)) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T)) 
 ((((-576)) . T) (($) . T) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (|has| (-1115 |#1|) (-1121)) 
-(((|#2| |#2|) -2758 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070)))) 
-(((|#2|) -2758 (|has| |#2| (-174)) (|has| |#2| (-374)))) 
-((((-576) (-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T) ((|#1| |#2|) . T)) 
-(((|#2|) -2758 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070)))) 
+(((|#2| |#2|) -2760 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070)))) 
+(((|#2|) -2760 (|has| |#2| (-174)) (|has| |#2| (-374)))) 
+((((-576) (-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T) ((|#1| |#2|) . T)) 
+(((|#2|) -2760 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070)))) 
 ((((-576)) . T)) 
 ((((-1202)) . T)) 
 ((((-783)) . T)) 
@@ -1225,34 +1225,34 @@
 (((|#1|) . T)) 
 ((((-419 (-576))) . T) (($) . T)) 
 ((($) . T) (((-419 (-576))) . T)) 
-(-2758 (|has| |#1| (-174)) (|has| |#1| (-568))) 
+(-2760 (|has| |#1| (-174)) (|has| |#1| (-568))) 
 ((((-1202)) . T)) 
-(-2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
-(-2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
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+(-2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
 ((((-576)) . T)) 
-(-2758 (|has| |#1| (-174)) (|has| |#1| (-568))) 
+(-2760 (|has| |#1| (-174)) (|has| |#1| (-568))) 
 (|has| |#1| (-146)) 
 ((((-576)) . T)) 
 (|has| |#1| (-148)) 
-((($ (-1197)) -2758 (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197)))) (-12 (|has| |#1| (-374)) (|has| |#2| (-917 (-1197)))) (-12 (|has| |#1| (-374)) (|has| |#2| (-919 (-1197)))))) 
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 ((($ (-1197)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-917 (-1197))))) 
 ((((-907 (-576))) . T) (((-907 (-390))) . T) (((-548)) . T) (((-1197)) . T)) 
 ((((-876)) . T)) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) 
 ((((-876)) . T) (((-1202)) . T)) 
 ((((-1202)) . T)) 
 ((($) . T)) 
 (((|#1|) . T)) 
 ((((-876)) . T)) 
-(-2758 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
+(-2760 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
 (((|#1|) . T) (($) . T)) 
 (((|#2|) |has| |#2| (-174))) 
-((($) -2758 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) ((|#2|) |has| |#2| (-174)) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) ((|#2|) |has| |#2| (-174)) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) 
 ((((-884 |#1|)) . T)) 
-(-2758 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-861)) (|has| |#2| (-1070)) (|has| |#2| (-1121))) 
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 (-12 (|has| |#3| (-238)) (|has| |#3| (-1070))) 
 (|has| |#2| (-1173)) 
-(((#0=(-52)) . T) (((-2 (|:| -4300 (-1197)) (|:| -4438 #0#))) . T)) 
+(((#0=(-52)) . T) (((-2 (|:| -4301 (-1197)) (|:| -4440 #0#))) . T)) 
 (((|#1| |#2|) . T)) 
 (|has| |#3| (-1070)) 
 (((|#1| (-576) (-1103)) . T)) 
@@ -1260,10 +1260,10 @@
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 (((|#1| (-419 (-576)) (-1103)) . T)) 
 ((((-1197)) . T)) 
-((($) -2758 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (((-419 (-576))) -2758 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
-((($) -2758 (|has| (-419 |#2|) (-238)) (|has| (-419 |#2|) (-237)))) 
+((($) -2760 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (((-419 (-576))) -2760 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
+((($) -2760 (|has| (-419 |#2|) (-238)) (|has| (-419 |#2|) (-237)))) 
 ((((-576) |#2|) . T)) 
-((($ (-1197)) -2758 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) 
+((($ (-1197)) -2760 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) 
 (((|#1| |#2|) . T)) 
 (((|#1| |#2|) . T)) 
 (|has| |#2| (-379)) 
@@ -1271,42 +1271,42 @@
 ((((-876)) . T)) 
 ((((-1197) |#1|) |has| |#1| (-526 (-1197) |#1|)) ((|#1| |#1|) |has| |#1| (-319 |#1|))) 
 (-12 (|has| |#1| (-379)) (|has| |#2| (-379))) 
-(-2758 (|has| |#1| (-146)) (|has| |#1| (-379))) 
-(-2758 (|has| |#1| (-146)) (|has| |#1| (-379))) 
-(-2758 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-2760 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-2760 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-2760 (|has| |#1| (-146)) (|has| |#1| (-379))) 
 ((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-568))) 
 (((|#1|) . T)) 
-((((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1195 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
-(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+((((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1195 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
+(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
 (|has| |#1| (-360)) 
-((((-576)) -2758 (-12 (|has| |#3| (-1059 (-576))) (|has| |#3| (-1121))) (|has| |#3| (-1070))) ((|#3|) |has| |#3| (-1121)) (((-419 (-576))) -12 (|has| |#3| (-1059 (-419 (-576)))) (|has| |#3| (-1121)))) 
+((((-576)) -2760 (-12 (|has| |#3| (-1059 (-576))) (|has| |#3| (-1121))) (|has| |#3| (-1070))) ((|#3|) |has| |#3| (-1121)) (((-419 (-576))) -12 (|has| |#3| (-1059 (-419 (-576)))) (|has| |#3| (-1121)))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#4|) . T)) 
 (((|#4|) . T) (((-876)) . T)) 
-(((|#3|) . T) ((|#2|) . T) (((-576)) . T) ((|#4|) -2758 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-738)) (|has| |#4| (-1070))) (($) |has| |#4| (-1070))) 
-(((|#2|) . T) (((-576)) . T) ((|#3|) -2758 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)) (|has| |#3| (-1070))) (($) |has| |#3| (-1070))) 
-(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) ((#0=(-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) #0#) |has| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (-319 (-2 (|:| -4300 |#1|) (|:| -4438 |#2|))))) 
+(((|#3|) . T) ((|#2|) . T) (((-576)) . T) ((|#4|) -2760 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-738)) (|has| |#4| (-1070))) (($) |has| |#4| (-1070))) 
+(((|#2|) . T) (((-576)) . T) ((|#3|) -2760 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)) (|has| |#3| (-1070))) (($) |has| |#3| (-1070))) 
+(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) ((#0=(-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) #0#) |has| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (-319 (-2 (|:| -4301 |#1|) (|:| -4440 |#2|))))) 
 (|has| |#1| (-568)) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 ((((-876)) . T)) 
 (((|#1| |#2|) . T)) 
-(-2758 (|has| |#2| (-464)) (|has| |#2| (-928))) 
-(-2758 (|has| |#1| (-861)) (|has| |#1| (-1121))) 
-(-2758 (|has| |#1| (-464)) (|has| |#1| (-928))) 
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+(-2760 (|has| |#1| (-861)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-464)) (|has| |#1| (-928))) 
 ((((-419 (-576))) . T) (((-576)) . T)) 
 ((((-576)) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2758 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
 ((($) . T)) 
 ((((-876)) . T)) 
 (((|#1|) . T)) 
 ((((-884 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) 
 ((((-876)) . T)) 
-(((|#3| |#3|) -2758 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070)))) 
+(((|#3| |#3|) -2760 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070)))) 
 (|has| |#1| (-1043)) 
 ((((-876)) . T)) 
-(((|#3|) -2758 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070)))) 
+(((|#3|) -2760 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070)))) 
 ((((-576) (-112)) . T)) 
 ((((-1202)) . T)) 
 (((|#1|) |has| |#1| (-319 |#1|))) 
@@ -1316,21 +1316,21 @@
 (|has| |#1| (-379)) 
 ((((-1197) $) |has| |#1| (-526 (-1197) $)) (($ $) |has| |#1| (-319 $)) ((|#1| |#1|) |has| |#1| (-319 |#1|)) (((-1197) |#1|) |has| |#1| (-526 (-1197) |#1|))) 
 ((((-1197)) |has| |#1| (-917 (-1197)))) 
-(-2758 (-12 (|has| |#1| (-238)) (|has| |#1| (-374))) (|has| |#1| (-360))) 
+(-2760 (-12 (|has| |#1| (-238)) (|has| |#1| (-374))) (|has| |#1| (-360))) 
 (((|#1| |#4|) . T)) 
 (((|#1| |#3|) . T)) 
 ((($) . T)) 
 ((((-400) |#1|) . T)) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-360))) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
 (((|#2|) . T) (((-876)) . T)) 
 ((((-876)) . T)) 
 (((|#2|) . T)) 
 ((((-929 |#1|)) . T)) 
 ((((-876)) . T) (((-1202)) . T)) 
 ((((-1202)) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2758 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) -2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928)))) 
 (((|#1| |#2|) . T)) 
 ((($) . T)) 
 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
@@ -1339,7 +1339,7 @@
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
 (((|#1| |#1|) . T)) 
 (((#0=(-884 |#1|)) |has| #0# (-319 #0#))) 
-((((-576)) . T) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-360))) (((-419 (-576))) -2758 (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-1059 (-419 (-576))))) ((|#1|) . T)) 
+((((-576)) . T) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-360))) (((-419 (-576))) -2760 (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-1059 (-419 (-576))))) ((|#1|) . T)) 
 (((|#1| |#2|) . T)) 
 (|has| |#2| (-805)) 
 (|has| |#2| (-805)) 
@@ -1348,7 +1348,7 @@
 (-12 (|has| |#1| (-805)) (|has| |#2| (-805))) 
 (|has| |#2| (-1070)) 
 ((($) . T) (((-576)) . T) ((|#2|) . T)) 
-(((|#2|) . T) (((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+(((|#2|) . T) (((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 (((|#2|) . T) (($) . T)) 
 (|has| |#1| (-1223)) 
 (((#0=(-576) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) 
@@ -1362,7 +1362,7 @@
 (((|#1| |#1|) . T) (($ $) . T) ((#0=(-419 (-576)) #0#) . T)) 
 (|has| |#1| (-374)) 
 ((((-576)) . T) (((-419 (-576))) . T) (($) . T)) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
@@ -1370,39 +1370,39 @@
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#1|) . T)) 
 ((((-876)) . T)) 
-((($ $) . T) ((#0=(-419 (-576)) #0#) -2758 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1| |#1|) . T)) 
+((($ $) . T) ((#0=(-419 (-576)) #0#) -2760 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1| |#1|) . T)) 
 ((((-548)) |has| |#3| (-626 (-548)))) 
 (((|#1| |#2|) . T)) 
 (|has| |#1| (-860)) 
 (|has| |#1| (-860)) 
 ((((-701 |#3|)) . T) (((-876)) . T)) 
-((($) . T) (((-419 (-576))) -2758 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
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 ((($) . T)) 
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 ((($) . T)) 
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 ((((-876)) . T)) 
 (((|#2|) . T)) 
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 ((((-576)) |has| #0=(-419 |#2|) (-651 (-576))) ((#0#) . T)) 
 ((($) . T) (((-576)) . T)) 
 ((((-576) (-145)) . T)) 
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 ((((-419 (-576))) . T) (($) . T)) 
 (((|#1|) . T)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 ((((-876)) . T)) 
 ((((-929 |#1|)) . T)) 
 (|has| |#1| (-374)) 
@@ -1410,11 +1410,11 @@
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 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) 
 (|has| |#1| (-860)) 
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+((($) -2760 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (((-419 (-576))) -2760 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
 (|has| |#1| (-374)) 
 (((|#1|) . T) (($) . T)) 
 (|has| |#1| (-860)) 
-((($) . T) (((-419 (-576))) -2758 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
+((($) . T) (((-419 (-576))) -2760 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
 ((((-1197)) |has| |#1| (-917 (-1197)))) 
 (|has| |#1| (-860)) 
 ((((-518)) . T)) 
@@ -1430,7 +1430,7 @@
 ((((-548)) . T)) 
 ((((-876)) . T)) 
 ((($) . T)) 
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 (((|#1|) . T)) 
 (((|#2|) . T) (($) . T)) 
 (((|#1|) |has| |#1| (-174))) 
@@ -1440,22 +1440,22 @@
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 (((|#3|) . T)) 
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 ((((-876)) . T)) 
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 ((((-884 |#1|)) . T) (((-419 (-576))) . T) (($) . T)) 
 (|has| |#1| (-379)) 
 (|has| |#1| (-379)) 
@@ -1464,7 +1464,7 @@
 ((((-1179) |#1|) . T)) 
 (|has| |#1| (-1173)) 
 ((((-977 |#1|)) . T)) 
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+(((#0=(-419 (-576)) #0#) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($ $) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1| |#1|) . T)) 
 ((((-419 (-576))) |has| |#1| (-1059 (-576))) (((-576)) |has| |#1| (-1059 (-576))) (((-1197)) |has| |#1| (-1059 (-1197))) ((|#1|) . T)) 
 ((($) . T)) 
 ((($) . T)) 
@@ -1472,7 +1472,7 @@
 ((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) (((-576)) |has| |#1| (-1059 (-576))) ((|#1|) . T)) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T)) 
 ((((-576)) |has| |#1| (-901 (-576))) (((-390)) |has| |#1| (-901 (-390)))) 
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+((((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T) (($) . T) (((-576)) . T)) 
 ((((-656 |#4|)) . T) (((-876)) . T)) 
@@ -1480,37 +1480,37 @@
 ((((-548)) |has| |#4| (-626 (-548)))) 
 ((((-876)) . T) (((-656 |#4|)) . T)) 
 ((($) |has| |#1| (-860))) 
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-((((-576)) -2758 (-12 (|has| |#2| (-1059 (-576))) (|has| |#2| (-1121))) (|has| |#2| (-1070))) ((|#2|) |has| |#2| (-1121)) (((-419 (-576))) -12 (|has| |#2| (-1059 (-419 (-576)))) (|has| |#2| (-1121)))) 
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 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-656 |#4|)) . T) (((-876)) . T)) 
 ((((-548)) |has| |#4| (-626 (-548)))) 
 (((|#1|) . T)) 
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+(((|#1|) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-576)) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) (((-576)) . T) (($) . T)) 
 ((((-1197)) |has| (-419 |#2|) (-917 (-1197)))) 
 (((|#2|) . T)) 
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 ((($) . T)) 
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 ((($) . T)) 
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 ((($) . T)) 
 ((($) . T)) 
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+((((-876)) -2760 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-625 (-876))) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-379)) (|has| |#3| (-738)) (|has| |#3| (-805)) (|has| |#3| (-861)) (|has| |#3| (-1070)) (|has| |#3| (-1121))) (((-1288 |#3|)) . T)) 
 (((|#2|) . T)) 
 ((((-576) |#2|) . T)) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) 
-(((|#2| |#2|) -2758 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070)))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) 
+(((|#2| |#2|) -2760 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070)))) 
 (((|#2|) . T) (((-576)) . T)) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T) ((|#2|) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T) ((|#2|) . T)) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
 ((((-1179) (-1197) (-576) (-227) (-876)) . T)) 
@@ -1546,9 +1546,9 @@
 ((((-419 (-576))) . T) (($) . T)) 
 ((((-876)) . T)) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
 ((($) . T) (((-419 (-576))) . T)) 
-(((|#2|) -2758 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070)))) 
+(((|#2|) -2760 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070)))) 
 (|has| $ (-148)) 
 ((((-419 |#2|)) . T)) 
 ((((-419 (-576))) |has| #0=(-419 |#2|) (-1059 (-419 (-576)))) (((-576)) |has| #0# (-1059 (-576))) ((#0#) . T)) 
@@ -1557,11 +1557,11 @@
 (|has| |#2| (-148)) 
 (|has| |#1| (-148)) 
 (|has| |#1| (-146)) 
-(-2758 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-2760 (|has| |#1| (-146)) (|has| |#1| (-379))) 
 (|has| |#1| (-148)) 
-(-2758 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-2760 (|has| |#1| (-146)) (|has| |#1| (-379))) 
 (|has| |#1| (-148)) 
-(-2758 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-2760 (|has| |#1| (-146)) (|has| |#1| (-379))) 
 (|has| |#1| (-148)) 
 (((|#1|) . T)) 
 (|has| |#2| (-238)) 
@@ -1598,9 +1598,9 @@
 ((((-876)) . T)) 
 ((((-876)) . T)) 
 ((((-1020 |#1|)) . T) ((|#1|) . T)) 
-((((-1197)) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (((-830 (-1197))) . T)) 
+((((-1197)) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (((-830 (-1197))) . T)) 
 ((((-876)) . T)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 ((((-419 (-576))) . T) (((-419 |#1|)) . T) ((|#1|) . T) (($) . T)) 
 (((|#1| (-1193 |#1|)) . T)) 
 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
@@ -1609,8 +1609,8 @@
 (((|#1|) . T) (((-576)) . T) (($) . T)) 
 (((|#2|) . T)) 
 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
-((((-2 (|:| -4300 (-1179)) (|:| -4438 |#1|))) . T)) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
+((((-2 (|:| -4301 (-1179)) (|:| -4440 |#1|))) . T)) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
 ((((-576) |#2|) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) . T)) 
@@ -1621,9 +1621,9 @@
 ((((-876)) . T)) 
 (((|#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1121)))) 
 (((|#3|) -12 (|has| |#3| (-319 |#3|)) (|has| |#3| (-1121)))) 
-(-2758 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (-12 (|has| |#1| (-374)) (|has| |#2| (-238))) (-12 (|has| |#1| (-374)) (|has| |#2| (-237)))) 
+(-2760 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (-12 (|has| |#1| (-374)) (|has| |#2| (-238))) (-12 (|has| |#1| (-374)) (|has| |#2| (-237)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
-(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) ((#0=(-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) #0#) |has| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (-319 (-2 (|:| -4300 |#1|) (|:| -4438 |#2|))))) 
+(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) ((#0=(-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) #0#) |has| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (-319 (-2 (|:| -4301 |#1|) (|:| -4440 |#2|))))) 
 (((|#2| |#2|) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#2| (-374)) 
@@ -1632,21 +1632,21 @@
 (((|#2|) . T)) 
 ((((-1280 |#1| |#2| |#3|)) |has| |#1| (-374))) 
 (((|#1|) |has| |#1| (-174))) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928)))) 
-((($) -2758 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) -2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928)))) 
+((($) -2760 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (|has| |#1| (-1121)) 
 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) 
 (|has| |#1| (-38 (-419 (-576)))) 
 ((((-1179) (-52)) . T)) 
 (((|#1|) . T)) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928)))) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((($ (-1197)) -2758 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197)))) (($ (-1103)) . T)) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928)))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($ (-1197)) -2760 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197)))) (($ (-1103)) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (((|#2|) |has| |#2| (-174))) 
 (((|#2|) . T)) 
-((((-576)) -2758 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070))) ((|#2|) -2758 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1070))) (($) |has| |#2| (-1070))) 
+((((-576)) -2760 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070))) ((|#2|) -2760 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1070))) (($) |has| |#2| (-1070))) 
 (((|#1|) . T)) 
 ((((-576) |#3|) . T)) 
 ((((-576) (-145)) . T)) 
@@ -1662,7 +1662,7 @@
 ((((-576)) . T) (($) . T)) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 (((|#1|) . T)) 
-((($ (-1197)) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) 
+((($ (-1197)) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) 
 (((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) 
 ((((-145)) . T)) 
 ((((-876)) . T)) 
@@ -1673,26 +1673,26 @@
 (((|#1|) . T)) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 (((|#1| |#2|) . T)) 
-(-2758 (|has| |#2| (-238)) (|has| |#2| (-237))) 
+(-2760 (|has| |#2| (-238)) (|has| |#2| (-237))) 
 ((((-576) (-145)) . T) (((-1255 (-576)) $) . T)) 
-(((#0=(-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) #0#) |has| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (-319 (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)))) ((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121)))) 
-((($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+(((#0=(-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) #0#) |has| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (-319 (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)))) ((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121)))) 
+((($) -2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (|has| |#1| (-861)) 
 (((|#2| (-783) (-1103)) . T)) 
 (((|#1| |#2|) . T)) 
 ((((-1197)) -12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197))))) 
 (|has| |#1| (-803)) 
-(-2758 (|has| |#1| (-174)) (|has| |#1| (-568))) 
-((((-1197)) -2758 (-12 (|has| (-1280 |#1| |#2| |#3|) (-917 (-1197))) (|has| |#1| (-374))) (-12 (|has| (-1280 |#1| |#2| |#3|) (-919 (-1197))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197)))))) 
+(-2760 (|has| |#1| (-174)) (|has| |#1| (-568))) 
+((((-1197)) -2760 (-12 (|has| (-1280 |#1| |#2| |#3|) (-917 (-1197))) (|has| |#1| (-374))) (-12 (|has| (-1280 |#1| |#2| |#3|) (-919 (-1197))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197)))))) 
 ((((-1197)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-917 (-1197))))) 
 ((((-1197)) -12 (|has| |#1| (-15 * (|#1| (-783) |#1|))) (|has| |#1| (-917 (-1197))))) 
 (((|#1|) |has| |#1| (-174))) 
 (((|#4|) . T)) 
 (((|#4|) . T)) 
 (((|#1| |#2|) . T)) 
-(-2758 (|has| |#1| (-148)) (-12 (|has| |#1| (-374)) (|has| |#2| (-148)))) 
+(-2760 (|has| |#1| (-148)) (-12 (|has| |#1| (-374)) (|has| |#2| (-148)))) 
 (((|#4|) . T)) 
-(-2758 (|has| |#1| (-146)) (-12 (|has| |#1| (-374)) (|has| |#2| (-146)))) 
+(-2760 (|has| |#1| (-146)) (-12 (|has| |#1| (-374)) (|has| |#2| (-146)))) 
 ((((-1179) |#1|) . T)) 
 (|has| |#1| (-146)) 
 (|has| |#1| (-148)) 
@@ -1706,24 +1706,24 @@
 (((|#3|) . T)) 
 ((((-1280 |#1| |#2| |#3|)) |has| |#1| (-374))) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T)) 
-((((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1195 |#1| |#2| |#3|)) |has| |#1| (-374)) (((-576)) . T) (($) . T) ((|#1|) . T)) 
-(((|#1|) . T) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-576)) . T) (($) . T)) 
+((((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1195 |#1| |#2| |#3|)) |has| |#1| (-374)) (((-576)) . T) (($) . T) ((|#1|) . T)) 
+(((|#1|) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-576)) . T) (($) . T)) 
 ((((-876)) . T)) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) 
 (((|#1|) . T)) 
 (((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) (((-576)) . T) (($) . T)) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121))) (((-977 |#1|)) . T)) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121))) (((-977 |#1|)) . T)) 
 (|has| |#1| (-860)) 
 (|has| |#1| (-860)) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 ((((-977 |#1|)) . T)) 
-(((|#4|) -2758 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-738)))) 
-(((|#3|) -2758 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)))) 
+(((|#4|) -2760 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-738)))) 
+(((|#3|) -2760 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)))) 
 (|has| |#2| (-374)) 
 (((|#1|) |has| |#1| (-174))) 
-(((|#4|) -2758 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-738)) (|has| |#4| (-1070)))) 
-(((|#3|) -2758 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)) (|has| |#3| (-1070)))) 
+(((|#4|) -2760 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-738)) (|has| |#4| (-1070)))) 
+(((|#3|) -2760 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)) (|has| |#3| (-1070)))) 
 (((|#2|) |has| |#2| (-1070))) 
 (((|#2|) |has| |#2| (-1070))) 
 ((((-1179) |#1|) . T)) 
@@ -1735,8 +1735,8 @@
 ((((-400) (-1179)) . T)) 
 ((($ (-1197)) . T)) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((((-876)) -2758 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-625 (-876))) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-861)) (|has| |#2| (-1070)) (|has| |#2| (-1121))) (((-1288 |#2|)) . T)) 
-(((#0=(-52)) . T) (((-2 (|:| -4300 (-1179)) (|:| -4438 #0#))) . T)) 
+((((-876)) -2760 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-625 (-876))) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-861)) (|has| |#2| (-1070)) (|has| |#2| (-1121))) (((-1288 |#2|)) . T)) 
+(((#0=(-52)) . T) (((-2 (|:| -4301 (-1179)) (|:| -4440 #0#))) . T)) 
 (((|#1|) . T)) 
 ((((-876)) . T)) 
 (((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121)))) 
@@ -1745,7 +1745,7 @@
 ((((-576)) . T)) 
 (|has| |#2| (-148)) 
 (|has| |#1| (-485)) 
-(-2758 (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) 
+(-2760 (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) 
 (|has| |#1| (-374)) 
 ((((-876)) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
@@ -1756,8 +1756,8 @@
 (|has| |#1| (-860)) 
 ((((-876)) . T)) 
 (((|#2|) . T)) 
-((((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1280 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
-(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+((((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1280 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
+(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#2|) . T) (((-576)) . T) (((-831 |#1|)) . T)) 
 (((|#1| |#2|) . T)) 
@@ -1766,8 +1766,8 @@
 ((((-929 |#1|)) . T) (((-419 (-576))) . T) (($) . T)) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
-(((|#2| (-494 (-3502 |#1|) (-783)) (-878 |#1|)) . T)) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
+(((|#2| (-494 (-3503 |#1|) (-783)) (-878 |#1|)) . T)) 
 ((((-419 (-576))) . #0=(|has| |#2| (-374))) (($) . #0#)) 
 (((|#1| (-543 (-1197)) (-1197)) . T)) 
 (((|#1|) . T)) 
@@ -1787,19 +1787,19 @@
 (((|#2|) |has| |#2| (-174))) 
 (((|#1|) . T)) 
 (((|#2|) . T)) 
-(((|#1|) . T) (((-2 (|:| -4300 (-1179)) (|:| -4438 |#1|))) . T)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+(((|#1|) . T) (((-2 (|:| -4301 (-1179)) (|:| -4440 |#1|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 (((|#2|) . T)) 
-((((-2 (|:| -4300 (-1197)) (|:| -4438 (-52)))) . T)) 
+((((-2 (|:| -4301 (-1197)) (|:| -4440 (-52)))) . T)) 
 ((((-1195 |#1| |#2| |#3|)) |has| |#1| (-374))) 
 ((((-1195 |#1| |#2| |#3|)) |has| |#1| (-374))) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 ((((-1197) (-52)) . T)) 
 ((((-419 (-576)) |#1|) . T) (($ $) . T)) 
 (((|#1| (-576)) . T)) 
 ((((-929 |#1|)) . T)) 
-(((|#1|) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1070))) (($) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070)))) 
-((((-1197)) -2758 (-12 (|has| |#2| (-917 (-1197))) (|has| |#2| (-1070))) (-12 (|has| |#2| (-919 (-1197))) (|has| |#2| (-1070))))) 
+(((|#1|) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1070))) (($) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070)))) 
+((((-1197)) -2760 (-12 (|has| |#2| (-917 (-1197))) (|has| |#2| (-1070))) (-12 (|has| |#2| (-919 (-1197))) (|has| |#2| (-1070))))) 
 (((|#1|) . T) (((-576)) |has| |#1| (-1059 (-576))) (((-419 (-576))) |has| |#1| (-1059 (-419 (-576))))) 
 (|has| |#1| (-861)) 
 (|has| |#1| (-861)) 
@@ -1820,15 +1820,15 @@
 (((|#4| |#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1121)))) 
 (((|#1|) |has| |#1| (-174))) 
 (((|#4| |#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1121)))) 
-(((|#3|) -2758 (|has| |#3| (-174)) (|has| |#3| (-374)))) 
-((($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-(-2758 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-928))) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+(((|#3|) -2760 (|has| |#3| (-174)) (|has| |#3| (-374)))) 
+((($) -2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+(-2760 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-928))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((($ |#2|) . T)) 
-((($ (-1197)) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (($ (-1103)) . T)) 
+((($ (-1197)) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (($ (-1103)) . T)) 
 ((($ $) . T) ((#0=(-419 (-576)) #0#) . T)) 
 ((((-576) |#2|) . T)) 
-(((|#2|) -2758 (|has| |#2| (-174)) (|has| |#2| (-374)))) 
+(((|#2|) -2760 (|has| |#2| (-174)) (|has| |#2| (-374)))) 
 (|has| |#1| (-360)) 
 (((|#3| |#3|) -12 (|has| |#3| (-319 |#3|)) (|has| |#3| (-1121)))) 
 (((|#2|) . T) (((-576)) . T)) 
@@ -1837,7 +1837,7 @@
 (|has| |#1| (-832)) 
 (|has| |#1| (-832)) 
 (((|#1|) . T)) 
-(-2758 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-2760 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) 
 (|has| |#1| (-860)) 
 (|has| |#1| (-860)) 
 (|has| |#1| (-860)) 
@@ -1846,14 +1846,14 @@
 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-360))) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 ((((-1197)) |has| |#1| (-917 (-1197))) (((-1103)) . T)) 
 (((|#1|) . T)) 
 (|has| |#1| (-860)) 
-(((#0=(-2 (|:| -4300 (-1179)) (|:| -4438 (-52))) #0#) |has| (-2 (|:| -4300 (-1179)) (|:| -4438 (-52))) (-319 (-2 (|:| -4300 (-1179)) (|:| -4438 (-52)))))) 
+(((#0=(-2 (|:| -4301 (-1179)) (|:| -4440 (-52))) #0#) |has| (-2 (|:| -4301 (-1179)) (|:| -4440 (-52))) (-319 (-2 (|:| -4301 (-1179)) (|:| -4440 (-52)))))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 (|has| |#1| (-1121)) 
 ((((-876)) . T) (((-1202)) . T)) 
@@ -1877,14 +1877,14 @@
 (((|#1| (-783) (-1103)) . T)) 
 (((|#3|) . T)) 
 ((((-145)) . T)) 
-((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) (((-576)) -2758 (|has| |#1| (-860)) (|has| |#1| (-1059 (-576)))) ((|#1|) . T)) 
+((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) (((-576)) -2760 (|has| |#1| (-860)) (|has| |#1| (-1059 (-576)))) ((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#2|) . T)) 
 ((((-145)) . T)) 
-((((-1197)) -2758 (-12 (|has| (-1195 |#1| |#2| |#3|) (-917 (-1197))) (|has| |#1| (-374))) (-12 (|has| (-1195 |#1| |#2| |#3|) (-919 (-1197))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197)))))) 
+((((-1197)) -2760 (-12 (|has| (-1195 |#1| |#2| |#3|) (-917 (-1197))) (|has| |#1| (-374))) (-12 (|has| (-1195 |#1| |#2| |#3|) (-919 (-1197))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197)))))) 
 ((((-1197)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-917 (-1197))))) 
 ((((-1197)) -12 (|has| |#1| (-15 * (|#1| (-783) |#1|))) (|has| |#1| (-917 (-1197))))) 
-(-2758 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-861)) (|has| |#2| (-1070)) (|has| |#2| (-1121))) 
+(-2760 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-861)) (|has| |#2| (-1070)) (|has| |#2| (-1121))) 
 (((|#1|) . T)) 
 (|has| |#1| (-146)) 
 (|has| |#1| (-148)) 
@@ -1903,31 +1903,31 @@
 ((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-568))) 
 ((($) |has| |#1| (-568))) 
 (((|#2|) . T)) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2758 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2760 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
 ((($) |has| |#1| (-568)) ((|#1|) . T)) 
 ((($) |has| |#1| (-860))) 
 ((((-1195 |#1| |#2| |#3|)) |has| |#1| (-374))) 
 (|has| |#1| (-928)) 
 ((((-1197)) . T)) 
 ((((-876)) . T)) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1280 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) . T)) 
-((((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1280 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
-(((|#1|) . T) (($) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
-(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1280 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) . T)) 
+((((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1280 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
+(((|#1|) . T) (($) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
+(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 ((((-576) |#2|) . T)) 
-((($ (-1197)) -2758 (-12 (|has| |#4| (-917 (-1197))) (|has| |#4| (-1070))) (-12 (|has| |#4| (-919 (-1197))) (|has| |#4| (-1070))))) 
-((($ (-1197)) -2758 (-12 (|has| |#3| (-917 (-1197))) (|has| |#3| (-1070))) (-12 (|has| |#3| (-919 (-1197))) (|has| |#3| (-1070))))) 
-((($) -2758 (|has| |#1| (-238)) (|has| |#1| (-237)))) 
+((($ (-1197)) -2760 (-12 (|has| |#4| (-917 (-1197))) (|has| |#4| (-1070))) (-12 (|has| |#4| (-919 (-1197))) (|has| |#4| (-1070))))) 
+((($ (-1197)) -2760 (-12 (|has| |#3| (-917 (-1197))) (|has| |#3| (-1070))) (-12 (|has| |#3| (-919 (-1197))) (|has| |#3| (-1070))))) 
+((($) -2760 (|has| |#1| (-238)) (|has| |#1| (-237)))) 
 ((($) |has| |#1| (-379))) 
 ((($) |has| |#1| (-379))) 
 ((($) |has| |#1| (-379))) 
 (((|#1| |#2|) . T)) 
-(-2758 (|has| |#2| (-464)) (|has| |#2| (-928))) 
-(((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))) ((#0=(-2 (|:| -4300 (-1179)) (|:| -4438 |#1|)) #0#) |has| (-2 (|:| -4300 (-1179)) (|:| -4438 |#1|)) (-319 (-2 (|:| -4300 (-1179)) (|:| -4438 |#1|))))) 
-(-2758 (|has| |#1| (-464)) (|has| |#1| (-928))) 
+(-2760 (|has| |#2| (-464)) (|has| |#2| (-928))) 
+(((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))) ((#0=(-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) #0#) |has| (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|)) (-319 (-2 (|:| -4301 (-1179)) (|:| -4440 |#1|))))) 
+(-2760 (|has| |#1| (-464)) (|has| |#1| (-928))) 
 (((|#1|) . T)) 
 (((|#1|) . T) (($) . T)) 
 (((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121)))) 
@@ -1936,23 +1936,23 @@
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-(((|#3|) -2758 (|has| |#3| (-174)) (|has| |#3| (-374)))) 
+(((|#3|) -2760 (|has| |#3| (-174)) (|has| |#3| (-374)))) 
 (|has| |#1| (-861)) 
 (|has| |#1| (-568)) 
 ((((-593 |#1|)) . T)) 
 ((($) . T)) 
 (((|#2|) . T)) 
-(-2758 (-12 (|has| |#1| (-374)) (|has| |#2| (-832))) (-12 (|has| |#1| (-374)) (|has| |#2| (-861)))) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-2760 (-12 (|has| |#1| (-374)) (|has| |#2| (-832))) (-12 (|has| |#1| (-374)) (|has| |#2| (-861)))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-568))) 
 ((((-929 |#1|)) . T)) 
 (((|#1| (-508 |#1| |#3|) (-508 |#1| |#2|)) . T)) 
 (((|#1| |#4| |#5|) . T)) 
 (((|#1| (-783)) . T)) 
 ((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-568))) 
-((((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1195 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
-(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+((((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1195 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
+(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((((-2 (|:| -4300 (-1197)) (|:| -4438 (-52)))) . T)) 
+((((-2 (|:| -4301 (-1197)) (|:| -4440 (-52)))) . T)) 
 ((((-576)) |has| #0=(-419 |#2|) (-651 (-576))) ((#0#) . T) (((-419 (-576))) . T) (($) . T)) 
 ((((-684 |#1|)) . T)) 
 (((|#1| |#2| |#3| |#4|) . T)) 
@@ -1961,7 +1961,7 @@
 ((((-876)) . T)) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 ((((-876)) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2758 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
 ((((-1202)) . T)) 
 ((((-419 (-576))) . T) (($) . T) (((-419 |#1|)) . T) ((|#1|) . T) (((-576)) . T)) 
 (((|#3|) . T) (((-576)) . T) (((-624 $)) . T)) 
@@ -1969,12 +1969,12 @@
 ((((-876)) . T)) 
 ((((-876)) . T)) 
 (((|#2|) . T)) 
-(-2758 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-379)) (|has| |#3| (-738)) (|has| |#3| (-805)) (|has| |#3| (-861)) (|has| |#3| (-1070)) (|has| |#3| (-1121))) 
+(-2760 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-379)) (|has| |#3| (-738)) (|has| |#3| (-805)) (|has| |#3| (-861)) (|has| |#3| (-1070)) (|has| |#3| (-1121))) 
 (|has| |#2| (-1070)) 
 ((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) (((-576)) |has| |#1| (-1059 (-576))) ((|#1|) . T)) 
 (|has| |#1| (-1223)) 
 (|has| |#1| (-1223)) 
-(-2758 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-102)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-861)) (|has| |#2| (-1070)) (|has| |#2| (-1121))) 
+(-2760 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-102)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-861)) (|has| |#2| (-1070)) (|has| |#2| (-1121))) 
 (|has| |#1| (-1223)) 
 (|has| |#1| (-1223)) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) . T)) 
@@ -1993,16 +1993,16 @@
 ((((-1179) (-52)) . T)) 
 (|has| |#1| (-1121)) 
 (((|#1|) |has| |#1| (-174)) (($) . T)) 
-(-2758 (|has| |#2| (-832)) (|has| |#2| (-861))) 
+(-2760 (|has| |#2| (-832)) (|has| |#2| (-861))) 
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1|) . T)) 
 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
 ((((-576)) . T) (($) . T)) 
 ((((-783)) . T)) 
-(-2758 (|has| |#1| (-238)) (|has| |#1| (-237)) (|has| |#1| (-360))) 
-((((-1197)) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) 
-(-2758 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
+(-2760 (|has| |#1| (-238)) (|has| |#1| (-237)) (|has| |#1| (-360))) 
+((((-1197)) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) 
+(-2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
 ((((-876)) . T)) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 (|has| |#2| (-928)) 
@@ -2010,32 +2010,32 @@
 (((|#2|) |has| |#2| (-1121))) 
 ((($) . T) (((-576)) . T)) 
 ((($) . T)) 
-(-2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+(-2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
 ((((-548)) . T) (((-419 (-1193 (-576)))) . T) (((-227)) . T) (((-390)) . T)) 
 ((((-390)) . T) (((-227)) . T) (((-876)) . T)) 
 (|has| |#1| (-928)) 
 (|has| |#1| (-928)) 
-((($ (-1197)) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (($ (-830 (-1197))) . T)) 
+((($ (-1197)) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (($ (-830 (-1197))) . T)) 
 ((((-576)) . T) (((-419 (-576))) . T) (($) . T)) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) 
-((($) -2758 (|has| |#1| (-374)) (|has| |#1| (-360))) (((-419 (-576))) -2758 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) 
+((($) -2760 (|has| |#1| (-374)) (|has| |#1| (-360))) (((-419 (-576))) -2760 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
 (|has| |#1| (-928)) 
-(-2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
-(((|#2|) -2758 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)))) 
-(-2758 (|has| |#1| (-464)) (|has| |#1| (-928))) 
+(-2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+(((|#2|) -2760 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)))) 
+(-2760 (|has| |#1| (-464)) (|has| |#1| (-928))) 
 ((($) . T)) 
 (((|#1|) . T)) 
 ((($) . T) ((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) 
-(((|#2|) -2758 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1070)))) 
+(((|#2|) -2760 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1070)))) 
 (((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121)))) 
 ((((-1195 |#1| |#2| |#3|)) -12 (|has| (-1195 |#1| |#2| |#3|) (-319 (-1195 |#1| |#2| |#3|))) (|has| |#1| (-374)))) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-928))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-928))) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
 ((($ $) . T)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
-((($) -2758 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (-12 (|has| |#1| (-374)) (|has| |#2| (-238))) (-12 (|has| |#1| (-374)) (|has| |#2| (-237))))) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
+((($) -2760 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (-12 (|has| |#1| (-374)) (|has| |#2| (-238))) (-12 (|has| |#1| (-374)) (|has| |#2| (-237))))) 
 ((($) |has| |#1| (-15 * (|#1| (-419 (-576)) |#1|)))) 
 ((((-992)) . T)) 
 ((((-992)) . T) (((-876)) . T)) 
@@ -2044,7 +2044,7 @@
 ((($) . T)) 
 (((|#1|) . T)) 
 ((((-112)) . T)) 
-(-2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
 ((((-576)) . T)) 
 (((|#1| (-576)) . T)) 
 ((($) . T)) 
@@ -2067,7 +2067,7 @@
 (((|#1| (-1252 |#1| |#2| |#3|)) . T)) 
 ((((-876)) . T)) 
 (|has| |#1| (-1121)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 (((|#1| (-783)) . T)) 
 ((((-1179) |#1|) . T)) 
 (((|#1|) . T)) 
@@ -2088,20 +2088,20 @@
 ((((-576)) . T)) 
 ((((-576)) . T)) 
 ((((-876)) . T)) 
-(-2758 (|has| |#1| (-146)) (|has| |#1| (-360))) 
+(-2760 (|has| |#1| (-146)) (|has| |#1| (-360))) 
 ((((-876)) . T)) 
 (|has| |#1| (-148)) 
 (((|#3|) . T)) 
 ((((-876)) . T)) 
 (|has| |#3| (-1070)) 
-((($) -2758 (|has| |#2| (-238)) (|has| |#2| (-237)))) 
+((($) -2760 (|has| |#2| (-238)) (|has| |#2| (-237)))) 
 ((((-1273 |#2| |#3| |#4|)) . T) (((-1274 |#1| |#2| |#3| |#4|)) . T)) 
 ((((-876)) . T)) 
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+((((-48)) -12 (|has| |#1| (-568)) (|has| |#1| (-1059 (-576)))) (((-624 $)) . T) ((|#1|) . T) (((-576)) |has| |#1| (-1059 (-576))) (((-419 (-576))) -2760 (-12 (|has| |#1| (-568)) (|has| |#1| (-1059 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) (((-419 (-971 |#1|))) |has| |#1| (-568)) (((-971 |#1|)) |has| |#1| (-1070)) (((-1197)) . T)) 
 (((|#1|) . T) (($) . T)) 
 (((|#1| (-783)) . T)) 
 (((|#1|) . T)) 
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 (((|#1|) |has| |#1| (-319 |#1|))) 
 ((((-1274 |#1| |#2| |#3| |#4|)) . T)) 
 ((((-576)) |has| |#1| (-901 (-576))) (((-390)) |has| |#1| (-901 (-390)))) 
@@ -2110,31 +2110,31 @@
 (((|#1|) . T)) 
 ((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-568))) 
 (((|#1|) . T)) 
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 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2758 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
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 (((|#1|) |has| |#1| (-174))) 
 ((((-876)) . T)) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 (|has| |#1| (-568)) 
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 (((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121)))) 
 ((($ (-1284 |#2|)) . T) (($ (-1197)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-917 (-1197))))) 
 ((($ (-1284 |#2|)) . T) (($ (-1197)) -12 (|has| |#1| (-15 * (|#1| (-783) |#1|))) (|has| |#1| (-917 (-1197))))) 
 (((|#1|) |has| |#1| (-174)) (($) . T) (((-576)) . T)) 
 (((|#1|) . T)) 
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-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -2758 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -2760 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
 (((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) (((-576)) . T) (($) . T)) 
 (((|#3|) |has| |#3| (-1121))) 
 ((((-929 |#1|)) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
-(((|#2|) -2758 (|has| |#2| (-174)) (|has| |#2| (-374)))) 
+(((|#2|) -2760 (|has| |#2| (-174)) (|has| |#2| (-374)))) 
 ((((-1273 |#2| |#3| |#4|)) . T)) 
 ((((-112)) . T)) 
 (|has| |#1| (-832)) 
@@ -2144,8 +2144,8 @@
 (|has| |#1| (-860)) 
 (|has| |#1| (-860)) 
 (((|#1| (-576) (-1103)) . T)) 
-(-2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+(-2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 (((|#1| (-419 (-576)) (-1103)) . T)) 
 (((|#1| (-783) (-1103)) . T)) 
 (|has| |#1| (-861)) 
@@ -2159,41 +2159,41 @@
 ((((-929 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) 
 (|has| |#1| (-1121)) 
 ((((-419 (-576))) |has| |#2| (-374)) (($) . T) (((-576)) . T)) 
-((((-576)) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070)))) 
+((((-576)) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070)))) 
 (((|#1|) . T)) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
 ((((-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-651 (-576)))) ((|#2|) |has| |#1| (-374))) 
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-((((-701 (-350 (-3581) (-3581 (QUOTE X) (QUOTE HESS)) (-711)))) . T)) 
+(-2760 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-861)) (|has| |#2| (-1070)) (|has| |#2| (-1121))) 
+((((-701 (-350 (-3582) (-3582 (QUOTE X) (QUOTE HESS)) (-711)))) . T)) 
 (((|#2|) |has| |#2| (-174))) 
 (((|#1|) |has| |#1| (-174))) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
-((((-2 (|:| -4300 (-1179)) (|:| -4438 |#1|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
+((((-2 (|:| -4301 (-1179)) (|:| -4440 |#1|))) . T)) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
 ((((-1273 |#2| |#3| |#4|) (-329 |#2| |#3| |#4|)) . T)) 
-(((|#1| |#1|) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1070)))) 
+(((|#1| |#1|) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1070)))) 
 (((|#1|) . T)) 
 ((((-576)) . T)) 
 ((((-576)) . T)) 
-(((|#1|) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1070)))) 
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 (((|#2|) |has| |#2| (-374))) 
 (((|#1|) . T)) 
 ((($) . T) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-374)) (((-576)) |has| |#1| (-651 (-576)))) 
 (|has| |#1| (-861)) 
 (((|#1|) . T)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 (((|#1|) . T) (((-576)) . T)) 
 (((|#2|) . T)) 
 ((((-576)) . T) ((|#3|) . T)) 
-((((-2 (|:| -4300 (-1197)) (|:| -4438 (-52)))) |has| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (-319 (-2 (|:| -4300 (-1197)) (|:| -4438 (-52)))))) 
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 (((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
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-((((-576)) -2758 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070))) ((|#2|) -2758 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1070))) (($) |has| |#2| (-1070))) 
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+((((-576)) -2760 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070))) ((|#2|) -2760 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1070))) (($) |has| |#2| (-1070))) 
 ((((-548)) . T) (((-576)) . T) (((-907 (-576))) . T) (((-390)) . T) (((-227)) . T)) 
 ((((-876)) . T)) 
 ((($) |has| |#1| (-238))) 
@@ -2228,12 +2228,12 @@
 (|has| |#1| (-146)) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1|) |has| |#1| (-174))) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((((-576)) . T) ((|#1|) . T) (($) . T) (((-419 (-576))) . T) (((-1197)) |has| |#1| (-1059 (-1197)))) 
 (((|#1| |#2|) . T)) 
-((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) (((-576)) -2758 (|has| |#1| (-860)) (|has| |#1| (-1059 (-576)))) ((|#1|) . T)) 
-(-2758 (-12 (|has| |#4| (-238)) (|has| |#4| (-1070))) (-12 (|has| |#4| (-237)) (|has| |#4| (-1070)))) 
-(-2758 (-12 (|has| |#3| (-238)) (|has| |#3| (-1070))) (-12 (|has| |#3| (-237)) (|has| |#3| (-1070)))) 
+((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) (((-576)) -2760 (|has| |#1| (-860)) (|has| |#1| (-1059 (-576)))) ((|#1|) . T)) 
+(-2760 (-12 (|has| |#4| (-238)) (|has| |#4| (-1070))) (-12 (|has| |#4| (-237)) (|has| |#4| (-1070)))) 
+(-2760 (-12 (|has| |#3| (-238)) (|has| |#3| (-1070))) (-12 (|has| |#3| (-237)) (|has| |#3| (-1070)))) 
 ((((-145)) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
@@ -2244,13 +2244,13 @@
 ((((-876)) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 ((($) . T) (((-576)) |has| |#1| (-651 (-576))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-374)) 
 ((($ |#2|) . T)) 
 (|has| (-419 |#2|) (-238)) 
 ((((-656 |#1|)) . T)) 
-((($ (-1284 |#2|)) . T) (($ (-1197)) -2758 (-12 (|has| (-1195 |#1| |#2| |#3|) (-917 (-1197))) (|has| |#1| (-374))) (-12 (|has| (-1195 |#1| |#2| |#3|) (-919 (-1197))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197)))))) 
+((($ (-1284 |#2|)) . T) (($ (-1197)) -2760 (-12 (|has| (-1195 |#1| |#2| |#3|) (-917 (-1197))) (|has| |#1| (-374))) (-12 (|has| (-1195 |#1| |#2| |#3|) (-919 (-1197))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197)))))) 
 ((($ (-1284 |#2|)) . T) (($ (-1197)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-917 (-1197))))) 
 ((($ (-1284 |#2|)) . T) (($ (-1197)) -12 (|has| |#1| (-15 * (|#1| (-783) |#1|))) (|has| |#1| (-917 (-1197))))) 
 (|has| |#1| (-928)) 
@@ -2258,7 +2258,7 @@
 (((|#2|) |has| |#2| (-1070))) 
 (|has| |#1| (-374)) 
 ((($) . T)) 
-(((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) (((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) |has| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (-319 (-2 (|:| -4300 |#1|) (|:| -4438 |#2|))))) 
+(((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) (((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) |has| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (-319 (-2 (|:| -4301 |#1|) (|:| -4440 |#2|))))) 
 (((|#1|) |has| |#1| (-174))) 
 ((($ (-878 |#1|)) . T)) 
 (((|#1| |#1|) . T)) 
@@ -2269,7 +2269,7 @@
 (((|#1|) . T)) 
 ((((-419 |#2|)) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
 ((((-656 $)) . T) (((-1179)) . T) (((-1197)) . T) (((-576)) . T) (((-227)) . T) (((-876)) . T)) 
-((((-576)) -2758 (|has| |#3| (-21)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070))) ((|#3|) -2758 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)) (|has| |#3| (-1070))) (($) |has| |#3| (-1070))) 
+((((-576)) -2760 (|has| |#3| (-21)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070))) ((|#3|) -2760 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)) (|has| |#3| (-1070))) (($) |has| |#3| (-1070))) 
 ((((-419 (-576))) . T) (((-576)) . T) (((-624 $)) . T)) 
 (((|#1|) . T)) 
 ((((-876)) . T)) 
@@ -2284,7 +2284,7 @@
 (((|#1| (-419 (-576)) (-1103)) . T)) 
 (((|#1| (-783) (-1103)) . T)) 
 (((#0=(-419 |#2|) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) 
-(((|#1|) . T) (((-576)) -2758 (|has| (-419 (-576)) (-1059 (-576))) (|has| |#1| (-1059 (-576)))) (((-419 (-576))) . T)) 
+(((|#1|) . T) (((-576)) -2760 (|has| (-419 (-576)) (-1059 (-576))) (|has| |#1| (-1059 (-576)))) (((-419 (-576))) . T)) 
 (((|#1| (-614 |#1| |#3|) (-614 |#1| |#2|)) . T)) 
 (((|#1|) |has| |#1| (-174))) 
 (((|#1|) . T)) 
@@ -2304,37 +2304,37 @@
 ((((-711)) . T)) 
 ((((-711)) . T)) 
 (((|#2|) |has| |#2| (-174))) 
-(-2758 (|has| |#1| (-238)) (|has| |#1| (-237))) 
+(-2760 (|has| |#1| (-238)) (|has| |#1| (-237))) 
 ((((-576)) . T) ((|#2|) . T) (((-419 (-576))) |has| |#2| (-1059 (-419 (-576))))) 
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 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
-((((-2 (|:| -4300 (-1179)) (|:| -4438 (-52)))) . T)) 
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 (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
 ((((-576)) . T) (((-419 (-576))) . T) (($) . T)) 
 ((((-876)) . T)) 
-((((-1197)) -2758 (-12 (|has| |#2| (-917 (-1197))) (|has| |#2| (-1070))) (-12 (|has| |#2| (-919 (-1197))) (|has| |#2| (-1070))))) 
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 ((((-576)) . T) (((-419 (-576))) . T) (($) . T)) 
 ((((-876)) . T)) 
 ((((-711)) . T) (((-419 (-576))) . T) (((-576)) . T)) 
 (((|#1| |#1|) |has| |#1| (-174))) 
 (((|#2|) . T)) 
-((($) . T) (((-576)) . T) (((-419 (-576))) -2758 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
+((($) . T) (((-576)) . T) (((-419 (-576))) -2760 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
 ((((-576) |#1|) . T)) 
-(((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) (((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) |has| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (-319 (-2 (|:| -4300 |#1|) (|:| -4438 |#2|))))) 
+(((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) (((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) |has| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (-319 (-2 (|:| -4301 |#1|) (|:| -4440 |#2|))))) 
 ((((-390)) . T)) 
 ((((-711)) . T)) 
 ((((-419 (-576))) . #0=(|has| |#2| (-374))) (($) . #0#)) 
 (((|#1|) |has| |#1| (-174))) 
 ((((-419 (-971 |#1|))) . T)) 
 (((|#2| |#2|) . T)) 
-(-2758 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
-(-2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+(-2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
+(-2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
 (((|#1|) . T)) 
 (((|#2|) . T)) 
 (((|#3|) |has| |#3| (-1070))) 
@@ -2346,7 +2346,7 @@
 ((((-1197)) |has| |#2| (-917 (-1197)))) 
 (|has| |#1| (-861)) 
 ((((-876)) . T)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 (|has| |#1| (-803)) 
 ((((-419 (-576))) . T) (($) . T)) 
 (|has| |#1| (-485)) 
@@ -2354,8 +2354,8 @@
 (|has| |#1| (-379)) 
 (|has| |#1| (-379)) 
 (|has| |#1| (-374)) 
-(-2758 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-485)) (|has| |#1| (-568)) (|has| |#1| (-1070)) (|has| |#1| (-1133))) 
-((($) -2758 (|has| |#1| (-238)) (|has| |#1| (-237)) (|has| |#1| (-360)))) 
+(-2760 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-485)) (|has| |#1| (-568)) (|has| |#1| (-1070)) (|has| |#1| (-1133))) 
+((($) -2760 (|has| |#1| (-238)) (|has| |#1| (-237)) (|has| |#1| (-360)))) 
 ((((-117 |#1|)) . T)) 
 ((((-117 |#1|)) . T)) 
 (|has| |#1| (-360)) 
@@ -2366,7 +2366,7 @@
 (|has| |#1| (-38 (-419 (-576)))) 
 (((|#2|) . T) (((-876)) . T)) 
 (((|#2|) . T) (((-876)) . T)) 
-((($ (-1197)) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) 
+((($ (-1197)) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
@@ -2377,18 +2377,18 @@
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-861)) 
-((((-2 (|:| -4300 (-1179)) (|:| -4438 |#1|))) . T)) 
+((((-2 (|:| -4301 (-1179)) (|:| -4440 |#1|))) . T)) 
 (((|#1| |#2|) . T)) 
 ((($) . T) (((-576)) . T)) 
 (|has| |#1| (-148)) 
 (|has| |#1| (-146)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) |has| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (-319 (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)))) ((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121)))) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) |has| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (-319 (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)))) ((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121)))) 
 (((|#2|) . T)) 
 (|has| |#1| (-15 * (|#1| (-576) |#1|))) 
 (((|#3|) . T)) 
 ((((-117 |#1|)) . T)) 
 (|has| |#1| (-379)) 
-(-2758 (-12 (|has| (-1280 |#1| |#2| |#3|) (-238)) (|has| |#1| (-374))) (-12 (|has| (-1280 |#1| |#2| |#3|) (-237)) (|has| |#1| (-374))) (|has| |#1| (-15 * (|#1| (-576) |#1|)))) 
+(-2760 (-12 (|has| (-1280 |#1| |#2| |#3|) (-238)) (|has| |#1| (-374))) (-12 (|has| (-1280 |#1| |#2| |#3|) (-237)) (|has| |#1| (-374))) (|has| |#1| (-15 * (|#1| (-576) |#1|)))) 
 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) 
 (|has| |#1| (-861)) 
 (|has| |#1| (-15 * (|#1| (-783) |#1|))) 
@@ -2407,17 +2407,17 @@
 (((|#1|) |has| |#1| (-374))) 
 (((|#1|) |has| |#1| (-374))) 
 ((((-876)) . T)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 ((($ $) . T) (((-624 $) $) . T)) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-568))) 
 ((($) . T) (((-1274 |#1| |#2| |#3| |#4|)) . T) (((-419 (-576))) . T)) 
-((($) -2758 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1070))) ((|#1|) -2758 (|has| |#1| (-174)) (|has| |#1| (-1070))) (((-419 (-576))) |has| |#1| (-568)) (((-576)) -12 (|has| |#1| (-651 (-576))) (|has| |#1| (-1070)))) 
-((($) . T) (((-576)) . T) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) . T)) 
+((($) -2760 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1070))) ((|#1|) -2760 (|has| |#1| (-174)) (|has| |#1| (-1070))) (((-419 (-576))) |has| |#1| (-568)) (((-576)) -12 (|has| |#1| (-651 (-576))) (|has| |#1| (-1070)))) 
+((($) . T) (((-576)) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) . T)) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-374)) 
 ((((-390)) . T) (((-576)) . T) (((-419 (-576))) . T)) 
-((((-1197)) -2758 (-12 (|has| |#3| (-917 (-1197))) (|has| |#3| (-1070))) (-12 (|has| |#3| (-919 (-1197))) (|has| |#3| (-1070))))) 
+((((-1197)) -2760 (-12 (|has| |#3| (-917 (-1197))) (|has| |#3| (-1070))) (-12 (|has| |#3| (-919 (-1197))) (|has| |#3| (-1070))))) 
 ((((-656 (-792 |#1| (-878 |#2|)))) . T) (((-876)) . T)) 
 ((((-548)) |has| (-792 |#1| (-878 |#2|)) (-626 (-548)))) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
@@ -2426,17 +2426,17 @@
 (((|#3|) -12 (|has| |#3| (-319 |#3|)) (|has| |#3| (-1121)))) 
 (((|#1|) |has| |#1| (-174))) 
 ((((-876)) . T)) 
-(-2758 (|has| |#2| (-464)) (|has| |#2| (-928))) 
+(-2760 (|has| |#2| (-464)) (|has| |#2| (-928))) 
 (((|#1|) . T)) 
 ((($) . T)) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
 (((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121)))) 
 ((((-783)) . T)) 
 (|has| |#1| (-1121)) 
-((((-576)) -2758 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070))) ((|#2|) -2758 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1070))) (($) |has| |#2| (-1070))) 
+((((-576)) -2760 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070))) ((|#2|) -2760 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1070))) (($) |has| |#2| (-1070))) 
 ((((-876)) . T)) 
 ((((-1197)) . T) (((-876)) . T)) 
 ((((-576)) -12 (|has| |#1| (-21)) (|has| |#2| (-21)))) 
@@ -2444,14 +2444,14 @@
 (|has| |#1| (-146)) 
 (|has| |#1| (-148)) 
 ((((-576)) . T)) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-568))) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-568))) 
 (((#0=(-1273 |#2| |#3| |#4|)) . T) (((-419 (-576))) |has| #0# (-38 (-419 (-576)))) (($) . T)) 
 ((((-576)) . T)) 
 ((($) . T)) 
 (|has| |#1| (-374)) 
-(-2758 (-12 (|has| (-1280 |#1| |#2| |#3|) (-148)) (|has| |#1| (-374))) (|has| |#1| (-148))) 
-(-2758 (-12 (|has| (-1280 |#1| |#2| |#3|) (-146)) (|has| |#1| (-374))) (|has| |#1| (-146))) 
+(-2760 (-12 (|has| (-1280 |#1| |#2| |#3|) (-148)) (|has| |#1| (-374))) (|has| |#1| (-148))) 
+(-2760 (-12 (|has| (-1280 |#1| |#2| |#3|) (-146)) (|has| |#1| (-374))) (|has| |#1| (-146))) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-146)) 
 (|has| |#1| (-148)) 
@@ -2472,29 +2472,29 @@
 ((((-419 (-576))) . #0=(|has| |#2| (-374))) (($) . #0#)) 
 (|has| |#1| (-861)) 
 ((((-419 (-576))) |has| |#2| (-374)) (($) . T)) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
 ((((-1163 |#2| |#1|)) . T) ((|#1|) . T) (((-576)) . T)) 
 (((|#1| |#2|) . T)) 
-((((-576)) . T) ((|#1|) . T) (((-419 (-576))) -2758 (|has| |#1| (-374)) (|has| |#1| (-1059 (-419 (-576)))))) 
-((((-1197)) -2758 (-12 (|has| |#1| (-374)) (|has| |#1| (-917 (-1197)))) (-12 (|has| |#1| (-374)) (|has| |#1| (-919 (-1197)))))) 
+((((-576)) . T) ((|#1|) . T) (((-419 (-576))) -2760 (|has| |#1| (-374)) (|has| |#1| (-1059 (-419 (-576)))))) 
+((((-1197)) -2760 (-12 (|has| |#1| (-374)) (|has| |#1| (-917 (-1197)))) (-12 (|has| |#1| (-374)) (|has| |#1| (-919 (-1197)))))) 
 (((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) 
 (((|#2|) . T) (($) . T) (((-576)) . T)) 
 (((|#1|) . T) (($) . T) (((-576)) . T)) 
-(-2758 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-102)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-861)) (|has| |#2| (-1070)) (|has| |#2| (-1121))) 
+(-2760 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-102)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-861)) (|has| |#2| (-1070)) (|has| |#2| (-1121))) 
 ((((-876)) . T)) 
 ((((-576)) . T)) 
-(-2758 (-12 (|has| |#2| (-238)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1070)))) 
+(-2760 (-12 (|has| |#2| (-238)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1070)))) 
 (((|#1| $) |has| |#1| (-296 |#1| |#1|))) 
 ((((-419 (-576))) . T) (($) . T) (((-419 |#1|)) . T) ((|#1|) . T)) 
 ((((-971 |#1|)) . T) (((-876)) . T)) 
 (((|#3|) . T)) 
-(((|#1| |#1|) . T) (($ $) -2758 (|has| |#1| (-300)) (|has| |#1| (-374))) ((#0=(-419 (-576)) #0#) |has| |#1| (-374))) 
+(((|#1| |#1|) . T) (($ $) -2760 (|has| |#1| (-300)) (|has| |#1| (-374))) ((#0=(-419 (-576)) #0#) |has| |#1| (-374))) 
 ((((-971 |#1|)) . T)) 
-((((-2 (|:| -4300 (-1197)) (|:| -4438 (-52)))) . T)) 
+((((-2 (|:| -4301 (-1197)) (|:| -4440 (-52)))) . T)) 
 ((($) . T)) 
 ((((-576) |#1|) . T)) 
 ((((-1197)) |has| (-419 |#2|) (-917 (-1197)))) 
-(((|#1|) . T) (($) -2758 (|has| |#1| (-300)) (|has| |#1| (-374))) (((-419 (-576))) |has| |#1| (-374))) 
+(((|#1|) . T) (($) -2760 (|has| |#1| (-300)) (|has| |#1| (-374))) (((-419 (-576))) |has| |#1| (-374))) 
 ((((-548)) |has| |#2| (-626 (-548)))) 
 ((((-701 |#2|)) . T) (((-876)) . T)) 
 (((|#1|) . T)) 
@@ -2502,24 +2502,24 @@
 (((|#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1121)))) 
 ((((-884 |#1|)) . T)) 
 (((|#1|) |has| |#1| (-174))) 
-(-2758 (|has| |#4| (-805)) (|has| |#4| (-861))) 
-(-2758 (|has| |#3| (-805)) (|has| |#3| (-861))) 
+(-2760 (|has| |#4| (-805)) (|has| |#4| (-861))) 
+(-2760 (|has| |#3| (-805)) (|has| |#3| (-861))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 ((((-876)) . T)) 
 (((|#1|) . T)) 
 ((($) . T) (((-576)) . T) ((|#2|) . T)) 
 ((((-876)) . T)) 
 (((|#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1121)))) 
-(((|#3|) -2758 (|has| |#3| (-174)) (|has| |#3| (-374)))) 
+(((|#3|) -2760 (|has| |#3| (-174)) (|has| |#3| (-374)))) 
 (((|#2|) |has| |#2| (-1070))) 
 (((|#2|) |has| |#2| (-1070))) 
 (((|#3|) . T)) 
 ((($) . T)) 
 (((|#1|) . T)) 
 ((((-419 |#2|)) . T)) 
-(((|#2|) -2758 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)))) 
+(((|#2|) -2760 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)))) 
 (((|#1|) . T)) 
-(((|#2|) -2758 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1070)))) 
+(((|#2|) -2760 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1070)))) 
 (((|#3|) -12 (|has| |#3| (-319 |#3|)) (|has| |#3| (-1121)))) 
 ((((-1255 (-576)) $) . T) (((-576) |#1|) . T)) 
 (((|#1|) . T)) 
@@ -2528,16 +2528,16 @@
 ((((-419 (-576))) . T) (($) . T)) 
 ((((-419 (-576))) . T) (($) . T)) 
 ((((-419 (-576))) . T) (($) . T)) 
-(-2758 (|has| |#1| (-464)) (|has| |#1| (-1242))) 
+(-2760 (|has| |#1| (-464)) (|has| |#1| (-1242))) 
 ((($) . T)) 
 ((((-419 (-576))) |has| #0=(-419 |#2|) (-1059 (-419 (-576)))) (((-576)) |has| #0# (-1059 (-576))) ((#0#) . T)) 
 (((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) 
 (((|#1| (-783)) . T)) 
 (|has| |#1| (-861)) 
 (((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) 
-((($) -2758 (|has| |#1| (-374)) (|has| |#1| (-360))) (((-419 (-576))) -2758 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
+((($) -2760 (|has| |#1| (-374)) (|has| |#1| (-360))) (((-419 (-576))) -2760 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
 ((((-576)) . T)) 
-((((-2 (|:| -4300 (-1179)) (|:| -4438 (-52)))) |has| (-2 (|:| -4300 (-1179)) (|:| -4438 (-52))) (-319 (-2 (|:| -4300 (-1179)) (|:| -4438 (-52)))))) 
+((((-2 (|:| -4301 (-1179)) (|:| -4440 (-52)))) |has| (-2 (|:| -4301 (-1179)) (|:| -4440 (-52))) (-319 (-2 (|:| -4301 (-1179)) (|:| -4440 (-52)))))) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 (|has| |#1| (-860)) 
 ((((-576) $) . T) (((-656 (-576)) $) . T)) 
@@ -2562,59 +2562,59 @@
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@@ -2626,13 +2626,13 @@
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@@ -2641,10 +2641,10 @@
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@@ -2654,14 +2654,14 @@
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@@ -2670,7 +2670,7 @@
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@@ -2679,13 +2679,13 @@
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@@ -2694,7 +2694,7 @@
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+((($) -2760 (-12 (|has| (-1280 |#1| |#2| |#3|) (-238)) (|has| |#1| (-374))) (-12 (|has| (-1280 |#1| |#2| |#3|) (-237)) (|has| |#1| (-374))) (|has| |#1| (-15 * (|#1| (-576) |#1|))))) 
 ((($) |has| |#1| (-15 * (|#1| (-419 (-576)) |#1|)))) 
 (|has| |#1| (-146)) 
 (|has| |#1| (-148)) 
@@ -2753,16 +2753,16 @@
 (((|#2| |#3|) . T)) 
 (((|#1| (-543 |#2|)) . T)) 
 (((|#1| (-783)) . T)) 
-(-2758 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
+(-2760 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
 (((|#1| (-543 (-1109 (-1197)))) . T)) 
 (((|#1|) |has| |#1| (-174))) 
 (((|#1|) . T)) 
 (|has| |#2| (-928)) 
-(-2758 (|has| |#2| (-805)) (|has| |#2| (-861))) 
+(-2760 (|has| |#2| (-805)) (|has| |#2| (-861))) 
 ((((-876)) . T)) 
-(((|#2|) -2758 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)))) 
-(((|#2|) -2758 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1070)))) 
-((($ (-1197)) -2758 (-12 (|has| |#3| (-917 (-1197))) (|has| |#3| (-1070))) (-12 (|has| |#3| (-919 (-1197))) (|has| |#3| (-1070))))) 
+(((|#2|) -2760 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)))) 
+(((|#2|) -2760 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1070)))) 
+((($ (-1197)) -2760 (-12 (|has| |#3| (-917 (-1197))) (|has| |#3| (-1070))) (-12 (|has| |#3| (-919 (-1197))) (|has| |#3| (-1070))))) 
 ((($ $) . T) ((#0=(-1273 |#2| |#3| |#4|) #0#) . T) ((#1=(-419 (-576)) #1#) |has| #0# (-38 (-419 (-576))))) 
 ((((-929 |#1|)) . T)) 
 (-12 (|has| |#1| (-374)) (|has| |#2| (-832))) 
@@ -2770,14 +2770,14 @@
 ((((-876)) . T)) 
 ((($) . T) (((-576)) . T)) 
 ((($) . T)) 
-(-2758 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) 
+(-2760 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-374)) 
 (((|#1| |#2|) . T)) 
 ((($) . T) ((#0=(-1273 |#2| |#3| |#4|)) . T) (((-419 (-576))) |has| #0# (-38 (-419 (-576))))) 
 ((((-1195 |#1| |#2| |#3|)) |has| |#1| (-374))) 
-(-2758 (-12 (|has| |#1| (-317)) (|has| |#1| (-928))) (|has| |#1| (-374)) (|has| |#1| (-360))) 
-(-2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) 
+(-2760 (-12 (|has| |#1| (-317)) (|has| |#1| (-928))) (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) 
 ((((-576)) |has| |#1| (-651 (-576))) ((|#1|) . T)) 
 (((|#1| |#2|) . T)) 
 ((((-876)) . T)) 
@@ -2815,7 +2815,7 @@
 ((($) . T)) 
 (((|#4|) . T)) 
 ((($) . T)) 
-((($ (-1197)) -2758 (-12 (|has| |#1| (-374)) (|has| |#1| (-917 (-1197)))) (-12 (|has| |#1| (-374)) (|has| |#1| (-919 (-1197)))))) 
+((($ (-1197)) -2760 (-12 (|has| |#1| (-374)) (|has| |#1| (-917 (-1197)))) (-12 (|has| |#1| (-374)) (|has| |#1| (-919 (-1197)))))) 
 ((((-876)) . T)) 
 (((|#1| (-543 (-1197))) . T)) 
 ((($ $) . T)) 
@@ -2825,29 +2825,29 @@
 (((|#2|) . T)) 
 (((|#4| |#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1121)))) 
 (((|#2|) . T)) 
-(((|#2|) -2758 (|has| |#2| (-6 (-4466 "*"))) (|has| |#2| (-174)))) 
-(-2758 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
-(-2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+(((|#2|) -2760 (|has| |#2| (-6 (-4467 "*"))) (|has| |#2| (-174)))) 
+(-2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
+(-2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
 (|has| |#2| (-928)) 
 (|has| |#1| (-928)) 
-((($) -2758 (-12 (|has| |#2| (-238)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1070))))) 
+((($) -2760 (-12 (|has| |#2| (-238)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1070))))) 
 (((|#2|) |has| |#2| (-174))) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 ((((-1280 |#1| |#2| |#3|)) |has| |#1| (-374))) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
 ((((-548)) . T) (((-576)) . T) (((-907 (-576))) . T) (((-390)) . T) (((-227)) . T)) 
 (((|#1| |#2|) . T)) 
 ((($) . T) (((-576)) . T)) 
-((((-2 (|:| -4300 (-1179)) (|:| -4438 (-52)))) . T)) 
+((((-2 (|:| -4301 (-1179)) (|:| -4440 (-52)))) . T)) 
 (((|#1|) . T)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 ((((-876)) . T)) 
 (((|#1| |#2|) . T)) 
 ((($) . T) (((-576)) . T)) 
 (((|#1| (-419 (-576))) . T)) 
 (((|#1|) . T)) 
-(-2758 (|has| |#1| (-300)) (|has| |#1| (-374))) 
+(-2760 (|has| |#1| (-300)) (|has| |#1| (-374))) 
 ((((-145)) . T)) 
 ((((-576)) |has| #0=(-419 |#2|) (-651 (-576))) ((#0#) . T) (((-419 (-576))) . T) (($) . T)) 
 (|has| |#1| (-860)) 
@@ -2863,7 +2863,7 @@
 ((((-876)) . T)) 
 ((((-876)) . T)) 
 ((((-189)) . T) (((-876)) . T)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 (((|#2| |#2|) . T) ((|#1| |#1|) . T)) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
@@ -2880,8 +2880,8 @@
 (|has| |#1| (-861)) 
 ((((-876)) . T)) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-((((-2 (|:| -4300 (-1179)) (|:| -4438 |#1|))) . T)) 
-((($) -2758 (-12 (|has| (-1195 |#1| |#2| |#3|) (-238)) (|has| |#1| (-374))) (-12 (|has| (-1195 |#1| |#2| |#3|) (-237)) (|has| |#1| (-374))) (|has| |#1| (-15 * (|#1| (-576) |#1|))))) 
+((((-2 (|:| -4301 (-1179)) (|:| -4440 |#1|))) . T)) 
+((($) -2760 (-12 (|has| (-1195 |#1| |#2| |#3|) (-238)) (|has| |#1| (-374))) (-12 (|has| (-1195 |#1| |#2| |#3|) (-237)) (|has| |#1| (-374))) (|has| |#1| (-15 * (|#1| (-576) |#1|))))) 
 ((((-876)) . T)) 
 (((|#2|) |has| |#2| (-374))) 
 ((((-876)) . T)) 
@@ -2896,19 +2896,19 @@
 (|has| |#3| (-1070)) 
 (|has| |#1| (-1121)) 
 ((((-1197) (-52)) . T)) 
-(-2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+(-2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-(-2758 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070))) 
-(-2758 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) 
+(-2760 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070))) 
+(-2760 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) 
 (|has| |#1| (-928)) 
 ((((-929 |#1|)) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
 (|has| |#1| (-928)) 
 (((|#1|) . T) (((-576)) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#2|) . T)) 
-((($ (-1197)) -2758 (-12 (|has| |#2| (-917 (-1197))) (|has| |#2| (-1070))) (-12 (|has| |#2| (-919 (-1197))) (|has| |#2| (-1070))))) 
+((($ (-1197)) -2760 (-12 (|has| |#2| (-917 (-1197))) (|has| |#2| (-1070))) (-12 (|has| |#2| (-919 (-1197))) (|has| |#2| (-1070))))) 
 (((#0=(-419 (-576)) #0#) . T) (($ $) . T)) 
 ((((-576)) . T)) 
 (((|#1|) . T)) 
@@ -2920,12 +2920,12 @@
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
 (|has| |#1| (-832)) 
 (((#0=(-929 |#1|) #0#) . T) (($ $) . T) ((#1=(-419 (-576)) #1#) . T)) 
 ((((-419 |#2|)) . T)) 
 (|has| |#1| (-860)) 
-((((-1224 |#1|)) . T) (((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
+((((-1224 |#1|)) . T) (((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
 (((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) . T) ((#1=(-576) #1#) . T) (($ $) . T)) 
 ((((-929 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#2|) |has| |#2| (-1070)) (((-576)) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1070)))) 
@@ -2942,35 +2942,35 @@
 (((|#2|) |has| |#2| (-174))) 
 (((|#1|) . T)) 
 (((|#2|) . T)) 
-(-2758 (|has| |#1| (-146)) (|has| |#1| (-379))) 
-(-2758 (|has| |#1| (-146)) (|has| |#1| (-379))) 
-(-2758 (|has| |#1| (-146)) (|has| |#1| (-379))) 
-((((-2 (|:| -4300 (-1197)) (|:| -4438 (-52)))) . T)) 
+(-2760 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-2760 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-2760 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+((((-2 (|:| -4301 (-1197)) (|:| -4440 (-52)))) . T)) 
 ((((-576) |#3|) . T)) 
-(((#0=(-52)) . T) (((-2 (|:| -4300 (-1197)) (|:| -4438 #0#))) . T)) 
+(((#0=(-52)) . T) (((-2 (|:| -4301 (-1197)) (|:| -4440 #0#))) . T)) 
 (|has| |#1| (-360)) 
 ((((-576)) . T)) 
 ((((-876)) . T)) 
 (((|#1|) . T)) 
 (((#0=(-1274 |#1| |#2| |#3| |#4|) $) |has| #0# (-296 #0# #0#))) 
 (|has| |#1| (-374)) 
-(-2758 (-12 (|has| |#2| (-238)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1070)))) 
-(((|#1|) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1070))) (($) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) (((-576)) -2758 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070)))) 
+(-2760 (-12 (|has| |#2| (-238)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1070)))) 
+(((|#1|) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1070))) (($) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) (((-576)) -2760 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070)))) 
 (((#0=(-1103) |#1|) . T) ((#0# $) . T) (($ $) . T)) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-360))) 
 (((#0=(-419 (-576)) #0#) . T) ((#1=(-711) #1#) . T) (($ $) . T)) 
 ((((-326 |#1|)) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) |has| |#1| (-374))) 
 ((((-876)) . T)) 
 (|has| |#1| (-1121)) 
 (((|#1|) . T)) 
-(((|#1|) -2758 (|has| |#2| (-378 |#1|)) (|has| |#2| (-429 |#1|)))) 
-(((|#1|) -2758 (|has| |#2| (-378 |#1|)) (|has| |#2| (-429 |#1|)))) 
+(((|#1|) -2760 (|has| |#2| (-378 |#1|)) (|has| |#2| (-429 |#1|)))) 
+(((|#1|) -2760 (|has| |#2| (-378 |#1|)) (|has| |#2| (-429 |#1|)))) 
 (((|#2|) . T)) 
 ((((-419 (-576))) . T) (((-711)) . T) (($) . T)) 
 ((((-591)) . T)) 
 (((|#3| |#3|) . T)) 
-((($ (-1197)) -2758 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) 
+((($ (-1197)) -2760 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) 
 (|has| |#1| (-861)) 
 (|has| |#2| (-238)) 
 ((((-878 |#1|)) . T)) 
@@ -2991,10 +2991,10 @@
 (|has| |#1| (-1121)) 
 (((|#2|) . T)) 
 (((|#1|) . T)) 
-((($) -2758 (|has| |#1| (-238)) (|has| |#1| (-237)))) 
+((($) -2760 (|has| |#1| (-238)) (|has| |#1| (-237)))) 
 ((((-576)) . T)) 
 (((|#2|) . T) (((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) ((|#1|) . T) (($) . T) (((-576)) . T)) 
-(-2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+(-2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
 (((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) 
 (((|#1| |#2|) . T)) 
 ((($) . T)) 
@@ -3037,7 +3037,7 @@
 (|has| |#2| (-1043)) 
 ((($) . T)) 
 (|has| |#1| (-928)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 (((|#4|) . T)) 
 ((($) . T)) 
 (((|#2|) . T)) 
@@ -3047,32 +3047,32 @@
 (|has| |#1| (-374)) 
 ((((-929 |#1|)) . T)) 
 ((($) . T) (((-576)) . T) ((|#1|) . T) (((-419 (-576))) . T)) 
-((($) -2758 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((($) |has| |#1| (-860)) (((-576)) -2758 (|has| |#1| (-21)) (|has| |#1| (-860)))) 
+((($) -2760 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) |has| |#1| (-860)) (((-576)) -2760 (|has| |#1| (-21)) (|has| |#1| (-860)))) 
 ((($ $) . T) ((#0=(-419 (-576)) #0#) . T)) 
-(-2758 (|has| |#1| (-379)) (|has| |#1| (-861))) 
+(-2760 (|has| |#1| (-379)) (|has| |#1| (-861))) 
 (((|#1|) . T)) 
 ((((-783)) . T)) 
 ((((-876)) . T)) 
 ((((-1197)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-917 (-1197))))) 
 ((((-419 |#2|) |#3|) . T)) 
-(-2758 (-12 (|has| |#3| (-238)) (|has| |#3| (-1070))) (-12 (|has| |#3| (-237)) (|has| |#3| (-1070)))) 
+(-2760 (-12 (|has| |#3| (-238)) (|has| |#3| (-1070))) (-12 (|has| |#3| (-237)) (|has| |#3| (-1070)))) 
 ((($) . T) (((-419 (-576))) . T)) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) . T) (((-624 $)) . T)) 
 ((((-576)) . T) (($) . T)) 
 ((((-576)) . T) (($) . T)) 
 ((((-783) |#1|) . T)) 
-(((|#2| (-245 (-3502 |#1|) (-783))) . T)) 
+(((|#2| (-245 (-3503 |#1|) (-783))) . T)) 
 (((|#1| (-543 |#3|)) . T)) 
 ((((-419 (-576))) . T)) 
-(-2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+(-2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
 ((((-1179)) . T) (((-876)) . T)) 
-(((#0=(-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) #0#) |has| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (-319 (-2 (|:| -4300 (-1197)) (|:| -4438 (-52)))))) 
+(((#0=(-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) #0#) |has| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (-319 (-2 (|:| -4301 (-1197)) (|:| -4440 (-52)))))) 
 ((((-1179)) . T)) 
 (|has| |#1| (-928)) 
 (|has| |#2| (-374)) 
 (((|#1|) . T) (($) . T) (((-576)) . T)) 
-(-2758 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) 
+(-2760 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) 
 ((((-171 (-390))) . T) (((-227)) . T) (((-390)) . T)) 
 ((((-876)) . T)) 
 (((|#1|) . T)) 
@@ -3089,11 +3089,11 @@
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
-(-2758 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-2760 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (-12 (|has| |#1| (-557)) (|has| |#1| (-840))) 
 ((((-876)) . T)) 
-((((-1197)) -2758 (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197)))) (-12 (|has| |#1| (-374)) (|has| |#2| (-917 (-1197)))))) 
+((((-1197)) -2760 (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197)))) (-12 (|has| |#1| (-374)) (|has| |#2| (-917 (-1197)))))) 
 (|has| |#1| (-374)) 
 ((((-1197)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-917 (-1197))))) 
 (|has| |#1| (-374)) 
@@ -3106,13 +3106,13 @@
 ((((-576) |#1|) . T)) 
 ((((-1197)) |has| |#1| (-917 (-1197)))) 
 (((|#1|) . T)) 
-(-2758 (-12 (|has| |#1| (-238)) (|has| |#1| (-374))) (-12 (|has| |#1| (-237)) (|has| |#1| (-374))) (|has| |#1| (-360))) 
+(-2760 (-12 (|has| |#1| (-238)) (|has| |#1| (-374))) (-12 (|has| |#1| (-237)) (|has| |#1| (-374))) (|has| |#1| (-360))) 
 (((|#2|) |has| |#1| (-374))) 
 (((|#2|) |has| |#1| (-374))) 
-(-2758 (|has| |#4| (-805)) (|has| |#4| (-861))) 
-(-2758 (|has| |#3| (-805)) (|has| |#3| (-861))) 
+(-2760 (|has| |#4| (-805)) (|has| |#4| (-861))) 
+(-2760 (|has| |#3| (-805)) (|has| |#3| (-861))) 
 ((((-576)) . T) (($) . T)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) |has| |#1| (-174))) 
@@ -3147,32 +3147,32 @@
 ((((-390)) -12 (|has| |#1| (-374)) (|has| |#2| (-901 (-390)))) (((-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-901 (-576))))) 
 (((|#1|) . T)) 
 ((($) . T) (((-576)) . T) ((|#2|) . T)) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-568))) 
 (((|#3|) . T)) 
 ((((-1179)) . T) (((-518)) . T) (((-227)) . T) (((-576)) . T)) 
 (((|#1|) . T)) 
 (|has| |#1| (-374)) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-568))) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-568)) 
 (((|#4| |#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1121)))) 
 ((((-419 |#2|)) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
-(-2758 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) 
+(-2760 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) 
 (((|#2|) . T)) 
 (((|#2|) . T)) 
 (|has| |#2| (-1070)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
-((((-2 (|:| -4300 (-1179)) (|:| -4438 |#1|))) . T)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
+((((-2 (|:| -4301 (-1179)) (|:| -4440 |#1|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (((|#1| |#2|) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
-(-2758 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-2760 (|has| |#1| (-146)) (|has| |#1| (-379))) 
 ((($) . T)) 
 (|has| |#1| (-148)) 
-(-2758 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-2760 (|has| |#1| (-146)) (|has| |#1| (-379))) 
 (|has| |#1| (-148)) 
-(-2758 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-2760 (|has| |#1| (-146)) (|has| |#1| (-379))) 
 (|has| |#1| (-148)) 
 ((($) . T)) 
 ((((-593 |#1|)) . T)) 
@@ -3188,7 +3188,7 @@
 ((((-419 (-576))) |has| |#2| (-1059 (-576))) (((-576)) |has| |#2| (-1059 (-576))) (((-1197)) |has| |#2| (-1059 (-1197))) ((|#2|) . T)) 
 (((#0=(-419 |#2|) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) 
 (((|#1|) . T)) 
-(-2758 (|has| |#1| (-146)) (|has| |#1| (-360))) 
+(-2760 (|has| |#1| (-146)) (|has| |#1| (-360))) 
 (|has| |#1| (-148)) 
 ((((-876)) . T)) 
 ((($) . T)) 
@@ -3208,15 +3208,15 @@
 ((((-419 |#2|)) . T)) 
 ((((-876)) . T)) 
 (((|#1|) . T)) 
-((((-1197)) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
+((((-1197)) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
 (|has| |#1| (-803)) 
 (|has| |#1| (-803)) 
 ((((-876)) . T)) 
 ((((-929 |#1|)) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
 ((((-876)) . T)) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
 ((((-115)) . T) ((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
@@ -3225,7 +3225,7 @@
 ((((-1274 |#1| |#2| |#3| |#4|)) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-568)) (((-419 (-576))) |has| |#1| (-568))) 
 ((((-876)) . T)) 
-(-2758 (-12 (|has| |#2| (-238)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1070)))) 
+(-2760 (-12 (|has| |#2| (-238)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1070)))) 
 ((((-876)) . T)) 
 (((|#2|) . T)) 
 (((|#2|) . T)) 
@@ -3238,10 +3238,10 @@
 ((((-876)) . T)) 
 (((|#2|) . T)) 
 ((((-576)) . T)) 
-((((-1197)) -2758 (|has| (-419 |#2|) (-917 (-1197))) (|has| (-419 |#2|) (-919 (-1197))))) 
+((((-1197)) -2760 (|has| (-419 |#2|) (-917 (-1197))) (|has| (-419 |#2|) (-919 (-1197))))) 
 ((((-876)) . T)) 
 ((((-576)) . T)) 
-(-2758 (|has| |#2| (-805)) (|has| |#2| (-861))) 
+(-2760 (|has| |#2| (-805)) (|has| |#2| (-861))) 
 ((((-171 (-390))) . T) (((-227)) . T) (((-390)) . T)) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
@@ -3253,10 +3253,10 @@
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-374)) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
 ((((-576) $) . T) (((-656 (-576)) $) . T)) 
-(-2758 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070)) (|has| |#1| (-1133)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070)) (|has| |#1| (-1133)) (|has| |#1| (-1121))) 
 (|has| |#1| (-1173)) 
 ((((-929 |#1|)) . T) (((-419 (-576))) . T) (($) . T)) 
 ((($) . T)) 
@@ -3266,20 +3266,20 @@
 (((#0=(-117 |#1|) $) |has| #0# (-296 #0# #0#))) 
 (((|#1|) |has| |#1| (-174))) 
 ((((-326 |#1|)) . T) (((-576)) . T)) 
-(-2758 (|has| |#2| (-238)) (|has| |#2| (-237))) 
+(-2760 (|has| |#2| (-238)) (|has| |#2| (-237))) 
 (((|#1|) . T)) 
 ((((-876)) . T)) 
 ((((-115)) . T) ((|#1|) . T)) 
 ((((-876)) . T)) 
-((((-1197)) -2758 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) 
+((((-1197)) -2760 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) 
 (((|#1|) |has| |#1| (-319 |#1|))) 
 ((((-576) |#1|) . T) (((-1255 (-576)) $) . T)) 
 (((|#1| |#2|) . T)) 
 ((((-1197) |#1|) . T)) 
-(((|#1|) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)))) 
+(((|#1|) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)))) 
 (((|#1|) . T)) 
 ((($ (-1197)) . T)) 
-(((|#1|) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1070)))) 
+(((|#1|) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1070)))) 
 ((((-576)) . T) (((-419 (-576))) . T)) 
 (((|#1|) . T)) 
 (|has| |#1| (-568)) 
@@ -3288,15 +3288,15 @@
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-419 |#2|)) . T) (((-419 (-576))) . T) (($) . T)) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-568))) 
 (|has| |#1| (-374)) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-568))) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-568)) 
 ((($) . T)) 
 (|has| |#1| (-1121)) 
 ((((-792 |#1| (-878 |#2|))) |has| (-792 |#1| (-878 |#2|)) (-319 (-792 |#1| (-878 |#2|))))) 
-(-2758 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
+(-2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
 (((|#1|) . T)) 
 (((|#2| |#3|) . T)) 
 (((|#1|) . T)) 
@@ -3305,17 +3305,17 @@
 (((|#1| (-783)) . T)) 
 (|has| |#1| (-238)) 
 (((|#1| (-543 (-1109 (-1197)))) . T)) 
-((($) -2758 (-12 (|has| |#2| (-238)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1070))))) 
+((($) -2760 (-12 (|has| |#2| (-238)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1070))))) 
 ((((-593 |#1|)) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
 ((((-576)) . T) (((-419 (-576))) . T) (($) . T)) 
-((((-2 (|:| -4300 (-1179)) (|:| -4438 (-52)))) . T)) 
+((((-2 (|:| -4301 (-1179)) (|:| -4440 (-52)))) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T) (((-576)) . T)) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 (|has| |#2| (-374)) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
-(-2758 (|has| |#3| (-805)) (|has| |#3| (-861))) 
+(-2760 (|has| |#3| (-805)) (|has| |#3| (-861))) 
 ((((-876)) . T)) 
 ((((-1141)) . T) (((-876)) . T)) 
 ((((-548)) . T) (((-876)) . T)) 
@@ -3326,14 +3326,14 @@
 ((((-576)) . T)) 
 (((|#3|) . T)) 
 ((((-876)) . T)) 
-(-2758 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) 
-((((-576)) . T) (((-419 (-576))) -2758 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1059 (-419 (-576))))) ((|#2|) . T) (($) -2758 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) (((-878 |#1|)) . T)) 
-((((-1146 |#1| |#2|)) . T) ((|#2|) . T) (($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) (((-576)) . T)) 
-((((-1193 |#1|)) . T) (((-576)) . T) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) (((-1103)) . T) ((|#1|) . T) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576)))))) 
-(-2758 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1070))) 
+(-2760 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) 
+((((-576)) . T) (((-419 (-576))) -2760 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1059 (-419 (-576))))) ((|#2|) . T) (($) -2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) (((-878 |#1|)) . T)) 
+((((-1146 |#1| |#2|)) . T) ((|#2|) . T) (($) -2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) (((-576)) . T)) 
+((((-1193 |#1|)) . T) (((-576)) . T) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) (((-1103)) . T) ((|#1|) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576)))))) 
+(-2760 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1070))) 
 (((#0=(-593 |#1|) #0#) . T) (($ $) . T) ((#1=(-419 (-576)) #1#) . T)) 
 ((($ $) . T) ((#0=(-419 (-576)) #0#) . T)) 
-((((-1146 |#1| (-1197))) . T) (((-576)) . T) (((-1109 (-1197))) . T) (($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) (((-1197)) . T)) 
+((((-1146 |#1| (-1197))) . T) (((-576)) . T) (((-1109 (-1197))) . T) (($) -2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) (((-1197)) . T)) 
 (((|#1|) |has| |#1| (-174))) 
 (((|#1| (-1288 |#1|) (-1288 |#1|)) . T)) 
 ((((-593 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) 
@@ -3343,12 +3343,12 @@
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((($) . T) (((-419 (-576))) . T)) 
-(((|#2|) |has| |#2| (-6 (-4466 "*")))) 
+(((|#2|) |has| |#2| (-6 (-4467 "*")))) 
 (((|#1|) . T)) 
 ((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) ((|#1|) . T) (((-576)) . T)) 
 (((|#1|) . T)) 
 ((((-876)) . T)) 
-(((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576)))) ((|#2| |#2|) . T) (($ $) -2758 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
+(((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576)))) ((|#2| |#2|) . T) (($ $) -2760 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
 (((|#2| |#2|) . T) ((|#6| |#6|) . T)) 
 ((((-304 |#3|)) . T)) 
 (((|#1|) . T)) 
@@ -3357,30 +3357,30 @@
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
-((($ $) -2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
-((($ $) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
+((($ $) -2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
+((($ $) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
 (((|#2|) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -2758 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -2760 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
 (((|#2|) . T) ((|#6|) . T)) 
-((($ $) -2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
+((($ $) -2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
 ((((-876)) . T)) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (|has| |#2| (-928)) 
 (|has| |#1| (-928)) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((((-876)) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-((((-2 (|:| -4300 (-1179)) (|:| -4438 |#1|))) . T)) 
+((((-2 (|:| -4301 (-1179)) (|:| -4440 |#1|))) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1| |#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-(-2758 (|has| |#2| (-805)) (|has| |#2| (-861))) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#2| (-805)) (|has| |#2| (-861))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
 (((|#1|) . T)) 
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 ((((-1197)) . T) ((|#1|) . T)) 
@@ -3392,15 +3392,15 @@
 (((#0=(-419 (-576)) #0#) . T)) 
 ((((-419 (-576))) . T)) 
 (((|#1|) |has| |#1| (-174))) 
-(-2758 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070))) 
+(-2760 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-(-2758 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) 
+(-2760 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) 
 (((|#1|) . T)) 
 ((((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 ((((-548)) . T)) 
 ((((-876)) . T)) 
-((($) -2758 (-12 (|has| |#3| (-238)) (|has| |#3| (-1070))) (-12 (|has| |#3| (-237)) (|has| |#3| (-1070))))) 
+((($) -2760 (-12 (|has| |#3| (-238)) (|has| |#3| (-1070))) (-12 (|has| |#3| (-237)) (|has| |#3| (-1070))))) 
 (|has| |#1| (-861)) 
 ((((-876)) . T)) 
 ((((-576)) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-568))) 
@@ -3416,21 +3416,21 @@
 ((($ $) . T) ((#0=(-419 (-576)) #0#) . T)) 
 ((((-1197)) |has| |#1| (-917 (-1197)))) 
 ((((-929 |#1|)) . T) (((-419 (-576))) . T) (($) . T)) 
-((($) . T) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) . T)) 
-(((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576)))) ((|#1| |#1|) . T) (($ $) -2758 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
+((($) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) . T)) 
+(((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576)))) ((|#1| |#1|) . T) (($ $) -2760 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
 ((((-419 |#2|)) . T) (((-419 (-576))) . T) (($) . T)) 
 ((($) . T) (((-419 (-576))) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 (((|#2|) |has| |#2| (-1070)) (((-576)) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1070)))) 
 ((((-419 |#2|)) . T) (((-419 (-576))) . T) (($) . T)) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2758 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2760 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
 (|has| |#1| (-568)) 
 (((|#1|) |has| |#1| (-374))) 
 ((((-576)) . T)) 
 ((((-1197) #0=(-117 |#1|)) |has| #0# (-526 (-1197) #0#)) ((#0# #0#) |has| #0# (-319 #0#))) 
 (|has| |#1| (-803)) 
 (|has| |#1| (-803)) 
-((((-1197)) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) 
+((((-1197)) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) 
 (((|#2|) . T) (((-576)) |has| |#2| (-1059 (-576))) (((-419 (-576))) |has| |#2| (-1059 (-419 (-576))))) 
 ((((-1103)) . T) ((|#2|) . T) (((-576)) |has| |#2| (-1059 (-576))) (((-419 (-576))) |has| |#2| (-1059 (-419 (-576))))) 
 (((|#1|) . T)) 
@@ -3449,11 +3449,11 @@
 ((($) |has| |#1| (-379))) 
 (|has| |#2| (-832)) 
 (|has| |#2| (-832)) 
-((((-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-651 (-576)))) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2|) |has| |#1| (-374)) (($) . T) ((|#1|) . T)) 
+((((-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-651 (-576)))) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2|) |has| |#1| (-374)) (($) . T) ((|#1|) . T)) 
 ((($ (-1197)) |has| |#1| (-917 (-1197)))) 
 (((|#1|) . T) (((-576)) |has| |#1| (-1059 (-576))) (((-419 (-576))) |has| |#1| (-1059 (-419 (-576))))) 
-((($) -2758 (-12 (|has| |#1| (-238)) (|has| |#1| (-374))) (-12 (|has| |#1| (-237)) (|has| |#1| (-374))) (|has| |#1| (-360)))) 
-(((|#1|) . T) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) . T)) 
+((($) -2760 (-12 (|has| |#1| (-238)) (|has| |#1| (-374))) (-12 (|has| |#1| (-237)) (|has| |#1| (-374))) (|has| |#1| (-360)))) 
+(((|#1|) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) . T)) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 ((((-576)) |has| |#1| (-901 (-576))) (((-390)) |has| |#1| (-901 (-390)))) 
 (((|#1|) . T)) 
@@ -3468,7 +3468,7 @@
 (|has| |#1| (-374)) 
 (|has| |#1| (-374)) 
 (((|#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1121)))) 
-(((|#2|) -2758 (|has| |#2| (-6 (-4466 "*"))) (|has| |#2| (-174)))) 
+(((|#2|) -2760 (|has| |#2| (-6 (-4467 "*"))) (|has| |#2| (-174)))) 
 (((|#2|) . T)) 
 (|has| |#1| (-374)) 
 (((|#2|) . T)) 
@@ -3482,12 +3482,12 @@
 (((|#2| (-783)) . T)) 
 ((((-1197)) . T)) 
 ((((-884 |#1|)) . T)) 
-(-2758 (|has| |#3| (-21)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070))) 
-(-2758 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-805)) (|has| |#3| (-1070))) 
+(-2760 (|has| |#3| (-21)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070))) 
+(-2760 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-805)) (|has| |#3| (-1070))) 
 ((((-876)) . T)) 
 (((|#1|) . T)) 
-(-2758 (|has| |#2| (-805)) (|has| |#2| (-861))) 
-(-2758 (-12 (|has| |#1| (-805)) (|has| |#2| (-805))) (-12 (|has| |#1| (-861)) (|has| |#2| (-861)))) 
+(-2760 (|has| |#2| (-805)) (|has| |#2| (-861))) 
+(-2760 (-12 (|has| |#1| (-805)) (|has| |#2| (-805))) (-12 (|has| |#1| (-861)) (|has| |#2| (-861)))) 
 ((((-884 |#1|)) . T)) 
 (((|#1|) . T)) 
 (|has| |#1| (-379)) 
@@ -3505,7 +3505,7 @@
 (((|#1|) . T)) 
 ((((-876)) . T)) 
 ((($) . T) ((|#2|) . T) (((-419 (-576))) . T) (((-576)) |has| |#2| (-651 (-576)))) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
@@ -3514,7 +3514,7 @@
 (((|#1|) . T)) 
 ((((-876)) . T)) 
 (|has| |#2| (-928)) 
-((((-2 (|:| -4300 (-1197)) (|:| -4438 (-52)))) . T)) 
+((((-2 (|:| -4301 (-1197)) (|:| -4440 (-52)))) . T)) 
 ((((-548)) |has| |#2| (-626 (-548))) (((-907 (-390))) |has| |#2| (-626 (-907 (-390)))) (((-907 (-576))) |has| |#2| (-626 (-907 (-576))))) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
@@ -3525,7 +3525,7 @@
 ((((-1193 |#1|)) . T) (((-876)) . T)) 
 ((((-876)) . T)) 
 ((((-419 (-576))) |has| |#2| (-1059 (-419 (-576)))) (((-576)) |has| |#2| (-1059 (-576))) ((|#2|) . T) (((-878 |#1|)) . T)) 
-((((-1197)) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (((-1103)) . T)) 
+((((-1197)) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (((-1103)) . T)) 
 ((((-117 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) 
 ((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) (((-576)) |has| |#1| (-1059 (-576))) ((|#1|) . T) (((-1197)) . T)) 
 ((((-876)) . T)) 
@@ -3544,10 +3544,10 @@
 ((((-656 |#1|)) . T)) 
 ((($) |has| |#1| (-15 * (|#1| (-419 (-576)) |#1|)))) 
 ((($) . T) (((-576)) . T) (((-1274 |#1| |#2| |#3| |#4|)) . T) (((-419 (-576))) . T)) 
-((((-576)) -2758 (|has| |#1| (-21)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1070))) (($) -2758 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1070))) ((|#1|) -2758 (|has| |#1| (-174)) (|has| |#1| (-1070))) (((-419 (-576))) |has| |#1| (-568))) 
+((((-576)) -2760 (|has| |#1| (-21)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1070))) (($) -2760 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1070))) ((|#1|) -2760 (|has| |#1| (-174)) (|has| |#1| (-1070))) (((-419 (-576))) |has| |#1| (-568))) 
 ((((-1202)) . T)) 
 ((((-576)) . T) (((-419 (-576))) . T)) 
-((($ (-1197)) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) 
+((($ (-1197)) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) 
 ((((-1202)) . T)) 
 ((((-1202)) . T)) 
 (((|#1|) |has| |#1| (-174)) (($) . T)) 
@@ -3561,16 +3561,16 @@
 ((((-419 |#2|) |#3|) . T)) 
 ((((-876)) . T)) 
 (((|#1|) . T)) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
-(((|#2| (-494 (-3502 |#1|) (-783))) . T)) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
+(((|#2| (-494 (-3503 |#1|) (-783))) . T)) 
 ((((-576) |#1|) . T)) 
 ((((-1179)) . T) (((-876)) . T)) 
 (((|#2| |#2|) . T)) 
 (((|#1| (-543 (-1197))) . T)) 
-(-2758 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) 
+(-2760 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) 
 ((((-576)) . T)) 
 (((|#2|) . T)) 
-((($) -2758 (-12 (|has| |#2| (-238)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1070))))) 
+((($) -2760 (-12 (|has| |#2| (-238)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1070))))) 
 (((|#2|) . T)) 
 ((((-1197)) |has| |#1| (-917 (-1197))) (((-1103)) . T)) 
 (((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) 
@@ -3579,9 +3579,9 @@
 ((($) . T) (((-419 (-576))) . T)) 
 ((($) . T)) 
 ((($) . T)) 
-(-2758 (|has| |#1| (-861)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-861)) (|has| |#1| (-1121))) 
 (((|#1|) . T)) 
-((($) -2758 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((((-876)) . T)) 
 ((((-145)) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T)) 
@@ -3590,7 +3590,7 @@
 ((((-876)) . T)) 
 (((|#1|) . T)) 
 (|has| |#1| (-1173)) 
-((($ (-1197)) -2758 (|has| (-419 |#2|) (-917 (-1197))) (|has| (-419 |#2|) (-919 (-1197))))) 
+((($ (-1197)) -2760 (|has| (-419 |#2|) (-917 (-1197))) (|has| (-419 |#2|) (-919 (-1197))))) 
 (((|#1|) . T)) 
 (((|#1| (-543 (-878 |#2|)) (-878 |#2|) (-792 |#1| (-878 |#2|))) . T)) 
 ((((-419 $) (-419 $)) |has| |#1| (-568)) (($ $) . T) ((|#1| |#1|) . T)) 
@@ -3615,44 +3615,44 @@
 (|has| |#1| (-1121)) 
 (|has| |#1| (-1121)) 
 (|has| |#2| (-374)) 
-(((|#1|) . T) (($) -2758 (|has| |#1| (-300)) (|has| |#1| (-374))) (((-419 (-576))) |has| |#1| (-374))) 
+(((|#1|) . T) (($) -2760 (|has| |#1| (-300)) (|has| |#1| (-374))) (((-419 (-576))) |has| |#1| (-374))) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-38 (-419 (-576)))) 
-((($) -2758 (|has| |#2| (-238)) (|has| |#2| (-237)))) 
+((($) -2760 (|has| |#2| (-238)) (|has| |#2| (-237)))) 
 ((((-576)) . T)) 
 (|has| |#1| (-1121)) 
-((($ (-1197)) -2758 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) 
+((($ (-1197)) -2760 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) 
 ((((-1197)) -12 (|has| |#4| (-917 (-1197))) (|has| |#4| (-1070)))) 
 ((((-1197)) -12 (|has| |#3| (-917 (-1197))) (|has| |#3| (-1070)))) 
 (((|#1|) . T)) 
 (|has| |#1| (-238)) 
-(((|#2| (-245 (-3502 |#1|) (-783))) . T)) 
+(((|#2| (-245 (-3503 |#1|) (-783))) . T)) 
 (((|#1| (-543 |#3|)) . T)) 
 (|has| |#1| (-379)) 
 (|has| |#1| (-379)) 
 (|has| |#1| (-379)) 
 (((|#1|) . T) (($) . T)) 
 (((|#1| (-543 |#2|)) . T)) 
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 (((|#1| (-783)) . T)) 
 (|has| |#1| (-568)) 
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 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) 
 ((((-876)) . T)) 
 ((((-576)) . T) (((-419 (-576))) . T) (($) . T)) 
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 (|has| |#2| (-1070)) 
 (((|#1|) |has| |#1| (-174))) 
 (((|#4|) |has| |#4| (-1070))) 
 (((|#3|) |has| |#3| (-1070))) 
 (-12 (|has| |#1| (-374)) (|has| |#2| (-832))) 
 (-12 (|has| |#1| (-374)) (|has| |#2| (-832))) 
-((((-576)) . T) (((-419 (-576))) -2758 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1059 (-419 (-576))))) ((|#2|) . T) (($) -2758 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) (((-878 |#1|)) . T)) 
-((((-1146 |#1| |#2|)) . T) (((-576)) . T) ((|#3|) . T) (($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) ((|#2|) . T)) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
+((((-576)) . T) (((-419 (-576))) -2760 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1059 (-419 (-576))))) ((|#2|) . T) (($) -2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) (((-878 |#1|)) . T)) 
+((((-1146 |#1| |#2|)) . T) (((-576)) . T) ((|#3|) . T) (($) -2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) ((|#2|) . T)) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
@@ -3671,18 +3671,18 @@
 (((|#3|) |has| |#3| (-1121)) (((-576)) -12 (|has| |#3| (-1059 (-576))) (|has| |#3| (-1121))) (((-419 (-576))) -12 (|has| |#3| (-1059 (-419 (-576)))) (|has| |#3| (-1121)))) 
 (|has| |#2| (-374)) 
 (((|#2|) |has| |#2| (-1070)) (((-576)) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1070)))) 
-(-2758 (|has| |#1| (-379)) (|has| |#1| (-861))) 
+(-2760 (|has| |#1| (-379)) (|has| |#1| (-861))) 
 (((|#1|) . T)) 
-(((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576)))) ((|#2| |#2|) . T) (($ $) -2758 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
-((($ $) -2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
+(((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576)))) ((|#2| |#2|) . T) (($ $) -2760 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
+((($ $) -2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1| |#1|) . T) (($ $) . T) ((#0=(-419 (-576)) #0#) . T)) 
 (((|#1| |#1|) . T) (($ $) . T) ((#0=(-419 (-576)) #0#) . T)) 
 (((|#1| |#1|) . T) (($ $) . T) ((#0=(-419 (-576)) #0#) . T)) 
 ((((-1197)) |has| |#1| (-1070))) 
 (|has| |#2| (-374)) 
 (((|#2| |#2|) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -2758 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -2760 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
@@ -3694,11 +3694,11 @@
 (((|#1|) . T)) 
 (|has| |#2| (-832)) 
 (|has| |#2| (-832)) 
-((($) -2758 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) 
 (|has| |#1| (-374)) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (|has| |#1| (-374)) 
 (((|#1|) |has| |#2| (-429 |#1|))) 
 (((|#1|) |has| |#2| (-429 |#1|))) 
@@ -3707,7 +3707,7 @@
 ((((-876)) . T) (((-1202)) . T)) 
 ((((-876)) . T) (((-1202)) . T)) 
 ((((-876)) . T) (((-1202)) . T)) 
-((((-656 |#1|)) . T) (((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
+((((-656 |#1|)) . T) (((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
 ((((-1202)) . T)) 
 ((((-1202)) . T)) 
 ((((-1202)) . T)) 
@@ -3722,19 +3722,19 @@
 ((((-1202)) . T)) 
 ((((-876)) . T) (((-1202)) . T)) 
 ((((-1202)) . T)) 
-((((-2 (|:| -4300 (-1197)) (|:| -4438 (-52)))) |has| (-2 (|:| -4300 (-1197)) (|:| -4438 (-52))) (-319 (-2 (|:| -4300 (-1197)) (|:| -4438 (-52)))))) 
-(-2758 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
+((((-2 (|:| -4301 (-1197)) (|:| -4440 (-52)))) |has| (-2 (|:| -4301 (-1197)) (|:| -4440 (-52))) (-319 (-2 (|:| -4301 (-1197)) (|:| -4440 (-52)))))) 
+(-2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
 ((((-576) |#1|) . T)) 
 ((((-576) |#1|) . T)) 
 ((((-576) |#1|) . T)) 
-(-2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+(-2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
 ((((-576) |#1|) . T)) 
 (((|#1|) . T)) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
-(-2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
-((($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-576)) . T) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+(-2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+((($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-576)) . T) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) 
 ((((-1197)) |has| |#1| (-917 (-1197))) (((-830 (-1197))) . T)) 
-(-2758 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-805)) (|has| |#3| (-1070))) 
+(-2760 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-805)) (|has| |#3| (-1070))) 
 ((((-831 |#1|)) . T)) 
 (((|#1| |#2|) . T)) 
 ((((-876)) . T)) 
@@ -3747,21 +3747,21 @@
 (((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-568)) (((-419 (-576))) |has| |#1| (-568))) 
 (((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) 
 (|has| |#1| (-374)) 
-(-2758 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (-12 (|has| |#1| (-374)) (|has| |#2| (-238)))) 
+(-2760 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (-12 (|has| |#1| (-374)) (|has| |#2| (-238)))) 
 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) 
 (|has| |#1| (-374)) 
 (((|#1|) . T)) 
-(((#0=(-419 (-576)) #0#) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($ $) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1| |#1|) . T)) 
+(((#0=(-419 (-576)) #0#) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($ $) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1| |#1|) . T)) 
 ((((-1255 (-576)) $) . T) (((-576) |#1|) . T)) 
 ((((-326 |#1|)) . T)) 
 ((((-929 |#1|)) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 (((#0=(-711) (-1193 #0#)) . T)) 
-((((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1|) . T)) 
+((((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1|) . T)) 
 (((|#1|) . T) (($) . T) (((-576)) . T) (((-419 (-576))) . T)) 
 (((|#1| |#2| |#3| |#4|) . T)) 
 (|has| |#1| (-860)) 
-(((|#2|) . T) (((-1197)) -12 (|has| |#1| (-374)) (|has| |#2| (-1059 (-1197)))) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-576)) . T) ((|#1|) |has| |#1| (-174))) 
-(((|#2|) . T) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-576)) . T) (($) -2758 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+(((|#2|) . T) (((-1197)) -12 (|has| |#1| (-374)) (|has| |#2| (-1059 (-1197)))) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-576)) . T) ((|#1|) |has| |#1| (-174))) 
+(((|#2|) . T) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-576)) . T) (($) -2760 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
 ((($ $) . T) ((#0=(-878 |#1|) $) . T) ((#0# |#2|) . T)) 
 ((((-1146 |#1| (-1197))) . T) (((-830 (-1197))) . T) ((|#1|) . T) (((-576)) |has| |#1| (-1059 (-576))) (((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) (((-1197)) . T)) 
 ((($) . T)) 
@@ -3779,12 +3779,12 @@
 (((#0=(-1274 |#1| |#2| |#3| |#4|)) |has| #0# (-319 #0#))) 
 ((($) . T)) 
 (((|#1|) . T)) 
-((($ $) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2| |#2|) |has| |#1| (-374)) ((|#1| |#1|) . T)) 
-(((|#1| |#1|) . T) (($ $) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
+((($ $) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2| |#2|) |has| |#1| (-374)) ((|#1| |#1|) . T)) 
+(((|#1| |#1|) . T) (($ $) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
 (|has| |#2| (-238)) 
 (|has| $ (-148)) 
 ((((-876)) . T)) 
-((($) . T) (((-419 (-576))) -2758 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) 
+((($) . T) (((-419 (-576))) -2760 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) 
 ((((-876)) . T)) 
 (|has| |#1| (-860)) 
 ((((-130)) . T)) 
@@ -3792,7 +3792,7 @@
 ((((-419 (-576))) . T) (((-711)) . T) (($) . T) (((-576)) . T)) 
 (((|#1|) . T)) 
 ((((-130)) . T)) 
-((($ (-1197)) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) 
+((($ (-1197)) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) 
 ((((-876)) . T)) 
 (-12 (|has| |#1| (-317)) (|has| |#1| (-928))) 
 (((|#2| (-684 |#1|)) . T)) 
@@ -3801,24 +3801,24 @@
 ((((-876)) |has| |#1| (-1121))) 
 (((|#4|) . T)) 
 (|has| |#1| (-568)) 
-((($) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2|) |has| |#1| (-374)) ((|#1|) . T)) 
-((((-1197)) -2758 (-12 (|has| (-1280 |#1| |#2| |#3|) (-917 (-1197))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197)))))) 
-(((|#1|) . T) (($) -2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2758 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
+((($) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2|) |has| |#1| (-374)) ((|#1|) . T)) 
+((((-1197)) -2760 (-12 (|has| (-1280 |#1| |#2| |#3|) (-917 (-1197))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197)))))) 
+(((|#1|) . T) (($) -2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2760 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
 ((((-1197)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-917 (-1197))))) 
 ((((-1255 (-576)) $) . T) (((-576) |#1|) . T)) 
-(-2758 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
+(-2760 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
 ((((-1197)) -12 (|has| |#1| (-15 * (|#1| (-783) |#1|))) (|has| |#1| (-917 (-1197))))) 
 (((|#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1121)))) 
 (((|#1|) . T)) 
 (((|#1| (-543 (-830 (-1197)))) . T)) 
-(-2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
-(-2758 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+(-2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+(-2760 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
 ((((-576)) . T) ((|#2|) . T) (($) . T) (((-419 (-576))) . T) (((-1197)) |has| |#2| (-1059 (-1197)))) 
 (((|#1|) . T)) 
-(-2758 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+(-2760 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
 (((|#1|) . T)) 
-(-2758 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) 
-(-2758 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-132)) (|has| |#2| (-132))) (-12 (|has| |#1| (-805)) (|has| |#2| (-805)))) 
+(-2760 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) 
+(-2760 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-132)) (|has| |#2| (-132))) (-12 (|has| |#1| (-805)) (|has| |#2| (-805)))) 
 ((((-1280 |#1| |#2| |#3|)) |has| |#1| (-374))) 
 ((($) . T) (((-884 |#1|)) . T) (((-419 (-576))) . T)) 
 ((((-1280 |#1| |#2| |#3|)) |has| |#1| (-374))) 
@@ -3827,15 +3827,15 @@
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-419 |#2|)) . T)) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-360))) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-360))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
 (((|#1|) . T)) 
 (((|#2| |#2|) . T) ((#0=(-419 (-576)) #0#) . T) (($ $) . T)) 
 (((|#2|) . T) (((-419 (-576))) . T) (($) . T)) 
@@ -3855,7 +3855,7 @@
 ((((-876)) . T)) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
-(-2758 (|has| |#1| (-238)) (|has| |#1| (-237))) 
+(-2760 (|has| |#1| (-238)) (|has| |#1| (-237))) 
 (((|#1|) . T) (((-876)) . T) (((-1202)) . T)) 
 ((((-1202)) . T)) 
 ((((-876)) . T)) 
@@ -3864,21 +3864,21 @@
 ((($) . T) (((-576)) . T) (((-117 |#1|)) . T) (((-419 (-576))) . T)) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 (((|#1| (-543 (-878 |#2|)) (-878 |#2|) (-792 |#1| (-878 |#2|))) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2758 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) 
 (((|#2|) . T) ((|#6|) . T)) 
 ((($) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) 
 ((($) . T) (((-576)) . T)) 
-((($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((((-1125)) . T)) 
 ((((-876)) . T)) 
 ((((-1202)) . T) (((-876)) . T)) 
 ((((-1202)) . T) (((-876)) . T)) 
 ((((-1202)) . T)) 
 ((((-1202)) . T)) 
-((($) -2758 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((($) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) 
 ((($) . T) (((-576)) . T)) 
-((($) -2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (|has| |#2| (-928)) 
 (((|#1| |#2| (-245 |#1| |#2|) (-245 |#1| |#2|)) . T)) 
 ((((-876)) . T)) 
@@ -3894,9 +3894,9 @@
 (((|#1| |#1|) |has| |#1| (-174))) 
 ((((-711)) . T)) 
 ((((-711)) . T)) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
 ((((-1202)) . T)) 
-(-2758 (|has| |#2| (-805)) (|has| |#2| (-861))) 
+(-2760 (|has| |#2| (-805)) (|has| |#2| (-861))) 
 (((|#1|) |has| |#1| (-174))) 
 ((((-1202)) . T)) 
 ((((-1274 |#1| |#2| |#3| |#4|)) . T) (($) . T) (((-419 (-576))) . T)) 
@@ -3906,20 +3906,20 @@
 (((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-568)) (($) |has| |#1| (-568))) 
 ((((-419 (-576))) . T) (($) . T)) 
 (((|#1| (-576)) . T)) 
-((($ (-1197)) -2758 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (($ (-1103)) . T)) 
+((($ (-1197)) -2760 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (($ (-1103)) . T)) 
 ((((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 (((|#1|) |has| |#1| (-174))) 
 ((((-1202)) . T)) 
 ((((-1202)) . T)) 
 ((((-1202)) . T)) 
 ((((-1202)) . T)) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-360))) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-360))) 
 ((((-1202)) . T)) 
 ((((-1202)) . T)) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-374)) 
-(-2758 (|has| |#1| (-174)) (|has| |#1| (-568))) 
+(-2760 (|has| |#1| (-174)) (|has| |#1| (-568))) 
 (((|#1| (-576)) . T)) 
 (((|#1| (-419 (-576))) . T)) 
 (((|#1| (-783)) . T)) 
@@ -3927,24 +3927,24 @@
 (((|#1| (-543 |#2|) |#2|) . T)) 
 ((((-576) |#1|) . T)) 
 ((((-576) |#1|) . T)) 
-(-2758 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
-(-2758 (|has| (-419 |#2|) (-238)) (|has| (-419 |#2|) (-237))) 
+(-2760 (|has| |#1| (-102)) (|has| |#1| (-1121))) 
+(-2760 (|has| (-419 |#2|) (-238)) (|has| (-419 |#2|) (-237))) 
 ((((-576) |#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-907 (-390))) . T) (((-907 (-576))) . T) (((-1197)) . T) (((-548)) . T)) 
-(-2758 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) 
-(-2758 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-23)) (|has| |#2| (-23))) (-12 (|has| |#1| (-132)) (|has| |#2| (-132))) (-12 (|has| |#1| (-805)) (|has| |#2| (-805)))) 
+(-2760 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) 
+(-2760 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-23)) (|has| |#2| (-23))) (-12 (|has| |#1| (-132)) (|has| |#2| (-132))) (-12 (|has| |#1| (-805)) (|has| |#2| (-805)))) 
 ((((-876)) . T)) 
 ((((-576)) . T)) 
 ((((-576)) . T)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 (((|#1| |#2|) . T)) 
 (((|#1|) . T)) 
 ((((-1197)) -12 (|has| |#2| (-917 (-1197))) (|has| |#2| (-1070)))) 
 (|has| |#2| (-1070)) 
-(-2758 (-12 (|has| |#1| (-485)) (|has| |#2| (-485))) (-12 (|has| |#1| (-738)) (|has| |#2| (-738)))) 
+(-2760 (-12 (|has| |#1| (-485)) (|has| |#2| (-485))) (-12 (|has| |#1| (-738)) (|has| |#2| (-738)))) 
 (|has| |#1| (-146)) 
 (|has| |#1| (-148)) 
 (|has| |#1| (-374)) 
@@ -3977,7 +3977,7 @@
 (((|#1| |#2|) . T)) 
 ((((-576)) . T) ((|#2|) |has| |#2| (-174))) 
 ((((-115)) . T) ((|#1|) . T) (((-576)) . T)) 
-(-2758 (|has| |#1| (-360)) (|has| |#1| (-379))) 
+(-2760 (|has| |#1| (-360)) (|has| |#1| (-379))) 
 (((|#1| |#2|) . T)) 
 ((((-227)) . T)) 
 ((((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
@@ -3986,11 +3986,11 @@
 ((($) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) 
 ((($) . T) (((-576)) |has| |#1| (-651 (-576))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#2|) |has| |#2| (-1121)) (((-576)) -12 (|has| |#2| (-1059 (-576))) (|has| |#2| (-1121))) (((-419 (-576))) -12 (|has| |#2| (-1059 (-419 (-576)))) (|has| |#2| (-1121)))) 
-(-2758 (|has| |#2| (-238)) (|has| |#2| (-237))) 
+(-2760 (|has| |#2| (-238)) (|has| |#2| (-237))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) 
 ((((-576) $) . T) (((-656 (-576)) $) . T)) 
 ((($) . T) (((-419 (-576))) . T)) 
 (|has| |#1| (-928)) 
@@ -4002,14 +4002,14 @@
 (((|#1| |#1|) |has| |#1| (-174))) 
 (((|#1|) . T) (((-576)) . T)) 
 ((((-1202)) . T)) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-568))) 
-(-2758 (|has| |#1| (-21)) (|has| |#1| (-860))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-2760 (|has| |#1| (-21)) (|has| |#1| (-860))) 
 (((|#2|) . T)) 
-(-2758 (|has| |#1| (-21)) (|has| |#1| (-860))) 
+(-2760 (|has| |#1| (-21)) (|has| |#1| (-860))) 
 (((|#1|) |has| |#1| (-174))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-((((-876)) -2758 (-12 (|has| |#1| (-625 (-876))) (|has| |#2| (-625 (-876)))) (-12 (|has| |#1| (-1121)) (|has| |#2| (-1121))))) 
+((((-876)) -2760 (-12 (|has| |#1| (-625 (-876))) (|has| |#2| (-625 (-876)))) (-12 (|has| |#1| (-1121)) (|has| |#2| (-1121))))) 
 ((((-419 |#2|) |#3|) . T)) 
 ((((-419 (-576))) . T) (($) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
@@ -4018,7 +4018,7 @@
 ((($) . T) (((-576)) . T)) 
 (|has| (-419 |#2|) (-148)) 
 (|has| (-419 |#2|) (-146)) 
-(-2758 (|has| |#3| (-805)) (|has| |#3| (-861))) 
+(-2760 (|has| |#3| (-805)) (|has| |#3| (-861))) 
 ((($) . T)) 
 ((((-711)) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
@@ -4034,7 +4034,7 @@
 ((((-1202)) . T)) 
 ((((-576)) . T)) 
 (((|#2|) . T)) 
-((((-1197)) -2758 (-12 (|has| (-1195 |#1| |#2| |#3|) (-917 (-1197))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197)))))) 
+((((-1197)) -2760 (-12 (|has| (-1195 |#1| |#2| |#3|) (-917 (-1197))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197)))))) 
 ((((-1197)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-917 (-1197))))) 
 ((((-1197)) -12 (|has| |#1| (-15 * (|#1| (-783) |#1|))) (|has| |#1| (-917 (-1197))))) 
 (((|#1| |#1|) . T) (($ $) . T)) 
@@ -4050,11 +4050,11 @@
 ((((-1195 |#1| |#2| |#3|)) |has| |#1| (-374))) 
 ((((-1161 |#1| |#2|)) . T)) 
 ((((-1195 |#1| |#2| |#3|)) |has| |#1| (-374))) 
-(((|#2|) . T) (((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
-((((-2 (|:| -4300 (-1197)) (|:| -4438 (-52)))) . T)) 
+(((|#2|) . T) (((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
+((((-2 (|:| -4301 (-1197)) (|:| -4440 (-52)))) . T)) 
 ((($) . T)) 
 (|has| |#1| (-1043)) 
-(((|#2|) . T) (((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+(((|#2|) . T) (((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 ((($) . T)) 
 ((((-876)) . T)) 
 ((((-548)) |has| |#2| (-626 (-548))) (((-907 (-576))) |has| |#2| (-626 (-907 (-576)))) (((-907 (-390))) |has| |#2| (-626 (-907 (-390)))) (((-390)) . #0=(|has| |#2| (-1043))) (((-227)) . #0#)) 
@@ -4063,7 +4063,7 @@
 (((|#1|) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
-((((-1197)) -2758 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) 
+((((-1197)) -2760 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) 
 ((((-876)) . T)) 
 (((|#2|) . T)) 
 ((((-876)) . T)) 
@@ -4073,15 +4073,15 @@
 ((((-1195 |#1| |#2| |#3|)) . T)) 
 ((((-1195 |#1| |#2| |#3|)) . T) (((-1188 |#1| |#2| |#3|)) . T)) 
 ((((-876)) . T)) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
 ((((-576) |#1|) . T)) 
 ((((-1195 |#1| |#2| |#3|)) |has| |#1| (-374))) 
 (((|#1| |#2| |#3| |#4|) . T)) 
 (((|#1|) . T)) 
 (((|#2|) . T)) 
 (|has| |#2| (-374)) 
-(((|#3|) . T) ((|#2|) . T) ((|#4|) -2758 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-1070))) (($) |has| |#4| (-1070)) (((-576)) -12 (|has| |#4| (-651 (-576))) (|has| |#4| (-1070)))) 
-(((|#2|) . T) ((|#3|) -2758 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070))) (($) |has| |#3| (-1070)) (((-576)) -12 (|has| |#3| (-651 (-576))) (|has| |#3| (-1070)))) 
+(((|#3|) . T) ((|#2|) . T) ((|#4|) -2760 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-1070))) (($) |has| |#4| (-1070)) (((-576)) -12 (|has| |#4| (-651 (-576))) (|has| |#4| (-1070)))) 
+(((|#2|) . T) ((|#3|) -2760 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070))) (($) |has| |#3| (-1070)) (((-576)) -12 (|has| |#3| (-651 (-576))) (|has| |#3| (-1070)))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-117 |#1|)) . T)) 
@@ -4095,7 +4095,7 @@
 ((((-189)) . T) (((-876)) . T)) 
 ((((-876)) . T)) 
 (((|#1|) . T)) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
 ((((-130)) . T) (((-876)) . T)) 
 ((((-576) |#1|) . T) (((-1255 (-576)) $) . T)) 
 ((((-130)) . T)) 
@@ -4104,14 +4104,14 @@
 (((|#1|) . T)) 
 (((|#2| $) -12 (|has| |#1| (-374)) (|has| |#2| (-296 |#2| |#2|))) (($ $) . T) (((-576) |#1|) . T)) 
 ((($ $) . T) (((-419 (-576)) |#1|) . T)) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-928))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-928))) 
 ((($ (-1197)) |has| |#1| (-1070))) 
-(-2758 (|has| |#1| (-861)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-861)) (|has| |#1| (-1121))) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
 ((((-876)) . T)) 
 (((|#1| (-543 |#2|)) . T)) 
-((((-2 (|:| -4300 (-1197)) (|:| -4438 (-52)))) . T)) 
+((((-2 (|:| -4301 (-1197)) (|:| -4440 (-52)))) . T)) 
 ((((-576) (-130)) . T)) 
 (((|#1| (-576)) . T)) 
 (((|#1| (-419 (-576))) . T)) 
@@ -4126,8 +4126,8 @@
 ((((-1202)) . T)) 
 ((((-876)) . T) (((-1202)) . T)) 
 ((((-876)) . T) (((-1202)) . T)) 
-(-2758 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
-(-2758 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
+(-2760 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) 
+(-2760 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) 
 ((($) . T)) 
 (((|#2| (-543 (-878 |#1|))) . T)) 
 ((((-1202)) . T)) 
@@ -4142,7 +4142,7 @@
 ((((-1202)) . T)) 
 ((((-876)) . T) (((-1202)) . T)) 
 ((((-1202)) . T)) 
-((((-876)) -2758 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
+((((-876)) -2760 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) 
 (((|#1| |#2|) . T)) 
 (((|#1|) . T)) 
 ((((-1179) |#1|) . T)) 
@@ -4150,7 +4150,7 @@
 ((((-419 |#2|)) . T)) 
 (|has| |#1| (-568)) 
 (|has| |#1| (-568)) 
-((((-2 (|:| -4300 |#1|) (|:| -4438 |#2|))) . T)) 
+((((-2 (|:| -4301 |#1|) (|:| -4440 |#2|))) . T)) 
 (((|#2| (-783)) . T)) 
 ((($) . T) ((|#2|) . T)) 
 ((($) . T) (((-419 (-576))) . T)) 
@@ -4160,14 +4160,14 @@
 ((((-576)) . T) (($) . T)) 
 (((|#2| $) |has| |#2| (-296 |#2| |#2|))) 
 (((|#1| (-656 |#1|)) |has| |#1| (-860))) 
-(-2758 (|has| |#1| (-238)) (|has| |#1| (-360))) 
-(-2758 (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-2760 (|has| |#1| (-238)) (|has| |#1| (-360))) 
+(-2760 (|has| |#1| (-374)) (|has| |#1| (-360))) 
 ((((-1284 |#1|)) . T) (((-576)) . T) ((|#2|) . T) (((-419 (-576))) |has| |#2| (-1059 (-419 (-576))))) 
 (|has| |#1| (-1121)) 
 (((|#1|) . T)) 
 ((((-419 (-576))) . T) (($) . T)) 
-((((-1284 |#1|)) . T) (((-576)) . T) (($) -2758 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) (((-1103)) . T) ((|#2|) . T) (((-419 (-576))) -2758 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1059 (-419 (-576)))))) 
-((((-1020 |#1|)) . T) ((|#1|) . T) (((-576)) -2758 (|has| (-1020 |#1|) (-1059 (-576))) (|has| |#1| (-1059 (-576)))) (((-419 (-576))) -2758 (|has| (-1020 |#1|) (-1059 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576)))))) 
+((((-1284 |#1|)) . T) (((-576)) . T) (($) -2760 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) (((-1103)) . T) ((|#2|) . T) (((-419 (-576))) -2760 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1059 (-419 (-576)))))) 
+((((-1020 |#1|)) . T) ((|#1|) . T) (((-576)) -2760 (|has| (-1020 |#1|) (-1059 (-576))) (|has| |#1| (-1059 (-576)))) (((-419 (-576))) -2760 (|has| (-1020 |#1|) (-1059 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576)))))) 
 ((((-929 |#1|)) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) 
@@ -4184,11 +4184,11 @@
 (((|#1| |#2| |#3| |#4|) . T)) 
 (((#0=(-1161 |#1| |#2|) #0#) |has| (-1161 |#1| |#2|) (-319 (-1161 |#1| |#2|)))) 
 (((|#1|) . T)) 
-(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) ((#0=(-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) #0#) |has| (-2 (|:| -4300 |#1|) (|:| -4438 |#2|)) (-319 (-2 (|:| -4300 |#1|) (|:| -4438 |#2|))))) 
-(-2758 (|has| |#1| (-238)) (|has| |#1| (-237))) 
+(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) ((#0=(-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) #0#) |has| (-2 (|:| -4301 |#1|) (|:| -4440 |#2|)) (-319 (-2 (|:| -4301 |#1|) (|:| -4440 |#2|))))) 
+(-2760 (|has| |#1| (-238)) (|has| |#1| (-237))) 
 (((#0=(-117 |#1|)) |has| #0# (-319 #0#))) 
 ((($ $) . T)) 
-(-2758 (|has| |#1| (-861)) (|has| |#1| (-1121))) 
+(-2760 (|has| |#1| (-861)) (|has| |#1| (-1121))) 
 ((($ $) . T) ((#0=(-878 |#1|) $) . T) ((#0# |#2|) . T)) 
 ((($ $) . T) ((|#2| $) |has| |#1| (-238)) ((|#2| |#1|) |has| |#1| (-238)) ((|#3| |#1|) . T) ((|#3| $) . T)) 
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-625) 202118) ((-674 . -729) 202102) ((-1087 . -502) 202083) ((-1087 . -625) 202049) ((-977 . -298) 202026) ((-60 . -34) T) ((-1083 . -807) T) ((-1083 . -804) T) ((-1057 . -502) 202007) ((-1040 . -502) 201988) ((-828 . -738) T) ((-743 . -47) 201953) ((-635 . -38) 201940) ((-366 . -300) T) ((-363 . -300) T) ((-355 . -300) T) ((-273 . -300) 201871) ((-253 . -300) 201802) ((-1057 . -625) 201768) ((-1045 . -102) T) ((-1040 . -625) 201734) ((-638 . -502) 201715) ((-425 . -738) T) ((-118 . -38) 201660) ((-495 . -502) 201641) ((-638 . -625) 201607) ((-425 . -485) T) ((-220 . -502) 201588) ((-495 . -625) 201554) ((-365 . -102) T) ((-220 . -625) 201520) ((-1232 . -1079) T) ((-354 . -658) 201450) ((-723 . -1079) T) ((-1195 . -47) 201427) ((-1194 . -47) 201397) ((-1188 . -47) 201374) ((-129 . -298) 201349) ((-1056 . -152) 201295) ((-929 . -300) T) ((-1147 . -47) 201267) ((-706 . -319) NIL) ((-527 . -625) 201249) ((-522 . -625) 201231) ((-520 . -625) 201213) ((-497 . -1238) T) ((-337 . -1121) 201163) ((-326 . -911) 201127) ((-323 . -911) NIL) ((-724 . -464) 201058) ((-48 . -102) T) ((-1272 . -296) 201016) ((-1251 . -296) 200916) ((-656 . -678) 200900) ((-656 . -663) 200884) ((-350 . -21) T) ((-350 . -25) T) ((-40 . -360) NIL) ((-176 . -21) T) ((-176 . -25) T) ((-656 . -384) 200868) ((-617 . -502) 200850) ((-614 . -296) 200802) ((-617 . -625) 200769) ((-400 . -102) T) ((-1141 . -144) T) ((-127 . -625) 200701) ((-888 . -1121) T) ((-670 . -423) 200685) ((-743 . -1238) T) ((-726 . -625) 200667) ((-255 . -625) 200634) ((-189 . -625) 200616) ((-163 . -625) 200598) ((-158 . -625) 200580) ((-1303 . -738) T) ((-1123 . -34) T) ((-885 . -807) NIL) ((-885 . -804) NIL) ((-872 . -861) T) ((-743 . -901) NIL) ((-1312 . -132) T) ((-392 . -132) T) ((-907 . -628) 200548) ((-923 . -102) T) ((-743 . -1059) 200424) ((-1195 . -1238) T) ((-1194 . -1238) T) ((-543 . -132) T) ((-1188 . -1238) T) ((-1108 . -423) 200408) ((-1021 . -501) 200392) ((-118 . -412) 200369) ((-1147 . -1238) T) ((-794 . -423) 200353) ((-792 . -423) 200337) ((-962 . -34) T) ((-706 . -1173) NIL) ((-258 . -660) 200157) ((-257 . -660) 199964) ((-829 . -939) 199943) ((-466 . -423) 199927) ((-614 . -19) 199911) ((-1167 . -1231) 199880) ((-1188 . -901) NIL) ((-1188 . -899) 199832) ((-614 . -616) 199809) ((-108 . -864) T) ((-1224 . -625) 199741) ((-1196 . -625) 199723) ((-62 . -407) T) ((-1194 . -1059) 199658) ((-1188 . -1059) 199624) ((-706 . -38) 199574) ((-40 . -658) 199504) ((-486 . -296) 199462) ((-1244 . -625) 199444) ((-743 . -388) 199428) ((-850 . -625) 199410) ((-670 . -1079) T) ((-635 . -919) 199333) ((-1272 . -1023) 199299) ((-448 . -1238) T) ((-1251 . -1023) 199265) ((-256 . -1238) T) ((-1109 . -628) 199249) ((-1084 . -1214) 199224) ((-1097 . -628) 199201) ((-886 . -626) 199008) ((-886 . -625) 198990) ((-118 . -919) NIL) ((-713 . -234) 198977) ((-1210 . -501) 198914) ((-430 . -1043) 198892) ((-48 . -319) 198879) ((-1084 . -107) 198825) ((-491 . -501) 198762) ((-537 . -1238) T) ((-532 . -1238) T) ((-1188 . -349) 198714) ((-1162 . -501) 198685) ((-1188 . -388) 198637) ((-1108 . -1079) T) ((-449 . -102) T) ((-185 . -1121) T) ((-258 . -34) T) ((-257 . -34) T) ((-1179 . -864) T) ((-862 . -628) 198621) ((-794 . -1079) T) ((-792 . -1079) T) ((-743 . -917) 198598) ((-466 . -1079) T) ((-59 . -501) 198582) ((-1055 . -1077) 198556) ((-531 . -501) 198540) ((-528 . -501) 198524) ((-509 . -501) 198508) ((-508 . -501) 198492) ((-250 . -526) 198425) ((-1055 . -111) 198392) ((-1195 . -917) 198305) ((-1194 . -917) 198211) ((-682 . -1133) T) ((-1188 . -917) 198044) ((-657 . -93) T) ((-1147 . -917) 198028) ((-365 . -1173) T) ((-332 . -1077) 198010) ((-31 . -502) 197991) ((-258 . -806) 197970) ((-258 . -805) 197949) ((-257 . -806) 197928) ((-257 . -805) 197907) ((-31 . -625) 197873) ((-50 . -1079) T) ((-258 . -738) 197851) ((-257 . -738) 197829) ((-1232 . -1121) T) ((-682 . -23) T) ((-593 . -1079) T) ((-530 . -1079) T) ((-390 . -1077) 197794) ((-332 . -111) 197769) ((-73 . -394) T) ((-73 . -407) T) 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195042) ((-337 . -526) 194975) ((-508 . -296) 194927) ((-390 . -248) T) ((-390 . -238) T) ((-848 . -1070) T) ((-839 . -1070) T) ((-724 . -968) 194896) ((-713 . -861) T) ((-624 . -864) T) ((-486 . -625) 194878) ((-1274 . -1072) 194783) ((-592 . -658) 194755) ((-576 . -658) 194727) ((-507 . -658) 194677) ((-839 . -238) 194656) ((-135 . -861) T) ((-1274 . -652) 194548) ((-670 . -1121) T) ((-1210 . -616) 194527) ((-562 . -1214) 194506) ((-347 . -1121) T) ((-329 . -374) 194485) ((-419 . -148) 194464) ((-419 . -146) 194443) ((-983 . -1133) 194342) ((-827 . -1133) 194320) ((-245 . -917) 194252) ((-666 . -866) 194236) ((-491 . -616) 194215) ((-110 . -864) T) ((-536 . -1238) T) ((-562 . -107) 194165) ((-1025 . -388) 194147) ((-1025 . -349) 194129) ((-1197 . -625) 194111) ((-97 . -1121) T) ((-983 . -23) 193922) ((-489 . -21) T) ((-489 . -25) T) ((-827 . -23) 193774) ((-1197 . -626) 193696) ((-59 . -19) 193680) ((-1193 . -738) T) ((-1146 . -738) T) ((-1108 . -1121) T) ((-528 . -19) 193664) ((-508 . -19) 193648) ((-59 . -616) 193625) ((-1024 . -237) 193562) ((-920 . -102) 193512) ((-868 . -738) T) ((-794 . -1121) T) ((-528 . -616) 193489) ((-508 . -616) 193466) ((-792 . -1121) T) ((-792 . -1086) 193433) ((-473 . -1121) T) ((-466 . -1121) T) ((-598 . -729) 193408) ((-661 . -1121) T) ((-1280 . -47) 193385) ((-1274 . -102) T) ((-1273 . -47) 193355) ((-1252 . -47) 193332) ((-1232 . -174) 193283) ((-1194 . -317) 193262) ((-1188 . -317) 193241) ((-1117 . -628) 193222) ((-1111 . -628) 193203) ((-1101 . -568) 193154) ((-1101 . -1242) 193105) ((-1025 . -917) NIL) ((-1094 . -628) 193086) ((-682 . -132) T) ((-639 . -1133) T) ((-1087 . -628) 193067) ((-1057 . -628) 193048) ((-1040 . -628) 193029) ((-726 . -1077) 192999) ((-711 . -658) 192949) ((-284 . -1121) T) ((-85 . -453) T) ((-85 . -407) T) ((-724 . -911) 192852) ((-723 . -174) T) ((-50 . -1121) T) ((-607 . -47) 192829) ((-227 . -660) 192794) ((-593 . -1121) T) ((-530 . -1121) T) ((-499 . -832) T) ((-499 . -939) T) ((-370 . -1242) T) 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-626) NIL) ((-1210 . -625) 191896) ((-1163 . -1144) 191841) ((-493 . -928) 191820) ((-1108 . -729) 191669) ((-1083 . -660) 191641) ((-971 . -660) 191530) ((-830 . -864) T) ((-794 . -729) 191359) ((-609 . -502) 191340) ((-597 . -502) 191321) ((-609 . -625) 191287) ((-597 . -625) 191253) ((-548 . -625) 191235) ((-591 . -1238) T) ((-548 . -626) 191216) ((-792 . -729) 191065) ((-1098 . -102) T) ((-635 . -658) 191037) ((-392 . -25) T) ((-392 . -21) T) ((-493 . -660) 190926) ((-473 . -729) 190897) ((-466 . -729) 190746) ((-1008 . -102) T) ((-1067 . -1231) 190675) ((-920 . -319) 190613) ((-890 . -93) T) ((-749 . -102) T) ((-118 . -658) 190543) ((-617 . -628) 190525) ((-726 . -628) 190479) ((-693 . -93) T) ((-543 . -25) T) ((-688 . -93) T) ((-676 . -625) 190461) ((-657 . -502) 190442) ((-657 . -625) 190395) ((-142 . -102) T) ((-44 . -132) T) ((-608 . -1238) T) ((-607 . -1238) T) ((-354 . -1079) T) ((-299 . -1133) T) ((-490 . -93) T) ((-419 . -237) 190346) ((-366 . -625) 190328) ((-363 . -625) 190310) ((-355 . -625) 190292) ((-273 . -626) 190040) ((-273 . -625) 190022) ((-253 . -625) 190004) ((-253 . -626) 189865) ((-139 . -93) T) ((-138 . -93) T) ((-134 . -93) T) ((-1162 . -625) 189847) ((-1141 . -652) 189834) ((-1141 . -1072) 189821) ((-831 . -738) T) ((-831 . -871) T) ((-614 . -298) 189798) ((-593 . -729) 189763) ((-491 . -626) NIL) ((-491 . -625) 189745) ((-530 . -729) 189690) ((-326 . -102) T) ((-323 . -102) T) ((-299 . -23) T) ((-153 . -132) T) ((-929 . -625) 189672) ((-929 . -626) 189654) ((-398 . -738) T) ((-886 . -1077) 189606) ((-886 . -111) 189544) ((-726 . -1070) T) ((-724 . -1264) 189528) ((-706 . -360) NIL) ((-115 . -102) T) ((-140 . -102) T) ((-137 . -102) T) ((-531 . -625) 189460) ((-390 . -807) T) ((-169 . -1238) T) ((-225 . -1121) T) ((-390 . -804) T) ((-59 . -626) 189421) ((-227 . -806) T) ((-227 . -803) T) ((-59 . -625) 189333) ((-227 . -738) T) ((-528 . -626) 189294) ((-528 . -625) 189206) ((-509 . -625) 189138) ((-508 . -626) 189099) ((-508 . -625) 189011) ((-1101 . -374) 188962) ((-40 . -423) 188939) ((-77 . -1238) T) ((-885 . -928) NIL) ((-370 . -339) 188923) ((-370 . -374) T) ((-364 . -339) 188907) ((-364 . -374) T) ((-356 . -339) 188891) ((-356 . -374) T) ((-326 . -294) 188870) ((-108 . -374) T) ((-70 . -1238) T) ((-1252 . -349) 188822) ((-885 . -660) 188767) ((-1252 . -388) 188719) ((-983 . -132) 188574) ((-827 . -132) 188445) ((-45 . -864) NIL) ((-977 . -663) 188429) ((-1108 . -174) 188340) ((-977 . -384) 188324) ((-1083 . -806) T) ((-1083 . -803) T) ((-886 . -628) 188222) ((-794 . -174) 188113) ((-792 . -174) 188024) ((-828 . -47) 187986) ((-1083 . -738) T) ((-337 . -501) 187970) ((-971 . -738) T) ((-1301 . -319) 187908) ((-1280 . -917) 187821) ((-466 . -174) 187732) ((-250 . -296) 187684) ((-1273 . -917) 187590) ((-1272 . -1077) 187425) ((-1252 . -917) 187258) ((-493 . -738) T) ((-1251 . -1077) 187066) ((-1232 . -300) 187045) ((-1207 . -1238) T) ((-1204 . -379) T) ((-1203 . -379) T) ((-1167 . -152) 187029) ((-1141 . -102) T) ((-1139 . -1121) T) ((-1101 . -23) T) ((-1101 . -1133) T) ((-1096 . -102) T) ((-1078 . -625) 186996) ((-1024 . -421) 186968) ((-946 . -974) T) ((-749 . -319) 186906) ((-75 . -1238) T) ((-676 . -393) 186878) ((-171 . -928) 186831) ((-30 . -974) T) ((-112 . -856) T) ((-1 . -625) 186813) ((-1020 . -911) 186734) ((-129 . -663) 186716) ((-50 . -632) 186700) ((-706 . -658) 186635) ((-607 . -917) 186548) ((-450 . -102) T) ((-129 . -384) 186530) ((-142 . -319) NIL) ((-886 . -1070) T) ((-845 . -861) 186509) ((-81 . -1238) T) ((-723 . -300) T) ((-40 . -1079) T) ((-593 . -174) T) ((-530 . -174) T) ((-523 . -625) 186491) ((-171 . -660) 186365) ((-519 . -625) 186347) ((-362 . -148) 186329) ((-362 . -146) T) ((-370 . -1133) T) ((-364 . -1133) T) ((-356 . -1133) T) ((-1025 . -317) T) ((-933 . -317) T) ((-886 . -248) T) ((-108 . -1133) T) ((-886 . -238) 186308) ((-1272 . -111) 186129) ((-1251 . -111) 185918) ((-250 . -1276) 185902) ((-576 . -860) T) ((-370 . -23) T) ((-365 . -360) T) ((-326 . -319) 185889) ((-323 . -319) 185830) ((-364 . -23) T) ((-329 . -132) T) ((-356 . -23) T) ((-1025 . -1043) T) ((-31 . -628) 185811) ((-108 . -23) T) ((-666 . -1072) 185795) ((-250 . -616) 185772) ((-343 . -1121) T) ((-666 . -652) 185742) ((-1274 . -38) 185634) ((-1261 . -928) 185613) ((-112 . -1121) T) ((-828 . -1238) T) ((-425 . -1238) T) ((-1056 . -102) T) ((-1261 . -660) 185502) ((-885 . -806) NIL) ((-869 . -660) 185476) ((-885 . -803) NIL) ((-828 . -901) NIL) ((-885 . -738) T) ((-1108 . -526) 185349) ((-794 . -526) 185296) ((-792 . -526) 185248) ((-583 . -660) 185235) ((-828 . -1059) 185063) ((-466 . -526) 185006) ((-400 . -401) T) ((-1272 . -628) 184819) ((-1251 . -628) 184567) ((-60 . -1238) T) ((-633 . -861) 184546) ((-512 . -673) T) ((-1167 . -997) 184515) ((-1045 . -658) 184452) ((-1024 . -464) T) ((-711 . -860) T) ((-522 . -804) T) ((-486 . -1077) 184287) ((-512 . -113) T) ((-354 . -1121) T) ((-323 . -1173) NIL) ((-299 . -132) T) ((-406 . -1121) T) ((-884 . -1079) T) ((-706 . -381) 184254) ((-365 . -658) 184184) ((-225 . -632) 184161) ((-337 . -296) 184113) ((-486 . -111) 183934) ((-1272 . -1070) T) ((-1251 . -1070) T) ((-828 . -388) 183918) ((-836 . -1238) T) ((-171 . -738) T) ((-1303 . -1238) T) ((-666 . -102) T) ((-1272 . -248) 183897) ((-1272 . -238) 183849) ((-1251 . -238) 183754) ((-1251 . -248) 183733) ((-1024 . -414) NIL) ((-682 . -651) 183681) ((-326 . -38) 183591) ((-323 . -38) 183520) ((-69 . -625) 183502) ((-329 . -505) 183468) ((-48 . -658) 183418) ((-1210 . -298) 183397) ((-1246 . -861) T) ((-1134 . -1133) 183375) ((-83 . -1238) T) ((-61 . -625) 183357) ((-878 . -864) T) ((-491 . -298) 183336) ((-1303 . -1059) 183313) ((-1185 . -1121) T) ((-1134 . -23) 183165) ((-828 . -917) 183101) ((-1261 . -738) T) ((-1123 . -1238) T) ((-486 . -628) 182927) ((-362 . -237) T) ((-1108 . -300) 182858) ((-985 . -1121) T) ((-908 . -102) T) ((-794 . -300) 182769) ((-337 . -19) 182753) ((-59 . -298) 182730) ((-792 . -300) 182661) ((-869 . -738) T) ((-118 . -860) NIL) ((-528 . -298) 182638) ((-337 . -616) 182615) ((-508 . -298) 182592) ((-466 . -300) 182523) ((-1056 . -319) 182374) ((-890 . -502) 182355) ((-890 . -625) 182321) ((-693 . -502) 182302) ((-583 . -738) T) ((-688 . -502) 182283) ((-693 . -625) 182233) ((-688 . -625) 182199) ((-674 . -625) 182181) ((-490 . -502) 182162) ((-490 . -625) 182128) ((-250 . -626) 182089) ((-250 . -502) 182066) ((-139 . -502) 182047) ((-138 . -502) 182028) ((-134 . -502) 182009) ((-250 . -625) 181901) ((-215 . -102) T) ((-139 . -625) 181867) ((-138 . -625) 181833) ((-134 . -625) 181799) ((-1168 . -34) T) ((-962 . -1238) T) ((-354 . -729) 181744) ((-682 . -25) T) ((-682 . -21) T) ((-1197 . -628) 181725) ((-341 . -1238) T) ((-486 . -1070) T) ((-647 . -429) 181690) ((-619 . -429) 181655) ((-1141 . -1173) T) ((-1273 . -317) 181634) ((-724 . -1072) 181457) ((-593 . -300) T) ((-530 . -300) T) ((-1252 . -317) 181436) ((-486 . -238) 181388) ((-486 . -248) 181367) ((-451 . -1238) T) ((-724 . -652) 181196) ((-1252 . -1043) NIL) ((-1101 . -132) T) ((-886 . -807) 181175) ((-145 . -102) T) ((-40 . -1121) T) ((-886 . -804) 181154) ((-656 . -1031) 181138) ((-592 . -1079) T) ((-576 . -1079) T) ((-507 . -1079) T) ((-419 . -464) T) ((-370 . -132) T) ((-326 . -412) 181122) ((-323 . -412) 181083) ((-364 . -132) T) ((-356 . -132) T) ((-1202 . -1121) T) ((-1141 . -38) 181070) ((-1115 . -625) 181037) ((-108 . -132) T) ((-973 . -1121) T) ((-940 . -1121) T) ((-783 . -1121) T) ((-684 . -1121) T) ((-713 . -148) T) ((-117 . -148) T) ((-1310 . -21) T) ((-1310 . -25) T) ((-1308 . -21) T) ((-1308 . -25) T) ((-676 . -1077) 181021) ((-543 . -861) T) ((-512 . -861) T) ((-376 . -1238) T) ((-366 . -1077) 180973) ((-363 . -1077) 180925) ((-355 . -1077) 180877) ((-258 . -1238) T) ((-257 . -1238) T) ((-273 . -1077) 180720) ((-253 . -1077) 180563) ((-676 . -111) 180542) ((-829 . -1242) 180521) ((-559 . -856) T) ((-326 . -919) 180487) ((-366 . -111) 180425) ((-363 . -111) 180363) ((-355 . -111) 180301) ((-273 . -111) 180130) ((-253 . -111) 179959) ((-323 . -919) NIL) ((-635 . -423) 179943) ((-44 . -21) T) ((-44 . -25) T) ((-924 . -864) 179894) ((-827 . -651) 179800) ((-829 . -568) 179779) ((-499 . -864) T) ((-258 . -1059) 179606) ((-257 . -1059) 179433) ((-127 . -120) 179417) ((-219 . -864) T) ((-929 . -1077) 179382) ((-724 . -102) T) ((-711 . -1079) T) ((-609 . -628) 179363) ((-597 . -628) 179344) ((-548 . -630) 179247) ((-354 . -174) T) ((-153 . -21) T) ((-153 . -25) T) ((-88 . -625) 179229) ((-929 . -111) 179185) ((-40 . -729) 179130) ((-884 . -1121) T) ((-676 . -628) 179107) ((-657 . -628) 179088) ((-366 . -628) 179025) ((-363 . -628) 178962) ((-355 . -628) 178899) ((-559 . -1121) T) ((-337 . -626) 178860) ((-337 . -625) 178772) ((-273 . -628) 178525) ((-253 . -628) 178310) ((-188 . -1238) T) ((-1251 . -804) 178263) ((-1251 . -807) 178216) ((-258 . -388) 178185) ((-257 . -388) 178154) ((-561 . -864) T) ((-666 . -38) 178124) ((-620 . -34) T) ((-494 . -1133) 178102) ((-487 . -34) T) ((-1134 . -132) 177973) ((-983 . -25) 177784) ((-929 . -628) 177734) ((-888 . -625) 177716) ((-983 . -21) 177671) ((-827 . -25) 177504) ((-827 . -21) 177415) ((-1244 . -379) T) ((-635 . -1079) T) ((-1199 . -568) 177394) ((-1193 . -47) 177371) ((-366 . -1070) T) ((-363 . -1070) T) ((-494 . -23) 177223) ((-355 . -1070) T) ((-273 . -1070) T) ((-253 . -1070) T) ((-1146 . -47) 177195) ((-118 . -1079) T) ((-1055 . -660) 177169) ((-977 . -34) T) ((-366 . -238) 177148) ((-366 . -248) T) ((-363 . -238) 177127) ((-363 . -248) T) ((-355 . -238) 177106) ((-355 . -248) T) ((-273 . -336) 177078) ((-253 . -336) 177035) ((-273 . -238) 177014) ((-1178 . -152) 176998) ((-258 . -917) 176930) ((-257 . -917) 176862) ((-1163 . -911) 176783) ((-1103 . -861) T) ((-1255 . -1238) 176761) ((-426 . -1133) T) ((-1075 . -23) T) ((-1045 . -860) T) ((-929 . -1070) T) ((-332 . -660) 176743) ((-713 . -237) T) ((-682 . -234) 176688) ((-1232 . -1023) 176654) ((-1194 . -939) 176633) ((-1188 . -939) 176612) ((-1188 . -832) NIL) ((-1020 . -1072) 176508) ((-986 . -1238) T) ((-929 . -248) T) ((-829 . -374) 176487) ((-396 . -23) T) ((-128 . -1121) 176465) ((-122 . -1121) 176443) ((-929 . -238) T) ((-129 . -34) T) ((-390 . -660) 176408) ((-1020 . -652) 176356) ((-884 . -729) 176343) ((-1317 . -658) 176315) ((-1067 . -152) 176280) ((-1014 . -1238) T) ((-876 . -1238) T) ((-40 . -174) T) ((-706 . -423) 176262) ((-724 . -319) 176249) ((-848 . -660) 176209) ((-839 . -660) 176183) ((-329 . -25) T) ((-329 . -21) T) ((-670 . -296) 176162) ((-592 . -1121) T) ((-576 . -1121) T) ((-507 . -1121) T) ((-1193 . -1238) T) ((-250 . -298) 176139) ((-1146 . -1238) T) ((-868 . -1238) T) ((-323 . -272) 176100) ((-323 . -232) 176061) ((-1243 . -864) T) ((-1193 . -901) NIL) ((-55 . -1121) T) ((-1146 . -901) 175920) ((-130 . -861) T) ((-1193 . -1059) 175800) ((-1146 . -1059) 175683) ((-185 . -625) 175665) ((-868 . -1059) 175561) ((-794 . -296) 175488) ((-829 . -1133) T) ((-1055 . -738) T) ((-1067 . -997) 175417) ((-614 . -663) 175401) ((-1024 . -911) 175308) ((-1020 . -102) T) ((-829 . -23) T) ((-724 . -1173) 175286) ((-706 . -1079) T) ((-614 . -384) 175270) ((-362 . -464) T) ((-354 . -300) T) ((-1289 . -1121) T) ((-254 . -1121) T) ((-411 . -102) T) ((-299 . -21) T) ((-299 . -25) T) ((-372 . -738) T) ((-722 . -1121) T) ((-711 . -1121) T) ((-372 . -485) T) ((-1232 . -625) 175252) ((-1193 . -388) 175236) ((-1146 . -388) 175220) ((-1045 . -423) 175182) ((-142 . -231) 175164) ((-390 . -806) T) ((-390 . -803) T) ((-884 . -174) T) ((-390 . -738) T) ((-723 . -625) 175146) ((-724 . -38) 174975) ((-1288 . -1286) 174959) ((-362 . -414) T) ((-1288 . -1121) 174909) ((-1211 . -1121) T) ((-592 . -729) 174896) ((-576 . -729) 174883) ((-507 . -729) 174848) ((-1274 . -658) 174738) ((-326 . -641) 174717) ((-848 . -738) T) ((-839 . -738) T) ((-1136 . -1238) T) ((-656 . -1238) T) ((-1101 . -651) 174665) ((-1193 . -917) 174608) ((-1146 . -917) 174592) ((-827 . -234) 174483) ((-674 . -1077) 174467) ((-108 . -651) 174449) ((-494 . -132) 174320) ((-1199 . -1133) T) ((-831 . -1238) T) ((-971 . -47) 174289) ((-635 . -1121) T) ((-674 . -111) 174268) ((-503 . -625) 174234) ((-337 . -298) 174211) ((-398 . -1238) T) ((-334 . -1238) T) ((-493 . -47) 174168) ((-1199 . -23) T) ((-118 . -1121) T) ((-103 . -102) 174118) ((-1300 . -1133) T) ((-560 . -861) T) ((-227 . -1238) T) ((-1075 . -132) T) ((-1045 . -1079) T) ((-1300 . -23) T) ((-831 . -1059) 174102) ((-1218 . -625) 174084) ((-1024 . -736) 174056) ((-1141 . -840) T) ((-711 . -729) 174021) ((-598 . -625) 174003) ((-398 . -1059) 173987) ((-365 . -1079) T) ((-396 . -132) T) ((-334 . -1059) 173971) ((-1126 . -1121) T) ((-1101 . -21) T) ((-1101 . -25) T) ((-227 . -901) 173953) ((-1025 . -939) T) ((-91 . -34) T) ((-1025 . -832) T) ((-933 . -939) T) ((-1020 . -319) 173918) ((-890 . -628) 173899) ((-499 . -1242) T) ((-726 . -660) 173859) ((-693 . -628) 173840) ((-688 . -628) 173821) ((-219 . -1242) T) ((-419 . -911) 173742) ((-227 . -1059) 173702) ((-40 . -300) T) ((-499 . -568) T) ((-490 . -628) 173683) ((-370 . -25) T) ((-326 . -658) 173338) ((-323 . -658) 173252) ((-370 . -21) T) ((-364 . -25) T) ((-364 . -21) T) ((-219 . -568) T) ((-356 . -25) T) ((-356 . -21) T) ((-329 . -234) 173198) ((-250 . -628) 173175) ((-139 . -628) 173156) ((-138 . -628) 173137) ((-134 . -628) 173118) ((-108 . -25) T) ((-108 . -21) T) ((-48 . -1079) T) ((-592 . -174) T) ((-576 . -174) T) ((-507 . -174) T) ((-1083 . -1238) T) ((-971 . -1238) T) ((-725 . -1238) T) ((-670 . -625) 173100) ((-493 . -1238) T) ((-749 . -748) 173084) ((-347 . -625) 173066) ((-68 . -394) T) ((-68 . -407) T) ((-1123 . -107) 173050) ((-1083 . -901) 173032) ((-971 . -901) 172957) ((-665 . -1133) T) ((-635 . -729) 172944) ((-493 . -901) NIL) ((-1167 . -102) T) ((-1115 . -630) 172928) ((-1083 . -1059) 172910) ((-97 . -625) 172892) ((-489 . -148) T) ((-971 . -1059) 172772) ((-118 . -729) 172717) ((-724 . -919) 172624) ((-665 . -23) T) ((-493 . -1059) 172500) ((-1108 . -626) NIL) ((-1108 . -625) 172482) ((-794 . -626) NIL) ((-794 . -625) 172443) ((-792 . -626) 172077) ((-792 . -625) 171991) ((-1134 . -651) 171897) ((-811 . -864) 171876) ((-473 . -625) 171858) ((-466 . -625) 171840) ((-466 . -626) 171701) ((-1056 . -231) 171647) ((-886 . -928) 171626) ((-127 . -34) T) ((-829 . -132) T) ((-661 . -625) 171608) ((-590 . -102) T) ((-366 . -1307) 171592) ((-363 . -1307) 171576) ((-355 . -1307) 171560) ((-122 . -526) 171493) ((-128 . -526) 171426) ((-523 . -804) T) ((-523 . -807) T) ((-522 . -806) T) ((-103 . -319) 171364) ((-224 . -102) 171314) ((-711 . -174) T) ((-706 . -1121) T) ((-886 . -660) 171230) ((-65 . -395) T) ((-284 . -625) 171212) ((-65 . -407) T) ((-971 . -388) 171196) ((-884 . -300) T) ((-50 . -625) 171178) ((-1020 . -38) 171126) ((-1141 . -658) 171098) ((-593 . -625) 171080) ((-493 . -388) 171064) ((-593 . -626) 171046) ((-530 . -625) 171028) ((-929 . -1307) 171015) ((-885 . -1238) T) ((-713 . -464) T) ((-507 . -526) 170981) ((-1299 . -1238) T) ((-1298 . -1238) T) ((-499 . -374) T) ((-366 . -379) 170960) ((-363 . -379) 170939) ((-355 . -379) 170918) ((-726 . -738) T) ((-219 . -374) T) ((-117 . -464) T) ((-1311 . -1302) 170902) ((-885 . -899) 170879) ((-885 . -901) NIL) ((-983 . -861) 170778) ((-827 . -861) 170729) ((-1245 . -102) T) ((-666 . -668) 170713) ((-1224 . -34) T) ((-173 . -625) 170695) ((-1134 . -25) 170528) ((-1134 . -21) 170439) ((-885 . -1059) 170416) ((-971 . -917) 170397) ((-1261 . -47) 170374) ((-929 . -379) T) ((-605 . -864) T) ((-59 . -663) 170358) ((-528 . -663) 170342) ((-493 . -917) 170319) ((-71 . -453) T) ((-71 . -407) T) ((-508 . -663) 170303) ((-59 . -384) 170287) ((-635 . -174) T) ((-528 . -384) 170271) ((-508 . -384) 170255) ((-558 . -1238) T) ((-839 . -720) 170239) ((-1193 . -317) 170218) ((-1199 . -132) T) ((-1163 . -1072) 170202) ((-118 . -174) T) ((-1163 . -652) 170134) ((-1167 . -319) 170072) ((-171 . -1238) T) ((-1300 . -132) T) ((-1273 . -939) 170051) ((-1252 . -939) 170030) ((-1252 . -832) NIL) ((-880 . -1072) 170000) ((-647 . -756) 169984) ((-619 . -756) 169968) ((-1251 . -928) 169921) ((-1045 . -1121) T) ((-924 . -1133) T) ((-880 . -652) 169891) ((-706 . -729) 169841) ((-915 . -1238) T) ((-885 . -388) 169818) ((-885 . -349) 169795) ((-853 . -1238) T) ((-820 . -1238) T) ((-171 . -899) 169779) ((-171 . -901) 169704) ((-781 . -1238) T) ((-689 . -1238) T) ((-1288 . -526) 169637) ((-1272 . -660) 169534) ((-1101 . -234) 169407) ((-499 . -1133) T) ((-365 . -1121) T) ((-219 . -1133) T) ((-76 . -453) T) ((-76 . -407) T) ((-171 . -1059) 169303) ((-304 . -911) 169260) ((-329 . -861) T) ((-1251 . -660) 169068) ((-886 . -806) 169047) ((-886 . -803) 169026) ((-886 . -738) T) ((-499 . -23) T) ((-370 . -234) 168999) ((-364 . -234) 168972) ((-356 . -234) 168945) ((-176 . -464) T) ((-86 . -453) T) ((-224 . -319) 168883) ((-86 . -407) T) ((-225 . -625) 168865) ((-108 . -234) 168852) ((-219 . -23) T) ((-1312 . -1305) 168831) ((-689 . -1059) 168815) ((-592 . -300) T) ((-576 . -300) T) ((-507 . -300) T) ((-1261 . -1238) T) ((-137 . -482) 168770) ((-869 . -1238) T) ((-666 . -658) 168729) ((-48 . -1121) T) ((-724 . -272) 168713) ((-724 . -232) 168697) ((-885 . -917) NIL) ((-583 . -1238) T) ((-1261 . -901) NIL) ((-904 . -102) T) ((-900 . -102) T) ((-400 . -1121) T) ((-171 . -388) 168681) ((-171 . -349) 168665) ((-1261 . -1059) 168545) ((-869 . -1059) 168441) ((-1163 . -102) T) ((-1020 . -919) 168364) ((-674 . -804) 168343) ((-665 . -132) T) ((-674 . -807) 168322) ((-118 . -526) 168230) ((-583 . -1059) 168212) ((-304 . -1295) 168182) ((-1188 . -864) NIL) ((-880 . -102) T) ((-982 . -568) 168161) ((-1232 . -1077) 168044) ((-1024 . -1072) 167989) ((-494 . -651) 167895) ((-923 . -1121) T) ((-1045 . -729) 167832) ((-723 . -1077) 167797) ((-1024 . -652) 167742) ((-629 . -102) T) ((-614 . -34) T) ((-1168 . -1238) T) ((-1232 . -111) 167611) ((-486 . -660) 167508) ((-365 . -729) 167453) ((-171 . -917) 167412) ((-711 . -300) T) ((-706 . -174) T) ((-723 . -111) 167368) ((-1317 . -1079) T) ((-1261 . -388) 167352) ((-430 . -1242) 167330) ((-1139 . -625) 167312) ((-323 . -860) NIL) ((-430 . -568) T) ((-227 . -317) T) ((-1251 . -803) 167265) ((-1251 . -806) 167218) ((-1272 . -738) T) ((-1251 . -738) T) ((-48 . -729) 167183) ((-227 . -1043) T) ((-1274 . -423) 167149) ((-1261 . -917) 167092) ((-362 . -1295) 167069) ((-1232 . -628) 166951) ((-730 . -738) T) ((-343 . -625) 166933) ((-532 . -864) 166912) ((-1134 . -234) 166803) ((-112 . -625) 166785) ((-112 . -626) 166767) ((-730 . -485) T) ((-723 . -628) 166717) ((-1311 . -1072) 166701) ((-494 . -25) 166534) ((-128 . -501) 166518) ((-122 . -501) 166502) ((-494 . -21) 166413) ((-1311 . -652) 166383) ((-635 . -300) T) ((-598 . -1077) 166358) ((-449 . -1121) T) ((-1083 . -317) T) ((-118 . -300) T) ((-1125 . -102) T) ((-1024 . -102) T) ((-598 . -111) 166326) ((-1232 . -1070) T) ((-1163 . -319) 166264) ((-1083 . -1043) T) ((-1075 . -25) T) ((-66 . -1238) T) ((-907 . -1238) T) ((-1075 . -21) T) ((-723 . -1070) T) ((-396 . -21) T) ((-396 . -25) T) ((-706 . -526) NIL) ((-1045 . -174) T) ((-723 . -248) T) ((-1083 . -557) T) ((-724 . -658) 166174) ((-518 . -102) T) ((-514 . -102) T) ((-365 . -174) T) ((-354 . -625) 166156) ((-419 . -1072) 166108) ((-406 . -625) 166090) ((-1141 . -860) T) ((-486 . -738) T) ((-907 . -1059) 166058) ((-419 . -652) 166010) ((-108 . -861) T) ((-670 . -1077) 165994) ((-499 . -132) T) ((-1274 . -1079) T) ((-219 . -132) T) ((-1178 . -102) 165944) ((-99 . -1121) T) ((-245 . -864) 165895) ((-250 . -678) 165879) ((-250 . -663) 165863) ((-670 . -111) 165842) ((-598 . -628) 165826) ((-326 . -423) 165810) ((-250 . -384) 165794) ((-1180 . -240) 165741) ((-1020 . -272) 165725) ((-1020 . -232) 165709) ((-74 . -1238) T) ((-48 . -174) T) ((-713 . -399) T) ((-713 . -144) T) ((-1311 . -102) T) ((-1219 . -1238) T) ((-1218 . -628) 165691) ((-1109 . -1238) T) ((-1108 . -1077) 165534) ((-1097 . -1238) T) ((-273 . -928) 165513) ((-253 . -928) 165492) ((-794 . -1077) 165315) ((-792 . -1077) 165158) ((-620 . -1238) T) ((-1185 . -625) 165140) ((-1108 . -111) 164969) ((-1067 . -102) T) ((-487 . -1238) T) ((-473 . -1077) 164940) ((-466 . -1077) 164783) ((-676 . -660) 164767) ((-885 . -317) T) ((-794 . -111) 164576) ((-792 . -111) 164405) ((-366 . -660) 164357) ((-363 . -660) 164309) ((-355 . -660) 164261) ((-273 . -660) 164150) ((-253 . -660) 164039) ((-1179 . -861) T) ((-1109 . -1059) 164023) ((-1097 . -1059) 164000) ((-1025 . -864) T) ((-1021 . -34) T) ((-473 . -111) 163961) ((-466 . -111) 163790) ((-992 . -864) T) ((-985 . -625) 163772) ((-982 . -1133) T) ((-977 . -1238) T) ((-127 . -1031) 163756) ((-862 . -1238) T) ((-885 . -1043) NIL) ((-747 . -1133) T) ((-727 . -1133) T) ((-670 . -628) 163674) ((-1288 . -501) 163658) ((-1205 . -1238) T) ((-1204 . -1238) T) ((-1163 . -38) 163618) ((-982 . -23) T) ((-929 . -660) 163583) ((-879 . -1121) T) ((-855 . -102) T) ((-829 . -21) T) ((-647 . -1072) 163567) ((-619 . -1072) 163551) ((-829 . -25) T) ((-747 . -23) T) ((-727 . -23) T) ((-647 . -652) 163535) ((-110 . -673) T) ((-619 . -652) 163519) ((-593 . -1077) 163484) ((-530 . -1077) 163429) ((-229 . -57) 163387) ((-465 . -23) T) ((-419 . -102) T) ((-1203 . -1238) T) ((-270 . -102) T) ((-110 . -113) T) ((-706 . -300) T) ((-880 . -38) 163357) ((-1108 . -628) 163093) ((-593 . -111) 163049) ((-530 . -111) 162978) ((-430 . -1133) T) ((-326 . -1079) 162868) ((-323 . -1079) T) ((-129 . -1238) T) ((-131 . -1238) T) ((-794 . -628) 162616) ((-792 . -628) 162382) ((-670 . -1070) T) ((-1317 . -1121) T) ((-466 . -628) 162167) ((-171 . -317) 162098) ((-430 . -23) T) ((-40 . -625) 162080) ((-40 . -626) 162064) ((-108 . -1013) 162046) ((-117 . -883) 162030) ((-661 . -628) 162014) ((-48 . -526) 161980) ((-1224 . -1031) 161964) ((-1202 . -625) 161931) ((-1210 . -34) T) ((-973 . -625) 161897) ((-940 . -625) 161879) ((-1134 . -861) 161830) ((-783 . -625) 161812) ((-684 . -625) 161794) ((-529 . -1238) T) ((-1261 . -317) 161773) ((-1178 . -319) 161711) ((-1162 . -34) T) ((-491 . -34) T) ((-1113 . -1238) T) ((-489 . -464) T) ((-1055 . 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. -851) T) ((-282 . -851) T) ((-281 . -851) T) ((-280 . -851) T) ((-48 . -300) T) ((-279 . -851) T) ((-278 . -851) T) ((-277 . -851) T) ((-195 . -799) T) ((-624 . -861) T) ((-666 . -423) 160118) ((-682 . -237) 160069) ((-225 . -628) 160031) ((-110 . -861) T) ((-665 . -21) T) ((-665 . -25) T) ((-1311 . -38) 160001) ((-118 . -296) 159952) ((-1288 . -19) 159936) ((-1252 . -864) NIL) ((-1288 . -616) 159913) ((-1301 . -1121) T) ((-362 . -1072) 159858) ((-1098 . -1121) T) ((-1008 . -1121) T) ((-982 . -132) T) ((-829 . -234) 159845) ((-749 . -1121) T) ((-362 . -652) 159790) ((-747 . -132) T) ((-727 . -132) T) ((-523 . -805) T) ((-523 . -806) T) ((-465 . -132) T) ((-419 . -1173) 159768) ((-225 . -1070) T) ((-304 . -102) 159550) ((-142 . -1121) T) ((-711 . -1023) T) ((-1126 . -296) 159506) ((-91 . -1238) T) ((-128 . -625) 159438) ((-122 . -625) 159370) ((-1317 . -174) T) ((-1194 . -374) 159349) ((-1188 . -374) 159328) ((-326 . -1121) T) ((-430 . -132) T) ((-323 . -1121) T) ((-419 . -38) 159280) 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. -1133) T) ((-1194 . -23) T) ((-527 . -1059) 158566) ((-1188 . -1133) T) ((-1147 . -1133) T) ((-354 . -111) 158495) ((-1025 . -1242) T) ((-127 . -1238) T) ((-933 . -1242) T) ((-1188 . -23) T) ((-1163 . -272) 158479) ((-706 . -296) NIL) ((-726 . -1238) T) ((-1163 . -232) 158463) ((-1147 . -23) T) ((-1096 . -1121) T) ((-1025 . -568) T) ((-933 . -568) T) ((-255 . -1238) T) ((-189 . -1238) T) ((-163 . -1238) T) ((-158 . -1238) T) ((-254 . -625) 158445) ((-827 . -237) 158342) ((-811 . -132) T) ((-722 . -625) 158324) ((-326 . -729) 158234) ((-323 . -729) 158163) ((-711 . -625) 158145) ((-711 . -626) 158090) ((-419 . -412) 158074) ((-450 . -1121) T) ((-499 . -25) T) ((-499 . -21) T) ((-1141 . -1121) T) ((-219 . -25) T) ((-219 . -21) T) ((-724 . -423) 158058) ((-726 . -1059) 158027) ((-1288 . -625) 157939) ((-1288 . -626) 157900) ((-1274 . -174) T) ((-1211 . -625) 157882) ((-250 . -34) T) ((-354 . -628) 157812) ((-406 . -628) 157794) ((-945 . -995) T) ((-1224 . -1238) T) ((-674 . -803) 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. -738) T) ((-828 . -23) T) ((-743 . -25) T) ((-743 . -21) T) ((-682 . -911) 148013) ((-1098 . -296) 147992) ((-78 . -408) T) ((-78 . -407) T) ((-545 . -779) 147974) ((-227 . -864) T) ((-706 . -1077) 147924) ((-1313 . -102) T) ((-1280 . -132) T) ((-1273 . -132) T) ((-1252 . -132) T) ((-1195 . -25) T) ((-1163 . -423) 147908) ((-647 . -378) 147840) ((-619 . -378) 147772) ((-1178 . -1170) 147756) ((-103 . -1121) 147734) ((-1195 . -21) T) ((-1194 . -21) T) ((-879 . -625) 147716) ((-1020 . -729) 147664) ((-225 . -660) 147631) ((-706 . -111) 147565) ((-50 . -738) T) ((-1194 . -25) T) ((-362 . -360) T) ((-1188 . -21) T) ((-1101 . -464) 147516) ((-1188 . -25) T) ((-724 . -526) 147463) ((-593 . -738) T) ((-530 . -738) T) ((-1147 . -21) T) ((-1147 . -25) T) ((-608 . -132) T) ((-607 . -132) T) ((-304 . -658) 147198) ((-494 . -237) 147095) ((-370 . -464) T) ((-364 . -464) T) ((-356 . -464) T) ((-486 . -317) 147074) ((-1246 . -102) T) ((-323 . -296) 147009) ((-108 . -464) T) ((-79 . -453) T) ((-79 . -407) T) ((-489 . -102) T) ((-703 . -628) 146993) ((-1317 . -625) 146975) ((-1317 . -626) 146957) ((-1101 . -414) 146936) ((-1056 . -501) 146867) ((-137 . -296) 146844) ((-576 . -807) T) ((-576 . -804) T) ((-1084 . -240) 146790) ((-1083 . -864) T) ((-725 . -864) T) ((-370 . -414) 146741) ((-364 . -414) 146692) ((-356 . -414) 146643) ((-1303 . -1133) T) ((-1312 . -1072) 146627) ((-392 . -1072) 146611) ((-1312 . -652) 146581) ((-830 . -237) T) ((-392 . -652) 146551) ((-706 . -628) 146486) ((-1303 . -23) T) ((-1290 . -102) T) ((-350 . -919) 146467) ((-177 . -625) 146449) ((-1163 . -1079) T) ((-559 . -379) T) ((-682 . -756) 146433) ((-1199 . -146) 146412) ((-1199 . -148) 146391) ((-1167 . -1121) T) ((-1167 . -1092) 146360) ((-69 . -1238) T) ((-1045 . -1077) 146297) ((-362 . -658) 146227) ((-880 . -1079) T) ((-245 . -651) 146133) ((-706 . -1070) T) ((-365 . -1077) 146078) ((-61 . -1238) T) ((-1045 . -111) 145994) ((-920 . -625) 145905) ((-706 . -248) T) ((-706 . -238) NIL) ((-855 . -860) 145884) ((-711 . -807) T) ((-711 . -804) T) ((-1024 . -423) 145861) ((-365 . -111) 145790) ((-390 . -939) T) ((-419 . -860) 145769) ((-724 . -300) 145680) ((-225 . -738) T) ((-1280 . -505) 145646) ((-1273 . -505) 145612) ((-1252 . -505) 145578) ((-590 . -1121) T) ((-326 . -1023) 145557) ((-224 . -1121) 145535) ((-1245 . -856) T) ((-329 . -994) 145497) ((-105 . -102) T) ((-48 . -1077) 145462) ((-885 . -864) NIL) ((-1312 . -102) T) ((-392 . -102) T) ((-1274 . -625) 145444) ((-1154 . -1155) 145428) ((-1025 . -651) 145410) ((-890 . -1238) T) ((-48 . -111) 145366) ((-693 . -1238) T) ((-688 . -1238) T) ((-674 . -1238) T) ((-827 . -911) 145233) ((-490 . -1238) T) ((-250 . -1238) T) ((-543 . -102) T) ((-512 . -102) T) ((-153 . -1295) 145217) ((-139 . -1238) T) ((-138 . -1238) T) ((-134 . -1238) T) ((-1237 . -102) T) ((-1045 . -628) 145154) ((-829 . -237) T) ((-1193 . -1242) 145133) ((-365 . -628) 145063) ((-1146 . -1242) 145042) ((-245 . -25) 144875) ((-245 . -21) 144786) ((-128 . -120) 144770) ((-122 . -120) 144754) ((-44 . -756) 144738) ((-1193 . -568) 144649) ((-1146 . -568) 144580) ((-1245 . -1121) T) ((-558 . -864) T) ((-1056 . -296) 144555) ((-1187 . -1104) T) ((-1015 . -1104) T) ((-828 . -132) T) ((-118 . -807) NIL) ((-118 . -804) NIL) ((-366 . -317) T) ((-363 . -317) T) ((-355 . -317) T) ((-1115 . -1238) 144533) ((-258 . -1133) 144511) ((-257 . -1133) 144489) ((-1045 . -1070) T) ((-1024 . -1079) T) ((-48 . -628) 144422) ((-354 . -660) 144367) ((-1301 . -625) 144329) ((-1301 . -626) 144290) ((-633 . -38) 144274) ((-1195 . -234) 144227) ((-1194 . -234) 144173) ((-1098 . -625) 144155) ((-1045 . -248) T) ((-365 . -1070) T) ((-827 . -1295) 144125) ((-258 . -23) T) ((-257 . -23) T) ((-1008 . -625) 144107) ((-1188 . -234) 143924) ((-1180 . -152) 143871) ((-749 . -626) 143832) ((-749 . -625) 143814) ((-1025 . -25) T) ((-811 . -861) 143793) ((-1020 . -526) 143705) ((-689 . -864) T) ((-365 . -238) T) ((-365 . -248) T) ((-400 . -628) 143686) ((-929 . -317) T) ((-142 . -625) 143668) ((-142 . -626) 143627) ((-329 . -911) 143531) ((-1025 . -21) T) ((-992 . -25) T) ((-933 . -21) T) ((-933 . -25) T) ((-439 . -21) T) ((-439 . -25) T) ((-855 . -423) 143515) ((-48 . -1070) T) ((-1310 . -1302) 143499) ((-1308 . -1302) 143483) ((-1056 . -616) 143458) ((-326 . -626) 143319) ((-326 . -625) 143301) ((-323 . -626) NIL) ((-323 . -625) 143283) ((-48 . -248) T) ((-48 . -238) T) ((-666 . -296) 143244) ((-562 . -240) 143194) ((-583 . -864) T) ((-140 . -625) 143161) ((-137 . -625) 143143) ((-115 . -625) 143125) ((-489 . -38) 143090) ((-1312 . -1309) 143069) ((-1303 . -132) T) ((-1311 . -1079) T) ((-1103 . -102) T) ((-88 . -1238) T) ((-512 . -319) NIL) ((-1021 . -107) 143053) ((-904 . -1121) T) ((-900 . -1121) T) ((-1288 . -663) 143037) ((-1288 . -384) 143021) ((-337 . -1238) T) ((-605 . -861) T) ((-1163 . -1121) T) ((-1163 . -1074) 142961) ((-103 . -526) 142894) ((-946 . -625) 142876) ((-354 . -738) T) ((-30 . -625) 142858) ((-880 . -1121) T) ((-855 . -1079) 142837) ((-40 . -660) 142744) ((-227 . -1242) T) ((-419 . -1079) T) ((-1179 . -152) 142726) ((-1020 . -300) 142677) ((-888 . -1238) T) ((-629 . -1121) T) ((-227 . -568) T) ((-329 . -1269) 142661) ((-329 . -1266) 142631) ((-713 . -658) 142603) ((-1210 . -1214) 142582) ((-1096 . -625) 142564) ((-1210 . -107) 142514) ((-659 . -152) 142498) ((-644 . -152) 142444) ((-117 . -658) 142416) ((-491 . -1214) 142395) ((-499 . -148) T) ((-499 . -146) NIL) ((-1141 . -626) 142310) ((-450 . -625) 142292) ((-219 . -148) T) ((-219 . -146) NIL) ((-1141 . -625) 142274) ((-130 . -102) T) ((-52 . -102) T) ((-1252 . -651) 142226) ((-491 . -107) 142176) ((-1014 . -23) T) ((-1312 . -38) 142146) ((-1193 . -1133) T) ((-1146 . -1133) T) ((-1083 . -1242) T) ((-245 . -234) 142037) ((-321 . -102) T) ((-868 . -1133) T) ((-971 . -1242) 142016) ((-493 . -1242) 141995) ((-1083 . -568) T) ((-971 . -568) 141926) ((-1193 . -23) T) ((-1172 . -1104) T) ((-1146 . -23) T) ((-868 . -23) T) ((-493 . -568) 141857) ((-1163 . -729) 141789) 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T) ((-783 . -738) T) ((-227 . -374) T) ((-1310 . -1072) 141059) ((-1308 . -1072) 141043) ((-1310 . -652) 141013) ((-1178 . -1121) 140991) ((-885 . -1242) T) ((-1308 . -652) 140961) ((-1109 . -864) T) ((-666 . -625) 140943) ((-885 . -568) T) ((-706 . -379) NIL) ((-44 . -1072) 140927) ((-1317 . -628) 140909) ((-1311 . -1121) T) ((-682 . -102) T) ((-370 . -1295) 140893) ((-364 . -1295) 140877) ((-44 . -652) 140861) ((-356 . -1295) 140845) ((-560 . -102) T) ((-1232 . -1238) T) ((-532 . -861) 140824) ((-723 . -1238) T) ((-977 . -864) 140803) ((-862 . -864) T) ((-499 . -237) T) ((-219 . -237) T) ((-1067 . -1121) T) ((-829 . -464) 140782) ((-153 . -1072) 140766) ((-1067 . -1092) 140695) ((-1048 . -997) 140664) ((-831 . -1133) T) ((-1024 . -729) 140609) ((-153 . -652) 140593) ((-398 . -1133) T) ((-488 . -997) 140562) ((-475 . -997) 140531) ((-1204 . -864) T) ((-110 . -152) 140513) ((-73 . -625) 140495) ((-908 . -625) 140477) ((-1203 . -864) T) ((-1101 . -736) 140456) ((-1317 . -1070) T) ((-828 . -651) 140404) ((-304 . -1079) 140346) ((-171 . -1242) 140251) ((-227 . -1133) T) ((-334 . -23) T) ((-1188 . -1013) 140203) ((-1274 . -1077) 140108) ((-855 . -1121) T) ((-129 . -864) T) ((-1147 . -752) 140087) ((-1272 . -939) 140066) ((-1251 . -939) 140045) ((-884 . -738) T) ((-171 . -568) 139956) ((-592 . -660) 139943) ((-576 . -660) 139915) ((-419 . -1121) T) ((-270 . -1121) T) ((-215 . -625) 139897) ((-507 . -660) 139847) ((-227 . -23) T) ((-1251 . -832) 139800) ((-1310 . -102) T) ((-503 . -1238) T) ((-365 . -1307) 139777) ((-1308 . -102) T) ((-1274 . -111) 139669) ((-1134 . -911) 139536) ((-827 . -1072) 139437) ((-827 . -652) 139359) ((-145 . -625) 139341) ((-1014 . -132) T) ((-44 . -102) T) ((-245 . -861) 139292) ((-598 . -1238) T) ((-1261 . -1242) 139271) ((-103 . -501) 139255) ((-1311 . -729) 139225) ((-1108 . -47) 139186) ((-1083 . -1133) T) ((-971 . -1133) T) ((-128 . -34) T) ((-122 . -34) T) ((-1261 . -568) 139097) ((-794 . -47) 139074) ((-792 . -47) 139046) ((-1218 . -1238) T) ((-1193 . -132) T) ((-365 . -379) T) ((-493 . -1133) T) ((-1146 . -132) T) ((-885 . -374) T) ((-466 . -47) 139025) ((-868 . -132) T) ((-332 . -864) 139004) ((-153 . -102) T) ((-1083 . -23) T) ((-971 . -23) T) ((-583 . -568) T) ((-828 . -25) T) ((-828 . -21) T) ((-1163 . -526) 138937) ((-604 . -1104) T) ((-598 . -1059) 138921) ((-1274 . -628) 138795) ((-493 . -23) T) ((-362 . -1079) T) ((-390 . -864) T) ((-1232 . -917) 138776) ((-682 . -319) 138714) ((-1280 . -234) 138667) ((-1134 . -1295) 138637) ((-711 . -660) 138602) ((-1025 . -861) T) ((-1024 . -174) T) ((-982 . -146) 138581) ((-647 . -1121) T) ((-619 . -1121) T) ((-982 . -148) 138560) ((-747 . -148) 138539) ((-747 . -146) 138518) ((-670 . -1238) T) ((-992 . -861) T) ((-1273 . -234) 138464) ((-1252 . -234) 138281) ((-845 . -658) 138198) ((-486 . -939) 138177) ((-347 . -1238) T) ((-329 . -1072) 138012) ((-326 . -1077) 137922) ((-323 . -1077) 137851) ((-1020 . -296) 137809) ((-419 . -729) 137761) ((-329 . -652) 137602) ((-607 . -234) 137555) ((-713 . -860) T) ((-1274 . -1070) T) ((-326 . -111) 137451) ((-323 . -111) 137364) ((-97 . -1238) T) ((-983 . -102) T) ((-827 . -102) 137096) ((-724 . -626) NIL) ((-724 . -625) 137078) ((-1274 . -336) 137022) ((-670 . -1059) 136918) ((-1108 . -1238) T) ((-1056 . -298) 136893) ((-592 . -738) T) ((-576 . -806) T) ((-171 . -374) 136844) ((-576 . -803) T) ((-576 . -738) T) ((-507 . -738) T) ((-794 . -1238) T) ((-792 . -1238) T) ((-1167 . -501) 136828) ((-473 . -1238) T) ((-466 . -1238) T) ((-1310 . -1309) 136804) ((-1108 . -901) NIL) ((-885 . -1133) T) ((-118 . -928) NIL) ((-1308 . -1309) 136783) ((-661 . -1238) T) ((-794 . -901) NIL) ((-792 . -901) 136642) ((-1303 . -25) T) ((-1303 . -21) T) ((-1235 . -102) 136620) ((-1127 . -407) T) ((-635 . -660) 136607) ((-466 . -901) NIL) ((-687 . -102) 136557) ((-1108 . -1059) 136384) ((-885 . -23) T) ((-794 . -1059) 136243) ((-792 . -1059) 136100) ((-118 . -660) 136045) ((-466 . -1059) 135921) ((-284 . -1238) T) ((-326 . -628) 135485) ((-323 . -628) 135368) ((-50 . -1238) T) ((-402 . -658) 135337) ((-661 . -1059) 135321) ((-639 . -102) T) ((-593 . -1238) T) ((-530 . -1238) T) ((-224 . -501) 135305) ((-1288 . -34) T) ((-633 . -658) 135264) ((-299 . -1072) 135251) ((-137 . -628) 135235) ((-299 . -652) 135222) ((-647 . -729) 135206) ((-619 . -729) 135190) ((-682 . -38) 135150) ((-329 . -102) T) ((-1141 . -1077) 135137) ((-85 . -625) 135119) ((-50 . -1059) 135103) ((-1108 . -388) 135087) ((-794 . -388) 135071) ((-711 . -738) T) ((-711 . -806) T) ((-711 . -803) T) ((-60 . -57) 135033) ((-593 . -1059) 135020) ((-530 . -1059) 134997) ((-173 . -1238) T) ((-334 . -132) T) ((-326 . -1070) 134887) ((-323 . -1070) T) ((-171 . -1133) T) ((-792 . -388) 134871) ((-45 . -152) 134821) ((-1025 . -1013) 134803) ((-466 . -388) 134787) ((-419 . -174) T) ((-326 . -248) 134766) ((-323 . -248) T) ((-323 . -238) NIL) ((-304 . -1121) 134548) ((-227 . -132) T) ((-1141 . -111) 134533) ((-171 . -23) T) ((-811 . -148) 134512) ((-811 . -146) 134491) ((-258 . -651) 134397) ((-257 . -651) 134303) ((-329 . -294) 134269) ((-1178 . -526) 134202) ((-489 . -658) 134152) ((-494 . -911) 134019) ((-1154 . -1121) T) ((-227 . -1081) T) ((-827 . -319) 133957) ((-1108 . -917) 133892) ((-794 . -917) 133835) ((-792 . -917) 133819) ((-1310 . -38) 133789) ((-1308 . -38) 133759) ((-1261 . -1133) T) ((-869 . -1133) T) ((-466 . -917) 133736) ((-872 . -1121) T) ((-1261 . -23) T) ((-1141 . -628) 133708) ((-1083 . -132) T) ((-869 . -23) T) ((-583 . -1133) T) ((-635 . -738) T) ((-522 . -864) T) ((-366 . -939) T) ((-363 . -939) T) ((-299 . -102) T) ((-355 . -939) T) ((-991 . -1104) T) ((-971 . -132) T) ((-828 . -234) 133653) ((-118 . -806) NIL) ((-118 . -803) NIL) ((-118 . -738) T) ((-1067 . -526) 133554) ((-706 . -928) NIL) ((-583 . -23) T) ((-493 . -132) T) ((-430 . -237) 133505) ((-687 . -319) 133443) ((-225 . -1238) T) ((-647 . -773) T) ((-619 . -773) T) ((-1252 . -861) NIL) ((-1101 . -1072) 133353) ((-1024 . -300) T) ((-706 . -660) 133303) ((-258 . -25) T) ((-362 . -1121) T) ((-258 . -21) T) ((-257 . -25) T) ((-257 . -21) T) ((-153 . -38) 133287) ((-2 . -102) T) ((-929 . -939) T) ((-1101 . -652) 133155) ((-494 . -1295) 133125) ((-1141 . -1070) T) ((-723 . -317) T) ((-370 . -1072) 133077) ((-364 . -1072) 133029) ((-356 . -1072) 132981) ((-370 . -652) 132933) ((-225 . -1059) 132910) ((-364 . -652) 132862) ((-108 . -1072) 132812) ((-356 . -652) 132764) ((-304 . -729) 132706) ((-713 . -1079) T) ((-499 . -464) T) ((-419 . -526) 132618) ((-108 . -652) 132568) ((-219 . -464) T) ((-1141 . -238) T) ((-305 . -152) 132518) ((-1020 . -626) 132479) ((-1020 . -625) 132461) ((-1010 . -625) 132443) ((-117 . -1079) T) ((-666 . -1077) 132427) ((-227 . -505) T) ((-411 . -625) 132409) ((-411 . -626) 132386) ((-1075 . -1295) 132356) ((-666 . -111) 132335) ((-682 . -919) 132258) ((-1163 . -501) 132242) ((-1312 . -658) 132201) ((-392 . -658) 132170) ((-63 . -453) T) ((-63 . -407) T) ((-1180 . -102) T) ((-885 . -132) T) ((-496 . -102) 132120) ((-1139 . -1238) T) ((-1244 . -864) T) ((-1317 . -379) T) ((-1101 . -102) T) ((-1082 . -102) T) ((-362 . -729) 132065) ((-886 . -864) 132016) ((-743 . -148) 131995) ((-743 . -146) 131974) ((-666 . -628) 131892) ((-1045 . -660) 131829) ((-535 . -1121) 131807) ((-370 . -102) T) ((-364 . -102) T) ((-356 . -102) T) ((-108 . -102) T) ((-516 . -1121) T) ((-365 . -660) 131752) ((-1193 . -651) 131700) ((-1146 . -651) 131648) ((-396 . -521) 131627) ((-845 . -860) 131606) ((-706 . -738) T) ((-390 . -1242) T) ((-343 . -1238) T) ((-1252 . -1013) 131558) ((-350 . -1079) T) ((-112 . -1238) T) ((-176 . -1079) T) ((-103 . -625) 131490) ((-1195 . -146) 131469) ((-1195 . -148) 131448) ((-390 . -568) T) ((-1194 . -148) 131427) ((-1194 . -146) 131406) ((-1188 . -146) 131313) ((-419 . -300) T) ((-1188 . -148) 131220) ((-1147 . -148) 131199) ((-1147 . -146) 131178) ((-329 . -38) 131019) ((-171 . -132) T) ((-323 . -807) NIL) ((-323 . -804) NIL) ((-666 . -1070) T) ((-48 . -660) 130969) ((-1134 . -1072) 130870) ((-908 . -628) 130847) ((-1134 . -652) 130769) ((-1187 . -102) T) ((-1015 . -102) T) ((-1014 . -21) T) ((-128 . -1031) 130753) ((-122 . -1031) 130737) ((-1014 . -25) T) ((-920 . -120) 130721) ((-1179 . -102) T) ((-1261 . -132) T) ((-1251 . -864) 130620) ((-1193 . -25) T) ((-1193 . -21) T) ((-1180 . -319) 130415) ((-354 . -1238) T) ((-1146 . -25) T) ((-869 . -132) T) ((-406 . -1238) T) ((-1146 . -21) T) ((-868 . -25) T) ((-868 . -21) T) ((-794 . -317) 130394) ((-1178 . -501) 130378) ((-1171 . -152) 130328) ((-1167 . -625) 130290) ((-659 . -102) 130240) ((-644 . -102) T) ((-1167 . -626) 130201) ((-583 . -132) T) ((-633 . -860) 130180) ((-1045 . -803) T) ((-1045 . -806) T) ((-1045 . -738) T) ((-827 . -919) 130049) ((-724 . -1077) 129872) ((-614 . -864) 129851) ((-496 . -319) 129789) ((-465 . -429) 129759) ((-362 . -174) T) ((-299 . -38) 129746) ((-258 . -234) 129637) ((-257 . -234) 129528) ((-283 . -102) T) ((-282 . -102) T) ((-281 . -102) T) ((-280 . -102) T) ((-279 . -102) T) 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. -1238) T) ((-507 . -1238) T) ((-527 . -23) T) ((-522 . -23) T) ((-354 . -317) T) ((-520 . -23) T) ((-332 . -132) T) ((-3 . -1121) T) ((-1024 . -626) 123546) ((-1020 . -248) 123525) ((-1020 . -238) 123504) ((-1280 . -148) 123483) ((-1273 . -148) 123462) ((-845 . -1121) T) ((-1273 . -146) 123441) ((-1272 . -1242) 123420) ((-1252 . -146) 123327) ((-1252 . -148) 123234) ((-1251 . -1242) 123213) ((-390 . -132) T) ((-227 . -234) 123200) ((-176 . -174) T) ((-576 . -901) 123182) ((0 . -1121) T) ((-171 . -21) T) ((-171 . -25) T) ((-55 . -1238) T) ((-49 . -1121) T) ((-1274 . -660) 123087) ((-1272 . -568) 123038) ((-726 . -1133) T) ((-1251 . -568) 122989) ((-576 . -1059) 122971) ((-607 . -148) 122950) ((-607 . -146) 122929) ((-507 . -1059) 122872) ((-1156 . -1158) T) ((-87 . -395) T) ((-87 . -407) T) ((-886 . -374) T) ((-848 . -132) T) ((-839 . -132) T) ((-983 . -658) 122816) ((-726 . -23) T) ((-518 . -625) 122782) ((-514 . -625) 122764) ((-827 . -658) 122543) ((-1312 . -1079) T) ((-390 . 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121515) ((-723 . -939) T) ((-486 . -1242) 121494) ((-1194 . -464) 121473) ((-1188 . -464) 121452) ((-340 . -102) T) ((-886 . -1133) T) ((-329 . -658) 121334) ((-326 . -660) 121063) ((-323 . -660) 120992) ((-486 . -568) 120943) ((-350 . -526) 120909) ((-562 . -152) 120859) ((-40 . -317) T) ((-855 . -625) 120841) ((-713 . -300) T) ((-886 . -23) T) ((-390 . -505) T) ((-1101 . -272) 120811) ((-1101 . -232) 120781) ((-524 . -102) T) ((-419 . -626) 120588) ((-419 . -625) 120570) ((-270 . -625) 120552) ((-117 . -300) T) ((-1274 . -738) T) ((-635 . -1238) T) ((-1313 . -1121) T) ((-1272 . -374) 120531) ((-1251 . -374) 120510) ((-1301 . -34) T) ((-1246 . -1121) T) ((-118 . -1238) T) ((-108 . -272) 120492) ((-108 . -232) 120474) ((-1199 . -102) T) ((-489 . -1121) T) ((-535 . -501) 120458) ((-749 . -34) T) ((-665 . -1072) 120442) ((-665 . -652) 120412) ((-885 . -234) NIL) ((-142 . -34) T) ((-118 . -899) 120389) ((-118 . -901) NIL) ((-635 . -1059) 120272) ((-1300 . -102) T) ((-1280 . -237) 120231) 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. -234) 118770) ((-884 . -317) T) ((-323 . -806) NIL) ((-323 . -803) NIL) ((-326 . -738) 118619) ((-323 . -738) T) ((-486 . -374) 118598) ((-370 . -360) 118577) ((-364 . -360) 118556) ((-356 . -360) 118535) ((-326 . -485) 118514) ((-1272 . -23) T) ((-1251 . -23) T) ((-730 . -1133) T) ((-726 . -132) T) ((-665 . -102) T) ((-489 . -729) 118479) ((-674 . -864) 118458) ((-45 . -292) 118408) ((-105 . -1121) T) ((-68 . -625) 118390) ((-250 . -864) 118369) ((-991 . -102) T) ((-878 . -102) T) ((-635 . -917) 118328) ((-1312 . -1121) T) ((-392 . -1121) T) ((-1261 . -234) 118315) ((-1237 . -1121) T) ((-82 . -1238) T) ((-1134 . -272) 118284) ((-1083 . -861) T) ((-118 . -917) NIL) ((-794 . -939) 118263) ((-725 . -861) T) ((-543 . -1121) T) ((-512 . -1121) T) ((-366 . -1242) T) ((-363 . -1242) T) ((-355 . -1242) T) ((-273 . -1242) 118242) ((-253 . -1242) 118221) ((-545 . -874) T) ((-1134 . -232) 118190) ((-1179 . -840) T) ((-1163 . -1077) 118174) ((-402 . -773) T) ((-706 . -1238) T) ((-703 . -1059) 118158) ((-366 . -568) T) ((-363 . -568) T) ((-355 . -568) T) ((-273 . -568) 118089) ((-253 . -568) 118020) ((-537 . -1104) T) ((-1163 . -111) 117999) ((-465 . -756) 117969) ((-880 . -1077) 117939) ((-829 . -38) 117881) ((-706 . -899) 117863) ((-706 . -901) 117845) ((-305 . -319) 117649) ((-1178 . -298) 117626) ((-929 . -1242) T) ((-1101 . -658) 117521) ((-1025 . -464) T) ((-682 . -423) 117505) ((-880 . -111) 117470) ((-933 . -464) T) ((-706 . -1059) 117415) ((-929 . -568) T) ((-545 . -625) 117397) ((-593 . -939) T) ((-499 . -1072) 117347) ((-486 . -1133) T) ((-530 . -939) T) ((-494 . -919) 117216) ((-65 . -625) 117198) ((-219 . -1072) 117148) ((-499 . -652) 117098) ((-370 . -658) 117035) ((-364 . -658) 116972) ((-356 . -658) 116909) ((-644 . -231) 116855) ((-219 . -652) 116805) ((-108 . -658) 116755) ((-486 . -23) T) ((-1141 . -806) T) ((-886 . -132) T) ((-1141 . -803) T) ((-1303 . -1305) 116734) ((-1141 . -738) T) ((-666 . -660) 116708) ((-304 . -625) 116449) ((-1163 . -628) 116367) 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. -111) 115516) ((-1195 . -994) 115485) ((-1194 . -994) 115447) ((-532 . -152) 115431) ((-1101 . -381) 115410) ((-362 . -625) 115392) ((-332 . -21) T) ((-365 . -1059) 115369) ((-332 . -25) T) ((-1188 . -994) 115338) ((-48 . -1238) T) ((-76 . -625) 115320) ((-1147 . -994) 115287) ((-711 . -317) T) ((-130 . -856) T) ((-929 . -374) T) ((-390 . -25) T) ((-390 . -21) T) ((-929 . -339) 115274) ((-86 . -625) 115256) ((-711 . -1043) T) ((-689 . -861) T) ((-400 . -1238) T) ((-1272 . -132) T) ((-1251 . -132) T) ((-920 . -1031) 115240) ((-848 . -21) T) ((-48 . -1059) 115183) ((-848 . -25) T) ((-839 . -25) T) ((-839 . -21) T) ((-1134 . -658) 114962) ((-1310 . -1079) T) ((-561 . -102) T) ((-1308 . -1079) T) ((-666 . -738) T) ((-1125 . -630) 114865) ((-1024 . -628) 114795) ((-1311 . -1077) 114779) ((-923 . -1238) T) ((-827 . -423) 114748) ((-103 . -120) 114732) ((-130 . -1121) T) ((-52 . -1121) T) ((-945 . -625) 114714) ((-885 . -1013) 114691) ((-835 . -102) T) ((-1311 . -111) 114670) ((-743 . -911) 114645) ((-665 . -38) 114615) ((-583 . -861) T) ((-366 . -1133) T) ((-363 . -1133) T) ((-355 . -1133) T) ((-273 . -1133) T) ((-253 . -1133) T) ((-1171 . -319) 114419) ((-1109 . -234) 114406) ((-635 . -317) 114385) ((-676 . -23) T) ((-536 . -1104) T) ((-321 . -1121) T) ((-494 . -272) 114354) ((-494 . -232) 114323) ((-153 . -1079) T) ((-366 . -23) T) ((-363 . -23) T) ((-355 . -23) T) ((-118 . -317) T) ((-273 . -23) T) ((-253 . -23) T) ((-1024 . -1070) T) ((-724 . -928) 114302) ((-1195 . -911) 114190) ((-1194 . -911) 114071) ((-1188 . -911) 113807) ((-1178 . -628) 113784) ((-1024 . -238) 113756) ((-1024 . -248) T) ((-1147 . -911) 113738) ((-118 . -1043) NIL) ((-929 . -1133) T) ((-1273 . -464) 113717) ((-1252 . -464) 113696) ((-535 . -625) 113628) ((-724 . -660) 113517) ((-419 . -1077) 113469) ((-516 . -625) 113451) ((-929 . -23) T) ((-499 . -319) NIL) ((-1311 . -628) 113407) ((-486 . -132) T) ((-219 . -319) NIL) ((-419 . -111) 113345) ((-827 . -1079) 113323) ((-749 . -1119) 113307) 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111979) ((-1188 . -1248) 111963) ((-527 . -25) T) ((-507 . -312) T) ((-523 . -23) T) ((-522 . -25) T) ((-520 . -25) T) ((-519 . -23) T) ((-430 . -1072) 111937) ((-419 . -1070) T) ((-329 . -1079) T) ((-706 . -317) T) ((-430 . -652) 111911) ((-108 . -860) T) ((-724 . -738) T) ((-419 . -248) T) ((-419 . -238) 111890) ((-390 . -234) 111877) ((-499 . -38) 111827) ((-219 . -38) 111777) ((-486 . -505) 111743) ((-1245 . -379) T) ((-1179 . -1165) T) ((-1122 . -102) T) ((-839 . -234) 111716) ((-713 . -625) 111698) ((-713 . -626) 111613) ((-726 . -21) T) ((-726 . -25) T) ((-1156 . -102) T) ((-494 . -658) 111392) ((-245 . -911) 111259) ((-135 . -625) 111241) ((-117 . -625) 111223) ((-158 . -25) T) ((-1310 . -1121) T) ((-886 . -651) 111171) ((-1308 . -1121) T) ((-879 . -1238) T) ((-982 . -102) T) ((-747 . -102) T) ((-727 . -102) T) ((-465 . -102) T) ((-828 . -464) 111122) ((-44 . -1121) T) ((-1109 . -861) T) ((-1084 . -319) 110973) ((-676 . -132) T) ((-1075 . -658) 110942) ((-682 . -729) 110926) 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-651) 109765) ((-701 . -102) 109715) ((-44 . -729) 109699) ((-562 . -102) T) ((-304 . -628) 109630) ((-67 . -394) T) ((-499 . -919) NIL) ((-67 . -407) T) ((-284 . -864) T) ((-219 . -919) NIL) ((-674 . -23) T) ((-829 . -658) 109566) ((-682 . -773) T) ((-1235 . -1121) 109544) ((-362 . -1077) 109489) ((-687 . -1121) 109467) ((-1083 . -148) T) ((-971 . -148) 109446) ((-971 . -146) 109425) ((-811 . -102) T) ((-153 . -729) 109409) ((-493 . -148) 109388) ((-493 . -146) 109367) ((-362 . -111) 109296) ((-1101 . -1079) T) ((-332 . -861) 109275) ((-1280 . -994) 109244) ((-1274 . -1238) T) ((-639 . -1121) T) ((-1273 . -994) 109206) ((-523 . -132) T) ((-519 . -132) T) ((-305 . -231) 109156) ((-370 . -1079) T) ((-364 . -1079) T) ((-356 . -1079) T) ((-304 . -1070) 109098) ((-1252 . -994) 109067) ((-390 . -861) T) ((-108 . -1079) T) ((-1020 . -738) T) ((-884 . -939) T) ((-855 . -807) 109046) ((-855 . -804) 109025) ((-430 . -319) 108964) ((-480 . -102) T) ((-607 . -994) 108933) ((-329 . -1121) T) 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98424) ((-362 . -1307) 98401) ((-227 . -464) T) ((-329 . -300) 98352) ((-356 . -174) T) ((-176 . -248) T) ((-1251 . -861) 98251) ((-108 . -174) T) ((-886 . -1013) 98235) ((-670 . -1133) T) ((-593 . -374) T) ((-593 . -339) 98222) ((-530 . -339) 98199) ((-530 . -374) T) ((-326 . -317) 98178) ((-323 . -317) T) ((-614 . -861) 98157) ((-1134 . -729) 98099) ((-532 . -292) 98083) ((-670 . -23) T) ((-430 . -232) 98067) ((-430 . -272) 98051) ((-323 . -1043) NIL) ((-347 . -23) T) ((-103 . -1031) 98035) ((-45 . -36) 98014) ((-624 . -1121) T) ((-362 . -379) T) ((-536 . -102) T) ((-507 . -27) T) ((-245 . -319) 97952) ((-1108 . -1133) T) ((-1311 . -660) 97926) ((-794 . -1133) T) ((-792 . -1133) T) ((-1199 . -423) 97910) ((-466 . -1133) T) ((-1083 . -464) T) ((-1172 . -1121) T) ((-971 . -464) 97861) ((-1136 . -1104) T) ((-110 . -1121) T) ((-1108 . -23) T) ((-1180 . -526) 97644) ((-829 . -1079) T) ((-794 . -23) T) ((-792 . -23) T) ((-493 . -464) 97595) ((-473 . -23) T) ((-392 . -393) 97574) ((-366 . 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-146) 90299) ((-118 . -864) NIL) ((-496 . -501) 90283) ((-497 . -346) 90252) ((-524 . -1121) T) ((-1312 . -111) 90231) ((-1020 . -388) 90215) ((-425 . -102) T) ((-392 . -111) 90194) ((-1020 . -349) 90178) ((-288 . -1004) 90162) ((-287 . -1004) 90146) ((-1025 . -919) NIL) ((-1310 . -625) 90128) ((-1308 . -625) 90110) ((-110 . -526) NIL) ((-1193 . -1264) 90094) ((-868 . -866) 90078) ((-1199 . -1121) T) ((-103 . -1238) T) ((-971 . -968) 90039) ((-829 . -729) 89981) ((-1252 . -1173) NIL) ((-493 . -968) 89926) ((-1083 . -144) T) ((-60 . -102) 89876) ((-44 . -625) 89858) ((-78 . -625) 89840) ((-362 . -660) 89785) ((-1300 . -1121) T) ((-523 . -861) T) ((-299 . -296) 89764) ((-354 . -1133) T) ((-305 . -1121) T) ((-1020 . -917) 89723) ((-305 . -622) 89702) ((-1312 . -628) 89651) ((-1280 . -38) 89548) ((-1273 . -38) 89389) ((-1252 . -38) 89185) ((-499 . -1079) T) ((-392 . -628) 89169) ((-219 . -1079) T) ((-354 . -23) T) ((-153 . -625) 89151) ((-845 . -807) 89130) ((-845 . -804) 89109) ((-1237 . -628) 89090) ((-608 . -38) 89063) ((-607 . -38) 88960) ((-884 . -568) T) ((-225 . -132) T) ((-329 . -1023) 88926) ((-79 . -625) 88908) ((-724 . -317) 88887) ((-304 . -738) 88789) ((-836 . -102) T) ((-878 . -856) T) ((-304 . -485) 88768) ((-1303 . -102) T) ((-40 . -374) T) ((-886 . -148) 88747) ((-497 . -658) 88729) ((-886 . -146) 88708) ((-1179 . -501) 88690) ((-1312 . -1070) T) ((-494 . -526) 88623) ((-1167 . -1238) T) ((-983 . -625) 88605) ((-659 . -501) 88589) ((-644 . -501) 88520) ((-827 . -625) 88213) ((-48 . -27) T) ((-1199 . -729) 88110) ((-971 . -911) 88089) ((-665 . -1121) T) ((-875 . -874) T) ((-448 . -375) 88063) ((-743 . -658) 87973) ((-493 . -911) 87948) ((-1123 . -102) T) ((-991 . -1121) T) ((-878 . -1121) T) ((-828 . -319) 87935) ((-545 . -539) T) ((-545 . -588) T) ((-1308 . -393) 87907) ((-706 . -864) T) ((-1075 . -526) 87840) ((-1180 . -296) 87816) ((-245 . -272) 87785) ((-245 . -232) 87754) ((-258 . -1072) 87655) ((-257 . -1072) 87556) ((-1300 . -729) 87526) ((-1187 . 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. -146) 79948) ((-355 . -148) 79927) ((-355 . -146) 79878) ((-273 . -146) 79857) ((-273 . -148) 79836) ((-253 . -148) 79815) ((-118 . -374) T) ((-253 . -146) 79794) ((-1179 . -626) NIL) ((-153 . -111) 79773) ((-1024 . -1059) 79661) ((-1178 . -1238) T) ((-706 . -1242) T) ((-811 . -1079) T) ((-711 . -1133) T) ((-1024 . -388) 79638) ((-518 . -1238) T) ((-514 . -1238) T) ((-929 . -146) T) ((-929 . -148) 79620) ((-884 . -132) T) ((-827 . -1077) 79541) ((-711 . -23) T) ((-706 . -568) T) ((-227 . -1072) 79506) ((-659 . -625) 79438) ((-659 . -626) 79399) ((-644 . -626) NIL) ((-644 . -625) 79381) ((-499 . -174) T) ((-227 . -652) 79346) ((-219 . -174) T) ((-225 . -21) T) ((-225 . -25) T) ((-486 . -1226) 79312) ((-486 . -1223) 79278) ((-283 . -625) 79260) ((-282 . -625) 79242) ((-281 . -625) 79224) ((-280 . -625) 79206) ((-279 . -625) 79188) ((-512 . -663) 79170) ((-278 . -625) 79152) ((-350 . -738) T) ((-277 . -625) 79134) ((-110 . -19) 79116) ((-176 . -738) T) ((-512 . -384) 79098) ((-214 . 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. -414) NIL) ((-118 . -237) NIL) ((-1195 . -628) 34107) ((-1141 . -673) T) ((-885 . -729) 34052) ((-258 . -501) 34036) ((-257 . -501) 34020) ((-1194 . -628) 33763) ((-1188 . -628) 33558) ((-724 . -651) 33506) ((-665 . -660) 33480) ((-1147 . -628) 33362) ((-305 . -34) T) ((-1141 . -113) T) ((-743 . -1070) T) ((-593 . -1295) 33349) ((-530 . -1295) 33326) ((-1261 . -1121) T) ((-1193 . -300) 33237) ((-1146 . -300) 33168) ((-1083 . -174) T) ((-299 . -1238) T) ((-869 . -1121) T) ((-971 . -174) 33079) ((-794 . -1264) 33063) ((-656 . -526) 32996) ((-77 . -625) 32978) ((-743 . -336) 32943) ((-1199 . -738) T) ((-583 . -1121) T) ((-493 . -174) 32854) ((-250 . -319) 32792) ((-1163 . -1133) T) ((-70 . -625) 32774) ((-1300 . -738) T) ((-1195 . -1070) T) ((-1194 . -1070) T) ((-1188 . -1070) T) ((-337 . -102) 32704) ((-1163 . -23) T) ((-2 . -1238) T) ((-1147 . -1070) T) ((-91 . -1142) 32688) ((-880 . -1133) T) ((-1195 . -238) 32647) ((-1194 . -248) 32626) ((-1194 . -238) 32578) ((-1188 . -238) 32465) 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T) ((-839 . -1079) T) ((-706 . -35) NIL) ((-706 . -95) NIL) ((-323 . -1013) 29619) ((-185 . -102) T) ((-1311 . -1133) T) ((-1311 . -23) T) ((-592 . -464) T) ((-576 . -464) T) ((-507 . -464) T) ((-1303 . -625) 29601) ((-1261 . -174) 29492) ((-1232 . -102) T) ((-419 . -374) T) ((-1219 . -1121) T) ((-1210 . -231) 29442) ((-1204 . -856) T) ((-1203 . -856) T) ((-1187 . -1238) T) ((-245 . -1070) 29420) ((-1015 . -1238) T) ((-1171 . -34) T) ((-1188 . -804) NIL) ((-1188 . -807) NIL) ((-1179 . -1238) T) ((-489 . -939) T) ((-1020 . -651) 29368) ((-258 . -616) 29345) ((-257 . -616) 29322) ((-1163 . -132) T) ((-1123 . -626) 29283) ((-1101 . -388) 29267) ((-885 . -526) 29175) ((-245 . -238) 29127) ((-1123 . -625) 29109) ((-1109 . -1121) T) ((-1025 . -628) 29059) ((-1101 . -917) 28992) ((-933 . -628) 28929) ((-836 . -625) 28911) ((-1097 . -1121) T) ((-1083 . -300) T) ((-1025 . -248) T) ((-1025 . -238) T) ((-1025 . -1070) T) ((-977 . -1121) 28861) ((-971 . -300) 28792) ((-439 . -628) 28761) ((-108 . 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. -238) 13209) ((-1141 . -237) T) ((-40 . -102) T) ((-929 . -1079) T) ((-706 . -911) NIL) ((-1202 . -102) T) ((-129 . -501) 13191) ((-1195 . -738) T) ((-1194 . -738) T) ((-1188 . -738) T) ((-1188 . -803) NIL) ((-1188 . -806) NIL) ((-973 . -102) T) ((-940 . -102) T) ((-884 . -1072) 13178) ((-1147 . -738) T) ((-783 . -102) T) ((-684 . -102) T) ((-884 . -652) 13165) ((-558 . -625) 13147) ((-486 . -1121) T) ((-350 . -1133) T) ((-176 . -1133) T) ((-329 . -939) 13126) ((-1272 . -729) 12967) ((-886 . -174) T) ((-1251 . -729) 12781) ((-855 . -21) 12733) ((-855 . -25) 12685) ((-250 . -1170) 12669) ((-127 . -526) 12602) ((-419 . -25) T) ((-419 . -21) T) ((-350 . -23) T) ((-171 . -626) 12368) ((-171 . -625) 12350) ((-176 . -23) T) ((-656 . -298) 12327) ((-532 . -34) T) ((-915 . -625) 12309) ((-89 . -1238) T) ((-853 . -625) 12291) ((-820 . -625) 12273) ((-781 . -625) 12255) ((-689 . -625) 12237) ((-245 . -660) 12070) ((-629 . -113) T) ((-1197 . -1121) T) ((-1193 . -1077) 11893) ((-216 . -1238) T) 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. -658) 6570) ((-1084 . -1238) T) ((-1083 . -1077) 6557) ((-1083 . -111) 6542) ((-971 . -111) 6371) ((-971 . -1077) 6214) ((-794 . -658) 6124) ((-792 . -658) 6034) ((-676 . -729) 6018) ((-635 . -1072) 6005) ((-635 . -652) 5992) ((-560 . -864) T) ((-493 . -1077) 5835) ((-489 . -374) T) ((-473 . -658) 5791) ((-466 . -658) 5701) ((-227 . -628) 5651) ((-366 . -729) 5603) ((-363 . -729) 5555) ((-118 . -1072) 5500) ((-355 . -729) 5452) ((-273 . -729) 5301) ((-253 . -729) 5150) ((-1111 . -93) T) ((-1094 . -93) T) ((-118 . -652) 5095) ((-1087 . -93) T) ((-962 . -663) 5079) ((-1078 . -1121) 5057) ((-493 . -111) 4886) ((-1057 . -93) T) ((-1040 . -93) T) ((-962 . -384) 4870) ((-254 . -102) T) ((-982 . -47) 4849) ((-74 . -625) 4831) ((-724 . -237) T) ((-722 . -102) T) ((-711 . -102) T) ((-1 . -1121) T) ((-633 . -1133) T) ((-1109 . -625) 4813) ((-638 . -93) T) ((-1097 . -625) 4795) ((-929 . -729) 4760) ((-127 . -501) 4744) ((-495 . -93) T) ((-633 . -23) T) ((-402 . -23) T) ((-87 . -1238) T) ((-220 . -93) T) ((-620 . -625) 4726) ((-620 . -626) NIL) ((-487 . -626) NIL) ((-487 . -625) 4708) ((-362 . -25) T) ((-362 . -21) T) ((-50 . -658) 4667) ((-523 . -1121) T) ((-519 . -1121) T) ((-122 . -319) 4605) ((-128 . -319) 4543) ((-608 . -660) 4517) ((-607 . -660) 4442) ((-593 . -658) 4392) ((-227 . -1070) T) ((-530 . -658) 4322) ((-1083 . -628) 4294) ((-390 . -1023) T) ((-227 . -248) T) ((-227 . -238) T) ((-862 . -502) 4278) ((-1083 . -630) 4259) ((-977 . -626) 4220) ((-977 . -625) 4132) ((-971 . -628) 3921) ((-862 . -625) 3905) ((-884 . -38) 3892) ((-725 . -628) 3842) ((-1272 . -300) 3793) ((-1251 . -300) 3744) ((-493 . -628) 3529) ((-1141 . -464) T) ((-514 . -861) T) ((-326 . -1160) 3508) ((-1122 . -1238) T) ((-1020 . -148) 3487) ((-1020 . -146) 3466) ((-507 . -319) 3453) ((-1205 . -625) 3435) ((-305 . -1214) 3414) ((-1204 . -625) 3396) ((-1156 . -1238) T) ((-1203 . -625) 3378) ((-885 . -1077) 3323) ((-489 . -1133) T) ((-140 . -847) 3305) ((-115 . -847) 3286) ((-1224 . -501) 3270) ((-1083 . -1070) T) ((-635 . -102) T) ((-982 . -1238) T) ((-971 . -1070) T) ((-258 . -379) 3249) ((-257 . -379) 3228) ((-885 . -111) 3157) ((-305 . -107) 3107) ((-131 . -625) 3089) ((-129 . -626) NIL) ((-129 . -625) 3033) ((-118 . -102) T) ((-747 . -1238) T) ((-727 . -1238) T) ((-489 . -23) T) ((-465 . -1238) T) ((-493 . -1070) T) ((-1083 . -238) T) ((-971 . -336) 3002) ((-40 . -919) 2911) ((-493 . -336) 2868) ((-366 . -174) T) ((-363 . -174) T) ((-355 . -174) T) ((-273 . -174) 2779) ((-253 . -174) 2690) ((-982 . -1059) 2586) ((-529 . -502) 2567) ((-747 . -1059) 2538) ((-529 . -625) 2504) ((-430 . -1238) T) ((-1126 . -102) T) ((-1113 . -625) 2463) ((-1055 . -625) 2445) ((-706 . -1072) 2395) ((-1301 . -152) 2379) ((-1299 . -628) 2360) ((-1298 . -628) 2341) ((-1293 . -625) 2323) ((-1280 . -738) T) ((-706 . -652) 2273) ((-1273 . -738) T) ((-1252 . -803) NIL) ((-1252 . -806) NIL) ((-171 . -1077) 2183) ((-929 . -174) T) ((-885 . -628) 2113) ((-1252 . -738) T) ((-1024 . -353) 2087) ((-225 . -658) 2039) ((-1021 . -526) 1972) ((-855 . -861) 1951) ((-576 . -1173) T) ((-486 . -300) 1902) ((-608 . -738) T) ((-372 . -625) 1884) ((-332 . -625) 1866) ((-430 . -1059) 1762) ((-607 . -738) T) ((-419 . -861) 1713) ((-171 . -111) 1609) ((-845 . -132) 1561) ((-1288 . -319) 1499) ((-749 . -152) 1483) ((-983 . -864) 1382) ((-827 . -864) 1333) ((-499 . -317) T) ((-390 . -625) 1300) ((-532 . -1031) 1284) ((-390 . -626) 1198) ((-219 . -317) T) ((-142 . -152) 1180) ((-726 . -296) 1159) ((-499 . -1043) T) ((-592 . -38) 1146) ((-576 . -38) 1133) ((-507 . -38) 1098) ((-219 . -1043) T) ((-885 . -1070) T) ((-848 . -625) 1080) ((-839 . -625) 1062) ((-837 . -625) 1044) ((-828 . -928) 1023) ((-1312 . -1133) T) ((-322 . -1238) T) ((-1261 . -1077) 846) ((-869 . -1077) 830) ((-885 . -248) T) ((-885 . -238) NIL) ((-701 . -1238) T) ((-1312 . -23) T) ((-828 . -660) 719) ((-562 . -1238) T) ((-430 . -349) 703) ((-583 . -1077) 690) ((-1261 . -111) 499) ((-713 . -651) 481) ((-869 . -111) 460) ((-392 . -23) T) ((-171 . -628) 238) ((-1210 . -526) 30) ((-890 . -1121) T) ((-693 . -1121) T) ((-688 . -1121) T) ((-674 . -1121) T)) 
 \ No newline at end of file
diff --git a/src/share/algebra/compress.daase b/src/share/algebra/compress.daase
index 8aff76dc..709498d4 100644
--- a/src/share/algebra/compress.daase
+++ b/src/share/algebra/compress.daase
@@ -1,6 +1,6 @@
 
-(30 . 3486820625)            
-(4467 |Enumeration| |Mapping| |Record| |Union| |ofCategory| |isDomain|
+(30 . 3486833879)            
+(4468 |Enumeration| |Mapping| |Record| |Union| |ofCategory| |isDomain|
  ATTRIBUTE |package| |domain| |category| CATEGORY |nobranch| AND |Join|
  |ofType| SIGNATURE "failed" "algebra" |OneDimensionalArrayAggregate&|
  |OneDimensionalArrayAggregate| |AbelianGroup&| |AbelianGroup|
@@ -488,658 +488,661 @@
  |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |YoungDiagram|
  |ParadoxicalCombinatorsForStreams| |ZeroDimensionalSolvePackage|
  |IntegerLinearDependence| |IntegerMod| |Enumeration| |Mapping|
- |Record| |Union| |integerBound| |sumOfSquares| |autoReduced?|
- |magnitude| |arg2| |complexSolve| |f01ref| |string| |chiSquare1|
- |combineFeatureCompatibility| |primeFrobenius| |normalize|
- |outputArgs| |fglmIfCan| |newTypeLists| |fortranTypeOf| |OMgetType|
- |torsion?| |say| |f01bsf| |hessian| |OMlistCDs| |pushNewContour|
- |rowEchelonLocal| |d01amf| |conditions| |ldf2vmf| |wrregime| |pair?|
- |isOr| |integralAtInfinity?| |semiIndiceSubResultantEuclidean|
- |multiplyCoefficients| |genericRightNorm| |diophantineSystem| |title|
- |match| |simpleBounds?| |setDifference| |makeprod| |reset| |quickSort|
- |limitedIntegrate| |isAnd| |uniform01| |merge!| |clikeUniv| |sum|
- |multiEuclidean| |primitivePart| |rename!| |inc| |style| |neglist|
- |c06gqf| |realEigenvalues| |head| |pr2dmp| |isobaric?| |repSq| |write|
- |inputBinaryFile| |makeCrit| |entry?| |e04mbf| |c05pbf| |string?| |e|
- |rdregime| |save| |permutationGroup| |linearlyDependentOverZ?|
- |write!| |lp| |genericRightTraceForm| |s17def| |maxPoints3D|
- |OMputAtp| |taylorIfCan| |validExponential| |prinshINFO| |nothing|
- |torsionIfCan| |thenBranch| |ran| |f04maf| |presub| |meatAxe| |nor|
- |tab1| |janko2| |latex| |delay| |OMsend| |createThreeSpace|
- |unitVector| |errorInfo| |top| |intermediateResultsIF| |OMputEndBind|
- |extendedSubResultantGcd| |separant| |corrPoly| |outputFixed|
- |mainCharacterization| |float?| |mathieu24| |continue|
- |indicialEquation| |divideIfCan| |listLoops| |clipParametric|
- |besselY| |mapCoef| |imagE| |aLinear| |laurentRep| |factorials|
- |s20acf| |listYoungTableaus| |groebSolve| |inf| |s13acf| |logical?|
- |ratDsolve| |rightGcd| |rewriteSetByReducingWithParticularGenerators|
- ** |hash| |iiacot| |triangSolve| |expextendedint|
- |nativeModuleExtension| |splitDenominator| |ODESolve| |content|
- |viewWriteDefault| |npcoef| |count| |makeTerm| |cschIfCan| |stirling2|
- |genus| |useSingleFactorBound?| |makeSeries| |changeNameToObjf|
- |sizeMultiplication| |numberOfComposites| |bag| |d02gbf| |exprToXXP|
- |cAcsch| |reverse!| |Beta| |blankSeparate| |getVariableOrder|
- |sizePascalTriangle| |arity| |constant| |lowerCase| |permutations|
- |LazardQuotient| |subscriptedVariables| |clip| |fibonacci| |ceiling|
- |monicDivide| |reduceLODE| |coordinates| |crest| |mantissa|
- |commonDenominator| |tableForDiscreteLogarithm| |mapSolve| |times!|
- |mainMonomials| |UpTriBddDenomInv| |writable?| |e01bff| |power!|
- |root| |infLex?| |s19aaf| |sinhcosh| |slex| |sdf2lst| |sts2stst|
- |uniform| |replaceKthElement| |cosSinInfo| |setrest!| |iicos|
- |fprindINFO| GF2FG |jokerMode| |irreducibleFactors| |inHallBasis?|
- |weights| |s18dcf| |iroot| |resultantEuclidean| |restorePrecision|
- |optAttributes| |closedCurve| |tanAn| |rischDEsys| |augment| |sign|
- |cyclicEntries| |sqfree| |nextNormalPrimitivePoly| |cExp| |substitute|
- |chineseRemainder| |f01qdf| |cAsinh| |makeViewport3D|
- |singularAtInfinity?| |close!| |squareFreePrim| |coordinate| |rur|
- |rightMinimalPolynomial| |f01qef| |distribute| |fractionFreeGauss!|
- |setleft!| |constant?| |identitySquareMatrix| |prindINFO| |adaptive|
- |internalSubPolSet?| |pointLists| |e01bgf| |rootProduct| |c06ebf|
- |ocf2ocdf| |presuper| |d01aqf| |denomLODE| |cLog| |countRealRoots|
- |categories| |f02wef| |wordInGenerators| |kroneckerDelta|
- |getDatabase| |orthonormalBasis| |numer| |escape| |retractIfCan|
- |numberOfFactors| |unit?| |enterPointData| |roughEqualIdeals?|
- |pointSizeDefault| |partialNumerators| |low| |mathieu23| |denom|
- |atanIfCan| |ipow| |listOfMonoms| |e01sff| |constDsolve|
- |currentSubProgram| |ksec| |topPredicate| |unrankImproperPartitions1|
- |rightCharacteristicPolynomial| |quadratic?| |linearlyDependent?|
- |cycleLength| |iitanh| |rightFactorIfCan| |prinpolINFO|
- |subResultantChain| |s17ahf| |pi| |factors| |d02cjf| |typeLists|
- |diag| |ratDenom| |monomial?| |internalInfRittWu?| |radicalSolve|
- |completeHermite| |infinity| |makeFR| |getProperty| |leftFactor|
- |symmetricPower| |concat| |step| |minIndex| |OMgetEndAtp| |bothWays|
- |f04axf| |binomial| |iprint| |adaptive?| |writeLine!| |bits|
- |binaryTournament| |stFunc1| |numFunEvals| |gramschmidt|
- |outputGeneral| |selectMultiDimensionalRoutines| |internalIntegrate|
- |complete| |physicalLength| |bat| |largest| |encodingDirectory|
- |nsqfree| |kernel| |OMconnOutDevice| |enqueue!| |ScanRoman|
- |minColIndex| |sumOfKthPowerDivisors| |formula| |iilog| |exprToGenUPS|
- |cSech| |list| |quatern| |ptree| |resultantReduit| |nullary|
- |tubeRadius| |infieldIntegrate| |swap!| |lhs| |normalizedDivide|
- |deref| |fortranDouble| |positive?| |draw| |tanhIfCan|
- |squareFreeFactors| |abs| |squareMatrix| |clearCache| |arrayStack|
- |rhs| |OMreceive| |isNot| |useEisensteinCriterion?| |logIfCan|
- |clearDenominator| |numberOfMonomials| |d01ajf| |pointPlot|
- |areEquivalent?| |lazyGintegrate| |qqq| |entries| |subHeight|
- |extensionDegree| |linearPart| |sup| |midpoint| |unravel| |currentEnv|
- |nrows| |safeFloor| |changeMeasure| |someBasis| |rightFactorCandidate|
- |rootKerSimp| |makingStats?| |e02bbf| |transcendent?| |fixedDivisor|
- |ncols| |complexEigenvectors| |complexNormalize| |iicot| |rotate!|
- |makeObject| |composite| |vectorise| |eof?| |ScanFloatIgnoreSpaces|
- |coefChoose| |curveColorPalette| |coerceImages| |normalizeAtInfinity|
- |exp1| |coef| |lagrange| |infRittWu?| |primlimitedint| |groebner|
- |pleskenSplit| |f07adf| |patternMatchTimes| |yellow| |c06gsf|
- |readIfCan!| |ode1| |reducedForm| |gcdPolynomial| |lastSubResultant|
- |rootNormalize| |unitNormalize| |iiexp| |traverse| |legendreP|
- |createZechTable| |approxNthRoot| |ode| |setRow!| |karatsubaOnce|
- |invmultisect| |digit?| |shape| |stFuncN| |rk4a| |lieAlgebra?|
- |symbolTableOf| |curve?| |kind| |iisech| |zeroDimPrimary?| |linears|
- |leftRemainder| |anfactor| |inverseLaplace| |rootsOf| |trivialIdeal?|
- |cyclicEqual?| |op| |binaryTree| |modTree| |cyclotomic| |compound?|
- |rootSimp| |kernels| |hex| |gensym| |bandedHessian| |nand| |getCurve|
- |fractRadix| |squareFree| |clearTheIFTable| |univariatePolynomials|
- |cCoth| |minPoints| |operator| |pushdown| |simplifyLog|
- |characteristic| |inrootof| |denomRicDE| |triangular?| |s01eaf|
- |OMputEndError| |lfunc| SEGMENT |nthFlag| |iisqrt3|
- |removeSuperfluousQuasiComponents| |outputAsTex| |showScalarValues|
- |aCubic| |evaluateInverse| |purelyTranscendental?| |satisfy?| |sort|
- |iisqrt2| |shiftRoots| |finiteBasis| |univariate| |hexDigit| |bfKeys|
- |lyndon| |contract| |voidMode| |eigenvectors| |dec| |f07fdf| |pToHdmp|
- |initials| |hexDigit?| |functionIsFracPolynomial?| |zero?|
- |basisOfLeftNucloid| |sinhIfCan| |quasiMonic?| |OMsetEncoding|
- |minimize| |leadingExponent| |mulmod| |union| |brillhartTrials|
- |transform| |updatD| |irCtor| |palgint0| |saturate| |radicalSimplify|
- |factor| |deepCopy| |relationsIdeal| |pdct| |upDateBranches|
- |vedf2vef| |intersect| |cothIfCan| |random| |weakBiRank| |moebiusMu|
- |sqrt| |getOperands| |OMputApp| |zeroOf| |musserTrials|
- |balancedBinaryTree| |rightPower| |polynomialZeros| |comp|
- |schwerpunkt| |cross| |jacobian| |real| |vertConcat|
- |listConjugateBases| |e04dgf| |ellipticCylindrical| |sech2cosh|
- |lazyPseudoDivide| |headAst| |exptMod| |rk4f| |imag| |scaleRoots|
- |super| |properties| |mkAnswer| |toseInvertibleSet| |integralMatrix|
- |Si| |factorList| |copy| |directProduct| |f07fef| |d01akf|
- |OMencodingXML| |realSolve| |domainTemplate| |OMgetSymbol| |translate|
- |pointColor| |iiacsc| |taylorRep| |copies| |OMencodingSGML|
- |var1StepsDefault| |endOfFile?| FG2F |depth| |connect| |s14baf|
- |OMsupportsSymbol?| |principalAncestors| |antiAssociative?|
- |antisymmetric?| |brace| |tanh2trigh| |swap| |definingPolynomial|
- |drawStyle| |po| |monicModulo| |fmecg| |mainKernel| |lepol| |destruct|
- |noKaratsuba| |nonQsign| |complexEigenvalues| |endSubProgram|
- |B1solve| |bumptab| |bernoulli| |outputAsScript| |f07aef| |s21baf|
- |factor1| |match?| |numberOfHues| |solve| |rightOne| |showTheIFTable|
- |bivariatePolynomials| |autoCoerce| |seriesToOutputForm| |reindex|
- |factorsOfDegree| |xn| |arbitrary| |arguments| |mindegTerm| |Ei|
- |subresultantVector| |makeSketch| |nthRootIfCan| |decomposeFunc|
- |elColumn2!| |socf2socdf| |matrixConcat3D| |mapExponents| |exQuo|
- |drawCurves| |selectODEIVPRoutines| |expand| |hypergeometric0F1|
- |scopes| |monomial| |maxrow| |capacity| |critM| |pushucoef| |simpsono|
- |max| |filterWhile| |leftCharacteristicPolynomial|
- |generalizedInverse| |multivariate| |deepExpand| |close| |iiasinh| F
- |nextsubResultant2| |disjunction| |typeList| |filterUntil|
- |clearTheSymbolTable| |halfExtendedResultant2| |variables|
- |updateStatus!| |rightRankPolynomial| |rst| |trunc| |select|
- |dimension| |measure| |csc2sin| |fortranLiteralLine| |display|
- |divisor| |lquo| |slash| |dark| |jordanAlgebra?| |divideIfCan!|
- |mainVariable?| |dot| |trailingCoefficient| |atrapezoidal|
- |inverseIntegralMatrixAtInfinity| |lastSubResultantElseSplit|
- |numberOfFractionalTerms| |convergents| |cAtan|
- |inverseIntegralMatrix| |character?| |mainVariables| |setTopPredicate|
- |firstNumer| |compose| |karatsuba| |predicate| |computeInt| |leftLcm|
- |yCoordinates| |mergeFactors| |Hausdorff| |functionIsOscillatory|
- |selectOptimizationRoutines| |debug| |taylor| |modularGcd|
- |matrixDimensions| |algebraicCoefficients?| |complexIntegrate|
- |nthExpon| |cn| |getMeasure| |intPatternMatch| |tanIfCan| D |laurent|
- |input| |imagk| |bitTruth| |nextPrime| |cAcot| |shade| |iiperm|
- |exteriorDifferential| |compdegd| |puiseux| |library| |e02agf|
- |f04mbf| |ip4Address| |rational| EQ |extractProperty| |pole?| |lex|
- |constantKernel| |groebner?| |localUnquote| |invertibleSet| |d02kef|
- |controlPanel| |branchPoint?| |iisinh| |sPol| |inv| |s17akf|
- |OMgetString| |createPrimitiveElement| |status| |perfectNthRoot|
- |OMgetInteger| |powerAssociative?| |host| |iteratedInitials| |ground?|
- |symmetricProduct| |coefficients| |edf2fi| |reopen!| |reducedQPowers|
- |subResultantsChain| |remove!| |sncndn| |initTable!| |ground| |set|
- |addmod| |sorted?| |singRicDE| |readInt8!| |curve| |in?|
- |lieAdmissible?| |region| |minrank| |leadingMonomial| |e04naf|
- |UnVectorise| |factorPolynomial| |lfextendedint| |clipSurface|
- |selectFiniteRoutines| |removeConstantTerm| |s15adf| |repeating?|
- |leadingCoefficient| |parameters| |c06gcf| |sparsityIF| |listOfLists|
- |getMultiplicationMatrix| |subset?| |size| |enterInCache| |bitLength|
- |acotIfCan| |derivative| |primitiveMonomials| |f01brf| |minPoly|
- |clearTable!| |simplifyPower| |diagonal?| |ratPoly| |fracPart|
- |getConstant| |lazy?| |print| |reductum| |before?| |mainContent|
- |substring?| |printInfo!| |primitive?| |factorSquareFreePolynomial|
- |listRepresentation| |setAdaptive| |oblateSpheroidal|
- |fillPascalTriangle| |resolve| |nextColeman| |e02ajf| |GospersMethod|
- |returnType!| |leadingCoefficientRicDE| LODO2FUN |doubleComplex?|
- |determinant| |ramifiedAtInfinity?| |logpart| |powerSum| |readBytes!|
- |sylvesterMatrix| |characteristicPolynomial| |unexpand| |suffix?|
- |true| |pmintegrate| |ParCond| |category| |moduloP| |littleEndian|
- |exists?| |surface| |cSec| |semiResultantEuclidean1| |domain|
- |tValues| |functorData| |quasiComponent| |companionBlocks| |mainForm|
- |optional| |semiResultantEuclideannaif| |is?| |cAtanh| |OMgetEndAttr|
- |e02def| |external?| |iFTable| |isTimes| |prefix?| |d01bbf| |f01mcf|
- |package| |eigenvector| |any?| |leftOne| |s19abf|
- |rightRegularRepresentation| |insert| |computePowers|
- |increasePrecision| |completeEchelonBasis| |divisorCascade|
- |resultantnaif| |OMgetVariable| |clipWithRanges| |cosh2sech|
- |removeCoshSq| |just| |show| |dmpToP| |lazyEvaluate| |s15aef| |polar|
- |iiasec| |hostPlatform| |irDef| |writeInt8!| |tan2cot| |search| |frst|
- |redmat| |c06eaf| |cyclic?| |topFortranOutputStack| |llprop| |zoom|
- |node| |initializeGroupForWordProblem| |numberOfCycles| |rischDE|
- |checkRur| |trace| |mpsode| |LyndonWordsList| |lyndonIfCan| |hdmpToP|
- |definingInequation| |returns| |OMputBind| |iiatanh| |subPolSet?|
- |leftDiscriminant| |LiePolyIfCan| |extendedint| |diff| |Lazard2|
- |birth| |minPoints3D| |resetVariableOrder| |comparison| |e02ddf|
- |coth2trigh| |reduceBasisAtInfinity| |mapMatrixIfCan| |infix?|
- |setvalue!| |getMultiplicationTable| |wordInStrongGenerators|
- |explicitlyEmpty?| |doubleRank| |drawComplex| |null?| |OMputError|
- |critMTonD1| |mask| |limitedint| |rspace| |c06frf| |selectPDERoutines|
- |sequences| |exportedOperators| |distdfact| |addMatchRestricted|
- |leftQuotient| |flatten| |hasoln| |swapRows!| |conditionP|
- |setIntersection| |internalZeroSetSplit| |innerSolve| |element?|
- |setAdaptive3D| |generalInfiniteProduct| |acschIfCan|
- |interpretString| |elliptic?| |OMgetAttr| |showAllElements|
- |generalSqFr| |bounds| |sumSquares| |basisOfLeftAnnihilator|
- |continuedFraction| |e02daf| |isQuotient| |nary?| |s13adf| |cycles|
- |makeFloatFunction| |selectsecond| |se2rfi| |algDsolve| |decrease|
- |nextSubsetGray| |f04adf| |generalTwoFactor| |goodPoint|
- |numberOfComponents| |lfinfieldint| |viewThetaDefault| |palgRDE0|
- |internalAugment| |reflect| |addMatch| |isExpt| |alphabetic|
- |dihedral| |medialSet| |critMonD1| |besselI| |calcRanges|
- |lflimitedint| |qfactor| |figureUnits| |enumerate|
- |numericalIntegration| |principalIdeal| |tRange| |commutative?|
- |geometric| |directory| |componentUpperBound| |sub| |createNormalPoly|
- |chiSquare| |bytes| |dictionary| |complexLimit| |deriv| |badValues|
- |conjugate| |internal?| |taylorQuoByVar| |getIdentifier| |UP2ifCan|
- |s17acf| |nodes| |height| |units| |log10| |fullPartialFraction|
- |findBinding| |selectAndPolynomials| |normalForm| |palgRDE|
- |parametersOf| |selectOrPolynomials| |equation| |hspace|
- |bipolarCylindrical| |normalDenom| |shallowExpand| |kmax| |bitand|
- |atanhIfCan| |setref| |f02agf| |s17dhf| |iCompose| |wholePart|
- |infieldint| |commaSeparate| |semiDegreeSubResultantEuclidean|
- |leaves| |palgLODE| |outerProduct| |elem?| |bitior| |ddFact|
- |ridHack1| |particularSolution| |linear| |messagePrint|
- |setProperties| |c05adf| |exponential1| |rangeIsFinite| |shiftRight|
- |find| |maximumExponent| |makeSin| |kovacic| |algebraicVariables|
- |stiffnessAndStabilityOfODEIF| |cRationalPower| |stronglyReduced?|
- |stirling1| |macroExpand| |denominators| |internalIntegrate0|
- |fortranDoubleComplex| |interReduce| |solveInField| |polynomial|
- |composites| |laguerreL| |leftAlternative?| |startStats!| |Lazard|
- |comment| |closeComponent| |rischNormalize| |groebnerFactorize|
- |reduction| |minimumExponent| |zeroSetSplitIntoTriangularSystems|
- |center| |exponents| |size?| |parent| |idealSimplify| |patternMatch|
- |irVar| |octon| |changeVar| |padicFraction| |setchildren!| |f02bbf|
- |edf2ef| |c06ekf| |setTex!| |dualSignature| |graphState|
- |euclideanSize| |f04qaf| |imagJ| |rule| |doublyTransitive?| |declare|
- |asimpson| |iicsch| |key?| |sizeLess?| |makeVariable| |callForm?|
- |att2Result| |antiCommutator| |common| |normal01| |cCsch|
- |zeroDimPrime?| |reseed| |point?| |drawToScale| |space|
- |measure2Result| |length| |viewSizeDefault| |green| |check|
- |totalfract| |lifting1| |associatorDependence| |algebraicOf|
- |asinIfCan| |cyclotomicFactorization| |lexGroebner| |scripts|
- |leftDivide| |d01fcf| |weierstrass| |coth2tanh| |sort!|
- |stopTableInvSet!| |reorder| |setPoly| |principal?| |discriminant|
- |twist| |lazyVariations| |iidprod| |mainMonomial| |lookup|
- |createNormalPrimitivePoly| |submod| |tableau| |purelyAlgebraic?|
- |matrix| |monomRDEsys| |normalise| |lazyIntegrate| |characteristicSet|
- |baseRDEsys| |norm| |bigEndian| |rangePascalTriangle| |variable?|
- |integer?| |isAbsolutelyIrreducible?| |applyRules| |s21bcf|
- |selectSumOfSquaresRoutines| |subQuasiComponent?| UTS2UP |scripted?|
- |s14aaf| |generalizedEigenvectors| |e02dff| |f04asf|
- |exprHasAlgebraicWeight| |weighted| |pop!| |splitLinear| |tanNa|
- |stoseLastSubResultant| Y |cyclicParents| |edf2efi| |poisson|
- |normFactors| |goto| |readByte!| |unmakeSUP| |label| |implies| |imagI|
- |central?| |algintegrate| |putColorInfo| |generalPosition| |d01gbf|
- |selectIntegrationRoutines| |SturmHabichtMultiple| |polyPart|
- |mainVariable| |subspace| |cycle| |algSplitSimple| |basicSet|
- |viewZoomDefault| |digit| |bipolar| |startPolynomial| |quasiRegular?|
- |irForm| |extractTop!| |getZechTable| |setStatus| |univcase| |invmod|
- |quasiMonicPolynomials| |result| |bezoutMatrix| |rectangularMatrix|
- |expenseOfEvaluation| |positiveRemainder| |knownInfBasis| |recolor|
- |idealiserMatrix| |associates?| |rightScalarTimes!| |alphanumeric|
- |palgextint0| |bubbleSort!| |minimalPolynomial| |expt| |unitCanonical|
- |laplace| |cyclicSubmodule| |BumInSepFFE| |numeric| |inverse|
- |symbol?| |setOrder| |s17adf| |rename| |getlo|
- |generalizedContinuumHypothesisAssumed?| |coerceP| |symFunc|
- |fortranInteger| |radical| |cycleTail| |odd?| |integers| |concat!|
- |constructor| |zag| |writeBytes!| |subscript| |copyInto!|
- |conjunction| |nthCoef| |primextendedint| |partialDenominators|
- |newReduc| |myDegree| |constantOperator| |bindings| |option| |coord|
- |mappingMode| |froot| |symbolTable| |showSummary| |e04ucf| |zCoord|
- |mainDefiningPolynomial| |fortranCompilerName| |difference|
- |setLength!| |xCoord| |antisymmetricTensors| |transpose| |rightUnits|
- |shallowCopy| |stFunc2| |computeCycleEntry| |meshPar1Var| |pushup|
- |branchIfCan| |e01saf| |exprHasWeightCosWXorSinWX|
- |pushFortranOutputStack| |primaryDecomp| |showAttributes| |commutator|
- |coercePreimagesImages| |makeMulti| |makeop| |iflist2Result|
- |makeRecord| |scale| |cfirst| |popFortranOutputStack| |trapezoidalo|
- |qinterval| |baseRDE| |addiag| |overlap|
- |removeRoughlyRedundantFactorsInPol| |screenResolution| |localReal?|
- |outputAsFortran| |alternatingGroup| |diagonals| |rightDiscriminant|
- |leadingSupport| |OMgetEndObject| |name| |parents| |nonLinearPart|
- |compiledFunction| |explimitedint| |selectPolynomials|
- |radicalOfLeftTraceForm| |f02fjf| |variationOfParameters| |rightTrim|
- |semiResultantReduitEuclidean| |fractionPart| |body| |inR?|
- |mainPrimitivePart| |approxSqrt| |linSolve| |homogeneous?|
- |attributeData| |putProperty| |leftTrim| |call| |setMinPoints3D|
- |null| |pushuconst| |iidsum| |flexible?| |evaluate| |binomThmExpt|
- |stack| |makeEq| |extractSplittingLeaf| |differentialVariables|
- |isEquiv| |rowEch| |not| |drawComplexVectorField| |badNum| |mvar|
- |rk4| BY |Ci| |viewDeltaXDefault| |rotatey| |bombieriNorm| |s14abf|
- |and| |dAndcExp| |OMputEndAttr| |complexElementary| |zeroMatrix|
- |outputList| |intChoose| |infix| |insertTop!| |retractable?| |or|
- |henselFact| |innerint| |elseBranch| |red| |branchPointAtInfinity?|
- |gderiv| |ef2edf| |subSet| |bezoutDiscriminant| |xor| |safeCeiling|
- |cartesian| |removeDuplicates!| |stopTableGcd!| |modifyPoint|
- |cyclotomicDecomposition| |LagrangeInterpolation| |withPredicates|
- |ReduceOrder| |signature| |dim| |case| |quadratic| |leftPower|
- |leftFactorIfCan| |pseudoQuotient| |assert| |multMonom| |epilogue|
- |readInt32!| |port| |qualifier| |e02bcf| |extractPoint| |pattern|
- |Zero| |exactQuotient!| |yCoord| |OMReadError?| |fixedPointExquo|
- |weight| |iExquo| |linearAssociatedOrder| |scan| |pascalTriangle|
- |overset?| |One| |gradient| |setLabelValue| |lighting|
- |nextPrimitivePoly| |members| |checkForZero| |complement| |t|
- |subNode?| |fill!| |tan2trig| |shift| |setEmpty!| NOT
- |resetAttributeButtons| |hasTopPredicate?| |traceMatrix| |innerSolve1|
- |shellSort| |output| |sequence| |ideal| |thetaCoord|
- |leftMinimalPolynomial| |divideExponents| |e02ahf| |mapDown!| OR
- |simplify| |vector| |equality| |clearTheFTable| |leader| |indices|
- |binaryFunction| |startTableInvSet!| |normalElement| |elRow2!| |cTanh|
- |message| AND |setPredicates| |differentiate| |partialQuotients|
- |htrigs| |discriminantEuclidean| |subTriSet?| |normDeriv2| |seed|
- |subtractIfCan| |whitePoint| |totolex| |leviCivitaSymbol| |rightZero|
- |getCode| |complex?| |packageCall| |fortran| |atanh| |e04fdf| |nthr|
- |shufflein| |oddInfiniteProduct| |exponential| |stronglyReduce| |elt|
- |shuffle| |raisePolynomial| |processTemplate| |removeDuplicates|
- |curry| |acoth| |readUInt8!| |lllp| |minGbasis| |component| |sin?|
- |groebgen| |squareTop| |elRow1!| |ptFunc| |graeffe| |reduced?| |asech|
- |level| |conjugates| |definingEquations| |physicalLength!| |s17dlf|
- |newLine| |partition| |orbits| |dn| |LiePoly| |property| |univariate?|
- |dmpToHdmp| |csch2sinh| |brillhartIrreducible?| |getStream|
- |lowerPolynomial| |optional?| |ldf2lst| |basisOfRightAnnihilator|
- |factorFraction| |quote| |sinIfCan| |multiple| |cons| |bringDown|
- |routines| |ffactor| |contours| |linearDependence| |probablyZeroDim?|
- |palgextint| |palglimint0| |trigs2explogs| |OMgetAtp|
- |removeRedundantFactors| |applyQuote| |basisOfCentroid| |chvar|
- |palglimint| |cond| |fortranCharacter| |Is| |maxRowIndex| |retract|
- |initiallyReduce| |abelianGroup| |certainlySubVariety?| |romberg|
- |selectfirst| |adjoint| |empty?| |mkPrim| |setUnion| |divergence|
- |colorDef| |untab| |compBound| |reduceByQuasiMonic|
- |numberOfOperations| |multisect| |unit| |wronskianMatrix| |expint|
- |roughSubIdeal?| |setStatus!| |acothIfCan| |second| |infiniteProduct|
- * |constantIfCan| |meshFun2Var| |euler| |leftRegularRepresentation|
- |totalGroebner| |ruleset| |setErrorBound| |normalDeriv|
- |tryFunctionalDecomposition| |univariatePolynomialsGcds| |fortranReal|
- |genericLeftTraceForm| |third| |outputBinaryFile| |totalLex| |dmp2rfi|
- |subResultantGcd| |OMputFloat| |ListOfTerms| |testDim| |OMUnknownCD?|
- |zeroDimensional?| |collectUpper| |showFortranOutputStack| |divisors|
- |univariatePolynomial| |btwFact| |expandLog| |pile|
- |mainSquareFreePart| |source| |void| |iisec| |hermite| |isMult|
- |subResultantGcdEuclidean| |moebius| |internalLastSubResultant| =
- |eyeDistance| |s17dcf| |hconcat| |useNagFunctions| |laguerre|
- |suchThat| |edf2df| |imagj| |rotatex| |rroot| |reciprocalPolynomial|
- |divide| |integralBasisAtInfinity| |createLowComplexityNormalBasis|
- |OMgetEndApp| |compactFraction| |curryRight| |script| |elliptic|
- RF2UTS |iiacosh| |diagonalProduct| |getExplanations|
- |rewriteSetWithReduction| < |plotPolar| |upperBound| |algebraic?|
- |writeUInt8!| |leaf?| |plusInfinity| |d02gaf| |cyclePartition|
- |completeEval| |exprex| |sincos| |graphCurves| |char| > |viewDefaults|
- |sumOfDivisors| |resetBadValues| |crushedSet| |argscript|
- |systemCommand| |minusInfinity| |halfExtendedResultant1|
- |squareFreePolynomial| |linear?| |hitherPlane| |fortranLiteral|
- |even?| |numberOfIrreduciblePoly| |polygamma| <= |nlde|
- |tensorProduct| |quartic| |tex| |target| |biRank| |repeatUntilLoop|
- |patternVariable| |minimumDegree| |deleteProperty!|
- |purelyAlgebraicLeadingMonomial?| |singularitiesOf| >= |discreteLog|
- |userOrdered?| |elaborate| |expintfldpoly| |degreePartition| |cAsech|
- |legendre| |euclideanGroebner| |coHeight| |isOp| |showTheSymbolTable|
- |expr| |factorSquareFreeByRecursion| |duplicates?| |mergeDifference|
- |irreducibleFactor| |goodnessOfFit| |gcdcofactprim| |lyndon?|
- |finite?| |monicDecomposeIfCan| |f02aef| |normal| |quotient|
- |reverseLex| |expintegrate| |charClass| |readLineIfCan!|
- |prolateSpheroidal| |sqfrFactor| |infinite?| UP2UTS |OMputSymbol|
- |semiSubResultantGcdEuclidean2| |integralRepresents| |tanintegrate|
- |FormatArabic| + |OMgetBVar| |toseLastSubResultant| |light|
- |sylvesterSequence| |type| |createIrreduciblePoly|
- |stoseIntegralLastSubResultant| |scalarTypeOf| |boundOfCauchy|
- |dequeue| |nodeOf?| |iiacsch| |point| - |float| |whileLoop|
- |Frobenius| |iicsc| |polyRicDE| |eigenMatrix| |radicalRoots|
- |modularFactor| |harmonic| |qroot| |variable| |problemPoints| /
- |charpol| |adaptive3D?| |invertibleElseSplit?| |cos2sec| |lllip|
- |dimensions| |bivariate?| |toseInvertible?| |asinhIfCan| |iterators|
- |randomR| |completeHensel| |palgintegrate| |rightAlternative?| |mesh|
- |f2df| |noncommutativeJordanAlgebra?| |SturmHabicht| |mapExpon|
- |newSubProgram| |cubic| |symmetricGroup| |series|
- |fortranCarriageReturn| |isOpen?| |c06fuf| |column| |setCondition!|
- |preprocess| |nilFactor| |signAround| |rootOfIrreduciblePoly|
- |quotedOperators| |setFormula!| |contains?| |sturmSequence|
- |chainSubResultants| |deleteRoutine!| |shiftLeft| |basisOfLeftNucleus|
- |e02akf| |id| |setlast!| |subNodeOf?| |high| |createRandomElement|
- |powern| |value| |numberOfChildren| |makeGraphImage| |symbol|
- |lambert| |radicalEigenvalues| |integralLastSubResultant|
- |binarySearchTree| |lo| |e01daf| |setAttributeButtonStep|
- |RittWuCompare| |changeName| |minordet| |basisOfCommutingElements|
- |iibinom| |OMgetObject| |linearAssociatedLog| |expression|
- |irreducibleRepresentation| |min| |numberOfImproperPartitions|
- |functionIsContinuousAtEndPoints| |splitNodeOf!| |f01maf|
- |maxColIndex| |cylindrical| |optpair| |lprop| |integer| |acscIfCan|
- |radPoly| |normalizedAssociate| |module| GE |trace2PowMod| |OMreadStr|
- |cup| |scanOneDimSubspaces| |associative?| |localAbs|
- |separateDegrees| |normal?| |iisin| |OMopenString| |leftExtendedGcd|
- GT |innerEigenvectors| |makeResult| |semicolonSeparate|
- |lastSubResultantEuclidean| |extendedIntegrate|
- |firstUncouplingMatrix| |OMwrite| |pade| |zeroSquareMatrix|
- |leftTraceMatrix| LE |systemSizeIF| |isPlus| |parabolic|
- |monomialIntegrate| |alphanumeric?| |d02raf| |rightNorm| |extend|
- |omError| |deepestInitial| LT |appendPoint| |defineProperty|
- |OMmakeConn| |quasiRegular| |unknownEndian| |nextNormalPoly|
- |FormatRoman| |digamma| |useSingleFactorBound| |tubeRadiusDefault|
- |removeIrreducibleRedundantFactors| |pseudoRemainder|
- |localIntegralBasis| |besselK| |list?| |f02ajf| |OMgetEndError|
- |leastPower| |integral| |mapmult| |basisOfRightNucleus| |setImagSteps|
- |leadingIdeal| |padicallyExpand| |iomode| |makeUnit| |ord| |credPol|
- |f01rcf| |factorAndSplit| |keys| |OMputVariable| |stopTable!| |s17aef|
- |rubiksGroup| |represents| |firstSubsetGray| |findConstructor|
- |symmetricTensors| |d03faf| |writeByte!| |OMputBVar| |one?| |revert|
- |bernoulliB| |rombergo| |morphism| |mainValue| |isAtom| |currentScope|
- |index| |nextPartition| |showTheRoutinesTable| |lexico|
- |OMencodingUnknown| |df2st| |digits| |charthRoot| |realZeros|
- |exactQuotient| |superscript| |rewriteIdealWithHeadRemainder| |airyBi|
- |alternative?| |OMParseError?| |perfectNthPower?| |psolve|
- |leadingBasisTerm| |direction| |distFact| |quoByVar| |leadingIndex|
- |stoseInvertibleSet| |zeroDim?| |radicalEigenvector| |isConnected?|
- |OMputAttr| |mapGen| |triangulate| |pair| |twoFactor| |upperCase|
- |tree| |open| |e04gcf| |redpps| |gcdPrimitive| |extendIfCan|
- |leftNorm| |f02abf| |bright| |generalizedContinuumHypothesisAssumed|
- |coerceS| |s18def| |extract!| |genericRightDiscriminant| |loopPoints|
- |primextintfrac| |components| |consnewpol| |resultantReduitEuclidean|
- |cap| |leftRankPolynomial| |hasPredicate?| |integralBasis| |unary?|
- |setFieldInfo| |primPartElseUnitCanonical| |perspective| |aromberg|
- |eval| |possiblyNewVariety?| |bumprow| |getPickedPoints| |cCosh|
- |antiCommutative?| |rightMult| |roughUnitIdeal?| |rootRadius|
- |OMputEndBVar| |relerror| |changeWeightLevel| |normalizeIfCan|
- |operations| |d01gaf| |associator| |roman| |rootPoly| |refine|
- |exprHasLogarithmicWeights| |lifting| |iterationVar| |addPoint2|
- |sample| |jordanAdmissible?| |quadraticNorm| |order| |interpret|
- |strongGenerators| |diagonal| |error| |leftMult| |bivariateSLPEBR|
- |d02bbf| |intensity| |pquo| |roughBasicSet| |var2Steps|
- |extendedResultant| |splitConstant| |OMcloseConn| |countable?| |df2fi|
- |mkcomm| |copy!| |cAcsc| |prod| |plot| |quasiAlgebraicSet| |optimize|
- |approximants| |prologue| |removeRedundantFactorsInContents|
- |bumptab1| |precision| |children| |function| |OMputEndObject|
- |numericalOptimization| |ParCondList| |range| |ScanArabic| |redPol|
- |pmComplexintegrate| |LowTriBddDenomInv| |sec2cos| |moreAlgebraic?|
- |firstDenom| |leftZero| |removeSinhSq| |f02aff| |showAll?|
- |rationalIfCan| |pointColorDefault| |d01apf| |OMbindTCP| |width|
- |resize| |hdmpToDmp| |semiSubResultantGcdEuclidean1| |normalized?|
- |e02adf| |semiLastSubResultantEuclidean| |evenInfiniteProduct| |rules|
- |numberOfVariables| |double| |nil?| |repeating| |df2ef| |number?|
- |build| |perfectSqrt| |unparse| |rowEchelon| |sortConstraints|
- |createPrimitiveNormalPoly| |commutativeEquality| |solveid|
- |integralCoordinates| |complexExpand| |shanksDiscLogAlgorithm|
- |insertionSort!| |virtualDegree| |prem| |alphabetic?| |delete!|
- |constantRight| |s20adf| |nullSpace| |ode2| |setButtonValue| |f04jgf|
- |nextItem| |rationalFunction| |clipBoolean| |mainCoefficients|
- |symmetric?| |solveLinearPolynomialEquationByRecursion|
- |axesColorDefault| |extractBottom!| |maxPoints| |checkPrecision| |mr|
- |critpOrder| |cSin| |stiffnessAndStabilityFactor|
- |stoseInvertible?sqfreg| |seriesSolve| |bandedJacobian|
- |sturmVariationsOf| |youngDiagram| |pomopo!| |floor| |rightRecip|
- |over| |dimensionOfIrreducibleRepresentation| |squareFreePart|
- |iicosh| |degreeSubResultantEuclidean| |tubePoints| |setMaxPoints3D|
- |pureLex| |rational?| |subst| |rem| |representationType| |OMputString|
- |cSinh| |d02bhf| |tracePowMod| |explicitEntries?| |middle|
- |generalLambert| |wholeRagits| |monomRDE| |primeFactor| |quo|
- |integrate| |OMclose| |decompose| |mainExpression| |declare!|
- |varList| |backOldPos| |factorByRecursion| |axes| |OMgetBind| |recip|
- |fixedPoints| |collectQuasiMonic| |basis| |initiallyReduced?|
- |member?| |lcm| |OMputObject| |modulus| |maxdeg| |linearMatrix|
- |permutationRepresentation| |delete| |div| |cyclicGroup| |debug3D|
- |e01sbf| |wholeRadix| |cardinality| |freeOf?| |inRadical?| |imagK|
- |toroidal| |indicialEquationAtInfinity| |exquo| |oneDimensionalArray|
- |scalarMatrix| |stoseInternalLastSubResultant| |hostByteOrder|
- |regime| |any| |forLoop| |cTan| |append| |laurentIfCan| |setprevious!|
- |matrixGcd| ~= |roughBase?| |aQuadratic| |dioSolve| |whatInfinity|
- |colorFunction| |primitivePart!| |mapUp!| |insertBottom!| |flagFactor|
- |gcd| |vark| |wordsForStrongGenerators| |objects| |#| |rootSplit|
- |s21bdf| |jacobiIdentity?| |lazyPseudoQuotient| |plenaryPower|
- |KrullNumber| |eq?| |moduleSum| |expPot| |false| |gethi|
- |normInvertible?| |base| ~ |lowerCase?| |rotate| |e02baf|
- |superHeight| |elaboration| |OMputEndApp| |cCsc| |radicalEigenvectors|
- |rationalPoint?| |cyclicCopy| |ravel| |randnum| |printingInfo?|
- |factorOfDegree| |parametric?| |OMread| |segment| |part?| |cCot|
- |minRowIndex| |nthFactor| |elements| |init| |vspace| |solveRetract|
- |every?| |expIfCan| |reshape| |minset| |frobenius|
- |basisOfMiddleNucleus| |prepareSubResAlgo| |asechIfCan|
- |factorSquareFree| |/\\| |factorGroebnerBasis| |sechIfCan|
- |possiblyInfinite?| |monicRightFactorIfCan| |rquo| |less?| |imagi|
- |setfirst!| |imports| |tanh2coth| |\\/| |computeCycleLength|
- |secIfCan| |recur| |const| |regularRepresentation| |apply| |coerce|
- |polarCoordinates| |dfRange| |isPower| |monicLeftDivide| |cycleEntry|
- |euclideanNormalForm| |s21bbf| |specialTrigs| |viewpoint|
- |fullDisplay| |first| |construct| |OMencodingBinary| |binary|
- |directSum| |solid| |stoseInvertibleSetreg| |infinityNorm| |root?|
- |genericLeftMinimalPolynomial| |transcendentalDecompose| |totalDegree|
- |rest| |postfix| |e02zaf| |headReduced?| |leftUnits| |zeroSetSplit|
- |nonSingularModel| |remainder| |degree| |plus| |OMserve| |acosIfCan|
- |update| |terms| |nextPrimitiveNormalPoly| |chebyshevU|
- |numberOfDivisors| |rarrow| |option?| |bat1| |c06ecf| |e01sef|
- |besselJ| |partialFraction| |curveColor| |categoryMode| |pToDmp|
- |hasHi| |setnext!| |tryFunctionalDecomposition?| |e02bdf|
- |characteristicSerie| |has?| |realEigenvectors| |leftReducedSystem|
- |s17ajf| |var1Steps| |unitsColorDefault| |cAcosh| |trapezoidal|
- |reify| |failed?| |modifyPointData| |times| |exprToUPS| |push|
- |removeSinSq| |realElementary| |unaryFunction| |previous| |delta|
- |leftTrace| |lowerBound| |d03edf| |supDimElseRittWu?| |integerIfCan|
- |typeForm| |removeRoughlyRedundantFactorsInContents|
- |exponentialOrder| |inGroundField?| |toScale| |cdr|
- |rightExactQuotient| |setEpilogue!| |associatedEquations|
- |constantOpIfCan| |s17aff| |position| |palginfieldint| |bfEntry|
- |argumentListOf| |setProperty| |equiv| |atoms| |removeSquaresIfCan|
- |elementary| |zerosOf| |prepareDecompose| |datalist| |lift| |rk4qc|
- |conjug| |minPol| |relativeApprox| |complexRoots| |listexp|
- |inputOutputBinaryFile| |real?| |box| |testModulus| |cotIfCan|
- |OMputEndAtp| |monom| |reduce| |rightRank| |identityMatrix| |s17dgf|
- |outputForm| |OMconnectTCP| |polygon| |skewSFunction| |findCycle|
- |ScanFloatIgnoreSpacesIfCan| |node?| |stosePrepareSubResAlgo|
- |loadNativeModule| |collect| |printTypes|
- |setLegalFortranSourceExtensions| |power| |setleaves!| |accuracyIF|
- |airyAi| |numerators| |clipPointsDefault| |numberOfPrimitivePoly|
- |denominator| |RemainderList| |countRealRootsMultiple| |extractIfCan|
- |rightTraceMatrix| |predicates| |getMatch| |removeSuperfluousCases|
- |paren| |unitNormal| |removeZeroes| |indiceSubResultantEuclidean|
- |setOfMinN| |extendedEuclidean| |simplifyExp| |c06fpf| |chebyshevT|
- |complementaryBasis| |coerceL| |lambda| |e04ycf| |prefixRagits|
- |genericLeftDiscriminant| |csubst| |e01bef| |rank| |identification|
- |nullary?| |separateFactors| |OMputInteger| |orbit| |c06gbf|
- |subresultantSequence| |create3Space| |monicCompleteDecompose|
- |OMconnInDevice| |log| |mightHaveRoots| |createNormalElement|
- |gcdcofact| |setScreenResolution3D| |lazyPrem| |factorSFBRlcUnit|
- |child| |mat| |genericLeftNorm| |setPosition| |setelt| |linGenPos|
- |notelem| |lexTriangular| |lSpaceBasis| |cscIfCan| |contractSolve|
- |returnTypeOf| |partitions| |headReduce| |numFunEvals3D| |isImplies|
- |showIntensityFunctions| |cAcos| |algebraicDecompose| |iiasech|
- |stoseInvertibleSetsqfreg| |inspect| |monomials| |df2mf|
- |indiceSubResultant| |OMgetError| |linearAssociatedExp| |setRealSteps|
- |nthFractionalTerm| |double?| |SturmHabichtCoefficients| |plus!|
- |cot2tan| |iiGamma| |makeSUP| |back| |eulerE| |anticoord|
- |removeCosSq| |iicoth| |points| |factorial| |parabolicCylindrical|
- |generalizedEigenvector| |unvectorise| |showTheFTable| |getProperties|
- |var2StepsDefault| |randomLC| |HermiteIntegrate| |lfextlimint|
- |palgLODE0| |conical| |solveLinear| |stopMusserTrials| |multiple?|
- |solveLinearPolynomialEquation| |byte| |lists| |paraboloidal| |iiacos|
- |fi2df| |critB| |primitiveElement| |karatsubaDivide| |c06fqf|
- |OMUnknownSymbol?| |conditionsForIdempotents|
- |unprotectedRemoveRedundantFactors| |getOrder| |opeval| |cAcoth| |row|
- |iiabs| |swapColumns!| |erf| |setright!| |ignore?| |setVariableOrder|
- |constantLeft| |zero| |lintgcd| |An| |reverse| |startTable!| |dflist|
- |readUInt16!| |cAsin| |empty| |LazardQuotient2| |readLine!| |schema|
- |lineColorDefault| |perfectSquare?| |getRef| |noLinearFactor?|
- |singular?| |critBonD| |algebraicSort| |genericRightMinimalPolynomial|
- |li| |rootPower| |universe| |multiset| |doubleFloatFormat| |And|
- |f02xef| |unknown| |squareFreeLexTriangular| |f04mcf| |s19acf|
- |cosIfCan| |dilog| |setColumn!| |removeRedundantFactorsInPols| |mesh?|
- |OMgetEndBVar| |Or| |quoted?| |hermiteH| |rootDirectory| |cycleElt|
- |f02akf| |iiasin| |mindeg| |sin| |extension| |choosemon| |addPoint|
- |viewport3D| |Not| |primlimintfrac| |critT| |Nul| |move| |e02aef|
- |ricDsolve| |cos| |iipow| |stripCommentsAndBlanks| |complexZeros|
- |extractClosed| |symmetricRemainder| |genericLeftTrace| |int|
- |linkToFortran| |positiveSolve| |singleFactorBound| |f02axf| |tan|
- |modularGcdPrimitive| |lfintegrate| |coshIfCan| |bit?| |summation|
- |maxint| |rightRemainder| |viewPosDefault| |cot| |mathieu22| |primes|
- |linearPolynomials| |nextSublist| |dequeue!| |rightExtendedGcd|
- |replace| |prinb| |listBranches| |sec| |tubePlot|
- |useEisensteinCriterion| |mathieu11| |assign| |blue| |pdf2df|
- |externalList| |lazyIrreducibleFactors| |inverseColeman| |csc|
- |cycleSplit!| |primintegrate| |trigs| |coleman| |basisOfNucleus|
- |HenselLift| |readInt16!| |asin| |bezoutResultant| |test| |read!|
- |addBadValue| |Aleph| |operation| |mapUnivariate| |remove| |pack!|
- |removeZero| |fortranLinkerArgs| |inconsistent?| |acos| |errorKind|
- |atom?| |argumentList!| |getBadValues| |unrankImproperPartitions0|
- |c02aff| |distance| |setMaxPoints| |cycleRagits| |atan|
- |absolutelyIrreducible?| |sn| |d01anf| |expandTrigProducts| |parts|
- |pseudoDivide| |last| |makeViewport2D| |makeCos| |changeBase|
- |nthExponent| |OMgetEndBind| |acot| |leftRecip| |open?| |assoc|
- |s17agf| |semiDiscriminantEuclidean| |create| |fTable| |queue| |asec|
- |primintfldpoly| |supRittWu?| |mappingAst| |condition| |tower|
- |fractRagits| |balancedFactorisation| |doubleDisc| |prevPrime|
- |fixedPoint| |aQuartic| |acsc| |constantToUnaryFunction|
- |createMultiplicationMatrix| |explicitlyFinite?| |coefficient|
- |symmetricSquare| |d01asf| |structuralConstants| |prefix| |sin2csc|
- |resultant| |sinh| |square?| |basisOfCenter| |rightUnit| |powmod|
- |mathieu12| |subCase?| |evenlambert| |cosh| |computeBasis|
- |outputMeasure| |rightTrace| |d02ejf| |index?| |decimal|
- |recoverAfterFail| |standardBasisOfCyclicSubmodule| |allRootsOf| |obj|
- |tanh| |s13aaf| |eq| |maxIndex| |oddintegers| |f04arf| |generic?|
- |solveLinearPolynomialEquationByFractions| |c05nbf| |rightLcm|
- |getSyntaxFormsFromFile| |cache| |coth| |iter| |pointData| |polCase|
- |showArrayValues| |ramified?| |complexNumeric| |uncouplingMatrices|
- |halfExtendedSubResultantGcd2| |getOperator| |prime|
- |lazyPremWithDefault| |truncate| |sech| |f04atf| |iiatan|
- |stoseInvertible?| |incrementKthElement| |multiEuclideanTree|
- |tubePointsDefault| |f02adf| |s18acf| |derivationCoordinates| |d03eef|
- |csch| |polyRDE| |belong?| |limitPlus| |split| |getGraph| |solve1|
- |printHeader| |totalDifferential| |semiResultantEuclidean2| |asinh|
- |putGraph| |numberOfComputedEntries| |pow| |top!| |split!| |heapSort|
- |rootOf| |algint| |s18aff| |collectUnder| |oddlambert| |acosh|
- |overlabel| |mix| |startTableGcd!| |pdf2ef| |meshPar2Var|
- |interactiveEnv| |elaborateFile| |leastMonomial| |mapUnivariateIfCan|
- |s18aef| |hasSolution?| |environment| |smith| |idealiser|
- |rewriteIdealWithQuasiMonicGenerators| |finiteBound| |negative?|
- |subMatrix| |polygon?| |fixPredicate| |exp| |gcdprim| |color|
- |ratpart| |outlineRender| |mkIntegral| |lookupFunction| |argument|
- |d01alf| |LyndonBasis| |printCode| |leftUnit| |droot| |map|
- |invertIfCan| |rotatez| |radix| |integralMatrixAtInfinity|
- |intcompBasis| |numericIfCan| |supersub| |permanent|
- |screenResolution3D| |powers| |table| |generator| |graphs|
- |genericRightTrace| |position!| |s19adf| |OMsupportsCD?| |nil|
- |outputSpacing| |youngGroup| |closedCurve?| |complexForm|
- |changeThreshhold| |new| |viewDeltaYDefault| |f02bjf| |extractIndex|
- |rCoord| |buildSyntax| |solid?| |dimensionsOf| |compile| |setClosed|
- |setMinPoints| |s18adf| |basisOfRightNucloid| |closed|
- |multiplyExponents| |graphStates| |halfExtendedSubResultantGcd1|
- |zeroVector| |beauzamyBound| |log2| |usingTable?| |simpson|
- |addPointLast| |realRoots| |univariateSolve| |approximate| |spherical|
- |padecf| |stop| |prime?| |cPower| |convert| |signatureAst|
- |LyndonWordsList1| |acoshIfCan| |round| |setPrologue!| |complex|
- |vconcat| |parseString| |f02awf| |car|
- |removeRoughlyRedundantFactorsInPols| |trueEqual| |phiCoord| |f02aaf|
- |tab| |createLowComplexityTable| |irreducible?| |jacobi|
- |selectNonFiniteRoutines| |monomialIntPoly| |setClipValue|
- |decreasePrecision| |mapdiv| |mirror| |failed| |redPo| |nullity|
- |SturmHabichtSequence| |printStats!| |rationalPower| |permutation|
- |lazyPquo| |iiacoth| |createMultiplicationTable| |generateIrredPoly|
- |byteBuffer| |aspFilename| |rootBound| |exponent| |flexibleArray|
- |increment| |noValueMode| |rowEchLocal| |resultantEuclideannaif|
- |degreeSubResultant| |primPartElseUnitCanonical!| |heap| |incr|
- |currentCategoryFrame| |operators| |upperCase!| |insertRoot!|
- |OMlistSymbols| |monic?| |block| |dihedralGroup| |Gamma| |hi|
- |linearDependenceOverZ| |graphImage| |push!| |rationalPoints|
- |monicRightDivide| |varselect| |shrinkable| |showClipRegion| |e02bef|
- |left| |symbolIfCan| |curryLeft| |internalDecompose|
- |numberOfNormalPoly| |invertible?| |indicialEquations|
- |printStatement| |f01rdf| |interpolate| |right| |OMgetFloat| |bracket|
- |more?| |front| |viewPhiDefault| |pastel| F2FG |overbar| |setelt!|
- |pointColorPalette| |cCos| |sh| |getButtonValue| |pushdterm|
- |associatedSystem| |mapBivariate| |support| |showRegion|
- |doubleResultant| |safetyMargin| |Vectorise| |separate| |qelt|
- |diagonalMatrix| |logGamma| |coerceListOfPairs| |dominantTerm|
- |expenseOfEvaluationIF| |SFunction| |qsetelt| |splitSquarefree|
- |nextLatticePermutation| |minus!| |isList| |initial|
- |rationalApproximation| |LyndonCoordinates| |lowerCase!| |horizConcat|
- |alternating| |stoseInvertible?reg| |createPrimitivePoly| |f04faf|
- |xRange| |viewport2D| |next| |OMgetApp| |tanQ| |rightDivide|
- |nextsousResultant2| |key| |readable?| |polyred| |quadraticForm|
- |rightQuotient| |yRange| |lazyResidueClass| |hclf| |putProperties|
- |OMunhandledSymbol| |f01qcf| |explogs2trigs| |createGenericMatrix|
- |viewWriteAvailable| |leftExactQuotient| |generators| |zRange|
- |e02dcf| |maxrank| |completeSmith| |stoseSquareFreePart| |filename|
- |map!| |PDESolve| |palgint| |setValue!| |pol| |symmetricDifference|
- |midpoints| |limit| |trim| |e02gaf| |qsetelt!|
- |clearFortranOutputStack| |hue| |merge| |nthRoot| |deepestTail| |ref|
- |leastAffineMultiple| |numerator| |tube| |parse| |fortranComplex|
- |reducedSystem| |resetNew| |leftRank| |sinh2csch| |increase| |code|
- |hMonic| |mdeg| |headRemainder| |generate| |fortranLogical| |select!|
- |rewriteIdealWithRemainder| |bottom!| |hcrf| |makeYoungTableau|
- |readUInt32!| |connectTo| |fintegrate| |BasicMethod|
- |factorsOfCyclicGroupSize| |ranges| |imaginary| |wreath|
- |hyperelliptic| |quotientByP| |bsolve| |bitCoef| |incrementBy|
- |getGoodPrime| |sayLength| |setsubMatrix!| |e01baf|
- |constantCoefficientRicDE| |rdHack1| |f2st| |eisensteinIrreducible?|
- |triangularSystems| |multinomial| |factorset| |nextIrreduciblePoly|
- |dual| |child?| |acsch| |generic| |leadingTerm| |genericPosition|
- |transcendenceDegree| |iitan| |c02agf| |outputFloating| |printInfo|
- |highCommonTerms| |expressIdealMember| |toseSquareFreePart|
- |groebnerIdeal| |complexNumericIfCan| |integral?| |insertMatch|
- |identity| |eulerPhi| |integralDerivationMatrix| |duplicates| |cyclic|
- |iifact| |closed?| |OMreadFile| |cot2trig| |categoryFrame| |cAsec|
- |qPot| |tanSum| |e04jaf| |asecIfCan| |solveLinearlyOverQ| |options|
- |gbasis| |updatF| |tablePow| |interval| |lazyPseudoRemainder| |tail|
- |setScreenResolution| |dom| |leftScalarTimes!| |laplacian|
- |reducedDiscriminant| |e01bhf| |leftGcd| |reducedContinuedFraction|
- |internalSubQuasiComponent?| |upperCase?| |insert!| |arg1| |entry|
- |OMopenFile| |PollardSmallFactor| |expandPower| |product| |binding|
- |eigenvalues| |nil| |infinite| |arbitraryExponent| |approximate|
+ |Record| |Union| |is?| |direction| |wrregime|
+ |removeRedundantFactorsInPols| |arg2| |string| |radicalSimplify|
+ |monomRDEsys| |less?| |monomialIntPoly| |cAtanh| |distFact| |nthr|
+ |pair?| |mesh?| |deepCopy| |imagi| |normalise| |say| |setClipValue|
+ |OMgetEndBVar| |OMgetEndAttr| |quoByVar| |shufflein| |isOr|
+ |conditions| |relationsIdeal| |lazyIntegrate| |setfirst!|
+ |decreasePrecision| |integralAtInfinity?| |leadingIndex| |e02def|
+ |quoted?| |oddInfiniteProduct| |title| |match| |imports| |pdct|
+ |reset| |characteristicSet| |mapdiv| |external?| |hermiteH|
+ |stoseInvertibleSet| |semiIndiceSubResultantEuclidean| |exponential|
+ |sum| |baseRDEsys| |tanh2coth| |mirror| |inc| |zeroDim?|
+ |rootDirectory| |iFTable| |stronglyReduce| |multiplyCoefficients|
+ |coefChoose| |computeCycleLength| |norm| |write| |redPo| |cycleElt|
+ |isTimes| |radicalEigenvector| |genericRightNorm| |shuffle| |e|
+ |curveColorPalette| |bigEndian| |save| |secIfCan| |nullity| |lp|
+ |raisePolynomial| |d01bbf| |isConnected?| |f02akf| |diophantineSystem|
+ |coerceImages| |rangePascalTriangle| |recur| |nothing|
+ |SturmHabichtSequence| |simpleBounds?| |iiasin| |processTemplate|
+ |normalizeAtInfinity| |variable?| |const| |printStats!| |cylindrical|
+ |extractProperty| |removeDuplicates| |setDifference| |mindeg| |exp1|
+ |top| |regularRepresentation| |integer?| |rationalPower| |optpair|
+ |pole?| |extension| |curry| |makeprod| |lagrange| |continue|
+ |polarCoordinates| |isAbsolutelyIrreducible?| |permutation| |lprop|
+ |lex| |quickSort| |readUInt8!| |choosemon| |infRittWu?| |lazyPquo|
+ |constantKernel| |acscIfCan| |limitedIntegrate| |lllp| |addPoint|
+ |primlimitedint| |palgLODE| |middle| |iiacoth| ** |hash| |radPoly|
+ |groebner?| |minGbasis| |isAnd| |viewport3D| |groebner| |elem?|
+ |generalLambert| |createMultiplicationTable| |count| |localUnquote|
+ |normalizedAssociate| |component| |primlimintfrac| |uniform01|
+ |pleskenSplit| |ddFact| |wholeRagits| |generateIrredPoly| |module|
+ |invertibleSet| |f07adf| |monomRDE| |ridHack1| |byteBuffer|
+ |trace2PowMod| |d02kef| |lSpaceBasis| |viewDeltaXDefault| |constant|
+ |patternMatchTimes| |primeFactor| |particularSolution| |aspFilename|
+ |OMreadStr| |controlPanel| |rotatey| |cscIfCan| |yellow|
+ |messagePrint| |integrate| |mantissa| |rootBound| |cup| |branchPoint?|
+ |bombieriNorm| |contractSolve| |c06gsf| |setProperties| |OMclose|
+ |string?| |iisinh| |scanOneDimSubspaces| |s14abf| |returnTypeOf|
+ |readIfCan!| |c05adf| |decompose| |pdf2ef| |rdregime| |associative?|
+ |sPol| |dAndcExp| |partitions| |ode1| |exponential1| |mainExpression|
+ |meshPar2Var| |localAbs| |s17akf| |OMputEndAttr| |headReduce|
+ |reducedForm| |rangeIsFinite| |backOldPos| |interactiveEnv|
+ |separateDegrees| |OMgetString| |numFunEvals3D| |complexElementary|
+ |gcdPolynomial| |factorByRecursion| |shiftRight| |elaborateFile|
+ |createPrimitiveElement| |normal?| |zeroMatrix| |isImplies|
+ |toseSquareFreePart| |lastSubResultant| |find| |axes| |leastMonomial|
+ |iisin| |status| |intChoose| |showIntensityFunctions| |groebnerIdeal|
+ |rootNormalize| |maximumExponent| |OMgetBind| |mapUnivariateIfCan|
+ |permutationGroup| |perfectNthRoot| |OMopenString| |cAcos| |infix|
+ |complexNumericIfCan| |unitNormalize| |makeSin| |recip| |s18aef|
+ |linearlyDependentOverZ?| |categories| |OMgetInteger|
+ |leftExtendedGcd| |insertTop!| |algebraicDecompose| |integral?|
+ |numer| |iiexp| |retractIfCan| |kovacic| |fixedPoints| |hasSolution?|
+ |powerAssociative?| |innerEigenvectors| |iiasech| |retractable?|
+ |insertMatch| |denom| |traverse| |algebraicVariables|
+ |collectQuasiMonic| |environment| |host| |makeResult|
+ |stoseInvertibleSetsqfreg| |henselFact| |identity| |legendreP|
+ |stiffnessAndStabilityOfODEIF| |basis| |smith| |semicolonSeparate|
+ |iteratedInitials| |inspect| |innerint| |eulerPhi| |pi|
+ |createZechTable| |cRationalPower| |initiallyReduced?| |idealiser|
+ |symmetricProduct| |lastSubResultantEuclidean| |elseBranch|
+ |monomials| |integralDerivationMatrix| |infinity| |approxNthRoot|
+ |member?| |stronglyReduced?| |rewriteIdealWithQuasiMonicGenerators|
+ |concat| |step| |extendedIntegrate| |coefficients| |df2mf| |red|
+ |duplicates| |ode| |stirling1| |OMputObject| |finiteBound| |edf2fi|
+ |firstUncouplingMatrix| |branchPointAtInfinity?| |indiceSubResultant|
+ |cyclic| |setRow!| |denominators| |modulus| |negative?| |reopen!|
+ |OMwrite| |OMgetError| |gderiv| |iifact| |kernel| |karatsubaOnce|
+ |internalIntegrate0| |maxdeg| |subMatrix| |formula| |ef2edf|
+ |reducedQPowers| |pade| |linearAssociatedExp| |list| |ptree| |closed?|
+ |invmultisect| |linearMatrix| |fortranDoubleComplex| |polygon?| |lhs|
+ |zeroSquareMatrix| |subResultantsChain| |setRealSteps| |subSet| |draw|
+ |OMreadFile| |digit?| |clearCache| |interReduce|
+ |permutationRepresentation| |fixPredicate| |rhs| |leftTraceMatrix|
+ |remove!| |bezoutDiscriminant| |nthFractionalTerm| |cot2trig| |shape|
+ |solveInField| |cyclicGroup| |gcdprim| |systemSizeIF| |sncndn|
+ |double?| |safeCeiling| |categoryFrame| |stFuncN| |debug3D|
+ |composites| |color| |currentEnv| |nrows| |isPlus| |initTable!|
+ |cartesian| |SturmHabichtCoefficients| |cAsec| |rk4a| |e01sbf|
+ |laguerreL| |ratpart| |ncols| |parabolic| |addmod| |plus!|
+ |removeDuplicates!| |makeObject| |qPot| |lieAlgebra?|
+ |leftAlternative?| |wholeRadix| |outlineRender| |sorted?|
+ |monomialIntegrate| |stopTableGcd!| |cot2tan| |coef| |tanSum|
+ |symbolTableOf| |cardinality| |startStats!| |mkIntegral|
+ |alphanumeric?| |singRicDE| |iiGamma| |modifyPoint| |e04jaf| |curve?|
+ |freeOf?| |Lazard| |lookupFunction| |readInt8!| |d02raf|
+ |cyclotomicDecomposition| |makeSUP| |asecIfCan| |iisech| |inRadical?|
+ |closeComponent| |argument| |rightNorm| |curve|
+ |LagrangeInterpolation| |back| |solveLinearlyOverQ| |zeroDimPrimary?|
+ |rischNormalize| |imagK| |d01alf| |kind| |in?| |extend| |eulerE|
+ |withPredicates| |gbasis| |linears| |toroidal| |groebnerFactorize|
+ |LyndonBasis| |op| |lieAdmissible?| |omError| |anticoord|
+ |ReduceOrder| |updatF| |kernels| |leftRemainder| |reduction|
+ |indicialEquationAtInfinity| |printCode| |write!| |deepestInitial|
+ |region| |quadratic| |removeCosSq| |tablePow| |oneDimensionalArray|
+ |anfactor| |minimumExponent| |operator| |leftUnit|
+ |genericRightTraceForm| |appendPoint| |minrank| |iicoth| |leftPower|
+ |interval| SEGMENT |inverseLaplace| |scalarMatrix|
+ |zeroSetSplitIntoTriangularSystems| |droot| |e04naf| |defineProperty|
+ |leftFactorIfCan| |points| |lazyPseudoRemainder| |sort| |rootsOf|
+ |exponents| |univariate| |stoseInternalLastSubResultant| |invertIfCan|
+ |UnVectorise| |OMmakeConn| |factorial| |pseudoQuotient|
+ |setScreenResolution| |dec| |trivialIdeal?| |size?| |hostByteOrder|
+ |rotatez| |factorPolynomial| |quasiRegular| |parabolicCylindrical|
+ |multMonom| |leftScalarTimes!| |cyclicEqual?| |regime| |parent|
+ |radix| |union| |unknownEndian| |lfextendedint|
+ |generalizedEigenvector| |epilogue| |laplacian| |binaryTree| |forLoop|
+ |factor| |idealSimplify| |integralMatrixAtInfinity| |nextNormalPoly|
+ |clipSurface| |readInt32!| |unvectorise| |reducedDiscriminant|
+ |random| |modTree| |cTan| |sqrt| |patternMatch| |intcompBasis|
+ |FormatRoman| |selectFiniteRoutines| |showTheFTable| |qualifier|
+ |comp| |e01bhf| |irVar| |cyclotomic| |real| |laurentIfCan|
+ |numericIfCan| |removeConstantTerm| |digamma| |getProperties| |e02bcf|
+ |leftGcd| |setprevious!| |compound?| |imag| |octon| |supersub| |super|
+ |properties| |useSingleFactorBound| |s15adf| |extractPoint|
+ |var2StepsDefault| |reducedContinuedFraction| |copy| |rootSimp|
+ |directProduct| |matrixGcd| |changeVar| |permanent| |repeating?|
+ |translate| |tubeRadiusDefault| |randomLC| |exactQuotient!|
+ |internalSubQuasiComponent?| |hex| |padicFraction| |roughBase?|
+ |screenResolution3D| |c06gcf| |removeIrreducibleRedundantFactors|
+ |depth| |HermiteIntegrate| |yCoord| |upperCase?| |gensym| |brace|
+ |setchildren!| |aQuadratic| |powers| |sparsityIF| |pseudoRemainder|
+ |lfextlimint| |OMReadError?| |insert!| |dioSolve| |bandedHessian|
+ |f02bbf| |destruct| |graphs| |listOfLists| |localIntegralBasis|
+ |palgLODE0| |fixedPointExquo| |OMopenFile| |nand| |edf2ef|
+ |whatInfinity| |genericRightTrace| |match?| |getMultiplicationMatrix|
+ |besselK| |conical| |weight| |PollardSmallFactor| |autoCoerce|
+ |getCurve| |colorFunction| |c06ekf| |position!| |arguments| |subset?|
+ |list?| |iExquo| |solveLinear| |expandPower| |primitivePart!|
+ |setTex!| |s19adf| |f02ajf| |enterInCache| |linearAssociatedOrder|
+ |stopMusserTrials| |product| |ScanRoman| |expand| |mapUp!|
+ |dualSignature| |monomial| |OMsupportsCD?| |bitLength| |OMgetEndError|
+ |multiple?| |scan| |binding| |minColIndex| |filterWhile|
+ |insertBottom!| |multivariate| |graphState| |outputSpacing| |close|
+ |pascalTriangle| |leastPower| |acotIfCan| F
+ |solveLinearPolynomialEquation| |eigenvalues| |sumOfKthPowerDivisors|
+ |filterUntil| |euclideanSize| |flagFactor| |variables| |youngGroup|
+ |paraboloidal| |overset?| |iilog| |select| |vark| |f04qaf| |display|
+ |closedCurve?| |rightRankPolynomial| |randomR| |iiacos| |gradient|
+ |exprToGenUPS| |wordsForStrongGenerators| |imagJ| |complexForm|
+ |completeHensel| |rst| |fi2df| |setLabelValue| |cSech|
+ |doublyTransitive?| |rootSplit| |changeThreshhold| |palgintegrate|
+ |trunc| |critB| |lighting| |quatern| |viewDeltaYDefault| |predicate|
+ |rightAlternative?| |dimension| |nextPrimitivePoly| |primitiveElement|
+ |resultantReduit| |perfectSqrt| |internalAugment| |debug| |taylor|
+ |f02bjf| |measure| |mesh| |members| |karatsubaDivide| |cn| |nullary|
+ |reflect| |unparse| D |laurent| |input| |extractIndex| |f2df|
+ |csc2sin| |checkForZero| |c06fqf| |tubeRadius| |addMatch| |rowEchelon|
+ |puiseux| |library| |rCoord| |OMsend| |noncommutativeJordanAlgebra?|
+ |fortranLiteralLine| EQ |infieldIntegrate| |sortConstraints| |isExpt|
+ |buildSyntax| |createThreeSpace| |divisor| |SturmHabicht| |e01saf|
+ |printTypes| |swap!| |alphabetic| |createPrimitiveNormalPoly| |inv|
+ |solid?| |unitVector| |mapExpon| |lquo| |exprHasWeightCosWXorSinWX|
+ |setLegalFortranSourceExtensions| |normalizedDivide| |dihedral|
+ |commutativeEquality| |ground?| |dimensionsOf| |errorInfo| |slash|
+ |newSubProgram| |primaryDecomp| |power| |deref| |solveid| |medialSet|
+ |ground| |set| |intermediateResultsIF| |dark| |cubic| |setleaves!|
+ |commutator| |fortranDouble| |integralCoordinates| |critMonD1|
+ |decimal| |leadingMonomial| |OMputEndBind| |jordanAlgebra?|
+ |symmetricGroup| |accuracyIF| |coercePreimagesImages| |positive?|
+ |complexExpand| |besselI| |recoverAfterFail| |leadingCoefficient|
+ |parameters| |extendedSubResultantGcd| |fortranCarriageReturn|
+ |divideIfCan!| |makeMulti| |airyAi| |size| |tanhIfCan|
+ |shanksDiscLogAlgorithm| |calcRanges| |standardBasisOfCyclicSubmodule|
+ |primitiveMonomials| |separant| |isOpen?| |mainVariable?| |numerators|
+ |makeop| |lflimitedint| |squareFreeFactors| |allRootsOf|
+ |insertionSort!| |print| |reductum| |corrPoly| |c06fuf| |substring?|
+ |dot| |iflist2Result| |clipPointsDefault| |nthRoot| |abs| |qfactor|
+ |virtualDegree| |resolve| |s13aaf| |outputFixed| |trailingCoefficient|
+ |column| |numberOfPrimitivePoly| |scale| |deepestTail| |squareMatrix|
+ |figureUnits| |prem| |neglist| |maxIndex| |atrapezoidal|
+ |setCondition!| |mainCharacterization| |suffix?| |true| |denominator|
+ |cfirst| |category| |ref| |arrayStack| |alphabetic?| |enumerate|
+ |c06gqf| |oddintegers| |domain| |float?|
+ |inverseIntegralMatrixAtInfinity| |preprocess| |trapezoidalo|
+ |RemainderList| |leastAffineMultiple| |optional| |OMreceive| |delete!|
+ |numericalIntegration| |f04arf| |nilFactor| |mathieu24|
+ |lastSubResultantElseSplit| |prefix?| |qinterval|
+ |countRealRootsMultiple| |package| |numerator| |isNot| |constantRight|
+ |principalIdeal| |generic?| |insert| |indicialEquation| |signAround|
+ |numberOfFractionalTerms| |baseRDE| |extractIfCan| |tube|
+ |useEisensteinCriterion?| |s20adf| |tRange|
+ |solveLinearPolynomialEquationByFractions| |show| |divideIfCan|
+ |convergents| |rootOfIrreduciblePoly| |rightTraceMatrix| |addiag|
+ |fortranComplex| |logIfCan| |commutative?| |nullSpace| |search|
+ |c05nbf| |listLoops| |cAtan| |quotedOperators| |overlap| |predicates|
+ |reducedSystem| |node| |clearDenominator| |geometric| |ode2|
+ |rightLcm| |trace| |clipParametric| |inverseIntegralMatrix|
+ |setFormula!| |getMatch| |removeRoughlyRedundantFactorsInPol|
+ |resetNew| |numberOfMonomials| |setButtonValue| |componentUpperBound|
+ |getSyntaxFormsFromFile| |besselY| |character?| |contains?|
+ |screenResolution| |removeSuperfluousCases| |leftRank| |d01ajf|
+ |f04jgf| |sub| |pointData| |mapCoef| |infix?| |sturmSequence|
+ |mainVariables| |localReal?| |paren| |sinh2csch| |pointPlot|
+ |createNormalPoly| |nextItem| |polCase| |mask| |imagE|
+ |setTopPredicate| |chainSubResultants| |unitNormal| |alternatingGroup|
+ |increase| |areEquivalent?| |chiSquare| |rationalFunction|
+ |showArrayValues| |flatten| |aLinear| |firstNumer| |deleteRoutine!|
+ |removeZeroes| |diagonals| |hMonic| |lazyGintegrate| |clipBoolean|
+ |bytes| |ramified?| |laurentRep| |compose| |shiftLeft|
+ |rightDiscriminant| |indiceSubResultantEuclidean| |mdeg| |qqq|
+ |dictionary| |mainCoefficients| |uncouplingMatrices| |isQuotient|
+ |factorials| |basisOfLeftNucleus| |karatsuba| |leadingSupport|
+ |setOfMinN| |headRemainder| |entries| |complexLimit| |symmetric?|
+ |halfExtendedSubResultantGcd2| |s20acf| |computeInt| |e02akf|
+ |extendedEuclidean| |OMgetEndObject| |fortranLogical| |subHeight|
+ |solveLinearPolynomialEquationByRecursion| |deriv| |getOperator|
+ |listYoungTableaus| |leftLcm| |setlast!| |nonLinearPart| |simplifyExp|
+ |select!| |extensionDegree| |badValues| |axesColorDefault| |prime|
+ |groebSolve| |yCoordinates| |subNodeOf?| |compiledFunction| |c06fpf|
+ |directory| |rewriteIdealWithRemainder| |linearPart| |extractBottom!|
+ |conjugate| |lazyPremWithDefault| |mergeFactors| |inf| |explimitedint|
+ |high| |e04mbf| |chebyshevT| |bottom!| |maxPoints| |sup| |internal?|
+ |truncate| |height| |units| |complementaryBasis| |log10| |s13acf|
+ |createRandomElement| |Hausdorff| |c05pbf| |selectPolynomials| |hcrf|
+ |equation| |midpoint| |critpOrder| |taylorQuoByVar| |f04atf|
+ |logical?| |bitand| |functionIsOscillatory| |powern|
+ |radicalOfLeftTraceForm| |coerceL| |makeYoungTableau| |unravel|
+ |getIdentifier| |cSin| |iiatan| |leaves| |e04ycf| |outerProduct|
+ |bitior| |ratDsolve| |selectOptimizationRoutines| |numberOfChildren|
+ |f02fjf| |linear| |readUInt32!| |safeFloor|
+ |stiffnessAndStabilityFactor| |UP2ifCan| |stoseInvertible?| |rightGcd|
+ |makeGraphImage| |modularGcd| |variationOfParameters| |prefixRagits|
+ |connectTo| |changeMeasure| |s17acf| |stoseInvertible?sqfreg|
+ |macroExpand| |incrementKthElement| |genericLeftDiscriminant|
+ |rewriteSetByReducingWithParticularGenerators| |matrixDimensions|
+ |lambert| |semiResultantReduitEuclidean| |polynomial| |fintegrate|
+ |someBasis| |seriesSolve| |nodes| |multiEuclideanTree| |comment|
+ |iiacot| |radicalEigenvalues| |algebraicCoefficients?| |fractionPart|
+ |csubst| |BasicMethod| |center| |rightFactorCandidate|
+ |fullPartialFraction| |bandedJacobian| |tubePointsDefault|
+ |triangSolve| |complexIntegrate| |integralLastSubResultant| |e01bef|
+ |inR?| |factorsOfCyclicGroupSize| |rootKerSimp| |sturmVariationsOf|
+ |findBinding| |f02adf| |binarySearchTree| |expextendedint|
+ |identification| |nthExpon| |mainPrimitivePart| |rule| |ranges|
+ |declare| |makingStats?| |selectAndPolynomials| |youngDiagram|
+ |s18acf| |nullary?| |nativeModuleExtension| |e01daf| |getMeasure|
+ |common| |approxSqrt| |imaginary| |e02bbf| |pomopo!| |normalForm|
+ |derivationCoordinates| |setAttributeButtonStep| |splitDenominator|
+ |intPatternMatch| |length| |linSolve| |separateFactors| |wreath|
+ |transcendent?| |palgRDE| |floor| |d03eef| |scripts| |ODESolve|
+ |tanIfCan| |RittWuCompare| |homogeneous?| |OMputInteger|
+ |hyperelliptic| |fixedDivisor| |merge!| |rightRecip| |parametersOf|
+ |polyRDE| |content| |changeName| |imagk| |attributeData| |orbit|
+ |quotientByP| |complexEigenvectors| |over| |clikeUniv|
+ |selectOrPolynomials| |matrix| |belong?| |viewWriteDefault| |bitTruth|
+ |minordet| |putProperty| |c06gbf| |bsolve| |complexNormalize|
+ |dimensionOfIrreducibleRepresentation| |hspace| |limitPlus| |npcoef|
+ |basisOfCommutingElements| |nextPrime| |call| |subresultantSequence|
+ |bitCoef| |iicot| |bipolarCylindrical| |squareFreePart| |split|
+ |makeTerm| |iibinom| |cAcot| |setMinPoints3D| |create3Space|
+ |getGoodPrime| Y |rotate!| |iicosh| |normalDenom| |getGraph|
+ |pushuconst| |cschIfCan| |OMgetObject| |shade| |label|
+ |monicCompleteDecompose| |sayLength| |composite| |shallowExpand|
+ |degreeSubResultantEuclidean| |solve1| |iiperm| |linearAssociatedLog|
+ |iidsum| |OMconnInDevice| |setsubMatrix!| |vectorise| |tubePoints|
+ |kmax| |printHeader| |exteriorDifferential|
+ |irreducibleRepresentation| |flexible?| |mightHaveRoots| |e01baf|
+ |eof?| |setMaxPoints3D| |atanhIfCan| |totalDifferential| |compdegd|
+ |numberOfImproperPartitions| |result| |createNormalElement| |evaluate|
+ |constantCoefficientRicDE| |ScanFloatIgnoreSpaces| |pureLex| |setref|
+ |semiResultantEuclidean2| |functionIsContinuousAtEndPoints| |e02agf|
+ |binomThmExpt| |gcdcofact| |rdHack1| |f02agf| |rational?| |putGraph|
+ |makeEq| |f04mbf| |splitNodeOf!| |numeric| |setScreenResolution3D|
+ |f2st| |mathieu23| |representationType| |s17dhf|
+ |numberOfComputedEntries| |radical| |ip4Address| |f01maf| |lazyPrem|
+ |extractSplittingLeaf| |eisensteinIrreducible?| |atanIfCan| |iCompose|
+ |OMputString| |constructor| |pow| |rational| |maxColIndex|
+ |differentialVariables| |factorSFBRlcUnit| |triangularSystems| |ipow|
+ |cSinh| |wholePart| |top!| |bindings| |option| |isEquiv| |child|
+ |multinomial| |listOfMonoms| |symbolTable| |showSummary| |infieldint|
+ |d02bhf| |split!| |isOp| |monicModulo| |mat| |rowEch| |factorset|
+ |e01sff| |tracePowMod| |commaSeparate| |heapSort| |showTheSymbolTable|
+ |fmecg| |drawComplexVectorField| |genericLeftNorm|
+ |nextIrreduciblePoly| |pushFortranOutputStack| |constDsolve|
+ |showAttributes| |explicitEntries?| |semiDegreeSubResultantEuclidean|
+ |rootOf| |mainKernel| |factorSquareFreeByRecursion| |setPosition|
+ |makeRecord| |badNum| |dual| |popFortranOutputStack|
+ |currentSubProgram| |algint| |lepol| |duplicates?| |linGenPos| |mvar|
+ |child?| |ksec| |outputAsFortran| |reduceBasisAtInfinity| |diagonal|
+ |s18aff| |mergeDifference| |noKaratsuba| |name| |parents| |notelem|
+ |rk4| |generic| |topPredicate| |mapMatrixIfCan| |leftMult|
+ |collectUnder| |rightTrim| |irreducibleFactor| |nonQsign| |body|
+ |lexTriangular| |Ci| |leadingTerm| |unrankImproperPartitions1|
+ |bivariateSLPEBR| |setvalue!| |leftTrim| |oddlambert|
+ |complexEigenvalues| |goodnessOfFit| |genericPosition| |null|
+ |rightCharacteristicPolynomial| |getMultiplicationTable| |d02bbf|
+ |overlabel| |stack| |gcdcofactprim| |endSubProgram| |reify|
+ |idealiserMatrix| |not| |transcendenceDegree| |quadratic?|
+ |wordInStrongGenerators| |intensity| |mix| BY |lyndon?| |B1solve|
+ |associates?| |failed?| |iitan| |and| |linearlyDependent?|
+ |explicitlyEmpty?| |pquo| |outputList| |startTableGcd!| |finite?|
+ |bumptab| |rightScalarTimes!| |modifyPointData| |c02agf| |or|
+ |cycleLength| |doubleRank| |roughBasicSet| |bernoulli|
+ |monicDecomposeIfCan| |alphanumeric| |exprToUPS| |outputFloating|
+ |xor| |iitanh| |drawComplex| |var2Steps| |inconsistent?| |colorDef|
+ |push| |f02aef| |outputAsScript| |palgextint0| |signature| |dim|
+ |highCommonTerms| |case| |extendedResultant| |rightFactorIfCan|
+ |null?| |assert| |errorKind| |untab| |quotient| |f07aef| |port|
+ |bubbleSort!| |removeSinSq| |pattern| |Zero| |expressIdealMember|
+ |prinpolINFO| |splitConstant| |OMputError| |compBound| |atom?|
+ |s21baf| |reverseLex| |realElementary| |minimalPolynomial| |One|
+ |subResultantChain| |critMTonD1| |OMcloseConn| |argumentList!|
+ |reduceByQuasiMonic| |repSq| |expintegrate| |factor1| |t|
+ |unaryFunction| |expt| |safetyMargin| |shift| NOT |countable?|
+ |s17ahf| |numberOfOperations| |limitedint| |output| |getBadValues|
+ |inputBinaryFile| |charClass| |numberOfHues| |leftTrace|
+ |unitCanonical| |Vectorise| |leader| OR |factors| |vector| |df2fi|
+ |rspace| |unrankImproperPartitions0| |multisect| |solve|
+ |readLineIfCan!| |laplace| |lowerBound| |message| |separate| AND
+ |d02cjf| |differentiate| |mkcomm| |c06frf| |unit| |c02aff|
+ |prolateSpheroidal| |rightOne| |d03edf| |cyclicSubmodule|
+ |diagonalMatrix| |copy!| |typeLists| |selectPDERoutines|
+ |wronskianMatrix| |distance| |fortran| |atanh| |sqfrFactor|
+ |showTheIFTable| |supDimElseRittWu?| |BumInSepFFE| |logGamma| |elt|
+ |diag| |cAcsc| |sequences| |expint| |setMaxPoints| |acoth| |infinite?|
+ |bivariatePolynomials| |integerIfCan| |inverse| |integerBound|
+ |coerceListOfPairs| |ratDenom| |exportedOperators| |prod|
+ |roughSubIdeal?| |cycleRagits| |asech| |level| |seriesToOutputForm|
+ UP2UTS |removeRoughlyRedundantFactorsInContents| |symbol?|
+ |sumOfSquares| |dominantTerm| |monomial?| |distdfact| |plot|
+ |absolutelyIrreducible?| |setStatus!| |reindex| |OMputSymbol|
+ |exponentialOrder| |setOrder| |expenseOfEvaluationIF| |autoReduced?|
+ |internalInfRittWu?| |addMatchRestricted| |quasiAlgebraicSet| |d01anf|
+ |acothIfCan| |multiple| |cons| |factorsOfDegree|
+ |semiSubResultantGcdEuclidean2| |s17adf| |inGroundField?| |SFunction|
+ |magnitude| |radicalSolve| |approximants| |leftQuotient|
+ |infiniteProduct| |expandTrigProducts| |applyQuote| |toScale|
+ |integralRepresents| |xn| |cond| |rename| |complexSolve|
+ |splitSquarefree| |retract| |completeHermite| |hasoln| |prologue|
+ |constantIfCan| |pseudoDivide| |arbitrary| |tanintegrate| |getlo|
+ |cdr| |f01ref| |nextLatticePermutation| |makeFR| |swapRows!|
+ |removeRedundantFactorsInContents| |meshFun2Var| |makeViewport2D|
+ |generalizedContinuumHypothesisAssumed?| |minus!| |FormatArabic|
+ |mindegTerm| |rightExactQuotient| |OMputAtp| |second| |chiSquare1| *
+ |getProperty| |conditionP| |bumptab1| |makeCos| |euler| |ruleset|
+ |coerceP| |combineFeatureCompatibility| |Ei| |OMgetBVar|
+ |setEpilogue!| |taylorIfCan| |third| |isList| |leftFactor|
+ |setIntersection| |children| |leftRegularRepresentation| |changeBase|
+ |toseLastSubResultant| |subresultantVector| |associatedEquations|
+ |symFunc| |rationalApproximation| |primeFrobenius| |symmetricPower|
+ |OMputEndObject| |internalZeroSetSplit| |nthExponent| |totalGroebner|
+ |source| |void| |makeSketch| |light| |constantOpIfCan|
+ |fortranInteger| |LyndonCoordinates| |normalize| |minIndex| =
+ |innerSolve| |numericalOptimization| |setErrorBound| |OMgetEndBind|
+ |suchThat| |sylvesterSequence| |nthRootIfCan| |s17aff| |cycleTail|
+ |outputArgs| |lowerCase!| |normalDeriv| |OMgetEndAtp| |element?|
+ |ParCondList| |leftRecip| |script| |createIrreduciblePoly|
+ |decomposeFunc| |palginfieldint| |odd?| |fglmIfCan| |horizConcat|
+ |bothWays| < |range| |setAdaptive3D| |tryFunctionalDecomposition|
+ |open?| |plusInfinity| |elColumn2!| |stoseIntegralLastSubResultant|
+ |bfEntry| |integers| |alternating| |newTypeLists| |char| |f04axf| >
+ |ScanArabic| |generalInfiniteProduct| |s17agf|
+ |univariatePolynomialsGcds| |socf2socdf| |minusInfinity|
+ |scalarTypeOf| |systemCommand| |argumentListOf| |concat!|
+ |stoseInvertible?reg| |fortranTypeOf| |fortranReal| <= |binomial|
+ |redPol| |acschIfCan| |semiDiscriminantEuclidean| |tex| |target|
+ |matrixConcat3D| |boundOfCauchy| |setProperty| |zag|
+ |createPrimitivePoly| |OMgetType| |iprint| >= |pmComplexintegrate|
+ |interpretString| |genericLeftTraceForm| |create| |dequeue|
+ |validExponential| |mapExponents| |writeBytes!| |equiv| |f04faf|
+ |torsion?| |expr| |adaptive?| |elliptic?| |LowTriBddDenomInv| |fTable|
+ |outputBinaryFile| |prinshINFO| |exQuo| |atoms| |nodeOf?| |normal|
+ |subscript| |f01bsf| |viewport2D| |writeLine!| |OMgetAttr| |sec2cos|
+ |totalLex| |queue| |iiacsch| |drawCurves| |copyInto!|
+ |removeSquaresIfCan| |hessian| |OMgetApp| |bits| + |moreAlgebraic?|
+ |showAllElements| |primintfldpoly| |dmp2rfi| |type| |whileLoop|
+ |selectODEIVPRoutines| |elementary| |conjunction| |tanQ| |OMlistCDs|
+ |binaryTournament| |point| - |float| |firstDenom| |generalSqFr|
+ |supRittWu?| |subResultantGcd| |hypergeometric0F1| |Frobenius|
+ |zerosOf| |nthCoef| |rightDivide| |variable| |stFunc1| / |leftZero|
+ |bounds| |mappingAst| |OMputFloat| |iicsc| |scopes| |primextendedint|
+ |prepareDecompose| |nextsousResultant2| |iterators| |numFunEvals|
+ |sumSquares| |removeSinhSq| |ListOfTerms| |fractRagits| |nor|
+ |polyRicDE| |maxrow| |partialDenominators| |rk4qc| |readable?|
+ |gramschmidt| |series| |basisOfLeftAnnihilator| |f02aff|
+ |balancedFactorisation| |testDim| |capacity| |eigenMatrix| |newReduc|
+ |conjug| |polyred| |outputGeneral| |continuedFraction| |showAll?|
+ |OMUnknownCD?| |doubleDisc| |critM| |radicalRoots| |minPol| |myDegree|
+ |id| |quadraticForm| |zeroDimensional?|
+ |selectMultiDimensionalRoutines| |e02daf| |rationalIfCan| |prevPrime|
+ |value| |constantOperator| |modularFactor| |pushucoef| |symbol|
+ |relativeApprox| |rightQuotient| |lo| |internalIntegrate| |nary?|
+ |pointColorDefault| |fixedPoint| |collectUpper| |complexRoots|
+ |harmonic| |simpsono| |coord| |expression| |lazyResidueClass| |min|
+ |complete| |d01apf| |s13adf| |showFortranOutputStack| |aQuartic|
+ |mappingMode| |qroot| |max| |listexp| |integer| |hclf|
+ |pushNewContour| |physicalLength| GE |OMbindTCP| |cycles|
+ |constantToUnaryFunction| |divisors| |problemPoints|
+ |leftCharacteristicPolynomial| |inputOutputBinaryFile| |froot|
+ |putProperties| |rowEchelonLocal| |bat| GT |makeFloatFunction|
+ |resize| |createMultiplicationMatrix| |univariatePolynomial|
+ |generalizedInverse| |charpol| |e04ucf| |real?| |OMunhandledSymbol|
+ |largest| LE |hdmpToDmp| |selectsecond| |btwFact| |explicitlyFinite?|
+ |deepExpand| |adaptive3D?| |testModulus| |zCoord| |f01qcf|
+ |encodingDirectory| LT |se2rfi| |semiSubResultantGcdEuclidean1|
+ |expandLog| |coefficient| |iiasinh| |invertibleElseSplit?| |cotIfCan|
+ |mainDefiningPolynomial| |explogs2trigs| |symmetricSquare| |nsqfree|
+ |algDsolve| |normalized?| |pile| |rename!| |nextsubResultant2|
+ |cos2sec| |fortranCompilerName| |OMputEndAtp| |createGenericMatrix|
+ |decrease| |OMconnOutDevice| |style| |e02adf| |d01asf|
+ |mainSquareFreePart| |rightRank| |disjunction| |lllip| |keys|
+ |difference| |viewWriteAvailable| |enqueue!| |nextSubsetGray|
+ |semiLastSubResultantEuclidean| |iisec| |structuralConstants|
+ |typeList| |dimensions| |setLength!| |identityMatrix|
+ |leftExactQuotient| |f04adf| |evenInfiniteProduct| |hermite| |sin2csc|
+ |bivariate?| |clearTheSymbolTable| |s17dgf| |xCoord| |index|
+ |generators| |iroot| |numberOfVariables| |generalTwoFactor| |isMult|
+ |resultant| |halfExtendedResultant2| |toseInvertible?|
+ |antisymmetricTensors| |outputForm| |e02dcf| |resultantEuclidean|
+ |goodPoint| |nil?| |subResultantGcdEuclidean| |square?| |asinhIfCan|
+ |updateStatus!| |OMconnectTCP| |transpose| |maxrank|
+ |restorePrecision| |numberOfComponents| |repeating| |basisOfCenter|
+ |moebius| |rightUnits| |polygon| |pair| |completeSmith|
+ |optAttributes| |tree| |open| |df2ef| |lfinfieldint| |rightUnit|
+ |internalLastSubResultant| |reciprocalPolynomial| |bright|
+ |upDateBranches| |skewSFunction| |shallowCopy| |stoseSquareFreePart|
+ |closedCurve| |number?| |viewThetaDefault| |powmod| |eyeDistance|
+ |vedf2vef| |divide| |findCycle| |stFunc2| |PDESolve| |tanAn| |build|
+ |palgRDE0| |s17dcf| |mathieu12| |integralBasisAtInfinity| |eval|
+ |intersect| |computeCycleEntry| |ScanFloatIgnoreSpacesIfCan| |palgint|
+ |rischDEsys| |hconcat| |subCase?| |createLowComplexityNormalBasis|
+ |cothIfCan| |meshPar1Var| |node?| |setValue!| |operations| |augment|
+ |f01mcf| |OMputAttr| |useNagFunctions| |evenlambert| |weakBiRank|
+ |OMgetEndApp| |pushup| |stosePrepareSubResAlgo| |pol| |sign|
+ |eigenvector| |mapGen| |interpret| |computeBasis| |laguerre| |error|
+ |moebiusMu| |compactFraction| |collect| |branchIfCan|
+ |symmetricDifference| |cyclicEntries| |any?| |triangulate| |edf2df|
+ |outputMeasure| |curryRight| |getOperands| |midpoints| |sqfree|
+ |leftOne| |twoFactor| |rightTrace| |imagj| |optimize| |elliptic|
+ |OMputApp| |applyRules| |dfRange| |nextNormalPrimitivePoly| |limit|
+ |precision| |function| |s19abf| |upperCase| |rotatex| |d02ejf|
+ |zeroOf| RF2UTS |s21bcf| |isPower| |trim| |cExp|
+ |rightRegularRepresentation| |e04gcf| |index?| |rroot| |iiacosh|
+ |musserTrials| |monicLeftDivide| |selectSumOfSquaresRoutines| |e02gaf|
+ |width| |substitute| |computePowers| |redpps| |balancedBinaryTree|
+ |rules| |diagonalProduct| |subQuasiComponent?| |cycleEntry| |double|
+ |clearFortranOutputStack| |chineseRemainder| |increasePrecision|
+ |gcdPrimitive| |sin?| |critT| |rightPower| |getExplanations|
+ |euclideanNormalForm| UTS2UP |hue| |f01qdf| |completeEchelonBasis|
+ |extendIfCan| |Nul| |groebgen| |polynomialZeros|
+ |rewriteSetWithReduction| |s21bbf| |scripted?| |merge| |cAsinh|
+ |divisorCascade| |leftNorm| |squareTop| |move| |schwerpunkt|
+ |plotPolar| |specialTrigs| |s14aaf| |makeViewport3D| |f02abf|
+ |resultantnaif| |elRow1!| |e02aef| |checkPrecision| |mr| |upperBound|
+ |cross| |generalizedEigenvectors| |viewpoint|
+ |indexedDirectProductObject| |singularAtInfinity?|
+ |generalizedContinuumHypothesisAssumed| |OMgetVariable| |ptFunc|
+ |ricDsolve| |jacobian| |algebraic?| |fullDisplay| |e02dff| |exponent|
+ |close!| |clipWithRanges| |coerceS| |iipow| |graeffe| |subst| |rem|
+ |vertConcat| |writeUInt8!| |f04asf| |OMencodingBinary| |flexibleArray|
+ |squareFreePrim| |s18def| |cosh2sech| |stripCommentsAndBlanks|
+ |reduced?| |exprHasAlgebraicWeight| |quo| |listConjugateBases| |leaf?|
+ |increment| |binary| |declare!| |varList| |coordinate| |extract!|
+ |removeCoshSq| |complexZeros| |conjugates| |d02gaf| |e04dgf|
+ |directSum| |weighted| |noValueMode| |lcm| |rur|
+ |genericRightDiscriminant| |just| |definingEquations| |extractClosed|
+ |ellipticCylindrical| |div| |delete| |cyclePartition| |solid| |pop!|
+ |rowEchLocal| |rightMinimalPolynomial| |dmpToP| |loopPoints|
+ |physicalLength!| |symmetricRemainder| |exquo| |completeEval|
+ |sech2cosh| |splitLinear| |stoseInvertibleSetreg|
+ |resultantEuclideannaif| |any| |primextintfrac| |f01qef| |append|
+ |lazyEvaluate| |genericLeftTrace| |s17dlf| ~= |exprex|
+ |lazyPseudoDivide| |infinityNorm| |tanNa| |degreeSubResultant|
+ |f04maf| |distribute| |s15aef| |gcd| |components| |newLine|
+ |linkToFortran| |objects| |#| |headAst| |sincos|
+ |stoseLastSubResultant| |root?| |primPartElseUnitCanonical!| |presub|
+ |polar| |fractionFreeGauss!| |consnewpol| |false| |partition|
+ |positiveSolve| |base| ~ |exptMod| |graphCurves|
+ |genericLeftMinimalPolynomial| |cyclicParents| |heap| |setleft!|
+ |iiasec| |resultantReduitEuclidean| |singleFactorBound| |orbits|
+ |ravel| |rk4f| |viewDefaults| |edf2efi| |transcendentalDecompose|
+ |currentCategoryFrame| |segment| |constant?| |cap| |hostPlatform| |dn|
+ |f02axf| |init| |scaleRoots| |sumOfDivisors| |totalDegree| |poisson|
+ |operators| |reshape| |identitySquareMatrix| |leftRankPolynomial|
+ |irDef| |LiePoly| |modularGcdPrimitive| |/\\| |mkAnswer|
+ |resetBadValues| |normFactors| |postfix| |upperCase!| |prindINFO|
+ |writeInt8!| |hasPredicate?| |lfintegrate| |property| |\\/|
+ |crushedSet| |toseInvertibleSet| |goto| |e02zaf| |insertRoot!| |apply|
+ |coerce| |adaptive| |tan2cot| |integralBasis| |univariate?|
+ |coshIfCan| |integralMatrix| |argscript| |readByte!| |headReduced?|
+ |OMlistSymbols| |first| |construct| |internalSubPolSet?| |unary?|
+ |frst| |bit?| |dmpToHdmp| |Si| |halfExtendedResultant1| |leftUnits|
+ |unmakeSUP| |monic?| |rest| |pointLists| |setFieldInfo| |redmat|
+ |summation| |csch2sinh| |block| |factorList| |squareFreePolynomial|
+ |implies| |zeroSetSplit| |plus| |update| |e01bgf| |c06eaf|
+ |primPartElseUnitCanonical| |brillhartIrreducible?| |maxint| |f07fef|
+ |linear?| |nonSingularModel| |imagI| |dihedralGroup| |rootProduct|
+ |cyclic?| |perspective| |getStream| |rightRemainder| |d01akf|
+ |hitherPlane| |central?| |remainder| |Gamma| |c06ebf|
+ |topFortranOutputStack| |aromberg| |lowerPolynomial| |viewPosDefault|
+ |fortranLiteral| |OMencodingXML| |algintegrate| |degree|
+ |linearDependenceOverZ| |times| |ocf2ocdf| |possiblyNewVariety?|
+ |llprop| |optional?| |mathieu22| |previous| |delta| |even?|
+ |realSolve| |putColorInfo| |OMserve| |graphImage| |typeForm|
+ |presuper| |bumprow| |zoom| |ldf2lst| |primes| |domainTemplate|
+ |numberOfIrreduciblePoly| |generalPosition| |acosIfCan| |push!|
+ |position| |d01aqf| |initializeGroupForWordProblem| |getPickedPoints|
+ |basisOfRightAnnihilator| |linearPolynomials| |OMgetSymbol|
+ |polygamma| |d01gbf| |terms| |rationalPoints| |datalist| |lift|
+ |denomLODE| |tab1| |cCosh| |numberOfCycles| |nextSublist|
+ |factorFraction| |pointColor| |nlde| |box| |nextPrimitiveNormalPoly|
+ |selectIntegrationRoutines| |monicRightDivide| |monom| |reduce| |cLog|
+ |janko2| |antiCommutative?| |rischDE| |quote| |dequeue!| |iiacsc|
+ |tensorProduct| |chebyshevU| |SturmHabichtMultiple| |varselect|
+ |loadNativeModule| |latex| |countRealRoots| |checkRur| |rightMult|
+ |rightExtendedGcd| |sinIfCan| |s17def| |quartic| |taylorRep|
+ |polyPart| |numberOfDivisors| |shrinkable| |f02wef| |delay|
+ |roughUnitIdeal?| |mpsode| |bringDown| |replace| |maxPoints3D|
+ |biRank| |copies| |rarrow| |mainVariable| |showClipRegion|
+ |wordInGenerators| |rootRadius| |LyndonWordsList| |prinb| |routines|
+ |lambda| |repeatUntilLoop| |OMencodingSGML| |option?| |subspace|
+ |e02bef| |rank| |kroneckerDelta| |lyndonIfCan| |OMputEndBVar|
+ |ffactor| |listBranches| |patternVariable| |var1StepsDefault| |cycle|
+ |bat1| |symbolIfCan| |log| |getDatabase| |relerror| |hdmpToP|
+ |tubePlot| |contours| |minimumDegree| |endOfFile?| |algSplitSimple|
+ |c06ecf| |curryLeft| |setelt| |orthonormalBasis| |definingInequation|
+ |changeWeightLevel| |useEisensteinCriterion| |linearDependence|
+ |deleteProperty!| FG2F |e01sef| |basicSet| |internalDecompose|
+ |primitivePart| |escape| |returns| |normalizeIfCan| |mathieu11|
+ |probablyZeroDim?| |purelyAlgebraicLeadingMonomial?| |connect|
+ |besselJ| |viewZoomDefault| |numberOfNormalPoly| |numberOfFactors|
+ |d01gaf| |OMputBind| |palgextint| |assign| |singularitiesOf| |s14baf|
+ |digit| |partialFraction| |invertible?| |unit?| |iiatanh| |associator|
+ |palglimint0| |blue| |discreteLog| |OMsupportsSymbol?| |bipolar|
+ |curveColor| |indicialEquations| |realEigenvalues| |enterPointData|
+ |roman| |subPolSet?| |pdf2df| |trigs2explogs| |principalAncestors|
+ |userOrdered?| |startPolynomial| |categoryMode| |printStatement|
+ |byte| |lists| |head| |roughEqualIdeals?| |rootPoly|
+ |leftDiscriminant| |OMgetAtp| |externalList| |elaborate|
+ |antiAssociative?| |pToDmp| |quasiRegular?| |f01rdf|
+ |pointSizeDefault| |refine| |LiePolyIfCan| |removeRedundantFactors|
+ |lazyIrreducibleFactors| |erf| |irForm| |expintfldpoly|
+ |antisymmetric?| |hasHi| |zero| |makeCrit| |interpolate|
+ |partialNumerators| |reverse| |exprHasLogarithmicWeights|
+ |extendedint| |basisOfCentroid| |inverseColeman| |degreePartition|
+ |tanh2trigh| |setnext!| |extractTop!| |entry?| |OMgetFloat| |chvar|
+ |low| |lifting| |diff| |li| |cycleSplit!| |swap| |getZechTable|
+ |cAsech| |tryFunctionalDecomposition?| |And| |bracket| |palglimint|
+ |Lazard2| |iterationVar| |primintegrate| |unknown| |dilog| |e02bdf|
+ |legendre| |definingPolynomial| |setStatus| |Or| |more?| |stirling2|
+ |multiEuclidean| |addPoint2| |birth| |fortranCharacter| |trigs| |sin|
+ |euclideanGroebner| |univcase| |drawStyle| |characteristicSerie| |Not|
+ |front| |genus| |minPoints3D| |sample| |Is| |coleman| |cos| |po|
+ |coHeight| |has?| |invmod| |viewPhiDefault| |useSingleFactorBound?|
+ |int| |jordanAdmissible?| |resetVariableOrder| |basisOfNucleus|
+ |maxRowIndex| |tan| |realEigenvectors| |quasiMonicPolynomials|
+ |pastel| |makeSeries| |comparison| |quadraticNorm| |HenselLift|
+ |initiallyReduce| |cot| |fractRadix| |bezoutMatrix|
+ |leftReducedSystem| F2FG |changeNameToObjf| |e02ddf| |order|
+ |readInt16!| |abelianGroup| |sec| |squareFree| |s17ajf|
+ |rectangularMatrix| |overbar| |sizeMultiplication| |strongGenerators|
+ |coth2trigh| |bezoutResultant| |certainlySubVariety?| |csc|
+ |clearTheIFTable| |var1Steps| |expenseOfEvaluation| |setelt!|
+ |numberOfComposites| |read!| |romberg| |asin| |univariatePolynomials|
+ |test| |positiveRemainder| |unitsColorDefault| |bag|
+ |pointColorPalette| |derivative| |remove| |operation| |integral|
+ |addBadValue| |selectfirst| |acos| |cCoth| |knownInfBasis| |cAcosh|
+ |cCos| |d02gbf| |f01brf| |mapmult| |Aleph| |adjoint| |atan|
+ |minPoints| |recolor| |sn| |trapezoidal| |parts| |sh| |exprToXXP|
+ |last| |basisOfRightNucleus| |minPoly| |mapUnivariate| |empty?| |acot|
+ |pushdown| |getButtonValue| |assoc| |cAcsch| |setImagSteps|
+ |clearTable!| |mkPrim| |pack!| |asec| |s21bdf| |simplifyLog|
+ |asimpson| |condition| |tower| |pushdterm| |reverse!| |simplifyPower|
+ |leadingIdeal| |setUnion| |removeZero| |acsc| |characteristic|
+ |iicsch| |jacobiIdentity?| |associatedSystem| |Beta| |padicallyExpand|
+ |diagonal?| |divergence| |fortranLinkerArgs| |prefix| |sinh|
+ |inrootof| |key?| |lazyPseudoQuotient| |mapBivariate| |blankSeparate|
+ |ratPoly| |iomode| |cosh| |denomRicDE| |sizeLess?| |plenaryPower|
+ |support| |getVariableOrder| |fracPart| |makeUnit| |complement|
+ |OMUnknownSymbol?| |obj| |tanh| |triangular?| |eq| |makeVariable|
+ |KrullNumber| |showRegion| |sizePascalTriangle| |ord| |getConstant|
+ |conditionsForIdempotents| |subNode?| |cache| |coth| |iter| |s01eaf|
+ |eq?| |callForm?| |doubleResultant| |complexNumeric| |credPol| |arity|
+ |fill!| |lazy?| |d01amf| |unprotectedRemoveRedundantFactors| |sech|
+ |OMputEndError| |att2Result| |moduleSum| |torsionIfCan| |before?|
+ |lowerCase| |ldf2vmf| |f01rcf| |tan2trig| |getOrder| |csch| |lfunc|
+ |expPot| |antiCommutator| |setClosed| |permutations| |factorAndSplit|
+ |mainContent| |opeval| |setEmpty!| |asinh| |nthFlag| |gethi|
+ |normal01| |thenBranch| |setMinPoints| |OMputVariable|
+ |LazardQuotient| |meatAxe| |printInfo!| |resetAttributeButtons|
+ |cAcoth| |acosh| |iisqrt3| |cCsch| |normInvertible?| |ran| |s18adf|
+ |subscriptedVariables| |primitive?| |stopTable!| |hasTopPredicate?|
+ |row| |removeSuperfluousQuasiComponents| |lowerCase?| |zeroDimPrime?|
+ |basisOfRightNucloid| |clip| |s17aef| |factorSquareFreePolynomial|
+ |traceMatrix| |iiabs| |outputAsTex| |exp| |reseed| |rotate| |closed|
+ |fibonacci| |listRepresentation| |rubiksGroup| |innerSolve1|
+ |swapColumns!| |showScalarValues| |e02baf| |point?|
+ |multiplyExponents| |map| |ceiling| |represents| |setAdaptive|
+ |setright!| |shellSort| |aCubic| |pr2dmp| |drawToScale| |superHeight|
+ |graphStates| |table| |generator| |monicDivide| |oblateSpheroidal|
+ |firstSubsetGray| |ignore?| |sequence| |nil| |isobaric?|
+ |evaluateInverse| |space| |elaboration| |halfExtendedSubResultantGcd1|
+ |new| |reduceLODE| |findConstructor| |fillPascalTriangle| |ideal|
+ |setVariableOrder| |measure2Result| |purelyTranscendental?| |compile|
+ |OMputEndApp| |zeroVector| |coordinates| |symmetricTensors|
+ |nextColeman| |constantLeft| |thetaCoord| |satisfy?| |cCsc|
+ |viewSizeDefault| |beauzamyBound| |crest| |d03faf| |e02ajf|
+ |leftMinimalPolynomial| |lintgcd| |approximate| |iisqrt2| |stop|
+ |radicalEigenvectors| |green| |log2| |convert| |commonDenominator|
+ |GospersMethod| |writeByte!| |An| |divideExponents| |complex|
+ |shiftRoots| |rationalPoint?| |check| |usingTable?|
+ |tableForDiscreteLogarithm| |OMputBVar| |returnType!| |e02ahf|
+ |startTable!| |finiteBasis| |totalfract| |cyclicCopy| |simpson|
+ |mapSolve| |one?| |leadingCoefficientRicDE| |mapDown!| |dflist|
+ |failed| |hexDigit| |lifting1| |randnum| |addPointLast| |times!|
+ |revert| LODO2FUN |readUInt16!| |simplify| |bfKeys|
+ |associatorDependence| |printingInfo?| |realRoots| |mainMonomials|
+ |doubleComplex?| |bernoulliB| |equality| |cAsin| |lyndon|
+ |factorOfDegree| |algebraicOf| |univariateSolve| |incr|
+ |UpTriBddDenomInv| |rombergo| |determinant| |clearTheFTable| |empty|
+ |contract| |parametric?| |asinIfCan| |spherical| |hi| |writable?|
+ |morphism| |ramifiedAtInfinity?| |indices| |LazardQuotient2|
+ |voidMode| |cyclotomicFactorization| |OMread| |padecf| |left| |e01bff|
+ |logpart| |mainValue| |binaryFunction| |readLine!| |eigenvectors|
+ |lexGroebner| |part?| |prime?| |right| |power!| |powerSum| |isAtom|
+ |schema| |startTableInvSet!| |f07fdf| |cCot| |leftDivide| |cPower|
+ |root| |readBytes!| |currentScope| |normalElement| |lineColorDefault|
+ |pToHdmp| |d01fcf| |minRowIndex| |signatureAst| |sylvesterMatrix|
+ |infLex?| |perfectSquare?| |nextPartition| |elRow2!| |qelt| |initials|
+ |nthFactor| |weierstrass| |LyndonWordsList1| |qsetelt| |s19aaf|
+ |characteristicPolynomial| |showTheRoutinesTable| |cTanh| |getRef|
+ |hexDigit?| |initial| |elements| |coth2tanh| |acoshIfCan|
+ |noLinearFactor?| |sinhcosh| |lexico| |unexpand| |setPredicates|
+ |xRange| |next| |functionIsFracPolynomial?| |sort!| |vspace| |round|
+ |key| |partialQuotients| |slex| |pmintegrate| |OMencodingUnknown|
+ |singular?| |yRange| |zero?| |solveRetract| |stopTableInvSet!|
+ |setPrologue!| |df2st| |sdf2lst| |critBonD| |ParCond| |zRange|
+ |htrigs| |basisOfLeftNucloid| |reorder| |every?| |vconcat| |filename|
+ |map!| |sts2stst| |moduloP| |digits| |discriminantEuclidean|
+ |algebraicSort| |sinhIfCan| |setPoly| |expIfCan| |parseString|
+ |littleEndian| |uniform| |qsetelt!| |charthRoot|
+ |genericRightMinimalPolynomial| |subTriSet?| |quasiMonic?|
+ |principal?| |minset| |f02awf| |parse| |replaceKthElement| |exists?|
+ |realZeros| |rootPower| |normDeriv2| |code| |OMsetEncoding|
+ |frobenius| |discriminant| |car| |generate| |cosSinInfo| |surface|
+ |exactQuotient| |universe| |seed| |minimize| |basisOfMiddleNucleus|
+ |twist| |removeRoughlyRedundantFactorsInPols| |setrest!| |cSec|
+ |superscript| |subtractIfCan| |multiset| |leadingExponent|
+ |lazyVariations| |prepareSubResAlgo| |trueEqual| |incrementBy| |iicos|
+ |semiResultantEuclidean1| |rewriteIdealWithHeadRemainder|
+ |doubleFloatFormat| |whitePoint| |mulmod| |iidprod| |asechIfCan|
+ |phiCoord| |fprindINFO| |totolex| |tValues| |airyBi| |f02xef| |acsch|
+ |brillhartTrials| |mainMonomial| |factorSquareFree| |f02aaf|
+ |functorData| GF2FG |alternative?| |printInfo| |leviCivitaSymbol|
+ |squareFreeLexTriangular| |transform| |factorGroebnerBasis| |lookup|
+ |tab| |jokerMode| |OMParseError?| |quasiComponent| |rightZero|
+ |f04mcf| |updatD| |createNormalPrimitivePoly| |sechIfCan|
+ |createLowComplexityTable| |irreducibleFactors| |perfectNthPower?|
+ |companionBlocks| |getCode| |s19acf| |submod| |irCtor|
+ |possiblyInfinite?| |options| |irreducible?| |complex?| |inHallBasis?|
+ |psolve| |mainForm| |tail| |cosIfCan| |dom| |palgint0| |tableau|
+ |monicRightFactorIfCan| |jacobi| |weights| |leadingBasisTerm|
+ |semiResultantEuclideannaif| |setColumn!| |packageCall| |arg1|
+ |saturate| |entry| |purelyAlgebraic?| |rquo| |selectNonFiniteRoutines|
+ |e04fdf| |s18dcf| |nil| |infinite| |arbitraryExponent| |approximate|
  |complex| |shallowMutable| |canonical| |noetherian| |central|
  |partiallyOrderedSet| |arbitraryPrecision| |canonicalsClosed|
  |noZeroDivisors| |rightUnitary| |leftUnitary| |additiveValuation|
diff --git a/src/share/algebra/interp.daase b/src/share/algebra/interp.daase
index d6ed9e50..20e9b2e5 100644
--- a/src/share/algebra/interp.daase
+++ b/src/share/algebra/interp.daase
@@ -1,1039 +1,1039 @@
 
-(3262368 . 3486820651)       
-((-2071 (((-112) (-1 (-112) |#2| |#2|) $) 86) (((-112) $) NIL)) (-2450 (($ (-1 (-112) |#2| |#2|) $) 18) (($ $) NIL)) (-3755 ((|#2| $ (-576) |#2|) NIL) ((|#2| $ (-1255 (-576)) |#2|) 44)) (-1474 (($ $) 80)) (-3685 ((|#2| (-1 |#2| |#2| |#2|) $ |#2| |#2|) 52) ((|#2| (-1 |#2| |#2| |#2|) $ |#2|) 50) ((|#2| (-1 |#2| |#2| |#2|) $) 49)) (-3659 (((-576) (-1 (-112) |#2|) $) 27) (((-576) |#2| $) NIL) (((-576) |#2| $ (-576)) 96)) (-3965 (((-656 |#2|) $) 13)) (-4335 (($ (-1 (-112) |#2| |#2|) $ $) 64) (($ $ $) NIL)) (-4322 (($ (-1 |#2| |#2|) $) 37)) (-4116 (($ (-1 |#2| |#2|) $) NIL) (($ (-1 |#2| |#2| |#2|) $ $) 60)) (-2174 (($ |#2| $ (-576)) NIL) (($ $ $ (-576)) 67)) (-2366 (((-3 |#2| "failed") (-1 (-112) |#2|) $) 29)) (-3542 (((-112) (-1 (-112) |#2|) $) 23)) (-2796 ((|#2| $ (-576) |#2|) NIL) ((|#2| $ (-576)) NIL) (($ $ (-1255 (-576))) 66)) (-3463 (($ $ (-576)) 76) (($ $ (-1255 (-576))) 75)) (-1460 (((-783) (-1 (-112) |#2|) $) 34) (((-783) |#2| $) NIL)) (-2568 (($ $ $ (-576)) 69)) (-1870 (($ $) 68)) (-3581 (($ (-656 |#2|)) 73)) (-1615 (($ $ |#2|) NIL) (($ |#2| $) NIL) (($ $ $) 87) (($ (-656 $)) 85)) (-3569 (((-876) $) 92)) (-2170 (((-112) (-1 (-112) |#2|) $) 22)) (-2923 (((-112) $ $) 95)) (-2948 (((-112) $ $) 99))) 
-(((-18 |#1| |#2|) (-10 -8 (-15 -2923 ((-112) |#1| |#1|)) (-15 -3569 ((-876) |#1|)) (-15 -2948 ((-112) |#1| |#1|)) (-15 -2450 (|#1| |#1|)) (-15 -2450 (|#1| (-1 (-112) |#2| |#2|) |#1|)) (-15 -1474 (|#1| |#1|)) (-15 -2568 (|#1| |#1| |#1| (-576))) (-15 -2071 ((-112) |#1|)) (-15 -4335 (|#1| |#1| |#1|)) (-15 -3659 ((-576) |#2| |#1| (-576))) (-15 -3659 ((-576) |#2| |#1|)) (-15 -3659 ((-576) (-1 (-112) |#2|) |#1|)) (-15 -2071 ((-112) (-1 (-112) |#2| |#2|) |#1|)) (-15 -4335 (|#1| (-1 (-112) |#2| |#2|) |#1| |#1|)) (-15 -3755 (|#2| |#1| (-1255 (-576)) |#2|)) (-15 -2174 (|#1| |#1| |#1| (-576))) (-15 -2174 (|#1| |#2| |#1| (-576))) (-15 -3463 (|#1| |#1| (-1255 (-576)))) (-15 -3463 (|#1| |#1| (-576))) (-15 -4116 (|#1| (-1 |#2| |#2| |#2|) |#1| |#1|)) (-15 -1615 (|#1| (-656 |#1|))) (-15 -1615 (|#1| |#1| |#1|)) (-15 -1615 (|#1| |#2| |#1|)) (-15 -1615 (|#1| |#1| |#2|)) (-15 -2796 (|#1| |#1| (-1255 (-576)))) (-15 -3581 (|#1| (-656 |#2|))) (-15 -2366 ((-3 |#2| "failed") (-1 (-112) |#2|) |#1|)) (-15 -3685 (|#2| (-1 |#2| |#2| |#2|) |#1|)) (-15 -3685 (|#2| (-1 |#2| |#2| |#2|) |#1| |#2|)) (-15 -3685 (|#2| (-1 |#2| |#2| |#2|) |#1| |#2| |#2|)) (-15 -2796 (|#2| |#1| (-576))) (-15 -2796 (|#2| |#1| (-576) |#2|)) (-15 -3755 (|#2| |#1| (-576) |#2|)) (-15 -1460 ((-783) |#2| |#1|)) (-15 -3965 ((-656 |#2|) |#1|)) (-15 -1460 ((-783) (-1 (-112) |#2|) |#1|)) (-15 -3542 ((-112) (-1 (-112) |#2|) |#1|)) (-15 -2170 ((-112) (-1 (-112) |#2|) |#1|)) (-15 -4322 (|#1| (-1 |#2| |#2|) |#1|)) (-15 -4116 (|#1| (-1 |#2| |#2|) |#1|)) (-15 -1870 (|#1| |#1|))) (-19 |#2|) (-1238)) (T -18)) 
+(3262861 . 3486833905)       
+((-1710 (((-112) (-1 (-112) |#2| |#2|) $) 86) (((-112) $) NIL)) (-4298 (($ (-1 (-112) |#2| |#2|) $) 18) (($ $) NIL)) (-3756 ((|#2| $ (-576) |#2|) NIL) ((|#2| $ (-1255 (-576)) |#2|) 44)) (-3990 (($ $) 80)) (-3686 ((|#2| (-1 |#2| |#2| |#2|) $ |#2| |#2|) 52) ((|#2| (-1 |#2| |#2| |#2|) $ |#2|) 50) ((|#2| (-1 |#2| |#2| |#2|) $) 49)) (-3660 (((-576) (-1 (-112) |#2|) $) 27) (((-576) |#2| $) NIL) (((-576) |#2| $ (-576)) 96)) (-3966 (((-656 |#2|) $) 13)) (-3391 (($ (-1 (-112) |#2| |#2|) $ $) 64) (($ $ $) NIL)) (-4323 (($ (-1 |#2| |#2|) $) 37)) (-4117 (($ (-1 |#2| |#2|) $) NIL) (($ (-1 |#2| |#2| |#2|) $ $) 60)) (-2176 (($ |#2| $ (-576)) NIL) (($ $ $ (-576)) 67)) (-1541 (((-3 |#2| "failed") (-1 (-112) |#2|) $) 29)) (-4320 (((-112) (-1 (-112) |#2|) $) 23)) (-2797 ((|#2| $ (-576) |#2|) NIL) ((|#2| $ (-576)) NIL) (($ $ (-1255 (-576))) 66)) (-3466 (($ $ (-576)) 76) (($ $ (-1255 (-576))) 75)) (-1460 (((-783) (-1 (-112) |#2|) $) 34) (((-783) |#2| $) NIL)) (-3025 (($ $ $ (-576)) 69)) (-1870 (($ $) 68)) (-3582 (($ (-656 |#2|)) 73)) (-1615 (($ $ |#2|) NIL) (($ |#2| $) NIL) (($ $ $) 87) (($ (-656 $)) 85)) (-3570 (((-876) $) 92)) (-3321 (((-112) (-1 (-112) |#2|) $) 22)) (-2925 (((-112) $ $) 95)) (-2950 (((-112) $ $) 99))) 
+(((-18 |#1| |#2|) (-10 -8 (-15 -2925 ((-112) |#1| |#1|)) (-15 -3570 ((-876) |#1|)) (-15 -2950 ((-112) |#1| |#1|)) (-15 -4298 (|#1| |#1|)) (-15 -4298 (|#1| (-1 (-112) |#2| |#2|) |#1|)) (-15 -3990 (|#1| |#1|)) (-15 -3025 (|#1| |#1| |#1| (-576))) (-15 -1710 ((-112) |#1|)) (-15 -3391 (|#1| |#1| |#1|)) (-15 -3660 ((-576) |#2| |#1| (-576))) (-15 -3660 ((-576) |#2| |#1|)) (-15 -3660 ((-576) (-1 (-112) |#2|) |#1|)) (-15 -1710 ((-112) (-1 (-112) |#2| |#2|) |#1|)) (-15 -3391 (|#1| (-1 (-112) |#2| |#2|) |#1| |#1|)) (-15 -3756 (|#2| |#1| (-1255 (-576)) |#2|)) (-15 -2176 (|#1| |#1| |#1| (-576))) (-15 -2176 (|#1| |#2| |#1| (-576))) (-15 -3466 (|#1| |#1| (-1255 (-576)))) (-15 -3466 (|#1| |#1| (-576))) (-15 -4117 (|#1| (-1 |#2| |#2| |#2|) |#1| |#1|)) (-15 -1615 (|#1| (-656 |#1|))) (-15 -1615 (|#1| |#1| |#1|)) (-15 -1615 (|#1| |#2| |#1|)) (-15 -1615 (|#1| |#1| |#2|)) (-15 -2797 (|#1| |#1| (-1255 (-576)))) (-15 -3582 (|#1| (-656 |#2|))) (-15 -1541 ((-3 |#2| "failed") (-1 (-112) |#2|) |#1|)) (-15 -3686 (|#2| (-1 |#2| |#2| |#2|) |#1|)) (-15 -3686 (|#2| (-1 |#2| |#2| |#2|) |#1| |#2|)) (-15 -3686 (|#2| (-1 |#2| |#2| |#2|) |#1| |#2| |#2|)) (-15 -2797 (|#2| |#1| (-576))) (-15 -2797 (|#2| |#1| (-576) |#2|)) (-15 -3756 (|#2| |#1| (-576) |#2|)) (-15 -1460 ((-783) |#2| |#1|)) (-15 -3966 ((-656 |#2|) |#1|)) (-15 -1460 ((-783) (-1 (-112) |#2|) |#1|)) (-15 -4320 ((-112) (-1 (-112) |#2|) |#1|)) (-15 -3321 ((-112) (-1 (-112) |#2|) |#1|)) (-15 -4323 (|#1| (-1 |#2| |#2|) |#1|)) (-15 -4117 (|#1| (-1 |#2| |#2|) |#1|)) (-15 -1870 (|#1| |#1|))) (-19 |#2|) (-1238)) (T -18)) 
 NIL 
-(-10 -8 (-15 -2923 ((-112) |#1| |#1|)) (-15 -3569 ((-876) |#1|)) (-15 -2948 ((-112) |#1| |#1|)) (-15 -2450 (|#1| |#1|)) (-15 -2450 (|#1| (-1 (-112) |#2| |#2|) |#1|)) (-15 -1474 (|#1| |#1|)) (-15 -2568 (|#1| |#1| |#1| (-576))) (-15 -2071 ((-112) |#1|)) (-15 -4335 (|#1| |#1| |#1|)) (-15 -3659 ((-576) |#2| |#1| (-576))) (-15 -3659 ((-576) |#2| |#1|)) (-15 -3659 ((-576) (-1 (-112) |#2|) |#1|)) (-15 -2071 ((-112) (-1 (-112) |#2| |#2|) |#1|)) (-15 -4335 (|#1| (-1 (-112) |#2| |#2|) |#1| |#1|)) (-15 -3755 (|#2| |#1| (-1255 (-576)) |#2|)) (-15 -2174 (|#1| |#1| |#1| (-576))) (-15 -2174 (|#1| |#2| |#1| (-576))) (-15 -3463 (|#1| |#1| (-1255 (-576)))) (-15 -3463 (|#1| |#1| (-576))) (-15 -4116 (|#1| (-1 |#2| |#2| |#2|) |#1| |#1|)) (-15 -1615 (|#1| (-656 |#1|))) (-15 -1615 (|#1| |#1| |#1|)) (-15 -1615 (|#1| |#2| |#1|)) (-15 -1615 (|#1| |#1| |#2|)) (-15 -2796 (|#1| |#1| (-1255 (-576)))) (-15 -3581 (|#1| (-656 |#2|))) (-15 -2366 ((-3 |#2| "failed") (-1 (-112) |#2|) |#1|)) (-15 -3685 (|#2| (-1 |#2| |#2| |#2|) |#1|)) (-15 -3685 (|#2| (-1 |#2| |#2| |#2|) |#1| |#2|)) (-15 -3685 (|#2| (-1 |#2| |#2| |#2|) |#1| |#2| |#2|)) (-15 -2796 (|#2| |#1| (-576))) (-15 -2796 (|#2| |#1| (-576) |#2|)) (-15 -3755 (|#2| |#1| (-576) |#2|)) (-15 -1460 ((-783) |#2| |#1|)) (-15 -3965 ((-656 |#2|) |#1|)) (-15 -1460 ((-783) (-1 (-112) |#2|) |#1|)) (-15 -3542 ((-112) (-1 (-112) |#2|) |#1|)) (-15 -2170 ((-112) (-1 (-112) |#2|) |#1|)) (-15 -4322 (|#1| (-1 |#2| |#2|) |#1|)) (-15 -4116 (|#1| (-1 |#2| |#2|) |#1|)) (-15 -1870 (|#1| |#1|))) 
-((-3488 (((-112) $ $) 20 (|has| |#1| (-102)))) (-1656 (((-1293) $ (-576) (-576)) 41 (|has| $ (-6 -4465)))) (-2071 (((-112) (-1 (-112) |#1| |#1|) $) 101) (((-112) $) 95 (|has| |#1| (-861)))) (-2450 (($ (-1 (-112) |#1| |#1|) $) 92 (|has| $ (-6 -4465))) (($ $) 91 (-12 (|has| |#1| (-861)) (|has| $ (-6 -4465))))) (-1795 (($ (-1 (-112) |#1| |#1|) $) 102) (($ $) 96 (|has| |#1| (-861)))) (-2396 (((-112) $ (-783)) 8)) (-3755 ((|#1| $ (-576) |#1|) 53 (|has| $ (-6 -4465))) ((|#1| $ (-1255 (-576)) |#1|) 60 (|has| $ (-6 -4465)))) (-1971 (($ (-1 (-112) |#1|) $) 77 (|has| $ (-6 -4464)))) (-3306 (($) 7 T CONST)) (-1474 (($ $) 93 (|has| $ (-6 -4465)))) (-3834 (($ $) 103)) (-2800 (($ $) 80 (-12 (|has| |#1| (-1121)) (|has| $ (-6 -4464))))) (-3945 (($ |#1| $) 79 (-12 (|has| |#1| (-1121)) (|has| $ (-6 -4464)))) (($ (-1 (-112) |#1|) $) 76 (|has| $ (-6 -4464)))) (-3685 ((|#1| (-1 |#1| |#1| |#1|) $ |#1| |#1|) 78 (-12 (|has| |#1| (-1121)) (|has| $ (-6 -4464)))) ((|#1| (-1 |#1| |#1| |#1|) $ |#1|) 75 (|has| $ (-6 -4464))) ((|#1| (-1 |#1| |#1| |#1|) $) 74 (|has| $ (-6 -4464)))) (-4332 ((|#1| $ (-576) |#1|) 54 (|has| $ (-6 -4465)))) (-4272 ((|#1| $ (-576)) 52)) (-3659 (((-576) (-1 (-112) |#1|) $) 100) (((-576) |#1| $) 99 (|has| |#1| (-1121))) (((-576) |#1| $ (-576)) 98 (|has| |#1| (-1121)))) (-3965 (((-656 |#1|) $) 31 (|has| $ (-6 -4464)))) (-4140 (($ (-783) |#1|) 70)) (-4252 (((-112) $ (-783)) 9)) (-1617 (((-576) $) 44 (|has| (-576) (-861)))) (-3124 (($ $ $) 85 (|has| |#1| (-861)))) (-4335 (($ (-1 (-112) |#1| |#1|) $ $) 104) (($ $ $) 97 (|has| |#1| (-861)))) (-2735 (((-656 |#1|) $) 30 (|has| $ (-6 -4464)))) (-3456 (((-112) |#1| $) 28 (-12 (|has| |#1| (-1121)) (|has| $ (-6 -4464))))) (-4027 (((-576) $) 45 (|has| (-576) (-861)))) (-1951 (($ $ $) 86 (|has| |#1| (-861)))) (-4322 (($ (-1 |#1| |#1|) $) 35 (|has| $ (-6 -4465)))) (-4116 (($ (-1 |#1| |#1|) $) 36) (($ (-1 |#1| |#1| |#1|) $ $) 65)) (-3557 (((-112) $ (-783)) 10)) (-1413 (((-1179) $) 23 (|has| |#1| (-1121)))) (-2174 (($ |#1| $ (-576)) 62) (($ $ $ (-576)) 61)) (-2764 (((-656 (-576)) $) 47)) (-4018 (((-112) (-576) $) 48)) (-1450 (((-1141) $) 22 (|has| |#1| (-1121)))) (-3580 ((|#1| $) 43 (|has| (-576) (-861)))) (-2366 (((-3 |#1| "failed") (-1 (-112) |#1|) $) 73)) (-2740 (($ $ |#1|) 42 (|has| $ (-6 -4465)))) (-3542 (((-112) (-1 (-112) |#1|) $) 33 (|has| $ (-6 -4464)))) (-3283 (($ $ (-656 (-304 |#1|))) 27 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ (-304 |#1|)) 26 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ |#1| |#1|) 25 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ (-656 |#1|) (-656 |#1|)) 24 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))))) (-3509 (((-112) $ $) 14)) (-1385 (((-112) |#1| $) 46 (-12 (|has| $ (-6 -4464)) (|has| |#1| (-1121))))) (-1681 (((-656 |#1|) $) 49)) (-2866 (((-112) $) 11)) (-3839 (($) 12)) (-2796 ((|#1| $ (-576) |#1|) 51) ((|#1| $ (-576)) 50) (($ $ (-1255 (-576))) 71)) (-3463 (($ $ (-576)) 64) (($ $ (-1255 (-576))) 63)) (-1460 (((-783) (-1 (-112) |#1|) $) 32 (|has| $ (-6 -4464))) (((-783) |#1| $) 29 (-12 (|has| |#1| (-1121)) (|has| $ (-6 -4464))))) (-2568 (($ $ $ (-576)) 94 (|has| $ (-6 -4465)))) (-1870 (($ $) 13)) (-4171 (((-548) $) 81 (|has| |#1| (-626 (-548))))) (-3581 (($ (-656 |#1|)) 72)) (-1615 (($ $ |#1|) 69) (($ |#1| $) 68) (($ $ $) 67) (($ (-656 $)) 66)) (-3569 (((-876) $) 18 (|has| |#1| (-625 (-876))))) (-2113 (((-112) $ $) 21 (|has| |#1| (-102)))) (-2170 (((-112) (-1 (-112) |#1|) $) 34 (|has| $ (-6 -4464)))) (-2991 (((-112) $ $) 87 (|has| |#1| (-861)))) (-2962 (((-112) $ $) 89 (|has| |#1| (-861)))) (-2923 (((-112) $ $) 19 (|has| |#1| (-102)))) (-2978 (((-112) $ $) 88 (|has| |#1| (-861)))) (-2948 (((-112) $ $) 90 (|has| |#1| (-861)))) (-3502 (((-783) $) 6 (|has| $ (-6 -4464))))) 
+(-10 -8 (-15 -2925 ((-112) |#1| |#1|)) (-15 -3570 ((-876) |#1|)) (-15 -2950 ((-112) |#1| |#1|)) (-15 -4298 (|#1| |#1|)) (-15 -4298 (|#1| (-1 (-112) |#2| |#2|) |#1|)) (-15 -3990 (|#1| |#1|)) (-15 -3025 (|#1| |#1| |#1| (-576))) (-15 -1710 ((-112) |#1|)) (-15 -3391 (|#1| |#1| |#1|)) (-15 -3660 ((-576) |#2| |#1| (-576))) (-15 -3660 ((-576) |#2| |#1|)) (-15 -3660 ((-576) (-1 (-112) |#2|) |#1|)) (-15 -1710 ((-112) (-1 (-112) |#2| |#2|) |#1|)) (-15 -3391 (|#1| (-1 (-112) |#2| |#2|) |#1| |#1|)) (-15 -3756 (|#2| |#1| (-1255 (-576)) |#2|)) (-15 -2176 (|#1| |#1| |#1| (-576))) (-15 -2176 (|#1| |#2| |#1| (-576))) (-15 -3466 (|#1| |#1| (-1255 (-576)))) (-15 -3466 (|#1| |#1| (-576))) (-15 -4117 (|#1| (-1 |#2| |#2| |#2|) |#1| |#1|)) (-15 -1615 (|#1| (-656 |#1|))) (-15 -1615 (|#1| |#1| |#1|)) (-15 -1615 (|#1| |#2| |#1|)) (-15 -1615 (|#1| |#1| |#2|)) (-15 -2797 (|#1| |#1| (-1255 (-576)))) (-15 -3582 (|#1| (-656 |#2|))) (-15 -1541 ((-3 |#2| "failed") (-1 (-112) |#2|) |#1|)) (-15 -3686 (|#2| (-1 |#2| |#2| |#2|) |#1|)) (-15 -3686 (|#2| (-1 |#2| |#2| |#2|) |#1| |#2|)) (-15 -3686 (|#2| (-1 |#2| |#2| |#2|) |#1| |#2| |#2|)) (-15 -2797 (|#2| |#1| (-576))) (-15 -2797 (|#2| |#1| (-576) |#2|)) (-15 -3756 (|#2| |#1| (-576) |#2|)) (-15 -1460 ((-783) |#2| |#1|)) (-15 -3966 ((-656 |#2|) |#1|)) (-15 -1460 ((-783) (-1 (-112) |#2|) |#1|)) (-15 -4320 ((-112) (-1 (-112) |#2|) |#1|)) (-15 -3321 ((-112) (-1 (-112) |#2|) |#1|)) (-15 -4323 (|#1| (-1 |#2| |#2|) |#1|)) (-15 -4117 (|#1| (-1 |#2| |#2|) |#1|)) (-15 -1870 (|#1| |#1|))) 
+((-3489 (((-112) $ $) 20 (|has| |#1| (-102)))) (-2047 (((-1293) $ (-576) (-576)) 41 (|has| $ (-6 -4466)))) (-1710 (((-112) (-1 (-112) |#1| |#1|) $) 101) (((-112) $) 95 (|has| |#1| (-861)))) (-4298 (($ (-1 (-112) |#1| |#1|) $) 92 (|has| $ (-6 -4466))) (($ $) 91 (-12 (|has| |#1| (-861)) (|has| $ (-6 -4466))))) (-1795 (($ (-1 (-112) |#1| |#1|) $) 102) (($ $) 96 (|has| |#1| (-861)))) (-1808 (((-112) $ (-783)) 8)) (-3756 ((|#1| $ (-576) |#1|) 53 (|has| $ (-6 -4466))) ((|#1| $ (-1255 (-576)) |#1|) 60 (|has| $ (-6 -4466)))) (-1974 (($ (-1 (-112) |#1|) $) 77 (|has| $ (-6 -4465)))) (-3886 (($) 7 T CONST)) (-3990 (($ $) 93 (|has| $ (-6 -4466)))) (-3836 (($ $) 103)) (-1415 (($ $) 80 (-12 (|has| |#1| (-1121)) (|has| $ (-6 -4465))))) (-3946 (($ |#1| $) 79 (-12 (|has| |#1| (-1121)) (|has| $ (-6 -4465)))) (($ (-1 (-112) |#1|) $) 76 (|has| $ (-6 -4465)))) (-3686 ((|#1| (-1 |#1| |#1| |#1|) $ |#1| |#1|) 78 (-12 (|has| |#1| (-1121)) (|has| $ (-6 -4465)))) ((|#1| (-1 |#1| |#1| |#1|) $ |#1|) 75 (|has| $ (-6 -4465))) ((|#1| (-1 |#1| |#1| |#1|) $) 74 (|has| $ (-6 -4465)))) (-4335 ((|#1| $ (-576) |#1|) 54 (|has| $ (-6 -4466)))) (-4274 ((|#1| $ (-576)) 52)) (-3660 (((-576) (-1 (-112) |#1|) $) 100) (((-576) |#1| $) 99 (|has| |#1| (-1121))) (((-576) |#1| $ (-576)) 98 (|has| |#1| (-1121)))) (-3966 (((-656 |#1|) $) 31 (|has| $ (-6 -4465)))) (-4141 (($ (-783) |#1|) 70)) (-3870 (((-112) $ (-783)) 9)) (-2924 (((-576) $) 44 (|has| (-576) (-861)))) (-3125 (($ $ $) 85 (|has| |#1| (-861)))) (-3391 (($ (-1 (-112) |#1| |#1|) $ $) 104) (($ $ $) 97 (|has| |#1| (-861)))) (-2014 (((-656 |#1|) $) 30 (|has| $ (-6 -4465)))) (-1612 (((-112) |#1| $) 28 (-12 (|has| |#1| (-1121)) (|has| $ (-6 -4465))))) (-2137 (((-576) $) 45 (|has| (-576) (-861)))) (-3133 (($ $ $) 86 (|has| |#1| (-861)))) (-4323 (($ (-1 |#1| |#1|) $) 35 (|has| $ (-6 -4466)))) (-4117 (($ (-1 |#1| |#1|) $) 36) (($ (-1 |#1| |#1| |#1|) $ $) 65)) (-1330 (((-112) $ (-783)) 10)) (-3699 (((-1179) $) 23 (|has| |#1| (-1121)))) (-2176 (($ |#1| $ (-576)) 62) (($ $ $ (-576)) 61)) (-4234 (((-656 (-576)) $) 47)) (-3354 (((-112) (-576) $) 48)) (-1450 (((-1141) $) 22 (|has| |#1| (-1121)))) (-3581 ((|#1| $) 43 (|has| (-576) (-861)))) (-1541 (((-3 |#1| "failed") (-1 (-112) |#1|) $) 73)) (-4046 (($ $ |#1|) 42 (|has| $ (-6 -4466)))) (-4320 (((-112) (-1 (-112) |#1|) $) 33 (|has| $ (-6 -4465)))) (-3284 (($ $ (-656 (-304 |#1|))) 27 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ (-304 |#1|)) 26 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ |#1| |#1|) 25 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ (-656 |#1|) (-656 |#1|)) 24 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))))) (-4040 (((-112) $ $) 14)) (-3845 (((-112) |#1| $) 46 (-12 (|has| $ (-6 -4465)) (|has| |#1| (-1121))))) (-2281 (((-656 |#1|) $) 49)) (-3973 (((-112) $) 11)) (-4225 (($) 12)) (-2797 ((|#1| $ (-576) |#1|) 51) ((|#1| $ (-576)) 50) (($ $ (-1255 (-576))) 71)) (-3466 (($ $ (-576)) 64) (($ $ (-1255 (-576))) 63)) (-1460 (((-783) (-1 (-112) |#1|) $) 32 (|has| $ (-6 -4465))) (((-783) |#1| $) 29 (-12 (|has| |#1| (-1121)) (|has| $ (-6 -4465))))) (-3025 (($ $ $ (-576)) 94 (|has| $ (-6 -4466)))) (-1870 (($ $) 13)) (-4172 (((-548) $) 81 (|has| |#1| (-626 (-548))))) (-3582 (($ (-656 |#1|)) 72)) (-1615 (($ $ |#1|) 69) (($ |#1| $) 68) (($ $ $) 67) (($ (-656 $)) 66)) (-3570 (((-876) $) 18 (|has| |#1| (-625 (-876))))) (-4055 (((-112) $ $) 21 (|has| |#1| (-102)))) (-3321 (((-112) (-1 (-112) |#1|) $) 34 (|has| $ (-6 -4465)))) (-2992 (((-112) $ $) 87 (|has| |#1| (-861)))) (-2964 (((-112) $ $) 89 (|has| |#1| (-861)))) (-2925 (((-112) $ $) 19 (|has| |#1| (-102)))) (-2978 (((-112) $ $) 88 (|has| |#1| (-861)))) (-2950 (((-112) $ $) 90 (|has| |#1| (-861)))) (-3503 (((-783) $) 6 (|has| $ (-6 -4465))))) 
 (((-19 |#1|) (-141) (-1238)) (T -19)) 
 NIL 
-(-13 (-384 |t#1|) (-10 -7 (-6 -4465))) 
-(((-34) . T) ((-102) -2758 (|has| |#1| (-1121)) (|has| |#1| (-861)) (|has| |#1| (-102))) ((-625 (-876)) -2758 (|has| |#1| (-1121)) (|has| |#1| (-861)) (|has| |#1| (-625 (-876)))) ((-152 |#1|) . T) ((-626 (-548)) |has| |#1| (-626 (-548))) ((-296 #0=(-576) |#1|) . T) ((-296 (-1255 (-576)) $) . T) ((-298 #0# |#1|) . T) ((-319 |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))) ((-384 |#1|) . T) ((-501 |#1|) . T) ((-616 #0# |#1|) . T) ((-526 |#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))) ((-663 |#1|) . T) ((-861) |has| |#1| (-861)) ((-864) |has| |#1| (-861)) ((-1121) -2758 (|has| |#1| (-1121)) (|has| |#1| (-861))) ((-1238) . T)) 
-((-2780 (((-3 $ "failed") $ $) 12)) (-3043 (($ $) NIL) (($ $ $) 9)) (* (($ (-940) $) NIL) (($ (-783) $) 16) (($ (-576) $) 26))) 
-(((-20 |#1|) (-10 -8 (-15 -3043 (|#1| |#1| |#1|)) (-15 -3043 (|#1| |#1|)) (-15 * (|#1| (-576) |#1|)) (-15 -2780 ((-3 |#1| "failed") |#1| |#1|)) (-15 * (|#1| (-783) |#1|)) (-15 * (|#1| (-940) |#1|))) (-21)) (T -20)) 
+(-13 (-384 |t#1|) (-10 -7 (-6 -4466))) 
+(((-34) . T) ((-102) -2760 (|has| |#1| (-1121)) (|has| |#1| (-861)) (|has| |#1| (-102))) ((-625 (-876)) -2760 (|has| |#1| (-1121)) (|has| |#1| (-861)) (|has| |#1| (-625 (-876)))) ((-152 |#1|) . T) ((-626 (-548)) |has| |#1| (-626 (-548))) ((-296 #0=(-576) |#1|) . T) ((-296 (-1255 (-576)) $) . T) ((-298 #0# |#1|) . T) ((-319 |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))) ((-384 |#1|) . T) ((-501 |#1|) . T) ((-616 #0# |#1|) . T) ((-526 |#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))) ((-663 |#1|) . T) ((-861) |has| |#1| (-861)) ((-864) |has| |#1| (-861)) ((-1121) -2760 (|has| |#1| (-1121)) (|has| |#1| (-861))) ((-1238) . T)) 
+((-4367 (((-3 $ "failed") $ $) 12)) (-3044 (($ $) NIL) (($ $ $) 9)) (* (($ (-940) $) NIL) (($ (-783) $) 16) (($ (-576) $) 26))) 
+(((-20 |#1|) (-10 -8 (-15 -3044 (|#1| |#1| |#1|)) (-15 -3044 (|#1| |#1|)) (-15 * (|#1| (-576) |#1|)) (-15 -4367 ((-3 |#1| "failed") |#1| |#1|)) (-15 * (|#1| (-783) |#1|)) (-15 * (|#1| (-940) |#1|))) (-21)) (T -20)) 
 NIL 
-(-10 -8 (-15 -3043 (|#1| |#1| |#1|)) (-15 -3043 (|#1| |#1|)) (-15 * (|#1| (-576) |#1|)) (-15 -2780 ((-3 |#1| "failed") |#1| |#1|)) (-15 * (|#1| (-783) |#1|)) (-15 * (|#1| (-940) |#1|))) 
-((-3488 (((-112) $ $) 7)) (-1812 (((-112) $) 17)) (-2780 (((-3 $ "failed") $ $) 20)) (-3306 (($) 18 T CONST)) (-1413 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3569 (((-876) $) 12)) (-2113 (((-112) $ $) 6)) (-2719 (($) 19 T CONST)) (-2923 (((-112) $ $) 8)) (-3043 (($ $) 23) (($ $ $) 22)) (-3029 (($ $ $) 15)) (* (($ (-940) $) 14) (($ (-783) $) 16) (($ (-576) $) 24))) 
+(-10 -8 (-15 -3044 (|#1| |#1| |#1|)) (-15 -3044 (|#1| |#1|)) (-15 * (|#1| (-576) |#1|)) (-15 -4367 ((-3 |#1| "failed") |#1| |#1|)) (-15 * (|#1| (-783) |#1|)) (-15 * (|#1| (-940) |#1|))) 
+((-3489 (((-112) $ $) 7)) (-4308 (((-112) $) 17)) (-4367 (((-3 $ "failed") $ $) 20)) (-3886 (($) 18 T CONST)) (-3699 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3570 (((-876) $) 12)) (-4055 (((-112) $ $) 6)) (-2721 (($) 19 T CONST)) (-2925 (((-112) $ $) 8)) (-3044 (($ $) 23) (($ $ $) 22)) (-3030 (($ $ $) 15)) (* (($ (-940) $) 14) (($ (-783) $) 16) (($ (-576) $) 24))) 
 (((-21) (-141)) (T -21)) 
-((-3043 (*1 *1 *1) (-4 *1 (-21))) (-3043 (*1 *1 *1 *1) (-4 *1 (-21)))) 
-(-13 (-132) (-658 (-576)) (-10 -8 (-15 -3043 ($ $)) (-15 -3043 ($ $ $)))) 
+((-3044 (*1 *1 *1) (-4 *1 (-21))) (-3044 (*1 *1 *1 *1) (-4 *1 (-21)))) 
+(-13 (-132) (-658 (-576)) (-10 -8 (-15 -3044 ($ $)) (-15 -3044 ($ $ $)))) 
 (((-23) . T) ((-25) . T) ((-102) . T) ((-132) . T) ((-625 (-876)) . T) ((-658 (-576)) . T) ((-1121) . T) ((-1238) . T)) 
-((-1812 (((-112) $) 10)) (-3306 (($) 15)) (* (($ (-940) $) 14) (($ (-783) $) 19))) 
-(((-22 |#1|) (-10 -8 (-15 * (|#1| (-783) |#1|)) (-15 -1812 ((-112) |#1|)) (-15 -3306 (|#1|)) (-15 * (|#1| (-940) |#1|))) (-23)) (T -22)) 
+((-4308 (((-112) $) 10)) (-3886 (($) 15)) (* (($ (-940) $) 14) (($ (-783) $) 19))) 
+(((-22 |#1|) (-10 -8 (-15 * (|#1| (-783) |#1|)) (-15 -4308 ((-112) |#1|)) (-15 -3886 (|#1|)) (-15 * (|#1| (-940) |#1|))) (-23)) (T -22)) 
 NIL 
-(-10 -8 (-15 * (|#1| (-783) |#1|)) (-15 -1812 ((-112) |#1|)) (-15 -3306 (|#1|)) (-15 * (|#1| (-940) |#1|))) 
-((-3488 (((-112) $ $) 7)) (-1812 (((-112) $) 17)) (-3306 (($) 18 T CONST)) (-1413 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3569 (((-876) $) 12)) (-2113 (((-112) $ $) 6)) (-2719 (($) 19 T CONST)) (-2923 (((-112) $ $) 8)) (-3029 (($ $ $) 15)) (* (($ (-940) $) 14) (($ (-783) $) 16))) 
+(-10 -8 (-15 * (|#1| (-783) |#1|)) (-15 -4308 ((-112) |#1|)) (-15 -3886 (|#1|)) (-15 * (|#1| (-940) |#1|))) 
+((-3489 (((-112) $ $) 7)) (-4308 (((-112) $) 17)) (-3886 (($) 18 T CONST)) (-3699 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3570 (((-876) $) 12)) (-4055 (((-112) $ $) 6)) (-2721 (($) 19 T CONST)) (-2925 (((-112) $ $) 8)) (-3030 (($ $ $) 15)) (* (($ (-940) $) 14) (($ (-783) $) 16))) 
 (((-23) (-141)) (T -23)) 
-((-2719 (*1 *1) (-4 *1 (-23))) (-3306 (*1 *1) (-4 *1 (-23))) (-1812 (*1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-112)))) (* (*1 *1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-783))))) 
-(-13 (-25) (-10 -8 (-15 (-2719) ($) -1480) (-15 -3306 ($) -1480) (-15 -1812 ((-112) $)) (-15 * ($ (-783) $)))) 
+((-2721 (*1 *1) (-4 *1 (-23))) (-3886 (*1 *1) (-4 *1 (-23))) (-4308 (*1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-112)))) (* (*1 *1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-783))))) 
+(-13 (-25) (-10 -8 (-15 (-2721) ($) -1480) (-15 -3886 ($) -1480) (-15 -4308 ((-112) $)) (-15 * ($ (-783) $)))) 
 (((-25) . T) ((-102) . T) ((-625 (-876)) . T) ((-1121) . T) ((-1238) . T)) 
 ((* (($ (-940) $) 10))) 
 (((-24 |#1|) (-10 -8 (-15 * (|#1| (-940) |#1|))) (-25)) (T -24)) 
 NIL 
 (-10 -8 (-15 * (|#1| (-940) |#1|))) 
-((-3488 (((-112) $ $) 7)) (-1413 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3569 (((-876) $) 12)) (-2113 (((-112) $ $) 6)) (-2923 (((-112) $ $) 8)) (-3029 (($ $ $) 15)) (* (($ (-940) $) 14))) 
+((-3489 (((-112) $ $) 7)) (-3699 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3570 (((-876) $) 12)) (-4055 (((-112) $ $) 6)) (-2925 (((-112) $ $) 8)) (-3030 (($ $ $) 15)) (* (($ (-940) $) 14))) 
 (((-25) (-141)) (T -25)) 
-((-3029 (*1 *1 *1 *1) (-4 *1 (-25))) (* (*1 *1 *2 *1) (-12 (-4 *1 (-25)) (-5 *2 (-940))))) 
-(-13 (-1121) (-10 -8 (-15 -3029 ($ $ $)) (-15 * ($ (-940) $)))) 
+((-3030 (*1 *1 *1 *1) (-4 *1 (-25))) (* (*1 *1 *2 *1) (-12 (-4 *1 (-25)) (-5 *2 (-940))))) 
+(-13 (-1121) (-10 -8 (-15 -3030 ($ $ $)) (-15 * ($ (-940) $)))) 
 (((-102) . T) ((-625 (-876)) . T) ((-1121) . T) ((-1238) . T)) 
-((-3668 (((-656 $) (-971 $)) 32) (((-656 $) (-1193 $)) 16) (((-656 $) (-1193 $) (-1197)) 20)) (-1842 (($ (-971 $)) 30) (($ (-1193 $)) 11) (($ (-1193 $) (-1197)) 60)) (-1754 (((-656 $) (-971 $)) 33) (((-656 $) (-1193 $)) 18) (((-656 $) (-1193 $) (-1197)) 19)) (-4077 (($ (-971 $)) 31) (($ (-1193 $)) 13) (($ (-1193 $) (-1197)) NIL))) 
-(((-26 |#1|) (-10 -8 (-15 -3668 ((-656 |#1|) (-1193 |#1|) (-1197))) (-15 -3668 ((-656 |#1|) (-1193 |#1|))) (-15 -3668 ((-656 |#1|) (-971 |#1|))) (-15 -1842 (|#1| (-1193 |#1|) (-1197))) (-15 -1842 (|#1| (-1193 |#1|))) (-15 -1842 (|#1| (-971 |#1|))) (-15 -1754 ((-656 |#1|) (-1193 |#1|) (-1197))) (-15 -1754 ((-656 |#1|) (-1193 |#1|))) (-15 -1754 ((-656 |#1|) (-971 |#1|))) (-15 -4077 (|#1| (-1193 |#1|) (-1197))) (-15 -4077 (|#1| (-1193 |#1|))) (-15 -4077 (|#1| (-971 |#1|)))) (-27)) (T -26)) 
+((-3052 (((-656 $) (-971 $)) 32) (((-656 $) (-1193 $)) 16) (((-656 $) (-1193 $) (-1197)) 20)) (-3346 (($ (-971 $)) 30) (($ (-1193 $)) 11) (($ (-1193 $) (-1197)) 60)) (-1796 (((-656 $) (-971 $)) 33) (((-656 $) (-1193 $)) 18) (((-656 $) (-1193 $) (-1197)) 19)) (-2607 (($ (-971 $)) 31) (($ (-1193 $)) 13) (($ (-1193 $) (-1197)) NIL))) 
+(((-26 |#1|) (-10 -8 (-15 -3052 ((-656 |#1|) (-1193 |#1|) (-1197))) (-15 -3052 ((-656 |#1|) (-1193 |#1|))) (-15 -3052 ((-656 |#1|) (-971 |#1|))) (-15 -3346 (|#1| (-1193 |#1|) (-1197))) (-15 -3346 (|#1| (-1193 |#1|))) (-15 -3346 (|#1| (-971 |#1|))) (-15 -1796 ((-656 |#1|) (-1193 |#1|) (-1197))) (-15 -1796 ((-656 |#1|) (-1193 |#1|))) (-15 -1796 ((-656 |#1|) (-971 |#1|))) (-15 -2607 (|#1| (-1193 |#1|) (-1197))) (-15 -2607 (|#1| (-1193 |#1|))) (-15 -2607 (|#1| (-971 |#1|)))) (-27)) (T -26)) 
 NIL 
-(-10 -8 (-15 -3668 ((-656 |#1|) (-1193 |#1|) (-1197))) (-15 -3668 ((-656 |#1|) (-1193 |#1|))) (-15 -3668 ((-656 |#1|) (-971 |#1|))) (-15 -1842 (|#1| (-1193 |#1|) (-1197))) (-15 -1842 (|#1| (-1193 |#1|))) (-15 -1842 (|#1| (-971 |#1|))) (-15 -1754 ((-656 |#1|) (-1193 |#1|) (-1197))) (-15 -1754 ((-656 |#1|) (-1193 |#1|))) (-15 -1754 ((-656 |#1|) (-971 |#1|))) (-15 -4077 (|#1| (-1193 |#1|) (-1197))) (-15 -4077 (|#1| (-1193 |#1|))) (-15 -4077 (|#1| (-971 |#1|)))) 
-((-3488 (((-112) $ $) 7)) (-3668 (((-656 $) (-971 $)) 88) (((-656 $) (-1193 $)) 87) (((-656 $) (-1193 $) (-1197)) 86)) (-1842 (($ (-971 $)) 91) (($ (-1193 $)) 90) (($ (-1193 $) (-1197)) 89)) (-1812 (((-112) $) 17)) (-3717 (((-2 (|:| -2876 $) (|:| -4451 $) (|:| |associate| $)) $) 47)) (-2544 (($ $) 46)) (-1574 (((-112) $) 44)) (-2780 (((-3 $ "failed") $ $) 20)) (-3420 (($ $) 81)) (-1770 (((-430 $) $) 80)) (-1839 (($ $) 100)) (-2420 (((-112) $ $) 65)) (-3306 (($) 18 T CONST)) (-1754 (((-656 $) (-971 $)) 94) (((-656 $) (-1193 $)) 93) (((-656 $) (-1193 $) (-1197)) 92)) (-4077 (($ (-971 $)) 97) (($ (-1193 $)) 96) (($ (-1193 $) (-1197)) 95)) (-3428 (($ $ $) 61)) (-3451 (((-3 $ "failed") $) 37)) (-3440 (($ $ $) 62)) (-2304 (((-2 (|:| -1714 (-656 $)) (|:| -4128 $)) (-656 $)) 57)) (-4169 (((-112) $) 79)) (-3215 (((-112) $) 35)) (-4336 (($ $ (-576)) 99)) (-1370 (((-3 (-656 $) "failed") (-656 $) $) 58)) (-3457 (($ $ $) 52) (($ (-656 $)) 51)) (-1413 (((-1179) $) 10)) (-2048 (($ $) 78)) (-1450 (((-1141) $) 11)) (-1727 (((-1193 $) (-1193 $) (-1193 $)) 50)) (-3498 (($ $ $) 54) (($ (-656 $)) 53)) (-1828 (((-430 $) $) 82)) (-3721 (((-2 (|:| |coef1| $) (|:| |coef2| $) (|:| -4128 $)) $ $) 60) (((-3 (-2 (|:| |coef1| $) (|:| |coef2| $)) "failed") $ $ $) 59)) (-3475 (((-3 $ "failed") $ $) 48)) (-4397 (((-3 (-656 $) "failed") (-656 $) $) 56)) (-2411 (((-783) $) 64)) (-2935 (((-2 (|:| -3015 $) (|:| -3599 $)) $ $) 63)) (-3569 (((-876) $) 12) (($ (-576)) 33) (($ $) 49) (($ (-419 (-576))) 74)) (-1778 (((-783)) 32 T CONST)) (-2113 (((-112) $ $) 6)) (-2537 (((-112) $ $) 45)) (-2719 (($) 19 T CONST)) (-2730 (($) 34 T CONST)) (-2923 (((-112) $ $) 8)) (-3056 (($ $ $) 73)) (-3043 (($ $) 23) (($ $ $) 22)) (-3029 (($ $ $) 15)) (** (($ $ (-940)) 28) (($ $ (-783)) 36) (($ $ (-576)) 77) (($ $ (-419 (-576))) 98)) (* (($ (-940) $) 14) (($ (-783) $) 16) (($ (-576) $) 24) (($ $ $) 27) (($ $ (-419 (-576))) 76) (($ (-419 (-576)) $) 75))) 
+(-10 -8 (-15 -3052 ((-656 |#1|) (-1193 |#1|) (-1197))) (-15 -3052 ((-656 |#1|) (-1193 |#1|))) (-15 -3052 ((-656 |#1|) (-971 |#1|))) (-15 -3346 (|#1| (-1193 |#1|) (-1197))) (-15 -3346 (|#1| (-1193 |#1|))) (-15 -3346 (|#1| (-971 |#1|))) (-15 -1796 ((-656 |#1|) (-1193 |#1|) (-1197))) (-15 -1796 ((-656 |#1|) (-1193 |#1|))) (-15 -1796 ((-656 |#1|) (-971 |#1|))) (-15 -2607 (|#1| (-1193 |#1|) (-1197))) (-15 -2607 (|#1| (-1193 |#1|))) (-15 -2607 (|#1| (-971 |#1|)))) 
+((-3489 (((-112) $ $) 7)) (-3052 (((-656 $) (-971 $)) 88) (((-656 $) (-1193 $)) 87) (((-656 $) (-1193 $) (-1197)) 86)) (-3346 (($ (-971 $)) 91) (($ (-1193 $)) 90) (($ (-1193 $) (-1197)) 89)) (-4308 (((-112) $) 17)) (-2246 (((-2 (|:| -2778 $) (|:| -4452 $) (|:| |associate| $)) $) 47)) (-2757 (($ $) 46)) (-3788 (((-112) $) 44)) (-4367 (((-3 $ "failed") $ $) 20)) (-2487 (($ $) 81)) (-3921 (((-430 $) $) 80)) (-1839 (($ $) 100)) (-4016 (((-112) $ $) 65)) (-3886 (($) 18 T CONST)) (-1796 (((-656 $) (-971 $)) 94) (((-656 $) (-1193 $)) 93) (((-656 $) (-1193 $) (-1197)) 92)) (-2607 (($ (-971 $)) 97) (($ (-1193 $)) 96) (($ (-1193 $) (-1197)) 95)) (-3429 (($ $ $) 61)) (-1561 (((-3 $ "failed") $) 37)) (-3441 (($ $ $) 62)) (-2174 (((-2 (|:| -1714 (-656 $)) (|:| -4129 $)) (-656 $)) 57)) (-4249 (((-112) $) 79)) (-4193 (((-112) $) 35)) (-2121 (($ $ (-576)) 99)) (-3872 (((-3 (-656 $) "failed") (-656 $) $) 58)) (-3458 (($ $ $) 52) (($ (-656 $)) 51)) (-3699 (((-1179) $) 10)) (-2050 (($ $) 78)) (-1450 (((-1141) $) 11)) (-1531 (((-1193 $) (-1193 $) (-1193 $)) 50)) (-3498 (($ $ $) 54) (($ (-656 $)) 53)) (-1828 (((-430 $) $) 82)) (-2288 (((-2 (|:| |coef1| $) (|:| |coef2| $) (|:| -4129 $)) $ $) 60) (((-3 (-2 (|:| |coef1| $) (|:| |coef2| $)) "failed") $ $ $) 59)) (-3476 (((-3 $ "failed") $ $) 48)) (-2722 (((-3 (-656 $) "failed") (-656 $) $) 56)) (-1967 (((-783) $) 64)) (-3274 (((-2 (|:| -2715 $) (|:| -3624 $)) $ $) 63)) (-3570 (((-876) $) 12) (($ (-576)) 33) (($ $) 49) (($ (-419 (-576))) 74)) (-3996 (((-783)) 32 T CONST)) (-4055 (((-112) $ $) 6)) (-2672 (((-112) $ $) 45)) (-2721 (($) 19 T CONST)) (-2732 (($) 34 T CONST)) (-2925 (((-112) $ $) 8)) (-3057 (($ $ $) 73)) (-3044 (($ $) 23) (($ $ $) 22)) (-3030 (($ $ $) 15)) (** (($ $ (-940)) 28) (($ $ (-783)) 36) (($ $ (-576)) 77) (($ $ (-419 (-576))) 98)) (* (($ (-940) $) 14) (($ (-783) $) 16) (($ (-576) $) 24) (($ $ $) 27) (($ $ (-419 (-576))) 76) (($ (-419 (-576)) $) 75))) 
 (((-27) (-141)) (T -27)) 
-((-4077 (*1 *1 *2) (-12 (-5 *2 (-971 *1)) (-4 *1 (-27)))) (-4077 (*1 *1 *2) (-12 (-5 *2 (-1193 *1)) (-4 *1 (-27)))) (-4077 (*1 *1 *2 *3) (-12 (-5 *2 (-1193 *1)) (-5 *3 (-1197)) (-4 *1 (-27)))) (-1754 (*1 *2 *3) (-12 (-5 *3 (-971 *1)) (-4 *1 (-27)) (-5 *2 (-656 *1)))) (-1754 (*1 *2 *3) (-12 (-5 *3 (-1193 *1)) (-4 *1 (-27)) (-5 *2 (-656 *1)))) (-1754 (*1 *2 *3 *4) (-12 (-5 *3 (-1193 *1)) (-5 *4 (-1197)) (-4 *1 (-27)) (-5 *2 (-656 *1)))) (-1842 (*1 *1 *2) (-12 (-5 *2 (-971 *1)) (-4 *1 (-27)))) (-1842 (*1 *1 *2) (-12 (-5 *2 (-1193 *1)) (-4 *1 (-27)))) (-1842 (*1 *1 *2 *3) (-12 (-5 *2 (-1193 *1)) (-5 *3 (-1197)) (-4 *1 (-27)))) (-3668 (*1 *2 *3) (-12 (-5 *3 (-971 *1)) (-4 *1 (-27)) (-5 *2 (-656 *1)))) (-3668 (*1 *2 *3) (-12 (-5 *3 (-1193 *1)) (-4 *1 (-27)) (-5 *2 (-656 *1)))) (-3668 (*1 *2 *3 *4) (-12 (-5 *3 (-1193 *1)) (-5 *4 (-1197)) (-4 *1 (-27)) (-5 *2 (-656 *1))))) 
-(-13 (-374) (-1023) (-10 -8 (-15 -4077 ($ (-971 $))) (-15 -4077 ($ (-1193 $))) (-15 -4077 ($ (-1193 $) (-1197))) (-15 -1754 ((-656 $) (-971 $))) (-15 -1754 ((-656 $) (-1193 $))) (-15 -1754 ((-656 $) (-1193 $) (-1197))) (-15 -1842 ($ (-971 $))) (-15 -1842 ($ (-1193 $))) (-15 -1842 ($ (-1193 $) (-1197))) (-15 -3668 ((-656 $) (-971 $))) (-15 -3668 ((-656 $) (-1193 $))) (-15 -3668 ((-656 $) (-1193 $) (-1197))))) 
+((-2607 (*1 *1 *2) (-12 (-5 *2 (-971 *1)) (-4 *1 (-27)))) (-2607 (*1 *1 *2) (-12 (-5 *2 (-1193 *1)) (-4 *1 (-27)))) (-2607 (*1 *1 *2 *3) (-12 (-5 *2 (-1193 *1)) (-5 *3 (-1197)) (-4 *1 (-27)))) (-1796 (*1 *2 *3) (-12 (-5 *3 (-971 *1)) (-4 *1 (-27)) (-5 *2 (-656 *1)))) (-1796 (*1 *2 *3) (-12 (-5 *3 (-1193 *1)) (-4 *1 (-27)) (-5 *2 (-656 *1)))) (-1796 (*1 *2 *3 *4) (-12 (-5 *3 (-1193 *1)) (-5 *4 (-1197)) (-4 *1 (-27)) (-5 *2 (-656 *1)))) (-3346 (*1 *1 *2) (-12 (-5 *2 (-971 *1)) (-4 *1 (-27)))) (-3346 (*1 *1 *2) (-12 (-5 *2 (-1193 *1)) (-4 *1 (-27)))) (-3346 (*1 *1 *2 *3) (-12 (-5 *2 (-1193 *1)) (-5 *3 (-1197)) (-4 *1 (-27)))) (-3052 (*1 *2 *3) (-12 (-5 *3 (-971 *1)) (-4 *1 (-27)) (-5 *2 (-656 *1)))) (-3052 (*1 *2 *3) (-12 (-5 *3 (-1193 *1)) (-4 *1 (-27)) (-5 *2 (-656 *1)))) (-3052 (*1 *2 *3 *4) (-12 (-5 *3 (-1193 *1)) (-5 *4 (-1197)) (-4 *1 (-27)) (-5 *2 (-656 *1))))) 
+(-13 (-374) (-1023) (-10 -8 (-15 -2607 ($ (-971 $))) (-15 -2607 ($ (-1193 $))) (-15 -2607 ($ (-1193 $) (-1197))) (-15 -1796 ((-656 $) (-971 $))) (-15 -1796 ((-656 $) (-1193 $))) (-15 -1796 ((-656 $) (-1193 $) (-1197))) (-15 -3346 ($ (-971 $))) (-15 -3346 ($ (-1193 $))) (-15 -3346 ($ (-1193 $) (-1197))) (-15 -3052 ((-656 $) (-971 $))) (-15 -3052 ((-656 $) (-1193 $))) (-15 -3052 ((-656 $) (-1193 $) (-1197))))) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-38 #0=(-419 (-576))) . T) ((-38 $) . T) ((-102) . T) ((-111 #0# #0#) . T) ((-111 $ $) . T) ((-132) . T) ((-628 #0#) . T) ((-628 (-576)) . T) ((-628 $) . T) ((-625 (-876)) . T) ((-174) . T) ((-248) . T) ((-300) . T) ((-317) . T) ((-374) . T) ((-464) . T) ((-568) . T) ((-658 #0#) . T) ((-658 (-576)) . T) ((-658 $) . T) ((-660 #0#) . T) ((-660 $) . T) ((-652 #0#) . T) ((-652 $) . T) ((-729 #0#) . T) ((-729 $) . T) ((-738) . T) ((-939) . T) ((-1023) . T) ((-1072 #0#) . T) ((-1072 $) . T) ((-1077 #0#) . T) ((-1077 $) . T) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1238) . T) ((-1242) . T)) 
-((-3668 (((-656 $) (-971 $)) NIL) (((-656 $) (-1193 $)) NIL) (((-656 $) (-1193 $) (-1197)) 55) (((-656 $) $) 22) (((-656 $) $ (-1197)) 46)) (-1842 (($ (-971 $)) NIL) (($ (-1193 $)) NIL) (($ (-1193 $) (-1197)) 57) (($ $) 20) (($ $ (-1197)) 40)) (-1754 (((-656 $) (-971 $)) NIL) (((-656 $) (-1193 $)) NIL) (((-656 $) (-1193 $) (-1197)) 53) (((-656 $) $) 18) (((-656 $) $ (-1197)) 48)) (-4077 (($ (-971 $)) NIL) (($ (-1193 $)) NIL) (($ (-1193 $) (-1197)) NIL) (($ $) 15) (($ $ (-1197)) 42))) 
-(((-28 |#1| |#2|) (-10 -8 (-15 -3668 ((-656 |#1|) |#1| (-1197))) (-15 -1842 (|#1| |#1| (-1197))) (-15 -3668 ((-656 |#1|) |#1|)) (-15 -1842 (|#1| |#1|)) (-15 -1754 ((-656 |#1|) |#1| (-1197))) (-15 -4077 (|#1| |#1| (-1197))) (-15 -1754 ((-656 |#1|) |#1|)) (-15 -4077 (|#1| |#1|)) (-15 -3668 ((-656 |#1|) (-1193 |#1|) (-1197))) (-15 -3668 ((-656 |#1|) (-1193 |#1|))) (-15 -3668 ((-656 |#1|) (-971 |#1|))) (-15 -1842 (|#1| (-1193 |#1|) (-1197))) (-15 -1842 (|#1| (-1193 |#1|))) (-15 -1842 (|#1| (-971 |#1|))) (-15 -1754 ((-656 |#1|) (-1193 |#1|) (-1197))) (-15 -1754 ((-656 |#1|) (-1193 |#1|))) (-15 -1754 ((-656 |#1|) (-971 |#1|))) (-15 -4077 (|#1| (-1193 |#1|) (-1197))) (-15 -4077 (|#1| (-1193 |#1|))) (-15 -4077 (|#1| (-971 |#1|)))) (-29 |#2|) (-568)) (T -28)) 
+((-3052 (((-656 $) (-971 $)) NIL) (((-656 $) (-1193 $)) NIL) (((-656 $) (-1193 $) (-1197)) 55) (((-656 $) $) 22) (((-656 $) $ (-1197)) 46)) (-3346 (($ (-971 $)) NIL) (($ (-1193 $)) NIL) (($ (-1193 $) (-1197)) 57) (($ $) 20) (($ $ (-1197)) 40)) (-1796 (((-656 $) (-971 $)) NIL) (((-656 $) (-1193 $)) NIL) (((-656 $) (-1193 $) (-1197)) 53) (((-656 $) $) 18) (((-656 $) $ (-1197)) 48)) (-2607 (($ (-971 $)) NIL) (($ (-1193 $)) NIL) (($ (-1193 $) (-1197)) NIL) (($ $) 15) (($ $ (-1197)) 42))) 
+(((-28 |#1| |#2|) (-10 -8 (-15 -3052 ((-656 |#1|) |#1| (-1197))) (-15 -3346 (|#1| |#1| (-1197))) (-15 -3052 ((-656 |#1|) |#1|)) (-15 -3346 (|#1| |#1|)) (-15 -1796 ((-656 |#1|) |#1| (-1197))) (-15 -2607 (|#1| |#1| (-1197))) (-15 -1796 ((-656 |#1|) |#1|)) (-15 -2607 (|#1| |#1|)) (-15 -3052 ((-656 |#1|) (-1193 |#1|) (-1197))) (-15 -3052 ((-656 |#1|) (-1193 |#1|))) (-15 -3052 ((-656 |#1|) (-971 |#1|))) (-15 -3346 (|#1| (-1193 |#1|) (-1197))) (-15 -3346 (|#1| (-1193 |#1|))) (-15 -3346 (|#1| (-971 |#1|))) (-15 -1796 ((-656 |#1|) (-1193 |#1|) (-1197))) (-15 -1796 ((-656 |#1|) (-1193 |#1|))) (-15 -1796 ((-656 |#1|) (-971 |#1|))) (-15 -2607 (|#1| (-1193 |#1|) (-1197))) (-15 -2607 (|#1| (-1193 |#1|))) (-15 -2607 (|#1| (-971 |#1|)))) (-29 |#2|) (-568)) (T -28)) 
 NIL 
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-NIL 
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-NIL 
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+NIL 
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 (((-38 |#1|) (-141) (-174)) (T -38)) 
 NIL 
 (-13 (-1070) (-729 |t#1|) (-628 |t#1|)) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-111 |#1| |#1|) . T) ((-132) . T) ((-628 (-576)) . T) ((-628 |#1|) . T) ((-625 (-876)) . T) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 |#1|) . T) ((-660 $) . T) ((-652 |#1|) . T) ((-729 |#1|) . T) ((-738) . T) ((-1072 |#1|) . T) ((-1077 |#1|) . T) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1238) . T)) 
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 NIL 
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 NIL 
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 NIL 
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 NIL 
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+NIL 
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 (((-93) (-141)) (T -93)) 
 NIL 
 (-13 (-1121) (-502 (-1202))) 
 (((-102) . T) ((-628 #0=(-1202)) . T) ((-625 (-876)) . T) ((-625 #0#) . T) ((-502 #0#) . T) ((-1121) . T) ((-1238) . T)) 
-((-3982 (($ $) 10)) (-3994 (($ $) 12))) 
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+((-3983 (($ $) 10)) (-3995 (($ $) 12))) 
+(((-94 |#1|) (-10 -8 (-15 -3995 (|#1| |#1|)) (-15 -3983 (|#1| |#1|))) (-95)) (T -94)) 
 NIL 
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 (((-95) (-141)) (T -95)) 
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-(((-96) (-13 (-1104) (-10 -8 (-15 -2627 ((-1156) $))))) (T -96)) 
-((-2627 (*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-96))))) 
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+(((-96) (-13 (-1104) (-10 -8 (-15 -2629 ((-1156) $))))) (T -96)) 
+((-2629 (*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-96))))) 
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 NIL 
 (((-98) (-141)) (T -98)) 
 NIL 
-(-13 (-10 -7 (-6 -4464) (-6 (-4466 "*")) (-6 -4465) (-6 -4461) (-6 -4459) (-6 -4458) (-6 -4457) (-6 -4462) (-6 -4456) (-6 -4455) (-6 -4454) (-6 -4453) (-6 -4452) (-6 -4460) (-6 -4463) (-6 |NullSquare|) (-6 |JacobiIdentity|) (-6 -4451))) 
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-(-13 (-485) (-296 |#1| |#1|) (-10 -8 (-15 -3219 ($ (-1 |#1| |#1|))) (-15 -3219 ($ (-1 |#1| |#1|) (-1 |#1| |#1|))) (-15 -3219 ($ (-1 |#1| |#1| (-576)))))) 
-((-3989 (((-430 |#2|) |#2| (-656 |#2|)) 10) (((-430 |#2|) |#2| |#2|) 11))) 
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-((-3989 (*1 *2 *3 *4) (-12 (-5 *4 (-656 *3)) (-4 *3 (-1264 *5)) (-4 *5 (-13 (-464) (-148))) (-5 *2 (-430 *3)) (-5 *1 (-100 *5 *3)))) (-3989 (*1 *2 *3 *3) (-12 (-4 *4 (-13 (-464) (-148))) (-5 *2 (-430 *3)) (-5 *1 (-100 *4 *3)) (-4 *3 (-1264 *4))))) 
-(-10 -7 (-15 -3989 ((-430 |#2|) |#2| |#2|)) (-15 -3989 ((-430 |#2|) |#2| (-656 |#2|)))) 
-((-3488 (((-112) $ $) 13)) (-2113 (((-112) $ $) 14)) (-2923 (((-112) $ $) 11))) 
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-NIL 
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-((-3488 (((-112) $ $) 7)) (-2113 (((-112) $ $) 6)) (-2923 (((-112) $ $) 8))) 
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+((-3489 (((-112) $ $) NIL)) (-3886 (($) NIL T CONST)) (-1561 (((-3 $ "failed") $) NIL)) (-4193 (((-112) $) NIL)) (-4232 (($ (-1 |#1| |#1|)) 27) (($ (-1 |#1| |#1|) (-1 |#1| |#1|)) 26) (($ (-1 |#1| |#1| (-576))) 24)) (-3699 (((-1179) $) NIL)) (-2050 (($ $) 16)) (-1450 (((-1141) $) NIL)) (-2797 ((|#1| $ |#1|) 13)) (-2314 (($ $ $) NIL)) (-2076 (($ $ $) NIL)) (-3570 (((-876) $) 22)) (-4055 (((-112) $ $) NIL)) (-2732 (($) 8 T CONST)) (-2925 (((-112) $ $) 10)) (-3057 (($ $ $) NIL)) (** (($ $ (-940)) 32) (($ $ (-783)) NIL) (($ $ (-576)) 18)) (* (($ $ $) 33))) 
+(((-99 |#1|) (-13 (-485) (-296 |#1| |#1|) (-10 -8 (-15 -4232 ($ (-1 |#1| |#1|))) (-15 -4232 ($ (-1 |#1| |#1|) (-1 |#1| |#1|))) (-15 -4232 ($ (-1 |#1| |#1| (-576)))))) (-1070)) (T -99)) 
+((-4232 (*1 *1 *2) (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1070)) (-5 *1 (-99 *3)))) (-4232 (*1 *1 *2 *2) (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1070)) (-5 *1 (-99 *3)))) (-4232 (*1 *1 *2) (-12 (-5 *2 (-1 *3 *3 (-576))) (-4 *3 (-1070)) (-5 *1 (-99 *3))))) 
+(-13 (-485) (-296 |#1| |#1|) (-10 -8 (-15 -4232 ($ (-1 |#1| |#1|))) (-15 -4232 ($ (-1 |#1| |#1|) (-1 |#1| |#1|))) (-15 -4232 ($ (-1 |#1| |#1| (-576)))))) 
+((-3083 (((-430 |#2|) |#2| (-656 |#2|)) 10) (((-430 |#2|) |#2| |#2|) 11))) 
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+((-3083 (*1 *2 *3 *4) (-12 (-5 *4 (-656 *3)) (-4 *3 (-1264 *5)) (-4 *5 (-13 (-464) (-148))) (-5 *2 (-430 *3)) (-5 *1 (-100 *5 *3)))) (-3083 (*1 *2 *3 *3) (-12 (-4 *4 (-13 (-464) (-148))) (-5 *2 (-430 *3)) (-5 *1 (-100 *4 *3)) (-4 *3 (-1264 *4))))) 
+(-10 -7 (-15 -3083 ((-430 |#2|) |#2| |#2|)) (-15 -3083 ((-430 |#2|) |#2| (-656 |#2|)))) 
+((-3489 (((-112) $ $) 13)) (-4055 (((-112) $ $) 14)) (-2925 (((-112) $ $) 11))) 
+(((-101 |#1|) (-10 -8 (-15 -4055 ((-112) |#1| |#1|)) (-15 -3489 ((-112) |#1| |#1|)) (-15 -2925 ((-112) |#1| |#1|))) (-102)) (T -101)) 
+NIL 
+(-10 -8 (-15 -4055 ((-112) |#1| |#1|)) (-15 -3489 ((-112) |#1| |#1|)) (-15 -2925 ((-112) |#1| |#1|))) 
+((-3489 (((-112) $ $) 7)) (-4055 (((-112) $ $) 6)) (-2925 (((-112) $ $) 8))) 
 (((-102) (-141)) (T -102)) 
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-(-13 (-1238) (-10 -8 (-15 -2923 ((-112) $ $)) (-15 -3488 ((-112) $ $)) (-15 -2113 ((-112) $ $)))) 
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 (((-1238) . T)) 
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-((-1470 (($ (-656 |#2|)) 11))) 
-(((-106 |#1| |#2|) (-10 -8 (-15 -1470 (|#1| (-656 |#2|)))) (-107 |#2|) (-1238)) (T -106)) 
-NIL 
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+((-3943 (($ (-656 |#2|)) 11))) 
+(((-106 |#1| |#2|) (-10 -8 (-15 -3943 (|#1| (-656 |#2|)))) (-107 |#2|) (-1238)) (T -106)) 
+NIL 
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 (((-107 |#1|) (-141) (-1238)) (T -107)) 
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 NIL 
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-NIL 
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 (((-138) (-13 (-1104) (-10 -8 (-15 -1657 ((-1156) $)) (-15 -1669 ((-1156) $))))) (T -138)) 
 ((-1657 (*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-138)))) (-1669 (*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-138))))) 
 (-13 (-1104) (-10 -8 (-15 -1657 ((-1156) $)) (-15 -1669 ((-1156) $)))) 
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-(((-139) (-13 (-1104) (-10 -8 (-15 -1747 ((-188) $)) (-15 -2639 ((-656 (-1156)) $))))) (T -139)) 
-((-1747 (*1 *2 *1) (-12 (-5 *2 (-188)) (-5 *1 (-139)))) (-2639 (*1 *2 *1) (-12 (-5 *2 (-656 (-1156))) (-5 *1 (-139))))) 
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 (((-140) (-13 (-187) (-625 (-189)))) (T -140)) 
 NIL 
 (-13 (-187) (-625 (-189))) 
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-((-2137 ((|#1| (-701 |#1|) |#1|) 19))) 
-(((-147 |#1|) (-10 -7 (-15 -2137 (|#1| (-701 |#1|) |#1|))) (-174)) (T -147)) 
-((-2137 (*1 *2 *3 *2) (-12 (-5 *3 (-701 *2)) (-4 *2 (-174)) (-5 *1 (-147 *2))))) 
-(-10 -7 (-15 -2137 (|#1| (-701 |#1|) |#1|))) 
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+((-4281 ((|#1| (-701 |#1|) |#1|) 19))) 
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+((-4281 (*1 *2 *3 *2) (-12 (-5 *3 (-701 *2)) (-4 *2 (-174)) (-5 *1 (-147 *2))))) 
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 (((-148) (-141)) (T -148)) 
 NIL 
 (-13 (-1070)) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-132) . T) ((-628 (-576)) . T) ((-625 (-876)) . T) ((-658 (-576)) . T) ((-658 $) . T) ((-660 $) . T) ((-738) . T) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1238) . T)) 
-((-3300 (((-2 (|:| -4210 (-783)) (|:| -1714 (-419 |#2|)) (|:| |radicand| |#2|)) (-419 |#2|) (-783)) 76)) (-3135 (((-3 (-2 (|:| |radicand| (-419 |#2|)) (|:| |deg| (-783))) "failed") |#3|) 56)) (-4108 (((-2 (|:| -1714 (-419 |#2|)) (|:| |poly| |#3|)) |#3|) 41)) (-2284 ((|#1| |#3| |#3|) 44)) (-3283 ((|#3| |#3| (-419 |#2|) (-419 |#2|)) 20)) (-2853 (((-2 (|:| |func| |#3|) (|:| |poly| |#3|) (|:| |c1| (-419 |#2|)) (|:| |c2| (-419 |#2|)) (|:| |deg| (-783))) |#3| |#3|) 53))) 
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-((-3807 (((-3 (-656 (-1193 |#2|)) "failed") (-656 (-1193 |#2|)) (-1193 |#2|)) 35))) 
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-((-3807 (*1 *2 *2 *3) (|partial| -12 (-5 *2 (-656 (-1193 *5))) (-5 *3 (-1193 *5)) (-4 *5 (-167 *4)) (-4 *4 (-557)) (-5 *1 (-150 *4 *5))))) 
-(-10 -7 (-15 -3807 ((-3 (-656 (-1193 |#2|)) "failed") (-656 (-1193 |#2|)) (-1193 |#2|)))) 
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-NIL 
-(-10 -8 (-15 -2800 (|#1| |#1|)) (-15 -3945 (|#1| |#2| |#1|)) (-15 -3685 (|#2| (-1 |#2| |#2| |#2|) |#1| |#2| |#2|)) (-15 -1971 (|#1| (-1 (-112) |#2|) |#1|)) (-15 -3945 (|#1| (-1 (-112) |#2|) |#1|)) (-15 -3685 (|#2| (-1 |#2| |#2| |#2|) |#1| |#2|)) (-15 -3685 (|#2| (-1 |#2| |#2| |#2|) |#1|)) (-15 -2366 ((-3 |#2| "failed") (-1 (-112) |#2|) |#1|)) (-15 -1460 ((-783) |#2| |#1|)) (-15 -1460 ((-783) (-1 (-112) |#2|) |#1|)) (-15 -3542 ((-112) (-1 (-112) |#2|) |#1|)) (-15 -2170 ((-112) (-1 (-112) |#2|) |#1|)) (-15 -3502 ((-783) |#1|))) 
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+((-1963 (((-3 (-656 (-1193 |#2|)) "failed") (-656 (-1193 |#2|)) (-1193 |#2|)) 35))) 
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+((-1963 (*1 *2 *2 *3) (|partial| -12 (-5 *2 (-656 (-1193 *5))) (-5 *3 (-1193 *5)) (-4 *5 (-167 *4)) (-4 *4 (-557)) (-5 *1 (-150 *4 *5))))) 
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+(((-155) (-13 (-1104) (-10 -8 (-15 -3067 ((-656 (-1156)) $)) (-15 -2641 ((-1156) $))))) (T -155)) 
+((-3067 (*1 *2 *1) (-12 (-5 *2 (-656 (-1156))) (-5 *1 (-155)))) (-2641 (*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-155))))) 
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+((-3451 (*1 *2 *3 *4) (-12 (-5 *2 (-656 (-171 *4))) (-5 *1 (-156 *3 *4)) (-4 *3 (-1264 (-171 (-576)))) (-4 *4 (-13 (-374) (-860)))))) 
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 (((-157) (-13 (-1104) (-10 -8 (-15 -1657 ((-1156) $)) (-15 -1669 ((-1237) $))))) (T -157)) 
 ((-1657 (*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-157)))) (-1669 (*1 *2 *1) (-12 (-5 *2 (-1237)) (-5 *1 (-157))))) 
 (-13 (-1104) (-10 -8 (-15 -1657 ((-1156) $)) (-15 -1669 ((-1237) $)))) 
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 NIL 
 (-13 (-167 |#1|) (-10 -7 (IF (|has| |#1| (-840)) (-6 (-840)) |%noBranch|))) 
-((-4171 (((-907 |#1|) |#3|) 22))) 
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 (((-174) (-141)) (T -174)) 
 NIL 
-(-13 (-1070) (-111 $ $) (-10 -7 (-6 (-4466 "*")))) 
+(-13 (-1070) (-111 $ $) (-10 -7 (-6 (-4467 "*")))) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-111 $ $) . T) ((-132) . T) ((-628 (-576)) . T) ((-625 (-876)) . T) ((-658 (-576)) . T) ((-658 $) . T) ((-660 $) . T) ((-738) . T) ((-1072 $) . T) ((-1077 $) . T) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1238) . T)) 
-((-1540 (($ $) 6))) 
+((-3423 (($ $) 6))) 
 (((-175) (-141)) (T -175)) 
-((-1540 (*1 *1 *1) (-4 *1 (-175)))) 
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-((-2137 ((|#2| |#3|) 28))) 
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-((-2137 (*1 *2 *3) (-12 (-4 *4 (-174)) (-4 *2 (-1264 *4)) (-5 *1 (-179 *4 *2 *3)) (-4 *3 (-736 *4 *2))))) 
-(-10 -7 (-15 -2137 (|#2| |#3|))) 
-((-2399 (((-904 |#1| |#3|) |#3| (-907 |#1|) (-904 |#1| |#3|)) 44 (|has| (-971 |#2|) (-901 |#1|))))) 
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-((-2399 (*1 *2 *3 *4 *2) (-12 (-5 *2 (-904 *5 *3)) (-5 *4 (-907 *5)) (-4 *5 (-1121)) (-4 *3 (-167 *6)) (-4 (-971 *6) (-901 *5)) (-4 *6 (-13 (-901 *5) (-174))) (-5 *1 (-180 *5 *6 *3))))) 
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-((-4054 (((-656 |#1|) (-656 |#1|) |#1|) 41)) (-1759 (((-656 |#1|) |#1| (-656 |#1|)) 20)) (-1535 (((-656 |#1|) (-656 (-656 |#1|)) (-656 |#1|)) 36) ((|#1| (-656 |#1|) (-656 |#1|)) 32))) 
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-((-3488 (((-112) $ $) NIL)) (-2983 (((-1237) $) 13)) (-1413 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3122 (((-1156) $) 10)) (-3569 (((-876) $) 20) (($ (-1202)) NIL) (((-1202) $) NIL)) (-2113 (((-112) $ $) NIL)) (-2923 (((-112) $ $) NIL))) 
-(((-182) (-13 (-1104) (-10 -8 (-15 -3122 ((-1156) $)) (-15 -2983 ((-1237) $))))) (T -182)) 
-((-3122 (*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-182)))) (-2983 (*1 *2 *1) (-12 (-5 *2 (-1237)) (-5 *1 (-182))))) 
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 (((-195) (-799)) (T -195)) 
 NIL 
 (-799) 
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 (((-196) (-799)) (T -196)) 
 NIL 
 (-799) 
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 (((-197) (-799)) (T -197)) 
 NIL 
 (-799) 
-((-3488 (((-112) $ $) NIL)) (-2303 (((-1056) (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1056)) 63) (((-1056) (-2 (|:| |fn| (-326 (-227))) (|:| -3343 (-656 (-1115 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1056)) NIL)) (-1973 (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179)) (|:| |extra| (-1056))) (-1084) (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 36) (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179)) (|:| |extra| (-1056))) (-1084) (-2 (|:| |fn| (-326 (-227))) (|:| -3343 (-656 (-1115 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) NIL)) (-1413 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3569 (((-876) $) NIL)) (-2113 (((-112) $ $) NIL)) (-2923 (((-112) $ $) NIL))) 
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 (((-198) (-799)) (T -198)) 
 NIL 
 (-799) 
-((-3488 (((-112) $ $) NIL)) (-2303 (((-1056) (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1056)) 76) (((-1056) (-2 (|:| |fn| (-326 (-227))) (|:| -3343 (-656 (-1115 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1056)) NIL)) (-1973 (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179)) (|:| |extra| (-1056))) (-1084) (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 40) (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179)) (|:| |extra| (-1056))) (-1084) (-2 (|:| |fn| (-326 (-227))) (|:| -3343 (-656 (-1115 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) NIL)) (-1413 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3569 (((-876) $) NIL)) (-2113 (((-112) $ $) NIL)) (-2923 (((-112) $ $) NIL))) 
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 (((-199) (-799)) (T -199)) 
 NIL 
 (-799) 
-((-3488 (((-112) $ $) NIL)) (-2303 (((-1056) (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1056)) 93) (((-1056) (-2 (|:| |fn| (-326 (-227))) (|:| -3343 (-656 (-1115 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1056)) NIL)) (-1973 (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179)) (|:| |extra| (-1056))) (-1084) (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 49) (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179)) (|:| |extra| (-1056))) (-1084) (-2 (|:| |fn| (-326 (-227))) (|:| -3343 (-656 (-1115 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) NIL)) (-1413 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3569 (((-876) $) NIL)) (-2113 (((-112) $ $) NIL)) (-2923 (((-112) $ $) NIL))) 
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 (((-200) (-799)) (T -200)) 
 NIL 
 (-799) 
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 (((-201) (-799)) (T -201)) 
 NIL 
 (-799) 
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 (((-202) (-799)) (T -202)) 
 NIL 
 (-799) 
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 (((-203) (-799)) (T -203)) 
 NIL 
 (-799) 
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 (((-204) (-799)) (T -204)) 
 NIL 
 (-799) 
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 (((-205) (-799)) (T -205)) 
 NIL 
 (-799) 
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+((-3489 (((-112) $ $) NIL)) (-2012 (((-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |xinit| (-227)) (|:| |xend| (-227)) (|:| |fn| (-1288 (-326 (-227)))) (|:| |yinit| (-656 (-227))) (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 43)) (-3699 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3570 (((-876) $) NIL)) (-4055 (((-112) $ $) NIL)) (-2446 (((-1056) (-2 (|:| |xinit| (-227)) (|:| |xend| (-227)) (|:| |fn| (-1288 (-326 (-227)))) (|:| |yinit| (-656 (-227))) (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 75)) (-2925 (((-112) $ $) NIL))) 
 (((-208) (-812)) (T -208)) 
 NIL 
 (-812) 
-((-3488 (((-112) $ $) NIL)) (-1973 (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |xinit| (-227)) (|:| |xend| (-227)) (|:| |fn| (-1288 (-326 (-227)))) (|:| |yinit| (-656 (-227))) (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 43)) (-1413 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3569 (((-876) $) NIL)) (-2113 (((-112) $ $) NIL)) (-1456 (((-1056) (-2 (|:| |xinit| (-227)) (|:| |xend| (-227)) (|:| |fn| (-1288 (-326 (-227)))) (|:| |yinit| (-656 (-227))) (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 73)) (-2923 (((-112) $ $) NIL))) 
+((-3489 (((-112) $ $) NIL)) (-2012 (((-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |xinit| (-227)) (|:| |xend| (-227)) (|:| |fn| (-1288 (-326 (-227)))) (|:| |yinit| (-656 (-227))) (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 43)) (-3699 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3570 (((-876) $) NIL)) (-4055 (((-112) $ $) NIL)) (-2446 (((-1056) (-2 (|:| |xinit| (-227)) (|:| |xend| (-227)) (|:| |fn| (-1288 (-326 (-227)))) (|:| |yinit| (-656 (-227))) (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 73)) (-2925 (((-112) $ $) NIL))) 
 (((-209) (-812)) (T -209)) 
 NIL 
 (-812) 
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 (((-210) (-812)) (T -210)) 
 NIL 
 (-812) 
-((-3488 (((-112) $ $) NIL)) (-1973 (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |xinit| (-227)) (|:| |xend| (-227)) (|:| |fn| (-1288 (-326 (-227)))) (|:| |yinit| (-656 (-227))) (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 48)) (-1413 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3569 (((-876) $) NIL)) (-2113 (((-112) $ $) NIL)) (-1456 (((-1056) (-2 (|:| |xinit| (-227)) (|:| |xend| (-227)) (|:| |fn| (-1288 (-326 (-227)))) (|:| |yinit| (-656 (-227))) (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 88)) (-2923 (((-112) $ $) NIL))) 
+((-3489 (((-112) $ $) NIL)) (-2012 (((-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |xinit| (-227)) (|:| |xend| (-227)) (|:| |fn| (-1288 (-326 (-227)))) (|:| |yinit| (-656 (-227))) (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 48)) (-3699 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3570 (((-876) $) NIL)) (-4055 (((-112) $ $) NIL)) (-2446 (((-1056) (-2 (|:| |xinit| (-227)) (|:| |xend| (-227)) (|:| |fn| (-1288 (-326 (-227)))) (|:| |yinit| (-656 (-227))) (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 88)) (-2925 (((-112) $ $) NIL))) 
 (((-211) (-812)) (T -211)) 
 NIL 
 (-812) 
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 (((-213) (-912)) (T -213)) 
 NIL 
 (-912) 
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 (((-214) (-912)) (T -214)) 
 NIL 
 (-912) 
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-(-10 -7 (-15 -4268 (|#2| |#4| (-1 |#2| |#2|)))) 
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 NIL 
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 (((-1238) . T)) 
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 (((-235 |#1|) (-141) (-1070)) (T -235)) 
 NIL 
 (-13 (-111 |t#1| |t#1|) (-237) (-10 -7 (IF (|has| |t#1| (-174)) (-6 (-729 |t#1|)) |%noBranch|))) 
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 NIL 
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 (((-238) (-141)) (T -238)) 
 NIL 
 (-13 (-1070) (-237)) 
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 NIL 
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 (((-245 |#1| |#2|) (-243 |#1| |#2|) (-783) (-1238)) (T -245)) 
 NIL 
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 (((-247 |#1|) (-10 -8 (-15 ** (|#1| |#1| (-576))) (-15 * (|#1| |#1| (-419 (-576)))) (-15 * (|#1| (-419 (-576)) |#1|)) (-15 ** (|#1| |#1| (-783))) (-15 * (|#1| |#1| |#1|)) (-15 ** (|#1| |#1| (-940))) (-15 * (|#1| (-576) |#1|)) (-15 * (|#1| (-783) |#1|)) (-15 * (|#1| (-940) |#1|))) (-248)) (T -247)) 
 NIL 
 (-10 -8 (-15 ** (|#1| |#1| (-576))) (-15 * (|#1| |#1| (-419 (-576)))) (-15 * (|#1| (-419 (-576)) |#1|)) (-15 ** (|#1| |#1| (-783))) (-15 * (|#1| |#1| |#1|)) (-15 ** (|#1| |#1| (-940))) (-15 * (|#1| (-576) |#1|)) (-15 * (|#1| (-783) |#1|)) (-15 * (|#1| (-940) |#1|))) 
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 (((-248) (-141)) (T -248)) 
-((** (*1 *1 *1 *2) (-12 (-4 *1 (-248)) (-5 *2 (-576)))) (-2048 (*1 *1 *1) (-4 *1 (-248)))) 
-(-13 (-300) (-38 (-419 (-576))) (-10 -8 (-15 ** ($ $ (-576))) (-15 -2048 ($ $)))) 
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+(-13 (-300) (-38 (-419 (-576))) (-10 -8 (-15 ** ($ $ (-576))) (-15 -2050 ($ $)))) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-38 #0=(-419 (-576))) . T) ((-102) . T) ((-111 #0# #0#) . T) ((-111 $ $) . T) ((-132) . T) ((-628 #0#) . T) ((-628 (-576)) . T) ((-625 (-876)) . T) ((-300) . T) ((-658 #0#) . T) ((-658 (-576)) . T) ((-658 $) . T) ((-660 #0#) . T) ((-660 $) . T) ((-652 #0#) . T) ((-729 #0#) . T) ((-738) . T) ((-1072 #0#) . T) ((-1072 $) . T) ((-1077 #0#) . T) ((-1077 $) . T) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1238) . T)) 
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 (((-249 |#1|) (-141) (-1238)) (T -249)) 
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 NIL 
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-((-3488 (((-112) $ $) 20 (|has| |#1| (-102)))) (-4074 ((|#1| $) 55)) (-1419 ((|#1| $) 45)) (-2396 (((-112) $ (-783)) 8)) (-3306 (($) 7 T CONST)) (-1703 (($ $) 61)) (-1474 (($ $) 49)) (-4232 ((|#1| |#1| $) 47)) (-2489 ((|#1| $) 46)) (-3965 (((-656 |#1|) $) 31 (|has| $ (-6 -4464)))) (-4252 (((-112) $ (-783)) 9)) (-2735 (((-656 |#1|) $) 30 (|has| $ (-6 -4464)))) (-3456 (((-112) |#1| $) 28 (-12 (|has| |#1| (-1121)) (|has| $ (-6 -4464))))) (-4322 (($ (-1 |#1| |#1|) $) 35 (|has| $ (-6 -4465)))) (-4116 (($ (-1 |#1| |#1|) $) 36)) (-3557 (((-112) $ (-783)) 10)) (-2434 (((-783) $) 62)) (-1413 (((-1179) $) 23 (|has| |#1| (-1121)))) (-3772 ((|#1| $) 40)) (-2681 ((|#1| |#1| $) 53)) (-3496 ((|#1| |#1| $) 52)) (-4436 (($ |#1| $) 41)) (-2325 (((-783) $) 56)) (-1450 (((-1141) $) 22 (|has| |#1| (-1121)))) (-4253 ((|#1| $) 63)) (-2523 ((|#1| $) 51)) (-3403 ((|#1| $) 50)) (-3267 ((|#1| $) 42)) (-3542 (((-112) (-1 (-112) |#1|) $) 33 (|has| $ (-6 -4464)))) (-3283 (($ $ (-656 (-304 |#1|))) 27 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ (-304 |#1|)) 26 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ |#1| |#1|) 25 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ (-656 |#1|) (-656 |#1|)) 24 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))))) (-3509 (((-112) $ $) 14)) (-1641 ((|#1| |#1| $) 59)) (-2866 (((-112) $) 11)) (-3839 (($) 12)) (-3914 ((|#1| $) 60)) (-3039 (($) 58) (($ (-656 |#1|)) 57)) (-1887 (((-783) $) 44)) (-1460 (((-783) (-1 (-112) |#1|) $) 32 (|has| $ (-6 -4464))) (((-783) |#1| $) 29 (-12 (|has| |#1| (-1121)) (|has| $ (-6 -4464))))) (-1870 (($ $) 13)) (-3569 (((-876) $) 18 (|has| |#1| (-625 (-876))))) (-4357 ((|#1| $) 54)) (-2113 (((-112) $ $) 21 (|has| |#1| (-102)))) (-1470 (($ (-656 |#1|)) 43)) (-3786 ((|#1| $) 64)) (-2170 (((-112) (-1 (-112) |#1|) $) 34 (|has| $ (-6 -4464)))) (-2923 (((-112) $ $) 19 (|has| |#1| (-102)))) (-3502 (((-783) $) 6 (|has| $ (-6 -4464))))) 
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@@ -1042,1413 +1042,1413 @@ NIL
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-((-2577 (*1 *2 *3 *4) (|partial| -12 (-5 *3 (-656 (-270))) (-5 *4 (-1197)) (-5 *1 (-269 *2)) (-4 *2 (-1238))))) 
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-NIL 
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 (((-273 |#1| |#2| |#3|) (-13 (-260 |#1| |#2| |#3| (-543 |#3|)) (-1059 (-1146 |#1| |#2|))) (-1070) (-861) (-275 |#2|)) (T -273)) 
 NIL 
 (-13 (-260 |#1| |#2| |#3| (-543 |#3|)) (-1059 (-1146 |#1| |#2|))) 
-((-2724 (((-783) $) 37)) (-1572 (((-3 |#2| "failed") $) 22)) (-2859 ((|#2| $) 33)) (-2773 (($ $ (-783)) 18) (($ $) 14)) (-3569 (((-876) $) 32) (($ |#2|) 11)) (-2923 (((-112) $ $) 26)) (-2948 (((-112) $ $) 36))) 
-(((-274 |#1| |#2|) (-10 -8 (-15 -2724 ((-783) |#1|)) (-15 -3569 (|#1| |#2|)) (-15 -1572 ((-3 |#2| "failed") |#1|)) (-15 -2859 (|#2| |#1|)) (-15 -2773 (|#1| |#1|)) (-15 -2773 (|#1| |#1| (-783))) (-15 -2948 ((-112) |#1| |#1|)) (-15 -3569 ((-876) |#1|)) (-15 -2923 ((-112) |#1| |#1|))) (-275 |#2|) (-861)) (T -274)) 
+((-1920 (((-783) $) 37)) (-1572 (((-3 |#2| "failed") $) 22)) (-2860 ((|#2| $) 33)) (-2775 (($ $ (-783)) 18) (($ $) 14)) (-3570 (((-876) $) 32) (($ |#2|) 11)) (-2925 (((-112) $ $) 26)) (-2950 (((-112) $ $) 36))) 
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 NIL 
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 (((-275 |#1|) (-141) (-861)) (T -275)) 
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 (((-102) . T) ((-628 |#1|) . T) ((-625 (-876)) . T) ((-234 $) . T) ((-237) . T) ((-861) . T) ((-864) . T) ((-1059 |#1|) . T) ((-1121) . T) ((-1238) . T)) 
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-((-3488 (((-112) $ $) NIL)) (-3341 (((-1056) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3539 (-656 (-227))))) NIL) (((-1056) (-2 (|:| |fn| (-326 (-227))) (|:| -3539 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 56)) (-1973 (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |fn| (-326 (-227))) (|:| -3539 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 32) (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3539 (-656 (-227))))) NIL)) (-1413 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3569 (((-876) $) NIL)) (-2113 (((-112) $ $) NIL)) (-2923 (((-112) $ $) NIL))) 
+((-1969 (((-656 (-1197)) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227))))) 53)) (-3447 (((-656 (-1197)) (-326 (-227)) (-783)) 94)) (-2821 (((-3 (-326 (-227)) "failed") (-326 (-227))) 63)) (-3479 (((-326 (-227)) (-326 (-227))) 79)) (-2039 (((-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227))))) (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 38)) (-1406 (((-112) (-656 (-326 (-227)))) 104)) (-2665 (((-112) (-326 (-227))) 36)) (-3255 (((-656 (-1179)) (-3 (|:| |noa| (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) (|:| |lsa| (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227))))))) 132)) (-2298 (((-656 (-326 (-227))) (-656 (-326 (-227)))) 108)) (-2312 (((-656 (-326 (-227))) (-656 (-326 (-227)))) 106)) (-1654 (((-701 (-227)) (-656 (-326 (-227))) (-783)) 120)) (-3612 (((-112) (-326 (-227))) 31) (((-112) (-656 (-326 (-227)))) 105)) (-1625 (((-656 (-227)) (-656 (-855 (-227))) (-227)) 15)) (-3933 (((-390) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227))))) 126)) (-3915 (((-1056) (-1197) (-1056)) 46))) 
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+((-3255 (*1 *2 *3) (-12 (-5 *3 (-3 (|:| |noa| (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) (|:| |lsa| (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227))))))) (-5 *2 (-656 (-1179))) (-5 *1 (-276)))) (-3933 (*1 *2 *3) (-12 (-5 *3 (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227))))) (-5 *2 (-390)) (-5 *1 (-276)))) (-3915 (*1 *2 *3 *2) (-12 (-5 *2 (-1056)) (-5 *3 (-1197)) (-5 *1 (-276)))) (-3447 (*1 *2 *3 *4) (-12 (-5 *3 (-326 (-227))) (-5 *4 (-783)) (-5 *2 (-656 (-1197))) (-5 *1 (-276)))) (-1969 (*1 *2 *3) (-12 (-5 *3 (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227))))) (-5 *2 (-656 (-1197))) (-5 *1 (-276)))) (-2665 (*1 *2 *3) (-12 (-5 *3 (-326 (-227))) (-5 *2 (-112)) (-5 *1 (-276)))) (-2298 (*1 *2 *2) (-12 (-5 *2 (-656 (-326 (-227)))) (-5 *1 (-276)))) (-2312 (*1 *2 *2) (-12 (-5 *2 (-656 (-326 (-227)))) (-5 *1 (-276)))) (-1654 (*1 *2 *3 *4) (-12 (-5 *3 (-656 (-326 (-227)))) (-5 *4 (-783)) (-5 *2 (-701 (-227))) (-5 *1 (-276)))) (-3612 (*1 *2 *3) (-12 (-5 *3 (-326 (-227))) (-5 *2 (-112)) (-5 *1 (-276)))) (-3612 (*1 *2 *3) (-12 (-5 *3 (-656 (-326 (-227)))) (-5 *2 (-112)) (-5 *1 (-276)))) (-1406 (*1 *2 *3) (-12 (-5 *3 (-656 (-326 (-227)))) (-5 *2 (-112)) (-5 *1 (-276)))) (-3479 (*1 *2 *2) (-12 (-5 *2 (-326 (-227))) (-5 *1 (-276)))) (-2821 (*1 *2 *2) (|partial| -12 (-5 *2 (-326 (-227))) (-5 *1 (-276)))) (-2039 (*1 *2 *2) (-12 (-5 *2 (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) (-5 *1 (-276)))) (-1625 (*1 *2 *3 *4) (-12 (-5 *3 (-656 (-855 (-227)))) (-5 *4 (-227)) (-5 *2 (-656 *4)) (-5 *1 (-276))))) 
+(-10 -7 (-15 -1625 ((-656 (-227)) (-656 (-855 (-227))) (-227))) (-15 -2039 ((-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227))))) (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227))))))) (-15 -2821 ((-3 (-326 (-227)) "failed") (-326 (-227)))) (-15 -3479 ((-326 (-227)) (-326 (-227)))) (-15 -1406 ((-112) (-656 (-326 (-227))))) (-15 -3612 ((-112) (-656 (-326 (-227))))) (-15 -3612 ((-112) (-326 (-227)))) (-15 -1654 ((-701 (-227)) (-656 (-326 (-227))) (-783))) (-15 -2312 ((-656 (-326 (-227))) (-656 (-326 (-227))))) (-15 -2298 ((-656 (-326 (-227))) (-656 (-326 (-227))))) (-15 -2665 ((-112) (-326 (-227)))) (-15 -1969 ((-656 (-1197)) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227)))))) (-15 -3447 ((-656 (-1197)) (-326 (-227)) (-783))) (-15 -3915 ((-1056) (-1197) (-1056))) (-15 -3933 ((-390) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227)))))) (-15 -3255 ((-656 (-1179)) (-3 (|:| |noa| (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) (|:| |lsa| (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227))))))))) 
+((-3489 (((-112) $ $) NIL)) (-2927 (((-1056) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227))))) NIL) (((-1056) (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 56)) (-2012 (((-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 32) (((-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227))))) NIL)) (-3699 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3570 (((-876) $) NIL)) (-4055 (((-112) $ $) NIL)) (-2925 (((-112) $ $) NIL))) 
 (((-277) (-851)) (T -277)) 
 NIL 
 (-851) 
-((-3488 (((-112) $ $) NIL)) (-3341 (((-1056) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3539 (-656 (-227))))) 72) (((-1056) (-2 (|:| |fn| (-326 (-227))) (|:| -3539 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 63)) (-1973 (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |fn| (-326 (-227))) (|:| -3539 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 41) (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3539 (-656 (-227))))) 43)) (-1413 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3569 (((-876) $) NIL)) (-2113 (((-112) $ $) NIL)) (-2923 (((-112) $ $) NIL))) 
+((-3489 (((-112) $ $) NIL)) (-2927 (((-1056) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227))))) 72) (((-1056) (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 63)) (-2012 (((-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 41) (((-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227))))) 43)) (-3699 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3570 (((-876) $) NIL)) (-4055 (((-112) $ $) NIL)) (-2925 (((-112) $ $) NIL))) 
 (((-278) (-851)) (T -278)) 
 NIL 
 (-851) 
-((-3488 (((-112) $ $) NIL)) (-3341 (((-1056) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3539 (-656 (-227))))) 90) (((-1056) (-2 (|:| |fn| (-326 (-227))) (|:| -3539 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 85)) (-1973 (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |fn| (-326 (-227))) (|:| -3539 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 52) (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3539 (-656 (-227))))) 65)) (-1413 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3569 (((-876) $) NIL)) (-2113 (((-112) $ $) NIL)) (-2923 (((-112) $ $) NIL))) 
+((-3489 (((-112) $ $) NIL)) (-2927 (((-1056) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227))))) 90) (((-1056) (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 85)) (-2012 (((-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 52) (((-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227))))) 65)) (-3699 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3570 (((-876) $) NIL)) (-4055 (((-112) $ $) NIL)) (-2925 (((-112) $ $) NIL))) 
 (((-279) (-851)) (T -279)) 
 NIL 
 (-851) 
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+((-3489 (((-112) $ $) NIL)) (-2927 (((-1056) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227))))) NIL) (((-1056) (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 73)) (-2012 (((-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 45) (((-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227))))) NIL)) (-3699 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3570 (((-876) $) NIL)) (-4055 (((-112) $ $) NIL)) (-2925 (((-112) $ $) NIL))) 
 (((-280) (-851)) (T -280)) 
 NIL 
 (-851) 
-((-3488 (((-112) $ $) NIL)) (-3341 (((-1056) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3539 (-656 (-227))))) NIL) (((-1056) (-2 (|:| |fn| (-326 (-227))) (|:| -3539 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 65)) (-1973 (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |fn| (-326 (-227))) (|:| -3539 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 31) (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3539 (-656 (-227))))) NIL)) (-1413 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3569 (((-876) $) NIL)) (-2113 (((-112) $ $) NIL)) (-2923 (((-112) $ $) NIL))) 
+((-3489 (((-112) $ $) NIL)) (-2927 (((-1056) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227))))) NIL) (((-1056) (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 65)) (-2012 (((-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 31) (((-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227))))) NIL)) (-3699 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3570 (((-876) $) NIL)) (-4055 (((-112) $ $) NIL)) (-2925 (((-112) $ $) NIL))) 
 (((-281) (-851)) (T -281)) 
 NIL 
 (-851) 
-((-3488 (((-112) $ $) NIL)) (-3341 (((-1056) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3539 (-656 (-227))))) NIL) (((-1056) (-2 (|:| |fn| (-326 (-227))) (|:| -3539 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 90)) (-1973 (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |fn| (-326 (-227))) (|:| -3539 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 33) (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3539 (-656 (-227))))) NIL)) (-1413 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3569 (((-876) $) NIL)) (-2113 (((-112) $ $) NIL)) (-2923 (((-112) $ $) NIL))) 
+((-3489 (((-112) $ $) NIL)) (-2927 (((-1056) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227))))) NIL) (((-1056) (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 90)) (-2012 (((-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 33) (((-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227))))) NIL)) (-3699 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3570 (((-876) $) NIL)) (-4055 (((-112) $ $) NIL)) (-2925 (((-112) $ $) NIL))) 
 (((-282) (-851)) (T -282)) 
 NIL 
 (-851) 
-((-3488 (((-112) $ $) NIL)) (-3341 (((-1056) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3539 (-656 (-227))))) NIL) (((-1056) (-2 (|:| |fn| (-326 (-227))) (|:| -3539 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 87)) (-1973 (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |fn| (-326 (-227))) (|:| -3539 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 32) (((-2 (|:| -1973 (-390)) (|:| |explanations| (-1179))) (-1084) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3539 (-656 (-227))))) NIL)) (-1413 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3569 (((-876) $) NIL)) (-2113 (((-112) $ $) NIL)) (-2923 (((-112) $ $) NIL))) 
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 (((-283) (-851)) (T -283)) 
 NIL 
 (-851) 
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-NIL 
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 ((** (($ $ $) 10))) 
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 NIL 
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 NIL 
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 (((-300) (-141)) (T -300)) 
 NIL 
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-NIL 
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+NIL 
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 (((-317) (-141)) (T -317)) 
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 (((-21) . T) ((-23) . T) ((-25) . T) ((-38 $) . T) ((-102) . T) ((-111 $ $) . T) ((-132) . T) ((-628 (-576)) . T) ((-628 $) . T) ((-625 (-876)) . T) ((-174) . T) ((-300) . T) ((-464) . T) ((-568) . T) ((-658 (-576)) . T) ((-658 $) . T) ((-660 $) . T) ((-652 $) . T) ((-729 $) . T) ((-738) . T) ((-939) . T) ((-1072 $) . T) ((-1077 $) . T) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1238) . T)) 
-((-3283 (($ $ (-656 |#2|) (-656 |#2|)) 14) (($ $ |#2| |#2|) NIL) (($ $ (-304 |#2|)) 11) (($ $ (-656 (-304 |#2|))) NIL))) 
-(((-318 |#1| |#2|) (-10 -8 (-15 -3283 (|#1| |#1| (-656 (-304 |#2|)))) (-15 -3283 (|#1| |#1| (-304 |#2|))) (-15 -3283 (|#1| |#1| |#2| |#2|)) (-15 -3283 (|#1| |#1| (-656 |#2|) (-656 |#2|)))) (-319 |#2|) (-1121)) (T -318)) 
+((-3284 (($ $ (-656 |#2|) (-656 |#2|)) 14) (($ $ |#2| |#2|) NIL) (($ $ (-304 |#2|)) 11) (($ $ (-656 (-304 |#2|))) NIL))) 
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 NIL 
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 (((-526 |#1| |#1|) . T)) 
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 (((-322) (-1121)) (T -322)) 
 NIL 
 (-1121) 
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(-783)) NIL) (($ $ (-1197)) NIL (|has| (-1274 |#1| |#2| |#3| |#4|) (-919 (-1197)))) (($ $ (-656 (-1197))) NIL (|has| (-1274 |#1| |#2| |#3| |#4|) (-919 (-1197)))) (($ $ (-1197) (-783)) NIL (|has| (-1274 |#1| |#2| |#3| |#4|) (-919 (-1197)))) (($ $ (-656 (-1197)) (-656 (-783))) NIL (|has| (-1274 |#1| |#2| |#3| |#4|) (-919 (-1197)))) (($ $) NIL (|has| (-1274 |#1| |#2| |#3| |#4|) (-237))) (($ $ (-783)) NIL (|has| (-1274 |#1| |#2| |#3| |#4|) (-237)))) (-2991 (((-112) $ $) NIL (|has| (-1274 |#1| |#2| |#3| |#4|) (-861)))) (-2962 (((-112) $ $) NIL (|has| (-1274 |#1| |#2| |#3| |#4|) (-861)))) (-2923 (((-112) $ $) NIL)) (-2978 (((-112) $ $) NIL (|has| (-1274 |#1| |#2| |#3| |#4|) (-861)))) (-2948 (((-112) $ $) NIL (|has| (-1274 |#1| |#2| |#3| |#4|) (-861)))) (-3056 (($ $ $) 35) (($ (-1274 |#1| |#2| |#3| |#4|) (-1274 |#1| |#2| |#3| |#4|)) 32)) (-3043 (($ $) NIL) (($ $ $) NIL)) (-3029 (($ $ $) NIL)) (** (($ $ (-940)) NIL) (($ $ (-783)) NIL) (($ $ (-576)) NIL)) (* (($ (-940) $) NIL) (($ (-783) $) NIL) (($ (-576) $) NIL) (($ $ $) NIL) (($ $ (-419 (-576))) NIL) (($ (-419 (-576)) $) NIL) (($ (-1274 |#1| |#2| |#3| |#4|) $) 31) (($ $ (-1274 |#1| |#2| |#3| |#4|)) NIL))) 
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 NIL 
 (-13 (-21) (-729 (-576)) (-333 |#1| (-576)) (-10 -7 (IF (|has| |#1| (-861)) (-6 (-861)) |%noBranch|))) 
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 NIL 
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-NIL 
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 NIL 
 (-339 |#1|) 
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-NIL 
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+NIL 
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 (((-374) (-141)) (T -374)) 
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 (((-375 |#1| |#2|) (-141) (-1121) (-1121)) (T -375)) 
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 (((-102) . T) ((-625 (-876)) . T) ((-1121) . T) ((-1238) . T)) 
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 (((-21) . T) ((-23) . T) ((-25) . T) ((-38 |#1|) . T) ((-102) . T) ((-111 |#1| |#1|) . T) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 (-576)) . T) ((-628 |#1|) . T) ((-625 (-876)) . T) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 |#1|) . T) ((-660 $) . T) ((-652 |#1|) . T) ((-729 |#1|) . T) ((-738) . T) ((-1072 |#1|) . T) ((-1077 |#1|) . T) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1238) . T)) 
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-NIL 
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-((-4344 (((-701 |#2|) (-701 $)) NIL) (((-2 (|:| -3752 (-701 |#2|)) (|:| |vec| (-1288 |#2|))) (-701 $) (-1288 $)) NIL) (((-2 (|:| -3752 (-701 (-576))) (|:| |vec| (-1288 (-576)))) (-701 $) (-1288 $)) 22) (((-701 (-576)) (-701 $)) 14))) 
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-NIL 
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+((-2204 (((-701 |#2|) (-701 $)) NIL) (((-2 (|:| -2590 (-701 |#2|)) (|:| |vec| (-1288 |#2|))) (-701 $) (-1288 $)) NIL) (((-2 (|:| -2590 (-701 (-576))) (|:| |vec| (-1288 (-576)))) (-701 $) (-1288 $)) 22) (((-701 (-576)) (-701 $)) 14))) 
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+NIL 
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 (((-388 |#1|) (-141) (-1070)) (T -388)) 
 NIL 
 (-13 (-651 |t#1|) (-10 -7 (IF (|has| |t#1| (-651 (-576))) (-6 (-651 (-576))) |%noBranch|))) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-132) . T) ((-625 (-876)) . T) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-660 #0=(-576)) |has| |#1| (-651 (-576))) ((-660 |#1|) . T) ((-651 #0#) |has| |#1| (-651 (-576))) ((-651 |#1|) . T) ((-1121) . T) ((-1238) . T)) 
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 ((* (*1 *1 *2 *3) (-12 (-5 *1 (-392 *3 *2)) (-4 *3 (-1070)) (-4 *2 (-861))))) 
 (-13 (-393 |#1| |#2|) (-10 -8 (-15 * ($ |#2| |#1|)))) 
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 (((-399) (-141)) (T -399)) 
 NIL 
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 (((-412 |#1|) (-141) (-1238)) (T -412)) 
 NIL 
 (-13 (-1238) (-10 -7 (IF (|has| |t#1| (-901 (-576))) (-6 (-901 (-576))) |%noBranch|) (IF (|has| |t#1| (-901 (-390))) (-6 (-901 (-390))) |%noBranch|))) 
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-((-1332 (($ $) 10) (($ $ (-783)) 12))) 
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+((-2910 (($ $) 10) (($ $ (-783)) 12))) 
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+NIL 
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 (((-421 |#1| |#2|) (-141) (-174) (-1264 |t#1|)) (T -421)) 
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 (((-21) . T) ((-23) . T) ((-25) . T) ((-38 |#1|) . T) ((-102) . T) ((-111 |#1| |#1|) . T) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 (-576)) . T) ((-628 |#1|) . T) ((-625 (-876)) . T) ((-381 |#1| |#2|) . T) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 |#1|) . T) ((-660 $) . T) ((-652 |#1|) . T) ((-729 |#1|) . T) ((-738) . T) ((-1072 |#1|) . T) ((-1077 |#1|) . T) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1238) . T)) 
-((-1572 (((-3 |#2| "failed") $) NIL) (((-3 (-419 (-576)) "failed") $) 27) (((-3 (-576) "failed") $) 19)) (-2859 ((|#2| $) NIL) (((-419 (-576)) $) 24) (((-576) $) 14)) (-3569 (($ |#2|) NIL) (($ (-419 (-576))) 22) (($ (-576)) 11))) 
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+((-1572 (((-3 |#2| "failed") $) NIL) (((-3 (-419 (-576)) "failed") $) 27) (((-3 (-576) "failed") $) 19)) (-2860 ((|#2| $) NIL) (((-419 (-576)) $) 24) (((-576) $) 14)) (-3570 (($ |#2|) NIL) (($ (-419 (-576))) 22) (($ (-576)) 11))) 
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 NIL 
-(-10 -8 (-15 -3569 (|#1| (-576))) (-15 -1572 ((-3 (-576) "failed") |#1|)) (-15 -2859 ((-576) |#1|)) (-15 -3569 (|#1| (-419 (-576)))) (-15 -1572 ((-3 (-419 (-576)) "failed") |#1|)) (-15 -2859 ((-419 (-576)) |#1|)) (-15 -2859 (|#2| |#1|)) (-15 -1572 ((-3 |#2| "failed") |#1|)) (-15 -3569 (|#1| |#2|))) 
-((-1572 (((-3 |#1| "failed") $) 9) (((-3 (-419 (-576)) "failed") $) 16 (|has| |#1| (-1059 (-419 (-576))))) (((-3 (-576) "failed") $) 13 (|has| |#1| (-1059 (-576))))) (-2859 ((|#1| $) 8) (((-419 (-576)) $) 17 (|has| |#1| (-1059 (-419 (-576))))) (((-576) $) 14 (|has| |#1| (-1059 (-576))))) (-3569 (($ |#1|) 6) (($ (-419 (-576))) 15 (|has| |#1| (-1059 (-419 (-576))))) (($ (-576)) 12 (|has| |#1| (-1059 (-576)))))) 
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 (((-423 |#1|) (-141) (-1238)) (T -423)) 
 NIL 
 (-13 (-1059 |t#1|) (-10 -7 (IF (|has| |t#1| (-1059 (-576))) (-6 (-1059 (-576))) |%noBranch|) (IF (|has| |t#1| (-1059 (-419 (-576)))) (-6 (-1059 (-419 (-576)))) |%noBranch|))) 
 (((-628 #0=(-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) ((-628 #1=(-576)) |has| |#1| (-1059 (-576))) ((-628 |#1|) . T) ((-1059 #0#) |has| |#1| (-1059 (-419 (-576)))) ((-1059 #1#) |has| |#1| (-1059 (-576))) ((-1059 |#1|) . T)) 
-((-4116 (((-425 |#5| |#6| |#7| |#8|) (-1 |#5| |#1|) (-425 |#1| |#2| |#3| |#4|)) 35))) 
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-((-4116 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *9 *5)) (-5 *4 (-425 *5 *6 *7 *8)) (-4 *5 (-317)) (-4 *6 (-1013 *5)) (-4 *7 (-1264 *6)) (-4 *8 (-13 (-421 *6 *7) (-1059 *6))) (-4 *9 (-317)) (-4 *10 (-1013 *9)) (-4 *11 (-1264 *10)) (-5 *2 (-425 *9 *10 *11 *12)) (-5 *1 (-424 *5 *6 *7 *8 *9 *10 *11 *12)) (-4 *12 (-13 (-421 *10 *11) (-1059 *10)))))) 
-(-10 -7 (-15 -4116 ((-425 |#5| |#6| |#7| |#8|) (-1 |#5| |#1|) (-425 |#1| |#2| |#3| |#4|)))) 
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-((-2977 ((|#2| |#2| |#2|) 31)) (-1775 (((-115) (-115)) 43)) (-3824 ((|#2| |#2|) 63)) (-3784 ((|#2| |#2|) 66)) (-3180 ((|#2| |#2|) 30)) (-1434 ((|#2| |#2| |#2|) 33)) (-3186 ((|#2| |#2| |#2|) 35)) (-3614 ((|#2| |#2| |#2|) 32)) (-2297 ((|#2| |#2| |#2|) 34)) (-4062 (((-112) (-115)) 41)) (-3235 ((|#2| |#2|) 37)) (-3704 ((|#2| |#2|) 36)) (-1665 ((|#2| |#2|) 25)) (-4228 ((|#2| |#2| |#2|) 28) ((|#2| |#2|) 26)) (-1475 ((|#2| |#2| |#2|) 29))) 
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-NIL 
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+((-3458 (($ $ $) 14) (($ (-656 $)) 21)) (-1531 (((-1193 $) (-1193 $) (-1193 $)) 46)) (-3498 (($ $ $) NIL) (($ (-656 $)) 22))) 
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+NIL 
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 (((-464) (-141)) (T -464)) 
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-((-2126 (((-3 |#5| "failed") |#5| |#2| (-1 |#2|)) 39))) 
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-((-2126 (*1 *2 *2 *3 *4) (|partial| -12 (-5 *4 (-1 *3)) (-4 *3 (-861)) (-4 *5 (-805)) (-4 *6 (-568)) (-4 *7 (-968 *6 *5 *3)) (-5 *1 (-474 *5 *3 *6 *7 *2)) (-4 *2 (-13 (-1059 (-419 (-576))) (-374) (-10 -8 (-15 -3569 ($ *7)) (-15 -1570 (*7 $)) (-15 -1581 (*7 $)))))))) 
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-(((-475 |#1| |#2| |#3| |#4|) (-13 (-997 |#1| |#2| |#3| |#4|) (-10 -8 (-15 -4171 ($ (-656 |#4|))) (-6 -4464) (-6 -4465))) (-1070) (-805) (-861) (-1086 |#1| |#2| |#3|)) (T -475)) 
-((-4171 (*1 *1 *2) (-12 (-5 *2 (-656 *6)) (-4 *6 (-1086 *3 *4 *5)) (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861)) (-5 *1 (-475 *3 *4 *5 *6))))) 
-(-13 (-997 |#1| |#2| |#3| |#4|) (-10 -8 (-15 -4171 ($ (-656 |#4|))) (-6 -4464) (-6 -4465))) 
-((-2719 (($) 11)) (-2730 (($) 13)) (* (($ |#2| $) 15) (($ $ |#2|) 16))) 
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-NIL 
-(-10 -8 (-15 -2730 (|#1|)) (-15 * (|#1| |#1| |#2|)) (-15 * (|#1| |#2| |#1|)) (-15 -2719 (|#1|))) 
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+((-2010 (((-52) |#2| (-1197) (-304 |#2|) (-1255 (-783))) 44) (((-52) (-1 |#2| (-576)) (-304 |#2|) (-1255 (-783))) 43) (((-52) |#2| (-1197) (-304 |#2|)) 36) (((-52) (-1 |#2| (-576)) (-304 |#2|)) 29)) (-3080 (((-52) |#2| (-1197) (-304 |#2|) (-1255 (-419 (-576))) (-419 (-576))) 88) (((-52) (-1 |#2| (-419 (-576))) (-304 |#2|) (-1255 (-419 (-576))) (-419 (-576))) 87) (((-52) |#2| (-1197) (-304 |#2|) (-1255 (-576))) 86) (((-52) (-1 |#2| (-576)) (-304 |#2|) (-1255 (-576))) 85) (((-52) |#2| (-1197) (-304 |#2|)) 80) (((-52) (-1 |#2| (-576)) (-304 |#2|)) 79)) (-2031 (((-52) |#2| (-1197) (-304 |#2|) (-1255 (-419 (-576))) (-419 (-576))) 74) (((-52) (-1 |#2| (-419 (-576))) (-304 |#2|) (-1255 (-419 (-576))) (-419 (-576))) 72)) (-2021 (((-52) |#2| (-1197) (-304 |#2|) (-1255 (-576))) 51) (((-52) (-1 |#2| (-576)) (-304 |#2|) (-1255 (-576))) 50))) 
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+((-1765 ((|#2| |#2| |#1|) 15)) (-1987 (((-656 |#2|) |#2| (-656 |#2|) |#1| (-940)) 82)) (-3908 (((-2 (|:| |plist| (-656 |#2|)) (|:| |modulo| |#1|)) |#2| (-656 |#2|) |#1| (-940)) 72))) 
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+NIL 
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 (((-102) . T) ((-628 |#1|) . T) ((-625 (-876)) . T) ((-482 |#1| |#2|) . T) ((-1059 |#1|) . T) ((-1121) . T) ((-1238) . T)) 
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-((-3043 (($ $) NIL) (($ $ $) 11))) 
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-NIL 
-(-10 -8 (-15 -3043 (|#1| |#1| |#1|)) (-15 -3043 (|#1| |#1|))) 
-((-3488 (((-112) $ $) 7)) (-1413 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3600 ((|#2| $) 20)) (-3569 (((-876) $) 12)) (-2113 (((-112) $ $) 6)) (-2719 (($) 19 T CONST)) (-2923 (((-112) $ $) 8)) (-3043 (($ $) 16) (($ $ $) 14)) (-3029 (($ $ $) 15)) (* (($ |#1| $) 18) (($ $ |#1|) 17))) 
+((-3207 (((-1288 (-1288 (-576))) (-1288 (-1288 (-576))) (-940)) 26)) (-4132 (((-1288 (-1288 (-576))) (-940)) 21))) 
+(((-478) (-10 -7 (-15 -3207 ((-1288 (-1288 (-576))) (-1288 (-1288 (-576))) (-940))) (-15 -4132 ((-1288 (-1288 (-576))) (-940))))) (T -478)) 
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+(-10 -7 (-15 -3207 ((-1288 (-1288 (-576))) (-1288 (-1288 (-576))) (-940))) (-15 -4132 ((-1288 (-1288 (-576))) (-940)))) 
+((-2224 (((-576) (-576)) 32) (((-576)) 24)) (-3962 (((-576) (-576)) 28) (((-576)) 20)) (-2323 (((-576) (-576)) 30) (((-576)) 22)) (-4125 (((-112) (-112)) 14) (((-112)) 12)) (-2120 (((-112) (-112)) 13) (((-112)) 11)) (-3571 (((-112) (-112)) 26) (((-112)) 17))) 
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+(-10 -7 (-15 -2120 ((-112))) (-15 -4125 ((-112))) (-15 -2120 ((-112) (-112))) (-15 -4125 ((-112) (-112))) (-15 -3571 ((-112))) (-15 -2323 ((-576))) (-15 -3962 ((-576))) (-15 -2224 ((-576))) (-15 -3571 ((-112) (-112))) (-15 -2323 ((-576) (-576))) (-15 -3962 ((-576) (-576))) (-15 -2224 ((-576) (-576)))) 
+((-3489 (((-112) $ $) NIL)) (-2328 (((-656 (-390)) $) 34) (((-656 (-390)) $ (-656 (-390))) 146)) (-2417 (((-656 (-1115 (-390))) $) 16) (((-656 (-1115 (-390))) $ (-656 (-1115 (-390)))) 142)) (-3646 (((-656 (-656 (-962 (-227)))) (-656 (-656 (-962 (-227)))) (-656 (-888))) 58)) (-3594 (((-656 (-656 (-962 (-227)))) $) 137)) (-3043 (((-1293) $ (-962 (-227)) (-888)) 163)) (-2368 (($ $) 136) (($ (-656 (-656 (-962 (-227))))) 149) (($ (-656 (-656 (-962 (-227)))) (-656 (-888)) (-656 (-888)) (-656 (-940))) 148) (($ (-656 (-656 (-962 (-227)))) (-656 (-888)) (-656 (-888)) (-656 (-940)) (-656 (-270))) 150)) (-3699 (((-1179) $) NIL)) (-4301 (((-576) $) 110)) (-1450 (((-1141) $) NIL)) (-3648 (($) 147)) (-2134 (((-656 (-227)) (-656 (-656 (-962 (-227))))) 89)) (-1463 (((-1293) $ (-656 (-962 (-227))) (-888) (-888) (-940)) 155) (((-1293) $ (-962 (-227))) 157) (((-1293) $ (-962 (-227)) (-888) (-888) (-940)) 156)) (-3570 (((-876) $) 169) (($ (-656 (-656 (-962 (-227))))) 164)) (-4055 (((-112) $ $) NIL)) (-1780 (((-1293) $ (-962 (-227))) 162)) (-2925 (((-112) $ $) NIL))) 
+(((-480) (-13 (-1121) (-10 -8 (-15 -3648 ($)) (-15 -2368 ($ $)) (-15 -2368 ($ (-656 (-656 (-962 (-227)))))) (-15 -2368 ($ (-656 (-656 (-962 (-227)))) (-656 (-888)) (-656 (-888)) (-656 (-940)))) (-15 -2368 ($ (-656 (-656 (-962 (-227)))) (-656 (-888)) (-656 (-888)) (-656 (-940)) (-656 (-270)))) (-15 -3594 ((-656 (-656 (-962 (-227)))) $)) (-15 -4301 ((-576) $)) (-15 -2417 ((-656 (-1115 (-390))) $)) (-15 -2417 ((-656 (-1115 (-390))) $ (-656 (-1115 (-390))))) (-15 -2328 ((-656 (-390)) $)) (-15 -2328 ((-656 (-390)) $ (-656 (-390)))) (-15 -1463 ((-1293) $ (-656 (-962 (-227))) (-888) (-888) (-940))) (-15 -1463 ((-1293) $ (-962 (-227)))) (-15 -1463 ((-1293) $ (-962 (-227)) (-888) (-888) (-940))) (-15 -1780 ((-1293) $ (-962 (-227)))) (-15 -3043 ((-1293) $ (-962 (-227)) (-888))) (-15 -3570 ($ (-656 (-656 (-962 (-227)))))) (-15 -3570 ((-876) $)) (-15 -3646 ((-656 (-656 (-962 (-227)))) (-656 (-656 (-962 (-227)))) (-656 (-888)))) (-15 -2134 ((-656 (-227)) (-656 (-656 (-962 (-227))))))))) (T -480)) 
+((-3570 (*1 *2 *1) (-12 (-5 *2 (-876)) (-5 *1 (-480)))) (-3648 (*1 *1) (-5 *1 (-480))) (-2368 (*1 *1 *1) (-5 *1 (-480))) (-2368 (*1 *1 *2) (-12 (-5 *2 (-656 (-656 (-962 (-227))))) (-5 *1 (-480)))) (-2368 (*1 *1 *2 *3 *3 *4) (-12 (-5 *2 (-656 (-656 (-962 (-227))))) (-5 *3 (-656 (-888))) (-5 *4 (-656 (-940))) (-5 *1 (-480)))) (-2368 (*1 *1 *2 *3 *3 *4 *5) (-12 (-5 *2 (-656 (-656 (-962 (-227))))) (-5 *3 (-656 (-888))) (-5 *4 (-656 (-940))) (-5 *5 (-656 (-270))) (-5 *1 (-480)))) (-3594 (*1 *2 *1) (-12 (-5 *2 (-656 (-656 (-962 (-227))))) (-5 *1 (-480)))) (-4301 (*1 *2 *1) (-12 (-5 *2 (-576)) (-5 *1 (-480)))) (-2417 (*1 *2 *1) (-12 (-5 *2 (-656 (-1115 (-390)))) (-5 *1 (-480)))) (-2417 (*1 *2 *1 *2) (-12 (-5 *2 (-656 (-1115 (-390)))) (-5 *1 (-480)))) (-2328 (*1 *2 *1) (-12 (-5 *2 (-656 (-390))) (-5 *1 (-480)))) (-2328 (*1 *2 *1 *2) (-12 (-5 *2 (-656 (-390))) (-5 *1 (-480)))) (-1463 (*1 *2 *1 *3 *4 *4 *5) (-12 (-5 *3 (-656 (-962 (-227)))) (-5 *4 (-888)) (-5 *5 (-940)) (-5 *2 (-1293)) (-5 *1 (-480)))) (-1463 (*1 *2 *1 *3) (-12 (-5 *3 (-962 (-227))) (-5 *2 (-1293)) (-5 *1 (-480)))) (-1463 (*1 *2 *1 *3 *4 *4 *5) (-12 (-5 *3 (-962 (-227))) (-5 *4 (-888)) (-5 *5 (-940)) (-5 *2 (-1293)) (-5 *1 (-480)))) (-1780 (*1 *2 *1 *3) (-12 (-5 *3 (-962 (-227))) (-5 *2 (-1293)) (-5 *1 (-480)))) (-3043 (*1 *2 *1 *3 *4) (-12 (-5 *3 (-962 (-227))) (-5 *4 (-888)) (-5 *2 (-1293)) (-5 *1 (-480)))) (-3570 (*1 *1 *2) (-12 (-5 *2 (-656 (-656 (-962 (-227))))) (-5 *1 (-480)))) (-3646 (*1 *2 *2 *3) (-12 (-5 *2 (-656 (-656 (-962 (-227))))) (-5 *3 (-656 (-888))) (-5 *1 (-480)))) (-2134 (*1 *2 *3) (-12 (-5 *3 (-656 (-656 (-962 (-227))))) (-5 *2 (-656 (-227))) (-5 *1 (-480))))) 
+(-13 (-1121) (-10 -8 (-15 -3648 ($)) (-15 -2368 ($ $)) (-15 -2368 ($ (-656 (-656 (-962 (-227)))))) (-15 -2368 ($ (-656 (-656 (-962 (-227)))) (-656 (-888)) (-656 (-888)) (-656 (-940)))) (-15 -2368 ($ (-656 (-656 (-962 (-227)))) (-656 (-888)) (-656 (-888)) (-656 (-940)) (-656 (-270)))) (-15 -3594 ((-656 (-656 (-962 (-227)))) $)) (-15 -4301 ((-576) $)) (-15 -2417 ((-656 (-1115 (-390))) $)) (-15 -2417 ((-656 (-1115 (-390))) $ (-656 (-1115 (-390))))) (-15 -2328 ((-656 (-390)) $)) (-15 -2328 ((-656 (-390)) $ (-656 (-390)))) (-15 -1463 ((-1293) $ (-656 (-962 (-227))) (-888) (-888) (-940))) (-15 -1463 ((-1293) $ (-962 (-227)))) (-15 -1463 ((-1293) $ (-962 (-227)) (-888) (-888) (-940))) (-15 -1780 ((-1293) $ (-962 (-227)))) (-15 -3043 ((-1293) $ (-962 (-227)) (-888))) (-15 -3570 ($ (-656 (-656 (-962 (-227)))))) (-15 -3570 ((-876) $)) (-15 -3646 ((-656 (-656 (-962 (-227)))) (-656 (-656 (-962 (-227)))) (-656 (-888)))) (-15 -2134 ((-656 (-227)) (-656 (-656 (-962 (-227)))))))) 
+((-3044 (($ $) NIL) (($ $ $) 11))) 
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+NIL 
+(-10 -8 (-15 -3044 (|#1| |#1| |#1|)) (-15 -3044 (|#1| |#1|))) 
+((-3489 (((-112) $ $) 7)) (-3699 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3634 ((|#2| $) 20)) (-3570 (((-876) $) 12)) (-4055 (((-112) $ $) 6)) (-2721 (($) 19 T CONST)) (-2925 (((-112) $ $) 8)) (-3044 (($ $) 16) (($ $ $) 14)) (-3030 (($ $ $) 15)) (* (($ |#1| $) 18) (($ $ |#1|) 17))) 
 (((-482 |#1| |#2|) (-141) (-174) (-23)) (T -482)) 
-((-3600 (*1 *2 *1) (-12 (-4 *1 (-482 *3 *2)) (-4 *3 (-174)) (-4 *2 (-23)))) (-2719 (*1 *1) (-12 (-4 *1 (-482 *2 *3)) (-4 *2 (-174)) (-4 *3 (-23)))) (* (*1 *1 *2 *1) (-12 (-4 *1 (-482 *2 *3)) (-4 *2 (-174)) (-4 *3 (-23)))) (* (*1 *1 *1 *2) (-12 (-4 *1 (-482 *2 *3)) (-4 *2 (-174)) (-4 *3 (-23)))) (-3043 (*1 *1 *1) (-12 (-4 *1 (-482 *2 *3)) (-4 *2 (-174)) (-4 *3 (-23)))) (-3029 (*1 *1 *1 *1) (-12 (-4 *1 (-482 *2 *3)) (-4 *2 (-174)) (-4 *3 (-23)))) (-3043 (*1 *1 *1 *1) (-12 (-4 *1 (-482 *2 *3)) (-4 *2 (-174)) (-4 *3 (-23))))) 
-(-13 (-1121) (-10 -8 (-15 -3600 (|t#2| $)) (-15 (-2719) ($) -1480) (-15 * ($ |t#1| $)) (-15 * ($ $ |t#1|)) (-15 -3043 ($ $)) (-15 -3029 ($ $ $)) (-15 -3043 ($ $ $)))) 
+((-3634 (*1 *2 *1) (-12 (-4 *1 (-482 *3 *2)) (-4 *3 (-174)) (-4 *2 (-23)))) (-2721 (*1 *1) (-12 (-4 *1 (-482 *2 *3)) (-4 *2 (-174)) (-4 *3 (-23)))) (* (*1 *1 *2 *1) (-12 (-4 *1 (-482 *2 *3)) (-4 *2 (-174)) (-4 *3 (-23)))) (* (*1 *1 *1 *2) (-12 (-4 *1 (-482 *2 *3)) (-4 *2 (-174)) (-4 *3 (-23)))) (-3044 (*1 *1 *1) (-12 (-4 *1 (-482 *2 *3)) (-4 *2 (-174)) (-4 *3 (-23)))) (-3030 (*1 *1 *1 *1) (-12 (-4 *1 (-482 *2 *3)) (-4 *2 (-174)) (-4 *3 (-23)))) (-3044 (*1 *1 *1 *1) (-12 (-4 *1 (-482 *2 *3)) (-4 *2 (-174)) (-4 *3 (-23))))) 
+(-13 (-1121) (-10 -8 (-15 -3634 (|t#2| $)) (-15 (-2721) ($) -1480) (-15 * ($ |t#1| $)) (-15 * ($ $ |t#1|)) (-15 -3044 ($ $)) (-15 -3030 ($ $ $)) (-15 -3044 ($ $ $)))) 
 (((-102) . T) ((-625 (-876)) . T) ((-1121) . T) ((-1238) . T)) 
-((-2904 (((-3 (-656 (-493 |#1| |#2|)) "failed") (-656 (-493 |#1| |#2|)) (-656 (-878 |#1|))) 134)) (-1442 (((-656 (-656 (-253 |#1| |#2|))) (-656 (-253 |#1| |#2|)) (-656 (-878 |#1|))) 131)) (-4390 (((-2 (|:| |dpolys| (-656 (-253 |#1| |#2|))) (|:| |coords| (-656 (-576)))) (-656 (-253 |#1| |#2|)) (-656 (-878 |#1|))) 86))) 
-(((-483 |#1| |#2| |#3|) (-10 -7 (-15 -1442 ((-656 (-656 (-253 |#1| |#2|))) (-656 (-253 |#1| |#2|)) (-656 (-878 |#1|)))) (-15 -2904 ((-3 (-656 (-493 |#1| |#2|)) "failed") (-656 (-493 |#1| |#2|)) (-656 (-878 |#1|)))) (-15 -4390 ((-2 (|:| |dpolys| (-656 (-253 |#1| |#2|))) (|:| |coords| (-656 (-576)))) (-656 (-253 |#1| |#2|)) (-656 (-878 |#1|))))) (-656 (-1197)) (-464) (-464)) (T -483)) 
-((-4390 (*1 *2 *3 *4) (-12 (-5 *4 (-656 (-878 *5))) (-14 *5 (-656 (-1197))) (-4 *6 (-464)) (-5 *2 (-2 (|:| |dpolys| (-656 (-253 *5 *6))) (|:| |coords| (-656 (-576))))) (-5 *1 (-483 *5 *6 *7)) (-5 *3 (-656 (-253 *5 *6))) (-4 *7 (-464)))) (-2904 (*1 *2 *2 *3) (|partial| -12 (-5 *2 (-656 (-493 *4 *5))) (-5 *3 (-656 (-878 *4))) (-14 *4 (-656 (-1197))) (-4 *5 (-464)) (-5 *1 (-483 *4 *5 *6)) (-4 *6 (-464)))) (-1442 (*1 *2 *3 *4) (-12 (-5 *4 (-656 (-878 *5))) (-14 *5 (-656 (-1197))) (-4 *6 (-464)) (-5 *2 (-656 (-656 (-253 *5 *6)))) (-5 *1 (-483 *5 *6 *7)) (-5 *3 (-656 (-253 *5 *6))) (-4 *7 (-464))))) 
-(-10 -7 (-15 -1442 ((-656 (-656 (-253 |#1| |#2|))) (-656 (-253 |#1| |#2|)) (-656 (-878 |#1|)))) (-15 -2904 ((-3 (-656 (-493 |#1| |#2|)) "failed") (-656 (-493 |#1| |#2|)) (-656 (-878 |#1|)))) (-15 -4390 ((-2 (|:| |dpolys| (-656 (-253 |#1| |#2|))) (|:| |coords| (-656 (-576)))) (-656 (-253 |#1| |#2|)) (-656 (-878 |#1|))))) 
-((-3451 (((-3 $ "failed") $) 11)) (-2318 (($ $ $) 23)) (-2604 (($ $ $) 24)) (-3056 (($ $ $) 9)) (** (($ $ (-940)) NIL) (($ $ (-783)) NIL) (($ $ (-576)) 22))) 
-(((-484 |#1|) (-10 -8 (-15 -2604 (|#1| |#1| |#1|)) (-15 -2318 (|#1| |#1| |#1|)) (-15 ** (|#1| |#1| (-576))) (-15 -3056 (|#1| |#1| |#1|)) (-15 -3451 ((-3 |#1| "failed") |#1|)) (-15 ** (|#1| |#1| (-783))) (-15 ** (|#1| |#1| (-940)))) (-485)) (T -484)) 
-NIL 
-(-10 -8 (-15 -2604 (|#1| |#1| |#1|)) (-15 -2318 (|#1| |#1| |#1|)) (-15 ** (|#1| |#1| (-576))) (-15 -3056 (|#1| |#1| |#1|)) (-15 -3451 ((-3 |#1| "failed") |#1|)) (-15 ** (|#1| |#1| (-783))) (-15 ** (|#1| |#1| (-940)))) 
-((-3488 (((-112) $ $) 7)) (-3306 (($) 19 T CONST)) (-3451 (((-3 $ "failed") $) 16)) (-3215 (((-112) $) 18)) (-1413 (((-1179) $) 10)) (-2048 (($ $) 25)) (-1450 (((-1141) $) 11)) (-2318 (($ $ $) 22)) (-2604 (($ $ $) 21)) (-3569 (((-876) $) 12)) (-2113 (((-112) $ $) 6)) (-2730 (($) 20 T CONST)) (-2923 (((-112) $ $) 8)) (-3056 (($ $ $) 24)) (** (($ $ (-940)) 14) (($ $ (-783)) 17) (($ $ (-576)) 23)) (* (($ $ $) 15))) 
+((-3084 (((-3 (-656 (-493 |#1| |#2|)) "failed") (-656 (-493 |#1| |#2|)) (-656 (-878 |#1|))) 134)) (-2305 (((-656 (-656 (-253 |#1| |#2|))) (-656 (-253 |#1| |#2|)) (-656 (-878 |#1|))) 131)) (-2652 (((-2 (|:| |dpolys| (-656 (-253 |#1| |#2|))) (|:| |coords| (-656 (-576)))) (-656 (-253 |#1| |#2|)) (-656 (-878 |#1|))) 86))) 
+(((-483 |#1| |#2| |#3|) (-10 -7 (-15 -2305 ((-656 (-656 (-253 |#1| |#2|))) (-656 (-253 |#1| |#2|)) (-656 (-878 |#1|)))) (-15 -3084 ((-3 (-656 (-493 |#1| |#2|)) "failed") (-656 (-493 |#1| |#2|)) (-656 (-878 |#1|)))) (-15 -2652 ((-2 (|:| |dpolys| (-656 (-253 |#1| |#2|))) (|:| |coords| (-656 (-576)))) (-656 (-253 |#1| |#2|)) (-656 (-878 |#1|))))) (-656 (-1197)) (-464) (-464)) (T -483)) 
+((-2652 (*1 *2 *3 *4) (-12 (-5 *4 (-656 (-878 *5))) (-14 *5 (-656 (-1197))) (-4 *6 (-464)) (-5 *2 (-2 (|:| |dpolys| (-656 (-253 *5 *6))) (|:| |coords| (-656 (-576))))) (-5 *1 (-483 *5 *6 *7)) (-5 *3 (-656 (-253 *5 *6))) (-4 *7 (-464)))) (-3084 (*1 *2 *2 *3) (|partial| -12 (-5 *2 (-656 (-493 *4 *5))) (-5 *3 (-656 (-878 *4))) (-14 *4 (-656 (-1197))) (-4 *5 (-464)) (-5 *1 (-483 *4 *5 *6)) (-4 *6 (-464)))) (-2305 (*1 *2 *3 *4) (-12 (-5 *4 (-656 (-878 *5))) (-14 *5 (-656 (-1197))) (-4 *6 (-464)) (-5 *2 (-656 (-656 (-253 *5 *6)))) (-5 *1 (-483 *5 *6 *7)) (-5 *3 (-656 (-253 *5 *6))) (-4 *7 (-464))))) 
+(-10 -7 (-15 -2305 ((-656 (-656 (-253 |#1| |#2|))) (-656 (-253 |#1| |#2|)) (-656 (-878 |#1|)))) (-15 -3084 ((-3 (-656 (-493 |#1| |#2|)) "failed") (-656 (-493 |#1| |#2|)) (-656 (-878 |#1|)))) (-15 -2652 ((-2 (|:| |dpolys| (-656 (-253 |#1| |#2|))) (|:| |coords| (-656 (-576)))) (-656 (-253 |#1| |#2|)) (-656 (-878 |#1|))))) 
+((-1561 (((-3 $ "failed") $) 11)) (-2314 (($ $ $) 23)) (-2076 (($ $ $) 24)) (-3057 (($ $ $) 9)) (** (($ $ (-940)) NIL) (($ $ (-783)) NIL) (($ $ (-576)) 22))) 
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+NIL 
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 (((-487 |#1| |#2| |#3| |#4|) (-1214 |#1| |#2|) (-1121) (-1121) (-1214 |#1| |#2|) |#2|) (T -487)) 
 NIL 
 (-1214 |#1| |#2|) 
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 (((-488 |#1| |#2| |#3| |#4|) (-1231 |#1| |#2| |#3| |#4|) (-568) (-805) (-861) (-1086 |#1| |#2| |#3|)) (T -488)) 
 NIL 
 (-1231 |#1| |#2| |#3| |#4|) 
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-NIL 
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 NIL 
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 NIL 
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+NIL 
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 (((-501 |#1|) (-141) (-1238)) (T -501)) 
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-((-3569 ((|#1| $) 6) (($ |#1|) 9))) 
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+((-3570 ((|#1| $) 6) (($ |#1|) 9))) 
 (((-502 |#1|) (-141) (-1238)) (T -502)) 
 NIL 
 (-13 (-625 |t#1|) (-628 |t#1|)) 
 (((-628 |#1|) . T) ((-625 |#1|) . T)) 
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-(((-503) (-13 (-1121) (-625 (-1179)) (-10 -8 (-15 -2056 ($ (-1179)))))) (T -503)) 
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-NIL 
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+NIL 
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 (((-505) (-141)) (T -505)) 
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 ((-1828 (*1 *2 *3 *4) (-12 (-5 *4 (-1 (-430 *6) *6)) (-4 *6 (-1264 *5)) (-4 *5 (-374)) (-4 *7 (-13 (-374) (-148) (-736 *5 *6))) (-5 *2 (-430 *3)) (-5 *1 (-506 *5 *6 *7 *3)) (-4 *3 (-1264 *7))))) 
 (-10 -7 (-15 -1828 ((-430 |#4|) |#4| (-1 (-430 |#2|) |#2|)))) 
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 (((-508 |#1| |#2|) (-19 |#1|) (-1238) (-576)) (T -508)) 
 NIL 
 (-19 |#1|) 
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 (((-509 |#1| |#2| |#3|) (-57 |#1| (-508 |#1| |#3|) (-508 |#1| |#2|)) (-1238) (-576) (-576)) (T -509)) 
 NIL 
 (-57 |#1| (-508 |#1| |#3|) (-508 |#1| |#2|)) 
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 NIL 
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-NIL 
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 (((-102) . T) ((-625 (-876)) . T) ((-1121) . T) ((-1238) . T)) 
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 (((-522 |#1| |#2|) (-13 (-804) (-521 |#1| |#2|)) (-804) (-861)) (T -522)) 
 NIL 
 (-13 (-804) (-521 |#1| |#2|)) 
-((-3488 (((-112) $ $) NIL)) (-1812 (((-112) $) NIL)) (-3605 (((-656 (-887 |#2| |#1|)) $) NIL)) (-1685 (($ $ $) 23)) (-2780 (((-3 $ "failed") $ $) 19)) (-3306 (($) NIL T CONST)) (-2112 (($ $) NIL)) (-1945 (($ |#1| |#2|) NIL)) (-3124 (($ $ $) NIL)) (-1951 (($ $ $) NIL)) (-4116 (($ (-1 |#1| |#1|) $) NIL)) (-2625 ((|#2| $) NIL)) (-2089 ((|#1| $) NIL)) (-1413 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3569 (((-876) $) NIL)) (-2113 (((-112) $ $) NIL)) (-2719 (($) NIL T CONST)) (-2991 (((-112) $ $) NIL)) (-2962 (((-112) $ $) NIL)) (-2923 (((-112) $ $) NIL)) (-2978 (((-112) $ $) NIL)) (-2948 (((-112) $ $) NIL)) (-3029 (($ $ $) NIL)) (* (($ (-940) $) NIL) (($ (-783) $) NIL))) 
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 (((-523 |#1| |#2|) (-13 (-805) (-521 |#1| |#2|)) (-805) (-861)) (T -523)) 
 NIL 
 (-13 (-805) (-521 |#1| |#2|)) 
-((-3488 (((-112) $ $) NIL)) (-3605 (((-656 (-887 |#2| |#1|)) $) 39)) (-2112 (($ $) 34)) (-1945 (($ |#1| |#2|) 30)) (-4116 (($ (-1 |#1| |#1|) $) 32)) (-2625 ((|#2| $) 38)) (-2089 ((|#1| $) 37)) (-1413 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3569 (((-876) $) 28)) (-2113 (((-112) $ $) NIL)) (-2923 (((-112) $ $) 21))) 
-(((-524 |#1| |#2|) (-521 |#1| |#2|) (-1121) (-861)) (T -524)) 
-NIL 
-(-521 |#1| |#2|) 
-((-3283 (($ $ (-656 |#2|) (-656 |#3|)) NIL) (($ $ |#2| |#3|) 12))) 
-(((-525 |#1| |#2| |#3|) (-10 -8 (-15 -3283 (|#1| |#1| |#2| |#3|)) (-15 -3283 (|#1| |#1| (-656 |#2|) (-656 |#3|)))) (-526 |#2| |#3|) (-1121) (-1238)) (T -525)) 
-NIL 
-(-10 -8 (-15 -3283 (|#1| |#1| |#2| |#3|)) (-15 -3283 (|#1| |#1| (-656 |#2|) (-656 |#3|)))) 
-((-3283 (($ $ (-656 |#1|) (-656 |#2|)) 7) (($ $ |#1| |#2|) 6))) 
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+(((-524 |#1| |#2|) (-13 (-521 |#1| |#2|) (-10 -8 (-15 -3412 ($ (-656 (-887 |#2| |#1|)))))) (-1121) (-861)) (T -524)) 
+((-3412 (*1 *1 *2) (-12 (-5 *2 (-656 (-887 *4 *3))) (-4 *3 (-1121)) (-4 *4 (-861)) (-5 *1 (-524 *3 *4))))) 
+(-13 (-521 |#1| |#2|) (-10 -8 (-15 -3412 ($ (-656 (-887 |#2| |#1|)))))) 
+((-3284 (($ $ (-656 |#2|) (-656 |#3|)) NIL) (($ $ |#2| |#3|) 12))) 
+(((-525 |#1| |#2| |#3|) (-10 -8 (-15 -3284 (|#1| |#1| |#2| |#3|)) (-15 -3284 (|#1| |#1| (-656 |#2|) (-656 |#3|)))) (-526 |#2| |#3|) (-1121) (-1238)) (T -525)) 
+NIL 
+(-10 -8 (-15 -3284 (|#1| |#1| |#2| |#3|)) (-15 -3284 (|#1| |#1| (-656 |#2|) (-656 |#3|)))) 
+((-3284 (($ $ (-656 |#1|) (-656 |#2|)) 7) (($ $ |#1| |#2|) 6))) 
 (((-526 |#1| |#2|) (-141) (-1121) (-1238)) (T -526)) 
-((-3283 (*1 *1 *1 *2 *3) (-12 (-5 *2 (-656 *4)) (-5 *3 (-656 *5)) (-4 *1 (-526 *4 *5)) (-4 *4 (-1121)) (-4 *5 (-1238)))) (-3283 (*1 *1 *1 *2 *3) (-12 (-4 *1 (-526 *2 *3)) (-4 *2 (-1121)) (-4 *3 (-1238))))) 
-(-13 (-10 -8 (-15 -3283 ($ $ |t#1| |t#2|)) (-15 -3283 ($ $ (-656 |t#1|) (-656 |t#2|))))) 
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+(-13 (-10 -8 (-15 -3284 ($ $ |t#1| |t#2|)) (-15 -3284 ($ $ (-656 |t#1|) (-656 |t#2|))))) 
+((-3489 (((-112) $ $) NIL)) (-4308 (((-112) $) 17)) (-3669 (((-656 (-2 (|:| |gen| |#1|) (|:| -4104 |#2|))) $) 19)) (-4367 (((-3 $ "failed") $ $) NIL)) (-2098 (((-783) $) NIL)) (-3886 (($) NIL T CONST)) (-1572 (((-3 |#1| "failed") $) NIL)) (-2860 ((|#1| $) NIL)) (-4276 ((|#1| $ (-576)) 24)) (-3053 ((|#2| $ (-576)) 22)) (-3310 (($ (-1 |#1| |#1|) $) 48)) (-2231 (($ (-1 |#2| |#2|) $) 45)) (-3699 (((-1179) $) NIL)) (-2707 (($ $ $) 55 (|has| |#2| (-804)))) (-1450 (((-1141) $) NIL)) (-3570 (((-876) $) 44) (($ |#1|) NIL)) (-3177 ((|#2| |#1| $) 51)) (-4055 (((-112) $ $) NIL)) (-2721 (($) 11 T CONST)) (-2925 (((-112) $ $) 30)) (-3030 (($ $ $) 28) (($ |#1| $) 26)) (* (($ (-940) $) NIL) (($ (-783) $) 37) (($ |#2| |#1|) 32))) 
 (((-527 |#1| |#2| |#3|) (-333 |#1| |#2|) (-1121) (-132) |#2|) (T -527)) 
 NIL 
 (-333 |#1| |#2|) 
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-(((-528 |#1| |#2|) (-13 (-19 |#1|) (-292 |#1|) (-10 -8 (-15 -4211 ($ (-656 |#1|))) (-15 -1634 ((-783) $)) (-15 -2818 ($ $ (-576))) (-15 -4236 ((-112) (-112))))) (-1238) (-576)) (T -528)) 
-((-4211 (*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-1238)) (-5 *1 (-528 *3 *4)) (-14 *4 (-576)))) (-1634 (*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-528 *3 *4)) (-4 *3 (-1238)) (-14 *4 (-576)))) (-2818 (*1 *1 *1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-528 *3 *4)) (-4 *3 (-1238)) (-14 *4 *2))) (-4236 (*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-528 *3 *4)) (-4 *3 (-1238)) (-14 *4 (-576))))) 
-(-13 (-19 |#1|) (-292 |#1|) (-10 -8 (-15 -4211 ($ (-656 |#1|))) (-15 -1634 ((-783) $)) (-15 -2818 ($ $ (-576))) (-15 -4236 ((-112) (-112))))) 
-((-3488 (((-112) $ $) NIL)) (-1405 (((-1156) $) 11)) (-1413 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-2686 (((-1156) $) 13)) (-3986 (((-1156) $) 9)) (-3569 (((-876) $) 19) (($ (-1202)) NIL) (((-1202) $) NIL)) (-2113 (((-112) $ $) NIL)) (-2923 (((-112) $ $) NIL))) 
-(((-529) (-13 (-1104) (-10 -8 (-15 -3986 ((-1156) $)) (-15 -1405 ((-1156) $)) (-15 -2686 ((-1156) $))))) (T -529)) 
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 NIL 
 (-339 (-593 |#1|)) 
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 (((-531 |#1| |#2| |#3| |#4| |#5|) (-57 |#1| |#4| |#5|) (-1238) (-576) (-576) (-384 |#1|) (-384 |#1|)) (T -531)) 
 NIL 
 (-57 |#1| |#4| |#5|) 
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(-1121))) (((-576) |#1| $) NIL (|has| |#1| (-1121))) (((-576) (-1 (-112) |#1|) $) NIL)) (-3965 (((-656 |#1|) $) 27 (|has| $ (-6 -4464)))) (-2324 (((-656 $) $) NIL)) (-3695 (((-112) $ $) NIL (|has| |#1| (-1121)))) (-4140 (($ (-783) |#1|) NIL)) (-4252 (((-112) $ (-783)) NIL)) (-1617 (((-576) $) 31 (|has| (-576) (-861)))) (-3124 (($ $ $) NIL (|has| |#1| (-861)))) (-1367 (($ $ $) NIL (|has| |#1| (-861))) (($ (-1 (-112) |#1| |#1|) $ $) 65)) (-4335 (($ $ $) NIL (|has| |#1| (-861))) (($ (-1 (-112) |#1| |#1|) $ $) NIL)) (-2735 (((-656 |#1|) $) NIL (|has| $ (-6 -4464)))) (-3456 (((-112) |#1| $) 60 (-12 (|has| $ (-6 -4464)) (|has| |#1| (-1121))))) (-4027 (((-576) $) NIL (|has| (-576) (-861)))) (-1951 (($ $ $) NIL (|has| |#1| (-861)))) (-4322 (($ (-1 |#1| |#1|) $) NIL (|has| $ (-6 -4465)))) (-4116 (($ (-1 |#1| |#1|) $) NIL) (($ (-1 |#1| |#1| |#1|) $ $) NIL)) (-1649 (($ |#1|) NIL)) (-3557 (((-112) $ (-783)) NIL)) (-2351 (((-656 |#1|) $) NIL)) (-2953 (((-112) $) NIL)) (-1413 (((-1179) $) 58 (|has| 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(|has| $ (-6 -4466)))) (-1894 (($ $ (-656 $)) NIL (|has| $ (-6 -4466)))) (-2300 (($ (-1 (-112) |#1|) $) NIL)) (-1974 (($ (-1 (-112) |#1|) $) NIL (|has| $ (-6 -4465)))) (-2883 ((|#1| $) NIL)) (-3886 (($) NIL T CONST)) (-3990 (($ $) 28 (|has| $ (-6 -4466)))) (-3836 (($ $) 29)) (-3593 (($ $) 18) (($ $ (-783)) 32)) (-1703 (($ $) 62 (|has| |#1| (-1121)))) (-1415 (($ $) NIL (-12 (|has| $ (-6 -4465)) (|has| |#1| (-1121))))) (-1671 (($ |#1| $) NIL (|has| |#1| (-1121))) (($ (-1 (-112) |#1|) $) NIL)) (-3946 (($ (-1 (-112) |#1|) $) NIL (|has| $ (-6 -4465))) (($ |#1| $) NIL (-12 (|has| $ (-6 -4465)) (|has| |#1| (-1121))))) (-3686 ((|#1| (-1 |#1| |#1| |#1|) $) NIL (|has| $ (-6 -4465))) ((|#1| (-1 |#1| |#1| |#1|) $ |#1|) NIL (|has| $ (-6 -4465))) ((|#1| (-1 |#1| |#1| |#1|) $ |#1| |#1|) NIL (-12 (|has| $ (-6 -4465)) (|has| |#1| (-1121))))) (-4335 ((|#1| $ (-576) |#1|) NIL (|has| $ (-6 -4466)))) (-4274 ((|#1| $ (-576)) NIL)) (-4419 (((-112) $) NIL)) (-3660 (((-576) |#1| $ (-576)) NIL (|has| |#1| 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 (((-532 |#1| |#2|) (-678 |#1|) (-1238) (-576)) (T -532)) 
 NIL 
 (-678 |#1|) 
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 (((-535 |#1| |#2| |#3|) (-699 |#1| (-614 |#1| |#3|) (-614 |#1| |#2|)) (-1070) (-576) (-576)) (T -535)) 
 NIL 
 (-699 |#1| (-614 |#1| |#3|) (-614 |#1| |#2|)) 
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-(((-537) (-13 (-1104) (-10 -8 (-15 -3304 ((-518) $)) (-15 -2751 ((-1156) $))))) (T -537)) 
-((-3304 (*1 *2 *1) (-12 (-5 *2 (-518)) (-5 *1 (-537)))) (-2751 (*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-537))))) 
-(-13 (-1104) (-10 -8 (-15 -3304 ((-518) $)) (-15 -2751 ((-1156) $)))) 
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-NIL 
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+NIL 
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 (((-175) . T)) 
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 NIL 
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+NIL 
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 (((-566 |#1|) (-141) (-13 (-416) (-1223))) (T -566)) 
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 (((-21) . T) ((-23) . T) ((-25) . T) ((-38 $) . T) ((-35) . T) ((-95) . T) ((-102) . T) ((-111 $ $) . T) ((-132) . T) ((-628 (-576)) . T) ((-628 $) . T) ((-625 (-876)) . T) ((-174) . T) ((-294) . T) ((-300) . T) ((-464) . T) ((-505) . T) ((-568) . T) ((-658 (-576)) . T) ((-658 $) . T) ((-660 $) . T) ((-652 $) . T) ((-729 $) . T) ((-738) . T) ((-861) . T) ((-864) . T) ((-1023) . T) ((-1059 (-576)) . T) ((-1072 $) . T) ((-1077 $) . T) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1223) . T) ((-1226) . T) ((-1238) . T)) 
-((-3717 (((-2 (|:| -2876 $) (|:| -4451 $) (|:| |associate| $)) $) 9)) (-2544 (($ $) 11)) (-1574 (((-112) $) 20)) (-3451 (((-3 $ "failed") $) 16)) (-2537 (((-112) $ $) 22))) 
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+((-2246 (((-2 (|:| -2778 $) (|:| -4452 $) (|:| |associate| $)) $) 9)) (-2757 (($ $) 11)) (-3788 (((-112) $) 20)) (-1561 (((-3 $ "failed") $) 16)) (-2672 (((-112) $ $) 22))) 
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 NIL 
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 (((-21) . T) ((-23) . T) ((-25) . T) ((-38 $) . T) ((-102) . T) ((-111 $ $) . T) ((-132) . T) ((-628 (-576)) . T) ((-628 $) . T) ((-625 (-876)) . T) ((-174) . T) ((-300) . T) ((-658 (-576)) . T) ((-658 $) . T) ((-660 $) . T) ((-652 $) . T) ((-729 $) . T) ((-738) . T) ((-1072 $) . T) ((-1077 $) . T) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1238) . T)) 
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-((-4438 (*1 *2 *3) (-12 (-5 *3 (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (-5 *2 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1178 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -3343 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))) (-5 *1 (-571)))) (-1681 (*1 *2 *1) (-12 (-5 *2 (-656 (-2 (|:| -4300 (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| -4438 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1178 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -3343 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))))))) (-5 *1 (-571)))) (-2603 (*1 *2 *3) (|partial| -12 (-5 *3 (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (-5 *2 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1178 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -3343 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))) (-5 *1 (-571)))) (-4436 (*1 *1 *2) (-12 (-5 *2 (-2 (|:| -4300 (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| -4438 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1178 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -3343 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) (-5 *1 (-571)))) (-3980 (*1 *1 *2) (-12 (-5 *2 (-656 (-2 (|:| -4300 (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| 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+(-10 -7 (-15 -1828 ((-430 |#1|) |#1|)) (-15 -3921 ((-430 |#1|) |#1|)) (-15 -2395 ((-430 |#1|) |#1|)) (-15 -1921 ((-3 |#1| "failed") |#1|))) 
+((-1844 (($) 9)) (-2604 (((-3 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1178 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -2951 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) "failed") (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) (|:| -2951 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 34)) (-3203 (((-656 (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) (|:| -2951 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) $) 31)) (-1901 (($ (-2 (|:| -4301 (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) (|:| -2951 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| -4440 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1178 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -2951 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) 28)) (-3008 (($ (-656 (-2 (|:| -4301 (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) (|:| -2951 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| -4440 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1178 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -2951 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))))))) 26)) (-4440 (((-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1178 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -2951 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) (|:| -2951 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 38)) (-2281 (((-656 (-2 (|:| -4301 (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) (|:| -2951 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| -4440 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1178 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -2951 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) $) 36)) (-4224 (((-1293)) 11))) 
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 NIL 
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 NIL 
 (-1165) 
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 (((-614 |#1| |#2|) (-1286 |#1|) (-1238) (-576)) (T -614)) 
 NIL 
 (-1286 |#1|) 
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 NIL 
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 (((-616 |#1| |#2|) (-141) (-1121) (-1238)) (T -616)) 
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-((-3569 (((-876) $) 19) (($ (-130)) 13) (((-130) $) 14))) 
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+((-3570 (((-876) $) 19) (($ (-130)) 13) (((-130) $) 14))) 
 (((-617) (-13 (-625 (-876)) (-502 (-130)))) (T -617)) 
 NIL 
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+((-3913 (*1 *2 *3) (-12 (-5 *3 (-1288 *1)) (-4 *1 (-651 *4)) (-4 *4 (-1070)) (-5 *2 (-701 *4)))) (-3913 (*1 *2 *3 *1) (-12 (-5 *3 (-1288 *1)) (-4 *1 (-651 *4)) (-4 *4 (-1070)) (-5 *2 (-2 (|:| -2590 (-701 *4)) (|:| |vec| (-1288 *4)))))) (-2204 (*1 *2 *3) (-12 (-5 *3 (-701 *1)) (-4 *1 (-651 *4)) (-4 *4 (-1070)) (-5 *2 (-701 *4)))) (-2204 (*1 *2 *3 *4) (-12 (-5 *3 (-701 *1)) (-5 *4 (-1288 *1)) (-4 *1 (-651 *5)) (-4 *5 (-1070)) (-5 *2 (-2 (|:| -2590 (-701 *5)) (|:| |vec| (-1288 *5))))))) 
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 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-132) . T) ((-625 (-876)) . T) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-660 |#1|) . T) ((-1121) . T) ((-1238) . T)) 
-((-3488 (((-112) $ $) 7)) (-1413 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3569 (((-876) $) 12)) (-2113 (((-112) $ $) 6)) (-2923 (((-112) $ $) 8)) (* (($ |#1| $) 14) (($ $ |#1|) 17))) 
+((-3489 (((-112) $ $) 7)) (-3699 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3570 (((-876) $) 12)) (-4055 (((-112) $ $) 6)) (-2925 (((-112) $ $) 8)) (* (($ |#1| $) 14) (($ $ |#1|) 17))) 
 (((-652 |#1|) (-141) (-1133)) (T -652)) 
 NIL 
 (-13 (-658 |t#1|) (-1072 |t#1|)) 
@@ -2651,1876 +2651,1876 @@ NIL
 (((-653 |#1| |#2|) (-10 -7 (-15 -1358 ((-1 |#2| |#1|) (-656 |#1|) (-656 |#2|))) (-15 -1358 (|#2| (-656 |#1|) (-656 |#2|) |#1|)) (-15 -1358 ((-1 |#2| |#1|) (-656 |#1|) (-656 |#2|) |#2|)) (-15 -1358 (|#2| (-656 |#1|) (-656 |#2|) |#1| |#2|)) (-15 -1358 ((-1 |#2| |#1|) (-656 |#1|) (-656 |#2|) (-1 |#2| |#1|))) (-15 -1358 (|#2| (-656 |#1|) (-656 |#2|) |#1| (-1 |#2| |#1|)))) (-1121) (-1238)) (T -653)) 
 ((-1358 (*1 *2 *3 *4 *5 *6) (-12 (-5 *3 (-656 *5)) (-5 *4 (-656 *2)) (-5 *6 (-1 *2 *5)) (-4 *5 (-1121)) (-4 *2 (-1238)) (-5 *1 (-653 *5 *2)))) (-1358 (*1 *2 *3 *4 *2) (-12 (-5 *2 (-1 *6 *5)) (-5 *3 (-656 *5)) (-5 *4 (-656 *6)) (-4 *5 (-1121)) (-4 *6 (-1238)) (-5 *1 (-653 *5 *6)))) (-1358 (*1 *2 *3 *4 *5 *2) (-12 (-5 *3 (-656 *5)) (-5 *4 (-656 *2)) (-4 *5 (-1121)) (-4 *2 (-1238)) (-5 *1 (-653 *5 *2)))) (-1358 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-656 *6)) (-5 *4 (-656 *5)) (-4 *6 (-1121)) (-4 *5 (-1238)) (-5 *2 (-1 *5 *6)) (-5 *1 (-653 *6 *5)))) (-1358 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-656 *5)) (-5 *4 (-656 *2)) (-4 *5 (-1121)) (-4 *2 (-1238)) (-5 *1 (-653 *5 *2)))) (-1358 (*1 *2 *3 *4) (-12 (-5 *3 (-656 *5)) (-5 *4 (-656 *6)) (-4 *5 (-1121)) (-4 *6 (-1238)) (-5 *2 (-1 *6 *5)) (-5 *1 (-653 *5 *6))))) 
 (-10 -7 (-15 -1358 ((-1 |#2| |#1|) (-656 |#1|) (-656 |#2|))) (-15 -1358 (|#2| (-656 |#1|) (-656 |#2|) |#1|)) (-15 -1358 ((-1 |#2| |#1|) (-656 |#1|) (-656 |#2|) |#2|)) (-15 -1358 (|#2| (-656 |#1|) (-656 |#2|) |#1| |#2|)) (-15 -1358 ((-1 |#2| |#1|) (-656 |#1|) (-656 |#2|) (-1 |#2| |#1|))) (-15 -1358 (|#2| (-656 |#1|) (-656 |#2|) |#1| (-1 |#2| |#1|)))) 
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-((-4116 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *6 *5)) (-5 *4 (-656 *5)) (-4 *5 (-1238)) (-4 *6 (-1238)) (-5 *2 (-656 *6)) (-5 *1 (-654 *5 *6)))) (-3685 (*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *5 *2)) (-5 *4 (-656 *5)) (-4 *5 (-1238)) (-4 *2 (-1238)) (-5 *1 (-654 *5 *2)))) (-2727 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 *5 *6 *5)) (-5 *4 (-656 *6)) (-4 *6 (-1238)) (-4 *5 (-1238)) (-5 *2 (-656 *5)) (-5 *1 (-654 *6 *5))))) 
-(-10 -7 (-15 -2727 ((-656 |#2|) (-1 |#2| |#1| |#2|) (-656 |#1|) |#2|)) (-15 -3685 (|#2| (-1 |#2| |#1| |#2|) (-656 |#1|) |#2|)) (-15 -4116 ((-656 |#2|) (-1 |#2| |#1|) (-656 |#1|)))) 
-((-4116 (((-656 |#3|) (-1 |#3| |#1| |#2|) (-656 |#1|) (-656 |#2|)) 21))) 
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-((-4116 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 *8 *6 *7)) (-5 *4 (-656 *6)) (-5 *5 (-656 *7)) (-4 *6 (-1238)) (-4 *7 (-1238)) (-4 *8 (-1238)) (-5 *2 (-656 *8)) (-5 *1 (-655 *6 *7 *8))))) 
-(-10 -7 (-15 -4116 ((-656 |#3|) (-1 |#3| |#1| |#2|) (-656 |#1|) (-656 |#2|)))) 
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-((-4134 (*1 *1) (-12 (-5 *1 (-656 *2)) (-4 *2 (-1238)))) (-2650 (*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-656 *3)) (-4 *3 (-1238)))) (-2839 (*1 *1 *2 *1) (-12 (-5 *1 (-656 *2)) (-4 *2 (-1238)))) (-3484 (*1 *1 *1 *1) (-12 (-5 *1 (-656 *2)) (-4 *2 (-1238)))) (-2868 (*1 *1 *1 *1) (-12 (-5 *1 (-656 *2)) (-4 *2 (-1121)) (-4 *2 (-1238)))) (-2255 (*1 *1 *1 *1) (-12 (-5 *1 (-656 *2)) (-4 *2 (-1121)) (-4 *2 (-1238)))) (-1360 (*1 *1 *1 *1) (-12 (-5 *1 (-656 *2)) (-4 *2 (-1121)) (-4 *2 (-1238))))) 
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-((-3488 (((-112) $ $) NIL)) (-1413 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-3569 (((-876) $) 11) (($ (-1202)) NIL) (((-1202) $) NIL) ((|#1| $) 8)) (-2113 (((-112) $ $) NIL)) (-2923 (((-112) $ $) NIL))) 
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+((-4117 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *6 *5)) (-5 *4 (-656 *5)) (-4 *5 (-1238)) (-4 *6 (-1238)) (-5 *2 (-656 *6)) (-5 *1 (-654 *5 *6)))) (-3686 (*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *5 *2)) (-5 *4 (-656 *5)) (-4 *5 (-1238)) (-4 *2 (-1238)) (-5 *1 (-654 *5 *2)))) (-1950 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 *5 *6 *5)) (-5 *4 (-656 *6)) (-4 *6 (-1238)) (-4 *5 (-1238)) (-5 *2 (-656 *5)) (-5 *1 (-654 *6 *5))))) 
+(-10 -7 (-15 -1950 ((-656 |#2|) (-1 |#2| |#1| |#2|) (-656 |#1|) |#2|)) (-15 -3686 (|#2| (-1 |#2| |#1| |#2|) (-656 |#1|) |#2|)) (-15 -4117 ((-656 |#2|) (-1 |#2| |#1|) (-656 |#1|)))) 
+((-4117 (((-656 |#3|) (-1 |#3| |#1| |#2|) (-656 |#1|) (-656 |#2|)) 21))) 
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+((-4117 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 *8 *6 *7)) (-5 *4 (-656 *6)) (-5 *5 (-656 *7)) (-4 *6 (-1238)) (-4 *7 (-1238)) (-4 *8 (-1238)) (-5 *2 (-656 *8)) (-5 *1 (-655 *6 *7 *8))))) 
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 NIL 
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-((-3689 (*1 *2 *1 *3 *3 *4) (-12 (-5 *3 (-1 (-876) (-876) (-876))) (-5 *4 (-576)) (-5 *2 (-876)) (-5 *1 (-661 *5 *6 *7)) (-4 *5 (-1121)) (-4 *6 (-23)) (-14 *7 *6))) (-1584 (*1 *2 *1) (-12 (-5 *2 (-656 (-2 (|:| |gen| *3) (|:| -4103 *4)))) (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1121)) (-4 *4 (-23)) (-14 *5 *4))) (-1461 (*1 *1 *2 *3) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23)) (-14 *4 *3))) (-2606 (*1 *1 *2) (-12 (-5 *2 (-656 (-2 (|:| |gen| *3) (|:| -4103 *4)))) (-4 *3 (-1121)) (-4 *4 (-23)) (-14 *5 *4) (-5 *1 (-661 *3 *4 *5)))) (-2013 (*1 *2 *1 *3) (-12 (-5 *3 (-576)) (-4 *2 (-23)) (-5 *1 (-661 *4 *2 *5)) (-4 *4 (-1121)) (-14 *5 *2))) (-3537 (*1 *2 *1 *3) (-12 (-5 *3 (-576)) (-4 *2 (-1121)) (-5 *1 (-661 *2 *4 *5)) (-4 *4 (-23)) (-14 *5 *4))) (-3834 (*1 *1 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23)) (-14 *4 *3))) (-1474 (*1 *1 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23)) (-14 *4 *3))) (-2096 (*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1121)) (-4 *4 (-23)) (-14 *5 *4))) (-3198 (*1 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23)) (-14 *4 *3))) (-3289 (*1 *1 *1 *2) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23)) (-14 *4 *3))) (-3314 (*1 *1 *2 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23)) (-14 *4 *3))) (-3601 (*1 *1 *2 *3 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23)) (-14 *4 *3))) (-3601 (*1 *1 *1 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23)) (-14 *4 *3))) (-3380 (*1 *2 *1 *1) (-12 (-5 *2 (-112)) (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1121)) (-4 *4 (-23)) (-14 *5 *4))) (-3075 (*1 *1 *2 *1) (-12 (-5 *2 (-1 *4 *4)) (-4 *4 (-23)) (-14 *5 *4) (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1121)))) (-3250 (*1 *1 *2 *1) (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1121)) (-5 *1 (-661 *3 *4 *5)) (-4 *4 (-23)) (-14 *5 *4)))) 
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-((-4027 (((-576) $) 31)) (-2174 (($ |#2| $ (-576)) 27) (($ $ $ (-576)) NIL)) (-2764 (((-656 (-576)) $) 12)) (-4018 (((-112) (-576) $) 18)) (-1615 (($ $ |#2|) 24) (($ |#2| $) 25) (($ $ $) NIL) (($ (-656 $)) NIL))) 
-(((-662 |#1| |#2|) (-10 -8 (-15 -2174 (|#1| |#1| |#1| (-576))) (-15 -2174 (|#1| |#2| |#1| (-576))) (-15 -1615 (|#1| (-656 |#1|))) (-15 -1615 (|#1| |#1| |#1|)) (-15 -1615 (|#1| |#2| |#1|)) (-15 -1615 (|#1| |#1| |#2|)) (-15 -4027 ((-576) |#1|)) (-15 -2764 ((-656 (-576)) |#1|)) (-15 -4018 ((-112) (-576) |#1|))) (-663 |#2|) (-1238)) (T -662)) 
-NIL 
-(-10 -8 (-15 -2174 (|#1| |#1| |#1| (-576))) (-15 -2174 (|#1| |#2| |#1| (-576))) (-15 -1615 (|#1| (-656 |#1|))) (-15 -1615 (|#1| |#1| |#1|)) (-15 -1615 (|#1| |#2| |#1|)) (-15 -1615 (|#1| |#1| |#2|)) (-15 -4027 ((-576) |#1|)) (-15 -2764 ((-656 (-576)) |#1|)) (-15 -4018 ((-112) (-576) |#1|))) 
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+((-3489 (((-112) $ $) NIL)) (-2098 (((-783) $) 17)) (-3702 (($ $ |#1|) 69)) (-3990 (($ $) 39)) (-3836 (($ $) 37)) (-1572 (((-3 |#1| "failed") $) 61)) (-2860 ((|#1| $) NIL)) (-3604 (($ |#1| |#2| $) 79) (($ $ $) 81)) (-3234 (((-876) $ (-1 (-876) (-876) (-876)) (-1 (-876) (-876) (-876)) (-576)) 56)) (-4276 ((|#1| $ (-576)) 35)) (-2414 ((|#2| $ (-576)) 34)) (-3310 (($ (-1 |#1| |#1|) $) 41)) (-2053 (($ (-1 |#2| |#2|) $) 47)) (-4021 (($) 11)) (-2489 (($ |#1| |#2|) 24)) (-2096 (($ (-656 (-2 (|:| |gen| |#1|) (|:| -4104 |#2|)))) 25)) (-2582 (((-656 (-2 (|:| |gen| |#1|) (|:| -4104 |#2|))) $) 14)) (-2636 (($ |#1| $) 71)) (-3699 (((-1179) $) NIL)) (-1450 (((-1141) $) NIL)) (-2059 (((-112) $ $) 76)) (-3570 (((-876) $) 21) (($ |#1|) 18)) (-4055 (((-112) $ $) NIL)) (-2925 (((-112) $ $) 27))) 
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+((-3234 (*1 *2 *1 *3 *3 *4) (-12 (-5 *3 (-1 (-876) (-876) (-876))) (-5 *4 (-576)) (-5 *2 (-876)) (-5 *1 (-661 *5 *6 *7)) (-4 *5 (-1121)) (-4 *6 (-23)) (-14 *7 *6))) (-2582 (*1 *2 *1) (-12 (-5 *2 (-656 (-2 (|:| |gen| *3) (|:| -4104 *4)))) (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1121)) (-4 *4 (-23)) (-14 *5 *4))) (-2489 (*1 *1 *2 *3) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23)) (-14 *4 *3))) (-2096 (*1 *1 *2) (-12 (-5 *2 (-656 (-2 (|:| |gen| *3) (|:| -4104 *4)))) (-4 *3 (-1121)) (-4 *4 (-23)) (-14 *5 *4) (-5 *1 (-661 *3 *4 *5)))) (-2414 (*1 *2 *1 *3) (-12 (-5 *3 (-576)) (-4 *2 (-23)) (-5 *1 (-661 *4 *2 *5)) (-4 *4 (-1121)) (-14 *5 *2))) (-4276 (*1 *2 *1 *3) (-12 (-5 *3 (-576)) (-4 *2 (-1121)) (-5 *1 (-661 *2 *4 *5)) (-4 *4 (-23)) (-14 *5 *4))) (-3836 (*1 *1 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23)) (-14 *4 *3))) (-3990 (*1 *1 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23)) (-14 *4 *3))) (-2098 (*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1121)) (-4 *4 (-23)) (-14 *5 *4))) (-4021 (*1 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23)) (-14 *4 *3))) (-3702 (*1 *1 *1 *2) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23)) (-14 *4 *3))) (-2636 (*1 *1 *2 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23)) (-14 *4 *3))) (-3604 (*1 *1 *2 *3 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23)) (-14 *4 *3))) (-3604 (*1 *1 *1 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23)) (-14 *4 *3))) (-2059 (*1 *2 *1 *1) (-12 (-5 *2 (-112)) (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1121)) (-4 *4 (-23)) (-14 *5 *4))) (-2053 (*1 *1 *2 *1) (-12 (-5 *2 (-1 *4 *4)) (-4 *4 (-23)) (-14 *5 *4) (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1121)))) (-3310 (*1 *1 *2 *1) (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1121)) (-5 *1 (-661 *3 *4 *5)) (-4 *4 (-23)) (-14 *5 *4)))) 
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+((-2137 (((-576) $) 31)) (-2176 (($ |#2| $ (-576)) 27) (($ $ $ (-576)) NIL)) (-4234 (((-656 (-576)) $) 12)) (-3354 (((-112) (-576) $) 18)) (-1615 (($ $ |#2|) 24) (($ |#2| $) 25) (($ $ $) NIL) (($ (-656 $)) NIL))) 
+(((-662 |#1| |#2|) (-10 -8 (-15 -2176 (|#1| |#1| |#1| (-576))) (-15 -2176 (|#1| |#2| |#1| (-576))) (-15 -1615 (|#1| (-656 |#1|))) (-15 -1615 (|#1| |#1| |#1|)) (-15 -1615 (|#1| |#2| |#1|)) (-15 -1615 (|#1| |#1| |#2|)) (-15 -2137 ((-576) |#1|)) (-15 -4234 ((-656 (-576)) |#1|)) (-15 -3354 ((-112) (-576) |#1|))) (-663 |#2|) (-1238)) (T -662)) 
+NIL 
+(-10 -8 (-15 -2176 (|#1| |#1| |#1| (-576))) (-15 -2176 (|#1| |#2| |#1| (-576))) (-15 -1615 (|#1| (-656 |#1|))) (-15 -1615 (|#1| |#1| |#1|)) (-15 -1615 (|#1| |#2| |#1|)) (-15 -1615 (|#1| |#1| |#2|)) (-15 -2137 ((-576) |#1|)) (-15 -4234 ((-656 (-576)) |#1|)) (-15 -3354 ((-112) (-576) |#1|))) 
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 NIL 
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 NIL 
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 (((-670 |#1| |#2|) (-668 |#1|) (-1070) (-1 |#1| |#1|)) (T -670)) 
 NIL 
 (-668 |#1|) 
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-NIL 
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 NIL 
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-NIL 
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+((-4287 (*1 *2 *1) (-12 (-5 *2 (-656 (-1156))) (-5 *1 (-683))))) 
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-((-3685 ((|#5| (-1 |#5| |#1| |#5|) |#4| |#5|) 39)) (-4116 (((-3 |#8| "failed") (-1 (-3 |#5| "failed") |#1|) |#4|) 37) ((|#8| (-1 |#5| |#1|) |#4|) 31))) 
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-((-3685 (*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *5 *2)) (-4 *5 (-1070)) (-4 *2 (-1070)) (-4 *6 (-384 *5)) (-4 *7 (-384 *5)) (-4 *8 (-384 *2)) (-4 *9 (-384 *2)) (-5 *1 (-697 *5 *6 *7 *4 *2 *8 *9 *10)) (-4 *4 (-699 *5 *6 *7)) (-4 *10 (-699 *2 *8 *9)))) (-4116 (*1 *2 *3 *4) (|partial| -12 (-5 *3 (-1 (-3 *8 "failed") *5)) (-4 *5 (-1070)) (-4 *8 (-1070)) (-4 *6 (-384 *5)) (-4 *7 (-384 *5)) (-4 *2 (-699 *8 *9 *10)) (-5 *1 (-697 *5 *6 *7 *4 *8 *9 *10 *2)) (-4 *4 (-699 *5 *6 *7)) (-4 *9 (-384 *8)) (-4 *10 (-384 *8)))) (-4116 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *8 *5)) (-4 *5 (-1070)) (-4 *8 (-1070)) (-4 *6 (-384 *5)) (-4 *7 (-384 *5)) (-4 *2 (-699 *8 *9 *10)) (-5 *1 (-697 *5 *6 *7 *4 *8 *9 *10 *2)) (-4 *4 (-699 *5 *6 *7)) (-4 *9 (-384 *8)) (-4 *10 (-384 *8))))) 
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-NIL 
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+((-3489 (((-112) $ $) NIL)) (-4308 (((-112) $) 33)) (-4367 (((-3 $ "failed") $ $) NIL)) (-3886 (($) NIL T CONST)) (-3686 (($ |#1| |#2|) 25)) (-1561 (((-3 $ "failed") $) 51)) (-4193 (((-112) $) 35)) (-1633 ((|#2| $) 12)) (-3699 (((-1179) $) NIL)) (-2050 (($ $) 52)) (-1450 (((-1141) $) NIL)) (-3011 (((-3 $ "failed") $ $) 50)) (-3570 (((-876) $) 24) (($ (-576)) 19) ((|#1| $) 13)) (-3996 (((-783)) 28 T CONST)) (-4055 (((-112) $ $) NIL)) (-2721 (($) 16 T CONST)) (-2732 (($) 30 T CONST)) (-2925 (((-112) $ $) 41)) (-3044 (($ $) 46) (($ $ $) 40)) (-3030 (($ $ $) 43)) (** (($ $ (-940)) NIL) (($ $ (-783)) NIL)) (* (($ (-940) $) NIL) (($ (-783) $) NIL) (($ (-576) $) 21) (($ $ $) 20))) 
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+((-1561 (*1 *1 *1) (|partial| -12 (-5 *1 (-727 *2 *3 *4 *5 *6)) (-4 *2 (-174)) (-4 *3 (-23)) (-14 *4 (-1 *2 *2 *3)) (-14 *5 (-1 (-3 *3 "failed") *3 *3)) (-14 *6 (-1 (-3 *2 "failed") *2 *2 *3)))) (-1633 (*1 *2 *1) (-12 (-4 *2 (-23)) (-5 *1 (-727 *3 *2 *4 *5 *6)) (-4 *3 (-174)) (-14 *4 (-1 *3 *3 *2)) (-14 *5 (-1 (-3 *2 "failed") *2 *2)) (-14 *6 (-1 (-3 *3 "failed") *3 *3 *2)))) (-3570 (*1 *2 *1) (-12 (-4 *2 (-174)) (-5 *1 (-727 *2 *3 *4 *5 *6)) (-4 *3 (-23)) (-14 *4 (-1 *2 *2 *3)) (-14 *5 (-1 (-3 *3 "failed") *3 *3)) (-14 *6 (-1 (-3 *2 "failed") *2 *2 *3)))) (-3686 (*1 *1 *2 *3) (-12 (-5 *1 (-727 *2 *3 *4 *5 *6)) (-4 *2 (-174)) (-4 *3 (-23)) (-14 *4 (-1 *2 *2 *3)) (-14 *5 (-1 (-3 *3 "failed") *3 *3)) (-14 *6 (-1 (-3 *2 "failed") *2 *2 *3)))) (-3011 (*1 *1 *1 *1) (|partial| -12 (-5 *1 (-727 *2 *3 *4 *5 *6)) (-4 *2 (-174)) (-4 *3 (-23)) (-14 *4 (-1 *2 *2 *3)) (-14 *5 (-1 (-3 *3 "failed") *3 *3)) (-14 *6 (-1 (-3 *2 "failed") *2 *2 *3)))) (-2050 (*1 *1 *1) (-12 (-5 *1 (-727 *2 *3 *4 *5 *6)) (-4 *2 (-174)) (-4 *3 (-23)) (-14 *4 (-1 *2 *2 *3)) (-14 *5 (-1 (-3 *3 "failed") *3 *3)) (-14 *6 (-1 (-3 *2 "failed") *2 *2 *3))))) 
+(-13 (-1070) (-10 -8 (-15 -1633 (|#2| $)) (-15 -3570 (|#1| $)) (-15 -3686 ($ |#1| |#2|)) (-15 -3011 ((-3 $ "failed") $ $)) (-15 -1561 ((-3 $ "failed") $)) (-15 -2050 ($ $)))) 
 ((* (($ (-940) $) NIL) (($ (-783) $) NIL) (($ (-576) $) NIL) (($ |#2| $) NIL) (($ $ |#2|) 9))) 
 (((-728 |#1| |#2|) (-10 -8 (-15 * (|#1| |#1| |#2|)) (-15 * (|#1| |#2| |#1|)) (-15 * (|#1| (-576) |#1|)) (-15 * (|#1| (-783) |#1|)) (-15 * (|#1| (-940) |#1|))) (-729 |#2|) (-174)) (T -728)) 
 NIL 
 (-10 -8 (-15 * (|#1| |#1| |#2|)) (-15 * (|#1| |#2| |#1|)) (-15 * (|#1| (-576) |#1|)) (-15 * (|#1| (-783) |#1|)) (-15 * (|#1| (-940) |#1|))) 
-((-3488 (((-112) $ $) 7)) (-1812 (((-112) $) 17)) (-2780 (((-3 $ "failed") $ $) 20)) (-3306 (($) 18 T CONST)) (-1413 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3569 (((-876) $) 12)) (-2113 (((-112) $ $) 6)) (-2719 (($) 19 T CONST)) (-2923 (((-112) $ $) 8)) (-3043 (($ $) 23) (($ $ $) 22)) (-3029 (($ $ $) 15)) (* (($ (-940) $) 14) (($ (-783) $) 16) (($ (-576) $) 24) (($ |#1| $) 27) (($ $ |#1|) 31))) 
+((-3489 (((-112) $ $) 7)) (-4308 (((-112) $) 17)) (-4367 (((-3 $ "failed") $ $) 20)) (-3886 (($) 18 T CONST)) (-3699 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3570 (((-876) $) 12)) (-4055 (((-112) $ $) 6)) (-2721 (($) 19 T CONST)) (-2925 (((-112) $ $) 8)) (-3044 (($ $) 23) (($ $ $) 22)) (-3030 (($ $ $) 15)) (* (($ (-940) $) 14) (($ (-783) $) 16) (($ (-576) $) 24) (($ |#1| $) 27) (($ $ |#1|) 31))) 
 (((-729 |#1|) (-141) (-174)) (T -729)) 
 NIL 
 (-13 (-111 |t#1| |t#1|) (-652 |t#1|)) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-111 |#1| |#1|) . T) ((-132) . T) ((-625 (-876)) . T) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-660 |#1|) . T) ((-652 |#1|) . T) ((-1072 |#1|) . T) ((-1077 |#1|) . T) ((-1121) . T) ((-1238) . T)) 
-((-3488 (((-112) $ $) NIL)) (-2742 (($ |#1|) 17) (($ $ |#1|) 20)) (-2610 (($ |#1|) 18) (($ $ |#1|) 21)) (-3306 (($) NIL T CONST)) (-3451 (((-3 $ "failed") $) NIL) (($) 19) (($ $) 22)) (-3215 (((-112) $) NIL)) (-2921 (($ |#1| |#1| |#1| |#1|) 8)) (-1413 (((-1179) $) NIL)) (-2048 (($ $) 16)) (-1450 (((-1141) $) NIL)) (-3283 ((|#1| $ |#1|) 24) (((-845 |#1|) $ (-845 |#1|)) 32)) (-2318 (($ $ $) NIL)) (-2604 (($ $ $) NIL)) (-3569 (((-876) $) 39)) (-2113 (((-112) $ $) NIL)) (-2730 (($) 9 T CONST)) (-2923 (((-112) $ $) 48)) (-3056 (($ $ $) NIL)) (** (($ $ (-940)) NIL) (($ $ (-783)) NIL) (($ $ (-576)) NIL)) (* (($ $ $) 14))) 
-(((-730 |#1|) (-13 (-485) (-10 -8 (-15 -2921 ($ |#1| |#1| |#1| |#1|)) (-15 -2742 ($ |#1|)) (-15 -2610 ($ |#1|)) (-15 -3451 ($)) (-15 -2742 ($ $ |#1|)) (-15 -2610 ($ $ |#1|)) (-15 -3451 ($ $)) (-15 -3283 (|#1| $ |#1|)) (-15 -3283 ((-845 |#1|) $ (-845 |#1|))))) (-374)) (T -730)) 
-((-2921 (*1 *1 *2 *2 *2 *2) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374)))) (-2742 (*1 *1 *2) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374)))) (-2610 (*1 *1 *2) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374)))) (-3451 (*1 *1) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374)))) (-2742 (*1 *1 *1 *2) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374)))) (-2610 (*1 *1 *1 *2) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374)))) (-3451 (*1 *1 *1) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374)))) (-3283 (*1 *2 *1 *2) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374)))) (-3283 (*1 *2 *1 *2) (-12 (-5 *2 (-845 *3)) (-4 *3 (-374)) (-5 *1 (-730 *3))))) 
-(-13 (-485) (-10 -8 (-15 -2921 ($ |#1| |#1| |#1| |#1|)) (-15 -2742 ($ |#1|)) (-15 -2610 ($ |#1|)) (-15 -3451 ($)) (-15 -2742 ($ $ |#1|)) (-15 -2610 ($ $ |#1|)) (-15 -3451 ($ $)) (-15 -3283 (|#1| $ |#1|)) (-15 -3283 ((-845 |#1|) $ (-845 |#1|))))) 
-((-1845 (($ $ (-940)) 19)) (-2707 (($ $ (-940)) 20)) (** (($ $ (-940)) 10))) 
-(((-731 |#1|) (-10 -8 (-15 ** (|#1| |#1| (-940))) (-15 -2707 (|#1| |#1| (-940))) (-15 -1845 (|#1| |#1| (-940)))) (-732)) (T -731)) 
-NIL 
-(-10 -8 (-15 ** (|#1| |#1| (-940))) (-15 -2707 (|#1| |#1| (-940))) (-15 -1845 (|#1| |#1| (-940)))) 
-((-3488 (((-112) $ $) 7)) (-1845 (($ $ (-940)) 16)) (-2707 (($ $ (-940)) 15)) (-1413 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3569 (((-876) $) 12)) (-2113 (((-112) $ $) 6)) (-2923 (((-112) $ $) 8)) (** (($ $ (-940)) 14)) (* (($ $ $) 17))) 
+((-3489 (((-112) $ $) NIL)) (-2745 (($ |#1|) 17) (($ $ |#1|) 20)) (-2131 (($ |#1|) 18) (($ $ |#1|) 21)) (-3886 (($) NIL T CONST)) (-1561 (((-3 $ "failed") $) NIL) (($) 19) (($ $) 22)) (-4193 (((-112) $) NIL)) (-3250 (($ |#1| |#1| |#1| |#1|) 8)) (-3699 (((-1179) $) NIL)) (-2050 (($ $) 16)) (-1450 (((-1141) $) NIL)) (-3284 ((|#1| $ |#1|) 24) (((-845 |#1|) $ (-845 |#1|)) 32)) (-2314 (($ $ $) NIL)) (-2076 (($ $ $) NIL)) (-3570 (((-876) $) 39)) (-4055 (((-112) $ $) NIL)) (-2732 (($) 9 T CONST)) (-2925 (((-112) $ $) 48)) (-3057 (($ $ $) NIL)) (** (($ $ (-940)) NIL) (($ $ (-783)) NIL) (($ $ (-576)) NIL)) (* (($ $ $) 14))) 
+(((-730 |#1|) (-13 (-485) (-10 -8 (-15 -3250 ($ |#1| |#1| |#1| |#1|)) (-15 -2745 ($ |#1|)) (-15 -2131 ($ |#1|)) (-15 -1561 ($)) (-15 -2745 ($ $ |#1|)) (-15 -2131 ($ $ |#1|)) (-15 -1561 ($ $)) (-15 -3284 (|#1| $ |#1|)) (-15 -3284 ((-845 |#1|) $ (-845 |#1|))))) (-374)) (T -730)) 
+((-3250 (*1 *1 *2 *2 *2 *2) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374)))) (-2745 (*1 *1 *2) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374)))) (-2131 (*1 *1 *2) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374)))) (-1561 (*1 *1) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374)))) (-2745 (*1 *1 *1 *2) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374)))) (-2131 (*1 *1 *1 *2) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374)))) (-1561 (*1 *1 *1) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374)))) (-3284 (*1 *2 *1 *2) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374)))) (-3284 (*1 *2 *1 *2) (-12 (-5 *2 (-845 *3)) (-4 *3 (-374)) (-5 *1 (-730 *3))))) 
+(-13 (-485) (-10 -8 (-15 -3250 ($ |#1| |#1| |#1| |#1|)) (-15 -2745 ($ |#1|)) (-15 -2131 ($ |#1|)) (-15 -1561 ($)) (-15 -2745 ($ $ |#1|)) (-15 -2131 ($ $ |#1|)) (-15 -1561 ($ $)) (-15 -3284 (|#1| $ |#1|)) (-15 -3284 ((-845 |#1|) $ (-845 |#1|))))) 
+((-3377 (($ $ (-940)) 19)) (-1783 (($ $ (-940)) 20)) (** (($ $ (-940)) 10))) 
+(((-731 |#1|) (-10 -8 (-15 ** (|#1| |#1| (-940))) (-15 -1783 (|#1| |#1| (-940))) (-15 -3377 (|#1| |#1| (-940)))) (-732)) (T -731)) 
+NIL 
+(-10 -8 (-15 ** (|#1| |#1| (-940))) (-15 -1783 (|#1| |#1| (-940))) (-15 -3377 (|#1| |#1| (-940)))) 
+((-3489 (((-112) $ $) 7)) (-3377 (($ $ (-940)) 16)) (-1783 (($ $ (-940)) 15)) (-3699 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3570 (((-876) $) 12)) (-4055 (((-112) $ $) 6)) (-2925 (((-112) $ $) 8)) (** (($ $ (-940)) 14)) (* (($ $ $) 17))) 
 (((-732) (-141)) (T -732)) 
-((* (*1 *1 *1 *1) (-4 *1 (-732))) (-1845 (*1 *1 *1 *2) (-12 (-4 *1 (-732)) (-5 *2 (-940)))) (-2707 (*1 *1 *1 *2) (-12 (-4 *1 (-732)) (-5 *2 (-940)))) (** (*1 *1 *1 *2) (-12 (-4 *1 (-732)) (-5 *2 (-940))))) 
-(-13 (-1121) (-10 -8 (-15 * ($ $ $)) (-15 -1845 ($ $ (-940))) (-15 -2707 ($ $ (-940))) (-15 ** ($ $ (-940))))) 
+((* (*1 *1 *1 *1) (-4 *1 (-732))) (-3377 (*1 *1 *1 *2) (-12 (-4 *1 (-732)) (-5 *2 (-940)))) (-1783 (*1 *1 *1 *2) (-12 (-4 *1 (-732)) (-5 *2 (-940)))) (** (*1 *1 *1 *2) (-12 (-4 *1 (-732)) (-5 *2 (-940))))) 
+(-13 (-1121) (-10 -8 (-15 * ($ $ $)) (-15 -3377 ($ $ (-940))) (-15 -1783 ($ $ (-940))) (-15 ** ($ $ (-940))))) 
 (((-102) . T) ((-625 (-876)) . T) ((-1121) . T) ((-1238) . T)) 
-((-1845 (($ $ (-940)) NIL) (($ $ (-783)) 18)) (-3215 (((-112) $) 10)) (-2707 (($ $ (-940)) NIL) (($ $ (-783)) 19)) (** (($ $ (-940)) NIL) (($ $ (-783)) 16))) 
-(((-733 |#1|) (-10 -8 (-15 ** (|#1| |#1| (-783))) (-15 -2707 (|#1| |#1| (-783))) (-15 -1845 (|#1| |#1| (-783))) (-15 -3215 ((-112) |#1|)) (-15 ** (|#1| |#1| (-940))) (-15 -2707 (|#1| |#1| (-940))) (-15 -1845 (|#1| |#1| (-940)))) (-734)) (T -733)) 
+((-3377 (($ $ (-940)) NIL) (($ $ (-783)) 18)) (-4193 (((-112) $) 10)) (-1783 (($ $ (-940)) NIL) (($ $ (-783)) 19)) (** (($ $ (-940)) NIL) (($ $ (-783)) 16))) 
+(((-733 |#1|) (-10 -8 (-15 ** (|#1| |#1| (-783))) (-15 -1783 (|#1| |#1| (-783))) (-15 -3377 (|#1| |#1| (-783))) (-15 -4193 ((-112) |#1|)) (-15 ** (|#1| |#1| (-940))) (-15 -1783 (|#1| |#1| (-940))) (-15 -3377 (|#1| |#1| (-940)))) (-734)) (T -733)) 
 NIL 
-(-10 -8 (-15 ** (|#1| |#1| (-783))) (-15 -2707 (|#1| |#1| (-783))) (-15 -1845 (|#1| |#1| (-783))) (-15 -3215 ((-112) |#1|)) (-15 ** (|#1| |#1| (-940))) (-15 -2707 (|#1| |#1| (-940))) (-15 -1845 (|#1| |#1| (-940)))) 
-((-3488 (((-112) $ $) 7)) (-3417 (((-3 $ "failed") $) 18)) (-1845 (($ $ (-940)) 16) (($ $ (-783)) 23)) (-3451 (((-3 $ "failed") $) 20)) (-3215 (((-112) $) 24)) (-3974 (((-3 $ "failed") $) 19)) (-2707 (($ $ (-940)) 15) (($ $ (-783)) 22)) (-1413 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3569 (((-876) $) 12)) (-2113 (((-112) $ $) 6)) (-2730 (($) 25 T CONST)) (-2923 (((-112) $ $) 8)) (** (($ $ (-940)) 14) (($ $ (-783)) 21)) (* (($ $ $) 17))) 
+(-10 -8 (-15 ** (|#1| |#1| (-783))) (-15 -1783 (|#1| |#1| (-783))) (-15 -3377 (|#1| |#1| (-783))) (-15 -4193 ((-112) |#1|)) (-15 ** (|#1| |#1| (-940))) (-15 -1783 (|#1| |#1| (-940))) (-15 -3377 (|#1| |#1| (-940)))) 
+((-3489 (((-112) $ $) 7)) (-2454 (((-3 $ "failed") $) 18)) (-3377 (($ $ (-940)) 16) (($ $ (-783)) 23)) (-1561 (((-3 $ "failed") $) 20)) (-4193 (((-112) $) 24)) (-2941 (((-3 $ "failed") $) 19)) (-1783 (($ $ (-940)) 15) (($ $ (-783)) 22)) (-3699 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3570 (((-876) $) 12)) (-4055 (((-112) $ $) 6)) (-2732 (($) 25 T CONST)) (-2925 (((-112) $ $) 8)) (** (($ $ (-940)) 14) (($ $ (-783)) 21)) (* (($ $ $) 17))) 
 (((-734) (-141)) (T -734)) 
-((-2730 (*1 *1) (-4 *1 (-734))) (-3215 (*1 *2 *1) (-12 (-4 *1 (-734)) (-5 *2 (-112)))) (-1845 (*1 *1 *1 *2) (-12 (-4 *1 (-734)) (-5 *2 (-783)))) (-2707 (*1 *1 *1 *2) (-12 (-4 *1 (-734)) (-5 *2 (-783)))) (** (*1 *1 *1 *2) (-12 (-4 *1 (-734)) (-5 *2 (-783)))) (-3451 (*1 *1 *1) (|partial| -4 *1 (-734))) (-3974 (*1 *1 *1) (|partial| -4 *1 (-734))) (-3417 (*1 *1 *1) (|partial| -4 *1 (-734)))) 
-(-13 (-732) (-10 -8 (-15 (-2730) ($) -1480) (-15 -3215 ((-112) $)) (-15 -1845 ($ $ (-783))) (-15 -2707 ($ $ (-783))) (-15 ** ($ $ (-783))) (-15 -3451 ((-3 $ "failed") $)) (-15 -3974 ((-3 $ "failed") $)) (-15 -3417 ((-3 $ "failed") $)))) 
+((-2732 (*1 *1) (-4 *1 (-734))) (-4193 (*1 *2 *1) (-12 (-4 *1 (-734)) (-5 *2 (-112)))) (-3377 (*1 *1 *1 *2) (-12 (-4 *1 (-734)) (-5 *2 (-783)))) (-1783 (*1 *1 *1 *2) (-12 (-4 *1 (-734)) (-5 *2 (-783)))) (** (*1 *1 *1 *2) (-12 (-4 *1 (-734)) (-5 *2 (-783)))) (-1561 (*1 *1 *1) (|partial| -4 *1 (-734))) (-2941 (*1 *1 *1) (|partial| -4 *1 (-734))) (-2454 (*1 *1 *1) (|partial| -4 *1 (-734)))) 
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$ (-783)) 36) (($ $ (-576)) 129 (|has| |#1| (-374)))) (* (($ (-940) $) 14) (($ (-783) $) 16) (($ (-576) $) 24) (($ $ $) 27) (($ $ |#1|) 46) (($ |#1| $) 45) (($ (-419 (-576)) $) 131 (|has| |#1| (-374))) (($ $ (-419 (-576))) 130 (|has| |#1| (-374))))) 
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-(((-21) . T) ((-23) . T) ((-25) . T) ((-38 #0=(-419 (-576))) -2758 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-38 |#1|) . T) ((-38 $) -2758 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-102) . T) ((-111 #0# #0#) -2758 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-111 |#1| |#1|) . T) ((-111 $ $) . T) ((-132) . T) ((-146) -2758 (|has| |#1| (-360)) (|has| |#1| (-146))) ((-148) |has| |#1| (-148)) ((-628 #0#) -2758 (|has| |#1| (-1059 (-419 (-576)))) (|has| |#1| (-360)) (|has| |#1| (-374))) ((-628 (-576)) . T) ((-628 |#1|) . T) ((-628 $) -2758 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-625 (-876)) . T) ((-174) . T) ((-626 |#2|) . T) ((-234 $) -2758 (|has| |#1| (-360)) (-12 (|has| |#1| (-237)) (|has| |#1| (-374))) (-12 (|has| |#1| (-238)) (|has| |#1| (-374)))) ((-232 |#1|) |has| |#1| (-374)) ((-238) -2758 (|has| |#1| (-360)) (-12 (|has| |#1| (-238)) (|has| |#1| (-374)))) ((-237) -2758 (|has| |#1| (-360)) (-12 (|has| |#1| (-237)) (|has| |#1| (-374))) (-12 (|has| |#1| (-238)) (|has| |#1| (-374)))) ((-272 |#1|) |has| |#1| (-374)) ((-248) -2758 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-300) -2758 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-317) -2758 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-374) -2758 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-414) |has| |#1| (-360)) ((-379) -2758 (|has| |#1| (-379)) (|has| |#1| (-360))) ((-360) |has| |#1| (-360)) ((-381 |#1| |#2|) . T) ((-421 |#1| |#2|) . T) ((-388 |#1|) . T) ((-423 |#1|) . T) ((-464) -2758 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-568) -2758 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-658 #0#) -2758 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 #0#) -2758 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-660 #1=(-576)) |has| |#1| (-651 (-576))) ((-660 |#1|) . T) ((-660 $) . T) ((-652 #0#) -2758 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-652 |#1|) . T) ((-652 $) -2758 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-651 #1#) |has| |#1| (-651 (-576))) ((-651 |#1|) . T) ((-729 #0#) -2758 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-729 |#1|) . T) ((-729 $) -2758 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-738) . T) ((-911 $ #2=(-1197)) -2758 (-12 (|has| |#1| (-374)) (|has| |#1| (-919 (-1197)))) (-12 (|has| |#1| (-374)) (|has| |#1| (-917 (-1197))))) ((-917 (-1197)) -12 (|has| |#1| (-374)) (|has| |#1| (-917 (-1197)))) ((-919 #2#) -2758 (-12 (|has| |#1| (-374)) (|has| |#1| (-919 (-1197)))) (-12 (|has| |#1| (-374)) (|has| |#1| (-917 (-1197))))) ((-939) -2758 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-1059 (-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) ((-1059 (-576)) |has| |#1| (-1059 (-576))) ((-1059 |#1|) . T) ((-1072 #0#) -2758 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-1072 |#1|) . T) ((-1072 $) . T) ((-1077 #0#) -2758 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-1077 |#1|) . T) ((-1077 $) . T) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1173) |has| |#1| (-360)) ((-1238) . T) ((-1242) -2758 (|has| |#1| (-360)) (|has| |#1| (-374)))) 
-((-3306 (($) 11)) (-3451 (((-3 $ "failed") $) 14)) (-3215 (((-112) $) 10)) (** (($ $ (-940)) NIL) (($ $ (-783)) 20))) 
-(((-737 |#1|) (-10 -8 (-15 -3451 ((-3 |#1| "failed") |#1|)) (-15 ** (|#1| |#1| (-783))) (-15 -3215 ((-112) |#1|)) (-15 -3306 (|#1|)) (-15 ** (|#1| |#1| (-940)))) (-738)) (T -737)) 
-NIL 
-(-10 -8 (-15 -3451 ((-3 |#1| "failed") |#1|)) (-15 ** (|#1| |#1| (-783))) (-15 -3215 ((-112) |#1|)) (-15 -3306 (|#1|)) (-15 ** (|#1| |#1| (-940)))) 
-((-3488 (((-112) $ $) 7)) (-3306 (($) 19 T CONST)) (-3451 (((-3 $ "failed") $) 16)) (-3215 (((-112) $) 18)) (-1413 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3569 (((-876) $) 12)) (-2113 (((-112) $ $) 6)) (-2730 (($) 20 T CONST)) (-2923 (((-112) $ $) 8)) (** (($ $ (-940)) 14) (($ $ (-783)) 17)) (* (($ $ $) 15))) 
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+(((-21) . T) ((-23) . T) ((-25) . T) ((-38 #0=(-419 (-576))) -2760 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-38 |#1|) . T) ((-38 $) -2760 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-102) . T) ((-111 #0# #0#) -2760 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-111 |#1| |#1|) . T) ((-111 $ $) . T) ((-132) . T) ((-146) -2760 (|has| |#1| (-360)) (|has| |#1| (-146))) ((-148) |has| |#1| (-148)) ((-628 #0#) -2760 (|has| |#1| (-1059 (-419 (-576)))) (|has| |#1| (-360)) (|has| |#1| (-374))) ((-628 (-576)) . T) ((-628 |#1|) . T) ((-628 $) -2760 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-625 (-876)) . T) ((-174) . T) ((-626 |#2|) . T) ((-234 $) -2760 (|has| |#1| (-360)) (-12 (|has| |#1| (-237)) (|has| |#1| (-374))) (-12 (|has| |#1| (-238)) (|has| |#1| (-374)))) ((-232 |#1|) |has| |#1| (-374)) ((-238) -2760 (|has| |#1| (-360)) (-12 (|has| |#1| (-238)) (|has| |#1| (-374)))) ((-237) -2760 (|has| |#1| (-360)) (-12 (|has| |#1| (-237)) (|has| |#1| (-374))) (-12 (|has| |#1| (-238)) (|has| |#1| (-374)))) ((-272 |#1|) |has| |#1| (-374)) ((-248) -2760 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-300) -2760 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-317) -2760 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-374) -2760 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-414) |has| |#1| (-360)) ((-379) -2760 (|has| |#1| (-379)) (|has| |#1| (-360))) ((-360) |has| |#1| (-360)) ((-381 |#1| |#2|) . T) ((-421 |#1| |#2|) . T) ((-388 |#1|) . T) ((-423 |#1|) . T) ((-464) -2760 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-568) -2760 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-658 #0#) -2760 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 #0#) -2760 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-660 #1=(-576)) |has| |#1| (-651 (-576))) ((-660 |#1|) . T) ((-660 $) . T) ((-652 #0#) -2760 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-652 |#1|) . T) ((-652 $) -2760 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-651 #1#) |has| |#1| (-651 (-576))) ((-651 |#1|) . T) ((-729 #0#) -2760 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-729 |#1|) . T) ((-729 $) -2760 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-738) . T) ((-911 $ #2=(-1197)) -2760 (-12 (|has| |#1| (-374)) (|has| |#1| (-919 (-1197)))) (-12 (|has| |#1| (-374)) (|has| |#1| (-917 (-1197))))) ((-917 (-1197)) -12 (|has| |#1| (-374)) (|has| |#1| (-917 (-1197)))) ((-919 #2#) -2760 (-12 (|has| |#1| (-374)) (|has| |#1| (-919 (-1197)))) (-12 (|has| |#1| (-374)) (|has| |#1| (-917 (-1197))))) ((-939) -2760 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-1059 (-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) ((-1059 (-576)) |has| |#1| (-1059 (-576))) ((-1059 |#1|) . T) ((-1072 #0#) -2760 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-1072 |#1|) . T) ((-1072 $) . T) ((-1077 #0#) -2760 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-1077 |#1|) . T) ((-1077 $) . T) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1173) |has| |#1| (-360)) ((-1238) . T) ((-1242) -2760 (|has| |#1| (-360)) (|has| |#1| (-374)))) 
+((-3886 (($) 11)) (-1561 (((-3 $ "failed") $) 14)) (-4193 (((-112) $) 10)) (** (($ $ (-940)) NIL) (($ $ (-783)) 20))) 
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+NIL 
+(-10 -8 (-15 -1561 ((-3 |#1| "failed") |#1|)) (-15 ** (|#1| |#1| (-783))) (-15 -4193 ((-112) |#1|)) (-15 -3886 (|#1|)) (-15 ** (|#1| |#1| (-940)))) 
+((-3489 (((-112) $ $) 7)) (-3886 (($) 19 T CONST)) (-1561 (((-3 $ "failed") $) 16)) (-4193 (((-112) $) 18)) (-3699 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3570 (((-876) $) 12)) (-4055 (((-112) $ $) 6)) (-2732 (($) 20 T CONST)) (-2925 (((-112) $ $) 8)) (** (($ $ (-940)) 14) (($ $ (-783)) 17)) (* (($ $ $) 15))) 
 (((-738) (-141)) (T -738)) 
-((-2730 (*1 *1) (-4 *1 (-738))) (-3306 (*1 *1) (-4 *1 (-738))) (-3215 (*1 *2 *1) (-12 (-4 *1 (-738)) (-5 *2 (-112)))) (** (*1 *1 *1 *2) (-12 (-4 *1 (-738)) (-5 *2 (-783)))) (-3451 (*1 *1 *1) (|partial| -4 *1 (-738)))) 
-(-13 (-1133) (-10 -8 (-15 (-2730) ($) -1480) (-15 -3306 ($) -1480) (-15 -3215 ((-112) $)) (-15 ** ($ $ (-783))) (-15 -3451 ((-3 $ "failed") $)))) 
+((-2732 (*1 *1) (-4 *1 (-738))) (-3886 (*1 *1) (-4 *1 (-738))) (-4193 (*1 *2 *1) (-12 (-4 *1 (-738)) (-5 *2 (-112)))) (** (*1 *1 *1 *2) (-12 (-4 *1 (-738)) (-5 *2 (-783)))) (-1561 (*1 *1 *1) (|partial| -4 *1 (-738)))) 
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 (((-102) . T) ((-625 (-876)) . T) ((-1133) . T) ((-1121) . T) ((-1238) . T)) 
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 ((-1828 (((-430 (-1193 |#4|)) (-1193 |#4|)) 30) (((-430 |#4|) |#4|) 26))) 
 (((-753 |#1| |#2| |#3| |#4|) (-10 -7 (-15 -1828 ((-430 |#4|) |#4|)) (-15 -1828 ((-430 (-1193 |#4|)) (-1193 |#4|)))) (-861) (-805) (-13 (-317) (-148)) (-968 |#3| |#2| |#1|)) (T -753)) 
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 (-10 -7 (-15 -1828 ((-430 |#4|) |#4|)) (-15 -1828 ((-430 (-1193 |#4|)) (-1193 |#4|)))) 
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-((-3507 (($ $ (-940)) 17))) 
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-NIL 
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-NIL 
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 NIL 
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 NIL 
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 (((-803) (-141)) (T -803)) 
 NIL 
 (-13 (-807) (-21)) 
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 (((-804) (-141)) (T -804)) 
 NIL 
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 (((-806) (-141)) (T -806)) 
 NIL 
 (-13 (-861) (-25)) 
 (((-25) . T) ((-102) . T) ((-625 (-876)) . T) ((-861) . T) ((-864) . T) ((-1121) . T) ((-1238) . T)) 
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 (((-807) (-141)) (T -807)) 
 NIL 
 (-13 (-804) (-132)) 
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(-783)) NIL (-12 (|has| |#2| (-919 (-1197))) (|has| |#2| (-1070)))) (($ $ (-656 (-1197))) NIL (-12 (|has| |#2| (-919 (-1197))) (|has| |#2| (-1070)))) (($ $ (-1197)) NIL (-12 (|has| |#2| (-919 (-1197))) (|has| |#2| (-1070)))) (($ $ (-1 |#2| |#2|)) NIL (|has| |#2| (-1070))) (($ $ (-1 |#2| |#2|) (-783)) NIL (|has| |#2| (-1070)))) (-2991 (((-112) $ $) NIL (|has| |#2| (-861)))) (-2962 (((-112) $ $) NIL (|has| |#2| (-861)))) (-2923 (((-112) $ $) NIL (|has| |#2| (-102)))) (-2978 (((-112) $ $) NIL (|has| |#2| (-861)))) (-2948 (((-112) $ $) 11 (|has| |#2| (-861)))) (-3056 (($ $ |#2|) NIL (|has| |#2| (-374)))) (-3043 (($ $ $) NIL (|has| |#2| (-21))) (($ $) NIL (|has| |#2| (-21)))) (-3029 (($ $ $) NIL (|has| |#2| (-25)))) (** (($ $ (-783)) NIL (|has| |#2| (-1070))) (($ $ (-940)) NIL (|has| |#2| (-1070)))) (* (($ $ $) NIL (|has| |#2| (-1070))) (($ $ |#2|) NIL (|has| |#2| (-738))) (($ |#2| $) NIL (|has| |#2| (-738))) (($ (-576) $) NIL (|has| |#2| (-21))) (($ (-783) $) NIL (|has| |#2| (-23))) (($ 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 NIL 
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 NIL 
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 NIL 
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 (((-832) (-141)) (T -832)) 
 NIL 
 (-13 (-568) (-860)) 
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 (((-858) (-141)) (T -858)) 
 NIL 
 (-13 (-871) (-738)) 
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 NIL 
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 (((-861) (-141)) (T -861)) 
 NIL 
 (-13 (-1121) (-864)) 
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 (((-862 |#1| |#2|) (-13 (-864) (-502 |#1|)) (-1238) (-1 (-112) |#1| |#1|)) (T -862)) 
 NIL 
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 NIL 
-(-10 -8 (-15 -3124 (|#1| |#1| |#1|)) (-15 -1951 (|#1| |#1| |#1|)) (-15 -2991 ((-112) |#1| |#1|)) (-15 -2978 ((-112) |#1| |#1|)) (-15 -2962 ((-112) |#1| |#1|)) (-15 -2113 ((-112) |#1| |#1|)) (-15 -2923 ((-112) |#1| |#1|))) 
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 NIL 
 (-13 (-866 |#2|) (-628 (-1284 |#1|))) 
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 (((-871) (-141)) (T -871)) 
 NIL 
 (-13 (-861) (-1133)) 
 (((-102) . T) ((-625 (-876)) . T) ((-861) . T) ((-864) . T) ((-1133) . T) ((-1121) . T) ((-1238) . T)) 
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-NIL 
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+NIL 
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 NIL 
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 (((-916 |#1| |#2|) (-141) (-1070) (-1121)) (T -916)) 
 NIL 
 (-13 (-111 |t#1| |t#1|) (-919 |t#2|) (-10 -7 (IF (|has| |t#1| (-174)) (-6 (-729 |t#1|)) |%noBranch|))) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-111 |#1| |#1|) . T) ((-132) . T) ((-625 (-876)) . T) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-660 |#1|) . T) ((-652 |#1|) |has| |#1| (-174)) ((-729 |#1|) |has| |#1| (-174)) ((-911 $ |#2|) . T) ((-919 |#2|) . T) ((-1072 |#1|) . T) ((-1077 |#1|) . T) ((-1121) . T) ((-1238) . T)) 
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 (((-917 |#1|) (-141) (-1121)) (T -917)) 
 NIL 
 (-13 (-1070) (-919 |t#1|)) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-132) . T) ((-628 (-576)) . T) ((-625 (-876)) . T) ((-658 (-576)) . T) ((-658 $) . T) ((-660 $) . T) ((-738) . T) ((-911 $ |#1|) . T) ((-919 |#1|) . T) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1238) . T)) 
-((-2773 (($ $ |#2|) NIL) (($ $ (-656 |#2|)) 10) (($ $ |#2| (-783)) 12) (($ $ (-656 |#2|) (-656 (-783))) 15)) (-2018 (($ $ |#2|) 16) (($ $ (-656 |#2|)) 18) (($ $ |#2| (-783)) 19) (($ $ (-656 |#2|) (-656 (-783))) 21))) 
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+((-2775 (($ $ |#2|) NIL) (($ $ (-656 |#2|)) 10) (($ $ |#2| (-783)) 12) (($ $ (-656 |#2|) (-656 (-783))) 15)) (-2020 (($ $ |#2|) 16) (($ $ (-656 |#2|)) 18) (($ $ |#2| (-783)) 19) (($ $ (-656 |#2|) (-656 (-783))) 21))) 
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 NIL 
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 (((-919 |#1|) (-141) (-1121)) (T -919)) 
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 (((-911 $ |#1|) . T) ((-1238) . T)) 
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 NIL 
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 (((-962 |#1|) (-1001 |#1|) (-1070)) (T -962)) 
 NIL 
 (-1001 |#1|) 
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-NIL 
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+NIL 
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 (((-994 |#1| |#2| |#3|) (-141) (-1070) (-804) (-861)) (T -994)) 
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+(((-21) . T) ((-23) . T) ((-47 |#1| |#2|) . T) ((-25) . T) ((-38 #0=(-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((-38 |#1|) |has| |#1| (-174)) ((-38 $) |has| |#1| (-568)) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-38 (-419 (-576)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2760 (|has| |#1| (-568)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 #0#) |has| |#1| (-38 (-419 (-576)))) ((-628 (-576)) . T) ((-628 |#1|) |has| |#1| (-174)) ((-628 $) |has| |#1| (-568)) ((-625 (-876)) . T) ((-174) -2760 (|has| |#1| (-568)) (|has| |#1| (-174))) ((-300) |has| |#1| (-568)) ((-568) |has| |#1| (-568)) ((-658 #0#) |has| |#1| (-38 (-419 (-576)))) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 #0#) |has| |#1| (-38 (-419 (-576)))) ((-660 |#1|) . T) ((-660 $) . T) ((-652 #0#) |has| |#1| (-38 (-419 (-576)))) ((-652 |#1|) |has| |#1| (-174)) ((-652 $) |has| |#1| (-568)) ((-729 #0#) |has| |#1| (-38 (-419 (-576)))) ((-729 |#1|) |has| |#1| (-174)) ((-729 $) |has| |#1| (-568)) ((-738) . T) ((-1072 #0#) |has| |#1| (-38 (-419 (-576)))) ((-1072 |#1|) . T) ((-1072 $) -2760 (|has| |#1| (-568)) (|has| |#1| (-174))) ((-1077 #0#) |has| |#1| (-38 (-419 (-576)))) ((-1077 |#1|) . T) ((-1077 $) -2760 (|has| |#1| (-568)) (|has| |#1| (-174))) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1238) . T)) 
+((-4316 (((-1115 (-227)) $) 8)) (-4307 (((-1115 (-227)) $) 9)) (-4295 (((-1115 (-227)) $) 10)) (-3739 (((-656 (-656 (-962 (-227)))) $) 11)) (-3570 (((-876) $) 6))) 
 (((-995) (-141)) (T -995)) 
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 (((-625 (-876)) . T)) 
-((-1966 (((-656 |#4|) $) 23)) (-1755 (((-112) $) 55)) (-1781 (((-112) $) 54)) (-1795 (((-2 (|:| |under| $) (|:| -3416 $) (|:| |upper| $)) $ |#4|) 42)) (-3290 (((-112) $) 56)) (-2879 (((-112) $ $) 62)) (-1576 (((-112) $ $) 65)) (-3489 (((-112) $) 60)) (-4356 (((-656 |#5|) (-656 |#5|) $) 98)) (-3234 (((-656 |#5|) (-656 |#5|) $) 95)) (-3599 (((-2 (|:| |rnum| |#2|) (|:| |polnum| |#5|) (|:| |den| |#2|)) |#5| $) 88)) (-1994 (((-656 |#4|) $) 27)) (-1983 (((-112) |#4| $) 34)) (-4352 (((-2 (|:| |num| |#5|) (|:| |den| |#2|)) |#5| $) 81)) (-2907 (($ $ |#4|) 39)) (-4080 (($ $ |#4|) 38)) (-3698 (($ $ |#4|) 40)) (-2923 (((-112) $ $) 46))) 
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 NIL 
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 NIL 
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-NIL 
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 (((-1023) (-141)) (T -1023)) 
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$) NIL (|has| |#1| (-568)))) (-3812 (((-112) $ $) NIL (|has| |#1| (-568)))) (-1884 (((-112) $) NIL (|has| |#1| (-568)))) (-3388 (((-656 (-792 |#1| (-878 |#2|))) (-656 (-792 |#1| (-878 |#2|))) $ (-1 (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|))) (-1 (-112) (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|)))) NIL)) (-2311 (((-656 (-792 |#1| (-878 |#2|))) (-656 (-792 |#1| (-878 |#2|))) $) NIL (|has| |#1| (-568)))) (-4376 (((-656 (-792 |#1| (-878 |#2|))) (-656 (-792 |#1| (-878 |#2|))) $) NIL (|has| |#1| (-568)))) (-1572 (((-3 $ "failed") (-656 (-792 |#1| (-878 |#2|)))) NIL)) (-2860 (($ (-656 (-792 |#1| (-878 |#2|)))) NIL)) (-3593 (((-3 $ "failed") $) NIL)) (-3994 (((-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|)) $) NIL)) (-1415 (($ $) NIL (-12 (|has| $ (-6 -4465)) (|has| (-792 |#1| (-878 |#2|)) (-1121))))) (-3946 (($ (-792 |#1| (-878 |#2|)) $) NIL (-12 (|has| $ (-6 -4465)) (|has| (-792 |#1| (-878 |#2|)) (-1121)))) (($ (-1 (-112) (-792 |#1| (-878 |#2|))) $) NIL (|has| $ (-6 -4465)))) (-3624 (((-2 (|:| |rnum| |#1|) (|:| |polnum| (-792 |#1| (-878 |#2|))) (|:| |den| |#1|)) (-792 |#1| (-878 |#2|)) $) NIL (|has| |#1| (-568)))) (-3439 (((-112) (-792 |#1| (-878 |#2|)) $ (-1 (-112) (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|)))) NIL)) (-2737 (((-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|)) $) NIL)) (-3686 (((-792 |#1| (-878 |#2|)) (-1 (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|))) $ (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|))) NIL (-12 (|has| $ (-6 -4465)) (|has| (-792 |#1| (-878 |#2|)) (-1121)))) (((-792 |#1| (-878 |#2|)) (-1 (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|))) $ (-792 |#1| (-878 |#2|))) NIL (|has| $ (-6 -4465))) (((-792 |#1| (-878 |#2|)) (-1 (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|))) $) NIL (|has| $ (-6 -4465))) (((-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|)) $ (-1 (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|))) (-1 (-112) (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|)))) NIL)) (-4405 (((-2 (|:| -1958 (-656 (-792 |#1| (-878 |#2|)))) (|:| -3257 (-656 (-792 |#1| (-878 |#2|))))) $) NIL)) (-4148 (((-112) (-792 |#1| (-878 |#2|)) $) NIL)) (-3773 (((-112) (-792 |#1| (-878 |#2|)) $) NIL)) (-4441 (((-112) (-792 |#1| (-878 |#2|)) $) NIL) (((-112) $) NIL)) (-3966 (((-656 (-792 |#1| (-878 |#2|))) $) NIL (|has| $ (-6 -4465)))) (-3186 (((-112) (-792 |#1| (-878 |#2|)) $) NIL) (((-112) $) NIL)) (-2620 (((-878 |#2|) $) NIL)) (-3870 (((-112) $ (-783)) NIL)) (-2014 (((-656 (-792 |#1| (-878 |#2|))) $) NIL (|has| $ (-6 -4465)))) (-1612 (((-112) (-792 |#1| (-878 |#2|)) $) NIL (-12 (|has| $ (-6 -4465)) (|has| (-792 |#1| (-878 |#2|)) (-1121))))) (-4323 (($ (-1 (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|))) $) NIL (|has| $ (-6 -4466)))) (-4117 (($ (-1 (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|))) $) NIL)) (-2234 (((-656 (-878 |#2|)) $) NIL)) (-2106 (((-112) (-878 |#2|) $) NIL)) (-1330 (((-112) $ (-783)) NIL)) (-3699 (((-1179) $) NIL)) (-2166 (((-3 (-792 |#1| (-878 |#2|)) (-656 $)) (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|)) $) NIL)) (-1540 (((-656 (-2 (|:| |val| (-792 |#1| (-878 |#2|))) (|:| -3988 $))) (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|)) $) NIL)) (-3969 (((-3 (-792 |#1| (-878 |#2|)) "failed") $) NIL)) (-1471 (((-656 $) (-792 |#1| (-878 |#2|)) $) NIL)) (-3179 (((-3 (-112) (-656 $)) (-792 |#1| (-878 |#2|)) $) NIL)) (-3787 (((-656 (-2 (|:| |val| (-112)) (|:| -3988 $))) (-792 |#1| (-878 |#2|)) $) NIL) (((-112) (-792 |#1| (-878 |#2|)) $) NIL)) (-3285 (((-656 $) (-792 |#1| (-878 |#2|)) $) NIL) (((-656 $) (-656 (-792 |#1| (-878 |#2|))) $) NIL) (((-656 $) (-656 (-792 |#1| (-878 |#2|))) (-656 $)) NIL) (((-656 $) (-792 |#1| (-878 |#2|)) (-656 $)) NIL)) (-2008 (($ (-792 |#1| (-878 |#2|)) $) NIL) (($ (-656 (-792 |#1| (-878 |#2|))) $) NIL)) (-4275 (((-656 (-792 |#1| (-878 |#2|))) $) NIL)) (-1603 (((-112) (-792 |#1| (-878 |#2|)) $) NIL) (((-112) $) NIL)) (-3909 (((-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|)) $) NIL)) (-1438 (((-112) $ $) NIL)) (-2280 (((-2 (|:| |num| (-792 |#1| (-878 |#2|))) (|:| |den| |#1|)) (-792 |#1| (-878 |#2|)) $) NIL (|has| |#1| (-568)))) (-3579 (((-112) (-792 |#1| (-878 |#2|)) $) NIL) (((-112) $) NIL)) (-1522 (((-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|)) $) NIL)) (-1450 (((-1141) $) NIL)) (-3581 (((-3 (-792 |#1| (-878 |#2|)) "failed") $) NIL)) (-1541 (((-3 (-792 |#1| (-878 |#2|)) "failed") (-1 (-112) (-792 |#1| (-878 |#2|))) $) NIL)) (-3384 (((-3 $ "failed") $ (-792 |#1| (-878 |#2|))) NIL)) (-1749 (($ $ (-792 |#1| (-878 |#2|))) NIL) (((-656 $) (-792 |#1| (-878 |#2|)) $) NIL) (((-656 $) (-792 |#1| (-878 |#2|)) (-656 $)) NIL) (((-656 $) (-656 (-792 |#1| (-878 |#2|))) $) NIL) (((-656 $) (-656 (-792 |#1| (-878 |#2|))) (-656 $)) NIL)) (-4320 (((-112) (-1 (-112) (-792 |#1| (-878 |#2|))) $) NIL (|has| $ (-6 -4465)))) (-3284 (($ $ (-656 (-792 |#1| (-878 |#2|))) (-656 (-792 |#1| (-878 |#2|)))) NIL (-12 (|has| (-792 |#1| (-878 |#2|)) (-319 (-792 |#1| (-878 |#2|)))) (|has| (-792 |#1| (-878 |#2|)) (-1121)))) (($ $ (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|))) NIL (-12 (|has| (-792 |#1| (-878 |#2|)) (-319 (-792 |#1| (-878 |#2|)))) (|has| (-792 |#1| (-878 |#2|)) (-1121)))) (($ $ (-304 (-792 |#1| (-878 |#2|)))) NIL (-12 (|has| (-792 |#1| (-878 |#2|)) (-319 (-792 |#1| (-878 |#2|)))) (|has| (-792 |#1| (-878 |#2|)) (-1121)))) (($ $ (-656 (-304 (-792 |#1| (-878 |#2|))))) NIL (-12 (|has| (-792 |#1| (-878 |#2|)) (-319 (-792 |#1| (-878 |#2|)))) (|has| (-792 |#1| (-878 |#2|)) (-1121))))) (-4040 (((-112) $ $) NIL)) (-3973 (((-112) $) NIL)) (-4225 (($) NIL)) (-3634 (((-783) $) NIL)) (-1460 (((-783) (-792 |#1| (-878 |#2|)) $) NIL (-12 (|has| $ (-6 -4465)) (|has| (-792 |#1| (-878 |#2|)) (-1121)))) (((-783) (-1 (-112) (-792 |#1| (-878 |#2|))) $) NIL (|has| $ (-6 -4465)))) (-1870 (($ $) NIL)) (-4172 (((-548) $) NIL (|has| (-792 |#1| (-878 |#2|)) (-626 (-548))))) (-3582 (($ (-656 (-792 |#1| (-878 |#2|)))) NIL)) (-3118 (($ $ (-878 |#2|)) NIL)) (-2637 (($ $ (-878 |#2|)) NIL)) (-1584 (($ $) NIL)) (-3317 (($ $ (-878 |#2|)) NIL)) (-3570 (((-876) $) NIL) (((-656 (-792 |#1| (-878 |#2|))) $) NIL)) (-3891 (((-783) $) NIL (|has| (-878 |#2|) (-379)))) (-4055 (((-112) $ $) NIL)) (-3765 (((-3 (-2 (|:| |bas| $) (|:| -1419 (-656 (-792 |#1| (-878 |#2|))))) "failed") (-656 (-792 |#1| (-878 |#2|))) (-1 (-112) (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|)))) NIL) (((-3 (-2 (|:| |bas| $) (|:| -1419 (-656 (-792 |#1| (-878 |#2|))))) "failed") (-656 (-792 |#1| (-878 |#2|))) (-1 (-112) (-792 |#1| (-878 |#2|))) (-1 (-112) (-792 |#1| (-878 |#2|)) (-792 |#1| (-878 |#2|)))) NIL)) (-2833 (((-112) $ (-1 (-112) (-792 |#1| (-878 |#2|)) (-656 (-792 |#1| (-878 |#2|))))) NIL)) (-3298 (((-656 $) (-792 |#1| (-878 |#2|)) $) NIL) (((-656 $) (-792 |#1| (-878 |#2|)) (-656 $)) NIL) (((-656 $) (-656 (-792 |#1| (-878 |#2|))) $) NIL) (((-656 $) (-656 (-792 |#1| (-878 |#2|))) (-656 $)) NIL)) (-3321 (((-112) (-1 (-112) (-792 |#1| (-878 |#2|))) $) NIL (|has| $ (-6 -4465)))) (-1583 (((-656 (-878 |#2|)) $) NIL)) (-2392 (((-112) (-792 |#1| (-878 |#2|)) $) NIL)) (-3419 (((-112) (-878 |#2|) $) NIL)) (-2925 (((-112) $ $) NIL)) (-3503 (((-783) $) NIL (|has| $ (-6 -4465))))) 
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+((-3603 (*1 *2 *3 *4 *4) (-12 (-5 *3 (-656 (-792 *5 (-878 *6)))) (-5 *4 (-112)) (-4 *5 (-464)) (-14 *6 (-656 (-1197))) (-5 *2 (-656 (-1067 *5 *6))) (-5 *1 (-1067 *5 *6))))) 
+(-13 (-1092 |#1| (-543 (-878 |#2|)) (-878 |#2|) (-792 |#1| (-878 |#2|))) (-10 -8 (-15 -3603 ((-656 $) (-656 (-792 |#1| (-878 |#2|))) (-112) (-112))))) 
+((-4334 (((-1 (-576)) (-1115 (-576))) 32)) (-1474 (((-576) (-576) (-576) (-576) (-576)) 29)) (-3544 (((-1 (-576)) |RationalNumber|) NIL)) (-2207 (((-1 (-576)) |RationalNumber|) NIL)) (-2979 (((-1 (-576)) (-576) |RationalNumber|) NIL))) 
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+((-1474 (*1 *2 *2 *2 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-1068)))) (-2207 (*1 *2 *3) (-12 (-5 *3 |RationalNumber|) (-5 *2 (-1 (-576))) (-5 *1 (-1068)))) (-3544 (*1 *2 *3) (-12 (-5 *3 |RationalNumber|) (-5 *2 (-1 (-576))) (-5 *1 (-1068)))) (-2979 (*1 *2 *3 *4) (-12 (-5 *4 |RationalNumber|) (-5 *2 (-1 (-576))) (-5 *1 (-1068)) (-5 *3 (-576)))) (-4334 (*1 *2 *3) (-12 (-5 *3 (-1115 (-576))) (-5 *2 (-1 (-576))) (-5 *1 (-1068))))) 
+(-10 -7 (-15 -4334 ((-1 (-576)) (-1115 (-576)))) (-15 -2979 ((-1 (-576)) (-576) |RationalNumber|)) (-15 -3544 ((-1 (-576)) |RationalNumber|)) (-15 -2207 ((-1 (-576)) |RationalNumber|)) (-15 -1474 ((-576) (-576) (-576) (-576) (-576)))) 
+((-3570 (((-876) $) NIL) (($ (-576)) 10))) 
+(((-1069 |#1|) (-10 -8 (-15 -3570 (|#1| (-576))) (-15 -3570 ((-876) |#1|))) (-1070)) (T -1069)) 
+NIL 
+(-10 -8 (-15 -3570 (|#1| (-576))) (-15 -3570 ((-876) |#1|))) 
+((-3489 (((-112) $ $) 7)) (-4308 (((-112) $) 17)) (-4367 (((-3 $ "failed") $ $) 20)) (-3886 (($) 18 T CONST)) (-1561 (((-3 $ "failed") $) 37)) (-4193 (((-112) $) 35)) (-3699 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3570 (((-876) $) 12) (($ (-576)) 33)) (-3996 (((-783)) 32 T CONST)) (-4055 (((-112) $ $) 6)) (-2721 (($) 19 T CONST)) (-2732 (($) 34 T CONST)) (-2925 (((-112) $ $) 8)) (-3044 (($ $) 23) (($ $ $) 22)) (-3030 (($ $ $) 15)) (** (($ $ (-940)) 28) (($ $ (-783)) 36)) (* (($ (-940) $) 14) (($ (-783) $) 16) (($ (-576) $) 24) (($ $ $) 27))) 
 (((-1070) (-141)) (T -1070)) 
-((-1778 (*1 *2) (-12 (-4 *1 (-1070)) (-5 *2 (-783))))) 
-(-13 (-1079) (-738) (-660 $) (-628 (-576)) (-10 -7 (-15 -1778 ((-783)) -1480) (-6 -4461))) 
+((-3996 (*1 *2) (-12 (-4 *1 (-1070)) (-5 *2 (-783))))) 
+(-13 (-1079) (-738) (-660 $) (-628 (-576)) (-10 -7 (-15 -3996 ((-783)) -1480) (-6 -4462))) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-132) . T) ((-628 (-576)) . T) ((-625 (-876)) . T) ((-658 (-576)) . T) ((-658 $) . T) ((-660 $) . T) ((-738) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1238) . T)) 
-((-4248 (((-419 (-971 |#2|)) (-656 |#2|) (-656 |#2|) (-783) (-783)) 54))) 
-(((-1071 |#1| |#2|) (-10 -7 (-15 -4248 ((-419 (-971 |#2|)) (-656 |#2|) (-656 |#2|) (-783) (-783)))) (-1197) (-374)) (T -1071)) 
-((-4248 (*1 *2 *3 *3 *4 *4) (-12 (-5 *3 (-656 *6)) (-5 *4 (-783)) (-4 *6 (-374)) (-5 *2 (-419 (-971 *6))) (-5 *1 (-1071 *5 *6)) (-14 *5 (-1197))))) 
-(-10 -7 (-15 -4248 ((-419 (-971 |#2|)) (-656 |#2|) (-656 |#2|) (-783) (-783)))) 
-((-3488 (((-112) $ $) 7)) (-1413 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3569 (((-876) $) 12)) (-2113 (((-112) $ $) 6)) (-2923 (((-112) $ $) 8)) (* (($ $ |#1|) 14))) 
+((-3834 (((-419 (-971 |#2|)) (-656 |#2|) (-656 |#2|) (-783) (-783)) 54))) 
+(((-1071 |#1| |#2|) (-10 -7 (-15 -3834 ((-419 (-971 |#2|)) (-656 |#2|) (-656 |#2|) (-783) (-783)))) (-1197) (-374)) (T -1071)) 
+((-3834 (*1 *2 *3 *3 *4 *4) (-12 (-5 *3 (-656 *6)) (-5 *4 (-783)) (-4 *6 (-374)) (-5 *2 (-419 (-971 *6))) (-5 *1 (-1071 *5 *6)) (-14 *5 (-1197))))) 
+(-10 -7 (-15 -3834 ((-419 (-971 |#2|)) (-656 |#2|) (-656 |#2|) (-783) (-783)))) 
+((-3489 (((-112) $ $) 7)) (-3699 (((-1179) $) 10)) (-1450 (((-1141) $) 11)) (-3570 (((-876) $) 12)) (-4055 (((-112) $ $) 6)) (-2925 (((-112) $ $) 8)) (* (($ $ |#1|) 14))) 
 (((-1072 |#1|) (-141) (-1133)) (T -1072)) 
 ((* (*1 *1 *1 *2) (-12 (-4 *1 (-1072 *2)) (-4 *2 (-1133))))) 
 (-13 (-1121) (-10 -8 (-15 * ($ $ |t#1|)))) 
 (((-102) . T) ((-625 (-876)) . T) ((-1121) . T) ((-1238) . T)) 
-((-3400 (((-112) $) 38)) (-4006 (((-112) $) 17)) (-1689 (((-783) $) 13)) (-1699 (((-783) $) 14)) (-2106 (((-112) $) 30)) (-1893 (((-112) $) 40))) 
-(((-1073 |#1| |#2| |#3| |#4| |#5| |#6|) (-10 -8 (-15 -1699 ((-783) |#1|)) (-15 -1689 ((-783) |#1|)) (-15 -1893 ((-112) |#1|)) (-15 -3400 ((-112) |#1|)) (-15 -2106 ((-112) |#1|)) (-15 -4006 ((-112) |#1|))) (-1074 |#2| |#3| |#4| |#5| |#6|) (-783) (-783) (-1070) (-243 |#3| |#4|) (-243 |#2| |#4|)) (T -1073)) 
+((-2283 (((-112) $) 38)) (-3240 (((-112) $) 17)) (-1689 (((-783) $) 13)) (-1699 (((-783) $) 14)) (-4002 (((-112) $) 30)) (-3830 (((-112) $) 40))) 
+(((-1073 |#1| |#2| |#3| |#4| |#5| |#6|) (-10 -8 (-15 -1699 ((-783) |#1|)) (-15 -1689 ((-783) |#1|)) (-15 -3830 ((-112) |#1|)) (-15 -2283 ((-112) |#1|)) (-15 -4002 ((-112) |#1|)) (-15 -3240 ((-112) |#1|))) (-1074 |#2| |#3| |#4| |#5| |#6|) (-783) (-783) (-1070) (-243 |#3| |#4|) (-243 |#2| |#4|)) (T -1073)) 
 NIL 
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 (((-1077 |#1|) (-141) (-1079)) (T -1077)) 
 NIL 
 (-13 (-21) (-1072 |t#1|)) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-132) . T) ((-625 (-876)) . T) ((-658 (-576)) . T) ((-1072 |#1|) . T) ((-1121) . T) ((-1238) . T)) 
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 (((-1079) (-141)) (T -1079)) 
 NIL 
 (-13 (-21) (-1133)) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-132) . T) ((-625 (-876)) . T) ((-658 (-576)) . T) ((-1133) . T) ((-1121) . T) ((-1238) . T)) 
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 (((-1089 |#1| |#2|) (-141) (-13 (-860) (-374)) (-1264 |t#1|)) (T -1089)) 
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 (((-102) . T) ((-625 (-876)) . T) ((-1121) . T) ((-1238) . T)) 
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-NIL 
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 (((-1101 |#1| |#2| |#3|) (-736 |#1| |#2|) (-174) (-1264 |#1|) |#2|) (T -1101)) 
 NIL 
 (-736 |#1| |#2|) 
@@ -4528,367 +4528,367 @@ NIL
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 (((-1104) (-141)) (T -1104)) 
 NIL 
 (-13 (-93)) 
 (((-93) . T) ((-102) . T) ((-628 #0=(-1202)) . T) ((-625 (-876)) . T) ((-625 #0#) . T) ((-502 #0#) . T) ((-1121) . T) ((-1238) . T)) 
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 (((-630 |#1|) . T)) 
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 NIL 
 (-13 (-1114 |#1|) (-10 -7 (IF (|has| |#1| (-1121)) (-6 (-1121)) |%noBranch|) (IF (|has| |#1| (-860)) (-6 (-1116 |#1| (-656 |#1|))) |%noBranch|))) 
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 (((-1116 |#1| |#2|) (-141) (-860) (-1170 |t#1|)) (T -1116)) 
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 (((-630 |#1|) . T) ((-1114 |#1|) . T)) 
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-NIL 
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+NIL 
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 (((-1119 |#1|) (-141) (-1121)) (T -1119)) 
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 (((-34) . T) ((-102) . T) ((-625 (-876)) . T) ((-152 |#1|) . T) ((-626 (-548)) |has| |#1| (-626 (-548))) ((-319 |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))) ((-501 |#1|) . T) ((-526 |#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))) ((-1121) . T) ((-1238) . T)) 
-((-1413 (((-1179) $) 10)) (-1450 (((-1141) $) 8))) 
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 NIL 
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 (((-1121) (-141)) (T -1121)) 
-((-1450 (*1 *2 *1) (-12 (-4 *1 (-1121)) (-5 *2 (-1141)))) (-1413 (*1 *2 *1) (-12 (-4 *1 (-1121)) (-5 *2 (-1179))))) 
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 (((-102) . T) ((-625 (-876)) . T) ((-1238) . T)) 
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 NIL 
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 (((-1125) (-1124 (-1179) (-1197) (-576) (-227) (-876))) (T -1125)) 
 NIL 
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 NIL 
 (-1124 |#1| |#2| |#3| |#4| |#5|) 
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 NIL 
 (-13 (-1130 |t#1| |t#2| |t#3| |t#4|) (-796 |t#1| |t#2| |t#3| |t#4|)) 
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 (((-1154 |#1|) (-1155 |#1|) (-1070)) (T -1154)) 
 NIL 
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 NIL 
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 (((-1205) (-1121)) (T -1205)) 
 NIL 
 (-1121) 
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-NIL 
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 (((-1237) (-1104)) (T -1237)) 
 NIL 
 (-1104) 
 NIL 
 (((-1238) (-141)) (T -1238)) 
 NIL 
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T) ((-660 |#2|) |has| |#1| (-374)) ((-660 $) . T) ((-652 #1#) -2758 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-652 |#1|) |has| |#1| (-174)) ((-652 |#2|) |has| |#1| (-374)) ((-652 $) -2758 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-651 #3#) -12 (|has| |#1| (-374)) (|has| |#2| (-651 (-576)))) ((-651 |#2|) |has| |#1| (-374)) ((-729 #1#) -2758 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-729 |#1|) |has| |#1| (-174)) ((-729 |#2|) |has| |#1| (-374)) ((-729 $) -2758 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-738) . 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T) ((-939) |has| |#1| (-374)) ((-1013 |#2|) |has| |#1| (-374)) ((-1023) |has| |#1| (-38 (-419 (-576)))) ((-1043) -12 (|has| |#1| (-374)) (|has| |#2| (-1043))) ((-1059 (-419 (-576))) -12 (|has| |#1| (-374)) (|has| |#2| (-1059 (-576)))) ((-1059 (-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-1059 (-576)))) ((-1059 #2#) -12 (|has| |#1| (-374)) (|has| |#2| (-1059 (-1197)))) ((-1059 |#2|) . T) ((-1072 #1#) -2758 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-1072 |#1|) . T) ((-1072 |#2|) |has| |#1| (-374)) ((-1072 $) -2758 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1077 #1#) -2758 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-1077 |#1|) . T) ((-1077 |#2|) |has| |#1| (-374)) ((-1077 $) -2758 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1173) -12 (|has| |#1| (-374)) (|has| |#2| (-1173))) ((-1223) |has| |#1| (-38 (-419 (-576)))) ((-1226) |has| |#1| (-38 (-419 (-576)))) ((-1238) . 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T) ((-628 $) -2760 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-625 (-876)) . T) ((-174) -2760 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-626 (-227)) -12 (|has| |#1| (-374)) (|has| |#2| (-1043))) ((-626 (-390)) -12 (|has| |#1| (-374)) (|has| |#2| (-1043))) ((-626 (-548)) -12 (|has| |#1| (-374)) (|has| |#2| (-626 (-548)))) ((-626 (-907 (-390))) -12 (|has| |#1| (-374)) (|has| |#2| (-626 (-907 (-390))))) ((-626 (-907 (-576))) -12 (|has| |#1| (-374)) (|has| |#2| (-626 (-907 (-576))))) ((-234 $) -2760 (-12 (|has| |#1| (-374)) (|has| |#2| (-237))) (-12 (|has| |#1| (-374)) (|has| |#2| (-238))) (|has| |#1| (-15 * (|#1| (-576) |#1|)))) ((-232 |#2|) |has| |#1| (-374)) ((-238) -2760 (-12 (|has| |#1| (-374)) (|has| |#2| (-238))) (|has| |#1| (-15 * (|#1| (-576) |#1|)))) ((-237) -2760 (-12 (|has| |#1| (-374)) (|has| |#2| (-237))) (-12 (|has| |#1| (-374)) (|has| |#2| (-238))) (|has| |#1| (-15 * (|#1| (-576) |#1|)))) ((-272 |#2|) |has| |#1| (-374)) ((-248) |has| |#1| (-374)) ((-294) |has| |#1| (-38 (-419 (-576)))) ((-296 #0# |#1|) . T) ((-296 |#2| $) -12 (|has| |#1| (-374)) (|has| |#2| (-296 |#2| |#2|))) ((-296 $ $) |has| (-576) (-1133)) ((-300) -2760 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-317) |has| |#1| (-374)) ((-319 |#2|) -12 (|has| |#1| (-374)) (|has| |#2| (-319 |#2|))) ((-374) |has| |#1| (-374)) ((-349 |#2|) |has| |#1| (-374)) ((-388 |#2|) |has| |#1| (-374)) ((-412 |#2|) |has| |#1| (-374)) ((-464) |has| |#1| (-374)) ((-505) |has| |#1| (-38 (-419 (-576)))) ((-526 (-1197) |#2|) -12 (|has| |#1| (-374)) (|has| |#2| (-526 (-1197) |#2|))) ((-526 |#2| |#2|) -12 (|has| |#1| (-374)) (|has| |#2| (-319 |#2|))) ((-568) -2760 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-658 #1#) -2760 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 |#2|) |has| |#1| (-374)) ((-658 $) . T) ((-660 #1#) -2760 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-660 #3=(-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-651 (-576)))) ((-660 |#1|) . T) ((-660 |#2|) |has| |#1| (-374)) ((-660 $) . T) ((-652 #1#) -2760 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-652 |#1|) |has| |#1| (-174)) ((-652 |#2|) |has| |#1| (-374)) ((-652 $) -2760 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-651 #3#) -12 (|has| |#1| (-374)) (|has| |#2| (-651 (-576)))) ((-651 |#2|) |has| |#1| (-374)) ((-729 #1#) -2760 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-729 |#1|) |has| |#1| (-174)) ((-729 |#2|) |has| |#1| (-374)) ((-729 $) -2760 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-738) . T) ((-803) -12 (|has| |#1| (-374)) (|has| |#2| (-832))) ((-804) -12 (|has| |#1| (-374)) (|has| |#2| (-832))) ((-806) -12 (|has| |#1| (-374)) (|has| |#2| (-832))) ((-807) -12 (|has| |#1| (-374)) (|has| |#2| (-832))) ((-832) -12 (|has| |#1| (-374)) (|has| |#2| (-832))) ((-860) -12 (|has| |#1| (-374)) (|has| |#2| (-832))) ((-861) -2760 (-12 (|has| |#1| (-374)) (|has| |#2| (-861))) (-12 (|has| |#1| (-374)) (|has| |#2| (-832)))) ((-864) -2760 (-12 (|has| |#1| (-374)) (|has| |#2| (-861))) (-12 (|has| |#1| (-374)) (|has| |#2| (-832)))) ((-911 $ #4=(-1197)) -2760 (-12 (|has| |#1| (-374)) (|has| |#2| (-919 (-1197)))) (-12 (|has| |#1| (-374)) (|has| |#2| (-917 (-1197)))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197))))) ((-917 (-1197)) -2760 (-12 (|has| |#1| (-374)) (|has| |#2| (-917 (-1197)))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197))))) ((-919 #4#) -2760 (-12 (|has| |#1| (-374)) (|has| |#2| (-919 (-1197)))) (-12 (|has| |#1| (-374)) (|has| |#2| (-917 (-1197)))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197))))) ((-901 (-390)) -12 (|has| |#1| (-374)) (|has| |#2| (-901 (-390)))) ((-901 (-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-901 (-576)))) ((-899 |#2|) |has| |#1| (-374)) ((-928) -12 (|has| |#1| (-374)) (|has| |#2| (-928))) ((-994 |#1| #0# (-1103)) . T) ((-939) |has| |#1| (-374)) ((-1013 |#2|) |has| |#1| (-374)) ((-1023) |has| |#1| (-38 (-419 (-576)))) ((-1043) -12 (|has| |#1| (-374)) (|has| |#2| (-1043))) ((-1059 (-419 (-576))) -12 (|has| |#1| (-374)) (|has| |#2| (-1059 (-576)))) ((-1059 (-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-1059 (-576)))) ((-1059 #2#) -12 (|has| |#1| (-374)) (|has| |#2| (-1059 (-1197)))) ((-1059 |#2|) . T) ((-1072 #1#) -2760 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-1072 |#1|) . T) ((-1072 |#2|) |has| |#1| (-374)) ((-1072 $) -2760 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1077 #1#) -2760 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-1077 |#1|) . T) ((-1077 |#2|) |has| |#1| (-374)) ((-1077 $) -2760 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1173) -12 (|has| |#1| (-374)) (|has| |#2| (-1173))) ((-1223) |has| |#1| (-38 (-419 (-576)))) ((-1226) |has| |#1| (-38 (-419 (-576)))) ((-1238) . T) ((-1242) |has| |#1| (-374)) ((-1248 |#1|) . T) ((-1266 |#1| #0#) . T)) 
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-(((-21) . T) ((-23) . T) ((-47 |#1| #0=(-783)) . T) ((-25) . T) ((-38 #1=(-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((-38 |#1|) |has| |#1| (-174)) ((-38 $) -2758 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-102) . T) ((-111 #1# #1#) |has| |#1| (-38 (-419 (-576)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2758 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 #1#) -2758 (|has| |#1| (-1059 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576))))) ((-628 (-576)) . T) ((-628 #2=(-1103)) . T) ((-628 |#1|) . T) ((-628 $) -2758 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-625 (-876)) . T) ((-174) -2758 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-626 (-548)) -12 (|has| (-1103) (-626 (-548))) (|has| |#1| (-626 (-548)))) ((-626 (-907 (-390))) -12 (|has| (-1103) (-626 (-907 (-390)))) (|has| |#1| (-626 (-907 (-390))))) ((-626 (-907 (-576))) -12 (|has| (-1103) (-626 (-907 (-576)))) (|has| |#1| (-626 (-907 (-576))))) ((-234 $) . T) ((-232 |#1|) . T) ((-238) . T) ((-237) . T) ((-272 |#1|) . T) ((-296 (-419 $) (-419 $)) |has| |#1| (-568)) ((-296 |#1| |#1|) . T) ((-296 $ $) . T) ((-300) -2758 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-317) |has| |#1| (-374)) ((-319 $) . T) ((-336 |#1| #0#) . T) ((-388 |#1|) . T) ((-423 |#1|) . T) ((-464) -2758 (|has| |#1| (-928)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-526 #2# |#1|) . T) ((-526 #2# $) . T) ((-526 $ $) . T) ((-568) -2758 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-658 #1#) |has| |#1| (-38 (-419 (-576)))) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 #1#) |has| |#1| (-38 (-419 (-576)))) ((-660 #3=(-576)) |has| |#1| (-651 (-576))) ((-660 |#1|) . T) ((-660 $) . T) ((-652 #1#) |has| |#1| (-38 (-419 (-576)))) ((-652 |#1|) |has| |#1| (-174)) ((-652 $) -2758 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-651 #3#) |has| |#1| (-651 (-576))) ((-651 |#1|) . T) ((-729 #1#) |has| |#1| (-38 (-419 (-576)))) ((-729 |#1|) |has| |#1| (-174)) ((-729 $) -2758 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-738) . T) ((-911 $ #2#) . T) ((-911 $ #4=(-1197)) -2758 (|has| |#1| (-919 (-1197))) (|has| |#1| (-917 (-1197)))) ((-917 #2#) . T) ((-917 (-1197)) |has| |#1| (-917 (-1197))) ((-919 #2#) . T) ((-919 #4#) -2758 (|has| |#1| (-919 (-1197))) (|has| |#1| (-917 (-1197)))) ((-901 (-390)) -12 (|has| (-1103) (-901 (-390))) (|has| |#1| (-901 (-390)))) ((-901 (-576)) -12 (|has| (-1103) (-901 (-576))) (|has| |#1| (-901 (-576)))) ((-968 |#1| #0# #2#) . T) ((-928) |has| |#1| (-928)) ((-939) |has| |#1| (-374)) ((-1059 (-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) ((-1059 (-576)) |has| |#1| (-1059 (-576))) ((-1059 #2#) . T) ((-1059 |#1|) . T) ((-1072 #1#) |has| |#1| (-38 (-419 (-576)))) ((-1072 |#1|) . T) ((-1072 $) -2758 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1077 #1#) |has| |#1| (-38 (-419 (-576)))) ((-1077 |#1|) . T) ((-1077 $) -2758 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1173) |has| |#1| (-1173)) ((-1238) . T) ((-1242) |has| |#1| (-928))) 
-((-1966 (((-656 (-1103)) $) 34)) (-2112 (($ $) 31)) (-1945 (($ |#2| |#3|) NIL) (($ $ (-1103) |#3|) 28) (($ $ (-656 (-1103)) (-656 |#3|)) 27)) (-2079 (($ $) 14)) (-2089 ((|#2| $) 12)) (-3600 ((|#3| $) 10))) 
-(((-1265 |#1| |#2| |#3|) (-10 -8 (-15 -1966 ((-656 (-1103)) |#1|)) (-15 -1945 (|#1| |#1| (-656 (-1103)) (-656 |#3|))) (-15 -1945 (|#1| |#1| (-1103) |#3|)) (-15 -2112 (|#1| |#1|)) (-15 -1945 (|#1| |#2| |#3|)) (-15 -3600 (|#3| |#1|)) (-15 -2079 (|#1| |#1|)) (-15 -2089 (|#2| |#1|))) (-1266 |#2| |#3|) (-1070) (-804)) (T -1265)) 
-NIL 
-(-10 -8 (-15 -1966 ((-656 (-1103)) |#1|)) (-15 -1945 (|#1| |#1| (-656 (-1103)) (-656 |#3|))) (-15 -1945 (|#1| |#1| (-1103) |#3|)) (-15 -2112 (|#1| |#1|)) (-15 -1945 (|#1| |#2| |#3|)) (-15 -3600 (|#3| |#1|)) (-15 -2079 (|#1| |#1|)) (-15 -2089 (|#2| |#1|))) 
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+(((-21) . T) ((-23) . T) ((-47 |#1| #0=(-783)) . T) ((-25) . T) ((-38 #1=(-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((-38 |#1|) |has| |#1| (-174)) ((-38 $) -2760 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-102) . T) ((-111 #1# #1#) |has| |#1| (-38 (-419 (-576)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2760 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 #1#) -2760 (|has| |#1| (-1059 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576))))) ((-628 (-576)) . T) ((-628 #2=(-1103)) . T) ((-628 |#1|) . T) ((-628 $) -2760 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-625 (-876)) . T) ((-174) -2760 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-626 (-548)) -12 (|has| (-1103) (-626 (-548))) (|has| |#1| (-626 (-548)))) ((-626 (-907 (-390))) -12 (|has| (-1103) (-626 (-907 (-390)))) (|has| |#1| (-626 (-907 (-390))))) ((-626 (-907 (-576))) -12 (|has| (-1103) (-626 (-907 (-576)))) (|has| |#1| (-626 (-907 (-576))))) ((-234 $) . T) ((-232 |#1|) . T) ((-238) . T) ((-237) . T) ((-272 |#1|) . T) ((-296 (-419 $) (-419 $)) |has| |#1| (-568)) ((-296 |#1| |#1|) . T) ((-296 $ $) . T) ((-300) -2760 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-317) |has| |#1| (-374)) ((-319 $) . T) ((-336 |#1| #0#) . T) ((-388 |#1|) . T) ((-423 |#1|) . T) ((-464) -2760 (|has| |#1| (-928)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-526 #2# |#1|) . T) ((-526 #2# $) . T) ((-526 $ $) . T) ((-568) -2760 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-658 #1#) |has| |#1| (-38 (-419 (-576)))) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 #1#) |has| |#1| (-38 (-419 (-576)))) ((-660 #3=(-576)) |has| |#1| (-651 (-576))) ((-660 |#1|) . T) ((-660 $) . T) ((-652 #1#) |has| |#1| (-38 (-419 (-576)))) ((-652 |#1|) |has| |#1| (-174)) ((-652 $) -2760 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-651 #3#) |has| |#1| (-651 (-576))) ((-651 |#1|) . T) ((-729 #1#) |has| |#1| (-38 (-419 (-576)))) ((-729 |#1|) |has| |#1| (-174)) ((-729 $) -2760 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-738) . T) ((-911 $ #2#) . T) ((-911 $ #4=(-1197)) -2760 (|has| |#1| (-919 (-1197))) (|has| |#1| (-917 (-1197)))) ((-917 #2#) . T) ((-917 (-1197)) |has| |#1| (-917 (-1197))) ((-919 #2#) . T) ((-919 #4#) -2760 (|has| |#1| (-919 (-1197))) (|has| |#1| (-917 (-1197)))) ((-901 (-390)) -12 (|has| (-1103) (-901 (-390))) (|has| |#1| (-901 (-390)))) ((-901 (-576)) -12 (|has| (-1103) (-901 (-576))) (|has| |#1| (-901 (-576)))) ((-968 |#1| #0# #2#) . T) ((-928) |has| |#1| (-928)) ((-939) |has| |#1| (-374)) ((-1059 (-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) ((-1059 (-576)) |has| |#1| (-1059 (-576))) ((-1059 #2#) . T) ((-1059 |#1|) . T) ((-1072 #1#) |has| |#1| (-38 (-419 (-576)))) ((-1072 |#1|) . T) ((-1072 $) -2760 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1077 #1#) |has| |#1| (-38 (-419 (-576)))) ((-1077 |#1|) . T) ((-1077 $) -2760 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1173) |has| |#1| (-1173)) ((-1238) . T) ((-1242) |has| |#1| (-928))) 
+((-1969 (((-656 (-1103)) $) 34)) (-2114 (($ $) 31)) (-1945 (($ |#2| |#3|) NIL) (($ $ (-1103) |#3|) 28) (($ $ (-656 (-1103)) (-656 |#3|)) 27)) (-2081 (($ $) 14)) (-2091 ((|#2| $) 12)) (-3634 ((|#3| $) 10))) 
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+NIL 
+(-10 -8 (-15 -1969 ((-656 (-1103)) |#1|)) (-15 -1945 (|#1| |#1| (-656 (-1103)) (-656 |#3|))) (-15 -1945 (|#1| |#1| (-1103) |#3|)) (-15 -2114 (|#1| |#1|)) (-15 -1945 (|#1| |#2| |#3|)) (-15 -3634 (|#3| |#1|)) (-15 -2081 (|#1| |#1|)) (-15 -2091 (|#2| |#1|))) 
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 (((-1266 |#1| |#2|) (-141) (-1070) (-804)) (T -1266)) 
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-(((-21) . T) ((-23) . T) ((-47 |#1| |#2|) . T) ((-25) . T) ((-38 #0=(-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((-38 |#1|) |has| |#1| (-174)) ((-38 $) |has| |#1| (-568)) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-38 (-419 (-576)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2758 (|has| |#1| (-568)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 #0#) |has| |#1| (-38 (-419 (-576)))) ((-628 (-576)) . T) ((-628 |#1|) |has| |#1| (-174)) ((-628 $) |has| |#1| (-568)) ((-625 (-876)) . T) ((-174) -2758 (|has| |#1| (-568)) (|has| |#1| (-174))) ((-234 $) |has| |#1| (-15 * (|#1| |#2| |#1|))) ((-238) |has| |#1| (-15 * (|#1| |#2| |#1|))) ((-237) |has| |#1| (-15 * (|#1| |#2| |#1|))) ((-296 |#2| |#1|) . T) ((-296 $ $) |has| |#2| (-1133)) ((-300) |has| |#1| (-568)) ((-568) |has| |#1| (-568)) ((-658 #0#) |has| |#1| (-38 (-419 (-576)))) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 #0#) |has| |#1| (-38 (-419 (-576)))) ((-660 |#1|) . T) ((-660 $) . T) ((-652 #0#) |has| |#1| (-38 (-419 (-576)))) ((-652 |#1|) |has| |#1| (-174)) ((-652 $) |has| |#1| (-568)) ((-729 #0#) |has| |#1| (-38 (-419 (-576)))) ((-729 |#1|) |has| |#1| (-174)) ((-729 $) |has| |#1| (-568)) ((-738) . T) ((-911 $ #1=(-1197)) -12 (|has| |#1| (-15 * (|#1| |#2| |#1|))) (|has| |#1| (-917 (-1197)))) ((-917 #1#) -12 (|has| |#1| (-15 * (|#1| |#2| |#1|))) (|has| |#1| (-917 (-1197)))) ((-919 #1#) -12 (|has| |#1| (-15 * (|#1| |#2| |#1|))) (|has| |#1| (-917 (-1197)))) ((-994 |#1| |#2| (-1103)) . T) ((-1072 #0#) |has| |#1| (-38 (-419 (-576)))) ((-1072 |#1|) . T) ((-1072 $) -2758 (|has| |#1| (-568)) (|has| |#1| (-174))) ((-1077 #0#) |has| |#1| (-38 (-419 (-576)))) ((-1077 |#1|) . T) ((-1077 $) -2758 (|has| |#1| (-568)) (|has| |#1| (-174))) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1238) . T)) 
-((-3420 ((|#2| |#2|) 12)) (-1770 (((-430 |#2|) |#2|) 14)) (-2547 (((-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#2|) (|:| |xpnt| (-576))) (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#2|) (|:| |xpnt| (-576)))) 30))) 
-(((-1267 |#1| |#2|) (-10 -7 (-15 -1770 ((-430 |#2|) |#2|)) (-15 -3420 (|#2| |#2|)) (-15 -2547 ((-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#2|) (|:| |xpnt| (-576))) (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#2|) (|:| |xpnt| (-576)))))) (-568) (-13 (-1264 |#1|) (-568) (-10 -8 (-15 -3498 ($ $ $))))) (T -1267)) 
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 NIL 
 (((-1283) (-141)) (T -1283)) 
 NIL 
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 NIL 
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 (((-1302 |#1|) (-141) (-1070)) (T -1302)) 
 NIL 
 (-13 (-1070) (-111 |t#1| |t#1|) (-628 |t#1|) (-10 -7 (IF (|has| |t#1| (-174)) (-6 (-38 |t#1|)) |%noBranch|))) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-38 |#1|) |has| |#1| (-174)) ((-102) . T) ((-111 |#1| |#1|) . T) ((-132) . T) ((-628 (-576)) . T) ((-628 |#1|) . T) ((-625 (-876)) . T) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 |#1|) . T) ((-660 $) . T) ((-652 |#1|) |has| |#1| (-174)) ((-729 |#1|) |has| |#1| (-174)) ((-738) . T) ((-1072 |#1|) . T) ((-1077 |#1|) . T) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1238) . T)) 
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 (((-1303 |#1| |#2|) (-13 (-393 |#2| (-831 |#1|)) (-1309 |#1| |#2|)) (-861) (-1070)) (T -1303)) 
 NIL 
 (-13 (-393 |#2| (-831 |#1|)) (-1309 |#1| |#2|)) 
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-(-10 -7 (-15 -4103 (|#3| |#3| (-783))) (-15 -3744 (|#3| |#3| (-783))) (-15 -2004 (|#3| |#3| |#3| (-783)))) 
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 (((-1317 |#1|) (-13 (-174) (-379) (-626 (-576)) (-1173)) (-940)) (T -1317)) 
 NIL 
 (-13 (-174) (-379) (-626 (-576)) (-1173)) 
@@ -5441,4 +5441,4 @@ NIL
 NIL 
 NIL 
 NIL 
-((-3 3262353 3262358 3262363 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-2 3262338 3262343 3262348 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1 3262323 3262328 3262333 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (0 3262308 3262313 3262318 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1317 3261451 3262183 3262260 "ZMOD" 3262265 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1316 3260505 3260669 3260892 "ZLINDEP" 3261283 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1315 3249805 3251573 3253545 "ZDSOLVE" 3258635 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1314 3249051 3249192 3249381 "YSTREAM" 3249651 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1313 3248479 3248725 3248838 "YDIAGRAM" 3248960 T YDIAGRAM (NIL) -8 NIL NIL NIL) (-1312 3246253 3247780 3247984 "XRPOLY" 3248322 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1311 3242806 3244124 3244699 "XPR" 3245725 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1310 3240527 3242137 3242341 "XPOLY" 3242637 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1309 3238166 3239534 3239589 "XPOLYC" 3239877 NIL XPOLYC (NIL T T) -9 NIL 3239990 NIL) (-1308 3234542 3236683 3237071 "XPBWPOLY" 3237824 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1307 3230223 3232518 3232560 "XF" 3233181 NIL XF (NIL T) -9 NIL 3233581 NIL) (-1306 3229844 3229932 3230101 "XF-" 3230106 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1305 3225026 3226315 3226370 "XFALG" 3228542 NIL XFALG (NIL T T) -9 NIL 3229331 NIL) (-1304 3224159 3224263 3224468 "XEXPPKG" 3224918 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1303 3222268 3224009 3224105 "XDPOLY" 3224110 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1302 3221061 3221661 3221704 "XALG" 3221709 NIL XALG (NIL T) -9 NIL 3221820 NIL) (-1301 3214503 3219038 3219532 "WUTSET" 3220653 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1300 3212759 3213555 3213878 "WP" 3214314 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1299 3212361 3212581 3212651 "WHILEAST" 3212711 T WHILEAST (NIL) -8 NIL NIL NIL) (-1298 3211833 3212078 3212172 "WHEREAST" 3212289 T WHEREAST (NIL) -8 NIL NIL NIL) (-1297 3210719 3210917 3211212 "WFFINTBS" 3211630 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1296 3208623 3209050 3209512 "WEIER" 3210291 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1295 3207655 3208105 3208147 "VSPACE" 3208283 NIL VSPACE (NIL T) -9 NIL 3208357 NIL) (-1294 3207493 3207520 3207611 "VSPACE-" 3207616 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1293 3207302 3207344 3207412 "VOID" 3207447 T VOID (NIL) -8 NIL NIL NIL) (-1292 3205438 3205797 3206203 "VIEW" 3206918 T VIEW (NIL) -7 NIL NIL NIL) (-1291 3201862 3202501 3203238 "VIEWDEF" 3204723 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1290 3191166 3193410 3195583 "VIEW3D" 3199711 T VIEW3D (NIL) -8 NIL NIL NIL) (-1289 3183417 3185077 3186656 "VIEW2D" 3189609 T VIEW2D (NIL) -8 NIL NIL NIL) (-1288 3178773 3183187 3183279 "VECTOR" 3183360 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1287 3177350 3177609 3177927 "VECTOR2" 3178503 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1286 3170748 3175054 3175097 "VECTCAT" 3176092 NIL VECTCAT (NIL T) -9 NIL 3176679 NIL) (-1285 3169762 3170016 3170406 "VECTCAT-" 3170411 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1284 3169216 3169413 3169533 "VARIABLE" 3169677 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1283 3169149 3169154 3169184 "UTYPE" 3169189 T UTYPE (NIL) -9 NIL NIL NIL) (-1282 3167979 3168133 3168395 "UTSODETL" 3168975 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1281 3165419 3165879 3166403 "UTSODE" 3167520 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1280 3157367 3163180 3163660 "UTS" 3164997 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1279 3147931 3153301 3153344 "UTSCAT" 3154456 NIL UTSCAT (NIL T) -9 NIL 3155214 NIL) (-1278 3145279 3146001 3146990 "UTSCAT-" 3146995 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1277 3144906 3144949 3145082 "UTS2" 3145230 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1276 3139107 3141716 3141759 "URAGG" 3143829 NIL URAGG (NIL T) -9 NIL 3144552 NIL) (-1275 3136046 3136909 3138032 "URAGG-" 3138037 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1274 3131755 3134681 3135146 "UPXSSING" 3135710 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1273 3123931 3131137 3131401 "UPXS" 3131549 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1272 3117004 3123835 3123907 "UPXSCONS" 3123912 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1271 3106411 3113207 3113269 "UPXSCCA" 3113843 NIL UPXSCCA (NIL T T) -9 NIL 3114076 NIL) (-1270 3106049 3106134 3106308 "UPXSCCA-" 3106313 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1269 3095308 3101877 3101920 "UPXSCAT" 3102568 NIL UPXSCAT (NIL T) -9 NIL 3103177 NIL) (-1268 3094738 3094817 3094996 "UPXS2" 3095223 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1267 3093392 3093645 3093996 "UPSQFREE" 3094481 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1266 3086600 3089660 3089715 "UPSCAT" 3090795 NIL UPSCAT (NIL T T) -9 NIL 3091560 NIL) (-1265 3085804 3086011 3086338 "UPSCAT-" 3086343 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1264 3070886 3078931 3078974 "UPOLYC" 3081075 NIL UPOLYC (NIL T) -9 NIL 3082296 NIL) (-1263 3062214 3064640 3067787 "UPOLYC-" 3067792 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1262 3061841 3061884 3062017 "UPOLYC2" 3062165 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1261 3053376 3061524 3061653 "UP" 3061760 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1260 3052715 3052822 3052986 "UPMP" 3053265 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1259 3052268 3052349 3052488 "UPDIVP" 3052628 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1258 3050836 3051085 3051401 "UPDECOMP" 3052017 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1257 3050067 3050179 3050365 "UPCDEN" 3050720 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1256 3049586 3049655 3049804 "UP2" 3049992 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1255 3048053 3048790 3049067 "UNISEG" 3049344 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1254 3047268 3047395 3047600 "UNISEG2" 3047896 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1253 3046328 3046508 3046734 "UNIFACT" 3047084 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1252 3029080 3045640 3045882 "ULS" 3046144 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1251 3016710 3028984 3029056 "ULSCONS" 3029061 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1250 2997431 3009791 3009853 "ULSCCAT" 3010491 NIL ULSCCAT (NIL T T) -9 NIL 3010780 NIL) (-1249 2996481 2996726 2997114 "ULSCCAT-" 2997119 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1248 2985545 2992028 2992071 "ULSCAT" 2992934 NIL ULSCAT (NIL T) -9 NIL 2993665 NIL) (-1247 2984975 2985054 2985233 "ULS2" 2985460 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1246 2984094 2984604 2984711 "UINT8" 2984822 T UINT8 (NIL) -8 NIL NIL 2984907) (-1245 2983212 2983722 2983829 "UINT64" 2983940 T UINT64 (NIL) -8 NIL NIL 2984025) (-1244 2982330 2982840 2982947 "UINT32" 2983058 T UINT32 (NIL) -8 NIL NIL 2983143) (-1243 2981448 2981958 2982065 "UINT16" 2982176 T UINT16 (NIL) -8 NIL NIL 2982261) (-1242 2979737 2980694 2980724 "UFD" 2980936 T UFD (NIL) -9 NIL 2981050 NIL) (-1241 2979531 2979577 2979672 "UFD-" 2979677 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1240 2978613 2978796 2979012 "UDVO" 2979337 T UDVO (NIL) -7 NIL NIL NIL) (-1239 2976429 2976838 2977309 "UDPO" 2978177 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1238 2976362 2976367 2976397 "TYPE" 2976402 T TYPE (NIL) -9 NIL NIL NIL) (-1237 2976122 2976317 2976348 "TYPEAST" 2976353 T TYPEAST (NIL) -8 NIL NIL NIL) (-1236 2975093 2975295 2975535 "TWOFACT" 2975916 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1235 2974116 2974502 2974737 "TUPLE" 2974893 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1234 2971807 2972326 2972865 "TUBETOOL" 2973599 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1233 2970656 2970861 2971102 "TUBE" 2971600 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1232 2965385 2969628 2969911 "TS" 2970408 NIL TS (NIL T) -8 NIL NIL NIL) (-1231 2954025 2958144 2958241 "TSETCAT" 2963510 NIL TSETCAT (NIL T T T T) -9 NIL 2965041 NIL) (-1230 2948757 2950357 2952248 "TSETCAT-" 2952253 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1229 2943396 2944243 2945172 "TRMANIP" 2947893 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1228 2942837 2942900 2943063 "TRIMAT" 2943328 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1227 2940703 2940940 2941297 "TRIGMNIP" 2942586 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1226 2940223 2940336 2940366 "TRIGCAT" 2940579 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1225 2939892 2939971 2940112 "TRIGCAT-" 2940117 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1224 2936740 2938750 2939031 "TREE" 2939646 NIL TREE (NIL T) -8 NIL NIL NIL) (-1223 2936014 2936542 2936572 "TRANFUN" 2936607 T TRANFUN (NIL) -9 NIL 2936673 NIL) (-1222 2935293 2935484 2935764 "TRANFUN-" 2935769 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1221 2935097 2935129 2935190 "TOPSP" 2935254 T TOPSP (NIL) -7 NIL NIL NIL) (-1220 2934445 2934560 2934714 "TOOLSIGN" 2934978 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1219 2933079 2933622 2933861 "TEXTFILE" 2934228 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1218 2930991 2931532 2931961 "TEX" 2932672 T TEX (NIL) -8 NIL NIL NIL) (-1217 2930772 2930803 2930875 "TEX1" 2930954 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1216 2930420 2930483 2930573 "TEMUTL" 2930704 T TEMUTL (NIL) -7 NIL NIL NIL) (-1215 2928574 2928854 2929179 "TBCMPPK" 2930143 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1214 2920283 2926660 2926716 "TBAGG" 2927116 NIL TBAGG (NIL T T) -9 NIL 2927327 NIL) (-1213 2915353 2916841 2918595 "TBAGG-" 2918600 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1212 2914737 2914844 2914989 "TANEXP" 2915242 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1211 2914248 2914512 2914602 "TALGOP" 2914682 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1210 2907644 2914105 2914198 "TABLE" 2914203 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1209 2907056 2907155 2907293 "TABLEAU" 2907541 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1208 2901664 2902884 2904132 "TABLBUMP" 2905842 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1207 2900886 2901033 2901214 "SYSTEM" 2901505 T SYSTEM (NIL) -8 NIL NIL NIL) (-1206 2897345 2898044 2898827 "SYSSOLP" 2900137 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1205 2897143 2897300 2897331 "SYSPTR" 2897336 T SYSPTR (NIL) -8 NIL NIL NIL) (-1204 2896179 2896684 2896803 "SYSNNI" 2896989 NIL SYSNNI (NIL NIL) -8 NIL NIL 2897074) (-1203 2895478 2895937 2896016 "SYSINT" 2896076 NIL SYSINT (NIL NIL) -8 NIL NIL 2896121) (-1202 2891810 2892756 2893466 "SYNTAX" 2894790 T SYNTAX (NIL) -8 NIL NIL NIL) (-1201 2888968 2889570 2890202 "SYMTAB" 2891200 T SYMTAB (NIL) -8 NIL NIL NIL) (-1200 2884217 2885119 2886102 "SYMS" 2888007 T SYMS (NIL) -8 NIL NIL NIL) (-1199 2881452 2883675 2883905 "SYMPOLY" 2884022 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1198 2880969 2881044 2881167 "SYMFUNC" 2881364 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1197 2876989 2878281 2879094 "SYMBOL" 2880178 T SYMBOL (NIL) -8 NIL NIL NIL) (-1196 2870528 2872217 2873937 "SWITCH" 2875291 T SWITCH (NIL) -8 NIL NIL NIL) (-1195 2863872 2869484 2869778 "SUTS" 2870292 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1194 2856048 2863254 2863518 "SUPXS" 2863666 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1193 2847531 2855666 2855792 "SUP" 2855957 NIL SUP (NIL T) -8 NIL NIL NIL) (-1192 2846690 2846817 2847034 "SUPFRACF" 2847399 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1191 2846311 2846370 2846483 "SUP2" 2846625 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1190 2844759 2845033 2845389 "SUMRF" 2846010 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1189 2844094 2844160 2844352 "SUMFS" 2844680 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1188 2826881 2843406 2843648 "SULS" 2843910 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1187 2826483 2826703 2826773 "SUCHTAST" 2826833 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1186 2825778 2826008 2826148 "SUCH" 2826391 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1185 2819645 2820684 2821643 "SUBSPACE" 2824866 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1184 2819075 2819165 2819329 "SUBRESP" 2819533 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1183 2812443 2813740 2815051 "STTF" 2817811 NIL STTF (NIL T) -7 NIL NIL NIL) (-1182 2806616 2807736 2808883 "STTFNC" 2811343 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1181 2797929 2799798 2801592 "STTAYLOR" 2804857 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1180 2791065 2797793 2797876 "STRTBL" 2797881 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1179 2786026 2790774 2790873 "STRING" 2790988 T STRING (NIL) -8 NIL NIL NIL) (-1178 2778782 2783645 2784256 "STREAM" 2785450 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1177 2778292 2778369 2778513 "STREAM3" 2778699 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1176 2777274 2777457 2777692 "STREAM2" 2778105 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1175 2776962 2777014 2777107 "STREAM1" 2777216 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1174 2775978 2776159 2776390 "STINPROD" 2776778 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1173 2775516 2775726 2775756 "STEP" 2775836 T STEP (NIL) -9 NIL 2775914 NIL) (-1172 2774703 2775005 2775153 "STEPAST" 2775390 T STEPAST (NIL) -8 NIL NIL NIL) (-1171 2768141 2774602 2774679 "STBL" 2774684 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1170 2763211 2767304 2767347 "STAGG" 2767500 NIL STAGG (NIL T) -9 NIL 2767589 NIL) (-1169 2760913 2761515 2762387 "STAGG-" 2762392 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1168 2759063 2760683 2760775 "STACK" 2760856 NIL STACK (NIL T) -8 NIL NIL NIL) (-1167 2751758 2757204 2757660 "SREGSET" 2758693 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1166 2744183 2745552 2747065 "SRDCMPK" 2750364 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1165 2737020 2741542 2741572 "SRAGG" 2742875 T SRAGG (NIL) -9 NIL 2743483 NIL) (-1164 2736037 2736292 2736671 "SRAGG-" 2736676 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1163 2730221 2734984 2735405 "SQMATRIX" 2735663 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1162 2723909 2726939 2727666 "SPLTREE" 2729566 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1161 2719872 2720565 2721211 "SPLNODE" 2723335 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1160 2718919 2719152 2719182 "SPFCAT" 2719626 T SPFCAT (NIL) -9 NIL NIL NIL) (-1159 2717656 2717866 2718130 "SPECOUT" 2718677 T SPECOUT (NIL) -7 NIL NIL NIL) (-1158 2708752 2710624 2710654 "SPADXPT" 2715330 T SPADXPT (NIL) -9 NIL 2717494 NIL) (-1157 2708513 2708553 2708622 "SPADPRSR" 2708705 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1156 2706562 2708468 2708499 "SPADAST" 2708504 T SPADAST (NIL) -8 NIL NIL NIL) (-1155 2698493 2700266 2700309 "SPACEC" 2704682 NIL SPACEC (NIL T) -9 NIL 2706498 NIL) (-1154 2696623 2698425 2698474 "SPACE3" 2698479 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1153 2695375 2695546 2695837 "SORTPAK" 2696428 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1152 2693467 2693770 2694182 "SOLVETRA" 2695039 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1151 2692517 2692739 2693000 "SOLVESER" 2693240 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1150 2687821 2688709 2689704 "SOLVERAD" 2691569 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1149 2683636 2684245 2684974 "SOLVEFOR" 2687188 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1148 2677906 2682985 2683082 "SNTSCAT" 2683087 NIL SNTSCAT (NIL T T T T) -9 NIL 2683157 NIL) (-1147 2672012 2676229 2676620 "SMTS" 2677596 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1146 2666421 2671900 2671977 "SMP" 2671982 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1145 2664580 2664881 2665279 "SMITH" 2666118 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1144 2656684 2661159 2661262 "SMATCAT" 2662613 NIL SMATCAT (NIL NIL T T T) -9 NIL 2663163 NIL) (-1143 2653624 2654447 2655625 "SMATCAT-" 2655630 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1142 2651265 2652832 2652875 "SKAGG" 2653136 NIL SKAGG (NIL T) -9 NIL 2653271 NIL) (-1141 2647455 2650738 2650922 "SINT" 2651074 T SINT (NIL) -8 NIL NIL 2651236) (-1140 2647227 2647265 2647331 "SIMPAN" 2647411 T SIMPAN (NIL) -7 NIL NIL NIL) (-1139 2646506 2646762 2646902 "SIG" 2647109 T SIG (NIL) -8 NIL NIL NIL) (-1138 2645344 2645565 2645840 "SIGNRF" 2646265 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1137 2644177 2644328 2644612 "SIGNEF" 2645173 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1136 2643483 2643760 2643884 "SIGAST" 2644075 T SIGAST (NIL) -8 NIL NIL NIL) (-1135 2641173 2641627 2642133 "SHP" 2643024 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1134 2635002 2641074 2641150 "SHDP" 2641155 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1133 2634561 2634753 2634783 "SGROUP" 2634876 T SGROUP (NIL) -9 NIL 2634938 NIL) (-1132 2634419 2634445 2634518 "SGROUP-" 2634523 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1131 2631210 2631908 2632631 "SGCF" 2633718 T SGCF (NIL) -7 NIL NIL NIL) (-1130 2625578 2630657 2630754 "SFRTCAT" 2630759 NIL SFRTCAT (NIL T T T T) -9 NIL 2630798 NIL) (-1129 2618999 2620017 2621153 "SFRGCD" 2624561 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1128 2612125 2613198 2614384 "SFQCMPK" 2617932 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1127 2611745 2611834 2611945 "SFORT" 2612066 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1126 2610863 2611585 2611706 "SEXOF" 2611711 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1125 2609970 2610744 2610812 "SEX" 2610817 T SEX (NIL) -8 NIL NIL NIL) (-1124 2605751 2606466 2606561 "SEXCAT" 2609183 NIL SEXCAT (NIL T T T T T) -9 NIL 2609743 NIL) (-1123 2602904 2605685 2605733 "SET" 2605738 NIL SET (NIL T) -8 NIL NIL NIL) (-1122 2601128 2601617 2601922 "SETMN" 2602645 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1121 2600694 2600846 2600876 "SETCAT" 2600993 T SETCAT (NIL) -9 NIL 2601078 NIL) (-1120 2600474 2600526 2600625 "SETCAT-" 2600630 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1119 2596835 2598935 2598978 "SETAGG" 2599848 NIL SETAGG (NIL T) -9 NIL 2600188 NIL) (-1118 2596293 2596409 2596646 "SETAGG-" 2596651 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1117 2595736 2595989 2596090 "SEQAST" 2596214 T SEQAST (NIL) -8 NIL NIL NIL) (-1116 2594935 2595229 2595290 "SEGXCAT" 2595576 NIL SEGXCAT (NIL T T) -9 NIL 2595696 NIL) (-1115 2593941 2594601 2594783 "SEG" 2594788 NIL SEG (NIL T) -8 NIL NIL NIL) (-1114 2592920 2593134 2593177 "SEGCAT" 2593699 NIL SEGCAT (NIL T) -9 NIL 2593920 NIL) (-1113 2591852 2592283 2592491 "SEGBIND" 2592747 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1112 2591473 2591532 2591645 "SEGBIND2" 2591787 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1111 2591046 2591274 2591351 "SEGAST" 2591418 T SEGAST (NIL) -8 NIL NIL NIL) (-1110 2590265 2590391 2590595 "SEG2" 2590890 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1109 2589636 2590200 2590247 "SDVAR" 2590252 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1108 2581887 2589406 2589536 "SDPOL" 2589541 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1107 2580480 2580746 2581065 "SCPKG" 2581602 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1106 2579644 2579816 2580008 "SCOPE" 2580310 T SCOPE (NIL) -8 NIL NIL NIL) (-1105 2578864 2578998 2579177 "SCACHE" 2579499 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1104 2578496 2578682 2578712 "SASTCAT" 2578717 T SASTCAT (NIL) -9 NIL 2578730 NIL) (-1103 2577983 2578331 2578407 "SAOS" 2578442 T SAOS (NIL) -8 NIL NIL NIL) (-1102 2577548 2577583 2577756 "SAERFFC" 2577942 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1101 2571211 2577445 2577525 "SAE" 2577530 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1100 2570804 2570839 2570998 "SAEFACT" 2571170 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1099 2569125 2569439 2569840 "RURPK" 2570470 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1098 2567762 2568068 2568373 "RULESET" 2568959 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1097 2564985 2565515 2565973 "RULE" 2567443 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1096 2564597 2564779 2564862 "RULECOLD" 2564937 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1095 2564387 2564415 2564486 "RTVALUE" 2564548 T RTVALUE (NIL) -8 NIL NIL NIL) (-1094 2563858 2564104 2564198 "RSTRCAST" 2564315 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1093 2558706 2559501 2560421 "RSETGCD" 2563057 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1092 2547936 2553015 2553112 "RSETCAT" 2557231 NIL RSETCAT (NIL T T T T) -9 NIL 2558328 NIL) (-1091 2545863 2546402 2547226 "RSETCAT-" 2547231 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1090 2538249 2539625 2541145 "RSDCMPK" 2544462 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1089 2536214 2536681 2536755 "RRCC" 2537841 NIL RRCC (NIL T T) -9 NIL 2538185 NIL) (-1088 2535565 2535739 2536018 "RRCC-" 2536023 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1087 2535008 2535261 2535362 "RPTAST" 2535486 T RPTAST (NIL) -8 NIL NIL NIL) (-1086 2508484 2518120 2518187 "RPOLCAT" 2528853 NIL RPOLCAT (NIL T T T) -9 NIL 2532013 NIL) (-1085 2499982 2502322 2505444 "RPOLCAT-" 2505449 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1084 2490919 2498193 2498675 "ROUTINE" 2499522 T ROUTINE (NIL) -8 NIL NIL NIL) (-1083 2487580 2490545 2490685 "ROMAN" 2490801 T ROMAN (NIL) -8 NIL NIL NIL) (-1082 2485824 2486440 2486700 "ROIRC" 2487385 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1081 2482028 2484313 2484343 "RNS" 2484647 T RNS (NIL) -9 NIL 2484921 NIL) (-1080 2480537 2480920 2481454 "RNS-" 2481529 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1079 2479926 2480334 2480364 "RNG" 2480369 T RNG (NIL) -9 NIL 2480390 NIL) (-1078 2478929 2479291 2479493 "RNGBIND" 2479777 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1077 2478314 2478702 2478745 "RMODULE" 2478750 NIL RMODULE (NIL T) -9 NIL 2478777 NIL) (-1076 2477150 2477244 2477580 "RMCAT2" 2478215 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1075 2474000 2476496 2476793 "RMATRIX" 2476912 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1074 2466827 2469087 2469202 "RMATCAT" 2472561 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2473543 NIL) (-1073 2466202 2466349 2466656 "RMATCAT-" 2466661 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1072 2465817 2465989 2466032 "RLINSET" 2466094 NIL RLINSET (NIL T) -9 NIL 2466138 NIL) (-1071 2465384 2465459 2465587 "RINTERP" 2465736 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1070 2464428 2464982 2465012 "RING" 2465068 T RING (NIL) -9 NIL 2465160 NIL) (-1069 2464220 2464264 2464361 "RING-" 2464366 NIL RING- (NIL T) -8 NIL NIL NIL) (-1068 2463061 2463298 2463556 "RIDIST" 2463984 T RIDIST (NIL) -7 NIL NIL NIL) (-1067 2454350 2462529 2462735 "RGCHAIN" 2462909 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1066 2453686 2454092 2454133 "RGBCSPC" 2454191 NIL RGBCSPC (NIL T) -9 NIL 2454243 NIL) (-1065 2452830 2453211 2453252 "RGBCMDL" 2453484 NIL RGBCMDL (NIL T) -9 NIL 2453598 NIL) (-1064 2449824 2450438 2451108 "RF" 2452194 NIL RF (NIL T) -7 NIL NIL NIL) (-1063 2449470 2449533 2449636 "RFFACTOR" 2449755 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1062 2449195 2449230 2449327 "RFFACT" 2449429 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1061 2447312 2447676 2448058 "RFDIST" 2448835 T RFDIST (NIL) -7 NIL NIL NIL) (-1060 2446765 2446857 2447020 "RETSOL" 2447214 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1059 2446401 2446481 2446524 "RETRACT" 2446657 NIL RETRACT (NIL T) -9 NIL 2446744 NIL) (-1058 2446250 2446275 2446362 "RETRACT-" 2446367 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1057 2445852 2446072 2446142 "RETAST" 2446202 T RETAST (NIL) -8 NIL NIL NIL) (-1056 2438596 2445505 2445632 "RESULT" 2445747 T RESULT (NIL) -8 NIL NIL NIL) (-1055 2437187 2437865 2438064 "RESRING" 2438499 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1054 2436823 2436872 2436970 "RESLATC" 2437124 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1053 2436528 2436563 2436670 "REPSQ" 2436782 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1052 2433950 2434530 2435132 "REP" 2435948 T REP (NIL) -7 NIL NIL NIL) (-1051 2433647 2433682 2433793 "REPDB" 2433909 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1050 2427547 2428936 2430159 "REP2" 2432459 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1049 2423924 2424605 2425413 "REP1" 2426774 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1048 2416620 2422065 2422521 "REGSET" 2423554 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1047 2415385 2415768 2416018 "REF" 2416405 NIL REF (NIL T) -8 NIL NIL NIL) (-1046 2414762 2414865 2415032 "REDORDER" 2415269 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1045 2410730 2413975 2414202 "RECLOS" 2414590 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1044 2409782 2409963 2410178 "REALSOLV" 2410537 T REALSOLV (NIL) -7 NIL NIL NIL) (-1043 2409628 2409669 2409699 "REAL" 2409704 T REAL (NIL) -9 NIL 2409739 NIL) (-1042 2406111 2406913 2407797 "REAL0Q" 2408793 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1041 2401712 2402700 2403761 "REAL0" 2405092 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1040 2401183 2401429 2401523 "RDUCEAST" 2401640 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1039 2400588 2400660 2400867 "RDIV" 2401105 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1038 2399656 2399830 2400043 "RDIST" 2400410 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1037 2398253 2398540 2398912 "RDETRS" 2399364 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1036 2396065 2396519 2397057 "RDETR" 2397795 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1035 2394690 2394968 2395365 "RDEEFS" 2395781 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1034 2393199 2393505 2393930 "RDEEF" 2394378 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1033 2387232 2390153 2390183 "RCFIELD" 2391478 T RCFIELD (NIL) -9 NIL 2392209 NIL) (-1032 2385296 2385800 2386496 "RCFIELD-" 2386571 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1031 2381540 2383369 2383412 "RCAGG" 2384496 NIL RCAGG (NIL T) -9 NIL 2384961 NIL) (-1030 2381168 2381262 2381425 "RCAGG-" 2381430 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1029 2380503 2380615 2380780 "RATRET" 2381052 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1028 2380056 2380123 2380244 "RATFACT" 2380431 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1027 2379364 2379484 2379636 "RANDSRC" 2379926 T RANDSRC (NIL) -7 NIL NIL NIL) (-1026 2379098 2379142 2379215 "RADUTIL" 2379313 T RADUTIL (NIL) -7 NIL NIL NIL) (-1025 2371926 2377929 2378240 "RADIX" 2378821 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1024 2362386 2371768 2371898 "RADFF" 2371903 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-1023 2362033 2362108 2362138 "RADCAT" 2362298 T RADCAT (NIL) -9 NIL NIL NIL) (-1022 2361815 2361863 2361963 "RADCAT-" 2361968 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-1021 2359916 2361585 2361677 "QUEUE" 2361758 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-1020 2356177 2359849 2359897 "QUAT" 2359902 NIL QUAT (NIL T) -8 NIL NIL NIL) (-1019 2355808 2355851 2355982 "QUATCT2" 2356128 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-1018 2348606 2352231 2352273 "QUATCAT" 2353064 NIL QUATCAT (NIL T) -9 NIL 2353830 NIL) (-1017 2344745 2345782 2347172 "QUATCAT-" 2347268 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-1016 2342185 2343793 2343836 "QUAGG" 2344217 NIL QUAGG (NIL T) -9 NIL 2344392 NIL) (-1015 2341787 2342007 2342077 "QQUTAST" 2342137 T QQUTAST (NIL) -8 NIL NIL NIL) (-1014 2340800 2341300 2341465 "QFORM" 2341668 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-1013 2331132 2336647 2336689 "QFCAT" 2337357 NIL QFCAT (NIL T) -9 NIL 2338358 NIL) (-1012 2326699 2327900 2329494 "QFCAT-" 2329590 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-1011 2326330 2326373 2326504 "QFCAT2" 2326650 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-1010 2325785 2325895 2326027 "QEQUAT" 2326220 T QEQUAT (NIL) -8 NIL NIL NIL) (-1009 2318911 2319984 2321170 "QCMPACK" 2324718 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-1008 2316449 2316897 2317327 "QALGSET" 2318566 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-1007 2315684 2315860 2316096 "QALGSET2" 2316267 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-1006 2314369 2314593 2314912 "PWFFINTB" 2315457 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-1005 2312544 2312712 2313068 "PUSHVAR" 2314183 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-1004 2308433 2309487 2309530 "PTRANFN" 2311441 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-1003 2306824 2307115 2307439 "PTPACK" 2308144 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-1002 2306453 2306510 2306621 "PTFUNC2" 2306761 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-1001 2300848 2305242 2305285 "PTCAT" 2305585 NIL PTCAT (NIL T) -9 NIL 2305738 NIL) (-1000 2300503 2300538 2300664 "PSQFR" 2300807 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-999 2299098 2299396 2299730 "PSEUDLIN" 2300201 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-998 2285861 2288232 2290556 "PSETPK" 2296858 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-997 2278879 2281619 2281715 "PSETCAT" 2284736 NIL PSETCAT (NIL T T T T) -9 NIL 2285550 NIL) (-996 2276715 2277349 2278170 "PSETCAT-" 2278175 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-995 2276064 2276229 2276257 "PSCURVE" 2276525 T PSCURVE (NIL) -9 NIL 2276692 NIL) (-994 2272048 2273564 2273629 "PSCAT" 2274473 NIL PSCAT (NIL T T T) -9 NIL 2274713 NIL) (-993 2271111 2271327 2271727 "PSCAT-" 2271732 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-992 2269470 2270180 2270443 "PRTITION" 2270868 T PRTITION (NIL) -8 NIL NIL NIL) (-991 2268945 2269191 2269283 "PRTDAST" 2269398 T PRTDAST (NIL) -8 NIL NIL NIL) (-990 2258035 2260249 2262437 "PRS" 2266807 NIL PRS (NIL T T) -7 NIL NIL NIL) (-989 2255821 2257357 2257397 "PRQAGG" 2257580 NIL PRQAGG (NIL T) -9 NIL 2257682 NIL) (-988 2255157 2255462 2255490 "PROPLOG" 2255629 T PROPLOG (NIL) -9 NIL 2255744 NIL) (-987 2254761 2254818 2254941 "PROPFUN2" 2255080 NIL PROPFUN2 (NIL T T) -8 NIL NIL NIL) (-986 2254076 2254197 2254369 "PROPFUN1" 2254622 NIL PROPFUN1 (NIL T) -8 NIL NIL NIL) (-985 2252257 2252823 2253120 "PROPFRML" 2253812 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-984 2251726 2251833 2251961 "PROPERTY" 2252149 T PROPERTY (NIL) -8 NIL NIL NIL) (-983 2245784 2249892 2250712 "PRODUCT" 2250952 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-982 2243062 2245242 2245476 "PR" 2245595 NIL PR (NIL T T) -8 NIL NIL NIL) (-981 2242858 2242890 2242949 "PRINT" 2243023 T PRINT (NIL) -7 NIL NIL NIL) (-980 2242198 2242315 2242467 "PRIMES" 2242738 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-979 2240263 2240664 2241130 "PRIMELT" 2241777 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-978 2239992 2240041 2240069 "PRIMCAT" 2240193 T PRIMCAT (NIL) -9 NIL NIL NIL) (-977 2236110 2239930 2239975 "PRIMARR" 2239980 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-976 2235117 2235295 2235523 "PRIMARR2" 2235928 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-975 2234760 2234816 2234927 "PREASSOC" 2235055 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-974 2234235 2234368 2234396 "PPCURVE" 2234601 T PPCURVE (NIL) -9 NIL 2234737 NIL) (-973 2233830 2234030 2234113 "PORTNUM" 2234172 T PORTNUM (NIL) -8 NIL NIL NIL) (-972 2231189 2231588 2232180 "POLYROOT" 2233411 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-971 2225095 2230793 2230953 "POLY" 2231062 NIL POLY (NIL T) -8 NIL NIL NIL) (-970 2224478 2224536 2224770 "POLYLIFT" 2225031 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-969 2220753 2221202 2221831 "POLYCATQ" 2224023 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-968 2207095 2212500 2212565 "POLYCAT" 2216079 NIL POLYCAT (NIL T T T) -9 NIL 2217957 NIL) (-967 2200544 2202406 2204790 "POLYCAT-" 2204795 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-966 2200131 2200199 2200319 "POLY2UP" 2200470 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-965 2199763 2199820 2199929 "POLY2" 2200068 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-964 2198448 2198687 2198963 "POLUTIL" 2199537 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-963 2196803 2197080 2197411 "POLTOPOL" 2198170 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-962 2192269 2196737 2196784 "POINT" 2196789 NIL POINT (NIL T) -8 NIL NIL NIL) (-961 2190456 2190813 2191188 "PNTHEORY" 2191914 T PNTHEORY (NIL) -7 NIL NIL NIL) (-960 2188914 2189211 2189610 "PMTOOLS" 2190154 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-959 2188507 2188585 2188702 "PMSYM" 2188830 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-958 2188015 2188084 2188259 "PMQFCAT" 2188432 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-957 2187370 2187480 2187636 "PMPRED" 2187892 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-956 2186763 2186849 2187011 "PMPREDFS" 2187271 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-955 2185427 2185635 2186013 "PMPLCAT" 2186525 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-954 2184959 2185038 2185190 "PMLSAGG" 2185342 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-953 2184432 2184508 2184690 "PMKERNEL" 2184877 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-952 2184049 2184124 2184237 "PMINS" 2184351 NIL PMINS (NIL T) -7 NIL NIL NIL) (-951 2183491 2183560 2183769 "PMFS" 2183974 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-950 2182719 2182837 2183042 "PMDOWN" 2183368 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-949 2181886 2182044 2182225 "PMASS" 2182558 T PMASS (NIL) -7 NIL NIL NIL) (-948 2181159 2181269 2181432 "PMASSFS" 2181773 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-947 2180814 2180882 2180976 "PLOTTOOL" 2181085 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-946 2175421 2176625 2177773 "PLOT" 2179686 T PLOT (NIL) -8 NIL NIL NIL) (-945 2171225 2172269 2173190 "PLOT3D" 2174520 T PLOT3D (NIL) -8 NIL NIL NIL) (-944 2170137 2170314 2170549 "PLOT1" 2171029 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-943 2145528 2150203 2155054 "PLEQN" 2165403 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-942 2144846 2144968 2145148 "PINTERP" 2145393 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-941 2144539 2144586 2144689 "PINTERPA" 2144793 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-940 2143755 2144303 2144390 "PI" 2144430 T PI (NIL) -8 NIL NIL 2144497) (-939 2142038 2143013 2143041 "PID" 2143223 T PID (NIL) -9 NIL 2143357 NIL) (-938 2141789 2141826 2141901 "PICOERCE" 2141995 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-937 2141109 2141248 2141424 "PGROEB" 2141645 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-936 2136696 2137510 2138415 "PGE" 2140224 T PGE (NIL) -7 NIL NIL NIL) (-935 2134819 2135066 2135432 "PGCD" 2136413 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-934 2134157 2134260 2134421 "PFRPAC" 2134703 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-933 2130797 2132705 2133058 "PFR" 2133836 NIL PFR (NIL T) -8 NIL NIL NIL) (-932 2129186 2129430 2129755 "PFOTOOLS" 2130544 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-931 2127719 2127958 2128309 "PFOQ" 2128943 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-930 2126220 2126432 2126788 "PFO" 2127503 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-929 2122773 2126109 2126178 "PF" 2126183 NIL PF (NIL NIL) -8 NIL NIL NIL) (-928 2120093 2121364 2121392 "PFECAT" 2121977 T PFECAT (NIL) -9 NIL 2122361 NIL) (-927 2119538 2119692 2119906 "PFECAT-" 2119911 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-926 2118141 2118393 2118694 "PFBRU" 2119287 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-925 2116007 2116359 2116791 "PFBR" 2117792 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-924 2112053 2113519 2114166 "PERM" 2115393 NIL PERM (NIL T) -8 NIL NIL NIL) (-923 2107287 2108260 2109130 "PERMGRP" 2111216 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-922 2105351 2106311 2106352 "PERMCAT" 2106752 NIL PERMCAT (NIL T) -9 NIL 2107050 NIL) (-921 2105004 2105045 2105169 "PERMAN" 2105304 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-920 2102495 2104669 2104791 "PENDTREE" 2104915 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-919 2101424 2101639 2101680 "PDSPC" 2102213 NIL PDSPC (NIL T) -9 NIL 2102458 NIL) (-918 2100527 2100745 2101107 "PDSPC-" 2101112 NIL PDSPC- (NIL T T) -8 NIL NIL NIL) (-917 2099409 2100177 2100218 "PDRING" 2100223 NIL PDRING (NIL T) -9 NIL 2100251 NIL) (-916 2098296 2098914 2098968 "PDMOD" 2098973 NIL PDMOD (NIL T T) -9 NIL 2099077 NIL) (-915 2095511 2096289 2096957 "PDEPROB" 2097648 T PDEPROB (NIL) -8 NIL NIL NIL) (-914 2093056 2093560 2094115 "PDEPACK" 2094976 T PDEPACK (NIL) -7 NIL NIL NIL) (-913 2091968 2092158 2092409 "PDECOMP" 2092855 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-912 2089533 2090376 2090404 "PDECAT" 2091191 T PDECAT (NIL) -9 NIL 2091904 NIL) (-911 2089162 2089217 2089271 "PDDOM" 2089436 NIL PDDOM (NIL T T) -9 NIL 2089516 NIL) (-910 2088981 2089011 2089118 "PDDOM-" 2089123 NIL PDDOM- (NIL T T T) -8 NIL NIL NIL) (-909 2088732 2088765 2088855 "PCOMP" 2088942 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-908 2086910 2087533 2087830 "PBWLB" 2088461 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-907 2079383 2080983 2082321 "PATTERN" 2085593 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-906 2079015 2079072 2079181 "PATTERN2" 2079320 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-905 2076772 2077160 2077617 "PATTERN1" 2078604 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-904 2074140 2074721 2075202 "PATRES" 2076337 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-903 2073704 2073771 2073903 "PATRES2" 2074067 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-902 2071587 2071992 2072399 "PATMATCH" 2073371 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-901 2071083 2071292 2071333 "PATMAB" 2071440 NIL PATMAB (NIL T) -9 NIL 2071523 NIL) (-900 2069601 2069937 2070195 "PATLRES" 2070888 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-899 2069147 2069270 2069311 "PATAB" 2069316 NIL PATAB (NIL T) -9 NIL 2069488 NIL) (-898 2067329 2067724 2068147 "PARTPERM" 2068744 T PARTPERM (NIL) -7 NIL NIL NIL) (-897 2066950 2067013 2067115 "PARSURF" 2067260 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-896 2066582 2066639 2066748 "PARSU2" 2066887 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-895 2066346 2066386 2066453 "PARSER" 2066535 T PARSER (NIL) -7 NIL NIL NIL) (-894 2065967 2066030 2066132 "PARSCURV" 2066277 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-893 2065599 2065656 2065765 "PARSC2" 2065904 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-892 2065238 2065296 2065393 "PARPCURV" 2065535 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-891 2064870 2064927 2065036 "PARPC2" 2065175 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-890 2063931 2064243 2064425 "PARAMAST" 2064708 T PARAMAST (NIL) -8 NIL NIL NIL) (-889 2063451 2063537 2063656 "PAN2EXPR" 2063832 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-888 2062228 2062572 2062800 "PALETTE" 2063243 T PALETTE (NIL) -8 NIL NIL NIL) (-887 2060621 2061233 2061593 "PAIR" 2061914 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-886 2054213 2059878 2060073 "PADICRC" 2060475 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-885 2047129 2053557 2053742 "PADICRAT" 2054060 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-884 2045444 2047066 2047111 "PADIC" 2047116 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-883 2042540 2044104 2044144 "PADICCT" 2044725 NIL PADICCT (NIL NIL) -9 NIL 2045007 NIL) (-882 2041497 2041697 2041965 "PADEPAC" 2042327 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-881 2040709 2040842 2041048 "PADE" 2041359 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-880 2039096 2039917 2040197 "OWP" 2040513 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-879 2038589 2038802 2038899 "OVERSET" 2039019 T OVERSET (NIL) -8 NIL NIL NIL) (-878 2037635 2038194 2038366 "OVAR" 2038457 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-877 2036899 2037020 2037181 "OUT" 2037494 T OUT (NIL) -7 NIL NIL NIL) (-876 2025771 2028008 2030208 "OUTFORM" 2034719 T OUTFORM (NIL) -8 NIL NIL NIL) (-875 2025107 2025368 2025495 "OUTBFILE" 2025664 T OUTBFILE (NIL) -8 NIL NIL NIL) (-874 2024414 2024579 2024607 "OUTBCON" 2024925 T OUTBCON (NIL) -9 NIL 2025091 NIL) (-873 2024015 2024127 2024284 "OUTBCON-" 2024289 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-872 2023395 2023744 2023833 "OSI" 2023946 T OSI (NIL) -8 NIL NIL NIL) (-871 2022898 2023236 2023264 "OSGROUP" 2023269 T OSGROUP (NIL) -9 NIL 2023291 NIL) (-870 2021643 2021870 2022155 "ORTHPOL" 2022645 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-869 2019194 2021478 2021599 "OREUP" 2021604 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-868 2016597 2018885 2019012 "ORESUP" 2019136 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-867 2014125 2014625 2015186 "OREPCTO" 2016086 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-866 2007797 2009998 2010039 "OREPCAT" 2012387 NIL OREPCAT (NIL T) -9 NIL 2013491 NIL) (-865 2004944 2005726 2006784 "OREPCAT-" 2006789 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-864 2004191 2004414 2004442 "ORDTYPE" 2004751 T ORDTYPE (NIL) -9 NIL 2004914 NIL) (-863 2003534 2003708 2003963 "ORDTYPE-" 2003968 NIL ORDTYPE- (NIL T) -8 NIL NIL NIL) (-862 2003148 2003417 2003503 "ORDSTRCT" 2003508 NIL ORDSTRCT (NIL T NIL) -8 NIL NIL NIL) (-861 2002718 2003016 2003044 "ORDSET" 2003049 T ORDSET (NIL) -9 NIL 2003071 NIL) (-860 2001256 2002047 2002075 "ORDRING" 2002277 T ORDRING (NIL) -9 NIL 2002402 NIL) (-859 2000901 2000995 2001139 "ORDRING-" 2001144 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-858 2000254 2000717 2000745 "ORDMON" 2000750 T ORDMON (NIL) -9 NIL 2000771 NIL) (-857 1999416 1999563 1999758 "ORDFUNS" 2000103 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-856 1998727 1999146 1999174 "ORDFIN" 1999239 T ORDFIN (NIL) -9 NIL 1999313 NIL) (-855 1995286 1997313 1997722 "ORDCOMP" 1998351 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-854 1994552 1994679 1994865 "ORDCOMP2" 1995146 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-853 1991133 1992043 1992857 "OPTPROB" 1993758 T OPTPROB (NIL) -8 NIL NIL NIL) (-852 1987935 1988574 1989278 "OPTPACK" 1990449 T OPTPACK (NIL) -7 NIL NIL NIL) (-851 1985608 1986374 1986402 "OPTCAT" 1987221 T OPTCAT (NIL) -9 NIL 1987871 NIL) (-850 1984992 1985285 1985390 "OPSIG" 1985523 T OPSIG (NIL) -8 NIL NIL NIL) (-849 1984760 1984799 1984865 "OPQUERY" 1984946 T OPQUERY (NIL) -7 NIL NIL NIL) (-848 1981891 1983071 1983575 "OP" 1984289 NIL OP (NIL T) -8 NIL NIL NIL) (-847 1981251 1981477 1981518 "OPERCAT" 1981730 NIL OPERCAT (NIL T) -9 NIL 1981827 NIL) (-846 1981006 1981062 1981179 "OPERCAT-" 1981184 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-845 1977819 1979803 1980172 "ONECOMP" 1980670 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-844 1977124 1977239 1977413 "ONECOMP2" 1977691 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-843 1976543 1976649 1976779 "OMSERVER" 1977014 T OMSERVER (NIL) -7 NIL NIL NIL) (-842 1973405 1975983 1976023 "OMSAGG" 1976084 NIL OMSAGG (NIL T) -9 NIL 1976148 NIL) (-841 1972028 1972291 1972573 "OMPKG" 1973143 T OMPKG (NIL) -7 NIL NIL NIL) (-840 1971458 1971561 1971589 "OM" 1971888 T OM (NIL) -9 NIL NIL NIL) (-839 1970005 1971007 1971176 "OMLO" 1971339 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-838 1968965 1969112 1969332 "OMEXPR" 1969831 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-837 1968256 1968511 1968647 "OMERR" 1968849 T OMERR (NIL) -8 NIL NIL NIL) (-836 1967407 1967677 1967837 "OMERRK" 1968116 T OMERRK (NIL) -8 NIL NIL NIL) (-835 1966858 1967084 1967192 "OMENC" 1967319 T OMENC (NIL) -8 NIL NIL NIL) (-834 1960753 1961938 1963109 "OMDEV" 1965707 T OMDEV (NIL) -8 NIL NIL NIL) (-833 1959822 1959993 1960187 "OMCONN" 1960579 T OMCONN (NIL) -8 NIL NIL NIL) (-832 1958316 1959292 1959320 "OINTDOM" 1959325 T OINTDOM (NIL) -9 NIL 1959346 NIL) (-831 1955654 1957004 1957341 "OFMONOID" 1958011 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-830 1955026 1955591 1955636 "ODVAR" 1955641 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-829 1952449 1954771 1954926 "ODR" 1954931 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-828 1944754 1952225 1952351 "ODPOL" 1952356 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-827 1938553 1944626 1944731 "ODP" 1944736 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-826 1937319 1937534 1937809 "ODETOOLS" 1938327 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-825 1934286 1934944 1935660 "ODESYS" 1936652 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-824 1929168 1930076 1931101 "ODERTRIC" 1933361 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-823 1928594 1928676 1928870 "ODERED" 1929080 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-822 1925482 1926030 1926707 "ODERAT" 1928017 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-821 1922441 1922906 1923503 "ODEPRRIC" 1925011 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-820 1920384 1920980 1921466 "ODEPROB" 1921975 T ODEPROB (NIL) -8 NIL NIL NIL) (-819 1916904 1917389 1918036 "ODEPRIM" 1919863 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-818 1916153 1916255 1916515 "ODEPAL" 1916796 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-817 1912315 1913106 1913970 "ODEPACK" 1915309 T ODEPACK (NIL) -7 NIL NIL NIL) (-816 1911376 1911483 1911705 "ODEINT" 1912204 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-815 1905477 1906902 1908349 "ODEIFTBL" 1909949 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-814 1900875 1901661 1902613 "ODEEF" 1904636 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-813 1900224 1900313 1900536 "ODECONST" 1900780 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-812 1898335 1898996 1899024 "ODECAT" 1899629 T ODECAT (NIL) -9 NIL 1900160 NIL) (-811 1895190 1898040 1898162 "OCT" 1898245 NIL OCT (NIL T) -8 NIL NIL NIL) (-810 1894828 1894871 1894998 "OCTCT2" 1895141 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-809 1889435 1891871 1891911 "OC" 1893008 NIL OC (NIL T) -9 NIL 1893866 NIL) (-808 1886662 1887410 1888400 "OC-" 1888494 NIL OC- (NIL T T) -8 NIL NIL NIL) (-807 1885987 1886455 1886483 "OCAMON" 1886488 T OCAMON (NIL) -9 NIL 1886509 NIL) (-806 1885491 1885832 1885860 "OASGP" 1885865 T OASGP (NIL) -9 NIL 1885885 NIL) (-805 1884725 1885214 1885242 "OAMONS" 1885282 T OAMONS (NIL) -9 NIL 1885325 NIL) (-804 1884112 1884545 1884573 "OAMON" 1884578 T OAMON (NIL) -9 NIL 1884598 NIL) (-803 1883343 1883861 1883889 "OAGROUP" 1883894 T OAGROUP (NIL) -9 NIL 1883914 NIL) (-802 1883033 1883083 1883171 "NUMTUBE" 1883287 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-801 1876606 1878124 1879660 "NUMQUAD" 1881517 T NUMQUAD (NIL) -7 NIL NIL NIL) (-800 1872362 1873350 1874375 "NUMODE" 1875601 T NUMODE (NIL) -7 NIL NIL NIL) (-799 1869703 1870583 1870611 "NUMINT" 1871534 T NUMINT (NIL) -9 NIL 1872298 NIL) (-798 1868651 1868848 1869066 "NUMFMT" 1869505 T NUMFMT (NIL) -7 NIL NIL NIL) (-797 1855010 1857955 1860487 "NUMERIC" 1866158 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-796 1849380 1854459 1854554 "NTSCAT" 1854559 NIL NTSCAT (NIL T T T T) -9 NIL 1854598 NIL) (-795 1848574 1848739 1848932 "NTPOLFN" 1849219 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-794 1836375 1845399 1846211 "NSUP" 1847795 NIL NSUP (NIL T) -8 NIL NIL NIL) (-793 1836007 1836064 1836173 "NSUP2" 1836312 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-792 1825957 1835781 1835914 "NSMP" 1835919 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-791 1824389 1824690 1825047 "NREP" 1825645 NIL NREP (NIL T) -7 NIL NIL NIL) (-790 1822980 1823232 1823590 "NPCOEF" 1824132 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-789 1822046 1822161 1822377 "NORMRETR" 1822861 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-788 1820087 1820377 1820786 "NORMPK" 1821754 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-787 1819772 1819800 1819924 "NORMMA" 1820053 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-786 1819572 1819729 1819758 "NONE" 1819763 T NONE (NIL) -8 NIL NIL NIL) (-785 1819361 1819390 1819459 "NONE1" 1819536 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-784 1818858 1818920 1819099 "NODE1" 1819293 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-783 1817139 1817990 1818245 "NNI" 1818592 T NNI (NIL) -8 NIL NIL 1818827) (-782 1815559 1815872 1816236 "NLINSOL" 1816807 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-781 1811800 1812795 1813694 "NIPROB" 1814680 T NIPROB (NIL) -8 NIL NIL NIL) (-780 1810557 1810791 1811093 "NFINTBAS" 1811562 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-779 1809731 1810207 1810248 "NETCLT" 1810420 NIL NETCLT (NIL T) -9 NIL 1810502 NIL) (-778 1808439 1808670 1808951 "NCODIV" 1809499 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-777 1808201 1808238 1808313 "NCNTFRAC" 1808396 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-776 1806381 1806745 1807165 "NCEP" 1807826 NIL NCEP (NIL T) -7 NIL NIL NIL) (-775 1805218 1805991 1806019 "NASRING" 1806129 T NASRING (NIL) -9 NIL 1806209 NIL) (-774 1805013 1805057 1805151 "NASRING-" 1805156 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-773 1804106 1804631 1804659 "NARNG" 1804776 T NARNG (NIL) -9 NIL 1804867 NIL) (-772 1803798 1803865 1803999 "NARNG-" 1804004 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-771 1802677 1802884 1803119 "NAGSP" 1803583 T NAGSP (NIL) -7 NIL NIL NIL) (-770 1793949 1795633 1797306 "NAGS" 1801024 T NAGS (NIL) -7 NIL NIL NIL) (-769 1792497 1792805 1793136 "NAGF07" 1793638 T NAGF07 (NIL) -7 NIL NIL NIL) (-768 1787035 1788326 1789633 "NAGF04" 1791210 T NAGF04 (NIL) -7 NIL NIL NIL) (-767 1780003 1781617 1783250 "NAGF02" 1785422 T NAGF02 (NIL) -7 NIL NIL NIL) (-766 1775227 1776327 1777444 "NAGF01" 1778906 T NAGF01 (NIL) -7 NIL NIL NIL) (-765 1768855 1770421 1772006 "NAGE04" 1773662 T NAGE04 (NIL) -7 NIL NIL NIL) (-764 1760024 1762145 1764275 "NAGE02" 1766745 T NAGE02 (NIL) -7 NIL NIL NIL) (-763 1755977 1756924 1757888 "NAGE01" 1759080 T NAGE01 (NIL) -7 NIL NIL NIL) (-762 1753772 1754306 1754864 "NAGD03" 1755439 T NAGD03 (NIL) -7 NIL NIL NIL) (-761 1745522 1747450 1749404 "NAGD02" 1751838 T NAGD02 (NIL) -7 NIL NIL NIL) (-760 1739333 1740758 1742198 "NAGD01" 1744102 T NAGD01 (NIL) -7 NIL NIL NIL) (-759 1735542 1736364 1737201 "NAGC06" 1738516 T NAGC06 (NIL) -7 NIL NIL NIL) (-758 1734007 1734339 1734695 "NAGC05" 1735206 T NAGC05 (NIL) -7 NIL NIL NIL) (-757 1733383 1733502 1733646 "NAGC02" 1733883 T NAGC02 (NIL) -7 NIL NIL NIL) (-756 1732328 1732911 1732951 "NAALG" 1733030 NIL NAALG (NIL T) -9 NIL 1733091 NIL) (-755 1732163 1732192 1732282 "NAALG-" 1732287 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-754 1726113 1727221 1728408 "MULTSQFR" 1731059 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-753 1725432 1725507 1725691 "MULTFACT" 1726025 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-752 1718103 1722017 1722070 "MTSCAT" 1723140 NIL MTSCAT (NIL T T) -9 NIL 1723655 NIL) (-751 1717815 1717869 1717961 "MTHING" 1718043 NIL MTHING (NIL T) -7 NIL NIL NIL) (-750 1717607 1717640 1717700 "MSYSCMD" 1717775 T MSYSCMD (NIL) -7 NIL NIL NIL) (-749 1713689 1716362 1716682 "MSET" 1717320 NIL MSET (NIL T) -8 NIL NIL NIL) (-748 1710758 1713250 1713291 "MSETAGG" 1713296 NIL MSETAGG (NIL T) -9 NIL 1713330 NIL) (-747 1706600 1708137 1708882 "MRING" 1710058 NIL MRING (NIL T T) -8 NIL NIL NIL) (-746 1706166 1706233 1706364 "MRF2" 1706527 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-745 1705784 1705819 1705963 "MRATFAC" 1706125 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-744 1703396 1703691 1704122 "MPRFF" 1705489 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-743 1697417 1703250 1703347 "MPOLY" 1703352 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-742 1696907 1696942 1697150 "MPCPF" 1697376 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-741 1696421 1696464 1696648 "MPC3" 1696858 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-740 1695616 1695697 1695918 "MPC2" 1696336 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-739 1693917 1694254 1694644 "MONOTOOL" 1695276 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-738 1693128 1693445 1693473 "MONOID" 1693692 T MONOID (NIL) -9 NIL 1693839 NIL) (-737 1692674 1692793 1692974 "MONOID-" 1692979 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-736 1682264 1688494 1688553 "MONOGEN" 1689227 NIL MONOGEN (NIL T T) -9 NIL 1689683 NIL) (-735 1679482 1680217 1681217 "MONOGEN-" 1681336 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-734 1678301 1678747 1678775 "MONADWU" 1679167 T MONADWU (NIL) -9 NIL 1679405 NIL) (-733 1677673 1677832 1678080 "MONADWU-" 1678085 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-732 1677018 1677262 1677290 "MONAD" 1677497 T MONAD (NIL) -9 NIL 1677609 NIL) (-731 1676703 1676781 1676913 "MONAD-" 1676918 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-730 1674992 1675616 1675895 "MOEBIUS" 1676456 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-729 1674256 1674660 1674700 "MODULE" 1674705 NIL MODULE (NIL T) -9 NIL 1674744 NIL) (-728 1673824 1673920 1674110 "MODULE-" 1674115 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-727 1671504 1672188 1672515 "MODRING" 1673648 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-726 1668448 1669609 1670130 "MODOP" 1671033 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-725 1667036 1667515 1667792 "MODMONOM" 1668311 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-724 1656804 1665327 1665741 "MODMON" 1666673 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-723 1653960 1655648 1655924 "MODFIELD" 1656679 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-722 1652937 1653241 1653431 "MMLFORM" 1653790 T MMLFORM (NIL) -8 NIL NIL NIL) (-721 1652463 1652506 1652685 "MMAP" 1652888 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-720 1650528 1651295 1651336 "MLO" 1651759 NIL MLO (NIL T) -9 NIL 1652001 NIL) (-719 1647894 1648410 1649012 "MLIFT" 1650009 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-718 1647285 1647369 1647523 "MKUCFUNC" 1647805 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-717 1646884 1646954 1647077 "MKRECORD" 1647208 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-716 1645931 1646093 1646321 "MKFUNC" 1646695 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-715 1645319 1645423 1645579 "MKFLCFN" 1645814 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-714 1644596 1644698 1644883 "MKBCFUNC" 1645212 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-713 1641185 1644150 1644286 "MINT" 1644480 T MINT (NIL) -8 NIL NIL NIL) (-712 1639997 1640240 1640517 "MHROWRED" 1640940 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-711 1635377 1638532 1638937 "MFLOAT" 1639612 T MFLOAT (NIL) -8 NIL NIL NIL) (-710 1634734 1634810 1634981 "MFINFACT" 1635289 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-709 1631049 1631897 1632781 "MESH" 1633870 T MESH (NIL) -7 NIL NIL NIL) (-708 1629439 1629751 1630104 "MDDFACT" 1630736 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-707 1626209 1628570 1628611 "MDAGG" 1628866 NIL MDAGG (NIL T) -9 NIL 1629009 NIL) (-706 1614903 1625502 1625709 "MCMPLX" 1626022 T MCMPLX (NIL) -8 NIL NIL NIL) (-705 1614040 1614186 1614387 "MCDEN" 1614752 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-704 1611930 1612200 1612580 "MCALCFN" 1613770 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-703 1610855 1611095 1611328 "MAYBE" 1611736 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-702 1608467 1608990 1609552 "MATSTOR" 1610326 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-701 1604379 1607839 1608087 "MATRIX" 1608252 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-700 1600145 1600852 1601588 "MATLIN" 1603736 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-699 1589971 1593202 1593279 "MATCAT" 1598311 NIL MATCAT (NIL T T T) -9 NIL 1599783 NIL) (-698 1586164 1587234 1588647 "MATCAT-" 1588652 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-697 1584758 1584911 1585244 "MATCAT2" 1585999 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-696 1582870 1583194 1583578 "MAPPKG3" 1584433 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-695 1581851 1582024 1582246 "MAPPKG2" 1582694 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-694 1580350 1580634 1580961 "MAPPKG1" 1581557 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-693 1579429 1579756 1579933 "MAPPAST" 1580193 T MAPPAST (NIL) -8 NIL NIL NIL) (-692 1579040 1579098 1579221 "MAPHACK3" 1579365 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-691 1578632 1578693 1578807 "MAPHACK2" 1578972 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-690 1578070 1578173 1578315 "MAPHACK1" 1578523 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-689 1576149 1576770 1577074 "MAGMA" 1577798 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-688 1575628 1575873 1575964 "MACROAST" 1576078 T MACROAST (NIL) -8 NIL NIL NIL) (-687 1572049 1573867 1574328 "M3D" 1575200 NIL M3D (NIL T) -8 NIL NIL NIL) (-686 1566099 1570360 1570401 "LZSTAGG" 1571183 NIL LZSTAGG (NIL T) -9 NIL 1571478 NIL) (-685 1562057 1563230 1564687 "LZSTAGG-" 1564692 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-684 1559144 1559948 1560435 "LWORD" 1561602 NIL LWORD (NIL T) -8 NIL NIL NIL) (-683 1558720 1558948 1559023 "LSTAST" 1559089 T LSTAST (NIL) -8 NIL NIL NIL) (-682 1551610 1558491 1558625 "LSQM" 1558630 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-681 1550834 1550973 1551201 "LSPP" 1551465 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-680 1548646 1548947 1549403 "LSMP" 1550523 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-679 1545425 1546099 1546829 "LSMP1" 1547948 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-678 1539227 1544515 1544556 "LSAGG" 1544618 NIL LSAGG (NIL T) -9 NIL 1544696 NIL) (-677 1535922 1536846 1538059 "LSAGG-" 1538064 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-676 1533521 1535066 1535315 "LPOLY" 1535717 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-675 1533103 1533188 1533311 "LPEFRAC" 1533430 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-674 1531424 1532197 1532450 "LO" 1532935 NIL LO (NIL T T T) -8 NIL NIL NIL) (-673 1531036 1531174 1531202 "LOGIC" 1531313 T LOGIC (NIL) -9 NIL 1531394 NIL) (-672 1530898 1530921 1530992 "LOGIC-" 1530997 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-671 1530091 1530231 1530424 "LODOOPS" 1530754 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-670 1527514 1530007 1530073 "LODO" 1530078 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-669 1526052 1526287 1526640 "LODOF" 1527261 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-668 1522256 1524687 1524728 "LODOCAT" 1525166 NIL LODOCAT (NIL T) -9 NIL 1525377 NIL) (-667 1521989 1522047 1522174 "LODOCAT-" 1522179 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-666 1519309 1521830 1521948 "LODO2" 1521953 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-665 1516744 1519246 1519291 "LODO1" 1519296 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-664 1515625 1515790 1516095 "LODEEF" 1516567 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-663 1510903 1513791 1513832 "LNAGG" 1514694 NIL LNAGG (NIL T) -9 NIL 1515129 NIL) (-662 1510050 1510264 1510606 "LNAGG-" 1510611 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-661 1506186 1506975 1507614 "LMOPS" 1509465 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-660 1505575 1505963 1506004 "LMODULE" 1506009 NIL LMODULE (NIL T) -9 NIL 1506035 NIL) (-659 1502776 1505220 1505343 "LMDICT" 1505485 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-658 1502394 1502566 1502607 "LLINSET" 1502668 NIL LLINSET (NIL T) -9 NIL 1502712 NIL) (-657 1502093 1502302 1502362 "LITERAL" 1502367 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-656 1495259 1501027 1501331 "LIST" 1501822 NIL LIST (NIL T) -8 NIL NIL NIL) (-655 1494784 1494858 1494997 "LIST3" 1495179 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-654 1493791 1493969 1494197 "LIST2" 1494602 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-653 1491925 1492237 1492636 "LIST2MAP" 1493438 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-652 1491556 1491744 1491785 "LINSET" 1491790 NIL LINSET (NIL T) -9 NIL 1491824 NIL) (-651 1489969 1490583 1490624 "LINEXP" 1491114 NIL LINEXP (NIL T) -9 NIL 1491387 NIL) (-650 1488546 1488806 1489117 "LINDEP" 1489721 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-649 1485313 1486032 1486809 "LIMITRF" 1487801 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-648 1483616 1483912 1484321 "LIMITPS" 1485008 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-647 1478044 1483127 1483355 "LIE" 1483437 NIL LIE (NIL T T) -8 NIL NIL NIL) (-646 1476978 1477447 1477487 "LIECAT" 1477627 NIL LIECAT (NIL T) -9 NIL 1477778 NIL) (-645 1476819 1476846 1476934 "LIECAT-" 1476939 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-644 1469412 1476359 1476515 "LIB" 1476683 T LIB (NIL) -8 NIL NIL NIL) (-643 1465047 1465930 1466865 "LGROBP" 1468529 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-642 1463045 1463319 1463669 "LF" 1464768 NIL LF (NIL T T) -7 NIL NIL NIL) (-641 1461885 1462577 1462605 "LFCAT" 1462812 T LFCAT (NIL) -9 NIL 1462951 NIL) (-640 1458787 1459417 1460105 "LEXTRIPK" 1461249 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-639 1455531 1456357 1456860 "LEXP" 1458367 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-638 1455007 1455252 1455344 "LETAST" 1455459 T LETAST (NIL) -8 NIL NIL NIL) (-637 1453405 1453718 1454119 "LEADCDET" 1454689 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-636 1452595 1452669 1452898 "LAZM3PK" 1453326 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-635 1447512 1450672 1451210 "LAUPOL" 1452107 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-634 1447091 1447135 1447296 "LAPLACE" 1447462 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-633 1445030 1446192 1446443 "LA" 1446924 NIL LA (NIL T T T) -8 NIL NIL NIL) (-632 1444010 1444594 1444635 "LALG" 1444697 NIL LALG (NIL T) -9 NIL 1444756 NIL) (-631 1443724 1443783 1443919 "LALG-" 1443924 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-630 1443559 1443583 1443624 "KVTFROM" 1443686 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-629 1442482 1442926 1443111 "KTVLOGIC" 1443394 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-628 1442317 1442341 1442382 "KRCFROM" 1442444 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-627 1441221 1441408 1441707 "KOVACIC" 1442117 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-626 1441056 1441080 1441121 "KONVERT" 1441183 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-625 1440891 1440915 1440956 "KOERCE" 1441018 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-624 1438722 1439484 1439861 "KERNEL" 1440547 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-623 1438218 1438299 1438431 "KERNEL2" 1438636 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-622 1431929 1436695 1436749 "KDAGG" 1437126 NIL KDAGG (NIL T T) -9 NIL 1437332 NIL) (-621 1431458 1431582 1431787 "KDAGG-" 1431792 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-620 1424606 1431119 1431274 "KAFILE" 1431336 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-619 1419034 1424117 1424345 "JORDAN" 1424427 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-618 1418413 1418683 1418804 "JOINAST" 1418933 T JOINAST (NIL) -8 NIL NIL NIL) (-617 1418259 1418318 1418373 "JAVACODE" 1418378 T JAVACODE (NIL) -8 NIL NIL NIL) (-616 1414486 1416436 1416490 "IXAGG" 1417419 NIL IXAGG (NIL T T) -9 NIL 1417878 NIL) (-615 1413405 1413711 1414130 "IXAGG-" 1414135 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-614 1408938 1413327 1413386 "IVECTOR" 1413391 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-613 1407704 1407941 1408207 "ITUPLE" 1408705 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-612 1406206 1406383 1406678 "ITRIGMNP" 1407526 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-611 1404951 1405155 1405438 "ITFUN3" 1405982 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-610 1404583 1404640 1404749 "ITFUN2" 1404888 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-609 1403742 1404063 1404237 "ITFORM" 1404429 T ITFORM (NIL) -8 NIL NIL NIL) (-608 1401703 1402762 1403040 "ITAYLOR" 1403497 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-607 1390648 1395840 1397003 "ISUPS" 1400573 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-606 1389752 1389892 1390128 "ISUMP" 1390495 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-605 1385130 1389697 1389738 "ISTRING" 1389743 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-604 1384606 1384851 1384943 "ISAST" 1385058 T ISAST (NIL) -8 NIL NIL NIL) (-603 1383815 1383897 1384113 "IRURPK" 1384520 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-602 1382751 1382952 1383192 "IRSN" 1383595 T IRSN (NIL) -7 NIL NIL NIL) (-601 1380822 1381177 1381606 "IRRF2F" 1382389 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-600 1380569 1380607 1380683 "IRREDFFX" 1380778 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-599 1379184 1379443 1379742 "IROOT" 1380302 NIL IROOT (NIL T) -7 NIL NIL NIL) (-598 1375788 1376868 1377560 "IR" 1378524 NIL IR (NIL T) -8 NIL NIL NIL) (-597 1374993 1375281 1375432 "IRFORM" 1375657 T IRFORM (NIL) -8 NIL NIL NIL) (-596 1372606 1373101 1373667 "IR2" 1374471 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-595 1371706 1371819 1372033 "IR2F" 1372489 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-594 1371497 1371531 1371591 "IPRNTPK" 1371666 T IPRNTPK (NIL) -7 NIL NIL NIL) (-593 1368078 1371386 1371455 "IPF" 1371460 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-592 1366405 1368003 1368060 "IPADIC" 1368065 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-591 1365717 1365965 1366095 "IP4ADDR" 1366295 T IP4ADDR (NIL) -8 NIL NIL NIL) (-590 1365091 1365346 1365478 "IOMODE" 1365605 T IOMODE (NIL) -8 NIL NIL NIL) (-589 1364164 1364688 1364815 "IOBFILE" 1364984 T IOBFILE (NIL) -8 NIL NIL NIL) (-588 1363652 1364068 1364096 "IOBCON" 1364101 T IOBCON (NIL) -9 NIL 1364122 NIL) (-587 1363163 1363221 1363404 "INVLAPLA" 1363588 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-586 1352811 1355165 1357551 "INTTR" 1360827 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-585 1349146 1349888 1350753 "INTTOOLS" 1351996 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-584 1348732 1348823 1348940 "INTSLPE" 1349049 T INTSLPE (NIL) -7 NIL NIL NIL) (-583 1346685 1348655 1348714 "INTRVL" 1348719 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-582 1344287 1344799 1345374 "INTRF" 1346170 NIL INTRF (NIL T) -7 NIL NIL NIL) (-581 1343698 1343795 1343937 "INTRET" 1344185 NIL INTRET (NIL T) -7 NIL NIL NIL) (-580 1341695 1342084 1342554 "INTRAT" 1343306 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-579 1338958 1339541 1340160 "INTPM" 1341180 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-578 1335703 1336302 1337040 "INTPAF" 1338344 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-577 1330882 1331844 1332895 "INTPACK" 1334672 T INTPACK (NIL) -7 NIL NIL NIL) (-576 1327694 1330679 1330788 "INT" 1330793 T INT (NIL) -8 NIL NIL NIL) (-575 1326946 1327098 1327306 "INTHERTR" 1327536 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-574 1326385 1326465 1326653 "INTHERAL" 1326860 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-573 1324231 1324674 1325131 "INTHEORY" 1325948 T INTHEORY (NIL) -7 NIL NIL NIL) (-572 1315637 1317258 1319030 "INTG0" 1322583 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-571 1296210 1301000 1305810 "INTFTBL" 1310847 T INTFTBL (NIL) -8 NIL NIL NIL) (-570 1295459 1295597 1295770 "INTFACT" 1296069 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-569 1292886 1293332 1293889 "INTEF" 1295013 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-568 1291239 1291978 1292006 "INTDOM" 1292307 T INTDOM (NIL) -9 NIL 1292514 NIL) (-567 1290608 1290782 1291024 "INTDOM-" 1291029 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-566 1286968 1288897 1288951 "INTCAT" 1289750 NIL INTCAT (NIL T) -9 NIL 1290071 NIL) (-565 1286440 1286543 1286671 "INTBIT" 1286860 T INTBIT (NIL) -7 NIL NIL NIL) (-564 1285139 1285293 1285600 "INTALG" 1286285 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-563 1284622 1284712 1284869 "INTAF" 1285043 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-562 1277971 1284432 1284572 "INTABL" 1284577 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-561 1277304 1277770 1277835 "INT8" 1277869 T INT8 (NIL) -8 NIL NIL 1277914) (-560 1276636 1277102 1277167 "INT64" 1277201 T INT64 (NIL) -8 NIL NIL 1277246) (-559 1275968 1276434 1276499 "INT32" 1276533 T INT32 (NIL) -8 NIL NIL 1276578) (-558 1275300 1275766 1275831 "INT16" 1275865 T INT16 (NIL) -8 NIL NIL 1275910) (-557 1269995 1272848 1272876 "INS" 1273810 T INS (NIL) -9 NIL 1274475 NIL) (-556 1267235 1268006 1268980 "INS-" 1269053 NIL INS- (NIL T) -8 NIL NIL NIL) (-555 1266010 1266237 1266535 "INPSIGN" 1266988 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-554 1265128 1265245 1265442 "INPRODPF" 1265890 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-553 1264022 1264139 1264376 "INPRODFF" 1265008 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-552 1263022 1263174 1263434 "INNMFACT" 1263858 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-551 1262219 1262316 1262504 "INMODGCD" 1262921 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-550 1260727 1260972 1261296 "INFSP" 1261964 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-549 1259911 1260028 1260211 "INFPROD0" 1260607 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-548 1256766 1257976 1258491 "INFORM" 1259404 T INFORM (NIL) -8 NIL NIL NIL) (-547 1256376 1256436 1256534 "INFORM1" 1256701 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-546 1255899 1255988 1256102 "INFINITY" 1256282 T INFINITY (NIL) -7 NIL NIL NIL) (-545 1255075 1255619 1255720 "INETCLTS" 1255818 T INETCLTS (NIL) -8 NIL NIL NIL) (-544 1253691 1253941 1254262 "INEP" 1254823 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-543 1252896 1253588 1253653 "INDE" 1253658 NIL INDE (NIL T) -8 NIL NIL NIL) (-542 1252460 1252528 1252645 "INCRMAPS" 1252823 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-541 1251278 1251729 1251935 "INBFILE" 1252274 T INBFILE (NIL) -8 NIL NIL NIL) (-540 1246577 1247514 1248458 "INBFF" 1250366 NIL INBFF (NIL T) -7 NIL NIL NIL) (-539 1245485 1245754 1245782 "INBCON" 1246295 T INBCON (NIL) -9 NIL 1246561 NIL) (-538 1244737 1244960 1245236 "INBCON-" 1245241 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-537 1244216 1244461 1244552 "INAST" 1244666 T INAST (NIL) -8 NIL NIL NIL) (-536 1243643 1243895 1244001 "IMPTAST" 1244130 T IMPTAST (NIL) -8 NIL NIL NIL) (-535 1240044 1243487 1243591 "IMATRIX" 1243596 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-534 1238752 1238875 1239191 "IMATQF" 1239900 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-533 1236972 1237199 1237536 "IMATLIN" 1238508 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-532 1231553 1236896 1236954 "ILIST" 1236959 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-531 1229461 1231413 1231526 "IIARRAY2" 1231531 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-530 1224859 1229372 1229436 "IFF" 1229441 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-529 1224206 1224476 1224592 "IFAST" 1224763 T IFAST (NIL) -8 NIL NIL NIL) (-528 1219204 1223498 1223686 "IFARRAY" 1224063 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-527 1218384 1219108 1219181 "IFAMON" 1219186 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-526 1217968 1218033 1218087 "IEVALAB" 1218294 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-525 1217643 1217711 1217871 "IEVALAB-" 1217876 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-524 1217233 1217557 1217620 "IDPO" 1217625 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-523 1216441 1217122 1217197 "IDPOAMS" 1217202 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-522 1215706 1216330 1216405 "IDPOAM" 1216410 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-521 1214563 1214880 1214933 "IDPC" 1215451 NIL IDPC (NIL T T) -9 NIL 1215642 NIL) (-520 1213990 1214455 1214528 "IDPAM" 1214533 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-519 1213324 1213882 1213955 "IDPAG" 1213960 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-518 1212969 1213160 1213235 "IDENT" 1213269 T IDENT (NIL) -8 NIL NIL NIL) (-517 1209224 1210072 1210967 "IDECOMP" 1212126 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-516 1202061 1203147 1204194 "IDEAL" 1208260 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-515 1201221 1201333 1201533 "ICDEN" 1201945 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-514 1200292 1200701 1200848 "ICARD" 1201094 T ICARD (NIL) -8 NIL NIL NIL) (-513 1198352 1198665 1199070 "IBPTOOLS" 1199969 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-512 1193959 1197972 1198085 "IBITS" 1198271 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-511 1190682 1191258 1191953 "IBATOOL" 1193376 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-510 1188461 1188923 1189456 "IBACHIN" 1190217 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-509 1186293 1188307 1188410 "IARRAY2" 1188415 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-508 1182402 1186219 1186276 "IARRAY1" 1186281 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-507 1176262 1180814 1181295 "IAN" 1181941 T IAN (NIL) -8 NIL NIL NIL) (-506 1175773 1175830 1176003 "IALGFACT" 1176199 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-505 1175301 1175414 1175442 "HYPCAT" 1175649 T HYPCAT (NIL) -9 NIL NIL NIL) (-504 1174839 1174956 1175142 "HYPCAT-" 1175147 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-503 1174434 1174634 1174717 "HOSTNAME" 1174776 T HOSTNAME (NIL) -8 NIL NIL NIL) (-502 1174279 1174316 1174357 "HOMOTOP" 1174362 NIL HOMOTOP (NIL T) -9 NIL 1174395 NIL) (-501 1170836 1172211 1172252 "HOAGG" 1173233 NIL HOAGG (NIL T) -9 NIL 1173962 NIL) (-500 1169430 1169829 1170355 "HOAGG-" 1170360 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-499 1163146 1169023 1169173 "HEXADEC" 1169300 T HEXADEC (NIL) -8 NIL NIL NIL) (-498 1161894 1162116 1162379 "HEUGCD" 1162923 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-497 1160970 1161731 1161861 "HELLFDIV" 1161866 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-496 1159152 1160747 1160835 "HEAP" 1160914 NIL HEAP (NIL T) -8 NIL NIL NIL) (-495 1158415 1158704 1158838 "HEADAST" 1159038 T HEADAST (NIL) -8 NIL NIL NIL) (-494 1152258 1158330 1158392 "HDP" 1158397 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-493 1145970 1151893 1152045 "HDMP" 1152159 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-492 1145294 1145434 1145598 "HB" 1145826 T HB (NIL) -7 NIL NIL NIL) (-491 1138686 1145140 1145244 "HASHTBL" 1145249 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-490 1138162 1138407 1138499 "HASAST" 1138614 T HASAST (NIL) -8 NIL NIL NIL) (-489 1135940 1137784 1137966 "HACKPI" 1138000 T HACKPI (NIL) -8 NIL NIL NIL) (-488 1131608 1135793 1135906 "GTSET" 1135911 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-487 1125029 1131486 1131584 "GSTBL" 1131589 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-486 1117416 1124194 1124450 "GSERIES" 1124829 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-485 1116543 1116960 1116988 "GROUP" 1117191 T GROUP (NIL) -9 NIL 1117325 NIL) (-484 1115909 1116068 1116319 "GROUP-" 1116324 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-483 1114276 1114597 1114984 "GROEBSOL" 1115586 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-482 1113176 1113464 1113515 "GRMOD" 1114044 NIL GRMOD (NIL T T) -9 NIL 1114212 NIL) (-481 1112944 1112980 1113108 "GRMOD-" 1113113 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-480 1108234 1109298 1110298 "GRIMAGE" 1111964 T GRIMAGE (NIL) -8 NIL NIL NIL) (-479 1106700 1106961 1107285 "GRDEF" 1107930 T GRDEF (NIL) -7 NIL NIL NIL) (-478 1106144 1106260 1106401 "GRAY" 1106579 T GRAY (NIL) -7 NIL NIL NIL) (-477 1105317 1105723 1105774 "GRALG" 1105927 NIL GRALG (NIL T T) -9 NIL 1106020 NIL) (-476 1104978 1105051 1105214 "GRALG-" 1105219 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-475 1101755 1104563 1104741 "GPOLSET" 1104885 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-474 1101109 1101166 1101424 "GOSPER" 1101692 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-473 1096841 1097547 1098073 "GMODPOL" 1100808 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-472 1095846 1096030 1096268 "GHENSEL" 1096653 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-471 1090002 1090845 1091865 "GENUPS" 1094930 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-470 1089699 1089750 1089839 "GENUFACT" 1089945 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-469 1089111 1089188 1089353 "GENPGCD" 1089617 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-468 1088585 1088620 1088833 "GENMFACT" 1089070 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-467 1087151 1087408 1087715 "GENEEZ" 1088328 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-466 1081023 1086762 1086924 "GDMP" 1087074 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-465 1070366 1074794 1075900 "GCNAALG" 1080006 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-464 1068679 1069541 1069569 "GCDDOM" 1069824 T GCDDOM (NIL) -9 NIL 1069981 NIL) (-463 1068149 1068276 1068491 "GCDDOM-" 1068496 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-462 1066821 1067006 1067310 "GB" 1067928 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-461 1055437 1057767 1060159 "GBINTERN" 1064512 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-460 1053274 1053566 1053987 "GBF" 1055112 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-459 1052055 1052220 1052487 "GBEUCLID" 1053090 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-458 1051404 1051529 1051678 "GAUSSFAC" 1051926 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-457 1049771 1050073 1050387 "GALUTIL" 1051123 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-456 1048079 1048353 1048677 "GALPOLYU" 1049498 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-455 1045444 1045734 1046141 "GALFACTU" 1047776 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-454 1037250 1038749 1040357 "GALFACT" 1043876 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-453 1034638 1035296 1035324 "FVFUN" 1036480 T FVFUN (NIL) -9 NIL 1037200 NIL) (-452 1033904 1034086 1034114 "FVC" 1034405 T FVC (NIL) -9 NIL 1034588 NIL) (-451 1033547 1033729 1033797 "FUNDESC" 1033856 T FUNDESC (NIL) -8 NIL NIL NIL) (-450 1033162 1033344 1033425 "FUNCTION" 1033499 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-449 1030906 1031484 1031950 "FT" 1032716 T FT (NIL) -8 NIL NIL NIL) (-448 1029697 1030207 1030410 "FTEM" 1030723 T FTEM (NIL) -8 NIL NIL NIL) (-447 1027988 1028277 1028674 "FSUPFACT" 1029388 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-446 1026385 1026674 1027006 "FST" 1027676 T FST (NIL) -8 NIL NIL NIL) (-445 1025584 1025690 1025878 "FSRED" 1026267 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-444 1024283 1024539 1024886 "FSPRMELT" 1025299 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-443 1021589 1022027 1022513 "FSPECF" 1023846 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-442 1002654 1011363 1011404 "FS" 1015288 NIL FS (NIL T) -9 NIL 1017577 NIL) (-441 991297 994290 998347 "FS-" 998647 NIL FS- (NIL T T) -8 NIL NIL NIL) (-440 990825 990879 991049 "FSINT" 991238 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-439 989117 989818 990121 "FSERIES" 990604 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-438 988159 988275 988499 "FSCINT" 988997 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-437 984367 987103 987144 "FSAGG" 987514 NIL FSAGG (NIL T) -9 NIL 987773 NIL) (-436 982129 982730 983526 "FSAGG-" 983621 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-435 981171 981314 981541 "FSAGG2" 981982 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-434 978849 979129 979677 "FS2UPS" 980889 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-433 978483 978526 978655 "FS2" 978800 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-432 977361 977532 977834 "FS2EXPXP" 978308 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-431 976787 976902 977054 "FRUTIL" 977241 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-430 968200 972282 973640 "FR" 975461 NIL FR (NIL T) -8 NIL NIL NIL) (-429 963214 965889 965929 "FRNAALG" 967249 NIL FRNAALG (NIL T) -9 NIL 967847 NIL) (-428 958887 959963 961238 "FRNAALG-" 961988 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-427 958525 958568 958695 "FRNAAF2" 958838 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-426 956900 957374 957670 "FRMOD" 958337 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-425 954643 955275 955593 "FRIDEAL" 956691 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-424 953834 953921 954212 "FRIDEAL2" 954550 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-423 952967 953381 953422 "FRETRCT" 953427 NIL FRETRCT (NIL T) -9 NIL 953603 NIL) (-422 952079 952310 952661 "FRETRCT-" 952666 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-421 949153 950363 950422 "FRAMALG" 951304 NIL FRAMALG (NIL T T) -9 NIL 951596 NIL) (-420 947287 947742 948372 "FRAMALG-" 948595 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-419 940930 946760 947037 "FRAC" 947042 NIL FRAC (NIL T) -8 NIL NIL NIL) (-418 940566 940623 940730 "FRAC2" 940867 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-417 940202 940259 940366 "FR2" 940503 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-416 934687 937581 937609 "FPS" 938728 T FPS (NIL) -9 NIL 939285 NIL) (-415 934136 934245 934409 "FPS-" 934555 NIL FPS- (NIL T) -8 NIL NIL NIL) (-414 931424 933093 933121 "FPC" 933346 T FPC (NIL) -9 NIL 933488 NIL) (-413 931217 931257 931354 "FPC-" 931359 NIL FPC- (NIL T) -8 NIL NIL NIL) (-412 930007 930705 930746 "FPATMAB" 930751 NIL FPATMAB (NIL T) -9 NIL 930903 NIL) (-411 928246 928749 929096 "FPARFRAC" 929723 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-410 923640 924138 924820 "FORTRAN" 927678 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-409 921356 921856 922395 "FORT" 923121 T FORT (NIL) -7 NIL NIL NIL) (-408 919032 919594 919622 "FORTFN" 920682 T FORTFN (NIL) -9 NIL 921306 NIL) (-407 918796 918846 918874 "FORTCAT" 918933 T FORTCAT (NIL) -9 NIL 918995 NIL) (-406 916902 917412 917802 "FORMULA" 918426 T FORMULA (NIL) -8 NIL NIL NIL) (-405 916690 916720 916789 "FORMULA1" 916866 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-404 916213 916265 916438 "FORDER" 916632 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-403 915309 915473 915666 "FOP" 916040 T FOP (NIL) -7 NIL NIL NIL) (-402 913890 914589 914763 "FNLA" 915191 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-401 912605 913020 913048 "FNCAT" 913508 T FNCAT (NIL) -9 NIL 913768 NIL) (-400 912144 912564 912592 "FNAME" 912597 T FNAME (NIL) -8 NIL NIL NIL) (-399 910680 911643 911671 "FMTC" 911676 T FMTC (NIL) -9 NIL 911712 NIL) (-398 909426 910616 910662 "FMONOID" 910667 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-397 906213 907381 907422 "FMONCAT" 908639 NIL FMONCAT (NIL T) -9 NIL 909244 NIL) (-396 905363 905955 906104 "FM" 906109 NIL FM (NIL T T) -8 NIL NIL NIL) (-395 902787 903433 903461 "FMFUN" 904605 T FMFUN (NIL) -9 NIL 905313 NIL) (-394 902056 902237 902265 "FMC" 902555 T FMC (NIL) -9 NIL 902737 NIL) (-393 899121 899981 900035 "FMCAT" 901230 NIL FMCAT (NIL T T) -9 NIL 901725 NIL) (-392 897987 898887 898987 "FM1" 899066 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-391 895761 896177 896671 "FLOATRP" 897538 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-390 889339 893490 894111 "FLOAT" 895160 T FLOAT (NIL) -8 NIL NIL NIL) (-389 886777 887277 887855 "FLOATCP" 888806 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-388 885425 886369 886410 "FLINEXP" 886415 NIL FLINEXP (NIL T) -9 NIL 886508 NIL) (-387 884579 884814 885142 "FLINEXP-" 885147 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-386 883655 883799 884023 "FLASORT" 884431 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-385 880757 881625 881677 "FLALG" 882904 NIL FLALG (NIL T T) -9 NIL 883371 NIL) (-384 874417 878166 878207 "FLAGG" 879469 NIL FLAGG (NIL T) -9 NIL 880121 NIL) (-383 873143 873482 873972 "FLAGG-" 873977 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-382 872185 872328 872555 "FLAGG2" 872996 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-381 869022 870030 870089 "FINRALG" 871217 NIL FINRALG (NIL T T) -9 NIL 871725 NIL) (-380 868182 868411 868750 "FINRALG-" 868755 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-379 867548 867787 867815 "FINITE" 868011 T FINITE (NIL) -9 NIL 868118 NIL) (-378 859891 862078 862118 "FINAALG" 865785 NIL FINAALG (NIL T) -9 NIL 867238 NIL) (-377 855223 856273 857417 "FINAALG-" 858796 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-376 854591 854978 855081 "FILE" 855153 NIL FILE (NIL T) -8 NIL NIL NIL) (-375 853235 853573 853627 "FILECAT" 854311 NIL FILECAT (NIL T T) -9 NIL 854527 NIL) (-374 850937 852465 852493 "FIELD" 852533 T FIELD (NIL) -9 NIL 852613 NIL) (-373 849557 849942 850453 "FIELD-" 850458 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-372 847407 848192 848539 "FGROUP" 849243 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-371 846497 846661 846881 "FGLMICPK" 847239 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-370 842329 846422 846479 "FFX" 846484 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-369 841930 841991 842126 "FFSLPE" 842262 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-368 837920 838702 839498 "FFPOLY" 841166 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-367 837424 837460 837669 "FFPOLY2" 837878 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-366 833270 837343 837406 "FFP" 837411 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-365 828668 833181 833245 "FF" 833250 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-364 823794 828011 828201 "FFNBX" 828522 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-363 818722 822929 823187 "FFNBP" 823648 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-362 813355 818006 818217 "FFNB" 818555 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-361 812187 812385 812700 "FFINTBAS" 813152 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-360 808213 810434 810462 "FFIELDC" 811082 T FFIELDC (NIL) -9 NIL 811458 NIL) (-359 806875 807246 807743 "FFIELDC-" 807748 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-358 806444 806490 806614 "FFHOM" 806817 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-357 804139 804626 805143 "FFF" 805959 NIL FFF (NIL T) -7 NIL NIL NIL) (-356 799757 803881 803982 "FFCGX" 804082 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-355 795379 799489 799596 "FFCGP" 799700 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-354 790562 795106 795214 "FFCG" 795315 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-353 770091 780294 780380 "FFCAT" 785545 NIL FFCAT (NIL T T T) -9 NIL 786996 NIL) (-352 765288 766336 767650 "FFCAT-" 768880 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-351 764699 764742 764977 "FFCAT2" 765239 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-350 754022 757671 758891 "FEXPR" 763551 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-349 752984 753419 753460 "FEVALAB" 753544 NIL FEVALAB (NIL T) -9 NIL 753805 NIL) (-348 752143 752353 752691 "FEVALAB-" 752696 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-347 750709 751526 751729 "FDIV" 752042 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-346 747715 748456 748571 "FDIVCAT" 750139 NIL FDIVCAT (NIL T T T T) -9 NIL 750576 NIL) (-345 747477 747504 747674 "FDIVCAT-" 747679 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-344 746697 746784 747061 "FDIV2" 747384 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-343 745671 745992 746194 "FCTRDATA" 746515 T FCTRDATA (NIL) -8 NIL NIL NIL) (-342 744357 744616 744905 "FCPAK1" 745402 T FCPAK1 (NIL) -7 NIL NIL NIL) (-341 743456 743857 743998 "FCOMP" 744248 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-340 727161 730606 734144 "FC" 739938 T FC (NIL) -8 NIL NIL NIL) (-339 719454 723482 723522 "FAXF" 725324 NIL FAXF (NIL T) -9 NIL 726016 NIL) (-338 716731 717388 718213 "FAXF-" 718678 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-337 711786 716107 716283 "FARRAY" 716588 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-336 706666 708733 708786 "FAMR" 709809 NIL FAMR (NIL T T) -9 NIL 710269 NIL) (-335 705556 705858 706293 "FAMR-" 706298 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-334 704725 705478 705531 "FAMONOID" 705536 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-333 702497 703207 703260 "FAMONC" 704201 NIL FAMONC (NIL T T) -9 NIL 704587 NIL) (-332 701161 702251 702388 "FAGROUP" 702393 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-331 698956 699275 699678 "FACUTIL" 700842 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-330 698055 698240 698462 "FACTFUNC" 698766 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-329 690477 697358 697557 "EXPUPXS" 697911 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-328 687960 688500 689086 "EXPRTUBE" 689911 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-327 684231 684823 685553 "EXPRODE" 687299 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-326 669715 682880 683309 "EXPR" 683835 NIL EXPR (NIL T) -8 NIL NIL NIL) (-325 664269 664856 665662 "EXPR2UPS" 669013 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-324 663901 663958 664067 "EXPR2" 664206 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-323 654898 663052 663343 "EXPEXPAN" 663737 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-322 654698 654855 654884 "EXIT" 654889 T EXIT (NIL) -8 NIL NIL NIL) (-321 654178 654422 654513 "EXITAST" 654627 T EXITAST (NIL) -8 NIL NIL NIL) (-320 653805 653867 653980 "EVALCYC" 654110 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-319 653346 653464 653505 "EVALAB" 653675 NIL EVALAB (NIL T) -9 NIL 653779 NIL) (-318 652827 652949 653170 "EVALAB-" 653175 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-317 650181 651483 651511 "EUCDOM" 652066 T EUCDOM (NIL) -9 NIL 652416 NIL) (-316 648586 649028 649618 "EUCDOM-" 649623 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-315 636125 638884 641634 "ESTOOLS" 645856 T ESTOOLS (NIL) -7 NIL NIL NIL) (-314 635757 635814 635923 "ESTOOLS2" 636062 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-313 635508 635550 635630 "ESTOOLS1" 635709 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-312 629531 631139 631167 "ES" 633935 T ES (NIL) -9 NIL 635345 NIL) (-311 624478 625765 627582 "ES-" 627746 NIL ES- (NIL T) -8 NIL NIL NIL) (-310 620852 621613 622393 "ESCONT" 623718 T ESCONT (NIL) -7 NIL NIL NIL) (-309 620597 620629 620711 "ESCONT1" 620814 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-308 620272 620322 620422 "ES2" 620541 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-307 619902 619960 620069 "ES1" 620208 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-306 619118 619247 619423 "ERROR" 619746 T ERROR (NIL) -7 NIL NIL NIL) (-305 612516 618977 619068 "EQTBL" 619073 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-304 605019 607830 609279 "EQ" 611100 NIL -2035 (NIL T) -8 NIL NIL NIL) (-303 604651 604708 604817 "EQ2" 604956 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-302 599942 600989 602082 "EP" 603590 NIL EP (NIL T) -7 NIL NIL NIL) (-301 598542 598833 599139 "ENV" 599656 T ENV (NIL) -8 NIL NIL NIL) (-300 597622 598176 598204 "ENTIRER" 598209 T ENTIRER (NIL) -9 NIL 598255 NIL) (-299 594316 595804 596165 "EMR" 597430 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-298 593446 593631 593685 "ELTAGG" 594065 NIL ELTAGG (NIL T T) -9 NIL 594276 NIL) (-297 593165 593227 593368 "ELTAGG-" 593373 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-296 592929 592958 593012 "ELTAB" 593096 NIL ELTAB (NIL T T) -9 NIL 593148 NIL) (-295 592055 592201 592400 "ELFUTS" 592780 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-294 591797 591853 591881 "ELEMFUN" 591986 T ELEMFUN (NIL) -9 NIL NIL NIL) (-293 591667 591688 591756 "ELEMFUN-" 591761 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-292 586456 589709 589750 "ELAGG" 590690 NIL ELAGG (NIL T) -9 NIL 591153 NIL) (-291 584741 585175 585838 "ELAGG-" 585843 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-290 584053 584190 584346 "ELABOR" 584605 T ELABOR (NIL) -8 NIL NIL NIL) (-289 582714 582993 583287 "ELABEXPR" 583779 T ELABEXPR (NIL) -8 NIL NIL NIL) (-288 575548 577351 578180 "EFUPXS" 581989 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-287 568996 570797 571608 "EFULS" 574823 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-286 566481 566839 567311 "EFSTRUC" 568628 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-285 556272 557838 559386 "EF" 564996 NIL EF (NIL T T) -7 NIL NIL NIL) (-284 555346 555757 555906 "EAB" 556143 T EAB (NIL) -8 NIL NIL NIL) (-283 554528 555305 555333 "E04UCFA" 555338 T E04UCFA (NIL) -8 NIL NIL NIL) (-282 553710 554487 554515 "E04NAFA" 554520 T E04NAFA (NIL) -8 NIL NIL NIL) (-281 552892 553669 553697 "E04MBFA" 553702 T E04MBFA (NIL) -8 NIL NIL NIL) (-280 552074 552851 552879 "E04JAFA" 552884 T E04JAFA (NIL) -8 NIL NIL NIL) (-279 551258 552033 552061 "E04GCFA" 552066 T E04GCFA (NIL) -8 NIL NIL NIL) (-278 550442 551217 551245 "E04FDFA" 551250 T E04FDFA (NIL) -8 NIL NIL NIL) (-277 549624 550401 550429 "E04DGFA" 550434 T E04DGFA (NIL) -8 NIL NIL NIL) (-276 543797 545149 546513 "E04AGNT" 548280 T E04AGNT (NIL) -7 NIL NIL NIL) (-275 542555 543098 543138 "DVARCAT" 543479 NIL DVARCAT (NIL T) -9 NIL 543642 NIL) (-274 541759 541971 542285 "DVARCAT-" 542290 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-273 534620 541558 541687 "DSMP" 541692 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-272 533043 533762 533803 "DSEXT" 534166 NIL DSEXT (NIL T) -9 NIL 534460 NIL) (-271 531328 531756 532422 "DSEXT-" 532427 NIL DSEXT- (NIL T T) -8 NIL NIL NIL) (-270 526109 527273 528341 "DROPT" 530280 T DROPT (NIL) -8 NIL NIL NIL) (-269 525774 525833 525931 "DROPT1" 526044 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-268 520889 522015 523152 "DROPT0" 524657 T DROPT0 (NIL) -7 NIL NIL NIL) (-267 519234 519559 519945 "DRAWPT" 520523 T DRAWPT (NIL) -7 NIL NIL NIL) (-266 513821 514744 515823 "DRAW" 518208 NIL DRAW (NIL T) -7 NIL NIL NIL) (-265 513454 513507 513625 "DRAWHACK" 513762 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-264 512185 512454 512745 "DRAWCX" 513183 T DRAWCX (NIL) -7 NIL NIL NIL) (-263 511700 511769 511920 "DRAWCURV" 512111 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-262 502168 504130 506245 "DRAWCFUN" 509605 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-261 498907 500833 500874 "DQAGG" 501503 NIL DQAGG (NIL T) -9 NIL 501777 NIL) (-260 486372 493118 493201 "DPOLCAT" 495053 NIL DPOLCAT (NIL T T T T) -9 NIL 495598 NIL) (-259 481209 482557 484515 "DPOLCAT-" 484520 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-258 474556 481070 481168 "DPMO" 481173 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-257 467806 474336 474503 "DPMM" 474508 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-256 467376 467590 467679 "DOMTMPLT" 467737 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-255 466809 467178 467258 "DOMCTOR" 467316 T DOMCTOR (NIL) -8 NIL NIL NIL) (-254 466021 466289 466440 "DOMAIN" 466678 T DOMAIN (NIL) -8 NIL NIL NIL) (-253 459733 465656 465808 "DMP" 465922 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-252 457678 458800 458841 "DMEXT" 458846 NIL DMEXT (NIL T) -9 NIL 459022 NIL) (-251 457278 457334 457478 "DLP" 457616 NIL DLP (NIL T) -7 NIL NIL NIL) (-250 451103 456605 456795 "DLIST" 457120 NIL DLIST (NIL T) -8 NIL NIL NIL) (-249 447875 449928 449969 "DLAGG" 450519 NIL DLAGG (NIL T) -9 NIL 450749 NIL) (-248 446537 447201 447229 "DIVRING" 447321 T DIVRING (NIL) -9 NIL 447404 NIL) (-247 445774 445964 446264 "DIVRING-" 446269 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-246 443876 444233 444639 "DISPLAY" 445388 T DISPLAY (NIL) -7 NIL NIL NIL) (-245 437739 443790 443853 "DIRPROD" 443858 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-244 436587 436790 437055 "DIRPROD2" 437532 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-243 425262 431298 431351 "DIRPCAT" 431609 NIL DIRPCAT (NIL NIL T) -9 NIL 432484 NIL) (-242 422588 423230 424111 "DIRPCAT-" 424448 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-241 421875 422035 422221 "DIOSP" 422422 T DIOSP (NIL) -7 NIL NIL NIL) (-240 418505 420759 420800 "DIOPS" 421234 NIL DIOPS (NIL T) -9 NIL 421463 NIL) (-239 418054 418168 418359 "DIOPS-" 418364 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-238 417105 417733 417761 "DIFRING" 417766 T DIFRING (NIL) -9 NIL 417788 NIL) (-237 416777 416851 416879 "DIFFSPC" 416998 T DIFFSPC (NIL) -9 NIL 417073 NIL) (-236 416422 416500 416652 "DIFFSPC-" 416657 NIL DIFFSPC- (NIL T) -8 NIL NIL NIL) (-235 415478 415956 415997 "DIFFMOD" 416002 NIL DIFFMOD (NIL T) -9 NIL 416100 NIL) (-234 415186 415231 415272 "DIFFDOM" 415393 NIL DIFFDOM (NIL T) -9 NIL 415461 NIL) (-233 415039 415063 415147 "DIFFDOM-" 415152 NIL DIFFDOM- (NIL T T) -8 NIL NIL NIL) (-232 412971 414243 414284 "DIFEXT" 414289 NIL DIFEXT (NIL T) -9 NIL 414442 NIL) (-231 410221 412475 412516 "DIAGG" 412521 NIL DIAGG (NIL T) -9 NIL 412541 NIL) (-230 409605 409762 410014 "DIAGG-" 410019 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-229 404977 408564 408841 "DHMATRIX" 409374 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-228 400589 401498 402508 "DFSFUN" 403987 T DFSFUN (NIL) -7 NIL NIL NIL) (-227 395667 399520 399832 "DFLOAT" 400297 T DFLOAT (NIL) -8 NIL NIL NIL) (-226 393930 394211 394600 "DFINTTLS" 395375 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-225 390959 391951 392351 "DERHAM" 393596 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-224 388763 390734 390823 "DEQUEUE" 390903 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-223 388017 388150 388333 "DEGRED" 388625 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-222 384447 385192 386038 "DEFINTRF" 387245 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-221 382002 382471 383063 "DEFINTEF" 383966 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-220 381352 381622 381737 "DEFAST" 381907 T DEFAST (NIL) -8 NIL NIL NIL) (-219 375068 380945 381095 "DECIMAL" 381222 T DECIMAL (NIL) -8 NIL NIL NIL) (-218 372580 373038 373544 "DDFACT" 374612 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-217 372176 372219 372370 "DBLRESP" 372531 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-216 370044 370406 370767 "DBASE" 371942 NIL DBASE (NIL T) -8 NIL NIL NIL) (-215 369286 369524 369670 "DATAARY" 369943 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-214 368392 369245 369273 "D03FAFA" 369278 T D03FAFA (NIL) -8 NIL NIL NIL) (-213 367499 368351 368379 "D03EEFA" 368384 T D03EEFA (NIL) -8 NIL NIL NIL) (-212 365449 365915 366404 "D03AGNT" 367030 T D03AGNT (NIL) -7 NIL NIL NIL) (-211 364738 365408 365436 "D02EJFA" 365441 T D02EJFA (NIL) -8 NIL NIL NIL) (-210 364027 364697 364725 "D02CJFA" 364730 T D02CJFA (NIL) -8 NIL NIL NIL) (-209 363316 363986 364014 "D02BHFA" 364019 T D02BHFA (NIL) -8 NIL NIL NIL) (-208 362605 363275 363303 "D02BBFA" 363308 T D02BBFA (NIL) -8 NIL NIL NIL) (-207 355802 357391 358997 "D02AGNT" 361019 T D02AGNT (NIL) -7 NIL NIL NIL) (-206 353570 354093 354639 "D01WGTS" 355276 T D01WGTS (NIL) -7 NIL NIL NIL) (-205 352637 353529 353557 "D01TRNS" 353562 T D01TRNS (NIL) -8 NIL NIL NIL) (-204 351705 352596 352624 "D01GBFA" 352629 T D01GBFA (NIL) -8 NIL NIL NIL) (-203 350773 351664 351692 "D01FCFA" 351697 T D01FCFA (NIL) -8 NIL NIL NIL) (-202 349841 350732 350760 "D01ASFA" 350765 T D01ASFA (NIL) -8 NIL NIL NIL) (-201 348909 349800 349828 "D01AQFA" 349833 T D01AQFA (NIL) -8 NIL NIL NIL) (-200 347977 348868 348896 "D01APFA" 348901 T D01APFA (NIL) -8 NIL NIL NIL) (-199 347045 347936 347964 "D01ANFA" 347969 T D01ANFA (NIL) -8 NIL NIL NIL) (-198 346113 347004 347032 "D01AMFA" 347037 T D01AMFA (NIL) -8 NIL NIL NIL) (-197 345181 346072 346100 "D01ALFA" 346105 T D01ALFA (NIL) -8 NIL NIL NIL) (-196 344249 345140 345168 "D01AKFA" 345173 T D01AKFA (NIL) -8 NIL NIL NIL) (-195 343317 344208 344236 "D01AJFA" 344241 T D01AJFA (NIL) -8 NIL NIL NIL) (-194 336612 338165 339726 "D01AGNT" 341776 T D01AGNT (NIL) -7 NIL NIL NIL) (-193 335949 336077 336229 "CYCLOTOM" 336480 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-192 332682 333397 334124 "CYCLES" 335242 T CYCLES (NIL) -7 NIL NIL NIL) (-191 331994 332128 332299 "CVMP" 332543 NIL CVMP (NIL T) -7 NIL NIL NIL) (-190 329835 330093 330462 "CTRIGMNP" 331722 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-189 329271 329629 329702 "CTOR" 329782 T CTOR (NIL) -8 NIL NIL NIL) (-188 328780 329002 329103 "CTORKIND" 329190 T CTORKIND (NIL) -8 NIL NIL NIL) (-187 328057 328373 328401 "CTORCAT" 328583 T CTORCAT (NIL) -9 NIL 328696 NIL) (-186 327655 327766 327925 "CTORCAT-" 327930 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-185 327117 327329 327437 "CTORCALL" 327579 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-184 326491 326590 326743 "CSTTOOLS" 327014 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-183 322290 322947 323705 "CRFP" 325803 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-182 321765 322011 322103 "CRCEAST" 322218 T CRCEAST (NIL) -8 NIL NIL NIL) (-181 320812 320997 321225 "CRAPACK" 321569 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-180 320196 320297 320501 "CPMATCH" 320688 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-179 319921 319949 320055 "CPIMA" 320162 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-178 316269 316941 317660 "COORDSYS" 319256 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-177 315681 315802 315944 "CONTOUR" 316147 T CONTOUR (NIL) -8 NIL NIL NIL) (-176 311572 313684 314176 "CONTFRAC" 315221 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-175 311452 311473 311501 "CONDUIT" 311538 T CONDUIT (NIL) -9 NIL NIL NIL) (-174 310526 311080 311108 "COMRING" 311113 T COMRING (NIL) -9 NIL 311165 NIL) (-173 309580 309884 310068 "COMPPROP" 310362 T COMPPROP (NIL) -8 NIL NIL NIL) (-172 309241 309276 309404 "COMPLPAT" 309539 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-171 298544 309050 309159 "COMPLEX" 309164 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 298180 298237 298344 "COMPLEX2" 298481 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-169 297519 297640 297800 "COMPILER" 298040 T COMPILER (NIL) -8 NIL NIL NIL) (-168 297237 297272 297370 "COMPFACT" 297478 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-167 279516 290941 290981 "COMPCAT" 291985 NIL COMPCAT (NIL T) -9 NIL 293333 NIL) (-166 269028 271955 275582 "COMPCAT-" 275938 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-165 268757 268785 268888 "COMMUPC" 268994 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-164 268551 268585 268644 "COMMONOP" 268718 T COMMONOP (NIL) -7 NIL NIL NIL) (-163 268107 268302 268389 "COMM" 268484 T COMM (NIL) -8 NIL NIL NIL) (-162 267683 267911 267986 "COMMAAST" 268052 T COMMAAST (NIL) -8 NIL NIL NIL) (-161 266932 267126 267154 "COMBOPC" 267492 T COMBOPC (NIL) -9 NIL 267667 NIL) (-160 265828 266038 266280 "COMBINAT" 266722 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-159 262285 262859 263486 "COMBF" 265250 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-158 261043 261401 261636 "COLOR" 262070 T COLOR (NIL) -8 NIL NIL NIL) (-157 260519 260764 260856 "COLONAST" 260971 T COLONAST (NIL) -8 NIL NIL NIL) (-156 260159 260206 260331 "CMPLXRT" 260466 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-155 259607 259859 259958 "CLLCTAST" 260080 T CLLCTAST (NIL) -8 NIL NIL NIL) (-154 255109 256137 257217 "CLIP" 258547 T CLIP (NIL) -7 NIL NIL NIL) (-153 253450 254210 254450 "CLIF" 254936 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-152 249600 251568 251609 "CLAGG" 252538 NIL CLAGG (NIL T) -9 NIL 253074 NIL) (-151 248022 248479 249062 "CLAGG-" 249067 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-150 247566 247651 247791 "CINTSLPE" 247931 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-149 245067 245538 246086 "CHVAR" 247094 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-148 244227 244781 244809 "CHARZ" 244814 T CHARZ (NIL) -9 NIL 244829 NIL) (-147 243981 244021 244099 "CHARPOL" 244181 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-146 243025 243612 243640 "CHARNZ" 243687 T CHARNZ (NIL) -9 NIL 243743 NIL) (-145 240931 241679 242032 "CHAR" 242692 T CHAR (NIL) -8 NIL NIL NIL) (-144 240657 240718 240746 "CFCAT" 240857 T CFCAT (NIL) -9 NIL NIL NIL) (-143 239898 240009 240192 "CDEN" 240541 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-142 235863 239051 239331 "CCLASS" 239638 T CCLASS (NIL) -8 NIL NIL NIL) (-141 235114 235271 235448 "CATEGORY" 235706 T -10 (NIL) -8 NIL NIL NIL) (-140 234687 235033 235081 "CATCTOR" 235086 T CATCTOR (NIL) -8 NIL NIL NIL) (-139 234138 234390 234488 "CATAST" 234609 T CATAST (NIL) -8 NIL NIL NIL) (-138 233614 233859 233951 "CASEAST" 234066 T CASEAST (NIL) -8 NIL NIL NIL) (-137 228752 229771 230515 "CARTEN" 232926 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 227860 228008 228229 "CARTEN2" 228599 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-135 226176 227010 227267 "CARD" 227623 T CARD (NIL) -8 NIL NIL NIL) (-134 225752 225980 226055 "CAPSLAST" 226121 T CAPSLAST (NIL) -8 NIL NIL NIL) (-133 225242 225450 225478 "CACHSET" 225610 T CACHSET (NIL) -9 NIL 225688 NIL) (-132 224698 225020 225048 "CABMON" 225098 T CABMON (NIL) -9 NIL 225154 NIL) (-131 224171 224402 224512 "BYTEORD" 224608 T BYTEORD (NIL) -8 NIL NIL NIL) (-130 223148 223700 223842 "BYTE" 224005 T BYTE (NIL) -8 NIL NIL 224127) (-129 218501 222653 222825 "BYTEBUF" 222996 T BYTEBUF (NIL) -8 NIL NIL NIL) (-128 216013 218193 218300 "BTREE" 218427 NIL BTREE (NIL T) -8 NIL NIL NIL) (-127 213465 215661 215783 "BTOURN" 215923 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-126 210810 212907 212948 "BTCAT" 213016 NIL BTCAT (NIL T) -9 NIL 213093 NIL) (-125 210477 210557 210706 "BTCAT-" 210711 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-124 205842 209723 209751 "BTAGG" 209865 T BTAGG (NIL) -9 NIL 209975 NIL) (-123 205332 205457 205663 "BTAGG-" 205668 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-122 202330 204610 204825 "BSTREE" 205149 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-121 201468 201594 201778 "BRILL" 202186 NIL BRILL (NIL T) -7 NIL NIL NIL) (-120 198095 200166 200207 "BRAGG" 200856 NIL BRAGG (NIL T) -9 NIL 201114 NIL) (-119 196624 197030 197585 "BRAGG-" 197590 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-118 189540 195968 196153 "BPADICRT" 196471 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-117 187855 189477 189522 "BPADIC" 189527 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-116 187553 187583 187697 "BOUNDZRO" 187819 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-115 182781 183979 184891 "BOP" 186661 T BOP (NIL) -8 NIL NIL NIL) (-114 180562 180966 181441 "BOP1" 182339 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-113 180263 180324 180352 "BOOLE" 180463 T BOOLE (NIL) -9 NIL 180545 NIL) (-112 179088 179837 179986 "BOOLEAN" 180134 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 178353 178757 178811 "BMODULE" 178816 NIL BMODULE (NIL T T) -9 NIL 178881 NIL) (-110 174154 178151 178224 "BITS" 178300 T BITS (NIL) -8 NIL NIL NIL) (-109 173575 173694 173834 "BINDING" 174034 T BINDING (NIL) -8 NIL NIL NIL) (-108 167294 173170 173319 "BINARY" 173446 T BINARY (NIL) -8 NIL NIL NIL) (-107 165049 166521 166562 "BGAGG" 166822 NIL BGAGG (NIL T) -9 NIL 166959 NIL) (-106 164880 164912 165003 "BGAGG-" 165008 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 163951 164264 164469 "BFUNCT" 164695 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 162641 162819 163107 "BEZOUT" 163775 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 159113 161493 161823 "BBTREE" 162344 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 158714 158792 158820 "BASTYPE" 158997 T BASTYPE (NIL) -9 NIL 159096 NIL) (-101 158390 158471 158606 "BASTYPE-" 158611 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 157824 157900 158052 "BALFACT" 158301 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 156680 157239 157425 "AUTOMOR" 157669 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 156406 156411 156437 "ATTREG" 156442 T ATTREG (NIL) -9 NIL NIL NIL) (-97 154658 155103 155455 "ATTRBUT" 156072 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 154266 154486 154552 "ATTRAST" 154610 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 153802 153915 153941 "ATRIG" 154142 T ATRIG (NIL) -9 NIL NIL NIL) (-94 153611 153652 153739 "ATRIG-" 153744 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 153242 153428 153454 "ASTCAT" 153459 T ASTCAT (NIL) -9 NIL 153489 NIL) (-92 152969 153028 153147 "ASTCAT-" 153152 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 151121 152745 152833 "ASTACK" 152912 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 149626 149923 150288 "ASSOCEQ" 150803 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 148658 149285 149409 "ASP9" 149533 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 148421 148606 148645 "ASP8" 148650 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 147289 148026 148168 "ASP80" 148310 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 146187 146924 147056 "ASP7" 147188 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 145141 145864 145982 "ASP78" 146100 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 144110 144821 144938 "ASP77" 145055 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 143022 143748 143879 "ASP74" 144010 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 141922 142657 142789 "ASP73" 142921 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 141026 141748 141848 "ASP6" 141853 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 139973 140703 140821 "ASP55" 140939 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 138922 139647 139766 "ASP50" 139885 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 138010 138623 138733 "ASP4" 138843 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 137098 137711 137821 "ASP49" 137931 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 135882 136637 136805 "ASP42" 136987 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 134659 135415 135585 "ASP41" 135769 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 133609 134336 134454 "ASP35" 134572 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 133374 133557 133596 "ASP34" 133601 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 133111 133178 133254 "ASP33" 133329 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 132005 132746 132878 "ASP31" 133010 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 131770 131953 131992 "ASP30" 131997 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 131505 131574 131650 "ASP29" 131725 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 131270 131453 131492 "ASP28" 131497 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 131035 131218 131257 "ASP27" 131262 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 130119 130733 130844 "ASP24" 130955 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 129196 129921 130033 "ASP20" 130038 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 128284 128897 129007 "ASP1" 129117 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 127227 127958 128077 "ASP19" 128196 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 126964 127031 127107 "ASP12" 127182 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 125816 126563 126707 "ASP10" 126851 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 123670 125660 125751 "ARRAY2" 125756 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 119438 123318 123432 "ARRAY1" 123587 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 118470 118643 118864 "ARRAY12" 119261 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 112757 114672 114747 "ARR2CAT" 117377 NIL ARR2CAT (NIL T T T) -9 NIL 118135 NIL) (-56 110191 110935 111889 "ARR2CAT-" 111894 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 109508 109818 109943 "ARITY" 110084 T ARITY (NIL) -8 NIL NIL NIL) (-54 108284 108436 108735 "APPRULE" 109344 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 107935 107983 108102 "APPLYORE" 108230 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 107289 107528 107648 "ANY" 107833 T ANY (NIL) -8 NIL NIL NIL) (-51 106567 106690 106847 "ANY1" 107163 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 104097 105004 105331 "ANTISYM" 106291 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 103589 103804 103900 "ANON" 104019 T ANON (NIL) -8 NIL NIL NIL) (-48 97589 102128 102582 "AN" 103153 T AN (NIL) -8 NIL NIL NIL) (-47 93473 94861 94912 "AMR" 95660 NIL AMR (NIL T T) -9 NIL 96260 NIL) (-46 92585 92806 93169 "AMR-" 93174 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 77030 92502 92563 "ALIST" 92568 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 73835 76624 76793 "ALGSC" 76948 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 70391 70945 71552 "ALGPKG" 73275 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 69668 69769 69953 "ALGMFACT" 70277 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 65703 66282 66876 "ALGMANIP" 69252 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 55914 65329 65479 "ALGFF" 65636 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 55110 55241 55420 "ALGFACT" 55772 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 54037 54637 54675 "ALGEBRA" 54680 NIL ALGEBRA (NIL T) -9 NIL 54721 NIL) (-37 53755 53814 53946 "ALGEBRA-" 53951 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 35692 51592 51644 "ALAGG" 51780 NIL ALAGG (NIL T T) -9 NIL 51941 NIL) (-35 35228 35341 35367 "AHYP" 35568 T AHYP (NIL) -9 NIL NIL NIL) (-34 34159 34407 34433 "AGG" 34932 T AGG (NIL) -9 NIL 35211 NIL) (-33 33593 33755 33969 "AGG-" 33974 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 31399 31822 32227 "AF" 33235 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 30879 31124 31214 "ADDAST" 31327 T ADDAST (NIL) -8 NIL NIL NIL) (-30 30147 30406 30562 "ACPLOT" 30741 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 18770 27079 27117 "ACFS" 27724 NIL ACFS (NIL T) -9 NIL 27963 NIL) (-28 16797 17287 18049 "ACFS-" 18054 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 12901 14830 14856 "ACF" 15735 T ACF (NIL) -9 NIL 16148 NIL) (-26 11605 11939 12432 "ACF-" 12437 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 11163 11358 11384 "ABELSG" 11476 T ABELSG (NIL) -9 NIL 11541 NIL) (-24 11030 11055 11121 "ABELSG-" 11126 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 10359 10646 10672 "ABELMON" 10842 T ABELMON (NIL) -9 NIL 10954 NIL) (-22 10023 10107 10245 "ABELMON-" 10250 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 9357 9729 9755 "ABELGRP" 9827 T ABELGRP (NIL) -9 NIL 9902 NIL) (-20 8820 8949 9165 "ABELGRP-" 9170 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4333 8082 8121 "A1AGG" 8126 NIL A1AGG (NIL T) -9 NIL 8166 NIL) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL NIL)) 
-\ No newline at end of file
+((-3 3262846 3262851 3262856 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-2 3262831 3262836 3262841 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1 3262816 3262821 3262826 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (0 3262801 3262806 3262811 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1317 3261944 3262676 3262753 "ZMOD" 3262758 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1316 3260998 3261162 3261385 "ZLINDEP" 3261776 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1315 3250298 3252066 3254038 "ZDSOLVE" 3259128 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1314 3249544 3249685 3249874 "YSTREAM" 3250144 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1313 3248972 3249218 3249331 "YDIAGRAM" 3249453 T YDIAGRAM (NIL) -8 NIL NIL NIL) (-1312 3246746 3248273 3248477 "XRPOLY" 3248815 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1311 3243299 3244617 3245192 "XPR" 3246218 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1310 3241020 3242630 3242834 "XPOLY" 3243130 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1309 3238659 3240027 3240082 "XPOLYC" 3240370 NIL XPOLYC (NIL T T) -9 NIL 3240483 NIL) (-1308 3235035 3237176 3237564 "XPBWPOLY" 3238317 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1307 3230716 3233011 3233053 "XF" 3233674 NIL XF (NIL T) -9 NIL 3234074 NIL) (-1306 3230337 3230425 3230594 "XF-" 3230599 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1305 3225519 3226808 3226863 "XFALG" 3229035 NIL XFALG (NIL T T) -9 NIL 3229824 NIL) (-1304 3224652 3224756 3224961 "XEXPPKG" 3225411 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1303 3222761 3224502 3224598 "XDPOLY" 3224603 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1302 3221554 3222154 3222197 "XALG" 3222202 NIL XALG (NIL T) -9 NIL 3222313 NIL) (-1301 3214996 3219531 3220025 "WUTSET" 3221146 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1300 3213252 3214048 3214371 "WP" 3214807 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1299 3212854 3213074 3213144 "WHILEAST" 3213204 T WHILEAST (NIL) -8 NIL NIL NIL) (-1298 3212326 3212571 3212665 "WHEREAST" 3212782 T WHEREAST (NIL) -8 NIL NIL NIL) (-1297 3211212 3211410 3211705 "WFFINTBS" 3212123 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1296 3209116 3209543 3210005 "WEIER" 3210784 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1295 3208148 3208598 3208640 "VSPACE" 3208776 NIL VSPACE (NIL T) -9 NIL 3208850 NIL) (-1294 3207986 3208013 3208104 "VSPACE-" 3208109 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1293 3207795 3207837 3207905 "VOID" 3207940 T VOID (NIL) -8 NIL NIL NIL) (-1292 3205931 3206290 3206696 "VIEW" 3207411 T VIEW (NIL) -7 NIL NIL NIL) (-1291 3202355 3202994 3203731 "VIEWDEF" 3205216 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1290 3191659 3193903 3196076 "VIEW3D" 3200204 T VIEW3D (NIL) -8 NIL NIL NIL) (-1289 3183910 3185570 3187149 "VIEW2D" 3190102 T VIEW2D (NIL) -8 NIL NIL NIL) (-1288 3179266 3183680 3183772 "VECTOR" 3183853 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1287 3177843 3178102 3178420 "VECTOR2" 3178996 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1286 3171241 3175547 3175590 "VECTCAT" 3176585 NIL VECTCAT (NIL T) -9 NIL 3177172 NIL) (-1285 3170255 3170509 3170899 "VECTCAT-" 3170904 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1284 3169709 3169906 3170026 "VARIABLE" 3170170 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1283 3169642 3169647 3169677 "UTYPE" 3169682 T UTYPE (NIL) -9 NIL NIL NIL) (-1282 3168472 3168626 3168888 "UTSODETL" 3169468 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1281 3165912 3166372 3166896 "UTSODE" 3168013 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1280 3157860 3163673 3164153 "UTS" 3165490 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1279 3148424 3153794 3153837 "UTSCAT" 3154949 NIL UTSCAT (NIL T) -9 NIL 3155707 NIL) (-1278 3145772 3146494 3147483 "UTSCAT-" 3147488 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1277 3145399 3145442 3145575 "UTS2" 3145723 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1276 3139600 3142209 3142252 "URAGG" 3144322 NIL URAGG (NIL T) -9 NIL 3145045 NIL) (-1275 3136539 3137402 3138525 "URAGG-" 3138530 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1274 3132248 3135174 3135639 "UPXSSING" 3136203 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1273 3124424 3131630 3131894 "UPXS" 3132042 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1272 3117497 3124328 3124400 "UPXSCONS" 3124405 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1271 3106904 3113700 3113762 "UPXSCCA" 3114336 NIL UPXSCCA (NIL T T) -9 NIL 3114569 NIL) (-1270 3106542 3106627 3106801 "UPXSCCA-" 3106806 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1269 3095801 3102370 3102413 "UPXSCAT" 3103061 NIL UPXSCAT (NIL T) -9 NIL 3103670 NIL) (-1268 3095231 3095310 3095489 "UPXS2" 3095716 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1267 3093885 3094138 3094489 "UPSQFREE" 3094974 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1266 3087093 3090153 3090208 "UPSCAT" 3091288 NIL UPSCAT (NIL T T) -9 NIL 3092053 NIL) (-1265 3086297 3086504 3086831 "UPSCAT-" 3086836 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1264 3071379 3079424 3079467 "UPOLYC" 3081568 NIL UPOLYC (NIL T) -9 NIL 3082789 NIL) (-1263 3062707 3065133 3068280 "UPOLYC-" 3068285 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1262 3062334 3062377 3062510 "UPOLYC2" 3062658 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1261 3053869 3062017 3062146 "UP" 3062253 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1260 3053208 3053315 3053479 "UPMP" 3053758 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1259 3052761 3052842 3052981 "UPDIVP" 3053121 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1258 3051329 3051578 3051894 "UPDECOMP" 3052510 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1257 3050560 3050672 3050858 "UPCDEN" 3051213 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1256 3050079 3050148 3050297 "UP2" 3050485 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1255 3048546 3049283 3049560 "UNISEG" 3049837 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1254 3047761 3047888 3048093 "UNISEG2" 3048389 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1253 3046821 3047001 3047227 "UNIFACT" 3047577 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1252 3029573 3046133 3046375 "ULS" 3046637 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1251 3017203 3029477 3029549 "ULSCONS" 3029554 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1250 2997924 3010284 3010346 "ULSCCAT" 3010984 NIL ULSCCAT (NIL T T) -9 NIL 3011273 NIL) (-1249 2996974 2997219 2997607 "ULSCCAT-" 2997612 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1248 2986038 2992521 2992564 "ULSCAT" 2993427 NIL ULSCAT (NIL T) -9 NIL 2994158 NIL) (-1247 2985468 2985547 2985726 "ULS2" 2985953 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1246 2984587 2985097 2985204 "UINT8" 2985315 T UINT8 (NIL) -8 NIL NIL 2985400) (-1245 2983705 2984215 2984322 "UINT64" 2984433 T UINT64 (NIL) -8 NIL NIL 2984518) (-1244 2982823 2983333 2983440 "UINT32" 2983551 T UINT32 (NIL) -8 NIL NIL 2983636) (-1243 2981941 2982451 2982558 "UINT16" 2982669 T UINT16 (NIL) -8 NIL NIL 2982754) (-1242 2980230 2981187 2981217 "UFD" 2981429 T UFD (NIL) -9 NIL 2981543 NIL) (-1241 2980024 2980070 2980165 "UFD-" 2980170 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1240 2979106 2979289 2979505 "UDVO" 2979830 T UDVO (NIL) -7 NIL NIL NIL) (-1239 2976922 2977331 2977802 "UDPO" 2978670 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1238 2976855 2976860 2976890 "TYPE" 2976895 T TYPE (NIL) -9 NIL NIL NIL) (-1237 2976615 2976810 2976841 "TYPEAST" 2976846 T TYPEAST (NIL) -8 NIL NIL NIL) (-1236 2975586 2975788 2976028 "TWOFACT" 2976409 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1235 2974609 2974995 2975230 "TUPLE" 2975386 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1234 2972300 2972819 2973358 "TUBETOOL" 2974092 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1233 2971149 2971354 2971595 "TUBE" 2972093 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1232 2965878 2970121 2970404 "TS" 2970901 NIL TS (NIL T) -8 NIL NIL NIL) (-1231 2954518 2958637 2958734 "TSETCAT" 2964003 NIL TSETCAT (NIL T T T T) -9 NIL 2965534 NIL) (-1230 2949250 2950850 2952741 "TSETCAT-" 2952746 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1229 2943889 2944736 2945665 "TRMANIP" 2948386 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1228 2943330 2943393 2943556 "TRIMAT" 2943821 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1227 2941196 2941433 2941790 "TRIGMNIP" 2943079 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1226 2940716 2940829 2940859 "TRIGCAT" 2941072 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1225 2940385 2940464 2940605 "TRIGCAT-" 2940610 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1224 2937233 2939243 2939524 "TREE" 2940139 NIL TREE (NIL T) -8 NIL NIL NIL) (-1223 2936507 2937035 2937065 "TRANFUN" 2937100 T TRANFUN (NIL) -9 NIL 2937166 NIL) (-1222 2935786 2935977 2936257 "TRANFUN-" 2936262 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1221 2935590 2935622 2935683 "TOPSP" 2935747 T TOPSP (NIL) -7 NIL NIL NIL) (-1220 2934938 2935053 2935207 "TOOLSIGN" 2935471 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1219 2933572 2934115 2934354 "TEXTFILE" 2934721 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1218 2931484 2932025 2932454 "TEX" 2933165 T TEX (NIL) -8 NIL NIL NIL) (-1217 2931265 2931296 2931368 "TEX1" 2931447 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1216 2930913 2930976 2931066 "TEMUTL" 2931197 T TEMUTL (NIL) -7 NIL NIL NIL) (-1215 2929067 2929347 2929672 "TBCMPPK" 2930636 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1214 2920776 2927153 2927209 "TBAGG" 2927609 NIL TBAGG (NIL T T) -9 NIL 2927820 NIL) (-1213 2915846 2917334 2919088 "TBAGG-" 2919093 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1212 2915230 2915337 2915482 "TANEXP" 2915735 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1211 2914741 2915005 2915095 "TALGOP" 2915175 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1210 2908137 2914598 2914691 "TABLE" 2914696 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1209 2907549 2907648 2907786 "TABLEAU" 2908034 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1208 2902157 2903377 2904625 "TABLBUMP" 2906335 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1207 2901379 2901526 2901707 "SYSTEM" 2901998 T SYSTEM (NIL) -8 NIL NIL NIL) (-1206 2897838 2898537 2899320 "SYSSOLP" 2900630 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1205 2897636 2897793 2897824 "SYSPTR" 2897829 T SYSPTR (NIL) -8 NIL NIL NIL) (-1204 2896672 2897177 2897296 "SYSNNI" 2897482 NIL SYSNNI (NIL NIL) -8 NIL NIL 2897567) (-1203 2895971 2896430 2896509 "SYSINT" 2896569 NIL SYSINT (NIL NIL) -8 NIL NIL 2896614) (-1202 2892303 2893249 2893959 "SYNTAX" 2895283 T SYNTAX (NIL) -8 NIL NIL NIL) (-1201 2889461 2890063 2890695 "SYMTAB" 2891693 T SYMTAB (NIL) -8 NIL NIL NIL) (-1200 2884710 2885612 2886595 "SYMS" 2888500 T SYMS (NIL) -8 NIL NIL NIL) (-1199 2881945 2884168 2884398 "SYMPOLY" 2884515 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1198 2881462 2881537 2881660 "SYMFUNC" 2881857 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1197 2877482 2878774 2879587 "SYMBOL" 2880671 T SYMBOL (NIL) -8 NIL NIL NIL) (-1196 2871021 2872710 2874430 "SWITCH" 2875784 T SWITCH (NIL) -8 NIL NIL NIL) (-1195 2864365 2869977 2870271 "SUTS" 2870785 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1194 2856541 2863747 2864011 "SUPXS" 2864159 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1193 2848024 2856159 2856285 "SUP" 2856450 NIL SUP (NIL T) -8 NIL NIL NIL) (-1192 2847183 2847310 2847527 "SUPFRACF" 2847892 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1191 2846804 2846863 2846976 "SUP2" 2847118 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1190 2845252 2845526 2845882 "SUMRF" 2846503 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1189 2844587 2844653 2844845 "SUMFS" 2845173 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1188 2827374 2843899 2844141 "SULS" 2844403 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1187 2826976 2827196 2827266 "SUCHTAST" 2827326 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1186 2826271 2826501 2826641 "SUCH" 2826884 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1185 2820138 2821177 2822136 "SUBSPACE" 2825359 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1184 2819568 2819658 2819822 "SUBRESP" 2820026 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1183 2812936 2814233 2815544 "STTF" 2818304 NIL STTF (NIL T) -7 NIL NIL NIL) (-1182 2807109 2808229 2809376 "STTFNC" 2811836 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1181 2798422 2800291 2802085 "STTAYLOR" 2805350 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1180 2791558 2798286 2798369 "STRTBL" 2798374 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1179 2786519 2791267 2791366 "STRING" 2791481 T STRING (NIL) -8 NIL NIL NIL) (-1178 2779275 2784138 2784749 "STREAM" 2785943 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1177 2778785 2778862 2779006 "STREAM3" 2779192 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1176 2777767 2777950 2778185 "STREAM2" 2778598 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1175 2777455 2777507 2777600 "STREAM1" 2777709 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1174 2776471 2776652 2776883 "STINPROD" 2777271 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1173 2776009 2776219 2776249 "STEP" 2776329 T STEP (NIL) -9 NIL 2776407 NIL) (-1172 2775196 2775498 2775646 "STEPAST" 2775883 T STEPAST (NIL) -8 NIL NIL NIL) (-1171 2768634 2775095 2775172 "STBL" 2775177 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1170 2763704 2767797 2767840 "STAGG" 2767993 NIL STAGG (NIL T) -9 NIL 2768082 NIL) (-1169 2761406 2762008 2762880 "STAGG-" 2762885 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1168 2759556 2761176 2761268 "STACK" 2761349 NIL STACK (NIL T) -8 NIL NIL NIL) (-1167 2752251 2757697 2758153 "SREGSET" 2759186 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1166 2744676 2746045 2747558 "SRDCMPK" 2750857 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1165 2737513 2742035 2742065 "SRAGG" 2743368 T SRAGG (NIL) -9 NIL 2743976 NIL) (-1164 2736530 2736785 2737164 "SRAGG-" 2737169 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1163 2730714 2735477 2735898 "SQMATRIX" 2736156 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1162 2724402 2727432 2728159 "SPLTREE" 2730059 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1161 2720365 2721058 2721704 "SPLNODE" 2723828 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1160 2719412 2719645 2719675 "SPFCAT" 2720119 T SPFCAT (NIL) -9 NIL NIL NIL) (-1159 2718149 2718359 2718623 "SPECOUT" 2719170 T SPECOUT (NIL) -7 NIL NIL NIL) (-1158 2709245 2711117 2711147 "SPADXPT" 2715823 T SPADXPT (NIL) -9 NIL 2717987 NIL) (-1157 2709006 2709046 2709115 "SPADPRSR" 2709198 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1156 2707055 2708961 2708992 "SPADAST" 2708997 T SPADAST (NIL) -8 NIL NIL NIL) (-1155 2698986 2700759 2700802 "SPACEC" 2705175 NIL SPACEC (NIL T) -9 NIL 2706991 NIL) (-1154 2697116 2698918 2698967 "SPACE3" 2698972 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1153 2695868 2696039 2696330 "SORTPAK" 2696921 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1152 2693960 2694263 2694675 "SOLVETRA" 2695532 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1151 2693010 2693232 2693493 "SOLVESER" 2693733 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1150 2688314 2689202 2690197 "SOLVERAD" 2692062 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1149 2684129 2684738 2685467 "SOLVEFOR" 2687681 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1148 2678399 2683478 2683575 "SNTSCAT" 2683580 NIL SNTSCAT (NIL T T T T) -9 NIL 2683650 NIL) (-1147 2672505 2676722 2677113 "SMTS" 2678089 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1146 2666914 2672393 2672470 "SMP" 2672475 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1145 2665073 2665374 2665772 "SMITH" 2666611 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1144 2657177 2661652 2661755 "SMATCAT" 2663106 NIL SMATCAT (NIL NIL T T T) -9 NIL 2663656 NIL) (-1143 2654117 2654940 2656118 "SMATCAT-" 2656123 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1142 2651758 2653325 2653368 "SKAGG" 2653629 NIL SKAGG (NIL T) -9 NIL 2653764 NIL) (-1141 2647948 2651231 2651415 "SINT" 2651567 T SINT (NIL) -8 NIL NIL 2651729) (-1140 2647720 2647758 2647824 "SIMPAN" 2647904 T SIMPAN (NIL) -7 NIL NIL NIL) (-1139 2646999 2647255 2647395 "SIG" 2647602 T SIG (NIL) -8 NIL NIL NIL) (-1138 2645837 2646058 2646333 "SIGNRF" 2646758 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1137 2644670 2644821 2645105 "SIGNEF" 2645666 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1136 2643976 2644253 2644377 "SIGAST" 2644568 T SIGAST (NIL) -8 NIL NIL NIL) (-1135 2641666 2642120 2642626 "SHP" 2643517 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1134 2635495 2641567 2641643 "SHDP" 2641648 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1133 2635054 2635246 2635276 "SGROUP" 2635369 T SGROUP (NIL) -9 NIL 2635431 NIL) (-1132 2634912 2634938 2635011 "SGROUP-" 2635016 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1131 2631703 2632401 2633124 "SGCF" 2634211 T SGCF (NIL) -7 NIL NIL NIL) (-1130 2626071 2631150 2631247 "SFRTCAT" 2631252 NIL SFRTCAT (NIL T T T T) -9 NIL 2631291 NIL) (-1129 2619492 2620510 2621646 "SFRGCD" 2625054 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1128 2612618 2613691 2614877 "SFQCMPK" 2618425 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1127 2612238 2612327 2612438 "SFORT" 2612559 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1126 2611356 2612078 2612199 "SEXOF" 2612204 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1125 2610463 2611237 2611305 "SEX" 2611310 T SEX (NIL) -8 NIL NIL NIL) (-1124 2606244 2606959 2607054 "SEXCAT" 2609676 NIL SEXCAT (NIL T T T T T) -9 NIL 2610236 NIL) (-1123 2603397 2606178 2606226 "SET" 2606231 NIL SET (NIL T) -8 NIL NIL NIL) (-1122 2601621 2602110 2602415 "SETMN" 2603138 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1121 2601187 2601339 2601369 "SETCAT" 2601486 T SETCAT (NIL) -9 NIL 2601571 NIL) (-1120 2600967 2601019 2601118 "SETCAT-" 2601123 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1119 2597328 2599428 2599471 "SETAGG" 2600341 NIL SETAGG (NIL T) -9 NIL 2600681 NIL) (-1118 2596786 2596902 2597139 "SETAGG-" 2597144 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1117 2596229 2596482 2596583 "SEQAST" 2596707 T SEQAST (NIL) -8 NIL NIL NIL) (-1116 2595428 2595722 2595783 "SEGXCAT" 2596069 NIL SEGXCAT (NIL T T) -9 NIL 2596189 NIL) (-1115 2594434 2595094 2595276 "SEG" 2595281 NIL SEG (NIL T) -8 NIL NIL NIL) (-1114 2593413 2593627 2593670 "SEGCAT" 2594192 NIL SEGCAT (NIL T) -9 NIL 2594413 NIL) (-1113 2592345 2592776 2592984 "SEGBIND" 2593240 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1112 2591966 2592025 2592138 "SEGBIND2" 2592280 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1111 2591539 2591767 2591844 "SEGAST" 2591911 T SEGAST (NIL) -8 NIL NIL NIL) (-1110 2590758 2590884 2591088 "SEG2" 2591383 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1109 2590129 2590693 2590740 "SDVAR" 2590745 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1108 2582380 2589899 2590029 "SDPOL" 2590034 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1107 2580973 2581239 2581558 "SCPKG" 2582095 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1106 2580137 2580309 2580501 "SCOPE" 2580803 T SCOPE (NIL) -8 NIL NIL NIL) (-1105 2579357 2579491 2579670 "SCACHE" 2579992 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1104 2578989 2579175 2579205 "SASTCAT" 2579210 T SASTCAT (NIL) -9 NIL 2579223 NIL) (-1103 2578476 2578824 2578900 "SAOS" 2578935 T SAOS (NIL) -8 NIL NIL NIL) (-1102 2578041 2578076 2578249 "SAERFFC" 2578435 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1101 2571704 2577938 2578018 "SAE" 2578023 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1100 2571297 2571332 2571491 "SAEFACT" 2571663 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1099 2569618 2569932 2570333 "RURPK" 2570963 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1098 2568255 2568561 2568866 "RULESET" 2569452 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1097 2565478 2566008 2566466 "RULE" 2567936 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1096 2565090 2565272 2565355 "RULECOLD" 2565430 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1095 2564880 2564908 2564979 "RTVALUE" 2565041 T RTVALUE (NIL) -8 NIL NIL NIL) (-1094 2564351 2564597 2564691 "RSTRCAST" 2564808 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1093 2559199 2559994 2560914 "RSETGCD" 2563550 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1092 2548429 2553508 2553605 "RSETCAT" 2557724 NIL RSETCAT (NIL T T T T) -9 NIL 2558821 NIL) (-1091 2546356 2546895 2547719 "RSETCAT-" 2547724 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1090 2538742 2540118 2541638 "RSDCMPK" 2544955 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1089 2536707 2537174 2537248 "RRCC" 2538334 NIL RRCC (NIL T T) -9 NIL 2538678 NIL) (-1088 2536058 2536232 2536511 "RRCC-" 2536516 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1087 2535501 2535754 2535855 "RPTAST" 2535979 T RPTAST (NIL) -8 NIL NIL NIL) (-1086 2508977 2518613 2518680 "RPOLCAT" 2529346 NIL RPOLCAT (NIL T T T) -9 NIL 2532506 NIL) (-1085 2500475 2502815 2505937 "RPOLCAT-" 2505942 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1084 2491412 2498686 2499168 "ROUTINE" 2500015 T ROUTINE (NIL) -8 NIL NIL NIL) (-1083 2488073 2491038 2491178 "ROMAN" 2491294 T ROMAN (NIL) -8 NIL NIL NIL) (-1082 2486317 2486933 2487193 "ROIRC" 2487878 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1081 2482521 2484806 2484836 "RNS" 2485140 T RNS (NIL) -9 NIL 2485414 NIL) (-1080 2481030 2481413 2481947 "RNS-" 2482022 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1079 2480419 2480827 2480857 "RNG" 2480862 T RNG (NIL) -9 NIL 2480883 NIL) (-1078 2479422 2479784 2479986 "RNGBIND" 2480270 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1077 2478807 2479195 2479238 "RMODULE" 2479243 NIL RMODULE (NIL T) -9 NIL 2479270 NIL) (-1076 2477643 2477737 2478073 "RMCAT2" 2478708 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1075 2474493 2476989 2477286 "RMATRIX" 2477405 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1074 2467320 2469580 2469695 "RMATCAT" 2473054 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2474036 NIL) (-1073 2466695 2466842 2467149 "RMATCAT-" 2467154 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1072 2466310 2466482 2466525 "RLINSET" 2466587 NIL RLINSET (NIL T) -9 NIL 2466631 NIL) (-1071 2465877 2465952 2466080 "RINTERP" 2466229 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1070 2464921 2465475 2465505 "RING" 2465561 T RING (NIL) -9 NIL 2465653 NIL) (-1069 2464713 2464757 2464854 "RING-" 2464859 NIL RING- (NIL T) -8 NIL NIL NIL) (-1068 2463554 2463791 2464049 "RIDIST" 2464477 T RIDIST (NIL) -7 NIL NIL NIL) (-1067 2454843 2463022 2463228 "RGCHAIN" 2463402 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1066 2454179 2454585 2454626 "RGBCSPC" 2454684 NIL RGBCSPC (NIL T) -9 NIL 2454736 NIL) (-1065 2453323 2453704 2453745 "RGBCMDL" 2453977 NIL RGBCMDL (NIL T) -9 NIL 2454091 NIL) (-1064 2450317 2450931 2451601 "RF" 2452687 NIL RF (NIL T) -7 NIL NIL NIL) (-1063 2449963 2450026 2450129 "RFFACTOR" 2450248 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1062 2449688 2449723 2449820 "RFFACT" 2449922 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1061 2447805 2448169 2448551 "RFDIST" 2449328 T RFDIST (NIL) -7 NIL NIL NIL) (-1060 2447258 2447350 2447513 "RETSOL" 2447707 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1059 2446894 2446974 2447017 "RETRACT" 2447150 NIL RETRACT (NIL T) -9 NIL 2447237 NIL) (-1058 2446743 2446768 2446855 "RETRACT-" 2446860 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1057 2446345 2446565 2446635 "RETAST" 2446695 T RETAST (NIL) -8 NIL NIL NIL) (-1056 2439089 2445998 2446125 "RESULT" 2446240 T RESULT (NIL) -8 NIL NIL NIL) (-1055 2437680 2438358 2438557 "RESRING" 2438992 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1054 2437316 2437365 2437463 "RESLATC" 2437617 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1053 2437021 2437056 2437163 "REPSQ" 2437275 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1052 2434443 2435023 2435625 "REP" 2436441 T REP (NIL) -7 NIL NIL NIL) (-1051 2434140 2434175 2434286 "REPDB" 2434402 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1050 2428040 2429429 2430652 "REP2" 2432952 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1049 2424417 2425098 2425906 "REP1" 2427267 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1048 2417113 2422558 2423014 "REGSET" 2424047 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1047 2415878 2416261 2416511 "REF" 2416898 NIL REF (NIL T) -8 NIL NIL NIL) (-1046 2415255 2415358 2415525 "REDORDER" 2415762 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1045 2411223 2414468 2414695 "RECLOS" 2415083 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1044 2410275 2410456 2410671 "REALSOLV" 2411030 T REALSOLV (NIL) -7 NIL NIL NIL) (-1043 2410121 2410162 2410192 "REAL" 2410197 T REAL (NIL) -9 NIL 2410232 NIL) (-1042 2406604 2407406 2408290 "REAL0Q" 2409286 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1041 2402205 2403193 2404254 "REAL0" 2405585 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1040 2401676 2401922 2402016 "RDUCEAST" 2402133 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1039 2401081 2401153 2401360 "RDIV" 2401598 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1038 2400149 2400323 2400536 "RDIST" 2400903 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1037 2398746 2399033 2399405 "RDETRS" 2399857 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1036 2396558 2397012 2397550 "RDETR" 2398288 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1035 2395183 2395461 2395858 "RDEEFS" 2396274 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1034 2393692 2393998 2394423 "RDEEF" 2394871 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1033 2387725 2390646 2390676 "RCFIELD" 2391971 T RCFIELD (NIL) -9 NIL 2392702 NIL) (-1032 2385789 2386293 2386989 "RCFIELD-" 2387064 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1031 2382033 2383862 2383905 "RCAGG" 2384989 NIL RCAGG (NIL T) -9 NIL 2385454 NIL) (-1030 2381661 2381755 2381918 "RCAGG-" 2381923 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1029 2380996 2381108 2381273 "RATRET" 2381545 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1028 2380549 2380616 2380737 "RATFACT" 2380924 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1027 2379857 2379977 2380129 "RANDSRC" 2380419 T RANDSRC (NIL) -7 NIL NIL NIL) (-1026 2379591 2379635 2379708 "RADUTIL" 2379806 T RADUTIL (NIL) -7 NIL NIL NIL) (-1025 2372419 2378422 2378733 "RADIX" 2379314 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1024 2362879 2372261 2372391 "RADFF" 2372396 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-1023 2362526 2362601 2362631 "RADCAT" 2362791 T RADCAT (NIL) -9 NIL NIL NIL) (-1022 2362308 2362356 2362456 "RADCAT-" 2362461 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-1021 2360409 2362078 2362170 "QUEUE" 2362251 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-1020 2356670 2360342 2360390 "QUAT" 2360395 NIL QUAT (NIL T) -8 NIL NIL NIL) (-1019 2356301 2356344 2356475 "QUATCT2" 2356621 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-1018 2349099 2352724 2352766 "QUATCAT" 2353557 NIL QUATCAT (NIL T) -9 NIL 2354323 NIL) (-1017 2345238 2346275 2347665 "QUATCAT-" 2347761 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-1016 2342678 2344286 2344329 "QUAGG" 2344710 NIL QUAGG (NIL T) -9 NIL 2344885 NIL) (-1015 2342280 2342500 2342570 "QQUTAST" 2342630 T QQUTAST (NIL) -8 NIL NIL NIL) (-1014 2341293 2341793 2341958 "QFORM" 2342161 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-1013 2331625 2337140 2337182 "QFCAT" 2337850 NIL QFCAT (NIL T) -9 NIL 2338851 NIL) (-1012 2327192 2328393 2329987 "QFCAT-" 2330083 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-1011 2326823 2326866 2326997 "QFCAT2" 2327143 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-1010 2326278 2326388 2326520 "QEQUAT" 2326713 T QEQUAT (NIL) -8 NIL NIL NIL) (-1009 2319404 2320477 2321663 "QCMPACK" 2325211 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-1008 2316942 2317390 2317820 "QALGSET" 2319059 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-1007 2316177 2316353 2316589 "QALGSET2" 2316760 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-1006 2314862 2315086 2315405 "PWFFINTB" 2315950 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-1005 2313037 2313205 2313561 "PUSHVAR" 2314676 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-1004 2308926 2309980 2310023 "PTRANFN" 2311934 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-1003 2307317 2307608 2307932 "PTPACK" 2308637 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-1002 2306946 2307003 2307114 "PTFUNC2" 2307254 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-1001 2301341 2305735 2305778 "PTCAT" 2306078 NIL PTCAT (NIL T) -9 NIL 2306231 NIL) (-1000 2300996 2301031 2301157 "PSQFR" 2301300 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-999 2299591 2299889 2300223 "PSEUDLIN" 2300694 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-998 2286354 2288725 2291049 "PSETPK" 2297351 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-997 2279372 2282112 2282208 "PSETCAT" 2285229 NIL PSETCAT (NIL T T T T) -9 NIL 2286043 NIL) (-996 2277208 2277842 2278663 "PSETCAT-" 2278668 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-995 2276557 2276722 2276750 "PSCURVE" 2277018 T PSCURVE (NIL) -9 NIL 2277185 NIL) (-994 2272541 2274057 2274122 "PSCAT" 2274966 NIL PSCAT (NIL T T T) -9 NIL 2275206 NIL) (-993 2271604 2271820 2272220 "PSCAT-" 2272225 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-992 2269963 2270673 2270936 "PRTITION" 2271361 T PRTITION (NIL) -8 NIL NIL NIL) (-991 2269438 2269684 2269776 "PRTDAST" 2269891 T PRTDAST (NIL) -8 NIL NIL NIL) (-990 2258528 2260742 2262930 "PRS" 2267300 NIL PRS (NIL T T) -7 NIL NIL NIL) (-989 2256314 2257850 2257890 "PRQAGG" 2258073 NIL PRQAGG (NIL T) -9 NIL 2258175 NIL) (-988 2255650 2255955 2255983 "PROPLOG" 2256122 T PROPLOG (NIL) -9 NIL 2256237 NIL) (-987 2255254 2255311 2255434 "PROPFUN2" 2255573 NIL PROPFUN2 (NIL T T) -8 NIL NIL NIL) (-986 2254569 2254690 2254862 "PROPFUN1" 2255115 NIL PROPFUN1 (NIL T) -8 NIL NIL NIL) (-985 2252750 2253316 2253613 "PROPFRML" 2254305 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-984 2252219 2252326 2252454 "PROPERTY" 2252642 T PROPERTY (NIL) -8 NIL NIL NIL) (-983 2246277 2250385 2251205 "PRODUCT" 2251445 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-982 2243555 2245735 2245969 "PR" 2246088 NIL PR (NIL T T) -8 NIL NIL NIL) (-981 2243351 2243383 2243442 "PRINT" 2243516 T PRINT (NIL) -7 NIL NIL NIL) (-980 2242691 2242808 2242960 "PRIMES" 2243231 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-979 2240756 2241157 2241623 "PRIMELT" 2242270 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-978 2240485 2240534 2240562 "PRIMCAT" 2240686 T PRIMCAT (NIL) -9 NIL NIL NIL) (-977 2236603 2240423 2240468 "PRIMARR" 2240473 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-976 2235610 2235788 2236016 "PRIMARR2" 2236421 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-975 2235253 2235309 2235420 "PREASSOC" 2235548 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-974 2234728 2234861 2234889 "PPCURVE" 2235094 T PPCURVE (NIL) -9 NIL 2235230 NIL) (-973 2234323 2234523 2234606 "PORTNUM" 2234665 T PORTNUM (NIL) -8 NIL NIL NIL) (-972 2231682 2232081 2232673 "POLYROOT" 2233904 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-971 2225588 2231286 2231446 "POLY" 2231555 NIL POLY (NIL T) -8 NIL NIL NIL) (-970 2224971 2225029 2225263 "POLYLIFT" 2225524 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-969 2221246 2221695 2222324 "POLYCATQ" 2224516 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-968 2207588 2212993 2213058 "POLYCAT" 2216572 NIL POLYCAT (NIL T T T) -9 NIL 2218450 NIL) (-967 2201037 2202899 2205283 "POLYCAT-" 2205288 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-966 2200624 2200692 2200812 "POLY2UP" 2200963 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-965 2200256 2200313 2200422 "POLY2" 2200561 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-964 2198941 2199180 2199456 "POLUTIL" 2200030 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-963 2197296 2197573 2197904 "POLTOPOL" 2198663 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-962 2192762 2197230 2197277 "POINT" 2197282 NIL POINT (NIL T) -8 NIL NIL NIL) (-961 2190949 2191306 2191681 "PNTHEORY" 2192407 T PNTHEORY (NIL) -7 NIL NIL NIL) (-960 2189407 2189704 2190103 "PMTOOLS" 2190647 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-959 2189000 2189078 2189195 "PMSYM" 2189323 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-958 2188508 2188577 2188752 "PMQFCAT" 2188925 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-957 2187863 2187973 2188129 "PMPRED" 2188385 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-956 2187256 2187342 2187504 "PMPREDFS" 2187764 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-955 2185920 2186128 2186506 "PMPLCAT" 2187018 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-954 2185452 2185531 2185683 "PMLSAGG" 2185835 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-953 2184925 2185001 2185183 "PMKERNEL" 2185370 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-952 2184542 2184617 2184730 "PMINS" 2184844 NIL PMINS (NIL T) -7 NIL NIL NIL) (-951 2183984 2184053 2184262 "PMFS" 2184467 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-950 2183212 2183330 2183535 "PMDOWN" 2183861 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-949 2182379 2182537 2182718 "PMASS" 2183051 T PMASS (NIL) -7 NIL NIL NIL) (-948 2181652 2181762 2181925 "PMASSFS" 2182266 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-947 2181307 2181375 2181469 "PLOTTOOL" 2181578 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-946 2175914 2177118 2178266 "PLOT" 2180179 T PLOT (NIL) -8 NIL NIL NIL) (-945 2171718 2172762 2173683 "PLOT3D" 2175013 T PLOT3D (NIL) -8 NIL NIL NIL) (-944 2170630 2170807 2171042 "PLOT1" 2171522 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-943 2146021 2150696 2155547 "PLEQN" 2165896 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-942 2145339 2145461 2145641 "PINTERP" 2145886 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-941 2145032 2145079 2145182 "PINTERPA" 2145286 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-940 2144248 2144796 2144883 "PI" 2144923 T PI (NIL) -8 NIL NIL 2144990) (-939 2142531 2143506 2143534 "PID" 2143716 T PID (NIL) -9 NIL 2143850 NIL) (-938 2142282 2142319 2142394 "PICOERCE" 2142488 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-937 2141602 2141741 2141917 "PGROEB" 2142138 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-936 2137189 2138003 2138908 "PGE" 2140717 T PGE (NIL) -7 NIL NIL NIL) (-935 2135312 2135559 2135925 "PGCD" 2136906 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-934 2134650 2134753 2134914 "PFRPAC" 2135196 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-933 2131290 2133198 2133551 "PFR" 2134329 NIL PFR (NIL T) -8 NIL NIL NIL) (-932 2129679 2129923 2130248 "PFOTOOLS" 2131037 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-931 2128212 2128451 2128802 "PFOQ" 2129436 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-930 2126713 2126925 2127281 "PFO" 2127996 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-929 2123266 2126602 2126671 "PF" 2126676 NIL PF (NIL NIL) -8 NIL NIL NIL) (-928 2120586 2121857 2121885 "PFECAT" 2122470 T PFECAT (NIL) -9 NIL 2122854 NIL) (-927 2120031 2120185 2120399 "PFECAT-" 2120404 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-926 2118634 2118886 2119187 "PFBRU" 2119780 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-925 2116500 2116852 2117284 "PFBR" 2118285 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-924 2112546 2114012 2114659 "PERM" 2115886 NIL PERM (NIL T) -8 NIL NIL NIL) (-923 2107780 2108753 2109623 "PERMGRP" 2111709 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-922 2105844 2106804 2106845 "PERMCAT" 2107245 NIL PERMCAT (NIL T) -9 NIL 2107543 NIL) (-921 2105497 2105538 2105662 "PERMAN" 2105797 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-920 2102988 2105162 2105284 "PENDTREE" 2105408 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-919 2101917 2102132 2102173 "PDSPC" 2102706 NIL PDSPC (NIL T) -9 NIL 2102951 NIL) (-918 2101020 2101238 2101600 "PDSPC-" 2101605 NIL PDSPC- (NIL T T) -8 NIL NIL NIL) (-917 2099902 2100670 2100711 "PDRING" 2100716 NIL PDRING (NIL T) -9 NIL 2100744 NIL) (-916 2098789 2099407 2099461 "PDMOD" 2099466 NIL PDMOD (NIL T T) -9 NIL 2099570 NIL) (-915 2096004 2096782 2097450 "PDEPROB" 2098141 T PDEPROB (NIL) -8 NIL NIL NIL) (-914 2093549 2094053 2094608 "PDEPACK" 2095469 T PDEPACK (NIL) -7 NIL NIL NIL) (-913 2092461 2092651 2092902 "PDECOMP" 2093348 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-912 2090026 2090869 2090897 "PDECAT" 2091684 T PDECAT (NIL) -9 NIL 2092397 NIL) (-911 2089655 2089710 2089764 "PDDOM" 2089929 NIL PDDOM (NIL T T) -9 NIL 2090009 NIL) (-910 2089474 2089504 2089611 "PDDOM-" 2089616 NIL PDDOM- (NIL T T T) -8 NIL NIL NIL) (-909 2089225 2089258 2089348 "PCOMP" 2089435 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-908 2087403 2088026 2088323 "PBWLB" 2088954 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-907 2079876 2081476 2082814 "PATTERN" 2086086 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-906 2079508 2079565 2079674 "PATTERN2" 2079813 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-905 2077265 2077653 2078110 "PATTERN1" 2079097 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-904 2074633 2075214 2075695 "PATRES" 2076830 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-903 2074197 2074264 2074396 "PATRES2" 2074560 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-902 2072080 2072485 2072892 "PATMATCH" 2073864 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-901 2071576 2071785 2071826 "PATMAB" 2071933 NIL PATMAB (NIL T) -9 NIL 2072016 NIL) (-900 2070094 2070430 2070688 "PATLRES" 2071381 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-899 2069640 2069763 2069804 "PATAB" 2069809 NIL PATAB (NIL T) -9 NIL 2069981 NIL) (-898 2067822 2068217 2068640 "PARTPERM" 2069237 T PARTPERM (NIL) -7 NIL NIL NIL) (-897 2067443 2067506 2067608 "PARSURF" 2067753 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-896 2067075 2067132 2067241 "PARSU2" 2067380 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-895 2066839 2066879 2066946 "PARSER" 2067028 T PARSER (NIL) -7 NIL NIL NIL) (-894 2066460 2066523 2066625 "PARSCURV" 2066770 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-893 2066092 2066149 2066258 "PARSC2" 2066397 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-892 2065731 2065789 2065886 "PARPCURV" 2066028 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-891 2065363 2065420 2065529 "PARPC2" 2065668 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-890 2064424 2064736 2064918 "PARAMAST" 2065201 T PARAMAST (NIL) -8 NIL NIL NIL) (-889 2063944 2064030 2064149 "PAN2EXPR" 2064325 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-888 2062721 2063065 2063293 "PALETTE" 2063736 T PALETTE (NIL) -8 NIL NIL NIL) (-887 2061114 2061726 2062086 "PAIR" 2062407 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-886 2054706 2060371 2060566 "PADICRC" 2060968 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-885 2047622 2054050 2054235 "PADICRAT" 2054553 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-884 2045937 2047559 2047604 "PADIC" 2047609 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-883 2043033 2044597 2044637 "PADICCT" 2045218 NIL PADICCT (NIL NIL) -9 NIL 2045500 NIL) (-882 2041990 2042190 2042458 "PADEPAC" 2042820 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-881 2041202 2041335 2041541 "PADE" 2041852 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-880 2039589 2040410 2040690 "OWP" 2041006 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-879 2039082 2039295 2039392 "OVERSET" 2039512 T OVERSET (NIL) -8 NIL NIL NIL) (-878 2038128 2038687 2038859 "OVAR" 2038950 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-877 2037392 2037513 2037674 "OUT" 2037987 T OUT (NIL) -7 NIL NIL NIL) (-876 2026264 2028501 2030701 "OUTFORM" 2035212 T OUTFORM (NIL) -8 NIL NIL NIL) (-875 2025600 2025861 2025988 "OUTBFILE" 2026157 T OUTBFILE (NIL) -8 NIL NIL NIL) (-874 2024907 2025072 2025100 "OUTBCON" 2025418 T OUTBCON (NIL) -9 NIL 2025584 NIL) (-873 2024508 2024620 2024777 "OUTBCON-" 2024782 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-872 2023888 2024237 2024326 "OSI" 2024439 T OSI (NIL) -8 NIL NIL NIL) (-871 2023391 2023729 2023757 "OSGROUP" 2023762 T OSGROUP (NIL) -9 NIL 2023784 NIL) (-870 2022136 2022363 2022648 "ORTHPOL" 2023138 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-869 2019687 2021971 2022092 "OREUP" 2022097 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-868 2017090 2019378 2019505 "ORESUP" 2019629 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-867 2014618 2015118 2015679 "OREPCTO" 2016579 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-866 2008290 2010491 2010532 "OREPCAT" 2012880 NIL OREPCAT (NIL T) -9 NIL 2013984 NIL) (-865 2005437 2006219 2007277 "OREPCAT-" 2007282 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-864 2004684 2004907 2004935 "ORDTYPE" 2005244 T ORDTYPE (NIL) -9 NIL 2005407 NIL) (-863 2004027 2004201 2004456 "ORDTYPE-" 2004461 NIL ORDTYPE- (NIL T) -8 NIL NIL NIL) (-862 2003641 2003910 2003996 "ORDSTRCT" 2004001 NIL ORDSTRCT (NIL T NIL) -8 NIL NIL NIL) (-861 2003211 2003509 2003537 "ORDSET" 2003542 T ORDSET (NIL) -9 NIL 2003564 NIL) (-860 2001749 2002540 2002568 "ORDRING" 2002770 T ORDRING (NIL) -9 NIL 2002895 NIL) (-859 2001394 2001488 2001632 "ORDRING-" 2001637 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-858 2000747 2001210 2001238 "ORDMON" 2001243 T ORDMON (NIL) -9 NIL 2001264 NIL) (-857 1999909 2000056 2000251 "ORDFUNS" 2000596 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-856 1999220 1999639 1999667 "ORDFIN" 1999732 T ORDFIN (NIL) -9 NIL 1999806 NIL) (-855 1995779 1997806 1998215 "ORDCOMP" 1998844 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-854 1995045 1995172 1995358 "ORDCOMP2" 1995639 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-853 1991626 1992536 1993350 "OPTPROB" 1994251 T OPTPROB (NIL) -8 NIL NIL NIL) (-852 1988428 1989067 1989771 "OPTPACK" 1990942 T OPTPACK (NIL) -7 NIL NIL NIL) (-851 1986101 1986867 1986895 "OPTCAT" 1987714 T OPTCAT (NIL) -9 NIL 1988364 NIL) (-850 1985485 1985778 1985883 "OPSIG" 1986016 T OPSIG (NIL) -8 NIL NIL NIL) (-849 1985253 1985292 1985358 "OPQUERY" 1985439 T OPQUERY (NIL) -7 NIL NIL NIL) (-848 1982384 1983564 1984068 "OP" 1984782 NIL OP (NIL T) -8 NIL NIL NIL) (-847 1981744 1981970 1982011 "OPERCAT" 1982223 NIL OPERCAT (NIL T) -9 NIL 1982320 NIL) (-846 1981499 1981555 1981672 "OPERCAT-" 1981677 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-845 1978312 1980296 1980665 "ONECOMP" 1981163 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-844 1977617 1977732 1977906 "ONECOMP2" 1978184 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-843 1977036 1977142 1977272 "OMSERVER" 1977507 T OMSERVER (NIL) -7 NIL NIL NIL) (-842 1973898 1976476 1976516 "OMSAGG" 1976577 NIL OMSAGG (NIL T) -9 NIL 1976641 NIL) (-841 1972521 1972784 1973066 "OMPKG" 1973636 T OMPKG (NIL) -7 NIL NIL NIL) (-840 1971951 1972054 1972082 "OM" 1972381 T OM (NIL) -9 NIL NIL NIL) (-839 1970498 1971500 1971669 "OMLO" 1971832 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-838 1969458 1969605 1969825 "OMEXPR" 1970324 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-837 1968749 1969004 1969140 "OMERR" 1969342 T OMERR (NIL) -8 NIL NIL NIL) (-836 1967900 1968170 1968330 "OMERRK" 1968609 T OMERRK (NIL) -8 NIL NIL NIL) (-835 1967351 1967577 1967685 "OMENC" 1967812 T OMENC (NIL) -8 NIL NIL NIL) (-834 1961246 1962431 1963602 "OMDEV" 1966200 T OMDEV (NIL) -8 NIL NIL NIL) (-833 1960315 1960486 1960680 "OMCONN" 1961072 T OMCONN (NIL) -8 NIL NIL NIL) (-832 1958809 1959785 1959813 "OINTDOM" 1959818 T OINTDOM (NIL) -9 NIL 1959839 NIL) (-831 1956147 1957497 1957834 "OFMONOID" 1958504 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-830 1955519 1956084 1956129 "ODVAR" 1956134 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-829 1952942 1955264 1955419 "ODR" 1955424 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-828 1945247 1952718 1952844 "ODPOL" 1952849 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-827 1939046 1945119 1945224 "ODP" 1945229 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-826 1937812 1938027 1938302 "ODETOOLS" 1938820 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-825 1934779 1935437 1936153 "ODESYS" 1937145 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-824 1929661 1930569 1931594 "ODERTRIC" 1933854 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-823 1929087 1929169 1929363 "ODERED" 1929573 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-822 1925975 1926523 1927200 "ODERAT" 1928510 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-821 1922934 1923399 1923996 "ODEPRRIC" 1925504 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-820 1920877 1921473 1921959 "ODEPROB" 1922468 T ODEPROB (NIL) -8 NIL NIL NIL) (-819 1917397 1917882 1918529 "ODEPRIM" 1920356 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-818 1916646 1916748 1917008 "ODEPAL" 1917289 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-817 1912808 1913599 1914463 "ODEPACK" 1915802 T ODEPACK (NIL) -7 NIL NIL NIL) (-816 1911869 1911976 1912198 "ODEINT" 1912697 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-815 1905970 1907395 1908842 "ODEIFTBL" 1910442 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-814 1901368 1902154 1903106 "ODEEF" 1905129 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-813 1900717 1900806 1901029 "ODECONST" 1901273 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-812 1898828 1899489 1899517 "ODECAT" 1900122 T ODECAT (NIL) -9 NIL 1900653 NIL) (-811 1895683 1898533 1898655 "OCT" 1898738 NIL OCT (NIL T) -8 NIL NIL NIL) (-810 1895321 1895364 1895491 "OCTCT2" 1895634 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-809 1889928 1892364 1892404 "OC" 1893501 NIL OC (NIL T) -9 NIL 1894359 NIL) (-808 1887155 1887903 1888893 "OC-" 1888987 NIL OC- (NIL T T) -8 NIL NIL NIL) (-807 1886480 1886948 1886976 "OCAMON" 1886981 T OCAMON (NIL) -9 NIL 1887002 NIL) (-806 1885984 1886325 1886353 "OASGP" 1886358 T OASGP (NIL) -9 NIL 1886378 NIL) (-805 1885218 1885707 1885735 "OAMONS" 1885775 T OAMONS (NIL) -9 NIL 1885818 NIL) (-804 1884605 1885038 1885066 "OAMON" 1885071 T OAMON (NIL) -9 NIL 1885091 NIL) (-803 1883836 1884354 1884382 "OAGROUP" 1884387 T OAGROUP (NIL) -9 NIL 1884407 NIL) (-802 1883526 1883576 1883664 "NUMTUBE" 1883780 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-801 1877099 1878617 1880153 "NUMQUAD" 1882010 T NUMQUAD (NIL) -7 NIL NIL NIL) (-800 1872855 1873843 1874868 "NUMODE" 1876094 T NUMODE (NIL) -7 NIL NIL NIL) (-799 1870196 1871076 1871104 "NUMINT" 1872027 T NUMINT (NIL) -9 NIL 1872791 NIL) (-798 1869144 1869341 1869559 "NUMFMT" 1869998 T NUMFMT (NIL) -7 NIL NIL NIL) (-797 1855503 1858448 1860980 "NUMERIC" 1866651 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-796 1849873 1854952 1855047 "NTSCAT" 1855052 NIL NTSCAT (NIL T T T T) -9 NIL 1855091 NIL) (-795 1849067 1849232 1849425 "NTPOLFN" 1849712 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-794 1836868 1845892 1846704 "NSUP" 1848288 NIL NSUP (NIL T) -8 NIL NIL NIL) (-793 1836500 1836557 1836666 "NSUP2" 1836805 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-792 1826450 1836274 1836407 "NSMP" 1836412 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-791 1824882 1825183 1825540 "NREP" 1826138 NIL NREP (NIL T) -7 NIL NIL NIL) (-790 1823473 1823725 1824083 "NPCOEF" 1824625 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-789 1822539 1822654 1822870 "NORMRETR" 1823354 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-788 1820580 1820870 1821279 "NORMPK" 1822247 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-787 1820265 1820293 1820417 "NORMMA" 1820546 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-786 1820065 1820222 1820251 "NONE" 1820256 T NONE (NIL) -8 NIL NIL NIL) (-785 1819854 1819883 1819952 "NONE1" 1820029 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-784 1819351 1819413 1819592 "NODE1" 1819786 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-783 1817632 1818483 1818738 "NNI" 1819085 T NNI (NIL) -8 NIL NIL 1819320) (-782 1816052 1816365 1816729 "NLINSOL" 1817300 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-781 1812293 1813288 1814187 "NIPROB" 1815173 T NIPROB (NIL) -8 NIL NIL NIL) (-780 1811050 1811284 1811586 "NFINTBAS" 1812055 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-779 1810224 1810700 1810741 "NETCLT" 1810913 NIL NETCLT (NIL T) -9 NIL 1810995 NIL) (-778 1808932 1809163 1809444 "NCODIV" 1809992 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-777 1808694 1808731 1808806 "NCNTFRAC" 1808889 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-776 1806874 1807238 1807658 "NCEP" 1808319 NIL NCEP (NIL T) -7 NIL NIL NIL) (-775 1805711 1806484 1806512 "NASRING" 1806622 T NASRING (NIL) -9 NIL 1806702 NIL) (-774 1805506 1805550 1805644 "NASRING-" 1805649 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-773 1804599 1805124 1805152 "NARNG" 1805269 T NARNG (NIL) -9 NIL 1805360 NIL) (-772 1804291 1804358 1804492 "NARNG-" 1804497 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-771 1803170 1803377 1803612 "NAGSP" 1804076 T NAGSP (NIL) -7 NIL NIL NIL) (-770 1794442 1796126 1797799 "NAGS" 1801517 T NAGS (NIL) -7 NIL NIL NIL) (-769 1792990 1793298 1793629 "NAGF07" 1794131 T NAGF07 (NIL) -7 NIL NIL NIL) (-768 1787528 1788819 1790126 "NAGF04" 1791703 T NAGF04 (NIL) -7 NIL NIL NIL) (-767 1780496 1782110 1783743 "NAGF02" 1785915 T NAGF02 (NIL) -7 NIL NIL NIL) (-766 1775720 1776820 1777937 "NAGF01" 1779399 T NAGF01 (NIL) -7 NIL NIL NIL) (-765 1769348 1770914 1772499 "NAGE04" 1774155 T NAGE04 (NIL) -7 NIL NIL NIL) (-764 1760517 1762638 1764768 "NAGE02" 1767238 T NAGE02 (NIL) -7 NIL NIL NIL) (-763 1756470 1757417 1758381 "NAGE01" 1759573 T NAGE01 (NIL) -7 NIL NIL NIL) (-762 1754265 1754799 1755357 "NAGD03" 1755932 T NAGD03 (NIL) -7 NIL NIL NIL) (-761 1746015 1747943 1749897 "NAGD02" 1752331 T NAGD02 (NIL) -7 NIL NIL NIL) (-760 1739826 1741251 1742691 "NAGD01" 1744595 T NAGD01 (NIL) -7 NIL NIL NIL) (-759 1736035 1736857 1737694 "NAGC06" 1739009 T NAGC06 (NIL) -7 NIL NIL NIL) (-758 1734500 1734832 1735188 "NAGC05" 1735699 T NAGC05 (NIL) -7 NIL NIL NIL) (-757 1733876 1733995 1734139 "NAGC02" 1734376 T NAGC02 (NIL) -7 NIL NIL NIL) (-756 1732821 1733404 1733444 "NAALG" 1733523 NIL NAALG (NIL T) -9 NIL 1733584 NIL) (-755 1732656 1732685 1732775 "NAALG-" 1732780 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-754 1726606 1727714 1728901 "MULTSQFR" 1731552 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-753 1725925 1726000 1726184 "MULTFACT" 1726518 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-752 1718596 1722510 1722563 "MTSCAT" 1723633 NIL MTSCAT (NIL T T) -9 NIL 1724148 NIL) (-751 1718308 1718362 1718454 "MTHING" 1718536 NIL MTHING (NIL T) -7 NIL NIL NIL) (-750 1718100 1718133 1718193 "MSYSCMD" 1718268 T MSYSCMD (NIL) -7 NIL NIL NIL) (-749 1714182 1716855 1717175 "MSET" 1717813 NIL MSET (NIL T) -8 NIL NIL NIL) (-748 1711251 1713743 1713784 "MSETAGG" 1713789 NIL MSETAGG (NIL T) -9 NIL 1713823 NIL) (-747 1707093 1708630 1709375 "MRING" 1710551 NIL MRING (NIL T T) -8 NIL NIL NIL) (-746 1706659 1706726 1706857 "MRF2" 1707020 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-745 1706277 1706312 1706456 "MRATFAC" 1706618 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-744 1703889 1704184 1704615 "MPRFF" 1705982 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-743 1697910 1703743 1703840 "MPOLY" 1703845 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-742 1697400 1697435 1697643 "MPCPF" 1697869 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-741 1696914 1696957 1697141 "MPC3" 1697351 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-740 1696109 1696190 1696411 "MPC2" 1696829 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-739 1694410 1694747 1695137 "MONOTOOL" 1695769 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-738 1693621 1693938 1693966 "MONOID" 1694185 T MONOID (NIL) -9 NIL 1694332 NIL) (-737 1693167 1693286 1693467 "MONOID-" 1693472 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-736 1682757 1688987 1689046 "MONOGEN" 1689720 NIL MONOGEN (NIL T T) -9 NIL 1690176 NIL) (-735 1679975 1680710 1681710 "MONOGEN-" 1681829 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-734 1678794 1679240 1679268 "MONADWU" 1679660 T MONADWU (NIL) -9 NIL 1679898 NIL) (-733 1678166 1678325 1678573 "MONADWU-" 1678578 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-732 1677511 1677755 1677783 "MONAD" 1677990 T MONAD (NIL) -9 NIL 1678102 NIL) (-731 1677196 1677274 1677406 "MONAD-" 1677411 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-730 1675485 1676109 1676388 "MOEBIUS" 1676949 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-729 1674749 1675153 1675193 "MODULE" 1675198 NIL MODULE (NIL T) -9 NIL 1675237 NIL) (-728 1674317 1674413 1674603 "MODULE-" 1674608 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-727 1671997 1672681 1673008 "MODRING" 1674141 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-726 1668941 1670102 1670623 "MODOP" 1671526 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-725 1667529 1668008 1668285 "MODMONOM" 1668804 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-724 1657297 1665820 1666234 "MODMON" 1667166 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-723 1654453 1656141 1656417 "MODFIELD" 1657172 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-722 1653430 1653734 1653924 "MMLFORM" 1654283 T MMLFORM (NIL) -8 NIL NIL NIL) (-721 1652956 1652999 1653178 "MMAP" 1653381 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-720 1651021 1651788 1651829 "MLO" 1652252 NIL MLO (NIL T) -9 NIL 1652494 NIL) (-719 1648387 1648903 1649505 "MLIFT" 1650502 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-718 1647778 1647862 1648016 "MKUCFUNC" 1648298 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-717 1647377 1647447 1647570 "MKRECORD" 1647701 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-716 1646424 1646586 1646814 "MKFUNC" 1647188 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-715 1645812 1645916 1646072 "MKFLCFN" 1646307 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-714 1645089 1645191 1645376 "MKBCFUNC" 1645705 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-713 1641678 1644643 1644779 "MINT" 1644973 T MINT (NIL) -8 NIL NIL NIL) (-712 1640490 1640733 1641010 "MHROWRED" 1641433 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-711 1635870 1639025 1639430 "MFLOAT" 1640105 T MFLOAT (NIL) -8 NIL NIL NIL) (-710 1635227 1635303 1635474 "MFINFACT" 1635782 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-709 1631542 1632390 1633274 "MESH" 1634363 T MESH (NIL) -7 NIL NIL NIL) (-708 1629932 1630244 1630597 "MDDFACT" 1631229 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-707 1626702 1629063 1629104 "MDAGG" 1629359 NIL MDAGG (NIL T) -9 NIL 1629502 NIL) (-706 1615396 1625995 1626202 "MCMPLX" 1626515 T MCMPLX (NIL) -8 NIL NIL NIL) (-705 1614533 1614679 1614880 "MCDEN" 1615245 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-704 1612423 1612693 1613073 "MCALCFN" 1614263 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-703 1611348 1611588 1611821 "MAYBE" 1612229 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-702 1608960 1609483 1610045 "MATSTOR" 1610819 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-701 1604872 1608332 1608580 "MATRIX" 1608745 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-700 1600638 1601345 1602081 "MATLIN" 1604229 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-699 1590464 1593695 1593772 "MATCAT" 1598804 NIL MATCAT (NIL T T T) -9 NIL 1600276 NIL) (-698 1586657 1587727 1589140 "MATCAT-" 1589145 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-697 1585251 1585404 1585737 "MATCAT2" 1586492 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-696 1583363 1583687 1584071 "MAPPKG3" 1584926 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-695 1582344 1582517 1582739 "MAPPKG2" 1583187 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-694 1580843 1581127 1581454 "MAPPKG1" 1582050 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-693 1579922 1580249 1580426 "MAPPAST" 1580686 T MAPPAST (NIL) -8 NIL NIL NIL) (-692 1579533 1579591 1579714 "MAPHACK3" 1579858 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-691 1579125 1579186 1579300 "MAPHACK2" 1579465 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-690 1578563 1578666 1578808 "MAPHACK1" 1579016 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-689 1576642 1577263 1577567 "MAGMA" 1578291 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-688 1576121 1576366 1576457 "MACROAST" 1576571 T MACROAST (NIL) -8 NIL NIL NIL) (-687 1572542 1574360 1574821 "M3D" 1575693 NIL M3D (NIL T) -8 NIL NIL NIL) (-686 1566592 1570853 1570894 "LZSTAGG" 1571676 NIL LZSTAGG (NIL T) -9 NIL 1571971 NIL) (-685 1562550 1563723 1565180 "LZSTAGG-" 1565185 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-684 1559637 1560441 1560928 "LWORD" 1562095 NIL LWORD (NIL T) -8 NIL NIL NIL) (-683 1559213 1559441 1559516 "LSTAST" 1559582 T LSTAST (NIL) -8 NIL NIL NIL) (-682 1552103 1558984 1559118 "LSQM" 1559123 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-681 1551327 1551466 1551694 "LSPP" 1551958 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-680 1549139 1549440 1549896 "LSMP" 1551016 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-679 1545918 1546592 1547322 "LSMP1" 1548441 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-678 1539720 1545008 1545049 "LSAGG" 1545111 NIL LSAGG (NIL T) -9 NIL 1545189 NIL) (-677 1536415 1537339 1538552 "LSAGG-" 1538557 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-676 1534014 1535559 1535808 "LPOLY" 1536210 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-675 1533596 1533681 1533804 "LPEFRAC" 1533923 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-674 1531917 1532690 1532943 "LO" 1533428 NIL LO (NIL T T T) -8 NIL NIL NIL) (-673 1531529 1531667 1531695 "LOGIC" 1531806 T LOGIC (NIL) -9 NIL 1531887 NIL) (-672 1531391 1531414 1531485 "LOGIC-" 1531490 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-671 1530584 1530724 1530917 "LODOOPS" 1531247 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-670 1528007 1530500 1530566 "LODO" 1530571 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-669 1526545 1526780 1527133 "LODOF" 1527754 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-668 1522749 1525180 1525221 "LODOCAT" 1525659 NIL LODOCAT (NIL T) -9 NIL 1525870 NIL) (-667 1522482 1522540 1522667 "LODOCAT-" 1522672 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-666 1519802 1522323 1522441 "LODO2" 1522446 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-665 1517237 1519739 1519784 "LODO1" 1519789 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-664 1516118 1516283 1516588 "LODEEF" 1517060 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-663 1511396 1514284 1514325 "LNAGG" 1515187 NIL LNAGG (NIL T) -9 NIL 1515622 NIL) (-662 1510543 1510757 1511099 "LNAGG-" 1511104 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-661 1506679 1507468 1508107 "LMOPS" 1509958 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-660 1506068 1506456 1506497 "LMODULE" 1506502 NIL LMODULE (NIL T) -9 NIL 1506528 NIL) (-659 1503269 1505713 1505836 "LMDICT" 1505978 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-658 1502887 1503059 1503100 "LLINSET" 1503161 NIL LLINSET (NIL T) -9 NIL 1503205 NIL) (-657 1502586 1502795 1502855 "LITERAL" 1502860 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-656 1495752 1501520 1501824 "LIST" 1502315 NIL LIST (NIL T) -8 NIL NIL NIL) (-655 1495277 1495351 1495490 "LIST3" 1495672 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-654 1494284 1494462 1494690 "LIST2" 1495095 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-653 1492418 1492730 1493129 "LIST2MAP" 1493931 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-652 1492049 1492237 1492278 "LINSET" 1492283 NIL LINSET (NIL T) -9 NIL 1492317 NIL) (-651 1490462 1491076 1491117 "LINEXP" 1491607 NIL LINEXP (NIL T) -9 NIL 1491880 NIL) (-650 1489039 1489299 1489610 "LINDEP" 1490214 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-649 1485806 1486525 1487302 "LIMITRF" 1488294 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-648 1484109 1484405 1484814 "LIMITPS" 1485501 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-647 1478537 1483620 1483848 "LIE" 1483930 NIL LIE (NIL T T) -8 NIL NIL NIL) (-646 1477471 1477940 1477980 "LIECAT" 1478120 NIL LIECAT (NIL T) -9 NIL 1478271 NIL) (-645 1477312 1477339 1477427 "LIECAT-" 1477432 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-644 1469905 1476852 1477008 "LIB" 1477176 T LIB (NIL) -8 NIL NIL NIL) (-643 1465540 1466423 1467358 "LGROBP" 1469022 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-642 1463538 1463812 1464162 "LF" 1465261 NIL LF (NIL T T) -7 NIL NIL NIL) (-641 1462378 1463070 1463098 "LFCAT" 1463305 T LFCAT (NIL) -9 NIL 1463444 NIL) (-640 1459280 1459910 1460598 "LEXTRIPK" 1461742 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-639 1456024 1456850 1457353 "LEXP" 1458860 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-638 1455500 1455745 1455837 "LETAST" 1455952 T LETAST (NIL) -8 NIL NIL NIL) (-637 1453898 1454211 1454612 "LEADCDET" 1455182 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-636 1453088 1453162 1453391 "LAZM3PK" 1453819 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-635 1448005 1451165 1451703 "LAUPOL" 1452600 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-634 1447584 1447628 1447789 "LAPLACE" 1447955 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-633 1445523 1446685 1446936 "LA" 1447417 NIL LA (NIL T T T) -8 NIL NIL NIL) (-632 1444503 1445087 1445128 "LALG" 1445190 NIL LALG (NIL T) -9 NIL 1445249 NIL) (-631 1444217 1444276 1444412 "LALG-" 1444417 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-630 1444052 1444076 1444117 "KVTFROM" 1444179 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-629 1442975 1443419 1443604 "KTVLOGIC" 1443887 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-628 1442810 1442834 1442875 "KRCFROM" 1442937 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-627 1441714 1441901 1442200 "KOVACIC" 1442610 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-626 1441549 1441573 1441614 "KONVERT" 1441676 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-625 1441384 1441408 1441449 "KOERCE" 1441511 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-624 1439215 1439977 1440354 "KERNEL" 1441040 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-623 1438711 1438792 1438924 "KERNEL2" 1439129 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-622 1432422 1437188 1437242 "KDAGG" 1437619 NIL KDAGG (NIL T T) -9 NIL 1437825 NIL) (-621 1431951 1432075 1432280 "KDAGG-" 1432285 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-620 1425099 1431612 1431767 "KAFILE" 1431829 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-619 1419527 1424610 1424838 "JORDAN" 1424920 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-618 1418906 1419176 1419297 "JOINAST" 1419426 T JOINAST (NIL) -8 NIL NIL NIL) (-617 1418752 1418811 1418866 "JAVACODE" 1418871 T JAVACODE (NIL) -8 NIL NIL NIL) (-616 1414979 1416929 1416983 "IXAGG" 1417912 NIL IXAGG (NIL T T) -9 NIL 1418371 NIL) (-615 1413898 1414204 1414623 "IXAGG-" 1414628 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-614 1409431 1413820 1413879 "IVECTOR" 1413884 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-613 1408197 1408434 1408700 "ITUPLE" 1409198 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-612 1406699 1406876 1407171 "ITRIGMNP" 1408019 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-611 1405444 1405648 1405931 "ITFUN3" 1406475 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-610 1405076 1405133 1405242 "ITFUN2" 1405381 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-609 1404235 1404556 1404730 "ITFORM" 1404922 T ITFORM (NIL) -8 NIL NIL NIL) (-608 1402196 1403255 1403533 "ITAYLOR" 1403990 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-607 1391141 1396333 1397496 "ISUPS" 1401066 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-606 1390245 1390385 1390621 "ISUMP" 1390988 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-605 1385623 1390190 1390231 "ISTRING" 1390236 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-604 1385099 1385344 1385436 "ISAST" 1385551 T ISAST (NIL) -8 NIL NIL NIL) (-603 1384308 1384390 1384606 "IRURPK" 1385013 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-602 1383244 1383445 1383685 "IRSN" 1384088 T IRSN (NIL) -7 NIL NIL NIL) (-601 1381315 1381670 1382099 "IRRF2F" 1382882 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-600 1381062 1381100 1381176 "IRREDFFX" 1381271 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-599 1379677 1379936 1380235 "IROOT" 1380795 NIL IROOT (NIL T) -7 NIL NIL NIL) (-598 1376281 1377361 1378053 "IR" 1379017 NIL IR (NIL T) -8 NIL NIL NIL) (-597 1375486 1375774 1375925 "IRFORM" 1376150 T IRFORM (NIL) -8 NIL NIL NIL) (-596 1373099 1373594 1374160 "IR2" 1374964 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-595 1372199 1372312 1372526 "IR2F" 1372982 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-594 1371990 1372024 1372084 "IPRNTPK" 1372159 T IPRNTPK (NIL) -7 NIL NIL NIL) (-593 1368571 1371879 1371948 "IPF" 1371953 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-592 1366898 1368496 1368553 "IPADIC" 1368558 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-591 1366210 1366458 1366588 "IP4ADDR" 1366788 T IP4ADDR (NIL) -8 NIL NIL NIL) (-590 1365584 1365839 1365971 "IOMODE" 1366098 T IOMODE (NIL) -8 NIL NIL NIL) (-589 1364657 1365181 1365308 "IOBFILE" 1365477 T IOBFILE (NIL) -8 NIL NIL NIL) (-588 1364145 1364561 1364589 "IOBCON" 1364594 T IOBCON (NIL) -9 NIL 1364615 NIL) (-587 1363656 1363714 1363897 "INVLAPLA" 1364081 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-586 1353304 1355658 1358044 "INTTR" 1361320 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-585 1349639 1350381 1351246 "INTTOOLS" 1352489 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-584 1349225 1349316 1349433 "INTSLPE" 1349542 T INTSLPE (NIL) -7 NIL NIL NIL) (-583 1347178 1349148 1349207 "INTRVL" 1349212 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-582 1344780 1345292 1345867 "INTRF" 1346663 NIL INTRF (NIL T) -7 NIL NIL NIL) (-581 1344191 1344288 1344430 "INTRET" 1344678 NIL INTRET (NIL T) -7 NIL NIL NIL) (-580 1342188 1342577 1343047 "INTRAT" 1343799 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-579 1339451 1340034 1340653 "INTPM" 1341673 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-578 1336196 1336795 1337533 "INTPAF" 1338837 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-577 1331375 1332337 1333388 "INTPACK" 1335165 T INTPACK (NIL) -7 NIL NIL NIL) (-576 1328187 1331172 1331281 "INT" 1331286 T INT (NIL) -8 NIL NIL NIL) (-575 1327439 1327591 1327799 "INTHERTR" 1328029 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-574 1326878 1326958 1327146 "INTHERAL" 1327353 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-573 1324724 1325167 1325624 "INTHEORY" 1326441 T INTHEORY (NIL) -7 NIL NIL NIL) (-572 1316130 1317751 1319523 "INTG0" 1323076 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-571 1296703 1301493 1306303 "INTFTBL" 1311340 T INTFTBL (NIL) -8 NIL NIL NIL) (-570 1295952 1296090 1296263 "INTFACT" 1296562 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-569 1293379 1293825 1294382 "INTEF" 1295506 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-568 1291732 1292471 1292499 "INTDOM" 1292800 T INTDOM (NIL) -9 NIL 1293007 NIL) (-567 1291101 1291275 1291517 "INTDOM-" 1291522 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-566 1287461 1289390 1289444 "INTCAT" 1290243 NIL INTCAT (NIL T) -9 NIL 1290564 NIL) (-565 1286933 1287036 1287164 "INTBIT" 1287353 T INTBIT (NIL) -7 NIL NIL NIL) (-564 1285632 1285786 1286093 "INTALG" 1286778 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-563 1285115 1285205 1285362 "INTAF" 1285536 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-562 1278464 1284925 1285065 "INTABL" 1285070 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-561 1277797 1278263 1278328 "INT8" 1278362 T INT8 (NIL) -8 NIL NIL 1278407) (-560 1277129 1277595 1277660 "INT64" 1277694 T INT64 (NIL) -8 NIL NIL 1277739) (-559 1276461 1276927 1276992 "INT32" 1277026 T INT32 (NIL) -8 NIL NIL 1277071) (-558 1275793 1276259 1276324 "INT16" 1276358 T INT16 (NIL) -8 NIL NIL 1276403) (-557 1270488 1273341 1273369 "INS" 1274303 T INS (NIL) -9 NIL 1274968 NIL) (-556 1267728 1268499 1269473 "INS-" 1269546 NIL INS- (NIL T) -8 NIL NIL NIL) (-555 1266503 1266730 1267028 "INPSIGN" 1267481 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-554 1265621 1265738 1265935 "INPRODPF" 1266383 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-553 1264515 1264632 1264869 "INPRODFF" 1265501 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-552 1263515 1263667 1263927 "INNMFACT" 1264351 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-551 1262712 1262809 1262997 "INMODGCD" 1263414 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-550 1261220 1261465 1261789 "INFSP" 1262457 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-549 1260404 1260521 1260704 "INFPROD0" 1261100 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-548 1257259 1258469 1258984 "INFORM" 1259897 T INFORM (NIL) -8 NIL NIL NIL) (-547 1256869 1256929 1257027 "INFORM1" 1257194 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-546 1256392 1256481 1256595 "INFINITY" 1256775 T INFINITY (NIL) -7 NIL NIL NIL) (-545 1255568 1256112 1256213 "INETCLTS" 1256311 T INETCLTS (NIL) -8 NIL NIL NIL) (-544 1254184 1254434 1254755 "INEP" 1255316 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-543 1253389 1254081 1254146 "INDE" 1254151 NIL INDE (NIL T) -8 NIL NIL NIL) (-542 1252953 1253021 1253138 "INCRMAPS" 1253316 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-541 1251771 1252222 1252428 "INBFILE" 1252767 T INBFILE (NIL) -8 NIL NIL NIL) (-540 1247070 1248007 1248951 "INBFF" 1250859 NIL INBFF (NIL T) -7 NIL NIL NIL) (-539 1245978 1246247 1246275 "INBCON" 1246788 T INBCON (NIL) -9 NIL 1247054 NIL) (-538 1245230 1245453 1245729 "INBCON-" 1245734 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-537 1244709 1244954 1245045 "INAST" 1245159 T INAST (NIL) -8 NIL NIL NIL) (-536 1244136 1244388 1244494 "IMPTAST" 1244623 T IMPTAST (NIL) -8 NIL NIL NIL) (-535 1240537 1243980 1244084 "IMATRIX" 1244089 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-534 1239245 1239368 1239684 "IMATQF" 1240393 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-533 1237465 1237692 1238029 "IMATLIN" 1239001 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-532 1232046 1237389 1237447 "ILIST" 1237452 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-531 1229954 1231906 1232019 "IIARRAY2" 1232024 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-530 1225352 1229865 1229929 "IFF" 1229934 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-529 1224699 1224969 1225085 "IFAST" 1225256 T IFAST (NIL) -8 NIL NIL NIL) (-528 1219697 1223991 1224179 "IFARRAY" 1224556 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-527 1218877 1219601 1219674 "IFAMON" 1219679 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-526 1218461 1218526 1218580 "IEVALAB" 1218787 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-525 1218136 1218204 1218364 "IEVALAB-" 1218369 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-524 1217472 1217837 1217955 "IDPO" 1218063 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-523 1216680 1217361 1217436 "IDPOAMS" 1217441 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-522 1215945 1216569 1216644 "IDPOAM" 1216649 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-521 1214802 1215119 1215172 "IDPC" 1215690 NIL IDPC (NIL T T) -9 NIL 1215881 NIL) (-520 1213990 1214495 1214617 "IDPAM" 1214723 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-519 1213324 1213882 1213955 "IDPAG" 1213960 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-518 1212969 1213160 1213235 "IDENT" 1213269 T IDENT (NIL) -8 NIL NIL NIL) (-517 1209224 1210072 1210967 "IDECOMP" 1212126 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-516 1202061 1203147 1204194 "IDEAL" 1208260 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-515 1201221 1201333 1201533 "ICDEN" 1201945 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-514 1200292 1200701 1200848 "ICARD" 1201094 T ICARD (NIL) -8 NIL NIL NIL) (-513 1198352 1198665 1199070 "IBPTOOLS" 1199969 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-512 1193959 1197972 1198085 "IBITS" 1198271 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-511 1190682 1191258 1191953 "IBATOOL" 1193376 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-510 1188461 1188923 1189456 "IBACHIN" 1190217 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-509 1186293 1188307 1188410 "IARRAY2" 1188415 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-508 1182402 1186219 1186276 "IARRAY1" 1186281 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-507 1176262 1180814 1181295 "IAN" 1181941 T IAN (NIL) -8 NIL NIL NIL) (-506 1175773 1175830 1176003 "IALGFACT" 1176199 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-505 1175301 1175414 1175442 "HYPCAT" 1175649 T HYPCAT (NIL) -9 NIL NIL NIL) (-504 1174839 1174956 1175142 "HYPCAT-" 1175147 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-503 1174434 1174634 1174717 "HOSTNAME" 1174776 T HOSTNAME (NIL) -8 NIL NIL NIL) (-502 1174279 1174316 1174357 "HOMOTOP" 1174362 NIL HOMOTOP (NIL T) -9 NIL 1174395 NIL) (-501 1170836 1172211 1172252 "HOAGG" 1173233 NIL HOAGG (NIL T) -9 NIL 1173962 NIL) (-500 1169430 1169829 1170355 "HOAGG-" 1170360 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-499 1163146 1169023 1169173 "HEXADEC" 1169300 T HEXADEC (NIL) -8 NIL NIL NIL) (-498 1161894 1162116 1162379 "HEUGCD" 1162923 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-497 1160970 1161731 1161861 "HELLFDIV" 1161866 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-496 1159152 1160747 1160835 "HEAP" 1160914 NIL HEAP (NIL T) -8 NIL NIL NIL) (-495 1158415 1158704 1158838 "HEADAST" 1159038 T HEADAST (NIL) -8 NIL NIL NIL) (-494 1152258 1158330 1158392 "HDP" 1158397 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-493 1145970 1151893 1152045 "HDMP" 1152159 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-492 1145294 1145434 1145598 "HB" 1145826 T HB (NIL) -7 NIL NIL NIL) (-491 1138686 1145140 1145244 "HASHTBL" 1145249 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-490 1138162 1138407 1138499 "HASAST" 1138614 T HASAST (NIL) -8 NIL NIL NIL) (-489 1135940 1137784 1137966 "HACKPI" 1138000 T HACKPI (NIL) -8 NIL NIL NIL) (-488 1131608 1135793 1135906 "GTSET" 1135911 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-487 1125029 1131486 1131584 "GSTBL" 1131589 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-486 1117416 1124194 1124450 "GSERIES" 1124829 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-485 1116543 1116960 1116988 "GROUP" 1117191 T GROUP (NIL) -9 NIL 1117325 NIL) (-484 1115909 1116068 1116319 "GROUP-" 1116324 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-483 1114276 1114597 1114984 "GROEBSOL" 1115586 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-482 1113176 1113464 1113515 "GRMOD" 1114044 NIL GRMOD (NIL T T) -9 NIL 1114212 NIL) (-481 1112944 1112980 1113108 "GRMOD-" 1113113 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-480 1108234 1109298 1110298 "GRIMAGE" 1111964 T GRIMAGE (NIL) -8 NIL NIL NIL) (-479 1106700 1106961 1107285 "GRDEF" 1107930 T GRDEF (NIL) -7 NIL NIL NIL) (-478 1106144 1106260 1106401 "GRAY" 1106579 T GRAY (NIL) -7 NIL NIL NIL) (-477 1105317 1105723 1105774 "GRALG" 1105927 NIL GRALG (NIL T T) -9 NIL 1106020 NIL) (-476 1104978 1105051 1105214 "GRALG-" 1105219 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-475 1101755 1104563 1104741 "GPOLSET" 1104885 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-474 1101109 1101166 1101424 "GOSPER" 1101692 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-473 1096841 1097547 1098073 "GMODPOL" 1100808 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-472 1095846 1096030 1096268 "GHENSEL" 1096653 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-471 1090002 1090845 1091865 "GENUPS" 1094930 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-470 1089699 1089750 1089839 "GENUFACT" 1089945 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-469 1089111 1089188 1089353 "GENPGCD" 1089617 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-468 1088585 1088620 1088833 "GENMFACT" 1089070 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-467 1087151 1087408 1087715 "GENEEZ" 1088328 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-466 1081023 1086762 1086924 "GDMP" 1087074 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-465 1070366 1074794 1075900 "GCNAALG" 1080006 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-464 1068679 1069541 1069569 "GCDDOM" 1069824 T GCDDOM (NIL) -9 NIL 1069981 NIL) (-463 1068149 1068276 1068491 "GCDDOM-" 1068496 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-462 1066821 1067006 1067310 "GB" 1067928 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-461 1055437 1057767 1060159 "GBINTERN" 1064512 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-460 1053274 1053566 1053987 "GBF" 1055112 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-459 1052055 1052220 1052487 "GBEUCLID" 1053090 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-458 1051404 1051529 1051678 "GAUSSFAC" 1051926 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-457 1049771 1050073 1050387 "GALUTIL" 1051123 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-456 1048079 1048353 1048677 "GALPOLYU" 1049498 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-455 1045444 1045734 1046141 "GALFACTU" 1047776 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-454 1037250 1038749 1040357 "GALFACT" 1043876 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-453 1034638 1035296 1035324 "FVFUN" 1036480 T FVFUN (NIL) -9 NIL 1037200 NIL) (-452 1033904 1034086 1034114 "FVC" 1034405 T FVC (NIL) -9 NIL 1034588 NIL) (-451 1033547 1033729 1033797 "FUNDESC" 1033856 T FUNDESC (NIL) -8 NIL NIL NIL) (-450 1033162 1033344 1033425 "FUNCTION" 1033499 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-449 1030906 1031484 1031950 "FT" 1032716 T FT (NIL) -8 NIL NIL NIL) (-448 1029697 1030207 1030410 "FTEM" 1030723 T FTEM (NIL) -8 NIL NIL NIL) (-447 1027988 1028277 1028674 "FSUPFACT" 1029388 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-446 1026385 1026674 1027006 "FST" 1027676 T FST (NIL) -8 NIL NIL NIL) (-445 1025584 1025690 1025878 "FSRED" 1026267 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-444 1024283 1024539 1024886 "FSPRMELT" 1025299 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-443 1021589 1022027 1022513 "FSPECF" 1023846 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-442 1002654 1011363 1011404 "FS" 1015288 NIL FS (NIL T) -9 NIL 1017577 NIL) (-441 991297 994290 998347 "FS-" 998647 NIL FS- (NIL T T) -8 NIL NIL NIL) (-440 990825 990879 991049 "FSINT" 991238 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-439 989117 989818 990121 "FSERIES" 990604 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-438 988159 988275 988499 "FSCINT" 988997 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-437 984367 987103 987144 "FSAGG" 987514 NIL FSAGG (NIL T) -9 NIL 987773 NIL) (-436 982129 982730 983526 "FSAGG-" 983621 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-435 981171 981314 981541 "FSAGG2" 981982 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-434 978849 979129 979677 "FS2UPS" 980889 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-433 978483 978526 978655 "FS2" 978800 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-432 977361 977532 977834 "FS2EXPXP" 978308 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-431 976787 976902 977054 "FRUTIL" 977241 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-430 968200 972282 973640 "FR" 975461 NIL FR (NIL T) -8 NIL NIL NIL) (-429 963214 965889 965929 "FRNAALG" 967249 NIL FRNAALG (NIL T) -9 NIL 967847 NIL) (-428 958887 959963 961238 "FRNAALG-" 961988 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-427 958525 958568 958695 "FRNAAF2" 958838 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-426 956900 957374 957670 "FRMOD" 958337 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-425 954643 955275 955593 "FRIDEAL" 956691 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-424 953834 953921 954212 "FRIDEAL2" 954550 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-423 952967 953381 953422 "FRETRCT" 953427 NIL FRETRCT (NIL T) -9 NIL 953603 NIL) (-422 952079 952310 952661 "FRETRCT-" 952666 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-421 949153 950363 950422 "FRAMALG" 951304 NIL FRAMALG (NIL T T) -9 NIL 951596 NIL) (-420 947287 947742 948372 "FRAMALG-" 948595 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-419 940930 946760 947037 "FRAC" 947042 NIL FRAC (NIL T) -8 NIL NIL NIL) (-418 940566 940623 940730 "FRAC2" 940867 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-417 940202 940259 940366 "FR2" 940503 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-416 934687 937581 937609 "FPS" 938728 T FPS (NIL) -9 NIL 939285 NIL) (-415 934136 934245 934409 "FPS-" 934555 NIL FPS- (NIL T) -8 NIL NIL NIL) (-414 931424 933093 933121 "FPC" 933346 T FPC (NIL) -9 NIL 933488 NIL) (-413 931217 931257 931354 "FPC-" 931359 NIL FPC- (NIL T) -8 NIL NIL NIL) (-412 930007 930705 930746 "FPATMAB" 930751 NIL FPATMAB (NIL T) -9 NIL 930903 NIL) (-411 928246 928749 929096 "FPARFRAC" 929723 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-410 923640 924138 924820 "FORTRAN" 927678 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-409 921356 921856 922395 "FORT" 923121 T FORT (NIL) -7 NIL NIL NIL) (-408 919032 919594 919622 "FORTFN" 920682 T FORTFN (NIL) -9 NIL 921306 NIL) (-407 918796 918846 918874 "FORTCAT" 918933 T FORTCAT (NIL) -9 NIL 918995 NIL) (-406 916902 917412 917802 "FORMULA" 918426 T FORMULA (NIL) -8 NIL NIL NIL) (-405 916690 916720 916789 "FORMULA1" 916866 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-404 916213 916265 916438 "FORDER" 916632 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-403 915309 915473 915666 "FOP" 916040 T FOP (NIL) -7 NIL NIL NIL) (-402 913890 914589 914763 "FNLA" 915191 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-401 912605 913020 913048 "FNCAT" 913508 T FNCAT (NIL) -9 NIL 913768 NIL) (-400 912144 912564 912592 "FNAME" 912597 T FNAME (NIL) -8 NIL NIL NIL) (-399 910680 911643 911671 "FMTC" 911676 T FMTC (NIL) -9 NIL 911712 NIL) (-398 909426 910616 910662 "FMONOID" 910667 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-397 906213 907381 907422 "FMONCAT" 908639 NIL FMONCAT (NIL T) -9 NIL 909244 NIL) (-396 905363 905955 906104 "FM" 906109 NIL FM (NIL T T) -8 NIL NIL NIL) (-395 902787 903433 903461 "FMFUN" 904605 T FMFUN (NIL) -9 NIL 905313 NIL) (-394 902056 902237 902265 "FMC" 902555 T FMC (NIL) -9 NIL 902737 NIL) (-393 899121 899981 900035 "FMCAT" 901230 NIL FMCAT (NIL T T) -9 NIL 901725 NIL) (-392 897987 898887 898987 "FM1" 899066 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-391 895761 896177 896671 "FLOATRP" 897538 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-390 889339 893490 894111 "FLOAT" 895160 T FLOAT (NIL) -8 NIL NIL NIL) (-389 886777 887277 887855 "FLOATCP" 888806 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-388 885425 886369 886410 "FLINEXP" 886415 NIL FLINEXP (NIL T) -9 NIL 886508 NIL) (-387 884579 884814 885142 "FLINEXP-" 885147 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-386 883655 883799 884023 "FLASORT" 884431 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-385 880757 881625 881677 "FLALG" 882904 NIL FLALG (NIL T T) -9 NIL 883371 NIL) (-384 874417 878166 878207 "FLAGG" 879469 NIL FLAGG (NIL T) -9 NIL 880121 NIL) (-383 873143 873482 873972 "FLAGG-" 873977 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-382 872185 872328 872555 "FLAGG2" 872996 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-381 869022 870030 870089 "FINRALG" 871217 NIL FINRALG (NIL T T) -9 NIL 871725 NIL) (-380 868182 868411 868750 "FINRALG-" 868755 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-379 867548 867787 867815 "FINITE" 868011 T FINITE (NIL) -9 NIL 868118 NIL) (-378 859891 862078 862118 "FINAALG" 865785 NIL FINAALG (NIL T) -9 NIL 867238 NIL) (-377 855223 856273 857417 "FINAALG-" 858796 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-376 854591 854978 855081 "FILE" 855153 NIL FILE (NIL T) -8 NIL NIL NIL) (-375 853235 853573 853627 "FILECAT" 854311 NIL FILECAT (NIL T T) -9 NIL 854527 NIL) (-374 850937 852465 852493 "FIELD" 852533 T FIELD (NIL) -9 NIL 852613 NIL) (-373 849557 849942 850453 "FIELD-" 850458 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-372 847407 848192 848539 "FGROUP" 849243 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-371 846497 846661 846881 "FGLMICPK" 847239 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-370 842329 846422 846479 "FFX" 846484 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-369 841930 841991 842126 "FFSLPE" 842262 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-368 837920 838702 839498 "FFPOLY" 841166 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-367 837424 837460 837669 "FFPOLY2" 837878 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-366 833270 837343 837406 "FFP" 837411 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-365 828668 833181 833245 "FF" 833250 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-364 823794 828011 828201 "FFNBX" 828522 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-363 818722 822929 823187 "FFNBP" 823648 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-362 813355 818006 818217 "FFNB" 818555 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-361 812187 812385 812700 "FFINTBAS" 813152 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-360 808213 810434 810462 "FFIELDC" 811082 T FFIELDC (NIL) -9 NIL 811458 NIL) (-359 806875 807246 807743 "FFIELDC-" 807748 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-358 806444 806490 806614 "FFHOM" 806817 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-357 804139 804626 805143 "FFF" 805959 NIL FFF (NIL T) -7 NIL NIL NIL) (-356 799757 803881 803982 "FFCGX" 804082 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-355 795379 799489 799596 "FFCGP" 799700 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-354 790562 795106 795214 "FFCG" 795315 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-353 770091 780294 780380 "FFCAT" 785545 NIL FFCAT (NIL T T T) -9 NIL 786996 NIL) (-352 765288 766336 767650 "FFCAT-" 768880 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-351 764699 764742 764977 "FFCAT2" 765239 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-350 754022 757671 758891 "FEXPR" 763551 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-349 752984 753419 753460 "FEVALAB" 753544 NIL FEVALAB (NIL T) -9 NIL 753805 NIL) (-348 752143 752353 752691 "FEVALAB-" 752696 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-347 750709 751526 751729 "FDIV" 752042 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-346 747715 748456 748571 "FDIVCAT" 750139 NIL FDIVCAT (NIL T T T T) -9 NIL 750576 NIL) (-345 747477 747504 747674 "FDIVCAT-" 747679 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-344 746697 746784 747061 "FDIV2" 747384 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-343 745671 745992 746194 "FCTRDATA" 746515 T FCTRDATA (NIL) -8 NIL NIL NIL) (-342 744357 744616 744905 "FCPAK1" 745402 T FCPAK1 (NIL) -7 NIL NIL NIL) (-341 743456 743857 743998 "FCOMP" 744248 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-340 727161 730606 734144 "FC" 739938 T FC (NIL) -8 NIL NIL NIL) (-339 719454 723482 723522 "FAXF" 725324 NIL FAXF (NIL T) -9 NIL 726016 NIL) (-338 716731 717388 718213 "FAXF-" 718678 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-337 711786 716107 716283 "FARRAY" 716588 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-336 706666 708733 708786 "FAMR" 709809 NIL FAMR (NIL T T) -9 NIL 710269 NIL) (-335 705556 705858 706293 "FAMR-" 706298 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-334 704725 705478 705531 "FAMONOID" 705536 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-333 702497 703207 703260 "FAMONC" 704201 NIL FAMONC (NIL T T) -9 NIL 704587 NIL) (-332 701161 702251 702388 "FAGROUP" 702393 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-331 698956 699275 699678 "FACUTIL" 700842 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-330 698055 698240 698462 "FACTFUNC" 698766 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-329 690477 697358 697557 "EXPUPXS" 697911 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-328 687960 688500 689086 "EXPRTUBE" 689911 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-327 684231 684823 685553 "EXPRODE" 687299 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-326 669715 682880 683309 "EXPR" 683835 NIL EXPR (NIL T) -8 NIL NIL NIL) (-325 664269 664856 665662 "EXPR2UPS" 669013 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-324 663901 663958 664067 "EXPR2" 664206 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-323 654898 663052 663343 "EXPEXPAN" 663737 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-322 654698 654855 654884 "EXIT" 654889 T EXIT (NIL) -8 NIL NIL NIL) (-321 654178 654422 654513 "EXITAST" 654627 T EXITAST (NIL) -8 NIL NIL NIL) (-320 653805 653867 653980 "EVALCYC" 654110 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-319 653346 653464 653505 "EVALAB" 653675 NIL EVALAB (NIL T) -9 NIL 653779 NIL) (-318 652827 652949 653170 "EVALAB-" 653175 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-317 650181 651483 651511 "EUCDOM" 652066 T EUCDOM (NIL) -9 NIL 652416 NIL) (-316 648586 649028 649618 "EUCDOM-" 649623 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-315 636125 638884 641634 "ESTOOLS" 645856 T ESTOOLS (NIL) -7 NIL NIL NIL) (-314 635757 635814 635923 "ESTOOLS2" 636062 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-313 635508 635550 635630 "ESTOOLS1" 635709 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-312 629531 631139 631167 "ES" 633935 T ES (NIL) -9 NIL 635345 NIL) (-311 624478 625765 627582 "ES-" 627746 NIL ES- (NIL T) -8 NIL NIL NIL) (-310 620852 621613 622393 "ESCONT" 623718 T ESCONT (NIL) -7 NIL NIL NIL) (-309 620597 620629 620711 "ESCONT1" 620814 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-308 620272 620322 620422 "ES2" 620541 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-307 619902 619960 620069 "ES1" 620208 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-306 619118 619247 619423 "ERROR" 619746 T ERROR (NIL) -7 NIL NIL NIL) (-305 612516 618977 619068 "EQTBL" 619073 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-304 605019 607830 609279 "EQ" 611100 NIL -2037 (NIL T) -8 NIL NIL NIL) (-303 604651 604708 604817 "EQ2" 604956 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-302 599942 600989 602082 "EP" 603590 NIL EP (NIL T) -7 NIL NIL NIL) (-301 598542 598833 599139 "ENV" 599656 T ENV (NIL) -8 NIL NIL NIL) (-300 597622 598176 598204 "ENTIRER" 598209 T ENTIRER (NIL) -9 NIL 598255 NIL) (-299 594316 595804 596165 "EMR" 597430 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-298 593446 593631 593685 "ELTAGG" 594065 NIL ELTAGG (NIL T T) -9 NIL 594276 NIL) (-297 593165 593227 593368 "ELTAGG-" 593373 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-296 592929 592958 593012 "ELTAB" 593096 NIL ELTAB (NIL T T) -9 NIL 593148 NIL) (-295 592055 592201 592400 "ELFUTS" 592780 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-294 591797 591853 591881 "ELEMFUN" 591986 T ELEMFUN (NIL) -9 NIL NIL NIL) (-293 591667 591688 591756 "ELEMFUN-" 591761 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-292 586456 589709 589750 "ELAGG" 590690 NIL ELAGG (NIL T) -9 NIL 591153 NIL) (-291 584741 585175 585838 "ELAGG-" 585843 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-290 584053 584190 584346 "ELABOR" 584605 T ELABOR (NIL) -8 NIL NIL NIL) (-289 582714 582993 583287 "ELABEXPR" 583779 T ELABEXPR (NIL) -8 NIL NIL NIL) (-288 575548 577351 578180 "EFUPXS" 581989 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-287 568996 570797 571608 "EFULS" 574823 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-286 566481 566839 567311 "EFSTRUC" 568628 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-285 556272 557838 559386 "EF" 564996 NIL EF (NIL T T) -7 NIL NIL NIL) (-284 555346 555757 555906 "EAB" 556143 T EAB (NIL) -8 NIL NIL NIL) (-283 554528 555305 555333 "E04UCFA" 555338 T E04UCFA (NIL) -8 NIL NIL NIL) (-282 553710 554487 554515 "E04NAFA" 554520 T E04NAFA (NIL) -8 NIL NIL NIL) (-281 552892 553669 553697 "E04MBFA" 553702 T E04MBFA (NIL) -8 NIL NIL NIL) (-280 552074 552851 552879 "E04JAFA" 552884 T E04JAFA (NIL) -8 NIL NIL NIL) (-279 551258 552033 552061 "E04GCFA" 552066 T E04GCFA (NIL) -8 NIL NIL NIL) (-278 550442 551217 551245 "E04FDFA" 551250 T E04FDFA (NIL) -8 NIL NIL NIL) (-277 549624 550401 550429 "E04DGFA" 550434 T E04DGFA (NIL) -8 NIL NIL NIL) (-276 543797 545149 546513 "E04AGNT" 548280 T E04AGNT (NIL) -7 NIL NIL NIL) (-275 542555 543098 543138 "DVARCAT" 543479 NIL DVARCAT (NIL T) -9 NIL 543642 NIL) (-274 541759 541971 542285 "DVARCAT-" 542290 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-273 534620 541558 541687 "DSMP" 541692 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-272 533043 533762 533803 "DSEXT" 534166 NIL DSEXT (NIL T) -9 NIL 534460 NIL) (-271 531328 531756 532422 "DSEXT-" 532427 NIL DSEXT- (NIL T T) -8 NIL NIL NIL) (-270 526109 527273 528341 "DROPT" 530280 T DROPT (NIL) -8 NIL NIL NIL) (-269 525774 525833 525931 "DROPT1" 526044 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-268 520889 522015 523152 "DROPT0" 524657 T DROPT0 (NIL) -7 NIL NIL NIL) (-267 519234 519559 519945 "DRAWPT" 520523 T DRAWPT (NIL) -7 NIL NIL NIL) (-266 513821 514744 515823 "DRAW" 518208 NIL DRAW (NIL T) -7 NIL NIL NIL) (-265 513454 513507 513625 "DRAWHACK" 513762 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-264 512185 512454 512745 "DRAWCX" 513183 T DRAWCX (NIL) -7 NIL NIL NIL) (-263 511700 511769 511920 "DRAWCURV" 512111 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-262 502168 504130 506245 "DRAWCFUN" 509605 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-261 498907 500833 500874 "DQAGG" 501503 NIL DQAGG (NIL T) -9 NIL 501777 NIL) (-260 486372 493118 493201 "DPOLCAT" 495053 NIL DPOLCAT (NIL T T T T) -9 NIL 495598 NIL) (-259 481209 482557 484515 "DPOLCAT-" 484520 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-258 474556 481070 481168 "DPMO" 481173 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-257 467806 474336 474503 "DPMM" 474508 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-256 467376 467590 467679 "DOMTMPLT" 467737 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-255 466809 467178 467258 "DOMCTOR" 467316 T DOMCTOR (NIL) -8 NIL NIL NIL) (-254 466021 466289 466440 "DOMAIN" 466678 T DOMAIN (NIL) -8 NIL NIL NIL) (-253 459733 465656 465808 "DMP" 465922 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-252 457678 458800 458841 "DMEXT" 458846 NIL DMEXT (NIL T) -9 NIL 459022 NIL) (-251 457278 457334 457478 "DLP" 457616 NIL DLP (NIL T) -7 NIL NIL NIL) (-250 451103 456605 456795 "DLIST" 457120 NIL DLIST (NIL T) -8 NIL NIL NIL) (-249 447875 449928 449969 "DLAGG" 450519 NIL DLAGG (NIL T) -9 NIL 450749 NIL) (-248 446537 447201 447229 "DIVRING" 447321 T DIVRING (NIL) -9 NIL 447404 NIL) (-247 445774 445964 446264 "DIVRING-" 446269 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-246 443876 444233 444639 "DISPLAY" 445388 T DISPLAY (NIL) -7 NIL NIL NIL) (-245 437739 443790 443853 "DIRPROD" 443858 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-244 436587 436790 437055 "DIRPROD2" 437532 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-243 425262 431298 431351 "DIRPCAT" 431609 NIL DIRPCAT (NIL NIL T) -9 NIL 432484 NIL) (-242 422588 423230 424111 "DIRPCAT-" 424448 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-241 421875 422035 422221 "DIOSP" 422422 T DIOSP (NIL) -7 NIL NIL NIL) (-240 418505 420759 420800 "DIOPS" 421234 NIL DIOPS (NIL T) -9 NIL 421463 NIL) (-239 418054 418168 418359 "DIOPS-" 418364 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-238 417105 417733 417761 "DIFRING" 417766 T DIFRING (NIL) -9 NIL 417788 NIL) (-237 416777 416851 416879 "DIFFSPC" 416998 T DIFFSPC (NIL) -9 NIL 417073 NIL) (-236 416422 416500 416652 "DIFFSPC-" 416657 NIL DIFFSPC- (NIL T) -8 NIL NIL NIL) (-235 415478 415956 415997 "DIFFMOD" 416002 NIL DIFFMOD (NIL T) -9 NIL 416100 NIL) (-234 415186 415231 415272 "DIFFDOM" 415393 NIL DIFFDOM (NIL T) -9 NIL 415461 NIL) (-233 415039 415063 415147 "DIFFDOM-" 415152 NIL DIFFDOM- (NIL T T) -8 NIL NIL NIL) (-232 412971 414243 414284 "DIFEXT" 414289 NIL DIFEXT (NIL T) -9 NIL 414442 NIL) (-231 410221 412475 412516 "DIAGG" 412521 NIL DIAGG (NIL T) -9 NIL 412541 NIL) (-230 409605 409762 410014 "DIAGG-" 410019 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-229 404977 408564 408841 "DHMATRIX" 409374 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-228 400589 401498 402508 "DFSFUN" 403987 T DFSFUN (NIL) -7 NIL NIL NIL) (-227 395667 399520 399832 "DFLOAT" 400297 T DFLOAT (NIL) -8 NIL NIL NIL) (-226 393930 394211 394600 "DFINTTLS" 395375 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-225 390959 391951 392351 "DERHAM" 393596 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-224 388763 390734 390823 "DEQUEUE" 390903 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-223 388017 388150 388333 "DEGRED" 388625 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-222 384447 385192 386038 "DEFINTRF" 387245 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-221 382002 382471 383063 "DEFINTEF" 383966 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-220 381352 381622 381737 "DEFAST" 381907 T DEFAST (NIL) -8 NIL NIL NIL) (-219 375068 380945 381095 "DECIMAL" 381222 T DECIMAL (NIL) -8 NIL NIL NIL) (-218 372580 373038 373544 "DDFACT" 374612 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-217 372176 372219 372370 "DBLRESP" 372531 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-216 370044 370406 370767 "DBASE" 371942 NIL DBASE (NIL T) -8 NIL NIL NIL) (-215 369286 369524 369670 "DATAARY" 369943 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-214 368392 369245 369273 "D03FAFA" 369278 T D03FAFA (NIL) -8 NIL NIL NIL) (-213 367499 368351 368379 "D03EEFA" 368384 T D03EEFA (NIL) -8 NIL NIL NIL) (-212 365449 365915 366404 "D03AGNT" 367030 T D03AGNT (NIL) -7 NIL NIL NIL) (-211 364738 365408 365436 "D02EJFA" 365441 T D02EJFA (NIL) -8 NIL NIL NIL) (-210 364027 364697 364725 "D02CJFA" 364730 T D02CJFA (NIL) -8 NIL NIL NIL) (-209 363316 363986 364014 "D02BHFA" 364019 T D02BHFA (NIL) -8 NIL NIL NIL) (-208 362605 363275 363303 "D02BBFA" 363308 T D02BBFA (NIL) -8 NIL NIL NIL) (-207 355802 357391 358997 "D02AGNT" 361019 T D02AGNT (NIL) -7 NIL NIL NIL) (-206 353570 354093 354639 "D01WGTS" 355276 T D01WGTS (NIL) -7 NIL NIL NIL) (-205 352637 353529 353557 "D01TRNS" 353562 T D01TRNS (NIL) -8 NIL NIL NIL) (-204 351705 352596 352624 "D01GBFA" 352629 T D01GBFA (NIL) -8 NIL NIL NIL) (-203 350773 351664 351692 "D01FCFA" 351697 T D01FCFA (NIL) -8 NIL NIL NIL) (-202 349841 350732 350760 "D01ASFA" 350765 T D01ASFA (NIL) -8 NIL NIL NIL) (-201 348909 349800 349828 "D01AQFA" 349833 T D01AQFA (NIL) -8 NIL NIL NIL) (-200 347977 348868 348896 "D01APFA" 348901 T D01APFA (NIL) -8 NIL NIL NIL) (-199 347045 347936 347964 "D01ANFA" 347969 T D01ANFA (NIL) -8 NIL NIL NIL) (-198 346113 347004 347032 "D01AMFA" 347037 T D01AMFA (NIL) -8 NIL NIL NIL) (-197 345181 346072 346100 "D01ALFA" 346105 T D01ALFA (NIL) -8 NIL NIL NIL) (-196 344249 345140 345168 "D01AKFA" 345173 T D01AKFA (NIL) -8 NIL NIL NIL) (-195 343317 344208 344236 "D01AJFA" 344241 T D01AJFA (NIL) -8 NIL NIL NIL) (-194 336612 338165 339726 "D01AGNT" 341776 T D01AGNT (NIL) -7 NIL NIL NIL) (-193 335949 336077 336229 "CYCLOTOM" 336480 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-192 332682 333397 334124 "CYCLES" 335242 T CYCLES (NIL) -7 NIL NIL NIL) (-191 331994 332128 332299 "CVMP" 332543 NIL CVMP (NIL T) -7 NIL NIL NIL) (-190 329835 330093 330462 "CTRIGMNP" 331722 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-189 329271 329629 329702 "CTOR" 329782 T CTOR (NIL) -8 NIL NIL NIL) (-188 328780 329002 329103 "CTORKIND" 329190 T CTORKIND (NIL) -8 NIL NIL NIL) (-187 328057 328373 328401 "CTORCAT" 328583 T CTORCAT (NIL) -9 NIL 328696 NIL) (-186 327655 327766 327925 "CTORCAT-" 327930 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-185 327117 327329 327437 "CTORCALL" 327579 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-184 326491 326590 326743 "CSTTOOLS" 327014 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-183 322290 322947 323705 "CRFP" 325803 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-182 321765 322011 322103 "CRCEAST" 322218 T CRCEAST (NIL) -8 NIL NIL NIL) (-181 320812 320997 321225 "CRAPACK" 321569 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-180 320196 320297 320501 "CPMATCH" 320688 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-179 319921 319949 320055 "CPIMA" 320162 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-178 316269 316941 317660 "COORDSYS" 319256 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-177 315681 315802 315944 "CONTOUR" 316147 T CONTOUR (NIL) -8 NIL NIL NIL) (-176 311572 313684 314176 "CONTFRAC" 315221 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-175 311452 311473 311501 "CONDUIT" 311538 T CONDUIT (NIL) -9 NIL NIL NIL) (-174 310526 311080 311108 "COMRING" 311113 T COMRING (NIL) -9 NIL 311165 NIL) (-173 309580 309884 310068 "COMPPROP" 310362 T COMPPROP (NIL) -8 NIL NIL NIL) (-172 309241 309276 309404 "COMPLPAT" 309539 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-171 298544 309050 309159 "COMPLEX" 309164 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 298180 298237 298344 "COMPLEX2" 298481 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-169 297519 297640 297800 "COMPILER" 298040 T COMPILER (NIL) -8 NIL NIL NIL) (-168 297237 297272 297370 "COMPFACT" 297478 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-167 279516 290941 290981 "COMPCAT" 291985 NIL COMPCAT (NIL T) -9 NIL 293333 NIL) (-166 269028 271955 275582 "COMPCAT-" 275938 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-165 268757 268785 268888 "COMMUPC" 268994 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-164 268551 268585 268644 "COMMONOP" 268718 T COMMONOP (NIL) -7 NIL NIL NIL) (-163 268107 268302 268389 "COMM" 268484 T COMM (NIL) -8 NIL NIL NIL) (-162 267683 267911 267986 "COMMAAST" 268052 T COMMAAST (NIL) -8 NIL NIL NIL) (-161 266932 267126 267154 "COMBOPC" 267492 T COMBOPC (NIL) -9 NIL 267667 NIL) (-160 265828 266038 266280 "COMBINAT" 266722 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-159 262285 262859 263486 "COMBF" 265250 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-158 261043 261401 261636 "COLOR" 262070 T COLOR (NIL) -8 NIL NIL NIL) (-157 260519 260764 260856 "COLONAST" 260971 T COLONAST (NIL) -8 NIL NIL NIL) (-156 260159 260206 260331 "CMPLXRT" 260466 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-155 259607 259859 259958 "CLLCTAST" 260080 T CLLCTAST (NIL) -8 NIL NIL NIL) (-154 255109 256137 257217 "CLIP" 258547 T CLIP (NIL) -7 NIL NIL NIL) (-153 253450 254210 254450 "CLIF" 254936 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-152 249600 251568 251609 "CLAGG" 252538 NIL CLAGG (NIL T) -9 NIL 253074 NIL) (-151 248022 248479 249062 "CLAGG-" 249067 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-150 247566 247651 247791 "CINTSLPE" 247931 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-149 245067 245538 246086 "CHVAR" 247094 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-148 244227 244781 244809 "CHARZ" 244814 T CHARZ (NIL) -9 NIL 244829 NIL) (-147 243981 244021 244099 "CHARPOL" 244181 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-146 243025 243612 243640 "CHARNZ" 243687 T CHARNZ (NIL) -9 NIL 243743 NIL) (-145 240931 241679 242032 "CHAR" 242692 T CHAR (NIL) -8 NIL NIL NIL) (-144 240657 240718 240746 "CFCAT" 240857 T CFCAT (NIL) -9 NIL NIL NIL) (-143 239898 240009 240192 "CDEN" 240541 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-142 235863 239051 239331 "CCLASS" 239638 T CCLASS (NIL) -8 NIL NIL NIL) (-141 235114 235271 235448 "CATEGORY" 235706 T -10 (NIL) -8 NIL NIL NIL) (-140 234687 235033 235081 "CATCTOR" 235086 T CATCTOR (NIL) -8 NIL NIL NIL) (-139 234138 234390 234488 "CATAST" 234609 T CATAST (NIL) -8 NIL NIL NIL) (-138 233614 233859 233951 "CASEAST" 234066 T CASEAST (NIL) -8 NIL NIL NIL) (-137 228752 229771 230515 "CARTEN" 232926 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 227860 228008 228229 "CARTEN2" 228599 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-135 226176 227010 227267 "CARD" 227623 T CARD (NIL) -8 NIL NIL NIL) (-134 225752 225980 226055 "CAPSLAST" 226121 T CAPSLAST (NIL) -8 NIL NIL NIL) (-133 225242 225450 225478 "CACHSET" 225610 T CACHSET (NIL) -9 NIL 225688 NIL) (-132 224698 225020 225048 "CABMON" 225098 T CABMON (NIL) -9 NIL 225154 NIL) (-131 224171 224402 224512 "BYTEORD" 224608 T BYTEORD (NIL) -8 NIL NIL NIL) (-130 223148 223700 223842 "BYTE" 224005 T BYTE (NIL) -8 NIL NIL 224127) (-129 218501 222653 222825 "BYTEBUF" 222996 T BYTEBUF (NIL) -8 NIL NIL NIL) (-128 216013 218193 218300 "BTREE" 218427 NIL BTREE (NIL T) -8 NIL NIL NIL) (-127 213465 215661 215783 "BTOURN" 215923 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-126 210810 212907 212948 "BTCAT" 213016 NIL BTCAT (NIL T) -9 NIL 213093 NIL) (-125 210477 210557 210706 "BTCAT-" 210711 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-124 205842 209723 209751 "BTAGG" 209865 T BTAGG (NIL) -9 NIL 209975 NIL) (-123 205332 205457 205663 "BTAGG-" 205668 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-122 202330 204610 204825 "BSTREE" 205149 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-121 201468 201594 201778 "BRILL" 202186 NIL BRILL (NIL T) -7 NIL NIL NIL) (-120 198095 200166 200207 "BRAGG" 200856 NIL BRAGG (NIL T) -9 NIL 201114 NIL) (-119 196624 197030 197585 "BRAGG-" 197590 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-118 189540 195968 196153 "BPADICRT" 196471 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-117 187855 189477 189522 "BPADIC" 189527 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-116 187553 187583 187697 "BOUNDZRO" 187819 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-115 182781 183979 184891 "BOP" 186661 T BOP (NIL) -8 NIL NIL NIL) (-114 180562 180966 181441 "BOP1" 182339 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-113 180263 180324 180352 "BOOLE" 180463 T BOOLE (NIL) -9 NIL 180545 NIL) (-112 179088 179837 179986 "BOOLEAN" 180134 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 178353 178757 178811 "BMODULE" 178816 NIL BMODULE (NIL T T) -9 NIL 178881 NIL) (-110 174154 178151 178224 "BITS" 178300 T BITS (NIL) -8 NIL NIL NIL) (-109 173575 173694 173834 "BINDING" 174034 T BINDING (NIL) -8 NIL NIL NIL) (-108 167294 173170 173319 "BINARY" 173446 T BINARY (NIL) -8 NIL NIL NIL) (-107 165049 166521 166562 "BGAGG" 166822 NIL BGAGG (NIL T) -9 NIL 166959 NIL) (-106 164880 164912 165003 "BGAGG-" 165008 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 163951 164264 164469 "BFUNCT" 164695 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 162641 162819 163107 "BEZOUT" 163775 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 159113 161493 161823 "BBTREE" 162344 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 158714 158792 158820 "BASTYPE" 158997 T BASTYPE (NIL) -9 NIL 159096 NIL) (-101 158390 158471 158606 "BASTYPE-" 158611 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 157824 157900 158052 "BALFACT" 158301 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 156680 157239 157425 "AUTOMOR" 157669 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 156406 156411 156437 "ATTREG" 156442 T ATTREG (NIL) -9 NIL NIL NIL) (-97 154658 155103 155455 "ATTRBUT" 156072 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 154266 154486 154552 "ATTRAST" 154610 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 153802 153915 153941 "ATRIG" 154142 T ATRIG (NIL) -9 NIL NIL NIL) (-94 153611 153652 153739 "ATRIG-" 153744 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 153242 153428 153454 "ASTCAT" 153459 T ASTCAT (NIL) -9 NIL 153489 NIL) (-92 152969 153028 153147 "ASTCAT-" 153152 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 151121 152745 152833 "ASTACK" 152912 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 149626 149923 150288 "ASSOCEQ" 150803 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 148658 149285 149409 "ASP9" 149533 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 148421 148606 148645 "ASP8" 148650 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 147289 148026 148168 "ASP80" 148310 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 146187 146924 147056 "ASP7" 147188 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 145141 145864 145982 "ASP78" 146100 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 144110 144821 144938 "ASP77" 145055 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 143022 143748 143879 "ASP74" 144010 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 141922 142657 142789 "ASP73" 142921 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 141026 141748 141848 "ASP6" 141853 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 139973 140703 140821 "ASP55" 140939 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 138922 139647 139766 "ASP50" 139885 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 138010 138623 138733 "ASP4" 138843 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 137098 137711 137821 "ASP49" 137931 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 135882 136637 136805 "ASP42" 136987 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 134659 135415 135585 "ASP41" 135769 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 133609 134336 134454 "ASP35" 134572 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 133374 133557 133596 "ASP34" 133601 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 133111 133178 133254 "ASP33" 133329 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 132005 132746 132878 "ASP31" 133010 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 131770 131953 131992 "ASP30" 131997 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 131505 131574 131650 "ASP29" 131725 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 131270 131453 131492 "ASP28" 131497 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 131035 131218 131257 "ASP27" 131262 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 130119 130733 130844 "ASP24" 130955 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 129196 129921 130033 "ASP20" 130038 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 128284 128897 129007 "ASP1" 129117 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 127227 127958 128077 "ASP19" 128196 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 126964 127031 127107 "ASP12" 127182 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 125816 126563 126707 "ASP10" 126851 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 123670 125660 125751 "ARRAY2" 125756 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 119438 123318 123432 "ARRAY1" 123587 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 118470 118643 118864 "ARRAY12" 119261 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 112757 114672 114747 "ARR2CAT" 117377 NIL ARR2CAT (NIL T T T) -9 NIL 118135 NIL) (-56 110191 110935 111889 "ARR2CAT-" 111894 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 109508 109818 109943 "ARITY" 110084 T ARITY (NIL) -8 NIL NIL NIL) (-54 108284 108436 108735 "APPRULE" 109344 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 107935 107983 108102 "APPLYORE" 108230 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 107289 107528 107648 "ANY" 107833 T ANY (NIL) -8 NIL NIL NIL) (-51 106567 106690 106847 "ANY1" 107163 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 104097 105004 105331 "ANTISYM" 106291 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 103589 103804 103900 "ANON" 104019 T ANON (NIL) -8 NIL NIL NIL) (-48 97589 102128 102582 "AN" 103153 T AN (NIL) -8 NIL NIL NIL) (-47 93473 94861 94912 "AMR" 95660 NIL AMR (NIL T T) -9 NIL 96260 NIL) (-46 92585 92806 93169 "AMR-" 93174 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 77030 92502 92563 "ALIST" 92568 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 73835 76624 76793 "ALGSC" 76948 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 70391 70945 71552 "ALGPKG" 73275 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 69668 69769 69953 "ALGMFACT" 70277 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 65703 66282 66876 "ALGMANIP" 69252 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 55914 65329 65479 "ALGFF" 65636 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 55110 55241 55420 "ALGFACT" 55772 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 54037 54637 54675 "ALGEBRA" 54680 NIL ALGEBRA (NIL T) -9 NIL 54721 NIL) (-37 53755 53814 53946 "ALGEBRA-" 53951 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 35692 51592 51644 "ALAGG" 51780 NIL ALAGG (NIL T T) -9 NIL 51941 NIL) (-35 35228 35341 35367 "AHYP" 35568 T AHYP (NIL) -9 NIL NIL NIL) (-34 34159 34407 34433 "AGG" 34932 T AGG (NIL) -9 NIL 35211 NIL) (-33 33593 33755 33969 "AGG-" 33974 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 31399 31822 32227 "AF" 33235 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 30879 31124 31214 "ADDAST" 31327 T ADDAST (NIL) -8 NIL NIL NIL) (-30 30147 30406 30562 "ACPLOT" 30741 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 18770 27079 27117 "ACFS" 27724 NIL ACFS (NIL T) -9 NIL 27963 NIL) (-28 16797 17287 18049 "ACFS-" 18054 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 12901 14830 14856 "ACF" 15735 T ACF (NIL) -9 NIL 16148 NIL) (-26 11605 11939 12432 "ACF-" 12437 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 11163 11358 11384 "ABELSG" 11476 T ABELSG (NIL) -9 NIL 11541 NIL) (-24 11030 11055 11121 "ABELSG-" 11126 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 10359 10646 10672 "ABELMON" 10842 T ABELMON (NIL) -9 NIL 10954 NIL) (-22 10023 10107 10245 "ABELMON-" 10250 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 9357 9729 9755 "ABELGRP" 9827 T ABELGRP (NIL) -9 NIL 9902 NIL) (-20 8820 8949 9165 "ABELGRP-" 9170 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4333 8082 8121 "A1AGG" 8126 NIL A1AGG (NIL T) -9 NIL 8166 NIL) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL NIL)) 
+\ No newline at end of file
diff --git a/src/share/algebra/operation.daase b/src/share/algebra/operation.daase
index d19c8f79..a86473ab 100644
--- a/src/share/algebra/operation.daase
+++ b/src/share/algebra/operation.daase
@@ -1,37 +1,36 @@
 
-(731541 . 3486820629)        
-(((*1 *2 *3)
-  (-12 (-5 *3 (-701 (-419 (-971 *4)))) (-4 *4 (-464))
-   (-5 *2 (-656 (-3 (-419 (-971 *4)) (-1186 (-1197) (-971 *4)))))
-   (-5 *1 (-302 *4))))) 
-(((*1 *1 *2 *3)
-  (-12 (-5 *2 (-518)) (-5 *3 (-656 (-984))) (-5 *1 (-109))))) 
-(((*1 *1 *1 *1)
-  (-12 (-5 *1 (-137 *2 *3 *4)) (-14 *2 (-576)) (-14 *3 (-783))
+(731751 . 3486833883)        
+(((*1 *2 *3 *4 *5 *6 *5)
+  (-12 (-5 *4 (-171 (-227))) (-5 *5 (-576)) (-5 *6 (-1179))
+   (-5 *3 (-227)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
+(((*1 *2 *3 *3 *3 *3 *4 *3 *5)
+  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227)))
+   (-5 *5 (-3 (|:| |fn| (-400)) (|:| |fp| (-79 LSFUN1))))
+   (-5 *2 (-1056)) (-5 *1 (-765))))) 
+(((*1 *1 *1) (-5 *1 (-1084)))) 
+(((*1 *2 *2 *1)
+  (-12 (-5 *2 (-1312 *3 *4)) (-4 *1 (-385 *3 *4)) (-4 *3 (-861))
    (-4 *4 (-174))))
- ((*1 *2 *2 *3)
-  (-12 (-5 *3 (-1197)) (-4 *4 (-568)) (-5 *1 (-159 *4 *2))
-   (-4 *2 (-442 *4))))
- ((*1 *2 *2 *3)
-  (-12 (-5 *3 (-1113 *2)) (-4 *2 (-442 *4)) (-4 *4 (-568))
-   (-5 *1 (-159 *4 *2))))
- ((*1 *1 *1 *2) (-12 (-5 *2 (-1113 *1)) (-4 *1 (-161))))
- ((*1 *1 *1 *2) (-12 (-4 *1 (-161)) (-5 *2 (-1197))))
+ ((*1 *1 *1 *1) (|partial| -12 (-4 *1 (-397 *2)) (-4 *2 (-1121))))
+ ((*1 *1 *1 *2) (|partial| -12 (-5 *1 (-831 *2)) (-4 *2 (-861))))
  ((*1 *1 *1 *1)
-  (-12 (-4 *1 (-477 *2 *3)) (-4 *2 (-174)) (-4 *3 (-23))))
- ((*1 *1 *1 *1 *2)
-  (-12 (-5 *2 (-783)) (-5 *1 (-1308 *3 *4)) (-4 *3 (-861))
-   (-4 *4 (-174))))) 
-(((*1 *2 *2)
-  (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2))
-   (-4 *2 (-13 (-442 *3) (-1223)))))) 
-(((*1 *2 *2) (|partial| -12 (-5 *1 (-570 *2)) (-4 *2 (-557))))) 
-(((*1 *1 *2 *2 *3) (-12 (-5 *2 (-1179)) (-5 *3 (-835)) (-5 *1 (-834))))) 
+  (-12 (-4 *1 (-1305 *2 *3)) (-4 *2 (-861)) (-4 *3 (-1070))))
+ ((*1 *1 *1 *2)
+  (-12 (-5 *2 (-831 *3)) (-4 *1 (-1305 *3 *4)) (-4 *3 (-861))
+   (-4 *4 (-1070))))
+ ((*1 *1 *1 *2)
+  (-12 (-4 *1 (-1305 *2 *3)) (-4 *2 (-861)) (-4 *3 (-1070))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-1092 *3 *4 *5 *6)) (-4 *3 (-464)) (-4 *4 (-805))
+   (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5)) (-5 *2 (-112))))
+ ((*1 *2 *3 *1)
+  (-12 (-4 *1 (-1092 *4 *5 *6 *3)) (-4 *4 (-464)) (-4 *5 (-805))
+   (-4 *6 (-861)) (-4 *3 (-1086 *4 *5 *6)) (-5 *2 (-112))))) 
 (((*1 *2 *3)
   (-12
    (-5 *3
     (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227)))
-     (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
+     (|:| -2951 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
      (|:| |relerr| (-227))))
    (-5 *2
     (-2
@@ -49,7 +48,7 @@
           (-3 (|:| |str| (-1178 (-227)))
            (|:| |notEvaluated|
                 "Internal singularities not yet evaluated")))
-     (|:| -3343
+     (|:| -2951
           (-3 (|:| |finite| "The range is finite")
            (|:| |lowerInfinite| "The bottom of range is infinite")
            (|:| |upperInfinite| "The top of range is infinite")
@@ -57,270 +56,289 @@
                 "Both top and bottom points are infinite")
            (|:| |notEvaluated| "Range not yet evaluated")))))
    (-5 *1 (-571))))) 
+(((*1 *1 *1 *2 *3)
+  (-12 (-5 *3 (-656 *6)) (-4 *6 (-861)) (-4 *4 (-374)) (-4 *5 (-805))
+   (-5 *1 (-516 *4 *5 *6 *2)) (-4 *2 (-968 *4 *5 *6))))
+ ((*1 *1 *1 *2)
+  (-12 (-4 *3 (-374)) (-4 *4 (-805)) (-4 *5 (-861))
+   (-5 *1 (-516 *3 *4 *5 *2)) (-4 *2 (-968 *3 *4 *5))))) 
 (((*1 *2 *2 *3)
   (-12 (-5 *1 (-691 *2 *3)) (-4 *2 (-1121)) (-4 *3 (-1121))))) 
-(((*1 *1 *2 *1) (-12 (-4 *1 (-107 *2)) (-4 *2 (-1238))))
- ((*1 *1 *2 *1) (-12 (-5 *1 (-122 *2)) (-4 *2 (-861))))
- ((*1 *1 *2 *1) (-12 (-5 *1 (-127 *2)) (-4 *2 (-861))))
- ((*1 *1 *1 *1 *2)
-  (-12 (-5 *2 (-576)) (-4 *1 (-292 *3)) (-4 *3 (-1238))))
- ((*1 *1 *2 *1 *3)
-  (-12 (-5 *3 (-576)) (-4 *1 (-292 *2)) (-4 *2 (-1238))))
- ((*1 *1 *2)
-  (-12
-   (-5 *2
-    (-2
-     (|:| -4300
-          (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227)))
-           (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
-           (|:| |relerr| (-227))))
-     (|:| -4438
-          (-2
-           (|:| |endPointContinuity|
-                (-3 (|:| |continuous| "Continuous at the end points")
-                 (|:| |lowerSingular|
-                      "There is a singularity at the lower end point")
-                 (|:| |upperSingular|
-                      "There is a singularity at the upper end point")
-                 (|:| |bothSingular|
-                      "There are singularities at both end points")
-                 (|:| |notEvaluated|
-                      "End point continuity not yet evaluated")))
-           (|:| |singularitiesStream|
-                (-3 (|:| |str| (-1178 (-227)))
-                 (|:| |notEvaluated|
-                      "Internal singularities not yet evaluated")))
-           (|:| -3343
-                (-3 (|:| |finite| "The range is finite")
-                 (|:| |lowerInfinite|
-                      "The bottom of range is infinite")
-                 (|:| |upperInfinite| "The top of range is infinite")
-                 (|:| |bothInfinite|
-                      "Both top and bottom points are infinite")
-                 (|:| |notEvaluated| "Range not yet evaluated")))))))
-   (-5 *1 (-571))))
- ((*1 *1 *2 *1 *3)
-  (-12 (-5 *3 (-783)) (-4 *1 (-707 *2)) (-4 *2 (-1121))))
- ((*1 *1 *2)
-  (-12
-   (-5 *2
-    (-2
-     (|:| -4300
-          (-2 (|:| |xinit| (-227)) (|:| |xend| (-227))
-           (|:| |fn| (-1288 (-326 (-227)))) (|:| |yinit| (-656 (-227)))
-           (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227)))
-           (|:| |abserr| (-227)) (|:| |relerr| (-227))))
-     (|:| -4438
-          (-2 (|:| |stiffness| (-390)) (|:| |stability| (-390))
-           (|:| |expense| (-390)) (|:| |accuracy| (-390))
-           (|:| |intermediateResults| (-390))))))
-   (-5 *1 (-815))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *2 (-1293)) (-5 *1 (-1215 *3 *4)) (-4 *3 (-1121))
-   (-4 *4 (-1121))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-145))))) 
-(((*1 *2 *3 *3)
-  (|partial| -12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
-      (-4 *7 (-1086 *4 *5 *6)) (-5 *2 (-112))
-      (-5 *1 (-1009 *4 *5 *6 *7 *3)) (-4 *3 (-1092 *4 *5 *6 *7))))
- ((*1 *2 *3 *3)
-  (|partial| -12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
-      (-4 *7 (-1086 *4 *5 *6)) (-5 *2 (-112))
-      (-5 *1 (-1128 *4 *5 *6 *7 *3)) (-4 *3 (-1092 *4 *5 *6 *7))))) 
-(((*1 *1 *2 *3)
-  (-12 (-5 *3 (-1178 *2)) (-4 *2 (-317)) (-5 *1 (-176 *2))))) 
-(((*1 *2 *2 *2)
-  (-12 (-4 *3 (-374)) (-5 *1 (-778 *2 *3)) (-4 *2 (-720 *3))))
- ((*1 *1 *1 *1) (-12 (-4 *1 (-866 *2)) (-4 *2 (-1070)) (-4 *2 (-374))))) 
-(((*1 *2 *3 *4 *4 *4 *5 *5 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *5 (-227))
-   (-5 *2 (-1056)) (-5 *1 (-763))))) 
 (((*1 *2 *3)
-  (-12 (-4 *3 (-1264 *2)) (-4 *2 (-1264 *4))
-   (-5 *1 (-1006 *4 *2 *3 *5)) (-4 *4 (-360)) (-4 *5 (-736 *2 *3))))) 
+  (-12 (-5 *3 (-1197)) (-5 *2 (-548)) (-5 *1 (-547 *4))
+   (-4 *4 (-1238))))) 
+(((*1 *1 *1 *2 *3)
+  (-12 (-5 *2 (-576)) (-4 *1 (-57 *4 *5 *3)) (-4 *4 (-1238))
+   (-4 *5 (-384 *4)) (-4 *3 (-384 *4))))) 
+(((*1 *2 *3 *3)
+  (-12 (-4 *4 (-568)) (-5 *2 (-2 (|:| |coef2| *3) (|:| -3230 *4)))
+   (-5 *1 (-990 *4 *3)) (-4 *3 (-1264 *4))))) 
+(((*1 *1 *1)
+  (-12 (-5 *1 (-50 *2 *3)) (-4 *2 (-1070)) (-14 *3 (-656 (-1197)))))
+ ((*1 *1 *1)
+  (-12 (-5 *1 (-225 *2 *3)) (-4 *2 (-13 (-1070) (-861)))
+   (-14 *3 (-656 (-1197)))))) 
+(((*1 *2 *1 *3)
+  (-12 (-4 *1 (-260 *4 *3 *5 *6)) (-4 *4 (-1070)) (-4 *3 (-861))
+   (-4 *5 (-275 *3)) (-4 *6 (-805)) (-5 *2 (-656 (-783)))))
+ ((*1 *2 *1)
+  (-12 (-4 *1 (-260 *3 *4 *5 *6)) (-4 *3 (-1070)) (-4 *4 (-861))
+   (-4 *5 (-275 *4)) (-4 *6 (-805)) (-5 *2 (-656 (-783)))))) 
+(((*1 *2 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-573))))) 
 (((*1 *2 *2 *3)
-  (-12 (-4 *4 (-1121)) (-4 *2 (-917 *4)) (-5 *1 (-704 *4 *2 *5 *3))
-   (-4 *5 (-384 *2)) (-4 *3 (-13 (-384 *4) (-10 -7 (-6 -4464))))))) 
-(((*1 *2 *2 *3 *2)
-  (-12 (-5 *2 (-701 *3)) (-4 *3 (-1070)) (-5 *1 (-702 *3))))) 
+  (|partial| -12 (-5 *3 (-783)) (-4 *4 (-13 (-568) (-148)))
+      (-5 *1 (-1258 *4 *2)) (-4 *2 (-1264 *4))))) 
+(((*1 *1 *2)
+  (-12 (-5 *2 (-656 (-656 *3))) (-4 *3 (-1121)) (-5 *1 (-1209 *3))))) 
+(((*1 *2 *3 *4 *4 *3 *5)
+  (-12 (-5 *4 (-624 *3)) (-5 *5 (-1193 *3))
+   (-4 *3 (-13 (-442 *6) (-27) (-1223)))
+   (-4 *6 (-13 (-464) (-1059 (-576)) (-148) (-651 (-576))))
+   (-5 *2 (-598 *3)) (-5 *1 (-572 *6 *3 *7)) (-4 *7 (-1121))))
+ ((*1 *2 *3 *4 *4 *4 *3 *5)
+  (-12 (-5 *4 (-624 *3)) (-5 *5 (-419 (-1193 *3)))
+   (-4 *3 (-13 (-442 *6) (-27) (-1223)))
+   (-4 *6 (-13 (-464) (-1059 (-576)) (-148) (-651 (-576))))
+   (-5 *2 (-598 *3)) (-5 *1 (-572 *6 *3 *7)) (-4 *7 (-1121))))) 
 (((*1 *2 *1) (-12 (-5 *2 (-1125)) (-5 *1 (-52))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-946))))) 
+(((*1 *2 *2) (|partial| -12 (-4 *1 (-1004 *2)) (-4 *2 (-1223))))) 
 (((*1 *1 *1) (-12 (-4 *1 (-249 *2)) (-4 *2 (-1238))))
  ((*1 *1 *1)
   (-12 (-4 *1 (-1086 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-805))
    (-4 *4 (-861))))
  ((*1 *1 *1) (-12 (-4 *1 (-1276 *2)) (-4 *2 (-1238))))) 
-(((*1 *1 *1 *1) (-12 (-5 *1 (-794 *2)) (-4 *2 (-1070))))) 
-(((*1 *1 *2)
-  (-12 (-5 *2 (-419 (-576))) (-4 *1 (-566 *3))
-   (-4 *3 (-13 (-416) (-1223)))))
- ((*1 *1 *2) (-12 (-4 *1 (-566 *2)) (-4 *2 (-13 (-416) (-1223)))))
- ((*1 *1 *2 *2) (-12 (-4 *1 (-566 *2)) (-4 *2 (-13 (-416) (-1223)))))) 
-(((*1 *2 *3 *4 *5)
-  (|partial| -12 (-5 *3 (-783)) (-4 *4 (-317)) (-4 *6 (-1264 *4))
-      (-5 *2 (-1288 (-656 *6))) (-5 *1 (-467 *4 *6)) (-5 *5 (-656 *6))))) 
-(((*1 *2 *3 *4 *2)
-  (-12 (-5 *2 (-656 (-2 (|:| |totdeg| (-783)) (|:| -4326 *3))))
-   (-5 *4 (-783)) (-4 *3 (-968 *5 *6 *7)) (-4 *5 (-464)) (-4 *6 (-805))
-   (-4 *7 (-861)) (-5 *1 (-461 *5 *6 *7 *3))))) 
-(((*1 *2 *2 *3 *3)
-  (-12 (-5 *2 (-656 *7)) (-5 *3 (-576)) (-4 *7 (-968 *4 *5 *6))
-   (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
-   (-5 *1 (-461 *4 *5 *6 *7))))) 
+(((*1 *2 *1) (|partial| -12 (-4 *1 (-1033)) (-5 *2 (-876))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-701 *8)) (-4 *8 (-968 *5 *7 *6))
+   (-4 *5 (-13 (-317) (-148))) (-4 *6 (-13 (-861) (-626 (-1197))))
+   (-4 *7 (-805))
+   (-5 *2
+    (-656
+     (-2 (|:| |eqzro| (-656 *8)) (|:| |neqzro| (-656 *8))
+      (|:| |wcond| (-656 (-971 *5)))
+      (|:| |bsoln|
+           (-2 (|:| |partsol| (-1288 (-419 (-971 *5))))
+            (|:| -1593 (-656 (-1288 (-419 (-971 *5))))))))))
+   (-5 *1 (-943 *5 *6 *7 *8)) (-5 *4 (-656 *8))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-701 *8)) (-5 *4 (-656 (-1197))) (-4 *8 (-968 *5 *7 *6))
+   (-4 *5 (-13 (-317) (-148))) (-4 *6 (-13 (-861) (-626 (-1197))))
+   (-4 *7 (-805))
+   (-5 *2
+    (-656
+     (-2 (|:| |eqzro| (-656 *8)) (|:| |neqzro| (-656 *8))
+      (|:| |wcond| (-656 (-971 *5)))
+      (|:| |bsoln|
+           (-2 (|:| |partsol| (-1288 (-419 (-971 *5))))
+            (|:| -1593 (-656 (-1288 (-419 (-971 *5))))))))))
+   (-5 *1 (-943 *5 *6 *7 *8))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-701 *7)) (-4 *7 (-968 *4 *6 *5))
+   (-4 *4 (-13 (-317) (-148))) (-4 *5 (-13 (-861) (-626 (-1197))))
+   (-4 *6 (-805))
+   (-5 *2
+    (-656
+     (-2 (|:| |eqzro| (-656 *7)) (|:| |neqzro| (-656 *7))
+      (|:| |wcond| (-656 (-971 *4)))
+      (|:| |bsoln|
+           (-2 (|:| |partsol| (-1288 (-419 (-971 *4))))
+            (|:| -1593 (-656 (-1288 (-419 (-971 *4))))))))))
+   (-5 *1 (-943 *4 *5 *6 *7))))
+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *3 (-701 *9)) (-5 *5 (-940)) (-4 *9 (-968 *6 *8 *7))
+   (-4 *6 (-13 (-317) (-148))) (-4 *7 (-13 (-861) (-626 (-1197))))
+   (-4 *8 (-805))
+   (-5 *2
+    (-656
+     (-2 (|:| |eqzro| (-656 *9)) (|:| |neqzro| (-656 *9))
+      (|:| |wcond| (-656 (-971 *6)))
+      (|:| |bsoln|
+           (-2 (|:| |partsol| (-1288 (-419 (-971 *6))))
+            (|:| -1593 (-656 (-1288 (-419 (-971 *6))))))))))
+   (-5 *1 (-943 *6 *7 *8 *9)) (-5 *4 (-656 *9))))
+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *3 (-701 *9)) (-5 *4 (-656 (-1197))) (-5 *5 (-940))
+   (-4 *9 (-968 *6 *8 *7)) (-4 *6 (-13 (-317) (-148)))
+   (-4 *7 (-13 (-861) (-626 (-1197)))) (-4 *8 (-805))
+   (-5 *2
+    (-656
+     (-2 (|:| |eqzro| (-656 *9)) (|:| |neqzro| (-656 *9))
+      (|:| |wcond| (-656 (-971 *6)))
+      (|:| |bsoln|
+           (-2 (|:| |partsol| (-1288 (-419 (-971 *6))))
+            (|:| -1593 (-656 (-1288 (-419 (-971 *6))))))))))
+   (-5 *1 (-943 *6 *7 *8 *9))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-701 *8)) (-5 *4 (-940)) (-4 *8 (-968 *5 *7 *6))
+   (-4 *5 (-13 (-317) (-148))) (-4 *6 (-13 (-861) (-626 (-1197))))
+   (-4 *7 (-805))
+   (-5 *2
+    (-656
+     (-2 (|:| |eqzro| (-656 *8)) (|:| |neqzro| (-656 *8))
+      (|:| |wcond| (-656 (-971 *5)))
+      (|:| |bsoln|
+           (-2 (|:| |partsol| (-1288 (-419 (-971 *5))))
+            (|:| -1593 (-656 (-1288 (-419 (-971 *5))))))))))
+   (-5 *1 (-943 *5 *6 *7 *8))))
+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *3 (-701 *9)) (-5 *4 (-656 *9)) (-5 *5 (-1179))
+   (-4 *9 (-968 *6 *8 *7)) (-4 *6 (-13 (-317) (-148)))
+   (-4 *7 (-13 (-861) (-626 (-1197)))) (-4 *8 (-805)) (-5 *2 (-576))
+   (-5 *1 (-943 *6 *7 *8 *9))))
+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *3 (-701 *9)) (-5 *4 (-656 (-1197))) (-5 *5 (-1179))
+   (-4 *9 (-968 *6 *8 *7)) (-4 *6 (-13 (-317) (-148)))
+   (-4 *7 (-13 (-861) (-626 (-1197)))) (-4 *8 (-805)) (-5 *2 (-576))
+   (-5 *1 (-943 *6 *7 *8 *9))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-701 *8)) (-5 *4 (-1179)) (-4 *8 (-968 *5 *7 *6))
+   (-4 *5 (-13 (-317) (-148))) (-4 *6 (-13 (-861) (-626 (-1197))))
+   (-4 *7 (-805)) (-5 *2 (-576)) (-5 *1 (-943 *5 *6 *7 *8))))
+ ((*1 *2 *3 *4 *5 *6)
+  (-12 (-5 *3 (-701 *10)) (-5 *4 (-656 *10)) (-5 *5 (-940))
+   (-5 *6 (-1179)) (-4 *10 (-968 *7 *9 *8)) (-4 *7 (-13 (-317) (-148)))
+   (-4 *8 (-13 (-861) (-626 (-1197)))) (-4 *9 (-805)) (-5 *2 (-576))
+   (-5 *1 (-943 *7 *8 *9 *10))))
+ ((*1 *2 *3 *4 *5 *6)
+  (-12 (-5 *3 (-701 *10)) (-5 *4 (-656 (-1197))) (-5 *5 (-940))
+   (-5 *6 (-1179)) (-4 *10 (-968 *7 *9 *8)) (-4 *7 (-13 (-317) (-148)))
+   (-4 *8 (-13 (-861) (-626 (-1197)))) (-4 *9 (-805)) (-5 *2 (-576))
+   (-5 *1 (-943 *7 *8 *9 *10))))
+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *3 (-701 *9)) (-5 *4 (-940)) (-5 *5 (-1179))
+   (-4 *9 (-968 *6 *8 *7)) (-4 *6 (-13 (-317) (-148)))
+   (-4 *7 (-13 (-861) (-626 (-1197)))) (-4 *8 (-805)) (-5 *2 (-576))
+   (-5 *1 (-943 *6 *7 *8 *9))))) 
+(((*1 *2 *3 *3 *3 *3)
+  (-12 (-5 *3 (-576)) (-5 *2 (-112)) (-5 *1 (-492))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-446))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-360)) (-5 *2 (-112)) (-5 *1 (-218 *4 *3))
+   (-4 *3 (-1264 *4))))) 
 (((*1 *1 *1 *2) (-12 (-5 *2 (-656 (-270))) (-5 *1 (-1289))))
  ((*1 *2 *1) (-12 (-5 *2 (-656 (-270))) (-5 *1 (-1289))))
  ((*1 *1 *1 *2) (-12 (-5 *2 (-656 (-270))) (-5 *1 (-1290))))
  ((*1 *2 *1) (-12 (-5 *2 (-656 (-270))) (-5 *1 (-1290))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-1170 *3)) (-4 *3 (-1238)) (-5 *2 (-112))))) 
+(((*1 *1 *2 *3) (-12 (-5 *2 (-518)) (-5 *3 (-609)) (-5 *1 (-597))))) 
+(((*1 *1 *1 *1 *1) (-4 *1 (-557)))) 
 (((*1 *2 *3 *4)
-  (|partial| -12 (-5 *3 (-1288 *4)) (-4 *4 (-13 (-1070) (-651 (-576))))
-      (-5 *2 (-1288 (-419 (-576)))) (-5 *1 (-1316 *4))))) 
-(((*1 *2 *2) (|partial| -12 (-4 *1 (-1004 *2)) (-4 *2 (-1223))))) 
-(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *3 *5)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227)))
-   (-5 *5 (-3 (|:| |fn| (-400)) (|:| |fp| (-66 FUNCT1))))
-   (-5 *2 (-1056)) (-5 *1 (-765))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-656 *2)) (-5 *1 (-1212 *2)) (-4 *2 (-374))))) 
-(((*1 *2 *2 *3)
-  (-12 (-5 *2 (-1288 *4)) (-5 *3 (-576)) (-4 *4 (-360))
-   (-5 *1 (-540 *4))))) 
-(((*1 *1 *1)
-  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
-(((*1 *1) (-5 *1 (-301)))) 
-(((*1 *2 *2)
-  (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2))
-   (-4 *2 (-13 (-442 *3) (-1223)))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-52)) (-5 *1 (-841))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-173))))
- ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-1233 *3)) (-4 *3 (-995))))) 
+  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-1125)) (-5 *1 (-340))))) 
+(((*1 *2 *3 *4)
+  (-12 (-4 *5 (-374))
+   (-5 *2 (-656 (-2 (|:| C (-701 *5)) (|:| |g| (-1288 *5)))))
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 (((*1 *2 *2)
-  (-12 (-4 *3 (-568)) (-5 *1 (-159 *3 *2)) (-4 *2 (-442 *3))))) 
+  (-12 (-5 *2 (-656 *6)) (-4 *6 (-1086 *3 *4 *5)) (-4 *3 (-148))
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 (((*1 *2 *3)
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-  (-12 (-4 *1 (-707 *3)) (-4 *3 (-1121))
-   (-5 *2 (-656 (-2 (|:| -4438 *3) (|:| -1460 (-783)))))))) 
+  (|partial| -12 (-5 *3 (-940))
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 (((*1 *2 *3)
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+  (-12
+   (-5 *2
+    (-656
+     (-2 (|:| |lcmfij| *4) (|:| |totdeg| (-783)) (|:| |poli| *6)
+      (|:| |polj| *6))))
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 (((*1 *2 *3)
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  ((*1 *2 *3 *4)
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 (((*1 *2 *3 *4)
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-   (-4 *3 (-804))))) 
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+   (-5 *1 (-640 *5 *6))))) 
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+  (-12 (-5 *1 (-137 *2 *3 *4)) (-14 *2 (-576)) (-14 *3 (-783))
+   (-4 *4 (-174))))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 (-2 (|:| |val| (-656 *8)) (|:| -3987 *9))))
+  (-12 (-5 *3 (-656 (-2 (|:| |val| (-656 *8)) (|:| -3988 *9))))
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    (-5 *1 (-1090 *5 *6 *7 *8 *9))))
  ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 (-2 (|:| |val| (-656 *8)) (|:| -3987 *9))))
+  (-12 (-5 *3 (-656 (-2 (|:| |val| (-656 *8)) (|:| -3988 *9))))
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    (-5 *1 (-1166 *5 *6 *7 *8 *9))))) 
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 (((*1 *2)
-  (-12 (-4 *4 (-374)) (-5 *2 (-783)) (-5 *1 (-338 *3 *4))
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- ((*1 *2) (-12 (-4 *1 (-1307 *3)) (-4 *3 (-374)) (-5 *2 (-783))))) 
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- ((*1 *1)
-  (-12 (-5 *1 (-465 *2 *3 *4 *5)) (-4 *2 (-174)) (-14 *3 (-940))
-   (-14 *4 (-656 (-1197))) (-14 *5 (-1288 (-701 *2)))))) 
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+   (-4 *3 (-378 *4))))
+ ((*1 *2) (-12 (-4 *1 (-378 *3)) (-4 *3 (-174)) (-5 *2 (-112))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-171 *5)) (-4 *5 (-13 (-442 *4) (-1023) (-1223)))
+   (-4 *4 (-568)) (-4 *2 (-13 (-442 (-171 *4)) (-1023) (-1223)))
+   (-5 *1 (-612 *4 *5 *2))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-343)) (-5 *1 (-255))))) 
+(((*1 *2 *3 *3 *4 *3)
+  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
+   (-5 *1 (-767))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-360)) (-5 *2 (-430 *3)) (-5 *1 (-218 *4 *3))
+   (-4 *3 (-1264 *4))))
+ ((*1 *2 *3)
+  (-12 (-5 *2 (-430 *3)) (-5 *1 (-454 *3)) (-4 *3 (-1264 (-576)))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *4 (-783)) (-5 *2 (-430 *3)) (-5 *1 (-454 *3))
+   (-4 *3 (-1264 (-576)))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *4 (-656 (-783))) (-5 *2 (-430 *3)) (-5 *1 (-454 *3))
+   (-4 *3 (-1264 (-576)))))
+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *4 (-656 (-783))) (-5 *5 (-783)) (-5 *2 (-430 *3))
+   (-5 *1 (-454 *3)) (-4 *3 (-1264 (-576)))))
+ ((*1 *2 *3 *4 *4)
+  (-12 (-5 *4 (-783)) (-5 *2 (-430 *3)) (-5 *1 (-454 *3))
+   (-4 *3 (-1264 (-576)))))
+ ((*1 *2 *3)
+  (-12 (-5 *2 (-430 *3)) (-5 *1 (-1028 *3))
+   (-4 *3 (-1264 (-419 (-576))))))
+ ((*1 *2 *3)
+  (-12 (-5 *2 (-430 *3)) (-5 *1 (-1253 *3)) (-4 *3 (-1264 (-576)))))) 
+(((*1 *1 *1)
+  (-12 (-4 *1 (-1086 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-805))
+   (-4 *4 (-861))))) 
+(((*1 *2)
+  (-12 (-5 *2 (-783)) (-5 *1 (-121 *3)) (-4 *3 (-1264 (-576)))))
+ ((*1 *2 *2)
+  (-12 (-5 *2 (-783)) (-5 *1 (-121 *3)) (-4 *3 (-1264 (-576)))))) 
 (((*1 *1 *1) (-4 *1 (-35)))
  ((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
@@ -337,113 +355,100 @@
  ((*1 *2 *2)
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))) 
-(((*1 *2 *1 *1)
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-   (-5 *2 (-112))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-985 *3)) (-4 *3 (-1121)) (-5 *1 (-986 *3))))) 
-(((*1 *2 *2)
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-(((*1 *2 *3)
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-   (-4 *6 (-805)) (-5 *2 (-656 *3)) (-5 *1 (-943 *4 *5 *6 *3))
-   (-4 *3 (-968 *4 *6 *5))))) 
-(((*1 *2 *2 *3)
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-(((*1 *2 *3 *4)
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-   (-4 *5 (-568)) (-5 *2 (-656 (-656 (-971 *5)))) (-5 *1 (-1206 *5))))) 
+(((*1 *2 *3 *3 *3 *3 *3 *4 *3 *4 *3 *5 *5 *3)
+  (-12 (-5 *3 (-576)) (-5 *4 (-112)) (-5 *5 (-701 (-171 (-227))))
+   (-5 *2 (-1056)) (-5 *1 (-767))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-227)) (-5 *1 (-228))))
+ ((*1 *2 *2) (-12 (-5 *2 (-171 (-227))) (-5 *1 (-228))))
+ ((*1 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-443 *3 *2)) (-4 *2 (-442 *3))))
+ ((*1 *1 *1) (-4 *1 (-1160)))) 
+(((*1 *2 *1) (-12 (-5 *2 (-656 (-656 (-227)))) (-5 *1 (-945))))) 
 (((*1 *2 *3)
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-(((*1 *2 *3) (-12 (-5 *3 (-390)) (-5 *2 (-1179)) (-5 *1 (-315))))) 
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- ((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-1179))) (-5 *2 (-576)) (-5 *1 (-246))))) 
+  (-12 (-5 *3 (-656 (-493 *4 *5))) (-14 *4 (-656 (-1197)))
+   (-4 *5 (-464)) (-5 *2 (-656 (-253 *4 *5))) (-5 *1 (-643 *4 *5))))) 
+(((*1 *2 *3 *4 *4 *2 *2 *2 *2)
+  (-12 (-5 *2 (-576))
+   (-5 *3
+    (-2 (|:| |lcmfij| *6) (|:| |totdeg| (-783)) (|:| |poli| *4)
+     (|:| |polj| *4)))
+   (-4 *6 (-805)) (-4 *4 (-968 *5 *6 *7)) (-4 *5 (-464)) (-4 *7 (-861))
+   (-5 *1 (-461 *5 *6 *7 *4))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-576)) (-4 *4 (-1264 (-419 *3))) (-5 *2 (-940))
-   (-5 *1 (-932 *4 *5)) (-4 *5 (-1264 (-419 *4)))))) 
+  (-12 (-5 *3 (-962 *2)) (-5 *1 (-1003 *2)) (-4 *2 (-1070))))) 
+(((*1 *2 *2) (|partial| -12 (-4 *1 (-1004 *2)) (-4 *2 (-1223))))) 
 (((*1 *2 *3)
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-            (|:| |wcond| (-656 (-971 *8)))
-            (|:| |bsoln|
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- ((*1 *2)
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+(((*1 *1 *1 *2 *1)
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+ ((*1 *1 *1 *1)
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+  (-12 (-5 *2 (-656 *6)) (-4 *6 (-1086 *3 *4 *5)) (-4 *3 (-568))
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+ ((*1 *2 *2 *2 *3)
+  (-12 (-5 *2 (-656 *7)) (-5 *3 (-112)) (-4 *7 (-1086 *4 *5 *6))
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+(((*1 *2 *3)
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+   (-4 *6 (-1121)) (-5 *2 (-1 *6 *5 *4)) (-5 *1 (-696 *4 *5 *6))))) 
+(((*1 *2)
+  (-12 (-4 *3 (-568)) (-5 *2 (-656 *4)) (-5 *1 (-43 *3 *4))
+   (-4 *4 (-429 *3))))) 
+(((*1 *1 *1)
+  (-12 (-4 *2 (-317)) (-4 *3 (-1013 *2)) (-4 *4 (-1264 *3))
+   (-5 *1 (-425 *2 *3 *4 *5)) (-4 *5 (-13 (-421 *3 *4) (-1059 *3)))))) 
+(((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-1027))))) 
+(((*1 *1) (-12 (-4 *1 (-437 *2)) (-4 *2 (-379)) (-4 *2 (-1121))))) 
+(((*1 *1 *1 *1)
+  (-12 (-4 *1 (-1086 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-805))
+   (-4 *4 (-861)) (-4 *2 (-568))))
+ ((*1 *1 *1 *2)
+  (-12 (-4 *1 (-1086 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-805))
+   (-4 *4 (-861)) (-4 *2 (-568))))) 
+(((*1 *1 *2 *2 *2) (-12 (-5 *1 (-897 *2)) (-4 *2 (-1238))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-576)) (-5 *2 (-656 (-656 (-227)))) (-5 *1 (-1234))))) 
 (((*1 *2 *3 *3)
   (-12 (-5 *3 (-783)) (-5 *2 (-1288 (-656 (-576)))) (-5 *1 (-492))))
  ((*1 *1 *2 *3)
@@ -451,16 +456,30 @@
  ((*1 *1 *2 *3)
   (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1238)) (-5 *1 (-1178 *3))))
  ((*1 *1 *2) (-12 (-5 *2 (-1 *3)) (-4 *3 (-1238)) (-5 *1 (-1178 *3))))) 
-(((*1 *2 *3 *1)
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-   (-4 *6 (-861)) (-4 *3 (-1086 *4 *5 *6)) (-4 *4 (-568))
-   (-5 *2 (-2 (|:| |num| *3) (|:| |den| *4)))))) 
-(((*1 *2 *1)
-  (-12 (-4 *1 (-1086 *3 *4 *5)) (-4 *3 (-1070)) (-4 *4 (-805))
-   (-4 *5 (-861)) (-5 *2 (-783))))) 
-(((*1 *2 *2)
-  (-12 (-4 *3 (-464)) (-4 *4 (-805)) (-4 *5 (-861))
-   (-5 *1 (-461 *3 *4 *5 *2)) (-4 *2 (-968 *3 *4 *5))))) 
+(((*1 *1 *1)
+  (-12 (-4 *1 (-1124 *2 *3 *4 *5 *6)) (-4 *2 (-1121)) (-4 *3 (-1121))
+   (-4 *4 (-1121)) (-4 *5 (-1121)) (-4 *6 (-1121))))) 
+(((*1 *2) (-12 (-4 *2 (-174)) (-5 *1 (-166 *3 *2)) (-4 *3 (-167 *2))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-1288 *1)) (-4 *1 (-381 *2 *4)) (-4 *4 (-1264 *2))
+   (-4 *2 (-174))))
+ ((*1 *2)
+  (-12 (-4 *4 (-1264 *2)) (-4 *2 (-174)) (-5 *1 (-420 *3 *2 *4))
+   (-4 *3 (-421 *2 *4))))
+ ((*1 *2) (-12 (-4 *1 (-421 *2 *3)) (-4 *3 (-1264 *2)) (-4 *2 (-174))))
+ ((*1 *2)
+  (-12 (-4 *3 (-1264 *2)) (-5 *2 (-576)) (-5 *1 (-780 *3 *4))
+   (-4 *4 (-421 *2 *3))))
+ ((*1 *1 *1 *2)
+  (-12 (-4 *1 (-968 *3 *4 *2)) (-4 *3 (-1070)) (-4 *4 (-805))
+   (-4 *2 (-861)) (-4 *3 (-174))))
+ ((*1 *2 *3)
+  (-12 (-4 *2 (-568)) (-5 *1 (-990 *2 *3)) (-4 *3 (-1264 *2))))
+ ((*1 *2 *1) (-12 (-4 *1 (-1264 *2)) (-4 *2 (-1070)) (-4 *2 (-174))))) 
+(((*1 *1 *1)
+  (-12 (-4 *2 (-360)) (-4 *2 (-1070)) (-5 *1 (-724 *2 *3))
+   (-4 *3 (-1264 *2))))) 
+(((*1 *2 *1 *3) (-12 (-5 *3 (-835)) (-5 *2 (-1293)) (-5 *1 (-834))))) 
 (((*1 *2 *1)
   (-12
    (-5 *2
@@ -469,7 +488,7 @@
           (-2 (|:| |var| (-1197))
            (|:| |arrayIndex| (-656 (-971 (-576))))
            (|:| |rand|
-                (-2 (|:| |ints2Floats?| (-112)) (|:| -3003 (-876))))))
+                (-2 (|:| |ints2Floats?| (-112)) (|:| -3004 (-876))))))
      (|:| |arrayAssignmentBranch|
           (-2 (|:| |var| (-1197)) (|:| |rand| (-876))
            (|:| |ints2Floats?| (-112))))
@@ -477,335 +496,351 @@
           (-2 (|:| |switch| (-1196)) (|:| |thenClause| (-340))
            (|:| |elseClause| (-340))))
      (|:| |returnBranch|
-          (-2 (|:| -2866 (-112))
-           (|:| -3104
-                (-2 (|:| |ints2Floats?| (-112)) (|:| -3003 (-876))))))
+          (-2 (|:| -3973 (-112))
+           (|:| -3106
+                (-2 (|:| |ints2Floats?| (-112)) (|:| -3004 (-876))))))
      (|:| |blockBranch| (-656 (-340)))
      (|:| |commentBranch| (-656 (-1179))) (|:| |callBranch| (-1179))
      (|:| |forBranch|
-          (-2 (|:| -3343 (-1113 (-971 (-576))))
-           (|:| |span| (-971 (-576))) (|:| -2639 (-340))))
+          (-2 (|:| -2951 (-1113 (-971 (-576))))
+           (|:| |span| (-971 (-576))) (|:| -2641 (-340))))
      (|:| |labelBranch| (-1141))
-     (|:| |loopBranch| (-2 (|:| |switch| (-1196)) (|:| -2639 (-340))))
+     (|:| |loopBranch| (-2 (|:| |switch| (-1196)) (|:| -2641 (-340))))
      (|:| |commonBranch|
-          (-2 (|:| -2627 (-1197)) (|:| |contents| (-656 (-1197)))))
+          (-2 (|:| -2629 (-1197)) (|:| |contents| (-656 (-1197)))))
      (|:| |printBranch| (-656 (-876)))))
    (-5 *1 (-340))))) 
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- ((*1 *2 *3 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-390)) (-5 *1 (-97))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *2 (-1193 *6)) (-5 *3 (-576)) (-4 *6 (-317)) (-4 *4 (-805))
+   (-4 *5 (-861)) (-5 *1 (-754 *4 *5 *6 *7)) (-4 *7 (-968 *6 *4 *5))))) 
 (((*1 *2 *2)
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+ ((*1 *2 *3 *4)
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-    (-3 (-855 *3)
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-      (|:| |rightHandLimit| (-3 (-855 *3) "failed")))
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-      (|:| |rightHandLimit| (-3 (-855 (-419 (-971 *5))) "failed")))
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  ((*1 *2 *3 *4)
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  ((*1 *2 *3 *4 *5)
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-      (-5 *1 (-649 *6))))) 
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+(((*1 *1 *1 *2 *2)
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 (((*1 *2 *3)
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 (((*1 *2 *3)
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+   (-4 *5 (-13 (-374) (-860)))))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *4 (-1 *3 *3)) (-4 *3 (-1264 *5)) (-4 *5 (-374))
-   (-5 *2 (-2 (|:| -3014 (-430 *3)) (|:| |special| (-430 *3))))
-   (-5 *1 (-739 *5 *3))))) 
+  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
 (((*1 *2 *1 *3 *2)
   (-12 (-5 *3 (-783)) (-5 *1 (-215 *4 *2)) (-14 *4 (-940))
    (-4 *2 (-1121))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-940))) (-5 *2 (-1199 (-419 (-576))))
-   (-5 *1 (-192))))) 
-(((*1 *2 *3)
-  (-12
-   (-5 *3
-    (-2 (|:| |xinit| (-227)) (|:| |xend| (-227))
-     (|:| |fn| (-1288 (-326 (-227)))) (|:| |yinit| (-656 (-227)))
-     (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227)))
-     (|:| |abserr| (-227)) (|:| |relerr| (-227))))
-   (-5 *2 (-390)) (-5 *1 (-207))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 *5)) (-5 *4 (-940)) (-4 *5 (-861))
+   (-5 *2 (-59 (-656 (-684 *5)))) (-5 *1 (-684 *5))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-1197)) (-4 *5 (-374)) (-5 *2 (-656 (-1232 *5)))
+   (-5 *1 (-1296 *5)) (-5 *4 (-1232 *5))))) 
+(((*1 *2 *1 *3)
+  (-12 (-5 *3 (-576)) (-4 *1 (-333 *2 *4)) (-4 *4 (-132))
+   (-4 *2 (-1121))))
+ ((*1 *2 *1 *3) (-12 (-5 *3 (-576)) (-5 *1 (-372 *2)) (-4 *2 (-1121))))
+ ((*1 *2 *1 *3) (-12 (-5 *3 (-576)) (-4 *1 (-397 *2)) (-4 *2 (-1121))))
+ ((*1 *2 *1 *3) (-12 (-5 *3 (-576)) (-5 *1 (-430 *2)) (-4 *2 (-568))))
+ ((*1 *2 *1 *3)
+  (-12 (-5 *3 (-576)) (-4 *2 (-1121)) (-5 *1 (-661 *2 *4 *5))
+   (-4 *4 (-23)) (-14 *5 *4)))) 
 (((*1 *2 *1)
-  (|partial| -12 (-4 *3 (-13 (-1059 (-576)) (-651 (-576)) (-464)))
-      (-5 *2
-       (-2
-        (|:| |%term|
-             (-2 (|:| |%coef| (-1273 *4 *5 *6))
-              (|:| |%expon| (-329 *4 *5 *6))
-              (|:| |%expTerms|
-                   (-656 (-2 (|:| |k| (-419 (-576))) (|:| |c| *4))))))
-        (|:| |%type| (-1179))))
-      (-5 *1 (-1274 *3 *4 *5 *6)) (-4 *4 (-13 (-27) (-1223) (-442 *3)))
-      (-14 *5 (-1197)) (-14 *6 *4)))) 
-(((*1 *1 *2)
-  (-12 (-5 *2 (-656 (-656 *3))) (-4 *3 (-1121)) (-5 *1 (-924 *3))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-227)) (-5 *1 (-228))))
- ((*1 *2 *2) (-12 (-5 *2 (-171 (-227))) (-5 *1 (-228))))) 
-(((*1 *1 *2)
-  (-12 (-5 *2 (-656 *1)) (-4 *3 (-1070)) (-4 *1 (-699 *3 *4 *5))
-   (-4 *4 (-384 *3)) (-4 *5 (-384 *3))))
- ((*1 *1 *2)
-  (-12 (-5 *2 (-656 *3)) (-4 *3 (-1070)) (-4 *1 (-699 *3 *4 *5))
-   (-4 *4 (-384 *3)) (-4 *5 (-384 *3))))
- ((*1 *1 *2)
-  (-12 (-5 *2 (-1288 *3)) (-4 *3 (-1070)) (-5 *1 (-701 *3))))
- ((*1 *1 *2)
-  (-12 (-5 *2 (-656 *4)) (-4 *4 (-1070)) (-4 *1 (-1144 *3 *4 *5 *6))
-   (-4 *5 (-243 *3 *4)) (-4 *6 (-243 *3 *4))))) 
+  (-12 (-4 *1 (-1231 *3 *4 *5 *6)) (-4 *3 (-568)) (-4 *4 (-805))
+   (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5)) (-5 *2 (-656 *6))))) 
 (((*1 *2 *1 *3 *3)
   (-12 (-5 *3 (-576)) (-4 *1 (-57 *2 *4 *5)) (-4 *4 (-384 *2))
    (-4 *5 (-384 *2)) (-4 *2 (-1238))))
@@ -817,74 +852,83 @@
  ((*1 *2 *1 *3 *3)
   (-12 (-5 *3 (-576)) (-4 *1 (-1074 *4 *5 *2 *6 *7))
    (-4 *6 (-243 *5 *2)) (-4 *7 (-243 *4 *2)) (-4 *2 (-1070))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-374)) (-4 *4 (-568)) (-4 *5 (-1264 *4))
-   (-5 *2 (-2 (|:| -2511 (-635 *4 *5)) (|:| -2108 (-419 *5))))
-   (-5 *1 (-635 *4 *5)) (-5 *3 (-419 *5))))
- ((*1 *2 *1)
-  (-12 (-5 *2 (-656 (-1185 *3 *4))) (-5 *1 (-1185 *3 *4))
-   (-14 *3 (-940)) (-4 *4 (-1070))))
- ((*1 *2 *1 *1)
-  (-12 (-4 *3 (-464)) (-4 *3 (-1070))
-   (-5 *2 (-2 (|:| |primePart| *1) (|:| |commonPart| *1)))
-   (-4 *1 (-1264 *3))))) 
-(((*1 *2 *1)
-  (-12 (-4 *3 (-1070)) (-5 *2 (-1288 *3)) (-5 *1 (-724 *3 *4))
-   (-4 *4 (-1264 *3))))) 
-(((*1 *2 *2)
-  (-12 (-5 *2 (-783)) (-5 *1 (-457 *3)) (-4 *3 (-416)) (-4 *3 (-1070))))
- ((*1 *2)
-  (-12 (-5 *2 (-783)) (-5 *1 (-457 *3)) (-4 *3 (-416)) (-4 *3 (-1070))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *4 (-1 *2 *2)) (-4 *5 (-374)) (-4 *6 (-1264 (-419 *2)))
-   (-4 *2 (-1264 *5)) (-5 *1 (-217 *5 *2 *6 *3))
-   (-4 *3 (-353 *5 *2 *6))))) 
-(((*1 *2 *1 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-1290))))) 
+(((*1 *2 *2 *3 *4 *4)
+  (-12 (-5 *4 (-576)) (-4 *3 (-174)) (-4 *5 (-384 *3))
+   (-4 *6 (-384 *3)) (-5 *1 (-700 *3 *5 *6 *2))
+   (-4 *2 (-699 *3 *5 *6))))) 
+(((*1 *2 *2 *2 *3)
+  (-12 (-5 *2 (-1288 (-576))) (-5 *3 (-576)) (-5 *1 (-1131))))
+ ((*1 *2 *3 *2 *4)
+  (-12 (-5 *2 (-1288 (-576))) (-5 *3 (-656 (-576))) (-5 *4 (-576))
+   (-5 *1 (-1131))))) 
+(((*1 *2 *3) (-12 (-5 *2 (-112)) (-5 *1 (-599 *3)) (-4 *3 (-557))))) 
+(((*1 *2 *1 *1 *3 *4)
+  (-12 (-5 *3 (-1 (-112) *5 *5)) (-5 *4 (-1 (-112) *6 *6))
+   (-4 *5 (-13 (-1121) (-34))) (-4 *6 (-13 (-1121) (-34)))
+   (-5 *2 (-112)) (-5 *1 (-1161 *5 *6))))) 
+(((*1 *2 *3 *3)
+  (-12 (-4 *4 (-1070)) (-4 *2 (-699 *4 *5 *6))
+   (-5 *1 (-104 *4 *3 *2 *5 *6)) (-4 *3 (-1264 *4)) (-4 *5 (-384 *4))
+   (-4 *6 (-384 *4))))) 
+(((*1 *1 *2 *3) (-12 (-5 *2 (-518)) (-5 *3 (-1139)) (-5 *1 (-1136))))) 
 (((*1 *2 *1)
-  (-12 (-4 *1 (-922 *3)) (-4 *3 (-1121)) (-5 *2 (-1123 *3))))
+  (-12 (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1238)) (-4 *4 (-384 *3))
+   (-4 *5 (-384 *3)) (-5 *2 (-576))))
  ((*1 *2 *1)
-  (-12 (-5 *2 (-1123 *3)) (-5 *1 (-923 *3)) (-4 *3 (-1121))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-1 *7 *5)) (-4 *5 (-1070)) (-4 *7 (-1070))
-   (-4 *6 (-1264 *5)) (-5 *2 (-1193 (-1193 *7)))
-   (-5 *1 (-513 *5 *6 *4 *7)) (-4 *4 (-1264 *6))))) 
-(((*1 *2 *3 *4)
-  (-12 (-4 *5 (-568))
-   (-5 *2 (-2 (|:| -3752 (-701 *5)) (|:| |vec| (-1288 (-656 (-940))))))
-   (-5 *1 (-90 *5 *3)) (-5 *4 (-940)) (-4 *3 (-668 *5))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-1193 *2)) (-4 *2 (-968 (-419 (-971 *6)) *5 *4))
-   (-5 *1 (-744 *5 *4 *6 *2)) (-4 *5 (-805))
-   (-4 *4 (-13 (-861) (-10 -8 (-15 -4171 ((-1197) $)))))
-   (-4 *6 (-568))))) 
-(((*1 *2 *3 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-390)) (-5 *1 (-97))))) 
+  (-12 (-4 *1 (-1074 *3 *4 *5 *6 *7)) (-4 *5 (-1070))
+   (-4 *6 (-243 *4 *5)) (-4 *7 (-243 *3 *5)) (-5 *2 (-576))))) 
+(((*1 *2 *3 *4 *4 *3 *5 *3 *3 *3 *6)
+  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *5 (-227))
+   (-5 *6 (-3 (|:| |fn| (-400)) (|:| |fp| (-78 FUNCTN))))
+   (-5 *2 (-1056)) (-5 *1 (-760))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-971 *5)) (-4 *5 (-1070)) (-5 *2 (-493 *4 *5))
+   (-5 *1 (-963 *4 *5)) (-14 *4 (-656 (-1197)))))) 
+(((*1 *2) (-12 (-5 *2 (-888)) (-5 *1 (-1291))))
+ ((*1 *2 *2) (-12 (-5 *2 (-888)) (-5 *1 (-1291))))) 
+(((*1 *1) (-12 (-4 *1 (-339 *2)) (-4 *2 (-379)) (-4 *2 (-374))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-940)) (-5 *2 (-1288 *4)) (-5 *1 (-540 *4))
+   (-4 *4 (-360))))) 
+(((*1 *1) (-5 *1 (-1106)))) 
+(((*1 *2 *1 *3) (-12 (-4 *1 (-539)) (-5 *3 (-129)) (-5 *2 (-783))))) 
+(((*1 *1 *1 *1) (-5 *1 (-876))) ((*1 *1 *1) (-5 *1 (-876)))
+ ((*1 *1 *2 *3)
+  (-12 (-5 *2 (-1193 (-576))) (-5 *3 (-576)) (-4 *1 (-883 *4))))) 
 (((*1 *1 *1 *2)
-  (-12 (-5 *2 (-783)) (-4 *1 (-1305 *3 *4)) (-4 *3 (-861))
-   (-4 *4 (-1070)) (-4 *4 (-174))))
- ((*1 *1 *1 *1)
-  (-12 (-4 *1 (-1305 *2 *3)) (-4 *2 (-861)) (-4 *3 (-1070))
-   (-4 *3 (-174))))) 
+  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
+(((*1 *2 *3 *3)
+  (-12 (-4 *4 (-374)) (-5 *2 (-2 (|:| -2715 *3) (|:| -3624 *3)))
+   (-5 *1 (-778 *3 *4)) (-4 *3 (-720 *4))))
+ ((*1 *2 *1 *1)
+  (-12 (-4 *3 (-374)) (-4 *3 (-1070))
+   (-5 *2 (-2 (|:| -2715 *1) (|:| -3624 *1))) (-4 *1 (-866 *3))))
+ ((*1 *2 *3 *3 *4)
+  (-12 (-5 *4 (-99 *5)) (-4 *5 (-374)) (-4 *5 (-1070))
+   (-5 *2 (-2 (|:| -2715 *3) (|:| -3624 *3))) (-5 *1 (-867 *5 *3))
+   (-4 *3 (-866 *5))))) 
 (((*1 *1 *1)
   (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
-(((*1 *2 *3 *2)
-  (-12 (-5 *2 (-888)) (-5 *3 (-656 (-270))) (-5 *1 (-268))))) 
-(((*1 *2 *1 *3 *3 *3 *2)
-  (-12 (-5 *3 (-783)) (-5 *1 (-687 *2)) (-4 *2 (-1121))))) 
-(((*1 *1 *1) (-5 *1 (-876)))) 
+(((*1 *2 *3 *4 *4 *5)
+  (-12 (-5 *3 (-1179)) (-5 *4 (-576)) (-5 *5 (-701 (-227)))
+   (-5 *2 (-1056)) (-5 *1 (-769))))) 
+(((*1 *2 *3 *3 *3)
+  (-12 (-5 *3 (-1179)) (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
+   (-4 *7 (-1086 *4 *5 *6)) (-5 *2 (-1293))
+   (-5 *1 (-1093 *4 *5 *6 *7 *8)) (-4 *8 (-1092 *4 *5 *6 *7))))
+ ((*1 *2 *3 *3 *3)
+  (-12 (-5 *3 (-1179)) (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
+   (-4 *7 (-1086 *4 *5 *6)) (-5 *2 (-1293))
+   (-5 *1 (-1129 *4 *5 *6 *7 *8)) (-4 *8 (-1092 *4 *5 *6 *7))))) 
+(((*1 *2 *3 *3)
+  (-12 (-4 *4 (-568)) (-5 *2 (-656 (-783))) (-5 *1 (-990 *4 *3))
+   (-4 *3 (-1264 *4))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-703 *3)) (-5 *1 (-985 *3)) (-4 *3 (-1121))))) 
 (((*1 *2 *3)
-  (-12 (-4 *4 (-568)) (-4 *2 (-13 (-442 (-171 *4)) (-1023) (-1223)))
-   (-5 *1 (-612 *4 *3 *2)) (-4 *3 (-13 (-442 *4) (-1023) (-1223)))))) 
-(((*1 *1 *2) (-12 (-5 *2 (-158)) (-5 *1 (-888))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-390)) (-5 *1 (-1290))))
- ((*1 *2) (-12 (-5 *2 (-390)) (-5 *1 (-1290))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-1016 *2)) (-4 *2 (-1238))))) 
-(((*1 *2 *1 *3) (-12 (-4 *1 (-34)) (-5 *3 (-783)) (-5 *2 (-112))))
- ((*1 *2 *3 *3)
-  (-12 (-5 *2 (-112)) (-5 *1 (-1239 *3)) (-4 *3 (-861))
-   (-4 *3 (-1121))))) 
-(((*1 *1 *2) (-12 (-5 *2 (-656 (-876))) (-5 *1 (-876))))
- ((*1 *1 *1) (-5 *1 (-876)))) 
-(((*1 *2 *1) (-12 (-5 *2 (-227)) (-5 *1 (-834))))) 
+  (-12 (-5 *3 (-940)) (-5 *2 (-1199 (-419 (-576)))) (-5 *1 (-192))))) 
+(((*1 *2 *2 *2 *2 *2 *3)
+  (-12 (-5 *2 (-701 *4)) (-5 *3 (-783)) (-4 *4 (-1070))
+   (-5 *1 (-702 *4))))) 
 (((*1 *1 *1) (-12 (-4 *1 (-120 *2)) (-4 *2 (-1238))))
  ((*1 *1 *1) (-12 (-5 *1 (-684 *2)) (-4 *2 (-861))))
  ((*1 *1 *1) (-12 (-5 *1 (-689 *2)) (-4 *2 (-861))))
@@ -893,95 +937,45 @@
  ((*1 *2 *1)
   (-12 (-4 *2 (-13 (-860) (-374))) (-5 *1 (-1082 *2 *3))
    (-4 *3 (-1264 *2))))) 
-(((*1 *2 *2 *3 *3)
-  (-12 (-5 *2 (-1261 *4 *5)) (-5 *3 (-656 *5)) (-14 *4 (-1197))
-   (-4 *5 (-374)) (-5 *1 (-942 *4 *5))))
- ((*1 *2 *3 *3)
-  (-12 (-5 *3 (-656 *5)) (-4 *5 (-374)) (-5 *2 (-1193 *5))
-   (-5 *1 (-942 *4 *5)) (-14 *4 (-1197))))
- ((*1 *2 *3 *3 *4 *4)
-  (-12 (-5 *3 (-656 *6)) (-5 *4 (-783)) (-4 *6 (-374))
-   (-5 *2 (-419 (-971 *6))) (-5 *1 (-1071 *5 *6)) (-14 *5 (-1197))))) 
-(((*1 *2 *3 *3 *4 *4 *5 *4 *5 *4 *4 *5 *4)
-  (-12 (-5 *3 (-1179)) (-5 *4 (-576)) (-5 *5 (-701 (-171 (-227))))
-   (-5 *2 (-1056)) (-5 *1 (-766))))) 
-(((*1 *1 *2) (-12 (-5 *2 (-656 (-876))) (-5 *1 (-340))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-13 (-374) (-148) (-1059 (-419 (-576)))))
-   (-4 *5 (-1264 *4)) (-5 *2 (-656 (-2 (|:| -2394 *5) (|:| -2335 *5))))
-   (-5 *1 (-819 *4 *5 *3 *6)) (-4 *3 (-668 *5))
-   (-4 *6 (-668 (-419 *5)))))
- ((*1 *2 *3 *4)
-  (-12 (-4 *5 (-13 (-374) (-148) (-1059 (-419 (-576)))))
-   (-4 *4 (-1264 *5)) (-5 *2 (-656 (-2 (|:| -2394 *4) (|:| -2335 *4))))
-   (-5 *1 (-819 *5 *4 *3 *6)) (-4 *3 (-668 *4))
-   (-4 *6 (-668 (-419 *4)))))
+(((*1 *2 *3) (-12 (-5 *3 (-171 (-576))) (-5 *2 (-112)) (-5 *1 (-458))))
  ((*1 *2 *3)
-  (-12 (-4 *4 (-13 (-374) (-148) (-1059 (-419 (-576)))))
-   (-4 *5 (-1264 *4)) (-5 *2 (-656 (-2 (|:| -2394 *5) (|:| -2335 *5))))
-   (-5 *1 (-819 *4 *5 *6 *3)) (-4 *6 (-668 *5))
-   (-4 *3 (-668 (-419 *5)))))
- ((*1 *2 *3 *4)
-  (-12 (-4 *5 (-13 (-374) (-148) (-1059 (-419 (-576)))))
-   (-4 *4 (-1264 *5)) (-5 *2 (-656 (-2 (|:| -2394 *4) (|:| -2335 *4))))
-   (-5 *1 (-819 *5 *4 *6 *3)) (-4 *6 (-668 *4))
-   (-4 *3 (-668 (-419 *4)))))) 
-(((*1 *2 *3 *1)
-  (-12 (-4 *1 (-1092 *4 *5 *6 *3)) (-4 *4 (-464)) (-4 *5 (-805))
-   (-4 *6 (-861)) (-4 *3 (-1086 *4 *5 *6)) (-5 *2 (-112))))
- ((*1 *2 *3 *1)
-  (-12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
-   (-4 *3 (-1086 *4 *5 *6))
-   (-5 *2 (-656 (-2 (|:| |val| (-112)) (|:| -3987 *1))))
-   (-4 *1 (-1092 *4 *5 *6 *3))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-940)) (-5 *1 (-368 *3)) (-4 *3 (-360))))) 
-(((*1 *2 *3 *4 *5 *6)
-  (-12 (-5 *5 (-783)) (-5 *6 (-112)) (-4 *7 (-464)) (-4 *8 (-805))
-   (-4 *9 (-861)) (-4 *3 (-1086 *7 *8 *9))
-   (-5 *2
-    (-2 (|:| |done| (-656 *4))
-     (|:| |todo| (-656 (-2 (|:| |val| (-656 *3)) (|:| -3987 *4))))))
-   (-5 *1 (-1090 *7 *8 *9 *3 *4)) (-4 *4 (-1092 *7 *8 *9 *3))))
- ((*1 *2 *3 *4 *5)
-  (-12 (-5 *5 (-783)) (-4 *6 (-464)) (-4 *7 (-805)) (-4 *8 (-861))
-   (-4 *3 (-1086 *6 *7 *8))
-   (-5 *2
-    (-2 (|:| |done| (-656 *4))
-     (|:| |todo| (-656 (-2 (|:| |val| (-656 *3)) (|:| -3987 *4))))))
-   (-5 *1 (-1090 *6 *7 *8 *3 *4)) (-4 *4 (-1092 *6 *7 *8 *3))))
- ((*1 *2 *3 *4)
-  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
-   (-4 *3 (-1086 *5 *6 *7))
-   (-5 *2
-    (-2 (|:| |done| (-656 *4))
-     (|:| |todo| (-656 (-2 (|:| |val| (-656 *3)) (|:| -3987 *4))))))
-   (-5 *1 (-1090 *5 *6 *7 *3 *4)) (-4 *4 (-1092 *5 *6 *7 *3))))
- ((*1 *2 *3 *4 *5 *6)
-  (-12 (-5 *5 (-783)) (-5 *6 (-112)) (-4 *7 (-464)) (-4 *8 (-805))
-   (-4 *9 (-861)) (-4 *3 (-1086 *7 *8 *9))
-   (-5 *2
-    (-2 (|:| |done| (-656 *4))
-     (|:| |todo| (-656 (-2 (|:| |val| (-656 *3)) (|:| -3987 *4))))))
-   (-5 *1 (-1166 *7 *8 *9 *3 *4)) (-4 *4 (-1130 *7 *8 *9 *3))))
- ((*1 *2 *3 *4 *5)
-  (-12 (-5 *5 (-783)) (-4 *6 (-464)) (-4 *7 (-805)) (-4 *8 (-861))
-   (-4 *3 (-1086 *6 *7 *8))
-   (-5 *2
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-     (|:| |todo| (-656 (-2 (|:| |val| (-656 *3)) (|:| -3987 *4))))))
-   (-5 *1 (-1166 *6 *7 *8 *3 *4)) (-4 *4 (-1130 *6 *7 *8 *3))))
- ((*1 *2 *3 *4)
-  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
-   (-4 *3 (-1086 *5 *6 *7))
+  (-12
+   (-5 *3
+    (-516 (-419 (-576)) (-245 *5 (-783)) (-878 *4)
+     (-253 *4 (-419 (-576)))))
+   (-14 *4 (-656 (-1197))) (-14 *5 (-783)) (-5 *2 (-112))
+   (-5 *1 (-517 *4 *5))))
+ ((*1 *2 *3) (-12 (-5 *2 (-112)) (-5 *1 (-980 *3)) (-4 *3 (-557))))
+ ((*1 *2 *1) (-12 (-4 *1 (-1242)) (-5 *2 (-112))))) 
+(((*1 *2 *1 *1)
+  (-12 (-4 *1 (-1119 *3)) (-4 *3 (-1121)) (-5 *2 (-112))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *2 (-656 (-971 *4))) (-5 *3 (-656 (-1197))) (-4 *4 (-464))
+   (-5 *1 (-937 *4))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-464))
    (-5 *2
-    (-2 (|:| |done| (-656 *4))
-     (|:| |todo| (-656 (-2 (|:| |val| (-656 *3)) (|:| -3987 *4))))))
-   (-5 *1 (-1166 *5 *6 *7 *3 *4)) (-4 *4 (-1130 *5 *6 *7 *3))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-1 *6 *4 *5)) (-4 *4 (-1121)) (-4 *5 (-1121))
-   (-4 *6 (-1121)) (-5 *2 (-1 *6 *5)) (-5 *1 (-696 *4 *5 *6))))) 
+    (-656
+     (-2 (|:| |eigval| (-3 (-419 (-971 *4)) (-1186 (-1197) (-971 *4))))
+      (|:| |eigmult| (-783))
+      (|:| |eigvec| (-656 (-701 (-419 (-971 *4))))))))
+   (-5 *1 (-302 *4)) (-5 *3 (-701 (-419 (-971 *4))))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-1179)) (-5 *1 (-1219))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-1197)) (-5 *2 (-1 *7 *5 *6)) (-5 *1 (-714 *4 *5 *6 *7))
+   (-4 *4 (-626 (-548))) (-4 *5 (-1238)) (-4 *6 (-1238))
+   (-4 *7 (-1238))))) 
+(((*1 *2 *1) (|partial| -12 (-5 *2 (-1193 *1)) (-4 *1 (-1033))))) 
 (((*1 *2 *1)
-  (|partial| -12 (-5 *2 (-1197)) (-5 *1 (-624 *3)) (-4 *3 (-1121))))) 
+  (-12
+   (-5 *2
+    (-656
+     (-2 (|:| |scalar| (-419 (-576))) (|:| |coeff| (-1193 *3))
+      (|:| |logand| (-1193 *3)))))
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 (((*1 *2 *3)
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-  (-12 (-5 *4 (-1 *3 *3)) (-4 *3 (-1264 *5)) (-4 *5 (-374))
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-(((*1 *1 *1) (-5 *1 (-1084)))) 
-(((*1 *2 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-573))))) 
+  (-12
+   (-5 *3
+    (-656 (-2 (|:| -4240 (-419 (-576))) (|:| -4250 (-419 (-576))))))
+   (-5 *2 (-656 (-227))) (-5 *1 (-315))))) 
+(((*1 *1 *1 *2 *3)
+  (-12 (-5 *3 (-1 (-656 *2) *2 *2 *2)) (-4 *2 (-1121))
+   (-5 *1 (-103 *2))))
+ ((*1 *1 *1 *2 *3)
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 (((*1 *2 *3)
-  (-12 (-4 *4 (-360)) (-5 *2 (-112)) (-5 *1 (-218 *4 *3))
-   (-4 *3 (-1264 *4))))) 
+  (-12 (-4 *4 (-13 (-374) (-148) (-1059 (-419 (-576)))))
+   (-4 *5 (-1264 *4))
+   (-5 *2 (-656 (-2 (|:| |deg| (-783)) (|:| -4027 *5))))
+   (-5 *1 (-821 *4 *5 *3 *6)) (-4 *3 (-668 *5))
+   (-4 *6 (-668 (-419 *5)))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-55))))
+ ((*1 *2 *1)
+  (-12 (-4 *3 (-374)) (-4 *4 (-805)) (-4 *5 (-861)) (-5 *2 (-112))
+   (-5 *1 (-516 *3 *4 *5 *6)) (-4 *6 (-968 *3 *4 *5))))
+ ((*1 *2 *1) (-12 (-4 *1 (-734)) (-5 *2 (-112))))
+ ((*1 *2 *1) (-12 (-4 *1 (-738)) (-5 *2 (-112))))) 
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+  (-12 (-5 *4 (-1 *5 *5))
+   (-4 *5 (-13 (-374) (-10 -8 (-15 ** ($ $ (-419 (-576)))))))
+   (-5 *2
+    (-2 (|:| |solns| (-656 *5))
+     (|:| |maps| (-656 (-2 (|:| |arg| *5) (|:| |res| *5))))))
+   (-5 *1 (-1149 *3 *5)) (-4 *3 (-1264 *5))))) 
+(((*1 *2 *3 *4 *4 *4 *4 *5 *5)
+  (-12 (-5 *3 (-1 (-390) (-390))) (-5 *4 (-390))
+   (-5 *2
+    (-2 (|:| -3106 *4) (|:| -3314 *4) (|:| |totalpts| (-576))
+     (|:| |success| (-112))))
+   (-5 *1 (-801)) (-5 *5 (-576))))) 
+(((*1 *1 *1) (-12 (-5 *1 (-1224 *2)) (-4 *2 (-1121))))) 
 (((*1 *2 *3)
-  (|partial| -12 (-5 *3 (-940))
-      (-5 *2 (-1288 (-656 (-2 (|:| -3104 *4) (|:| -3223 (-1141))))))
-      (-5 *1 (-357 *4)) (-4 *4 (-360))))) 
+  (-12 (-4 *4 (-805))
+   (-4 *5 (-13 (-861) (-10 -8 (-15 -4172 ((-1197) $))))) (-4 *6 (-568))
+   (-5 *2 (-2 (|:| -2324 (-971 *6)) (|:| -2317 (-971 *6))))
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+   (-5 *2 (-1288 *6)) (-5 *1 (-347 *3 *4 *5 *6))
+   (-4 *6 (-353 *3 *4 *5))))) 
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+  (-12 (-5 *3 (-1179)) (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
+   (-4 *7 (-1086 *4 *5 *6)) (-5 *2 (-1293))
+   (-5 *1 (-1009 *4 *5 *6 *7 *8)) (-4 *8 (-1092 *4 *5 *6 *7))))
+ ((*1 *2 *3 *3 *3)
+  (-12 (-5 *3 (-1179)) (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
+   (-4 *7 (-1086 *4 *5 *6)) (-5 *2 (-1293))
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+  (-12 (-5 *3 (-576)) (-5 *5 (-701 (-227))) (-5 *4 (-227))
+   (-5 *2 (-1056)) (-5 *1 (-764))))) 
 (((*1 *2 *3)
-  (-12 (-4 *4 (-861)) (-5 *2 (-1209 (-656 *4))) (-5 *1 (-1208 *4))
-   (-5 *3 (-656 *4))))) 
-(((*1 *2 *3 *3 *4 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
-   (-5 *1 (-767))))) 
+  (-12 (-5 *3 (-3 (|:| |fst| (-446)) (|:| -2917 "void")))
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+ ((*1 *2 *3 *4)
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+   (-5 *4 (-3 (|:| |fst| (-446)) (|:| -2917 "void"))) (-5 *2 (-1293))
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+ ((*1 *2 *3 *4 *1)
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 (((*1 *2 *3)
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-(((*1 *1 *2) (-12 (-5 *2 (-656 (-876))) (-5 *1 (-876))))
- ((*1 *1 *1 *1) (-5 *1 (-876)))) 
+  (-12 (-4 *1 (-360)) (-5 *3 (-576)) (-5 *2 (-1210 (-940) (-783)))))) 
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+  (-12 (-5 *2 (-112)) (-5 *1 (-1215 *3 *4)) (-4 *3 (-1121))
+   (-4 *4 (-1121))))) 
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+ ((*1 *2 *3 *3)
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+   (-4 *5 (-1264 (-419 *4))) (-5 *2 (-112))))) 
+(((*1 *2 *2 *3)
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 (((*1 *1 *2 *2) (-12 (-4 *1 (-167 *2)) (-4 *2 (-174))))) 
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- ((*1 *2 *1 *2) (-12 (-5 *2 (-656 (-1179))) (-5 *1 (-1218))))) 
-(((*1 *1 *1) (-4 *1 (-1081)))) 
-(((*1 *2 *2) (|partial| -12 (-4 *1 (-1004 *2)) (-4 *2 (-1223))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 *5)) (-5 *4 (-940)) (-4 *5 (-861))
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-(((*1 *1 *2 *3) (-12 (-5 *2 (-518)) (-5 *3 (-1139)) (-5 *1 (-1136))))) 
+(((*1 *1 *1 *2)
+  (|partial| -12 (-5 *2 (-783)) (-4 *1 (-1264 *3)) (-4 *3 (-1070))))) 
+(((*1 *2 *1)
+  (-12 (-4 *3 (-1070)) (-5 *2 (-1288 *3)) (-5 *1 (-724 *3 *4))
+   (-4 *4 (-1264 *3))))) 
+(((*1 *2 *1 *3)
+  (-12 (-4 *1 (-874)) (-5 *2 (-703 (-130))) (-5 *3 (-130))))) 
+(((*1 *2 *2 *3 *4)
+  (|partial| -12 (-5 *4 (-1 *3)) (-4 *3 (-861)) (-4 *5 (-805))
+      (-4 *6 (-568)) (-4 *7 (-968 *6 *5 *3))
+      (-5 *1 (-474 *5 *3 *6 *7 *2))
+      (-4 *2
+       (-13 (-1059 (-419 (-576))) (-374)
+        (-10 -8 (-15 -3570 ($ *7)) (-15 -1570 (*7 $))
+         (-15 -1581 (*7 $)))))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-1013 *2)) (-4 *2 (-568)) (-5 *1 (-143 *2 *4 *3))
+   (-4 *3 (-384 *4))))
+ ((*1 *2 *3)
+  (-12 (-4 *4 (-1013 *2)) (-4 *2 (-568)) (-5 *1 (-515 *2 *4 *5 *3))
+   (-4 *5 (-384 *2)) (-4 *3 (-384 *4))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-701 *4)) (-4 *4 (-1013 *2)) (-4 *2 (-568))
+   (-5 *1 (-705 *2 *4))))
+ ((*1 *2 *3)
+  (-12 (-4 *4 (-1013 *2)) (-4 *2 (-568)) (-5 *1 (-1257 *2 *4 *3))
+   (-4 *3 (-1264 *4))))) 
 (((*1 *2 *3)
   (-12 (-4 *5 (-13 (-626 *2) (-174))) (-5 *2 (-907 *4))
    (-5 *1 (-172 *4 *5 *3)) (-4 *4 (-1121)) (-4 *3 (-167 *5))))
@@ -1229,9 +1319,9 @@
   (-12 (-5 *2 (-971 *3)) (-4 *3 (-1070)) (-4 *1 (-1086 *3 *4 *5))
    (-4 *5 (-626 (-1197))) (-4 *4 (-805)) (-4 *5 (-861))))
  ((*1 *1 *2)
-  (-2758
+  (-2760
    (-12 (-5 *2 (-971 (-576))) (-4 *1 (-1086 *3 *4 *5))
-    (-12 (-2662 (-4 *3 (-38 (-419 (-576))))) (-4 *3 (-38 (-576)))
+    (-12 (-2663 (-4 *3 (-38 (-419 (-576))))) (-4 *3 (-38 (-576)))
      (-4 *5 (-626 (-1197))))
     (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861)))
    (-12 (-5 *2 (-971 (-576))) (-4 *1 (-1086 *3 *4 *5))
@@ -1242,12 +1332,12 @@
    (-4 *3 (-38 (-419 (-576)))) (-4 *5 (-626 (-1197))) (-4 *3 (-1070))
    (-4 *4 (-805)) (-4 *5 (-861))))
  ((*1 *2 *3)
-  (-12 (-5 *3 (-2 (|:| |val| (-656 *7)) (|:| -3987 *8)))
+  (-12 (-5 *3 (-2 (|:| |val| (-656 *7)) (|:| -3988 *8)))
    (-4 *7 (-1086 *4 *5 *6)) (-4 *8 (-1092 *4 *5 *6 *7)) (-4 *4 (-464))
    (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-1179))
    (-5 *1 (-1090 *4 *5 *6 *7 *8))))
  ((*1 *2 *3)
-  (-12 (-5 *3 (-2 (|:| |val| (-656 *7)) (|:| -3987 *8)))
+  (-12 (-5 *3 (-2 (|:| |val| (-656 *7)) (|:| -3988 *8)))
    (-4 *7 (-1086 *4 *5 *6)) (-4 *8 (-1130 *4 *5 *6 *7)) (-4 *4 (-464))
    (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-1179))
    (-5 *1 (-1166 *4 *5 *6 *7 *8))))
@@ -1279,25 +1369,21 @@
    (-4 *4 (-13 (-860) (-317) (-148) (-1043))) (-14 *6 (-656 (-1197)))
    (-5 *2 (-656 (-792 *4 (-878 *6)))) (-5 *1 (-1315 *4 *5 *6))
    (-14 *5 (-656 (-1197)))))) 
-(((*1 *1 *1 *2)
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-(((*1 *2 *3) (-12 (-5 *3 (-171 (-576))) (-5 *2 (-112)) (-5 *1 (-458))))
- ((*1 *2 *3)
-  (-12
-   (-5 *3
-    (-516 (-419 (-576)) (-245 *5 (-783)) (-878 *4)
-     (-253 *4 (-419 (-576)))))
-   (-14 *4 (-656 (-1197))) (-14 *5 (-783)) (-5 *2 (-112))
-   (-5 *1 (-517 *4 *5))))
- ((*1 *2 *3) (-12 (-5 *2 (-112)) (-5 *1 (-980 *3)) (-4 *3 (-557))))
- ((*1 *2 *1) (-12 (-4 *1 (-1242)) (-5 *2 (-112))))) 
+(((*1 *1 *1) (-5 *1 (-227))) ((*1 *1 *1) (-5 *1 (-390)))
+ ((*1 *1) (-5 *1 (-390)))) 
+(((*1 *1) (-5 *1 (-158)))
+ ((*1 *2 *1) (-12 (-4 *1 (-1065 *2)) (-4 *2 (-23))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-701 (-419 (-971 (-576)))))
+   (-5 *2
+    (-656
+     (-2 (|:| |radval| (-326 (-576))) (|:| |radmult| (-576))
+      (|:| |radvect| (-656 (-701 (-326 (-576))))))))
+   (-5 *1 (-1052))))) 
 (((*1 *1) (-5 *1 (-340)))) 
-(((*1 *2 *3 *3 *4 *4)
-  (|partial| -12 (-5 *3 (-783)) (-4 *5 (-374)) (-5 *2 (-176 *6))
-      (-5 *1 (-881 *5 *4 *6)) (-4 *4 (-1279 *5)) (-4 *6 (-1264 *5))))) 
-(((*1 *2 *2)
-  (-12 (-5 *2 (-962 *3)) (-4 *3 (-13 (-374) (-1223) (-1023)))
-   (-5 *1 (-178 *3))))) 
+(((*1 *2)
+  (-12 (-4 *2 (-13 (-442 *3) (-1023))) (-5 *1 (-285 *3 *2))
+   (-4 *3 (-568))))) 
 (((*1 *2 *1 *3)
   (-12 (-5 *2 (-419 (-576))) (-5 *1 (-118 *4)) (-14 *4 *3)
    (-5 *3 (-576))))
@@ -1314,121 +1400,127 @@
    (-4 *3 (-1264 *2))))
  ((*1 *2 *1 *3)
   (-12 (-4 *1 (-1266 *2 *3)) (-4 *3 (-804))
-   (|has| *2 (-15 ** (*2 *2 *3))) (|has| *2 (-15 -3569 (*2 (-1197))))
+   (|has| *2 (-15 ** (*2 *2 *3))) (|has| *2 (-15 -3570 (*2 (-1197))))
    (-4 *2 (-1070))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-1067 *4 *5)) (-4 *4 (-13 (-860) (-317) (-148) (-1043)))
-   (-14 *5 (-656 (-1197)))
-   (-5 *2
-    (-656 (-2 (|:| -3676 (-1193 *4)) (|:| -1490 (-656 (-971 *4))))))
-   (-5 *1 (-1315 *4 *5 *6)) (-14 *6 (-656 (-1197)))))
- ((*1 *2 *3 *4 *4 *4)
-  (-12 (-5 *4 (-112)) (-4 *5 (-13 (-860) (-317) (-148) (-1043)))
-   (-5 *2
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-   (-5 *1 (-1315 *5 *6 *7)) (-5 *3 (-656 (-971 *5)))
-   (-14 *6 (-656 (-1197))) (-14 *7 (-656 (-1197)))))
- ((*1 *2 *3 *4 *4)
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-   (-5 *2
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-   (-5 *1 (-1315 *5 *6 *7)) (-5 *3 (-656 (-971 *5)))
-   (-14 *6 (-656 (-1197))) (-14 *7 (-656 (-1197)))))
- ((*1 *2 *3 *4)
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-   (-5 *1 (-1315 *5 *6 *7)) (-5 *3 (-656 (-971 *5)))
-   (-14 *6 (-656 (-1197))) (-14 *7 (-656 (-1197)))))
- ((*1 *2 *3)
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-(((*1 *2 *3 *4 *5)
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-(((*1 *1 *1 *1 *2 *3)
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-(((*1 *2 *3 *4 *4 *4 *4 *5 *5)
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-(((*1 *2)
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-   (-4 *4 (-1121))))) 
-(((*1 *1 *1) (-5 *1 (-227))) ((*1 *1 *1) (-5 *1 (-390)))
- ((*1 *1) (-5 *1 (-390)))) 
+  (-12 (-5 *3 (-656 (-576))) (-5 *2 (-576)) (-5 *1 (-498 *4))
+   (-4 *4 (-1264 *2))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-378 *3)) (-4 *3 (-174)) (-4 *3 (-568))
+   (-5 *2 (-1193 *3))))) 
+(((*1 *2 *3 *4 *4 *5 *3 *3 *4 *3 *3 *3)
+  (-12 (-5 *3 (-576)) (-5 *5 (-701 (-227))) (-5 *4 (-227))
+   (-5 *2 (-1056)) (-5 *1 (-764))))) 
+(((*1 *2 *3 *3 *4 *4 *5 *5 *3 *3 *4 *4 *5 *5 *3 *3 *4 *4 *5 *5 *3 *4 *4
+      *4 *6 *4)
+  (-12 (-5 *4 (-576)) (-5 *5 (-701 (-227))) (-5 *6 (-687 (-227)))
+   (-5 *3 (-227)) (-5 *2 (-1056)) (-5 *1 (-762))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-783)) (-5 *2 (-1 (-1178 (-971 *4)) (-1178 (-971 *4))))
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 (((*1 *2 *3)
   (-12 (-4 *4 (-1070)) (-5 *2 (-576)) (-5 *1 (-455 *4 *3 *5))
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    (-4 *5 (-13 (-416) (-1059 *4) (-374) (-1223) (-294)))))) 
+(((*1 *2) (-12 (-5 *2 (-656 (-940))) (-5 *1 (-1291))))
+ ((*1 *2 *2) (-12 (-5 *2 (-656 (-940))) (-5 *1 (-1291))))) 
+(((*1 *1 *1)
+  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
+(((*1 *2 *1 *3)
+  (|partial| -12 (-5 *3 (-907 *4)) (-4 *4 (-1121)) (-5 *2 (-112))
+      (-5 *1 (-904 *4 *5)) (-4 *5 (-1121))))
+ ((*1 *2 *3 *4)
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+   (-5 *1 (-905 *5 *3)) (-4 *3 (-1238))))
+ ((*1 *2 *3 *4)
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+   (-4 *6 (-1238)) (-5 *2 (-112)) (-5 *1 (-905 *5 *6))))) 
+(((*1 *2 *3)
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+(((*1 *2 *3)
+  (-12 (-5 *3 (-1 *6 *5)) (-4 *5 (-1121)) (-4 *6 (-1121))
+   (-5 *2 (-1 *6 *4 *5)) (-5 *1 (-696 *4 *5 *6)) (-4 *4 (-1121))))) 
+(((*1 *2 *3 *3 *2)
+  (-12 (-5 *2 (-701 (-576))) (-5 *3 (-656 (-576))) (-5 *1 (-1131))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *2 (-701 *4)) (-5 *3 (-940)) (-4 *4 (-1070))
+   (-5 *1 (-1049 *4))))
+ ((*1 *2 *2 *3)
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+(((*1 *1 *2)
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+ ((*1 *2 *3)
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+ ((*1 *2 *3 *3)
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+ ((*1 *2 *3 *3)
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+   (-4 *5 (-1264 *4)) (-5 *2 (-701 *4))))
+ ((*1 *2 *1 *3)
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+   (-4 *5 (-1264 *4)) (-5 *2 (-1288 *4))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-1288 *1)) (-4 *1 (-421 *4 *5)) (-4 *4 (-174))
+   (-4 *5 (-1264 *4)) (-5 *2 (-701 *4))))
+ ((*1 *2 *1)
+  (-12 (-4 *1 (-421 *3 *4)) (-4 *3 (-174)) (-4 *4 (-1264 *3))
+   (-5 *2 (-1288 *3))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-1288 *1)) (-4 *1 (-429 *4)) (-4 *4 (-174))
+   (-5 *2 (-701 *4))))
+ ((*1 *2 *1) (-12 (-4 *1 (-429 *3)) (-4 *3 (-174)) (-5 *2 (-1288 *3))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *4 (-656 (-701 *5))) (-5 *3 (-701 *5)) (-4 *5 (-374))
+   (-5 *2 (-1288 *5)) (-5 *1 (-1107 *5))))) 
 (((*1 *2 *3 *4)
   (-12 (-5 *3 (-1197)) (-5 *4 (-971 (-576))) (-5 *2 (-340))
    (-5 *1 (-342))))) 
-(((*1 *2 *1 *1)
-  (-12 (-5 *2 (-2 (|:| -3498 (-794 *3)) (|:| |coef1| (-794 *3))))
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- ((*1 *2 *1 *1)
-  (-12 (-4 *3 (-568)) (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861))
-   (-5 *2 (-2 (|:| -3498 *1) (|:| |coef1| *1)))
-   (-4 *1 (-1086 *3 *4 *5))))) 
-(((*1 *2 *1)
-  (-12
-   (-5 *2
-    (-1288
-     (-2 (|:| |scaleX| (-227)) (|:| |scaleY| (-227))
-      (|:| |deltaX| (-227)) (|:| |deltaY| (-227)) (|:| -3791 (-576))
-      (|:| -1888 (-576)) (|:| |spline| (-576)) (|:| -3449 (-576))
-      (|:| |axesColor| (-888)) (|:| -2326 (-576))
-      (|:| |unitsColor| (-888)) (|:| |showing| (-576)))))
-   (-5 *1 (-1289))))) 
-(((*1 *1 *1 *2)
-  (-12 (-5 *2 (-783)) (-4 *1 (-1264 *3)) (-4 *3 (-1070))))
- ((*1 *1 *1 *2)
-  (-12 (-5 *2 (-940)) (-4 *1 (-1266 *3 *4)) (-4 *3 (-1070))
-   (-4 *4 (-804))))
- ((*1 *1 *1 *2)
-  (-12 (-5 *2 (-419 (-576))) (-4 *1 (-1269 *3)) (-4 *3 (-1070))))) 
-(((*1 *1) (-5 *1 (-590)))) 
-(((*1 *2)
-  (-12 (-4 *3 (-568)) (-5 *2 (-656 (-701 *3))) (-5 *1 (-43 *3 *4))
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-(((*1 *2 *3 *4)
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-(((*1 *2 *1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-1233 *3)) (-4 *3 (-995))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-834))))) 
 (((*1 *2 *2 *3)
   (-12 (-5 *2 (-1197)) (-5 *3 (-656 (-548))) (-5 *1 (-548))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-656 (-971 (-576)))) (-5 *1 (-449))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-1197)) (-5 *4 (-701 (-227))) (-5 *2 (-1125))
-   (-5 *1 (-771))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-1197)) (-5 *4 (-701 (-576))) (-5 *2 (-1125))
-   (-5 *1 (-771))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-173))))) 
-(((*1 *1 *1 *2) (-12 (-5 *2 (-656 (-1202))) (-5 *1 (-1202))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-518)) (-5 *3 (-656 (-1202))) (-5 *1 (-1202))))) 
+(((*1 *2 *3 *1)
+  (-12 (-4 *1 (-1092 *4 *5 *6 *3)) (-4 *4 (-464)) (-4 *5 (-805))
+   (-4 *6 (-861)) (-4 *3 (-1086 *4 *5 *6)) (-5 *2 (-112))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-962 *2)) (-5 *1 (-1003 *2)) (-4 *2 (-1070))))) 
+  (-12
+   (-5 *3
+    (-2 (|:| -2012 (-390)) (|:| -2629 (-1179))
+     (|:| |explanations| (-656 (-1179)))))
+   (-5 *2 (-1056)) (-5 *1 (-315))))
+ ((*1 *2 *3)
+  (-12
+   (-5 *3
+    (-2 (|:| -2012 (-390)) (|:| -2629 (-1179))
+     (|:| |explanations| (-656 (-1179))) (|:| |extra| (-1056))))
+   (-5 *2 (-1056)) (-5 *1 (-315))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-656 (-1197))) (-5 *2 (-1293)) (-5 *1 (-1240))))
+ ((*1 *2 *3 *3)
+  (-12 (-5 *3 (-656 (-1197))) (-5 *2 (-1293)) (-5 *1 (-1240))))) 
 (((*1 *2 *1)
-  (-12 (-5 *2 (-783)) (-5 *1 (-1185 *3 *4)) (-14 *3 (-940))
-   (-4 *4 (-1070))))) 
-(((*1 *2 *3 *3 *3 *4 *5 *3 *6 *6 *3)
-  (-12 (-5 *3 (-576)) (-5 *5 (-112)) (-5 *6 (-701 (-227)))
-   (-5 *4 (-227)) (-5 *2 (-1056)) (-5 *1 (-767))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-390)) (-5 *1 (-1290))))
- ((*1 *2) (-12 (-5 *2 (-390)) (-5 *1 (-1290))))) 
+  (-12 (-4 *1 (-346 *3 *4 *5 *6)) (-4 *3 (-374)) (-4 *4 (-1264 *3))
+   (-4 *5 (-1264 (-419 *4))) (-4 *6 (-353 *3 *4 *5))
+   (-5 *2 (-425 *4 (-419 *4) *5 *6))))
+ ((*1 *1 *2)
+  (-12 (-5 *2 (-1288 *6)) (-4 *6 (-13 (-421 *4 *5) (-1059 *4)))
+   (-4 *4 (-1013 *3)) (-4 *5 (-1264 *4)) (-4 *3 (-317))
+   (-5 *1 (-425 *3 *4 *5 *6))))
+ ((*1 *1 *2)
+  (-12 (-5 *2 (-656 *6)) (-4 *6 (-968 *3 *4 *5)) (-4 *3 (-374))
+   (-4 *4 (-805)) (-4 *5 (-861)) (-5 *1 (-516 *3 *4 *5 *6))))) 
+(((*1 *2) (-12 (-5 *2 (-1293)) (-5 *1 (-457 *3)) (-4 *3 (-1070))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-518)) (-5 *2 (-703 (-189))) (-5 *1 (-189))))) 
+(((*1 *2 *3 *4)
+  (-12 (-4 *5 (-374)) (-4 *7 (-1264 *5)) (-4 *4 (-736 *5 *7))
+   (-5 *2 (-2 (|:| -2590 (-701 *6)) (|:| |vec| (-1288 *5))))
+   (-5 *1 (-823 *5 *6 *7 *4 *3)) (-4 *6 (-668 *5)) (-4 *3 (-668 *4))))) 
 (((*1 *1 *2 *2 *3)
   (-12 (-5 *2 (-783)) (-4 *3 (-1238)) (-4 *1 (-57 *3 *4 *5))
    (-4 *4 (-384 *3)) (-4 *5 (-384 *3))))
@@ -1446,33 +1538,44 @@
  ((*1 *1) (-12 (-5 *1 (-1185 *2 *3)) (-14 *2 (-940)) (-4 *3 (-1070))))
  ((*1 *1 *1) (-5 *1 (-1197))) ((*1 *1) (-5 *1 (-1197)))
  ((*1 *1) (-5 *1 (-1218)))) 
-(((*1 *1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-390)) (-5 *1 (-1084))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-13 (-568) (-1059 (-576)))) (-5 *2 (-171 (-326 *4)))
-   (-5 *1 (-190 *4 *3)) (-4 *3 (-13 (-27) (-1223) (-442 (-171 *4))))))
+(((*1 *2 *1 *1)
+  (-12 (-5 *2 (-2 (|:| -3498 (-794 *3)) (|:| |coef1| (-794 *3))))
+   (-5 *1 (-794 *3)) (-4 *3 (-568)) (-4 *3 (-1070))))
+ ((*1 *2 *1 *1)
+  (-12 (-4 *3 (-568)) (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861))
+   (-5 *2 (-2 (|:| -3498 *1) (|:| |coef1| *1)))
+   (-4 *1 (-1086 *3 *4 *5))))) 
+(((*1 *1 *2 *3 *4)
+  (-12 (-5 *2 (-597)) (-5 *3 (-609)) (-5 *4 (-301)) (-5 *1 (-290))))) 
+(((*1 *1) (-5 *1 (-145)))
  ((*1 *2 *3)
-  (-12 (-4 *4 (-13 (-464) (-1059 (-576)) (-651 (-576))))
-   (-5 *2 (-171 *3)) (-5 *1 (-1227 *4 *3))
-   (-4 *3 (-13 (-27) (-1223) (-442 *4)))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-1155 *3)) (-4 *3 (-1070)) (-5 *2 (-112))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-576))) (-5 *2 (-923 (-576))) (-5 *1 (-936))))
- ((*1 *2 *3) (-12 (-5 *3 (-992)) (-5 *2 (-923 (-576))) (-5 *1 (-936))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-783)) (-5 *2 (-1293)) (-5 *1 (-390))))) 
-(((*1 *1) (-12 (-5 *1 (-656 *2)) (-4 *2 (-1238))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-112)) (-5 *1 (-841))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
-(((*1 *2 *1 *2) (-12 (-5 *2 (-1141)) (-5 *1 (-541))))) 
+  (-12 (-5 *3 (-656 (-270))) (-5 *2 (-1154 (-227))) (-5 *1 (-268))))
+ ((*1 *1 *2) (-12 (-5 *2 (-1154 (-227))) (-5 *1 (-270))))) 
+(((*1 *1 *1 *2)
+  (-12 (-5 *2 (-1 *4 *4)) (-4 *4 (-660 *3)) (-4 *3 (-1070))
+   (-5 *1 (-726 *3 *4))))
+ ((*1 *1 *1 *2)
+  (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1070)) (-5 *1 (-848 *3))))) 
 (((*1 *2 *1)
-  (-12 (-5 *2 (-419 (-971 *3))) (-5 *1 (-465 *3 *4 *5 *6))
-   (-4 *3 (-568)) (-4 *3 (-174)) (-14 *4 (-940))
-   (-14 *5 (-656 (-1197))) (-14 *6 (-1288 (-701 *3)))))) 
+  (-12 (-4 *1 (-260 *3 *4 *5 *6)) (-4 *3 (-1070)) (-4 *4 (-861))
+   (-4 *5 (-275 *4)) (-4 *6 (-805)) (-5 *2 (-112))))) 
+(((*1 *1) (-12 (-5 *1 (-656 *2)) (-4 *2 (-1238))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-537))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-940)) (-5 *2 (-1199 (-419 (-576)))) (-5 *1 (-192))))
- ((*1 *2 *1)
-  (-12 (-5 *2 (-1288 (-3 (-480) "undefined"))) (-5 *1 (-1289))))) 
+  (-12 (-5 *3 (-1179))
+   (-4 *4 (-13 (-464) (-1059 (-576)) (-651 (-576)))) (-5 *2 (-112))
+   (-5 *1 (-226 *4 *5)) (-4 *5 (-13 (-1223) (-29 *4)))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-940)) (-5 *2 (-1288 (-1288 (-576)))) (-5 *1 (-478))))) 
+(((*1 *2 *3)
+  (-12 (-5 *2 (-1 (-962 *3) (-962 *3))) (-5 *1 (-178 *3))
+   (-4 *3 (-13 (-374) (-1223) (-1023)))))) 
+(((*1 *2 *1 *1 *3)
+  (-12 (-4 *4 (-1070)) (-4 *5 (-805)) (-4 *3 (-861))
+   (-5 *2 (-2 (|:| -2715 *1) (|:| -3624 *1))) (-4 *1 (-968 *4 *5 *3))))
+ ((*1 *2 *1 *1)
+  (-12 (-4 *3 (-1070)) (-5 *2 (-2 (|:| -2715 *1) (|:| -3624 *1)))
+   (-4 *1 (-1264 *3))))) 
 (((*1 *1 *2)
   (-12 (-5 *2 (-783)) (-5 *1 (-50 *3 *4)) (-4 *3 (-1070))
    (-14 *4 (-656 (-1197)))))
@@ -1489,49 +1592,51 @@
    (-4 *5 (-174))))
  ((*1 *1) (-12 (-4 *2 (-174)) (-4 *1 (-736 *2 *3)) (-4 *3 (-1264 *2))))) 
 (((*1 *1 *2)
-  (-12 (-5 *2 (-656 (-2 (|:| -4300 *3) (|:| -4438 *4))))
+  (-12 (-5 *2 (-656 (-2 (|:| -4301 *3) (|:| -4440 *4))))
    (-4 *3 (-1121)) (-4 *4 (-1121)) (-4 *1 (-1214 *3 *4))))
  ((*1 *1) (-12 (-4 *1 (-1214 *2 *3)) (-4 *2 (-1121)) (-4 *3 (-1121))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-656 (-887 (-940) (-940)))) (-5 *1 (-992))))) 
-(((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-945))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-1163 *4 *2)) (-14 *4 (-940))
-   (-4 *2 (-13 (-1070) (-10 -7 (-6 (-4466 "*")))))
-   (-5 *1 (-921 *4 *2))))) 
-(((*1 *1 *1 *2) (-12 (-5 *2 (-656 (-876))) (-5 *1 (-876))))) 
+(((*1 *2 *1)
+  (-12
+   (-5 *2
+    (-1288
+     (-2 (|:| |scaleX| (-227)) (|:| |scaleY| (-227))
+      (|:| |deltaX| (-227)) (|:| |deltaY| (-227)) (|:| -1793 (-576))
+      (|:| -3774 (-576)) (|:| |spline| (-576)) (|:| -1542 (-576))
+      (|:| |axesColor| (-888)) (|:| -2328 (-576))
+      (|:| |unitsColor| (-888)) (|:| |showing| (-576)))))
+   (-5 *1 (-1289))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-576)) (-5 *1 (-876))))) 
+(((*1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-479))))
+ ((*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-479))))) 
 (((*1 *2 *3)
-  (|partial| -12 (-5 *3 (-971 *4)) (-4 *4 (-1070)) (-4 *4 (-626 *2))
-      (-5 *2 (-390)) (-5 *1 (-797 *4))))
- ((*1 *2 *3 *4)
-  (|partial| -12 (-5 *3 (-971 *5)) (-5 *4 (-940)) (-4 *5 (-1070))
-      (-4 *5 (-626 *2)) (-5 *2 (-390)) (-5 *1 (-797 *5))))
- ((*1 *2 *3)
-  (|partial| -12 (-5 *3 (-419 (-971 *4))) (-4 *4 (-568))
-      (-4 *4 (-626 *2)) (-5 *2 (-390)) (-5 *1 (-797 *4))))
- ((*1 *2 *3 *4)
-  (|partial| -12 (-5 *3 (-419 (-971 *5))) (-5 *4 (-940)) (-4 *5 (-568))
-      (-4 *5 (-626 *2)) (-5 *2 (-390)) (-5 *1 (-797 *5))))
- ((*1 *2 *3)
-  (|partial| -12 (-5 *3 (-326 *4)) (-4 *4 (-568)) (-4 *4 (-861))
-      (-4 *4 (-626 *2)) (-5 *2 (-390)) (-5 *1 (-797 *4))))
- ((*1 *2 *3 *4)
-  (|partial| -12 (-5 *3 (-326 *5)) (-5 *4 (-940)) (-4 *5 (-568))
-      (-4 *5 (-861)) (-4 *5 (-626 *2)) (-5 *2 (-390))
-      (-5 *1 (-797 *5))))) 
-(((*1 *2 *3 *2 *2)
-  (-12 (-5 *2 (-656 (-493 *4 *5))) (-5 *3 (-878 *4))
-   (-14 *4 (-656 (-1197))) (-4 *5 (-464)) (-5 *1 (-643 *4 *5))))) 
-(((*1 *2)
-  (-12 (-4 *1 (-353 *3 *4 *5)) (-4 *3 (-1242)) (-4 *4 (-1264 *3))
-   (-4 *5 (-1264 (-419 *4))) (-5 *2 (-701 (-419 *4)))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-419 (-576))) (-5 *4 (-576)) (-5 *2 (-52))
-   (-5 *1 (-1026))))) 
-(((*1 *1 *2) (-12 (-5 *1 (-229 *2)) (-4 *2 (-13 (-374) (-1223)))))) 
-(((*1 *2 *2)
-  (|partial| -12 (-4 *3 (-568)) (-4 *3 (-174)) (-4 *4 (-384 *3))
-      (-4 *5 (-384 *3)) (-5 *1 (-700 *3 *4 *5 *2))
-      (-4 *2 (-699 *3 *4 *5))))) 
+  (-12 (-5 *3 (-971 *4)) (-4 *4 (-13 (-317) (-148)))
+   (-4 *2 (-968 *4 *6 *5)) (-5 *1 (-943 *4 *5 *6 *2))
+   (-4 *5 (-13 (-861) (-626 (-1197)))) (-4 *6 (-805))))) 
+(((*1 *2 *2 *2 *2 *2)
+  (-12 (-4 *2 (-13 (-374) (-10 -8 (-15 ** ($ $ (-419 (-576)))))))
+   (-5 *1 (-1149 *3 *2)) (-4 *3 (-1264 *2))))) 
+(((*1 *2 *3 *2)
+  (-12 (-5 *3 (-1 (-112) *4 *4)) (-4 *4 (-1238)) (-5 *1 (-386 *4 *2))
+   (-4 *2 (-13 (-384 *4) (-10 -7 (-6 -4466))))))) 
+(((*1 *1 *1 *1)
+  (-12 (|has| *1 (-6 -4466)) (-4 *1 (-120 *2)) (-4 *2 (-1238))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-946))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-1288 *3)) (-4 *3 (-374)) (-4 *1 (-339 *3))))
+ ((*1 *1 *2 *3)
+  (-12 (-5 *2 (-1288 *3)) (-4 *3 (-1264 *4)) (-4 *4 (-1242))
+   (-4 *1 (-353 *4 *3 *5)) (-4 *5 (-1264 (-419 *3)))))
+ ((*1 *1 *2 *3)
+  (-12 (-5 *2 (-1288 *4)) (-5 *3 (-1288 *1)) (-4 *4 (-174))
+   (-4 *1 (-378 *4))))
+ ((*1 *1 *2 *3)
+  (-12 (-5 *2 (-1288 *4)) (-5 *3 (-1288 *1)) (-4 *4 (-174))
+   (-4 *1 (-381 *4 *5)) (-4 *5 (-1264 *4))))
+ ((*1 *1 *2)
+  (-12 (-5 *2 (-1288 *3)) (-4 *3 (-174)) (-4 *1 (-421 *3 *4))
+   (-4 *4 (-1264 *3))))
+ ((*1 *1 *2) (-12 (-5 *2 (-1288 *3)) (-4 *3 (-174)) (-4 *1 (-429 *3))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-1013 *2)) (-4 *2 (-568)) (-4 *2 (-557))))
+ ((*1 *1 *1) (-4 *1 (-1081)))) 
 (((*1 *1 *2 *1)
   (-12 (-5 *2 (-1 *3 *3)) (-4 *1 (-47 *3 *4)) (-4 *3 (-1070))
    (-4 *4 (-804))))
@@ -1638,9 +1743,9 @@
    (-4 *6 (-374)) (-5 *2 (-598 *6)) (-5 *1 (-596 *5 *6))))
  ((*1 *2 *3 *4)
   (|partial| -12 (-5 *3 (-1 *6 *5))
-      (-5 *4 (-3 (-2 (|:| -4106 *5) (|:| |coeff| *5)) "failed"))
+      (-5 *4 (-3 (-2 (|:| -1698 *5) (|:| |coeff| *5)) "failed"))
       (-4 *5 (-374)) (-4 *6 (-374))
-      (-5 *2 (-2 (|:| -4106 *6) (|:| |coeff| *6)))
+      (-5 *2 (-2 (|:| -1698 *6) (|:| |coeff| *6)))
       (-5 *1 (-596 *5 *6))))
  ((*1 *2 *3 *4)
   (|partial| -12 (-5 *3 (-1 *2 *5)) (-5 *4 (-3 *5 "failed"))
@@ -1759,7 +1864,7 @@
    (-4 *8 (-1070)) (-4 *6 (-805))
    (-4 *2
     (-13 (-1121)
-     (-10 -8 (-15 -3029 ($ $ $)) (-15 * ($ $ $)) (-15 ** ($ $ (-783))))))
+     (-10 -8 (-15 -3030 ($ $ $)) (-15 * ($ $ $)) (-15 ** ($ $ (-783))))))
    (-5 *1 (-970 *6 *7 *8 *5 *2)) (-4 *5 (-968 *8 *6 *7))))
  ((*1 *2 *3 *4)
   (-12 (-5 *3 (-1 *6 *5)) (-5 *4 (-977 *5)) (-4 *5 (-1238))
@@ -1775,8 +1880,8 @@
    (-4 *2 (-968 (-971 *4) *5 *6)) (-4 *5 (-805))
    (-4 *6
     (-13 (-861)
-     (-10 -8 (-15 -4171 ((-1197) $))
-      (-15 -3054 ((-3 $ "failed") (-1197))))))
+     (-10 -8 (-15 -4172 ((-1197) $))
+      (-15 -3055 ((-3 $ "failed") (-1197))))))
    (-5 *1 (-1005 *4 *5 *6 *2))))
  ((*1 *2 *3 *4)
   (-12 (-5 *3 (-1 *6 *5)) (-4 *5 (-568)) (-4 *6 (-568))
@@ -1863,35 +1968,38 @@
  ((*1 *1 *2 *1)
   (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1070)) (-5 *1 (-1311 *3 *4))
    (-4 *4 (-858))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-656 *5)) (-4 *5 (-442 *4)) (-4 *4 (-568))
-   (-5 *2 (-876)) (-5 *1 (-32 *4 *5))))) 
-(((*1 *1)
-  (|partial| -12 (-4 *1 (-378 *2)) (-4 *2 (-568)) (-4 *2 (-174))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-340))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-656 *4)) (-4 *4 (-861)) (-5 *2 (-656 (-676 *4 *5)))
-   (-5 *1 (-639 *4 *5 *6)) (-4 *5 (-13 (-174) (-729 (-419 (-576)))))
-   (-14 *6 (-940))))) 
-(((*1 *2 *3 *3 *4 *5 *3 *3 *4 *4 *4 *6)
-  (-12 (-5 *4 (-576)) (-5 *5 (-701 (-227)))
-   (-5 *6 (-3 (|:| |fn| (-400)) (|:| |fp| (-64 -1959)))) (-5 *3 (-227))
-   (-5 *2 (-1056)) (-5 *1 (-760))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-167 *2)) (-4 *2 (-174)) (-4 *2 (-1223))))
- ((*1 *2 *1) (-12 (-5 *1 (-341 *2)) (-4 *2 (-861))))
- ((*1 *2 *1) (-12 (-5 *2 (-656 *3)) (-5 *1 (-624 *3)) (-4 *3 (-1121))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-518)) (-5 *1 (-343))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-1242)) (-4 *5 (-1264 *4))
-   (-5 *2 (-2 (|:| -1714 (-419 *5)) (|:| |poly| *3)))
-   (-5 *1 (-149 *4 *5 *3)) (-4 *3 (-1264 (-419 *5)))))) 
-(((*1 *2 *1 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-1290))))) 
-(((*1 *2 *1) (-12 (-5 *1 (-598 *2)) (-4 *2 (-374))))) 
-(((*1 *1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-158))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-962 *2)) (-5 *1 (-1003 *2)) (-4 *2 (-1070))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-656 *2)) (-5 *1 (-498 *2)) (-4 *2 (-1264 (-576)))))) 
+(((*1 *1 *1 *2)
+  (-12 (-5 *2 (-783)) (-4 *1 (-1264 *3)) (-4 *3 (-1070))))
+ ((*1 *1 *1 *2)
+  (-12 (-5 *2 (-940)) (-4 *1 (-1266 *3 *4)) (-4 *3 (-1070))
+   (-4 *4 (-804))))
+ ((*1 *1 *1 *2)
+  (-12 (-5 *2 (-419 (-576))) (-4 *1 (-1269 *3)) (-4 *3 (-1070))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-1155 *3)) (-4 *3 (-1070)) (-5 *2 (-112))))) 
+(((*1 *2 *3 *3 *4 *4 *4 *4 *3)
+  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
+   (-5 *1 (-764))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-1056))))) 
+(((*1 *1 *1 *2 *2)
+  (-12 (-5 *2 (-576)) (-4 *1 (-699 *3 *4 *5)) (-4 *3 (-1070))
+   (-4 *4 (-384 *3)) (-4 *5 (-384 *3))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-1193 *5)) (-4 *5 (-464)) (-5 *2 (-656 *6))
+   (-5 *1 (-550 *5 *6 *4)) (-4 *6 (-374)) (-4 *4 (-13 (-374) (-860)))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-971 *5)) (-4 *5 (-464)) (-5 *2 (-656 *6))
+   (-5 *1 (-550 *5 *6 *4)) (-4 *6 (-374)) (-4 *4 (-13 (-374) (-860)))))) 
+(((*1 *2) (-12 (-5 *2 (-923 (-576))) (-5 *1 (-936))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-2 (|:| |preimage| (-656 *3)) (|:| |image| (-656 *3))))
+   (-5 *1 (-924 *3)) (-4 *3 (-1121))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-573))))) 
+(((*1 *1) (-5 *1 (-590)))) 
+(((*1 *2 *1 *3 *3)
+  (-12 (-5 *3 (-576)) (-5 *2 (-1293)) (-5 *1 (-1290))))
+ ((*1 *2 *1 *3 *3)
+  (-12 (-5 *3 (-390)) (-5 *2 (-1293)) (-5 *1 (-1290))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-576)) (-5 *2 (-1293)) (-5 *1 (-1027))))) 
 (((*1 *1 *2)
   (-12 (-5 *2 (-656 (-576))) (-5 *1 (-50 *3 *4)) (-4 *3 (-1070))
    (-14 *4 (-656 (-1197)))))
@@ -1924,84 +2032,104 @@
  ((*1 *1 *1 *2)
   (-12 (-5 *2 (-783)) (-5 *1 (-1308 *3 *4))
    (-4 *4 (-729 (-419 (-576)))) (-4 *3 (-861)) (-4 *4 (-174))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-876)) (-5 *2 (-1293)) (-5 *1 (-1159))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-656 (-876))) (-5 *2 (-1293)) (-5 *1 (-1159))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-443 *3 *2)) (-4 *2 (-442 *3))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-1 (-112) *6)) (-4 *6 (-13 (-1121) (-1059 *5)))
-   (-4 *5 (-901 *4)) (-4 *4 (-1121)) (-5 *2 (-1 (-112) *5))
-   (-5 *1 (-950 *4 *5 *6))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-1155 *3)) (-4 *3 (-1070)) (-5 *2 (-112))))) 
-(((*1 *1 *1 *2 *2 *2 *2)
-  (-12 (-5 *2 (-576)) (-4 *1 (-699 *3 *4 *5)) (-4 *3 (-1070))
-   (-4 *4 (-384 *3)) (-4 *5 (-384 *3))))) 
-(((*1 *2 *1)
-  (-12 (-4 *1 (-566 *3)) (-4 *3 (-13 (-416) (-1223))) (-5 *2 (-112))))
- ((*1 *2 *1) (-12 (-4 *1 (-860)) (-5 *2 (-112))))
- ((*1 *2 *3 *1)
-  (-12 (-4 *1 (-1089 *4 *3)) (-4 *4 (-13 (-860) (-374)))
-   (-4 *3 (-1264 *4)) (-5 *2 (-112))))) 
+  (-12 (-5 *3 (-1288 *1)) (-4 *1 (-381 *4 *5)) (-4 *4 (-174))
+   (-4 *5 (-1264 *4)) (-5 *2 (-701 *4))))
+ ((*1 *2)
+  (-12 (-4 *4 (-174)) (-4 *5 (-1264 *4)) (-5 *2 (-701 *4))
+   (-5 *1 (-420 *3 *4 *5)) (-4 *3 (-421 *4 *5))))
+ ((*1 *2)
+  (-12 (-4 *1 (-421 *3 *4)) (-4 *3 (-174)) (-4 *4 (-1264 *3))
+   (-5 *2 (-701 *3))))) 
+(((*1 *2 *3)
+  (-12 (-4 *1 (-928)) (-5 *2 (-430 (-1193 *1))) (-5 *3 (-1193 *1))))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 (-855 (-227)))) (-5 *4 (-227)) (-5 *2 (-656 *4))
-   (-5 *1 (-276))))) 
-(((*1 *2 *2 *3 *4)
-  (-12 (-5 *2 (-656 *8)) (-5 *3 (-1 (-112) *8 *8))
-   (-5 *4 (-1 *8 *8 *8)) (-4 *8 (-1086 *5 *6 *7)) (-4 *5 (-568))
-   (-4 *6 (-805)) (-4 *7 (-861)) (-5 *1 (-998 *5 *6 *7 *8))))) 
-(((*1 *2 *2 *2)
-  (-12 (-5 *2 (-701 *3))
-   (-4 *3 (-13 (-317) (-10 -8 (-15 -1770 ((-430 $) $)))))
-   (-4 *4 (-1264 *3)) (-5 *1 (-511 *3 *4 *5)) (-4 *5 (-421 *3 *4))))
- ((*1 *2 *2 *2 *3)
-  (-12 (-5 *2 (-701 *3))
-   (-4 *3 (-13 (-317) (-10 -8 (-15 -1770 ((-430 $) $)))))
-   (-4 *4 (-1264 *3)) (-5 *1 (-511 *3 *4 *5)) (-4 *5 (-421 *3 *4))))) 
+  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-946))
+   (-5 *2
+    (-2 (|:| |brans| (-656 (-656 (-962 (-227)))))
+     (|:| |xValues| (-1115 (-227))) (|:| |yValues| (-1115 (-227)))))
+   (-5 *1 (-154))))
+ ((*1 *2 *3 *4 *4)
+  (-12 (-5 *3 (-946)) (-5 *4 (-419 (-576)))
+   (-5 *2
+    (-2 (|:| |brans| (-656 (-656 (-962 (-227)))))
+     (|:| |xValues| (-1115 (-227))) (|:| |yValues| (-1115 (-227)))))
+   (-5 *1 (-154))))
+ ((*1 *2 *3)
+  (-12
+   (-5 *2
+    (-2 (|:| |brans| (-656 (-656 (-962 (-227)))))
+     (|:| |xValues| (-1115 (-227))) (|:| |yValues| (-1115 (-227)))))
+   (-5 *1 (-154)) (-5 *3 (-656 (-962 (-227))))))
+ ((*1 *2 *3)
+  (-12
+   (-5 *2
+    (-2 (|:| |brans| (-656 (-656 (-962 (-227)))))
+     (|:| |xValues| (-1115 (-227))) (|:| |yValues| (-1115 (-227)))))
+   (-5 *1 (-154)) (-5 *3 (-656 (-656 (-962 (-227)))))))
+ ((*1 *1 *2) (-12 (-5 *2 (-656 (-1115 (-390)))) (-5 *1 (-270))))
+ ((*1 *1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-270))))) 
+(((*1 *2)
+  (-12 (-4 *3 (-568)) (-5 *2 (-656 (-701 *3))) (-5 *1 (-43 *3 *4))
+   (-4 *4 (-429 *3))))) 
+(((*1 *2 *3)
+  (-12
+   (-5 *3
+    (-516 (-419 (-576)) (-245 *5 (-783)) (-878 *4)
+     (-253 *4 (-419 (-576)))))
+   (-14 *4 (-656 (-1197))) (-14 *5 (-783)) (-5 *2 (-112))
+   (-5 *1 (-517 *4 *5))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-145))))) 
 (((*1 *2 *2)
-  (-12 (-4 *3 (-317)) (-4 *4 (-384 *3)) (-4 *5 (-384 *3))
-   (-5 *1 (-1145 *3 *4 *5 *2)) (-4 *2 (-699 *3 *4 *5))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-301)) (-5 *1 (-290))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-701 *5)) (-5 *4 (-1288 *5)) (-4 *5 (-374))
-   (-5 *2 (-112)) (-5 *1 (-679 *5))))
- ((*1 *2 *3 *4)
-  (-12 (-4 *5 (-374)) (-4 *6 (-13 (-384 *5) (-10 -7 (-6 -4465))))
-   (-4 *4 (-13 (-384 *5) (-10 -7 (-6 -4465)))) (-5 *2 (-112))
-   (-5 *1 (-680 *5 *6 *4 *3)) (-4 *3 (-699 *5 *6 *4))))) 
+  (-12 (-5 *2 (-656 *7)) (-4 *7 (-1092 *3 *4 *5 *6)) (-4 *3 (-464))
+   (-4 *4 (-805)) (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5))
+   (-5 *1 (-1009 *3 *4 *5 *6 *7))))
+ ((*1 *2 *2)
+  (-12 (-5 *2 (-656 *7)) (-4 *7 (-1092 *3 *4 *5 *6)) (-4 *3 (-464))
+   (-4 *4 (-805)) (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5))
+   (-5 *1 (-1128 *3 *4 *5 *6 *7))))) 
+(((*1 *2 *1 *3)
+  (-12 (-5 *3 (-576)) (-4 *1 (-57 *4 *2 *5)) (-4 *4 (-1238))
+   (-4 *5 (-384 *4)) (-4 *2 (-384 *4))))
+ ((*1 *2 *1 *3)
+  (-12 (-5 *3 (-576)) (-4 *1 (-1074 *4 *5 *6 *2 *7)) (-4 *6 (-1070))
+   (-4 *7 (-243 *4 *6)) (-4 *2 (-243 *5 *6))))) 
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+  (-12 (-4 *3 (-464)) (-4 *4 (-805)) (-4 *5 (-861))
+   (-4 *6 (-1086 *3 *4 *5)) (-5 *2 (-1293))
+   (-5 *1 (-1009 *3 *4 *5 *6 *7)) (-4 *7 (-1092 *3 *4 *5 *6))))
+ ((*1 *2)
+  (-12 (-4 *3 (-464)) (-4 *4 (-805)) (-4 *5 (-861))
+   (-4 *6 (-1086 *3 *4 *5)) (-5 *2 (-1293))
+   (-5 *1 (-1128 *3 *4 *5 *6 *7)) (-4 *7 (-1092 *3 *4 *5 *6))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-360)) (-5 *2 (-112))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-1193 *4)) (-4 *4 (-360)) (-5 *2 (-112))
+   (-5 *1 (-368 *4))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-326 (-227))) (-5 *1 (-212))))) 
 (((*1 *2 *3 *4)
   (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-576)) (-4 *4 (-805)) (-4 *5 (-861)) (-4 *2 (-1070))
+   (-5 *1 (-331 *4 *5 *2 *6)) (-4 *6 (-968 *2 *4 *5))))) 
 (((*1 *2 *3 *4)
-  (|partial| -12 (-5 *3 (-1 (-3 *5 "failed") *7)) (-5 *4 (-1193 *7))
-      (-4 *5 (-1070)) (-4 *7 (-1070)) (-4 *2 (-1264 *5))
-      (-5 *1 (-513 *5 *2 *6 *7)) (-4 *6 (-1264 *2))))) 
+  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
+   (-4 *3 (-1086 *5 *6 *7))
+   (-5 *2 (-656 (-2 (|:| |val| (-112)) (|:| -3988 *4))))
+   (-5 *1 (-788 *5 *6 *7 *3 *4)) (-4 *4 (-1092 *5 *6 *7 *3))))) 
 (((*1 *1 *1)
-  (-12 (-4 *1 (-1086 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-805))
-   (-4 *4 (-861))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-1179)) (-5 *2 (-656 (-703 (-290)))) (-5 *1 (-169))))) 
-(((*1 *1) (-5 *1 (-301)))) 
-(((*1 *2 *3 *3 *3 *4 *5 *5 *6)
-  (-12 (-5 *3 (-1 (-227) (-227) (-227)))
-   (-5 *4 (-3 (-1 (-227) (-227) (-227) (-227)) "undefined"))
-   (-5 *5 (-1115 (-227))) (-5 *6 (-656 (-270))) (-5 *2 (-1154 (-227)))
-   (-5 *1 (-709))))
- ((*1 *2 *3 *4 *4 *5)
-  (-12 (-5 *3 (-1 (-962 (-227)) (-227) (-227))) (-5 *4 (-1115 (-227)))
-   (-5 *5 (-656 (-270))) (-5 *2 (-1154 (-227))) (-5 *1 (-709))))
- ((*1 *2 *2 *3 *4 *4 *5)
-  (-12 (-5 *2 (-1154 (-227))) (-5 *3 (-1 (-962 (-227)) (-227) (-227)))
-   (-5 *4 (-1115 (-227))) (-5 *5 (-656 (-270))) (-5 *1 (-709))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-971 (-227))) (-5 *2 (-326 (-390))) (-5 *1 (-315))))) 
-(((*1 *2 *3 *3 *3)
-  (-12 (-5 *3 (-1179)) (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
-   (-4 *7 (-1086 *4 *5 *6)) (-5 *2 (-1293))
-   (-5 *1 (-1093 *4 *5 *6 *7 *8)) (-4 *8 (-1092 *4 *5 *6 *7))))
- ((*1 *2 *3 *3 *3)
-  (-12 (-5 *3 (-1179)) (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
-   (-4 *7 (-1086 *4 *5 *6)) (-5 *2 (-1293))
-   (-5 *1 (-1129 *4 *5 *6 *7 *8)) (-4 *8 (-1092 *4 *5 *6 *7))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-2 (|:| |den| (-576)) (|:| |gcdnum| (-576)))))
-   (-4 *4 (-1264 (-419 *2))) (-5 *2 (-576)) (-5 *1 (-932 *4 *5))
-   (-4 *5 (-1264 (-419 *4)))))) 
-(((*1 *1 *1 *1) (-5 *1 (-876)))) 
+  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
+(((*1 *2)
+  (-12 (-4 *2 (-13 (-442 *3) (-1023))) (-5 *1 (-285 *3 *2))
+   (-4 *3 (-568))))) 
 (((*1 *1 *1) (-4 *1 (-35)))
  ((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
@@ -2018,49 +2146,44 @@
  ((*1 *2 *2)
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))) 
-(((*1 *2 *2)
-  (-12 (-5 *2 (-1178 *3)) (-4 *3 (-1070)) (-5 *1 (-1181 *3))))
- ((*1 *1 *1)
-  (-12 (-5 *1 (-1280 *2 *3 *4)) (-4 *2 (-1070)) (-14 *3 (-1197))
-   (-14 *4 *2)))) 
-(((*1 *1 *1 *2)
-  (-12 (-4 *1 (-997 *3 *4 *2 *5)) (-4 *3 (-1070)) (-4 *4 (-805))
-   (-4 *2 (-861)) (-4 *5 (-1086 *3 *4 *2))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
-(((*1 *2 *3 *4 *4 *5)
-  (-12 (-5 *4 (-624 *3)) (-5 *5 (-1 (-1193 *3) (-1193 *3)))
-   (-4 *3 (-13 (-27) (-442 *6))) (-4 *6 (-568)) (-5 *2 (-598 *3))
-   (-5 *1 (-563 *6 *3))))) 
-(((*1 *1 *2 *3) (-12 (-5 *2 (-1193 *1)) (-5 *3 (-1197)) (-4 *1 (-27))))
- ((*1 *1 *2) (-12 (-5 *2 (-1193 *1)) (-4 *1 (-27))))
- ((*1 *1 *2) (-12 (-5 *2 (-971 *1)) (-4 *1 (-27))))
- ((*1 *1 *1 *2) (-12 (-5 *2 (-1197)) (-4 *1 (-29 *3)) (-4 *3 (-568))))
- ((*1 *1 *1) (-12 (-4 *1 (-29 *2)) (-4 *2 (-568))))
+(((*1 *1 *1)
+  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
+(((*1 *2) (-12 (-5 *2 (-1293)) (-5 *1 (-97))))) 
+(((*1 *2 *3 *3)
+  (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-1215 *4 *5))
+   (-4 *4 (-1121)) (-4 *5 (-1121))))) 
+(((*1 *2 *3 *4 *5 *5)
+  (-12 (-5 *4 (-112)) (-5 *5 (-576)) (-4 *6 (-374)) (-4 *6 (-379))
+   (-4 *6 (-1070)) (-5 *2 (-656 (-656 (-701 *6)))) (-5 *1 (-1050 *6))
+   (-5 *3 (-656 (-701 *6)))))
+ ((*1 *2 *3)
+  (-12 (-4 *4 (-374)) (-4 *4 (-379)) (-4 *4 (-1070))
+   (-5 *2 (-656 (-656 (-701 *4)))) (-5 *1 (-1050 *4))
+   (-5 *3 (-656 (-701 *4)))))
  ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-1193 *2)) (-5 *4 (-1197)) (-4 *2 (-442 *5))
-   (-5 *1 (-32 *5 *2)) (-4 *5 (-568))))
- ((*1 *1 *2 *3)
-  (|partial| -12 (-5 *2 (-1193 *1)) (-5 *3 (-940)) (-4 *1 (-1033))))
- ((*1 *1 *2 *3 *4)
-  (|partial| -12 (-5 *2 (-1193 *1)) (-5 *3 (-940)) (-5 *4 (-876))
-      (-4 *1 (-1033))))
- ((*1 *1 *2 *3)
-  (|partial| -12 (-5 *3 (-940)) (-4 *4 (-13 (-860) (-374)))
-      (-4 *1 (-1089 *4 *2)) (-4 *2 (-1264 *4))))) 
-(((*1 *2 *3 *2)
-  (-12 (-5 *3 (-1 (-112) *4 *4)) (-4 *4 (-1238)) (-5 *1 (-386 *4 *2))
-   (-4 *2 (-13 (-384 *4) (-10 -7 (-6 -4465))))))) 
-(((*1 *1 *1 *2)
-  (-12 (-5 *2 (-576)) (|has| *1 (-6 -4465)) (-4 *1 (-1276 *3))
-   (-4 *3 (-1238))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1238))))) 
-(((*1 *2)
-  (-12 (-4 *3 (-1070)) (-5 *2 (-977 (-724 *3 *4))) (-5 *1 (-724 *3 *4))
-   (-4 *4 (-1264 *3))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-686 *3)) (-4 *3 (-1238)) (-5 *2 (-783))))) 
-(((*1 *2 *1 *3 *4)
-  (-12 (-5 *3 (-480)) (-5 *4 (-940)) (-5 *2 (-1293)) (-5 *1 (-1289))))) 
+  (-12 (-5 *4 (-112)) (-4 *5 (-374)) (-4 *5 (-379)) (-4 *5 (-1070))
+   (-5 *2 (-656 (-656 (-701 *5)))) (-5 *1 (-1050 *5))
+   (-5 *3 (-656 (-701 *5)))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *4 (-940)) (-4 *5 (-374)) (-4 *5 (-379)) (-4 *5 (-1070))
+   (-5 *2 (-656 (-656 (-701 *5)))) (-5 *1 (-1050 *5))
+   (-5 *3 (-656 (-701 *5)))))) 
+(((*1 *1 *1 *1 *2)
+  (-12 (-5 *2 (-783)) (-4 *1 (-1086 *3 *4 *5)) (-4 *3 (-1070))
+   (-4 *4 (-805)) (-4 *5 (-861)) (-4 *3 (-568))))) 
+(((*1 *2 *1 *3) (-12 (-5 *3 (-1197)) (-5 *2 (-1293)) (-5 *1 (-834))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-946))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-529))))) 
+(((*1 *2) (-12 (-5 *2 (-390)) (-5 *1 (-1061))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-1115 (-855 (-227)))) (-5 *2 (-227)) (-5 *1 (-194))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-1115 (-855 (-227)))) (-5 *2 (-227)) (-5 *1 (-310))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-1115 (-855 (-227)))) (-5 *2 (-227)) (-5 *1 (-315))))) 
+(((*1 *2 *1 *3)
+  (-12 (-5 *3 (-576)) (-5 *2 (-3 "nil" "sqfr" "irred" "prime"))
+   (-5 *1 (-430 *4)) (-4 *4 (-568))))) 
 (((*1 *1 *1) (-4 *1 (-35)))
  ((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
@@ -2077,84 +2200,27 @@
  ((*1 *2 *2)
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))) 
-(((*1 *2 *3 *3)
-  (-12 (-4 *4 (-568)) (-5 *2 (-2 (|:| |coef2| *3) (|:| -4004 *4)))
-   (-5 *1 (-990 *4 *3)) (-4 *3 (-1264 *4))))) 
-(((*1 *1 *2)
-  (-12 (-5 *2 (-326 *3)) (-4 *3 (-13 (-1070) (-861)))
-   (-5 *1 (-225 *3 *4)) (-14 *4 (-656 (-1197)))))) 
-(((*1 *2) (-12 (-5 *2 (-1293)) (-5 *1 (-1200))))
- ((*1 *2 *3) (-12 (-5 *3 (-1197)) (-5 *2 (-1293)) (-5 *1 (-1200))))
- ((*1 *2 *3 *1) (-12 (-5 *3 (-1197)) (-5 *2 (-1293)) (-5 *1 (-1200))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-1193 *5)) (-4 *5 (-374)) (-5 *2 (-656 *6))
-   (-5 *1 (-544 *5 *6 *4)) (-4 *6 (-374)) (-4 *4 (-13 (-374) (-860)))))) 
-(((*1 *2 *1 *3) (-12 (-5 *3 (-940)) (-5 *2 (-480)) (-5 *1 (-1289))))) 
-(((*1 *2 *3)
-  (-12 (-5 *2 (-430 *3)) (-5 *1 (-39 *3)) (-4 *3 (-1264 (-48)))))
- ((*1 *2 *3 *1)
-  (-12 (-5 *2 (-2 (|:| |less| (-122 *3)) (|:| |greater| (-122 *3))))
-   (-5 *1 (-122 *3)) (-4 *3 (-861))))
- ((*1 *2 *2)
-  (-12 (-5 *2 (-598 *4)) (-4 *4 (-13 (-29 *3) (-1223)))
-   (-4 *3 (-13 (-464) (-1059 (-576)) (-651 (-576))))
-   (-5 *1 (-595 *3 *4))))
- ((*1 *2 *2)
-  (-12 (-5 *2 (-598 (-419 (-971 *3))))
-   (-4 *3 (-13 (-464) (-1059 (-576)) (-651 (-576)))) (-5 *1 (-601 *3))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *4 (-1 *3 *3)) (-4 *3 (-1264 *5)) (-4 *5 (-374))
-   (-5 *2 (-2 (|:| -3014 *3) (|:| |special| *3))) (-5 *1 (-739 *5 *3))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *4 (-1288 *5)) (-4 *5 (-374)) (-4 *5 (-1070))
-   (-5 *2 (-656 (-656 (-701 *5)))) (-5 *1 (-1050 *5))
-   (-5 *3 (-656 (-701 *5)))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *4 (-1288 (-1288 *5))) (-4 *5 (-374)) (-4 *5 (-1070))
-   (-5 *2 (-656 (-656 (-701 *5)))) (-5 *1 (-1050 *5))
-   (-5 *3 (-656 (-701 *5)))))
- ((*1 *2 *1 *3) (-12 (-5 *3 (-142)) (-5 *2 (-656 *1)) (-4 *1 (-1165))))
- ((*1 *2 *1 *3) (-12 (-5 *3 (-145)) (-5 *2 (-656 *1)) (-4 *1 (-1165))))) 
+(((*1 *1 *1)
+  (-12 (-5 *1 (-1161 *2 *3)) (-4 *2 (-13 (-1121) (-34)))
+   (-4 *3 (-13 (-1121) (-34)))))) 
+(((*1 *2 *3 *2)
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+ ((*1 *2 *3 *2) (-12 (-5 *3 (-115)) (-5 *1 (-848 *2)) (-4 *2 (-1070))))) 
+(((*1 *1 *1)
+  (-12 (-4 *1 (-1086 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-805))
+   (-4 *4 (-861)) (-4 *2 (-464))))) 
 (((*1 *2 *1)
-  (|partial| -12 (-4 *3 (-13 (-1059 (-576)) (-651 (-576)) (-464)))
-      (-5 *2 (-855 *4)) (-5 *1 (-323 *3 *4 *5 *6))
-      (-4 *4 (-13 (-27) (-1223) (-442 *3))) (-14 *5 (-1197))
-      (-14 *6 *4)))
- ((*1 *2 *1)
-  (|partial| -12 (-4 *3 (-13 (-1059 (-576)) (-651 (-576)) (-464)))
-      (-5 *2 (-855 *4)) (-5 *1 (-1274 *3 *4 *5 *6))
-      (-4 *4 (-13 (-27) (-1223) (-442 *3))) (-14 *5 (-1197))
-      (-14 *6 *4)))) 
+  (-12 (-5 *2 (-656 (-304 *3))) (-5 *1 (-304 *3)) (-4 *3 (-568))
+   (-4 *3 (-1238))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-115)) (-4 *4 (-568)) (-5 *2 (-112)) (-5 *1 (-32 *4 *5))
-   (-4 *5 (-442 *4))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-115)) (-4 *4 (-568)) (-5 *2 (-112))
-   (-5 *1 (-159 *4 *5)) (-4 *5 (-442 *4))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-115)) (-4 *4 (-568)) (-5 *2 (-112))
-   (-5 *1 (-285 *4 *5)) (-4 *5 (-13 (-442 *4) (-1023)))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-115)) (-5 *2 (-112)) (-5 *1 (-311 *4)) (-4 *4 (-312))))
- ((*1 *2 *3) (-12 (-4 *1 (-312)) (-5 *3 (-115)) (-5 *2 (-112))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-115)) (-4 *5 (-1121)) (-5 *2 (-112))
-   (-5 *1 (-441 *4 *5)) (-4 *4 (-442 *5))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-115)) (-4 *4 (-568)) (-5 *2 (-112))
-   (-5 *1 (-443 *4 *5)) (-4 *5 (-442 *4))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-115)) (-4 *4 (-568)) (-5 *2 (-112))
-   (-5 *1 (-642 *4 *5)) (-4 *5 (-13 (-442 *4) (-1023) (-1223)))))) 
-(((*1 *2 *3 *3 *3 *4 *5)
-  (-12 (-5 *5 (-1 *3 *3)) (-4 *3 (-1264 *6))
-   (-4 *6 (-13 (-374) (-148) (-1059 *4))) (-5 *4 (-576))
-   (-5 *2
-    (-3 (|:| |ans| (-2 (|:| |ans| *3) (|:| |nosol| (-112))))
-     (|:| -4026
-          (-2 (|:| |b| *3) (|:| |c| *3) (|:| |m| *4) (|:| |alpha| *3)
-           (|:| |beta| *3)))))
-   (-5 *1 (-1036 *6 *3))))) 
+  (-12 (-5 *2 (-1178 (-656 (-576)))) (-5 *1 (-898)) (-5 *3 (-576))))) 
+(((*1 *2 *1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-1233 *3)) (-4 *3 (-995))))) 
+(((*1 *1 *1 *1) (-4 *1 (-773)))) 
+(((*1 *2 *2 *3 *3)
+  (-12 (-5 *2 (-1288 *4)) (-5 *3 (-1141)) (-4 *4 (-360))
+   (-5 *1 (-540 *4))))) 
+(((*1 *2 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-492))))) 
 (((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
    (-4 *2 (-13 (-442 *3) (-1023)))))
@@ -2171,42 +2237,66 @@
  ((*1 *2 *2)
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))) 
-(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *5 *4 *6 *7)
-  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *5 (-1179))
-   (-5 *6 (-3 (|:| |fn| (-400)) (|:| |fp| (-82 PDEF))))
-   (-5 *7 (-3 (|:| |fn| (-400)) (|:| |fp| (-83 BNDY)))) (-5 *2 (-1056))
-   (-5 *1 (-762))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-1288 *1)) (-5 *4 (-1 *5 *5)) (-4 *5 (-374))
-   (-4 *1 (-736 *5 *6)) (-4 *5 (-174)) (-4 *6 (-1264 *5))
-   (-5 *2 (-701 *5))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
-(((*1 *2 *3 *3 *3 *4 *4 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
-   (-5 *1 (-767))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-940)) (-5 *1 (-1291))))
- ((*1 *2) (-12 (-5 *2 (-940)) (-5 *1 (-1291))))) 
-(((*1 *2 *2 *3)
-  (-12 (-5 *2 (-656 *3)) (-4 *3 (-317)) (-5 *1 (-181 *3))))) 
-(((*1 *1 *1 *2)
-  (|partial| -12 (-5 *2 (-940)) (-5 *1 (-1122 *3 *4)) (-14 *3 *2)
-      (-14 *4 *2)))) 
-(((*1 *2 *3 *4)
-  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
-   (-4 *3 (-1086 *5 *6 *7)) (-5 *2 (-112))
-   (-5 *1 (-1129 *5 *6 *7 *3 *4)) (-4 *4 (-1092 *5 *6 *7 *3))))
- ((*1 *2 *3 *4)
-  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
-   (-4 *3 (-1086 *5 *6 *7))
-   (-5 *2 (-656 (-2 (|:| |val| (-112)) (|:| -3987 *4))))
-   (-5 *1 (-1129 *5 *6 *7 *3 *4)) (-4 *4 (-1092 *5 *6 *7 *3))))) 
+(((*1 *2)
+  (-12 (-5 *2 (-2 (|:| -3848 (-656 *3)) (|:| -2319 (-656 *3))))
+   (-5 *1 (-1239 *3)) (-4 *3 (-1121))))) 
 (((*1 *2 *2)
-  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
-   (-4 *2 (-13 (-442 *3) (-1023)))))) 
-(((*1 *2 *3 *4 *3 *4 *4 *4)
-  (-12 (-5 *3 (-701 (-227))) (-5 *4 (-576)) (-5 *2 (-1056))
-   (-5 *1 (-768))))) 
+  (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1223)))))) 
+(((*1 *2 *3 *3 *3 *4 *3)
+  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-171 (-227)))) (-5 *2 (-1056))
+   (-5 *1 (-766))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-656 (-227))) (-5 *2 (-1288 (-711))) (-5 *1 (-315))))) 
+(((*1 *1) (-5 *1 (-142))) ((*1 *1 *1) (-5 *1 (-145)))
+ ((*1 *1 *1) (-4 *1 (-1165)))) 
+(((*1 *2 *1 *1) (-12 (-4 *1 (-102)) (-5 *2 (-112))))) 
+(((*1 *2 *3)
+  (|partial| -12 (-5 *3 (-347 *5 *6 *7 *8)) (-4 *5 (-442 *4))
+      (-4 *6 (-1264 *5)) (-4 *7 (-1264 (-419 *6)))
+      (-4 *8 (-353 *5 *6 *7)) (-4 *4 (-13 (-568) (-1059 (-576))))
+      (-5 *2 (-2 (|:| -3917 (-783)) (|:| -3341 *8)))
+      (-5 *1 (-930 *4 *5 *6 *7 *8))))
+ ((*1 *2 *3)
+  (|partial| -12 (-5 *3 (-347 (-419 (-576)) *4 *5 *6))
+      (-4 *4 (-1264 (-419 (-576)))) (-4 *5 (-1264 (-419 *4)))
+      (-4 *6 (-353 (-419 (-576)) *4 *5))
+      (-5 *2 (-2 (|:| -3917 (-783)) (|:| -3341 *6)))
+      (-5 *1 (-931 *4 *5 *6))))) 
+(((*1 *2 *2 *2)
+  (-12
+   (-5 *2
+    (-2 (|:| -1593 (-701 *3)) (|:| |basisDen| *3)
+     (|:| |basisInv| (-701 *3))))
+   (-4 *3 (-13 (-317) (-10 -8 (-15 -3921 ((-430 $) $)))))
+   (-4 *4 (-1264 *3)) (-5 *1 (-511 *3 *4 *5)) (-4 *5 (-421 *3 *4))))) 
+(((*1 *2 *3)
+  (-12
+   (-5 *3
+    (-2
+     (|:| |endPointContinuity|
+          (-3 (|:| |continuous| "Continuous at the end points")
+           (|:| |lowerSingular|
+                "There is a singularity at the lower end point")
+           (|:| |upperSingular|
+                "There is a singularity at the upper end point")
+           (|:| |bothSingular|
+                "There are singularities at both end points")
+           (|:| |notEvaluated|
+                "End point continuity not yet evaluated")))
+     (|:| |singularitiesStream|
+          (-3 (|:| |str| (-1178 (-227)))
+           (|:| |notEvaluated|
+                "Internal singularities not yet evaluated")))
+     (|:| -2951
+          (-3 (|:| |finite| "The range is finite")
+           (|:| |lowerInfinite| "The bottom of range is infinite")
+           (|:| |upperInfinite| "The top of range is infinite")
+           (|:| |bothInfinite|
+                "Both top and bottom points are infinite")
+           (|:| |notEvaluated| "Range not yet evaluated")))))
+   (-5 *2 (-1056)) (-5 *1 (-315))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-834))))) 
 (((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
    (-4 *2 (-13 (-442 *3) (-1023)))))
@@ -2223,35 +2313,24 @@
  ((*1 *2 *2)
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))) 
-(((*1 *1 *1) (-4 *1 (-1081)))
- ((*1 *1 *1 *2 *2)
-  (-12 (-4 *1 (-1266 *3 *2)) (-4 *3 (-1070)) (-4 *2 (-804))))
+(((*1 *2 *3 *3)
+  (-12 (-4 *4 (-568)) (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-656 *3))
+   (-5 *1 (-998 *4 *5 *6 *3)) (-4 *3 (-1086 *4 *5 *6))))) 
+(((*1 *2 *3 *4 *3 *3 *4 *4 *4 *5)
+  (-12 (-5 *3 (-227)) (-5 *4 (-576))
+   (-5 *5 (-3 (|:| |fn| (-400)) (|:| |fp| (-64 -1962))))
+   (-5 *2 (-1056)) (-5 *1 (-760))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-686 *3)) (-4 *3 (-1238)) (-5 *2 (-112))))) 
+(((*1 *1 *1 *2)
+  (-12 (-4 *1 (-57 *2 *3 *4)) (-4 *2 (-1238)) (-4 *3 (-384 *2))
+   (-4 *4 (-384 *2))))
  ((*1 *1 *1 *2)
-  (-12 (-4 *1 (-1266 *3 *2)) (-4 *3 (-1070)) (-4 *2 (-804))))) 
-(((*1 *2 *1 *1 *3)
-  (-12 (-4 *4 (-1070)) (-4 *5 (-805)) (-4 *3 (-861))
-   (-5 *2 (-2 (|:| -1714 *1) (|:| |gap| (-783)) (|:| -3599 *1)))
-   (-4 *1 (-1086 *4 *5 *3))))
- ((*1 *2 *1 *1)
-  (-12 (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861))
-   (-5 *2 (-2 (|:| -1714 *1) (|:| |gap| (-783)) (|:| -3599 *1)))
-   (-4 *1 (-1086 *3 *4 *5))))) 
-(((*1 *1 *1 *2) (-12 (-5 *2 (-783)) (-5 *1 (-876))))
- ((*1 *1 *1) (-5 *1 (-876)))) 
-(((*1 *2 *1) (|partial| -12 (-5 *2 (-518)) (-5 *1 (-289))))
- ((*1 *2 *1)
-  (-12 (-5 *2 (-3 (-576) (-227) (-518) (-1179) (-1202)))
-   (-5 *1 (-1202))))) 
-(((*1 *2 *1 *1)
-  (-12 (-5 *2 (-2 (|:| -3498 (-794 *3)) (|:| |coef2| (-794 *3))))
-   (-5 *1 (-794 *3)) (-4 *3 (-568)) (-4 *3 (-1070))))
- ((*1 *2 *1 *1)
-  (-12 (-4 *3 (-568)) (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861))
-   (-5 *2 (-2 (|:| -3498 *1) (|:| |coef2| *1)))
-   (-4 *1 (-1086 *3 *4 *5))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-568)) (-5 *2 (-1288 (-701 *4))) (-5 *1 (-90 *4 *5))
-   (-5 *3 (-701 *4)) (-4 *5 (-668 *4))))) 
+  (-12 (|has| *1 (-6 -4466)) (-4 *1 (-616 *3 *2)) (-4 *3 (-1121))
+   (-4 *2 (-1238))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-847 *3)) (-4 *3 (-1121)) (-5 *2 (-55))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *3 (-656 *2)) (-4 *2 (-968 *4 *5 *6)) (-4 *4 (-464))
+   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *1 (-461 *4 *5 *6 *2))))) 
 (((*1 *2 *3)
   (-12 (-5 *2 (-171 (-390))) (-5 *1 (-797 *3)) (-4 *3 (-626 (-390)))))
  ((*1 *2 *3 *4)
@@ -2300,20 +2379,15 @@
   (-12 (-5 *3 (-326 (-171 *5))) (-5 *4 (-940)) (-4 *5 (-568))
    (-4 *5 (-861)) (-4 *5 (-626 (-390))) (-5 *2 (-171 (-390)))
    (-5 *1 (-797 *5))))) 
-(((*1 *2 *3)
-  (-12 (-4 *1 (-353 *4 *3 *5)) (-4 *4 (-1242)) (-4 *3 (-1264 *4))
-   (-4 *5 (-1264 (-419 *3))) (-5 *2 (-112))))
- ((*1 *2 *3)
-  (-12 (-4 *1 (-353 *3 *4 *5)) (-4 *3 (-1242)) (-4 *4 (-1264 *3))
-   (-4 *5 (-1264 (-419 *4))) (-5 *2 (-112))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-1056))))) 
-(((*1 *2 *3 *4 *5)
-  (-12 (-5 *4 (-783)) (-5 *5 (-656 *3)) (-4 *3 (-317)) (-4 *6 (-861))
-   (-4 *7 (-805)) (-5 *2 (-112)) (-5 *1 (-637 *6 *7 *3 *8))
-   (-4 *8 (-968 *3 *7 *6))))) 
-(((*1 *2 *1)
-  (-12 (-5 *2 (-656 (-962 *4))) (-5 *1 (-1185 *3 *4)) (-14 *3 (-940))
-   (-4 *4 (-1070))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *4 (-1 *2 *2)) (-4 *5 (-374)) (-4 *6 (-1264 (-419 *2)))
+   (-4 *2 (-1264 *5)) (-5 *1 (-217 *5 *2 *6 *3))
+   (-4 *3 (-353 *5 *2 *6))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-289))))) 
+(((*1 *2 *1 *1) (-12 (-4 *1 (-34)) (-5 *2 (-112))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-171 (-227))) (-5 *4 (-576)) (-5 *2 (-1056))
+   (-5 *1 (-770))))) 
 (((*1 *2 *3 *4 *2)
   (-12 (-5 *3 (-1 *2 *2)) (-5 *4 (-783)) (-4 *2 (-1121))
    (-5 *1 (-690 *2))))) 
@@ -2334,32 +2408,52 @@
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))) 
 (((*1 *2) (-12 (-5 *2 (-656 *3)) (-5 *1 (-1105 *3)) (-4 *3 (-133))))) 
+(((*1 *2 *1 *1 *3)
+  (-12 (-5 *3 (-1 (-112) *5 *5)) (-4 *5 (-13 (-1121) (-34)))
+   (-5 *2 (-112)) (-5 *1 (-1161 *4 *5)) (-4 *4 (-13 (-1121) (-34)))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-1179)) (-5 *2 (-656 (-1202))) (-5 *1 (-895))))) 
-(((*1 *1 *1 *1) (-12 (-4 *1 (-866 *2)) (-4 *2 (-1070)) (-4 *2 (-374))))) 
-(((*1 *2 *3 *3 *4 *5 *3 *6)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *5 (-227))
-   (-5 *6 (-3 (|:| |fn| (-400)) (|:| |fp| (-81 FCN)))) (-5 *2 (-1056))
-   (-5 *1 (-758))))) 
-(((*1 *2 *2 *3)
-  (|partial| -12 (-5 *2 (-656 (-1193 *4))) (-5 *3 (-1193 *4))
-      (-4 *4 (-928)) (-5 *1 (-675 *4))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-907 *3)) (-4 *3 (-1121))))) 
-(((*1 *2 *3 *4 *3 *4 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
-   (-5 *1 (-768))))) 
-(((*1 *2 *3)
-  (-12 (-5 *2 (-1178 (-576))) (-5 *1 (-1181 *4)) (-4 *4 (-1070))
-   (-5 *3 (-576))))) 
+  (-12 (-5 *3 (-1288 *1)) (-4 *1 (-378 *4)) (-4 *4 (-174))
+   (-5 *2 (-656 (-971 *4)))))
+ ((*1 *2)
+  (-12 (-4 *4 (-174)) (-5 *2 (-656 (-971 *4))) (-5 *1 (-428 *3 *4))
+   (-4 *3 (-429 *4))))
+ ((*1 *2)
+  (-12 (-4 *1 (-429 *3)) (-4 *3 (-174)) (-5 *2 (-656 (-971 *3)))))
+ ((*1 *2)
+  (-12 (-5 *2 (-656 (-971 *3))) (-5 *1 (-465 *3 *4 *5 *6))
+   (-4 *3 (-568)) (-4 *3 (-174)) (-14 *4 (-940))
+   (-14 *5 (-656 (-1197))) (-14 *6 (-1288 (-701 *3)))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-1288 (-465 *4 *5 *6 *7))) (-5 *2 (-656 (-971 *4)))
+   (-5 *1 (-465 *4 *5 *6 *7)) (-4 *4 (-568)) (-4 *4 (-174))
+   (-14 *5 (-940)) (-14 *6 (-656 (-1197))) (-14 *7 (-1288 (-701 *4)))))) 
+(((*1 *2 *1) (|partial| -12 (-5 *2 (-1125)) (-5 *1 (-289))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-145))))) 
+(((*1 *2) (-12 (-5 *2 (-783)) (-5 *1 (-457 *3)) (-4 *3 (-1070))))) 
+(((*1 *2 *1 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-1290))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 *8)) (-5 *4 (-656 *9)) (-4 *8 (-1086 *5 *6 *7))
+   (-4 *9 (-1092 *5 *6 *7 *8)) (-4 *5 (-464)) (-4 *6 (-805))
+   (-4 *7 (-861)) (-5 *2 (-783)) (-5 *1 (-1090 *5 *6 *7 *8 *9))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 *8)) (-5 *4 (-656 *9)) (-4 *8 (-1086 *5 *6 *7))
+   (-4 *9 (-1130 *5 *6 *7 *8)) (-4 *5 (-464)) (-4 *6 (-805))
+   (-4 *7 (-861)) (-5 *2 (-783)) (-5 *1 (-1166 *5 *6 *7 *8 *9))))) 
 (((*1 *2 *1)
-  (-12 (-4 *1 (-616 *2 *3)) (-4 *3 (-1238)) (-4 *2 (-1121))
-   (-4 *2 (-861))))) 
+  (-12 (-4 *3 (-238)) (-4 *3 (-1070)) (-4 *4 (-861)) (-4 *5 (-275 *4))
+   (-4 *6 (-805)) (-5 *2 (-1 *1 (-783))) (-4 *1 (-260 *3 *4 *5 *6))))
+ ((*1 *2 *3)
+  (-12 (-4 *4 (-1070)) (-4 *3 (-861)) (-4 *5 (-275 *3)) (-4 *6 (-805))
+   (-5 *2 (-1 *1 (-783))) (-4 *1 (-260 *4 *3 *5 *6))))
+ ((*1 *1 *2 *3) (-12 (-5 *3 (-783)) (-4 *1 (-275 *2)) (-4 *2 (-861))))) 
 (((*1 *2 *1 *1) (-12 (-5 *2 (-112)) (-5 *1 (-1095))))
  ((*1 *2 *1 *1)
   (-12 (-4 *1 (-1124 *3 *4 *5 *6 *7)) (-4 *3 (-1121)) (-4 *4 (-1121))
    (-4 *5 (-1121)) (-4 *6 (-1121)) (-4 *7 (-1121)) (-5 *2 (-112))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-997 *3 *4 *5 *6)) (-4 *3 (-1070)) (-4 *4 (-805))
+   (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5)) (-4 *3 (-568))
+   (-5 *2 (-112))))) 
 (((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
    (-4 *2 (-13 (-442 *3) (-1023)))))
@@ -2380,41 +2474,29 @@
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))) 
 (((*1 *2 *1) (-12 (-5 *2 (-786)) (-5 *1 (-52))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-836))))) 
+(((*1 *1 *1) (-12 (-4 *1 (-437 *2)) (-4 *2 (-1121)) (-4 *2 (-379))))) 
+(((*1 *1)
+  (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23))
+   (-14 *4 *3)))) 
+(((*1 *2 *1)
+  (-12 (-4 *3 (-13 (-374) (-148)))
+   (-5 *2 (-656 (-2 (|:| -3422 (-783)) (|:| -2396 *4) (|:| |num| *4))))
+   (-5 *1 (-411 *3 *4)) (-4 *4 (-1264 *3))))) 
+(((*1 *2)
+  (-12
+   (-5 *2 (-2 (|:| -2319 (-656 (-1197))) (|:| -3848 (-656 (-1197)))))
+   (-5 *1 (-1240))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-922 *3)) (-4 *3 (-1121)) (-5 *2 (-1123 *3))))
+ ((*1 *2 *1)
+  (-12 (-5 *2 (-1123 *3)) (-5 *1 (-923 *3)) (-4 *3 (-1121))))) 
+(((*1 *1 *1 *2) (-12 (-5 *2 (-940)) (-4 *1 (-756 *3)) (-4 *3 (-174))))) 
+(((*1 *2 *1 *1) (-12 (-4 *1 (-317)) (-5 *2 (-112))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-971 (-576))) (-5 *2 (-656 *1)) (-4 *1 (-1033))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-971 (-419 (-576)))) (-5 *2 (-656 *1)) (-4 *1 (-1033))))
- ((*1 *2 *3) (-12 (-5 *3 (-971 *1)) (-4 *1 (-1033)) (-5 *2 (-656 *1))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-1193 (-576))) (-5 *2 (-656 *1)) (-4 *1 (-1033))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-1193 (-419 (-576)))) (-5 *2 (-656 *1)) (-4 *1 (-1033))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-1193 *1)) (-4 *1 (-1033)) (-5 *2 (-656 *1))))
- ((*1 *2 *3)
-  (-12 (-4 *4 (-13 (-860) (-374))) (-4 *3 (-1264 *4)) (-5 *2 (-656 *1))
-   (-4 *1 (-1089 *4 *3))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 (-701 *5))) (-5 *4 (-1288 *5)) (-4 *5 (-317))
-   (-4 *5 (-1070)) (-5 *2 (-701 *5)) (-5 *1 (-1050 *5))))) 
-(((*1 *2 *1 *2 *3)
-  (|partial| -12 (-5 *2 (-1179)) (-5 *3 (-576)) (-5 *1 (-1084))))) 
-(((*1 *1 *2) (-12 (-5 *2 (-419 (-576))) (-5 *1 (-219))))) 
-(((*1 *2 *3 *1)
-  (-12 (-4 *1 (-616 *3 *4)) (-4 *3 (-1121)) (-4 *4 (-1238))
-   (-5 *2 (-112))))) 
-(((*1 *2 *3 *4 *4 *5 *4 *3 *6 *3 *4 *7 *8 *9 *10)
-  (-12 (-5 *4 (-576)) (-5 *5 (-1179)) (-5 *6 (-701 (-227)))
-   (-5 *7 (-3 (|:| |fn| (-400)) (|:| |fp| (-89 G))))
-   (-5 *8 (-3 (|:| |fn| (-400)) (|:| |fp| (-86 FCN))))
-   (-5 *9 (-3 (|:| |fn| (-400)) (|:| |fp| (-71 PEDERV))))
-   (-5 *10 (-3 (|:| |fn| (-400)) (|:| |fp| (-88 OUTPUT))))
-   (-5 *3 (-227)) (-5 *2 (-1056)) (-5 *1 (-761))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-378 *2)) (-4 *2 (-174))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-390)) (-5 *2 (-1179)) (-5 *1 (-315))))) 
-(((*1 *2 *2)
-  (-12 (-5 *2 (-656 (-493 *3 *4))) (-14 *3 (-656 (-1197)))
-   (-4 *4 (-464)) (-5 *1 (-643 *3 *4))))) 
+  (-12 (-4 *2 (-1264 *4)) (-5 *1 (-821 *4 *2 *3 *5))
+   (-4 *4 (-13 (-374) (-148) (-1059 (-419 (-576))))) (-4 *3 (-668 *2))
+   (-4 *5 (-668 (-419 *2)))))) 
 (((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
    (-4 *2 (-13 (-442 *3) (-1023)))))
@@ -2434,36 +2516,28 @@
  ((*1 *2 *2)
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))) 
-(((*1 *2 *2)
-  (-12 (-5 *2 (-1178 *3)) (-4 *3 (-1070)) (-5 *1 (-1181 *3))))
- ((*1 *1 *1)
-  (-12 (-5 *1 (-1280 *2 *3 *4)) (-4 *2 (-1070)) (-14 *3 (-1197))
-   (-14 *4 *2)))) 
-(((*1 *2 *3 *3)
-  (-12 (-5 *3 (-2 (|:| |val| (-656 *7)) (|:| -3987 *8)))
-   (-4 *7 (-1086 *4 *5 *6)) (-4 *8 (-1092 *4 *5 *6 *7)) (-4 *4 (-464))
-   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))
-   (-5 *1 (-1009 *4 *5 *6 *7 *8))))
- ((*1 *2 *3 *3)
-  (-12 (-5 *3 (-2 (|:| |val| (-656 *7)) (|:| -3987 *8)))
-   (-4 *7 (-1086 *4 *5 *6)) (-4 *8 (-1092 *4 *5 *6 *7)) (-4 *4 (-464))
-   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))
-   (-5 *1 (-1128 *4 *5 *6 *7 *8))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-576))) (-5 *2 (-923 (-576))) (-5 *1 (-936))))
- ((*1 *2) (-12 (-5 *2 (-923 (-576))) (-5 *1 (-936))))) 
-(((*1 *1 *1 *1 *1) (-4 *1 (-557)))) 
-(((*1 *1)
-  (|partial| -12 (-4 *1 (-378 *2)) (-4 *2 (-568)) (-4 *2 (-174))))) 
-(((*1 *2)
-  (-12 (-4 *3 (-568)) (-5 *2 (-656 *4)) (-5 *1 (-43 *3 *4))
-   (-4 *4 (-429 *3))))) 
 (((*1 *2 *1)
-  (-12 (-4 *1 (-699 *3 *4 *5)) (-4 *3 (-1070)) (-4 *4 (-384 *3))
-   (-4 *5 (-384 *3)) (-5 *2 (-112))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-1074 *3 *4 *5 *6 *7)) (-4 *5 (-1070))
-   (-4 *6 (-243 *4 *5)) (-4 *7 (-243 *3 *5)) (-5 *2 (-112))))) 
+  (-12 (-4 *1 (-375 *3 *4)) (-4 *3 (-1121)) (-4 *4 (-1121))
+   (-5 *2 (-1179))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-568)) (-5 *2 (-1193 *3)) (-5 *1 (-41 *4 *3))
+   (-4 *3
+    (-13 (-374) (-312)
+     (-10 -8 (-15 -1570 ((-1146 *4 (-624 $)) $))
+      (-15 -1581 ((-1146 *4 (-624 $)) $))
+      (-15 -3570 ($ (-1146 *4 (-624 $)))))))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-656 (-876))) (-5 *1 (-876))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-1 *7 *5)) (-4 *5 (-1070)) (-4 *7 (-1070))
+   (-4 *6 (-1264 *5)) (-5 *2 (-1193 (-1193 *7)))
+   (-5 *1 (-513 *5 *6 *4 *7)) (-4 *4 (-1264 *6))))) 
+(((*1 *1 *1 *1) (-12 (-5 *1 (-794 *2)) (-4 *2 (-1070))))) 
+(((*1 *2 *3 *1)
+  (-12 (-4 *1 (-622 *3 *4)) (-4 *3 (-1121)) (-4 *4 (-1121))
+   (-5 *2 (-112))))) 
+(((*1 *2 *3 *2)
+  (-12 (-5 *3 (-1193 *2)) (-4 *2 (-442 *4)) (-4 *4 (-568))
+   (-5 *1 (-32 *4 *2))))) 
 (((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
    (-4 *2 (-13 (-442 *3) (-1023)))))
@@ -2483,89 +2557,61 @@
  ((*1 *2 *2)
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))) 
-(((*1 *1 *1 *1 *2)
-  (-12 (-4 *1 (-968 *3 *4 *2)) (-4 *3 (-1070)) (-4 *4 (-805))
-   (-4 *2 (-861)) (-4 *3 (-174))))
+(((*1 *1 *1 *2) (-12 (-5 *2 (-656 (-876))) (-5 *1 (-876))))) 
+(((*1 *2) (-12 (-5 *2 (-1179)) (-5 *1 (-771))))) 
+(((*1 *2 *3 *4)
+  (-12 (-4 *5 (-1121)) (-4 *2 (-917 *5)) (-5 *1 (-704 *5 *2 *3 *4))
+   (-4 *3 (-384 *2)) (-4 *4 (-13 (-384 *5) (-10 -7 (-6 -4465))))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-699 *3 *4 *5)) (-4 *3 (-1070)) (-4 *4 (-384 *3))
+   (-4 *5 (-384 *3)) (-5 *2 (-112))))
+ ((*1 *2 *1)
+  (-12 (-4 *1 (-1074 *3 *4 *5 *6 *7)) (-4 *5 (-1070))
+   (-4 *6 (-243 *4 *5)) (-4 *7 (-243 *3 *5)) (-5 *2 (-112))))) 
+(((*1 *2 *3 *3)
+  (-12 (-5 *2 (-1193 *3)) (-5 *1 (-933 *3)) (-4 *3 (-317))))) 
+(((*1 *1 *1 *1) (-5 *1 (-227)))
+ ((*1 *2 *2 *2) (-12 (-5 *2 (-227)) (-5 *1 (-228))))
+ ((*1 *2 *2 *2) (-12 (-5 *2 (-171 (-227))) (-5 *1 (-228))))
+ ((*1 *2 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-443 *3 *2)) (-4 *2 (-442 *3))))
  ((*1 *2 *3 *3)
-  (-12 (-4 *2 (-568)) (-5 *1 (-990 *2 *3)) (-4 *3 (-1264 *2))))
- ((*1 *1 *1 *1)
-  (-12 (-4 *1 (-1086 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-805))
-   (-4 *4 (-861)) (-4 *2 (-568))))
- ((*1 *2 *1 *1)
-  (-12 (-4 *1 (-1264 *2)) (-4 *2 (-1070)) (-4 *2 (-174))))) 
+  (-12 (-5 *3 (-783)) (-5 *2 (-1 (-390))) (-5 *1 (-1061))))
+ ((*1 *1 *1 *1) (-4 *1 (-1160)))) 
+(((*1 *2 *3 *4)
+  (-12 (-4 *5 (-568))
+   (-5 *2 (-2 (|:| -2590 (-701 *5)) (|:| |vec| (-1288 (-656 (-940))))))
+   (-5 *1 (-90 *5 *3)) (-5 *4 (-940)) (-4 *3 (-668 *5))))) 
+(((*1 *2)
+  (-12 (-4 *4 (-174)) (-5 *2 (-112)) (-5 *1 (-377 *3 *4))
+   (-4 *3 (-378 *4))))
+ ((*1 *2) (-12 (-4 *1 (-378 *3)) (-4 *3 (-174)) (-5 *2 (-112))))) 
 (((*1 *2 *2)
-  (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2))
-   (-4 *2 (-13 (-442 *3) (-1223)))))) 
-(((*1 *1 *1 *2) (-12 (-5 *2 (-656 (-876))) (-5 *1 (-876))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-1288 *1)) (-4 *1 (-378 *4)) (-4 *4 (-174))
-   (-5 *2 (-1288 (-701 *4)))))
+  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1023)))))) 
+(((*1 *2)
+  (-12 (-4 *4 (-174)) (-5 *2 (-783)) (-5 *1 (-166 *3 *4))
+   (-4 *3 (-167 *4))))
  ((*1 *2)
-  (-12 (-4 *4 (-174)) (-5 *2 (-1288 (-701 *4))) (-5 *1 (-428 *3 *4))
-   (-4 *3 (-429 *4))))
+  (-12 (-14 *4 *2) (-4 *5 (-1238)) (-5 *2 (-783))
+   (-5 *1 (-242 *3 *4 *5)) (-4 *3 (-243 *4 *5))))
  ((*1 *2)
-  (-12 (-4 *1 (-429 *3)) (-4 *3 (-174)) (-5 *2 (-1288 (-701 *3)))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 (-1197))) (-4 *5 (-374))
-   (-5 *2 (-1288 (-701 (-419 (-971 *5))))) (-5 *1 (-1107 *5))
-   (-5 *4 (-701 (-419 (-971 *5))))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 (-1197))) (-4 *5 (-374))
-   (-5 *2 (-1288 (-701 (-971 *5)))) (-5 *1 (-1107 *5))
-   (-5 *4 (-701 (-971 *5)))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-701 *4))) (-4 *4 (-374))
-   (-5 *2 (-1288 (-701 *4))) (-5 *1 (-1107 *4))))) 
-(((*1 *2 *3 *3 *4 *3 *4 *4 *4 *4 *5)
-  (-12 (-5 *3 (-227)) (-5 *4 (-576))
-   (-5 *5 (-3 (|:| |fn| (-400)) (|:| |fp| (-64 G)))) (-5 *2 (-1056))
-   (-5 *1 (-760))))) 
-(((*1 *1 *1) (-12 (-4 *1 (-668 *2)) (-4 *2 (-1070)) (-4 *2 (-374))))) 
-(((*1 *2 *1 *3)
-  (-12 (-4 *1 (-47 *2 *3)) (-4 *3 (-804)) (-4 *2 (-1070))))
- ((*1 *2 *1 *1)
-  (-12 (-4 *2 (-1070)) (-5 *1 (-50 *2 *3)) (-14 *3 (-656 (-1197)))))
- ((*1 *2 *1 *3)
-  (-12 (-5 *3 (-656 (-940))) (-4 *2 (-374)) (-5 *1 (-153 *4 *2 *5))
-   (-14 *4 (-940)) (-14 *5 (-1014 *4 *2))))
- ((*1 *2 *1 *1)
-  (-12 (-5 *2 (-326 *3)) (-5 *1 (-225 *3 *4))
-   (-4 *3 (-13 (-1070) (-861))) (-14 *4 (-656 (-1197)))))
- ((*1 *2 *3 *1)
-  (-12 (-4 *1 (-333 *3 *2)) (-4 *3 (-1121)) (-4 *2 (-132))))
- ((*1 *2 *1 *3)
-  (-12 (-4 *1 (-393 *2 *3)) (-4 *3 (-1121)) (-4 *2 (-1070))))
- ((*1 *2 *1 *3)
-  (-12 (-5 *3 (-576)) (-4 *2 (-568)) (-5 *1 (-635 *2 *4))
-   (-4 *4 (-1264 *2))))
- ((*1 *2 *1 *3) (-12 (-5 *3 (-783)) (-4 *1 (-720 *2)) (-4 *2 (-1070))))
- ((*1 *2 *1 *3)
-  (-12 (-4 *2 (-1070)) (-5 *1 (-747 *2 *3)) (-4 *3 (-738))))
- ((*1 *1 *1 *2 *3)
-  (-12 (-5 *2 (-656 *5)) (-5 *3 (-656 (-783))) (-4 *1 (-752 *4 *5))
-   (-4 *4 (-1070)) (-4 *5 (-861))))
- ((*1 *1 *1 *2 *3)
-  (-12 (-5 *3 (-783)) (-4 *1 (-752 *4 *2)) (-4 *4 (-1070))
-   (-4 *2 (-861))))
- ((*1 *2 *1 *3) (-12 (-5 *3 (-783)) (-4 *1 (-866 *2)) (-4 *2 (-1070))))
- ((*1 *1 *1 *2 *3)
-  (-12 (-5 *2 (-656 *6)) (-5 *3 (-656 (-783))) (-4 *1 (-968 *4 *5 *6))
-   (-4 *4 (-1070)) (-4 *5 (-805)) (-4 *6 (-861))))
- ((*1 *1 *1 *2 *3)
-  (-12 (-5 *3 (-783)) (-4 *1 (-968 *4 *5 *2)) (-4 *4 (-1070))
-   (-4 *5 (-805)) (-4 *2 (-861))))
- ((*1 *2 *1 *3)
-  (-12 (-5 *3 (-783)) (-4 *2 (-968 *4 (-543 *5) *5))
-   (-5 *1 (-1147 *4 *5 *2)) (-4 *4 (-1070)) (-4 *5 (-861))))
- ((*1 *2 *1 *3)
-  (-12 (-5 *3 (-783)) (-5 *2 (-971 *4)) (-5 *1 (-1232 *4))
-   (-4 *4 (-1070))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-1170 *3)) (-4 *3 (-1238)) (-5 *2 (-112))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-1288 (-656 (-2 (|:| -3104 *4) (|:| -3223 (-1141))))))
-   (-4 *4 (-360)) (-5 *2 (-701 *4)) (-5 *1 (-357 *4))))) 
-(((*1 *2 *3)
-  (-12 (-5 *2 (-1 (-227) (-227))) (-5 *1 (-328)) (-5 *3 (-227))))) 
+  (-12 (-4 *4 (-1121)) (-5 *2 (-783)) (-5 *1 (-441 *3 *4))
+   (-4 *3 (-442 *4))))
+ ((*1 *2) (-12 (-5 *2 (-783)) (-5 *1 (-556 *3)) (-4 *3 (-557))))
+ ((*1 *2) (-12 (-4 *1 (-775)) (-5 *2 (-783))))
+ ((*1 *2)
+  (-12 (-4 *4 (-174)) (-5 *2 (-783)) (-5 *1 (-808 *3 *4))
+   (-4 *3 (-809 *4))))
+ ((*1 *2)
+  (-12 (-4 *4 (-568)) (-5 *2 (-783)) (-5 *1 (-1012 *3 *4))
+   (-4 *3 (-1013 *4))))
+ ((*1 *2)
+  (-12 (-4 *4 (-174)) (-5 *2 (-783)) (-5 *1 (-1017 *3 *4))
+   (-4 *3 (-1018 *4))))
+ ((*1 *2) (-12 (-5 *2 (-783)) (-5 *1 (-1032 *3)) (-4 *3 (-1033))))
+ ((*1 *2) (-12 (-4 *1 (-1070)) (-5 *2 (-783))))
+ ((*1 *2) (-12 (-5 *2 (-783)) (-5 *1 (-1080 *3)) (-4 *3 (-1081))))) 
 (((*1 *1 *1) (-4 *1 (-95)))
  ((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
@@ -2582,42 +2628,44 @@
  ((*1 *2 *2)
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))) 
-(((*1 *2 *2 *2 *2 *2 *2)
-  (-12 (-4 *2 (-13 (-374) (-10 -8 (-15 ** ($ $ (-419 (-576)))))))
-   (-5 *1 (-1149 *3 *2)) (-4 *3 (-1264 *2))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-1 *2 *2)) (-5 *1 (-694 *2)) (-4 *2 (-1121))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-1 (-656 *5) (-656 *5))) (-5 *4 (-576))
-   (-5 *2 (-656 *5)) (-5 *1 (-694 *5)) (-4 *5 (-1121))))) 
-(((*1 *2 *2) (-12 (-5 *1 (-980 *2)) (-4 *2 (-557))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-1264 (-419 *2))) (-5 *2 (-576)) (-5 *1 (-932 *4 *3))
-   (-4 *3 (-1264 (-419 *4)))))) 
-(((*1 *2 *3 *3)
-  (-12 (-4 *4 (-13 (-464) (-148))) (-5 *2 (-430 *3))
-   (-5 *1 (-100 *4 *3)) (-4 *3 (-1264 *4))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *4 (-656 *3)) (-4 *3 (-1264 *5)) (-4 *5 (-13 (-464) (-148)))
-   (-5 *2 (-430 *3)) (-5 *1 (-100 *5 *3))))) 
-(((*1 *2 *1)
-  (-12 (-5 *2 (-1178 (-576))) (-5 *1 (-1025 *3)) (-14 *3 (-576))))) 
+(((*1 *2 *2 *1)
+  (-12 (-4 *1 (-1231 *3 *4 *5 *2)) (-4 *3 (-568)) (-4 *4 (-805))
+   (-4 *5 (-861)) (-4 *2 (-1086 *3 *4 *5))))) 
+(((*1 *1 *1 *1)
+  (-12 (-5 *1 (-656 *2)) (-4 *2 (-1121)) (-4 *2 (-1238))))) 
+(((*1 *1 *1)
+  (-12 (-4 *2 (-374)) (-4 *3 (-805)) (-4 *4 (-861))
+   (-5 *1 (-516 *2 *3 *4 *5)) (-4 *5 (-968 *2 *3 *4))))) 
+(((*1 *1 *1 *2)
+  (-12 (-5 *2 (-576)) (-5 *1 (-326 *3)) (-4 *3 (-568)) (-4 *3 (-1121))))) 
+(((*1 *1 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1238))))
+ ((*1 *1 *1)
+  (-12 (|has| *1 (-6 -4466)) (-4 *1 (-384 *2)) (-4 *2 (-1238))))
+ ((*1 *1 *1)
+  (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23))
+   (-14 *4 *3)))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-1193 *2)) (-4 *2 (-968 (-419 (-971 *6)) *5 *4))
+   (-5 *1 (-744 *5 *4 *6 *2)) (-4 *5 (-805))
+   (-4 *4 (-13 (-861) (-10 -8 (-15 -4172 ((-1197) $)))))
+   (-4 *6 (-568))))) 
 (((*1 *2 *1) (-12 (-5 *2 (-656 (-624 *1))) (-4 *1 (-312))))) 
 (((*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-529))))
  ((*1 *2 *1)
   (-12 (-4 *2 (-13 (-1121) (-34))) (-5 *1 (-1161 *3 *2))
    (-4 *3 (-13 (-1121) (-34)))))
  ((*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-1299))))) 
-(((*1 *1 *2 *3)
-  (-12 (-5 *2 (-656 (-1237))) (-5 *3 (-1237)) (-5 *1 (-693))))) 
-(((*1 *2 *1 *1)
-  (-12 (-4 *1 (-1086 *3 *4 *5)) (-4 *3 (-1070)) (-4 *4 (-805))
-   (-4 *5 (-861)) (-5 *2 (-112))))) 
-(((*1 *2 *2 *3 *4)
-  (|partial| -12
-      (-5 *3
-       (-1 (-3 (-2 (|:| -4106 *4) (|:| |coeff| *4)) "failed") *4))
-      (-4 *4 (-374)) (-5 *1 (-586 *4 *2)) (-4 *2 (-1264 *4))))) 
+(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *5)
+  (-12 (-5 *3 (-1 (-390) (-390))) (-5 *4 (-390))
+   (-5 *2
+    (-2 (|:| -3106 *4) (|:| -3314 *4) (|:| |totalpts| (-576))
+     (|:| |success| (-112))))
+   (-5 *1 (-801)) (-5 *5 (-576))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1223)))))) 
+(((*1 *2 *3 *3 *3 *3 *4)
+  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
 (((*1 *1 *1) (-4 *1 (-95)))
  ((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
@@ -2634,55 +2682,40 @@
  ((*1 *2 *2)
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))) 
-(((*1 *1 *2)
-  (-12 (-5 *2 (-656 *3)) (-4 *3 (-1121)) (-5 *1 (-1021 *3))))) 
-(((*1 *1 *2)
-  (-12
-   (-5 *2
-    (-656
-     (-2
-      (|:| -4300
-           (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227)))
-            (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
-            (|:| |relerr| (-227))))
-      (|:| -4438
-           (-2
-            (|:| |endPointContinuity|
-                 (-3 (|:| |continuous| "Continuous at the end points")
-                  (|:| |lowerSingular|
-                       "There is a singularity at the lower end point")
-                  (|:| |upperSingular|
-                       "There is a singularity at the upper end point")
-                  (|:| |bothSingular|
-                       "There are singularities at both end points")
-                  (|:| |notEvaluated|
-                       "End point continuity not yet evaluated")))
-            (|:| |singularitiesStream|
-                 (-3 (|:| |str| (-1178 (-227)))
-                  (|:| |notEvaluated|
-                       "Internal singularities not yet evaluated")))
-            (|:| -3343
-                 (-3 (|:| |finite| "The range is finite")
-                  (|:| |lowerInfinite|
-                       "The bottom of range is infinite")
-                  (|:| |upperInfinite| "The top of range is infinite")
-                  (|:| |bothInfinite|
-                       "Both top and bottom points are infinite")
-                  (|:| |notEvaluated| "Range not yet evaluated"))))))))
-   (-5 *1 (-571))))) 
-(((*1 *1) (-5 *1 (-1103)))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-568)) (-5 *2 (-2 (|:| |coef2| *3) (|:| -2455 *4)))
-   (-5 *1 (-990 *4 *3)) (-4 *3 (-1264 *4))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
+(((*1 *1 *1) (-12 (-5 *1 (-620 *2)) (-4 *2 (-1121))))
+ ((*1 *1 *1) (-5 *1 (-644)))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *3 (-1197)) (-4 *4 (-464)) (-4 *4 (-1121))
+   (-5 *1 (-585 *4 *2)) (-4 *2 (-294)) (-4 *2 (-442 *4))))) 
+(((*1 *2)
+  (-12 (-5 *2 (-1293)) (-5 *1 (-1215 *3 *4)) (-4 *3 (-1121))
+   (-4 *4 (-1121))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-264))))) 
+(((*1 *1 *1)
+  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
 (((*1 *2 *3 *1)
   (|partial| -12 (-4 *1 (-36 *3 *4)) (-4 *3 (-1121)) (-4 *4 (-1121))
-      (-5 *2 (-2 (|:| -4300 *3) (|:| -4438 *4)))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-1233 *3)) (-4 *3 (-995))))) 
-(((*1 *1 *1)
-  (|partial| -12 (-4 *1 (-378 *2)) (-4 *2 (-174)) (-4 *2 (-568))))
- ((*1 *1 *1) (|partial| -4 *1 (-734)))) 
+      (-5 *2 (-2 (|:| -4301 *3) (|:| -4440 *4)))))) 
+(((*1 *2 *3 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-390)) (-5 *1 (-97))))) 
+(((*1 *2 *2 *3)
+  (-12 (-4 *4 (-805))
+   (-4 *3 (-13 (-861) (-10 -8 (-15 -4172 ((-1197) $))))) (-4 *5 (-568))
+   (-5 *1 (-744 *4 *3 *5 *2)) (-4 *2 (-968 (-419 (-971 *5)) *4 *3))))
+ ((*1 *2 *2 *3)
+  (-12 (-4 *4 (-1070)) (-4 *5 (-805))
+   (-4 *3
+    (-13 (-861)
+     (-10 -8 (-15 -4172 ((-1197) $))
+      (-15 -3055 ((-3 $ "failed") (-1197))))))
+   (-5 *1 (-1005 *4 *5 *3 *2)) (-4 *2 (-968 (-971 *4) *5 *3))))
+ ((*1 *2 *2 *3)
+  (-12 (-5 *3 (-656 *6))
+   (-4 *6
+    (-13 (-861)
+     (-10 -8 (-15 -4172 ((-1197) $))
+      (-15 -3055 ((-3 $ "failed") (-1197))))))
+   (-4 *4 (-1070)) (-4 *5 (-805)) (-5 *1 (-1005 *4 *5 *6 *2))
+   (-4 *2 (-968 (-971 *4) *5 *6))))) 
 (((*1 *1 *1) (-4 *1 (-95)))
  ((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
@@ -2699,18 +2732,30 @@
  ((*1 *2 *2)
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-834))))) 
-(((*1 *2 *1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-430 *3)) (-4 *3 (-568))))) 
-(((*1 *1 *2 *2 *3) (-12 (-5 *2 (-576)) (-5 *3 (-940)) (-5 *1 (-711))))
- ((*1 *2 *2 *2 *3 *4)
-  (-12 (-5 *2 (-701 *5)) (-5 *3 (-99 *5)) (-5 *4 (-1 *5 *5))
-   (-4 *5 (-374)) (-5 *1 (-999 *5))))) 
-(((*1 *1 *2 *3)
-  (-12 (-5 *1 (-439 *3 *2)) (-4 *3 (-13 (-174) (-38 (-419 (-576)))))
-   (-4 *2 (-13 (-861) (-21)))))) 
-(((*1 *1 *2 *3)
-  (-12 (-5 *2 (-480)) (-5 *3 (-656 (-270))) (-5 *1 (-1289))))
- ((*1 *1 *1) (-5 *1 (-1289)))) 
+(((*1 *2 *1) (-12 (-4 *1 (-34)) (-5 *2 (-112))))
+ ((*1 *2 *1)
+  (-12 (-4 *3 (-464)) (-4 *4 (-861)) (-4 *5 (-805)) (-5 *2 (-112))
+   (-5 *1 (-1008 *3 *4 *5 *6)) (-4 *6 (-968 *3 *5 *4))))
+ ((*1 *2 *1)
+  (-12 (-5 *2 (-112)) (-5 *1 (-1161 *3 *4)) (-4 *3 (-13 (-1121) (-34)))
+   (-4 *4 (-13 (-1121) (-34)))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-1 *5 *7)) (-5 *4 (-1193 *7)) (-4 *5 (-1070))
+   (-4 *7 (-1070)) (-4 *2 (-1264 *5)) (-5 *1 (-513 *5 *2 *6 *7))
+   (-4 *6 (-1264 *2))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-1 *7 *5)) (-4 *5 (-1070)) (-4 *7 (-1070))
+   (-4 *4 (-1264 *5)) (-5 *2 (-1193 *7)) (-5 *1 (-513 *5 *4 *6 *7))
+   (-4 *6 (-1264 *4))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-624 *5)) (-4 *5 (-442 *4)) (-4 *4 (-1059 (-576)))
+   (-4 *4 (-568)) (-5 *2 (-1193 *5)) (-5 *1 (-32 *4 *5))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-624 *1)) (-4 *1 (-1070)) (-4 *1 (-312))
+   (-5 *2 (-1193 *1))))) 
+(((*1 *2)
+  (-12 (-4 *3 (-568)) (-5 *2 (-656 *4)) (-5 *1 (-43 *3 *4))
+   (-4 *4 (-429 *3))))) 
 (((*1 *2 *1) (-12 (-4 *1 (-249 *2)) (-4 *2 (-1238))))
  ((*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-1117))))
  ((*1 *2 *1)
@@ -2719,40 +2764,40 @@
  ((*1 *1 *1 *2)
   (-12 (-5 *2 (-783)) (-4 *1 (-1276 *3)) (-4 *3 (-1238))))
  ((*1 *2 *1) (-12 (-4 *1 (-1276 *2)) (-4 *2 (-1238))))) 
-(((*1 *2 *3 *3)
-  (-12 (-4 *4 (-568))
-   (-5 *2 (-2 (|:| -1714 *4) (|:| -3015 *3) (|:| -3599 *3)))
-   (-5 *1 (-990 *4 *3)) (-4 *3 (-1264 *4))))
- ((*1 *2 *1 *1)
-  (-12 (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861))
-   (-5 *2 (-2 (|:| -3015 *1) (|:| -3599 *1))) (-4 *1 (-1086 *3 *4 *5))))
- ((*1 *2 *1 *1)
-  (-12 (-4 *3 (-568)) (-4 *3 (-1070))
-   (-5 *2 (-2 (|:| -1714 *3) (|:| -3015 *1) (|:| -3599 *1)))
-   (-4 *1 (-1264 *3))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *4 (-112)) (-4 *5 (-13 (-464) (-1059 (-576)) (-651 (-576))))
+   (-5 *2
+    (-3 (|:| |%expansion| (-323 *5 *3 *6 *7))
+     (|:| |%problem| (-2 (|:| |func| (-1179)) (|:| |prob| (-1179))))))
+   (-5 *1 (-432 *5 *3 *6 *7)) (-4 *3 (-13 (-27) (-1223) (-442 *5)))
+   (-14 *6 (-1197)) (-14 *7 *3)))) 
+(((*1 *1 *1 *2)
+  (-12 (-5 *2 (-783)) (-4 *1 (-1305 *3 *4)) (-4 *3 (-861))
+   (-4 *4 (-1070)) (-4 *4 (-174))))
+ ((*1 *1 *1 *1)
+  (-12 (-4 *1 (-1305 *2 *3)) (-4 *2 (-861)) (-4 *3 (-1070))
+   (-4 *3 (-174))))) 
 (((*1 *2 *1)
   (-12 (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1238)) (-4 *4 (-384 *3))
    (-4 *5 (-384 *3)) (-5 *2 (-656 *3))))
  ((*1 *2 *1)
-  (-12 (|has| *1 (-6 -4464)) (-4 *1 (-501 *3)) (-4 *3 (-1238))
+  (-12 (|has| *1 (-6 -4465)) (-4 *1 (-501 *3)) (-4 *3 (-1238))
    (-5 *2 (-656 *3))))
  ((*1 *2 *1) (-12 (-5 *2 (-656 (-940))) (-5 *1 (-992))))) 
-(((*1 *2 *2)
-  (-12 (-4 *3 (-626 (-907 *3))) (-4 *3 (-901 *3)) (-4 *3 (-464))
-   (-5 *1 (-1229 *3 *2)) (-4 *2 (-626 (-907 *3))) (-4 *2 (-901 *3))
-   (-4 *2 (-13 (-442 *3) (-1223)))))) 
-(((*1 *2 *3 *3 *3 *4 *3 *3 *4 *4 *4 *5)
-  (-12 (-5 *3 (-227)) (-5 *4 (-576))
-   (-5 *5 (-3 (|:| |fn| (-400)) (|:| |fp| (-64 G)))) (-5 *2 (-1056))
-   (-5 *1 (-760))))) 
+(((*1 *2 *3 *4 *4 *4 *4 *5 *5)
+  (-12 (-5 *3 (-1 (-390) (-390))) (-5 *4 (-390))
+   (-5 *2
+    (-2 (|:| -3106 *4) (|:| -3314 *4) (|:| |totalpts| (-576))
+     (|:| |success| (-112))))
+   (-5 *1 (-801)) (-5 *5 (-576))))) 
 (((*1 *2 *2 *3)
   (-12 (-4 *3 (-374)) (-5 *1 (-295 *3 *2)) (-4 *2 (-1279 *3))))) 
-(((*1 *2)
-  (-12 (-4 *4 (-1242)) (-4 *5 (-1264 *4)) (-4 *6 (-1264 (-419 *5)))
-   (-5 *2 (-112)) (-5 *1 (-352 *3 *4 *5 *6)) (-4 *3 (-353 *4 *5 *6))))
- ((*1 *2)
-  (-12 (-4 *1 (-353 *3 *4 *5)) (-4 *3 (-1242)) (-4 *4 (-1264 *3))
-   (-4 *5 (-1264 (-419 *4))) (-5 *2 (-112))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *2 (-1 (-962 (-227)) (-227) (-227)))
+   (-5 *3 (-1 (-227) (-227) (-227) (-227))) (-5 *1 (-262))))) 
+(((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-479))))
+ ((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-479))))
+ ((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-946))))) 
 (((*1 *1 *1) (-4 *1 (-95))) ((*1 *1 *1 *1) (-5 *1 (-227)))
  ((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
@@ -2773,30 +2818,40 @@
  ((*1 *2 *2)
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))) 
-(((*1 *2 *1)
-  (-12 (-5 *2 (-656 (-576))) (-5 *1 (-1025 *3)) (-14 *3 (-576))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-946))))) 
-(((*1 *2 *1 *1)
-  (-12 (-4 *1 (-1031 *3)) (-4 *3 (-1238)) (-5 *2 (-576))))) 
-(((*1 *2 *3 *4 *5 *4)
-  (-12 (-5 *3 (-701 (-227))) (-5 *4 (-576)) (-5 *5 (-112))
-   (-5 *2 (-1056)) (-5 *1 (-757))))) 
-(((*1 *2 *3 *3 *3)
-  (-12 (-5 *2 (-656 (-576))) (-5 *1 (-1131)) (-5 *3 (-576))))) 
-(((*1 *2 *1)
-  (-12 (-5 *2 (-656 (-52))) (-5 *1 (-907 *3)) (-4 *3 (-1121))))) 
+(((*1 *1 *1) (-12 (-4 *1 (-668 *2)) (-4 *2 (-1070))))
+ ((*1 *2 *3)
+  (-12 (-4 *4 (-568)) (-4 *4 (-174)) (-4 *5 (-384 *4))
+   (-4 *6 (-384 *4)) (-5 *2 (-2 (|:| |adjMat| *3) (|:| |detMat| *4)))
+   (-5 *1 (-700 *4 *5 *6 *3)) (-4 *3 (-699 *4 *5 *6))))
+ ((*1 *1 *1 *1)
+  (-12 (-4 *2 (-174)) (-4 *2 (-1070)) (-5 *1 (-726 *2 *3))
+   (-4 *3 (-660 *2))))
+ ((*1 *1 *1)
+  (-12 (-4 *2 (-174)) (-4 *2 (-1070)) (-5 *1 (-726 *2 *3))
+   (-4 *3 (-660 *2))))
+ ((*1 *1 *1 *1) (-12 (-5 *1 (-848 *2)) (-4 *2 (-174)) (-4 *2 (-1070))))
+ ((*1 *1 *1) (-12 (-5 *1 (-848 *2)) (-4 *2 (-174)) (-4 *2 (-1070))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-783)) (-5 *1 (-135))))) 
+(((*1 *2 *2 *2)
+  (-12 (-5 *2 (-1178 *3)) (-4 *3 (-1070)) (-5 *1 (-1181 *3))))) 
+(((*1 *2 *3 *3 *3 *3 *4 *5 *5 *6 *7 *8 *8 *3)
+  (-12 (-5 *6 (-656 (-112))) (-5 *7 (-701 (-227)))
+   (-5 *8 (-701 (-576))) (-5 *3 (-576)) (-5 *4 (-227)) (-5 *5 (-112))
+   (-5 *2 (-1056)) (-5 *1 (-766))))) 
+(((*1 *2 *3 *3 *4 *3 *4 *4 *4 *5 *5 *5 *5 *4 *4 *6 *7)
+  (-12 (-5 *4 (-576)) (-5 *5 (-701 (-227)))
+   (-5 *6 (-3 (|:| |fn| (-400)) (|:| |fp| (-84 FCNF))))
+   (-5 *7 (-3 (|:| |fn| (-400)) (|:| |fp| (-85 FCNG)))) (-5 *3 (-227))
+   (-5 *2 (-1056)) (-5 *1 (-761))))) 
+(((*1 *1 *1)
+  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
+(((*1 *1 *1)
+  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-1197))) (-5 *2 (-1293)) (-5 *1 (-1200))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *4 (-656 (-1197))) (-5 *3 (-1197)) (-5 *2 (-1293))
-   (-5 *1 (-1200))))
- ((*1 *2 *3 *4 *1)
-  (-12 (-5 *4 (-656 (-1197))) (-5 *3 (-1197)) (-5 *2 (-1293))
-   (-5 *1 (-1200))))) 
-(((*1 *2 *1)
-  (-12 (-4 *1 (-1124 *3 *4 *5 *6 *7)) (-4 *3 (-1121)) (-4 *4 (-1121))
-   (-4 *5 (-1121)) (-4 *6 (-1121)) (-4 *7 (-1121)) (-5 *2 (-112))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-836)) (-5 *1 (-837))))) 
+  (-12 (-5 *3 (-783)) (-4 *4 (-374)) (-4 *5 (-1264 *4)) (-5 *2 (-1293))
+   (-5 *1 (-40 *4 *5 *6 *7)) (-4 *6 (-1264 (-419 *5))) (-14 *7 *6)))) 
+(((*1 *1 *1)
+  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
 (((*1 *1 *1) (-4 *1 (-95)))
  ((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
@@ -2816,25 +2871,41 @@
  ((*1 *2 *2)
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-656 *7)) (-4 *7 (-968 *4 *6 *5))
-   (-4 *4 (-13 (-317) (-148))) (-4 *5 (-13 (-861) (-626 (-1197))))
-   (-4 *6 (-805)) (-5 *2 (-112)) (-5 *1 (-943 *4 *5 *6 *7))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-971 *4))) (-4 *4 (-13 (-317) (-148)))
-   (-4 *5 (-13 (-861) (-626 (-1197)))) (-4 *6 (-805)) (-5 *2 (-112))
-   (-5 *1 (-943 *4 *5 *6 *7)) (-4 *7 (-968 *4 *6 *5))))) 
-(((*1 *2) (-12 (-5 *2 (-1179)) (-5 *1 (-771))))) 
-(((*1 *2 *2 *1)
-  (-12 (-4 *1 (-1231 *3 *4 *5 *2)) (-4 *3 (-568)) (-4 *4 (-805))
-   (-4 *5 (-861)) (-4 *2 (-1086 *3 *4 *5))))) 
-(((*1 *1 *1) (-12 (-5 *1 (-620 *2)) (-4 *2 (-1121))))
- ((*1 *1 *1) (-5 *1 (-644)))) 
+(((*1 *2 *1)
+  (-12 (-4 *2 (-1121)) (-5 *1 (-983 *2 *3)) (-4 *3 (-1121))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *2 (-907 *4)) (-4 *4 (-1121)) (-5 *1 (-905 *4 *3))
+   (-4 *3 (-1238))))
+ ((*1 *1 *1 *2) (-12 (-5 *2 (-52)) (-5 *1 (-907 *3)) (-4 *3 (-1121))))) 
+(((*1 *1 *2 *3)
+  (-12 (-5 *3 (-1197)) (-5 *1 (-598 *2)) (-4 *2 (-1059 *3))
+   (-4 *2 (-374))))
+ ((*1 *1 *2 *2) (-12 (-5 *1 (-598 *2)) (-4 *2 (-374))))
+ ((*1 *2 *2 *3)
+  (-12 (-5 *3 (-1197)) (-4 *4 (-568)) (-5 *1 (-642 *4 *2))
+   (-4 *2 (-13 (-442 *4) (-1023) (-1223)))))
+ ((*1 *2 *2 *3)
+  (-12 (-5 *3 (-1113 *2)) (-4 *2 (-13 (-442 *4) (-1023) (-1223)))
+   (-4 *4 (-568)) (-5 *1 (-642 *4 *2))))
+ ((*1 *1 *1 *2) (-12 (-4 *1 (-978)) (-5 *2 (-1197))))
+ ((*1 *1 *1 *2) (-12 (-5 *2 (-1113 *1)) (-4 *1 (-978))))) 
+(((*1 *2 *1)
+  (-12
+   (-5 *2
+    (-3 (|:| |Null| "null") (|:| |Assignment| "assignment")
+     (|:| |Conditional| "conditional") (|:| |Return| "return")
+     (|:| |Block| "block") (|:| |Comment| "comment")
+     (|:| |Call| "call") (|:| |For| "for") (|:| |While| "while")
+     (|:| |Repeat| "repeat") (|:| |Goto| "goto")
+     (|:| |Continue| "continue")
+     (|:| |ArrayAssignment| "arrayAssignment") (|:| |Save| "save")
+     (|:| |Stop| "stop") (|:| |Common| "common") (|:| |Print| "print")))
+   (-5 *1 (-340))))) 
 (((*1 *1 *2 *1)
-  (-12 (|has| *1 (-6 -4464)) (-4 *1 (-152 *2)) (-4 *2 (-1238))
+  (-12 (|has| *1 (-6 -4465)) (-4 *1 (-152 *2)) (-4 *2 (-1238))
    (-4 *2 (-1121))))
  ((*1 *1 *2 *1)
-  (-12 (-5 *2 (-1 (-112) *3)) (|has| *1 (-6 -4464)) (-4 *1 (-152 *3))
+  (-12 (-5 *2 (-1 (-112) *3)) (|has| *1 (-6 -4465)) (-4 *1 (-152 *3))
    (-4 *3 (-1238))))
  ((*1 *1 *2 *1)
   (-12 (-5 *2 (-1 (-112) *3)) (-4 *1 (-686 *3)) (-4 *3 (-1238))))
@@ -2846,38 +2917,27 @@
  ((*1 *1 *2 *1)
   (-12 (-5 *2 (-1161 *3 *4)) (-4 *3 (-13 (-1121) (-34)))
    (-4 *4 (-13 (-1121) (-34))) (-5 *1 (-1162 *3 *4))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-1 *5 *7)) (-5 *4 (-1193 *7)) (-4 *5 (-1070))
-   (-4 *7 (-1070)) (-4 *2 (-1264 *5)) (-5 *1 (-513 *5 *2 *6 *7))
-   (-4 *6 (-1264 *2))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-1 *7 *5)) (-4 *5 (-1070)) (-4 *7 (-1070))
-   (-4 *4 (-1264 *5)) (-5 *2 (-1193 *7)) (-5 *1 (-513 *5 *4 *6 *7))
-   (-4 *6 (-1264 *4))))) 
-(((*1 *2 *1)
-  (-12
-   (-5 *2
-    (-3 (|:| |Null| "null") (|:| |Assignment| "assignment")
-     (|:| |Conditional| "conditional") (|:| |Return| "return")
-     (|:| |Block| "block") (|:| |Comment| "comment")
-     (|:| |Call| "call") (|:| |For| "for") (|:| |While| "while")
-     (|:| |Repeat| "repeat") (|:| |Goto| "goto")
-     (|:| |Continue| "continue")
-     (|:| |ArrayAssignment| "arrayAssignment") (|:| |Save| "save")
-     (|:| |Stop| "stop") (|:| |Common| "common") (|:| |Print| "print")))
-   (-5 *1 (-340))))) 
-(((*1 *1 *2) (-12 (-5 *2 (-783)) (-5 *1 (-135))))) 
 (((*1 *2 *2 *3)
-  (-12 (-5 *2 (-907 *4)) (-4 *4 (-1121)) (-5 *1 (-905 *4 *3))
-   (-4 *3 (-1238))))
- ((*1 *1 *1 *2) (-12 (-5 *2 (-52)) (-5 *1 (-907 *3)) (-4 *3 (-1121))))) 
-(((*1 *2 *1)
-  (-12 (-4 *1 (-375 *3 *2)) (-4 *3 (-1121)) (-4 *2 (-1121))))) 
+  (-12 (-5 *2 (-115)) (-5 *3 (-656 (-1 *4 (-656 *4)))) (-4 *4 (-1121))
+   (-5 *1 (-114 *4))))
+ ((*1 *2 *2 *3)
+  (-12 (-5 *2 (-115)) (-5 *3 (-1 *4 *4)) (-4 *4 (-1121))
+   (-5 *1 (-114 *4))))
+ ((*1 *2 *3)
+  (|partial| -12 (-5 *3 (-115)) (-5 *2 (-656 (-1 *4 (-656 *4))))
+      (-5 *1 (-114 *4)) (-4 *4 (-1121))))) 
+(((*1 *2 *3 *2)
+  (-12 (-5 *2 (-888)) (-5 *3 (-656 (-270))) (-5 *1 (-268))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-1238)) (-4 *1 (-107 *3))))) 
+(((*1 *2) (-12 (-5 *2 (-888)) (-5 *1 (-1291))))
+ ((*1 *2 *2) (-12 (-5 *2 (-888)) (-5 *1 (-1291))))) 
+(((*1 *1 *1 *1) (-4 *1 (-557)))) 
 (((*1 *1 *1) (-5 *1 (-112)))) 
-(((*1 *2 *3 *3)
-  (-12 (|has| *2 (-6 (-4466 "*"))) (-4 *5 (-384 *2)) (-4 *6 (-384 *2))
-   (-4 *2 (-1070)) (-5 *1 (-104 *2 *3 *4 *5 *6)) (-4 *3 (-1264 *2))
-   (-4 *4 (-699 *2 *5 *6))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-568)) (-4 *5 (-805)) (-4 *6 (-861))
+   (-4 *7 (-1086 *4 *5 *6))
+   (-5 *2 (-2 (|:| |goodPols| (-656 *7)) (|:| |badPols| (-656 *7))))
+   (-5 *1 (-998 *4 *5 *6 *7)) (-5 *3 (-656 *7))))) 
 (((*1 *1 *1) (-4 *1 (-95)))
  ((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
@@ -2897,30 +2957,28 @@
  ((*1 *2 *2)
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-539)) (-5 *2 (-703 (-558)))))) 
-(((*1 *2 *3 *4 *5 *6)
-  (-12 (-5 *6 (-940)) (-4 *5 (-317)) (-4 *3 (-1264 *5))
-   (-5 *2 (-2 (|:| |plist| (-656 *3)) (|:| |modulo| *5)))
-   (-5 *1 (-472 *5 *3)) (-5 *4 (-656 *3))))) 
-(((*1 *2)
-  (-12 (-4 *3 (-568)) (-5 *2 (-656 *4)) (-5 *1 (-43 *3 *4))
-   (-4 *4 (-429 *3))))) 
-(((*1 *2 *3 *3 *3)
-  (-12 (-5 *3 (-656 (-576))) (-5 *2 (-701 (-576))) (-5 *1 (-1131))))) 
-(((*1 *2 *2)
-  (-12 (-4 *3 (-13 (-568) (-1059 (-576)))) (-5 *1 (-190 *3 *2))
-   (-4 *2 (-13 (-27) (-1223) (-442 (-171 *3))))))
- ((*1 *2 *2)
-  (-12 (-4 *3 (-13 (-464) (-1059 (-576)) (-651 (-576))))
-   (-5 *1 (-1227 *3 *2)) (-4 *2 (-13 (-27) (-1223) (-442 *3)))))) 
-(((*1 *2 *3 *4 *5)
-  (-12 (-5 *4 (-1 *7 *7))
-   (-5 *5 (-1 (-3 (-2 (|:| -4106 *6) (|:| |coeff| *6)) "failed") *6))
-   (-4 *6 (-374)) (-4 *7 (-1264 *6))
-   (-5 *2 (-2 (|:| |answer| (-598 (-419 *7))) (|:| |a0| *6)))
-   (-5 *1 (-586 *6 *7)) (-5 *3 (-419 *7))))) 
-(((*1 *1 *1)
-  (-12 (|has| *1 (-6 -4465)) (-4 *1 (-1276 *2)) (-4 *2 (-1238))))) 
+(((*1 *2 *3 *4 *4 *4 *4 *5 *5)
+  (-12 (-5 *3 (-1 (-390) (-390))) (-5 *4 (-390))
+   (-5 *2
+    (-2 (|:| -3106 *4) (|:| -3314 *4) (|:| |totalpts| (-576))
+     (|:| |success| (-112))))
+   (-5 *1 (-801)) (-5 *5 (-576))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-375 *3 *2)) (-4 *3 (-1121)) (-4 *2 (-1121))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-1155 *3)) (-4 *3 (-1070)) (-5 *2 (-783))))) 
+(((*1 *2 *1 *3 *3 *3 *2)
+  (-12 (-5 *3 (-783)) (-5 *1 (-687 *2)) (-4 *2 (-1121))))) 
+(((*1 *2 *3)
+  (-12
+   (-5 *3
+    (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227)))))
+   (-5 *2 (-390)) (-5 *1 (-276))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-1288 (-326 (-227)))) (-5 *2 (-390)) (-5 *1 (-315))))) 
+(((*1 *2 *3 *2)
+  (-12 (-5 *2 (-940)) (-5 *3 (-656 (-270))) (-5 *1 (-268))))
+ ((*1 *1 *2) (-12 (-5 *2 (-940)) (-5 *1 (-270))))) 
+(((*1 *2) (-12 (-5 *2 (-1293)) (-5 *1 (-815))))) 
 (((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
    (-4 *2 (-13 (-442 *3) (-1023)))))
@@ -2937,107 +2995,67 @@
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))
  ((*1 *1 *1) (-4 *1 (-1226)))) 
-(((*1 *2 *2 *2 *3)
-  (-12 (-5 *2 (-656 (-576))) (-5 *3 (-701 (-576))) (-5 *1 (-1131))))) 
+(((*1 *2 *3 *3)
+  (-12 (-5 *3 (-656 *7)) (-4 *7 (-1086 *4 *5 *6)) (-4 *4 (-568))
+   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))
+   (-5 *1 (-998 *4 *5 *6 *7))))) 
+(((*1 *2 *3 *3)
+  (-12 (|has| *2 (-6 (-4467 "*"))) (-4 *5 (-384 *2)) (-4 *6 (-384 *2))
+   (-4 *2 (-1070)) (-5 *1 (-104 *2 *3 *4 *5 *6)) (-4 *3 (-1264 *2))
+   (-4 *4 (-699 *2 *5 *6))))) 
 (((*1 *2 *2)
-  (-12 (-5 *2 (-656 *6)) (-4 *6 (-1086 *3 *4 *5)) (-4 *3 (-148))
-   (-4 *3 (-317)) (-4 *3 (-568)) (-4 *4 (-805)) (-4 *5 (-861))
-   (-5 *1 (-998 *3 *4 *5 *6))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-656 (-1197))) (-5 *1 (-1201))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-971 (-227))) (-5 *2 (-227)) (-5 *1 (-315))))) 
-(((*1 *1) (-5 *1 (-158)))
- ((*1 *2 *1) (-12 (-4 *1 (-1065 *2)) (-4 *2 (-23))))) 
-(((*1 *1 *2 *3 *4)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-656 (-971 (-576))))
-   (-5 *4 (-326 (-171 (-390)))) (-5 *1 (-340))))
- ((*1 *1 *2 *3 *4)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-656 (-971 (-576))))
-   (-5 *4 (-326 (-390))) (-5 *1 (-340))))
- ((*1 *1 *2 *3 *4)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-656 (-971 (-576))))
-   (-5 *4 (-326 (-576))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-1288 (-326 (-171 (-390)))))
-   (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-1288 (-326 (-390)))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-1288 (-326 (-576)))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-701 (-326 (-171 (-390)))))
-   (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-701 (-326 (-390)))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-701 (-326 (-576)))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-326 (-171 (-390)))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-326 (-390))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-326 (-576))) (-5 *1 (-340))))
- ((*1 *1 *2 *3 *4)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-656 (-971 (-576))))
-   (-5 *4 (-326 (-706))) (-5 *1 (-340))))
- ((*1 *1 *2 *3 *4)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-656 (-971 (-576))))
-   (-5 *4 (-326 (-711))) (-5 *1 (-340))))
- ((*1 *1 *2 *3 *4)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-656 (-971 (-576))))
-   (-5 *4 (-326 (-713))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-1288 (-326 (-706)))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-1288 (-326 (-711)))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-1288 (-326 (-713)))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-701 (-326 (-706)))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-701 (-326 (-711)))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-701 (-326 (-713)))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-1288 (-706))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-1288 (-711))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-1288 (-713))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-701 (-706))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-701 (-711))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-701 (-713))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-326 (-706))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-326 (-711))) (-5 *1 (-340))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-326 (-713))) (-5 *1 (-340))))
- ((*1 *1 *2 *3) (-12 (-5 *2 (-1197)) (-5 *3 (-1179)) (-5 *1 (-340))))
- ((*1 *1 *1 *1) (-5 *1 (-876)))) 
+  (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1223)))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-656 (-924 *3))) (-5 *1 (-923 *3)) (-4 *3 (-1121))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-576))) (-5 *2 (-923 (-576))) (-5 *1 (-936))))
- ((*1 *2) (-12 (-5 *2 (-923 (-576))) (-5 *1 (-936))))) 
-(((*1 *2 *2)
-  (-12 (-5 *2 (-112)) (-5 *1 (-454 *3)) (-4 *3 (-1264 (-576)))))) 
-(((*1 *2 *3 *3 *3 *4 *5 *4 *6)
-  (-12 (-5 *3 (-326 (-576))) (-5 *4 (-1 (-227) (-227)))
-   (-5 *5 (-1115 (-227))) (-5 *6 (-576)) (-5 *2 (-1233 (-945)))
-   (-5 *1 (-328))))
- ((*1 *2 *3 *3 *3 *4 *5 *4 *6 *7)
-  (-12 (-5 *3 (-326 (-576))) (-5 *4 (-1 (-227) (-227)))
-   (-5 *5 (-1115 (-227))) (-5 *6 (-576)) (-5 *7 (-1179))
-   (-5 *2 (-1233 (-945))) (-5 *1 (-328))))
- ((*1 *2 *3 *3 *3 *4 *5 *6 *7)
-  (-12 (-5 *3 (-326 (-576))) (-5 *4 (-1 (-227) (-227)))
-   (-5 *5 (-1115 (-227))) (-5 *6 (-227)) (-5 *7 (-576))
-   (-5 *2 (-1233 (-945))) (-5 *1 (-328))))
- ((*1 *2 *3 *3 *3 *4 *5 *6 *7 *8)
-  (-12 (-5 *3 (-326 (-576))) (-5 *4 (-1 (-227) (-227)))
-   (-5 *5 (-1115 (-227))) (-5 *6 (-227)) (-5 *7 (-576)) (-5 *8 (-1179))
-   (-5 *2 (-1233 (-945))) (-5 *1 (-328))))) 
+  (-12 (-5 *3 (-1288 (-656 (-2 (|:| -3106 *4) (|:| -3224 (-1141))))))
+   (-4 *4 (-360)) (-5 *2 (-783)) (-5 *1 (-357 *4))))
+ ((*1 *2)
+  (-12 (-5 *2 (-783)) (-5 *1 (-362 *3 *4)) (-14 *3 (-940))
+   (-14 *4 (-940))))
+ ((*1 *2)
+  (-12 (-5 *2 (-783)) (-5 *1 (-363 *3 *4)) (-4 *3 (-360))
+   (-14 *4
+    (-3 (-1193 *3)
+     (-1288 (-656 (-2 (|:| -3106 *3) (|:| -3224 (-1141)))))))))
+ ((*1 *2)
+  (-12 (-5 *2 (-783)) (-5 *1 (-364 *3 *4)) (-4 *3 (-360))
+   (-14 *4 (-940))))) 
+(((*1 *1 *1) (-5 *1 (-876)))) 
+(((*1 *1 *2)
+  (-12 (-5 *2 (-701 *5)) (-4 *5 (-1070)) (-5 *1 (-1075 *3 *4 *5))
+   (-14 *3 (-783)) (-14 *4 (-783))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
+(((*1 *2 *3) (-12 (-5 *2 (-430 *3)) (-5 *1 (-570 *3)) (-4 *3 (-557))))
+ ((*1 *2 *3)
+  (-12 (-4 *4 (-805)) (-4 *5 (-861)) (-4 *6 (-317)) (-5 *2 (-430 *3))
+   (-5 *1 (-754 *4 *5 *6 *3)) (-4 *3 (-968 *6 *4 *5))))
+ ((*1 *2 *3)
+  (-12 (-4 *4 (-805)) (-4 *5 (-861)) (-4 *6 (-317))
+   (-4 *7 (-968 *6 *4 *5)) (-5 *2 (-430 (-1193 *7)))
+   (-5 *1 (-754 *4 *5 *6 *7)) (-5 *3 (-1193 *7))))
+ ((*1 *2 *1)
+  (-12 (-4 *3 (-464)) (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861))
+   (-5 *2 (-430 *1)) (-4 *1 (-968 *3 *4 *5))))
+ ((*1 *2 *3)
+  (-12 (-4 *4 (-861)) (-4 *5 (-805)) (-4 *6 (-464)) (-5 *2 (-430 *3))
+   (-5 *1 (-1000 *4 *5 *6 *3)) (-4 *3 (-968 *6 *5 *4))))
+ ((*1 *2 *3)
+  (-12 (-4 *4 (-805)) (-4 *5 (-861)) (-4 *6 (-464))
+   (-4 *7 (-968 *6 *4 *5)) (-5 *2 (-430 (-1193 (-419 *7))))
+   (-5 *1 (-1192 *4 *5 *6 *7)) (-5 *3 (-1193 (-419 *7)))))
+ ((*1 *2 *1) (-12 (-5 *2 (-430 *1)) (-4 *1 (-1242))))
+ ((*1 *2 *3)
+  (-12 (-4 *4 (-568)) (-5 *2 (-430 *3)) (-5 *1 (-1267 *4 *3))
+   (-4 *3 (-13 (-1264 *4) (-568) (-10 -8 (-15 -3498 ($ $ $)))))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-1067 *4 *5)) (-4 *4 (-13 (-860) (-317) (-148) (-1043)))
+   (-14 *5 (-656 (-1197)))
+   (-5 *2
+    (-656 (-1167 *4 (-543 (-878 *6)) (-878 *6) (-792 *4 (-878 *6)))))
+   (-5 *1 (-1315 *4 *5 *6)) (-14 *6 (-656 (-1197)))))) 
 (((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
    (-4 *2 (-13 (-442 *3) (-1023)))))
@@ -3054,31 +3072,78 @@
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))
  ((*1 *1 *1) (-4 *1 (-1226)))) 
-(((*1 *2 *1) (-12 (-4 *1 (-974)) (-5 *2 (-656 (-656 (-962 (-227)))))))
- ((*1 *2 *1) (-12 (-4 *1 (-995)) (-5 *2 (-656 (-656 (-962 (-227)))))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-576)) (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
-   (-5 *2 (-1293)) (-5 *1 (-461 *4 *5 *6 *7)) (-4 *7 (-968 *4 *5 *6))))) 
-(((*1 *1 *1 *2 *1) (-12 (-4 *1 (-1165)) (-5 *2 (-1255 (-576)))))) 
-(((*1 *2 *1 *1)
-  (-12 (-4 *3 (-374)) (-4 *3 (-1070))
-   (-5 *2 (-2 (|:| |coef1| *1) (|:| |coef2| *1) (|:| -4128 *1)))
-   (-4 *1 (-866 *3))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-1016 *2)) (-4 *2 (-1238))))) 
-(((*1 *2 *3 *3)
-  (-12 (-4 *4 (-13 (-317) (-148))) (-4 *5 (-13 (-861) (-626 (-1197))))
-   (-4 *6 (-805)) (-5 *2 (-656 (-656 (-576))))
-   (-5 *1 (-943 *4 *5 *6 *7)) (-5 *3 (-576)) (-4 *7 (-968 *4 *6 *5))))) 
+  (-12 (-5 *3 (-656 (-940))) (-5 *2 (-923 (-576))) (-5 *1 (-936))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-539)) (-5 *2 (-703 (-558)))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-260 *3 *4 *5 *6)) (-4 *3 (-1070)) (-4 *4 (-861))
+   (-4 *5 (-275 *4)) (-4 *6 (-805)) (-5 *2 (-783))))
+ ((*1 *2 *1 *3)
+  (-12 (-4 *1 (-260 *4 *3 *5 *6)) (-4 *4 (-1070)) (-4 *3 (-861))
+   (-4 *5 (-275 *3)) (-4 *6 (-805)) (-5 *2 (-783))))
+ ((*1 *2 *1) (-12 (-4 *1 (-275 *3)) (-4 *3 (-861)) (-5 *2 (-783))))
+ ((*1 *2 *1) (-12 (-4 *1 (-360)) (-5 *2 (-940))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-347 *4 *5 *6 *7)) (-4 *4 (-13 (-379) (-374)))
+   (-4 *5 (-1264 *4)) (-4 *6 (-1264 (-419 *5))) (-4 *7 (-353 *4 *5 *6))
+   (-5 *2 (-783)) (-5 *1 (-404 *4 *5 *6 *7))))
+ ((*1 *2 *1) (-12 (-4 *1 (-414)) (-5 *2 (-845 (-940)))))
+ ((*1 *2 *1) (-12 (-4 *1 (-416)) (-5 *2 (-576))))
+ ((*1 *2 *1 *2) (-12 (-5 *2 (-783)) (-5 *1 (-608 *3)) (-4 *3 (-1070))))
+ ((*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-608 *3)) (-4 *3 (-1070))))
+ ((*1 *2 *1)
+  (-12 (-4 *3 (-568)) (-5 *2 (-576)) (-5 *1 (-635 *3 *4))
+   (-4 *4 (-1264 *3))))
+ ((*1 *2 *1 *3 *2)
+  (-12 (-5 *2 (-783)) (-4 *1 (-752 *4 *3)) (-4 *4 (-1070))
+   (-4 *3 (-861))))
+ ((*1 *2 *1 *3)
+  (-12 (-4 *1 (-752 *4 *3)) (-4 *4 (-1070)) (-4 *3 (-861))
+   (-5 *2 (-783))))
+ ((*1 *2 *1) (-12 (-4 *1 (-883 *3)) (-5 *2 (-783))))
+ ((*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-923 *3)) (-4 *3 (-1121))))
+ ((*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-924 *3)) (-4 *3 (-1121))))
+ ((*1 *2 *3)
+  (|partial| -12 (-5 *3 (-347 *5 *6 *7 *8)) (-4 *5 (-442 *4))
+      (-4 *6 (-1264 *5)) (-4 *7 (-1264 (-419 *6)))
+      (-4 *8 (-353 *5 *6 *7)) (-4 *4 (-13 (-568) (-1059 (-576))))
+      (-5 *2 (-783)) (-5 *1 (-930 *4 *5 *6 *7 *8))))
+ ((*1 *2 *3)
+  (|partial| -12 (-5 *3 (-347 (-419 (-576)) *4 *5 *6))
+      (-4 *4 (-1264 (-419 (-576)))) (-4 *5 (-1264 (-419 *4)))
+      (-4 *6 (-353 (-419 (-576)) *4 *5)) (-5 *2 (-783))
+      (-5 *1 (-931 *4 *5 *6))))
+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *3 (-347 *6 *7 *4 *8)) (-5 *5 (-1 *9 *6)) (-4 *6 (-374))
+   (-4 *7 (-1264 *6)) (-4 *4 (-1264 (-419 *7))) (-4 *8 (-353 *6 *7 *4))
+   (-4 *9 (-13 (-379) (-374))) (-5 *2 (-783))
+   (-5 *1 (-1039 *6 *7 *4 *8 *9))))
+ ((*1 *2 *1 *1)
+  (-12 (-4 *1 (-1264 *3)) (-4 *3 (-1070)) (-4 *3 (-568))
+   (-5 *2 (-783))))
+ ((*1 *2 *1 *2)
+  (-12 (-4 *1 (-1266 *3 *2)) (-4 *3 (-1070)) (-4 *2 (-804))))
+ ((*1 *2 *1)
+  (-12 (-4 *1 (-1266 *3 *2)) (-4 *3 (-1070)) (-4 *2 (-804))))) 
+(((*1 *2 *3 *4 *5 *5 *5 *5 *6 *4 *4 *4 *4 *4 *5 *4 *5 *5 *4)
+  (-12 (-5 *3 (-1179)) (-5 *4 (-576)) (-5 *5 (-701 (-227)))
+   (-5 *6 (-227)) (-5 *2 (-1056)) (-5 *1 (-764))))) 
+(((*1 *2 *3 *2) (-12 (-5 *2 (-1056)) (-5 *3 (-1197)) (-5 *1 (-276))))) 
 (((*1 *2 *3)
-  (-12 (-4 *4 (-568)) (-4 *5 (-805)) (-4 *6 (-861))
-   (-4 *7 (-1086 *4 *5 *6))
-   (-5 *2 (-2 (|:| |goodPols| (-656 *7)) (|:| |badPols| (-656 *7))))
-   (-5 *1 (-998 *4 *5 *6 *7)) (-5 *3 (-656 *7))))) 
+  (-12 (-4 *4 (-568)) (-4 *2 (-13 (-442 (-171 *4)) (-1023) (-1223)))
+   (-5 *1 (-612 *4 *3 *2)) (-4 *3 (-13 (-442 *4) (-1023) (-1223)))))) 
+(((*1 *2 *3 *1)
+  (-12 (-5 *3 (-1288 *1)) (-4 *1 (-651 *4)) (-4 *4 (-1070))
+   (-5 *2 (-2 (|:| -2590 (-701 *4)) (|:| |vec| (-1288 *4))))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-1288 *1)) (-4 *1 (-651 *4)) (-4 *4 (-1070))
+   (-5 *2 (-701 *4))))) 
 (((*1 *2 *3 *3)
-  (-12 (-5 *2 (-656 *3)) (-5 *1 (-980 *3)) (-4 *3 (-557))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-576))) (-5 *2 (-923 (-576))) (-5 *1 (-936))))
- ((*1 *2) (-12 (-5 *2 (-923 (-576))) (-5 *1 (-936))))) 
+  (-12 (-4 *4 (-1070)) (-4 *2 (-699 *4 *5 *6))
+   (-5 *1 (-104 *4 *3 *2 *5 *6)) (-4 *3 (-1264 *4)) (-4 *5 (-384 *4))
+   (-4 *6 (-384 *4))))) 
+(((*1 *1 *2 *2)
+  (-12 (-5 *2 (-656 (-576))) (-5 *1 (-1025 *3)) (-14 *3 (-576))))) 
 (((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
    (-4 *2 (-13 (-442 *3) (-1023)))))
@@ -3095,29 +3160,38 @@
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))
  ((*1 *1 *1) (-4 *1 (-1226)))) 
-(((*1 *2) (-12 (-5 *2 (-656 (-783))) (-5 *1 (-1291))))
- ((*1 *2 *2) (-12 (-5 *2 (-656 (-783))) (-5 *1 (-1291))))) 
-(((*1 *1 *1 *1) (-12 (-4 *1 (-866 *2)) (-4 *2 (-1070)) (-4 *2 (-374))))) 
-(((*1 *2) (-12 (-5 *2 (-940)) (-5 *1 (-713))))
- ((*1 *2 *2) (-12 (-5 *2 (-940)) (-5 *1 (-713))))) 
-(((*1 *2 *2 *3)
-  (-12 (-5 *3 (-1197)) (-4 *4 (-568)) (-5 *1 (-159 *4 *2))
-   (-4 *2 (-442 *4))))
- ((*1 *2 *2 *3)
-  (-12 (-5 *3 (-1113 *2)) (-4 *2 (-442 *4)) (-4 *4 (-568))
-   (-5 *1 (-159 *4 *2))))
- ((*1 *1 *1 *2) (-12 (-5 *2 (-1113 *1)) (-4 *1 (-161))))
- ((*1 *1 *1 *2) (-12 (-4 *1 (-161)) (-5 *2 (-1197))))) 
-(((*1 *2 *1 *1) (-12 (-4 *1 (-557)) (-5 *2 (-112))))) 
-(((*1 *2 *2) (|partial| -12 (-4 *1 (-1004 *2)) (-4 *2 (-1223))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *4 (-1197))
-   (-4 *5 (-13 (-464) (-148) (-1059 (-576)) (-651 (-576))))
-   (-5 *2 (-598 *3)) (-5 *1 (-569 *5 *3))
-   (-4 *3 (-13 (-27) (-1223) (-442 *5)))))) 
+(((*1 *1 *1 *1)
+  (-12 (-4 *1 (-1086 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-805))
+   (-4 *4 (-861))))
+ ((*1 *2 *2 *1)
+  (-12 (-4 *1 (-1231 *3 *4 *5 *2)) (-4 *3 (-568)) (-4 *4 (-805))
+   (-4 *5 (-861)) (-4 *2 (-1086 *3 *4 *5))))) 
+(((*1 *2 *3 *4 *5 *6)
+  (-12 (-5 *6 (-940)) (-4 *5 (-317)) (-4 *3 (-1264 *5))
+   (-5 *2 (-2 (|:| |plist| (-656 *3)) (|:| |modulo| *5)))
+   (-5 *1 (-472 *5 *3)) (-5 *4 (-656 *3))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-656 *2)) (-4 *2 (-1264 *4)) (-5 *1 (-551 *4 *2 *5 *6))
-   (-4 *4 (-317)) (-14 *5 *4) (-14 *6 (-1 *4 *4 (-783)))))) 
+  (-12 (-4 *4 (-1070))
+   (-4 *2 (-13 (-416) (-1059 *4) (-374) (-1223) (-294)))
+   (-5 *1 (-455 *4 *3 *2)) (-4 *3 (-1264 *4))))) 
+(((*1 *1 *1 *2) (-12 (-5 *2 (-1 (-112) (-115) (-115))) (-5 *1 (-115))))) 
+(((*1 *1 *2 *3)
+  (-12 (-5 *2 (-1047 (-855 (-576))))
+   (-5 *3 (-1178 (-2 (|:| |k| (-576)) (|:| |c| *4)))) (-4 *4 (-1070))
+   (-5 *1 (-607 *4))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-158)) (-5 *1 (-888))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-568)) (-4 *5 (-805)) (-4 *6 (-861))
+   (-4 *7 (-1086 *4 *5 *6))
+   (-5 *2 (-2 (|:| |goodPols| (-656 *7)) (|:| |badPols| (-656 *7))))
+   (-5 *1 (-998 *4 *5 *6 *7)) (-5 *3 (-656 *7))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-701 (-419 (-576))))
+   (-5 *2
+    (-656
+     (-2 (|:| |outval| *4) (|:| |outmult| (-576))
+      (|:| |outvect| (-656 (-701 *4))))))
+   (-5 *1 (-791 *4)) (-4 *4 (-13 (-374) (-860)))))) 
 (((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
    (-4 *2 (-13 (-442 *3) (-1023)))))
@@ -3137,49 +3211,20 @@
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))
  ((*1 *1 *1) (-4 *1 (-1226)))) 
-(((*1 *2 *3 *4 *3 *4 *4 *4 *4 *4)
-  (-12 (-5 *3 (-701 (-227))) (-5 *4 (-576)) (-5 *2 (-1056))
-   (-5 *1 (-767))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *4 (-783)) (-4 *5 (-1070)) (-5 *2 (-576))
-   (-5 *1 (-455 *5 *3 *6)) (-4 *3 (-1264 *5))
-   (-4 *6 (-13 (-416) (-1059 *5) (-374) (-1223) (-294)))))
- ((*1 *2 *3)
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- ((*1 *2 *3)
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-(((*1 *2 *3 *4 *5 *6)
-  (-12 (-5 *5 (-656 (-656 (-3 (|:| |array| *6) (|:| |scalar| *3)))))
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-   (-5 *6 (-656 (-1197))) (-5 *3 (-1197)) (-5 *2 (-1125))
-   (-5 *1 (-409))))
- ((*1 *2 *3 *4 *5 *6 *3)
-  (-12 (-5 *5 (-656 (-656 (-3 (|:| |array| *6) (|:| |scalar| *3)))))
-   (-5 *4 (-656 (-3 (|:| |array| (-656 *3)) (|:| |scalar| (-1197)))))
-   (-5 *6 (-656 (-1197))) (-5 *3 (-1197)) (-5 *2 (-1125))
-   (-5 *1 (-409))))
- ((*1 *2 *3 *4 *5 *4)
-  (-12 (-5 *4 (-656 (-1197))) (-5 *5 (-1200)) (-5 *3 (-1197))
-   (-5 *2 (-1125)) (-5 *1 (-409))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1238)) (-4 *4 (-384 *3))
+   (-4 *5 (-384 *3)) (-5 *2 (-576))))
+ ((*1 *2 *1)
+  (-12 (-4 *1 (-1074 *3 *4 *5 *6 *7)) (-4 *5 (-1070))
+   (-4 *6 (-243 *4 *5)) (-4 *7 (-243 *3 *5)) (-5 *2 (-576))))) 
+(((*1 *2)
+  (-12 (-4 *3 (-568)) (-5 *2 (-656 *4)) (-5 *1 (-43 *3 *4))
+   (-4 *4 (-429 *3))))) 
+(((*1 *2) (-12 (-5 *2 (-1293)) (-5 *1 (-1240))))) 
+(((*1 *2)
+  (-12 (-4 *4 (-174)) (-5 *2 (-112)) (-5 *1 (-377 *3 *4))
+   (-4 *3 (-378 *4))))
+ ((*1 *2) (-12 (-4 *1 (-378 *3)) (-4 *3 (-174)) (-5 *2 (-112))))) 
 (((*1 *2 *2 *3)
   (-12 (-5 *3 (-1197))
    (-4 *4 (-13 (-317) (-1059 (-576)) (-651 (-576)) (-148)))
@@ -3188,27 +3233,18 @@
  ((*1 *1 *1) (-5 *1 (-876)))
  ((*1 *2 *3)
   (-12 (-5 *2 (-1178 *3)) (-5 *1 (-1181 *3)) (-4 *3 (-1070))))) 
-(((*1 *2 *1)
-  (-12 (-5 *2 (-419 (-971 *3))) (-5 *1 (-465 *3 *4 *5 *6))
-   (-4 *3 (-568)) (-4 *3 (-174)) (-14 *4 (-940))
-   (-14 *5 (-656 (-1197))) (-14 *6 (-1288 (-701 *3)))))) 
+(((*1 *2)
+  (-12 (-5 *2 (-112)) (-5 *1 (-454 *3)) (-4 *3 (-1264 (-576)))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-390)) (-5 *1 (-1290))))
+ ((*1 *2) (-12 (-5 *2 (-390)) (-5 *1 (-1290))))) 
 (((*1 *1 *1 *1) (-4 *1 (-557)))) 
+(((*1 *2 *1 *3) (-12 (-5 *3 (-518)) (-5 *2 (-112)) (-5 *1 (-115))))) 
 (((*1 *2 *1)
-  (-12 (-5 *2 (-112)) (-5 *1 (-1185 *3 *4)) (-14 *3 (-940))
-   (-4 *4 (-1070))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *2 (-656 (-171 *4))) (-5 *1 (-156 *3 *4))
-   (-4 *3 (-1264 (-171 (-576)))) (-4 *4 (-13 (-374) (-860)))))
- ((*1 *2 *3)
-  (-12 (-4 *4 (-13 (-374) (-860))) (-5 *2 (-656 (-171 *4)))
-   (-5 *1 (-183 *4 *3)) (-4 *3 (-1264 (-171 *4)))))
- ((*1 *2 *3 *4)
-  (-12 (-4 *4 (-13 (-374) (-860))) (-5 *2 (-656 (-171 *4)))
-   (-5 *1 (-183 *4 *3)) (-4 *3 (-1264 (-171 *4)))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-1179)) (-5 *1 (-1216))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-656 *2)) (-4 *2 (-442 *4)) (-5 *1 (-159 *4 *2))
-   (-4 *4 (-568))))) 
+  (-12 (-4 *1 (-1231 *3 *4 *5 *6)) (-4 *3 (-568)) (-4 *4 (-805))
+   (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5)) (-4 *5 (-379))
+   (-5 *2 (-783))))) 
+(((*1 *2 *1)
+  (-12 (-4 *2 (-720 *3)) (-5 *1 (-839 *2 *3)) (-4 *3 (-1070))))) 
 (((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
    (-4 *2 (-13 (-442 *3) (-1023)))))
@@ -3229,81 +3265,69 @@
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))
  ((*1 *1 *1) (-4 *1 (-1226)))) 
+(((*1 *2 *3 *3 *3)
+  (-12 (-5 *3 (-656 (-576))) (-5 *2 (-701 (-576))) (-5 *1 (-1131))))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *3 (-665 (-419 *6))) (-5 *4 (-1 (-656 *5) *6))
-   (-4 *5 (-13 (-374) (-148) (-1059 (-576)) (-1059 (-419 (-576)))))
-   (-4 *6 (-1264 *5)) (-5 *2 (-656 (-419 *6))) (-5 *1 (-824 *5 *6))))
- ((*1 *2 *3 *4 *5)
-  (-12 (-5 *3 (-665 (-419 *7))) (-5 *4 (-1 (-656 *6) *7))
-   (-5 *5 (-1 (-430 *7) *7))
-   (-4 *6 (-13 (-374) (-148) (-1059 (-576)) (-1059 (-419 (-576)))))
-   (-4 *7 (-1264 *6)) (-5 *2 (-656 (-419 *7))) (-5 *1 (-824 *6 *7))))
+  (-12 (-4 *5 (-1121)) (-4 *6 (-901 *5)) (-5 *2 (-900 *5 *6 (-656 *6)))
+   (-5 *1 (-902 *5 *6 *4)) (-5 *3 (-656 *6)) (-4 *4 (-626 (-907 *5)))))
  ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-666 *6 (-419 *6))) (-5 *4 (-1 (-656 *5) *6))
-   (-4 *5 (-13 (-374) (-148) (-1059 (-576)) (-1059 (-419 (-576)))))
-   (-4 *6 (-1264 *5)) (-5 *2 (-656 (-419 *6))) (-5 *1 (-824 *5 *6))))
- ((*1 *2 *3 *4 *5)
-  (-12 (-5 *3 (-666 *7 (-419 *7))) (-5 *4 (-1 (-656 *6) *7))
-   (-5 *5 (-1 (-430 *7) *7))
-   (-4 *6 (-13 (-374) (-148) (-1059 (-576)) (-1059 (-419 (-576)))))
-   (-4 *7 (-1264 *6)) (-5 *2 (-656 (-419 *7))) (-5 *1 (-824 *6 *7))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-665 (-419 *5))) (-4 *5 (-1264 *4)) (-4 *4 (-27))
-   (-4 *4 (-13 (-374) (-148) (-1059 (-576)) (-1059 (-419 (-576)))))
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+  (-12 (-4 *5 (-1121)) (-5 *2 (-656 (-304 *3))) (-5 *1 (-902 *5 *3 *4))
+   (-4 *3 (-1059 (-1197))) (-4 *3 (-901 *5)) (-4 *4 (-626 (-907 *5)))))
  ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-665 (-419 *6))) (-5 *4 (-1 (-430 *6) *6))
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-   (-4 *4 (-13 (-374) (-148) (-1059 (-576)) (-1059 (-419 (-576)))))
-   (-5 *2 (-656 (-419 *5))) (-5 *1 (-824 *4 *5))))
+  (-12 (-4 *5 (-1121)) (-5 *2 (-656 (-304 (-971 *3))))
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+   (-4 *4 (-626 (-907 *5)))))
  ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-666 *6 (-419 *6))) (-5 *4 (-1 (-430 *6) *6))
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-(((*1 *2 *3 *4 *5 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *5 (-227))
-   (-5 *2 (-1056)) (-5 *1 (-764))))) 
-(((*1 *2 *1 *3 *3)
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-(((*1 *2 *3)
-  (-12
-   (-5 *3
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-     (|:| |polj| *7)))
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-  (|partial| -12 (-5 *4 (-1 *7 *7)) (-5 *5 (-656 (-419 *7)))
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-      (-5 *2
-       (-2 (|:| |mainpart| *3)
-        (|:| |limitedlogs|
-             (-656 (-2 (|:| |coeff| *3) (|:| |logand| *3))))))
-      (-5 *1 (-586 *6 *7))))) 
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+ ((*1 *1) (-5 *1 (-130)))
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 (((*1 *1 *1) (-12 (-5 *1 (-512 *2)) (-14 *2 (-576))))
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-(((*1 *2 *1) (-12 (-4 *1 (-401)) (-5 *2 (-1179))))) 
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+  (-12 (-5 *3 (-656 *7)) (-4 *7 (-1086 *4 *5 *6)) (-4 *4 (-568))
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+   (-5 *1 (-1301 *4 *5 *6 *7))))
+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *3 (-656 *9)) (-5 *4 (-1 (-112) *9 *9))
+   (-5 *5 (-1 *9 *9 *9)) (-4 *9 (-1086 *6 *7 *8)) (-4 *6 (-568))
+   (-4 *7 (-805)) (-4 *8 (-861)) (-5 *2 (-656 (-1301 *6 *7 *8 *9)))
+   (-5 *1 (-1301 *6 *7 *8 *9))))) 
+(((*1 *2 *1 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-1290))))) 
+(((*1 *2 *3 *4)
+  (-12 (-4 *5 (-805)) (-4 *4 (-861)) (-4 *6 (-317)) (-5 *2 (-430 *3))
+   (-5 *1 (-754 *5 *4 *6 *3)) (-4 *3 (-968 *6 *5 *4))))) 
+(((*1 *2 *2)
+  (-12 (-5 *2 (-656 *6)) (-4 *6 (-968 *3 *4 *5)) (-4 *3 (-317))
+   (-4 *4 (-805)) (-4 *5 (-861)) (-5 *1 (-459 *3 *4 *5 *6))))
+ ((*1 *2 *2 *3)
+  (-12 (-5 *2 (-656 *7)) (-5 *3 (-1179)) (-4 *7 (-968 *4 *5 *6))
+   (-4 *4 (-317)) (-4 *5 (-805)) (-4 *6 (-861))
+   (-5 *1 (-459 *4 *5 *6 *7))))
+ ((*1 *2 *2 *3 *3)
+  (-12 (-5 *2 (-656 *7)) (-5 *3 (-1179)) (-4 *7 (-968 *4 *5 *6))
+   (-4 *4 (-317)) (-4 *5 (-805)) (-4 *6 (-861))
+   (-5 *1 (-459 *4 *5 *6 *7))))) 
 (((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
    (-4 *2 (-13 (-442 *3) (-1023)))))
@@ -3324,550 +3348,697 @@
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))
  ((*1 *1 *1) (-4 *1 (-1226)))) 
-(((*1 *2 *1)
-  (-12 (-4 *1 (-1305 *3 *4)) (-4 *3 (-861)) (-4 *4 (-1070))
-   (-5 *2 (-831 *3))))
- ((*1 *2 *1)
-  (-12 (-4 *2 (-858)) (-5 *1 (-1311 *3 *2)) (-4 *3 (-1070))))) 
 (((*1 *2 *2)
-  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
-   (-4 *2 (-13 (-442 *3) (-1023)))))) 
-(((*1 *2 *3 *3 *3 *3 *3 *4 *4 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
-   (-5 *1 (-767))))) 
-(((*1 *2 *2)
-  (|partial| -12 (-4 *3 (-1238)) (-5 *1 (-184 *3 *2))
-      (-4 *2 (-686 *3))))) 
-(((*1 *2) (-12 (-5 *2 (-1179)) (-5 *1 (-1207))))) 
-(((*1 *2 *3 *2) (-12 (-5 *3 (-783)) (-5 *1 (-870 *2)) (-4 *2 (-174))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-907 *3)) (-4 *3 (-1121))))) 
+  (-12 (-4 *3 (-13 (-568) (-1059 (-576)))) (-5 *1 (-190 *3 *2))
+   (-4 *2 (-13 (-27) (-1223) (-442 (-171 *3))))))
+ ((*1 *2 *2)
+  (-12 (-4 *3 (-13 (-464) (-1059 (-576)) (-651 (-576))))
+   (-5 *1 (-1227 *3 *2)) (-4 *2 (-13 (-27) (-1223) (-442 *3)))))) 
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+   (-14 *3 (-940))))) 
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 (((*1 *1 *1 *1) (-12 (-5 *1 (-512 *2)) (-14 *2 (-576))))
  ((*1 *1 *1 *1) (-5 *1 (-1141)))) 
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 (((*1 *1 *1) (-4 *1 (-641)))
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 (((*1 *1) (-5 *1 (-629)))) 
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+      (-5 *2
+       (-2 (|:| |mainpart| *3)
+        (|:| |limitedlogs|
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+   (-5 *2 (-971 *5)) (-5 *1 (-963 *4 *5))))) 
+(((*1 *2 *1 *1) (-12 (-5 *2 (-576)) (-5 *1 (-390))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-1179)) (-5 *2 (-216 (-514))) (-5 *1 (-849))))) 
 (((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
    (-4 *2 (-13 (-442 *3) (-1023)))))
@@ -3900,42 +4071,28 @@
  ((*1 *1 *1 *2)
   (-12 (-5 *2 (-783)) (-5 *1 (-1308 *3 *4))
    (-4 *4 (-729 (-419 (-576)))) (-4 *3 (-861)) (-4 *4 (-174))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-834)) (-5 *1 (-833))))) 
+(((*1 *2 *1)
+  (|partial| -12 (-5 *2 (-1197)) (-5 *1 (-624 *3)) (-4 *3 (-1121))))) 
 (((*1 *2 *3)
-  (-12 (-4 *4 (-13 (-568) (-148))) (-5 *2 (-656 *3))
-   (-5 *1 (-1258 *4 *3)) (-4 *3 (-1264 *4))))) 
-(((*1 *1 *2)
-  (-12 (-5 *2 (-1185 3 *3)) (-4 *3 (-1070)) (-4 *1 (-1155 *3))))
- ((*1 *1) (-12 (-4 *1 (-1155 *2)) (-4 *2 (-1070))))) 
-(((*1 *2 *3 *3)
-  (-12 (-4 *4 (-832)) (-14 *5 (-1197)) (-5 *2 (-656 (-1261 *5 *4)))
-   (-5 *1 (-1135 *4 *5)) (-5 *3 (-1261 *5 *4))))) 
-(((*1 *2 *3 *4 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
-   (-5 *1 (-759))))) 
-(((*1 *2 *1 *3)
-  (-12 (-4 *1 (-922 *3)) (-4 *3 (-1121)) (-5 *2 (-1123 *3))))
- ((*1 *2 *1 *3)
-  (-12 (-4 *4 (-1121)) (-5 *2 (-1123 (-656 *4))) (-5 *1 (-923 *4))
-   (-5 *3 (-656 *4))))
- ((*1 *2 *1 *3)
-  (-12 (-4 *4 (-1121)) (-5 *2 (-1123 (-1123 *4))) (-5 *1 (-923 *4))
-   (-5 *3 (-1123 *4))))
- ((*1 *2 *1 *3)
-  (-12 (-5 *2 (-1123 *3)) (-5 *1 (-923 *3)) (-4 *3 (-1121))))) 
-(((*1 *2 *1 *3) (-12 (-5 *3 (-576)) (-5 *2 (-1293)) (-5 *1 (-834))))) 
+  (-12 (-5 *3 (-656 (-656 (-656 *4)))) (-5 *2 (-656 (-656 *4)))
+   (-5 *1 (-1208 *4)) (-4 *4 (-861))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-1121)) (-4 *1 (-922 *3))))) 
+(((*1 *2) (-12 (-5 *2 (-940)) (-5 *1 (-1291))))
+ ((*1 *2 *2) (-12 (-5 *2 (-940)) (-5 *1 (-1291))))) 
+(((*1 *1 *2 *3 *3 *3)
+  (-12 (-5 *2 (-1197)) (-5 *3 (-112)) (-5 *1 (-907 *4))
+   (-4 *4 (-1121))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-974)) (-5 *2 (-656 (-656 (-962 (-227)))))))
+ ((*1 *2 *1) (-12 (-4 *1 (-995)) (-5 *2 (-656 (-656 (-962 (-227)))))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-2 (|:| |deg| (-783)) (|:| -3329 *5))))
-   (-4 *5 (-1264 *4)) (-4 *4 (-360)) (-5 *2 (-656 *5))
-   (-5 *1 (-218 *4 *5))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 (-2 (|:| -1828 *5) (|:| -3600 (-576)))))
-   (-5 *4 (-576)) (-4 *5 (-1264 *4)) (-5 *2 (-656 *5))
-   (-5 *1 (-708 *5))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-115))))) 
-(((*1 *2 *1 *1)
-  (-12 (-5 *2 (-656 (-304 *4))) (-5 *1 (-639 *3 *4 *5)) (-4 *3 (-861))
-   (-4 *4 (-13 (-174) (-729 (-419 (-576))))) (-14 *5 (-940))))) 
+  (-12 (-4 *4 (-13 (-568) (-1059 (-576)))) (-4 *5 (-442 *4))
+   (-5 *2 (-430 *3)) (-5 *1 (-447 *4 *5 *3)) (-4 *3 (-1264 *5))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-834))))) 
+(((*1 *1 *2)
+  (|partial| -12 (-5 *2 (-831 *3)) (-4 *3 (-861)) (-5 *1 (-684 *3))))) 
+(((*1 *1)
+  (-12 (-5 *1 (-137 *2 *3 *4)) (-14 *2 (-576)) (-14 *3 (-783))
+   (-4 *4 (-174))))) 
 (((*1 *2 *1)
   (-12 (-5 *2 (-783)) (-5 *1 (-137 *3 *4 *5)) (-14 *3 (-576))
    (-14 *4 *2) (-4 *5 (-174))))
@@ -3953,8 +4110,8 @@
   (-12 (-5 *3 (-701 *5)) (-5 *4 (-1288 *5)) (-4 *5 (-374))
    (-5 *2 (-783)) (-5 *1 (-679 *5))))
  ((*1 *2 *3 *4)
-  (-12 (-4 *5 (-374)) (-4 *6 (-13 (-384 *5) (-10 -7 (-6 -4465))))
-   (-4 *4 (-13 (-384 *5) (-10 -7 (-6 -4465)))) (-5 *2 (-783))
+  (-12 (-4 *5 (-374)) (-4 *6 (-13 (-384 *5) (-10 -7 (-6 -4466))))
+   (-4 *4 (-13 (-384 *5) (-10 -7 (-6 -4466)))) (-5 *2 (-783))
    (-5 *1 (-680 *5 *6 *4 *3)) (-4 *3 (-699 *5 *6 *4))))
  ((*1 *2 *1)
   (-12 (-4 *1 (-699 *3 *4 *5)) (-4 *3 (-1070)) (-4 *4 (-384 *3))
@@ -3967,198 +4124,177 @@
   (-12 (-4 *1 (-1074 *3 *4 *5 *6 *7)) (-4 *5 (-1070))
    (-4 *6 (-243 *4 *5)) (-4 *7 (-243 *3 *5)) (-4 *5 (-568))
    (-5 *2 (-783))))) 
-(((*1 *2 *3 *4 *4 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
-   (-5 *1 (-763))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 *6)) (-5 *4 (-656 (-1178 *7))) (-4 *6 (-861))
-   (-4 *7 (-968 *5 (-543 *6) *6)) (-4 *5 (-1070))
-   (-5 *2 (-1 (-1178 *7) *7)) (-5 *1 (-1147 *5 *6 *7))))) 
-(((*1 *2)
-  (-12 (-5 *2 (-419 (-971 *3))) (-5 *1 (-465 *3 *4 *5 *6))
-   (-4 *3 (-568)) (-4 *3 (-174)) (-14 *4 (-940))
-   (-14 *5 (-656 (-1197))) (-14 *6 (-1288 (-701 *3)))))) 
+(((*1 *2 *3 *4 *5 *5 *5 *6 *4 *4 *4 *5 *4 *5 *7)
+  (-12 (-5 *3 (-1179)) (-5 *5 (-701 (-227))) (-5 *6 (-227))
+   (-5 *7 (-701 (-576))) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-764))))) 
 (((*1 *2 *1)
-  (-12 (-5 *2 (-656 (-576))) (-5 *1 (-1025 *3)) (-14 *3 (-576))))) 
-(((*1 *2 *3 *3 *3 *4 *5 *3 *5 *3)
-  (-12 (-5 *3 (-576)) (-5 *5 (-701 (-227))) (-5 *4 (-227))
-   (-5 *2 (-1056)) (-5 *1 (-765))))) 
+  (-12 (-4 *1 (-1155 *3)) (-4 *3 (-1070)) (-5 *2 (-1185 3 *3))))
+ ((*1 *1) (-12 (-5 *1 (-1185 *2 *3)) (-14 *2 (-940)) (-4 *3 (-1070))))
+ ((*1 *1 *1 *2) (-12 (-5 *2 (-1154 (-227))) (-5 *1 (-1290))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1154 (-227))) (-5 *1 (-1290))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 (-270))) (-5 *4 (-1197)) (-5 *2 (-112))
+   (-5 *1 (-270))))) 
+(((*1 *1) (-5 *1 (-835)))) 
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 (((*1 *1 *1 *2) (-12 (-5 *2 (-656 (-1197))) (-5 *1 (-548))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-876)) (-5 *2 (-1179)) (-5 *1 (-722))))) 
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+(((*1 *1) (-5 *1 (-1084)))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-576)) (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
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+  (-12 (-5 *3 (-656 *5)) (-5 *4 (-940)) (-4 *5 (-861))
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+(((*1 *2 *3 *2)
+  (-12 (-4 *2 (-13 (-374) (-860))) (-5 *1 (-183 *2 *3))
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  ((*1 *2 *3)
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-(((*1 *2 *3 *3 *4 *5 *5 *3)
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 (((*1 *2 *3 *1)
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 (((*1 *2 *1)
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 (((*1 *2 *3)
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 (((*1 *2 *1)
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 (((*1 *2 *3)
-  (-12
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 (((*1 *2 *3)
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 (((*1 *2 *3 *3)
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+       (|:| |limitedlogs|
+            (-656 (-2 (|:| |coeff| *4) (|:| |logand| *4)))))
+      "failed")
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+    (-1 (-3 (-2 (|:| -1698 *4) (|:| |coeff| *4)) "failed") *4 *4))
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+   (-5 *2 (-2 (|:| |ans| *4) (|:| -4250 *4) (|:| |sol?| (-112))))
+   (-5 *1 (-1034 *8 *4))))) 
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+   (-4 *3 (-378 *4))))
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 (((*1 *2 *3)
-  (-12 (-4 *4 (-568)) (-5 *2 (-783)) (-5 *1 (-43 *4 *3))
-   (-4 *3 (-429 *4))))) 
+  (-12 (-5 *3 (-656 (-576))) (-5 *2 (-923 (-576))) (-5 *1 (-936))))
+ ((*1 *2) (-12 (-5 *2 (-923 (-576))) (-5 *1 (-936))))) 
+(((*1 *1 *1)
+  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
 (((*1 *1 *1) (-5 *1 (-48)))
  ((*1 *2 *3 *4 *2)
   (-12 (-5 *3 (-1 *2 *5 *2)) (-5 *4 (-59 *5)) (-4 *5 (-1238))
    (-4 *2 (-1238)) (-5 *1 (-58 *5 *2))))
  ((*1 *2 *3 *1 *2 *2)
-  (-12 (-5 *3 (-1 *2 *2 *2)) (-4 *2 (-1121)) (|has| *1 (-6 -4464))
+  (-12 (-5 *3 (-1 *2 *2 *2)) (-4 *2 (-1121)) (|has| *1 (-6 -4465))
    (-4 *1 (-152 *2)) (-4 *2 (-1238))))
  ((*1 *2 *3 *1 *2)
-  (-12 (-5 *3 (-1 *2 *2 *2)) (|has| *1 (-6 -4464)) (-4 *1 (-152 *2))
+  (-12 (-5 *3 (-1 *2 *2 *2)) (|has| *1 (-6 -4465)) (-4 *1 (-152 *2))
    (-4 *2 (-1238))))
  ((*1 *2 *3 *1)
-  (-12 (-5 *3 (-1 *2 *2 *2)) (|has| *1 (-6 -4464)) (-4 *1 (-152 *2))
+  (-12 (-5 *3 (-1 *2 *2 *2)) (|has| *1 (-6 -4465)) (-4 *1 (-152 *2))
    (-4 *2 (-1238))))
  ((*1 *2 *3)
   (-12 (-4 *4 (-1070))
-   (-5 *2 (-2 (|:| -4326 (-1193 *4)) (|:| |deg| (-940))))
+   (-5 *2 (-2 (|:| -3307 (-1193 *4)) (|:| |deg| (-940))))
    (-5 *1 (-223 *4 *5)) (-5 *3 (-1193 *4)) (-4 *5 (-568))))
  ((*1 *2 *3 *4 *2)
   (-12 (-5 *3 (-1 *2 *6 *2)) (-5 *4 (-245 *5 *6)) (-14 *5 (-783))
@@ -4233,68 +4369,46 @@
  ((*1 *1 *2 *3)
   (-12 (-5 *2 (-831 *4)) (-4 *4 (-861)) (-4 *1 (-1305 *4 *3))
    (-4 *3 (-1070))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-834))))) 
-(((*1 *2 *2) (|partial| -12 (-4 *1 (-1004 *2)) (-4 *2 (-1223))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *4 (-656 *5)) (-4 *5 (-1264 *3)) (-4 *3 (-317))
-   (-5 *2 (-112)) (-5 *1 (-467 *3 *5))))) 
+(((*1 *2 *1 *1)
+  (-12 (-4 *3 (-568)) (-4 *3 (-1070))
+   (-5 *2 (-2 (|:| -2715 *1) (|:| -3624 *1))) (-4 *1 (-866 *3))))
+ ((*1 *2 *3 *3 *4)
+  (-12 (-5 *4 (-99 *5)) (-4 *5 (-568)) (-4 *5 (-1070))
+   (-5 *2 (-2 (|:| -2715 *3) (|:| -3624 *3))) (-5 *1 (-867 *5 *3))
+   (-4 *3 (-866 *5))))) 
+(((*1 *1 *1) (-5 *1 (-1084)))) 
+(((*1 *2 *2)
+  (|partial| -12 (-5 *2 (-1193 *3)) (-4 *3 (-360)) (-5 *1 (-368 *3))))) 
 (((*1 *1 *2) (-12 (-5 *2 (-656 *1)) (-4 *1 (-312))))
  ((*1 *1 *1) (-4 *1 (-312))) ((*1 *1 *1) (-5 *1 (-876)))) 
 (((*1 *2 *3)
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-   (-5 *1 (-190 *4 *3)) (-4 *3 (-13 (-27) (-1223) (-442 (-171 *4))))))
- ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-446))))
- ((*1 *2 *3)
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-(((*1 *1 *2) (-12 (-5 *2 (-1179)) (-5 *1 (-589))))
- ((*1 *1 *2) (-12 (-5 *2 (-400)) (-5 *1 (-589))))) 
+  (-12 (-5 *3 (-1178 (-1178 *4))) (-5 *2 (-1178 *4)) (-5 *1 (-1181 *4))
+   (-4 *4 (-38 (-419 (-576)))) (-4 *4 (-1070))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-888)) (-5 *1 (-270))))
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 (((*1 *2 *3)
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+(((*1 *2 *3)
+  (-12 (-4 *4 (-861)) (-5 *2 (-656 (-656 (-656 *4))))
+   (-5 *1 (-1208 *4)) (-5 *3 (-656 (-656 *4)))))) 
 (((*1 *2 *3 *4)
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-   (-4 *6 (-464))))
+  (|partial| -12 (-5 *4 (-419 *2)) (-4 *2 (-1264 *5))
+      (-5 *1 (-819 *5 *2 *3 *6))
+      (-4 *5 (-13 (-374) (-148) (-1059 (-419 (-576)))))
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  ((*1 *2 *3 *4)
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-(((*1 *2 *3 *4 *5 *6 *5 *3 *7)
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-   (-5 *6
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-   (-5 *7 (-1 (-1293) (-1288 *5) (-1288 *5) (-390)))
-   (-5 *3 (-1288 (-390))) (-5 *5 (-390)) (-5 *2 (-1293))
-   (-5 *1 (-800))))
- ((*1 *2 *3 *4 *5 *6 *5 *3 *7 *3 *3 *3 *3 *3 *3 *3)
-  (-12 (-5 *4 (-576))
-   (-5 *6
-    (-2 (|:| |try| (-390)) (|:| |did| (-390)) (|:| -4295 (-390))))
-   (-5 *7 (-1 (-1293) (-1288 *5) (-1288 *5) (-390)))
-   (-5 *3 (-1288 (-390))) (-5 *5 (-390)) (-5 *2 (-1293))
-   (-5 *1 (-800))))) 
+  (-12 (-5 *4 (-656 (-419 *2))) (-4 *2 (-1264 *5))
+   (-5 *1 (-819 *5 *2 *3 *6))
+   (-4 *5 (-13 (-374) (-148) (-1059 (-419 (-576))))) (-4 *3 (-668 *2))
+   (-4 *6 (-668 (-419 *2)))))) 
 (((*1 *2 *3 *4)
   (-12 (-5 *4 (-624 *6)) (-4 *6 (-13 (-442 *5) (-27) (-1223)))
    (-4 *5 (-13 (-464) (-1059 (-576)) (-148) (-651 (-576))))
@@ -4314,61 +4428,55 @@
   (-12 (-4 *2 (-968 *3 *4 *5)) (-5 *1 (-1055 *3 *4 *5 *2 *6))
    (-4 *3 (-374)) (-4 *4 (-805)) (-4 *5 (-861)) (-14 *6 (-656 *2))))) 
 (((*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-861)) (-5 *1 (-250 *3))))) 
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-  (-12 (-5 *4 (-656 *10)) (-5 *5 (-112)) (-4 *10 (-1092 *6 *7 *8 *9))
-   (-4 *6 (-464)) (-4 *7 (-805)) (-4 *8 (-861))
-   (-4 *9 (-1086 *6 *7 *8))
-   (-5 *2
-    (-656
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-   (-5 *1 (-1009 *6 *7 *8 *9 *10)) (-5 *3 (-656 *9))))
- ((*1 *2 *3 *4 *5 *5)
-  (-12 (-5 *4 (-656 *10)) (-5 *5 (-112)) (-4 *10 (-1092 *6 *7 *8 *9))
-   (-4 *6 (-464)) (-4 *7 (-805)) (-4 *8 (-861))
-   (-4 *9 (-1086 *6 *7 *8))
-   (-5 *2
-    (-656
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-   (-5 *1 (-1128 *6 *7 *8 *9 *10)) (-5 *3 (-656 *9))))) 
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- ((*1 *2 *3) (-12 (-5 *3 (-971 *1)) (-4 *1 (-27)) (-5 *2 (-656 *1))))
- ((*1 *2 *1 *3)
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-   (-4 *1 (-29 *4))))
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- ((*1 *2 *3 *4 *5)
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+(((*1 *2)
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+   (-5 *2 (-656 (-656 *4))) (-5 *1 (-352 *3 *4 *5 *6))
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+ ((*1 *2)
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 (((*1 *2 *1)
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-(((*1 *2 *3 *1)
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+  (-12 (-4 *1 (-333 *3 *4)) (-4 *3 (-1121)) (-4 *4 (-132))
+   (-5 *2 (-656 (-2 (|:| |gen| *3) (|:| -4104 *4))))))
+ ((*1 *2 *1)
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+   (-5 *2 (-656 (-887 *4 *3)))))
+ ((*1 *2 *1)
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+ ((*1 *2 *1)
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+(((*1 *2 *3 *4 *4 *3 *5 *3 *3 *4 *3 *6)
+  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *5 (-227))
+   (-5 *6 (-3 (|:| |fn| (-400)) (|:| |fp| (-78 FUNCTN))))
+   (-5 *2 (-1056)) (-5 *1 (-760))))) 
+(((*1 *2 *3 *2) (-12 (-5 *2 (-227)) (-5 *3 (-783)) (-5 *1 (-228))))
+ ((*1 *2 *3 *2)
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+ ((*1 *2 *2 *2)
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+ ((*1 *1 *1 *1) (-4 *1 (-1160)))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-2 (|:| |cd| (-1179)) (|:| -2629 (-1179))))
+   (-5 *1 (-834))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-1197))
-   (-5 *2
-    (-2 (|:| |zeros| (-1178 (-227))) (|:| |ones| (-1178 (-227)))
-     (|:| |singularities| (-1178 (-227)))))
-   (-5 *1 (-105))))) 
-(((*1 *2 *2 *3)
-  (|partial| -12 (-5 *3 (-1 *6 *6)) (-4 *6 (-1264 *5))
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-      (-4 *7 (-1264 (-419 *6))) (-5 *1 (-564 *4 *5 *6 *7 *2))
-      (-4 *2 (-353 *5 *6 *7))))) 
+  (-12 (-4 *4 (-568)) (-4 *5 (-805)) (-4 *6 (-861))
+   (-4 *7 (-1086 *4 *5 *6))
+   (-5 *2 (-2 (|:| |goodPols| (-656 *7)) (|:| |badPols| (-656 *7))))
+   (-5 *1 (-998 *4 *5 *6 *7)) (-5 *3 (-656 *7))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-568)) (-5 *2 (-656 *3)) (-5 *1 (-43 *4 *3))
+   (-4 *3 (-429 *4))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-656 (-962 (-227)))) (-5 *1 (-1289))))) 
+(((*1 *2 *1 *3 *3)
+  (-12 (-5 *3 (-576)) (-5 *2 (-1293)) (-5 *1 (-923 *4))
+   (-4 *4 (-1121))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-923 *3)) (-4 *3 (-1121))))) 
+(((*1 *2 *3 *3 *3 *3 *3 *4 *4 *4 *5)
+  (-12 (-5 *3 (-227)) (-5 *4 (-576))
+   (-5 *5 (-3 (|:| |fn| (-400)) (|:| |fp| (-64 G)))) (-5 *2 (-1056))
+   (-5 *1 (-760))))) 
 (((*1 *2 *1) (-12 (-4 *1 (-133)) (-5 *2 (-783))))
  ((*1 *2 *3 *1 *2)
   (-12 (-5 *2 (-576)) (-4 *1 (-384 *3)) (-4 *3 (-1238))
@@ -4382,204 +4490,94 @@
  ((*1 *2 *1) (-12 (-5 *2 (-1141)) (-5 *1 (-541))))
  ((*1 *2 *3 *1 *2) (-12 (-4 *1 (-1165)) (-5 *2 (-576)) (-5 *3 (-142))))
  ((*1 *2 *1 *1 *2) (-12 (-4 *1 (-1165)) (-5 *2 (-576))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
-(((*1 *2 *3)
-  (|partial| -12 (-5 *3 (-115)) (-5 *1 (-114 *2)) (-4 *2 (-1121))))) 
-(((*1 *2 *3 *4)
-  (-12 (-4 *5 (-374)) (-4 *5 (-568))
+(((*1 *2 *2 *1) (-12 (-4 *1 (-1142 *2)) (-4 *2 (-1238))))) 
+(((*1 *2 *2) (|partial| -12 (-4 *1 (-1004 *2)) (-4 *2 (-1223))))) 
+(((*1 *2 *1 *3)
+  (-12 (-5 *3 (-656 *6)) (-4 *6 (-861)) (-4 *4 (-374)) (-4 *5 (-805))
    (-5 *2
-    (-2 (|:| |minor| (-656 (-940))) (|:| -4026 *3)
-     (|:| |minors| (-656 (-656 (-940)))) (|:| |ops| (-656 *3))))
-   (-5 *1 (-90 *5 *3)) (-5 *4 (-940)) (-4 *3 (-668 *5))))) 
-(((*1 *2 *1 *2) (-12 (-5 *2 (-656 (-1179))) (-5 *1 (-406))))
- ((*1 *2 *1 *2) (-12 (-5 *2 (-656 (-1179))) (-5 *1 (-1218))))) 
-(((*1 *1 *1 *1)
-  (|partial| -12 (-4 *1 (-866 *2)) (-4 *2 (-1070)) (-4 *2 (-374))))) 
-(((*1 *1 *1)
-  (-12 (-4 *1 (-1124 *2 *3 *4 *5 *6)) (-4 *2 (-1121)) (-4 *3 (-1121))
-   (-4 *4 (-1121)) (-4 *5 (-1121)) (-4 *6 (-1121))))) 
-(((*1 *2 *3 *2)
-  (-12 (-5 *2 (-112)) (-5 *3 (-656 (-270))) (-5 *1 (-268))))
- ((*1 *1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-270))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-1307 *3)) (-4 *3 (-374)) (-5 *2 (-112))))) 
-(((*1 *2 *1)
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-   (-14 *4 (-1197)) (-14 *5 *3)))) 
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 (((*1 *2 *1 *3 *3)
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 (((*1 *2 *1)
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 (((*1 *2 *3)
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-(((*1 *1 *1 *1)
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-   (-14 *4 *3)))
- ((*1 *1 *2 *3 *1)
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-   (-14 *4 *3)))
- ((*1 *1 *1 *1)
-  (-12 (-5 *1 (-687 *2)) (-4 *2 (-1070)) (-4 *2 (-1121))))) 
+  (|partial| -12 (-5 *3 (-1288 *4)) (-4 *4 (-13 (-1070) (-651 (-576))))
+      (-5 *2 (-1288 (-576))) (-5 *1 (-1316 *4))))) 
 (((*1 *2 *1) (-12 (-4 *1 (-47 *3 *2)) (-4 *3 (-1070)) (-4 *2 (-804))))
  ((*1 *2 *1)
   (-12 (-5 *2 (-783)) (-5 *1 (-50 *3 *4)) (-4 *3 (-1070))
@@ -4630,10 +4628,69 @@
  ((*1 *2 *1)
   (-12 (-4 *1 (-1309 *3 *4)) (-4 *3 (-861)) (-4 *4 (-1070))
    (-5 *2 (-783))))) 
+(((*1 *2 *3 *4)
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+   (-4 *8 (-1264 (-419 *7))) (-5 *2 (-598 *3))
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+(((*1 *1) (-5 *1 (-835)))) 
+(((*1 *2 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-448))))) 
+(((*1 *2) (-12 (-5 *2 (-656 (-783))) (-5 *1 (-1291))))
+ ((*1 *2 *2) (-12 (-5 *2 (-656 (-783))) (-5 *1 (-1291))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-1193 *7)) (-4 *7 (-968 *6 *4 *5)) (-4 *4 (-805))
+   (-4 *5 (-861)) (-4 *6 (-1070)) (-5 *2 (-1193 *6))
+   (-5 *1 (-331 *4 *5 *6 *7))))) 
+(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *5)
+  (-12 (-5 *3 (-1 (-390) (-390))) (-5 *4 (-390))
+   (-5 *2
+    (-2 (|:| -3106 *4) (|:| -3314 *4) (|:| |totalpts| (-576))
+     (|:| |success| (-112))))
+   (-5 *1 (-801)) (-5 *5 (-576))))) 
+(((*1 *2) (-12 (-5 *2 (-1179)) (-5 *1 (-403))))) 
+(((*1 *2 *3 *4 *3)
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+   (-5 *1 (-759))))) 
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+ ((*1 *2 *2) (-12 (-5 *2 (-227)) (-5 *1 (-228))))
+ ((*1 *2 *2) (-12 (-5 *2 (-171 (-227))) (-5 *1 (-228))))
+ ((*1 *2 *2)
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+ ((*1 *2 *2 *2)
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+ ((*1 *1 *1) (-4 *1 (-1160))) ((*1 *1 *1 *1) (-4 *1 (-1160)))) 
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    (-5 *2 (-2 (|:| |rnum| *4) (|:| |polnum| *3) (|:| |den| *4)))))) 
+(((*1 *2 *3 *3 *4)
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+(((*1 *2 *1) (-12 (-4 *1 (-1031 *3)) (-4 *3 (-1238)) (-5 *2 (-112))))
+ ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-1224 *3)) (-4 *3 (-1121))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-13 (-464) (-1059 (-576)))) (-4 *3 (-568))
+   (-5 *1 (-41 *3 *2)) (-4 *2 (-442 *3))
+   (-4 *2
+    (-13 (-374) (-312)
+     (-10 -8 (-15 -1570 ((-1146 *3 (-624 $)) $))
+      (-15 -1581 ((-1146 *3 (-624 $)) $))
+      (-15 -3570 ($ (-1146 *3 (-624 $)))))))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-940)) (-5 *2 (-923 (-576))) (-5 *1 (-936))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-656 (-576))) (-5 *2 (-923 (-576))) (-5 *1 (-936))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-809 *2)) (-4 *2 (-174))))
+ ((*1 *2 *1) (-12 (-4 *1 (-1018 *2)) (-4 *2 (-174))))) 
 (((*1 *2 *3)
   (-12 (-5 *3 (-1197)) (-4 *5 (-1242)) (-4 *6 (-1264 *5))
    (-4 *7 (-1264 (-419 *6))) (-5 *2 (-656 (-971 *5)))
@@ -4642,6 +4699,40 @@
   (-12 (-5 *3 (-1197)) (-4 *1 (-353 *4 *5 *6)) (-4 *4 (-1242))
    (-4 *5 (-1264 *4)) (-4 *6 (-1264 (-419 *5))) (-4 *4 (-374))
    (-5 *2 (-656 (-971 *4)))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-656 (-326 (-227)))) (-5 *2 (-112)) (-5 *1 (-276))))
+ ((*1 *2 *3) (-12 (-5 *3 (-326 (-227))) (-5 *2 (-112)) (-5 *1 (-276))))
+ ((*1 *2 *3)
+  (-12 (-4 *4 (-568)) (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))
+   (-5 *1 (-998 *4 *5 *6 *3)) (-4 *3 (-1086 *4 *5 *6))))) 
+(((*1 *2 *3 *4 *4 *5 *4 *4 *5)
+  (-12 (-5 *3 (-1179)) (-5 *4 (-576)) (-5 *5 (-701 (-227)))
+   (-5 *2 (-1056)) (-5 *1 (-769))))) 
+(((*1 *2) (-12 (-5 *2 (-940)) (-5 *1 (-713))))
+ ((*1 *2 *2) (-12 (-5 *2 (-940)) (-5 *1 (-713))))) 
+(((*1 *2 *3)
+  (-12 (-5 *2 (-112)) (-5 *1 (-121 *3)) (-4 *3 (-1264 (-576)))))
+ ((*1 *2 *3 *2)
+  (-12 (-5 *2 (-112)) (-5 *1 (-121 *3)) (-4 *3 (-1264 (-576)))))) 
+(((*1 *1 *1)
+  (-12 (-4 *1 (-1086 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-805))
+   (-4 *4 (-861)) (-4 *2 (-568))))) 
+(((*1 *2 *3 *4 *3)
+  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
+   (-5 *1 (-759))))) 
+(((*1 *2 *3 *4 *4 *4 *3 *4 *3)
+  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
+   (-5 *1 (-763))))) 
+(((*1 *2 *1 *3 *4)
+  (-12 (-5 *3 (-480)) (-5 *4 (-940)) (-5 *2 (-1293)) (-5 *1 (-1289))))) 
+(((*1 *1 *1 *1)
+  (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23))
+   (-14 *4 *3)))
+ ((*1 *1 *2 *3 *1)
+  (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23))
+   (-14 *4 *3)))
+ ((*1 *1 *1 *1)
+  (-12 (-5 *1 (-687 *2)) (-4 *2 (-1070)) (-4 *2 (-1121))))) 
 (((*1 *2 *3 *4)
   (-12 (-5 *3 (-656 *8)) (-5 *4 (-112)) (-4 *8 (-1086 *5 *6 *7))
    (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861)) (-5 *2 (-656 *10))
@@ -4685,33 +4776,43 @@
   (-12 (-5 *3 (-656 *7)) (-4 *7 (-1086 *4 *5 *6)) (-4 *4 (-568))
    (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-656 *1))
    (-4 *1 (-1231 *4 *5 *6 *7))))) 
-(((*1 *2)
-  (|partial| -12 (-4 *3 (-568)) (-4 *3 (-174))
-      (-5 *2 (-2 (|:| |particular| *1) (|:| -3454 (-656 *1))))
-      (-4 *1 (-378 *3))))
- ((*1 *2)
-  (|partial| -12
-      (-5 *2
-       (-2 (|:| |particular| (-465 *3 *4 *5 *6))
-        (|:| -3454 (-656 (-465 *3 *4 *5 *6)))))
-      (-5 *1 (-465 *3 *4 *5 *6)) (-4 *3 (-174)) (-14 *4 (-940))
-      (-14 *5 (-656 (-1197))) (-14 *6 (-1288 (-701 *3)))))) 
-(((*1 *2 *1 *3)
-  (-12 (-5 *3 (-656 *1)) (-4 *1 (-1086 *4 *5 *6)) (-4 *4 (-1070))
-   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))))
- ((*1 *2 *1 *1)
-  (-12 (-4 *1 (-1086 *3 *4 *5)) (-4 *3 (-1070)) (-4 *4 (-805))
-   (-4 *5 (-861)) (-5 *2 (-112))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-1231 *3 *4 *5 *6)) (-4 *3 (-568)) (-4 *4 (-805))
-   (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5)) (-5 *2 (-112))))
- ((*1 *2 *3 *1)
-  (-12 (-4 *1 (-1231 *4 *5 *6 *3)) (-4 *4 (-568)) (-4 *5 (-805))
-   (-4 *6 (-861)) (-4 *3 (-1086 *4 *5 *6)) (-5 *2 (-112))))) 
-(((*1 *2 *3 *3 *4 *4 *3 *4 *4 *3 *3 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
-   (-5 *1 (-764))))) 
-(((*1 *1 *1 *1) (-5 *1 (-876)))) 
+(((*1 *1 *1 *1) (-4 *1 (-988)))) 
+(((*1 *2 *3)
+  (-12 (-5 *2 (-430 (-1193 *1))) (-5 *1 (-326 *4)) (-5 *3 (-1193 *1))
+   (-4 *4 (-464)) (-4 *4 (-568)) (-4 *4 (-1121))))
+ ((*1 *2 *3)
+  (-12 (-4 *1 (-928)) (-5 *2 (-430 (-1193 *1))) (-5 *3 (-1193 *1))))) 
+(((*1 *2 *1)
+  (-12
+   (-5 *2
+    (-656
+     (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| *3)
+      (|:| |xpnt| (-576)))))
+   (-5 *1 (-430 *3)) (-4 *3 (-568))))
+ ((*1 *2 *3 *4 *4 *4)
+  (-12 (-5 *4 (-783)) (-4 *3 (-360)) (-4 *5 (-1264 *3))
+   (-5 *2 (-656 (-1193 *3))) (-5 *1 (-510 *3 *5 *6))
+   (-4 *6 (-1264 *5))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-656 (-340))) (-5 *1 (-340))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1223)))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *3 (-1197)) (-4 *4 (-568)) (-5 *1 (-159 *4 *2))
+   (-4 *2 (-442 *4))))
+ ((*1 *2 *2 *3)
+  (-12 (-5 *3 (-1113 *2)) (-4 *2 (-442 *4)) (-4 *4 (-568))
+   (-5 *1 (-159 *4 *2))))
+ ((*1 *1 *1 *2) (-12 (-5 *2 (-1113 *1)) (-4 *1 (-161))))
+ ((*1 *1 *1 *2) (-12 (-4 *1 (-161)) (-5 *2 (-1197))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *2 (-701 *7)) (-5 *3 (-656 *7)) (-4 *7 (-968 *4 *6 *5))
+   (-4 *4 (-13 (-317) (-148))) (-4 *5 (-13 (-861) (-626 (-1197))))
+   (-4 *6 (-805)) (-5 *1 (-943 *4 *5 *6 *7))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-1288 (-656 (-2 (|:| -3106 *4) (|:| -3224 (-1141))))))
+   (-4 *4 (-360)) (-5 *2 (-1293)) (-5 *1 (-540 *4))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-656 (-656 (-962 (-227))))) (-5 *1 (-480))))) 
 (((*1 *1 *1) (-12 (-5 *1 (-689 *2)) (-4 *2 (-861))))
  ((*1 *1 *1) (-12 (-5 *1 (-831 *2)) (-4 *2 (-861))))
  ((*1 *1 *1) (-12 (-5 *1 (-908 *2)) (-4 *2 (-861))))
@@ -4721,74 +4822,60 @@
  ((*1 *1 *1 *2)
   (-12 (-5 *2 (-783)) (-4 *1 (-1276 *3)) (-4 *3 (-1238))))
  ((*1 *1 *1) (-12 (-4 *1 (-1276 *2)) (-4 *2 (-1238))))) 
-(((*1 *2 *1 *3)
-  (-12 (-5 *3 (-656 *6)) (-4 *1 (-968 *4 *5 *6)) (-4 *4 (-1070))
-   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-783))))
+(((*1 *2 *3)
+  (-12 (-4 *4 (-1070)) (-5 *2 (-112)) (-5 *1 (-456 *4 *3))
+   (-4 *3 (-1264 *4))))
  ((*1 *2 *1)
-  (-12 (-4 *1 (-968 *3 *4 *5)) (-4 *3 (-1070)) (-4 *4 (-805))
-   (-4 *5 (-861)) (-5 *2 (-783))))) 
-(((*1 *2 *3 *4 *5)
-  (-12 (-5 *5 (-783)) (-4 *6 (-464)) (-4 *7 (-805)) (-4 *8 (-861))
-   (-4 *3 (-1086 *6 *7 *8))
-   (-5 *2
-    (-2 (|:| |done| (-656 *4))
-     (|:| |todo| (-656 (-2 (|:| |val| (-656 *3)) (|:| -3987 *4))))))
-   (-5 *1 (-1090 *6 *7 *8 *3 *4)) (-4 *4 (-1092 *6 *7 *8 *3))))
- ((*1 *2 *3 *4)
-  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
-   (-4 *3 (-1086 *5 *6 *7))
-   (-5 *2
-    (-2 (|:| |done| (-656 *4))
-     (|:| |todo| (-656 (-2 (|:| |val| (-656 *3)) (|:| -3987 *4))))))
-   (-5 *1 (-1090 *5 *6 *7 *3 *4)) (-4 *4 (-1092 *5 *6 *7 *3))))
- ((*1 *2 *3 *4 *5)
-  (-12 (-5 *5 (-783)) (-4 *6 (-464)) (-4 *7 (-805)) (-4 *8 (-861))
-   (-4 *3 (-1086 *6 *7 *8))
-   (-5 *2
-    (-2 (|:| |done| (-656 *4))
-     (|:| |todo| (-656 (-2 (|:| |val| (-656 *3)) (|:| -3987 *4))))))
-   (-5 *1 (-1166 *6 *7 *8 *3 *4)) (-4 *4 (-1130 *6 *7 *8 *3))))
- ((*1 *2 *3 *4)
-  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
-   (-4 *3 (-1086 *5 *6 *7))
-   (-5 *2
-    (-2 (|:| |done| (-656 *4))
-     (|:| |todo| (-656 (-2 (|:| |val| (-656 *3)) (|:| -3987 *4))))))
-   (-5 *1 (-1166 *5 *6 *7 *3 *4)) (-4 *4 (-1130 *5 *6 *7 *3))))) 
-(((*1 *2 *1)
-  (-12 (-5 *2 (-1193 (-419 (-971 *3)))) (-5 *1 (-465 *3 *4 *5 *6))
-   (-4 *3 (-568)) (-4 *3 (-174)) (-14 *4 (-940))
-   (-14 *5 (-656 (-1197))) (-14 *6 (-1288 (-701 *3)))))) 
-(((*1 *2 *1)
-  (-12 (-5 *2 (-112)) (-5 *1 (-1185 *3 *4)) (-14 *3 (-940))
-   (-4 *4 (-1070))))) 
+  (-12 (-4 *1 (-1086 *3 *4 *5)) (-4 *3 (-1070)) (-4 *4 (-805))
+   (-4 *5 (-861)) (-5 *2 (-112))))) 
+(((*1 *1 *2)
+  (-12 (-5 *2 (-1193 *3)) (-4 *3 (-1070)) (-4 *1 (-1264 *3))))) 
+(((*1 *2)
+  (|partial| -12 (-4 *3 (-568)) (-4 *3 (-174))
+      (-5 *2 (-2 (|:| |particular| *1) (|:| -1593 (-656 *1))))
+      (-4 *1 (-378 *3))))
+ ((*1 *2)
+  (|partial| -12
+      (-5 *2
+       (-2 (|:| |particular| (-465 *3 *4 *5 *6))
+        (|:| -1593 (-656 (-465 *3 *4 *5 *6)))))
+      (-5 *1 (-465 *3 *4 *5 *6)) (-4 *3 (-174)) (-14 *4 (-940))
+      (-14 *5 (-656 (-1197))) (-14 *6 (-1288 (-701 *3)))))) 
+(((*1 *2 *1 *1)
+  (-12 (-5 *2 (-2 (|:| -3230 *3) (|:| |coef1| (-794 *3))))
+   (-5 *1 (-794 *3)) (-4 *3 (-568)) (-4 *3 (-1070))))) 
+(((*1 *1 *1) (-4 *1 (-641)))
+ ((*1 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-642 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1023) (-1223)))))) 
 (((*1 *2 *3)
-  (-12 (-4 *4 (-1070))
-   (-4 *2 (-13 (-416) (-1059 *4) (-374) (-1223) (-294)))
-   (-5 *1 (-455 *4 *3 *2)) (-4 *3 (-1264 *4))))) 
-(((*1 *2 *3 *4)
-  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
-   (-4 *3 (-1086 *5 *6 *7)) (-5 *2 (-656 *4))
-   (-5 *1 (-1129 *5 *6 *7 *3 *4)) (-4 *4 (-1092 *5 *6 *7 *3))))) 
-(((*1 *2 *1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-173))))) 
-(((*1 *1 *1 *1) (-12 (-4 *1 (-668 *2)) (-4 *2 (-1070)) (-4 *2 (-374))))
- ((*1 *2 *2 *2 *3)
-  (-12 (-5 *3 (-1 *4 *4)) (-4 *4 (-374)) (-5 *1 (-671 *4 *2))
-   (-4 *2 (-668 *4))))) 
-(((*1 *1 *2) (-12 (-5 *2 (-419 (-576))) (-5 *1 (-108))))
- ((*1 *1 *1 *2) (-12 (-5 *2 (-656 (-548))) (-5 *1 (-548))))) 
-(((*1 *1) (-5 *1 (-835)))) 
+  (-12 (-5 *3 (-253 *4 *5)) (-14 *4 (-656 (-1197))) (-4 *5 (-1070))
+   (-5 *2 (-493 *4 *5)) (-5 *1 (-963 *4 *5))))) 
+(((*1 *2 *1 *1) (-12 (-4 *1 (-557)) (-5 *2 (-112))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-686 *2)) (-4 *2 (-1238))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-115))))) 
+(((*1 *2 *3 *3)
+  (-12 (-5 *3 (-656 *7)) (-4 *7 (-1086 *4 *5 *6)) (-4 *4 (-464))
+   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))
+   (-5 *1 (-1009 *4 *5 *6 *7 *8)) (-4 *8 (-1092 *4 *5 *6 *7))))
+ ((*1 *2 *3 *3)
+  (-12 (-5 *3 (-656 *7)) (-4 *7 (-1086 *4 *5 *6)) (-4 *4 (-464))
+   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))
+   (-5 *1 (-1128 *4 *5 *6 *7 *8)) (-4 *8 (-1092 *4 *5 *6 *7))))) 
 (((*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-1238)) (-4 *1 (-152 *3))))
  ((*1 *1 *2)
   (-12
-   (-5 *2 (-656 (-2 (|:| -4210 (-783)) (|:| -2394 *4) (|:| |num| *4))))
+   (-5 *2 (-656 (-2 (|:| -3422 (-783)) (|:| -2396 *4) (|:| |num| *4))))
    (-4 *4 (-1264 *3)) (-4 *3 (-13 (-374) (-148))) (-5 *1 (-411 *3 *4))))
  ((*1 *1 *2 *3 *4)
-  (-12 (-5 *2 (-3 (|:| |fst| (-446)) (|:| -2916 "void")))
+  (-12 (-5 *2 (-3 (|:| |fst| (-446)) (|:| -2917 "void")))
    (-5 *3 (-656 (-971 (-576)))) (-5 *4 (-112)) (-5 *1 (-449))))
  ((*1 *1 *2 *3 *4)
-  (-12 (-5 *2 (-3 (|:| |fst| (-446)) (|:| -2916 "void")))
+  (-12 (-5 *2 (-3 (|:| |fst| (-446)) (|:| -2917 "void")))
    (-5 *3 (-656 (-1197))) (-5 *4 (-112)) (-5 *1 (-449))))
+ ((*1 *1 *2)
+  (-12 (-5 *2 (-656 (-887 *3 *4))) (-4 *3 (-23)) (-4 *4 (-861))
+   (-5 *1 (-520 *3 *4))))
  ((*1 *2 *1)
   (-12 (-5 *2 (-1178 *3)) (-5 *1 (-613 *3)) (-4 *3 (-1238))))
  ((*1 *1 *1 *1) (-12 (-4 *1 (-646 *2)) (-4 *2 (-174))))
@@ -4807,24 +4894,24 @@
  ((*1 *1 *2 *3)
   (-12 (-5 *1 (-725 *2 *3 *4)) (-4 *2 (-861)) (-4 *3 (-1121))
    (-14 *4
-    (-1 (-112) (-2 (|:| -3223 *2) (|:| -4210 *3))
-     (-2 (|:| -3223 *2) (|:| -4210 *3))))))
+    (-1 (-112) (-2 (|:| -3224 *2) (|:| -3422 *3))
+     (-2 (|:| -3224 *2) (|:| -3422 *3))))))
  ((*1 *1 *2 *3) (-12 (-5 *2 (-518)) (-5 *3 (-1139)) (-5 *1 (-850))))
  ((*1 *1 *2 *3)
   (-12 (-5 *1 (-887 *2 *3)) (-4 *2 (-1238)) (-4 *3 (-1238))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-656 (-2 (|:| -4300 (-1197)) (|:| -4438 *4))))
+  (-12 (-5 *2 (-656 (-2 (|:| -4301 (-1197)) (|:| -4440 *4))))
    (-4 *4 (-1121)) (-5 *1 (-904 *3 *4)) (-4 *3 (-1121))))
  ((*1 *2 *3 *4)
   (-12 (-5 *4 (-656 *5)) (-4 *5 (-13 (-1121) (-34)))
    (-5 *2 (-656 (-1161 *3 *5))) (-5 *1 (-1161 *3 *5))
    (-4 *3 (-13 (-1121) (-34)))))
  ((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-2 (|:| |val| *4) (|:| -3987 *5))))
+  (-12 (-5 *3 (-656 (-2 (|:| |val| *4) (|:| -3988 *5))))
    (-4 *4 (-13 (-1121) (-34))) (-4 *5 (-13 (-1121) (-34)))
    (-5 *2 (-656 (-1161 *4 *5))) (-5 *1 (-1161 *4 *5))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-2 (|:| |val| *3) (|:| -3987 *4)))
+  (-12 (-5 *2 (-2 (|:| |val| *3) (|:| -3988 *4)))
    (-4 *3 (-13 (-1121) (-34))) (-4 *4 (-13 (-1121) (-34)))
    (-5 *1 (-1161 *3 *4))))
  ((*1 *1 *2 *3)
@@ -4861,156 +4948,128 @@
  ((*1 *1 *1 *2)
   (-12 (-5 *2 (-783)) (-4 *1 (-1276 *3)) (-4 *3 (-1238))))
  ((*1 *2 *1) (-12 (-4 *1 (-1276 *2)) (-4 *2 (-1238))))) 
-(((*1 *2 *1 *3 *3)
-  (-12 (-5 *3 (-940)) (-5 *2 (-1293)) (-5 *1 (-216 *4))
-   (-4 *4
-    (-13 (-861)
-     (-10 -8 (-15 -2796 ((-1179) $ (-1197))) (-15 -1976 (*2 $))
-      (-15 -3579 (*2 $)))))))
+(((*1 *2 *3)
+  (-12 (-5 *2 (-656 (-1179))) (-5 *1 (-841)) (-5 *3 (-1179))))) 
+(((*1 *2 *1 *3)
+  (-12 (-5 *3 (-656 *1)) (-4 *1 (-1086 *4 *5 *6)) (-4 *4 (-1070))
+   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))))
+ ((*1 *2 *1 *1)
+  (-12 (-4 *1 (-1086 *3 *4 *5)) (-4 *3 (-1070)) (-4 *4 (-805))
+   (-4 *5 (-861)) (-5 *2 (-112))))
  ((*1 *2 *1)
-  (-12 (-5 *2 (-1293)) (-5 *1 (-216 *3))
-   (-4 *3
-    (-13 (-861)
-     (-10 -8 (-15 -2796 ((-1179) $ (-1197))) (-15 -1976 (*2 $))
-      (-15 -3579 (*2 $)))))))
- ((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-514))))) 
-(((*1 *2 *3 *2)
-  (-12
+  (-12 (-4 *1 (-1231 *3 *4 *5 *6)) (-4 *3 (-568)) (-4 *4 (-805))
+   (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5)) (-5 *2 (-112))))
+ ((*1 *2 *3 *1)
+  (-12 (-4 *1 (-1231 *4 *5 *6 *3)) (-4 *4 (-568)) (-4 *5 (-805))
+   (-4 *6 (-861)) (-4 *3 (-1086 *4 *5 *6)) (-5 *2 (-112))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-539)) (-5 *2 (-703 (-130)))))) 
+(((*1 *1 *1 *2) (-12 (-5 *2 (-656 (-876))) (-5 *1 (-1197))))) 
+(((*1 *2)
+  (-12 (-4 *1 (-353 *3 *4 *5)) (-4 *3 (-1242)) (-4 *4 (-1264 *3))
+   (-4 *5 (-1264 (-419 *4))) (-5 *2 (-701 (-419 *4)))))) 
+(((*1 *2 *2) (|partial| -12 (-4 *1 (-1004 *2)) (-4 *2 (-1223))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-568)) (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))
+   (-5 *1 (-998 *4 *5 *6 *3)) (-4 *3 (-1086 *4 *5 *6))))) 
+(((*1 *2)
+  (-12 (-4 *3 (-1242)) (-4 *4 (-1264 *3)) (-4 *5 (-1264 (-419 *4)))
+   (-5 *2 (-1288 *1)) (-4 *1 (-353 *3 *4 *5))))
+ ((*1 *2)
+  (-12 (-4 *3 (-13 (-317) (-10 -8 (-15 -3921 ((-430 $) $)))))
+   (-4 *4 (-1264 *3))
    (-5 *2
-    (-2 (|:| |theta| (-227)) (|:| |phi| (-227)) (|:| -2610 (-227))
-     (|:| |scaleX| (-227)) (|:| |scaleY| (-227)) (|:| |scaleZ| (-227))
-     (|:| |deltaX| (-227)) (|:| |deltaY| (-227))))
-   (-5 *3 (-656 (-270))) (-5 *1 (-268))))
- ((*1 *1 *2)
-  (-12
+    (-2 (|:| -1593 (-701 *3)) (|:| |basisDen| *3)
+     (|:| |basisInv| (-701 *3))))
+   (-5 *1 (-361 *3 *4 *5)) (-4 *5 (-421 *3 *4))))
+ ((*1 *2)
+  (-12 (-4 *3 (-1264 (-576)))
    (-5 *2
-    (-2 (|:| |theta| (-227)) (|:| |phi| (-227)) (|:| -2610 (-227))
-     (|:| |scaleX| (-227)) (|:| |scaleY| (-227)) (|:| |scaleZ| (-227))
-     (|:| |deltaX| (-227)) (|:| |deltaY| (-227))))
-   (-5 *1 (-270))))
- ((*1 *2 *1 *3 *3 *3)
-  (-12 (-5 *3 (-390)) (-5 *2 (-1293)) (-5 *1 (-1290))))
- ((*1 *2 *1 *3 *3)
-  (-12 (-5 *3 (-390)) (-5 *2 (-1293)) (-5 *1 (-1290))))
- ((*1 *2 *1 *3 *3 *4 *4 *4)
-  (-12 (-5 *3 (-576)) (-5 *4 (-390)) (-5 *2 (-1293)) (-5 *1 (-1290))))
- ((*1 *2 *1 *3)
-  (-12
-   (-5 *3
-    (-2 (|:| |theta| (-227)) (|:| |phi| (-227)) (|:| -2610 (-227))
-     (|:| |scaleX| (-227)) (|:| |scaleY| (-227)) (|:| |scaleZ| (-227))
-     (|:| |deltaX| (-227)) (|:| |deltaY| (-227))))
-   (-5 *2 (-1293)) (-5 *1 (-1290))))
- ((*1 *2 *1)
-  (-12
+    (-2 (|:| -1593 (-701 (-576))) (|:| |basisDen| (-576))
+     (|:| |basisInv| (-701 (-576)))))
+   (-5 *1 (-780 *3 *4)) (-4 *4 (-421 (-576) *3))))
+ ((*1 *2)
+  (-12 (-4 *3 (-360)) (-4 *4 (-1264 *3)) (-4 *5 (-1264 *4))
    (-5 *2
-    (-2 (|:| |theta| (-227)) (|:| |phi| (-227)) (|:| -2610 (-227))
-     (|:| |scaleX| (-227)) (|:| |scaleY| (-227)) (|:| |scaleZ| (-227))
-     (|:| |deltaX| (-227)) (|:| |deltaY| (-227))))
-   (-5 *1 (-1290))))
- ((*1 *2 *1 *3 *3 *3 *3 *3)
-  (-12 (-5 *3 (-390)) (-5 *2 (-1293)) (-5 *1 (-1290))))) 
-(((*1 *2 *2 *3)
-  (|partial| -12
-      (-5 *3 (-656 (-2 (|:| |func| *2) (|:| |pole| (-112)))))
-      (-4 *2 (-13 (-442 *4) (-1023))) (-4 *4 (-568))
-      (-5 *1 (-285 *4 *2))))) 
-(((*1 *2 *3 *3 *3 *4)
-  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
-(((*1 *2 *2 *3)
-  (-12 (-5 *3 (-656 *2)) (-4 *2 (-968 *4 *5 *6)) (-4 *4 (-317))
-   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *1 (-459 *4 *5 *6 *2))))) 
-(((*1 *1 *1) (-12 (-4 *1 (-1276 *2)) (-4 *2 (-1238))))) 
-(((*1 *2 *1 *1)
-  (-12 (-4 *3 (-568)) (-4 *3 (-1070))
-   (-5 *2 (-2 (|:| -3015 *1) (|:| -3599 *1))) (-4 *1 (-866 *3))))
- ((*1 *2 *3 *3 *4)
-  (-12 (-5 *4 (-99 *5)) (-4 *5 (-568)) (-4 *5 (-1070))
-   (-5 *2 (-2 (|:| -3015 *3) (|:| -3599 *3))) (-5 *1 (-867 *5 *3))
-   (-4 *3 (-866 *5))))) 
-(((*1 *2 *1)
-  (|partial| -12 (-4 *3 (-1070)) (-4 *3 (-1121))
-      (-5 *2 (-2 (|:| |val| *1) (|:| -4210 (-576)))) (-4 *1 (-442 *3))))
- ((*1 *2 *1)
-  (|partial| -12
-      (-5 *2 (-2 (|:| |val| (-907 *3)) (|:| -4210 (-907 *3))))
-      (-5 *1 (-907 *3)) (-4 *3 (-1121))))
- ((*1 *2 *3)
-  (|partial| -12 (-4 *4 (-805)) (-4 *5 (-861)) (-4 *6 (-1070))
-      (-4 *7 (-968 *6 *4 *5))
-      (-5 *2 (-2 (|:| |val| *3) (|:| -4210 (-576))))
-      (-5 *1 (-969 *4 *5 *6 *7 *3))
-      (-4 *3
-       (-13 (-374)
-        (-10 -8 (-15 -3569 ($ *7)) (-15 -1570 (*7 $))
-         (-15 -1581 (*7 $)))))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-1115 (-855 (-227)))) (-5 *1 (-315))))) 
-(((*1 *2 *1)
-  (-12 (-4 *1 (-167 *3)) (-4 *3 (-174)) (-4 *3 (-1081)) (-4 *3 (-1223))
-   (-5 *2 (-2 (|:| |r| *3) (|:| |phi| *3)))))) 
+    (-2 (|:| -1593 (-701 *4)) (|:| |basisDen| *4)
+     (|:| |basisInv| (-701 *4))))
+   (-5 *1 (-1006 *3 *4 *5 *6)) (-4 *6 (-736 *4 *5))))
+ ((*1 *2)
+  (-12 (-4 *3 (-360)) (-4 *4 (-1264 *3)) (-4 *5 (-1264 *4))
+   (-5 *2
+    (-2 (|:| -1593 (-701 *4)) (|:| |basisDen| *4)
+     (|:| |basisInv| (-701 *4))))
+   (-5 *1 (-1297 *3 *4 *5 *6)) (-4 *6 (-421 *4 *5))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1223)))))) 
+(((*1 *2 *3 *2)
+  (-12 (-5 *2 (-112)) (-5 *3 (-656 (-270))) (-5 *1 (-268))))
+ ((*1 *1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-270))))
+ ((*1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-479))))
+ ((*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-479))))) 
 (((*1 *1 *2)
   (-12 (-5 *2 (-1288 *3)) (-4 *3 (-374)) (-14 *6 (-1288 (-701 *3)))
    (-5 *1 (-44 *3 *4 *5 *6)) (-14 *4 (-940)) (-14 *5 (-656 (-1197)))))
  ((*1 *1 *2) (-12 (-5 *2 (-1146 (-576) (-624 (-48)))) (-5 *1 (-48))))
  ((*1 *2 *3) (-12 (-5 *2 (-52)) (-5 *1 (-51 *3)) (-4 *3 (-1238))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-1288 (-350 (-3581 'JINT 'X 'ELAM) (-3581) (-711))))
+  (-12 (-5 *2 (-1288 (-350 (-3582 'JINT 'X 'ELAM) (-3582) (-711))))
    (-5 *1 (-61 *3)) (-14 *3 (-1197))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-1288 (-350 (-3581) (-3581 'XC) (-711))))
+  (-12 (-5 *2 (-1288 (-350 (-3582) (-3582 'XC) (-711))))
    (-5 *1 (-63 *3)) (-14 *3 (-1197))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-350 (-3581 'X) (-3581) (-711))) (-5 *1 (-64 *3))
+  (-12 (-5 *2 (-350 (-3582 'X) (-3582) (-711))) (-5 *1 (-64 *3))
    (-14 *3 (-1197))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-350 (-3581) (-3581 'XC) (-711))) (-5 *1 (-66 *3))
+  (-12 (-5 *2 (-350 (-3582) (-3582 'XC) (-711))) (-5 *1 (-66 *3))
    (-14 *3 (-1197))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-1288 (-350 (-3581 'X) (-3581 '-2493) (-711))))
+  (-12 (-5 *2 (-1288 (-350 (-3582 'X) (-3582 '-2495) (-711))))
    (-5 *1 (-71 *3)) (-14 *3 (-1197))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-1288 (-350 (-3581) (-3581 'X) (-711))))
+  (-12 (-5 *2 (-1288 (-350 (-3582) (-3582 'X) (-711))))
    (-5 *1 (-74 *3)) (-14 *3 (-1197))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-1288 (-350 (-3581 'X 'EPS) (-3581 '-2493) (-711))))
+  (-12 (-5 *2 (-1288 (-350 (-3582 'X 'EPS) (-3582 '-2495) (-711))))
    (-5 *1 (-75 *3 *4 *5)) (-14 *3 (-1197)) (-14 *4 (-1197))
    (-14 *5 (-1197))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-1288 (-350 (-3581 'EPS) (-3581 'YA 'YB) (-711))))
+  (-12 (-5 *2 (-1288 (-350 (-3582 'EPS) (-3582 'YA 'YB) (-711))))
    (-5 *1 (-76 *3 *4 *5)) (-14 *3 (-1197)) (-14 *4 (-1197))
    (-14 *5 (-1197))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-350 (-3581) (-3581 'X) (-711))) (-5 *1 (-77 *3))
+  (-12 (-5 *2 (-350 (-3582) (-3582 'X) (-711))) (-5 *1 (-77 *3))
    (-14 *3 (-1197))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-350 (-3581) (-3581 'X) (-711))) (-5 *1 (-78 *3))
+  (-12 (-5 *2 (-350 (-3582) (-3582 'X) (-711))) (-5 *1 (-78 *3))
    (-14 *3 (-1197))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-1288 (-350 (-3581) (-3581 'XC) (-711))))
+  (-12 (-5 *2 (-1288 (-350 (-3582) (-3582 'XC) (-711))))
    (-5 *1 (-79 *3)) (-14 *3 (-1197))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-1288 (-350 (-3581) (-3581 'X) (-711))))
+  (-12 (-5 *2 (-1288 (-350 (-3582) (-3582 'X) (-711))))
    (-5 *1 (-80 *3)) (-14 *3 (-1197))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-1288 (-350 (-3581 'X '-2493) (-3581) (-711))))
+  (-12 (-5 *2 (-1288 (-350 (-3582 'X '-2495) (-3582) (-711))))
    (-5 *1 (-82 *3)) (-14 *3 (-1197))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-701 (-350 (-3581 'X '-2493) (-3581) (-711))))
+  (-12 (-5 *2 (-701 (-350 (-3582 'X '-2495) (-3582) (-711))))
    (-5 *1 (-83 *3)) (-14 *3 (-1197))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-701 (-350 (-3581 'X) (-3581) (-711)))) (-5 *1 (-84 *3))
+  (-12 (-5 *2 (-701 (-350 (-3582 'X) (-3582) (-711)))) (-5 *1 (-84 *3))
    (-14 *3 (-1197))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-1288 (-350 (-3581 'X) (-3581) (-711))))
+  (-12 (-5 *2 (-1288 (-350 (-3582 'X) (-3582) (-711))))
    (-5 *1 (-85 *3)) (-14 *3 (-1197))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-1288 (-350 (-3581 'X) (-3581 '-2493) (-711))))
+  (-12 (-5 *2 (-1288 (-350 (-3582 'X) (-3582 '-2495) (-711))))
    (-5 *1 (-86 *3)) (-14 *3 (-1197))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-701 (-350 (-3581 'XL 'XR 'ELAM) (-3581) (-711))))
+  (-12 (-5 *2 (-701 (-350 (-3582 'XL 'XR 'ELAM) (-3582) (-711))))
    (-5 *1 (-87 *3)) (-14 *3 (-1197))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-350 (-3581 'X) (-3581 '-2493) (-711))) (-5 *1 (-89 *3))
+  (-12 (-5 *2 (-350 (-3582 'X) (-3582 '-2495) (-711))) (-5 *1 (-89 *3))
    (-14 *3 (-1197))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-656 (-137 *3 *4 *5))) (-5 *1 (-137 *3 *4 *5))
@@ -5081,65 +5140,65 @@
  ((*1 *1 *2) (-12 (-5 *2 (-656 (-340))) (-4 *1 (-408))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-304 (-326 (-171 (-390))))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2916 "void")))
+   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2917 "void")))
    (-14 *5 (-656 (-1197))) (-14 *6 (-1201))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-304 (-326 (-390)))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2916 "void")))
+   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2917 "void")))
    (-14 *5 (-656 (-1197))) (-14 *6 (-1201))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-304 (-326 (-576)))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2916 "void")))
+   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2917 "void")))
    (-14 *5 (-656 (-1197))) (-14 *6 (-1201))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-326 (-171 (-390)))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2916 "void")))
+   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2917 "void")))
    (-14 *5 (-656 (-1197))) (-14 *6 (-1201))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-326 (-390))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2916 "void")))
+   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2917 "void")))
    (-14 *5 (-656 (-1197))) (-14 *6 (-1201))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-326 (-576))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2916 "void")))
+   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2917 "void")))
    (-14 *5 (-656 (-1197))) (-14 *6 (-1201))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-304 (-326 (-706)))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2916 "void")))
+   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2917 "void")))
    (-14 *5 (-656 (-1197))) (-14 *6 (-1201))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-304 (-326 (-711)))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2916 "void")))
+   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2917 "void")))
    (-14 *5 (-656 (-1197))) (-14 *6 (-1201))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-304 (-326 (-713)))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2916 "void")))
+   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2917 "void")))
    (-14 *5 (-656 (-1197))) (-14 *6 (-1201))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-326 (-706))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2916 "void")))
+   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2917 "void")))
    (-14 *5 (-656 (-1197))) (-14 *6 (-1201))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-326 (-711))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2916 "void")))
+   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2917 "void")))
    (-14 *5 (-656 (-1197))) (-14 *6 (-1201))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-326 (-713))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2916 "void")))
+   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2917 "void")))
    (-14 *5 (-656 (-1197))) (-14 *6 (-1201))))
  ((*1 *1 *2)
   (-12
    (-5 *2 (-2 (|:| |localSymbols| (-1201)) (|:| -4349 (-656 (-340)))))
    (-5 *1 (-410 *3 *4 *5 *6)) (-14 *3 (-1197))
-   (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2916 "void")))
+   (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2917 "void")))
    (-14 *5 (-656 (-1197))) (-14 *6 (-1201))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-656 (-340))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2916 "void")))
+   (-14 *3 (-1197)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2917 "void")))
    (-14 *5 (-656 (-1197))) (-14 *6 (-1201))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-340)) (-5 *1 (-410 *3 *4 *5 *6)) (-14 *3 (-1197))
-   (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2916 "void")))
+   (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2917 "void")))
    (-14 *5 (-656 (-1197))) (-14 *6 (-1201))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-341 *4)) (-4 *4 (-13 (-861) (-21)))
@@ -5242,7 +5301,7 @@
    (-14 *4 (-1 *2 *2 *3)) (-14 *5 (-1 (-3 *3 "failed") *3 *3))
    (-14 *6 (-1 (-3 *2 "failed") *2 *2 *3))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-656 (-2 (|:| -1714 *3) (|:| -3684 *4))))
+  (-12 (-5 *2 (-656 (-2 (|:| -1714 *3) (|:| -3685 *4))))
    (-4 *3 (-1070)) (-4 *4 (-738)) (-5 *1 (-747 *3 *4))))
  ((*1 *1 *2) (-12 (-5 *2 (-576)) (-4 *1 (-775))))
  ((*1 *1 *2)
@@ -5251,25 +5310,25 @@
     (-3
      (|:| |nia|
           (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227)))
-           (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
+           (|:| -2951 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
            (|:| |relerr| (-227))))
      (|:| |mdnia|
           (-2 (|:| |fn| (-326 (-227)))
-           (|:| -3343 (-656 (-1115 (-855 (-227)))))
+           (|:| -2951 (-656 (-1115 (-855 (-227)))))
            (|:| |abserr| (-227)) (|:| |relerr| (-227))))))
    (-5 *1 (-781))))
  ((*1 *1 *2)
   (-12
    (-5 *2
     (-2 (|:| |fn| (-326 (-227)))
-     (|:| -3343 (-656 (-1115 (-855 (-227))))) (|:| |abserr| (-227))
+     (|:| -2951 (-656 (-1115 (-855 (-227))))) (|:| |abserr| (-227))
      (|:| |relerr| (-227))))
    (-5 *1 (-781))))
  ((*1 *1 *2)
   (-12
    (-5 *2
     (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227)))
-     (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
+     (|:| -2951 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
      (|:| |relerr| (-227))))
    (-5 *1 (-781))))
  ((*1 *2 *3) (-12 (-5 *2 (-786)) (-5 *1 (-785 *3)) (-4 *3 (-1238))))
@@ -5287,23 +5346,23 @@
    (-5 *2
     (-3
      (|:| |noa|
-          (-2 (|:| |fn| (-326 (-227))) (|:| -3539 (-656 (-227)))
+          (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227)))
            (|:| |lb| (-656 (-855 (-227))))
            (|:| |cf| (-656 (-326 (-227))))
            (|:| |ub| (-656 (-855 (-227))))))
      (|:| |lsa|
           (-2 (|:| |lfn| (-656 (-326 (-227))))
-           (|:| -3539 (-656 (-227)))))))
+           (|:| -3540 (-656 (-227)))))))
    (-5 *1 (-853))))
  ((*1 *1 *2)
   (-12
    (-5 *2
-    (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3539 (-656 (-227)))))
+    (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227)))))
    (-5 *1 (-853))))
  ((*1 *1 *2)
   (-12
    (-5 *2
-    (-2 (|:| |fn| (-326 (-227))) (|:| -3539 (-656 (-227)))
+    (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227)))
      (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227))))
      (|:| |ub| (-656 (-855 (-227))))))
    (-5 *1 (-853))))
@@ -5413,102 +5472,75 @@
  ((*1 *2 *3 *2 *2 *4 *5)
   (-12 (-5 *4 (-99 *2)) (-5 *5 (-1 *2 *2)) (-4 *2 (-1070))
    (-5 *1 (-867 *2 *3)) (-4 *3 (-866 *2))))) 
-(((*1 *2 *1 *3)
-  (-12 (-5 *3 (-1288 *1)) (-4 *1 (-381 *4 *5)) (-4 *4 (-174))
-   (-4 *5 (-1264 *4)) (-5 *2 (-701 *4))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-421 *3 *4)) (-4 *3 (-174)) (-4 *4 (-1264 *3))
-   (-5 *2 (-701 *3))))) 
-(((*1 *2 *3)
-  (-12 (-5 *2 (-1 *3 *4)) (-5 *1 (-695 *4 *3)) (-4 *4 (-1121))
-   (-4 *3 (-1121))))) 
-(((*1 *2 *3 *4 *2)
-  (-12 (-5 *3 (-1 *2 (-783) *2)) (-5 *4 (-783)) (-4 *2 (-1121))
-   (-5 *1 (-690 *2))))
- ((*1 *2 *2)
-  (-12 (-5 *2 (-1 *3 (-783) *3)) (-4 *3 (-1121)) (-5 *1 (-694 *3))))) 
-(((*1 *2 *2) (|partial| -12 (-4 *1 (-1004 *2)) (-4 *2 (-1223))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-1238)) (-5 *2 (-783)) (-5 *1 (-184 *4 *3))
-   (-4 *3 (-686 *4))))) 
-(((*1 *1 *1 *1) (-4 *1 (-673)))) 
+(((*1 *1 *2 *1) (-12 (-5 *1 (-122 *2)) (-4 *2 (-861))))) 
+(((*1 *2 *3 *3 *4 *4 *3 *4 *4 *3 *3 *3)
+  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
+   (-5 *1 (-764))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-1141)) (-5 *1 (-340))))) 
+(((*1 *2 *3 *4)
+  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
+   (-4 *3 (-1086 *5 *6 *7)) (-5 *2 (-656 *4))
+   (-5 *1 (-1093 *5 *6 *7 *3 *4)) (-4 *4 (-1092 *5 *6 *7 *3))))) 
 (((*1 *2 *2)
-  (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2))
-   (-4 *2 (-13 (-442 *3) (-1223)))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-656 (-1237))) (-5 *1 (-536))))) 
-(((*1 *2 *1 *2)
-  (-12 (|has| *1 (-6 -4465)) (-4 *1 (-1276 *2)) (-4 *2 (-1238))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-809 *2)) (-4 *2 (-174))))) 
-(((*1 *2 *1 *3) (-12 (-4 *1 (-34)) (-5 *3 (-783)) (-5 *2 (-112))))
- ((*1 *2 *3 *3)
-  (|partial| -12 (-5 *2 (-112)) (-5 *1 (-1239 *3)) (-4 *3 (-1121))))
- ((*1 *2 *3 *3 *4)
-  (-12 (-5 *4 (-1 (-112) *3 *3)) (-4 *3 (-1121)) (-5 *2 (-112))
-   (-5 *1 (-1239 *3))))) 
-(((*1 *2 *2 *1)
-  (-12 (-5 *2 (-1312 *3 *4)) (-4 *1 (-385 *3 *4)) (-4 *3 (-861))
-   (-4 *4 (-174))))
- ((*1 *1 *1 *1) (|partial| -12 (-4 *1 (-397 *2)) (-4 *2 (-1121))))
- ((*1 *1 *1 *2) (|partial| -12 (-5 *1 (-831 *2)) (-4 *2 (-861))))
- ((*1 *1 *1 *1)
-  (-12 (-4 *1 (-1305 *2 *3)) (-4 *2 (-861)) (-4 *3 (-1070))))
- ((*1 *1 *1 *2)
-  (-12 (-5 *2 (-831 *3)) (-4 *1 (-1305 *3 *4)) (-4 *3 (-861))
-   (-4 *4 (-1070))))
- ((*1 *1 *1 *2)
-  (-12 (-4 *1 (-1305 *2 *3)) (-4 *2 (-861)) (-4 *3 (-1070))))) 
-(((*1 *2 *2 *3)
-  (|partial| -12 (-5 *3 (-783)) (-4 *4 (-13 (-568) (-148)))
-      (-5 *1 (-1258 *4 *2)) (-4 *2 (-1264 *4))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-1170 *3)) (-4 *3 (-1238)) (-5 *2 (-112))))) 
-(((*1 *2 *2) (|partial| -12 (-4 *1 (-1004 *2)) (-4 *2 (-1223))))) 
+  (-12 (-5 *2 (-656 *6)) (-4 *6 (-1086 *3 *4 *5)) (-4 *3 (-568))
+   (-4 *4 (-805)) (-4 *5 (-861)) (-5 *1 (-998 *3 *4 *5 *6))))) 
+(((*1 *1 *1 *1) (-4 *1 (-673)))) 
+(((*1 *2 *1 *3)
+  (-12 (-5 *3 (-518)) (-5 *2 (-703 (-786))) (-5 *1 (-115))))
+ ((*1 *2 *1 *3)
+  (|partial| -12 (-5 *3 (-1179)) (-5 *2 (-786)) (-5 *1 (-115))))
+ ((*1 *1 *2 *3) (-12 (-5 *2 (-518)) (-5 *3 (-1125)) (-5 *1 (-984))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *4 (-1197))
+   (-4 *5 (-13 (-464) (-148) (-1059 (-576)) (-651 (-576))))
+   (-5 *2 (-598 *3)) (-5 *1 (-569 *5 *3))
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@@ -5518,156 +5550,183 @@
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- ((*1 *2 *3 *4)
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-(((*1 *1 *1 *2) (-12 (-5 *2 (-940)) (-4 *1 (-756 *3)) (-4 *3 (-174))))) 
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-(((*1 *2)
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-(((*1 *2 *3 *3 *3 *3 *4)
-  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
+(((*1 *2 *3 *4 *5)
+  (-12 (-5 *5 (-576)) (-4 *6 (-805)) (-4 *7 (-861)) (-4 *8 (-317))
+   (-4 *9 (-968 *8 *6 *7))
+   (-5 *2 (-2 (|:| -3307 (-1193 *9)) (|:| |polval| (-1193 *8))))
+   (-5 *1 (-754 *6 *7 *8 *9)) (-5 *3 (-1193 *9)) (-5 *4 (-1193 *8))))) 
 (((*1 *2 *2)
-  (-12 (-4 *3 (-568)) (-5 *1 (-41 *3 *2))
-   (-4 *2
-    (-13 (-374) (-312)
-     (-10 -8 (-15 -1570 ((-1146 *3 (-624 $)) $))
-      (-15 -1581 ((-1146 *3 (-624 $)) $))
-      (-15 -3569 ($ (-1146 *3 (-624 $)))))))))) 
-(((*1 *2 *1) (-12 (|has| *1 (-6 -4464)) (-4 *1 (-34)) (-5 *2 (-783))))
+  (-12 (-4 *3 (-568)) (-4 *3 (-174)) (-4 *4 (-384 *3))
+   (-4 *5 (-384 *3)) (-5 *1 (-700 *3 *4 *5 *2))
+   (-4 *2 (-699 *3 *4 *5))))) 
+(((*1 *2 *2)
+  (-12 (-5 *2 (-962 *3)) (-4 *3 (-13 (-374) (-1223) (-1023)))
+   (-5 *1 (-178 *3))))) 
+(((*1 *1 *1 *1) (-5 *1 (-876)))) 
+(((*1 *1 *1)
+  (-12 (-4 *1 (-1086 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-805))
+   (-4 *4 (-861)) (-4 *2 (-568))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-112)) (-5 *1 (-1185 *3 *4)) (-14 *3 (-940))
+   (-4 *4 (-1070))))) 
+(((*1 *2 *3 *3 *4)
+  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
+   (-4 *3 (-1086 *5 *6 *7))
+   (-5 *2 (-656 (-2 (|:| |val| *3) (|:| -3988 *4))))
+   (-5 *1 (-1129 *5 *6 *7 *3 *4)) (-4 *4 (-1092 *5 *6 *7 *3))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-38 (-419 (-576))))
+   (-5 *2 (-2 (|:| -3877 (-1178 *4)) (|:| -3889 (-1178 *4))))
+   (-5 *1 (-1183 *4)) (-5 *3 (-1178 *4))))) 
+(((*1 *1 *2 *3)
+  (-12 (-5 *2 (-518)) (-5 *3 (-656 (-890))) (-5 *1 (-495))))) 
+(((*1 *2 *1) (-12 (|has| *1 (-6 -4465)) (-4 *1 (-34)) (-5 *2 (-783))))
  ((*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-256))))
  ((*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-992))))
  ((*1 *2 *1)
@@ -5679,13 +5738,24 @@
 (((*1 *2 *1)
   (-12 (-4 *1 (-1155 *3)) (-4 *3 (-1070))
    (-5 *2
-    (-2 (|:| -3791 (-783)) (|:| |curves| (-783))
+    (-2 (|:| -1793 (-783)) (|:| |curves| (-783))
      (|:| |polygons| (-783)) (|:| |constructs| (-783))))))) 
+(((*1 *2 *3 *4 *5 *6)
+  (-12 (-5 *5 (-656 (-656 (-3 (|:| |array| *6) (|:| |scalar| *3)))))
+   (-5 *4 (-656 (-3 (|:| |array| (-656 *3)) (|:| |scalar| (-1197)))))
+   (-5 *6 (-656 (-1197))) (-5 *3 (-1197)) (-5 *2 (-1125))
+   (-5 *1 (-409))))
+ ((*1 *2 *3 *4 *5 *6 *3)
+  (-12 (-5 *5 (-656 (-656 (-3 (|:| |array| *6) (|:| |scalar| *3)))))
+   (-5 *4 (-656 (-3 (|:| |array| (-656 *3)) (|:| |scalar| (-1197)))))
+   (-5 *6 (-656 (-1197))) (-5 *3 (-1197)) (-5 *2 (-1125))
+   (-5 *1 (-409))))
+ ((*1 *2 *3 *4 *5 *4)
+  (-12 (-5 *4 (-656 (-1197))) (-5 *5 (-1200)) (-5 *3 (-1197))
+   (-5 *2 (-1125)) (-5 *1 (-409))))) 
+(((*1 *2) (-12 (-5 *2 (-1179)) (-5 *1 (-246))))) 
 (((*1 *2 *1)
-  (-12 (-5 *2 (-656 (-656 (-783)))) (-5 *1 (-923 *3)) (-4 *3 (-1121))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 *6)) (-5 *4 (-1197)) (-4 *6 (-442 *5))
-   (-4 *5 (-1121)) (-5 *2 (-656 (-624 *6))) (-5 *1 (-585 *5 *6))))) 
+  (-12 (-4 *3 (-1070)) (-5 *2 (-656 *1)) (-4 *1 (-1155 *3))))) 
 (((*1 *1 *2) (-12 (-5 *2 (-656 *1)) (-4 *1 (-464))))
  ((*1 *1 *1 *1) (-4 *1 (-464)))
  ((*1 *2 *3)
@@ -5714,91 +5784,74 @@
  ((*1 *2 *2 *1)
   (-12 (-4 *1 (-1086 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-805))
    (-4 *4 (-861)) (-4 *2 (-464))))) 
-(((*1 *1 *2 *3 *4)
-  (-12 (-5 *3 (-576)) (-5 *4 (-3 "nil" "sqfr" "irred" "prime"))
-   (-5 *1 (-430 *2)) (-4 *2 (-568))))) 
-(((*1 *2 *2 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1238))))) 
-(((*1 *1 *1 *1 *2)
-  (-12 (-5 *2 (-1 *3 *3 *3 *3 *3)) (-4 *3 (-1121)) (-5 *1 (-103 *3))))
- ((*1 *2 *1 *3)
-  (-12 (-5 *3 (-1 *2 *2 *2)) (-5 *1 (-103 *2)) (-4 *2 (-1121))))) 
-(((*1 *1 *1)
-  (-12 (-4 *1 (-1086 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-805))
-   (-4 *4 (-861)) (-4 *2 (-464))))) 
-(((*1 *1 *2)
-  (-12 (-5 *2 (-1 (-227) (-227) (-227) (-227))) (-5 *1 (-270))))
- ((*1 *1 *2) (-12 (-5 *2 (-1 (-227) (-227) (-227))) (-5 *1 (-270))))
- ((*1 *1 *2) (-12 (-5 *2 (-1 (-227) (-227))) (-5 *1 (-270))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1141)) (-5 *1 (-855 *3)) (-4 *3 (-1121))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
+(((*1 *1 *1 *1) (-4 *1 (-312))) ((*1 *1 *1) (-4 *1 (-312)))) 
+(((*1 *2 *3 *3 *4 *3 *5 *3 *5 *4 *5 *5 *4 *4 *5 *3)
+  (-12 (-5 *4 (-701 (-227))) (-5 *5 (-701 (-576))) (-5 *3 (-576))
+   (-5 *2 (-1056)) (-5 *1 (-768))))) 
+(((*1 *2 *2 *2 *3)
+  (-12 (-5 *3 (-783)) (-4 *4 (-568)) (-5 *1 (-990 *4 *2))
+   (-4 *2 (-1264 *4))))) 
+(((*1 *2 *2 *3) (-12 (-5 *3 (-576)) (-5 *1 (-1212 *2)) (-4 *2 (-374))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-304 (-971 (-576))))
+  (-12 (-4 *4 (-1070))
+   (-4 *2 (-13 (-416) (-1059 *4) (-374) (-1223) (-294)))
+   (-5 *1 (-455 *4 *3 *2)) (-4 *3 (-1264 *4))))) 
+(((*1 *2 *1 *1)
+  (-12
    (-5 *2
-    (-2 (|:| |varOrder| (-656 (-1197)))
-     (|:| |inhom| (-3 (-656 (-1288 (-783))) "failed"))
-     (|:| |hom| (-656 (-1288 (-783))))))
-   (-5 *1 (-241))))) 
-(((*1 *2 *2 *2 *2)
-  (-12 (-4 *2 (-13 (-374) (-10 -8 (-15 ** ($ $ (-419 (-576)))))))
-   (-5 *1 (-1149 *3 *2)) (-4 *3 (-1264 *2))))) 
-(((*1 *2 *1)
-  (-12 (-4 *1 (-997 *3 *4 *5 *6)) (-4 *3 (-1070)) (-4 *4 (-805))
-   (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5)) (-4 *3 (-568))
-   (-5 *2 (-112))))) 
+    (-2 (|:| -1714 *3) (|:| |gap| (-783)) (|:| -2715 (-794 *3))
+     (|:| -3624 (-794 *3))))
+   (-5 *1 (-794 *3)) (-4 *3 (-1070))))
+ ((*1 *2 *1 *1 *3)
+  (-12 (-4 *4 (-1070)) (-4 *5 (-805)) (-4 *3 (-861))
+   (-5 *2
+    (-2 (|:| -1714 *1) (|:| |gap| (-783)) (|:| -2715 *1)
+     (|:| -3624 *1)))
+   (-4 *1 (-1086 *4 *5 *3))))
+ ((*1 *2 *1 *1)
+  (-12 (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861))
+   (-5 *2
+    (-2 (|:| -1714 *1) (|:| |gap| (-783)) (|:| -2715 *1)
+     (|:| -3624 *1)))
+   (-4 *1 (-1086 *3 *4 *5))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-876)) (-5 *2 (-1179)) (-5 *1 (-722))))) 
 (((*1 *2 *1 *1) (-12 (-4 *1 (-102)) (-5 *2 (-112))))
  ((*1 *1 *1 *1) (-5 *1 (-876)))) 
-(((*1 *2 *3 *2 *4)
-  (-12 (-5 *3 (-701 *2)) (-5 *4 (-783))
-   (-4 *2 (-13 (-317) (-10 -8 (-15 -1770 ((-430 $) $)))))
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-(((*1 *1 *1 *1)
-  (-12 (|has| *1 (-6 -4465)) (-4 *1 (-249 *2)) (-4 *2 (-1238))))) 
+(((*1 *2 *3 *4 *5 *3 *6 *3)
+  (-12 (-5 *3 (-576)) (-5 *5 (-171 (-227))) (-5 *6 (-1179))
+   (-5 *4 (-227)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
 (((*1 *2 *1)
-  (|partial| -12 (-4 *1 (-1271 *3 *2)) (-4 *3 (-1070))
-      (-4 *2 (-1248 *3))))) 
+  (-12 (-5 *2 (-419 (-971 *3))) (-5 *1 (-465 *3 *4 *5 *6))
+   (-4 *3 (-568)) (-4 *3 (-174)) (-14 *4 (-940))
+   (-14 *5 (-656 (-1197))) (-14 *6 (-1288 (-701 *3)))))) 
+(((*1 *1 *1) (-12 (-4 *1 (-686 *2)) (-4 *2 (-1238))))) 
 (((*1 *1 *1 *1) (-12 (-5 *1 (-656 *2)) (-4 *2 (-1238))))) 
-(((*1 *1 *1)
-  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
-(((*1 *1 *2 *3 *1)
-  (-12 (-5 *2 (-1113 (-971 (-576)))) (-5 *3 (-971 (-576)))
-   (-5 *1 (-340))))
- ((*1 *1 *2 *1) (-12 (-5 *2 (-1113 (-971 (-576)))) (-5 *1 (-340))))) 
+(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *4)
+  (-12 (-5 *3 (-1179)) (-5 *4 (-576)) (-5 *5 (-701 (-227)))
+   (-5 *2 (-1056)) (-5 *1 (-766))))) 
+(((*1 *2 *3 *4 *3)
+  (|partial| -12 (-5 *4 (-1 *6 *6)) (-4 *6 (-1264 *5)) (-4 *5 (-374))
+      (-5 *2 (-2 (|:| -1698 (-419 *6)) (|:| |coeff| (-419 *6))))
+      (-5 *1 (-586 *5 *6)) (-5 *3 (-419 *6))))) 
 (((*1 *1 *2 *3) (-12 (-5 *2 (-1125)) (-5 *3 (-786)) (-5 *1 (-52))))) 
-(((*1 *2 *3 *4 *5 *6 *7 *7 *8)
-  (-12
-   (-5 *3
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-     (|:| |cols| (-656 (-576)))))
-   (-5 *4 (-701 *12)) (-5 *5 (-656 (-419 (-971 *9))))
-   (-5 *6 (-656 (-656 *12))) (-5 *7 (-783)) (-5 *8 (-576))
-   (-4 *9 (-13 (-317) (-148))) (-4 *12 (-968 *9 *11 *10))
-   (-4 *10 (-13 (-861) (-626 (-1197)))) (-4 *11 (-805))
-   (-5 *2
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-     (|:| |wcond| (-656 (-971 *9)))
-     (|:| |bsoln|
-          (-2 (|:| |partsol| (-1288 (-419 (-971 *9))))
-           (|:| -3454 (-656 (-1288 (-419 (-971 *9)))))))))
-   (-5 *1 (-943 *9 *10 *11 *12))))) 
-(((*1 *2) (-12 (-5 *2 (-131)) (-5 *1 (-1207))))) 
-(((*1 *2 *3 *3 *4 *5 *5)
-  (-12 (-5 *5 (-112)) (-4 *6 (-464)) (-4 *7 (-805)) (-4 *8 (-861))
-   (-4 *3 (-1086 *6 *7 *8))
-   (-5 *2 (-656 (-2 (|:| |val| *3) (|:| -3987 *4))))
-   (-5 *1 (-1129 *6 *7 *8 *3 *4)) (-4 *4 (-1092 *6 *7 *8 *3))))
- ((*1 *2 *3 *4 *5)
-  (-12 (-5 *3 (-656 (-2 (|:| |val| (-656 *8)) (|:| -3987 *9))))
-   (-5 *5 (-112)) (-4 *8 (-1086 *6 *7 *4)) (-4 *9 (-1092 *6 *7 *4 *8))
-   (-4 *6 (-464)) (-4 *7 (-805)) (-4 *4 (-861))
-   (-5 *2 (-656 (-2 (|:| |val| *8) (|:| -3987 *9))))
-   (-5 *1 (-1129 *6 *7 *4 *8 *9))))) 
-(((*1 *1 *2 *3)
-  (-12 (-5 *2 (-783)) (-4 *3 (-1070)) (-4 *1 (-699 *3 *4 *5))
-   (-4 *4 (-384 *3)) (-4 *5 (-384 *3))))
- ((*1 *1 *2)
-  (-12 (-4 *2 (-1070)) (-4 *1 (-1144 *3 *2 *4 *5)) (-4 *4 (-243 *3 *2))
-   (-4 *5 (-243 *3 *2))))) 
-(((*1 *1 *2 *3) (-12 (-5 *2 (-783)) (-5 *1 (-59 *3)) (-4 *3 (-1238))))
- ((*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-1238)) (-5 *1 (-59 *3))))) 
+(((*1 *2 *3 *3)
+  (-12 (-4 *4 (-568))
+   (-5 *2 (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| -3230 *4)))
+   (-5 *1 (-990 *4 *3)) (-4 *3 (-1264 *4))))) 
+(((*1 *2 *3 *4)
+  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
+   (-4 *3 (-1086 *5 *6 *7)) (-5 *2 (-656 *4))
+   (-5 *1 (-1129 *5 *6 *7 *3 *4)) (-4 *4 (-1092 *5 *6 *7 *3))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-326 (-227))) (-5 *1 (-276))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1223)))))) 
+(((*1 *2 *3 *4 *5)
+  (-12 (-5 *3 (-1193 *9)) (-5 *4 (-656 *7)) (-5 *5 (-656 *8))
+   (-4 *7 (-861)) (-4 *8 (-1070)) (-4 *9 (-968 *8 *6 *7))
+   (-4 *6 (-805)) (-5 *2 (-1193 *8)) (-5 *1 (-331 *6 *7 *8 *9))))) 
 (((*1 *1 *1 *2)
   (|partial| -12 (-4 *1 (-167 *2)) (-4 *2 (-174)) (-4 *2 (-568))))
  ((*1 *1 *1 *2)
@@ -5820,176 +5873,102 @@
       (-4 *5 (-243 *4 *2)) (-4 *6 (-243 *3 *2)) (-4 *2 (-568))))
  ((*1 *2 *2 *2)
   (|partial| -12 (-5 *2 (-1178 *3)) (-4 *3 (-1070)) (-5 *1 (-1181 *3))))) 
+(((*1 *1 *1 *1) (-4 *1 (-557)))) 
+(((*1 *1 *1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-337 *3)) (-4 *3 (-1238))))
+ ((*1 *1 *1 *2)
+  (-12 (-5 *2 (-576)) (-5 *1 (-528 *3 *4)) (-4 *3 (-1238)) (-14 *4 *2)))) 
+(((*1 *2 *3 *3 *3 *4 *5)
+  (-12 (-5 *5 (-656 (-656 (-227)))) (-5 *4 (-227))
+   (-5 *2 (-656 (-962 *4))) (-5 *1 (-1234)) (-5 *3 (-962 *4))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-665 (-419 *2))) (-4 *2 (-1264 *4)) (-5 *1 (-822 *4 *2))
-   (-4 *4 (-13 (-374) (-148) (-1059 (-576)) (-1059 (-419 (-576)))))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-666 *2 (-419 *2))) (-4 *2 (-1264 *4))
-   (-5 *1 (-822 *4 *2))
-   (-4 *4 (-13 (-374) (-148) (-1059 (-576)) (-1059 (-419 (-576)))))))) 
-(((*1 *2 *3)
-  (-12 (-5 *2 (-1 (-962 *3) (-962 *3))) (-5 *1 (-178 *3))
-   (-4 *3 (-13 (-374) (-1223) (-1023)))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-809 *2)) (-4 *2 (-174))))
- ((*1 *2 *1) (-12 (-4 *1 (-1018 *2)) (-4 *2 (-174))))) 
-(((*1 *2 *3 *1)
-  (-12 (-4 *4 (-374)) (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))
-   (-5 *1 (-516 *4 *5 *6 *3)) (-4 *3 (-968 *4 *5 *6))))) 
-(((*1 *2 *1 *3) (-12 (-4 *1 (-312)) (-5 *3 (-1197)) (-5 *2 (-112))))
- ((*1 *2 *1 *1) (-12 (-4 *1 (-312)) (-5 *2 (-112))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-437 *3)) (-4 *3 (-1121)) (-5 *2 (-783))))) 
-(((*1 *1 *2)
-  (-12 (-5 *2 (-656 (-576))) (-5 *1 (-1025 *3)) (-14 *3 (-576))))) 
-(((*1 *2 *3 *4 *4 *4 *5 *4 *6 *6 *3)
-  (-12 (-5 *4 (-701 (-227))) (-5 *5 (-701 (-576))) (-5 *6 (-227))
-   (-5 *3 (-576)) (-5 *2 (-1056)) (-5 *1 (-763))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-945))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-940)) (-5 *2 (-923 (-576))) (-5 *1 (-936))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-576))) (-5 *2 (-923 (-576))) (-5 *1 (-936))))) 
+  (-12 (-5 *3 (-253 *4 *5)) (-14 *4 (-656 (-1197))) (-4 *5 (-1070))
+   (-5 *2 (-971 *5)) (-5 *1 (-963 *4 *5))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-378 *3)) (-4 *3 (-174)) (-4 *3 (-568))
+   (-5 *2 (-1193 *3))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *2 (-701 *3)) (-4 *3 (-317)) (-5 *1 (-712 *3))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-1142 *2)) (-4 *2 (-1238))))) 
+(((*1 *2 *1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-173))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-992)) (-5 *1 (-924 *3)) (-4 *3 (-1121))))) 
+(((*1 *1 *1 *2)
+  (-12 (-5 *2 (-1255 (-576))) (-4 *1 (-663 *3)) (-4 *3 (-1238))))
+ ((*1 *1 *1 *2) (-12 (-5 *2 (-576)) (-4 *1 (-663 *3)) (-4 *3 (-1238))))) 
 (((*1 *2 *1 *1)
   (|partial| -12 (-5 *2 (-2 (|:| |lm| (-831 *3)) (|:| |rm| (-831 *3))))
       (-5 *1 (-831 *3)) (-4 *3 (-861))))
  ((*1 *1 *1 *1) (-5 *1 (-876)))) 
-(((*1 *1 *1 *2)
-  (-12 (-5 *2 (-1255 (-576))) (-4 *1 (-663 *3)) (-4 *3 (-1238))))
- ((*1 *1 *1 *2) (-12 (-5 *2 (-576)) (-4 *1 (-663 *3)) (-4 *3 (-1238))))) 
+(((*1 *2 *3)
+  (-12 (-5 *2 (-1 (-962 *3) (-962 *3))) (-5 *1 (-178 *3))
+   (-4 *3 (-13 (-374) (-1223) (-1023)))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-112)) (-5 *1 (-1185 *3 *4)) (-14 *3 (-940))
+   (-4 *4 (-1070))))) 
+(((*1 *2 *1)
+  (-12 (-4 *3 (-464)) (-4 *4 (-861)) (-4 *5 (-805)) (-5 *2 (-656 *6))
+   (-5 *1 (-1008 *3 *4 *5 *6)) (-4 *6 (-968 *3 *5 *4))))) 
+(((*1 *1 *2) (-12 (-5 *1 (-703 *2)) (-4 *2 (-625 (-876)))))) 
+(((*1 *2)
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+   (-4 *3 (-568)) (-4 *3 (-174)) (-14 *4 (-940))
+   (-14 *5 (-656 (-1197))) (-14 *6 (-1288 (-701 *3)))))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *3 (-924 (-576))) (-5 *4 (-576)) (-5 *2 (-701 *4))
-   (-5 *1 (-1049 *5)) (-4 *5 (-1070))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-576))) (-5 *2 (-701 (-576))) (-5 *1 (-1049 *4))
-   (-4 *4 (-1070))))
+  (-12 (-5 *4 (-112)) (-4 *5 (-13 (-317) (-148))) (-4 *6 (-805))
+   (-4 *7 (-861)) (-4 *8 (-1086 *5 *6 *7)) (-5 *2 (-656 *3))
+   (-5 *1 (-603 *5 *6 *7 *8 *3)) (-4 *3 (-1130 *5 *6 *7 *8))))
  ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 (-924 (-576)))) (-5 *4 (-576))
-   (-5 *2 (-656 (-701 *4))) (-5 *1 (-1049 *5)) (-4 *5 (-1070))))
+  (-12 (-5 *4 (-112)) (-4 *5 (-13 (-317) (-148)))
+   (-5 *2
+    (-656 (-2 (|:| -3119 (-1193 *5)) (|:| -4152 (-656 (-971 *5))))))
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+   (-14 *6 (-656 (-1197)))))
  ((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-656 (-576)))) (-5 *2 (-656 (-701 (-576))))
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-(((*1 *2 *3 *4)
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 (((*1 *2 *3 *4)
   (-12 (-5 *4 (-783)) (-5 *2 (-656 (-1197))) (-5 *1 (-212))
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@@ -6021,236 +6000,67 @@
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 (((*1 *1 *1 *1) (-12 (-5 *1 (-304 *2)) (-4 *2 (-312)) (-4 *2 (-1238))))
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+   (-5 *7 (-3 (|:| |fn| (-400)) (|:| |fp| (-89 G))))
+   (-5 *8 (-3 (|:| |fn| (-400)) (|:| |fp| (-86 FCN))))
+   (-5 *9 (-3 (|:| |fn| (-400)) (|:| |fp| (-71 PEDERV))))
+   (-5 *10 (-3 (|:| |fn| (-400)) (|:| |fp| (-88 OUTPUT))))
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+(((*1 *1) (-5 *1 (-142))) ((*1 *1 *1) (-5 *1 (-145)))
+ ((*1 *1 *1) (-4 *1 (-1165)))) 
+(((*1 *2 *3 *4)
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 (((*1 *1 *1 *2 *3)
   (-12 (-5 *2 (-656 (-1197))) (-5 *3 (-1197)) (-5 *1 (-548))))
  ((*1 *2 *3 *2)
@@ -6700,26 +6508,69 @@
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-(((*1 *2 *2) (-12 (-5 *2 (-940)) (|has| *1 (-6 -4455)) (-4 *1 (-416))))
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+   (-5 *2
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+     (-2 (|:| |leftHandLimit| (-3 (-855 *3) "failed"))
+      (|:| |rightHandLimit| (-3 (-855 *3) "failed")))
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+      (|:| |rightHandLimit| (-3 (-855 (-419 (-971 *5))) "failed")))
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+  (-12 (-5 *2 (-1 (-962 *3) (-962 *3))) (-5 *1 (-178 *3))
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+ ((*1 *2)
+  (|partial| -12 (-4 *4 (-1242)) (-4 *5 (-1264 (-419 *2)))
+      (-4 *2 (-1264 *4)) (-5 *1 (-352 *3 *4 *2 *5))
+      (-4 *3 (-353 *4 *2 *5))))
+ ((*1 *2)
+  (|partial| -12 (-4 *1 (-353 *3 *2 *4)) (-4 *3 (-1242))
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 (((*1 *2 *3 *4)
   (-12 (-5 *3 (-853)) (-5 *4 (-1084)) (-5 *2 (-1056)) (-5 *1 (-852))))
  ((*1 *2 *3) (-12 (-5 *3 (-853)) (-5 *2 (-1056)) (-5 *1 (-852))))
@@ -6736,89 +6587,68 @@
  ((*1 *2 *3 *4)
   (-12 (-5 *3 (-656 (-326 (-390)))) (-5 *4 (-656 (-390)))
    (-5 *2 (-1056)) (-5 *1 (-852))))) 
-(((*1 *1 *2 *3)
-  (-12 (-5 *2 (-656 *3)) (-4 *3 (-968 *4 *6 *5)) (-4 *4 (-464))
-   (-4 *5 (-861)) (-4 *6 (-805)) (-5 *1 (-1008 *4 *5 *6 *3))))) 
-(((*1 *2 *3 *4 *5)
-  (-12 (-5 *4 (-1197)) (-5 *5 (-1115 (-227))) (-5 *2 (-946))
-   (-5 *1 (-944 *3)) (-4 *3 (-626 (-548)))))
- ((*1 *2 *3 *3 *4 *5)
-  (-12 (-5 *4 (-1197)) (-5 *5 (-1115 (-227))) (-5 *2 (-946))
-   (-5 *1 (-944 *3)) (-4 *3 (-626 (-548)))))
- ((*1 *1 *1 *2) (-12 (-5 *2 (-1115 (-227))) (-5 *1 (-945))))
- ((*1 *1 *2 *2 *2 *2 *3 *3 *3 *3)
-  (-12 (-5 *2 (-1 (-227) (-227))) (-5 *3 (-1115 (-227)))
-   (-5 *1 (-945))))
- ((*1 *1 *2 *2 *2 *2 *3)
-  (-12 (-5 *2 (-1 (-227) (-227))) (-5 *3 (-1115 (-227)))
-   (-5 *1 (-945))))
- ((*1 *1 *1 *2) (-12 (-5 *2 (-1115 (-227))) (-5 *1 (-946))))
- ((*1 *1 *2 *2 *3 *3 *3)
-  (-12 (-5 *2 (-1 (-227) (-227))) (-5 *3 (-1115 (-227)))
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- ((*1 *1 *2 *2 *3)
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-   (-5 *1 (-946))))
- ((*1 *1 *2 *3 *3)
-  (-12 (-5 *2 (-656 (-1 (-227) (-227)))) (-5 *3 (-1115 (-227)))
-   (-5 *1 (-946))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-656 (-1 (-227) (-227)))) (-5 *3 (-1115 (-227)))
-   (-5 *1 (-946))))
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-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-135))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-833))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-809 *2)) (-4 *2 (-174))))) 
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 (((*1 *2 *3 *4)
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-   (-4 *3 (-13 (-27) (-1223) (-442 *5)))))) 
-(((*1 *2 *1 *1)
+  (-12 (-5 *4 (-576)) (-4 *5 (-360)) (-5 *2 (-430 (-1193 (-1193 *5))))
+   (-5 *1 (-1236 *5)) (-5 *3 (-1193 (-1193 *5)))))) 
+(((*1 *1 *1)
+  (|partial| -12 (-5 *1 (-304 *2)) (-4 *2 (-738)) (-4 *2 (-1238))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-13 (-317) (-148))) (-4 *4 (-13 (-861) (-626 (-1197))))
+   (-4 *5 (-805)) (-5 *1 (-943 *3 *4 *5 *2)) (-4 *2 (-968 *3 *5 *4))))) 
+(((*1 *2 *3)
   (-12
+   (-5 *3
+    (-656 (-2 (|:| -4240 (-419 (-576))) (|:| -4250 (-419 (-576))))))
+   (-5 *2 (-656 (-419 (-576)))) (-5 *1 (-1041 *4))
+   (-4 *4 (-1264 (-576)))))) 
+(((*1 *2 *1) (|partial| -12 (-5 *2 (-656 (-289))) (-5 *1 (-289))))
+ ((*1 *2 *1) (-12 (-5 *2 (-656 (-1202))) (-5 *1 (-1202))))) 
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+  (-12 (-5 *3 (-1 *6 *5 *4)) (-4 *5 (-1121)) (-4 *4 (-1121))
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-(((*1 *1 *2 *1)
-  (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23))
-   (-14 *4 *3)))) 
+    (-2 (|:| A (-701 *5))
+     (|:| |eqs|
+          (-656
+           (-2 (|:| C (-701 *5)) (|:| |g| (-1288 *5)) (|:| -4027 *6)
+            (|:| |rh| *5))))))
+   (-5 *1 (-825 *5 *6)) (-5 *3 (-701 *5)) (-5 *4 (-1288 *5))
+   (-4 *6 (-668 *5))))
+ ((*1 *2 *3 *4)
+  (-12 (-4 *5 (-374)) (-4 *6 (-668 *5))
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+   (-5 *1 (-825 *5 *6)) (-5 *3 (-701 *6)) (-5 *4 (-1288 *5))))) 
+(((*1 *2 *3 *1)
+  (-12 (-5 *3 (-1 (-112) *4)) (|has| *1 (-6 -4465)) (-4 *1 (-501 *4))
+   (-4 *4 (-1238)) (-5 *2 (-112))))) 
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+  (-12 (-5 *2 (-656 (-1224 *3))) (-5 *1 (-1224 *3)) (-4 *3 (-1121))))) 
+(((*1 *1 *1 *1) (-12 (-4 *1 (-1119 *2)) (-4 *2 (-1121))))) 
+(((*1 *2 *3 *4 *3 *5 *5 *5 *5 *5)
+  (|partial| -12 (-5 *5 (-112)) (-4 *6 (-464)) (-4 *7 (-805))
+      (-4 *8 (-861)) (-4 *9 (-1086 *6 *7 *8))
+      (-5 *2
+       (-2 (|:| -4027 (-656 *9)) (|:| -3988 *4) (|:| |ineq| (-656 *9))))
+      (-5 *1 (-1009 *6 *7 *8 *9 *4)) (-5 *3 (-656 *9))
+      (-4 *4 (-1092 *6 *7 *8 *9))))
+ ((*1 *2 *3 *4 *3 *5 *5 *5 *5 *5)
+  (|partial| -12 (-5 *5 (-112)) (-4 *6 (-464)) (-4 *7 (-805))
+      (-4 *8 (-861)) (-4 *9 (-1086 *6 *7 *8))
+      (-5 *2
+       (-2 (|:| -4027 (-656 *9)) (|:| -3988 *4) (|:| |ineq| (-656 *9))))
+      (-5 *1 (-1128 *6 *7 *8 *9 *4)) (-5 *3 (-656 *9))
+      (-4 *4 (-1092 *6 *7 *8 *9))))) 
+(((*1 *1 *1 *2)
+  (-12 (-4 *1 (-997 *3 *4 *2 *5)) (-4 *3 (-1070)) (-4 *4 (-805))
+   (-4 *2 (-861)) (-4 *5 (-1086 *3 *4 *2))))) 
+(((*1 *1 *1) (-12 (-5 *1 (-933 *2)) (-4 *2 (-317))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-573))))) 
 (((*1 *2 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-322)) (-5 *1 (-306))))
  ((*1 *2 *3)
   (-12 (-5 *3 (-656 (-1179))) (-5 *2 (-322)) (-5 *1 (-306))))
@@ -6826,180 +6656,193 @@
  ((*1 *2 *3 *4)
   (-12 (-5 *4 (-656 (-1179))) (-5 *3 (-1179)) (-5 *2 (-322))
    (-5 *1 (-306))))) 
-(((*1 *2 *1)
-  (-12 (-4 *1 (-1144 *3 *4 *2 *5)) (-4 *4 (-1070)) (-4 *5 (-243 *3 *4))
-   (-4 *2 (-243 *3 *4))))) 
-(((*1 *2 *1)
-  (-12 (-5 *2 (-656 (-924 *3))) (-5 *1 (-923 *3)) (-4 *3 (-1121))))) 
+(((*1 *2 *3)
+  (-12 (-5 *2 (-1193 (-576))) (-5 *1 (-961)) (-5 *3 (-576))))) 
+(((*1 *2 *2)
+  (-12 (-5 *2 (-656 (-493 *3 *4))) (-14 *3 (-656 (-1197)))
+   (-4 *4 (-464)) (-5 *1 (-643 *3 *4))))) 
 (((*1 *2 *3) (-12 (-5 *3 (-548)) (-5 *1 (-547 *2)) (-4 *2 (-1238))))
  ((*1 *2 *1) (-12 (-5 *2 (-52)) (-5 *1 (-548))))) 
-(((*1 *2 *1)
-  (-12 (-4 *1 (-260 *3 *4 *5 *6)) (-4 *3 (-1070)) (-4 *4 (-861))
-   (-4 *5 (-275 *4)) (-4 *6 (-805)) (-5 *2 (-783))))
- ((*1 *2 *1 *3)
-  (-12 (-4 *1 (-260 *4 *3 *5 *6)) (-4 *4 (-1070)) (-4 *3 (-861))
-   (-4 *5 (-275 *3)) (-4 *6 (-805)) (-5 *2 (-783))))
- ((*1 *2 *1) (-12 (-4 *1 (-275 *3)) (-4 *3 (-861)) (-5 *2 (-783))))
- ((*1 *2 *1) (-12 (-4 *1 (-360)) (-5 *2 (-940))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-347 *4 *5 *6 *7)) (-4 *4 (-13 (-379) (-374)))
-   (-4 *5 (-1264 *4)) (-4 *6 (-1264 (-419 *5))) (-4 *7 (-353 *4 *5 *6))
-   (-5 *2 (-783)) (-5 *1 (-404 *4 *5 *6 *7))))
- ((*1 *2 *1) (-12 (-4 *1 (-414)) (-5 *2 (-845 (-940)))))
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- ((*1 *2 *1 *2) (-12 (-5 *2 (-783)) (-5 *1 (-608 *3)) (-4 *3 (-1070))))
- ((*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-608 *3)) (-4 *3 (-1070))))
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-  (-12 (-5 *2 (-783)) (-4 *1 (-752 *4 *3)) (-4 *4 (-1070))
-   (-4 *3 (-861))))
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+  (-12 (-5 *2 (-1 *3 *3)) (-4 *1 (-333 *3 *4)) (-4 *3 (-1121))
+   (-4 *4 (-132))))
+ ((*1 *1 *2 *1)
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+ ((*1 *1 *2 *1)
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+ ((*1 *1 *2 *1)
+  (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1121)) (-5 *1 (-661 *3 *4 *5))
+   (-4 *4 (-23)) (-14 *5 *4)))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-3 (-419 (-971 *5)) (-1186 (-1197) (-971 *5))))
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+ ((*1 *2 *1) (-12 (-5 *2 (-576)) (-5 *1 (-924 *3)) (-4 *3 (-1121))))
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+  (-12 (-4 *1 (-1089 *4 *3)) (-4 *4 (-13 (-860) (-374)))
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-      (-5 *2 (-783)) (-5 *1 (-930 *4 *5 *6 *7 *8))))
+  (|partial| -12 (-4 *4 (-13 (-568) (-1059 *2) (-651 *2) (-464)))
+      (-5 *2 (-576)) (-5 *1 (-1137 *4 *3))
+      (-4 *3 (-13 (-27) (-1223) (-442 *4)))))
+ ((*1 *2 *3 *4 *5)
+  (|partial| -12 (-5 *4 (-1197)) (-5 *5 (-855 *3))
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+      (-5 *1 (-1137 *6 *3))))
+ ((*1 *2 *3 *4 *3 *5)
+  (|partial| -12 (-5 *4 (-1197)) (-5 *5 (-1179))
+      (-4 *6 (-13 (-568) (-1059 *2) (-651 *2) (-464))) (-5 *2 (-576))
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-      (-4 *6 (-353 (-419 (-576)) *4 *5)) (-5 *2 (-783))
-      (-5 *1 (-931 *4 *5 *6))))
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-(((*1 *2 *3 *4 *5 *6 *7 *8 *9)
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+ ((*1 *2 *3 *4 *3 *5)
+  (|partial| -12 (-5 *3 (-419 (-971 *6))) (-5 *4 (-1197))
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+ ((*1 *2 *3)
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 (((*1 *2 *3)
-  (-12
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-   (-5 *2 (-576)) (-5 *1 (-206))))) 
-(((*1 *1 *1 *2) (-12 (-5 *2 (-227)) (-5 *1 (-30))))
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+(((*1 *2 *2 *3)
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- ((*1 *2 *3 *2 *2)
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+      (-15 -3055 ((-3 $ "failed") (-1197))))))
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+ ((*1 *2 *2 *3)
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 (((*1 *2 *2 *3)
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-   (-5 *5 (-3 (|:| |fn| (-400)) (|:| |fp| (-63 LSFUN2))))
-   (-5 *2 (-1056)) (-5 *1 (-765))))) 
+  (|partial| -12 (-5 *3 (-1197))
+      (-4 *4 (-13 (-464) (-148) (-1059 (-576)) (-651 (-576))))
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 (((*1 *1 *2 *3)
   (-12 (-5 *3 (-1179)) (-4 *1 (-375 *2 *4)) (-4 *2 (-1121))
    (-4 *4 (-1121))))
@@ -7225,264 +7087,176 @@
   (-12 (-5 *2 (-656 *3)) (-4 *3 (-1121)) (-5 *1 (-1224 *3))))
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-   (-5 *1 (-1236 *5)) (-5 *3 (-1193 (-1193 *5)))))) 
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+     (|:| |noa|
+          (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227)))
+           (|:| |lb| (-656 (-855 (-227))))
+           (|:| |cf| (-656 (-326 (-227))))
+           (|:| |ub| (-656 (-855 (-227))))))
+     (|:| |lsa|
+          (-2 (|:| |lfn| (-656 (-326 (-227))))
+           (|:| -3540 (-656 (-227)))))))
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 (((*1 *1 *2 *3)
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 (((*1 *2 *1)
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       (-5 *2
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 (((*1 *2 *3)
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 (((*1 *2 *3 *4)
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-   (-5 *1 (-1131))))) 
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+  (-12 (-5 *4 (-576)) (-4 *2 (-442 *3)) (-5 *1 (-32 *3 *2))
+   (-4 *3 (-1059 *4)) (-4 *3 (-568))))) 
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+  (-12 (-4 *3 (-374)) (-4 *4 (-805)) (-4 *5 (-861)) (-5 *2 (-656 *6))
+   (-5 *1 (-516 *3 *4 *5 *6)) (-4 *6 (-968 *3 *4 *5))))
+ ((*1 *2 *1)
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 (((*1 *1 *2) (-12 (-5 *2 (-940)) (-4 *1 (-379))))
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   (-12 (-5 *3 (-940)) (-5 *2 (-1288 *4)) (-5 *1 (-540 *4))
@@ -7490,84 +7264,98 @@
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-(((*1 *2 *1) (|partial| -12 (-5 *2 (-1193 *1)) (-4 *1 (-1033))))) 
+    (-1 (-112) (-2 (|:| -3224 *2) (|:| -3422 *3))
+     (-2 (|:| -3224 *2) (|:| -3422 *3))))))) 
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+  (-12 (-5 *3 (-1179)) (-5 *4 (-171 (-227))) (-5 *5 (-576))
+   (-5 *2 (-1056)) (-5 *1 (-770))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-1197)) (-5 *2 (-1293)) (-5 *1 (-1200))))
+ ((*1 *2) (-12 (-5 *2 (-1293)) (-5 *1 (-1200))))) 
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+  (-12 (-4 *4 (-568)) (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))
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+   (-4 *3 (-429 *4))))
+ ((*1 *2)
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+ ((*1 *2 *3 *4)
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+ ((*1 *2 *3)
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+  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1023)))))) 
+(((*1 *2 *3 *3)
+  (-12 (-4 *4 (-568))
+   (-5 *2 (-2 (|:| |coef2| *3) (|:| |subResultant| *3)))
+   (-5 *1 (-990 *4 *3)) (-4 *3 (-1264 *4))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *2 (-1288 (-1288 (-576)))) (-5 *3 (-940)) (-5 *1 (-478))))) 
+(((*1 *2 *2 *1) (-12 (-4 *1 (-1016 *2)) (-4 *2 (-1238))))) 
+(((*1 *2) (-12 (-5 *2 (-656 (-1179))) (-5 *1 (-1291))))) 
+(((*1 *1 *1 *2) (-12 (-4 *1 (-1119 *2)) (-4 *2 (-1121))))
+ ((*1 *1 *1 *1) (-12 (-4 *1 (-1119 *2)) (-4 *2 (-1121))))) 
 (((*1 *2 *1)
   (-12
    (-5 *2
     (-656
      (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227)))
-      (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
+      (|:| -2951 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
       (|:| |relerr| (-227)))))
    (-5 *1 (-571))))
  ((*1 *2 *1)
@@ -7583,463 +7371,392 @@
       (|:| |abserr| (-227)) (|:| |relerr| (-227)))))
    (-5 *1 (-815))))) 
 (((*1 *2 *1)
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-   (-4 *3 (-1238))))) 
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-   (-5 *1 (-766))))) 
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-   (-14 *4 *3)))) 
-(((*1 *2 *1)
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-   (-5 *2 (-1179))))) 
-(((*1 *2 *3 *3)
-  (-12 (-5 *2 (-1193 *3)) (-5 *1 (-933 *3)) (-4 *3 (-317))))) 
+  (-12 (-4 *1 (-1155 *3)) (-4 *3 (-1070))
+   (-5 *2 (-656 (-656 (-656 (-783)))))))) 
+(((*1 *1 *1 *1) (-12 (-5 *1 (-985 *2)) (-4 *2 (-1121))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-568)) (-5 *2 (-783)) (-5 *1 (-43 *4 *3))
+   (-4 *3 (-429 *4))))) 
 (((*1 *1 *1)
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-     (|:| |bothSingular| "There are singularities at both end points")
-     (|:| |notEvaluated| "End point continuity not yet evaluated")))
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 (((*1 *2 *1) (-12 (-5 *2 (-576)) (-5 *1 (-872))))
  ((*1 *2 *1) (-12 (-5 *2 (-1125)) (-5 *1 (-984))))
  ((*1 *2 *1) (-12 (-5 *2 (-1179)) (-5 *1 (-1010))))
@@ -8047,89 +7764,117 @@
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+ ((*1 *2 *1)
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- ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-875))))) 
-(((*1 *2) (-12 (-5 *2 (-1293)) (-5 *1 (-448))))) 
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+(((*1 *2 *2 *3)
+  (|partial| -12 (-5 *2 (-656 (-493 *4 *5))) (-5 *3 (-656 (-878 *4)))
+      (-14 *4 (-656 (-1197))) (-4 *5 (-464)) (-5 *1 (-483 *4 *5 *6))
+      (-4 *6 (-464))))) 
+(((*1 *2 *3 *3)
+  (-12 (-4 *4 (-13 (-464) (-148))) (-5 *2 (-430 *3))
+   (-5 *1 (-100 *4 *3)) (-4 *3 (-1264 *4))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *4 (-656 *3)) (-4 *3 (-1264 *5)) (-4 *5 (-13 (-464) (-148)))
+   (-5 *2 (-430 *3)) (-5 *1 (-100 *5 *3))))) 
+(((*1 *2 *3 *3 *4 *3)
+  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
+   (-5 *1 (-767))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-568)) (-5 *2 (-656 *3)) (-5 *1 (-43 *4 *3))
+   (-4 *3 (-429 *4))))) 
 (((*1 *2 *3)
   (-12 (-5 *3 (-1197))
    (-4 *4 (-13 (-464) (-1059 (-576)) (-651 (-576)))) (-5 *2 (-52))
@@ -8198,110 +7943,101 @@
  ((*1 *1 *2)
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    (-4 *3 (-1070)) (-4 *1 (-1279 *3))))) 
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- ((*1 *2 *3)
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-(((*1 *2 *3)
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-   (-5 *2 (-656 *4)) (-5 *1 (-1149 *3 *4)) (-4 *3 (-1264 *4))))
- ((*1 *2 *3 *3 *3 *3)
-  (-12 (-4 *3 (-13 (-374) (-10 -8 (-15 ** ($ $ (-419 (-576)))))))
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-(((*1 *2 *3) (-12 (-5 *3 (-1197)) (-5 *2 (-1293)) (-5 *1 (-1200))))) 
-(((*1 *1 *2 *1)
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- ((*1 *1 *2 *1)
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- ((*1 *1 *2 *1)
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-   (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1121))))) 
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 (((*1 *2 *3 *4)
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+  (-12 (-5 *4 (-1 (-656 *5) *6))
+   (-4 *5 (-13 (-374) (-148) (-1059 (-419 (-576))))) (-4 *6 (-1264 *5))
+   (-5 *2 (-656 (-2 (|:| |poly| *6) (|:| -4027 *3))))
+   (-5 *1 (-821 *5 *6 *3 *7)) (-4 *3 (-668 *6))
+   (-4 *7 (-668 (-419 *6)))))
  ((*1 *2 *3 *4)
-  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
-   (-4 *3 (-1086 *5 *6 *7))
-   (-5 *2 (-656 (-2 (|:| |val| (-112)) (|:| -3987 *4))))
-   (-5 *1 (-1093 *5 *6 *7 *3 *4)) (-4 *4 (-1092 *5 *6 *7 *3))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-568)) (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))
-   (-5 *1 (-998 *4 *5 *6 *3)) (-4 *3 (-1086 *4 *5 *6))))) 
-(((*1 *2 *1 *3 *3 *4 *4)
-  (-12 (-5 *3 (-783)) (-5 *4 (-940)) (-5 *2 (-1293)) (-5 *1 (-1289))))
- ((*1 *2 *1 *3 *3 *4 *4)
-  (-12 (-5 *3 (-783)) (-5 *4 (-940)) (-5 *2 (-1293)) (-5 *1 (-1290))))) 
+  (-12 (-5 *4 (-1 (-656 *5) *6))
+   (-4 *5 (-13 (-374) (-148) (-1059 (-576)) (-1059 (-419 (-576)))))
+   (-4 *6 (-1264 *5))
+   (-5 *2 (-656 (-2 (|:| |poly| *6) (|:| -4027 (-666 *6 (-419 *6))))))
+   (-5 *1 (-824 *5 *6)) (-5 *3 (-666 *6 (-419 *6)))))) 
+(((*1 *1 *1 *1) (-5 *1 (-112))) ((*1 *1 *1 *1) (-4 *1 (-124)))) 
 (((*1 *2 *1)
-  (-12 (-4 *1 (-1155 *3)) (-4 *3 (-1070))
-   (-5 *2 (-656 (-656 (-656 (-783)))))))) 
+  (-12 (-5 *2 (-1178 (-576))) (-5 *1 (-1025 *3)) (-14 *3 (-576))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-393 *3 *4)) (-4 *3 (-1070)) (-4 *4 (-1121))
+   (-5 *2 (-656 (-2 (|:| |k| *4) (|:| |c| *3))))))
+ ((*1 *2 *1)
+  (-12 (-5 *2 (-656 (-2 (|:| |k| (-908 *3)) (|:| |c| *4))))
+   (-5 *1 (-639 *3 *4 *5)) (-4 *3 (-861))
+   (-4 *4 (-13 (-174) (-729 (-419 (-576))))) (-14 *5 (-940))))
+ ((*1 *2 *1)
+  (-12 (-5 *2 (-656 (-684 *3))) (-5 *1 (-908 *3)) (-4 *3 (-861))))) 
 (((*1 *2 *2)
   (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2))
    (-4 *2 (-13 (-442 *3) (-1223)))))) 
-(((*1 *2 *3 *1)
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-   (-4 *1 (-1092 *4 *5 *6 *3))))) 
-(((*1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-945))))) 
-(((*1 *2 *3)
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-   (-5 *1 (-544 *4 *5 *6)) (-4 *5 (-374)) (-4 *6 (-13 (-374) (-860)))))) 
+(((*1 *2 *3) (-12 (-5 *2 (-656 (-576))) (-5 *1 (-458)) (-5 *3 (-576))))) 
+(((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-946))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-656 (-1156))) (-5 *1 (-155))))
+ ((*1 *2 *1) (-12 (-5 *2 (-656 (-1156))) (-5 *1 (-1087))))) 
+(((*1 *2 *2 *2 *2 *3)
+  (-12 (-4 *3 (-568)) (-5 *1 (-990 *3 *2)) (-4 *2 (-1264 *3))))) 
+(((*1 *2 *3 *4 *5 *5)
+  (-12 (-5 *4 (-656 *10)) (-5 *5 (-112)) (-4 *10 (-1092 *6 *7 *8 *9))
+   (-4 *6 (-464)) (-4 *7 (-805)) (-4 *8 (-861))
+   (-4 *9 (-1086 *6 *7 *8))
+   (-5 *2
+    (-656
+     (-2 (|:| -4027 (-656 *9)) (|:| -3988 *10) (|:| |ineq| (-656 *9)))))
+   (-5 *1 (-1009 *6 *7 *8 *9 *10)) (-5 *3 (-656 *9))))
+ ((*1 *2 *3 *4 *5 *5)
+  (-12 (-5 *4 (-656 *10)) (-5 *5 (-112)) (-4 *10 (-1092 *6 *7 *8 *9))
+   (-4 *6 (-464)) (-4 *7 (-805)) (-4 *8 (-861))
+   (-4 *9 (-1086 *6 *7 *8))
+   (-5 *2
+    (-656
+     (-2 (|:| -4027 (-656 *9)) (|:| -3988 *10) (|:| |ineq| (-656 *9)))))
+   (-5 *1 (-1128 *6 *7 *8 *9 *10)) (-5 *3 (-656 *9))))) 
+(((*1 *2 *3 *4 *5 *3)
+  (-12 (-5 *4 (-1 *7 *7))
+   (-5 *5 (-1 (-3 (-2 (|:| -1698 *6) (|:| |coeff| *6)) "failed") *6))
+   (-4 *6 (-374)) (-4 *7 (-1264 *6))
+   (-5 *2
+    (-3 (-2 (|:| |answer| (-419 *7)) (|:| |a0| *6))
+     (-2 (|:| -1698 (-419 *7)) (|:| |coeff| (-419 *7))) "failed"))
+   (-5 *1 (-586 *6 *7)) (-5 *3 (-419 *7))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-656 (-1106))) (-5 *1 (-301))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1023)))))) 
+(((*1 *2 *1 *3) (-12 (-5 *3 (-227)) (-5 *2 (-1293)) (-5 *1 (-834))))) 
+(((*1 *1 *2 *3)
+  (-12 (-5 *2 (-656 (-1237))) (-5 *3 (-1237)) (-5 *1 (-693))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-656 (-1156))) (-5 *1 (-1111))))) 
+(((*1 *1 *1) (-12 (-5 *1 (-304 *2)) (-4 *2 (-21)) (-4 *2 (-1238))))) 
 (((*1 *1 *1 *2)
   (-12 (-4 *1 (-47 *2 *3)) (-4 *2 (-1070)) (-4 *3 (-804))
    (-4 *2 (-374))))
  ((*1 *1 *1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-227))))
  ((*1 *1 *1 *1)
-  (-2758 (-12 (-5 *1 (-304 *2)) (-4 *2 (-374)) (-4 *2 (-1238)))
+  (-2760 (-12 (-5 *1 (-304 *2)) (-4 *2 (-374)) (-4 *2 (-1238)))
    (-12 (-5 *1 (-304 *2)) (-4 *2 (-485)) (-4 *2 (-1238)))))
  ((*1 *1 *1 *1) (-4 *1 (-374)))
  ((*1 *1 *1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-390))))
@@ -8349,12 +8085,10 @@
  ((*1 *1 *1 *2)
   (-12 (-5 *1 (-1311 *2 *3)) (-4 *2 (-374)) (-4 *2 (-1070))
    (-4 *3 (-858))))) 
-(((*1 *2 *3 *4 *5)
-  (-12 (-5 *3 (-326 (-227))) (-5 *4 (-1197))
-   (-5 *5 (-1115 (-855 (-227)))) (-5 *2 (-656 (-227))) (-5 *1 (-194))))
- ((*1 *2 *3 *4 *5)
-  (-12 (-5 *3 (-326 (-227))) (-5 *4 (-1197))
-   (-5 *5 (-1115 (-855 (-227)))) (-5 *2 (-656 (-227))) (-5 *1 (-310))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-1 *5 *5)) (-4 *5 (-1279 *4))
+   (-4 *4 (-38 (-419 (-576)))) (-5 *2 (-1 (-1178 *4) (-1178 *4)))
+   (-5 *1 (-1281 *4 *5))))) 
 (((*1 *2 *1) (-12 (-4 *1 (-275 *2)) (-4 *2 (-861))))
  ((*1 *1 *2)
   (|partial| -12 (-5 *2 (-1197)) (-5 *1 (-878 *3)) (-14 *3 (-656 *2))))
@@ -8367,51 +8101,50 @@
   (-12 (-4 *1 (-1266 *3 *4)) (-4 *3 (-1070)) (-4 *4 (-804))
    (-5 *2 (-1197))))
  ((*1 *2) (-12 (-5 *2 (-1197)) (-5 *1 (-1284 *3)) (-14 *3 *2)))) 
+(((*1 *2 *1 *1)
+  (-12 (-4 *3 (-374)) (-4 *3 (-1070))
+   (-5 *2 (-2 (|:| -2715 *1) (|:| -3624 *1))) (-4 *1 (-866 *3))))
+ ((*1 *2 *3 *3 *4)
+  (-12 (-5 *4 (-99 *5)) (-4 *5 (-374)) (-4 *5 (-1070))
+   (-5 *2 (-2 (|:| -2715 *3) (|:| -3624 *3))) (-5 *1 (-867 *5 *3))
+   (-4 *3 (-866 *5))))) 
+(((*1 *2 *1 *3)
+  (-12 (-5 *3 (-576)) (-4 *1 (-333 *4 *2)) (-4 *4 (-1121))
+   (-4 *2 (-132))))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *3 (-419 (-576))) (-4 *5 (-805)) (-4 *6 (-861))
-   (-4 *7 (-568)) (-4 *8 (-968 *7 *5 *6))
-   (-5 *2 (-2 (|:| -4210 (-783)) (|:| -1714 *9) (|:| |radicand| *9)))
-   (-5 *1 (-972 *5 *6 *7 *8 *9)) (-5 *4 (-783))
-   (-4 *9
-    (-13 (-374)
-     (-10 -8 (-15 -3569 ($ *8)) (-15 -1570 (*8 $)) (-15 -1581 (*8 $)))))))) 
-(((*1 *2 *3) (-12 (-5 *2 (-419 (-576))) (-5 *1 (-573)) (-5 *3 (-576))))) 
-(((*1 *2 *3)
-  (-12 (-5 *2 (-2 (|:| -4046 (-576)) (|:| -1601 (-656 *3))))
-   (-5 *1 (-454 *3)) (-4 *3 (-1264 (-576)))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-419 (-971 *5))) (-5 *4 (-1197))
-   (-4 *5 (-13 (-317) (-148))) (-5 *2 (-656 (-326 *5)))
-   (-5 *1 (-1150 *5))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 (-419 (-971 *5)))) (-5 *4 (-656 (-1197)))
-   (-4 *5 (-13 (-317) (-148))) (-5 *2 (-656 (-656 (-326 *5))))
-   (-5 *1 (-1150 *5))))) 
-(((*1 *2 *3)
-  (|partial| -12 (-5 *3 (-701 (-419 (-971 (-576)))))
-      (-5 *2 (-701 (-326 (-576)))) (-5 *1 (-1052))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *4 (-1 (-656 *5) *6))
-   (-4 *5 (-13 (-374) (-148) (-1059 (-419 (-576))))) (-4 *6 (-1264 *5))
-   (-5 *2 (-656 (-2 (|:| |poly| *6) (|:| -4026 *3))))
-   (-5 *1 (-821 *5 *6 *3 *7)) (-4 *3 (-668 *6))
-   (-4 *7 (-668 (-419 *6)))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *4 (-1 (-656 *5) *6))
-   (-4 *5 (-13 (-374) (-148) (-1059 (-576)) (-1059 (-419 (-576)))))
-   (-4 *6 (-1264 *5))
-   (-5 *2 (-656 (-2 (|:| |poly| *6) (|:| -4026 (-666 *6 (-419 *6))))))
-   (-5 *1 (-824 *5 *6)) (-5 *3 (-666 *6 (-419 *6)))))) 
-(((*1 *2 *2)
-  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
-   (-4 *2 (-13 (-442 *3) (-1023)))))) 
+  (-12 (-5 *3 (-1193 *1)) (-5 *4 (-1197)) (-4 *1 (-27))
+   (-5 *2 (-656 *1))))
+ ((*1 *2 *3) (-12 (-5 *3 (-1193 *1)) (-4 *1 (-27)) (-5 *2 (-656 *1))))
+ ((*1 *2 *3) (-12 (-5 *3 (-971 *1)) (-4 *1 (-27)) (-5 *2 (-656 *1))))
+ ((*1 *2 *1 *3)
+  (-12 (-5 *3 (-1197)) (-4 *4 (-568)) (-5 *2 (-656 *1))
+   (-4 *1 (-29 *4))))
+ ((*1 *2 *1) (-12 (-4 *3 (-568)) (-5 *2 (-656 *1)) (-4 *1 (-29 *3))))
+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *3 (-326 (-227))) (-5 *4 (-656 (-1197)))
+   (-5 *5 (-1115 (-855 (-227)))) (-5 *2 (-1178 (-227))) (-5 *1 (-310))))) 
 (((*1 *2 *2)
   (-12 (-4 *3 (-360)) (-4 *4 (-339 *3)) (-4 *5 (-1264 *4))
    (-5 *1 (-789 *3 *4 *5 *2 *6)) (-4 *2 (-1264 *5)) (-14 *6 (-940))))
  ((*1 *1 *1 *2)
   (-12 (-5 *2 (-783)) (-4 *1 (-1307 *3)) (-4 *3 (-374)) (-4 *3 (-379))))
  ((*1 *1 *1) (-12 (-4 *1 (-1307 *2)) (-4 *2 (-374)) (-4 *2 (-379))))) 
-(((*1 *1 *2 *1) (-12 (-5 *2 (-1196)) (-5 *1 (-340))))) 
+(((*1 *2 *2 *2) (-12 (-5 *2 (-227)) (-5 *1 (-228))))
+ ((*1 *2 *2 *2) (-12 (-5 *2 (-171 (-227))) (-5 *1 (-228))))) 
+(((*1 *2 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-990 *3 *2)) (-4 *2 (-1264 *3))))
+ ((*1 *1 *1 *1)
+  (-12 (-4 *1 (-1086 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-805))
+   (-4 *4 (-861)) (-4 *2 (-568))))
+ ((*1 *1 *1 *1)
+  (-12 (-4 *1 (-1264 *2)) (-4 *2 (-1070)) (-4 *2 (-568))))) 
+(((*1 *2 *1 *1)
+  (-12 (-4 *1 (-1086 *3 *4 *5)) (-4 *3 (-1070)) (-4 *4 (-805))
+   (-4 *5 (-861)) (-5 *2 (-112))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-360)) (-5 *2 (-430 (-1193 (-1193 *4))))
+   (-5 *1 (-1236 *4)) (-5 *3 (-1193 (-1193 *4)))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-430 *3)) (-5 *1 (-933 *3)) (-4 *3 (-317))))) 
 (((*1 *1 *2 *2 *3) (-12 (-5 *2 (-576)) (-5 *3 (-940)) (-4 *1 (-416))))
  ((*1 *1 *2 *2) (-12 (-5 *2 (-576)) (-4 *1 (-416))))
  ((*1 *2 *1)
@@ -8423,8 +8156,8 @@
   (-12 (-5 *1 (-216 *2))
    (-4 *2
     (-13 (-861)
-     (-10 -8 (-15 -2796 ((-1179) $ (-1197))) (-15 -1976 ((-1293) $))
-      (-15 -3579 ((-1293) $)))))))
+     (-10 -8 (-15 -2797 ((-1179) $ (-1197))) (-15 -1977 ((-1293) $))
+      (-15 -3420 ((-1293) $)))))))
  ((*1 *1 *1 *2) (-12 (-5 *1 (-304 *2)) (-4 *2 (-21)) (-4 *2 (-1238))))
  ((*1 *1 *2 *1) (-12 (-5 *1 (-304 *2)) (-4 *2 (-21)) (-4 *2 (-1238))))
  ((*1 *1 *1 *1)
@@ -8461,47 +8194,55 @@
   (-12 (-5 *2 (-962 *3)) (-4 *1 (-1155 *3)) (-4 *3 (-1070))))
  ((*1 *2 *3 *3 *3 *3)
   (-12 (-5 *2 (-962 (-227))) (-5 *1 (-1234)) (-5 *3 (-227))))) 
-(((*1 *2 *2)
-  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
-   (-4 *2 (-13 (-442 *3) (-1023)))))) 
-(((*1 *2 *3 *1)
-  (-12 (-5 *3 (-1161 *4 *5)) (-4 *4 (-13 (-1121) (-34)))
-   (-4 *5 (-13 (-1121) (-34))) (-5 *2 (-112)) (-5 *1 (-1162 *4 *5))))) 
-(((*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-1121)) (-5 *1 (-224 *3))))
- ((*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-1238)) (-4 *1 (-261 *3))))
- ((*1 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1238))))) 
-(((*1 *2 *3)
-  (-12 (-4 *2 (-374)) (-4 *2 (-860)) (-5 *1 (-964 *2 *3))
-   (-4 *3 (-1264 *2))))) 
-(((*1 *2 *1)
-  (-12 (-5 *2 (-3 (|:| |fst| (-446)) (|:| -2916 "void")))
-   (-5 *1 (-449))))) 
-(((*1 *2 *3 *3 *4)
-  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
-   (-4 *3 (-1086 *5 *6 *7))
-   (-5 *2 (-656 (-2 (|:| |val| *3) (|:| -3987 *4))))
-   (-5 *1 (-1129 *5 *6 *7 *3 *4)) (-4 *4 (-1092 *5 *6 *7 *3))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-861)) (-5 *1 (-127 *3))))) 
+(((*1 *2) (-12 (-5 *2 (-656 (-1179))) (-5 *1 (-841))))) 
+(((*1 *2 *3 *2)
+  (-12 (-5 *3 (-419 (-576)))
+   (-4 *4 (-13 (-568) (-1059 (-576)) (-651 (-576))))
+   (-5 *1 (-286 *4 *2)) (-4 *2 (-13 (-27) (-1223) (-442 *4)))))) 
+(((*1 *1 *1 *1) (-12 (-5 *1 (-985 *2)) (-4 *2 (-1121))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-940)) (-5 *2 (-1193 *4)) (-5 *1 (-368 *4))
-   (-4 *4 (-360))))) 
+  (-12 (-5 *3 (-940)) (-5 *2 (-1199 (-419 (-576)))) (-5 *1 (-192))))) 
+(((*1 *1 *1) (-5 *1 (-1084)))) 
+(((*1 *1 *2 *1) (-12 (-5 *2 (-1196)) (-5 *1 (-340))))) 
 (((*1 *2 *1) (-12 (-5 *2 (-1202)) (-5 *1 (-289))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-13 (-317) (-148))) (-4 *5 (-13 (-861) (-626 (-1197))))
+   (-4 *6 (-805)) (-5 *2 (-419 (-971 *4))) (-5 *1 (-943 *4 *5 *6 *3))
+   (-4 *3 (-968 *4 *6 *5))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-701 *7)) (-4 *7 (-968 *4 *6 *5))
+   (-4 *4 (-13 (-317) (-148))) (-4 *5 (-13 (-861) (-626 (-1197))))
+   (-4 *6 (-805)) (-5 *2 (-701 (-419 (-971 *4))))
+   (-5 *1 (-943 *4 *5 *6 *7))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-656 *7)) (-4 *7 (-968 *4 *6 *5))
+   (-4 *4 (-13 (-317) (-148))) (-4 *5 (-13 (-861) (-626 (-1197))))
+   (-4 *6 (-805)) (-5 *2 (-656 (-419 (-971 *4))))
+   (-5 *1 (-943 *4 *5 *6 *7))))) 
+(((*1 *2 *2 *3 *4)
+  (|partial| -12
+      (-5 *3
+       (-1 (-3 (-2 (|:| -1698 *4) (|:| |coeff| *4)) "failed") *4))
+      (-4 *4 (-374)) (-5 *1 (-586 *4 *2)) (-4 *2 (-1264 *4))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-876)) (-5 *1 (-1178 *3)) (-4 *3 (-1121))
+   (-4 *3 (-1238))))) 
 (((*1 *2 *3 *3)
-  (-12 (-4 *4 (-374)) (-5 *2 (-656 *3)) (-5 *1 (-964 *4 *3))
-   (-4 *3 (-1264 *4))))) 
-(((*1 *1 *2) (-12 (-5 *2 (-158)) (-5 *1 (-888))))) 
-(((*1 *2 *3 *3 *4)
-  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
-   (-4 *3 (-1086 *5 *6 *7))
-   (-5 *2 (-656 (-2 (|:| |val| *3) (|:| -3987 *4))))
-   (-5 *1 (-1093 *5 *6 *7 *3 *4)) (-4 *4 (-1092 *5 *6 *7 *3))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-834))))) 
+  (-12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
+   (-4 *7 (-1086 *4 *5 *6)) (-5 *2 (-112))
+   (-5 *1 (-1009 *4 *5 *6 *7 *3)) (-4 *3 (-1092 *4 *5 *6 *7))))
+ ((*1 *2 *3 *3)
+  (-12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
+   (-4 *7 (-1086 *4 *5 *6)) (-5 *2 (-112))
+   (-5 *1 (-1128 *4 *5 *6 *7 *3)) (-4 *3 (-1092 *4 *5 *6 *7))))) 
 (((*1 *1 *1 *1) (-4 *1 (-25))) ((*1 *1 *1 *1) (-5 *1 (-158)))
  ((*1 *1 *1 *1)
   (-12 (-5 *1 (-216 *2))
    (-4 *2
     (-13 (-861)
-     (-10 -8 (-15 -2796 ((-1179) $ (-1197))) (-15 -1976 ((-1293) $))
-      (-15 -3579 ((-1293) $)))))))
+     (-10 -8 (-15 -2797 ((-1179) $ (-1197))) (-15 -1977 ((-1293) $))
+      (-15 -3420 ((-1293) $)))))))
  ((*1 *1 *1 *2) (-12 (-5 *1 (-304 *2)) (-4 *2 (-25)) (-4 *2 (-1238))))
  ((*1 *1 *2 *1) (-12 (-5 *1 (-304 *2)) (-4 *2 (-25)) (-4 *2 (-1238))))
  ((*1 *1 *2 *1)
@@ -8524,166 +8265,184 @@
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-1070)) (-5 *1 (-1181 *3))))
  ((*1 *2 *2 *2) (-12 (-5 *2 (-962 (-227))) (-5 *1 (-1234))))
  ((*1 *1 *1 *1) (-12 (-4 *1 (-1286 *2)) (-4 *2 (-1238)) (-4 *2 (-25))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-940)) (-5 *2 (-1179)) (-5 *1 (-798))))) 
-(((*1 *2 *3 *4 *5)
-  (-12 (-5 *4 (-1 *7 *7))
-   (-5 *5 (-1 (-3 (-656 *6) "failed") (-576) *6 *6)) (-4 *6 (-374))
-   (-4 *7 (-1264 *6))
-   (-5 *2 (-2 (|:| |answer| (-598 (-419 *7))) (|:| |a0| *6)))
-   (-5 *1 (-586 *6 *7)) (-5 *3 (-419 *7))))) 
-(((*1 *1 *2 *3)
-  (-12 (-5 *2 (-1288 *3)) (-4 *3 (-1264 *4)) (-4 *4 (-1242))
-   (-4 *1 (-353 *4 *3 *5)) (-4 *5 (-1264 (-419 *3)))))) 
-(((*1 *2 *3 *3)
-  (-12 (-4 *4 (-568)) (-5 *2 (-2 (|:| |coef2| *3) (|:| -3498 *3)))
-   (-5 *1 (-990 *4 *3)) (-4 *3 (-1264 *4))))) 
-(((*1 *2 *1 *3 *3)
-  (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-834))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-1070)) (-4 *3 (-1264 *4)) (-4 *2 (-1279 *4))
-   (-5 *1 (-1282 *4 *3 *5 *2)) (-4 *5 (-668 *3))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-845 *3)) (-4 *3 (-1121))))
- ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-855 *3)) (-4 *3 (-1121))))) 
-(((*1 *1 *2 *3) (-12 (-5 *3 (-576)) (-5 *1 (-430 *2)) (-4 *2 (-568))))) 
-(((*1 *2 *3)
-  (-12 (-5 *2 (-1 (-962 *3) (-962 *3))) (-5 *1 (-178 *3))
-   (-4 *3 (-13 (-374) (-1223) (-1023)))))) 
-(((*1 *2 *1) (|partial| -12 (-5 *2 (-1179)) (-5 *1 (-1219))))) 
-(((*1 *1 *2) (-12 (-5 *2 (-656 (-145))) (-5 *1 (-142))))
- ((*1 *1 *2) (-12 (-5 *2 (-1179)) (-5 *1 (-142))))) 
-(((*1 *2 *3 *4 *5)
-  (-12 (-5 *4 (-1 *7 *7))
-   (-5 *5
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+      (-14 *5 (-1 (-3 *3 "failed") *3 *3))
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 (((*1 *2 *3)
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-(((*1 *2 *2 *2)
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+  (-12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-1293))
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+  (-12
+   (-5 *2
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+           (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227)))
+            (|:| -2951 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
+            (|:| |relerr| (-227))))
+      (|:| -4440
+           (-2
+            (|:| |endPointContinuity|
+                 (-3 (|:| |continuous| "Continuous at the end points")
+                  (|:| |lowerSingular|
+                       "There is a singularity at the lower end point")
+                  (|:| |upperSingular|
+                       "There is a singularity at the upper end point")
+                  (|:| |bothSingular|
+                       "There are singularities at both end points")
+                  (|:| |notEvaluated|
+                       "End point continuity not yet evaluated")))
+            (|:| |singularitiesStream|
+                 (-3 (|:| |str| (-1178 (-227)))
+                  (|:| |notEvaluated|
+                       "Internal singularities not yet evaluated")))
+            (|:| -2951
+                 (-3 (|:| |finite| "The range is finite")
+                  (|:| |lowerInfinite|
+                       "The bottom of range is infinite")
+                  (|:| |upperInfinite| "The top of range is infinite")
+                  (|:| |bothInfinite|
+                       "Both top and bottom points are infinite")
+                  (|:| |notEvaluated| "Range not yet evaluated"))))))))
+   (-5 *1 (-571))))) 
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 (((*1 *2 *3)
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+  (-12
+   (-5 *3
+    (-2 (|:| |pde| (-656 (-326 (-227))))
+     (|:| |constraints|
+          (-656
+           (-2 (|:| |start| (-227)) (|:| |finish| (-227))
+            (|:| |grid| (-783)) (|:| |boundaryType| (-576))
+            (|:| |dStart| (-701 (-227))) (|:| |dFinish| (-701 (-227))))))
+     (|:| |f| (-656 (-656 (-326 (-227))))) (|:| |st| (-1179))
+     (|:| |tol| (-227))))
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 (((*1 *2 *1)
   (-12 (-4 *1 (-1124 *3 *4 *5 *6 *2)) (-4 *3 (-1121)) (-4 *4 (-1121))
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 (((*1 *2 *3)
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+  (|partial| -12 (-5 *4 (-1197)) (-4 *5 (-626 (-907 (-576))))
+      (-4 *5 (-901 (-576)))
+      (-4 *5 (-13 (-1059 (-576)) (-464) (-651 (-576))))
+      (-5 *2 (-2 (|:| |special| *3) (|:| |integrand| *3)))
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 (((*1 *2 *1 *1) (-12 (-4 *1 (-864)) (-5 *2 (-112))))
  ((*1 *1 *1 *1) (-5 *1 (-876)))) 
+(((*1 *2 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-594))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-1197)) (-5 *1 (-834))))) 
 (((*1 *2 *3)
-  (-12
-   (-5 *3
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-     (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
-     (|:| |relerr| (-227))))
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- ((*1 *2 *3 *4 *5)
-  (-12 (-5 *3 (-326 (-227))) (-5 *4 (-656 (-1197)))
-   (-5 *5 (-1115 (-855 (-227)))) (-5 *2 (-1178 (-227))) (-5 *1 (-310))))
- ((*1 *2 *3 *4 *5)
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-   (-5 *5 (-1115 (-855 (-227)))) (-5 *2 (-1178 (-227))) (-5 *1 (-310))))) 
-(((*1 *2 *3 *1)
-  (-12 (-4 *1 (-1092 *4 *5 *6 *3)) (-4 *4 (-464)) (-4 *5 (-805))
-   (-4 *6 (-861)) (-4 *3 (-1086 *4 *5 *6)) (-5 *2 (-112))))) 
-(((*1 *1 *1 *2) (-12 (-5 *2 (-518)) (-5 *1 (-115))))
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- ((*1 *2 *1 *3)
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- ((*1 *2 *1 *3)
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-   (-4 *3 (-861)) (-5 *2 (-783))))) 
-(((*1 *1 *2 *3 *3 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-112)) (-5 *1 (-907 *4))
-   (-4 *4 (-1121))))) 
-(((*1 *1 *2 *1) (-12 (-5 *2 (-1196)) (-5 *1 (-340))))) 
+  (-12 (-5 *3 (-940)) (-5 *2 (-1193 *4)) (-5 *1 (-368 *4))
+   (-4 *4 (-360))))) 
+(((*1 *1 *1 *1) (-5 *1 (-876)))) 
+(((*1 *1 *1 *2 *3) (-12 (-5 *2 (-518)) (-5 *3 (-786)) (-5 *1 (-115))))
+ ((*1 *1 *1 *2 *3) (-12 (-5 *2 (-1179)) (-5 *3 (-786)) (-5 *1 (-115))))) 
 (((*1 *2 *3)
-  (-12 (-4 *4 (-568)) (-5 *2 (-783)) (-5 *1 (-43 *4 *3))
-   (-4 *3 (-429 *4))))) 
+  (-12 (-4 *2 (-374)) (-4 *2 (-860)) (-5 *1 (-964 *2 *3))
+   (-4 *3 (-1264 *2))))) 
+(((*1 *1 *2 *1 *1)
+  (-12 (-5 *2 (-1197)) (-5 *1 (-687 *3)) (-4 *3 (-1121))))) 
 (((*1 *2 *1) (-12 (-5 *2 (-1237)) (-5 *1 (-182))))
  ((*1 *2 *1) (-12 (-5 *2 (-1237)) (-5 *1 (-693))))
  ((*1 *2 *1) (-12 (-5 *2 (-1237)) (-5 *1 (-991))))
@@ -8691,193 +8450,183 @@
  ((*1 *2 *1) (-12 (-5 *2 (-1202)) (-5 *1 (-1139))))) 
 (((*1 *2 *1) (-12 (-5 *2 (-656 (-1179))) (-5 *1 (-1218))))) 
 (((*1 *2 *3)
-  (-12 (-4 *4 (-13 (-374) (-10 -8 (-15 ** ($ $ (-419 (-576)))))))
-   (-5 *2 (-656 *4)) (-5 *1 (-1149 *3 *4)) (-4 *3 (-1264 *4))))
- ((*1 *2 *3 *3 *3 *3 *3)
-  (-12 (-4 *3 (-13 (-374) (-10 -8 (-15 ** ($ $ (-419 (-576)))))))
-   (-5 *2 (-656 *3)) (-5 *1 (-1149 *4 *3)) (-4 *4 (-1264 *3))))) 
-(((*1 *2 *2 *2)
-  (-12 (-5 *2 (-701 *3)) (-4 *3 (-1070)) (-5 *1 (-1049 *3))))
+  (-12 (-4 *4 (-568)) (-5 *2 (-2 (|:| |coef2| *3) (|:| -4352 *4)))
+   (-5 *1 (-990 *4 *3)) (-4 *3 (-1264 *4))))) 
+(((*1 *2 *2) (|partial| -12 (-4 *1 (-1004 *2)) (-4 *2 (-1223))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *3 (-656 *2)) (-4 *2 (-968 *4 *5 *6)) (-4 *4 (-464))
+   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *1 (-461 *4 *5 *6 *2))))) 
+(((*1 *1 *1 *1) (-4 *1 (-144)))
  ((*1 *2 *2 *2)
-  (-12 (-5 *2 (-656 (-701 *3))) (-4 *3 (-1070)) (-5 *1 (-1049 *3))))
- ((*1 *2 *2)
-  (-12 (-5 *2 (-701 *3)) (-4 *3 (-1070)) (-5 *1 (-1049 *3))))
- ((*1 *2 *2)
-  (-12 (-5 *2 (-656 (-701 *3))) (-4 *3 (-1070)) (-5 *1 (-1049 *3))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-1178 (-1178 *4))) (-5 *2 (-1178 *4)) (-5 *1 (-1181 *4))
-   (-4 *4 (-38 (-419 (-576)))) (-4 *4 (-1070))))) 
+  (-12 (-4 *3 (-568)) (-5 *1 (-159 *3 *2)) (-4 *2 (-442 *3))))
+ ((*1 *2 *2 *2) (-12 (-5 *1 (-160 *2)) (-4 *2 (-557))))
+ ((*1 *1 *1 *1) (-5 *1 (-876)))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *4 |RationalNumber|) (-5 *2 (-1 (-576))) (-5 *1 (-1068))
+   (-5 *3 (-576))))) 
 (((*1 *2 *1 *1) (-12 (-4 *1 (-864)) (-5 *2 (-112))))
  ((*1 *1 *1 *1) (-5 *1 (-876)))
  ((*1 *2 *1 *1) (-12 (-5 *2 (-112)) (-5 *1 (-923 *3)) (-4 *3 (-1121))))) 
-(((*1 *2 *3 *2) (-12 (-5 *2 (-227)) (-5 *3 (-783)) (-5 *1 (-228))))
- ((*1 *2 *3 *2)
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- ((*1 *2 *2 *2)
-  (-12 (-4 *3 (-568)) (-5 *1 (-443 *3 *2)) (-4 *2 (-442 *3))))
- ((*1 *1 *1 *1) (-4 *1 (-1160)))) 
-(((*1 *2 *2) (-12 (-5 *2 (-940)) (-5 *1 (-368 *3)) (-4 *3 (-360))))) 
+(((*1 *1) (-5 *1 (-449)))) 
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+(((*1 *2 *3 *4)
+  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
+   (-4 *3 (-1086 *5 *6 *7))
+   (-5 *2 (-656 (-2 (|:| |val| (-112)) (|:| -3988 *4))))
+   (-5 *1 (-1129 *5 *6 *7 *3 *4)) (-4 *4 (-1092 *5 *6 *7 *3))))) 
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 (((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-573))))
  ((*1 *2 *3)
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+(((*1 *2 *3 *2)
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 (((*1 *2 *3)
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-      (-5 *1 (-623 *2 *4))))) 
+  (|partial| -12 (-5 *3 (-701 *1)) (-4 *1 (-360)) (-5 *2 (-1288 *1))))
+ ((*1 *2 *3)
+  (|partial| -12 (-5 *3 (-701 *1)) (-4 *1 (-146)) (-4 *1 (-928))
+      (-5 *2 (-1288 *1))))) 
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 (((*1 *1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-783))))
  ((*1 *1 *2 *1) (-12 (-4 *1 (-25)) (-5 *2 (-940))))
  ((*1 *1 *1 *1)
@@ -9099,10 +8843,10 @@
  ((*1 *1 *2 *1) (-12 (-4 *1 (-397 *2)) (-4 *2 (-1121))))
  ((*1 *1 *2 *1)
   (-12 (-14 *3 (-656 (-1197))) (-4 *4 (-174))
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+   (-4 *6 (-243 (-3503 *3) (-783)))
    (-14 *7
-    (-1 (-112) (-2 (|:| -3223 *5) (|:| -4210 *6))
-     (-2 (|:| -3223 *5) (|:| -4210 *6))))
+    (-1 (-112) (-2 (|:| -3224 *5) (|:| -3422 *6))
+     (-2 (|:| -3224 *5) (|:| -3422 *6))))
    (-5 *1 (-473 *3 *4 *5 *6 *7 *2)) (-4 *5 (-861))
    (-4 *2 (-968 *4 *6 (-878 *3)))))
  ((*1 *1 *1 *2)
@@ -9176,114 +8920,98 @@
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-   (-5 *1 (-1174 *3))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-783)) (-5 *2 (-390)) (-5 *1 (-1061))))) 
 (((*1 *2 *1)
   (-12 (-4 *2 (-1238)) (-5 *1 (-887 *3 *2)) (-4 *3 (-1238))))
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 (((*1 *1 *1 *1)
-  (-12 (-5 *1 (-656 *2)) (-4 *2 (-1121)) (-4 *2 (-1238))))) 
-(((*1 *2 *2 *3)
-  (-12 (-5 *3 (-1197)) (-4 *4 (-464)) (-4 *4 (-1121))
-   (-5 *1 (-585 *4 *2)) (-4 *2 (-294)) (-4 *2 (-442 *4))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-34)) (-5 *2 (-112))))
- ((*1 *2 *1)
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-   (-5 *1 (-1008 *3 *4 *5 *6)) (-4 *6 (-968 *3 *5 *4))))
- ((*1 *2 *1)
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-   (-4 *4 (-13 (-1121) (-34)))))) 
-(((*1 *1 *1) (-12 (-4 *1 (-668 *2)) (-4 *2 (-1070))))
- ((*1 *2 *3)
-  (-12 (-4 *4 (-568)) (-4 *4 (-174)) (-4 *5 (-384 *4))
-   (-4 *6 (-384 *4)) (-5 *2 (-2 (|:| |adjMat| *3) (|:| |detMat| *4)))
-   (-5 *1 (-700 *4 *5 *6 *3)) (-4 *3 (-699 *4 *5 *6))))
- ((*1 *1 *1 *1)
-  (-12 (-4 *2 (-174)) (-4 *2 (-1070)) (-5 *1 (-726 *2 *3))
-   (-4 *3 (-660 *2))))
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-   (-4 *3 (-660 *2))))
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- ((*1 *1 *1) (-12 (-5 *1 (-848 *2)) (-4 *2 (-174)) (-4 *2 (-1070))))) 
+  (|partial| -12 (-4 *1 (-866 *2)) (-4 *2 (-1070)) (-4 *2 (-374))))) 
 (((*1 *2 *1)
-  (-12 (-4 *2 (-1121)) (-5 *1 (-983 *2 *3)) (-4 *3 (-1121))))) 
-(((*1 *2 *3 *4 *4 *4 *4 *5 *5)
-  (-12 (-5 *3 (-1 (-390) (-390))) (-5 *4 (-390))
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-     (|:| |success| (-112))))
-   (-5 *1 (-801)) (-5 *5 (-576))))) 
+  (-12 (-4 *1 (-1305 *3 *4)) (-4 *3 (-861)) (-4 *4 (-1070))
+   (-5 *2 (-2 (|:| |k| (-831 *3)) (|:| |c| *4)))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-940)) (-5 *2 (-1179)) (-5 *1 (-798))))) 
+(((*1 *2 *2 *2)
+  (-12 (-5 *2 (-701 *3)) (-4 *3 (-1070)) (-5 *1 (-702 *3))))
+ ((*1 *2 *2 *2 *2)
+  (-12 (-5 *2 (-701 *3)) (-4 *3 (-1070)) (-5 *1 (-702 *3))))) 
+(((*1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-135))))) 
+(((*1 *1 *2 *3)
+  (-12 (-5 *2 (-480)) (-5 *3 (-656 (-270))) (-5 *1 (-1289))))
+ ((*1 *1 *1) (-5 *1 (-1289)))) 
+(((*1 *2 *3 *4 *5 *5 *6)
+  (-12 (-5 *3 (-1 (-227) (-227) (-227)))
+   (-5 *4 (-3 (-1 (-227) (-227) (-227) (-227)) "undefined"))
+   (-5 *5 (-1115 (-227))) (-5 *6 (-656 (-270))) (-5 *2 (-1154 (-227)))
+   (-5 *1 (-709))))) 
+(((*1 *2 *2 *2)
+  (-12 (-5 *2 (-656 *6)) (-4 *6 (-1086 *3 *4 *5)) (-4 *3 (-464))
+   (-4 *3 (-568)) (-4 *4 (-805)) (-4 *5 (-861))
+   (-5 *1 (-998 *3 *4 *5 *6))))) 
+(((*1 *1 *1 *2 *2)
+  (-12 (-5 *2 (-576)) (-4 *1 (-699 *3 *4 *5)) (-4 *3 (-1070))
+   (-4 *4 (-384 *3)) (-4 *5 (-384 *3))))) 
+(((*1 *1 *2 *3)
+  (-12
+   (-5 *3
+    (-656
+     (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| *2)
+      (|:| |xpnt| (-576)))))
+   (-4 *2 (-568)) (-5 *1 (-430 *2))))
+ ((*1 *2 *3)
+  (-12
+   (-5 *3
+    (-2 (|:| |contp| (-576))
+     (|:| -2761 (-656 (-2 (|:| |irr| *4) (|:| -2567 (-576)))))))
+   (-4 *4 (-1264 (-576))) (-5 *2 (-430 *4)) (-5 *1 (-454 *4))))) 
+(((*1 *2 *3 *2 *4)
+  (-12 (-5 *2 (-656 (-576))) (-5 *3 (-656 (-940))) (-5 *4 (-112))
+   (-5 *1 (-1131))))) 
+(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *4)
+  (-12 (-5 *3 (-1179)) (-5 *4 (-576)) (-5 *5 (-701 (-171 (-227))))
+   (-5 *2 (-1056)) (-5 *1 (-766))))) 
+(((*1 *1 *1)
+  (-12 (-4 *1 (-1124 *2 *3 *4 *5 *6)) (-4 *2 (-1121)) (-4 *3 (-1121))
+   (-4 *4 (-1121)) (-4 *5 (-1121)) (-4 *6 (-1121))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-1115 (-855 (-227)))) (-5 *2 (-227)) (-5 *1 (-194))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-1115 (-855 (-227)))) (-5 *2 (-227)) (-5 *1 (-310))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-1115 (-855 (-227)))) (-5 *2 (-227)) (-5 *1 (-315))))) 
+(((*1 *2 *3 *4 *5)
+  (-12 (-5 *4 (-1 *7 *7))
+   (-5 *5 (-1 (-3 (-656 *6) "failed") (-576) *6 *6)) (-4 *6 (-374))
+   (-4 *7 (-1264 *6))
+   (-5 *2 (-2 (|:| |answer| (-598 (-419 *7))) (|:| |a0| *6)))
+   (-5 *1 (-586 *6 *7)) (-5 *3 (-419 *7))))) 
+(((*1 *1) (-5 *1 (-55)))) 
 (((*1 *2 *3 *3)
-  (-12 (-5 *3 (-656 *7)) (-4 *7 (-1086 *4 *5 *6)) (-4 *4 (-568))
-   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))
-   (-5 *1 (-998 *4 *5 *6 *7))))) 
+  (-12 (-4 *4 (-568))
+   (-5 *2 (-2 (|:| -1714 *4) (|:| -2715 *3) (|:| -3624 *3)))
+   (-5 *1 (-990 *4 *3)) (-4 *3 (-1264 *4))))
+ ((*1 *2 *1 *1)
+  (-12 (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861))
+   (-5 *2 (-2 (|:| -2715 *1) (|:| -3624 *1))) (-4 *1 (-1086 *3 *4 *5))))
+ ((*1 *2 *1 *1)
+  (-12 (-4 *3 (-568)) (-4 *3 (-1070))
+   (-5 *2 (-2 (|:| -1714 *3) (|:| -2715 *1) (|:| -3624 *1)))
+   (-4 *1 (-1264 *3))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-940))) (-5 *2 (-923 (-576))) (-5 *1 (-936))))) 
-(((*1 *1 *1 *1)
-  (-12 (-4 *1 (-1086 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-805))
-   (-4 *4 (-861))))
- ((*1 *2 *2 *1)
-  (-12 (-4 *1 (-1231 *3 *4 *5 *2)) (-4 *3 (-568)) (-4 *4 (-805))
-   (-4 *5 (-861)) (-4 *2 (-1086 *3 *4 *5))))) 
+  (|partial| -12 (-5 *3 (-624 *4)) (-4 *4 (-1121)) (-4 *2 (-1121))
+      (-5 *1 (-623 *2 *4))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-656 (-1179))) (-5 *1 (-406))))
+ ((*1 *2 *1) (-12 (-5 *2 (-656 (-1179))) (-5 *1 (-1218))))) 
+(((*1 *2 *3 *3)
+  (-12 (-4 *4 (-13 (-317) (-148))) (-4 *5 (-13 (-861) (-626 (-1197))))
+   (-4 *6 (-805)) (-4 *7 (-968 *4 *6 *5))
+   (-5 *2
+    (-2 (|:| |sysok| (-112)) (|:| |z0| (-656 *7)) (|:| |n0| (-656 *7))))
+   (-5 *1 (-943 *4 *5 *6 *7)) (-5 *3 (-656 *7))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-317)) (-4 *5 (-384 *4)) (-4 *6 (-384 *4))
+   (-5 *2 (-2 (|:| |Hermite| *3) (|:| |eqMat| *3)))
+   (-5 *1 (-1145 *4 *5 *6 *3)) (-4 *3 (-699 *4 *5 *6))))) 
 (((*1 *2 *3) (-12 (-5 *3 (-52)) (-5 *1 (-51 *2)) (-4 *2 (-1238))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-971 (-390))) (-5 *1 (-350 *3 *4 *5))
@@ -9339,11 +9067,11 @@
     (-3
      (|:| |nia|
           (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227)))
-           (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
+           (|:| -2951 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
            (|:| |relerr| (-227))))
      (|:| |mdnia|
           (-2 (|:| |fn| (-326 (-227)))
-           (|:| -3343 (-656 (-1115 (-855 (-227)))))
+           (|:| -2951 (-656 (-1115 (-855 (-227)))))
            (|:| |abserr| (-227)) (|:| |relerr| (-227))))))
    (-5 *1 (-781))))
  ((*1 *2 *1)
@@ -9359,13 +9087,13 @@
    (-5 *2
     (-3
      (|:| |noa|
-          (-2 (|:| |fn| (-326 (-227))) (|:| -3539 (-656 (-227)))
+          (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227)))
            (|:| |lb| (-656 (-855 (-227))))
            (|:| |cf| (-656 (-326 (-227))))
            (|:| |ub| (-656 (-855 (-227))))))
      (|:| |lsa|
           (-2 (|:| |lfn| (-656 (-326 (-227))))
-           (|:| -3539 (-656 (-227)))))))
+           (|:| -3540 (-656 (-227)))))))
    (-5 *1 (-853))))
  ((*1 *2 *1)
   (-12
@@ -9384,26 +9112,26 @@
    (-4 *4 (-805)) (-4 *5 (-861)) (-4 *1 (-997 *3 *4 *5 *6))))
  ((*1 *2 *1) (-12 (-4 *1 (-1059 *2)) (-4 *2 (-1238))))
  ((*1 *1 *2)
-  (-2758
+  (-2760
    (-12 (-5 *2 (-971 *3))
-    (-12 (-2662 (-4 *3 (-38 (-419 (-576)))))
-     (-2662 (-4 *3 (-38 (-576)))) (-4 *5 (-626 (-1197))))
+    (-12 (-2663 (-4 *3 (-38 (-419 (-576)))))
+     (-2663 (-4 *3 (-38 (-576)))) (-4 *5 (-626 (-1197))))
     (-4 *3 (-1070)) (-4 *1 (-1086 *3 *4 *5)) (-4 *4 (-805))
     (-4 *5 (-861)))
    (-12 (-5 *2 (-971 *3))
-    (-12 (-2662 (-4 *3 (-557))) (-2662 (-4 *3 (-38 (-419 (-576)))))
+    (-12 (-2663 (-4 *3 (-557))) (-2663 (-4 *3 (-38 (-419 (-576)))))
      (-4 *3 (-38 (-576))) (-4 *5 (-626 (-1197))))
     (-4 *3 (-1070)) (-4 *1 (-1086 *3 *4 *5)) (-4 *4 (-805))
     (-4 *5 (-861)))
    (-12 (-5 *2 (-971 *3))
-    (-12 (-2662 (-4 *3 (-1013 (-576)))) (-4 *3 (-38 (-419 (-576))))
+    (-12 (-2663 (-4 *3 (-1013 (-576)))) (-4 *3 (-38 (-419 (-576))))
      (-4 *5 (-626 (-1197))))
     (-4 *3 (-1070)) (-4 *1 (-1086 *3 *4 *5)) (-4 *4 (-805))
     (-4 *5 (-861)))))
  ((*1 *1 *2)
-  (-2758
+  (-2760
    (-12 (-5 *2 (-971 (-576))) (-4 *1 (-1086 *3 *4 *5))
-    (-12 (-2662 (-4 *3 (-38 (-419 (-576))))) (-4 *3 (-38 (-576)))
+    (-12 (-2663 (-4 *3 (-38 (-419 (-576))))) (-4 *3 (-38 (-576)))
      (-4 *5 (-626 (-1197))))
     (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861)))
    (-12 (-5 *2 (-971 (-576))) (-4 *1 (-1086 *3 *4 *5))
@@ -9413,48 +9141,38 @@
   (-12 (-5 *2 (-971 (-419 (-576)))) (-4 *1 (-1086 *3 *4 *5))
    (-4 *3 (-38 (-419 (-576)))) (-4 *5 (-626 (-1197))) (-4 *3 (-1070))
    (-4 *4 (-805)) (-4 *5 (-861))))) 
-(((*1 *2 *1)
-  (-12 (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1238)) (-4 *4 (-384 *3))
-   (-4 *5 (-384 *3)) (-5 *2 (-576))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-1074 *3 *4 *5 *6 *7)) (-4 *5 (-1070))
-   (-4 *6 (-243 *4 *5)) (-4 *7 (-243 *3 *5)) (-5 *2 (-576))))) 
 (((*1 *2 *3 *4)
-  (-12 (-4 *5 (-1121)) (-4 *6 (-901 *5)) (-5 *2 (-900 *5 *6 (-656 *6)))
-   (-5 *1 (-902 *5 *6 *4)) (-5 *3 (-656 *6)) (-4 *4 (-626 (-907 *5)))))
+  (-12 (-5 *4 (-1 *3 *3)) (-4 *3 (-1264 *5)) (-4 *5 (-374))
+   (-5 *2 (-2 (|:| -3014 (-430 *3)) (|:| |special| (-430 *3))))
+   (-5 *1 (-739 *5 *3))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 (-419 (-971 (-171 (-576))))))
+   (-5 *2 (-656 (-656 (-304 (-971 (-171 *4)))))) (-5 *1 (-389 *4))
+   (-4 *4 (-13 (-374) (-860)))))
  ((*1 *2 *3 *4)
-  (-12 (-4 *5 (-1121)) (-5 *2 (-656 (-304 *3))) (-5 *1 (-902 *5 *3 *4))
-   (-4 *3 (-1059 (-1197))) (-4 *3 (-901 *5)) (-4 *4 (-626 (-907 *5)))))
+  (-12 (-5 *3 (-656 (-304 (-419 (-971 (-171 (-576)))))))
+   (-5 *2 (-656 (-656 (-304 (-971 (-171 *4)))))) (-5 *1 (-389 *4))
+   (-4 *4 (-13 (-374) (-860)))))
  ((*1 *2 *3 *4)
-  (-12 (-4 *5 (-1121)) (-5 *2 (-656 (-304 (-971 *3))))
-   (-5 *1 (-902 *5 *3 *4)) (-4 *3 (-1070))
-   (-2662 (-4 *3 (-1059 (-1197)))) (-4 *3 (-901 *5))
-   (-4 *4 (-626 (-907 *5)))))
+  (-12 (-5 *3 (-419 (-971 (-171 (-576)))))
+   (-5 *2 (-656 (-304 (-971 (-171 *4))))) (-5 *1 (-389 *4))
+   (-4 *4 (-13 (-374) (-860)))))
  ((*1 *2 *3 *4)
-  (-12 (-4 *5 (-1121)) (-5 *2 (-904 *5 *3)) (-5 *1 (-902 *5 *3 *4))
-   (-2662 (-4 *3 (-1059 (-1197)))) (-2662 (-4 *3 (-1070)))
-   (-4 *3 (-901 *5)) (-4 *4 (-626 (-907 *5)))))) 
-(((*1 *1) (-5 *1 (-449)))) 
+  (-12 (-5 *3 (-304 (-419 (-971 (-171 (-576))))))
+   (-5 *2 (-656 (-304 (-971 (-171 *4))))) (-5 *1 (-389 *4))
+   (-4 *4 (-13 (-374) (-860)))))) 
+(((*1 *1 *1 *2) (-12 (-4 *1 (-1033)) (-5 *2 (-876))))) 
 (((*1 *1 *2 *1 *1) (-12 (-5 *2 (-1196)) (-5 *1 (-340))))
  ((*1 *1 *2 *1) (-12 (-5 *2 (-1196)) (-5 *1 (-340))))) 
-(((*1 *2 *3 *4 *4 *5)
-  (|partial| -12 (-5 *4 (-624 *3)) (-5 *5 (-656 *3))
-      (-4 *3 (-13 (-442 *6) (-27) (-1223)))
-      (-4 *6 (-13 (-464) (-1059 (-576)) (-148) (-651 (-576))))
-      (-5 *2
-       (-2 (|:| |mainpart| *3)
-        (|:| |limitedlogs|
-             (-656 (-2 (|:| |coeff| *3) (|:| |logand| *3))))))
-      (-5 *1 (-578 *6 *3 *7)) (-4 *7 (-1121))))) 
-(((*1 *2 *3 *3)
-  (-12 (-4 *4 (-1242)) (-4 *5 (-1264 *4))
-   (-5 *2
-    (-2 (|:| |func| *3) (|:| |poly| *3) (|:| |c1| (-419 *5))
-     (|:| |c2| (-419 *5)) (|:| |deg| (-783))))
-   (-5 *1 (-149 *4 *5 *3)) (-4 *3 (-1264 (-419 *5)))))) 
-(((*1 *2)
-  (-12 (-4 *3 (-568)) (-5 *2 (-656 (-701 *3))) (-5 *1 (-43 *3 *4))
-   (-4 *4 (-429 *3))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-783)) (-5 *2 (-1193 *4)) (-5 *1 (-540 *4))
+   (-4 *4 (-360))))) 
+(((*1 *1 *2 *3)
+  (-12 (-5 *2 (-1288 *3)) (-4 *3 (-1264 *4)) (-4 *4 (-1242))
+   (-4 *1 (-353 *4 *3 *5)) (-4 *5 (-1264 (-419 *3)))))) 
+(((*1 *2 *3 *2)
+  (-12 (-5 *2 (-112)) (-5 *3 (-656 (-270))) (-5 *1 (-268))))
+ ((*1 *1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-270))))) 
 (((*1 *1 *2 *3)
   (-12 (-5 *2 (-1197)) (-5 *3 (-656 *1)) (-4 *1 (-442 *4))
    (-4 *4 (-1121))))
@@ -9467,69 +9185,70 @@
  ((*1 *1 *2 *1)
   (-12 (-5 *2 (-1197)) (-4 *1 (-442 *3)) (-4 *3 (-1121))))) 
 (((*1 *2 *2)
-  (-12 (-5 *2 (-656 *6)) (-4 *6 (-1086 *3 *4 *5)) (-4 *3 (-568))
-   (-4 *4 (-805)) (-4 *5 (-861)) (-5 *1 (-998 *3 *4 *5 *6))))
- ((*1 *2 *3 *3)
-  (-12 (-4 *4 (-568)) (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-656 *3))
-   (-5 *1 (-998 *4 *5 *6 *3)) (-4 *3 (-1086 *4 *5 *6))))
- ((*1 *2 *2 *3)
-  (-12 (-5 *2 (-656 *3)) (-4 *3 (-1086 *4 *5 *6)) (-4 *4 (-568))
-   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *1 (-998 *4 *5 *6 *3))))
- ((*1 *2 *2 *2)
-  (-12 (-5 *2 (-656 *6)) (-4 *6 (-1086 *3 *4 *5)) (-4 *3 (-568))
-   (-4 *4 (-805)) (-4 *5 (-861)) (-5 *1 (-998 *3 *4 *5 *6))))
- ((*1 *2 *2 *2 *3)
-  (-12 (-5 *3 (-1 (-656 *7) (-656 *7))) (-5 *2 (-656 *7))
-   (-4 *7 (-1086 *4 *5 *6)) (-4 *4 (-568)) (-4 *5 (-805))
-   (-4 *6 (-861)) (-5 *1 (-998 *4 *5 *6 *7))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-834))))) 
-(((*1 *2 *2 *3 *4)
-  (-12 (-5 *3 (-656 (-624 *2))) (-5 *4 (-656 (-1197)))
-   (-4 *2 (-13 (-442 (-171 *5)) (-1023) (-1223))) (-4 *5 (-568))
-   (-5 *1 (-612 *5 *6 *2)) (-4 *6 (-13 (-442 *5) (-1023) (-1223)))))) 
-(((*1 *2 *3 *4 *4 *5 *3 *6)
-  (|partial| -12 (-5 *4 (-624 *3)) (-5 *5 (-656 *3)) (-5 *6 (-1193 *3))
-      (-4 *3 (-13 (-442 *7) (-27) (-1223)))
-      (-4 *7 (-13 (-464) (-1059 (-576)) (-148) (-651 (-576))))
-      (-5 *2
-       (-2 (|:| |mainpart| *3)
-        (|:| |limitedlogs|
-             (-656 (-2 (|:| |coeff| *3) (|:| |logand| *3))))))
-      (-5 *1 (-572 *7 *3 *8)) (-4 *8 (-1121))))
- ((*1 *2 *3 *4 *4 *5 *4 *3 *6)
-  (|partial| -12 (-5 *4 (-624 *3)) (-5 *5 (-656 *3))
-      (-5 *6 (-419 (-1193 *3))) (-4 *3 (-13 (-442 *7) (-27) (-1223)))
-      (-4 *7 (-13 (-464) (-1059 (-576)) (-148) (-651 (-576))))
-      (-5 *2
-       (-2 (|:| |mainpart| *3)
-        (|:| |limitedlogs|
-             (-656 (-2 (|:| |coeff| *3) (|:| |logand| *3))))))
-      (-5 *1 (-572 *7 *3 *8)) (-4 *8 (-1121))))) 
-(((*1 *2 *3 *4 *4 *3)
-  (|partial| -12 (-5 *4 (-624 *3))
-      (-4 *3 (-13 (-442 *5) (-27) (-1223)))
-      (-4 *5 (-13 (-464) (-1059 (-576)) (-148) (-651 (-576))))
-      (-5 *2 (-2 (|:| -4106 *3) (|:| |coeff| *3)))
-      (-5 *1 (-578 *5 *3 *6)) (-4 *6 (-1121))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-656 *7)) (-4 *7 (-1086 *4 *5 *6)) (-4 *4 (-568))
-   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))
-   (-5 *1 (-998 *4 *5 *6 *7))))) 
-(((*1 *2 *3)
-  (|partial| -12 (-5 *3 (-1288 *5)) (-4 *5 (-13 (-1070) (-651 *4)))
-      (-4 *4 (-568)) (-5 *2 (-1288 *4)) (-5 *1 (-650 *4 *5))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-656 (-177))) (-5 *1 (-1106))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-13 (-568) (-1059 (-576)))) (-4 *5 (-442 *4))
-   (-5 *2 (-430 *3)) (-5 *1 (-447 *4 *5 *3)) (-4 *3 (-1264 *5))))) 
-(((*1 *1) (-5 *1 (-1084)))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-13 (-568) (-1059 (-576)))) (-5 *2 (-419 (-576)))
-   (-5 *1 (-445 *4 *3)) (-4 *3 (-442 *4))))
+  (-12 (-4 *3 (-626 (-907 *3))) (-4 *3 (-901 *3)) (-4 *3 (-464))
+   (-5 *1 (-1229 *3 *2)) (-4 *2 (-626 (-907 *3))) (-4 *2 (-901 *3))
+   (-4 *2 (-13 (-442 *3) (-1223)))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-13 (-568) (-148))) (-5 *1 (-549 *3 *2))
+   (-4 *2 (-1279 *3))))
+ ((*1 *2 *2)
+  (-12 (-4 *3 (-13 (-374) (-379) (-626 (-576)))) (-4 *4 (-1264 *3))
+   (-4 *5 (-736 *3 *4)) (-5 *1 (-553 *3 *4 *5 *2)) (-4 *2 (-1279 *5))))
+ ((*1 *2 *2)
+  (-12 (-4 *3 (-13 (-374) (-379) (-626 (-576)))) (-5 *1 (-554 *3 *2))
+   (-4 *2 (-1279 *3))))
+ ((*1 *2 *2)
+  (-12 (-5 *2 (-1178 *3)) (-4 *3 (-13 (-568) (-148)))
+   (-5 *1 (-1174 *3))))) 
+(((*1 *2 *2 *2)
+  (-12 (-4 *3 (-374)) (-5 *1 (-778 *2 *3)) (-4 *2 (-720 *3))))
+ ((*1 *1 *1 *1) (-12 (-4 *1 (-866 *2)) (-4 *2 (-1070)) (-4 *2 (-374))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-1178 (-419 *3))) (-5 *1 (-176 *3)) (-4 *3 (-317))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-419 (-971 *5))) (-5 *4 (-1197))
+   (-4 *5 (-13 (-317) (-148))) (-5 *2 (-656 (-304 (-326 *5))))
+   (-5 *1 (-1150 *5))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-419 (-971 *4))) (-4 *4 (-13 (-317) (-148)))
+   (-5 *2 (-656 (-304 (-326 *4)))) (-5 *1 (-1150 *4))))
  ((*1 *2 *3 *4)
-  (-12 (-5 *4 (-624 *3)) (-4 *3 (-442 *5))
-   (-4 *5 (-13 (-568) (-1059 (-576)))) (-5 *2 (-1193 (-419 (-576))))
-   (-5 *1 (-445 *5 *3))))) 
+  (-12 (-5 *3 (-304 (-419 (-971 *5)))) (-5 *4 (-1197))
+   (-4 *5 (-13 (-317) (-148))) (-5 *2 (-656 (-304 (-326 *5))))
+   (-5 *1 (-1150 *5))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-304 (-419 (-971 *4)))) (-4 *4 (-13 (-317) (-148)))
+   (-5 *2 (-656 (-304 (-326 *4)))) (-5 *1 (-1150 *4))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 (-419 (-971 *5)))) (-5 *4 (-656 (-1197)))
+   (-4 *5 (-13 (-317) (-148))) (-5 *2 (-656 (-656 (-304 (-326 *5)))))
+   (-5 *1 (-1150 *5))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-656 (-419 (-971 *4)))) (-4 *4 (-13 (-317) (-148)))
+   (-5 *2 (-656 (-656 (-304 (-326 *4))))) (-5 *1 (-1150 *4))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 (-304 (-419 (-971 *5))))) (-5 *4 (-656 (-1197)))
+   (-4 *5 (-13 (-317) (-148))) (-5 *2 (-656 (-656 (-304 (-326 *5)))))
+   (-5 *1 (-1150 *5))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-656 (-304 (-419 (-971 *4)))))
+   (-4 *4 (-13 (-317) (-148))) (-5 *2 (-656 (-656 (-304 (-326 *4)))))
+   (-5 *1 (-1150 *4))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-1286 *2)) (-4 *2 (-1238)) (-4 *2 (-1023))
+   (-4 *2 (-1070))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-656 (-940))) (-5 *2 (-1199 (-419 (-576))))
+   (-5 *1 (-192))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-1307 *3)) (-4 *3 (-374)) (-5 *2 (-112))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
+(((*1 *2 *3 *3)
+  (-12 (-4 *4 (-568)) (-5 *2 (-2 (|:| |coef2| *3) (|:| -3498 *3)))
+   (-5 *1 (-990 *4 *3)) (-4 *3 (-1264 *4))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-940)) (-5 *4 (-430 *6)) (-4 *6 (-1264 *5))
+   (-4 *5 (-1070)) (-5 *2 (-656 *6)) (-5 *1 (-456 *5 *6))))) 
 (((*1 *1 *2 *1) (-12 (-5 *1 (-656 *2)) (-4 *2 (-1238))))
  ((*1 *1 *2 *1) (-12 (-5 *1 (-1178 *2)) (-4 *2 (-1238))))) 
 (((*1 *2 *2)
@@ -9537,65 +9256,141 @@
  ((*1 *2 *3)
   (-12 (-5 *3 (-1197)) (-5 *2 (-326 (-576))) (-5 *1 (-949))))) 
 (((*1 *2 *2) (|partial| -12 (-4 *1 (-1004 *2)) (-4 *2 (-1223))))) 
-(((*1 *1) (-5 *1 (-145))) ((*1 *1 *1) (-5 *1 (-876)))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-419 (-971 *4))) (-4 *4 (-317))
-   (-5 *2 (-419 (-430 (-971 *4)))) (-5 *1 (-1063 *4))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-568)) (-5 *2 (-656 *3)) (-5 *1 (-43 *4 *3))
-   (-4 *3 (-429 *4))))) 
+(((*1 *2 *3 *3 *3 *4 *3 *3 *4 *4 *4 *5)
+  (-12 (-5 *3 (-227)) (-5 *4 (-576))
+   (-5 *5 (-3 (|:| |fn| (-400)) (|:| |fp| (-64 G)))) (-5 *2 (-1056))
+   (-5 *1 (-760))))) 
+(((*1 *1 *2 *3)
+  (-12 (-5 *2 (-656 *3)) (-4 *3 (-968 *4 *6 *5)) (-4 *4 (-464))
+   (-4 *5 (-861)) (-4 *6 (-805)) (-5 *1 (-1008 *4 *5 *6 *3))))) 
+(((*1 *1 *2 *3 *1 *3)
+  (-12 (-5 *2 (-907 *4)) (-4 *4 (-1121)) (-5 *1 (-904 *4 *3))
+   (-4 *3 (-1121))))) 
+(((*1 *2 *3 *3)
+  (-12 (-5 *3 (-656 *7)) (-4 *7 (-1086 *4 *5 *6)) (-4 *4 (-464))
+   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))
+   (-5 *1 (-1009 *4 *5 *6 *7 *8)) (-4 *8 (-1092 *4 *5 *6 *7))))
+ ((*1 *2 *3 *3)
+  (-12 (-5 *3 (-656 *7)) (-4 *7 (-1086 *4 *5 *6)) (-4 *4 (-464))
+   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))
+   (-5 *1 (-1128 *4 *5 *6 *7 *8)) (-4 *8 (-1092 *4 *5 *6 *7))))) 
+(((*1 *2 *1 *3)
+  (-12 (-5 *3 (-1 (-112) *7 (-656 *7))) (-4 *1 (-1231 *4 *5 *6 *7))
+   (-4 *4 (-568)) (-4 *5 (-805)) (-4 *6 (-861))
+   (-4 *7 (-1086 *4 *5 *6)) (-5 *2 (-112))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-227))) (-5 *2 (-656 (-1179))) (-5 *1 (-194))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-227))) (-5 *2 (-656 (-1179))) (-5 *1 (-310))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-227))) (-5 *2 (-656 (-1179))) (-5 *1 (-315))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-907 *3)) (-4 *3 (-1121))))) 
+  (-12
+   (-5 *3
+    (-2 (|:| |xinit| (-227)) (|:| |xend| (-227))
+     (|:| |fn| (-1288 (-326 (-227)))) (|:| |yinit| (-656 (-227)))
+     (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227)))
+     (|:| |abserr| (-227)) (|:| |relerr| (-227))))
+   (-5 *2 (-390)) (-5 *1 (-207))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-1193 *7)) (-4 *7 (-968 *6 *4 *5)) (-4 *4 (-805))
-   (-4 *5 (-861)) (-4 *6 (-1070)) (-5 *2 (-1193 *6))
-   (-5 *1 (-331 *4 *5 *6 *7))))) 
+  (-12 (-5 *3 (-656 *4)) (-4 *4 (-1121)) (-5 *2 (-1293))
+   (-5 *1 (-1239 *4))))
+ ((*1 *2 *3 *3)
+  (-12 (-5 *3 (-656 *4)) (-4 *4 (-1121)) (-5 *2 (-1293))
+   (-5 *1 (-1239 *4))))) 
 (((*1 *2 *1)
-  (-12 (-5 *2 (-1178 (-2 (|:| |k| (-576)) (|:| |c| *3))))
-   (-5 *1 (-607 *3)) (-4 *3 (-1070))))) 
-(((*1 *2 *3)
-  (-12 (-5 *2 (-112)) (-5 *1 (-121 *3)) (-4 *3 (-1264 (-576)))))
- ((*1 *2 *3 *2)
-  (-12 (-5 *2 (-112)) (-5 *1 (-121 *3)) (-4 *3 (-1264 (-576)))))) 
-(((*1 *2 *2)
-  (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2))
-   (-4 *2 (-13 (-442 *3) (-1223)))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-253 *4 *5)) (-14 *4 (-656 (-1197))) (-4 *5 (-1070))
-   (-5 *2 (-493 *4 *5)) (-5 *1 (-963 *4 *5))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-568)) (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))
-   (-5 *1 (-998 *4 *5 *6 *3)) (-4 *3 (-1086 *4 *5 *6))))) 
-(((*1 *2 *1 *3)
-  (-12 (-5 *3 (-518)) (-5 *2 (-703 (-786))) (-5 *1 (-115))))
- ((*1 *2 *1 *3)
-  (|partial| -12 (-5 *3 (-1179)) (-5 *2 (-786)) (-5 *1 (-115))))
- ((*1 *1 *2 *3) (-12 (-5 *2 (-518)) (-5 *3 (-1125)) (-5 *1 (-984))))) 
-(((*1 *1 *2)
-  (-12 (-5 *2 (-684 *3)) (-4 *3 (-861)) (-4 *1 (-385 *3 *4))
-   (-4 *4 (-174))))) 
-(((*1 *2 *2 *3)
-  (-12 (-4 *3 (-374)) (-5 *1 (-295 *3 *2)) (-4 *2 (-1279 *3))))) 
+  (-12 (-5 *2 (-419 (-576))) (-5 *1 (-329 *3 *4 *5)) (-4 *3 (-374))
+   (-14 *4 (-1197)) (-14 *5 *3)))) 
+(((*1 *2 *1 *3 *3)
+  (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-834))))) 
+(((*1 *1 *1 *2)
+  (-12 (-5 *2 (-656 (-576))) (-5 *1 (-137 *3 *4 *5)) (-14 *3 (-576))
+   (-14 *4 (-783)) (-4 *5 (-174))))) 
+(((*1 *1 *1 *2)
+  (-12 (-5 *2 (-112)) (-5 *1 (-1161 *3 *4)) (-4 *3 (-13 (-1121) (-34)))
+   (-4 *4 (-13 (-1121) (-34)))))) 
+(((*1 *2)
+  (-12 (-4 *4 (-1242)) (-4 *5 (-1264 *4)) (-4 *6 (-1264 (-419 *5)))
+   (-5 *2 (-112)) (-5 *1 (-352 *3 *4 *5 *6)) (-4 *3 (-353 *4 *5 *6))))
+ ((*1 *2)
+  (-12 (-4 *1 (-353 *3 *4 *5)) (-4 *3 (-1242)) (-4 *4 (-1264 *3))
+   (-4 *5 (-1264 (-419 *4))) (-5 *2 (-112))))) 
+(((*1 *2 *3 *4 *5)
+  (-12 (-5 *4 (-1197)) (-5 *5 (-1115 (-227))) (-5 *2 (-946))
+   (-5 *1 (-944 *3)) (-4 *3 (-626 (-548)))))
+ ((*1 *2 *3 *3 *4 *5)
+  (-12 (-5 *4 (-1197)) (-5 *5 (-1115 (-227))) (-5 *2 (-946))
+   (-5 *1 (-944 *3)) (-4 *3 (-626 (-548)))))
+ ((*1 *1 *1 *2) (-12 (-5 *2 (-1115 (-227))) (-5 *1 (-945))))
+ ((*1 *1 *2 *2 *2 *2 *3 *3 *3 *3)
+  (-12 (-5 *2 (-1 (-227) (-227))) (-5 *3 (-1115 (-227)))
+   (-5 *1 (-945))))
+ ((*1 *1 *2 *2 *2 *2 *3)
+  (-12 (-5 *2 (-1 (-227) (-227))) (-5 *3 (-1115 (-227)))
+   (-5 *1 (-945))))
+ ((*1 *1 *1 *2) (-12 (-5 *2 (-1115 (-227))) (-5 *1 (-946))))
+ ((*1 *1 *2 *2 *3 *3 *3)
+  (-12 (-5 *2 (-1 (-227) (-227))) (-5 *3 (-1115 (-227)))
+   (-5 *1 (-946))))
+ ((*1 *1 *2 *2 *3)
+  (-12 (-5 *2 (-1 (-227) (-227))) (-5 *3 (-1115 (-227)))
+   (-5 *1 (-946))))
+ ((*1 *1 *2 *3 *3)
+  (-12 (-5 *2 (-656 (-1 (-227) (-227)))) (-5 *3 (-1115 (-227)))
+   (-5 *1 (-946))))
+ ((*1 *1 *2 *3)
+  (-12 (-5 *2 (-656 (-1 (-227) (-227)))) (-5 *3 (-1115 (-227)))
+   (-5 *1 (-946))))
+ ((*1 *1 *2 *3 *3)
+  (-12 (-5 *2 (-1 (-227) (-227))) (-5 *3 (-1115 (-227)))
+   (-5 *1 (-946))))
+ ((*1 *1 *2 *3)
+  (-12 (-5 *2 (-1 (-227) (-227))) (-5 *3 (-1115 (-227)))
+   (-5 *1 (-946))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *4 (-112)) (-4 *5 (-360))
+   (-5 *2
+    (-2 (|:| |cont| *5)
+     (|:| -2761 (-656 (-2 (|:| |irr| *3) (|:| -2567 (-576)))))))
+   (-5 *1 (-218 *5 *3)) (-4 *3 (-1264 *5))))) 
 (((*1 *2 *1)
-  (-12 (-5 *2 (-1123 (-1123 *3))) (-5 *1 (-923 *3)) (-4 *3 (-1121))))) 
-(((*1 *2 *2) (-12 (-5 *1 (-160 *2)) (-4 *2 (-557))))
- ((*1 *1 *2) (-12 (-5 *2 (-656 (-940))) (-5 *1 (-992))))) 
-(((*1 *2) (-12 (-5 *2 (-1179)) (-5 *1 (-246))))) 
-(((*1 *2 *3 *4 *5 *3 *6 *3)
-  (-12 (-5 *3 (-576)) (-5 *5 (-171 (-227))) (-5 *6 (-1179))
-   (-5 *4 (-227)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
-(((*1 *1 *1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-337 *3)) (-4 *3 (-1238))))
- ((*1 *1 *1 *2)
-  (-12 (-5 *2 (-576)) (-5 *1 (-528 *3 *4)) (-4 *3 (-1238)) (-14 *4 *2)))) 
+  (-12 (-4 *1 (-47 *3 *4)) (-4 *3 (-1070)) (-4 *4 (-804))
+   (-5 *2 (-112))))
+ ((*1 *2 *1)
+  (-12 (-4 *1 (-393 *3 *4)) (-4 *3 (-1070)) (-4 *4 (-1121))
+   (-5 *2 (-112))))
+ ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-607 *3)) (-4 *3 (-1070))))
+ ((*1 *2 *1)
+  (-12 (-4 *3 (-568)) (-5 *2 (-112)) (-5 *1 (-635 *3 *4))
+   (-4 *4 (-1264 *3))))
+ ((*1 *2 *1)
+  (-12 (-5 *2 (-112)) (-5 *1 (-747 *3 *4)) (-4 *3 (-1070))
+   (-4 *4 (-738))))
+ ((*1 *2 *1)
+  (-12 (-4 *1 (-1305 *3 *4)) (-4 *3 (-861)) (-4 *4 (-1070))
+   (-5 *2 (-112))))) 
 (((*1 *2 *1)
-  (-12 (-4 *3 (-464)) (-4 *4 (-861)) (-4 *5 (-805)) (-5 *2 (-656 *6))
-   (-5 *1 (-1008 *3 *4 *5 *6)) (-4 *6 (-968 *3 *5 *4))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-1178 (-656 (-940)))) (-5 *1 (-898))))) 
+  (|partial| -12 (-4 *3 (-13 (-1059 (-576)) (-651 (-576)) (-464)))
+      (-5 *2
+       (-2
+        (|:| |%term|
+             (-2 (|:| |%coef| (-1273 *4 *5 *6))
+              (|:| |%expon| (-329 *4 *5 *6))
+              (|:| |%expTerms|
+                   (-656 (-2 (|:| |k| (-419 (-576))) (|:| |c| *4))))))
+        (|:| |%type| (-1179))))
+      (-5 *1 (-1274 *3 *4 *5 *6)) (-4 *4 (-13 (-27) (-1223) (-442 *3)))
+      (-14 *5 (-1197)) (-14 *6 *4)))) 
+(((*1 *2 *2) (|partial| -12 (-5 *2 (-326 (-227))) (-5 *1 (-276))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-907 *3)) (-4 *3 (-1121))))
+ ((*1 *2 *1)
+  (-12 (-4 *1 (-1124 *3 *4 *5 *6 *7)) (-4 *3 (-1121)) (-4 *4 (-1121))
+   (-4 *5 (-1121)) (-4 *6 (-1121)) (-4 *7 (-1121)) (-5 *2 (-112))))) 
+(((*1 *2 *2 *2)
+  (-12 (-5 *2 (-656 *6)) (-4 *6 (-1086 *3 *4 *5)) (-4 *3 (-464))
+   (-4 *3 (-568)) (-4 *4 (-805)) (-4 *5 (-861))
+   (-5 *1 (-998 *3 *4 *5 *6))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-1070)) (-4 *3 (-1264 *4)) (-4 *2 (-1279 *4))
+   (-5 *1 (-1282 *4 *3 *5 *2)) (-4 *5 (-668 *3))))) 
+(((*1 *2 *3 *4 *5 *6 *7)
+  (-12 (-5 *3 (-1178 (-2 (|:| |k| (-576)) (|:| |c| *6))))
+   (-5 *4 (-1047 (-855 (-576)))) (-5 *5 (-1197)) (-5 *7 (-419 (-576)))
+   (-4 *6 (-1070)) (-5 *2 (-876)) (-5 *1 (-607 *6))))) 
 (((*1 *2 *1) (-12 (-5 *2 (-576)) (-5 *1 (-321))))
  ((*1 *2 *1)
   (-12 (-5 *2 (-783)) (-5 *1 (-1185 *3 *4)) (-14 *3 (-940))
@@ -9616,51 +9411,80 @@
  ((*1 *2 *2)
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))) 
-(((*1 *2 *1 *3)
-  (-12 (-5 *3 (-656 *1)) (-4 *1 (-1086 *4 *5 *6)) (-4 *4 (-1070))
-   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))))
- ((*1 *2 *1 *1)
-  (-12 (-4 *1 (-1086 *3 *4 *5)) (-4 *3 (-1070)) (-4 *4 (-805))
-   (-4 *5 (-861)) (-5 *2 (-112))))
- ((*1 *2 *3 *1 *4)
-  (-12 (-5 *4 (-1 (-112) *3 *3)) (-4 *1 (-1231 *5 *6 *7 *3))
-   (-4 *5 (-568)) (-4 *6 (-805)) (-4 *7 (-861))
-   (-4 *3 (-1086 *5 *6 *7)) (-5 *2 (-112))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-656 (-576))) (-5 *1 (-1025 *3)) (-14 *3 (-576))))) 
+(((*1 *2 *1 *1)
+  (-12 (-4 *1 (-997 *3 *4 *5 *6)) (-4 *3 (-1070)) (-4 *4 (-805))
+   (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5)) (-4 *3 (-568))
+   (-5 *2 (-112))))) 
+(((*1 *1 *1 *1 *1) (-5 *1 (-876))) ((*1 *1 *1 *1) (-5 *1 (-876)))
+ ((*1 *1 *1) (-5 *1 (-876)))) 
+(((*1 *2 *1) (-12 (-5 *2 (-656 (-850))) (-5 *1 (-141))))) 
 (((*1 *2 *2)
-  (-12 (-4 *3 (-13 (-374) (-860))) (-5 *1 (-183 *3 *2))
-   (-4 *2 (-1264 (-171 *3)))))) 
-(((*1 *2 *3 *3 *3 *4)
-  (-12 (-5 *3 (-1 (-227) (-227) (-227)))
-   (-5 *4 (-1 (-227) (-227) (-227) (-227)))
-   (-5 *2 (-1 (-962 (-227)) (-227) (-227))) (-5 *1 (-709))))) 
-(((*1 *2 *2 *3 *3)
-  (-12 (-5 *3 (-576)) (-4 *4 (-174)) (-4 *5 (-384 *4))
-   (-4 *6 (-384 *4)) (-5 *1 (-700 *4 *5 *6 *2))
-   (-4 *2 (-699 *4 *5 *6))))) 
-(((*1 *1 *1)
-  (-12 (-4 *1 (-699 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-384 *2))
-   (-4 *4 (-384 *2))))) 
+  (-12 (-4 *3 (-568)) (-5 *1 (-41 *3 *2))
+   (-4 *2
+    (-13 (-374) (-312)
+     (-10 -8 (-15 -1570 ((-1146 *3 (-624 $)) $))
+      (-15 -1581 ((-1146 *3 (-624 $)) $))
+      (-15 -3570 ($ (-1146 *3 (-624 $)))))))))
+ ((*1 *2 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-41 *3 *2))
+   (-4 *2
+    (-13 (-374) (-312)
+     (-10 -8 (-15 -1570 ((-1146 *3 (-624 $)) $))
+      (-15 -1581 ((-1146 *3 (-624 $)) $))
+      (-15 -3570 ($ (-1146 *3 (-624 $)))))))))
+ ((*1 *2 *2 *3)
+  (-12 (-5 *3 (-656 *2))
+   (-4 *2
+    (-13 (-374) (-312)
+     (-10 -8 (-15 -1570 ((-1146 *4 (-624 $)) $))
+      (-15 -1581 ((-1146 *4 (-624 $)) $))
+      (-15 -3570 ($ (-1146 *4 (-624 $)))))))
+   (-4 *4 (-568)) (-5 *1 (-41 *4 *2))))
+ ((*1 *2 *2 *3)
+  (-12 (-5 *3 (-656 (-624 *2)))
+   (-4 *2
+    (-13 (-374) (-312)
+     (-10 -8 (-15 -1570 ((-1146 *4 (-624 $)) $))
+      (-15 -1581 ((-1146 *4 (-624 $)) $))
+      (-15 -3570 ($ (-1146 *4 (-624 $)))))))
+   (-4 *4 (-568)) (-5 *1 (-41 *4 *2))))) 
+(((*1 *1 *2)
+  (-12 (-5 *2 (-656 (-656 *3))) (-4 *3 (-1121)) (-5 *1 (-924 *3))))) 
 (((*1 *2 *3)
-  (-12 (-14 *4 (-656 (-1197))) (-4 *5 (-464))
-   (-5 *2
-    (-2 (|:| |glbase| (-656 (-253 *4 *5))) (|:| |glval| (-656 (-576)))))
-   (-5 *1 (-643 *4 *5)) (-5 *3 (-656 (-253 *4 *5)))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-341 *3)) (-4 *3 (-861))))) 
-(((*1 *2 *1 *3 *4 *4 *5)
-  (-12 (-5 *3 (-962 (-227))) (-5 *4 (-888)) (-5 *5 (-940))
-   (-5 *2 (-1293)) (-5 *1 (-480))))
- ((*1 *2 *1 *3)
-  (-12 (-5 *3 (-962 (-227))) (-5 *2 (-1293)) (-5 *1 (-480))))
- ((*1 *2 *1 *3 *4 *4 *5)
-  (-12 (-5 *3 (-656 (-962 (-227)))) (-5 *4 (-888)) (-5 *5 (-940))
-   (-5 *2 (-1293)) (-5 *1 (-480))))) 
+  (-12 (-4 *4 (-13 (-374) (-1059 (-419 *2)))) (-5 *2 (-576))
+   (-5 *1 (-116 *4 *3)) (-4 *3 (-1264 *4))))) 
 (((*1 *2 *2)
-  (-12 (-5 *2 (-656 *6)) (-4 *6 (-968 *3 *4 *5)) (-4 *3 (-464))
-   (-4 *4 (-805)) (-4 *5 (-861)) (-5 *1 (-461 *3 *4 *5 *6))))) 
-(((*1 *2 *1)
-  (-12 (-4 *1 (-1155 *3)) (-4 *3 (-1070))
-   (-5 *2 (-656 (-656 (-656 (-962 *3)))))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-539)) (-5 *2 (-703 (-1246)))))) 
+  (|partial| -12 (-4 *3 (-374)) (-4 *4 (-384 *3)) (-4 *5 (-384 *3))
+      (-5 *1 (-533 *3 *4 *5 *2)) (-4 *2 (-699 *3 *4 *5))))
+ ((*1 *2 *3)
+  (|partial| -12 (-4 *4 (-568)) (-4 *5 (-384 *4)) (-4 *6 (-384 *4))
+      (-4 *7 (-1013 *4)) (-4 *2 (-699 *7 *8 *9))
+      (-5 *1 (-534 *4 *5 *6 *3 *7 *8 *9 *2)) (-4 *3 (-699 *4 *5 *6))
+      (-4 *8 (-384 *7)) (-4 *9 (-384 *7))))
+ ((*1 *1 *1)
+  (|partial| -12 (-4 *1 (-699 *2 *3 *4)) (-4 *2 (-1070))
+      (-4 *3 (-384 *2)) (-4 *4 (-384 *2)) (-4 *2 (-374))))
+ ((*1 *2 *2)
+  (|partial| -12 (-4 *3 (-374)) (-4 *3 (-174)) (-4 *4 (-384 *3))
+      (-4 *5 (-384 *3)) (-5 *1 (-700 *3 *4 *5 *2))
+      (-4 *2 (-699 *3 *4 *5))))
+ ((*1 *1 *1)
+  (|partial| -12 (-5 *1 (-701 *2)) (-4 *2 (-374)) (-4 *2 (-1070))))
+ ((*1 *1 *1)
+  (|partial| -12 (-4 *1 (-1144 *2 *3 *4 *5)) (-4 *3 (-1070))
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+ ((*1 *2 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-861)) (-5 *1 (-1208 *3))))) 
+(((*1 *2 *3)
+  (|partial| -12 (-5 *2 (-576)) (-5 *1 (-581 *3)) (-4 *3 (-1059 *2))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-568)) (-4 *5 (-805)) (-4 *6 (-861))
+   (-4 *7 (-1086 *4 *5 *6))
+   (-5 *2 (-2 (|:| |goodPols| (-656 *7)) (|:| |badPols| (-656 *7))))
+   (-5 *1 (-998 *4 *5 *6 *7)) (-5 *3 (-656 *7))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-845 *3)) (-4 *3 (-1121))))
+ ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-855 *3)) (-4 *3 (-1121))))) 
 (((*1 *1 *1) (-4 *1 (-35)))
  ((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
@@ -9677,21 +9501,22 @@
  ((*1 *2 *2)
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-38 (-419 (-576))))
    (-5 *1 (-1183 *3))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-1 *5 *4)) (-4 *4 (-1121)) (-4 *5 (-1121))
-   (-5 *2 (-1 *5)) (-5 *1 (-695 *4 *5))))) 
-(((*1 *1 *1)
-  (-12 (|has| *1 (-6 -4464)) (-4 *1 (-152 *2)) (-4 *2 (-1238))
-   (-4 *2 (-1121))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-400)) (-5 *1 (-448))))
- ((*1 *2 *2 *2) (-12 (-5 *2 (-400)) (-5 *1 (-448))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-1193 *6)) (-4 *6 (-1070)) (-4 *4 (-805)) (-4 *5 (-861))
-   (-5 *2 (-1193 *7)) (-5 *1 (-331 *4 *5 *6 *7))
-   (-4 *7 (-968 *6 *4 *5))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-946))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *3 (-1197))
+   (-4 *4 (-13 (-317) (-1059 (-576)) (-651 (-576)) (-148)))
+   (-5 *1 (-816 *4 *2)) (-4 *2 (-13 (-29 *4) (-1223) (-978)))))) 
 (((*1 *2 *3 *3)
   (-12 (-5 *2 (-1178 (-656 (-576)))) (-5 *1 (-898))
+   (-5 *3 (-656 (-576)))))
+ ((*1 *2 *3)
+  (-12 (-5 *2 (-1178 (-656 (-576)))) (-5 *1 (-898))
    (-5 *3 (-656 (-576)))))) 
+(((*1 *1 *1)
+  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-1 *5 *4 *4)) (-4 *4 (-1121)) (-4 *5 (-1121))
+   (-5 *2 (-1 *5 *4)) (-5 *1 (-695 *4 *5))))) 
 (((*1 *2 *1 *3 *3 *2)
   (-12 (-5 *3 (-576)) (-4 *1 (-57 *2 *4 *5)) (-4 *2 (-1238))
    (-4 *4 (-384 *2)) (-4 *5 (-384 *2))))
@@ -9720,14 +9545,14 @@
   (-12 (-5 *3 (-1197)) (-5 *2 (-250 (-1179))) (-5 *1 (-216 *4))
    (-4 *4
     (-13 (-861)
-     (-10 -8 (-15 -2796 ((-1179) $ *3)) (-15 -1976 ((-1293) $))
-      (-15 -3579 ((-1293) $)))))))
+     (-10 -8 (-15 -2797 ((-1179) $ *3)) (-15 -1977 ((-1293) $))
+      (-15 -3420 ((-1293) $)))))))
  ((*1 *1 *1 *2)
   (-12 (-5 *2 (-1010)) (-5 *1 (-216 *3))
    (-4 *3
     (-13 (-861)
-     (-10 -8 (-15 -2796 ((-1179) $ (-1197))) (-15 -1976 ((-1293) $))
-      (-15 -3579 ((-1293) $)))))))
+     (-10 -8 (-15 -2797 ((-1179) $ (-1197))) (-15 -1977 ((-1293) $))
+      (-15 -3420 ((-1293) $)))))))
  ((*1 *2 *1 *3)
   (-12 (-5 *3 "count") (-5 *2 (-783)) (-5 *1 (-250 *4)) (-4 *4 (-861))))
  ((*1 *1 *1 *2) (-12 (-5 *2 "sort") (-5 *1 (-250 *3)) (-4 *3 (-861))))
@@ -9791,41 +9616,25 @@
   (-12 (-5 *2 "rest") (-4 *1 (-1276 *3)) (-4 *3 (-1238))))
  ((*1 *2 *1 *3)
   (-12 (-5 *3 "first") (-4 *1 (-1276 *2)) (-4 *2 (-1238))))) 
-(((*1 *2 *2 *1)
-  (-12 (-4 *1 (-1231 *3 *4 *5 *2)) (-4 *3 (-568)) (-4 *4 (-805))
-   (-4 *5 (-861)) (-4 *2 (-1086 *3 *4 *5))))) 
-(((*1 *1 *2)
-  (-12 (-5 *2 (-1273 *3 *4 *5)) (-4 *3 (-374)) (-14 *4 (-1197))
-   (-14 *5 *3) (-5 *1 (-329 *3 *4 *5))))
- ((*1 *2 *3) (-12 (-5 *2 (-1 (-390))) (-5 *1 (-1061)) (-5 *3 (-390))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-227)) (-5 *1 (-228))))
+ ((*1 *2 *2) (-12 (-5 *2 (-171 (-227))) (-5 *1 (-228))))) 
 (((*1 *2 *2)
-  (-12 (-4 *3 (-13 (-568) (-148))) (-5 *1 (-549 *3 *2))
-   (-4 *2 (-1279 *3))))
- ((*1 *2 *2)
-  (-12 (-4 *3 (-13 (-374) (-379) (-626 (-576)))) (-4 *4 (-1264 *3))
-   (-4 *5 (-736 *3 *4)) (-5 *1 (-553 *3 *4 *5 *2)) (-4 *2 (-1279 *5))))
- ((*1 *2 *2)
-  (-12 (-4 *3 (-13 (-374) (-379) (-626 (-576)))) (-5 *1 (-554 *3 *2))
-   (-4 *2 (-1279 *3))))
- ((*1 *2 *2)
-  (-12 (-5 *2 (-1178 *3)) (-4 *3 (-13 (-568) (-148)))
-   (-5 *1 (-1174 *3))))) 
-(((*1 *2 *3 *2)
-  (-12 (-5 *2 (-1178 (-656 (-576)))) (-5 *3 (-656 (-576)))
-   (-5 *1 (-898))))) 
-(((*1 *2 *3 *4)
-  (-12 (-4 *5 (-805)) (-4 *6 (-861)) (-4 *7 (-568))
-   (-4 *3 (-968 *7 *5 *6))
+  (-12
    (-5 *2
-    (-2 (|:| -4210 (-783)) (|:| -1714 *3) (|:| |radicand| (-656 *3))))
-   (-5 *1 (-972 *5 *6 *7 *3 *8)) (-5 *4 (-783))
-   (-4 *8
-    (-13 (-374)
-     (-10 -8 (-15 -3569 ($ *3)) (-15 -1570 (*3 $)) (-15 -1581 (*3 $)))))))) 
-(((*1 *2 *3 *3 *3 *3 *4 *3 *5)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227)))
-   (-5 *5 (-3 (|:| |fn| (-400)) (|:| |fp| (-79 LSFUN1))))
-   (-5 *2 (-1056)) (-5 *1 (-765))))) 
+    (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| *4)
+     (|:| |xpnt| (-576))))
+   (-4 *4 (-13 (-1264 *3) (-568) (-10 -8 (-15 -3498 ($ $ $)))))
+   (-4 *3 (-568)) (-5 *1 (-1267 *3 *4))))) 
+(((*1 *2 *3 *3)
+  (-12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
+   (-4 *7 (-1086 *4 *5 *6)) (-5 *2 (-112))
+   (-5 *1 (-1009 *4 *5 *6 *7 *3)) (-4 *3 (-1092 *4 *5 *6 *7))))
+ ((*1 *2 *3 *3)
+  (-12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
+   (-4 *7 (-1086 *4 *5 *6)) (-5 *2 (-112))
+   (-5 *1 (-1128 *4 *5 *6 *7 *3)) (-4 *3 (-1092 *4 *5 *6 *7))))) 
+(((*1 *1) (-5 *1 (-815)))) 
+(((*1 *1 *2 *3) (-12 (-5 *3 (-576)) (-5 *1 (-430 *2)) (-4 *2 (-568))))) 
 (((*1 *1 *1) (-4 *1 (-35)))
  ((*1 *2 *2)
   (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
@@ -9845,40 +9654,59 @@
 (((*1 *1 *2 *3 *4)
   (-12 (-5 *2 (-1197)) (-5 *3 (-446)) (-4 *5 (-1121))
    (-5 *1 (-1127 *5 *4)) (-4 *4 (-442 *5))))) 
+(((*1 *2 *1 *1)
+  (-12 (-4 *1 (-1031 *3)) (-4 *3 (-1238)) (-5 *2 (-576))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-1197)) (-5 *2 (-548)) (-5 *1 (-547 *4))
-   (-4 *4 (-1238))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-446))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1125)) (-5 *1 (-340))))) 
-(((*1 *1 *1) (-12 (-5 *1 (-304 *2)) (-4 *2 (-21)) (-4 *2 (-1238))))) 
-(((*1 *1)
-  (-12 (-5 *1 (-137 *2 *3 *4)) (-14 *2 (-576)) (-14 *3 (-783))
-   (-4 *4 (-174))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-493 *4 *5))) (-14 *4 (-656 (-1197)))
-   (-4 *5 (-464)) (-5 *2 (-656 (-253 *4 *5))) (-5 *1 (-643 *4 *5))))) 
-(((*1 *1) (-12 (-4 *1 (-1066 *2)) (-4 *2 (-23))))) 
-(((*1 *1 *1 *1) (|partial| -4 *1 (-132)))) 
-(((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-1027))))) 
-(((*1 *2 *2 *3)
-  (-12 (-5 *2 (-1193 *6)) (-5 *3 (-576)) (-4 *6 (-317)) (-4 *4 (-805))
-   (-4 *5 (-861)) (-5 *1 (-754 *4 *5 *6 *7)) (-4 *7 (-968 *6 *4 *5))))) 
-(((*1 *2 *3 *3)
-  (-12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
-   (-4 *7 (-1086 *4 *5 *6)) (-5 *2 (-112))
-   (-5 *1 (-1009 *4 *5 *6 *7 *3)) (-4 *3 (-1092 *4 *5 *6 *7))))
- ((*1 *2 *3 *3)
-  (-12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
-   (-4 *7 (-1086 *4 *5 *6)) (-5 *2 (-112))
-   (-5 *1 (-1128 *4 *5 *6 *7 *3)) (-4 *3 (-1092 *4 *5 *6 *7))))) 
+  (-12 (-5 *3 (-656 *4)) (-4 *4 (-374)) (-5 *2 (-701 *4))
+   (-5 *1 (-826 *4 *5)) (-4 *5 (-668 *4))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 *5)) (-5 *4 (-783)) (-4 *5 (-374))
+   (-5 *2 (-701 *5)) (-5 *1 (-826 *5 *6)) (-4 *6 (-668 *5))))) 
+(((*1 *1 *1) (-5 *1 (-1084)))) 
+(((*1 *2 *1)
+  (-12
+   (-5 *2
+    (-656
+     (-656
+      (-3 (|:| -2629 (-1197))
+       (|:| -3059 (-656 (-3 (|:| S (-1197)) (|:| P (-971 (-576))))))))))
+   (-5 *1 (-1201))))) 
+(((*1 *2 *2 *2)
+  (-12 (-5 *2 (-701 *3)) (-4 *3 (-1070)) (-5 *1 (-702 *3))))) 
+(((*1 *1 *2)
+  (-12 (-5 *2 (-656 *1)) (-4 *3 (-1070)) (-4 *1 (-699 *3 *4 *5))
+   (-4 *4 (-384 *3)) (-4 *5 (-384 *3))))
+ ((*1 *1 *2)
+  (-12 (-5 *2 (-656 *3)) (-4 *3 (-1070)) (-4 *1 (-699 *3 *4 *5))
+   (-4 *4 (-384 *3)) (-4 *5 (-384 *3))))
+ ((*1 *1 *2)
+  (-12 (-5 *2 (-1288 *3)) (-4 *3 (-1070)) (-5 *1 (-701 *3))))
+ ((*1 *1 *2)
+  (-12 (-5 *2 (-656 *4)) (-4 *4 (-1070)) (-4 *1 (-1144 *3 *4 *5 *6))
+   (-4 *5 (-243 *3 *4)) (-4 *6 (-243 *3 *4))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 (-701 *5))) (-4 *5 (-317)) (-4 *5 (-1070))
+   (-5 *2 (-1288 (-1288 *5))) (-5 *1 (-1050 *5)) (-5 *4 (-1288 *5))))) 
+(((*1 *2 *3 *3 *3 *3 *4 *3 *5 *5 *5 *3)
+  (-12 (-5 *3 (-576)) (-5 *5 (-701 (-227))) (-5 *4 (-227))
+   (-5 *2 (-1056)) (-5 *1 (-762))))) 
+(((*1 *1 *1)
+  (|partial| -12 (-5 *1 (-304 *2)) (-4 *2 (-738)) (-4 *2 (-1238))))) 
 (((*1 *2 *3)
-  (-12 (-4 *4 (-568))
-   (-5 *2 (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| -2455 *4)))
-   (-5 *1 (-990 *4 *3)) (-4 *3 (-1264 *4))))) 
-(((*1 *2 *2)
-  (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2))
-   (-4 *2 (-13 (-442 *3) (-1223)))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1178 *3)) (-5 *1 (-176 *3)) (-4 *3 (-317))))) 
+  (-12 (-5 *2 (-1 (-962 *3) (-962 *3))) (-5 *1 (-178 *3))
+   (-4 *3 (-13 (-374) (-1223) (-1023)))))) 
+(((*1 *2 *3 *4 *5 *4)
+  (-12 (-5 *3 (-701 (-227))) (-5 *4 (-576)) (-5 *5 (-112))
+   (-5 *2 (-1056)) (-5 *1 (-757))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-656 (-390))) (-5 *1 (-270))))
+ ((*1 *1)
+  (|partial| -12 (-4 *1 (-378 *2)) (-4 *2 (-568)) (-4 *2 (-174))))
+ ((*1 *2 *1) (-12 (-5 *1 (-430 *2)) (-4 *2 (-568))))) 
+(((*1 *2 *3 *3 *4 *5 *5 *5 *3)
+  (-12 (-5 *3 (-576)) (-5 *4 (-1179)) (-5 *5 (-701 (-227)))
+   (-5 *2 (-1056)) (-5 *1 (-759))))) 
+(((*1 *1 *1 *1) (-5 *1 (-163)))
+ ((*1 *1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-163))))) 
 (((*1 *2 *1) (-12 (-4 *1 (-234 *2)) (-4 *2 (-1238))))
  ((*1 *1 *1 *2) (-12 (-4 *1 (-237)) (-5 *2 (-783))))
  ((*1 *1 *1 *2 *3)
@@ -9906,88 +9734,303 @@
   (-12 (-5 *2 (-656 *3)) (-4 *1 (-919 *3)) (-4 *3 (-1121))))
  ((*1 *1 *1 *2 *1)
   (-12 (-5 *2 (-1 *3 *3)) (-4 *1 (-1264 *3)) (-4 *3 (-1070))))) 
-(((*1 *1 *1 *2)
-  (-12 (-5 *2 (-656 (-52))) (-5 *1 (-907 *3)) (-4 *3 (-1121))))) 
+(((*1 *2 *3 *4 *4 *3 *5 *3 *6 *4 *7 *8 *9)
+  (-12 (-5 *4 (-576)) (-5 *5 (-1179)) (-5 *6 (-701 (-227)))
+   (-5 *7 (-3 (|:| |fn| (-400)) (|:| |fp| (-89 G))))
+   (-5 *8 (-3 (|:| |fn| (-400)) (|:| |fp| (-86 FCN))))
+   (-5 *9 (-3 (|:| |fn| (-400)) (|:| |fp| (-88 OUTPUT))))
+   (-5 *3 (-227)) (-5 *2 (-1056)) (-5 *1 (-761))))) 
 (((*1 *1 *2 *2)
   (-12
    (-5 *2
-    (-3 (|:| I (-326 (-576))) (|:| -1959 (-326 (-390)))
+    (-3 (|:| I (-326 (-576))) (|:| -1962 (-326 (-390)))
      (|:| CF (-326 (-171 (-390)))) (|:| |switch| (-1196))))
    (-5 *1 (-1196))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-374)) (-4 *4 (-568)) (-4 *5 (-1264 *4))
+   (-5 *2 (-2 (|:| -3708 (-635 *4 *5)) (|:| -4020 (-419 *5))))
+   (-5 *1 (-635 *4 *5)) (-5 *3 (-419 *5))))
+ ((*1 *2 *1)
+  (-12 (-5 *2 (-656 (-1185 *3 *4))) (-5 *1 (-1185 *3 *4))
+   (-14 *3 (-940)) (-4 *4 (-1070))))
+ ((*1 *2 *1 *1)
+  (-12 (-4 *3 (-464)) (-4 *3 (-1070))
+   (-5 *2 (-2 (|:| |primePart| *1) (|:| |commonPart| *1)))
+   (-4 *1 (-1264 *3))))) 
 (((*1 *1 *2) (-12 (-5 *2 (-1179)) (-5 *1 (-876))))) 
-(((*1 *1 *1)
-  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
-(((*1 *2 *2 *3 *4 *4)
-  (-12 (-5 *4 (-576)) (-4 *3 (-174)) (-4 *5 (-384 *3))
-   (-4 *6 (-384 *3)) (-5 *1 (-700 *3 *5 *6 *2))
-   (-4 *2 (-699 *3 *5 *6))))) 
-(((*1 *1) (-12 (-4 *1 (-339 *2)) (-4 *2 (-379)) (-4 *2 (-374))))
+(((*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-1172))))) 
+(((*1 *2 *2 *3 *3)
+  (-12 (-5 *3 (-1197))
+   (-4 *4 (-13 (-317) (-148) (-1059 (-576)) (-651 (-576))))
+   (-5 *1 (-634 *4 *2)) (-4 *2 (-13 (-1223) (-978) (-29 *4)))))) 
+(((*1 *2 *1) (|partial| -12 (-5 *2 (-1179)) (-5 *1 (-1219))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 (-419 (-971 (-576)))))
+   (-5 *2 (-656 (-656 (-304 (-971 *4))))) (-5 *1 (-391 *4))
+   (-4 *4 (-13 (-860) (-374)))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 (-304 (-419 (-971 (-576))))))
+   (-5 *2 (-656 (-656 (-304 (-971 *4))))) (-5 *1 (-391 *4))
+   (-4 *4 (-13 (-860) (-374)))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-419 (-971 (-576)))) (-5 *2 (-656 (-304 (-971 *4))))
+   (-5 *1 (-391 *4)) (-4 *4 (-13 (-860) (-374)))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-304 (-419 (-971 (-576)))))
+   (-5 *2 (-656 (-304 (-971 *4)))) (-5 *1 (-391 *4))
+   (-4 *4 (-13 (-860) (-374)))))
+ ((*1 *2 *3 *4 *5)
+  (|partial| -12 (-5 *5 (-1197))
+      (-4 *6 (-13 (-317) (-1059 (-576)) (-651 (-576)) (-148)))
+      (-4 *4 (-13 (-29 *6) (-1223) (-978)))
+      (-5 *2 (-2 (|:| |particular| *4) (|:| -1593 (-656 *4))))
+      (-5 *1 (-664 *6 *4 *3)) (-4 *3 (-668 *4))))
+ ((*1 *2 *3 *2 *4 *2 *5)
+  (|partial| -12 (-5 *4 (-1197)) (-5 *5 (-656 *2))
+      (-4 *2 (-13 (-29 *6) (-1223) (-978)))
+      (-4 *6 (-13 (-317) (-1059 (-576)) (-651 (-576)) (-148)))
+      (-5 *1 (-664 *6 *2 *3)) (-4 *3 (-668 *2))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-701 *5)) (-4 *5 (-374))
+   (-5 *2
+    (-2 (|:| |particular| (-3 (-1288 *5) "failed"))
+     (|:| -1593 (-656 (-1288 *5)))))
+   (-5 *1 (-679 *5)) (-5 *4 (-1288 *5))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 (-656 *5))) (-4 *5 (-374))
+   (-5 *2
+    (-2 (|:| |particular| (-3 (-1288 *5) "failed"))
+     (|:| -1593 (-656 (-1288 *5)))))
+   (-5 *1 (-679 *5)) (-5 *4 (-1288 *5))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-701 *5)) (-4 *5 (-374))
+   (-5 *2
+    (-656
+     (-2 (|:| |particular| (-3 (-1288 *5) "failed"))
+      (|:| -1593 (-656 (-1288 *5))))))
+   (-5 *1 (-679 *5)) (-5 *4 (-656 (-1288 *5)))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 (-656 *5))) (-4 *5 (-374))
+   (-5 *2
+    (-656
+     (-2 (|:| |particular| (-3 (-1288 *5) "failed"))
+      (|:| -1593 (-656 (-1288 *5))))))
+   (-5 *1 (-679 *5)) (-5 *4 (-656 (-1288 *5)))))
+ ((*1 *2 *3 *4)
+  (-12 (-4 *5 (-374)) (-4 *6 (-13 (-384 *5) (-10 -7 (-6 -4466))))
+   (-4 *4 (-13 (-384 *5) (-10 -7 (-6 -4466))))
+   (-5 *2
+    (-2 (|:| |particular| (-3 *4 "failed")) (|:| -1593 (-656 *4))))
+   (-5 *1 (-680 *5 *6 *4 *3)) (-4 *3 (-699 *5 *6 *4))))
+ ((*1 *2 *3 *4)
+  (-12 (-4 *5 (-374)) (-4 *6 (-13 (-384 *5) (-10 -7 (-6 -4466))))
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+   (-5 *2
+    (-656
+     (-2 (|:| |particular| (-3 *7 "failed")) (|:| -1593 (-656 *7)))))
+   (-5 *1 (-680 *5 *6 *7 *3)) (-5 *4 (-656 *7))
+   (-4 *3 (-699 *5 *6 *7))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 (-971 *5))) (-5 *4 (-656 (-1197))) (-4 *5 (-568))
+   (-5 *2 (-656 (-656 (-304 (-419 (-971 *5)))))) (-5 *1 (-782 *5))))
  ((*1 *2 *3)
-  (-12 (-5 *3 (-940)) (-5 *2 (-1288 *4)) (-5 *1 (-540 *4))
-   (-4 *4 (-360))))) 
+  (-12 (-5 *3 (-656 (-971 *4))) (-4 *4 (-568))
+   (-5 *2 (-656 (-656 (-304 (-419 (-971 *4)))))) (-5 *1 (-782 *4))))
+ ((*1 *2 *2 *2 *3 *4)
+  (|partial| -12 (-5 *3 (-115)) (-5 *4 (-1197))
+      (-4 *5 (-13 (-317) (-1059 (-576)) (-651 (-576)) (-148)))
+      (-5 *1 (-784 *5 *2)) (-4 *2 (-13 (-29 *5) (-1223) (-978)))))
+ ((*1 *2 *3 *4 *5)
+  (|partial| -12 (-5 *3 (-701 *7)) (-5 *5 (-1197))
+      (-4 *7 (-13 (-29 *6) (-1223) (-978)))
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+      (-5 *1 (-814 *6 *7)) (-5 *4 (-1288 *7))))
+ ((*1 *2 *3 *4)
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+ ((*1 *2 *3 *4 *5)
+  (|partial| -12 (-5 *3 (-656 (-304 *7))) (-5 *4 (-656 (-115)))
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+      (-5 *1 (-814 *6 *7))))
+ ((*1 *2 *3 *4 *5)
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+      (-5 *1 (-814 *6 *7))))
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@@ -9996,142 +10039,129 @@
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+      (-5 *2
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+        (|:| |limitedlogs|
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+  (-12
+   (-5 *2
+    (-656
+     (-2 (|:| |lcmfij| *4) (|:| |totdeg| (-783)) (|:| |poli| *6)
+      (|:| |polj| *6))))
+   (-4 *4 (-805)) (-4 *6 (-968 *3 *4 *5)) (-4 *3 (-464)) (-4 *5 (-861))
+   (-5 *1 (-461 *3 *4 *5 *6))))) 
+(((*1 *2 *1 *1)
+  (-12 (-4 *3 (-568)) (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861))
+   (-5 *2 (-656 *1)) (-4 *1 (-1086 *3 *4 *5))))) 
 (((*1 *1) (-12 (-4 *1 (-477 *2 *3)) (-4 *2 (-174)) (-4 *3 (-23))))
  ((*1 *1) (-5 *1 (-548))) ((*1 *1) (-4 *1 (-734)))
  ((*1 *1) (-4 *1 (-738)))
  ((*1 *1) (-12 (-5 *1 (-907 *2)) (-4 *2 (-1121))))
  ((*1 *1) (-12 (-5 *1 (-908 *2)) (-4 *2 (-861))))) 
+(((*1 *2 *1 *3)
+  (-12 (-5 *3 (-940)) (-4 *4 (-379)) (-4 *4 (-374)) (-5 *2 (-1193 *1))
+   (-4 *1 (-339 *4))))
+ ((*1 *2 *1) (-12 (-4 *1 (-339 *3)) (-4 *3 (-374)) (-5 *2 (-1193 *3))))
+ ((*1 *2 *1)
+  (-12 (-4 *1 (-381 *3 *2)) (-4 *3 (-174)) (-4 *3 (-374))
+   (-4 *2 (-1264 *3))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-1288 *4)) (-4 *4 (-360)) (-5 *2 (-1193 *4))
+   (-5 *1 (-540 *4))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-13 (-568) (-1059 (-576)) (-651 (-576))))
+   (-5 *1 (-286 *3 *2)) (-4 *2 (-13 (-27) (-1223) (-442 *3)))))
+ ((*1 *2 *2 *3)
+  (-12 (-5 *3 (-1197))
+   (-4 *4 (-13 (-568) (-1059 (-576)) (-651 (-576))))
+   (-5 *1 (-286 *4 *2)) (-4 *2 (-13 (-27) (-1223) (-442 *4)))))) 
+(((*1 *2 *3 *3)
+  (-12 (-5 *3 (-1288 *5)) (-4 *5 (-804)) (-5 *2 (-112))
+   (-5 *1 (-857 *4 *5)) (-14 *4 (-783))))) 
+(((*1 *2 *3 *3 *4)
+  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-1124 *3 *4 *5 *6 *7)) (-4 *3 (-1121)) (-4 *4 (-1121))
+   (-4 *5 (-1121)) (-4 *6 (-1121)) (-4 *7 (-1121)) (-5 *2 (-112))))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *4 (-656 (-656 *8))) (-5 *3 (-656 *8))
-   (-4 *8 (-968 *5 *7 *6)) (-4 *5 (-13 (-317) (-148)))
-   (-4 *6 (-13 (-861) (-626 (-1197)))) (-4 *7 (-805)) (-5 *2 (-112))
-   (-5 *1 (-943 *5 *6 *7 *8))))) 
+  (-12 (-5 *4 (-656 *3)) (-4 *3 (-1264 *5)) (-4 *5 (-317))
+   (-5 *2 (-783)) (-5 *1 (-467 *5 *3))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-834))))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *3 (-783)) (-5 *4 (-576)) (-5 *1 (-457 *2)) (-4 *2 (-1070))))) 
-(((*1 *2 *3 *4 *5)
-  (-12 (-5 *3 (-1 *5 *6 *5)) (-5 *4 (-59 *6)) (-4 *6 (-1238))
-   (-4 *5 (-1238)) (-5 *2 (-59 *5)) (-5 *1 (-58 *6 *5))))
- ((*1 *2 *3 *4 *5)
-  (-12 (-5 *3 (-1 *5 *7 *5)) (-5 *4 (-245 *6 *7)) (-14 *6 (-783))
-   (-4 *7 (-1238)) (-4 *5 (-1238)) (-5 *2 (-245 *6 *5))
-   (-5 *1 (-244 *6 *7 *5))))
- ((*1 *2 *3 *4 *5)
-  (-12 (-5 *3 (-1 *5 *6 *5)) (-4 *6 (-1238)) (-4 *5 (-1238))
-   (-4 *2 (-384 *5)) (-5 *1 (-382 *6 *4 *5 *2)) (-4 *4 (-384 *6))))
- ((*1 *2 *3 *4 *5)
-  (-12 (-5 *3 (-1 *5 *6 *5)) (-4 *6 (-1121)) (-4 *5 (-1121))
-   (-4 *2 (-437 *5)) (-5 *1 (-435 *6 *4 *5 *2)) (-4 *4 (-437 *6))))
- ((*1 *2 *3 *4 *5)
-  (-12 (-5 *3 (-1 *5 *6 *5)) (-5 *4 (-656 *6)) (-4 *6 (-1238))
-   (-4 *5 (-1238)) (-5 *2 (-656 *5)) (-5 *1 (-654 *6 *5))))
- ((*1 *2 *3 *4 *5)
-  (-12 (-5 *3 (-1 *5 *6 *5)) (-5 *4 (-977 *6)) (-4 *6 (-1238))
-   (-4 *5 (-1238)) (-5 *2 (-977 *5)) (-5 *1 (-976 *6 *5))))
- ((*1 *2 *3 *4 *5)
-  (-12 (-5 *4 (-1 *3 *6 *3)) (-5 *5 (-1178 *6)) (-4 *6 (-1238))
-   (-4 *3 (-1238)) (-5 *2 (-1178 *3)) (-5 *1 (-1176 *6 *3))))
- ((*1 *2 *3 *4 *5)
-  (-12 (-5 *3 (-1 *5 *6 *5)) (-5 *4 (-1288 *6)) (-4 *6 (-1238))
-   (-4 *5 (-1238)) (-5 *2 (-1288 *5)) (-5 *1 (-1287 *6 *5))))) 
-(((*1 *2 *1)
-  (-12 (-4 *1 (-339 *3)) (-4 *3 (-374)) (-4 *3 (-379))
-   (-5 *2 (-1193 *3))))) 
-(((*1 *1 *1 *1 *2)
-  (|partial| -12 (-5 *2 (-112)) (-5 *1 (-607 *3)) (-4 *3 (-1070))))) 
-(((*1 *1 *1 *2) (-12 (-5 *2 (-783)) (-5 *1 (-115))))
- ((*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-115))))
- ((*1 *2 *1 *3)
-  (-12 (-4 *1 (-260 *4 *3 *5 *6)) (-4 *4 (-1070)) (-4 *3 (-861))
-   (-4 *5 (-275 *3)) (-4 *6 (-805)) (-5 *2 (-783))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-260 *3 *4 *5 *6)) (-4 *3 (-1070)) (-4 *4 (-861))
-   (-4 *5 (-275 *4)) (-4 *6 (-805)) (-5 *2 (-783))))
- ((*1 *2 *1) (-12 (-4 *1 (-275 *3)) (-4 *3 (-861)) (-5 *2 (-783))))) 
-(((*1 *2 *2 *2)
-  (-12 (-4 *3 (-38 (-419 (-576)))) (-5 *1 (-1281 *3 *2))
-   (-4 *2 (-1279 *3))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-836))))) 
+  (-12 (-5 *4 (-1197))
+   (-4 *5 (-13 (-1059 (-576)) (-464) (-651 (-576))))
+   (-5 *2 (-2 (|:| -1411 *3) (|:| |nconst| *3))) (-5 *1 (-579 *5 *3))
+   (-4 *3 (-13 (-27) (-1223) (-442 *5)))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-962 *2)) (-5 *1 (-1003 *2)) (-4 *2 (-1070))))) 
-(((*1 *1 *1 *1)
-  (-12 (-4 *1 (-1086 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-805))
-   (-4 *4 (-861)) (-4 *2 (-568))))
- ((*1 *1 *1 *2)
-  (-12 (-4 *1 (-1086 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-805))
-   (-4 *4 (-861)) (-4 *2 (-568))))) 
+  (-12 (-5 *3 (-656 *7)) (-4 *7 (-968 *4 *5 *6)) (-4 *4 (-464))
+   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-1293))
+   (-5 *1 (-461 *4 *5 *6 *7))))) 
+(((*1 *2 *2 *1) (|partial| -12 (-5 *2 (-656 *1)) (-4 *1 (-939))))) 
 (((*1 *1) (-4 *1 (-23)))
  ((*1 *1) (-12 (-4 *1 (-482 *2 *3)) (-4 *2 (-174)) (-4 *3 (-23))))
  ((*1 *1) (-5 *1 (-548)))
@@ -10140,25 +10170,29 @@
   (-12 (-4 *3 (-1121)) (-4 *4 (-13 (-1070) (-901 *3) (-626 *2)))
    (-5 *2 (-907 *3)) (-5 *1 (-1097 *3 *4 *5))
    (-4 *5 (-13 (-442 *4) (-901 *3) (-626 *2)))))) 
-(((*1 *2 *1)
-  (-12 (-5 *2 (-962 *4)) (-5 *1 (-1185 *3 *4)) (-14 *3 (-940))
-   (-4 *4 (-1070))))) 
-(((*1 *2 *3 *4 *4 *5 *3 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *5 (-227))
-   (-5 *2 (-1056)) (-5 *1 (-764))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-1298))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1223)))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *3 (-1 (-112) *4 *4)) (-4 *4 (-1238)) (-5 *1 (-1153 *4 *2))
+   (-4 *2 (-13 (-616 (-576) *4) (-10 -7 (-6 -4465) (-6 -4466))))))
+ ((*1 *2 *2)
+  (-12 (-4 *3 (-861)) (-4 *3 (-1238)) (-5 *1 (-1153 *3 *2))
+   (-4 *2 (-13 (-616 (-576) *3) (-10 -7 (-6 -4465) (-6 -4466))))))) 
 (((*1 *1 *2) (-12 (-5 *2 (-1141)) (-5 *1 (-973))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-539)) (-5 *2 (-703 (-559)))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-656 (-1179))) (-5 *1 (-406))))
- ((*1 *2 *1) (-12 (-5 *2 (-656 (-1179))) (-5 *1 (-1218))))) 
-(((*1 *1 *2 *3 *1)
-  (-12 (-14 *4 (-656 (-1197))) (-4 *2 (-174))
-   (-4 *3 (-243 (-3502 *4) (-783)))
-   (-14 *6
-    (-1 (-112) (-2 (|:| -3223 *5) (|:| -4210 *3))
-     (-2 (|:| -3223 *5) (|:| -4210 *3))))
-   (-5 *1 (-473 *4 *2 *5 *3 *6 *7)) (-4 *5 (-861))
-   (-4 *7 (-968 *2 *3 (-878 *4)))))) 
+(((*1 *2 *3 *4 *4 *5 *4 *6 *4 *5)
+  (-12 (-5 *3 (-1179)) (-5 *5 (-701 (-227))) (-5 *6 (-701 (-576)))
+   (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-769))))) 
+(((*1 *1 *1 *2)
+  (-12 (-4 *3 (-374)) (-4 *4 (-805)) (-4 *5 (-861))
+   (-5 *1 (-516 *3 *4 *5 *2)) (-4 *2 (-968 *3 *4 *5))))
+ ((*1 *1 *1 *1)
+  (-12 (-4 *2 (-374)) (-4 *3 (-805)) (-4 *4 (-861))
+   (-5 *1 (-516 *2 *3 *4 *5)) (-4 *5 (-968 *2 *3 *4))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *3 (-656 (-656 (-656 *4)))) (-5 *2 (-656 (-656 *4)))
+   (-4 *4 (-861)) (-5 *1 (-1208 *4))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-836)) (-5 *1 (-837))))) 
 (((*1 *1 *1 *2) (-12 (-5 *2 (-518)) (-5 *1 (-115))))
  ((*1 *2 *2 *3)
   (-12 (-5 *3 (-518)) (-4 *4 (-1121)) (-5 *1 (-948 *4 *2))
@@ -10166,27 +10200,25 @@
  ((*1 *2 *3 *4)
   (-12 (-5 *3 (-1197)) (-5 *4 (-518)) (-5 *2 (-326 (-576)))
    (-5 *1 (-949))))) 
-(((*1 *1 *1 *1)
-  (-12 (-4 *1 (-1264 *2)) (-4 *2 (-1070)) (-4 *2 (-568))))) 
-(((*1 *2 *2 *2)
-  (|partial| -12 (-4 *3 (-13 (-568) (-148))) (-5 *1 (-1258 *3 *2))
-      (-4 *2 (-1264 *3))))) 
-(((*1 *1 *1 *2) (-12 (-4 *1 (-732)) (-5 *2 (-940))))
- ((*1 *1 *1 *2) (-12 (-4 *1 (-734)) (-5 *2 (-783))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-13 (-374) (-10 -8 (-15 ** ($ $ (-419 (-576)))))))
-   (-5 *2 (-656 *4)) (-5 *1 (-1149 *3 *4)) (-4 *3 (-1264 *4))))
- ((*1 *2 *3 *3 *3)
-  (-12 (-4 *3 (-13 (-374) (-10 -8 (-15 ** ($ $ (-419 (-576)))))))
-   (-5 *2 (-656 *3)) (-5 *1 (-1149 *4 *3)) (-4 *4 (-1264 *3))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-1124 *3 *4 *5 *6 *7)) (-4 *3 (-1121)) (-4 *4 (-1121))
+   (-4 *5 (-1121)) (-4 *6 (-1121)) (-4 *7 (-1121)) (-5 *2 (-112))))) 
+(((*1 *2 *2 *3 *4)
+  (|partial| -12 (-5 *3 (-783)) (-4 *4 (-13 (-568) (-148)))
+      (-5 *1 (-1258 *4 *2)) (-4 *2 (-1264 *4))))) 
+(((*1 *2 *1 *1)
+  (-12
+   (-5 *2
+    (-2 (|:| -3230 *3) (|:| |coef1| (-794 *3)) (|:| |coef2| (-794 *3))))
+   (-5 *1 (-794 *3)) (-4 *3 (-568)) (-4 *3 (-1070))))) 
 (((*1 *2 *1 *3)
-  (-12 (-5 *3 (|[\|\|]| -2140)) (-5 *2 (-112)) (-5 *1 (-629))))
+  (-12 (-5 *3 (|[\|\|]| -2142)) (-5 *2 (-112)) (-5 *1 (-629))))
  ((*1 *2 *1 *3)
-  (-12 (-5 *3 (|[\|\|]| -3858)) (-5 *2 (-112)) (-5 *1 (-629))))
+  (-12 (-5 *3 (|[\|\|]| -3863)) (-5 *2 (-112)) (-5 *1 (-629))))
  ((*1 *2 *1 *3)
-  (-12 (-5 *3 (|[\|\|]| -3512)) (-5 *2 (-112)) (-5 *1 (-629))))
+  (-12 (-5 *3 (|[\|\|]| -3513)) (-5 *2 (-112)) (-5 *1 (-629))))
  ((*1 *2 *1 *3)
-  (-12 (-5 *3 (|[\|\|]| -1403)) (-5 *2 (-112)) (-5 *1 (-703 *4))
+  (-12 (-5 *3 (|[\|\|]| -1404)) (-5 *2 (-112)) (-5 *1 (-703 *4))
    (-4 *4 (-625 (-876)))))
  ((*1 *2 *1 *3)
   (-12 (-5 *3 (|[\|\|]| *4)) (-4 *4 (-625 (-876))) (-5 *2 (-112))
@@ -10269,6 +10301,9 @@
   (-12 (-5 *3 (|[\|\|]| (-227))) (-5 *2 (-112)) (-5 *1 (-1202))))
  ((*1 *2 *1 *3)
   (-12 (-5 *3 (|[\|\|]| (-576))) (-5 *2 (-112)) (-5 *1 (-1202))))) 
+(((*1 *1 *1 *1)
+  (-12 (-4 *1 (-333 *2 *3)) (-4 *2 (-1121)) (-4 *3 (-132))
+   (-4 *3 (-804))))) 
 (((*1 *1 *2) (-12 (-5 *2 (-158)) (-5 *1 (-888))))) 
 (((*1 *2 *1) (-12 (-5 *2 (-1139)) (-5 *1 (-220))))
  ((*1 *2 *1) (-12 (-5 *2 (-1139)) (-5 *1 (-451))))
@@ -10276,250 +10311,224 @@
  ((*1 *2 *1) (-12 (-5 *2 (-1139)) (-5 *1 (-1136))))
  ((*1 *1 *2 *3)
   (-12 (-5 *2 (-656 (-1202))) (-5 *3 (-1202)) (-5 *1 (-1139))))) 
-(((*1 *2 *2 *3)
-  (-12 (-4 *3 (-374)) (-5 *1 (-1046 *3 *2)) (-4 *2 (-668 *3))))
- ((*1 *2 *3 *4)
-  (-12 (-4 *5 (-374)) (-5 *2 (-2 (|:| -4026 *3) (|:| -1757 (-656 *5))))
-   (-5 *1 (-1046 *5 *3)) (-5 *4 (-656 *5)) (-4 *3 (-668 *5))))) 
-(((*1 *1 *1 *2)
-  (-12 (-5 *2 (-656 (-52))) (-5 *1 (-907 *3)) (-4 *3 (-1121))))) 
-(((*1 *2 *3 *3)
-  (-12 (-5 *3 (-656 *4)) (-4 *4 (-374)) (-4 *2 (-1264 *4))
-   (-5 *1 (-941 *4 *2))))) 
+(((*1 *2 *3 *4 *4 *3 *3 *5)
+  (|partial| -12 (-5 *4 (-624 *3)) (-5 *5 (-1193 *3))
+      (-4 *3 (-13 (-442 *6) (-27) (-1223)))
+      (-4 *6 (-13 (-464) (-1059 (-576)) (-148) (-651 (-576))))
+      (-5 *2 (-2 (|:| -1698 *3) (|:| |coeff| *3)))
+      (-5 *1 (-572 *6 *3 *7)) (-4 *7 (-1121))))
+ ((*1 *2 *3 *4 *4 *3 *4 *3 *5)
+  (|partial| -12 (-5 *4 (-624 *3)) (-5 *5 (-419 (-1193 *3)))
+      (-4 *3 (-13 (-442 *6) (-27) (-1223)))
+      (-4 *6 (-13 (-464) (-1059 (-576)) (-148) (-651 (-576))))
+      (-5 *2 (-2 (|:| -1698 *3) (|:| |coeff| *3)))
+      (-5 *1 (-572 *6 *3 *7)) (-4 *7 (-1121))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-876)) (-5 *2 (-1293)) (-5 *1 (-1159))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-656 (-876))) (-5 *2 (-1293)) (-5 *1 (-1159))))) 
+(((*1 *2 *3 *3 *3 *3 *4 *4 *3)
+  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
+   (-5 *1 (-767))))) 
+(((*1 *1 *2 *1) (-12 (-5 *2 (-109)) (-5 *1 (-177))))) 
+(((*1 *2 *1 *3 *3)
+  (-12 (-5 *3 (-158)) (-5 *2 (-1293)) (-5 *1 (-1290))))) 
 (((*1 *2 *3)
-  (-12 (-5 *2 (-656 (-1193 (-576)))) (-5 *1 (-193)) (-5 *3 (-576))))) 
-(((*1 *1 *1 *2 *3)
-  (-12 (-5 *2 (-783)) (-5 *3 (-962 *5)) (-4 *5 (-1070))
-   (-5 *1 (-1185 *4 *5)) (-14 *4 (-940))))
- ((*1 *1 *1 *2 *3)
-  (-12 (-5 *2 (-656 (-783))) (-5 *3 (-783)) (-5 *1 (-1185 *4 *5))
-   (-14 *4 (-940)) (-4 *5 (-1070))))
- ((*1 *1 *1 *2 *3)
-  (-12 (-5 *2 (-656 (-783))) (-5 *3 (-962 *5)) (-4 *5 (-1070))
-   (-5 *1 (-1185 *4 *5)) (-14 *4 (-940))))) 
-(((*1 *2)
-  (-12 (-4 *3 (-464)) (-4 *4 (-805)) (-4 *5 (-861))
-   (-4 *6 (-1086 *3 *4 *5)) (-5 *2 (-1293))
-   (-5 *1 (-1093 *3 *4 *5 *6 *7)) (-4 *7 (-1092 *3 *4 *5 *6))))
- ((*1 *2)
-  (-12 (-4 *3 (-464)) (-4 *4 (-805)) (-4 *5 (-861))
-   (-4 *6 (-1086 *3 *4 *5)) (-5 *2 (-1293))
-   (-5 *1 (-1129 *3 *4 *5 *6 *7)) (-4 *7 (-1092 *3 *4 *5 *6))))) 
-(((*1 *1 *1) (-12 (-4 *1 (-292 *2)) (-4 *2 (-1238)) (-4 *2 (-1121))))
- ((*1 *1 *1) (-12 (-4 *1 (-707 *2)) (-4 *2 (-1121))))) 
+  (-12 (-5 *3 (-656 *7)) (-4 *7 (-968 *4 *6 *5))
+   (-4 *4 (-13 (-317) (-148))) (-4 *5 (-13 (-861) (-626 (-1197))))
+   (-4 *6 (-805)) (-5 *2 (-112)) (-5 *1 (-943 *4 *5 *6 *7))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-656 (-971 *4))) (-4 *4 (-13 (-317) (-148)))
+   (-4 *5 (-13 (-861) (-626 (-1197)))) (-4 *6 (-805)) (-5 *2 (-112))
+   (-5 *1 (-943 *4 *5 *6 *7)) (-4 *7 (-968 *4 *6 *5))))) 
+(((*1 *2 *3 *2)
+  (-12 (-5 *2 (-940)) (-5 *3 (-656 (-270))) (-5 *1 (-268))))
+ ((*1 *1 *2) (-12 (-5 *2 (-940)) (-5 *1 (-270))))) 
+(((*1 *2 *3 *4 *4 *5)
+  (-12 (-5 *3 (-1 (-171 (-227)) (-171 (-227)))) (-5 *4 (-1115 (-227)))
+   (-5 *5 (-112)) (-5 *2 (-1290)) (-5 *1 (-264))))) 
 (((*1 *2 *2)
-  (-12 (-5 *2 (-962 *3)) (-4 *3 (-13 (-374) (-1223) (-1023)))
-   (-5 *1 (-178 *3))))) 
-(((*1 *2 *3)
-  (-12 (-5 *2 (-576)) (-5 *1 (-457 *3)) (-4 *3 (-416)) (-4 *3 (-1070))))) 
+  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1023)))))) 
 (((*1 *1 *1 *1) (-5 *1 (-112))) ((*1 *1 *1 *1) (-4 *1 (-124)))
  ((*1 *1 *1 *1) (-5 *1 (-1141)))) 
+(((*1 *2 *3) (-12 (-5 *3 (-783)) (-5 *2 (-1293)) (-5 *1 (-390))))
+ ((*1 *2) (-12 (-5 *2 (-1293)) (-5 *1 (-390))))) 
+(((*1 *2 *3 *4 *5)
+  (-12 (-5 *4 (-112)) (-4 *6 (-13 (-464) (-1059 (-576)) (-651 (-576))))
+   (-4 *3 (-13 (-27) (-1223) (-442 *6) (-10 -8 (-15 -3570 ($ *7)))))
+   (-4 *7 (-860))
+   (-4 *8
+    (-13 (-1266 *3 *7) (-374) (-1223)
+     (-10 -8 (-15 -2775 ($ $)) (-15 -1491 ($ $)))))
+   (-5 *2
+    (-3 (|:| |%series| *8)
+     (|:| |%problem| (-2 (|:| |func| (-1179)) (|:| |prob| (-1179))))))
+   (-5 *1 (-434 *6 *3 *7 *8 *9 *10)) (-5 *5 (-1179)) (-4 *9 (-1004 *8))
+   (-14 *10 (-1197))))) 
+(((*1 *1) (-5 *1 (-142)))) 
 (((*1 *2 *3)
-  (-12 (|has| *2 (-6 (-4466 "*"))) (-4 *5 (-384 *2)) (-4 *6 (-384 *2))
-   (-4 *2 (-1070)) (-5 *1 (-104 *2 *3 *4 *5 *6)) (-4 *3 (-1264 *2))
-   (-4 *4 (-699 *2 *5 *6))))) 
+  (|partial| -12 (-4 *4 (-13 (-568) (-148)))
+      (-5 *2 (-2 (|:| -4240 *3) (|:| -4250 *3))) (-5 *1 (-1258 *4 *3))
+      (-4 *3 (-1264 *4))))) 
+(((*1 *2 *3) (-12 (-5 *2 (-419 (-576))) (-5 *1 (-573)) (-5 *3 (-576))))
+ ((*1 *2 *3)
+  (-12 (-5 *2 (-1193 (-419 (-576)))) (-5 *1 (-961)) (-5 *3 (-576))))) 
+(((*1 *2 *3)
+  (|partial| -12 (-4 *4 (-568)) (-4 *5 (-805)) (-4 *6 (-861))
+      (-4 *7 (-1086 *4 *5 *6))
+      (-5 *2 (-2 (|:| |bas| (-488 *4 *5 *6 *7)) (|:| -1419 (-656 *7))))
+      (-5 *1 (-998 *4 *5 *6 *7)) (-5 *3 (-656 *7))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-568)) (-5 *2 (-783)) (-5 *1 (-43 *4 *3))
+   (-4 *3 (-429 *4))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-1276 *3)) (-4 *3 (-1238)) (-5 *2 (-783))))) 
+(((*1 *1 *1 *1) (-4 *1 (-113))) ((*1 *1 *1 *1) (-5 *1 (-876)))) 
+(((*1 *2 *3 *4 *5 *4)
+  (-12 (-5 *3 (-701 (-227))) (-5 *4 (-576)) (-5 *5 (-112))
+   (-5 *2 (-1056)) (-5 *1 (-757))))) 
+(((*1 *1 *1 *2 *3)
+  (-12 (-5 *2 (-783)) (-5 *3 (-962 *4)) (-4 *1 (-1155 *4))
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 (((*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-31))))
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@@ -10531,63 +10540,58 @@
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-   (-4 *3 (-1264 *4))))) 
+(((*1 *2 *3)
+  (|partial| -12 (-5 *2 (-576)) (-5 *1 (-1220 *3)) (-4 *3 (-1070))))) 
+(((*1 *1 *2 *3) (-12 (-5 *3 (-576)) (-5 *1 (-430 *2)) (-4 *2 (-568))))) 
 (((*1 *1 *1 *2) (-12 (-4 *1 (-1165)) (-5 *2 (-142))))
  ((*1 *1 *1 *2) (-12 (-4 *1 (-1165)) (-5 *2 (-145))))) 
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-  (|partial| -12 (-5 *5 (-656 *4)) (-4 *4 (-374)) (-5 *2 (-1288 *4))
-      (-5 *1 (-826 *4 *3)) (-4 *3 (-668 *4))))) 
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-  (-12 (-5 *3 (-576)) (-5 *5 (-701 (-227)))
-   (-5 *6 (-3 (|:| |fn| (-400)) (|:| |fp| (-67 DOT))))
-   (-5 *7 (-3 (|:| |fn| (-400)) (|:| |fp| (-68 IMAGE)))) (-5 *4 (-227))
-   (-5 *2 (-1056)) (-5 *1 (-767))))
- ((*1 *2 *3 *3 *4 *3 *3 *3 *3 *3 *3 *3 *5 *3 *6 *7 *8)
-  (-12 (-5 *3 (-576)) (-5 *5 (-701 (-227)))
-   (-5 *6 (-3 (|:| |fn| (-400)) (|:| |fp| (-67 DOT))))
-   (-5 *7 (-3 (|:| |fn| (-400)) (|:| |fp| (-68 IMAGE)))) (-5 *8 (-400))
-   (-5 *4 (-227)) (-5 *2 (-1056)) (-5 *1 (-767))))) 
-(((*1 *2)
-  (-12 (-4 *3 (-568)) (-5 *2 (-656 *4)) (-5 *1 (-43 *3 *4))
-   (-4 *4 (-429 *3))))) 
+(((*1 *1 *1 *2)
+  (-12 (-4 *1 (-997 *3 *4 *2 *5)) (-4 *3 (-1070)) (-4 *4 (-805))
+   (-4 *2 (-861)) (-4 *5 (-1086 *3 *4 *2))))) 
+(((*1 *1 *2 *1)
+  (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1121)) (-4 *3 (-23))
+   (-14 *4 *3)))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *3 (-1 (-112) *8)) (-4 *8 (-1086 *5 *6 *7)) (-4 *5 (-568))
-   (-4 *6 (-805)) (-4 *7 (-861))
-   (-5 *2 (-2 (|:| |goodPols| (-656 *8)) (|:| |badPols| (-656 *8))))
-   (-5 *1 (-998 *5 *6 *7 *8)) (-5 *4 (-656 *8))))) 
-(((*1 *2 *3 *4 *5 *6)
-  (|partial| -12 (-5 *4 (-1 *8 *8))
-      (-5 *5
-       (-1 (-2 (|:| |ans| *7) (|:| -4249 *7) (|:| |sol?| (-112)))
-        (-576) *7))
-      (-5 *6 (-656 (-419 *8))) (-4 *7 (-374)) (-4 *8 (-1264 *7))
-      (-5 *3 (-419 *8))
-      (-5 *2
-       (-2
-        (|:| |answer|
-             (-2 (|:| |mainpart| *3)
-              (|:| |limitedlogs|
-                   (-656 (-2 (|:| |coeff| *3) (|:| |logand| *3))))))
-        (|:| |a0| *7)))
-      (-5 *1 (-586 *7 *8))))) 
-(((*1 *2 *3 *4 *4)
-  (-12 (-5 *4 (-1197)) (-5 *2 (-1 *7 *5 *6)) (-5 *1 (-714 *3 *5 *6 *7))
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-   (-4 *7 (-1238))))
- ((*1 *2 *3 *4)
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-   (-4 *3 (-626 (-548))) (-4 *5 (-1238)) (-4 *6 (-1238))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-656 (-326 (-227)))) (-5 *1 (-276))))) 
+  (|partial| -12 (-5 *3 (-1 (-3 *5 "failed") *8))
+      (-5 *4 (-701 (-1193 *8))) (-4 *5 (-1070)) (-4 *8 (-1070))
+      (-4 *6 (-1264 *5)) (-5 *2 (-701 *6)) (-5 *1 (-513 *5 *6 *7 *8))
+      (-4 *7 (-1264 *6))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-2 (|:| |var| (-656 (-1197))) (|:| |pred| (-52))))
+   (-5 *1 (-907 *3)) (-4 *3 (-1121))))) 
+(((*1 *1 *2 *3)
+  (-12 (-5 *2 (-1288 (-1197))) (-5 *3 (-1288 (-465 *4 *5 *6 *7)))
+   (-5 *1 (-465 *4 *5 *6 *7)) (-4 *4 (-174)) (-14 *5 (-940))
+   (-14 *6 (-656 (-1197))) (-14 *7 (-1288 (-701 *4)))))
+ ((*1 *1 *2 *3)
+  (-12 (-5 *2 (-1197)) (-5 *3 (-1288 (-465 *4 *5 *6 *7)))
+   (-5 *1 (-465 *4 *5 *6 *7)) (-4 *4 (-174)) (-14 *5 (-940))
+   (-14 *6 (-656 *2)) (-14 *7 (-1288 (-701 *4)))))
+ ((*1 *1 *2)
+  (-12 (-5 *2 (-1288 (-465 *3 *4 *5 *6))) (-5 *1 (-465 *3 *4 *5 *6))
+   (-4 *3 (-174)) (-14 *4 (-940)) (-14 *5 (-656 (-1197)))
+   (-14 *6 (-1288 (-701 *3)))))
+ ((*1 *1 *2)
+  (-12 (-5 *2 (-1288 (-1197))) (-5 *1 (-465 *3 *4 *5 *6))
+   (-4 *3 (-174)) (-14 *4 (-940)) (-14 *5 (-656 (-1197)))
+   (-14 *6 (-1288 (-701 *3)))))
+ ((*1 *1 *2)
+  (-12 (-5 *2 (-1197)) (-5 *1 (-465 *3 *4 *5 *6)) (-4 *3 (-174))
+   (-14 *4 (-940)) (-14 *5 (-656 *2)) (-14 *6 (-1288 (-701 *3)))))
+ ((*1 *1)
+  (-12 (-5 *1 (-465 *2 *3 *4 *5)) (-4 *2 (-174)) (-14 *3 (-940))
+   (-14 *4 (-656 (-1197))) (-14 *5 (-1288 (-701 *2)))))) 
+(((*1 *2 *3 *4 *5 *5 *6)
+  (-12 (-5 *4 (-576)) (-5 *6 (-1 (-1293) (-1288 *5) (-1288 *5) (-390)))
+   (-5 *3 (-1288 (-390))) (-5 *5 (-390)) (-5 *2 (-1293))
+   (-5 *1 (-800))))
+ ((*1 *2 *3 *4 *5 *5 *6 *3 *3 *3 *3)
+  (-12 (-5 *4 (-576)) (-5 *6 (-1 (-1293) (-1288 *5) (-1288 *5) (-390)))
+   (-5 *3 (-1288 (-390))) (-5 *5 (-390)) (-5 *2 (-1293))
+   (-5 *1 (-800))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-656 (-2 (|:| |integrand| *3) (|:| |intvar| *3))))
+   (-5 *1 (-598 *3)) (-4 *3 (-374))))) 
 (((*1 *2 *1) (-12 (-5 *2 (-656 (-185 (-140)))) (-5 *1 (-141))))) 
 (((*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-96))))
  ((*1 *2 *1) (-12 (-5 *2 (-518)) (-5 *1 (-109))))
@@ -10602,15 +10606,18 @@
  ((*1 *2 *1) (-12 (-5 *2 (-1197)) (-5 *1 (-1096 *3)) (-14 *3 *2)))
  ((*1 *2 *1) (-12 (-5 *2 (-518)) (-5 *1 (-1136))))
  ((*1 *1 *1) (-5 *1 (-1197)))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-834))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-521 *3 *2)) (-4 *3 (-1121)) (-4 *2 (-861))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-1288 *1)) (-4 *1 (-378 *2)) (-4 *2 (-174))))
- ((*1 *2) (-12 (-4 *2 (-174)) (-5 *1 (-428 *3 *2)) (-4 *3 (-429 *2))))
- ((*1 *2) (-12 (-4 *1 (-429 *2)) (-4 *2 (-174))))) 
-(((*1 *2 *1 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-1290))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-940)) (-5 *2 (-923 (-576))) (-5 *1 (-936))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-576))) (-5 *2 (-923 (-576))) (-5 *1 (-936))))) 
+(((*1 *2 *2 *2)
+  (-12 (-4 *3 (-1070)) (-5 *1 (-1260 *3 *2)) (-4 *2 (-1264 *3))))) 
+(((*1 *2 *2 *2)
+  (-12 (-5 *2 (-656 *3)) (-4 *3 (-861)) (-5 *1 (-751 *3))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-1144 *3 *4 *2 *5)) (-4 *4 (-1070)) (-4 *5 (-243 *3 *4))
+   (-4 *2 (-243 *3 *4))))) 
+(((*1 *2 *2)
+  (-12 (-5 *2 (-1288 *1)) (-4 *1 (-353 *3 *4 *5)) (-4 *3 (-1242))
+   (-4 *4 (-1264 *3)) (-4 *5 (-1264 (-419 *4)))))) 
 (((*1 *2) (-12 (-5 *2 (-1293)) (-5 *1 (-62 *3)) (-14 *3 (-1197))))
  ((*1 *2) (-12 (-5 *2 (-1293)) (-5 *1 (-69 *3)) (-14 *3 (-1197))))
  ((*1 *2) (-12 (-5 *2 (-1293)) (-5 *1 (-72 *3)) (-14 *3 (-1197))))
@@ -10621,69 +10628,81 @@
  ((*1 *2 *3) (-12 (-5 *3 (-876)) (-5 *2 (-1293)) (-5 *1 (-1159))))
  ((*1 *2 *3)
   (-12 (-5 *3 (-656 (-876))) (-5 *2 (-1293)) (-5 *1 (-1159))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-568)) (-5 *2 (-112)) (-5 *1 (-285 *4 *3))
-   (-4 *3 (-13 (-442 *4) (-1023)))))) 
-(((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-479))))
- ((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-479))))
- ((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-946))))) 
-(((*1 *2 *2 *3)
-  (-12 (-5 *3 (-656 *2)) (-4 *2 (-1086 *4 *5 *6)) (-4 *4 (-568))
-   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *1 (-998 *4 *5 *6 *2))))) 
+(((*1 *2 *2 *3 *4)
+  (-12 (-5 *3 (-656 (-624 *6))) (-5 *4 (-1197)) (-5 *2 (-624 *6))
+   (-4 *6 (-442 *5)) (-4 *5 (-1121)) (-5 *1 (-585 *5 *6))))) 
 (((*1 *2 *1 *1)
-  (-12 (-4 *3 (-1121))
-   (-5 *2 (-2 (|:| |lm| *1) (|:| |mm| *1) (|:| |rm| *1)))
-   (-4 *1 (-397 *3))))) 
+  (-12 (-4 *1 (-1031 *3)) (-4 *3 (-1238)) (-4 *3 (-1121))
+   (-5 *2 (-112))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-997 *3 *4 *2 *5)) (-4 *3 (-1070)) (-4 *4 (-805))
+   (-4 *5 (-1086 *3 *4 *2)) (-4 *2 (-861))))
+ ((*1 *2 *1)
+  (-12 (-4 *1 (-1086 *3 *4 *2)) (-4 *3 (-1070)) (-4 *4 (-805))
+   (-4 *2 (-861))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-1178 (-1178 *4))) (-5 *2 (-1178 *4)) (-5 *1 (-1181 *4))
-   (-4 *4 (-1070))))) 
-(((*1 *2 *3 *3)
-  (-12 (-4 *4 (-13 (-374) (-148) (-1059 (-576)))) (-4 *5 (-1264 *4))
-   (-5 *2 (-2 (|:| |ans| (-419 *5)) (|:| |nosol| (-112))))
-   (-5 *1 (-1036 *4 *5)) (-5 *3 (-419 *5))))) 
-(((*1 *1 *2 *2) (-12 (-4 *1 (-566 *2)) (-4 *2 (-13 (-416) (-1223)))))) 
-(((*1 *2 *3 *4 *4 *4 *4 *5 *5)
-  (-12 (-5 *3 (-1 (-390) (-390))) (-5 *4 (-390))
+  (-12 (-5 *3 (-656 (-493 *4 *5))) (-14 *4 (-656 (-1197)))
+   (-4 *5 (-464))
    (-5 *2
-    (-2 (|:| -3104 *4) (|:| -3313 *4) (|:| |totalpts| (-576))
-     (|:| |success| (-112))))
-   (-5 *1 (-801)) (-5 *5 (-576))))) 
+    (-2 (|:| |gblist| (-656 (-253 *4 *5)))
+     (|:| |gvlist| (-656 (-576)))))
+   (-5 *1 (-643 *4 *5))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-659 *3)) (-4 *3 (-1121))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-576))
+   (-5 *1 (-461 *4 *5 *6 *3)) (-4 *3 (-968 *4 *5 *6))))) 
+(((*1 *2 *3 *4 *4 *5)
+  (-12 (-5 *4 (-624 *3)) (-5 *5 (-1 (-1193 *3) (-1193 *3)))
+   (-4 *3 (-13 (-27) (-442 *6))) (-4 *6 (-568)) (-5 *2 (-598 *3))
+   (-5 *1 (-563 *6 *3))))) 
+(((*1 *2) (-12 (-5 *2 (-1197)) (-5 *1 (-1200))))) 
 (((*1 *2) (-12 (-5 *2 (-1293)) (-5 *1 (-403))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-985 *3)) (-4 *3 (-1121)) (-5 *1 (-986 *3))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-783)) (-5 *2 (-1 (-1178 (-971 *4)) (-1178 (-971 *4))))
-   (-5 *1 (-1296 *4)) (-4 *4 (-374))))) 
-(((*1 *1 *2 *2 *2)
-  (-12 (-5 *1 (-229 *2)) (-4 *2 (-13 (-374) (-1223)))))
- ((*1 *1 *1 *2) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374))))
- ((*1 *1 *2) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374))))
- ((*1 *2 *1 *3 *4 *4)
-  (-12 (-5 *3 (-940)) (-5 *4 (-390)) (-5 *2 (-1293)) (-5 *1 (-1289))))) 
+  (-12 (-4 *3 (-1264 (-419 (-576))))
+   (-5 *2 (-2 (|:| |den| (-576)) (|:| |gcdnum| (-576))))
+   (-5 *1 (-932 *3 *4)) (-4 *4 (-1264 (-419 *3)))))
+ ((*1 *2 *3)
+  (-12 (-4 *4 (-1264 (-419 *2))) (-5 *2 (-576)) (-5 *1 (-932 *4 *3))
+   (-4 *3 (-1264 (-419 *4)))))) 
 (((*1 *2 *3 *4)
   (-12 (-5 *2 (-2 (|:| |part1| *3) (|:| |part2| *4)))
    (-5 *1 (-717 *3 *4)) (-4 *3 (-1238)) (-4 *4 (-1238))))) 
+(((*1 *2 *1 *3) (-12 (-4 *1 (-133)) (-5 *3 (-783)) (-5 *2 (-1293))))) 
 (((*1 *2 *3)
-  (-12
-   (-5 *3
-    (-2 (|:| |stiffness| (-390)) (|:| |stability| (-390))
-     (|:| |expense| (-390)) (|:| |accuracy| (-390))
-     (|:| |intermediateResults| (-390))))
-   (-5 *2 (-1056)) (-5 *1 (-315))))) 
-(((*1 *1 *2 *3)
-  (-12 (-5 *3 (-372 (-115))) (-4 *2 (-1070)) (-5 *1 (-726 *2 *4))
-   (-4 *4 (-660 *2))))
+  (-12 (-4 *4 (-928)) (-4 *5 (-805)) (-4 *6 (-861))
+   (-4 *7 (-968 *4 *5 *6)) (-5 *2 (-430 (-1193 *7)))
+   (-5 *1 (-925 *4 *5 *6 *7)) (-5 *3 (-1193 *7))))
+ ((*1 *2 *3)
+  (-12 (-4 *4 (-928)) (-4 *5 (-1264 *4)) (-5 *2 (-430 (-1193 *5)))
+   (-5 *1 (-926 *4 *5)) (-5 *3 (-1193 *5))))) 
+(((*1 *2 *1) (|partial| -12 (-5 *2 (-624 *1)) (-4 *1 (-312))))) 
+(((*1 *1 *2 *3) (-12 (-5 *2 (-1193 *1)) (-5 *3 (-1197)) (-4 *1 (-27))))
+ ((*1 *1 *2) (-12 (-5 *2 (-1193 *1)) (-4 *1 (-27))))
+ ((*1 *1 *2) (-12 (-5 *2 (-971 *1)) (-4 *1 (-27))))
+ ((*1 *1 *1 *2) (-12 (-5 *2 (-1197)) (-4 *1 (-29 *3)) (-4 *3 (-568))))
+ ((*1 *1 *1) (-12 (-4 *1 (-29 *2)) (-4 *2 (-568))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-1193 *2)) (-5 *4 (-1197)) (-4 *2 (-442 *5))
+   (-5 *1 (-32 *5 *2)) (-4 *5 (-568))))
  ((*1 *1 *2 *3)
-  (-12 (-5 *3 (-372 (-115))) (-5 *1 (-848 *2)) (-4 *2 (-1070))))) 
-(((*1 *1 *2)
-  (-12 (-5 *2 (-656 (-2 (|:| |gen| *3) (|:| -4103 *4))))
-   (-4 *3 (-1121)) (-4 *4 (-23)) (-14 *5 *4) (-5 *1 (-661 *3 *4 *5))))) 
-(((*1 *1 *2)
-  (-12 (-5 *2 (-656 (-656 *3))) (-4 *3 (-1121)) (-5 *1 (-924 *3))))) 
-(((*1 *1 *1 *1) (-4 *1 (-485))) ((*1 *1 *1 *1) (-4 *1 (-773)))) 
+  (|partial| -12 (-5 *2 (-1193 *1)) (-5 *3 (-940)) (-4 *1 (-1033))))
+ ((*1 *1 *2 *3 *4)
+  (|partial| -12 (-5 *2 (-1193 *1)) (-5 *3 (-940)) (-5 *4 (-876))
+      (-4 *1 (-1033))))
+ ((*1 *1 *2 *3)
+  (|partial| -12 (-5 *3 (-940)) (-4 *4 (-13 (-860) (-374)))
+      (-4 *1 (-1089 *4 *2)) (-4 *2 (-1264 *4))))) 
+(((*1 *2 *3 *3 *4)
+  (-12 (-5 *4 (-783)) (-4 *5 (-568))
+   (-5 *2 (-2 (|:| |coef2| *3) (|:| |subResultant| *3)))
+   (-5 *1 (-990 *5 *3)) (-4 *3 (-1264 *5))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-686 *3)) (-4 *3 (-1238)) (-5 *2 (-112))))) 
 (((*1 *2 *3)
   (|partial| -12
       (-5 *3
        (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227)))
-        (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
+        (|:| -2951 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
         (|:| |relerr| (-227))))
       (-5 *2
        (-2
@@ -10701,7 +10720,7 @@
              (-3 (|:| |str| (-1178 (-227)))
               (|:| |notEvaluated|
                    "Internal singularities not yet evaluated")))
-        (|:| -3343
+        (|:| -2951
              (-3 (|:| |finite| "The range is finite")
               (|:| |lowerInfinite| "The bottom of range is infinite")
               (|:| |upperInfinite| "The top of range is infinite")
@@ -10709,143 +10728,94 @@
                    "Both top and bottom points are infinite")
               (|:| |notEvaluated| "Range not yet evaluated")))))
       (-5 *1 (-571))))) 
-(((*1 *2 *3)
-  (-12 (-14 *4 (-656 (-1197))) (-14 *5 (-783))
-   (-5 *2
-    (-656
-     (-516 (-419 (-576)) (-245 *5 (-783)) (-878 *4)
-      (-253 *4 (-419 (-576))))))
-   (-5 *1 (-517 *4 *5))
-   (-5 *3
-    (-516 (-419 (-576)) (-245 *5 (-783)) (-878 *4)
-     (-253 *4 (-419 (-576)))))))) 
+(((*1 *2 *3 *4 *5)
+  (-12 (-5 *5 (-1197))
+   (-4 *6 (-13 (-317) (-1059 (-576)) (-651 (-576)) (-148)))
+   (-4 *4 (-13 (-29 *6) (-1223) (-978)))
+   (-5 *2 (-2 (|:| |particular| *4) (|:| -1593 (-656 *4))))
+   (-5 *1 (-813 *6 *4 *3)) (-4 *3 (-668 *4))))) 
 (((*1 *2 *3) (-12 (-5 *3 (-400)) (-5 *2 (-1293)) (-5 *1 (-403))))
  ((*1 *2 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-403))))) 
+(((*1 *2 *2)
+  (|partial| -12 (-5 *2 (-1193 *3)) (-4 *3 (-360)) (-5 *1 (-368 *3))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-419 (-971 *3))) (-5 *1 (-465 *3 *4 *5 *6))
+   (-4 *3 (-568)) (-4 *3 (-174)) (-14 *4 (-940))
+   (-14 *5 (-656 (-1197))) (-14 *6 (-1288 (-701 *3)))))) 
+(((*1 *2 *3 *4 *4)
+  (-12 (-5 *3 (-1 (-171 (-227)) (-171 (-227)))) (-5 *4 (-1115 (-227)))
+   (-5 *2 (-1290)) (-5 *1 (-264))))) 
+(((*1 *1 *1 *2 *3 *1)
+  (-12 (-5 *2 (-783)) (-5 *1 (-794 *3)) (-4 *3 (-1070))))
+ ((*1 *1 *1 *2 *3 *1)
+  (-12 (-5 *1 (-982 *3 *2)) (-4 *2 (-132)) (-4 *3 (-568))
+   (-4 *3 (-1070)) (-4 *2 (-804))))
+ ((*1 *1 *1 *2 *3 *1)
+  (-12 (-5 *2 (-783)) (-5 *1 (-1193 *3)) (-4 *3 (-1070))))
+ ((*1 *1 *1 *2 *3 *1)
+  (-12 (-5 *2 (-992)) (-4 *2 (-132)) (-5 *1 (-1199 *3)) (-4 *3 (-568))
+   (-4 *3 (-1070))))
+ ((*1 *1 *1 *2 *3 *1)
+  (-12 (-5 *2 (-783)) (-5 *1 (-1261 *4 *3)) (-14 *4 (-1197))
+   (-4 *3 (-1070))))) 
+(((*1 *1) (-5 *1 (-1200)))) 
+(((*1 *2 *3 *2)
+  (-12 (-5 *3 (-1 (-112) *4 *4)) (-4 *4 (-1238)) (-5 *1 (-386 *4 *2))
+   (-4 *2 (-13 (-384 *4) (-10 -7 (-6 -4466))))))) 
 (((*1 *2 *3)
-  (|partial| -12
-      (-5 *3
-       (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227)))
-        (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
-        (|:| |relerr| (-227))))
-      (-5 *2 (-2 (|:| -1757 (-115)) (|:| |w| (-227)))) (-5 *1 (-206))))) 
-(((*1 *2 *3 *4 *4 *4 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
-   (-5 *1 (-763))))) 
-(((*1 *2 *3 *4 *3 *5 *5 *5 *5 *5)
-  (|partial| -12 (-5 *5 (-112)) (-4 *6 (-464)) (-4 *7 (-805))
-      (-4 *8 (-861)) (-4 *9 (-1086 *6 *7 *8))
-      (-5 *2
-       (-2 (|:| -4026 (-656 *9)) (|:| -3987 *4) (|:| |ineq| (-656 *9))))
-      (-5 *1 (-1009 *6 *7 *8 *9 *4)) (-5 *3 (-656 *9))
-      (-4 *4 (-1092 *6 *7 *8 *9))))
- ((*1 *2 *3 *4 *3 *5 *5 *5 *5 *5)
-  (|partial| -12 (-5 *5 (-112)) (-4 *6 (-464)) (-4 *7 (-805))
-      (-4 *8 (-861)) (-4 *9 (-1086 *6 *7 *8))
-      (-5 *2
-       (-2 (|:| -4026 (-656 *9)) (|:| -3987 *4) (|:| |ineq| (-656 *9))))
-      (-5 *1 (-1128 *6 *7 *8 *9 *4)) (-5 *3 (-656 *9))
-      (-4 *4 (-1092 *6 *7 *8 *9))))) 
-(((*1 *2 *2 *3)
-  (-12 (-4 *4 (-805))
-   (-4 *3 (-13 (-861) (-10 -8 (-15 -4171 ((-1197) $))))) (-4 *5 (-568))
-   (-5 *1 (-744 *4 *3 *5 *2)) (-4 *2 (-968 (-419 (-971 *5)) *4 *3))))
- ((*1 *2 *2 *3)
-  (-12 (-4 *4 (-1070)) (-4 *5 (-805))
-   (-4 *3
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 (((*1 *2 *3)
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 (((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-254))))) 
 (((*1 *1 *2)
-  (-12 (-5 *2 (-656 (-2 (|:| -4300 (-1197)) (|:| -4438 (-449)))))
+  (-12 (-5 *2 (-656 (-2 (|:| -4301 (-1197)) (|:| -4440 (-449)))))
    (-5 *1 (-1201))))) 
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-   (-14 *5 (-656 (-1197))) (-4 *6 (-464)) (-5 *2 (-1288 *6))
-   (-5 *1 (-643 *5 *6))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-656 (-2 (|:| |gen| *3) (|:| -4104 *4))))
+   (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1121)) (-4 *4 (-23)) (-14 *5 *4)))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *3 (-656 *2)) (-4 *2 (-557)) (-5 *1 (-160 *2))))) 
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+  (-12 (-5 *2 (-783)) (-5 *1 (-1185 *3 *4)) (-14 *3 (-940))
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+  (-12 (-5 *2 (-703 (-887 (-985 *3) (-985 *3)))) (-5 *1 (-985 *3))
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 (((*1 *2 *3 *4)
   (|partial| -12 (-5 *3 (-656 (-270))) (-5 *4 (-1197))
       (-5 *1 (-269 *2)) (-4 *2 (-1238))))
@@ -10853,109 +10823,99 @@
   (|partial| -12 (-5 *3 (-656 (-270))) (-5 *4 (-1197)) (-5 *2 (-52))
       (-5 *1 (-270))))) 
 (((*1 *2 *1) (-12 (-5 *2 (-656 (-109))) (-5 *1 (-177))))) 
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-   (-5 *2 (-656 (-783))) (-5 *1 (-754 *6 *7 *8 *9)) (-5 *5 (-783))))) 
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+(((*1 *2 *1) (-12 (-5 *1 (-176 *2)) (-4 *2 (-317))))
+ ((*1 *2 *1) (-12 (-5 *1 (-933 *2)) (-4 *2 (-317))))
+ ((*1 *2 *1) (-12 (-4 *1 (-1013 *2)) (-4 *2 (-568)) (-4 *2 (-317))))
+ ((*1 *2 *1) (-12 (-4 *1 (-1081)) (-5 *2 (-576))))) 
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+  (-12 (-5 *3 (-656 *2)) (-4 *2 (-442 *4)) (-5 *1 (-159 *4 *2))
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+   (-4 *8 (-968 *5 *6 *7)) (-5 *2 (-430 (-1193 *8)))
+   (-5 *1 (-925 *5 *6 *7 *8)) (-5 *4 (-1193 *8))))
+ ((*1 *2 *3)
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 (((*1 *2)
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 (((*1 *2 *1) (-12 (-5 *2 (-140)) (-5 *1 (-141))))
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 (((*1 *2 *3)
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+(((*1 *1 *2) (-12 (-5 *2 (-1179)) (-5 *1 (-591))))) 
 (((*1 *2 *2)
   (-12
    (-5 *2
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      (-253 *3 (-419 (-576)))))
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+  (-12 (-5 *3 (-1179)) (-5 *4 (-171 (-227))) (-5 *5 (-576))
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+(((*1 *2)
+  (-12 (-4 *1 (-360))
+   (-5 *2 (-3 "prime" "polynomial" "normal" "cyclic"))))) 
 (((*1 *2 *3)
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-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-907 *3)) (-4 *3 (-1121))))
- ((*1 *2 *1)
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-  (|partial| -12 (-4 *3 (-374)) (-4 *4 (-384 *3)) (-4 *5 (-384 *3))
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- ((*1 *2 *3)
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-      (-5 *1 (-534 *4 *5 *6 *3 *7 *8 *9 *2)) (-4 *3 (-699 *4 *5 *6))
-      (-4 *8 (-384 *7)) (-4 *9 (-384 *7))))
- ((*1 *1 *1)
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-      (-4 *3 (-384 *2)) (-4 *4 (-384 *2)) (-4 *2 (-374))))
- ((*1 *2 *2)
-  (|partial| -12 (-4 *3 (-374)) (-4 *3 (-174)) (-4 *4 (-384 *3))
-      (-4 *5 (-384 *3)) (-5 *1 (-700 *3 *4 *5 *2))
-      (-4 *2 (-699 *3 *4 *5))))
- ((*1 *1 *1)
-  (|partial| -12 (-5 *1 (-701 *2)) (-4 *2 (-374)) (-4 *2 (-1070))))
- ((*1 *1 *1)
-  (|partial| -12 (-4 *1 (-1144 *2 *3 *4 *5)) (-4 *3 (-1070))
-      (-4 *4 (-243 *2 *3)) (-4 *5 (-243 *2 *3)) (-4 *3 (-374))))
- ((*1 *2 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-861)) (-5 *1 (-1208 *3))))) 
+  (-12 (-5 *3 (-656 (-576))) (-5 *2 (-923 (-576))) (-5 *1 (-936))))
+ ((*1 *2) (-12 (-5 *2 (-923 (-576))) (-5 *1 (-936))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-390)) (-5 *2 (-1179)) (-5 *1 (-315))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-945))))) 
 (((*1 *2 *3) (-12 (-5 *2 (-390)) (-5 *1 (-797 *3)) (-4 *3 (-626 *2))))
  ((*1 *2 *3 *4)
   (-12 (-5 *4 (-940)) (-5 *2 (-390)) (-5 *1 (-797 *3))
@@ -10978,360 +10938,369 @@
  ((*1 *2 *3 *4)
   (-12 (-5 *3 (-326 *5)) (-5 *4 (-940)) (-4 *5 (-568)) (-4 *5 (-861))
    (-4 *5 (-626 *2)) (-5 *2 (-390)) (-5 *1 (-797 *5))))) 
-(((*1 *2 *2)
-  (-12
-   (-5 *2
-    (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| *4)
-     (|:| |xpnt| (-576))))
-   (-4 *4 (-13 (-1264 *3) (-568) (-10 -8 (-15 -3498 ($ $ $)))))
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+     (|:| |lowerSingular|
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+     (|:| |upperSingular|
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+     (|:| |bothSingular| "There are singularities at both end points")
+     (|:| |notEvaluated| "End point continuity not yet evaluated")))
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@@ -11346,144 +11315,130 @@
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+     (|:| -4027
+          (-2 (|:| |b| *3) (|:| |c| *3) (|:| |m| *4) (|:| |alpha| *3)
+           (|:| |beta| *3)))))
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 (((*1 *2)
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 (((*1 *1 *1 *2) (-12 (-5 *2 (-656 (-876))) (-5 *1 (-876))))
  ((*1 *2 *1)
   (-12
    (-5 *2
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-     (|:| |presup| (-656 (-876))) (|:| -1408 (-656 (-876)))
+    (-2 (|:| -2229 (-656 (-876))) (|:| -2324 (-656 (-876)))
+     (|:| |presup| (-656 (-876))) (|:| -3509 (-656 (-876)))
      (|:| |args| (-656 (-876)))))
    (-5 *1 (-1197))))) 
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+ ((*1 *1 *1) (-4 *1 (-1081)))) 
+(((*1 *2 *2 *2 *2 *3 *3 *4)
+  (|partial| -12 (-5 *3 (-624 *2))
+      (-5 *4 (-1 (-3 *2 "failed") *2 *2 (-1197)))
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+(((*1 *2 *2 *2) (-12 (-5 *2 (-1199 (-419 (-576)))) (-5 *1 (-192))))) 
 (((*1 *2 *3)
-  (-12 (-4 *4 (-805))
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-(((*1 *1) (-5 *1 (-158)))
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-(((*1 *2) (-12 (-5 *2 (-656 (-940))) (-5 *1 (-1291))))
- ((*1 *2 *2) (-12 (-5 *2 (-656 (-940))) (-5 *1 (-1291))))) 
+  (-12 (-5 *3 (-656 (-2 (|:| |deg| (-783)) (|:| -2812 *5))))
+   (-4 *5 (-1264 *4)) (-4 *4 (-360)) (-5 *2 (-656 *5))
+   (-5 *1 (-218 *4 *5))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 (-2 (|:| -1828 *5) (|:| -3634 (-576)))))
+   (-5 *4 (-576)) (-4 *5 (-1264 *4)) (-5 *2 (-656 *5))
+   (-5 *1 (-708 *5))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 *8)) (-5 *4 (-656 *7)) (-4 *7 (-861))
+   (-4 *8 (-968 *5 *6 *7)) (-4 *5 (-568)) (-4 *6 (-805))
+   (-5 *2
+    (-2 (|:| |particular| (-3 (-1288 (-419 *8)) "failed"))
+     (|:| -1593 (-656 (-1288 (-419 *8))))))
+   (-5 *1 (-681 *5 *6 *7 *8))))) 
 (((*1 *2 *3)
   (-12 (-4 *4 (-1070))
    (-4 *2 (-13 (-416) (-1059 *4) (-374) (-1223) (-294)))
@@ -11498,90 +11453,85 @@
  ((*1 *2 *1)
   (-12 (-4 *1 (-1286 *2)) (-4 *2 (-1238)) (-4 *2 (-1023))
    (-4 *2 (-1070))))) 
+(((*1 *2 *3 *4 *5 *6)
+  (-12 (-5 *5 (-1 (-598 *3) *3 (-1197)))
+   (-5 *6
+    (-1 (-3 (-2 (|:| |special| *3) (|:| |integrand| *3)) "failed") *3
+     (-1197)))
+   (-4 *3 (-294)) (-4 *3 (-641)) (-4 *3 (-1059 *4)) (-4 *3 (-442 *7))
+   (-5 *4 (-1197)) (-4 *7 (-626 (-907 (-576)))) (-4 *7 (-464))
+   (-4 *7 (-901 (-576))) (-4 *7 (-1121)) (-5 *2 (-598 *3))
+   (-5 *1 (-585 *7 *3))))) 
 (((*1 *2 *3)
-  (-12
-   (-5 *3
-    (-2 (|:| -1973 (-390)) (|:| -2627 (-1179))
-     (|:| |explanations| (-656 (-1179)))))
-   (-5 *2 (-1056)) (-5 *1 (-315))))
+  (-12 (-4 *4 (-568)) (-4 *5 (-1013 *4))
+   (-5 *2 (-2 (|:| |num| *3) (|:| |den| *4))) (-5 *1 (-143 *4 *5 *3))
+   (-4 *3 (-384 *5))))
  ((*1 *2 *3)
-  (-12
-   (-5 *3
-    (-2 (|:| -1973 (-390)) (|:| -2627 (-1179))
-     (|:| |explanations| (-656 (-1179))) (|:| |extra| (-1056))))
-   (-5 *2 (-1056)) (-5 *1 (-315))))) 
-(((*1 *1) (-5 *1 (-145)))
+  (-12 (-4 *4 (-568)) (-4 *5 (-1013 *4))
+   (-5 *2 (-2 (|:| |num| *6) (|:| |den| *4)))
+   (-5 *1 (-515 *4 *5 *6 *3)) (-4 *6 (-384 *4)) (-4 *3 (-384 *5))))
  ((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-270))) (-5 *2 (-1154 (-227))) (-5 *1 (-268))))
- ((*1 *1 *2) (-12 (-5 *2 (-1154 (-227))) (-5 *1 (-270))))) 
-(((*1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-479))))
- ((*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-479))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-1155 *3)) (-4 *3 (-1070)) (-5 *2 (-112))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-576)) (-5 *2 (-1293)) (-5 *1 (-1027))))) 
-(((*1 *2 *3)
-  (-12
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-     (-253 *4 (-419 (-576)))))
-   (-14 *4 (-656 (-1197))) (-14 *5 (-783)) (-5 *2 (-112))
-   (-5 *1 (-517 *4 *5))))) 
-(((*1 *1 *1)
-  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
-(((*1 *2) (-12 (-5 *2 (-390)) (-5 *1 (-1061))))) 
-(((*1 *1 *2 *3)
-  (-12 (-5 *3 (-656 (-1197))) (-5 *2 (-1197)) (-5 *1 (-340))))) 
-(((*1 *1 *1 *1) (-4 *1 (-773)))) 
-(((*1 *2 *3)
-  (-12
-   (-5 *3
-    (-2
-     (|:| |endPointContinuity|
-          (-3 (|:| |continuous| "Continuous at the end points")
-           (|:| |lowerSingular|
-                "There is a singularity at the lower end point")
-           (|:| |upperSingular|
-                "There is a singularity at the upper end point")
-           (|:| |bothSingular|
-                "There are singularities at both end points")
-           (|:| |notEvaluated|
-                "End point continuity not yet evaluated")))
-     (|:| |singularitiesStream|
-          (-3 (|:| |str| (-1178 (-227)))
-           (|:| |notEvaluated|
-                "Internal singularities not yet evaluated")))
-     (|:| -3343
-          (-3 (|:| |finite| "The range is finite")
-           (|:| |lowerInfinite| "The bottom of range is infinite")
-           (|:| |upperInfinite| "The top of range is infinite")
-           (|:| |bothInfinite|
-                "Both top and bottom points are infinite")
-           (|:| |notEvaluated| "Range not yet evaluated")))))
-   (-5 *2 (-1056)) (-5 *1 (-315))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-289))))) 
-(((*1 *2 *1)
-  (-12 (-4 *3 (-238)) (-4 *3 (-1070)) (-4 *4 (-861)) (-4 *5 (-275 *4))
-   (-4 *6 (-805)) (-5 *2 (-1 *1 (-783))) (-4 *1 (-260 *3 *4 *5 *6))))
+  (-12 (-5 *3 (-701 *5)) (-4 *5 (-1013 *4)) (-4 *4 (-568))
+   (-5 *2 (-2 (|:| |num| (-701 *4)) (|:| |den| *4)))
+   (-5 *1 (-705 *4 *5))))
+ ((*1 *2 *3 *4)
+  (-12 (-4 *5 (-13 (-374) (-148) (-1059 (-419 (-576)))))
+   (-4 *6 (-1264 *5))
+   (-5 *2 (-2 (|:| -4027 *7) (|:| |rh| (-656 (-419 *6)))))
+   (-5 *1 (-819 *5 *6 *7 *3)) (-5 *4 (-656 (-419 *6)))
+   (-4 *7 (-668 *6)) (-4 *3 (-668 (-419 *6)))))
  ((*1 *2 *3)
-  (-12 (-4 *4 (-1070)) (-4 *3 (-861)) (-4 *5 (-275 *3)) (-4 *6 (-805))
-   (-5 *2 (-1 *1 (-783))) (-4 *1 (-260 *4 *3 *5 *6))))
- ((*1 *1 *2 *3) (-12 (-5 *3 (-783)) (-4 *1 (-275 *2)) (-4 *2 (-861))))) 
-(((*1 *2 *1 *1) (-12 (-4 *1 (-317)) (-5 *2 (-112))))) 
-(((*1 *2 *3 *1)
-  (-12 (-4 *1 (-622 *3 *4)) (-4 *3 (-1121)) (-4 *4 (-1121))
-   (-5 *2 (-112))))) 
-(((*1 *2 *2)
-  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
-   (-4 *2 (-13 (-442 *3) (-1023)))))) 
-(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *5)
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+  (-12 (-5 *2 (-112)) (-5 *1 (-1215 *3 *4)) (-4 *3 (-1121))
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 (((*1 *2 *3)
   (-12 (-5 *3 (-656 (-548))) (-5 *2 (-1197)) (-5 *1 (-548))))) 
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-  (-12 (-5 *2 (-112)) (-5 *1 (-39 *3)) (-4 *3 (-1264 (-48)))))) 
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+ ((*1 *1 *2) (-12 (-5 *2 (-656 (-1115 (-390)))) (-5 *1 (-270))))
+ ((*1 *2 *1 *2) (-12 (-5 *2 (-656 (-1115 (-390)))) (-5 *1 (-480))))
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 (((*1 *1 *2 *2 *3)
   (-12 (-5 *3 (-656 (-1197))) (-4 *4 (-1121))
    (-4 *5 (-13 (-1070) (-901 *4) (-626 (-907 *4))))
@@ -11591,100 +11541,95 @@
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 (((*1 *2 *3)
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 (((*1 *2 *2 *3)
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+ ((*1 *2 *3)
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+   (-5 *2 (-656 (-1067 *4 *5))) (-5 *1 (-1315 *4 *5 *6))
+   (-14 *5 (-656 (-1197))) (-14 *6 (-656 (-1197)))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-940)) (-5 *1 (-1291))))
+ ((*1 *2) (-12 (-5 *2 (-940)) (-5 *1 (-1291))))) 
+(((*1 *2 *3 *4 *5 *5)
+  (-12 (-5 *5 (-783)) (-4 *6 (-1121)) (-4 *7 (-917 *6))
+   (-5 *2 (-701 *7)) (-5 *1 (-704 *6 *7 *3 *4)) (-4 *3 (-384 *7))
+   (-4 *4 (-13 (-384 *6) (-10 -7 (-6 -4465))))))) 
+(((*1 *1 *2)
+  (-12 (-5 *2 (-419 *4)) (-4 *4 (-1264 *3)) (-4 *3 (-13 (-374) (-148)))
+   (-5 *1 (-411 *3 *4))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *3 (-783)) (-4 *4 (-374)) (-5 *1 (-913 *2 *4))
+   (-4 *2 (-1264 *4))))) 
 (((*1 *2 *2 *3 *2) (-12 (-5 *2 (-1179)) (-5 *3 (-576)) (-5 *1 (-246))))
  ((*1 *2 *2 *3 *4)
   (-12 (-5 *2 (-656 (-1179))) (-5 *3 (-576)) (-5 *4 (-1179))
@@ -11693,63 +11638,83 @@
  ((*1 *1 *1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-876))))
  ((*1 *2 *1)
   (-12 (-4 *1 (-1266 *2 *3)) (-4 *3 (-804)) (-4 *2 (-1070))))) 
-(((*1 *2 *3)
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-   (-4 *7 (-1086 *4 *5 *6))
-   (-5 *2 (-656 (-2 (|:| -1957 *1) (|:| -3256 (-656 *7)))))
-   (-5 *3 (-656 *7)) (-4 *1 (-1231 *4 *5 *6 *7))))) 
-(((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-711))))
- ((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-711))))) 
-(((*1 *2 *2 *3)
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- ((*1 *2 *2 *3)
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- ((*1 *2 *2 *3)
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-   (-5 *1 (-551 *3 *2 *4 *5)) (-4 *2 (-1264 *3))))) 
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- ((*1 *2 *3)
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+(((*1 *2 *3) (-12 (-5 *2 (-430 *3)) (-5 *1 (-570 *3)) (-4 *3 (-557))))) 
 (((*1 *2 *3 *4)
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+ ((*1 *2 *1)
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+ ((*1 *1 *1) (-4 *1 (-1081)))) 
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+(((*1 *2 *2)
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 (((*1 *1 *2) (-12 (-5 *2 (-656 (-1179))) (-5 *1 (-340))))
  ((*1 *1 *2) (-12 (-5 *2 (-1179)) (-5 *1 (-340))))) 
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-(((*1 *2 *3)
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+(((*1 *2 *2 *3)
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 (((*1 *2 *1)
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+ ((*1 *2 *3 *4 *5 *3)
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+ ((*1 *2 *3 *4 *5 *6)
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+ ((*1 *2 *3 *4 *5 *5)
+  (-12 (-5 *4 (-115)) (-5 *5 (-304 *3)) (-4 *3 (-442 *6))
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+ ((*1 *2 *3 *4 *5 *6)
+  (-12 (-5 *4 (-115)) (-5 *5 (-304 *3)) (-5 *6 (-656 *3))
+   (-4 *3 (-442 *7)) (-4 *7 (-13 (-568) (-626 (-548)))) (-5 *2 (-52))
+   (-5 *1 (-327 *7 *3))))) 
+(((*1 *2) (-12 (-4 *3 (-174)) (-5 *2 (-1288 *1)) (-4 *1 (-378 *3))))) 
+(((*1 *1 *2 *3 *4)
+  (-12 (-5 *2 (-1 (-1147 *4 *3 *5))) (-4 *4 (-38 (-419 (-576))))
+   (-4 *4 (-1070)) (-4 *3 (-861)) (-5 *1 (-1147 *4 *3 *5))
+   (-4 *5 (-968 *4 (-543 *3) *3))))
+ ((*1 *1 *2 *3 *4)
+  (-12 (-5 *2 (-1 (-1232 *4))) (-5 *3 (-1197)) (-5 *1 (-1232 *4))
+   (-4 *4 (-38 (-419 (-576)))) (-4 *4 (-1070))))) 
 (((*1 *2 *1 *3 *3)
   (-12 (-5 *3 (-783)) (-4 *1 (-752 *4 *5)) (-4 *4 (-1070))
    (-4 *5 (-861)) (-5 *2 (-971 *4))))
@@ -11762,176 +11727,184 @@
  ((*1 *2 *1 *3)
   (-12 (-5 *3 (-783)) (-4 *1 (-1279 *4)) (-4 *4 (-1070))
    (-5 *2 (-971 *4))))) 
-(((*1 *2 *3 *4)
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-   (-5 *2 (-656 (-656 (-304 (-419 (-971 *5)))))) (-5 *1 (-782 *5))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-971 *4))) (-4 *4 (-568))
-   (-5 *2 (-656 (-656 (-304 (-419 (-971 *4)))))) (-5 *1 (-782 *4))))
- ((*1 *2 *3 *4 *5)
-  (-12 (-5 *3 (-701 *7))
-   (-5 *5
-    (-1 (-2 (|:| |particular| (-3 *6 "failed")) (|:| -3454 (-656 *6)))
-     *7 *6))
-   (-4 *6 (-374)) (-4 *7 (-668 *6))
-   (-5 *2
-    (-2 (|:| |particular| (-3 (-1288 *6) "failed"))
-     (|:| -3454 (-656 (-1288 *6)))))
-   (-5 *1 (-825 *6 *7)) (-5 *4 (-1288 *6))))) 
+(((*1 *2 *3 *3)
+  (-12 (-4 *4 (-464)) (-4 *4 (-568))
+   (-5 *2 (-2 (|:| |coef2| *3) (|:| -2006 *4))) (-5 *1 (-990 *4 *3))
+   (-4 *3 (-1264 *4))))) 
 (((*1 *2 *2)
-  (-12 (-5 *2 (-656 *6)) (-4 *6 (-1086 *3 *4 *5)) (-4 *3 (-568))
-   (-4 *4 (-805)) (-4 *5 (-861)) (-5 *1 (-998 *3 *4 *5 *6))))) 
-(((*1 *1) (-5 *1 (-449)))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *4 (-1197))
-   (-4 *5 (-13 (-317) (-148) (-1059 (-576)) (-651 (-576))))
-   (-5 *2 (-598 *3)) (-5 *1 (-438 *5 *3))
-   (-4 *3 (-13 (-1223) (-29 *5)))))) 
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-(((*1 *2 *2 *3) (-12 (-5 *2 (-1156)) (-5 *3 (-301)) (-5 *1 (-169))))) 
-(((*1 *2 *2 *2) (-12 (-5 *1 (-160 *2)) (-4 *2 (-557))))) 
+  (-12 (-5 *2 (-1178 *3)) (-4 *3 (-1070)) (-5 *1 (-1181 *3))))
+ ((*1 *1 *1)
+  (-12 (-5 *1 (-1280 *2 *3 *4)) (-4 *2 (-1070)) (-14 *3 (-1197))
+   (-14 *4 *2)))) 
 (((*1 *2 *1)
-  (-12 (-4 *1 (-1231 *3 *4 *5 *6)) (-4 *3 (-568)) (-4 *4 (-805))
-   (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5)) (-5 *2 (-112))))
- ((*1 *2 *3 *1)
-  (-12 (-4 *1 (-1231 *4 *5 *6 *3)) (-4 *4 (-568)) (-4 *5 (-805))
-   (-4 *6 (-861)) (-4 *3 (-1086 *4 *5 *6)) (-5 *2 (-112))))) 
+  (-12 (-5 *2 (-1288 (-783))) (-5 *1 (-687 *3)) (-4 *3 (-1121))))) 
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+  (-12 (-5 *2 (-656 *9)) (-5 *3 (-1 (-112) *9))
+   (-5 *4 (-1 (-112) *9 *9)) (-5 *5 (-1 *9 *9 *9))
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+(((*1 *2)
+  (-12 (-5 *2 (-419 (-971 *3))) (-5 *1 (-465 *3 *4 *5 *6))
+   (-4 *3 (-568)) (-4 *3 (-174)) (-14 *4 (-940))
+   (-14 *5 (-656 (-1197))) (-14 *6 (-1288 (-701 *3)))))) 
 (((*1 *1 *1 *2)
-  (-12 (-5 *2 (-419 (-576))) (-5 *1 (-607 *3)) (-4 *3 (-38 *2))
-   (-4 *3 (-1070))))) 
+  (|partial| -12 (-5 *2 (-940)) (-5 *1 (-1122 *3 *4)) (-14 *3 *2)
+      (-14 *4 *2)))) 
+(((*1 *2 *2 *3) (-12 (-5 *2 (-1156)) (-5 *3 (-301)) (-5 *1 (-169))))) 
+(((*1 *2 *3 *4)
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+   (-5 *2 (-656 (-2 (|:| |val| (-112)) (|:| -3988 *4))))
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+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
+(((*1 *1 *1 *2 *3)
+  (-12 (-5 *2 (-1197)) (-5 *3 (-390)) (-5 *1 (-1084))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-503)) (-5 *4 (-973)) (-5 *2 (-703 (-545)))
+   (-5 *1 (-545))))
+ ((*1 *2 *3 *4)
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+(((*1 *2 *1)
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+  (|partial| -12 (-5 *5 (-656 *4)) (-4 *4 (-374)) (-5 *2 (-1288 *4))
+      (-5 *1 (-826 *4 *3)) (-4 *3 (-668 *4))))) 
 (((*1 *2 *3)
-  (-12
-   (-5 *3
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-     (|:| |fn| (-1288 (-326 (-227)))) (|:| |yinit| (-656 (-227)))
-     (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227)))
-     (|:| |abserr| (-227)) (|:| |relerr| (-227))))
+  (-12 (-5 *3 (-656 *2)) (-4 *2 (-1264 *4)) (-5 *1 (-551 *4 *2 *5 *6))
+   (-4 *4 (-317)) (-14 *5 *4) (-14 *6 (-1 *4 *4 (-783)))))) 
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+  (-12 (-5 *2 (-656 (-656 (-962 (-227))))) (-5 *3 (-656 (-888)))
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+ ((*1 *1 *2 *3 *3 *4)
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+  (-12 (-4 *4 (-13 (-568) (-1059 (-576)))) (-4 *5 (-442 *4))
+   (-5 *2
+    (-3 (|:| |overq| (-1193 (-419 (-576))))
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+(((*1 *2 *3)
+  (-12 (-5 *3 (-701 (-326 (-227))))
    (-5 *2
     (-2 (|:| |stiffnessFactor| (-390)) (|:| |stabilityFactor| (-390))))
    (-5 *1 (-207))))) 
-(((*1 *2 *1)
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-(((*1 *2 *3 *3 *3)
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-(((*1 *1 *2 *3)
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-   (-4 *2 (-13 (-861) (-21)))))) 
-(((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-711))))
- ((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-711))))) 
-(((*1 *2 *3 *1)
-  (|partial| -12 (-5 *3 (-1 (-112) *2)) (-4 *1 (-152 *2))
-      (-4 *2 (-1238))))) 
-(((*1 *1 *1 *2)
-  (-12 (-5 *2 (-783)) (-4 *1 (-1264 *3)) (-4 *3 (-1070))))) 
 (((*1 *2 *3)
-  (-12
-   (-5 *3
-    (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227)))
-     (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
-     (|:| |relerr| (-227))))
-   (-5 *2
-    (-3 (|:| |finite| "The range is finite")
-     (|:| |lowerInfinite| "The bottom of range is infinite")
-     (|:| |upperInfinite| "The top of range is infinite")
-     (|:| |bothInfinite| "Both top and bottom points are infinite")
-     (|:| |notEvaluated| "Range not yet evaluated")))
-   (-5 *1 (-194))))) 
-(((*1 *2) (-12 (-5 *2 (-390)) (-5 *1 (-1061))))) 
-(((*1 *2 *3 *3 *3 *3 *4 *5)
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-(((*1 *2 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-876))))) 
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+(((*1 *2 *1) (-12 (-4 *1 (-539)) (-5 *2 (-703 (-1244)))))) 
 (((*1 *2 *3)
   (-12 (-4 *4 (-13 (-374) (-10 -8 (-15 ** ($ $ (-419 (-576)))))))
    (-5 *2 (-656 *4)) (-5 *1 (-1149 *3 *4)) (-4 *3 (-1264 *4))))
  ((*1 *2 *3 *3)
   (-12 (-4 *3 (-13 (-374) (-10 -8 (-15 ** ($ $ (-419 (-576)))))))
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+   (-5 *6 (-3 (|:| |fn| (-400)) (|:| |fp| (-67 DOT))))
+   (-5 *7 (-3 (|:| |fn| (-400)) (|:| |fp| (-68 IMAGE)))) (-5 *4 (-227))
+   (-5 *2 (-1056)) (-5 *1 (-767))))
+ ((*1 *2 *3 *3 *4 *3 *3 *3 *3 *3 *3 *3 *5 *3 *6 *7 *8)
+  (-12 (-5 *3 (-576)) (-5 *5 (-701 (-227)))
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 (((*1 *2 *3 *4)
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-   (-5 *1 (-708 *3)) (-4 *3 (-1264 *4))))) 
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+   (-5 *1 (-822 *5 *6))))
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+   (-4 *5 (-13 (-374) (-148) (-1059 (-576)) (-1059 (-419 (-576)))))
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+ ((*1 *2 *3 *4)
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+   (-5 *2 (-2 (|:| -1593 (-656 (-419 *6))) (|:| -2590 (-701 *5))))
+   (-5 *1 (-822 *5 *6)) (-5 *4 (-656 (-419 *6)))))) 
 (((*1 *1 *1 *1) (-5 *1 (-130)))
  ((*1 *1 *1 *1) (-12 (-5 *1 (-1204 *2)) (-14 *2 (-940))))
  ((*1 *1 *1 *1) (-5 *1 (-1243))) ((*1 *1 *1 *1) (-5 *1 (-1244)))
  ((*1 *1 *1 *1) (-5 *1 (-1245))) ((*1 *1 *1 *1) (-5 *1 (-1246)))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-598 *3)) (-4 *3 (-374))))) 
 (((*1 *2 *1 *1)
   (-12 (-4 *1 (-1286 *3)) (-4 *3 (-1238)) (-4 *3 (-1070))
    (-5 *2 (-701 *3))))) 
-(((*1 *2 *3 *4 *5 *5 *6)
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-   (-5 *2
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+(((*1 *2 *3 *3 *3 *4 *5 *3 *5 *3)
+  (-12 (-5 *3 (-576)) (-5 *5 (-701 (-227))) (-5 *4 (-227))
+   (-5 *2 (-1056)) (-5 *1 (-765))))) 
 (((*1 *2 *1)
   (-12 (-4 *1 (-1031 *3)) (-4 *3 (-1238)) (-5 *2 (-656 *3))))) 
-(((*1 *2 *3 *3 *4)
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-(((*1 *2 *3)
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- ((*1 *1 *2) (-12 (-5 *2 (-656 (-876))) (-5 *1 (-876))))) 
 (((*1 *2 *2)
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-      (-4 *3 (-13 (-374) (-148) (-1059 (-576)))) (-5 *1 (-580 *3 *4))))) 
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-(((*1 *2 *3 *3 *3 *3 *4 *3)
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-   (-5 *1 (-767))))) 
-(((*1 *2 *1 *2) (-12 (-5 *1 (-1047 *2)) (-4 *2 (-1238))))) 
-(((*1 *2 *2) (|partial| -12 (-4 *1 (-1004 *2)) (-4 *2 (-1223))))) 
+  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1023)))))) 
+(((*1 *1 *1)
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+(((*1 *2 *1) (|partial| -12 (-5 *2 (-518)) (-5 *1 (-289))))) 
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+   (-14 *3 (-576)) (-14 *4 (-783))))) 
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+(((*1 *2)
+  (-12 (-4 *3 (-568)) (-5 *2 (-656 *4)) (-5 *1 (-43 *3 *4))
+   (-4 *4 (-429 *3))))) 
+(((*1 *2 *3 *2)
+  (-12 (-5 *2 (-1178 *4)) (-4 *4 (-38 *3)) (-4 *4 (-1070))
+   (-5 *3 (-419 (-576))) (-5 *1 (-1181 *4))))) 
+(((*1 *2 *3)
+  (-12
+   (-5 *3
+    (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227)))
+     (|:| -2951 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
+     (|:| |relerr| (-227))))
+   (-5 *2 (-390)) (-5 *1 (-194))))) 
 (((*1 *1 *1 *1) (-5 *1 (-130)))
  ((*1 *1 *1 *1) (-12 (-5 *1 (-1204 *2)) (-14 *2 (-940))))
  ((*1 *1 *1 *1) (-5 *1 (-1243))) ((*1 *1 *1 *1) (-5 *1 (-1244)))
  ((*1 *1 *1 *1) (-5 *1 (-1245))) ((*1 *1 *1 *1) (-5 *1 (-1246)))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-446))))) 
+(((*1 *2 *3 *4 *3 *4 *4 *4)
+  (-12 (-5 *3 (-701 (-227))) (-5 *4 (-576)) (-5 *2 (-1056))
+   (-5 *1 (-768))))) 
+(((*1 *1 *1) (-12 (-5 *1 (-607 *2)) (-4 *2 (-1070))))) 
+(((*1 *2 *3 *3)
+  (-12
+   (-5 *3
+    (-2 (|:| |lcmfij| *5) (|:| |totdeg| (-783)) (|:| |poli| *7)
+     (|:| |polj| *7)))
+   (-4 *5 (-805)) (-4 *7 (-968 *4 *5 *6)) (-4 *4 (-464)) (-4 *6 (-861))
+   (-5 *2 (-112)) (-5 *1 (-461 *4 *5 *6 *7))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-624 *5))) (-4 *4 (-1121)) (-5 *2 (-624 *5))
-   (-5 *1 (-585 *4 *5)) (-4 *5 (-442 *4))))) 
-(((*1 *2 *1)
-  (-12 (-5 *2 (-876)) (-5 *1 (-402 *3 *4 *5)) (-14 *3 (-783))
-   (-14 *4 (-783)) (-4 *5 (-174))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-419 *2)) (-5 *4 (-1 *2 *2)) (-4 *2 (-1264 *5))
-   (-5 *1 (-739 *5 *2)) (-4 *5 (-374))))) 
-(((*1 *2 *3)
-  (-12 (-5 *2 (-1 (-962 *3) (-962 *3))) (-5 *1 (-178 *3))
-   (-4 *3 (-13 (-374) (-1223) (-1023)))))) 
-(((*1 *1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-876))))) 
+  (-12 (-5 *3 (-2 (|:| -4240 (-419 (-576))) (|:| -4250 (-419 (-576)))))
+   (-5 *2 (-419 (-576))) (-5 *1 (-1041 *4)) (-4 *4 (-1264 (-576)))))) 
 (((*1 *1 *2 *2) (-12 (-5 *1 (-304 *2)) (-4 *2 (-1238))))
  ((*1 *1 *2 *3) (-12 (-5 *2 (-1197)) (-5 *3 (-1179)) (-5 *1 (-1010))))
  ((*1 *1 *2 *3)
@@ -11940,44 +11913,32 @@
  ((*1 *1 *2 *3)
   (-12 (-5 *2 (-1197)) (-5 *3 (-1115 *4)) (-4 *4 (-1238))
    (-5 *1 (-1113 *4))))) 
+(((*1 *1 *1 *1) (-12 (-4 *1 (-397 *2)) (-4 *2 (-1121))))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 (-1 (-112) *8))) (-4 *8 (-1086 *5 *6 *7))
-   (-4 *5 (-568)) (-4 *6 (-805)) (-4 *7 (-861))
+  (-12 (-5 *3 (-1 (-112) *8)) (-4 *8 (-1086 *5 *6 *7)) (-4 *5 (-568))
+   (-4 *6 (-805)) (-4 *7 (-861))
    (-5 *2 (-2 (|:| |goodPols| (-656 *8)) (|:| |badPols| (-656 *8))))
    (-5 *1 (-998 *5 *6 *7 *8)) (-5 *4 (-656 *8))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-656 (-1197))) (-5 *1 (-1201))))) 
-(((*1 *2 *2 *2 *2 *3 *3 *4)
-  (|partial| -12 (-5 *3 (-624 *2))
-      (-5 *4 (-1 (-3 *2 "failed") *2 *2 (-1197)))
-      (-4 *2 (-13 (-442 *5) (-27) (-1223)))
-      (-4 *5 (-13 (-464) (-1059 (-576)) (-148) (-651 (-576))))
-      (-5 *1 (-578 *5 *2 *6)) (-4 *6 (-1121))))) 
-(((*1 *2 *2 *3)
-  (-12 (-5 *3 (-656 *2)) (-4 *2 (-968 *4 *5 *6)) (-4 *4 (-374))
-   (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
-   (-5 *1 (-462 *4 *5 *6 *2))))
- ((*1 *2 *3 *4 *5)
-  (-12 (-5 *4 (-99 *6)) (-5 *5 (-1 *6 *6)) (-4 *6 (-374))
-   (-5 *2
-    (-2 (|:| R (-701 *6)) (|:| A (-701 *6)) (|:| |Ainv| (-701 *6))))
-   (-5 *1 (-999 *6)) (-5 *3 (-701 *6))))) 
+(((*1 *2 *3 *3 *3 *4 *5 *3 *6)
+  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *5 (-227))
+   (-5 *6 (-3 (|:| |fn| (-400)) (|:| |fp| (-74 FCN)))) (-5 *2 (-1056))
+   (-5 *1 (-758))))) 
+(((*1 *2 *2 *2 *3)
+  (-12 (-5 *3 (-783)) (-4 *4 (-13 (-1070) (-729 (-419 (-576)))))
+   (-4 *5 (-861)) (-5 *1 (-1304 *4 *5 *2)) (-4 *2 (-1309 *5 *4))))) 
+(((*1 *2 *3 *2)
+  (-12 (-5 *3 (-656 (-701 *4))) (-5 *2 (-701 *4)) (-4 *4 (-1070))
+   (-5 *1 (-1050 *4))))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 (-1 (-112) *8))) (-4 *8 (-1086 *5 *6 *7))
-   (-4 *5 (-568)) (-4 *6 (-805)) (-4 *7 (-861))
-   (-5 *2 (-2 (|:| |goodPols| (-656 *8)) (|:| |badPols| (-656 *8))))
-   (-5 *1 (-998 *5 *6 *7 *8)) (-5 *4 (-656 *8))))) 
-(((*1 *2 *3 *1)
-  (-12 (-5 *3 (-518)) (-5 *2 (-703 (-109))) (-5 *1 (-177))))
- ((*1 *2 *3 *1)
-  (-12 (-5 *3 (-518)) (-5 *2 (-703 (-109))) (-5 *1 (-1106))))) 
-(((*1 *1 *2)
-  (-12 (-5 *2 (-419 *4)) (-4 *4 (-1264 *3)) (-4 *3 (-13 (-374) (-148)))
-   (-5 *1 (-411 *3 *4))))) 
+  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
 (((*1 *1 *1) (-5 *1 (-227)))
  ((*1 *1 *1)
   (-12 (-5 *1 (-350 *2 *3 *4)) (-14 *2 (-656 (-1197)))
    (-14 *3 (-656 (-1197))) (-4 *4 (-399))))
  ((*1 *1 *1) (-5 *1 (-390))) ((*1 *1) (-5 *1 (-390)))) 
+(((*1 *2 *2)
+  (-12 (-5 *2 (-1288 *1)) (-4 *1 (-353 *3 *4 *5)) (-4 *3 (-1242))
+   (-4 *4 (-1264 *3)) (-4 *5 (-1264 (-419 *4)))))) 
 (((*1 *2 *3 *2)
   (-12 (-5 *2 (-656 (-390))) (-5 *3 (-656 (-270))) (-5 *1 (-268))))
  ((*1 *2 *1 *2) (-12 (-5 *2 (-656 (-390))) (-5 *1 (-480))))
@@ -11995,32 +11956,166 @@
  ((*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-624 *3)) (-4 *3 (-1121))))
  ((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-876))))
  ((*1 *2 *1) (-12 (-5 *2 (-576)) (-5 *1 (-876))))) 
-(((*1 *2 *1)
-  (-12 (-4 *3 (-1238)) (-5 *2 (-656 *1)) (-4 *1 (-1031 *3))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-13 (-568) (-1059 (-576)))) (-4 *5 (-442 *4))
-   (-5 *2
-    (-3 (|:| |overq| (-1193 (-419 (-576))))
-     (|:| |overan| (-1193 (-48))) (|:| -4196 (-112))))
-   (-5 *1 (-447 *4 *5 *3)) (-4 *3 (-1264 *5))))) 
-(((*1 *2 *1) (|partial| -12 (-5 *2 (-518)) (-5 *1 (-289))))) 
-(((*1 *1 *1) (-12 (-5 *1 (-607 *2)) (-4 *2 (-1070))))) 
+(((*1 *1 *1) (-4 *1 (-1081)))
+ ((*1 *1 *1 *2 *2)
+  (-12 (-4 *1 (-1266 *3 *2)) (-4 *3 (-1070)) (-4 *2 (-804))))
+ ((*1 *1 *1 *2)
+  (-12 (-4 *1 (-1266 *3 *2)) (-4 *3 (-1070)) (-4 *2 (-804))))) 
 (((*1 *2 *1)
   (-12 (-5 *2 (-112)) (-5 *1 (-1185 *3 *4)) (-14 *3 (-940))
    (-4 *4 (-1070))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-566 *2)) (-4 *2 (-13 (-416) (-1223)))))
+ ((*1 *1 *1 *1) (-4 *1 (-805)))) 
+(((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-479))))
+ ((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-479))))
+ ((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-946))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1238))))) 
+(((*1 *2 *3 *2) (-12 (-5 *3 (-783)) (-5 *1 (-870 *2)) (-4 *2 (-174))))
+ ((*1 *2 *3)
+  (-12 (-5 *2 (-1193 (-576))) (-5 *1 (-961)) (-5 *3 (-576))))) 
+(((*1 *2 *3 *3 *3 *3 *3 *3 *4 *4 *4 *4 *5 *3 *3 *4 *3)
+  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *5 (-112))
+   (-5 *2 (-1056)) (-5 *1 (-765))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-1114 *2)) (-4 *2 (-1238))))) 
+(((*1 *2 *3 *4 *5 *6)
+  (|partial| -12 (-5 *4 (-1 *8 *8))
+      (-5 *5
+       (-1 (-2 (|:| |ans| *7) (|:| -4250 *7) (|:| |sol?| (-112)))
+        (-576) *7))
+      (-5 *6 (-656 (-419 *8))) (-4 *7 (-374)) (-4 *8 (-1264 *7))
+      (-5 *3 (-419 *8))
+      (-5 *2
+       (-2
+        (|:| |answer|
+             (-2 (|:| |mainpart| *3)
+              (|:| |limitedlogs|
+                   (-656 (-2 (|:| |coeff| *3) (|:| |logand| *3))))))
+        (|:| |a0| *7)))
+      (-5 *1 (-586 *7 *8))))) 
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+(((*1 *2 *2 *2)
+  (-12 (-5 *2 (-430 *3)) (-4 *3 (-568)) (-5 *1 (-431 *3))))) 
+(((*1 *2 *1 *1 *3)
+  (-12 (-4 *4 (-1070)) (-4 *5 (-805)) (-4 *3 (-861))
+   (-5 *2 (-2 (|:| -1714 *1) (|:| |gap| (-783)) (|:| -3624 *1)))
+   (-4 *1 (-1086 *4 *5 *3))))
+ ((*1 *2 *1 *1)
+  (-12 (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861))
+   (-5 *2 (-2 (|:| -1714 *1) (|:| |gap| (-783)) (|:| -3624 *1)))
+   (-4 *1 (-1086 *3 *4 *5))))) 
 (((*1 *1 *1) (-12 (-4 *1 (-167 *2)) (-4 *2 (-174))))
  ((*1 *1 *1 *1) (-4 *1 (-485)))
  ((*1 *1 *1) (-12 (-4 *1 (-809 *2)) (-4 *2 (-174))))
  ((*1 *2 *2) (-12 (-5 *2 (-656 (-940))) (-5 *1 (-898))))
  ((*1 *1 *1) (-5 *1 (-992)))
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+(((*1 *2 *3 *3 *4 *5 *5 *3)
+  (-12 (-5 *3 (-576)) (-5 *4 (-1179)) (-5 *5 (-701 (-227)))
+   (-5 *2 (-1056)) (-5 *1 (-759))))) 
+(((*1 *2 *3 *4 *4)
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+   (-4 *3 (-626 (-548))) (-4 *5 (-1238)) (-4 *6 (-1238))
+   (-4 *7 (-1238))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *4 (-1197)) (-5 *2 (-1 *6 *5)) (-5 *1 (-718 *3 *5 *6))
+   (-4 *3 (-626 (-548))) (-4 *5 (-1238)) (-4 *6 (-1238))))) 
+(((*1 *2 *3 *1 *4)
+  (-12 (-5 *3 (-1161 *5 *6)) (-5 *4 (-1 (-112) *6 *6))
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+   (-5 *2 (-112)) (-5 *1 (-1162 *5 *6))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-353 *3 *4 *5)) (-4 *3 (-1242)) (-4 *4 (-1264 *3))
+   (-4 *5 (-1264 (-419 *4)))
+   (-5 *2 (-2 (|:| |num| (-1288 *4)) (|:| |den| *4)))))) 
+(((*1 *2 *3 *4)
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+ ((*1 *1 *1) (-5 *1 (-876)))) 
+(((*1 *2) (-12 (-5 *2 (-888)) (-5 *1 (-1291))))
+ ((*1 *2 *2) (-12 (-5 *2 (-888)) (-5 *1 (-1291))))) 
 (((*1 *2 *3)
   (-12 (-5 *3 (-907 *4)) (-4 *4 (-1121)) (-5 *2 (-656 *5))
    (-5 *1 (-905 *4 *5)) (-4 *5 (-1238))))) 
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+ ((*1 *2)
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+  (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2))
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+(((*1 *2 *1 *2)
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+  (-12 (-5 *3 (-656 (-940))) (-5 *2 (-656 (-701 (-576))))
+   (-5 *1 (-1131))))) 
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+ ((*1 *2 *1)
+  (-12 (-5 *2 (-3 (-576) (-227) (-518) (-1179) (-1202)))
+   (-5 *1 (-1202))))) 
 (((*1 *2 *2)
   (-12 (-5 *2 (-1178 *3)) (-4 *3 (-1070)) (-5 *1 (-1181 *3))))) 
+(((*1 *2 *2 *3)
+  (|partial| -12 (-5 *2 (-656 (-1193 *7))) (-5 *3 (-1193 *7))
+      (-4 *7 (-968 *4 *5 *6)) (-4 *4 (-928)) (-4 *5 (-805))
+      (-4 *6 (-861)) (-5 *1 (-925 *4 *5 *6 *7))))
+ ((*1 *2 *2 *3)
+  (|partial| -12 (-5 *2 (-656 (-1193 *5))) (-5 *3 (-1193 *5))
+      (-4 *5 (-1264 *4)) (-4 *4 (-928)) (-5 *1 (-926 *4 *5))))) 
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+(((*1 *1) (-5 *1 (-449)))) 
+(((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-834))))) 
+(((*1 *2 *1 *1 *1)
+  (|partial| -12 (-5 *2 (-2 (|:| |coef1| *1) (|:| |coef2| *1)))
+      (-4 *1 (-317))))
+ ((*1 *2 *1 *1)
+  (-12 (-5 *2 (-2 (|:| |coef1| *1) (|:| |coef2| *1) (|:| -4129 *1)))
+   (-4 *1 (-317))))) 
+(((*1 *2 *3 *4 *4 *5 *3 *3 *4 *3)
+  (-12 (-5 *3 (-576)) (-5 *5 (-701 (-227))) (-5 *4 (-227))
+   (-5 *2 (-1056)) (-5 *1 (-764))))) 
+(((*1 *2 *3 *4 *2 *2 *5)
+  (|partial| -12 (-5 *2 (-855 *4)) (-5 *3 (-624 *4)) (-5 *5 (-112))
+      (-4 *4 (-13 (-1223) (-29 *6)))
+      (-4 *6 (-13 (-464) (-1059 (-576)) (-651 (-576))))
+      (-5 *1 (-226 *6 *4))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
+(((*1 *2 *1 *1)
+  (-12 (-5 *2 (-2 (|:| -3498 (-794 *3)) (|:| |coef2| (-794 *3))))
+   (-5 *1 (-794 *3)) (-4 *3 (-568)) (-4 *3 (-1070))))
+ ((*1 *2 *1 *1)
+  (-12 (-4 *3 (-568)) (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861))
+   (-5 *2 (-2 (|:| -3498 *1) (|:| |coef2| *1)))
+   (-4 *1 (-1086 *3 *4 *5))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-699 *3 *4 *5)) (-4 *3 (-1070)) (-4 *4 (-384 *3))
+   (-4 *5 (-384 *3)) (-5 *2 (-112))))
+ ((*1 *2 *1)
+  (-12 (-4 *1 (-1074 *3 *4 *5 *6 *7)) (-4 *5 (-1070))
+   (-4 *6 (-243 *4 *5)) (-4 *7 (-243 *3 *5)) (-5 *2 (-112))))) 
 (((*1 *2 *3 *4)
   (|partial| -12 (-5 *4 (-304 (-845 *3)))
       (-4 *5 (-13 (-464) (-1059 (-576)) (-651 (-576))))
@@ -12033,429 +12128,279 @@
  ((*1 *2 *3 *4)
   (-12 (-5 *4 (-304 (-419 (-971 *5)))) (-5 *3 (-419 (-971 *5)))
    (-4 *5 (-464)) (-5 *2 (-845 *3)) (-5 *1 (-649 *5))))) 
-(((*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-1121)) (-4 *1 (-240 *3))))
- ((*1 *1) (-12 (-4 *1 (-240 *2)) (-4 *2 (-1121))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-215 4 (-130))) (-5 *1 (-591))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-783)) (-5 *2 (-1 (-390))) (-5 *1 (-1061))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-940)) (-5 *2 (-1193 *4)) (-5 *1 (-368 *4))
-   (-4 *4 (-360))))) 
-(((*1 *1 *1 *1) (-5 *1 (-876)))) 
-(((*1 *2) (-12 (-4 *1 (-1065 *2)) (-4 *2 (-23))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-401)) (-5 *2 (-1179))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 |RationalNumber|) (-5 *2 (-1 (-576))) (-5 *1 (-1068))))) 
-(((*1 *2)
-  (-12 (-4 *4 (-174)) (-5 *2 (-112)) (-5 *1 (-377 *3 *4))
-   (-4 *3 (-378 *4))))
- ((*1 *2) (-12 (-4 *1 (-378 *3)) (-4 *3 (-174)) (-5 *2 (-112))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1115 (-227))) (-5 *1 (-945))))
- ((*1 *2 *1) (-12 (-5 *2 (-1115 (-227))) (-5 *1 (-946))))) 
-(((*1 *2 *3)
-  (-12 (-4 *1 (-939)) (-5 *2 (-2 (|:| -1714 (-656 *1)) (|:| -4128 *1)))
-   (-5 *3 (-656 *1))))) 
-(((*1 *2 *3 *2)
-  (-12 (-4 *1 (-799)) (-5 *2 (-1056))
-   (-5 *3
-    (-2 (|:| |fn| (-326 (-227)))
-     (|:| -3343 (-656 (-1115 (-855 (-227))))) (|:| |abserr| (-227))
-     (|:| |relerr| (-227))))))
- ((*1 *2 *3 *2)
-  (-12 (-4 *1 (-799)) (-5 *2 (-1056))
-   (-5 *3
-    (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227)))
-     (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
-     (|:| |relerr| (-227))))))) 
-(((*1 *2)
-  (-12 (-5 *2 (-1288 (-1122 *3 *4))) (-5 *1 (-1122 *3 *4))
-   (-14 *3 (-940)) (-14 *4 (-940))))) 
-(((*1 *2 *3)
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-(((*1 *2 *3)
-  (|partial| -12 (-4 *4 (-13 (-568) (-1059 (-576)))) (-4 *5 (-442 *4))
-      (-5 *2 (-430 (-1193 (-419 (-576))))) (-5 *1 (-447 *4 *5 *3))
-      (-4 *3 (-1264 *5))))) 
-(((*1 *2 *3 *4 *5)
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-      (-4 *3 (-13 (-27) (-1223) (-442 *6)))
-      (-4 *6 (-13 (-464) (-148) (-1059 (-576)) (-651 (-576))))
-      (-5 *2
-       (-2 (|:| |mainpart| *3)
-        (|:| |limitedlogs|
-             (-656 (-2 (|:| |coeff| *3) (|:| |logand| *3))))))
-      (-5 *1 (-569 *6 *3))))) 
-(((*1 *2 *3)
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-(((*1 *2 *2 *2) (-12 (-5 *2 (-227)) (-5 *1 (-228))))
- ((*1 *2 *2 *2) (-12 (-5 *2 (-171 (-227))) (-5 *1 (-228))))
- ((*1 *2 *2 *2)
-  (-12 (-4 *3 (-568)) (-5 *1 (-443 *3 *2)) (-4 *2 (-442 *3))))
- ((*1 *1 *1 *1) (-4 *1 (-1160)))) 
-(((*1 *2 *3 *2)
+(((*1 *2 *1)
   (-12
    (-5 *2
     (-656
-     (-2 (|:| |lcmfij| *3) (|:| |totdeg| (-783)) (|:| |poli| *6)
-      (|:| |polj| *6))))
-   (-4 *3 (-805)) (-4 *6 (-968 *4 *3 *5)) (-4 *4 (-464)) (-4 *5 (-861))
-   (-5 *1 (-461 *4 *3 *5 *6))))) 
-(((*1 *1 *2)
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+            (|:| -2951 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
+            (|:| |relerr| (-227))))
+      (|:| -4440
+           (-2
+            (|:| |endPointContinuity|
+                 (-3 (|:| |continuous| "Continuous at the end points")
+                  (|:| |lowerSingular|
+                       "There is a singularity at the lower end point")
+                  (|:| |upperSingular|
+                       "There is a singularity at the upper end point")
+                  (|:| |bothSingular|
+                       "There are singularities at both end points")
+                  (|:| |notEvaluated|
+                       "End point continuity not yet evaluated")))
+            (|:| |singularitiesStream|
+                 (-3 (|:| |str| (-1178 (-227)))
+                  (|:| |notEvaluated|
+                       "Internal singularities not yet evaluated")))
+            (|:| -2951
+                 (-3 (|:| |finite| "The range is finite")
+                  (|:| |lowerInfinite|
+                       "The bottom of range is infinite")
+                  (|:| |upperInfinite| "The top of range is infinite")
+                  (|:| |bothInfinite|
+                       "Both top and bottom points are infinite")
+                  (|:| |notEvaluated| "Range not yet evaluated"))))))))
+   (-5 *1 (-571))))
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 (((*1 *2 *1)
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-(((*1 *2 *3)
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-  (|partial| -12 (-5 *3 (-115)) (-5 *2 (-656 (-1 *4 (-656 *4))))
-      (-5 *1 (-114 *4)) (-4 *4 (-1121))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 (-701 *5))) (-5 *4 (-1288 *5)) (-4 *5 (-317))
+   (-4 *5 (-1070)) (-5 *2 (-701 *5)) (-5 *1 (-1050 *5))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-656 (-656 (-962 (-227)))))
+   (-5 *2 (-656 (-1115 (-227)))) (-5 *1 (-947))))) 
+(((*1 *2 *3 *3 *2)
+  (|partial| -12 (-5 *2 (-783))
+      (-4 *3 (-13 (-738) (-379) (-10 -7 (-15 ** (*3 *3 (-576))))))
+      (-5 *1 (-251 *3))))) 
 (((*1 *2 *2) (|partial| -12 (-4 *1 (-1004 *2)) (-4 *2 (-1223))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-565))))) 
-(((*1 *2 *2 *3)
-  (-12 (-5 *3 (-1 (-112) *2)) (-4 *2 (-133)) (-5 *1 (-1105 *2))))
- ((*1 *2 *2 *3)
-  (-12 (-5 *3 (-1 (-576) *2 *2)) (-4 *2 (-133)) (-5 *1 (-1105 *2))))) 
 (((*1 *2)
   (-12 (-14 *4 *2) (-4 *5 (-1238)) (-5 *2 (-783))
    (-5 *1 (-242 *3 *4 *5)) (-4 *3 (-243 *4 *5))))
@@ -12929,32 +12875,29 @@
  ((*1 *2 *1)
   (-12 (-4 *2 (-13 (-860) (-374))) (-5 *1 (-1082 *2 *3))
    (-4 *3 (-1264 *2))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-171 (-227))) (-5 *1 (-228))))
+ ((*1 *2 *2) (-12 (-5 *2 (-227)) (-5 *1 (-228))))
+ ((*1 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-443 *3 *2)) (-4 *2 (-442 *3))))
+ ((*1 *1 *1) (-4 *1 (-1160)))) 
+(((*1 *1 *2)
+  (-12 (-5 *2 (-656 (-2 (|:| |gen| *3) (|:| -4104 *4))))
+   (-4 *3 (-1121)) (-4 *4 (-23)) (-14 *5 *4) (-5 *1 (-661 *3 *4 *5))))) 
+(((*1 *2 *3 *3 *2 *4)
+  (-12 (-5 *3 (-701 *2)) (-5 *4 (-576))
+   (-4 *2 (-13 (-317) (-10 -8 (-15 -3921 ((-430 $) $)))))
+   (-4 *5 (-1264 *2)) (-5 *1 (-511 *2 *5 *6)) (-4 *6 (-421 *2 *5))))) 
+(((*1 *2) (-12 (-5 *2 (-1293)) (-5 *1 (-448))))) 
 (((*1 *2 *1 *1)
-  (-12 (-4 *1 (-1119 *3)) (-4 *3 (-1121)) (-5 *2 (-112))))) 
-(((*1 *2)
-  (-12 (-5 *2 (-701 (-929 *3))) (-5 *1 (-362 *3 *4)) (-14 *3 (-940))
-   (-14 *4 (-940))))
- ((*1 *2)
-  (-12 (-5 *2 (-701 *3)) (-5 *1 (-363 *3 *4)) (-4 *3 (-360))
-   (-14 *4
-    (-3 (-1193 *3)
-     (-1288 (-656 (-2 (|:| -3104 *3) (|:| -3223 (-1141)))))))))
- ((*1 *2)
-  (-12 (-5 *2 (-701 *3)) (-5 *1 (-364 *3 *4)) (-4 *3 (-360))
-   (-14 *4 (-940))))) 
-(((*1 *2 *1)
-  (-12 (-4 *1 (-699 *3 *4 *5)) (-4 *3 (-1070)) (-4 *4 (-384 *3))
-   (-4 *5 (-384 *3)) (-5 *2 (-656 (-656 *3)))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-1074 *3 *4 *5 *6 *7)) (-4 *5 (-1070))
-   (-4 *6 (-243 *4 *5)) (-4 *7 (-243 *3 *5)) (-5 *2 (-656 (-656 *5)))))
- ((*1 *2 *1)
-  (-12 (-5 *2 (-656 (-656 *3))) (-5 *1 (-1209 *3)) (-4 *3 (-1121))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-701 (-326 (-227)))) (-5 *2 (-390)) (-5 *1 (-207))))) 
-(((*1 *2 *3 *4 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
-   (-5 *1 (-759))))) 
+  (-12
+   (-5 *2
+    (-2 (|:| -3498 (-794 *3)) (|:| |coef1| (-794 *3))
+     (|:| |coef2| (-794 *3))))
+   (-5 *1 (-794 *3)) (-4 *3 (-568)) (-4 *3 (-1070))))
+ ((*1 *2 *1 *1)
+  (-12 (-4 *3 (-568)) (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861))
+   (-5 *2 (-2 (|:| -3498 *1) (|:| |coef1| *1) (|:| |coef2| *1)))
+   (-4 *1 (-1086 *3 *4 *5))))) 
 (((*1 *2 *1) (-12 (-5 *2 (-656 (-518))) (-5 *1 (-49))))
  ((*1 *2 *1) (-12 (-5 *2 (-656 (-890))) (-5 *1 (-495))))) 
 (((*1 *2 *1) (-12 (-4 *1 (-47 *2 *3)) (-4 *3 (-804)) (-4 *2 (-1070))))
@@ -12966,10 +12909,10 @@
  ((*1 *2 *1)
   (-12 (-4 *1 (-393 *2 *3)) (-4 *3 (-1121)) (-4 *2 (-1070))))
  ((*1 *2 *1)
-  (-12 (-14 *3 (-656 (-1197))) (-4 *5 (-243 (-3502 *3) (-783)))
+  (-12 (-14 *3 (-656 (-1197))) (-4 *5 (-243 (-3503 *3) (-783)))
    (-14 *6
-    (-1 (-112) (-2 (|:| -3223 *4) (|:| -4210 *5))
-     (-2 (|:| -3223 *4) (|:| -4210 *5))))
+    (-1 (-112) (-2 (|:| -3224 *4) (|:| -3422 *5))
+     (-2 (|:| -3224 *4) (|:| -3422 *5))))
    (-4 *2 (-174)) (-5 *1 (-473 *3 *2 *4 *5 *6 *7)) (-4 *4 (-861))
    (-4 *7 (-968 *2 *5 (-878 *3)))))
  ((*1 *2 *1) (-12 (-4 *1 (-521 *2 *3)) (-4 *3 (-861)) (-4 *2 (-1121))))
@@ -12986,43 +12929,54 @@
  ((*1 *1 *1 *2)
   (-12 (-4 *1 (-1086 *3 *4 *2)) (-4 *3 (-1070)) (-4 *4 (-805))
    (-4 *2 (-861))))) 
-(((*1 *2 *3 *1)
-  (-12 (-5 *3 (-656 *4)) (-4 *4 (-1121)) (-4 *4 (-1238)) (-5 *2 (-112))
-   (-5 *1 (-1178 *4))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
-(((*1 *2 *2 *3)
-  (-12 (-5 *3 (-1197)) (-4 *4 (-568)) (-4 *4 (-1121))
-   (-5 *1 (-585 *4 *2)) (-4 *2 (-442 *4))))) 
-(((*1 *1 *1) (-5 *1 (-1084)))) 
-(((*1 *2 *1 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-1290))))) 
-(((*1 *2 *3 *4 *3)
-  (|partial| -12 (-5 *4 (-1197))
-      (-4 *5 (-13 (-464) (-148) (-1059 (-576)) (-651 (-576))))
-      (-5 *2 (-2 (|:| -4106 *3) (|:| |coeff| *3))) (-5 *1 (-569 *5 *3))
-      (-4 *3 (-13 (-27) (-1223) (-442 *5)))))) 
+(((*1 *2 *1 *2 *3)
+  (|partial| -12 (-5 *2 (-1179)) (-5 *3 (-576)) (-5 *1 (-1084))))) 
+(((*1 *2 *2 *2) (-12 (-5 *2 (-227)) (-5 *1 (-228))))
+ ((*1 *2 *2 *2) (-12 (-5 *2 (-171 (-227))) (-5 *1 (-228))))
+ ((*1 *2 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-443 *3 *2)) (-4 *2 (-442 *3))))
+ ((*1 *1 *1 *1) (-4 *1 (-1160)))) 
 (((*1 *2 *3)
-  (-12 (-5 *2 (-430 (-1193 *1))) (-5 *1 (-326 *4)) (-5 *3 (-1193 *1))
-   (-4 *4 (-464)) (-4 *4 (-568)) (-4 *4 (-1121))))
+  (-12 (-5 *3 (-598 *2)) (-4 *2 (-13 (-29 *4) (-1223)))
+   (-5 *1 (-595 *4 *2))
+   (-4 *4 (-13 (-464) (-1059 (-576)) (-651 (-576))))))
  ((*1 *2 *3)
-  (-12 (-4 *1 (-928)) (-5 *2 (-430 (-1193 *1))) (-5 *3 (-1193 *1))))) 
+  (-12 (-5 *3 (-598 (-419 (-971 *4))))
+   (-4 *4 (-13 (-464) (-1059 (-576)) (-651 (-576)))) (-5 *2 (-326 *4))
+   (-5 *1 (-601 *4))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-566 *3)) (-4 *3 (-13 (-416) (-1223))) (-5 *2 (-112))))
+ ((*1 *2 *1) (-12 (-4 *1 (-860)) (-5 *2 (-112))))
+ ((*1 *2 *3 *1)
+  (-12 (-4 *1 (-1089 *4 *3)) (-4 *4 (-13 (-860) (-374)))
+   (-4 *3 (-1264 *4)) (-5 *2 (-112))))) 
 (((*1 *1 *2)
-  (-12 (-5 *2 (-1288 *3)) (-4 *3 (-1070)) (-5 *1 (-724 *3 *4))
-   (-4 *4 (-1264 *3))))) 
-(((*1 *2 *3 *3 *3 *3 *3 *3 *3 *3 *4 *5 *5 *5 *5 *5 *5 *6 *6 *6 *3 *3 *5
-      *7 *3 *8)
-  (-12 (-5 *5 (-701 (-227))) (-5 *6 (-112)) (-5 *7 (-701 (-576)))
-   (-5 *8 (-3 (|:| |fn| (-400)) (|:| |fp| (-65 QPHESS))))
-   (-5 *3 (-576)) (-5 *4 (-227)) (-5 *2 (-1056)) (-5 *1 (-765))))) 
+  (-12 (-5 *2 (-656 (-656 *3))) (-4 *3 (-1121)) (-5 *1 (-924 *3))))) 
+(((*1 *2 *3)
+  (-12
+   (-5 *3
+    (-2 (|:| |xinit| (-227)) (|:| |xend| (-227))
+     (|:| |fn| (-1288 (-326 (-227)))) (|:| |yinit| (-656 (-227)))
+     (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227)))
+     (|:| |abserr| (-227)) (|:| |relerr| (-227))))
+   (-5 *2 (-390)) (-5 *1 (-207))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-940)) (-5 *2 (-923 (-576))) (-5 *1 (-936))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-656 (-576))) (-5 *2 (-923 (-576))) (-5 *1 (-936))))) 
+(((*1 *2)
+  (-12 (-4 *4 (-174)) (-5 *2 (-112)) (-5 *1 (-377 *3 *4))
+   (-4 *3 (-378 *4))))
+ ((*1 *2) (-12 (-4 *1 (-378 *3)) (-4 *3 (-174)) (-5 *2 (-112))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-834))))) 
 (((*1 *1 *1) (-12 (-4 *1 (-47 *2 *3)) (-4 *2 (-1070)) (-4 *3 (-804))))
  ((*1 *2 *1)
   (-12 (-4 *1 (-393 *3 *2)) (-4 *3 (-1070)) (-4 *2 (-1121))))
  ((*1 *2 *1)
   (-12 (-14 *3 (-656 (-1197))) (-4 *4 (-174))
-   (-4 *6 (-243 (-3502 *3) (-783)))
+   (-4 *6 (-243 (-3503 *3) (-783)))
    (-14 *7
-    (-1 (-112) (-2 (|:| -3223 *5) (|:| -4210 *6))
-     (-2 (|:| -3223 *5) (|:| -4210 *6))))
+    (-1 (-112) (-2 (|:| -3224 *5) (|:| -3422 *6))
+     (-2 (|:| -3224 *5) (|:| -3422 *6))))
    (-5 *2 (-725 *5 *6 *7)) (-5 *1 (-473 *3 *4 *5 *6 *7 *8))
    (-4 *5 (-861)) (-4 *8 (-968 *4 *6 (-878 *3)))))
  ((*1 *2 *1)
@@ -13031,148 +12985,134 @@
  ((*1 *1 *1)
   (-12 (-4 *1 (-994 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-804))
    (-4 *4 (-861))))) 
-(((*1 *2 *3)
+(((*1 *1 *2) (-12 (-5 *2 (-419 (-576))) (-5 *1 (-219))))) 
+(((*1 *2 *3 *2)
   (-12
-   (-5 *3
-    (-656
-     (-2 (|:| -3733 (-783))
-      (|:| |eqns|
-           (-656
-            (-2 (|:| |det| *7) (|:| |rows| (-656 (-576)))
-             (|:| |cols| (-656 (-576))))))
-      (|:| |fgb| (-656 *7)))))
-   (-4 *7 (-968 *4 *6 *5)) (-4 *4 (-13 (-317) (-148)))
-   (-4 *5 (-13 (-861) (-626 (-1197)))) (-4 *6 (-805)) (-5 *2 (-783))
-   (-5 *1 (-943 *4 *5 *6 *7))))) 
-(((*1 *2 *1 *3 *4)
-  (-12 (-5 *3 (-940)) (-5 *4 (-1179)) (-5 *2 (-1293)) (-5 *1 (-1289))))) 
-(((*1 *2)
-  (-12 (-4 *4 (-174)) (-5 *2 (-112)) (-5 *1 (-377 *3 *4))
-   (-4 *3 (-378 *4))))
- ((*1 *2) (-12 (-4 *1 (-378 *3)) (-4 *3 (-174)) (-5 *2 (-112))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-227)) (-5 *2 (-112)) (-5 *1 (-309 *4 *5)) (-14 *4 *3)
-   (-14 *5 *3)))
- ((*1 *2 *3 *4)
-  (-12 (-5 *4 (-1115 (-855 (-227)))) (-5 *3 (-227)) (-5 *2 (-112))
-   (-5 *1 (-315))))
- ((*1 *2 *1 *1)
-  (-12 (-4 *3 (-374)) (-4 *4 (-805)) (-4 *5 (-861)) (-5 *2 (-112))
-   (-5 *1 (-516 *3 *4 *5 *6)) (-4 *6 (-968 *3 *4 *5))))) 
-(((*1 *1 *2 *2) (-12 (-5 *1 (-892 *2)) (-4 *2 (-1238))))
- ((*1 *1 *2 *2 *2) (-12 (-5 *1 (-894 *2)) (-4 *2 (-1238))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-1155 *3)) (-4 *3 (-1070)) (-5 *2 (-656 (-962 *3)))))
- ((*1 *1 *2)
-  (-12 (-5 *2 (-656 (-962 *3))) (-4 *3 (-1070)) (-4 *1 (-1155 *3))))
- ((*1 *1 *1 *2)
-  (-12 (-5 *2 (-656 (-656 *3))) (-4 *1 (-1155 *3)) (-4 *3 (-1070))))
- ((*1 *1 *1 *2)
-  (-12 (-5 *2 (-656 (-962 *3))) (-4 *1 (-1155 *3)) (-4 *3 (-1070))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-539)) (-5 *2 (-703 (-561)))))) 
-(((*1 *2 *3 *4 *5)
-  (-12 (-5 *4 (-1 (-656 *7) *7 (-1193 *7))) (-5 *5 (-1 (-430 *7) *7))
-   (-4 *7 (-1264 *6)) (-4 *6 (-13 (-374) (-148) (-1059 (-419 (-576)))))
-   (-5 *2 (-656 (-2 (|:| |frac| (-419 *7)) (|:| -4026 *3))))
-   (-5 *1 (-821 *6 *7 *3 *8)) (-4 *3 (-668 *7))
-   (-4 *8 (-668 (-419 *7)))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *4 (-1 (-430 *6) *6)) (-4 *6 (-1264 *5))
-   (-4 *5 (-13 (-374) (-148) (-1059 (-576)) (-1059 (-419 (-576)))))
    (-5 *2
-    (-656 (-2 (|:| |frac| (-419 *6)) (|:| -4026 (-666 *6 (-419 *6))))))
-   (-5 *1 (-824 *5 *6)) (-5 *3 (-666 *6 (-419 *6)))))) 
+    (-656
+     (-2 (|:| |lcmfij| *3) (|:| |totdeg| (-783)) (|:| |poli| *6)
+      (|:| |polj| *6))))
+   (-4 *3 (-805)) (-4 *6 (-968 *4 *3 *5)) (-4 *4 (-464)) (-4 *5 (-861))
+   (-5 *1 (-461 *4 *3 *5 *6))))) 
 (((*1 *2 *1)
-  (-12 (-4 *1 (-384 *3)) (-4 *3 (-1238)) (-4 *3 (-861)) (-5 *2 (-112))))
- ((*1 *2 *3 *1)
-  (-12 (-5 *3 (-1 (-112) *4 *4)) (-4 *1 (-384 *4)) (-4 *4 (-1238))
-   (-5 *2 (-112))))) 
-(((*1 *1 *1 *1 *1) (-4 *1 (-557)))) 
+  (-12 (-4 *1 (-353 *3 *4 *5)) (-4 *3 (-1242)) (-4 *4 (-1264 *3))
+   (-4 *5 (-1264 (-419 *4)))
+   (-5 *2 (-2 (|:| |num| (-1288 *4)) (|:| |den| *4)))))) 
+(((*1 *1) (-5 *1 (-449)))) 
+(((*1 *1 *1 *1) (-4 *1 (-485))) ((*1 *1 *1 *1) (-4 *1 (-773)))) 
+(((*1 *1 *1 *2)
+  (-12 (-5 *2 (-656 *3)) (-4 *3 (-1121)) (-5 *1 (-103 *3))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-13 (-374) (-10 -8 (-15 ** ($ $ (-419 (-576)))))))
+   (-5 *2 (-656 *4)) (-5 *1 (-1149 *3 *4)) (-4 *3 (-1264 *4))))
+ ((*1 *2 *3 *3 *3 *3)
+  (-12 (-4 *3 (-13 (-374) (-10 -8 (-15 ** ($ $ (-419 (-576)))))))
+   (-5 *2 (-656 *3)) (-5 *1 (-1149 *4 *3)) (-4 *4 (-1264 *3))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-158)) (-5 *1 (-888))))) 
+(((*1 *2 *3)
+  (-12
+   (-5 *3
+    (-2 (|:| |xinit| (-227)) (|:| |xend| (-227))
+     (|:| |fn| (-1288 (-326 (-227)))) (|:| |yinit| (-656 (-227)))
+     (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227)))
+     (|:| |abserr| (-227)) (|:| |relerr| (-227))))
+   (-5 *2 (-390)) (-5 *1 (-207))))) 
 (((*1 *1 *2)
   (-12 (-5 *2 (-656 *3)) (-4 *3 (-1121)) (-4 *1 (-1119 *3))))
  ((*1 *1) (-12 (-4 *1 (-1119 *2)) (-4 *2 (-1121))))) 
 (((*1 *2 *1) (-12 (-4 *1 (-336 *2 *3)) (-4 *3 (-804)) (-4 *2 (-1070))))
  ((*1 *2 *1) (-12 (-4 *1 (-442 *2)) (-4 *2 (-1121))))) 
-(((*1 *2)
-  (-12 (-5 *2 (-1293)) (-5 *1 (-1215 *3 *4)) (-4 *3 (-1121))
-   (-4 *4 (-1121))))) 
-(((*1 *2 *3 *4)
-  (-12 (-4 *4 (-374)) (-5 *2 (-656 (-1178 *4))) (-5 *1 (-295 *4 *5))
-   (-5 *3 (-1178 *4)) (-4 *5 (-1279 *4))))) 
-(((*1 *1 *2 *1)
-  (-12 (-5 *2 (-1 (-112) *3)) (|has| *1 (-6 -4464)) (-4 *1 (-240 *3))
-   (-4 *3 (-1121))))
- ((*1 *1 *2 *1)
-  (-12 (|has| *1 (-6 -4464)) (-4 *1 (-240 *2)) (-4 *2 (-1121))))
- ((*1 *1 *2 *1)
-  (-12 (-4 *1 (-292 *2)) (-4 *2 (-1238)) (-4 *2 (-1121))))
- ((*1 *1 *2 *1)
-  (-12 (-5 *2 (-1 (-112) *3)) (-4 *1 (-292 *3)) (-4 *3 (-1238))))
- ((*1 *2 *3 *1)
-  (|partial| -12 (-4 *1 (-622 *3 *2)) (-4 *3 (-1121)) (-4 *2 (-1121))))
- ((*1 *1 *2 *1 *3)
-  (-12 (-5 *2 (-1 (-112) *4)) (-5 *3 (-576)) (-4 *4 (-1121))
-   (-5 *1 (-749 *4))))
- ((*1 *1 *2 *1 *3)
-  (-12 (-5 *3 (-576)) (-5 *1 (-749 *2)) (-4 *2 (-1121))))
- ((*1 *1 *2 *1)
-  (-12 (-5 *2 (-1161 *3 *4)) (-4 *3 (-13 (-1121) (-34)))
-   (-4 *4 (-13 (-1121) (-34))) (-5 *1 (-1162 *3 *4))))) 
-(((*1 *2 *1 *1)
-  (-12 (-5 *2 (-656 (-794 *3))) (-5 *1 (-794 *3)) (-4 *3 (-568))
-   (-4 *3 (-1070))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-360)) (-5 *2 (-977 (-1193 *4))) (-5 *1 (-368 *4))
-   (-5 *3 (-1193 *4))))) 
-(((*1 *1 *1 *2)
-  (-12 (-5 *2 (-1179)) (-4 *1 (-375 *3 *4)) (-4 *3 (-1121))
-   (-4 *4 (-1121))))) 
+(((*1 *1 *2)
+  (|partial| -12 (-5 *2 (-656 *6)) (-4 *6 (-1086 *3 *4 *5))
+      (-4 *3 (-568)) (-4 *4 (-805)) (-4 *5 (-861))
+      (-5 *1 (-1301 *3 *4 *5 *6))))
+ ((*1 *1 *2 *3 *4)
+  (|partial| -12 (-5 *2 (-656 *8)) (-5 *3 (-1 (-112) *8 *8))
+      (-5 *4 (-1 *8 *8 *8)) (-4 *8 (-1086 *5 *6 *7)) (-4 *5 (-568))
+      (-4 *6 (-805)) (-4 *7 (-861)) (-5 *1 (-1301 *5 *6 *7 *8))))) 
+(((*1 *2 *3 *4 *5)
+  (|partial| -12 (-5 *5 (-1288 (-656 *3))) (-4 *4 (-317))
+      (-5 *2 (-656 *3)) (-5 *1 (-467 *4 *3)) (-4 *3 (-1264 *4))))) 
+(((*1 *2 *1) (-12 (-5 *1 (-1047 *2)) (-4 *2 (-1238))))) 
+(((*1 *2 *3 *2)
+  (-12 (-5 *2 (-1178 *3)) (-4 *3 (-374)) (-4 *3 (-1070))
+   (-5 *1 (-1181 *3))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-326 (-227))) (-5 *2 (-419 (-576))) (-5 *1 (-315))))) 
-(((*1 *2 *1)
-  (-12 (-4 *1 (-336 *3 *4)) (-4 *3 (-1070)) (-4 *4 (-804))
-   (-5 *2 (-656 *3))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-393 *3 *4)) (-4 *3 (-1070)) (-4 *4 (-1121))
-   (-5 *2 (-656 *3))))
- ((*1 *2 *1)
-  (-12 (-5 *2 (-1178 *3)) (-5 *1 (-608 *3)) (-4 *3 (-1070))))
- ((*1 *2 *1)
-  (-12 (-5 *2 (-656 *3)) (-5 *1 (-747 *3 *4)) (-4 *3 (-1070))
-   (-4 *4 (-738))))
- ((*1 *2 *1) (-12 (-4 *1 (-866 *3)) (-4 *3 (-1070)) (-5 *2 (-656 *3))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-1279 *3)) (-4 *3 (-1070)) (-5 *2 (-1178 *3))))) 
-(((*1 *1 *1 *1) (-12 (-4 *1 (-668 *2)) (-4 *2 (-1070)) (-4 *2 (-374))))
- ((*1 *2 *2 *2 *3)
-  (-12 (-5 *3 (-1 *4 *4)) (-4 *4 (-374)) (-5 *1 (-671 *4 *2))
-   (-4 *2 (-668 *4))))) 
+  (-12 (-14 *4 (-656 (-1197))) (-14 *5 (-783))
+   (-5 *2
+    (-656
+     (-516 (-419 (-576)) (-245 *5 (-783)) (-878 *4)
+      (-253 *4 (-419 (-576))))))
+   (-5 *1 (-517 *4 *5))
+   (-5 *3
+    (-516 (-419 (-576)) (-245 *5 (-783)) (-878 *4)
+     (-253 *4 (-419 (-576)))))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-1197)) (-5 *2 (-1293)) (-5 *1 (-1200))))) 
+(((*1 *1 *1 *1) (-5 *1 (-876)))) 
+(((*1 *2 *1) (-12 (-5 *2 (-656 (-1197))) (-5 *1 (-837))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-656 (-971 (-576)))) (-5 *1 (-449))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-1197)) (-5 *4 (-701 (-227))) (-5 *2 (-1125))
+   (-5 *1 (-771))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-1197)) (-5 *4 (-701 (-576))) (-5 *2 (-1125))
+   (-5 *1 (-771))))) 
 (((*1 *2 *1)
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+ ((*1 *2 *3 *3)
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+   (-4 *3 (-317))))) 
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+(((*1 *2 *3)
+  (|partial| -12
+      (-5 *3
+       (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227)))
+        (|:| -2951 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
+        (|:| |relerr| (-227))))
+      (-5 *2 (-2 (|:| -1757 (-115)) (|:| |w| (-227)))) (-5 *1 (-206))))) 
+(((*1 *2 *2 *1)
+  (-12 (-5 *2 (-1312 *3 *4)) (-4 *1 (-385 *3 *4)) (-4 *3 (-861))
+   (-4 *4 (-174))))
+ ((*1 *1 *1 *1) (|partial| -12 (-4 *1 (-397 *2)) (-4 *2 (-1121))))
+ ((*1 *1 *1 *2) (|partial| -12 (-5 *1 (-831 *2)) (-4 *2 (-861))))
+ ((*1 *1 *1 *1)
+  (-12 (-4 *1 (-1305 *2 *3)) (-4 *2 (-861)) (-4 *3 (-1070))))
+ ((*1 *1 *1 *2)
+  (-12 (-5 *2 (-831 *3)) (-4 *1 (-1305 *3 *4)) (-4 *3 (-861))
+   (-4 *4 (-1070))))
+ ((*1 *1 *1 *2)
+  (-12 (-4 *1 (-1305 *2 *3)) (-4 *2 (-861)) (-4 *3 (-1070))))) 
+(((*1 *1 *2 *1)
+  (-12 (-5 *2 (-1 (-576) (-576))) (-5 *1 (-372 *3)) (-4 *3 (-1121))))
+ ((*1 *1 *2 *1)
+  (-12 (-5 *2 (-1 (-783) (-783))) (-4 *1 (-397 *3)) (-4 *3 (-1121))))
+ ((*1 *1 *2 *1)
+  (-12 (-5 *2 (-1 *4 *4)) (-4 *4 (-23)) (-14 *5 *4)
+   (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1121))))) 
+(((*1 *1 *2)
+  (-12 (-5 *2 (-940)) (-4 *1 (-243 *3 *4)) (-4 *4 (-1070))
+   (-4 *4 (-1238))))
+ ((*1 *1 *2)
+  (-12 (-14 *3 (-656 (-1197))) (-4 *4 (-174))
+   (-4 *5 (-243 (-3503 *3) (-783)))
+   (-14 *6
+    (-1 (-112) (-2 (|:| -3224 *2) (|:| -3422 *5))
+     (-2 (|:| -3224 *2) (|:| -3422 *5))))
+   (-5 *1 (-473 *3 *4 *2 *5 *6 *7)) (-4 *2 (-861))
+   (-4 *7 (-968 *4 *5 (-878 *3)))))
+ ((*1 *2 *2) (-12 (-5 *2 (-962 (-227))) (-5 *1 (-1234))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-173))))) 
 (((*1 *1 *1) (-4 *1 (-248)))
  ((*1 *1 *1)
   (-12 (-4 *2 (-174)) (-5 *1 (-299 *2 *3 *4 *5 *6 *7))
@@ -13180,7 +13120,7 @@
    (-14 *6 (-1 (-3 *4 "failed") *4 *4))
    (-14 *7 (-1 (-3 *3 "failed") *3 *3 *4))))
  ((*1 *1 *1)
-  (-2758 (-12 (-5 *1 (-304 *2)) (-4 *2 (-374)) (-4 *2 (-1238)))
+  (-2760 (-12 (-5 *1 (-304 *2)) (-4 *2 (-374)) (-4 *2 (-1238)))
    (-12 (-5 *1 (-304 *2)) (-4 *2 (-485)) (-4 *2 (-1238)))))
  ((*1 *1 *1) (-4 *1 (-485)))
  ((*1 *2 *2) (-12 (-5 *2 (-1288 *3)) (-4 *3 (-360)) (-5 *1 (-540 *3))))
@@ -13190,93 +13130,93 @@
    (-14 *6 (-1 (-3 *2 "failed") *2 *2 *3))))
  ((*1 *1 *1) (-12 (-4 *1 (-809 *2)) (-4 *2 (-174)) (-4 *2 (-374))))) 
 (((*1 *2 *3)
-  (-12
-   (-5 *3
-    (-2 (|:| |lcmfij| *5) (|:| |totdeg| (-783)) (|:| |poli| *2)
-     (|:| |polj| *2)))
-   (-4 *5 (-805)) (-4 *2 (-968 *4 *5 *6)) (-5 *1 (-461 *4 *5 *6 *2))
-   (-4 *4 (-464)) (-4 *6 (-861))))) 
-(((*1 *2 *2)
-  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
-   (-4 *2 (-13 (-442 *3) (-1023)))))) 
-(((*1 *2 *3)
-  (-12 (-4 *1 (-353 *4 *3 *5)) (-4 *4 (-1242)) (-4 *3 (-1264 *4))
-   (-4 *5 (-1264 (-419 *3))) (-5 *2 (-112))))
+  (-12 (-5 *3 (-940)) (-5 *2 (-1193 *4)) (-5 *1 (-368 *4))
+   (-4 *4 (-360))))) 
+(((*1 *1) (-5 *1 (-142)))) 
+(((*1 *2 *1 *3 *3)
+  (-12 (|has| *1 (-6 -4466)) (-4 *1 (-616 *3 *4)) (-4 *3 (-1121))
+   (-4 *4 (-1238)) (-5 *2 (-1293))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-1197)) (-5 *2 (-1293)) (-5 *1 (-1200))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-1201))))) 
+(((*1 *2 *3 *4 *4 *4 *3)
+  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
+   (-5 *1 (-763))))) 
+(((*1 *2 *3 *3)
+  (-12 (-5 *3 (-1261 *5 *4)) (-4 *4 (-832)) (-14 *5 (-1197))
+   (-5 *2 (-576)) (-5 *1 (-1135 *4 *5))))) 
+(((*1 *1 *2 *3 *3 *3 *4)
+  (-12 (-4 *4 (-374)) (-4 *3 (-1264 *4)) (-4 *5 (-1264 (-419 *3)))
+   (-4 *1 (-346 *4 *3 *5 *2)) (-4 *2 (-353 *4 *3 *5))))
+ ((*1 *1 *2 *2 *3)
+  (-12 (-5 *3 (-576)) (-4 *2 (-374)) (-4 *4 (-1264 *2))
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+ ((*1 *1 *2 *2)
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+ ((*1 *1 *2)
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+  (-12 (-5 *2 (-425 *4 (-419 *4) *5 *6)) (-4 *4 (-1264 *3))
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+ ((*1 *1 *2 *3)
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+(((*1 *2 *1 *3)
+  (|partial| -12 (-5 *3 (-1197)) (-4 *4 (-1070)) (-4 *4 (-1121))
+      (-5 *2 (-2 (|:| |var| (-624 *1)) (|:| -3422 (-576))))
+      (-4 *1 (-442 *4))))
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+  (|partial| -12 (-5 *3 (-115)) (-4 *4 (-1070)) (-4 *4 (-1121))
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+ ((*1 *2 *1)
+  (|partial| -12 (-4 *3 (-1133)) (-4 *3 (-1121))
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+      (-4 *1 (-442 *3))))
+ ((*1 *2 *1)
+  (|partial| -12 (-5 *2 (-2 (|:| |val| (-907 *3)) (|:| -3422 (-783))))
+      (-5 *1 (-907 *3)) (-4 *3 (-1121))))
+ ((*1 *2 *1)
+  (|partial| -12 (-4 *1 (-968 *3 *4 *5)) (-4 *3 (-1070)) (-4 *4 (-805))
+      (-4 *5 (-861)) (-5 *2 (-2 (|:| |var| *5) (|:| -3422 (-783))))))
  ((*1 *2 *3)
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-   (-5 *7 (-3 (|:| |fn| (-400)) (|:| |fp| (-87 BDYVAL))))
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-(((*1 *2 *2 *3)
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-(((*1 *2 *3)
-  (-12 (-5 *2 (-624 *4)) (-5 *1 (-623 *3 *4)) (-4 *3 (-1121))
-   (-4 *4 (-1121))))) 
+  (|partial| -12 (-4 *4 (-805)) (-4 *5 (-861)) (-4 *6 (-1070))
+      (-4 *7 (-968 *6 *4 *5))
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+      (-5 *1 (-969 *4 *5 *6 *7 *3))
+      (-4 *3
+       (-13 (-374)
+        (-10 -8 (-15 -3570 ($ *7)) (-15 -1570 (*7 $))
+         (-15 -1581 (*7 $)))))))) 
 (((*1 *2 *2)
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-(((*1 *2 *1)
-  (-12 (-5 *2 (-173)) (-5 *1 (-1185 *3 *4)) (-14 *3 (-940))
-   (-4 *4 (-1070))))) 
+  (-12
+   (-5 *2
+    (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227)))
+     (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227))))
+     (|:| |ub| (-656 (-855 (-227))))))
+   (-5 *1 (-276))))) 
+(((*1 *2 *2 *3)
+  (|partial| -12 (-5 *2 (-419 (-971 *4))) (-5 *3 (-1197))
+      (-4 *4 (-13 (-568) (-1059 (-576)) (-148))) (-5 *1 (-582 *4))))) 
 (((*1 *1 *2 *2)
   (-12
    (-5 *2
-    (-3 (|:| I (-326 (-576))) (|:| -1959 (-326 (-390)))
+    (-3 (|:| I (-326 (-576))) (|:| -1962 (-326 (-390)))
      (|:| CF (-326 (-171 (-390)))) (|:| |switch| (-1196))))
    (-5 *1 (-1196))))) 
-(((*1 *2 *1)
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-   (-5 *2 (-419 (-576)))))
- ((*1 *2 *1)
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-   (-4 *3 (-568))))
- ((*1 *2 *1) (-12 (-4 *1 (-557)) (-5 *2 (-419 (-576)))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-809 *3)) (-4 *3 (-174)) (-4 *3 (-557))
-   (-5 *2 (-419 (-576)))))
- ((*1 *2 *1)
-  (-12 (-5 *2 (-419 (-576))) (-5 *1 (-845 *3)) (-4 *3 (-557))
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- ((*1 *2 *1)
-  (-12 (-5 *2 (-419 (-576))) (-5 *1 (-855 *3)) (-4 *3 (-557))
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- ((*1 *2 *1)
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-   (-5 *2 (-419 (-576)))))
- ((*1 *2 *3)
-  (-12 (-5 *2 (-419 (-576))) (-5 *1 (-1029 *3)) (-4 *3 (-1059 *2))))) 
-(((*1 *1 *2) (-12 (-5 *2 (-1179)) (-5 *1 (-591))))) 
-(((*1 *2 *3 *4 *5 *6 *3 *3 *3 *3 *6 *3 *7 *8)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *5 (-112))
-   (-5 *6 (-227)) (-5 *7 (-3 (|:| |fn| (-400)) (|:| |fp| (-68 APROD))))
-   (-5 *8 (-3 (|:| |fn| (-400)) (|:| |fp| (-73 MSOLVE))))
-   (-5 *2 (-1056)) (-5 *1 (-768))))) 
-(((*1 *2 *3 *3 *3 *4 *4 *5 *5 *5 *3 *5 *5 *3 *6 *3 *3 *3)
-  (-12 (-5 *5 (-701 (-227))) (-5 *6 (-701 (-576))) (-5 *3 (-576))
-   (-5 *4 (-227)) (-5 *2 (-1056)) (-5 *1 (-764))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-448))))) 
+(((*1 *2)
+  (-12 (-4 *4 (-174)) (-5 *2 (-112)) (-5 *1 (-377 *3 *4))
+   (-4 *3 (-378 *4))))
+ ((*1 *2) (-12 (-4 *1 (-378 *3)) (-4 *3 (-174)) (-5 *2 (-112))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-833)) (-5 *4 (-52)) (-5 *2 (-1293)) (-5 *1 (-843))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-962 *2)) (-5 *1 (-1003 *2)) (-4 *2 (-1070))))) 
 (((*1 *1 *2) (-12 (-5 *2 (-400)) (-5 *1 (-644))))) 
 (((*1 *2 *3)
   (-12 (-5 *3 (-1197))
@@ -13312,24 +13252,52 @@
  ((*1 *1 *2 *3)
   (-12 (-5 *2 (-419 (-576))) (-4 *4 (-1070)) (-4 *1 (-1271 *4 *3))
    (-4 *3 (-1248 *4))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-2 (|:| -1828 (-1193 *6)) (|:| -4210 (-576)))))
-   (-4 *6 (-317)) (-4 *4 (-805)) (-4 *5 (-861)) (-5 *2 (-576))
-   (-5 *1 (-754 *4 *5 *6 *7)) (-4 *7 (-968 *6 *4 *5))))) 
-(((*1 *1 *1)
-  (-12 (-5 *1 (-225 *2 *3)) (-4 *2 (-13 (-1070) (-861)))
-   (-14 *3 (-656 (-1197)))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-656 *2)) (-4 *2 (-442 *4)) (-5 *1 (-159 *4 *2))
-   (-4 *4 (-568))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-576)) (-5 *1 (-888))))
+(((*1 *2 *2)
+  (-12 (-4 *3 (-374)) (-4 *4 (-384 *3)) (-4 *5 (-384 *3))
+   (-5 *1 (-533 *3 *4 *5 *2)) (-4 *2 (-699 *3 *4 *5))))
  ((*1 *2 *3)
-  (-12 (-5 *3 (-962 *2)) (-5 *1 (-1003 *2)) (-4 *2 (-1070))))) 
-(((*1 *1 *1)
-  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
-(((*1 *2 *2) (-12 (-5 *1 (-980 *2)) (-4 *2 (-557))))) 
-(((*1 *2 *3 *3) (-12 (-5 *3 (-576)) (-5 *2 (-112)) (-5 *1 (-565))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-809 *2)) (-4 *2 (-174))))) 
+  (-12 (-4 *4 (-568)) (-4 *5 (-384 *4)) (-4 *6 (-384 *4))
+   (-4 *7 (-1013 *4)) (-4 *2 (-699 *7 *8 *9))
+   (-5 *1 (-534 *4 *5 *6 *3 *7 *8 *9 *2)) (-4 *3 (-699 *4 *5 *6))
+   (-4 *8 (-384 *7)) (-4 *9 (-384 *7))))
+ ((*1 *1 *1)
+  (-12 (-4 *1 (-699 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-384 *2))
+   (-4 *4 (-384 *2)) (-4 *2 (-317))))
+ ((*1 *2 *2)
+  (-12 (-4 *3 (-317)) (-4 *3 (-174)) (-4 *4 (-384 *3))
+   (-4 *5 (-384 *3)) (-5 *1 (-700 *3 *4 *5 *2))
+   (-4 *2 (-699 *3 *4 *5))))
+ ((*1 *2 *2 *3)
+  (-12 (-5 *2 (-701 *3)) (-4 *3 (-317)) (-5 *1 (-712 *3))))
+ ((*1 *1 *1)
+  (-12 (-4 *1 (-1074 *2 *3 *4 *5 *6)) (-4 *4 (-1070))
+   (-4 *5 (-243 *3 *4)) (-4 *6 (-243 *2 *4)) (-4 *4 (-317))))) 
+(((*1 *1 *2 *3 *1)
+  (-12 (-5 *2 (-907 *4)) (-4 *4 (-1121)) (-5 *1 (-904 *4 *3))
+   (-4 *3 (-1121))))) 
+(((*1 *2 *3 *2)
+  (-12 (-5 *2 (-390)) (-5 *3 (-656 (-270))) (-5 *1 (-268))))
+ ((*1 *1 *2) (-12 (-5 *2 (-390)) (-5 *1 (-270))))) 
+(((*1 *2 *3 *3 *4 *5 *5 *3)
+  (-12 (-5 *3 (-576)) (-5 *4 (-1179)) (-5 *5 (-701 (-227)))
+   (-5 *2 (-1056)) (-5 *1 (-759))))) 
+(((*1 *2 *3 *4 *5 *5 *2)
+  (|partial| -12 (-5 *2 (-112)) (-5 *3 (-971 *6)) (-5 *4 (-1197))
+      (-5 *5 (-855 *7))
+      (-4 *6 (-13 (-464) (-1059 (-576)) (-651 (-576))))
+      (-4 *7 (-13 (-1223) (-29 *6))) (-5 *1 (-226 *6 *7))))
+ ((*1 *2 *3 *4 *4 *2)
+  (|partial| -12 (-5 *2 (-112)) (-5 *3 (-1193 *6)) (-5 *4 (-855 *6))
+      (-4 *6 (-13 (-1223) (-29 *5)))
+      (-4 *5 (-13 (-464) (-1059 (-576)) (-651 (-576))))
+      (-5 *1 (-226 *5 *6))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1223)))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-390)) (-5 *2 (-227)) (-5 *1 (-315))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-783)) (-5 *1 (-1185 *3 *4)) (-14 *3 (-940))
+   (-4 *4 (-1070))))) 
 (((*1 *2 *1)
   (|partial| -12 (-5 *2 (-1 (-548) (-656 (-548)))) (-5 *1 (-115))))
  ((*1 *1 *1 *2) (-12 (-5 *2 (-1 (-548) (-656 (-548)))) (-5 *1 (-115))))
@@ -13385,250 +13353,69 @@
   (-12 (-5 *3 (-783)) (-4 *1 (-919 *2)) (-4 *2 (-1121))))
  ((*1 *1 *1 *2)
   (-12 (-5 *2 (-656 *3)) (-4 *1 (-919 *3)) (-4 *3 (-1121))))) 
-(((*1 *2 *2) (|partial| -12 (-4 *1 (-1004 *2)) (-4 *2 (-1223))))) 
-(((*1 *2 *3 *4 *5 *6)
-  (-12 (-5 *5 (-1 (-598 *3) *3 (-1197)))
-   (-5 *6
-    (-1 (-3 (-2 (|:| |special| *3) (|:| |integrand| *3)) "failed") *3
-     (-1197)))
-   (-4 *3 (-294)) (-4 *3 (-641)) (-4 *3 (-1059 *4)) (-4 *3 (-442 *7))
-   (-5 *4 (-1197)) (-4 *7 (-626 (-907 (-576)))) (-4 *7 (-464))
-   (-4 *7 (-901 (-576))) (-4 *7 (-1121)) (-5 *2 (-598 *3))
-   (-5 *1 (-585 *7 *3))))) 
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 (((*1 *2 *3)
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   (-12 (-5 *3 (-781)) (-5 *4 (-1084))
    (-5 *2
-    (-2 (|:| -1973 (-390)) (|:| -2627 (-1179))
+    (-2 (|:| -2012 (-390)) (|:| -2629 (-1179))
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    (-5 *4
     (-2 (|:| |fn| (-326 (-227)))
-     (|:| -3343 (-656 (-1115 (-855 (-227))))) (|:| |abserr| (-227))
+     (|:| -2951 (-656 (-1115 (-855 (-227))))) (|:| |abserr| (-227))
      (|:| |relerr| (-227))))
    (-5 *2
-    (-2 (|:| -1973 (-390)) (|:| |explanations| (-1179))
+    (-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))
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   (-12 (-4 *1 (-799)) (-5 *3 (-1084))
    (-5 *4
     (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227)))
-     (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
+     (|:| -2951 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
      (|:| |relerr| (-227))))
    (-5 *2
-    (-2 (|:| -1973 (-390)) (|:| |explanations| (-1179))
+    (-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))
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   (-12 (-4 *1 (-812)) (-5 *3 (-1084))
@@ -13637,41 +13424,41 @@
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      (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227)))
      (|:| |abserr| (-227)) (|:| |relerr| (-227))))
-   (-5 *2 (-2 (|:| -1973 (-390)) (|:| |explanations| (-1179))))))
+   (-5 *2 (-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))))))
  ((*1 *2 *3)
   (-12 (-5 *3 (-820))
    (-5 *2
-    (-2 (|:| -1973 (-390)) (|:| -2627 (-1179))
+    (-2 (|:| -2012 (-390)) (|:| -2629 (-1179))
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   (-12 (-5 *3 (-820)) (-5 *4 (-1084))
    (-5 *2
-    (-2 (|:| -1973 (-390)) (|:| -2627 (-1179))
+    (-2 (|:| -2012 (-390)) (|:| -2629 (-1179))
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   (-12 (-4 *1 (-851)) (-5 *3 (-1084))
    (-5 *4
-    (-2 (|:| |fn| (-326 (-227))) (|:| -3539 (-656 (-227)))
+    (-2 (|:| |fn| (-326 (-227))) (|:| -3540 (-656 (-227)))
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      (|:| |ub| (-656 (-855 (-227))))))
-   (-5 *2 (-2 (|:| -1973 (-390)) (|:| |explanations| (-1179))))))
+   (-5 *2 (-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))))))
  ((*1 *2 *3)
   (-12 (-5 *3 (-853))
    (-5 *2
-    (-2 (|:| -1973 (-390)) (|:| -2627 (-1179))
+    (-2 (|:| -2012 (-390)) (|:| -2629 (-1179))
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   (-12 (-5 *3 (-853)) (-5 *4 (-1084))
    (-5 *2
-    (-2 (|:| -1973 (-390)) (|:| -2627 (-1179))
+    (-2 (|:| -2012 (-390)) (|:| -2629 (-1179))
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    (-5 *1 (-852))))
  ((*1 *2 *3 *4)
@@ -13685,19 +13472,118 @@
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+   (-5 *2 (-2 (|:| -2012 (-390)) (|:| |explanations| (-1179))))))
  ((*1 *2 *3)
   (-12 (-5 *3 (-915))
    (-5 *2
-    (-2 (|:| -1973 (-390)) (|:| -2627 (-1179))
+    (-2 (|:| -2012 (-390)) (|:| -2629 (-1179))
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    (-5 *2
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+    (-2 (|:| -2012 (-390)) (|:| -2629 (-1179))
      (|:| |explanations| (-656 (-1179)))))
    (-5 *1 (-914))))) 
+(((*1 *2 *3 *3 *3 *4 *5 *3 *6 *6 *3)
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+   (-5 *4 (-227)) (-5 *2 (-1056)) (-5 *1 (-767))))) 
+(((*1 *2 *3)
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+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *4 (-304 *3)) (-5 *5 (-783))
+   (-4 *3 (-13 (-27) (-1223) (-442 *6)))
+   (-4 *6 (-13 (-464) (-1059 (-576)) (-651 (-576)))) (-5 *2 (-52))
+   (-5 *1 (-325 *6 *3))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-1 *6 (-576))) (-5 *4 (-304 *6))
+   (-4 *6 (-13 (-27) (-1223) (-442 *5)))
+   (-4 *5 (-13 (-568) (-1059 (-576)) (-651 (-576)))) (-5 *2 (-52))
+   (-5 *1 (-471 *5 *6))))
+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *4 (-1197)) (-5 *5 (-304 *3))
+   (-4 *3 (-13 (-27) (-1223) (-442 *6)))
+   (-4 *6 (-13 (-568) (-1059 (-576)) (-651 (-576)))) (-5 *2 (-52))
+   (-5 *1 (-471 *6 *3))))
+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *3 (-1 *7 (-576))) (-5 *4 (-304 *7)) (-5 *5 (-1255 (-783)))
+   (-4 *7 (-13 (-27) (-1223) (-442 *6)))
+   (-4 *6 (-13 (-568) (-1059 (-576)) (-651 (-576)))) (-5 *2 (-52))
+   (-5 *1 (-471 *6 *7))))
+ ((*1 *2 *3 *4 *5 *6)
+  (-12 (-5 *4 (-1197)) (-5 *5 (-304 *3)) (-5 *6 (-1255 (-783)))
+   (-4 *3 (-13 (-27) (-1223) (-442 *7)))
+   (-4 *7 (-13 (-568) (-1059 (-576)) (-651 (-576)))) (-5 *2 (-52))
+   (-5 *1 (-471 *7 *3))))
+ ((*1 *2 *1)
+  (-12 (-4 *1 (-1250 *3 *2)) (-4 *3 (-1070)) (-4 *2 (-1279 *3))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-946))))) 
+(((*1 *2 *3 *1 *4 *4 *4 *4 *4)
+  (-12 (-5 *4 (-112)) (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
+   (-5 *2 (-656 (-1048 *5 *6 *7 *3))) (-5 *1 (-1048 *5 *6 *7 *3))
+   (-4 *3 (-1086 *5 *6 *7))))
+ ((*1 *1 *2 *1)
+  (-12 (-5 *2 (-656 *6)) (-4 *1 (-1092 *3 *4 *5 *6)) (-4 *3 (-464))
+   (-4 *4 (-805)) (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5))))
+ ((*1 *1 *2 *1)
+  (-12 (-4 *1 (-1092 *3 *4 *5 *2)) (-4 *3 (-464)) (-4 *4 (-805))
+   (-4 *5 (-861)) (-4 *2 (-1086 *3 *4 *5))))
+ ((*1 *2 *3 *1 *4 *4 *4 *4 *4)
+  (-12 (-5 *4 (-112)) (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
+   (-5 *2 (-656 (-1167 *5 *6 *7 *3))) (-5 *1 (-1167 *5 *6 *7 *3))
+   (-4 *3 (-1086 *5 *6 *7))))) 
+(((*1 *2 *2) (|partial| -12 (-5 *1 (-599 *2)) (-4 *2 (-557))))) 
+(((*1 *2 *3 *3)
+  (-12 (-4 *2 (-568)) (-4 *2 (-464)) (-5 *1 (-990 *2 *3))
+   (-4 *3 (-1264 *2))))) 
+(((*1 *1) (-4 *1 (-360)))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-656 *5)) (-4 *5 (-442 *4)) (-4 *4 (-13 (-568) (-148)))
+   (-5 *2
+    (-2 (|:| |primelt| *5) (|:| |poly| (-656 (-1193 *5)))
+     (|:| |prim| (-1193 *5))))
+   (-5 *1 (-444 *4 *5))))
+ ((*1 *2 *3 *3)
+  (-12 (-4 *4 (-13 (-568) (-148)))
+   (-5 *2
+    (-2 (|:| |primelt| *3) (|:| |pol1| (-1193 *3))
+     (|:| |pol2| (-1193 *3)) (|:| |prim| (-1193 *3))))
+   (-5 *1 (-444 *4 *3)) (-4 *3 (-27)) (-4 *3 (-442 *4))))
+ ((*1 *2 *3 *4 *3 *4)
+  (-12 (-5 *3 (-971 *5)) (-5 *4 (-1197)) (-4 *5 (-13 (-374) (-148)))
+   (-5 *2
+    (-2 (|:| |coef1| (-576)) (|:| |coef2| (-576))
+     (|:| |prim| (-1193 *5))))
+   (-5 *1 (-979 *5))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 (-971 *5))) (-5 *4 (-656 (-1197)))
+   (-4 *5 (-13 (-374) (-148)))
+   (-5 *2
+    (-2 (|:| -1714 (-656 (-576))) (|:| |poly| (-656 (-1193 *5)))
+     (|:| |prim| (-1193 *5))))
+   (-5 *1 (-979 *5))))
+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *3 (-656 (-971 *6))) (-5 *4 (-656 (-1197))) (-5 *5 (-1197))
+   (-4 *6 (-13 (-374) (-148)))
+   (-5 *2
+    (-2 (|:| -1714 (-656 (-576))) (|:| |poly| (-656 (-1193 *6)))
+     (|:| |prim| (-1193 *6))))
+   (-5 *1 (-979 *6))))) 
+(((*1 *2 *2)
+  (|partial| -12 (-5 *2 (-1193 *3)) (-4 *3 (-360)) (-5 *1 (-368 *3))))) 
 (((*1 *2)
   (-12 (-14 *4 (-783)) (-4 *5 (-1238)) (-5 *2 (-135))
    (-5 *1 (-242 *3 *4 *5)) (-4 *3 (-243 *4 *5))))
@@ -13715,25 +13601,89 @@
    (-5 *2 (-576)) (-5 *1 (-516 *4 *5 *6 *7)) (-4 *7 (-968 *4 *5 *6))))
  ((*1 *2 *1) (-12 (-4 *1 (-1001 *3)) (-4 *3 (-1070)) (-5 *2 (-940))))
  ((*1 *2) (-12 (-4 *1 (-1295 *3)) (-4 *3 (-374)) (-5 *2 (-135))))) 
-(((*1 *1 *2 *1)
-  (-12 (-5 *2 (-1 (-112) *3)) (|has| *1 (-6 -4464)) (-4 *1 (-152 *3))
-   (-4 *3 (-1238))))
- ((*1 *1 *2 *1)
-  (-12 (-5 *2 (-1 (-112) *3)) (-4 *3 (-1238)) (-5 *1 (-613 *3))))
- ((*1 *1 *2 *1)
-  (-12 (-5 *2 (-1 (-112) *3)) (-4 *1 (-686 *3)) (-4 *3 (-1238))))
- ((*1 *2 *1 *3)
-  (|partial| -12 (-4 *1 (-1231 *4 *5 *3 *2)) (-4 *4 (-568))
-      (-4 *5 (-805)) (-4 *3 (-861)) (-4 *2 (-1086 *4 *5 *3))))
- ((*1 *2 *1 *3)
-  (-12 (-5 *3 (-783)) (-5 *1 (-1235 *2)) (-4 *2 (-1238))))) 
+(((*1 *2)
+  (-12 (-4 *4 (-174)) (-5 *2 (-112)) (-5 *1 (-377 *3 *4))
+   (-4 *3 (-378 *4))))
+ ((*1 *2) (-12 (-4 *1 (-378 *3)) (-4 *3 (-174)) (-5 *2 (-112))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-907 *4)) (-4 *4 (-1121)) (-5 *2 (-1 (-112) *5))
+   (-5 *1 (-905 *4 *5)) (-4 *5 (-1238))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-1187))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-390)) (-5 *1 (-1290))))
+ ((*1 *2) (-12 (-5 *2 (-390)) (-5 *1 (-1290))))) 
+(((*1 *1 *2 *2 *2 *2) (-12 (-4 *1 (-1018 *2)) (-4 *2 (-174))))) 
+(((*1 *2 *1 *3 *3 *3)
+  (-12 (-5 *3 (-390)) (-5 *2 (-1293)) (-5 *1 (-1290))))) 
+(((*1 *2 *3 *3 *3 *3)
+  (-12 (-4 *4 (-464)) (-4 *3 (-805)) (-4 *5 (-861)) (-5 *2 (-112))
+   (-5 *1 (-461 *4 *3 *5 *6)) (-4 *6 (-968 *4 *3 *5))))) 
 (((*1 *1 *1 *2)
   (-12 (-5 *2 (-783)) (-4 *1 (-385 *3 *4)) (-4 *3 (-861))
    (-4 *4 (-174))))
  ((*1 *1 *1 *2)
   (-12 (-5 *2 (-783)) (-4 *1 (-1309 *3 *4)) (-4 *3 (-861))
    (-4 *4 (-1070))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *4 (-1 *7 *7)) (-4 *7 (-1264 *6))
+   (-4 *6 (-13 (-27) (-442 *5))) (-4 *5 (-13 (-568) (-1059 (-576))))
+   (-4 *8 (-1264 (-419 *7))) (-5 *2 (-598 *3))
+   (-5 *1 (-564 *5 *6 *7 *8 *3)) (-4 *3 (-353 *6 *7 *8))))) 
+(((*1 *1 *1 *2 *3)
+  (-12 (-5 *2 (-1197)) (-5 *3 (-390)) (-5 *1 (-1084))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-41 *3 *2))
+   (-4 *2
+    (-13 (-374) (-312)
+     (-10 -8 (-15 -1570 ((-1146 *3 (-624 $)) $))
+      (-15 -1581 ((-1146 *3 (-624 $)) $))
+      (-15 -3570 ($ (-1146 *3 (-624 $)))))))))) 
+(((*1 *2 *3)
+  (-12 (-5 *2 (-112)) (-5 *1 (-39 *3)) (-4 *3 (-1264 (-48)))))) 
+(((*1 *1 *1)
+  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-1141)) (-5 *1 (-340))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-419 (-576))) (-5 *2 (-227)) (-5 *1 (-315))))) 
 (((*1 *1 *1) (-12 (-4 *1 (-686 *2)) (-4 *2 (-1238))))) 
+(((*1 *2 *3 *2 *4 *5)
+  (-12 (-5 *2 (-656 *3)) (-5 *5 (-940)) (-4 *3 (-1264 *4))
+   (-4 *4 (-317)) (-5 *1 (-472 *4 *3))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-13 (-568) (-1059 (-576)))) (-5 *2 (-171 (-326 *4)))
+   (-5 *1 (-190 *4 *3)) (-4 *3 (-13 (-27) (-1223) (-442 (-171 *4))))))
+ ((*1 *2 *3)
+  (-12 (-4 *4 (-13 (-464) (-1059 (-576)) (-651 (-576))))
+   (-5 *2 (-171 *3)) (-5 *1 (-1227 *4 *3))
+   (-4 *3 (-13 (-27) (-1223) (-442 *4)))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-809 *2)) (-4 *2 (-174))))
+ ((*1 *2 *1) (-12 (-4 *1 (-1018 *2)) (-4 *2 (-174))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-656 (-656 (-783)))) (-5 *1 (-923 *3)) (-4 *3 (-1121))))) 
+(((*1 *2 *3 *4 *5)
+  (-12 (-5 *4 (-112)) (-4 *6 (-13 (-464) (-1059 (-576)) (-651 (-576))))
+   (-4 *3 (-13 (-27) (-1223) (-442 *6) (-10 -8 (-15 -3570 ($ *7)))))
+   (-4 *7 (-860))
+   (-4 *8
+    (-13 (-1266 *3 *7) (-374) (-1223)
+     (-10 -8 (-15 -2775 ($ $)) (-15 -1491 ($ $)))))
+   (-5 *2
+    (-3 (|:| |%series| *8)
+     (|:| |%problem| (-2 (|:| |func| (-1179)) (|:| |prob| (-1179))))))
+   (-5 *1 (-434 *6 *3 *7 *8 *9 *10)) (-5 *5 (-1179)) (-4 *9 (-1004 *8))
+   (-14 *10 (-1197))))) 
+(((*1 *2 *3 *4)
+  (-12 (-4 *5 (-1121)) (-4 *3 (-917 *5)) (-5 *2 (-1288 *3))
+   (-5 *1 (-704 *5 *3 *6 *4)) (-4 *6 (-384 *3))
+   (-4 *4 (-13 (-384 *5) (-10 -7 (-6 -4465))))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1023)))))) 
+(((*1 *2)
+  (-12 (-4 *3 (-805)) (-4 *4 (-861)) (-4 *2 (-928))
+   (-5 *1 (-469 *3 *4 *2 *5)) (-4 *5 (-968 *2 *3 *4))))
+ ((*1 *2)
+  (-12 (-4 *3 (-805)) (-4 *4 (-861)) (-4 *2 (-928))
+   (-5 *1 (-925 *2 *3 *4 *5)) (-4 *5 (-968 *2 *3 *4))))
+ ((*1 *2) (-12 (-4 *2 (-928)) (-5 *1 (-926 *2 *3)) (-4 *3 (-1264 *2))))) 
 (((*1 *2)
   (-12 (-4 *4 (-174)) (-5 *2 (-1193 (-971 *4))) (-5 *1 (-428 *3 *4))
    (-4 *3 (-429 *4))))
@@ -13744,13 +13694,60 @@
   (-12 (-5 *2 (-1193 (-419 (-971 *3)))) (-5 *1 (-465 *3 *4 *5 *6))
    (-4 *3 (-568)) (-4 *3 (-174)) (-14 *4 (-940))
    (-14 *5 (-656 (-1197))) (-14 *6 (-1288 (-701 *3)))))) 
-(((*1 *1 *1)
-  (-12 (-5 *1 (-1162 *2 *3)) (-4 *2 (-13 (-1121) (-34)))
-   (-4 *3 (-13 (-1121) (-34)))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-1155 *3)) (-4 *3 (-1070)) (-5 *2 (-112))))) 
+(((*1 *1 *1 *2) (-12 (-5 *2 (-1 (-876) (-876))) (-5 *1 (-115))))
+ ((*1 *1 *1 *2) (-12 (-5 *2 (-1 (-876) (-656 (-876)))) (-5 *1 (-115))))
+ ((*1 *2 *1)
+  (|partial| -12 (-5 *2 (-1 (-876) (-656 (-876)))) (-5 *1 (-115))))
+ ((*1 *2 *1)
+  (-12 (-5 *2 (-1293)) (-5 *1 (-216 *3))
+   (-4 *3
+    (-13 (-861)
+     (-10 -8 (-15 -2797 ((-1179) $ (-1197))) (-15 -1977 (*2 $))
+      (-15 -3420 (*2 $)))))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-406))))
+ ((*1 *2 *1 *3) (-12 (-5 *3 (-576)) (-5 *2 (-1293)) (-5 *1 (-406))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-514))))
+ ((*1 *2 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-722))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-1218))))
+ ((*1 *2 *1 *3) (-12 (-5 *3 (-576)) (-5 *2 (-1293)) (-5 *1 (-1218))))) 
+(((*1 *2 *3 *3 *4 *4 *4 *4 *3 *3 *3 *3 *5 *3 *6)
+  (-12 (-5 *3 (-576)) (-5 *5 (-701 (-227)))
+   (-5 *6 (-3 (|:| |fn| (-400)) (|:| |fp| (-70 APROD)))) (-5 *4 (-227))
+   (-5 *2 (-1056)) (-5 *1 (-768))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 *6)) (-5 *4 (-1197)) (-4 *6 (-442 *5))
+   (-4 *5 (-1121)) (-5 *2 (-656 (-624 *6))) (-5 *1 (-585 *5 *6))))) 
+(((*1 *1 *2 *1)
+  (-12 (-5 *2 (-1 (-112) *3)) (|has| *1 (-6 -4465)) (-4 *1 (-152 *3))
+   (-4 *3 (-1238))))
+ ((*1 *1 *2 *1)
+  (-12 (-5 *2 (-1 (-112) *3)) (-4 *3 (-1238)) (-5 *1 (-613 *3))))
+ ((*1 *1 *2 *1)
+  (-12 (-5 *2 (-1 (-112) *3)) (-4 *1 (-686 *3)) (-4 *3 (-1238))))
+ ((*1 *2 *1 *3)
+  (|partial| -12 (-4 *1 (-1231 *4 *5 *3 *2)) (-4 *4 (-568))
+      (-4 *5 (-805)) (-4 *3 (-861)) (-4 *2 (-1086 *4 *5 *3))))
+ ((*1 *2 *1 *3)
+  (-12 (-5 *3 (-783)) (-5 *1 (-1235 *2)) (-4 *2 (-1238))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1023)))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *4 (-656 (-656 *8))) (-5 *3 (-656 *8))
+   (-4 *8 (-968 *5 *7 *6)) (-4 *5 (-13 (-317) (-148)))
+   (-4 *6 (-13 (-861) (-626 (-1197)))) (-4 *7 (-805)) (-5 *2 (-112))
+   (-5 *1 (-943 *5 *6 *7 *8))))) 
+(((*1 *2 *2)
+  (-12 (-5 *2 (-962 *3)) (-4 *3 (-13 (-374) (-1223) (-1023)))
+   (-5 *1 (-178 *3))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-656 (-576))) (-5 *2 (-923 (-576))) (-5 *1 (-936))))
+ ((*1 *2 *3) (-12 (-5 *3 (-992)) (-5 *2 (-923 (-576))) (-5 *1 (-936))))) 
 (((*1 *2 *3)
   (-12
    (-5 *3
-    (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3539 (-656 (-227)))))
+    (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3540 (-656 (-227)))))
    (-5 *2 (-656 (-1197))) (-5 *1 (-276))))
  ((*1 *2 *3)
   (-12 (-5 *3 (-1193 *7)) (-4 *7 (-968 *6 *4 *5)) (-4 *4 (-805))
@@ -13772,7 +13769,7 @@
    (-5 *1 (-969 *4 *5 *6 *7 *3))
    (-4 *3
     (-13 (-374)
-     (-10 -8 (-15 -3569 ($ *7)) (-15 -1570 (*7 $)) (-15 -1581 (*7 $)))))))
+     (-10 -8 (-15 -3570 ($ *7)) (-15 -1570 (*7 $)) (-15 -1581 (*7 $)))))))
  ((*1 *2 *1)
   (-12 (-4 *1 (-994 *3 *4 *5)) (-4 *3 (-1070)) (-4 *4 (-804))
    (-4 *5 (-861)) (-5 *2 (-656 *5))))
@@ -13782,37 +13779,47 @@
  ((*1 *2 *3)
   (-12 (-5 *3 (-419 (-971 *4))) (-4 *4 (-568)) (-5 *2 (-656 (-1197)))
    (-5 *1 (-1064 *4))))) 
-(((*1 *2 *1 *1)
-  (-12 (-5 *2 (-2 (|:| -4004 *3) (|:| |coef2| (-794 *3))))
-   (-5 *1 (-794 *3)) (-4 *3 (-568)) (-4 *3 (-1070))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-1197)) (-5 *2 (-1293)) (-5 *1 (-1200))))
- ((*1 *2) (-12 (-5 *2 (-1293)) (-5 *1 (-1200))))) 
+(((*1 *1 *2 *3 *4)
+  (-12 (-5 *3 (-576)) (-5 *4 (-3 "nil" "sqfr" "irred" "prime"))
+   (-5 *1 (-430 *2)) (-4 *2 (-568))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-317)) (-5 *2 (-783))))) 
 (((*1 *1 *2 *1)
   (-12 (-5 *2 (-1 (-112) *3)) (-4 *3 (-1238)) (-5 *1 (-613 *3))))
  ((*1 *1 *2 *1)
   (-12 (-5 *2 (-1 (-112) *3)) (-4 *3 (-1238)) (-5 *1 (-1178 *3))))) 
-(((*1 *2 *3 *1)
-  (-12 (-5 *3 (-446))
-   (-5 *2
-    (-656
-     (-3 (|:| -2627 (-1197))
-      (|:| -2267 (-656 (-3 (|:| S (-1197)) (|:| P (-971 (-576)))))))))
-   (-5 *1 (-1201))))) 
-(((*1 *1 *1 *1) (-12 (-5 *1 (-985 *2)) (-4 *2 (-1121))))) 
-(((*1 *1 *1 *1 *1 *1)
-  (-12 (-4 *1 (-1086 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-805))
-   (-4 *4 (-861)) (-4 *2 (-568))))) 
+(((*1 *2 *2 *3) (-12 (-5 *2 (-576)) (-5 *3 (-783)) (-5 *1 (-573))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-701 (-419 (-971 *4)))) (-4 *4 (-464))
+   (-5 *2 (-656 (-3 (-419 (-971 *4)) (-1186 (-1197) (-971 *4)))))
+   (-5 *1 (-302 *4))))) 
+(((*1 *2 *2 *3)
+  (|partial| -12 (-5 *2 (-656 (-1193 *5))) (-5 *3 (-1193 *5))
+      (-4 *5 (-167 *4)) (-4 *4 (-557)) (-5 *1 (-150 *4 *5))))
+ ((*1 *2 *2 *3)
+  (|partial| -12 (-5 *2 (-656 *3)) (-4 *3 (-1264 *5))
+      (-4 *5 (-1264 *4)) (-4 *4 (-360)) (-5 *1 (-369 *4 *5 *3))))
+ ((*1 *2 *2 *3)
+  (|partial| -12 (-5 *2 (-656 (-1193 (-576)))) (-5 *3 (-1193 (-576)))
+      (-5 *1 (-584))))
+ ((*1 *2 *2 *3)
+  (|partial| -12 (-5 *2 (-656 (-1193 *1))) (-5 *3 (-1193 *1))
+      (-4 *1 (-928))))) 
 (((*1 *2 *3 *3)
   (-12 (-5 *3 (-783)) (-5 *2 (-1 (-390))) (-5 *1 (-1061))))) 
-(((*1 *2 *2)
-  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
-   (-4 *2 (-13 (-442 *3) (-1023)))))) 
+(((*1 *2 *2) (|partial| -12 (-4 *1 (-1004 *2)) (-4 *2 (-1223))))) 
+(((*1 *2 *2 *2)
+  (-12 (-5 *2 (-783))
+   (-4 *3 (-13 (-317) (-10 -8 (-15 -3921 ((-430 $) $)))))
+   (-4 *4 (-1264 *3)) (-5 *1 (-511 *3 *4 *5)) (-4 *5 (-421 *3 *4))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-783)) (-5 *4 (-576)) (-5 *1 (-457 *2)) (-4 *2 (-1070))))) 
 (((*1 *2 *1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-173))))
  ((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-1289))))
  ((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-1290))))) 
-(((*1 *2 *1)
-  (-12 (-5 *2 (-876)) (-5 *1 (-402 *3 *4 *5)) (-14 *3 (-783))
-   (-14 *4 (-783)) (-4 *5 (-174))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-783)) (-5 *2 (-1293)) (-5 *1 (-390))))) 
+(((*1 *2 *1 *3 *4 *4 *4 *4 *5 *5 *5 *5 *6 *5 *6 *5)
+  (-12 (-5 *3 (-940)) (-5 *4 (-227)) (-5 *5 (-576)) (-5 *6 (-888))
+   (-5 *2 (-1293)) (-5 *1 (-1289))))) 
 (((*1 *2 *3 *4 *2)
   (-12 (-5 *3 (-1193 (-419 (-1193 *2)))) (-5 *4 (-624 *2))
    (-4 *2 (-13 (-442 *5) (-27) (-1223)))
@@ -13829,46 +13836,53 @@
    (-4 *6 (-1070))
    (-4 *2
     (-13 (-374)
-     (-10 -8 (-15 -3569 ($ *7)) (-15 -1570 (*7 $)) (-15 -1581 (*7 $)))))
+     (-10 -8 (-15 -3570 ($ *7)) (-15 -1570 (*7 $)) (-15 -1581 (*7 $)))))
    (-5 *1 (-969 *5 *4 *6 *7 *2)) (-4 *7 (-968 *6 *5 *4))))
  ((*1 *2 *3 *4)
   (-12 (-5 *3 (-419 (-1193 (-419 (-971 *5))))) (-5 *4 (-1197))
    (-5 *2 (-419 (-971 *5))) (-5 *1 (-1064 *5)) (-4 *5 (-568))))) 
-(((*1 *2 *2)
-  (-12 (-4 *3 (-374)) (-4 *4 (-384 *3)) (-4 *5 (-384 *3))
-   (-5 *1 (-533 *3 *4 *5 *2)) (-4 *2 (-699 *3 *4 *5))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-378 *3)) (-4 *3 (-174)) (-5 *2 (-1193 *3))))) 
+(((*1 *2 *2 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1238))))) 
 (((*1 *1 *2 *1)
   (-12 (-5 *2 (-1 (-112) *3)) (-4 *3 (-1238)) (-5 *1 (-613 *3))))
  ((*1 *1 *2 *1)
   (-12 (-5 *2 (-1 (-112) *3)) (-4 *3 (-1238)) (-5 *1 (-1178 *3))))) 
-(((*1 *1)
-  (-12 (-4 *1 (-416)) (-2662 (|has| *1 (-6 -4455)))
-   (-2662 (|has| *1 (-6 -4447)))))
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+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *3 (-1 *5 *6 *5)) (-5 *4 (-977 *6)) (-4 *6 (-1238))
+   (-4 *5 (-1238)) (-5 *2 (-977 *5)) (-5 *1 (-976 *6 *5))))
+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *4 (-1 *3 *6 *3)) (-5 *5 (-1178 *6)) (-4 *6 (-1238))
+   (-4 *3 (-1238)) (-5 *2 (-1178 *3)) (-5 *1 (-1176 *6 *3))))
+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *3 (-1 *5 *6 *5)) (-5 *4 (-1288 *6)) (-4 *6 (-1238))
+   (-4 *5 (-1238)) (-5 *2 (-1288 *5)) (-5 *1 (-1287 *6 *5))))) 
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+(((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-834))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-565))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-112)) (-5 *1 (-841))))) 
 (((*1 *1 *2 *3)
   (-12 (-4 *1 (-47 *2 *3)) (-4 *2 (-1070)) (-4 *3 (-804))))
  ((*1 *1 *2 *3)
@@ -13876,10 +13890,10 @@
    (-4 *2 (-374)) (-14 *5 (-1014 *4 *2))))
  ((*1 *1 *2 *3)
   (-12 (-5 *3 (-725 *5 *6 *7)) (-4 *5 (-861))
-   (-4 *6 (-243 (-3502 *4) (-783)))
+   (-4 *6 (-243 (-3503 *4) (-783)))
    (-14 *7
-    (-1 (-112) (-2 (|:| -3223 *5) (|:| -4210 *6))
-     (-2 (|:| -3223 *5) (|:| -4210 *6))))
+    (-1 (-112) (-2 (|:| -3224 *5) (|:| -3422 *6))
+     (-2 (|:| -3224 *5) (|:| -3422 *6))))
    (-14 *4 (-656 (-1197))) (-4 *2 (-174))
    (-5 *1 (-473 *4 *2 *5 *6 *7 *8)) (-4 *8 (-968 *2 *6 (-878 *4)))))
  ((*1 *1 *2 *3)
@@ -13909,9 +13923,11 @@
  ((*1 *1 *1 *2 *3)
   (-12 (-4 *1 (-994 *4 *3 *2)) (-4 *4 (-1070)) (-4 *3 (-804))
    (-4 *2 (-861))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-656 (-1106))) (-5 *1 (-301))))) 
-(((*1 *2 *2 *2) (-12 (-5 *2 (-227)) (-5 *1 (-228))))
- ((*1 *2 *2 *2) (-12 (-5 *2 (-171 (-227))) (-5 *1 (-228))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-187)) (-5 *2 (-656 (-112)))))) 
+(((*1 *1 *1 *1 *2)
+  (-12 (-5 *2 (-1 *3 *3 *3 *3 *3)) (-4 *3 (-1121)) (-5 *1 (-103 *3))))
+ ((*1 *2 *1 *3)
+  (-12 (-5 *3 (-1 *2 *2 *2)) (-5 *1 (-103 *2)) (-4 *2 (-1121))))) 
 (((*1 *2 *3 *4)
   (-12 (-5 *4 (-940)) (-4 *6 (-568)) (-5 *2 (-656 (-326 *6)))
    (-5 *1 (-223 *5 *6)) (-5 *3 (-326 *6)) (-4 *5 (-1070))))
@@ -13937,75 +13953,72 @@
  ((*1 *2 *1)
   (-12 (-5 *2 (-1303 *3 *4)) (-5 *1 (-1312 *3 *4)) (-4 *3 (-861))
    (-4 *4 (-1070))))) 
-(((*1 *1 *1) (-5 *1 (-1084)))) 
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-   (-5 *1 (-1292))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 (-656 (-962 (-227))))) (-5 *4 (-656 (-270)))
-   (-5 *2 (-1289)) (-5 *1 (-1292))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-940)) (-5 *1 (-798))))) 
 (((*1 *1 *1 *1)
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-      (-4 *3 (-1264 *2)) (-4 *4 (-23)) (-14 *5 (-1 *3 *3 *4))
-      (-14 *6 (-1 (-3 *4 "failed") *4 *4))
-      (-14 *7 (-1 (-3 *3 "failed") *3 *3 *4))))
- ((*1 *1 *1 *1)
-  (|partial| -12 (-5 *1 (-723 *2 *3 *4 *5 *6)) (-4 *2 (-174))
-      (-4 *3 (-23)) (-14 *4 (-1 *2 *2 *3))
-      (-14 *5 (-1 (-3 *3 "failed") *3 *3))
-      (-14 *6 (-1 (-3 *2 "failed") *2 *2 *3))))
+  (-12 (-5 *1 (-137 *2 *3 *4)) (-14 *2 (-576)) (-14 *3 (-783))
+   (-4 *4 (-174))))
+ ((*1 *2 *2 *3)
+  (-12 (-5 *3 (-1197)) (-4 *4 (-568)) (-5 *1 (-159 *4 *2))
+   (-4 *2 (-442 *4))))
+ ((*1 *2 *2 *3)
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+   (-5 *1 (-159 *4 *2))))
+ ((*1 *1 *1 *2) (-12 (-5 *2 (-1113 *1)) (-4 *1 (-161))))
+ ((*1 *1 *1 *2) (-12 (-4 *1 (-161)) (-5 *2 (-1197))))
  ((*1 *1 *1 *1)
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 (((*1 *2 *1)
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 (((*1 *2 *1)
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-   (-4 *6 (-1070)) (-5 *2 (-876)) (-5 *1 (-607 *6))))) 
+(((*1 *2 *1 *2) (-12 (-5 *2 (-1141)) (-5 *1 (-541))))) 
+(((*1 *2 *3 *3 *4 *4 *3)
+  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
+   (-5 *1 (-759))))) 
+(((*1 *1 *2)
+  (-12 (-5 *2 (-1 (-227) (-227) (-227) (-227))) (-5 *1 (-270))))
+ ((*1 *1 *2) (-12 (-5 *2 (-1 (-227) (-227) (-227))) (-5 *1 (-270))))
+ ((*1 *1 *2) (-12 (-5 *2 (-1 (-227) (-227))) (-5 *1 (-270))))) 
+(((*1 *2 *1) (-12 (-5 *1 (-1233 *2)) (-4 *2 (-995))))) 
 (((*1 *2 *1) (-12 (-5 *1 (-703 *2)) (-4 *2 (-625 (-876)))))
  ((*1 *2 *1) (-12 (-5 *2 (-1179)) (-5 *1 (-890))))
  ((*1 *2 *1) (-12 (-5 *2 (-518)) (-5 *1 (-890))))
@@ -14046,415 +14059,286 @@
  ((*1 *2 *1) (-12 (-5 *2 (-518)) (-5 *1 (-1202))))
  ((*1 *2 *1) (-12 (-5 *2 (-227)) (-5 *1 (-1202))))
  ((*1 *2 *1) (-12 (-5 *2 (-576)) (-5 *1 (-1202))))) 
+(((*1 *2 *2) (|partial| -12 (-5 *1 (-570 *2)) (-4 *2 (-557))))) 
+(((*1 *1 *1 *2) (-12 (-5 *2 (-783)) (-5 *1 (-115))))
+ ((*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-115))))
+ ((*1 *2 *1 *3)
+  (-12 (-4 *1 (-260 *4 *3 *5 *6)) (-4 *4 (-1070)) (-4 *3 (-861))
+   (-4 *5 (-275 *3)) (-4 *6 (-805)) (-5 *2 (-783))))
+ ((*1 *2 *1)
+  (-12 (-4 *1 (-260 *3 *4 *5 *6)) (-4 *3 (-1070)) (-4 *4 (-861))
+   (-4 *5 (-275 *4)) (-4 *6 (-805)) (-5 *2 (-783))))
+ ((*1 *2 *1) (-12 (-4 *1 (-275 *3)) (-4 *3 (-861)) (-5 *2 (-783))))) 
+(((*1 *2 *3 *3)
+  (-12 (-5 *2 (-1 (-962 *3) (-962 *3))) (-5 *1 (-178 *3))
+   (-4 *3 (-13 (-374) (-1223) (-1023)))))) 
+(((*1 *2 *2 *2) (-12 (-5 *2 (-227)) (-5 *1 (-228))))
+ ((*1 *2 *2 *2) (-12 (-5 *2 (-171 (-227))) (-5 *1 (-228))))
+ ((*1 *2 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-443 *3 *2)) (-4 *2 (-442 *3))))
+ ((*1 *1 *1 *1) (-4 *1 (-1160)))) 
+(((*1 *2)
+  (-12 (-5 *2 (-701 (-929 *3))) (-5 *1 (-362 *3 *4)) (-14 *3 (-940))
+   (-14 *4 (-940))))
+ ((*1 *2)
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+   (-14 *4
+    (-3 (-1193 *3)
+     (-1288 (-656 (-2 (|:| -3106 *3) (|:| -3224 (-1141)))))))))
+ ((*1 *2)
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+(((*1 *2 *1) (-12 (-5 *2 (-1141)) (-5 *1 (-855 *3)) (-4 *3 (-1121))))) 
 (((*1 *2 *3)
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- ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 (-656 *5))) (-4 *5 (-374))
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    (-5 *2
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+ ((*1 *2 *3 *4 *5 *5 *5 *4 *6)
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+           (|:| |endPointContinuity|
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+                 (|:| |lowerSingular|
+                      "There is a singularity at the lower end point")
+                 (|:| |upperSingular|
+                      "There is a singularity at the upper end point")
+                 (|:| |bothSingular|
+                      "There are singularities at both end points")
+                 (|:| |notEvaluated|
+                      "End point continuity not yet evaluated")))
+           (|:| |singularitiesStream|
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+                 (|:| |notEvaluated|
+                      "Internal singularities not yet evaluated")))
+           (|:| -2951
+                (-3 (|:| |finite| "The range is finite")
+                 (|:| |lowerInfinite|
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+                 (|:| |upperInfinite| "The top of range is infinite")
+                 (|:| |bothInfinite|
+                      "Both top and bottom points are infinite")
+                 (|:| |notEvaluated| "Range not yet evaluated")))))))
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 (((*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-907 *3)) (-4 *3 (-1121))))
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 (((*1 *1 *2 *2 *2)
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-   (-5 *2 (-1056)) (-5 *1 (-769))))) 
+(((*1 *2 *3 *1)
+  (-12 (-5 *3 (-656 *4)) (-4 *4 (-1121)) (-4 *4 (-1238)) (-5 *2 (-112))
+   (-5 *1 (-1178 *4))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-1163 *4 *2)) (-14 *4 (-940))
+   (-4 *2 (-13 (-1070) (-10 -7 (-6 (-4467 "*")))))
+   (-5 *1 (-921 *4 *2))))) 
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+  (-12 (-4 *4 (-13 (-374) (-148) (-1059 (-419 (-576)))))
+   (-4 *3 (-1264 *4)) (-5 *1 (-821 *4 *3 *2 *5)) (-4 *2 (-668 *3))
+   (-4 *5 (-668 (-419 *3)))))
+ ((*1 *2 *2 *3)
+  (-12 (-5 *3 (-419 *5))
+   (-4 *4 (-13 (-374) (-148) (-1059 (-419 (-576))))) (-4 *5 (-1264 *4))
+   (-5 *1 (-821 *4 *5 *2 *6)) (-4 *2 (-668 *5)) (-4 *6 (-668 *3))))) 
+(((*1 *2 *3 *2 *4)
+  (-12 (-5 *3 (-701 *2)) (-5 *4 (-783))
+   (-4 *2 (-13 (-317) (-10 -8 (-15 -3921 ((-430 $) $)))))
+   (-4 *5 (-1264 *2)) (-5 *1 (-511 *2 *5 *6)) (-4 *6 (-421 *2 *5))))) 
 (((*1 *1 *2)
   (-12 (-5 *2 (-1288 *4)) (-4 *4 (-1238)) (-4 *1 (-243 *3 *4))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-13 (-464) (-1059 (-576)))) (-4 *3 (-568))
+   (-5 *1 (-41 *3 *2)) (-4 *2 (-442 *3))
+   (-4 *2
+    (-13 (-374) (-312)
+     (-10 -8 (-15 -1570 ((-1146 *3 (-624 $)) $))
+      (-15 -1581 ((-1146 *3 (-624 $)) $))
+      (-15 -3570 ($ (-1146 *3 (-624 $)))))))))) 
 (((*1 *1 *1) (-4 *1 (-34))) ((*1 *1 *1) (-5 *1 (-115)))
  ((*1 *1 *1) (-5 *1 (-173))) ((*1 *1 *1) (-4 *1 (-557)))
  ((*1 *1 *1) (-12 (-5 *1 (-907 *2)) (-4 *2 (-1121))))
@@ -14462,41 +14346,25 @@
  ((*1 *1 *1)
   (-12 (-5 *1 (-1161 *2 *3)) (-4 *2 (-13 (-1121) (-34)))
    (-4 *3 (-13 (-1121) (-34)))))) 
+(((*1 *1 *2 *3)
+  (-12 (-5 *3 (-1178 *2)) (-4 *2 (-317)) (-5 *1 (-176 *2))))) 
+(((*1 *2) (-12 (-5 *2 (-940)) (-5 *1 (-1291))))
+ ((*1 *2 *2) (-12 (-5 *2 (-940)) (-5 *1 (-1291))))) 
 (((*1 *2 *1)
-  (-12
-   (-5 *2
-    (-656
-     (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| *3)
-      (|:| |xpnt| (-576)))))
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- ((*1 *2 *3 *4 *4 *4)
-  (-12 (-5 *4 (-783)) (-4 *3 (-360)) (-4 *5 (-1264 *3))
-   (-5 *2 (-656 (-1193 *3))) (-5 *1 (-510 *3 *5 *6))
-   (-4 *6 (-1264 *5))))) 
-(((*1 *1 *1) (-4 *1 (-641)))
- ((*1 *2 *2)
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-(((*1 *2)
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-   (-4 *5 (-1264 (-419 *4))) (-5 *2 (-701 (-419 *4)))))) 
+  (-12 (-5 *2 (-962 *4)) (-5 *1 (-1185 *3 *4)) (-14 *3 (-940))
+   (-4 *4 (-1070))))) 
 (((*1 *2 *3 *4)
-  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
-   (-4 *3 (-1086 *5 *6 *7)) (-5 *2 (-656 *4))
-   (-5 *1 (-1093 *5 *6 *7 *3 *4)) (-4 *4 (-1092 *5 *6 *7 *3))))) 
-(((*1 *1 *2 *3 *4)
-  (-12
-   (-5 *3
-    (-656
-     (-2 (|:| |scalar| (-419 (-576))) (|:| |coeff| (-1193 *2))
-      (|:| |logand| (-1193 *2)))))
-   (-5 *4 (-656 (-2 (|:| |integrand| *2) (|:| |intvar| *2))))
-   (-4 *2 (-374)) (-5 *1 (-598 *2))))) 
+  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
+(((*1 *2 *2)
+  (-12 (-5 *2 (-112)) (-5 *1 (-454 *3)) (-4 *3 (-1264 (-576)))))) 
 (((*1 *2 *1) (-12 (-5 *2 (-656 (-984))) (-5 *1 (-109))))
  ((*1 *2 *1) (-12 (-5 *2 (-45 (-1179) (-786))) (-5 *1 (-115))))) 
 (((*1 *1 *1 *1) (-5 *1 (-876)))) 
-(((*1 *2 *2 *3)
-  (-12 (-4 *3 (-1070)) (-5 *1 (-456 *3 *2)) (-4 *2 (-1264 *3))))) 
+(((*1 *1 *1 *2) (-12 (-5 *2 (-656 (-876))) (-5 *1 (-876))))) 
+(((*1 *1 *2 *2 *2 *2 *2 *2 *2 *2)
+  (-12 (-4 *1 (-809 *2)) (-4 *2 (-174))))
+ ((*1 *1 *2 *2)
+  (-12 (-5 *2 (-1020 *3)) (-4 *3 (-174)) (-5 *1 (-811 *3))))) 
 (((*1 *2 *1) (-12 (-4 *1 (-167 *2)) (-4 *2 (-174))))
  ((*1 *2 *3)
   (-12 (-4 *4 (-13 (-568) (-1059 (-576)))) (-5 *2 (-326 *4))
@@ -14504,59 +14372,47 @@
  ((*1 *2 *2)
   (-12 (-4 *3 (-13 (-464) (-1059 (-576)) (-651 (-576))))
    (-5 *1 (-1227 *3 *2)) (-4 *2 (-13 (-27) (-1223) (-442 *3)))))) 
-(((*1 *2 *3 *4 *5 *5 *4 *6)
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-   (-5 *3 (-1288 (-390))) (-5 *5 (-390)) (-5 *2 (-1293))
-   (-5 *1 (-800))))) 
-(((*1 *2 *2 *3 *2)
-  (-12 (-5 *3 (-783)) (-4 *4 (-360)) (-5 *1 (-218 *4 *2))
-   (-4 *2 (-1264 *4))))
- ((*1 *2 *2 *3 *2 *3)
-  (-12 (-5 *3 (-576)) (-5 *1 (-708 *2)) (-4 *2 (-1264 *3))))) 
-(((*1 *1 *2 *3)
-  (-12 (-5 *2 (-518)) (-5 *3 (-656 (-890))) (-5 *1 (-495))))) 
-(((*1 *2 *1 *1)
-  (-12
-   (-5 *2
-    (-2 (|:| -1714 *3) (|:| |gap| (-783)) (|:| -3015 (-794 *3))
-     (|:| -3599 (-794 *3))))
-   (-5 *1 (-794 *3)) (-4 *3 (-1070))))
- ((*1 *2 *1 *1 *3)
-  (-12 (-4 *4 (-1070)) (-4 *5 (-805)) (-4 *3 (-861))
-   (-5 *2
-    (-2 (|:| -1714 *1) (|:| |gap| (-783)) (|:| -3015 *1)
-     (|:| -3599 *1)))
-   (-4 *1 (-1086 *4 *5 *3))))
- ((*1 *2 *1 *1)
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-   (-5 *2
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-   (-4 *1 (-1086 *3 *4 *5))))) 
-(((*1 *2 *2)
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-   (-4 *2 (-13 (-442 *3) (-1223)))))) 
-(((*1 *2 *3)
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-   (-5 *4 (-227)) (-5 *2 (-1056)) (-5 *1 (-765))))) 
-(((*1 *2 *3 *4 *4)
-  (-12 (-5 *4 (-783)) (-4 *5 (-360)) (-4 *6 (-1264 *5))
-   (-5 *2
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-      (|:| |basisInv| (-701 *6)))))
-   (-5 *1 (-510 *5 *6 *7))
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-     (|:| |basisInv| (-701 *6))))
-   (-4 *7 (-1264 *6))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-1202))))) 
 (((*1 *1 *1 *1)
-  (-12 (-4 *1 (-699 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-384 *2))
-   (-4 *4 (-384 *2))))) 
+  (-12 (|has| *1 (-6 -4466)) (-4 *1 (-249 *2)) (-4 *2 (-1238))))) 
+(((*1 *2 *2 *2)
+  (-12 (-4 *3 (-374)) (-5 *1 (-778 *2 *3)) (-4 *2 (-720 *3))))
+ ((*1 *1 *1 *1) (-12 (-4 *1 (-866 *2)) (-4 *2 (-1070)) (-4 *2 (-374))))) 
+(((*1 *2 *3 *4 *4 *5 *3 *3)
+  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *5 (-227))
+   (-5 *2 (-1056)) (-5 *1 (-764))))) 
+(((*1 *2 *3 *1)
+  (-12 (-5 *3 (-518)) (-5 *2 (-656 (-984))) (-5 *1 (-301))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-227)) (-5 *1 (-228))))
+ ((*1 *2 *2) (-12 (-5 *2 (-171 (-227))) (-5 *1 (-228))))
+ ((*1 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-443 *3 *2)) (-4 *2 (-442 *3))))
+ ((*1 *1 *1) (-4 *1 (-1160)))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *3 (-1197)) (-4 *4 (-568)) (-4 *4 (-1121))
+   (-5 *1 (-585 *4 *2)) (-4 *2 (-442 *4))))) 
+(((*1 *2 *3)
+  (|partial| -12 (-5 *3 (-971 *4)) (-4 *4 (-1070)) (-4 *4 (-626 *2))
+      (-5 *2 (-390)) (-5 *1 (-797 *4))))
+ ((*1 *2 *3 *4)
+  (|partial| -12 (-5 *3 (-971 *5)) (-5 *4 (-940)) (-4 *5 (-1070))
+      (-4 *5 (-626 *2)) (-5 *2 (-390)) (-5 *1 (-797 *5))))
+ ((*1 *2 *3)
+  (|partial| -12 (-5 *3 (-419 (-971 *4))) (-4 *4 (-568))
+      (-4 *4 (-626 *2)) (-5 *2 (-390)) (-5 *1 (-797 *4))))
+ ((*1 *2 *3 *4)
+  (|partial| -12 (-5 *3 (-419 (-971 *5))) (-5 *4 (-940)) (-4 *5 (-568))
+      (-4 *5 (-626 *2)) (-5 *2 (-390)) (-5 *1 (-797 *5))))
+ ((*1 *2 *3)
+  (|partial| -12 (-5 *3 (-326 *4)) (-4 *4 (-568)) (-4 *4 (-861))
+      (-4 *4 (-626 *2)) (-5 *2 (-390)) (-5 *1 (-797 *4))))
+ ((*1 *2 *3 *4)
+  (|partial| -12 (-5 *3 (-326 *5)) (-5 *4 (-940)) (-4 *5 (-568))
+      (-4 *5 (-861)) (-4 *5 (-626 *2)) (-5 *2 (-390))
+      (-5 *1 (-797 *5))))) 
+(((*1 *2 *1)
+  (|partial| -12 (-4 *1 (-1271 *3 *2)) (-4 *3 (-1070))
+      (-4 *2 (-1248 *3))))) 
 (((*1 *2 *1) (-12 (-4 *1 (-167 *2)) (-4 *2 (-174))))
  ((*1 *2 *3)
   (-12 (-4 *4 (-13 (-568) (-1059 (-576)))) (-5 *2 (-326 *4))
@@ -14566,41 +14422,75 @@
  ((*1 *2 *2)
   (-12 (-4 *3 (-13 (-464) (-1059 (-576)) (-651 (-576))))
    (-5 *1 (-1227 *3 *2)) (-4 *2 (-13 (-27) (-1223) (-442 *3)))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-1288 (-326 (-227)))) (-5 *4 (-656 (-1197)))
-   (-5 *2 (-701 (-326 (-227)))) (-5 *1 (-207))))
- ((*1 *2 *3 *4)
-  (-12 (-4 *5 (-1121)) (-4 *6 (-917 *5)) (-5 *2 (-701 *6))
-   (-5 *1 (-704 *5 *6 *3 *4)) (-4 *3 (-384 *6))
-   (-4 *4 (-13 (-384 *5) (-10 -7 (-6 -4464))))))) 
-(((*1 *1 *1 *1) (-12 (-4 *1 (-1001 *2)) (-4 *2 (-1070))))
- ((*1 *2 *2 *2) (-12 (-5 *2 (-962 (-227))) (-5 *1 (-1234))))
- ((*1 *1 *1 *1)
-  (-12 (-4 *1 (-1286 *2)) (-4 *2 (-1238)) (-4 *2 (-1070))))) 
 (((*1 *2 *3)
-  (-12 (-5 *2 (-171 *4)) (-5 *1 (-183 *4 *3))
-   (-4 *4 (-13 (-374) (-860))) (-4 *3 (-1264 *2))))) 
+  (-12 (-5 *2 (-1193 (-576))) (-5 *1 (-193)) (-5 *3 (-576))))
+ ((*1 *2 *3 *2) (-12 (-5 *3 (-783)) (-5 *1 (-795 *2)) (-4 *2 (-174))))
+ ((*1 *2 *3)
+  (-12 (-5 *2 (-1193 (-576))) (-5 *1 (-961)) (-5 *3 (-576))))) 
+(((*1 *1 *2 *3) (-12 (-5 *2 (-518)) (-5 *3 (-609)) (-5 *1 (-597))))) 
+(((*1 *2 *3 *4 *4 *4 *5 *5 *3)
+  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *5 (-227))
+   (-5 *2 (-1056)) (-5 *1 (-763))))) 
 (((*1 *2 *3 *4 *5)
   (-12 (-5 *3 (-1 *2 *6)) (-5 *4 (-1 *6 *5)) (-4 *5 (-1121))
    (-4 *6 (-1121)) (-4 *2 (-1121)) (-5 *1 (-692 *5 *6 *2))))) 
-(((*1 *2 *3 *4 *5)
-  (-12 (-5 *3 (-971 (-419 (-576)))) (-5 *4 (-1197))
-   (-5 *5 (-1115 (-855 (-227)))) (-5 *2 (-656 (-227))) (-5 *1 (-310))))) 
-(((*1 *1 *1 *2) (-12 (-4 *1 (-732)) (-5 *2 (-940))))
- ((*1 *1 *1 *2) (-12 (-4 *1 (-734)) (-5 *2 (-783))))) 
-(((*1 *1 *2 *3) (-12 (-5 *2 (-783)) (-5 *1 (-103 *3)) (-4 *3 (-1121))))) 
-(((*1 *2)
-  (-12 (-5 *2 (-940)) (-5 *1 (-454 *3)) (-4 *3 (-1264 (-576)))))
- ((*1 *2 *2)
-  (-12 (-5 *2 (-940)) (-5 *1 (-454 *3)) (-4 *3 (-1264 (-576)))))) 
-(((*1 *1 *2 *3) (-12 (-5 *2 (-1193 *1)) (-5 *3 (-1197)) (-4 *1 (-27))))
- ((*1 *1 *2) (-12 (-5 *2 (-1193 *1)) (-4 *1 (-27))))
- ((*1 *1 *2) (-12 (-5 *2 (-971 *1)) (-4 *1 (-27))))
- ((*1 *1 *1 *2) (-12 (-5 *2 (-1197)) (-4 *1 (-29 *3)) (-4 *3 (-568))))
- ((*1 *1 *1) (-12 (-4 *1 (-29 *2)) (-4 *2 (-568))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-834))))) 
-(((*1 *2 *1) (|partial| -12 (-5 *2 (-656 (-289))) (-5 *1 (-289))))
- ((*1 *2 *1) (-12 (-5 *2 (-656 (-1202))) (-5 *1 (-1202))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-1298))))) 
+(((*1 *1) (-5 *1 (-571)))) 
+(((*1 *1 *1) (-5 *1 (-1084)))) 
+(((*1 *2 *3) (-12 (-5 *3 (-940)) (-5 *2 (-1179)) (-5 *1 (-798))))) 
+(((*1 *2 *3 *2 *2)
+  (-12 (-5 *2 (-656 (-493 *4 *5))) (-5 *3 (-878 *4))
+   (-14 *4 (-656 (-1197))) (-4 *5 (-464)) (-5 *1 (-643 *4 *5))))) 
+(((*1 *2 *3 *4 *2)
+  (-12 (-5 *2 (-904 *5 *3)) (-5 *4 (-907 *5)) (-4 *5 (-1121))
+   (-4 *3 (-167 *6)) (-4 (-971 *6) (-901 *5))
+   (-4 *6 (-13 (-901 *5) (-174))) (-5 *1 (-180 *5 *6 *3))))
+ ((*1 *2 *1 *3 *2)
+  (-12 (-5 *2 (-904 *4 *1)) (-5 *3 (-907 *4)) (-4 *1 (-901 *4))
+   (-4 *4 (-1121))))
+ ((*1 *2 *3 *4 *2)
+  (-12 (-5 *2 (-904 *5 *6)) (-5 *4 (-907 *5)) (-4 *5 (-1121))
+   (-4 *6 (-13 (-1121) (-1059 *3))) (-4 *3 (-901 *5))
+   (-5 *1 (-950 *5 *3 *6))))
+ ((*1 *2 *3 *4 *2)
+  (-12 (-5 *2 (-904 *5 *3)) (-4 *5 (-1121))
+   (-4 *3 (-13 (-442 *6) (-626 *4) (-901 *5) (-1059 (-624 $))))
+   (-5 *4 (-907 *5)) (-4 *6 (-13 (-568) (-901 *5)))
+   (-5 *1 (-951 *5 *6 *3))))
+ ((*1 *2 *3 *4 *2)
+  (-12 (-5 *2 (-904 (-576) *3)) (-5 *4 (-907 (-576))) (-4 *3 (-557))
+   (-5 *1 (-952 *3))))
+ ((*1 *2 *3 *4 *2)
+  (-12 (-5 *2 (-904 *5 *6)) (-5 *3 (-624 *6)) (-4 *5 (-1121))
+   (-4 *6 (-13 (-1121) (-1059 (-624 $)) (-626 *4) (-901 *5)))
+   (-5 *4 (-907 *5)) (-5 *1 (-953 *5 *6))))
+ ((*1 *2 *3 *4 *2)
+  (-12 (-5 *2 (-900 *5 *6 *3)) (-5 *4 (-907 *5)) (-4 *5 (-1121))
+   (-4 *6 (-901 *5)) (-4 *3 (-678 *6)) (-5 *1 (-954 *5 *6 *3))))
+ ((*1 *2 *3 *4 *2 *5)
+  (-12 (-5 *5 (-1 (-904 *6 *3) *8 (-907 *6) (-904 *6 *3)))
+   (-4 *8 (-861)) (-5 *2 (-904 *6 *3)) (-5 *4 (-907 *6))
+   (-4 *6 (-1121)) (-4 *3 (-13 (-968 *9 *7 *8) (-626 *4)))
+   (-4 *7 (-805)) (-4 *9 (-13 (-1070) (-901 *6)))
+   (-5 *1 (-955 *6 *7 *8 *9 *3))))
+ ((*1 *2 *3 *4 *2)
+  (-12 (-5 *2 (-904 *5 *3)) (-4 *5 (-1121))
+   (-4 *3 (-13 (-968 *8 *6 *7) (-626 *4))) (-5 *4 (-907 *5))
+   (-4 *7 (-901 *5)) (-4 *6 (-805)) (-4 *7 (-861))
+   (-4 *8 (-13 (-1070) (-901 *5))) (-5 *1 (-955 *5 *6 *7 *8 *3))))
+ ((*1 *2 *3 *4 *2)
+  (-12 (-5 *2 (-904 *5 *3)) (-4 *5 (-1121)) (-4 *3 (-1013 *6))
+   (-4 *6 (-13 (-568) (-901 *5) (-626 *4))) (-5 *4 (-907 *5))
+   (-5 *1 (-958 *5 *6 *3))))
+ ((*1 *2 *3 *4 *2)
+  (-12 (-5 *2 (-904 *5 (-1197))) (-5 *3 (-1197)) (-5 *4 (-907 *5))
+   (-4 *5 (-1121)) (-5 *1 (-959 *5))))
+ ((*1 *2 *3 *4 *5 *2 *6)
+  (-12 (-5 *4 (-656 (-907 *7))) (-5 *5 (-1 *9 (-656 *9)))
+   (-5 *6 (-1 (-904 *7 *9) *9 (-907 *7) (-904 *7 *9))) (-4 *7 (-1121))
+   (-4 *9 (-13 (-1070) (-626 (-907 *7)) (-1059 *8)))
+   (-5 *2 (-904 *7 *9)) (-5 *3 (-656 *9)) (-4 *8 (-1070))
+   (-5 *1 (-960 *7 *8 *9))))) 
 (((*1 *1 *1)
   (-12 (-5 *1 (-350 *2 *3 *4)) (-14 *2 (-656 (-1197)))
    (-14 *3 (-656 (-1197))) (-4 *4 (-399))))
@@ -14610,10 +14500,10 @@
  ((*1 *1 *2) (-12 (-5 *2 (-419 (-576))) (-4 *1 (-1033))))
  ((*1 *1 *1 *2) (-12 (-4 *1 (-1033)) (-5 *2 (-940))))
  ((*1 *1 *1) (-4 *1 (-1033)))) 
-(((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-573))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-568)) (-5 *2 (-783)) (-5 *1 (-43 *4 *3))
-   (-4 *3 (-429 *4))))) 
+(((*1 *1 *1)
+  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
+(((*1 *2 *3 *2)
+  (-12 (-5 *2 (-656 *3)) (-4 *3 (-317)) (-5 *1 (-181 *3))))) 
 (((*1 *2 *3)
   (-12 (-5 *3 (-940)) (-5 *2 (-1193 *4)) (-5 *1 (-368 *4))
    (-4 *4 (-360))))
@@ -14631,60 +14521,25 @@
   (-12 (-5 *3 (-576)) (-5 *2 (-924 *4)) (-5 *1 (-923 *4))
    (-4 *4 (-1121))))
  ((*1 *1) (-12 (-4 *1 (-1013 *2)) (-4 *2 (-557)) (-4 *2 (-568))))) 
-(((*1 *2 *2) (|partial| -12 (-4 *1 (-1004 *2)) (-4 *2 (-1223))))) 
-(((*1 *1 *2)
-  (-12 (-5 *2 (-656 (-516 *3 *4 *5 *6))) (-4 *3 (-374)) (-4 *4 (-805))
-   (-4 *5 (-861)) (-5 *1 (-516 *3 *4 *5 *6)) (-4 *6 (-968 *3 *4 *5))))
- ((*1 *1 *1 *1)
-  (-12 (-4 *2 (-374)) (-4 *3 (-805)) (-4 *4 (-861))
-   (-5 *1 (-516 *2 *3 *4 *5)) (-4 *5 (-968 *2 *3 *4))))
- ((*1 *2 *3 *2)
-  (-12 (-5 *2 (-656 *1)) (-4 *1 (-1092 *4 *5 *6 *3)) (-4 *4 (-464))
-   (-4 *5 (-805)) (-4 *6 (-861)) (-4 *3 (-1086 *4 *5 *6))))
- ((*1 *2 *3 *2)
-  (-12 (-5 *2 (-656 *1)) (-5 *3 (-656 *7)) (-4 *1 (-1092 *4 *5 *6 *7))
-   (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
-   (-4 *7 (-1086 *4 *5 *6))))
- ((*1 *2 *3 *1)
-  (-12 (-5 *3 (-656 *7)) (-4 *7 (-1086 *4 *5 *6)) (-4 *4 (-464))
-   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-656 *1))
-   (-4 *1 (-1092 *4 *5 *6 *7))))
- ((*1 *2 *3 *1)
-  (-12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-861))
-   (-4 *3 (-1086 *4 *5 *6)) (-5 *2 (-656 *1))
-   (-4 *1 (-1092 *4 *5 *6 *3))))
- ((*1 *1 *1 *1) (-12 (-4 *1 (-1119 *2)) (-4 *2 (-1121))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-1288 (-326 (-227)))) (-5 *2 (-1288 (-326 (-390))))
-   (-5 *1 (-315))))) 
-(((*1 *2 *3 *4 *2 *5 *6)
-  (-12
-   (-5 *5
-    (-2 (|:| |done| (-656 *11))
-     (|:| |todo| (-656 (-2 (|:| |val| *3) (|:| -3987 *11))))))
-   (-5 *6 (-783))
-   (-5 *2 (-656 (-2 (|:| |val| (-656 *10)) (|:| -3987 *11))))
-   (-5 *3 (-656 *10)) (-5 *4 (-656 *11)) (-4 *10 (-1086 *7 *8 *9))
-   (-4 *11 (-1092 *7 *8 *9 *10)) (-4 *7 (-464)) (-4 *8 (-805))
-   (-4 *9 (-861)) (-5 *1 (-1090 *7 *8 *9 *10 *11))))
- ((*1 *2 *3 *4 *2 *5 *6)
-  (-12
-   (-5 *5
-    (-2 (|:| |done| (-656 *11))
-     (|:| |todo| (-656 (-2 (|:| |val| *3) (|:| -3987 *11))))))
-   (-5 *6 (-783))
-   (-5 *2 (-656 (-2 (|:| |val| (-656 *10)) (|:| -3987 *11))))
-   (-5 *3 (-656 *10)) (-5 *4 (-656 *11)) (-4 *10 (-1086 *7 *8 *9))
-   (-4 *11 (-1130 *7 *8 *9 *10)) (-4 *7 (-464)) (-4 *8 (-805))
-   (-4 *9 (-861)) (-5 *1 (-1166 *7 *8 *9 *10 *11))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-940)) (-5 *1 (-992))))) 
+  (-12 (-4 *3 (-1264 *2)) (-4 *2 (-1264 *4))
+   (-5 *1 (-1006 *4 *2 *3 *5)) (-4 *4 (-360)) (-4 *5 (-736 *2 *3))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-656 *7)) (-4 *7 (-968 *4 *5 *6)) (-4 *6 (-626 (-1197)))
-   (-4 *4 (-374)) (-4 *5 (-805)) (-4 *6 (-861))
-   (-5 *2 (-1186 (-656 (-971 *4)) (-656 (-304 (-971 *4)))))
-   (-5 *1 (-516 *4 *5 *6 *7))))) 
+  (-12 (-5 *3 (-1288 *4)) (-4 *4 (-1070)) (-4 *2 (-1264 *4))
+   (-5 *1 (-456 *4 *2))))
+ ((*1 *2 *3 *2 *4)
+  (-12 (-5 *2 (-419 (-1193 (-326 *5)))) (-5 *3 (-1288 (-326 *5)))
+   (-5 *4 (-576)) (-4 *5 (-568)) (-5 *1 (-1151 *5))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-539)) (-5 *2 (-703 (-559)))))) 
+(((*1 *2 *1 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-1290))))) 
+(((*1 *2 *2)
+  (|partial| -12 (-5 *2 (-1193 *3)) (-4 *3 (-360)) (-5 *1 (-368 *3))))) 
+(((*1 *2)
+  (-12 (-4 *1 (-353 *3 *4 *5)) (-4 *3 (-1242)) (-4 *4 (-1264 *3))
+   (-4 *5 (-1264 (-419 *4))) (-5 *2 (-701 (-419 *4)))))) 
 (((*1 *1 *1)
-  (-12 (-5 *1 (-1185 *2 *3)) (-14 *2 (-940)) (-4 *3 (-1070))))) 
+  (-12 (-4 *2 (-464)) (-4 *3 (-861)) (-4 *4 (-805))
+   (-5 *1 (-1008 *2 *3 *4 *5)) (-4 *5 (-968 *2 *4 *3))))) 
 (((*1 *2 *3 *4)
   (-12 (-5 *4 (-656 (-48))) (-5 *2 (-430 *3)) (-5 *1 (-39 *3))
    (-4 *3 (-1264 (-48)))))
@@ -14733,8 +14588,8 @@
   (-12
    (-4 *4
     (-13 (-861)
-     (-10 -8 (-15 -4171 ((-1197) $))
-      (-15 -3054 ((-3 $ "failed") (-1197))))))
+     (-10 -8 (-15 -4172 ((-1197) $))
+      (-15 -3055 ((-3 $ "failed") (-1197))))))
    (-4 *5 (-805)) (-4 *7 (-568)) (-5 *2 (-430 *3))
    (-5 *1 (-468 *4 *5 *6 *7 *3)) (-4 *6 (-568))
    (-4 *3 (-968 *7 *5 *4))))
@@ -14783,13 +14638,13 @@
   (-12 (-4 *4 (-805))
    (-4 *5
     (-13 (-861)
-     (-10 -8 (-15 -4171 ((-1197) $))
-      (-15 -3054 ((-3 $ "failed") (-1197))))))
+     (-10 -8 (-15 -4172 ((-1197) $))
+      (-15 -3055 ((-3 $ "failed") (-1197))))))
    (-4 *6 (-317)) (-5 *2 (-430 *3)) (-5 *1 (-742 *4 *5 *6 *3))
    (-4 *3 (-968 (-971 *6) *4 *5))))
  ((*1 *2 *3)
   (-12 (-4 *4 (-805))
-   (-4 *5 (-13 (-861) (-10 -8 (-15 -4171 ((-1197) $))))) (-4 *6 (-568))
+   (-4 *5 (-13 (-861) (-10 -8 (-15 -4172 ((-1197) $))))) (-4 *6 (-568))
    (-5 *2 (-430 *3)) (-5 *1 (-744 *4 *5 *6 *3))
    (-4 *3 (-968 (-419 (-971 *6)) *4 *5))))
  ((*1 *2 *3)
@@ -14825,44 +14680,34 @@
  ((*1 *2 *1) (-12 (-5 *2 (-430 *1)) (-4 *1 (-1242))))
  ((*1 *2 *3)
   (-12 (-5 *2 (-430 *3)) (-5 *1 (-1253 *3)) (-4 *3 (-1264 (-576)))))) 
-(((*1 *2 *2)
-  (-12
-   (-5 *2
-    (-1008 (-419 (-576)) (-878 *3) (-245 *4 (-783))
-     (-253 *3 (-419 (-576)))))
-   (-14 *3 (-656 (-1197))) (-14 *4 (-783)) (-5 *1 (-1007 *3 *4))))) 
-(((*1 *1 *1 *2 *3)
-  (-12 (-5 *3 (-656 *6)) (-4 *6 (-861)) (-4 *4 (-374)) (-4 *5 (-805))
-   (-5 *1 (-516 *4 *5 *6 *2)) (-4 *2 (-968 *4 *5 *6))))
- ((*1 *1 *1 *2)
-  (-12 (-4 *3 (-374)) (-4 *4 (-805)) (-4 *5 (-861))
-   (-5 *1 (-516 *3 *4 *5 *2)) (-4 *2 (-968 *3 *4 *5))))) 
-(((*1 *2 *3 *4 *4 *3 *5)
-  (-12 (-5 *4 (-624 *3)) (-5 *5 (-1193 *3))
-   (-4 *3 (-13 (-442 *6) (-27) (-1223)))
-   (-4 *6 (-13 (-464) (-1059 (-576)) (-148) (-651 (-576))))
-   (-5 *2 (-598 *3)) (-5 *1 (-572 *6 *3 *7)) (-4 *7 (-1121))))
- ((*1 *2 *3 *4 *4 *4 *3 *5)
-  (-12 (-5 *4 (-624 *3)) (-5 *5 (-419 (-1193 *3)))
-   (-4 *3 (-13 (-442 *6) (-27) (-1223)))
-   (-4 *6 (-13 (-464) (-1059 (-576)) (-148) (-651 (-576))))
-   (-5 *2 (-598 *3)) (-5 *1 (-572 *6 *3 *7)) (-4 *7 (-1121))))) 
-(((*1 *1 *2 *3) (-12 (-5 *2 (-518)) (-5 *3 (-609)) (-5 *1 (-597))))) 
-(((*1 *2 *2 *2)
+(((*1 *1 *2 *3 *1)
+  (-12 (-5 *2 (-1113 (-971 (-576)))) (-5 *3 (-971 (-576)))
+   (-5 *1 (-340))))
+ ((*1 *1 *2 *1) (-12 (-5 *2 (-1113 (-971 (-576)))) (-5 *1 (-340))))) 
+(((*1 *1 *1 *2 *1) (-12 (-5 *1 (-128 *2)) (-4 *2 (-1121))))
+ ((*1 *1 *2) (-12 (-5 *1 (-128 *2)) (-4 *2 (-1121))))) 
+(((*1 *2 *2 *3)
+  (-12 (-4 *4 (-1121)) (-4 *2 (-917 *4)) (-5 *1 (-704 *4 *2 *5 *3))
+   (-4 *5 (-384 *2)) (-4 *3 (-13 (-384 *4) (-10 -7 (-6 -4465))))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-656 (-1179))) (-5 *1 (-406))))
+ ((*1 *2 *1) (-12 (-5 *2 (-656 (-1179))) (-5 *1 (-1218))))) 
+(((*1 *2 *3 *4 *5 *5)
+  (-12 (-5 *3 (-3 (-419 (-971 *6)) (-1186 (-1197) (-971 *6))))
+   (-5 *5 (-783)) (-4 *6 (-464)) (-5 *2 (-656 (-701 (-419 (-971 *6)))))
+   (-5 *1 (-302 *6)) (-5 *4 (-701 (-419 (-971 *6))))))
+ ((*1 *2 *3 *4)
   (-12
-   (-5 *2
-    (-656
-     (-2 (|:| |lcmfij| *4) (|:| |totdeg| (-783)) (|:| |poli| *6)
-      (|:| |polj| *6))))
-   (-4 *4 (-805)) (-4 *6 (-968 *3 *4 *5)) (-4 *3 (-464)) (-4 *5 (-861))
-   (-5 *1 (-461 *3 *4 *5 *6))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-253 *4 *5)) (-14 *4 (-656 (-1197))) (-4 *5 (-464))
-   (-5 *2 (-493 *4 *5)) (-5 *1 (-643 *4 *5))))) 
-(((*1 *2)
-  (-12 (-5 *2 (-783)) (-5 *1 (-121 *3)) (-4 *3 (-1264 (-576)))))
- ((*1 *2 *2)
-  (-12 (-5 *2 (-783)) (-5 *1 (-121 *3)) (-4 *3 (-1264 (-576)))))) 
+   (-5 *3
+    (-2 (|:| |eigval| (-3 (-419 (-971 *5)) (-1186 (-1197) (-971 *5))))
+     (|:| |eigmult| (-783)) (|:| |eigvec| (-656 *4))))
+   (-4 *5 (-464)) (-5 *2 (-656 (-701 (-419 (-971 *5)))))
+   (-5 *1 (-302 *5)) (-5 *4 (-701 (-419 (-971 *5))))))) 
+(((*1 *2 *3 *4 *3)
+  (|partial| -12 (-5 *4 (-1197))
+      (-4 *5 (-13 (-464) (-148) (-1059 (-576)) (-651 (-576))))
+      (-5 *2 (-2 (|:| -1698 *3) (|:| |coeff| *3))) (-5 *1 (-569 *5 *3))
+      (-4 *3 (-13 (-27) (-1223) (-442 *5)))))) 
+(((*1 *1) (-5 *1 (-131)))) 
 (((*1 *2 *2 *2)
   (-12 (-5 *2 (-656 (-624 *4))) (-4 *4 (-442 *3)) (-4 *3 (-1121))
    (-5 *1 (-585 *3 *4))))
@@ -14871,76 +14716,84 @@
  ((*1 *1 *2 *1) (-12 (-4 *1 (-1119 *2)) (-4 *2 (-1121))))
  ((*1 *1 *1 *2) (-12 (-4 *1 (-1119 *2)) (-4 *2 (-1121))))
  ((*1 *1 *1 *1) (-12 (-4 *1 (-1119 *2)) (-4 *2 (-1121))))) 
-(((*1 *1 *1 *1 *1) (-4 *1 (-557)))) 
-(((*1 *2 *1)
-  (-12 (-14 *3 (-656 (-1197))) (-4 *4 (-174))
-   (-14 *6
-    (-1 (-112) (-2 (|:| -3223 *5) (|:| -4210 *2))
-     (-2 (|:| -3223 *5) (|:| -4210 *2))))
-   (-4 *2 (-243 (-3502 *3) (-783))) (-5 *1 (-473 *3 *4 *5 *2 *6 *7))
-   (-4 *5 (-861)) (-4 *7 (-968 *4 *2 (-878 *3)))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-419 (-576))) (-5 *4 (-576)) (-5 *2 (-52))
+   (-5 *1 (-1026))))) 
 (((*1 *1 *1)
-  (-12 (-4 *2 (-317)) (-4 *3 (-1013 *2)) (-4 *4 (-1264 *3))
-   (-5 *1 (-425 *2 *3 *4 *5)) (-4 *5 (-13 (-421 *3 *4) (-1059 *3)))))) 
-(((*1 *2 *1 *3) (-12 (-5 *3 (-835)) (-5 *2 (-1293)) (-5 *1 (-834))))) 
-(((*1 *2 *1)
-  (-12 (-4 *1 (-1086 *3 *4 *5)) (-4 *3 (-1070)) (-4 *4 (-805))
-   (-4 *5 (-861)) (-5 *2 (-112))))) 
-(((*1 *2 *2) (|partial| -12 (-4 *1 (-1004 *2)) (-4 *2 (-1223))))) 
-(((*1 *2)
-  (-12 (-4 *3 (-568)) (-5 *2 (-656 (-701 *3))) (-5 *1 (-43 *3 *4))
-   (-4 *4 (-429 *3))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-112))))
- ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-55))))
- ((*1 *2 *1)
-  (-12 (-4 *3 (-374)) (-4 *4 (-805)) (-4 *5 (-861)) (-5 *2 (-112))
-   (-5 *1 (-516 *3 *4 *5 *6)) (-4 *6 (-968 *3 *4 *5))))
- ((*1 *2 *3 *1)
-  (-12 (-4 *1 (-1089 *4 *3)) (-4 *4 (-13 (-860) (-374)))
-   (-4 *3 (-1264 *4)) (-5 *2 (-112))))) 
-(((*1 *2 *3)
+  (-12 (-5 *1 (-1185 *2 *3)) (-14 *2 (-940)) (-4 *3 (-1070))))) 
+(((*1 *2 *3 *4 *5 *6 *7 *7 *8)
   (-12
    (-5 *3
-    (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227)))
-     (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
-     (|:| |relerr| (-227))))
-   (-5 *2 (-112)) (-5 *1 (-310))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-145))))) 
-(((*1 *2 *1)
-  (-12 (-4 *1 (-1231 *3 *4 *5 *6)) (-4 *3 (-568)) (-4 *4 (-805))
-   (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5)) (-5 *2 (-656 *6))))) 
+    (-2 (|:| |det| *12) (|:| |rows| (-656 (-576)))
+     (|:| |cols| (-656 (-576)))))
+   (-5 *4 (-701 *12)) (-5 *5 (-656 (-419 (-971 *9))))
+   (-5 *6 (-656 (-656 *12))) (-5 *7 (-783)) (-5 *8 (-576))
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+   (-4 *10 (-13 (-861) (-626 (-1197)))) (-4 *11 (-805))
+   (-5 *2
+    (-2 (|:| |eqzro| (-656 *12)) (|:| |neqzro| (-656 *12))
+     (|:| |wcond| (-656 (-971 *9)))
+     (|:| |bsoln|
+          (-2 (|:| |partsol| (-1288 (-419 (-971 *9))))
+           (|:| -1593 (-656 (-1288 (-419 (-971 *9)))))))))
+   (-5 *1 (-943 *9 *10 *11 *12))))) 
+(((*1 *2 *1 *1)
+  (-12 (-5 *2 (-112)) (-5 *1 (-1224 *3)) (-4 *3 (-1121))))) 
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+  (-12 (-5 *2 (-701 *3)) (-4 *3 (-1070)) (-5 *1 (-702 *3))))) 
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+  (-12 (-14 *4 (-656 (-1197))) (-4 *2 (-174))
+   (-4 *3 (-243 (-3503 *4) (-783)))
+   (-14 *6
+    (-1 (-112) (-2 (|:| -3224 *5) (|:| -3422 *3))
+     (-2 (|:| -3224 *5) (|:| -3422 *3))))
+   (-5 *1 (-473 *4 *2 *5 *3 *6 *7)) (-4 *5 (-861))
+   (-4 *7 (-968 *2 *3 (-878 *4)))))) 
+(((*1 *2 *2)
+  (-12 (-5 *2 (-962 *3)) (-4 *3 (-13 (-374) (-1223) (-1023)))
+   (-5 *1 (-178 *3))))) 
+(((*1 *1 *1)
+  (-12 (-4 *1 (-1305 *2 *3)) (-4 *2 (-861)) (-4 *3 (-1070))))
+ ((*1 *1 *1)
+  (-12 (-5 *1 (-1311 *2 *3)) (-4 *2 (-1070)) (-4 *3 (-858))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-971 *5)) (-4 *5 (-1070)) (-5 *2 (-493 *4 *5))
-   (-5 *1 (-963 *4 *5)) (-14 *4 (-656 (-1197)))))) 
-(((*1 *2 *3 *4 *4 *5)
-  (-12 (-5 *3 (-1179)) (-5 *4 (-576)) (-5 *5 (-701 (-227)))
-   (-5 *2 (-1056)) (-5 *1 (-769))))) 
+  (-12 (-5 *2 (-430 (-1193 *1))) (-5 *1 (-326 *4)) (-5 *3 (-1193 *1))
+   (-4 *4 (-464)) (-4 *4 (-568)) (-4 *4 (-1121))))
+ ((*1 *2 *3)
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+(((*1 *2 *1)
+  (-12 (-4 *1 (-997 *3 *4 *5 *6)) (-4 *3 (-1070)) (-4 *4 (-805))
+   (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5)) (-5 *2 (-112))))) 
 (((*1 *1 *1) (-4 *1 (-557)))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-464))
-   (-5 *2
-    (-656
-     (-2 (|:| |eigval| (-3 (-419 (-971 *4)) (-1186 (-1197) (-971 *4))))
-      (|:| |eigmult| (-783))
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-   (-5 *1 (-302 *4)) (-5 *3 (-701 (-419 (-971 *4))))))) 
-(((*1 *1) (-5 *1 (-609)))) 
-(((*1 *1 *1 *2 *2)
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- ((*1 *1 *1 *2 *1 *2)
-  (-12 (-5 *2 (-576)) (-5 *1 (-137 *3 *4 *5)) (-14 *3 *2)
-   (-14 *4 (-783)) (-4 *5 (-174))))
- ((*1 *2 *2 *3)
-  (-12
-   (-5 *2
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-     (-253 *4 (-419 (-576)))))
-   (-5 *3 (-656 (-878 *4))) (-14 *4 (-656 (-1197))) (-14 *5 (-783))
-   (-5 *1 (-517 *4 *5))))) 
-(((*1 *1 *2) (-12 (-5 *2 (-831 *3)) (-4 *3 (-861)) (-5 *1 (-684 *3))))) 
-(((*1 *2) (-12 (-5 *2 (-656 (-1197))) (-5 *1 (-105))))) 
-(((*1 *1) (-5 *1 (-142)))) 
+(((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-946))))) 
+(((*1 *1 *1 *1)
+  (-12 (-4 *1 (-1264 *2)) (-4 *2 (-1070)) (-4 *2 (-568))))) 
+(((*1 *1 *1) (-4 *1 (-144)))
+ ((*1 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-159 *3 *2)) (-4 *2 (-442 *3))))
+ ((*1 *2 *2) (-12 (-5 *1 (-160 *2)) (-4 *2 (-557))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-1141)) (-5 *1 (-833))))) 
+(((*1 *1 *2)
+  (-12 (-5 *2 (-1288 *3)) (-4 *3 (-1070)) (-5 *1 (-724 *3 *4))
+   (-4 *4 (-1264 *3))))) 
+(((*1 *2 *2)
+  (|partial| -12 (-4 *3 (-568)) (-4 *3 (-174)) (-4 *4 (-384 *3))
+      (-4 *5 (-384 *3)) (-5 *1 (-700 *3 *4 *5 *2))
+      (-4 *2 (-699 *3 *4 *5))))) 
+(((*1 *2 *3 *3 *4 *5 *5)
+  (-12 (-5 *5 (-112)) (-4 *6 (-464)) (-4 *7 (-805)) (-4 *8 (-861))
+   (-4 *3 (-1086 *6 *7 *8))
+   (-5 *2 (-656 (-2 (|:| |val| *3) (|:| -3988 *4))))
+   (-5 *1 (-1129 *6 *7 *8 *3 *4)) (-4 *4 (-1092 *6 *7 *8 *3))))
+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *3 (-656 (-2 (|:| |val| (-656 *8)) (|:| -3988 *9))))
+   (-5 *5 (-112)) (-4 *8 (-1086 *6 *7 *4)) (-4 *9 (-1092 *6 *7 *4 *8))
+   (-4 *6 (-464)) (-4 *7 (-805)) (-4 *4 (-861))
+   (-5 *2 (-656 (-2 (|:| |val| *8) (|:| -3988 *9))))
+   (-5 *1 (-1129 *6 *7 *4 *8 *9))))) 
 (((*1 *2 *1 *3)
   (-12 (-5 *3 (-624 *1)) (-4 *1 (-442 *4)) (-4 *4 (-1121))
    (-4 *4 (-568)) (-5 *2 (-419 (-1193 *1)))))
@@ -14964,27 +14817,28 @@
    (-5 *1 (-969 *5 *4 *6 *7 *3))
    (-4 *3
     (-13 (-374)
-     (-10 -8 (-15 -3569 ($ *7)) (-15 -1570 (*7 $)) (-15 -1581 (*7 $)))))))
+     (-10 -8 (-15 -3570 ($ *7)) (-15 -1570 (*7 $)) (-15 -1581 (*7 $)))))))
  ((*1 *2 *3 *4 *2)
   (-12 (-5 *2 (-1193 *3))
    (-4 *3
     (-13 (-374)
-     (-10 -8 (-15 -3569 ($ *7)) (-15 -1570 (*7 $)) (-15 -1581 (*7 $)))))
+     (-10 -8 (-15 -3570 ($ *7)) (-15 -1570 (*7 $)) (-15 -1581 (*7 $)))))
    (-4 *7 (-968 *6 *5 *4)) (-4 *5 (-805)) (-4 *4 (-861))
    (-4 *6 (-1070)) (-5 *1 (-969 *5 *4 *6 *7 *3))))
  ((*1 *2 *3 *4)
   (-12 (-5 *4 (-1197)) (-4 *5 (-568))
    (-5 *2 (-419 (-1193 (-419 (-971 *5))))) (-5 *1 (-1064 *5))
    (-5 *3 (-419 (-971 *5)))))) 
-(((*1 *2 *1)
-  (-12 (-4 *3 (-374)) (-4 *4 (-1264 *3)) (-4 *5 (-1264 (-419 *4)))
-   (-5 *2 (-1288 *6)) (-5 *1 (-347 *3 *4 *5 *6))
-   (-4 *6 (-353 *3 *4 *5))))) 
-(((*1 *2 *2 *3)
-  (-12 (-4 *3 (-1070)) (-5 *1 (-456 *3 *2)) (-4 *2 (-1264 *3))))) 
-(((*1 *2)
-  (-12 (-4 *2 (-13 (-442 *3) (-1023))) (-5 *1 (-285 *3 *2))
-   (-4 *3 (-568))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-656 (-576))) (-5 *1 (-284))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-1193 *1)) (-5 *4 (-1197)) (-4 *1 (-27))
+   (-5 *2 (-656 *1))))
+ ((*1 *2 *3) (-12 (-5 *3 (-1193 *1)) (-4 *1 (-27)) (-5 *2 (-656 *1))))
+ ((*1 *2 *3) (-12 (-5 *3 (-971 *1)) (-4 *1 (-27)) (-5 *2 (-656 *1))))
+ ((*1 *2 *1 *3)
+  (-12 (-5 *3 (-1197)) (-4 *4 (-568)) (-5 *2 (-656 *1))
+   (-4 *1 (-29 *4))))
+ ((*1 *2 *1) (-12 (-4 *3 (-568)) (-5 *2 (-656 *1)) (-4 *1 (-29 *3))))) 
 (((*1 *1 *1) (-12 (-4 *1 (-384 *2)) (-4 *2 (-1238)) (-4 *2 (-861))))
  ((*1 *1 *2 *1)
   (-12 (-5 *2 (-1 (-112) *3 *3)) (-4 *1 (-384 *3)) (-4 *3 (-1238))))
@@ -14993,110 +14847,75 @@
  ((*1 *2 *1 *3)
   (-12 (-4 *4 (-1070)) (-4 *5 (-805)) (-4 *3 (-861))
    (-4 *6 (-1086 *4 *5 *3))
-   (-5 *2 (-2 (|:| |under| *1) (|:| -3416 *1) (|:| |upper| *1)))
+   (-5 *2 (-2 (|:| |under| *1) (|:| -2443 *1) (|:| |upper| *1)))
    (-4 *1 (-997 *4 *5 *3 *6))))) 
-(((*1 *2 *1 *3)
-  (|partial| -12 (-5 *3 (-907 *4)) (-4 *4 (-1121)) (-5 *2 (-112))
-      (-5 *1 (-904 *4 *5)) (-4 *5 (-1121))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *4 (-907 *5)) (-4 *5 (-1121)) (-5 *2 (-112))
-   (-5 *1 (-905 *5 *3)) (-4 *3 (-1238))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 *6)) (-5 *4 (-907 *5)) (-4 *5 (-1121))
-   (-4 *6 (-1238)) (-5 *2 (-112)) (-5 *1 (-905 *5 *6))))) 
-(((*1 *2 *3 *1)
-  (-12 (-4 *1 (-1092 *4 *5 *6 *3)) (-4 *4 (-464)) (-4 *5 (-805))
-   (-4 *6 (-861)) (-4 *3 (-1086 *4 *5 *6)) (-5 *2 (-112))))) 
-(((*1 *1 *1 *2)
-  (-12 (-5 *2 (-1 *4 *4)) (-4 *4 (-660 *3)) (-4 *3 (-1070))
-   (-5 *1 (-726 *3 *4))))
- ((*1 *1 *1 *2)
-  (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1070)) (-5 *1 (-848 *3))))) 
-(((*1 *2 *2 *2 *2 *2)
-  (-12 (-4 *2 (-13 (-374) (-10 -8 (-15 ** ($ $ (-419 (-576)))))))
-   (-5 *1 (-1149 *3 *2)) (-4 *3 (-1264 *2))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-1056))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-876)) (-5 *2 (-1293)) (-5 *1 (-1159))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-876))) (-5 *2 (-1293)) (-5 *1 (-1159))))) 
-(((*1 *2 *2)
-  (-12 (-5 *2 (-656 *7)) (-4 *7 (-1092 *3 *4 *5 *6)) (-4 *3 (-464))
-   (-4 *4 (-805)) (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5))
-   (-5 *1 (-1009 *3 *4 *5 *6 *7))))
- ((*1 *2 *2)
-  (-12 (-5 *2 (-656 *7)) (-4 *7 (-1092 *3 *4 *5 *6)) (-4 *3 (-464))
-   (-4 *4 (-805)) (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5))
-   (-5 *1 (-1128 *3 *4 *5 *6 *7))))) 
-(((*1 *2)
-  (-12 (-4 *2 (-13 (-442 *3) (-1023))) (-5 *1 (-285 *3 *2))
-   (-4 *3 (-568))))) 
-(((*1 *2 *1 *3)
-  (-12 (-5 *3 (-576)) (-5 *2 (-3 "nil" "sqfr" "irred" "prime"))
-   (-5 *1 (-430 *4)) (-4 *4 (-568))))) 
+(((*1 *1 *1 *1) (-12 (-5 *1 (-794 *2)) (-4 *2 (-1070))))) 
+(((*1 *2 *1 *3 *4)
+  (-12 (-5 *3 (-940)) (-5 *4 (-1179)) (-5 *2 (-1293)) (-5 *1 (-1289))))) 
+(((*1 *2 *2 *2)
+  (|partial| -12 (-4 *3 (-13 (-568) (-148))) (-5 *1 (-1258 *3 *2))
+      (-4 *2 (-1264 *3))))) 
+(((*1 *1 *1 *2 *3)
+  (-12 (-5 *2 (-656 (-783))) (-5 *3 (-173)) (-5 *1 (-1185 *4 *5))
+   (-14 *4 (-940)) (-4 *5 (-1070))))) 
+(((*1 *2 *3 *3 *3 *3 *3 *3 *3 *3 *4 *5 *5 *5 *5 *5 *5 *6 *6 *6 *3 *3 *5
+      *7 *3 *8)
+  (-12 (-5 *5 (-701 (-227))) (-5 *6 (-112)) (-5 *7 (-701 (-576)))
+   (-5 *8 (-3 (|:| |fn| (-400)) (|:| |fp| (-65 QPHESS))))
+   (-5 *3 (-576)) (-5 *4 (-227)) (-5 *2 (-1056)) (-5 *1 (-765))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-656 *5)) (-4 *5 (-442 *4)) (-4 *4 (-568))
+   (-5 *2 (-876)) (-5 *1 (-32 *4 *5))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-568)) (-4 *5 (-805)) (-4 *6 (-861))
+   (-4 *7 (-1086 *4 *5 *6))
+   (-5 *2 (-656 (-2 (|:| -1958 *1) (|:| -3257 (-656 *7)))))
+   (-5 *3 (-656 *7)) (-4 *1 (-1231 *4 *5 *6 *7))))) 
+(((*1 *1 *2 *3)
+  (-12 (-5 *2 (-783)) (-4 *3 (-1070)) (-4 *1 (-699 *3 *4 *5))
+   (-4 *4 (-384 *3)) (-4 *5 (-384 *3))))
+ ((*1 *1 *2)
+  (-12 (-4 *2 (-1070)) (-4 *1 (-1144 *3 *2 *4 *5)) (-4 *4 (-243 *3 *2))
+   (-4 *5 (-243 *3 *2))))) 
+(((*1 *2 *2 *3 *3)
+  (|partial| -12 (-5 *3 (-1197))
+      (-4 *4 (-13 (-317) (-148) (-1059 (-576)) (-651 (-576))))
+      (-5 *1 (-587 *4 *2))
+      (-4 *2 (-13 (-1223) (-978) (-1160) (-29 *4)))))) 
 (((*1 *1 *1) (-5 *1 (-876))) ((*1 *1 *1 *1) (-5 *1 (-876)))
  ((*1 *1 *2 *2) (-12 (-4 *1 (-1114 *2)) (-4 *2 (-1238))))
  ((*1 *1 *2) (-12 (-5 *1 (-1255 *2)) (-4 *2 (-1238))))) 
-(((*1 *2 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-492))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-834))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-171 (-227))) (-5 *4 (-576)) (-5 *2 (-1056))
-   (-5 *1 (-770))))) 
-(((*1 *2 *1)
-  (-12 (-4 *1 (-997 *3 *4 *5 *6)) (-4 *3 (-1070)) (-4 *4 (-805))
-   (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5)) (-4 *3 (-568))
-   (-5 *2 (-112))))) 
-(((*1 *2 *3)
-  (-12 (-4 *2 (-1264 *4)) (-5 *1 (-821 *4 *2 *3 *5))
-   (-4 *4 (-13 (-374) (-148) (-1059 (-419 (-576))))) (-4 *3 (-668 *2))
-   (-4 *5 (-668 (-419 *2)))))) 
-(((*1 *2 *3 *2)
-  (-12 (-5 *3 (-1193 *2)) (-4 *2 (-442 *4)) (-4 *4 (-568))
-   (-5 *1 (-32 *4 *2))))) 
-(((*1 *2)
-  (-12 (-4 *4 (-174)) (-5 *2 (-783)) (-5 *1 (-166 *3 *4))
-   (-4 *3 (-167 *4))))
- ((*1 *2)
-  (-12 (-14 *4 *2) (-4 *5 (-1238)) (-5 *2 (-783))
-   (-5 *1 (-242 *3 *4 *5)) (-4 *3 (-243 *4 *5))))
- ((*1 *2)
-  (-12 (-4 *4 (-1121)) (-5 *2 (-783)) (-5 *1 (-441 *3 *4))
-   (-4 *3 (-442 *4))))
- ((*1 *2) (-12 (-5 *2 (-783)) (-5 *1 (-556 *3)) (-4 *3 (-557))))
- ((*1 *2) (-12 (-4 *1 (-775)) (-5 *2 (-783))))
- ((*1 *2)
-  (-12 (-4 *4 (-174)) (-5 *2 (-783)) (-5 *1 (-808 *3 *4))
-   (-4 *3 (-809 *4))))
- ((*1 *2)
-  (-12 (-4 *4 (-568)) (-5 *2 (-783)) (-5 *1 (-1012 *3 *4))
-   (-4 *3 (-1013 *4))))
- ((*1 *2)
-  (-12 (-4 *4 (-174)) (-5 *2 (-783)) (-5 *1 (-1017 *3 *4))
-   (-4 *3 (-1018 *4))))
- ((*1 *2) (-12 (-5 *2 (-783)) (-5 *1 (-1032 *3)) (-4 *3 (-1033))))
- ((*1 *2) (-12 (-4 *1 (-1070)) (-5 *2 (-783))))
- ((*1 *2) (-12 (-5 *2 (-783)) (-5 *1 (-1080 *3)) (-4 *3 (-1081))))) 
+(((*1 *1 *2)
+  (-12 (-5 *2 (-419 (-576))) (-4 *1 (-566 *3))
+   (-4 *3 (-13 (-416) (-1223)))))
+ ((*1 *1 *2) (-12 (-4 *1 (-566 *2)) (-4 *2 (-13 (-416) (-1223)))))
+ ((*1 *1 *2 *2) (-12 (-4 *1 (-566 *2)) (-4 *2 (-13 (-416) (-1223)))))) 
+(((*1 *1 *1 *2) (-12 (-4 *1 (-732)) (-5 *2 (-940))))
+ ((*1 *1 *1 *2) (-12 (-4 *1 (-734)) (-5 *2 (-783))))) 
 (((*1 *2 *2)
-  (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2))
-   (-4 *2 (-13 (-442 *3) (-1223)))))) 
-(((*1 *2 *2 *3)
-  (-12 (-4 *4 (-805))
-   (-4 *3 (-13 (-861) (-10 -8 (-15 -4171 ((-1197) $))))) (-4 *5 (-568))
-   (-5 *1 (-744 *4 *3 *5 *2)) (-4 *2 (-968 (-419 (-971 *5)) *4 *3))))
- ((*1 *2 *2 *3)
-  (-12 (-4 *4 (-1070)) (-4 *5 (-805))
-   (-4 *3
-    (-13 (-861)
-     (-10 -8 (-15 -4171 ((-1197) $))
-      (-15 -3054 ((-3 $ "failed") (-1197))))))
-   (-5 *1 (-1005 *4 *5 *3 *2)) (-4 *2 (-968 (-971 *4) *5 *3))))
- ((*1 *2 *2 *3)
-  (-12 (-5 *3 (-656 *6))
-   (-4 *6
-    (-13 (-861)
-     (-10 -8 (-15 -4171 ((-1197) $))
-      (-15 -3054 ((-3 $ "failed") (-1197))))))
-   (-4 *4 (-1070)) (-4 *5 (-805)) (-5 *1 (-1005 *4 *5 *6 *2))
-   (-4 *2 (-968 (-971 *4) *5 *6))))) 
+  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1023)))))) 
+(((*1 *2 *3)
+  (-12
+   (-5 *3
+    (-656
+     (-2 (|:| -3734 (-783))
+      (|:| |eqns|
+           (-656
+            (-2 (|:| |det| *7) (|:| |rows| (-656 (-576)))
+             (|:| |cols| (-656 (-576))))))
+      (|:| |fgb| (-656 *7)))))
+   (-4 *7 (-968 *4 *6 *5)) (-4 *4 (-13 (-317) (-148)))
+   (-4 *5 (-13 (-861) (-626 (-1197)))) (-4 *6 (-805)) (-5 *2 (-783))
+   (-5 *1 (-943 *4 *5 *6 *7))))) 
+(((*1 *2 *1 *3)
+  (-12 (-5 *3 (-962 (-227))) (-5 *2 (-1293)) (-5 *1 (-480))))) 
+(((*1 *2 *1 *1)
+  (-12 (-5 *2 (-419 (-971 *3))) (-5 *1 (-465 *3 *4 *5 *6))
+   (-4 *3 (-568)) (-4 *3 (-174)) (-14 *4 (-940))
+   (-14 *5 (-656 (-1197))) (-14 *6 (-1288 (-701 *3)))))) 
+(((*1 *1)
+  (|partial| -12 (-4 *1 (-378 *2)) (-4 *2 (-568)) (-4 *2 (-174))))) 
 (((*1 *2 *2)
   (-12 (-5 *2 (-115)) (-4 *3 (-568)) (-5 *1 (-32 *3 *4))
    (-4 *4 (-442 *3))))
@@ -15124,105 +14943,159 @@
    (-4 *4 (-13 (-442 *3) (-1023) (-1223)))))
  ((*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-1040))))
  ((*1 *1 *2 *3) (-12 (-5 *3 (-55)) (-5 *1 (-1211 *2)) (-4 *2 (-1121))))) 
-(((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-479))))
- ((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-479))))
- ((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-946))))) 
-(((*1 *1 *1)
-  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-568)) (-4 *5 (-805)) (-4 *6 (-861))
-   (-4 *7 (-1086 *4 *5 *6))
-   (-5 *2 (-2 (|:| |goodPols| (-656 *7)) (|:| |badPols| (-656 *7))))
-   (-5 *1 (-998 *4 *5 *6 *7)) (-5 *3 (-656 *7))))) 
-(((*1 *2) (-12 (-5 *2 (-1293)) (-5 *1 (-815))))) 
-(((*1 *2 *3) (-12 (-5 *2 (-430 *3)) (-5 *1 (-570 *3)) (-4 *3 (-557))))
- ((*1 *2 *3)
-  (-12 (-4 *4 (-805)) (-4 *5 (-861)) (-4 *6 (-317)) (-5 *2 (-430 *3))
-   (-5 *1 (-754 *4 *5 *6 *3)) (-4 *3 (-968 *6 *4 *5))))
- ((*1 *2 *3)
-  (-12 (-4 *4 (-805)) (-4 *5 (-861)) (-4 *6 (-317))
-   (-4 *7 (-968 *6 *4 *5)) (-5 *2 (-430 (-1193 *7)))
-   (-5 *1 (-754 *4 *5 *6 *7)) (-5 *3 (-1193 *7))))
- ((*1 *2 *1)
-  (-12 (-4 *3 (-464)) (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861))
-   (-5 *2 (-430 *1)) (-4 *1 (-968 *3 *4 *5))))
- ((*1 *2 *3)
-  (-12 (-4 *4 (-861)) (-4 *5 (-805)) (-4 *6 (-464)) (-5 *2 (-430 *3))
-   (-5 *1 (-1000 *4 *5 *6 *3)) (-4 *3 (-968 *6 *5 *4))))
- ((*1 *2 *3)
-  (-12 (-4 *4 (-805)) (-4 *5 (-861)) (-4 *6 (-464))
-   (-4 *7 (-968 *6 *4 *5)) (-5 *2 (-430 (-1193 (-419 *7))))
-   (-5 *1 (-1192 *4 *5 *6 *7)) (-5 *3 (-1193 (-419 *7)))))
- ((*1 *2 *1) (-12 (-5 *2 (-430 *1)) (-4 *1 (-1242))))
- ((*1 *2 *3)
-  (-12 (-4 *4 (-568)) (-5 *2 (-430 *3)) (-5 *1 (-1267 *4 *3))
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-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
-   (-5 *1 (-769))))) 
+  (-12 (-4 *3 (-568)) (-5 *1 (-443 *3 *2)) (-4 *2 (-442 *3))))) 
 (((*1 *2 *3 *4 *5)
-  (-12 (-5 *5 (-112)) (-4 *4 (-13 (-374) (-860))) (-5 *2 (-430 *3))
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+   (-5 *2 (-656 (-2 (|:| |frac| (-419 *7)) (|:| -4027 *3))))
+   (-5 *1 (-821 *6 *7 *3 *8)) (-4 *3 (-668 *7))
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-  (|partial| -12 (-5 *4 (-1 *8 *8))
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-      (-5 *2
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-        (|:| |answer|
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-        (|:| |a0| *7)))
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- ((*1 *2 *1 *1)
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- ((*1 *1 *1)
-  (-12 (-5 *1 (-1280 *2 *3 *4)) (-4 *2 (-1070)) (-14 *3 (-1197))
-   (-14 *4 *2)))) 
+  (-12 (-5 *4 (-1 (-430 *6) *6)) (-4 *6 (-1264 *5))
+   (-4 *5 (-13 (-374) (-148) (-1059 (-576)) (-1059 (-419 (-576)))))
+   (-5 *2
+    (-656 (-2 (|:| |frac| (-419 *6)) (|:| -4027 (-666 *6 (-419 *6))))))
+   (-5 *1 (-824 *5 *6)) (-5 *3 (-666 *6 (-419 *6)))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-145))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-1242)) (-4 *5 (-1264 *4))
+   (-5 *2 (-2 (|:| -1714 (-419 *5)) (|:| |poly| *3)))
+   (-5 *1 (-149 *4 *5 *3)) (-4 *3 (-1264 (-419 *5)))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-1215 *4 *5))
+   (-4 *4 (-1121)) (-4 *5 (-1121))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-437 *3)) (-4 *3 (-1121)) (-5 *2 (-783))))) 
+(((*1 *2 *3 *1) (-12 (-5 *3 (-1197)) (-5 *2 (-1201)) (-5 *1 (-1200))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-656 *2)) (-5 *1 (-1212 *2)) (-4 *2 (-374))))) 
 (((*1 *2 *3 *1)
   (-12 (-5 *3 (-1312 *4 *2)) (-4 *1 (-385 *4 *2)) (-4 *4 (-861))
    (-4 *2 (-174))))
@@ -15387,29 +15199,42 @@
    (-4 *2 (-1070))))
  ((*1 *2 *1 *3)
   (-12 (-4 *2 (-1070)) (-5 *1 (-1311 *2 *3)) (-4 *3 (-858))))) 
-(((*1 *1) (-5 *1 (-227))) ((*1 *1) (-5 *1 (-390)))) 
 (((*1 *2 *2)
-  (-12 (-5 *2 (-1288 *1)) (-4 *1 (-353 *3 *4 *5)) (-4 *3 (-1242))
-   (-4 *4 (-1264 *3)) (-4 *5 (-1264 (-419 *4)))))) 
-(((*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-1121)) (-5 *1 (-924 *3))))) 
-(((*1 *2 *3 *2)
-  (-12 (-5 *2 (-888)) (-5 *3 (-656 (-270))) (-5 *1 (-268))))) 
+  (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1223)))))) 
+(((*1 *2)
+  (-12 (-4 *3 (-464)) (-4 *4 (-805)) (-4 *5 (-861))
+   (-4 *6 (-1086 *3 *4 *5)) (-5 *2 (-1293))
+   (-5 *1 (-1093 *3 *4 *5 *6 *7)) (-4 *7 (-1092 *3 *4 *5 *6))))
+ ((*1 *2)
+  (-12 (-4 *3 (-464)) (-4 *4 (-805)) (-4 *5 (-861))
+   (-4 *6 (-1086 *3 *4 *5)) (-5 *2 (-1293))
+   (-5 *1 (-1129 *3 *4 *5 *6 *7)) (-4 *7 (-1092 *3 *4 *5 *6))))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *3 (-576)) (-5 *4 (-430 *2)) (-4 *2 (-968 *7 *5 *6))
-   (-5 *1 (-754 *5 *6 *7 *2)) (-4 *5 (-805)) (-4 *6 (-861))
-   (-4 *7 (-317))))) 
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-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-541))))) 
-(((*1 *2 *1 *3)
-  (-12 (-5 *3 (-783)) (-4 *1 (-1264 *4)) (-4 *4 (-1070))
-   (-5 *2 (-1288 *4))))) 
+  (-12 (-5 *4 (-1 *6 *6)) (-4 *6 (-1264 *5)) (-4 *5 (-374))
+   (-5 *2
+    (-2 (|:| |ir| (-598 (-419 *6))) (|:| |specpart| (-419 *6))
+     (|:| |polypart| *6)))
+   (-5 *1 (-586 *5 *6)) (-5 *3 (-419 *6))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-384 *3)) (-4 *3 (-1238)) (-4 *3 (-861)) (-5 *2 (-112))))
+ ((*1 *2 *3 *1)
+  (-12 (-5 *3 (-1 (-112) *4 *4)) (-4 *1 (-384 *4)) (-4 *4 (-1238))
+   (-5 *2 (-112))))) 
+(((*1 *2 *1 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-1290))))) 
 (((*1 *1 *2)
-  (-12 (-5 *2 (-656 *1)) (-4 *1 (-1155 *3)) (-4 *3 (-1070))))
- ((*1 *2 *2 *1)
-  (|partial| -12 (-5 *2 (-419 *1)) (-4 *1 (-1264 *3)) (-4 *3 (-1070))
-      (-4 *3 (-568))))
- ((*1 *1 *1 *1)
-  (|partial| -12 (-4 *1 (-1264 *2)) (-4 *2 (-1070)) (-4 *2 (-568))))) 
+  (-12 (-5 *2 (-656 (-576))) (-5 *1 (-1025 *3)) (-14 *3 (-576))))) 
+(((*1 *2)
+  (-12 (-4 *4 (-174)) (-5 *2 (-112)) (-5 *1 (-377 *3 *4))
+   (-4 *3 (-378 *4))))
+ ((*1 *2) (-12 (-4 *1 (-378 *3)) (-4 *3 (-174)) (-5 *2 (-112))))) 
+(((*1 *2)
+  (-12 (-4 *4 (-174)) (-5 *2 (-112)) (-5 *1 (-377 *3 *4))
+   (-4 *3 (-378 *4))))
+ ((*1 *2) (-12 (-4 *1 (-378 *3)) (-4 *3 (-174)) (-5 *2 (-112))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *2 (-1288 *4)) (-5 *3 (-576)) (-4 *4 (-360))
+   (-5 *1 (-540 *4))))) 
 (((*1 *2 *3 *4 *5)
   (-12 (-5 *3 (-894 (-1 (-227) (-227)))) (-5 *4 (-1115 (-390)))
    (-5 *5 (-656 (-270))) (-5 *2 (-1154 (-227))) (-5 *1 (-262))))
@@ -15463,62 +15288,59 @@
   (-12 (-5 *3 (-897 *5)) (-5 *4 (-1113 (-390)))
    (-4 *5 (-13 (-626 (-548)) (-1121))) (-5 *2 (-1154 (-227)))
    (-5 *1 (-266 *5))))) 
-(((*1 *1 *1) (-12 (-4 *1 (-1016 *2)) (-4 *2 (-1238))))) 
-(((*1 *2 *2)
-  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
-   (-4 *2 (-13 (-442 *3) (-1023)))))) 
+(((*1 *1 *1) (-12 (-4 *1 (-292 *2)) (-4 *2 (-1238)) (-4 *2 (-1121))))
+ ((*1 *1 *1) (-12 (-4 *1 (-707 *2)) (-4 *2 (-1121))))) 
+(((*1 *2 *2 *2 *2)
+  (-12 (-5 *2 (-701 *3)) (-4 *3 (-1070)) (-5 *1 (-702 *3))))) 
+(((*1 *1 *1 *1 *1) (-4 *1 (-557)))) 
 (((*1 *2 *2)
-  (-12 (-4 *3 (-13 (-568) (-1059 (-576)))) (-5 *1 (-190 *3 *2))
-   (-4 *2 (-13 (-27) (-1223) (-442 (-171 *3))))))
- ((*1 *2 *2 *3)
-  (-12 (-5 *3 (-1197)) (-4 *4 (-13 (-568) (-1059 (-576))))
-   (-5 *1 (-190 *4 *2)) (-4 *2 (-13 (-27) (-1223) (-442 (-171 *4))))))
- ((*1 *2 *2)
-  (-12 (-4 *3 (-13 (-464) (-1059 (-576)) (-651 (-576))))
-   (-5 *1 (-1227 *3 *2)) (-4 *2 (-13 (-27) (-1223) (-442 *3)))))
- ((*1 *2 *2 *3)
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-   (-4 *4 (-13 (-464) (-1059 (-576)) (-651 (-576))))
-   (-5 *1 (-1227 *4 *2)) (-4 *2 (-13 (-27) (-1223) (-442 *4)))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-701 (-171 (-419 (-576)))))
-   (-5 *2
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-      (|:| |outvect| (-656 (-701 (-171 *4)))))))
-   (-5 *1 (-776 *4)) (-4 *4 (-13 (-374) (-860)))))) 
+  (-12 (-5 *2 (-962 *3)) (-4 *3 (-13 (-374) (-1223) (-1023)))
+   (-5 *1 (-178 *3))))) 
 (((*1 *2 *1)
   (-12 (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1238)) (-4 *4 (-384 *3))
    (-4 *5 (-384 *3)) (-5 *2 (-783))))
  ((*1 *2 *1)
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-   (-5 *2 (-1056)) (-5 *1 (-764))))) 
+(((*1 *2 *1) (-12 (-5 *1 (-598 *2)) (-4 *2 (-374))))) 
+(((*1 *2 *3 *2) (-12 (-5 *3 (-783)) (-5 *1 (-870 *2)) (-4 *2 (-174))))
+ ((*1 *2 *3 *3 *2)
+  (-12 (-5 *3 (-783)) (-5 *1 (-870 *2)) (-4 *2 (-174))))) 
+(((*1 *2 *3 *4 *4 *4 *5 *4 *6 *6 *3)
+  (-12 (-5 *4 (-701 (-227))) (-5 *5 (-701 (-576))) (-5 *6 (-227))
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+(((*1 *2 *3 *4 *5 *5 *5 *5 *4 *6)
+  (-12 (-5 *4 (-576)) (-5 *6 (-1 (-1293) (-1288 *5) (-1288 *5) (-390)))
+   (-5 *3 (-1288 (-390))) (-5 *5 (-390)) (-5 *2 (-1293))
+   (-5 *1 (-800))))) 
+(((*1 *1 *1)
+  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
+(((*1 *2 *3 *3)
+  (-12 (-5 *3 (-1261 *5 *4)) (-4 *4 (-832)) (-14 *5 (-1197))
+   (-5 *2 (-656 *4)) (-5 *1 (-1135 *4 *5))))) 
+(((*1 *2 *2)
+  (-12 (-5 *2 (-962 *3)) (-4 *3 (-13 (-374) (-1223) (-1023)))
+   (-5 *1 (-178 *3))))) 
 (((*1 *2)
-  (-12 (-5 *2 (-112)) (-5 *1 (-1215 *3 *4)) (-4 *3 (-1121))
+  (-12 (-5 *2 (-1293)) (-5 *1 (-1215 *3 *4)) (-4 *3 (-1121))
    (-4 *4 (-1121))))) 
-(((*1 *2 *3 *2 *4)
-  (-12 (-5 *3 (-115)) (-5 *4 (-783))
-   (-4 *5 (-13 (-464) (-1059 (-576)))) (-4 *5 (-568))
-   (-5 *1 (-41 *5 *2)) (-4 *2 (-442 *5))
-   (-4 *2
-    (-13 (-374) (-312)
-     (-10 -8 (-15 -1570 ((-1146 *5 (-624 $)) $))
-      (-15 -1581 ((-1146 *5 (-624 $)) $))
-      (-15 -3569 ($ (-1146 *5 (-624 $)))))))))) 
-(((*1 *2 *2 *3)
-  (-12 (-5 *3 (-783)) (-4 *4 (-374)) (-5 *1 (-913 *2 *4))
-   (-4 *2 (-1264 *4))))) 
-(((*1 *2) (-12 (-4 *3 (-174)) (-5 *2 (-1288 *1)) (-4 *1 (-378 *3))))) 
-(((*1 *1 *1 *2 *3)
-  (-12 (-5 *2 (-1197)) (-5 *3 (-390)) (-5 *1 (-1084))))) 
-(((*1 *2 *3)
-  (-12 (-5 *2 (-576)) (-5 *1 (-457 *3)) (-4 *3 (-416)) (-4 *3 (-1070))))) 
+(((*1 *2 *1)
+  (|partial| -12 (-4 *3 (-25)) (-4 *3 (-1121)) (-5 *2 (-656 *1))
+      (-4 *1 (-442 *3))))
+ ((*1 *2 *1)
+  (|partial| -12 (-5 *2 (-656 (-907 *3))) (-5 *1 (-907 *3))
+      (-4 *3 (-1121))))
+ ((*1 *2 *1)
+  (|partial| -12 (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861))
+      (-5 *2 (-656 *1)) (-4 *1 (-968 *3 *4 *5))))
+ ((*1 *2 *3)
+  (|partial| -12 (-4 *4 (-805)) (-4 *5 (-861)) (-4 *6 (-1070))
+      (-4 *7 (-968 *6 *4 *5)) (-5 *2 (-656 *3))
+      (-5 *1 (-969 *4 *5 *6 *7 *3))
+      (-4 *3
+       (-13 (-374)
+        (-10 -8 (-15 -3570 ($ *7)) (-15 -1570 (*7 $))
+         (-15 -1581 (*7 $)))))))) 
 (((*1 *2 *1)
   (-12 (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1238)) (-4 *4 (-384 *3))
    (-4 *5 (-384 *3)) (-5 *2 (-783))))
@@ -15526,121 +15348,87 @@
   (-12 (-4 *1 (-1074 *3 *4 *5 *6 *7)) (-4 *5 (-1070))
    (-4 *6 (-243 *4 *5)) (-4 *7 (-243 *3 *5)) (-5 *2 (-783))))) 
 (((*1 *1) (-5 *1 (-301)))) 
-(((*1 *1 *2)
-  (-12 (-5 *2 (-656 *5)) (-4 *5 (-174)) (-5 *1 (-137 *3 *4 *5))
-   (-14 *3 (-576)) (-14 *4 (-783))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-2 (|:| -4239 (-419 (-576))) (|:| -4249 (-419 (-576)))))
-   (-5 *2 (-419 (-576))) (-5 *1 (-1041 *4)) (-4 *4 (-1264 (-576)))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-566 *2)) (-4 *2 (-13 (-416) (-1223)))))
- ((*1 *1 *1 *1) (-4 *1 (-805)))) 
-(((*1 *2 *2) (-12 (-5 *2 (-656 (-326 (-227)))) (-5 *1 (-276))))) 
-(((*1 *2)
-  (-12 (-4 *4 (-374)) (-5 *2 (-940)) (-5 *1 (-338 *3 *4))
-   (-4 *3 (-339 *4))))
- ((*1 *2)
-  (-12 (-4 *4 (-374)) (-5 *2 (-845 (-940))) (-5 *1 (-338 *3 *4))
-   (-4 *3 (-339 *4))))
- ((*1 *2) (-12 (-4 *1 (-339 *3)) (-4 *3 (-374)) (-5 *2 (-940))))
- ((*1 *2)
-  (-12 (-4 *1 (-1307 *3)) (-4 *3 (-374)) (-5 *2 (-845 (-940)))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-576)) (-5 *1 (-876))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-158))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-962 *2)) (-5 *1 (-1003 *2)) (-4 *2 (-1070))))) 
 (((*1 *2 *1)
+  (-12 (-4 *3 (-1070)) (-5 *2 (-656 *1)) (-4 *1 (-1155 *3))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-945))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-1 *5 (-656 *5))) (-4 *5 (-1279 *4))
+   (-4 *4 (-38 (-419 (-576))))
+   (-5 *2 (-1 (-1178 *4) (-656 (-1178 *4)))) (-5 *1 (-1281 *4 *5))))) 
+(((*1 *1) (-5 *1 (-301)))) 
+(((*1 *2 *3)
+  (-12 (-5 *2 (-576)) (-5 *1 (-457 *3)) (-4 *3 (-416)) (-4 *3 (-1070))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-446))))) 
+(((*1 *2 *3 *4)
+  (-12 (-4 *4 (-374)) (-5 *2 (-656 (-1178 *4))) (-5 *1 (-295 *4 *5))
+   (-5 *3 (-1178 *4)) (-4 *5 (-1279 *4))))) 
+(((*1 *2 *3)
   (-12
-   (-5 *2
-    (-656
-     (-2
-      (|:| -4300
-           (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227)))
-            (|:| -3343 (-1115 (-855 (-227)))) (|:| |abserr| (-227))
-            (|:| |relerr| (-227))))
-      (|:| -4438
-           (-2
-            (|:| |endPointContinuity|
-                 (-3 (|:| |continuous| "Continuous at the end points")
-                  (|:| |lowerSingular|
-                       "There is a singularity at the lower end point")
-                  (|:| |upperSingular|
-                       "There is a singularity at the upper end point")
-                  (|:| |bothSingular|
-                       "There are singularities at both end points")
-                  (|:| |notEvaluated|
-                       "End point continuity not yet evaluated")))
-            (|:| |singularitiesStream|
-                 (-3 (|:| |str| (-1178 (-227)))
-                  (|:| |notEvaluated|
-                       "Internal singularities not yet evaluated")))
-            (|:| -3343
-                 (-3 (|:| |finite| "The range is finite")
-                  (|:| |lowerInfinite|
-                       "The bottom of range is infinite")
-                  (|:| |upperInfinite| "The top of range is infinite")
-                  (|:| |bothInfinite|
-                       "Both top and bottom points are infinite")
-                  (|:| |notEvaluated| "Range not yet evaluated"))))))))
-   (-5 *1 (-571))))
- ((*1 *2 *1)
-  (-12 (-4 *1 (-616 *3 *4)) (-4 *3 (-1121)) (-4 *4 (-1238))
-   (-5 *2 (-656 *4))))) 
-(((*1 *2 *3 *4 *5)
-  (-12 (-5 *3 (-783)) (-4 *6 (-374)) (-5 *4 (-1232 *6))
-   (-5 *2 (-1 (-1178 *4) (-1178 *4))) (-5 *1 (-1296 *6))
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-(((*1 *2 *3 *4 *5)
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-   (-4 *3 (-317))))) 
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  ((*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-157))))
  ((*1 *2 *1) (-12 (-5 *1 (-304 *2)) (-4 *2 (-1238))))
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 (((*1 *2 *1)
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-   (-4 *2 (-861))))) 
+  (-12 (-4 *1 (-707 *3)) (-4 *3 (-1121))
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+   (-5 *2 (-656 *3))))
+ ((*1 *2 *1)
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+   (-5 *2 (-656 *3))))
+ ((*1 *2 *1)
+  (-12 (-5 *2 (-1178 *3)) (-5 *1 (-608 *3)) (-4 *3 (-1070))))
+ ((*1 *2 *1)
+  (-12 (-5 *2 (-656 *3)) (-5 *1 (-747 *3 *4)) (-4 *3 (-1070))
+   (-4 *4 (-738))))
+ ((*1 *2 *1) (-12 (-4 *1 (-866 *3)) (-4 *3 (-1070)) (-5 *2 (-656 *3))))
+ ((*1 *2 *1)
+  (-12 (-4 *1 (-1279 *3)) (-4 *3 (-1070)) (-5 *2 (-1178 *3))))) 
+(((*1 *2 *3 *4 *3)
+  (|partial| -12 (-5 *4 (-1197))
+      (-4 *5 (-13 (-568) (-1059 (-576)) (-148)))
+      (-5 *2
+       (-2 (|:| -1698 (-419 (-971 *5))) (|:| |coeff| (-419 (-971 *5)))))
+      (-5 *1 (-582 *5)) (-5 *3 (-419 (-971 *5)))))) 
 (((*1 *2 *1) (-12 (-5 *2 (-1156)) (-5 *1 (-1172))))) 
 (((*1 *2 *2 *2) (-12 (-5 *2 (-1056)) (-5 *1 (-315))))
  ((*1 *2 *3)
@@ -15937,144 +15755,77 @@
    (-4 *4 (-1238))))
  ((*1 *1 *2 *1) (-12 (-4 *1 (-1276 *2)) (-4 *2 (-1238))))
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- ((*1 *2 *2 *3 *4)
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-   (-5 *1 (-671 *5 *2)) (-4 *2 (-668 *5))))) 
-(((*1 *2 *2 *2)
-  (|partial| -12 (-4 *3 (-374)) (-5 *1 (-913 *2 *3))
-      (-4 *2 (-1264 *3))))) 
-(((*1 *2 *3 *3 *1)
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-(((*1 *1 *2 *3)
-  (-12
-   (-5 *3
-    (-656
-     (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| *2)
-      (|:| |xpnt| (-576)))))
-   (-4 *2 (-568)) (-5 *1 (-430 *2))))
- ((*1 *2 *3)
-  (-12
-   (-5 *3
-    (-2 (|:| |contp| (-576))
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-   (-4 *4 (-1264 (-576))) (-5 *2 (-430 *4)) (-5 *1 (-454 *4))))) 
+(((*1 *2 *2 *3 *4)
+  (-12 (-5 *2 (-656 *8)) (-5 *3 (-1 (-112) *8 *8))
+   (-5 *4 (-1 *8 *8 *8)) (-4 *8 (-1086 *5 *6 *7)) (-4 *5 (-568))
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+   (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5)) (-5 *2 (-112))))
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 (((*1 *2) (-12 (-5 *2 (-845 (-576))) (-5 *1 (-546))))
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 (((*1 *2 *3)
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-(((*1 *2 *1)
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-(((*1 *2 *1)
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-  (-12 (-4 *1 (-397 *3)) (-4 *3 (-1121))
-   (-5 *2 (-656 (-2 (|:| |gen| *3) (|:| -4103 (-783)))))))
+    (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| |subResultant| *3)))
+   (-5 *1 (-990 *4 *3)) (-4 *3 (-1264 *4))))) 
+(((*1 *1 *1 *1) (-12 (-4 *1 (-668 *2)) (-4 *2 (-1070)) (-4 *2 (-374))))
+ ((*1 *2 *2 *2 *3)
+  (-12 (-5 *3 (-1 *4 *4)) (-4 *4 (-374)) (-5 *1 (-671 *4 *2))
+   (-4 *2 (-668 *4))))) 
+(((*1 *2 *2 *2)
+  (-12 (-5 *2 (-701 *3))
+   (-4 *3 (-13 (-317) (-10 -8 (-15 -3921 ((-430 $) $)))))
+   (-4 *4 (-1264 *3)) (-5 *1 (-511 *3 *4 *5)) (-4 *5 (-421 *3 *4))))
+ ((*1 *2 *2 *2 *3)
+  (-12 (-5 *2 (-701 *3))
+   (-4 *3 (-13 (-317) (-10 -8 (-15 -3921 ((-430 $) $)))))
+   (-4 *4 (-1264 *3)) (-5 *1 (-511 *3 *4 *5)) (-4 *5 (-421 *3 *4))))) 
+(((*1 *2 *1 *3)
+  (-12 (-5 *3 (-656 *1)) (-4 *1 (-1086 *4 *5 *6)) (-4 *4 (-1070))
+   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))))
+ ((*1 *2 *1 *1)
+  (-12 (-4 *1 (-1086 *3 *4 *5)) (-4 *3 (-1070)) (-4 *4 (-805))
+   (-4 *5 (-861)) (-5 *2 (-112))))
  ((*1 *2 *1)
-  (-12 (-5 *2 (-656 (-2 (|:| -1828 *3) (|:| -4210 (-576)))))
-   (-5 *1 (-430 *3)) (-4 *3 (-568))))) 
+  (-12 (-4 *1 (-1231 *3 *4 *5 *6)) (-4 *3 (-568)) (-4 *4 (-805))
+   (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5)) (-5 *2 (-112))))
+ ((*1 *2 *3 *1)
+  (-12 (-4 *1 (-1231 *4 *5 *6 *3)) (-4 *4 (-568)) (-4 *5 (-805))
+   (-4 *6 (-861)) (-4 *3 (-1086 *4 *5 *6)) (-5 *2 (-112))))) 
+(((*1 *1 *1 *2)
+  (-12 (-5 *2 (-419 (-576))) (-5 *1 (-607 *3)) (-4 *3 (-38 *2))
+   (-4 *3 (-1070))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-1193 *4)) (-4 *4 (-360)) (-5 *2 (-977 (-1141)))
+   (-5 *1 (-357 *4))))) 
 (((*1 *2)
   (-12 (-4 *2 (-13 (-442 *3) (-1023))) (-5 *1 (-285 *3 *2))
    (-4 *3 (-568))))
@@ -16082,52 +15833,89 @@
   (-12 (-5 *1 (-350 *2 *3 *4)) (-14 *2 (-656 (-1197)))
    (-14 *3 (-656 (-1197))) (-4 *4 (-399))))
  ((*1 *1) (-5 *1 (-489))) ((*1 *1) (-4 *1 (-1223)))) 
-(((*1 *2 *3 *4)
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-(((*1 *2 *1 *1)
-  (-12 (-4 *3 (-568)) (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861))
-   (-5 *2 (-656 *1)) (-4 *1 (-1086 *3 *4 *5))))) 
-(((*1 *2 *3)
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-   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-1293))
-   (-5 *1 (-461 *4 *5 *6 *7))))) 
-(((*1 *2 *2 *3 *4)
-  (|partial| -12 (-5 *3 (-783)) (-4 *4 (-13 (-568) (-148)))
-      (-5 *1 (-1258 *4 *2)) (-4 *2 (-1264 *4))))) 
+(((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-573))))) 
+(((*1 *2 *3 *4 *5 *5 *6)
+  (-12 (-5 *4 (-1197)) (-5 *6 (-112))
+   (-4 *7 (-13 (-317) (-148) (-1059 (-576)) (-651 (-576))))
+   (-4 *3 (-13 (-1223) (-978) (-29 *7)))
+   (-5 *2
+    (-3 (|:| |f1| (-855 *3)) (|:| |f2| (-656 (-855 *3)))
+     (|:| |fail| "failed") (|:| |pole| "potentialPole")))
+   (-5 *1 (-221 *7 *3)) (-5 *5 (-855 *3))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-107 *2)) (-4 *2 (-1238))))) 
+(((*1 *2 *1)
+  (-12 (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861)) (-5 *2 (-656 *1))
+   (-4 *1 (-1086 *3 *4 *5))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-656 (-876))) (-5 *1 (-876))))) 
 (((*1 *2 *2)
-  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
-   (-4 *2 (-13 (-442 *3) (-1023)))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-1276 *3)) (-4 *3 (-1238)) (-5 *2 (-783))))) 
+  (-12 (-4 *3 (-317)) (-4 *4 (-384 *3)) (-4 *5 (-384 *3))
+   (-5 *1 (-1145 *3 *4 *5 *2)) (-4 *2 (-699 *3 *4 *5))))) 
+(((*1 *2 *2)
+  (-12 (-5 *2 (-1288 *4)) (-4 *4 (-429 *3)) (-4 *3 (-317))
+   (-4 *3 (-568)) (-5 *1 (-43 *3 *4))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-940)) (-4 *4 (-374)) (-5 *2 (-1288 *1))
+   (-4 *1 (-339 *4))))
+ ((*1 *2) (-12 (-4 *3 (-374)) (-5 *2 (-1288 *1)) (-4 *1 (-339 *3))))
+ ((*1 *2)
+  (-12 (-4 *3 (-174)) (-4 *4 (-1264 *3)) (-5 *2 (-1288 *1))
+   (-4 *1 (-421 *3 *4))))
+ ((*1 *2 *1)
+  (-12 (-4 *3 (-317)) (-4 *4 (-1013 *3)) (-4 *5 (-1264 *4))
+   (-5 *2 (-1288 *6)) (-5 *1 (-425 *3 *4 *5 *6))
+   (-4 *6 (-13 (-421 *4 *5) (-1059 *4)))))
+ ((*1 *2 *1)
+  (-12 (-4 *3 (-317)) (-4 *4 (-1013 *3)) (-4 *5 (-1264 *4))
+   (-5 *2 (-1288 *6)) (-5 *1 (-426 *3 *4 *5 *6 *7))
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+ ((*1 *2) (-12 (-4 *3 (-174)) (-5 *2 (-1288 *1)) (-4 *1 (-429 *3))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-940)) (-5 *2 (-1288 (-1288 *4))) (-5 *1 (-540 *4))
+   (-4 *4 (-360))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-1288 *5)) (-4 *5 (-13 (-1070) (-651 *4)))
-   (-4 *4 (-568)) (-5 *2 (-112)) (-5 *1 (-650 *4 *5))))) 
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-(((*1 *2 *3 *4 *5)
-  (-12 (-5 *5 (-1197))
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-   (-4 *4 (-13 (-29 *6) (-1223) (-978)))
-   (-5 *2 (-2 (|:| |particular| *4) (|:| -3454 (-656 *4))))
-   (-5 *1 (-813 *6 *4 *3)) (-4 *3 (-668 *4))))) 
-(((*1 *2 *3 *4 *4 *4 *5 *4 *5 *5 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *5 (-227))
-   (-5 *2 (-1056)) (-5 *1 (-763))))) 
+  (-12
+   (-5 *3
+    (-2 (|:| |xinit| (-227)) (|:| |xend| (-227))
+     (|:| |fn| (-1288 (-326 (-227)))) (|:| |yinit| (-656 (-227)))
+     (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227)))
+     (|:| |abserr| (-227)) (|:| |relerr| (-227))))
+   (-5 *2
+    (-2 (|:| |stiffnessFactor| (-390)) (|:| |stabilityFactor| (-390))))
+   (-5 *1 (-207))))) 
+(((*1 *2 *3 *2)
+  (-12 (-5 *3 (-783)) (-5 *1 (-870 *2)) (-4 *2 (-38 (-419 (-576))))
+   (-4 *2 (-174))))) 
+(((*1 *1) (-12 (-5 *1 (-229 *2)) (-4 *2 (-13 (-374) (-1223)))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *4 (-112))
+   (-5 *2
+    (-2 (|:| |contp| (-576))
+     (|:| -2761 (-656 (-2 (|:| |irr| *3) (|:| -2567 (-576)))))))
+   (-5 *1 (-454 *3)) (-4 *3 (-1264 (-576)))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *4 (-112))
+   (-5 *2
+    (-2 (|:| |contp| (-576))
+     (|:| -2761 (-656 (-2 (|:| |irr| *3) (|:| -2567 (-576)))))))
+   (-5 *1 (-1253 *3)) (-4 *3 (-1264 (-576)))))) 
+(((*1 *2 *3 *4)
+  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
+   (-4 *3 (-1086 *5 *6 *7)) (-5 *2 (-656 *4))
+   (-5 *1 (-1129 *5 *6 *7 *3 *4)) (-4 *4 (-1092 *5 *6 *7 *3))))) 
+(((*1 *1 *2 *3)
+  (-12 (-5 *2 (-904 *4 *5)) (-5 *3 (-904 *4 *6)) (-4 *4 (-1121))
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+(((*1 *1 *2) (-12 (-5 *2 (-1179)) (-5 *1 (-503))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-301)) (-5 *1 (-290))))) 
+(((*1 *1 *1)
+  (-12 (-4 *1 (-1231 *2 *3 *4 *5)) (-4 *2 (-568)) (-4 *3 (-805))
+   (-4 *4 (-861)) (-4 *5 (-1086 *2 *3 *4))))) 
 (((*1 *2 *1)
-  (-12 (-5 *2 (-656 (-2 (|:| |gen| *3) (|:| -4103 *4))))
-   (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1121)) (-4 *4 (-23)) (-14 *5 *4)))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-656 *2)) (-4 *2 (-442 *4)) (-5 *1 (-159 *4 *2))
-   (-4 *4 (-568))))) 
-(((*1 *2 *2) (|partial| -12 (-4 *1 (-1004 *2)) (-4 *2 (-1223))))) 
+  (-12 (-4 *1 (-1231 *3 *4 *5 *6)) (-4 *3 (-568)) (-4 *4 (-805))
+   (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5)) (-5 *2 (-656 *5))))) 
+(((*1 *1 *1 *2)
+  (-12 (-5 *2 (-656 (-783))) (-5 *1 (-1185 *3 *4)) (-14 *3 (-940))
+   (-4 *4 (-1070))))) 
 (((*1 *2 *1) (-12 (-5 *2 (-1146 (-576) (-624 (-48)))) (-5 *1 (-48))))
  ((*1 *2 *1)
   (-12 (-4 *3 (-1013 *2)) (-4 *4 (-1264 *3)) (-4 *2 (-317))
@@ -16143,25 +15931,51 @@
   (-12 (-4 *4 (-174)) (-4 *2 (|SubsetCategory| (-738) *4))
    (-5 *1 (-674 *3 *4 *2)) (-4 *3 (-729 *4))))
  ((*1 *2 *1) (-12 (-4 *1 (-1013 *2)) (-4 *2 (-568))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-576))) (-5 *2 (-923 (-576))) (-5 *1 (-936))))
- ((*1 *2) (-12 (-5 *2 (-923 (-576))) (-5 *1 (-936))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-1114 *2)) (-4 *2 (-1238))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1178 *3)) (-5 *1 (-176 *3)) (-4 *3 (-317))))) 
-(((*1 *2) (-12 (-5 *2 (-940)) (-5 *1 (-1291))))
- ((*1 *2 *2) (-12 (-5 *2 (-940)) (-5 *1 (-1291))))) 
-(((*1 *2 *1 *1)
-  (-12 (-4 *1 (-997 *3 *4 *5 *6)) (-4 *3 (-1070)) (-4 *4 (-805))
-   (-4 *5 (-861)) (-4 *6 (-1086 *3 *4 *5)) (-4 *3 (-568))
-   (-5 *2 (-112))))) 
-(((*1 *2 *1 *3)
-  (-12 (-5 *3 (-656 (-962 *4))) (-4 *1 (-1155 *4)) (-4 *4 (-1070))
-   (-5 *2 (-783))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-568)) (-5 *2 (-112))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-430 *3)) (-4 *3 (-568))))
+(((*1 *1 *2 *3 *1)
+  (-12 (-5 *2 (-907 *4)) (-4 *4 (-1121)) (-5 *1 (-904 *4 *3))
+   (-4 *3 (-1121))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-112)) (-5 *1 (-50 *3 *4)) (-4 *3 (-1070))
+   (-14 *4 (-656 (-1197)))))
  ((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-2 (|:| -1828 *4) (|:| -3600 (-576)))))
-   (-4 *4 (-1264 (-576))) (-5 *2 (-783)) (-5 *1 (-454 *4))))) 
+  (-12 (-5 *3 (-52)) (-5 *2 (-112)) (-5 *1 (-51 *4)) (-4 *4 (-1238))))
+ ((*1 *2 *1)
+  (-12 (-5 *2 (-112)) (-5 *1 (-225 *3 *4)) (-4 *3 (-13 (-1070) (-861)))
+   (-14 *4 (-656 (-1197)))))
+ ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-684 *3)) (-4 *3 (-861))))
+ ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-689 *3)) (-4 *3 (-861))))
+ ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-908 *3)) (-4 *3 (-861))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1023)))))) 
+(((*1 *2 *3 *4 *5)
+  (-12 (-5 *3 (-701 *6)) (-5 *5 (-1 (-430 (-1193 *6)) (-1193 *6)))
+   (-4 *6 (-374))
+   (-5 *2
+    (-656
+     (-2 (|:| |outval| *7) (|:| |outmult| (-576))
+      (|:| |outvect| (-656 (-701 *7))))))
+   (-5 *1 (-544 *6 *7 *4)) (-4 *7 (-374)) (-4 *4 (-13 (-374) (-860)))))) 
+(((*1 *2) (-12 (-4 *1 (-378 *3)) (-4 *3 (-174)) (-5 *2 (-112))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-701 *5)) (-5 *4 (-1288 *5)) (-4 *5 (-374))
+   (-5 *2 (-112)) (-5 *1 (-679 *5))))
+ ((*1 *2 *3 *4)
+  (-12 (-4 *5 (-374)) (-4 *6 (-13 (-384 *5) (-10 -7 (-6 -4466))))
+   (-4 *4 (-13 (-384 *5) (-10 -7 (-6 -4466)))) (-5 *2 (-112))
+   (-5 *1 (-680 *5 *6 *4 *3)) (-4 *3 (-699 *5 *6 *4))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-1123 *3)) (-5 *1 (-924 *3)) (-4 *3 (-379))
+   (-4 *3 (-1121))))) 
+(((*1 *2 *3 *3 *3)
+  (|partial| -12
+      (-4 *4 (-13 (-148) (-27) (-1059 (-576)) (-1059 (-419 (-576)))))
+      (-4 *5 (-1264 *4)) (-5 *2 (-1193 (-419 *5))) (-5 *1 (-627 *4 *5))
+      (-5 *3 (-419 *5))))
+ ((*1 *2 *3 *3 *3 *4)
+  (|partial| -12 (-5 *4 (-1 (-430 *6) *6)) (-4 *6 (-1264 *5))
+      (-4 *5 (-13 (-148) (-27) (-1059 (-576)) (-1059 (-419 (-576)))))
+      (-5 *2 (-1193 (-419 *6))) (-5 *1 (-627 *5 *6)) (-5 *3 (-419 *6))))) 
 (((*1 *2 *3)
   (|partial| -12 (-5 *3 (-52)) (-5 *1 (-51 *2)) (-4 *2 (-1238))))
  ((*1 *1 *2)
@@ -16237,26 +16051,26 @@
       (-4 *1 (-997 *3 *4 *5 *6))))
  ((*1 *2 *1) (|partial| -12 (-4 *1 (-1059 *2)) (-4 *2 (-1238))))
  ((*1 *1 *2)
-  (|partial| -2758
+  (|partial| -2760
       (-12 (-5 *2 (-971 *3))
-       (-12 (-2662 (-4 *3 (-38 (-419 (-576)))))
-        (-2662 (-4 *3 (-38 (-576)))) (-4 *5 (-626 (-1197))))
+       (-12 (-2663 (-4 *3 (-38 (-419 (-576)))))
+        (-2663 (-4 *3 (-38 (-576)))) (-4 *5 (-626 (-1197))))
        (-4 *3 (-1070)) (-4 *1 (-1086 *3 *4 *5)) (-4 *4 (-805))
        (-4 *5 (-861)))
       (-12 (-5 *2 (-971 *3))
-       (-12 (-2662 (-4 *3 (-557))) (-2662 (-4 *3 (-38 (-419 (-576)))))
+       (-12 (-2663 (-4 *3 (-557))) (-2663 (-4 *3 (-38 (-419 (-576)))))
         (-4 *3 (-38 (-576))) (-4 *5 (-626 (-1197))))
        (-4 *3 (-1070)) (-4 *1 (-1086 *3 *4 *5)) (-4 *4 (-805))
        (-4 *5 (-861)))
       (-12 (-5 *2 (-971 *3))
-       (-12 (-2662 (-4 *3 (-1013 (-576)))) (-4 *3 (-38 (-419 (-576))))
+       (-12 (-2663 (-4 *3 (-1013 (-576)))) (-4 *3 (-38 (-419 (-576))))
         (-4 *5 (-626 (-1197))))
        (-4 *3 (-1070)) (-4 *1 (-1086 *3 *4 *5)) (-4 *4 (-805))
        (-4 *5 (-861)))))
  ((*1 *1 *2)
-  (|partial| -2758
+  (|partial| -2760
       (-12 (-5 *2 (-971 (-576))) (-4 *1 (-1086 *3 *4 *5))
-       (-12 (-2662 (-4 *3 (-38 (-419 (-576))))) (-4 *3 (-38 (-576)))
+       (-12 (-2663 (-4 *3 (-38 (-419 (-576))))) (-4 *3 (-38 (-576)))
         (-4 *5 (-626 (-1197))))
        (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861)))
       (-12 (-5 *2 (-971 (-576))) (-4 *1 (-1086 *3 *4 *5))
@@ -16266,7 +16080,9 @@
   (|partial| -12 (-5 *2 (-971 (-419 (-576)))) (-4 *1 (-1086 *3 *4 *5))
       (-4 *3 (-38 (-419 (-576)))) (-4 *5 (-626 (-1197)))
       (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *5 (-861))))) 
-(((*1 *1) (-5 *1 (-145)))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1023)))))) 
 (((*1 *2 *1) (-12 (-5 *2 (-1146 (-576) (-624 (-48)))) (-5 *1 (-48))))
  ((*1 *2 *1)
   (-12 (-4 *3 (-317)) (-4 *4 (-1013 *3)) (-4 *5 (-1264 *4))
@@ -16283,456 +16099,618 @@
   (-12 (-4 *3 (-174)) (-4 *2 (-729 *3)) (-5 *1 (-674 *2 *3 *4))
    (-4 *4 (|SubsetCategory| (-738) *3))))
  ((*1 *2 *1) (-12 (-4 *1 (-1013 *2)) (-4 *2 (-568))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-701 (-419 (-971 (-576)))))
-   (-5 *2 (-656 (-701 (-326 (-576))))) (-5 *1 (-1052))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-1179)) (-5 *2 (-216 (-514))) (-5 *1 (-849))))) 
-(((*1 *1)
-  (-12 (-5 *1 (-137 *2 *3 *4)) (-14 *2 (-576)) (-14 *3 (-783))
-   (-4 *4 (-174))))) 
-(((*1 *2 *3 *1)
-  (-12 (-5 *3 (-924 *4)) (-4 *4 (-1121)) (-5 *2 (-656 (-783)))
-   (-5 *1 (-923 *4))))) 
-(((*1 *2 *3 *3 *3 *3 *3 *4 *3 *4 *3 *5 *5 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-112)) (-5 *5 (-701 (-227)))
-   (-5 *2 (-1056)) (-5 *1 (-767))))) 
+(((*1 *2 *1 *3)
+  (-12 (-4 *1 (-353 *4 *3 *5)) (-4 *4 (-1242)) (-4 *3 (-1264 *4))
+   (-4 *5 (-1264 (-419 *3))) (-5 *2 (-112))))
+ ((*1 *2 *1 *3)
+  (-12 (-4 *1 (-353 *3 *4 *5)) (-4 *3 (-1242)) (-4 *4 (-1264 *3))
+   (-4 *5 (-1264 (-419 *4))) (-5 *2 (-112))))
+ ((*1 *2 *1)
+  (-12 (-4 *1 (-353 *3 *4 *5)) (-4 *3 (-1242)) (-4 *4 (-1264 *3))
+   (-4 *5 (-1264 (-419 *4))) (-5 *2 (-112))))) 
+(((*1 *2 *3 *4 *5)
+  (-12 (-5 *5 (-112)) (-4 *6 (-464)) (-4 *7 (-805)) (-4 *8 (-861))
+   (-4 *3 (-1086 *6 *7 *8))
+   (-5 *2
+    (-2 (|:| |done| (-656 *4))
+     (|:| |todo| (-656 (-2 (|:| |val| (-656 *3)) (|:| -3988 *4))))))
+   (-5 *1 (-1090 *6 *7 *8 *3 *4)) (-4 *4 (-1092 *6 *7 *8 *3))))
+ ((*1 *2 *3 *4)
+  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
+   (-4 *3 (-1086 *5 *6 *7))
+   (-5 *2
+    (-2 (|:| |done| (-656 *4))
+     (|:| |todo| (-656 (-2 (|:| |val| (-656 *3)) (|:| -3988 *4))))))
+   (-5 *1 (-1166 *5 *6 *7 *3 *4)) (-4 *4 (-1130 *5 *6 *7 *3))))) 
+(((*1 *2 *2 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1238))))) 
+(((*1 *2 *1 *1)
+  (-12 (-4 *3 (-374)) (-4 *3 (-1070))
+   (-5 *2 (-2 (|:| |coef1| *1) (|:| |coef2| *1) (|:| -4129 *1)))
+   (-4 *1 (-866 *3))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-576)) (-5 *1 (-834))))) 
 (((*1 *2 *1) (-12 (-5 *2 (-977 (-185 (-140)))) (-5 *1 (-343))))
  ((*1 *2 *1) (-12 (-5 *2 (-656 (-1237))) (-5 *1 (-618))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-1261 *5 *4)) (-4 *4 (-832)) (-14 *5 (-1197))
-   (-5 *2 (-576)) (-5 *1 (-1135 *4 *5))))) 
-(((*1 *1 *1)
-  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
+  (-12 (-5 *3 (-1288 *4)) (-4 *4 (-13 (-1070) (-651 (-576))))
+   (-5 *2 (-112)) (-5 *1 (-1316 *4))))) 
 (((*1 *2 *3 *4)
-  (|partial| -12 (-5 *4 (-419 *2)) (-4 *2 (-1264 *5))
-      (-5 *1 (-819 *5 *2 *3 *6))
-      (-4 *5 (-13 (-374) (-148) (-1059 (-419 (-576)))))
-      (-4 *3 (-668 *2)) (-4 *6 (-668 *4))))
+  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) 
+(((*1 *1 *1)
+  (|partial| -12 (-5 *1 (-153 *2 *3 *4)) (-14 *2 (-940)) (-4 *3 (-374))
+      (-14 *4 (-1014 *2 *3))))
+ ((*1 *1 *1)
+  (|partial| -12 (-4 *2 (-174)) (-5 *1 (-299 *2 *3 *4 *5 *6 *7))
+      (-4 *3 (-1264 *2)) (-4 *4 (-23)) (-14 *5 (-1 *3 *3 *4))
+      (-14 *6 (-1 (-3 *4 "failed") *4 *4))
+      (-14 *7 (-1 (-3 *3 "failed") *3 *3 *4))))
+ ((*1 *1 *1)
+  (|partial| -12 (-4 *1 (-378 *2)) (-4 *2 (-174)) (-4 *2 (-568))))
+ ((*1 *1 *1)
+  (|partial| -12 (-5 *1 (-727 *2 *3 *4 *5 *6)) (-4 *2 (-174))
+      (-4 *3 (-23)) (-14 *4 (-1 *2 *2 *3))
+      (-14 *5 (-1 (-3 *3 "failed") *3 *3))
+      (-14 *6 (-1 (-3 *2 "failed") *2 *2 *3))))
+ ((*1 *1 *1) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374))))
+ ((*1 *1) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374))))
+ ((*1 *1 *1) (|partial| -4 *1 (-734)))
+ ((*1 *1 *1) (|partial| -4 *1 (-738)))
  ((*1 *2 *3 *4)
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-   (-4 *5 (-13 (-374) (-148) (-1059 (-419 (-576))))) (-4 *3 (-668 *2))
-   (-4 *6 (-668 (-419 *2)))))) 
-(((*1 *2 *3 *3 *3 *3 *3 *4 *4 *4 *5)
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-   (-5 *1 (-760))))) 
-(((*1 *1 *1 *1) (-5 *1 (-876)))) 
+  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
+   (-4 *3 (-1086 *5 *6 *7)) (-5 *2 (-2 (|:| |num| *3) (|:| |den| *3)))
+   (-5 *1 (-788 *5 *6 *7 *3 *4)) (-4 *4 (-1092 *5 *6 *7 *3))))
+ ((*1 *2 *2 *1)
+  (|partial| -12 (-4 *1 (-1089 *3 *2)) (-4 *3 (-13 (-860) (-374)))
+      (-4 *2 (-1264 *3))))
+ ((*1 *2 *2)
+  (|partial| -12 (-5 *2 (-1178 *3)) (-4 *3 (-1070)) (-5 *1 (-1181 *3))))) 
+(((*1 *1 *2 *3)
+  (-12 (-5 *1 (-439 *3 *2)) (-4 *3 (-13 (-174) (-38 (-419 (-576)))))
+   (-4 *2 (-13 (-861) (-21)))))) 
+(((*1 *1 *1) (-12 (-5 *1 (-430 *2)) (-4 *2 (-568))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-855 (-390))) (-5 *2 (-855 (-227))) (-5 *1 (-315))))) 
-(((*1 *2 *3 *4 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
-   (-5 *1 (-759))))) 
-(((*1 *2 *2)
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-   (-5 *1 (-41 *3 *2)) (-4 *2 (-442 *3))
-   (-4 *2
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-     (-10 -8 (-15 -1570 ((-1146 *3 (-624 $)) $))
-      (-15 -1581 ((-1146 *3 (-624 $)) $))
-      (-15 -3569 ($ (-1146 *3 (-624 $)))))))))) 
-(((*1 *2 *3 *4 *4 *4 *3 *4 *3)
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-   (-5 *1 (-763))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-656 (-656 (-962 (-227))))) (-5 *1 (-480))))) 
-(((*1 *2 *3 *3)
-  (-12 (-5 *3 (-656 *7)) (-4 *7 (-1086 *4 *5 *6)) (-4 *4 (-464))
-   (-4 *5 (-805)) (-4 *6 (-861)) (-5 *2 (-112))
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@@ -17239,51 +17188,103 @@
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+ ((*1 *2 *1) (-12 (-4 *1 (-1018 *2)) (-4 *2 (-174))))
+ ((*1 *1 *1) (-4 *1 (-1081)))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-971 *4)) (-4 *4 (-13 (-317) (-148)))
-   (-4 *2 (-968 *4 *6 *5)) (-5 *1 (-943 *4 *5 *6 *2))
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- ((*1 *1 *1)
-  (-12 (-4 *1 (-1086 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-805))
-   (-4 *4 (-861))))) 
+  (-12 (-4 *4 (-1238)) (-5 *2 (-783)) (-5 *1 (-184 *4 *3))
+   (-4 *3 (-686 *4))))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *3 (-701 (-419 (-576)))) (-5 *2 (-656 *4)) (-5 *1 (-791 *4))
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-(((*1 *2 *3 *2)
-  (-12 (-5 *2 (-1179)) (-5 *3 (-656 (-270))) (-5 *1 (-268))))
- ((*1 *1 *2) (-12 (-5 *2 (-1179)) (-5 *1 (-270))))) 
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+ ((*1 *1 *2 *1)
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+ ((*1 *1 *2 *1)
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+(((*1 *2 *2 *1)
+  (-12 (-4 *1 (-1231 *3 *4 *5 *2)) (-4 *3 (-568)) (-4 *4 (-805))
+   (-4 *5 (-861)) (-4 *2 (-1086 *3 *4 *5))))) 
+(((*1 *1 *2)
+  (-12
+   (-5 *2
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+      (|:| -4301
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+            (|:| |fn| (-1288 (-326 (-227))))
+            (|:| |yinit| (-656 (-227))) (|:| |intvals| (-656 (-227)))
+            (|:| |g| (-326 (-227))) (|:| |abserr| (-227))
+            (|:| |relerr| (-227))))
+      (|:| -4440
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+            (|:| |expense| (-390)) (|:| |accuracy| (-390))
+            (|:| |intermediateResults| (-390)))))))
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+(((*1 *2 *1)
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 (((*1 *1 *1) (-4 *1 (-557)))) 
-(((*1 *1 *1 *2) (-12 (-4 *1 (-1033)) (-5 *2 (-876))))) 
-(((*1 *1 *1)
-  (-12 (-4 *1 (-336 *2 *3)) (-4 *2 (-1070)) (-4 *3 (-804))
-   (-4 *2 (-464))))
+(((*1 *1 *1) (-12 (-4 *1 (-385 *2 *3)) (-4 *2 (-861)) (-4 *3 (-174))))
  ((*1 *1 *1)
-  (-12 (-4 *1 (-353 *2 *3 *4)) (-4 *2 (-1242)) (-4 *3 (-1264 *2))
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- ((*1 *1 *1) (-12 (-4 *1 (-866 *2)) (-4 *2 (-1070)) (-4 *2 (-464))))
- ((*1 *1 *1 *2)
-  (-12 (-4 *1 (-968 *3 *4 *2)) (-4 *3 (-1070)) (-4 *4 (-805))
-   (-4 *2 (-861)) (-4 *3 (-464))))
+  (-12 (-5 *1 (-639 *2 *3 *4)) (-4 *2 (-861))
+   (-4 *3 (-13 (-174) (-729 (-419 (-576))))) (-14 *4 (-940))))
+ ((*1 *1 *1) (-12 (-5 *1 (-689 *2)) (-4 *2 (-861))))
+ ((*1 *1 *1) (-12 (-5 *1 (-831 *2)) (-4 *2 (-861))))
  ((*1 *1 *1)
-  (-12 (-4 *1 (-968 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-805))
-   (-4 *4 (-861)) (-4 *2 (-464))))
- ((*1 *2 *2 *3)
-  (-12 (-4 *3 (-317)) (-4 *3 (-568)) (-5 *1 (-1184 *3 *2))
-   (-4 *2 (-1264 *3))))) 
-(((*1 *2 *2 *1) (|partial| -12 (-5 *2 (-656 *1)) (-4 *1 (-317))))) 
+  (-12 (-4 *1 (-1305 *2 *3)) (-4 *2 (-861)) (-4 *3 (-1070))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1223)))))) 
+(((*1 *2 *3 *3 *3)
+  (|partial| -12 (-4 *4 (-13 (-374) (-148) (-1059 (-576))))
+      (-4 *5 (-1264 *4)) (-5 *2 (-656 (-419 *5))) (-5 *1 (-1037 *4 *5))
+      (-5 *3 (-419 *5))))) 
 (((*1 *2 *3 *4 *5)
   (-12 (-5 *5 (-1115 *3)) (-4 *3 (-968 *7 *6 *4)) (-4 *6 (-805))
    (-4 *4 (-861)) (-4 *7 (-568))
@@ -17318,37 +17319,35 @@
   (-12 (-5 *4 (-1113 (-419 (-971 *5)))) (-5 *3 (-419 (-971 *5)))
    (-4 *5 (-13 (-568) (-1059 (-576)))) (-5 *2 (-3 *3 (-326 *5)))
    (-5 *1 (-1190 *5))))) 
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-  (-12 (-5 *3 (-1197)) (-5 *2 (-1 (-1193 (-971 *4)) (-971 *4)))
-   (-5 *1 (-1296 *4)) (-4 *4 (-374))))) 
-(((*1 *1 *1 *1) (-12 (-4 *1 (-292 *2)) (-4 *2 (-1238)) (-4 *2 (-861))))
- ((*1 *1 *2 *1 *1)
-  (-12 (-5 *2 (-1 (-112) *3 *3)) (-4 *1 (-292 *3)) (-4 *3 (-1238))))
- ((*1 *1 *1 *1) (-12 (-4 *1 (-989 *2)) (-4 *2 (-861))))) 
-(((*1 *2) (-12 (-5 *2 (-390)) (-5 *1 (-1061))))) 
-(((*1 *2 *1)
-  (-12 (-5 *2 (-703 (-887 (-985 *3) (-985 *3)))) (-5 *1 (-985 *3))
-   (-4 *3 (-1121))))) 
-(((*1 *2 *3 *4 *5)
-  (|partial| -12 (-5 *4 (-1197)) (-5 *5 (-656 (-419 (-971 *6))))
-      (-5 *3 (-419 (-971 *6)))
-      (-4 *6 (-13 (-568) (-1059 (-576)) (-148)))
-      (-5 *2
-       (-2 (|:| |mainpart| *3)
-        (|:| |limitedlogs|
-             (-656 (-2 (|:| |coeff| *3) (|:| |logand| *3))))))
-      (-5 *1 (-582 *6))))) 
-(((*1 *2 *3 *2)
-  (-12 (-5 *3 (-1 (-112) *4 *4)) (-4 *4 (-1238)) (-5 *1 (-386 *4 *2))
-   (-4 *2 (-13 (-384 *4) (-10 -7 (-6 -4465))))))) 
+(((*1 *1 *2)
+  (-12 (-5 *2 (-1273 *3 *4 *5)) (-4 *3 (-374)) (-14 *4 (-1197))
+   (-14 *5 *3) (-5 *1 (-329 *3 *4 *5))))
+ ((*1 *2 *3) (-12 (-5 *2 (-1 (-390))) (-5 *1 (-1061)) (-5 *3 (-390))))) 
+(((*1 *2 *3 *3 *4)
+  (-12 (-5 *4 (-783)) (-4 *5 (-568))
+   (-5 *2 (-2 (|:| |coef2| *3) (|:| |subResultant| *3)))
+   (-5 *1 (-990 *5 *3)) (-4 *3 (-1264 *5))))) 
+(((*1 *2 *3 *4)
+  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-861))
+   (-4 *3 (-1086 *5 *6 *7)) (-5 *2 (-656 *4))
+   (-5 *1 (-1129 *5 *6 *7 *3 *4)) (-4 *4 (-1092 *5 *6 *7 *3))))) 
+(((*1 *2 *3 *2) (-12 (-5 *3 (-783)) (-5 *1 (-870 *2)) (-4 *2 (-174))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-449))))) 
+(((*1 *2 *2 *2)
+  (-12 (-5 *2 (-1178 *3)) (-4 *3 (-374)) (-4 *3 (-1070))
+   (-5 *1 (-1181 *3))))) 
+(((*1 *1 *2)
+  (|partial| -12 (-5 *2 (-656 *6)) (-4 *6 (-1086 *3 *4 *5))
+      (-4 *3 (-568)) (-4 *4 (-805)) (-4 *5 (-861))
+      (-5 *1 (-1301 *3 *4 *5 *6))))
+ ((*1 *1 *2 *3 *4)
+  (|partial| -12 (-5 *2 (-656 *8)) (-5 *3 (-1 (-112) *8 *8))
+      (-5 *4 (-1 *8 *8 *8)) (-4 *8 (-1086 *5 *6 *7)) (-4 *5 (-568))
+      (-4 *6 (-805)) (-4 *7 (-861)) (-5 *1 (-1301 *5 *6 *7 *8))))) 
 (((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-1289))))
  ((*1 *2 *1) (-12 (-5 *2 (-1293)) (-5 *1 (-1290))))) 
-(((*1 *1 *2 *3)
-  (-12 (-5 *1 (-983 *2 *3)) (-4 *2 (-1121)) (-4 *3 (-1121))))) 
-(((*1 *1 *1 *1)
-  (-12 (-5 *1 (-656 *2)) (-4 *2 (-1121)) (-4 *2 (-1238))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-326 (-227)))) (-5 *2 (-112)) (-5 *1 (-276))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-940)) (-5 *1 (-992))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-656 (-1237))) (-5 *1 (-536))))) 
 (((*1 *2 *3 *4)
   (-12 (-5 *3 (-656 *5)) (-5 *4 (-656 *6)) (-4 *5 (-1121))
    (-4 *6 (-1238)) (-5 *2 (-1 *6 *5)) (-5 *1 (-653 *5 *6))))
@@ -17373,35 +17372,129 @@
  ((*1 *1 *2) (-12 (-5 *2 (-1179)) (-5 *1 (-270))))
  ((*1 *2 *1 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-1289))))
  ((*1 *2 *1 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-1290))))) 
-(((*1 *2 *3 *4)
-  (-12 (-4 *5 (-317)) (-4 *6 (-384 *5)) (-4 *4 (-384 *5))
-   (-5 *2
-    (-2 (|:| |particular| (-3 *4 "failed")) (|:| -3454 (-656 *4))))
-   (-5 *1 (-1145 *5 *6 *4 *3)) (-4 *3 (-699 *5 *6 *4))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-13 (-568) (-148))) (-5 *1 (-549 *3 *2))
+   (-4 *2 (-1279 *3))))
+ ((*1 *2 *2)
+  (-12 (-4 *3 (-13 (-374) (-379) (-626 (-576)))) (-4 *4 (-1264 *3))
+   (-4 *5 (-736 *3 *4)) (-5 *1 (-553 *3 *4 *5 *2)) (-4 *2 (-1279 *5))))
+ ((*1 *2 *2)
+  (-12 (-4 *3 (-13 (-374) (-379) (-626 (-576)))) (-5 *1 (-554 *3 *2))
+   (-4 *2 (-1279 *3))))
+ ((*1 *2 *2)
+  (-12 (-5 *2 (-1178 *3)) (-4 *3 (-13 (-568) (-148)))
+   (-5 *1 (-1174 *3))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-907 *3)) (-4 *3 (-1121))))) 
+(((*1 *2 *3 *3 *3 *4 *4 *4 *4 *4 *3)
+  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056))
+   (-5 *1 (-764))))) 
 (((*1 *2 *1)
-  (-12 (-5 *2 (-419 (-971 *3))) (-5 *1 (-465 *3 *4 *5 *6))
-   (-4 *3 (-568)) (-4 *3 (-174)) (-14 *4 (-940))
-   (-14 *5 (-656 (-1197))) (-14 *6 (-1288 (-701 *3)))))) 
-(((*1 *1 *2 *1)
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- ((*1 *1 *2 *1)
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-   (-5 *1 (-990 *5 *3)) (-4 *3 (-1264 *5))))) 
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+   (-4 *5 (-243 (-3503 *3) (-783)))
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+    (-1 (-112) (-2 (|:| -3224 *2) (|:| -3422 *5))
+     (-2 (|:| -3224 *2) (|:| -3422 *5))))
+   (-4 *2 (-861)) (-5 *1 (-473 *3 *4 *2 *5 *6 *7))
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 (((*1 *2 *1)
   (-12 (-4 *1 (-353 *3 *4 *5)) (-4 *3 (-1242)) (-4 *4 (-1264 *3))
    (-4 *5 (-1264 (-419 *4))) (-5 *2 (-112))))) 
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+   (-5 *1 (-516 *4 *5 *6 *7))))) 
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+  (-12 (-5 *2 (-656 *4)) (-5 *1 (-1162 *3 *4))
+   (-4 *3 (-13 (-1121) (-34))) (-4 *4 (-13 (-1121) (-34)))))) 
 (((*1 *2 *1)
   (-12 (-5 *2 (-703 (-887 (-985 *3) (-985 *3)))) (-5 *1 (-985 *3))
    (-4 *3 (-1121))))) 
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+ ((*1 *2 *3)
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 (((*1 *2 *1)
   (-12 (-4 *1 (-1124 *3 *4 *5 *6 *7)) (-4 *3 (-1121)) (-4 *4 (-1121))
    (-4 *5 (-1121)) (-4 *6 (-1121)) (-4 *7 (-1121)) (-5 *2 (-112))))) 
 (((*1 *2 *3 *4)
+  (-12 (-4 *5 (-805)) (-4 *6 (-861)) (-4 *7 (-568))
+   (-4 *3 (-968 *7 *5 *6))
+   (-5 *2
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+   (-4 *8
+    (-13 (-374)
+     (-10 -8 (-15 -3570 ($ *3)) (-15 -1570 (*3 $)) (-15 -1581 (*3 $)))))))) 
+(((*1 *2 *3 *4 *5 *6 *7 *6)
+  (|partial| -12
+      (-5 *5
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+        (|:| -2761 (-656 (-2 (|:| |irr| *10) (|:| -2567 (-576)))))))
+      (-5 *6 (-656 *3)) (-5 *7 (-656 *8)) (-4 *8 (-861)) (-4 *3 (-317))
+      (-4 *10 (-968 *3 *9 *8)) (-4 *9 (-805))
+      (-5 *2
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+        (|:| |corrfact| (-656 (-1193 *3)))))
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+(((*1 *1 *1)
+  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *4 (-1 *3 *3)) (-4 *3 (-1264 *5)) (-4 *5 (-374))
+   (-5 *2 (-2 (|:| |answer| *3) (|:| |polypart| *3)))
+   (-5 *1 (-586 *5 *3))))) 
+(((*1 *2 *1 *3) (-12 (-4 *1 (-34)) (-5 *3 (-783)) (-5 *2 (-112))))
+ ((*1 *2 *3 *3)
+  (|partial| -12 (-5 *2 (-112)) (-5 *1 (-1239 *3)) (-4 *3 (-1121))))
+ ((*1 *2 *3 *3 *4)
+  (-12 (-5 *4 (-1 (-112) *3 *3)) (-4 *3 (-1121)) (-5 *2 (-112))
+   (-5 *1 (-1239 *3))))) 
+(((*1 *2 *3 *3 *3 *4)
+  (|partial| -12 (-5 *4 (-1 *6 *6)) (-4 *6 (-1264 *5))
+      (-4 *5 (-13 (-374) (-148) (-1059 (-576))))
+      (-5 *2
+       (-2 (|:| |a| *6) (|:| |b| (-419 *6)) (|:| |h| *6)
+        (|:| |c1| (-419 *6)) (|:| |c2| (-419 *6)) (|:| -2741 *6)))
+      (-5 *1 (-1037 *5 *6)) (-5 *3 (-419 *6))))) 
+(((*1 *2 *2)
+  (-12
+   (-5 *2
+    (-1008 (-419 (-576)) (-878 *3) (-245 *4 (-783))
+     (-253 *3 (-419 (-576)))))
+   (-14 *3 (-656 (-1197))) (-14 *4 (-783)) (-5 *1 (-1007 *3 *4))))) 
+(((*1 *1 *1) (-5 *1 (-876)))
+ ((*1 *2 *1)
+  (-12 (-4 *1 (-1124 *2 *3 *4 *5 *6)) (-4 *3 (-1121)) (-4 *4 (-1121))
+   (-4 *5 (-1121)) (-4 *6 (-1121)) (-4 *2 (-1121))))
+ ((*1 *1 *2) (-12 (-5 *2 (-227)) (-5 *1 (-1179))))
+ ((*1 *1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-1179))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1179)) (-5 *1 (-1197))))) 
+(((*1 *2 *3 *2)
+  (-12 (-5 *1 (-691 *3 *2)) (-4 *3 (-1121)) (-4 *2 (-1121))))) 
+(((*1 *2 *2 *2)
+  (-12 (-5 *2 (-656 *6)) (-4 *6 (-1086 *3 *4 *5)) (-4 *3 (-464))
+   (-4 *3 (-568)) (-4 *4 (-805)) (-4 *5 (-861))
+   (-5 *1 (-998 *3 *4 *5 *6))))) 
+(((*1 *2 *3 *4)
   (-12
    (-5 *3
     (-656
@@ -17409,892 +17502,805 @@
       (|:| |wcond| (-656 (-971 *5)))
       (|:| |bsoln|
            (-2 (|:| |partsol| (-1288 (-419 (-971 *5))))
-            (|:| -3454 (-656 (-1288 (-419 (-971 *5))))))))))
+            (|:| -1593 (-656 (-1288 (-419 (-971 *5))))))))))
    (-5 *4 (-1179)) (-4 *5 (-13 (-317) (-148))) (-4 *8 (-968 *5 *7 *6))
    (-4 *6 (-13 (-861) (-626 (-1197)))) (-4 *7 (-805)) (-5 *2 (-576))
    (-5 *1 (-943 *5 *6 *7 *8))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-227))) (-5 *2 (-1288 (-711))) (-5 *1 (-315))))) 
-(((*1 *2 *1)
-  (-12 (-5 *2 (-656 *4)) (-5 *1 (-1162 *3 *4))
-   (-4 *3 (-13 (-1121) (-34))) (-4 *4 (-13 (-1121) (-34)))))) 
-(((*1 *2 *3 *4 *3 *3 *4 *4 *4 *5)
-  (-12 (-5 *3 (-227)) (-5 *4 (-576))
-   (-5 *5 (-3 (|:| |fn| (-400)) (|:| |fp| (-64 -1959))))
-   (-5 *2 (-1056)) (-5 *1 (-760))))) 
-(((*1 *2 *2 *3 *3)
-  (-12 (-5 *2 (-701 *3)) (-4 *3 (-317)) (-5 *1 (-712 *3))))) 
-(((*1 *1 *2 *1) (-12 (-5 *2 (-109)) (-5 *1 (-1106))))) 
-(((*1 *2) (-12 (-5 *2 (-656 (-1179))) (-5 *1 (-841))))) 
-(((*1 *2 *3 *4)
-  (-12 (-4 *5 (-1121)) (-4 *3 (-917 *5)) (-5 *2 (-701 *3))
-   (-5 *1 (-704 *5 *3 *6 *4)) (-4 *6 (-384 *3))
-   (-4 *4 (-13 (-384 *5) (-10 -7 (-6 -4464))))))) 
-(((*1 *2 *3 *3 *3 *4 *4 *4 *4 *5 *6 *5 *4 *7 *3)
-  (-12 (-5 *4 (-701 (-576))) (-5 *5 (-112)) (-5 *7 (-701 (-227)))
-   (-5 *3 (-576)) (-5 *6 (-227)) (-5 *2 (-1056)) (-5 *1 (-766))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-1179)) (-5 *2 (-1293)) (-5 *1 (-246))))
- ((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-1179))) (-5 *2 (-1293)) (-5 *1 (-246))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-347 *5 *6 *7 *8)) (-4 *5 (-442 *4)) (-4 *6 (-1264 *5))
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-\ No newline at end of file
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+\ No newline at end of file
author	dos-reis <gdr@axiomatics.org>	2010-06-29 21:31:12 +0000
committer	dos-reis <gdr@axiomatics.org>	2010-06-29 21:31:12 +0000
commit	3f4d38826d28da40a6509a9afc37b8cbaebd080e (patch)
tree	7cda4231bb62a4469d5fed7dd88c34f91a62ed09 /src/share/algebra
parent	2394bfc186f7b57a7b8b737b4b17e1140d756416 (diff)
download	open-axiom-3f4d38826d28da40a6509a9afc37b8cbaebd080e.tar.gz