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authordos-reis <gdr@axiomatics.org>2009-05-15 16:47:28 +0000
committerdos-reis <gdr@axiomatics.org>2009-05-15 16:47:28 +0000
commit530c1ee0f24568ecb6d61c3ce2c7af1863595fdf (patch)
treeaa2766372d474b05b0f7749c35829c52c328369b /src/share/algebra/browse.daase
parentd9fed70309979e063c16c35be9756c4ce76b2136 (diff)
downloadopen-axiom-530c1ee0f24568ecb6d61c3ce2c7af1863595fdf.tar.gz
* algebra/expr.spad.pamphlet (FunctionSpaceAttachPredicates): Tidy.
(FunctionSpaceAssertions): Likewise. * algebra/op.spad.pamphlet (BasicOperator): Tidy. (CommonOperators): Likewise.
Diffstat (limited to 'src/share/algebra/browse.daase')
-rw-r--r--src/share/algebra/browse.daase58
1 files changed, 29 insertions, 29 deletions
diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase
index db874e80..beaaf23e 100644
--- a/src/share/algebra/browse.daase
+++ b/src/share/algebra/browse.daase
@@ -1,5 +1,5 @@
-(2283430 . 3451368717)
+(2283545 . 3451393490)
(-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 -1353)
+(-40 -2308 UP UPUP -2432)
((|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)))))
@@ -385,7 +385,7 @@ NIL
NIL
((|HasCategory| |#1| (QUOTE (-846))))
(-114)
-((|constructor| (NIL "A basic operator is an object that can be applied to a list of arguments from a set,{} the result being a kernel over that set.")) (|setProperties| (($ $ (|AssociationList| (|String|) (|None|))) "\\spad{setProperties(op,{} l)} sets the property list of \\spad{op} to \\spad{l}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|setProperty| (($ $ (|Identifier|) (|None|)) "\\spad{setProperty(op,{} p,{} v)} attaches property \\spad{p} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|) (|None|)) "\\spad{setProperty(op,{} s,{} v)} attaches property \\spad{s} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|property| (((|Maybe| (|None|)) $ (|Identifier|)) "\\spad{property(op,{} p)} returns the value of property \\spad{p} if it is attached to \\spad{op},{} otherwise \\spad{nothing}.") (((|Union| (|None|) "failed") $ (|String|)) "\\spad{property(op,{} s)} returns the value of property \\spad{s} if it is attached to \\spad{op},{} and \"failed\" otherwise.")) (|deleteProperty!| (($ $ (|Identifier|)) "\\spad{deleteProperty!(op,{} p)} unattaches property \\spad{p} from \\spad{op}. Argument \\spad}op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|)) "\\spad{deleteProperty!(op,{} s)} unattaches property \\spad{s} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|assert| (($ $ (|Identifier|)) "\\spad{assert(op,{} p)} attaches property \\spad{p} to \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|)) "\\spad{assert(op,{} s)} attaches property \\spad{s} to \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|has?| (((|Boolean|) $ (|String|)) "\\spad{has?(op,{} s)} tests if property \\spad{s} is attached to \\spad{op}.")) (|is?| (((|Boolean|) $ (|Symbol|)) "\\spad{is?(op,{} s)} tests if the name of \\spad{op} is \\spad{s}.")) (|input| (((|Union| (|Mapping| (|InputForm|) (|List| (|InputForm|))) "failed") $) "\\spad{input(op)} returns the \"\\%input\" property of \\spad{op} if it has one attached,{} \"failed\" otherwise.") (($ $ (|Mapping| (|InputForm|) (|List| (|InputForm|)))) "\\spad{input(op,{} foo)} attaches foo as the \"\\%input\" property of \\spad{op}. If \\spad{op} has a \"\\%input\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to InputForm as \\spad{f(a1,{}...,{}an)}.")) (|display| (($ $ (|Mapping| (|OutputForm|) (|OutputForm|))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a)} gets converted to OutputForm as \\spad{f(a)}. Argument \\spad{op} must be unary.") (($ $ (|Mapping| (|OutputForm|) (|List| (|OutputForm|)))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to OutputForm as \\spad{f(a1,{}...,{}an)}.") (((|Union| (|Mapping| (|OutputForm|) (|List| (|OutputForm|))) "failed") $) "\\spad{display(op)} returns the \"\\%display\" property of \\spad{op} if it has one attached,{} and \"failed\" otherwise.")) (|comparison| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{comparison(op,{} foo?)} attaches foo? as the \"\\%less?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has a \"\\%less?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether \\spad{op1 < op2}.")) (|equality| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{equality(op,{} foo?)} attaches foo? as the \"\\%equal?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has an \"\\%equal?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether op1 and op2 should be considered equal.")) (|weight| (($ $ (|NonNegativeInteger|)) "\\spad{weight(op,{} n)} attaches the weight \\spad{n} to \\spad{op}.") (((|NonNegativeInteger|) $) "\\spad{weight(op)} returns the weight attached to \\spad{op}.")) (|nary?| (((|Boolean|) $) "\\spad{nary?(op)} tests if \\spad{op} has arbitrary arity.")) (|unary?| (((|Boolean|) $) "\\spad{unary?(op)} tests if \\spad{op} is unary.")) (|nullary?| (((|Boolean|) $) "\\spad{nullary?(op)} tests if \\spad{op} is nullary.")) (|operator| (($ (|Symbol|) (|Arity|)) "\\spad{operator(f,{} a)} makes \\spad{f} into an operator of arity \\spad{a}.") (($ (|Symbol|) (|NonNegativeInteger|)) "\\spad{operator(f,{} n)} makes \\spad{f} into an \\spad{n}-ary operator.") (($ (|Symbol|)) "\\spad{operator(f)} makes \\spad{f} into an operator with arbitrary arity.")) (|copy| (($ $) "\\spad{copy(op)} returns a copy of \\spad{op}.")) (|properties| (((|AssociationList| (|String|) (|None|)) $) "\\spad{properties(op)} returns the list of all the properties currently attached to \\spad{op}.")))
+((|constructor| (NIL "A basic operator is an object that can be applied to a list of arguments from a set,{} the result being a kernel over that set.")) (|setProperties| (($ $ (|AssociationList| (|String|) (|None|))) "\\spad{setProperties(op,{} l)} sets the property list of \\spad{op} to \\spad{l}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|setProperty| (($ $ (|Identifier|) (|None|)) "\\spad{setProperty(op,{} p,{} v)} attaches property \\spad{p} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|) (|None|)) "\\spad{setProperty(op,{} s,{} v)} attaches property \\spad{s} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|property| (((|Maybe| (|None|)) $ (|Identifier|)) "\\spad{property(op,{} p)} returns the value of property \\spad{p} if it is attached to \\spad{op},{} otherwise \\spad{nothing}.") (((|Union| (|None|) "failed") $ (|String|)) "\\spad{property(op,{} s)} returns the value of property \\spad{s} if it is attached to \\spad{op},{} and \"failed\" otherwise.")) (|deleteProperty!| (($ $ (|Identifier|)) "\\spad{deleteProperty!(op,{} p)} unattaches property \\spad{p} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|)) "\\spad{deleteProperty!(op,{} s)} unattaches property \\spad{s} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|assert| (($ $ (|Identifier|)) "\\spad{assert(op,{} p)} attaches property \\spad{p} to \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|)) "\\spad{assert(op,{} s)} attaches property \\spad{s} to \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|has?| (((|Boolean|) $ (|Identifier|)) "\\spad{has?(op,{}p)} tests if property \\spad{s} is attached to \\spad{op}.") (((|Boolean|) $ (|String|)) "\\spad{has?(op,{} s)} tests if property \\spad{s} is attached to \\spad{op}.")) (|is?| (((|Boolean|) $ (|Symbol|)) "\\spad{is?(op,{} s)} tests if the name of \\spad{op} is \\spad{s}.")) (|input| (((|Union| (|Mapping| (|InputForm|) (|List| (|InputForm|))) "failed") $) "\\spad{input(op)} returns the \"\\%input\" property of \\spad{op} if it has one attached,{} \"failed\" otherwise.") (($ $ (|Mapping| (|InputForm|) (|List| (|InputForm|)))) "\\spad{input(op,{} foo)} attaches foo as the \"\\%input\" property of \\spad{op}. If \\spad{op} has a \"\\%input\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to InputForm as \\spad{f(a1,{}...,{}an)}.")) (|display| (($ $ (|Mapping| (|OutputForm|) (|OutputForm|))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a)} gets converted to OutputForm as \\spad{f(a)}. Argument \\spad{op} must be unary.") (($ $ (|Mapping| (|OutputForm|) (|List| (|OutputForm|)))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to OutputForm as \\spad{f(a1,{}...,{}an)}.") (((|Union| (|Mapping| (|OutputForm|) (|List| (|OutputForm|))) "failed") $) "\\spad{display(op)} returns the \"\\%display\" property of \\spad{op} if it has one attached,{} and \"failed\" otherwise.")) (|comparison| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{comparison(op,{} foo?)} attaches foo? as the \"\\%less?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has a \"\\%less?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether \\spad{op1 < op2}.")) (|equality| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{equality(op,{} foo?)} attaches foo? as the \"\\%equal?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has an \"\\%equal?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether op1 and op2 should be considered equal.")) (|weight| (($ $ (|NonNegativeInteger|)) "\\spad{weight(op,{} n)} attaches the weight \\spad{n} to \\spad{op}.") (((|NonNegativeInteger|) $) "\\spad{weight(op)} returns the weight attached to \\spad{op}.")) (|nary?| (((|Boolean|) $) "\\spad{nary?(op)} tests if \\spad{op} has arbitrary arity.")) (|unary?| (((|Boolean|) $) "\\spad{unary?(op)} tests if \\spad{op} is unary.")) (|nullary?| (((|Boolean|) $) "\\spad{nullary?(op)} tests if \\spad{op} is nullary.")) (|operator| (($ (|Symbol|) (|Arity|)) "\\spad{operator(f,{} a)} makes \\spad{f} into an operator of arity \\spad{a}.") (($ (|Symbol|) (|NonNegativeInteger|)) "\\spad{operator(f,{} n)} makes \\spad{f} into an \\spad{n}-ary operator.") (($ (|Symbol|)) "\\spad{operator(f)} makes \\spad{f} into an operator with arbitrary arity.")) (|copy| (($ $) "\\spad{copy(op)} returns a copy of \\spad{op}.")) (|properties| (((|AssociationList| (|String|) (|None|)) $) "\\spad{properties(op)} returns the list of all the properties currently attached to \\spad{op}.")))
NIL
NIL
(-115 -2308 UP)
@@ -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)) (-3609 . 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)) (-3604 . 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)) (-3609 . 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)) (-3604 . 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 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(|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")))
@@ -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| -1918 -1877 |exactQuo|)
+(-289 S R |Mod| -3227 -2866 |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
@@ -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.")))
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(-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))
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(-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 -3521)
+(-654 A -4348)
((|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)) (-3609 . 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)) (-3604 . 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 -3930 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| -1918 -1877 |exactQuo|)
+(-707 R |Mod| -3227 -2866 |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| (($ $ $) "\\spad{adjoint(op1,{} op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}.")))
((-4401 |has| |#1| (-172)) (-4400 |has| |#1| (-172)) (-4403 . T))
((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))))
-(-711 R |Mod| -1918 -1877 |exactQuo|)
+(-711 R |Mod| -3227 -2866 |exactQuo|)
((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\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 -3930)
((|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
@@ -3629,7 +3629,7 @@ NIL
NIL
NIL
(-925 R -2308)
-((|constructor| (NIL "Attaching assertions to symbols for pattern matching; Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|multiple| ((|#2| |#2|) "\\spad{multiple(x)} tells the pattern matcher that \\spad{x} should preferably match a multi-term quantity in a sum or product. For matching on lists,{} multiple(\\spad{x}) tells the pattern matcher that \\spad{x} should match a list instead of an element of a list. Error: if \\spad{x} is not a symbol.")) (|optional| ((|#2| |#2|) "\\spad{optional(x)} tells the pattern matcher that \\spad{x} can match an identity (0 in a sum,{} 1 in a product or exponentiation). Error: if \\spad{x} is not a symbol.")) (|constant| ((|#2| |#2|) "\\spad{constant(x)} tells the pattern matcher that \\spad{x} should match only the symbol \\spad{'x} and no other quantity. Error: if \\spad{x} is not a symbol.")) (|assert| ((|#2| |#2| (|String|)) "\\spad{assert(x,{} s)} makes the assertion \\spad{s} about \\spad{x}. Error: if \\spad{x} is not a symbol.")))
+((|constructor| (NIL "Attaching assertions to symbols for pattern matching; Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|multiple| ((|#2| |#2|) "\\spad{multiple(x)} tells the pattern matcher that \\spad{x} should preferably match a multi-term quantity in a sum or product. For matching on lists,{} multiple(\\spad{x}) tells the pattern matcher that \\spad{x} should match a list instead of an element of a list. Error: if \\spad{x} is not a symbol.")) (|optional| ((|#2| |#2|) "\\spad{optional(x)} tells the pattern matcher that \\spad{x} can match an identity (0 in a sum,{} 1 in a product or exponentiation). Error: if \\spad{x} is not a symbol.")) (|constant| ((|#2| |#2|) "\\spad{constant(x)} tells the pattern matcher that \\spad{x} should match only the symbol \\spad{'x} and no other quantity. Error: if \\spad{x} is not a symbol.")) (|assert| ((|#2| |#2| (|Identifier|)) "\\spad{assert(x,{} s)} makes the assertion \\spad{s} about \\spad{x}. Error: if \\spad{x} is not a symbol.")))
NIL
NIL
(-926)
@@ -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 -3930)
((|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 -3930)
((|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
@@ -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.")))
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(-1162 R -2308)
((|constructor| (NIL "computes sums of top-level expressions.")) (|sum| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{sum(f(n),{} n = a..b)} returns \\spad{f}(a) + \\spad{f}(a+1) + ... + \\spad{f}(\\spad{b}).") ((|#2| |#2| (|Symbol|)) "\\spad{sum(a(n),{} n)} returns A(\\spad{n}) such that A(\\spad{n+1}) - A(\\spad{n}) = a(\\spad{n}).")))
NIL
@@ -4599,11 +4599,11 @@ NIL
(-1167 |Coef| |var| |cen|)
((|constructor| (NIL "Sparse Puiseux series in one variable \\indented{2}{\\spadtype{SparseUnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariatePuiseuxSeries(Integer,{}x,{}3)} represents Puiseux} \\indented{2}{series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")))
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(-1168 |Coef| |var| |cen|)
((|constructor| (NIL "Sparse Taylor series in one variable \\indented{2}{\\spadtype{SparseUnivariateTaylorSeries} is a domain representing Taylor} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spadtype{SparseUnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor} \\indented{2}{series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),{}x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} computes the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,{}k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}.")))
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(-1169)
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NIL
@@ -4819,11 +4819,11 @@ NIL
(-1222 |Coef| UTS)
((|constructor| (NIL "This package enables one to construct a univariate Laurent series domain from a univariate Taylor series domain. Univariate Laurent series are represented by a pair \\spad{[n,{}f(x)]},{} where \\spad{n} is an arbitrary integer and \\spad{f(x)} is a Taylor series. This pair represents the Laurent series \\spad{x**n * f(x)}.")))
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((|constructor| (NIL "Dense Laurent series in one variable \\indented{2}{\\spadtype{UnivariateLaurentSeries} is a domain representing Laurent} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{UnivariateLaurentSeries(Integer,{}x,{}3)} represents Laurent series in} \\indented{2}{\\spad{(x - 3)} with integer coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Laurent series.")))
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(-1224 ZP)
((|constructor| (NIL "Package for the factorization of univariate polynomials with integer coefficients. The factorization is done by \"lifting\" (HENSEL) the factorization over a finite field.")) (|henselFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|)) "\\spad{henselFact(m,{}flag)} returns the factorization of \\spad{m},{} FinalFact is a Record \\spad{s}.\\spad{t}. FinalFact.contp=content \\spad{m},{} FinalFact.factors=List of irreducible factors of \\spad{m} with exponent ,{} if \\spad{flag} =true the polynomial is assumed square free.")) (|factorSquareFree| (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(m)} returns the factorization of \\spad{m} square free polynomial")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(m)} returns the factorization of \\spad{m}")))
NIL
@@ -4875,7 +4875,7 @@ NIL
(-1236 S |Coef| |Expon|)
((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#2|) $ |#2|) "\\spad{eval(f,{}a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#3|) "\\spad{extend(f,{}n)} causes all terms of \\spad{f} of degree \\spad{<=} \\spad{n} to be computed.")) (|approximate| ((|#2| $ |#3|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#3| |#3|) "\\spad{truncate(f,{}k1,{}k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#3|) "\\spad{truncate(f,{}k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#3| $ |#3|) "\\spad{order(f,{}n) = min(m,{}n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#3| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,{}n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#2| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|elt| ((|#2| $ |#3|) "\\spad{elt(f(x),{}r)} returns the coefficient of the term of degree \\spad{r} in \\spad{f(x)}. This is the same as the function \\spadfun{coefficient}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#3|) (|:| |c| |#2|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents.")))
NIL
-((|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}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#2|) (|:| |c| |#1|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents.")))
(((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4400 . T) (-4401 . T) (-4403 . T))
@@ -4903,11 +4903,11 @@ NIL
(-1243 |Coef| ULS)
((|constructor| (NIL "This package enables one to construct a univariate Puiseux series domain from a univariate Laurent series domain. Univariate Puiseux series are represented by a pair \\spad{[r,{}f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x^r)}.")))
(((-4408 "*") |has| |#1| (-172)) (-4399 |has| |#1| (-556)) (-4404 |has| |#1| (-363)) (-4398 |has| |#1| (-363)) (-4400 . T) (-4401 . T) (-4403 . T))
-((|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2797 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2797 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2344) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2797 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2721) (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 -4206) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2559) (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 -2721) (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 -4206) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2559) (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 -2721) (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 -2559) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -4206) (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 -2721) (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 -4206) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -2559) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|)))))))
(-1252 |Coef| UTS)
((|constructor| (NIL "\\indented{1}{This package provides Taylor series solutions to regular} linear or non-linear ordinary differential equations of arbitrary order.")) (|mpsode| (((|List| |#2|) (|List| |#1|) (|List| (|Mapping| |#2| (|List| |#2|)))) "\\spad{mpsode(r,{}f)} solves the system of differential equations \\spad{dy[i]/dx =f[i] [x,{}y[1],{}y[2],{}...,{}y[n]]},{} \\spad{y[i](a) = r[i]} for \\spad{i} in 1..\\spad{n}.")) (|ode| ((|#2| (|Mapping| |#2| (|List| |#2|)) (|List| |#1|)) "\\spad{ode(f,{}cl)} is the solution to \\spad{y<n>=f(y,{}y',{}..,{}y<n-1>)} such that \\spad{y<i>(a) = cl.i} for \\spad{i} in 1..\\spad{n}.")) (|ode2| ((|#2| (|Mapping| |#2| |#2| |#2|) |#1| |#1|) "\\spad{ode2(f,{}c0,{}c1)} is the solution to \\spad{y'' = f(y,{}y')} such that \\spad{y(a) = c0} and \\spad{y'(a) = c1}.")) (|ode1| ((|#2| (|Mapping| |#2| |#2|) |#1|) "\\spad{ode1(f,{}c)} is the solution to \\spad{y' = f(y)} such that \\spad{y(a) = c}.")) (|fixedPointExquo| ((|#2| |#2| |#2|) "\\spad{fixedPointExquo(f,{}g)} computes the exact quotient of \\spad{f} and \\spad{g} using a fixed point computation.")) (|stFuncN| (((|Mapping| (|Stream| |#1|) (|List| (|Stream| |#1|))) (|Mapping| |#2| (|List| |#2|))) "\\spad{stFuncN(f)} is a local function xported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc2| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2| |#2|)) "\\spad{stFunc2(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc1| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2|)) "\\spad{stFunc1(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user.")))
NIL
@@ -5096,4 +5096,4 @@ NIL
NIL
NIL
NIL
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"STAGG.spad" 1970751 1970764 1971668 1971673) (-1141 "STACK.spad" 1970102 1970113 1970358 1970385) (-1140 "SREGSET.spad" 1967806 1967823 1969748 1969775) (-1139 "SRDCMPK.spad" 1966351 1966371 1967796 1967801) (-1138 "SRAGG.spad" 1961448 1961457 1966319 1966346) (-1137 "SRAGG.spad" 1956565 1956576 1961438 1961443) (-1136 "SQMATRIX.spad" 1954181 1954199 1955097 1955184) (-1135 "SPLTREE.spad" 1948733 1948746 1953617 1953644) (-1134 "SPLNODE.spad" 1945321 1945334 1948723 1948728) (-1133 "SPFCAT.spad" 1944098 1944107 1945311 1945316) (-1132 "SPECOUT.spad" 1942648 1942657 1944088 1944093) (-1131 "SPADXPT.spad" 1934787 1934796 1942638 1942643) (-1130 "spad-parser.spad" 1934252 1934261 1934777 1934782) (-1129 "SPADAST.spad" 1933953 1933962 1934242 1934247) (-1128 "SPACEC.spad" 1917966 1917977 1933943 1933948) (-1127 "SPACE3.spad" 1917742 1917753 1917956 1917961) (-1126 "SORTPAK.spad" 1917287 1917300 1917698 1917703) (-1125 "SOLVETRA.spad" 1915044 1915055 1917277 1917282) (-1124 "SOLVESER.spad" 1913564 1913575 1915034 1915039) (-1123 "SOLVERAD.spad" 1909574 1909585 1913554 1913559) (-1122 "SOLVEFOR.spad" 1907994 1908012 1909564 1909569) (-1121 "SNTSCAT.spad" 1907594 1907611 1907962 1907989) (-1120 "SMTS.spad" 1905854 1905880 1907159 1907256) (-1119 "SMP.spad" 1903293 1903313 1903683 1903810) (-1118 "SMITH.spad" 1902136 1902161 1903283 1903288) (-1117 "SMATCAT.spad" 1900246 1900276 1902080 1902131) (-1116 "SMATCAT.spad" 1898288 1898320 1900124 1900129) (-1115 "SKAGG.spad" 1897249 1897260 1898256 1898283) (-1114 "SINT.spad" 1896075 1896084 1897115 1897244) (-1113 "SIMPAN.spad" 1895803 1895812 1896065 1896070) (-1112 "SIG.spad" 1895131 1895140 1895793 1895798) (-1111 "SIGNRF.spad" 1894239 1894250 1895121 1895126) (-1110 "SIGNEF.spad" 1893508 1893525 1894229 1894234) (-1109 "SIGAST.spad" 1892889 1892898 1893498 1893503) (-1108 "SHP.spad" 1890807 1890822 1892845 1892850) (-1107 "SHDP.spad" 1880518 1880545 1881027 1881158) (-1106 "SGROUP.spad" 1880126 1880135 1880508 1880513) (-1105 "SGROUP.spad" 1879732 1879743 1880116 1880121) (-1104 "SGCF.spad" 1872613 1872622 1879722 1879727) (-1103 "SFRTCAT.spad" 1871541 1871558 1872581 1872608) (-1102 "SFRGCD.spad" 1870604 1870624 1871531 1871536) (-1101 "SFQCMPK.spad" 1865241 1865261 1870594 1870599) (-1100 "SFORT.spad" 1864676 1864690 1865231 1865236) (-1099 "SEXOF.spad" 1864519 1864559 1864666 1864671) (-1098 "SEX.spad" 1864411 1864420 1864509 1864514) (-1097 "SEXCAT.spad" 1861962 1862002 1864401 1864406) (-1096 "SET.spad" 1860262 1860273 1861383 1861422) (-1095 "SETMN.spad" 1858696 1858713 1860252 1860257) (-1094 "SETCAT.spad" 1858181 1858190 1858686 1858691) (-1093 "SETCAT.spad" 1857664 1857675 1858171 1858176) (-1092 "SETAGG.spad" 1854185 1854196 1857644 1857659) (-1091 "SETAGG.spad" 1850714 1850727 1854175 1854180) (-1090 "SEQAST.spad" 1850417 1850426 1850704 1850709) (-1089 "SEGXCAT.spad" 1849539 1849552 1850407 1850412) (-1088 "SEG.spad" 1849352 1849363 1849458 1849463) (-1087 "SEGCAT.spad" 1848259 1848270 1849342 1849347) (-1086 "SEGBIND.spad" 1847331 1847342 1848214 1848219) (-1085 "SEGBIND2.spad" 1847027 1847040 1847321 1847326) (-1084 "SEGAST.spad" 1846741 1846750 1847017 1847022) (-1083 "SEG2.spad" 1846166 1846179 1846697 1846702) (-1082 "SDVAR.spad" 1845442 1845453 1846156 1846161) (-1081 "SDPOL.spad" 1842832 1842843 1843123 1843250) (-1080 "SCPKG.spad" 1840911 1840922 1842822 1842827) (-1079 "SCOPE.spad" 1840064 1840073 1840901 1840906) (-1078 "SCACHE.spad" 1838746 1838757 1840054 1840059) (-1077 "SASTCAT.spad" 1838655 1838664 1838736 1838741) (-1076 "SAOS.spad" 1838527 1838536 1838645 1838650) (-1075 "SAERFFC.spad" 1838240 1838260 1838517 1838522) (-1074 "SAE.spad" 1836415 1836431 1837026 1837161) (-1073 "SAEFACT.spad" 1836116 1836136 1836405 1836410) (-1072 "RURPK.spad" 1833757 1833773 1836106 1836111) (-1071 "RULESET.spad" 1833198 1833222 1833747 1833752) (-1070 "RULE.spad" 1831402 1831426 1833188 1833193) (-1069 "RULECOLD.spad" 1831254 1831267 1831392 1831397) (-1068 "RTVALUE.spad" 1830987 1830996 1831244 1831249) (-1067 "RSTRCAST.spad" 1830704 1830713 1830977 1830982) (-1066 "RSETGCD.spad" 1827082 1827102 1830694 1830699) (-1065 "RSETCAT.spad" 1816866 1816883 1827050 1827077) (-1064 "RSETCAT.spad" 1806670 1806689 1816856 1816861) (-1063 "RSDCMPK.spad" 1805122 1805142 1806660 1806665) (-1062 "RRCC.spad" 1803506 1803536 1805112 1805117) (-1061 "RRCC.spad" 1801888 1801920 1803496 1803501) (-1060 "RPTAST.spad" 1801590 1801599 1801878 1801883) (-1059 "RPOLCAT.spad" 1780950 1780965 1801458 1801585) (-1058 "RPOLCAT.spad" 1760024 1760041 1780534 1780539) (-1057 "ROUTINE.spad" 1755887 1755896 1758671 1758698) (-1056 "ROMAN.spad" 1755215 1755224 1755753 1755882) (-1055 "ROIRC.spad" 1754295 1754327 1755205 1755210) (-1054 "RNS.spad" 1753198 1753207 1754197 1754290) (-1053 "RNS.spad" 1752187 1752198 1753188 1753193) (-1052 "RNG.spad" 1751922 1751931 1752177 1752182) (-1051 "RMODULE.spad" 1751560 1751571 1751912 1751917) (-1050 "RMCAT2.spad" 1750968 1751025 1751550 1751555) (-1049 "RMATRIX.spad" 1749792 1749811 1750135 1750174) (-1048 "RMATCAT.spad" 1745325 1745356 1749748 1749787) (-1047 "RMATCAT.spad" 1740748 1740781 1745173 1745178) (-1046 "RINTERP.spad" 1740636 1740656 1740738 1740743) (-1045 "RING.spad" 1740106 1740115 1740616 1740631) (-1044 "RING.spad" 1739584 1739595 1740096 1740101) (-1043 "RIDIST.spad" 1738968 1738977 1739574 1739579) (-1042 "RGCHAIN.spad" 1737547 1737563 1738453 1738480) (-1041 "RGBCSPC.spad" 1737328 1737340 1737537 1737542) (-1040 "RGBCMDL.spad" 1736858 1736870 1737318 1737323) (-1039 "RF.spad" 1734472 1734483 1736848 1736853) (-1038 "RFFACTOR.spad" 1733934 1733945 1734462 1734467) (-1037 "RFFACT.spad" 1733669 1733681 1733924 1733929) (-1036 "RFDIST.spad" 1732657 1732666 1733659 1733664) (-1035 "RETSOL.spad" 1732074 1732087 1732647 1732652) (-1034 "RETRACT.spad" 1731502 1731513 1732064 1732069) (-1033 "RETRACT.spad" 1730928 1730941 1731492 1731497) (-1032 "RETAST.spad" 1730740 1730749 1730918 1730923) (-1031 "RESULT.spad" 1728800 1728809 1729387 1729414) (-1030 "RESRING.spad" 1728147 1728194 1728738 1728795) (-1029 "RESLATC.spad" 1727471 1727482 1728137 1728142) (-1028 "REPSQ.spad" 1727200 1727211 1727461 1727466) (-1027 "REP.spad" 1724752 1724761 1727190 1727195) (-1026 "REPDB.spad" 1724457 1724468 1724742 1724747) (-1025 "REP2.spad" 1714029 1714040 1724299 1724304) (-1024 "REP1.spad" 1708019 1708030 1713979 1713984) (-1023 "REGSET.spad" 1705816 1705833 1707665 1707692) (-1022 "REF.spad" 1705145 1705156 1705771 1705776) (-1021 "REDORDER.spad" 1704321 1704338 1705135 1705140) (-1020 "RECLOS.spad" 1703104 1703124 1703808 1703901) (-1019 "REALSOLV.spad" 1702236 1702245 1703094 1703099) (-1018 "REAL.spad" 1702108 1702117 1702226 1702231) (-1017 "REAL0Q.spad" 1699390 1699405 1702098 1702103) (-1016 "REAL0.spad" 1696218 1696233 1699380 1699385) (-1015 "RDUCEAST.spad" 1695939 1695948 1696208 1696213) (-1014 "RDIV.spad" 1695590 1695615 1695929 1695934) (-1013 "RDIST.spad" 1695153 1695164 1695580 1695585) (-1012 "RDETRS.spad" 1693949 1693967 1695143 1695148) (-1011 "RDETR.spad" 1692056 1692074 1693939 1693944) (-1010 "RDEEFS.spad" 1691129 1691146 1692046 1692051) (-1009 "RDEEF.spad" 1690125 1690142 1691119 1691124) (-1008 "RCFIELD.spad" 1687311 1687320 1690027 1690120) (-1007 "RCFIELD.spad" 1684583 1684594 1687301 1687306) (-1006 "RCAGG.spad" 1682495 1682506 1684573 1684578) (-1005 "RCAGG.spad" 1680334 1680347 1682414 1682419) (-1004 "RATRET.spad" 1679694 1679705 1680324 1680329) (-1003 "RATFACT.spad" 1679386 1679398 1679684 1679689) (-1002 "RANDSRC.spad" 1678705 1678714 1679376 1679381) (-1001 "RADUTIL.spad" 1678459 1678468 1678695 1678700) (-1000 "RADIX.spad" 1675360 1675374 1676926 1677019) (-999 "RADFF.spad" 1673774 1673810 1673892 1674048) (-998 "RADCAT.spad" 1673368 1673376 1673764 1673769) (-997 "RADCAT.spad" 1672960 1672970 1673358 1673363) (-996 "QUEUE.spad" 1672303 1672313 1672567 1672594) (-995 "QUAT.spad" 1670885 1670895 1671227 1671292) (-994 "QUATCT2.spad" 1670504 1670522 1670875 1670880) (-993 "QUATCAT.spad" 1668669 1668679 1670434 1670499) (-992 "QUATCAT.spad" 1666585 1666597 1668352 1668357) (-991 "QUAGG.spad" 1665411 1665421 1666553 1666580) (-990 "QQUTAST.spad" 1665180 1665188 1665401 1665406) (-989 "QFORM.spad" 1664643 1664657 1665170 1665175) (-988 "QFCAT.spad" 1663346 1663356 1664545 1664638) (-987 "QFCAT.spad" 1661640 1661652 1662841 1662846) (-986 "QFCAT2.spad" 1661331 1661347 1661630 1661635) (-985 "QEQUAT.spad" 1660888 1660896 1661321 1661326) (-984 "QCMPACK.spad" 1655635 1655654 1660878 1660883) (-983 "QALGSET.spad" 1651710 1651742 1655549 1655554) (-982 "QALGSET2.spad" 1649706 1649724 1651700 1651705) (-981 "PWFFINTB.spad" 1647016 1647037 1649696 1649701) (-980 "PUSHVAR.spad" 1646345 1646364 1647006 1647011) (-979 "PTRANFN.spad" 1642471 1642481 1646335 1646340) (-978 "PTPACK.spad" 1639559 1639569 1642461 1642466) (-977 "PTFUNC2.spad" 1639380 1639394 1639549 1639554) (-976 "PTCAT.spad" 1638629 1638639 1639348 1639375) (-975 "PSQFR.spad" 1637936 1637960 1638619 1638624) (-974 "PSEUDLIN.spad" 1636794 1636804 1637926 1637931) (-973 "PSETPK.spad" 1622227 1622243 1636672 1636677) (-972 "PSETCAT.spad" 1616147 1616170 1622207 1622222) (-971 "PSETCAT.spad" 1610041 1610066 1616103 1616108) (-970 "PSCURVE.spad" 1609024 1609032 1610031 1610036) (-969 "PSCAT.spad" 1607791 1607820 1608922 1609019) (-968 "PSCAT.spad" 1606648 1606679 1607781 1607786) (-967 "PRTITION.spad" 1605593 1605601 1606638 1606643) (-966 "PRTDAST.spad" 1605312 1605320 1605583 1605588) (-965 "PRS.spad" 1594874 1594891 1605268 1605273) (-964 "PRQAGG.spad" 1594305 1594315 1594842 1594869) (-963 "PROPLOG.spad" 1593708 1593716 1594295 1594300) (-962 "PROPFRML.spad" 1592516 1592527 1593698 1593703) (-961 "PROPERTY.spad" 1592010 1592018 1592506 1592511) (-960 "PRODUCT.spad" 1589690 1589702 1589976 1590031) (-959 "PR.spad" 1588076 1588088 1588781 1588908) (-958 "PRINT.spad" 1587828 1587836 1588066 1588071) (-957 "PRIMES.spad" 1586079 1586089 1587818 1587823) (-956 "PRIMELT.spad" 1584060 1584074 1586069 1586074) (-955 "PRIMCAT.spad" 1583683 1583691 1584050 1584055) (-954 "PRIMARR.spad" 1582688 1582698 1582866 1582893) (-953 "PRIMARR2.spad" 1581411 1581423 1582678 1582683) (-952 "PREASSOC.spad" 1580783 1580795 1581401 1581406) (-951 "PPCURVE.spad" 1579920 1579928 1580773 1580778) (-950 "PORTNUM.spad" 1579695 1579703 1579910 1579915) (-949 "POLYROOT.spad" 1578524 1578546 1579651 1579656) (-948 "POLY.spad" 1575821 1575831 1576338 1576465) (-947 "POLYLIFT.spad" 1575082 1575105 1575811 1575816) (-946 "POLYCATQ.spad" 1573184 1573206 1575072 1575077) (-945 "POLYCAT.spad" 1566590 1566611 1573052 1573179) (-944 "POLYCAT.spad" 1559298 1559321 1565762 1565767) (-943 "POLY2UP.spad" 1558746 1558760 1559288 1559293) (-942 "POLY2.spad" 1558341 1558353 1558736 1558741) (-941 "POLUTIL.spad" 1557282 1557311 1558297 1558302) (-940 "POLTOPOL.spad" 1556030 1556045 1557272 1557277) (-939 "POINT.spad" 1554869 1554879 1554956 1554983) (-938 "PNTHEORY.spad" 1551535 1551543 1554859 1554864) (-937 "PMTOOLS.spad" 1550292 1550306 1551525 1551530) (-936 "PMSYM.spad" 1549837 1549847 1550282 1550287) (-935 "PMQFCAT.spad" 1549424 1549438 1549827 1549832) (-934 "PMPRED.spad" 1548893 1548907 1549414 1549419) (-933 "PMPREDFS.spad" 1548337 1548359 1548883 1548888) (-932 "PMPLCAT.spad" 1547407 1547425 1548269 1548274) (-931 "PMLSAGG.spad" 1546988 1547002 1547397 1547402) (-930 "PMKERNEL.spad" 1546555 1546567 1546978 1546983) (-929 "PMINS.spad" 1546131 1546141 1546545 1546550) (-928 "PMFS.spad" 1545704 1545722 1546121 1546126) (-927 "PMDOWN.spad" 1544990 1545004 1545694 1545699) (-926 "PMASS.spad" 1544002 1544010 1544980 1544985) (-925 "PMASSFS.spad" 1542971 1542987 1543992 1543997) (-924 "PLOTTOOL.spad" 1542751 1542759 1542961 1542966) (-923 "PLOT.spad" 1537582 1537590 1542741 1542746) (-922 "PLOT3D.spad" 1534002 1534010 1537572 1537577) (-921 "PLOT1.spad" 1533143 1533153 1533992 1533997) (-920 "PLEQN.spad" 1520359 1520386 1533133 1533138) (-919 "PINTERP.spad" 1519975 1519994 1520349 1520354) (-918 "PINTERPA.spad" 1519757 1519773 1519965 1519970) (-917 "PI.spad" 1519364 1519372 1519731 1519752) (-916 "PID.spad" 1518320 1518328 1519290 1519359) (-915 "PICOERCE.spad" 1517977 1517987 1518310 1518315) (-914 "PGROEB.spad" 1516574 1516588 1517967 1517972) (-913 "PGE.spad" 1507827 1507835 1516564 1516569) (-912 "PGCD.spad" 1506709 1506726 1507817 1507822) (-911 "PFRPAC.spad" 1505852 1505862 1506699 1506704) (-910 "PFR.spad" 1502509 1502519 1505754 1505847) (-909 "PFOTOOLS.spad" 1501767 1501783 1502499 1502504) (-908 "PFOQ.spad" 1501137 1501155 1501757 1501762) (-907 "PFO.spad" 1500556 1500583 1501127 1501132) (-906 "PF.spad" 1500130 1500142 1500361 1500454) (-905 "PFECAT.spad" 1497796 1497804 1500056 1500125) (-904 "PFECAT.spad" 1495490 1495500 1497752 1497757) (-903 "PFBRU.spad" 1493360 1493372 1495480 1495485) (-902 "PFBR.spad" 1490898 1490921 1493350 1493355) (-901 "PERM.spad" 1486579 1486589 1490728 1490743) (-900 "PERMGRP.spad" 1481315 1481325 1486569 1486574) (-899 "PERMCAT.spad" 1479867 1479877 1481295 1481310) (-898 "PERMAN.spad" 1478399 1478413 1479857 1479862) (-897 "PENDTREE.spad" 1477738 1477748 1478028 1478033) (-896 "PDRING.spad" 1476229 1476239 1477718 1477733) (-895 "PDRING.spad" 1474728 1474740 1476219 1476224) (-894 "PDEPROB.spad" 1473743 1473751 1474718 1474723) (-893 "PDEPACK.spad" 1467745 1467753 1473733 1473738) (-892 "PDECOMP.spad" 1467207 1467224 1467735 1467740) (-891 "PDECAT.spad" 1465561 1465569 1467197 1467202) (-890 "PCOMP.spad" 1465412 1465425 1465551 1465556) (-889 "PBWLB.spad" 1463994 1464011 1465402 1465407) (-888 "PATTERN.spad" 1458425 1458435 1463984 1463989) (-887 "PATTERN2.spad" 1458161 1458173 1458415 1458420) (-886 "PATTERN1.spad" 1456463 1456479 1458151 1458156) (-885 "PATRES.spad" 1454010 1454022 1456453 1456458) (-884 "PATRES2.spad" 1453672 1453686 1454000 1454005) (-883 "PATMATCH.spad" 1451829 1451860 1453380 1453385) (-882 "PATMAB.spad" 1451254 1451264 1451819 1451824) (-881 "PATLRES.spad" 1450338 1450352 1451244 1451249) (-880 "PATAB.spad" 1450102 1450112 1450328 1450333) (-879 "PARTPERM.spad" 1447464 1447472 1450092 1450097) (-878 "PARSURF.spad" 1446892 1446920 1447454 1447459) (-877 "PARSU2.spad" 1446687 1446703 1446882 1446887) (-876 "script-parser.spad" 1446207 1446215 1446677 1446682) (-875 "PARSCURV.spad" 1445635 1445663 1446197 1446202) (-874 "PARSC2.spad" 1445424 1445440 1445625 1445630) (-873 "PARPCURV.spad" 1444882 1444910 1445414 1445419) (-872 "PARPC2.spad" 1444671 1444687 1444872 1444877) (-871 "PAN2EXPR.spad" 1444083 1444091 1444661 1444666) (-870 "PALETTE.spad" 1443053 1443061 1444073 1444078) (-869 "PAIR.spad" 1442036 1442049 1442641 1442646) (-868 "PADICRC.spad" 1439366 1439384 1440541 1440634) (-867 "PADICRAT.spad" 1437381 1437393 1437602 1437695) (-866 "PADIC.spad" 1437076 1437088 1437307 1437376) (-865 "PADICCT.spad" 1435617 1435629 1437002 1437071) (-864 "PADEPAC.spad" 1434296 1434315 1435607 1435612) (-863 "PADE.spad" 1433036 1433052 1434286 1434291) (-862 "OWP.spad" 1432276 1432306 1432894 1432961) (-861 "OVERSET.spad" 1431849 1431857 1432266 1432271) (-860 "OVAR.spad" 1431630 1431653 1431839 1431844) (-859 "OUT.spad" 1430714 1430722 1431620 1431625) (-858 "OUTFORM.spad" 1420010 1420018 1430704 1430709) (-857 "OUTBFILE.spad" 1419428 1419436 1420000 1420005) (-856 "OUTBCON.spad" 1418426 1418434 1419418 1419423) (-855 "OUTBCON.spad" 1417422 1417432 1418416 1418421) (-854 "OSI.spad" 1416897 1416905 1417412 1417417) (-853 "OSGROUP.spad" 1416815 1416823 1416887 1416892) (-852 "ORTHPOL.spad" 1415276 1415286 1416732 1416737) (-851 "OREUP.spad" 1414729 1414757 1414956 1414995) (-850 "ORESUP.spad" 1414028 1414052 1414409 1414448) (-849 "OREPCTO.spad" 1411847 1411859 1413948 1413953) (-848 "OREPCAT.spad" 1405904 1405914 1411803 1411842) (-847 "OREPCAT.spad" 1399851 1399863 1405752 1405757) (-846 "ORDSET.spad" 1399017 1399025 1399841 1399846) (-845 "ORDSET.spad" 1398181 1398191 1399007 1399012) (-844 "ORDRING.spad" 1397571 1397579 1398161 1398176) (-843 "ORDRING.spad" 1396969 1396979 1397561 1397566) (-842 "ORDMON.spad" 1396824 1396832 1396959 1396964) (-841 "ORDFUNS.spad" 1395950 1395966 1396814 1396819) (-840 "ORDFIN.spad" 1395770 1395778 1395940 1395945) (-839 "ORDCOMP.spad" 1394235 1394245 1395317 1395346) (-838 "ORDCOMP2.spad" 1393520 1393532 1394225 1394230) (-837 "OPTPROB.spad" 1392158 1392166 1393510 1393515) (-836 "OPTPACK.spad" 1384543 1384551 1392148 1392153) (-835 "OPTCAT.spad" 1382218 1382226 1384533 1384538) (-834 "OPSIG.spad" 1381870 1381878 1382208 1382213) (-833 "OPQUERY.spad" 1381419 1381427 1381860 1381865) (-832 "OP.spad" 1381161 1381171 1381241 1381308) (-831 "OPERCAT.spad" 1380749 1380759 1381151 1381156) (-830 "OPERCAT.spad" 1380335 1380347 1380739 1380744) (-829 "ONECOMP.spad" 1379080 1379090 1379882 1379911) (-828 "ONECOMP2.spad" 1378498 1378510 1379070 1379075) (-827 "OMSERVER.spad" 1377500 1377508 1378488 1378493) (-826 "OMSAGG.spad" 1377288 1377298 1377456 1377495) (-825 "OMPKG.spad" 1375900 1375908 1377278 1377283) (-824 "OM.spad" 1374865 1374873 1375890 1375895) (-823 "OMLO.spad" 1374290 1374302 1374751 1374790) (-822 "OMEXPR.spad" 1374124 1374134 1374280 1374285) (-821 "OMERR.spad" 1373667 1373675 1374114 1374119) (-820 "OMERRK.spad" 1372701 1372709 1373657 1373662) (-819 "OMENC.spad" 1372045 1372053 1372691 1372696) (-818 "OMDEV.spad" 1366334 1366342 1372035 1372040) (-817 "OMCONN.spad" 1365743 1365751 1366324 1366329) (-816 "OINTDOM.spad" 1365506 1365514 1365669 1365738) (-815 "OFMONOID.spad" 1361693 1361703 1365496 1365501) (-814 "ODVAR.spad" 1360954 1360964 1361683 1361688) (-813 "ODR.spad" 1360598 1360624 1360766 1360915) (-812 "ODPOL.spad" 1357944 1357954 1358284 1358411) (-811 "ODP.spad" 1347791 1347811 1348164 1348295) (-810 "ODETOOLS.spad" 1346374 1346393 1347781 1347786) (-809 "ODESYS.spad" 1344024 1344041 1346364 1346369) (-808 "ODERTRIC.spad" 1339965 1339982 1343981 1343986) (-807 "ODERED.spad" 1339352 1339376 1339955 1339960) (-806 "ODERAT.spad" 1336903 1336920 1339342 1339347) (-805 "ODEPRRIC.spad" 1333794 1333816 1336893 1336898) (-804 "ODEPROB.spad" 1333051 1333059 1333784 1333789) (-803 "ODEPRIM.spad" 1330325 1330347 1333041 1333046) (-802 "ODEPAL.spad" 1329701 1329725 1330315 1330320) (-801 "ODEPACK.spad" 1316303 1316311 1329691 1329696) (-800 "ODEINT.spad" 1315734 1315750 1316293 1316298) (-799 "ODEIFTBL.spad" 1313129 1313137 1315724 1315729) (-798 "ODEEF.spad" 1308496 1308512 1313119 1313124) (-797 "ODECONST.spad" 1308015 1308033 1308486 1308491) (-796 "ODECAT.spad" 1306611 1306619 1308005 1308010) (-795 "OCT.spad" 1304749 1304759 1305465 1305504) (-794 "OCTCT2.spad" 1304393 1304414 1304739 1304744) (-793 "OC.spad" 1302167 1302177 1304349 1304388) (-792 "OC.spad" 1299666 1299678 1301850 1301855) (-791 "OCAMON.spad" 1299514 1299522 1299656 1299661) (-790 "OASGP.spad" 1299329 1299337 1299504 1299509) (-789 "OAMONS.spad" 1298849 1298857 1299319 1299324) (-788 "OAMON.spad" 1298710 1298718 1298839 1298844) (-787 "OAGROUP.spad" 1298572 1298580 1298700 1298705) (-786 "NUMTUBE.spad" 1298159 1298175 1298562 1298567) (-785 "NUMQUAD.spad" 1286021 1286029 1298149 1298154) (-784 "NUMODE.spad" 1277157 1277165 1286011 1286016) (-783 "NUMINT.spad" 1274715 1274723 1277147 1277152) (-782 "NUMFMT.spad" 1273555 1273563 1274705 1274710) (-781 "NUMERIC.spad" 1265627 1265637 1273360 1273365) (-780 "NTSCAT.spad" 1264129 1264145 1265595 1265622) (-779 "NTPOLFN.spad" 1263674 1263684 1264046 1264051) (-778 "NSUP.spad" 1256684 1256694 1261224 1261377) (-777 "NSUP2.spad" 1256076 1256088 1256674 1256679) (-776 "NSMP.spad" 1252271 1252290 1252579 1252706) (-775 "NREP.spad" 1250643 1250657 1252261 1252266) (-774 "NPCOEF.spad" 1249889 1249909 1250633 1250638) (-773 "NORMRETR.spad" 1249487 1249526 1249879 1249884) (-772 "NORMPK.spad" 1247389 1247408 1249477 1249482) (-771 "NORMMA.spad" 1247077 1247103 1247379 1247384) (-770 "NONE.spad" 1246818 1246826 1247067 1247072) (-769 "NONE1.spad" 1246494 1246504 1246808 1246813) (-768 "NODE1.spad" 1245963 1245979 1246484 1246489) (-767 "NNI.spad" 1244850 1244858 1245937 1245958) (-766 "NLINSOL.spad" 1243472 1243482 1244840 1244845) (-765 "NIPROB.spad" 1242013 1242021 1243462 1243467) (-764 "NFINTBAS.spad" 1239473 1239490 1242003 1242008) (-763 "NETCLT.spad" 1239447 1239458 1239463 1239468) (-762 "NCODIV.spad" 1237645 1237661 1239437 1239442) (-761 "NCNTFRAC.spad" 1237287 1237301 1237635 1237640) (-760 "NCEP.spad" 1235447 1235461 1237277 1237282) (-759 "NASRING.spad" 1235043 1235051 1235437 1235442) (-758 "NASRING.spad" 1234637 1234647 1235033 1235038) (-757 "NARNG.spad" 1233981 1233989 1234627 1234632) (-756 "NARNG.spad" 1233323 1233333 1233971 1233976) (-755 "NAGSP.spad" 1232396 1232404 1233313 1233318) (-754 "NAGS.spad" 1221921 1221929 1232386 1232391) (-753 "NAGF07.spad" 1220314 1220322 1221911 1221916) (-752 "NAGF04.spad" 1214546 1214554 1220304 1220309) (-751 "NAGF02.spad" 1208355 1208363 1214536 1214541) (-750 "NAGF01.spad" 1203958 1203966 1208345 1208350) (-749 "NAGE04.spad" 1197418 1197426 1203948 1203953) (-748 "NAGE02.spad" 1187760 1187768 1197408 1197413) (-747 "NAGE01.spad" 1183644 1183652 1187750 1187755) (-746 "NAGD03.spad" 1181564 1181572 1183634 1183639) (-745 "NAGD02.spad" 1174095 1174103 1181554 1181559) (-744 "NAGD01.spad" 1168208 1168216 1174085 1174090) (-743 "NAGC06.spad" 1163995 1164003 1168198 1168203) (-742 "NAGC05.spad" 1162464 1162472 1163985 1163990) (-741 "NAGC02.spad" 1161719 1161727 1162454 1162459) (-740 "NAALG.spad" 1161254 1161264 1161687 1161714) (-739 "NAALG.spad" 1160809 1160821 1161244 1161249) (-738 "MULTSQFR.spad" 1157767 1157784 1160799 1160804) (-737 "MULTFACT.spad" 1157150 1157167 1157757 1157762) (-736 "MTSCAT.spad" 1155184 1155205 1157048 1157145) (-735 "MTHING.spad" 1154841 1154851 1155174 1155179) (-734 "MSYSCMD.spad" 1154275 1154283 1154831 1154836) (-733 "MSET.spad" 1152217 1152227 1153981 1154020) (-732 "MSETAGG.spad" 1152062 1152072 1152185 1152212) (-731 "MRING.spad" 1149033 1149045 1151770 1151837) (-730 "MRF2.spad" 1148601 1148615 1149023 1149028) (-729 "MRATFAC.spad" 1148147 1148164 1148591 1148596) (-728 "MPRFF.spad" 1146177 1146196 1148137 1148142) (-727 "MPOLY.spad" 1143612 1143627 1143971 1144098) (-726 "MPCPF.spad" 1142876 1142895 1143602 1143607) (-725 "MPC3.spad" 1142691 1142731 1142866 1142871) (-724 "MPC2.spad" 1142333 1142366 1142681 1142686) (-723 "MONOTOOL.spad" 1140668 1140685 1142323 1142328) (-722 "MONOID.spad" 1139987 1139995 1140658 1140663) (-721 "MONOID.spad" 1139304 1139314 1139977 1139982) (-720 "MONOGEN.spad" 1138050 1138063 1139164 1139299) (-719 "MONOGEN.spad" 1136818 1136833 1137934 1137939) (-718 "MONADWU.spad" 1134832 1134840 1136808 1136813) (-717 "MONADWU.spad" 1132844 1132854 1134822 1134827) (-716 "MONAD.spad" 1131988 1131996 1132834 1132839) (-715 "MONAD.spad" 1131130 1131140 1131978 1131983) (-714 "MOEBIUS.spad" 1129816 1129830 1131110 1131125) (-713 "MODULE.spad" 1129686 1129696 1129784 1129811) (-712 "MODULE.spad" 1129576 1129588 1129676 1129681) (-711 "MODRING.spad" 1128907 1128946 1129556 1129571) (-710 "MODOP.spad" 1127566 1127578 1128729 1128796) (-709 "MODMONOM.spad" 1127295 1127313 1127556 1127561) (-708 "MODMON.spad" 1124054 1124070 1124773 1124926) (-707 "MODFIELD.spad" 1123412 1123451 1123956 1124049) (-706 "MMLFORM.spad" 1122272 1122280 1123402 1123407) (-705 "MMAP.spad" 1122012 1122046 1122262 1122267) (-704 "MLO.spad" 1120439 1120449 1121968 1122007) (-703 "MLIFT.spad" 1119011 1119028 1120429 1120434) (-702 "MKUCFUNC.spad" 1118544 1118562 1119001 1119006) (-701 "MKRECORD.spad" 1118146 1118159 1118534 1118539) (-700 "MKFUNC.spad" 1117527 1117537 1118136 1118141) (-699 "MKFLCFN.spad" 1116483 1116493 1117517 1117522) (-698 "MKBCFUNC.spad" 1115968 1115986 1116473 1116478) (-697 "MINT.spad" 1115407 1115415 1115870 1115963) (-696 "MHROWRED.spad" 1113908 1113918 1115397 1115402) (-695 "MFLOAT.spad" 1112424 1112432 1113798 1113903) (-694 "MFINFACT.spad" 1111824 1111846 1112414 1112419) (-693 "MESH.spad" 1109556 1109564 1111814 1111819) (-692 "MDDFACT.spad" 1107749 1107759 1109546 1109551) (-691 "MDAGG.spad" 1107036 1107046 1107729 1107744) (-690 "MCMPLX.spad" 1103010 1103018 1103624 1103825) (-689 "MCDEN.spad" 1102218 1102230 1103000 1103005) (-688 "MCALCFN.spad" 1099320 1099346 1102208 1102213) (-687 "MAYBE.spad" 1098604 1098615 1099310 1099315) (-686 "MATSTOR.spad" 1095880 1095890 1098594 1098599) (-685 "MATRIX.spad" 1094584 1094594 1095068 1095095) (-684 "MATLIN.spad" 1091910 1091934 1094468 1094473) (-683 "MATCAT.spad" 1083495 1083517 1091878 1091905) (-682 "MATCAT.spad" 1074952 1074976 1083337 1083342) (-681 "MATCAT2.spad" 1074220 1074268 1074942 1074947) (-680 "MAPPKG3.spad" 1073119 1073133 1074210 1074215) (-679 "MAPPKG2.spad" 1072453 1072465 1073109 1073114) (-678 "MAPPKG1.spad" 1071271 1071281 1072443 1072448) (-677 "MAPPAST.spad" 1070584 1070592 1071261 1071266) (-676 "MAPHACK3.spad" 1070392 1070406 1070574 1070579) (-675 "MAPHACK2.spad" 1070157 1070169 1070382 1070387) (-674 "MAPHACK1.spad" 1069787 1069797 1070147 1070152) (-673 "MAGMA.spad" 1067577 1067594 1069777 1069782) (-672 "MACROAST.spad" 1067156 1067164 1067567 1067572) (-671 "M3D.spad" 1064852 1064862 1066534 1066539) (-670 "LZSTAGG.spad" 1062080 1062090 1064842 1064847) (-669 "LZSTAGG.spad" 1059306 1059318 1062070 1062075) (-668 "LWORD.spad" 1056011 1056028 1059296 1059301) (-667 "LSTAST.spad" 1055795 1055803 1056001 1056006) (-666 "LSQM.spad" 1054021 1054035 1054419 1054470) (-665 "LSPP.spad" 1053554 1053571 1054011 1054016) (-664 "LSMP.spad" 1052394 1052422 1053544 1053549) (-663 "LSMP1.spad" 1050198 1050212 1052384 1052389) (-662 "LSAGG.spad" 1049867 1049877 1050166 1050193) (-661 "LSAGG.spad" 1049556 1049568 1049857 1049862) (-660 "LPOLY.spad" 1048510 1048529 1049412 1049481) (-659 "LPEFRAC.spad" 1047767 1047777 1048500 1048505) (-658 "LO.spad" 1047168 1047182 1047701 1047728) (-657 "LOGIC.spad" 1046770 1046778 1047158 1047163) (-656 "LOGIC.spad" 1046370 1046380 1046760 1046765) (-655 "LODOOPS.spad" 1045288 1045300 1046360 1046365) (-654 "LODO.spad" 1044672 1044688 1044968 1045007) (-653 "LODOF.spad" 1043716 1043733 1044629 1044634) (-652 "LODOCAT.spad" 1042374 1042384 1043672 1043711) (-651 "LODOCAT.spad" 1041030 1041042 1042330 1042335) (-650 "LODO2.spad" 1040303 1040315 1040710 1040749) (-649 "LODO1.spad" 1039703 1039713 1039983 1040022) (-648 "LODEEF.spad" 1038475 1038493 1039693 1039698) (-647 "LNAGG.spad" 1034277 1034287 1038465 1038470) (-646 "LNAGG.spad" 1030043 1030055 1034233 1034238) (-645 "LMOPS.spad" 1026779 1026796 1030033 1030038) (-644 "LMODULE.spad" 1026421 1026431 1026769 1026774) (-643 "LMDICT.spad" 1025704 1025714 1025972 1025999) (-642 "LITERAL.spad" 1025610 1025621 1025694 1025699) (-641 "LIST.spad" 1023328 1023338 1024757 1024784) (-640 "LIST3.spad" 1022619 1022633 1023318 1023323) (-639 "LIST2.spad" 1021259 1021271 1022609 1022614) (-638 "LIST2MAP.spad" 1018136 1018148 1021249 1021254) (-637 "LINEXP.spad" 1017568 1017578 1018116 1018131) (-636 "LINDEP.spad" 1016345 1016357 1017480 1017485) (-635 "LIMITRF.spad" 1014259 1014269 1016335 1016340) (-634 "LIMITPS.spad" 1013142 1013155 1014249 1014254) (-633 "LIE.spad" 1011156 1011168 1012432 1012577) (-632 "LIECAT.spad" 1010632 1010642 1011082 1011151) (-631 "LIECAT.spad" 1010136 1010148 1010588 1010593) (-630 "LIB.spad" 1008184 1008192 1008795 1008810) (-629 "LGROBP.spad" 1005537 1005556 1008174 1008179) (-628 "LF.spad" 1004456 1004472 1005527 1005532) (-627 "LFCAT.spad" 1003475 1003483 1004446 1004451) (-626 "LEXTRIPK.spad" 998978 998993 1003465 1003470) (-625 "LEXP.spad" 996981 997008 998958 998973) (-624 "LETAST.spad" 996680 996688 996971 996976) (-623 "LEADCDET.spad" 995064 995081 996670 996675) (-622 "LAZM3PK.spad" 993768 993790 995054 995059) (-621 "LAUPOL.spad" 992457 992470 993361 993430) (-620 "LAPLACE.spad" 992030 992046 992447 992452) (-619 "LA.spad" 991470 991484 991952 991991) (-618 "LALG.spad" 991246 991256 991450 991465) (-617 "LALG.spad" 991030 991042 991236 991241) (-616 "KVTFROM.spad" 990765 990775 991020 991025) (-615 "KTVLOGIC.spad" 990188 990196 990755 990760) (-614 "KRCFROM.spad" 989926 989936 990178 990183) (-613 "KOVACIC.spad" 988639 988656 989916 989921) (-612 "KONVERT.spad" 988361 988371 988629 988634) (-611 "KOERCE.spad" 988098 988108 988351 988356) (-610 "KERNEL.spad" 986633 986643 987882 987887) (-609 "KERNEL2.spad" 986336 986348 986623 986628) (-608 "KDAGG.spad" 985439 985461 986316 986331) (-607 "KDAGG.spad" 984550 984574 985429 985434) (-606 "KAFILE.spad" 983513 983529 983748 983775) (-605 "JORDAN.spad" 981340 981352 982803 982948) (-604 "JOINAST.spad" 981034 981042 981330 981335) (-603 "JAVACODE.spad" 980900 980908 981024 981029) (-602 "IXAGG.spad" 979023 979047 980890 980895) (-601 "IXAGG.spad" 977001 977027 978870 978875) (-600 "IVECTOR.spad" 975772 975787 975927 975954) (-599 "ITUPLE.spad" 974917 974927 975762 975767) (-598 "ITRIGMNP.spad" 973728 973747 974907 974912) (-597 "ITFUN3.spad" 973222 973236 973718 973723) (-596 "ITFUN2.spad" 972952 972964 973212 973217) (-595 "ITAYLOR.spad" 970744 970759 972788 972913) (-594 "ISUPS.spad" 963155 963170 969718 969815) (-593 "ISUMP.spad" 962652 962668 963145 963150) (-592 "ISTRING.spad" 961655 961668 961821 961848) (-591 "ISAST.spad" 961374 961382 961645 961650) (-590 "IRURPK.spad" 960087 960106 961364 961369) (-589 "IRSN.spad" 958047 958055 960077 960082) (-588 "IRRF2F.spad" 956522 956532 958003 958008) (-587 "IRREDFFX.spad" 956123 956134 956512 956517) (-586 "IROOT.spad" 954454 954464 956113 956118) (-585 "IR.spad" 952243 952257 954309 954336) (-584 "IR2.spad" 951263 951279 952233 952238) (-583 "IR2F.spad" 950463 950479 951253 951258) (-582 "IPRNTPK.spad" 950223 950231 950453 950458) (-581 "IPF.spad" 949788 949800 950028 950121) (-580 "IPADIC.spad" 949549 949575 949714 949783) (-579 "IP4ADDR.spad" 949106 949114 949539 949544) (-578 "IOMODE.spad" 948727 948735 949096 949101) (-577 "IOBFILE.spad" 948088 948096 948717 948722) (-576 "IOBCON.spad" 947953 947961 948078 948083) (-575 "INVLAPLA.spad" 947598 947614 947943 947948) (-574 "INTTR.spad" 940844 940861 947588 947593) (-573 "INTTOOLS.spad" 938555 938571 940418 940423) (-572 "INTSLPE.spad" 937861 937869 938545 938550) (-571 "INTRVL.spad" 937427 937437 937775 937856) (-570 "INTRF.spad" 935791 935805 937417 937422) (-569 "INTRET.spad" 935223 935233 935781 935786) (-568 "INTRAT.spad" 933898 933915 935213 935218) (-567 "INTPM.spad" 932261 932277 933541 933546) (-566 "INTPAF.spad" 930029 930047 932193 932198) (-565 "INTPACK.spad" 920339 920347 930019 930024) (-564 "INT.spad" 919700 919708 920193 920334) (-563 "INTHERTR.spad" 918966 918983 919690 919695) (-562 "INTHERAL.spad" 918632 918656 918956 918961) (-561 "INTHEORY.spad" 915045 915053 918622 918627) (-560 "INTG0.spad" 908508 908526 914977 914982) (-559 "INTFTBL.spad" 902537 902545 908498 908503) (-558 "INTFACT.spad" 901596 901606 902527 902532) (-557 "INTEF.spad" 899911 899927 901586 901591) 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222591 222596) (-188 "CTRIGMNP.spad" 220508 220524 222008 222013) (-187 "CTOR.spad" 220199 220207 220498 220503) (-186 "CTORKIND.spad" 219802 219810 220189 220194) (-185 "CTORCAT.spad" 219051 219059 219792 219797) (-184 "CTORCAT.spad" 218298 218308 219041 219046) (-183 "CTORCALL.spad" 217878 217886 218288 218293) (-182 "CSTTOOLS.spad" 217121 217134 217868 217873) (-181 "CRFP.spad" 210825 210838 217111 217116) (-180 "CRCEAST.spad" 210545 210553 210815 210820) (-179 "CRAPACK.spad" 209588 209598 210535 210540) (-178 "CPMATCH.spad" 209088 209103 209513 209518) (-177 "CPIMA.spad" 208793 208812 209078 209083) (-176 "COORDSYS.spad" 203686 203696 208783 208788) (-175 "CONTOUR.spad" 203097 203105 203676 203681) (-174 "CONTFRAC.spad" 198709 198719 202999 203092) (-173 "CONDUIT.spad" 198467 198475 198699 198704) (-172 "COMRING.spad" 198141 198149 198405 198462) (-171 "COMPPROP.spad" 197655 197663 198131 198136) (-170 "COMPLPAT.spad" 197422 197437 197645 197650) (-169 "COMPLEX.spad" 191446 191456 191690 191951) (-168 "COMPLEX2.spad" 191159 191171 191436 191441) (-167 "COMPFACT.spad" 190761 190775 191149 191154) (-166 "COMPCAT.spad" 188829 188839 190495 190756) (-165 "COMPCAT.spad" 186590 186602 188258 188263) (-164 "COMMUPC.spad" 186336 186354 186580 186585) (-163 "COMMONOP.spad" 185869 185877 186326 186331) (-162 "COMM.spad" 185678 185686 185859 185864) (-161 "COMMAAST.spad" 185441 185449 185668 185673) (-160 "COMBOPC.spad" 184346 184354 185431 185436) (-159 "COMBINAT.spad" 183091 183101 184336 184341) (-158 "COMBF.spad" 180459 180475 183081 183086) (-157 "COLOR.spad" 179296 179304 180449 180454) (-156 "COLONAST.spad" 178962 178970 179286 179291) (-155 "CMPLXRT.spad" 178671 178688 178952 178957) (-154 "CLLCTAST.spad" 178333 178341 178661 178666) (-153 "CLIP.spad" 174425 174433 178323 178328) (-152 "CLIF.spad" 173064 173080 174381 174420) (-151 "CLAGG.spad" 169549 169559 173054 173059) (-150 "CLAGG.spad" 165905 165917 169412 169417) (-149 "CINTSLPE.spad" 165230 165243 165895 165900) (-148 "CHVAR.spad" 163308 163330 165220 165225) (-147 "CHARZ.spad" 163223 163231 163288 163303) (-146 "CHARPOL.spad" 162731 162741 163213 163218) (-145 "CHARNZ.spad" 162484 162492 162711 162726) (-144 "CHAR.spad" 160352 160360 162474 162479) (-143 "CFCAT.spad" 159668 159676 160342 160347) (-142 "CDEN.spad" 158826 158840 159658 159663) (-141 "CCLASS.spad" 156975 156983 158237 158276) (-140 "CATEGORY.spad" 156065 156073 156965 156970) (-139 "CATCTOR.spad" 155956 155964 156055 156060) (-138 "CATAST.spad" 155574 155582 155946 155951) (-137 "CASEAST.spad" 155288 155296 155564 155569) (-136 "CARTEN.spad" 150391 150415 155278 155283) (-135 "CARTEN2.spad" 149777 149804 150381 150386) (-134 "CARD.spad" 147066 147074 149751 149772) (-133 "CAPSLAST.spad" 146840 146848 147056 147061) (-132 "CACHSET.spad" 146462 146470 146830 146835) (-131 "CABMON.spad" 146015 146023 146452 146457) (-130 "BYTEORD.spad" 145690 145698 146005 146010) (-129 "BYTE.spad" 145115 145123 145680 145685) (-128 "BYTEBUF.spad" 142972 142980 144284 144311) (-127 "BTREE.spad" 142041 142051 142579 142606) (-126 "BTOURN.spad" 141044 141054 141648 141675) (-125 "BTCAT.spad" 140432 140442 141012 141039) (-124 "BTCAT.spad" 139840 139852 140422 140427) (-123 "BTAGG.spad" 138962 138970 139808 139835) (-122 "BTAGG.spad" 138104 138114 138952 138957) (-121 "BSTREE.spad" 136839 136849 137711 137738) (-120 "BRILL.spad" 135034 135045 136829 136834) (-119 "BRAGG.spad" 133958 133968 135024 135029) (-118 "BRAGG.spad" 132846 132858 133914 133919) (-117 "BPADICRT.spad" 130827 130839 131082 131175) (-116 "BPADIC.spad" 130491 130503 130753 130822) (-115 "BOUNDZRO.spad" 130147 130164 130481 130486) (-114 "BOP.spad" 124996 125004 130137 130142) (-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 2283525 2283530 2283535 2283540) (-2 NIL 2283505 2283510 2283515 2283520) (-1 NIL 2283485 2283490 2283495 2283500) (0 NIL 2283465 2283470 2283475 2283480) (-1287 "ZMOD.spad" 2283274 2283287 2283403 2283460) (-1286 "ZLINDEP.spad" 2282318 2282329 2283264 2283269) (-1285 "ZDSOLVE.spad" 2272167 2272189 2282308 2282313) (-1284 "YSTREAM.spad" 2271660 2271671 2272157 2272162) (-1283 "XRPOLY.spad" 2270880 2270900 2271516 2271585) (-1282 "XPR.spad" 2268671 2268684 2270598 2270697) (-1281 "XPOLY.spad" 2268226 2268237 2268527 2268596) (-1280 "XPOLYC.spad" 2267543 2267559 2268152 2268221) (-1279 "XPBWPOLY.spad" 2265980 2266000 2267323 2267392) (-1278 "XF.spad" 2264441 2264456 2265882 2265975) (-1277 "XF.spad" 2262882 2262899 2264325 2264330) (-1276 "XFALG.spad" 2259906 2259922 2262808 2262877) (-1275 "XEXPPKG.spad" 2259157 2259183 2259896 2259901) (-1274 "XDPOLY.spad" 2258771 2258787 2259013 2259082) (-1273 "XALG.spad" 2258431 2258442 2258727 2258766) (-1272 "WUTSET.spad" 2254270 2254287 2258077 2258104) (-1271 "WP.spad" 2253469 2253513 2254128 2254195) (-1270 "WHILEAST.spad" 2253267 2253276 2253459 2253464) (-1269 "WHEREAST.spad" 2252938 2252947 2253257 2253262) (-1268 "WFFINTBS.spad" 2250501 2250523 2252928 2252933) (-1267 "WEIER.spad" 2248715 2248726 2250491 2250496) (-1266 "VSPACE.spad" 2248388 2248399 2248683 2248710) (-1265 "VSPACE.spad" 2248081 2248094 2248378 2248383) (-1264 "VOID.spad" 2247758 2247767 2248071 2248076) (-1263 "VIEW.spad" 2245380 2245389 2247748 2247753) (-1262 "VIEWDEF.spad" 2240577 2240586 2245370 2245375) (-1261 "VIEW3D.spad" 2224412 2224421 2240567 2240572) (-1260 "VIEW2D.spad" 2212149 2212158 2224402 2224407) (-1259 "VECTOR.spad" 2210824 2210835 2211075 2211102) (-1258 "VECTOR2.spad" 2209451 2209464 2210814 2210819) (-1257 "VECTCAT.spad" 2207351 2207362 2209419 2209446) (-1256 "VECTCAT.spad" 2205059 2205072 2207129 2207134) (-1255 "VARIABLE.spad" 2204839 2204854 2205049 2205054) (-1254 "UTYPE.spad" 2204483 2204492 2204829 2204834) (-1253 "UTSODETL.spad" 2203776 2203800 2204439 2204444) (-1252 "UTSODE.spad" 2201964 2201984 2203766 2203771) (-1251 "UTS.spad" 2196753 2196781 2200431 2200528) (-1250 "UTSCAT.spad" 2194204 2194220 2196651 2196748) (-1249 "UTSCAT.spad" 2191299 2191317 2193748 2193753) (-1248 "UTS2.spad" 2190892 2190927 2191289 2191294) (-1247 "URAGG.spad" 2185524 2185535 2190882 2190887) (-1246 "URAGG.spad" 2180120 2180133 2185480 2185485) (-1245 "UPXSSING.spad" 2177763 2177789 2179201 2179334) (-1244 "UPXS.spad" 2174911 2174939 2175895 2176044) (-1243 "UPXSCONS.spad" 2172668 2172688 2173043 2173192) (-1242 "UPXSCCA.spad" 2171233 2171253 2172514 2172663) (-1241 "UPXSCCA.spad" 2169940 2169962 2171223 2171228) (-1240 "UPXSCAT.spad" 2168521 2168537 2169786 2169935) (-1239 "UPXS2.spad" 2168062 2168115 2168511 2168516) (-1238 "UPSQFREE.spad" 2166474 2166488 2168052 2168057) (-1237 "UPSCAT.spad" 2164067 2164091 2166372 2166469) (-1236 "UPSCAT.spad" 2161366 2161392 2163673 2163678) (-1235 "UPOLYC.spad" 2156344 2156355 2161208 2161361) (-1234 "UPOLYC.spad" 2151214 2151227 2156080 2156085) (-1233 "UPOLYC2.spad" 2150683 2150702 2151204 2151209) (-1232 "UP.spad" 2147840 2147855 2148233 2148386) (-1231 "UPMP.spad" 2146730 2146743 2147830 2147835) (-1230 "UPDIVP.spad" 2146293 2146307 2146720 2146725) (-1229 "UPDECOMP.spad" 2144530 2144544 2146283 2146288) (-1228 "UPCDEN.spad" 2143737 2143753 2144520 2144525) (-1227 "UP2.spad" 2143099 2143120 2143727 2143732) (-1226 "UNISEG.spad" 2142452 2142463 2143018 2143023) (-1225 "UNISEG2.spad" 2141945 2141958 2142408 2142413) (-1224 "UNIFACT.spad" 2141046 2141058 2141935 2141940) (-1223 "ULS.spad" 2131598 2131626 2132691 2133120) (-1222 "ULSCONS.spad" 2123992 2124012 2124364 2124513) (-1221 "ULSCCAT.spad" 2121721 2121741 2123838 2123987) (-1220 "ULSCCAT.spad" 2119558 2119580 2121677 2121682) (-1219 "ULSCAT.spad" 2117774 2117790 2119404 2119553) (-1218 "ULS2.spad" 2117286 2117339 2117764 2117769) (-1217 "UINT8.spad" 2117163 2117172 2117276 2117281) (-1216 "UINT64.spad" 2117039 2117048 2117153 2117158) (-1215 "UINT32.spad" 2116915 2116924 2117029 2117034) (-1214 "UINT16.spad" 2116791 2116800 2116905 2116910) (-1213 "UFD.spad" 2115856 2115865 2116717 2116786) (-1212 "UFD.spad" 2114983 2114994 2115846 2115851) (-1211 "UDVO.spad" 2113830 2113839 2114973 2114978) (-1210 "UDPO.spad" 2111257 2111268 2113786 2113791) (-1209 "TYPE.spad" 2111189 2111198 2111247 2111252) (-1208 "TYPEAST.spad" 2111108 2111117 2111179 2111184) (-1207 "TWOFACT.spad" 2109758 2109773 2111098 2111103) (-1206 "TUPLE.spad" 2109242 2109253 2109657 2109662) (-1205 "TUBETOOL.spad" 2106079 2106088 2109232 2109237) (-1204 "TUBE.spad" 2104720 2104737 2106069 2106074) (-1203 "TS.spad" 2103309 2103325 2104285 2104382) (-1202 "TSETCAT.spad" 2090436 2090453 2103277 2103304) (-1201 "TSETCAT.spad" 2077549 2077568 2090392 2090397) (-1200 "TRMANIP.spad" 2071915 2071932 2077255 2077260) (-1199 "TRIMAT.spad" 2070874 2070899 2071905 2071910) (-1198 "TRIGMNIP.spad" 2069391 2069408 2070864 2070869) (-1197 "TRIGCAT.spad" 2068903 2068912 2069381 2069386) (-1196 "TRIGCAT.spad" 2068413 2068424 2068893 2068898) (-1195 "TREE.spad" 2066984 2066995 2068020 2068047) (-1194 "TRANFUN.spad" 2066815 2066824 2066974 2066979) (-1193 "TRANFUN.spad" 2066644 2066655 2066805 2066810) (-1192 "TOPSP.spad" 2066318 2066327 2066634 2066639) (-1191 "TOOLSIGN.spad" 2065981 2065992 2066308 2066313) (-1190 "TEXTFILE.spad" 2064538 2064547 2065971 2065976) (-1189 "TEX.spad" 2061670 2061679 2064528 2064533) (-1188 "TEX1.spad" 2061226 2061237 2061660 2061665) (-1187 "TEMUTL.spad" 2060781 2060790 2061216 2061221) (-1186 "TBCMPPK.spad" 2058874 2058897 2060771 2060776) (-1185 "TBAGG.spad" 2057910 2057933 2058854 2058869) (-1184 "TBAGG.spad" 2056954 2056979 2057900 2057905) (-1183 "TANEXP.spad" 2056330 2056341 2056944 2056949) (-1182 "TABLE.spad" 2054741 2054764 2055011 2055038) (-1181 "TABLEAU.spad" 2054222 2054233 2054731 2054736) (-1180 "TABLBUMP.spad" 2051005 2051016 2054212 2054217) (-1179 "SYSTEM.spad" 2050233 2050242 2050995 2051000) (-1178 "SYSSOLP.spad" 2047706 2047717 2050223 2050228) (-1177 "SYSNNI.spad" 2046886 2046897 2047696 2047701) (-1176 "SYSINT.spad" 2046290 2046301 2046876 2046881) (-1175 "SYNTAX.spad" 2042484 2042493 2046280 2046285) (-1174 "SYMTAB.spad" 2040540 2040549 2042474 2042479) (-1173 "SYMS.spad" 2036525 2036534 2040530 2040535) (-1172 "SYMPOLY.spad" 2035532 2035543 2035614 2035741) (-1171 "SYMFUNC.spad" 2035007 2035018 2035522 2035527) (-1170 "SYMBOL.spad" 2032434 2032443 2034997 2035002) (-1169 "SWITCH.spad" 2029191 2029200 2032424 2032429) (-1168 "SUTS.spad" 2026090 2026118 2027658 2027755) (-1167 "SUPXS.spad" 2023225 2023253 2024222 2024371) (-1166 "SUP.spad" 2019994 2020005 2020775 2020928) (-1165 "SUPFRACF.spad" 2019099 2019117 2019984 2019989) (-1164 "SUP2.spad" 2018489 2018502 2019089 2019094) (-1163 "SUMRF.spad" 2017455 2017466 2018479 2018484) (-1162 "SUMFS.spad" 2017088 2017105 2017445 2017450) (-1161 "SULS.spad" 2007627 2007655 2008733 2009162) (-1160 "SUCHTAST.spad" 2007396 2007405 2007617 2007622) (-1159 "SUCH.spad" 2007076 2007091 2007386 2007391) (-1158 "SUBSPACE.spad" 1999083 1999098 2007066 2007071) (-1157 "SUBRESP.spad" 1998243 1998257 1999039 1999044) (-1156 "STTF.spad" 1994342 1994358 1998233 1998238) (-1155 "STTFNC.spad" 1990810 1990826 1994332 1994337) (-1154 "STTAYLOR.spad" 1983208 1983219 1990691 1990696) (-1153 "STRTBL.spad" 1981713 1981730 1981862 1981889) (-1152 "STRING.spad" 1981122 1981131 1981136 1981163) (-1151 "STRICAT.spad" 1980910 1980919 1981090 1981117) (-1150 "STREAM.spad" 1977768 1977779 1980435 1980450) (-1149 "STREAM3.spad" 1977313 1977328 1977758 1977763) (-1148 "STREAM2.spad" 1976381 1976394 1977303 1977308) (-1147 "STREAM1.spad" 1976085 1976096 1976371 1976376) (-1146 "STINPROD.spad" 1974991 1975007 1976075 1976080) (-1145 "STEP.spad" 1974192 1974201 1974981 1974986) (-1144 "STBL.spad" 1972718 1972746 1972885 1972900) (-1143 "STAGG.spad" 1971793 1971804 1972708 1972713) (-1142 "STAGG.spad" 1970866 1970879 1971783 1971788) (-1141 "STACK.spad" 1970217 1970228 1970473 1970500) (-1140 "SREGSET.spad" 1967921 1967938 1969863 1969890) (-1139 "SRDCMPK.spad" 1966466 1966486 1967911 1967916) (-1138 "SRAGG.spad" 1961563 1961572 1966434 1966461) (-1137 "SRAGG.spad" 1956680 1956691 1961553 1961558) (-1136 "SQMATRIX.spad" 1954296 1954314 1955212 1955299) (-1135 "SPLTREE.spad" 1948848 1948861 1953732 1953759) (-1134 "SPLNODE.spad" 1945436 1945449 1948838 1948843) (-1133 "SPFCAT.spad" 1944213 1944222 1945426 1945431) (-1132 "SPECOUT.spad" 1942763 1942772 1944203 1944208) (-1131 "SPADXPT.spad" 1934902 1934911 1942753 1942758) (-1130 "spad-parser.spad" 1934367 1934376 1934892 1934897) (-1129 "SPADAST.spad" 1934068 1934077 1934357 1934362) (-1128 "SPACEC.spad" 1918081 1918092 1934058 1934063) (-1127 "SPACE3.spad" 1917857 1917868 1918071 1918076) (-1126 "SORTPAK.spad" 1917402 1917415 1917813 1917818) (-1125 "SOLVETRA.spad" 1915159 1915170 1917392 1917397) (-1124 "SOLVESER.spad" 1913679 1913690 1915149 1915154) (-1123 "SOLVERAD.spad" 1909689 1909700 1913669 1913674) (-1122 "SOLVEFOR.spad" 1908109 1908127 1909679 1909684) (-1121 "SNTSCAT.spad" 1907709 1907726 1908077 1908104) (-1120 "SMTS.spad" 1905969 1905995 1907274 1907371) (-1119 "SMP.spad" 1903408 1903428 1903798 1903925) (-1118 "SMITH.spad" 1902251 1902276 1903398 1903403) (-1117 "SMATCAT.spad" 1900361 1900391 1902195 1902246) (-1116 "SMATCAT.spad" 1898403 1898435 1900239 1900244) (-1115 "SKAGG.spad" 1897364 1897375 1898371 1898398) (-1114 "SINT.spad" 1896190 1896199 1897230 1897359) (-1113 "SIMPAN.spad" 1895918 1895927 1896180 1896185) (-1112 "SIG.spad" 1895246 1895255 1895908 1895913) (-1111 "SIGNRF.spad" 1894354 1894365 1895236 1895241) (-1110 "SIGNEF.spad" 1893623 1893640 1894344 1894349) (-1109 "SIGAST.spad" 1893004 1893013 1893613 1893618) (-1108 "SHP.spad" 1890922 1890937 1892960 1892965) (-1107 "SHDP.spad" 1880633 1880660 1881142 1881273) (-1106 "SGROUP.spad" 1880241 1880250 1880623 1880628) (-1105 "SGROUP.spad" 1879847 1879858 1880231 1880236) (-1104 "SGCF.spad" 1872728 1872737 1879837 1879842) (-1103 "SFRTCAT.spad" 1871656 1871673 1872696 1872723) (-1102 "SFRGCD.spad" 1870719 1870739 1871646 1871651) (-1101 "SFQCMPK.spad" 1865356 1865376 1870709 1870714) (-1100 "SFORT.spad" 1864791 1864805 1865346 1865351) (-1099 "SEXOF.spad" 1864634 1864674 1864781 1864786) (-1098 "SEX.spad" 1864526 1864535 1864624 1864629) (-1097 "SEXCAT.spad" 1862077 1862117 1864516 1864521) (-1096 "SET.spad" 1860377 1860388 1861498 1861537) (-1095 "SETMN.spad" 1858811 1858828 1860367 1860372) (-1094 "SETCAT.spad" 1858296 1858305 1858801 1858806) (-1093 "SETCAT.spad" 1857779 1857790 1858286 1858291) (-1092 "SETAGG.spad" 1854300 1854311 1857759 1857774) (-1091 "SETAGG.spad" 1850829 1850842 1854290 1854295) (-1090 "SEQAST.spad" 1850532 1850541 1850819 1850824) (-1089 "SEGXCAT.spad" 1849654 1849667 1850522 1850527) (-1088 "SEG.spad" 1849467 1849478 1849573 1849578) (-1087 "SEGCAT.spad" 1848374 1848385 1849457 1849462) (-1086 "SEGBIND.spad" 1847446 1847457 1848329 1848334) (-1085 "SEGBIND2.spad" 1847142 1847155 1847436 1847441) (-1084 "SEGAST.spad" 1846856 1846865 1847132 1847137) (-1083 "SEG2.spad" 1846281 1846294 1846812 1846817) (-1082 "SDVAR.spad" 1845557 1845568 1846271 1846276) (-1081 "SDPOL.spad" 1842947 1842958 1843238 1843365) (-1080 "SCPKG.spad" 1841026 1841037 1842937 1842942) (-1079 "SCOPE.spad" 1840179 1840188 1841016 1841021) (-1078 "SCACHE.spad" 1838861 1838872 1840169 1840174) (-1077 "SASTCAT.spad" 1838770 1838779 1838851 1838856) (-1076 "SAOS.spad" 1838642 1838651 1838760 1838765) (-1075 "SAERFFC.spad" 1838355 1838375 1838632 1838637) (-1074 "SAE.spad" 1836530 1836546 1837141 1837276) (-1073 "SAEFACT.spad" 1836231 1836251 1836520 1836525) (-1072 "RURPK.spad" 1833872 1833888 1836221 1836226) (-1071 "RULESET.spad" 1833313 1833337 1833862 1833867) (-1070 "RULE.spad" 1831517 1831541 1833303 1833308) (-1069 "RULECOLD.spad" 1831369 1831382 1831507 1831512) (-1068 "RTVALUE.spad" 1831102 1831111 1831359 1831364) (-1067 "RSTRCAST.spad" 1830819 1830828 1831092 1831097) (-1066 "RSETGCD.spad" 1827197 1827217 1830809 1830814) (-1065 "RSETCAT.spad" 1816981 1816998 1827165 1827192) (-1064 "RSETCAT.spad" 1806785 1806804 1816971 1816976) (-1063 "RSDCMPK.spad" 1805237 1805257 1806775 1806780) (-1062 "RRCC.spad" 1803621 1803651 1805227 1805232) (-1061 "RRCC.spad" 1802003 1802035 1803611 1803616) (-1060 "RPTAST.spad" 1801705 1801714 1801993 1801998) (-1059 "RPOLCAT.spad" 1781065 1781080 1801573 1801700) (-1058 "RPOLCAT.spad" 1760139 1760156 1780649 1780654) (-1057 "ROUTINE.spad" 1756002 1756011 1758786 1758813) (-1056 "ROMAN.spad" 1755330 1755339 1755868 1755997) (-1055 "ROIRC.spad" 1754410 1754442 1755320 1755325) (-1054 "RNS.spad" 1753313 1753322 1754312 1754405) (-1053 "RNS.spad" 1752302 1752313 1753303 1753308) (-1052 "RNG.spad" 1752037 1752046 1752292 1752297) (-1051 "RMODULE.spad" 1751675 1751686 1752027 1752032) (-1050 "RMCAT2.spad" 1751083 1751140 1751665 1751670) (-1049 "RMATRIX.spad" 1749907 1749926 1750250 1750289) (-1048 "RMATCAT.spad" 1745440 1745471 1749863 1749902) (-1047 "RMATCAT.spad" 1740863 1740896 1745288 1745293) (-1046 "RINTERP.spad" 1740751 1740771 1740853 1740858) (-1045 "RING.spad" 1740221 1740230 1740731 1740746) (-1044 "RING.spad" 1739699 1739710 1740211 1740216) (-1043 "RIDIST.spad" 1739083 1739092 1739689 1739694) (-1042 "RGCHAIN.spad" 1737662 1737678 1738568 1738595) (-1041 "RGBCSPC.spad" 1737443 1737455 1737652 1737657) (-1040 "RGBCMDL.spad" 1736973 1736985 1737433 1737438) (-1039 "RF.spad" 1734587 1734598 1736963 1736968) (-1038 "RFFACTOR.spad" 1734049 1734060 1734577 1734582) (-1037 "RFFACT.spad" 1733784 1733796 1734039 1734044) (-1036 "RFDIST.spad" 1732772 1732781 1733774 1733779) (-1035 "RETSOL.spad" 1732189 1732202 1732762 1732767) (-1034 "RETRACT.spad" 1731617 1731628 1732179 1732184) (-1033 "RETRACT.spad" 1731043 1731056 1731607 1731612) (-1032 "RETAST.spad" 1730855 1730864 1731033 1731038) (-1031 "RESULT.spad" 1728915 1728924 1729502 1729529) (-1030 "RESRING.spad" 1728262 1728309 1728853 1728910) (-1029 "RESLATC.spad" 1727586 1727597 1728252 1728257) (-1028 "REPSQ.spad" 1727315 1727326 1727576 1727581) (-1027 "REP.spad" 1724867 1724876 1727305 1727310) (-1026 "REPDB.spad" 1724572 1724583 1724857 1724862) (-1025 "REP2.spad" 1714144 1714155 1724414 1724419) (-1024 "REP1.spad" 1708134 1708145 1714094 1714099) (-1023 "REGSET.spad" 1705931 1705948 1707780 1707807) (-1022 "REF.spad" 1705260 1705271 1705886 1705891) (-1021 "REDORDER.spad" 1704436 1704453 1705250 1705255) (-1020 "RECLOS.spad" 1703219 1703239 1703923 1704016) (-1019 "REALSOLV.spad" 1702351 1702360 1703209 1703214) (-1018 "REAL.spad" 1702223 1702232 1702341 1702346) (-1017 "REAL0Q.spad" 1699505 1699520 1702213 1702218) (-1016 "REAL0.spad" 1696333 1696348 1699495 1699500) (-1015 "RDUCEAST.spad" 1696054 1696063 1696323 1696328) (-1014 "RDIV.spad" 1695705 1695730 1696044 1696049) (-1013 "RDIST.spad" 1695268 1695279 1695695 1695700) (-1012 "RDETRS.spad" 1694064 1694082 1695258 1695263) (-1011 "RDETR.spad" 1692171 1692189 1694054 1694059) (-1010 "RDEEFS.spad" 1691244 1691261 1692161 1692166) (-1009 "RDEEF.spad" 1690240 1690257 1691234 1691239) (-1008 "RCFIELD.spad" 1687426 1687435 1690142 1690235) (-1007 "RCFIELD.spad" 1684698 1684709 1687416 1687421) (-1006 "RCAGG.spad" 1682610 1682621 1684688 1684693) (-1005 "RCAGG.spad" 1680449 1680462 1682529 1682534) (-1004 "RATRET.spad" 1679809 1679820 1680439 1680444) (-1003 "RATFACT.spad" 1679501 1679513 1679799 1679804) (-1002 "RANDSRC.spad" 1678820 1678829 1679491 1679496) (-1001 "RADUTIL.spad" 1678574 1678583 1678810 1678815) (-1000 "RADIX.spad" 1675475 1675489 1677041 1677134) (-999 "RADFF.spad" 1673889 1673925 1674007 1674163) (-998 "RADCAT.spad" 1673483 1673491 1673879 1673884) (-997 "RADCAT.spad" 1673075 1673085 1673473 1673478) (-996 "QUEUE.spad" 1672418 1672428 1672682 1672709) (-995 "QUAT.spad" 1671000 1671010 1671342 1671407) (-994 "QUATCT2.spad" 1670619 1670637 1670990 1670995) (-993 "QUATCAT.spad" 1668784 1668794 1670549 1670614) (-992 "QUATCAT.spad" 1666700 1666712 1668467 1668472) (-991 "QUAGG.spad" 1665526 1665536 1666668 1666695) (-990 "QQUTAST.spad" 1665295 1665303 1665516 1665521) (-989 "QFORM.spad" 1664758 1664772 1665285 1665290) (-988 "QFCAT.spad" 1663461 1663471 1664660 1664753) (-987 "QFCAT.spad" 1661755 1661767 1662956 1662961) (-986 "QFCAT2.spad" 1661446 1661462 1661745 1661750) (-985 "QEQUAT.spad" 1661003 1661011 1661436 1661441) (-984 "QCMPACK.spad" 1655750 1655769 1660993 1660998) (-983 "QALGSET.spad" 1651825 1651857 1655664 1655669) (-982 "QALGSET2.spad" 1649821 1649839 1651815 1651820) (-981 "PWFFINTB.spad" 1647131 1647152 1649811 1649816) (-980 "PUSHVAR.spad" 1646460 1646479 1647121 1647126) (-979 "PTRANFN.spad" 1642586 1642596 1646450 1646455) (-978 "PTPACK.spad" 1639674 1639684 1642576 1642581) (-977 "PTFUNC2.spad" 1639495 1639509 1639664 1639669) (-976 "PTCAT.spad" 1638744 1638754 1639463 1639490) (-975 "PSQFR.spad" 1638051 1638075 1638734 1638739) (-974 "PSEUDLIN.spad" 1636909 1636919 1638041 1638046) (-973 "PSETPK.spad" 1622342 1622358 1636787 1636792) (-972 "PSETCAT.spad" 1616262 1616285 1622322 1622337) (-971 "PSETCAT.spad" 1610156 1610181 1616218 1616223) (-970 "PSCURVE.spad" 1609139 1609147 1610146 1610151) (-969 "PSCAT.spad" 1607906 1607935 1609037 1609134) (-968 "PSCAT.spad" 1606763 1606794 1607896 1607901) (-967 "PRTITION.spad" 1605708 1605716 1606753 1606758) (-966 "PRTDAST.spad" 1605427 1605435 1605698 1605703) (-965 "PRS.spad" 1594989 1595006 1605383 1605388) (-964 "PRQAGG.spad" 1594420 1594430 1594957 1594984) (-963 "PROPLOG.spad" 1593823 1593831 1594410 1594415) (-962 "PROPFRML.spad" 1592631 1592642 1593813 1593818) (-961 "PROPERTY.spad" 1592125 1592133 1592621 1592626) (-960 "PRODUCT.spad" 1589805 1589817 1590091 1590146) (-959 "PR.spad" 1588191 1588203 1588896 1589023) (-958 "PRINT.spad" 1587943 1587951 1588181 1588186) (-957 "PRIMES.spad" 1586194 1586204 1587933 1587938) (-956 "PRIMELT.spad" 1584175 1584189 1586184 1586189) (-955 "PRIMCAT.spad" 1583798 1583806 1584165 1584170) (-954 "PRIMARR.spad" 1582803 1582813 1582981 1583008) (-953 "PRIMARR2.spad" 1581526 1581538 1582793 1582798) (-952 "PREASSOC.spad" 1580898 1580910 1581516 1581521) (-951 "PPCURVE.spad" 1580035 1580043 1580888 1580893) (-950 "PORTNUM.spad" 1579810 1579818 1580025 1580030) (-949 "POLYROOT.spad" 1578639 1578661 1579766 1579771) (-948 "POLY.spad" 1575936 1575946 1576453 1576580) (-947 "POLYLIFT.spad" 1575197 1575220 1575926 1575931) (-946 "POLYCATQ.spad" 1573299 1573321 1575187 1575192) (-945 "POLYCAT.spad" 1566705 1566726 1573167 1573294) (-944 "POLYCAT.spad" 1559413 1559436 1565877 1565882) (-943 "POLY2UP.spad" 1558861 1558875 1559403 1559408) (-942 "POLY2.spad" 1558456 1558468 1558851 1558856) (-941 "POLUTIL.spad" 1557397 1557426 1558412 1558417) (-940 "POLTOPOL.spad" 1556145 1556160 1557387 1557392) (-939 "POINT.spad" 1554984 1554994 1555071 1555098) (-938 "PNTHEORY.spad" 1551650 1551658 1554974 1554979) (-937 "PMTOOLS.spad" 1550407 1550421 1551640 1551645) (-936 "PMSYM.spad" 1549952 1549962 1550397 1550402) (-935 "PMQFCAT.spad" 1549539 1549553 1549942 1549947) (-934 "PMPRED.spad" 1549008 1549022 1549529 1549534) (-933 "PMPREDFS.spad" 1548452 1548474 1548998 1549003) (-932 "PMPLCAT.spad" 1547522 1547540 1548384 1548389) (-931 "PMLSAGG.spad" 1547103 1547117 1547512 1547517) (-930 "PMKERNEL.spad" 1546670 1546682 1547093 1547098) (-929 "PMINS.spad" 1546246 1546256 1546660 1546665) (-928 "PMFS.spad" 1545819 1545837 1546236 1546241) (-927 "PMDOWN.spad" 1545105 1545119 1545809 1545814) (-926 "PMASS.spad" 1544117 1544125 1545095 1545100) (-925 "PMASSFS.spad" 1543082 1543098 1544107 1544112) (-924 "PLOTTOOL.spad" 1542862 1542870 1543072 1543077) (-923 "PLOT.spad" 1537693 1537701 1542852 1542857) (-922 "PLOT3D.spad" 1534113 1534121 1537683 1537688) (-921 "PLOT1.spad" 1533254 1533264 1534103 1534108) (-920 "PLEQN.spad" 1520470 1520497 1533244 1533249) (-919 "PINTERP.spad" 1520086 1520105 1520460 1520465) (-918 "PINTERPA.spad" 1519868 1519884 1520076 1520081) (-917 "PI.spad" 1519475 1519483 1519842 1519863) (-916 "PID.spad" 1518431 1518439 1519401 1519470) (-915 "PICOERCE.spad" 1518088 1518098 1518421 1518426) (-914 "PGROEB.spad" 1516685 1516699 1518078 1518083) (-913 "PGE.spad" 1507938 1507946 1516675 1516680) (-912 "PGCD.spad" 1506820 1506837 1507928 1507933) (-911 "PFRPAC.spad" 1505963 1505973 1506810 1506815) (-910 "PFR.spad" 1502620 1502630 1505865 1505958) (-909 "PFOTOOLS.spad" 1501878 1501894 1502610 1502615) (-908 "PFOQ.spad" 1501248 1501266 1501868 1501873) (-907 "PFO.spad" 1500667 1500694 1501238 1501243) (-906 "PF.spad" 1500241 1500253 1500472 1500565) (-905 "PFECAT.spad" 1497907 1497915 1500167 1500236) (-904 "PFECAT.spad" 1495601 1495611 1497863 1497868) (-903 "PFBRU.spad" 1493471 1493483 1495591 1495596) (-902 "PFBR.spad" 1491009 1491032 1493461 1493466) (-901 "PERM.spad" 1486690 1486700 1490839 1490854) (-900 "PERMGRP.spad" 1481426 1481436 1486680 1486685) (-899 "PERMCAT.spad" 1479978 1479988 1481406 1481421) (-898 "PERMAN.spad" 1478510 1478524 1479968 1479973) (-897 "PENDTREE.spad" 1477849 1477859 1478139 1478144) (-896 "PDRING.spad" 1476340 1476350 1477829 1477844) (-895 "PDRING.spad" 1474839 1474851 1476330 1476335) (-894 "PDEPROB.spad" 1473854 1473862 1474829 1474834) (-893 "PDEPACK.spad" 1467856 1467864 1473844 1473849) (-892 "PDECOMP.spad" 1467318 1467335 1467846 1467851) (-891 "PDECAT.spad" 1465672 1465680 1467308 1467313) (-890 "PCOMP.spad" 1465523 1465536 1465662 1465667) (-889 "PBWLB.spad" 1464105 1464122 1465513 1465518) (-888 "PATTERN.spad" 1458536 1458546 1464095 1464100) (-887 "PATTERN2.spad" 1458272 1458284 1458526 1458531) (-886 "PATTERN1.spad" 1456574 1456590 1458262 1458267) (-885 "PATRES.spad" 1454121 1454133 1456564 1456569) (-884 "PATRES2.spad" 1453783 1453797 1454111 1454116) (-883 "PATMATCH.spad" 1451940 1451971 1453491 1453496) (-882 "PATMAB.spad" 1451365 1451375 1451930 1451935) (-881 "PATLRES.spad" 1450449 1450463 1451355 1451360) (-880 "PATAB.spad" 1450213 1450223 1450439 1450444) (-879 "PARTPERM.spad" 1447575 1447583 1450203 1450208) (-878 "PARSURF.spad" 1447003 1447031 1447565 1447570) (-877 "PARSU2.spad" 1446798 1446814 1446993 1446998) (-876 "script-parser.spad" 1446318 1446326 1446788 1446793) (-875 "PARSCURV.spad" 1445746 1445774 1446308 1446313) (-874 "PARSC2.spad" 1445535 1445551 1445736 1445741) (-873 "PARPCURV.spad" 1444993 1445021 1445525 1445530) (-872 "PARPC2.spad" 1444782 1444798 1444983 1444988) (-871 "PAN2EXPR.spad" 1444194 1444202 1444772 1444777) (-870 "PALETTE.spad" 1443164 1443172 1444184 1444189) (-869 "PAIR.spad" 1442147 1442160 1442752 1442757) (-868 "PADICRC.spad" 1439477 1439495 1440652 1440745) (-867 "PADICRAT.spad" 1437492 1437504 1437713 1437806) (-866 "PADIC.spad" 1437187 1437199 1437418 1437487) (-865 "PADICCT.spad" 1435728 1435740 1437113 1437182) (-864 "PADEPAC.spad" 1434407 1434426 1435718 1435723) (-863 "PADE.spad" 1433147 1433163 1434397 1434402) (-862 "OWP.spad" 1432387 1432417 1433005 1433072) (-861 "OVERSET.spad" 1431960 1431968 1432377 1432382) (-860 "OVAR.spad" 1431741 1431764 1431950 1431955) (-859 "OUT.spad" 1430825 1430833 1431731 1431736) (-858 "OUTFORM.spad" 1420121 1420129 1430815 1430820) (-857 "OUTBFILE.spad" 1419539 1419547 1420111 1420116) (-856 "OUTBCON.spad" 1418537 1418545 1419529 1419534) (-855 "OUTBCON.spad" 1417533 1417543 1418527 1418532) (-854 "OSI.spad" 1417008 1417016 1417523 1417528) (-853 "OSGROUP.spad" 1416926 1416934 1416998 1417003) (-852 "ORTHPOL.spad" 1415387 1415397 1416843 1416848) (-851 "OREUP.spad" 1414840 1414868 1415067 1415106) (-850 "ORESUP.spad" 1414139 1414163 1414520 1414559) (-849 "OREPCTO.spad" 1411958 1411970 1414059 1414064) (-848 "OREPCAT.spad" 1406015 1406025 1411914 1411953) (-847 "OREPCAT.spad" 1399962 1399974 1405863 1405868) (-846 "ORDSET.spad" 1399128 1399136 1399952 1399957) (-845 "ORDSET.spad" 1398292 1398302 1399118 1399123) (-844 "ORDRING.spad" 1397682 1397690 1398272 1398287) (-843 "ORDRING.spad" 1397080 1397090 1397672 1397677) (-842 "ORDMON.spad" 1396935 1396943 1397070 1397075) (-841 "ORDFUNS.spad" 1396061 1396077 1396925 1396930) (-840 "ORDFIN.spad" 1395881 1395889 1396051 1396056) (-839 "ORDCOMP.spad" 1394346 1394356 1395428 1395457) (-838 "ORDCOMP2.spad" 1393631 1393643 1394336 1394341) (-837 "OPTPROB.spad" 1392269 1392277 1393621 1393626) (-836 "OPTPACK.spad" 1384654 1384662 1392259 1392264) (-835 "OPTCAT.spad" 1382329 1382337 1384644 1384649) (-834 "OPSIG.spad" 1381981 1381989 1382319 1382324) (-833 "OPQUERY.spad" 1381530 1381538 1381971 1381976) (-832 "OP.spad" 1381272 1381282 1381352 1381419) (-831 "OPERCAT.spad" 1380860 1380870 1381262 1381267) (-830 "OPERCAT.spad" 1380446 1380458 1380850 1380855) (-829 "ONECOMP.spad" 1379191 1379201 1379993 1380022) (-828 "ONECOMP2.spad" 1378609 1378621 1379181 1379186) (-827 "OMSERVER.spad" 1377611 1377619 1378599 1378604) (-826 "OMSAGG.spad" 1377399 1377409 1377567 1377606) (-825 "OMPKG.spad" 1376011 1376019 1377389 1377394) (-824 "OM.spad" 1374976 1374984 1376001 1376006) (-823 "OMLO.spad" 1374401 1374413 1374862 1374901) (-822 "OMEXPR.spad" 1374235 1374245 1374391 1374396) (-821 "OMERR.spad" 1373778 1373786 1374225 1374230) (-820 "OMERRK.spad" 1372812 1372820 1373768 1373773) (-819 "OMENC.spad" 1372156 1372164 1372802 1372807) (-818 "OMDEV.spad" 1366445 1366453 1372146 1372151) (-817 "OMCONN.spad" 1365854 1365862 1366435 1366440) (-816 "OINTDOM.spad" 1365617 1365625 1365780 1365849) (-815 "OFMONOID.spad" 1361804 1361814 1365607 1365612) (-814 "ODVAR.spad" 1361065 1361075 1361794 1361799) (-813 "ODR.spad" 1360709 1360735 1360877 1361026) (-812 "ODPOL.spad" 1358055 1358065 1358395 1358522) (-811 "ODP.spad" 1347902 1347922 1348275 1348406) (-810 "ODETOOLS.spad" 1346485 1346504 1347892 1347897) (-809 "ODESYS.spad" 1344135 1344152 1346475 1346480) (-808 "ODERTRIC.spad" 1340076 1340093 1344092 1344097) (-807 "ODERED.spad" 1339463 1339487 1340066 1340071) (-806 "ODERAT.spad" 1337014 1337031 1339453 1339458) (-805 "ODEPRRIC.spad" 1333905 1333927 1337004 1337009) (-804 "ODEPROB.spad" 1333162 1333170 1333895 1333900) (-803 "ODEPRIM.spad" 1330436 1330458 1333152 1333157) (-802 "ODEPAL.spad" 1329812 1329836 1330426 1330431) (-801 "ODEPACK.spad" 1316414 1316422 1329802 1329807) (-800 "ODEINT.spad" 1315845 1315861 1316404 1316409) (-799 "ODEIFTBL.spad" 1313240 1313248 1315835 1315840) (-798 "ODEEF.spad" 1308607 1308623 1313230 1313235) (-797 "ODECONST.spad" 1308126 1308144 1308597 1308602) (-796 "ODECAT.spad" 1306722 1306730 1308116 1308121) (-795 "OCT.spad" 1304860 1304870 1305576 1305615) (-794 "OCTCT2.spad" 1304504 1304525 1304850 1304855) (-793 "OC.spad" 1302278 1302288 1304460 1304499) (-792 "OC.spad" 1299777 1299789 1301961 1301966) (-791 "OCAMON.spad" 1299625 1299633 1299767 1299772) (-790 "OASGP.spad" 1299440 1299448 1299615 1299620) (-789 "OAMONS.spad" 1298960 1298968 1299430 1299435) (-788 "OAMON.spad" 1298821 1298829 1298950 1298955) (-787 "OAGROUP.spad" 1298683 1298691 1298811 1298816) (-786 "NUMTUBE.spad" 1298270 1298286 1298673 1298678) (-785 "NUMQUAD.spad" 1286132 1286140 1298260 1298265) (-784 "NUMODE.spad" 1277268 1277276 1286122 1286127) (-783 "NUMINT.spad" 1274826 1274834 1277258 1277263) (-782 "NUMFMT.spad" 1273666 1273674 1274816 1274821) (-781 "NUMERIC.spad" 1265738 1265748 1273471 1273476) (-780 "NTSCAT.spad" 1264240 1264256 1265706 1265733) (-779 "NTPOLFN.spad" 1263785 1263795 1264157 1264162) (-778 "NSUP.spad" 1256795 1256805 1261335 1261488) (-777 "NSUP2.spad" 1256187 1256199 1256785 1256790) (-776 "NSMP.spad" 1252382 1252401 1252690 1252817) (-775 "NREP.spad" 1250754 1250768 1252372 1252377) (-774 "NPCOEF.spad" 1250000 1250020 1250744 1250749) (-773 "NORMRETR.spad" 1249598 1249637 1249990 1249995) (-772 "NORMPK.spad" 1247500 1247519 1249588 1249593) (-771 "NORMMA.spad" 1247188 1247214 1247490 1247495) (-770 "NONE.spad" 1246929 1246937 1247178 1247183) (-769 "NONE1.spad" 1246605 1246615 1246919 1246924) (-768 "NODE1.spad" 1246074 1246090 1246595 1246600) (-767 "NNI.spad" 1244961 1244969 1246048 1246069) (-766 "NLINSOL.spad" 1243583 1243593 1244951 1244956) (-765 "NIPROB.spad" 1242124 1242132 1243573 1243578) (-764 "NFINTBAS.spad" 1239584 1239601 1242114 1242119) (-763 "NETCLT.spad" 1239558 1239569 1239574 1239579) (-762 "NCODIV.spad" 1237756 1237772 1239548 1239553) (-761 "NCNTFRAC.spad" 1237398 1237412 1237746 1237751) (-760 "NCEP.spad" 1235558 1235572 1237388 1237393) (-759 "NASRING.spad" 1235154 1235162 1235548 1235553) (-758 "NASRING.spad" 1234748 1234758 1235144 1235149) (-757 "NARNG.spad" 1234092 1234100 1234738 1234743) (-756 "NARNG.spad" 1233434 1233444 1234082 1234087) (-755 "NAGSP.spad" 1232507 1232515 1233424 1233429) (-754 "NAGS.spad" 1222032 1222040 1232497 1232502) (-753 "NAGF07.spad" 1220425 1220433 1222022 1222027) (-752 "NAGF04.spad" 1214657 1214665 1220415 1220420) (-751 "NAGF02.spad" 1208466 1208474 1214647 1214652) (-750 "NAGF01.spad" 1204069 1204077 1208456 1208461) (-749 "NAGE04.spad" 1197529 1197537 1204059 1204064) (-748 "NAGE02.spad" 1187871 1187879 1197519 1197524) (-747 "NAGE01.spad" 1183755 1183763 1187861 1187866) (-746 "NAGD03.spad" 1181675 1181683 1183745 1183750) (-745 "NAGD02.spad" 1174206 1174214 1181665 1181670) (-744 "NAGD01.spad" 1168319 1168327 1174196 1174201) (-743 "NAGC06.spad" 1164106 1164114 1168309 1168314) (-742 "NAGC05.spad" 1162575 1162583 1164096 1164101) (-741 "NAGC02.spad" 1161830 1161838 1162565 1162570) (-740 "NAALG.spad" 1161365 1161375 1161798 1161825) (-739 "NAALG.spad" 1160920 1160932 1161355 1161360) (-738 "MULTSQFR.spad" 1157878 1157895 1160910 1160915) (-737 "MULTFACT.spad" 1157261 1157278 1157868 1157873) (-736 "MTSCAT.spad" 1155295 1155316 1157159 1157256) (-735 "MTHING.spad" 1154952 1154962 1155285 1155290) (-734 "MSYSCMD.spad" 1154386 1154394 1154942 1154947) (-733 "MSET.spad" 1152328 1152338 1154092 1154131) (-732 "MSETAGG.spad" 1152173 1152183 1152296 1152323) (-731 "MRING.spad" 1149144 1149156 1151881 1151948) (-730 "MRF2.spad" 1148712 1148726 1149134 1149139) (-729 "MRATFAC.spad" 1148258 1148275 1148702 1148707) (-728 "MPRFF.spad" 1146288 1146307 1148248 1148253) (-727 "MPOLY.spad" 1143723 1143738 1144082 1144209) (-726 "MPCPF.spad" 1142987 1143006 1143713 1143718) (-725 "MPC3.spad" 1142802 1142842 1142977 1142982) (-724 "MPC2.spad" 1142444 1142477 1142792 1142797) (-723 "MONOTOOL.spad" 1140779 1140796 1142434 1142439) (-722 "MONOID.spad" 1140098 1140106 1140769 1140774) (-721 "MONOID.spad" 1139415 1139425 1140088 1140093) (-720 "MONOGEN.spad" 1138161 1138174 1139275 1139410) (-719 "MONOGEN.spad" 1136929 1136944 1138045 1138050) (-718 "MONADWU.spad" 1134943 1134951 1136919 1136924) (-717 "MONADWU.spad" 1132955 1132965 1134933 1134938) (-716 "MONAD.spad" 1132099 1132107 1132945 1132950) (-715 "MONAD.spad" 1131241 1131251 1132089 1132094) (-714 "MOEBIUS.spad" 1129927 1129941 1131221 1131236) (-713 "MODULE.spad" 1129797 1129807 1129895 1129922) (-712 "MODULE.spad" 1129687 1129699 1129787 1129792) (-711 "MODRING.spad" 1129018 1129057 1129667 1129682) (-710 "MODOP.spad" 1127677 1127689 1128840 1128907) (-709 "MODMONOM.spad" 1127406 1127424 1127667 1127672) (-708 "MODMON.spad" 1124165 1124181 1124884 1125037) (-707 "MODFIELD.spad" 1123523 1123562 1124067 1124160) (-706 "MMLFORM.spad" 1122383 1122391 1123513 1123518) (-705 "MMAP.spad" 1122123 1122157 1122373 1122378) (-704 "MLO.spad" 1120550 1120560 1122079 1122118) (-703 "MLIFT.spad" 1119122 1119139 1120540 1120545) (-702 "MKUCFUNC.spad" 1118655 1118673 1119112 1119117) (-701 "MKRECORD.spad" 1118257 1118270 1118645 1118650) (-700 "MKFUNC.spad" 1117638 1117648 1118247 1118252) (-699 "MKFLCFN.spad" 1116594 1116604 1117628 1117633) (-698 "MKBCFUNC.spad" 1116079 1116097 1116584 1116589) (-697 "MINT.spad" 1115518 1115526 1115981 1116074) (-696 "MHROWRED.spad" 1114019 1114029 1115508 1115513) (-695 "MFLOAT.spad" 1112535 1112543 1113909 1114014) (-694 "MFINFACT.spad" 1111935 1111957 1112525 1112530) (-693 "MESH.spad" 1109667 1109675 1111925 1111930) (-692 "MDDFACT.spad" 1107860 1107870 1109657 1109662) (-691 "MDAGG.spad" 1107147 1107157 1107840 1107855) (-690 "MCMPLX.spad" 1103121 1103129 1103735 1103936) (-689 "MCDEN.spad" 1102329 1102341 1103111 1103116) (-688 "MCALCFN.spad" 1099431 1099457 1102319 1102324) (-687 "MAYBE.spad" 1098715 1098726 1099421 1099426) (-686 "MATSTOR.spad" 1095991 1096001 1098705 1098710) (-685 "MATRIX.spad" 1094695 1094705 1095179 1095206) (-684 "MATLIN.spad" 1092021 1092045 1094579 1094584) (-683 "MATCAT.spad" 1083606 1083628 1091989 1092016) (-682 "MATCAT.spad" 1075063 1075087 1083448 1083453) (-681 "MATCAT2.spad" 1074331 1074379 1075053 1075058) (-680 "MAPPKG3.spad" 1073230 1073244 1074321 1074326) (-679 "MAPPKG2.spad" 1072564 1072576 1073220 1073225) (-678 "MAPPKG1.spad" 1071382 1071392 1072554 1072559) (-677 "MAPPAST.spad" 1070695 1070703 1071372 1071377) (-676 "MAPHACK3.spad" 1070503 1070517 1070685 1070690) (-675 "MAPHACK2.spad" 1070268 1070280 1070493 1070498) (-674 "MAPHACK1.spad" 1069898 1069908 1070258 1070263) (-673 "MAGMA.spad" 1067688 1067705 1069888 1069893) (-672 "MACROAST.spad" 1067267 1067275 1067678 1067683) (-671 "M3D.spad" 1064963 1064973 1066645 1066650) (-670 "LZSTAGG.spad" 1062191 1062201 1064953 1064958) (-669 "LZSTAGG.spad" 1059417 1059429 1062181 1062186) (-668 "LWORD.spad" 1056122 1056139 1059407 1059412) (-667 "LSTAST.spad" 1055906 1055914 1056112 1056117) (-666 "LSQM.spad" 1054132 1054146 1054530 1054581) (-665 "LSPP.spad" 1053665 1053682 1054122 1054127) (-664 "LSMP.spad" 1052505 1052533 1053655 1053660) (-663 "LSMP1.spad" 1050309 1050323 1052495 1052500) (-662 "LSAGG.spad" 1049978 1049988 1050277 1050304) (-661 "LSAGG.spad" 1049667 1049679 1049968 1049973) (-660 "LPOLY.spad" 1048621 1048640 1049523 1049592) (-659 "LPEFRAC.spad" 1047878 1047888 1048611 1048616) (-658 "LO.spad" 1047279 1047293 1047812 1047839) (-657 "LOGIC.spad" 1046881 1046889 1047269 1047274) (-656 "LOGIC.spad" 1046481 1046491 1046871 1046876) (-655 "LODOOPS.spad" 1045399 1045411 1046471 1046476) (-654 "LODO.spad" 1044783 1044799 1045079 1045118) (-653 "LODOF.spad" 1043827 1043844 1044740 1044745) (-652 "LODOCAT.spad" 1042485 1042495 1043783 1043822) (-651 "LODOCAT.spad" 1041141 1041153 1042441 1042446) (-650 "LODO2.spad" 1040414 1040426 1040821 1040860) (-649 "LODO1.spad" 1039814 1039824 1040094 1040133) (-648 "LODEEF.spad" 1038586 1038604 1039804 1039809) (-647 "LNAGG.spad" 1034388 1034398 1038576 1038581) (-646 "LNAGG.spad" 1030154 1030166 1034344 1034349) (-645 "LMOPS.spad" 1026890 1026907 1030144 1030149) (-644 "LMODULE.spad" 1026532 1026542 1026880 1026885) (-643 "LMDICT.spad" 1025815 1025825 1026083 1026110) (-642 "LITERAL.spad" 1025721 1025732 1025805 1025810) (-641 "LIST.spad" 1023439 1023449 1024868 1024895) (-640 "LIST3.spad" 1022730 1022744 1023429 1023434) (-639 "LIST2.spad" 1021370 1021382 1022720 1022725) (-638 "LIST2MAP.spad" 1018247 1018259 1021360 1021365) (-637 "LINEXP.spad" 1017679 1017689 1018227 1018242) (-636 "LINDEP.spad" 1016456 1016468 1017591 1017596) (-635 "LIMITRF.spad" 1014370 1014380 1016446 1016451) (-634 "LIMITPS.spad" 1013253 1013266 1014360 1014365) (-633 "LIE.spad" 1011267 1011279 1012543 1012688) (-632 "LIECAT.spad" 1010743 1010753 1011193 1011262) (-631 "LIECAT.spad" 1010247 1010259 1010699 1010704) (-630 "LIB.spad" 1008295 1008303 1008906 1008921) (-629 "LGROBP.spad" 1005648 1005667 1008285 1008290) (-628 "LF.spad" 1004567 1004583 1005638 1005643) (-627 "LFCAT.spad" 1003586 1003594 1004557 1004562) (-626 "LEXTRIPK.spad" 999089 999104 1003576 1003581) (-625 "LEXP.spad" 997092 997119 999069 999084) (-624 "LETAST.spad" 996791 996799 997082 997087) (-623 "LEADCDET.spad" 995175 995192 996781 996786) (-622 "LAZM3PK.spad" 993879 993901 995165 995170) (-621 "LAUPOL.spad" 992568 992581 993472 993541) (-620 "LAPLACE.spad" 992141 992157 992558 992563) (-619 "LA.spad" 991581 991595 992063 992102) (-618 "LALG.spad" 991357 991367 991561 991576) (-617 "LALG.spad" 991141 991153 991347 991352) (-616 "KVTFROM.spad" 990876 990886 991131 991136) (-615 "KTVLOGIC.spad" 990299 990307 990866 990871) (-614 "KRCFROM.spad" 990037 990047 990289 990294) (-613 "KOVACIC.spad" 988750 988767 990027 990032) (-612 "KONVERT.spad" 988472 988482 988740 988745) (-611 "KOERCE.spad" 988209 988219 988462 988467) (-610 "KERNEL.spad" 986744 986754 987993 987998) (-609 "KERNEL2.spad" 986447 986459 986734 986739) (-608 "KDAGG.spad" 985550 985572 986427 986442) (-607 "KDAGG.spad" 984661 984685 985540 985545) (-606 "KAFILE.spad" 983624 983640 983859 983886) (-605 "JORDAN.spad" 981451 981463 982914 983059) (-604 "JOINAST.spad" 981145 981153 981441 981446) (-603 "JAVACODE.spad" 981011 981019 981135 981140) (-602 "IXAGG.spad" 979134 979158 981001 981006) (-601 "IXAGG.spad" 977112 977138 978981 978986) (-600 "IVECTOR.spad" 975883 975898 976038 976065) (-599 "ITUPLE.spad" 975028 975038 975873 975878) (-598 "ITRIGMNP.spad" 973839 973858 975018 975023) (-597 "ITFUN3.spad" 973333 973347 973829 973834) (-596 "ITFUN2.spad" 973063 973075 973323 973328) (-595 "ITAYLOR.spad" 970855 970870 972899 973024) (-594 "ISUPS.spad" 963266 963281 969829 969926) (-593 "ISUMP.spad" 962763 962779 963256 963261) (-592 "ISTRING.spad" 961766 961779 961932 961959) (-591 "ISAST.spad" 961485 961493 961756 961761) (-590 "IRURPK.spad" 960198 960217 961475 961480) (-589 "IRSN.spad" 958158 958166 960188 960193) (-588 "IRRF2F.spad" 956633 956643 958114 958119) (-587 "IRREDFFX.spad" 956234 956245 956623 956628) (-586 "IROOT.spad" 954565 954575 956224 956229) (-585 "IR.spad" 952354 952368 954420 954447) (-584 "IR2.spad" 951374 951390 952344 952349) (-583 "IR2F.spad" 950574 950590 951364 951369) (-582 "IPRNTPK.spad" 950334 950342 950564 950569) (-581 "IPF.spad" 949899 949911 950139 950232) (-580 "IPADIC.spad" 949660 949686 949825 949894) (-579 "IP4ADDR.spad" 949217 949225 949650 949655) (-578 "IOMODE.spad" 948838 948846 949207 949212) (-577 "IOBFILE.spad" 948199 948207 948828 948833) (-576 "IOBCON.spad" 948064 948072 948189 948194) (-575 "INVLAPLA.spad" 947709 947725 948054 948059) (-574 "INTTR.spad" 940955 940972 947699 947704) (-573 "INTTOOLS.spad" 938666 938682 940529 940534) (-572 "INTSLPE.spad" 937972 937980 938656 938661) (-571 "INTRVL.spad" 937538 937548 937886 937967) (-570 "INTRF.spad" 935902 935916 937528 937533) (-569 "INTRET.spad" 935334 935344 935892 935897) (-568 "INTRAT.spad" 934009 934026 935324 935329) (-567 "INTPM.spad" 932372 932388 933652 933657) (-566 "INTPAF.spad" 930140 930158 932304 932309) (-565 "INTPACK.spad" 920450 920458 930130 930135) (-564 "INT.spad" 919811 919819 920304 920445) (-563 "INTHERTR.spad" 919077 919094 919801 919806) (-562 "INTHERAL.spad" 918743 918767 919067 919072) (-561 "INTHEORY.spad" 915156 915164 918733 918738) (-560 "INTG0.spad" 908619 908637 915088 915093) (-559 "INTFTBL.spad" 902648 902656 908609 908614) (-558 "INTFACT.spad" 901707 901717 902638 902643) (-557 "INTEF.spad" 900022 900038 901697 901702) 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222702 222707) (-188 "CTRIGMNP.spad" 220619 220635 222119 222124) (-187 "CTOR.spad" 220310 220318 220609 220614) (-186 "CTORKIND.spad" 219913 219921 220300 220305) (-185 "CTORCAT.spad" 219162 219170 219903 219908) (-184 "CTORCAT.spad" 218409 218419 219152 219157) (-183 "CTORCALL.spad" 217989 217997 218399 218404) (-182 "CSTTOOLS.spad" 217232 217245 217979 217984) (-181 "CRFP.spad" 210936 210949 217222 217227) (-180 "CRCEAST.spad" 210656 210664 210926 210931) (-179 "CRAPACK.spad" 209699 209709 210646 210651) (-178 "CPMATCH.spad" 209199 209214 209624 209629) (-177 "CPIMA.spad" 208904 208923 209189 209194) (-176 "COORDSYS.spad" 203797 203807 208894 208899) (-175 "CONTOUR.spad" 203208 203216 203787 203792) (-174 "CONTFRAC.spad" 198820 198830 203110 203203) (-173 "CONDUIT.spad" 198578 198586 198810 198815) (-172 "COMRING.spad" 198252 198260 198516 198573) (-171 "COMPPROP.spad" 197766 197774 198242 198247) (-170 "COMPLPAT.spad" 197533 197548 197756 197761) (-169 "COMPLEX.spad" 191557 191567 191801 192062) (-168 "COMPLEX2.spad" 191270 191282 191547 191552) (-167 "COMPFACT.spad" 190872 190886 191260 191265) (-166 "COMPCAT.spad" 188940 188950 190606 190867) (-165 "COMPCAT.spad" 186701 186713 188369 188374) (-164 "COMMUPC.spad" 186447 186465 186691 186696) (-163 "COMMONOP.spad" 185980 185988 186437 186442) (-162 "COMM.spad" 185789 185797 185970 185975) (-161 "COMMAAST.spad" 185552 185560 185779 185784) (-160 "COMBOPC.spad" 184457 184465 185542 185547) (-159 "COMBINAT.spad" 183202 183212 184447 184452) (-158 "COMBF.spad" 180570 180586 183192 183197) (-157 "COLOR.spad" 179407 179415 180560 180565) (-156 "COLONAST.spad" 179073 179081 179397 179402) (-155 "CMPLXRT.spad" 178782 178799 179063 179068) (-154 "CLLCTAST.spad" 178444 178452 178772 178777) (-153 "CLIP.spad" 174536 174544 178434 178439) (-152 "CLIF.spad" 173175 173191 174492 174531) (-151 "CLAGG.spad" 169660 169670 173165 173170) (-150 "CLAGG.spad" 166016 166028 169523 169528) (-149 "CINTSLPE.spad" 165341 165354 166006 166011) (-148 "CHVAR.spad" 163419 163441 165331 165336) (-147 "CHARZ.spad" 163334 163342 163399 163414) (-146 "CHARPOL.spad" 162842 162852 163324 163329) (-145 "CHARNZ.spad" 162595 162603 162822 162837) (-144 "CHAR.spad" 160463 160471 162585 162590) (-143 "CFCAT.spad" 159779 159787 160453 160458) (-142 "CDEN.spad" 158937 158951 159769 159774) (-141 "CCLASS.spad" 157086 157094 158348 158387) (-140 "CATEGORY.spad" 156176 156184 157076 157081) (-139 "CATCTOR.spad" 156067 156075 156166 156171) (-138 "CATAST.spad" 155685 155693 156057 156062) (-137 "CASEAST.spad" 155399 155407 155675 155680) (-136 "CARTEN.spad" 150502 150526 155389 155394) (-135 "CARTEN2.spad" 149888 149915 150492 150497) (-134 "CARD.spad" 147177 147185 149862 149883) (-133 "CAPSLAST.spad" 146951 146959 147167 147172) (-132 "CACHSET.spad" 146573 146581 146941 146946) (-131 "CABMON.spad" 146126 146134 146563 146568) (-130 "BYTEORD.spad" 145801 145809 146116 146121) (-129 "BYTE.spad" 145226 145234 145791 145796) (-128 "BYTEBUF.spad" 143083 143091 144395 144422) (-127 "BTREE.spad" 142152 142162 142690 142717) (-126 "BTOURN.spad" 141155 141165 141759 141786) (-125 "BTCAT.spad" 140543 140553 141123 141150) (-124 "BTCAT.spad" 139951 139963 140533 140538) (-123 "BTAGG.spad" 139073 139081 139919 139946) (-122 "BTAGG.spad" 138215 138225 139063 139068) (-121 "BSTREE.spad" 136950 136960 137822 137849) (-120 "BRILL.spad" 135145 135156 136940 136945) (-119 "BRAGG.spad" 134069 134079 135135 135140) (-118 "BRAGG.spad" 132957 132969 134025 134030) (-117 "BPADICRT.spad" 130938 130950 131193 131286) (-116 "BPADIC.spad" 130602 130614 130864 130933) (-115 "BOUNDZRO.spad" 130258 130275 130592 130597) (-114 "BOP.spad" 124996 125004 130248 130253) (-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