* algebra/any.spad.pamphlet: Tidy. Redeuce Lisp usage.

author: dos-reis <gdr@axiomatics.org> 2009-05-16 01:55:18 +0000
committer: dos-reis <gdr@axiomatics.org> 2009-05-16 01:55:18 +0000
commit: 1f494025090f73be6f638bea1827e352df9921db (patch)
tree: 4a990f63b7b33779e3bd0c8d501a67d12175f516 /src/share/algebra/browse.daase
parent: ee573325df58dbcc33596630d2710ad2cd37a77d (diff)
download: open-axiom-1f494025090f73be6f638bea1827e352df9921db.tar.gz
1 files changed, 32 insertions, 32 deletions
diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase
index e3c6990f..7cd07f93 100644
--- a/src/share/algebra/browse.daase
+++ b/src/share/algebra/browse.daase
@@ -1,5 +1,5 @@
 
-(2283441 . 3451403472)       
+(2283489 . 3451427255)       
 (-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 
@@ -88,7 +88,7 @@ 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 -2308 UP UPUP -3722) 
+(-40 -2308 UP UPUP -3253) 
 ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}"))) 
 ((-4399 |has| (-407 |#2|) (-363)) (-4404 |has| (-407 |#2|) (-363)) (-4398 |has| (-407 |#2|) (-363)) ((-4408 "*") . T) (-4400 . T) (-4401 . T) (-4403 . T)) 
 ((|HasCategory| (-407 |#2|) (QUOTE (-145))) (|HasCategory| (-407 |#2|) (QUOTE (-147))) (|HasCategory| (-407 |#2|) (QUOTE (-349))) (-2797 (|HasCategory| (-407 |#2|) (QUOTE (-363))) (|HasCategory| (-407 |#2|) (QUOTE (-349)))) (|HasCategory| (-407 |#2|) (QUOTE (-363))) (|HasCategory| (-407 |#2|) (QUOTE (-368))) (-2797 (-12 (|HasCategory| (-407 |#2|) (QUOTE (-233))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (|HasCategory| (-407 |#2|) (QUOTE (-349)))) (-2797 (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-349))))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -637) (QUOTE (-564)))) (-2797 (|HasCategory| (-407 |#2|) (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -1034) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-368))) (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (-12 (|HasCategory| (-407 |#2|) (QUOTE (-233))) (|HasCategory| (-407 |#2|) (QUOTE (-363))))) 
@@ -365,7 +365,7 @@ NIL
 ((-4398 . T) (-4404 . T) (-4399 . T) ((-4408 "*") . T) (-4400 . T) (-4401 . T) (-4403 . T)) 
 ((|HasCategory| (-564) (QUOTE (-905))) (|HasCategory| (-564) (LIST (QUOTE -1034) (QUOTE (-1170)))) (|HasCategory| (-564) (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-147))) (|HasCategory| (-564) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-564) (QUOTE (-1018))) (|HasCategory| (-564) (QUOTE (-816))) (-2797 (|HasCategory| (-564) (QUOTE (-816))) (|HasCategory| (-564) (QUOTE (-846)))) (|HasCategory| (-564) (LIST (QUOTE -1034) (QUOTE (-564)))) (|HasCategory| (-564) (QUOTE (-1145))) (|HasCategory| (-564) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| (-564) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| (-564) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| (-564) (QUOTE (-233))) (|HasCategory| (-564) (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| (-564) (LIST (QUOTE -514) (QUOTE (-1170)) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -309) (QUOTE (-564)))) (|HasCategory| (-564) (LIST (QUOTE -286) (QUOTE (-564)) (QUOTE (-564)))) (|HasCategory| (-564) (QUOTE (-307))) (|HasCategory| (-564) (QUOTE (-545))) (|HasCategory| (-564) (QUOTE (-846))) (|HasCategory| (-564) (LIST (QUOTE -637) (QUOTE (-564)))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-905)))) (-2797 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-564) (QUOTE (-905)))) (|HasCategory| (-564) (QUOTE (-145))))) 
 (-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| (($ (|Symbol|) (|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| (((|Symbol|) $) "\\spad{name(b)} returns the name of binding \\spad{b}"))) 
+((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 18,{} 2008. A `Binding' is a name asosciated with a collection of properties.")) (|binding| (($ (|Identifier|) (|List| (|Property|))) "\\spad{binding(n,{}props)} constructs a binding with name \\spad{`n'} and property list `props'.")) (|properties| (((|List| (|Property|)) $) "\\spad{properties(b)} returns the properties associated with binding \\spad{b}.")) (|name| (((|Identifier|) $) "\\spad{name(b)} returns the name of binding \\spad{b}"))) 
 NIL 
 NIL 
 (-110) 
@@ -594,7 +594,7 @@ NIL
 ((|HasCategory| |#2| (QUOTE (-905))) (|HasCategory| |#2| (QUOTE (-545))) (|HasCategory| |#2| (QUOTE (-998))) (|HasCategory| |#2| (QUOTE (-1194))) (|HasCategory| |#2| (QUOTE (-1054))) (|HasCategory| |#2| (QUOTE (-1018))) (|HasCategory| |#2| (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (QUOTE (-363))) (|HasAttribute| |#2| (QUOTE -4402)) (|HasAttribute| |#2| (QUOTE -4405)) (|HasCategory| |#2| (QUOTE (-307))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-846)))) 
 (-166 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})"))) 
-((-4399 -2797 (|has| |#1| (-556)) (-12 (|has| |#1| (-307)) (|has| |#1| (-905)))) (-4404 |has| |#1| (-363)) (-4398 |has| |#1| (-363)) (-4402 |has| |#1| (-6 -4402)) (-4405 |has| |#1| (-6 -4405)) (-3604 . T) ((-4408 "*") . T) (-4400 . T) (-4401 . T) (-4403 . T)) 
+((-4399 -2797 (|has| |#1| (-556)) (-12 (|has| |#1| (-307)) (|has| |#1| (-905)))) (-4404 |has| |#1| (-363)) (-4398 |has| |#1| (-363)) (-4402 |has| |#1| (-6 -4402)) (-4405 |has| |#1| (-6 -4405)) (-3609 . T) ((-4408 "*") . T) (-4400 . T) (-4401 . T) (-4403 . T)) 
 NIL 
 (-167 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."))) 
@@ -606,7 +606,7 @@ NIL
 NIL 
 (-169 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}."))) 
-((-4399 -2797 (|has| |#1| (-556)) (-12 (|has| |#1| (-307)) (|has| |#1| (-905)))) (-4404 |has| |#1| (-363)) (-4398 |has| |#1| (-363)) (-4402 |has| |#1| (-6 -4402)) (-4405 |has| |#1| (-6 -4405)) (-3604 . T) ((-4408 "*") . T) (-4400 . T) (-4401 . T) (-4403 . T)) 
+((-4399 -2797 (|has| |#1| (-556)) (-12 (|has| |#1| (-307)) (|has| |#1| (-905)))) (-4404 |has| |#1| (-363)) (-4398 |has| |#1| (-363)) (-4402 |has| |#1| (-6 -4402)) (-4405 |has| |#1| (-6 -4405)) (-3609 . T) ((-4408 "*") . T) (-4400 . T) (-4401 . T) (-4403 . T)) 
 ((|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-349))) (-2797 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-349)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-368))) (-2797 (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#1| (QUOTE (-349)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-349)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -514) (QUOTE (-1170)) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-349)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-349)))) (-12 (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-349)))) (-12 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-349)))) (|HasCategory| |#1| (QUOTE (-233))) (-12 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-349)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-349)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (LIST (QUOTE -286) (|devaluate| |#1|) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170))))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-368)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-824)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-846)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-1018)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-1194)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536))))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (-2797 (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2797 (-12 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-363))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-905))))) (-2797 (-12 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-905)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-905)))) (-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-905))))) (-2797 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| |#1| (QUOTE (-998))) (|HasCategory| |#1| (QUOTE (-1194)))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (QUOTE (-1018))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-2797 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-349)))) (|HasCategory| |#1| (QUOTE (-846))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -514) (QUOTE (-1170)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -286) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-824))) (|HasCategory| |#1| (QUOTE (-1054))) (-12 (|HasCategory| |#1| (QUOTE (-1054))) (|HasCategory| |#1| (QUOTE (-1194)))) (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-905))) (-2797 (-12 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-363)))) (-2797 (-12 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-233))) (-12 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasAttribute| |#1| (QUOTE -4402)) (|HasAttribute| |#1| (QUOTE -4405)) (-12 (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170))))) (-2797 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-145)))) (-2797 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-349))))) 
 (-170 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"))) 
@@ -629,7 +629,7 @@ NIL
 (((-4408 "*") . T) (-4399 . T) (-4404 . T) (-4398 . T) (-4400 . T) (-4401 . T) (-4403 . T)) 
 NIL 
 (-175) 
-((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 18,{} 2008. A `Contour' a list of bindings making up a `virtual scope'.")) (|findBinding| (((|Maybe| (|Binding|)) (|Symbol|) $) "\\spad{findBinding(c,{}n)} returns the first binding associated with \\spad{`n'}. Otherwise `nothing.")) (|push| (($ (|Binding|) $) "\\spad{push(c,{}b)} augments the contour with binding \\spad{`b'}.")) (|bindings| (((|List| (|Binding|)) $) "\\spad{bindings(c)} returns the list of bindings in countour \\spad{c}."))) 
+((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 18,{} 2008. A `Contour' a list of bindings making up a `virtual scope'.")) (|findBinding| (((|Maybe| (|Binding|)) (|Identifier|) $) "\\spad{findBinding(c,{}n)} returns the first binding associated with \\spad{`n'}. Otherwise `nothing.")) (|push| (($ (|Binding|) $) "\\spad{push(c,{}b)} augments the contour with binding \\spad{`b'}.")) (|bindings| (((|List| (|Binding|)) $) "\\spad{bindings(c)} returns the list of bindings in countour \\spad{c}."))) 
 NIL 
 NIL 
 (-176 R) 
@@ -1084,7 +1084,7 @@ 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 
-(-289 S R |Mod| -4023 -4146 |exactQuo|) 
+(-289 S R |Mod| -2039 -3872 |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}")) (|elt| ((|#2| $ |#2|) "\\spad{elt(x,{}r)} or \\spad{x}.\\spad{r} \\undocumented")) (|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| $) "\\spad{modulus(x)} \\undocumented"))) 
 ((-4399 . T) ((-4408 "*") . T) (-4400 . T) (-4401 . T) (-4403 . T)) 
 NIL 
@@ -1093,7 +1093,7 @@ NIL
 ((-4399 . T) (-4400 . T) (-4401 . T) (-4403 . T)) 
 NIL 
 (-291) 
-((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 19,{} 2008. An `Environment' is a stack of scope.")) (|categoryFrame| (($) "the current category environment in the interpreter.")) (|interactiveEnv| (($) "the current interactive environment in effect.")) (|currentEnv| (($) "the current normal environment in effect.")) (|setProperties!| (($ (|Symbol|) (|List| (|Property|)) $) "setBinding!(\\spad{n},{}props,{}\\spad{e}) set the list of properties of \\spad{`n'} to `props' in `e'.")) (|getProperties| (((|List| (|Property|)) (|Symbol|) $) "getBinding(\\spad{n},{}\\spad{e}) returns the list of properties of \\spad{`n'} in \\spad{e}.")) (|setProperty!| (($ (|Symbol|) (|Symbol|) (|SExpression|) $) "\\spad{setProperty!(n,{}p,{}v,{}e)} binds the property `(\\spad{p},{}\\spad{v})' to \\spad{`n'} in the topmost scope of `e'.")) (|getProperty| (((|Maybe| (|SExpression|)) (|Symbol|) (|Symbol|) $) "\\spad{getProperty(n,{}p,{}e)} returns the value of property with name \\spad{`p'} for the symbol \\spad{`n'} in environment `e'. Otherwise,{} `nothing.")) (|scopes| (((|List| (|Scope|)) $) "\\spad{scopes(e)} returns the stack of scopes in environment \\spad{e}.")) (|empty| (($) "\\spad{empty()} constructs an empty environment"))) 
+((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 19,{} 2008. An `Environment' is a stack of scope.")) (|categoryFrame| (($) "the current category environment in the interpreter.")) (|interactiveEnv| (($) "the current interactive environment in effect.")) (|currentEnv| (($) "the current normal environment in effect.")) (|setProperties!| (($ (|Identifier|) (|List| (|Property|)) $) "setBinding!(\\spad{n},{}props,{}\\spad{e}) set the list of properties of \\spad{`n'} to `props' in `e'.")) (|getProperties| (((|List| (|Property|)) (|Identifier|) $) "getBinding(\\spad{n},{}\\spad{e}) returns the list of properties of \\spad{`n'} in \\spad{e}.")) (|setProperty!| (($ (|Identifier|) (|Identifier|) (|SExpression|) $) "\\spad{setProperty!(n,{}p,{}v,{}e)} binds the property `(\\spad{p},{}\\spad{v})' to \\spad{`n'} in the topmost scope of `e'.")) (|getProperty| (((|Maybe| (|SExpression|)) (|Identifier|) (|Identifier|) $) "\\spad{getProperty(n,{}p,{}e)} returns the value of property with name \\spad{`p'} for the symbol \\spad{`n'} in environment `e'. Otherwise,{} `nothing.")) (|scopes| (((|List| (|Scope|)) $) "\\spad{scopes(e)} returns the stack of scopes in environment \\spad{e}.")) (|empty| (($) "\\spad{empty()} constructs an empty environment"))) 
 NIL 
 NIL 
 (-292 R) 
@@ -1207,7 +1207,7 @@ NIL
 (-319 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."))) 
 (((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4404 |has| |#1| (-363)) (-4398 |has| |#1| (-363)) (-4400 . T) (-4401 . T) (-4403 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2344) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -3847) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2345) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2700) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) 
 (-320 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 
@@ -1827,7 +1827,7 @@ NIL
 (-474 |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."))) 
 (((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4404 |has| |#1| (-363)) (-4398 |has| |#1| (-363)) (-4400 . T) (-4401 . T) (-4403 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2344) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -3847) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2345) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2700) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) 
 (-475 |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."))) 
 ((-4407 . T)) 
@@ -2307,7 +2307,7 @@ NIL
 (-594 |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}."))) 
 (((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4400 . T) (-4401 . T) (-4403 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-564)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-564)) (|devaluate| |#1|)))) (|HasCategory| (-564) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2344) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-564)))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-564)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-564)) (|devaluate| |#1|)))) (|HasCategory| (-564) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2345) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-564)))))) 
 (-595 |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}.") (($ $ |#1|) "\\spad{x*c} returns the product of \\spad{c} and the series \\spad{x}.") (($ |#1| $) "\\spad{c*x} returns the product of \\spad{c} 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.}"))) 
 ((-4401 |has| |#1| (-556)) (-4400 |has| |#1| (-556)) ((-4408 "*") |has| |#1| (-556)) (-4399 |has| |#1| (-556)) (-4403 . T)) 
@@ -2544,7 +2544,7 @@ NIL
 ((|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)))) 
-(-654 A -2606) 
+(-654 A -1329) 
 ((|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}}"))) 
 ((-4400 . T) (-4401 . T) (-4403 . T)) 
 ((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-363)))) 
@@ -2690,7 +2690,7 @@ NIL
 NIL 
 (-690) 
 ((|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"))) 
-((-4399 . T) (-4404 |has| (-695) (-363)) (-4398 |has| (-695) (-363)) (-3604 . T) (-4405 |has| (-695) (-6 -4405)) (-4402 |has| (-695) (-6 -4402)) ((-4408 "*") . T) (-4400 . T) (-4401 . T) (-4403 . T)) 
+((-4399 . T) (-4404 |has| (-695) (-363)) (-4398 |has| (-695) (-363)) (-3609 . T) (-4405 |has| (-695) (-6 -4405)) (-4402 |has| (-695) (-6 -4402)) ((-4408 "*") . T) (-4400 . T) (-4401 . T) (-4403 . T)) 
 ((|HasCategory| (-695) (QUOTE (-147))) (|HasCategory| (-695) (QUOTE (-145))) (|HasCategory| (-695) (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-695) (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| (-695) (QUOTE (-368))) (|HasCategory| (-695) (QUOTE (-363))) (-2797 (|HasCategory| (-695) (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-695) (QUOTE (-363)))) (|HasCategory| (-695) (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| (-695) (QUOTE (-233))) (-2797 (|HasCategory| (-695) (QUOTE (-363))) (|HasCategory| (-695) (QUOTE (-349)))) (|HasCategory| (-695) (QUOTE (-349))) (|HasCategory| (-695) (LIST (QUOTE -286) (QUOTE (-695)) (QUOTE (-695)))) (|HasCategory| (-695) (LIST (QUOTE -309) (QUOTE (-695)))) (|HasCategory| (-695) (LIST (QUOTE -514) (QUOTE (-1170)) (QUOTE (-695)))) (|HasCategory| (-695) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| (-695) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| (-695) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| (-695) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (-2797 (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-363))) (|HasCategory| (-695) (QUOTE (-349)))) (|HasCategory| (-695) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| (-695) (QUOTE (-1018))) (|HasCategory| (-695) (QUOTE (-1194))) (-12 (|HasCategory| (-695) (QUOTE (-998))) (|HasCategory| (-695) (QUOTE (-1194)))) (-2797 (-12 (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-905)))) (|HasCategory| (-695) (QUOTE (-363))) (-12 (|HasCategory| (-695) (QUOTE (-349))) (|HasCategory| (-695) (QUOTE (-905))))) (-2797 (-12 (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-905)))) (-12 (|HasCategory| (-695) (QUOTE (-363))) (|HasCategory| (-695) (QUOTE (-905)))) (-12 (|HasCategory| (-695) (QUOTE (-349))) (|HasCategory| (-695) (QUOTE (-905))))) (|HasCategory| (-695) (QUOTE (-545))) (-12 (|HasCategory| (-695) (QUOTE (-1054))) (|HasCategory| (-695) (QUOTE (-1194)))) (|HasCategory| (-695) (QUOTE (-1054))) (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-905))) (-2797 (-12 (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-905)))) (|HasCategory| (-695) (QUOTE (-363)))) (-2797 (-12 (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-905)))) (|HasCategory| (-695) (QUOTE (-556)))) (-12 (|HasCategory| (-695) (QUOTE (-233))) (|HasCategory| (-695) (QUOTE (-363)))) (-12 (|HasCategory| (-695) (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| (-695) (QUOTE (-363)))) (|HasCategory| (-695) (LIST (QUOTE -1034) (QUOTE (-564)))) (|HasCategory| (-695) (QUOTE (-846))) (|HasCategory| (-695) (QUOTE (-556))) (|HasAttribute| (-695) (QUOTE -4405)) (|HasAttribute| (-695) (QUOTE -4402)) (-12 (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-905)))) (-2797 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-905)))) (|HasCategory| (-695) (QUOTE (-145)))) (-2797 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-695) (QUOTE (-307))) (|HasCategory| (-695) (QUOTE (-905)))) (|HasCategory| (-695) (QUOTE (-349))))) 
 (-691 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}."))) 
@@ -2736,7 +2736,7 @@ 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 
-(-702 S -3932 I) 
+(-702 S -3933 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 
@@ -2756,7 +2756,7 @@ 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 
-(-707 R |Mod| -4023 -4146 |exactQuo|) 
+(-707 R |Mod| -2039 -3872 |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| $) "\\spad{modulus(x)} \\undocumented"))) 
 ((-4398 . T) (-4404 . T) (-4399 . T) ((-4408 "*") . T) (-4400 . T) (-4401 . T) (-4403 . T)) 
 NIL 
@@ -2772,7 +2772,7 @@ NIL
 ((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#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| (($ $ $) "\\spad{adjoint(op1,{} op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) 
 ((-4401 |has| |#1| (-172)) (-4400 |has| |#1| (-172)) (-4403 . T)) 
 ((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147)))) 
-(-711 R |Mod| -4023 -4146 |exactQuo|) 
+(-711 R |Mod| -2039 -3872 |exactQuo|) 
 ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\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"))) 
 ((-4403 . T)) 
 NIL 
@@ -3472,7 +3472,7 @@ 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 
-(-886 R -3932) 
+(-886 R -3933) 
 ((|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 
@@ -3660,11 +3660,11 @@ 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 -882) (|devaluate| |#1|)))) 
-(-933 R -2308 -3932) 
+(-933 R -2308 -3933) 
 ((|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 
-(-934 -3932) 
+(-934 -3933) 
 ((|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 
@@ -3773,7 +3773,7 @@ NIL
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+((|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|) $) "\\spad{name(p)} returns the name of property \\spad{p}"))) 
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 (-962 T$) 
@@ -4245,7 +4245,7 @@ NIL
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-((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 18,{} 2008. A `Scope' is a sequence of contours.")) (|currentCategoryFrame| (($) "\\spad{currentCategoryFrame()} returns the category frame currently in effect.")) (|currentScope| (($) "\\spad{currentScope()} returns the scope currently in effect")) (|pushNewContour| (($ (|Binding|) $) "\\spad{pushNewContour(b,{}s)} pushs a new contour with sole binding \\spad{`b'}.")) (|findBinding| (((|Maybe| (|Binding|)) (|Symbol|) $) "\\spad{findBinding(n,{}s)} returns the first binding of \\spad{`n'} in \\spad{`s'}; otherwise `nothing'.")) (|contours| (((|List| (|Contour|)) $) "\\spad{contours(s)} returns the list of contours in scope \\spad{s}.")) (|empty| (($) "\\spad{empty()} returns an empty scope."))) 
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 NIL 
 NIL 
 (-1080 R) 
@@ -4575,7 +4575,7 @@ NIL
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(QUOTE -1034) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-12 (|HasCategory| (-1168 |#1| |#2| |#3|) (QUOTE (-816))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1168 |#1| |#2| |#3|) (QUOTE (-905))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-172)))) (-12 (|HasCategory| (-1168 |#1| |#2| |#3|) (QUOTE (-846))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-1168 |#1| |#2| |#3|) (QUOTE (-905))) (|HasCategory| |#1| (QUOTE (-363)))) (-2797 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| (-1168 |#1| |#2| |#3|) (QUOTE (-905))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| (-1168 |#1| |#2| |#3|) (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-145))))) 
 (-1162 R -2308) 
 ((|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 
@@ -4599,11 +4599,11 @@ NIL
 (-1167 |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}."))) 
 (((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4404 |has| |#1| (-363)) (-4398 |has| |#1| (-363)) (-4400 . T) (-4401 . T) (-4403 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2344) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -3847) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2345) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2700) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) 
 (-1168 |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}."))) 
 (((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4400 . T) (-4401 . T) (-4403 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|)))) (|HasCategory| (-767) (QUOTE (-1106))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasSignature| |#1| (LIST (QUOTE -2344) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasCategory| |#1| (QUOTE (-363))) (-2797 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -3847) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|)))) (|HasCategory| (-767) (QUOTE (-1106))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasSignature| |#1| (LIST (QUOTE -2345) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasCategory| |#1| (QUOTE (-363))) (-2797 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2700) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) 
 (-1169) 
 ((|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 
@@ -4819,11 +4819,11 @@ NIL
 (-1222 |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)}."))) 
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 (-1223 |Coef| |var| |cen|) 
 ((|constructor| (NIL "Dense Laurent series in one variable \\indented{2}{\\spadtype{UnivariateLaurentSeries} 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{UnivariateLaurentSeries(Integer,{}x,{}3)} represents Laurent series in} \\indented{2}{\\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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 (-1224 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 
@@ -4875,7 +4875,7 @@ NIL
 (-1236 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}.")) (|elt| ((|#2| $ |#3|) "\\spad{elt(f(x),{}r)} returns the coefficient of the term of degree \\spad{r} in \\spad{f(x)}. This is the same as the function \\spadfun{coefficient}.")) (|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 
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+((|HasCategory| |#2| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1106))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -2345) (LIST (|devaluate| |#2|) (QUOTE (-1170)))))) 
 (-1237 |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}.")) (|elt| ((|#1| $ |#2|) "\\spad{elt(f(x),{}r)} returns the coefficient of the term of degree \\spad{r} in \\spad{f(x)}. This is the same as the function \\spadfun{coefficient}.")) (|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."))) 
 (((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4400 . T) (-4401 . T) (-4403 . T)) 
@@ -4903,11 +4903,11 @@ NIL
 (-1243 |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)}."))) 
 (((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4404 |has| |#1| (-363)) (-4398 |has| |#1| (-363)) (-4400 . T) (-4401 . T) (-4403 . T)) 
-((|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2344) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -3847) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) 
+((|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2345) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2700) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) 
 (-1244 |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}."))) 
 (((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4404 |has| |#1| (-363)) (-4398 |has| |#1| (-363)) (-4400 . T) (-4401 . T) (-4403 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2344) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -3847) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2345) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2700) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) 
 (-1245 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") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> cen+,{}f(var))}."))) 
 (((-4408 "*") |has| (-1244 |#2| |#3| |#4|) (-172)) (-4399 |has| (-1244 |#2| |#3| |#4|) (-556)) (-4400 . T) (-4401 . T) (-4403 . T)) 
@@ -4927,7 +4927,7 @@ NIL
 (-1249 S |Coef|) 
 ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|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 (-564)))) (|HasCategory| |#2| (QUOTE (-955))) (|HasCategory| |#2| (QUOTE (-1194))) (|HasSignature| |#2| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -3847) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1170))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-363)))) 
+((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-955))) (|HasCategory| |#2| (QUOTE (-1194))) (|HasSignature| |#2| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -2700) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1170))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-363)))) 
 (-1250 |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."))) 
 (((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4400 . T) (-4401 . T) (-4403 . T)) 
@@ -4935,7 +4935,7 @@ NIL
 (-1251 |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|) $) "\\spad{multisect(a,{}b,{}f(x))} selects the coefficients of \\indented{1}{\\spad{x^((a+b)*n+a)},{} and changes this monomial to \\spad{x^n}.}")) (|revert| (($ $) "\\spad{revert(f(x))} returns a Taylor series \\spad{g(x)} such that \\spad{f(g(x)) = g(f(x)) = x}. Series \\spad{f(x)} should have constant coefficient 0 and 1st order coefficient 1.")) (|generalLambert| (($ $ (|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}."))) 
 (((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4400 . T) (-4401 . T) (-4403 . T)) 
-((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|)))) (|HasCategory| (-767) (QUOTE (-1106))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasSignature| |#1| (LIST (QUOTE -2344) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasCategory| |#1| (QUOTE (-363))) (-2797 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -3847) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) 
+((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|)))) (|HasCategory| (-767) (QUOTE (-1106))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasSignature| |#1| (LIST (QUOTE -2345) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasCategory| |#1| (QUOTE (-363))) (-2797 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2700) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) 
 (-1252 |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 
@@ -5096,4 +5096,4 @@ NIL
 NIL 
 NIL 
 NIL 
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(-844 "ORDRING.spad" 1397574 1397582 1398164 1398179) (-843 "ORDRING.spad" 1396972 1396982 1397564 1397569) (-842 "ORDMON.spad" 1396827 1396835 1396962 1396967) (-841 "ORDFUNS.spad" 1395953 1395969 1396817 1396822) (-840 "ORDFIN.spad" 1395773 1395781 1395943 1395948) (-839 "ORDCOMP.spad" 1394238 1394248 1395320 1395349) (-838 "ORDCOMP2.spad" 1393523 1393535 1394228 1394233) (-837 "OPTPROB.spad" 1392161 1392169 1393513 1393518) (-836 "OPTPACK.spad" 1384546 1384554 1392151 1392156) (-835 "OPTCAT.spad" 1382221 1382229 1384536 1384541) (-834 "OPSIG.spad" 1381873 1381881 1382211 1382216) (-833 "OPQUERY.spad" 1381422 1381430 1381863 1381868) (-832 "OP.spad" 1381164 1381174 1381244 1381311) (-831 "OPERCAT.spad" 1380752 1380762 1381154 1381159) (-830 "OPERCAT.spad" 1380338 1380350 1380742 1380747) (-829 "ONECOMP.spad" 1379083 1379093 1379885 1379914) (-828 "ONECOMP2.spad" 1378501 1378513 1379073 1379078) (-827 "OMSERVER.spad" 1377503 1377511 1378491 1378496) (-826 "OMSAGG.spad" 1377291 1377301 1377459 1377498) (-825 "OMPKG.spad" 1375903 1375911 1377281 1377286) (-824 "OM.spad" 1374868 1374876 1375893 1375898) (-823 "OMLO.spad" 1374293 1374305 1374754 1374793) (-822 "OMEXPR.spad" 1374127 1374137 1374283 1374288) (-821 "OMERR.spad" 1373670 1373678 1374117 1374122) (-820 "OMERRK.spad" 1372704 1372712 1373660 1373665) (-819 "OMENC.spad" 1372048 1372056 1372694 1372699) (-818 "OMDEV.spad" 1366337 1366345 1372038 1372043) (-817 "OMCONN.spad" 1365746 1365754 1366327 1366332) (-816 "OINTDOM.spad" 1365509 1365517 1365672 1365741) (-815 "OFMONOID.spad" 1361696 1361706 1365499 1365504) (-814 "ODVAR.spad" 1360957 1360967 1361686 1361691) (-813 "ODR.spad" 1360601 1360627 1360769 1360918) (-812 "ODPOL.spad" 1357947 1357957 1358287 1358414) (-811 "ODP.spad" 1347794 1347814 1348167 1348298) (-810 "ODETOOLS.spad" 1346377 1346396 1347784 1347789) (-809 "ODESYS.spad" 1344027 1344044 1346367 1346372) (-808 "ODERTRIC.spad" 1339968 1339985 1343984 1343989) (-807 "ODERED.spad" 1339355 1339379 1339958 1339963) (-806 "ODERAT.spad" 1336906 1336923 1339345 1339350) (-805 "ODEPRRIC.spad" 1333797 1333819 1336896 1336901) (-804 "ODEPROB.spad" 1333054 1333062 1333787 1333792) (-803 "ODEPRIM.spad" 1330328 1330350 1333044 1333049) (-802 "ODEPAL.spad" 1329704 1329728 1330318 1330323) (-801 "ODEPACK.spad" 1316306 1316314 1329694 1329699) (-800 "ODEINT.spad" 1315737 1315753 1316296 1316301) (-799 "ODEIFTBL.spad" 1313132 1313140 1315727 1315732) (-798 "ODEEF.spad" 1308499 1308515 1313122 1313127) (-797 "ODECONST.spad" 1308018 1308036 1308489 1308494) (-796 "ODECAT.spad" 1306614 1306622 1308008 1308013) (-795 "OCT.spad" 1304752 1304762 1305468 1305507) (-794 "OCTCT2.spad" 1304396 1304417 1304742 1304747) (-793 "OC.spad" 1302170 1302180 1304352 1304391) (-792 "OC.spad" 1299669 1299681 1301853 1301858) (-791 "OCAMON.spad" 1299517 1299525 1299659 1299664) (-790 "OASGP.spad" 1299332 1299340 1299507 1299512) (-789 "OAMONS.spad" 1298852 1298860 1299322 1299327) (-788 "OAMON.spad" 1298713 1298721 1298842 1298847) (-787 "OAGROUP.spad" 1298575 1298583 1298703 1298708) (-786 "NUMTUBE.spad" 1298162 1298178 1298565 1298570) (-785 "NUMQUAD.spad" 1286024 1286032 1298152 1298157) (-784 "NUMODE.spad" 1277160 1277168 1286014 1286019) (-783 "NUMINT.spad" 1274718 1274726 1277150 1277155) (-782 "NUMFMT.spad" 1273558 1273566 1274708 1274713) (-781 "NUMERIC.spad" 1265630 1265640 1273363 1273368) (-780 "NTSCAT.spad" 1264132 1264148 1265598 1265625) (-779 "NTPOLFN.spad" 1263677 1263687 1264049 1264054) (-778 "NSUP.spad" 1256687 1256697 1261227 1261380) (-777 "NSUP2.spad" 1256079 1256091 1256677 1256682) (-776 "NSMP.spad" 1252274 1252293 1252582 1252709) (-775 "NREP.spad" 1250646 1250660 1252264 1252269) (-774 "NPCOEF.spad" 1249892 1249912 1250636 1250641) (-773 "NORMRETR.spad" 1249490 1249529 1249882 1249887) (-772 "NORMPK.spad" 1247392 1247411 1249480 1249485) (-771 "NORMMA.spad" 1247080 1247106 1247382 1247387) (-770 "NONE.spad" 1246821 1246829 1247070 1247075) (-769 "NONE1.spad" 1246497 1246507 1246811 1246816) (-768 "NODE1.spad" 1245966 1245982 1246487 1246492) (-767 "NNI.spad" 1244853 1244861 1245940 1245961) (-766 "NLINSOL.spad" 1243475 1243485 1244843 1244848) (-765 "NIPROB.spad" 1242016 1242024 1243465 1243470) (-764 "NFINTBAS.spad" 1239476 1239493 1242006 1242011) (-763 "NETCLT.spad" 1239450 1239461 1239466 1239471) (-762 "NCODIV.spad" 1237648 1237664 1239440 1239445) (-761 "NCNTFRAC.spad" 1237290 1237304 1237638 1237643) (-760 "NCEP.spad" 1235450 1235464 1237280 1237285) (-759 "NASRING.spad" 1235046 1235054 1235440 1235445) (-758 "NASRING.spad" 1234640 1234650 1235036 1235041) (-757 "NARNG.spad" 1233984 1233992 1234630 1234635) (-756 "NARNG.spad" 1233326 1233336 1233974 1233979) (-755 "NAGSP.spad" 1232399 1232407 1233316 1233321) (-754 "NAGS.spad" 1221924 1221932 1232389 1232394) (-753 "NAGF07.spad" 1220317 1220325 1221914 1221919) (-752 "NAGF04.spad" 1214549 1214557 1220307 1220312) (-751 "NAGF02.spad" 1208358 1208366 1214539 1214544) (-750 "NAGF01.spad" 1203961 1203969 1208348 1208353) (-749 "NAGE04.spad" 1197421 1197429 1203951 1203956) (-748 "NAGE02.spad" 1187763 1187771 1197411 1197416) (-747 "NAGE01.spad" 1183647 1183655 1187753 1187758) (-746 "NAGD03.spad" 1181567 1181575 1183637 1183642) (-745 "NAGD02.spad" 1174098 1174106 1181557 1181562) (-744 "NAGD01.spad" 1168211 1168219 1174088 1174093) (-743 "NAGC06.spad" 1163998 1164006 1168201 1168206) (-742 "NAGC05.spad" 1162467 1162475 1163988 1163993) (-741 "NAGC02.spad" 1161722 1161730 1162457 1162462) (-740 "NAALG.spad" 1161257 1161267 1161690 1161717) (-739 "NAALG.spad" 1160812 1160824 1161247 1161252) (-738 "MULTSQFR.spad" 1157770 1157787 1160802 1160807) (-737 "MULTFACT.spad" 1157153 1157170 1157760 1157765) (-736 "MTSCAT.spad" 1155187 1155208 1157051 1157148) (-735 "MTHING.spad" 1154844 1154854 1155177 1155182) (-734 "MSYSCMD.spad" 1154278 1154286 1154834 1154839) (-733 "MSET.spad" 1152220 1152230 1153984 1154023) (-732 "MSETAGG.spad" 1152065 1152075 1152188 1152215) (-731 "MRING.spad" 1149036 1149048 1151773 1151840) (-730 "MRF2.spad" 1148604 1148618 1149026 1149031) (-729 "MRATFAC.spad" 1148150 1148167 1148594 1148599) (-728 "MPRFF.spad" 1146180 1146199 1148140 1148145) (-727 "MPOLY.spad" 1143615 1143630 1143974 1144101) (-726 "MPCPF.spad" 1142879 1142898 1143605 1143610) (-725 "MPC3.spad" 1142694 1142734 1142869 1142874) (-724 "MPC2.spad" 1142336 1142369 1142684 1142689) (-723 "MONOTOOL.spad" 1140671 1140688 1142326 1142331) (-722 "MONOID.spad" 1139990 1139998 1140661 1140666) (-721 "MONOID.spad" 1139307 1139317 1139980 1139985) (-720 "MONOGEN.spad" 1138053 1138066 1139167 1139302) (-719 "MONOGEN.spad" 1136821 1136836 1137937 1137942) (-718 "MONADWU.spad" 1134835 1134843 1136811 1136816) (-717 "MONADWU.spad" 1132847 1132857 1134825 1134830) (-716 "MONAD.spad" 1131991 1131999 1132837 1132842) (-715 "MONAD.spad" 1131133 1131143 1131981 1131986) (-714 "MOEBIUS.spad" 1129819 1129833 1131113 1131128) (-713 "MODULE.spad" 1129689 1129699 1129787 1129814) (-712 "MODULE.spad" 1129579 1129591 1129679 1129684) (-711 "MODRING.spad" 1128910 1128949 1129559 1129574) (-710 "MODOP.spad" 1127569 1127581 1128732 1128799) (-709 "MODMONOM.spad" 1127298 1127316 1127559 1127564) (-708 "MODMON.spad" 1124057 1124073 1124776 1124929) (-707 "MODFIELD.spad" 1123415 1123454 1123959 1124052) (-706 "MMLFORM.spad" 1122275 1122283 1123405 1123410) (-705 "MMAP.spad" 1122015 1122049 1122265 1122270) (-704 "MLO.spad" 1120442 1120452 1121971 1122010) (-703 "MLIFT.spad" 1119014 1119031 1120432 1120437) (-702 "MKUCFUNC.spad" 1118547 1118565 1119004 1119009) (-701 "MKRECORD.spad" 1118149 1118162 1118537 1118542) (-700 "MKFUNC.spad" 1117530 1117540 1118139 1118144) (-699 "MKFLCFN.spad" 1116486 1116496 1117520 1117525) (-698 "MKBCFUNC.spad" 1115971 1115989 1116476 1116481) (-697 "MINT.spad" 1115410 1115418 1115873 1115966) (-696 "MHROWRED.spad" 1113911 1113921 1115400 1115405) (-695 "MFLOAT.spad" 1112427 1112435 1113801 1113906) (-694 "MFINFACT.spad" 1111827 1111849 1112417 1112422) (-693 "MESH.spad" 1109559 1109567 1111817 1111822) (-692 "MDDFACT.spad" 1107752 1107762 1109549 1109554) (-691 "MDAGG.spad" 1107039 1107049 1107732 1107747) (-690 "MCMPLX.spad" 1103013 1103021 1103627 1103828) (-689 "MCDEN.spad" 1102221 1102233 1103003 1103008) (-688 "MCALCFN.spad" 1099323 1099349 1102211 1102216) (-687 "MAYBE.spad" 1098607 1098618 1099313 1099318) (-686 "MATSTOR.spad" 1095883 1095893 1098597 1098602) (-685 "MATRIX.spad" 1094587 1094597 1095071 1095098) (-684 "MATLIN.spad" 1091913 1091937 1094471 1094476) (-683 "MATCAT.spad" 1083498 1083520 1091881 1091908) (-682 "MATCAT.spad" 1074955 1074979 1083340 1083345) (-681 "MATCAT2.spad" 1074223 1074271 1074945 1074950) (-680 "MAPPKG3.spad" 1073122 1073136 1074213 1074218) (-679 "MAPPKG2.spad" 1072456 1072468 1073112 1073117) (-678 "MAPPKG1.spad" 1071274 1071284 1072446 1072451) (-677 "MAPPAST.spad" 1070587 1070595 1071264 1071269) (-676 "MAPHACK3.spad" 1070395 1070409 1070577 1070582) (-675 "MAPHACK2.spad" 1070160 1070172 1070385 1070390) (-674 "MAPHACK1.spad" 1069790 1069800 1070150 1070155) (-673 "MAGMA.spad" 1067580 1067597 1069780 1069785) (-672 "MACROAST.spad" 1067159 1067167 1067570 1067575) (-671 "M3D.spad" 1064855 1064865 1066537 1066542) (-670 "LZSTAGG.spad" 1062083 1062093 1064845 1064850) (-669 "LZSTAGG.spad" 1059309 1059321 1062073 1062078) (-668 "LWORD.spad" 1056014 1056031 1059299 1059304) (-667 "LSTAST.spad" 1055798 1055806 1056004 1056009) (-666 "LSQM.spad" 1054024 1054038 1054422 1054473) (-665 "LSPP.spad" 1053557 1053574 1054014 1054019) (-664 "LSMP.spad" 1052397 1052425 1053547 1053552) (-663 "LSMP1.spad" 1050201 1050215 1052387 1052392) (-662 "LSAGG.spad" 1049870 1049880 1050169 1050196) (-661 "LSAGG.spad" 1049559 1049571 1049860 1049865) (-660 "LPOLY.spad" 1048513 1048532 1049415 1049484) (-659 "LPEFRAC.spad" 1047770 1047780 1048503 1048508) (-658 "LO.spad" 1047171 1047185 1047704 1047731) (-657 "LOGIC.spad" 1046773 1046781 1047161 1047166) (-656 "LOGIC.spad" 1046373 1046383 1046763 1046768) (-655 "LODOOPS.spad" 1045291 1045303 1046363 1046368) (-654 "LODO.spad" 1044675 1044691 1044971 1045010) (-653 "LODOF.spad" 1043719 1043736 1044632 1044637) (-652 "LODOCAT.spad" 1042377 1042387 1043675 1043714) (-651 "LODOCAT.spad" 1041033 1041045 1042333 1042338) (-650 "LODO2.spad" 1040306 1040318 1040713 1040752) (-649 "LODO1.spad" 1039706 1039716 1039986 1040025) (-648 "LODEEF.spad" 1038478 1038496 1039696 1039701) (-647 "LNAGG.spad" 1034280 1034290 1038468 1038473) (-646 "LNAGG.spad" 1030046 1030058 1034236 1034241) (-645 "LMOPS.spad" 1026782 1026799 1030036 1030041) (-644 "LMODULE.spad" 1026424 1026434 1026772 1026777) (-643 "LMDICT.spad" 1025707 1025717 1025975 1026002) (-642 "LITERAL.spad" 1025613 1025624 1025697 1025702) (-641 "LIST.spad" 1023331 1023341 1024760 1024787) (-640 "LIST3.spad" 1022622 1022636 1023321 1023326) (-639 "LIST2.spad" 1021262 1021274 1022612 1022617) (-638 "LIST2MAP.spad" 1018139 1018151 1021252 1021257) (-637 "LINEXP.spad" 1017571 1017581 1018119 1018134) (-636 "LINDEP.spad" 1016348 1016360 1017483 1017488) (-635 "LIMITRF.spad" 1014262 1014272 1016338 1016343) (-634 "LIMITPS.spad" 1013145 1013158 1014252 1014257) (-633 "LIE.spad" 1011159 1011171 1012435 1012580) (-632 "LIECAT.spad" 1010635 1010645 1011085 1011154) (-631 "LIECAT.spad" 1010139 1010151 1010591 1010596) (-630 "LIB.spad" 1008187 1008195 1008798 1008813) (-629 "LGROBP.spad" 1005540 1005559 1008177 1008182) (-628 "LF.spad" 1004459 1004475 1005530 1005535) (-627 "LFCAT.spad" 1003478 1003486 1004449 1004454) (-626 "LEXTRIPK.spad" 998981 998996 1003468 1003473) (-625 "LEXP.spad" 996984 997011 998961 998976) (-624 "LETAST.spad" 996683 996691 996974 996979) (-623 "LEADCDET.spad" 995067 995084 996673 996678) (-622 "LAZM3PK.spad" 993771 993793 995057 995062) (-621 "LAUPOL.spad" 992460 992473 993364 993433) (-620 "LAPLACE.spad" 992033 992049 992450 992455) (-619 "LA.spad" 991473 991487 991955 991994) (-618 "LALG.spad" 991249 991259 991453 991468) (-617 "LALG.spad" 991033 991045 991239 991244) (-616 "KVTFROM.spad" 990768 990778 991023 991028) (-615 "KTVLOGIC.spad" 990191 990199 990758 990763) (-614 "KRCFROM.spad" 989929 989939 990181 990186) (-613 "KOVACIC.spad" 988642 988659 989919 989924) (-612 "KONVERT.spad" 988364 988374 988632 988637) (-611 "KOERCE.spad" 988101 988111 988354 988359) (-610 "KERNEL.spad" 986636 986646 987885 987890) (-609 "KERNEL2.spad" 986339 986351 986626 986631) (-608 "KDAGG.spad" 985442 985464 986319 986334) (-607 "KDAGG.spad" 984553 984577 985432 985437) (-606 "KAFILE.spad" 983516 983532 983751 983778) (-605 "JORDAN.spad" 981343 981355 982806 982951) (-604 "JOINAST.spad" 981037 981045 981333 981338) (-603 "JAVACODE.spad" 980903 980911 981027 981032) (-602 "IXAGG.spad" 979026 979050 980893 980898) (-601 "IXAGG.spad" 977004 977030 978873 978878) (-600 "IVECTOR.spad" 975775 975790 975930 975957) (-599 "ITUPLE.spad" 974920 974930 975765 975770) (-598 "ITRIGMNP.spad" 973731 973750 974910 974915) (-597 "ITFUN3.spad" 973225 973239 973721 973726) (-596 "ITFUN2.spad" 972955 972967 973215 973220) (-595 "ITAYLOR.spad" 970747 970762 972791 972916) (-594 "ISUPS.spad" 963158 963173 969721 969818) (-593 "ISUMP.spad" 962655 962671 963148 963153) (-592 "ISTRING.spad" 961658 961671 961824 961851) (-591 "ISAST.spad" 961377 961385 961648 961653) (-590 "IRURPK.spad" 960090 960109 961367 961372) (-589 "IRSN.spad" 958050 958058 960080 960085) (-588 "IRRF2F.spad" 956525 956535 958006 958011) (-587 "IRREDFFX.spad" 956126 956137 956515 956520) (-586 "IROOT.spad" 954457 954467 956116 956121) (-585 "IR.spad" 952246 952260 954312 954339) (-584 "IR2.spad" 951266 951282 952236 952241) (-583 "IR2F.spad" 950466 950482 951256 951261) (-582 "IPRNTPK.spad" 950226 950234 950456 950461) (-581 "IPF.spad" 949791 949803 950031 950124) (-580 "IPADIC.spad" 949552 949578 949717 949786) (-579 "IP4ADDR.spad" 949109 949117 949542 949547) (-578 "IOMODE.spad" 948730 948738 949099 949104) (-577 "IOBFILE.spad" 948091 948099 948720 948725) (-576 "IOBCON.spad" 947956 947964 948081 948086) (-575 "INVLAPLA.spad" 947601 947617 947946 947951) (-574 "INTTR.spad" 940847 940864 947591 947596) (-573 "INTTOOLS.spad" 938558 938574 940421 940426) (-572 "INTSLPE.spad" 937864 937872 938548 938553) (-571 "INTRVL.spad" 937430 937440 937778 937859) (-570 "INTRF.spad" 935794 935808 937420 937425) (-569 "INTRET.spad" 935226 935236 935784 935789) (-568 "INTRAT.spad" 933901 933918 935216 935221) (-567 "INTPM.spad" 932264 932280 933544 933549) (-566 "INTPAF.spad" 930032 930050 932196 932201) (-565 "INTPACK.spad" 920342 920350 930022 930027) (-564 "INT.spad" 919703 919711 920196 920337) (-563 "INTHERTR.spad" 918969 918986 919693 919698) (-562 "INTHERAL.spad" 918635 918659 918959 918964) (-561 "INTHEORY.spad" 915048 915056 918625 918630) (-560 "INTG0.spad" 908511 908529 914980 914985) (-559 "INTFTBL.spad" 902540 902548 908501 908506) (-558 "INTFACT.spad" 901599 901609 902530 902535) (-557 "INTEF.spad" 899914 899930 901589 901594) (-556 "INTDOM.spad" 898529 898537 899840 899909) (-555 "INTDOM.spad" 897206 897216 898519 898524) (-554 "INTCAT.spad" 895459 895469 897120 897201) (-553 "INTBIT.spad" 894962 894970 895449 895454) (-552 "INTALG.spad" 894144 894171 894952 894957) (-551 "INTAF.spad" 893636 893652 894134 894139) (-550 "INTABL.spad" 892154 892185 892317 892344) (-549 "INT8.spad" 892034 892042 892144 892149) (-548 "INT64.spad" 891913 891921 892024 892029) (-547 "INT32.spad" 891792 891800 891903 891908) (-546 "INT16.spad" 891671 891679 891782 891787) (-545 "INS.spad" 889138 889146 891573 891666) (-544 "INS.spad" 886691 886701 889128 889133) (-543 "INPSIGN.spad" 886125 886138 886681 886686) (-542 "INPRODPF.spad" 885191 885210 886115 886120) (-541 "INPRODFF.spad" 884249 884273 885181 885186) (-540 "INNMFACT.spad" 883220 883237 884239 884244) (-539 "INMODGCD.spad" 882704 882734 883210 883215) (-538 "INFSP.spad" 880989 881011 882694 882699) (-537 "INFPROD0.spad" 880039 880058 880979 880984) (-536 "INFORM.spad" 877200 877208 880029 880034) (-535 "INFORM1.spad" 876825 876835 877190 877195) (-534 "INFINITY.spad" 876377 876385 876815 876820) (-533 "INETCLTS.spad" 876354 876362 876367 876372) (-532 "INEP.spad" 874886 874908 876344 876349) (-531 "INDE.spad" 874615 874632 874876 874881) (-530 "INCRMAPS.spad" 874036 874046 874605 874610) (-529 "INBFILE.spad" 873108 873116 874026 874031) (-528 "INBFF.spad" 868878 868889 873098 873103) (-527 "INBCON.spad" 867166 867174 868868 868873) (-526 "INBCON.spad" 865452 865462 867156 867161) (-525 "INAST.spad" 865113 865121 865442 865447) (-524 "IMPTAST.spad" 864821 864829 865103 865108) (-523 "IMATRIX.spad" 863766 863792 864278 864305) (-522 "IMATQF.spad" 862860 862904 863722 863727) (-521 "IMATLIN.spad" 861465 861489 862816 862821) (-520 "ILIST.spad" 860121 860136 860648 860675) (-519 "IIARRAY2.spad" 859509 859547 859728 859755) (-518 "IFF.spad" 858919 858935 859190 859283) (-517 "IFAST.spad" 858533 858541 858909 858914) (-516 "IFARRAY.spad" 856020 856035 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165903) (-148 "CHVAR.spad" 163311 163333 165223 165228) (-147 "CHARZ.spad" 163226 163234 163291 163306) (-146 "CHARPOL.spad" 162734 162744 163216 163221) (-145 "CHARNZ.spad" 162487 162495 162714 162729) (-144 "CHAR.spad" 160355 160363 162477 162482) (-143 "CFCAT.spad" 159671 159679 160345 160350) (-142 "CDEN.spad" 158829 158843 159661 159666) (-141 "CCLASS.spad" 156978 156986 158240 158279) (-140 "CATEGORY.spad" 156068 156076 156968 156973) (-139 "CATCTOR.spad" 155959 155967 156058 156063) (-138 "CATAST.spad" 155577 155585 155949 155954) (-137 "CASEAST.spad" 155291 155299 155567 155572) (-136 "CARTEN.spad" 150394 150418 155281 155286) (-135 "CARTEN2.spad" 149780 149807 150384 150389) (-134 "CARD.spad" 147069 147077 149754 149775) (-133 "CAPSLAST.spad" 146843 146851 147059 147064) (-132 "CACHSET.spad" 146465 146473 146833 146838) (-131 "CABMON.spad" 146018 146026 146455 146460) (-130 "BYTEORD.spad" 145693 145701 146008 146013) (-129 "BYTE.spad" 145118 145126 145683 145688) (-128 "BYTEBUF.spad" 142975 142983 144287 144314) (-127 "BTREE.spad" 142044 142054 142582 142609) (-126 "BTOURN.spad" 141047 141057 141651 141678) (-125 "BTCAT.spad" 140435 140445 141015 141042) (-124 "BTCAT.spad" 139843 139855 140425 140430) (-123 "BTAGG.spad" 138965 138973 139811 139838) (-122 "BTAGG.spad" 138107 138117 138955 138960) (-121 "BSTREE.spad" 136842 136852 137714 137741) (-120 "BRILL.spad" 135037 135048 136832 136837) (-119 "BRAGG.spad" 133961 133971 135027 135032) (-118 "BRAGG.spad" 132849 132861 133917 133922) (-117 "BPADICRT.spad" 130830 130842 131085 131178) (-116 "BPADIC.spad" 130494 130506 130756 130825) (-115 "BOUNDZRO.spad" 130150 130167 130484 130489) (-114 "BOP.spad" 124996 125004 130140 130145) (-113 "BOP1.spad" 122382 122392 124952 124957) (-112 "BOOLEAN.spad" 121706 121714 122372 122377) (-111 "BMODULE.spad" 121418 121430 121674 121701) (-110 "BITS.spad" 120837 120845 121054 121081) (-109 "BINDING.spad" 120256 120264 120827 120832) (-108 "BINARY.spad" 118367 118375 118723 118816) (-107 "BGAGG.spad" 117564 117574 118347 118362) (-106 "BGAGG.spad" 116769 116781 117554 117559) (-105 "BFUNCT.spad" 116333 116341 116749 116764) (-104 "BEZOUT.spad" 115467 115494 116283 116288) (-103 "BBTREE.spad" 112286 112296 115074 115101) (-102 "BASTYPE.spad" 111958 111966 112276 112281) (-101 "BASTYPE.spad" 111628 111638 111948 111953) (-100 "BALFACT.spad" 111067 111080 111618 111623) (-99 "AUTOMOR.spad" 110514 110523 111047 111062) (-98 "ATTREG.spad" 107233 107240 110266 110509) (-97 "ATTRBUT.spad" 103256 103263 107213 107228) (-96 "ATTRAST.spad" 102973 102980 103246 103251) (-95 "ATRIG.spad" 102443 102450 102963 102968) (-94 "ATRIG.spad" 101911 101920 102433 102438) (-93 "ASTCAT.spad" 101815 101822 101901 101906) (-92 "ASTCAT.spad" 101717 101726 101805 101810) (-91 "ASTACK.spad" 101050 101059 101324 101351) (-90 "ASSOCEQ.spad" 99850 99861 101006 101011) (-89 "ASP9.spad" 98931 98944 99840 99845) (-88 "ASP8.spad" 97974 97987 98921 98926) (-87 "ASP80.spad" 97296 97309 97964 97969) (-86 "ASP7.spad" 96456 96469 97286 97291) (-85 "ASP78.spad" 95907 95920 96446 96451) (-84 "ASP77.spad" 95276 95289 95897 95902) (-83 "ASP74.spad" 94368 94381 95266 95271) (-82 "ASP73.spad" 93639 93652 94358 94363) (-81 "ASP6.spad" 92506 92519 93629 93634) (-80 "ASP55.spad" 91015 91028 92496 92501) (-79 "ASP50.spad" 88832 88845 91005 91010) (-78 "ASP4.spad" 88127 88140 88822 88827) (-77 "ASP49.spad" 87126 87139 88117 88122) (-76 "ASP42.spad" 85533 85572 87116 87121) (-75 "ASP41.spad" 84112 84151 85523 85528) (-74 "ASP35.spad" 83100 83113 84102 84107) (-73 "ASP34.spad" 82401 82414 83090 83095) (-72 "ASP33.spad" 81961 81974 82391 82396) (-71 "ASP31.spad" 81101 81114 81951 81956) (-70 "ASP30.spad" 79993 80006 81091 81096) (-69 "ASP29.spad" 79459 79472 79983 79988) (-68 "ASP28.spad" 70732 70745 79449 79454) (-67 "ASP27.spad" 69629 69642 70722 70727) (-66 "ASP24.spad" 68716 68729 69619 69624) (-65 "ASP20.spad" 68180 68193 68706 68711) (-64 "ASP1.spad" 67561 67574 68170 68175) (-63 "ASP19.spad" 62247 62260 67551 67556) (-62 "ASP12.spad" 61661 61674 62237 62242) (-61 "ASP10.spad" 60932 60945 61651 61656) (-60 "ARRAY2.spad" 60292 60301 60539 60566) (-59 "ARRAY1.spad" 59127 59136 59475 59502) (-58 "ARRAY12.spad" 57796 57807 59117 59122) (-57 "ARR2CAT.spad" 53458 53479 57764 57791) (-56 "ARR2CAT.spad" 49140 49163 53448 53453) (-55 "ARITY.spad" 48512 48519 49130 49135) (-54 "APPRULE.spad" 47756 47778 48502 48507) (-53 "APPLYORE.spad" 47371 47384 47746 47751) (-52 "ANY.spad" 45713 45720 47361 47366) (-51 "ANY1.spad" 44784 44793 45703 45708) (-50 "ANTISYM.spad" 43223 43239 44764 44779) (-49 "ANON.spad" 42916 42923 43213 43218) (-48 "AN.spad" 41217 41224 42732 42825) (-47 "AMR.spad" 39396 39407 41115 41212) (-46 "AMR.spad" 37412 37425 39133 39138) (-45 "ALIST.spad" 34824 34845 35174 35201) (-44 "ALGSC.spad" 33947 33973 34696 34749) (-43 "ALGPKG.spad" 29656 29667 33903 33908) (-42 "ALGMFACT.spad" 28845 28859 29646 29651) (-41 "ALGMANIP.spad" 26265 26280 28642 28647) (-40 "ALGFF.spad" 24580 24607 24797 24953) (-39 "ALGFACT.spad" 23701 23711 24570 24575) (-38 "ALGEBRA.spad" 23534 23543 23657 23696) (-37 "ALGEBRA.spad" 23399 23410 23524 23529) (-36 "ALAGG.spad" 22909 22930 23367 23394) (-35 "AHYP.spad" 22290 22297 22899 22904) (-34 "AGG.spad" 20599 20606 22280 22285) (-33 "AGG.spad" 18872 18881 20555 20560) (-32 "AF.spad" 17297 17312 18807 18812) (-31 "ADDAST.spad" 16975 16982 17287 17292) (-30 "ACPLOT.spad" 15546 15553 16965 16970) (-29 "ACFS.spad" 13297 13306 15448 15541) (-28 "ACFS.spad" 11134 11145 13287 13292) (-27 "ACF.spad" 7736 7743 11036 11129) (-26 "ACF.spad" 4424 4433 7726 7731) (-25 "ABELSG.spad" 3965 3972 4414 4419) (-24 "ABELSG.spad" 3504 3513 3955 3960) (-23 "ABELMON.spad" 3047 3054 3494 3499) (-22 "ABELMON.spad" 2588 2597 3037 3042) (-21 "ABELGRP.spad" 2160 2167 2578 2583) (-20 "ABELGRP.spad" 1730 1739 2150 2155) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865)) 
-\ No newline at end of file
+((-3 NIL 2283469 2283474 2283479 2283484) (-2 NIL 2283449 2283454 2283459 2283464) (-1 NIL 2283429 2283434 2283439 2283444) (0 NIL 2283409 2283414 2283419 2283424) (-1287 "ZMOD.spad" 2283218 2283231 2283347 2283404) (-1286 "ZLINDEP.spad" 2282262 2282273 2283208 2283213) (-1285 "ZDSOLVE.spad" 2272111 2272133 2282252 2282257) (-1284 "YSTREAM.spad" 2271604 2271615 2272101 2272106) (-1283 "XRPOLY.spad" 2270824 2270844 2271460 2271529) (-1282 "XPR.spad" 2268615 2268628 2270542 2270641) (-1281 "XPOLY.spad" 2268170 2268181 2268471 2268540) (-1280 "XPOLYC.spad" 2267487 2267503 2268096 2268165) (-1279 "XPBWPOLY.spad" 2265924 2265944 2267267 2267336) (-1278 "XF.spad" 2264385 2264400 2265826 2265919) (-1277 "XF.spad" 2262826 2262843 2264269 2264274) (-1276 "XFALG.spad" 2259850 2259866 2262752 2262821) (-1275 "XEXPPKG.spad" 2259101 2259127 2259840 2259845) (-1274 "XDPOLY.spad" 2258715 2258731 2258957 2259026) (-1273 "XALG.spad" 2258375 2258386 2258671 2258710) (-1272 "WUTSET.spad" 2254214 2254231 2258021 2258048) (-1271 "WP.spad" 2253413 2253457 2254072 2254139) (-1270 "WHILEAST.spad" 2253211 2253220 2253403 2253408) (-1269 "WHEREAST.spad" 2252882 2252891 2253201 2253206) (-1268 "WFFINTBS.spad" 2250445 2250467 2252872 2252877) (-1267 "WEIER.spad" 2248659 2248670 2250435 2250440) (-1266 "VSPACE.spad" 2248332 2248343 2248627 2248654) (-1265 "VSPACE.spad" 2248025 2248038 2248322 2248327) (-1264 "VOID.spad" 2247702 2247711 2248015 2248020) (-1263 "VIEW.spad" 2245324 2245333 2247692 2247697) (-1262 "VIEWDEF.spad" 2240521 2240530 2245314 2245319) (-1261 "VIEW3D.spad" 2224356 2224365 2240511 2240516) (-1260 "VIEW2D.spad" 2212093 2212102 2224346 2224351) (-1259 "VECTOR.spad" 2210768 2210779 2211019 2211046) (-1258 "VECTOR2.spad" 2209395 2209408 2210758 2210763) (-1257 "VECTCAT.spad" 2207295 2207306 2209363 2209390) (-1256 "VECTCAT.spad" 2205003 2205016 2207073 2207078) (-1255 "VARIABLE.spad" 2204783 2204798 2204993 2204998) (-1254 "UTYPE.spad" 2204427 2204436 2204773 2204778) (-1253 "UTSODETL.spad" 2203720 2203744 2204383 2204388) (-1252 "UTSODE.spad" 2201908 2201928 2203710 2203715) (-1251 "UTS.spad" 2196697 2196725 2200375 2200472) (-1250 "UTSCAT.spad" 2194148 2194164 2196595 2196692) (-1249 "UTSCAT.spad" 2191243 2191261 2193692 2193697) (-1248 "UTS2.spad" 2190836 2190871 2191233 2191238) (-1247 "URAGG.spad" 2185468 2185479 2190826 2190831) (-1246 "URAGG.spad" 2180064 2180077 2185424 2185429) (-1245 "UPXSSING.spad" 2177707 2177733 2179145 2179278) (-1244 "UPXS.spad" 2174855 2174883 2175839 2175988) (-1243 "UPXSCONS.spad" 2172612 2172632 2172987 2173136) (-1242 "UPXSCCA.spad" 2171177 2171197 2172458 2172607) (-1241 "UPXSCCA.spad" 2169884 2169906 2171167 2171172) (-1240 "UPXSCAT.spad" 2168465 2168481 2169730 2169879) (-1239 "UPXS2.spad" 2168006 2168059 2168455 2168460) (-1238 "UPSQFREE.spad" 2166418 2166432 2167996 2168001) (-1237 "UPSCAT.spad" 2164011 2164035 2166316 2166413) (-1236 "UPSCAT.spad" 2161310 2161336 2163617 2163622) (-1235 "UPOLYC.spad" 2156288 2156299 2161152 2161305) (-1234 "UPOLYC.spad" 2151158 2151171 2156024 2156029) (-1233 "UPOLYC2.spad" 2150627 2150646 2151148 2151153) (-1232 "UP.spad" 2147784 2147799 2148177 2148330) (-1231 "UPMP.spad" 2146674 2146687 2147774 2147779) (-1230 "UPDIVP.spad" 2146237 2146251 2146664 2146669) (-1229 "UPDECOMP.spad" 2144474 2144488 2146227 2146232) (-1228 "UPCDEN.spad" 2143681 2143697 2144464 2144469) (-1227 "UP2.spad" 2143043 2143064 2143671 2143676) (-1226 "UNISEG.spad" 2142396 2142407 2142962 2142967) (-1225 "UNISEG2.spad" 2141889 2141902 2142352 2142357) (-1224 "UNIFACT.spad" 2140990 2141002 2141879 2141884) (-1223 "ULS.spad" 2131542 2131570 2132635 2133064) (-1222 "ULSCONS.spad" 2123936 2123956 2124308 2124457) (-1221 "ULSCCAT.spad" 2121665 2121685 2123782 2123931) (-1220 "ULSCCAT.spad" 2119502 2119524 2121621 2121626) (-1219 "ULSCAT.spad" 2117718 2117734 2119348 2119497) (-1218 "ULS2.spad" 2117230 2117283 2117708 2117713) (-1217 "UINT8.spad" 2117107 2117116 2117220 2117225) (-1216 "UINT64.spad" 2116983 2116992 2117097 2117102) (-1215 "UINT32.spad" 2116859 2116868 2116973 2116978) (-1214 "UINT16.spad" 2116735 2116744 2116849 2116854) (-1213 "UFD.spad" 2115800 2115809 2116661 2116730) (-1212 "UFD.spad" 2114927 2114938 2115790 2115795) (-1211 "UDVO.spad" 2113774 2113783 2114917 2114922) (-1210 "UDPO.spad" 2111201 2111212 2113730 2113735) (-1209 "TYPE.spad" 2111133 2111142 2111191 2111196) (-1208 "TYPEAST.spad" 2111052 2111061 2111123 2111128) (-1207 "TWOFACT.spad" 2109702 2109717 2111042 2111047) (-1206 "TUPLE.spad" 2109186 2109197 2109601 2109606) (-1205 "TUBETOOL.spad" 2106023 2106032 2109176 2109181) (-1204 "TUBE.spad" 2104664 2104681 2106013 2106018) (-1203 "TS.spad" 2103253 2103269 2104229 2104326) (-1202 "TSETCAT.spad" 2090380 2090397 2103221 2103248) (-1201 "TSETCAT.spad" 2077493 2077512 2090336 2090341) (-1200 "TRMANIP.spad" 2071859 2071876 2077199 2077204) (-1199 "TRIMAT.spad" 2070818 2070843 2071849 2071854) (-1198 "TRIGMNIP.spad" 2069335 2069352 2070808 2070813) (-1197 "TRIGCAT.spad" 2068847 2068856 2069325 2069330) (-1196 "TRIGCAT.spad" 2068357 2068368 2068837 2068842) (-1195 "TREE.spad" 2066928 2066939 2067964 2067991) (-1194 "TRANFUN.spad" 2066759 2066768 2066918 2066923) (-1193 "TRANFUN.spad" 2066588 2066599 2066749 2066754) (-1192 "TOPSP.spad" 2066262 2066271 2066578 2066583) (-1191 "TOOLSIGN.spad" 2065925 2065936 2066252 2066257) (-1190 "TEXTFILE.spad" 2064482 2064491 2065915 2065920) (-1189 "TEX.spad" 2061614 2061623 2064472 2064477) (-1188 "TEX1.spad" 2061170 2061181 2061604 2061609) (-1187 "TEMUTL.spad" 2060725 2060734 2061160 2061165) (-1186 "TBCMPPK.spad" 2058818 2058841 2060715 2060720) (-1185 "TBAGG.spad" 2057854 2057877 2058798 2058813) (-1184 "TBAGG.spad" 2056898 2056923 2057844 2057849) (-1183 "TANEXP.spad" 2056274 2056285 2056888 2056893) (-1182 "TABLE.spad" 2054685 2054708 2054955 2054982) (-1181 "TABLEAU.spad" 2054166 2054177 2054675 2054680) (-1180 "TABLBUMP.spad" 2050949 2050960 2054156 2054161) (-1179 "SYSTEM.spad" 2050177 2050186 2050939 2050944) (-1178 "SYSSOLP.spad" 2047650 2047661 2050167 2050172) (-1177 "SYSNNI.spad" 2046830 2046841 2047640 2047645) (-1176 "SYSINT.spad" 2046234 2046245 2046820 2046825) (-1175 "SYNTAX.spad" 2042428 2042437 2046224 2046229) (-1174 "SYMTAB.spad" 2040484 2040493 2042418 2042423) (-1173 "SYMS.spad" 2036469 2036478 2040474 2040479) (-1172 "SYMPOLY.spad" 2035476 2035487 2035558 2035685) (-1171 "SYMFUNC.spad" 2034951 2034962 2035466 2035471) (-1170 "SYMBOL.spad" 2032378 2032387 2034941 2034946) (-1169 "SWITCH.spad" 2029135 2029144 2032368 2032373) (-1168 "SUTS.spad" 2026034 2026062 2027602 2027699) (-1167 "SUPXS.spad" 2023169 2023197 2024166 2024315) (-1166 "SUP.spad" 2019938 2019949 2020719 2020872) (-1165 "SUPFRACF.spad" 2019043 2019061 2019928 2019933) (-1164 "SUP2.spad" 2018433 2018446 2019033 2019038) (-1163 "SUMRF.spad" 2017399 2017410 2018423 2018428) (-1162 "SUMFS.spad" 2017032 2017049 2017389 2017394) (-1161 "SULS.spad" 2007571 2007599 2008677 2009106) (-1160 "SUCHTAST.spad" 2007340 2007349 2007561 2007566) (-1159 "SUCH.spad" 2007020 2007035 2007330 2007335) (-1158 "SUBSPACE.spad" 1999027 1999042 2007010 2007015) (-1157 "SUBRESP.spad" 1998187 1998201 1998983 1998988) (-1156 "STTF.spad" 1994286 1994302 1998177 1998182) (-1155 "STTFNC.spad" 1990754 1990770 1994276 1994281) (-1154 "STTAYLOR.spad" 1983152 1983163 1990635 1990640) (-1153 "STRTBL.spad" 1981657 1981674 1981806 1981833) (-1152 "STRING.spad" 1981066 1981075 1981080 1981107) (-1151 "STRICAT.spad" 1980854 1980863 1981034 1981061) (-1150 "STREAM.spad" 1977712 1977723 1980379 1980394) (-1149 "STREAM3.spad" 1977257 1977272 1977702 1977707) (-1148 "STREAM2.spad" 1976325 1976338 1977247 1977252) (-1147 "STREAM1.spad" 1976029 1976040 1976315 1976320) (-1146 "STINPROD.spad" 1974935 1974951 1976019 1976024) (-1145 "STEP.spad" 1974136 1974145 1974925 1974930) (-1144 "STBL.spad" 1972662 1972690 1972829 1972844) (-1143 "STAGG.spad" 1971737 1971748 1972652 1972657) (-1142 "STAGG.spad" 1970810 1970823 1971727 1971732) (-1141 "STACK.spad" 1970161 1970172 1970417 1970444) (-1140 "SREGSET.spad" 1967865 1967882 1969807 1969834) (-1139 "SRDCMPK.spad" 1966410 1966430 1967855 1967860) (-1138 "SRAGG.spad" 1961507 1961516 1966378 1966405) (-1137 "SRAGG.spad" 1956624 1956635 1961497 1961502) (-1136 "SQMATRIX.spad" 1954240 1954258 1955156 1955243) (-1135 "SPLTREE.spad" 1948792 1948805 1953676 1953703) (-1134 "SPLNODE.spad" 1945380 1945393 1948782 1948787) (-1133 "SPFCAT.spad" 1944157 1944166 1945370 1945375) (-1132 "SPECOUT.spad" 1942707 1942716 1944147 1944152) (-1131 "SPADXPT.spad" 1934846 1934855 1942697 1942702) (-1130 "spad-parser.spad" 1934311 1934320 1934836 1934841) (-1129 "SPADAST.spad" 1934012 1934021 1934301 1934306) (-1128 "SPACEC.spad" 1918025 1918036 1934002 1934007) (-1127 "SPACE3.spad" 1917801 1917812 1918015 1918020) (-1126 "SORTPAK.spad" 1917346 1917359 1917757 1917762) (-1125 "SOLVETRA.spad" 1915103 1915114 1917336 1917341) (-1124 "SOLVESER.spad" 1913623 1913634 1915093 1915098) (-1123 "SOLVERAD.spad" 1909633 1909644 1913613 1913618) (-1122 "SOLVEFOR.spad" 1908053 1908071 1909623 1909628) (-1121 "SNTSCAT.spad" 1907653 1907670 1908021 1908048) (-1120 "SMTS.spad" 1905913 1905939 1907218 1907315) (-1119 "SMP.spad" 1903352 1903372 1903742 1903869) (-1118 "SMITH.spad" 1902195 1902220 1903342 1903347) (-1117 "SMATCAT.spad" 1900305 1900335 1902139 1902190) (-1116 "SMATCAT.spad" 1898347 1898379 1900183 1900188) (-1115 "SKAGG.spad" 1897308 1897319 1898315 1898342) (-1114 "SINT.spad" 1896134 1896143 1897174 1897303) (-1113 "SIMPAN.spad" 1895862 1895871 1896124 1896129) (-1112 "SIG.spad" 1895190 1895199 1895852 1895857) (-1111 "SIGNRF.spad" 1894298 1894309 1895180 1895185) (-1110 "SIGNEF.spad" 1893567 1893584 1894288 1894293) (-1109 "SIGAST.spad" 1892948 1892957 1893557 1893562) (-1108 "SHP.spad" 1890866 1890881 1892904 1892909) (-1107 "SHDP.spad" 1880577 1880604 1881086 1881217) (-1106 "SGROUP.spad" 1880185 1880194 1880567 1880572) (-1105 "SGROUP.spad" 1879791 1879802 1880175 1880180) (-1104 "SGCF.spad" 1872672 1872681 1879781 1879786) (-1103 "SFRTCAT.spad" 1871600 1871617 1872640 1872667) (-1102 "SFRGCD.spad" 1870663 1870683 1871590 1871595) (-1101 "SFQCMPK.spad" 1865300 1865320 1870653 1870658) (-1100 "SFORT.spad" 1864735 1864749 1865290 1865295) (-1099 "SEXOF.spad" 1864578 1864618 1864725 1864730) (-1098 "SEX.spad" 1864470 1864479 1864568 1864573) (-1097 "SEXCAT.spad" 1862021 1862061 1864460 1864465) (-1096 "SET.spad" 1860321 1860332 1861442 1861481) (-1095 "SETMN.spad" 1858755 1858772 1860311 1860316) (-1094 "SETCAT.spad" 1858240 1858249 1858745 1858750) (-1093 "SETCAT.spad" 1857723 1857734 1858230 1858235) (-1092 "SETAGG.spad" 1854244 1854255 1857703 1857718) (-1091 "SETAGG.spad" 1850773 1850786 1854234 1854239) (-1090 "SEQAST.spad" 1850476 1850485 1850763 1850768) (-1089 "SEGXCAT.spad" 1849598 1849611 1850466 1850471) (-1088 "SEG.spad" 1849411 1849422 1849517 1849522) (-1087 "SEGCAT.spad" 1848318 1848329 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(-844 "ORDRING.spad" 1397610 1397618 1398200 1398215) (-843 "ORDRING.spad" 1397008 1397018 1397600 1397605) (-842 "ORDMON.spad" 1396863 1396871 1396998 1397003) (-841 "ORDFUNS.spad" 1395989 1396005 1396853 1396858) (-840 "ORDFIN.spad" 1395809 1395817 1395979 1395984) (-839 "ORDCOMP.spad" 1394274 1394284 1395356 1395385) (-838 "ORDCOMP2.spad" 1393559 1393571 1394264 1394269) (-837 "OPTPROB.spad" 1392197 1392205 1393549 1393554) (-836 "OPTPACK.spad" 1384582 1384590 1392187 1392192) (-835 "OPTCAT.spad" 1382257 1382265 1384572 1384577) (-834 "OPSIG.spad" 1381909 1381917 1382247 1382252) (-833 "OPQUERY.spad" 1381458 1381466 1381899 1381904) (-832 "OP.spad" 1381200 1381210 1381280 1381347) (-831 "OPERCAT.spad" 1380788 1380798 1381190 1381195) (-830 "OPERCAT.spad" 1380374 1380386 1380778 1380783) (-829 "ONECOMP.spad" 1379119 1379129 1379921 1379950) (-828 "ONECOMP2.spad" 1378537 1378549 1379109 1379114) (-827 "OMSERVER.spad" 1377539 1377547 1378527 1378532) (-826 "OMSAGG.spad" 1377327 1377337 1377495 1377534) (-825 "OMPKG.spad" 1375939 1375947 1377317 1377322) (-824 "OM.spad" 1374904 1374912 1375929 1375934) (-823 "OMLO.spad" 1374329 1374341 1374790 1374829) (-822 "OMEXPR.spad" 1374163 1374173 1374319 1374324) (-821 "OMERR.spad" 1373706 1373714 1374153 1374158) (-820 "OMERRK.spad" 1372740 1372748 1373696 1373701) (-819 "OMENC.spad" 1372084 1372092 1372730 1372735) (-818 "OMDEV.spad" 1366373 1366381 1372074 1372079) (-817 "OMCONN.spad" 1365782 1365790 1366363 1366368) (-816 "OINTDOM.spad" 1365545 1365553 1365708 1365777) (-815 "OFMONOID.spad" 1361732 1361742 1365535 1365540) (-814 "ODVAR.spad" 1360993 1361003 1361722 1361727) (-813 "ODR.spad" 1360637 1360663 1360805 1360954) (-812 "ODPOL.spad" 1357983 1357993 1358323 1358450) (-811 "ODP.spad" 1347830 1347850 1348203 1348334) (-810 "ODETOOLS.spad" 1346413 1346432 1347820 1347825) (-809 "ODESYS.spad" 1344063 1344080 1346403 1346408) (-808 "ODERTRIC.spad" 1340004 1340021 1344020 1344025) (-807 "ODERED.spad" 1339391 1339415 1339994 1339999) (-806 "ODERAT.spad" 1336942 1336959 1339381 1339386) (-805 "ODEPRRIC.spad" 1333833 1333855 1336932 1336937) (-804 "ODEPROB.spad" 1333090 1333098 1333823 1333828) (-803 "ODEPRIM.spad" 1330364 1330386 1333080 1333085) (-802 "ODEPAL.spad" 1329740 1329764 1330354 1330359) (-801 "ODEPACK.spad" 1316342 1316350 1329730 1329735) (-800 "ODEINT.spad" 1315773 1315789 1316332 1316337) (-799 "ODEIFTBL.spad" 1313168 1313176 1315763 1315768) (-798 "ODEEF.spad" 1308535 1308551 1313158 1313163) (-797 "ODECONST.spad" 1308054 1308072 1308525 1308530) (-796 "ODECAT.spad" 1306650 1306658 1308044 1308049) (-795 "OCT.spad" 1304788 1304798 1305504 1305543) (-794 "OCTCT2.spad" 1304432 1304453 1304778 1304783) (-793 "OC.spad" 1302206 1302216 1304388 1304427) (-792 "OC.spad" 1299705 1299717 1301889 1301894) (-791 "OCAMON.spad" 1299553 1299561 1299695 1299700) (-790 "OASGP.spad" 1299368 1299376 1299543 1299548) (-789 "OAMONS.spad" 1298888 1298896 1299358 1299363) (-788 "OAMON.spad" 1298749 1298757 1298878 1298883) (-787 "OAGROUP.spad" 1298611 1298619 1298739 1298744) (-786 "NUMTUBE.spad" 1298198 1298214 1298601 1298606) (-785 "NUMQUAD.spad" 1286060 1286068 1298188 1298193) (-784 "NUMODE.spad" 1277196 1277204 1286050 1286055) (-783 "NUMINT.spad" 1274754 1274762 1277186 1277191) (-782 "NUMFMT.spad" 1273594 1273602 1274744 1274749) (-781 "NUMERIC.spad" 1265666 1265676 1273399 1273404) (-780 "NTSCAT.spad" 1264168 1264184 1265634 1265661) (-779 "NTPOLFN.spad" 1263713 1263723 1264085 1264090) (-778 "NSUP.spad" 1256723 1256733 1261263 1261416) (-777 "NSUP2.spad" 1256115 1256127 1256713 1256718) (-776 "NSMP.spad" 1252310 1252329 1252618 1252745) (-775 "NREP.spad" 1250682 1250696 1252300 1252305) (-774 "NPCOEF.spad" 1249928 1249948 1250672 1250677) (-773 "NORMRETR.spad" 1249526 1249565 1249918 1249923) (-772 "NORMPK.spad" 1247428 1247447 1249516 1249521) (-771 "NORMMA.spad" 1247116 1247142 1247418 1247423) (-770 "NONE.spad" 1246857 1246865 1247106 1247111) (-769 "NONE1.spad" 1246533 1246543 1246847 1246852) (-768 "NODE1.spad" 1246002 1246018 1246523 1246528) (-767 "NNI.spad" 1244889 1244897 1245976 1245997) (-766 "NLINSOL.spad" 1243511 1243521 1244879 1244884) (-765 "NIPROB.spad" 1242052 1242060 1243501 1243506) (-764 "NFINTBAS.spad" 1239512 1239529 1242042 1242047) (-763 "NETCLT.spad" 1239486 1239497 1239502 1239507) (-762 "NCODIV.spad" 1237684 1237700 1239476 1239481) (-761 "NCNTFRAC.spad" 1237326 1237340 1237674 1237679) (-760 "NCEP.spad" 1235486 1235500 1237316 1237321) (-759 "NASRING.spad" 1235082 1235090 1235476 1235481) (-758 "NASRING.spad" 1234676 1234686 1235072 1235077) (-757 "NARNG.spad" 1234020 1234028 1234666 1234671) (-756 "NARNG.spad" 1233362 1233372 1234010 1234015) (-755 "NAGSP.spad" 1232435 1232443 1233352 1233357) (-754 "NAGS.spad" 1221960 1221968 1232425 1232430) (-753 "NAGF07.spad" 1220353 1220361 1221950 1221955) (-752 "NAGF04.spad" 1214585 1214593 1220343 1220348) (-751 "NAGF02.spad" 1208394 1208402 1214575 1214580) (-750 "NAGF01.spad" 1203997 1204005 1208384 1208389) (-749 "NAGE04.spad" 1197457 1197465 1203987 1203992) (-748 "NAGE02.spad" 1187799 1187807 1197447 1197452) (-747 "NAGE01.spad" 1183683 1183691 1187789 1187794) (-746 "NAGD03.spad" 1181603 1181611 1183673 1183678) (-745 "NAGD02.spad" 1174134 1174142 1181593 1181598) (-744 "NAGD01.spad" 1168247 1168255 1174124 1174129) (-743 "NAGC06.spad" 1164034 1164042 1168237 1168242) (-742 "NAGC05.spad" 1162503 1162511 1164024 1164029) (-741 "NAGC02.spad" 1161758 1161766 1162493 1162498) (-740 "NAALG.spad" 1161293 1161303 1161726 1161753) (-739 "NAALG.spad" 1160848 1160860 1161283 1161288) (-738 "MULTSQFR.spad" 1157806 1157823 1160838 1160843) (-737 "MULTFACT.spad" 1157189 1157206 1157796 1157801) (-736 "MTSCAT.spad" 1155223 1155244 1157087 1157184) (-735 "MTHING.spad" 1154880 1154890 1155213 1155218) (-734 "MSYSCMD.spad" 1154314 1154322 1154870 1154875) (-733 "MSET.spad" 1152256 1152266 1154020 1154059) (-732 "MSETAGG.spad" 1152101 1152111 1152224 1152251) (-731 "MRING.spad" 1149072 1149084 1151809 1151876) (-730 "MRF2.spad" 1148640 1148654 1149062 1149067) (-729 "MRATFAC.spad" 1148186 1148203 1148630 1148635) (-728 "MPRFF.spad" 1146216 1146235 1148176 1148181) (-727 "MPOLY.spad" 1143651 1143666 1144010 1144137) (-726 "MPCPF.spad" 1142915 1142934 1143641 1143646) (-725 "MPC3.spad" 1142730 1142770 1142905 1142910) (-724 "MPC2.spad" 1142372 1142405 1142720 1142725) (-723 "MONOTOOL.spad" 1140707 1140724 1142362 1142367) (-722 "MONOID.spad" 1140026 1140034 1140697 1140702) (-721 "MONOID.spad" 1139343 1139353 1140016 1140021) (-720 "MONOGEN.spad" 1138089 1138102 1139203 1139338) (-719 "MONOGEN.spad" 1136857 1136872 1137973 1137978) (-718 "MONADWU.spad" 1134871 1134879 1136847 1136852) (-717 "MONADWU.spad" 1132883 1132893 1134861 1134866) (-716 "MONAD.spad" 1132027 1132035 1132873 1132878) (-715 "MONAD.spad" 1131169 1131179 1132017 1132022) (-714 "MOEBIUS.spad" 1129855 1129869 1131149 1131164) (-713 "MODULE.spad" 1129725 1129735 1129823 1129850) (-712 "MODULE.spad" 1129615 1129627 1129715 1129720) (-711 "MODRING.spad" 1128946 1128985 1129595 1129610) (-710 "MODOP.spad" 1127605 1127617 1128768 1128835) (-709 "MODMONOM.spad" 1127334 1127352 1127595 1127600) (-708 "MODMON.spad" 1124093 1124109 1124812 1124965) (-707 "MODFIELD.spad" 1123451 1123490 1123995 1124088) (-706 "MMLFORM.spad" 1122311 1122319 1123441 1123446) (-705 "MMAP.spad" 1122051 1122085 1122301 1122306) (-704 "MLO.spad" 1120478 1120488 1122007 1122046) (-703 "MLIFT.spad" 1119050 1119067 1120468 1120473) (-702 "MKUCFUNC.spad" 1118583 1118601 1119040 1119045) (-701 "MKRECORD.spad" 1118185 1118198 1118573 1118578) (-700 "MKFUNC.spad" 1117566 1117576 1118175 1118180) (-699 "MKFLCFN.spad" 1116522 1116532 1117556 1117561) (-698 "MKBCFUNC.spad" 1116007 1116025 1116512 1116517) (-697 "MINT.spad" 1115446 1115454 1115909 1116002) (-696 "MHROWRED.spad" 1113947 1113957 1115436 1115441) (-695 "MFLOAT.spad" 1112463 1112471 1113837 1113942) (-694 "MFINFACT.spad" 1111863 1111885 1112453 1112458) (-693 "MESH.spad" 1109595 1109603 1111853 1111858) (-692 "MDDFACT.spad" 1107788 1107798 1109585 1109590) (-691 "MDAGG.spad" 1107075 1107085 1107768 1107783) (-690 "MCMPLX.spad" 1103049 1103057 1103663 1103864) (-689 "MCDEN.spad" 1102257 1102269 1103039 1103044) (-688 "MCALCFN.spad" 1099359 1099385 1102247 1102252) (-687 "MAYBE.spad" 1098643 1098654 1099349 1099354) (-686 "MATSTOR.spad" 1095919 1095929 1098633 1098638) (-685 "MATRIX.spad" 1094623 1094633 1095107 1095134) (-684 "MATLIN.spad" 1091949 1091973 1094507 1094512) (-683 "MATCAT.spad" 1083534 1083556 1091917 1091944) (-682 "MATCAT.spad" 1074991 1075015 1083376 1083381) (-681 "MATCAT2.spad" 1074259 1074307 1074981 1074986) (-680 "MAPPKG3.spad" 1073158 1073172 1074249 1074254) (-679 "MAPPKG2.spad" 1072492 1072504 1073148 1073153) (-678 "MAPPKG1.spad" 1071310 1071320 1072482 1072487) (-677 "MAPPAST.spad" 1070623 1070631 1071300 1071305) (-676 "MAPHACK3.spad" 1070431 1070445 1070613 1070618) (-675 "MAPHACK2.spad" 1070196 1070208 1070421 1070426) (-674 "MAPHACK1.spad" 1069826 1069836 1070186 1070191) (-673 "MAGMA.spad" 1067616 1067633 1069816 1069821) (-672 "MACROAST.spad" 1067195 1067203 1067606 1067611) (-671 "M3D.spad" 1064891 1064901 1066573 1066578) (-670 "LZSTAGG.spad" 1062119 1062129 1064881 1064886) (-669 "LZSTAGG.spad" 1059345 1059357 1062109 1062114) (-668 "LWORD.spad" 1056050 1056067 1059335 1059340) (-667 "LSTAST.spad" 1055834 1055842 1056040 1056045) (-666 "LSQM.spad" 1054060 1054074 1054458 1054509) (-665 "LSPP.spad" 1053593 1053610 1054050 1054055) (-664 "LSMP.spad" 1052433 1052461 1053583 1053588) (-663 "LSMP1.spad" 1050237 1050251 1052423 1052428) (-662 "LSAGG.spad" 1049906 1049916 1050205 1050232) (-661 "LSAGG.spad" 1049595 1049607 1049896 1049901) (-660 "LPOLY.spad" 1048549 1048568 1049451 1049520) (-659 "LPEFRAC.spad" 1047806 1047816 1048539 1048544) (-658 "LO.spad" 1047207 1047221 1047740 1047767) (-657 "LOGIC.spad" 1046809 1046817 1047197 1047202) (-656 "LOGIC.spad" 1046409 1046419 1046799 1046804) (-655 "LODOOPS.spad" 1045327 1045339 1046399 1046404) (-654 "LODO.spad" 1044711 1044727 1045007 1045046) (-653 "LODOF.spad" 1043755 1043772 1044668 1044673) (-652 "LODOCAT.spad" 1042413 1042423 1043711 1043750) (-651 "LODOCAT.spad" 1041069 1041081 1042369 1042374) (-650 "LODO2.spad" 1040342 1040354 1040749 1040788) (-649 "LODO1.spad" 1039742 1039752 1040022 1040061) (-648 "LODEEF.spad" 1038514 1038532 1039732 1039737) (-647 "LNAGG.spad" 1034316 1034326 1038504 1038509) (-646 "LNAGG.spad" 1030082 1030094 1034272 1034277) (-645 "LMOPS.spad" 1026818 1026835 1030072 1030077) (-644 "LMODULE.spad" 1026460 1026470 1026808 1026813) (-643 "LMDICT.spad" 1025743 1025753 1026011 1026038) (-642 "LITERAL.spad" 1025649 1025660 1025733 1025738) (-641 "LIST.spad" 1023367 1023377 1024796 1024823) (-640 "LIST3.spad" 1022658 1022672 1023357 1023362) (-639 "LIST2.spad" 1021298 1021310 1022648 1022653) (-638 "LIST2MAP.spad" 1018175 1018187 1021288 1021293) (-637 "LINEXP.spad" 1017607 1017617 1018155 1018170) (-636 "LINDEP.spad" 1016384 1016396 1017519 1017524) (-635 "LIMITRF.spad" 1014298 1014308 1016374 1016379) (-634 "LIMITPS.spad" 1013181 1013194 1014288 1014293) (-633 "LIE.spad" 1011195 1011207 1012471 1012616) (-632 "LIECAT.spad" 1010671 1010681 1011121 1011190) (-631 "LIECAT.spad" 1010175 1010187 1010627 1010632) (-630 "LIB.spad" 1008223 1008231 1008834 1008849) (-629 "LGROBP.spad" 1005576 1005595 1008213 1008218) (-628 "LF.spad" 1004495 1004511 1005566 1005571) (-627 "LFCAT.spad" 1003514 1003522 1004485 1004490) (-626 "LEXTRIPK.spad" 999017 999032 1003504 1003509) (-625 "LEXP.spad" 997020 997047 998997 999012) (-624 "LETAST.spad" 996719 996727 997010 997015) (-623 "LEADCDET.spad" 995103 995120 996709 996714) (-622 "LAZM3PK.spad" 993807 993829 995093 995098) (-621 "LAUPOL.spad" 992496 992509 993400 993469) (-620 "LAPLACE.spad" 992069 992085 992486 992491) (-619 "LA.spad" 991509 991523 991991 992030) (-618 "LALG.spad" 991285 991295 991489 991504) (-617 "LALG.spad" 991069 991081 991275 991280) (-616 "KVTFROM.spad" 990804 990814 991059 991064) (-615 "KTVLOGIC.spad" 990227 990235 990794 990799) (-614 "KRCFROM.spad" 989965 989975 990217 990222) (-613 "KOVACIC.spad" 988678 988695 989955 989960) (-612 "KONVERT.spad" 988400 988410 988668 988673) (-611 "KOERCE.spad" 988137 988147 988390 988395) (-610 "KERNEL.spad" 986672 986682 987921 987926) (-609 "KERNEL2.spad" 986375 986387 986662 986667) (-608 "KDAGG.spad" 985478 985500 986355 986370) (-607 "KDAGG.spad" 984589 984613 985468 985473) (-606 "KAFILE.spad" 983552 983568 983787 983814) (-605 "JORDAN.spad" 981379 981391 982842 982987) (-604 "JOINAST.spad" 981073 981081 981369 981374) (-603 "JAVACODE.spad" 980939 980947 981063 981068) (-602 "IXAGG.spad" 979062 979086 980929 980934) (-601 "IXAGG.spad" 977040 977066 978909 978914) (-600 "IVECTOR.spad" 975811 975826 975966 975993) (-599 "ITUPLE.spad" 974956 974966 975801 975806) (-598 "ITRIGMNP.spad" 973767 973786 974946 974951) (-597 "ITFUN3.spad" 973261 973275 973757 973762) (-596 "ITFUN2.spad" 972991 973003 973251 973256) (-595 "ITAYLOR.spad" 970783 970798 972827 972952) (-594 "ISUPS.spad" 963194 963209 969757 969854) (-593 "ISUMP.spad" 962691 962707 963184 963189) (-592 "ISTRING.spad" 961694 961707 961860 961887) (-591 "ISAST.spad" 961413 961421 961684 961689) (-590 "IRURPK.spad" 960126 960145 961403 961408) (-589 "IRSN.spad" 958086 958094 960116 960121) (-588 "IRRF2F.spad" 956561 956571 958042 958047) (-587 "IRREDFFX.spad" 956162 956173 956551 956556) (-586 "IROOT.spad" 954493 954503 956152 956157) (-585 "IR.spad" 952282 952296 954348 954375) (-584 "IR2.spad" 951302 951318 952272 952277) (-583 "IR2F.spad" 950502 950518 951292 951297) (-582 "IPRNTPK.spad" 950262 950270 950492 950497) (-581 "IPF.spad" 949827 949839 950067 950160) (-580 "IPADIC.spad" 949588 949614 949753 949822) (-579 "IP4ADDR.spad" 949145 949153 949578 949583) (-578 "IOMODE.spad" 948766 948774 949135 949140) (-577 "IOBFILE.spad" 948127 948135 948756 948761) (-576 "IOBCON.spad" 947992 948000 948117 948122) (-575 "INVLAPLA.spad" 947637 947653 947982 947987) (-574 "INTTR.spad" 940883 940900 947627 947632) (-573 "INTTOOLS.spad" 938594 938610 940457 940462) (-572 "INTSLPE.spad" 937900 937908 938584 938589) (-571 "INTRVL.spad" 937466 937476 937814 937895) (-570 "INTRF.spad" 935830 935844 937456 937461) (-569 "INTRET.spad" 935262 935272 935820 935825) (-568 "INTRAT.spad" 933937 933954 935252 935257) (-567 "INTPM.spad" 932300 932316 933580 933585) (-566 "INTPAF.spad" 930068 930086 932232 932237) (-565 "INTPACK.spad" 920378 920386 930058 930063) (-564 "INT.spad" 919739 919747 920232 920373) (-563 "INTHERTR.spad" 919005 919022 919729 919734) (-562 "INTHERAL.spad" 918671 918695 918995 919000) (-561 "INTHEORY.spad" 915084 915092 918661 918666) (-560 "INTG0.spad" 908547 908565 915016 915021) (-559 "INTFTBL.spad" 902576 902584 908537 908542) (-558 "INTFACT.spad" 901635 901645 902566 902571) (-557 "INTEF.spad" 899950 899966 901625 901630) (-556 "INTDOM.spad" 898565 898573 899876 899945) (-555 "INTDOM.spad" 897242 897252 898555 898560) (-554 "INTCAT.spad" 895495 895505 897156 897237) (-553 "INTBIT.spad" 894998 895006 895485 895490) (-552 "INTALG.spad" 894180 894207 894988 894993) (-551 "INTAF.spad" 893672 893688 894170 894175) (-550 "INTABL.spad" 892190 892221 892353 892380) (-549 "INT8.spad" 892070 892078 892180 892185) (-548 "INT64.spad" 891949 891957 892060 892065) (-547 "INT32.spad" 891828 891836 891939 891944) (-546 "INT16.spad" 891707 891715 891818 891823) (-545 "INS.spad" 889174 889182 891609 891702) (-544 "INS.spad" 886727 886737 889164 889169) (-543 "INPSIGN.spad" 886161 886174 886717 886722) (-542 "INPRODPF.spad" 885227 885246 886151 886156) (-541 "INPRODFF.spad" 884285 884309 885217 885222) (-540 "INNMFACT.spad" 883256 883273 884275 884280) (-539 "INMODGCD.spad" 882740 882770 883246 883251) (-538 "INFSP.spad" 881025 881047 882730 882735) (-537 "INFPROD0.spad" 880075 880094 881015 881020) (-536 "INFORM.spad" 877236 877244 880065 880070) (-535 "INFORM1.spad" 876861 876871 877226 877231) (-534 "INFINITY.spad" 876413 876421 876851 876856) (-533 "INETCLTS.spad" 876390 876398 876403 876408) (-532 "INEP.spad" 874922 874944 876380 876385) (-531 "INDE.spad" 874651 874668 874912 874917) (-530 "INCRMAPS.spad" 874072 874082 874641 874646) (-529 "INBFILE.spad" 873144 873152 874062 874067) (-528 "INBFF.spad" 868914 868925 873134 873139) (-527 "INBCON.spad" 867202 867210 868904 868909) (-526 "INBCON.spad" 865488 865498 867192 867197) (-525 "INAST.spad" 865149 865157 865478 865483) (-524 "IMPTAST.spad" 864857 864865 865139 865144) (-523 "IMATRIX.spad" 863802 863828 864314 864341) (-522 "IMATQF.spad" 862896 862940 863758 863763) (-521 "IMATLIN.spad" 861501 861525 862852 862857) (-520 "ILIST.spad" 860157 860172 860684 860711) (-519 "IIARRAY2.spad" 859545 859583 859764 859791) (-518 "IFF.spad" 858955 858971 859226 859319) (-517 "IFAST.spad" 858569 858577 858945 858950) (-516 "IFARRAY.spad" 856056 856071 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165911) (-148 "CHVAR.spad" 163319 163341 165231 165236) (-147 "CHARZ.spad" 163234 163242 163299 163314) (-146 "CHARPOL.spad" 162742 162752 163224 163229) (-145 "CHARNZ.spad" 162495 162503 162722 162737) (-144 "CHAR.spad" 160363 160371 162485 162490) (-143 "CFCAT.spad" 159679 159687 160353 160358) (-142 "CDEN.spad" 158837 158851 159669 159674) (-141 "CCLASS.spad" 156986 156994 158248 158287) (-140 "CATEGORY.spad" 156076 156084 156976 156981) (-139 "CATCTOR.spad" 155967 155975 156066 156071) (-138 "CATAST.spad" 155585 155593 155957 155962) (-137 "CASEAST.spad" 155299 155307 155575 155580) (-136 "CARTEN.spad" 150402 150426 155289 155294) (-135 "CARTEN2.spad" 149788 149815 150392 150397) (-134 "CARD.spad" 147077 147085 149762 149783) (-133 "CAPSLAST.spad" 146851 146859 147067 147072) (-132 "CACHSET.spad" 146473 146481 146841 146846) (-131 "CABMON.spad" 146026 146034 146463 146468) (-130 "BYTEORD.spad" 145701 145709 146016 146021) (-129 "BYTE.spad" 145126 145134 145691 145696) (-128 "BYTEBUF.spad" 142983 142991 144295 144322) (-127 "BTREE.spad" 142052 142062 142590 142617) (-126 "BTOURN.spad" 141055 141065 141659 141686) (-125 "BTCAT.spad" 140443 140453 141023 141050) (-124 "BTCAT.spad" 139851 139863 140433 140438) (-123 "BTAGG.spad" 138973 138981 139819 139846) (-122 "BTAGG.spad" 138115 138125 138963 138968) (-121 "BSTREE.spad" 136850 136860 137722 137749) (-120 "BRILL.spad" 135045 135056 136840 136845) (-119 "BRAGG.spad" 133969 133979 135035 135040) (-118 "BRAGG.spad" 132857 132869 133925 133930) (-117 "BPADICRT.spad" 130838 130850 131093 131186) (-116 "BPADIC.spad" 130502 130514 130764 130833) (-115 "BOUNDZRO.spad" 130158 130175 130492 130497) (-114 "BOP.spad" 125004 125012 130148 130153) (-113 "BOP1.spad" 122390 122400 124960 124965) (-112 "BOOLEAN.spad" 121714 121722 122380 122385) (-111 "BMODULE.spad" 121426 121438 121682 121709) (-110 "BITS.spad" 120845 120853 121062 121089) (-109 "BINDING.spad" 120256 120264 120835 120840) (-108 "BINARY.spad" 118367 118375 118723 118816) (-107 "BGAGG.spad" 117564 117574 118347 118362) (-106 "BGAGG.spad" 116769 116781 117554 117559) (-105 "BFUNCT.spad" 116333 116341 116749 116764) (-104 "BEZOUT.spad" 115467 115494 116283 116288) (-103 "BBTREE.spad" 112286 112296 115074 115101) (-102 "BASTYPE.spad" 111958 111966 112276 112281) (-101 "BASTYPE.spad" 111628 111638 111948 111953) (-100 "BALFACT.spad" 111067 111080 111618 111623) (-99 "AUTOMOR.spad" 110514 110523 111047 111062) (-98 "ATTREG.spad" 107233 107240 110266 110509) (-97 "ATTRBUT.spad" 103256 103263 107213 107228) (-96 "ATTRAST.spad" 102973 102980 103246 103251) (-95 "ATRIG.spad" 102443 102450 102963 102968) (-94 "ATRIG.spad" 101911 101920 102433 102438) (-93 "ASTCAT.spad" 101815 101822 101901 101906) (-92 "ASTCAT.spad" 101717 101726 101805 101810) (-91 "ASTACK.spad" 101050 101059 101324 101351) (-90 "ASSOCEQ.spad" 99850 99861 101006 101011) (-89 "ASP9.spad" 98931 98944 99840 99845) (-88 "ASP8.spad" 97974 97987 98921 98926) (-87 "ASP80.spad" 97296 97309 97964 97969) (-86 "ASP7.spad" 96456 96469 97286 97291) (-85 "ASP78.spad" 95907 95920 96446 96451) (-84 "ASP77.spad" 95276 95289 95897 95902) (-83 "ASP74.spad" 94368 94381 95266 95271) (-82 "ASP73.spad" 93639 93652 94358 94363) (-81 "ASP6.spad" 92506 92519 93629 93634) (-80 "ASP55.spad" 91015 91028 92496 92501) (-79 "ASP50.spad" 88832 88845 91005 91010) (-78 "ASP4.spad" 88127 88140 88822 88827) (-77 "ASP49.spad" 87126 87139 88117 88122) (-76 "ASP42.spad" 85533 85572 87116 87121) (-75 "ASP41.spad" 84112 84151 85523 85528) (-74 "ASP35.spad" 83100 83113 84102 84107) (-73 "ASP34.spad" 82401 82414 83090 83095) (-72 "ASP33.spad" 81961 81974 82391 82396) (-71 "ASP31.spad" 81101 81114 81951 81956) (-70 "ASP30.spad" 79993 80006 81091 81096) (-69 "ASP29.spad" 79459 79472 79983 79988) (-68 "ASP28.spad" 70732 70745 79449 79454) (-67 "ASP27.spad" 69629 69642 70722 70727) (-66 "ASP24.spad" 68716 68729 69619 69624) (-65 "ASP20.spad" 68180 68193 68706 68711) (-64 "ASP1.spad" 67561 67574 68170 68175) (-63 "ASP19.spad" 62247 62260 67551 67556) (-62 "ASP12.spad" 61661 61674 62237 62242) (-61 "ASP10.spad" 60932 60945 61651 61656) (-60 "ARRAY2.spad" 60292 60301 60539 60566) (-59 "ARRAY1.spad" 59127 59136 59475 59502) (-58 "ARRAY12.spad" 57796 57807 59117 59122) (-57 "ARR2CAT.spad" 53458 53479 57764 57791) (-56 "ARR2CAT.spad" 49140 49163 53448 53453) (-55 "ARITY.spad" 48512 48519 49130 49135) (-54 "APPRULE.spad" 47756 47778 48502 48507) (-53 "APPLYORE.spad" 47371 47384 47746 47751) (-52 "ANY.spad" 45713 45720 47361 47366) (-51 "ANY1.spad" 44784 44793 45703 45708) (-50 "ANTISYM.spad" 43223 43239 44764 44779) (-49 "ANON.spad" 42916 42923 43213 43218) (-48 "AN.spad" 41217 41224 42732 42825) (-47 "AMR.spad" 39396 39407 41115 41212) (-46 "AMR.spad" 37412 37425 39133 39138) (-45 "ALIST.spad" 34824 34845 35174 35201) (-44 "ALGSC.spad" 33947 33973 34696 34749) (-43 "ALGPKG.spad" 29656 29667 33903 33908) (-42 "ALGMFACT.spad" 28845 28859 29646 29651) (-41 "ALGMANIP.spad" 26265 26280 28642 28647) (-40 "ALGFF.spad" 24580 24607 24797 24953) (-39 "ALGFACT.spad" 23701 23711 24570 24575) (-38 "ALGEBRA.spad" 23534 23543 23657 23696) (-37 "ALGEBRA.spad" 23399 23410 23524 23529) (-36 "ALAGG.spad" 22909 22930 23367 23394) (-35 "AHYP.spad" 22290 22297 22899 22904) (-34 "AGG.spad" 20599 20606 22280 22285) (-33 "AGG.spad" 18872 18881 20555 20560) (-32 "AF.spad" 17297 17312 18807 18812) (-31 "ADDAST.spad" 16975 16982 17287 17292) (-30 "ACPLOT.spad" 15546 15553 16965 16970) (-29 "ACFS.spad" 13297 13306 15448 15541) (-28 "ACFS.spad" 11134 11145 13287 13292) (-27 "ACF.spad" 7736 7743 11036 11129) (-26 "ACF.spad" 4424 4433 7726 7731) (-25 "ABELSG.spad" 3965 3972 4414 4419) (-24 "ABELSG.spad" 3504 3513 3955 3960) (-23 "ABELMON.spad" 3047 3054 3494 3499) (-22 "ABELMON.spad" 2588 2597 3037 3042) (-21 "ABELGRP.spad" 2160 2167 2578 2583) (-20 "ABELGRP.spad" 1730 1739 2150 2155) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865)) 
+\ No newline at end of file
author	dos-reis <gdr@axiomatics.org>	2009-05-16 01:55:18 +0000
committer	dos-reis <gdr@axiomatics.org>	2009-05-16 01:55:18 +0000
commit	1f494025090f73be6f638bea1827e352df9921db (patch)
tree	4a990f63b7b33779e3bd0c8d501a67d12175f516 /src/share/algebra/browse.daase
parent	ee573325df58dbcc33596630d2710ad2cd37a77d (diff)
download	open-axiom-1f494025090f73be6f638bea1827e352df9921db.tar.gz