diff options
Diffstat (limited to 'src/share/algebra/browse.daase')
| -rw-r--r-- | src/share/algebra/browse.daase | 64 |
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 ((-4403 -12 (|has| |#2| (-473)) (|has| |#1| (-473)))) ((-2797 (-12 (|HasCategory| |#1| (QUOTE (-789))) (|HasCategory| |#2| (QUOTE (-789)))) (-12 (|HasCategory| |#1| (QUOTE (-846))) (|HasCategory| |#2| (QUOTE (-846))))) (-12 (|HasCategory| |#1| (QUOTE (-789))) (|HasCategory| |#2| (QUOTE (-789)))) (-2797 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-131))) (|HasCategory| |#2| (QUOTE (-131)))) (-12 (|HasCategory| |#1| (QUOTE (-789))) (|HasCategory| |#2| (QUOTE (-789))))) (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-2797 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-131))) (|HasCategory| |#2| (QUOTE (-131)))) (-12 (|HasCategory| |#1| (QUOTE (-789))) (|HasCategory| |#2| (QUOTE (-789))))) (-12 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#2| (QUOTE (-473)))) (-2797 (-12 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#2| (QUOTE (-473)))) (-12 (|HasCategory| |#1| (QUOTE (-722))) (|HasCategory| |#2| (QUOTE (-722))))) (-12 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#2| (QUOTE (-368)))) (-2797 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-131))) (|HasCategory| |#2| (QUOTE (-131)))) (-12 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#2| (QUOTE (-473)))) (-12 (|HasCategory| |#1| (QUOTE (-722))) (|HasCategory| |#2| (QUOTE (-722)))) (-12 (|HasCategory| |#1| (QUOTE (-789))) (|HasCategory| |#2| (QUOTE (-789))))) (-12 (|HasCategory| |#1| (QUOTE (-722))) (|HasCategory| |#2| (QUOTE (-722)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-131))) (|HasCategory| |#2| (QUOTE (-131)))) (-12 (|HasCategory| |#1| (QUOTE (-846))) (|HasCategory| |#2| (QUOTE (-846))))) (-961) -((|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| (($ (|Symbol|) (|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| (((|Symbol|) $) "\\spad{name(p)} returns the name of property \\spad{p}"))) +((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 18,{} 2008. An `Property' is a pair of name and value.")) (|property| (($ (|Identifier|) (|SExpression|)) "\\spad{property(n,{}val)} constructs a property with name \\spad{`n'} and value `val'.")) (|value| (((|SExpression|) $) "\\spad{value(p)} returns value of property \\spad{p}")) (|name| (((|Identifier|) $) "\\spad{name(p)} returns the name of property \\spad{p}"))) NIL NIL (-962 T$) @@ -4245,7 +4245,7 @@ NIL NIL NIL (-1079) -((|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."))) +((|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|)) (|Identifier|) $) "\\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."))) NIL NIL (-1080 R) @@ -4575,7 +4575,7 @@ NIL (-1161 |Coef| |var| |cen|) ((|constructor| (NIL "Sparse Laurent series in one variable \\indented{2}{\\spadtype{SparseUnivariateLaurentSeries} is a domain representing Laurent} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariateLaurentSeries(Integer,{}x,{}3)} represents Laurent} \\indented{2}{series in \\spad{(x - 3)} with integer coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Laurent series."))) (((-4408 "*") -2797 (-2366 (|has| |#1| (-363)) (|has| (-1168 |#1| |#2| |#3|) (-816))) (|has| |#1| (-172)) (-2366 (|has| |#1| (-363)) (|has| (-1168 |#1| |#2| |#3|) (-905)))) (-4399 -2797 (-2366 (|has| |#1| (-363)) (|has| (-1168 |#1| |#2| |#3|) (-816))) (|has| |#1| (-556)) (-2366 (|has| |#1| (-363)) (|has| (-1168 |#1| |#2| |#3|) (-905)))) (-4404 |has| |#1| (-363)) (-4398 |has| |#1| (-363)) (-4400 . T) (-4401 . T) (-4403 . 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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 . 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(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}.")) 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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 -((|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 -2344) (LIST (|devaluate| |#2|) (QUOTE (-1170)))))) +((|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}.")) 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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 -((-3 NIL 2283421 2283426 2283431 2283436) (-2 NIL 2283401 2283406 2283411 2283416) (-1 NIL 2283381 2283386 2283391 2283396) (0 NIL 2283361 2283366 2283371 2283376) (-1287 "ZMOD.spad" 2283170 2283183 2283299 2283356) (-1286 "ZLINDEP.spad" 2282214 2282225 2283160 2283165) (-1285 "ZDSOLVE.spad" 2272063 2272085 2282204 2282209) (-1284 "YSTREAM.spad" 2271556 2271567 2272053 2272058) (-1283 "XRPOLY.spad" 2270776 2270796 2271412 2271481) (-1282 "XPR.spad" 2268567 2268580 2270494 2270593) (-1281 "XPOLY.spad" 2268122 2268133 2268423 2268492) (-1280 "XPOLYC.spad" 2267439 2267455 2268048 2268117) (-1279 "XPBWPOLY.spad" 2265876 2265896 2267219 2267288) (-1278 "XF.spad" 2264337 2264352 2265778 2265871) (-1277 "XF.spad" 2262778 2262795 2264221 2264226) (-1276 "XFALG.spad" 2259802 2259818 2262704 2262773) (-1275 "XEXPPKG.spad" 2259053 2259079 2259792 2259797) (-1274 "XDPOLY.spad" 2258667 2258683 2258909 2258978) (-1273 "XALG.spad" 2258327 2258338 2258623 2258662) (-1272 "WUTSET.spad" 2254166 2254183 2257973 2258000) (-1271 "WP.spad" 2253365 2253409 2254024 2254091) (-1270 "WHILEAST.spad" 2253163 2253172 2253355 2253360) (-1269 "WHEREAST.spad" 2252834 2252843 2253153 2253158) (-1268 "WFFINTBS.spad" 2250397 2250419 2252824 2252829) (-1267 "WEIER.spad" 2248611 2248622 2250387 2250392) (-1266 "VSPACE.spad" 2248284 2248295 2248579 2248606) (-1265 "VSPACE.spad" 2247977 2247990 2248274 2248279) (-1264 "VOID.spad" 2247654 2247663 2247967 2247972) (-1263 "VIEW.spad" 2245276 2245285 2247644 2247649) (-1262 "VIEWDEF.spad" 2240473 2240482 2245266 2245271) (-1261 "VIEW3D.spad" 2224308 2224317 2240463 2240468) (-1260 "VIEW2D.spad" 2212045 2212054 2224298 2224303) (-1259 "VECTOR.spad" 2210720 2210731 2210971 2210998) (-1258 "VECTOR2.spad" 2209347 2209360 2210710 2210715) (-1257 "VECTCAT.spad" 2207247 2207258 2209315 2209342) (-1256 "VECTCAT.spad" 2204955 2204968 2207025 2207030) (-1255 "VARIABLE.spad" 2204735 2204750 2204945 2204950) (-1254 "UTYPE.spad" 2204379 2204388 2204725 2204730) (-1253 "UTSODETL.spad" 2203672 2203696 2204335 2204340) (-1252 "UTSODE.spad" 2201860 2201880 2203662 2203667) (-1251 "UTS.spad" 2196649 2196677 2200327 2200424) (-1250 "UTSCAT.spad" 2194100 2194116 2196547 2196644) (-1249 "UTSCAT.spad" 2191195 2191213 2193644 2193649) (-1248 "UTS2.spad" 2190788 2190823 2191185 2191190) (-1247 "URAGG.spad" 2185420 2185431 2190778 2190783) (-1246 "URAGG.spad" 2180016 2180029 2185376 2185381) (-1245 "UPXSSING.spad" 2177659 2177685 2179097 2179230) (-1244 "UPXS.spad" 2174807 2174835 2175791 2175940) (-1243 "UPXSCONS.spad" 2172564 2172584 2172939 2173088) (-1242 "UPXSCCA.spad" 2171129 2171149 2172410 2172559) (-1241 "UPXSCCA.spad" 2169836 2169858 2171119 2171124) (-1240 "UPXSCAT.spad" 2168417 2168433 2169682 2169831) (-1239 "UPXS2.spad" 2167958 2168011 2168407 2168412) (-1238 "UPSQFREE.spad" 2166370 2166384 2167948 2167953) (-1237 "UPSCAT.spad" 2163963 2163987 2166268 2166365) (-1236 "UPSCAT.spad" 2161262 2161288 2163569 2163574) (-1235 "UPOLYC.spad" 2156240 2156251 2161104 2161257) (-1234 "UPOLYC.spad" 2151110 2151123 2155976 2155981) (-1233 "UPOLYC2.spad" 2150579 2150598 2151100 2151105) (-1232 "UP.spad" 2147736 2147751 2148129 2148282) (-1231 "UPMP.spad" 2146626 2146639 2147726 2147731) (-1230 "UPDIVP.spad" 2146189 2146203 2146616 2146621) (-1229 "UPDECOMP.spad" 2144426 2144440 2146179 2146184) (-1228 "UPCDEN.spad" 2143633 2143649 2144416 2144421) (-1227 "UP2.spad" 2142995 2143016 2143623 2143628) (-1226 "UNISEG.spad" 2142348 2142359 2142914 2142919) (-1225 "UNISEG2.spad" 2141841 2141854 2142304 2142309) (-1224 "UNIFACT.spad" 2140942 2140954 2141831 2141836) (-1223 "ULS.spad" 2131494 2131522 2132587 2133016) (-1222 "ULSCONS.spad" 2123888 2123908 2124260 2124409) (-1221 "ULSCCAT.spad" 2121617 2121637 2123734 2123883) (-1220 "ULSCCAT.spad" 2119454 2119476 2121573 2121578) (-1219 "ULSCAT.spad" 2117670 2117686 2119300 2119449) (-1218 "ULS2.spad" 2117182 2117235 2117660 2117665) (-1217 "UINT8.spad" 2117059 2117068 2117172 2117177) (-1216 "UINT64.spad" 2116935 2116944 2117049 2117054) (-1215 "UINT32.spad" 2116811 2116820 2116925 2116930) (-1214 "UINT16.spad" 2116687 2116696 2116801 2116806) (-1213 "UFD.spad" 2115752 2115761 2116613 2116682) (-1212 "UFD.spad" 2114879 2114890 2115742 2115747) (-1211 "UDVO.spad" 2113726 2113735 2114869 2114874) (-1210 "UDPO.spad" 2111153 2111164 2113682 2113687) (-1209 "TYPE.spad" 2111085 2111094 2111143 2111148) (-1208 "TYPEAST.spad" 2111004 2111013 2111075 2111080) (-1207 "TWOFACT.spad" 2109654 2109669 2110994 2110999) (-1206 "TUPLE.spad" 2109138 2109149 2109553 2109558) (-1205 "TUBETOOL.spad" 2105975 2105984 2109128 2109133) (-1204 "TUBE.spad" 2104616 2104633 2105965 2105970) (-1203 "TS.spad" 2103205 2103221 2104181 2104278) (-1202 "TSETCAT.spad" 2090332 2090349 2103173 2103200) (-1201 "TSETCAT.spad" 2077445 2077464 2090288 2090293) (-1200 "TRMANIP.spad" 2071811 2071828 2077151 2077156) (-1199 "TRIMAT.spad" 2070770 2070795 2071801 2071806) (-1198 "TRIGMNIP.spad" 2069287 2069304 2070760 2070765) (-1197 "TRIGCAT.spad" 2068799 2068808 2069277 2069282) (-1196 "TRIGCAT.spad" 2068309 2068320 2068789 2068794) (-1195 "TREE.spad" 2066880 2066891 2067916 2067943) (-1194 "TRANFUN.spad" 2066711 2066720 2066870 2066875) (-1193 "TRANFUN.spad" 2066540 2066551 2066701 2066706) (-1192 "TOPSP.spad" 2066214 2066223 2066530 2066535) (-1191 "TOOLSIGN.spad" 2065877 2065888 2066204 2066209) (-1190 "TEXTFILE.spad" 2064434 2064443 2065867 2065872) (-1189 "TEX.spad" 2061566 2061575 2064424 2064429) (-1188 "TEX1.spad" 2061122 2061133 2061556 2061561) (-1187 "TEMUTL.spad" 2060677 2060686 2061112 2061117) (-1186 "TBCMPPK.spad" 2058770 2058793 2060667 2060672) (-1185 "TBAGG.spad" 2057806 2057829 2058750 2058765) (-1184 "TBAGG.spad" 2056850 2056875 2057796 2057801) (-1183 "TANEXP.spad" 2056226 2056237 2056840 2056845) (-1182 "TABLE.spad" 2054637 2054660 2054907 2054934) (-1181 "TABLEAU.spad" 2054118 2054129 2054627 2054632) (-1180 "TABLBUMP.spad" 2050901 2050912 2054108 2054113) (-1179 "SYSTEM.spad" 2050129 2050138 2050891 2050896) (-1178 "SYSSOLP.spad" 2047602 2047613 2050119 2050124) (-1177 "SYSNNI.spad" 2046782 2046793 2047592 2047597) (-1176 "SYSINT.spad" 2046186 2046197 2046772 2046777) (-1175 "SYNTAX.spad" 2042380 2042389 2046176 2046181) (-1174 "SYMTAB.spad" 2040436 2040445 2042370 2042375) (-1173 "SYMS.spad" 2036421 2036430 2040426 2040431) (-1172 "SYMPOLY.spad" 2035428 2035439 2035510 2035637) (-1171 "SYMFUNC.spad" 2034903 2034914 2035418 2035423) (-1170 "SYMBOL.spad" 2032330 2032339 2034893 2034898) (-1169 "SWITCH.spad" 2029087 2029096 2032320 2032325) (-1168 "SUTS.spad" 2025986 2026014 2027554 2027651) (-1167 "SUPXS.spad" 2023121 2023149 2024118 2024267) (-1166 "SUP.spad" 2019890 2019901 2020671 2020824) (-1165 "SUPFRACF.spad" 2018995 2019013 2019880 2019885) (-1164 "SUP2.spad" 2018385 2018398 2018985 2018990) (-1163 "SUMRF.spad" 2017351 2017362 2018375 2018380) (-1162 "SUMFS.spad" 2016984 2017001 2017341 2017346) (-1161 "SULS.spad" 2007523 2007551 2008629 2009058) (-1160 "SUCHTAST.spad" 2007292 2007301 2007513 2007518) (-1159 "SUCH.spad" 2006972 2006987 2007282 2007287) (-1158 "SUBSPACE.spad" 1998979 1998994 2006962 2006967) (-1157 "SUBRESP.spad" 1998139 1998153 1998935 1998940) (-1156 "STTF.spad" 1994238 1994254 1998129 1998134) (-1155 "STTFNC.spad" 1990706 1990722 1994228 1994233) (-1154 "STTAYLOR.spad" 1983104 1983115 1990587 1990592) (-1153 "STRTBL.spad" 1981609 1981626 1981758 1981785) (-1152 "STRING.spad" 1981018 1981027 1981032 1981059) (-1151 "STRICAT.spad" 1980806 1980815 1980986 1981013) (-1150 "STREAM.spad" 1977664 1977675 1980331 1980346) (-1149 "STREAM3.spad" 1977209 1977224 1977654 1977659) (-1148 "STREAM2.spad" 1976277 1976290 1977199 1977204) (-1147 "STREAM1.spad" 1975981 1975992 1976267 1976272) (-1146 "STINPROD.spad" 1974887 1974903 1975971 1975976) (-1145 "STEP.spad" 1974088 1974097 1974877 1974882) (-1144 "STBL.spad" 1972614 1972642 1972781 1972796) (-1143 "STAGG.spad" 1971689 1971700 1972604 1972609) (-1142 "STAGG.spad" 1970762 1970775 1971679 1971684) (-1141 "STACK.spad" 1970113 1970124 1970369 1970396) (-1140 "SREGSET.spad" 1967817 1967834 1969759 1969786) (-1139 "SRDCMPK.spad" 1966362 1966382 1967807 1967812) (-1138 "SRAGG.spad" 1961459 1961468 1966330 1966357) (-1137 "SRAGG.spad" 1956576 1956587 1961449 1961454) (-1136 "SQMATRIX.spad" 1954192 1954210 1955108 1955195) (-1135 "SPLTREE.spad" 1948744 1948757 1953628 1953655) (-1134 "SPLNODE.spad" 1945332 1945345 1948734 1948739) (-1133 "SPFCAT.spad" 1944109 1944118 1945322 1945327) (-1132 "SPECOUT.spad" 1942659 1942668 1944099 1944104) (-1131 "SPADXPT.spad" 1934798 1934807 1942649 1942654) (-1130 "spad-parser.spad" 1934263 1934272 1934788 1934793) (-1129 "SPADAST.spad" 1933964 1933973 1934253 1934258) (-1128 "SPACEC.spad" 1917977 1917988 1933954 1933959) (-1127 "SPACE3.spad" 1917753 1917764 1917967 1917972) (-1126 "SORTPAK.spad" 1917298 1917311 1917709 1917714) (-1125 "SOLVETRA.spad" 1915055 1915066 1917288 1917293) (-1124 "SOLVESER.spad" 1913575 1913586 1915045 1915050) (-1123 "SOLVERAD.spad" 1909585 1909596 1913565 1913570) (-1122 "SOLVEFOR.spad" 1908005 1908023 1909575 1909580) (-1121 "SNTSCAT.spad" 1907605 1907622 1907973 1908000) (-1120 "SMTS.spad" 1905865 1905891 1907170 1907267) (-1119 "SMP.spad" 1903304 1903324 1903694 1903821) (-1118 "SMITH.spad" 1902147 1902172 1903294 1903299) (-1117 "SMATCAT.spad" 1900257 1900287 1902091 1902142) (-1116 "SMATCAT.spad" 1898299 1898331 1900135 1900140) (-1115 "SKAGG.spad" 1897260 1897271 1898267 1898294) (-1114 "SINT.spad" 1896086 1896095 1897126 1897255) (-1113 "SIMPAN.spad" 1895814 1895823 1896076 1896081) (-1112 "SIG.spad" 1895142 1895151 1895804 1895809) (-1111 "SIGNRF.spad" 1894250 1894261 1895132 1895137) (-1110 "SIGNEF.spad" 1893519 1893536 1894240 1894245) (-1109 "SIGAST.spad" 1892900 1892909 1893509 1893514) (-1108 "SHP.spad" 1890818 1890833 1892856 1892861) (-1107 "SHDP.spad" 1880529 1880556 1881038 1881169) 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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 857716 857743) (-515 "IFAMON.spad" 855882 855899 855976 855981) (-514 "IEVALAB.spad" 855271 855283 855872 855877) (-513 "IEVALAB.spad" 854658 854672 855261 855266) (-512 "IDPO.spad" 854456 854468 854648 854653) (-511 "IDPOAMS.spad" 854212 854224 854446 854451) (-510 "IDPOAM.spad" 853932 853944 854202 854207) (-509 "IDPC.spad" 852866 852878 853922 853927) (-508 "IDPAM.spad" 852611 852623 852856 852861) (-507 "IDPAG.spad" 852358 852370 852601 852606) (-506 "IDENT.spad" 852008 852016 852348 852353) (-505 "IDECOMP.spad" 849245 849263 851998 852003) (-504 "IDEAL.spad" 844168 844207 849180 849185) (-503 "ICDEN.spad" 843319 843335 844158 844163) (-502 "ICARD.spad" 842508 842516 843309 843314) (-501 "IBPTOOLS.spad" 841101 841118 842498 842503) (-500 "IBITS.spad" 840300 840313 840737 840764) (-499 "IBATOOL.spad" 837175 837194 840290 840295) (-498 "IBACHIN.spad" 835662 835677 837165 837170) (-497 "IARRAY2.spad" 834650 834676 835269 835296) (-496 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197440 197648 197653) (-169 "COMPLEX.spad" 191449 191459 191693 191954) (-168 "COMPLEX2.spad" 191162 191174 191439 191444) (-167 "COMPFACT.spad" 190764 190778 191152 191157) (-166 "COMPCAT.spad" 188832 188842 190498 190759) (-165 "COMPCAT.spad" 186593 186605 188261 188266) (-164 "COMMUPC.spad" 186339 186357 186583 186588) (-163 "COMMONOP.spad" 185872 185880 186329 186334) (-162 "COMM.spad" 185681 185689 185862 185867) (-161 "COMMAAST.spad" 185444 185452 185671 185676) (-160 "COMBOPC.spad" 184349 184357 185434 185439) (-159 "COMBINAT.spad" 183094 183104 184339 184344) (-158 "COMBF.spad" 180462 180478 183084 183089) (-157 "COLOR.spad" 179299 179307 180452 180457) (-156 "COLONAST.spad" 178965 178973 179289 179294) (-155 "CMPLXRT.spad" 178674 178691 178955 178960) (-154 "CLLCTAST.spad" 178336 178344 178664 178669) (-153 "CLIP.spad" 174428 174436 178326 178331) (-152 "CLIF.spad" 173067 173083 174384 174423) (-151 "CLAGG.spad" 169552 169562 173057 173062) (-150 "CLAGG.spad" 165908 165920 169415 169420) (-149 "CINTSLPE.spad" 165233 165246 165898 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 1849401 1849406) (-1086 "SEGBIND.spad" 1847390 1847401 1848273 1848278) (-1085 "SEGBIND2.spad" 1847086 1847099 1847380 1847385) (-1084 "SEGAST.spad" 1846800 1846809 1847076 1847081) (-1083 "SEG2.spad" 1846225 1846238 1846756 1846761) (-1082 "SDVAR.spad" 1845501 1845512 1846215 1846220) (-1081 "SDPOL.spad" 1842891 1842902 1843182 1843309) (-1080 "SCPKG.spad" 1840970 1840981 1842881 1842886) (-1079 "SCOPE.spad" 1840119 1840128 1840960 1840965) (-1078 "SCACHE.spad" 1838801 1838812 1840109 1840114) (-1077 "SASTCAT.spad" 1838710 1838719 1838791 1838796) (-1076 "SAOS.spad" 1838582 1838591 1838700 1838705) (-1075 "SAERFFC.spad" 1838295 1838315 1838572 1838577) (-1074 "SAE.spad" 1836470 1836486 1837081 1837216) (-1073 "SAEFACT.spad" 1836171 1836191 1836460 1836465) (-1072 "RURPK.spad" 1833812 1833828 1836161 1836166) (-1071 "RULESET.spad" 1833253 1833277 1833802 1833807) (-1070 "RULE.spad" 1831457 1831481 1833243 1833248) (-1069 "RULECOLD.spad" 1831309 1831322 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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 857752 857779) (-515 "IFAMON.spad" 855918 855935 856012 856017) (-514 "IEVALAB.spad" 855307 855319 855908 855913) (-513 "IEVALAB.spad" 854694 854708 855297 855302) (-512 "IDPO.spad" 854492 854504 854684 854689) (-511 "IDPOAMS.spad" 854248 854260 854482 854487) (-510 "IDPOAM.spad" 853968 853980 854238 854243) (-509 "IDPC.spad" 852902 852914 853958 853963) (-508 "IDPAM.spad" 852647 852659 852892 852897) (-507 "IDPAG.spad" 852394 852406 852637 852642) (-506 "IDENT.spad" 852044 852052 852384 852389) (-505 "IDECOMP.spad" 849281 849299 852034 852039) (-504 "IDEAL.spad" 844204 844243 849216 849221) (-503 "ICDEN.spad" 843355 843371 844194 844199) (-502 "ICARD.spad" 842544 842552 843345 843350) (-501 "IBPTOOLS.spad" 841137 841154 842534 842539) (-500 "IBITS.spad" 840336 840349 840773 840800) (-499 "IBATOOL.spad" 837211 837230 840326 840331) (-498 "IBACHIN.spad" 835698 835713 837201 837206) (-497 "IARRAY2.spad" 834686 834712 835305 835332) (-496 "IARRAY1.spad" 833731 833746 833869 833896) (-495 "IAN.spad" 831944 831952 833547 833640) (-494 "IALGFACT.spad" 831545 831578 831934 831939) (-493 "HYPCAT.spad" 830969 830977 831535 831540) (-492 "HYPCAT.spad" 830391 830401 830959 830964) (-491 "HOSTNAME.spad" 830199 830207 830381 830386) (-490 "HOMOTOP.spad" 829942 829952 830189 830194) (-489 "HOAGG.spad" 827210 827220 829932 829937) (-488 "HOAGG.spad" 824253 824265 826977 826982) (-487 "HEXADEC.spad" 822355 822363 822720 822813) (-486 "HEUGCD.spad" 821370 821381 822345 822350) (-485 "HELLFDIV.spad" 820960 820984 821360 821365) (-484 "HEAP.spad" 820352 820362 820567 820594) (-483 "HEADAST.spad" 819883 819891 820342 820347) (-482 "HDP.spad" 809726 809742 810103 810234) (-481 "HDMP.spad" 806902 806917 807520 807647) (-480 "HB.spad" 805139 805147 806892 806897) (-479 "HASHTBL.spad" 803609 803640 803820 803847) (-478 "HASAST.spad" 803325 803333 803599 803604) (-477 "HACKPI.spad" 802808 802816 803227 803320) (-476 "GTSET.spad" 801747 801763 802454 802481) (-475 "GSTBL.spad" 800266 800301 800440 800455) (-474 "GSERIES.spad" 797433 797460 798398 798547) (-473 "GROUP.spad" 796702 796710 797413 797428) (-472 "GROUP.spad" 795979 795989 796692 796697) (-471 "GROEBSOL.spad" 794467 794488 795969 795974) (-470 "GRMOD.spad" 793038 793050 794457 794462) (-469 "GRMOD.spad" 791607 791621 793028 793033) (-468 "GRIMAGE.spad" 784212 784220 791597 791602) (-467 "GRDEF.spad" 782591 782599 784202 784207) (-466 "GRAY.spad" 781050 781058 782581 782586) (-465 "GRALG.spad" 780097 780109 781040 781045) (-464 "GRALG.spad" 779142 779156 780087 780092) (-463 "GPOLSET.spad" 778596 778619 778824 778851) (-462 "GOSPER.spad" 777861 777879 778586 778591) (-461 "GMODPOL.spad" 776999 777026 777829 777856) (-460 "GHENSEL.spad" 776068 776082 776989 776994) (-459 "GENUPS.spad" 772169 772182 776058 776063) (-458 "GENUFACT.spad" 771746 771756 772159 772164) (-457 "GENPGCD.spad" 771330 771347 771736 771741) (-456 "GENMFACT.spad" 770782 770801 771320 771325) (-455 "GENEEZ.spad" 768721 768734 770772 770777) (-454 "GDMP.spad" 765739 765756 766515 766642) (-453 "GCNAALG.spad" 759634 759661 765533 765600) (-452 "GCDDOM.spad" 758806 758814 759560 759629) (-451 "GCDDOM.spad" 758040 758050 758796 758801) (-450 "GB.spad" 755558 755596 757996 758001) (-449 "GBINTERN.spad" 751578 751616 755548 755553) (-448 "GBF.spad" 747335 747373 751568 751573) (-447 "GBEUCLID.spad" 745209 745247 747325 747330) (-446 "GAUSSFAC.spad" 744506 744514 745199 745204) (-445 "GALUTIL.spad" 742828 742838 744462 744467) (-444 "GALPOLYU.spad" 741274 741287 742818 742823) (-443 "GALFACTU.spad" 739439 739458 741264 741269) (-442 "GALFACT.spad" 729572 729583 739429 739434) (-441 "FVFUN.spad" 726595 726603 729562 729567) (-440 "FVC.spad" 725647 725655 726585 726590) (-439 "FUNDESC.spad" 725325 725333 725637 725642) (-438 "FUNCTION.spad" 725174 725186 725315 725320) (-437 "FT.spad" 723467 723475 725164 725169) (-436 "FTEM.spad" 722630 722638 723457 723462) (-435 "FSUPFACT.spad" 721530 721549 722566 722571) (-434 "FST.spad" 719616 719624 721520 721525) (-433 "FSRED.spad" 719094 719110 719606 719611) (-432 "FSPRMELT.spad" 717918 717934 719051 719056) (-431 "FSPECF.spad" 715995 716011 717908 717913) (-430 "FS.spad" 710057 710067 715770 715990) (-429 "FS.spad" 703897 703909 709612 709617) (-428 "FSINT.spad" 703555 703571 703887 703892) (-427 "FSERIES.spad" 702742 702754 703375 703474) (-426 "FSCINT.spad" 702055 702071 702732 702737) (-425 "FSAGG.spad" 701172 701182 702011 702050) (-424 "FSAGG.spad" 700251 700263 701092 701097) (-423 "FSAGG2.spad" 698950 698966 700241 700246) (-422 "FS2UPS.spad" 693433 693467 698940 698945) (-421 "FS2.spad" 693078 693094 693423 693428) (-420 "FS2EXPXP.spad" 692201 692224 693068 693073) (-419 "FRUTIL.spad" 691143 691153 692191 692196) (-418 "FR.spad" 684837 684847 690167 690236) (-417 "FRNAALG.spad" 679924 679934 684779 684832) (-416 "FRNAALG.spad" 675023 675035 679880 679885) (-415 "FRNAAF2.spad" 674477 674495 675013 675018) (-414 "FRMOD.spad" 673871 673901 674408 674413) (-413 "FRIDEAL.spad" 673066 673087 673851 673866) (-412 "FRIDEAL2.spad" 672668 672700 673056 673061) (-411 "FRETRCT.spad" 672179 672189 672658 672663) (-410 "FRETRCT.spad" 671556 671568 672037 672042) (-409 "FRAMALG.spad" 669884 669897 671512 671551) (-408 "FRAMALG.spad" 668244 668259 669874 669879) (-407 "FRAC.spad" 665343 665353 665746 665919) (-406 "FRAC2.spad" 664946 664958 665333 665338) (-405 "FR2.spad" 664280 664292 664936 664941) (-404 "FPS.spad" 661089 661097 664170 664275) (-403 "FPS.spad" 657926 657936 661009 661014) (-402 "FPC.spad" 656968 656976 657828 657921) (-401 "FPC.spad" 656096 656106 656958 656963) (-400 "FPATMAB.spad" 655858 655868 656086 656091) (-399 "FPARFRAC.spad" 654331 654348 655848 655853) (-398 "FORTRAN.spad" 652837 652880 654321 654326) (-397 "FORT.spad" 651766 651774 652827 652832) (-396 "FORTFN.spad" 648936 648944 651756 651761) (-395 "FORTCAT.spad" 648620 648628 648926 648931) (-394 "FORMULA.spad" 646084 646092 648610 648615) (-393 "FORMULA1.spad" 645563 645573 646074 646079) (-392 "FORDER.spad" 645254 645278 645553 645558) (-391 "FOP.spad" 644455 644463 645244 645249) (-390 "FNLA.spad" 643879 643901 644423 644450) (-389 "FNCAT.spad" 642466 642474 643869 643874) (-388 "FNAME.spad" 642358 642366 642456 642461) (-387 "FMTC.spad" 642156 642164 642284 642353) (-386 "FMONOID.spad" 639211 639221 642112 642117) (-385 "FM.spad" 638906 638918 639145 639172) (-384 "FMFUN.spad" 635936 635944 638896 638901) (-383 "FMC.spad" 634988 634996 635926 635931) (-382 "FMCAT.spad" 632642 632660 634956 634983) (-381 "FM1.spad" 631999 632011 632576 632603) (-380 "FLOATRP.spad" 629720 629734 631989 631994) (-379 "FLOAT.spad" 623008 623016 629586 629715) (-378 "FLOATCP.spad" 620425 620439 622998 623003) (-377 "FLINEXP.spad" 620137 620147 620405 620420) (-376 "FLINEXP.spad" 619803 619815 620073 620078) (-375 "FLASORT.spad" 619123 619135 619793 619798) (-374 "FLALG.spad" 616769 616788 619049 619118) (-373 "FLAGG.spad" 613787 613797 616749 616764) (-372 "FLAGG.spad" 610706 610718 613670 613675) (-371 "FLAGG2.spad" 609387 609403 610696 610701) (-370 "FINRALG.spad" 607416 607429 609343 609382) (-369 "FINRALG.spad" 605371 605386 607300 607305) (-368 "FINITE.spad" 604523 604531 605361 605366) (-367 "FINAALG.spad" 593504 593514 604465 604518) (-366 "FINAALG.spad" 582497 582509 593460 593465) (-365 "FILE.spad" 582080 582090 582487 582492) (-364 "FILECAT.spad" 580598 580615 582070 582075) (-363 "FIELD.spad" 580004 580012 580500 580593) (-362 "FIELD.spad" 579496 579506 579994 579999) (-361 "FGROUP.spad" 578105 578115 579476 579491) (-360 "FGLMICPK.spad" 576892 576907 578095 578100) (-359 "FFX.spad" 576267 576282 576608 576701) (-358 "FFSLPE.spad" 575756 575777 576257 576262) (-357 "FFPOLY.spad" 567008 567019 575746 575751) (-356 "FFPOLY2.spad" 566068 566085 566998 567003) (-355 "FFP.spad" 565465 565485 565784 565877) (-354 "FF.spad" 564913 564929 565146 565239) (-353 "FFNBX.spad" 563425 563445 564629 564722) (-352 "FFNBP.spad" 561938 561955 563141 563234) (-351 "FFNB.spad" 560403 560424 561619 561712) (-350 "FFINTBAS.spad" 557817 557836 560393 560398) (-349 "FFIELDC.spad" 555392 555400 557719 557812) (-348 "FFIELDC.spad" 553053 553063 555382 555387) (-347 "FFHOM.spad" 551801 551818 553043 553048) (-346 "FFF.spad" 549236 549247 551791 551796) (-345 "FFCGX.spad" 548083 548103 548952 549045) (-344 "FFCGP.spad" 546972 546992 547799 547892) (-343 "FFCG.spad" 545764 545785 546653 546746) (-342 "FFCAT.spad" 538791 538813 545603 545759) (-341 "FFCAT.spad" 531897 531921 538711 538716) (-340 "FFCAT2.spad" 531642 531682 531887 531892) (-339 "FEXPR.spad" 523351 523397 531398 531437) (-338 "FEVALAB.spad" 523057 523067 523341 523346) (-337 "FEVALAB.spad" 522548 522560 522834 522839) (-336 "FDIV.spad" 521990 522014 522538 522543) (-335 "FDIVCAT.spad" 520032 520056 521980 521985) (-334 "FDIVCAT.spad" 518072 518098 520022 520027) (-333 "FDIV2.spad" 517726 517766 518062 518067) (-332 "FCPAK1.spad" 516279 516287 517716 517721) (-331 "FCOMP.spad" 515658 515668 516269 516274) (-330 "FC.spad" 505573 505581 515648 515653) (-329 "FAXF.spad" 498508 498522 505475 505568) (-328 "FAXF.spad" 491495 491511 498464 498469) (-327 "FARRAY.spad" 489641 489651 490678 490705) (-326 "FAMR.spad" 487761 487773 489539 489636) (-325 "FAMR.spad" 485865 485879 487645 487650) (-324 "FAMONOID.spad" 485515 485525 485819 485824) (-323 "FAMONC.spad" 483737 483749 485505 485510) (-322 "FAGROUP.spad" 483343 483353 483633 483660) (-321 "FACUTIL.spad" 481539 481556 483333 483338) (-320 "FACTFUNC.spad" 480715 480725 481529 481534) (-319 "EXPUPXS.spad" 477548 477571 478847 478996) (-318 "EXPRTUBE.spad" 474776 474784 477538 477543) (-317 "EXPRODE.spad" 471648 471664 474766 474771) (-316 "EXPR.spad" 466923 466933 467637 468044) (-315 "EXPR2UPS.spad" 463015 463028 466913 466918) (-314 "EXPR2.spad" 462718 462730 463005 463010) (-313 "EXPEXPAN.spad" 459656 459681 460290 460383) (-312 "EXIT.spad" 459327 459335 459646 459651) (-311 "EXITAST.spad" 459063 459071 459317 459322) (-310 "EVALCYC.spad" 458521 458535 459053 459058) (-309 "EVALAB.spad" 458085 458095 458511 458516) (-308 "EVALAB.spad" 457647 457659 458075 458080) (-307 "EUCDOM.spad" 455189 455197 457573 457642) (-306 "EUCDOM.spad" 452793 452803 455179 455184) (-305 "ESTOOLS.spad" 444633 444641 452783 452788) (-304 "ESTOOLS2.spad" 444234 444248 444623 444628) (-303 "ESTOOLS1.spad" 443919 443930 444224 444229) (-302 "ES.spad" 436466 436474 443909 443914) (-301 "ES.spad" 428919 428929 436364 436369) (-300 "ESCONT.spad" 425692 425700 428909 428914) (-299 "ESCONT1.spad" 425441 425453 425682 425687) (-298 "ES2.spad" 424936 424952 425431 425436) (-297 "ES1.spad" 424502 424518 424926 424931) (-296 "ERROR.spad" 421823 421831 424492 424497) (-295 "EQTBL.spad" 420295 420317 420504 420531) (-294 "EQ.spad" 415169 415179 417968 418080) (-293 "EQ2.spad" 414885 414897 415159 415164) (-292 "EP.spad" 411199 411209 414875 414880) (-291 "ENV.spad" 409851 409859 411189 411194) (-290 "ENTIRER.spad" 409519 409527 409795 409846) (-289 "EMR.spad" 408720 408761 409445 409514) (-288 "ELTAGG.spad" 406960 406979 408710 408715) (-287 "ELTAGG.spad" 405164 405185 406916 406921) (-286 "ELTAB.spad" 404611 404629 405154 405159) (-285 "ELFUTS.spad" 403990 404009 404601 404606) (-284 "ELEMFUN.spad" 403679 403687 403980 403985) (-283 "ELEMFUN.spad" 403366 403376 403669 403674) (-282 "ELAGG.spad" 401309 401319 403346 403361) (-281 "ELAGG.spad" 399189 399201 401228 401233) (-280 "ELABEXPR.spad" 398112 398120 399179 399184) (-279 "EFUPXS.spad" 394888 394918 398068 398073) (-278 "EFULS.spad" 391724 391747 394844 394849) (-277 "EFSTRUC.spad" 389679 389695 391714 391719) (-276 "EF.spad" 384445 384461 389669 389674) (-275 "EAB.spad" 382721 382729 384435 384440) (-274 "E04UCFA.spad" 382257 382265 382711 382716) (-273 "E04NAFA.spad" 381834 381842 382247 382252) (-272 "E04MBFA.spad" 381414 381422 381824 381829) (-271 "E04JAFA.spad" 380950 380958 381404 381409) (-270 "E04GCFA.spad" 380486 380494 380940 380945) (-269 "E04FDFA.spad" 380022 380030 380476 380481) (-268 "E04DGFA.spad" 379558 379566 380012 380017) (-267 "E04AGNT.spad" 375400 375408 379548 379553) (-266 "DVARCAT.spad" 372085 372095 375390 375395) (-265 "DVARCAT.spad" 368768 368780 372075 372080) (-264 "DSMP.spad" 366199 366213 366504 366631) (-263 "DROPT.spad" 360144 360152 366189 366194) (-262 "DROPT1.spad" 359807 359817 360134 360139) (-261 "DROPT0.spad" 354634 354642 359797 359802) (-260 "DRAWPT.spad" 352789 352797 354624 354629) (-259 "DRAW.spad" 345389 345402 352779 352784) (-258 "DRAWHACK.spad" 344697 344707 345379 345384) (-257 "DRAWCX.spad" 342139 342147 344687 344692) (-256 "DRAWCURV.spad" 341676 341691 342129 342134) (-255 "DRAWCFUN.spad" 330848 330856 341666 341671) (-254 "DQAGG.spad" 329016 329026 330816 330843) (-253 "DPOLCAT.spad" 324357 324373 328884 329011) (-252 "DPOLCAT.spad" 319784 319802 324313 324318) (-251 "DPMO.spad" 312010 312026 312148 312449) (-250 "DPMM.spad" 304249 304267 304374 304675) (-249 "DOMCTOR.spad" 304141 304149 304239 304244) (-248 "DOMAIN.spad" 303272 303280 304131 304136) (-247 "DMP.spad" 300494 300509 301066 301193) (-246 "DLP.spad" 299842 299852 300484 300489) (-245 "DLIST.spad" 298421 298431 299025 299052) (-244 "DLAGG.spad" 296832 296842 298411 298416) (-243 "DIVRING.spad" 296374 296382 296776 296827) (-242 "DIVRING.spad" 295960 295970 296364 296369) (-241 "DISPLAY.spad" 294140 294148 295950 295955) (-240 "DIRPROD.spad" 283720 283736 284360 284491) (-239 "DIRPROD2.spad" 282528 282546 283710 283715) (-238 "DIRPCAT.spad" 281470 281486 282392 282523) (-237 "DIRPCAT.spad" 280141 280159 281065 281070) (-236 "DIOSP.spad" 278966 278974 280131 280136) (-235 "DIOPS.spad" 277950 277960 278946 278961) (-234 "DIOPS.spad" 276908 276920 277906 277911) (-233 "DIFRING.spad" 276200 276208 276888 276903) (-232 "DIFRING.spad" 275500 275510 276190 276195) (-231 "DIFEXT.spad" 274659 274669 275480 275495) (-230 "DIFEXT.spad" 273735 273747 274558 274563) (-229 "DIAGG.spad" 273365 273375 273715 273730) (-228 "DIAGG.spad" 273003 273015 273355 273360) (-227 "DHMATRIX.spad" 271307 271317 272460 272487) (-226 "DFSFUN.spad" 264715 264723 271297 271302) (-225 "DFLOAT.spad" 261436 261444 264605 264710) (-224 "DFINTTLS.spad" 259645 259661 261426 261431) (-223 "DERHAM.spad" 257555 257587 259625 259640) (-222 "DEQUEUE.spad" 256873 256883 257162 257189) (-221 "DEGRED.spad" 256488 256502 256863 256868) (-220 "DEFINTRF.spad" 254013 254023 256478 256483) (-219 "DEFINTEF.spad" 252509 252525 254003 254008) (-218 "DEFAST.spad" 251877 251885 252499 252504) (-217 "DECIMAL.spad" 249983 249991 250344 250437) (-216 "DDFACT.spad" 247782 247799 249973 249978) (-215 "DBLRESP.spad" 247380 247404 247772 247777) (-214 "DBASE.spad" 246034 246044 247370 247375) (-213 "DATAARY.spad" 245496 245509 246024 246029) (-212 "D03FAFA.spad" 245324 245332 245486 245491) (-211 "D03EEFA.spad" 245144 245152 245314 245319) (-210 "D03AGNT.spad" 244224 244232 245134 245139) (-209 "D02EJFA.spad" 243686 243694 244214 244219) (-208 "D02CJFA.spad" 243164 243172 243676 243681) (-207 "D02BHFA.spad" 242654 242662 243154 243159) (-206 "D02BBFA.spad" 242144 242152 242644 242649) (-205 "D02AGNT.spad" 236948 236956 242134 242139) (-204 "D01WGTS.spad" 235267 235275 236938 236943) (-203 "D01TRNS.spad" 235244 235252 235257 235262) (-202 "D01GBFA.spad" 234766 234774 235234 235239) (-201 "D01FCFA.spad" 234288 234296 234756 234761) (-200 "D01ASFA.spad" 233756 233764 234278 234283) (-199 "D01AQFA.spad" 233202 233210 233746 233751) (-198 "D01APFA.spad" 232626 232634 233192 233197) (-197 "D01ANFA.spad" 232120 232128 232616 232621) (-196 "D01AMFA.spad" 231630 231638 232110 232115) (-195 "D01ALFA.spad" 231170 231178 231620 231625) (-194 "D01AKFA.spad" 230696 230704 231160 231165) (-193 "D01AJFA.spad" 230219 230227 230686 230691) (-192 "D01AGNT.spad" 226278 226286 230209 230214) (-191 "CYCLOTOM.spad" 225784 225792 226268 226273) (-190 "CYCLES.spad" 222616 222624 225774 225779) (-189 "CVMP.spad" 222033 222043 222606 222611) (-188 "CTRIGMNP.spad" 220523 220539 222023 222028) (-187 "CTOR.spad" 220214 220222 220513 220518) (-186 "CTORKIND.spad" 219817 219825 220204 220209) (-185 "CTORCAT.spad" 219066 219074 219807 219812) (-184 "CTORCAT.spad" 218313 218323 219056 219061) (-183 "CTORCALL.spad" 217893 217901 218303 218308) (-182 "CSTTOOLS.spad" 217136 217149 217883 217888) (-181 "CRFP.spad" 210840 210853 217126 217131) (-180 "CRCEAST.spad" 210560 210568 210830 210835) (-179 "CRAPACK.spad" 209603 209613 210550 210555) (-178 "CPMATCH.spad" 209103 209118 209528 209533) (-177 "CPIMA.spad" 208808 208827 209093 209098) (-176 "COORDSYS.spad" 203701 203711 208798 208803) (-175 "CONTOUR.spad" 203108 203116 203691 203696) (-174 "CONTFRAC.spad" 198720 198730 203010 203103) (-173 "CONDUIT.spad" 198478 198486 198710 198715) (-172 "COMRING.spad" 198152 198160 198416 198473) (-171 "COMPPROP.spad" 197666 197674 198142 198147) (-170 "COMPLPAT.spad" 197433 197448 197656 197661) (-169 "COMPLEX.spad" 191457 191467 191701 191962) (-168 "COMPLEX2.spad" 191170 191182 191447 191452) (-167 "COMPFACT.spad" 190772 190786 191160 191165) (-166 "COMPCAT.spad" 188840 188850 190506 190767) (-165 "COMPCAT.spad" 186601 186613 188269 188274) (-164 "COMMUPC.spad" 186347 186365 186591 186596) (-163 "COMMONOP.spad" 185880 185888 186337 186342) (-162 "COMM.spad" 185689 185697 185870 185875) (-161 "COMMAAST.spad" 185452 185460 185679 185684) (-160 "COMBOPC.spad" 184357 184365 185442 185447) (-159 "COMBINAT.spad" 183102 183112 184347 184352) (-158 "COMBF.spad" 180470 180486 183092 183097) (-157 "COLOR.spad" 179307 179315 180460 180465) (-156 "COLONAST.spad" 178973 178981 179297 179302) (-155 "CMPLXRT.spad" 178682 178699 178963 178968) (-154 "CLLCTAST.spad" 178344 178352 178672 178677) (-153 "CLIP.spad" 174436 174444 178334 178339) (-152 "CLIF.spad" 173075 173091 174392 174431) (-151 "CLAGG.spad" 169560 169570 173065 173070) (-150 "CLAGG.spad" 165916 165928 169423 169428) (-149 "CINTSLPE.spad" 165241 165254 165906 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))
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