Update databases

5 files changed, 22179 insertions, 22179 deletions

diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase
index 6f27bc35..c15fcd57 100644
--- a/src/share/algebra/browse.daase
+++ b/src/share/algebra/browse.daase
@@ -1,5 +1,5 @@
 
-(2274045 . 3485769903)       
+(2274045 . 3485817773)       
 (-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 
@@ -56,7 +56,7 @@ 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 -1398) 
+(-32 R -3030) 
 ((|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 -1056) (QUOTE (-576))))) 
@@ -88,11 +88,11 @@ NIL
 ((|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 -1398 UP UPUP -1440) 
+(-40 -3030 UP UPUP -3517) 
 ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}"))) 
 ((-4454 |has| (-419 |#2|) (-374)) (-4459 |has| (-419 |#2|) (-374)) (-4453 |has| (-419 |#2|) (-374)) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| (-419 |#2|) (QUOTE (-146))) (|HasCategory| (-419 |#2|) (QUOTE (-148))) (|HasCategory| (-419 |#2|) (QUOTE (-360))) (-2838 (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-379))) (-2838 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-239))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2838 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-360))))) (-2838 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-239))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -651) (QUOTE (-576)))) (-2838 (|HasCategory| (-419 |#2|) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-239))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) 
-(-41 R -1398) 
+((|HasCategory| (-419 |#2|) (QUOTE (-146))) (|HasCategory| (-419 |#2|) (QUOTE (-148))) (|HasCategory| (-419 |#2|) (QUOTE (-360))) (-3766 (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-379))) (-3766 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-239))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-3766 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-360))))) (-3766 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-239))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -651) (QUOTE (-576)))) (-3766 (|HasCategory| (-419 |#2|) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-239))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) 
+(-41 R -3030) 
 ((|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 -1056) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -442) (|devaluate| |#1|))))) 
@@ -111,7 +111,7 @@ NIL
 (-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."))) 
 ((-4461 . T) (-4462 . T)) 
-((-2838 (-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-862))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -1918) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -1918) (|devaluate| |#2|))))))) (-2838 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-862))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-2838 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-862))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (|HasCategory| |#2| (QUOTE (-1118)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (-2838 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (-2838 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (|HasCategory| |#2| (QUOTE (-1118)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -1918) (|devaluate| |#2|))))))) 
+((-3766 (-12 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-862))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4169) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3180) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4169) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3180) (|devaluate| |#2|))))))) (-3766 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-862))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-3766 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-862))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (|HasCategory| |#2| (QUOTE (-1118)))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (-3766 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (-3766 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (|HasCategory| |#2| (QUOTE (-1118)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4169) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3180) (|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| $) "\\spad{leadingCoefficient(p)} returns the coefficient highest degree term of \\spad{p}."))) 
 NIL 
@@ -144,7 +144,7 @@ NIL
 ((|constructor| (NIL "\\spad{ApplyUnivariateSkewPolynomial} (internal) allows univariate skew polynomials to be applied to appropriate modules.")) (|apply| ((|#2| |#3| (|Mapping| |#2| |#2|) |#2|) "\\spad{apply(p, f, m)} returns \\spad{p(m)} where the action is given by \\spad{x m = f(m)}. \\spad{f} must be an \\spad{R}-pseudo linear map on \\spad{M}."))) 
 NIL 
 NIL 
-(-54 |Base| R -1398) 
+(-54 |Base| R -3030) 
 ((|constructor| (NIL "This package apply rewrite rules to expressions,{} calling the pattern matcher.")) (|localUnquote| ((|#3| |#3| (|List| (|Symbol|))) "\\spad{localUnquote(f,ls)} is a local function.")) (|applyRules| ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3| (|PositiveInteger|)) "\\spad{applyRules([r1,...,rn], expr, n)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} a most \\spad{n} times.") ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3|) "\\spad{applyRules([r1,...,rn], expr)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} an unlimited number of times,{} \\spadignore{i.e.} until none of \\spad{r1},{}...,{}\\spad{rn} is applicable to the expression."))) 
 NIL 
 NIL 
@@ -167,64 +167,64 @@ NIL
 (-59 S) 
 ((|constructor| (NIL "This is the domain of 1-based one dimensional arrays")) (|oneDimensionalArray| (($ (|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}"))) 
 ((-4462 . T) (-4461 . T)) 
-((-2838 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2838 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-3766 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3766 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|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}."))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
-(-61 -2041) 
+((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
+(-61 -1778) 
 ((|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 -2041) 
+(-62 -1778) 
 ((|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 -2041) 
+(-63 -1778) 
 ((|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 -2041) 
+(-64 -1778) 
 ((|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 -2041) 
+(-65 -1778) 
 ((|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 -2041) 
+(-66 -1778) 
 ((|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 -2041) 
+(-67 -1778) 
 ((|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 -2041) 
+(-68 -1778) 
 ((|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 -2041) 
+(-69 -1778) 
 ((|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 -2041) 
+(-70 -1778) 
 ((|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 -2041) 
+(-71 -1778) 
 ((|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 -2041) 
+(-72 -1778) 
 ((|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 -2041) 
+(-73 -1778) 
 ((|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 -2041) 
+(-74 -1778) 
 ((|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 -2041) 
+(-77 -1778) 
 ((|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 -2041) 
+(-78 -1778) 
 ((|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 -2041) 
+(-79 -1778) 
 ((|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 -2041) 
+(-80 -1778) 
 ((|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 -2041) 
+(-81 -1778) 
 ((|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 -2041) 
+(-82 -1778) 
 ((|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 -2041) 
+(-83 -1778) 
 ((|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 -2041) 
+(-84 -1778) 
 ((|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 -2041) 
+(-85 -1778) 
 ((|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 -2041) 
+(-86 -1778) 
 ((|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 -2041) 
+(-87 -1778) 
 ((|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 -2041) 
+(-88 -1778) 
 ((|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 -2041) 
+(-89 -1778) 
 ((|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 
@@ -295,7 +295,7 @@ NIL
 (-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}."))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-92 S) 
 ((|constructor| (NIL "This is the category of Spad abstract syntax trees."))) 
 NIL 
@@ -343,7 +343,7 @@ 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}."))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-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 
@@ -363,7 +363,7 @@ 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."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| (-576) (QUOTE (-925))) (|HasCategory| (-576) (LIST (QUOTE -1056) (QUOTE (-1195)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1040))) (|HasCategory| (-576) (QUOTE (-832))) (-2838 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-862)))) (|HasCategory| (-576) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1170))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-239))) (|HasCategory| (-576) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1195)) (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) (QUOTE (-862))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-925)))) (-2838 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-925)))) (|HasCategory| (-576) (QUOTE (-146))))) 
+((|HasCategory| (-576) (QUOTE (-925))) (|HasCategory| (-576) (LIST (QUOTE -1056) (QUOTE (-1195)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1040))) (|HasCategory| (-576) (QUOTE (-832))) (-3766 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-862)))) (|HasCategory| (-576) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1170))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-239))) (|HasCategory| (-576) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1195)) (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) (QUOTE (-862))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-925)))) (-3766 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-925)))) (|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|) $) "\\spad{name(b)} returns the name of binding \\spad{b}"))) 
 NIL 
@@ -392,7 +392,7 @@ NIL
 ((|constructor| (NIL "A basic operator is an object that can be applied to a list of arguments from a set,{} the result being a kernel over that set.")) (|setProperties| (($ $ (|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 -1398 UP) 
+(-116 -3030 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 
@@ -403,7 +403,7 @@ 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}."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| (-117 |#1|) (QUOTE (-925))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1056) (QUOTE (-1195)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-148))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-117 |#1|) (QUOTE (-1040))) (|HasCategory| (-117 |#1|) (QUOTE (-832))) (-2838 (|HasCategory| (-117 |#1|) (QUOTE (-832))) (|HasCategory| (-117 |#1|) (QUOTE (-862)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (QUOTE (-1170))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (QUOTE (-239))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -526) (QUOTE (-1195)) (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))) (|HasCategory| (-117 |#1|) (QUOTE (-862))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-925)))) (-2838 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-925)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))))) 
+((|HasCategory| (-117 |#1|) (QUOTE (-925))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1056) (QUOTE (-1195)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-148))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-117 |#1|) (QUOTE (-1040))) (|HasCategory| (-117 |#1|) (QUOTE (-832))) (-3766 (|HasCategory| (-117 |#1|) (QUOTE (-832))) (|HasCategory| (-117 |#1|) (QUOTE (-862)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (QUOTE (-1170))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (QUOTE (-239))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -526) (QUOTE (-1195)) (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))) (|HasCategory| (-117 |#1|) (QUOTE (-862))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-925)))) (-3766 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-925)))) (|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 
@@ -419,7 +419,7 @@ 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"))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-123 S) 
 ((|constructor| (NIL "The bit aggregate category models aggregates representing large quantities of Boolean data.")) (|xor| (($ $ $) "\\spad{xor(a,b)} returns the logical {\\em exclusive-or} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nor| (($ $ $) "\\spad{nor(a,b)} returns the logical {\\em nor} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nand| (($ $ $) "\\spad{nand(a,b)} returns the logical {\\em nand} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}."))) 
 NIL 
@@ -439,15 +439,15 @@ NIL
 (-127 S) 
 ((|constructor| (NIL "\\spadtype{BinaryTournament(S)} is the domain of binary trees where elements are ordered down the tree. A binary search tree is either empty or is a node containing a \\spadfun{value} of type \\spad{S},{} and a \\spadfun{right} and a \\spadfun{left} which are both \\spadtype{BinaryTree(S)}")) (|insert!| (($ |#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."))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-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."))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-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."))) 
 ((-4462 . T) (-4461 . T)) 
-((-2838 (-12 (|HasCategory| (-130) (QUOTE (-862))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130))))) (-12 (|HasCategory| (-130) (QUOTE (-1118))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130)))))) (-2838 (-12 (|HasCategory| (-130) (QUOTE (-1118))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130))))) (|HasCategory| (-130) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-130) (LIST (QUOTE -626) (QUOTE (-548)))) (-2838 (|HasCategory| (-130) (QUOTE (-862))) (|HasCategory| (-130) (QUOTE (-1118)))) (|HasCategory| (-130) (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| (-130) (QUOTE (-1118))) (|HasCategory| (-130) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-130) (QUOTE (-1118))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130)))))) 
+((-3766 (-12 (|HasCategory| (-130) (QUOTE (-862))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130))))) (-12 (|HasCategory| (-130) (QUOTE (-1118))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130)))))) (-3766 (-12 (|HasCategory| (-130) (QUOTE (-1118))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130))))) (|HasCategory| (-130) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-130) (LIST (QUOTE -626) (QUOTE (-548)))) (-3766 (|HasCategory| (-130) (QUOTE (-862))) (|HasCategory| (-130) (QUOTE (-1118)))) (|HasCategory| (-130) (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| (-130) (QUOTE (-1118))) (|HasCategory| (-130) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-130) (QUOTE (-1118))) (|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 
@@ -472,11 +472,11 @@ NIL
 ((|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") $ $) "\\spad{x - y} returns an element \\spad{z} such that \\spad{z+y=x} or \"failed\" if no such element exists.")) (|commutative| ((|attribute| "*") "a domain \\spad{D} has \\spad{commutative(\"*\")} if it has an operation \\spad{\"*\": (D,D) -> D} which is commutative."))) 
 (((-4463 "*") . T)) 
 NIL 
-(-136 |minix| -4111 S T$) 
+(-136 |minix| -2834 S T$) 
 ((|constructor| (NIL "This package provides functions to enable conversion of tensors given conversion of the components.")) (|map| (((|CartesianTensor| |#1| |#2| |#4|) (|Mapping| |#4| |#3|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{map(f,ts)} does a componentwise conversion of the tensor \\spad{ts} to a tensor with components of type \\spad{T}.")) (|reshape| (((|CartesianTensor| |#1| |#2| |#4|) (|List| |#4|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{reshape(lt,ts)} organizes the list of components \\spad{lt} into a tensor with the same shape as \\spad{ts}."))) 
 NIL 
 NIL 
-(-137 |minix| -4111 R) 
+(-137 |minix| -2834 R) 
 ((|constructor| (NIL "CartesianTensor(minix,{}dim,{}\\spad{R}) provides Cartesian tensors with components belonging to a commutative ring \\spad{R}. These tensors can have any number of indices. Each index takes values from \\spad{minix} to \\spad{minix + dim - 1}.")) (|sample| (($) "\\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 
@@ -499,7 +499,7 @@ 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}."))) 
 ((-4461 . T) (-4451 . T) (-4462 . T)) 
-((-2838 (-12 (|HasCategory| (-145) (QUOTE (-379))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1118))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-145) (QUOTE (-379))) (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-145) (QUOTE (-1118))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-145) (QUOTE (-1118))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) 
+((-3766 (-12 (|HasCategory| (-145) (QUOTE (-379))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1118))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-145) (QUOTE (-379))) (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-145) (QUOTE (-1118))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-145) (QUOTE (-1118))) (|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 
@@ -524,7 +524,7 @@ NIL
 ((|constructor| (NIL "Rings of Characteristic Zero."))) 
 ((-4458 . T)) 
 NIL 
-(-149 -1398 UP UPUP) 
+(-149 -3030 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 
@@ -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 -1398) 
+(-159 R -3030) 
 ((|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 
@@ -598,7 +598,7 @@ NIL
 ((|HasCategory| |#2| (QUOTE (-925))) (|HasCategory| |#2| (QUOTE (-557))) (|HasCategory| |#2| (QUOTE (-1020))) (|HasCategory| |#2| (QUOTE (-1221))) (|HasCategory| |#2| (QUOTE (-1078))) (|HasCategory| |#2| (QUOTE (-1040))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-374))) (|HasAttribute| |#2| (QUOTE -4457)) (|HasAttribute| |#2| (QUOTE -4460)) (|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})"))) 
-((-4454 -2838 (|has| |#1| (-568)) (-12 (|has| |#1| (-317)) (|has| |#1| (-925)))) (-4459 |has| |#1| (-374)) (-4453 |has| |#1| (-374)) (-4457 |has| |#1| (-6 -4457)) (-4460 |has| |#1| (-6 -4460)) (-3541 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
+((-4454 -3766 (|has| |#1| (-568)) (-12 (|has| |#1| (-317)) (|has| |#1| (-925)))) (-4459 |has| |#1| (-374)) (-4453 |has| |#1| (-374)) (-4457 |has| |#1| (-6 -4457)) (-4460 |has| |#1| (-6 -4460)) (-3503 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . 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}."))) 
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(QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-360)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195))))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-379)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-840)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-1040)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-1221)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-2838 (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-925))))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-925)))) (-12 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(QUOTE -526) (QUOTE (-1195)) (|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 (-1078))) (-12 (|HasCategory| |#1| (QUOTE (-1078))) (|HasCategory| |#1| (QUOTE (-1221)))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-925))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-374)))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-239))) (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasAttribute| |#1| (QUOTE -4457)) (|HasAttribute| |#1| (QUOTE -4460)) (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195))))) (-2838 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-146)))) (-2838 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-360))))) 
+((-4454 -3766 (|has| |#1| (-568)) (-12 (|has| |#1| (-317)) (|has| |#1| (-925)))) (-4459 |has| |#1| (-374)) (-4453 |has| |#1| (-374)) (-4457 |has| |#1| (-6 -4457)) (-4460 |has| |#1| (-6 -4460)) (-3503 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
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(QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-360)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195))))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-379)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-840)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-1040)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-1221)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-3766 (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-925))))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-925)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-925)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-925))))) (-3766 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (QUOTE (-1020))) (|HasCategory| |#1| (QUOTE (-1221)))) (|HasCategory| |#1| (QUOTE (-1221))) (|HasCategory| |#1| (QUOTE (-1040))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3766 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-568)))) (-3766 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1195)) (|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 (-1078))) (-12 (|HasCategory| |#1| (QUOTE (-1078))) (|HasCategory| |#1| (QUOTE (-1221)))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-925))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-374)))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-239))) (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasAttribute| |#1| (QUOTE -4457)) (|HasAttribute| |#1| (QUOTE -4460)) (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195))))) (-3766 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-146)))) (-3766 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-925)))) (|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 
@@ -688,7 +688,7 @@ NIL
 ((|constructor| (NIL "This domain provides implementations for constructors.")) (|findConstructor| (((|Maybe| $) (|Identifier|)) "\\spad{findConstructor(s)} attempts to find a constructor named \\spad{s}. If successful,{} returns that constructor; otherwise,{} returns \\spad{nothing}."))) 
 NIL 
 NIL 
-(-190 R -1398) 
+(-190 R -3030) 
 ((|constructor| (NIL "\\spadtype{ComplexTrigonometricManipulations} provides function that compute the real and imaginary parts of complex functions.")) (|complexForm| (((|Complex| (|Expression| |#1|)) |#2|) "\\spad{complexForm(f)} returns \\spad{[real f, imag f]}.")) (|trigs| ((|#2| |#2|) "\\spad{trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (|real?| (((|Boolean|) |#2|) "\\spad{real?(f)} returns \\spad{true} if \\spad{f = real f}.")) (|imag| (((|Expression| |#1|) |#2|) "\\spad{imag(f)} returns the imaginary part of \\spad{f} where \\spad{f} is a complex function.")) (|real| (((|Expression| |#1|) |#2|) "\\spad{real(f)} returns the real part of \\spad{f} where \\spad{f} is a complex function.")) (|complexElementary| ((|#2| |#2| (|Symbol|)) "\\spad{complexElementary(f, x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.") ((|#2| |#2|) "\\spad{complexElementary(f)} rewrites \\spad{f} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.")) (|complexNormalize| ((|#2| |#2| (|Symbol|)) "\\spad{complexNormalize(f, x)} rewrites \\spad{f} using the least possible number of complex independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{complexNormalize(f)} rewrites \\spad{f} using the least possible number of complex independent kernels."))) 
 NIL 
 NIL 
@@ -796,23 +796,23 @@ NIL
 ((|constructor| (NIL "\\indented{1}{This domain implements a simple view of a database whose fields are} indexed by symbols")) (- (($ $ $) "\\spad{db1-db2} returns the difference of databases \\spad{db1} and \\spad{db2} \\spadignore{i.e.} consisting of elements in \\spad{db1} but not in \\spad{db2}")) (+ (($ $ $) "\\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 -1398 UP UPUP R) 
+(-217 -3030 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 -1398 FP) 
+(-218 -3030 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."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| (-576) (QUOTE (-925))) (|HasCategory| (-576) (LIST (QUOTE -1056) (QUOTE (-1195)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1040))) (|HasCategory| (-576) (QUOTE (-832))) (-2838 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-862)))) (|HasCategory| (-576) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1170))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-239))) (|HasCategory| (-576) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1195)) (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) (QUOTE (-862))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-925)))) (-2838 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-925)))) (|HasCategory| (-576) (QUOTE (-146))))) 
+((|HasCategory| (-576) (QUOTE (-925))) (|HasCategory| (-576) (LIST (QUOTE -1056) (QUOTE (-1195)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1040))) (|HasCategory| (-576) (QUOTE (-832))) (-3766 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-862)))) (|HasCategory| (-576) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1170))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-239))) (|HasCategory| (-576) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1195)) (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) (QUOTE (-862))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-925)))) (-3766 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-925)))) (|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|) $) "\\spad{head(d)} returns the head of the definition \\spad{`d'}. This is a list of identifiers starting with the name of the operation followed by the name of the parameters,{} if any."))) 
 NIL 
 NIL 
-(-221 R -1398) 
+(-221 R -3030) 
 ((|constructor| (NIL "\\spadtype{ElementaryFunctionDefiniteIntegration} provides functions to compute definite integrals of elementary functions.")) (|innerint| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{innerint(f, x, a, b, ignore?)} should be local but conditional")) (|integrate| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|)) (|String|)) "\\spad{integrate(f, x = a..b, \"noPole\")} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. If it is not possible to check whether \\spad{f} has a pole for \\spad{x} between a and \\spad{b} (because of parameters),{} then this function will assume that \\spad{f} has no such pole. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b} or if the last argument is not \"noPole\".") (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|))) "\\spad{integrate(f, x = a..b)} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b}."))) 
 NIL 
 NIL 
@@ -827,18 +827,18 @@ NIL
 (-224 S) 
 ((|constructor| (NIL "Linked list implementation of a Dequeue")) (|dequeue| (($ (|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}."))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-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}."))) 
 ((-4458 . T)) 
 NIL 
-(-226 R -1398) 
+(-226 R -3030) 
 ((|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}."))) 
-((-3530 . T) (-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
+((-3495 . T) (-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . 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)}.}"))) 
@@ -847,7 +847,7 @@ 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}"))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4463 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4463 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-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 
@@ -900,22 +900,22 @@ NIL
 ((|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 
-(-243 S -4111 R) 
+(-243 S -2834 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 
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-(-244 -4111 R) 
+(-244 -2834 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"))) 
 ((-4455 |has| |#2| (-1067)) (-4456 |has| |#2| (-1067)) (-4458 |has| |#2| (-6 -4458)) (-4461 . T)) 
 NIL 
-(-245 -4111 A B) 
+(-245 -2834 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 
-(-246 -4111 R) 
+(-246 -2834 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."))) 
 ((-4455 |has| |#2| (-1067)) (-4456 |has| |#2| (-1067)) (-4458 |has| |#2| (-6 -4458)) (-4461 . T)) 
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(QUOTE (-738)))) (-3766 (|HasCategory| |#2| (QUOTE (-1067))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576)))))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-1118)))) (|HasAttribute| |#2| (QUOTE -4458)) (|HasCategory| |#2| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))))) 
 (-247) 
 ((|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 
@@ -935,7 +935,7 @@ NIL
 (-251 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}"))) 
 ((-4462 . T) (-4461 . T)) 
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 (-252 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 
@@ -943,7 +943,7 @@ 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"))) 
 (((-4463 "*") |has| |#2| (-174)) (-4454 |has| |#2| (-568)) (-4459 |has| |#2| (-6 -4459)) (-4456 . T) (-4455 . T) (-4458 . T)) 
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 (-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|) $) "\\spad{constructor(d)} returns the domain constructor that is instantiated to the domain object \\spad{`d'}."))) 
 NIL 
@@ -958,12 +958,12 @@ NIL
 NIL 
 (-257 |n| R M S) 
 ((|constructor| (NIL "This constructor provides a direct product type with a left matrix-module view."))) 
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 (-258 |n| R S) 
 ((|constructor| (NIL "This constructor provides a direct product of \\spad{R}-modules with an \\spad{R}-module view."))) 
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 (-259 A R S V E) 
 ((|constructor| (NIL "\\spadtype{DifferentialPolynomialCategory} is a category constructor specifying basic functions in an ordinary differential polynomial ring with a given ordered set of differential indeterminates. In addition,{} it implements defaults for the basic functions. The functions \\spadfun{order} and \\spadfun{weight} are extended from the set of derivatives of differential indeterminates to the set of differential polynomials. Other operations provided on differential polynomials are \\spadfun{leader},{} \\spadfun{initial},{} \\spadfun{separant},{} \\spadfun{differentialVariables},{} and \\spadfun{isobaric?}. Furthermore,{} if the ground ring is a differential ring,{} then evaluation (substitution of differential indeterminates by elements of the ground ring or by differential polynomials) is provided by \\spadfun{eval}. A convenient way of referencing derivatives is provided by the functions \\spadfun{makeVariable}. \\blankline To construct a domain using this constructor,{} one needs to provide a ground ring \\spad{R},{} an ordered set \\spad{S} of differential indeterminates,{} a ranking \\spad{V} on the set of derivatives of the differential indeterminates,{} and a set \\spad{E} of exponents in bijection with the set of differential monomials in the given differential indeterminates. \\blankline")) (|separant| (($ $) "\\spad{separant(p)} returns the partial derivative of the differential polynomial \\spad{p} with respect to its leader.")) (|initial| (($ $) "\\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 
@@ -1023,7 +1023,7 @@ 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"))) 
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 (-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 -1398) 
+(-285 R -3030) 
 ((|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 -1398) 
+(-286 R -3030) 
 ((|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 
@@ -1124,7 +1124,7 @@ NIL
 ((|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| -3504 -1383 |exactQuo|) 
+(-299 S R |Mod| -2123 -4214 |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| $) "\\spad{modulus(x)} \\undocumented"))) 
 ((-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
 NIL 
@@ -1146,21 +1146,21 @@ NIL
 NIL 
 (-304 S) 
 ((|constructor| (NIL "Equations as mathematical objects. All properties of the basis domain,{} \\spadignore{e.g.} being an abelian group are carried over the equation domain,{} by performing the structural operations on the left and on the right hand side.")) (|subst| (($ $ $) "\\spad{subst(eq1,eq2)} substitutes \\spad{eq2} into both sides of \\spad{eq1} the \\spad{lhs} of \\spad{eq2} should be a kernel")) (|inv| (($ $) "\\spad{inv(x)} returns the multiplicative inverse of \\spad{x}.")) (/ (($ $ $) "\\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."))) 
-((-4458 -2838 (|has| |#1| (-1067)) (|has| |#1| (-485))) (-4455 |has| |#1| (-1067)) (-4456 |has| |#1| (-1067))) 
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 (-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."))) 
 ((-4461 . T) (-4462 . T)) 
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 (-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 -1398 S) 
+(-307 -3030 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 -1398) 
+(-308 E -3030) 
 ((|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 
@@ -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 -1398) 
+(-320 -3030) 
 ((|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 
@@ -1223,7 +1223,7 @@ 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))}."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . 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."))) 
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-(-327 R -1398) 
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+(-327 R -3030) 
 ((|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 
@@ -1247,7 +1247,7 @@ 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."))) 
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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 
@@ -1279,12 +1279,12 @@ 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."))) 
 ((-4462 . T) (-4461 . T)) 
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-(-338 S -1398) 
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+(-338 S -3030) 
 ((|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 -1398) 
+(-339 -3030) 
 ((|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."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
 NIL 
@@ -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 -1398 UP UPUP R) 
+(-345 S -3030 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 -1398 UP UPUP R) 
+(-346 -3030 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 -1398 UP UPUP R) 
+(-347 -3030 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 
@@ -1336,26 +1336,26 @@ NIL
 ((|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 -1398 UP UPUP) 
+(-352 S -3030 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 -1398 UP UPUP) 
+(-353 -3030 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."))) 
 ((-4454 |has| (-419 |#2|) (-374)) (-4459 |has| (-419 |#2|) (-374)) (-4453 |has| (-419 |#2|) (-374)) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . 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."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((-2838 (|HasCategory| (-926 |#1|) (QUOTE (-146))) (|HasCategory| (-926 |#1|) (QUOTE (-379)))) (|HasCategory| (-926 |#1|) (QUOTE (-148))) (|HasCategory| (-926 |#1|) (QUOTE (-379))) (|HasCategory| (-926 |#1|) (QUOTE (-146)))) 
+((-3766 (|HasCategory| (-926 |#1|) (QUOTE (-146))) (|HasCategory| (-926 |#1|) (QUOTE (-379)))) (|HasCategory| (-926 |#1|) (QUOTE (-148))) (|HasCategory| (-926 |#1|) (QUOTE (-379))) (|HasCategory| (-926 |#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."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((-2838 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) 
+((-3766 (|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."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((-2838 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) 
+((-3766 (|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 
@@ -1372,31 +1372,31 @@ NIL
 ((|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."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
 NIL 
-(-361 R UP -1398) 
+(-361 R UP -3030) 
 ((|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."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((-2838 (|HasCategory| (-926 |#1|) (QUOTE (-146))) (|HasCategory| (-926 |#1|) (QUOTE (-379)))) (|HasCategory| (-926 |#1|) (QUOTE (-148))) (|HasCategory| (-926 |#1|) (QUOTE (-379))) (|HasCategory| (-926 |#1|) (QUOTE (-146)))) 
+((-3766 (|HasCategory| (-926 |#1|) (QUOTE (-146))) (|HasCategory| (-926 |#1|) (QUOTE (-379)))) (|HasCategory| (-926 |#1|) (QUOTE (-148))) (|HasCategory| (-926 |#1|) (QUOTE (-379))) (|HasCategory| (-926 |#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."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((-2838 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) 
+((-3766 (|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."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((-2838 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) 
+((-3766 (|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}."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((-2838 (|HasCategory| (-926 |#1|) (QUOTE (-146))) (|HasCategory| (-926 |#1|) (QUOTE (-379)))) (|HasCategory| (-926 |#1|) (QUOTE (-148))) (|HasCategory| (-926 |#1|) (QUOTE (-379))) (|HasCategory| (-926 |#1|) (QUOTE (-146)))) 
+((-3766 (|HasCategory| (-926 |#1|) (QUOTE (-146))) (|HasCategory| (-926 |#1|) (QUOTE (-379)))) (|HasCategory| (-926 |#1|) (QUOTE (-148))) (|HasCategory| (-926 |#1|) (QUOTE (-379))) (|HasCategory| (-926 |#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."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((-2838 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) 
-(-367 -1398 GF) 
+((-3766 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) 
+(-367 -3030 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 
@@ -1404,14 +1404,14 @@ 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 -1398 FP FPP) 
+(-369 -3030 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}."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((-2838 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) 
+((-3766 (|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 
@@ -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}."))) 
-((-4444 . T) (-4452 . T) (-3530 . T) (-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
+((-4444 . T) (-4452 . T) (-3495 . T) (-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . 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}."))) 
@@ -1544,7 +1544,7 @@ NIL
 ((|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 -1398 UP UPUP R) 
+(-404 -3030 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 -2041 |returnType| -1574 |symbols|) 
+(-410 -1778 |returnType| -4224 |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 -1398 UP) 
+(-411 -3030 UP) 
 ((|constructor| (NIL "\\indented{1}{Full partial fraction expansion of rational functions} Author: Manuel Bronstein Date Created: 9 December 1992 Date Last Updated: 6 October 1993 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.}")) (D (($ $ (|NonNegativeInteger|)) "\\spad{D(f, n)} returns the \\spad{n}-th derivative of \\spad{f}.") (($ $) "\\spad{D(f)} returns the derivative of \\spad{f}.")) (|differentiate| (($ $ (|NonNegativeInteger|)) "\\spad{differentiate(f, n)} returns the \\spad{n}-th derivative of \\spad{f}.") (($ $) "\\spad{differentiate(f)} returns the derivative of \\spad{f}.")) (|construct| (($ (|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| $) "\\spad{p + x} returns the sum of \\spad{p} and \\spad{x}"))) 
 NIL 
 NIL 
@@ -1594,7 +1594,7 @@ NIL
 ((|HasAttribute| |#1| (QUOTE -4444)) (|HasAttribute| |#1| (QUOTE -4452))) 
 (-416) 
 ((|constructor| (NIL "This category is intended as a model for floating point systems. A floating point system is a model for the real numbers. In fact,{} it is an approximation in the sense that not all real numbers are exactly representable by floating point numbers. A floating point system is characterized by the following: \\blankline \\indented{2}{1: \\spadfunFrom{base}{FloatingPointSystem} of the \\spadfunFrom{exponent}{FloatingPointSystem}.} \\indented{9}{(actual implemenations are usually binary or decimal)} \\indented{2}{2: \\spadfunFrom{precision}{FloatingPointSystem} of the \\spadfunFrom{mantissa}{FloatingPointSystem} (arbitrary or fixed)} \\indented{2}{3: rounding error for operations} \\blankline Because a Float is an approximation to the real numbers,{} even though it is defined to be a join of a Field and OrderedRing,{} some of the attributes do not hold. In particular associative(\\spad{\"+\"}) does not hold. Algorithms defined over a field need special considerations when the field is a floating point system.")) (|max| (($) "\\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\"."))) 
-((-3530 . T) (-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
+((-3495 . T) (-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . 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."))) 
@@ -1607,7 +1607,7 @@ 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."))) 
 ((-4448 -12 (|has| |#1| (-6 -4459)) (|has| |#1| (-464)) (|has| |#1| (-6 -4448))) (-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| |#1| (QUOTE (-925))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-1195)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (QUOTE (-1040))) (|HasCategory| |#1| (QUOTE (-832))) (-2838 (|HasCategory| |#1| (QUOTE (-832))) (|HasCategory| |#1| (QUOTE (-862)))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-1170))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390)))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (-2838 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840))))) (-2838 (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840))))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1195)) (|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 -4459)) (|HasAttribute| |#1| (QUOTE -4448)) (|HasCategory| |#1| (QUOTE (-464)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-925)))) (-2838 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-146))))) 
+((|HasCategory| |#1| (QUOTE (-925))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-1195)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (QUOTE (-1040))) (|HasCategory| |#1| (QUOTE (-832))) (-3766 (|HasCategory| |#1| (QUOTE (-832))) (|HasCategory| |#1| (QUOTE (-862)))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-1170))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390)))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (-3766 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840))))) (-3766 (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840))))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1195)) (|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 -4459)) (|HasAttribute| |#1| (QUOTE -4448)) (|HasCategory| |#1| (QUOTE (-464)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-925)))) (-3766 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-925)))) (|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| $)) "\\spad{basis()} returns the fixed \\spad{R}-module basis."))) 
 NIL 
@@ -1628,11 +1628,11 @@ NIL
 ((|constructor| (NIL "\\indented{1}{Lifting of morphisms to fractional ideals.} Author: Manuel Bronstein Date Created: 1 Feb 1989 Date Last Updated: 27 Feb 1990 Keywords: ideal,{} algebra,{} module.")) (|map| (((|FractionalIdeal| |#5| |#6| |#7| |#8|) (|Mapping| |#5| |#1|) (|FractionalIdeal| |#1| |#2| |#3| |#4|)) "\\spad{map(f,i)} \\undocumented{}"))) 
 NIL 
 NIL 
-(-425 R -1398 UP A) 
+(-425 R -3030 UP A) 
 ((|constructor| (NIL "Fractional ideals in a framed algebra.")) (|randomLC| ((|#4| (|NonNegativeInteger|) (|Vector| |#4|)) "\\spad{randomLC(n,x)} should be local but conditional.")) (|minimize| (($ $) "\\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)}."))) 
 ((-4458 . T)) 
 NIL 
-(-426 R -1398 UP A |ibasis|) 
+(-426 R -3030 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 -1056) (|devaluate| |#2|)))) 
@@ -1651,7 +1651,7 @@ 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."))) 
 ((-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1195)) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -319) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -296) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-1240))) (-2838 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-1240)))) (|HasCategory| |#1| (QUOTE (-1040))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1195)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (-2838 (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (LIST (QUOTE -296) (QUOTE $) (QUOTE $)))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-464)))) 
+((|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1195)) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -319) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -296) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-1240))) (-3766 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-1240)))) (|HasCategory| |#1| (QUOTE (-1040))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1195)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (-3766 (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (LIST (QUOTE -296) (QUOTE $) (QUOTE $)))) (|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 
@@ -1680,7 +1680,7 @@ NIL
 ((|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|) $) "\\spad{cardinality(u)} returns the number of elements of \\spad{u}. Note: \\axiom{cardinality(\\spad{u}) = \\#u}."))) 
 ((-4461 . T) (-4451 . T) (-4462 . T)) 
 NIL 
-(-438 R -1398) 
+(-438 R -3030) 
 ((|constructor| (NIL "\\spadtype{FunctionSpaceComplexIntegration} provides functions for the indefinite integration of complex-valued functions.")) (|complexIntegrate| ((|#2| |#2| (|Symbol|)) "\\spad{complexIntegrate(f, x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable.")) (|internalIntegrate0| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate0 should} be a local function,{} but is conditional.")) (|internalIntegrate| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate(f, x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable."))) 
 NIL 
 NIL 
@@ -1688,7 +1688,7 @@ NIL
 ((|constructor| (NIL "\\indented{1}{Author: James Davenport} Date Created: 17 April 1992 Date Last Updated: Basic Functions: Related Constructors: Also See: AMS Classifications: Keywords: References: Description:")) (|makeCos| (($ |#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"))) 
 ((-4448 -12 (|has| |#1| (-6 -4448)) (|has| |#2| (-6 -4448))) (-4455 . T) (-4456 . T) (-4458 . T)) 
 ((-12 (|HasAttribute| |#1| (QUOTE -4448)) (|HasAttribute| |#2| (QUOTE -4448)))) 
-(-440 R -1398) 
+(-440 R -3030) 
 ((|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 -1056) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-1067))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-485))) (|HasCategory| |#2| (QUOTE (-1130))) (|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}."))) 
-((-4458 -2838 (|has| |#1| (-1067)) (|has| |#1| (-485))) (-4456 |has| |#1| (-174)) (-4455 |has| |#1| (-174)) ((-4463 "*") |has| |#1| (-568)) (-4454 |has| |#1| (-568)) (-4459 |has| |#1| (-568)) (-4453 |has| |#1| (-568))) 
+((-4458 -3766 (|has| |#1| (-1067)) (|has| |#1| (-485))) (-4456 |has| |#1| (-174)) (-4455 |has| |#1| (-174)) ((-4463 "*") |has| |#1| (-568)) (-4454 |has| |#1| (-568)) (-4459 |has| |#1| (-568)) (-4453 |has| |#1| (-568))) 
 NIL 
-(-443 R -1398) 
+(-443 R -3030) 
 ((|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 -1398) 
+(-444 R -3030) 
 ((|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 -1398) 
+(-445 R -3030) 
 ((|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 -1398 UP) 
+(-447 R -3030 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 -1056) (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 -1398) 
+(-455 R UP -3030) 
 ((|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 
@@ -1795,7 +1795,7 @@ NIL
 (-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"))) 
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 (-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 
@@ -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| -1398 R) 
+(-483 |lv| -3030 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 
@@ -1875,11 +1875,11 @@ 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.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|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."))) 
 (((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4459 |has| |#1| (-374)) (-4453 |has| |#1| (-374)) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2838 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|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 (-1130))) (|HasCategory| |#1| (QUOTE (-374))) (-2838 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2838 (|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 -2956) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2838 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-975))) (|HasCategory| |#1| (QUOTE (-1221))) (|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 -2254) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -4352) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3766 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|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 (-1130))) (|HasCategory| |#1| (QUOTE (-374))) (-3766 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-3766 (|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 -2884) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-3766 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-975))) (|HasCategory| |#1| (QUOTE (-1221))) (|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 -1956) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1607) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|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."))) 
 ((-4462 . T)) 
-((-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -1918) (|devaluate| |#2|)))))) (-2838 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (|HasCategory| |#2| (QUOTE (-1118)))) (-2838 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-862))) (-2838 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118)))) 
+((-12 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4169) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3180) (|devaluate| |#2|)))))) (-3766 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (|HasCategory| |#2| (QUOTE (-1118)))) (-3766 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-862))) (-3766 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118)))) 
 (-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)}"))) 
 ((-4462 . T) (-4461 . T)) 
@@ -1895,7 +1895,7 @@ 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."))) 
 ((-4461 . T) (-4462 . T)) 
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 (-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 
@@ -1903,11 +1903,11 @@ 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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 ((|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}."))) 
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 ((|constructor| (NIL "This domain represents the header of a definition.")) (|parameters| (((|List| (|ParameterAst|)) $) "\\spad{parameters(h)} gives the parameters specified in the definition header \\spad{`h'}.")) (|name| (((|Identifier|) $) "\\spad{name(h)} returns the name of the operation defined defined.")) (|headAst| (($ (|Identifier|) (|List| (|ParameterAst|))) "\\spad{headAst(f,[x1,..,xn])} constructs a function definition header."))) 
 NIL 
@@ -1915,8 +1915,8 @@ NIL
 (-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}."))) 
 ((-4461 . T) (-4462 . T)) 
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-(-497 -1398 UP UPUP R) 
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+(-497 -3030 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 
@@ -1927,7 +1927,7 @@ 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."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| (-576) (QUOTE (-925))) (|HasCategory| (-576) (LIST (QUOTE -1056) (QUOTE (-1195)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1040))) (|HasCategory| (-576) (QUOTE (-832))) (-2838 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-862)))) (|HasCategory| (-576) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1170))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-239))) (|HasCategory| (-576) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1195)) (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) (QUOTE (-862))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-925)))) (-2838 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-925)))) (|HasCategory| (-576) (QUOTE (-146))))) 
+((|HasCategory| (-576) (QUOTE (-925))) (|HasCategory| (-576) (LIST (QUOTE -1056) (QUOTE (-1195)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1040))) (|HasCategory| (-576) (QUOTE (-832))) (-3766 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-862)))) (|HasCategory| (-576) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1170))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-239))) (|HasCategory| (-576) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1195)) (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) (QUOTE (-862))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-925)))) (-3766 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-925)))) (|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|) $) "\\spad{map(f,u)} returns a copy of \\spad{u} with each element \\spad{x} replaced by \\spad{f}(\\spad{x}). For collections,{} \\axiom{map(\\spad{f},{}\\spad{u}) = [\\spad{f}(\\spad{x}) for \\spad{x} in \\spad{u}]}."))) 
 NIL 
@@ -1952,7 +1952,7 @@ NIL
 ((|constructor| (NIL "Category for the hyperbolic trigonometric functions.")) (|tanh| (($ $) "\\spad{tanh(x)} returns the hyperbolic tangent of \\spad{x}.")) (|sinh| (($ $) "\\spad{sinh(x)} returns the hyperbolic sine of \\spad{x}.")) (|sech| (($ $) "\\spad{sech(x)} returns the hyperbolic secant of \\spad{x}.")) (|csch| (($ $) "\\spad{csch(x)} returns the hyperbolic cosecant of \\spad{x}.")) (|coth| (($ $) "\\spad{coth(x)} returns the hyperbolic cotangent of \\spad{x}.")) (|cosh| (($ $) "\\spad{cosh(x)} returns the hyperbolic cosine of \\spad{x}."))) 
 NIL 
 NIL 
-(-506 -1398 UP |AlExt| |AlPol|) 
+(-506 -3030 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 
@@ -1963,16 +1963,16 @@ NIL
 (-508 S |mn|) 
 ((|constructor| (NIL "\\indented{1}{Author Micheal Monagan Aug/87} This is the basic one dimensional array data type."))) 
 ((-4462 . T) (-4461 . T)) 
-((-2838 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2838 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-3766 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3766 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|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."))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-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 -1398) 
+(-511 R UP -3030) 
 ((|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| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}"))) 
 NIL 
 NIL 
@@ -1992,7 +1992,7 @@ NIL
 ((|constructor| (NIL "InnerCommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#4|) "\\spad{splitDenominator([q1,...,qn])} returns \\spad{[[p1,...,pn], d]} such that \\spad{qi = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|clearDenominator| ((|#3| |#4|) "\\spad{clearDenominator([q1,...,qn])} returns \\spad{[p1,...,pn]} such that \\spad{qi = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|commonDenominator| ((|#1| |#4|) "\\spad{commonDenominator([q1,...,qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}\\spad{qn}."))) 
 NIL 
 NIL 
-(-516 -1398 |Expon| |VarSet| |DPoly|) 
+(-516 -3030 |Expon| |VarSet| |DPoly|) 
 ((|constructor| (NIL "This domain represents polynomial ideals with coefficients in any field and supports the basic ideal operations,{} including intersection sum and quotient. An ideal is represented by a list of polynomials (the generators of the ideal) and a boolean that is \\spad{true} if the generators are a Groebner basis. The algorithms used are based on Groebner basis computations. The ordering is determined by the datatype of the input polynomials. Users may use refinements of total degree orderings.")) (|relationsIdeal| (((|SuchThat| (|List| (|Polynomial| |#1|)) (|List| (|Equation| (|Polynomial| |#1|)))) (|List| |#4|)) "\\spad{relationsIdeal(polyList)} returns the ideal of relations among the polynomials in \\spad{polyList}.")) (|saturate| (($ $ |#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}.")) (* (($ $ $) "\\spad{I*J} computes the product of the ideal \\spad{I} and \\spad{J}."))) 
 NIL 
 ((|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-1195))))) 
@@ -2043,7 +2043,7 @@ NIL
 (-528 S |mn|) 
 ((|constructor| (NIL "\\indented{1}{Author: Michael Monagan July/87,{} modified \\spad{SMW} June/91} A FlexibleArray is the notion of an array intended to allow for growth at the end only. Hence the following efficient operations \\indented{2}{\\spad{append(x,a)} meaning append item \\spad{x} at the end of the array \\spad{a}} \\indented{2}{\\spad{delete(a,n)} meaning delete the last item from the array \\spad{a}} Flexible arrays support the other operations inherited from \\spadtype{ExtensibleLinearAggregate}. However,{} these are not efficient. Flexible arrays combine the \\spad{O(1)} access time property of arrays with growing and shrinking at the end in \\spad{O(1)} (average) time. This is done by using an ordinary array which may have zero or more empty slots at the end. When the array becomes full it is copied into a new larger (50\\% larger) array. Conversely,{} when the array becomes less than 1/2 full,{} it is copied into a smaller array. Flexible arrays provide for an efficient implementation of many data structures in particular heaps,{} stacks and sets.")) (|shrinkable| (((|Boolean|) (|Boolean|)) "\\spad{shrinkable(b)} sets the shrinkable attribute of flexible arrays to \\spad{b} and returns the previous value")) (|physicalLength!| (($ $ (|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}"))) 
 ((-4462 . T) (-4461 . T)) 
-((-2838 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2838 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-3766 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3766 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|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 
@@ -2051,15 +2051,15 @@ 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}."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((-2838 (|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)))) 
+((-3766 (|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}."))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-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."))) 
 ((-4462 . T) (-4461 . T)) 
-((-2838 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2838 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-3766 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3766 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|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 
@@ -2071,7 +2071,7 @@ NIL
 (-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."))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4463 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4463 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-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 -1398 |Par|) 
+(-544 K -3030 |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 -1398 |Par|) 
+(-550 K -3030 |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 
@@ -2179,12 +2179,12 @@ NIL
 (-562 |Key| |Entry| |addDom|) 
 ((|constructor| (NIL "This domain is used to provide a conditional \"add\" domain for the implementation of \\spadtype{Table}."))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -1918) (|devaluate| |#2|)))))) (-2838 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (|HasCategory| |#2| (QUOTE (-1118)))) (-2838 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-1118))) (-2838 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -625) (QUOTE (-874))))) 
-(-563 R -1398) 
+((-12 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4169) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3180) (|devaluate| |#2|)))))) (-3766 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (|HasCategory| |#2| (QUOTE (-1118)))) (-3766 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-1118))) (-3766 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -625) (QUOTE (-874))))) 
+(-563 R -3030) 
 ((|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 -1398 UP UPUP R) 
+(-564 R0 -3030 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."))) 
-((-3530 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
+((-3495 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . 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."))) 
@@ -2204,7 +2204,7 @@ NIL
 ((|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."))) 
 ((-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
 NIL 
-(-569 R -1398) 
+(-569 R -3030) 
 ((|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 -1398 L) 
+(-572 R -3030 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|)))) 
@@ -2224,11 +2224,11 @@ 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 -1398 UP UPUP R) 
+(-574 -3030 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 -1398 UP) 
+(-575 -3030 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 
@@ -2240,15 +2240,15 @@ NIL
 ((|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 -1398 L) 
+(-578 R -3030 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 -1398) 
+(-579 R -3030) 
 ((|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 -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-1157)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-641))))) 
-(-580 -1398 UP) 
+(-580 -3030 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 -1398) 
+(-582 -3030) 
 ((|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."))) 
-((-3530 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
+((-3495 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . 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 -1398) 
+(-585 R -3030) 
 ((|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 -905) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-294))) (|HasCategory| |#2| (QUOTE (-641))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-1195))))) (-12 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-294)))) (|HasCategory| |#1| (QUOTE (-568)))) 
-(-586 -1398 UP) 
+(-586 -3030 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 -1398) 
+(-587 R -3030) 
 ((|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 
@@ -2308,11 +2308,11 @@ NIL
 ((|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 -1398) 
+(-595 R -3030) 
 ((|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 -1398) 
+(-596 E -3030) 
 ((|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 
@@ -2320,7 +2320,7 @@ 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 -1398) 
+(-598 -3030) 
 ((|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}."))) 
 ((-4456 . T) (-4455 . T)) 
 ((|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-1195))))) 
@@ -2351,7 +2351,7 @@ NIL
 (-605 |mn|) 
 ((|constructor| (NIL "This domain implements low-level strings"))) 
 ((-4462 . T) (-4461 . T)) 
-((-2838 (-12 (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1118))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (-2838 (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-145) (QUOTE (-1118))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (-2838 (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-145) (QUOTE (-1118)))) (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| (-145) (QUOTE (-1118))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-145) (QUOTE (-1118))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) 
+((-3766 (-12 (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1118))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (-3766 (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-145) (QUOTE (-1118))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (-3766 (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-145) (QUOTE (-1118)))) (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| (-145) (QUOTE (-1118))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-145) (QUOTE (-1118))) (|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 
@@ -2359,7 +2359,7 @@ 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}."))) 
 (((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2838 (|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 -914) (QUOTE (-1195)))) (|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 (-1130))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -2956) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-576)))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-3766 (|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 -914) (QUOTE (-1195)))) (|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 (-1130))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -2884) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|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.}"))) 
 (((-4463 "*") |has| |#1| (-568)) (-4454 |has| |#1| (-568)) (-4455 . T) (-4456 . T) (-4458 . T)) 
@@ -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 -1398 FG) 
+(-612 R -3030 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 
@@ -2387,7 +2387,7 @@ NIL
 (-614 R |mn|) 
 ((|constructor| (NIL "\\indented{2}{This type represents vector like objects with varying lengths} and a user-specified initial index."))) 
 ((-4462 . T) (-4461 . T)) 
-((-2838 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2838 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1067))) (-12 (|HasCategory| |#1| (QUOTE (-1020))) (|HasCategory| |#1| (QUOTE (-1067)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-3766 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3766 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1067))) (-12 (|HasCategory| |#1| (QUOTE (-1020))) (|HasCategory| |#1| (QUOTE (-1067)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|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|) $) "\\spad{entries(u)} returns a list of all the entries of aggregate \\spad{u} in no assumed order."))) 
 NIL 
@@ -2406,12 +2406,12 @@ NIL
 NIL 
 (-619 R A) 
 ((|constructor| (NIL "\\indented{1}{AssociatedJordanAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$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)."))) 
-((-4458 -2838 (-2096 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4456 . T) (-4455 . T)) 
-((-2838 (|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|)))) (-2838 (-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|)))) 
+((-4458 -3766 (-3227 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4456 . T) (-4455 . T)) 
+((-3766 (|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|)))) (-3766 (-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."))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3672) (QUOTE (-1177))) (LIST (QUOTE |:|) (QUOTE -1918) (|devaluate| |#1|)))))) (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| (-1177) (QUOTE (-862))) (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|)) (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|)) (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4169) (QUOTE (-1177))) (LIST (QUOTE |:|) (QUOTE -3180) (|devaluate| |#1|)))))) (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| (-1177) (QUOTE (-862))) (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|)) (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|)) (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-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 
@@ -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| $) "\\spad{convert(a)} transforms a into an element of \\spad{S}."))) 
 NIL 
 NIL 
-(-627 -1398 UP) 
+(-627 -3030 UP) 
 ((|constructor| (NIL "\\spadtype{Kovacic} provides a modified Kovacic\\spad{'s} algorithm for solving explicitely irreducible 2nd order linear ordinary differential equations.")) (|kovacic| (((|Union| (|SparseUnivariatePolynomial| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{kovacic(a_0,a_1,a_2,ezfactor)} returns either \"failed\" or \\spad{P}(\\spad{u}) such that \\spad{\\$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 
@@ -2464,14 +2464,14 @@ NIL
 ((|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}."))) 
 ((-4455 . T) (-4456 . T) (-4458 . T)) 
 ((|HasCategory| |#1| (QUOTE (-860)))) 
-(-634 R -1398) 
+(-634 R -3030) 
 ((|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"))) 
 ((-4456 . T) (-4455 . T) ((-4463 "*") . T) (-4454 . T) (-4458 . T)) 
-((|HasCategory| |#2| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#2| (QUOTE (-239))) (-2838 (|HasCategory| |#2| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#2| (QUOTE (-239)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576))))) 
+((|HasCategory| |#2| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#2| (QUOTE (-239))) (-3766 (|HasCategory| |#2| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#2| (QUOTE (-239)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (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."))) 
 NIL 
@@ -2496,18 +2496,18 @@ 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 -1398) 
+(-642 R -3030) 
 ((|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| -1398) 
+(-643 |lv| -3030) 
 ((|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."))) 
 ((-4462 . T)) 
-((-12 (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 (-52))) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3672) (QUOTE (-1177))) (LIST (QUOTE |:|) (QUOTE -1918) (QUOTE (-52))))))) (-2838 (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 (-52))) (QUOTE (-1118))) (|HasCategory| (-52) (QUOTE (-1118)))) (-2838 (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 (-52))) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (QUOTE (-1118))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1118))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-1177) (QUOTE (-862))) (-2838 (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-52) (QUOTE (-1118))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 (-52))) (QUOTE (-1118)))) 
+((-12 (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 (-52))) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4169) (QUOTE (-1177))) (LIST (QUOTE |:|) (QUOTE -3180) (QUOTE (-52))))))) (-3766 (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 (-52))) (QUOTE (-1118))) (|HasCategory| (-52) (QUOTE (-1118)))) (-3766 (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 (-52))) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (QUOTE (-1118))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1118))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-1177) (QUOTE (-862))) (-3766 (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-52) (QUOTE (-1118))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 (-52))) (QUOTE (-1118)))) 
 (-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| (($ $ $) "\\axiom{construct(\\spad{x},{}\\spad{y})} returns the Lie bracket of \\axiom{\\spad{x}} and \\axiom{\\spad{y}}."))) 
 NIL 
@@ -2518,8 +2518,8 @@ NIL
 NIL 
 (-647 R A) 
 ((|constructor| (NIL "AssociatedLieAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$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)."))) 
-((-4458 -2838 (-2096 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4456 . T) (-4455 . T)) 
-((-2838 (|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|)))) (-2838 (-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|)))) 
+((-4458 -3766 (-3227 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4456 . T) (-4455 . T)) 
+((-3766 (|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|)))) (-3766 (-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 
-((-2085 (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-374)))) 
+((-3216 (|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}.") (((|Matrix| |#1|) (|Vector| $)) "\\spad{reducedSystem [v1,...,vn]} returns a matrix \\spad{M} with coefficients in \\spad{R} such that the system of equations \\spad{c1*v1 + ... + cn*vn = 0\\$\\%} has the same solution as \\spad{c * M = 0} where \\spad{c} is the row vector \\spad{[c1,...cn]}."))) 
 NIL 
@@ -2555,7 +2555,7 @@ 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."))) 
 ((-4462 . T) (-4461 . T)) 
-((-2838 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2838 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-840))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-3766 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3766 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-840))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
 (-657 T$) 
 ((|constructor| (NIL "This domain represents AST for Spad literals."))) 
 NIL 
@@ -2567,7 +2567,7 @@ NIL
 (-659 S) 
 ((|substitute| (($ |#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."))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-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 
@@ -2584,7 +2584,7 @@ NIL
 ((|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 -1398 L) 
+(-664 R -3030 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 
@@ -2604,11 +2604,11 @@ NIL
 ((|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}."))) 
 ((-4455 . T) (-4456 . T) (-4458 . T)) 
 NIL 
-(-669 -1398 UP) 
+(-669 -3030 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 -2530) 
+(-670 A -2293) 
 ((|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}}"))) 
 ((-4455 . T) (-4456 . T) (-4458 . T)) 
 ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-374)))) 
@@ -2644,11 +2644,11 @@ NIL
 ((|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}."))) 
 ((-4462 . T) (-4461 . T)) 
 NIL 
-(-679 -1398) 
+(-679 -3030) 
 ((|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 -1398 |Row| |Col| M) 
+(-680 -3030 |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 
@@ -2659,7 +2659,7 @@ 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."))) 
 ((-4458 . T) (-4461 . T) (-4455 . T) (-4456 . T)) 
-((|HasCategory| |#2| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasAttribute| |#2| (QUOTE (-4463 "*"))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576)))) (-2838 (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|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 -914) (QUOTE (-1195)))))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-568))) (-2838 (|HasAttribute| |#2| (QUOTE (-4463 "*"))) (|HasCategory| |#2| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#2| (QUOTE (-239)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) 
+((|HasCategory| |#2| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasAttribute| |#2| (QUOTE (-4463 "*"))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576)))) (-3766 (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|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 -914) (QUOTE (-1195)))))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-568))) (-3766 (|HasAttribute| |#2| (QUOTE (-4463 "*"))) (|HasCategory| |#2| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#2| (QUOTE (-239)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|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 
-((-2838 (-12 (|HasCategory| |#1| (QUOTE (-1067))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (QUOTE (-1067))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-3766 (-12 (|HasCategory| |#1| (QUOTE (-1067))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (QUOTE (-1067))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|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 
@@ -2735,7 +2735,7 @@ NIL
 (-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."))) 
 ((-4461 . T) (-4462 . T)) 
-((-2838 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4463 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-3766 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4463 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|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 -1398 FLAF FLAS) 
+(-704 S -3030 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 
@@ -2754,8 +2754,8 @@ 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"))) 
-((-4454 . T) (-4459 |has| (-711) (-374)) (-4453 |has| (-711) (-374)) (-3541 . T) (-4460 |has| (-711) (-6 -4460)) (-4457 |has| (-711) (-6 -4457)) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| (-711) (QUOTE (-148))) (|HasCategory| (-711) (QUOTE (-146))) (|HasCategory| (-711) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-711) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-711) (QUOTE (-379))) (|HasCategory| (-711) (QUOTE (-374))) (-2838 (|HasCategory| (-711) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-711) (QUOTE (-239))) (-2838 (|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 (-1195)) (QUOTE (-711)))) (|HasCategory| (-711) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-711) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-711) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-711) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (-2838 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-374))) (|HasCategory| (-711) (QUOTE (-360)))) (|HasCategory| (-711) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-711) (QUOTE (-1040))) (|HasCategory| (-711) (QUOTE (-1221))) (-12 (|HasCategory| (-711) (QUOTE (-1020))) (|HasCategory| (-711) (QUOTE (-1221)))) (-2838 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-925)))) (|HasCategory| (-711) (QUOTE (-374))) (-12 (|HasCategory| (-711) (QUOTE (-360))) (|HasCategory| (-711) (QUOTE (-925))))) (-2838 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-925)))) (-12 (|HasCategory| (-711) (QUOTE (-374))) (|HasCategory| (-711) (QUOTE (-925)))) (-12 (|HasCategory| (-711) (QUOTE (-360))) (|HasCategory| (-711) (QUOTE (-925))))) (|HasCategory| (-711) (QUOTE (-557))) (-12 (|HasCategory| (-711) (QUOTE (-1078))) (|HasCategory| (-711) (QUOTE (-1221)))) (|HasCategory| (-711) (QUOTE (-1078))) (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-925))) (-2838 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-925)))) (|HasCategory| (-711) (QUOTE (-374)))) (-2838 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-925)))) (|HasCategory| (-711) (QUOTE (-568)))) (-12 (|HasCategory| (-711) (QUOTE (-239))) (|HasCategory| (-711) (QUOTE (-374)))) (-12 (|HasCategory| (-711) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| (-711) (QUOTE (-568))) (|HasAttribute| (-711) (QUOTE -4460)) (|HasAttribute| (-711) (QUOTE -4457)) (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-925)))) (-2838 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-925)))) (|HasCategory| (-711) (QUOTE (-146)))) (-2838 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-925)))) (|HasCategory| (-711) (QUOTE (-360))))) 
+((-4454 . T) (-4459 |has| (-711) (-374)) (-4453 |has| (-711) (-374)) (-3503 . T) (-4460 |has| (-711) (-6 -4460)) (-4457 |has| (-711) (-6 -4457)) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
+((|HasCategory| (-711) (QUOTE (-148))) (|HasCategory| (-711) (QUOTE (-146))) (|HasCategory| (-711) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-711) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-711) (QUOTE (-379))) (|HasCategory| (-711) (QUOTE (-374))) (-3766 (|HasCategory| (-711) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-711) (QUOTE (-239))) (-3766 (|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 (-1195)) (QUOTE (-711)))) (|HasCategory| (-711) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-711) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-711) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-711) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (-3766 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-374))) (|HasCategory| (-711) (QUOTE (-360)))) (|HasCategory| (-711) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-711) (QUOTE (-1040))) (|HasCategory| (-711) (QUOTE (-1221))) (-12 (|HasCategory| (-711) (QUOTE (-1020))) (|HasCategory| (-711) (QUOTE (-1221)))) (-3766 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-925)))) (|HasCategory| (-711) (QUOTE (-374))) (-12 (|HasCategory| (-711) (QUOTE (-360))) (|HasCategory| (-711) (QUOTE (-925))))) (-3766 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-925)))) (-12 (|HasCategory| (-711) (QUOTE (-374))) (|HasCategory| (-711) (QUOTE (-925)))) (-12 (|HasCategory| (-711) (QUOTE (-360))) (|HasCategory| (-711) (QUOTE (-925))))) (|HasCategory| (-711) (QUOTE (-557))) (-12 (|HasCategory| (-711) (QUOTE (-1078))) (|HasCategory| (-711) (QUOTE (-1221)))) (|HasCategory| (-711) (QUOTE (-1078))) (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-925))) (-3766 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-925)))) (|HasCategory| (-711) (QUOTE (-374)))) (-3766 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-925)))) (|HasCategory| (-711) (QUOTE (-568)))) (-12 (|HasCategory| (-711) (QUOTE (-239))) (|HasCategory| (-711) (QUOTE (-374)))) (-12 (|HasCategory| (-711) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| (-711) (QUOTE (-568))) (|HasAttribute| (-711) (QUOTE -4460)) (|HasAttribute| (-711) (QUOTE -4457)) (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-925)))) (-3766 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-925)))) (|HasCategory| (-711) (QUOTE (-146)))) (-3766 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-925)))) (|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}."))) 
 ((-4462 . T)) 
@@ -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 -1398 PG) 
+(-710 OV E -3030 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}"))) 
-((-3530 . T) (-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
+((-3495 . T) (-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . 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."))) 
@@ -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 -3590 I) 
+(-718 S -3431 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 
@@ -2820,14 +2820,14 @@ 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| -3504 -1383 |exactQuo|) 
+(-723 R |Mod| -2123 -4214 |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| $) "\\spad{modulus(x)} \\undocumented"))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
 NIL 
 (-724 R |Rep|) 
 ((|constructor| (NIL "This package \\undocumented")) (|frobenius| (($ $) "\\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"))) 
 (((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4457 |has| |#1| (-374)) (-4459 |has| |#1| (-6 -4459)) (-4456 . T) (-4455 . T) (-4458 . T)) 
-((|HasCategory| |#1| (QUOTE (-925))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2838 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1100) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| (-1100) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| (-1100) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-1100) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-1100) (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 -1056) (QUOTE (-576)))) (-2838 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (-2838 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-925)))) (-2838 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-925)))) (-2838 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-1170))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-239))) (|HasAttribute| |#1| (QUOTE -4459)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-925)))) (-2838 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-146))))) 
+((|HasCategory| |#1| (QUOTE (-925))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3766 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1100) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| (-1100) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| (-1100) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-1100) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-1100) (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 -1056) (QUOTE (-576)))) (-3766 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (-3766 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-925)))) (-3766 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-925)))) (-3766 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-1170))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-239))) (|HasAttribute| |#1| (QUOTE -4459)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-925)))) (-3766 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-925)))) (|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| $) "\\spad{exponent(x)} \\undocumented"))) 
 NIL 
@@ -2836,7 +2836,7 @@ NIL
 ((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#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| (($ $ $) "\\spad{adjoint(op1, op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) 
 ((-4456 |has| |#1| (-174)) (-4455 |has| |#1| (-174)) (-4458 . T)) 
 ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148)))) 
-(-727 R |Mod| -3504 -1383 |exactQuo|) 
+(-727 R |Mod| -2123 -4214 |exactQuo|) 
 ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\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"))) 
 ((-4458 . T)) 
 NIL 
@@ -2848,7 +2848,7 @@ NIL
 ((|constructor| (NIL "The category of modules over a commutative ring. \\blankline"))) 
 ((-4456 . T) (-4455 . T)) 
 NIL 
-(-730 -1398) 
+(-730 -3030) 
 ((|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]]}."))) 
 ((-4458 . T)) 
 NIL 
@@ -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 -1398 UP) 
+(-739 -3030 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 
@@ -2903,7 +2903,7 @@ 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."))) 
 (((-4463 "*") |has| |#2| (-174)) (-4454 |has| |#2| (-568)) (-4459 |has| |#2| (-6 -4459)) (-4456 . T) (-4455 . T) (-4458 . T)) 
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 (-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 
@@ -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 -1398) 
+(-777 -3030) 
 ((|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 -1398) 
+(-778 P -3030) 
 ((|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 -1398) 
+(-780 UP -3030) 
 ((|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 
@@ -3064,7 +3064,7 @@ NIL
 ((|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."))) 
 (((-4463 "*") . T)) 
 NIL 
-(-784 R -1398) 
+(-784 R -3030) 
 ((|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 -1398 |ExtF| |SUEx| |ExtP| |n|) 
+(-789 -3030 |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 
@@ -3099,7 +3099,7 @@ 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 
@@ -3107,7 +3107,7 @@ 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| $) "\\axiom{fmecg(\\spad{p1},{}\\spad{e},{}\\spad{r},{}\\spad{p2})} returns \\axiom{\\spad{p1} - \\spad{r} * X**e * \\spad{p2}} where \\axiom{\\spad{X}} is \\axiom{monomial(1,{}1)}"))) 
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 (-795 R) 
 ((|constructor| (NIL "This package provides polynomials as functions on a ring.")) (|eulerE| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{eulerE(n,r)} \\undocumented")) (|bernoulliB| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{bernoulliB(n,r)} \\undocumented")) (|cyclotomic| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{cyclotomic(n,r)} \\undocumented"))) 
 NIL 
@@ -3168,23 +3168,23 @@ NIL
 ((|constructor| (NIL "OctonionCategory gives the categorial frame for the octonions,{} and eight-dimensional non-associative algebra,{} doubling the the quaternions in the same way as doubling the Complex numbers to get the quaternions.")) (|inv| (($ $) "\\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| $) "\\spad{real(o)} extracts real part of octonion \\spad{o}.")) (|conjugate| (($ $) "\\spad{conjugate(o)} negates the imaginary parts \\spad{i},{}\\spad{j},{}\\spad{k},{}\\spad{E},{}\\spad{I},{}\\spad{J},{}\\spad{K} of octonian \\spad{o}."))) 
 ((-4455 . T) (-4456 . T) (-4458 . T)) 
 NIL 
-(-810 -2838 R OS S) 
+(-810 -3766 R OS S) 
 ((|constructor| (NIL "OctonionCategoryFunctions2 implements functions between two octonion domains defined over different rings. The function map is used to coerce between octonion types.")) (|map| ((|#3| (|Mapping| |#4| |#2|) |#1|) "\\spad{map(f,u)} maps \\spad{f} onto the component parts of the octonion \\spad{u}."))) 
 NIL 
 NIL 
 (-811 R) 
 ((|constructor| (NIL "Octonion implements octonions (Cayley-Dixon algebra) over a commutative ring,{} an eight-dimensional non-associative algebra,{} doubling the quaternions in the same way as doubling the complex numbers to get the quaternions the main constructor function is {\\em octon} which takes 8 arguments: the real part,{} the \\spad{i} imaginary part,{} the \\spad{j} imaginary part,{} the \\spad{k} imaginary part,{} (as with quaternions) and in addition the imaginary parts \\spad{E},{} \\spad{I},{} \\spad{J},{} \\spad{K}.")) (|octon| (($ (|Quaternion| |#1|) (|Quaternion| |#1|)) "\\spad{octon(qe,qE)} constructs an octonion from two quaternions using the relation {\\em O = Q + QE}."))) 
 ((-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1195)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (-2838 (|HasCategory| (-1017 |#1|) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2838 (|HasCategory| (-1017 |#1|) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-1078))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| (-1017 |#1|) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1017 |#1|) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576))))) 
+((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1195)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (-3766 (|HasCategory| (-1017 |#1|) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576)))))) (-3766 (|HasCategory| (-1017 |#1|) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-1078))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| (-1017 |#1|) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1017 |#1|) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (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 -1398 L) 
+(-813 R -3030 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 -1398) 
+(-814 R -3030) 
 ((|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 -1398) 
+(-816 R -3030) 
 ((|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 -1398 UP UPUP R) 
+(-818 -3030 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 -1398 UP L LQ) 
+(-819 -3030 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 
@@ -3212,38 +3212,38 @@ 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 -1398 UP L LQ) 
+(-821 -3030 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 -1398 UP) 
+(-822 -3030 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 -1398 L UP A LO) 
+(-823 -3030 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 -1398 UP) 
+(-824 -3030 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 -1398 LO) 
+(-825 -3030 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 -1398 LODO) 
+(-826 -3030 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 -4111 S |f|) 
+(-827 -2834 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}."))) 
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(QUOTE (-21))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-132))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-379))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-738))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-805))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-862))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-1067))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576)))))) (-3766 (-12 (|HasCategory| |#2| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-132))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-379))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-738))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-805))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-862))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-1067))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576)))))) (|HasCategory| (-576) (QUOTE (-862))) (-12 (|HasCategory| |#2| (QUOTE (-1067))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (QUOTE (-1067)))) (-12 (|HasCategory| |#2| (QUOTE (-1067))) (|HasCategory| |#2| (LIST (QUOTE -914) (QUOTE (-1195))))) (-3766 (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-738)))) (-3766 (|HasCategory| |#2| (QUOTE (-1067))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576)))))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-1118)))) (|HasAttribute| |#2| (QUOTE -4458)) (|HasCategory| |#2| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|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"))) 
 (((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4459 |has| |#1| (-6 -4459)) (-4456 . T) (-4455 . T) (-4458 . T)) 
-((|HasCategory| |#1| (QUOTE (-925))) (-2838 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-925)))) (-2838 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-925)))) (-2838 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2838 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-830 (-1195)) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| (-830 (-1195)) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| (-830 (-1195)) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-830 (-1195)) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-830 (-1195)) (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 -1056) (QUOTE (-576)))) (-2838 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4459)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-925)))) (-2838 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-146))))) 
+((|HasCategory| |#1| (QUOTE (-925))) (-3766 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-925)))) (-3766 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-925)))) (-3766 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3766 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-830 (-1195)) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| (-830 (-1195)) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| (-830 (-1195)) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-830 (-1195)) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-830 (-1195)) (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 -1056) (QUOTE (-576)))) (-3766 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4459)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-925)))) (-3766 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-925)))) (|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."))) 
 (((-4463 "*") |has| |#2| (-374)) (-4454 |has| |#2| (-374)) (-4459 |has| |#2| (-374)) (-4453 |has| |#2| (-374)) (-4458 . T) (-4456 . T) (-4455 . T)) 
@@ -3311,7 +3311,7 @@ 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."))) 
 ((-4458 |has| |#1| (-860))) 
-((|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (QUOTE (-21))) (-2838 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-860)))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (-2838 (|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-557)))) 
+((|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (QUOTE (-21))) (-3766 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-860)))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (-3766 (|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (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 
@@ -3351,12 +3351,12 @@ 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| (($) "\\spad{plusInfinity()} returns +infinity."))) 
 ((-4458 |has| |#1| (-860))) 
-((|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (QUOTE (-21))) (-2838 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-860)))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (-2838 (|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-557)))) 
+((|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (QUOTE (-21))) (-3766 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-860)))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (-3766 (|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-557)))) 
 (-856) 
 ((|constructor| (NIL "Ordered finite sets.")) (|max| (($) "\\spad{max} is the maximum value of \\%.")) (|min| (($) "\\spad{min} is the minimum value of \\%."))) 
 NIL 
 NIL 
-(-857 -4111 S) 
+(-857 -2834 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 
@@ -3392,11 +3392,11 @@ NIL
 ((|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)))) 
-(-866 R |sigma| -2084) 
+(-866 R |sigma| -3595) 
 ((|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."))) 
 ((-4455 . T) (-4456 . T) (-4458 . T)) 
 ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-374)))) 
-(-867 |x| R |sigma| -2084) 
+(-867 |x| R |sigma| -3595) 
 ((|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}."))) 
 ((-4455 . T) (-4456 . T) (-4458 . T)) 
 ((|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-374)))) 
@@ -3463,15 +3463,15 @@ NIL
 (-883 |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)."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| (-882 |#1|) (QUOTE (-925))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -1056) (QUOTE (-1195)))) (|HasCategory| (-882 |#1|) (QUOTE (-146))) (|HasCategory| (-882 |#1|) (QUOTE (-148))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-882 |#1|) (QUOTE (-1040))) (|HasCategory| (-882 |#1|) (QUOTE (-832))) (-2838 (|HasCategory| (-882 |#1|) (QUOTE (-832))) (|HasCategory| (-882 |#1|) (QUOTE (-862)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| (-882 |#1|) (QUOTE (-1170))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-882 |#1|) (QUOTE (-239))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -526) (QUOTE (-1195)) (LIST (QUOTE -882) (|devaluate| |#1|)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -319) (LIST (QUOTE -882) (|devaluate| |#1|)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -296) (LIST (QUOTE -882) (|devaluate| |#1|)) (LIST (QUOTE -882) (|devaluate| |#1|)))) (|HasCategory| (-882 |#1|) (QUOTE (-317))) (|HasCategory| (-882 |#1|) (QUOTE (-557))) (|HasCategory| (-882 |#1|) (QUOTE (-862))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-882 |#1|) (QUOTE (-925)))) (-2838 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-882 |#1|) (QUOTE (-925)))) (|HasCategory| (-882 |#1|) (QUOTE (-146))))) 
+((|HasCategory| (-882 |#1|) (QUOTE (-925))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -1056) (QUOTE (-1195)))) (|HasCategory| (-882 |#1|) (QUOTE (-146))) (|HasCategory| (-882 |#1|) (QUOTE (-148))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-882 |#1|) (QUOTE (-1040))) (|HasCategory| (-882 |#1|) (QUOTE (-832))) (-3766 (|HasCategory| (-882 |#1|) (QUOTE (-832))) (|HasCategory| (-882 |#1|) (QUOTE (-862)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| (-882 |#1|) (QUOTE (-1170))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-882 |#1|) (QUOTE (-239))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -526) (QUOTE (-1195)) (LIST (QUOTE -882) (|devaluate| |#1|)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -319) (LIST (QUOTE -882) (|devaluate| |#1|)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -296) (LIST (QUOTE -882) (|devaluate| |#1|)) (LIST (QUOTE -882) (|devaluate| |#1|)))) (|HasCategory| (-882 |#1|) (QUOTE (-317))) (|HasCategory| (-882 |#1|) (QUOTE (-557))) (|HasCategory| (-882 |#1|) (QUOTE (-862))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-882 |#1|) (QUOTE (-925)))) (-3766 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-882 |#1|) (QUOTE (-925)))) (|HasCategory| (-882 |#1|) (QUOTE (-146))))) 
 (-884 |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)}."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| |#2| (QUOTE (-925))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-1195)))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-1040))) (|HasCategory| |#2| (QUOTE (-832))) (-2838 (|HasCategory| |#2| (QUOTE (-832))) (|HasCategory| |#2| (QUOTE (-862)))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-1170))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#2| (LIST (QUOTE -526) (QUOTE (-1195)) (|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))) (|HasCategory| |#2| (QUOTE (-862))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-925)))) (-2838 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-925)))) (|HasCategory| |#2| (QUOTE (-146))))) 
+((|HasCategory| |#2| (QUOTE (-925))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-1195)))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-1040))) (|HasCategory| |#2| (QUOTE (-832))) (-3766 (|HasCategory| |#2| (QUOTE (-832))) (|HasCategory| |#2| (QUOTE (-862)))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-1170))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#2| (LIST (QUOTE -526) (QUOTE (-1195)) (|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))) (|HasCategory| |#2| (QUOTE (-862))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-925)))) (-3766 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-925)))) (|HasCategory| |#2| (QUOTE (-146))))) 
 (-885 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 (-1118))) (|HasCategory| |#2| (QUOTE (-1118)))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#2| (QUOTE (-1118)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#2| (QUOTE (-1118)))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#2| (QUOTE (-1118)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))))) 
 (-886) 
 ((|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 
@@ -3531,7 +3531,7 @@ NIL
 (-900 |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 (-2085 (|HasCategory| |#2| (QUOTE (-1067)))) (-2085 (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-1195)))))) (-12 (|HasCategory| |#2| (QUOTE (-1067))) (-2085 (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-1195)))))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-1195))))) 
+((-12 (-3216 (|HasCategory| |#2| (QUOTE (-1067)))) (-3216 (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-1195)))))) (-12 (|HasCategory| |#2| (QUOTE (-1067))) (-3216 (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-1195)))))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-1195))))) 
 (-901 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 
@@ -3540,7 +3540,7 @@ 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 
-(-903 R -3590) 
+(-903 R -3431) 
 ((|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 
@@ -3572,7 +3572,7 @@ 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 
-(-911 UP -1398) 
+(-911 UP -3030) 
 ((|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 
@@ -3599,7 +3599,7 @@ NIL
 (-917 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 (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-918 |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 
@@ -3615,7 +3615,7 @@ NIL
 (-921 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."))) 
 ((-4458 . T)) 
-((-2838 (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-862)))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-862)))) 
+((-3766 (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-862)))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-862)))) 
 (-922 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 
@@ -3636,7 +3636,7 @@ NIL
 ((|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."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
 ((|HasCategory| $ (QUOTE (-148))) (|HasCategory| $ (QUOTE (-146))) (|HasCategory| $ (QUOTE (-379)))) 
-(-927 R0 -1398 UP UPUP R) 
+(-927 R0 -3030 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 
@@ -3664,7 +3664,7 @@ 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 
-(-934 -1398) 
+(-934 -3030) 
 ((|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 
@@ -3680,11 +3680,11 @@ NIL
 ((|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}."))) 
 (((-4463 "*") . T)) 
 NIL 
-(-938 -1398 P) 
+(-938 -3030 P) 
 ((|constructor| (NIL "This package exports interpolation algorithms")) (|LagrangeInterpolation| ((|#2| (|List| |#1|) (|List| |#1|)) "\\spad{LagrangeInterpolation(l1,l2)} \\undocumented"))) 
 NIL 
 NIL 
-(-939 |xx| -1398) 
+(-939 |xx| -3030) 
 ((|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 
@@ -3708,7 +3708,7 @@ NIL
 ((|constructor| (NIL "This package exports plotting tools")) (|calcRanges| (((|List| (|Segment| (|DoubleFloat|))) (|List| (|List| (|Point| (|DoubleFloat|))))) "\\spad{calcRanges(l)} \\undocumented"))) 
 NIL 
 NIL 
-(-945 R -1398) 
+(-945 R -3030) 
 ((|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 
@@ -3720,7 +3720,7 @@ 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 
-(-948 S R -1398) 
+(-948 S R -3030) 
 ((|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 
@@ -3740,11 +3740,11 @@ 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 -899) (|devaluate| |#1|)))) 
-(-953 R -1398 -3590) 
+(-953 R -3030 -3431) 
 ((|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 
-(-954 -3590) 
+(-954 -3431) 
 ((|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 
@@ -3767,7 +3767,7 @@ NIL
 (-959 R) 
 ((|constructor| (NIL "This domain implements points in coordinate space"))) 
 ((-4462 . T) (-4461 . T)) 
-((-2838 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2838 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1067))) (-12 (|HasCategory| |#1| (QUOTE (-1020))) (|HasCategory| |#1| (QUOTE (-1067)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-3766 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3766 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1067))) (-12 (|HasCategory| |#1| (QUOTE (-1020))) (|HasCategory| |#1| (QUOTE (-1067)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
 (-960 |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 
@@ -3792,7 +3792,7 @@ NIL
 ((|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}."))) 
 (((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4459 |has| |#1| (-6 -4459)) (-4456 . T) (-4455 . T) (-4458 . T)) 
 NIL 
-(-966 E V R P -1398) 
+(-966 E V R P -3030) 
 ((|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 
@@ -3803,8 +3803,8 @@ NIL
 (-968 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}."))) 
 (((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4459 |has| |#1| (-6 -4459)) (-4456 . T) (-4455 . T) (-4458 . T)) 
-((|HasCategory| |#1| (QUOTE (-925))) (-2838 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-925)))) (-2838 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-925)))) (-2838 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2838 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1195) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| (-1195) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| (-1195) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-1195) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-1195) (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 -1056) (QUOTE (-576)))) (-2838 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4459)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-925)))) (-2838 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-146))))) 
-(-969 E V R P -1398) 
+((|HasCategory| |#1| (QUOTE (-925))) (-3766 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-925)))) (-3766 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-925)))) (-3766 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3766 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1195) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| (-1195) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| (-1195) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-1195) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-1195) (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 -1056) (QUOTE (-576)))) (-3766 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4459)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-925)))) (-3766 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-925)))) (|HasCategory| |#1| (QUOTE (-146))))) 
+(-969 E V R P -3030) 
 ((|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)))) 
@@ -3827,12 +3827,12 @@ NIL
 (-974 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"))) 
 ((-4462 . T) (-4461 . T)) 
-((-2838 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2838 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-3766 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3766 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
 (-975) 
 ((|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 
-(-976 -1398) 
+(-976 -3030) 
 ((|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 
@@ -3847,11 +3847,11 @@ NIL
 (-979 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}"))) 
 (((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4459 |has| |#1| (-6 -4459)) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2838 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2838 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-132)))) (|HasAttribute| |#1| (QUOTE -4459))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-3766 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-3766 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-132)))) (|HasAttribute| |#1| (QUOTE -4459))) 
 (-980 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"))) 
 ((-4458 -12 (|has| |#2| (-485)) (|has| |#1| (-485)))) 
-((-2838 (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805)))) (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-862))))) (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805)))) (-2838 (-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)))) (-2838 (-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)))) (-2838 (-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)))) (-2838 (-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 (-862))) (|HasCategory| |#2| (QUOTE (-862))))) 
+((-3766 (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805)))) (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-862))))) (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805)))) (-3766 (-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)))) (-3766 (-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)))) (-3766 (-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)))) (-3766 (-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 (-862))) (|HasCategory| |#2| (QUOTE (-862))))) 
 (-981) 
 ((|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 
@@ -3940,7 +3940,7 @@ 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 
-(-1003 K R UP -1398) 
+(-1003 K R UP -3030) 
 ((|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 
@@ -3999,11 +3999,11 @@ NIL
 (-1017 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.}"))) 
 ((-4454 |has| |#1| (-300)) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-374))) (-2838 (|HasCategory| |#1| (QUOTE (-300))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-300))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1195)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (-2838 (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#1| (QUOTE (-239)))) (-2838 (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-1078))) (|HasCategory| |#1| (QUOTE (-557)))) 
+((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-374))) (-3766 (|HasCategory| |#1| (QUOTE (-300))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-300))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1195)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (-3766 (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#1| (QUOTE (-239)))) (-3766 (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-1078))) (|HasCategory| |#1| (QUOTE (-557)))) 
 (-1018 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}."))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-1019 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| (($ $) "\\spad{sqrt(x)} returns the square root of \\spad{x}."))) 
 NIL 
@@ -4012,14 +4012,14 @@ NIL
 ((|constructor| (NIL "The \\spad{RadicalCategory} is a model for the rational numbers.")) (** (($ $ (|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 
-(-1021 -1398 UP UPUP |radicnd| |n|) 
+(-1021 -3030 UP UPUP |radicnd| |n|) 
 ((|constructor| (NIL "Function field defined by y**n = \\spad{f}(\\spad{x})."))) 
 ((-4454 |has| (-419 |#2|) (-374)) (-4459 |has| (-419 |#2|) (-374)) (-4453 |has| (-419 |#2|) (-374)) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| (-419 |#2|) (QUOTE (-146))) (|HasCategory| (-419 |#2|) (QUOTE (-148))) (|HasCategory| (-419 |#2|) (QUOTE (-360))) (-2838 (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-379))) (-2838 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-239))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2838 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-360))))) (-2838 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-239))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -651) (QUOTE (-576)))) (-2838 (|HasCategory| (-419 |#2|) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-239))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) 
+((|HasCategory| (-419 |#2|) (QUOTE (-146))) (|HasCategory| (-419 |#2|) (QUOTE (-148))) (|HasCategory| (-419 |#2|) (QUOTE (-360))) (-3766 (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-379))) (-3766 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-239))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-3766 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-360))))) (-3766 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-239))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -651) (QUOTE (-576)))) (-3766 (|HasCategory| (-419 |#2|) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-239))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) 
 (-1022 |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."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| (-576) (QUOTE (-925))) (|HasCategory| (-576) (LIST (QUOTE -1056) (QUOTE (-1195)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1040))) (|HasCategory| (-576) (QUOTE (-832))) (-2838 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-862)))) (|HasCategory| (-576) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1170))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-239))) (|HasCategory| (-576) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1195)) (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) (QUOTE (-862))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-925)))) (-2838 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-925)))) (|HasCategory| (-576) (QUOTE (-146))))) 
+((|HasCategory| (-576) (QUOTE (-925))) (|HasCategory| (-576) (LIST (QUOTE -1056) (QUOTE (-1195)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1040))) (|HasCategory| (-576) (QUOTE (-832))) (-3766 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-862)))) (|HasCategory| (-576) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1170))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-239))) (|HasCategory| (-576) (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1195)) (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) (QUOTE (-862))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-925)))) (-3766 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-925)))) (|HasCategory| (-576) (QUOTE (-146))))) 
 (-1023) 
 ((|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 
@@ -4052,19 +4052,19 @@ NIL
 ((|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}}"))) 
 ((-4454 . T) (-4459 . T) (-4453 . T) (-4456 . T) (-4455 . T) ((-4463 "*") . T) (-4458 . T)) 
 NIL 
-(-1031 R -1398) 
+(-1031 R -3030) 
 ((|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 
-(-1032 R -1398) 
+(-1032 R -3030) 
 ((|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 
-(-1033 -1398 UP) 
+(-1033 -3030 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 
-(-1034 -1398 UP) 
+(-1034 -3030 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 
@@ -4099,8 +4099,8 @@ NIL
 (-1042 |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"))) 
 ((-4454 . T) (-4459 . T) (-4453 . T) (-4456 . T) (-4455 . T) ((-4463 "*") . T) (-4458 . T)) 
-((-2838 (|HasCategory| (-419 (-576)) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| (-419 (-576)) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 (-576)) (LIST (QUOTE -1056) (QUOTE (-576))))) 
-(-1043 -1398 L) 
+((-3766 (|HasCategory| (-419 (-576)) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| (-419 (-576)) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 (-576)) (LIST (QUOTE -1056) (QUOTE (-576))))) 
+(-1043 -3030 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 
@@ -4136,14 +4136,14 @@ 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 
-(-1052 -1398 |Expon| |VarSet| |FPol| |LFPol|) 
+(-1052 -3030 |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"))) 
 (((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
 NIL 
 (-1053) 
 ((|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.}"))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3672) (QUOTE (-1195))) (LIST (QUOTE |:|) (QUOTE -1918) (QUOTE (-52))))))) (-2838 (|HasCategory| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (QUOTE (-1118))) (|HasCategory| (-52) (QUOTE (-1118)))) (-2838 (|HasCategory| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (QUOTE (-1118))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1118))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (QUOTE (-1118))) (|HasCategory| (-1195) (QUOTE (-862))) (|HasCategory| (-52) (QUOTE (-1118))) (-2838 (|HasCategory| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4169) (QUOTE (-1195))) (LIST (QUOTE |:|) (QUOTE -3180) (QUOTE (-52))))))) (-3766 (|HasCategory| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (QUOTE (-1118))) (|HasCategory| (-52) (QUOTE (-1118)))) (-3766 (|HasCategory| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (QUOTE (-1118))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1118))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (QUOTE (-1118))) (|HasCategory| (-1195) (QUOTE (-862))) (|HasCategory| (-52) (QUOTE (-1118))) (-3766 (|HasCategory| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-1054) 
 ((|constructor| (NIL "This domain represents `return' expressions.")) (|expression| (((|SpadAst|) $) "\\spad{expression(e)} returns the expression returned by `e'."))) 
 NIL 
@@ -4200,7 +4200,7 @@ NIL
 ((|constructor| (NIL "The category of rings with unity,{} always associative,{} but not necessarily commutative.")) (|unitsKnown| ((|attribute|) "recip truly yields reciprocal or \"failed\" if not a unit. Note: \\spad{recip(0) = \"failed\"}.")) (|characteristic| (((|NonNegativeInteger|)) "\\spad{characteristic()} returns the characteristic of the ring this is the smallest positive integer \\spad{n} such that \\spad{n*x=0} for all \\spad{x} in the ring,{} or zero if no such \\spad{n} exists."))) 
 ((-4458 . T)) 
 NIL 
-(-1068 |xx| -1398) 
+(-1068 |xx| -3030) 
 ((|constructor| (NIL "This package exports rational interpolation algorithms"))) 
 NIL 
 NIL 
@@ -4219,7 +4219,7 @@ NIL
 (-1072 |m| |n| R) 
 ((|constructor| (NIL "\\spadtype{RectangularMatrix} is a matrix domain where the number of rows and the number of columns are parameters of the domain.")) (|rectangularMatrix| (($ (|Matrix| |#3|)) "\\spad{rectangularMatrix(m)} converts a matrix of type \\spadtype{Matrix} to a matrix of type \\spad{RectangularMatrix}."))) 
 ((-4461 . T) (-4456 . T) (-4455 . T)) 
-((|HasCategory| |#3| (QUOTE (-174))) (-2838 (-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 (-1118))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|))))) (|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-548)))) (-2838 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-374)))) (|HasCategory| |#3| (QUOTE (-374))) (|HasCategory| |#3| (QUOTE (-1118))) (|HasCategory| |#3| (QUOTE (-317))) (|HasCategory| |#3| (QUOTE (-568))) (-12 (|HasCategory| |#3| (QUOTE (-1118))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (|HasCategory| |#3| (LIST (QUOTE -625) (QUOTE (-874))))) 
+((|HasCategory| |#3| (QUOTE (-174))) (-3766 (-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 (-1118))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|))))) (|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-548)))) (-3766 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-374)))) (|HasCategory| |#3| (QUOTE (-374))) (|HasCategory| |#3| (QUOTE (-1118))) (|HasCategory| |#3| (QUOTE (-317))) (|HasCategory| |#3| (QUOTE (-568))) (-12 (|HasCategory| |#3| (QUOTE (-1118))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (|HasCategory| |#3| (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-1073 |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 
@@ -4255,7 +4255,7 @@ NIL
 (-1081) 
 ((|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}"))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3672) (QUOTE (-1195))) (LIST (QUOTE |:|) (QUOTE -1918) (QUOTE (-52))))))) (-2838 (|HasCategory| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (QUOTE (-1118))) (|HasCategory| (-52) (QUOTE (-1118)))) (-2838 (|HasCategory| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (QUOTE (-1118))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1118))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (QUOTE (-1118))) (|HasCategory| (-1195) (QUOTE (-862))) (|HasCategory| (-52) (QUOTE (-1118))) (-2838 (|HasCategory| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4169) (QUOTE (-1195))) (LIST (QUOTE |:|) (QUOTE -3180) (QUOTE (-52))))))) (-3766 (|HasCategory| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (QUOTE (-1118))) (|HasCategory| (-52) (QUOTE (-1118)))) (-3766 (|HasCategory| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (QUOTE (-1118))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1118))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (QUOTE (-1118))) (|HasCategory| (-1195) (QUOTE (-862))) (|HasCategory| (-52) (QUOTE (-1118))) (-3766 (|HasCategory| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-1082 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 
@@ -4304,11 +4304,11 @@ NIL
 ((|constructor| (NIL "This domain implements named rules")) (|name| (((|Symbol|) $) "\\spad{name(x)} returns the symbol"))) 
 NIL 
 NIL 
-(-1094 |Base| R -1398) 
+(-1094 |Base| R -3030) 
 ((|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 
-(-1095 |Base| R -1398) 
+(-1095 |Base| R -3030) 
 ((|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 
@@ -4323,7 +4323,7 @@ NIL
 (-1098 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."))) 
 ((-4454 |has| |#1| (-374)) (-4459 |has| |#1| (-374)) (-4453 |has| |#1| (-374)) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-360))) (-2838 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195))))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195))))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-2838 (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195))))) (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-374))))) 
+((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-360))) (-3766 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195))))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195))))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-3766 (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195))))) (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-374))))) 
 (-1099 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 
@@ -4351,7 +4351,7 @@ NIL
 (-1105 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"))) 
 (((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4459 |has| |#1| (-6 -4459)) (-4456 . T) (-4455 . T) (-4458 . T)) 
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 ((|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 
@@ -4411,7 +4411,7 @@ NIL
 (-1120 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)}}"))) 
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 (-1121 |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 EQ(\\spad{s},{}\\spad{t}) is \\spad{true} in Lisp."))) 
 NIL 
@@ -4455,7 +4455,7 @@ NIL
 (-1131 |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}."))) 
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 (-1132 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 
@@ -4464,7 +4464,7 @@ 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 
-(-1134 R -1398) 
+(-1134 R -3030) 
 ((|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 
@@ -4503,16 +4503,16 @@ NIL
 (-1143 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."))) 
 (((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4459 |has| |#1| (-6 -4459)) (-4456 . T) (-4455 . T) (-4458 . T)) 
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 (-1144 |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}."))) 
 (((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4456 . T) (-4455 . T) (-4458 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-2838 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374)))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-3766 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374)))) 
 (-1145 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}"))) 
 ((-4462 . T) (-4461 . T)) 
 NIL 
-(-1146 UP -1398) 
+(-1146 UP -3030) 
 ((|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 
@@ -4567,11 +4567,11 @@ NIL
 (-1159 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") $) "\\axiom{extractSplittingLeaf(a)} returns the left most leaf (as a tree) whose status is \\spad{false} if any,{} else \"failed\" is returned."))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| (-1158 |#1| |#2|) (LIST (QUOTE -319) (LIST (QUOTE -1158) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1158 |#1| |#2|) (QUOTE (-1118)))) (|HasCategory| (-1158 |#1| |#2|) (QUOTE (-1118))) (-2838 (|HasCategory| (-1158 |#1| |#2|) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-1158 |#1| |#2|) (LIST (QUOTE -319) (LIST (QUOTE -1158) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1158 |#1| |#2|) (QUOTE (-1118))))) (|HasCategory| (-1158 |#1| |#2|) (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| (-1158 |#1| |#2|) (LIST (QUOTE -319) (LIST (QUOTE -1158) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1158 |#1| |#2|) (QUOTE (-1118)))) (|HasCategory| (-1158 |#1| |#2|) (QUOTE (-1118))) (-3766 (|HasCategory| (-1158 |#1| |#2|) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-1158 |#1| |#2|) (LIST (QUOTE -319) (LIST (QUOTE -1158) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1158 |#1| |#2|) (QUOTE (-1118))))) (|HasCategory| (-1158 |#1| |#2|) (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-1160 |ndim| R) 
 ((|constructor| (NIL "\\spadtype{SquareMatrix} is a matrix domain of square matrices,{} where the number of rows (= number of columns) is a parameter of the type.")) (|unitsKnown| ((|attribute|) "the invertible matrices are simply the matrices whose determinants are units in the Ring \\spad{R}.")) (|central| ((|attribute|) "the elements of the Ring \\spad{R},{} viewed as diagonal matrices,{} commute with all matrices and,{} indeed,{} are the only matrices which commute with all matrices.")) (|squareMatrix| (($ (|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}."))) 
 ((-4458 . T) (-4450 |has| |#2| (-6 (-4463 "*"))) (-4461 . T) (-4455 . T) (-4456 . T)) 
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+((|HasCategory| |#2| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasAttribute| |#2| (QUOTE (-4463 "*"))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-576)))) (-3766 (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|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 -914) (QUOTE (-1195)))))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (QUOTE (-374))) (-3766 (|HasAttribute| |#2| (QUOTE (-4463 "*"))) (|HasCategory| |#2| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasCategory| |#2| (QUOTE (-239)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) 
 (-1161 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|) $ $) "\\spad{prefix?(s,t)} tests if the string \\spad{s} is the initial substring of \\spad{t}. Note: \\axiom{prefix?(\\spad{s},{}\\spad{t}) \\spad{==} reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.\\spad{i} for \\spad{i} in 0..maxIndex \\spad{s}])}.")) (|upperCase!| (($ $) "\\spad{upperCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by upper case characters.")) (|upperCase| (($ $) "\\spad{upperCase(s)} returns the string with all characters in upper case.")) (|lowerCase!| (($ $) "\\spad{lowerCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by lower case.")) (|lowerCase| (($ $) "\\spad{lowerCase(s)} returns the string with all characters in lower case."))) 
 NIL 
@@ -4591,7 +4591,7 @@ NIL
 (-1165 S) 
 ((|constructor| (NIL "Linked List implementation of a Stack")) (|stack| (($ (|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}."))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-1166 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 
@@ -4603,7 +4603,7 @@ NIL
 (-1168 |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."))) 
 ((-4462 . T)) 
-((-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -1918) (|devaluate| |#2|)))))) (-2838 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (|HasCategory| |#2| (QUOTE (-1118)))) (-2838 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-862))) (-2838 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118)))) 
+((-12 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4169) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3180) (|devaluate| |#2|)))))) (-3766 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (|HasCategory| |#2| (QUOTE (-1118)))) (-3766 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-862))) (-3766 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118)))) 
 (-1169) 
 ((|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|) $) "\\spad{iterationVar(i)} returns the name of the iterating variable of the arithmetic progression iterator \\spad{i}."))) 
 NIL 
@@ -4631,7 +4631,7 @@ NIL
 (-1175 S) 
 ((|constructor| (NIL "A stream is an implementation of an infinite sequence using a list of terms that have been computed and a function closure to compute additional terms when needed.")) (|filterUntil| (($ (|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."))) 
 ((-4462 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-1176) 
 ((|constructor| (NIL "A category for string-like objects")) (|string| (($ (|Integer|)) "\\spad{string(i)} returns the decimal representation of \\spad{i} in a string"))) 
 ((-4462 . T) (-4461 . T)) 
@@ -4639,11 +4639,11 @@ NIL
 (-1177) 
 NIL 
 ((-4462 . T) (-4461 . T)) 
-((-2838 (-12 (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1118))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| (-145) (QUOTE (-1118))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-145) (QUOTE (-1118))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) 
+((-3766 (-12 (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1118))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| (-145) (QUOTE (-1118))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-145) (QUOTE (-1118))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) 
 (-1178 |Entry|) 
 ((|constructor| (NIL "This domain provides tables where the keys are strings. A specialized hash function for strings is used."))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3672) (QUOTE (-1177))) (LIST (QUOTE |:|) (QUOTE -1918) (|devaluate| |#1|)))))) (-2838 (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|)) (QUOTE (-1118))) (|HasCategory| |#1| (QUOTE (-1118)))) (-2838 (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|)) (QUOTE (-1118))) (|HasCategory| (-1177) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|)) (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4169) (QUOTE (-1177))) (LIST (QUOTE |:|) (QUOTE -3180) (|devaluate| |#1|)))))) (-3766 (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|)) (QUOTE (-1118))) (|HasCategory| |#1| (QUOTE (-1118)))) (-3766 (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|)) (QUOTE (-1118))) (|HasCategory| (-1177) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|)) (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-1179 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 
@@ -4674,9 +4674,9 @@ NIL
 NIL 
 (-1186 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Sparse Laurent series in one variable \\indented{2}{\\spadtype{SparseUnivariateLaurentSeries} is a domain representing Laurent} \\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{SparseUnivariateLaurentSeries(Integer,x,3)} represents Laurent} \\indented{2}{series in \\spad{(x - 3)} with 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.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Laurent series."))) 
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-(-1187 R -1398) 
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+(-1187 R -3030) 
 ((|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 
@@ -4695,15 +4695,15 @@ NIL
 (-1191 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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 (-1192 |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.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}."))) 
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 (-1193 |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.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),x)} computes the derivative of \\spad{f(x)} with respect to \\spad{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}."))) 
 (((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2838 (|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 -914) (QUOTE (-1195)))) (|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 (-1130))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasSignature| |#1| (LIST (QUOTE -2956) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasCategory| |#1| (QUOTE (-374))) (-2838 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-975))) (|HasCategory| |#1| (QUOTE (-1221))) (|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 -2254) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -4352) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-3766 (|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 -914) (QUOTE (-1195)))) (|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 (-1130))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasSignature| |#1| (LIST (QUOTE -2884) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasCategory| |#1| (QUOTE (-374))) (-3766 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-975))) (|HasCategory| |#1| (QUOTE (-1221))) (|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 -1956) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1607) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|))))))) 
 (-1194) 
 ((|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 
@@ -4719,7 +4719,7 @@ NIL
 (-1197 R) 
 ((|constructor| (NIL "This domain implements symmetric polynomial"))) 
 (((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4459 |has| |#1| (-6 -4459)) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2838 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2838 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| (-989) (QUOTE (-132))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasAttribute| |#1| (QUOTE -4459))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-3766 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-3766 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| (-989) (QUOTE (-132))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasAttribute| |#1| (QUOTE -4459))) 
 (-1198) 
 ((|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 
@@ -4763,7 +4763,7 @@ NIL
 (-1208 |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}"))) 
 ((-4461 . T) (-4462 . T)) 
-((-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -1918) (|devaluate| |#2|)))))) (-2838 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (|HasCategory| |#2| (QUOTE (-1118)))) (-2838 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (QUOTE (-1118))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-1118))) (-2838 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4169) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3180) (|devaluate| |#2|)))))) (-3766 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (|HasCategory| |#2| (QUOTE (-1118)))) (-3766 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1118))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (QUOTE (-1118))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-1118))) (-3766 (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-1209 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 
@@ -4819,7 +4819,7 @@ NIL
 (-1222 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| $)) "\\spad{tree(nd,ls)} creates a tree with value \\spad{nd},{} and children \\spad{ls}."))) 
 ((-4462 . T) (-4461 . T)) 
-((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
+((-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1118))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
 (-1223 S) 
 ((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}."))) 
 NIL 
@@ -4828,7 +4828,7 @@ NIL
 ((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}."))) 
 NIL 
 NIL 
-(-1225 R -1398) 
+(-1225 R -3030) 
 ((|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 
@@ -4836,7 +4836,7 @@ 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 
-(-1227 R -1398) 
+(-1227 R -3030) 
 ((|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 -905) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -899) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -899) (|devaluate| |#1|))))) 
@@ -4851,7 +4851,7 @@ NIL
 (-1230 |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}."))) 
 (((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4456 . T) (-4455 . T) (-4458 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-2838 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374)))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-3766 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374)))) 
 (-1231 |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 
@@ -4864,7 +4864,7 @@ 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 (-1118))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) 
-(-1234 -1398) 
+(-1234 -3030) 
 ((|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 
@@ -4927,11 +4927,11 @@ NIL
 (-1249 |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)}."))) 
 (((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4459 |has| |#1| (-374)) (-4453 |has| |#1| (-374)) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((-2838 (|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 (-1195)) (|devaluate| |#2|)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-832)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-862)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-925)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-1040)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-1170)))) (-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 -1056) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-1195)))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2838 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-2838 (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-146))))) (-2838 (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-148))))) (-2838 (-12 (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-576)) (|devaluate| |#1|))))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -914) (QUOTE (-1195)))))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-239)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-576)) (|devaluate| |#1|))))) (|HasCategory| (-576) (QUOTE (-1130))) (-2838 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-925)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -1056) (QUOTE (-1195))))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-1040)))) (-2838 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-832)))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-832)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-862))))) (-2838 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -626) 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 (-1251 ZP) 
 ((|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 
@@ -4967,7 +4967,7 @@ NIL
 (-1259 |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}"))) 
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 (-1260 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 
@@ -4983,7 +4983,7 @@ NIL
 (-1263 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 -914) (QUOTE (-1195)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1130))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -2956) (LIST (|devaluate| |#2|) (QUOTE (-1195)))))) 
+((|HasCategory| |#2| (LIST (QUOTE -914) (QUOTE (-1195)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1130))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -2884) (LIST (|devaluate| |#2|) (QUOTE (-1195)))))) 
 (-1264 |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."))) 
 (((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4455 . T) (-4456 . T) (-4458 . T)) 
@@ -5011,15 +5011,15 @@ NIL
 (-1270 |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)}."))) 
 (((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4459 |has| |#1| (-374)) (-4453 |has| |#1| (-374)) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2838 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|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 (-1130))) (|HasCategory| |#1| (QUOTE (-374))) (-2838 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2838 (|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 -2956) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2838 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-975))) (|HasCategory| |#1| (QUOTE (-1221))) (|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 -2254) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -4352) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) 
+((|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3766 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|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 (-1130))) (|HasCategory| |#1| (QUOTE (-374))) (-3766 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-3766 (|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 -2884) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-3766 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-975))) (|HasCategory| |#1| (QUOTE (-1221))) (|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 -1956) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1607) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) 
 (-1271 |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.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}."))) 
 (((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4459 |has| |#1| (-374)) (-4453 |has| |#1| (-374)) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2838 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|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 (-1130))) (|HasCategory| |#1| (QUOTE (-374))) (-2838 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2838 (|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 -2956) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2838 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-975))) (|HasCategory| |#1| (QUOTE (-1221))) (|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 -2254) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -4352) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3766 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -914) (QUOTE (-1195)))) (|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 (-1130))) (|HasCategory| |#1| (QUOTE (-374))) (-3766 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-3766 (|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 -2884) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-3766 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-975))) (|HasCategory| |#1| (QUOTE (-1221))) (|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 -1956) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1607) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|))))))) 
 (-1272 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))}."))) 
 (((-4463 "*") |has| (-1271 |#2| |#3| |#4|) (-174)) (-4454 |has| (-1271 |#2| |#3| |#4|) (-568)) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| (-1271 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1271 |#2| |#3| |#4|) (QUOTE (-146))) (|HasCategory| (-1271 |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1271 |#2| |#3| |#4|) (QUOTE (-174))) (-2838 (|HasCategory| (-1271 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1271 |#2| |#3| |#4|) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| (-1271 |#2| |#3| |#4|) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1271 |#2| |#3| |#4|) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| (-1271 |#2| |#3| |#4|) (QUOTE (-374))) (|HasCategory| (-1271 |#2| |#3| |#4|) (QUOTE (-464))) (|HasCategory| (-1271 |#2| |#3| |#4|) (QUOTE (-568)))) 
+((|HasCategory| (-1271 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1271 |#2| |#3| |#4|) (QUOTE (-146))) (|HasCategory| (-1271 |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1271 |#2| |#3| |#4|) (QUOTE (-174))) (-3766 (|HasCategory| (-1271 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1271 |#2| |#3| |#4|) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| (-1271 |#2| |#3| |#4|) (LIST (QUOTE -1056) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1271 |#2| |#3| |#4|) (LIST (QUOTE -1056) (QUOTE (-576)))) (|HasCategory| (-1271 |#2| |#3| |#4|) (QUOTE (-374))) (|HasCategory| (-1271 |#2| |#3| |#4|) (QUOTE (-464))) (|HasCategory| (-1271 |#2| |#3| |#4|) (QUOTE (-568)))) 
 (-1273 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| $) "\\spad{concat(x,u)} returns aggregate consisting of \\spad{x} followed by the elements of \\spad{u}. Note: if \\axiom{\\spad{v} = concat(\\spad{x},{}\\spad{u})} then \\axiom{\\spad{x} = first \\spad{v}} and \\axiom{\\spad{u} = rest \\spad{v}}.") (($ $ $) "\\spad{concat(u,v)} returns an aggregate \\spad{w} consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: \\axiom{\\spad{v} = rest(\\spad{w},{}\\#a)}."))) 
 NIL 
@@ -5035,7 +5035,7 @@ NIL
 (-1276 S |Coef|) 
 ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|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 (-975))) (|HasCategory| |#2| (QUOTE (-1221))) (|HasSignature| |#2| (LIST (QUOTE -4352) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -2254) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1195))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374)))) 
+((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-975))) (|HasCategory| |#2| (QUOTE (-1221))) (|HasSignature| |#2| (LIST (QUOTE -1607) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -1956) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1195))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374)))) 
 (-1277 |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."))) 
 (((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4455 . T) (-4456 . T) (-4458 . T)) 
@@ -5043,12 +5043,12 @@ NIL
 (-1278 |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| (($ $) "\\spad{evenlambert(f(x))} returns \\spad{f(x^2) + f(x^4) + f(x^6) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,f(x^(2*n))) = exp(log(evenlambert(f(x))))}.}")) (|oddlambert| (($ $) "\\spad{oddlambert(f(x))} returns \\spad{f(x) + f(x^3) + f(x^5) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,f(x^(2*n-1)))=exp(log(oddlambert(f(x))))}.}")) (|lambert| (($ $) "\\spad{lambert(f(x))} returns \\spad{f(x) + f(x^2) + f(x^3) + ...}. \\indented{1}{This function is used for computing infinite products.} \\indented{1}{\\spad{f(x)} should have zero constant coefficient.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n = 1..infinity,f(x^n)) = exp(log(lambert(f(x))))}.}")) (|lagrange| (($ $) "\\spad{lagrange(g(x))} produces the Taylor series for \\spad{f(x)} \\indented{1}{where \\spad{f(x)} is implicitly defined as \\spad{f(x) = x*g(f(x))}.}")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),x)} computes the derivative of \\spad{f(x)} with respect to \\spad{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}."))) 
 (((-4463 "*") |has| |#1| (-174)) (-4454 |has| |#1| (-568)) (-4455 . T) (-4456 . T) (-4458 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2838 (|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 -914) (QUOTE (-1195)))) (|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 (-1130))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasSignature| |#1| (LIST (QUOTE -2956) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasCategory| |#1| (QUOTE (-374))) (-2838 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-975))) (|HasCategory| |#1| (QUOTE (-1221))) (|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 -2254) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -4352) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-3766 (|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 -914) (QUOTE (-1195)))) (|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 (-1130))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasSignature| |#1| (LIST (QUOTE -2884) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasCategory| |#1| (QUOTE (-374))) (-3766 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-975))) (|HasCategory| |#1| (QUOTE (-1221))) (|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 -1956) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1607) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|))))))) 
 (-1279 |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 
-(-1280 -1398 UP L UTS) 
+(-1280 -3030 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)))) 
@@ -5075,7 +5075,7 @@ NIL
 (-1286 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."))) 
 ((-4462 . T) (-4461 . T)) 
-((-2838 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2838 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2838 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1067))) (-12 (|HasCategory| |#1| (QUOTE (-1020))) (|HasCategory| |#1| (QUOTE (-1067)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
+((-3766 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3766 (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3766 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1067))) (-12 (|HasCategory| |#1| (QUOTE (-1020))) (|HasCategory| |#1| (QUOTE (-1067)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1118))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) 
 (-1287) 
 ((|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 
@@ -5108,7 +5108,7 @@ NIL
 ((|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 
-(-1295 K R UP -1398) 
+(-1295 K R UP -3030) 
 ((|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 
@@ -5144,11 +5144,11 @@ NIL
 ((|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| $) "\\spad{v * x} returns the product of a variable \\spad{x} by \\spad{x}."))) 
 ((-4454 |has| |#2| (-6 -4454)) (-4456 . T) (-4455 . T) (-4458 . T)) 
 NIL 
-(-1304 S -1398) 
+(-1304 S -3030) 
 ((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|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|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}."))) 
 NIL 
 ((|HasCategory| |#2| (QUOTE (-379))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148)))) 
-(-1305 -1398) 
+(-1305 -3030) 
 ((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|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}."))) 
 ((-4453 . T) (-4459 . T) (-4454 . T) ((-4463 "*") . T) (-4455 . T) (-4456 . T) (-4458 . T)) 
 NIL 
diff --git a/src/share/algebra/category.daase b/src/share/algebra/category.daase
index cb4ded99..7265231c 100644
--- a/src/share/algebra/category.daase
+++ b/src/share/algebra/category.daase
@@ -1,15 +1,15 @@
 
-(198303 . 3485769910)        
-(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) ((#0=(-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) #0#) |has| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-319 (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))))) 
-((((-576)) . T) (($) -2838 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (((-419 (-576))) -2838 (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-1056 (-419 (-576))))) ((|#1|) . T)) 
+(198303 . 3485817779)        
+(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) ((#0=(-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) #0#) |has| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (-319 (-2 (|:| -4169 |#1|) (|:| -3180 |#2|))))) 
+((((-576)) . T) (($) -3766 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (((-419 (-576))) -3766 (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-1056 (-419 (-576))))) ((|#1|) . T)) 
 (((|#2| |#2|) . T)) 
 ((((-576)) . T)) 
-((($ $) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) ((|#2| |#2|) . T) ((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576))))) 
+((($ $) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) ((|#2| |#2|) . T) ((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576))))) 
 ((($) . T)) 
 (((|#1|) . T)) 
 ((($) . T) (((-576)) |has| |#1| (-651 (-576))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#2|) . T)) 
-((($) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) ((|#2|) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) ((|#2|) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) 
 (|has| |#1| (-925)) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
@@ -24,19 +24,19 @@
 ((((-227)) . T) (((-874)) . T)) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 (((|#1|) . T)) 
-(-2838 (|has| |#1| (-21)) (|has| |#1| (-860))) 
-((($ $) . T) ((#0=(-419 (-576)) #0#) -2838 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1| |#1|) . T)) 
-(-2838 (|has| |#1| (-832)) (|has| |#1| (-862))) 
+(-3766 (|has| |#1| (-21)) (|has| |#1| (-860))) 
+((($ $) . T) ((#0=(-419 (-576)) #0#) -3766 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1| |#1|) . T)) 
+(-3766 (|has| |#1| (-832)) (|has| |#1| (-862))) 
 ((((-419 (-576))) |has| |#1| (-1056 (-419 (-576)))) (((-576)) |has| |#1| (-1056 (-576))) ((|#1|) . T)) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-568))) 
 (|has| |#1| (-860)) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 ((((-326 |#1|)) . T) (((-576)) . T) (($) . T)) 
 (((|#1| |#2| |#3|) . T)) 
 ((((-576)) . T) (((-882 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) 
-((($) . T) (((-419 (-576))) -2838 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
+((($) . T) (((-419 (-576))) -3766 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
 ((((-419 (-576))) . T) (((-711)) . T) (($) . T)) 
 ((((-874)) . T)) 
 ((((-1200)) . T)) 
@@ -45,20 +45,20 @@
 ((((-419 (-576))) . T) (((-711)) . T) (($) . T)) 
 ((((-874)) . T)) 
 ((((-874)) |has| (-1112 |#1|) (-1118))) 
-(-2838 (|has| |#1| (-239)) (|has| |#1| (-296 $ $)) (|has| |#1| (-296 |#1| |#1|)) (|has| |#1| (-914 (-1195)))) 
+(-3766 (|has| |#1| (-239)) (|has| |#1| (-296 $ $)) (|has| |#1| (-296 |#1| |#1|)) (|has| |#1| (-914 (-1195)))) 
 ((((-874)) . T) (((-1200)) . T)) 
 (((|#1|) . T) ((|#2|) . T)) 
 ((((-1200)) . T)) 
 (((|#1|) . T) (((-576)) |has| |#1| (-1056 (-576))) (((-419 (-576))) |has| |#1| (-1056 (-419 (-576))))) 
-(-2838 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
-(((|#2| (-494 (-2882 |#1|) (-783))) . T)) 
+(-3766 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+(((|#2| (-494 (-2872 |#1|) (-783))) . T)) 
 ((((-1195)) |has| (-419 |#2|) (-914 (-1195)))) 
 (((|#1| (-543 (-1195))) . T)) 
 (((#0=(-882 |#1|) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) 
 ((((-1177)) . T) (((-974 (-130))) . T) (((-874)) . T)) 
 ((((-874)) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 (|has| |#4| (-379)) 
 (|has| |#3| (-379)) 
 (((|#1|) . T)) 
@@ -73,13 +73,13 @@
 (|has| |#1| (-146)) 
 (|has| |#1| (-148)) 
 (|has| |#1| (-568)) 
-((((-576)) . T) (((-419 (-576))) -2838 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1056 (-419 (-576))))) ((|#2|) . T) (($) -2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) (((-876 |#1|)) . T)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-568))) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-568))) 
-((((-2 (|:| -2596 |#1|) (|:| -2300 |#2|))) . T)) 
+((((-576)) . T) (((-419 (-576))) -3766 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1056 (-419 (-576))))) ((|#2|) . T) (($) -3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) (((-876 |#1|)) . T)) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+((((-2 (|:| -4318 |#1|) (|:| -1359 |#2|))) . T)) 
 ((($) . T)) 
-((((-576)) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576))))) ((|#1|) . T) (($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) (((-1195)) . T)) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
+((((-576)) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576))))) ((|#1|) . T) (($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) (((-1195)) . T)) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
 ((((-1195)) . T)) 
 ((((-576)) . T) (($) . T)) 
@@ -99,12 +99,12 @@
 ((((-874)) . T)) 
 (((|#1| |#2|) . T)) 
 (((|#1|) . T)) 
-(((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576)))) ((|#2| |#2|) . T) (($ $) -2838 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
+(((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576)))) ((|#2| |#2|) . T) (($ $) -3766 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
 (|has| |#1| (-1118)) 
 (((|#1|) . T)) 
 ((((-117 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
-((($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
+((($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#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) (($) . T)) 
@@ -112,14 +112,14 @@
 ((((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T)) 
 (((|#2|) . T) (((-576)) . T) ((|#6|) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -2838 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -3766 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
 ((($) . T)) 
 (((|#2|) . T)) 
 ((($) . T)) 
 (((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) (((-576)) . T) (($) . T)) 
 ((((-576)) . T) (($) . T) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-(((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576)))) ((|#1| |#1|) . T) (($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
+(((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576)))) ((|#1| |#1|) . T) (($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
 ((($ $) . T)) 
 ((($) . T)) 
 ((((-576)) . T) (($) . T) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
@@ -128,30 +128,30 @@
 (|has| |#1| (-379)) 
 (((|#1|) . T)) 
 ((((-874)) . T)) 
-((((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1278 |#1| |#2| |#3|)) |has| |#1| (-374)) (($) . T) ((|#1|) . T)) 
-(((|#1|) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) . T)) 
+((((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1278 |#1| |#2| |#3|)) |has| |#1| (-374)) (($) . T) ((|#1|) . T)) 
+(((|#1|) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) (($) . T)) 
 (((|#1|) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
-(-2838 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
+(-3766 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
 ((((-576)) . T)) 
 ((((-874)) . T)) 
 (((|#1| |#2|) . T)) 
-(-2838 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067))) 
-(-2838 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067))) 
+(-3766 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067))) 
+(-3766 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067))) 
 ((($) |has| |#1| (-239))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 (|has| |#1| (-568)) 
 (((|#1|) . T) (((-576)) . T) (($) . T)) 
 ((((-419 |#2|)) . T) (((-419 (-576))) . T) (($) . T)) 
-(-2838 (|has| |#1| (-21)) (|has| |#1| (-860))) 
+(-3766 (|has| |#1| (-21)) (|has| |#1| (-860))) 
 ((($ $) . T) ((#0=(-419 (-576)) #0#) . T)) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
-(-2838 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
 (|has| |#1| (-1118)) 
-(-2838 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
+(-3766 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
 (|has| |#1| (-1118)) 
-(-2838 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
+(-3766 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
 (|has| |#1| (-860)) 
 (((|#1| |#1|) . T)) 
 ((($) . T) (((-419 (-576))) . T)) 
@@ -166,7 +166,7 @@
 (|has| |#3| (-805)) 
 (|has| |#3| (-805)) 
 (((|#1| |#2|) . T)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-360))) 
 ((((-1200)) . T)) 
 (((|#1| |#2|) . T)) 
 (((|#2| |#2|) -12 (|has| |#1| (-374)) (|has| |#2| (-319 |#2|))) (((-1195) |#2|) -12 (|has| |#1| (-374)) (|has| |#2| (-526 (-1195) |#2|)))) 
@@ -191,29 +191,29 @@
 ((((-1177) |#1|) . T)) 
 ((((-1253 (-576)) $) . T) (((-576) (-130)) . T)) 
 (((|#1|) . T)) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
 (((|#3| (-783)) . T)) 
 (|has| |#1| (-148)) 
 (|has| |#1| (-146)) 
 ((($) . T) (((-419 (-576))) . T)) 
 ((($) . T)) 
 ((($) . T)) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
 ((((-419 (-576))) . T) (($) . T)) 
 ((($) . T)) 
 ((($) . T)) 
 (|has| |#1| (-1118)) 
 ((((-419 (-576))) . T) (((-576)) . T)) 
 ((((-576)) . T) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-1056 (-419 (-576))))) 
-((((-576)) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576))))) ((|#1|) . T) (($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#2|) . T)) 
+((((-576)) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576))))) ((|#1|) . T) (($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#2|) . T)) 
 ((((-1195) |#2|) |has| |#2| (-526 (-1195) |#2|)) ((|#2| |#2|) |has| |#2| (-319 |#2|))) 
 ((((-419 (-576))) . T) (((-576)) . T)) 
-((((-576)) . T) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) (((-1100)) . T) ((|#1|) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576)))))) 
+((((-576)) . T) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) (((-1100)) . T) ((|#1|) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576)))))) 
 (((|#1|) . T) (($) . T)) 
 ((((-576)) . T)) 
 ((((-576)) . T)) 
-((($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) 
+((($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) 
 ((((-576)) . T)) 
 ((((-576)) . T)) 
 ((((-419 (-576))) . T) (($) . T)) 
@@ -235,13 +235,13 @@
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 (((|#1| |#1|) . T)) 
-(((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576)))) ((|#1| |#1|) . T) (($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
-((($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
+(((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576)))) ((|#1| |#1|) . T) (($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
+((($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-(((|#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067))) (($) |has| |#2| (-1067)) (((-576)) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1067)))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+(((|#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067))) (($) |has| |#2| (-1067)) (((-576)) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1067)))) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
@@ -252,10 +252,10 @@
 ((((-171 (-227))) |has| |#1| (-1040)) (((-171 (-390))) |has| |#1| (-1040)) (((-548)) |has| |#1| (-626 (-548))) (((-1191 |#1|)) . T) (((-905 (-576))) |has| |#1| (-626 (-905 (-576)))) (((-905 (-390))) |has| |#1| (-626 (-905 (-390))))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 (((|#1|) . T)) 
-(-2838 (|has| |#1| (-21)) (|has| |#1| (-860))) 
-(-2838 (|has| |#1| (-21)) (|has| |#1| (-860))) 
-((((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#2|) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
-(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+(-3766 (|has| |#1| (-21)) (|has| |#1| (-860))) 
+(-3766 (|has| |#1| (-21)) (|has| |#1| (-860))) 
+((((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#2|) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
+(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
 (|has| |#1| (-374)) 
 ((((-874)) . T)) 
 ((($) . T)) 
@@ -274,14 +274,14 @@
 (((|#1|) . T)) 
 ((((-419 (-576))) |has| |#1| (-1056 (-419 (-576)))) (((-576)) |has| |#1| (-1056 (-576))) ((|#1|) . T)) 
 (((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) 
-(((|#2|) . T) (((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
-(((|#1|) . T) (((-2 (|:| -3672 (-1177)) (|:| -1918 |#1|))) . T)) 
+(((|#2|) . T) (((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
+(((|#1|) . T) (((-2 (|:| -4169 (-1177)) (|:| -3180 |#1|))) . T)) 
 (|has| |#1| (-568)) 
-((((-576)) -2838 (-12 (|has| |#4| (-1056 (-576))) (|has| |#4| (-1118))) (|has| |#4| (-1067))) ((|#4|) |has| |#4| (-1118)) (((-419 (-576))) -12 (|has| |#4| (-1056 (-419 (-576)))) (|has| |#4| (-1118)))) 
-((((-576)) -2838 (-12 (|has| |#3| (-1056 (-576))) (|has| |#3| (-1118))) (|has| |#3| (-1067))) ((|#3|) |has| |#3| (-1118)) (((-419 (-576))) -12 (|has| |#3| (-1056 (-419 (-576)))) (|has| |#3| (-1118)))) 
+((((-576)) -3766 (-12 (|has| |#4| (-1056 (-576))) (|has| |#4| (-1118))) (|has| |#4| (-1067))) ((|#4|) |has| |#4| (-1118)) (((-419 (-576))) -12 (|has| |#4| (-1056 (-419 (-576)))) (|has| |#4| (-1118)))) 
+((((-576)) -3766 (-12 (|has| |#3| (-1056 (-576))) (|has| |#3| (-1118))) (|has| |#3| (-1067))) ((|#3|) |has| |#3| (-1118)) (((-419 (-576))) -12 (|has| |#3| (-1056 (-419 (-576)))) (|has| |#3| (-1118)))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 (|has| |#1| (-568)) 
-(-2838 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
+(-3766 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
 (((|#1|) . T)) 
 (|has| |#1| (-568)) 
 ((((-876 |#1|)) . T)) 
@@ -298,21 +298,21 @@
 ((((-419 |#2|)) . T) (((-419 (-576))) . T) (($) . T)) 
 (-12 (|has| |#1| (-1118)) (|has| |#2| (-1118))) 
 ((($) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T)) 
-((((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1193 |#1| |#2| |#3|)) |has| |#1| (-374)) (($) . T) ((|#1|) . T)) 
-(((|#1|) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) . T)) 
+((((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1193 |#1| |#2| |#3|)) |has| |#1| (-374)) (($) . T) ((|#1|) . T)) 
+(((|#1|) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) (($) . T)) 
-(((|#4| |#4|) -2838 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-1067)))) 
-(((|#3| |#3|) -2838 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1067)))) 
+(((|#4| |#4|) -3766 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-1067)))) 
+(((|#3| |#3|) -3766 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1067)))) 
 (((|#2|) . T)) 
 (((|#1|) . T)) 
 ((((-548)) |has| |#2| (-626 (-548))) (((-905 (-390))) |has| |#2| (-626 (-905 (-390)))) (((-905 (-576))) |has| |#2| (-626 (-905 (-576))))) 
 ((((-874)) . T)) 
 (((|#1| |#2| |#3| |#4|) . T)) 
-((((-2 (|:| -2596 |#1|) (|:| -2300 |#2|))) . T) (((-874)) . T)) 
+((((-2 (|:| -4318 |#1|) (|:| -1359 |#2|))) . T) (((-874)) . T)) 
 ((((-548)) |has| |#1| (-626 (-548))) (((-905 (-390))) |has| |#1| (-626 (-905 (-390)))) (((-905 (-576))) |has| |#1| (-626 (-905 (-576))))) 
-(((|#4|) -2838 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-1067)))) 
-(((|#3|) -2838 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1067)))) 
-((((-2 (|:| -2596 |#1|) (|:| -2300 |#2|))) . T)) 
+(((|#4|) -3766 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-1067)))) 
+(((|#3|) -3766 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1067)))) 
+((((-2 (|:| -4318 |#1|) (|:| -1359 |#2|))) . T)) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 ((((-548)) . T) (((-576)) . T) (((-905 (-576))) . T) (((-390)) . T) (((-227)) . T)) 
@@ -321,14 +321,14 @@
 ((($) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) 
 ((((-419 $) (-419 $)) |has| |#2| (-568)) (($ $) . T) ((|#2| |#2|) . T)) 
 ((($ (-1195)) |has| |#2| (-914 (-1195)))) 
-((((-2 (|:| -3672 (-1177)) (|:| -1918 (-52)))) . T)) 
+((((-2 (|:| -4169 (-1177)) (|:| -3180 (-52)))) . T)) 
 (((|#1|) . T)) 
 (|has| |#2| (-925)) 
 ((((-1177) (-52)) . T)) 
 ((((-576)) |has| #0=(-419 |#2|) (-651 (-576))) ((#0#) . T)) 
 ((((-548)) . T) (((-227)) . T) (((-390)) . T) (((-905 (-390))) . T)) 
 ((((-874)) . T)) 
-(-2838 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067))) 
+(-3766 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067))) 
 (((|#1|) |has| |#1| (-174))) 
 (((|#1| $) |has| |#1| (-296 |#1| |#1|))) 
 ((((-874)) . T)) 
@@ -342,15 +342,15 @@
 (|has| |#1| (-1118)) 
 ((((-926 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#1|) . T)) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
 ((((-874)) . T) (((-1200)) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
 ((((-1200)) . T)) 
-((($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((($) -2838 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (|has| |#1| (-239)) 
-((($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1| (-543 (-830 (-1195)))) . T)) 
 (((|#1| (-989)) . T)) 
 ((((-576)) . T) ((|#2|) . T)) 
@@ -361,7 +361,7 @@
 (((|#1|) . T)) 
 (((|#2| |#2|) . T)) 
 (|has| |#1| (-1170)) 
-((((-2 (|:| -3672 (-1177)) (|:| -1918 |#1|))) . T)) 
+((((-2 (|:| -4169 (-1177)) (|:| -3180 |#1|))) . T)) 
 (|has| (-1272 |#1| |#2| |#3| |#4|) (-146)) 
 (|has| (-1272 |#1| |#2| |#3| |#4|) (-148)) 
 (|has| |#1| (-146)) 
@@ -373,27 +373,27 @@
 (((|#2|) . T)) 
 (((|#1|) . T)) 
 (((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) 
-((((-1143 |#1| (-1195))) . T) (((-576)) . T) (((-830 (-1195))) . T) (($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576))))) (((-1195)) . T)) 
+((((-1143 |#1| (-1195))) . T) (((-576)) . T) (((-830 (-1195))) . T) (($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576))))) (((-1195)) . T)) 
 (|has| |#2| (-379)) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 ((($) . T) ((|#1|) . T)) 
 (((|#2|) |has| |#2| (-1067))) 
 ((((-874)) . T)) 
-(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) ((#0=(-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) #0#) |has| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-319 (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))))) 
+(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) ((#0=(-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) #0#) |has| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (-319 (-2 (|:| -4169 |#1|) (|:| -3180 |#2|))))) 
 (((|#1|) . T)) 
-((((-1286 (-350 (-2968) (-2968 (QUOTE X)) (-711)))) . T)) 
-(((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118))) ((#0=(-2 (|:| -3672 (-1177)) (|:| -1918 |#1|)) #0#) |has| (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|)) (-319 (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|))))) 
+((((-1286 (-350 (-2895) (-2895 (QUOTE X)) (-711)))) . T)) 
+(((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118))) ((#0=(-2 (|:| -4169 (-1177)) (|:| -3180 |#1|)) #0#) |has| (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|)) (-319 (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|))))) 
 ((((-874)) . T)) 
 ((((-576) |#1|) . T)) 
 ((((-548)) -12 (|has| |#1| (-626 (-548))) (|has| |#2| (-626 (-548)))) (((-905 (-390))) -12 (|has| |#1| (-626 (-905 (-390)))) (|has| |#2| (-626 (-905 (-390))))) (((-905 (-576))) -12 (|has| |#1| (-626 (-905 (-576)))) (|has| |#2| (-626 (-905 (-576)))))) 
 ((($) . T)) 
 ((((-874)) . T)) 
-((($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
+((($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
 ((((-874)) . T)) 
 ((($) . T)) 
 ((($) . T)) 
 ((($) . T)) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 (|has| (-1271 |#2| |#3| |#4|) (-148)) 
@@ -404,17 +404,17 @@
 ((((-874)) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-(-2838 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067))) 
+(-3766 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067))) 
 (((|#1|) . T)) 
 ((((-576) |#1|) . T)) 
 (((|#2|) |has| |#2| (-174))) 
 (((|#1|) |has| |#1| (-174))) 
 (((|#1|) . T)) 
-(-2838 (|has| |#1| (-21)) (|has| |#1| (-860))) 
+(-3766 (|has| |#1| (-21)) (|has| |#1| (-860))) 
 ((((-874)) |has| |#1| (-1118))) 
 ((($) |has| |#1| (-239))) 
-(-2838 (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067)) (|has| |#1| (-1130))) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-3766 (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067)) (|has| |#1| (-1130))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-360))) 
 ((((-926 |#1|)) . T)) 
 ((((-419 |#2|) |#3|) . T)) 
 (|has| |#1| (-15 * (|#1| (-576) |#1|))) 
@@ -425,7 +425,7 @@
 ((((-874)) . T)) 
 ((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-568))) 
 (|has| |#1| (-374)) 
-(-2838 (-12 (|has| (-1278 |#1| |#2| |#3|) (-239)) (|has| |#1| (-374))) (|has| |#1| (-15 * (|#1| (-576) |#1|)))) 
+(-3766 (-12 (|has| (-1278 |#1| |#2| |#3|) (-239)) (|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|))) 
@@ -439,21 +439,21 @@
 ((((-1253 (-576)) $) . T) (((-576) |#1|) . T)) 
 ((((-874)) . T)) 
 (((|#2|) . T)) 
-(-2838 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
+(-3766 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
 ((((-576)) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-568))) 
 ((($) |has| |#1| (-568)) (((-576)) . T)) 
 (|has| |#2| (-805)) 
 (|has| |#2| (-805)) 
-((((-1278 |#1| |#2| |#3|)) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-576)) . T) ((|#1|) |has| |#1| (-174))) 
-((((-1282 |#2|)) . T) (((-1278 |#1| |#2| |#3|)) . T) (((-1250 |#1| |#2| |#3|)) . T) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-576)) . T) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+((((-1278 |#1| |#2| |#3|)) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-576)) . T) ((|#1|) |has| |#1| (-174))) 
+((((-1282 |#2|)) . T) (((-1278 |#1| |#2| |#3|)) . T) (((-1250 |#1| |#2| |#3|)) . T) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-576)) . T) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) (((-576)) . T)) 
 (((|#1|) . T)) 
 ((((-1195)) -12 (|has| |#3| (-914 (-1195))) (|has| |#3| (-1067)))) 
 (((|#1|) . T)) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 (-12 (|has| |#1| (-374)) (|has| |#2| (-832))) 
-(-2838 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) 
-(((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576)))) ((|#1| |#1|) . T) (($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
+(-3766 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) 
+(((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576)))) ((|#1| |#1|) . T) (($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
 ((($ $) |has| |#1| (-568)) ((|#1| |#1|) . T)) 
 ((($ (-1195)) |has| (-419 |#2|) (-914 (-1195)))) 
 (((#0=(-711) (-1191 #0#)) . T)) 
@@ -463,18 +463,18 @@
 ((((-874)) . T) (((-1286 |#3|)) . T)) 
 ((((-593 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) 
 ((($) . T) (((-419 (-576))) . T)) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2838 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -3766 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
 ((($) |has| |#1| (-568)) ((|#1|) . T)) 
 ((((-874)) . T)) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) . T)) 
 ((($) . T)) 
-((($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((#1=(-1278 |#1| |#2| |#3|) #1#) |has| |#1| (-374)) ((|#1| |#1|) . T)) 
-(((|#1| |#1|) . T) (($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1278 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) . T)) 
-(((|#1|) . T) (($) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
+((($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((#1=(-1278 |#1| |#2| |#3|) #1#) |has| |#1| (-374)) ((|#1| |#1|) . T)) 
+(((|#1| |#1|) . T) (($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1278 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) . T)) 
+(((|#1|) . T) (($) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
 (((|#3|) |has| |#3| (-1067))) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
 (|has| (-1112 |#1|) (-1118)) 
 (((|#2| (-831 |#1|)) . T)) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T)) 
@@ -482,20 +482,20 @@
 (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
 (((|#2|) . T) ((|#6|) . T)) 
 (|has| |#1| (-374)) 
 ((((-576)) . T) ((|#2|) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -2838 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -3766 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
 (((|#2|) . T) ((|#6|) . T)) 
-((($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((($) -2838 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1|) . T)) 
-((($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((((-419 $) (-419 $)) |has| |#1| (-568)) (($ $) . T) ((|#1| |#1|) . T)) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((#0=(-1100) |#2|) . T) ((#0# $) . T) (($ $) . T)) 
 ((((-874)) . T)) 
 ((((-926 |#1|)) . T)) 
@@ -504,44 +504,44 @@
 ((((-246 |#1| |#2|) |#2|) . T)) 
 ((((-874)) . T)) 
 (((|#3|) |has| |#3| (-1118)) (((-576)) -12 (|has| |#3| (-1056 (-576))) (|has| |#3| (-1118))) (((-419 (-576))) -12 (|has| |#3| (-1056 (-419 (-576)))) (|has| |#3| (-1118)))) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 (((|#1|) . T)) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
 (((|#1|) |has| |#1| (-174))) 
-((((-2 (|:| -3672 (-1195)) (|:| -1918 (-52)))) . T)) 
+((((-2 (|:| -4169 (-1195)) (|:| -3180 (-52)))) . T)) 
 (|has| |#1| (-374)) 
 ((((-1200)) . T)) 
 (((|#1|) . T)) 
-(-2838 (|has| |#1| (-21)) (|has| |#1| (-860))) 
+(-3766 (|has| |#1| (-21)) (|has| |#1| (-860))) 
 ((($) . T)) 
 ((((-1195) |#1|) |has| |#1| (-526 (-1195) |#1|)) ((|#1| |#1|) |has| |#1| (-319 |#1|))) 
 (|has| |#2| (-832)) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-860)) 
-(-2838 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+(-3766 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 ((((-874)) . T)) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
 (((|#1| |#2|) . T)) 
 ((((-1195)) -12 (|has| |#1| (-374)) (|has| |#1| (-914 (-1195))))) 
 ((((-1177) |#1|) . T)) 
 (((|#1| |#2| |#3| (-543 |#3|)) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 (|has| |#1| (-379)) 
 (|has| |#1| (-379)) 
 (|has| |#1| (-379)) 
 ((((-874)) . T)) 
 ((((-419 (-576))) . T)) 
 (((|#1|) . T)) 
-(-2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
+(-3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
 ((((-419 (-576))) . T)) 
 (|has| |#1| (-379)) 
-(-2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+(-3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
 ((((-576)) . T)) 
 ((((-576)) . T)) 
 (((|#1|) . T) (((-576)) . T)) 
-(-2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
+(-3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
@@ -555,7 +555,7 @@
 (|has| |#2| (-1067)) 
 ((((-1272 |#1| |#2| |#3| |#4|)) . T)) 
 ((((-419 (-576))) . T) (((-576)) . T)) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
 (((|#1| |#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
@@ -564,9 +564,9 @@
 ((($) . T) (((-576)) . T) (((-419 (-576))) . T)) 
 ((((-576)) . T)) 
 ((((-576)) . T)) 
-((($) . T) (((-576)) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) . T)) 
+((($) . T) (((-576)) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) . T)) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) . T)) 
-((((-576)) -2838 (-12 (|has| |#2| (-1056 (-576))) (|has| |#2| (-1118))) (|has| |#2| (-1067))) ((|#2|) |has| |#2| (-1118)) (((-419 (-576))) -12 (|has| |#2| (-1056 (-419 (-576)))) (|has| |#2| (-1118)))) 
+((((-576)) -3766 (-12 (|has| |#2| (-1056 (-576))) (|has| |#2| (-1118))) (|has| |#2| (-1067))) ((|#2|) |has| |#2| (-1118)) (((-419 (-576))) -12 (|has| |#2| (-1056 (-419 (-576)))) (|has| |#2| (-1118)))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-419 (-576))) . T) (($) . T)) 
@@ -585,56 +585,56 @@
 ((((-576) |#3|) . T)) 
 ((((-874)) . T)) 
 ((((-576)) . T) (((-419 (-576))) . T) (($) . T)) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2838 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -3766 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
 ((((-874)) . T)) 
-(-2838 (-12 (|has| |#1| (-239)) (|has| |#1| (-374))) (-12 (|has| |#1| (-374)) (|has| |#1| (-914 (-1195)))) (|has| |#1| (-360))) 
+(-3766 (-12 (|has| |#1| (-239)) (|has| |#1| (-374))) (-12 (|has| |#1| (-374)) (|has| |#1| (-914 (-1195)))) (|has| |#1| (-360))) 
 ((((-576) |#1|) . T)) 
 (((|#1|) . T)) 
 ((($ $) . T) ((#0=(-876 |#1|) $) . T) ((#0# |#2|) . T)) 
 ((($) . T)) 
 ((($ $) . T) ((#0=(-1195) $) . T) ((#0# |#1|) . T)) 
 (((|#2|) |has| |#2| (-174))) 
-((($) -2838 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) ((|#2|) |has| |#2| (-174)) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) 
-(((|#2| |#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067)))) 
+((($) -3766 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) ((|#2|) |has| |#2| (-174)) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) 
+(((|#2| |#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067)))) 
 ((((-145)) . T)) 
 (((|#1|) . T)) 
 (-12 (|has| |#1| (-379)) (|has| |#2| (-379))) 
 ((((-874)) . T)) 
-(((|#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067)))) 
+(((|#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067)))) 
 (((|#1|) . T)) 
 ((((-874)) . T)) 
 (|has| |#1| (-1118)) 
 (|has| $ (-148)) 
 ((((-1200)) . T)) 
-((((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2|) |has| |#1| (-374)) (((-576)) . T) (($) . T) ((|#1|) . T)) 
-(((|#1|) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-576)) . T) (($) . T)) 
+((((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2|) |has| |#1| (-374)) (((-576)) . T) (($) . T) ((|#1|) . T)) 
+(((|#1|) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-576)) . T) (($) . T)) 
 ((((-1253 (-576)) $) . T) (((-576) |#1|) . T)) 
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 (((|#4|) . T)) 
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@@ -647,39 +647,39 @@
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 ((((-576) |#2|) . T)) 
 ((((-874)) . T)) 
 ((($) . T) (((-576)) . T) ((|#2|) . T) (((-419 (-576))) . T)) 
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 ((($ (-1195)) |has| |#1| (-914 (-1195))) (($ (-1100)) . T)) 
 ((($) . T)) 
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@@ -704,8 +704,8 @@
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@@ -716,13 +716,13 @@
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 (((|#1|) . T)) 
 (((|#2|) . T)) 
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 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 (((|#1| |#1|) . T) (($ $) . T)) 
-((($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) 
+((($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 ((((-1200)) . T)) 
 ((((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
@@ -796,26 +796,26 @@
 (((|#1|) . T) (($) . T)) 
 ((((-576)) . T)) 
 (((#0=(-419 (-968 |#1|)) #0#) . T)) 
-(-2838 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
+(-3766 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
 (|has| |#1| (-1118)) 
-(-2838 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
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 (|has| |#1| (-1118)) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-(-2838 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
+(-3766 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
 ((((-874)) . T) (((-1200)) . T)) 
 ((((-1200)) . T)) 
 (((|#1| |#1|) |has| |#1| (-174))) 
 (|has| (-419 |#2|) (-239)) 
-((($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
+((($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 ((((-419 (-968 |#1|))) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T) (((-576)) . T) (($) . T)) 
 (((|#1|) |has| |#1| (-174))) 
 ((((-1195)) |has| |#2| (-914 (-1195)))) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-(-2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+(-3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 ((((-1272 |#1| |#2| |#3| |#4|)) . T)) 
@@ -824,8 +824,8 @@
 (|has| |#3| (-1067)) 
 (|has| |#3| (-805)) 
 (|has| |#3| (-805)) 
-((((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#2|) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
-(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+((((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#2|) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
+(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
 (((|#2|) . T)) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
@@ -842,34 +842,34 @@
 (|has| |#1| (-1118)) 
 (((|#2|) . T)) 
 ((((-548)) |has| |#2| (-626 (-548))) (((-905 (-390))) |has| |#2| (-626 (-905 (-390)))) (((-905 (-576))) |has| |#2| (-626 (-905 (-576))))) 
-(((|#4|) -2838 (|has| |#4| (-174)) (|has| |#4| (-374)))) 
-(((|#3|) -2838 (|has| |#3| (-174)) (|has| |#3| (-374)))) 
+(((|#4|) -3766 (|has| |#4| (-174)) (|has| |#4| (-374)))) 
+(((|#3|) -3766 (|has| |#3| (-174)) (|has| |#3| (-374)))) 
 ((((-874)) . T)) 
 (((|#1|) . T)) 
-(-2838 (|has| |#2| (-464)) (|has| |#2| (-925))) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
-((($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+(-3766 (|has| |#2| (-464)) (|has| |#2| (-925))) 
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+((($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
-(-2838 (|has| |#1| (-464)) (|has| |#1| (-925))) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -2838 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+(-3766 (|has| |#1| (-464)) (|has| |#1| (-925))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -3766 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#2|) . T)) 
 (((|#2|) . T)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-925))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-925))) 
 ((($ $) . T) ((#0=(-1195) $) |has| |#1| (-239)) ((#0# |#1|) |has| |#1| (-239)) ((#1=(-830 (-1195)) |#1|) . T) ((#1# $) . T)) 
-(-2838 (|has| |#1| (-464)) (|has| |#1| (-925))) 
+(-3766 (|has| |#1| (-464)) (|has| |#1| (-925))) 
 ((((-576) |#2|) . T)) 
 ((((-874)) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
-(((|#3|) -2838 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1067))) (($) |has| |#3| (-1067)) (((-576)) -12 (|has| |#3| (-651 (-576))) (|has| |#3| (-1067)))) 
+(((|#3|) -3766 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1067))) (($) |has| |#3| (-1067)) (((-576)) -12 (|has| |#3| (-651 (-576))) (|has| |#3| (-1067)))) 
 ((((-576) |#1|) . T)) 
 (|has| (-419 |#2|) (-148)) 
 (|has| (-419 |#2|) (-146)) 
@@ -882,15 +882,15 @@
 (|has| |#1| (-568)) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 ((((-874)) . T)) 
-((((-2 (|:| -3672 (-1177)) (|:| -1918 |#1|))) . T)) 
+((((-2 (|:| -4169 (-1177)) (|:| -3180 |#1|))) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
-((((-400) (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|))) . T)) 
+((((-400) (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|))) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#2| (-1170)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-568))) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-568))) 
 ((((-874)) . T) (((-1200)) . T)) 
 ((((-874)) . T) (((-1200)) . T)) 
 ((((-1200)) . T)) 
@@ -908,7 +908,7 @@
 ((((-400) (-1177)) . T)) 
 (|has| |#1| (-568)) 
 ((((-1253 (-576)) $) . T) (((-576) |#1|) . T)) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#2|) . T)) 
@@ -926,7 +926,7 @@
 ((((-656 |#1|)) . T)) 
 ((((-874)) . T)) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-(-2838 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
+(-3766 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
 (((|#2|) |has| |#2| (-319 |#2|))) 
 (((#0=(-576) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) 
 (((|#1|) . T)) 
@@ -937,14 +937,14 @@
 ((($) . T) (((-576)) . T) (((-419 (-576))) . T)) 
 (|has| |#2| (-379)) 
 (((#0=(-576) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) 
-(-2838 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
+(-3766 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 ((((-576)) . T) (((-419 (-576))) . T) (($) . T)) 
-((($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) 
+((($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) 
 (((|#1| |#2|) . T)) 
-((((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1|) . T)) 
+((((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1|) . T)) 
 ((((-576)) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1| |#2|) . T)) 
 ((((-874)) . T)) 
@@ -952,8 +952,8 @@
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
-((($) . T) (((-419 (-576))) -2838 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
+((($) . T) (((-419 (-576))) -3766 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) 
 ((((-874)) . T)) 
 ((((-1193 |#1| |#2| |#3|) $) -12 (|has| (-1193 |#1| |#2| |#3|) (-296 (-1193 |#1| |#2| |#3|) (-1193 |#1| |#2| |#3|))) (|has| |#1| (-374))) (($ $) . T) (((-576) |#1|) . T)) 
 ((($ $) . T) (((-419 (-576)) |#1|) . T)) 
@@ -965,14 +965,14 @@
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-576)) . T) (($) . T)) 
-((($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((($) . T) (((-576)) . T) ((|#2|) . T)) 
 ((((-576)) . T) (($) . T) ((|#2|) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) 
 ((((-419 (-576))) . T) (((-576)) . T)) 
 ((((-576) (-145)) . T)) 
 ((((-145)) . T)) 
 (((|#1|) . T)) 
-(-2838 (|has| |#1| (-21)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1067))) 
+(-3766 (|has| |#1| (-21)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1067))) 
 ((((-112)) . T)) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 ((((-112)) . T)) 
@@ -981,23 +981,23 @@
 (((|#1|) . T)) 
 ((((-1200)) . T)) 
 (|has| |#1| (-832)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2|) |has| |#1| (-374)) ((|#1|) . T)) 
-((((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#2|) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
-(((|#1|) . T) (($) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
-(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2|) |has| |#1| (-374)) ((|#1|) . T)) 
+((((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#2|) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
+(((|#1|) . T) (($) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
+(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-568))) 
 (|has| |#1| (-568)) 
 (|has| |#1| (-862)) 
-((($) . T) (((-576)) . T) (((-419 (-576))) -2838 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
+((($) . T) (((-576)) . T) (((-419 (-576))) -3766 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
 ((((-419 (-576))) |has| |#1| (-1056 (-419 (-576)))) ((|#1|) . T) (((-576)) . T)) 
 (|has| |#1| (-925)) 
 (((|#1|) . T)) 
 (|has| |#1| (-1118)) 
 ((((-874)) . T)) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-568))) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
@@ -1025,7 +1025,7 @@
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 (-12 (|has| |#1| (-805)) (|has| |#2| (-805))) 
 (-12 (|has| |#1| (-805)) (|has| |#2| (-805))) 
-(-2838 (-12 (|has| |#1| (-485)) (|has| |#2| (-485))) (-12 (|has| |#1| (-738)) (|has| |#2| (-738)))) 
+(-3766 (-12 (|has| |#1| (-485)) (|has| |#2| (-485))) (-12 (|has| |#1| (-738)) (|has| |#2| (-738)))) 
 (((|#1| |#2|) . T)) 
 (((|#1|) |has| |#1| (-174)) ((|#4|) . T) (((-576)) . T)) 
 (((|#2|) |has| |#2| (-174))) 
@@ -1038,7 +1038,7 @@
 (((|#1|) . T)) 
 ((((-419 (-576))) . T) (($) . T)) 
 (((|#2|) . T) (($) . T) (((-419 (-576))) . T)) 
-((($) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) . T)) 
+((($) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) . T)) 
 (|has| |#1| (-840)) 
 ((((-419 (-576))) |has| |#1| (-1056 (-419 (-576)))) (((-576)) |has| |#1| (-1056 (-576))) ((|#1|) . T)) 
 (|has| |#1| (-1118)) 
@@ -1049,13 +1049,13 @@
 (((|#4|) |has| |#4| (-1118))) 
 (((|#3|) |has| |#3| (-1118))) 
 (|has| |#3| (-379)) 
-((($) |has| |#1| (-568)) ((|#1|) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576))))) (((-576)) . T)) 
-((((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1278 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
+((($) |has| |#1| (-568)) ((|#1|) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576))))) (((-576)) . T)) 
+((((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1278 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 (((|#2|) . T)) 
 (((|#1| |#2|) . T)) 
-(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1| |#1|) |has| |#1| (-174))) 
 (|has| |#2| (-374)) 
@@ -1066,19 +1066,19 @@
 ((($ (-876 |#1|)) . T)) 
 ((($ (-1195)) |has| |#1| (-914 (-1195))) (($ |#3|) . T)) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T)) 
-((($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
+((($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T)) 
 ((($) . T) (((-576)) . T)) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118)))) 
 ((((-145)) . T)) 
 (((|#1|) . T)) 
-(((|#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067))) (($) |has| |#2| (-1067)) (((-576)) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1067)))) 
+(((|#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067))) (($) |has| |#2| (-1067)) (((-576)) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1067)))) 
 ((((-145)) . T)) 
 ((((-145)) . T)) 
 ((((-419 (-576))) . #0=(|has| |#2| (-374))) (($) . #0#) ((|#2|) . T) (((-576)) . T)) 
 (((|#1| |#2| |#3|) . T)) 
-(-2838 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1067))) 
+(-3766 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1067))) 
 (((|#1|) |has| |#1| (-174))) 
 (|has| $ (-148)) 
 (|has| $ (-148)) 
@@ -1088,15 +1088,15 @@
 ((((-874)) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
-(-2838 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-485)) (|has| |#1| (-568)) (|has| |#1| (-1067)) (|has| |#1| (-1130))) 
+(-3766 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-485)) (|has| |#1| (-568)) (|has| |#1| (-1067)) (|has| |#1| (-1130))) 
 ((($ $) |has| |#1| (-296 $ $)) ((|#1| $) |has| |#1| (-296 |#1| |#1|))) 
 (((|#1| (-419 (-576))) . T)) 
 (((|#1|) . T)) 
 ((((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 ((((-1195)) . T)) 
 (|has| |#1| (-568)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-568))) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-568))) 
 (|has| |#1| (-568)) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
@@ -1108,7 +1108,7 @@
 (|has| |#1| (-148)) 
 (|has| |#1| (-146)) 
 (|has| |#1| (-148)) 
-(((|#2| (-246 (-2882 |#1|) (-783)) (-876 |#1|)) . T)) 
+(((|#2| (-246 (-2872 |#1|) (-783)) (-876 |#1|)) . T)) 
 (((|#1| (-543 |#3|) |#3|) . T)) 
 (|has| |#1| (-146)) 
 (((#0=(-419 (-576)) #0#) |has| |#2| (-374)) (($ $) . T)) 
@@ -1121,12 +1121,12 @@
 ((((-874)) . T)) 
 ((((-419 (-576))) |has| |#2| (-374)) (($) . T)) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
-(-2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
-(-2838 (|has| |#1| (-360)) (|has| |#1| (-379))) 
+(-3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
+(-3766 (|has| |#1| (-360)) (|has| |#1| (-379))) 
 ((((-1160 |#2| |#1|)) . T) ((|#1|) . T)) 
 (((|#1| |#2|) . T)) 
 (-12 (|has| |#2| (-239)) (|has| |#2| (-1067))) 
-(((|#2|) . T) (((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+(((|#2|) . T) (((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 (|has| |#3| (-805)) 
 (|has| |#3| (-805)) 
 ((((-874)) . T)) 
@@ -1158,14 +1158,14 @@
 (((|#1|) . T)) 
 (((|#3|) . T) (((-624 $)) . T)) 
 (((|#1| (-419 (-576))) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 (((|#1| |#2|) . T)) 
 (((|#1|) . T) (($) . T)) 
 (((|#1|) . T)) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 ((($ (-1195)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-914 (-1195))))) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
-((((-576)) -2838 (-12 (|has| |#2| (-1056 (-576))) (|has| |#2| (-1118))) (|has| |#2| (-1067))) ((|#2|) |has| |#2| (-1118)) (((-419 (-576))) -12 (|has| |#2| (-1056 (-419 (-576)))) (|has| |#2| (-1118)))) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
+((((-576)) -3766 (-12 (|has| |#2| (-1056 (-576))) (|has| |#2| (-1118))) (|has| |#2| (-1067))) ((|#2|) |has| |#2| (-1118)) (((-419 (-576))) -12 (|has| |#2| (-1056 (-419 (-576)))) (|has| |#2| (-1118)))) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 ((($ $) . T) ((|#2| $) . T)) 
 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
@@ -1173,8 +1173,8 @@
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 (((|#1| |#1|) . T)) 
-(((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) (((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) |has| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-319 (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))))) 
-(((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118))) (((-2 (|:| -3672 (-1177)) (|:| -1918 |#1|))) |has| (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|)) (-319 (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|))))) 
+(((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) (((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) |has| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (-319 (-2 (|:| -4169 |#1|) (|:| -3180 |#2|))))) 
+(((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118))) (((-2 (|:| -4169 (-1177)) (|:| -3180 |#1|))) |has| (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|)) (-319 (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|))))) 
 ((((-874)) . T)) 
 (((|#1|) . T)) 
 (((|#3| |#3|) . T)) 
@@ -1189,10 +1189,10 @@
 ((($) . T) (((-576)) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T)) 
 ((((-576)) . T) (($) . T) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (|has| (-1112 |#1|) (-1118)) 
-(((|#2| |#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067)))) 
-(((|#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)))) 
-((((-576) (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T) ((|#1| |#2|) . T)) 
-(((|#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067)))) 
+(((|#2| |#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067)))) 
+(((|#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)))) 
+((((-576) (-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T) ((|#1| |#2|) . T)) 
+(((|#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067)))) 
 ((((-576)) . T)) 
 ((((-1200)) . T)) 
 ((((-783)) . T)) 
@@ -1210,35 +1210,35 @@
 ((((-117 |#1|)) . T)) 
 (((|#1|) . T)) 
 ((((-419 (-576))) . T) (($) . T)) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-568))) 
 ((($) . T) (((-419 (-576))) . T)) 
 ((((-1200)) . T)) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-568))) 
 ((((-576)) . T)) 
 (|has| |#1| (-146)) 
 (|has| |#1| (-148)) 
-((($ (-1195)) -2838 (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-914 (-1195)))) (-12 (|has| |#1| (-374)) (|has| |#2| (-914 (-1195)))))) 
+((($ (-1195)) -3766 (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-914 (-1195)))) (-12 (|has| |#1| (-374)) (|has| |#2| (-914 (-1195)))))) 
 ((((-576)) . T)) 
 ((($ (-1195)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-914 (-1195))))) 
 ((((-905 (-576))) . T) (((-905 (-390))) . T) (((-548)) . T) (((-1195)) . T)) 
 ((((-874)) . T)) 
-(-2838 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
+(-3766 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
 ((((-874)) . T) (((-1200)) . T)) 
 ((((-1200)) . T)) 
 ((($) . T)) 
 (((|#1|) . T)) 
 ((((-874)) . T)) 
-(-2838 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
+(-3766 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
 (((|#1|) . T) (($) . T)) 
 (((|#2|) |has| |#2| (-174))) 
-((($) -2838 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) ((|#2|) |has| |#2| (-174)) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) ((|#2|) |has| |#2| (-174)) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) 
 ((((-882 |#1|)) . T)) 
-(-2838 (|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| (-862)) (|has| |#2| (-1067)) (|has| |#2| (-1118))) 
+(-3766 (|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| (-862)) (|has| |#2| (-1067)) (|has| |#2| (-1118))) 
 (-12 (|has| |#3| (-239)) (|has| |#3| (-1067))) 
 (|has| |#2| (-1170)) 
-(((#0=(-52)) . T) (((-2 (|:| -3672 (-1195)) (|:| -1918 #0#))) . T)) 
+(((#0=(-52)) . T) (((-2 (|:| -4169 (-1195)) (|:| -3180 #0#))) . T)) 
 (((|#1| |#2|) . T)) 
 (|has| |#3| (-1067)) 
 (((|#1| (-576) (-1100)) . T)) 
@@ -1246,7 +1246,7 @@
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 (((|#1| (-419 (-576)) (-1100)) . T)) 
 ((((-1195)) . T)) 
-((($) -2838 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (((-419 (-576))) -2838 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
+((($) -3766 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (((-419 (-576))) -3766 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
 ((($) |has| (-419 |#2|) (-239))) 
 ((((-576) |#2|) . T)) 
 ((($ (-1195)) |has| |#2| (-914 (-1195)))) 
@@ -1257,41 +1257,41 @@
 ((((-874)) . T)) 
 ((((-1195) |#1|) |has| |#1| (-526 (-1195) |#1|)) ((|#1| |#1|) |has| |#1| (-319 |#1|))) 
 (-12 (|has| |#1| (-379)) (|has| |#2| (-379))) 
-(-2838 (|has| |#1| (-146)) (|has| |#1| (-379))) 
-(-2838 (|has| |#1| (-146)) (|has| |#1| (-379))) 
-(-2838 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-3766 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-3766 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-3766 (|has| |#1| (-146)) (|has| |#1| (-379))) 
 ((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-568))) 
 (((|#1|) . T)) 
-((((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1193 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
-(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+((((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1193 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
+(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
 (|has| |#1| (-360)) 
-((((-576)) -2838 (-12 (|has| |#3| (-1056 (-576))) (|has| |#3| (-1118))) (|has| |#3| (-1067))) ((|#3|) |has| |#3| (-1118)) (((-419 (-576))) -12 (|has| |#3| (-1056 (-419 (-576)))) (|has| |#3| (-1118)))) 
+((((-576)) -3766 (-12 (|has| |#3| (-1056 (-576))) (|has| |#3| (-1118))) (|has| |#3| (-1067))) ((|#3|) |has| |#3| (-1118)) (((-419 (-576))) -12 (|has| |#3| (-1056 (-419 (-576)))) (|has| |#3| (-1118)))) 
 (((|#1|) . T)) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#4|) . T)) 
 (((|#4|) . T) (((-874)) . T)) 
-(((|#3|) . T) ((|#2|) . T) (((-576)) . T) ((|#4|) -2838 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-738)) (|has| |#4| (-1067))) (($) |has| |#4| (-1067))) 
-(((|#2|) . T) (((-576)) . T) ((|#3|) -2838 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)) (|has| |#3| (-1067))) (($) |has| |#3| (-1067))) 
-(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) ((#0=(-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) #0#) |has| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-319 (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))))) 
+(((|#3|) . T) ((|#2|) . T) (((-576)) . T) ((|#4|) -3766 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-738)) (|has| |#4| (-1067))) (($) |has| |#4| (-1067))) 
+(((|#2|) . T) (((-576)) . T) ((|#3|) -3766 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)) (|has| |#3| (-1067))) (($) |has| |#3| (-1067))) 
+(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) ((#0=(-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) #0#) |has| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (-319 (-2 (|:| -4169 |#1|) (|:| -3180 |#2|))))) 
 (|has| |#1| (-568)) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 ((((-874)) . T)) 
 (((|#1| |#2|) . T)) 
-(-2838 (|has| |#2| (-464)) (|has| |#2| (-925))) 
-(-2838 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
-(-2838 (|has| |#1| (-464)) (|has| |#1| (-925))) 
+(-3766 (|has| |#2| (-464)) (|has| |#2| (-925))) 
+(-3766 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
+(-3766 (|has| |#1| (-464)) (|has| |#1| (-925))) 
 ((((-419 (-576))) . T) (((-576)) . T)) 
 ((((-576)) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
 ((($) . T)) 
 ((((-874)) . T)) 
 (((|#1|) . T)) 
 ((((-882 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) 
 ((((-874)) . T)) 
-(((|#3| |#3|) -2838 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1067)))) 
+(((|#3| |#3|) -3766 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1067)))) 
 (|has| |#1| (-1040)) 
 ((((-874)) . T)) 
-(((|#3|) -2838 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1067)))) 
+(((|#3|) -3766 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1067)))) 
 ((((-576) (-112)) . T)) 
 ((((-1200)) . T)) 
 (((|#1|) |has| |#1| (-319 |#1|))) 
@@ -1301,12 +1301,12 @@
 (|has| |#1| (-379)) 
 ((((-1195) $) |has| |#1| (-526 (-1195) $)) (($ $) |has| |#1| (-319 $)) ((|#1| |#1|) |has| |#1| (-319 |#1|)) (((-1195) |#1|) |has| |#1| (-526 (-1195) |#1|))) 
 ((((-1195)) |has| |#1| (-914 (-1195)))) 
-(-2838 (-12 (|has| |#1| (-239)) (|has| |#1| (-374))) (|has| |#1| (-360))) 
+(-3766 (-12 (|has| |#1| (-239)) (|has| |#1| (-374))) (|has| |#1| (-360))) 
 (((|#1| |#4|) . T)) 
 (((|#1| |#3|) . T)) 
 ((($) . T)) 
 ((((-400) |#1|) . T)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-360))) 
 (|has| |#1| (-1118)) 
 (((|#2|) . T) (((-874)) . T)) 
 ((((-874)) . T)) 
@@ -1314,8 +1314,8 @@
 ((((-926 |#1|)) . T)) 
 ((((-874)) . T) (((-1200)) . T)) 
 ((((-1200)) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
 (((|#1| |#2|) . T)) 
 ((($) . T)) 
 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
@@ -1324,7 +1324,7 @@
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
 (((|#1| |#1|) . T)) 
 (((#0=(-882 |#1|)) |has| #0# (-319 #0#))) 
-((((-576)) . T) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-360))) (((-419 (-576))) -2838 (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-1056 (-419 (-576))))) ((|#1|) . T)) 
+((((-576)) . T) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-360))) (((-419 (-576))) -3766 (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-1056 (-419 (-576))))) ((|#1|) . T)) 
 (((|#1| |#2|) . T)) 
 (|has| |#2| (-805)) 
 (|has| |#2| (-805)) 
@@ -1333,7 +1333,7 @@
 (-12 (|has| |#1| (-805)) (|has| |#2| (-805))) 
 (|has| |#2| (-1067)) 
 ((($) . T) (((-576)) . T) ((|#2|) . T)) 
-(((|#2|) . T) (((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+(((|#2|) . T) (((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 (((|#2|) . T) (($) . T)) 
 (|has| |#1| (-1221)) 
 (((#0=(-576) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) 
@@ -1345,8 +1345,8 @@
 (((|#1| |#1|) . T) (($ $) . T) ((#0=(-419 (-576)) #0#) . T)) 
 (|has| |#1| (-374)) 
 ((((-576)) . T) (((-419 (-576))) . T) (($) . T)) 
-((($ $) . T) ((#0=(-419 (-576)) #0#) -2838 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1| |#1|) . T)) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
+((($ $) . T) ((#0=(-419 (-576)) #0#) -3766 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1| |#1|) . T)) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
@@ -1362,30 +1362,30 @@
 (((|#1| |#2|) . T)) 
 (|has| |#1| (-860)) 
 (|has| |#1| (-860)) 
-((($) . T) (((-419 (-576))) -2838 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
+((($) . T) (((-419 (-576))) -3766 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
 ((((-1195)) |has| |#1| (-914 (-1195))) (((-1100)) . T)) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-568))) 
 ((($) . T)) 
-(((#0=(-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) #0#) |has| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (-319 (-2 (|:| -3672 (-1195)) (|:| -1918 (-52)))))) 
+(((#0=(-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) #0#) |has| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (-319 (-2 (|:| -4169 (-1195)) (|:| -3180 (-52)))))) 
 ((($) . T)) 
 ((($) . T)) 
 (((|#2|) |has| |#2| (-1118))) 
-((((-874)) -2838 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-625 (-874))) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-862)) (|has| |#2| (-1067)) (|has| |#2| (-1118))) (((-1286 |#2|)) . T)) 
+((((-874)) -3766 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-625 (-874))) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-862)) (|has| |#2| (-1067)) (|has| |#2| (-1118))) (((-1286 |#2|)) . T)) 
 ((($) . T)) 
 ((((-576)) . T) (($) . T) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((((-1177) (-52)) . T)) 
 (((|#2|) |has| |#2| (-174))) 
-((($) -2838 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) ((|#2|) |has| |#2| (-174)) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) ((|#2|) |has| |#2| (-174)) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) 
 ((((-874)) . T)) 
 (((|#2|) . T)) 
-((($) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) ((|#2|) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) ((|#2|) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) 
 ((((-576)) |has| #0=(-419 |#2|) (-651 (-576))) ((#0#) . T)) 
 ((($) . T) (((-576)) . T)) 
 ((((-576) (-145)) . T)) 
-((((-576) (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T) ((|#1| |#2|) . T)) 
+((((-576) (-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T) ((|#1| |#2|) . T)) 
 ((((-419 (-576))) . T) (($) . T)) 
 (((|#1|) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 ((((-874)) . T)) 
 ((((-926 |#1|)) . T)) 
 (|has| |#1| (-374)) 
@@ -1393,11 +1393,11 @@
 (|has| |#1| (-374)) 
 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) 
 (|has| |#1| (-860)) 
-((($) -2838 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (((-419 (-576))) -2838 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
+((($) -3766 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (((-419 (-576))) -3766 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
 (|has| |#1| (-374)) 
 (((|#1|) . T) (($) . T)) 
 (|has| |#1| (-860)) 
-((($) . T) (((-419 (-576))) -2838 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
+((($) . T) (((-419 (-576))) -3766 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
 ((((-1195)) |has| |#1| (-914 (-1195)))) 
 (|has| |#1| (-860)) 
 ((((-518)) . T)) 
@@ -1414,7 +1414,7 @@
 ((((-874)) . T)) 
 ((($) . T)) 
 (((|#2|) . T) (($) . T)) 
-((((-576) (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T) (((-1253 (-576)) $) . T) ((|#1| |#2|) . T)) 
+((((-576) (-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T) (((-1253 (-576)) $) . T) ((|#1| |#2|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) |has| |#1| (-174))) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
@@ -1425,15 +1425,15 @@
 (((|#1|) |has| |#1| (-174))) 
 (|has| |#2| (-429 |#1|)) 
 (|has| |#2| (-429 |#1|)) 
-((($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-576)) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
-((($) -2838 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-576)) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
+((($) -3766 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-548)) |has| |#1| (-626 (-548))) (((-905 (-390))) |has| |#1| (-626 (-905 (-390)))) (((-905 (-576))) |has| |#1| (-626 (-905 (-576))))) 
 ((((-874)) . T)) 
 ((((-882 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) 
-(((|#2|) . T) (((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+(((|#2|) . T) (((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 ((((-518)) . T)) 
 ((((-518)) . T)) 
 ((((-1195)) -12 (|has| |#4| (-914 (-1195))) (|has| |#4| (-1067)))) 
@@ -1449,7 +1449,7 @@
 ((((-1177) |#1|) . T)) 
 (|has| |#1| (-1170)) 
 ((((-974 |#1|)) . T)) 
-(((#0=(-419 (-576)) #0#) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1| |#1|) . T)) 
+(((#0=(-419 (-576)) #0#) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1| |#1|) . T)) 
 ((((-419 (-576))) |has| |#1| (-1056 (-576))) (((-576)) |has| |#1| (-1056 (-576))) (((-1195)) |has| |#1| (-1056 (-1195))) ((|#1|) . T)) 
 ((($) . T)) 
 ((($) . T)) 
@@ -1457,7 +1457,7 @@
 ((((-419 (-576))) |has| |#1| (-1056 (-419 (-576)))) (((-576)) |has| |#1| (-1056 (-576))) ((|#1|) . T)) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T)) 
 ((((-576)) |has| |#1| (-899 (-576))) (((-390)) |has| |#1| (-899 (-390)))) 
-((((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1|) . T)) 
+((((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T) (($) . T) (((-576)) . T)) 
 ((((-656 |#4|)) . T) (((-874)) . T)) 
@@ -1465,36 +1465,36 @@
 ((((-548)) |has| |#4| (-626 (-548)))) 
 ((((-874)) . T) (((-656 |#4|)) . T)) 
 ((($) |has| |#1| (-860))) 
-((((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1278 |#1| |#2| |#3|)) |has| |#1| (-374)) (((-576)) . T) (($) . T) ((|#1|) . T)) 
-((((-576)) -2838 (-12 (|has| |#2| (-1056 (-576))) (|has| |#2| (-1118))) (|has| |#2| (-1067))) ((|#2|) |has| |#2| (-1118)) (((-419 (-576))) -12 (|has| |#2| (-1056 (-419 (-576)))) (|has| |#2| (-1118)))) 
+((((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1278 |#1| |#2| |#3|)) |has| |#1| (-374)) (((-576)) . T) (($) . T) ((|#1|) . T)) 
+((((-576)) -3766 (-12 (|has| |#2| (-1056 (-576))) (|has| |#2| (-1118))) (|has| |#2| (-1067))) ((|#2|) |has| |#2| (-1118)) (((-419 (-576))) -12 (|has| |#2| (-1056 (-419 (-576)))) (|has| |#2| (-1118)))) 
 (((|#1|) . T)) 
-(((|#1|) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-576)) . T) (($) . T)) 
+(((|#1|) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-576)) . T) (($) . T)) 
 ((((-656 |#4|)) . T) (((-874)) . T)) 
 ((((-548)) |has| |#4| (-626 (-548)))) 
 (((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) (((-576)) . T) (($) . T)) 
 (((|#1|) . T)) 
 ((((-1195)) |has| (-419 |#2|) (-914 (-1195)))) 
 (((|#2|) . T)) 
-(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) ((#0=(-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) #0#) |has| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-319 (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))))) 
+(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) ((#0=(-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) #0#) |has| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (-319 (-2 (|:| -4169 |#1|) (|:| -3180 |#2|))))) 
 ((($) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -2838 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -3766 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
 ((($) |has| |#1| (-239))) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
 ((($) . T)) 
 ((($) . T)) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
 ((($) . T)) 
 ((($) . T)) 
-((((-874)) -2838 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-625 (-874))) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-379)) (|has| |#3| (-738)) (|has| |#3| (-805)) (|has| |#3| (-862)) (|has| |#3| (-1067)) (|has| |#3| (-1118))) (((-1286 |#3|)) . T)) 
+((((-874)) -3766 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-625 (-874))) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-379)) (|has| |#3| (-738)) (|has| |#3| (-805)) (|has| |#3| (-862)) (|has| |#3| (-1067)) (|has| |#3| (-1118))) (((-1286 |#3|)) . T)) 
 (((|#2|) . T)) 
 ((((-576) |#2|) . T)) 
-(-2838 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
-(((|#2| |#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067)))) 
+(-3766 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
+(((|#2| |#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067)))) 
 (((|#2|) . T) (((-576)) . T)) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T) ((|#2|) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T) ((|#2|) . T)) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 ((((-1177) (-1195) (-576) (-227) (-874)) . T)) 
@@ -1530,9 +1530,9 @@
 ((((-419 (-576))) . T) (($) . T)) 
 ((((-874)) . T)) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
 ((($) . T) (((-419 (-576))) . T)) 
-(((|#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067)))) 
+(((|#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067)))) 
 (|has| $ (-148)) 
 ((((-419 |#2|)) . T)) 
 ((((-419 (-576))) |has| #0=(-419 |#2|) (-1056 (-419 (-576)))) (((-576)) |has| #0# (-1056 (-576))) ((#0#) . T)) 
@@ -1542,11 +1542,11 @@
 (|has| |#2| (-148)) 
 (|has| |#1| (-148)) 
 (|has| |#1| (-146)) 
-(-2838 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-3766 (|has| |#1| (-146)) (|has| |#1| (-379))) 
 (|has| |#1| (-148)) 
-(-2838 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-3766 (|has| |#1| (-146)) (|has| |#1| (-379))) 
 (|has| |#1| (-148)) 
-(-2838 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-3766 (|has| |#1| (-146)) (|has| |#1| (-379))) 
 (|has| |#1| (-148)) 
 (((|#1|) . T)) 
 (|has| |#2| (-239)) 
@@ -1561,7 +1561,7 @@
 (((|#1| |#1|) . T)) 
 ((((-1195)) |has| |#2| (-914 (-1195)))) 
 ((((-130)) . T)) 
-(-2838 (|has| (-419 |#2|) (-239)) (|has| (-419 |#2|) (-914 (-1195)))) 
+(-3766 (|has| (-419 |#2|) (-239)) (|has| (-419 |#2|) (-914 (-1195)))) 
 ((((-576) (-112)) . T) (((-1253 (-576)) $) . T)) 
 (|has| |#1| (-568)) 
 (((|#2|) . T)) 
@@ -1585,7 +1585,7 @@
 ((((-1017 |#1|)) . T) ((|#1|) . T)) 
 ((((-1195)) |has| |#1| (-914 (-1195))) (((-830 (-1195))) . T)) 
 ((((-874)) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 ((((-419 (-576))) . T) (((-419 |#1|)) . T) ((|#1|) . T) (($) . T)) 
 (((|#1| (-1191 |#1|)) . T)) 
 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
@@ -1594,8 +1594,8 @@
 (((|#1|) . T) (((-576)) . T) (($) . T)) 
 (((|#2|) . T)) 
 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
-((((-2 (|:| -3672 (-1177)) (|:| -1918 |#1|))) . T)) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
+((((-2 (|:| -4169 (-1177)) (|:| -3180 |#1|))) . T)) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
 ((((-576) |#2|) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) . T)) 
@@ -1606,9 +1606,9 @@
 ((((-874)) . T)) 
 (((|#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1118)))) 
 (((|#3|) -12 (|has| |#3| (-319 |#3|)) (|has| |#3| (-1118)))) 
-(-2838 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (-12 (|has| |#1| (-374)) (|has| |#2| (-239)))) 
+(-3766 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (-12 (|has| |#1| (-374)) (|has| |#2| (-239)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
-(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) ((#0=(-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) #0#) |has| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-319 (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))))) 
+(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) ((#0=(-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) #0#) |has| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (-319 (-2 (|:| -4169 |#1|) (|:| -3180 |#2|))))) 
 (((|#2| |#2|) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#2| (-374)) 
@@ -1618,20 +1618,20 @@
 (|has| |#1| (-1118)) 
 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) 
 (((|#1|) |has| |#1| (-174))) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
-((($) -2838 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
+((($) -3766 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
 ((((-1177) (-52)) . T)) 
 (((|#1|) . T)) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925)))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((($ (-1195)) |has| |#2| (-914 (-1195))) (($ (-1100)) . T)) 
 (((|#2|) |has| |#2| (-174))) 
 (((|#2|) . T)) 
 (((|#1|) . T)) 
-((((-576)) -2838 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067))) ((|#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1067))) (($) |has| |#2| (-1067))) 
+((((-576)) -3766 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067))) ((|#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1067))) (($) |has| |#2| (-1067))) 
 ((((-576) |#3|) . T)) 
 ((((-576) (-145)) . T)) 
 ((((-145)) . T)) 
@@ -1659,23 +1659,23 @@
 (((|#1| |#2|) . T)) 
 (|has| |#2| (-239)) 
 ((((-1253 (-576)) $) . T) (((-576) (-145)) . T)) 
-(((#0=(-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) #0#) |has| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-319 (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)))) ((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118)))) 
-((($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+(((#0=(-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) #0#) |has| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (-319 (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)))) ((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118)))) 
+((($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (|has| |#1| (-862)) 
 (((|#2| (-783) (-1100)) . T)) 
 (((|#1| |#2|) . T)) 
 ((((-1195)) -12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-914 (-1195))))) 
 (|has| |#1| (-803)) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-568))) 
-((((-1195)) -2838 (-12 (|has| (-1278 |#1| |#2| |#3|) (-914 (-1195))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-914 (-1195)))))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-568))) 
+((((-1195)) -3766 (-12 (|has| (-1278 |#1| |#2| |#3|) (-914 (-1195))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-914 (-1195)))))) 
 ((((-1195)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-914 (-1195))))) 
 ((((-1195)) -12 (|has| |#1| (-15 * (|#1| (-783) |#1|))) (|has| |#1| (-914 (-1195))))) 
 (((|#1|) |has| |#1| (-174))) 
 (((|#4|) . T)) 
 (((|#4|) . T)) 
 (((|#1| |#2|) . T)) 
-(-2838 (|has| |#1| (-148)) (-12 (|has| |#1| (-374)) (|has| |#2| (-148)))) 
-(-2838 (|has| |#1| (-146)) (-12 (|has| |#1| (-374)) (|has| |#2| (-146)))) 
+(-3766 (|has| |#1| (-148)) (-12 (|has| |#1| (-374)) (|has| |#2| (-148)))) 
+(-3766 (|has| |#1| (-146)) (-12 (|has| |#1| (-374)) (|has| |#2| (-146)))) 
 (((|#4|) . T)) 
 (|has| |#1| (-146)) 
 ((((-1177) |#1|) . T)) 
@@ -1689,24 +1689,24 @@
 (((|#3|) . T)) 
 ((((-1278 |#1| |#2| |#3|)) |has| |#1| (-374))) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T)) 
-((((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1193 |#1| |#2| |#3|)) |has| |#1| (-374)) (((-576)) . T) (($) . T) ((|#1|) . T)) 
-(((|#1|) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-576)) . T) (($) . T)) 
+((((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1193 |#1| |#2| |#3|)) |has| |#1| (-374)) (((-576)) . T) (($) . T) ((|#1|) . T)) 
+(((|#1|) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-576)) . T) (($) . T)) 
 ((((-874)) . T)) 
-(-2838 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
+(-3766 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
 (((|#1|) . T)) 
 (((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) (((-576)) . T) (($) . T)) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118))) (((-974 |#1|)) . T)) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118))) (((-974 |#1|)) . T)) 
 (|has| |#1| (-860)) 
 (|has| |#1| (-860)) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 ((((-974 |#1|)) . T)) 
-(((|#4|) -2838 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-738)))) 
-(((|#3|) -2838 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)))) 
+(((|#4|) -3766 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-738)))) 
+(((|#3|) -3766 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)))) 
 (|has| |#2| (-374)) 
 (((|#1|) |has| |#1| (-174))) 
-(((|#4|) -2838 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-738)) (|has| |#4| (-1067)))) 
-(((|#3|) -2838 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)) (|has| |#3| (-1067)))) 
+(((|#4|) -3766 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-738)) (|has| |#4| (-1067)))) 
+(((|#3|) -3766 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)) (|has| |#3| (-1067)))) 
 (((|#2|) |has| |#2| (-1067))) 
 ((((-1177) |#1|) . T)) 
 (((|#3| |#3|) -12 (|has| |#3| (-319 |#3|)) (|has| |#3| (-1118)))) 
@@ -1717,8 +1717,8 @@
 ((((-400) (-1177)) . T)) 
 ((($ (-1195)) . T)) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((((-874)) -2838 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-625 (-874))) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-862)) (|has| |#2| (-1067)) (|has| |#2| (-1118))) (((-1286 |#2|)) . T)) 
-(((#0=(-52)) . T) (((-2 (|:| -3672 (-1177)) (|:| -1918 #0#))) . T)) 
+((((-874)) -3766 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-625 (-874))) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-862)) (|has| |#2| (-1067)) (|has| |#2| (-1118))) (((-1286 |#2|)) . T)) 
+(((#0=(-52)) . T) (((-2 (|:| -4169 (-1177)) (|:| -3180 #0#))) . T)) 
 (((|#1|) . T)) 
 ((((-874)) . T)) 
 (((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118)))) 
@@ -1727,7 +1727,7 @@
 ((((-576)) . T)) 
 (|has| |#2| (-148)) 
 (|has| |#1| (-485)) 
-(-2838 (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067))) 
+(-3766 (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067))) 
 (|has| |#1| (-374)) 
 ((((-874)) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
@@ -1738,8 +1738,8 @@
 (|has| |#1| (-860)) 
 ((((-874)) . T)) 
 (((|#2|) . T)) 
-((((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1278 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
-(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+((((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1278 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
+(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#2|) . T) (((-576)) . T) (((-831 |#1|)) . T)) 
 (((|#1| |#2|) . T)) 
@@ -1749,7 +1749,7 @@
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 (|has| |#1| (-1118)) 
-(((|#2| (-494 (-2882 |#1|) (-783)) (-876 |#1|)) . T)) 
+(((|#2| (-494 (-2872 |#1|) (-783)) (-876 |#1|)) . T)) 
 ((((-419 (-576))) . #0=(|has| |#2| (-374))) (($) . #0#)) 
 (((|#1| (-543 (-1195)) (-1195)) . T)) 
 (((|#1|) . T)) 
@@ -1769,17 +1769,17 @@
 (((|#2|) |has| |#2| (-174))) 
 (((|#1|) . T)) 
 (((|#2|) . T)) 
-(((|#1|) . T) (((-2 (|:| -3672 (-1177)) (|:| -1918 |#1|))) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+(((|#1|) . T) (((-2 (|:| -4169 (-1177)) (|:| -3180 |#1|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 (((|#2|) . T)) 
-((((-2 (|:| -3672 (-1195)) (|:| -1918 (-52)))) . T)) 
+((((-2 (|:| -4169 (-1195)) (|:| -3180 (-52)))) . T)) 
 ((((-1193 |#1| |#2| |#3|)) |has| |#1| (-374))) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 ((((-1195) (-52)) . T)) 
 ((((-419 (-576)) |#1|) . T) (($ $) . T)) 
 (((|#1| (-576)) . T)) 
 ((((-926 |#1|)) . T)) 
-(((|#1|) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1067))) (($) -2838 (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067)))) 
+(((|#1|) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1067))) (($) -3766 (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067)))) 
 ((((-1195)) -12 (|has| |#2| (-914 (-1195))) (|has| |#2| (-1067)))) 
 (((|#1|) . T) (((-576)) |has| |#1| (-1056 (-576))) (((-419 (-576))) |has| |#1| (-1056 (-419 (-576))))) 
 (|has| |#1| (-862)) 
@@ -1799,17 +1799,17 @@
 (((|#4| |#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1118)))) 
 (((|#4| |#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1118)))) 
 (((|#1|) |has| |#1| (-174))) 
-(-2838 (|has| |#1| (-239)) (|has| |#1| (-296 |#1| |#1|)) (|has| |#1| (-914 (-1195)))) 
+(-3766 (|has| |#1| (-239)) (|has| |#1| (-296 |#1| |#1|)) (|has| |#1| (-914 (-1195)))) 
 (((|#4| |#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1118)))) 
-(((|#3|) -2838 (|has| |#3| (-174)) (|has| |#3| (-374)))) 
-((($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-(-2838 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-925))) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+(((|#3|) -3766 (|has| |#3| (-174)) (|has| |#3| (-374)))) 
+((($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+(-3766 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-925))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((($ |#2|) . T)) 
 ((($ (-1195)) |has| |#1| (-914 (-1195))) (($ (-1100)) . T)) 
 ((($ $) . T) ((#0=(-419 (-576)) #0#) . T)) 
 ((((-576) |#2|) . T)) 
-(((|#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)))) 
+(((|#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)))) 
 (|has| |#1| (-360)) 
 (((|#3| |#3|) -12 (|has| |#3| (-319 |#3|)) (|has| |#3| (-1118)))) 
 (((|#2|) . T) (((-576)) . T)) 
@@ -1818,7 +1818,7 @@
 (|has| |#1| (-832)) 
 (|has| |#1| (-832)) 
 (((|#1|) . T)) 
-(-2838 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-3766 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) 
 (|has| |#1| (-860)) 
 (|has| |#1| (-860)) 
 (|has| |#1| (-860)) 
@@ -1827,14 +1827,14 @@
 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-360))) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 ((((-1195)) |has| |#1| (-914 (-1195))) (((-1100)) . T)) 
 (((|#1|) . T)) 
 (|has| |#1| (-860)) 
-(((#0=(-2 (|:| -3672 (-1177)) (|:| -1918 (-52))) #0#) |has| (-2 (|:| -3672 (-1177)) (|:| -1918 (-52))) (-319 (-2 (|:| -3672 (-1177)) (|:| -1918 (-52)))))) 
+(((#0=(-2 (|:| -4169 (-1177)) (|:| -3180 (-52))) #0#) |has| (-2 (|:| -4169 (-1177)) (|:| -3180 (-52))) (-319 (-2 (|:| -4169 (-1177)) (|:| -3180 (-52)))))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 (|has| |#1| (-1118)) 
 ((((-874)) . T) (((-1200)) . T)) 
@@ -1858,14 +1858,14 @@
 (((|#1| (-783) (-1100)) . T)) 
 (((|#3|) . T)) 
 ((((-145)) . T)) 
-((((-419 (-576))) |has| |#1| (-1056 (-419 (-576)))) (((-576)) -2838 (|has| |#1| (-860)) (|has| |#1| (-1056 (-576)))) ((|#1|) . T)) 
+((((-419 (-576))) |has| |#1| (-1056 (-419 (-576)))) (((-576)) -3766 (|has| |#1| (-860)) (|has| |#1| (-1056 (-576)))) ((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#2|) . T)) 
 ((((-145)) . T)) 
-((((-1195)) -2838 (-12 (|has| (-1193 |#1| |#2| |#3|) (-914 (-1195))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-914 (-1195)))))) 
+((((-1195)) -3766 (-12 (|has| (-1193 |#1| |#2| |#3|) (-914 (-1195))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-914 (-1195)))))) 
 ((((-1195)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-914 (-1195))))) 
 ((((-1195)) -12 (|has| |#1| (-15 * (|#1| (-783) |#1|))) (|has| |#1| (-914 (-1195))))) 
-(-2838 (|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| (-862)) (|has| |#2| (-1067)) (|has| |#2| (-1118))) 
+(-3766 (|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| (-862)) (|has| |#2| (-1067)) (|has| |#2| (-1118))) 
 (((|#1|) . T)) 
 (|has| |#1| (-146)) 
 (|has| |#1| (-148)) 
@@ -1884,19 +1884,19 @@
 ((((-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) (($) -2838 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -3766 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
 ((($) |has| |#1| (-568)) ((|#1|) . T)) 
 ((($) |has| |#1| (-860))) 
 ((((-1193 |#1| |#2| |#3|)) |has| |#1| (-374))) 
 (|has| |#1| (-925)) 
 ((((-1195)) . T)) 
 ((((-874)) . T)) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1278 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) . T)) 
-((((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1278 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
-(((|#1|) . T) (($) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
-(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1278 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) . T)) 
+((((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1278 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
+(((|#1|) . T) (($) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
+(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 ((((-576) |#2|) . T)) 
 ((($ (-1195)) -12 (|has| |#4| (-914 (-1195))) (|has| |#4| (-1067)))) 
@@ -1906,9 +1906,9 @@
 ((($) |has| |#1| (-379))) 
 ((($) |has| |#1| (-379))) 
 (((|#1| |#2|) . T)) 
-(-2838 (|has| |#2| (-464)) (|has| |#2| (-925))) 
-(((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118))) ((#0=(-2 (|:| -3672 (-1177)) (|:| -1918 |#1|)) #0#) |has| (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|)) (-319 (-2 (|:| -3672 (-1177)) (|:| -1918 |#1|))))) 
-(-2838 (|has| |#1| (-464)) (|has| |#1| (-925))) 
+(-3766 (|has| |#2| (-464)) (|has| |#2| (-925))) 
+(((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118))) ((#0=(-2 (|:| -4169 (-1177)) (|:| -3180 |#1|)) #0#) |has| (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|)) (-319 (-2 (|:| -4169 (-1177)) (|:| -3180 |#1|))))) 
+(-3766 (|has| |#1| (-464)) (|has| |#1| (-925))) 
 (((|#1|) . T)) 
 (((|#1|) . T) (($) . T)) 
 (((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118)))) 
@@ -1916,23 +1916,23 @@
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-(((|#3|) -2838 (|has| |#3| (-174)) (|has| |#3| (-374)))) 
+(((|#3|) -3766 (|has| |#3| (-174)) (|has| |#3| (-374)))) 
 (|has| |#1| (-862)) 
 (|has| |#1| (-568)) 
 ((((-593 |#1|)) . T)) 
 ((($) . T)) 
 (((|#2|) . T)) 
-(-2838 (-12 (|has| |#1| (-374)) (|has| |#2| (-832))) (-12 (|has| |#1| (-374)) (|has| |#2| (-862)))) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (-12 (|has| |#1| (-374)) (|has| |#2| (-832))) (-12 (|has| |#1| (-374)) (|has| |#2| (-862)))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-568))) 
 ((((-926 |#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)) (($) |has| |#1| (-568))) 
-((((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1193 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
-(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+((((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1193 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
+(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((((-2 (|:| -3672 (-1195)) (|:| -1918 (-52)))) . T)) 
+((((-2 (|:| -4169 (-1195)) (|:| -3180 (-52)))) . T)) 
 ((((-576)) |has| #0=(-419 |#2|) (-651 (-576))) ((#0#) . T) (((-419 (-576))) . T) (($) . T)) 
 ((((-684 |#1|)) . T)) 
 (((|#1| |#2| |#3| |#4|) . T)) 
@@ -1941,7 +1941,7 @@
 ((((-874)) . T)) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 ((((-874)) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
 ((((-1200)) . T)) 
 ((((-419 (-576))) . T) (($) . T) (((-419 |#1|)) . T) ((|#1|) . T) (((-576)) . T)) 
 (((|#3|) . T) (((-576)) . T) (((-624 $)) . T)) 
@@ -1949,12 +1949,12 @@
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 (((|#2|) . T)) 
-(-2838 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-379)) (|has| |#3| (-738)) (|has| |#3| (-805)) (|has| |#3| (-862)) (|has| |#3| (-1067)) (|has| |#3| (-1118))) 
+(-3766 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-379)) (|has| |#3| (-738)) (|has| |#3| (-805)) (|has| |#3| (-862)) (|has| |#3| (-1067)) (|has| |#3| (-1118))) 
 (|has| |#2| (-1067)) 
 ((((-419 (-576))) |has| |#1| (-1056 (-419 (-576)))) (((-576)) |has| |#1| (-1056 (-576))) ((|#1|) . T)) 
 (|has| |#1| (-1221)) 
 (|has| |#1| (-1221)) 
-(-2838 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-862)) (|has| |#2| (-1067)) (|has| |#2| (-1118))) 
+(-3766 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-862)) (|has| |#2| (-1067)) (|has| |#2| (-1118))) 
 (|has| |#1| (-1221)) 
 (|has| |#1| (-1221)) 
 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
@@ -1973,16 +1973,16 @@
 ((((-1177) (-52)) . T)) 
 (|has| |#1| (-1118)) 
 (((|#1|) |has| |#1| (-174)) (($) . T)) 
-(-2838 (|has| |#2| (-832)) (|has| |#2| (-862))) 
+(-3766 (|has| |#2| (-832)) (|has| |#2| (-862))) 
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1|) . T)) 
 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
 ((((-576)) . T) (($) . T)) 
 ((((-783)) . T)) 
-(-2838 (|has| |#1| (-239)) (|has| |#1| (-360))) 
+(-3766 (|has| |#1| (-239)) (|has| |#1| (-360))) 
 ((((-1195)) |has| |#1| (-914 (-1195)))) 
-(-2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
+(-3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
 ((((-874)) . T)) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 (|has| |#2| (-925)) 
@@ -1990,32 +1990,32 @@
 (((|#2|) |has| |#2| (-1118))) 
 ((($) . T) (((-576)) . T)) 
 ((($) . T)) 
-(-2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+(-3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
 ((((-548)) . T) (((-419 (-1191 (-576)))) . T) (((-227)) . T) (((-390)) . T)) 
 ((((-390)) . T) (((-227)) . T) (((-874)) . T)) 
 (|has| |#1| (-925)) 
 (|has| |#1| (-925)) 
 ((($ (-1195)) |has| |#1| (-914 (-1195))) (($ (-830 (-1195))) . T)) 
 ((((-576)) . T) (((-419 (-576))) . T) (($) . T)) 
-(-2838 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
-((($) -2838 (|has| |#1| (-374)) (|has| |#1| (-360))) (((-419 (-576))) -2838 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
+(-3766 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
+((($) -3766 (|has| |#1| (-374)) (|has| |#1| (-360))) (((-419 (-576))) -3766 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
 (|has| |#1| (-925)) 
-(-2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
-(((|#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)))) 
-(-2838 (|has| |#1| (-464)) (|has| |#1| (-925))) 
+(-3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+(((|#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)))) 
+(-3766 (|has| |#1| (-464)) (|has| |#1| (-925))) 
 ((($) . T)) 
 (((|#1|) . T)) 
 ((($) . T) ((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) 
-(((|#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1067)))) 
+(((|#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1067)))) 
 (((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118)))) 
 ((((-1193 |#1| |#2| |#3|)) -12 (|has| (-1193 |#1| |#2| |#3|) (-319 (-1193 |#1| |#2| |#3|))) (|has| |#1| (-374)))) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-925))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-925))) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 ((($ $) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
-((($) -2838 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (-12 (|has| |#1| (-374)) (|has| |#2| (-239))))) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
+((($) -3766 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (-12 (|has| |#1| (-374)) (|has| |#2| (-239))))) 
 ((($) |has| |#1| (-15 * (|#1| (-419 (-576)) |#1|)))) 
 ((((-989)) . T)) 
 ((((-989)) . T) (((-874)) . T)) 
@@ -2024,7 +2024,7 @@
 ((($) . T)) 
 (((|#1|) . T)) 
 ((((-112)) . T)) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) 
 ((((-576)) . T)) 
 (((|#1| (-576)) . T)) 
 ((($) . T)) 
@@ -2047,7 +2047,7 @@
 (((|#1| (-1250 |#1| |#2| |#3|)) . T)) 
 (((|#1| (-783)) . T)) 
 ((((-874)) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 (|has| |#1| (-1118)) 
 (((|#1|) . T)) 
 ((((-1177) |#1|) . T)) 
@@ -2066,7 +2066,7 @@
 (((|#1|) . T)) 
 ((((-576)) . T)) 
 ((((-874)) . T)) 
-(-2838 (|has| |#1| (-146)) (|has| |#1| (-360))) 
+(-3766 (|has| |#1| (-146)) (|has| |#1| (-360))) 
 ((((-874)) . T)) 
 (|has| |#1| (-148)) 
 (((|#3|) . T)) 
@@ -2075,11 +2075,11 @@
 ((($) |has| |#2| (-239))) 
 ((((-1271 |#2| |#3| |#4|)) . T) (((-1272 |#1| |#2| |#3| |#4|)) . T)) 
 ((((-874)) . T)) 
-((((-48)) -12 (|has| |#1| (-568)) (|has| |#1| (-1056 (-576)))) (((-624 $)) . T) ((|#1|) . T) (((-576)) |has| |#1| (-1056 (-576))) (((-419 (-576))) -2838 (-12 (|has| |#1| (-568)) (|has| |#1| (-1056 (-576)))) (|has| |#1| (-1056 (-419 (-576))))) (((-419 (-968 |#1|))) |has| |#1| (-568)) (((-968 |#1|)) |has| |#1| (-1067)) (((-1195)) . T)) 
+((((-48)) -12 (|has| |#1| (-568)) (|has| |#1| (-1056 (-576)))) (((-624 $)) . T) ((|#1|) . T) (((-576)) |has| |#1| (-1056 (-576))) (((-419 (-576))) -3766 (-12 (|has| |#1| (-568)) (|has| |#1| (-1056 (-576)))) (|has| |#1| (-1056 (-419 (-576))))) (((-419 (-968 |#1|))) |has| |#1| (-568)) (((-968 |#1|)) |has| |#1| (-1067)) (((-1195)) . T)) 
 (((|#1|) . T) (($) . T)) 
 (((|#1| (-783)) . T)) 
 (((|#1|) . T)) 
-((($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) 
+((($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) 
 (((|#1|) |has| |#1| (-319 |#1|))) 
 ((((-1272 |#1| |#2| |#3| |#4|)) . T)) 
 ((((-576)) |has| |#1| (-899 (-576))) (((-390)) |has| |#1| (-899 (-390)))) 
@@ -2089,30 +2089,30 @@
 (|has| |#1| (-568)) 
 ((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-568))) 
 (((|#1|) . T)) 
-((((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1193 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
-(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+((((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1193 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) 
+(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2838 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1193 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) . T)) 
-(((|#1|) . T) (($) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-(((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) (((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) |has| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-319 (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -3766 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1193 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) . T)) 
+(((|#1|) . T) (($) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+(((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) (((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) |has| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (-319 (-2 (|:| -4169 |#1|) (|:| -3180 |#2|))))) 
 (((|#1|) |has| |#1| (-174))) 
 ((((-874)) . T)) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
-((($ (-1195)) -2838 (-12 (|has| (-1278 |#1| |#2| |#3|) (-914 (-1195))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-914 (-1195)))))) 
+((($ (-1195)) -3766 (-12 (|has| (-1278 |#1| |#2| |#3|) (-914 (-1195))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-914 (-1195)))))) 
 ((($ (-1195)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-914 (-1195))))) 
 (((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118)))) 
 ((($ (-1195)) -12 (|has| |#1| (-15 * (|#1| (-783) |#1|))) (|has| |#1| (-914 (-1195))))) 
 (((|#1|) |has| |#1| (-174)) (($) . T) (((-576)) . T)) 
 (((|#1|) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -2838 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -3766 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
 (((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) (((-576)) . T) (($) . T)) 
 (((|#3|) |has| |#3| (-1118))) 
 ((((-926 |#1|)) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
-(((|#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)))) 
+(((|#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)))) 
 ((((-1271 |#2| |#3| |#4|)) . T)) 
 ((((-112)) . T)) 
 (|has| |#1| (-832)) 
@@ -2122,8 +2122,8 @@
 (|has| |#1| (-860)) 
 (|has| |#1| (-860)) 
 (((|#1| (-576) (-1100)) . T)) 
-(-2838 (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067))) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+(-3766 (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067))) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 (((|#1| (-419 (-576)) (-1100)) . T)) 
 (((|#1| (-783) (-1100)) . T)) 
 (|has| |#1| (-862)) 
@@ -2137,41 +2137,41 @@
 ((((-926 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) 
 (|has| |#1| (-1118)) 
 ((((-419 (-576))) |has| |#2| (-374)) (($) . T) (((-576)) . T)) 
-((((-576)) -2838 (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067)))) 
+((((-576)) -3766 (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067)))) 
 (((|#1|) . T)) 
 (|has| |#1| (-1118)) 
 ((((-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-651 (-576)))) ((|#2|) |has| |#1| (-374))) 
-(-2838 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-862)) (|has| |#2| (-1067)) (|has| |#2| (-1118))) 
-((((-701 (-350 (-2968) (-2968 (QUOTE X) (QUOTE HESS)) (-711)))) . T)) 
+(-3766 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-862)) (|has| |#2| (-1067)) (|has| |#2| (-1118))) 
+((((-701 (-350 (-2895) (-2895 (QUOTE X) (QUOTE HESS)) (-711)))) . T)) 
 (((|#2|) |has| |#2| (-174))) 
 (((|#1|) |has| |#1| (-174))) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
-((((-2 (|:| -3672 (-1177)) (|:| -1918 |#1|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
+((((-2 (|:| -4169 (-1177)) (|:| -3180 |#1|))) . T)) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 ((((-1271 |#2| |#3| |#4|) (-329 |#2| |#3| |#4|)) . T)) 
-(((|#1| |#1|) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1067)))) 
+(((|#1| |#1|) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1067)))) 
 (((|#1|) . T)) 
 ((((-576)) . T)) 
 ((((-576)) . T)) 
-(((|#1|) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1067)))) 
+(((|#1|) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1067)))) 
 (((|#2|) |has| |#2| (-374))) 
 (((|#1|) . T)) 
 ((($) . T) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-374)) (((-576)) |has| |#1| (-651 (-576)))) 
 (|has| |#1| (-862)) 
 (((|#1|) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 (((|#1|) . T) (((-576)) . T)) 
 (((|#2|) . T)) 
 ((((-576)) . T) ((|#3|) . T)) 
-((((-2 (|:| -3672 (-1195)) (|:| -1918 (-52)))) |has| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (-319 (-2 (|:| -3672 (-1195)) (|:| -1918 (-52)))))) 
-(-2838 (|has| |#1| (-464)) (|has| |#1| (-925))) 
+((((-2 (|:| -4169 (-1195)) (|:| -3180 (-52)))) |has| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (-319 (-2 (|:| -4169 (-1195)) (|:| -3180 (-52)))))) 
+(-3766 (|has| |#1| (-464)) (|has| |#1| (-925))) 
 (((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 ((($ (-1195)) -12 (|has| |#2| (-914 (-1195))) (|has| |#2| (-1067)))) 
-((((-576)) -2838 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067))) ((|#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1067))) (($) |has| |#2| (-1067))) 
+((((-576)) -3766 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067))) ((|#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1067))) (($) |has| |#2| (-1067))) 
 ((((-548)) . T) (((-576)) . T) (((-905 (-576))) . T) (((-390)) . T) (((-227)) . T)) 
 ((((-874)) . T)) 
 ((($) |has| |#1| (-239))) 
@@ -2206,10 +2206,10 @@
 (|has| |#1| (-146)) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1|) |has| |#1| (-174))) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((((-576)) . T) ((|#1|) . T) (($) . T) (((-419 (-576))) . T) (((-1195)) |has| |#1| (-1056 (-1195)))) 
 (((|#1| |#2|) . T)) 
-((((-419 (-576))) |has| |#1| (-1056 (-419 (-576)))) (((-576)) -2838 (|has| |#1| (-860)) (|has| |#1| (-1056 (-576)))) ((|#1|) . T)) 
+((((-419 (-576))) |has| |#1| (-1056 (-419 (-576)))) (((-576)) -3766 (|has| |#1| (-860)) (|has| |#1| (-1056 (-576)))) ((|#1|) . T)) 
 (-12 (|has| |#4| (-239)) (|has| |#4| (-1067))) 
 (-12 (|has| |#3| (-239)) (|has| |#3| (-1067))) 
 ((((-145)) . T)) 
@@ -2222,20 +2222,20 @@
 ((((-874)) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 ((($) . T) (((-576)) |has| |#1| (-651 (-576))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-374)) 
 ((($ |#2|) . T)) 
 (|has| (-419 |#2|) (-239)) 
 ((((-656 |#1|)) . T)) 
-((($ (-1195)) -2838 (-12 (|has| (-1193 |#1| |#2| |#3|) (-914 (-1195))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-914 (-1195)))))) 
+((($ (-1195)) -3766 (-12 (|has| (-1193 |#1| |#2| |#3|) (-914 (-1195))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-914 (-1195)))))) 
 ((($ (-1195)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-914 (-1195))))) 
 ((($ (-1195)) -12 (|has| |#1| (-15 * (|#1| (-783) |#1|))) (|has| |#1| (-914 (-1195))))) 
 (|has| |#1| (-925)) 
 (((|#2|) |has| |#2| (-1067))) 
 ((($) . T)) 
 (|has| |#1| (-374)) 
-(((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) (((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) |has| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-319 (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))))) 
+(((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) (((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) |has| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (-319 (-2 (|:| -4169 |#1|) (|:| -3180 |#2|))))) 
 (((|#1|) |has| |#1| (-174))) 
 ((($ (-876 |#1|)) . T)) 
 (((|#1| |#1|) . T)) 
@@ -2246,7 +2246,7 @@
 (((|#1|) . T)) 
 ((((-419 |#2|)) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
 ((((-656 $)) . T) (((-1177)) . T) (((-1195)) . T) (((-576)) . T) (((-227)) . T) (((-874)) . T)) 
-((((-576)) -2838 (|has| |#3| (-21)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1067))) ((|#3|) -2838 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)) (|has| |#3| (-1067))) (($) |has| |#3| (-1067))) 
+((((-576)) -3766 (|has| |#3| (-21)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1067))) ((|#3|) -3766 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)) (|has| |#3| (-1067))) (($) |has| |#3| (-1067))) 
 ((((-419 (-576))) . T) (((-576)) . T) (((-624 $)) . T)) 
 (((|#1|) . T)) 
 ((((-874)) . T)) 
@@ -2261,7 +2261,7 @@
 (((|#1| (-419 (-576)) (-1100)) . T)) 
 (((|#1| (-783) (-1100)) . T)) 
 (((#0=(-419 |#2|) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) 
-(((|#1|) . T) (((-576)) -2838 (|has| (-419 (-576)) (-1056 (-576))) (|has| |#1| (-1056 (-576)))) (((-419 (-576))) . T)) 
+(((|#1|) . T) (((-576)) -3766 (|has| (-419 (-576)) (-1056 (-576))) (|has| |#1| (-1056 (-576)))) (((-419 (-576))) . T)) 
 (((|#1| (-614 |#1| |#3|) (-614 |#1| |#2|)) . T)) 
 (((|#1|) |has| |#1| (-174))) 
 (((|#1|) . T)) 
@@ -2282,12 +2282,12 @@
 (((|#2|) |has| |#2| (-174))) 
 (|has| |#1| (-239)) 
 ((((-576)) . T) ((|#2|) . T) (((-419 (-576))) |has| |#2| (-1056 (-419 (-576))))) 
-((((-112)) |has| |#1| (-1118)) (((-874)) -2838 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067)) (|has| |#1| (-1130)) (|has| |#1| (-1118)))) 
+((((-112)) |has| |#1| (-1118)) (((-874)) -3766 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067)) (|has| |#1| (-1130)) (|has| |#1| (-1118)))) 
 (((|#1|) . T) (($) . T)) 
 (((|#1| |#2|) . T)) 
 ((($) . T) (((-576)) . T) (((-419 (-576))) . T)) 
 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
-((((-2 (|:| -3672 (-1177)) (|:| -1918 (-52)))) . T)) 
+((((-2 (|:| -4169 (-1177)) (|:| -3180 (-52)))) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
@@ -2300,17 +2300,17 @@
 ((((-711)) . T) (((-419 (-576))) . T) (((-576)) . T)) 
 (((|#1| |#1|) |has| |#1| (-174))) 
 (((|#2|) . T)) 
-((($) . T) (((-576)) . T) (((-419 (-576))) -2838 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
+((($) . T) (((-576)) . T) (((-419 (-576))) -3766 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
 ((((-576) |#1|) . T)) 
-(((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) (((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) |has| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-319 (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))))) 
+(((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) (((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) |has| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (-319 (-2 (|:| -4169 |#1|) (|:| -3180 |#2|))))) 
 ((((-390)) . T)) 
 ((((-711)) . T)) 
 ((((-419 (-576))) . #0=(|has| |#2| (-374))) (($) . #0#)) 
 (((|#1|) |has| |#1| (-174))) 
 ((((-419 (-968 |#1|))) . T)) 
 (((|#2| |#2|) . T)) 
-(-2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
-(-2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+(-3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
+(-3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
 (((|#1|) . T)) 
 (((|#2|) . T)) 
 (((|#3|) |has| |#3| (-1067))) 
@@ -2320,15 +2320,15 @@
 ((($) . T)) 
 ((((-1195)) |has| |#2| (-914 (-1195)))) 
 ((((-874)) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 ((((-419 (-576))) . T) (($) . T)) 
 (|has| |#1| (-485)) 
 (|has| |#1| (-379)) 
 (|has| |#1| (-379)) 
 (|has| |#1| (-379)) 
 (|has| |#1| (-374)) 
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-((($) -2838 (|has| |#1| (-239)) (|has| |#1| (-360)))) 
+(-3766 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-485)) (|has| |#1| (-568)) (|has| |#1| (-1067)) (|has| |#1| (-1130))) 
+((($) -3766 (|has| |#1| (-239)) (|has| |#1| (-360)))) 
 ((((-117 |#1|)) . T)) 
 ((((-117 |#1|)) . T)) 
 (|has| |#1| (-360)) 
@@ -2350,18 +2350,18 @@
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-862)) 
-((((-2 (|:| -3672 (-1177)) (|:| -1918 |#1|))) . T)) 
+((((-2 (|:| -4169 (-1177)) (|:| -3180 |#1|))) . T)) 
 (((|#1| |#2|) . T)) 
 ((($) . T) (((-576)) . T)) 
 (|has| |#1| (-148)) 
 (|has| |#1| (-146)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) |has| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-319 (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)))) ((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118)))) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) |has| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (-319 (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)))) ((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118)))) 
 (((|#2|) . T)) 
 (|has| |#1| (-15 * (|#1| (-576) |#1|))) 
 (((|#3|) . T)) 
 ((((-117 |#1|)) . T)) 
 (|has| |#1| (-379)) 
-(-2838 (-12 (|has| (-1278 |#1| |#2| |#3|) (-239)) (|has| |#1| (-374))) (|has| |#1| (-15 * (|#1| (-576) |#1|)))) 
+(-3766 (-12 (|has| (-1278 |#1| |#2| |#3|) (-239)) (|has| |#1| (-374))) (|has| |#1| (-15 * (|#1| (-576) |#1|)))) 
 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) 
 (|has| |#1| (-862)) 
 (|has| |#1| (-15 * (|#1| (-783) |#1|))) 
@@ -2373,18 +2373,18 @@
 ((((-576)) . T)) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-374)) 
-(-2838 (|has| |#2| (-239)) (|has| |#2| (-914 (-1195)))) 
+(-3766 (|has| |#2| (-239)) (|has| |#2| (-914 (-1195)))) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 ((((-548)) |has| |#1| (-626 (-548))) (((-905 (-576))) |has| |#1| (-626 (-905 (-576)))) (((-905 (-390))) |has| |#1| (-626 (-905 (-390)))) (((-390)) . #0=(|has| |#1| (-1040))) (((-227)) . #0#)) 
 (((|#1|) |has| |#1| (-374))) 
 ((((-874)) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 ((($ $) . T) (((-624 $) $) . T)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-568))) 
 ((($) . T) (((-1272 |#1| |#2| |#3| |#4|)) . T) (((-419 (-576))) . T)) 
-((($) -2838 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1067))) ((|#1|) -2838 (|has| |#1| (-174)) (|has| |#1| (-1067))) (((-419 (-576))) |has| |#1| (-568)) (((-576)) -12 (|has| |#1| (-651 (-576))) (|has| |#1| (-1067)))) 
-((($) . T) (((-576)) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) . T)) 
+((($) -3766 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1067))) ((|#1|) -3766 (|has| |#1| (-174)) (|has| |#1| (-1067))) (((-419 (-576))) |has| |#1| (-568)) (((-576)) -12 (|has| |#1| (-651 (-576))) (|has| |#1| (-1067)))) 
+((($) . T) (((-576)) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) . T)) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-374)) 
@@ -2398,17 +2398,17 @@
 (((|#3|) -12 (|has| |#3| (-319 |#3|)) (|has| |#3| (-1118)))) 
 (((|#1|) |has| |#1| (-174))) 
 ((((-874)) . T)) 
-(-2838 (|has| |#2| (-464)) (|has| |#2| (-925))) 
+(-3766 (|has| |#2| (-464)) (|has| |#2| (-925))) 
 (((|#1|) . T)) 
 ((($) . T)) 
 ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
 (((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118)))) 
 ((((-783)) . T)) 
 (|has| |#1| (-1118)) 
-((((-576)) -2838 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067))) ((|#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1067))) (($) |has| |#2| (-1067))) 
+((((-576)) -3766 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067))) ((|#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1067))) (($) |has| |#2| (-1067))) 
 ((((-874)) . T)) 
 ((((-1195)) . T) (((-874)) . T)) 
 ((((-576)) -12 (|has| |#1| (-21)) (|has| |#2| (-21)))) 
@@ -2416,14 +2416,14 @@
 (|has| |#1| (-146)) 
 (|has| |#1| (-148)) 
 ((((-576)) . T)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-568))) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-568))) 
 (((#0=(-1271 |#2| |#3| |#4|)) . T) (((-419 (-576))) |has| #0# (-38 (-419 (-576)))) (($) . T)) 
 ((((-576)) . T)) 
 ((($) . T)) 
 (|has| |#1| (-374)) 
-(-2838 (-12 (|has| (-1278 |#1| |#2| |#3|) (-148)) (|has| |#1| (-374))) (|has| |#1| (-148))) 
-(-2838 (-12 (|has| (-1278 |#1| |#2| |#3|) (-146)) (|has| |#1| (-374))) (|has| |#1| (-146))) 
+(-3766 (-12 (|has| (-1278 |#1| |#2| |#3|) (-148)) (|has| |#1| (-374))) (|has| |#1| (-148))) 
+(-3766 (-12 (|has| (-1278 |#1| |#2| |#3|) (-146)) (|has| |#1| (-374))) (|has| |#1| (-146))) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-146)) 
 (|has| |#1| (-148)) 
@@ -2444,12 +2444,12 @@
 (|has| |#1| (-1118)) 
 ((((-1160 |#2| |#1|)) . T) ((|#1|) . T) (((-576)) . T)) 
 (((|#1| |#2|) . T)) 
-((((-576)) . T) ((|#1|) . T) (((-419 (-576))) -2838 (|has| |#1| (-374)) (|has| |#1| (-1056 (-419 (-576)))))) 
+((((-576)) . T) ((|#1|) . T) (((-419 (-576))) -3766 (|has| |#1| (-374)) (|has| |#1| (-1056 (-419 (-576)))))) 
 ((((-1195)) -12 (|has| |#1| (-374)) (|has| |#1| (-914 (-1195))))) 
 (((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) 
 (((|#2|) . T) (($) . T) (((-576)) . T)) 
 (((|#1|) . T) (($) . T) (((-576)) . T)) 
-(-2838 (|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| (-862)) (|has| |#2| (-1067)) (|has| |#2| (-1118))) 
+(-3766 (|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| (-862)) (|has| |#2| (-1067)) (|has| |#2| (-1118))) 
 ((((-874)) . T)) 
 ((((-576)) . T)) 
 (-12 (|has| |#2| (-239)) (|has| |#2| (-1067))) 
@@ -2457,13 +2457,13 @@
 ((((-419 (-576))) . T) (($) . T) (((-419 |#1|)) . T) ((|#1|) . T)) 
 ((((-968 |#1|)) . T) (((-874)) . T)) 
 (((|#3|) . T)) 
-(((|#1| |#1|) . T) (($ $) -2838 (|has| |#1| (-300)) (|has| |#1| (-374))) ((#0=(-419 (-576)) #0#) |has| |#1| (-374))) 
+(((|#1| |#1|) . T) (($ $) -3766 (|has| |#1| (-300)) (|has| |#1| (-374))) ((#0=(-419 (-576)) #0#) |has| |#1| (-374))) 
 ((((-968 |#1|)) . T)) 
-((((-2 (|:| -3672 (-1195)) (|:| -1918 (-52)))) . T)) 
+((((-2 (|:| -4169 (-1195)) (|:| -3180 (-52)))) . T)) 
 ((($) . T)) 
 ((((-576) |#1|) . T)) 
 ((((-1195)) |has| (-419 |#2|) (-914 (-1195)))) 
-(((|#1|) . T) (($) -2838 (|has| |#1| (-300)) (|has| |#1| (-374))) (((-419 (-576))) |has| |#1| (-374))) 
+(((|#1|) . T) (($) -3766 (|has| |#1| (-300)) (|has| |#1| (-374))) (((-419 (-576))) |has| |#1| (-374))) 
 ((((-548)) |has| |#2| (-626 (-548)))) 
 ((((-701 |#2|)) . T) (((-874)) . T)) 
 (((|#1|) . T)) 
@@ -2471,23 +2471,23 @@
 (((|#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1118)))) 
 ((((-882 |#1|)) . T)) 
 (((|#1|) |has| |#1| (-174))) 
-(-2838 (|has| |#4| (-805)) (|has| |#4| (-862))) 
-(-2838 (|has| |#3| (-805)) (|has| |#3| (-862))) 
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+(-3766 (|has| |#3| (-805)) (|has| |#3| (-862))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 (((|#1|) . T)) 
 ((($) . T) (((-576)) . T) ((|#2|) . T)) 
 (((|#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1118)))) 
-(((|#3|) -2838 (|has| |#3| (-174)) (|has| |#3| (-374)))) 
+(((|#3|) -3766 (|has| |#3| (-174)) (|has| |#3| (-374)))) 
 (((|#2|) |has| |#2| (-1067))) 
 (((|#3|) . T)) 
 ((($) . T)) 
 (((|#1|) . T)) 
 ((((-419 |#2|)) . T)) 
-(((|#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)))) 
+(((|#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)))) 
 (((|#1|) . T)) 
-(((|#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1067)))) 
+(((|#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1067)))) 
 (((|#3|) -12 (|has| |#3| (-319 |#3|)) (|has| |#3| (-1118)))) 
 ((((-1253 (-576)) $) . T) (((-576) |#1|) . T)) 
 (((|#1|) . T)) 
@@ -2496,17 +2496,17 @@
 ((((-419 (-576))) . T) (($) . T)) 
 ((((-419 (-576))) . T) (($) . T)) 
 ((((-419 (-576))) . T) (($) . T)) 
-(-2838 (|has| |#1| (-464)) (|has| |#1| (-1240))) 
+(-3766 (|has| |#1| (-464)) (|has| |#1| (-1240))) 
 ((($) . T)) 
 ((((-419 (-576))) |has| #0=(-419 |#2|) (-1056 (-419 (-576)))) (((-576)) |has| #0# (-1056 (-576))) ((#0#) . T)) 
 (((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) 
 (((|#1| (-783)) . T)) 
 (|has| |#1| (-862)) 
 (((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) 
-((($) -2838 (|has| |#1| (-374)) (|has| |#1| (-360))) (((-419 (-576))) -2838 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
+((($) -3766 (|has| |#1| (-374)) (|has| |#1| (-360))) (((-419 (-576))) -3766 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
 ((((-576)) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
-((((-2 (|:| -3672 (-1177)) (|:| -1918 (-52)))) |has| (-2 (|:| -3672 (-1177)) (|:| -1918 (-52))) (-319 (-2 (|:| -3672 (-1177)) (|:| -1918 (-52)))))) 
+((((-2 (|:| -4169 (-1177)) (|:| -3180 (-52)))) |has| (-2 (|:| -4169 (-1177)) (|:| -3180 (-52))) (-319 (-2 (|:| -4169 (-1177)) (|:| -3180 (-52)))))) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 (|has| |#1| (-860)) 
 (|has| |#1| (-38 (-419 (-576)))) 
@@ -2522,7 +2522,7 @@
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 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
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 (|has| |#1| (-360)) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
@@ -2533,54 +2533,54 @@
 ((((-1177)) . T) (((-518)) . T) (((-227)) . T) (((-576)) . T)) 
 ((((-874)) . T)) 
 ((((-1195)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-914 (-1195))))) 
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 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) 
 (|has| |#1| (-15 * (|#1| (-783) |#1|))) 
-(((|#2|) . T) (((-576)) . T) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) (((-1100)) . T) ((|#1|) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576)))))) 
+(((|#2|) . T) (((-576)) . T) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) (((-1100)) . T) ((|#1|) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576)))))) 
 (((|#1| |#2|) . T)) 
 ((((-145)) . T)) 
 ((((-792 |#1| (-876 |#2|))) . T)) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
 (|has| |#1| (-1221)) 
 ((((-874)) . T)) 
 (((|#1|) . T)) 
-(-2838 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-379)) (|has| |#3| (-738)) (|has| |#3| (-805)) (|has| |#3| (-862)) (|has| |#3| (-1067)) (|has| |#3| (-1118))) 
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 ((((-1195) |#1|) |has| |#1| (-526 (-1195) |#1|))) 
 (((|#2|) . T)) 
-((($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
+((($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
 ((((-926 |#1|)) . T)) 
 ((($) -12 (|has| |#4| (-239)) (|has| |#4| (-1067)))) 
 ((($) -12 (|has| |#3| (-239)) (|has| |#3| (-1067)))) 
 ((($) . T)) 
 ((((-419 (-968 |#1|))) . T)) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
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 ((((-1195)) -12 (|has| |#2| (-914 (-1195))) (|has| |#2| (-1067)))) 
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 (|has| |#1| (-860)) 
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 (|has| |#1| (-1118)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
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 (((|#1|) . T)) 
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 (|has| |#1| (-374)) 
 (((|#1|) . T)) 
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+(((|#3|) -3766 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)))) 
 ((((-684 |#1|)) . T)) 
-(((|#3|) -2838 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)) (|has| |#3| (-1067)))) 
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 (|has| |#1| (-146)) 
 (|has| |#1| (-148)) 
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 (|has| |#1| (-146)) 
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 (|has| |#1| (-148)) 
 (|has| |#1| (-146)) 
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 ((((-1278 |#1| |#2| |#3|)) |has| |#1| (-374))) 
 (|has| |#1| (-860)) 
 (((|#1| |#2|) . T)) 
@@ -2606,10 +2606,10 @@
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) 
 ((((-1195) |#1|) |has| |#1| (-526 (-1195) |#1|)) ((|#1| |#1|) |has| |#1| (-319 |#1|))) 
-(((|#1|) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)))) 
+(((|#1|) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)))) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 ((((-576)) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
@@ -2619,10 +2619,10 @@
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#2|) |has| |#2| (-374))) 
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+((($) -3766 (|has| |#1| (-374)) (|has| |#1| (-360))) (((-419 (-576))) -3766 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
 (((|#2|) . T)) 
 ((((-419 (-576))) . T) (((-711)) . T) (($) . T)) 
-((($) . T) (((-419 (-576))) -2838 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
+((($) . T) (((-419 (-576))) -3766 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 (|has| |#1| (-239)) 
 (((#0=(-792 |#1| (-876 |#2|)) #0#) |has| (-792 |#1| (-876 |#2|)) (-319 (-792 |#1| (-876 |#2|))))) 
@@ -2644,13 +2644,13 @@
 (|has| |#1| (-146)) 
 (|has| |#1| (-148)) 
 ((($ $) . T)) 
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 (|has| |#1| (-568)) 
 (((|#2|) . T)) 
 ((((-576)) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 (((|#1|) . T)) 
-(-2838 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1067))) 
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 (((|#1| (-59 |#1|) (-59 |#1|)) . T)) 
 ((((-593 |#1|)) . T)) 
 ((($) . T)) 
@@ -2670,7 +2670,7 @@
 (((|#1|) . T)) 
 (((|#3|) . T) (((-576)) . T)) 
 ((((-1271 |#2| |#3| |#4|)) . T) (((-576)) . T) (((-1272 |#1| |#2| |#3| |#4|)) . T) (($) . T) (((-419 (-576))) . T)) 
-((((-48)) -12 (|has| |#1| (-568)) (|has| |#1| (-1056 (-576)))) (((-576)) -2838 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1056 (-576))) (|has| |#1| (-1067))) ((|#1|) . T) (((-624 $)) . T) (($) |has| |#1| (-568)) (((-419 (-576))) -2838 (|has| |#1| (-568)) (|has| |#1| (-1056 (-419 (-576))))) (((-419 (-968 |#1|))) |has| |#1| (-568)) (((-968 |#1|)) |has| |#1| (-1067)) (((-1195)) . T)) 
+((((-48)) -12 (|has| |#1| (-568)) (|has| |#1| (-1056 (-576)))) (((-576)) -3766 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1056 (-576))) (|has| |#1| (-1067))) ((|#1|) . T) (((-624 $)) . T) (($) |has| |#1| (-568)) (((-419 (-576))) -3766 (|has| |#1| (-568)) (|has| |#1| (-1056 (-419 (-576))))) (((-419 (-968 |#1|))) |has| |#1| (-568)) (((-968 |#1|)) |has| |#1| (-1067)) (((-1195)) . T)) 
 ((((-419 (-576))) |has| |#2| (-1056 (-419 (-576)))) (((-576)) |has| |#2| (-1056 (-576))) ((|#2|) . T) (((-876 |#1|)) . T)) 
 ((($) . T) (((-117 |#1|)) . T) (((-419 (-576))) . T)) 
 ((((-1143 |#1| |#2|)) . T) ((|#2|) . T) ((|#1|) . T) (((-576)) |has| |#1| (-1056 (-576))) (((-419 (-576))) |has| |#1| (-1056 (-419 (-576))))) 
@@ -2683,24 +2683,24 @@
 (((|#1| |#2|) . T)) 
 ((((-1195) |#1|) . T)) 
 (((|#4|) . T)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-360))) 
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 ((((-1195) (-52)) . T)) 
 ((((-419 (-576))) |has| |#1| (-1056 (-419 (-576)))) (((-576)) |has| |#1| (-1056 (-576))) ((|#1|) . T)) 
 ((((-1271 |#2| |#3| |#4|) (-329 |#2| |#3| |#4|)) . T)) 
 ((((-874)) . T)) 
-(-2838 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-379)) (|has| |#2| (-738)) (|has| |#2| (-805)) (|has| |#2| (-862)) (|has| |#2| (-1067)) (|has| |#2| (-1118))) 
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 (((#0=(-1272 |#1| |#2| |#3| |#4|) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) 
 (((|#1| |#1|) |has| |#1| (-174)) ((#0=(-419 (-576)) #0#) |has| |#1| (-568)) (($ $) |has| |#1| (-568))) 
 ((($) |has| |#1| (-15 * (|#1| (-576) |#1|)))) 
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+((($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) 
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#1| $) |has| |#1| (-296 |#1| |#1|))) 
 ((((-1272 |#1| |#2| |#3| |#4|)) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-568)) (($) |has| |#1| (-568))) 
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+((((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1|) . T)) 
 (|has| |#1| (-374)) 
-((($) |has| |#1| (-860)) (((-576)) -2838 (|has| |#1| (-21)) (|has| |#1| (-860)))) 
-((($) -2838 (-12 (|has| (-1278 |#1| |#2| |#3|) (-239)) (|has| |#1| (-374))) (|has| |#1| (-15 * (|#1| (-576) |#1|))))) 
+((($) |has| |#1| (-860)) (((-576)) -3766 (|has| |#1| (-21)) (|has| |#1| (-860)))) 
+((($) -3766 (-12 (|has| (-1278 |#1| |#2| |#3|) (-239)) (|has| |#1| (-374))) (|has| |#1| (-15 * (|#1| (-576) |#1|))))) 
 ((($) |has| |#1| (-15 * (|#1| (-419 (-576)) |#1|)))) 
 ((($) |has| |#1| (-15 * (|#1| (-783) |#1|)))) 
 (|has| |#1| (-146)) 
@@ -2715,17 +2715,17 @@
 (((|#1|) . T)) 
 (((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118)))) 
 (((|#2| |#3|) . T)) 
-(-2838 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
+(-3766 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
 (((|#1| (-543 |#2|)) . T)) 
 (((|#1| (-783)) . T)) 
 (((|#1| (-543 (-1106 (-1195)))) . T)) 
 (((|#1|) |has| |#1| (-174))) 
 (((|#1|) . T)) 
 (|has| |#2| (-925)) 
-(-2838 (|has| |#2| (-805)) (|has| |#2| (-862))) 
+(-3766 (|has| |#2| (-805)) (|has| |#2| (-862))) 
 ((((-874)) . T)) 
-(((|#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)))) 
-(((|#2|) -2838 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1067)))) 
+(((|#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)))) 
+(((|#2|) -3766 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1067)))) 
 ((($ (-1195)) -12 (|has| |#3| (-914 (-1195))) (|has| |#3| (-1067)))) 
 ((($ $) . T) ((#0=(-1271 |#2| |#3| |#4|) #0#) . T) ((#1=(-419 (-576)) #1#) |has| #0# (-38 (-419 (-576))))) 
 ((((-926 |#1|)) . T)) 
@@ -2734,14 +2734,14 @@
 ((((-874)) . T)) 
 ((($) . T) (((-576)) . T)) 
 ((($) . T)) 
-(-2838 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-374)) 
 (((|#1| |#2|) . T)) 
 ((($) . T) ((#0=(-1271 |#2| |#3| |#4|)) . T) (((-419 (-576))) |has| #0# (-38 (-419 (-576))))) 
 ((((-1193 |#1| |#2| |#3|)) |has| |#1| (-374))) 
-(-2838 (-12 (|has| |#1| (-317)) (|has| |#1| (-925))) (|has| |#1| (-374)) (|has| |#1| (-360))) 
-(-2838 (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067))) 
+(-3766 (-12 (|has| |#1| (-317)) (|has| |#1| (-925))) (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-3766 (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067))) 
 ((((-576)) |has| |#1| (-651 (-576))) ((|#1|) . T)) 
 (((|#1| |#2|) . T)) 
 ((((-874)) . T)) 
@@ -2788,29 +2788,29 @@
 (((|#2|) . T)) 
 (((|#4| |#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1118)))) 
 (((|#2|) . T)) 
-(((|#2|) -2838 (|has| |#2| (-6 (-4463 "*"))) (|has| |#2| (-174)))) 
-(-2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
-(-2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+(((|#2|) -3766 (|has| |#2| (-6 (-4463 "*"))) (|has| |#2| (-174)))) 
+(-3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
+(-3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
 (|has| |#2| (-925)) 
 (|has| |#1| (-925)) 
 ((($) -12 (|has| |#2| (-239)) (|has| |#2| (-1067)))) 
 (((|#2|) |has| |#2| (-174))) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 ((((-1278 |#1| |#2| |#3|)) |has| |#1| (-374))) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 ((((-548)) . T) (((-576)) . T) (((-905 (-576))) . T) (((-390)) . T) (((-227)) . T)) 
 (((|#1| |#2|) . T)) 
 ((($) . T) (((-576)) . T)) 
-((((-2 (|:| -3672 (-1177)) (|:| -1918 (-52)))) . T)) 
+((((-2 (|:| -4169 (-1177)) (|:| -3180 (-52)))) . T)) 
 (((|#1|) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 ((((-874)) . T)) 
 (((|#1| |#2|) . T)) 
 ((($) . T) (((-576)) . T)) 
 (((|#1| (-419 (-576))) . T)) 
 (((|#1|) . T)) 
-(-2838 (|has| |#1| (-300)) (|has| |#1| (-374))) 
+(-3766 (|has| |#1| (-300)) (|has| |#1| (-374))) 
 ((((-145)) . T)) 
 ((((-576)) |has| #0=(-419 |#2|) (-651 (-576))) ((#0#) . T) (((-419 (-576))) . T) (($) . T)) 
 (|has| |#1| (-860)) 
@@ -2826,7 +2826,7 @@
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 ((((-189)) . T) (((-874)) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 (((|#2| |#2|) . T) ((|#1| |#1|) . T)) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
@@ -2841,10 +2841,10 @@
 ((((-1177)) . T)) 
 ((((-1195) |#1|) |has| |#1| (-526 (-1195) |#1|)) ((|#1| |#1|) |has| |#1| (-319 |#1|))) 
 (|has| |#1| (-862)) 
-((((-2 (|:| -3672 (-1177)) (|:| -1918 |#1|))) . T)) 
+((((-2 (|:| -4169 (-1177)) (|:| -3180 |#1|))) . T)) 
 ((((-874)) . T)) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-((($) -2838 (-12 (|has| (-1193 |#1| |#2| |#3|) (-239)) (|has| |#1| (-374))) (|has| |#1| (-15 * (|#1| (-576) |#1|))))) 
+((($) -3766 (-12 (|has| (-1193 |#1| |#2| |#3|) (-239)) (|has| |#1| (-374))) (|has| |#1| (-15 * (|#1| (-576) |#1|))))) 
 ((($) |has| |#1| (-15 * (|#1| (-419 (-576)) |#1|)))) 
 ((((-874)) . T)) 
 (((|#2|) |has| |#2| (-374))) 
@@ -2858,13 +2858,13 @@
 (|has| |#4| (-1067)) 
 (|has| |#3| (-1067)) 
 ((((-1195) (-52)) . T)) 
-(-2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
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+(-3766 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-(-2838 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067))) 
-(-2838 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1067))) 
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+(-3766 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1067))) 
 (|has| |#1| (-925)) 
 ((((-926 |#1|)) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
 (|has| |#1| (-925)) 
@@ -2882,12 +2882,12 @@
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
 (|has| |#1| (-832)) 
 (((#0=(-926 |#1|) #0#) . T) (($ $) . T) ((#1=(-419 (-576)) #1#) . T)) 
 ((((-419 |#2|)) . T)) 
 (|has| |#1| (-860)) 
-((((-1222 |#1|)) . T) (((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
+((((-1222 |#1|)) . T) (((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
 (((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) . T) ((#1=(-576) #1#) . T) (($ $) . T)) 
 ((((-926 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#2|) |has| |#2| (-1067)) (((-576)) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1067)))) 
@@ -2904,12 +2904,12 @@
 (((|#2|) |has| |#2| (-174))) 
 (((|#1|) . T)) 
 (((|#2|) . T)) 
-(-2838 (|has| |#1| (-146)) (|has| |#1| (-379))) 
-(-2838 (|has| |#1| (-146)) (|has| |#1| (-379))) 
-(-2838 (|has| |#1| (-146)) (|has| |#1| (-379))) 
-((((-2 (|:| -3672 (-1195)) (|:| -1918 (-52)))) . T)) 
+(-3766 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-3766 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-3766 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+((((-2 (|:| -4169 (-1195)) (|:| -3180 (-52)))) . T)) 
 ((((-576) |#3|) . T)) 
-(((#0=(-52)) . T) (((-2 (|:| -3672 (-1195)) (|:| -1918 #0#))) . T)) 
+(((#0=(-52)) . T) (((-2 (|:| -4169 (-1195)) (|:| -3180 #0#))) . T)) 
 (|has| |#1| (-360)) 
 ((((-576)) . T)) 
 ((((-874)) . T)) 
@@ -2917,17 +2917,17 @@
 (((#0=(-1272 |#1| |#2| |#3| |#4|) $) |has| #0# (-296 #0# #0#))) 
 (|has| |#1| (-374)) 
 (-12 (|has| |#2| (-239)) (|has| |#2| (-1067))) 
-(((|#1|) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1067))) (($) -2838 (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067))) (((-576)) -2838 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067)))) 
+(((|#1|) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1067))) (($) -3766 (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067))) (((-576)) -3766 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067)))) 
 (((#0=(-1100) |#1|) . T) ((#0# $) . T) (($ $) . T)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-360))) 
 (((#0=(-419 (-576)) #0#) . T) ((#1=(-711) #1#) . T) (($ $) . T)) 
 ((((-326 |#1|)) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) |has| |#1| (-374))) 
 ((((-874)) . T)) 
 (|has| |#1| (-1118)) 
 (((|#1|) . T)) 
-(((|#1|) -2838 (|has| |#2| (-378 |#1|)) (|has| |#2| (-429 |#1|)))) 
-(((|#1|) -2838 (|has| |#2| (-378 |#1|)) (|has| |#2| (-429 |#1|)))) 
+(((|#1|) -3766 (|has| |#2| (-378 |#1|)) (|has| |#2| (-429 |#1|)))) 
+(((|#1|) -3766 (|has| |#2| (-378 |#1|)) (|has| |#2| (-429 |#1|)))) 
 (((|#2|) . T)) 
 ((((-419 (-576))) . T) (((-711)) . T) (($) . T)) 
 ((((-591)) . T)) 
@@ -2954,7 +2954,7 @@
 ((($) |has| |#1| (-239))) 
 ((((-576)) . T)) 
 (((|#2|) . T) (((-419 (-576))) |has| |#1| (-1056 (-419 (-576)))) ((|#1|) . T) (($) . T) (((-576)) . T)) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
 (((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) 
 (((|#1| |#2|) . T)) 
 ((($) . T)) 
@@ -3001,7 +3001,7 @@
 (|has| |#2| (-1040)) 
 ((($) . T)) 
 (|has| |#1| (-925)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 ((($) . T)) 
 (((|#2|) . T)) 
 (((|#1|) . T)) 
@@ -3010,10 +3010,10 @@
 (|has| |#1| (-374)) 
 ((((-926 |#1|)) . T)) 
 ((($) . T) (((-576)) . T) ((|#1|) . T) (((-419 (-576))) . T)) 
-((($) -2838 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((($) |has| |#1| (-860)) (((-576)) -2838 (|has| |#1| (-21)) (|has| |#1| (-860)))) 
+((($) -3766 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) |has| |#1| (-860)) (((-576)) -3766 (|has| |#1| (-21)) (|has| |#1| (-860)))) 
 ((($ $) . T) ((#0=(-419 (-576)) #0#) . T)) 
-(-2838 (|has| |#1| (-379)) (|has| |#1| (-862))) 
+(-3766 (|has| |#1| (-379)) (|has| |#1| (-862))) 
 (((|#1|) . T)) 
 ((((-783)) . T)) 
 ((((-874)) . T)) 
@@ -3025,17 +3025,17 @@
 ((((-576)) . T) (($) . T)) 
 ((((-576)) . T) (($) . T)) 
 ((((-783) |#1|) . T)) 
-(((|#2| (-246 (-2882 |#1|) (-783))) . T)) 
+(((|#2| (-246 (-2872 |#1|) (-783))) . T)) 
 (((|#1| (-543 |#3|)) . T)) 
 ((((-419 (-576))) . T)) 
-(-2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+(-3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
 ((((-1177)) . T) (((-874)) . T)) 
-(((#0=(-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) #0#) |has| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (-319 (-2 (|:| -3672 (-1195)) (|:| -1918 (-52)))))) 
+(((#0=(-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) #0#) |has| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (-319 (-2 (|:| -4169 (-1195)) (|:| -3180 (-52)))))) 
 ((((-1177)) . T)) 
 (|has| |#1| (-925)) 
 (|has| |#2| (-374)) 
 (((|#1|) . T) (($) . T) (((-576)) . T)) 
-(-2838 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1067))) 
+(-3766 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1067))) 
 ((((-171 (-390))) . T) (((-227)) . T) (((-390)) . T)) 
 ((((-874)) . T)) 
 (((|#1|) . T)) 
@@ -3052,11 +3052,11 @@
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (|has| |#1| (-38 (-419 (-576)))) 
-(-2838 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-3766 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (-12 (|has| |#1| (-557)) (|has| |#1| (-840))) 
 ((((-874)) . T)) 
-((((-1195)) -2838 (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-914 (-1195)))) (-12 (|has| |#1| (-374)) (|has| |#2| (-914 (-1195)))))) 
+((((-1195)) -3766 (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-914 (-1195)))) (-12 (|has| |#1| (-374)) (|has| |#2| (-914 (-1195)))))) 
 (|has| |#1| (-374)) 
 ((((-1195)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-914 (-1195))))) 
 (|has| |#1| (-374)) 
@@ -3069,11 +3069,11 @@
 ((((-576) |#1|) . T)) 
 ((((-1195)) |has| |#1| (-914 (-1195)))) 
 (((|#1|) . T)) 
-(-2838 (-12 (|has| |#1| (-239)) (|has| |#1| (-374))) (|has| |#1| (-360))) 
+(-3766 (-12 (|has| |#1| (-239)) (|has| |#1| (-374))) (|has| |#1| (-360))) 
 (((|#2|) |has| |#1| (-374))) 
 (((|#2|) |has| |#1| (-374))) 
 ((((-576)) . T) (($) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 (((|#1|) . T)) 
 (((|#1|) |has| |#1| (-174))) 
 ((($) . T)) 
@@ -3104,11 +3104,11 @@
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 (((|#2|) |has| |#1| (-374))) 
 ((((-390)) -12 (|has| |#1| (-374)) (|has| |#2| (-899 (-390)))) (((-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-899 (-576))))) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-568))) 
 (|has| |#1| (-374)) 
 (((|#1|) . T)) 
 ((($) . T) (((-576)) . T) ((|#2|) . T)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-568))) 
 (((|#3|) . T)) 
 ((((-1177)) . T) (((-518)) . T) (((-227)) . T) (((-576)) . T)) 
 (((|#1|) . T)) 
@@ -3116,23 +3116,23 @@
 (|has| |#1| (-568)) 
 (((|#4| |#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1118)))) 
 ((((-419 |#2|)) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
-(-2838 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1067))) 
+(-3766 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1067))) 
 (((|#2|) . T)) 
 (((|#2|) . T)) 
 (|has| |#2| (-1067)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
-((((-2 (|:| -3672 (-1177)) (|:| -1918 |#1|))) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
+((((-2 (|:| -4169 (-1177)) (|:| -3180 |#1|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
 (((|#1| |#2|) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
-(-2838 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-3766 (|has| |#1| (-146)) (|has| |#1| (-379))) 
 ((($) . T)) 
 ((((-1177) |#1|) . T)) 
 (|has| |#1| (-148)) 
-(-2838 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-3766 (|has| |#1| (-146)) (|has| |#1| (-379))) 
 (|has| |#1| (-148)) 
-(-2838 (|has| |#1| (-146)) (|has| |#1| (-379))) 
+(-3766 (|has| |#1| (-146)) (|has| |#1| (-379))) 
 ((($) . T)) 
 (|has| |#1| (-148)) 
 ((((-593 |#1|)) . T)) 
@@ -3146,7 +3146,7 @@
 ((((-419 (-576))) |has| |#2| (-1056 (-576))) (((-576)) |has| |#2| (-1056 (-576))) (((-1195)) |has| |#2| (-1056 (-1195))) ((|#2|) . T)) 
 (((#0=(-419 |#2|) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) 
 (((|#1|) . T)) 
-(-2838 (|has| |#1| (-146)) (|has| |#1| (-360))) 
+(-3766 (|has| |#1| (-146)) (|has| |#1| (-360))) 
 (|has| |#1| (-148)) 
 ((((-874)) . T)) 
 ((($) . T)) 
@@ -3174,7 +3174,7 @@
 ((((-926 |#1|)) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
 ((((-874)) . T)) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
 ((((-115)) . T) ((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
@@ -3198,7 +3198,7 @@
 ((((-1195)) |has| (-419 |#2|) (-914 (-1195)))) 
 ((((-874)) . T)) 
 ((((-576)) . T)) 
-(-2838 (|has| |#2| (-805)) (|has| |#2| (-862))) 
+(-3766 (|has| |#2| (-805)) (|has| |#2| (-862))) 
 ((((-171 (-390))) . T) (((-227)) . T) (((-390)) . T)) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
@@ -3210,10 +3210,10 @@
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-374)) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
 ((((-576) $) . T) (((-656 (-576)) $) . T)) 
-(-2838 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067)) (|has| |#1| (-1130)) (|has| |#1| (-1118))) 
+(-3766 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-914 (-1195))) (|has| |#1| (-1067)) (|has| |#1| (-1130)) (|has| |#1| (-1118))) 
 (|has| |#1| (-1170)) 
 ((((-926 |#1|)) . T) (((-419 (-576))) . T) (($) . T)) 
 ((($) . T)) 
@@ -3233,10 +3233,10 @@
 ((((-576) |#1|) . T) (((-1253 (-576)) $) . T)) 
 (((|#1| |#2|) . T)) 
 ((((-1195) |#1|) . T)) 
-(((|#1|) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)))) 
+(((|#1|) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)))) 
 (((|#1|) . T)) 
 ((($ (-1195)) . T)) 
-(((|#1|) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1067)))) 
+(((|#1|) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1067)))) 
 ((((-576)) . T) (((-419 (-576))) . T)) 
 (((|#1|) . T)) 
 (|has| |#1| (-568)) 
@@ -3246,15 +3246,15 @@
 ((((-419 |#2|)) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-568))) 
 (|has| |#1| (-374)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-568))) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-568)) 
 ((($) . T)) 
 (|has| |#1| (-1118)) 
 ((((-792 |#1| (-876 |#2|))) |has| (-792 |#1| (-876 |#2|)) (-319 (-792 |#1| (-876 |#2|))))) 
-(-2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
+(-3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
 (((|#1|) . T)) 
 (((|#2| |#3|) . T)) 
 (((|#1|) . T)) 
@@ -3267,13 +3267,13 @@
 ((($) -12 (|has| |#2| (-239)) (|has| |#2| (-1067)))) 
 ((((-593 |#1|)) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
 ((((-576)) . T) (((-419 (-576))) . T) (($) . T)) 
-((((-2 (|:| -3672 (-1177)) (|:| -1918 (-52)))) . T)) 
+((((-2 (|:| -4169 (-1177)) (|:| -3180 (-52)))) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T) (((-576)) . T)) 
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
-(-2838 (|has| |#3| (-805)) (|has| |#3| (-862))) 
+(-3766 (|has| |#3| (-805)) (|has| |#3| (-862))) 
 ((((-874)) . T)) 
 ((((-1138)) . T) (((-874)) . T)) 
 ((((-548)) . T) (((-874)) . T)) 
@@ -3284,12 +3284,12 @@
 ((((-576)) . T)) 
 (((|#3|) . T)) 
 ((((-874)) . T)) 
-(-2838 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) 
-((((-576)) . T) (((-419 (-576))) -2838 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1056 (-419 (-576))))) ((|#2|) . T) (($) -2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) (((-876 |#1|)) . T)) 
-((((-1143 |#1| |#2|)) . T) ((|#2|) . T) (($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576))))) (((-576)) . T)) 
-((((-1191 |#1|)) . T) (((-576)) . T) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) (((-1100)) . T) ((|#1|) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576)))))) 
-(-2838 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1067))) 
-((((-1143 |#1| (-1195))) . T) (((-576)) . T) (((-1106 (-1195))) . T) (($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576))))) (((-1195)) . T)) 
+(-3766 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) 
+((((-576)) . T) (((-419 (-576))) -3766 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1056 (-419 (-576))))) ((|#2|) . T) (($) -3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) (((-876 |#1|)) . T)) 
+((((-1143 |#1| |#2|)) . T) ((|#2|) . T) (($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576))))) (((-576)) . T)) 
+((((-1191 |#1|)) . T) (((-576)) . T) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) (((-1100)) . T) ((|#1|) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576)))))) 
+(-3766 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1067))) 
+((((-1143 |#1| (-1195))) . T) (((-576)) . T) (((-1106 (-1195))) . T) (($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576))))) (((-1195)) . T)) 
 (((#0=(-593 |#1|) #0#) . T) (($ $) . T) ((#1=(-419 (-576)) #1#) . T)) 
 ((($ $) . T) ((#0=(-419 (-576)) #0#) . T)) 
 (((|#1|) |has| |#1| (-174))) 
@@ -3307,7 +3307,7 @@
 (((|#1|) . T)) 
 ((((-874)) . T)) 
 ((((-304 |#3|)) . T)) 
-(((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576)))) ((|#2| |#2|) . T) (($ $) -2838 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
+(((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576)))) ((|#2| |#2|) . T) (($ $) -3766 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
 (((|#2| |#2|) . T) ((|#6| |#6|) . T)) 
 (((|#1|) . T)) 
 ((($) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) 
@@ -3315,21 +3315,21 @@
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) 
-((($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
-((($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
+((($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
+((($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
 (((|#2|) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -2838 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -3766 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
 (((|#2|) . T) ((|#6|) . T)) 
-((($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
+((($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
 ((((-874)) . T)) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (|has| |#2| (-925)) 
 (|has| |#1| (-925)) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((((-874)) . T)) 
 (((|#1|) . T)) 
-((((-2 (|:| -3672 (-1177)) (|:| -1918 |#1|))) . T)) 
+((((-2 (|:| -4169 (-1177)) (|:| -3180 |#1|))) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
@@ -3348,10 +3348,10 @@
 (((#0=(-419 (-576)) #0#) . T)) 
 ((((-419 (-576))) . T)) 
 (((|#1|) |has| |#1| (-174))) 
-(-2838 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067))) 
+(-3766 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-(-2838 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1067))) 
+(-3766 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1067))) 
 (((|#1|) . T)) 
 ((((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 ((((-548)) . T)) 
@@ -3371,14 +3371,14 @@
 ((($ $) . T) ((#0=(-419 (-576)) #0#) . T)) 
 ((((-1195)) |has| |#1| (-914 (-1195)))) 
 ((((-926 |#1|)) . T) (((-419 (-576))) . T) (($) . T)) 
-((($) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) . T)) 
-(((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576)))) ((|#1| |#1|) . T) (($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
+((($) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) . T)) 
+(((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576)))) ((|#1| |#1|) . T) (($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
 ((((-419 |#2|)) . T) (((-419 (-576))) . T) (($) . T)) 
 ((($) . T) (((-419 (-576))) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 (((|#2|) |has| |#2| (-1067)) (((-576)) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1067)))) 
 ((((-419 |#2|)) . T) (((-419 (-576))) . T) (($) . T)) 
-((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2838 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
+((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -3766 (|has| |#1| (-174)) (|has| |#1| (-568)))) 
 (|has| |#1| (-568)) 
 (((|#1|) |has| |#1| (-374))) 
 ((((-576)) . T)) 
@@ -3403,11 +3403,11 @@
 ((($) |has| |#1| (-379))) 
 (|has| |#2| (-832)) 
 (|has| |#2| (-832)) 
-((((-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-651 (-576)))) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2|) |has| |#1| (-374)) (($) . T) ((|#1|) . T)) 
+((((-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-651 (-576)))) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2|) |has| |#1| (-374)) (($) . T) ((|#1|) . T)) 
 ((($ (-1195)) |has| |#1| (-914 (-1195)))) 
 (((|#1|) . T) (((-576)) |has| |#1| (-1056 (-576))) (((-419 (-576))) |has| |#1| (-1056 (-419 (-576))))) 
-((($) -2838 (-12 (|has| |#1| (-239)) (|has| |#1| (-374))) (|has| |#1| (-360)))) 
-(((|#1|) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) . T)) 
+((($) -3766 (-12 (|has| |#1| (-239)) (|has| |#1| (-374))) (|has| |#1| (-360)))) 
+(((|#1|) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) . T)) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 ((((-576)) |has| |#1| (-899 (-576))) (((-390)) |has| |#1| (-899 (-390)))) 
 (((|#1|) . T)) 
@@ -3422,7 +3422,7 @@
 (((|#1|) . T)) 
 (((|#1|) |has| |#1| (-174))) 
 (((|#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1118)))) 
-(((|#2|) -2838 (|has| |#2| (-6 (-4463 "*"))) (|has| |#2| (-174)))) 
+(((|#2|) -3766 (|has| |#2| (-6 (-4463 "*"))) (|has| |#2| (-174)))) 
 (((|#2|) . T)) 
 (|has| |#1| (-374)) 
 (((|#2|) . T)) 
@@ -3436,12 +3436,12 @@
 (((|#2| (-783)) . T)) 
 ((((-1195)) . T)) 
 ((((-882 |#1|)) . T)) 
-(-2838 (|has| |#3| (-21)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1067))) 
-(-2838 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-805)) (|has| |#3| (-1067))) 
+(-3766 (|has| |#3| (-21)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1067))) 
+(-3766 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-805)) (|has| |#3| (-1067))) 
 ((((-874)) . T)) 
 (((|#1|) . T)) 
-(-2838 (|has| |#2| (-805)) (|has| |#2| (-862))) 
-(-2838 (-12 (|has| |#1| (-805)) (|has| |#2| (-805))) (-12 (|has| |#1| (-862)) (|has| |#2| (-862)))) 
+(-3766 (|has| |#2| (-805)) (|has| |#2| (-862))) 
+(-3766 (-12 (|has| |#1| (-805)) (|has| |#2| (-805))) (-12 (|has| |#1| (-862)) (|has| |#2| (-862)))) 
 ((((-882 |#1|)) . T)) 
 (((|#1|) . T)) 
 (|has| |#1| (-379)) 
@@ -3468,7 +3468,7 @@
 (((|#1|) . T)) 
 ((((-874)) . T)) 
 (|has| |#2| (-925)) 
-((((-2 (|:| -3672 (-1195)) (|:| -1918 (-52)))) . T)) 
+((((-2 (|:| -4169 (-1195)) (|:| -3180 (-52)))) . T)) 
 ((((-548)) |has| |#2| (-626 (-548))) (((-905 (-390))) |has| |#2| (-626 (-905 (-390)))) (((-905 (-576))) |has| |#2| (-626 (-905 (-576))))) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
@@ -3497,7 +3497,7 @@
 ((((-656 |#1|)) . T)) 
 ((($) |has| |#1| (-15 * (|#1| (-419 (-576)) |#1|)))) 
 ((($) . T) (((-576)) . T) (((-1272 |#1| |#2| |#3| |#4|)) . T) (((-419 (-576))) . T)) 
-((((-576)) -2838 (|has| |#1| (-21)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1067))) (($) -2838 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1067))) ((|#1|) -2838 (|has| |#1| (-174)) (|has| |#1| (-1067))) (((-419 (-576))) |has| |#1| (-568))) 
+((((-576)) -3766 (|has| |#1| (-21)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1067))) (($) -3766 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1067))) ((|#1|) -3766 (|has| |#1| (-174)) (|has| |#1| (-1067))) (((-419 (-576))) |has| |#1| (-568))) 
 ((((-1200)) . T)) 
 ((((-576)) . T) (((-419 (-576))) . T)) 
 ((($ (-1195)) |has| |#1| (-914 (-1195)))) 
@@ -3515,12 +3515,12 @@
 ((((-874)) . T)) 
 (((|#1|) . T)) 
 (|has| |#1| (-1118)) 
-(((|#2| (-494 (-2882 |#1|) (-783))) . T)) 
+(((|#2| (-494 (-2872 |#1|) (-783))) . T)) 
 ((((-576) |#1|) . T)) 
 ((((-1177)) . T) (((-874)) . T)) 
 (((|#2| |#2|) . T)) 
 (((|#1| (-543 (-1195))) . T)) 
-(-2838 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1067))) 
+(-3766 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1067))) 
 ((((-576)) . T)) 
 (((|#2|) . T)) 
 ((($) -12 (|has| |#2| (-239)) (|has| |#2| (-1067)))) 
@@ -3532,9 +3532,9 @@
 ((($) . T) (((-419 (-576))) . T)) 
 ((($) . T)) 
 ((($) . T)) 
-(-2838 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
+(-3766 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
 (((|#1|) . T)) 
-((($) -2838 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((((-874)) . T)) 
 ((((-145)) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T)) 
@@ -3567,7 +3567,7 @@
 (|has| |#1| (-1118)) 
 (|has| |#1| (-1118)) 
 (|has| |#2| (-374)) 
-(((|#1|) . T) (($) -2838 (|has| |#1| (-300)) (|has| |#1| (-374))) (((-419 (-576))) |has| |#1| (-374))) 
+(((|#1|) . T) (($) -3766 (|has| |#1| (-300)) (|has| |#1| (-374))) (((-419 (-576))) |has| |#1| (-374))) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-38 (-419 (-576)))) 
@@ -3578,32 +3578,32 @@
 ((((-1195)) -12 (|has| |#3| (-914 (-1195))) (|has| |#3| (-1067)))) 
 (((|#1|) . T)) 
 (|has| |#1| (-239)) 
-(((|#2| (-246 (-2882 |#1|) (-783))) . T)) 
+(((|#2| (-246 (-2872 |#1|) (-783))) . T)) 
 (((|#1| (-543 |#3|)) . T)) 
 (|has| |#1| (-379)) 
 (|has| |#1| (-379)) 
 (|has| |#1| (-379)) 
 (((|#1|) . T) (($) . T)) 
 (((|#1| (-543 |#2|)) . T)) 
-(-2838 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1067))) 
+(-3766 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1067))) 
 (((|#1| (-783)) . T)) 
 (|has| |#1| (-568)) 
-(-2838 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067))) 
-(-2838 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1067))) 
+(-3766 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1067))) 
+(-3766 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1067))) 
 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) 
 ((((-874)) . T)) 
 ((((-576)) . T) (((-419 (-576))) . T) (($) . T)) 
-(-2838 (-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)))) 
-(-2838 (|has| |#3| (-21)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-805)) (|has| |#3| (-1067))) 
+(-3766 (-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)))) 
+(-3766 (|has| |#3| (-21)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-805)) (|has| |#3| (-1067))) 
 (|has| |#2| (-1067)) 
 (((|#1|) |has| |#1| (-174))) 
 (((|#4|) |has| |#4| (-1067))) 
 (((|#3|) |has| |#3| (-1067))) 
 (-12 (|has| |#1| (-374)) (|has| |#2| (-832))) 
 (-12 (|has| |#1| (-374)) (|has| |#2| (-832))) 
-((((-576)) . T) (((-419 (-576))) -2838 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1056 (-419 (-576))))) ((|#2|) . T) (($) -2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) (((-876 |#1|)) . T)) 
-((((-1143 |#1| |#2|)) . T) (((-576)) . T) ((|#3|) . T) (($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576))))) ((|#2|) . T)) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
+((((-576)) . T) (((-419 (-576))) -3766 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1056 (-419 (-576))))) ((|#2|) . T) (($) -3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) (((-876 |#1|)) . T)) 
+((((-1143 |#1| |#2|)) . T) (((-576)) . T) ((|#3|) . T) (($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576))))) ((|#2|) . T)) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
 (((|#1|) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
@@ -3623,16 +3623,16 @@
 (|has| |#2| (-374)) 
 (((|#2|) |has| |#2| (-1067)) (((-576)) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1067)))) 
 (((|#1|) . T)) 
-(((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576)))) ((|#2| |#2|) . T) (($ $) -2838 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
-((($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
+(((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576)))) ((|#2| |#2|) . T) (($ $) -3766 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
+((($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1| |#1|) . T) (($ $) . T) ((#0=(-419 (-576)) #0#) . T)) 
 (((|#1| |#1|) . T) (($ $) . T) ((#0=(-419 (-576)) #0#) . T)) 
 (((|#1| |#1|) . T) (($ $) . T) ((#0=(-419 (-576)) #0#) . T)) 
 ((((-1195)) |has| |#1| (-1067))) 
 (|has| |#2| (-374)) 
 (((|#2| |#2|) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -2838 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (($) -3766 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
 (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) 
@@ -3644,12 +3644,12 @@
 (((|#1|) . T)) 
 (|has| |#2| (-832)) 
 (|has| |#2| (-832)) 
-((($) -2838 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) 
 (|has| |#1| (-374)) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 (((|#1|) |has| |#2| (-429 |#1|))) 
 (((|#1|) |has| |#2| (-429 |#1|))) 
 ((((-1177)) . T)) 
@@ -3657,7 +3657,7 @@
 ((((-874)) . T) (((-1200)) . T)) 
 ((((-874)) . T) (((-1200)) . T)) 
 ((((-874)) . T) (((-1200)) . T)) 
-((((-656 |#1|)) . T) (((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
+((((-656 |#1|)) . T) (((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
 ((((-1200)) . T)) 
 ((((-1200)) . T)) 
 ((((-1200)) . T)) 
@@ -3672,19 +3672,19 @@
 ((((-1200)) . T)) 
 ((((-874)) . T) (((-1200)) . T)) 
 ((((-1200)) . T)) 
-((((-2 (|:| -3672 (-1195)) (|:| -1918 (-52)))) |has| (-2 (|:| -3672 (-1195)) (|:| -1918 (-52))) (-319 (-2 (|:| -3672 (-1195)) (|:| -1918 (-52)))))) 
-(-2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
+((((-2 (|:| -4169 (-1195)) (|:| -3180 (-52)))) |has| (-2 (|:| -4169 (-1195)) (|:| -3180 (-52))) (-319 (-2 (|:| -4169 (-1195)) (|:| -3180 (-52)))))) 
+(-3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
 ((((-576) |#1|) . T)) 
 ((((-576) |#1|) . T)) 
 ((((-576) |#1|) . T)) 
-(-2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+(-3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
 ((((-576) |#1|) . T)) 
 (((|#1|) . T)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
-(-2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
-((($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-576)) . T) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+(-3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+((($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-576)) . T) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) 
 ((((-1195)) |has| |#1| (-914 (-1195))) (((-830 (-1195))) . T)) 
-(-2838 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-805)) (|has| |#3| (-1067))) 
+(-3766 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-805)) (|has| |#3| (-1067))) 
 ((((-831 |#1|)) . T)) 
 (((|#1| |#2|) . T)) 
 ((((-874)) . T)) 
@@ -3697,21 +3697,21 @@
 (((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-568)) (((-419 (-576))) |has| |#1| (-568))) 
 (((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) 
 (|has| |#1| (-374)) 
-(-2838 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (-12 (|has| |#1| (-374)) (|has| |#2| (-239)))) 
+(-3766 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (-12 (|has| |#1| (-374)) (|has| |#2| (-239)))) 
 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) 
 (|has| |#1| (-374)) 
 (((|#1|) . T)) 
-(((#0=(-419 (-576)) #0#) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1| |#1|) . T)) 
+(((#0=(-419 (-576)) #0#) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1| |#1|) . T)) 
 ((((-1253 (-576)) $) . T) (((-576) |#1|) . T)) 
 ((((-326 |#1|)) . T)) 
 ((((-926 |#1|)) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) 
 (((#0=(-711) (-1191 #0#)) . T)) 
-((((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1|) . T)) 
+((((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1|) . T)) 
 (((|#1|) . T) (($) . T) (((-576)) . T) (((-419 (-576))) . T)) 
 (((|#1| |#2| |#3| |#4|) . T)) 
 (|has| |#1| (-860)) 
-(((|#2|) . T) (((-1195)) -12 (|has| |#1| (-374)) (|has| |#2| (-1056 (-1195)))) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-576)) . T) ((|#1|) |has| |#1| (-174))) 
-(((|#2|) . T) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-576)) . T) (($) -2838 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
+(((|#2|) . T) (((-1195)) -12 (|has| |#1| (-374)) (|has| |#2| (-1056 (-1195)))) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-576)) . T) ((|#1|) |has| |#1| (-174))) 
+(((|#2|) . T) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-576)) . T) (($) -3766 (|has| |#1| (-374)) (|has| |#1| (-568)))) 
 ((($ $) . T) ((#0=(-876 |#1|) $) . T) ((#0# |#2|) . T)) 
 ((((-1143 |#1| (-1195))) . T) (((-830 (-1195))) . T) ((|#1|) . T) (((-576)) |has| |#1| (-1056 (-576))) (((-419 (-576))) |has| |#1| (-1056 (-419 (-576)))) (((-1195)) . T)) 
 ((($) . T)) 
@@ -3729,12 +3729,12 @@
 (((#0=(-1272 |#1| |#2| |#3| |#4|)) |has| #0# (-319 #0#))) 
 ((($) . T)) 
 (((|#1|) . T)) 
-((($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2| |#2|) |has| |#1| (-374)) ((|#1| |#1|) . T)) 
-(((|#1| |#1|) . T) (($ $) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
+((($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2| |#2|) |has| |#1| (-374)) ((|#1| |#1|) . T)) 
+(((|#1| |#1|) . T) (($ $) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
 (|has| |#2| (-239)) 
 (|has| $ (-148)) 
 ((((-874)) . T)) 
-((($) . T) (((-419 (-576))) -2838 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) 
+((($) . T) (((-419 (-576))) -3766 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) 
 ((((-874)) . T)) 
 (|has| |#1| (-860)) 
 ((((-130)) . T)) 
@@ -3751,24 +3751,24 @@
 ((((-874)) |has| |#1| (-1118))) 
 (((|#4|) . T)) 
 (|has| |#1| (-568)) 
-((($) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2|) |has| |#1| (-374)) ((|#1|) . T)) 
-((((-1195)) -2838 (-12 (|has| (-1278 |#1| |#2| |#3|) (-914 (-1195))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-914 (-1195)))))) 
-(((|#1|) . T) (($) -2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2838 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
+((($) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2|) |has| |#1| (-374)) ((|#1|) . T)) 
+((((-1195)) -3766 (-12 (|has| (-1278 |#1| |#2| |#3|) (-914 (-1195))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-914 (-1195)))))) 
+(((|#1|) . T) (($) -3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -3766 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) 
 ((((-1195)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-914 (-1195))))) 
 ((((-1253 (-576)) $) . T) (((-576) |#1|) . T)) 
-(-2838 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
+(-3766 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
 ((((-1195)) -12 (|has| |#1| (-15 * (|#1| (-783) |#1|))) (|has| |#1| (-914 (-1195))))) 
 (((|#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1118)))) 
 (((|#1|) . T)) 
 (((|#1| (-543 (-830 (-1195)))) . T)) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
 ((((-576)) . T) ((|#2|) . T) (($) . T) (((-419 (-576))) . T) (((-1195)) |has| |#2| (-1056 (-1195)))) 
 (((|#1|) . T)) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
 (((|#1|) . T)) 
-(-2838 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1067))) 
-(-2838 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-132)) (|has| |#2| (-132))) (-12 (|has| |#1| (-805)) (|has| |#2| (-805)))) 
+(-3766 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1067))) 
+(-3766 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-132)) (|has| |#2| (-132))) (-12 (|has| |#1| (-805)) (|has| |#2| (-805)))) 
 ((((-1278 |#1| |#2| |#3|)) |has| |#1| (-374))) 
 ((($) . T) (((-882 |#1|)) . T) (((-419 (-576))) . T)) 
 ((((-1278 |#1| |#2| |#3|)) |has| |#1| (-374))) 
@@ -3777,15 +3777,15 @@
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-419 |#2|)) . T)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-360))) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-360))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
 (((|#1|) . T)) 
 (((|#2| |#2|) . T) ((#0=(-419 (-576)) #0#) . T) (($ $) . T)) 
 (((|#2|) . T) (((-419 (-576))) . T) (($) . T)) 
@@ -3815,21 +3815,21 @@
 (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 (((|#1| (-543 (-876 |#2|)) (-876 |#2|) (-792 |#1| (-876 |#2|))) . T)) 
 (((|#1| |#2| (-246 |#1| |#2|) (-246 |#1| |#2|)) . T)) 
-((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
+((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925)))) 
 (((|#2|) . T) ((|#6|) . T)) 
 ((($) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) 
 ((($) . T) (((-576)) . T)) 
-((($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((((-1122)) . T)) 
 ((((-874)) . T)) 
 ((((-1200)) . T) (((-874)) . T)) 
 ((((-1200)) . T) (((-874)) . T)) 
-((($) -2838 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((((-1200)) . T)) 
 ((((-1200)) . T)) 
 ((($) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) 
 ((($) . T) (((-576)) . T)) 
-((($) -2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
+((($) -3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) 
 ((((-874)) . T)) 
 (|has| |#2| (-925)) 
 ((($ $) . T) (((-1195) $) . T)) 
@@ -3843,7 +3843,7 @@
 (((|#1|) . T)) 
 (((|#1| |#1|) |has| |#1| (-174))) 
 ((((-711)) . T)) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
 ((((-1200)) . T)) 
 (((|#1|) |has| |#1| (-174))) 
 ((((-1200)) . T)) 
@@ -3861,13 +3861,13 @@
 ((((-1200)) . T)) 
 ((((-1200)) . T)) 
 ((((-1200)) . T)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-360))) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-360))) 
 ((((-1200)) . T)) 
 ((((-1200)) . T)) 
 (|has| |#1| (-374)) 
 (|has| |#1| (-374)) 
-(-2838 (|has| |#1| (-174)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-174)) (|has| |#1| (-568))) 
 (((|#1| (-576)) . T)) 
 (((|#1| (-419 (-576))) . T)) 
 (((|#1| (-783)) . T)) 
@@ -3882,17 +3882,17 @@
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-905 (-390))) . T) (((-905 (-576))) . T) (((-1195)) . T) (((-548)) . T)) 
-(-2838 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1067))) 
-(-2838 (-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)))) 
+(-3766 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1067))) 
+(-3766 (-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)))) 
 ((((-874)) . T)) 
 ((((-576)) . T)) 
 ((((-576)) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 (((|#1| |#2|) . T)) 
 (((|#1|) . T)) 
 (|has| |#2| (-1067)) 
 ((((-1195)) -12 (|has| |#2| (-914 (-1195))) (|has| |#2| (-1067)))) 
-(-2838 (-12 (|has| |#1| (-485)) (|has| |#2| (-485))) (-12 (|has| |#1| (-738)) (|has| |#2| (-738)))) 
+(-3766 (-12 (|has| |#1| (-485)) (|has| |#2| (-485))) (-12 (|has| |#1| (-738)) (|has| |#2| (-738)))) 
 (|has| |#1| (-146)) 
 (|has| |#1| (-148)) 
 (|has| |#1| (-374)) 
@@ -3923,7 +3923,7 @@
 (((|#1| |#2|) . T)) 
 ((((-576)) . T) ((|#2|) |has| |#2| (-174))) 
 ((((-115)) . T) ((|#1|) . T) (((-576)) . T)) 
-(-2838 (|has| |#1| (-360)) (|has| |#1| (-379))) 
+(-3766 (|has| |#1| (-360)) (|has| |#1| (-379))) 
 (((|#1| |#2|) . T)) 
 ((((-227)) . T)) 
 ((((-419 (-576))) . T) (($) . T) (((-576)) . T)) 
@@ -3936,7 +3936,7 @@
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-548)) |has| |#1| (-626 (-548)))) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1118)))) 
 ((((-576) $) . T) (((-656 (-576)) $) . T)) 
 ((($) . T) (((-419 (-576))) . T)) 
 (|has| |#1| (-925)) 
@@ -3948,14 +3948,14 @@
 (((|#1| |#1|) |has| |#1| (-174))) 
 (((|#1|) . T) (((-576)) . T)) 
 ((((-1200)) . T)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-568))) 
-(-2838 (|has| |#1| (-21)) (|has| |#1| (-860))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-568))) 
+(-3766 (|has| |#1| (-21)) (|has| |#1| (-860))) 
 (((|#2|) . T)) 
-(-2838 (|has| |#1| (-21)) (|has| |#1| (-860))) 
+(-3766 (|has| |#1| (-21)) (|has| |#1| (-860))) 
 (((|#1|) |has| |#1| (-174))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
-((((-874)) -2838 (-12 (|has| |#1| (-625 (-874))) (|has| |#2| (-625 (-874)))) (-12 (|has| |#1| (-1118)) (|has| |#2| (-1118))))) 
+((((-874)) -3766 (-12 (|has| |#1| (-625 (-874))) (|has| |#2| (-625 (-874)))) (-12 (|has| |#1| (-1118)) (|has| |#2| (-1118))))) 
 ((((-419 |#2|) |#3|) . T)) 
 ((((-419 (-576))) . T) (($) . T)) 
 (|has| |#1| (-38 (-419 (-576)))) 
@@ -3979,7 +3979,7 @@
 ((((-1200)) . T)) 
 ((((-576)) . T)) 
 (((|#2|) . T)) 
-((((-1195)) -2838 (-12 (|has| (-1193 |#1| |#2| |#3|) (-914 (-1195))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-914 (-1195)))))) 
+((((-1195)) -3766 (-12 (|has| (-1193 |#1| |#2| |#3|) (-914 (-1195))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-914 (-1195)))))) 
 ((((-1195)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-914 (-1195))))) 
 ((((-1195)) -12 (|has| |#1| (-15 * (|#1| (-783) |#1|))) (|has| |#1| (-914 (-1195))))) 
 (((|#1| |#1|) . T) (($ $) . T)) 
@@ -3994,11 +3994,11 @@
 ((((-1193 |#1| |#2| |#3|)) |has| |#1| (-374))) 
 ((((-1158 |#1| |#2|)) . T)) 
 ((((-1193 |#1| |#2| |#3|)) |has| |#1| (-374))) 
-(((|#2|) . T) (((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
-((((-2 (|:| -3672 (-1195)) (|:| -1918 (-52)))) . T)) 
+(((|#2|) . T) (((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
+((((-2 (|:| -4169 (-1195)) (|:| -3180 (-52)))) . T)) 
 ((($) . T)) 
 (|has| |#1| (-1040)) 
-(((|#2|) . T) (((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+(((|#2|) . T) (((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 ((($) . T)) 
 ((((-874)) . T)) 
 ((((-548)) |has| |#2| (-626 (-548))) (((-905 (-576))) |has| |#2| (-626 (-905 (-576)))) (((-905 (-390))) |has| |#2| (-626 (-905 (-390)))) (((-390)) . #0=(|has| |#2| (-1040))) (((-227)) . #0#)) 
@@ -4017,15 +4017,15 @@
 ((((-1193 |#1| |#2| |#3|)) . T)) 
 ((((-1193 |#1| |#2| |#3|)) . T) (((-1186 |#1| |#2| |#3|)) . T)) 
 ((((-874)) . T)) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
 ((((-576) |#1|) . T)) 
 ((((-1193 |#1| |#2| |#3|)) |has| |#1| (-374))) 
 (((|#1| |#2| |#3| |#4|) . T)) 
 (((|#1|) . T)) 
 (((|#2|) . T)) 
 (|has| |#2| (-374)) 
-(((|#3|) . T) ((|#2|) . T) ((|#4|) -2838 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-1067))) (($) |has| |#4| (-1067)) (((-576)) -12 (|has| |#4| (-651 (-576))) (|has| |#4| (-1067)))) 
-(((|#2|) . T) ((|#3|) -2838 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1067))) (($) |has| |#3| (-1067)) (((-576)) -12 (|has| |#3| (-651 (-576))) (|has| |#3| (-1067)))) 
+(((|#3|) . T) ((|#2|) . T) ((|#4|) -3766 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-1067))) (($) |has| |#4| (-1067)) (((-576)) -12 (|has| |#4| (-651 (-576))) (|has| |#4| (-1067)))) 
+(((|#2|) . T) ((|#3|) -3766 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1067))) (($) |has| |#3| (-1067)) (((-576)) -12 (|has| |#3| (-651 (-576))) (|has| |#3| (-1067)))) 
 (((|#1|) . T)) 
 (((|#1|) . T)) 
 ((((-117 |#1|)) . T)) 
@@ -4039,7 +4039,7 @@
 ((((-189)) . T) (((-874)) . T)) 
 ((((-874)) . T)) 
 (((|#1|) . T)) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
 ((((-130)) . T) (((-874)) . T)) 
 ((((-576) |#1|) . T) (((-1253 (-576)) $) . T)) 
 ((((-130)) . T)) 
@@ -4048,14 +4048,14 @@
 (((|#1|) . T)) 
 (((|#2| $) -12 (|has| |#1| (-374)) (|has| |#2| (-296 |#2| |#2|))) (($ $) . T) (((-576) |#1|) . T)) 
 ((($ $) . T) (((-419 (-576)) |#1|) . T)) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-925))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-925))) 
 ((($ (-1195)) |has| |#1| (-1067))) 
-(-2838 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
+(-3766 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 ((((-874)) . T)) 
 (((|#1| (-543 |#2|)) . T)) 
-((((-2 (|:| -3672 (-1195)) (|:| -1918 (-52)))) . T)) 
+((((-2 (|:| -4169 (-1195)) (|:| -3180 (-52)))) . T)) 
 ((((-576) (-130)) . T)) 
 (((|#1| (-576)) . T)) 
 (((|#1| (-419 (-576))) . T)) 
@@ -4070,8 +4070,8 @@
 ((((-1200)) . T)) 
 ((((-874)) . T) (((-1200)) . T)) 
 ((((-874)) . T) (((-1200)) . T)) 
-(-2838 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
-(-2838 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
+(-3766 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) 
+(-3766 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-925))) 
 ((($) . T)) 
 (((|#2| (-543 (-876 |#1|))) . T)) 
 ((((-1200)) . T)) 
@@ -4086,13 +4086,13 @@
 ((((-1200)) . T)) 
 ((((-874)) . T) (((-1200)) . T)) 
 ((((-1200)) . T)) 
-((((-874)) -2838 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
+((((-874)) -3766 (|has| |#1| (-625 (-874))) (|has| |#1| (-1118)))) 
 (((|#1|) . T)) 
 (((|#2| (-783)) . T)) 
 (((|#1| |#2|) . T)) 
 ((((-1177) |#1|) . T)) 
 ((((-419 |#2|)) . T)) 
-((((-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) . T)) 
+((((-2 (|:| -4169 |#1|) (|:| -3180 |#2|))) . T)) 
 (|has| |#1| (-568)) 
 (|has| |#1| (-568)) 
 ((($) . T) ((|#2|) . T)) 
@@ -4103,14 +4103,14 @@
 ((((-576)) . T) (($) . T)) 
 (((|#2| $) |has| |#2| (-296 |#2| |#2|))) 
 (((|#1| (-656 |#1|)) |has| |#1| (-860))) 
-(-2838 (|has| |#1| (-239)) (|has| |#1| (-360))) 
-(-2838 (|has| |#1| (-374)) (|has| |#1| (-360))) 
+(-3766 (|has| |#1| (-239)) (|has| |#1| (-360))) 
+(-3766 (|has| |#1| (-374)) (|has| |#1| (-360))) 
 ((((-1282 |#1|)) . T) (((-576)) . T) ((|#2|) . T) (((-419 (-576))) |has| |#2| (-1056 (-419 (-576))))) 
 (|has| |#1| (-1118)) 
 (((|#1|) . T)) 
-((((-1282 |#1|)) . T) (((-576)) . T) (($) -2838 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) (((-1100)) . T) ((|#2|) . T) (((-419 (-576))) -2838 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1056 (-419 (-576)))))) 
+((((-1282 |#1|)) . T) (((-576)) . T) (($) -3766 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-925))) (((-1100)) . T) ((|#2|) . T) (((-419 (-576))) -3766 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1056 (-419 (-576)))))) 
 ((((-419 (-576))) . T) (($) . T)) 
-((((-1017 |#1|)) . T) ((|#1|) . T) (((-576)) -2838 (|has| (-1017 |#1|) (-1056 (-576))) (|has| |#1| (-1056 (-576)))) (((-419 (-576))) -2838 (|has| (-1017 |#1|) (-1056 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576)))))) 
+((((-1017 |#1|)) . T) ((|#1|) . T) (((-576)) -3766 (|has| (-1017 |#1|) (-1056 (-576))) (|has| |#1| (-1056 (-576)))) (((-419 (-576))) -3766 (|has| (-1017 |#1|) (-1056 (-419 (-576)))) (|has| |#1| (-1056 (-419 (-576)))))) 
 ((((-926 |#1|)) . T) (((-419 (-576))) . T) (($) . T)) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
 (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) 
@@ -4127,12 +4127,12 @@
 (((|#1| |#2| |#3| |#4|) . T)) 
 (((#0=(-1158 |#1| |#2|) #0#) |has| (-1158 |#1| |#2|) (-319 (-1158 |#1| |#2|)))) 
 (((|#1|) . T)) 
-(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) ((#0=(-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) #0#) |has| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-319 (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))))) 
+(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1118))) ((#0=(-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) #0#) |has| (-2 (|:| -4169 |#1|) (|:| -3180 |#2|)) (-319 (-2 (|:| -4169 |#1|) (|:| -3180 |#2|))))) 
 (|has| |#1| (-296 |#1| |#1|)) 
 (|has| |#1| (-239)) 
 (((#0=(-117 |#1|)) |has| #0# (-319 #0#))) 
 ((($ $) . T)) 
-(-2838 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
+(-3766 (|has| |#1| (-862)) (|has| |#1| (-1118))) 
 ((($ $) . T) ((#0=(-876 |#1|) $) . T) ((#0# |#2|) . T)) 
 ((($ $) . T) ((|#2| $) |has| |#1| (-239)) ((|#2| |#1|) |has| |#1| (-239)) ((|#3| |#1|) . T) ((|#3| $) . T)) 
 (((-490 . -1118) T) ((-273 . -526) 198194) ((-253 . -526) 198137) ((-251 . -1118) 198087) ((-583 . -111) 198072) ((-543 . -23) T) ((-139 . -1118) T) ((-138 . -1118) T) ((-118 . -319) 198029) ((-134 . -1118) T) ((-1017 . -238) 198008) ((-811 . -1236) 197977) ((-491 . -526) 197769) ((-689 . -628) 197753) ((-706 . -102) T) ((-1159 . -526) 197672) ((-402 . -132) T) ((-1299 . -994) 197641) ((-1042 . -1069) 197578) ((-31 . -93) T) ((-614 . -501) 197562) ((-1042 . -652) 197499) ((-633 . -132) T) ((-831 . -858) T) ((-535 . -57) 197449) ((-531 . -526) 197382) ((-362 . -235) 197369) ((-365 . -1069) 197314) ((-59 . -526) 197247) ((-528 . -526) 197180) ((-430 . -914) 197139) ((-171 . -1067) T) ((-509 . -526) 197072) ((-508 . -526) 197005) ((-365 . -652) 196950) ((-811 . -1056) 196730) ((-711 . -38) 196695) ((-1259 . -628) 196443) ((-354 . -360) T) ((-1112 . -1111) 196427) ((-1112 . -1118) 196405) ((-867 . -628) 196302) ((-171 . -249) 196253) ((-171 . -239) 196204) ((-1112 . -1113) 196162) ((-884 . -296) 196120) ((-227 . -807) T) ((-227 . -804) T) ((-706 . -294) NIL) ((-583 . -628) 196092) ((-1168 . -1212) 196071) ((-419 . -1010) 196055) ((-48 . -1069) 196020) ((-713 . -21) T) ((-713 . -25) T) ((-48 . -652) 195985) ((-1301 . -660) 195959) ((-326 . -161) 195938) ((-326 . -144) 195917) ((-1168 . -107) 195867) ((-117 . -21) T) ((-40 . -233) 195844) ((-135 . -25) T) ((-117 . -25) T) ((-620 . -298) 195820) ((-487 . -298) 195799) ((-1259 . -336) 195776) ((-1259 . -1067) T) ((-867 . -1067) T) ((-811 . -349) 195760) ((-140 . -187) T) ((-118 . -1170) NIL) ((-91 . -625) 195692) ((-489 . -132) T) ((-1259 . -239) T) ((-1114 . -502) 195673) ((-1114 . -625) 195639) ((-1108 . -502) 195620) ((-1108 . -625) 195586) ((-605 . -1236) T) ((-1091 . -502) 195567) ((-583 . -1067) T) ((-1091 . -625) 195533) ((-674 . -729) 195517) ((-1084 . -502) 195498) ((-1084 . -625) 195464) ((-974 . -298) 195441) ((-60 . -34) T) ((-1080 . -807) T) ((-1080 . -804) T) ((-1054 . -502) 195422) ((-1037 . -502) 195403) ((-828 . -738) T) ((-743 . -47) 195368) ((-635 . -38) 195355) ((-366 . -300) T) ((-363 . -300) T) ((-355 . -300) T) ((-273 . -300) 195286) ((-253 . -300) 195217) ((-1054 . -625) 195183) ((-1042 . -102) T) ((-1037 . -625) 195149) ((-638 . -502) 195130) ((-425 . -738) T) ((-118 . -38) 195075) ((-495 . -502) 195056) ((-638 . -625) 195022) ((-425 . -485) T) ((-220 . -502) 195003) ((-495 . -625) 194969) ((-365 . -102) T) ((-220 . -625) 194935) ((-1230 . -1076) T) ((-354 . -658) 194865) ((-723 . -1076) T) ((-1193 . -47) 194842) ((-1192 . -47) 194812) ((-1186 . -47) 194789) ((-129 . -298) 194764) ((-1053 . -152) 194710) ((-926 . -300) T) ((-1144 . -47) 194682) ((-706 . -319) NIL) ((-527 . -625) 194664) ((-522 . -625) 194646) ((-520 . -625) 194628) ((-337 . -1118) 194578) ((-326 . -909) 194542) ((-323 . -909) NIL) ((-724 . -464) 194473) ((-48 . -102) T) ((-1270 . -296) 194431) ((-1249 . -296) 194331) ((-656 . -678) 194315) ((-656 . -663) 194299) ((-350 . -21) T) ((-350 . -25) T) ((-40 . -360) NIL) ((-176 . -21) T) ((-176 . -25) T) ((-656 . -384) 194283) ((-617 . -502) 194265) ((-614 . -296) 194217) ((-617 . -625) 194184) ((-400 . -102) T) ((-1138 . -144) T) ((-127 . -625) 194116) ((-886 . -1118) T) ((-670 . -423) 194100) ((-743 . -1236) T) ((-726 . -625) 194082) ((-255 . -625) 194049) ((-189 . -625) 194031) ((-163 . -625) 194013) ((-158 . -625) 193995) ((-1301 . -738) T) ((-1120 . -34) T) ((-883 . -807) NIL) ((-883 . -804) NIL) ((-870 . -862) T) ((-743 . -899) NIL) ((-1310 . -132) T) ((-392 . -132) T) ((-905 . -628) 193963) ((-920 . -102) T) ((-743 . -1056) 193839) ((-1193 . -1236) T) ((-1192 . -1236) T) ((-543 . -132) T) ((-1186 . -1236) T) ((-1105 . -423) 193823) ((-1018 . -501) 193807) ((-118 . -412) 193784) ((-1144 . -1236) T) ((-794 . -423) 193768) ((-792 . -423) 193752) ((-959 . -34) T) ((-706 . -1170) NIL) ((-258 . -660) 193572) ((-257 . -660) 193379) ((-829 . -936) 193358) ((-466 . -423) 193342) ((-614 . -19) 193326) ((-1164 . -1229) 193295) ((-1186 . -899) NIL) ((-1186 . -897) 193247) ((-614 . -616) 193224) ((-1222 . -625) 193156) ((-1194 . -625) 193138) ((-62 . -407) T) ((-1192 . -1056) 193073) ((-1186 . -1056) 193039) ((-706 . -38) 192989) ((-40 . -658) 192919) ((-486 . -296) 192877) ((-1242 . -625) 192859) ((-743 . -388) 192843) ((-850 . -625) 192825) ((-670 . -1076) T) ((-635 . -916) 192784) ((-1270 . -1020) 192750) ((-1249 . -1020) 192716) ((-256 . -1236) T) ((-1106 . -628) 192700) ((-1081 . -1212) 192675) ((-1094 . -628) 192652) ((-884 . -626) 192459) ((-884 . -625) 192441) ((-118 . -916) NIL) ((-713 . -235) 192428) ((-1208 . -501) 192365) ((-430 . -1040) 192343) ((-48 . -319) 192330) ((-1081 . -107) 192276) ((-491 . -501) 192213) ((-532 . -1236) T) ((-1186 . -349) 192165) ((-1159 . -501) 192136) ((-1186 . -388) 192088) ((-1105 . -1076) T) ((-449 . -102) T) ((-185 . -1118) T) ((-258 . -34) T) ((-257 . -34) T) ((-794 . -1076) T) ((-792 . -1076) T) ((-743 . -914) 192065) ((-466 . -1076) T) ((-59 . -501) 192049) ((-1052 . -1074) 192023) ((-531 . -501) 192007) ((-528 . -501) 191991) ((-509 . -501) 191975) ((-508 . -501) 191959) ((-251 . -526) 191892) ((-1052 . -111) 191859) ((-1193 . -914) 191772) ((-1192 . -914) 191678) ((-682 . -1130) T) ((-1186 . -914) 191511) ((-657 . -93) T) ((-1144 . -914) 191495) ((-365 . -1170) T) ((-332 . -1074) 191477) ((-31 . -502) 191458) ((-258 . -806) 191437) ((-258 . -805) 191416) ((-257 . -806) 191395) ((-257 . -805) 191374) ((-31 . -625) 191340) ((-50 . -1076) T) ((-258 . -738) 191318) ((-257 . -738) 191296) ((-1230 . -1118) T) ((-682 . -23) T) ((-593 . -1076) T) ((-530 . -1076) T) ((-390 . -1074) 191261) ((-332 . -111) 191236) ((-73 . -394) T) ((-73 . -407) T) ((-1042 . -38) 191173) ((-706 . -412) 191155) ((-99 . -102) T) ((-723 . -1118) T) ((-1315 . -1069) 191142) ((-1021 . -146) 191114) ((-1021 . -148) 191086) ((-882 . -658) 191058) ((-390 . -111) 191014) ((-329 . -1240) 190993) ((-486 . -1020) 190959) ((-365 . -38) 190924) ((-40 . -381) 190896) ((-885 . -625) 190768) ((-128 . -126) 190752) ((-122 . -126) 190736) ((-848 . -1074) 190706) ((-845 . -21) 190658) ((-839 . -1074) 190642) ((-845 . -25) 190594) ((-329 . -568) 190545) ((-529 . -628) 190526) ((-576 . -840) T) ((-246 . -1236) T) ((-1052 . -628) 190495) ((-848 . -111) 190460) ((-839 . -111) 190439) ((-1270 . -625) 190421) ((-1249 . -625) 190403) ((-1249 . -626) 190074) ((-1191 . -925) 190053) ((-1143 . -925) 190032) ((-48 . -38) 189997) ((-1308 . -1130) T) ((-548 . -296) 189953) ((-614 . -625) 189865) ((-614 . -626) 189826) ((-1306 . -1130) T) ((-372 . -628) 189810) ((-332 . -628) 189794) ((-1160 . -238) 189773) ((-246 . -1056) 189600) ((-1191 . -660) 189489) ((-1143 . -660) 189378) ((-866 . -660) 189352) ((-730 . -625) 189334) ((-558 . -379) T) ((-1308 . -23) T) ((-706 . -916) NIL) ((-1306 . -23) T) ((-503 . -1118) T) ((-390 . -628) 189284) ((-390 . -630) 189266) ((-1052 . -1067) T) ((-877 . -102) T) ((-1208 . -296) 189245) ((-171 . -379) 189196) ((-1022 . -1236) T) ((-848 . -628) 189150) ((-839 . -628) 189105) ((-44 . -23) T) ((-491 . -296) 189084) ((-598 . -1118) T) ((-1164 . -1127) 189053) ((-1122 . -1121) 189005) ((-402 . -21) T) ((-402 . -25) T) ((-153 . -1130) T) ((-1315 . -102) T) ((-1022 . -897) 188987) ((-1022 . -899) 188969) ((-1230 . -729) 188866) ((-635 . -233) 188850) ((-633 . -21) T) ((-299 . -568) T) ((-633 . -25) T) ((-1216 . -1118) T) ((-723 . -729) 188815) ((-246 . -388) 188784) ((-1022 . -1056) 188744) ((-390 . -1067) T) ((-225 . -1076) T) ((-118 . -233) 188721) ((-59 . -296) 188673) ((-153 . -23) T) ((-528 . -296) 188625) ((-337 . -526) 188558) ((-508 . -296) 188510) ((-390 . -249) T) ((-390 . -239) T) ((-848 . -1067) T) ((-839 . -1067) T) ((-724 . -965) 188479) ((-713 . -862) T) ((-486 . -625) 188461) ((-1272 . -1069) 188366) ((-592 . -658) 188338) ((-576 . -658) 188310) ((-507 . -658) 188260) ((-839 . -239) 188239) ((-135 . -862) T) ((-1272 . -652) 188131) ((-670 . -1118) T) ((-1208 . -616) 188110) ((-562 . -1212) 188089) ((-347 . -1118) T) ((-329 . -374) 188068) ((-419 . -148) 188047) ((-419 . -146) 188026) ((-980 . -1130) 187925) ((-246 . -914) 187857) ((-827 . -1130) 187835) ((-666 . -864) 187819) ((-491 . -616) 187798) ((-562 . -107) 187748) ((-1022 . -388) 187730) ((-1022 . -349) 187712) ((-1195 . -625) 187694) ((-97 . -1118) T) ((-980 . -23) 187505) ((-489 . -21) T) ((-489 . -25) T) ((-827 . -23) 187357) ((-1195 . -626) 187279) ((-59 . -19) 187263) ((-1191 . -738) T) ((-1143 . -738) T) ((-1105 . -1118) T) ((-528 . -19) 187247) ((-508 . -19) 187231) ((-59 . -616) 187208) ((-1021 . -238) 187180) ((-917 . -102) 187158) ((-866 . -738) T) ((-794 . -1118) T) ((-528 . -616) 187135) ((-508 . -616) 187112) ((-792 . -1118) T) ((-792 . -1083) 187079) ((-473 . -1118) T) ((-466 . -1118) T) ((-598 . -729) 187054) ((-661 . -1118) T) ((-1278 . -47) 187031) ((-1272 . -102) T) ((-1271 . -47) 187001) ((-1250 . -47) 186978) ((-1230 . -174) 186929) ((-1192 . -317) 186908) ((-1186 . -317) 186887) ((-1114 . -628) 186868) ((-1108 . -628) 186849) ((-1098 . -568) 186800) ((-1098 . -1240) 186751) ((-1022 . -914) NIL) ((-1091 . -628) 186732) ((-682 . -132) T) ((-639 . -1130) T) ((-1084 . -628) 186713) ((-1054 . -628) 186694) ((-1037 . -628) 186675) ((-726 . -1074) 186645) ((-711 . -658) 186595) ((-284 . -1118) T) ((-85 . -453) T) ((-85 . -407) T) ((-724 . -909) 186534) ((-723 . -174) T) ((-50 . -1118) T) ((-607 . -47) 186511) ((-227 . -660) 186476) ((-593 . -1118) T) ((-530 . -1118) T) ((-499 . -832) T) ((-499 . -936) T) ((-370 . -1240) T) ((-364 . -1240) T) ((-356 . -1240) T) ((-329 . -1130) T) ((-326 . -1069) 186386) ((-323 . -1069) 186315) ((-108 . -1240) T) ((-638 . -628) 186296) ((-370 . -568) T) ((-219 . -936) T) ((-219 . -832) T) ((-326 . -652) 186206) ((-323 . -652) 186135) ((-364 . -568) T) ((-356 . -568) T) ((-495 . -628) 186116) ((-108 . -568) T) ((-670 . -729) 186086) ((-1186 . -1040) NIL) ((-220 . -628) 186067) ((-329 . -23) T) ((-67 . -1236) T) ((-1018 . -625) 185999) ((-706 . -233) 185981) ((-726 . -111) 185946) ((-656 . -34) T) ((-251 . -501) 185930) ((-1315 . -1170) T) ((-1310 . -21) T) ((-1310 . -25) T) ((-1308 . -132) T) ((-1120 . -1116) 185914) ((-173 . -1118) T) ((-1306 . -132) T) ((-1299 . -102) T) ((-1282 . -625) 185880) ((-1278 . -1236) T) ((-1271 . -1236) T) ((-968 . -925) 185859) ((-1271 . -1056) 185794) ((-1250 . -1236) T) ((-1250 . -899) NIL) ((-527 . -628) 185778) ((-1250 . -897) 185730) ((-1250 . -1056) 185696) ((-1230 . -526) 185663) ((-493 . -925) 185642) ((-1208 . -626) NIL) ((-1208 . -625) 185624) ((-1105 . -729) 185473) ((-1080 . -660) 185445) ((-968 . -660) 185334) ((-609 . -502) 185315) ((-597 . -502) 185296) ((-794 . -729) 185125) ((-609 . -625) 185091) ((-597 . -625) 185057) ((-548 . -625) 185039) ((-548 . -626) 185020) ((-792 . -729) 184869) ((-1095 . -102) T) ((-392 . -25) T) ((-635 . -658) 184841) ((-392 . -21) T) ((-493 . -660) 184730) ((-473 . -729) 184701) ((-466 . -729) 184550) ((-1005 . -102) T) ((-1160 . -1141) 184495) ((-1064 . -1229) 184424) ((-917 . -319) 184362) ((-749 . -102) T) ((-118 . -658) 184292) ((-617 . -628) 184274) ((-888 . -93) T) ((-726 . -628) 184228) ((-543 . -25) T) ((-693 . -93) T) ((-688 . -93) T) ((-676 . -625) 184210) ((-657 . -502) 184191) ((-142 . -102) T) ((-44 . -132) T) ((-657 . -625) 184144) ((-607 . -1236) T) ((-354 . -1076) T) ((-299 . -1130) T) ((-490 . -93) T) ((-419 . -238) 184123) ((-366 . -625) 184105) ((-363 . -625) 184087) ((-355 . -625) 184069) ((-273 . -626) 183817) ((-273 . -625) 183799) ((-253 . -625) 183781) ((-253 . -626) 183642) ((-134 . -93) T) ((-139 . -93) T) ((-138 . -93) T) ((-1159 . -625) 183624) ((-1138 . -652) 183611) ((-1138 . -1069) 183598) ((-831 . -738) T) ((-831 . -869) T) ((-614 . -298) 183575) ((-593 . -729) 183540) ((-491 . -626) NIL) ((-491 . -625) 183522) ((-530 . -729) 183467) ((-326 . -102) T) ((-323 . -102) T) ((-299 . -23) T) ((-153 . -132) T) ((-926 . -625) 183449) ((-926 . -626) 183431) ((-398 . -738) T) ((-884 . -1074) 183383) ((-884 . -111) 183321) ((-726 . -1067) T) ((-724 . -1262) 183305) ((-706 . -360) NIL) ((-115 . -102) T) ((-140 . -102) T) ((-137 . -102) T) ((-531 . -625) 183237) ((-390 . -807) T) ((-225 . -1118) T) ((-169 . -1236) T) ((-390 . -804) T) ((-227 . -806) T) ((-227 . -803) T) ((-59 . -626) 183198) ((-59 . -625) 183110) ((-227 . -738) T) ((-528 . -626) 183071) ((-528 . -625) 182983) ((-509 . -625) 182915) ((-508 . -626) 182876) ((-508 . -625) 182788) ((-1098 . -374) 182739) ((-40 . -423) 182716) ((-77 . -1236) T) ((-883 . -925) NIL) ((-370 . -339) 182700) ((-370 . -374) T) ((-364 . -339) 182684) ((-364 . -374) T) ((-356 . -339) 182668) ((-356 . -374) T) ((-326 . -294) 182647) ((-108 . -374) T) ((-70 . -1236) T) ((-1250 . -349) 182599) ((-883 . -660) 182544) ((-1250 . -388) 182496) ((-980 . -132) 182351) ((-827 . -132) 182222) ((-974 . -663) 182206) ((-1105 . -174) 182117) ((-974 . -384) 182101) ((-1080 . -806) T) ((-1080 . -803) T) ((-884 . -628) 181999) ((-794 . -174) 181890) ((-792 . -174) 181801) ((-828 . -47) 181763) ((-1080 . -738) T) ((-337 . -501) 181747) ((-968 . -738) T) ((-1299 . -319) 181685) ((-1278 . -914) 181598) ((-466 . -174) 181509) ((-251 . -296) 181461) ((-1271 . -914) 181367) ((-1270 . -1074) 181202) ((-1250 . -914) 181035) ((-493 . -738) T) ((-1249 . -1074) 180843) ((-1230 . -300) 180822) ((-1205 . -1236) T) ((-1202 . -379) T) ((-1201 . -379) T) ((-1164 . -152) 180806) ((-1138 . -102) T) ((-1136 . -1118) T) ((-1098 . -23) T) ((-1098 . -1130) T) ((-1093 . -102) T) ((-1075 . -625) 180773) ((-1021 . -421) 180745) ((-943 . -971) T) ((-749 . -319) 180683) ((-75 . -1236) T) ((-676 . -393) 180655) ((-171 . -925) 180608) ((-30 . -971) T) ((-112 . -856) T) ((-1 . -625) 180590) ((-1017 . -909) 180547) ((-129 . -663) 180529) ((-50 . -632) 180513) ((-706 . -658) 180448) ((-607 . -914) 180361) ((-450 . -102) T) ((-129 . -384) 180343) ((-142 . -319) NIL) ((-884 . -1067) T) ((-845 . -862) 180322) ((-81 . -1236) T) ((-723 . -300) T) ((-40 . -1076) T) ((-593 . -174) T) ((-530 . -174) T) ((-523 . -625) 180304) ((-171 . -660) 180178) ((-519 . -625) 180160) ((-362 . -148) 180142) ((-362 . -146) T) ((-370 . -1130) T) ((-364 . -1130) T) ((-356 . -1130) T) ((-1022 . -317) T) ((-930 . -317) T) ((-884 . -249) T) ((-108 . -1130) T) ((-884 . -239) 180121) ((-1270 . -111) 179942) ((-1249 . -111) 179731) ((-251 . -1274) 179715) ((-576 . -860) T) ((-370 . -23) T) ((-365 . -360) T) ((-326 . -319) 179702) ((-323 . -319) 179643) ((-364 . -23) T) ((-329 . -132) T) ((-356 . -23) T) ((-1022 . -1040) T) ((-31 . -628) 179624) ((-108 . -23) T) ((-666 . -1069) 179608) ((-251 . -616) 179585) ((-343 . -1118) T) ((-666 . -652) 179555) ((-1272 . -38) 179447) ((-1259 . -925) 179426) ((-112 . -1118) T) ((-828 . -1236) T) ((-1053 . -102) T) ((-1259 . -660) 179315) ((-883 . -806) NIL) ((-867 . -660) 179289) ((-883 . -803) NIL) ((-828 . -899) NIL) ((-883 . -738) T) ((-1105 . -526) 179162) ((-794 . -526) 179109) ((-792 . -526) 179061) ((-583 . -660) 179048) ((-828 . -1056) 178876) ((-466 . -526) 178819) ((-400 . -401) T) ((-1270 . -628) 178632) ((-1249 . -628) 178380) ((-60 . -1236) T) ((-633 . -862) 178359) ((-512 . -673) T) ((-1164 . -994) 178328) ((-1042 . -658) 178265) ((-1021 . -464) T) ((-711 . -860) T) ((-522 . -804) T) ((-486 . -1074) 178100) ((-512 . -113) T) ((-354 . -1118) T) ((-323 . -1170) NIL) ((-299 . -132) T) ((-406 . -1118) T) ((-882 . -1076) T) ((-706 . -381) 178067) ((-365 . -658) 177997) ((-225 . -632) 177974) ((-337 . -296) 177926) ((-486 . -111) 177747) ((-1270 . -1067) T) ((-1249 . -1067) T) ((-828 . -388) 177731) ((-171 . -738) T) ((-666 . -102) T) ((-1270 . -249) 177710) ((-1270 . -239) 177662) ((-1249 . -239) 177567) ((-1249 . -249) 177546) ((-1021 . -414) NIL) ((-682 . -651) 177494) ((-326 . -38) 177404) ((-323 . -38) 177333) ((-69 . -625) 177315) ((-329 . -505) 177281) ((-48 . -658) 177231) ((-1208 . -298) 177210) ((-1244 . -862) T) ((-1131 . -1130) 177188) ((-83 . -1236) T) ((-61 . -625) 177170) ((-491 . -298) 177149) ((-1301 . -1056) 177126) ((-1183 . -1118) T) ((-1131 . -23) 176978) ((-828 . -914) 176914) ((-1259 . -738) T) ((-1120 . -1236) T) ((-486 . -628) 176740) ((-362 . -238) T) ((-1105 . -300) 176671) ((-982 . -1118) T) ((-906 . -102) T) ((-794 . -300) 176582) ((-337 . -19) 176566) ((-59 . -298) 176543) ((-792 . -300) 176474) ((-867 . -738) T) ((-118 . -860) NIL) ((-528 . -298) 176451) ((-337 . -616) 176428) ((-508 . -298) 176405) ((-466 . -300) 176336) ((-1053 . -319) 176187) ((-888 . -502) 176168) ((-888 . -625) 176134) ((-693 . -502) 176115) ((-583 . -738) T) ((-688 . -502) 176096) ((-693 . -625) 176046) ((-688 . -625) 176012) ((-674 . -625) 175994) ((-490 . -502) 175975) ((-490 . -625) 175941) ((-251 . -626) 175902) ((-251 . -502) 175879) ((-139 . -502) 175860) ((-138 . -502) 175841) ((-134 . -502) 175822) ((-251 . -625) 175714) ((-215 . -102) T) ((-139 . -625) 175680) ((-138 . -625) 175646) ((-134 . -625) 175612) ((-1165 . -34) T) ((-959 . -1236) T) ((-354 . -729) 175557) ((-682 . -25) T) ((-682 . -21) T) ((-1195 . -628) 175538) ((-486 . -1067) T) ((-647 . -429) 175503) ((-619 . -429) 175468) ((-1138 . -1170) T) ((-724 . -1069) 175291) ((-593 . -300) T) ((-530 . -300) T) ((-1271 . -317) 175270) ((-486 . -239) 175222) ((-486 . -249) 175201) ((-1250 . -317) 175180) ((-724 . -652) 175009) ((-1250 . -1040) NIL) ((-1098 . -132) T) ((-884 . -807) 174988) ((-145 . -102) T) ((-40 . -1118) T) ((-884 . -804) 174967) ((-656 . -1028) 174951) ((-592 . -1076) T) ((-576 . -1076) T) ((-507 . -1076) T) ((-419 . -464) T) ((-370 . -132) T) ((-326 . -412) 174935) ((-323 . -412) 174896) ((-364 . -132) T) ((-356 . -132) T) ((-1200 . -1118) T) ((-1138 . -38) 174883) ((-1112 . -625) 174850) ((-108 . -132) T) ((-970 . -1118) T) ((-937 . -1118) T) ((-783 . -1118) T) ((-684 . -1118) T) ((-713 . -148) T) ((-117 . -148) T) ((-1308 . -21) T) ((-1308 . -25) T) ((-1306 . -21) T) ((-1306 . -25) T) ((-676 . -1074) 174834) ((-543 . -862) T) ((-512 . -862) T) ((-366 . -1074) 174786) ((-363 . -1074) 174738) ((-355 . -1074) 174690) ((-258 . -1236) T) ((-257 . -1236) T) ((-273 . -1074) 174533) ((-253 . -1074) 174376) ((-676 . -111) 174355) ((-829 . -1240) 174334) ((-559 . -856) T) ((-326 . -916) 174300) ((-366 . -111) 174238) ((-363 . -111) 174176) ((-355 . -111) 174114) ((-273 . -111) 173943) ((-253 . -111) 173772) ((-323 . -916) NIL) ((-635 . -423) 173756) ((-44 . -21) T) ((-44 . -25) T) ((-827 . -651) 173662) ((-829 . -568) 173641) ((-258 . -1056) 173468) ((-257 . -1056) 173295) ((-127 . -120) 173279) ((-926 . -1074) 173244) ((-724 . -102) T) ((-711 . -1076) T) ((-609 . -628) 173225) ((-597 . -628) 173206) ((-548 . -630) 173109) ((-354 . -174) T) ((-88 . -625) 173091) ((-153 . -21) T) ((-153 . -25) T) ((-926 . -111) 173047) ((-40 . -729) 172992) ((-882 . -1118) T) ((-676 . -628) 172969) ((-657 . -628) 172950) ((-366 . -628) 172887) ((-363 . -628) 172824) ((-559 . -1118) T) ((-355 . -628) 172761) ((-337 . -626) 172722) ((-337 . -625) 172634) ((-273 . -628) 172387) ((-253 . -628) 172172) ((-1249 . -804) 172125) ((-1249 . -807) 172078) ((-258 . -388) 172047) ((-257 . -388) 172016) ((-666 . -38) 171986) ((-620 . -34) T) ((-494 . -1130) 171964) ((-487 . -34) T) ((-1131 . -132) 171835) ((-980 . -25) 171646) ((-926 . -628) 171596) ((-886 . -625) 171578) ((-980 . -21) 171533) ((-827 . -25) 171366) ((-827 . -21) 171277) ((-1242 . -379) T) ((-635 . -1076) T) ((-1197 . -568) 171256) ((-1191 . -47) 171233) ((-366 . -1067) T) ((-363 . -1067) T) ((-494 . -23) 171085) ((-355 . -1067) T) ((-273 . -1067) T) ((-253 . -1067) T) ((-1143 . -47) 171057) ((-118 . -1076) T) ((-1052 . -660) 171031) ((-974 . -34) T) ((-366 . -239) 171010) ((-366 . -249) T) ((-363 . -239) 170989) ((-363 . -249) T) ((-355 . -239) 170968) ((-355 . -249) T) ((-273 . -336) 170940) ((-253 . -336) 170897) ((-273 . -239) 170876) ((-1175 . -152) 170860) ((-258 . -914) 170792) ((-257 . -914) 170724) ((-1160 . -909) 170681) ((-1100 . -862) T) ((-426 . -1130) T) ((-1072 . -23) T) ((-1042 . -860) T) ((-926 . -1067) T) ((-332 . -660) 170663) ((-713 . -238) T) ((-682 . -235) 170636) ((-1230 . -1020) 170602) ((-1192 . -936) 170581) ((-1186 . -936) 170560) ((-1186 . -832) NIL) ((-1017 . -1069) 170456) ((-983 . -1236) T) ((-926 . -249) T) ((-829 . -374) 170435) ((-396 . -23) T) ((-128 . -1118) 170413) ((-122 . -1118) 170391) ((-926 . -239) T) ((-129 . -34) T) ((-390 . -660) 170356) ((-1017 . -652) 170304) ((-882 . -729) 170291) ((-1315 . -658) 170263) ((-1064 . -152) 170228) ((-1011 . -1236) T) ((-40 . -174) T) ((-706 . -423) 170210) ((-724 . -319) 170197) ((-848 . -660) 170157) ((-839 . -660) 170131) ((-329 . -25) T) ((-329 . -21) T) ((-670 . -296) 170110) ((-592 . -1118) T) ((-576 . -1118) T) ((-507 . -1118) T) ((-251 . -298) 170087) ((-1191 . -1236) T) ((-1143 . -1236) T) ((-323 . -233) 170048) ((-1191 . -899) NIL) ((-55 . -1118) T) ((-1143 . -899) 169907) ((-130 . -862) T) ((-1191 . -1056) 169787) ((-1143 . -1056) 169670) ((-185 . -625) 169652) ((-866 . -1056) 169548) ((-794 . -296) 169475) ((-829 . -1130) T) ((-1052 . -738) T) ((-1064 . -994) 169404) 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-132) 168405) ((-1197 . -1130) T) ((-968 . -47) 168374) ((-635 . -1118) T) ((-674 . -111) 168353) ((-503 . -625) 168319) ((-337 . -298) 168296) ((-493 . -47) 168253) ((-1197 . -23) T) ((-118 . -1118) T) ((-103 . -102) 168231) ((-1298 . -1130) T) ((-560 . -862) T) ((-227 . -1236) T) ((-1072 . -132) T) ((-1042 . -1076) T) ((-1298 . -23) T) ((-831 . -1056) 168215) ((-1216 . -625) 168197) ((-1021 . -736) 168169) ((-1138 . -840) T) ((-711 . -729) 168134) ((-598 . -625) 168116) ((-398 . -1056) 168100) ((-365 . -1076) T) ((-396 . -132) T) ((-334 . -1056) 168084) ((-1123 . -1118) T) ((-1098 . -21) T) ((-1098 . -25) T) ((-227 . -899) 168066) ((-1022 . -936) T) ((-91 . -34) T) ((-1022 . -832) T) ((-930 . -936) T) ((-1017 . -319) 168031) ((-888 . -628) 168012) ((-499 . -1240) T) ((-726 . -660) 167972) ((-693 . -628) 167953) ((-688 . -628) 167934) ((-219 . -1240) T) ((-419 . -909) 167891) ((-227 . -1056) 167851) ((-40 . -300) T) ((-499 . -568) T) ((-490 . -628) 167832) ((-370 . -25) T) ((-326 . -658) 167487) ((-323 . -658) 167401) ((-370 . -21) T) ((-364 . -25) T) ((-364 . -21) T) ((-219 . -568) T) ((-356 . -25) T) ((-356 . -21) T) ((-329 . -235) 167347) ((-251 . -628) 167324) ((-139 . -628) 167305) ((-138 . -628) 167286) ((-134 . -628) 167267) ((-108 . -25) T) ((-108 . -21) T) ((-48 . -1076) T) ((-592 . -174) T) ((-576 . -174) T) ((-507 . -174) T) ((-1080 . -1236) T) ((-968 . -1236) T) ((-670 . -625) 167249) ((-493 . -1236) T) ((-749 . -748) 167233) ((-347 . -625) 167215) ((-68 . -394) T) ((-68 . -407) T) ((-1120 . -107) 167199) ((-1080 . -899) 167181) ((-968 . -899) 167106) ((-665 . -1130) T) ((-635 . -729) 167093) ((-493 . -899) NIL) ((-1164 . -102) T) ((-1112 . -630) 167077) ((-1080 . -1056) 167059) ((-97 . -625) 167041) ((-489 . -148) T) ((-968 . -1056) 166921) ((-118 . -729) 166866) ((-724 . -916) 166809) ((-665 . -23) T) ((-493 . -1056) 166685) ((-1105 . -626) NIL) ((-1105 . -625) 166667) ((-794 . -626) NIL) ((-794 . -625) 166628) ((-792 . -626) 166262) ((-792 . -625) 166176) ((-1131 . -651) 166082) ((-473 . -625) 166064) ((-466 . -625) 166046) ((-466 . -626) 165907) ((-1053 . -231) 165853) ((-884 . -925) 165832) ((-127 . -34) T) ((-829 . -132) T) ((-661 . -625) 165814) ((-590 . -102) T) ((-366 . -1305) 165798) ((-363 . -1305) 165782) ((-355 . -1305) 165766) ((-128 . -526) 165699) ((-122 . -526) 165632) ((-523 . -804) T) ((-523 . -807) T) ((-522 . -806) T) ((-103 . -319) 165570) ((-224 . -102) 165548) ((-711 . -174) T) ((-706 . -1118) T) ((-884 . -660) 165464) ((-65 . -395) T) ((-284 . -625) 165446) ((-65 . -407) T) ((-968 . -388) 165430) ((-882 . -300) T) ((-50 . -625) 165412) ((-1017 . -38) 165360) ((-1138 . -658) 165332) ((-593 . -625) 165314) ((-493 . -388) 165298) ((-593 . -626) 165280) ((-530 . -625) 165262) ((-926 . -1305) 165249) ((-883 . -1236) T) ((-713 . -464) T) ((-507 . -526) 165215) ((-499 . -374) T) ((-366 . -379) 165194) ((-363 . -379) 165173) ((-355 . -379) 165152) ((-726 . -738) T) ((-219 . -374) T) ((-117 . -464) T) ((-1309 . -1300) 165136) ((-883 . -897) 165113) ((-883 . -899) NIL) ((-980 . -862) 165012) ((-827 . -862) 164963) ((-1243 . -102) T) ((-666 . -668) 164947) ((-1222 . -34) T) ((-173 . -625) 164929) ((-1131 . -25) 164762) ((-1131 . -21) 164673) ((-883 . -1056) 164650) ((-968 . -914) 164631) ((-1259 . -47) 164608) ((-926 . -379) T) ((-59 . -663) 164592) ((-528 . -663) 164576) ((-493 . -914) 164553) ((-71 . -453) T) ((-71 . -407) T) ((-508 . -663) 164537) ((-59 . -384) 164521) ((-635 . -174) T) ((-528 . -384) 164505) ((-508 . -384) 164489) ((-839 . -720) 164473) ((-1191 . -317) 164452) ((-1197 . -132) T) ((-1160 . -1069) 164436) ((-118 . -174) T) ((-1160 . -652) 164368) ((-1164 . -319) 164306) ((-171 . -1236) T) ((-1298 . -132) T) ((-878 . -1069) 164276) ((-647 . -756) 164260) ((-619 . -756) 164244) ((-1271 . -936) 164223) ((-1250 . -936) 164202) ((-1250 . -832) NIL) ((-878 . -652) 164172) ((-706 . -729) 164122) ((-1249 . -925) 164075) ((-1042 . -1118) T) ((-883 . -388) 164052) ((-883 . -349) 164029) ((-921 . -1130) T) ((-171 . -897) 164013) ((-171 . -899) 163938) ((-1286 . -526) 163871) ((-1270 . -660) 163768) ((-1098 . -235) 163687) ((-499 . -1130) T) ((-365 . -1118) T) ((-219 . -1130) T) ((-76 . -453) T) ((-76 . -407) T) ((-171 . -1056) 163583) ((-304 . -909) 163540) ((-329 . -862) T) ((-1249 . -660) 163348) ((-884 . -806) 163327) ((-884 . -803) 163306) ((-884 . -738) T) ((-499 . -23) T) ((-370 . -235) 163279) ((-364 . -235) 163252) ((-356 . -235) 163225) ((-225 . -625) 163207) ((-176 . -464) T) ((-224 . -319) 163145) ((-86 . -453) T) ((-86 . -407) T) ((-108 . -235) 163132) ((-219 . -23) T) ((-1310 . -1303) 163111) ((-689 . -1056) 163095) ((-592 . -300) T) ((-576 . -300) T) ((-507 . -300) T) ((-137 . -482) 163050) ((-1259 . -1236) T) ((-666 . -658) 163009) ((-48 . -1118) T) ((-724 . -233) 162993) ((-883 . -914) NIL) ((-1259 . -899) NIL) ((-902 . -102) T) ((-898 . -102) T) ((-400 . -1118) T) ((-171 . -388) 162977) ((-171 . -349) 162961) ((-1259 . -1056) 162841) ((-867 . -1056) 162737) ((-1160 . -102) T) ((-1017 . -916) 162696) ((-674 . -804) 162675) ((-665 . -132) T) ((-674 . -807) 162654) ((-118 . -526) 162562) ((-583 . -1056) 162544) ((-304 . -1293) 162514) ((-878 . -102) T) ((-979 . -568) 162493) ((-1230 . -1074) 162376) ((-1021 . -1069) 162321) ((-494 . -651) 162227) ((-920 . -1118) T) ((-1042 . -729) 162164) ((-723 . -1074) 162129) ((-1021 . -652) 162074) ((-629 . -102) T) ((-614 . -34) T) ((-1165 . -1236) T) ((-1230 . -111) 161943) ((-486 . -660) 161840) ((-365 . -729) 161785) ((-171 . -914) 161744) ((-711 . -300) T) ((-706 . -174) T) ((-723 . -111) 161700) ((-1315 . -1076) T) ((-1259 . -388) 161684) ((-430 . -1240) 161662) ((-1136 . -625) 161644) ((-323 . -860) NIL) ((-430 . -568) T) ((-227 . -317) T) ((-1249 . -803) 161597) ((-1249 . -806) 161550) ((-1270 . -738) T) ((-1249 . -738) T) ((-48 . -729) 161515) ((-227 . -1040) T) ((-1272 . -423) 161481) ((-362 . -1293) 161458) ((-1259 . -914) 161401) ((-730 . -738) T) ((-343 . -625) 161383) ((-1230 . -628) 161265) ((-1131 . -235) 161211) ((-112 . -625) 161193) ((-112 . -626) 161175) ((-730 . -485) T) ((-723 . -628) 161125) ((-1309 . -1069) 161109) ((-494 . -25) 160942) ((-128 . -501) 160926) ((-122 . -501) 160910) ((-494 . -21) 160821) ((-1309 . -652) 160791) ((-635 . -300) T) ((-598 . -1074) 160766) ((-449 . -1118) T) ((-1080 . -317) T) ((-118 . -300) T) ((-1122 . -102) T) ((-1021 . -102) T) ((-598 . -111) 160734) ((-1160 . -319) 160672) ((-1230 . -1067) T) ((-1080 . -1040) T) ((-66 . -1236) T) ((-1072 . -25) T) ((-1072 . -21) T) ((-723 . -1067) T) ((-396 . -21) T) ((-396 . -25) T) ((-706 . -526) NIL) ((-1042 . -174) T) ((-723 . -249) T) ((-1080 . -557) T) ((-724 . -658) 160582) ((-518 . -102) T) ((-514 . -102) T) ((-365 . -174) T) ((-354 . -625) 160564) ((-419 . -1069) 160516) ((-406 . -625) 160498) ((-1138 . -860) T) ((-486 . -738) T) ((-905 . -1056) 160466) ((-419 . -652) 160418) ((-108 . -862) T) ((-670 . -1074) 160402) ((-499 . -132) T) ((-1272 . -1076) T) ((-219 . -132) T) ((-1175 . -102) 160380) ((-99 . -1118) T) ((-251 . -678) 160364) ((-251 . -663) 160348) ((-670 . -111) 160327) ((-598 . -628) 160311) ((-326 . -423) 160295) ((-251 . -384) 160279) ((-1178 . -241) 160226) ((-1017 . -233) 160210) ((-74 . -1236) T) ((-48 . -174) T) ((-713 . -399) T) ((-713 . -144) T) ((-1309 . -102) T) ((-1216 . -628) 160192) ((-1106 . -1236) T) ((-1105 . -1074) 160035) ((-1094 . -1236) T) ((-273 . -925) 160014) ((-253 . -925) 159993) ((-794 . -1074) 159816) ((-792 . -1074) 159659) ((-620 . -1236) T) ((-1183 . -625) 159641) ((-1105 . -111) 159470) ((-1064 . -102) T) ((-487 . -1236) T) ((-473 . -1074) 159441) ((-466 . -1074) 159284) ((-676 . -660) 159268) ((-883 . -317) T) ((-794 . -111) 159077) ((-792 . -111) 158906) ((-366 . -660) 158858) ((-363 . -660) 158810) ((-355 . -660) 158762) ((-273 . -660) 158651) ((-253 . -660) 158540) ((-1177 . -862) T) ((-1106 . -1056) 158524) ((-473 . -111) 158485) ((-466 . -111) 158314) ((-1094 . -1056) 158291) ((-1018 . -34) T) ((-982 . -625) 158273) ((-974 . -1236) T) ((-127 . -1028) 158257) ((-979 . -1130) T) ((-883 . -1040) NIL) ((-747 . -1130) T) ((-727 . -1130) T) ((-670 . -628) 158175) ((-1286 . -501) 158159) ((-1160 . -38) 158119) ((-979 . -23) T) ((-926 . -660) 158084) ((-877 . -1118) T) ((-855 . -102) T) ((-829 . -21) T) ((-647 . -1069) 158068) ((-619 . -1069) 158052) ((-829 . -25) T) ((-747 . -23) T) ((-727 . -23) T) ((-647 . -652) 158036) ((-110 . -673) T) ((-619 . -652) 158020) ((-593 . -1074) 157985) ((-530 . -1074) 157930) ((-229 . -57) 157888) ((-465 . -23) T) ((-419 . -102) T) ((-270 . -102) T) ((-110 . -113) T) ((-706 . -300) T) ((-878 . -38) 157858) ((-593 . -111) 157814) ((-530 . -111) 157743) ((-1105 . -628) 157479) ((-430 . -1130) T) ((-326 . -1076) 157369) ((-323 . -1076) T) ((-129 . -1236) T) ((-794 . -628) 157117) ((-792 . -628) 156883) ((-670 . -1067) T) ((-1315 . -1118) T) ((-466 . -628) 156668) ((-171 . -317) 156599) ((-430 . -23) T) ((-40 . -625) 156581) ((-40 . -626) 156565) ((-108 . -1010) 156547) ((-117 . -881) 156531) ((-661 . -628) 156515) ((-48 . -526) 156481) ((-1222 . -1028) 156465) ((-1200 . -625) 156432) ((-1208 . -34) T) ((-970 . -625) 156398) ((-937 . -625) 156380) ((-1131 . -862) 156331) ((-783 . -625) 156313) ((-684 . -625) 156295) ((-1175 . -319) 156233) ((-491 . -34) T) ((-1110 . -1236) T) ((-489 . -464) T) ((-1159 . -34) T) ((-1105 . -1067) T) ((-50 . -628) 156202) ((-794 . -1067) T) ((-792 . -1067) T) ((-659 . -241) 156186) ((-644 . -241) 156132) ((-593 . -628) 156082) ((-530 . -628) 156012) ((-494 . -235) 155958) ((-1259 . -317) 155937) ((-1105 . -336) 155898) ((-466 . -1067) T) ((-1197 . -21) T) ((-1105 . -239) 155877) ((-794 . -336) 155854) ((-794 . -239) T) ((-792 . -336) 155826) ((-743 . -1240) 155805) ((-337 . -663) 155789) ((-1197 . -25) T) ((-59 . -34) T) ((-531 . -34) T) ((-528 . -34) T) ((-466 . -336) 155768) ((-337 . -384) 155752) ((-509 . -34) T) ((-508 . -34) T) ((-1021 . -1170) NIL) ((-743 . -568) 155683) ((-647 . -102) T) ((-619 . -102) T) ((-366 . -738) T) ((-363 . -738) T) ((-355 . -738) T) ((-273 . -738) T) ((-253 . -738) T) ((-390 . -1236) T) ((-1064 . -319) 155591) ((-1298 . -21) T) ((-917 . -1118) 155569) ((-830 . -235) 155556) ((-50 . -1067) T) ((-1298 . -25) T) ((-1193 . -568) 155535) ((-1192 . -1240) 155514) ((-1192 . -568) 155465) ((-1186 . -1240) 155444) ((-1186 . -568) 155395) ((-593 . -1067) T) ((-530 . -1067) T) ((-1042 . -300) T) ((-372 . -1056) 155379) ((-332 . -1056) 155363) ((-1021 . -38) 155308) ((-390 . -899) 155290) ((-1017 . -658) 155213) ((-848 . -1236) T) ((-839 . -1236) 155192) ((-811 . -1130) T) ((-926 . -738) T) ((-593 . -249) T) ((-593 . -239) T) ((-530 . -239) T) ((-530 . -249) T) ((-1144 . -568) 155171) ((-365 . -300) T) ((-659 . -707) 155155) ((-390 . -1056) 155115) ((-304 . -1069) 155036) ((-350 . -909) 155015) ((-1138 . -1076) T) ((-103 . -126) 154999) ((-304 . -652) 154941) ((-811 . -23) T) ((-1308 . -1303) 154917) ((-1306 . -1303) 154896) ((-1286 . -296) 154848) ((-419 . -319) 154813) ((-1272 . -1118) T) ((-1160 . -916) 154772) ((-882 . -625) 154754) ((-848 . -1056) 154723) ((-205 . -799) T) ((-204 . -799) T) ((-203 . -799) T) ((-202 . -799) T) ((-201 . -799) T) ((-200 . -799) T) ((-199 . -799) T) ((-198 . -799) T) ((-197 . -799) T) ((-196 . -799) T) ((-559 . -625) 154705) ((-507 . -1020) T) ((-283 . -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 . -862) T) ((-666 . -423) 154689) ((-682 . -238) 154668) ((-225 . -628) 154630) ((-110 . -862) T) ((-665 . -21) T) ((-665 . -25) T) ((-1309 . -38) 154600) ((-118 . -296) 154551) ((-1286 . -19) 154535) ((-1286 . -616) 154512) ((-1299 . -1118) T) ((-362 . -1069) 154457) ((-1095 . -1118) T) ((-1005 . -1118) T) ((-979 . -132) T) ((-829 . -235) 154444) ((-749 . -1118) T) ((-362 . -652) 154389) ((-747 . -132) T) ((-727 . -132) T) ((-523 . -805) T) ((-523 . -806) T) ((-465 . -132) T) ((-419 . -1170) 154367) 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136574) ((-40 . -738) T) ((-224 . -526) 136507) ((-607 . -25) T) ((-488 . -152) 136491) ((-475 . -152) 136475) ((-937 . -806) T) ((-937 . -738) T) ((-783 . -805) T) ((-783 . -806) T) ((-518 . -1118) T) ((-514 . -1118) T) ((-783 . -738) T) ((-227 . -374) T) ((-1308 . -1069) 136459) ((-1306 . -1069) 136443) ((-1308 . -652) 136413) ((-1175 . -1118) 136391) ((-883 . -1240) T) ((-1306 . -652) 136361) ((-666 . -625) 136343) ((-883 . -568) T) ((-706 . -379) NIL) ((-44 . -1069) 136327) ((-1315 . -628) 136309) ((-1309 . -1118) T) ((-682 . -102) T) ((-370 . -1293) 136293) ((-364 . -1293) 136277) ((-44 . -652) 136261) ((-356 . -1293) 136245) ((-560 . -102) T) ((-1230 . -1236) T) ((-532 . -862) 136224) ((-499 . -238) T) ((-219 . -238) T) ((-1064 . -1118) T) ((-829 . -464) 136203) ((-153 . -1069) 136187) ((-1064 . -1089) 136116) ((-1045 . -994) 136085) ((-831 . -1130) T) ((-1021 . -729) 136030) ((-153 . -652) 136014) ((-398 . -1130) T) ((-488 . -994) 135983) ((-475 . -994) 135952) ((-110 . -152) 135934) ((-73 . -625) 135916) ((-906 . -625) 135898) ((-1098 . -736) 135877) ((-1315 . -1067) T) ((-828 . -651) 135825) ((-304 . -1076) 135767) ((-171 . -1240) 135672) ((-227 . -1130) T) ((-334 . -23) T) ((-1186 . -1010) 135624) ((-855 . -1118) T) ((-1272 . -1074) 135529) ((-1144 . -752) 135508) ((-1270 . -936) 135487) ((-1249 . -936) 135466) ((-882 . -738) T) ((-171 . -568) 135377) ((-592 . -660) 135364) ((-576 . -660) 135336) ((-419 . -1118) T) ((-270 . -1118) T) ((-215 . -625) 135318) ((-507 . -660) 135268) ((-227 . -23) T) ((-1249 . -832) 135221) ((-1308 . -102) T) ((-365 . -1305) 135198) ((-1306 . -102) T) ((-1272 . -111) 135090) ((-1131 . -909) 135020) ((-827 . -1069) 134921) ((-827 . -652) 134843) ((-145 . -625) 134825) ((-1011 . -132) T) ((-44 . -102) T) ((-246 . -862) 134776) ((-1259 . -1240) 134755) ((-103 . -501) 134739) ((-1309 . -729) 134709) ((-1105 . -47) 134670) ((-1080 . -1130) T) ((-968 . -1130) T) ((-128 . -34) T) ((-122 . -34) T) ((-794 . -47) 134647) ((-792 . -47) 134619) ((-1259 . -568) 134530) ((-365 . -379) T) ((-493 . -1130) T) ((-1191 . -132) T) ((-1143 . -132) T) ((-466 . -47) 134509) ((-883 . -374) T) ((-866 . -132) T) ((-153 . -102) T) ((-1080 . -23) T) ((-968 . -23) T) ((-583 . -568) T) ((-828 . -25) T) ((-828 . -21) T) ((-1160 . -526) 134442) ((-604 . -1101) T) ((-598 . -1056) 134426) ((-1272 . -628) 134300) ((-493 . -23) T) ((-362 . -1076) T) ((-1230 . -914) 134281) ((-682 . -319) 134219) ((-1131 . -1293) 134189) ((-711 . -660) 134154) ((-1022 . -862) T) ((-1021 . -174) T) ((-979 . -146) 134133) ((-647 . -1118) T) ((-619 . -1118) T) ((-979 . -148) 134112) ((-747 . -148) 134091) ((-747 . -146) 134070) ((-670 . -1236) T) ((-989 . -862) T) ((-1278 . -235) 134023) ((-1271 . -235) 133969) ((-1250 . -235) 133850) ((-845 . -658) 133767) ((-486 . -936) 133746) ((-329 . -1069) 133581) ((-326 . -1074) 133491) ((-323 . -1074) 133420) ((-1017 . -296) 133378) ((-419 . -729) 133330) ((-329 . -652) 133171) ((-607 . -235) 133124) ((-713 . -860) T) 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128861) ((-1138 . -1067) T) ((-723 . -317) T) ((-370 . -1069) 128813) ((-364 . -1069) 128765) ((-356 . -1069) 128717) ((-370 . -652) 128669) ((-225 . -1056) 128646) ((-364 . -652) 128598) ((-108 . -1069) 128548) ((-356 . -652) 128500) ((-304 . -729) 128442) ((-713 . -1076) T) ((-499 . -464) T) ((-419 . -526) 128354) ((-108 . -652) 128304) ((-219 . -464) T) ((-1138 . -239) T) ((-305 . -152) 128254) ((-1017 . -626) 128215) ((-1017 . -625) 128197) ((-1007 . -625) 128179) ((-117 . -1076) T) ((-666 . -1074) 128163) ((-227 . -505) T) ((-411 . -625) 128145) ((-411 . -626) 128122) ((-1072 . -1293) 128092) ((-666 . -111) 128071) ((-682 . -916) 128030) ((-1160 . -501) 128014) ((-1310 . -658) 127973) ((-392 . -658) 127942) ((-63 . -453) T) ((-63 . -407) T) ((-1178 . -102) T) ((-883 . -132) T) ((-496 . -102) 127920) ((-1315 . -379) T) ((-1098 . -102) T) ((-1079 . -102) T) ((-362 . -729) 127865) ((-743 . -148) 127844) ((-743 . -146) 127823) ((-666 . -628) 127741) ((-1042 . -660) 127678) ((-535 . 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-1236) T) ((-1191 . -21) T) ((-867 . -132) T) ((-1143 . -25) T) ((-1143 . -21) T) ((-866 . -25) T) ((-866 . -21) T) ((-794 . -317) 126549) ((-1178 . -319) 126344) ((-1175 . -501) 126328) ((-1168 . -152) 126278) ((-659 . -102) 126256) ((-644 . -102) T) ((-1164 . -625) 126218) ((-583 . -132) T) ((-633 . -860) 126197) ((-1164 . -626) 126158) ((-1042 . -803) T) ((-1042 . -806) T) ((-1042 . -738) T) ((-827 . -916) 126090) ((-724 . -1074) 125913) ((-496 . -319) 125851) ((-465 . -429) 125821) ((-362 . -174) T) ((-299 . -38) 125808) ((-258 . -235) 125754) ((-257 . -235) 125700) ((-283 . -102) T) ((-282 . -102) T) ((-281 . -102) T) ((-280 . -102) T) ((-279 . -102) T) ((-278 . -102) T) ((-354 . -1056) 125677) ((-277 . -102) T) ((-214 . -102) T) ((-213 . -102) T) ((-211 . -102) T) ((-210 . -102) T) ((-209 . -102) T) ((-208 . -102) T) ((-205 . -102) T) ((-204 . -102) T) ((-203 . -102) T) ((-202 . -102) T) ((-201 . -102) T) ((-200 . -102) T) ((-199 . -102) T) ((-198 . -102) T) ((-197 . -102) T) 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. -1170) 124126) ((-40 . -1236) 124055) ((-1192 . -95) 124021) ((-1052 . -23) T) ((-1192 . -35) 123987) ((-583 . -505) T) ((-1186 . -1221) 123953) ((-1186 . -1224) 123919) ((-1186 . -95) 123885) ((-1186 . -35) 123851) ((-372 . -1130) T) ((-370 . -1170) 123830) ((-364 . -1170) 123809) ((-356 . -1170) 123788) ((-1122 . -296) 123744) ((-1144 . -35) 123710) ((-1144 . -95) 123676) ((-108 . -1170) T) ((-1144 . -1224) 123642) ((-845 . -1076) 123621) ((-659 . -319) 123559) ((-644 . -319) 123410) ((-1144 . -1221) 123376) ((-724 . -1067) T) ((-1080 . -651) 123358) ((-1098 . -38) 123226) ((-968 . -651) 123174) ((-1022 . -148) T) ((-1022 . -146) NIL) ((-390 . -1130) T) ((-334 . -25) T) ((-332 . -23) T) ((-959 . -862) 123153) ((-724 . -336) 123130) ((-493 . -651) 123078) ((-40 . -1056) 122966) ((-724 . -239) T) ((-713 . -729) 122953) ((-350 . -1118) T) ((-176 . -1118) T) ((-341 . -862) T) ((-430 . -464) 122903) ((-390 . -23) T) ((-370 . -38) 122868) ((-364 . -38) 122833) ((-356 . -38) 122798) ((-80 . -453) T) ((-80 . -407) T) ((-227 . -25) T) ((-227 . -21) T) ((-848 . -1130) T) ((-108 . -38) 122748) ((-839 . -1130) T) ((-786 . -1118) T) ((-117 . -729) 122735) ((-684 . -1056) 122719) ((-624 . -102) T) ((-848 . -23) T) ((-839 . -23) T) ((-1175 . -296) 122671) ((-1131 . -319) 122609) ((-494 . -1069) 122510) ((-1120 . -241) 122494) ((-64 . -408) T) ((-64 . -407) T) ((-1169 . -102) T) ((-110 . -102) T) ((-494 . -652) 122416) ((-40 . -388) 122393) ((-96 . -102) T) ((-665 . -864) 122377) ((-1191 . -235) 122364) ((-1153 . -1101) T) ((-1080 . -21) T) ((-1080 . -25) T) ((-1072 . -1069) 122348) ((-827 . -233) 122317) ((-968 . -25) T) ((-968 . -21) T) ((-1072 . -652) 122259) ((-633 . -1076) T) ((-1138 . -379) T) ((-1045 . -319) 122197) ((-682 . -658) 122156) ((-493 . -25) T) ((-493 . -21) T) ((-396 . -1069) 122140) ((-902 . -625) 122122) ((-898 . -625) 122104) ((-535 . -526) 122037) ((-258 . -862) 121988) ((-257 . -862) 121939) ((-396 . -652) 121909) ((-883 . -651) 121886) ((-488 . -319) 121824) ((-475 . -319) 121762) ((-362 . -300) T) ((-1175 . -1274) 121746) ((-1160 . -625) 121708) ((-1160 . -626) 121669) ((-1158 . -102) T) ((-1017 . -1074) 121565) ((-40 . -914) 121517) ((-1175 . -616) 121494) ((-1315 . -660) 121481) ((-1081 . -152) 121427) ((-499 . -909) NIL) ((-878 . -502) 121404) ((-1017 . -111) 121286) ((-884 . -1240) T) ((-219 . -909) NIL) ((-350 . -729) 121270) ((-878 . -625) 121232) ((-176 . -729) 121164) ((-884 . -568) T) ((-419 . -296) 121122) ((-246 . -238) 121074) ((-108 . -412) 121056) ((-84 . -395) T) ((-84 . -407) T) ((-713 . -174) T) ((-629 . -625) 121038) ((-99 . -738) T) ((-494 . -102) 120790) ((-99 . -485) T) ((-117 . -174) T) ((-1308 . -658) 120749) ((-1306 . -658) 120708) ((-171 . -651) 120656) ((-1098 . -916) 120589) ((-1072 . -102) T) ((-1017 . -628) 120479) ((-883 . -25) T) ((-827 . -244) 120458) ((-883 . -21) T) ((-830 . -102) T) ((-44 . -658) 120401) ((-1022 . -238) T) ((-426 . -102) T) ((-396 . -102) T) ((-110 . -319) NIL) ((-229 . -102) 120379) ((-128 . -1236) T) ((-122 . -1236) T) ((-108 . -916) NIL) ((-829 . -1069) 120330) ((-829 . -652) 120272) ((-1052 . -132) T) ((-682 . -378) 120256) ((-153 . -658) 120215) ((-647 . -296) 120173) ((-619 . -296) 120131) ((-1315 . -738) T) ((-1017 . -1067) T) ((-1259 . -651) 120079) ((-1122 . -625) 120061) ((-1021 . -625) 120043) ((-576 . -1236) T) ((-507 . -1236) T) ((-527 . -23) T) ((-522 . -23) T) ((-354 . -317) T) ((-520 . -23) T) ((-332 . -132) T) ((-3 . -1118) T) ((-1021 . -626) 120027) ((-1017 . -249) 120006) ((-1017 . -239) 119985) ((-1278 . -146) 119964) ((-1278 . -148) 119943) ((-845 . -1118) T) ((-1271 . -148) 119922) ((-1271 . -146) 119901) ((-1270 . -1240) 119880) ((-1250 . -146) 119787) ((-1250 . -148) 119694) ((-1249 . -1240) 119673) ((-390 . -132) T) ((-227 . -235) 119660) ((-576 . -899) 119642) ((0 . -1118) T) ((-176 . -174) T) ((-171 . -21) T) ((-171 . -25) T) ((-49 . -1118) T) ((-1272 . -660) 119547) ((-1270 . -568) 119498) ((-726 . -1130) T) ((-1249 . -568) 119449) ((-576 . -1056) 119431) ((-607 . -148) 119410) ((-607 . -146) 119389) ((-507 . -1056) 119332) ((-1153 . -1155) T) ((-87 . -395) T) ((-87 . -407) T) ((-884 . -374) T) ((-848 . -132) T) ((-839 . -132) T) ((-980 . -658) 119276) ((-726 . -23) T) ((-518 . -625) 119242) ((-514 . -625) 119224) ((-827 . -658) 119003) ((-1310 . -1076) T) ((-390 . -1078) T) ((-1044 . -1118) 118981) ((-55 . -1056) 118963) ((-917 . -34) T) ((-494 . -319) 118901) ((-604 . -102) T) ((-1175 . -626) 118862) ((-1175 . -625) 118794) ((-1197 . -1069) 118677) ((-45 . -102) T) ((-829 . -102) T) ((-1197 . -652) 118574) ((-1259 . -25) T) ((-1259 . -21) T) ((-1080 . -235) 118561) ((-867 . -25) T) ((-44 . -378) 118545) ((-867 . -21) T) ((-743 . -464) 118496) ((-1309 . -625) 118478) ((-1298 . -1069) 118448) ((-1072 . -319) 118386) ((-683 . -1101) T) ((-618 . -1101) T) ((-402 . -1118) T) ((-583 . -25) T) ((-583 . -21) T) ((-182 . -1101) T) ((-162 . -1101) T) ((-157 . -1101) T) ((-155 . -1101) T) ((-1298 . -652) 118356) 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. -1069) 116956) ((-665 . -652) 116926) ((-883 . -235) NIL) ((-142 . -34) T) ((-118 . -897) 116903) ((-118 . -899) NIL) ((-635 . -1056) 116786) ((-1298 . -102) T) ((-1278 . -238) 116745) ((-656 . -862) 116724) ((-1271 . -238) 116676) ((-1250 . -238) 116563) ((-305 . -102) T) ((-724 . -379) 116542) ((-118 . -1056) 116519) ((-402 . -729) 116503) ((-607 . -238) 116462) ((-633 . -729) 116446) ((-1123 . -1236) T) ((-45 . -319) 116250) ((-828 . -146) 116229) ((-828 . -148) 116208) ((-299 . -658) 116180) ((-1309 . -393) 116159) ((-831 . -862) T) ((-1288 . -1118) T) ((-1178 . -231) 116106) ((-398 . -862) 116085) ((-1278 . -35) 116051) ((-1278 . -1224) 116017) ((-1278 . -1221) 115983) ((-1271 . -1221) 115949) ((-527 . -132) T) ((-1271 . -1224) 115915) ((-1250 . -1221) 115881) ((-1250 . -1224) 115847) ((-1278 . -95) 115813) ((-1271 . -95) 115779) ((-430 . -909) 115736) ((-647 . -625) 115705) ((-619 . -625) 115674) ((-227 . -862) T) ((-1271 . -35) 115640) ((-1270 . -1130) T) ((-1250 . -95) 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-862) T) ((-535 . -699) 112526) ((-219 . -102) T) ((-1042 . -1056) 112406) ((-1021 . -111) 112335) ((-1193 . -991) 112304) ((-1192 . -991) 112266) ((-532 . -152) 112250) ((-1098 . -381) 112229) ((-362 . -625) 112211) ((-332 . -21) T) ((-365 . -1056) 112188) ((-332 . -25) T) ((-1186 . -991) 112157) ((-48 . -1236) T) ((-76 . -625) 112139) ((-1144 . -991) 112106) ((-711 . -317) T) ((-130 . -856) T) ((-926 . -374) T) ((-390 . -25) T) ((-390 . -21) T) ((-926 . -339) 112093) ((-86 . -625) 112075) ((-711 . -1040) T) ((-689 . -862) T) ((-1270 . -132) T) ((-1249 . -132) T) ((-917 . -1028) 112059) ((-848 . -21) T) ((-48 . -1056) 112002) ((-848 . -25) T) ((-839 . -25) T) ((-839 . -21) T) ((-1131 . -658) 111781) ((-1308 . -1076) T) ((-561 . -102) T) ((-1306 . -1076) T) ((-666 . -738) T) ((-1122 . -630) 111684) ((-1021 . -628) 111614) ((-1309 . -1074) 111598) ((-827 . -423) 111567) ((-103 . -120) 111551) ((-130 . -1118) T) ((-52 . -1118) T) ((-942 . -625) 111533) ((-883 . -1010) 111510) ((-835 . -102) T) ((-1309 . -111) 111489) ((-743 . -909) 111464) ((-665 . -38) 111434) ((-583 . -862) T) ((-366 . -1130) T) ((-363 . -1130) T) ((-355 . -1130) T) ((-273 . -1130) T) ((-253 . -1130) T) ((-1168 . -319) 111238) ((-635 . -317) 111217) ((-1106 . -235) 111204) ((-676 . -23) T) ((-536 . -1101) T) ((-321 . -1118) T) ((-494 . -233) 111173) ((-153 . -1076) T) ((-366 . -23) T) ((-363 . -23) T) ((-355 . -23) T) ((-118 . -317) T) ((-273 . -23) T) ((-253 . -23) T) ((-1021 . -1067) T) ((-724 . -925) 111152) ((-1193 . -909) 111063) ((-1192 . -909) 110967) ((-1186 . -909) 110798) ((-1175 . -628) 110775) ((-1021 . -239) 110747) ((-1021 . -249) T) ((-1144 . -909) 110729) ((-118 . -1040) NIL) ((-926 . -1130) T) ((-1271 . -464) 110708) ((-1250 . -464) 110687) ((-535 . -625) 110619) ((-724 . -660) 110508) ((-419 . -1074) 110460) ((-516 . -625) 110442) ((-926 . -23) T) ((-499 . -319) NIL) ((-1309 . -628) 110398) ((-486 . -132) T) ((-219 . -319) NIL) ((-419 . -111) 110336) ((-827 . -1076) 110314) 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-1067) 109080) ((-1186 . -1246) 109064) ((-527 . -25) T) ((-507 . -312) T) ((-523 . -23) T) ((-522 . -25) T) ((-520 . -25) T) ((-519 . -23) T) ((-430 . -1069) 109038) ((-419 . -1067) T) ((-329 . -1076) T) ((-706 . -317) T) ((-430 . -652) 109012) ((-108 . -860) T) ((-724 . -738) T) ((-419 . -249) T) ((-419 . -239) 108991) ((-390 . -235) 108978) ((-499 . -38) 108928) ((-219 . -38) 108878) ((-486 . -505) 108844) ((-1243 . -379) T) ((-1177 . -1162) T) ((-1119 . -102) T) ((-839 . -235) 108817) ((-713 . -625) 108799) ((-713 . -626) 108714) ((-726 . -21) T) ((-726 . -25) T) ((-1153 . -102) T) ((-494 . -658) 108493) ((-246 . -909) 108423) ((-135 . -625) 108405) ((-117 . -625) 108387) ((-158 . -25) T) ((-1308 . -1118) T) ((-884 . -651) 108335) ((-1306 . -1118) T) ((-979 . -102) T) ((-747 . -102) T) ((-727 . -102) T) ((-465 . -102) T) ((-828 . -464) 108286) ((-44 . -1118) T) ((-1106 . -862) T) ((-1081 . -319) 108137) ((-676 . -132) T) ((-1072 . -658) 108106) ((-682 . -729) 108090) ((-299 . -1076) T) ((-366 . -132) T) ((-363 . -132) T) ((-355 . -132) T) ((-273 . -132) T) ((-253 . -132) T) ((-396 . -658) 108059) ((-430 . -102) T) ((-153 . -1118) T) ((-45 . -231) 108009) ((-1022 . -909) NIL) ((-811 . -1069) 107993) ((-974 . -862) 107972) ((-1017 . -660) 107874) ((-811 . -652) 107858) ((-246 . -1293) 107828) ((-1042 . -317) T) ((-304 . -1074) 107749) ((-926 . -132) T) ((-40 . -936) T) ((-499 . -412) 107731) ((-365 . -317) T) ((-219 . -412) 107713) ((-1098 . -423) 107697) ((-304 . -111) 107613) ((-1202 . -862) T) ((-1201 . -862) T) ((-884 . -25) T) ((-884 . -21) T) ((-1272 . -47) 107557) ((-350 . -625) 107539) ((-1191 . -238) T) ((-227 . -148) T) ((-176 . -625) 107521) ((-786 . -625) 107503) ((-129 . -862) T) ((-620 . -241) 107450) ((-487 . -241) 107400) ((-1308 . -729) 107370) ((-48 . -317) T) ((-1306 . -729) 107340) ((-65 . -628) 107269) ((-980 . -1118) T) ((-827 . -1118) 107021) ((-322 . -102) T) ((-917 . -1236) T) ((-48 . -1040) T) ((-1249 . -651) 106929) ((-701 . -102) 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((-281 . -1118) T) ((-280 . -1118) T) ((-279 . -1118) T) ((-278 . -1118) T) ((-277 . -1118) T) ((-214 . -1118) T) ((-213 . -1118) T) ((-171 . -1224) 98077) ((-171 . -1221) 98055) ((-211 . -1118) T) ((-210 . -1118) T) ((-117 . -1067) T) ((-209 . -1118) T) ((-208 . -1118) T) ((-205 . -1118) T) ((-204 . -1118) T) ((-203 . -1118) T) ((-202 . -1118) T) ((-201 . -1118) T) ((-200 . -1118) T) ((-199 . -1118) T) ((-198 . -1118) T) ((-197 . -1118) T) ((-196 . -1118) T) ((-195 . -1118) T) ((-246 . -102) 97807) ((-171 . -35) 97785) ((-171 . -95) 97763) ((-666 . -1056) 97659) ((-494 . -1076) 97637) ((-1131 . -1118) 97389) ((-1160 . -34) T) ((-682 . -501) 97373) ((-73 . -1236) T) ((-105 . -625) 97355) ((-1310 . -625) 97337) ((-392 . -625) 97319) ((-350 . -628) 97271) ((-176 . -628) 97188) ((-1235 . -502) 97169) ((-743 . -38) 97018) ((-583 . -1224) T) ((-583 . -1221) T) ((-543 . -625) 97000) ((-532 . -319) 96938) ((-512 . -625) 96920) ((-512 . -626) 96902) ((-1235 . -625) 96868) ((-1186 . -1170) NIL) ((-1045 . -1089) 96837) ((-1045 . -1118) T) ((-1022 . -102) T) ((-989 . -102) T) ((-930 . -102) T) ((-906 . -1056) 96814) ((-1160 . -738) T) ((-1021 . -660) 96721) ((-488 . -1118) T) ((-475 . -1118) T) ((-598 . -23) T) ((-583 . -35) T) ((-583 . -95) T) ((-439 . -102) T) ((-1081 . -231) 96667) ((-1193 . -38) 96564) ((-878 . -738) T) ((-706 . -936) T) ((-523 . -25) T) ((-519 . -21) T) ((-519 . -25) T) ((-1192 . -38) 96405) ((-350 . -1067) T) ((-1186 . -38) 96201) ((-1098 . -174) T) ((-176 . -1067) T) ((-1144 . -38) 96098) ((-724 . -47) 96075) ((-370 . -174) T) ((-364 . -174) T) ((-531 . -57) 96049) ((-509 . -57) 95999) ((-362 . -1305) 95976) ((-227 . -464) T) ((-329 . -300) 95927) ((-356 . -174) T) ((-176 . -249) T) ((-1249 . -862) 95826) ((-108 . -174) T) ((-884 . -1010) 95810) ((-670 . -1130) T) ((-593 . -374) T) ((-593 . -339) 95797) ((-530 . -339) 95774) ((-530 . -374) T) ((-326 . -317) 95753) ((-323 . -317) T) ((-614 . -862) 95732) ((-1131 . -729) 95674) ((-532 . -292) 95658) ((-670 . -23) T) ((-430 . -233) 95642) ((-323 . -1040) NIL) ((-347 . -23) T) ((-103 . -1028) 95626) ((-45 . -36) 95605) ((-624 . -1118) T) ((-362 . -379) T) ((-536 . -102) T) ((-507 . -27) T) ((-246 . -319) 95543) ((-1105 . -1130) T) ((-1309 . -660) 95517) ((-794 . -1130) T) ((-792 . -1130) T) ((-1197 . -423) 95501) ((-466 . -1130) T) ((-1080 . -464) T) ((-1169 . -1118) T) ((-968 . -464) 95452) ((-1133 . -1101) T) ((-110 . -1118) T) ((-1105 . -23) T) ((-1178 . -526) 95235) ((-829 . -1076) T) ((-794 . -23) T) ((-792 . -23) T) ((-493 . -464) 95186) ((-473 . -23) T) ((-392 . -393) 95165) ((-366 . -235) 95138) ((-363 . -235) 95111) ((-355 . -235) 95084) ((-466 . -23) T) ((-273 . -235) 95057) ((-258 . -909) 94987) ((-257 . -909) 94917) ((-96 . -1118) T) ((-724 . -1236) T) ((-682 . -296) 94894) ((-496 . -526) 94827) ((-1278 . -1069) 94710) ((-1278 . -652) 94607) ((-1271 . -652) 94448) ((-1271 . -1069) 94283) ((-1250 . -652) 94079) ((-299 . -300) T) ((-1250 . -1069) 93869) ((-1100 . -625) 93851) 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92948) ((-624 . -133) T) ((-1197 . -1076) T) ((-494 . -1118) 92700) ((-1193 . -916) 92613) ((-1192 . -916) 92519) ((-1186 . -916) 92352) ((-883 . -464) T) ((-85 . -1236) T) ((-142 . -107) 92334) ((-1144 . -916) 92318) ((-724 . -388) 92302) ((-845 . -628) 92170) ((-1309 . -738) T) ((-1298 . -1076) T) ((-1278 . -102) T) ((-1138 . -557) T) ((-591 . -102) T) ((-130 . -502) 92152) ((-1271 . -102) T) ((-402 . -1074) 92136) ((-1191 . -965) 92105) ((-44 . -296) 92082) ((-130 . -625) 92049) ((-52 . -625) 92031) ((-1143 . -965) 91998) ((-665 . -423) 91982) ((-1250 . -102) T) ((-1177 . -526) NIL) ((-674 . -25) T) ((-633 . -1074) 91966) ((-674 . -21) T) ((-979 . -658) 91876) ((-747 . -658) 91821) ((-727 . -658) 91793) ((-402 . -111) 91772) ((-224 . -261) 91756) ((-1072 . -1071) 91696) ((-1072 . -1118) T) ((-1022 . -1170) T) ((-830 . -1118) T) ((-465 . -658) 91611) ((-647 . -660) 91595) ((-354 . -1240) T) ((-633 . -111) 91574) ((-619 . -660) 91558) ((-608 . -102) T) ((-321 . -502) 91539) ((-598 . -132) T) ((-607 . -102) T) ((-426 . -1118) T) ((-396 . -1118) T) ((-321 . -625) 91505) ((-229 . -1118) 91483) ((-659 . -526) 91416) ((-644 . -526) 91260) ((-845 . -1067) 91239) ((-656 . -152) 91223) ((-354 . -568) T) ((-724 . -914) 91166) ((-562 . -231) 91116) ((-1278 . -294) 91082) ((-1271 . -294) 91048) ((-1098 . -300) 90999) ((-499 . -860) T) ((-225 . -1130) T) ((-1250 . -294) 90965) ((-1230 . -505) 90931) ((-1022 . -38) 90881) ((-219 . -860) T) ((-430 . -658) 90840) ((-930 . -38) 90792) ((-855 . -806) 90771) ((-855 . -803) 90750) ((-855 . -738) 90729) ((-370 . -300) T) ((-364 . -300) T) ((-356 . -300) T) ((-171 . -464) 90660) ((-439 . -38) 90644) ((-225 . -23) T) ((-108 . -300) T) ((-419 . -806) 90623) ((-419 . -803) 90602) ((-419 . -738) T) ((-512 . -298) 90577) ((-489 . -1074) 90542) ((-670 . -132) T) ((-633 . -628) 90511) ((-1131 . -526) 90444) ((-347 . -132) T) ((-171 . -414) 90423) ((-494 . -729) 90365) ((-827 . -296) 90342) ((-489 . -111) 90298) ((-665 . -1076) T) ((-1191 . -909) 90237) ((-1143 . -909) 90219) ((-828 . -1069) 90062) ((-1297 . -1101) T) ((-1259 . -464) 89993) ((-828 . -652) 89842) ((-1296 . -1101) T) ((-1105 . -132) T) ((-1072 . -729) 89784) ((-1045 . -526) 89717) ((-794 . -132) T) ((-792 . -132) T) ((-583 . -464) T) ((-633 . -1067) T) ((-604 . -1118) T) ((-545 . -175) T) ((-473 . -132) T) ((-466 . -132) T) ((-390 . -238) T) ((-1017 . -1236) 89630) ((-45 . -1118) T) ((-396 . -729) 89600) ((-829 . -1118) T) ((-488 . -526) 89533) ((-475 . -526) 89466) ((-1311 . -628) 89448) ((-465 . -378) 89418) ((-45 . -622) 89397) ((-326 . -312) T) ((-839 . -238) 89376) ((-489 . -628) 89326) ((-1250 . -319) 89211) ((-682 . -625) 89173) ((-59 . -862) 89152) ((-1022 . -412) 89134) ((-560 . -625) 89116) ((-811 . -658) 89075) ((-827 . -616) 89052) ((-528 . -862) 89031) ((-508 . -862) 89010) ((-1017 . -1056) 88906) ((-40 . -1240) T) ((-246 . -916) 88838) ((-50 . -132) T) ((-593 . -132) T) ((-530 . -132) T) ((-304 . -660) 88698) ((-354 . -339) 88675) ((-354 . -374) T) ((-332 . -333) 88652) ((-329 . -296) 88610) ((-40 . -568) T) ((-390 . -1221) T) ((-390 . -1224) T) ((-1053 . -1212) 88585) ((-1208 . -241) 88535) ((-1186 . -233) 88487) ((-340 . -1118) T) ((-390 . -95) T) ((-390 . -35) T) ((-1053 . -107) 88433) ((-489 . -1067) T) ((-1310 . -1074) 88417) ((-491 . -241) 88367) ((-1178 . -501) 88301) ((-1301 . -1069) 88285) ((-392 . -1074) 88269) ((-1301 . -652) 88239) ((-489 . -249) T) ((-828 . -102) T) ((-726 . -148) 88218) ((-726 . -146) 88197) ((-496 . -501) 88181) ((-497 . -346) 88150) ((-524 . -1118) T) ((-1310 . -111) 88129) ((-1017 . -388) 88113) ((-425 . -102) T) ((-392 . -111) 88092) ((-1017 . -349) 88076) ((-288 . -1001) 88060) ((-287 . -1001) 88044) ((-1022 . -916) NIL) ((-1308 . -625) 88026) ((-1306 . -625) 88008) ((-110 . -526) NIL) ((-1191 . -1262) 87992) ((-866 . -864) 87976) ((-1197 . -1118) T) ((-103 . -1236) T) ((-968 . -965) 87937) ((-829 . -729) 87879) ((-1250 . -1170) NIL) ((-493 . -965) 87824) ((-1080 . -144) T) ((-60 . -102) 87802) ((-44 . -625) 87784) ((-78 . -625) 87766) ((-362 . -660) 87711) ((-1298 . -1118) T) ((-523 . -862) T) ((-299 . -296) 87690) ((-354 . -1130) T) ((-305 . -1118) T) ((-1017 . -914) 87649) ((-305 . -622) 87628) ((-1310 . -628) 87577) ((-1278 . -38) 87474) ((-1271 . -38) 87315) ((-1250 . -38) 87111) ((-499 . -1076) T) ((-392 . -628) 87095) ((-219 . -1076) T) ((-354 . -23) T) ((-153 . -625) 87077) ((-845 . -807) 87056) ((-845 . -804) 87035) ((-1235 . -628) 87016) ((-608 . -38) 86989) ((-607 . -38) 86886) ((-882 . -568) T) ((-225 . -132) T) ((-329 . -1020) 86852) ((-79 . -625) 86834) ((-724 . -317) 86813) ((-304 . -738) 86715) ((-836 . -102) T) ((-876 . -856) T) ((-304 . -485) 86694) ((-1301 . -102) T) ((-40 . -374) T) ((-884 . -148) 86673) ((-497 . -658) 86655) ((-884 . -146) 86634) ((-1177 . -501) 86616) ((-1310 . -1067) T) ((-494 . -526) 86549) ((-1164 . -1236) T) ((-980 . -625) 86531) ((-659 . -501) 86515) ((-644 . -501) 86446) ((-827 . -625) 86139) ((-48 . -27) T) ((-1197 . -729) 86036) ((-968 . -909) 86015) ((-665 . -1118) T) ((-873 . -872) T) ((-448 . -375) 85989) ((-743 . -658) 85899) ((-493 . -909) 85874) ((-1120 . -102) T) ((-988 . -1118) T) ((-876 . -1118) T) ((-828 . -319) 85861) ((-545 . -539) T) ((-545 . -588) T) ((-1306 . -393) 85833) ((-1072 . -526) 85766) ((-1178 . -296) 85742) ((-246 . -233) 85711) ((-258 . -1069) 85612) ((-257 . -1069) 85513) ((-1298 . -729) 85483) ((-1185 . -93) T) ((-1012 . -93) T) ((-829 . -174) 85462) ((-258 . -652) 85384) ((-257 . -652) 85306) ((-1233 . -502) 85283) ((-229 . -526) 85216) ((-633 . -807) 85195) ((-633 . -804) 85174) ((-1233 . -625) 85086) ((-224 . -1236) T) ((-687 . -625) 85018) ((-1193 . -658) 84928) ((-1175 . -1028) 84912) ((-959 . -102) 84862) ((-362 . -738) T) ((-873 . -625) 84844) ((-1192 . -658) 84726) ((-1186 . -658) 84563) ((-1144 . -658) 84473) ((-1250 . -412) 84425) ((-1131 . -501) 84409) ((-60 . -319) 84347) ((-341 . -102) T) ((-1230 . -21) T) ((-1230 . -25) T) ((-40 . -1130) T) ((-723 . -21) T) ((-639 . -625) 84329) ((-527 . -333) 84308) ((-723 . -25) T) ((-451 . -102) T) ((-108 . -296) NIL) ((-937 . -1130) T) ((-40 . -23) T) ((-783 . -1130) T) ((-576 . -1240) T) ((-507 . -1240) T) ((-329 . -625) 84290) ((-1022 . -233) 84272) ((-171 . -167) 84256) ((-592 . -568) T) ((-576 . -568) T) ((-507 . -568) T) ((-783 . -23) T) ((-1270 . -148) 84235) ((-1178 . -616) 84211) ((-1270 . -146) 84190) ((-1045 . -501) 84174) ((-1249 . -146) 84099) ((-1249 . -148) 84024) ((-1301 . -1307) 84003) ((-883 . -909) NIL) ((-488 . -501) 83987) ((-475 . -501) 83971) ((-535 . -34) T) ((-665 . -729) 83941) ((-1278 . -916) 83854) ((-1271 . -916) 83760) ((-1250 . -916) 83593) ((-112 . -985) T) ((-1197 . -174) 83544) ((-674 . -862) 83523) ((-376 . -102) T) ((-607 . -916) 83436) ((-246 . -244) 83415) ((-258 . -102) T) ((-257 . -102) T) ((-1259 . -965) 83384) ((-251 . -862) 83363) ((-828 . -38) 83212) ((-45 . -526) 83004) ((-1177 . -296) 82954) ((-216 . -1118) T) ((-1168 . -1118) T) ((-884 . -238) 82933) ((-1168 . -622) 82912) ((-598 . -25) T) ((-598 . -21) T) ((-1120 . -319) 82850) ((-979 . -423) 82834) ((-711 . -1240) T) ((-644 . -296) 82787) ((-1105 . -651) 82735) ((-921 . -1118) T) ((-794 . -651) 82683) ((-792 . -651) 82631) ((-354 . -132) T) ((-299 . -625) 82613) ((-882 . -1130) T) ((-711 . -568) T) ((-130 . -628) 82595) ((-466 . -651) 82543) ((-171 . -909) 82500) ((-921 . -919) 82484) ((-390 . -464) T) ((-499 . -1118) T) ((-959 . -319) 82422) ((-713 . -660) 82394) ((-561 . -856) T) ((-219 . -1118) T) ((-326 . -936) 82373) ((-323 . -936) T) ((-323 . -832) NIL) ((-402 . -732) T) ((-882 . -23) T) ((-117 . -660) 82360) ((-486 . -146) 82339) ((-430 . -423) 82323) ((-486 . -148) 82302) ((-110 . -501) 82284) ((-321 . -628) 82265) ((-2 . -625) 82247) ((-188 . -102) T) ((-1177 . -19) 82229) ((-1177 . -616) 82204) ((-670 . -21) T) ((-670 . -25) T) ((-605 . -1162) T) ((-1131 . -296) 82181) ((-347 . -25) T) ((-347 . -21) T) ((-246 . -658) 81960) ((-507 . -374) T) ((-1308 . -1074) 81944) ((-1306 . -1074) 81928) ((-1301 . -38) 81898) ((-1259 . -909) 81837) ((-1191 . -1069) 81660) ((-1160 . -1236) T) ((-1143 . -1069) 81503) ((-866 . -1069) 81487) ((-644 . -616) 81462) ((-1270 . -1221) 81428) ((-1270 . -1224) 81394) ((-1270 . -95) 81360) ((-1191 . -652) 81189) ((-1143 . -652) 81038) ((-866 . -652) 81008) ((-1270 . -238) 80960) ((-1253 . -102) 80938) ((-561 . -1118) T) ((-1105 . -25) T) ((-1105 . -21) T) ((-543 . -804) T) ((-543 . -807) T) ((-118 . -1240) T) ((-979 . -1076) T) ((-635 . -568) T) ((-794 . -25) T) ((-794 . -21) T) ((-792 . -21) T) ((-792 . -25) T) ((-747 . -1076) T) ((-727 . -1076) T) ((-682 . -1074) 80922) ((-529 . -1101) T) ((-473 . -25) T) ((-118 . -568) T) ((-473 . -21) T) ((-466 . -25) T) ((-466 . -21) T) ((-1250 . -233) 80874) ((-1169 . -93) T) ((-1160 . -1056) 80770) ((-829 . -300) 80749) ((-1249 . -1221) 80715) ((-835 . -1118) T) ((-982 . -985) T) ((-682 . -111) 80694) ((-629 . -1236) T) ((-305 . -526) 80486) ((-1249 . -1224) 80452) ((-1249 . -238) 80357) ((-1244 . -379) T) ((-258 . -319) 80295) ((-257 . -319) 80233) ((-1241 . -856) T) ((-1178 . -626) NIL) ((-1178 . -625) 80215) ((-1160 . -388) 80199) ((-1138 . -832) T) ((-1138 . -936) T) ((-96 . -93) T) ((-1131 . -616) 80176) ((-1098 . -626) 80160) ((-1098 . -625) 80142) ((-1022 . -658) 80092) ((-930 . -658) 80029) ((-827 . -298) 80006) ((-496 . -625) 79938) ((-620 . -152) 79885) ((-499 . -729) 79835) ((-430 . -1076) T) ((-494 . -501) 79819) ((-439 . -658) 79778) ((-337 . -862) 79757) ((-350 . -660) 79731) ((-50 . -21) T) ((-50 . -25) T) ((-219 . -729) 79681) ((-171 . -736) 79652) ((-176 . -660) 79584) ((-593 . -21) T) ((-593 . -25) T) ((-530 . -25) T) ((-530 . -21) T) ((-487 . -152) 79534) ((-1079 . -625) 79516) ((-1011 . -102) T) ((-874 . -102) T) ((-828 . -916) 79452) ((-811 . -423) 79415) ((-40 . -132) T) ((-711 . -374) T) ((-713 . -738) T) ((-713 . -806) T) ((-713 . -803) T) ((-214 . -910) T) ((-592 . -1130) T) ((-576 . -1130) T) ((-507 . -1130) T) ((-370 . -625) 79397) 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. -319) 69564) ((-618 . -1118) T) ((-558 . -102) T) ((-118 . -132) T) ((-299 . -1067) T) ((-182 . -1118) T) ((-162 . -1118) T) ((-157 . -1118) T) ((-155 . -1118) T) ((-465 . -773) T) ((-31 . -1101) T) ((-979 . -174) 69515) ((-1191 . -916) 69458) ((-988 . -93) T) ((-1184 . -1118) T) ((-1098 . -1074) 69368) ((-633 . -806) 69347) ((-605 . -1118) T) ((-633 . -803) 69326) ((-633 . -738) T) ((-305 . -296) 69305) ((-304 . -1236) T) ((-1072 . -625) 69267) ((-1072 . -626) 69228) ((-1042 . -1130) T) ((-171 . -102) T) ((-284 . -862) T) ((-1143 . -916) 69212) ((-830 . -625) 69194) ((-1131 . -298) 69171) ((-1120 . -231) 69155) ((-1021 . -317) T) ((-811 . -729) 69139) ((-370 . -1074) 69091) ((-365 . -1130) T) ((-364 . -1074) 69043) ((-426 . -625) 69025) ((-396 . -625) 69007) ((-356 . -1074) 68959) ((-229 . -625) 68891) ((-1098 . -111) 68787) ((-1042 . -23) T) ((-108 . -1074) 68737) ((-913 . -102) T) ((-853 . -102) T) ((-820 . -102) T) ((-781 . -102) T) ((-689 . -102) T) ((-486 . -464) 68716) ((-430 . -174) T) ((-370 . -111) 68654) ((-364 . -111) 68592) ((-356 . -111) 68530) ((-258 . -233) 68499) ((-257 . -233) 68468) ((-365 . -23) T) ((-71 . -1236) T) ((-227 . -38) 68433) ((-108 . -111) 68367) ((-40 . -25) T) ((-40 . -21) T) ((-682 . -732) T) ((-171 . -294) 68345) ((-48 . -1130) T) ((-937 . -25) T) ((-783 . -25) T) ((-1310 . -660) 68319) ((-1168 . -501) 68256) ((-497 . -1118) T) ((-1301 . -658) 68215) ((-1259 . -102) T) ((-1080 . -1170) T) ((-867 . -102) T) ((-246 . -1076) 68193) ((-980 . -804) 68146) ((-980 . -807) 68099) ((-392 . -660) 68083) ((-48 . -23) T) ((-827 . -807) 68062) ((-827 . -804) 68041) ((-560 . -379) T) ((-305 . -616) 68020) ((-489 . -738) T) ((-583 . -102) T) ((-1098 . -628) 67838) ((-255 . -187) T) ((-189 . -187) T) ((-883 . -319) 67795) ((-665 . -296) 67774) ((-112 . -673) T) ((-362 . -1236) T) ((-370 . -628) 67711) ((-364 . -628) 67648) ((-356 . -628) 67585) ((-76 . -1236) T) ((-108 . -628) 67535) ((-112 . -113) T) ((-1080 . -38) 67522) ((-676 . -385) 67501) 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-916) 14288) ((-706 . -399) T) ((-1017 . -1015) 14272) ((-713 . -1130) T) ((-706 . -167) 14254) ((-794 . -916) 14197) ((-792 . -916) 14181) ((-1270 . -1118) T) ((-1249 . -1118) T) ((-1183 . -102) T) ((-326 . -1221) 14160) ((-326 . -1224) 14139) ((-466 . -916) 14116) ((-326 . -975) 14095) ((-135 . -1130) T) ((-117 . -1130) T) ((-665 . -1236) T) ((-614 . -1284) 14079) ((-713 . -23) T) ((-614 . -1118) 14029) ((-326 . -95) 14008) ((-91 . -526) 13941) ((-176 . -374) T) ((-258 . -628) 13739) ((-257 . -628) 13537) ((-326 . -35) 13516) ((-620 . -501) 13450) ((-135 . -23) T) ((-117 . -23) T) ((-982 . -102) T) ((-730 . -1118) T) ((-487 . -501) 13387) ((-419 . -651) 13335) ((-665 . -1056) 13231) ((-974 . -501) 13215) ((-366 . -1076) T) ((-363 . -1076) T) ((-355 . -1076) T) ((-273 . -1076) T) ((-253 . -1076) T) ((-883 . -626) NIL) ((-883 . -625) 13197) ((-1297 . -502) 13178) ((-1296 . -502) 13159) ((-1309 . -21) T) ((-1297 . -625) 13125) ((-1296 . -625) 13091) ((-583 . -1020) T) ((-743 . -738) T) ((-1309 . -25) T) ((-258 . -1067) 13069) ((-257 . -1067) 13047) ((-72 . -1236) T) ((-1160 . -235) 13020) ((-258 . -239) 12972) ((-257 . -239) 12924) ((-1138 . -238) T) ((-40 . -102) T) ((-926 . -1076) T) ((-706 . -909) NIL) ((-1200 . -102) T) ((-129 . -501) 12906) ((-1193 . -738) T) ((-1192 . -738) T) ((-1186 . -738) T) ((-1186 . -803) NIL) ((-1186 . -806) NIL) ((-970 . -102) T) ((-937 . -102) T) ((-882 . -1069) 12893) ((-1144 . -738) T) ((-783 . -102) T) ((-684 . -102) T) ((-882 . -652) 12880) ((-558 . -625) 12862) ((-486 . -1118) T) ((-350 . -1130) T) ((-176 . -1130) T) ((-329 . -936) 12841) ((-1270 . -729) 12682) ((-884 . -174) T) ((-1249 . -729) 12496) ((-855 . -21) 12448) ((-855 . -25) 12400) ((-251 . -1167) 12384) ((-127 . -526) 12317) ((-419 . -25) T) ((-419 . -21) T) ((-350 . -23) T) ((-171 . -626) 12083) ((-171 . -625) 12065) ((-176 . -23) T) ((-656 . -298) 12042) ((-532 . -34) T) ((-913 . -625) 12024) ((-89 . -1236) T) ((-853 . -625) 12006) ((-820 . -625) 11988) ((-781 . -625) 11970) ((-689 . -625) 11952) ((-246 . -660) 11785) ((-629 . -113) T) ((-1195 . -1118) T) ((-1191 . -1074) 11608) ((-1168 . -1236) T) ((-1143 . -1074) 11451) ((-866 . -1074) 11435) ((-1253 . -630) 11419) ((-1191 . -111) 11228) ((-1143 . -111) 11057) ((-866 . -111) 11036) ((-1243 . -862) T) ((-1259 . -626) NIL) ((-1259 . -625) 11018) ((-354 . -1170) T) ((-867 . -625) 11000) ((-1094 . -296) 10979) ((-80 . -1236) T) ((-921 . -1236) T) ((-1022 . -925) NIL) ((-1230 . -658) 10889) ((-620 . -296) 10865) ((-1222 . -526) 10798) ((-499 . -1236) T) ((-583 . -625) 10780) ((-487 . -296) 10759) ((-1105 . -233) 10743) ((-529 . -93) T) ((-1022 . -660) 10693) ((-219 . -1236) T) ((-1021 . -235) 10659) ((-974 . -296) 10611) ((-299 . -936) T) ((-829 . -317) 10590) ((-882 . -102) T) ((-794 . -233) 10574) ((-930 . -660) 10526) ((-723 . -658) 10476) ((-706 . -736) 10443) ((-647 . -21) T) ((-647 . -25) T) ((-619 . -21) T) ((-559 . -102) T) ((-354 . -38) 10408) ((-499 . -897) 10390) ((-499 . -899) 10372) ((-486 . -729) 10213) ((-219 . -897) 10195) ((-64 . -1236) T) ((-219 . -899) 10177) ((-619 . -25) T) ((-439 . -660) 10151) ((-1191 . -628) 9920) ((-499 . -1056) 9880) ((-884 . -526) 9792) ((-1143 . -628) 9584) ((-866 . -628) 9502) ((-219 . -1056) 9462) ((-246 . -34) T) ((-1018 . -1118) 9440) ((-592 . -1069) 9427) ((-576 . -1069) 9414) ((-507 . -1069) 9379) ((-1270 . -174) 9310) ((-1249 . -174) 9241) ((-592 . -652) 9228) ((-576 . -652) 9215) ((-507 . -652) 9180) ((-724 . -146) 9159) ((-724 . -148) 9138) ((-713 . -132) T) ((-137 . -477) 9115) ((-1165 . -625) 9047) ((-670 . -668) 9031) ((-129 . -296) 8981) ((-117 . -132) T) ((-489 . -1240) T) ((-620 . -616) 8957) ((-487 . -616) 8936) ((-347 . -346) 8905) ((-609 . -1118) T) ((-597 . -1118) T) ((-548 . -1118) T) ((-489 . -568) T) ((-1191 . -1067) T) ((-1143 . -1067) T) ((-866 . -1067) T) ((-246 . -806) 8884) ((-246 . -805) 8863) ((-1191 . -336) 8840) ((-246 . -738) 8818) ((-974 . -19) 8802) ((-499 . -388) 8784) ((-499 . -349) 8766) ((-1143 . -336) 8738) ((-365 . -1293) 8715) ((-219 . -388) 8697) ((-219 . -349) 8679) ((-974 . -616) 8656) ((-1191 . -239) T) ((-1282 . -1118) T) ((-676 . -1118) T) ((-657 . -1118) T) ((-1208 . -1118) T) ((-1105 . -260) 8593) ((-598 . -658) 8553) ((-366 . -1118) T) ((-363 . -1118) T) ((-355 . -1118) T) ((-273 . -1118) T) ((-253 . -1118) T) ((-84 . -1236) T) ((-128 . -102) 8531) ((-122 . -102) 8509) ((-1249 . -526) 8369) ((-1208 . -622) 8348) ((-1159 . -1118) T) ((-1133 . -628) 8329) ((-1098 . -936) 8280) ((-491 . -1118) T) ((-1022 . -806) T) ((-1022 . -803) T) ((-491 . -622) 8259) ((-258 . -807) 8238) ((-258 . -804) 8217) ((-257 . -807) 8196) ((-40 . -1170) NIL) ((-257 . -804) 8175) ((-1022 . -738) T) ((-129 . -19) 8157) ((-989 . -806) T) ((-711 . -1069) 8122) ((-930 . -738) T) ((-926 . -1118) T) ((-905 . -625) 8104) ((-129 . -616) 8079) ((-711 . -652) 8044) ((-91 . -501) 8028) ((-499 . -914) NIL) ((-884 . -300) T) ((-227 . -1074) 7993) ((-848 . -296) 7972) ((-219 . -914) NIL) ((-845 . -1130) 7951) ((-59 . -1118) 7901) ((-531 . -1118) 7879) ((-528 . -1118) 7829) ((-509 . -1118) 7807) ((-508 . -1118) 7757) ((-592 . -102) T) ((-576 . -102) T) ((-507 . -102) T) ((-486 . -174) 7688) ((-370 . -936) T) ((-364 . -936) T) ((-356 . -936) T) ((-227 . -111) 7644) ((-845 . -23) 7596) ((-439 . -738) T) ((-108 . -936) T) ((-40 . -38) 7541) ((-108 . -832) T) ((-593 . -360) T) ((-530 . -360) T) ((-670 . -658) 7500) ((-326 . -464) 7479) ((-323 . -464) T) ((-614 . -526) 7412) ((-419 . -235) 7385) ((-350 . -132) T) ((-176 . -132) T) ((-304 . -25) 7249) ((-304 . -21) 7132) ((-45 . -1212) 7111) ((-66 . -625) 7093) ((-55 . -102) T) ((-347 . -658) 7075) ((-1287 . -102) T) ((-1286 . -102) 7025) ((-45 . -107) 6975) ((-831 . -628) 6959) ((-1278 . -660) 6884) ((-1271 . -660) 6781) ((-1250 . -660) 6633) ((-1250 . -925) NIL) ((-1217 . -625) 6615) ((-1120 . -437) 6599) ((-1120 . -379) 6578) ((-398 . -628) 6562) ((-334 . -628) 6546) ((-1209 . -102) T) ((-1114 . -93) T) ((-1081 . -1236) T) ((-1105 . -658) 6456) ((-1080 . -1074) 6443) ((-1080 . -111) 6428) ((-968 . -1074) 6271) ((-968 . -111) 6100) ((-794 . -658) 6010) ((-792 . -658) 5920) ((-635 . -1069) 5907) ((-676 . -729) 5891) ((-635 . -652) 5878) ((-493 . -1074) 5721) ((-489 . -374) T) ((-473 . -658) 5677) ((-466 . -658) 5587) ((-227 . -628) 5537) ((-366 . -729) 5489) ((-363 . -729) 5441) ((-118 . -1069) 5386) ((-355 . -729) 5338) ((-273 . -729) 5187) ((-253 . -729) 5036) ((-1108 . -93) T) ((-1091 . -93) T) ((-118 . -652) 4981) ((-1084 . -93) T) ((-959 . -663) 4965) ((-1075 . -1118) 4943) ((-493 . -111) 4772) ((-1054 . -93) T) ((-1037 . -93) T) ((-959 . -384) 4756) ((-254 . -102) T) ((-979 . -47) 4735) ((-74 . -625) 4717) ((-724 . -238) T) ((-722 . -102) T) ((-711 . -102) T) ((-1 . -1118) T) ((-633 . -1130) T) ((-1106 . -625) 4699) ((-638 . -93) T) ((-1094 . -625) 4681) ((-926 . -729) 4646) ((-127 . -501) 4630) ((-495 . -93) T) ((-633 . -23) T) ((-402 . -23) T) ((-87 . -1236) T) ((-220 . -93) T) ((-620 . -625) 4612) ((-620 . -626) NIL) ((-487 . -626) NIL) ((-487 . -625) 4594) ((-362 . -25) T) ((-362 . -21) T) ((-50 . -658) 4553) ((-523 . -1118) T) ((-519 . -1118) T) ((-128 . -319) 4491) ((-122 . -319) 4429) ((-608 . -660) 4403) ((-607 . -660) 4328) ((-593 . -658) 4278) ((-227 . -1067) T) ((-530 . -658) 4208) ((-390 . -1020) T) ((-227 . -249) T) ((-227 . -239) T) ((-1080 . -628) 4180) ((-1080 . -630) 4161) ((-974 . -626) 4122) ((-974 . -625) 4034) ((-968 . -628) 3823) ((-882 . -38) 3810) ((-725 . -628) 3760) ((-1270 . -300) 3711) ((-1249 . -300) 3662) ((-493 . -628) 3447) ((-1138 . -464) T) ((-514 . -862) T) ((-326 . -1157) 3426) ((-1017 . -148) 3405) ((-1017 . -146) 3384) ((-507 . -319) 3371) ((-305 . -1212) 3350) ((-1203 . -625) 3332) ((-1202 . -625) 3314) ((-1201 . -625) 3296) ((-883 . -1074) 3241) ((-489 . -1130) T) ((-140 . -847) 3223) ((-115 . -847) 3204) ((-635 . -102) T) ((-1222 . -501) 3188) ((-258 . -379) 3167) ((-257 . -379) 3146) ((-1080 . -1067) T) ((-305 . -107) 3096) ((-131 . -625) 3078) ((-129 . -626) NIL) ((-129 . -625) 3022) ((-118 . -102) T) ((-968 . -1067) T) ((-883 . -111) 2951) ((-489 . -23) T) ((-465 . -1236) T) ((-493 . -1067) T) ((-1080 . -239) T) ((-968 . -336) 2920) ((-40 . -916) 2872) ((-493 . -336) 2829) ((-366 . -174) T) ((-363 . -174) T) ((-355 . -174) T) ((-273 . -174) 2740) ((-253 . -174) 2651) ((-979 . -1056) 2547) ((-529 . -502) 2528) ((-747 . -1056) 2499) ((-529 . -625) 2465) ((-430 . -1236) 2354) ((-1123 . -102) T) ((-1110 . -625) 2313) ((-1052 . -625) 2295) ((-706 . -1069) 2245) ((-1299 . -152) 2229) ((-1297 . -628) 2210) ((-1296 . -628) 2191) ((-1291 . -625) 2173) ((-1278 . -738) T) ((-706 . -652) 2123) ((-1271 . -738) T) ((-1250 . -803) NIL) ((-1250 . -806) NIL) ((-171 . -1074) 2033) ((-926 . -174) T) ((-883 . -628) 1963) ((-1250 . -738) T) ((-1021 . -353) 1937) ((-225 . -658) 1889) ((-1018 . -526) 1822) ((-855 . -862) 1801) ((-576 . -1170) T) ((-486 . -300) 1752) ((-608 . -738) T) ((-372 . -625) 1734) ((-332 . -625) 1716) ((-430 . -1056) 1612) ((-607 . -738) T) ((-419 . -862) 1563) ((-171 . -111) 1459) ((-845 . -132) 1411) ((-749 . -152) 1395) ((-1286 . -319) 1333) ((-499 . -317) T) ((-390 . -625) 1300) ((-532 . -1028) 1284) ((-390 . -626) 1198) ((-219 . -317) T) ((-142 . -152) 1180) ((-726 . -296) 1159) ((-499 . -1040) T) ((-592 . -38) 1146) ((-576 . -38) 1133) ((-507 . -38) 1098) ((-219 . -1040) T) ((-883 . -1067) T) ((-848 . -625) 1080) ((-839 . -625) 1062) ((-837 . -625) 1044) ((-828 . -925) 1023) ((-1310 . -1130) T) ((-1259 . -1074) 846) ((-867 . -1074) 830) ((-883 . -249) T) ((-883 . -239) NIL) ((-701 . -1236) T) ((-1310 . -23) T) ((-828 . -660) 719) ((-562 . -1236) T) ((-430 . -349) 703) ((-583 . -1074) 690) ((-1259 . -111) 499) ((-713 . -651) 481) ((-867 . -111) 460) ((-392 . -23) T) ((-171 . -628) 238) ((-1208 . -526) 30) ((-888 . -1118) T) ((-693 . -1118) T) ((-688 . -1118) T) ((-674 . -1118) T)) 
\ No newline at end of file
diff --git a/src/share/algebra/compress.daase b/src/share/algebra/compress.daase
index b9c5a50d..3f6e304c 100644
--- a/src/share/algebra/compress.daase
+++ b/src/share/algebra/compress.daase
@@ -1,5 +1,5 @@
 
-(30 . 3485769901)            
+(30 . 3485817771)            
 (4464 |Enumeration| |Mapping| |Record| |Union| |ofCategory| |isDomain|
  ATTRIBUTE |package| |domain| |category| CATEGORY |nobranch| AND |Join|
  |ofType| SIGNATURE "failed" "algebra" |OneDimensionalArrayAggregate&|
@@ -488,668 +488,668 @@
  |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |YoungDiagram|
  |ParadoxicalCombinatorsForStreams| |ZeroDimensionalSolvePackage|
  |IntegerLinearDependence| |IntegerMod| |Enumeration| |Mapping|
- |Record| |Union| |errorKind| |laguerre| |parents| |sizeLess?|
- |viewPhiDefault| |getIdentifier| |extendedEuclidean| |completeEval|
- |bothWays| |systemCommand| |inv| |ravel| |match?| |mathieu22|
- |leftRank| |antisymmetric?| |hexDigit| |matrixDimensions| |autoCoerce|
- |atoms| |besselJ| |critT| |rowEchelonLocal| |root| |mathieu12|
- |ground?| |reshape| |ScanRoman| |df2fi| |critBonD| |iflist2Result|
- |mirror| |fillPascalTriangle| |OMgetEndApp| |OMReadError?|
- |isConnected?| |clearTheIFTable| |ground| |jordanAlgebra?|
- |palglimint| |digamma| |call| |relationsIdeal| |viewZoomDefault|
- |ScanFloatIgnoreSpaces| |wronskianMatrix| |shiftRoots|
- |factorSFBRlcUnit| |leadingMonomial| |normal| |removeSuperfluousCases|
- |interval| |scalarMatrix| |upperCase?| |halfExtendedSubResultantGcd1|
- |sorted?| |factorList| |wordInGenerators| |biRank| |untab|
- |leadingCoefficient| |quotientByP| |OMsupportsCD?| |merge| |scale|
- |stFuncN| |s13acf| |just| |diagonalMatrix| |quickSort| |OMputError|
- |primitiveMonomials| |close| |generalizedContinuumHypothesisAssumed?|
- |opeval| |makeprod| |polyRDE| |karatsubaOnce| F |partialDenominators|
- |llprop| |monicRightFactorIfCan| |exists?| |difference| |reductum|
- |update| |updatF| |nextPrimitivePoly| |divide| |gcdcofactprim|
- |triangSolve| |polygon| |binomThmExpt| |palgLODE0| |lexGroebner|
- |diagonal?| |display| |f04qaf| |leftRankPolynomial| |component|
- |bumptab1| |largest| |OMcloseConn| |writeLine!|
- |functionIsContinuousAtEndPoints| |c06gsf| |numFunEvals3D| |nthFlag|
- |unit?| |d03faf| |prindINFO| |antiAssociative?| |gcdPrimitive|
- |rewriteIdealWithQuasiMonicGenerators| |showScalarValues| |car|
- |cycleRagits| |createNormalPrimitivePoly| |sequences| |laguerreL|
- |modulus| |problemPoints| |rombergo| |atrapezoidal| |modifyPoint|
- |subResultantGcdEuclidean| |integralDerivationMatrix| |check|
- |uniform01| |groebgen| |aspFilename| |trigs| |wholeRadix| |infLex?|
- |position| |totalfract| |crushedSet| |mainForm| |expr|
- |mightHaveRoots| |pointPlot| |OMread| |compound?| |imagk|
- |controlPanel| |input| ** |socf2socdf| |iisech| |approxSqrt| |cycle|
- |operation| |compdegd| |elem?| |tanAn| |maxIndex| |cosIfCan| |library|
- |bitTruth| |balancedBinaryTree| |tanIfCan| |fixedDivisor| |sin2csc|
- |belong?| |minus!| |universe| |powern| |patternMatch| |exprToXXP|
- |eisensteinIrreducible?| |maxint| |primextendedint| |paren|
- |removeSinSq| |perfectSqrt| |inverse| |genericRightNorm|
- |tanintegrate| |entry?| |size| |variable| |extractClosed| |chiSquare1|
- |iroot| |mindeg| |useNagFunctions| |factorByRecursion|
- |symmetricPower| |cycleSplit!| |lyndon| |iterators| |clipParametric|
- |ip4Address| |trapezoidal| |contours| |showAll?| |viewSizeDefault|
- |set| |drawComplex| |lfextendedint| |stFunc1| |tanSum|
- |fortranLiteral| |perfectNthPower?| |primes| |makeSUP| |c05pbf|
- |getDatabase| |d01bbf| |cAtanh| |e02bef| |environment| |previous|
- |divideIfCan!| |initializeGroupForWordProblem| |OMlistCDs|
- |ReduceOrder| |selectPolynomials| |listOfLists| |digit?| |palgextint|
- |selectOrPolynomials| |plotPolar| |reindex| |mappingAst| |f02adf|
- |shiftLeft| |OMputObject| |bivariateSLPEBR| |subMatrix| |rightMult|
- |BumInSepFFE| |fglmIfCan| |exprToUPS| |interpretString| |makeResult|
- |back| |prod| |cyclic?| |c02aff| |critpOrder| |s21bcf| |toroidal|
- |exprHasLogarithmicWeights| |leftMinimalPolynomial| |imports|
- |leftScalarTimes!| |lex| |say| |dfRange| |palgint| |true|
- |collectUnder| |errorInfo| |arguments| |startPolynomial| |mapCoef|
- |imagJ| |mappingMode| |euler| |padicallyExpand| |computeInt|
- |stopTableInvSet!| |lowerCase?| |stirling2| |category|
- |genericLeftTrace| |outputArgs| |complete| |typeLists| |lazyIntegrate|
- |reset| |node| |internalIntegrate0| |numerators|
- |rewriteIdealWithHeadRemainder| |sizeMultiplication| |domain|
- |rotatex| |d02raf| |endSubProgram| |hitherPlane| |lazyPseudoRemainder|
- |mainPrimitivePart| |insert| |xn| |parent| |solveRetract| |package|
- |iibinom| |nilFactor| |completeEchelonBasis| |write|
- |characteristicSerie| |monomial?| |inc| |uniform| |beauzamyBound|
- |stronglyReduced?| |exp| |logGamma| |principalAncestors| |save|
- |realEigenvalues| |radicalSolve| |univcase| |goodnessOfFit|
- |SturmHabichtCoefficients| |show| |normDeriv2| |d01anf| |substitute|
- |deleteProperty!| |setImagSteps| |reorder|
- |factorSquareFreeByRecursion| |recoverAfterFail| |recur| |weights|
- |rroot| |midpoint| |factor1| |representationType| |leftRecip|
- |autoReduced?| |rootDirectory| |trace| |sqfree| |componentUpperBound|
- |gderiv| |noValueMode| |unit| |linearPolynomials| |cCsch| |putGraph|
- |epilogue| |rotate| |symbolIfCan| |viewDefaults| |OMgetEndAttr|
- |stopMusserTrials| |listConjugateBases| |flexibleArray| |f04jgf|
- |mainExpression| |varList| |f02bbf| |partitions|
- |removeIrreducibleRedundantFactors| |linearPart| |idealiserMatrix|
- |zeroDimPrime?| |tubePoints| |mapmult| |exactQuotient!| |complexRoots|
- |countRealRoots| |monomialIntPoly| |nextsousResultant2| |freeOf?|
- |genericRightMinimalPolynomial| |powers| |domainTemplate| |edf2df|
- |s14aaf| |open| |showFortranOutputStack| |binarySearchTree| |xCoord|
- |createNormalElement| |e01daf| |pToHdmp| |printingInfo?| |clip|
- |bumprow| |UP2ifCan| |limit| |OMgetEndBind| |in?| |cSec|
- |sylvesterSequence| |writeInt8!| |shanksDiscLogAlgorithm| |iisin|
- |open?| |obj| |retractIfCan| |select!| |shiftRight| |rur| |double|
- |deepExpand| |mainVariable| |complexElementary| |leftUnits| |cache|
- |constant| |separateFactors| |presuper| |leadingBasisTerm|
- |readUInt32!| |iidsum| |fortranInteger| |option?|
- |generalizedEigenvector| |operations| |infix|
- |removeRedundantFactorsInPols| |radicalEigenvector| |fractRadix|
- |setlast!| |insertTop!| |totalDifferential| |minimalPolynomial|
- |romberg| |ffactor| |antiCommutator| |cyclicSubmodule|
- |brillhartTrials| |birth| |toseInvertibleSet| |log10| |generic|
- |pToDmp| |atom?| |mapBivariate| |ricDsolve| |homogeneous?|
- |numberOfDivisors| |readIfCan!| |useSingleFactorBound?| |c02agf|
- |exponential1| |bitand| |infinity| |arity| |f02bjf| |cot2tan|
- |quotient| |nodeOf?| |polygamma| |numberOfNormalPoly| |nthFactor|
- |coleman| |bitior| |cSech| |thetaCoord| |imagI| |nonLinearPart|
- |addMatch| |normalForm| |decimal| |packageCall| |keys| |legendreP|
- |makeVariable| |interpolate| |setOrder| |midpoints| |deepestInitial|
- |minColIndex| |legendre| |readUInt16!| |selectPDERoutines| |kernel|
- |distance| |factorial| |map| |pointColor| |relerror| |isQuotient|
- |trim| |limitedIntegrate| |UpTriBddDenomInv| |isList| |heapSort|
- |regularRepresentation| |singularAtInfinity?| |list| |number?| |eof?|
- |expintfldpoly| |print| |indiceSubResultantEuclidean| |pdct|
- |upperCase| |lhs| |hasoln| |generateIrredPoly| |tube| |draw|
- |internalInfRittWu?| |pdf2df| |resolve| |e02gaf|
- |internalLastSubResultant| |monicRightDivide| |charthRoot| |rhs|
- |replace| |mainVariable?| |trigs2explogs| |internalSubQuasiComponent?|
- |minRowIndex| |reduceLODE| |stFunc2| |s18acf|
- |degreeSubResultantEuclidean| |doublyTransitive?| |cCos|
- |leadingSupport| |vedf2vef| |read!| |stoseInvertibleSetsqfreg|
- |bfKeys| |extractTop!| |rotate!| |log2| |eulerPhi| |currentEnv|
- |baseRDEsys| |startTableInvSet!| |element?| |low| |rischNormalize|
- |kroneckerDelta| |convert| |categoryFrame| |infinityNorm|
- |algintegrate| |height| |bat| |printInfo!| |fractionFreeGauss!|
- |distribute| |LiePoly| |makeObject| |prepareSubResAlgo| |s19adf|
- |minimumDegree| |reduceBasisAtInfinity| |conjugates| |mkAnswer|
- |s18def| |isTimes| |credPol| |readInt8!| |times!| |coef| |finiteBasis|
- |squareFree| |semiSubResultantGcdEuclidean2|
- |selectOptimizationRoutines| |parts| |rational?| |every?|
- |whatInfinity| |evenInfiniteProduct| |ddFact| |dom|
- |functionIsOscillatory| |extractIndex| |argumentList!| |mpsode|
- |primlimitedint| |content| |superHeight| |viewThetaDefault|
- |badValues| |principalIdeal| |stoseIntegralLastSubResultant| Y
- |cPower| |fractRagits| |color| |closedCurve| |nthCoef|
- |strongGenerators| |iilog| |att2Result| |integralBasisAtInfinity|
- |optAttributes| |unrankImproperPartitions0| |rename| |dictionary|
- |getExplanations| |delay| |character?| |label| |internalIntegrate|
- |irDef| |zag| |zCoord| |tryFunctionalDecomposition|
- |lazyIrreducibleFactors| |setMaxPoints3D| |algebraicVariables|
- |outputFloating| |entry| |iiacoth| |power!| |OMputApp| |parametersOf|
- |denomLODE| |putProperty| |mulmod| |imagi| |critB| |fortranComplex|
- |outputBinaryFile| |alphanumeric?| |child?| |OMputEndObject|
- |OMreadStr| |setScreenResolution| |reducedDiscriminant| |tubeRadius|
- |e04jaf| |infiniteProduct| |singular?| |toseLastSubResultant|
- |totolex| |stoseInvertibleSet| |transcendent?| |cylindrical|
- |mapExpon| |f02agf| |sinh2csch| |makeViewport2D| |distFact| |e02ahf|
- |morphism| |s19aaf| |clipBoolean| |fortranLiteralLine|
- |removeRoughlyRedundantFactorsInPol| |fixPredicate| |ptFunc| |nary?|
- |OMputBind| |routines| |setfirst!| |normalElement| |extendedResultant|
- |incr| |push| |lepol| |algSplitSimple| |cAsech| |numberOfCycles|
- |mainValue| |localUnquote| |e01bff| |quadratic| |constructor| |hi|
- |addMatchRestricted| |iiasech| |f02akf| |conjugate| |tail| |s14baf|
- |maxRowIndex| |mainCoefficients| |usingTable?| |linkToFortran|
- |adaptive3D?| |invmod| |setMinPoints| |countRealRootsMultiple|
- |option| |fullPartialFraction| |initiallyReduce| |s15adf| |light|
- |showSummary| |hspace| |subCase?| |lfextlimint| |orbits| |d01ajf|
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- |euclideanNormalForm| |mergeFactors| |enterInCache| |find| |copy!|
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- |nextPartition| |point?| |rootNormalize| |integralMatrix| |s21bbf|
- |bottom!| |empty| |nullity| |roman| |coerce| * |rightExtendedGcd|
- |binomial| |ListOfTerms| |indices| |s17dlf| |setTopPredicate|
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- |standardBasisOfCyclicSubmodule| |permanent| |numer| |mvar| |e02daf|
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- |monicCompleteDecompose| |swapRows!| |complexNumericIfCan| |getRef|
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- |symbol?| |lowerCase| |mapUp!| |width| |shellSort| |conjug| >
- |asecIfCan| |listYoungTableaus| |splitConstant| |rootOf| |cycleTail|
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- |invertibleElseSplit?| |updatD| |exprHasAlgebraicWeight| |implies|
- |repeating?| |OMgetFloat| |probablyZeroDim?| |accuracyIF| |edf2efi|
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- |iterationVar| + |allRootsOf| |var2Steps| |value| |zeroVector|
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- |readUInt8!| |dimensionOfIrreducibleRepresentation| |options|
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- |showClipRegion| |groebner| |superscript| |df2st| |defineProperty|
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- |numberOfVariables| |concat!| |divideIfCan| |segment| |iiacos|
- |pushdown| |genericPosition| |insertMatch| |squareTop| |output|
- |string| |degreePartition| |s14abf| |innerSolve|
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- |operators| |zerosOf| |FormatRoman| |appendPoint| |npcoef| |nextPrime|
- |elements| |viewpoint| |updateStatus!| |complexZeros| |crest|
- |powerSum| |totalGroebner| |quote| |safeFloor| |zeroMatrix|
- |unknownEndian| |doubleDisc| |dark| |integerBound| |lfunc|
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- |removeZeroes| |rotatez| |wrregime| |ldf2lst|
- |primPartElseUnitCanonical!| |toseSquareFreePart| |d01amf|
- |fortranTypeOf| |position!| |parabolic| |imaginary| |atanIfCan|
- |extractBottom!| |coordinate| |basisOfNucleus| |d02bbf|
- |rightScalarTimes!| |continuedFraction| |d02kef|
- |stoseLastSubResultant| |over| |conditionP| |LazardQuotient|
- |lastSubResultantElseSplit| |bringDown| |buildSyntax| |divisors|
- |totalDegree| |semiIndiceSubResultantEuclidean| |expPot|
- |clipWithRanges| |selectNonFiniteRoutines| |interactiveEnv|
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- |upperCase!| |infRittWu?| |empty?| |rquo| |graeffe| |algebraicOf|
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- |points| |sort!| |minordet| |oneDimensionalArray|
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- |center| |last| |viewPosDefault| |nonSingularModel|
- |irreducibleRepresentation| |certainlySubVariety?| |Is| |genus|
- |OMParseError?| |nextNormalPrimitivePoly| |OMencodingXML| |assoc|
- |fi2df| |fortranLogical| |linearDependence| |indicialEquations|
- |charpol| |create| |computeCycleEntry| |s21bdf| |lfinfieldint|
- |writeBytes!| |formula| |s18aff| |semiResultantEuclideannaif|
- |var1Steps| |predicates| |coHeight| |c06ekf| |choosemon| |schema| F2FG
- |ScanArabic| |intermediateResultsIF| |diagonal| |lllp|
- |roughUnitIdeal?| |aQuadratic| |divideExponents| |s13adf|
- |irreducible?| |lazy?| |rangeIsFinite| |closedCurve?| |sPol| |ranges|
- |iFTable| |normInvertible?| |dequeue!| |clearTheFTable|
- |complexEigenvectors| |listBranches| |row| |central?| |complex?|
- |computeCycleLength| |algebraicDecompose| |cTan| |quasiRegular?|
- |rubiksGroup| |weierstrass| |radicalSimplify| |contractSolve|
- |setLength!| |mapMatrixIfCan| |polyPart| |fixedPoint| |norm| |trunc|
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- |blankSeparate| |noLinearFactor?| |s18aef| |testModulus| |isAtom|
- |putProperties| |semiResultantEuclidean1| |d01fcf|
- |transcendenceDegree| |contains?| |OMgetEndBVar| |setAdaptive3D|
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- |numberOfComputedEntries| |bfEntry| |expextendedint| |setrest!|
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- |aLinear| |explicitEntries?| |weighted| |OMgetType| |tRange|
- |primeFrobenius| |graphCurves| |prevPrime| |qqq| |coordinates|
- |karatsuba| |c06fpf| |numberOfChildren| |evaluate| |pastel|
- |numberOfComponents| |redmat| |isOp| |validExponential| |kmax|
- |clipPointsDefault| |vertConcat| |leftUnit| |c06fuf| |iiacsch|
- |factorAndSplit| |nthFractionalTerm| |cos2sec| |leastMonomial|
- |makeSeries| |testDim| |c06eaf| |disjunction| |genericRightTraceForm|
- |c06gcf| |top!| |ran| |e04mbf| |OMsetEncoding| |leaves| |rightOne|
- |dflist| |stoseInvertible?reg| |saturate| |extendedSubResultantGcd|
- |exp1| |Vectorise| |dmp2rfi| |pseudoRemainder| |rightAlternative?|
- |Nul| |nil| |figureUnits| |s17def| |alternating| |reduction|
- |macroExpand| |s17ajf| |OMUnknownSymbol?| |graphImage| |varselect|
- |makeMulti| |rspace| |rightRegularRepresentation| |isEquiv|
- |createLowComplexityNormalBasis| |mathieu23| |commutator| |high|
- |palgint0| |lighting| |cAtan| |chebyshevU| |hMonic| |split!|
- |palgRDE0| |commonDenominator| |swap!| |coerceL|
- |removeRedundantFactors| |squareFreePolynomial| |approximate|
- |factorOfDegree| |coefficients| |ramified?| |linears| |getMeasure|
- |rst| |c06ebf| |argument| |sum| |order| |complex| |constantLeft|
- |dimensionsOf| |factors| |quatern| |nativeModuleExtension| |extension|
- |transpose| |zero?| |bombieriNorm| |knownInfBasis|
- |univariatePolynomial| |deref| |clikeUniv| |polyred| |readInt16!|
- |move| |identification| |genericLeftDiscriminant| |ord| |bindings|
- |square?| |rank| |setPosition| |triangular?| |hcrf| |e04fdf|
- |modifyPointData| |point| |generalLambert| |janko2| |secIfCan| |cn|
- |powerAssociative?| |gensym| |tan2cot| |debug| |besselI| |zeroDim?|
- |failed| |setColumn!| |geometric| |splitSquarefree| |acothIfCan|
- |mainSquareFreePart| LODO2FUN |elementary| |factorsOfDegree|
- |rightMinimalPolynomial| D |intChoose| |adaptive| |changeThreshhold|
- |groebner?| |backOldPos| |invertible?| |close!| |leftLcm|
- |integralLastSubResultant| |doubleFloatFormat| |closed?| |series|
- |meshPar1Var| |padecf| |rowEchLocal| |selectFiniteRoutines|
- |dimensions| |makeTerm| |acschIfCan| |finite?| |showRegion|
- |printCode| |stoseInvertible?| |badNum| |expt| |mainMonomials|
- |leftMult| |s17adf| |constantOpIfCan| |pushuconst| |inf|
- |cyclePartition| |extendedIntegrate| |s17ahf| |subresultantSequence|
- |partition| |countable?| |derivative| |round| |super| |primintfldpoly|
- |lists| |logpart| |revert| |solve1| |leastAffineMultiple|
- |generalSqFr| |outputFixed| |min| |leftDiscriminant| |green|
- |closeComponent| |OMencodingSGML| |ref| |prepareDecompose|
- |nextIrreduciblePoly| |lyndonIfCan| |padicFraction| |printInfo|
- |c06gbf| |roughEqualIdeals?| |argumentListOf| |drawComplexVectorField|
- |complexSolve| |OMgetBind| |tracePowMod| |partialQuotients|
- |combineFeatureCompatibility| |denominators| |factorFraction|
- |headReduced?| |bivariatePolynomials| |lambert| |cap| |discreteLog|
- |checkPrecision| |dAndcExp| |writeUInt8!| |substring?| |normalized?|
- |complexExpand| |key| |fracPart| |twoFactor| |nextLatticePermutation|
- |module| |forLoop| |tubePointsDefault| |roughSubIdeal?| |separate|
- |f04mcf| |primextintfrac| |subNode?| |algebraic?| |leader| |increase|
- |iprint| |returns| |irVar| |suffix?| |inR?| |filename| |ParCond|
- |fortranDoubleComplex| |solveLinearPolynomialEquation| |makeop|
- |nullary| |genericLeftMinimalPolynomial| |cosh2sech| |f02wef|
- |integralBasis| |symbolTable| |loadNativeModule| |cycleEntry|
- |lazyEvaluate| |semiResultantReduitEuclidean| |consnewpol| |prefix?|
- |OMputString| |remove!| |child| |acotIfCan| |monomRDE|
- |pointColorDefault| |parse| |f04mbf| |completeHermite| |OMgetEndError|
- |iiatan| |fortran| |prinpolINFO| |multMonom| |overbar|
- |resultantReduit| |leastPower| |plus| |pushFortranOutputStack|
- |plenaryPower| |normal?| |positive?| |iiasec| |variationOfParameters|
- |fortranCarriageReturn| |stripCommentsAndBlanks| |OMputBVar|
- |lastSubResultantEuclidean| |popFortranOutputStack| |summation|
- |fractionPart| |subPolSet?| |cCosh| |createGenericMatrix| |setOfMinN|
- |coth2tanh| |convergents| |OMgetInteger| |outputAsFortran|
- |headReduce| |rightUnits| |pointSizeDefault| |singRicDE| |gramschmidt|
- |bezoutResultant| |readLine!| |setFormula!| |triangulate| |table| |Ci|
- |eigenvector| |asechIfCan| |createThreeSpace| |size?|
- |factorsOfCyclicGroupSize| |increment| |precision| |internal?|
- |derivationCoordinates| |times| |new| |f02axf| |trueEqual| |nullSpace|
- |generalInfiniteProduct| |leftTraceMatrix| |rightDiscriminant|
- |iExquo| |bivariate?| |f07adf| |infix?| |ptree| |getOrder|
- |makeGraphImage| |setMinPoints3D| |comparison| |df2ef| |flatten|
- |irCtor| |noncommutativeJordanAlgebra?| |HenselLift| |mask| |logIfCan|
- |besselK| |leftZero| |cross| |lyndon?| |init| |hostByteOrder|
- |subtractIfCan| |getMultiplicationMatrix| |generators| |torsionIfCan|
- |makingStats?| |unparse| |scanOneDimSubspaces| |e01bhf|
- |tryFunctionalDecomposition?| |pow| |e02baf| |zeroSetSplit| |cAcos|
- |monom| |PDESolve| |e01bef| |selectSumOfSquaresRoutines|
- |OMconnectTCP| |basisOfCentroid| |generic?| |newLine| |setEpilogue!|
- |tensorProduct| |rule| |setStatus| |singleFactorBound| |removeSinhSq|
- |unexpand| |numericalIntegration| |permutationRepresentation|
- |simplifyLog| |leviCivitaSymbol| |PollardSmallFactor| |topPredicate|
- |newReduc| |cycles| |harmonic| |associatedSystem| |getConstant|
- |setprevious!| |iomode| |common| |sub| |style| |alternative?| |host|
- |curryLeft| |script| |shrinkable| |increasePrecision| |hessian|
- |numberOfIrreduciblePoly| |bandedHessian| |getProperties| |stirling1|
- |setScreenResolution3D| |binaryTree| |diagonals| |title| |groebSolve|
- |lazyPquo| |normalizedDivide| |evenlambert| |e04dgf| |separateDegrees|
- |putColorInfo| |OMputAttr| |littleEndian| |resetBadValues|
- |clearDenominator| |rootSimp| |OMgetAtp| |left| |vector| |part?|
- |iiGamma| |supRittWu?| |vspace| |tex| |dihedral| |outerProduct|
- |OMgetVariable| |outputAsScript| |cycleElt| |externalList| |right|
- |differentiate| |viewWriteAvailable| |OMputEndAttr| |viewport2D|
- |collectUpper| |e| |withPredicates| |ODESolve| |fortranDouble|
- |oddInfiniteProduct| |definingEquations| |curve|
- |generalizedEigenvectors| |extractPoint| |Frobenius| |list?|
- |showArrayValues| |writeByte!| |constantOperator| |OMgetEndObject|
- |rightRemainder| |symbolTableOf| |trailingCoefficient| |nand|
- |directSum| |stoseInternalLastSubResultant| |OMgetBVar| |multiple?|
- |setPrologue!| |setStatus!| |graphStates| |nonQsign| |yellow|
- |functionIsFracPolynomial?| |swap| |numericalOptimization|
- |pointColorPalette| |outlineRender| |ratDenom| |qfactor|
- |lowerPolynomial| |bit?| |Si| |euclideanSize| |reducedSystem|
- |colorFunction| |c05nbf| |basisOfCommutingElements| |chiSquare|
- |f01bsf| |d02cjf| |overlabel| |asimpson| |closed| |shift| |anfactor|
- |twist| |readable?| |nsqfree| |any| |measure| |hash| |OMputSymbol|
- |limitPlus| |qroot| |regime| |groebnerFactorize| |OMclose| |e02bbf|
- |f01qcf| |count| |solveLinearPolynomialEquationByFractions| |rk4qc|
- |indiceSubResultant| |next| |tanNa| |currentCategoryFrame|
- |bipolarCylindrical| |exactQuotient| |getlo| |coerceListOfPairs|
- |myDegree| |binding| |numberOfFractionalTerms| |LyndonBasis|
- |cardinality| |reflect| |eigenvalues| |any?| |enumerate|
- |pmComplexintegrate| |changeVar| |messagePrint| |constDsolve|
- |unitNormalize| |generalizedInverse| |constantRight| |asinIfCan|
- |minPoly| |remainder| |symbol| |chineseRemainder|
- |basisOfRightNucleus| |surface| |subResultantsChain| |s17dcf|
- |signatureAst| |OMgetError| |listLoops| |palgLODE| |henselFact|
- |expression| |createMultiplicationTable| |mkIntegral|
- |normalizedAssociate| |evaluateInverse| |laplace| |fortranCharacter|
- |vconcat| |ldf2vmf| |isPower| |integer| |inconsistent?|
- |cyclotomicDecomposition| |printStatement| |yCoordinates|
- |setButtonValue| |binaryFunction| |An| |linear| |rarrow|
- |rightFactorIfCan| |identity| |Ei| |root?| |makeFR| |solid|
- |complexLimit| |replaceKthElement| |reify| |setIntersection| |cAcoth|
- |musserTrials| |fortranCompilerName|
- |removeRoughlyRedundantFactorsInPols| |iiacot| |raisePolynomial|
- |OMsupportsSymbol?| |polynomial| |iiasinh| |invmultisect|
- |setVariableOrder| |capacity| |cdr| |cExp| |setValue!| |support|
- |realZeros| |youngGroup| |minrank| |partialNumerators| |selectfirst|
- |Hausdorff| |f02ajf| |lookupFunction| |erf| |intensity| |result|
- |splitDenominator| |OMencodingUnknown| |redpps| |pseudoQuotient|
- |iiexp| |cAcosh| |li| |nextColeman| |removeDuplicates|
- |rangePascalTriangle| |hasSolution?| |trace2PowMod| |basicSet|
- |OMUnknownCD?| |roughBase?| |rischDE| |setAdaptive| |stack|
- |hypergeometric0F1| |tower| |normalizeAtInfinity| |pdf2ef|
- |laurentRep| |localAbs| |goto| |recip| |decomposeFunc| |neglist|
- |cTanh| |f07fef| |curveColor| |f01brf| |fprindINFO|
- |jordanAdmissible?| |acscIfCan| |column| |printTypes|
- |LazardQuotient2| |decompose| |linearAssociatedLog| |findCycle|
- |basis| |simpleBounds?| |e02aef| |mainDefiningPolynomial|
- |normalDeriv| |rootPoly| |removeDuplicates!| |calcRanges| |gcdprim|
- |eq| |hermiteH| |collectQuasiMonic| |inHallBasis?| |denomRicDE|
- |callForm?| |iter| |semiSubResultantGcdEuclidean1| |quadraticForm|
- |dim| |radix| |halfExtendedSubResultantGcd2| |length|
- |findConstructor| |drawStyle| |distdfact| |clearFortranOutputStack|
- |rationalApproximation| |leftRegularRepresentation| |readByte!|
- |integerIfCan| |complexNumeric| |removeCoshSq| |step| |scripts|
- |binaryTournament| |elColumn2!| |f04adf| |preprocess|
- |internalDecompose| |nlde| |shallowExpand| |explimitedint| |transform|
- |concat| |conjunction| |traverse| |isPlus| |abelianGroup| |test|
- |kernels| |leadingTerm| |dot| |flexible?| |intcompBasis| |s21baf|
- |blue| |cRationalPower| |localReal?| |factorGroebnerBasis| |fTable|
- |operator| |sts2stst| |safetyMargin| |perspective| |OMopenString|
- |retractable?| |iidprod| |chvar| |linGenPos| |multiplyExponents|
- |ignore?| |dioSolve| |c06fqf| |csubst| |OMencodingBinary| |addiag|
- |duplicates| |irForm| |tableForDiscreteLogarithm| |mainVariables|
- |divergence| |univariate| |ceiling| |digits| |uncouplingMatrices|
- |eulerE| |complexNormalize| |repeatUntilLoop| |cAcsch|
- |indicialEquation| |bounds| |lfintegrate| |Lazard2|
- |unrankImproperPartitions1| |exponential| |fixedPointExquo|
- |modularFactor| |linearlyDependent?| |lazyResidueClass| |one?|
- |OMreceive| |changeMeasure| |setAttributeButtonStep| |reducedForm|
- |children| |makeSin| |prefix| |baseRDE| |insertRoot!| |shallowCopy|
- |overlap| |genericRightDiscriminant| |factor| |cscIfCan| |edf2ef|
- |primitive?| |insertionSort!| |functorData| |fill!| |cothIfCan|
- |unvectorise| |sqrt| |setchildren!| |lifting| |prime| |monicModulo|
- |B1solve| |patternVariable| |cyclicGroup| |region| |quadratic?|
- |modularGcdPrimitive| |real| |leadingExponent| |showTheIFTable|
- |subscript| |lineColorDefault| |horizConcat| |tab1| |nor| |tubePlot|
- |BasicMethod| |OMgetAttr| |imag| |declare| |OMgetSymbol| |f01qef|
- |f01rdf| |polCase| |stop| |simpsono| |mix|
- |stiffnessAndStabilityFactor| |newSubProgram| |factorials|
- |youngDiagram| |directProduct| |heap| |e01sff| |stopTable!|
- |medialSet| |index?| |mr| |extract!| |leftGcd| |OMlistSymbols|
- |maxColIndex| |OMmakeConn| |lookup| |moebiusMu| |LyndonWordsList1|
- |d01asf| |outputMeasure| SEGMENT |dominantTerm| |axesColorDefault|
- |primaryDecomp| |compose| |brace| |kind| |quasiMonicPolynomials|
- |entries| |sincos| |exponents| |removeRedundantFactorsInContents|
- |fullDisplay| |postfix| |minIndex| |string?| |categories|
- |linearDependenceOverZ| |destruct| |iifact| |prem| |octon| |op|
- |reopen!| |primitivePart| |realElementary| |mantissa|
- |wordInStrongGenerators| |monic?| |depth| |iisqrt3| |froot| |csc2sin|
- |numerator| |algebraicCoefficients?| |nextPrimitiveNormalPoly|
- |lifting1| |typeForm| |taylorRep| |decrease| |LyndonCoordinates|
- |equality| |oddintegers| |coefficient| |getProperty| |s17aff|
- |sinhIfCan| |scripted?| |odd?| |level| |rightNorm| |roughBasicSet|
- |ocf2ocdf| |scaleRoots| |viewWriteDefault| |cAcot|
- |primPartElseUnitCanonical| |exportedOperators| |c06gqf| |mesh|
- |setErrorBound| |e02ajf| |moebius| |s17dhf| |monomial|
- |constantCoefficientRicDE| |reducedContinuedFraction| |setTex!|
- |unitCanonical| |sample| |resize| |lieAdmissible?| |commaSeparate|
- |subscriptedVariables| |anticoord| |multivariate| |cubic|
- |characteristicPolynomial| |node?| |OMputAtp| |factorset|
- |leftCharacteristicPolynomial| |seriesToOutputForm| |userOrdered?|
- |numberOfFactors| |partialFraction| |variables| |space|
- |inverseLaplace| |patternMatchTimes| |union| |charClass| |refine|
- |f02aff| |measure2Result| |exptMod| |iisqrt2| |univariatePolynomials|
- |setLabelValue| |rootProduct| |rightTraceMatrix| |infieldint| |split|
- |complexEigenvalues| |matrixConcat3D| |floor| |rootKerSimp|
- |removeCosSq| |semicolonSeparate| |basisOfMiddleNucleus| |infinite?|
- |specialTrigs| |shuffle| |selectsecond| |s20adf| |isImplies|
- |minimize| |d01gbf| |positiveSolve| |rootRadius| |minset|
- |lflimitedint| |yCoord| |resultantEuclideannaif| |solveInField| UP2UTS
- |totalLex| |viewDeltaYDefault| |setProperty| |double?| |rowEch|
- |linSolve| |airyAi| |extractIfCan| |resultantReduitEuclidean|
- |initTable!| |write!| |degreeSubResultant| |taylor|
- |multiEuclideanTree| |comp| |pile| |returnType!| |elliptic|
- |definingInequation| |hasPredicate?| |factorSquareFreePolynomial|
- |nthRootIfCan| |elRow1!| |discriminantEuclidean| |laurent| |cCsc|
- |arrayStack| |lastSubResultant| |univariate?| |pointData| |omError|
- |divisorCascade| |maxPoints3D| |ParCondList| |debug3D| |reverse|
- |puiseux| |exprex| |numberOfImproperPartitions| |real?|
- |elaborateFile| |leadingCoefficientRicDE| |nthr| |systemSizeIF|
- |compactFraction| |randnum| |getCurve| |po| |s20acf| |rk4a| |nil|
- |infinite| |arbitraryExponent| |approximate| |complex|
+ |Record| |Union| |rightDiscriminant| |sub| |An| |mvar|
+ |makeViewport3D| |rischNormalize| |eulerPhi| |partitions|
+ |argumentList!| |leftDiscriminant| |set| |rarrow| |UnVectorise|
+ |relativeApprox| |viewport3D| |realElementary| |fibonacci| |partition|
+ |endSubProgram| |represents| |assign| |Vectorise| |rootOf|
+ |viewDeltaYDefault| |validExponential| |harmonic| |complete|
+ |currentSubProgram| |mergeFactors| |slash| |setPoly| |allRootsOf|
+ |viewDeltaXDefault| |rootNormalize| |jacobi| |pole?| |newSubProgram|
+ |isMult| |over| |exponent| |definingPolynomial| |viewZoomDefault|
+ |tanQ| |moebiusMu| |listBranches| |clearTheSymbolTable| |lists|
+ |exprToXXP| |zag| |exQuo| |positive?| |viewPhiDefault| |callForm?|
+ |numberOfDivisors| |triangular?| |showTheSymbolTable| |exprToUPS|
+ |postfix| |moebius| |negative?| |viewThetaDefault| |getIdentifier|
+ |signature| |sumOfDivisors| |rewriteIdealWithRemainder| |printTypes|
+ |exprToGenUPS| |infix| |rightRecip| |zero?| |pointColorDefault|
+ |setButtonValue| |variable?| |sumOfKthPowerDivisors|
+ |rewriteIdealWithHeadRemainder| |newTypeLists| |localAbs| |search|
+ |vconcat| |leftRecip| |augment| |expr| |lineColorDefault|
+ |setAttributeButtonStep| |getConstant| |HermiteIntegrate| |remainder|
+ |typeLists| |universe| |hconcat| |leftPower| |lastSubResultant|
+ |axesColorDefault| |environment| |palgint| |headRemainder|
+ |externalList| |outputList| |complement| |rspace| |rightPower|
+ |lastSubResultantElseSplit| |unitsColorDefault| |irForm| |palgextint|
+ |roughUnitIdeal?| |typeList| |cardinality| |show| |vspace|
+ |derivationCoordinates| |invertibleSet| |pointSizeDefault|
+ |elaboration| |palglimint| |roughEqualIdeals?| |parametersOf|
+ |internalIntegrate0| |hspace| |one?| |invertible?| |variable|
+ |viewPosDefault| |select!| |palgRDE| |roughSubIdeal?| |fortranTypeOf|
+ |makeCos| |trace| |superHeight| |splitSquarefree|
+ |invertibleElseSplit?| |iterators| |viewSizeDefault|
+ |binarySearchTree| |delete!| |palgLODE| |roughBase?| |empty|
+ |subtractIfCan| |makeSin| |subHeight| |normalDenom|
+ |purelyAlgebraicLeadingMonomial?| |datalist| |viewDefaults| |nor| |dn|
+ |systemCommand| |splitConstant| |trivialIdeal?| |compound?|
+ |setPosition| |char| |subst| |checkPrecision| |iiGamma|
+ |doubleFloatFormat| |totalfract| |algebraicCoefficients?|
+ |viewWriteDefault| |sncndn| |pmComplexintegrate| |collectUpper|
+ |getOperands| |bitior| |iiabs| |messagePrint| |pushdterm|
+ |purelyTranscendental?| |viewWriteAvailable| |categoryFrame|
+ |pmintegrate| |collect| |getOperator| |bringDown| |members|
+ |pushucoef| |purelyAlgebraic?| |var1StepsDefault| |interactiveEnv|
+ |precision| |normal| |infieldint| |collectUnder| |nil?| |newReduc|
+ |padecf| |pushuconst| |prepareSubResAlgo| |var2StepsDefault| |cond|
+ |extendedint| |mainVariable?| |concat| |buildSyntax| |logical?| |pade|
+ |numberOfMonomials| |internalLastSubResultant| |tubePointsDefault|
+ |hypergeometric0F1| |sech| |limitedint| |mainVariables| |solve|
+ |character?| |root| |multiset| |integralLastSubResultant|
+ |tubeRadiusDefault| |rotatez| |csch| |operation| |integerIfCan|
+ |removeSquaresIfCan| |triangularSystems| |doubleComplex?| |objects|
+ |quotientByP| |float| |mergeDifference| |toseLastSubResultant|
+ |dimension| |rotatey| |asinh| |internalIntegrate|
+ |unprotectedRemoveRedundantFactors| |nativeModuleExtension| |base|
+ |squareFreePrim| |toseInvertible?| |setRow!| |crest| |rotatex| |acosh|
+ |infieldIntegrate| |removeRedundantFactors| |kroneckerDelta|
+ |hostByteOrder| |kind| |close!| |OMgetEndAttr| |oneDimensionalArray|
+ |nand| |compdegd| |toseInvertibleSet| |identity| |cfirst| |arg1|
+ |atanh| |limitedIntegrate| |certainlySubVariety?| |reindex|
+ |hostPlatform| |reopen!| |OMgetEndBind| |op| |binaryTournament|
+ |univcase| |toseSquareFreePart| |dictionary| |sts2stst| |arg2| |acoth|
+ |extendedIntegrate| |possiblyNewVariety?| |rootDirectory| |rightUnit|
+ |OMgetEndBVar| |consnewpol| |quotedOperators| |clikeUniv| |dioSolve|
+ |asech| |numer| |bumprow| |leftUnit| |OMgetEndError|
+ |resetAttributeButtons| |nsqfree| |rur| |newLine| |weierstrass|
+ |shrinkable| |conditions| |patternMatch| |variables| |denom| |bumptab|
+ |rightMinimalPolynomial| |OMgetEndObject| |getButtonValue| |copies|
+ |intChoose| |create| |match| |qqq| |options| |multiple|
+ |physicalLength!| |patternMatchTimes| |bumptab1|
+ |leftMinimalPolynomial| |OMgetInteger| |coefChoose| |enterInCache|
+ |integralBasis| |sayLength| |applyQuote| |physicalLength| |bernoulli|
+ |pi| |untab| |tree| |associatorDependence| |OMgetFloat|
+ |localIntegralBasis| |setnext!| |flexibleArray| |chebyshevT|
+ |infinity| |bat1| |lieAlgebra?| |OMgetVariable| |union| |lyndon|
+ |uniform| |any| |qualifier| |setprevious!| |string| |elseBranch|
+ |chebyshevU| |bat| |jordanAlgebra?| |OMgetString| |lyndon?| |binomial|
+ |mainExpression| |shanksDiscLogAlgorithm| |ruleset| |thenBranch|
+ |cyclotomic| |tab1| |noncommutativeJordanAlgebra?| |OMgetSymbol|
+ |numberOfComputedEntries| |poisson| |changeWeightLevel| |reflect|
+ |generalizedInverse| |euler| |kernel| |previous| |jordanAdmissible?|
+ |OMgetType| |rst| |geometric| |characteristicSerie| |reify| |imports|
+ |fixedDivisor| |connectTo| |lowerCase| |list| |complexNumeric|
+ |lieAdmissible?| |OMencodingBinary| |frst| |ridHack1| |binaryTree|
+ |characteristicSet| |functorData| |suchThat| |sequence| |laguerre|
+ |normalizedAssociate| |KrullNumber| |draw| |jacobiIdentity?|
+ |OMencodingSGML| |lazyEvaluate| |interpolate| |medialSet| |setLength!|
+ |separant| |readBytes!| |legendre| |normalize| |numberOfVariables|
+ |powerAssociative?| |OMencodingXML| |lazy?| |nullSpace| |isobaric?|
+ |readUInt32!| |dmpToHdmp| |outputArgs| |algebraicDecompose|
+ |lowerCase?| |alternative?| |OMencodingUnknown| |explicitlyEmpty?|
+ |nullity| |dominantTerm| |weights| |readInt32!| |hdmpToDmp|
+ |normInvertible?| |transcendentalDecompose| |bfEntry| |flexible?|
+ |omError| |explicitEntries?| |rowEchelon| |limitPlus|
+ |differentialVariables| |readUInt16!| |pToHdmp| |normFactors|
+ |internalDecompose| |makeObject| |bfKeys| |rightAlternative?|
+ |errorInfo| |matrixDimensions| |column| |split!| |extractBottom!|
+ |readInt16!| |hdmpToP| |center| |npcoef| |decompose| |coef|
+ |leftAlternative?| |errorKind| |matrixConcat3D| |row| |stack|
+ |setlast!| |extractTop!| |readUInt8!| |listexp| |dmpToP|
+ |upDateBranches| |label| |antiAssociative?| |OMReadError?| |setelt!|
+ |maxColIndex| |setrest!| |insertBottom!| |readInt8!| |pToDmp|
+ |characteristicPolynomial| |preprocess| |name| |associative?|
+ |OMUnknownSymbol?| |identityMatrix| |minColIndex| |setfirst!|
+ |insertTop!| |readByte!| |sylvesterSequence| |realEigenvalues|
+ |internalZeroSetSplit| |body| |antiCommutative?| |OMUnknownCD?|
+ |zeroMatrix| |maxRowIndex| |cycleSplit!| |bottom!| |typeForm|
+ |setFieldInfo| |sturmSequence| |realEigenvectors| |internalAugment|
+ |commutative?| |interpret| |OMParseError?| |mappingAst| |minRowIndex|
+ |concat!| |top!| |pol| |boundOfCauchy| |halfExtendedResultant2|
+ |possiblyInfinite?| |rightCharacteristicPolynomial| |OMwrite|
+ |nullary| |antisymmetric?| |cycleTail| |dequeue| |xn|
+ |sturmVariationsOf| |halfExtendedResultant1| |explicitlyFinite?|
+ |leftCharacteristicPolynomial| |po| |fixedPoint| |symmetric?|
+ |cycleLength| |recolor| |dAndcExp| |lazyVariations|
+ |extendedResultant| |nextItem| |rightNorm| |OMread| |recur|
+ |diagonal?| |cycleEntry| |drawComplex| |repSq| |point| |length|
+ |content| |subResultantsChain| |upperBound| |leftNorm| |OMreadFile|
+ |const| |square?| |invmultisect| |drawComplexVectorField| |option|
+ |expPot| |scripts| |totalDegree| |lazyPseudoQuotient| |lowerBound|
+ |rightTrace| |curry| |OMreadStr| |rectangularMatrix| SEGMENT
+ |multisect| |setRealSteps| |qPot| |minimumDegree|
+ |lazyPseudoRemainder| |iterationVar| |port| |leftTrace| |OMlistCDs|
+ |diag| |characteristic| |revert| |setImagSteps| |series| |lookup|
+ |monomials| |bernoulliB| |infiniteProduct| |someBasis| |OMlistSymbols|
+ |curryRight| |round| |generalLambert| |rootPoly| |setClipValue|
+ |normal?| |isPlus| |eulerE| |evenInfiniteProduct| |t| |sort!|
+ |OMsupportsCD?| |curryLeft| |fractionPart| |evenlambert| |goodPoint|
+ |option?| |basis| |isTimes| |numericIfCan| |oddInfiniteProduct|
+ |copyInto!| |OMsupportsSymbol?| |constantRight| |wholePart|
+ |oddlambert| |chvar| |range| |normalElement| |isExpt|
+ |complexNumericIfCan| |generalInfiniteProduct| |sorted?|
+ |OMunhandledSymbol| |constantLeft| |floor| |lambert|
+ |brillhartIrreducible?| |removeDuplicates| |colorFunction| |min|
+ |minimalPolynomial| |isPower| |FormatArabic| |showAll?| |LiePoly|
+ |OMreceive| |twist| |ceiling| |lagrange| |brillhartTrials| |find|
+ |curveColor| |position!| |rroot| |ScanArabic| |showAllElements|
+ |quickSort| |OMsend| |setsubMatrix!| |norm| |univariatePolynomial|
+ |clipParametric| |pointColor| |eof?| |qroot| |FormatRoman| |delay|
+ |unknown| |apply| |heapSort| |OMserve| |subMatrix| |mightHaveRoots|
+ |upperCase?| |integrate| |clip| |inputBinaryFile| |froot| |ScanRoman|
+ |findCycle| |first| |shellSort| |makeop| |swapColumns!| |refine|
+ |alphabetic?| |multiplyCoefficients| |clipBoolean| |increment| |xor|
+ |imag| |nthr| |ScanFloatIgnoreSpaces| |repeating?| |rest|
+ |outputSpacing| |opeval| |swapRows!| |middle| |quoByVar|
+ |directProduct| |style| |charpol| |case| |firstUncouplingMatrix|
+ |ScanFloatIgnoreSpacesIfCan| |repeating| |outputGeneral|
+ |evaluateInverse| |vertConcat| |roman| |coefficients| |toScale|
+ |solve1| |Zero| |integral| |numericalIntegration| |recip|
+ |outputFixed| |comp| |keys| |evaluate| |true| |horizConcat|
+ |recoverAfterFail| |stFunc1| |void| |pointColorPalette|
+ |innerEigenvectors| |One| |top| |primitiveElement| |rk4| |integers|
+ |outputFloating| |conjug| |squareTop| |showTheRoutinesTable| |stFunc2|
+ |curveColorPalette| |continue| |parseString| |nextPrime| |rk4a|
+ |oddintegers| |exp1| |adjoint| |elRow1!| |deleteRoutine!| |stFuncN|
+ |sort| |plusInfinity| |var1Steps| |unparse| |prevPrime| |rk4qc|
+ |mapmult| |log2| |arity| |elRow2!| |getExplanations| |fixedPointExquo|
+ |minusInfinity| |var2Steps| |binary| |primes| |rk4f| |deriv|
+ |equality| |rationalApproximation| |getDatabase| |elColumn2!|
+ |getMeasure| |ode1| |space| |packageCall| |id| |selectsecond|
+ |aromberg| |gderiv| |nary?| |relerror| |numericalOptimization|
+ |fractionFreeGauss!| |changeMeasure| |ode2| |tubePoints| |innerSolve1|
+ |asimpson| |elt| |selectfirst| |lo| |compose| |complexSolve|
+ |goodnessOfFit| |invertIfCan| |changeThreshhold| |ode| |random|
+ |tubeRadius| |innerSolve| |makeprod| |atrapezoidal| |addiag| |next|
+ |complexRoots| |whatInfinity| |copy!| |selectMultiDimensionalRoutines|
+ |mpsode| |weight| |makeEq| |property| |romberg| |lazyIntegrate|
+ |realRoots| |infinite?| |plus!| |selectNonFiniteRoutines| UP2UTS
+ |makeVariable| |modularGcdPrimitive| |disjunction| |simpson| |nlde|
+ |leadingTerm| |finite?| |minus!| |selectSumOfSquaresRoutines| UTS2UP
+ |finiteBound| |modularGcd| |conjunction| |trapezoidal| |powern|
+ |overlap| |pureLex| |leftScalarTimes!| |selectFiniteRoutines| LODO2FUN
+ |sortConstraints| |reduction| |isEquiv| |rombergo| |mapdiv| |hcrf|
+ |totalLex| |rightScalarTimes!| |selectODEIVPRoutines| RF2UTS
+ |sumOfSquares| |signAround| |insert| |isImplies| |simpsono|
+ |lazyGintegrate| |hclf| |reverseLex| |times!| |selectPDERoutines|
+ |magnitude| |splitLinear| |invmod| |isOr| |trapezoidalo| |power|
+ |leader| |writable?| |leftLcm| |power!| |selectOptimizationRoutines|
+ |cross| |capacity| |simpleBounds?| |powmod| |isAnd| |sup| |sincos|
+ |noLinearFactor?| |readable?| |rightExtendedGcd| |just|
+ |selectIntegrationRoutines| |dot| |mulmod| |isNot| |imagE| |sinhcosh|
+ |insertRoot!| |exists?| |rightGcd| |gradient| |routines| |hexDigit?|
+ |scan| |rootRadius| |submod| |isAtom| |imagk| |subresultantVector|
+ |extension| |rightExactQuotient| |divergence| |mainSquareFreePart|
+ |digit?| |graphCurves| |schwerpunkt| |addmod| |atoms| |imagj|
+ |primitivePart| |shallowExpand| |rightRemainder| |laplacian|
+ |mainPrimitivePart| |drawCurves| |setErrorBound| |symmetricRemainder|
+ |dual| |imagi| |pointData| |hessian| |mainContent| |scale|
+ |startPolynomial| |symbolTable| |positiveRemainder| |equiv| |octon|
+ |parent| |integralDerivationMatrix| |denomLODE| |bandedHessian|
+ |primitivePart!| |connect| |cycleElt| |bit?| |implies| |ODESolve|
+ |extractProperty| |integralRepresents| |indicialEquations| |jacobian|
+ |nextsubResultant2| |region| |computeCycleLength|
+ |pushFortranOutputStack| |algint| |merge!| |constDsolve|
+ |extractClosed| |integralCoordinates| |indicialEquation|
+ |bandedJacobian| |LazardQuotient2| |points| |computeCycleEntry|
+ |popFortranOutputStack| |showTheIFTable| |width| |extractIndex|
+ |yCoordinates| |denomRicDE| |duplicates| |super| |LazardQuotient|
+ |getGraph| |findConstructor| |putColorInfo| |outputAsFortran|
+ |rubiksGroup| |clearTheIFTable| |extractPoint|
+ |inverseIntegralMatrixAtInfinity| |leadingCoefficientRicDE|
+ |removeDuplicates!| |subResultantChain| |putGraph| Y |dualSignature|
+ |appendPoint| |youngGroup| |iFTable| |traverse|
+ |integralMatrixAtInfinity| |constantCoefficientRicDE| |linears|
+ |halfExtendedSubResultantGcd2| |graphs| |coerceP| |component|
+ |lexGroebner| |showIntensityFunctions| |defineProperty|
+ |inverseIntegralMatrix| |changeVar| |graphStates| |powerSum| |ranges|
+ |totalGroebner| |expint| |closeComponent| |integralMatrix| |ratDsolve|
+ |LyndonCoordinates| |mainForm| |graphState| |elementary| |pointLists|
+ |expressIdealMember| |clearCache| |diff| |modifyPoint|
+ |reduceBasisAtInfinity| |indicialEquationAtInfinity| |lift| |table|
+ |LyndonBasis| |rischDE| |makeViewport2D| |alternating|
+ |makeGraphImage| |principalIdeal| |algDsolve| |addPointLast|
+ |normalizeAtInfinity| |reduceLODE| |reduce| |new| |zeroDimensional?|
+ |rischDEsys| |viewport2D| |obj| |cyclic| |graphImage|
+ |LagrangeInterpolation| |complementaryBasis| |singRicDE| |fglmIfCan|
+ |monomRDE| |getPickedPoints| |dihedral| |groebSolve| |cache| |psolve|
+ |f04mbf| |insertionSort!| |integral?| |groebner| |polyRicDE| |li|
+ |baseRDE| |colorDef| |cap| |testDim| |wrregime| |f04mcf| |check|
+ |integralAtInfinity?| |ricDsolve| |lexTriangular| |polyRDE|
+ |intensity| |cup| |genericPosition| |rdregime| |f04qaf| |lprop|
+ |integralBasisAtInfinity| |triangulate| |squareFreeLexTriangular|
+ |monomRDEsys| |factor| |wreath| |lfunc| |bsolve| |f07adf| |llprop|
+ |ramified?| |solveInField| |belong?| |baseRDEsys| |getOrder|
+ |SFunction| |inHallBasis?| |dmp2rfi| |f07aef| |lllp|
+ |ramifiedAtInfinity?| |wronskianMatrix| |Ci| |weighted| |less?|
+ |skewSFunction| |reorder| |box| |vector| |se2rfi| |f07fdf| |lllip|
+ |singular?| |variationOfParameters| |Si| |rdHack1| |userOrdered?|
+ |cyclotomicDecomposition| |headAst| |pr2dmp| |differentiate| |f07fef|
+ |mesh?| |singularAtInfinity?| |lexico| |Ei| |midpoint| |largest|
+ |predicate| |cyclotomicFactorization| |heap| |hasoln| |s01eaf| |mesh|
+ |branchPoint?| |OMmakeConn| |linGenPos| |midpoints| |more?| |mapDown!|
+ |rangeIsFinite| |gcdprim| |ParCondList| |s13aaf| |polygon?|
+ |branchPointAtInfinity?| |size| |groebgen| |OMcloseConn| |left| **
+ |monomial| |realZeros| |setVariableOrder| |dom| |test|
+ |functionIsContinuousAtEndPoints| |gcdcofact| |redpps| |s13acf|
+ |polygon| |mapUp!| |byte| |rationalPoint?| |totolex| |OMconnInDevice|
+ |right| |multivariate| |mainCharacterization| |getVariableOrder|
+ |functionIsOscillatory| |gcdcofactprim| |B1solve| |s13adf|
+ |closedCurve?| |absolutelyIrreducible?| |OMconnOutDevice| |minPol|
+ |algebraicOf| |retractIfCan| |resetVariableOrder| |byteBuffer|
+ |changeName| |lintgcd| |factorset| |s14aaf| |closedCurve| |genus|
+ |computeBasis| |close| |OMconnectTCP| |ReduceOrder| |linear| |prime?|
+ |exprHasWeightCosWXorSinWX| |hex| |maxrank| |s14abf| |curve?|
+ |getZechTable| |OMbindTCP| |coord| |setref| |sample| |sqrt|
+ |exprHasAlgebraicWeight| |every?| |minrank| |s14baf| |curve|
+ |createZechTable| |anticoord| |leaves| |display| |OMopenFile| |deref|
+ |polynomial| |rationalFunction| |real| |title| |ravel|
+ |exprHasLogarithmicWeights| |any?| |minset| |s15adf| |point?|
+ |createMultiplicationTable| |units| |intcompBasis| |OMopenString|
+ |prefix| |ref| |taylorIfCan| |combineFeatureCompatibility| |host|
+ |reshape| |nextSublist| |s15aef| |enterPointData|
+ |createMultiplicationMatrix| |OMclose| |choosemon|
+ |radicalEigenvectors| |parameters| |removeZeroes| |sparsityIF|
+ |trueEqual| |overset?| |s17acf| |composites| |unary?|
+ |createLowComplexityTable| |OMsetEncoding| |int| |transform|
+ |radicalEigenvector| |taylorRep| |e| |stiffnessAndStabilityFactor|
+ |factorList| |ParCond| |s17adf| |components| |node| |nullary?|
+ |createLowComplexityNormalBasis| |OMputApp| |pack!|
+ |radicalEigenvalues| |factorSquareFree| |stiffnessAndStabilityOfODEIF|
+ |listConjugateBases| |redmat| |s17aef| |numberOfComposites|
+ |representationType| |input| |OMputAtp| |complexLimit| |eigenMatrix|
+ |henselFact| |map| |systemSizeIF| |matrixGcd| |s17aff| |regime|
+ |numberOfComponents| |brace| |kernels| |code| |createPrimitiveElement|
+ |library| |OMputAttr| |limit| |normalise| |hasHi|
+ |expenseOfEvaluationIF| |divideIfCan!| |s17agf| |sqfree|
+ |create3Space| |update| |eq| |operator| |has?|
+ |tableForDiscreteLogarithm| |OMputBind| |fortran| |linearlyDependent?|
+ |gramschmidt| |showSummary| |fmecg| |accuracyIF| |leastPower|
+ |inconsistent?| |s17ahf| |outputAsScript| |iter|
+ |factorsOfCyclicGroupSize| |optimize| |OMputBVar| |linearDependence|
+ |orthonormalBasis| |comparison| |commonDenominator|
+ |intermediateResultsIF| |idealiser| |numFunEvals| |s17ajf|
+ |outputAsTex| |sizeMultiplication| |OMputError| |solveLinear|
+ |antisymmetricTensors| |clearDenominator| |subscriptedVariables|
+ |idealiserMatrix| |setAdaptive| |assert| |s17akf| |abs|
+ |getMultiplicationMatrix| |OMputObject| |reducedSystem|
+ |createGenericMatrix| |splitDenominator| |convert| |central?|
+ |moduleSum| |adaptive?| |s17dcf| |Beta| |getMultiplicationTable|
+ |showAttributes| |OMputEndApp| |setDifference| |symmetricTensors|
+ |monicRightFactorIfCan| |level| |elliptic?| |mapUnivariate| |s17def|
+ |setScreenResolution| |digamma| |position| |primitive?| |OMputEndAtp|
+ |setIntersection| |tensorProduct| |rightFactorIfCan| |doubleResultant|
+ |mapUnivariateIfCan| |screenResolution| |s17dgf| |polygamma|
+ |numberOfIrreduciblePoly| |OMputEndAttr| |setUnion|
+ |permutationRepresentation| |leftFactorIfCan| |distdfact|
+ |mapMatrixIfCan| |setMaxPoints| |s17dhf| |Gamma|
+ |numberOfPrimitivePoly| |OMputEndBind| |substitute|
+ |completeEchelonBasis| |monicDecomposeIfCan| |separateDegrees|
+ |compile| |mapBivariate| |maxPoints| |s17dlf| |besselJ| |exp|
+ |numberOfNormalPoly| |OMputEndBVar| |duplicates?|
+ |createRandomElement| |monicCompleteDecompose| |trace2PowMod|
+ |fullDisplay| |setMinPoints| |s18acf| |besselY| |equation|
+ |createIrreduciblePoly| |mapGen| |OMputEndError| |numeric|
+ |cyclicSubmodule| |divideIfCan| |tracePowMod| |relationsIdeal|
+ |minPoints| |s18adf| |besselI| |createPrimitivePoly| |radical|
+ |OMputEndObject| |mapExpon| |standardBasisOfCyclicSubmodule|
+ |noKaratsuba| |irreducible?| |saturate| |parametric?| |s18aef|
+ |besselK| |createNormalPoly| |OMputInteger| |commutativeEquality|
+ |areEquivalent?| |karatsubaOnce| |decimal| |groebner?| |plotPolar|
+ |s18aff| |airyAi| |createNormalPrimitivePoly| |OMputFloat| |script|
+ |leftMult| |isAbsolutelyIrreducible?| |karatsuba| |innerint|
+ |groebnerIdeal| |debug3D| |s18dcf| |airyBi|
+ |createPrimitiveNormalPoly| |printInfo| |OMputVariable| |rightMult|
+ |meatAxe| |separate| |exteriorDifferential| |ideal| |numFunEvals3D|
+ |s18def| |subNode?| |nextIrreduciblePoly| |OMputString| |makeUnit|
+ |scanOneDimSubspaces| |pseudoDivide| |totalDifferential|
+ |leadingIdeal| |setAdaptive3D| |s19aaf| |infLex?| |nextPrimitivePoly|
+ |OMputSymbol| |tex| |reverse!| |expt| |pseudoQuotient| |homogeneous?|
+ |backOldPos| |adaptive3D?| |s19abf| |setEmpty!| |nothing|
+ |nextNormalPoly| |OMgetApp| |nthFactor| |showArrayValues| |composite|
+ |leadingBasisTerm| |generalPosition| |setScreenResolution3D| |s19acf|
+ |setStatus!| |nextNormalPrimitivePoly| |OMgetAtp| |nthExpon|
+ |showScalarValues| |subResultantGcd| |ignore?| |quotient|
+ |screenResolution3D| |s19adf| |setCondition!|
+ |nextPrimitiveNormalPoly| |OMgetAttr| |makeMulti| |solveRetract|
+ |resultant| |computeInt| |zeroDim?| |setMaxPoints3D| |s20acf|
+ |setValue!| |derivative| |leastAffineMultiple| |makeTerm| |OMgetBind|
+ |mainVariable| |qelt| |discriminant| |checkForZero| |inRadical?|
+ |maxPoints3D| |s20adf| |status| |constantOperator| |type| |qsetelt|
+ |reducedQPowers| |listOfMonoms| |OMgetBVar| |uniform01| |rem|
+ |pseudoRemainder| |logGamma| |in?| |setMinPoints3D| |s21baf| |empty?|
+ |rootOfIrreduciblePoly| |symmetricSquare| |normal01| |OMgetError|
+ |quo| |xRange| |shiftLeft| |initial| |element?| |s21bbf| |minPoints3D|
+ |splitNodeOf!| |cons| |write!| |factor1| |OMgetObject| |exponential1|
+ |yRange| |shiftRight| |clipWithRanges| |zeroDimPrime?| |s21bcf|
+ |tValues| |remove!| |dim| |read!| |symmetricProduct| |chiSquare1|
+ |OMgetEndApp| |div| |zRange| |karatsubaDivide| |numberOfHues|
+ |zeroDimPrimary?| |tRange| |s21bdf| |subNodeOf?| |iomode| |map!|
+ |symmetricPower| |OMgetEndAtp| |exponential| |exquo| |monicDivide|
+ |yellow| |primaryDecomp| |plot| |fortranCompilerName| |nodeOf?|
+ |qsetelt!| |directSum| |chiSquare| ~= |divideExponents| |iifact|
+ |contract| |pointPlot| |fortranLinkerArgs| |updateStatus!| |mat|
+ |solveLinearPolynomialEquationByFractions| |factorFraction| |#|
+ |unmakeSUP| |iibinom| |gensym| |calcRanges| |aspFilename|
+ |extractSplittingLeaf| |neglist| ~ |zero| |hasSolution?|
+ |componentUpperBound| |coerce| |makeSUP| |iiperm| |leadingSupport|
+ |dimensionsOf| |fixPredicate| |squareMatrix| |source| |multiEuclidean|
+ |linSolve| |blue| |construct| |vectorise| |iipow| |restorePrecision|
+ |transpose| |extendedEuclidean| |And| |LyndonWordsList| |green|
+ |extend| |iidsum| |redPol| |coerceListOfPairs| |antiCommutator| |trim|
+ |euclideanSize| |/\\| |LyndonWordsList1| |Or| |red| |acsch| |truncate|
+ |iidprod| |gbasis| |coercePreimagesImages| |commutator| |split|
+ |sizeLess?| |\\/| |Not| |lyndonIfCan| |whitePoint| |order| |ipow|
+ |critT| |listRepresentation| |associator| |replace| |simplifyPower|
+ |terms| |factorial| |critM| |permanent| |complexEigenvalues|
+ |upperCase!| |target| |number?| |cTanh| |cothIfCan| |squareFreePart|
+ |multinomial| |critB| |cycles| |complexEigenvectors| |upperCase|
+ |seriesSolve| |cCosh| |sechIfCan| |BumInSepFFE| |permutation|
+ |critBonD| |cycle| |isConnected?| |lowerCase!|
+ |constantToUnaryFunction| |cSinh| |cschIfCan| |multiplyExponents|
+ |stirling1| |critMTonD1| |initializeGroupForWordProblem|
+ |associatedSystem| |tubePlot| |cAcsc| |asinhIfCan| |size?|
+ |laurentIfCan| |stirling2| |critMonD1| |support| |e02ahf|
+ |stoseLastSubResultant| |uncouplingMatrices| |second|
+ |exponentialOrder| |open| |cAsec| |acoshIfCan| |eq?| |laurentRep|
+ |summation| |redPo| |wordInGenerators| |e02ajf|
+ |stoseInvertible?sqfreg| |third| |completeEval| |cAcot| |atanhIfCan|
+ |doublyTransitive?| |rationalPower| |factorials| |hMonic|
+ |wordInStrongGenerators| |e02akf| |stoseInvertibleSetsqfreg|
+ |lowerPolynomial| |cAtan| |acothIfCan| |knownInfBasis| |mkcomm|
+ |updatF| |orbits| |e02baf| |stoseInvertible?reg| |raisePolynomial|
+ |cAcos| |asechIfCan| |rootSplit| |cot2trig| |polarCoordinates| |sPol|
+ |orbit| |reset| |e02bbf| |stoseInvertibleSetreg| |escape| |bright|
+ |operations| |normalDeriv| |cAsin| |acschIfCan| |ratDenom|
+ |coth2trigh| |imaginary| F |updatD| |permutationGroup| |e02bcf|
+ |stoseInvertible?| |ord| |ran| |cCsc| |pushdown| |ratPoly| |csc2sin|
+ |elaborateFile| |minGbasis| |wordsForStrongGenerators| |write|
+ |e02bdf| |stoseInvertibleSet| |mkIntegral| |inc| |eval|
+ |highCommonTerms| |cSec| |pushup| |rootPower| |csch2sinh| |setelt|
+ |elaborate| |save| |lepol| |strongGenerators| |e02bef|
+ |stoseSquareFreePart| |radPoly| |mapCoef| |cCot| |reducedDiscriminant|
+ |rootProduct| |sec2cos| |solid| |prinshINFO| |generators| |e02daf|
+ |coleman| |sn| |nthCoef| |cTan| |idealSimplify| |rootSimp| |sech2cosh|
+ |copy| |solid?| |prindINFO| |bivariateSLPEBR| |e02dcf|
+ |inverseColeman| |error| |binomThmExpt| |cCos| |definingInequation|
+ |rootKerSimp| |sin2csc| |denominators| |fprindINFO|
+ |solveLinearPolynomialEquationByRecursion| EQ |e02ddf|
+ |listYoungTableaus| |leftRank| |pomopo!| |cSin| |definingEquations|
+ |generalizedContinuumHypothesisAssumed| |sinh2csch| |numerators|
+ |prinpolINFO| |factorByRecursion| |e02def| |makeYoungTableau|
+ |rightRank| |mapExponents| |cLog| |setStatus|
+ |generalizedContinuumHypothesisAssumed?| |tan2trig| |convergents|
+ |prinb| |factorSquareFreeByRecursion| |e02dff| |nextColeman|
+ |linearAssociatedLog| |cExp| |quasiAlgebraicSet| |doubleRank|
+ |tanh2trigh| |approximants| |critpOrder| |randomR| |e02gaf|
+ |nextLatticePermutation| |match?| |linearAssociatedOrder|
+ |cRationalPower| |radicalSimplify| |weakBiRank| |tan2cot| |autoCoerce|
+ |reducedForm| |makeCrit| |factorSFBRlcUnit| |e02zaf| |nextPartition|
+ |linearAssociatedExp| |cPower| |denominator| |biRank| |tanh2coth|
+ |partialQuotients| |virtualDegree| |charthRoot| |e04dgf|
+ |numberOfImproperPartitions| |setProperties| |createNormalElement|
+ |seriesToOutputForm| |numerator| |basisOfCommutingElements| |cot2tan|
+ |partialDenominators| |conditionsForIdempotents| |conditionP| |e04fdf|
+ |subSet| |setLabelValue| |iCompose| |quadraticForm|
+ |basisOfLeftAnnihilator| |coth2tanh| |partialNumerators|
+ |genericRightDiscriminant| |solveLinearPolynomialEquation| |e04gcf|
+ |unrankImproperPartitions0| |setProperty| |getCode| |taylorQuoByVar|
+ |back| |basisOfRightAnnihilator| |removeCosSq|
+ |reducedContinuedFraction| |genericRightTraceForm| |entry|
+ |factorSquareFreePolynomial| |e04jaf| |unrankImproperPartitions1|
+ |deleteProperty!| |printCode| |iExquo| |front| |basisOfLeftNucleus|
+ |removeSinSq| |push| |genericLeftDiscriminant| |factorPolynomial|
+ |e04mbf| |subresultantSequence| |printStatement| |getStream| |rotate!|
+ |basisOfRightNucleus| |removeCoshSq| |bindings| |genericLeftTraceForm|
+ |null| |squareFreePolynomial| |e04naf| |SturmHabichtSequence| |block|
+ |getRef| |dequeue!| |basisOfMiddleNucleus| |removeSinhSq| |cartesian|
+ |genericRightNorm| |e04ucf| |gcdPolynomial| |SturmHabichtCoefficients|
+ |not| |returns| |makeSeries| |enqueue!| |basisOfNucleus|
+ |expandTrigProducts| |polar| |genericRightTrace| |e04ycf| |torsion?|
+ |SturmHabicht| |and| |call| |mappingMode| |quatern| |basisOfCenter|
+ |fintegrate| |categories| |cylindrical|
+ |genericRightMinimalPolynomial| |f01brf| |torsionIfCan|
+ |countRealRoots| |or| |delete| |goto| |categoryMode| |imagK|
+ |basisOfLeftNucloid| |coefficient| |spherical| |rightRankPolynomial|
+ |getGoodPrime| |f01bsf| |SturmHabichtMultiple| |repeatUntilLoop|
+ |voidMode| |imagJ| |basisOfRightNucloid| |coHeight| |parabolic|
+ |genericLeftNorm| |badNum| |f01maf| |countRealRootsMultiple|
+ |associatedEquations| |whileLoop| |noValueMode| |imagI|
+ |basisOfCentroid| |extendIfCan| |unknownEndian| |parabolicCylindrical|
+ |genericLeftTrace| |mix| |f01mcf| |signatureAst| |arrayStack|
+ |forLoop| |jokerMode| |conjugate| |radicalOfLeftTraceForm|
+ |algebraicVariables| |bigEndian| |principalAncestors| |paraboloidal|
+ |genericLeftMinimalPolynomial| |doubleDisc| |f01qcf| |pop!| |sin?|
+ GF2FG |queue| |zeroSetSplitIntoTriangularSystems|
+ |ellipticCylindrical| |leftRankPolynomial| |f01qdf| |polyred|
+ |isQuotient| |push!| |zeroVector| FG2F |nthRoot| |zeroSetSplit|
+ |prolateSpheroidal| |generic| |padicFraction| |f01qef| |minordet|
+ |zeroSquareMatrix| F2FG |fractRadix| |reduceByQuasiMonic|
+ |exportedOperators| |oblateSpheroidal| |rightUnits| |padicallyExpand|
+ |f01rcf| |determinant| |identitySquareMatrix| |explogs2trigs|
+ |wholeRadix| |collectQuasiMonic| |bipolar| |leftUnits|
+ |numberOfFractionalTerms| |f01rdf| |diagonalProduct| |depth|
+ |lookupFunction| |trigs2explogs| |cycleRagits| |removeZero|
+ |bipolarCylindrical| |compBound| |nthFractionalTerm| |f01ref|
+ |diagonal| |cn| |encodingDirectory| |swap!| |prefixRagits|
+ |initiallyReduce| |toroidal| |tablePow| |f02aaf| |firstNumer| |height|
+ |diagonalMatrix| |attributeData| |fill!| |fractRagits| |headReduce|
+ |conical| |solveid| |firstDenom| |f02abf| |scalarMatrix|
+ |domainTemplate| |dec| |minIndex| |wholeRagits| |stronglyReduce|
+ |modTree| |testModulus| |compactFraction| |f02adf| |hermite|
+ |lSpaceBasis| |maxIndex| |radix| |rewriteSetWithReduction|
+ |multiEuclideanTree| |HenselLift| |partialFraction| |f02aef|
+ |completeHermite| |log10| |finiteBasis| |entry?| |randnum|
+ |autoReduced?| |complexZeros| |completeHensel| |gcdPrimitive| |f02aff|
+ |smith| |bitand| |principal?| |indices| |reseed| |initiallyReduced?|
+ |divisorCascade| |multMonom| |symmetricGroup| |f02agf| |completeSmith|
+ |divisor| |index?| |seed| |headReduced?| |graeffe| |build|
+ |alternatingGroup| |f02ajf| |diophantineSystem| |useNagFunctions|
+ |entries| |rational| |stronglyReduced?| |pleskenSplit| |leadingIndex|
+ |abelianGroup| |f02akf| |csubst| |rationalPoints| |key?| |rational?|
+ |reduced?| |reciprocalPolynomial| |leadingExponent| |cyclicGroup|
+ |f02awf| |particularSolution| |debug| |nonSingularModel| |failed|
+ |symbolIfCan| |rationalIfCan| |normalized?| |GospersMethod| |f02axf|
+ |dihedralGroup| |mapSolve| |substring?| D |algSplitSimple| |argument|
+ |setvalue!| |quasiComponent| |nextSubsetGray| |mathieu11| |f02bbf|
+ |quadratic| |hyperelliptic| |constantKernel| |setchildren!| |initials|
+ |firstSubsetGray| |f02bjf| |mathieu12| |cubic| |suffix?| |inspect|
+ |elliptic| |constantIfCan| |node?| |basicSet| |clipPointsDefault|
+ |mathieu22| |f02fjf| |quartic| |extract!| |kovacic| |nil| |infRittWu?|
+ |child?| |tail| |log| |drawToScale| |f02wef| |univariate| |mathieu23|
+ |prefix?| |aLinear| |putProperties| |laplace| |distance| |getCurve|
+ |init| |adaptive| |mathieu24| |f02xef| |aQuadratic| |decrease|
+ |getProperties| |macroExpand| |trailingCoefficient| |nodes|
+ |listLoops| |figureUnits| |f04adf| |janko2| |varList| |aCubic|
+ |increase| |arbitrary| |putProperty| |normalizeIfCan| |approximate|
+ |rename| |countable?| |closed?| |f04arf| |aQuartic| |setColumn!|
+ |getProperty| |complex| |polCase| |rename!| |Aleph| |open?| |complex?|
+ |moduloP| |f04asf| |radicalSolve| |scopes| |distFact| |mainValue|
+ |setClosed| |double?| |modulus| |f04atf| |radicalRoots| |eigenvalues|
+ |print| |identification| |mainDefiningPolynomial| |tube| |properties|
+ |ffactor| |digits| |f04axf| |infix?| |contractSolve| |eigenvector|
+ |resolve| |unitVector| |translate| |qfactor| |continuedFraction|
+ |mask| |f04faf| |decomposeFunc| |declare| |bag|
+ |generalizedEigenvector| |varselect| |probablyZeroDim?| |cosSinInfo|
+ |UP2ifCan| |light| |f04jgf| |unvectorise| |binding|
+ |generalizedEigenvectors| |kmax| |selectPolynomials| |loopPoints|
+ |anfactor| |pastel| |f04maf| |bubbleSort!| |eigenvectors| |ksec|
+ |selectOrPolynomials| |generalTwoFactor| |fortranCharacter| |dark|
+ |factorAndSplit| |vark| |selectAndPolynomials| |generalSqFr|
+ |fortranDoubleComplex| |getSyntaxFormsFromFile| GE |myDegree|
+ |currentCategoryFrame| |constantOpIfCan| |rightOne|
+ |removeConstantTerm| |quasiMonicPolynomials| |twoFactor|
+ |fortranComplex| |surface| GT |normDeriv2| |currentScope|
+ |integerBound| |leftOne| |mkPrim| |univariate?| |setOrder| |say|
+ |fortranLogical| |coordinate| LE |plenaryPower| |pushNewContour|
+ |delta| |rightZero| |intPatternMatch| |univariatePolynomials|
+ |fortranInteger| |conjugates| LT |c02aff| |findBinding| |leftZero|
+ |primintegrate| |linear?| |tab| |fortranDouble| |shuffle| |c02agf|
+ |contours| |plus| |swap| |expintegrate| |linearPolynomials| |lex|
+ |fortranReal| |shufflein| |c05adf| |structuralConstants| |minPoly|
+ |tanintegrate| |bivariate?| |slex| |external?| |shift| |sequences|
+ |c05nbf| |coordinates| |freeOf?| |primextendedint|
+ |bivariatePolynomials| |inverse| |remove| |scalarTypeOf|
+ |permutations| |c05pbf| |bounds| |Hausdorff| |operators|
+ |expextendedint| |removeRoughlyRedundantFactorsInPols| |maxrow|
+ |fortranCarriageReturn| |makeResult| |c06eaf| |high| |times|
+ |Frobenius| |mainKernel| |primlimitedint|
+ |removeRoughlyRedundantFactorsInPol| |tableau| |last| |littleEndian|
+ |fortranLiteral| |is?| |c06ebf| |low| |generator|
+ |transcendenceDegree| |setright!| |distribute| |explimitedint|
+ |mantissa| |interReduce| |listOfLists| |assoc| |fortranLiteralLine|
+ |Is| |c06ecf| |subset?| |extensionDegree| |setleft!|
+ |functionIsFracPolynomial?| |primextintfrac| |roughBasicSet| |tanSum|
+ |processTemplate| |addMatchRestricted| |c06ekf| |symmetricDifference|
+ |inGroundField?| |problemPoints| BY |primlimintfrac| |crushedSet|
+ |tanAn| |makeFR| |condition| |insertMatch| |c06fpf| |difference|
+ |monom| |transcendent?| |zerosOf| |primintfldpoly|
+ |rewriteSetByReducingWithParticularGenerators| |tanNa| |musserTrials|
+ |addMatch| |c06fqf| |intersect| |algebraic?| |singularitiesOf|
+ |expintfldpoly| |rewriteIdealWithQuasiMonicGenerators| |initTable!|
+ |stopMusserTrials| |getMatch| |c06frf| |part?| |sh| |polynomialZeros|
+ |monomialIntegrate| |squareFreeFactors| |printInfo!| |erf|
+ |numberOfFactors| |c06fuf| |failed?| |before?| |output| |common|
+ |mirror| |f2df| |monomialIntPoly| |univariatePolynomialsGcds|
+ |startStats!| |modularFactor| |optpair| |c06gbf| |latex| |monomial?|
+ |ef2edf| |inverseLaplace| |removeRoughlyRedundantFactorsInContents|
+ |printStats!| |constant| |useSingleFactorBound?| |getBadValues|
+ |c06gcf| |member?| |constructor| |rquo| |ocf2ocdf|
+ |inputOutputBinaryFile| |removeRedundantFactorsInContents|
+ |clearTable!| |dilog| |useSingleFactorBound| |resetBadValues| NOT
+ |c06gqf| |enumerate| |incr| |lquo| |socf2socdf| |closed|
+ |removeRedundantFactorsInPols| |usingTable?| |sin|
+ |useEisensteinCriterion?| |function| |hasTopPredicate?| OR |c06gsf|
+ |setOfMinN| |hi| |mindegTerm| |df2fi| |bothWays| |irreducibleFactors|
+ |printingInfo?| |cos| |useEisensteinCriterion| |d01ajf| |topPredicate|
+ AND |elements| |rightTrim| |product| |edf2fi| |bytes|
+ |lazyIrreducibleFactors| |makingStats?| |tan| |eisensteinIrreducible?|
+ |d01akf| |setTopPredicate| |replaceKthElement| |leftTrim|
+ |LiePolyIfCan| |edf2df| |ip4Address|
+ |removeIrreducibleRedundantFactors| |extractIfCan| |cot|
+ |tryFunctionalDecomposition?| |patternVariable| |d01alf|
+ |incrementKthElement| |trunc| |expenseOfEvaluation| |iprint|
+ |normalForm| |insert!| |sec| |tryFunctionalDecomposition|
+ |withPredicates| |d01amf| |cdr| |degree| |numberOfOperations| |elem?|
+ |changeBase| |interpretString| |csc| |symbol| |btwFact|
+ |setPredicates| |d01anf| |car| |quasiRegular| |edf2efi| |notelem|
+ |companionBlocks| |stripCommentsAndBlanks| |asin| |expression|
+ |beauzamyBound| |predicates| |d01apf| |float?| |quasiRegular?|
+ |dfRange| |logpart| |xCoord| |setPrologue!| |acos| |bombieriNorm|
+ |integer| |hasPredicate?| |destruct| |d01aqf| |integer?| |constant?|
+ |dflist| |ratpart| |yCoord| |morphism| |setTex!| |atan| |rootBound|
+ |optional?| |d01asf| |symbol?| |mindeg| |df2mf| |mkAnswer| |zCoord|
+ |balancedFactorisation| |setEpilogue!| |acot| |singleFactorBound|
+ |multiple?| |d01bbf| |string?| |maxdeg| |ldf2vmf| |irDef| |rCoord|
+ |prologue| |asec| |quadraticNorm| |generic?| * |d01fcf| |list?| |lhs|
+ |RemainderList| |edf2ef| |irCtor| |thetaCoord| |epilogue| |acsc|
+ |infinityNorm| |lcm| |quoted?| |d01gaf| |pair?| |rhs| |unexpand|
+ |vedf2vef| |irVar| |phiCoord| |endOfFile?| |sinh| |scaleRoots| |inR?|
+ |d01gbf| |atom?| |generate| |shape| |df2st| |perfectNthPower?| |color|
+ |readIfCan!| |shiftRoots| |cosh| |append| |d02bbf| |isList| |hash| =
+ |null?| |currentEnv| |youngDiagram| |f2st| |perfectNthRoot| |hue|
+ |pattern| |readLineIfCan!| |tanh| |degreePartition| |count| |isOp|
+ |gcd| |d02bhf| |startTable!| |incrementBy| |triangSolve| |ldf2lst|
+ |approxNthRoot| |shade| |readLine!| |factorOfDegree| |coth| |d02cjf|
+ |satisfy?| |false| |lp| < |stopTable!| |expand| |univariateSolve|
+ |category| |sdf2lst| |perfectSquare?| |nthRootIfCan| |ptree|
+ |writeLine!| |factorsOfDegree| |flatten| |d02ejf| |addBadValue| >
+ |supDimElseRittWu?| |filterWhile| |realSolve| |domain| |getlo|
+ |perfectSqrt| |expIfCan| |loadNativeModule| |sign| |pascalTriangle|
+ |d02gaf| |badValues| <= |algebraicSort| |filterUntil| |positiveSolve|
+ |package| |gethi| |approxSqrt| |logIfCan| |message| |nonQsign|
+ |rangePascalTriangle| |d02gbf| |retractable?| >= |moreAlgebraic?|
+ |select| |squareFree| |outputMeasure| |generateIrredPoly| |sinIfCan|
+ |direction| |hexDigit| |sizePascalTriangle| |ListOfTerms| |d02kef|
+ |subTriSet?| |linearlyDependentOverZ?| |double| |measure2Result|
+ |complexExpand| |cosIfCan| |parts| |createThreeSpace| |digit|
+ |fillPascalTriangle| |PDESolve| |d02raf| |subPolSet?|
+ |linearDependenceOverZ| |att2Result| |complexIntegrate| |tanIfCan|
+ |cyclicParents| |safeCeiling| |d03edf| |leftFactor|
+ |internalSubPolSet?| + |solveLinearlyOverQ| |iflist2Result|
+ |dimensionOfIrreducibleRepresentation| |cotIfCan| |cyclicEqual?|
+ |zeroOf| |parents| |safeFloor| |d03eef| |rightFactorCandidate|
+ |internalInfRittWu?| - |pdf2ef| |irreducibleRepresentation| |secIfCan|
+ |cyclicEntries| |rootsOf| |safetyMargin| |d03faf| |measure|
+ |internalSubQuasiComponent?| / |pdf2df| |checkRur| |cscIfCan| |rule|
+ |cyclicCopy| |sumSquares| |coerceImages| |e01baf| |subQuasiComponent?|
+ |makeRecord| |df2ef| |cAcsch| |asinIfCan| |cyclic?|
+ |euclideanNormalForm| |e01bef| |fixedPoints| |outerProduct|
+ |removeSuperfluousQuasiComponents| |fi2df| |cAsech| |acosIfCan|
+ |complexNormalize| |euclideanGroebner| |odd?| |e01bff| |subCase?|
+ |declare!| |cAcoth| |atanIfCan| |complexElementary|
+ |factorGroebnerBasis| |even?| |e01bgf| |removeSuperfluousCases|
+ |linearMatrix| |cAtanh| |acotIfCan| |setleaves!| |trigs|
+ |groebnerFactorize| |numberOfCycles| |e01bhf| |prepareDecompose|
+ |linearPart| |cAcosh| |asecIfCan| |balancedBinaryTree| |real?|
+ |credPol| |cyclePartition| |e01daf| |branchIfCan| |rules|
+ |nonLinearPart| |cAsinh| |acscIfCan| |complexForm| |e01saf|
+ |startTableGcd!| |quadratic?| |cCsch| |sinhIfCan| |UpTriBddDenomInv|
+ |deepExpand| |rightQuotient| |makeSketch| |e01sbf| |step|
+ |stopTableGcd!| |changeNameToObjf| |cSech| |coshIfCan|
+ |LowTriBddDenomInv| |clearFortranOutputStack| |rightLcm| |inrootof|
+ |e01sef| |startTableInvSet!| |optAttributes| |cCoth| |tanhIfCan|
+ |simplify| |showFortranOutputStack| |leftExtendedGcd| |e01sff|
+ |stopTableInvSet!| |Nul| |segment| |sylvesterMatrix| |htrigs|
+ |topFortranOutputStack| |leftGcd| |e02adf| |stosePrepareSubResAlgo|
+ |exponents| |algintegrate| |max| |bezoutMatrix| |simplifyExp|
+ |setFormula!| |leftExactQuotient| |e02aef|
+ |stoseInternalLastSubResultant| |iisqrt2| |palgintegrate|
+ |resultantEuclidean| |simplifyLog| |linkToFortran| |leftRemainder|
+ |e02agf| |stoseIntegralLastSubResultant| |iisqrt3| |palginfieldint|
+ |semiResultantEuclidean2| |expandPower|
+ |setLegalFortranSourceExtensions| |leftQuotient| |iiexp| |bitLength|
+ |semiResultantEuclidean1| |expandLog| |fracPart| |monicLeftDivide|
+ |ddFact| |halfExtendedSubResultantGcd1| |iilog| |bitCoef|
+ |indiceSubResultant| |key| |cos2sec| |polyPart| |monicRightDivide|
+ |separateFactors| |extendedSubResultantGcd| |iisin| |bitTruth|
+ |indiceSubResultantEuclidean| |cosh2sech| |fullPartialFraction|
+ |exptMod| |leftDivide| |exactQuotient!| |value| |iicos| |contains?|
+ |semiIndiceSubResultantEuclidean| |filename| |primeFrobenius|
+ |rightDivide| |meshPar2Var| |exactQuotient| |iitan| |inf|
+ |degreeSubResultant| |optional| |addPoint2| |discreteLog| |hermiteH|
+ |meshFun2Var| |primPartElseUnitCanonical!| |iicot| |qinterval|
+ |degreeSubResultantEuclidean| |addPoint| |formula| |parse|
+ |decreasePrecision| |laguerreL| |meshPar1Var|
+ |primPartElseUnitCanonical| |iisec| |interval|
+ |semiDegreeSubResultantEuclidean| |merge| |stop| |increasePrecision|
+ |legendreP| |ptFunc| |lazyResidueClass| |iicsc| |unit?|
+ |lastSubResultantEuclidean| |mr| |arguments| |deepCopy| |bits|
+ |writeBytes!| |minimumExponent| |monicModulo| |lighting| |iiasin|
+ |associates?| |semiLastSubResultantEuclidean| |shallowCopy|
+ |unitNormalize| |writeUInt8!| |maximumExponent| |lazyPseudoDivide|
+ |clipSurface| |iiacos| |unitCanonical| |subResultantGcdEuclidean|
+ |numberOfChildren| |nrows| |result| |unit| |writeInt8!| |rowEch|
+ |lazyPremWithDefault| |showClipRegion| |applyRules| |iiatan|
+ |unitNormal| |semiSubResultantGcdEuclidean2| |children| |ncols|
+ |flagFactor| |writeByte!| |rowEchLocal| |lazyPquo| |showRegion|
+ |localUnquote| |iiacot| |lfextendedint|
+ |semiSubResultantGcdEuclidean1| |child| |sqfrFactor| |isOpen?|
+ |rowEchelonLocal| |lazyPrem| |tower| |hitherPlane| |iiasec|
+ |lflimitedint| |discriminantEuclidean| |birth| |primeFactor|
+ |outputBinaryFile| |normalizedDivide| |pquo| |eyeDistance| |iiacsc|
+ |lfinfieldint| |semiDiscriminantEuclidean| |internal?| |nthFlag|
+ |blankSeparate| |maxint| |prem| |taylor| |perspective| |iisinh|
+ |comment| |lfintegrate| |chainSubResultants| |root?| |nthExponent|
+ |semicolonSeparate| |binaryFunction| |supRittWu?| |laurent| |zoom|
+ |iicosh| |lfextlimint| |schema| |leaf?| |irreducibleFactor|
+ |commaSeparate| |makeFloatFunction| |RittWuCompare| |puiseux| |rotate|
+ |iitanh| |BasicMethod| |resultantReduit| |outputForm| |matrix| |index|
+ |factors| |pile| |unaryFunction| |mainMonomials| |drawStyle| |iicoth|
+ |PollardSmallFactor| |resultantReduitEuclidean| |argscript|
+ |bezoutResultant| |nilFactor| |paren| |compiledFunction|
+ |mainCoefficients| |inv| |outlineRender| |lambda| |iisech|
+ |showTheFTable| |semiResultantReduitEuclidean| |superscript|
+ |bezoutDiscriminant| |alphanumeric| |regularRepresentation| |bracket|
+ |corrPoly| |leastMonomial| |ground?| |diagonals| |iicsch|
+ |clearTheFTable| |divide| |subscript| |pair| |droot| |alphabetic|
+ |traceMatrix| |prod| |lifting| |mainMonomial| |ground| |axes|
+ |iiasinh| |fTable| |Lazard| |scripted?| |directory| |iroot| |randomLC|
+ |overlabel| |lifting1| |quasiMonic?| |leadingMonomial| |controlPanel|
+ |iiacosh| |palgint0| |Lazard2| |resetNew| |sum| |minimize| |reverse|
+ |overbar| |exprex| |monic?| |leadingCoefficient| |viewpoint| |iiatanh|
+ |palgextint0| |nextsousResultant2| |symFunc| |charClass| |module|
+ |prime| |coerceL| |deepestInitial| |primitiveMonomials| |dimensions|
+ |iiacoth| |palglimint0| |resultantnaif| |symbolTableOf|
+ |alphanumeric?| |retract| |rightRegularRepresentation| |quote|
+ |coerceS| |iteratedInitials| |resize| |reductum| |iiasech| |palgRDE0|
+ |resultantEuclideannaif| |unravel| |argumentListOf|
+ |leftRegularRepresentation| |supersub| |frobenius| |deepestTail|
+ |move| |iiacsch| |palgLODE0| |semiResultantEuclideannaif|
+ |leviCivitaSymbol| |returnTypeOf| |rank| |rightTraceMatrix| |presuper|
+ |computePowers| |head| |modifyPointData| |specialTrigs|
+ |chineseRemainder| |pdct| |printHeader| |leftTraceMatrix| |presub|
+ |pow| |mdeg| |subspace| |localReal?| |divisors| |powers| |returnType!|
+ |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 f9cd783d..99aca987 100644
--- a/src/share/algebra/interp.daase
+++ b/src/share/algebra/interp.daase
@@ -1,5420 +1,5420 @@
 
-(3242103 . 3485769925)       
-((-1375 (((-112) (-1 (-112) |#2| |#2|) $) 86) (((-112) $) NIL)) (-3330 (($ (-1 (-112) |#2| |#2|) $) 18) (($ $) NIL)) (-3140 ((|#2| $ (-576) |#2|) NIL) ((|#2| $ (-1253 (-576)) |#2|) 44)) (-2002 (($ $) 80)) (-2887 ((|#2| (-1 |#2| |#2| |#2|) $ |#2| |#2|) 52) ((|#2| (-1 |#2| |#2| |#2|) $ |#2|) 50) ((|#2| (-1 |#2| |#2| |#2|) $) 49)) (-1454 (((-576) (-1 (-112) |#2|) $) 27) (((-576) |#2| $) NIL) (((-576) |#2| $ (-576)) 96)) (-1873 (((-656 |#2|) $) 13)) (-1383 (($ (-1 (-112) |#2| |#2|) $ $) 64) (($ $ $) NIL)) (-2466 (($ (-1 |#2| |#2|) $) 37)) (-1787 (($ (-1 |#2| |#2|) $) NIL) (($ (-1 |#2| |#2| |#2|) $ $) 60)) (-1604 (($ |#2| $ (-576)) NIL) (($ $ $ (-576)) 67)) (-2922 (((-3 |#2| "failed") (-1 (-112) |#2|) $) 29)) (-1875 (((-112) (-1 (-112) |#2|) $) 23)) (-2209 ((|#2| $ (-576) |#2|) NIL) ((|#2| $ (-576)) NIL) (($ $ (-1253 (-576))) 66)) (-2860 (($ $ (-576)) 76) (($ $ (-1253 (-576))) 75)) (-3954 (((-783) (-1 (-112) |#2|) $) 34) (((-783) |#2| $) NIL)) (-2647 (($ $ $ (-576)) 69)) (-3162 (($ $) 68)) (-2968 (($ (-656 |#2|)) 73)) (-4136 (($ $ |#2|) NIL) (($ |#2| $) NIL) (($ $ $) 87) (($ (-656 $)) 85)) (-2956 (((-874) $) 92)) (-3972 (((-112) (-1 (-112) |#2|) $) 22)) (-2991 (((-112) $ $) 95)) (-3014 (((-112) $ $) 99))) 
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+(3242103 . 3485817792)       
+((-1913 (((-112) (-1 (-112) |#2| |#2|) $) 86) (((-112) $) NIL)) (-1891 (($ (-1 (-112) |#2| |#2|) $) 18) (($ $) NIL)) (-3055 ((|#2| $ (-576) |#2|) NIL) ((|#2| $ (-1253 (-576)) |#2|) 44)) (-2745 (($ $) 80)) (-2309 ((|#2| (-1 |#2| |#2| |#2|) $ |#2| |#2|) 52) ((|#2| (-1 |#2| |#2| |#2|) $ |#2|) 50) ((|#2| (-1 |#2| |#2| |#2|) $) 49)) (-2634 (((-576) (-1 (-112) |#2|) $) 27) (((-576) |#2| $) NIL) (((-576) |#2| $ (-576)) 96)) (-4001 (((-656 |#2|) $) 13)) (-4214 (($ (-1 (-112) |#2| |#2|) $ $) 64) (($ $ $) NIL)) (-2848 (($ (-1 |#2| |#2|) $) 37)) (-2551 (($ (-1 |#2| |#2|) $) NIL) (($ (-1 |#2| |#2| |#2|) $ $) 60)) (-2134 (($ |#2| $ (-576)) NIL) (($ $ $ (-576)) 67)) (-1932 (((-3 |#2| "failed") (-1 (-112) |#2|) $) 29)) (-2476 (((-112) (-1 (-112) |#2|) $) 23)) (-2071 ((|#2| $ (-576) |#2|) NIL) ((|#2| $ (-576)) NIL) (($ $ (-1253 (-576))) 66)) (-3240 (($ $ (-576)) 76) (($ $ (-1253 (-576))) 75)) (-3926 (((-783) (-1 (-112) |#2|) $) 34) (((-783) |#2| $) NIL)) (-1902 (($ $ $ (-576)) 69)) (-3079 (($ $) 68)) (-2895 (($ (-656 |#2|)) 73)) (-1514 (($ $ |#2|) NIL) (($ |#2| $) NIL) (($ $ $) 87) (($ (-656 $)) 85)) (-2884 (((-874) $) 92)) (-2492 (((-112) (-1 (-112) |#2|) $) 22)) (-3915 (((-112) $ $) 95)) (-3943 (((-112) $ $) 99))) 
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 NIL 
-(-10 -8 (-15 -2991 ((-112) |#1| |#1|)) (-15 -2956 ((-874) |#1|)) (-15 -3014 ((-112) |#1| |#1|)) (-15 -3330 (|#1| |#1|)) (-15 -3330 (|#1| (-1 (-112) |#2| |#2|) |#1|)) (-15 -2002 (|#1| |#1|)) (-15 -2647 (|#1| |#1| |#1| (-576))) (-15 -1375 ((-112) |#1|)) (-15 -1383 (|#1| |#1| |#1|)) (-15 -1454 ((-576) |#2| |#1| (-576))) (-15 -1454 ((-576) |#2| |#1|)) (-15 -1454 ((-576) (-1 (-112) |#2|) |#1|)) (-15 -1375 ((-112) (-1 (-112) |#2| |#2|) |#1|)) (-15 -1383 (|#1| (-1 (-112) |#2| |#2|) |#1| |#1|)) (-15 -3140 (|#2| |#1| (-1253 (-576)) |#2|)) (-15 -1604 (|#1| |#1| |#1| (-576))) (-15 -1604 (|#1| |#2| |#1| (-576))) (-15 -2860 (|#1| |#1| (-1253 (-576)))) (-15 -2860 (|#1| |#1| (-576))) (-15 -1787 (|#1| (-1 |#2| |#2| |#2|) |#1| |#1|)) (-15 -4136 (|#1| (-656 |#1|))) (-15 -4136 (|#1| |#1| |#1|)) (-15 -4136 (|#1| |#2| |#1|)) (-15 -4136 (|#1| |#1| |#2|)) (-15 -2209 (|#1| |#1| (-1253 (-576)))) (-15 -2968 (|#1| (-656 |#2|))) (-15 -2922 ((-3 |#2| "failed") (-1 (-112) |#2|) |#1|)) (-15 -2887 (|#2| (-1 |#2| |#2| |#2|) |#1|)) (-15 -2887 (|#2| (-1 |#2| |#2| |#2|) |#1| |#2|)) (-15 -2887 (|#2| (-1 |#2| |#2| |#2|) |#1| |#2| |#2|)) (-15 -2209 (|#2| |#1| (-576))) (-15 -2209 (|#2| |#1| (-576) |#2|)) (-15 -3140 (|#2| |#1| (-576) |#2|)) (-15 -3954 ((-783) |#2| |#1|)) (-15 -1873 ((-656 |#2|) |#1|)) (-15 -3954 ((-783) (-1 (-112) |#2|) |#1|)) (-15 -1875 ((-112) (-1 (-112) |#2|) |#1|)) (-15 -3972 ((-112) (-1 (-112) |#2|) |#1|)) (-15 -2466 (|#1| (-1 |#2| |#2|) |#1|)) (-15 -1787 (|#1| (-1 |#2| |#2|) |#1|)) (-15 -3162 (|#1| |#1|))) 
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 (((-19 |#1|) (-141) (-1236)) (T -19)) 
 NIL 
 (-13 (-384 |t#1|) (-10 -7 (-6 -4462))) 
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-((-3798 (((-3 $ "failed") $ $) 12)) (-3096 (($ $) NIL) (($ $ $) 9)) (* (($ (-937) $) NIL) (($ (-783) $) 16) (($ (-576) $) 26))) 
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+(((-34) . T) ((-102) -3766 (|has| |#1| (-1118)) (|has| |#1| (-862))) ((-625 (-874)) -3766 (|has| |#1| (-1118)) (|has| |#1| (-862)) (|has| |#1| (-625 (-874)))) ((-152 |#1|) . T) ((-626 (-548)) |has| |#1| (-626 (-548))) ((-296 #0=(-576) |#1|) . T) ((-296 (-1253 (-576)) $) . T) ((-298 #0# |#1|) . T) ((-319 |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118))) ((-384 |#1|) . T) ((-501 |#1|) . T) ((-616 #0# |#1|) . T) ((-526 |#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118))) ((-663 |#1|) . T) ((-862) |has| |#1| (-862)) ((-1118) -3766 (|has| |#1| (-1118)) (|has| |#1| (-862))) ((-1236) . T)) 
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 NIL 
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 (((-21) (-141)) (T -21)) 
-((-3096 (*1 *1 *1) (-4 *1 (-21))) (-3096 (*1 *1 *1 *1) (-4 *1 (-21)))) 
-(-13 (-132) (-658 (-576)) (-10 -8 (-15 -3096 ($ $)) (-15 -3096 ($ $ $)))) 
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+(-13 (-132) (-658 (-576)) (-10 -8 (-15 -4029 ($ $)) (-15 -4029 ($ $ $)))) 
 (((-23) . T) ((-25) . T) ((-102) . T) ((-132) . T) ((-625 (-874)) . T) ((-658 (-576)) . T) ((-1118) . T)) 
-((-3549 (((-112) $) 10)) (-4335 (($) 15)) (* (($ (-937) $) 14) (($ (-783) $) 19))) 
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 NIL 
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 (((-23) (-141)) (T -23)) 
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-(-13 (-25) (-10 -8 (-15 (-2143) ($) -1716) (-15 -4335 ($) -1716) (-15 -3549 ((-112) $)) (-15 * ($ (-783) $)))) 
+((-1996 (*1 *1) (-4 *1 (-23))) (-2473 (*1 *1) (-4 *1 (-23))) (-1389 (*1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-112)))) (* (*1 *1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-783))))) 
+(-13 (-25) (-10 -8 (-15 (-1996) ($) -3739) (-15 -2473 ($) -3739) (-15 -1389 ((-112) $)) (-15 * ($ (-783) $)))) 
 (((-25) . T) ((-102) . T) ((-625 (-874)) . T) ((-1118) . T)) 
 ((* (($ (-937) $) 10))) 
 (((-24 |#1|) (-10 -8 (-15 * (|#1| (-937) |#1|))) (-25)) (T -24)) 
 NIL 
 (-10 -8 (-15 * (|#1| (-937) |#1|))) 
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+((-2862 (((-112) $ $) 7)) (-3733 (((-1177) $) 10)) (-3914 (((-1138) $) 11)) (-2884 (((-874) $) 12)) (-3722 (((-112) $ $) 9)) (-3915 (((-112) $ $) 6)) (-4017 (($ $ $) 15)) (* (($ (-937) $) 14))) 
 (((-25) (-141)) (T -25)) 
-((-3081 (*1 *1 *1 *1) (-4 *1 (-25))) (* (*1 *1 *2 *1) (-12 (-4 *1 (-25)) (-5 *2 (-937))))) 
-(-13 (-1118) (-10 -8 (-15 -3081 ($ $ $)) (-15 * ($ (-937) $)))) 
+((-4017 (*1 *1 *1 *1) (-4 *1 (-25))) (* (*1 *1 *2 *1) (-12 (-4 *1 (-25)) (-5 *2 (-937))))) 
+(-13 (-1118) (-10 -8 (-15 -4017 ($ $ $)) (-15 * ($ (-937) $)))) 
 (((-102) . T) ((-625 (-874)) . T) ((-1118) . T)) 
-((-3246 (((-656 $) (-968 $)) 32) (((-656 $) (-1191 $)) 16) (((-656 $) (-1191 $) (-1195)) 20)) (-2272 (($ (-968 $)) 30) (($ (-1191 $)) 11) (($ (-1191 $) (-1195)) 60)) (-3190 (((-656 $) (-968 $)) 33) (((-656 $) (-1191 $)) 18) (((-656 $) (-1191 $) (-1195)) 19)) (-3028 (($ (-968 $)) 31) (($ (-1191 $)) 13) (($ (-1191 $) (-1195)) NIL))) 
-(((-26 |#1|) (-10 -8 (-15 -3246 ((-656 |#1|) (-1191 |#1|) (-1195))) (-15 -3246 ((-656 |#1|) (-1191 |#1|))) (-15 -3246 ((-656 |#1|) (-968 |#1|))) (-15 -2272 (|#1| (-1191 |#1|) (-1195))) (-15 -2272 (|#1| (-1191 |#1|))) (-15 -2272 (|#1| (-968 |#1|))) (-15 -3190 ((-656 |#1|) (-1191 |#1|) (-1195))) (-15 -3190 ((-656 |#1|) (-1191 |#1|))) (-15 -3190 ((-656 |#1|) (-968 |#1|))) (-15 -3028 (|#1| (-1191 |#1|) (-1195))) (-15 -3028 (|#1| (-1191 |#1|))) (-15 -3028 (|#1| (-968 |#1|)))) (-27)) (T -26)) 
+((-3696 (((-656 $) (-968 $)) 32) (((-656 $) (-1191 $)) 16) (((-656 $) (-1191 $) (-1195)) 20)) (-4023 (($ (-968 $)) 30) (($ (-1191 $)) 11) (($ (-1191 $) (-1195)) 60)) (-4034 (((-656 $) (-968 $)) 33) (((-656 $) (-1191 $)) 18) (((-656 $) (-1191 $) (-1195)) 19)) (-1342 (($ (-968 $)) 31) (($ (-1191 $)) 13) (($ (-1191 $) (-1195)) NIL))) 
+(((-26 |#1|) (-10 -8 (-15 -3696 ((-656 |#1|) (-1191 |#1|) (-1195))) (-15 -3696 ((-656 |#1|) (-1191 |#1|))) (-15 -3696 ((-656 |#1|) (-968 |#1|))) (-15 -4023 (|#1| (-1191 |#1|) (-1195))) (-15 -4023 (|#1| (-1191 |#1|))) (-15 -4023 (|#1| (-968 |#1|))) (-15 -4034 ((-656 |#1|) (-1191 |#1|) (-1195))) (-15 -4034 ((-656 |#1|) (-1191 |#1|))) (-15 -4034 ((-656 |#1|) (-968 |#1|))) (-15 -1342 (|#1| (-1191 |#1|) (-1195))) (-15 -1342 (|#1| (-1191 |#1|))) (-15 -1342 (|#1| (-968 |#1|)))) (-27)) (T -26)) 
 NIL 
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+((-2862 (((-112) $ $) 7)) (-3696 (((-656 $) (-968 $)) 88) (((-656 $) (-1191 $)) 87) (((-656 $) (-1191 $) (-1195)) 86)) (-4023 (($ (-968 $)) 91) (($ (-1191 $)) 90) (($ (-1191 $) (-1195)) 89)) (-1389 (((-112) $) 17)) (-4253 (((-2 (|:| -4246 $) (|:| -4448 $) (|:| |associate| $)) $) 47)) (-4241 (($ $) 46)) (-4221 (((-112) $) 44)) (-1459 (((-3 $ "failed") $ $) 20)) (-2944 (($ $) 81)) (-3986 (((-430 $) $) 80)) (-2474 (($ $) 100)) (-2922 (((-112) $ $) 65)) (-2473 (($) 18 T CONST)) (-4034 (((-656 $) (-968 $)) 94) (((-656 $) (-1191 $)) 93) (((-656 $) (-1191 $) (-1195)) 92)) (-1342 (($ (-968 $)) 97) (($ (-1191 $)) 96) (($ (-1191 $) (-1195)) 95)) (-2803 (($ $ $) 61)) (-1999 (((-3 $ "failed") $) 37)) (-2814 (($ $ $) 62)) (-2304 (((-2 (|:| -1755 (-656 $)) (|:| -3660 $)) (-656 $)) 57)) (-2463 (((-112) $) 79)) (-1439 (((-112) $) 35)) (-3298 (($ $ (-576)) 99)) (-2892 (((-3 (-656 $) "failed") (-656 $) $) 58)) (-3888 (($ $ $) 52) (($ (-656 $)) 51)) (-3733 (((-1177) $) 10)) (-4333 (($ $) 78)) (-3914 (((-1138) $) 11)) (-3214 (((-1191 $) (-1191 $) (-1191 $)) 50)) (-3928 (($ $ $) 54) (($ (-656 $)) 53)) (-2354 (((-430 $) $) 82)) (-2900 (((-2 (|:| |coef1| $) (|:| |coef2| $) (|:| -3660 $)) $ $) 60) (((-3 (-2 (|:| |coef1| $) (|:| |coef2| $)) "failed") $ $ $) 59)) (-2852 (((-3 $ "failed") $ $) 48)) (-2291 (((-3 (-656 $) "failed") (-656 $) $) 56)) (-2910 (((-783) $) 64)) (-4350 (((-2 (|:| -2770 $) (|:| -1406 $)) $ $) 63)) (-2884 (((-874) $) 12) (($ (-576)) 33) (($ $) 49) (($ (-419 (-576))) 74)) (-1871 (((-783)) 32 T CONST)) (-3722 (((-112) $ $) 9)) (-4232 (((-112) $ $) 45)) (-1996 (($) 19 T CONST)) (-2011 (($) 34 T CONST)) (-3915 (((-112) $ $) 6)) (-4039 (($ $ $) 73)) (-4029 (($ $) 23) (($ $ $) 22)) (-4017 (($ $ $) 15)) (** (($ $ (-937)) 28) (($ $ (-783)) 36) (($ $ (-576)) 77) (($ $ (-419 (-576))) 98)) (* (($ (-937) $) 14) (($ (-783) $) 16) (($ (-576) $) 24) (($ $ $) 27) (($ $ (-419 (-576))) 76) (($ (-419 (-576)) $) 75))) 
 (((-27) (-141)) (T -27)) 
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+((-1342 (*1 *1 *2) (-12 (-5 *2 (-968 *1)) (-4 *1 (-27)))) (-1342 (*1 *1 *2) (-12 (-5 *2 (-1191 *1)) (-4 *1 (-27)))) (-1342 (*1 *1 *2 *3) (-12 (-5 *2 (-1191 *1)) (-5 *3 (-1195)) (-4 *1 (-27)))) (-4034 (*1 *2 *3) (-12 (-5 *3 (-968 *1)) (-4 *1 (-27)) (-5 *2 (-656 *1)))) (-4034 (*1 *2 *3) (-12 (-5 *3 (-1191 *1)) (-4 *1 (-27)) (-5 *2 (-656 *1)))) (-4034 (*1 *2 *3 *4) (-12 (-5 *3 (-1191 *1)) (-5 *4 (-1195)) (-4 *1 (-27)) (-5 *2 (-656 *1)))) (-4023 (*1 *1 *2) (-12 (-5 *2 (-968 *1)) (-4 *1 (-27)))) (-4023 (*1 *1 *2) (-12 (-5 *2 (-1191 *1)) (-4 *1 (-27)))) (-4023 (*1 *1 *2 *3) (-12 (-5 *2 (-1191 *1)) (-5 *3 (-1195)) (-4 *1 (-27)))) (-3696 (*1 *2 *3) (-12 (-5 *3 (-968 *1)) (-4 *1 (-27)) (-5 *2 (-656 *1)))) (-3696 (*1 *2 *3) (-12 (-5 *3 (-1191 *1)) (-4 *1 (-27)) (-5 *2 (-656 *1)))) (-3696 (*1 *2 *3 *4) (-12 (-5 *3 (-1191 *1)) (-5 *4 (-1195)) (-4 *1 (-27)) (-5 *2 (-656 *1))))) 
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 (((-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 (-874)) . T) ((-174) . T) ((-249) . 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) ((-936) . T) ((-1020) . T) ((-1069 #0#) . T) ((-1069 $) . T) ((-1074 #0#) . T) ((-1074 $) . T) ((-1067) . T) ((-1076) . T) ((-1130) . T) ((-1118) . T) ((-1240) . T)) 
-((-3246 (((-656 $) (-968 $)) NIL) (((-656 $) (-1191 $)) NIL) (((-656 $) (-1191 $) (-1195)) 55) (((-656 $) $) 22) (((-656 $) $ (-1195)) 46)) (-2272 (($ (-968 $)) NIL) (($ (-1191 $)) NIL) (($ (-1191 $) (-1195)) 57) (($ $) 20) (($ $ (-1195)) 40)) (-3190 (((-656 $) (-968 $)) NIL) (((-656 $) (-1191 $)) NIL) (((-656 $) (-1191 $) (-1195)) 53) (((-656 $) $) 18) (((-656 $) $ (-1195)) 48)) (-3028 (($ (-968 $)) NIL) (($ (-1191 $)) NIL) (($ (-1191 $) (-1195)) NIL) (($ $) 15) (($ $ (-1195)) 42))) 
-(((-28 |#1| |#2|) (-10 -8 (-15 -3246 ((-656 |#1|) |#1| (-1195))) (-15 -2272 (|#1| |#1| (-1195))) (-15 -3246 ((-656 |#1|) |#1|)) (-15 -2272 (|#1| |#1|)) (-15 -3190 ((-656 |#1|) |#1| (-1195))) (-15 -3028 (|#1| |#1| (-1195))) (-15 -3190 ((-656 |#1|) |#1|)) (-15 -3028 (|#1| |#1|)) (-15 -3246 ((-656 |#1|) (-1191 |#1|) (-1195))) (-15 -3246 ((-656 |#1|) (-1191 |#1|))) (-15 -3246 ((-656 |#1|) (-968 |#1|))) (-15 -2272 (|#1| (-1191 |#1|) (-1195))) (-15 -2272 (|#1| (-1191 |#1|))) (-15 -2272 (|#1| (-968 |#1|))) (-15 -3190 ((-656 |#1|) (-1191 |#1|) (-1195))) (-15 -3190 ((-656 |#1|) (-1191 |#1|))) (-15 -3190 ((-656 |#1|) (-968 |#1|))) (-15 -3028 (|#1| (-1191 |#1|) (-1195))) (-15 -3028 (|#1| (-1191 |#1|))) (-15 -3028 (|#1| (-968 |#1|)))) (-29 |#2|) (-568)) (T -28)) 
+((-3696 (((-656 $) (-968 $)) NIL) (((-656 $) (-1191 $)) NIL) (((-656 $) (-1191 $) (-1195)) 55) (((-656 $) $) 22) (((-656 $) $ (-1195)) 46)) (-4023 (($ (-968 $)) NIL) (($ (-1191 $)) NIL) (($ (-1191 $) (-1195)) 57) (($ $) 20) (($ $ (-1195)) 40)) (-4034 (((-656 $) (-968 $)) NIL) (((-656 $) (-1191 $)) NIL) (((-656 $) (-1191 $) (-1195)) 53) (((-656 $) $) 18) (((-656 $) $ (-1195)) 48)) (-1342 (($ (-968 $)) NIL) (($ (-1191 $)) NIL) (($ (-1191 $) (-1195)) NIL) (($ $) 15) (($ $ (-1195)) 42))) 
+(((-28 |#1| |#2|) (-10 -8 (-15 -3696 ((-656 |#1|) |#1| (-1195))) (-15 -4023 (|#1| |#1| (-1195))) (-15 -3696 ((-656 |#1|) |#1|)) (-15 -4023 (|#1| |#1|)) (-15 -4034 ((-656 |#1|) |#1| (-1195))) (-15 -1342 (|#1| |#1| (-1195))) (-15 -4034 ((-656 |#1|) |#1|)) (-15 -1342 (|#1| |#1|)) (-15 -3696 ((-656 |#1|) (-1191 |#1|) (-1195))) (-15 -3696 ((-656 |#1|) (-1191 |#1|))) (-15 -3696 ((-656 |#1|) (-968 |#1|))) (-15 -4023 (|#1| (-1191 |#1|) (-1195))) (-15 -4023 (|#1| (-1191 |#1|))) (-15 -4023 (|#1| (-968 |#1|))) (-15 -4034 ((-656 |#1|) (-1191 |#1|) (-1195))) (-15 -4034 ((-656 |#1|) (-1191 |#1|))) (-15 -4034 ((-656 |#1|) (-968 |#1|))) (-15 -1342 (|#1| (-1191 |#1|) (-1195))) (-15 -1342 (|#1| (-1191 |#1|))) (-15 -1342 (|#1| (-968 |#1|)))) (-29 |#2|) (-568)) (T -28)) 
 NIL 
-(-10 -8 (-15 -3246 ((-656 |#1|) |#1| (-1195))) (-15 -2272 (|#1| |#1| (-1195))) (-15 -3246 ((-656 |#1|) |#1|)) (-15 -2272 (|#1| |#1|)) (-15 -3190 ((-656 |#1|) |#1| (-1195))) (-15 -3028 (|#1| |#1| (-1195))) (-15 -3190 ((-656 |#1|) |#1|)) (-15 -3028 (|#1| |#1|)) (-15 -3246 ((-656 |#1|) (-1191 |#1|) (-1195))) (-15 -3246 ((-656 |#1|) (-1191 |#1|))) (-15 -3246 ((-656 |#1|) (-968 |#1|))) (-15 -2272 (|#1| (-1191 |#1|) (-1195))) (-15 -2272 (|#1| (-1191 |#1|))) (-15 -2272 (|#1| (-968 |#1|))) (-15 -3190 ((-656 |#1|) (-1191 |#1|) (-1195))) (-15 -3190 ((-656 |#1|) (-1191 |#1|))) (-15 -3190 ((-656 |#1|) (-968 |#1|))) (-15 -3028 (|#1| (-1191 |#1|) (-1195))) (-15 -3028 (|#1| (-1191 |#1|))) (-15 -3028 (|#1| (-968 |#1|)))) 
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-(((-21) . T) ((-23) . T) ((-25) . T) ((-38 #0=(-419 (-576))) . T) ((-38 |#1|) |has| |#1| (-174)) ((-38 $) . T) ((-27) . T) ((-102) . T) ((-111 #0# #0#) . T) ((-111 |#1| |#1|) |has| |#1| (-174)) ((-111 $ $) . T) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 #0#) . T) ((-628 #1=(-419 (-968 |#1|))) |has| |#1| (-568)) ((-628 (-576)) . T) ((-628 #2=(-624 $)) . T) ((-628 #3=(-968 |#1|)) |has| |#1| (-1067)) ((-628 #4=(-1195)) . T) ((-628 |#1|) . T) ((-628 $) . T) ((-625 (-874)) . T) ((-174) . T) ((-626 (-548)) |has| |#1| (-626 (-548))) ((-626 (-905 (-390))) |has| |#1| (-626 (-905 (-390)))) ((-626 (-905 (-576))) |has| |#1| (-626 (-905 (-576)))) ((-249) . T) ((-300) . T) ((-317) . T) ((-319 $) . T) ((-312) . T) ((-374) . T) ((-388 |#1|) |has| |#1| (-1067)) ((-412 |#1|) . T) ((-423 |#1|) . T) ((-442 |#1|) . T) ((-464) . T) ((-485) |has| |#1| (-485)) ((-526 (-624 $) $) . T) ((-526 $ $) . T) ((-568) . T) ((-658 #0#) . T) ((-658 (-576)) . T) ((-658 |#1|) -2838 (|has| |#1| (-1067)) (|has| |#1| (-174))) ((-658 $) . T) ((-660 #0#) . T) ((-660 #5=(-576)) -12 (|has| |#1| (-651 (-576))) (|has| |#1| (-1067))) ((-660 |#1|) -2838 (|has| |#1| (-1067)) (|has| |#1| (-174))) ((-660 $) . T) ((-652 #0#) . T) ((-652 |#1|) |has| |#1| (-174)) ((-652 $) . T) ((-651 #5#) -12 (|has| |#1| (-651 (-576))) (|has| |#1| (-1067))) ((-651 |#1|) |has| |#1| (-1067)) ((-729 #0#) . T) ((-729 |#1|) |has| |#1| (-174)) ((-729 $) . T) ((-738) . T) ((-909 $ #6=(-1195)) |has| |#1| (-1067)) ((-914 #6#) |has| |#1| (-1067)) ((-916 #6#) |has| |#1| (-1067)) ((-899 (-390)) |has| |#1| (-899 (-390))) ((-899 (-576)) |has| |#1| (-899 (-576))) ((-897 |#1|) . T) ((-936) . T) ((-1020) . T) ((-1056 (-419 (-576))) -2838 (|has| |#1| (-1056 (-419 (-576)))) (-12 (|has| |#1| (-568)) (|has| |#1| (-1056 (-576))))) ((-1056 #1#) |has| |#1| (-568)) ((-1056 (-576)) |has| |#1| (-1056 (-576))) ((-1056 #2#) . T) ((-1056 #3#) |has| |#1| (-1067)) ((-1056 #4#) . T) ((-1056 |#1|) . T) ((-1069 #0#) . T) ((-1069 |#1|) |has| |#1| (-174)) ((-1069 $) . T) ((-1074 #0#) . T) ((-1074 |#1|) |has| |#1| (-174)) ((-1074 $) . T) ((-1067) . T) ((-1076) . T) ((-1130) . T) ((-1118) . T) ((-1236) . T) ((-1240) . T)) 
-((-2444 (((-1112 (-227)) $) NIL)) (-2431 (((-1112 (-227)) $) NIL)) (-4358 (($ $ (-227)) 164)) (-2099 (($ (-968 (-576)) (-1195) (-1195) (-1112 (-419 (-576))) (-1112 (-419 (-576)))) 104)) (-3388 (((-656 (-656 (-959 (-227)))) $) 180)) (-2956 (((-874) $) 194))) 
-(((-30) (-13 (-971) (-10 -8 (-15 -2099 ($ (-968 (-576)) (-1195) (-1195) (-1112 (-419 (-576))) (-1112 (-419 (-576))))) (-15 -4358 ($ $ (-227)))))) (T -30)) 
-((-2099 (*1 *1 *2 *3 *3 *4 *4) (-12 (-5 *2 (-968 (-576))) (-5 *3 (-1195)) (-5 *4 (-1112 (-419 (-576)))) (-5 *1 (-30)))) (-4358 (*1 *1 *1 *2) (-12 (-5 *2 (-227)) (-5 *1 (-30))))) 
-(-13 (-971) (-10 -8 (-15 -2099 ($ (-968 (-576)) (-1195) (-1195) (-1112 (-419 (-576))) (-1112 (-419 (-576))))) (-15 -4358 ($ $ (-227))))) 
-((-2869 (((-112) $ $) NIL)) (-2148 (((-1177) $) NIL)) (-3945 (((-1138) $) NIL)) (-2956 (((-874) $) 17) (($ (-1200)) NIL) (((-1200) $) NIL)) (-2053 (((-1153) $) 11)) (-2617 (((-112) $ $) NIL)) (-2650 (((-1153) $) 9)) (-2991 (((-112) $ $) NIL))) 
-(((-31) (-13 (-1101) (-10 -8 (-15 -2650 ((-1153) $)) (-15 -2053 ((-1153) $))))) (T -31)) 
-((-2650 (*1 *2 *1) (-12 (-5 *2 (-1153)) (-5 *1 (-31)))) (-2053 (*1 *2 *1) (-12 (-5 *2 (-1153)) (-5 *1 (-31))))) 
-(-13 (-1101) (-10 -8 (-15 -2650 ((-1153) $)) (-15 -2053 ((-1153) $)))) 
-((-3028 ((|#2| (-1191 |#2|) (-1195)) 41)) (-4153 (((-115) (-115)) 55)) (-3982 (((-1191 |#2|) (-624 |#2|)) 149 (|has| |#1| (-1056 (-576))))) (-1503 ((|#2| |#1| (-576)) 137 (|has| |#1| (-1056 (-576))))) (-2077 ((|#2| (-1191 |#2|) |#2|) 29)) (-2080 (((-874) (-656 |#2|)) 86)) (-2477 ((|#2| |#2|) 144 (|has| |#1| (-1056 (-576))))) (-1483 (((-112) (-115)) 17)) (** ((|#2| |#2| (-419 (-576))) 103 (|has| |#1| (-1056 (-576)))))) 
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-((-1503 (*1 *2 *3 *4) (-12 (-5 *4 (-576)) (-4 *2 (-442 *3)) (-5 *1 (-32 *3 *2)) (-4 *3 (-1056 *4)) (-4 *3 (-568)))) (-2477 (*1 *2 *2) (-12 (-4 *3 (-1056 (-576))) (-4 *3 (-568)) (-5 *1 (-32 *3 *2)) (-4 *2 (-442 *3)))) (-3982 (*1 *2 *3) (-12 (-5 *3 (-624 *5)) (-4 *5 (-442 *4)) (-4 *4 (-1056 (-576))) (-4 *4 (-568)) (-5 *2 (-1191 *5)) (-5 *1 (-32 *4 *5)))) (** (*1 *2 *2 *3) (-12 (-5 *3 (-419 (-576))) (-4 *4 (-1056 (-576))) (-4 *4 (-568)) (-5 *1 (-32 *4 *2)) (-4 *2 (-442 *4)))) (-2080 (*1 *2 *3) (-12 (-5 *3 (-656 *5)) (-4 *5 (-442 *4)) (-4 *4 (-568)) (-5 *2 (-874)) (-5 *1 (-32 *4 *5)))) (-2077 (*1 *2 *3 *2) (-12 (-5 *3 (-1191 *2)) (-4 *2 (-442 *4)) (-4 *4 (-568)) (-5 *1 (-32 *4 *2)))) (-1483 (*1 *2 *3) (-12 (-5 *3 (-115)) (-4 *4 (-568)) (-5 *2 (-112)) (-5 *1 (-32 *4 *5)) (-4 *5 (-442 *4)))) (-4153 (*1 *2 *2) (-12 (-5 *2 (-115)) (-4 *3 (-568)) (-5 *1 (-32 *3 *4)) (-4 *4 (-442 *3)))) (-3028 (*1 *2 *3 *4) (-12 (-5 *3 (-1191 *2)) (-5 *4 (-1195)) (-4 *2 (-442 *5)) (-5 *1 (-32 *5 *2)) (-4 *5 (-568))))) 
-(-10 -7 (-15 -3028 (|#2| (-1191 |#2|) (-1195))) (-15 -4153 ((-115) (-115))) (-15 -1483 ((-112) (-115))) (-15 -2077 (|#2| (-1191 |#2|) |#2|)) (-15 -2080 ((-874) (-656 |#2|))) (IF (|has| |#1| (-1056 (-576))) (PROGN (-15 ** (|#2| |#2| (-419 (-576)))) (-15 -3982 ((-1191 |#2|) (-624 |#2|))) (-15 -2477 (|#2| |#2|)) (-15 -1503 (|#2| |#1| (-576)))) |%noBranch|)) 
-((-3762 (((-112) $ (-783)) 20)) (-4335 (($) 10)) (-2266 (((-112) $ (-783)) 19)) (-2356 (((-112) $ (-783)) 17)) (-2001 (((-112) $ $) 8)) (-3321 (((-112) $) 15))) 
-(((-33 |#1|) (-10 -8 (-15 -4335 (|#1|)) (-15 -3762 ((-112) |#1| (-783))) (-15 -2266 ((-112) |#1| (-783))) (-15 -2356 ((-112) |#1| (-783))) (-15 -3321 ((-112) |#1|)) (-15 -2001 ((-112) |#1| |#1|))) (-34)) (T -33)) 
-NIL 
-(-10 -8 (-15 -4335 (|#1|)) (-15 -3762 ((-112) |#1| (-783))) (-15 -2266 ((-112) |#1| (-783))) (-15 -2356 ((-112) |#1| (-783))) (-15 -3321 ((-112) |#1|)) (-15 -2001 ((-112) |#1| |#1|))) 
-((-3762 (((-112) $ (-783)) 8)) (-4335 (($) 7 T CONST)) (-2266 (((-112) $ (-783)) 9)) (-2356 (((-112) $ (-783)) 10)) (-2001 (((-112) $ $) 14)) (-3321 (((-112) $) 11)) (-2953 (($) 12)) (-3162 (($ $) 13)) (-2882 (((-783) $) 6 (|has| $ (-6 -4461))))) 
+((-1342 (*1 *1 *1) (-12 (-4 *1 (-29 *2)) (-4 *2 (-568)))) (-4034 (*1 *2 *1) (-12 (-4 *3 (-568)) (-5 *2 (-656 *1)) (-4 *1 (-29 *3)))) (-1342 (*1 *1 *1 *2) (-12 (-5 *2 (-1195)) (-4 *1 (-29 *3)) (-4 *3 (-568)))) (-4034 (*1 *2 *1 *3) (-12 (-5 *3 (-1195)) (-4 *4 (-568)) (-5 *2 (-656 *1)) (-4 *1 (-29 *4)))) (-4023 (*1 *1 *1) (-12 (-4 *1 (-29 *2)) (-4 *2 (-568)))) (-3696 (*1 *2 *1) (-12 (-4 *3 (-568)) (-5 *2 (-656 *1)) (-4 *1 (-29 *3)))) (-4023 (*1 *1 *1 *2) (-12 (-5 *2 (-1195)) (-4 *1 (-29 *3)) (-4 *3 (-568)))) (-3696 (*1 *2 *1 *3) (-12 (-5 *3 (-1195)) (-4 *4 (-568)) (-5 *2 (-656 *1)) (-4 *1 (-29 *4))))) 
+(-13 (-27) (-442 |t#1|) (-10 -8 (-15 -1342 ($ $)) (-15 -4034 ((-656 $) $)) (-15 -1342 ($ $ (-1195))) (-15 -4034 ((-656 $) $ (-1195))) (-15 -4023 ($ $)) (-15 -3696 ((-656 $) $)) (-15 -4023 ($ $ (-1195))) (-15 -3696 ((-656 $) $ (-1195))))) 
+(((-21) . T) ((-23) . T) ((-25) . T) ((-38 #0=(-419 (-576))) . T) ((-38 |#1|) |has| |#1| (-174)) ((-38 $) . T) ((-27) . T) ((-102) . T) ((-111 #0# #0#) . T) ((-111 |#1| |#1|) |has| |#1| (-174)) ((-111 $ $) . T) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 #0#) . T) ((-628 #1=(-419 (-968 |#1|))) |has| |#1| (-568)) ((-628 (-576)) . T) ((-628 #2=(-624 $)) . T) ((-628 #3=(-968 |#1|)) |has| |#1| (-1067)) ((-628 #4=(-1195)) . T) ((-628 |#1|) . T) ((-628 $) . T) ((-625 (-874)) . T) ((-174) . T) ((-626 (-548)) |has| |#1| (-626 (-548))) ((-626 (-905 (-390))) |has| |#1| (-626 (-905 (-390)))) ((-626 (-905 (-576))) |has| |#1| (-626 (-905 (-576)))) ((-249) . T) ((-300) . T) ((-317) . T) ((-319 $) . T) ((-312) . T) ((-374) . T) ((-388 |#1|) |has| |#1| (-1067)) ((-412 |#1|) . T) ((-423 |#1|) . T) ((-442 |#1|) . T) ((-464) . T) ((-485) |has| |#1| (-485)) ((-526 (-624 $) $) . T) ((-526 $ $) . T) ((-568) . T) ((-658 #0#) . T) ((-658 (-576)) . T) ((-658 |#1|) -3766 (|has| |#1| (-1067)) (|has| |#1| (-174))) ((-658 $) . T) ((-660 #0#) . T) ((-660 #5=(-576)) -12 (|has| |#1| (-651 (-576))) (|has| |#1| (-1067))) ((-660 |#1|) -3766 (|has| |#1| (-1067)) (|has| |#1| (-174))) ((-660 $) . T) ((-652 #0#) . T) ((-652 |#1|) |has| |#1| (-174)) ((-652 $) . T) ((-651 #5#) -12 (|has| |#1| (-651 (-576))) (|has| |#1| (-1067))) ((-651 |#1|) |has| |#1| (-1067)) ((-729 #0#) . T) ((-729 |#1|) |has| |#1| (-174)) ((-729 $) . T) ((-738) . T) ((-909 $ #6=(-1195)) |has| |#1| (-1067)) ((-914 #6#) |has| |#1| (-1067)) ((-916 #6#) |has| |#1| (-1067)) ((-899 (-390)) |has| |#1| (-899 (-390))) ((-899 (-576)) |has| |#1| (-899 (-576))) ((-897 |#1|) . T) ((-936) . T) ((-1020) . T) ((-1056 (-419 (-576))) -3766 (|has| |#1| (-1056 (-419 (-576)))) (-12 (|has| |#1| (-568)) (|has| |#1| (-1056 (-576))))) ((-1056 #1#) |has| |#1| (-568)) ((-1056 (-576)) |has| |#1| (-1056 (-576))) ((-1056 #2#) . T) ((-1056 #3#) |has| |#1| (-1067)) ((-1056 #4#) . T) ((-1056 |#1|) . T) ((-1069 #0#) . T) ((-1069 |#1|) |has| |#1| (-174)) ((-1069 $) . T) ((-1074 #0#) . T) ((-1074 |#1|) |has| |#1| (-174)) ((-1074 $) . T) ((-1067) . T) ((-1076) . T) ((-1130) . T) ((-1118) . T) ((-1236) . T) ((-1240) . T)) 
+((-2827 (((-1112 (-227)) $) NIL)) (-2815 (((-1112 (-227)) $) NIL)) (-1966 (($ $ (-227)) 164)) (-4106 (($ (-968 (-576)) (-1195) (-1195) (-1112 (-419 (-576))) (-1112 (-419 (-576)))) 104)) (-1364 (((-656 (-656 (-959 (-227)))) $) 180)) (-2884 (((-874) $) 194))) 
+(((-30) (-13 (-971) (-10 -8 (-15 -4106 ($ (-968 (-576)) (-1195) (-1195) (-1112 (-419 (-576))) (-1112 (-419 (-576))))) (-15 -1966 ($ $ (-227)))))) (T -30)) 
+((-4106 (*1 *1 *2 *3 *3 *4 *4) (-12 (-5 *2 (-968 (-576))) (-5 *3 (-1195)) (-5 *4 (-1112 (-419 (-576)))) (-5 *1 (-30)))) (-1966 (*1 *1 *1 *2) (-12 (-5 *2 (-227)) (-5 *1 (-30))))) 
+(-13 (-971) (-10 -8 (-15 -4106 ($ (-968 (-576)) (-1195) (-1195) (-1112 (-419 (-576))) (-1112 (-419 (-576))))) (-15 -1966 ($ $ (-227))))) 
+((-2862 (((-112) $ $) NIL)) (-3733 (((-1177) $) NIL)) (-3914 (((-1138) $) NIL)) (-2884 (((-874) $) 17) (($ (-1200)) NIL) (((-1200) $) NIL)) (-1789 (((-1153) $) 11)) (-3722 (((-112) $ $) NIL)) (-1549 (((-1153) $) 9)) (-3915 (((-112) $ $) NIL))) 
+(((-31) (-13 (-1101) (-10 -8 (-15 -1549 ((-1153) $)) (-15 -1789 ((-1153) $))))) (T -31)) 
+((-1549 (*1 *2 *1) (-12 (-5 *2 (-1153)) (-5 *1 (-31)))) (-1789 (*1 *2 *1) (-12 (-5 *2 (-1153)) (-5 *1 (-31))))) 
+(-13 (-1101) (-10 -8 (-15 -1549 ((-1153) $)) (-15 -1789 ((-1153) $)))) 
+((-1342 ((|#2| (-1191 |#2|) (-1195)) 41)) (-2573 (((-115) (-115)) 55)) (-3621 (((-1191 |#2|) (-624 |#2|)) 149 (|has| |#1| (-1056 (-576))))) (-4366 ((|#2| |#1| (-576)) 137 (|has| |#1| (-1056 (-576))))) (-4116 ((|#2| (-1191 |#2|) |#2|) 29)) (-4353 (((-874) (-656 |#2|)) 86)) (-1360 ((|#2| |#2|) 144 (|has| |#1| (-1056 (-576))))) (-2362 (((-112) (-115)) 17)) (** ((|#2| |#2| (-419 (-576))) 103 (|has| |#1| (-1056 (-576)))))) 
+(((-32 |#1| |#2|) (-10 -7 (-15 -1342 (|#2| (-1191 |#2|) (-1195))) (-15 -2573 ((-115) (-115))) (-15 -2362 ((-112) (-115))) (-15 -4116 (|#2| (-1191 |#2|) |#2|)) (-15 -4353 ((-874) (-656 |#2|))) (IF (|has| |#1| (-1056 (-576))) (PROGN (-15 ** (|#2| |#2| (-419 (-576)))) (-15 -3621 ((-1191 |#2|) (-624 |#2|))) (-15 -1360 (|#2| |#2|)) (-15 -4366 (|#2| |#1| (-576)))) |%noBranch|)) (-568) (-442 |#1|)) (T -32)) 
+((-4366 (*1 *2 *3 *4) (-12 (-5 *4 (-576)) (-4 *2 (-442 *3)) (-5 *1 (-32 *3 *2)) (-4 *3 (-1056 *4)) (-4 *3 (-568)))) (-1360 (*1 *2 *2) (-12 (-4 *3 (-1056 (-576))) (-4 *3 (-568)) (-5 *1 (-32 *3 *2)) (-4 *2 (-442 *3)))) (-3621 (*1 *2 *3) (-12 (-5 *3 (-624 *5)) (-4 *5 (-442 *4)) (-4 *4 (-1056 (-576))) (-4 *4 (-568)) (-5 *2 (-1191 *5)) (-5 *1 (-32 *4 *5)))) (** (*1 *2 *2 *3) (-12 (-5 *3 (-419 (-576))) (-4 *4 (-1056 (-576))) (-4 *4 (-568)) (-5 *1 (-32 *4 *2)) (-4 *2 (-442 *4)))) (-4353 (*1 *2 *3) (-12 (-5 *3 (-656 *5)) (-4 *5 (-442 *4)) (-4 *4 (-568)) (-5 *2 (-874)) (-5 *1 (-32 *4 *5)))) (-4116 (*1 *2 *3 *2) (-12 (-5 *3 (-1191 *2)) (-4 *2 (-442 *4)) (-4 *4 (-568)) (-5 *1 (-32 *4 *2)))) (-2362 (*1 *2 *3) (-12 (-5 *3 (-115)) (-4 *4 (-568)) (-5 *2 (-112)) (-5 *1 (-32 *4 *5)) (-4 *5 (-442 *4)))) (-2573 (*1 *2 *2) (-12 (-5 *2 (-115)) (-4 *3 (-568)) (-5 *1 (-32 *3 *4)) (-4 *4 (-442 *3)))) (-1342 (*1 *2 *3 *4) (-12 (-5 *3 (-1191 *2)) (-5 *4 (-1195)) (-4 *2 (-442 *5)) (-5 *1 (-32 *5 *2)) (-4 *5 (-568))))) 
+(-10 -7 (-15 -1342 (|#2| (-1191 |#2|) (-1195))) (-15 -2573 ((-115) (-115))) (-15 -2362 ((-112) (-115))) (-15 -4116 (|#2| (-1191 |#2|) |#2|)) (-15 -4353 ((-874) (-656 |#2|))) (IF (|has| |#1| (-1056 (-576))) (PROGN (-15 ** (|#2| |#2| (-419 (-576)))) (-15 -3621 ((-1191 |#2|) (-624 |#2|))) (-15 -1360 (|#2| |#2|)) (-15 -4366 (|#2| |#1| (-576)))) |%noBranch|)) 
+((-2970 (((-112) $ (-783)) 20)) (-2473 (($) 10)) (-2408 (((-112) $ (-783)) 19)) (-2374 (((-112) $ (-783)) 17)) (-2983 (((-112) $ $) 8)) (-2809 (((-112) $) 15))) 
+(((-33 |#1|) (-10 -8 (-15 -2473 (|#1|)) (-15 -2970 ((-112) |#1| (-783))) (-15 -2408 ((-112) |#1| (-783))) (-15 -2374 ((-112) |#1| (-783))) (-15 -2809 ((-112) |#1|)) (-15 -2983 ((-112) |#1| |#1|))) (-34)) (T -33)) 
+NIL 
+(-10 -8 (-15 -2473 (|#1|)) (-15 -2970 ((-112) |#1| (-783))) (-15 -2408 ((-112) |#1| (-783))) (-15 -2374 ((-112) |#1| (-783))) (-15 -2809 ((-112) |#1|)) (-15 -2983 ((-112) |#1| |#1|))) 
+((-2970 (((-112) $ (-783)) 8)) (-2473 (($) 7 T CONST)) (-2408 (((-112) $ (-783)) 9)) (-2374 (((-112) $ (-783)) 10)) (-2983 (((-112) $ $) 14)) (-2809 (((-112) $) 11)) (-1458 (($) 12)) (-3079 (($ $) 13)) (-2872 (((-783) $) 6 (|has| $ (-6 -4461))))) 
 (((-34) (-141)) (T -34)) 
-((-2001 (*1 *2 *1 *1) (-12 (-4 *1 (-34)) (-5 *2 (-112)))) (-3162 (*1 *1 *1) (-4 *1 (-34))) (-2953 (*1 *1) (-4 *1 (-34))) (-3321 (*1 *2 *1) (-12 (-4 *1 (-34)) (-5 *2 (-112)))) (-2356 (*1 *2 *1 *3) (-12 (-4 *1 (-34)) (-5 *3 (-783)) (-5 *2 (-112)))) (-2266 (*1 *2 *1 *3) (-12 (-4 *1 (-34)) (-5 *3 (-783)) (-5 *2 (-112)))) (-3762 (*1 *2 *1 *3) (-12 (-4 *1 (-34)) (-5 *3 (-783)) (-5 *2 (-112)))) (-4335 (*1 *1) (-4 *1 (-34))) (-2882 (*1 *2 *1) (-12 (|has| *1 (-6 -4461)) (-4 *1 (-34)) (-5 *2 (-783))))) 
-(-13 (-1236) (-10 -8 (-15 -2001 ((-112) $ $)) (-15 -3162 ($ $)) (-15 -2953 ($)) (-15 -3321 ((-112) $)) (-15 -2356 ((-112) $ (-783))) (-15 -2266 ((-112) $ (-783))) (-15 -3762 ((-112) $ (-783))) (-15 -4335 ($) -1716) (IF (|has| $ (-6 -4461)) (-15 -2882 ((-783) $)) |%noBranch|))) 
+((-2983 (*1 *2 *1 *1) (-12 (-4 *1 (-34)) (-5 *2 (-112)))) (-3079 (*1 *1 *1) (-4 *1 (-34))) (-1458 (*1 *1) (-4 *1 (-34))) (-2809 (*1 *2 *1) (-12 (-4 *1 (-34)) (-5 *2 (-112)))) (-2374 (*1 *2 *1 *3) (-12 (-4 *1 (-34)) (-5 *3 (-783)) (-5 *2 (-112)))) (-2408 (*1 *2 *1 *3) (-12 (-4 *1 (-34)) (-5 *3 (-783)) (-5 *2 (-112)))) (-2970 (*1 *2 *1 *3) (-12 (-4 *1 (-34)) (-5 *3 (-783)) (-5 *2 (-112)))) (-2473 (*1 *1) (-4 *1 (-34))) (-2872 (*1 *2 *1) (-12 (|has| *1 (-6 -4461)) (-4 *1 (-34)) (-5 *2 (-783))))) 
+(-13 (-1236) (-10 -8 (-15 -2983 ((-112) $ $)) (-15 -3079 ($ $)) (-15 -1458 ($)) (-15 -2809 ((-112) $)) (-15 -2374 ((-112) $ (-783))) (-15 -2408 ((-112) $ (-783))) (-15 -2970 ((-112) $ (-783))) (-15 -2473 ($) -3739) (IF (|has| $ (-6 -4461)) (-15 -2872 ((-783) $)) |%noBranch|))) 
 (((-1236) . T)) 
-((-2461 (($ $) 11)) (-2434 (($ $) 10)) (-2485 (($ $) 9)) (-2541 (($ $) 8)) (-2473 (($ $) 7)) (-2447 (($ $) 6))) 
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-((-2956 (((-874) $) NIL) (($ (-576)) NIL) (($ |#2|) 10))) 
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-NIL 
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+((-2884 (((-874) $) NIL) (($ (-576)) NIL) (($ |#2|) 10))) 
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+NIL 
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 (((-38 |#1|) (-141) (-174)) (T -38)) 
 NIL 
 (-13 (-1067) (-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 (-874)) . T) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 |#1|) . T) ((-660 $) . T) ((-652 |#1|) . T) ((-729 |#1|) . T) ((-738) . T) ((-1069 |#1|) . T) ((-1074 |#1|) . T) ((-1067) . T) ((-1076) . T) ((-1130) . T) ((-1118) . T)) 
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 (((-93) (-141)) (T -93)) 
 NIL 
 (-13 (-1118) (-502 (-1200))) 
 (((-102) . T) ((-628 #0=(-1200)) . T) ((-625 (-874)) . T) ((-625 #0#) . T) ((-502 #0#) . T) ((-1118) . T)) 
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 NIL 
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 NIL 
 (((-98) (-141)) (T -98)) 
 NIL 
 (-13 (-10 -7 (-6 -4461) (-6 (-4463 "*")) (-6 -4462) (-6 -4458) (-6 -4456) (-6 -4455) (-6 -4454) (-6 -4459) (-6 -4453) (-6 -4452) (-6 -4451) (-6 -4450) (-6 -4449) (-6 -4457) (-6 -4460) (-6 |NullSquare|) (-6 |JacobiIdentity|) (-6 -4448))) 
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-((-2869 (((-112) $ $) 10))) 
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-NIL 
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 (((-117 |#1|) (-881 |#1|) (-576)) (T -117)) 
 NIL 
 (-881 |#1|) 
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(($ $ (-937)) NIL) (($ $ (-783)) NIL) (($ $ (-576)) NIL)) (* (($ (-937) $) NIL) (($ (-783) $) NIL) (($ (-576) $) NIL) (($ $ $) NIL) (($ $ (-419 (-576))) NIL) (($ (-419 (-576)) $) NIL) (($ (-117 |#1|) $) NIL) (($ $ (-117 |#1|)) NIL))) 
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-NIL 
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-NIL 
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 (((-140) (-13 (-187) (-625 (-189)))) (T -140)) 
 NIL 
 (-13 (-187) (-625 (-189))) 
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-NIL 
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-NIL 
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 (((-195) (-799)) (T -195)) 
 NIL 
 (-799) 
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 (((-196) (-799)) (T -196)) 
 NIL 
 (-799) 
-((-2869 (((-112) $ $) NIL)) (-3826 (((-1053) (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -2055 (-1112 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1053)) 81) (((-1053) (-2 (|:| |fn| (-326 (-227))) (|:| -2055 (-656 (-1112 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1053)) NIL)) (-3944 (((-2 (|:| -3944 (-390)) (|:| |explanations| (-1177)) (|:| |extra| (-1053))) (-1081) (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -2055 (-1112 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 46) (((-2 (|:| -3944 (-390)) (|:| |explanations| (-1177)) (|:| |extra| (-1053))) (-1081) (-2 (|:| |fn| (-326 (-227))) (|:| -2055 (-656 (-1112 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) NIL)) (-2148 (((-1177) $) NIL)) (-3945 (((-1138) $) NIL)) (-2956 (((-874) $) NIL)) (-2617 (((-112) $ $) NIL)) (-2991 (((-112) $ $) NIL))) 
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 (((-197) (-799)) (T -197)) 
 NIL 
 (-799) 
-((-2869 (((-112) $ $) NIL)) (-3826 (((-1053) (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -2055 (-1112 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1053)) 63) (((-1053) (-2 (|:| |fn| (-326 (-227))) (|:| -2055 (-656 (-1112 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1053)) NIL)) (-3944 (((-2 (|:| -3944 (-390)) (|:| |explanations| (-1177)) (|:| |extra| (-1053))) (-1081) (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -2055 (-1112 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 36) (((-2 (|:| -3944 (-390)) (|:| |explanations| (-1177)) (|:| |extra| (-1053))) (-1081) (-2 (|:| |fn| (-326 (-227))) (|:| -2055 (-656 (-1112 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) NIL)) (-2148 (((-1177) $) NIL)) (-3945 (((-1138) $) NIL)) (-2956 (((-874) $) NIL)) (-2617 (((-112) $ $) NIL)) (-2991 (((-112) $ $) NIL))) 
+((-2862 (((-112) $ $) NIL)) (-1998 (((-1053) (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1908 (-1112 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1053)) 63) (((-1053) (-2 (|:| |fn| (-326 (-227))) (|:| -1908 (-656 (-1112 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1053)) NIL)) (-4037 (((-2 (|:| -4037 (-390)) (|:| |explanations| (-1177)) (|:| |extra| (-1053))) (-1081) (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1908 (-1112 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 36) (((-2 (|:| -4037 (-390)) (|:| |explanations| (-1177)) (|:| |extra| (-1053))) (-1081) (-2 (|:| |fn| (-326 (-227))) (|:| -1908 (-656 (-1112 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) NIL)) (-3733 (((-1177) $) NIL)) (-3914 (((-1138) $) NIL)) (-2884 (((-874) $) NIL)) (-3722 (((-112) $ $) NIL)) (-3915 (((-112) $ $) NIL))) 
 (((-198) (-799)) (T -198)) 
 NIL 
 (-799) 
-((-2869 (((-112) $ $) NIL)) (-3826 (((-1053) (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -2055 (-1112 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1053)) 75) (((-1053) (-2 (|:| |fn| (-326 (-227))) (|:| -2055 (-656 (-1112 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1053)) NIL)) (-3944 (((-2 (|:| -3944 (-390)) (|:| |explanations| (-1177)) (|:| |extra| (-1053))) (-1081) (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -2055 (-1112 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 40) (((-2 (|:| -3944 (-390)) (|:| |explanations| (-1177)) (|:| |extra| (-1053))) (-1081) (-2 (|:| |fn| (-326 (-227))) (|:| -2055 (-656 (-1112 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) NIL)) (-2148 (((-1177) $) NIL)) (-3945 (((-1138) $) NIL)) (-2956 (((-874) $) NIL)) (-2617 (((-112) $ $) NIL)) (-2991 (((-112) $ $) NIL))) 
+((-2862 (((-112) $ $) NIL)) (-1998 (((-1053) (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1908 (-1112 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1053)) 75) (((-1053) (-2 (|:| |fn| (-326 (-227))) (|:| -1908 (-656 (-1112 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1053)) NIL)) (-4037 (((-2 (|:| -4037 (-390)) (|:| |explanations| (-1177)) (|:| |extra| (-1053))) (-1081) (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1908 (-1112 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 40) (((-2 (|:| -4037 (-390)) (|:| |explanations| (-1177)) (|:| |extra| (-1053))) (-1081) (-2 (|:| |fn| (-326 (-227))) (|:| -1908 (-656 (-1112 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) NIL)) (-3733 (((-1177) $) NIL)) (-3914 (((-1138) $) NIL)) (-2884 (((-874) $) NIL)) (-3722 (((-112) $ $) NIL)) (-3915 (((-112) $ $) NIL))) 
 (((-199) (-799)) (T -199)) 
 NIL 
 (-799) 
-((-2869 (((-112) $ $) NIL)) (-3826 (((-1053) (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -2055 (-1112 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1053)) 93) (((-1053) (-2 (|:| |fn| (-326 (-227))) (|:| -2055 (-656 (-1112 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1053)) NIL)) (-3944 (((-2 (|:| -3944 (-390)) (|:| |explanations| (-1177)) (|:| |extra| (-1053))) (-1081) (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -2055 (-1112 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 49) (((-2 (|:| -3944 (-390)) (|:| |explanations| (-1177)) (|:| |extra| (-1053))) (-1081) (-2 (|:| |fn| (-326 (-227))) (|:| -2055 (-656 (-1112 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) NIL)) (-2148 (((-1177) $) NIL)) (-3945 (((-1138) $) NIL)) (-2956 (((-874) $) NIL)) (-2617 (((-112) $ $) NIL)) (-2991 (((-112) $ $) NIL))) 
+((-2862 (((-112) $ $) NIL)) (-1998 (((-1053) (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1908 (-1112 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1053)) 93) (((-1053) (-2 (|:| |fn| (-326 (-227))) (|:| -1908 (-656 (-1112 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227))) (-1053)) NIL)) (-4037 (((-2 (|:| -4037 (-390)) (|:| |explanations| (-1177)) (|:| |extra| (-1053))) (-1081) (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1908 (-1112 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 49) (((-2 (|:| -4037 (-390)) (|:| |explanations| (-1177)) (|:| |extra| (-1053))) (-1081) (-2 (|:| |fn| (-326 (-227))) (|:| -1908 (-656 (-1112 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) NIL)) (-3733 (((-1177) $) NIL)) (-3914 (((-1138) $) NIL)) (-2884 (((-874) $) NIL)) (-3722 (((-112) $ $) NIL)) (-3915 (((-112) $ $) NIL))) 
 (((-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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+((-2862 (((-112) $ $) NIL)) (-4037 (((-2 (|:| -4037 (-390)) (|:| |explanations| (-1177))) (-1081) (-2 (|:| |xinit| (-227)) (|:| |xend| (-227)) (|:| |fn| (-1286 (-326 (-227)))) (|:| |yinit| (-656 (-227))) (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 43)) (-3733 (((-1177) $) NIL)) (-3914 (((-1138) $) NIL)) (-2884 (((-874) $) NIL)) (-3722 (((-112) $ $) NIL)) (-2220 (((-1053) (-2 (|:| |xinit| (-227)) (|:| |xend| (-227)) (|:| |fn| (-1286 (-326 (-227)))) (|:| |yinit| (-656 (-227))) (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 75)) (-3915 (((-112) $ $) NIL))) 
 (((-208) (-812)) (T -208)) 
 NIL 
 (-812) 
-((-2869 (((-112) $ $) NIL)) (-3944 (((-2 (|:| -3944 (-390)) (|:| |explanations| (-1177))) (-1081) (-2 (|:| |xinit| (-227)) (|:| |xend| (-227)) (|:| |fn| (-1286 (-326 (-227)))) (|:| |yinit| (-656 (-227))) (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 43)) (-2148 (((-1177) $) NIL)) (-3945 (((-1138) $) NIL)) (-2956 (((-874) $) NIL)) (-2617 (((-112) $ $) NIL)) (-3891 (((-1053) (-2 (|:| |xinit| (-227)) (|:| |xend| (-227)) (|:| |fn| (-1286 (-326 (-227)))) (|:| |yinit| (-656 (-227))) (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 73)) (-2991 (((-112) $ $) NIL))) 
+((-2862 (((-112) $ $) NIL)) (-4037 (((-2 (|:| -4037 (-390)) (|:| |explanations| (-1177))) (-1081) (-2 (|:| |xinit| (-227)) (|:| |xend| (-227)) (|:| |fn| (-1286 (-326 (-227)))) (|:| |yinit| (-656 (-227))) (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 43)) (-3733 (((-1177) $) NIL)) (-3914 (((-1138) $) NIL)) (-2884 (((-874) $) NIL)) (-3722 (((-112) $ $) NIL)) (-2220 (((-1053) (-2 (|:| |xinit| (-227)) (|:| |xend| (-227)) (|:| |fn| (-1286 (-326 (-227)))) (|:| |yinit| (-656 (-227))) (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 73)) (-3915 (((-112) $ $) NIL))) 
 (((-209) (-812)) (T -209)) 
 NIL 
 (-812) 
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 (((-210) (-812)) (T -210)) 
 NIL 
 (-812) 
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 (((-211) (-812)) (T -211)) 
 NIL 
 (-812) 
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 (((-213) (-910)) (T -213)) 
 NIL 
 (-910) 
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 (((-214) (-910)) (T -214)) 
 NIL 
 (-910) 
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+NIL 
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 (((-231 |#1|) (-141) (-1118)) (T -231)) 
 NIL 
 (-13 (-241 |t#1|)) 
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 NIL 
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-((-3590 ((|#2| $) 9))) 
-(((-234 |#1| |#2|) (-10 -8 (-15 -3590 (|#2| |#1|))) (-235 |#2|) (-1236)) (T -234)) 
-NIL 
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+(((-234 |#1| |#2|) (-10 -8 (-15 -3431 (|#2| |#1|))) (-235 |#2|) (-1236)) (T -234)) 
+NIL 
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+((-2390 ((|#1| $) 7)) (-3431 ((|#1| $) 6))) 
 (((-235 |#1|) (-141) (-1236)) (T -235)) 
-((-3884 (*1 *2 *1) (-12 (-4 *1 (-235 *2)) (-4 *2 (-1236)))) (-3590 (*1 *2 *1) (-12 (-4 *1 (-235 *2)) (-4 *2 (-1236))))) 
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 (((-1236) . T)) 
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 (((-236 |#1|) (-141) (-174)) (T -236)) 
 NIL 
 (-13 (-729 |t#1|) (-238)) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-111 |#1| |#1|) . T) ((-132) . T) ((-625 (-874)) . T) ((-235 $) . T) ((-238) . T) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-660 |#1|) . T) ((-652 |#1|) . T) ((-729 |#1|) . T) ((-1069 |#1|) . T) ((-1074 |#1|) . T) ((-1118) . T) ((-1236) . T)) 
-((-3884 (($ $) NIL) (($ $ (-783)) 9)) (-3590 (($ $) NIL) (($ $ (-783)) 11))) 
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+((-2390 (($ $) NIL) (($ $ (-783)) 9)) (-3431 (($ $) NIL) (($ $ (-783)) 11))) 
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 NIL 
-(-10 -8 (-15 -3590 (|#1| |#1| (-783))) (-15 -3884 (|#1| |#1| (-783))) (-15 -3590 (|#1| |#1|)) (-15 -3884 (|#1| |#1|))) 
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+((-2390 (($ $) 7) (($ $ (-783)) 10)) (-3431 (($ $) 6) (($ $ (-783)) 9))) 
 (((-238) (-141)) (T -238)) 
-((-3884 (*1 *1 *1 *2) (-12 (-4 *1 (-238)) (-5 *2 (-783)))) (-3590 (*1 *1 *1 *2) (-12 (-4 *1 (-238)) (-5 *2 (-783))))) 
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 (((-235 $) . T) ((-1236) . T)) 
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 (((-239) (-141)) (T -239)) 
 NIL 
 (-13 (-1067) (-238)) 
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-((-1904 (($) 12) (($ (-656 |#2|)) NIL)) (-3162 (($ $) 14)) (-2968 (($ (-656 |#2|)) 10)) (-2956 (((-874) $) 21))) 
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 NIL 
-(-10 -8 (-15 -2956 ((-874) |#1|)) (-15 -1904 (|#1| (-656 |#2|))) (-15 -1904 (|#1|)) (-15 -2968 (|#1| (-656 |#2|))) (-15 -3162 (|#1| |#1|))) 
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(|has| |#2| (-1067)))) (((-701 (-576)) (-701 $)) NIL (-12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1067)))) (((-2 (|:| -2081 (-701 (-576))) (|:| |vec| (-1286 (-576)))) (-701 $) (-1286 $)) NIL (-12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1067)))) (((-2 (|:| -2081 (-701 |#2|)) (|:| |vec| (-1286 |#2|))) (-701 $) (-1286 $)) NIL (|has| |#2| (-1067))) (((-701 |#2|) (-701 $)) NIL (|has| |#2| (-1067))) (((-701 |#2|) (-1286 $)) NIL (|has| |#2| (-1067)))) (-4077 (((-3 $ "failed") $) 58 (|has| |#2| (-1067)))) (-2840 (($) NIL (|has| |#2| (-379)))) (-2481 ((|#2| $ (-576) |#2|) NIL (|has| $ (-6 -4462)))) (-2405 ((|#2| $ (-576)) 56)) (-1873 (((-656 |#2|) $) 14 (|has| $ (-6 -4461)))) (-4192 (((-112) $) NIL (|has| |#2| (-1067)))) (-2266 (((-112) $ (-783)) NIL)) (-4280 (((-576) $) 19 (|has| (-576) (-862)))) (-3639 (($ $ $) NIL (|has| |#2| (-862)))) (-2186 (((-656 |#2|) $) NIL (|has| $ (-6 -4461)))) (-2653 (((-112) |#2| $) NIL (-12 (|has| $ (-6 -4461)) (|has| |#2| (-1118))))) (-1475 (((-576) $) NIL 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 NIL 
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 NIL 
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 (((-249) (-141)) (T -249)) 
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 NIL 
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-((-2869 (((-112) $ $) 19 (|has| |#1| (-1118)))) (-3484 ((|#1| $) 55)) (-2012 ((|#1| $) 45)) (-3762 (((-112) $ (-783)) 8)) (-4335 (($) 7 T CONST)) (-1836 (($ $) 61)) (-2002 (($ $) 49)) (-2714 ((|#1| |#1| $) 47)) (-2175 ((|#1| $) 46)) (-1873 (((-656 |#1|) $) 31 (|has| $ (-6 -4461)))) (-2266 (((-112) $ (-783)) 9)) (-2186 (((-656 |#1|) $) 30 (|has| $ (-6 -4461)))) (-2653 (((-112) |#1| $) 28 (-12 (|has| |#1| (-1118)) (|has| $ (-6 -4461))))) (-2466 (($ (-1 |#1| |#1|) $) 35 (|has| $ (-6 -4462)))) (-1787 (($ (-1 |#1| |#1|) $) 36)) (-2356 (((-112) $ (-783)) 10)) (-4114 (((-783) $) 62)) (-2148 (((-1177) $) 22 (|has| |#1| (-1118)))) (-2138 ((|#1| $) 40)) (-1731 ((|#1| |#1| $) 53)) (-3049 ((|#1| |#1| $) 52)) (-2504 (($ |#1| $) 41)) (-1850 (((-783) $) 56)) (-3945 (((-1138) $) 21 (|has| |#1| (-1118)))) (-2114 ((|#1| $) 63)) (-1835 ((|#1| $) 51)) (-3291 ((|#1| $) 50)) (-4256 ((|#1| $) 42)) (-1875 (((-112) (-1 (-112) |#1|) $) 33 (|has| $ (-6 -4461)))) (-2666 (($ $ (-656 (-304 |#1|))) 27 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) (($ $ (-304 |#1|)) 26 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) (($ $ |#1| |#1|) 25 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) (($ $ (-656 |#1|) (-656 |#1|)) 24 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118))))) (-2001 (((-112) $ $) 14)) (-2367 ((|#1| |#1| $) 59)) (-3321 (((-112) $) 11)) (-2953 (($) 12)) (-3385 ((|#1| $) 60)) (-2817 (($) 58) (($ (-656 |#1|)) 57)) (-4295 (((-783) $) 44)) (-3954 (((-783) (-1 (-112) |#1|) $) 32 (|has| $ (-6 -4461))) (((-783) |#1| $) 29 (-12 (|has| |#1| (-1118)) (|has| $ (-6 -4461))))) (-3162 (($ $) 13)) (-2956 (((-874) $) 18 (|has| |#1| (-625 (-874))))) (-2952 ((|#1| $) 54)) (-2617 (((-112) $ $) 23 (|has| |#1| (-1118)))) (-2478 (($ (-656 |#1|)) 43)) (-1556 ((|#1| $) 64)) (-3972 (((-112) (-1 (-112) |#1|) $) 34 (|has| $ (-6 -4461)))) (-2991 (((-112) $ $) 20 (|has| |#1| (-1118)))) (-2882 (((-783) $) 6 (|has| $ (-6 -4461))))) 
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-NIL 
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NIL) (($ $ (-783)) NIL (|has| |#1| (-239))) (($ $) NIL (|has| |#1| (-239))) (($ $ (-656 (-1195)) (-656 (-783))) NIL (|has| |#1| (-914 (-1195)))) (($ $ (-1195) (-783)) NIL (|has| |#1| (-914 (-1195)))) (($ $ (-656 (-1195))) NIL (|has| |#1| (-914 (-1195)))) (($ $ (-1195)) NIL (|has| |#1| (-914 (-1195)))) (($ $ (-1 |#1| |#1|) (-783)) NIL) (($ $ (-1 |#1| |#1|)) NIL)) (-3915 (((-112) $ $) NIL)) (-4039 (($ $ |#1|) NIL (|has| |#1| (-374)))) (-4029 (($ $) NIL) (($ $ $) NIL)) (-4017 (($ $ $) NIL)) (** (($ $ (-937)) NIL) (($ $ (-783)) NIL)) (* (($ (-937) $) NIL) (($ (-783) $) NIL) (($ (-576) $) NIL) (($ $ $) NIL) (($ $ (-419 (-576))) NIL (|has| |#1| (-38 (-419 (-576))))) (($ (-419 (-576)) $) NIL (|has| |#1| (-38 (-419 (-576))))) (($ |#1| $) NIL) (($ $ |#1|) NIL))) 
 (((-273 |#1| |#2| |#3|) (-13 (-260 |#1| |#2| |#3| (-543 |#3|)) (-1056 (-1143 |#1| |#2|))) (-1067) (-862) (-275 |#2|)) (T -273)) 
 NIL 
 (-13 (-260 |#1| |#2| |#3| (-543 |#3|)) (-1056 (-1143 |#1| |#2|))) 
-((-2599 (((-783) $) 37)) (-1706 (((-3 |#2| "failed") $) 22)) (-2216 ((|#2| $) 33)) (-3884 (($ $ (-783)) 18) (($ $) 14)) (-2956 (((-874) $) 32) (($ |#2|) 11)) (-2991 (((-112) $ $) 26)) (-3014 (((-112) $ $) 36))) 
-(((-274 |#1| |#2|) (-10 -8 (-15 -2599 ((-783) |#1|)) (-15 -2956 (|#1| |#2|)) (-15 -1706 ((-3 |#2| "failed") |#1|)) (-15 -2216 (|#2| |#1|)) (-15 -3884 (|#1| |#1|)) (-15 -3884 (|#1| |#1| (-783))) (-15 -3014 ((-112) |#1| |#1|)) (-15 -2956 ((-874) |#1|)) (-15 -2991 ((-112) |#1| |#1|))) (-275 |#2|) (-862)) (T -274)) 
+((-2092 (((-783) $) 37)) (-2449 (((-3 |#2| "failed") $) 22)) (-4401 ((|#2| $) 33)) (-2390 (($ $ (-783)) 18) (($ $) 14)) (-2884 (((-874) $) 32) (($ |#2|) 11)) (-3915 (((-112) $ $) 26)) (-3943 (((-112) $ $) 36))) 
+(((-274 |#1| |#2|) (-10 -8 (-15 -2092 ((-783) |#1|)) (-15 -2884 (|#1| |#2|)) (-15 -2449 ((-3 |#2| "failed") |#1|)) (-15 -4401 (|#2| |#1|)) (-15 -2390 (|#1| |#1|)) (-15 -2390 (|#1| |#1| (-783))) (-15 -3943 ((-112) |#1| |#1|)) (-15 -2884 ((-874) |#1|)) (-15 -3915 ((-112) |#1| |#1|))) (-275 |#2|) (-862)) (T -274)) 
 NIL 
-(-10 -8 (-15 -2599 ((-783) |#1|)) (-15 -2956 (|#1| |#2|)) (-15 -1706 ((-3 |#2| "failed") |#1|)) (-15 -2216 (|#2| |#1|)) (-15 -3884 (|#1| |#1|)) (-15 -3884 (|#1| |#1| (-783))) (-15 -3014 ((-112) |#1| |#1|)) (-15 -2956 ((-874) |#1|)) (-15 -2991 ((-112) |#1| |#1|))) 
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 (((-275 |#1|) (-141) (-862)) (T -275)) 
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 (((-102) . T) ((-628 |#1|) . T) ((-625 (-874)) . T) ((-235 $) . T) ((-238) . T) ((-862) . T) ((-1056 |#1|) . T) ((-1118) . T) ((-1236) . T)) 
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-((-2869 (((-112) $ $) NIL)) (-3919 (((-1053) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3796 (-656 (-227))))) NIL) (((-1053) (-2 (|:| |fn| (-326 (-227))) (|:| -3796 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 56)) (-3944 (((-2 (|:| -3944 (-390)) (|:| |explanations| (-1177))) (-1081) (-2 (|:| |fn| (-326 (-227))) (|:| -3796 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 32) (((-2 (|:| -3944 (-390)) (|:| |explanations| (-1177))) (-1081) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3796 (-656 (-227))))) NIL)) (-2148 (((-1177) $) NIL)) (-3945 (((-1138) $) NIL)) (-2956 (((-874) $) NIL)) (-2617 (((-112) $ $) NIL)) (-2991 (((-112) $ $) NIL))) 
+((-1607 (((-656 (-1195)) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3475 (-656 (-227))))) 53)) (-3489 (((-656 (-1195)) (-326 (-227)) (-783)) 94)) (-2132 (((-3 (-326 (-227)) "failed") (-326 (-227))) 63)) (-2143 (((-326 (-227)) (-326 (-227))) 79)) (-2122 (((-2 (|:| |fn| (-326 (-227))) (|:| -3475 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227))))) (-2 (|:| |fn| (-326 (-227))) (|:| -3475 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 38)) (-2155 (((-112) (-656 (-326 (-227)))) 104)) (-4100 (((-112) (-326 (-227))) 36)) (-4119 (((-656 (-1177)) (-3 (|:| |noa| (-2 (|:| |fn| (-326 (-227))) (|:| -3475 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) (|:| |lsa| (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3475 (-656 (-227))))))) 132)) (-4094 (((-656 (-326 (-227))) (-656 (-326 (-227)))) 108)) (-4084 (((-656 (-326 (-227))) (-656 (-326 (-227)))) 106)) (-4075 (((-701 (-227)) (-656 (-326 (-227))) (-783)) 120)) (-3606 (((-112) (-326 (-227))) 31) (((-112) (-656 (-326 (-227)))) 105)) (-2112 (((-656 (-227)) (-656 (-855 (-227))) (-227)) 15)) (-3804 (((-390) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3475 (-656 (-227))))) 126)) (-4110 (((-1053) (-1195) (-1053)) 46))) 
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+((-4119 (*1 *2 *3) (-12 (-5 *3 (-3 (|:| |noa| (-2 (|:| |fn| (-326 (-227))) (|:| -3475 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) (|:| |lsa| (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3475 (-656 (-227))))))) (-5 *2 (-656 (-1177))) (-5 *1 (-276)))) (-3804 (*1 *2 *3) (-12 (-5 *3 (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3475 (-656 (-227))))) (-5 *2 (-390)) (-5 *1 (-276)))) (-4110 (*1 *2 *3 *2) (-12 (-5 *2 (-1053)) (-5 *3 (-1195)) (-5 *1 (-276)))) (-3489 (*1 *2 *3 *4) (-12 (-5 *3 (-326 (-227))) (-5 *4 (-783)) (-5 *2 (-656 (-1195))) (-5 *1 (-276)))) (-1607 (*1 *2 *3) (-12 (-5 *3 (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3475 (-656 (-227))))) (-5 *2 (-656 (-1195))) (-5 *1 (-276)))) (-4100 (*1 *2 *3) (-12 (-5 *3 (-326 (-227))) (-5 *2 (-112)) (-5 *1 (-276)))) (-4094 (*1 *2 *2) (-12 (-5 *2 (-656 (-326 (-227)))) (-5 *1 (-276)))) (-4084 (*1 *2 *2) (-12 (-5 *2 (-656 (-326 (-227)))) (-5 *1 (-276)))) (-4075 (*1 *2 *3 *4) (-12 (-5 *3 (-656 (-326 (-227)))) (-5 *4 (-783)) (-5 *2 (-701 (-227))) (-5 *1 (-276)))) (-3606 (*1 *2 *3) (-12 (-5 *3 (-326 (-227))) (-5 *2 (-112)) (-5 *1 (-276)))) (-3606 (*1 *2 *3) (-12 (-5 *3 (-656 (-326 (-227)))) (-5 *2 (-112)) (-5 *1 (-276)))) (-2155 (*1 *2 *3) (-12 (-5 *3 (-656 (-326 (-227)))) (-5 *2 (-112)) (-5 *1 (-276)))) (-2143 (*1 *2 *2) (-12 (-5 *2 (-326 (-227))) (-5 *1 (-276)))) (-2132 (*1 *2 *2) (|partial| -12 (-5 *2 (-326 (-227))) (-5 *1 (-276)))) (-2122 (*1 *2 *2) (-12 (-5 *2 (-2 (|:| |fn| (-326 (-227))) (|:| -3475 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) (-5 *1 (-276)))) (-2112 (*1 *2 *3 *4) (-12 (-5 *3 (-656 (-855 (-227)))) (-5 *4 (-227)) (-5 *2 (-656 *4)) (-5 *1 (-276))))) 
+(-10 -7 (-15 -2112 ((-656 (-227)) (-656 (-855 (-227))) (-227))) (-15 -2122 ((-2 (|:| |fn| (-326 (-227))) (|:| -3475 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227))))) (-2 (|:| |fn| (-326 (-227))) (|:| -3475 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227))))))) (-15 -2132 ((-3 (-326 (-227)) "failed") (-326 (-227)))) (-15 -2143 ((-326 (-227)) (-326 (-227)))) (-15 -2155 ((-112) (-656 (-326 (-227))))) (-15 -3606 ((-112) (-656 (-326 (-227))))) (-15 -3606 ((-112) (-326 (-227)))) (-15 -4075 ((-701 (-227)) (-656 (-326 (-227))) (-783))) (-15 -4084 ((-656 (-326 (-227))) (-656 (-326 (-227))))) (-15 -4094 ((-656 (-326 (-227))) (-656 (-326 (-227))))) (-15 -4100 ((-112) (-326 (-227)))) (-15 -1607 ((-656 (-1195)) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3475 (-656 (-227)))))) (-15 -3489 ((-656 (-1195)) (-326 (-227)) (-783))) (-15 -4110 ((-1053) (-1195) (-1053))) (-15 -3804 ((-390) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3475 (-656 (-227)))))) (-15 -4119 ((-656 (-1177)) (-3 (|:| |noa| (-2 (|:| |fn| (-326 (-227))) (|:| -3475 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) (|:| |lsa| (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3475 (-656 (-227))))))))) 
+((-2862 (((-112) $ $) NIL)) (-2064 (((-1053) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3475 (-656 (-227))))) NIL) (((-1053) (-2 (|:| |fn| (-326 (-227))) (|:| -3475 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 56)) (-4037 (((-2 (|:| -4037 (-390)) (|:| |explanations| (-1177))) (-1081) (-2 (|:| |fn| (-326 (-227))) (|:| -3475 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 32) (((-2 (|:| -4037 (-390)) (|:| |explanations| (-1177))) (-1081) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3475 (-656 (-227))))) NIL)) (-3733 (((-1177) $) NIL)) (-3914 (((-1138) $) NIL)) (-2884 (((-874) $) NIL)) (-3722 (((-112) $ $) NIL)) (-3915 (((-112) $ $) NIL))) 
 (((-277) (-851)) (T -277)) 
 NIL 
 (-851) 
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+((-2862 (((-112) $ $) NIL)) (-2064 (((-1053) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3475 (-656 (-227))))) 72) (((-1053) (-2 (|:| |fn| (-326 (-227))) (|:| -3475 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 63)) (-4037 (((-2 (|:| -4037 (-390)) (|:| |explanations| (-1177))) (-1081) (-2 (|:| |fn| (-326 (-227))) (|:| -3475 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 41) (((-2 (|:| -4037 (-390)) (|:| |explanations| (-1177))) (-1081) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3475 (-656 (-227))))) 43)) (-3733 (((-1177) $) NIL)) (-3914 (((-1138) $) NIL)) (-2884 (((-874) $) NIL)) (-3722 (((-112) $ $) NIL)) (-3915 (((-112) $ $) NIL))) 
 (((-278) (-851)) (T -278)) 
 NIL 
 (-851) 
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+((-2862 (((-112) $ $) NIL)) (-2064 (((-1053) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3475 (-656 (-227))))) 90) (((-1053) (-2 (|:| |fn| (-326 (-227))) (|:| -3475 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 85)) (-4037 (((-2 (|:| -4037 (-390)) (|:| |explanations| (-1177))) (-1081) (-2 (|:| |fn| (-326 (-227))) (|:| -3475 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 52) (((-2 (|:| -4037 (-390)) (|:| |explanations| (-1177))) (-1081) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3475 (-656 (-227))))) 65)) (-3733 (((-1177) $) NIL)) (-3914 (((-1138) $) NIL)) (-2884 (((-874) $) NIL)) (-3722 (((-112) $ $) NIL)) (-3915 (((-112) $ $) NIL))) 
 (((-279) (-851)) (T -279)) 
 NIL 
 (-851) 
-((-2869 (((-112) $ $) NIL)) (-3919 (((-1053) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3796 (-656 (-227))))) NIL) (((-1053) (-2 (|:| |fn| (-326 (-227))) (|:| -3796 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 73)) (-3944 (((-2 (|:| -3944 (-390)) (|:| |explanations| (-1177))) (-1081) (-2 (|:| |fn| (-326 (-227))) (|:| -3796 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 45) (((-2 (|:| -3944 (-390)) (|:| |explanations| (-1177))) (-1081) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3796 (-656 (-227))))) NIL)) (-2148 (((-1177) $) NIL)) (-3945 (((-1138) $) NIL)) (-2956 (((-874) $) NIL)) (-2617 (((-112) $ $) NIL)) (-2991 (((-112) $ $) NIL))) 
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 (((-280) (-851)) (T -280)) 
 NIL 
 (-851) 
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+((-2862 (((-112) $ $) NIL)) (-2064 (((-1053) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3475 (-656 (-227))))) NIL) (((-1053) (-2 (|:| |fn| (-326 (-227))) (|:| -3475 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 65)) (-4037 (((-2 (|:| -4037 (-390)) (|:| |explanations| (-1177))) (-1081) (-2 (|:| |fn| (-326 (-227))) (|:| -3475 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) 31) (((-2 (|:| -4037 (-390)) (|:| |explanations| (-1177))) (-1081) (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3475 (-656 (-227))))) NIL)) (-3733 (((-1177) $) NIL)) (-3914 (((-1138) $) NIL)) (-2884 (((-874) $) NIL)) (-3722 (((-112) $ $) NIL)) (-3915 (((-112) $ $) NIL))) 
 (((-281) (-851)) (T -281)) 
 NIL 
 (-851) 
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 (((-282) (-851)) (T -282)) 
 NIL 
 (-851) 
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 (((-283) (-851)) (T -283)) 
 NIL 
 (-851) 
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-NIL 
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 ((** (($ $ $) 10))) 
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 NIL 
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 NIL 
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 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 (-874)) . T) ((-174) . T) ((-300) . T) ((-464) . T) ((-568) . T) ((-658 (-576)) . T) ((-658 $) . T) ((-660 $) . T) ((-652 $) . T) ((-729 $) . T) ((-738) . T) ((-936) . T) ((-1069 $) . T) ((-1074 $) . T) ((-1067) . T) ((-1076) . T) ((-1130) . T) ((-1118) . T)) 
-((-2666 (($ $ (-656 |#2|) (-656 |#2|)) 14) (($ $ |#2| |#2|) NIL) (($ $ (-304 |#2|)) 11) (($ $ (-656 (-304 |#2|))) NIL))) 
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+((-3049 (($ $ (-656 |#2|) (-656 |#2|)) 14) (($ $ |#2| |#2|) NIL) (($ $ (-304 |#2|)) 11) (($ $ (-656 (-304 |#2|))) NIL))) 
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 NIL 
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 NIL 
 (-13 (-21) (-729 (-576)) (-333 |#1| (-576)) (-10 -7 (IF (|has| |#1| (-862)) (-6 (-862)) |%noBranch|))) 
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 NIL 
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 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-132) . T) ((-625 (-874)) . T) ((-658 (-576)) . T) ((-1118) . 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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 (((-375 |#1| |#2|) (-141) (-1118) (-1118)) (T -375)) 
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 (((-102) . T) ((-625 (-874)) . T) ((-1118) . 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 (-874)) . T) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 |#1|) . T) ((-660 $) . T) ((-652 |#1|) . T) ((-729 |#1|) . T) ((-738) . T) ((-1069 |#1|) . T) ((-1074 |#1|) . T) ((-1067) . T) ((-1076) . T) ((-1130) . T) ((-1118) . T)) 
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-NIL 
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-((-3928 (((-701 |#2|) (-1286 $)) NIL) (((-701 |#2|) (-701 $)) NIL) (((-2 (|:| -2081 (-701 |#2|)) (|:| |vec| (-1286 |#2|))) (-701 $) (-1286 $)) NIL) (((-2 (|:| -2081 (-701 (-576))) (|:| |vec| (-1286 (-576)))) (-701 $) (-1286 $)) 22) (((-701 (-576)) (-701 $)) 14) (((-701 (-576)) (-1286 $)) NIL))) 
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-NIL 
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+((-2613 (((-701 |#2|) (-1286 $)) NIL) (((-701 |#2|) (-701 $)) NIL) (((-2 (|:| -2869 (-701 |#2|)) (|:| |vec| (-1286 |#2|))) (-701 $) (-1286 $)) NIL) (((-2 (|:| -2869 (-701 (-576))) (|:| |vec| (-1286 (-576)))) (-701 $) (-1286 $)) 22) (((-701 (-576)) (-701 $)) 14) (((-701 (-576)) (-1286 $)) NIL))) 
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+NIL 
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 (((-388 |#1|) (-141) (-1067)) (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 (-874)) . 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) ((-1118) . T)) 
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 NIL 
 (-397 |#1|) 
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 (((-399) (-141)) (T -399)) 
 NIL 
 (-13 (-568) (-862) (-1056 (-576))) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-38 $) . T) ((-102) . T) ((-111 $ $) . T) ((-132) . T) ((-628 (-576)) . T) ((-628 $) . T) ((-625 (-874)) . T) ((-174) . T) ((-300) . T) ((-568) . T) ((-658 (-576)) . T) ((-658 $) . T) ((-660 $) . T) ((-652 $) . T) ((-729 $) . T) ((-738) . T) ((-862) . T) ((-1056 (-576)) . T) ((-1069 $) . T) ((-1074 $) . T) ((-1067) . T) ((-1076) . T) ((-1130) . T) ((-1118) . T)) 
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 (((-400) (-401)) (T -400)) 
 NIL 
 (-401) 
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 (((-102) . T) ((-628 #0=(-1177)) . T) ((-625 (-874)) . T) ((-625 #0#) . T) ((-502 #0#) . T) ((-1118) . T)) 
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 (((-412 |#1|) (-141) (-1236)) (T -412)) 
 NIL 
 (-13 (-1236) (-10 -7 (IF (|has| |t#1| (-899 (-576))) (-6 (-899 (-576))) |%noBranch|) (IF (|has| |t#1| (-899 (-390))) (-6 (-899 (-390))) |%noBranch|))) 
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-((-3454 (($ $) 10) (($ $ (-783)) 12))) 
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+((-4188 (($ $) 10) (($ $ (-783)) 12))) 
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 NIL 
-(-10 -8 (-15 -3454 (|#1| |#1| (-783))) (-15 -3454 (|#1| |#1|))) 
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 (((-421 |#1| |#2|) (-141) (-174) (-1262 |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 (-874)) . 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) ((-1069 |#1|) . T) ((-1074 |#1|) . T) ((-1067) . T) ((-1076) . T) ((-1130) . T) ((-1118) . T)) 
-((-1706 (((-3 |#2| "failed") $) NIL) (((-3 (-419 (-576)) "failed") $) 27) (((-3 (-576) "failed") $) 19)) (-2216 ((|#2| $) NIL) (((-419 (-576)) $) 24) (((-576) $) 14)) (-2956 (($ |#2|) NIL) (($ (-419 (-576))) 22) (($ (-576)) 11))) 
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+((-2449 (((-3 |#2| "failed") $) NIL) (((-3 (-419 (-576)) "failed") $) 27) (((-3 (-576) "failed") $) 19)) (-4401 ((|#2| $) NIL) (((-419 (-576)) $) 24) (((-576) $) 14)) (-2884 (($ |#2|) NIL) (($ (-419 (-576))) 22) (($ (-576)) 11))) 
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 NIL 
-(-10 -8 (-15 -2956 (|#1| (-576))) (-15 -1706 ((-3 (-576) "failed") |#1|)) (-15 -2216 ((-576) |#1|)) (-15 -2956 (|#1| (-419 (-576)))) (-15 -1706 ((-3 (-419 (-576)) "failed") |#1|)) (-15 -2216 ((-419 (-576)) |#1|)) (-15 -2216 (|#2| |#1|)) (-15 -1706 ((-3 |#2| "failed") |#1|)) (-15 -2956 (|#1| |#2|))) 
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 (((-423 |#1|) (-141) (-1236)) (T -423)) 
 NIL 
 (-13 (-1056 |t#1|) (-10 -7 (IF (|has| |t#1| (-1056 (-576))) (-6 (-1056 (-576))) |%noBranch|) (IF (|has| |t#1| (-1056 (-419 (-576)))) (-6 (-1056 (-419 (-576)))) |%noBranch|))) 
 (((-628 #0=(-419 (-576))) |has| |#1| (-1056 (-419 (-576)))) ((-628 #1=(-576)) |has| |#1| (-1056 (-576))) ((-628 |#1|) . T) ((-1056 #0#) |has| |#1| (-1056 (-419 (-576)))) ((-1056 #1#) |has| |#1| (-1056 (-576))) ((-1056 |#1|) . T)) 
-((-1787 (((-425 |#5| |#6| |#7| |#8|) (-1 |#5| |#1|) (-425 |#1| |#2| |#3| |#4|)) 35))) 
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-((-1787 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *9 *5)) (-5 *4 (-425 *5 *6 *7 *8)) (-4 *5 (-317)) (-4 *6 (-1010 *5)) (-4 *7 (-1262 *6)) (-4 *8 (-13 (-421 *6 *7) (-1056 *6))) (-4 *9 (-317)) (-4 *10 (-1010 *9)) (-4 *11 (-1262 *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) (-1056 *10)))))) 
-(-10 -7 (-15 -1787 ((-425 |#5| |#6| |#7| |#8|) (-1 |#5| |#1|) (-425 |#1| |#2| |#3| |#4|)))) 
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-((-1787 ((|#3| (-1 |#4| |#2|) |#1|) 29))) 
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-((-1770 ((|#4| |#4| (-656 |#4|)) 20 (|has| |#1| (-374)))) (-3219 (((-656 |#4|) (-656 |#4|) (-1177) (-1177)) 46) (((-656 |#4|) (-656 |#4|) (-1177)) 45) (((-656 |#4|) (-656 |#4|)) 34))) 
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-((-1770 (*1 *2 *2 *3) (-12 (-5 *3 (-656 *2)) (-4 *2 (-965 *4 *5 *6)) (-4 *4 (-374)) (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-862)) (-5 *1 (-462 *4 *5 *6 *2)))) (-3219 (*1 *2 *2 *3 *3) (-12 (-5 *2 (-656 *7)) (-5 *3 (-1177)) (-4 *7 (-965 *4 *5 *6)) (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-862)) (-5 *1 (-462 *4 *5 *6 *7)))) (-3219 (*1 *2 *2 *3) (-12 (-5 *2 (-656 *7)) (-5 *3 (-1177)) (-4 *7 (-965 *4 *5 *6)) (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-862)) (-5 *1 (-462 *4 *5 *6 *7)))) (-3219 (*1 *2 *2) (-12 (-5 *2 (-656 *6)) (-4 *6 (-965 *3 *4 *5)) (-4 *3 (-464)) (-4 *4 (-805)) (-4 *5 (-862)) (-5 *1 (-462 *3 *4 *5 *6))))) 
-(-10 -7 (-15 -3219 ((-656 |#4|) (-656 |#4|))) (-15 -3219 ((-656 |#4|) (-656 |#4|) (-1177))) (-15 -3219 ((-656 |#4|) (-656 |#4|) (-1177) (-1177))) (IF (|has| |#1| (-374)) (-15 -1770 (|#4| |#4| (-656 |#4|))) |%noBranch|)) 
-((-2850 (($ $ $) 14) (($ (-656 $)) 21)) (-2045 (((-1191 $) (-1191 $) (-1191 $)) 46)) (-2892 (($ $ $) NIL) (($ (-656 $)) 22))) 
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-NIL 
-(-10 -8 (-15 -2045 ((-1191 |#1|) (-1191 |#1|) (-1191 |#1|))) (-15 -2850 (|#1| (-656 |#1|))) (-15 -2850 (|#1| |#1| |#1|)) (-15 -2892 (|#1| (-656 |#1|))) (-15 -2892 (|#1| |#1| |#1|))) 
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-NIL 
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-NIL 
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+NIL 
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 (((-102) . T) ((-625 (-874)) . T) ((-1118) . T)) 
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-NIL 
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+NIL 
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 (((-102) . T) ((-625 (-874)) . T) ((-738) . T) ((-1130) . T) ((-1118) . T)) 
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 (((-487 |#1| |#2| |#3| |#4|) (-1212 |#1| |#2|) (-1118) (-1118) (-1212 |#1| |#2|) |#2|) (T -487)) 
 NIL 
 (-1212 |#1| |#2|) 
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 (((-488 |#1| |#2| |#3| |#4|) (-1229 |#1| |#2| |#3| |#4|) (-568) (-805) (-862) (-1083 |#1| |#2| |#3|)) (T -488)) 
 NIL 
 (-1229 |#1| |#2| |#3| |#4|) 
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-((-3009 (*1 *1) (-5 *1 (-489)))) 
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-(((-490) (-13 (-1101) (-10 -8 (-15 -1806 ((-1153) $)) (-15 -1818 ((-1153) $))))) (T -490)) 
-((-1806 (*1 *2 *1) (-12 (-5 *2 (-1153)) (-5 *1 (-490)))) (-1818 (*1 *2 *1) (-12 (-5 *2 (-1153)) (-5 *1 (-490))))) 
-(-13 (-1101) (-10 -8 (-15 -1806 ((-1153) $)) (-15 -1818 ((-1153) $)))) 
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(($ (-1 (-112) (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) $) NIL (|has| $ (-6 -4461)))) (-2887 (((-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-1 (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) $ (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) NIL (-12 (|has| $ (-6 -4461)) (|has| (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-1118)))) (((-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-1 (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) $ (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) NIL (|has| $ (-6 -4461))) (((-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-1 (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-2 (|:| -3672 |#1|) (|:| -1918 |#2|)) (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) $) NIL (|has| $ (-6 -4461)))) (-2481 ((|#2| $ |#1| |#2|) NIL (|has| $ (-6 -4462)))) (-2405 ((|#2| $ |#1|) NIL)) (-1873 (((-656 (-2 (|:| -3672 |#1|) (|:| -1918 |#2|))) $) NIL (|has| $ 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 NIL 
 (-13 (-1212 |#1| |#2|) (-10 -7 (-6 -4461))) 
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 NIL 
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 NIL 
 (-346 |#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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 NIL 
 (-57 |#1| (-508 |#1| |#3|) (-508 |#1| |#2|)) 
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 NIL 
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 NIL 
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 NIL 
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 NIL 
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 (((-524 |#1| |#2|) (-521 |#1| |#2|) (-1118) (-862)) (T -524)) 
 NIL 
 (-521 |#1| |#2|) 
-((-2666 (($ $ (-656 |#2|) (-656 |#3|)) NIL) (($ $ |#2| |#3|) 12))) 
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+((-3049 (($ $ (-656 |#2|) (-656 |#3|)) NIL) (($ $ |#2| |#3|) 12))) 
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 NIL 
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-((-2666 (($ $ (-656 |#1|) (-656 |#2|)) 7) (($ $ |#1| |#2|) 6))) 
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+((-3049 (($ $ (-656 |#1|) (-656 |#2|)) 7) (($ $ |#1| |#2|) 6))) 
 (((-526 |#1| |#2|) (-141) (-1118) (-1236)) (T -526)) 
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 (((-527 |#1| |#2| |#3|) (-333 |#1| |#2|) (-1118) (-132) |#2|) (T -527)) 
 NIL 
 (-333 |#1| |#2|) 
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-((-2279 (*1 *2 *1) (-12 (-5 *2 (-1153)) (-5 *1 (-529)))) (-2038 (*1 *2 *1) (-12 (-5 *2 (-1153)) (-5 *1 (-529)))) (-2562 (*1 *2 *1) (-12 (-5 *2 (-1153)) (-5 *1 (-529))))) 
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 NIL 
 (-339 (-593 |#1|)) 
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 (((-531 |#1| |#2| |#3| |#4| |#5|) (-57 |#1| |#4| |#5|) (-1236) (-576) (-576) (-384 |#1|) (-384 |#1|)) (T -531)) 
 NIL 
 (-57 |#1| |#4| |#5|) 
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(|has| $ (-6 -4462)))) (-3442 (($ $ (-656 $)) NIL (|has| $ (-6 -4462)))) (-1443 (($ (-1 (-112) |#1|) $) NIL)) (-3985 (($ (-1 (-112) |#1|) $) NIL (|has| $ (-6 -4461)))) (-2978 ((|#1| $) NIL)) (-2473 (($) NIL T CONST)) (-2745 (($ $) 28 (|has| $ (-6 -4462)))) (-4379 (($ $) 29)) (-1976 (($ $) 18) (($ $ (-783)) 32)) (-2257 (($ $) 62 (|has| |#1| (-1118)))) (-1919 (($ $) NIL (-12 (|has| $ (-6 -4461)) (|has| |#1| (-1118))))) (-2833 (($ |#1| $) NIL (|has| |#1| (-1118))) (($ (-1 (-112) |#1|) $) NIL)) (-3634 (($ (-1 (-112) |#1|) $) NIL (|has| $ (-6 -4461))) (($ |#1| $) NIL (-12 (|has| $ (-6 -4461)) (|has| |#1| (-1118))))) (-2309 ((|#1| (-1 |#1| |#1| |#1|) $) NIL (|has| $ (-6 -4461))) ((|#1| (-1 |#1| |#1| |#1|) $ |#1|) NIL (|has| $ (-6 -4461))) ((|#1| (-1 |#1| |#1| |#1|) $ |#1| |#1|) NIL (-12 (|has| $ (-6 -4461)) (|has| |#1| (-1118))))) (-2859 ((|#1| $ (-576) |#1|) NIL (|has| $ (-6 -4462)))) (-2789 ((|#1| $ (-576)) NIL)) (-1811 (((-112) $) NIL)) (-2634 (((-576) |#1| $ (-576)) NIL (|has| |#1| 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 (((-532 |#1| |#2|) (-678 |#1|) (-1236) (-576)) (T -532)) 
 NIL 
 (-678 |#1|) 
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 (((-535 |#1| |#2| |#3|) (-699 |#1| (-614 |#1| |#3|) (-614 |#1| |#2|)) (-1067) (-576) (-576)) (T -535)) 
 NIL 
 (-699 |#1| (-614 |#1| |#3|) (-614 |#1| |#2|)) 
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-(((-536) (-13 (-1101) (-10 -8 (-15 -2956 ($ (-656 (-1235)))) (-15 -1565 ((-656 (-1235)) $))))) (T -536)) 
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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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 NIL 
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-((-1918 (*1 *2 *3) (-12 (-5 *3 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -2055 (-1112 (-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| (-1175 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -2055 (-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)))) (-4274 (*1 *2 *1) (-12 (-5 *2 (-656 (-2 (|:| -3672 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -2055 (-1112 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| -1918 (-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| (-1175 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -2055 (-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)))) (-2018 (*1 *2 *3) (|partial| -12 (-5 *3 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -2055 (-1112 (-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| (-1175 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -2055 (-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)))) (-2504 (*1 *1 *2) (-12 (-5 *2 (-2 (|:| -3672 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -2055 (-1112 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| -1918 (-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| (-1175 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -2055 (-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)))) (-4152 (*1 *1 *2) (-12 (-5 *2 (-656 (-2 (|:| -3672 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -2055 (-1112 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| 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+(-10 -7 (-15 -2354 ((-430 |#1|) |#1|)) (-15 -3986 ((-430 |#1|) |#1|)) (-15 -4314 ((-430 |#1|) |#1|)) (-15 -4325 ((-3 |#1| "failed") |#1|))) 
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+((-3180 (*1 *2 *3) (-12 (-5 *3 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1908 (-1112 (-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| (-1175 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1908 (-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)))) (-3403 (*1 *2 *1) (-12 (-5 *2 (-656 (-2 (|:| -4169 (-2 (|:| 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 NIL 
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 NIL 
 (-1284 |#1|) 
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 NIL 
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 (((-616 |#1| |#2|) (-141) (-1118) (-1236)) (T -616)) 
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-((-2956 (((-874) $) 19) (($ (-130)) 13) (((-130) $) 14))) 
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 (((-617) (-13 (-625 (-874)) (-502 (-130)))) (T -617)) 
 NIL 
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 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-132) . T) ((-625 (-874)) . T) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-660 |#1|) . T) ((-1118) . T)) 
-((-2869 (((-112) $ $) 7)) (-3549 (((-112) $) 15)) (-2148 (((-1177) $) 10)) (-3945 (((-1138) $) 11)) (-2956 (((-874) $) 12)) (-2617 (((-112) $ $) 9)) (-2143 (($) 16 T CONST)) (-2991 (((-112) $ $) 6)) (* (($ |#1| $) 14) (($ $ |#1|) 19))) 
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 (((-652 |#1|) (-141) (-1130)) (T -652)) 
 NIL 
 (-13 (-658 |t#1|) (-1069 |t#1|)) 
 (((-102) . T) ((-625 (-874)) . T) ((-658 |#1|) . T) ((-1069 |#1|) . T) ((-1118) . T)) 
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-((-1787 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 *8 *6 *7)) (-5 *4 (-656 *6)) (-5 *5 (-656 *7)) (-4 *6 (-1236)) (-4 *7 (-1236)) (-4 *8 (-1236)) (-5 *2 (-656 *8)) (-5 *1 (-655 *6 *7 *8))))) 
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-((-2869 (((-112) $ $) NIL)) (-2148 (((-1177) $) NIL)) (-3945 (((-1138) $) NIL)) (-2956 (((-874) $) 11) (($ (-1200)) NIL) (((-1200) $) NIL) ((|#1| $) 8)) (-2617 (((-112) $ $) NIL)) (-2991 (((-112) $ $) NIL))) 
+((-1616 ((|#2| (-656 |#1|) (-656 |#2|) |#1| (-1 |#2| |#1|)) 18) (((-1 |#2| |#1|) (-656 |#1|) (-656 |#2|) (-1 |#2| |#1|)) 19) ((|#2| (-656 |#1|) (-656 |#2|) |#1| |#2|) 16) (((-1 |#2| |#1|) (-656 |#1|) (-656 |#2|) |#2|) 17) ((|#2| (-656 |#1|) (-656 |#2|) |#1|) 10) (((-1 |#2| |#1|) (-656 |#1|) (-656 |#2|)) 12))) 
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 NIL 
 (-13 (-21) (-658 |t#1|)) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-132) . T) ((-625 (-874)) . T) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-1118) . T)) 
-((-2869 (((-112) $ $) NIL)) (-1499 (((-783) $) 17)) (-1550 (($ $ |#1|) 69)) (-2002 (($ $) 39)) (-4427 (($ $) 37)) (-1706 (((-3 |#1| "failed") $) 61)) (-2216 ((|#1| $) NIL)) (-3726 (($ |#1| |#2| $) 79) (($ $ $) 81)) (-3069 (((-874) $ (-1 (-874) (-874) (-874)) (-1 (-874) (-874) (-874)) (-576)) 56)) (-1762 ((|#1| $ (-576)) 35)) (-3056 ((|#2| $ (-576)) 34)) (-2121 (($ (-1 |#1| |#1|) $) 41)) (-1945 (($ (-1 |#2| |#2|) $) 47)) (-2056 (($) 11)) (-3608 (($ |#1| |#2|) 24)) (-3510 (($ (-656 (-2 (|:| |gen| |#1|) (|:| -1619 |#2|)))) 25)) (-2698 (((-656 (-2 (|:| |gen| |#1|) (|:| -1619 |#2|))) $) 14)) (-3617 (($ |#1| $) 71)) (-2148 (((-1177) $) NIL)) (-3945 (((-1138) $) NIL)) (-2050 (((-112) $ $) 76)) (-2956 (((-874) $) 21) (($ |#1|) 18)) (-2617 (((-112) $ $) NIL)) (-2991 (((-112) $ $) 27))) 
-(((-661 |#1| |#2| |#3|) (-13 (-1118) (-1056 |#1|) (-10 -8 (-15 -3069 ((-874) $ (-1 (-874) (-874) (-874)) (-1 (-874) (-874) (-874)) (-576))) (-15 -2698 ((-656 (-2 (|:| |gen| |#1|) (|:| -1619 |#2|))) $)) (-15 -3608 ($ |#1| |#2|)) (-15 -3510 ($ (-656 (-2 (|:| |gen| |#1|) (|:| -1619 |#2|))))) (-15 -3056 (|#2| $ (-576))) (-15 -1762 (|#1| $ (-576))) (-15 -4427 ($ $)) (-15 -2002 ($ $)) (-15 -1499 ((-783) $)) (-15 -2056 ($)) (-15 -1550 ($ $ |#1|)) (-15 -3617 ($ |#1| $)) (-15 -3726 ($ |#1| |#2| $)) (-15 -3726 ($ $ $)) (-15 -2050 ((-112) $ $)) (-15 -1945 ($ (-1 |#2| |#2|) $)) (-15 -2121 ($ (-1 |#1| |#1|) $)))) (-1118) (-23) |#2|) (T -661)) 
-((-3069 (*1 *2 *1 *3 *3 *4) (-12 (-5 *3 (-1 (-874) (-874) (-874))) (-5 *4 (-576)) (-5 *2 (-874)) (-5 *1 (-661 *5 *6 *7)) (-4 *5 (-1118)) (-4 *6 (-23)) (-14 *7 *6))) (-2698 (*1 *2 *1) (-12 (-5 *2 (-656 (-2 (|:| |gen| *3) (|:| -1619 *4)))) (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1118)) (-4 *4 (-23)) (-14 *5 *4))) (-3608 (*1 *1 *2 *3) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1118)) (-4 *3 (-23)) (-14 *4 *3))) (-3510 (*1 *1 *2) (-12 (-5 *2 (-656 (-2 (|:| |gen| *3) (|:| -1619 *4)))) (-4 *3 (-1118)) (-4 *4 (-23)) (-14 *5 *4) (-5 *1 (-661 *3 *4 *5)))) (-3056 (*1 *2 *1 *3) (-12 (-5 *3 (-576)) (-4 *2 (-23)) (-5 *1 (-661 *4 *2 *5)) (-4 *4 (-1118)) (-14 *5 *2))) (-1762 (*1 *2 *1 *3) (-12 (-5 *3 (-576)) (-4 *2 (-1118)) (-5 *1 (-661 *2 *4 *5)) (-4 *4 (-23)) (-14 *5 *4))) (-4427 (*1 *1 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1118)) (-4 *3 (-23)) (-14 *4 *3))) (-2002 (*1 *1 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1118)) (-4 *3 (-23)) (-14 *4 *3))) (-1499 (*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1118)) (-4 *4 (-23)) (-14 *5 *4))) (-2056 (*1 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1118)) (-4 *3 (-23)) (-14 *4 *3))) (-1550 (*1 *1 *1 *2) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1118)) (-4 *3 (-23)) (-14 *4 *3))) (-3617 (*1 *1 *2 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1118)) (-4 *3 (-23)) (-14 *4 *3))) (-3726 (*1 *1 *2 *3 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1118)) (-4 *3 (-23)) (-14 *4 *3))) (-3726 (*1 *1 *1 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1118)) (-4 *3 (-23)) (-14 *4 *3))) (-2050 (*1 *2 *1 *1) (-12 (-5 *2 (-112)) (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1118)) (-4 *4 (-23)) (-14 *5 *4))) (-1945 (*1 *1 *2 *1) (-12 (-5 *2 (-1 *4 *4)) (-4 *4 (-23)) (-14 *5 *4) (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1118)))) (-2121 (*1 *1 *2 *1) (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1118)) (-5 *1 (-661 *3 *4 *5)) (-4 *4 (-23)) (-14 *5 *4)))) 
-(-13 (-1118) (-1056 |#1|) (-10 -8 (-15 -3069 ((-874) $ (-1 (-874) (-874) (-874)) (-1 (-874) (-874) (-874)) (-576))) (-15 -2698 ((-656 (-2 (|:| |gen| |#1|) (|:| -1619 |#2|))) $)) (-15 -3608 ($ |#1| |#2|)) (-15 -3510 ($ (-656 (-2 (|:| |gen| |#1|) (|:| -1619 |#2|))))) (-15 -3056 (|#2| $ (-576))) (-15 -1762 (|#1| $ (-576))) (-15 -4427 ($ $)) (-15 -2002 ($ $)) (-15 -1499 ((-783) $)) (-15 -2056 ($)) (-15 -1550 ($ $ |#1|)) (-15 -3617 ($ |#1| $)) (-15 -3726 ($ |#1| |#2| $)) (-15 -3726 ($ $ $)) (-15 -2050 ((-112) $ $)) (-15 -1945 ($ (-1 |#2| |#2|) $)) (-15 -2121 ($ (-1 |#1| |#1|) $)))) 
-((-1475 (((-576) $) 31)) (-1604 (($ |#2| $ (-576)) 27) (($ $ $ (-576)) NIL)) (-2961 (((-656 (-576)) $) 12)) (-4254 (((-112) (-576) $) 18)) (-4136 (($ $ |#2|) 24) (($ |#2| $) 25) (($ $ $) NIL) (($ (-656 $)) NIL))) 
-(((-662 |#1| |#2|) (-10 -8 (-15 -1604 (|#1| |#1| |#1| (-576))) (-15 -1604 (|#1| |#2| |#1| (-576))) (-15 -4136 (|#1| (-656 |#1|))) (-15 -4136 (|#1| |#1| |#1|)) (-15 -4136 (|#1| |#2| |#1|)) (-15 -4136 (|#1| |#1| |#2|)) (-15 -1475 ((-576) |#1|)) (-15 -2961 ((-656 (-576)) |#1|)) (-15 -4254 ((-112) (-576) |#1|))) (-663 |#2|) (-1236)) (T -662)) 
-NIL 
-(-10 -8 (-15 -1604 (|#1| |#1| |#1| (-576))) (-15 -1604 (|#1| |#2| |#1| (-576))) (-15 -4136 (|#1| (-656 |#1|))) (-15 -4136 (|#1| |#1| |#1|)) (-15 -4136 (|#1| |#2| |#1|)) (-15 -4136 (|#1| |#1| |#2|)) (-15 -1475 ((-576) |#1|)) (-15 -2961 ((-656 (-576)) |#1|)) (-15 -4254 ((-112) (-576) |#1|))) 
-((-2869 (((-112) $ $) 19 (|has| |#1| (-1118)))) (-3526 (((-1291) $ (-576) (-576)) 41 (|has| $ (-6 -4462)))) (-3762 (((-112) $ (-783)) 8)) (-3140 ((|#1| $ (-576) |#1|) 53 (|has| $ (-6 -4462))) ((|#1| $ (-1253 (-576)) |#1|) 60 (|has| $ (-6 -4462)))) (-2174 (($ (-1 (-112) |#1|) $) 77 (|has| $ (-6 -4461)))) (-4335 (($) 7 T CONST)) (-4060 (($ $) 80 (-12 (|has| |#1| (-1118)) (|has| $ (-6 -4461))))) (-3316 (($ |#1| $) 79 (-12 (|has| |#1| (-1118)) (|has| $ (-6 -4461)))) (($ (-1 (-112) |#1|) $) 76 (|has| $ (-6 -4461)))) (-2887 ((|#1| (-1 |#1| |#1| |#1|) $ |#1| |#1|) 78 (-12 (|has| |#1| (-1118)) (|has| $ (-6 -4461)))) ((|#1| (-1 |#1| |#1| |#1|) $ |#1|) 75 (|has| $ (-6 -4461))) ((|#1| (-1 |#1| |#1| |#1|) $) 74 (|has| $ (-6 -4461)))) (-2481 ((|#1| $ (-576) |#1|) 54 (|has| $ (-6 -4462)))) (-2405 ((|#1| $ (-576)) 52)) (-1873 (((-656 |#1|) $) 31 (|has| $ (-6 -4461)))) (-3769 (($ (-783) |#1|) 70)) (-2266 (((-112) $ (-783)) 9)) (-4280 (((-576) $) 44 (|has| (-576) (-862)))) (-2186 (((-656 |#1|) $) 30 (|has| $ (-6 -4461)))) (-2653 (((-112) |#1| $) 28 (-12 (|has| |#1| (-1118)) (|has| $ (-6 -4461))))) (-1475 (((-576) $) 45 (|has| (-576) (-862)))) (-2466 (($ (-1 |#1| |#1|) $) 35 (|has| $ (-6 -4462)))) (-1787 (($ (-1 |#1| |#1|) $) 36) (($ (-1 |#1| |#1| |#1|) $ $) 65)) (-2356 (((-112) $ (-783)) 10)) (-2148 (((-1177) $) 22 (|has| |#1| (-1118)))) (-1604 (($ |#1| $ (-576)) 62) (($ $ $ (-576)) 61)) (-2961 (((-656 (-576)) $) 47)) (-4254 (((-112) (-576) $) 48)) (-3945 (((-1138) $) 21 (|has| |#1| (-1118)))) (-2930 ((|#1| $) 43 (|has| (-576) (-862)))) (-2922 (((-3 |#1| "failed") (-1 (-112) |#1|) $) 73)) (-4211 (($ $ |#1|) 42 (|has| $ (-6 -4462)))) (-1875 (((-112) (-1 (-112) |#1|) $) 33 (|has| $ (-6 -4461)))) (-2666 (($ $ (-656 (-304 |#1|))) 27 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) (($ $ (-304 |#1|)) 26 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) (($ $ |#1| |#1|) 25 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118)))) (($ $ (-656 |#1|) (-656 |#1|)) 24 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1118))))) (-2001 (((-112) $ $) 14)) (-1498 (((-112) |#1| $) 46 (-12 (|has| $ (-6 -4461)) (|has| |#1| (-1118))))) (-4274 (((-656 |#1|) $) 49)) (-3321 (((-112) $) 11)) (-2953 (($) 12)) (-2209 ((|#1| $ (-576) |#1|) 51) ((|#1| $ (-576)) 50) (($ $ (-1253 (-576))) 71)) (-2860 (($ $ (-576)) 64) (($ $ (-1253 (-576))) 63)) (-3954 (((-783) (-1 (-112) |#1|) $) 32 (|has| $ (-6 -4461))) (((-783) |#1| $) 29 (-12 (|has| |#1| (-1118)) (|has| $ (-6 -4461))))) (-3162 (($ $) 13)) (-1846 (((-548) $) 81 (|has| |#1| (-626 (-548))))) (-2968 (($ (-656 |#1|)) 72)) (-4136 (($ $ |#1|) 69) (($ |#1| $) 68) (($ $ $) 67) (($ (-656 $)) 66)) (-2956 (((-874) $) 18 (|has| |#1| (-625 (-874))))) (-2617 (((-112) $ $) 23 (|has| |#1| (-1118)))) (-3972 (((-112) (-1 (-112) |#1|) $) 34 (|has| $ (-6 -4461)))) (-2991 (((-112) $ $) 20 (|has| |#1| (-1118)))) (-2882 (((-783) $) 6 (|has| $ (-6 -4461))))) 
+((-2862 (((-112) $ $) NIL)) (-2416 (((-783) $) 17)) (-2724 (($ $ |#1|) 69)) (-2745 (($ $) 39)) (-4379 (($ $) 37)) (-2449 (((-3 |#1| "failed") $) 61)) (-4401 ((|#1| $) NIL)) (-3612 (($ |#1| |#2| $) 79) (($ $ $) 81)) (-4316 (((-874) $ (-1 (-874) (-874) (-874)) (-1 (-874) (-874) (-874)) (-576)) 56)) (-2756 ((|#1| $ (-576)) 35)) (-2766 ((|#2| $ (-576)) 34)) (-2679 (($ (-1 |#1| |#1|) $) 41)) (-2692 (($ (-1 |#2| |#2|) $) 47)) (-2734 (($) 11)) (-2786 (($ |#1| |#2|) 24)) (-2776 (($ (-656 (-2 (|:| |gen| |#1|) (|:| -2666 |#2|)))) 25)) (-2800 (((-656 (-2 (|:| |gen| |#1|) (|:| -2666 |#2|))) $) 14)) (-2713 (($ |#1| $) 71)) (-3733 (((-1177) $) NIL)) (-3914 (((-1138) $) NIL)) (-2702 (((-112) $ $) 76)) (-2884 (((-874) $) 21) (($ |#1|) 18)) (-3722 (((-112) $ $) NIL)) (-3915 (((-112) $ $) 27))) 
+(((-661 |#1| |#2| |#3|) (-13 (-1118) (-1056 |#1|) (-10 -8 (-15 -4316 ((-874) $ (-1 (-874) (-874) (-874)) (-1 (-874) (-874) (-874)) (-576))) (-15 -2800 ((-656 (-2 (|:| |gen| |#1|) (|:| -2666 |#2|))) $)) (-15 -2786 ($ |#1| |#2|)) (-15 -2776 ($ (-656 (-2 (|:| |gen| |#1|) (|:| -2666 |#2|))))) (-15 -2766 (|#2| $ (-576))) (-15 -2756 (|#1| $ (-576))) (-15 -4379 ($ $)) (-15 -2745 ($ $)) (-15 -2416 ((-783) $)) (-15 -2734 ($)) (-15 -2724 ($ $ |#1|)) (-15 -2713 ($ |#1| $)) (-15 -3612 ($ |#1| |#2| $)) (-15 -3612 ($ $ $)) (-15 -2702 ((-112) $ $)) (-15 -2692 ($ (-1 |#2| |#2|) $)) (-15 -2679 ($ (-1 |#1| |#1|) $)))) (-1118) (-23) |#2|) (T -661)) 
+((-4316 (*1 *2 *1 *3 *3 *4) (-12 (-5 *3 (-1 (-874) (-874) (-874))) (-5 *4 (-576)) (-5 *2 (-874)) (-5 *1 (-661 *5 *6 *7)) (-4 *5 (-1118)) (-4 *6 (-23)) (-14 *7 *6))) (-2800 (*1 *2 *1) (-12 (-5 *2 (-656 (-2 (|:| |gen| *3) (|:| -2666 *4)))) (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1118)) (-4 *4 (-23)) (-14 *5 *4))) (-2786 (*1 *1 *2 *3) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1118)) (-4 *3 (-23)) (-14 *4 *3))) (-2776 (*1 *1 *2) (-12 (-5 *2 (-656 (-2 (|:| |gen| *3) (|:| -2666 *4)))) (-4 *3 (-1118)) (-4 *4 (-23)) (-14 *5 *4) (-5 *1 (-661 *3 *4 *5)))) (-2766 (*1 *2 *1 *3) (-12 (-5 *3 (-576)) (-4 *2 (-23)) (-5 *1 (-661 *4 *2 *5)) (-4 *4 (-1118)) (-14 *5 *2))) (-2756 (*1 *2 *1 *3) (-12 (-5 *3 (-576)) (-4 *2 (-1118)) (-5 *1 (-661 *2 *4 *5)) (-4 *4 (-23)) (-14 *5 *4))) (-4379 (*1 *1 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1118)) (-4 *3 (-23)) (-14 *4 *3))) (-2745 (*1 *1 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1118)) (-4 *3 (-23)) (-14 *4 *3))) (-2416 (*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1118)) (-4 *4 (-23)) (-14 *5 *4))) (-2734 (*1 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1118)) (-4 *3 (-23)) (-14 *4 *3))) (-2724 (*1 *1 *1 *2) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1118)) (-4 *3 (-23)) (-14 *4 *3))) (-2713 (*1 *1 *2 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1118)) (-4 *3 (-23)) (-14 *4 *3))) (-3612 (*1 *1 *2 *3 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1118)) (-4 *3 (-23)) (-14 *4 *3))) (-3612 (*1 *1 *1 *1) (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1118)) (-4 *3 (-23)) (-14 *4 *3))) (-2702 (*1 *2 *1 *1) (-12 (-5 *2 (-112)) (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1118)) (-4 *4 (-23)) (-14 *5 *4))) (-2692 (*1 *1 *2 *1) (-12 (-5 *2 (-1 *4 *4)) (-4 *4 (-23)) (-14 *5 *4) (-5 *1 (-661 *3 *4 *5)) (-4 *3 (-1118)))) (-2679 (*1 *1 *2 *1) (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1118)) (-5 *1 (-661 *3 *4 *5)) (-4 *4 (-23)) (-14 *5 *4)))) 
+(-13 (-1118) (-1056 |#1|) (-10 -8 (-15 -4316 ((-874) $ (-1 (-874) (-874) (-874)) (-1 (-874) (-874) (-874)) (-576))) (-15 -2800 ((-656 (-2 (|:| |gen| |#1|) (|:| -2666 |#2|))) $)) (-15 -2786 ($ |#1| |#2|)) (-15 -2776 ($ (-656 (-2 (|:| |gen| |#1|) (|:| -2666 |#2|))))) (-15 -2766 (|#2| $ (-576))) (-15 -2756 (|#1| $ (-576))) (-15 -4379 ($ $)) (-15 -2745 ($ $)) (-15 -2416 ((-783) $)) (-15 -2734 ($)) (-15 -2724 ($ $ |#1|)) (-15 -2713 ($ |#1| $)) (-15 -3612 ($ |#1| |#2| $)) (-15 -3612 ($ $ $)) (-15 -2702 ((-112) $ $)) (-15 -2692 ($ (-1 |#2| |#2|) $)) (-15 -2679 ($ (-1 |#1| |#1|) $)))) 
+((-3365 (((-576) $) 31)) (-2134 (($ |#2| $ (-576)) 27) (($ $ $ (-576)) NIL)) (-3385 (((-656 (-576)) $) 12)) (-3394 (((-112) (-576) $) 18)) (-1514 (($ $ |#2|) 24) (($ |#2| $) 25) (($ $ $) NIL) (($ (-656 $)) NIL))) 
+(((-662 |#1| |#2|) (-10 -8 (-15 -2134 (|#1| |#1| |#1| (-576))) (-15 -2134 (|#1| |#2| |#1| (-576))) (-15 -1514 (|#1| (-656 |#1|))) (-15 -1514 (|#1| |#1| |#1|)) (-15 -1514 (|#1| |#2| |#1|)) (-15 -1514 (|#1| |#1| |#2|)) (-15 -3365 ((-576) |#1|)) (-15 -3385 ((-656 (-576)) |#1|)) (-15 -3394 ((-112) (-576) |#1|))) (-663 |#2|) (-1236)) (T -662)) 
+NIL 
+(-10 -8 (-15 -2134 (|#1| |#1| |#1| (-576))) (-15 -2134 (|#1| |#2| |#1| (-576))) (-15 -1514 (|#1| (-656 |#1|))) (-15 -1514 (|#1| |#1| |#1|)) (-15 -1514 (|#1| |#2| |#1|)) (-15 -1514 (|#1| |#1| |#2|)) (-15 -3365 ((-576) |#1|)) (-15 -3385 ((-656 (-576)) |#1|)) (-15 -3394 ((-112) (-576) |#1|))) 
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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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+((-3780 (*1 *2 *1) (-12 (-5 *2 (-656 (-1153))) (-5 *1 (-683))))) 
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-((-2157 (((-1 |#2| |#1|) (-1 |#2| |#1| |#1|)) 16)) (-2909 (((-1 |#2|) (-1 |#2| |#1|) |#1|) 13)) (-1716 (((-1 |#2| |#1|) (-1 |#2|)) 14)) (-2441 (((-1 |#2| |#1|) |#2|) 11))) 
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-((-2887 ((|#5| (-1 |#5| |#1| |#5|) |#4| |#5|) 39)) (-1787 (((-3 |#8| "failed") (-1 (-3 |#5| "failed") |#1|) |#4|) 37) ((|#8| (-1 |#5| |#1|) |#4|) 31))) 
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-((-2887 (*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *5 *2)) (-4 *5 (-1067)) (-4 *2 (-1067)) (-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)))) (-1787 (*1 *2 *3 *4) (|partial| -12 (-5 *3 (-1 (-3 *8 "failed") *5)) (-4 *5 (-1067)) (-4 *8 (-1067)) (-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)))) (-1787 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *8 *5)) (-4 *5 (-1067)) (-4 *8 (-1067)) (-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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 NIL 
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 (((-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 (-874)) . T) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-660 |#1|) . T) ((-652 |#1|) . T) ((-1069 |#1|) . T) ((-1074 |#1|) . T) ((-1118) . T)) 
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-NIL 
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+NIL 
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 (((-738) (-141)) (T -738)) 
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 (((-102) . T) ((-625 (-874)) . T) ((-1130) . T) ((-1118) . 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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 (((-786) (-1118)) (T -786)) 
 NIL 
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 (((-803) (-141)) (T -803)) 
 NIL 
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 (((-806) (-141)) (T -806)) 
 NIL 
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 (((-807) (-141)) (T -807)) 
 NIL 
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 NIL 
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 NIL 
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 NIL 
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 (((-830 |#1|) (-275 |#1|) (-862)) (T -830)) 
 NIL 
 (-275 |#1|) 
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 (((-832) (-141)) (T -832)) 
 NIL 
 (-13 (-568) (-860)) 
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 (((-102) . T) ((-625 (-874)) . T) ((-1118) . T)) 
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 (((-856) (-141)) (T -856)) 
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 (((-102) . T) ((-625 (-874)) . T) ((-379) . T) ((-862) . T) ((-1118) . T)) 
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 (((-858) (-141)) (T -858)) 
 NIL 
 (-13 (-869) (-738)) 
 (((-102) . T) ((-625 (-874)) . T) ((-738) . T) ((-869) . T) ((-862) . T) ((-1130) . T) ((-1118) . T)) 
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 NIL 
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 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-132) . T) ((-628 (-576)) . T) ((-625 (-874)) . T) ((-658 (-576)) . T) ((-658 $) . T) ((-660 $) . T) ((-738) . T) ((-803) . T) ((-804) . T) ((-806) . T) ((-807) . T) ((-862) . T) ((-1067) . T) ((-1076) . T) ((-1130) . T) ((-1118) . T)) 
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 NIL 
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 (((-862) (-141)) (T -862)) 
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 NIL 
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 NIL 
 (-13 (-864 |#2|) (-628 (-1282 |#1|))) 
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 (((-869) (-141)) (T -869)) 
 NIL 
 (-13 (-862) (-1130)) 
 (((-102) . T) ((-625 (-874)) . T) ((-862) . T) ((-1130) . T) ((-1118) . 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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 (((-914 |#1|) (-141) (-1118)) (T -914)) 
 NIL 
 (-13 (-1067) (-916 |t#1|)) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-132) . T) ((-628 (-576)) . T) ((-625 (-874)) . T) ((-658 (-576)) . T) ((-658 $) . T) ((-660 $) . T) ((-738) . T) ((-909 $ |#1|) . T) ((-916 |#1|) . T) ((-1067) . T) ((-1076) . T) ((-1130) . T) ((-1118) . T) ((-1236) . T)) 
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 NIL 
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 (((-909 $ |#1|) . T) ((-1236) . T)) 
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 (((-959 |#1|) (-998 |#1|) (-1067)) (T -959)) 
 NIL 
 (-998 |#1|) 
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+NIL 
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 (((-991 |#1| |#2| |#3|) (-141) (-1067) (-804) (-862)) (T -991)) 
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-((-2457 (((-1112 (-227)) $) 8)) (-2444 (((-1112 (-227)) $) 9)) (-2431 (((-1112 (-227)) $) 10)) (-3388 (((-656 (-656 (-959 (-227)))) $) 11)) (-2956 (((-874) $) 6))) 
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+((-2840 (((-1112 (-227)) $) 8)) (-2827 (((-1112 (-227)) $) 9)) (-2815 (((-1112 (-227)) $) 10)) (-1364 (((-656 (-656 (-959 (-227)))) $) 11)) (-2884 (((-874) $) 6))) 
 (((-992) (-141)) (T -992)) 
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 (((-625 (-874)) . T)) 
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 NIL 
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-((-2223 (*1 *2 *2 *2 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-1065)))) (-3582 (*1 *2 *3) (-12 (-5 *3 |RationalNumber|) (-5 *2 (-1 (-576))) (-5 *1 (-1065)))) (-2173 (*1 *2 *3) (-12 (-5 *3 |RationalNumber|) (-5 *2 (-1 (-576))) (-5 *1 (-1065)))) (-2959 (*1 *2 *3 *4) (-12 (-5 *4 |RationalNumber|) (-5 *2 (-1 (-576))) (-5 *1 (-1065)) (-5 *3 (-576)))) (-1616 (*1 *2 *3) (-12 (-5 *3 (-1112 (-576))) (-5 *2 (-1 (-576))) (-5 *1 (-1065))))) 
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-((-2956 (((-874) $) NIL) (($ (-576)) 10))) 
-(((-1066 |#1|) (-10 -8 (-15 -2956 (|#1| (-576))) (-15 -2956 ((-874) |#1|))) (-1067)) (T -1066)) 
-NIL 
-(-10 -8 (-15 -2956 (|#1| (-576))) (-15 -2956 ((-874) |#1|))) 
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$) NIL (|has| |#1| (-568)))) (-1435 (((-112) $ $) NIL (|has| |#1| (-568)))) (-1457 (((-112) $) NIL (|has| |#1| (-568)))) (-3367 (((-656 (-792 |#1| (-876 |#2|))) (-656 (-792 |#1| (-876 |#2|))) $ (-1 (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|))) (-1 (-112) (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|)))) NIL)) (-1384 (((-656 (-792 |#1| (-876 |#2|))) (-656 (-792 |#1| (-876 |#2|))) $) NIL (|has| |#1| (-568)))) (-1394 (((-656 (-792 |#1| (-876 |#2|))) (-656 (-792 |#1| (-876 |#2|))) $) NIL (|has| |#1| (-568)))) (-2449 (((-3 $ "failed") (-656 (-792 |#1| (-876 |#2|)))) NIL)) (-4401 (($ (-656 (-792 |#1| (-876 |#2|)))) NIL)) (-1976 (((-3 $ "failed") $) NIL)) (-3328 (((-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|)) $) NIL)) (-1919 (($ $) NIL (-12 (|has| $ (-6 -4461)) (|has| (-792 |#1| (-876 |#2|)) (-1118))))) (-3634 (($ (-792 |#1| (-876 |#2|)) $) NIL (-12 (|has| $ (-6 -4461)) (|has| (-792 |#1| (-876 |#2|)) (-1118)))) (($ (-1 (-112) (-792 |#1| (-876 |#2|))) $) NIL (|has| $ (-6 -4461)))) (-1406 (((-2 (|:| |rnum| |#1|) (|:| |polnum| (-792 |#1| (-876 |#2|))) (|:| |den| |#1|)) (-792 |#1| (-876 |#2|)) $) NIL (|has| |#1| (-568)))) (-3414 (((-112) (-792 |#1| (-876 |#2|)) $ (-1 (-112) (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|)))) NIL)) (-3308 (((-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|)) $) NIL)) (-2309 (((-792 |#1| (-876 |#2|)) (-1 (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|))) $ (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|))) NIL (-12 (|has| $ (-6 -4461)) (|has| (-792 |#1| (-876 |#2|)) (-1118)))) (((-792 |#1| (-876 |#2|)) (-1 (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|))) $ (-792 |#1| (-876 |#2|))) NIL (|has| $ (-6 -4461))) (((-792 |#1| (-876 |#2|)) (-1 (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|))) $) NIL (|has| $ (-6 -4461))) (((-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|)) $ (-1 (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|))) (-1 (-112) (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|)))) NIL)) (-3435 (((-2 (|:| -2459 (-656 (-792 |#1| (-876 |#2|)))) (|:| -2980 (-656 (-792 |#1| (-876 |#2|))))) $) NIL)) (-1489 (((-112) (-792 |#1| (-876 |#2|)) $) NIL)) (-1463 (((-112) (-792 |#1| (-876 |#2|)) $) NIL)) (-1498 (((-112) (-792 |#1| (-876 |#2|)) $) NIL) (((-112) $) NIL)) (-4001 (((-656 (-792 |#1| (-876 |#2|))) $) NIL (|has| $ (-6 -4461)))) (-3425 (((-112) (-792 |#1| (-876 |#2|)) $) NIL) (((-112) $) NIL)) (-1323 (((-876 |#2|) $) NIL)) (-2408 (((-112) $ (-783)) NIL)) (-1496 (((-656 (-792 |#1| (-876 |#2|))) $) NIL (|has| $ (-6 -4461)))) (-3743 (((-112) (-792 |#1| (-876 |#2|)) $) NIL (-12 (|has| $ (-6 -4461)) (|has| (-792 |#1| (-876 |#2|)) (-1118))))) (-2848 (($ (-1 (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|))) $) NIL (|has| $ (-6 -4462)))) (-2551 (($ (-1 (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|))) $) NIL)) (-1524 (((-656 (-876 |#2|)) $) NIL)) (-1513 (((-112) (-876 |#2|) $) NIL)) (-2374 (((-112) $ (-783)) NIL)) (-3733 (((-1177) $) NIL)) (-1421 (((-3 (-792 |#1| (-876 |#2|)) (-656 $)) (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|)) $) NIL)) (-1411 (((-656 (-2 (|:| |val| (-792 |#1| (-876 |#2|))) (|:| -4271 $))) (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|)) $) NIL)) (-3654 (((-3 (-792 |#1| (-876 |#2|)) "failed") $) NIL)) (-1431 (((-656 $) (-792 |#1| (-876 |#2|)) $) NIL)) (-1451 (((-3 (-112) (-656 $)) (-792 |#1| (-876 |#2|)) $) NIL)) (-1440 (((-656 (-2 (|:| |val| (-112)) (|:| -4271 $))) (-792 |#1| (-876 |#2|)) $) NIL) (((-112) (-792 |#1| (-876 |#2|)) $) NIL)) (-3703 (((-656 $) (-792 |#1| (-876 |#2|)) $) NIL) (((-656 $) (-656 (-792 |#1| (-876 |#2|))) $) NIL) (((-656 $) (-656 (-792 |#1| (-876 |#2|))) (-656 $)) NIL) (((-656 $) (-792 |#1| (-876 |#2|)) (-656 $)) NIL)) (-1800 (($ (-792 |#1| (-876 |#2|)) $) NIL) (($ (-656 (-792 |#1| (-876 |#2|))) $) NIL)) (-3443 (((-656 (-792 |#1| (-876 |#2|))) $) NIL)) (-3387 (((-112) (-792 |#1| (-876 |#2|)) $) NIL) (((-112) $) NIL)) (-3338 (((-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|)) $) NIL)) (-3461 (((-112) $ $) NIL)) (-1415 (((-2 (|:| |num| (-792 |#1| (-876 |#2|))) (|:| |den| |#1|)) (-792 |#1| (-876 |#2|)) $) NIL (|has| |#1| (-568)))) (-3396 (((-112) (-792 |#1| (-876 |#2|)) $) NIL) (((-112) $) NIL)) (-3348 (((-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|)) $) NIL)) (-3914 (((-1138) $) NIL)) (-1962 (((-3 (-792 |#1| (-876 |#2|)) "failed") $) NIL)) (-1932 (((-3 (-792 |#1| (-876 |#2|)) "failed") (-1 (-112) (-792 |#1| (-876 |#2|))) $) NIL)) (-3266 (((-3 $ "failed") $ (-792 |#1| (-876 |#2|))) NIL)) (-2904 (($ $ (-792 |#1| (-876 |#2|))) NIL) (((-656 $) (-792 |#1| (-876 |#2|)) $) NIL) (((-656 $) (-792 |#1| (-876 |#2|)) (-656 $)) NIL) (((-656 $) (-656 (-792 |#1| (-876 |#2|))) $) NIL) (((-656 $) (-656 (-792 |#1| (-876 |#2|))) (-656 $)) NIL)) (-2476 (((-112) (-1 (-112) (-792 |#1| (-876 |#2|))) $) NIL (|has| $ (-6 -4461)))) (-3049 (($ $ (-656 (-792 |#1| (-876 |#2|))) (-656 (-792 |#1| (-876 |#2|)))) NIL (-12 (|has| (-792 |#1| (-876 |#2|)) (-319 (-792 |#1| (-876 |#2|)))) (|has| (-792 |#1| (-876 |#2|)) (-1118)))) (($ $ (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|))) NIL (-12 (|has| (-792 |#1| (-876 |#2|)) (-319 (-792 |#1| (-876 |#2|)))) (|has| (-792 |#1| (-876 |#2|)) (-1118)))) (($ $ (-304 (-792 |#1| (-876 |#2|)))) NIL (-12 (|has| (-792 |#1| (-876 |#2|)) (-319 (-792 |#1| (-876 |#2|)))) (|has| (-792 |#1| (-876 |#2|)) (-1118)))) (($ $ (-656 (-304 (-792 |#1| (-876 |#2|))))) NIL (-12 (|has| (-792 |#1| (-876 |#2|)) (-319 (-792 |#1| (-876 |#2|)))) (|has| (-792 |#1| (-876 |#2|)) (-1118))))) (-2983 (((-112) $ $) NIL)) (-2809 (((-112) $) NIL)) (-1458 (($) NIL)) (-3813 (((-783) $) NIL)) (-3926 (((-783) (-792 |#1| (-876 |#2|)) $) NIL (-12 (|has| $ (-6 -4461)) (|has| (-792 |#1| (-876 |#2|)) (-1118)))) (((-783) (-1 (-112) (-792 |#1| (-876 |#2|))) $) NIL (|has| $ (-6 -4461)))) (-3079 (($ $) NIL)) (-2616 (((-548) $) NIL (|has| (-792 |#1| (-876 |#2|)) (-626 (-548))))) (-2895 (($ (-656 (-792 |#1| (-876 |#2|)))) NIL)) (-1483 (($ $ (-876 |#2|)) NIL)) (-1504 (($ $ (-876 |#2|)) NIL)) (-3318 (($ $) NIL)) (-1493 (($ $ (-876 |#2|)) NIL)) (-2884 (((-874) $) NIL) (((-656 (-792 |#1| (-876 |#2|))) $) NIL)) (-3255 (((-783) $) NIL (|has| (-876 |#2|) (-379)))) (-3722 (((-112) $ $) NIL)) (-3453 (((-3 (-2 (|:| |bas| $) (|:| -2012 (-656 (-792 |#1| (-876 |#2|))))) "failed") (-656 (-792 |#1| (-876 |#2|))) (-1 (-112) (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|)))) NIL) (((-3 (-2 (|:| |bas| $) (|:| -2012 (-656 (-792 |#1| (-876 |#2|))))) "failed") (-656 (-792 |#1| (-876 |#2|))) (-1 (-112) (-792 |#1| (-876 |#2|))) (-1 (-112) (-792 |#1| (-876 |#2|)) (-792 |#1| (-876 |#2|)))) NIL)) (-3377 (((-112) $ (-1 (-112) (-792 |#1| (-876 |#2|)) (-656 (-792 |#1| (-876 |#2|))))) NIL)) (-1400 (((-656 $) (-792 |#1| (-876 |#2|)) $) NIL) (((-656 $) (-792 |#1| (-876 |#2|)) (-656 $)) NIL) (((-656 $) (-656 (-792 |#1| (-876 |#2|))) $) NIL) (((-656 $) (-656 (-792 |#1| (-876 |#2|))) (-656 $)) NIL)) (-2492 (((-112) (-1 (-112) (-792 |#1| (-876 |#2|))) $) NIL (|has| $ (-6 -4461)))) (-3278 (((-656 (-876 |#2|)) $) NIL)) (-1479 (((-112) (-792 |#1| (-876 |#2|)) $) NIL)) (-3704 (((-112) (-876 |#2|) $) NIL)) (-3915 (((-112) $ $) NIL)) (-2872 (((-783) $) NIL (|has| $ (-6 -4461))))) 
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+((-3299 (*1 *2 *3 *4 *4) (-12 (-5 *3 (-656 (-792 *5 (-876 *6)))) (-5 *4 (-112)) (-4 *5 (-464)) (-14 *6 (-656 (-1195))) (-5 *2 (-656 (-1064 *5 *6))) (-5 *1 (-1064 *5 *6))))) 
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+(((-1066 |#1|) (-10 -8 (-15 -2884 (|#1| (-576))) (-15 -2884 ((-874) |#1|))) (-1067)) (T -1066)) 
+NIL 
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 (((-1067) (-141)) (T -1067)) 
-((-3423 (*1 *2) (-12 (-4 *1 (-1067)) (-5 *2 (-783))))) 
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+(-13 (-1076) (-738) (-660 $) (-628 (-576)) (-10 -7 (-15 -1871 ((-783)) -3739) (-6 -4458))) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-132) . T) ((-628 (-576)) . T) ((-625 (-874)) . T) ((-658 (-576)) . T) ((-658 $) . T) ((-660 $) . T) ((-738) . T) ((-1076) . T) ((-1130) . T) ((-1118) . T)) 
-((-1776 (((-419 (-968 |#2|)) (-656 |#2|) (-656 |#2|) (-783) (-783)) 54))) 
-(((-1068 |#1| |#2|) (-10 -7 (-15 -1776 ((-419 (-968 |#2|)) (-656 |#2|) (-656 |#2|) (-783) (-783)))) (-1195) (-374)) (T -1068)) 
-((-1776 (*1 *2 *3 *3 *4 *4) (-12 (-5 *3 (-656 *6)) (-5 *4 (-783)) (-4 *6 (-374)) (-5 *2 (-419 (-968 *6))) (-5 *1 (-1068 *5 *6)) (-14 *5 (-1195))))) 
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+((-1703 (((-419 (-968 |#2|)) (-656 |#2|) (-656 |#2|) (-783) (-783)) 54))) 
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+((-1703 (*1 *2 *3 *3 *4 *4) (-12 (-5 *3 (-656 *6)) (-5 *4 (-783)) (-4 *6 (-374)) (-5 *2 (-419 (-968 *6))) (-5 *1 (-1068 *5 *6)) (-14 *5 (-1195))))) 
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 (((-1069 |#1|) (-141) (-1130)) (T -1069)) 
-((-2143 (*1 *1) (-12 (-4 *1 (-1069 *2)) (-4 *2 (-1130)))) (-3549 (*1 *2 *1) (-12 (-4 *1 (-1069 *3)) (-4 *3 (-1130)) (-5 *2 (-112)))) (* (*1 *1 *1 *2) (-12 (-4 *1 (-1069 *2)) (-4 *2 (-1130))))) 
-(-13 (-1118) (-10 -8 (-15 (-2143) ($) -1716) (-15 -3549 ((-112) $)) (-15 * ($ $ |t#1|)))) 
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+(-13 (-1118) (-10 -8 (-15 (-1996) ($) -3739) (-15 -1389 ((-112) $)) (-15 * ($ $ |t#1|)))) 
 (((-102) . T) ((-625 (-874)) . T) ((-1118) . T)) 
-((-2052 (((-112) $) 38)) (-3562 (((-112) $) 17)) (-2199 (((-783) $) 13)) (-2208 (((-783) $) 14)) (-1415 (((-112) $) 30)) (-1335 (((-112) $) 40))) 
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+((-1825 (((-112) $) 38)) (-1847 (((-112) $) 17)) (-4244 (((-783) $) 13)) (-4256 (((-783) $) 14)) (-1835 (((-112) $) 30)) (-1815 (((-112) $) 40))) 
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 NIL 
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 (((-1074 |#1|) (-141) (-1076)) (T -1074)) 
 NIL 
 (-13 (-21) (-1069 |t#1|)) 
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 (((-1076) (-141)) (T -1076)) 
 NIL 
 (-13 (-21) (-1130)) 
 (((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-132) . T) ((-625 (-874)) . T) ((-658 (-576)) . T) ((-1130) . T) ((-1118) . T)) 
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 NIL 
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 (((-1106 |#1|) (-275 |#1|) (-862)) (T -1106)) 
 NIL 
 (-275 |#1|) 
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 NIL 
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-NIL 
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 (((-1120 |#1|) (-437 |#1|) (-1118)) (T -1120)) 
 NIL 
 (-437 |#1|) 
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 (((-1121 |#1| |#2| |#3| |#4| |#5|) (-141) (-1118) (-1118) (-1118) (-1118) (-1118)) (T -1121)) 
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 (((-102) . T) ((-625 (-874)) . T) ((-630 (-656 $)) . T) ((-630 |#1|) . T) ((-630 |#2|) . T) ((-630 |#3|) . T) ((-630 |#4|) . T) ((-630 |#5|) . T) ((-296 (-576) $) . T) ((-296 (-656 (-576)) $) . T) ((-1118) . T) ((-1236) . T)) 
-((-2869 (((-112) $ $) NIL)) (-3018 (((-112) $) NIL)) (-3984 (((-1195) $) NIL)) (-4281 (((-112) $) NIL)) (-3237 (((-1177) $) NIL)) (-2768 (((-112) $) NIL)) (-2720 (((-112) $) NIL)) (-3899 (((-112) $) NIL)) (-2148 (((-1177) $) NIL)) (-2265 (((-112) $) NIL)) (-4005 (((-576) $) NIL)) (-3945 (((-1138) $) NIL)) (-2303 (((-112) $) NIL)) (-2404 (((-227) $) NIL)) (-1458 (((-874) $) NIL)) (-4102 (((-112) $ $) NIL)) (-2209 (($ $ (-576)) NIL) (($ $ (-656 (-576))) NIL)) (-4284 (((-656 $) $) NIL)) (-1846 (($ (-1177)) NIL) (($ (-1195)) NIL) (($ (-576)) NIL) (($ (-227)) NIL) (($ (-874)) NIL) (($ (-656 $)) NIL)) (-2956 (((-874) $) NIL)) (-4037 (($ $) NIL)) (-1435 (($ $) NIL)) (-2617 (((-112) $ $) NIL)) (-1744 (((-112) $) NIL)) (-2991 (((-112) $ $) NIL)) (-2882 (((-576) $) NIL))) 
+((-2862 (((-112) $ $) NIL)) (-3857 (((-112) $) NIL)) (-3819 (((-1195) $) NIL)) (-3868 (((-112) $) NIL)) (-1651 (((-1177) $) NIL)) (-3891 (((-112) $) NIL)) (-3916 (((-112) $) NIL)) (-3879 (((-112) $) NIL)) (-3733 (((-1177) $) NIL)) (-3846 (((-112) $) NIL)) (-3842 (((-576) $) NIL)) (-3914 (((-1138) $) NIL)) (-3834 (((-112) $) NIL)) (-1540 (((-227) $) NIL)) (-1401 (((-874) $) NIL)) (-2572 (((-112) $ $) NIL)) (-2071 (($ $ (-576)) NIL) (($ $ (-656 (-576))) NIL)) (-3844 (((-656 $) $) NIL)) (-2616 (($ (-1177)) NIL) (($ (-1195)) NIL) (($ (-576)) NIL) (($ (-227)) NIL) (($ (-874)) NIL) (($ (-656 $)) NIL)) (-2884 (((-874) $) NIL)) (-3812 (($ $) NIL)) (-3823 (($ $) NIL)) (-3722 (((-112) $ $) NIL)) (-3902 (((-112) $) NIL)) (-3915 (((-112) $ $) NIL)) (-2872 (((-576) $) NIL))) 
 (((-1122) (-1121 (-1177) (-1195) (-576) (-227) (-874))) (T -1122)) 
 NIL 
 (-1121 (-1177) (-1195) (-576) (-227) (-874)) 
-((-2869 (((-112) $ $) NIL)) (-3018 (((-112) $) 45)) (-3984 ((|#2| $) 48)) (-4281 (((-112) $) 20)) (-3237 ((|#1| $) 21)) (-2768 (((-112) $) 42)) (-2720 (((-112) $) 14)) (-3899 (((-112) $) 44)) (-2148 (((-1177) $) NIL)) (-2265 (((-112) $) 46)) (-4005 ((|#3| $) 50)) (-3945 (((-1138) $) NIL)) (-2303 (((-112) $) 47)) (-2404 ((|#4| $) 49)) (-1458 ((|#5| $) 51)) (-4102 (((-112) $ $) 41)) (-2209 (($ $ (-576)) 62) (($ $ (-656 (-576))) 64)) (-4284 (((-656 $) $) 27)) (-1846 (($ |#1|) 53) (($ |#2|) 54) (($ |#3|) 55) (($ |#4|) 56) (($ |#5|) 57) (($ (-656 $)) 52)) (-2956 (((-874) $) 28)) (-4037 (($ $) 26)) (-1435 (($ $) 58)) (-2617 (((-112) $ $) NIL)) (-1744 (((-112) $) 23)) (-2991 (((-112) $ $) 40)) (-2882 (((-576) $) 60))) 
+((-2862 (((-112) $ $) NIL)) (-3857 (((-112) $) 45)) (-3819 ((|#2| $) 48)) (-3868 (((-112) $) 20)) (-1651 ((|#1| $) 21)) (-3891 (((-112) $) 42)) (-3916 (((-112) $) 14)) (-3879 (((-112) $) 44)) (-3733 (((-1177) $) NIL)) (-3846 (((-112) $) 46)) (-3842 ((|#3| $) 50)) (-3914 (((-1138) $) NIL)) (-3834 (((-112) $) 47)) (-1540 ((|#4| $) 49)) (-1401 ((|#5| $) 51)) (-2572 (((-112) $ $) 41)) (-2071 (($ $ (-576)) 62) (($ $ (-656 (-576))) 64)) (-3844 (((-656 $) $) 27)) (-2616 (($ |#1|) 53) (($ |#2|) 54) (($ |#3|) 55) (($ |#4|) 56) (($ |#5|) 57) (($ (-656 $)) 52)) (-2884 (((-874) $) 28)) (-3812 (($ $) 26)) (-3823 (($ $) 58)) (-3722 (((-112) $ $) NIL)) (-3902 (((-112) $) 23)) (-3915 (((-112) $ $) 40)) (-2872 (((-576) $) 60))) 
 (((-1123 |#1| |#2| |#3| |#4| |#5|) (-1121 |#1| |#2| |#3| |#4| |#5|) (-1118) (-1118) (-1118) (-1118) (-1118)) (T -1123)) 
 NIL 
 (-1121 |#1| |#2| |#3| |#4| |#5|) 
-((-3747 (((-1291) $) 22)) (-3720 (($ (-1195) (-446) |#2|) 11)) (-2956 (((-874) $) 16))) 
-(((-1124 |#1| |#2|) (-13 (-407) (-10 -8 (-15 -3720 ($ (-1195) (-446) |#2|)))) (-1118) (-442 |#1|)) (T -1124)) 
-((-3720 (*1 *1 *2 *3 *4) (-12 (-5 *2 (-1195)) (-5 *3 (-446)) (-4 *5 (-1118)) (-5 *1 (-1124 *5 *4)) (-4 *4 (-442 *5))))) 
-(-13 (-407) (-10 -8 (-15 -3720 ($ (-1195) (-446) |#2|)))) 
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-NIL 
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 NIL 
 (-13 (-1127 |t#1| |t#2| |t#3| |t#4|) (-796 |t#1| |t#2| |t#3| |t#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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 NIL 
 (-1101) 
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 NIL 
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T) ((-628 $) -2838 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-625 (-874)) . T) ((-174) -2838 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-626 (-227)) -12 (|has| |#1| (-374)) (|has| |#2| (-1040))) ((-626 (-390)) -12 (|has| |#1| (-374)) (|has| |#2| (-1040))) ((-626 (-548)) -12 (|has| |#1| (-374)) (|has| |#2| (-626 (-548)))) ((-626 (-905 (-390))) -12 (|has| |#1| (-374)) (|has| |#2| (-626 (-905 (-390))))) ((-626 (-905 (-576))) -12 (|has| |#1| (-374)) (|has| |#2| (-626 (-905 (-576))))) ((-235 $) -2838 (-12 (|has| |#1| (-374)) (|has| |#2| (-239))) (|has| |#1| (-15 * (|#1| (-576) |#1|)))) ((-233 |#2|) |has| |#1| (-374)) ((-239) -2838 (-12 (|has| |#1| (-374)) (|has| |#2| (-239))) (|has| |#1| (-15 * (|#1| (-576) |#1|)))) ((-238) -2838 (-12 (|has| |#1| (-374)) (|has| |#2| (-239))) (|has| |#1| (-15 * (|#1| (-576) |#1|)))) ((-249) |has| |#1| (-374)) ((-294) |has| |#1| (-38 (-419 (-576)))) ((-296 #0# |#1|) . 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T) ((-660 |#2|) |has| |#1| (-374)) ((-660 $) . T) ((-652 #1#) -2838 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-652 |#1|) |has| |#1| (-174)) ((-652 |#2|) |has| |#1| (-374)) ((-652 $) -2838 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-651 #3#) -12 (|has| |#1| (-374)) (|has| |#2| (-651 (-576)))) ((-651 |#2|) |has| |#1| (-374)) ((-729 #1#) -2838 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-729 |#1|) |has| |#1| (-174)) ((-729 |#2|) |has| |#1| (-374)) ((-729 $) -2838 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-738) . 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T) ((-660 |#2|) |has| |#1| (-374)) ((-660 $) . T) ((-652 #1#) -3766 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-652 |#1|) |has| |#1| (-174)) ((-652 |#2|) |has| |#1| (-374)) ((-652 $) -3766 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-651 #3#) -12 (|has| |#1| (-374)) (|has| |#2| (-651 (-576)))) ((-651 |#2|) |has| |#1| (-374)) ((-729 #1#) -3766 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-729 |#1|) |has| |#1| (-174)) ((-729 |#2|) |has| |#1| (-374)) ((-729 $) -3766 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-738) . 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T) ((-1240) |has| |#1| (-374)) ((-1246 |#1|) . T) ((-1264 |#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 $) -2838 (|has| |#1| (-925)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-102) . T) ((-111 #1# #1#) |has| |#1| (-38 (-419 (-576)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2838 (|has| |#1| (-925)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 #1#) -2838 (|has| |#1| (-1056 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576))))) ((-628 (-576)) . T) ((-628 #2=(-1100)) . T) ((-628 |#1|) . T) ((-628 $) -2838 (|has| |#1| (-925)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-625 (-874)) . T) ((-174) -2838 (|has| |#1| (-925)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-626 (-548)) -12 (|has| (-1100) (-626 (-548))) (|has| |#1| (-626 (-548)))) ((-626 (-905 (-390))) -12 (|has| (-1100) (-626 (-905 (-390)))) (|has| |#1| (-626 (-905 (-390))))) ((-626 (-905 (-576))) -12 (|has| (-1100) (-626 (-905 (-576)))) (|has| |#1| (-626 (-905 (-576))))) ((-235 $) . T) ((-233 |#1|) . T) ((-239) . T) ((-238) . T) ((-296 (-419 $) (-419 $)) |has| |#1| (-568)) ((-296 |#1| |#1|) . T) ((-296 $ $) . T) ((-300) -2838 (|has| |#1| (-925)) (|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) -2838 (|has| |#1| (-925)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-526 #2# |#1|) . T) ((-526 #2# $) . T) ((-526 $ $) . T) ((-568) -2838 (|has| |#1| (-925)) (|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 $) -2838 (|has| |#1| (-925)) (|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 $) -2838 (|has| |#1| (-925)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-738) . T) ((-909 $ #2#) . T) ((-909 $ #4=(-1195)) |has| |#1| (-914 (-1195))) ((-914 #2#) . T) ((-914 #4#) |has| |#1| (-914 (-1195))) ((-916 #2#) . T) ((-916 #4#) |has| |#1| (-914 (-1195))) ((-899 (-390)) -12 (|has| (-1100) (-899 (-390))) (|has| |#1| (-899 (-390)))) ((-899 (-576)) -12 (|has| (-1100) (-899 (-576))) (|has| |#1| (-899 (-576)))) ((-965 |#1| #0# #2#) . T) ((-925) |has| |#1| (-925)) ((-936) |has| |#1| (-374)) ((-1056 (-419 (-576))) |has| |#1| (-1056 (-419 (-576)))) ((-1056 (-576)) |has| |#1| (-1056 (-576))) ((-1056 #2#) . T) ((-1056 |#1|) . T) ((-1069 #1#) |has| |#1| (-38 (-419 (-576)))) ((-1069 |#1|) . T) ((-1069 $) -2838 (|has| |#1| (-925)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1074 #1#) |has| |#1| (-38 (-419 (-576)))) ((-1074 |#1|) . T) ((-1074 $) -2838 (|has| |#1| (-925)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1067) . T) ((-1076) . T) ((-1130) . T) ((-1118) . T) ((-1170) |has| |#1| (-1170)) ((-1236) . T) ((-1240) |has| |#1| (-925))) 
-((-4352 (((-656 (-1100)) $) 34)) (-1404 (($ $) 31)) (-4330 (($ |#2| |#3|) NIL) (($ $ (-1100) |#3|) 28) (($ $ (-656 (-1100)) (-656 |#3|)) 27)) (-1368 (($ $) 14)) (-1380 ((|#2| $) 12)) (-2782 ((|#3| $) 10))) 
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-NIL 
-(-10 -8 (-15 -4352 ((-656 (-1100)) |#1|)) (-15 -4330 (|#1| |#1| (-656 (-1100)) (-656 |#3|))) (-15 -4330 (|#1| |#1| (-1100) |#3|)) (-15 -1404 (|#1| |#1|)) (-15 -4330 (|#1| |#2| |#3|)) (-15 -2782 (|#3| |#1|)) (-15 -1368 (|#1| |#1|)) (-15 -1380 (|#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 $) -3766 (|has| |#1| (-925)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-102) . T) ((-111 #1# #1#) |has| |#1| (-38 (-419 (-576)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -3766 (|has| |#1| (-925)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 #1#) -3766 (|has| |#1| (-1056 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576))))) ((-628 (-576)) . T) ((-628 #2=(-1100)) . T) ((-628 |#1|) . T) ((-628 $) -3766 (|has| |#1| (-925)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-625 (-874)) . T) ((-174) -3766 (|has| |#1| (-925)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-626 (-548)) -12 (|has| (-1100) (-626 (-548))) (|has| |#1| (-626 (-548)))) ((-626 (-905 (-390))) -12 (|has| (-1100) (-626 (-905 (-390)))) (|has| |#1| (-626 (-905 (-390))))) ((-626 (-905 (-576))) -12 (|has| (-1100) (-626 (-905 (-576)))) (|has| |#1| (-626 (-905 (-576))))) ((-235 $) . T) ((-233 |#1|) . T) ((-239) . T) ((-238) . T) ((-296 (-419 $) (-419 $)) |has| |#1| (-568)) ((-296 |#1| |#1|) . T) ((-296 $ $) . T) ((-300) -3766 (|has| |#1| (-925)) (|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) -3766 (|has| |#1| (-925)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-526 #2# |#1|) . T) ((-526 #2# $) . T) ((-526 $ $) . T) ((-568) -3766 (|has| |#1| (-925)) (|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 $) -3766 (|has| |#1| (-925)) (|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 $) -3766 (|has| |#1| (-925)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-738) . T) ((-909 $ #2#) . T) ((-909 $ #4=(-1195)) |has| |#1| (-914 (-1195))) ((-914 #2#) . T) ((-914 #4#) |has| |#1| (-914 (-1195))) ((-916 #2#) . T) ((-916 #4#) |has| |#1| (-914 (-1195))) ((-899 (-390)) -12 (|has| (-1100) (-899 (-390))) (|has| |#1| (-899 (-390)))) ((-899 (-576)) -12 (|has| (-1100) (-899 (-576))) (|has| |#1| (-899 (-576)))) ((-965 |#1| #0# #2#) . T) ((-925) |has| |#1| (-925)) ((-936) |has| |#1| (-374)) ((-1056 (-419 (-576))) |has| |#1| (-1056 (-419 (-576)))) ((-1056 (-576)) |has| |#1| (-1056 (-576))) ((-1056 #2#) . T) ((-1056 |#1|) . T) ((-1069 #1#) |has| |#1| (-38 (-419 (-576)))) ((-1069 |#1|) . T) ((-1069 $) -3766 (|has| |#1| (-925)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1074 #1#) |has| |#1| (-38 (-419 (-576)))) ((-1074 |#1|) . T) ((-1074 $) -3766 (|has| |#1| (-925)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1067) . T) ((-1076) . T) ((-1130) . T) ((-1118) . T) ((-1170) |has| |#1| (-1170)) ((-1236) . T) ((-1240) |has| |#1| (-925))) 
+((-1607 (((-656 (-1100)) $) 34)) (-4407 (($ $) 31)) (-2421 (($ |#2| |#3|) NIL) (($ $ (-1100) |#3|) 28) (($ $ (-656 (-1100)) (-656 |#3|)) 27)) (-4371 (($ $) 14)) (-4383 ((|#2| $) 12)) (-3813 ((|#3| $) 10))) 
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+NIL 
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 (((-1264 |#1| |#2|) (-141) (-1067) (-804)) (T -1264)) 
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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 $ $) -2838 (|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 (-874)) . T) ((-174) -2838 (|has| |#1| (-568)) (|has| |#1| (-174))) ((-235 $) |has| |#1| (-15 * (|#1| |#2| |#1|))) ((-239) |has| |#1| (-15 * (|#1| |#2| |#1|))) ((-238) |has| |#1| (-15 * (|#1| |#2| |#1|))) ((-296 |#2| |#1|) . T) ((-296 $ $) |has| |#2| (-1130)) ((-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) ((-909 $ #1=(-1195)) -12 (|has| |#1| (-15 * (|#1| |#2| |#1|))) (|has| |#1| (-914 (-1195)))) ((-914 #1#) -12 (|has| |#1| (-15 * (|#1| |#2| |#1|))) (|has| |#1| (-914 (-1195)))) ((-916 #1#) -12 (|has| |#1| (-15 * (|#1| |#2| |#1|))) (|has| |#1| (-914 (-1195)))) ((-991 |#1| |#2| (-1100)) . T) ((-1069 #0#) |has| |#1| (-38 (-419 (-576)))) ((-1069 |#1|) . T) ((-1069 $) -2838 (|has| |#1| (-568)) (|has| |#1| (-174))) ((-1074 #0#) |has| |#1| (-38 (-419 (-576)))) ((-1074 |#1|) . T) ((-1074 $) -2838 (|has| |#1| (-568)) (|has| |#1| (-174))) ((-1067) . T) ((-1076) . T) ((-1130) . T) ((-1118) . T) ((-1236) . T)) 
-((-2879 ((|#2| |#2|) 12)) (-1870 (((-430 |#2|) |#2|) 14)) (-1551 (((-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#2|) (|:| |xpnt| (-576))) (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#2|) (|:| |xpnt| (-576)))) 30))) 
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-((-1551 (*1 *2 *2) (-12 (-5 *2 (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| *4) (|:| |xpnt| (-576)))) (-4 *4 (-13 (-1262 *3) (-568) (-10 -8 (-15 -2892 ($ $ $))))) (-4 *3 (-568)) (-5 *1 (-1265 *3 *4)))) (-2879 (*1 *2 *2) (-12 (-4 *3 (-568)) (-5 *1 (-1265 *3 *2)) (-4 *2 (-13 (-1262 *3) (-568) (-10 -8 (-15 -2892 ($ $ $))))))) (-1870 (*1 *2 *3) (-12 (-4 *4 (-568)) (-5 *2 (-430 *3)) (-5 *1 (-1265 *4 *3)) (-4 *3 (-13 (-1262 *4) (-568) (-10 -8 (-15 -2892 ($ $ $)))))))) 
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 NIL 
 (((-1281) (-141)) (T -1281)) 
 NIL 
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 NIL 
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 (((-1300 |#1|) (-141) (-1067)) (T -1300)) 
 NIL 
 (-13 (-1067) (-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 (-874)) . 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) ((-1069 |#1|) . T) ((-1074 |#1|) . T) ((-1067) . T) ((-1076) . T) ((-1130) . T) ((-1118) . T)) 
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 (((-1301 |#1| |#2|) (-13 (-393 |#2| (-831 |#1|)) (-1307 |#1| |#2|)) (-862) (-1067)) (T -1301)) 
 NIL 
 (-13 (-393 |#2| (-831 |#1|)) (-1307 |#1| |#2|)) 
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 (((-1315 |#1|) (-13 (-174) (-379) (-626 (-576)) (-1170)) (-937)) (T -1315)) 
 NIL 
 (-13 (-174) (-379) (-626 (-576)) (-1170)) 
@@ -5430,4 +5430,4 @@ NIL
 NIL 
 NIL 
 NIL 
-((-3 3242088 3242093 3242098 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-2 3242073 3242078 3242083 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1 3242058 3242063 3242068 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (0 3242043 3242048 3242053 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1315 3241186 3241918 3241995 "ZMOD" 3242000 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1314 3240240 3240404 3240627 "ZLINDEP" 3241018 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1313 3229540 3231308 3233280 "ZDSOLVE" 3238370 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1312 3228786 3228927 3229116 "YSTREAM" 3229386 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1311 3228214 3228460 3228573 "YDIAGRAM" 3228695 T YDIAGRAM (NIL) -8 NIL NIL NIL) (-1310 3225988 3227515 3227719 "XRPOLY" 3228057 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1309 3222541 3223859 3224434 "XPR" 3225460 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1308 3220262 3221872 3222076 "XPOLY" 3222372 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1307 3217915 3219283 3219338 "XPOLYC" 3219626 NIL XPOLYC (NIL T T) -9 NIL 3219739 NIL) (-1306 3214291 3216432 3216820 "XPBWPOLY" 3217573 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1305 3209986 3212281 3212323 "XF" 3212944 NIL XF (NIL T) -9 NIL 3213344 NIL) (-1304 3209607 3209695 3209864 "XF-" 3209869 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1303 3204803 3206092 3206147 "XFALG" 3208319 NIL XFALG (NIL T T) -9 NIL 3209108 NIL) (-1302 3203936 3204040 3204245 "XEXPPKG" 3204695 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1301 3202045 3203786 3203882 "XDPOLY" 3203887 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1300 3200852 3201452 3201495 "XALG" 3201500 NIL XALG (NIL T) -9 NIL 3201611 NIL) (-1299 3194294 3198829 3199323 "WUTSET" 3200444 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1298 3192550 3193346 3193669 "WP" 3194105 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1297 3192152 3192372 3192442 "WHILEAST" 3192502 T WHILEAST (NIL) -8 NIL NIL NIL) (-1296 3191624 3191869 3191963 "WHEREAST" 3192080 T WHEREAST (NIL) -8 NIL NIL NIL) (-1295 3190510 3190708 3191003 "WFFINTBS" 3191421 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1294 3188414 3188841 3189303 "WEIER" 3190082 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1293 3187460 3187910 3187952 "VSPACE" 3188088 NIL VSPACE (NIL T) -9 NIL 3188162 NIL) (-1292 3187298 3187325 3187416 "VSPACE-" 3187421 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1291 3187107 3187149 3187217 "VOID" 3187252 T VOID (NIL) -8 NIL NIL NIL) (-1290 3185243 3185602 3186008 "VIEW" 3186723 T VIEW (NIL) -7 NIL NIL NIL) (-1289 3181667 3182306 3183043 "VIEWDEF" 3184528 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1288 3170971 3173215 3175388 "VIEW3D" 3179516 T VIEW3D (NIL) -8 NIL NIL NIL) (-1287 3163222 3164882 3166461 "VIEW2D" 3169414 T VIEW2D (NIL) -8 NIL NIL NIL) (-1286 3158575 3162992 3163084 "VECTOR" 3163165 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1285 3157152 3157411 3157729 "VECTOR2" 3158305 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1284 3150594 3154903 3154946 "VECTCAT" 3155941 NIL VECTCAT (NIL T) -9 NIL 3156528 NIL) (-1283 3149608 3149862 3150252 "VECTCAT-" 3150257 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1282 3149062 3149259 3149379 "VARIABLE" 3149523 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1281 3148995 3149000 3149030 "UTYPE" 3149035 T UTYPE (NIL) -9 NIL NIL NIL) (-1280 3147825 3147979 3148241 "UTSODETL" 3148821 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1279 3145265 3145725 3146249 "UTSODE" 3147366 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1278 3137103 3142891 3143380 "UTS" 3144834 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1277 3127667 3133037 3133080 "UTSCAT" 3134192 NIL UTSCAT (NIL T) -9 NIL 3134950 NIL) (-1276 3125015 3125737 3126726 "UTSCAT-" 3126731 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1275 3124642 3124685 3124818 "UTS2" 3124966 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1274 3118868 3121480 3121523 "URAGG" 3123593 NIL URAGG (NIL T) -9 NIL 3124316 NIL) (-1273 3115807 3116670 3117793 "URAGG-" 3117798 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1272 3111516 3114442 3114907 "UPXSSING" 3115471 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1271 3103582 3110763 3111036 "UPXS" 3111301 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1270 3096655 3103486 3103558 "UPXSCONS" 3103563 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1269 3086062 3092858 3092920 "UPXSCCA" 3093494 NIL UPXSCCA (NIL T T) -9 NIL 3093727 NIL) (-1268 3085700 3085785 3085959 "UPXSCCA-" 3085964 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1267 3074959 3081528 3081571 "UPXSCAT" 3082219 NIL UPXSCAT (NIL T) -9 NIL 3082828 NIL) (-1266 3074389 3074468 3074647 "UPXS2" 3074874 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1265 3073043 3073296 3073647 "UPSQFREE" 3074132 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1264 3066251 3069311 3069366 "UPSCAT" 3070446 NIL UPSCAT (NIL T T) -9 NIL 3071211 NIL) (-1263 3065455 3065662 3065989 "UPSCAT-" 3065994 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1262 3050818 3058676 3058719 "UPOLYC" 3060820 NIL UPOLYC (NIL T) -9 NIL 3062041 NIL) (-1261 3042146 3044572 3047719 "UPOLYC-" 3047724 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1260 3041773 3041816 3041949 "UPOLYC2" 3042097 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1259 3033495 3041456 3041585 "UP" 3041692 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1258 3032834 3032941 3033105 "UPMP" 3033384 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1257 3032387 3032468 3032607 "UPDIVP" 3032747 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1256 3030955 3031204 3031520 "UPDECOMP" 3032136 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1255 3030186 3030298 3030484 "UPCDEN" 3030839 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1254 3029705 3029774 3029923 "UP2" 3030111 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1253 3028172 3028909 3029186 "UNISEG" 3029463 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1252 3027387 3027514 3027719 "UNISEG2" 3028015 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1251 3026447 3026627 3026853 "UNIFACT" 3027203 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1250 3010208 3025624 3025875 "ULS" 3026254 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1249 2998071 3010112 3010184 "ULSCONS" 3010189 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1248 2979370 2991495 2991557 "ULSCCAT" 2992195 NIL ULSCCAT (NIL T T) -9 NIL 2992484 NIL) (-1247 2978420 2978665 2979053 "ULSCCAT-" 2979058 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1246 2967484 2973967 2974010 "ULSCAT" 2974873 NIL ULSCAT (NIL T) -9 NIL 2975604 NIL) (-1245 2966914 2966993 2967172 "ULS2" 2967399 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1244 2966033 2966543 2966650 "UINT8" 2966761 T UINT8 (NIL) -8 NIL NIL 2966846) (-1243 2965151 2965661 2965768 "UINT64" 2965879 T UINT64 (NIL) -8 NIL NIL 2965964) (-1242 2964269 2964779 2964886 "UINT32" 2964997 T UINT32 (NIL) -8 NIL NIL 2965082) (-1241 2963387 2963897 2964004 "UINT16" 2964115 T UINT16 (NIL) -8 NIL NIL 2964200) (-1240 2961690 2962647 2962677 "UFD" 2962889 T UFD (NIL) -9 NIL 2963003 NIL) (-1239 2961484 2961530 2961625 "UFD-" 2961630 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1238 2960566 2960749 2960965 "UDVO" 2961290 T UDVO (NIL) -7 NIL NIL NIL) (-1237 2958382 2958791 2959262 "UDPO" 2960130 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1236 2958315 2958320 2958350 "TYPE" 2958355 T TYPE (NIL) -9 NIL NIL NIL) (-1235 2958075 2958270 2958301 "TYPEAST" 2958306 T TYPEAST (NIL) -8 NIL NIL NIL) (-1234 2957046 2957248 2957488 "TWOFACT" 2957869 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1233 2956069 2956455 2956690 "TUPLE" 2956846 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1232 2953760 2954279 2954818 "TUBETOOL" 2955552 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1231 2952609 2952814 2953055 "TUBE" 2953553 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1230 2947338 2951581 2951864 "TS" 2952361 NIL TS (NIL T) -8 NIL NIL NIL) (-1229 2935978 2940097 2940194 "TSETCAT" 2945463 NIL TSETCAT (NIL T T T T) -9 NIL 2946994 NIL) (-1228 2930710 2932310 2934201 "TSETCAT-" 2934206 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1227 2925349 2926196 2927125 "TRMANIP" 2929846 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1226 2924790 2924853 2925016 "TRIMAT" 2925281 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1225 2922656 2922893 2923250 "TRIGMNIP" 2924539 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1224 2922176 2922289 2922319 "TRIGCAT" 2922532 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1223 2921845 2921924 2922065 "TRIGCAT-" 2922070 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1222 2918690 2920703 2920984 "TREE" 2921599 NIL TREE (NIL T) -8 NIL NIL NIL) (-1221 2917964 2918492 2918522 "TRANFUN" 2918557 T TRANFUN (NIL) -9 NIL 2918623 NIL) (-1220 2917243 2917434 2917714 "TRANFUN-" 2917719 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1219 2917047 2917079 2917140 "TOPSP" 2917204 T TOPSP (NIL) -7 NIL NIL NIL) (-1218 2916395 2916510 2916664 "TOOLSIGN" 2916928 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1217 2915029 2915572 2915811 "TEXTFILE" 2916178 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1216 2912941 2913482 2913911 "TEX" 2914622 T TEX (NIL) -8 NIL NIL NIL) (-1215 2912722 2912753 2912825 "TEX1" 2912904 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1214 2912370 2912433 2912523 "TEMUTL" 2912654 T TEMUTL (NIL) -7 NIL NIL NIL) (-1213 2910524 2910804 2911129 "TBCMPPK" 2912093 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1212 2902301 2908684 2908740 "TBAGG" 2909140 NIL TBAGG (NIL T T) -9 NIL 2909351 NIL) (-1211 2897371 2898859 2900613 "TBAGG-" 2900618 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1210 2896755 2896862 2897007 "TANEXP" 2897260 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1209 2896266 2896530 2896620 "TALGOP" 2896700 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1208 2889656 2896123 2896216 "TABLE" 2896221 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1207 2889068 2889167 2889305 "TABLEAU" 2889553 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1206 2883676 2884896 2886144 "TABLBUMP" 2887854 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1205 2882898 2883045 2883226 "SYSTEM" 2883517 T SYSTEM (NIL) -8 NIL NIL NIL) (-1204 2879357 2880056 2880839 "SYSSOLP" 2882149 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1203 2879155 2879312 2879343 "SYSPTR" 2879348 T SYSPTR (NIL) -8 NIL NIL NIL) (-1202 2878191 2878696 2878815 "SYSNNI" 2879001 NIL SYSNNI (NIL NIL) -8 NIL NIL 2879086) (-1201 2877490 2877949 2878028 "SYSINT" 2878088 NIL SYSINT (NIL NIL) -8 NIL NIL 2878133) (-1200 2873822 2874768 2875478 "SYNTAX" 2876802 T SYNTAX (NIL) -8 NIL NIL NIL) (-1199 2870980 2871582 2872214 "SYMTAB" 2873212 T SYMTAB (NIL) -8 NIL NIL NIL) (-1198 2866229 2867131 2868114 "SYMS" 2870019 T SYMS (NIL) -8 NIL NIL NIL) (-1197 2863464 2865687 2865917 "SYMPOLY" 2866034 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1196 2862981 2863056 2863179 "SYMFUNC" 2863376 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1195 2859001 2860293 2861106 "SYMBOL" 2862190 T SYMBOL (NIL) -8 NIL NIL NIL) (-1194 2852540 2854229 2855949 "SWITCH" 2857303 T SWITCH (NIL) -8 NIL NIL NIL) (-1193 2845774 2851361 2851664 "SUTS" 2852295 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1192 2837840 2845021 2845294 "SUPXS" 2845559 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1191 2829510 2837458 2837584 "SUP" 2837749 NIL SUP (NIL T) -8 NIL NIL NIL) (-1190 2828669 2828796 2829013 "SUPFRACF" 2829378 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1189 2828290 2828349 2828462 "SUP2" 2828604 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1188 2826738 2827012 2827368 "SUMRF" 2827989 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1187 2826073 2826139 2826331 "SUMFS" 2826659 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1186 2809869 2825250 2825501 "SULS" 2825880 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1185 2809471 2809691 2809761 "SUCHTAST" 2809821 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1184 2808766 2808996 2809136 "SUCH" 2809379 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1183 2802633 2803672 2804631 "SUBSPACE" 2807854 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1182 2802063 2802153 2802317 "SUBRESP" 2802521 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1181 2795431 2796728 2798039 "STTF" 2800799 NIL STTF (NIL T) -7 NIL NIL NIL) (-1180 2789604 2790724 2791871 "STTFNC" 2794331 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1179 2780917 2782786 2784580 "STTAYLOR" 2787845 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1178 2774047 2780781 2780864 "STRTBL" 2780869 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1177 2769411 2774002 2774033 "STRING" 2774038 T STRING (NIL) -8 NIL NIL NIL) (-1176 2764240 2768754 2768784 "STRICAT" 2768843 T STRICAT (NIL) -9 NIL 2768905 NIL) (-1175 2756993 2761859 2762470 "STREAM" 2763664 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1174 2756503 2756580 2756724 "STREAM3" 2756910 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1173 2755485 2755668 2755903 "STREAM2" 2756316 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1172 2755173 2755225 2755318 "STREAM1" 2755427 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1171 2754189 2754370 2754601 "STINPROD" 2754989 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1170 2753741 2753951 2753981 "STEP" 2754061 T STEP (NIL) -9 NIL 2754139 NIL) (-1169 2752928 2753230 2753378 "STEPAST" 2753615 T STEPAST (NIL) -8 NIL NIL NIL) (-1168 2746360 2752827 2752904 "STBL" 2752909 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1167 2741455 2745551 2745594 "STAGG" 2745747 NIL STAGG (NIL T) -9 NIL 2745836 NIL) (-1166 2739157 2739759 2740631 "STAGG-" 2740636 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1165 2737304 2738927 2739019 "STACK" 2739100 NIL STACK (NIL T) -8 NIL NIL NIL) (-1164 2729999 2735445 2735901 "SREGSET" 2736934 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1163 2722424 2723793 2725306 "SRDCMPK" 2728605 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1162 2715309 2719834 2719864 "SRAGG" 2721167 T SRAGG (NIL) -9 NIL 2721775 NIL) (-1161 2714326 2714581 2714960 "SRAGG-" 2714965 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1160 2708697 2713273 2713694 "SQMATRIX" 2713952 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1159 2702382 2705415 2706142 "SPLTREE" 2708042 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1158 2698345 2699038 2699684 "SPLNODE" 2701808 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1157 2697392 2697625 2697655 "SPFCAT" 2698099 T SPFCAT (NIL) -9 NIL NIL NIL) (-1156 2696129 2696339 2696603 "SPECOUT" 2697150 T SPECOUT (NIL) -7 NIL NIL NIL) (-1155 2687239 2689111 2689141 "SPADXPT" 2693817 T SPADXPT (NIL) -9 NIL 2695981 NIL) (-1154 2687000 2687040 2687109 "SPADPRSR" 2687192 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1153 2685049 2686955 2686986 "SPADAST" 2686991 T SPADAST (NIL) -8 NIL NIL NIL) (-1152 2676994 2678767 2678810 "SPACEC" 2683183 NIL SPACEC (NIL T) -9 NIL 2684999 NIL) (-1151 2675124 2676926 2676975 "SPACE3" 2676980 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1150 2673876 2674047 2674338 "SORTPAK" 2674929 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1149 2671968 2672271 2672683 "SOLVETRA" 2673540 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1148 2671018 2671240 2671501 "SOLVESER" 2671741 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1147 2666322 2667210 2668205 "SOLVERAD" 2670070 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1146 2662137 2662746 2663475 "SOLVEFOR" 2665689 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1145 2656407 2661486 2661583 "SNTSCAT" 2661588 NIL SNTSCAT (NIL T T T T) -9 NIL 2661658 NIL) (-1144 2650513 2654730 2655121 "SMTS" 2656097 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1143 2645109 2650401 2650478 "SMP" 2650483 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1142 2643268 2643569 2643967 "SMITH" 2644806 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1141 2635710 2639997 2640100 "SMATCAT" 2641451 NIL SMATCAT (NIL NIL T T T) -9 NIL 2642001 NIL) (-1140 2632428 2633313 2634571 "SMATCAT-" 2634576 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1139 2630094 2631664 2631707 "SKAGG" 2631968 NIL SKAGG (NIL T) -9 NIL 2632103 NIL) (-1138 2626370 2629567 2629751 "SINT" 2629903 T SINT (NIL) -8 NIL NIL 2630065) (-1137 2626142 2626180 2626246 "SIMPAN" 2626326 T SIMPAN (NIL) -7 NIL NIL NIL) (-1136 2625421 2625677 2625817 "SIG" 2626024 T SIG (NIL) -8 NIL NIL NIL) (-1135 2624259 2624480 2624755 "SIGNRF" 2625180 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1134 2623092 2623243 2623527 "SIGNEF" 2624088 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1133 2622398 2622675 2622799 "SIGAST" 2622990 T SIGAST (NIL) -8 NIL NIL NIL) (-1132 2620088 2620542 2621048 "SHP" 2621939 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1131 2614093 2619989 2620065 "SHDP" 2620070 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1130 2613666 2613858 2613888 "SGROUP" 2613981 T SGROUP (NIL) -9 NIL 2614043 NIL) (-1129 2613524 2613550 2613623 "SGROUP-" 2613628 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1128 2610315 2611013 2611736 "SGCF" 2612823 T SGCF (NIL) -7 NIL NIL NIL) (-1127 2604683 2609762 2609859 "SFRTCAT" 2609864 NIL SFRTCAT (NIL T T T T) -9 NIL 2609903 NIL) (-1126 2598104 2599122 2600258 "SFRGCD" 2603666 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1125 2591230 2592303 2593489 "SFQCMPK" 2597037 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1124 2590850 2590939 2591050 "SFORT" 2591171 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1123 2589968 2590690 2590811 "SEXOF" 2590816 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1122 2589075 2589849 2589917 "SEX" 2589922 T SEX (NIL) -8 NIL NIL NIL) (-1121 2584856 2585571 2585666 "SEXCAT" 2588288 NIL SEXCAT (NIL T T T T T) -9 NIL 2588848 NIL) (-1120 2582009 2584790 2584838 "SET" 2584843 NIL SET (NIL T) -8 NIL NIL NIL) (-1119 2580233 2580722 2581027 "SETMN" 2581750 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1118 2579729 2579881 2579911 "SETCAT" 2580087 T SETCAT (NIL) -9 NIL 2580197 NIL) (-1117 2579421 2579499 2579629 "SETCAT-" 2579634 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1116 2575782 2577882 2577925 "SETAGG" 2578795 NIL SETAGG (NIL T) -9 NIL 2579135 NIL) (-1115 2575240 2575356 2575593 "SETAGG-" 2575598 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1114 2574683 2574936 2575037 "SEQAST" 2575161 T SEQAST (NIL) -8 NIL NIL NIL) (-1113 2573882 2574176 2574237 "SEGXCAT" 2574523 NIL SEGXCAT (NIL T T) -9 NIL 2574643 NIL) (-1112 2572888 2573548 2573730 "SEG" 2573735 NIL SEG (NIL T) -8 NIL NIL NIL) (-1111 2571867 2572081 2572124 "SEGCAT" 2572646 NIL SEGCAT (NIL T) -9 NIL 2572867 NIL) (-1110 2570799 2571230 2571438 "SEGBIND" 2571694 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1109 2570420 2570479 2570592 "SEGBIND2" 2570734 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1108 2569993 2570221 2570298 "SEGAST" 2570365 T SEGAST (NIL) -8 NIL NIL NIL) (-1107 2569212 2569338 2569542 "SEG2" 2569837 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1106 2568583 2569147 2569194 "SDVAR" 2569199 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1105 2561021 2568353 2568483 "SDPOL" 2568488 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1104 2559614 2559880 2560199 "SCPKG" 2560736 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1103 2558778 2558950 2559142 "SCOPE" 2559444 T SCOPE (NIL) -8 NIL NIL NIL) (-1102 2557998 2558132 2558311 "SCACHE" 2558633 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1101 2557644 2557830 2557860 "SASTCAT" 2557865 T SASTCAT (NIL) -9 NIL 2557878 NIL) (-1100 2557131 2557479 2557555 "SAOS" 2557590 T SAOS (NIL) -8 NIL NIL NIL) (-1099 2556696 2556731 2556904 "SAERFFC" 2557090 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1098 2550546 2556593 2556673 "SAE" 2556678 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1097 2550139 2550174 2550333 "SAEFACT" 2550505 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1096 2548460 2548774 2549175 "RURPK" 2549805 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1095 2547097 2547403 2547708 "RULESET" 2548294 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1094 2544320 2544850 2545308 "RULE" 2546778 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1093 2543932 2544114 2544197 "RULECOLD" 2544272 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1092 2543722 2543750 2543821 "RTVALUE" 2543883 T RTVALUE (NIL) -8 NIL NIL NIL) (-1091 2543193 2543439 2543533 "RSTRCAST" 2543650 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1090 2538041 2538836 2539756 "RSETGCD" 2542392 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1089 2527271 2532350 2532447 "RSETCAT" 2536566 NIL RSETCAT (NIL T T T T) -9 NIL 2537663 NIL) (-1088 2525198 2525737 2526561 "RSETCAT-" 2526566 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1087 2517584 2518960 2520480 "RSDCMPK" 2523797 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1086 2515563 2516030 2516104 "RRCC" 2517190 NIL RRCC (NIL T T) -9 NIL 2517534 NIL) (-1085 2514914 2515088 2515367 "RRCC-" 2515372 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1084 2514357 2514610 2514711 "RPTAST" 2514835 T RPTAST (NIL) -8 NIL NIL NIL) (-1083 2488020 2497469 2497536 "RPOLCAT" 2508202 NIL RPOLCAT (NIL T T T) -9 NIL 2511362 NIL) (-1082 2479518 2481858 2484980 "RPOLCAT-" 2484985 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1081 2470449 2477729 2478211 "ROUTINE" 2479058 T ROUTINE (NIL) -8 NIL NIL NIL) (-1080 2467196 2470075 2470215 "ROMAN" 2470331 T ROMAN (NIL) -8 NIL NIL NIL) (-1079 2465440 2466056 2466316 "ROIRC" 2467001 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1078 2461672 2463956 2463986 "RNS" 2464290 T RNS (NIL) -9 NIL 2464564 NIL) (-1077 2460181 2460564 2461098 "RNS-" 2461173 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1076 2459584 2459992 2460022 "RNG" 2460027 T RNG (NIL) -9 NIL 2460048 NIL) (-1075 2458587 2458949 2459151 "RNGBIND" 2459435 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1074 2457986 2458374 2458417 "RMODULE" 2458422 NIL RMODULE (NIL T) -9 NIL 2458449 NIL) (-1073 2456822 2456916 2457252 "RMCAT2" 2457887 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1072 2453672 2456168 2456465 "RMATRIX" 2456584 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1071 2446499 2448759 2448874 "RMATCAT" 2452233 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2453215 NIL) (-1070 2445874 2446021 2446328 "RMATCAT-" 2446333 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1069 2445275 2445496 2445539 "RLINSET" 2445733 NIL RLINSET (NIL T) -9 NIL 2445824 NIL) (-1068 2444842 2444917 2445045 "RINTERP" 2445194 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1067 2443900 2444454 2444484 "RING" 2444540 T RING (NIL) -9 NIL 2444632 NIL) (-1066 2443692 2443736 2443833 "RING-" 2443838 NIL RING- (NIL T) -8 NIL NIL NIL) (-1065 2442533 2442770 2443028 "RIDIST" 2443456 T RIDIST (NIL) -7 NIL NIL NIL) (-1064 2433822 2442001 2442207 "RGCHAIN" 2442381 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1063 2433172 2433578 2433619 "RGBCSPC" 2433677 NIL RGBCSPC (NIL T) -9 NIL 2433729 NIL) (-1062 2432330 2432711 2432752 "RGBCMDL" 2432984 NIL RGBCMDL (NIL T) -9 NIL 2433098 NIL) (-1061 2429324 2429938 2430608 "RF" 2431694 NIL RF (NIL T) -7 NIL NIL NIL) (-1060 2428970 2429033 2429136 "RFFACTOR" 2429255 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1059 2428695 2428730 2428827 "RFFACT" 2428929 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1058 2426812 2427176 2427558 "RFDIST" 2428335 T RFDIST (NIL) -7 NIL NIL NIL) (-1057 2426265 2426357 2426520 "RETSOL" 2426714 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1056 2425901 2425981 2426024 "RETRACT" 2426157 NIL RETRACT (NIL T) -9 NIL 2426244 NIL) (-1055 2425750 2425775 2425862 "RETRACT-" 2425867 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1054 2425352 2425572 2425642 "RETAST" 2425702 T RETAST (NIL) -8 NIL NIL NIL) (-1053 2418090 2425005 2425132 "RESULT" 2425247 T RESULT (NIL) -8 NIL NIL NIL) (-1052 2416681 2417359 2417558 "RESRING" 2417993 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1051 2416317 2416366 2416464 "RESLATC" 2416618 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1050 2416022 2416057 2416164 "REPSQ" 2416276 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1049 2413444 2414024 2414626 "REP" 2415442 T REP (NIL) -7 NIL NIL NIL) (-1048 2413141 2413176 2413287 "REPDB" 2413403 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1047 2407041 2408430 2409653 "REP2" 2411953 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1046 2403418 2404099 2404907 "REP1" 2406268 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1045 2396114 2401559 2402015 "REGSET" 2403048 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1044 2394879 2395262 2395512 "REF" 2395899 NIL REF (NIL T) -8 NIL NIL NIL) (-1043 2394256 2394359 2394526 "REDORDER" 2394763 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1042 2390224 2393469 2393696 "RECLOS" 2394084 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1041 2389276 2389457 2389672 "REALSOLV" 2390031 T REALSOLV (NIL) -7 NIL NIL NIL) (-1040 2389122 2389163 2389193 "REAL" 2389198 T REAL (NIL) -9 NIL 2389233 NIL) (-1039 2385605 2386407 2387291 "REAL0Q" 2388287 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1038 2381206 2382194 2383255 "REAL0" 2384586 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1037 2380677 2380923 2381017 "RDUCEAST" 2381134 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1036 2380082 2380154 2380361 "RDIV" 2380599 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1035 2379150 2379324 2379537 "RDIST" 2379904 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1034 2377747 2378034 2378406 "RDETRS" 2378858 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1033 2375559 2376013 2376551 "RDETR" 2377289 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1032 2374184 2374462 2374859 "RDEEFS" 2375275 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1031 2372693 2372999 2373424 "RDEEF" 2373872 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1030 2366754 2369674 2369704 "RCFIELD" 2370999 T RCFIELD (NIL) -9 NIL 2371730 NIL) (-1029 2364818 2365322 2366018 "RCFIELD-" 2366093 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1028 2361087 2362919 2362962 "RCAGG" 2364046 NIL RCAGG (NIL T) -9 NIL 2364511 NIL) (-1027 2360715 2360809 2360972 "RCAGG-" 2360977 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1026 2360050 2360162 2360327 "RATRET" 2360599 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1025 2359603 2359670 2359791 "RATFACT" 2359978 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1024 2358911 2359031 2359183 "RANDSRC" 2359473 T RANDSRC (NIL) -7 NIL NIL NIL) (-1023 2358645 2358689 2358762 "RADUTIL" 2358860 T RADUTIL (NIL) -7 NIL NIL NIL) (-1022 2351666 2357476 2357787 "RADIX" 2358368 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1021 2343182 2351508 2351638 "RADFF" 2351643 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-1020 2342829 2342904 2342934 "RADCAT" 2343094 T RADCAT (NIL) -9 NIL NIL NIL) (-1019 2342611 2342659 2342759 "RADCAT-" 2342764 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-1018 2340709 2342381 2342473 "QUEUE" 2342554 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-1017 2337157 2340642 2340690 "QUAT" 2340695 NIL QUAT (NIL T) -8 NIL NIL NIL) (-1016 2336788 2336831 2336962 "QUATCT2" 2337108 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-1015 2329872 2333308 2333350 "QUATCAT" 2334141 NIL QUATCAT (NIL T) -9 NIL 2334907 NIL) (-1014 2326011 2327048 2328438 "QUATCAT-" 2328534 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-1013 2323476 2325087 2325130 "QUAGG" 2325511 NIL QUAGG (NIL T) -9 NIL 2325686 NIL) (-1012 2323078 2323298 2323368 "QQUTAST" 2323428 T QQUTAST (NIL) -8 NIL NIL NIL) (-1011 2322091 2322591 2322756 "QFORM" 2322959 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-1010 2312815 2318143 2318185 "QFCAT" 2318853 NIL QFCAT (NIL T) -9 NIL 2319854 NIL) (-1009 2308160 2309423 2311097 "QFCAT-" 2311193 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-1008 2307791 2307834 2307965 "QFCAT2" 2308111 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-1007 2307246 2307356 2307488 "QEQUAT" 2307681 T QEQUAT (NIL) -8 NIL NIL NIL) (-1006 2300372 2301445 2302631 "QCMPACK" 2306179 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-1005 2297910 2298358 2298788 "QALGSET" 2300027 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-1004 2297145 2297321 2297557 "QALGSET2" 2297728 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-1003 2295830 2296054 2296373 "PWFFINTB" 2296918 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-1002 2294005 2294173 2294529 "PUSHVAR" 2295644 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-1001 2289894 2290948 2290991 "PTRANFN" 2292902 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-1000 2288285 2288576 2288900 "PTPACK" 2289605 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-999 2287917 2287974 2288083 "PTFUNC2" 2288222 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-998 2282362 2286759 2286800 "PTCAT" 2287096 NIL PTCAT (NIL T) -9 NIL 2287249 NIL) (-997 2282020 2282055 2282179 "PSQFR" 2282321 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-996 2280615 2280913 2281247 "PSEUDLIN" 2281718 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-995 2267378 2269749 2272073 "PSETPK" 2278375 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-994 2260396 2263136 2263232 "PSETCAT" 2266253 NIL PSETCAT (NIL T T T T) -9 NIL 2267067 NIL) (-993 2258232 2258866 2259687 "PSETCAT-" 2259692 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-992 2257581 2257746 2257774 "PSCURVE" 2258042 T PSCURVE (NIL) -9 NIL 2258209 NIL) (-991 2253579 2255095 2255160 "PSCAT" 2256004 NIL PSCAT (NIL T T T) -9 NIL 2256244 NIL) (-990 2252642 2252858 2253258 "PSCAT-" 2253263 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-989 2251001 2251711 2251974 "PRTITION" 2252399 T PRTITION (NIL) -8 NIL NIL NIL) (-988 2250476 2250722 2250814 "PRTDAST" 2250929 T PRTDAST (NIL) -8 NIL NIL NIL) (-987 2239566 2241780 2243968 "PRS" 2248338 NIL PRS (NIL T T) -7 NIL NIL NIL) (-986 2237377 2238916 2238956 "PRQAGG" 2239139 NIL PRQAGG (NIL T) -9 NIL 2239241 NIL) (-985 2236713 2237018 2237046 "PROPLOG" 2237185 T PROPLOG (NIL) -9 NIL 2237300 NIL) (-984 2236317 2236374 2236497 "PROPFUN2" 2236636 NIL PROPFUN2 (NIL T T) -8 NIL NIL NIL) (-983 2235632 2235753 2235925 "PROPFUN1" 2236178 NIL PROPFUN1 (NIL T) -8 NIL NIL NIL) (-982 2233813 2234379 2234676 "PROPFRML" 2235368 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-981 2233282 2233389 2233517 "PROPERTY" 2233705 T PROPERTY (NIL) -8 NIL NIL NIL) (-980 2227340 2231448 2232268 "PRODUCT" 2232508 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-979 2224618 2226798 2227032 "PR" 2227151 NIL PR (NIL T T) -8 NIL NIL NIL) (-978 2224414 2224446 2224505 "PRINT" 2224579 T PRINT (NIL) -7 NIL NIL NIL) (-977 2223754 2223871 2224023 "PRIMES" 2224294 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-976 2221819 2222220 2222686 "PRIMELT" 2223333 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-975 2221548 2221597 2221625 "PRIMCAT" 2221749 T PRIMCAT (NIL) -9 NIL NIL NIL) (-974 2217663 2221486 2221531 "PRIMARR" 2221536 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-973 2216670 2216848 2217076 "PRIMARR2" 2217481 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-972 2216313 2216369 2216480 "PREASSOC" 2216608 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-971 2215788 2215921 2215949 "PPCURVE" 2216154 T PPCURVE (NIL) -9 NIL 2216290 NIL) (-970 2215383 2215583 2215666 "PORTNUM" 2215725 T PORTNUM (NIL) -8 NIL NIL NIL) (-969 2212742 2213141 2213733 "POLYROOT" 2214964 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-968 2206835 2212346 2212506 "POLY" 2212615 NIL POLY (NIL T) -8 NIL NIL NIL) (-967 2206218 2206276 2206510 "POLYLIFT" 2206771 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-966 2202493 2202942 2203571 "POLYCATQ" 2205763 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-965 2189022 2194240 2194305 "POLYCAT" 2197819 NIL POLYCAT (NIL T T T) -9 NIL 2199697 NIL) (-964 2182249 2184173 2186637 "POLYCAT-" 2186642 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-963 2181836 2181904 2182024 "POLY2UP" 2182175 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-962 2181468 2181525 2181634 "POLY2" 2181773 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-961 2180153 2180392 2180668 "POLUTIL" 2181242 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-960 2178508 2178785 2179116 "POLTOPOL" 2179875 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-959 2173973 2178444 2178490 "POINT" 2178495 NIL POINT (NIL T) -8 NIL NIL NIL) (-958 2172160 2172517 2172892 "PNTHEORY" 2173618 T PNTHEORY (NIL) -7 NIL NIL NIL) (-957 2170618 2170915 2171314 "PMTOOLS" 2171858 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-956 2170211 2170289 2170406 "PMSYM" 2170534 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-955 2169719 2169788 2169963 "PMQFCAT" 2170136 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-954 2169074 2169184 2169340 "PMPRED" 2169596 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-953 2168467 2168553 2168715 "PMPREDFS" 2168975 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-952 2167131 2167339 2167717 "PMPLCAT" 2168229 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-951 2166663 2166742 2166894 "PMLSAGG" 2167046 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-950 2166136 2166212 2166394 "PMKERNEL" 2166581 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-949 2165753 2165828 2165941 "PMINS" 2166055 NIL PMINS (NIL T) -7 NIL NIL NIL) (-948 2165195 2165264 2165473 "PMFS" 2165678 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-947 2164423 2164541 2164746 "PMDOWN" 2165072 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-946 2163590 2163748 2163929 "PMASS" 2164262 T PMASS (NIL) -7 NIL NIL NIL) (-945 2162863 2162973 2163136 "PMASSFS" 2163477 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-944 2162518 2162586 2162680 "PLOTTOOL" 2162789 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-943 2157125 2158329 2159477 "PLOT" 2161390 T PLOT (NIL) -8 NIL NIL NIL) (-942 2152929 2153973 2154894 "PLOT3D" 2156224 T PLOT3D (NIL) -8 NIL NIL NIL) (-941 2151841 2152018 2152253 "PLOT1" 2152733 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-940 2127232 2131907 2136758 "PLEQN" 2147107 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-939 2126550 2126672 2126852 "PINTERP" 2127097 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-938 2126243 2126290 2126393 "PINTERPA" 2126497 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-937 2125459 2126007 2126094 "PI" 2126134 T PI (NIL) -8 NIL NIL 2126201) (-936 2123756 2124731 2124759 "PID" 2124941 T PID (NIL) -9 NIL 2125075 NIL) (-935 2123507 2123544 2123619 "PICOERCE" 2123713 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-934 2122827 2122966 2123142 "PGROEB" 2123363 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-933 2118414 2119228 2120133 "PGE" 2121942 T PGE (NIL) -7 NIL NIL NIL) (-932 2116537 2116784 2117150 "PGCD" 2118131 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-931 2115875 2115978 2116139 "PFRPAC" 2116421 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-930 2112515 2114423 2114776 "PFR" 2115554 NIL PFR (NIL T) -8 NIL NIL NIL) (-929 2110904 2111148 2111473 "PFOTOOLS" 2112262 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-928 2109437 2109676 2110027 "PFOQ" 2110661 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-927 2107938 2108150 2108506 "PFO" 2109221 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-926 2104491 2107827 2107896 "PF" 2107901 NIL PF (NIL NIL) -8 NIL NIL NIL) (-925 2101825 2103096 2103124 "PFECAT" 2103709 T PFECAT (NIL) -9 NIL 2104093 NIL) (-924 2101270 2101424 2101638 "PFECAT-" 2101643 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-923 2099873 2100125 2100426 "PFBRU" 2101019 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-922 2097739 2098091 2098523 "PFBR" 2099524 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-921 2093785 2095251 2095898 "PERM" 2097125 NIL PERM (NIL T) -8 NIL NIL NIL) (-920 2089019 2089992 2090862 "PERMGRP" 2092948 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-919 2087138 2088098 2088139 "PERMCAT" 2088539 NIL PERMCAT (NIL T) -9 NIL 2088837 NIL) (-918 2086791 2086832 2086956 "PERMAN" 2087091 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-917 2084279 2086456 2086578 "PENDTREE" 2086702 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-916 2083208 2083423 2083464 "PDSPC" 2083997 NIL PDSPC (NIL T) -9 NIL 2084242 NIL) (-915 2082311 2082529 2082891 "PDSPC-" 2082896 NIL PDSPC- (NIL T T) -8 NIL NIL NIL) (-914 2081193 2081961 2082002 "PDRING" 2082007 NIL PDRING (NIL T) -9 NIL 2082035 NIL) (-913 2078408 2079186 2079854 "PDEPROB" 2080545 T PDEPROB (NIL) -8 NIL NIL NIL) (-912 2075953 2076457 2077012 "PDEPACK" 2077873 T PDEPACK (NIL) -7 NIL NIL NIL) (-911 2074865 2075055 2075306 "PDECOMP" 2075752 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-910 2072444 2073287 2073315 "PDECAT" 2074102 T PDECAT (NIL) -9 NIL 2074815 NIL) (-909 2072073 2072128 2072182 "PDDOM" 2072347 NIL PDDOM (NIL T T) -9 NIL 2072427 NIL) (-908 2071892 2071922 2072029 "PDDOM-" 2072034 NIL PDDOM- (NIL T T T) -8 NIL NIL NIL) (-907 2071643 2071676 2071766 "PCOMP" 2071853 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-906 2069821 2070444 2070741 "PBWLB" 2071372 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-905 2062294 2063894 2065232 "PATTERN" 2068504 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-904 2061926 2061983 2062092 "PATTERN2" 2062231 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-903 2059683 2060071 2060528 "PATTERN1" 2061515 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-902 2057051 2057632 2058113 "PATRES" 2059248 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-901 2056615 2056682 2056814 "PATRES2" 2056978 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-900 2054498 2054903 2055310 "PATMATCH" 2056282 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-899 2054008 2054217 2054258 "PATMAB" 2054365 NIL PATMAB (NIL T) -9 NIL 2054448 NIL) (-898 2052526 2052862 2053120 "PATLRES" 2053813 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-897 2052072 2052195 2052236 "PATAB" 2052241 NIL PATAB (NIL T) -9 NIL 2052413 NIL) (-896 2050254 2050649 2051072 "PARTPERM" 2051669 T PARTPERM (NIL) -7 NIL NIL NIL) (-895 2049875 2049938 2050040 "PARSURF" 2050185 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-894 2049507 2049564 2049673 "PARSU2" 2049812 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-893 2049271 2049311 2049378 "PARSER" 2049460 T PARSER (NIL) -7 NIL NIL NIL) (-892 2048892 2048955 2049057 "PARSCURV" 2049202 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-891 2048524 2048581 2048690 "PARSC2" 2048829 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-890 2048163 2048221 2048318 "PARPCURV" 2048460 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-889 2047795 2047852 2047961 "PARPC2" 2048100 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-888 2046856 2047168 2047350 "PARAMAST" 2047633 T PARAMAST (NIL) -8 NIL NIL NIL) (-887 2046376 2046462 2046581 "PAN2EXPR" 2046757 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-886 2045153 2045497 2045725 "PALETTE" 2046168 T PALETTE (NIL) -8 NIL NIL NIL) (-885 2043546 2044158 2044518 "PAIR" 2044839 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-884 2037325 2042803 2042998 "PADICRC" 2043400 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-883 2030449 2036669 2036854 "PADICRAT" 2037172 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-882 2028764 2030386 2030431 "PADIC" 2030436 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-881 2025874 2027438 2027478 "PADICCT" 2028059 NIL PADICCT (NIL NIL) -9 NIL 2028341 NIL) (-880 2024831 2025031 2025299 "PADEPAC" 2025661 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-879 2024043 2024176 2024382 "PADE" 2024693 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-878 2022430 2023251 2023531 "OWP" 2023847 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-877 2021923 2022136 2022233 "OVERSET" 2022353 T OVERSET (NIL) -8 NIL NIL NIL) (-876 2020969 2021528 2021700 "OVAR" 2021791 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-875 2020233 2020354 2020515 "OUT" 2020828 T OUT (NIL) -7 NIL NIL NIL) (-874 2009105 2011342 2013542 "OUTFORM" 2018053 T OUTFORM (NIL) -8 NIL NIL NIL) (-873 2008441 2008702 2008829 "OUTBFILE" 2008998 T OUTBFILE (NIL) -8 NIL NIL NIL) (-872 2007748 2007913 2007941 "OUTBCON" 2008259 T OUTBCON (NIL) -9 NIL 2008425 NIL) (-871 2007349 2007461 2007618 "OUTBCON-" 2007623 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-870 2006729 2007078 2007167 "OSI" 2007280 T OSI (NIL) -8 NIL NIL NIL) (-869 2006259 2006597 2006625 "OSGROUP" 2006630 T OSGROUP (NIL) -9 NIL 2006652 NIL) (-868 2005004 2005231 2005516 "ORTHPOL" 2006006 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-867 2002555 2004839 2004960 "OREUP" 2004965 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-866 1999958 2002246 2002373 "ORESUP" 2002497 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-865 1997486 1997986 1998547 "OREPCTO" 1999447 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-864 1991172 1993373 1993414 "OREPCAT" 1995762 NIL OREPCAT (NIL T) -9 NIL 1996866 NIL) (-863 1988319 1989101 1990159 "OREPCAT-" 1990164 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-862 1987470 1987768 1987796 "ORDSET" 1988105 T ORDSET (NIL) -9 NIL 1988269 NIL) (-861 1986901 1987049 1987273 "ORDSET-" 1987278 NIL ORDSET- (NIL T) -8 NIL NIL NIL) (-860 1985466 1986257 1986285 "ORDRING" 1986487 T ORDRING (NIL) -9 NIL 1986612 NIL) (-859 1985111 1985205 1985349 "ORDRING-" 1985354 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-858 1984491 1984954 1984982 "ORDMON" 1984987 T ORDMON (NIL) -9 NIL 1985008 NIL) (-857 1983653 1983800 1983995 "ORDFUNS" 1984340 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-856 1982991 1983410 1983438 "ORDFIN" 1983503 T ORDFIN (NIL) -9 NIL 1983577 NIL) (-855 1979550 1981577 1981986 "ORDCOMP" 1982615 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-854 1978816 1978943 1979129 "ORDCOMP2" 1979410 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-853 1975397 1976307 1977121 "OPTPROB" 1978022 T OPTPROB (NIL) -8 NIL NIL NIL) (-852 1972199 1972838 1973542 "OPTPACK" 1974713 T OPTPACK (NIL) -7 NIL NIL NIL) (-851 1969886 1970652 1970680 "OPTCAT" 1971499 T OPTCAT (NIL) -9 NIL 1972149 NIL) (-850 1969270 1969563 1969668 "OPSIG" 1969801 T OPSIG (NIL) -8 NIL NIL NIL) (-849 1969038 1969077 1969143 "OPQUERY" 1969224 T OPQUERY (NIL) -7 NIL NIL NIL) (-848 1966169 1967349 1967853 "OP" 1968567 NIL OP (NIL T) -8 NIL NIL NIL) (-847 1965543 1965769 1965810 "OPERCAT" 1966022 NIL OPERCAT (NIL T) -9 NIL 1966119 NIL) (-846 1965298 1965354 1965471 "OPERCAT-" 1965476 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-845 1962111 1964095 1964464 "ONECOMP" 1964962 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-844 1961416 1961531 1961705 "ONECOMP2" 1961983 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-843 1960835 1960941 1961071 "OMSERVER" 1961306 T OMSERVER (NIL) -7 NIL NIL NIL) (-842 1957697 1960275 1960315 "OMSAGG" 1960376 NIL OMSAGG (NIL T) -9 NIL 1960440 NIL) (-841 1956320 1956583 1956865 "OMPKG" 1957435 T OMPKG (NIL) -7 NIL NIL NIL) (-840 1955750 1955853 1955881 "OM" 1956180 T OM (NIL) -9 NIL NIL NIL) (-839 1954297 1955299 1955468 "OMLO" 1955631 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-838 1953257 1953404 1953624 "OMEXPR" 1954123 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-837 1952548 1952803 1952939 "OMERR" 1953141 T OMERR (NIL) -8 NIL NIL NIL) (-836 1951699 1951969 1952129 "OMERRK" 1952408 T OMERRK (NIL) -8 NIL NIL NIL) (-835 1951150 1951376 1951484 "OMENC" 1951611 T OMENC (NIL) -8 NIL NIL NIL) (-834 1945045 1946230 1947401 "OMDEV" 1949999 T OMDEV (NIL) -8 NIL NIL NIL) (-833 1944114 1944285 1944479 "OMCONN" 1944871 T OMCONN (NIL) -8 NIL NIL NIL) (-832 1942635 1943611 1943639 "OINTDOM" 1943644 T OINTDOM (NIL) -9 NIL 1943665 NIL) (-831 1939973 1941323 1941660 "OFMONOID" 1942330 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-830 1939345 1939910 1939955 "ODVAR" 1939960 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-829 1936768 1939090 1939245 "ODR" 1939250 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-828 1929260 1936544 1936670 "ODPOL" 1936675 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-827 1923235 1929132 1929237 "ODP" 1929242 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-826 1922001 1922216 1922491 "ODETOOLS" 1923009 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-825 1918968 1919626 1920342 "ODESYS" 1921334 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-824 1913850 1914758 1915783 "ODERTRIC" 1918043 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-823 1913276 1913358 1913552 "ODERED" 1913762 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-822 1910164 1910712 1911389 "ODERAT" 1912699 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-821 1907123 1907588 1908185 "ODEPRRIC" 1909693 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-820 1905066 1905662 1906148 "ODEPROB" 1906657 T ODEPROB (NIL) -8 NIL NIL NIL) (-819 1901586 1902071 1902718 "ODEPRIM" 1904545 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-818 1900835 1900937 1901197 "ODEPAL" 1901478 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-817 1896997 1897788 1898652 "ODEPACK" 1899991 T ODEPACK (NIL) -7 NIL NIL NIL) (-816 1896058 1896165 1896387 "ODEINT" 1896886 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-815 1890159 1891584 1893031 "ODEIFTBL" 1894631 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-814 1885557 1886343 1887295 "ODEEF" 1889318 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-813 1884906 1884995 1885218 "ODECONST" 1885462 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-812 1883031 1883692 1883720 "ODECAT" 1884325 T ODECAT (NIL) -9 NIL 1884856 NIL) (-811 1879886 1882736 1882858 "OCT" 1882941 NIL OCT (NIL T) -8 NIL NIL NIL) (-810 1879524 1879567 1879694 "OCTCT2" 1879837 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-809 1874135 1876570 1876610 "OC" 1877707 NIL OC (NIL T) -9 NIL 1878565 NIL) (-808 1871362 1872110 1873100 "OC-" 1873194 NIL OC- (NIL T T) -8 NIL NIL NIL) (-807 1870714 1871182 1871210 "OCAMON" 1871215 T OCAMON (NIL) -9 NIL 1871236 NIL) (-806 1870245 1870586 1870614 "OASGP" 1870619 T OASGP (NIL) -9 NIL 1870639 NIL) (-805 1869506 1869995 1870023 "OAMONS" 1870063 T OAMONS (NIL) -9 NIL 1870106 NIL) (-804 1868920 1869353 1869381 "OAMON" 1869386 T OAMON (NIL) -9 NIL 1869406 NIL) (-803 1868178 1868696 1868724 "OAGROUP" 1868729 T OAGROUP (NIL) -9 NIL 1868749 NIL) (-802 1867868 1867918 1868006 "NUMTUBE" 1868122 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-801 1861441 1862959 1864495 "NUMQUAD" 1866352 T NUMQUAD (NIL) -7 NIL NIL NIL) (-800 1857197 1858185 1859210 "NUMODE" 1860436 T NUMODE (NIL) -7 NIL NIL NIL) (-799 1854552 1855432 1855460 "NUMINT" 1856383 T NUMINT (NIL) -9 NIL 1857147 NIL) (-798 1853500 1853697 1853915 "NUMFMT" 1854354 T NUMFMT (NIL) -7 NIL NIL NIL) (-797 1839859 1842804 1845336 "NUMERIC" 1851007 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-796 1834229 1839308 1839403 "NTSCAT" 1839408 NIL NTSCAT (NIL T T T T) -9 NIL 1839447 NIL) (-795 1833423 1833588 1833781 "NTPOLFN" 1834068 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-794 1821411 1830248 1831060 "NSUP" 1832644 NIL NSUP (NIL T) -8 NIL NIL NIL) (-793 1821043 1821100 1821209 "NSUP2" 1821348 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-792 1811180 1820817 1820950 "NSMP" 1820955 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-791 1809612 1809913 1810270 "NREP" 1810868 NIL NREP (NIL T) -7 NIL NIL NIL) (-790 1808203 1808455 1808813 "NPCOEF" 1809355 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-789 1807269 1807384 1807600 "NORMRETR" 1808084 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-788 1805310 1805600 1806009 "NORMPK" 1806977 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-787 1804995 1805023 1805147 "NORMMA" 1805276 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-786 1804795 1804952 1804981 "NONE" 1804986 T NONE (NIL) -8 NIL NIL NIL) (-785 1804584 1804613 1804682 "NONE1" 1804759 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-784 1804081 1804143 1804322 "NODE1" 1804516 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-783 1802362 1803213 1803468 "NNI" 1803815 T NNI (NIL) -8 NIL NIL 1804050) (-782 1800782 1801095 1801459 "NLINSOL" 1802030 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-781 1797023 1798018 1798917 "NIPROB" 1799903 T NIPROB (NIL) -8 NIL NIL NIL) (-780 1795780 1796014 1796316 "NFINTBAS" 1796785 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-779 1794954 1795430 1795471 "NETCLT" 1795643 NIL NETCLT (NIL T) -9 NIL 1795725 NIL) (-778 1793662 1793893 1794174 "NCODIV" 1794722 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-777 1793424 1793461 1793536 "NCNTFRAC" 1793619 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-776 1791604 1791968 1792388 "NCEP" 1793049 NIL NCEP (NIL T) -7 NIL NIL NIL) (-775 1790455 1791228 1791256 "NASRING" 1791366 T NASRING (NIL) -9 NIL 1791446 NIL) (-774 1790250 1790294 1790388 "NASRING-" 1790393 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-773 1789357 1789882 1789910 "NARNG" 1790027 T NARNG (NIL) -9 NIL 1790118 NIL) (-772 1789049 1789116 1789250 "NARNG-" 1789255 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-771 1787928 1788135 1788370 "NAGSP" 1788834 T NAGSP (NIL) -7 NIL NIL NIL) (-770 1779200 1780884 1782557 "NAGS" 1786275 T NAGS (NIL) -7 NIL NIL NIL) (-769 1777748 1778056 1778387 "NAGF07" 1778889 T NAGF07 (NIL) -7 NIL NIL NIL) (-768 1772286 1773577 1774884 "NAGF04" 1776461 T NAGF04 (NIL) -7 NIL NIL NIL) (-767 1765254 1766868 1768501 "NAGF02" 1770673 T NAGF02 (NIL) -7 NIL NIL NIL) (-766 1760478 1761578 1762695 "NAGF01" 1764157 T NAGF01 (NIL) -7 NIL NIL NIL) (-765 1754106 1755672 1757257 "NAGE04" 1758913 T NAGE04 (NIL) -7 NIL NIL NIL) (-764 1745275 1747396 1749526 "NAGE02" 1751996 T NAGE02 (NIL) -7 NIL NIL NIL) (-763 1741228 1742175 1743139 "NAGE01" 1744331 T NAGE01 (NIL) -7 NIL NIL NIL) (-762 1739023 1739557 1740115 "NAGD03" 1740690 T NAGD03 (NIL) -7 NIL NIL NIL) (-761 1730773 1732701 1734655 "NAGD02" 1737089 T NAGD02 (NIL) -7 NIL NIL NIL) (-760 1724584 1726009 1727449 "NAGD01" 1729353 T NAGD01 (NIL) -7 NIL NIL NIL) (-759 1720793 1721615 1722452 "NAGC06" 1723767 T NAGC06 (NIL) -7 NIL NIL NIL) (-758 1719258 1719590 1719946 "NAGC05" 1720457 T NAGC05 (NIL) -7 NIL NIL NIL) (-757 1718634 1718753 1718897 "NAGC02" 1719134 T NAGC02 (NIL) -7 NIL NIL NIL) (-756 1717593 1718176 1718216 "NAALG" 1718295 NIL NAALG (NIL T) -9 NIL 1718356 NIL) (-755 1717428 1717457 1717547 "NAALG-" 1717552 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-754 1711378 1712486 1713673 "MULTSQFR" 1716324 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-753 1710697 1710772 1710956 "MULTFACT" 1711290 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-752 1703368 1707282 1707335 "MTSCAT" 1708405 NIL MTSCAT (NIL T T) -9 NIL 1708920 NIL) (-751 1703080 1703134 1703226 "MTHING" 1703308 NIL MTHING (NIL T) -7 NIL NIL NIL) (-750 1702872 1702905 1702965 "MSYSCMD" 1703040 T MSYSCMD (NIL) -7 NIL NIL NIL) (-749 1698954 1701627 1701947 "MSET" 1702585 NIL MSET (NIL T) -8 NIL NIL NIL) (-748 1696023 1698515 1698556 "MSETAGG" 1698561 NIL MSETAGG (NIL T) -9 NIL 1698595 NIL) (-747 1691865 1693402 1694147 "MRING" 1695323 NIL MRING (NIL T T) -8 NIL NIL NIL) (-746 1691431 1691498 1691629 "MRF2" 1691792 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-745 1691049 1691084 1691228 "MRATFAC" 1691390 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-744 1688661 1688956 1689387 "MPRFF" 1690754 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-743 1682869 1688515 1688612 "MPOLY" 1688617 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-742 1682359 1682394 1682602 "MPCPF" 1682828 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-741 1681873 1681916 1682100 "MPC3" 1682310 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-740 1681068 1681149 1681370 "MPC2" 1681788 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-739 1679369 1679706 1680096 "MONOTOOL" 1680728 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-738 1678594 1678911 1678939 "MONOID" 1679158 T MONOID (NIL) -9 NIL 1679305 NIL) (-737 1678140 1678259 1678440 "MONOID-" 1678445 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-736 1668048 1674090 1674149 "MONOGEN" 1674823 NIL MONOGEN (NIL T T) -9 NIL 1675279 NIL) (-735 1665266 1666001 1667001 "MONOGEN-" 1667120 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-734 1664099 1664545 1664573 "MONADWU" 1664965 T MONADWU (NIL) -9 NIL 1665203 NIL) (-733 1663471 1663630 1663878 "MONADWU-" 1663883 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-732 1662830 1663074 1663102 "MONAD" 1663309 T MONAD (NIL) -9 NIL 1663421 NIL) (-731 1662515 1662593 1662725 "MONAD-" 1662730 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-730 1660804 1661428 1661707 "MOEBIUS" 1662268 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-729 1660082 1660486 1660526 "MODULE" 1660531 NIL MODULE (NIL T) -9 NIL 1660570 NIL) (-728 1659650 1659746 1659936 "MODULE-" 1659941 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-727 1657330 1658014 1658341 "MODRING" 1659474 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-726 1654274 1655435 1655956 "MODOP" 1656859 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-725 1652862 1653341 1653618 "MODMONOM" 1654137 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-724 1642817 1651153 1651567 "MODMON" 1652499 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-723 1639973 1641661 1641937 "MODFIELD" 1642692 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-722 1638950 1639254 1639444 "MMLFORM" 1639803 T MMLFORM (NIL) -8 NIL NIL NIL) (-721 1638476 1638519 1638698 "MMAP" 1638901 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-720 1636555 1637322 1637363 "MLO" 1637786 NIL MLO (NIL T) -9 NIL 1638028 NIL) (-719 1633921 1634437 1635039 "MLIFT" 1636036 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-718 1633312 1633396 1633550 "MKUCFUNC" 1633832 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-717 1632911 1632981 1633104 "MKRECORD" 1633235 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-716 1631958 1632120 1632348 "MKFUNC" 1632722 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-715 1631346 1631450 1631606 "MKFLCFN" 1631841 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-714 1630623 1630725 1630910 "MKBCFUNC" 1631239 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-713 1627298 1630177 1630313 "MINT" 1630507 T MINT (NIL) -8 NIL NIL NIL) (-712 1626110 1626353 1626630 "MHROWRED" 1627053 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-711 1621490 1624645 1625050 "MFLOAT" 1625725 T MFLOAT (NIL) -8 NIL NIL NIL) (-710 1620847 1620923 1621094 "MFINFACT" 1621402 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-709 1617162 1618010 1618894 "MESH" 1619983 T MESH (NIL) -7 NIL NIL NIL) (-708 1615552 1615864 1616217 "MDDFACT" 1616849 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-707 1612347 1614711 1614752 "MDAGG" 1615007 NIL MDAGG (NIL T) -9 NIL 1615150 NIL) (-706 1601994 1611640 1611847 "MCMPLX" 1612160 T MCMPLX (NIL) -8 NIL NIL NIL) (-705 1601131 1601277 1601478 "MCDEN" 1601843 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-704 1599021 1599291 1599671 "MCALCFN" 1600861 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-703 1597946 1598186 1598419 "MAYBE" 1598827 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-702 1595558 1596081 1596643 "MATSTOR" 1597417 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-701 1591515 1594930 1595178 "MATRIX" 1595343 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-700 1587281 1587988 1588724 "MATLIN" 1590872 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-699 1577387 1580573 1580650 "MATCAT" 1585530 NIL MATCAT (NIL T T T) -9 NIL 1586947 NIL) (-698 1573743 1574764 1576120 "MATCAT-" 1576125 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-697 1572337 1572490 1572823 "MATCAT2" 1573578 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-696 1570449 1570773 1571157 "MAPPKG3" 1572012 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-695 1569430 1569603 1569825 "MAPPKG2" 1570273 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-694 1567929 1568213 1568540 "MAPPKG1" 1569136 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-693 1567008 1567335 1567512 "MAPPAST" 1567772 T MAPPAST (NIL) -8 NIL NIL NIL) (-692 1566619 1566677 1566800 "MAPHACK3" 1566944 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-691 1566211 1566272 1566386 "MAPHACK2" 1566551 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-690 1565649 1565752 1565894 "MAPHACK1" 1566102 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-689 1563728 1564349 1564653 "MAGMA" 1565377 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-688 1563207 1563452 1563543 "MACROAST" 1563657 T MACROAST (NIL) -8 NIL NIL NIL) (-687 1559625 1561446 1561907 "M3D" 1562779 NIL M3D (NIL T) -8 NIL NIL NIL) (-686 1553700 1557964 1558005 "LZSTAGG" 1558787 NIL LZSTAGG (NIL T) -9 NIL 1559082 NIL) (-685 1549658 1550831 1552288 "LZSTAGG-" 1552293 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-684 1546745 1547549 1548036 "LWORD" 1549203 NIL LWORD (NIL T) -8 NIL NIL NIL) (-683 1546321 1546549 1546624 "LSTAST" 1546690 T LSTAST (NIL) -8 NIL NIL NIL) (-682 1539398 1546092 1546226 "LSQM" 1546231 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-681 1538622 1538761 1538989 "LSPP" 1539253 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-680 1536434 1536735 1537191 "LSMP" 1538311 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-679 1533213 1533887 1534617 "LSMP1" 1535736 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-678 1527059 1532350 1532391 "LSAGG" 1532453 NIL LSAGG (NIL T) -9 NIL 1532531 NIL) (-677 1523754 1524678 1525891 "LSAGG-" 1525896 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-676 1521353 1522898 1523147 "LPOLY" 1523549 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-675 1520935 1521020 1521143 "LPEFRAC" 1521262 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-674 1519256 1520029 1520282 "LO" 1520767 NIL LO (NIL T T T) -8 NIL NIL NIL) (-673 1518908 1519020 1519048 "LOGIC" 1519159 T LOGIC (NIL) -9 NIL 1519240 NIL) (-672 1518770 1518793 1518864 "LOGIC-" 1518869 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-671 1517963 1518103 1518296 "LODOOPS" 1518626 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-670 1515386 1517879 1517945 "LODO" 1517950 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-669 1513924 1514159 1514512 "LODOF" 1515133 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-668 1510128 1512559 1512600 "LODOCAT" 1513038 NIL LODOCAT (NIL T) -9 NIL 1513249 NIL) (-667 1509861 1509919 1510046 "LODOCAT-" 1510051 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-666 1507181 1509702 1509820 "LODO2" 1509825 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-665 1504616 1507118 1507163 "LODO1" 1507168 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-664 1503497 1503662 1503967 "LODEEF" 1504439 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-663 1498800 1501691 1501732 "LNAGG" 1502594 NIL LNAGG (NIL T) -9 NIL 1503029 NIL) (-662 1497947 1498161 1498503 "LNAGG-" 1498508 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-661 1494083 1494872 1495511 "LMOPS" 1497362 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-660 1493486 1493874 1493915 "LMODULE" 1493920 NIL LMODULE (NIL T) -9 NIL 1493946 NIL) (-659 1490684 1493131 1493254 "LMDICT" 1493396 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-658 1490090 1490311 1490352 "LLINSET" 1490543 NIL LLINSET (NIL T) -9 NIL 1490634 NIL) (-657 1489789 1489998 1490058 "LITERAL" 1490063 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-656 1482952 1488723 1489027 "LIST" 1489518 NIL LIST (NIL T) -8 NIL NIL NIL) (-655 1482477 1482551 1482690 "LIST3" 1482872 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-654 1481484 1481662 1481890 "LIST2" 1482295 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-653 1479618 1479930 1480329 "LIST2MAP" 1481131 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-652 1479214 1479451 1479492 "LINSET" 1479497 NIL LINSET (NIL T) -9 NIL 1479531 NIL) (-651 1477943 1478476 1478517 "LINEXP" 1478868 NIL LINEXP (NIL T) -9 NIL 1479059 NIL) (-650 1476520 1476780 1477091 "LINDEP" 1477695 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-649 1473287 1474006 1474783 "LIMITRF" 1475775 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-648 1471590 1471886 1472295 "LIMITPS" 1472982 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-647 1466018 1471101 1471329 "LIE" 1471411 NIL LIE (NIL T T) -8 NIL NIL NIL) (-646 1464966 1465435 1465475 "LIECAT" 1465615 NIL LIECAT (NIL T) -9 NIL 1465766 NIL) (-645 1464807 1464834 1464922 "LIECAT-" 1464927 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-644 1457394 1464347 1464503 "LIB" 1464671 T LIB (NIL) -8 NIL NIL NIL) (-643 1453029 1453912 1454847 "LGROBP" 1456511 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-642 1451027 1451301 1451651 "LF" 1452750 NIL LF (NIL T T) -7 NIL NIL NIL) (-641 1449867 1450559 1450587 "LFCAT" 1450794 T LFCAT (NIL) -9 NIL 1450933 NIL) (-640 1446769 1447399 1448087 "LEXTRIPK" 1449231 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-639 1443513 1444339 1444842 "LEXP" 1446349 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-638 1442989 1443234 1443326 "LETAST" 1443441 T LETAST (NIL) -8 NIL NIL NIL) (-637 1441387 1441700 1442101 "LEADCDET" 1442671 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-636 1440577 1440651 1440880 "LAZM3PK" 1441308 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-635 1435494 1438654 1439192 "LAUPOL" 1440089 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-634 1435073 1435117 1435278 "LAPLACE" 1435444 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-633 1433012 1434174 1434425 "LA" 1434906 NIL LA (NIL T T T) -8 NIL NIL NIL) (-632 1432006 1432590 1432631 "LALG" 1432693 NIL LALG (NIL T) -9 NIL 1432752 NIL) (-631 1431720 1431779 1431915 "LALG-" 1431920 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-630 1431555 1431579 1431620 "KVTFROM" 1431682 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-629 1430478 1430922 1431107 "KTVLOGIC" 1431390 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-628 1430313 1430337 1430378 "KRCFROM" 1430440 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-627 1429217 1429404 1429703 "KOVACIC" 1430113 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-626 1429052 1429076 1429117 "KONVERT" 1429179 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-625 1428887 1428911 1428952 "KOERCE" 1429014 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-624 1426718 1427480 1427857 "KERNEL" 1428543 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-623 1426214 1426295 1426427 "KERNEL2" 1426632 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-622 1419984 1424753 1424807 "KDAGG" 1425184 NIL KDAGG (NIL T T) -9 NIL 1425390 NIL) (-621 1419513 1419637 1419842 "KDAGG-" 1419847 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-620 1412661 1419174 1419329 "KAFILE" 1419391 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-619 1407089 1412172 1412400 "JORDAN" 1412482 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-618 1406468 1406738 1406859 "JOINAST" 1406988 T JOINAST (NIL) -8 NIL NIL NIL) (-617 1406314 1406373 1406428 "JAVACODE" 1406433 T JAVACODE (NIL) -8 NIL NIL NIL) (-616 1402566 1404519 1404573 "IXAGG" 1405502 NIL IXAGG (NIL T T) -9 NIL 1405961 NIL) (-615 1401485 1401791 1402210 "IXAGG-" 1402215 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-614 1397015 1401407 1401466 "IVECTOR" 1401471 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-613 1395781 1396018 1396284 "ITUPLE" 1396782 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-612 1394283 1394460 1394755 "ITRIGMNP" 1395603 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-611 1393028 1393232 1393515 "ITFUN3" 1394059 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-610 1392660 1392717 1392826 "ITFUN2" 1392965 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-609 1391819 1392140 1392314 "ITFORM" 1392506 T ITFORM (NIL) -8 NIL NIL NIL) (-608 1389780 1390839 1391117 "ITAYLOR" 1391574 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-607 1378725 1383917 1385080 "ISUPS" 1388650 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-606 1377829 1377969 1378205 "ISUMP" 1378572 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-605 1373204 1377774 1377815 "ISTRING" 1377820 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-604 1372680 1372925 1373017 "ISAST" 1373132 T ISAST (NIL) -8 NIL NIL NIL) (-603 1371889 1371971 1372187 "IRURPK" 1372594 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-602 1370825 1371026 1371266 "IRSN" 1371669 T IRSN (NIL) -7 NIL NIL NIL) (-601 1368896 1369251 1369680 "IRRF2F" 1370463 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-600 1368643 1368681 1368757 "IRREDFFX" 1368852 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-599 1367258 1367517 1367816 "IROOT" 1368376 NIL IROOT (NIL T) -7 NIL NIL NIL) (-598 1363862 1364942 1365634 "IR" 1366598 NIL IR (NIL T) -8 NIL NIL NIL) (-597 1363067 1363355 1363506 "IRFORM" 1363731 T IRFORM (NIL) -8 NIL NIL NIL) (-596 1360680 1361175 1361741 "IR2" 1362545 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-595 1359780 1359893 1360107 "IR2F" 1360563 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-594 1359571 1359605 1359665 "IPRNTPK" 1359740 T IPRNTPK (NIL) -7 NIL NIL NIL) (-593 1356152 1359460 1359529 "IPF" 1359534 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-592 1354479 1356077 1356134 "IPADIC" 1356139 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-591 1353791 1354039 1354169 "IP4ADDR" 1354369 T IP4ADDR (NIL) -8 NIL NIL NIL) (-590 1353165 1353420 1353552 "IOMODE" 1353679 T IOMODE (NIL) -8 NIL NIL NIL) (-589 1352238 1352762 1352889 "IOBFILE" 1353058 T IOBFILE (NIL) -8 NIL NIL NIL) (-588 1351726 1352142 1352170 "IOBCON" 1352175 T IOBCON (NIL) -9 NIL 1352196 NIL) (-587 1351237 1351295 1351478 "INVLAPLA" 1351662 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-586 1340885 1343239 1345625 "INTTR" 1348901 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-585 1337220 1337962 1338827 "INTTOOLS" 1340070 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-584 1336806 1336897 1337014 "INTSLPE" 1337123 T INTSLPE (NIL) -7 NIL NIL NIL) (-583 1334759 1336729 1336788 "INTRVL" 1336793 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-582 1332361 1332873 1333448 "INTRF" 1334244 NIL INTRF (NIL T) -7 NIL NIL NIL) (-581 1331772 1331869 1332011 "INTRET" 1332259 NIL INTRET (NIL T) -7 NIL NIL NIL) (-580 1329769 1330158 1330628 "INTRAT" 1331380 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-579 1327032 1327615 1328234 "INTPM" 1329254 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-578 1323777 1324376 1325114 "INTPAF" 1326418 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-577 1318956 1319918 1320969 "INTPACK" 1322746 T INTPACK (NIL) -7 NIL NIL NIL) (-576 1315854 1318753 1318862 "INT" 1318867 T INT (NIL) -8 NIL NIL NIL) (-575 1315106 1315258 1315466 "INTHERTR" 1315696 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-574 1314545 1314625 1314813 "INTHERAL" 1315020 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-573 1312391 1312834 1313291 "INTHEORY" 1314108 T INTHEORY (NIL) -7 NIL NIL NIL) (-572 1303797 1305418 1307190 "INTG0" 1310743 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-571 1284370 1289160 1293970 "INTFTBL" 1299007 T INTFTBL (NIL) -8 NIL NIL NIL) (-570 1283619 1283757 1283930 "INTFACT" 1284229 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-569 1281046 1281492 1282049 "INTEF" 1283173 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-568 1279413 1280152 1280180 "INTDOM" 1280481 T INTDOM (NIL) -9 NIL 1280688 NIL) (-567 1278782 1278956 1279198 "INTDOM-" 1279203 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-566 1275170 1277098 1277152 "INTCAT" 1277951 NIL INTCAT (NIL T) -9 NIL 1278272 NIL) (-565 1274642 1274745 1274873 "INTBIT" 1275062 T INTBIT (NIL) -7 NIL NIL NIL) (-564 1273341 1273495 1273802 "INTALG" 1274487 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-563 1272824 1272914 1273071 "INTAF" 1273245 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-562 1266167 1272634 1272774 "INTABL" 1272779 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-561 1265500 1265966 1266031 "INT8" 1266065 T INT8 (NIL) -8 NIL NIL 1266110) (-560 1264832 1265298 1265363 "INT64" 1265397 T INT64 (NIL) -8 NIL NIL 1265442) (-559 1264164 1264630 1264695 "INT32" 1264729 T INT32 (NIL) -8 NIL NIL 1264774) (-558 1263496 1263962 1264027 "INT16" 1264061 T INT16 (NIL) -8 NIL NIL 1264106) (-557 1258291 1261057 1261085 "INS" 1262019 T INS (NIL) -9 NIL 1262684 NIL) (-556 1255531 1256302 1257276 "INS-" 1257349 NIL INS- (NIL T) -8 NIL NIL NIL) (-555 1254306 1254533 1254831 "INPSIGN" 1255284 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-554 1253424 1253541 1253738 "INPRODPF" 1254186 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-553 1252318 1252435 1252672 "INPRODFF" 1253304 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-552 1251318 1251470 1251730 "INNMFACT" 1252154 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-551 1250515 1250612 1250800 "INMODGCD" 1251217 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-550 1249023 1249268 1249592 "INFSP" 1250260 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-549 1248207 1248324 1248507 "INFPROD0" 1248903 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-548 1245062 1246272 1246787 "INFORM" 1247700 T INFORM (NIL) -8 NIL NIL NIL) (-547 1244672 1244732 1244830 "INFORM1" 1244997 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-546 1244195 1244284 1244398 "INFINITY" 1244578 T INFINITY (NIL) -7 NIL NIL NIL) (-545 1243371 1243915 1244016 "INETCLTS" 1244114 T INETCLTS (NIL) -8 NIL NIL NIL) (-544 1241987 1242237 1242558 "INEP" 1243119 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-543 1241236 1241884 1241949 "INDE" 1241954 NIL INDE (NIL T) -8 NIL NIL NIL) (-542 1240800 1240868 1240985 "INCRMAPS" 1241163 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-541 1239618 1240069 1240275 "INBFILE" 1240614 T INBFILE (NIL) -8 NIL NIL NIL) (-540 1234917 1235854 1236798 "INBFF" 1238706 NIL INBFF (NIL T) -7 NIL NIL NIL) (-539 1233825 1234094 1234122 "INBCON" 1234635 T INBCON (NIL) -9 NIL 1234901 NIL) (-538 1233077 1233300 1233576 "INBCON-" 1233581 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-537 1232556 1232801 1232892 "INAST" 1233006 T INAST (NIL) -8 NIL NIL NIL) (-536 1231983 1232235 1232341 "IMPTAST" 1232470 T IMPTAST (NIL) -8 NIL NIL NIL) (-535 1228429 1231827 1231931 "IMATRIX" 1231936 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-534 1227137 1227260 1227576 "IMATQF" 1228285 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-533 1225357 1225584 1225921 "IMATLIN" 1226893 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-532 1219935 1225281 1225339 "ILIST" 1225344 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-531 1217840 1219795 1219908 "IIARRAY2" 1219913 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-530 1213238 1217751 1217815 "IFF" 1217820 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-529 1212585 1212855 1212971 "IFAST" 1213142 T IFAST (NIL) -8 NIL NIL NIL) (-528 1207580 1211877 1212065 "IFARRAY" 1212442 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-527 1206760 1207484 1207557 "IFAMON" 1207562 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-526 1206344 1206409 1206463 "IEVALAB" 1206670 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-525 1206019 1206087 1206247 "IEVALAB-" 1206252 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-524 1205650 1205933 1205996 "IDPO" 1206001 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-523 1204900 1205539 1205614 "IDPOAMS" 1205619 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-522 1204207 1204789 1204864 "IDPOAM" 1204869 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-521 1203266 1203542 1203595 "IDPC" 1204008 NIL IDPC (NIL T T) -9 NIL 1204157 NIL) (-520 1202735 1203158 1203231 "IDPAM" 1203236 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-519 1202111 1202627 1202700 "IDPAG" 1202705 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-518 1201756 1201947 1202022 "IDENT" 1202056 T IDENT (NIL) -8 NIL NIL NIL) (-517 1198011 1198859 1199754 "IDECOMP" 1200913 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-516 1190848 1191934 1192981 "IDEAL" 1197047 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-515 1190008 1190120 1190320 "ICDEN" 1190732 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-514 1189079 1189488 1189635 "ICARD" 1189881 T ICARD (NIL) -8 NIL NIL NIL) (-513 1187139 1187452 1187857 "IBPTOOLS" 1188756 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-512 1182746 1186759 1186872 "IBITS" 1187058 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-511 1179469 1180045 1180740 "IBATOOL" 1182163 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-510 1177248 1177710 1178243 "IBACHIN" 1179004 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-509 1175077 1177094 1177197 "IARRAY2" 1177202 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-508 1171183 1175003 1175060 "IARRAY1" 1175065 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-507 1165221 1169595 1170076 "IAN" 1170722 T IAN (NIL) -8 NIL NIL NIL) (-506 1164732 1164789 1164962 "IALGFACT" 1165158 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-505 1164260 1164373 1164401 "HYPCAT" 1164608 T HYPCAT (NIL) -9 NIL NIL NIL) (-504 1163798 1163915 1164101 "HYPCAT-" 1164106 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-503 1163393 1163593 1163676 "HOSTNAME" 1163735 T HOSTNAME (NIL) -8 NIL NIL NIL) (-502 1163238 1163275 1163316 "HOMOTOP" 1163321 NIL HOMOTOP (NIL T) -9 NIL 1163354 NIL) (-501 1159870 1161248 1161289 "HOAGG" 1162270 NIL HOAGG (NIL T) -9 NIL 1162949 NIL) (-500 1158464 1158863 1159389 "HOAGG-" 1159394 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-499 1152373 1158057 1158207 "HEXADEC" 1158334 T HEXADEC (NIL) -8 NIL NIL NIL) (-498 1151121 1151343 1151606 "HEUGCD" 1152150 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-497 1150197 1150958 1151088 "HELLFDIV" 1151093 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-496 1148376 1149974 1150062 "HEAP" 1150141 NIL HEAP (NIL T) -8 NIL NIL NIL) (-495 1147639 1147928 1148062 "HEADAST" 1148262 T HEADAST (NIL) -8 NIL NIL NIL) (-494 1141658 1147554 1147616 "HDP" 1147621 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-493 1135557 1141293 1141445 "HDMP" 1141559 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-492 1134881 1135021 1135185 "HB" 1135413 T HB (NIL) -7 NIL NIL NIL) (-491 1128267 1134727 1134831 "HASHTBL" 1134836 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-490 1127743 1127988 1128080 "HASAST" 1128195 T HASAST (NIL) -8 NIL NIL NIL) (-489 1125521 1127365 1127547 "HACKPI" 1127581 T HACKPI (NIL) -8 NIL NIL NIL) (-488 1121189 1125374 1125487 "GTSET" 1125492 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-487 1114604 1121067 1121165 "GSTBL" 1121170 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-486 1106882 1113635 1113900 "GSERIES" 1114395 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-485 1106023 1106440 1106468 "GROUP" 1106671 T GROUP (NIL) -9 NIL 1106805 NIL) (-484 1105389 1105548 1105799 "GROUP-" 1105804 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-483 1103756 1104077 1104464 "GROEBSOL" 1105066 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-482 1102670 1102958 1103009 "GRMOD" 1103538 NIL GRMOD (NIL T T) -9 NIL 1103706 NIL) (-481 1102438 1102474 1102602 "GRMOD-" 1102607 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-480 1097728 1098792 1099792 "GRIMAGE" 1101458 T GRIMAGE (NIL) -8 NIL NIL NIL) (-479 1096194 1096455 1096779 "GRDEF" 1097424 T GRDEF (NIL) -7 NIL NIL NIL) (-478 1095638 1095754 1095895 "GRAY" 1096073 T GRAY (NIL) -7 NIL NIL NIL) (-477 1094825 1095231 1095282 "GRALG" 1095435 NIL GRALG (NIL T T) -9 NIL 1095528 NIL) (-476 1094486 1094559 1094722 "GRALG-" 1094727 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-475 1091263 1094071 1094249 "GPOLSET" 1094393 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-474 1090617 1090674 1090932 "GOSPER" 1091200 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-473 1086349 1087055 1087581 "GMODPOL" 1090316 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-472 1085354 1085538 1085776 "GHENSEL" 1086161 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-471 1079510 1080353 1081373 "GENUPS" 1084438 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-470 1079207 1079258 1079347 "GENUFACT" 1079453 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-469 1078619 1078696 1078861 "GENPGCD" 1079125 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-468 1078093 1078128 1078341 "GENMFACT" 1078578 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-467 1076659 1076916 1077223 "GENEEZ" 1077836 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-466 1070718 1076270 1076432 "GDMP" 1076582 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-465 1060061 1064489 1065595 "GCNAALG" 1069701 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-464 1058388 1059250 1059278 "GCDDOM" 1059533 T GCDDOM (NIL) -9 NIL 1059690 NIL) (-463 1057858 1057985 1058200 "GCDDOM-" 1058205 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-462 1056530 1056715 1057019 "GB" 1057637 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-461 1045146 1047476 1049868 "GBINTERN" 1054221 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-460 1042983 1043275 1043696 "GBF" 1044821 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-459 1041764 1041929 1042196 "GBEUCLID" 1042799 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-458 1041113 1041238 1041387 "GAUSSFAC" 1041635 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-457 1039480 1039782 1040096 "GALUTIL" 1040832 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-456 1037788 1038062 1038386 "GALPOLYU" 1039207 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-455 1035153 1035443 1035850 "GALFACTU" 1037485 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-454 1026959 1028458 1030066 "GALFACT" 1033585 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-453 1024347 1025005 1025033 "FVFUN" 1026189 T FVFUN (NIL) -9 NIL 1026909 NIL) (-452 1023613 1023795 1023823 "FVC" 1024114 T FVC (NIL) -9 NIL 1024297 NIL) (-451 1023256 1023438 1023506 "FUNDESC" 1023565 T FUNDESC (NIL) -8 NIL NIL NIL) (-450 1022871 1023053 1023134 "FUNCTION" 1023208 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-449 1020615 1021193 1021659 "FT" 1022425 T FT (NIL) -8 NIL NIL NIL) (-448 1019406 1019916 1020119 "FTEM" 1020432 T FTEM (NIL) -8 NIL NIL NIL) (-447 1017697 1017986 1018383 "FSUPFACT" 1019097 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-446 1016094 1016383 1016715 "FST" 1017385 T FST (NIL) -8 NIL NIL NIL) (-445 1015293 1015399 1015587 "FSRED" 1015976 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-444 1013992 1014248 1014595 "FSPRMELT" 1015008 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-443 1011298 1011736 1012222 "FSPECF" 1013555 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-442 992600 1001072 1001113 "FS" 1004997 NIL FS (NIL T) -9 NIL 1007286 NIL) (-441 981243 984236 988293 "FS-" 988593 NIL FS- (NIL T T) -8 NIL NIL NIL) (-440 980771 980825 980995 "FSINT" 981184 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-439 979063 979764 980067 "FSERIES" 980550 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-438 978105 978221 978445 "FSCINT" 978943 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-437 974313 977049 977090 "FSAGG" 977460 NIL FSAGG (NIL T) -9 NIL 977719 NIL) (-436 972075 972676 973472 "FSAGG-" 973567 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-435 971117 971260 971487 "FSAGG2" 971928 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-434 968795 969075 969623 "FS2UPS" 970835 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-433 968429 968472 968601 "FS2" 968746 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-432 967307 967478 967780 "FS2EXPXP" 968254 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-431 966733 966848 967000 "FRUTIL" 967187 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-430 958146 962228 963586 "FR" 965407 NIL FR (NIL T) -8 NIL NIL NIL) (-429 953160 955835 955875 "FRNAALG" 957195 NIL FRNAALG (NIL T) -9 NIL 957793 NIL) (-428 948833 949909 951184 "FRNAALG-" 951934 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-427 948471 948514 948641 "FRNAAF2" 948784 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-426 946846 947320 947616 "FRMOD" 948283 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-425 944589 945221 945539 "FRIDEAL" 946637 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-424 943780 943867 944158 "FRIDEAL2" 944496 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-423 942913 943327 943368 "FRETRCT" 943373 NIL FRETRCT (NIL T) -9 NIL 943549 NIL) (-422 942025 942256 942607 "FRETRCT-" 942612 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-421 939113 940323 940382 "FRAMALG" 941264 NIL FRAMALG (NIL T T) -9 NIL 941556 NIL) (-420 937247 937702 938332 "FRAMALG-" 938555 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-419 931077 936720 936997 "FRAC" 937002 NIL FRAC (NIL T) -8 NIL NIL NIL) (-418 930713 930770 930877 "FRAC2" 931014 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-417 930349 930406 930513 "FR2" 930650 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-416 924862 927755 927783 "FPS" 928902 T FPS (NIL) -9 NIL 929459 NIL) (-415 924311 924420 924584 "FPS-" 924730 NIL FPS- (NIL T) -8 NIL NIL NIL) (-414 921613 923282 923310 "FPC" 923535 T FPC (NIL) -9 NIL 923677 NIL) (-413 921406 921446 921543 "FPC-" 921548 NIL FPC- (NIL T) -8 NIL NIL NIL) (-412 920196 920894 920935 "FPATMAB" 920940 NIL FPATMAB (NIL T) -9 NIL 921092 NIL) (-411 917869 918372 918798 "FPARFRAC" 919833 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-410 913263 913761 914443 "FORTRAN" 917301 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-409 910979 911479 912018 "FORT" 912744 T FORT (NIL) -7 NIL NIL NIL) (-408 908655 909217 909245 "FORTFN" 910305 T FORTFN (NIL) -9 NIL 910929 NIL) (-407 908419 908469 908497 "FORTCAT" 908556 T FORTCAT (NIL) -9 NIL 908618 NIL) (-406 906525 907035 907425 "FORMULA" 908049 T FORMULA (NIL) -8 NIL NIL NIL) (-405 906313 906343 906412 "FORMULA1" 906489 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-404 905836 905888 906061 "FORDER" 906255 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-403 904932 905096 905289 "FOP" 905663 T FOP (NIL) -7 NIL NIL NIL) (-402 903513 904212 904386 "FNLA" 904814 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-401 902242 902657 902685 "FNCAT" 903145 T FNCAT (NIL) -9 NIL 903405 NIL) (-400 901781 902201 902229 "FNAME" 902234 T FNAME (NIL) -8 NIL NIL NIL) (-399 900344 901307 901335 "FMTC" 901340 T FMTC (NIL) -9 NIL 901376 NIL) (-398 899090 900280 900326 "FMONOID" 900331 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-397 895918 897086 897127 "FMONCAT" 898344 NIL FMONCAT (NIL T) -9 NIL 898949 NIL) (-396 895110 895660 895809 "FM" 895814 NIL FM (NIL T T) -8 NIL NIL NIL) (-395 892534 893180 893208 "FMFUN" 894352 T FMFUN (NIL) -9 NIL 895060 NIL) (-394 891803 891984 892012 "FMC" 892302 T FMC (NIL) -9 NIL 892484 NIL) (-393 888882 889742 889796 "FMCAT" 890991 NIL FMCAT (NIL T T) -9 NIL 891486 NIL) (-392 887748 888648 888748 "FM1" 888827 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-391 885522 885938 886432 "FLOATRP" 887299 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-390 879100 883251 883872 "FLOAT" 884921 T FLOAT (NIL) -8 NIL NIL NIL) (-389 876538 877038 877616 "FLOATCP" 878567 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-388 875385 876144 876185 "FLINEXP" 876190 NIL FLINEXP (NIL T) -9 NIL 876283 NIL) (-387 874317 874614 875022 "FLINEXP-" 875027 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-386 873393 873537 873761 "FLASORT" 874169 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-385 870509 871377 871429 "FLALG" 872656 NIL FLALG (NIL T T) -9 NIL 873123 NIL) (-384 864213 867965 868006 "FLAGG" 869268 NIL FLAGG (NIL T) -9 NIL 869920 NIL) (-383 862939 863278 863768 "FLAGG-" 863773 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-382 861981 862124 862351 "FLAGG2" 862792 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-381 858832 859840 859899 "FINRALG" 861027 NIL FINRALG (NIL T T) -9 NIL 861535 NIL) (-380 857992 858221 858560 "FINRALG-" 858565 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-379 857372 857611 857639 "FINITE" 857835 T FINITE (NIL) -9 NIL 857942 NIL) (-378 849729 851916 851956 "FINAALG" 855623 NIL FINAALG (NIL T) -9 NIL 857076 NIL) (-377 845061 846111 847255 "FINAALG-" 848634 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-376 844429 844816 844919 "FILE" 844991 NIL FILE (NIL T) -8 NIL NIL NIL) (-375 843087 843425 843479 "FILECAT" 844163 NIL FILECAT (NIL T T) -9 NIL 844379 NIL) (-374 840803 842331 842359 "FIELD" 842399 T FIELD (NIL) -9 NIL 842479 NIL) (-373 839423 839808 840319 "FIELD-" 840324 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-372 837273 838058 838405 "FGROUP" 839109 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-371 836363 836527 836747 "FGLMICPK" 837105 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-370 832195 836288 836345 "FFX" 836350 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-369 831796 831857 831992 "FFSLPE" 832128 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-368 827786 828568 829364 "FFPOLY" 831032 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-367 827290 827326 827535 "FFPOLY2" 827744 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-366 823136 827209 827272 "FFP" 827277 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-365 818534 823047 823111 "FF" 823116 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-364 813660 817877 818067 "FFNBX" 818388 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-363 808588 812795 813053 "FFNBP" 813514 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-362 803221 807872 808083 "FFNB" 808421 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-361 802053 802251 802566 "FFINTBAS" 803018 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-360 798079 800300 800328 "FFIELDC" 800948 T FFIELDC (NIL) -9 NIL 801324 NIL) (-359 796741 797112 797609 "FFIELDC-" 797614 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-358 796310 796356 796480 "FFHOM" 796683 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-357 794005 794492 795009 "FFF" 795825 NIL FFF (NIL T) -7 NIL NIL NIL) (-356 789623 793747 793848 "FFCGX" 793948 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-355 785245 789355 789462 "FFCGP" 789566 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-354 780428 784972 785080 "FFCG" 785181 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-353 761131 770317 770403 "FFCAT" 775568 NIL FFCAT (NIL T T T) -9 NIL 777019 NIL) (-352 756328 757376 758690 "FFCAT-" 759920 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-351 755739 755782 756017 "FFCAT2" 756279 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-350 745062 748711 749931 "FEXPR" 754591 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-349 744024 744459 744500 "FEVALAB" 744584 NIL FEVALAB (NIL T) -9 NIL 744845 NIL) (-348 743183 743393 743731 "FEVALAB-" 743736 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-347 741749 742566 742769 "FDIV" 743082 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-346 738769 739510 739625 "FDIVCAT" 741193 NIL FDIVCAT (NIL T T T T) -9 NIL 741630 NIL) (-345 738531 738558 738728 "FDIVCAT-" 738733 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-344 737751 737838 738115 "FDIV2" 738438 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-343 736725 737046 737248 "FCTRDATA" 737569 T FCTRDATA (NIL) -8 NIL NIL NIL) (-342 735411 735670 735959 "FCPAK1" 736456 T FCPAK1 (NIL) -7 NIL NIL NIL) (-341 734510 734911 735052 "FCOMP" 735302 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-340 718215 721660 725198 "FC" 730992 T FC (NIL) -8 NIL NIL NIL) (-339 710494 714522 714562 "FAXF" 716364 NIL FAXF (NIL T) -9 NIL 717056 NIL) (-338 707771 708428 709253 "FAXF-" 709718 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-337 702823 707147 707323 "FARRAY" 707628 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-336 697717 699784 699837 "FAMR" 700860 NIL FAMR (NIL T T) -9 NIL 701320 NIL) (-335 696607 696909 697344 "FAMR-" 697349 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-334 695776 696529 696582 "FAMONOID" 696587 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-333 693562 694272 694325 "FAMONC" 695266 NIL FAMONC (NIL T T) -9 NIL 695652 NIL) (-332 692226 693316 693453 "FAGROUP" 693458 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-331 690021 690340 690743 "FACUTIL" 691907 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-330 689120 689305 689527 "FACTFUNC" 689831 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-329 681542 688423 688622 "EXPUPXS" 688976 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-328 679025 679565 680151 "EXPRTUBE" 680976 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-327 675296 675888 676618 "EXPRODE" 678364 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-326 661015 673945 674374 "EXPR" 674900 NIL EXPR (NIL T) -8 NIL NIL NIL) (-325 655569 656156 656962 "EXPR2UPS" 660313 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-324 655201 655258 655367 "EXPR2" 655506 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-323 646454 654352 654643 "EXPEXPAN" 655037 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-322 646254 646411 646440 "EXIT" 646445 T EXIT (NIL) -8 NIL NIL NIL) (-321 645734 645978 646069 "EXITAST" 646183 T EXITAST (NIL) -8 NIL NIL NIL) (-320 645361 645423 645536 "EVALCYC" 645666 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-319 644902 645020 645061 "EVALAB" 645231 NIL EVALAB (NIL T) -9 NIL 645335 NIL) (-318 644383 644505 644726 "EVALAB-" 644731 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-317 641751 643053 643081 "EUCDOM" 643636 T EUCDOM (NIL) -9 NIL 643986 NIL) (-316 640156 640598 641188 "EUCDOM-" 641193 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-315 627695 630454 633204 "ESTOOLS" 637426 T ESTOOLS (NIL) -7 NIL NIL NIL) (-314 627327 627384 627493 "ESTOOLS2" 627632 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-313 627078 627120 627200 "ESTOOLS1" 627279 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-312 621115 622723 622751 "ES" 625519 T ES (NIL) -9 NIL 626929 NIL) (-311 616062 617349 619166 "ES-" 619330 NIL ES- (NIL T) -8 NIL NIL NIL) (-310 612436 613197 613977 "ESCONT" 615302 T ESCONT (NIL) -7 NIL NIL NIL) (-309 612181 612213 612295 "ESCONT1" 612398 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-308 611856 611906 612006 "ES2" 612125 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-307 611486 611544 611653 "ES1" 611792 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-306 610702 610831 611007 "ERROR" 611330 T ERROR (NIL) -7 NIL NIL NIL) (-305 604094 610561 610652 "EQTBL" 610657 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-304 596597 599408 600857 "EQ" 602678 NIL -2086 (NIL T) -8 NIL NIL NIL) (-303 596229 596286 596395 "EQ2" 596534 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-302 591520 592567 593660 "EP" 595168 NIL EP (NIL T) -7 NIL NIL NIL) (-301 590120 590411 590717 "ENV" 591234 T ENV (NIL) -8 NIL NIL NIL) (-300 589214 589768 589796 "ENTIRER" 589801 T ENTIRER (NIL) -9 NIL 589847 NIL) (-299 585908 587396 587757 "EMR" 589022 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-298 585038 585223 585277 "ELTAGG" 585657 NIL ELTAGG (NIL T T) -9 NIL 585868 NIL) (-297 584757 584819 584960 "ELTAGG-" 584965 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-296 584521 584550 584604 "ELTAB" 584688 NIL ELTAB (NIL T T) -9 NIL 584740 NIL) (-295 583647 583793 583992 "ELFUTS" 584372 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-294 583389 583445 583473 "ELEMFUN" 583578 T ELEMFUN (NIL) -9 NIL NIL NIL) (-293 583259 583280 583348 "ELEMFUN-" 583353 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-292 578073 581329 581370 "ELAGG" 582310 NIL ELAGG (NIL T) -9 NIL 582773 NIL) (-291 576358 576792 577455 "ELAGG-" 577460 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-290 575670 575807 575963 "ELABOR" 576222 T ELABOR (NIL) -8 NIL NIL NIL) (-289 574331 574610 574904 "ELABEXPR" 575396 T ELABEXPR (NIL) -8 NIL NIL NIL) (-288 567165 568968 569797 "EFUPXS" 573606 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-287 560613 562414 563225 "EFULS" 566440 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-286 558098 558456 558928 "EFSTRUC" 560245 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-285 547889 549455 551003 "EF" 556613 NIL EF (NIL T T) -7 NIL NIL NIL) (-284 546963 547374 547523 "EAB" 547760 T EAB (NIL) -8 NIL NIL NIL) (-283 546145 546922 546950 "E04UCFA" 546955 T E04UCFA (NIL) -8 NIL NIL NIL) (-282 545327 546104 546132 "E04NAFA" 546137 T E04NAFA (NIL) -8 NIL NIL NIL) (-281 544509 545286 545314 "E04MBFA" 545319 T E04MBFA (NIL) -8 NIL NIL NIL) (-280 543691 544468 544496 "E04JAFA" 544501 T E04JAFA (NIL) -8 NIL NIL NIL) (-279 542875 543650 543678 "E04GCFA" 543683 T E04GCFA (NIL) -8 NIL NIL NIL) (-278 542059 542834 542862 "E04FDFA" 542867 T E04FDFA (NIL) -8 NIL NIL NIL) (-277 541241 542018 542046 "E04DGFA" 542051 T E04DGFA (NIL) -8 NIL NIL NIL) (-276 535414 536766 538130 "E04AGNT" 539897 T E04AGNT (NIL) -7 NIL NIL NIL) (-275 534185 534728 534768 "DVARCAT" 535109 NIL DVARCAT (NIL T) -9 NIL 535272 NIL) (-274 533389 533601 533915 "DVARCAT-" 533920 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-273 526437 533188 533317 "DSMP" 533322 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-272 524860 525579 525620 "DSEXT" 525983 NIL DSEXT (NIL T) -9 NIL 526277 NIL) (-271 523145 523573 524239 "DSEXT-" 524244 NIL DSEXT- (NIL T T) -8 NIL NIL NIL) (-270 517926 519090 520158 "DROPT" 522097 T DROPT (NIL) -8 NIL NIL NIL) (-269 517591 517650 517748 "DROPT1" 517861 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-268 512706 513832 514969 "DROPT0" 516474 T DROPT0 (NIL) -7 NIL NIL NIL) (-267 511051 511376 511762 "DRAWPT" 512340 T DRAWPT (NIL) -7 NIL NIL NIL) (-266 505638 506561 507640 "DRAW" 510025 NIL DRAW (NIL T) -7 NIL NIL NIL) (-265 505271 505324 505442 "DRAWHACK" 505579 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-264 504002 504271 504562 "DRAWCX" 505000 T DRAWCX (NIL) -7 NIL NIL NIL) (-263 503517 503586 503737 "DRAWCURV" 503928 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-262 493985 495947 498062 "DRAWCFUN" 501422 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-261 490749 492678 492719 "DQAGG" 493348 NIL DQAGG (NIL T) -9 NIL 493622 NIL) (-260 478551 485110 485193 "DPOLCAT" 487045 NIL DPOLCAT (NIL T T T T) -9 NIL 487590 NIL) (-259 473388 474736 476694 "DPOLCAT-" 476699 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-258 467694 473249 473347 "DPMO" 473352 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-257 461903 467474 467641 "DPMM" 467646 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-256 461473 461687 461776 "DOMTMPLT" 461834 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-255 460906 461275 461355 "DOMCTOR" 461413 T DOMCTOR (NIL) -8 NIL NIL NIL) (-254 460118 460386 460537 "DOMAIN" 460775 T DOMAIN (NIL) -8 NIL NIL NIL) (-253 454017 459753 459905 "DMP" 460019 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-252 453617 453673 453817 "DLP" 453955 NIL DLP (NIL T) -7 NIL NIL NIL) (-251 447439 452944 453134 "DLIST" 453459 NIL DLIST (NIL T) -8 NIL NIL NIL) (-250 444236 446292 446333 "DLAGG" 446883 NIL DLAGG (NIL T) -9 NIL 447113 NIL) (-249 442912 443576 443604 "DIVRING" 443696 T DIVRING (NIL) -9 NIL 443779 NIL) (-248 442149 442339 442639 "DIVRING-" 442644 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-247 440251 440608 441014 "DISPLAY" 441763 T DISPLAY (NIL) -7 NIL NIL NIL) (-246 434290 440165 440228 "DIRPROD" 440233 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-245 433138 433341 433606 "DIRPROD2" 434083 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-244 422340 428197 428250 "DIRPCAT" 428508 NIL DIRPCAT (NIL NIL T) -9 NIL 429383 NIL) (-243 419444 420148 421109 "DIRPCAT-" 421446 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-242 418731 418891 419077 "DIOSP" 419278 T DIOSP (NIL) -7 NIL NIL NIL) (-241 415386 417643 417684 "DIOPS" 418118 NIL DIOPS (NIL T) -9 NIL 418347 NIL) (-240 414935 415049 415240 "DIOPS-" 415245 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-239 413986 414614 414642 "DIFRING" 414647 T DIFRING (NIL) -9 NIL 414669 NIL) (-238 413658 413732 413760 "DIFFSPC" 413879 T DIFFSPC (NIL) -9 NIL 413954 NIL) (-237 413303 413381 413533 "DIFFSPC-" 413538 NIL DIFFSPC- (NIL T) -8 NIL NIL NIL) (-236 412459 412937 412977 "DIFFMOD" 412982 NIL DIFFMOD (NIL T) -9 NIL 413009 NIL) (-235 412167 412212 412253 "DIFFDOM" 412374 NIL DIFFDOM (NIL T) -9 NIL 412442 NIL) (-234 412020 412044 412128 "DIFFDOM-" 412133 NIL DIFFDOM- (NIL T T) -8 NIL NIL NIL) (-233 409553 410825 410866 "DIFEXT" 411229 NIL DIFEXT (NIL T) -9 NIL 411523 NIL) (-232 407838 408266 408932 "DIFEXT-" 408937 NIL DIFEXT- (NIL T T) -8 NIL NIL NIL) (-231 405113 407370 407411 "DIAGG" 407416 NIL DIAGG (NIL T) -9 NIL 407436 NIL) (-230 404497 404654 404906 "DIAGG-" 404911 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-229 399914 403456 403733 "DHMATRIX" 404266 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-228 395526 396435 397445 "DFSFUN" 398924 T DFSFUN (NIL) -7 NIL NIL NIL) (-227 390606 394457 394769 "DFLOAT" 395234 T DFLOAT (NIL) -8 NIL NIL NIL) (-226 388869 389150 389539 "DFINTTLS" 390314 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-225 385898 386890 387290 "DERHAM" 388535 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-224 383699 385673 385762 "DEQUEUE" 385842 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-223 382953 383086 383269 "DEGRED" 383561 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-222 379383 380128 380974 "DEFINTRF" 382181 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-221 376938 377407 377999 "DEFINTEF" 378902 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-220 376288 376558 376673 "DEFAST" 376843 T DEFAST (NIL) -8 NIL NIL NIL) (-219 370197 375881 376031 "DECIMAL" 376158 T DECIMAL (NIL) -8 NIL NIL NIL) (-218 367709 368167 368673 "DDFACT" 369741 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-217 367305 367348 367499 "DBLRESP" 367660 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-216 365173 365535 365896 "DBASE" 367071 NIL DBASE (NIL T) -8 NIL NIL NIL) (-215 364415 364653 364799 "DATAARY" 365072 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-214 363521 364374 364402 "D03FAFA" 364407 T D03FAFA (NIL) -8 NIL NIL NIL) (-213 362628 363480 363508 "D03EEFA" 363513 T D03EEFA (NIL) -8 NIL NIL NIL) (-212 360578 361044 361533 "D03AGNT" 362159 T D03AGNT (NIL) -7 NIL NIL NIL) (-211 359867 360537 360565 "D02EJFA" 360570 T D02EJFA (NIL) -8 NIL NIL NIL) (-210 359156 359826 359854 "D02CJFA" 359859 T D02CJFA (NIL) -8 NIL NIL NIL) (-209 358445 359115 359143 "D02BHFA" 359148 T D02BHFA (NIL) -8 NIL NIL NIL) (-208 357734 358404 358432 "D02BBFA" 358437 T D02BBFA (NIL) -8 NIL NIL NIL) (-207 350931 352520 354126 "D02AGNT" 356148 T D02AGNT (NIL) -7 NIL NIL NIL) (-206 348699 349222 349768 "D01WGTS" 350405 T D01WGTS (NIL) -7 NIL NIL NIL) (-205 347766 348658 348686 "D01TRNS" 348691 T D01TRNS (NIL) -8 NIL NIL NIL) (-204 346834 347725 347753 "D01GBFA" 347758 T D01GBFA (NIL) -8 NIL NIL NIL) (-203 345902 346793 346821 "D01FCFA" 346826 T D01FCFA (NIL) -8 NIL NIL NIL) (-202 344970 345861 345889 "D01ASFA" 345894 T D01ASFA (NIL) -8 NIL NIL NIL) (-201 344038 344929 344957 "D01AQFA" 344962 T D01AQFA (NIL) -8 NIL NIL NIL) (-200 343106 343997 344025 "D01APFA" 344030 T D01APFA (NIL) -8 NIL NIL NIL) (-199 342174 343065 343093 "D01ANFA" 343098 T D01ANFA (NIL) -8 NIL NIL NIL) (-198 341242 342133 342161 "D01AMFA" 342166 T D01AMFA (NIL) -8 NIL NIL NIL) (-197 340310 341201 341229 "D01ALFA" 341234 T D01ALFA (NIL) -8 NIL NIL NIL) (-196 339378 340269 340297 "D01AKFA" 340302 T D01AKFA (NIL) -8 NIL NIL NIL) (-195 338446 339337 339365 "D01AJFA" 339370 T D01AJFA (NIL) -8 NIL NIL NIL) (-194 331741 333294 334855 "D01AGNT" 336905 T D01AGNT (NIL) -7 NIL NIL NIL) (-193 331078 331206 331358 "CYCLOTOM" 331609 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-192 327811 328526 329253 "CYCLES" 330371 T CYCLES (NIL) -7 NIL NIL NIL) (-191 327123 327257 327428 "CVMP" 327672 NIL CVMP (NIL T) -7 NIL NIL NIL) (-190 324964 325222 325591 "CTRIGMNP" 326851 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-189 324400 324758 324831 "CTOR" 324911 T CTOR (NIL) -8 NIL NIL NIL) (-188 323909 324131 324232 "CTORKIND" 324319 T CTORKIND (NIL) -8 NIL NIL NIL) (-187 323200 323516 323544 "CTORCAT" 323726 T CTORCAT (NIL) -9 NIL 323839 NIL) (-186 322798 322909 323068 "CTORCAT-" 323073 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-185 322260 322472 322580 "CTORCALL" 322722 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-184 321634 321733 321886 "CSTTOOLS" 322157 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-183 317433 318090 318848 "CRFP" 320946 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-182 316908 317154 317246 "CRCEAST" 317361 T CRCEAST (NIL) -8 NIL NIL NIL) (-181 315955 316140 316368 "CRAPACK" 316712 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-180 315339 315440 315644 "CPMATCH" 315831 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-179 315064 315092 315198 "CPIMA" 315305 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-178 311412 312084 312803 "COORDSYS" 314399 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-177 310824 310945 311087 "CONTOUR" 311290 T CONTOUR (NIL) -8 NIL NIL NIL) (-176 306715 308827 309319 "CONTFRAC" 310364 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-175 306595 306616 306644 "CONDUIT" 306681 T CONDUIT (NIL) -9 NIL NIL NIL) (-174 305683 306237 306265 "COMRING" 306270 T COMRING (NIL) -9 NIL 306322 NIL) (-173 304737 305041 305225 "COMPPROP" 305519 T COMPPROP (NIL) -8 NIL NIL NIL) (-172 304398 304433 304561 "COMPLPAT" 304696 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-171 294600 304207 304316 "COMPLEX" 304321 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 294236 294293 294400 "COMPLEX2" 294537 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-169 293575 293696 293856 "COMPILER" 294096 T COMPILER (NIL) -8 NIL NIL NIL) (-168 293293 293328 293426 "COMPFACT" 293534 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-167 277046 287131 287171 "COMPCAT" 288175 NIL COMPCAT (NIL T) -9 NIL 289523 NIL) (-166 266336 269325 273032 "COMPCAT-" 273388 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-165 266065 266093 266196 "COMMUPC" 266302 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-164 265859 265893 265952 "COMMONOP" 266026 T COMMONOP (NIL) -7 NIL NIL NIL) (-163 265415 265610 265697 "COMM" 265792 T COMM (NIL) -8 NIL NIL NIL) (-162 264991 265219 265294 "COMMAAST" 265360 T COMMAAST (NIL) -8 NIL NIL NIL) (-161 264240 264434 264462 "COMBOPC" 264800 T COMBOPC (NIL) -9 NIL 264975 NIL) (-160 263136 263346 263588 "COMBINAT" 264030 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-159 259593 260167 260794 "COMBF" 262558 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-158 258351 258709 258944 "COLOR" 259378 T COLOR (NIL) -8 NIL NIL NIL) (-157 257827 258072 258164 "COLONAST" 258279 T COLONAST (NIL) -8 NIL NIL NIL) (-156 257467 257514 257639 "CMPLXRT" 257774 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-155 256915 257167 257266 "CLLCTAST" 257388 T CLLCTAST (NIL) -8 NIL NIL NIL) (-154 252417 253445 254525 "CLIP" 255855 T CLIP (NIL) -7 NIL NIL NIL) (-153 250758 251518 251758 "CLIF" 252244 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-152 246933 248904 248945 "CLAGG" 249874 NIL CLAGG (NIL T) -9 NIL 250410 NIL) (-151 245355 245812 246395 "CLAGG-" 246400 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-150 244899 244984 245124 "CINTSLPE" 245264 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-149 242400 242871 243419 "CHVAR" 244427 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-148 241574 242128 242156 "CHARZ" 242161 T CHARZ (NIL) -9 NIL 242176 NIL) (-147 241328 241368 241446 "CHARPOL" 241528 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-146 240386 240973 241001 "CHARNZ" 241048 T CHARNZ (NIL) -9 NIL 241104 NIL) (-145 238292 239040 239393 "CHAR" 240053 T CHAR (NIL) -8 NIL NIL NIL) (-144 238018 238079 238107 "CFCAT" 238218 T CFCAT (NIL) -9 NIL NIL NIL) (-143 237259 237370 237553 "CDEN" 237902 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-142 233224 236412 236692 "CCLASS" 236999 T CCLASS (NIL) -8 NIL NIL NIL) (-141 232475 232632 232809 "CATEGORY" 233067 T -10 (NIL) -8 NIL NIL NIL) (-140 232048 232394 232442 "CATCTOR" 232447 T CATCTOR (NIL) -8 NIL NIL NIL) (-139 231499 231751 231849 "CATAST" 231970 T CATAST (NIL) -8 NIL NIL NIL) (-138 230975 231220 231312 "CASEAST" 231427 T CASEAST (NIL) -8 NIL NIL NIL) (-137 226113 227132 227876 "CARTEN" 230287 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 225221 225369 225590 "CARTEN2" 225960 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-135 223537 224371 224628 "CARD" 224984 T CARD (NIL) -8 NIL NIL NIL) (-134 223113 223341 223416 "CAPSLAST" 223482 T CAPSLAST (NIL) -8 NIL NIL NIL) (-133 222617 222825 222853 "CACHSET" 222985 T CACHSET (NIL) -9 NIL 223063 NIL) (-132 222087 222409 222437 "CABMON" 222487 T CABMON (NIL) -9 NIL 222543 NIL) (-131 221560 221791 221901 "BYTEORD" 221997 T BYTEORD (NIL) -8 NIL NIL NIL) (-130 220537 221089 221231 "BYTE" 221394 T BYTE (NIL) -8 NIL NIL 221516) (-129 215887 220042 220214 "BYTEBUF" 220385 T BYTEBUF (NIL) -8 NIL NIL NIL) (-128 213396 215579 215686 "BTREE" 215813 NIL BTREE (NIL T) -8 NIL NIL NIL) (-127 210845 213044 213166 "BTOURN" 213306 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-126 208215 210315 210356 "BTCAT" 210424 NIL BTCAT (NIL T) -9 NIL 210501 NIL) (-125 207882 207962 208111 "BTCAT-" 208116 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-124 203261 207141 207169 "BTAGG" 207283 T BTAGG (NIL) -9 NIL 207393 NIL) (-123 202751 202876 203082 "BTAGG-" 203087 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-122 199746 202029 202244 "BSTREE" 202568 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-121 198884 199010 199194 "BRILL" 199602 NIL BRILL (NIL T) -7 NIL NIL NIL) (-120 195536 197610 197651 "BRAGG" 198300 NIL BRAGG (NIL T) -9 NIL 198558 NIL) (-119 194065 194471 195026 "BRAGG-" 195031 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-118 187189 193409 193594 "BPADICRT" 193912 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-117 185504 187126 187171 "BPADIC" 187176 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-116 185202 185232 185346 "BOUNDZRO" 185468 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-115 180430 181628 182540 "BOP" 184310 T BOP (NIL) -8 NIL NIL NIL) (-114 178211 178615 179090 "BOP1" 179988 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-113 177912 177973 178001 "BOOLE" 178112 T BOOLE (NIL) -9 NIL 178194 NIL) (-112 176737 177486 177635 "BOOLEAN" 177783 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 176016 176420 176474 "BMODULE" 176479 NIL BMODULE (NIL T T) -9 NIL 176544 NIL) (-110 171817 175814 175887 "BITS" 175963 T BITS (NIL) -8 NIL NIL NIL) (-109 171238 171357 171497 "BINDING" 171697 T BINDING (NIL) -8 NIL NIL NIL) (-108 165150 170833 170982 "BINARY" 171109 T BINARY (NIL) -8 NIL NIL NIL) (-107 162930 164405 164446 "BGAGG" 164706 NIL BGAGG (NIL T) -9 NIL 164843 NIL) (-106 162761 162793 162884 "BGAGG-" 162889 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 161832 162145 162350 "BFUNCT" 162576 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 160522 160700 160988 "BEZOUT" 161656 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 156991 159374 159704 "BBTREE" 160225 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 156725 156778 156806 "BASTYPE" 156925 T BASTYPE (NIL) -9 NIL NIL NIL) (-101 156577 156606 156679 "BASTYPE-" 156684 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 156011 156087 156239 "BALFACT" 156488 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 154867 155426 155612 "AUTOMOR" 155856 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 154593 154598 154624 "ATTREG" 154629 T ATTREG (NIL) -9 NIL NIL NIL) (-97 152845 153290 153642 "ATTRBUT" 154259 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 152453 152673 152739 "ATTRAST" 152797 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 151989 152102 152128 "ATRIG" 152329 T ATRIG (NIL) -9 NIL NIL NIL) (-94 151798 151839 151926 "ATRIG-" 151931 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 151443 151629 151655 "ASTCAT" 151660 T ASTCAT (NIL) -9 NIL 151690 NIL) (-92 151170 151229 151348 "ASTCAT-" 151353 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 149319 150946 151034 "ASTACK" 151113 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 147824 148121 148486 "ASSOCEQ" 149001 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 146856 147483 147607 "ASP9" 147731 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 146619 146804 146843 "ASP8" 146848 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 145487 146224 146366 "ASP80" 146508 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 144385 145122 145254 "ASP7" 145386 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 143339 144062 144180 "ASP78" 144298 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 142308 143019 143136 "ASP77" 143253 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 141220 141946 142077 "ASP74" 142208 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 140120 140855 140987 "ASP73" 141119 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 139224 139946 140046 "ASP6" 140051 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 138171 138901 139019 "ASP55" 139137 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 137120 137845 137964 "ASP50" 138083 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 136208 136821 136931 "ASP4" 137041 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 135296 135909 136019 "ASP49" 136129 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 134080 134835 135003 "ASP42" 135185 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 132857 133613 133783 "ASP41" 133967 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 131807 132534 132652 "ASP35" 132770 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 131572 131755 131794 "ASP34" 131799 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 131309 131376 131452 "ASP33" 131527 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 130203 130944 131076 "ASP31" 131208 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 129968 130151 130190 "ASP30" 130195 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 129703 129772 129848 "ASP29" 129923 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 129468 129651 129690 "ASP28" 129695 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 129233 129416 129455 "ASP27" 129460 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 128317 128931 129042 "ASP24" 129153 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 127394 128119 128231 "ASP20" 128236 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 126482 127095 127205 "ASP1" 127315 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 125425 126156 126275 "ASP19" 126394 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 125162 125229 125305 "ASP12" 125380 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 124014 124761 124905 "ASP10" 125049 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 121865 123858 123949 "ARRAY2" 123954 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 117630 121513 121627 "ARRAY1" 121782 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 116662 116835 117056 "ARRAY12" 117453 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 110974 112892 112967 "ARR2CAT" 115597 NIL ARR2CAT (NIL T T T) -9 NIL 116355 NIL) (-56 108408 109152 110106 "ARR2CAT-" 110111 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 107725 108035 108160 "ARITY" 108301 T ARITY (NIL) -8 NIL NIL NIL) (-54 106501 106653 106952 "APPRULE" 107561 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 106152 106200 106319 "APPLYORE" 106447 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 105506 105745 105865 "ANY" 106050 T ANY (NIL) -8 NIL NIL NIL) (-51 104784 104907 105064 "ANY1" 105380 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 102314 103221 103548 "ANTISYM" 104508 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 101806 102021 102117 "ANON" 102236 T ANON (NIL) -8 NIL NIL NIL) (-48 95984 100345 100799 "AN" 101370 T AN (NIL) -8 NIL NIL NIL) (-47 91882 93270 93321 "AMR" 94069 NIL AMR (NIL T T) -9 NIL 94669 NIL) (-46 90994 91215 91578 "AMR-" 91583 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 75433 90911 90972 "ALIST" 90977 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 72238 75027 75196 "ALGSC" 75351 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 68794 69348 69955 "ALGPKG" 71678 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 68071 68172 68356 "ALGMFACT" 68680 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 64106 64685 65279 "ALGMANIP" 67655 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 55373 63732 63882 "ALGFF" 64039 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 54569 54700 54879 "ALGFACT" 55231 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 53510 54110 54148 "ALGEBRA" 54153 NIL ALGEBRA (NIL T) -9 NIL 54194 NIL) (-37 53228 53287 53419 "ALGEBRA-" 53424 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 35291 51200 51252 "ALAGG" 51388 NIL ALAGG (NIL T T) -9 NIL 51549 NIL) (-35 34827 34940 34966 "AHYP" 35167 T AHYP (NIL) -9 NIL NIL NIL) (-34 33758 34006 34032 "AGG" 34531 T AGG (NIL) -9 NIL 34810 NIL) (-33 33192 33354 33568 "AGG-" 33573 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 30998 31421 31826 "AF" 32834 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 30478 30723 30813 "ADDAST" 30926 T ADDAST (NIL) -8 NIL NIL NIL) (-30 29746 30005 30161 "ACPLOT" 30340 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 18670 26678 26716 "ACFS" 27323 NIL ACFS (NIL T) -9 NIL 27562 NIL) (-28 16697 17187 17949 "ACFS-" 17954 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 12815 14744 14770 "ACF" 15649 T ACF (NIL) -9 NIL 16062 NIL) (-26 11519 11853 12346 "ACF-" 12351 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 11091 11286 11312 "ABELSG" 11404 T ABELSG (NIL) -9 NIL 11469 NIL) (-24 10958 10983 11049 "ABELSG-" 11054 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 10301 10588 10614 "ABELMON" 10784 T ABELMON (NIL) -9 NIL 10896 NIL) (-22 9965 10049 10187 "ABELMON-" 10192 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 9313 9685 9711 "ABELGRP" 9783 T ABELGRP (NIL) -9 NIL 9858 NIL) (-20 8776 8905 9121 "ABELGRP-" 9126 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4333 8085 8124 "A1AGG" 8129 NIL A1AGG (NIL T) -9 NIL 8169 NIL) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL NIL)) 
\ No newline at end of file
+((-3 3242088 3242093 3242098 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-2 3242073 3242078 3242083 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1 3242058 3242063 3242068 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (0 3242043 3242048 3242053 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1315 3241186 3241918 3241995 "ZMOD" 3242000 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1314 3240240 3240404 3240627 "ZLINDEP" 3241018 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1313 3229540 3231308 3233280 "ZDSOLVE" 3238370 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1312 3228786 3228927 3229116 "YSTREAM" 3229386 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1311 3228214 3228460 3228573 "YDIAGRAM" 3228695 T YDIAGRAM (NIL) -8 NIL NIL NIL) (-1310 3225988 3227515 3227719 "XRPOLY" 3228057 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1309 3222541 3223859 3224434 "XPR" 3225460 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1308 3220262 3221872 3222076 "XPOLY" 3222372 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1307 3217915 3219283 3219338 "XPOLYC" 3219626 NIL XPOLYC (NIL T T) -9 NIL 3219739 NIL) (-1306 3214291 3216432 3216820 "XPBWPOLY" 3217573 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1305 3209986 3212281 3212323 "XF" 3212944 NIL XF (NIL T) -9 NIL 3213344 NIL) (-1304 3209607 3209695 3209864 "XF-" 3209869 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1303 3204803 3206092 3206147 "XFALG" 3208319 NIL XFALG (NIL T T) -9 NIL 3209108 NIL) (-1302 3203936 3204040 3204245 "XEXPPKG" 3204695 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1301 3202045 3203786 3203882 "XDPOLY" 3203887 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1300 3200852 3201452 3201495 "XALG" 3201500 NIL XALG (NIL T) -9 NIL 3201611 NIL) (-1299 3194294 3198829 3199323 "WUTSET" 3200444 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1298 3192550 3193346 3193669 "WP" 3194105 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1297 3192152 3192372 3192442 "WHILEAST" 3192502 T WHILEAST (NIL) -8 NIL NIL NIL) (-1296 3191624 3191869 3191963 "WHEREAST" 3192080 T WHEREAST (NIL) -8 NIL NIL NIL) (-1295 3190510 3190708 3191003 "WFFINTBS" 3191421 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1294 3188414 3188841 3189303 "WEIER" 3190082 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1293 3187460 3187910 3187952 "VSPACE" 3188088 NIL VSPACE (NIL T) -9 NIL 3188162 NIL) (-1292 3187298 3187325 3187416 "VSPACE-" 3187421 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1291 3187107 3187149 3187217 "VOID" 3187252 T VOID (NIL) -8 NIL NIL NIL) (-1290 3185243 3185602 3186008 "VIEW" 3186723 T VIEW (NIL) -7 NIL NIL NIL) (-1289 3181667 3182306 3183043 "VIEWDEF" 3184528 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1288 3170971 3173215 3175388 "VIEW3D" 3179516 T VIEW3D (NIL) -8 NIL NIL NIL) (-1287 3163222 3164882 3166461 "VIEW2D" 3169414 T VIEW2D (NIL) -8 NIL NIL NIL) (-1286 3158575 3162992 3163084 "VECTOR" 3163165 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1285 3157152 3157411 3157729 "VECTOR2" 3158305 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1284 3150594 3154903 3154946 "VECTCAT" 3155941 NIL VECTCAT (NIL T) -9 NIL 3156528 NIL) (-1283 3149608 3149862 3150252 "VECTCAT-" 3150257 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1282 3149062 3149259 3149379 "VARIABLE" 3149523 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1281 3148995 3149000 3149030 "UTYPE" 3149035 T UTYPE (NIL) -9 NIL NIL NIL) (-1280 3147825 3147979 3148241 "UTSODETL" 3148821 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1279 3145265 3145725 3146249 "UTSODE" 3147366 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1278 3137103 3142891 3143380 "UTS" 3144834 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1277 3127667 3133037 3133080 "UTSCAT" 3134192 NIL UTSCAT (NIL T) -9 NIL 3134950 NIL) (-1276 3125015 3125737 3126726 "UTSCAT-" 3126731 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1275 3124642 3124685 3124818 "UTS2" 3124966 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1274 3118868 3121480 3121523 "URAGG" 3123593 NIL URAGG (NIL T) -9 NIL 3124316 NIL) (-1273 3115807 3116670 3117793 "URAGG-" 3117798 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1272 3111516 3114442 3114907 "UPXSSING" 3115471 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1271 3103582 3110763 3111036 "UPXS" 3111301 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1270 3096655 3103486 3103558 "UPXSCONS" 3103563 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1269 3086062 3092858 3092920 "UPXSCCA" 3093494 NIL UPXSCCA (NIL T T) -9 NIL 3093727 NIL) (-1268 3085700 3085785 3085959 "UPXSCCA-" 3085964 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1267 3074959 3081528 3081571 "UPXSCAT" 3082219 NIL UPXSCAT (NIL T) -9 NIL 3082828 NIL) (-1266 3074389 3074468 3074647 "UPXS2" 3074874 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1265 3073043 3073296 3073647 "UPSQFREE" 3074132 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1264 3066251 3069311 3069366 "UPSCAT" 3070446 NIL UPSCAT (NIL T T) -9 NIL 3071211 NIL) (-1263 3065455 3065662 3065989 "UPSCAT-" 3065994 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1262 3050818 3058676 3058719 "UPOLYC" 3060820 NIL UPOLYC (NIL T) -9 NIL 3062041 NIL) (-1261 3042146 3044572 3047719 "UPOLYC-" 3047724 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1260 3041773 3041816 3041949 "UPOLYC2" 3042097 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1259 3033495 3041456 3041585 "UP" 3041692 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1258 3032834 3032941 3033105 "UPMP" 3033384 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1257 3032387 3032468 3032607 "UPDIVP" 3032747 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1256 3030955 3031204 3031520 "UPDECOMP" 3032136 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1255 3030186 3030298 3030484 "UPCDEN" 3030839 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1254 3029705 3029774 3029923 "UP2" 3030111 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1253 3028172 3028909 3029186 "UNISEG" 3029463 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1252 3027387 3027514 3027719 "UNISEG2" 3028015 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1251 3026447 3026627 3026853 "UNIFACT" 3027203 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1250 3010208 3025624 3025875 "ULS" 3026254 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1249 2998071 3010112 3010184 "ULSCONS" 3010189 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1248 2979370 2991495 2991557 "ULSCCAT" 2992195 NIL ULSCCAT (NIL T T) -9 NIL 2992484 NIL) (-1247 2978420 2978665 2979053 "ULSCCAT-" 2979058 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1246 2967484 2973967 2974010 "ULSCAT" 2974873 NIL ULSCAT (NIL T) -9 NIL 2975604 NIL) (-1245 2966914 2966993 2967172 "ULS2" 2967399 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1244 2966033 2966543 2966650 "UINT8" 2966761 T UINT8 (NIL) -8 NIL NIL 2966846) (-1243 2965151 2965661 2965768 "UINT64" 2965879 T UINT64 (NIL) -8 NIL NIL 2965964) (-1242 2964269 2964779 2964886 "UINT32" 2964997 T UINT32 (NIL) -8 NIL NIL 2965082) (-1241 2963387 2963897 2964004 "UINT16" 2964115 T UINT16 (NIL) -8 NIL NIL 2964200) (-1240 2961690 2962647 2962677 "UFD" 2962889 T UFD (NIL) -9 NIL 2963003 NIL) (-1239 2961484 2961530 2961625 "UFD-" 2961630 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1238 2960566 2960749 2960965 "UDVO" 2961290 T UDVO (NIL) -7 NIL NIL NIL) (-1237 2958382 2958791 2959262 "UDPO" 2960130 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1236 2958315 2958320 2958350 "TYPE" 2958355 T TYPE (NIL) -9 NIL NIL NIL) (-1235 2958075 2958270 2958301 "TYPEAST" 2958306 T TYPEAST (NIL) -8 NIL NIL NIL) (-1234 2957046 2957248 2957488 "TWOFACT" 2957869 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1233 2956069 2956455 2956690 "TUPLE" 2956846 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1232 2953760 2954279 2954818 "TUBETOOL" 2955552 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1231 2952609 2952814 2953055 "TUBE" 2953553 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1230 2947338 2951581 2951864 "TS" 2952361 NIL TS (NIL T) -8 NIL NIL NIL) (-1229 2935978 2940097 2940194 "TSETCAT" 2945463 NIL TSETCAT (NIL T T T T) -9 NIL 2946994 NIL) (-1228 2930710 2932310 2934201 "TSETCAT-" 2934206 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1227 2925349 2926196 2927125 "TRMANIP" 2929846 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1226 2924790 2924853 2925016 "TRIMAT" 2925281 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1225 2922656 2922893 2923250 "TRIGMNIP" 2924539 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1224 2922176 2922289 2922319 "TRIGCAT" 2922532 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1223 2921845 2921924 2922065 "TRIGCAT-" 2922070 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1222 2918690 2920703 2920984 "TREE" 2921599 NIL TREE (NIL T) -8 NIL NIL NIL) (-1221 2917964 2918492 2918522 "TRANFUN" 2918557 T TRANFUN (NIL) -9 NIL 2918623 NIL) (-1220 2917243 2917434 2917714 "TRANFUN-" 2917719 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1219 2917047 2917079 2917140 "TOPSP" 2917204 T TOPSP (NIL) -7 NIL NIL NIL) (-1218 2916395 2916510 2916664 "TOOLSIGN" 2916928 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1217 2915029 2915572 2915811 "TEXTFILE" 2916178 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1216 2912941 2913482 2913911 "TEX" 2914622 T TEX (NIL) -8 NIL NIL NIL) (-1215 2912722 2912753 2912825 "TEX1" 2912904 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1214 2912370 2912433 2912523 "TEMUTL" 2912654 T TEMUTL (NIL) -7 NIL NIL NIL) (-1213 2910524 2910804 2911129 "TBCMPPK" 2912093 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1212 2902301 2908684 2908740 "TBAGG" 2909140 NIL TBAGG (NIL T T) -9 NIL 2909351 NIL) (-1211 2897371 2898859 2900613 "TBAGG-" 2900618 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1210 2896755 2896862 2897007 "TANEXP" 2897260 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1209 2896266 2896530 2896620 "TALGOP" 2896700 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1208 2889656 2896123 2896216 "TABLE" 2896221 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1207 2889068 2889167 2889305 "TABLEAU" 2889553 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1206 2883676 2884896 2886144 "TABLBUMP" 2887854 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1205 2882898 2883045 2883226 "SYSTEM" 2883517 T SYSTEM (NIL) -8 NIL NIL NIL) (-1204 2879357 2880056 2880839 "SYSSOLP" 2882149 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1203 2879155 2879312 2879343 "SYSPTR" 2879348 T SYSPTR (NIL) -8 NIL NIL NIL) (-1202 2878191 2878696 2878815 "SYSNNI" 2879001 NIL SYSNNI (NIL NIL) -8 NIL NIL 2879086) (-1201 2877490 2877949 2878028 "SYSINT" 2878088 NIL SYSINT (NIL NIL) -8 NIL NIL 2878133) (-1200 2873822 2874768 2875478 "SYNTAX" 2876802 T SYNTAX (NIL) -8 NIL NIL NIL) (-1199 2870980 2871582 2872214 "SYMTAB" 2873212 T SYMTAB (NIL) -8 NIL NIL NIL) (-1198 2866229 2867131 2868114 "SYMS" 2870019 T SYMS (NIL) -8 NIL NIL NIL) (-1197 2863464 2865687 2865917 "SYMPOLY" 2866034 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1196 2862981 2863056 2863179 "SYMFUNC" 2863376 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1195 2859001 2860293 2861106 "SYMBOL" 2862190 T SYMBOL (NIL) -8 NIL NIL NIL) (-1194 2852540 2854229 2855949 "SWITCH" 2857303 T SWITCH (NIL) -8 NIL NIL NIL) (-1193 2845774 2851361 2851664 "SUTS" 2852295 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1192 2837840 2845021 2845294 "SUPXS" 2845559 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1191 2829510 2837458 2837584 "SUP" 2837749 NIL SUP (NIL T) -8 NIL NIL NIL) (-1190 2828669 2828796 2829013 "SUPFRACF" 2829378 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1189 2828290 2828349 2828462 "SUP2" 2828604 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1188 2826738 2827012 2827368 "SUMRF" 2827989 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1187 2826073 2826139 2826331 "SUMFS" 2826659 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1186 2809869 2825250 2825501 "SULS" 2825880 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1185 2809471 2809691 2809761 "SUCHTAST" 2809821 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1184 2808766 2808996 2809136 "SUCH" 2809379 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1183 2802633 2803672 2804631 "SUBSPACE" 2807854 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1182 2802063 2802153 2802317 "SUBRESP" 2802521 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1181 2795431 2796728 2798039 "STTF" 2800799 NIL STTF (NIL T) -7 NIL NIL NIL) (-1180 2789604 2790724 2791871 "STTFNC" 2794331 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1179 2780917 2782786 2784580 "STTAYLOR" 2787845 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1178 2774047 2780781 2780864 "STRTBL" 2780869 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1177 2769411 2774002 2774033 "STRING" 2774038 T STRING (NIL) -8 NIL NIL NIL) (-1176 2764240 2768754 2768784 "STRICAT" 2768843 T STRICAT (NIL) -9 NIL 2768905 NIL) (-1175 2756993 2761859 2762470 "STREAM" 2763664 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1174 2756503 2756580 2756724 "STREAM3" 2756910 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1173 2755485 2755668 2755903 "STREAM2" 2756316 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1172 2755173 2755225 2755318 "STREAM1" 2755427 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1171 2754189 2754370 2754601 "STINPROD" 2754989 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1170 2753741 2753951 2753981 "STEP" 2754061 T STEP (NIL) -9 NIL 2754139 NIL) (-1169 2752928 2753230 2753378 "STEPAST" 2753615 T STEPAST (NIL) -8 NIL NIL NIL) (-1168 2746360 2752827 2752904 "STBL" 2752909 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1167 2741455 2745551 2745594 "STAGG" 2745747 NIL STAGG (NIL T) -9 NIL 2745836 NIL) (-1166 2739157 2739759 2740631 "STAGG-" 2740636 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1165 2737304 2738927 2739019 "STACK" 2739100 NIL STACK (NIL T) -8 NIL NIL NIL) (-1164 2729999 2735445 2735901 "SREGSET" 2736934 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1163 2722424 2723793 2725306 "SRDCMPK" 2728605 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1162 2715309 2719834 2719864 "SRAGG" 2721167 T SRAGG (NIL) -9 NIL 2721775 NIL) (-1161 2714326 2714581 2714960 "SRAGG-" 2714965 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1160 2708697 2713273 2713694 "SQMATRIX" 2713952 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1159 2702382 2705415 2706142 "SPLTREE" 2708042 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1158 2698345 2699038 2699684 "SPLNODE" 2701808 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1157 2697392 2697625 2697655 "SPFCAT" 2698099 T SPFCAT (NIL) -9 NIL NIL NIL) (-1156 2696129 2696339 2696603 "SPECOUT" 2697150 T SPECOUT (NIL) -7 NIL NIL NIL) (-1155 2687239 2689111 2689141 "SPADXPT" 2693817 T SPADXPT (NIL) -9 NIL 2695981 NIL) (-1154 2687000 2687040 2687109 "SPADPRSR" 2687192 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1153 2685049 2686955 2686986 "SPADAST" 2686991 T SPADAST (NIL) -8 NIL NIL NIL) (-1152 2676994 2678767 2678810 "SPACEC" 2683183 NIL SPACEC (NIL T) -9 NIL 2684999 NIL) (-1151 2675124 2676926 2676975 "SPACE3" 2676980 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1150 2673876 2674047 2674338 "SORTPAK" 2674929 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1149 2671968 2672271 2672683 "SOLVETRA" 2673540 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1148 2671018 2671240 2671501 "SOLVESER" 2671741 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1147 2666322 2667210 2668205 "SOLVERAD" 2670070 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1146 2662137 2662746 2663475 "SOLVEFOR" 2665689 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1145 2656407 2661486 2661583 "SNTSCAT" 2661588 NIL SNTSCAT (NIL T T T T) -9 NIL 2661658 NIL) (-1144 2650513 2654730 2655121 "SMTS" 2656097 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1143 2645109 2650401 2650478 "SMP" 2650483 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1142 2643268 2643569 2643967 "SMITH" 2644806 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1141 2635710 2639997 2640100 "SMATCAT" 2641451 NIL SMATCAT (NIL NIL T T T) -9 NIL 2642001 NIL) (-1140 2632428 2633313 2634571 "SMATCAT-" 2634576 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1139 2630094 2631664 2631707 "SKAGG" 2631968 NIL SKAGG (NIL T) -9 NIL 2632103 NIL) (-1138 2626370 2629567 2629751 "SINT" 2629903 T SINT (NIL) -8 NIL NIL 2630065) (-1137 2626142 2626180 2626246 "SIMPAN" 2626326 T SIMPAN (NIL) -7 NIL NIL NIL) (-1136 2625421 2625677 2625817 "SIG" 2626024 T SIG (NIL) -8 NIL NIL NIL) (-1135 2624259 2624480 2624755 "SIGNRF" 2625180 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1134 2623092 2623243 2623527 "SIGNEF" 2624088 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1133 2622398 2622675 2622799 "SIGAST" 2622990 T SIGAST (NIL) -8 NIL NIL NIL) (-1132 2620088 2620542 2621048 "SHP" 2621939 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1131 2614093 2619989 2620065 "SHDP" 2620070 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1130 2613666 2613858 2613888 "SGROUP" 2613981 T SGROUP (NIL) -9 NIL 2614043 NIL) (-1129 2613524 2613550 2613623 "SGROUP-" 2613628 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1128 2610315 2611013 2611736 "SGCF" 2612823 T SGCF (NIL) -7 NIL NIL NIL) (-1127 2604683 2609762 2609859 "SFRTCAT" 2609864 NIL SFRTCAT (NIL T T T T) -9 NIL 2609903 NIL) (-1126 2598104 2599122 2600258 "SFRGCD" 2603666 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1125 2591230 2592303 2593489 "SFQCMPK" 2597037 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1124 2590850 2590939 2591050 "SFORT" 2591171 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1123 2589968 2590690 2590811 "SEXOF" 2590816 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1122 2589075 2589849 2589917 "SEX" 2589922 T SEX (NIL) -8 NIL NIL NIL) (-1121 2584856 2585571 2585666 "SEXCAT" 2588288 NIL SEXCAT (NIL T T T T T) -9 NIL 2588848 NIL) (-1120 2582009 2584790 2584838 "SET" 2584843 NIL SET (NIL T) -8 NIL NIL NIL) (-1119 2580233 2580722 2581027 "SETMN" 2581750 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1118 2579729 2579881 2579911 "SETCAT" 2580087 T SETCAT (NIL) -9 NIL 2580197 NIL) (-1117 2579421 2579499 2579629 "SETCAT-" 2579634 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1116 2575782 2577882 2577925 "SETAGG" 2578795 NIL SETAGG (NIL T) -9 NIL 2579135 NIL) (-1115 2575240 2575356 2575593 "SETAGG-" 2575598 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1114 2574683 2574936 2575037 "SEQAST" 2575161 T SEQAST (NIL) -8 NIL NIL NIL) (-1113 2573882 2574176 2574237 "SEGXCAT" 2574523 NIL SEGXCAT (NIL T T) -9 NIL 2574643 NIL) (-1112 2572888 2573548 2573730 "SEG" 2573735 NIL SEG (NIL T) -8 NIL NIL NIL) (-1111 2571867 2572081 2572124 "SEGCAT" 2572646 NIL SEGCAT (NIL T) -9 NIL 2572867 NIL) (-1110 2570799 2571230 2571438 "SEGBIND" 2571694 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1109 2570420 2570479 2570592 "SEGBIND2" 2570734 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1108 2569993 2570221 2570298 "SEGAST" 2570365 T SEGAST (NIL) -8 NIL NIL NIL) (-1107 2569212 2569338 2569542 "SEG2" 2569837 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1106 2568583 2569147 2569194 "SDVAR" 2569199 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1105 2561021 2568353 2568483 "SDPOL" 2568488 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1104 2559614 2559880 2560199 "SCPKG" 2560736 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1103 2558778 2558950 2559142 "SCOPE" 2559444 T SCOPE (NIL) -8 NIL NIL NIL) (-1102 2557998 2558132 2558311 "SCACHE" 2558633 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1101 2557644 2557830 2557860 "SASTCAT" 2557865 T SASTCAT (NIL) -9 NIL 2557878 NIL) (-1100 2557131 2557479 2557555 "SAOS" 2557590 T SAOS (NIL) -8 NIL NIL NIL) (-1099 2556696 2556731 2556904 "SAERFFC" 2557090 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1098 2550546 2556593 2556673 "SAE" 2556678 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1097 2550139 2550174 2550333 "SAEFACT" 2550505 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1096 2548460 2548774 2549175 "RURPK" 2549805 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1095 2547097 2547403 2547708 "RULESET" 2548294 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1094 2544320 2544850 2545308 "RULE" 2546778 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1093 2543932 2544114 2544197 "RULECOLD" 2544272 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1092 2543722 2543750 2543821 "RTVALUE" 2543883 T RTVALUE (NIL) -8 NIL NIL NIL) (-1091 2543193 2543439 2543533 "RSTRCAST" 2543650 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1090 2538041 2538836 2539756 "RSETGCD" 2542392 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1089 2527271 2532350 2532447 "RSETCAT" 2536566 NIL RSETCAT (NIL T T T T) -9 NIL 2537663 NIL) (-1088 2525198 2525737 2526561 "RSETCAT-" 2526566 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1087 2517584 2518960 2520480 "RSDCMPK" 2523797 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1086 2515563 2516030 2516104 "RRCC" 2517190 NIL RRCC (NIL T T) -9 NIL 2517534 NIL) (-1085 2514914 2515088 2515367 "RRCC-" 2515372 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1084 2514357 2514610 2514711 "RPTAST" 2514835 T RPTAST (NIL) -8 NIL NIL NIL) (-1083 2488020 2497469 2497536 "RPOLCAT" 2508202 NIL RPOLCAT (NIL T T T) -9 NIL 2511362 NIL) (-1082 2479518 2481858 2484980 "RPOLCAT-" 2484985 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1081 2470449 2477729 2478211 "ROUTINE" 2479058 T ROUTINE (NIL) -8 NIL NIL NIL) (-1080 2467196 2470075 2470215 "ROMAN" 2470331 T ROMAN (NIL) -8 NIL NIL NIL) (-1079 2465440 2466056 2466316 "ROIRC" 2467001 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1078 2461672 2463956 2463986 "RNS" 2464290 T RNS (NIL) -9 NIL 2464564 NIL) (-1077 2460181 2460564 2461098 "RNS-" 2461173 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1076 2459584 2459992 2460022 "RNG" 2460027 T RNG (NIL) -9 NIL 2460048 NIL) (-1075 2458587 2458949 2459151 "RNGBIND" 2459435 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1074 2457986 2458374 2458417 "RMODULE" 2458422 NIL RMODULE (NIL T) -9 NIL 2458449 NIL) (-1073 2456822 2456916 2457252 "RMCAT2" 2457887 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1072 2453672 2456168 2456465 "RMATRIX" 2456584 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1071 2446499 2448759 2448874 "RMATCAT" 2452233 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2453215 NIL) (-1070 2445874 2446021 2446328 "RMATCAT-" 2446333 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1069 2445275 2445496 2445539 "RLINSET" 2445733 NIL RLINSET (NIL T) -9 NIL 2445824 NIL) (-1068 2444842 2444917 2445045 "RINTERP" 2445194 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1067 2443900 2444454 2444484 "RING" 2444540 T RING (NIL) -9 NIL 2444632 NIL) (-1066 2443692 2443736 2443833 "RING-" 2443838 NIL RING- (NIL T) -8 NIL NIL NIL) (-1065 2442533 2442770 2443028 "RIDIST" 2443456 T RIDIST (NIL) -7 NIL NIL NIL) (-1064 2433822 2442001 2442207 "RGCHAIN" 2442381 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1063 2433172 2433578 2433619 "RGBCSPC" 2433677 NIL RGBCSPC (NIL T) -9 NIL 2433729 NIL) (-1062 2432330 2432711 2432752 "RGBCMDL" 2432984 NIL RGBCMDL (NIL T) -9 NIL 2433098 NIL) (-1061 2429324 2429938 2430608 "RF" 2431694 NIL RF (NIL T) -7 NIL NIL NIL) (-1060 2428970 2429033 2429136 "RFFACTOR" 2429255 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1059 2428695 2428730 2428827 "RFFACT" 2428929 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1058 2426812 2427176 2427558 "RFDIST" 2428335 T RFDIST (NIL) -7 NIL NIL NIL) (-1057 2426265 2426357 2426520 "RETSOL" 2426714 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1056 2425901 2425981 2426024 "RETRACT" 2426157 NIL RETRACT (NIL T) -9 NIL 2426244 NIL) (-1055 2425750 2425775 2425862 "RETRACT-" 2425867 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1054 2425352 2425572 2425642 "RETAST" 2425702 T RETAST (NIL) -8 NIL NIL NIL) (-1053 2418090 2425005 2425132 "RESULT" 2425247 T RESULT (NIL) -8 NIL NIL NIL) (-1052 2416681 2417359 2417558 "RESRING" 2417993 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1051 2416317 2416366 2416464 "RESLATC" 2416618 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1050 2416022 2416057 2416164 "REPSQ" 2416276 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1049 2413444 2414024 2414626 "REP" 2415442 T REP (NIL) -7 NIL NIL NIL) (-1048 2413141 2413176 2413287 "REPDB" 2413403 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1047 2407041 2408430 2409653 "REP2" 2411953 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1046 2403418 2404099 2404907 "REP1" 2406268 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1045 2396114 2401559 2402015 "REGSET" 2403048 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1044 2394879 2395262 2395512 "REF" 2395899 NIL REF (NIL T) -8 NIL NIL NIL) (-1043 2394256 2394359 2394526 "REDORDER" 2394763 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1042 2390224 2393469 2393696 "RECLOS" 2394084 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1041 2389276 2389457 2389672 "REALSOLV" 2390031 T REALSOLV (NIL) -7 NIL NIL NIL) (-1040 2389122 2389163 2389193 "REAL" 2389198 T REAL (NIL) -9 NIL 2389233 NIL) (-1039 2385605 2386407 2387291 "REAL0Q" 2388287 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1038 2381206 2382194 2383255 "REAL0" 2384586 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1037 2380677 2380923 2381017 "RDUCEAST" 2381134 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1036 2380082 2380154 2380361 "RDIV" 2380599 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1035 2379150 2379324 2379537 "RDIST" 2379904 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1034 2377747 2378034 2378406 "RDETRS" 2378858 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1033 2375559 2376013 2376551 "RDETR" 2377289 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1032 2374184 2374462 2374859 "RDEEFS" 2375275 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1031 2372693 2372999 2373424 "RDEEF" 2373872 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1030 2366754 2369674 2369704 "RCFIELD" 2370999 T RCFIELD (NIL) -9 NIL 2371730 NIL) (-1029 2364818 2365322 2366018 "RCFIELD-" 2366093 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1028 2361087 2362919 2362962 "RCAGG" 2364046 NIL RCAGG (NIL T) -9 NIL 2364511 NIL) (-1027 2360715 2360809 2360972 "RCAGG-" 2360977 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1026 2360050 2360162 2360327 "RATRET" 2360599 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1025 2359603 2359670 2359791 "RATFACT" 2359978 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1024 2358911 2359031 2359183 "RANDSRC" 2359473 T RANDSRC (NIL) -7 NIL NIL NIL) (-1023 2358645 2358689 2358762 "RADUTIL" 2358860 T RADUTIL (NIL) -7 NIL NIL NIL) (-1022 2351666 2357476 2357787 "RADIX" 2358368 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1021 2343182 2351508 2351638 "RADFF" 2351643 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-1020 2342829 2342904 2342934 "RADCAT" 2343094 T RADCAT (NIL) -9 NIL NIL NIL) (-1019 2342611 2342659 2342759 "RADCAT-" 2342764 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-1018 2340709 2342381 2342473 "QUEUE" 2342554 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-1017 2337157 2340642 2340690 "QUAT" 2340695 NIL QUAT (NIL T) -8 NIL NIL NIL) (-1016 2336788 2336831 2336962 "QUATCT2" 2337108 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-1015 2329872 2333308 2333350 "QUATCAT" 2334141 NIL QUATCAT (NIL T) -9 NIL 2334907 NIL) (-1014 2326011 2327048 2328438 "QUATCAT-" 2328534 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-1013 2323476 2325087 2325130 "QUAGG" 2325511 NIL QUAGG (NIL T) -9 NIL 2325686 NIL) (-1012 2323078 2323298 2323368 "QQUTAST" 2323428 T QQUTAST (NIL) -8 NIL NIL NIL) (-1011 2322091 2322591 2322756 "QFORM" 2322959 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-1010 2312815 2318143 2318185 "QFCAT" 2318853 NIL QFCAT (NIL T) -9 NIL 2319854 NIL) (-1009 2308160 2309423 2311097 "QFCAT-" 2311193 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-1008 2307791 2307834 2307965 "QFCAT2" 2308111 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-1007 2307246 2307356 2307488 "QEQUAT" 2307681 T QEQUAT (NIL) -8 NIL NIL NIL) (-1006 2300372 2301445 2302631 "QCMPACK" 2306179 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-1005 2297910 2298358 2298788 "QALGSET" 2300027 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-1004 2297145 2297321 2297557 "QALGSET2" 2297728 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-1003 2295830 2296054 2296373 "PWFFINTB" 2296918 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-1002 2294005 2294173 2294529 "PUSHVAR" 2295644 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-1001 2289894 2290948 2290991 "PTRANFN" 2292902 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-1000 2288285 2288576 2288900 "PTPACK" 2289605 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-999 2287917 2287974 2288083 "PTFUNC2" 2288222 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-998 2282362 2286759 2286800 "PTCAT" 2287096 NIL PTCAT (NIL T) -9 NIL 2287249 NIL) (-997 2282020 2282055 2282179 "PSQFR" 2282321 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-996 2280615 2280913 2281247 "PSEUDLIN" 2281718 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-995 2267378 2269749 2272073 "PSETPK" 2278375 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-994 2260396 2263136 2263232 "PSETCAT" 2266253 NIL PSETCAT (NIL T T T T) -9 NIL 2267067 NIL) (-993 2258232 2258866 2259687 "PSETCAT-" 2259692 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-992 2257581 2257746 2257774 "PSCURVE" 2258042 T PSCURVE (NIL) -9 NIL 2258209 NIL) (-991 2253579 2255095 2255160 "PSCAT" 2256004 NIL PSCAT (NIL T T T) -9 NIL 2256244 NIL) (-990 2252642 2252858 2253258 "PSCAT-" 2253263 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-989 2251001 2251711 2251974 "PRTITION" 2252399 T PRTITION (NIL) -8 NIL NIL NIL) (-988 2250476 2250722 2250814 "PRTDAST" 2250929 T PRTDAST (NIL) -8 NIL NIL NIL) (-987 2239566 2241780 2243968 "PRS" 2248338 NIL PRS (NIL T T) -7 NIL NIL NIL) (-986 2237377 2238916 2238956 "PRQAGG" 2239139 NIL PRQAGG (NIL T) -9 NIL 2239241 NIL) (-985 2236713 2237018 2237046 "PROPLOG" 2237185 T PROPLOG (NIL) -9 NIL 2237300 NIL) (-984 2236317 2236374 2236497 "PROPFUN2" 2236636 NIL PROPFUN2 (NIL T T) -8 NIL NIL NIL) (-983 2235632 2235753 2235925 "PROPFUN1" 2236178 NIL PROPFUN1 (NIL T) -8 NIL NIL NIL) (-982 2233813 2234379 2234676 "PROPFRML" 2235368 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-981 2233282 2233389 2233517 "PROPERTY" 2233705 T PROPERTY (NIL) -8 NIL NIL NIL) (-980 2227340 2231448 2232268 "PRODUCT" 2232508 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-979 2224618 2226798 2227032 "PR" 2227151 NIL PR (NIL T T) -8 NIL NIL NIL) (-978 2224414 2224446 2224505 "PRINT" 2224579 T PRINT (NIL) -7 NIL NIL NIL) (-977 2223754 2223871 2224023 "PRIMES" 2224294 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-976 2221819 2222220 2222686 "PRIMELT" 2223333 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-975 2221548 2221597 2221625 "PRIMCAT" 2221749 T PRIMCAT (NIL) -9 NIL NIL NIL) (-974 2217663 2221486 2221531 "PRIMARR" 2221536 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-973 2216670 2216848 2217076 "PRIMARR2" 2217481 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-972 2216313 2216369 2216480 "PREASSOC" 2216608 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-971 2215788 2215921 2215949 "PPCURVE" 2216154 T PPCURVE (NIL) -9 NIL 2216290 NIL) (-970 2215383 2215583 2215666 "PORTNUM" 2215725 T PORTNUM (NIL) -8 NIL NIL NIL) (-969 2212742 2213141 2213733 "POLYROOT" 2214964 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-968 2206835 2212346 2212506 "POLY" 2212615 NIL POLY (NIL T) -8 NIL NIL NIL) (-967 2206218 2206276 2206510 "POLYLIFT" 2206771 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-966 2202493 2202942 2203571 "POLYCATQ" 2205763 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-965 2189022 2194240 2194305 "POLYCAT" 2197819 NIL POLYCAT (NIL T T T) -9 NIL 2199697 NIL) (-964 2182249 2184173 2186637 "POLYCAT-" 2186642 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-963 2181836 2181904 2182024 "POLY2UP" 2182175 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-962 2181468 2181525 2181634 "POLY2" 2181773 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-961 2180153 2180392 2180668 "POLUTIL" 2181242 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-960 2178508 2178785 2179116 "POLTOPOL" 2179875 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-959 2173973 2178444 2178490 "POINT" 2178495 NIL POINT (NIL T) -8 NIL NIL NIL) (-958 2172160 2172517 2172892 "PNTHEORY" 2173618 T PNTHEORY (NIL) -7 NIL NIL NIL) (-957 2170618 2170915 2171314 "PMTOOLS" 2171858 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-956 2170211 2170289 2170406 "PMSYM" 2170534 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-955 2169719 2169788 2169963 "PMQFCAT" 2170136 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-954 2169074 2169184 2169340 "PMPRED" 2169596 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-953 2168467 2168553 2168715 "PMPREDFS" 2168975 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-952 2167131 2167339 2167717 "PMPLCAT" 2168229 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-951 2166663 2166742 2166894 "PMLSAGG" 2167046 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-950 2166136 2166212 2166394 "PMKERNEL" 2166581 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-949 2165753 2165828 2165941 "PMINS" 2166055 NIL PMINS (NIL T) -7 NIL NIL NIL) (-948 2165195 2165264 2165473 "PMFS" 2165678 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-947 2164423 2164541 2164746 "PMDOWN" 2165072 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-946 2163590 2163748 2163929 "PMASS" 2164262 T PMASS (NIL) -7 NIL NIL NIL) (-945 2162863 2162973 2163136 "PMASSFS" 2163477 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-944 2162518 2162586 2162680 "PLOTTOOL" 2162789 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-943 2157125 2158329 2159477 "PLOT" 2161390 T PLOT (NIL) -8 NIL NIL NIL) (-942 2152929 2153973 2154894 "PLOT3D" 2156224 T PLOT3D (NIL) -8 NIL NIL NIL) (-941 2151841 2152018 2152253 "PLOT1" 2152733 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-940 2127232 2131907 2136758 "PLEQN" 2147107 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-939 2126550 2126672 2126852 "PINTERP" 2127097 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-938 2126243 2126290 2126393 "PINTERPA" 2126497 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-937 2125459 2126007 2126094 "PI" 2126134 T PI (NIL) -8 NIL NIL 2126201) (-936 2123756 2124731 2124759 "PID" 2124941 T PID (NIL) -9 NIL 2125075 NIL) (-935 2123507 2123544 2123619 "PICOERCE" 2123713 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-934 2122827 2122966 2123142 "PGROEB" 2123363 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-933 2118414 2119228 2120133 "PGE" 2121942 T PGE (NIL) -7 NIL NIL NIL) (-932 2116537 2116784 2117150 "PGCD" 2118131 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-931 2115875 2115978 2116139 "PFRPAC" 2116421 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-930 2112515 2114423 2114776 "PFR" 2115554 NIL PFR (NIL T) -8 NIL NIL NIL) (-929 2110904 2111148 2111473 "PFOTOOLS" 2112262 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-928 2109437 2109676 2110027 "PFOQ" 2110661 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-927 2107938 2108150 2108506 "PFO" 2109221 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-926 2104491 2107827 2107896 "PF" 2107901 NIL PF (NIL NIL) -8 NIL NIL NIL) (-925 2101825 2103096 2103124 "PFECAT" 2103709 T PFECAT (NIL) -9 NIL 2104093 NIL) (-924 2101270 2101424 2101638 "PFECAT-" 2101643 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-923 2099873 2100125 2100426 "PFBRU" 2101019 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-922 2097739 2098091 2098523 "PFBR" 2099524 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-921 2093785 2095251 2095898 "PERM" 2097125 NIL PERM (NIL T) -8 NIL NIL NIL) (-920 2089019 2089992 2090862 "PERMGRP" 2092948 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-919 2087138 2088098 2088139 "PERMCAT" 2088539 NIL PERMCAT (NIL T) -9 NIL 2088837 NIL) (-918 2086791 2086832 2086956 "PERMAN" 2087091 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-917 2084279 2086456 2086578 "PENDTREE" 2086702 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-916 2083208 2083423 2083464 "PDSPC" 2083997 NIL PDSPC (NIL T) -9 NIL 2084242 NIL) (-915 2082311 2082529 2082891 "PDSPC-" 2082896 NIL PDSPC- (NIL T T) -8 NIL NIL NIL) (-914 2081193 2081961 2082002 "PDRING" 2082007 NIL PDRING (NIL T) -9 NIL 2082035 NIL) (-913 2078408 2079186 2079854 "PDEPROB" 2080545 T PDEPROB (NIL) -8 NIL NIL NIL) (-912 2075953 2076457 2077012 "PDEPACK" 2077873 T PDEPACK (NIL) -7 NIL NIL NIL) (-911 2074865 2075055 2075306 "PDECOMP" 2075752 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-910 2072444 2073287 2073315 "PDECAT" 2074102 T PDECAT (NIL) -9 NIL 2074815 NIL) (-909 2072073 2072128 2072182 "PDDOM" 2072347 NIL PDDOM (NIL T T) -9 NIL 2072427 NIL) (-908 2071892 2071922 2072029 "PDDOM-" 2072034 NIL PDDOM- (NIL T T T) -8 NIL NIL NIL) (-907 2071643 2071676 2071766 "PCOMP" 2071853 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-906 2069821 2070444 2070741 "PBWLB" 2071372 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-905 2062294 2063894 2065232 "PATTERN" 2068504 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-904 2061926 2061983 2062092 "PATTERN2" 2062231 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-903 2059683 2060071 2060528 "PATTERN1" 2061515 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-902 2057051 2057632 2058113 "PATRES" 2059248 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-901 2056615 2056682 2056814 "PATRES2" 2056978 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-900 2054498 2054903 2055310 "PATMATCH" 2056282 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-899 2054008 2054217 2054258 "PATMAB" 2054365 NIL PATMAB (NIL T) -9 NIL 2054448 NIL) (-898 2052526 2052862 2053120 "PATLRES" 2053813 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-897 2052072 2052195 2052236 "PATAB" 2052241 NIL PATAB (NIL T) -9 NIL 2052413 NIL) (-896 2050254 2050649 2051072 "PARTPERM" 2051669 T PARTPERM (NIL) -7 NIL NIL NIL) (-895 2049875 2049938 2050040 "PARSURF" 2050185 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-894 2049507 2049564 2049673 "PARSU2" 2049812 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-893 2049271 2049311 2049378 "PARSER" 2049460 T PARSER (NIL) -7 NIL NIL NIL) (-892 2048892 2048955 2049057 "PARSCURV" 2049202 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-891 2048524 2048581 2048690 "PARSC2" 2048829 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-890 2048163 2048221 2048318 "PARPCURV" 2048460 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-889 2047795 2047852 2047961 "PARPC2" 2048100 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-888 2046856 2047168 2047350 "PARAMAST" 2047633 T PARAMAST (NIL) -8 NIL NIL NIL) (-887 2046376 2046462 2046581 "PAN2EXPR" 2046757 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-886 2045153 2045497 2045725 "PALETTE" 2046168 T PALETTE (NIL) -8 NIL NIL NIL) (-885 2043546 2044158 2044518 "PAIR" 2044839 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-884 2037325 2042803 2042998 "PADICRC" 2043400 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-883 2030449 2036669 2036854 "PADICRAT" 2037172 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-882 2028764 2030386 2030431 "PADIC" 2030436 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-881 2025874 2027438 2027478 "PADICCT" 2028059 NIL PADICCT (NIL NIL) -9 NIL 2028341 NIL) (-880 2024831 2025031 2025299 "PADEPAC" 2025661 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-879 2024043 2024176 2024382 "PADE" 2024693 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-878 2022430 2023251 2023531 "OWP" 2023847 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-877 2021923 2022136 2022233 "OVERSET" 2022353 T OVERSET (NIL) -8 NIL NIL NIL) (-876 2020969 2021528 2021700 "OVAR" 2021791 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-875 2020233 2020354 2020515 "OUT" 2020828 T OUT (NIL) -7 NIL NIL NIL) (-874 2009105 2011342 2013542 "OUTFORM" 2018053 T OUTFORM (NIL) -8 NIL NIL NIL) (-873 2008441 2008702 2008829 "OUTBFILE" 2008998 T OUTBFILE (NIL) -8 NIL NIL NIL) (-872 2007748 2007913 2007941 "OUTBCON" 2008259 T OUTBCON (NIL) -9 NIL 2008425 NIL) (-871 2007349 2007461 2007618 "OUTBCON-" 2007623 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-870 2006729 2007078 2007167 "OSI" 2007280 T OSI (NIL) -8 NIL NIL NIL) (-869 2006259 2006597 2006625 "OSGROUP" 2006630 T OSGROUP (NIL) -9 NIL 2006652 NIL) (-868 2005004 2005231 2005516 "ORTHPOL" 2006006 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-867 2002555 2004839 2004960 "OREUP" 2004965 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-866 1999958 2002246 2002373 "ORESUP" 2002497 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-865 1997486 1997986 1998547 "OREPCTO" 1999447 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-864 1991172 1993373 1993414 "OREPCAT" 1995762 NIL OREPCAT (NIL T) -9 NIL 1996866 NIL) (-863 1988319 1989101 1990159 "OREPCAT-" 1990164 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-862 1987470 1987768 1987796 "ORDSET" 1988105 T ORDSET (NIL) -9 NIL 1988269 NIL) (-861 1986901 1987049 1987273 "ORDSET-" 1987278 NIL ORDSET- (NIL T) -8 NIL NIL NIL) (-860 1985466 1986257 1986285 "ORDRING" 1986487 T ORDRING (NIL) -9 NIL 1986612 NIL) (-859 1985111 1985205 1985349 "ORDRING-" 1985354 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-858 1984491 1984954 1984982 "ORDMON" 1984987 T ORDMON (NIL) -9 NIL 1985008 NIL) (-857 1983653 1983800 1983995 "ORDFUNS" 1984340 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-856 1982991 1983410 1983438 "ORDFIN" 1983503 T ORDFIN (NIL) -9 NIL 1983577 NIL) (-855 1979550 1981577 1981986 "ORDCOMP" 1982615 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-854 1978816 1978943 1979129 "ORDCOMP2" 1979410 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-853 1975397 1976307 1977121 "OPTPROB" 1978022 T OPTPROB (NIL) -8 NIL NIL NIL) (-852 1972199 1972838 1973542 "OPTPACK" 1974713 T OPTPACK (NIL) -7 NIL NIL NIL) (-851 1969886 1970652 1970680 "OPTCAT" 1971499 T OPTCAT (NIL) -9 NIL 1972149 NIL) (-850 1969270 1969563 1969668 "OPSIG" 1969801 T OPSIG (NIL) -8 NIL NIL NIL) (-849 1969038 1969077 1969143 "OPQUERY" 1969224 T OPQUERY (NIL) -7 NIL NIL NIL) (-848 1966169 1967349 1967853 "OP" 1968567 NIL OP (NIL T) -8 NIL NIL NIL) (-847 1965543 1965769 1965810 "OPERCAT" 1966022 NIL OPERCAT (NIL T) -9 NIL 1966119 NIL) (-846 1965298 1965354 1965471 "OPERCAT-" 1965476 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-845 1962111 1964095 1964464 "ONECOMP" 1964962 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-844 1961416 1961531 1961705 "ONECOMP2" 1961983 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-843 1960835 1960941 1961071 "OMSERVER" 1961306 T OMSERVER (NIL) -7 NIL NIL NIL) (-842 1957697 1960275 1960315 "OMSAGG" 1960376 NIL OMSAGG (NIL T) -9 NIL 1960440 NIL) (-841 1956320 1956583 1956865 "OMPKG" 1957435 T OMPKG (NIL) -7 NIL NIL NIL) (-840 1955750 1955853 1955881 "OM" 1956180 T OM (NIL) -9 NIL NIL NIL) (-839 1954297 1955299 1955468 "OMLO" 1955631 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-838 1953257 1953404 1953624 "OMEXPR" 1954123 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-837 1952548 1952803 1952939 "OMERR" 1953141 T OMERR (NIL) -8 NIL NIL NIL) (-836 1951699 1951969 1952129 "OMERRK" 1952408 T OMERRK (NIL) -8 NIL NIL NIL) (-835 1951150 1951376 1951484 "OMENC" 1951611 T OMENC (NIL) -8 NIL NIL NIL) (-834 1945045 1946230 1947401 "OMDEV" 1949999 T OMDEV (NIL) -8 NIL NIL NIL) (-833 1944114 1944285 1944479 "OMCONN" 1944871 T OMCONN (NIL) -8 NIL NIL NIL) (-832 1942635 1943611 1943639 "OINTDOM" 1943644 T OINTDOM (NIL) -9 NIL 1943665 NIL) (-831 1939973 1941323 1941660 "OFMONOID" 1942330 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-830 1939345 1939910 1939955 "ODVAR" 1939960 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-829 1936768 1939090 1939245 "ODR" 1939250 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-828 1929260 1936544 1936670 "ODPOL" 1936675 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-827 1923235 1929132 1929237 "ODP" 1929242 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-826 1922001 1922216 1922491 "ODETOOLS" 1923009 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-825 1918968 1919626 1920342 "ODESYS" 1921334 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-824 1913850 1914758 1915783 "ODERTRIC" 1918043 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-823 1913276 1913358 1913552 "ODERED" 1913762 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-822 1910164 1910712 1911389 "ODERAT" 1912699 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-821 1907123 1907588 1908185 "ODEPRRIC" 1909693 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-820 1905066 1905662 1906148 "ODEPROB" 1906657 T ODEPROB (NIL) -8 NIL NIL NIL) (-819 1901586 1902071 1902718 "ODEPRIM" 1904545 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-818 1900835 1900937 1901197 "ODEPAL" 1901478 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-817 1896997 1897788 1898652 "ODEPACK" 1899991 T ODEPACK (NIL) -7 NIL NIL NIL) (-816 1896058 1896165 1896387 "ODEINT" 1896886 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-815 1890159 1891584 1893031 "ODEIFTBL" 1894631 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-814 1885557 1886343 1887295 "ODEEF" 1889318 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-813 1884906 1884995 1885218 "ODECONST" 1885462 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-812 1883031 1883692 1883720 "ODECAT" 1884325 T ODECAT (NIL) -9 NIL 1884856 NIL) (-811 1879886 1882736 1882858 "OCT" 1882941 NIL OCT (NIL T) -8 NIL NIL NIL) (-810 1879524 1879567 1879694 "OCTCT2" 1879837 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-809 1874135 1876570 1876610 "OC" 1877707 NIL OC (NIL T) -9 NIL 1878565 NIL) (-808 1871362 1872110 1873100 "OC-" 1873194 NIL OC- (NIL T T) -8 NIL NIL NIL) (-807 1870714 1871182 1871210 "OCAMON" 1871215 T OCAMON (NIL) -9 NIL 1871236 NIL) (-806 1870245 1870586 1870614 "OASGP" 1870619 T OASGP (NIL) -9 NIL 1870639 NIL) (-805 1869506 1869995 1870023 "OAMONS" 1870063 T OAMONS (NIL) -9 NIL 1870106 NIL) (-804 1868920 1869353 1869381 "OAMON" 1869386 T OAMON (NIL) -9 NIL 1869406 NIL) (-803 1868178 1868696 1868724 "OAGROUP" 1868729 T OAGROUP (NIL) -9 NIL 1868749 NIL) (-802 1867868 1867918 1868006 "NUMTUBE" 1868122 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-801 1861441 1862959 1864495 "NUMQUAD" 1866352 T NUMQUAD (NIL) -7 NIL NIL NIL) (-800 1857197 1858185 1859210 "NUMODE" 1860436 T NUMODE (NIL) -7 NIL NIL NIL) (-799 1854552 1855432 1855460 "NUMINT" 1856383 T NUMINT (NIL) -9 NIL 1857147 NIL) (-798 1853500 1853697 1853915 "NUMFMT" 1854354 T NUMFMT (NIL) -7 NIL NIL NIL) (-797 1839859 1842804 1845336 "NUMERIC" 1851007 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-796 1834229 1839308 1839403 "NTSCAT" 1839408 NIL NTSCAT (NIL T T T T) -9 NIL 1839447 NIL) (-795 1833423 1833588 1833781 "NTPOLFN" 1834068 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-794 1821411 1830248 1831060 "NSUP" 1832644 NIL NSUP (NIL T) -8 NIL NIL NIL) (-793 1821043 1821100 1821209 "NSUP2" 1821348 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-792 1811180 1820817 1820950 "NSMP" 1820955 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-791 1809612 1809913 1810270 "NREP" 1810868 NIL NREP (NIL T) -7 NIL NIL NIL) (-790 1808203 1808455 1808813 "NPCOEF" 1809355 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-789 1807269 1807384 1807600 "NORMRETR" 1808084 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-788 1805310 1805600 1806009 "NORMPK" 1806977 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-787 1804995 1805023 1805147 "NORMMA" 1805276 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-786 1804795 1804952 1804981 "NONE" 1804986 T NONE (NIL) -8 NIL NIL NIL) (-785 1804584 1804613 1804682 "NONE1" 1804759 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-784 1804081 1804143 1804322 "NODE1" 1804516 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-783 1802362 1803213 1803468 "NNI" 1803815 T NNI (NIL) -8 NIL NIL 1804050) (-782 1800782 1801095 1801459 "NLINSOL" 1802030 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-781 1797023 1798018 1798917 "NIPROB" 1799903 T NIPROB (NIL) -8 NIL NIL NIL) (-780 1795780 1796014 1796316 "NFINTBAS" 1796785 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-779 1794954 1795430 1795471 "NETCLT" 1795643 NIL NETCLT (NIL T) -9 NIL 1795725 NIL) (-778 1793662 1793893 1794174 "NCODIV" 1794722 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-777 1793424 1793461 1793536 "NCNTFRAC" 1793619 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-776 1791604 1791968 1792388 "NCEP" 1793049 NIL NCEP (NIL T) -7 NIL NIL NIL) (-775 1790455 1791228 1791256 "NASRING" 1791366 T NASRING (NIL) -9 NIL 1791446 NIL) (-774 1790250 1790294 1790388 "NASRING-" 1790393 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-773 1789357 1789882 1789910 "NARNG" 1790027 T NARNG (NIL) -9 NIL 1790118 NIL) (-772 1789049 1789116 1789250 "NARNG-" 1789255 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-771 1787928 1788135 1788370 "NAGSP" 1788834 T NAGSP (NIL) -7 NIL NIL NIL) (-770 1779200 1780884 1782557 "NAGS" 1786275 T NAGS (NIL) -7 NIL NIL NIL) (-769 1777748 1778056 1778387 "NAGF07" 1778889 T NAGF07 (NIL) -7 NIL NIL NIL) (-768 1772286 1773577 1774884 "NAGF04" 1776461 T NAGF04 (NIL) -7 NIL NIL NIL) (-767 1765254 1766868 1768501 "NAGF02" 1770673 T NAGF02 (NIL) -7 NIL NIL NIL) (-766 1760478 1761578 1762695 "NAGF01" 1764157 T NAGF01 (NIL) -7 NIL NIL NIL) (-765 1754106 1755672 1757257 "NAGE04" 1758913 T NAGE04 (NIL) -7 NIL NIL NIL) (-764 1745275 1747396 1749526 "NAGE02" 1751996 T NAGE02 (NIL) -7 NIL NIL NIL) (-763 1741228 1742175 1743139 "NAGE01" 1744331 T NAGE01 (NIL) -7 NIL NIL NIL) (-762 1739023 1739557 1740115 "NAGD03" 1740690 T NAGD03 (NIL) -7 NIL NIL NIL) (-761 1730773 1732701 1734655 "NAGD02" 1737089 T NAGD02 (NIL) -7 NIL NIL NIL) (-760 1724584 1726009 1727449 "NAGD01" 1729353 T NAGD01 (NIL) -7 NIL NIL NIL) (-759 1720793 1721615 1722452 "NAGC06" 1723767 T NAGC06 (NIL) -7 NIL NIL NIL) (-758 1719258 1719590 1719946 "NAGC05" 1720457 T NAGC05 (NIL) -7 NIL NIL NIL) (-757 1718634 1718753 1718897 "NAGC02" 1719134 T NAGC02 (NIL) -7 NIL NIL NIL) (-756 1717593 1718176 1718216 "NAALG" 1718295 NIL NAALG (NIL T) -9 NIL 1718356 NIL) (-755 1717428 1717457 1717547 "NAALG-" 1717552 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-754 1711378 1712486 1713673 "MULTSQFR" 1716324 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-753 1710697 1710772 1710956 "MULTFACT" 1711290 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-752 1703368 1707282 1707335 "MTSCAT" 1708405 NIL MTSCAT (NIL T T) -9 NIL 1708920 NIL) (-751 1703080 1703134 1703226 "MTHING" 1703308 NIL MTHING (NIL T) -7 NIL NIL NIL) (-750 1702872 1702905 1702965 "MSYSCMD" 1703040 T MSYSCMD (NIL) -7 NIL NIL NIL) (-749 1698954 1701627 1701947 "MSET" 1702585 NIL MSET (NIL T) -8 NIL NIL NIL) (-748 1696023 1698515 1698556 "MSETAGG" 1698561 NIL MSETAGG (NIL T) -9 NIL 1698595 NIL) (-747 1691865 1693402 1694147 "MRING" 1695323 NIL MRING (NIL T T) -8 NIL NIL NIL) (-746 1691431 1691498 1691629 "MRF2" 1691792 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-745 1691049 1691084 1691228 "MRATFAC" 1691390 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-744 1688661 1688956 1689387 "MPRFF" 1690754 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-743 1682869 1688515 1688612 "MPOLY" 1688617 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-742 1682359 1682394 1682602 "MPCPF" 1682828 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-741 1681873 1681916 1682100 "MPC3" 1682310 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-740 1681068 1681149 1681370 "MPC2" 1681788 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-739 1679369 1679706 1680096 "MONOTOOL" 1680728 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-738 1678594 1678911 1678939 "MONOID" 1679158 T MONOID (NIL) -9 NIL 1679305 NIL) (-737 1678140 1678259 1678440 "MONOID-" 1678445 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-736 1668048 1674090 1674149 "MONOGEN" 1674823 NIL MONOGEN (NIL T T) -9 NIL 1675279 NIL) (-735 1665266 1666001 1667001 "MONOGEN-" 1667120 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-734 1664099 1664545 1664573 "MONADWU" 1664965 T MONADWU (NIL) -9 NIL 1665203 NIL) (-733 1663471 1663630 1663878 "MONADWU-" 1663883 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-732 1662830 1663074 1663102 "MONAD" 1663309 T MONAD (NIL) -9 NIL 1663421 NIL) (-731 1662515 1662593 1662725 "MONAD-" 1662730 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-730 1660804 1661428 1661707 "MOEBIUS" 1662268 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-729 1660082 1660486 1660526 "MODULE" 1660531 NIL MODULE (NIL T) -9 NIL 1660570 NIL) (-728 1659650 1659746 1659936 "MODULE-" 1659941 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-727 1657330 1658014 1658341 "MODRING" 1659474 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-726 1654274 1655435 1655956 "MODOP" 1656859 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-725 1652862 1653341 1653618 "MODMONOM" 1654137 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-724 1642817 1651153 1651567 "MODMON" 1652499 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-723 1639973 1641661 1641937 "MODFIELD" 1642692 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-722 1638950 1639254 1639444 "MMLFORM" 1639803 T MMLFORM (NIL) -8 NIL NIL NIL) (-721 1638476 1638519 1638698 "MMAP" 1638901 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-720 1636555 1637322 1637363 "MLO" 1637786 NIL MLO (NIL T) -9 NIL 1638028 NIL) (-719 1633921 1634437 1635039 "MLIFT" 1636036 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-718 1633312 1633396 1633550 "MKUCFUNC" 1633832 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-717 1632911 1632981 1633104 "MKRECORD" 1633235 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-716 1631958 1632120 1632348 "MKFUNC" 1632722 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-715 1631346 1631450 1631606 "MKFLCFN" 1631841 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-714 1630623 1630725 1630910 "MKBCFUNC" 1631239 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-713 1627298 1630177 1630313 "MINT" 1630507 T MINT (NIL) -8 NIL NIL NIL) (-712 1626110 1626353 1626630 "MHROWRED" 1627053 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-711 1621490 1624645 1625050 "MFLOAT" 1625725 T MFLOAT (NIL) -8 NIL NIL NIL) (-710 1620847 1620923 1621094 "MFINFACT" 1621402 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-709 1617162 1618010 1618894 "MESH" 1619983 T MESH (NIL) -7 NIL NIL NIL) (-708 1615552 1615864 1616217 "MDDFACT" 1616849 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-707 1612347 1614711 1614752 "MDAGG" 1615007 NIL MDAGG (NIL T) -9 NIL 1615150 NIL) (-706 1601994 1611640 1611847 "MCMPLX" 1612160 T MCMPLX (NIL) -8 NIL NIL NIL) (-705 1601131 1601277 1601478 "MCDEN" 1601843 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-704 1599021 1599291 1599671 "MCALCFN" 1600861 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-703 1597946 1598186 1598419 "MAYBE" 1598827 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-702 1595558 1596081 1596643 "MATSTOR" 1597417 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-701 1591515 1594930 1595178 "MATRIX" 1595343 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-700 1587281 1587988 1588724 "MATLIN" 1590872 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-699 1577387 1580573 1580650 "MATCAT" 1585530 NIL MATCAT (NIL T T T) -9 NIL 1586947 NIL) (-698 1573743 1574764 1576120 "MATCAT-" 1576125 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-697 1572337 1572490 1572823 "MATCAT2" 1573578 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-696 1570449 1570773 1571157 "MAPPKG3" 1572012 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-695 1569430 1569603 1569825 "MAPPKG2" 1570273 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-694 1567929 1568213 1568540 "MAPPKG1" 1569136 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-693 1567008 1567335 1567512 "MAPPAST" 1567772 T MAPPAST (NIL) -8 NIL NIL NIL) (-692 1566619 1566677 1566800 "MAPHACK3" 1566944 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-691 1566211 1566272 1566386 "MAPHACK2" 1566551 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-690 1565649 1565752 1565894 "MAPHACK1" 1566102 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-689 1563728 1564349 1564653 "MAGMA" 1565377 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-688 1563207 1563452 1563543 "MACROAST" 1563657 T MACROAST (NIL) -8 NIL NIL NIL) (-687 1559625 1561446 1561907 "M3D" 1562779 NIL M3D (NIL T) -8 NIL NIL NIL) (-686 1553700 1557964 1558005 "LZSTAGG" 1558787 NIL LZSTAGG (NIL T) -9 NIL 1559082 NIL) (-685 1549658 1550831 1552288 "LZSTAGG-" 1552293 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-684 1546745 1547549 1548036 "LWORD" 1549203 NIL LWORD (NIL T) -8 NIL NIL NIL) (-683 1546321 1546549 1546624 "LSTAST" 1546690 T LSTAST (NIL) -8 NIL NIL NIL) (-682 1539398 1546092 1546226 "LSQM" 1546231 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-681 1538622 1538761 1538989 "LSPP" 1539253 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-680 1536434 1536735 1537191 "LSMP" 1538311 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-679 1533213 1533887 1534617 "LSMP1" 1535736 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-678 1527059 1532350 1532391 "LSAGG" 1532453 NIL LSAGG (NIL T) -9 NIL 1532531 NIL) (-677 1523754 1524678 1525891 "LSAGG-" 1525896 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-676 1521353 1522898 1523147 "LPOLY" 1523549 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-675 1520935 1521020 1521143 "LPEFRAC" 1521262 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-674 1519256 1520029 1520282 "LO" 1520767 NIL LO (NIL T T T) -8 NIL NIL NIL) (-673 1518908 1519020 1519048 "LOGIC" 1519159 T LOGIC (NIL) -9 NIL 1519240 NIL) (-672 1518770 1518793 1518864 "LOGIC-" 1518869 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-671 1517963 1518103 1518296 "LODOOPS" 1518626 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-670 1515386 1517879 1517945 "LODO" 1517950 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-669 1513924 1514159 1514512 "LODOF" 1515133 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-668 1510128 1512559 1512600 "LODOCAT" 1513038 NIL LODOCAT (NIL T) -9 NIL 1513249 NIL) (-667 1509861 1509919 1510046 "LODOCAT-" 1510051 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-666 1507181 1509702 1509820 "LODO2" 1509825 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-665 1504616 1507118 1507163 "LODO1" 1507168 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-664 1503497 1503662 1503967 "LODEEF" 1504439 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-663 1498800 1501691 1501732 "LNAGG" 1502594 NIL LNAGG (NIL T) -9 NIL 1503029 NIL) (-662 1497947 1498161 1498503 "LNAGG-" 1498508 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-661 1494083 1494872 1495511 "LMOPS" 1497362 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-660 1493486 1493874 1493915 "LMODULE" 1493920 NIL LMODULE (NIL T) -9 NIL 1493946 NIL) (-659 1490684 1493131 1493254 "LMDICT" 1493396 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-658 1490090 1490311 1490352 "LLINSET" 1490543 NIL LLINSET (NIL T) -9 NIL 1490634 NIL) (-657 1489789 1489998 1490058 "LITERAL" 1490063 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-656 1482952 1488723 1489027 "LIST" 1489518 NIL LIST (NIL T) -8 NIL NIL NIL) (-655 1482477 1482551 1482690 "LIST3" 1482872 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-654 1481484 1481662 1481890 "LIST2" 1482295 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-653 1479618 1479930 1480329 "LIST2MAP" 1481131 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-652 1479214 1479451 1479492 "LINSET" 1479497 NIL LINSET (NIL T) -9 NIL 1479531 NIL) (-651 1477943 1478476 1478517 "LINEXP" 1478868 NIL LINEXP (NIL T) -9 NIL 1479059 NIL) (-650 1476520 1476780 1477091 "LINDEP" 1477695 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-649 1473287 1474006 1474783 "LIMITRF" 1475775 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-648 1471590 1471886 1472295 "LIMITPS" 1472982 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-647 1466018 1471101 1471329 "LIE" 1471411 NIL LIE (NIL T T) -8 NIL NIL NIL) (-646 1464966 1465435 1465475 "LIECAT" 1465615 NIL LIECAT (NIL T) -9 NIL 1465766 NIL) (-645 1464807 1464834 1464922 "LIECAT-" 1464927 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-644 1457394 1464347 1464503 "LIB" 1464671 T LIB (NIL) -8 NIL NIL NIL) (-643 1453029 1453912 1454847 "LGROBP" 1456511 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-642 1451027 1451301 1451651 "LF" 1452750 NIL LF (NIL T T) -7 NIL NIL NIL) (-641 1449867 1450559 1450587 "LFCAT" 1450794 T LFCAT (NIL) -9 NIL 1450933 NIL) (-640 1446769 1447399 1448087 "LEXTRIPK" 1449231 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-639 1443513 1444339 1444842 "LEXP" 1446349 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-638 1442989 1443234 1443326 "LETAST" 1443441 T LETAST (NIL) -8 NIL NIL NIL) (-637 1441387 1441700 1442101 "LEADCDET" 1442671 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-636 1440577 1440651 1440880 "LAZM3PK" 1441308 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-635 1435494 1438654 1439192 "LAUPOL" 1440089 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-634 1435073 1435117 1435278 "LAPLACE" 1435444 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-633 1433012 1434174 1434425 "LA" 1434906 NIL LA (NIL T T T) -8 NIL NIL NIL) (-632 1432006 1432590 1432631 "LALG" 1432693 NIL LALG (NIL T) -9 NIL 1432752 NIL) (-631 1431720 1431779 1431915 "LALG-" 1431920 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-630 1431555 1431579 1431620 "KVTFROM" 1431682 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-629 1430478 1430922 1431107 "KTVLOGIC" 1431390 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-628 1430313 1430337 1430378 "KRCFROM" 1430440 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-627 1429217 1429404 1429703 "KOVACIC" 1430113 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-626 1429052 1429076 1429117 "KONVERT" 1429179 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-625 1428887 1428911 1428952 "KOERCE" 1429014 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-624 1426718 1427480 1427857 "KERNEL" 1428543 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-623 1426214 1426295 1426427 "KERNEL2" 1426632 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-622 1419984 1424753 1424807 "KDAGG" 1425184 NIL KDAGG (NIL T T) -9 NIL 1425390 NIL) (-621 1419513 1419637 1419842 "KDAGG-" 1419847 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-620 1412661 1419174 1419329 "KAFILE" 1419391 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-619 1407089 1412172 1412400 "JORDAN" 1412482 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-618 1406468 1406738 1406859 "JOINAST" 1406988 T JOINAST (NIL) -8 NIL NIL NIL) (-617 1406314 1406373 1406428 "JAVACODE" 1406433 T JAVACODE (NIL) -8 NIL NIL NIL) (-616 1402566 1404519 1404573 "IXAGG" 1405502 NIL IXAGG (NIL T T) -9 NIL 1405961 NIL) (-615 1401485 1401791 1402210 "IXAGG-" 1402215 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-614 1397015 1401407 1401466 "IVECTOR" 1401471 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-613 1395781 1396018 1396284 "ITUPLE" 1396782 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-612 1394283 1394460 1394755 "ITRIGMNP" 1395603 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-611 1393028 1393232 1393515 "ITFUN3" 1394059 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-610 1392660 1392717 1392826 "ITFUN2" 1392965 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-609 1391819 1392140 1392314 "ITFORM" 1392506 T ITFORM (NIL) -8 NIL NIL NIL) (-608 1389780 1390839 1391117 "ITAYLOR" 1391574 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-607 1378725 1383917 1385080 "ISUPS" 1388650 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-606 1377829 1377969 1378205 "ISUMP" 1378572 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-605 1373204 1377774 1377815 "ISTRING" 1377820 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-604 1372680 1372925 1373017 "ISAST" 1373132 T ISAST (NIL) -8 NIL NIL NIL) (-603 1371889 1371971 1372187 "IRURPK" 1372594 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-602 1370825 1371026 1371266 "IRSN" 1371669 T IRSN (NIL) -7 NIL NIL NIL) (-601 1368896 1369251 1369680 "IRRF2F" 1370463 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-600 1368643 1368681 1368757 "IRREDFFX" 1368852 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-599 1367258 1367517 1367816 "IROOT" 1368376 NIL IROOT (NIL T) -7 NIL NIL NIL) (-598 1363862 1364942 1365634 "IR" 1366598 NIL IR (NIL T) -8 NIL NIL NIL) (-597 1363067 1363355 1363506 "IRFORM" 1363731 T IRFORM (NIL) -8 NIL NIL NIL) (-596 1360680 1361175 1361741 "IR2" 1362545 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-595 1359780 1359893 1360107 "IR2F" 1360563 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-594 1359571 1359605 1359665 "IPRNTPK" 1359740 T IPRNTPK (NIL) -7 NIL NIL NIL) (-593 1356152 1359460 1359529 "IPF" 1359534 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-592 1354479 1356077 1356134 "IPADIC" 1356139 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-591 1353791 1354039 1354169 "IP4ADDR" 1354369 T IP4ADDR (NIL) -8 NIL NIL NIL) (-590 1353165 1353420 1353552 "IOMODE" 1353679 T IOMODE (NIL) -8 NIL NIL NIL) (-589 1352238 1352762 1352889 "IOBFILE" 1353058 T IOBFILE (NIL) -8 NIL NIL NIL) (-588 1351726 1352142 1352170 "IOBCON" 1352175 T IOBCON (NIL) -9 NIL 1352196 NIL) (-587 1351237 1351295 1351478 "INVLAPLA" 1351662 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-586 1340885 1343239 1345625 "INTTR" 1348901 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-585 1337220 1337962 1338827 "INTTOOLS" 1340070 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-584 1336806 1336897 1337014 "INTSLPE" 1337123 T INTSLPE (NIL) -7 NIL NIL NIL) (-583 1334759 1336729 1336788 "INTRVL" 1336793 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-582 1332361 1332873 1333448 "INTRF" 1334244 NIL INTRF (NIL T) -7 NIL NIL NIL) (-581 1331772 1331869 1332011 "INTRET" 1332259 NIL INTRET (NIL T) -7 NIL NIL NIL) (-580 1329769 1330158 1330628 "INTRAT" 1331380 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-579 1327032 1327615 1328234 "INTPM" 1329254 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-578 1323777 1324376 1325114 "INTPAF" 1326418 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-577 1318956 1319918 1320969 "INTPACK" 1322746 T INTPACK (NIL) -7 NIL NIL NIL) (-576 1315854 1318753 1318862 "INT" 1318867 T INT (NIL) -8 NIL NIL NIL) (-575 1315106 1315258 1315466 "INTHERTR" 1315696 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-574 1314545 1314625 1314813 "INTHERAL" 1315020 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-573 1312391 1312834 1313291 "INTHEORY" 1314108 T INTHEORY (NIL) -7 NIL NIL NIL) (-572 1303797 1305418 1307190 "INTG0" 1310743 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-571 1284370 1289160 1293970 "INTFTBL" 1299007 T INTFTBL (NIL) -8 NIL NIL NIL) (-570 1283619 1283757 1283930 "INTFACT" 1284229 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-569 1281046 1281492 1282049 "INTEF" 1283173 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-568 1279413 1280152 1280180 "INTDOM" 1280481 T INTDOM (NIL) -9 NIL 1280688 NIL) (-567 1278782 1278956 1279198 "INTDOM-" 1279203 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-566 1275170 1277098 1277152 "INTCAT" 1277951 NIL INTCAT (NIL T) -9 NIL 1278272 NIL) (-565 1274642 1274745 1274873 "INTBIT" 1275062 T INTBIT (NIL) -7 NIL NIL NIL) (-564 1273341 1273495 1273802 "INTALG" 1274487 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-563 1272824 1272914 1273071 "INTAF" 1273245 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-562 1266167 1272634 1272774 "INTABL" 1272779 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-561 1265500 1265966 1266031 "INT8" 1266065 T INT8 (NIL) -8 NIL NIL 1266110) (-560 1264832 1265298 1265363 "INT64" 1265397 T INT64 (NIL) -8 NIL NIL 1265442) (-559 1264164 1264630 1264695 "INT32" 1264729 T INT32 (NIL) -8 NIL NIL 1264774) (-558 1263496 1263962 1264027 "INT16" 1264061 T INT16 (NIL) -8 NIL NIL 1264106) (-557 1258291 1261057 1261085 "INS" 1262019 T INS (NIL) -9 NIL 1262684 NIL) (-556 1255531 1256302 1257276 "INS-" 1257349 NIL INS- (NIL T) -8 NIL NIL NIL) (-555 1254306 1254533 1254831 "INPSIGN" 1255284 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-554 1253424 1253541 1253738 "INPRODPF" 1254186 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-553 1252318 1252435 1252672 "INPRODFF" 1253304 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-552 1251318 1251470 1251730 "INNMFACT" 1252154 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-551 1250515 1250612 1250800 "INMODGCD" 1251217 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-550 1249023 1249268 1249592 "INFSP" 1250260 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-549 1248207 1248324 1248507 "INFPROD0" 1248903 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-548 1245062 1246272 1246787 "INFORM" 1247700 T INFORM (NIL) -8 NIL NIL NIL) (-547 1244672 1244732 1244830 "INFORM1" 1244997 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-546 1244195 1244284 1244398 "INFINITY" 1244578 T INFINITY (NIL) -7 NIL NIL NIL) (-545 1243371 1243915 1244016 "INETCLTS" 1244114 T INETCLTS (NIL) -8 NIL NIL NIL) (-544 1241987 1242237 1242558 "INEP" 1243119 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-543 1241236 1241884 1241949 "INDE" 1241954 NIL INDE (NIL T) -8 NIL NIL NIL) (-542 1240800 1240868 1240985 "INCRMAPS" 1241163 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-541 1239618 1240069 1240275 "INBFILE" 1240614 T INBFILE (NIL) -8 NIL NIL NIL) (-540 1234917 1235854 1236798 "INBFF" 1238706 NIL INBFF (NIL T) -7 NIL NIL NIL) (-539 1233825 1234094 1234122 "INBCON" 1234635 T INBCON (NIL) -9 NIL 1234901 NIL) (-538 1233077 1233300 1233576 "INBCON-" 1233581 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-537 1232556 1232801 1232892 "INAST" 1233006 T INAST (NIL) -8 NIL NIL NIL) (-536 1231983 1232235 1232341 "IMPTAST" 1232470 T IMPTAST (NIL) -8 NIL NIL NIL) (-535 1228429 1231827 1231931 "IMATRIX" 1231936 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-534 1227137 1227260 1227576 "IMATQF" 1228285 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-533 1225357 1225584 1225921 "IMATLIN" 1226893 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-532 1219935 1225281 1225339 "ILIST" 1225344 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-531 1217840 1219795 1219908 "IIARRAY2" 1219913 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-530 1213238 1217751 1217815 "IFF" 1217820 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-529 1212585 1212855 1212971 "IFAST" 1213142 T IFAST (NIL) -8 NIL NIL NIL) (-528 1207580 1211877 1212065 "IFARRAY" 1212442 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-527 1206760 1207484 1207557 "IFAMON" 1207562 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-526 1206344 1206409 1206463 "IEVALAB" 1206670 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-525 1206019 1206087 1206247 "IEVALAB-" 1206252 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-524 1205650 1205933 1205996 "IDPO" 1206001 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-523 1204900 1205539 1205614 "IDPOAMS" 1205619 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-522 1204207 1204789 1204864 "IDPOAM" 1204869 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-521 1203266 1203542 1203595 "IDPC" 1204008 NIL IDPC (NIL T T) -9 NIL 1204157 NIL) (-520 1202735 1203158 1203231 "IDPAM" 1203236 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-519 1202111 1202627 1202700 "IDPAG" 1202705 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-518 1201756 1201947 1202022 "IDENT" 1202056 T IDENT (NIL) -8 NIL NIL NIL) (-517 1198011 1198859 1199754 "IDECOMP" 1200913 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-516 1190848 1191934 1192981 "IDEAL" 1197047 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-515 1190008 1190120 1190320 "ICDEN" 1190732 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-514 1189079 1189488 1189635 "ICARD" 1189881 T ICARD (NIL) -8 NIL NIL NIL) (-513 1187139 1187452 1187857 "IBPTOOLS" 1188756 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-512 1182746 1186759 1186872 "IBITS" 1187058 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-511 1179469 1180045 1180740 "IBATOOL" 1182163 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-510 1177248 1177710 1178243 "IBACHIN" 1179004 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-509 1175077 1177094 1177197 "IARRAY2" 1177202 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-508 1171183 1175003 1175060 "IARRAY1" 1175065 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-507 1165221 1169595 1170076 "IAN" 1170722 T IAN (NIL) -8 NIL NIL NIL) (-506 1164732 1164789 1164962 "IALGFACT" 1165158 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-505 1164260 1164373 1164401 "HYPCAT" 1164608 T HYPCAT (NIL) -9 NIL NIL NIL) (-504 1163798 1163915 1164101 "HYPCAT-" 1164106 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-503 1163393 1163593 1163676 "HOSTNAME" 1163735 T HOSTNAME (NIL) -8 NIL NIL NIL) (-502 1163238 1163275 1163316 "HOMOTOP" 1163321 NIL HOMOTOP (NIL T) -9 NIL 1163354 NIL) (-501 1159870 1161248 1161289 "HOAGG" 1162270 NIL HOAGG (NIL T) -9 NIL 1162949 NIL) (-500 1158464 1158863 1159389 "HOAGG-" 1159394 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-499 1152373 1158057 1158207 "HEXADEC" 1158334 T HEXADEC (NIL) -8 NIL NIL NIL) (-498 1151121 1151343 1151606 "HEUGCD" 1152150 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-497 1150197 1150958 1151088 "HELLFDIV" 1151093 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-496 1148376 1149974 1150062 "HEAP" 1150141 NIL HEAP (NIL T) -8 NIL NIL NIL) (-495 1147639 1147928 1148062 "HEADAST" 1148262 T HEADAST (NIL) -8 NIL NIL NIL) (-494 1141658 1147554 1147616 "HDP" 1147621 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-493 1135557 1141293 1141445 "HDMP" 1141559 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-492 1134881 1135021 1135185 "HB" 1135413 T HB (NIL) -7 NIL NIL NIL) (-491 1128267 1134727 1134831 "HASHTBL" 1134836 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-490 1127743 1127988 1128080 "HASAST" 1128195 T HASAST (NIL) -8 NIL NIL NIL) (-489 1125521 1127365 1127547 "HACKPI" 1127581 T HACKPI (NIL) -8 NIL NIL NIL) (-488 1121189 1125374 1125487 "GTSET" 1125492 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-487 1114604 1121067 1121165 "GSTBL" 1121170 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-486 1106882 1113635 1113900 "GSERIES" 1114395 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-485 1106023 1106440 1106468 "GROUP" 1106671 T GROUP (NIL) -9 NIL 1106805 NIL) (-484 1105389 1105548 1105799 "GROUP-" 1105804 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-483 1103756 1104077 1104464 "GROEBSOL" 1105066 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-482 1102670 1102958 1103009 "GRMOD" 1103538 NIL GRMOD (NIL T T) -9 NIL 1103706 NIL) (-481 1102438 1102474 1102602 "GRMOD-" 1102607 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-480 1097728 1098792 1099792 "GRIMAGE" 1101458 T GRIMAGE (NIL) -8 NIL NIL NIL) (-479 1096194 1096455 1096779 "GRDEF" 1097424 T GRDEF (NIL) -7 NIL NIL NIL) (-478 1095638 1095754 1095895 "GRAY" 1096073 T GRAY (NIL) -7 NIL NIL NIL) (-477 1094825 1095231 1095282 "GRALG" 1095435 NIL GRALG (NIL T T) -9 NIL 1095528 NIL) (-476 1094486 1094559 1094722 "GRALG-" 1094727 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-475 1091263 1094071 1094249 "GPOLSET" 1094393 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-474 1090617 1090674 1090932 "GOSPER" 1091200 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-473 1086349 1087055 1087581 "GMODPOL" 1090316 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-472 1085354 1085538 1085776 "GHENSEL" 1086161 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-471 1079510 1080353 1081373 "GENUPS" 1084438 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-470 1079207 1079258 1079347 "GENUFACT" 1079453 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-469 1078619 1078696 1078861 "GENPGCD" 1079125 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-468 1078093 1078128 1078341 "GENMFACT" 1078578 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-467 1076659 1076916 1077223 "GENEEZ" 1077836 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-466 1070718 1076270 1076432 "GDMP" 1076582 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-465 1060061 1064489 1065595 "GCNAALG" 1069701 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-464 1058388 1059250 1059278 "GCDDOM" 1059533 T GCDDOM (NIL) -9 NIL 1059690 NIL) (-463 1057858 1057985 1058200 "GCDDOM-" 1058205 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-462 1056530 1056715 1057019 "GB" 1057637 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-461 1045146 1047476 1049868 "GBINTERN" 1054221 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-460 1042983 1043275 1043696 "GBF" 1044821 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-459 1041764 1041929 1042196 "GBEUCLID" 1042799 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-458 1041113 1041238 1041387 "GAUSSFAC" 1041635 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-457 1039480 1039782 1040096 "GALUTIL" 1040832 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-456 1037788 1038062 1038386 "GALPOLYU" 1039207 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-455 1035153 1035443 1035850 "GALFACTU" 1037485 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-454 1026959 1028458 1030066 "GALFACT" 1033585 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-453 1024347 1025005 1025033 "FVFUN" 1026189 T FVFUN (NIL) -9 NIL 1026909 NIL) (-452 1023613 1023795 1023823 "FVC" 1024114 T FVC (NIL) -9 NIL 1024297 NIL) (-451 1023256 1023438 1023506 "FUNDESC" 1023565 T FUNDESC (NIL) -8 NIL NIL NIL) (-450 1022871 1023053 1023134 "FUNCTION" 1023208 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-449 1020615 1021193 1021659 "FT" 1022425 T FT (NIL) -8 NIL NIL NIL) (-448 1019406 1019916 1020119 "FTEM" 1020432 T FTEM (NIL) -8 NIL NIL NIL) (-447 1017697 1017986 1018383 "FSUPFACT" 1019097 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-446 1016094 1016383 1016715 "FST" 1017385 T FST (NIL) -8 NIL NIL NIL) (-445 1015293 1015399 1015587 "FSRED" 1015976 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-444 1013992 1014248 1014595 "FSPRMELT" 1015008 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-443 1011298 1011736 1012222 "FSPECF" 1013555 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-442 992600 1001072 1001113 "FS" 1004997 NIL FS (NIL T) -9 NIL 1007286 NIL) (-441 981243 984236 988293 "FS-" 988593 NIL FS- (NIL T T) -8 NIL NIL NIL) (-440 980771 980825 980995 "FSINT" 981184 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-439 979063 979764 980067 "FSERIES" 980550 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-438 978105 978221 978445 "FSCINT" 978943 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-437 974313 977049 977090 "FSAGG" 977460 NIL FSAGG (NIL T) -9 NIL 977719 NIL) (-436 972075 972676 973472 "FSAGG-" 973567 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-435 971117 971260 971487 "FSAGG2" 971928 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-434 968795 969075 969623 "FS2UPS" 970835 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-433 968429 968472 968601 "FS2" 968746 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-432 967307 967478 967780 "FS2EXPXP" 968254 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-431 966733 966848 967000 "FRUTIL" 967187 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-430 958146 962228 963586 "FR" 965407 NIL FR (NIL T) -8 NIL NIL NIL) (-429 953160 955835 955875 "FRNAALG" 957195 NIL FRNAALG (NIL T) -9 NIL 957793 NIL) (-428 948833 949909 951184 "FRNAALG-" 951934 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-427 948471 948514 948641 "FRNAAF2" 948784 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-426 946846 947320 947616 "FRMOD" 948283 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-425 944589 945221 945539 "FRIDEAL" 946637 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-424 943780 943867 944158 "FRIDEAL2" 944496 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-423 942913 943327 943368 "FRETRCT" 943373 NIL FRETRCT (NIL T) -9 NIL 943549 NIL) (-422 942025 942256 942607 "FRETRCT-" 942612 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-421 939113 940323 940382 "FRAMALG" 941264 NIL FRAMALG (NIL T T) -9 NIL 941556 NIL) (-420 937247 937702 938332 "FRAMALG-" 938555 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-419 931077 936720 936997 "FRAC" 937002 NIL FRAC (NIL T) -8 NIL NIL NIL) (-418 930713 930770 930877 "FRAC2" 931014 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-417 930349 930406 930513 "FR2" 930650 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-416 924862 927755 927783 "FPS" 928902 T FPS (NIL) -9 NIL 929459 NIL) (-415 924311 924420 924584 "FPS-" 924730 NIL FPS- (NIL T) -8 NIL NIL NIL) (-414 921613 923282 923310 "FPC" 923535 T FPC (NIL) -9 NIL 923677 NIL) (-413 921406 921446 921543 "FPC-" 921548 NIL FPC- (NIL T) -8 NIL NIL NIL) (-412 920196 920894 920935 "FPATMAB" 920940 NIL FPATMAB (NIL T) -9 NIL 921092 NIL) (-411 917869 918372 918798 "FPARFRAC" 919833 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-410 913263 913761 914443 "FORTRAN" 917301 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-409 910979 911479 912018 "FORT" 912744 T FORT (NIL) -7 NIL NIL NIL) (-408 908655 909217 909245 "FORTFN" 910305 T FORTFN (NIL) -9 NIL 910929 NIL) (-407 908419 908469 908497 "FORTCAT" 908556 T FORTCAT (NIL) -9 NIL 908618 NIL) (-406 906525 907035 907425 "FORMULA" 908049 T FORMULA (NIL) -8 NIL NIL NIL) (-405 906313 906343 906412 "FORMULA1" 906489 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-404 905836 905888 906061 "FORDER" 906255 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-403 904932 905096 905289 "FOP" 905663 T FOP (NIL) -7 NIL NIL NIL) (-402 903513 904212 904386 "FNLA" 904814 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-401 902242 902657 902685 "FNCAT" 903145 T FNCAT (NIL) -9 NIL 903405 NIL) (-400 901781 902201 902229 "FNAME" 902234 T FNAME (NIL) -8 NIL NIL NIL) (-399 900344 901307 901335 "FMTC" 901340 T FMTC (NIL) -9 NIL 901376 NIL) (-398 899090 900280 900326 "FMONOID" 900331 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-397 895918 897086 897127 "FMONCAT" 898344 NIL FMONCAT (NIL T) -9 NIL 898949 NIL) (-396 895110 895660 895809 "FM" 895814 NIL FM (NIL T T) -8 NIL NIL NIL) (-395 892534 893180 893208 "FMFUN" 894352 T FMFUN (NIL) -9 NIL 895060 NIL) (-394 891803 891984 892012 "FMC" 892302 T FMC (NIL) -9 NIL 892484 NIL) (-393 888882 889742 889796 "FMCAT" 890991 NIL FMCAT (NIL T T) -9 NIL 891486 NIL) (-392 887748 888648 888748 "FM1" 888827 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-391 885522 885938 886432 "FLOATRP" 887299 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-390 879100 883251 883872 "FLOAT" 884921 T FLOAT (NIL) -8 NIL NIL NIL) (-389 876538 877038 877616 "FLOATCP" 878567 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-388 875385 876144 876185 "FLINEXP" 876190 NIL FLINEXP (NIL T) -9 NIL 876283 NIL) (-387 874317 874614 875022 "FLINEXP-" 875027 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-386 873393 873537 873761 "FLASORT" 874169 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-385 870509 871377 871429 "FLALG" 872656 NIL FLALG (NIL T T) -9 NIL 873123 NIL) (-384 864213 867965 868006 "FLAGG" 869268 NIL FLAGG (NIL T) -9 NIL 869920 NIL) (-383 862939 863278 863768 "FLAGG-" 863773 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-382 861981 862124 862351 "FLAGG2" 862792 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-381 858832 859840 859899 "FINRALG" 861027 NIL FINRALG (NIL T T) -9 NIL 861535 NIL) (-380 857992 858221 858560 "FINRALG-" 858565 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-379 857372 857611 857639 "FINITE" 857835 T FINITE (NIL) -9 NIL 857942 NIL) (-378 849729 851916 851956 "FINAALG" 855623 NIL FINAALG (NIL T) -9 NIL 857076 NIL) (-377 845061 846111 847255 "FINAALG-" 848634 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-376 844429 844816 844919 "FILE" 844991 NIL FILE (NIL T) -8 NIL NIL NIL) (-375 843087 843425 843479 "FILECAT" 844163 NIL FILECAT (NIL T T) -9 NIL 844379 NIL) (-374 840803 842331 842359 "FIELD" 842399 T FIELD (NIL) -9 NIL 842479 NIL) (-373 839423 839808 840319 "FIELD-" 840324 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-372 837273 838058 838405 "FGROUP" 839109 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-371 836363 836527 836747 "FGLMICPK" 837105 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-370 832195 836288 836345 "FFX" 836350 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-369 831796 831857 831992 "FFSLPE" 832128 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-368 827786 828568 829364 "FFPOLY" 831032 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-367 827290 827326 827535 "FFPOLY2" 827744 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-366 823136 827209 827272 "FFP" 827277 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-365 818534 823047 823111 "FF" 823116 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-364 813660 817877 818067 "FFNBX" 818388 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-363 808588 812795 813053 "FFNBP" 813514 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-362 803221 807872 808083 "FFNB" 808421 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-361 802053 802251 802566 "FFINTBAS" 803018 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-360 798079 800300 800328 "FFIELDC" 800948 T FFIELDC (NIL) -9 NIL 801324 NIL) (-359 796741 797112 797609 "FFIELDC-" 797614 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-358 796310 796356 796480 "FFHOM" 796683 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-357 794005 794492 795009 "FFF" 795825 NIL FFF (NIL T) -7 NIL NIL NIL) (-356 789623 793747 793848 "FFCGX" 793948 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-355 785245 789355 789462 "FFCGP" 789566 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-354 780428 784972 785080 "FFCG" 785181 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-353 761131 770317 770403 "FFCAT" 775568 NIL FFCAT (NIL T T T) -9 NIL 777019 NIL) (-352 756328 757376 758690 "FFCAT-" 759920 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-351 755739 755782 756017 "FFCAT2" 756279 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-350 745062 748711 749931 "FEXPR" 754591 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-349 744024 744459 744500 "FEVALAB" 744584 NIL FEVALAB (NIL T) -9 NIL 744845 NIL) (-348 743183 743393 743731 "FEVALAB-" 743736 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-347 741749 742566 742769 "FDIV" 743082 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-346 738769 739510 739625 "FDIVCAT" 741193 NIL FDIVCAT (NIL T T T T) -9 NIL 741630 NIL) (-345 738531 738558 738728 "FDIVCAT-" 738733 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-344 737751 737838 738115 "FDIV2" 738438 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-343 736725 737046 737248 "FCTRDATA" 737569 T FCTRDATA (NIL) -8 NIL NIL NIL) (-342 735411 735670 735959 "FCPAK1" 736456 T FCPAK1 (NIL) -7 NIL NIL NIL) (-341 734510 734911 735052 "FCOMP" 735302 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-340 718215 721660 725198 "FC" 730992 T FC (NIL) -8 NIL NIL NIL) (-339 710494 714522 714562 "FAXF" 716364 NIL FAXF (NIL T) -9 NIL 717056 NIL) (-338 707771 708428 709253 "FAXF-" 709718 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-337 702823 707147 707323 "FARRAY" 707628 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-336 697717 699784 699837 "FAMR" 700860 NIL FAMR (NIL T T) -9 NIL 701320 NIL) (-335 696607 696909 697344 "FAMR-" 697349 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-334 695776 696529 696582 "FAMONOID" 696587 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-333 693562 694272 694325 "FAMONC" 695266 NIL FAMONC (NIL T T) -9 NIL 695652 NIL) (-332 692226 693316 693453 "FAGROUP" 693458 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-331 690021 690340 690743 "FACUTIL" 691907 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-330 689120 689305 689527 "FACTFUNC" 689831 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-329 681542 688423 688622 "EXPUPXS" 688976 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-328 679025 679565 680151 "EXPRTUBE" 680976 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-327 675296 675888 676618 "EXPRODE" 678364 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-326 661015 673945 674374 "EXPR" 674900 NIL EXPR (NIL T) -8 NIL NIL NIL) (-325 655569 656156 656962 "EXPR2UPS" 660313 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-324 655201 655258 655367 "EXPR2" 655506 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-323 646454 654352 654643 "EXPEXPAN" 655037 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-322 646254 646411 646440 "EXIT" 646445 T EXIT (NIL) -8 NIL NIL NIL) (-321 645734 645978 646069 "EXITAST" 646183 T EXITAST (NIL) -8 NIL NIL NIL) (-320 645361 645423 645536 "EVALCYC" 645666 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-319 644902 645020 645061 "EVALAB" 645231 NIL EVALAB (NIL T) -9 NIL 645335 NIL) (-318 644383 644505 644726 "EVALAB-" 644731 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-317 641751 643053 643081 "EUCDOM" 643636 T EUCDOM (NIL) -9 NIL 643986 NIL) (-316 640156 640598 641188 "EUCDOM-" 641193 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-315 627695 630454 633204 "ESTOOLS" 637426 T ESTOOLS (NIL) -7 NIL NIL NIL) (-314 627327 627384 627493 "ESTOOLS2" 627632 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-313 627078 627120 627200 "ESTOOLS1" 627279 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-312 621115 622723 622751 "ES" 625519 T ES (NIL) -9 NIL 626929 NIL) (-311 616062 617349 619166 "ES-" 619330 NIL ES- (NIL T) -8 NIL NIL NIL) (-310 612436 613197 613977 "ESCONT" 615302 T ESCONT (NIL) -7 NIL NIL NIL) (-309 612181 612213 612295 "ESCONT1" 612398 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-308 611856 611906 612006 "ES2" 612125 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-307 611486 611544 611653 "ES1" 611792 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-306 610702 610831 611007 "ERROR" 611330 T ERROR (NIL) -7 NIL NIL NIL) (-305 604094 610561 610652 "EQTBL" 610657 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-304 596597 599408 600857 "EQ" 602678 NIL -3094 (NIL T) -8 NIL NIL NIL) (-303 596229 596286 596395 "EQ2" 596534 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-302 591520 592567 593660 "EP" 595168 NIL EP (NIL T) -7 NIL NIL NIL) (-301 590120 590411 590717 "ENV" 591234 T ENV (NIL) -8 NIL NIL NIL) (-300 589214 589768 589796 "ENTIRER" 589801 T ENTIRER (NIL) -9 NIL 589847 NIL) (-299 585908 587396 587757 "EMR" 589022 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-298 585038 585223 585277 "ELTAGG" 585657 NIL ELTAGG (NIL T T) -9 NIL 585868 NIL) (-297 584757 584819 584960 "ELTAGG-" 584965 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-296 584521 584550 584604 "ELTAB" 584688 NIL ELTAB (NIL T T) -9 NIL 584740 NIL) (-295 583647 583793 583992 "ELFUTS" 584372 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-294 583389 583445 583473 "ELEMFUN" 583578 T ELEMFUN (NIL) -9 NIL NIL NIL) (-293 583259 583280 583348 "ELEMFUN-" 583353 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-292 578073 581329 581370 "ELAGG" 582310 NIL ELAGG (NIL T) -9 NIL 582773 NIL) (-291 576358 576792 577455 "ELAGG-" 577460 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-290 575670 575807 575963 "ELABOR" 576222 T ELABOR (NIL) -8 NIL NIL NIL) (-289 574331 574610 574904 "ELABEXPR" 575396 T ELABEXPR (NIL) -8 NIL NIL NIL) (-288 567165 568968 569797 "EFUPXS" 573606 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-287 560613 562414 563225 "EFULS" 566440 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-286 558098 558456 558928 "EFSTRUC" 560245 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-285 547889 549455 551003 "EF" 556613 NIL EF (NIL T T) -7 NIL NIL NIL) (-284 546963 547374 547523 "EAB" 547760 T EAB (NIL) -8 NIL NIL NIL) (-283 546145 546922 546950 "E04UCFA" 546955 T E04UCFA (NIL) -8 NIL NIL NIL) (-282 545327 546104 546132 "E04NAFA" 546137 T E04NAFA (NIL) -8 NIL NIL NIL) (-281 544509 545286 545314 "E04MBFA" 545319 T E04MBFA (NIL) -8 NIL NIL NIL) (-280 543691 544468 544496 "E04JAFA" 544501 T E04JAFA (NIL) -8 NIL NIL NIL) (-279 542875 543650 543678 "E04GCFA" 543683 T E04GCFA (NIL) -8 NIL NIL NIL) (-278 542059 542834 542862 "E04FDFA" 542867 T E04FDFA (NIL) -8 NIL NIL NIL) (-277 541241 542018 542046 "E04DGFA" 542051 T E04DGFA (NIL) -8 NIL NIL NIL) (-276 535414 536766 538130 "E04AGNT" 539897 T E04AGNT (NIL) -7 NIL NIL NIL) (-275 534185 534728 534768 "DVARCAT" 535109 NIL DVARCAT (NIL T) -9 NIL 535272 NIL) (-274 533389 533601 533915 "DVARCAT-" 533920 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-273 526437 533188 533317 "DSMP" 533322 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-272 524860 525579 525620 "DSEXT" 525983 NIL DSEXT (NIL T) -9 NIL 526277 NIL) (-271 523145 523573 524239 "DSEXT-" 524244 NIL DSEXT- (NIL T T) -8 NIL NIL NIL) (-270 517926 519090 520158 "DROPT" 522097 T DROPT (NIL) -8 NIL NIL NIL) (-269 517591 517650 517748 "DROPT1" 517861 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-268 512706 513832 514969 "DROPT0" 516474 T DROPT0 (NIL) -7 NIL NIL NIL) (-267 511051 511376 511762 "DRAWPT" 512340 T DRAWPT (NIL) -7 NIL NIL NIL) (-266 505638 506561 507640 "DRAW" 510025 NIL DRAW (NIL T) -7 NIL NIL NIL) (-265 505271 505324 505442 "DRAWHACK" 505579 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-264 504002 504271 504562 "DRAWCX" 505000 T DRAWCX (NIL) -7 NIL NIL NIL) (-263 503517 503586 503737 "DRAWCURV" 503928 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-262 493985 495947 498062 "DRAWCFUN" 501422 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-261 490749 492678 492719 "DQAGG" 493348 NIL DQAGG (NIL T) -9 NIL 493622 NIL) (-260 478551 485110 485193 "DPOLCAT" 487045 NIL DPOLCAT (NIL T T T T) -9 NIL 487590 NIL) (-259 473388 474736 476694 "DPOLCAT-" 476699 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-258 467694 473249 473347 "DPMO" 473352 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-257 461903 467474 467641 "DPMM" 467646 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-256 461473 461687 461776 "DOMTMPLT" 461834 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-255 460906 461275 461355 "DOMCTOR" 461413 T DOMCTOR (NIL) -8 NIL NIL NIL) (-254 460118 460386 460537 "DOMAIN" 460775 T DOMAIN (NIL) -8 NIL NIL NIL) (-253 454017 459753 459905 "DMP" 460019 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-252 453617 453673 453817 "DLP" 453955 NIL DLP (NIL T) -7 NIL NIL NIL) (-251 447439 452944 453134 "DLIST" 453459 NIL DLIST (NIL T) -8 NIL NIL NIL) (-250 444236 446292 446333 "DLAGG" 446883 NIL DLAGG (NIL T) -9 NIL 447113 NIL) (-249 442912 443576 443604 "DIVRING" 443696 T DIVRING (NIL) -9 NIL 443779 NIL) (-248 442149 442339 442639 "DIVRING-" 442644 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-247 440251 440608 441014 "DISPLAY" 441763 T DISPLAY (NIL) -7 NIL NIL NIL) (-246 434290 440165 440228 "DIRPROD" 440233 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-245 433138 433341 433606 "DIRPROD2" 434083 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-244 422340 428197 428250 "DIRPCAT" 428508 NIL DIRPCAT (NIL NIL T) -9 NIL 429383 NIL) (-243 419444 420148 421109 "DIRPCAT-" 421446 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-242 418731 418891 419077 "DIOSP" 419278 T DIOSP (NIL) -7 NIL NIL NIL) (-241 415386 417643 417684 "DIOPS" 418118 NIL DIOPS (NIL T) -9 NIL 418347 NIL) (-240 414935 415049 415240 "DIOPS-" 415245 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-239 413986 414614 414642 "DIFRING" 414647 T DIFRING (NIL) -9 NIL 414669 NIL) (-238 413658 413732 413760 "DIFFSPC" 413879 T DIFFSPC (NIL) -9 NIL 413954 NIL) (-237 413303 413381 413533 "DIFFSPC-" 413538 NIL DIFFSPC- (NIL T) -8 NIL NIL NIL) (-236 412459 412937 412977 "DIFFMOD" 412982 NIL DIFFMOD (NIL T) -9 NIL 413009 NIL) (-235 412167 412212 412253 "DIFFDOM" 412374 NIL DIFFDOM (NIL T) -9 NIL 412442 NIL) (-234 412020 412044 412128 "DIFFDOM-" 412133 NIL DIFFDOM- (NIL T T) -8 NIL NIL NIL) (-233 409553 410825 410866 "DIFEXT" 411229 NIL DIFEXT (NIL T) -9 NIL 411523 NIL) (-232 407838 408266 408932 "DIFEXT-" 408937 NIL DIFEXT- (NIL T T) -8 NIL NIL NIL) (-231 405113 407370 407411 "DIAGG" 407416 NIL DIAGG (NIL T) -9 NIL 407436 NIL) (-230 404497 404654 404906 "DIAGG-" 404911 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-229 399914 403456 403733 "DHMATRIX" 404266 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-228 395526 396435 397445 "DFSFUN" 398924 T DFSFUN (NIL) -7 NIL NIL NIL) (-227 390606 394457 394769 "DFLOAT" 395234 T DFLOAT (NIL) -8 NIL NIL NIL) (-226 388869 389150 389539 "DFINTTLS" 390314 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-225 385898 386890 387290 "DERHAM" 388535 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-224 383699 385673 385762 "DEQUEUE" 385842 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-223 382953 383086 383269 "DEGRED" 383561 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-222 379383 380128 380974 "DEFINTRF" 382181 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-221 376938 377407 377999 "DEFINTEF" 378902 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-220 376288 376558 376673 "DEFAST" 376843 T DEFAST (NIL) -8 NIL NIL NIL) (-219 370197 375881 376031 "DECIMAL" 376158 T DECIMAL (NIL) -8 NIL NIL NIL) (-218 367709 368167 368673 "DDFACT" 369741 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-217 367305 367348 367499 "DBLRESP" 367660 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-216 365173 365535 365896 "DBASE" 367071 NIL DBASE (NIL T) -8 NIL NIL NIL) (-215 364415 364653 364799 "DATAARY" 365072 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-214 363521 364374 364402 "D03FAFA" 364407 T D03FAFA (NIL) -8 NIL NIL NIL) (-213 362628 363480 363508 "D03EEFA" 363513 T D03EEFA (NIL) -8 NIL NIL NIL) (-212 360578 361044 361533 "D03AGNT" 362159 T D03AGNT (NIL) -7 NIL NIL NIL) (-211 359867 360537 360565 "D02EJFA" 360570 T D02EJFA (NIL) -8 NIL NIL NIL) (-210 359156 359826 359854 "D02CJFA" 359859 T D02CJFA (NIL) -8 NIL NIL NIL) (-209 358445 359115 359143 "D02BHFA" 359148 T D02BHFA (NIL) -8 NIL NIL NIL) (-208 357734 358404 358432 "D02BBFA" 358437 T D02BBFA (NIL) -8 NIL NIL NIL) (-207 350931 352520 354126 "D02AGNT" 356148 T D02AGNT (NIL) -7 NIL NIL NIL) (-206 348699 349222 349768 "D01WGTS" 350405 T D01WGTS (NIL) -7 NIL NIL NIL) (-205 347766 348658 348686 "D01TRNS" 348691 T D01TRNS (NIL) -8 NIL NIL NIL) (-204 346834 347725 347753 "D01GBFA" 347758 T D01GBFA (NIL) -8 NIL NIL NIL) (-203 345902 346793 346821 "D01FCFA" 346826 T D01FCFA (NIL) -8 NIL NIL NIL) (-202 344970 345861 345889 "D01ASFA" 345894 T D01ASFA (NIL) -8 NIL NIL NIL) (-201 344038 344929 344957 "D01AQFA" 344962 T D01AQFA (NIL) -8 NIL NIL NIL) (-200 343106 343997 344025 "D01APFA" 344030 T D01APFA (NIL) -8 NIL NIL NIL) (-199 342174 343065 343093 "D01ANFA" 343098 T D01ANFA (NIL) -8 NIL NIL NIL) (-198 341242 342133 342161 "D01AMFA" 342166 T D01AMFA (NIL) -8 NIL NIL NIL) (-197 340310 341201 341229 "D01ALFA" 341234 T D01ALFA (NIL) -8 NIL NIL NIL) (-196 339378 340269 340297 "D01AKFA" 340302 T D01AKFA (NIL) -8 NIL NIL NIL) (-195 338446 339337 339365 "D01AJFA" 339370 T D01AJFA (NIL) -8 NIL NIL NIL) (-194 331741 333294 334855 "D01AGNT" 336905 T D01AGNT (NIL) -7 NIL NIL NIL) (-193 331078 331206 331358 "CYCLOTOM" 331609 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-192 327811 328526 329253 "CYCLES" 330371 T CYCLES (NIL) -7 NIL NIL NIL) (-191 327123 327257 327428 "CVMP" 327672 NIL CVMP (NIL T) -7 NIL NIL NIL) (-190 324964 325222 325591 "CTRIGMNP" 326851 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-189 324400 324758 324831 "CTOR" 324911 T CTOR (NIL) -8 NIL NIL NIL) (-188 323909 324131 324232 "CTORKIND" 324319 T CTORKIND (NIL) -8 NIL NIL NIL) (-187 323200 323516 323544 "CTORCAT" 323726 T CTORCAT (NIL) -9 NIL 323839 NIL) (-186 322798 322909 323068 "CTORCAT-" 323073 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-185 322260 322472 322580 "CTORCALL" 322722 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-184 321634 321733 321886 "CSTTOOLS" 322157 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-183 317433 318090 318848 "CRFP" 320946 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-182 316908 317154 317246 "CRCEAST" 317361 T CRCEAST (NIL) -8 NIL NIL NIL) (-181 315955 316140 316368 "CRAPACK" 316712 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-180 315339 315440 315644 "CPMATCH" 315831 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-179 315064 315092 315198 "CPIMA" 315305 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-178 311412 312084 312803 "COORDSYS" 314399 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-177 310824 310945 311087 "CONTOUR" 311290 T CONTOUR (NIL) -8 NIL NIL NIL) (-176 306715 308827 309319 "CONTFRAC" 310364 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-175 306595 306616 306644 "CONDUIT" 306681 T CONDUIT (NIL) -9 NIL NIL NIL) (-174 305683 306237 306265 "COMRING" 306270 T COMRING (NIL) -9 NIL 306322 NIL) (-173 304737 305041 305225 "COMPPROP" 305519 T COMPPROP (NIL) -8 NIL NIL NIL) (-172 304398 304433 304561 "COMPLPAT" 304696 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-171 294600 304207 304316 "COMPLEX" 304321 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 294236 294293 294400 "COMPLEX2" 294537 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-169 293575 293696 293856 "COMPILER" 294096 T COMPILER (NIL) -8 NIL NIL NIL) (-168 293293 293328 293426 "COMPFACT" 293534 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-167 277046 287131 287171 "COMPCAT" 288175 NIL COMPCAT (NIL T) -9 NIL 289523 NIL) (-166 266336 269325 273032 "COMPCAT-" 273388 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-165 266065 266093 266196 "COMMUPC" 266302 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-164 265859 265893 265952 "COMMONOP" 266026 T COMMONOP (NIL) -7 NIL NIL NIL) (-163 265415 265610 265697 "COMM" 265792 T COMM (NIL) -8 NIL NIL NIL) (-162 264991 265219 265294 "COMMAAST" 265360 T COMMAAST (NIL) -8 NIL NIL NIL) (-161 264240 264434 264462 "COMBOPC" 264800 T COMBOPC (NIL) -9 NIL 264975 NIL) (-160 263136 263346 263588 "COMBINAT" 264030 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-159 259593 260167 260794 "COMBF" 262558 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-158 258351 258709 258944 "COLOR" 259378 T COLOR (NIL) -8 NIL NIL NIL) (-157 257827 258072 258164 "COLONAST" 258279 T COLONAST (NIL) -8 NIL NIL NIL) (-156 257467 257514 257639 "CMPLXRT" 257774 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-155 256915 257167 257266 "CLLCTAST" 257388 T CLLCTAST (NIL) -8 NIL NIL NIL) (-154 252417 253445 254525 "CLIP" 255855 T CLIP (NIL) -7 NIL NIL NIL) (-153 250758 251518 251758 "CLIF" 252244 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-152 246933 248904 248945 "CLAGG" 249874 NIL CLAGG (NIL T) -9 NIL 250410 NIL) (-151 245355 245812 246395 "CLAGG-" 246400 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-150 244899 244984 245124 "CINTSLPE" 245264 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-149 242400 242871 243419 "CHVAR" 244427 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-148 241574 242128 242156 "CHARZ" 242161 T CHARZ (NIL) -9 NIL 242176 NIL) (-147 241328 241368 241446 "CHARPOL" 241528 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-146 240386 240973 241001 "CHARNZ" 241048 T CHARNZ (NIL) -9 NIL 241104 NIL) (-145 238292 239040 239393 "CHAR" 240053 T CHAR (NIL) -8 NIL NIL NIL) (-144 238018 238079 238107 "CFCAT" 238218 T CFCAT (NIL) -9 NIL NIL NIL) (-143 237259 237370 237553 "CDEN" 237902 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-142 233224 236412 236692 "CCLASS" 236999 T CCLASS (NIL) -8 NIL NIL NIL) (-141 232475 232632 232809 "CATEGORY" 233067 T -10 (NIL) -8 NIL NIL NIL) (-140 232048 232394 232442 "CATCTOR" 232447 T CATCTOR (NIL) -8 NIL NIL NIL) (-139 231499 231751 231849 "CATAST" 231970 T CATAST (NIL) -8 NIL NIL NIL) (-138 230975 231220 231312 "CASEAST" 231427 T CASEAST (NIL) -8 NIL NIL NIL) (-137 226113 227132 227876 "CARTEN" 230287 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 225221 225369 225590 "CARTEN2" 225960 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-135 223537 224371 224628 "CARD" 224984 T CARD (NIL) -8 NIL NIL NIL) (-134 223113 223341 223416 "CAPSLAST" 223482 T CAPSLAST (NIL) -8 NIL NIL NIL) (-133 222617 222825 222853 "CACHSET" 222985 T CACHSET (NIL) -9 NIL 223063 NIL) (-132 222087 222409 222437 "CABMON" 222487 T CABMON (NIL) -9 NIL 222543 NIL) (-131 221560 221791 221901 "BYTEORD" 221997 T BYTEORD (NIL) -8 NIL NIL NIL) (-130 220537 221089 221231 "BYTE" 221394 T BYTE (NIL) -8 NIL NIL 221516) (-129 215887 220042 220214 "BYTEBUF" 220385 T BYTEBUF (NIL) -8 NIL NIL NIL) (-128 213396 215579 215686 "BTREE" 215813 NIL BTREE (NIL T) -8 NIL NIL NIL) (-127 210845 213044 213166 "BTOURN" 213306 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-126 208215 210315 210356 "BTCAT" 210424 NIL BTCAT (NIL T) -9 NIL 210501 NIL) (-125 207882 207962 208111 "BTCAT-" 208116 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-124 203261 207141 207169 "BTAGG" 207283 T BTAGG (NIL) -9 NIL 207393 NIL) (-123 202751 202876 203082 "BTAGG-" 203087 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-122 199746 202029 202244 "BSTREE" 202568 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-121 198884 199010 199194 "BRILL" 199602 NIL BRILL (NIL T) -7 NIL NIL NIL) (-120 195536 197610 197651 "BRAGG" 198300 NIL BRAGG (NIL T) -9 NIL 198558 NIL) (-119 194065 194471 195026 "BRAGG-" 195031 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-118 187189 193409 193594 "BPADICRT" 193912 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-117 185504 187126 187171 "BPADIC" 187176 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-116 185202 185232 185346 "BOUNDZRO" 185468 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-115 180430 181628 182540 "BOP" 184310 T BOP (NIL) -8 NIL NIL NIL) (-114 178211 178615 179090 "BOP1" 179988 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-113 177912 177973 178001 "BOOLE" 178112 T BOOLE (NIL) -9 NIL 178194 NIL) (-112 176737 177486 177635 "BOOLEAN" 177783 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 176016 176420 176474 "BMODULE" 176479 NIL BMODULE (NIL T T) -9 NIL 176544 NIL) (-110 171817 175814 175887 "BITS" 175963 T BITS (NIL) -8 NIL NIL NIL) (-109 171238 171357 171497 "BINDING" 171697 T BINDING (NIL) -8 NIL NIL NIL) (-108 165150 170833 170982 "BINARY" 171109 T BINARY (NIL) -8 NIL NIL NIL) (-107 162930 164405 164446 "BGAGG" 164706 NIL BGAGG (NIL T) -9 NIL 164843 NIL) (-106 162761 162793 162884 "BGAGG-" 162889 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 161832 162145 162350 "BFUNCT" 162576 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 160522 160700 160988 "BEZOUT" 161656 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 156991 159374 159704 "BBTREE" 160225 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 156725 156778 156806 "BASTYPE" 156925 T BASTYPE (NIL) -9 NIL NIL NIL) (-101 156577 156606 156679 "BASTYPE-" 156684 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 156011 156087 156239 "BALFACT" 156488 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 154867 155426 155612 "AUTOMOR" 155856 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 154593 154598 154624 "ATTREG" 154629 T ATTREG (NIL) -9 NIL NIL NIL) (-97 152845 153290 153642 "ATTRBUT" 154259 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 152453 152673 152739 "ATTRAST" 152797 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 151989 152102 152128 "ATRIG" 152329 T ATRIG (NIL) -9 NIL NIL NIL) (-94 151798 151839 151926 "ATRIG-" 151931 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 151443 151629 151655 "ASTCAT" 151660 T ASTCAT (NIL) -9 NIL 151690 NIL) (-92 151170 151229 151348 "ASTCAT-" 151353 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 149319 150946 151034 "ASTACK" 151113 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 147824 148121 148486 "ASSOCEQ" 149001 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 146856 147483 147607 "ASP9" 147731 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 146619 146804 146843 "ASP8" 146848 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 145487 146224 146366 "ASP80" 146508 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 144385 145122 145254 "ASP7" 145386 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 143339 144062 144180 "ASP78" 144298 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 142308 143019 143136 "ASP77" 143253 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 141220 141946 142077 "ASP74" 142208 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 140120 140855 140987 "ASP73" 141119 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 139224 139946 140046 "ASP6" 140051 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 138171 138901 139019 "ASP55" 139137 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 137120 137845 137964 "ASP50" 138083 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 136208 136821 136931 "ASP4" 137041 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 135296 135909 136019 "ASP49" 136129 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 134080 134835 135003 "ASP42" 135185 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 132857 133613 133783 "ASP41" 133967 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 131807 132534 132652 "ASP35" 132770 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 131572 131755 131794 "ASP34" 131799 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 131309 131376 131452 "ASP33" 131527 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 130203 130944 131076 "ASP31" 131208 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 129968 130151 130190 "ASP30" 130195 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 129703 129772 129848 "ASP29" 129923 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 129468 129651 129690 "ASP28" 129695 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 129233 129416 129455 "ASP27" 129460 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 128317 128931 129042 "ASP24" 129153 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 127394 128119 128231 "ASP20" 128236 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 126482 127095 127205 "ASP1" 127315 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 125425 126156 126275 "ASP19" 126394 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 125162 125229 125305 "ASP12" 125380 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 124014 124761 124905 "ASP10" 125049 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 121865 123858 123949 "ARRAY2" 123954 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 117630 121513 121627 "ARRAY1" 121782 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 116662 116835 117056 "ARRAY12" 117453 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 110974 112892 112967 "ARR2CAT" 115597 NIL ARR2CAT (NIL T T T) -9 NIL 116355 NIL) (-56 108408 109152 110106 "ARR2CAT-" 110111 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 107725 108035 108160 "ARITY" 108301 T ARITY (NIL) -8 NIL NIL NIL) (-54 106501 106653 106952 "APPRULE" 107561 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 106152 106200 106319 "APPLYORE" 106447 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 105506 105745 105865 "ANY" 106050 T ANY (NIL) -8 NIL NIL NIL) (-51 104784 104907 105064 "ANY1" 105380 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 102314 103221 103548 "ANTISYM" 104508 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 101806 102021 102117 "ANON" 102236 T ANON (NIL) -8 NIL NIL NIL) (-48 95984 100345 100799 "AN" 101370 T AN (NIL) -8 NIL NIL NIL) (-47 91882 93270 93321 "AMR" 94069 NIL AMR (NIL T T) -9 NIL 94669 NIL) (-46 90994 91215 91578 "AMR-" 91583 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 75433 90911 90972 "ALIST" 90977 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 72238 75027 75196 "ALGSC" 75351 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 68794 69348 69955 "ALGPKG" 71678 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 68071 68172 68356 "ALGMFACT" 68680 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 64106 64685 65279 "ALGMANIP" 67655 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 55373 63732 63882 "ALGFF" 64039 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 54569 54700 54879 "ALGFACT" 55231 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 53510 54110 54148 "ALGEBRA" 54153 NIL ALGEBRA (NIL T) -9 NIL 54194 NIL) (-37 53228 53287 53419 "ALGEBRA-" 53424 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 35291 51200 51252 "ALAGG" 51388 NIL ALAGG (NIL T T) -9 NIL 51549 NIL) (-35 34827 34940 34966 "AHYP" 35167 T AHYP (NIL) -9 NIL NIL NIL) (-34 33758 34006 34032 "AGG" 34531 T AGG (NIL) -9 NIL 34810 NIL) (-33 33192 33354 33568 "AGG-" 33573 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 30998 31421 31826 "AF" 32834 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 30478 30723 30813 "ADDAST" 30926 T ADDAST (NIL) -8 NIL NIL NIL) (-30 29746 30005 30161 "ACPLOT" 30340 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 18670 26678 26716 "ACFS" 27323 NIL ACFS (NIL T) -9 NIL 27562 NIL) (-28 16697 17187 17949 "ACFS-" 17954 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 12815 14744 14770 "ACF" 15649 T ACF (NIL) -9 NIL 16062 NIL) (-26 11519 11853 12346 "ACF-" 12351 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 11091 11286 11312 "ABELSG" 11404 T ABELSG (NIL) -9 NIL 11469 NIL) (-24 10958 10983 11049 "ABELSG-" 11054 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 10301 10588 10614 "ABELMON" 10784 T ABELMON (NIL) -9 NIL 10896 NIL) (-22 9965 10049 10187 "ABELMON-" 10192 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 9313 9685 9711 "ABELGRP" 9783 T ABELGRP (NIL) -9 NIL 9858 NIL) (-20 8776 8905 9121 "ABELGRP-" 9126 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4333 8085 8124 "A1AGG" 8129 NIL A1AGG (NIL T) -9 NIL 8169 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 e77d1370..7646f654 100644
--- a/src/share/algebra/operation.daase
+++ b/src/share/algebra/operation.daase
@@ -1,51 +1,830 @@
 
-(732907 . 3485769905)        
-(((*1 *2 *3 *4 *5 *5 *5 *5 *4 *6)
-  (-12 (-5 *4 (-576)) (-5 *6 (-1 (-1291) (-1286 *5) (-1286 *5) (-390)))
-   (-5 *3 (-1286 (-390))) (-5 *5 (-390)) (-5 *2 (-1291))
-   (-5 *1 (-800))))) 
-(((*1 *2 *3 *4)
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+                  (|:| |lowerSingular|
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+                  (|:| |upperSingular|
+                       "There is a singularity at the upper end point")
+                  (|:| |bothSingular|
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+                  (|:| |notEvaluated|
+                       "End point continuity not yet evaluated")))
+            (|:| |singularitiesStream|
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+                  (|:| |notEvaluated|
+                       "Internal singularities not yet evaluated")))
+            (|:| -1908
+                 (-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"))))))))
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+   (-5 *2 (-701 *3))))) 
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 (((*1 *2 *3)
-  (-12 (-4 *4 (-13 (-568) (-1056 (-576)))) (-5 *2 (-112))
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-(((*1 *2 *3) (-12 (-5 *3 (-874)) (-5 *2 (-1177)) (-5 *1 (-722))))) 
+  (-12 (|has| *2 (-6 (-4463 "*"))) (-4 *5 (-384 *2)) (-4 *6 (-384 *2))
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+  (-12 (-4 *4 (-464)) (-4 *4 (-568))
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+  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
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+  (-12 (-4 *3 (-1067)) (-4 *4 (-805)) (-4 *5 (-862)) (-5 *2 (-656 *1))
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+(((*1 *2 *3 *3)
+  (-12 (-4 *4 (-464)) (-4 *4 (-568))
+   (-5 *2 (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| -4315 *4)))
+   (-5 *1 (-987 *4 *3)) (-4 *3 (-1262 *4))))) 
+(((*1 *2 *2) (|partial| -12 (-5 *1 (-570 *2)) (-4 *2 (-557))))) 
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+  (-12 (-4 *3 (-1067)) (-4 *4 (-805)) (-4 *5 (-862)) (-5 *2 (-656 *1))
+   (-4 *1 (-1083 *3 *4 *5))))) 
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+  (-12 (-5 *3 (-1195)) (-5 *2 (-1 *6 *5)) (-5 *1 (-718 *4 *5 *6))
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+  (-12 (-5 *2 (-656 (-2 (|:| |gen| *3) (|:| -2666 (-576)))))
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+ ((*1 *2 *1)
+  (-12 (-4 *1 (-397 *3)) (-4 *3 (-1118))
+   (-5 *2 (-656 (-2 (|:| |gen| *3) (|:| -2666 (-783)))))))
+ ((*1 *2 *1)
+  (-12 (-5 *2 (-656 (-2 (|:| -2354 *3) (|:| -1359 (-576)))))
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+ ((*1 *2 *3 *3)
+  (-12 (-5 *3 (-937)) (-5 *2 (-1286 *4)) (-5 *1 (-540 *4))
+   (-4 *4 (-360))))
+ ((*1 *2 *1)
+  (-12 (-4 *2 (-862)) (-5 *1 (-725 *2 *3 *4)) (-4 *3 (-1118))
+   (-14 *4
+    (-1 (-112) (-2 (|:| -4318 *2) (|:| -1359 *3))
+     (-2 (|:| -4318 *2) (|:| -1359 *3))))))) 
+(((*1 *1 *2)
+  (-12 (-5 *2 (-656 (-656 *3))) (-4 *3 (-1067)) (-4 *1 (-699 *3 *4 *5))
+   (-4 *4 (-384 *3)) (-4 *5 (-384 *3))))
+ ((*1 *1 *2) (-12 (-5 *2 (-656 (-656 (-874)))) (-5 *1 (-874))))
+ ((*1 *2 *1)
+  (-12 (-5 *2 (-1160 *3 *4)) (-5 *1 (-1011 *3 *4)) (-14 *3 (-937))
+   (-4 *4 (-374))))
+ ((*1 *1 *2)
+  (-12 (-5 *2 (-656 (-656 *5))) (-4 *5 (-1067))
+   (-4 *1 (-1071 *3 *4 *5 *6 *7)) (-4 *6 (-244 *4 *5))
+   (-4 *7 (-244 *3 *5))))) 
+(((*1 *2 *1 *3 *3 *4)
+  (-12 (-5 *3 (-1 (-874) (-874) (-874))) (-5 *4 (-576)) (-5 *2 (-874))
+   (-5 *1 (-661 *5 *6 *7)) (-4 *5 (-1118)) (-4 *6 (-23)) (-14 *7 *6)))
+ ((*1 *2 *1 *2)
+  (-12 (-5 *2 (-874)) (-5 *1 (-866 *3 *4 *5)) (-4 *3 (-1067))
+   (-14 *4 (-99 *3)) (-14 *5 (-1 *3 *3))))
+ ((*1 *1 *2) (-12 (-5 *2 (-227)) (-5 *1 (-874))))
+ ((*1 *1 *2) (-12 (-5 *2 (-1177)) (-5 *1 (-874))))
+ ((*1 *1 *2) (-12 (-5 *2 (-1195)) (-5 *1 (-874))))
+ ((*1 *1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-874))))
+ ((*1 *2 *1 *2)
+  (-12 (-5 *2 (-874)) (-5 *1 (-1191 *3)) (-4 *3 (-1067))))) 
+(((*1 *2 *3 *3)
+  (-12 (-4 *2 (-568)) (-4 *2 (-464)) (-5 *1 (-987 *2 *3))
+   (-4 *3 (-1262 *2))))) 
+(((*1 *2 *3) (-12 (-5 *2 (-430 *3)) (-5 *1 (-570 *3)) (-4 *3 (-557))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1020)))))) 
+(((*1 *2 *1 *3 *3)
+  (-12 (-5 *3 (-576)) (-5 *2 (-1291)) (-5 *1 (-1288))))
+ ((*1 *2 *1 *3 *3)
+  (-12 (-5 *3 (-390)) (-5 *2 (-1291)) (-5 *1 (-1288))))) 
 (((*1 *2 *3)
   (-12 (-5 *3 (-1195))
    (-4 *4 (-13 (-464) (-1056 (-576)) (-651 (-576)))) (-5 *2 (-52))
@@ -80,57 +859,41 @@
  ((*1 *1 *2 *3)
   (-12 (-5 *2 (-419 (-576))) (-4 *4 (-1067)) (-4 *1 (-1269 *4 *3))
    (-4 *3 (-1246 *4))))) 
-(((*1 *1 *1) (-12 (-4 *1 (-384 *2)) (-4 *2 (-1236))))
- ((*1 *2 *2)
-  (-12 (-4 *3 (-1067)) (-5 *1 (-456 *3 *2)) (-4 *2 (-1262 *3))))
- ((*1 *1 *1)
-  (-12 (-5 *1 (-661 *2 *3 *4)) (-4 *2 (-1118)) (-4 *3 (-23))
-   (-14 *4 *3)))) 
-(((*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-942))))) 
+(((*1 *2 *1 *1)
+  (|partial| -12 (-4 *1 (-1083 *3 *4 *5)) (-4 *3 (-1067))
+      (-4 *4 (-805)) (-4 *5 (-862)) (-5 *2 (-112))))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *3 (-701 *8)) (-4 *8 (-965 *5 *7 *6))
-   (-4 *5 (-13 (-317) (-148))) (-4 *6 (-13 (-862) (-626 (-1195))))
-   (-4 *7 (-805))
-   (-5 *2
-    (-656
-     (-2 (|:| -3563 (-783))
-      (|:| |eqns|
-           (-656
-            (-2 (|:| |det| *8) (|:| |rows| (-656 (-576)))
-             (|:| |cols| (-656 (-576))))))
-      (|:| |fgb| (-656 *8)))))
-   (-5 *1 (-940 *5 *6 *7 *8)) (-5 *4 (-783))))) 
-(((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-942))))) 
-(((*1 *2 *3 *3 *4)
-  (-12 (-5 *4 (-112)) (-4 *5 (-13 (-374) (-860)))
-   (-5 *2 (-656 (-2 (|:| -3544 (-656 *3)) (|:| -2696 *5))))
-   (-5 *1 (-183 *5 *3)) (-4 *3 (-1262 (-171 *5)))))
- ((*1 *2 *3 *3)
-  (-12 (-4 *4 (-13 (-374) (-860)))
-   (-5 *2 (-656 (-2 (|:| -3544 (-656 *3)) (|:| -2696 *4))))
-   (-5 *1 (-183 *4 *3)) (-4 *3 (-1262 (-171 *4)))))) 
-(((*1 *1 *2 *3)
-  (-12 (-5 *2 (-836)) (-5 *3 (-656 (-1195))) (-5 *1 (-837))))) 
-(((*1 *2 *1)
-  (-12 (-5 *2 (-656 (-959 *4))) (-5 *1 (-1183 *3 *4)) (-14 *3 (-937))
-   (-4 *4 (-1067))))) 
+  (-12 (-5 *4 (-1195)) (-5 *2 (-1 (-227) (-227))) (-5 *1 (-715 *3))
+   (-4 *3 (-626 (-548)))))
+ ((*1 *2 *3 *4 *4)
+  (-12 (-5 *4 (-1195)) (-5 *2 (-1 (-227) (-227) (-227)))
+   (-5 *1 (-715 *3)) (-4 *3 (-626 (-548)))))) 
 (((*1 *2 *3)
-  (-12 (-4 *4 (-568)) (-4 *5 (-805)) (-4 *6 (-862)) (-5 *2 (-112))
-   (-5 *1 (-995 *4 *5 *6 *3)) (-4 *3 (-1083 *4 *5 *6))))) 
-(((*1 *1 *1 *1) (-12 (-5 *1 (-794 *2)) (-4 *2 (-568)) (-4 *2 (-1067))))
- ((*1 *2 *2 *2)
-  (-12 (-4 *3 (-568)) (-5 *1 (-987 *3 *2)) (-4 *2 (-1262 *3))))
- ((*1 *1 *1 *1)
-  (-12 (-4 *1 (-1083 *2 *3 *4)) (-4 *2 (-1067)) (-4 *3 (-805))
-   (-4 *4 (-862)) (-4 *2 (-568))))
- ((*1 *2 *3 *3 *1)
-  (-12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-862))
-   (-4 *3 (-1083 *4 *5 *6))
-   (-5 *2 (-656 (-2 (|:| |val| *3) (|:| -4071 *1))))
-   (-4 *1 (-1089 *4 *5 *6 *3))))) 
-(((*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-1118)) (-5 *1 (-91 *3))))) 
-(((*1 *1 *1)
-  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1067))))) 
+  (-12 (-5 *3 (-656 (-1177))) (-5 *2 (-1177)) (-5 *1 (-194))))
+ ((*1 *1 *2) (-12 (-5 *2 (-656 (-874))) (-5 *1 (-874))))) 
+(((*1 *1 *2 *3) (-12 (-5 *3 (-576)) (-5 *1 (-430 *2)) (-4 *2 (-568))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-1028 *3)) (-4 *3 (-1236)) (-5 *2 (-112))))
+ ((*1 *2 *1)
+  (-12 (-5 *2 (-112)) (-5 *1 (-1183 *3 *4)) (-14 *3 (-937))
+   (-4 *4 (-1067))))) 
+(((*1 *2 *3 *3)
+  (-12 (-4 *4 (-568)) (-5 *2 (-656 (-783))) (-5 *1 (-987 *4 *3))
+   (-4 *3 (-1262 *4))))) 
+(((*1 *2 *3 *4 *5 *6)
+  (|partial| -12 (-5 *4 (-1195)) (-5 *6 (-656 (-624 *3)))
+      (-5 *5 (-624 *3)) (-4 *3 (-13 (-27) (-1221) (-442 *7)))
+      (-4 *7 (-13 (-464) (-148) (-1056 (-576)) (-651 (-576))))
+      (-5 *2 (-2 (|:| -3849 *3) (|:| |coeff| *3)))
+      (-5 *1 (-569 *7 *3))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1020)))))) 
+(((*1 *1 *1 *2 *2 *2) (-12 (-5 *2 (-1112 (-227))) (-5 *1 (-942))))
+ ((*1 *1 *1 *2 *2) (-12 (-5 *2 (-1112 (-227))) (-5 *1 (-943))))
+ ((*1 *1 *1 *2) (-12 (-5 *2 (-1112 (-227))) (-5 *1 (-943))))
+ ((*1 *2 *1 *3 *3 *3)
+  (-12 (-5 *3 (-390)) (-5 *2 (-1291)) (-5 *1 (-1288))))
+ ((*1 *2 *1 *3) (-12 (-5 *3 (-390)) (-5 *2 (-1291)) (-5 *1 (-1288))))) 
 (((*1 *2 *3)
   (-12 (-5 *3 (-1195))
    (-4 *4 (-13 (-464) (-1056 (-576)) (-651 (-576)))) (-5 *2 (-52))
@@ -165,49 +928,32 @@
    (-4 *3 (-1277 *4))))
  ((*1 *2 *1)
   (-12 (-4 *1 (-1269 *3 *2)) (-4 *3 (-1067)) (-4 *2 (-1246 *3))))) 
+(((*1 *2 *1 *1)
+  (-12 (-4 *1 (-1083 *3 *4 *5)) (-4 *3 (-1067)) (-4 *4 (-805))
+   (-4 *5 (-862)) (-5 *2 (-112))))) 
 (((*1 *2 *3)
-  (-12 (-4 *4 (-568))
-   (-5 *2 (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| -3206 *4)))
-   (-5 *1 (-987 *4 *3)) (-4 *3 (-1262 *4))))) 
-(((*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 *2 *2 *3)
-  (|partial| -12 (-5 *3 (-783)) (-4 *1 (-1001 *2)) (-4 *2 (-1221))))) 
-(((*1 *2 *3)
-  (-12 (-4 *1 (-925)) (-5 *2 (-430 (-1191 *1))) (-5 *3 (-1191 *1))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-905 *3)) (-4 *3 (-1118))))) 
-(((*1 *2 *1)
-  (-12 (-4 *2 (-965 *3 *5 *4)) (-5 *1 (-1005 *3 *4 *5 *2))
-   (-4 *3 (-464)) (-4 *4 (-862)) (-4 *5 (-805))))) 
-(((*1 *2 *3)
-  (-12 (-5 *2 (-1 (-959 *3) (-959 *3))) (-5 *1 (-178 *3))
-   (-4 *3 (-13 (-374) (-1221) (-1020)))))
- ((*1 *2)
-  (|partial| -12 (-4 *4 (-1240)) (-4 *5 (-1262 (-419 *2)))
-      (-4 *2 (-1262 *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 (-1240))
-      (-4 *4 (-1262 (-419 *2))) (-4 *2 (-1262 *3))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-3 (|:| |fst| (-446)) (|:| -2446 "void")))
-   (-5 *2 (-1291)) (-5 *1 (-1198))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-1195))
-   (-5 *4 (-3 (|:| |fst| (-446)) (|:| -2446 "void"))) (-5 *2 (-1291))
-   (-5 *1 (-1198))))
- ((*1 *2 *3 *4 *1)
-  (-12 (-5 *3 (-1195))
-   (-5 *4 (-3 (|:| |fst| (-446)) (|:| -2446 "void"))) (-5 *2 (-1291))
-   (-5 *1 (-1198))))) 
+  (-12 (-5 *3 (-1195)) (-5 *2 (-1 *7 *5 *6)) (-5 *1 (-714 *4 *5 *6 *7))
+   (-4 *4 (-626 (-548))) (-4 *5 (-1236)) (-4 *6 (-1236))
+   (-4 *7 (-1236))))) 
 (((*1 *1 *2) (-12 (-5 *2 (-656 (-874))) (-5 *1 (-874))))) 
-(((*1 *2 *3 *4 *5)
-  (-12 (-5 *3 (-1 *2 *6)) (-5 *4 (-1 *6 *5)) (-4 *5 (-1118))
-   (-4 *6 (-1118)) (-4 *2 (-1118)) (-5 *1 (-692 *5 *6 *2))))) 
-(((*1 *2 *2 *3)
-  (-12 (-5 *2 (-656 *3)) (-4 *3 (-317)) (-5 *1 (-181 *3))))) 
+(((*1 *2 *1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-430 *3)) (-4 *3 (-568))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-112)) (-5 *1 (-1183 *3 *4)) (-14 *3 (-937))
+   (-4 *4 (-1067))))) 
+(((*1 *2 *3 *3)
+  (-12 (-4 *4 (-568)) (-5 *2 (-656 *3)) (-5 *1 (-987 *4 *3))
+   (-4 *3 (-1262 *4))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *4 (-1195))
+   (-4 *5 (-13 (-464) (-148) (-1056 (-576)) (-651 (-576))))
+   (-5 *2 (-598 *3)) (-5 *1 (-569 *5 *3))
+   (-4 *3 (-13 (-27) (-1221) (-442 *5)))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-656 (-1177))) (-5 *1 (-340))))
+ ((*1 *1 *2) (-12 (-5 *2 (-1177)) (-5 *1 (-340))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1020)))))) 
+(((*1 *2 *1 *3) (-12 (-5 *3 (-1177)) (-5 *2 (-1291)) (-5 *1 (-1288))))) 
 (((*1 *2 *3)
   (-12 (-5 *3 (-1195))
    (-4 *4 (-13 (-464) (-1056 (-576)) (-651 (-576)))) (-5 *2 (-52))
@@ -250,66 +996,54 @@
    (-5 *1 (-471 *7 *3))))
  ((*1 *2 *1)
   (-12 (-4 *1 (-1248 *3 *2)) (-4 *3 (-1067)) (-4 *2 (-1277 *3))))) 
-(((*1 *2 *2 *2 *3)
-  (-12 (-5 *3 (-783)) (-4 *4 (-568)) (-5 *1 (-987 *4 *2))
-   (-4 *2 (-1262 *4))))) 
-(((*1 *2 *1 *2)
-  (-12 (-4 *1 (-375 *3 *2)) (-4 *3 (-1118)) (-4 *2 (-1118))))) 
-(((*1 *2)
-  (-12 (-5 *2 (-1291)) (-5 *1 (-1213 *3 *4)) (-4 *3 (-1118))
-   (-4 *4 (-1118))))) 
-(((*1 *2 *3 *3)
-  (-12 (-4 *4 (-464)) (-4 *4 (-568))
-   (-5 *2 (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| -3724 *4)))
-   (-5 *1 (-987 *4 *3)) (-4 *3 (-1262 *4))))) 
+(((*1 *1 *1 *1 *2)
+  (-12 (-4 *1 (-1083 *3 *4 *2)) (-4 *3 (-1067)) (-4 *4 (-805))
+   (-4 *2 (-862))))
+ ((*1 *1 *1 *1)
+  (-12 (-4 *1 (-1083 *2 *3 *4)) (-4 *2 (-1067)) (-4 *3 (-805))
+   (-4 *4 (-862))))) 
+(((*1 *2) (-12 (-5 *2 (-937)) (-5 *1 (-713))))
+ ((*1 *2 *2) (-12 (-5 *2 (-937)) (-5 *1 (-713))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-656 (-874))) (-5 *1 (-874))))) 
+(((*1 *2 *1 *3)
+  (-12 (-5 *3 (-576)) (-5 *2 (-3 "nil" "sqfr" "irred" "prime"))
+   (-5 *1 (-430 *4)) (-4 *4 (-568))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-112)) (-5 *1 (-1183 *3 *4)) (-14 *3 (-937))
+   (-4 *4 (-1067))))) 
 (((*1 *2 *3)
-  (|partial| -12 (-4 *2 (-1118)) (-5 *1 (-1213 *3 *2)) (-4 *3 (-1118))))) 
-(((*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 (-1157)))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 *8)) (-5 *4 (-656 *7)) (-4 *7 (-862))
-   (-4 *8 (-965 *5 *6 *7)) (-4 *5 (-568)) (-4 *6 (-805))
-   (-5 *2
-    (-2 (|:| |particular| (-3 (-1286 (-419 *8)) "failed"))
-     (|:| -4093 (-656 (-1286 (-419 *8))))))
-   (-5 *1 (-681 *5 *6 *7 *8))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-701 *3)) (-4 *3 (-317)) (-5 *1 (-712 *3))))) 
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   (-12 (-4 *4 (-568))
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+   (-5 *2 (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| -2790 *4)))
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 (((*1 *2 *3 *4 *5)
   (|partial| -12 (-5 *4 (-1195)) (-5 *5 (-656 *3))
       (-4 *3 (-13 (-27) (-1221) (-442 *6)))
@@ -320,2352 +1054,730 @@
              (-656 (-2 (|:| |coeff| *3) (|:| |logand| *3))))))
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-            (|:| |endPointContinuity|
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-                  (|:| |lowerSingular|
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-                  (|:| |upperSingular|
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-                  (|:| |bothSingular|
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-                  (|:| |notEvaluated|
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-            (|:| -2055
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-                  (|:| |lowerInfinite|
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-                  (|:| |upperInfinite| "The top of range is infinite")
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-                  (|:| |notEvaluated| "Range not yet evaluated"))))))))
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-   (-5 *1 (-766))))) 
-(((*1 *2 *3 *4 *4 *5 *3)
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-(((*1 *2 *1) (-12 (-5 *2 (-1291)) (-5 *1 (-834))))) 
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 (((*1 *2 *3 *3)
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@@ -2682,72 +1794,273 @@
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-     (|:| |wcond| (-656 (-968 *9)))
-     (|:| |bsoln|
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 (((*1 *2 *3 *4)
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 (((*1 *2 *1)
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 (((*1 *2 *3)
   (-12 (-5 *3 (-781))
    (-5 *2
-    (-2 (|:| -3944 (-390)) (|:| -2041 (-1177))
+    (-2 (|:| -4037 (-390)) (|:| -1778 (-1177))
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   (-12 (-5 *3 (-781)) (-5 *4 (-1081))
    (-5 *2
-    (-2 (|:| -3944 (-390)) (|:| -2041 (-1177))
+    (-2 (|:| -4037 (-390)) (|:| -1778 (-1177))
      (|:| |explanations| (-656 (-1177))) (|:| |extra| (-1053))))
    (-5 *1 (-577))))
  ((*1 *2 *3 *4)
   (-12 (-4 *1 (-799)) (-5 *3 (-1081))
    (-5 *4
     (-2 (|:| |fn| (-326 (-227)))
-     (|:| -2055 (-656 (-1112 (-855 (-227))))) (|:| |abserr| (-227))
+     (|:| -1908 (-656 (-1112 (-855 (-227))))) (|:| |abserr| (-227))
      (|:| |relerr| (-227))))
    (-5 *2
-    (-2 (|:| -3944 (-390)) (|:| |explanations| (-1177))
+    (-2 (|:| -4037 (-390)) (|:| |explanations| (-1177))
      (|:| |extra| (-1053))))))
  ((*1 *2 *3 *4)
   (-12 (-4 *1 (-799)) (-5 *3 (-1081))
    (-5 *4
     (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227)))
-     (|:| -2055 (-1112 (-855 (-227)))) (|:| |abserr| (-227))
+     (|:| -1908 (-1112 (-855 (-227)))) (|:| |abserr| (-227))
      (|:| |relerr| (-227))))
    (-5 *2
-    (-2 (|:| -3944 (-390)) (|:| |explanations| (-1177))
+    (-2 (|:| -4037 (-390)) (|:| |explanations| (-1177))
      (|:| |extra| (-1053))))))
  ((*1 *2 *3 *4)
   (-12 (-4 *1 (-812)) (-5 *3 (-1081))
@@ -2756,41 +2069,41 @@
      (|:| |fn| (-1286 (-326 (-227)))) (|:| |yinit| (-656 (-227)))
      (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227)))
      (|:| |abserr| (-227)) (|:| |relerr| (-227))))
-   (-5 *2 (-2 (|:| -3944 (-390)) (|:| |explanations| (-1177))))))
+   (-5 *2 (-2 (|:| -4037 (-390)) (|:| |explanations| (-1177))))))
  ((*1 *2 *3)
   (-12 (-5 *3 (-820))
    (-5 *2
-    (-2 (|:| -3944 (-390)) (|:| -2041 (-1177))
+    (-2 (|:| -4037 (-390)) (|:| -1778 (-1177))
      (|:| |explanations| (-656 (-1177)))))
    (-5 *1 (-817))))
  ((*1 *2 *3 *4)
   (-12 (-5 *3 (-820)) (-5 *4 (-1081))
    (-5 *2
-    (-2 (|:| -3944 (-390)) (|:| -2041 (-1177))
+    (-2 (|:| -4037 (-390)) (|:| -1778 (-1177))
      (|:| |explanations| (-656 (-1177)))))
    (-5 *1 (-817))))
  ((*1 *2 *3 *4)
   (-12 (-4 *1 (-851)) (-5 *3 (-1081))
    (-5 *4
-    (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3796 (-656 (-227)))))
-   (-5 *2 (-2 (|:| -3944 (-390)) (|:| |explanations| (-1177))))))
+    (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3475 (-656 (-227)))))
+   (-5 *2 (-2 (|:| -4037 (-390)) (|:| |explanations| (-1177))))))
  ((*1 *2 *3 *4)
   (-12 (-4 *1 (-851)) (-5 *3 (-1081))
    (-5 *4
-    (-2 (|:| |fn| (-326 (-227))) (|:| -3796 (-656 (-227)))
+    (-2 (|:| |fn| (-326 (-227))) (|:| -3475 (-656 (-227)))
      (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227))))
      (|:| |ub| (-656 (-855 (-227))))))
-   (-5 *2 (-2 (|:| -3944 (-390)) (|:| |explanations| (-1177))))))
+   (-5 *2 (-2 (|:| -4037 (-390)) (|:| |explanations| (-1177))))))
  ((*1 *2 *3)
   (-12 (-5 *3 (-853))
    (-5 *2
-    (-2 (|:| -3944 (-390)) (|:| -2041 (-1177))
+    (-2 (|:| -4037 (-390)) (|:| -1778 (-1177))
      (|:| |explanations| (-656 (-1177)))))
    (-5 *1 (-852))))
  ((*1 *2 *3 *4)
   (-12 (-5 *3 (-853)) (-5 *4 (-1081))
    (-5 *2
-    (-2 (|:| -3944 (-390)) (|:| -2041 (-1177))
+    (-2 (|:| -4037 (-390)) (|:| -1778 (-1177))
      (|:| |explanations| (-656 (-1177)))))
    (-5 *1 (-852))))
  ((*1 *2 *3 *4)
@@ -2804,565 +2117,213 @@
             (|:| |dStart| (-701 (-227))) (|:| |dFinish| (-701 (-227))))))
      (|:| |f| (-656 (-656 (-326 (-227))))) (|:| |st| (-1177))
      (|:| |tol| (-227))))
-   (-5 *2 (-2 (|:| -3944 (-390)) (|:| |explanations| (-1177))))))
+   (-5 *2 (-2 (|:| -4037 (-390)) (|:| |explanations| (-1177))))))
  ((*1 *2 *3)
   (-12 (-5 *3 (-913))
    (-5 *2
-    (-2 (|:| -3944 (-390)) (|:| -2041 (-1177))
+    (-2 (|:| -4037 (-390)) (|:| -1778 (-1177))
      (|:| |explanations| (-656 (-1177)))))
    (-5 *1 (-912))))
  ((*1 *2 *3 *4)
   (-12 (-5 *3 (-913)) (-5 *4 (-1081))
    (-5 *2
-    (-2 (|:| -3944 (-390)) (|:| -2041 (-1177))
+    (-2 (|:| -4037 (-390)) (|:| -1778 (-1177))
      (|:| |explanations| (-656 (-1177)))))
    (-5 *1 (-912))))) 
-(((*1 *1 *2 *3) (-12 (-5 *2 (-1122)) (-5 *3 (-786)) (-5 *1 (-52))))) 
-(((*1 *2 *3 *4 *5)
-  (-12 (-5 *4 (-656 *7)) (-5 *5 (-656 (-656 *8))) (-4 *7 (-862))
-   (-4 *8 (-317)) (-4 *6 (-805)) (-4 *9 (-965 *8 *6 *7))
-   (-5 *2
-    (-2 (|:| |unitPart| *9)
-     (|:| |suPart|
-          (-656 (-2 (|:| -4205 (-1191 *9)) (|:| -2300 (-576)))))))
-   (-5 *1 (-754 *6 *7 *8 *9)) (-5 *3 (-1191 *9))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-401)) (-5 *2 (-112))))) 
-(((*1 *2 *3)
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-   (-4 *6 (-1118)) (-5 *2 (-1 *6 *5 *4)) (-5 *1 (-696 *4 *5 *6))))) 
-(((*1 *2 *3)
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-(((*1 *1 *1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-390))))
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- ((*1 *1 *1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-783))))) 
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-(((*1 *2 *3) (-12 (-5 *3 (-783)) (-5 *2 (-1 (-390))) (-5 *1 (-1058))))) 
-(((*1 *2)
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-(((*1 *2 *2)
+    (-13 (-862)
+     (-10 -8 (-15 -2071 ((-1177) $ (-1195))) (-15 -2483 ((-1291) $))
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-   (-14 *4 *2)))) 
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+  (|partial| -12 (-4 *3 (-374)) (-5 *1 (-911 *2 *3))
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 (((*1 *2 *3)
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-   (-5 *2
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-  (-12 (-4 *3 (-13 (-568) (-1056 (-576)))) (-5 *2 (-1291))
-   (-5 *1 (-445 *3 *4)) (-4 *4 (-442 *3))))) 
+  (-12 (-5 *2 (-576)) (-5 *1 (-457 *3)) (-4 *3 (-416)) (-4 *3 (-1067))))) 
 (((*1 *2 *1)
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+(((*1 *2 *2 *3)
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-     (|:| |relerr| (-227))))))
- ((*1 *2 *3 *2)
-  (-12 (-4 *1 (-799)) (-5 *2 (-1053))
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+   (-5 *1 (-601 *5))))) 
+(((*1 *2 *3)
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    (-5 *3
-    (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227)))
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-  (-12 (-5 *2 (-1301 (-1195) *3)) (-4 *3 (-1067)) (-5 *1 (-1308 *3))))
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-(((*1 *1 *1 *2)
-  (-12 (-5 *2 (-3 (-112) "failed")) (-4 *3 (-464)) (-4 *4 (-862))
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- ((*1 *2 *2 *2)
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- ((*1 *2 *2)
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- ((*1 *2 *2)
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-(((*1 *2 *1 *2) (-12 (-5 *2 (-656 (-1177))) (-5 *1 (-406))))
- ((*1 *2 *1 *2) (-12 (-5 *2 (-656 (-1177))) (-5 *1 (-1216))))) 
-(((*1 *2) (-12 (-5 *2 (-1177)) (-5 *1 (-247))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-905 *3)) (-4 *3 (-1118))))) 
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-  (-12 (-4 *3 (-568)) (-5 *2 (-656 (-701 *3))) (-5 *1 (-43 *3 *4))
-   (-4 *4 (-429 *3))))) 
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-  (-12 (-5 *3 (-1177)) (-5 *4 (-1138)) (-5 *2 (-112)) (-5 *1 (-833))))) 
-(((*1 *1 *1) (-5 *1 (-1081)))) 
-(((*1 *2 *3 *4 *4 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1053))
-   (-5 *1 (-763))))) 
+    (-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| (-1175 (-227)))
+           (|:| |notEvaluated|
+                "Internal singularities not yet evaluated")))
+     (|:| -1908
+          (-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 (-1053)) (-5 *1 (-315))))) 
+(((*1 *2 *3)
+  (|partial| -12 (-5 *3 (-1286 *4)) (-4 *4 (-13 (-1067) (-651 (-576))))
+      (-5 *2 (-1286 (-576))) (-5 *1 (-1314 *4))))) 
+(((*1 *2 *3 *3)
+  (-12 (-5 *3 (-656 *7)) (-4 *7 (-1083 *4 *5 *6)) (-4 *4 (-464))
+   (-4 *5 (-805)) (-4 *6 (-862)) (-5 *2 (-112))
+   (-5 *1 (-1006 *4 *5 *6 *7 *8)) (-4 *8 (-1089 *4 *5 *6 *7))))
+ ((*1 *2 *3 *3)
+  (-12 (-5 *3 (-656 *7)) (-4 *7 (-1083 *4 *5 *6)) (-4 *4 (-464))
+   (-4 *5 (-805)) (-4 *6 (-862)) (-5 *2 (-112))
+   (-5 *1 (-1125 *4 *5 *6 *7 *8)) (-4 *8 (-1089 *4 *5 *6 *7))))) 
+(((*1 *2 *3 *3 *3 *3 *4 *3 *3 *3 *3 *3 *3 *5 *5 *4 *3 *6 *7)
+  (-12 (-5 *3 (-576)) (-5 *5 (-701 (-227)))
+   (-5 *6 (-3 (|:| |fn| (-400)) (|:| |fp| (-75 FCN JACOBF JACEPS))))
+   (-5 *7 (-3 (|:| |fn| (-400)) (|:| |fp| (-76 G JACOBG JACGEP))))
+   (-5 *4 (-227)) (-5 *2 (-1053)) (-5 *1 (-761))))) 
 (((*1 *2 *3)
   (-12 (-4 *1 (-910))
    (-5 *3
@@ -3375,1178 +2336,996 @@
      (|:| |f| (-656 (-656 (-326 (-227))))) (|:| |st| (-1177))
      (|:| |tol| (-227))))
    (-5 *2 (-1053))))) 
-(((*1 *1 *2 *3)
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- ((*1 *2 *3 *4)
-  (-12 (-5 *4 (-576)) (-5 *2 (-1175 *3)) (-5 *1 (-1179 *3))
-   (-4 *3 (-1067))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-831 *4)) (-4 *4 (-862)) (-4 *1 (-1303 *4 *3))
-   (-4 *3 (-1067))))) 
-(((*1 *1 *1)
-  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1067))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 *8)) (-5 *4 (-112)) (-4 *8 (-1083 *5 *6 *7))
-   (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-862)) (-5 *2 (-656 *10))
-   (-5 *1 (-636 *5 *6 *7 *8 *9 *10)) (-4 *9 (-1089 *5 *6 *7 *8))
-   (-4 *10 (-1127 *5 *6 *7 *8))))
- ((*1 *2 *3 *4)
-  (-12 (-5 *3 (-656 (-792 *5 (-876 *6)))) (-5 *4 (-112)) (-4 *5 (-464))
-   (-14 *6 (-656 (-1195))) (-5 *2 (-656 (-1064 *5 *6)))
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 (((*1 *2 *3)
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@@ -4555,478 +3334,1133 @@
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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")))
+           (|:| -1908
+                (-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")))))))
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 (((*1 *2 *3 *4)
   (-12 (-5 *3 (-304 (-419 (-968 *5)))) (-5 *4 (-1195))
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@@ -5313,246 +4875,543 @@
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@@ -5561,940 +5420,1443 @@
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 (((*1 *2 *1)
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+            (|:| |relerr| (-227))))
+      (|:| -3180
+           (-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| (-1175 (-227)))
+                  (|:| |notEvaluated|
+                       "Internal singularities not yet evaluated")))
+            (|:| -1908
+                 (-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"))))))))
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    (-5 *3
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-(((*1 *2 *1) (-12 (-4 *1 (-312)) (-5 *2 (-656 (-115)))))) 
+    (-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| (-1175 (-227)))
+           (|:| |notEvaluated|
+                "Internal singularities not yet evaluated")))
+     (|:| -1908
+          (-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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-  (-12 (-4 *1 (-1264 *3 *2)) (-4 *3 (-1067)) (-4 *2 (-804))))) 
-(((*1 *2 *3 *3 *4 *4)
-  (|partial| -12 (-5 *3 (-783)) (-4 *5 (-374)) (-5 *2 (-419 *6))
-      (-5 *1 (-879 *5 *4 *6)) (-4 *4 (-1277 *5)) (-4 *6 (-1262 *5))))
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-      (-5 *1 (-880 *5 *6 *7))))) 
+  (-12 (-4 *4 (-568)) (-5 *2 (-783)) (-5 *1 (-43 *4 *3))
+   (-4 *3 (-429 *4))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-656 (-937))) (-5 *2 (-656 (-701 (-576))))
+   (-5 *1 (-1128))))) 
+(((*1 *2 *3 *4 *5 *5 *5 *5 *6 *4 *4 *4 *4 *4 *5 *4 *5 *5 *4)
+  (-12 (-5 *3 (-1177)) (-5 *4 (-576)) (-5 *5 (-701 (-227)))
+   (-5 *6 (-227)) (-5 *2 (-1053)) (-5 *1 (-764))))) 
+(((*1 *1 *2 *2)
+  (-12
+   (-5 *2
+    (-3 (|:| I (-326 (-576))) (|:| -3030 (-326 (-390)))
+     (|:| CF (-326 (-171 (-390)))) (|:| |switch| (-1194))))
+   (-5 *1 (-1194))))) 
+(((*1 *2 *2 *3)
+  (|partial| -12 (-5 *2 (-656 (-1191 *7))) (-5 *3 (-1191 *7))
+      (-4 *7 (-965 *4 *5 *6)) (-4 *4 (-925)) (-4 *5 (-805))
+      (-4 *6 (-862)) (-5 *1 (-922 *4 *5 *6 *7))))
+ ((*1 *2 *2 *3)
+  (|partial| -12 (-5 *2 (-656 (-1191 *5))) (-5 *3 (-1191 *5))
+      (-4 *5 (-1262 *4)) (-4 *4 (-925)) (-5 *1 (-923 *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)))
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+   (-5 *1 (-461 *5 *6 *7 *4))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-1175 *3)) (-5 *1 (-176 *3)) (-4 *3 (-317))))) 
 (((*1 *2 *2)
-  (-12 (-4 *3 (-13 (-374) (-860))) (-5 *1 (-183 *3 *2))
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-(((*1 *2 *2 *1)
-  (-12 (-4 *1 (-1229 *3 *4 *5 *2)) (-4 *3 (-568)) (-4 *4 (-805))
-   (-4 *5 (-862)) (-4 *2 (-1083 *3 *4 *5))))) 
+  (-12 (-4 *3 (-464)) (-5 *1 (-1227 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1221)))))) 
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+  (-12 (-5 *3 (-115)) (-5 *4 (-783))
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+   (-4 *2
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+     (-10 -8 (-15 -1595 ((-1143 *5 (-624 $)) $))
+      (-15 -1608 ((-1143 *5 (-624 $)) $))
+      (-15 -2884 ($ (-1143 *5 (-624 $)))))))))) 
 (((*1 *2 *1)
-  (-12 (-5 *2 (-703 (-982 *3))) (-5 *1 (-982 *3)) (-4 *3 (-1118))))) 
+  (-12 (-4 *2 (-965 *3 *5 *4)) (-5 *1 (-1005 *3 *4 *5 *2))
+   (-4 *3 (-464)) (-4 *4 (-862)) (-4 *5 (-805))))) 
+(((*1 *1 *1)
+  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1067))))) 
+(((*1 *1 *1 *1 *2)
+  (-12 (-5 *2 (-783)) (-4 *1 (-336 *3 *4)) (-4 *3 (-1067))
+   (-4 *4 (-804)) (-4 *3 (-174))))) 
+(((*1 *2 *3) (-12 (-5 *3 (-1177)) (-5 *2 (-322)) (-5 *1 (-306))))
+ ((*1 *2 *3)
+  (-12 (-5 *3 (-656 (-1177))) (-5 *2 (-322)) (-5 *1 (-306))))
+ ((*1 *2 *3 *3) (-12 (-5 *3 (-1177)) (-5 *2 (-322)) (-5 *1 (-306))))
+ ((*1 *2 *3 *4)
+  (-12 (-5 *4 (-656 (-1177))) (-5 *3 (-1177)) (-5 *2 (-322))
+   (-5 *1 (-306))))) 
+(((*1 *2 *2 *2 *3)
+  (-12 (-5 *2 (-656 (-576))) (-5 *3 (-701 (-576))) (-5 *1 (-1128))))) 
+(((*1 *2 *3 *4 *5 *4 *5 *5 *6 *4 *4 *4 *4 *4 *5 *4 *5 *5 *7 *4)
+  (-12 (-5 *3 (-1177)) (-5 *5 (-701 (-227))) (-5 *6 (-227))
+   (-5 *7 (-701 (-576))) (-5 *4 (-576)) (-5 *2 (-1053)) (-5 *1 (-764))))) 
+(((*1 *2 *2 *3 *4)
+  (|partial| -12 (-5 *2 (-656 (-1191 *7))) (-5 *3 (-1191 *7))
+      (-4 *7 (-965 *5 *6 *4)) (-4 *5 (-925)) (-4 *6 (-805))
+      (-4 *4 (-862)) (-5 *1 (-922 *5 *6 *4 *7))))) 
+(((*1 *2 *3 *4 *4 *2 *2 *2)
+  (-12 (-5 *2 (-576))
+   (-5 *3
+    (-2 (|:| |lcmfij| *6) (|:| |totdeg| (-783)) (|:| |poli| *4)
+     (|:| |polj| *4)))
+   (-4 *6 (-805)) (-4 *4 (-965 *5 *6 *7)) (-4 *5 (-464)) (-4 *7 (-862))
+   (-5 *1 (-461 *5 *6 *7 *4))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-173))))) 
 (((*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 (-905 *2)) (-4 *2 (-1118))))
@@ -6502,77 +6864,80 @@
  ((*1 *1 *1)
   (-12 (-5 *1 (-1158 *2 *3)) (-4 *2 (-13 (-1118) (-34)))
    (-4 *3 (-13 (-1118) (-34)))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-862)) (-5 *2 (-783))
-   (-5 *1 (-461 *4 *5 *6 *3)) (-4 *3 (-965 *4 *5 *6))))) 
-(((*1 *2 *3 *2) (-12 (-5 *2 (-1053)) (-5 *3 (-1195)) (-5 *1 (-276))))) 
-(((*1 *2 *3 *3 *3 *4 *4 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1053))
-   (-5 *1 (-767))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-1153)) (-5 *2 (-703 (-290))) (-5 *1 (-169))))) 
-(((*1 *2 *3 *4 *4 *4 *5 *4 *6 *6 *3)
+(((*1 *2 *2)
+  (-12 (-4 *3 (-464)) (-5 *1 (-1227 *3 *2))
+   (-4 *2 (-13 (-442 *3) (-1221)))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-13 (-464) (-1056 (-576)))) (-4 *3 (-568))
+   (-5 *1 (-41 *3 *2)) (-4 *2 (-442 *3))
+   (-4 *2
+    (-13 (-374) (-312)
+     (-10 -8 (-15 -1595 ((-1143 *3 (-624 $)) $))
+      (-15 -1608 ((-1143 *3 (-624 $)) $))
+      (-15 -2884 ($ (-1143 *3 (-624 $)))))))))) 
+(((*1 *1 *1)
+  (-12 (-4 *2 (-464)) (-4 *3 (-862)) (-4 *4 (-805))
+   (-5 *1 (-1005 *2 *3 *4 *5)) (-4 *5 (-965 *2 *4 *3))))) 
+(((*1 *1 *1)
+  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1067))))) 
+(((*1 *2 *1 *3)
+  (-12 (-5 *3 (-576)) (-4 *1 (-333 *4 *2)) (-4 *4 (-1118))
+   (-4 *2 (-132))))) 
+(((*1 *2 *2 *3)
+  (-12 (-4 *3 (-374)) (-5 *1 (-295 *3 *2)) (-4 *2 (-1277 *3))))) 
+(((*1 *2 *3 *3 *3)
+  (-12 (-5 *3 (-656 (-576))) (-5 *2 (-701 (-576))) (-5 *1 (-1128))))) 
+(((*1 *2 *3 *3 *3 *4 *4 *4 *4 *4 *5 *3 *3 *3 *6 *4 *3)
   (-12 (-5 *4 (-701 (-227))) (-5 *5 (-701 (-576))) (-5 *6 (-227))
-   (-5 *3 (-576)) (-5 *2 (-1053)) (-5 *1 (-763))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-576)) (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-862))
-   (-5 *2 (-1291)) (-5 *1 (-461 *4 *5 *6 *7)) (-4 *7 (-965 *4 *5 *6))))) 
-(((*1 *2 *3 *4 *3 *4 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1053))
-   (-5 *1 (-768))))) 
-(((*1 *2 *3 *2 *3)
-  (-12 (-5 *2 (-449)) (-5 *3 (-1195)) (-5 *1 (-1198))))
- ((*1 *2 *3 *2) (-12 (-5 *2 (-449)) (-5 *3 (-1195)) (-5 *1 (-1198))))
- ((*1 *2 *3 *2 *4 *1)
-  (-12 (-5 *2 (-449)) (-5 *3 (-656 (-1195))) (-5 *4 (-1195))
-   (-5 *1 (-1198))))
- ((*1 *2 *3 *2 *3 *1)
-  (-12 (-5 *2 (-449)) (-5 *3 (-1195)) (-5 *1 (-1198))))
- ((*1 *2 *3 *2 *1)
-  (-12 (-5 *2 (-449)) (-5 *3 (-1195)) (-5 *1 (-1199))))
- ((*1 *2 *3 *2 *1)
-  (-12 (-5 *2 (-449)) (-5 *3 (-656 (-1195))) (-5 *1 (-1199))))) 
+   (-5 *3 (-576)) (-5 *2 (-1053)) (-5 *1 (-764))))) 
+(((*1 *2 *1)
+  (-12 (-4 *3 (-374)) (-4 *4 (-805)) (-4 *5 (-862)) (-5 *2 (-656 *6))
+   (-5 *1 (-516 *3 *4 *5 *6)) (-4 *6 (-965 *3 *4 *5))))
+ ((*1 *2 *1)
+  (-12 (-5 *2 (-656 (-921 *3))) (-5 *1 (-920 *3)) (-4 *3 (-1118))))) 
 (((*1 *2 *3)
-  (-12
-   (-5 *3
-    (-2 (|:| |xinit| (-227)) (|:| |xend| (-227))
-     (|:| |fn| (-1286 (-326 (-227)))) (|:| |yinit| (-656 (-227)))
-     (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227)))
-     (|:| |abserr| (-227)) (|:| |relerr| (-227))))
-   (-5 *2 (-390)) (-5 *1 (-207))))) 
+  (-12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-862)) (-5 *2 (-1291))
+   (-5 *1 (-461 *4 *5 *6 *3)) (-4 *3 (-965 *4 *5 *6))))) 
+(((*1 *2 *1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-173))))) 
 (((*1 *2 *2)
   (-12 (-4 *3 (-464)) (-5 *1 (-1227 *3 *2))
    (-4 *2 (-13 (-442 *3) (-1221)))))) 
-(((*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 -1398)))) (-5 *3 (-227))
-   (-5 *2 (-1053)) (-5 *1 (-760))))) 
-(((*1 *2 *3)
-  (-12
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-   (-5 *2 (-390)) (-5 *1 (-276))))
- ((*1 *2 *3)
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 (((*1 *2 *2)
-  (-12
-   (-5 *2
-    (-2 (|:| |fn| (-326 (-227))) (|:| -3796 (-656 (-227)))
-     (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227))))
-     (|:| |ub| (-656 (-855 (-227))))))
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-(((*1 *2 *1 *3) (-12 (-5 *3 (-390)) (-5 *2 (-1291)) (-5 *1 (-1288))))) 
-(((*1 *2) (-12 (-5 *2 (-1195)) (-5 *1 (-1198))))) 
+  (-12 (-4 *3 (-13 (-464) (-1056 (-576)))) (-4 *3 (-568))
+   (-5 *1 (-41 *3 *2)) (-4 *2 (-442 *3))
+   (-4 *2
+    (-13 (-374) (-312)
+     (-10 -8 (-15 -1595 ((-1143 *3 (-624 $)) $))
+      (-15 -1608 ((-1143 *3 (-624 $)) $))
+      (-15 -2884 ($ (-1143 *3 (-624 $)))))))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-968 *4)) (-4 *4 (-13 (-317) (-148)))
-   (-4 *2 (-965 *4 *6 *5)) (-5 *1 (-940 *4 *5 *6 *2))
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-(((*1 *2 *1 *3) (-12 (-5 *3 (-1195)) (-5 *2 (-1291)) (-5 *1 (-834))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-378 *2)) (-4 *2 (-174))))) 
-(((*1 *1 *2 *1) (-12 (-5 *2 (-109)) (-5 *1 (-1103))))) 
-(((*1 *2 *1 *3) (-12 (-5 *3 (-576)) (-5 *2 (-1291)) (-5 *1 (-834))))) 
+  (-12 (-4 *3 (-1262 *2)) (-4 *2 (-1262 *4))
+   (-5 *1 (-1003 *4 *2 *3 *5)) (-4 *4 (-360)) (-4 *5 (-736 *2 *3))))) 
+(((*1 *1 *1)
+  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1067))))) 
+(((*1 *1 *2 *1)
+  (-12 (-5 *2 (-1 *4 *4)) (-4 *1 (-333 *3 *4)) (-4 *3 (-1118))
+   (-4 *4 (-132))))) 
+(((*1 *2 *3)
+  (|partial| -12 (-4 *4 (-1240)) (-4 *5 (-1262 *4))
+      (-5 *2 (-2 (|:| |radicand| (-419 *5)) (|:| |deg| (-783))))
+      (-5 *1 (-149 *4 *5 *3)) (-4 *3 (-1262 (-419 *5)))))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1053)) (-5 *1 (-770))))) 
+  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-862))
+   (-4 *3 (-1083 *5 *6 *7))
+   (-5 *2 (-656 (-2 (|:| |val| *3) (|:| -4271 *4))))
+   (-5 *1 (-1126 *5 *6 *7 *3 *4)) (-4 *4 (-1089 *5 *6 *7 *3))))) 
+(((*1 *2 *3 *4 *5 *5 *5 *6 *4 *4 *4 *5 *4 *5 *7)
+  (-12 (-5 *3 (-1177)) (-5 *5 (-701 (-227))) (-5 *6 (-227))
+   (-5 *7 (-701 (-576))) (-5 *4 (-576)) (-5 *2 (-1053)) (-5 *1 (-764))))) 
+(((*1 *2 *1)
+  (-12 (-5 *2 (-656 (-921 *3))) (-5 *1 (-920 *3)) (-4 *3 (-1118))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-862)) (-5 *2 (-576))
+   (-5 *1 (-461 *4 *5 *6 *3)) (-4 *3 (-965 *4 *5 *6))))) 
+(((*1 *1) (-5 *1 (-340)))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-1153)) (-5 *2 (-703 (-290))) (-5 *1 (-169))))) 
 (((*1 *2 *1 *3 *3 *2)
   (-12 (-5 *3 (-576)) (-4 *1 (-57 *2 *4 *5)) (-4 *2 (-1236))
    (-4 *4 (-384 *2)) (-4 *5 (-384 *2))))
@@ -6607,587 +6972,474 @@
  ((*1 *2 *1 *3 *2)
   (-12 (-5 *3 "first") (|has| *1 (-6 -4462)) (-4 *1 (-1274 *2))
    (-4 *2 (-1236))))) 
-(((*1 *2)
-  (-12 (-5 *2 (-1291)) (-5 *1 (-1213 *3 *4)) (-4 *3 (-1118))
-   (-4 *4 (-1118))))) 
-(((*1 *2 *2) (|partial| -12 (-4 *1 (-1001 *2)) (-4 *2 (-1221))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1136)) (-5 *1 (-220))))
- ((*1 *2 *1) (-12 (-5 *2 (-1136)) (-5 *1 (-451))))
- ((*1 *2 *1) (-12 (-5 *2 (-1136)) (-5 *1 (-850))))
- ((*1 *2 *1) (-12 (-5 *2 (-1136)) (-5 *1 (-1133))))
- ((*1 *1 *2 *3)
-  (-12 (-5 *2 (-656 (-1200))) (-5 *3 (-1200)) (-5 *1 (-1136))))) 
-(((*1 *2 *3 *3 *3 *4 *4 *4 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1053))
-   (-5 *1 (-764))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-326 (-227))) (-5 *1 (-276))))) 
-(((*1 *2 *2 *1 *3 *4)
-  (-12 (-5 *2 (-656 *8)) (-5 *3 (-1 *8 *8 *8))
-   (-5 *4 (-1 (-112) *8 *8)) (-4 *1 (-1229 *5 *6 *7 *8)) (-4 *5 (-568))
-   (-4 *6 (-805)) (-4 *7 (-862)) (-4 *8 (-1083 *5 *6 *7))))) 
-(((*1 *1 *1 *2) (-12 (-4 *1 (-732)) (-5 *2 (-937))))
- ((*1 *1 *1 *2) (-12 (-4 *1 (-734)) (-5 *2 (-783))))) 
 (((*1 *2 *2)
   (-12 (-4 *3 (-464)) (-5 *1 (-1227 *3 *2))
    (-4 *2 (-13 (-442 *3) (-1221)))))) 
-(((*1 *2 *1)
-  (-12 (-5 *2 (-1175 (-419 *3))) (-5 *1 (-176 *3)) (-4 *3 (-317))))) 
-(((*1 *1 *1 *2 *3 *1)
-  (-12 (-4 *1 (-336 *2 *3)) (-4 *2 (-1067)) (-4 *3 (-804))))) 
-(((*1 *2 *3)
-  (-12 (-5 *2 (-112)) (-5 *1 (-121 *3)) (-4 *3 (-1262 (-576)))))
- ((*1 *2 *3 *2)
-  (-12 (-5 *2 (-112)) (-5 *1 (-121 *3)) (-4 *3 (-1262 (-576)))))) 
-(((*1 *2 *3 *4)
-  (-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 (-1146 *3 *5)) (-4 *3 (-1262 *5))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-943))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-1028 *3)) (-4 *3 (-1236)) (-5 *2 (-112))))
- ((*1 *2 *1)
-  (-12 (-5 *2 (-112)) (-5 *1 (-1183 *3 *4)) (-14 *3 (-937))
-   (-4 *4 (-1067))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-360)) (-4 *5 (-339 *4)) (-4 *6 (-1262 *5))
-   (-5 *2 (-656 *3)) (-5 *1 (-789 *4 *5 *6 *3 *7)) (-4 *3 (-1262 *6))
-   (-14 *7 (-937))))) 
-(((*1 *2 *3) (-12 (-5 *3 (-171 (-576))) (-5 *2 (-112)) (-5 *1 (-458))))
- ((*1 *2 *3)
-  (-12
-   (-5 *3
-    (-516 (-419 (-576)) (-246 *5 (-783)) (-876 *4)
-     (-253 *4 (-419 (-576)))))
-   (-14 *4 (-656 (-1195))) (-14 *5 (-783)) (-5 *2 (-112))
-   (-5 *1 (-517 *4 *5))))
- ((*1 *2 *3) (-12 (-5 *2 (-112)) (-5 *1 (-977 *3)) (-4 *3 (-557))))
- ((*1 *2 *1) (-12 (-4 *1 (-1240)) (-5 *2 (-112))))) 
+(((*1 *2 *2)
+  (-12 (-4 *3 (-13 (-464) (-1056 (-576)))) (-4 *3 (-568))
+   (-5 *1 (-41 *3 *2)) (-4 *2 (-442 *3))
+   (-4 *2
+    (-13 (-374) (-312)
+     (-10 -8 (-15 -1595 ((-1143 *3 (-624 $)) $))
+      (-15 -1608 ((-1143 *3 (-624 $)) $))
+      (-15 -2884 ($ (-1143 *3 (-624 $)))))))))) 
 (((*1 *2 *2 *3)
-  (-12 (-5 *2 (-1286 (-1286 (-576)))) (-5 *3 (-937)) (-5 *1 (-478))))) 
-(((*1 *1 *1)
-  (-12 (-5 *1 (-1158 *2 *3)) (-4 *2 (-13 (-1118) (-34)))
-   (-4 *3 (-13 (-1118) (-34)))))) 
-(((*1 *1 *2) (-12 (-5 *2 (-656 (-874))) (-5 *1 (-874))))
- ((*1 *1 *1 *1) (-5 *1 (-874)))) 
-(((*1 *1 *1 *2)
-  (|partial| -12 (-5 *2 (-937)) (-5 *1 (-1119 *3 *4)) (-14 *3 *2)
-      (-14 *4 *2)))) 
+  (-12 (-4 *4 (-805))
+   (-4 *3 (-13 (-862) (-10 -8 (-15 -2616 ((-1195) $))))) (-4 *5 (-568))
+   (-5 *1 (-744 *4 *3 *5 *2)) (-4 *2 (-965 (-419 (-968 *5)) *4 *3))))
+ ((*1 *2 *2 *3)
+  (-12 (-4 *4 (-1067)) (-4 *5 (-805))
+   (-4 *3
+    (-13 (-862)
+     (-10 -8 (-15 -2616 ((-1195) $))
+      (-15 -1441 ((-3 $ "failed") (-1195))))))
+   (-5 *1 (-1002 *4 *5 *3 *2)) (-4 *2 (-965 (-968 *4) *5 *3))))
+ ((*1 *2 *2 *3)
+  (-12 (-5 *3 (-656 *6))
+   (-4 *6
+    (-13 (-862)
+     (-10 -8 (-15 -2616 ((-1195) $))
+      (-15 -1441 ((-3 $ "failed") (-1195))))))
+   (-4 *4 (-1067)) (-4 *5 (-805)) (-5 *1 (-1002 *4 *5 *6 *2))
+   (-4 *2 (-965 (-968 *4) *5 *6))))) 
 (((*1 *1 *1)
   (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1067))))) 
-(((*1 *2 *2)
-  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
-   (-4 *2 (-13 (-442 *3) (-1020)))))
- ((*1 *2 *2)
-  (-12 (-4 *3 (-38 (-419 (-576)))) (-4 *4 (-1277 *3))
-   (-5 *1 (-287 *3 *4 *2)) (-4 *2 (-1248 *3 *4))))
- ((*1 *2 *2)
-  (-12 (-4 *3 (-38 (-419 (-576)))) (-4 *4 (-1246 *3))
-   (-5 *1 (-288 *3 *4 *2 *5)) (-4 *2 (-1269 *3 *4)) (-4 *5 (-1001 *4))))
- ((*1 *1 *1) (-4 *1 (-294)))
+(((*1 *1 *1 *1)
+  (-12 (-4 *1 (-333 *2 *3)) (-4 *2 (-1118)) (-4 *3 (-132))
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 (((*1 *2 *3)
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 (((*1 *2 *1 *3)
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-   (-5 *3 (-1120 *4))))
- ((*1 *2 *1 *3)
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+   (-5 *2 (-1286 *4))))) 
 (((*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-1236)) (-4 *1 (-152 *3))))
  ((*1 *1 *2)
   (-12
-   (-5 *2 (-656 (-2 (|:| -2300 (-783)) (|:| -3337 *4) (|:| |num| *4))))
+   (-5 *2 (-656 (-2 (|:| -1359 (-783)) (|:| -1752 *4) (|:| |num| *4))))
    (-4 *4 (-1262 *3)) (-4 *3 (-13 (-374) (-148))) (-5 *1 (-411 *3 *4))))
  ((*1 *1 *2 *3 *4)
-  (-12 (-5 *2 (-3 (|:| |fst| (-446)) (|:| -2446 "void")))
+  (-12 (-5 *2 (-3 (|:| |fst| (-446)) (|:| -2008 "void")))
    (-5 *3 (-656 (-968 (-576)))) (-5 *4 (-112)) (-5 *1 (-449))))
  ((*1 *1 *2 *3 *4)
-  (-12 (-5 *2 (-3 (|:| |fst| (-446)) (|:| -2446 "void")))
+  (-12 (-5 *2 (-3 (|:| |fst| (-446)) (|:| -2008 "void")))
    (-5 *3 (-656 (-1195))) (-5 *4 (-112)) (-5 *1 (-449))))
  ((*1 *2 *1)
   (-12 (-5 *2 (-1175 *3)) (-5 *1 (-613 *3)) (-4 *3 (-1236))))
@@ -7566,24 +7830,24 @@
  ((*1 *1 *2 *3)
   (-12 (-5 *1 (-725 *2 *3 *4)) (-4 *2 (-862)) (-4 *3 (-1118))
    (-14 *4
-    (-1 (-112) (-2 (|:| -2596 *2) (|:| -2300 *3))
-     (-2 (|:| -2596 *2) (|:| -2300 *3))))))
+    (-1 (-112) (-2 (|:| -4318 *2) (|:| -1359 *3))
+     (-2 (|:| -4318 *2) (|:| -1359 *3))))))
  ((*1 *1 *2 *3) (-12 (-5 *2 (-518)) (-5 *3 (-1136)) (-5 *1 (-850))))
  ((*1 *1 *2 *3)
   (-12 (-5 *1 (-885 *2 *3)) (-4 *2 (-1236)) (-4 *3 (-1236))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-656 (-2 (|:| -3672 (-1195)) (|:| -1918 *4))))
+  (-12 (-5 *2 (-656 (-2 (|:| -4169 (-1195)) (|:| -3180 *4))))
    (-4 *4 (-1118)) (-5 *1 (-902 *3 *4)) (-4 *3 (-1118))))
  ((*1 *2 *3 *4)
   (-12 (-5 *4 (-656 *5)) (-4 *5 (-13 (-1118) (-34)))
    (-5 *2 (-656 (-1158 *3 *5))) (-5 *1 (-1158 *3 *5))
    (-4 *3 (-13 (-1118) (-34)))))
  ((*1 *2 *3)
-  (-12 (-5 *3 (-656 (-2 (|:| |val| *4) (|:| -4071 *5))))
+  (-12 (-5 *3 (-656 (-2 (|:| |val| *4) (|:| -4271 *5))))
    (-4 *4 (-13 (-1118) (-34))) (-4 *5 (-13 (-1118) (-34)))
    (-5 *2 (-656 (-1158 *4 *5))) (-5 *1 (-1158 *4 *5))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-2 (|:| |val| *3) (|:| -4071 *4)))
+  (-12 (-5 *2 (-2 (|:| |val| *3) (|:| -4271 *4)))
    (-4 *3 (-13 (-1118) (-34))) (-4 *4 (-13 (-1118) (-34)))
    (-5 *1 (-1158 *3 *4))))
  ((*1 *1 *2 *3)
@@ -7606,214 +7870,101 @@
    (-4 *4 (-13 (-1118) (-34))) (-5 *1 (-1159 *3 *4))))
  ((*1 *1 *2 *3)
   (-12 (-5 *1 (-1184 *2 *3)) (-4 *2 (-1118)) (-4 *3 (-1118))))) 
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-   (-4 *2 (-1067))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-173))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-943))))) 
+(((*1 *1) (-5 *1 (-158)))
+ ((*1 *2 *1) (-12 (-4 *1 (-1062 *2)) (-4 *2 (-23))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-656 *8)) (-5 *4 (-656 *7)) (-4 *7 (-862))
+   (-4 *8 (-965 *5 *6 *7)) (-4 *5 (-568)) (-4 *6 (-805))
+   (-5 *2
+    (-2 (|:| |particular| (-3 (-1286 (-419 *8)) "failed"))
+     (|:| -1898 (-656 (-1286 (-419 *8))))))
+   (-5 *1 (-681 *5 *6 *7 *8))))) 
+(((*1 *2 *2 *1) (|partial| -12 (-5 *2 (-656 *1)) (-4 *1 (-317))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-656 (-1235))) (-5 *1 (-693))))
+ ((*1 *2 *1) (-12 (-5 *2 (-656 (-1200))) (-5 *1 (-1136))))) 
+(((*1 *1 *2)
+  (-12 (-5 *2 (-701 *4)) (-4 *4 (-1067)) (-5 *1 (-1160 *3 *4))
+   (-14 *3 (-783))))) 
 (((*1 *2 *3)
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-   (-4 *3
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-     (-10 -8 (-15 -2976 ((-1143 *4 (-624 $)) $))
-      (-15 -2987 ((-1143 *4 (-624 $)) $))
-      (-15 -2956 ($ (-1143 *4 (-624 $)))))))))) 
-(((*1 *1 *1 *2 *3)
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-(((*1 *2 *3 *4 *5 *3 *6 *3)
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- ((*1 *2 *2 *2) (-12 (-5 *1 (-160 *2)) (-4 *2 (-557))))
- ((*1 *1 *1 *1) (-5 *1 (-874)))
+  (-12 (-5 *3 (-1 (-112) *6)) (-4 *6 (-13 (-1118) (-1056 *5)))
+   (-4 *5 (-899 *4)) (-4 *4 (-1118)) (-5 *2 (-1 (-112) *5))
+   (-5 *1 (-947 *4 *5 *6))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-656 (-968 (-576)))) (-5 *1 (-449))))
  ((*1 *2 *3 *4)
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-(((*1 *2 *1 *1)
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-   (-4 *1 (-864 *3))))) 
-(((*1 *1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-783))))
- ((*1 *1 *2 *1) (-12 (-4 *1 (-25)) (-5 *2 (-937))))
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- ((*1 *1 *2 *1) (-12 (-5 *2 (-227)) (-5 *1 (-158))))
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-   (-5 *1 (-229 *3))))
- ((*1 *1 *2 *1)
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- ((*1 *1 *1 *2)
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- ((*1 *1 *2 *3)
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+  (-12 (-5 *3 (-1195)) (-5 *4 (-701 (-576))) (-5 *2 (-1122))
+   (-5 *1 (-771))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-521 *3 *2)) (-4 *3 (-1118)) (-4 *2 (-862))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-656 *2)) (-4 *2 (-442 *4)) (-5 *1 (-159 *4 *2))
+   (-4 *4 (-568))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-1262 *3)) (-4 *3 (-1067)) (-5 *2 (-1191 *3))))) 
 (((*1 *1 *2)
   (-12 (-5 *2 (-1286 *3)) (-4 *3 (-374)) (-14 *6 (-1286 (-701 *3)))
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+  (-12 (-5 *2 (-1286 (-350 (-2895 'JINT 'X 'ELAM) (-2895) (-711))))
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  ((*1 *1 *2)
-  (-12 (-5 *2 (-1286 (-350 (-2968) (-2968 'XC) (-711))))
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  ((*1 *1 *2)
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  ((*1 *1 *2)
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    (-5 *1 (-71 *3)) (-14 *3 (-1195))))
  ((*1 *1 *2)
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+  (-12 (-5 *2 (-1286 (-350 (-2895) (-2895 'X) (-711))))
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  ((*1 *1 *2)
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    (-14 *5 (-1195))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-1286 (-350 (-2968 'EPS) (-2968 'YA 'YB) (-711))))
+  (-12 (-5 *2 (-1286 (-350 (-2895 'EPS) (-2895 'YA 'YB) (-711))))
    (-5 *1 (-76 *3 *4 *5)) (-14 *3 (-1195)) (-14 *4 (-1195))
    (-14 *5 (-1195))))
  ((*1 *1 *2)
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+  (-12 (-5 *2 (-350 (-2895) (-2895 'X) (-711))) (-5 *1 (-77 *3))
    (-14 *3 (-1195))))
  ((*1 *1 *2)
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+  (-12 (-5 *2 (-350 (-2895) (-2895 'X) (-711))) (-5 *1 (-78 *3))
    (-14 *3 (-1195))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-1286 (-350 (-2968) (-2968 'XC) (-711))))
+  (-12 (-5 *2 (-1286 (-350 (-2895) (-2895 'XC) (-711))))
    (-5 *1 (-79 *3)) (-14 *3 (-1195))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-1286 (-350 (-2968) (-2968 'X) (-711))))
+  (-12 (-5 *2 (-1286 (-350 (-2895) (-2895 'X) (-711))))
    (-5 *1 (-80 *3)) (-14 *3 (-1195))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-1286 (-350 (-2968 'X '-1891) (-2968) (-711))))
+  (-12 (-5 *2 (-1286 (-350 (-2895 'X '-2260) (-2895) (-711))))
    (-5 *1 (-82 *3)) (-14 *3 (-1195))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-701 (-350 (-2968 'X '-1891) (-2968) (-711))))
+  (-12 (-5 *2 (-701 (-350 (-2895 'X '-2260) (-2895) (-711))))
    (-5 *1 (-83 *3)) (-14 *3 (-1195))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-701 (-350 (-2968 'X) (-2968) (-711)))) (-5 *1 (-84 *3))
+  (-12 (-5 *2 (-701 (-350 (-2895 'X) (-2895) (-711)))) (-5 *1 (-84 *3))
    (-14 *3 (-1195))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-1286 (-350 (-2968 'X) (-2968) (-711))))
+  (-12 (-5 *2 (-1286 (-350 (-2895 'X) (-2895) (-711))))
    (-5 *1 (-85 *3)) (-14 *3 (-1195))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-1286 (-350 (-2968 'X) (-2968 '-1891) (-711))))
+  (-12 (-5 *2 (-1286 (-350 (-2895 'X) (-2895 '-2260) (-711))))
    (-5 *1 (-86 *3)) (-14 *3 (-1195))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-701 (-350 (-2968 'XL 'XR 'ELAM) (-2968) (-711))))
+  (-12 (-5 *2 (-701 (-350 (-2895 'XL 'XR 'ELAM) (-2895) (-711))))
    (-5 *1 (-87 *3)) (-14 *3 (-1195))))
  ((*1 *1 *2)
-  (-12 (-5 *2 (-350 (-2968 'X) (-2968 '-1891) (-711))) (-5 *1 (-89 *3))
+  (-12 (-5 *2 (-350 (-2895 'X) (-2895 '-2260) (-711))) (-5 *1 (-89 *3))
    (-14 *3 (-1195))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-656 (-137 *3 *4 *5))) (-5 *1 (-137 *3 *4 *5))
@@ -7864,85 +8015,85 @@
  ((*1 *1 *2) (-12 (-4 *1 (-385 *2 *3)) (-4 *2 (-862)) (-4 *3 (-174))))
  ((*1 *1 *2)
   (-12
-   (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2059 (-656 (-340)))))
+   (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2559 (-656 (-340)))))
    (-4 *1 (-394))))
  ((*1 *1 *2) (-12 (-5 *2 (-340)) (-4 *1 (-394))))
  ((*1 *1 *2) (-12 (-5 *2 (-656 (-340))) (-4 *1 (-394))))
  ((*1 *1 *2) (-12 (-5 *2 (-701 (-711))) (-4 *1 (-394))))
  ((*1 *1 *2)
   (-12
-   (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2059 (-656 (-340)))))
+   (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2559 (-656 (-340)))))
    (-4 *1 (-395))))
  ((*1 *1 *2) (-12 (-5 *2 (-340)) (-4 *1 (-395))))
  ((*1 *1 *2) (-12 (-5 *2 (-656 (-340))) (-4 *1 (-395))))
  ((*1 *2 *3) (-12 (-5 *2 (-406)) (-5 *1 (-405 *3)) (-4 *3 (-1118))))
  ((*1 *1 *2)
   (-12
-   (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2059 (-656 (-340)))))
+   (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2559 (-656 (-340)))))
    (-4 *1 (-408))))
  ((*1 *1 *2) (-12 (-5 *2 (-340)) (-4 *1 (-408))))
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  ((*1 *1 *2)
   (-12 (-5 *2 (-304 (-326 (-171 (-390))))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2446 "void")))
+   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2008 "void")))
    (-14 *5 (-656 (-1195))) (-14 *6 (-1199))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-304 (-326 (-390)))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2446 "void")))
+   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2008 "void")))
    (-14 *5 (-656 (-1195))) (-14 *6 (-1199))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-304 (-326 (-576)))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2446 "void")))
+   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2008 "void")))
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  ((*1 *1 *2)
   (-12 (-5 *2 (-326 (-171 (-390)))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2446 "void")))
+   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2008 "void")))
    (-14 *5 (-656 (-1195))) (-14 *6 (-1199))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-326 (-390))) (-5 *1 (-410 *3 *4 *5 *6))
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+   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2008 "void")))
    (-14 *5 (-656 (-1195))) (-14 *6 (-1199))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-326 (-576))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2446 "void")))
+   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2008 "void")))
    (-14 *5 (-656 (-1195))) (-14 *6 (-1199))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-304 (-326 (-706)))) (-5 *1 (-410 *3 *4 *5 *6))
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+   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2008 "void")))
    (-14 *5 (-656 (-1195))) (-14 *6 (-1199))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-304 (-326 (-711)))) (-5 *1 (-410 *3 *4 *5 *6))
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+   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2008 "void")))
    (-14 *5 (-656 (-1195))) (-14 *6 (-1199))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-304 (-326 (-713)))) (-5 *1 (-410 *3 *4 *5 *6))
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    (-14 *5 (-656 (-1195))) (-14 *6 (-1199))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-326 (-706))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2446 "void")))
+   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2008 "void")))
    (-14 *5 (-656 (-1195))) (-14 *6 (-1199))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-326 (-711))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2446 "void")))
+   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2008 "void")))
    (-14 *5 (-656 (-1195))) (-14 *6 (-1199))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-326 (-713))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2446 "void")))
+   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2008 "void")))
    (-14 *5 (-656 (-1195))) (-14 *6 (-1199))))
  ((*1 *1 *2)
   (-12
-   (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2059 (-656 (-340)))))
+   (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2559 (-656 (-340)))))
    (-5 *1 (-410 *3 *4 *5 *6)) (-14 *3 (-1195))
-   (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2446 "void")))
+   (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2008 "void")))
    (-14 *5 (-656 (-1195))) (-14 *6 (-1199))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-656 (-340))) (-5 *1 (-410 *3 *4 *5 *6))
-   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2446 "void")))
+   (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2008 "void")))
    (-14 *5 (-656 (-1195))) (-14 *6 (-1199))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-340)) (-5 *1 (-410 *3 *4 *5 *6)) (-14 *3 (-1195))
-   (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2446 "void")))
+   (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2008 "void")))
    (-14 *5 (-656 (-1195))) (-14 *6 (-1199))))
  ((*1 *1 *2)
   (-12 (-5 *2 (-341 *4)) (-4 *4 (-13 (-862) (-21)))
@@ -7969,14 +8120,14 @@
  ((*1 *1 *2) (-12 (-5 *2 (-446)) (-5 *1 (-449))))
  ((*1 *1 *2)
   (-12
-   (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2059 (-656 (-340)))))
+   (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2559 (-656 (-340)))))
    (-4 *1 (-452))))
  ((*1 *1 *2) (-12 (-5 *2 (-340)) (-4 *1 (-452))))
  ((*1 *1 *2) (-12 (-5 *2 (-656 (-340))) (-4 *1 (-452))))
  ((*1 *1 *2) (-12 (-5 *2 (-1286 (-711))) (-4 *1 (-452))))
  ((*1 *1 *2)
   (-12
-   (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2059 (-656 (-340)))))
+   (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2559 (-656 (-340)))))
    (-4 *1 (-453))))
  ((*1 *1 *2) (-12 (-5 *2 (-340)) (-4 *1 (-453))))
  ((*1 *1 *2) (-12 (-5 *2 (-656 (-340))) (-4 *1 (-453))))
@@ -8045,7 +8196,7 @@
    (-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 (|:| -1868 *3) (|:| -3811 *4))))
+  (-12 (-5 *2 (-656 (-2 (|:| -1755 *3) (|:| -3694 *4))))
    (-4 *3 (-1067)) (-4 *4 (-738)) (-5 *1 (-747 *3 *4))))
  ((*1 *1 *2) (-12 (-5 *2 (-576)) (-4 *1 (-775))))
  ((*1 *1 *2)
@@ -8054,25 +8205,25 @@
     (-3
      (|:| |nia|
           (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227)))
-           (|:| -2055 (-1112 (-855 (-227)))) (|:| |abserr| (-227))
+           (|:| -1908 (-1112 (-855 (-227)))) (|:| |abserr| (-227))
            (|:| |relerr| (-227))))
      (|:| |mdnia|
           (-2 (|:| |fn| (-326 (-227)))
-           (|:| -2055 (-656 (-1112 (-855 (-227)))))
+           (|:| -1908 (-656 (-1112 (-855 (-227)))))
            (|:| |abserr| (-227)) (|:| |relerr| (-227))))))
    (-5 *1 (-781))))
  ((*1 *1 *2)
   (-12
    (-5 *2
     (-2 (|:| |fn| (-326 (-227)))
-     (|:| -2055 (-656 (-1112 (-855 (-227))))) (|:| |abserr| (-227))
+     (|:| -1908 (-656 (-1112 (-855 (-227))))) (|:| |abserr| (-227))
      (|:| |relerr| (-227))))
    (-5 *1 (-781))))
  ((*1 *1 *2)
   (-12
    (-5 *2
     (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227)))
-     (|:| -2055 (-1112 (-855 (-227)))) (|:| |abserr| (-227))
+     (|:| -1908 (-1112 (-855 (-227)))) (|:| |abserr| (-227))
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-   (-5 *1 (-768))))) 
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- ((*1 *2 *1 *3 *4)
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- ((*1 *2 *1 *3) (-12 (-5 *3 (-1177)) (-5 *2 (-1291)) (-5 *1 (-1288))))) 
-(((*1 *2 *3 *3 *3 *4 *3)
-  (-12 (-5 *3 (-576)) (-5 *4 (-701 (-171 (-227)))) (-5 *2 (-1053))
-   (-5 *1 (-766))))) 
+  (-12 (-5 *3 (-656 *2)) (-4 *2 (-442 *4)) (-5 *1 (-159 *4 *2))
+   (-4 *4 (-568))))) 
+(((*1 *1 *2)
+  (-12 (-5 *2 (-1191 *3)) (-4 *3 (-1067)) (-4 *1 (-1262 *3))))) 
 (((*1 *2 *1) (-12 (|has| *1 (-6 -4461)) (-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 (-989))))
@@ -8608,132 +8395,114 @@
  ((*1 *2 *1)
   (-12 (-5 *2 (-783)) (-5 *1 (-1309 *3 *4)) (-4 *3 (-1067))
    (-4 *4 (-858))))) 
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- ((*1 *2 *1 *3) (-12 (-4 *1 (-312)) (-5 *3 (-115)) (-5 *2 (-112))))
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-  (-12 (-5 *3 (-1195)) (-5 *2 (-112)) (-5 *1 (-624 *4))
-   (-4 *4 (-1118))))
- ((*1 *2 *1 *3)
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- ((*1 *2 *1 *3) (-12 (-4 *1 (-847 *3)) (-4 *3 (-1118)) (-5 *2 (-112))))
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 (((*1 *2 *3 *4)
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    (-5 *2
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+   (-5 *1 (-943))))) 
+(((*1 *2 *3)
+  (-12 (-14 *4 (-656 (-1195))) (-14 *5 (-783))
+   (-5 *2
+    (-656
+     (-516 (-419 (-576)) (-246 *5 (-783)) (-876 *4)
+      (-253 *4 (-419 (-576))))))
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+   (-5 *3
+    (-516 (-419 (-576)) (-246 *5 (-783)) (-876 *4)
+     (-253 *4 (-419 (-576)))))))) 
+(((*1 *1) (-5 *1 (-158)))) 
+(((*1 *2 *1 *1 *3)
+  (-12 (-4 *4 (-1067)) (-4 *5 (-805)) (-4 *3 (-862))
+   (-5 *2 (-2 (|:| -2770 *1) (|:| -1406 *1))) (-4 *1 (-965 *4 *5 *3))))
+ ((*1 *2 *1 *1)
+  (-12 (-4 *3 (-1067)) (-5 *2 (-2 (|:| -2770 *1) (|:| -1406 *1)))
+   (-4 *1 (-1262 *3))))) 
 (((*1 *1 *1 *2)
   (|partial| -12 (-4 *1 (-167 *2)) (-4 *2 (-174)) (-4 *2 (-568))))
  ((*1 *1 *1 *2)
@@ -8755,222 +8524,272 @@
       (-4 *5 (-244 *4 *2)) (-4 *6 (-244 *3 *2)) (-4 *2 (-568))))
  ((*1 *2 *2 *2)
   (|partial| -12 (-5 *2 (-1175 *3)) (-4 *3 (-1067)) (-5 *1 (-1179 *3))))) 
-(((*1 *1) (-5 *1 (-142)))) 
-(((*1 *2 *2 *3 *4 *5)
-  (-12 (-5 *2 (-656 *9)) (-5 *3 (-1 (-112) *9))
-   (-5 *4 (-1 (-112) *9 *9)) (-5 *5 (-1 *9 *9 *9))
-   (-4 *9 (-1083 *6 *7 *8)) (-4 *6 (-568)) (-4 *7 (-805))
-   (-4 *8 (-862)) (-5 *1 (-995 *6 *7 *8 *9))))) 
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@@ -8981,1022 +8800,32 @@
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@@ -11517,819 +9034,214 @@
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 (((*1 *2 *3)
   (|partial| -12
       (-5 *3
        (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227)))
-        (|:| -2055 (-1112 (-855 (-227)))) (|:| |abserr| (-227))
+        (|:| -1908 (-1112 (-855 (-227)))) (|:| |abserr| (-227))
         (|:| |relerr| (-227))))
       (-5 *2
        (-2
@@ -13707,7 +9461,7 @@
              (-3 (|:| |str| (-1175 (-227)))
               (|:| |notEvaluated|
                    "Internal singularities not yet evaluated")))
-        (|:| -2055
+        (|:| -1908
              (-3 (|:| |finite| "The range is finite")
               (|:| |lowerInfinite| "The bottom of range is infinite")
               (|:| |upperInfinite| "The top of range is infinite")
@@ -13715,772 +9469,39 @@
                    "Both top and bottom points are infinite")
               (|:| |notEvaluated| "Range not yet evaluated")))))
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-  (|partial| -12 (-4 *4 (-805)) (-4 *5 (-862)) (-4 *6 (-1067))
-      (-4 *7 (-965 *6 *4 *5)) (-5 *2 (-656 *3))
-      (-5 *1 (-966 *4 *5 *6 *7 *3))
-      (-4 *3
-       (-13 (-374)
-        (-10 -8 (-15 -2956 ($ *7)) (-15 -2976 (*7 $))
-         (-15 -2987 (*7 $)))))))) 
+    (-1286 (-656 (-2 (|:| -4183 (-926 *3)) (|:| -4318 (-1138))))))
+   (-5 *1 (-362 *3 *4)) (-14 *3 (-937)) (-14 *4 (-937))))
+ ((*1 *2)
+  (-12 (-5 *2 (-1286 (-656 (-2 (|:| -4183 *3) (|:| -4318 (-1138))))))
+   (-5 *1 (-363 *3 *4)) (-4 *3 (-360)) (-14 *4 (-3 (-1191 *3) *2))))
+ ((*1 *2)
+  (-12 (-5 *2 (-1286 (-656 (-2 (|:| -4183 *3) (|:| -4318 (-1138))))))
+   (-5 *1 (-364 *3 *4)) (-4 *3 (-360)) (-14 *4 (-937))))) 
+(((*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 (-5 *3 (-783)) (-5 *2 (-1 (-390))) (-5 *1 (-1058))))
+ ((*1 *1 *1 *1) (-4 *1 (-1157)))) 
 (((*1 *2 *3 *4 *5 *6 *5)
   (-12 (-5 *4 (-171 (-227))) (-5 *5 (-576)) (-5 *6 (-1177))
    (-5 *3 (-227)) (-5 *2 (-1053)) (-5 *1 (-770))))) 
-(((*1 *1 *2 *3 *4)
+(((*1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-943))))) 
+(((*1 *2 *2 *2)
   (-12
-   (-5 *3
-    (-656
-     (-2 (|:| |scalar| (-419 (-576))) (|:| |coeff| (-1191 *2))
-      (|:| |logand| (-1191 *2)))))
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-   (-4 *2 (-374)) (-5 *1 (-598 *2))))) 
-(((*1 *2 *2) (-12 (-5 *2 (-1175 (-656 (-937)))) (-5 *1 (-896))))) 
-(((*1 *2 *2)
-  (-12 (-5 *2 (-1286 *1)) (-4 *1 (-353 *3 *4 *5)) (-4 *3 (-1240))
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- ((*1 *2 *1 *3)
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- ((*1 *2 *1 *3)
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-   (-4 *3 (-862)) (-5 *2 (-783))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1053)) (-5 *1 (-770))))) 
+   (-5 *2
+    (-2 (|:| -1898 (-701 *3)) (|:| |basisDen| *3)
+     (|:| |basisInv| (-701 *3))))
+   (-4 *3 (-13 (-317) (-10 -8 (-15 -3986 ((-430 $) $)))))
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 (((*1 *2 *3 *3 *4)
-  (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-862))
-   (-4 *3 (-1083 *5 *6 *7))
-   (-5 *2 (-656 (-2 (|:| |val| (-656 *3)) (|:| -4071 *4))))
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-  (-12 (-5 *3 (-1 (-959 (-227)) (-227) (-227))) (-5 *4 (-1112 (-390)))
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-  (-12 (-5 *3 (-895 (-1 (-227) (-227) (-227)))) (-5 *4 (-1112 (-390)))
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-  (-12 (-5 *4 (-1110 (-390))) (-5 *5 (-656 (-270)))
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-   (-4 *4 (-174))))) 
-(((*1 *1 *1 *1) (-4 *1 (-312))) ((*1 *1 *1) (-4 *1 (-312)))) 
-(((*1 *2 *2)
-  (-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)
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-(((*1 *2 *3)
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-   (-5 *2 (-656 (-656 *4))) (-5 *1 (-1206 *4))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-261 *3)) (-4 *3 (-1236)) (-5 *2 (-783))))
- ((*1 *2 *1) (-12 (-4 *1 (-312)) (-5 *2 (-783))))
- ((*1 *2 *3)
-  (-12 (-4 *4 (-1067))
-   (-4 *2 (-13 (-416) (-1056 *4) (-374) (-1221) (-294)))
-   (-5 *1 (-455 *4 *3 *2)) (-4 *3 (-1262 *4))))
- ((*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-624 *3)) (-4 *3 (-1118))))
- ((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-874))))
- ((*1 *2 *1) (-12 (-5 *2 (-576)) (-5 *1 (-874))))) 
-(((*1 *2 *3 *4)
-  (-12 (-5 *4 (-1 *7 *7)) (-4 *7 (-1262 *6))
-   (-4 *6 (-13 (-27) (-442 *5))) (-4 *5 (-13 (-568) (-1056 (-576))))
-   (-4 *8 (-1262 (-419 *7))) (-5 *2 (-598 *3))
-   (-5 *1 (-564 *5 *6 *7 *8 *3)) (-4 *3 (-353 *6 *7 *8))))) 
-(((*1 *2 *3)
-  (-12 (-4 *4 (-1067))
-   (-4 *2 (-13 (-416) (-1056 *4) (-374) (-1221) (-294)))
-   (-5 *1 (-455 *4 *3 *2)) (-4 *3 (-1262 *4))))) 
-(((*1 *1) (-5 *1 (-301)))) 
+  (-12 (-5 *4 (-656 (-326 (-227)))) (-5 *3 (-227)) (-5 *2 (-112))
+   (-5 *1 (-212))))) 
 (((*1 *2 *3)
   (-12 (-4 *5 (-13 (-626 *2) (-174))) (-5 *2 (-905 *4))
    (-5 *1 (-172 *4 *5 *3)) (-4 *4 (-1118)) (-4 *3 (-167 *5))))
@@ -14513,9 +9534,9 @@
   (-12 (-5 *2 (-968 *3)) (-4 *3 (-1067)) (-4 *1 (-1083 *3 *4 *5))
    (-4 *5 (-626 (-1195))) (-4 *4 (-805)) (-4 *5 (-862))))
  ((*1 *1 *2)
-  (-2838
+  (-3766
    (-12 (-5 *2 (-968 (-576))) (-4 *1 (-1083 *3 *4 *5))
-    (-12 (-2085 (-4 *3 (-38 (-419 (-576))))) (-4 *3 (-38 (-576)))
+    (-12 (-3216 (-4 *3 (-38 (-419 (-576))))) (-4 *3 (-38 (-576)))
      (-4 *5 (-626 (-1195))))
     (-4 *3 (-1067)) (-4 *4 (-805)) (-4 *5 (-862)))
    (-12 (-5 *2 (-968 (-576))) (-4 *1 (-1083 *3 *4 *5))
@@ -14526,12 +9547,12 @@
    (-4 *3 (-38 (-419 (-576)))) (-4 *5 (-626 (-1195))) (-4 *3 (-1067))
    (-4 *4 (-805)) (-4 *5 (-862))))
  ((*1 *2 *3)
-  (-12 (-5 *3 (-2 (|:| |val| (-656 *7)) (|:| -4071 *8)))
+  (-12 (-5 *3 (-2 (|:| |val| (-656 *7)) (|:| -4271 *8)))
    (-4 *7 (-1083 *4 *5 *6)) (-4 *8 (-1089 *4 *5 *6 *7)) (-4 *4 (-464))
    (-4 *5 (-805)) (-4 *6 (-862)) (-5 *2 (-1177))
    (-5 *1 (-1087 *4 *5 *6 *7 *8))))
  ((*1 *2 *3)
-  (-12 (-5 *3 (-2 (|:| |val| (-656 *7)) (|:| -4071 *8)))
+  (-12 (-5 *3 (-2 (|:| |val| (-656 *7)) (|:| -4271 *8)))
    (-4 *7 (-1083 *4 *5 *6)) (-4 *8 (-1127 *4 *5 *6 *7)) (-4 *4 (-464))
    (-4 *5 (-805)) (-4 *6 (-862)) (-5 *2 (-1177))
    (-5 *1 (-1163 *4 *5 *6 *7 *8))))
@@ -14563,319 +9584,399 @@
    (-4 *4 (-13 (-860) (-317) (-148) (-1040))) (-14 *6 (-656 (-1195)))
    (-5 *2 (-656 (-792 *4 (-876 *6)))) (-5 *1 (-1313 *4 *5 *6))
    (-14 *5 (-656 (-1195)))))) 
-(((*1 *1)
-  (-12 (-5 *1 (-137 *2 *3 *4)) (-14 *2 (-576)) (-14 *3 (-783))
-   (-4 *4 (-174))))) 
+(((*1 *2 *3)
+  (-12 (-4 *4 (-568)) (-4 *5 (-1010 *4))
+   (-5 *2 (-2 (|:| |num| *3) (|:| |den| *4))) (-5 *1 (-143 *4 *5 *3))
+   (-4 *3 (-384 *5))))
+ ((*1 *2 *3)
+  (-12 (-4 *4 (-568)) (-4 *5 (-1010 *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 (-701 *5)) (-4 *5 (-1010 *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) (-1056 (-419 (-576)))))
+   (-4 *6 (-1262 *5))
+   (-5 *2 (-2 (|:| -2572 *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 (-568)) (-4 *5 (-1010 *4))
+   (-5 *2 (-2 (|:| |num| *3) (|:| |den| *4))) (-5 *1 (-1255 *4 *5 *3))
+   (-4 *3 (-1262 *5))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-783)) (-5 *2 (-701 (-968 *4))) (-5 *1 (-1046 *4))
+   (-4 *4 (-1067))))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *4 (-1195))
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-   (-5 *2
-    (-2 (|:| |func| *3) (|:| |kers| (-656 (-624 *3)))
-     (|:| |vals| (-656 *3))))
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- ((*1 *2 *3 *3 *3)
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-(((*1 *1 *1) (-12 (-4 *1 (-1013 *2)) (-4 *2 (-1236))))) 
-(((*1 *2 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1236))))) 
-(((*1 *2) (-12 (-5 *2 (-656 (-1195))) (-5 *1 (-105))))) 
+  (-12 (-5 *3 (-701 *1)) (-5 *4 (-1286 *1)) (-4 *1 (-651 *5))
+   (-4 *5 (-1067))
+   (-5 *2 (-2 (|:| -2869 (-701 *5)) (|:| |vec| (-1286 *5))))))
+ ((*1 *2 *3)
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+   (-14 *4
+    (-3 (-1191 *3)
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+ ((*1 *2 *2)
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+ ((*1 *1 *1) (-4 *1 (-860)))
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 (((*1 *2 *3 *4)
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-(((*1 *1 *1)
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+ ((*1 *2 *2 *3)
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+   (-4 *2 (-442 *4))))
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+(((*1 *2 *2 *3)
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+ ((*1 *2 *2 *3)
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 (((*1 *2 *3)
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-(((*1 *2 *3 *3 *4)
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-   (-5 *1 (-987 *5 *3)) (-4 *3 (-1262 *5))))) 
+  (-12 (-5 *3 (-1286 (-656 (-2 (|:| -4183 *4) (|:| -4318 (-1138))))))
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+ ((*1 *2)
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+   (-14 *4
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+     (-1286 (-656 (-2 (|:| -4183 *3) (|:| -4318 (-1138)))))))))
+ ((*1 *2)
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+   (-14 *4 (-937))))) 
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 (((*1 *1 *2 *1)
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@@ -14982,9 +10083,9 @@
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  ((*1 *2 *3 *4)
   (|partial| -12 (-5 *3 (-1 *6 *5))
-      (-5 *4 (-3 (-2 (|:| -2570 *5) (|:| |coeff| *5)) "failed"))
+      (-5 *4 (-3 (-2 (|:| -3849 *5) (|:| |coeff| *5)) "failed"))
       (-4 *5 (-374)) (-4 *6 (-374))
-      (-5 *2 (-2 (|:| -2570 *6) (|:| |coeff| *6)))
+      (-5 *2 (-2 (|:| -3849 *6) (|:| |coeff| *6)))
       (-5 *1 (-596 *5 *6))))
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   (|partial| -12 (-5 *3 (-1 *2 *5)) (-5 *4 (-3 *5 "failed"))
@@ -15103,7 +10204,7 @@
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    (-4 *2
     (-13 (-1118)
-     (-10 -8 (-15 -3081 ($ $ $)) (-15 * ($ $ $)) (-15 ** ($ $ (-783))))))
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@@ -15119,8 +10220,8 @@
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    (-4 *6
     (-13 (-862)
-     (-10 -8 (-15 -1846 ((-1195) $))
-      (-15 -1500 ((-3 $ "failed") (-1195))))))
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    (-5 *1 (-1002 *4 *5 *6 *2))))
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@@ -15207,407 +10308,479 @@
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+   (-4 *6 (-805)) (-5 *2 (-656 *3)) (-5 *1 (-940 *4 *5 *6 *3))
+   (-4 *3 (-965 *4 *6 *5))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-656 (-576))) (-5 *2 (-576)) (-5 *1 (-498 *4))
+   (-4 *4 (-1262 *2))))) 
+(((*1 *2 *3 *3 *2)
+  (-12 (-5 *2 (-1053)) (-5 *3 (-1195)) (-5 *1 (-194))))) 
+(((*1 *1 *2) (-12 (-5 *2 (-783)) (-5 *1 (-129))))) 
+(((*1 *2) (-12 (-5 *2 (-1291)) (-5 *1 (-1238))))) 
 (((*1 *2 *3)
   (|partial| -12 (-5 *3 (-52)) (-5 *1 (-51 *2)) (-4 *2 (-1236))))
  ((*1 *1 *2)
@@ -15683,26 +10856,26 @@
       (-4 *1 (-994 *3 *4 *5 *6))))
  ((*1 *2 *1) (|partial| -12 (-4 *1 (-1056 *2)) (-4 *2 (-1236))))
  ((*1 *1 *2)
-  (|partial| -2838
+  (|partial| -3766
       (-12 (-5 *2 (-968 *3))
-       (-12 (-2085 (-4 *3 (-38 (-419 (-576)))))
-        (-2085 (-4 *3 (-38 (-576)))) (-4 *5 (-626 (-1195))))
+       (-12 (-3216 (-4 *3 (-38 (-419 (-576)))))
+        (-3216 (-4 *3 (-38 (-576)))) (-4 *5 (-626 (-1195))))
        (-4 *3 (-1067)) (-4 *1 (-1083 *3 *4 *5)) (-4 *4 (-805))
        (-4 *5 (-862)))
       (-12 (-5 *2 (-968 *3))
-       (-12 (-2085 (-4 *3 (-557))) (-2085 (-4 *3 (-38 (-419 (-576)))))
+       (-12 (-3216 (-4 *3 (-557))) (-3216 (-4 *3 (-38 (-419 (-576)))))
         (-4 *3 (-38 (-576))) (-4 *5 (-626 (-1195))))
        (-4 *3 (-1067)) (-4 *1 (-1083 *3 *4 *5)) (-4 *4 (-805))
        (-4 *5 (-862)))
       (-12 (-5 *2 (-968 *3))
-       (-12 (-2085 (-4 *3 (-1010 (-576)))) (-4 *3 (-38 (-419 (-576))))
+       (-12 (-3216 (-4 *3 (-1010 (-576)))) (-4 *3 (-38 (-419 (-576))))
         (-4 *5 (-626 (-1195))))
        (-4 *3 (-1067)) (-4 *1 (-1083 *3 *4 *5)) (-4 *4 (-805))
        (-4 *5 (-862)))))
  ((*1 *1 *2)
-  (|partial| -2838
+  (|partial| -3766
       (-12 (-5 *2 (-968 (-576))) (-4 *1 (-1083 *3 *4 *5))
-       (-12 (-2085 (-4 *3 (-38 (-419 (-576))))) (-4 *3 (-38 (-576)))
+       (-12 (-3216 (-4 *3 (-38 (-419 (-576))))) (-4 *3 (-38 (-576)))
         (-4 *5 (-626 (-1195))))
        (-4 *3 (-1067)) (-4 *4 (-805)) (-4 *5 (-862)))
       (-12 (-5 *2 (-968 (-576))) (-4 *1 (-1083 *3 *4 *5))
@@ -15712,783 +10885,3131 @@
   (|partial| -12 (-5 *2 (-968 (-419 (-576)))) (-4 *1 (-1083 *3 *4 *5))
       (-4 *3 (-38 (-419 (-576)))) (-4 *5 (-626 (-1195)))
       (-4 *3 (-1067)) (-4 *4 (-805)) (-4 *5 (-862))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-786)) (-5 *1 (-52))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-1231 *3)) (-4 *3 (-992))))) 
-(((*1 *2 *2)
-  (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2))
-   (-4 *2 (-13 (-442 *3) (-1020)))))) 
-(((*1 *2 *3 *3 *2)
-  (|partial| -12 (-5 *2 (-783))
-      (-4 *3 (-13 (-738) (-379) (-10 -7 (-15 ** (*3 *3 (-576))))))
-      (-5 *1 (-252 *3))))) 
-(((*1 *2 *1 *3)
-  (-12 (-4 *1 (-872)) (-5 *2 (-703 (-561))) (-5 *3 (-561))))) 
-(((*1 *2 *3 *3)
-  (-12 (-4 *4 (-374)) (-5 *2 (-656 *3)) (-5 *1 (-961 *4 *3))
-   (-4 *3 (-1262 *4))))) 
-(((*1 *1 *1)
-  (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1067))))) 
-(((*1 *2 *3)
-  (-12 (-5 *3 (-227)) (-5 *2 (-112)) (-5 *1 (-309 *4 *5)) (-14 *4 *3)
-   (-14 *5 *3)))
+(((*1 *1 *2 *3)
+  (-12 (-5 *2 (-1079 (-1042 *4) (-1191 (-1042 *4)))) (-5 *3 (-874))
+   (-5 *1 (-1042 *4)) (-4 *4 (-13 (-860) (-374) (-1040)))))) 
+(((*1 *2 *3 *3 *4)
+  (-12 (-5 *3 (-656 (-493 *5 *6))) (-5 *4 (-876 *5))
+   (-14 *5 (-656 (-1195))) (-5 *2 (-493 *5 *6)) (-5 *1 (-643 *5 *6))
+   (-4 *6 (-464))))
  ((*1 *2 *3 *4)
-  (-12 (-5 *4 (-1112 (-855 (-227)))) (-5 *3 (-227)) (-5 *2 (-112))
-   (-5 *1 (-315))))
- ((*1 *2 *1 *1)
-  (-12 (-4 *3 (-374)) (-4 *4 (-805)) (-4 *5 (-862)) (-5 *2 (-112))
-   (-5 *1 (-516 *3 *4 *5 *6)) (-4 *6 (-965 *3 *4 *5))))) 
-(((*1 *2 *1) (-12 (-5 *2 (-1291)) (-5 *1 (-834))))) 
+  (-12 (-5 *3 (-656 (-493 *5 *6))) (-5 *4 (-876 *5))
+   (-14 *5 (-656 (-1195))) (-5 *2 (-493 *5 *6)) (-5 *1 (-643 *5 *6))
+   (-4 *6 (-464))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-834)) (-5 *1 (-833))))) 
+(((*1 *2)
+  (-12 (-4 *4 (-1240)) (-4 *5 (-1262 *4)) (-4 *6 (-1262 (-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 (-1240)) (-4 *4 (-1262 *3))
+   (-4 *5 (-1262 (-419 *4))) (-5 *2 (-112))))) 
+(((*1 *2 *1) (-12 (-4 *1 (-1152 *3)) (-4 *3 (-1067)) (-5 *2 (-112))))) 
 (((*1 *2 *3 *4)
-  (-12 (-5 *4 (-304 (-855 *3))) (-4 *3 (-13 (-27) (-1221) (-442 *5)))
-   (-4 *5 (-13 (-464) (-1056 (-576)) (-651 (-576))))
+  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1053)) (-5 *1 (-770))))) 
+(((*1 *2 *3)
+  (-12
+   (-5 *3
+    (-2 (|:| -2869 (-701 (-419 (-968 *4))))
+     (|:| |vec| (-656 (-419 (-968 *4)))) (|:| -4423 (-783))
+     (|:| |rows| (-656 (-576))) (|:| |cols| (-656 (-576)))))
+   (-4 *4 (-13 (-317) (-148))) (-4 *5 (-13 (-862) (-626 (-1195))))
+   (-4 *6 (-805))
    (-5 *2
-    (-3 (-855 *3)
-     (-2 (|:| |leftHandLimit| (-3 (-855 *3) "failed"))
-      (|:| |rightHandLimit| (-3 (-855 *3) "failed")))
-     "failed"))
-   (-5 *1 (-648 *5 *3))))
- ((*1 *2 *3 *4 *5)
-  (|partial| -12 (-5 *4 (-304 *3)) (-5 *5 (-1177))
-      (-4 *3 (-13 (-27) (-1221) (-442 *6)))
-      (-4 *6 (-13 (-464) (-1056 (-576)) (-651 (-576))))
-      (-5 *2 (-855 *3)) (-5 *1 (-648 *6 *3))))
+    (-2 (|:| |partsol| (-1286 (-419 (-968 *4))))
+     (|:| -1898 (-656 (-1286 (-419 (-968 *4)))))))
+   (-5 *1 (-940 *4 *5 *6 *7)) (-4 *7 (-965 *4 *6 *5))))) 
+(((*1 *2 *2)
+  (-12 (-5 *2 (-656 *3)) (-4 *3 (-1262 (-576))) (-5 *1 (-498 *3))))) 
+(((*1 *2 *3)
+  (-12
+   (-5 *3
+    (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227)))
+     (|:| -1908 (-1112 (-855 (-227)))) (|:| |abserr| (-227))
+     (|:| |relerr| (-227))))
+   (-5 *2 (-390)) (-5 *1 (-194))))) 
+(((*1 *2)
+  (-12
+   (-5 *2 (-2 (|:| -3647 (-656 (-1195))) (|:| -3659 (-656 (-1195)))))
+   (-5 *1 (-1238))))) 
+(((*1 *2 *1)
+  (|partial| -12 (-5 *2 (-1079 (-1042 *3) (-1191 (-1042 *3))))
+      (-5 *1 (-1042 *3)) (-4 *3 (-13 (-860) (-374) (-1040)))))) 
+(((*1 *2 *3 *4 *2)
+  (-12 (-5 *3 (-1191 (-419 (-1191 *2)))) (-5 *4 (-624 *2))
+   (-4 *2 (-13 (-442 *5) (-27) (-1221)))
+   (-4 *5 (-13 (-464) (-1056 (-576)) (-148) (-651 (-576))))
+   (-5 *1 (-572 *5 *2 *6)) (-4 *6 (-1118))))
+ ((*1 *1 *2 *3)
+  (-12 (-5 *2 (-1191 *1)) (-4 *1 (-965 *4 *5 *3)) (-4 *4 (-1067))
+   (-4 *5 (-805)) (-4 *3 (-862))))
+ ((*1 *1 *2 *3)
+  (-12 (-5 *2 (-1191 *4)) (-4 *4 (-1067)) (-4 *1 (-965 *4 *5 *3))
+   (-4 *5 (-805)) (-4 *3 (-862))))
  ((*1 *2 *3 *4)
-  (-12 (-5 *4 (-304 (-855 (-968 *5)))) (-4 *5 (-464))
-   (-5 *2
-    (-3 (-855 (-419 (-968 *5)))
-     (-2 (|:| |leftHandLimit| (-3 (-855 (-419 (-968 *5))) "failed"))
-      (|:| |rightHandLimit| (-3 (-855 (-419 (-968 *5))) "failed")))
-     "failed"))
-   (-5 *1 (-649 *5)) (-5 *3 (-419 (-968 *5)))))
+  (-12 (-5 *3 (-419 (-1191 *2))) (-4 *5 (-805)) (-4 *4 (-862))
+   (-4 *6 (-1067))
+   (-4 *2
+    (-13 (-374)
+     (-10 -8 (-15 -2884 ($ *7)) (-15 -1595 (*7 $)) (-15 -1608 (*7 $)))))
+   (-5 *1 (-966 *5 *4 *6 *7 *2)) (-4 *7 (-965 *6 *5 *4))))
  ((*1 *2 *3 *4)
-  (-12 (-5 *4 (-304 (-419 (-968 *5)))) (-5 *3 (-419 (-968 *5)))
-   (-4 *5 (-464))
+  (-12 (-5 *3 (-419 (-1191 (-419 (-968 *5))))) (-5 *4 (-1195))
+   (-5 *2 (-419 (-968 *5))) (-5 *1 (-1061 *5)) (-4 *5 (-568))))) 
+(((*1 *1 *1) (-12 (-4 *1 (-120 *2)) (-4 *2 (-1236))))
+ ((*1 *1 *1) (-12 (-5 *1 (-684 *2)) (-4 *2 (-862))))
+ ((*1 *1 *1) (-12 (-5 *1 (-689 *2)) (-4 *2 (-862))))
+ ((*1 *1 *1) (-5 *1 (-874)))
+ ((*1 *1 *1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-874))))
+ ((*1 *2 *1)
+  (-12 (-4 *2 (-13 (-860) (-374))) (-5 *1 (-1079 *2 *3))
+   (-4 *3 (-1262 *2))))) 
+(((*1 *2 *1) (-12 (-5 *2 (-834)) (-5 *1 (-833))))) 
+(((*1 *2 *3)
+  (-12 (-5 *3 (-656 (-493 *4 *5))) (-14 *4 (-656 (-1195)))
+   (-4 *5 (-464)) (-5 *2 (-656 (-253 *4 *5))) (-5 *1 (-643 *4 *5))))) 
+(((*1 *2 *3 *3)
+  (-12 (-4 *3 (-1240)) (-4 *5 (-1262 *3)) (-4 *6 (-1262 (-419 *5)))
+   (-5 *2 (-112)) (-5 *1 (-352 *4 *3 *5 *6)) (-4 *4 (-353 *3 *5 *6))))
+ ((*1 *2 *3 *3)
+  (-12 (-4 *1 (-353 *3 *4 *5)) (-4 *3 (-1240)) (-4 *4 (-1262 *3))
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+(((*1 *1 *2) (-12 (-5 *2 (-783)) (-5 *1 (-130))))) 
+(((*1 *1 *1 *1 *2)
+  (-12 (-5 *2 (-1 *3 *3 *3 *3 *3)) (-4 *3 (-1118)) (-5 *1 (-103 *3))))
+ ((*1 *2 *1 *3)
+  (-12 (-5 *3 (-1 *2 *2 *2)) (-5 *1 (-103 *2)) (-4 *2 (-1118))))) 
+(((*1 *2 *1)
+  (-12 (-4 *1 (-1152 *3)) (-4 *3 (-1067)) (-5 *2 (-656 (-959 *3)))))
+ ((*1 *1 *2)
+  (-12 (-5 *2 (-656 (-959 *3))) (-4 *3 (-1067)) (-4 *1 (-1152 *3))))
+ ((*1 *1 *1 *2)
+  (-12 (-5 *2 (-656 (-656 *3))) (-4 *1 (-1152 *3)) (-4 *3 (-1067))))
+ ((*1 *1 *1 *2)
+  (-12 (-5 *2 (-656 (-959 *3))) (-4 *1 (-1152 *3)) (-4 *3 (-1067))))) 
+(((*1 *2 *3 *4)
+  (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1053)) (-5 *1 (-770))))) 
+(((*1 *2 *2 *3)
+  (-12
    (-5 *2
-    (-3 (-855 *3)
-     (-2 (|:| |leftHandLimit| (-3 (-855 *3) "failed"))
-      (|:| |rightHandLimit| (-3 (-855 *3) "failed")))
-     "failed"))
-   (-5 *1 (-649 *5))))
- ((*1 *2 *3 *4 *5)
-  (|partial| -12 (-5 *4 (-304 (-419 (-968 *6)))) (-5 *5 (-1177))
-      (-5 *3 (-419 (-968 *6))) (-4 *6 (-464)) (-5 *2 (-855 *3))
-      (-5 *1 (-649 *6))))) 
+    (-2 (|:| |partsol| (-1286 (-419 (-968 *4))))
+     (|:| -1898 (-656 (-1286 (-419 (-968 *4)))))))
+   (-5 *3 (-656 *7)) (-4 *4 (-13 (-317) (-148)))
+   (-4 *7 (-965 *4 *6 *5)) (-4 *5 (-13 (-862) (-626 (-1195))))
+   (-4 *6 (-805)) (-5 *1 (-940 *4 *5 *6 *7))))) 
+(((*1 *2 *2)
+  (-12 (-5 *2 (-656 *3)) (-4 *3 (-1262 (-576))) (-5 *1 (-498 *3))))) 
 (((*1 *2 *3)
-  (-12 (-4 *4 (-13 (-568) (-1056 (-576)))) (-4 *5 (-442 *4))
+  (-12
+   (-5 *3
+    (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227)))
+     (|:| -1908 (-1112 (-855 (-227)))) (|:| |abserr| (-227))
+     (|:| |relerr| (-227))))
    (-5 *2
-    (-3 (|:| |overq| (-1191 (-419 (-576))))
-     (|:| |overan| (-1191 (-48))) (|:| -3580 (-112))))
-   (-5 *1 (-447 *4 *5 *3)) (-4 *3 (-1262 *5))))) 
-(((*1 *2 *3 *4 *5)
-  (-12 (-5 *3 (-1 (-112) *6 *6)) (-4 *6 (-862)) (-5 *4 (-656 *6))
-   (-5 *2 (-2 (|:| |fs| (-112)) (|:| |sd| *4) (|:| |td| (-656 *4))))
-   (-5 *1 (-1206 *6)) (-5 *5 (-656 *4))))) 
+    (-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")))
+   (-5 *1 (-194))))) 
+(((*1 *1 *1) (-5 *1 (-112)))) 
+(((*1 *2 *1) (-12 (-5 *2 (-1122)) (-5 *1 (-52))))) 
 (((*1 *2 *3)
-  (-12 (-5 *3 (-943))
+  (-12 (-5 *3 (-656 (-1195))) (-5 *2 (-1291)) (-5 *1 (-1238))))
+ ((*1 *2 *3 *3)
+  (-12 (-5 *3 (-656 (-1195))) (-5 *2 (-1291)) (-5 *1 (-1238))))) 
+(((*1 *2 *3)
+  (-12
    (-5 *2
-    (-2 (|:| |brans| (-656 (-656 (-959 (-227)))))
-     (|:| |xValues| (-1112 (-227))) (|:| |yValues| (-1112 (-227)))))
-   (-5 *1 (-154))))
- ((*1 *2 *3 *4 *4)
-  (-12 (-5 *3 (-943)) (-5 *4 (-419 (-576)))
+    (-656 (-2 (|:| -2419 (-419 (-576))) (|:| -2436 (-419 (-576))))))
+   (-5 *1 (-1038 *3)) (-4 *3 (-1262 (-576)))))
+ ((*1 *2 *3 *4)
+  (-12
    (-5 *2
-    (-2 (|:| |brans| (-656 (-656 (-959 (-227)))))
-     (|:| |xValues| (-1112 (-227))) (|:| |yValues| (-1112 (-227)))))
-   (-5 *1 (-154))))
- ((*1 *2 *3)
+    (-656 (-2 (|:| -2419 (-419 (-576))) (|:| -2436 (-419 (-576))))))
+   (-5 *1 (-1038 *3)) (-4 *3 (-1262 (-576)))
+   (-5 *4 (-2 (|:| -2419 (-419 (-576))) (|:| -2436 (-419 (-576)))))))
+ ((*1 *2 *3 *4)
   (-12
    (-5 *2
-    (-2 (|:| |brans| (-656 (-656 (-959 (-227)))))
-     (|:| |xValues| (-1112 (-227))) (|:| |yValues| (-1112 (-227)))))
-   (-5 *1 (-154)) (-5 *3 (-656 (-959 (-227))))))
+    (-656 (-2 (|:| -2419 (-419 (-576))) (|:| -2436 (-419 (-576))))))
+   (-5 *1 (-1038 *3)) (-4 *3 (-1262 (-576))) (-5 *4 (-419 (-576)))))
+ ((*1 *2 *3 *4 *5)
+  (-12 (-5 *5 (-419 (-576)))
+   (-5 *2 (-656 (-2 (|:| -2419 *5) (|:| -2436 *5)))) (-5 *1 (-1038 *3))
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  ((*1 *2 *3)
   (-12
    (-5 *2
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-   (-5 *1 (-154)) (-5 *3 (-656 (-656 (-959 (-227)))))))
- ((*1 *1 *2) (-12 (-5 *2 (-656 (-1112 (-390)))) (-5 *1 (-270))))
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-(((*1 *2)
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-(((*1 *2 *3)
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-   (-5 *1 (-960 *4 *5)) (-14 *4 (-656 (-1195)))))) 
-(((*1 *2 *3 *3 *4 *4 *4 *3)
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-   (-5 *1 (-763))))) 
-(((*1 *1) (-12 (-4 *1 (-339 *2)) (-4 *2 (-379)) (-4 *2 (-374))))) 
-(((*1 *2 *3)
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-(((*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-862)) (-5 *1 (-122 *3))))) 
-(((*1 *2) (-12 (-5 *2 (-1165 (-1177))) (-5 *1 (-403))))) 
+    (-656 (-2 (|:| -2419 (-419 (-576))) (|:| -2436 (-419 (-576))))))
+   (-5 *1 (-1039 *3)) (-4 *3 (-1262 (-419 (-576))))))
+ ((*1 *2 *3 *4)
+  (-12
+   (-5 *2
+    (-656 (-2 (|:| -2419 (-419 (-576))) (|:| -2436 (-419 (-576))))))
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+ ((*1 *2 *3 *4)
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 (((*1 *1 *2 *3)
-  (-12 (-5 *3 (-1177)) (-4 *1 (-375 *2 *4)) (-4 *2 (-1118))
-   (-4 *4 (-1118))))
- ((*1 *1 *2)
-  (-12 (-4 *1 (-375 *2 *3)) (-4 *2 (-1118)) (-4 *3 (-1118))))) 
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+ ((*1 *1 *2 *3)
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+ ((*1 *1 *2 *3)
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+    (-1 (-112) (-2 (|:| -4318 *5) (|:| -1359 *6))
+     (-2 (|:| -4318 *5) (|:| -1359 *6))))
+   (-14 *4 (-656 (-1195))) (-4 *2 (-174))
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+ ((*1 *1 *2 *3)
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+ ((*1 *1 *2 *3)
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+ ((*1 *1 *2 *3)
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+ ((*1 *1 *1 *2 *3)
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+ ((*1 *1 *2 *3) (-12 (-5 *3 (-783)) (-4 *1 (-864 *2)) (-4 *2 (-1067))))
+ ((*1 *1 *1 *2 *3)
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+ ((*1 *1 *1 *2 *3)
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+ ((*1 *1 *1 *2 *3)
+  (-12 (-4 *1 (-991 *4 *3 *2)) (-4 *4 (-1067)) (-4 *3 (-804))
+   (-4 *2 (-862))))) 
+(((*1 *2 *2 *3)
+  (-12 (-5 *3 (-419 (-576))) (-4 *4 (-1056 (-576))) (-4 *4 (-568))
+   (-5 *1 (-32 *4 *2)) (-4 *2 (-442 *4))))
+ ((*1 *1 *1 *1) (-5 *1 (-135)))
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   (|partial| -12 (-5 *4 (-624 *3)) (-5 *5 (-656 *3))
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@@ -17383,954 +17043,1294 @@
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\ No newline at end of file