diff options
| -rw-r--r-- | src/ChangeLog | 5 | ||||
| -rw-r--r-- | src/algebra/prtition.spad.pamphlet | 27 | ||||
| -rw-r--r-- | src/share/algebra/browse.daase | 396 | ||||
| -rw-r--r-- | src/share/algebra/category.daase | 1392 | ||||
| -rw-r--r-- | src/share/algebra/compress.daase | 1328 | ||||
| -rw-r--r-- | src/share/algebra/interp.daase | 8020 | ||||
| -rw-r--r-- | src/share/algebra/operation.daase | 25520 |
7 files changed, 18360 insertions, 18328 deletions
diff --git a/src/ChangeLog b/src/ChangeLog index f751bc9a..5d8c1f2f 100644 --- a/src/ChangeLog +++ b/src/ChangeLog @@ -1,3 +1,8 @@ +2010-04-23 Gabriel Dos Reis <gdr@cs.tamu.edu> + + * algebra/prtition.spad.pamphlet (parts$Partition): New. + (partitions$Partition): Likewise. + 2010-04-22 Gabriel Dos Reis <gdr@cs.tamu.edu> * algebra/young.spad.pamphlet: New. diff --git a/src/algebra/prtition.spad.pamphlet b/src/algebra/prtition.spad.pamphlet index 062b1753..6fc92821 100644 --- a/src/algebra/prtition.spad.pamphlet +++ b/src/algebra/prtition.spad.pamphlet @@ -36,10 +36,18 @@ Partition(): Exports == Implementation where macro OUT == OutputForm macro NNI == NonNegativeInteger macro UN == Union(%,"failed") - + Exports == Join(OrderedCancellationAbelianMonoid, CoercibleTo L PI) with partition: L PI -> % ++ partition(li) converts a list of integers li to a partition + parts: % -> L PI + ++ \spad{parts x} returns the list of decreasing integer sequence + ++ making up the partition \spad{x}. + #: % -> NNI + ++ \spad{#x} returns the sum of all parts of the partition \spad{x}. + partitions: NNI -> Stream % + ++ \spad{partitions n} returns the stream of all partitions of + ++ size \spad{n}. powers: % -> List Pair(PI,PI) ++ powers(x) returns a list of pairs. The second component of ++ each pair is the multiplicity with which the first component @@ -57,6 +65,23 @@ Partition(): Exports == Implementation where 0 == per nil coerce(s: %): L PI == rep s partition list == per sort(#2 < #1,list) + parts x == rep x + + #x == + empty? rep x => 0 + +/[n for n in rep x] + + allPartitions(n: NNI, k: NNI): Stream % == + zero? n => cons(0,empty()$Stream(%)) + zero? k => empty()$Stream(%) + one? k => cons(partition [1 for i in 1..n], empty()$Stream(%)) + s := + n < k => empty()$Stream(%) + allPartitions((n-k)::NNI,k) + concat(map(per(cons(k::PI, rep #1)),s), allPartitions(n,(k-1)::NNI)) + + partitions n == allPartitions(n,n) + zero? x == empty? rep x x < y == rep x < rep y x = y == rep x = rep y diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase index d57c53bf..8138a230 100644 --- a/src/share/algebra/browse.daase +++ b/src/share/algebra/browse.daase @@ -1,5 +1,5 @@ -(2268689 . 3480912610) +(2269076 . 3480995946) (-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 @@ -88,10 +88,10 @@ 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 -1709 UP UPUP -1574) +(-40 -1709 UP UPUP -4299) ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}"))) ((-4445 |has| (-413 |#2|) (-368)) (-4450 |has| (-413 |#2|) (-368)) (-4444 |has| (-413 |#2|) (-368)) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| (-413 |#2|) (QUOTE (-146))) (|HasCategory| (-413 |#2|) (QUOTE (-148))) (|HasCategory| (-413 |#2|) (QUOTE (-354))) (-2895 (|HasCategory| (-413 |#2|) (QUOTE (-368))) (|HasCategory| (-413 |#2|) (QUOTE (-354)))) (|HasCategory| (-413 |#2|) (QUOTE (-368))) (|HasCategory| (-413 |#2|) (QUOTE (-373))) (-2895 (-12 (|HasCategory| (-413 |#2|) (QUOTE (-235))) (|HasCategory| (-413 |#2|) (QUOTE (-368)))) (|HasCategory| (-413 |#2|) (QUOTE (-354)))) (-2895 (-12 (|HasCategory| (-413 |#2|) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-413 |#2|) (QUOTE (-368)))) (-12 (|HasCategory| (-413 |#2|) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-413 |#2|) (QUOTE (-354))))) (|HasCategory| (-413 |#2|) (LIST (QUOTE -645) (QUOTE (-570)))) (-2895 (|HasCategory| (-413 |#2|) (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-413 |#2|) (QUOTE (-368)))) (|HasCategory| (-413 |#2|) (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-413 |#2|) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-373))) (-12 (|HasCategory| (-413 |#2|) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-413 |#2|) (QUOTE (-368)))) (-12 (|HasCategory| (-413 |#2|) (QUOTE (-235))) (|HasCategory| (-413 |#2|) (QUOTE (-368))))) +((|HasCategory| (-413 |#2|) (QUOTE (-146))) (|HasCategory| (-413 |#2|) (QUOTE (-148))) (|HasCategory| (-413 |#2|) (QUOTE (-354))) (-2892 (|HasCategory| (-413 |#2|) (QUOTE (-368))) (|HasCategory| (-413 |#2|) (QUOTE (-354)))) (|HasCategory| (-413 |#2|) (QUOTE (-368))) (|HasCategory| (-413 |#2|) (QUOTE (-373))) (-2892 (-12 (|HasCategory| (-413 |#2|) (QUOTE (-235))) (|HasCategory| (-413 |#2|) (QUOTE (-368)))) (|HasCategory| (-413 |#2|) (QUOTE (-354)))) (-2892 (-12 (|HasCategory| (-413 |#2|) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-413 |#2|) (QUOTE (-368)))) (-12 (|HasCategory| (-413 |#2|) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-413 |#2|) (QUOTE (-354))))) (|HasCategory| (-413 |#2|) (LIST (QUOTE -645) (QUOTE (-570)))) (-2892 (|HasCategory| (-413 |#2|) (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-413 |#2|) (QUOTE (-368)))) (|HasCategory| (-413 |#2|) (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-413 |#2|) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-373))) (-12 (|HasCategory| (-413 |#2|) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-413 |#2|) (QUOTE (-368)))) (-12 (|HasCategory| (-413 |#2|) (QUOTE (-235))) (|HasCategory| (-413 |#2|) (QUOTE (-368))))) (-41 R -1709) ((|constructor| (NIL "AlgebraicManipulations provides functions to simplify and expand expressions involving algebraic operators.")) (|rootKerSimp| ((|#2| (|BasicOperator|) |#2| (|NonNegativeInteger|)) "\\spad{rootKerSimp(op,f,n)} should be local but conditional.")) (|rootSimp| ((|#2| |#2|) "\\spad{rootSimp(f)} transforms every radical of the form \\spad{(a * b**(q*n+r))**(1/n)} appearing in \\spad{f} into \\spad{b**q * (a * b**r)**(1/n)}. This transformation is not in general valid for all complex numbers \\spad{b}.")) (|rootProduct| ((|#2| |#2|) "\\spad{rootProduct(f)} combines every product of the form \\spad{(a**(1/n))**m * (a**(1/s))**t} into a single power of a root of \\spad{a},{} and transforms every radical power of the form \\spad{(a**(1/n))**m} into a simpler form.")) (|rootPower| ((|#2| |#2|) "\\spad{rootPower(f)} transforms every radical power of the form \\spad{(a**(1/n))**m} into a simpler form if \\spad{m} and \\spad{n} have a common factor.")) (|ratPoly| (((|SparseUnivariatePolynomial| |#2|) |#2|) "\\spad{ratPoly(f)} returns a polynomial \\spad{p} such that \\spad{p} has no algebraic coefficients,{} and \\spad{p(f) = 0}.")) (|ratDenom| ((|#2| |#2| (|List| (|Kernel| |#2|))) "\\spad{ratDenom(f, [a1,...,an])} removes the \\spad{ai}\\spad{'s} which are algebraic from the denominators in \\spad{f}.") ((|#2| |#2| (|List| |#2|)) "\\spad{ratDenom(f, [a1,...,an])} removes the \\spad{ai}\\spad{'s} which are algebraic kernels from the denominators in \\spad{f}.") ((|#2| |#2| |#2|) "\\spad{ratDenom(f, a)} removes \\spad{a} from the denominators in \\spad{f} if \\spad{a} is an algebraic kernel.") ((|#2| |#2|) "\\spad{ratDenom(f)} rationalizes the denominators appearing in \\spad{f} by moving all the algebraic quantities into the numerators.")) (|rootSplit| ((|#2| |#2|) "\\spad{rootSplit(f)} transforms every radical of the form \\spad{(a/b)**(1/n)} appearing in \\spad{f} into \\spad{a**(1/n) / b**(1/n)}. This transformation is not in general valid for all complex numbers \\spad{a} and \\spad{b}.")) (|coerce| (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{coerce(x)} \\undocumented")) (|denom| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{denom(x)} \\undocumented")) (|numer| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{numer(x)} \\undocumented"))) NIL @@ -111,7 +111,7 @@ NIL (-45 |Key| |Entry|) ((|constructor| (NIL "\\spadtype{AssociationList} implements association lists. These may be viewed as lists of pairs where the first part is a key and the second is the stored value. For example,{} the key might be a string with a persons employee identification number and the value might be a record with personnel data."))) ((-4452 . T) (-4453 . T)) -((-2895 (-12 (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-856))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2107) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2340) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2107) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2340) (|devaluate| |#2|))))))) (-2895 (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-856))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -620) (QUOTE (-542)))) (-12 (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (-2895 (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-856))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| |#2| (QUOTE (-1109)))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (-2895 (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868))))) (-2895 (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| |#2| (QUOTE (-1109)))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2107) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2340) (|devaluate| |#2|))))))) +((-2892 (-12 (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-856))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2106) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2340) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2106) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2340) (|devaluate| |#2|))))))) (-2892 (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-856))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -620) (QUOTE (-542)))) (-12 (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (-2892 (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-856))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| |#2| (QUOTE (-1109)))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (-2892 (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868))))) (-2892 (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| |#2| (QUOTE (-1109)))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2106) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2340) (|devaluate| |#2|))))))) (-46 S R E) ((|constructor| (NIL "Abelian monoid ring elements (not necessarily of finite support) of this ring are of the form formal SUM (r_i * e_i) where the r_i are coefficents and the e_i,{} elements of the ordered abelian monoid,{} are thought of as exponents or monomials. The monomials commute with each other,{} and with the coefficients (which themselves may or may not be commutative). See \\spadtype{FiniteAbelianMonoidRing} for the case of finite support a useful common model for polynomials and power series. Conceptually at least,{} only the non-zero terms are ever operated on.")) (/ (($ $ |#2|) "\\spad{p/c} divides \\spad{p} by the coefficient \\spad{c}.")) (|coefficient| ((|#2| $ |#3|) "\\spad{coefficient(p,e)} extracts the coefficient of the monomial with exponent \\spad{e} from polynomial \\spad{p},{} or returns zero if exponent is not present.")) (|reductum| (($ $) "\\spad{reductum(u)} returns \\spad{u} minus its leading monomial returns zero if handed the zero element.")) (|monomial| (($ |#2| |#3|) "\\spad{monomial(r,e)} makes a term from a coefficient \\spad{r} and an exponent \\spad{e}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(p)} tests if \\spad{p} is a single monomial.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(fn,u)} maps function \\spad{fn} onto the coefficients of the non-zero monomials of \\spad{u}.")) (|degree| ((|#3| $) "\\spad{degree(p)} returns the maximum of the exponents of the terms of \\spad{p}.")) (|leadingMonomial| (($ $) "\\spad{leadingMonomial(p)} returns the monomial of \\spad{p} with the highest degree.")) (|leadingCoefficient| ((|#2| $) "\\spad{leadingCoefficient(p)} returns the coefficient highest degree term of \\spad{p}."))) NIL @@ -167,64 +167,64 @@ NIL (-59 S) ((|constructor| (NIL "This is the domain of 1-based one dimensional arrays")) (|oneDimensionalArray| (($ (|NonNegativeInteger|) |#1|) "\\spad{oneDimensionalArray(n,s)} creates an array from \\spad{n} copies of element \\spad{s}") (($ (|List| |#1|)) "\\spad{oneDimensionalArray(l)} creates an array from a list of elements \\spad{l}"))) ((-4453 . T) (-4452 . T)) -((-2895 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2895 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) +((-2892 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2892 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-60 R) ((|constructor| (NIL "\\indented{1}{A TwoDimensionalArray is a two dimensional array with} 1-based indexing for both rows and columns.")) (|shallowlyMutable| ((|attribute|) "One may destructively alter TwoDimensionalArray\\spad{'s}."))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) -(-61 -3602) +((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) +(-61 -3599) ((|constructor| (NIL "\\spadtype{ASP10} produces Fortran for Type 10 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package}. This ASP computes the values of a set of functions,{} for example:\\begin{verbatim} SUBROUTINE COEFFN(P,Q,DQDL,X,ELAM,JINT) DOUBLE PRECISION ELAM,P,Q,X,DQDL INTEGER JINT P=1.0D0 Q=((-1.0D0*X**3)+ELAM*X*X-2.0D0)/(X*X) DQDL=1.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE JINT) (QUOTE X) (QUOTE ELAM)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-62 -3602) +(-62 -3599) ((|constructor| (NIL "\\spadtype{Asp12} produces Fortran for Type 12 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package} etc.,{} for example:\\begin{verbatim} SUBROUTINE MONIT (MAXIT,IFLAG,ELAM,FINFO) DOUBLE PRECISION ELAM,FINFO(15) INTEGER MAXIT,IFLAG IF(MAXIT.EQ.-1)THEN PRINT*,\"Output from Monit\" ENDIF PRINT*,MAXIT,IFLAG,ELAM,(FINFO(I),I=1,4) RETURN END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP12}."))) NIL NIL -(-63 -3602) +(-63 -3599) ((|constructor| (NIL "\\spadtype{Asp19} produces Fortran for Type 19 ASPs,{} evaluating a set of functions and their jacobian at a given point,{} for example:\\begin{verbatim} SUBROUTINE LSFUN2(M,N,XC,FVECC,FJACC,LJC) DOUBLE PRECISION FVECC(M),FJACC(LJC,N),XC(N) INTEGER M,N,LJC INTEGER I,J DO 25003 I=1,LJC DO 25004 J=1,N FJACC(I,J)=0.0D025004 CONTINUE25003 CONTINUE FVECC(1)=((XC(1)-0.14D0)*XC(3)+(15.0D0*XC(1)-2.1D0)*XC(2)+1.0D0)/( &XC(3)+15.0D0*XC(2)) FVECC(2)=((XC(1)-0.18D0)*XC(3)+(7.0D0*XC(1)-1.26D0)*XC(2)+1.0D0)/( &XC(3)+7.0D0*XC(2)) FVECC(3)=((XC(1)-0.22D0)*XC(3)+(4.333333333333333D0*XC(1)-0.953333 &3333333333D0)*XC(2)+1.0D0)/(XC(3)+4.333333333333333D0*XC(2)) FVECC(4)=((XC(1)-0.25D0)*XC(3)+(3.0D0*XC(1)-0.75D0)*XC(2)+1.0D0)/( &XC(3)+3.0D0*XC(2)) FVECC(5)=((XC(1)-0.29D0)*XC(3)+(2.2D0*XC(1)-0.6379999999999999D0)* &XC(2)+1.0D0)/(XC(3)+2.2D0*XC(2)) FVECC(6)=((XC(1)-0.32D0)*XC(3)+(1.666666666666667D0*XC(1)-0.533333 &3333333333D0)*XC(2)+1.0D0)/(XC(3)+1.666666666666667D0*XC(2)) FVECC(7)=((XC(1)-0.35D0)*XC(3)+(1.285714285714286D0*XC(1)-0.45D0)* &XC(2)+1.0D0)/(XC(3)+1.285714285714286D0*XC(2)) FVECC(8)=((XC(1)-0.39D0)*XC(3)+(XC(1)-0.39D0)*XC(2)+1.0D0)/(XC(3)+ &XC(2)) FVECC(9)=((XC(1)-0.37D0)*XC(3)+(XC(1)-0.37D0)*XC(2)+1.285714285714 &286D0)/(XC(3)+XC(2)) FVECC(10)=((XC(1)-0.58D0)*XC(3)+(XC(1)-0.58D0)*XC(2)+1.66666666666 &6667D0)/(XC(3)+XC(2)) FVECC(11)=((XC(1)-0.73D0)*XC(3)+(XC(1)-0.73D0)*XC(2)+2.2D0)/(XC(3) &+XC(2)) FVECC(12)=((XC(1)-0.96D0)*XC(3)+(XC(1)-0.96D0)*XC(2)+3.0D0)/(XC(3) &+XC(2)) FVECC(13)=((XC(1)-1.34D0)*XC(3)+(XC(1)-1.34D0)*XC(2)+4.33333333333 &3333D0)/(XC(3)+XC(2)) FVECC(14)=((XC(1)-2.1D0)*XC(3)+(XC(1)-2.1D0)*XC(2)+7.0D0)/(XC(3)+X &C(2)) FVECC(15)=((XC(1)-4.39D0)*XC(3)+(XC(1)-4.39D0)*XC(2)+15.0D0)/(XC(3 &)+XC(2)) FJACC(1,1)=1.0D0 FJACC(1,2)=-15.0D0/(XC(3)**2+30.0D0*XC(2)*XC(3)+225.0D0*XC(2)**2) FJACC(1,3)=-1.0D0/(XC(3)**2+30.0D0*XC(2)*XC(3)+225.0D0*XC(2)**2) FJACC(2,1)=1.0D0 FJACC(2,2)=-7.0D0/(XC(3)**2+14.0D0*XC(2)*XC(3)+49.0D0*XC(2)**2) FJACC(2,3)=-1.0D0/(XC(3)**2+14.0D0*XC(2)*XC(3)+49.0D0*XC(2)**2) FJACC(3,1)=1.0D0 FJACC(3,2)=((-0.1110223024625157D-15*XC(3))-4.333333333333333D0)/( &XC(3)**2+8.666666666666666D0*XC(2)*XC(3)+18.77777777777778D0*XC(2) &**2) FJACC(3,3)=(0.1110223024625157D-15*XC(2)-1.0D0)/(XC(3)**2+8.666666 &666666666D0*XC(2)*XC(3)+18.77777777777778D0*XC(2)**2) FJACC(4,1)=1.0D0 FJACC(4,2)=-3.0D0/(XC(3)**2+6.0D0*XC(2)*XC(3)+9.0D0*XC(2)**2) FJACC(4,3)=-1.0D0/(XC(3)**2+6.0D0*XC(2)*XC(3)+9.0D0*XC(2)**2) FJACC(5,1)=1.0D0 FJACC(5,2)=((-0.1110223024625157D-15*XC(3))-2.2D0)/(XC(3)**2+4.399 &999999999999D0*XC(2)*XC(3)+4.839999999999998D0*XC(2)**2) FJACC(5,3)=(0.1110223024625157D-15*XC(2)-1.0D0)/(XC(3)**2+4.399999 &999999999D0*XC(2)*XC(3)+4.839999999999998D0*XC(2)**2) FJACC(6,1)=1.0D0 FJACC(6,2)=((-0.2220446049250313D-15*XC(3))-1.666666666666667D0)/( &XC(3)**2+3.333333333333333D0*XC(2)*XC(3)+2.777777777777777D0*XC(2) &**2) FJACC(6,3)=(0.2220446049250313D-15*XC(2)-1.0D0)/(XC(3)**2+3.333333 &333333333D0*XC(2)*XC(3)+2.777777777777777D0*XC(2)**2) FJACC(7,1)=1.0D0 FJACC(7,2)=((-0.5551115123125783D-16*XC(3))-1.285714285714286D0)/( &XC(3)**2+2.571428571428571D0*XC(2)*XC(3)+1.653061224489796D0*XC(2) &**2) FJACC(7,3)=(0.5551115123125783D-16*XC(2)-1.0D0)/(XC(3)**2+2.571428 &571428571D0*XC(2)*XC(3)+1.653061224489796D0*XC(2)**2) FJACC(8,1)=1.0D0 FJACC(8,2)=-1.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(8,3)=-1.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(9,1)=1.0D0 FJACC(9,2)=-1.285714285714286D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)* &*2) FJACC(9,3)=-1.285714285714286D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)* &*2) FJACC(10,1)=1.0D0 FJACC(10,2)=-1.666666666666667D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(10,3)=-1.666666666666667D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(11,1)=1.0D0 FJACC(11,2)=-2.2D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(11,3)=-2.2D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(12,1)=1.0D0 FJACC(12,2)=-3.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(12,3)=-3.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(13,1)=1.0D0 FJACC(13,2)=-4.333333333333333D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(13,3)=-4.333333333333333D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(14,1)=1.0D0 FJACC(14,2)=-7.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(14,3)=-7.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(15,1)=1.0D0 FJACC(15,2)=-15.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(15,3)=-15.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-64 -3602) +(-64 -3599) ((|constructor| (NIL "\\spadtype{Asp1} produces Fortran for Type 1 ASPs,{} needed for various NAG routines. Type 1 ASPs take a univariate expression (in the symbol \\spad{X}) and turn it into a Fortran Function like the following:\\begin{verbatim} DOUBLE PRECISION FUNCTION F(X) DOUBLE PRECISION X F=DSIN(X) RETURN END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL -(-65 -3602) +(-65 -3599) ((|constructor| (NIL "\\spadtype{Asp20} produces Fortran for Type 20 ASPs,{} for example:\\begin{verbatim} SUBROUTINE QPHESS(N,NROWH,NCOLH,JTHCOL,HESS,X,HX) DOUBLE PRECISION HX(N),X(N),HESS(NROWH,NCOLH) INTEGER JTHCOL,N,NROWH,NCOLH HX(1)=2.0D0*X(1) HX(2)=2.0D0*X(2) HX(3)=2.0D0*X(4)+2.0D0*X(3) HX(4)=2.0D0*X(4)+2.0D0*X(3) HX(5)=2.0D0*X(5) HX(6)=(-2.0D0*X(7))+(-2.0D0*X(6)) HX(7)=(-2.0D0*X(7))+(-2.0D0*X(6)) RETURN END\\end{verbatim}"))) NIL NIL -(-66 -3602) +(-66 -3599) ((|constructor| (NIL "\\spadtype{Asp24} produces Fortran for Type 24 ASPs which evaluate a multivariate function at a point (needed for NAG routine \\axiomOpFrom{e04jaf}{e04Package}),{} for example:\\begin{verbatim} SUBROUTINE FUNCT1(N,XC,FC) DOUBLE PRECISION FC,XC(N) INTEGER N FC=10.0D0*XC(4)**4+(-40.0D0*XC(1)*XC(4)**3)+(60.0D0*XC(1)**2+5 &.0D0)*XC(4)**2+((-10.0D0*XC(3))+(-40.0D0*XC(1)**3))*XC(4)+16.0D0*X &C(3)**4+(-32.0D0*XC(2)*XC(3)**3)+(24.0D0*XC(2)**2+5.0D0)*XC(3)**2+ &(-8.0D0*XC(2)**3*XC(3))+XC(2)**4+100.0D0*XC(2)**2+20.0D0*XC(1)*XC( &2)+10.0D0*XC(1)**4+XC(1)**2 RETURN END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL -(-67 -3602) +(-67 -3599) ((|constructor| (NIL "\\spadtype{Asp27} produces Fortran for Type 27 ASPs,{} needed for NAG routine \\axiomOpFrom{f02fjf}{f02Package} ,{}for example:\\begin{verbatim} FUNCTION DOT(IFLAG,N,Z,W,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION W(N),Z(N),RWORK(LRWORK) INTEGER N,LIWORK,IFLAG,LRWORK,IWORK(LIWORK) DOT=(W(16)+(-0.5D0*W(15)))*Z(16)+((-0.5D0*W(16))+W(15)+(-0.5D0*W(1 &4)))*Z(15)+((-0.5D0*W(15))+W(14)+(-0.5D0*W(13)))*Z(14)+((-0.5D0*W( &14))+W(13)+(-0.5D0*W(12)))*Z(13)+((-0.5D0*W(13))+W(12)+(-0.5D0*W(1 &1)))*Z(12)+((-0.5D0*W(12))+W(11)+(-0.5D0*W(10)))*Z(11)+((-0.5D0*W( &11))+W(10)+(-0.5D0*W(9)))*Z(10)+((-0.5D0*W(10))+W(9)+(-0.5D0*W(8)) &)*Z(9)+((-0.5D0*W(9))+W(8)+(-0.5D0*W(7)))*Z(8)+((-0.5D0*W(8))+W(7) &+(-0.5D0*W(6)))*Z(7)+((-0.5D0*W(7))+W(6)+(-0.5D0*W(5)))*Z(6)+((-0. &5D0*W(6))+W(5)+(-0.5D0*W(4)))*Z(5)+((-0.5D0*W(5))+W(4)+(-0.5D0*W(3 &)))*Z(4)+((-0.5D0*W(4))+W(3)+(-0.5D0*W(2)))*Z(3)+((-0.5D0*W(3))+W( &2)+(-0.5D0*W(1)))*Z(2)+((-0.5D0*W(2))+W(1))*Z(1) RETURN END\\end{verbatim}"))) NIL NIL -(-68 -3602) +(-68 -3599) ((|constructor| (NIL "\\spadtype{Asp28} produces Fortran for Type 28 ASPs,{} used in NAG routine \\axiomOpFrom{f02fjf}{f02Package},{} for example:\\begin{verbatim} SUBROUTINE IMAGE(IFLAG,N,Z,W,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION Z(N),W(N),IWORK(LRWORK),RWORK(LRWORK) INTEGER N,LIWORK,IFLAG,LRWORK W(1)=0.01707454969713436D0*Z(16)+0.001747395874954051D0*Z(15)+0.00 &2106973900813502D0*Z(14)+0.002957434991769087D0*Z(13)+(-0.00700554 &0882865317D0*Z(12))+(-0.01219194009813166D0*Z(11))+0.0037230647365 &3087D0*Z(10)+0.04932374658377151D0*Z(9)+(-0.03586220812223305D0*Z( &8))+(-0.04723268012114625D0*Z(7))+(-0.02434652144032987D0*Z(6))+0. &2264766947290192D0*Z(5)+(-0.1385343580686922D0*Z(4))+(-0.116530050 &8238904D0*Z(3))+(-0.2803531651057233D0*Z(2))+1.019463911841327D0*Z &(1) W(2)=0.0227345011107737D0*Z(16)+0.008812321197398072D0*Z(15)+0.010 &94012210519586D0*Z(14)+(-0.01764072463999744D0*Z(13))+(-0.01357136 &72105995D0*Z(12))+0.00157466157362272D0*Z(11)+0.05258889186338282D &0*Z(10)+(-0.01981532388243379D0*Z(9))+(-0.06095390688679697D0*Z(8) &)+(-0.04153119955569051D0*Z(7))+0.2176561076571465D0*Z(6)+(-0.0532 &5555586632358D0*Z(5))+(-0.1688977368984641D0*Z(4))+(-0.32440166056 &67343D0*Z(3))+0.9128222941872173D0*Z(2)+(-0.2419652703415429D0*Z(1 &)) W(3)=0.03371198197190302D0*Z(16)+0.02021603150122265D0*Z(15)+(-0.0 &06607305534689702D0*Z(14))+(-0.03032392238968179D0*Z(13))+0.002033 &305231024948D0*Z(12)+0.05375944956767728D0*Z(11)+(-0.0163213312502 &9967D0*Z(10))+(-0.05483186562035512D0*Z(9))+(-0.04901428822579872D &0*Z(8))+0.2091097927887612D0*Z(7)+(-0.05760560341383113D0*Z(6))+(- &0.1236679206156403D0*Z(5))+(-0.3523683853026259D0*Z(4))+0.88929961 &32269974D0*Z(3)+(-0.2995429545781457D0*Z(2))+(-0.02986582812574917 &D0*Z(1)) W(4)=0.05141563713660119D0*Z(16)+0.005239165960779299D0*Z(15)+(-0. &01623427735779699D0*Z(14))+(-0.01965809746040371D0*Z(13))+0.054688 &97337339577D0*Z(12)+(-0.014224695935687D0*Z(11))+(-0.0505181779315 &6355D0*Z(10))+(-0.04353074206076491D0*Z(9))+0.2012230497530726D0*Z &(8)+(-0.06630874514535952D0*Z(7))+(-0.1280829963720053D0*Z(6))+(-0 &.305169742604165D0*Z(5))+0.8600427128450191D0*Z(4)+(-0.32415033802 &68184D0*Z(3))+(-0.09033531980693314D0*Z(2))+0.09089205517109111D0* &Z(1) W(5)=0.04556369767776375D0*Z(16)+(-0.001822737697581869D0*Z(15))+( &-0.002512226501941856D0*Z(14))+0.02947046460707379D0*Z(13)+(-0.014 &45079632086177D0*Z(12))+(-0.05034242196614937D0*Z(11))+(-0.0376966 &3291725935D0*Z(10))+0.2171103102175198D0*Z(9)+(-0.0824949256021352 &4D0*Z(8))+(-0.1473995209288945D0*Z(7))+(-0.315042193418466D0*Z(6)) &+0.9591623347824002D0*Z(5)+(-0.3852396953763045D0*Z(4))+(-0.141718 &5427288274D0*Z(3))+(-0.03423495461011043D0*Z(2))+0.319820917706851 &6D0*Z(1) W(6)=0.04015147277405744D0*Z(16)+0.01328585741341559D0*Z(15)+0.048 &26082005465965D0*Z(14)+(-0.04319641116207706D0*Z(13))+(-0.04931323 &319055762D0*Z(12))+(-0.03526886317505474D0*Z(11))+0.22295383396730 &01D0*Z(10)+(-0.07375317649315155D0*Z(9))+(-0.1589391311991561D0*Z( &8))+(-0.328001910890377D0*Z(7))+0.952576555482747D0*Z(6)+(-0.31583 &09975786731D0*Z(5))+(-0.1846882042225383D0*Z(4))+(-0.0703762046700 &4427D0*Z(3))+0.2311852964327382D0*Z(2)+0.04254083491825025D0*Z(1) W(7)=0.06069778964023718D0*Z(16)+0.06681263884671322D0*Z(15)+(-0.0 &2113506688615768D0*Z(14))+(-0.083996867458326D0*Z(13))+(-0.0329843 &8523869648D0*Z(12))+0.2276878326327734D0*Z(11)+(-0.067356038933017 &95D0*Z(10))+(-0.1559813965382218D0*Z(9))+(-0.3363262957694705D0*Z( &8))+0.9442791158560948D0*Z(7)+(-0.3199955249404657D0*Z(6))+(-0.136 &2463839920727D0*Z(5))+(-0.1006185171570586D0*Z(4))+0.2057504515015 &423D0*Z(3)+(-0.02065879269286707D0*Z(2))+0.03160990266745513D0*Z(1 &) W(8)=0.126386868896738D0*Z(16)+0.002563370039476418D0*Z(15)+(-0.05 &581757739455641D0*Z(14))+(-0.07777893205900685D0*Z(13))+0.23117338 &45834199D0*Z(12)+(-0.06031581134427592D0*Z(11))+(-0.14805474755869 &52D0*Z(10))+(-0.3364014128402243D0*Z(9))+0.9364014128402244D0*Z(8) &+(-0.3269452524413048D0*Z(7))+(-0.1396841886557241D0*Z(6))+(-0.056 &1733845834199D0*Z(5))+0.1777789320590069D0*Z(4)+(-0.04418242260544 &359D0*Z(3))+(-0.02756337003947642D0*Z(2))+0.07361313110326199D0*Z( &1) W(9)=0.07361313110326199D0*Z(16)+(-0.02756337003947642D0*Z(15))+(- &0.04418242260544359D0*Z(14))+0.1777789320590069D0*Z(13)+(-0.056173 &3845834199D0*Z(12))+(-0.1396841886557241D0*Z(11))+(-0.326945252441 &3048D0*Z(10))+0.9364014128402244D0*Z(9)+(-0.3364014128402243D0*Z(8 &))+(-0.1480547475586952D0*Z(7))+(-0.06031581134427592D0*Z(6))+0.23 &11733845834199D0*Z(5)+(-0.07777893205900685D0*Z(4))+(-0.0558175773 &9455641D0*Z(3))+0.002563370039476418D0*Z(2)+0.126386868896738D0*Z( &1) W(10)=0.03160990266745513D0*Z(16)+(-0.02065879269286707D0*Z(15))+0 &.2057504515015423D0*Z(14)+(-0.1006185171570586D0*Z(13))+(-0.136246 &3839920727D0*Z(12))+(-0.3199955249404657D0*Z(11))+0.94427911585609 &48D0*Z(10)+(-0.3363262957694705D0*Z(9))+(-0.1559813965382218D0*Z(8 &))+(-0.06735603893301795D0*Z(7))+0.2276878326327734D0*Z(6)+(-0.032 &98438523869648D0*Z(5))+(-0.083996867458326D0*Z(4))+(-0.02113506688 &615768D0*Z(3))+0.06681263884671322D0*Z(2)+0.06069778964023718D0*Z( &1) W(11)=0.04254083491825025D0*Z(16)+0.2311852964327382D0*Z(15)+(-0.0 &7037620467004427D0*Z(14))+(-0.1846882042225383D0*Z(13))+(-0.315830 &9975786731D0*Z(12))+0.952576555482747D0*Z(11)+(-0.328001910890377D &0*Z(10))+(-0.1589391311991561D0*Z(9))+(-0.07375317649315155D0*Z(8) &)+0.2229538339673001D0*Z(7)+(-0.03526886317505474D0*Z(6))+(-0.0493 &1323319055762D0*Z(5))+(-0.04319641116207706D0*Z(4))+0.048260820054 &65965D0*Z(3)+0.01328585741341559D0*Z(2)+0.04015147277405744D0*Z(1) W(12)=0.3198209177068516D0*Z(16)+(-0.03423495461011043D0*Z(15))+(- &0.1417185427288274D0*Z(14))+(-0.3852396953763045D0*Z(13))+0.959162 &3347824002D0*Z(12)+(-0.315042193418466D0*Z(11))+(-0.14739952092889 &45D0*Z(10))+(-0.08249492560213524D0*Z(9))+0.2171103102175198D0*Z(8 &)+(-0.03769663291725935D0*Z(7))+(-0.05034242196614937D0*Z(6))+(-0. &01445079632086177D0*Z(5))+0.02947046460707379D0*Z(4)+(-0.002512226 &501941856D0*Z(3))+(-0.001822737697581869D0*Z(2))+0.045563697677763 &75D0*Z(1) W(13)=0.09089205517109111D0*Z(16)+(-0.09033531980693314D0*Z(15))+( &-0.3241503380268184D0*Z(14))+0.8600427128450191D0*Z(13)+(-0.305169 &742604165D0*Z(12))+(-0.1280829963720053D0*Z(11))+(-0.0663087451453 &5952D0*Z(10))+0.2012230497530726D0*Z(9)+(-0.04353074206076491D0*Z( &8))+(-0.05051817793156355D0*Z(7))+(-0.014224695935687D0*Z(6))+0.05 &468897337339577D0*Z(5)+(-0.01965809746040371D0*Z(4))+(-0.016234277 &35779699D0*Z(3))+0.005239165960779299D0*Z(2)+0.05141563713660119D0 &*Z(1) W(14)=(-0.02986582812574917D0*Z(16))+(-0.2995429545781457D0*Z(15)) &+0.8892996132269974D0*Z(14)+(-0.3523683853026259D0*Z(13))+(-0.1236 &679206156403D0*Z(12))+(-0.05760560341383113D0*Z(11))+0.20910979278 &87612D0*Z(10)+(-0.04901428822579872D0*Z(9))+(-0.05483186562035512D &0*Z(8))+(-0.01632133125029967D0*Z(7))+0.05375944956767728D0*Z(6)+0 &.002033305231024948D0*Z(5)+(-0.03032392238968179D0*Z(4))+(-0.00660 &7305534689702D0*Z(3))+0.02021603150122265D0*Z(2)+0.033711981971903 &02D0*Z(1) W(15)=(-0.2419652703415429D0*Z(16))+0.9128222941872173D0*Z(15)+(-0 &.3244016605667343D0*Z(14))+(-0.1688977368984641D0*Z(13))+(-0.05325 &555586632358D0*Z(12))+0.2176561076571465D0*Z(11)+(-0.0415311995556 &9051D0*Z(10))+(-0.06095390688679697D0*Z(9))+(-0.01981532388243379D &0*Z(8))+0.05258889186338282D0*Z(7)+0.00157466157362272D0*Z(6)+(-0. &0135713672105995D0*Z(5))+(-0.01764072463999744D0*Z(4))+0.010940122 &10519586D0*Z(3)+0.008812321197398072D0*Z(2)+0.0227345011107737D0*Z &(1) W(16)=1.019463911841327D0*Z(16)+(-0.2803531651057233D0*Z(15))+(-0. &1165300508238904D0*Z(14))+(-0.1385343580686922D0*Z(13))+0.22647669 &47290192D0*Z(12)+(-0.02434652144032987D0*Z(11))+(-0.04723268012114 &625D0*Z(10))+(-0.03586220812223305D0*Z(9))+0.04932374658377151D0*Z &(8)+0.00372306473653087D0*Z(7)+(-0.01219194009813166D0*Z(6))+(-0.0 &07005540882865317D0*Z(5))+0.002957434991769087D0*Z(4)+0.0021069739 &00813502D0*Z(3)+0.001747395874954051D0*Z(2)+0.01707454969713436D0* &Z(1) RETURN END\\end{verbatim}"))) NIL NIL -(-69 -3602) +(-69 -3599) ((|constructor| (NIL "\\spadtype{Asp29} produces Fortran for Type 29 ASPs,{} needed for NAG routine \\axiomOpFrom{f02fjf}{f02Package},{} for example:\\begin{verbatim} SUBROUTINE MONIT(ISTATE,NEXTIT,NEVALS,NEVECS,K,F,D) DOUBLE PRECISION D(K),F(K) INTEGER K,NEXTIT,NEVALS,NVECS,ISTATE CALL F02FJZ(ISTATE,NEXTIT,NEVALS,NEVECS,K,F,D) RETURN END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP29}."))) NIL NIL -(-70 -3602) +(-70 -3599) ((|constructor| (NIL "\\spadtype{Asp30} produces Fortran for Type 30 ASPs,{} needed for NAG routine \\axiomOpFrom{f04qaf}{f04Package},{} for example:\\begin{verbatim} SUBROUTINE APROD(MODE,M,N,X,Y,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION X(N),Y(M),RWORK(LRWORK) INTEGER M,N,LIWORK,IFAIL,LRWORK,IWORK(LIWORK),MODE DOUBLE PRECISION A(5,5) EXTERNAL F06PAF A(1,1)=1.0D0 A(1,2)=0.0D0 A(1,3)=0.0D0 A(1,4)=-1.0D0 A(1,5)=0.0D0 A(2,1)=0.0D0 A(2,2)=1.0D0 A(2,3)=0.0D0 A(2,4)=0.0D0 A(2,5)=-1.0D0 A(3,1)=0.0D0 A(3,2)=0.0D0 A(3,3)=1.0D0 A(3,4)=-1.0D0 A(3,5)=0.0D0 A(4,1)=-1.0D0 A(4,2)=0.0D0 A(4,3)=-1.0D0 A(4,4)=4.0D0 A(4,5)=-1.0D0 A(5,1)=0.0D0 A(5,2)=-1.0D0 A(5,3)=0.0D0 A(5,4)=-1.0D0 A(5,5)=4.0D0 IF(MODE.EQ.1)THEN CALL F06PAF('N',M,N,1.0D0,A,M,X,1,1.0D0,Y,1) ELSEIF(MODE.EQ.2)THEN CALL F06PAF('T',M,N,1.0D0,A,M,Y,1,1.0D0,X,1) ENDIF RETURN END\\end{verbatim}"))) NIL NIL -(-71 -3602) +(-71 -3599) ((|constructor| (NIL "\\spadtype{Asp31} produces Fortran for Type 31 ASPs,{} needed for NAG routine \\axiomOpFrom{d02ejf}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE PEDERV(X,Y,PW) DOUBLE PRECISION X,Y(*) DOUBLE PRECISION PW(3,3) PW(1,1)=-0.03999999999999999D0 PW(1,2)=10000.0D0*Y(3) PW(1,3)=10000.0D0*Y(2) PW(2,1)=0.03999999999999999D0 PW(2,2)=(-10000.0D0*Y(3))+(-60000000.0D0*Y(2)) PW(2,3)=-10000.0D0*Y(2) PW(3,1)=0.0D0 PW(3,2)=60000000.0D0*Y(2) PW(3,3)=0.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-72 -3602) +(-72 -3599) ((|constructor| (NIL "\\spadtype{Asp33} produces Fortran for Type 33 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package}. The code is a dummy ASP:\\begin{verbatim} SUBROUTINE REPORT(X,V,JINT) DOUBLE PRECISION V(3),X INTEGER JINT RETURN END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP33}."))) NIL NIL -(-73 -3602) +(-73 -3599) ((|constructor| (NIL "\\spadtype{Asp34} produces Fortran for Type 34 ASPs,{} needed for NAG routine \\axiomOpFrom{f04mbf}{f04Package},{} for example:\\begin{verbatim} SUBROUTINE MSOLVE(IFLAG,N,X,Y,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION RWORK(LRWORK),X(N),Y(N) INTEGER I,J,N,LIWORK,IFLAG,LRWORK,IWORK(LIWORK) DOUBLE PRECISION W1(3),W2(3),MS(3,3) IFLAG=-1 MS(1,1)=2.0D0 MS(1,2)=1.0D0 MS(1,3)=0.0D0 MS(2,1)=1.0D0 MS(2,2)=2.0D0 MS(2,3)=1.0D0 MS(3,1)=0.0D0 MS(3,2)=1.0D0 MS(3,3)=2.0D0 CALL F04ASF(MS,N,X,N,Y,W1,W2,IFLAG) IFLAG=-IFLAG RETURN END\\end{verbatim}"))) NIL NIL -(-74 -3602) +(-74 -3599) ((|constructor| (NIL "\\spadtype{Asp35} produces Fortran for Type 35 ASPs,{} needed for NAG routines \\axiomOpFrom{c05pbf}{c05Package},{} \\axiomOpFrom{c05pcf}{c05Package},{} for example:\\begin{verbatim} SUBROUTINE FCN(N,X,FVEC,FJAC,LDFJAC,IFLAG) DOUBLE PRECISION X(N),FVEC(N),FJAC(LDFJAC,N) INTEGER LDFJAC,N,IFLAG IF(IFLAG.EQ.1)THEN FVEC(1)=(-1.0D0*X(2))+X(1) FVEC(2)=(-1.0D0*X(3))+2.0D0*X(2) FVEC(3)=3.0D0*X(3) ELSEIF(IFLAG.EQ.2)THEN FJAC(1,1)=1.0D0 FJAC(1,2)=-1.0D0 FJAC(1,3)=0.0D0 FJAC(2,1)=0.0D0 FJAC(2,2)=2.0D0 FJAC(2,3)=-1.0D0 FJAC(3,1)=0.0D0 FJAC(3,2)=0.0D0 FJAC(3,3)=3.0D0 ENDIF END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL @@ -236,55 +236,55 @@ NIL ((|constructor| (NIL "\\spadtype{Asp42} produces Fortran for Type 42 ASPs,{} needed for NAG routines \\axiomOpFrom{d02raf}{d02Package} and \\axiomOpFrom{d02saf}{d02Package} in particular. These ASPs are in fact three Fortran routines which return a vector of functions,{} and their derivatives \\spad{wrt} \\spad{Y}(\\spad{i}) and also a continuation parameter EPS,{} for example:\\begin{verbatim} SUBROUTINE G(EPS,YA,YB,BC,N) DOUBLE PRECISION EPS,YA(N),YB(N),BC(N) INTEGER N BC(1)=YA(1) BC(2)=YA(2) BC(3)=YB(2)-1.0D0 RETURN END SUBROUTINE JACOBG(EPS,YA,YB,AJ,BJ,N) DOUBLE PRECISION EPS,YA(N),AJ(N,N),BJ(N,N),YB(N) INTEGER N AJ(1,1)=1.0D0 AJ(1,2)=0.0D0 AJ(1,3)=0.0D0 AJ(2,1)=0.0D0 AJ(2,2)=1.0D0 AJ(2,3)=0.0D0 AJ(3,1)=0.0D0 AJ(3,2)=0.0D0 AJ(3,3)=0.0D0 BJ(1,1)=0.0D0 BJ(1,2)=0.0D0 BJ(1,3)=0.0D0 BJ(2,1)=0.0D0 BJ(2,2)=0.0D0 BJ(2,3)=0.0D0 BJ(3,1)=0.0D0 BJ(3,2)=1.0D0 BJ(3,3)=0.0D0 RETURN END SUBROUTINE JACGEP(EPS,YA,YB,BCEP,N) DOUBLE PRECISION EPS,YA(N),YB(N),BCEP(N) INTEGER N BCEP(1)=0.0D0 BCEP(2)=0.0D0 BCEP(3)=0.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE EPS)) (|construct| (QUOTE YA) (QUOTE YB)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-77 -3602) +(-77 -3599) ((|constructor| (NIL "\\spadtype{Asp49} produces Fortran for Type 49 ASPs,{} needed for NAG routines \\axiomOpFrom{e04dgf}{e04Package},{} \\axiomOpFrom{e04ucf}{e04Package},{} for example:\\begin{verbatim} SUBROUTINE OBJFUN(MODE,N,X,OBJF,OBJGRD,NSTATE,IUSER,USER) DOUBLE PRECISION X(N),OBJF,OBJGRD(N),USER(*) INTEGER N,IUSER(*),MODE,NSTATE OBJF=X(4)*X(9)+((-1.0D0*X(5))+X(3))*X(8)+((-1.0D0*X(3))+X(1))*X(7) &+(-1.0D0*X(2)*X(6)) OBJGRD(1)=X(7) OBJGRD(2)=-1.0D0*X(6) OBJGRD(3)=X(8)+(-1.0D0*X(7)) OBJGRD(4)=X(9) OBJGRD(5)=-1.0D0*X(8) OBJGRD(6)=-1.0D0*X(2) OBJGRD(7)=(-1.0D0*X(3))+X(1) OBJGRD(8)=(-1.0D0*X(5))+X(3) OBJGRD(9)=X(4) RETURN END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL -(-78 -3602) +(-78 -3599) ((|constructor| (NIL "\\spadtype{Asp4} produces Fortran for Type 4 ASPs,{} which take an expression in \\spad{X}(1) .. \\spad{X}(NDIM) and produce a real function of the form:\\begin{verbatim} DOUBLE PRECISION FUNCTION FUNCTN(NDIM,X) DOUBLE PRECISION X(NDIM) INTEGER NDIM FUNCTN=(4.0D0*X(1)*X(3)**2*DEXP(2.0D0*X(1)*X(3)))/(X(4)**2+(2.0D0* &X(2)+2.0D0)*X(4)+X(2)**2+2.0D0*X(2)+1.0D0) RETURN END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL -(-79 -3602) +(-79 -3599) ((|constructor| (NIL "\\spadtype{Asp50} produces Fortran for Type 50 ASPs,{} needed for NAG routine \\axiomOpFrom{e04fdf}{e04Package},{} for example:\\begin{verbatim} SUBROUTINE LSFUN1(M,N,XC,FVECC) DOUBLE PRECISION FVECC(M),XC(N) INTEGER I,M,N FVECC(1)=((XC(1)-2.4D0)*XC(3)+(15.0D0*XC(1)-36.0D0)*XC(2)+1.0D0)/( &XC(3)+15.0D0*XC(2)) FVECC(2)=((XC(1)-2.8D0)*XC(3)+(7.0D0*XC(1)-19.6D0)*XC(2)+1.0D0)/(X &C(3)+7.0D0*XC(2)) FVECC(3)=((XC(1)-3.2D0)*XC(3)+(4.333333333333333D0*XC(1)-13.866666 &66666667D0)*XC(2)+1.0D0)/(XC(3)+4.333333333333333D0*XC(2)) FVECC(4)=((XC(1)-3.5D0)*XC(3)+(3.0D0*XC(1)-10.5D0)*XC(2)+1.0D0)/(X &C(3)+3.0D0*XC(2)) FVECC(5)=((XC(1)-3.9D0)*XC(3)+(2.2D0*XC(1)-8.579999999999998D0)*XC &(2)+1.0D0)/(XC(3)+2.2D0*XC(2)) FVECC(6)=((XC(1)-4.199999999999999D0)*XC(3)+(1.666666666666667D0*X &C(1)-7.0D0)*XC(2)+1.0D0)/(XC(3)+1.666666666666667D0*XC(2)) FVECC(7)=((XC(1)-4.5D0)*XC(3)+(1.285714285714286D0*XC(1)-5.7857142 &85714286D0)*XC(2)+1.0D0)/(XC(3)+1.285714285714286D0*XC(2)) FVECC(8)=((XC(1)-4.899999999999999D0)*XC(3)+(XC(1)-4.8999999999999 &99D0)*XC(2)+1.0D0)/(XC(3)+XC(2)) FVECC(9)=((XC(1)-4.699999999999999D0)*XC(3)+(XC(1)-4.6999999999999 &99D0)*XC(2)+1.285714285714286D0)/(XC(3)+XC(2)) FVECC(10)=((XC(1)-6.8D0)*XC(3)+(XC(1)-6.8D0)*XC(2)+1.6666666666666 &67D0)/(XC(3)+XC(2)) FVECC(11)=((XC(1)-8.299999999999999D0)*XC(3)+(XC(1)-8.299999999999 &999D0)*XC(2)+2.2D0)/(XC(3)+XC(2)) FVECC(12)=((XC(1)-10.6D0)*XC(3)+(XC(1)-10.6D0)*XC(2)+3.0D0)/(XC(3) &+XC(2)) FVECC(13)=((XC(1)-1.34D0)*XC(3)+(XC(1)-1.34D0)*XC(2)+4.33333333333 &3333D0)/(XC(3)+XC(2)) FVECC(14)=((XC(1)-2.1D0)*XC(3)+(XC(1)-2.1D0)*XC(2)+7.0D0)/(XC(3)+X &C(2)) FVECC(15)=((XC(1)-4.39D0)*XC(3)+(XC(1)-4.39D0)*XC(2)+15.0D0)/(XC(3 &)+XC(2)) END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-80 -3602) +(-80 -3599) ((|constructor| (NIL "\\spadtype{Asp55} produces Fortran for Type 55 ASPs,{} needed for NAG routines \\axiomOpFrom{e04dgf}{e04Package} and \\axiomOpFrom{e04ucf}{e04Package},{} for example:\\begin{verbatim} SUBROUTINE CONFUN(MODE,NCNLN,N,NROWJ,NEEDC,X,C,CJAC,NSTATE,IUSER &,USER) DOUBLE PRECISION C(NCNLN),X(N),CJAC(NROWJ,N),USER(*) INTEGER N,IUSER(*),NEEDC(NCNLN),NROWJ,MODE,NCNLN,NSTATE IF(NEEDC(1).GT.0)THEN C(1)=X(6)**2+X(1)**2 CJAC(1,1)=2.0D0*X(1) CJAC(1,2)=0.0D0 CJAC(1,3)=0.0D0 CJAC(1,4)=0.0D0 CJAC(1,5)=0.0D0 CJAC(1,6)=2.0D0*X(6) ENDIF IF(NEEDC(2).GT.0)THEN C(2)=X(2)**2+(-2.0D0*X(1)*X(2))+X(1)**2 CJAC(2,1)=(-2.0D0*X(2))+2.0D0*X(1) CJAC(2,2)=2.0D0*X(2)+(-2.0D0*X(1)) CJAC(2,3)=0.0D0 CJAC(2,4)=0.0D0 CJAC(2,5)=0.0D0 CJAC(2,6)=0.0D0 ENDIF IF(NEEDC(3).GT.0)THEN C(3)=X(3)**2+(-2.0D0*X(1)*X(3))+X(2)**2+X(1)**2 CJAC(3,1)=(-2.0D0*X(3))+2.0D0*X(1) CJAC(3,2)=2.0D0*X(2) CJAC(3,3)=2.0D0*X(3)+(-2.0D0*X(1)) CJAC(3,4)=0.0D0 CJAC(3,5)=0.0D0 CJAC(3,6)=0.0D0 ENDIF RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-81 -3602) +(-81 -3599) ((|constructor| (NIL "\\spadtype{Asp6} produces Fortran for Type 6 ASPs,{} needed for NAG routines \\axiomOpFrom{c05nbf}{c05Package},{} \\axiomOpFrom{c05ncf}{c05Package}. These represent vectors of functions of \\spad{X}(\\spad{i}) and look like:\\begin{verbatim} SUBROUTINE FCN(N,X,FVEC,IFLAG) DOUBLE PRECISION X(N),FVEC(N) INTEGER N,IFLAG FVEC(1)=(-2.0D0*X(2))+(-2.0D0*X(1)**2)+3.0D0*X(1)+1.0D0 FVEC(2)=(-2.0D0*X(3))+(-2.0D0*X(2)**2)+3.0D0*X(2)+(-1.0D0*X(1))+1. &0D0 FVEC(3)=(-2.0D0*X(4))+(-2.0D0*X(3)**2)+3.0D0*X(3)+(-1.0D0*X(2))+1. &0D0 FVEC(4)=(-2.0D0*X(5))+(-2.0D0*X(4)**2)+3.0D0*X(4)+(-1.0D0*X(3))+1. &0D0 FVEC(5)=(-2.0D0*X(6))+(-2.0D0*X(5)**2)+3.0D0*X(5)+(-1.0D0*X(4))+1. &0D0 FVEC(6)=(-2.0D0*X(7))+(-2.0D0*X(6)**2)+3.0D0*X(6)+(-1.0D0*X(5))+1. &0D0 FVEC(7)=(-2.0D0*X(8))+(-2.0D0*X(7)**2)+3.0D0*X(7)+(-1.0D0*X(6))+1. &0D0 FVEC(8)=(-2.0D0*X(9))+(-2.0D0*X(8)**2)+3.0D0*X(8)+(-1.0D0*X(7))+1. &0D0 FVEC(9)=(-2.0D0*X(9)**2)+3.0D0*X(9)+(-1.0D0*X(8))+1.0D0 RETURN END\\end{verbatim}"))) NIL NIL -(-82 -3602) +(-82 -3599) ((|constructor| (NIL "\\spadtype{Asp73} produces Fortran for Type 73 ASPs,{} needed for NAG routine \\axiomOpFrom{d03eef}{d03Package},{} for example:\\begin{verbatim} SUBROUTINE PDEF(X,Y,ALPHA,BETA,GAMMA,DELTA,EPSOLN,PHI,PSI) DOUBLE PRECISION ALPHA,EPSOLN,PHI,X,Y,BETA,DELTA,GAMMA,PSI ALPHA=DSIN(X) BETA=Y GAMMA=X*Y DELTA=DCOS(X)*DSIN(Y) EPSOLN=Y+X PHI=X PSI=Y RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X) (QUOTE Y)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-83 -3602) +(-83 -3599) ((|constructor| (NIL "\\spadtype{Asp74} produces Fortran for Type 74 ASPs,{} needed for NAG routine \\axiomOpFrom{d03eef}{d03Package},{} for example:\\begin{verbatim} SUBROUTINE BNDY(X,Y,A,B,C,IBND) DOUBLE PRECISION A,B,C,X,Y INTEGER IBND IF(IBND.EQ.0)THEN A=0.0D0 B=1.0D0 C=-1.0D0*DSIN(X) ELSEIF(IBND.EQ.1)THEN A=1.0D0 B=0.0D0 C=DSIN(X)*DSIN(Y) ELSEIF(IBND.EQ.2)THEN A=1.0D0 B=0.0D0 C=DSIN(X)*DSIN(Y) ELSEIF(IBND.EQ.3)THEN A=0.0D0 B=1.0D0 C=-1.0D0*DSIN(Y) ENDIF END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE X) (QUOTE Y)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-84 -3602) +(-84 -3599) ((|constructor| (NIL "\\spadtype{Asp77} produces Fortran for Type 77 ASPs,{} needed for NAG routine \\axiomOpFrom{d02gbf}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE FCNF(X,F) DOUBLE PRECISION X DOUBLE PRECISION F(2,2) F(1,1)=0.0D0 F(1,2)=1.0D0 F(2,1)=0.0D0 F(2,2)=-10.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-85 -3602) +(-85 -3599) ((|constructor| (NIL "\\spadtype{Asp78} produces Fortran for Type 78 ASPs,{} needed for NAG routine \\axiomOpFrom{d02gbf}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE FCNG(X,G) DOUBLE PRECISION G(*),X G(1)=0.0D0 G(2)=0.0D0 END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-86 -3602) +(-86 -3599) ((|constructor| (NIL "\\spadtype{Asp7} produces Fortran for Type 7 ASPs,{} needed for NAG routines \\axiomOpFrom{d02bbf}{d02Package},{} \\axiomOpFrom{d02gaf}{d02Package}. These represent a vector of functions of the scalar \\spad{X} and the array \\spad{Z},{} and look like:\\begin{verbatim} SUBROUTINE FCN(X,Z,F) DOUBLE PRECISION F(*),X,Z(*) F(1)=DTAN(Z(3)) F(2)=((-0.03199999999999999D0*DCOS(Z(3))*DTAN(Z(3)))+(-0.02D0*Z(2) &**2))/(Z(2)*DCOS(Z(3))) F(3)=-0.03199999999999999D0/(X*Z(2)**2) RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-87 -3602) +(-87 -3599) ((|constructor| (NIL "\\spadtype{Asp80} produces Fortran for Type 80 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE BDYVAL(XL,XR,ELAM,YL,YR) DOUBLE PRECISION ELAM,XL,YL(3),XR,YR(3) YL(1)=XL YL(2)=2.0D0 YR(1)=1.0D0 YR(2)=-1.0D0*DSQRT(XR+(-1.0D0*ELAM)) RETURN END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE XL) (QUOTE XR) (QUOTE ELAM)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-88 -3602) +(-88 -3599) ((|constructor| (NIL "\\spadtype{Asp8} produces Fortran for Type 8 ASPs,{} needed for NAG routine \\axiomOpFrom{d02bbf}{d02Package}. This ASP prints intermediate values of the computed solution of an ODE and might look like:\\begin{verbatim} SUBROUTINE OUTPUT(XSOL,Y,COUNT,M,N,RESULT,FORWRD) DOUBLE PRECISION Y(N),RESULT(M,N),XSOL INTEGER M,N,COUNT LOGICAL FORWRD DOUBLE PRECISION X02ALF,POINTS(8) EXTERNAL X02ALF INTEGER I POINTS(1)=1.0D0 POINTS(2)=2.0D0 POINTS(3)=3.0D0 POINTS(4)=4.0D0 POINTS(5)=5.0D0 POINTS(6)=6.0D0 POINTS(7)=7.0D0 POINTS(8)=8.0D0 COUNT=COUNT+1 DO 25001 I=1,N RESULT(COUNT,I)=Y(I)25001 CONTINUE IF(COUNT.EQ.M)THEN IF(FORWRD)THEN XSOL=X02ALF() ELSE XSOL=-X02ALF() ENDIF ELSE XSOL=POINTS(COUNT) ENDIF END\\end{verbatim}"))) NIL NIL -(-89 -3602) +(-89 -3599) ((|constructor| (NIL "\\spadtype{Asp9} produces Fortran for Type 9 ASPs,{} needed for NAG routines \\axiomOpFrom{d02bhf}{d02Package},{} \\axiomOpFrom{d02cjf}{d02Package},{} \\axiomOpFrom{d02ejf}{d02Package}. These ASPs represent a function of a scalar \\spad{X} and a vector \\spad{Y},{} for example:\\begin{verbatim} DOUBLE PRECISION FUNCTION G(X,Y) DOUBLE PRECISION X,Y(*) G=X+Y(1) RETURN END\\end{verbatim} If the user provides a constant value for \\spad{G},{} then extra information is added via COMMON blocks used by certain routines. This specifies that the value returned by \\spad{G} in this case is to be ignored.")) (|coerce| (($ (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL @@ -295,7 +295,7 @@ NIL (-91 S) ((|constructor| (NIL "A stack represented as a flexible array.")) (|arrayStack| (($ (|List| |#1|)) "\\spad{arrayStack([x,y,...,z])} creates an array stack with first (top) element \\spad{x},{} second element \\spad{y},{}...,{}and last element \\spad{z}."))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (-92 S) ((|constructor| (NIL "This is the category of Spad abstract syntax trees."))) NIL @@ -343,7 +343,7 @@ NIL (-103 S) ((|constructor| (NIL "\\spadtype{BalancedBinaryTree(S)} is the domain of balanced binary trees (bbtree). A balanced binary tree of \\spad{2**k} leaves,{} for some \\spad{k > 0},{} is symmetric,{} that is,{} the left and right subtree of each interior node have identical shape. In general,{} the left and right subtree of a given node can differ by at most leaf node.")) (|mapDown!| (($ $ |#1| (|Mapping| (|List| |#1|) |#1| |#1| |#1|)) "\\spad{mapDown!(t,p,f)} returns \\spad{t} after traversing \\spad{t} in \"preorder\" (node then left then right) fashion replacing the successive interior nodes as follows. Let \\spad{l} and \\spad{r} denote the left and right subtrees of \\spad{t}. The root value \\spad{x} of \\spad{t} is replaced by \\spad{p}. Then \\spad{f}(value \\spad{l},{} value \\spad{r},{} \\spad{p}),{} where \\spad{l} and \\spad{r} denote the left and right subtrees of \\spad{t},{} is evaluated producing two values \\spad{pl} and \\spad{pr}. Then \\spad{mapDown!(l,pl,f)} and \\spad{mapDown!(l,pr,f)} are evaluated.") (($ $ |#1| (|Mapping| |#1| |#1| |#1|)) "\\spad{mapDown!(t,p,f)} returns \\spad{t} after traversing \\spad{t} in \"preorder\" (node then left then right) fashion replacing the successive interior nodes as follows. The root value \\spad{x} is replaced by \\spad{q} \\spad{:=} \\spad{f}(\\spad{p},{}\\spad{x}). The mapDown!(\\spad{l},{}\\spad{q},{}\\spad{f}) and mapDown!(\\spad{r},{}\\spad{q},{}\\spad{f}) are evaluated for the left and right subtrees \\spad{l} and \\spad{r} of \\spad{t}.")) (|mapUp!| (($ $ $ (|Mapping| |#1| |#1| |#1| |#1| |#1|)) "\\spad{mapUp!(t,t1,f)} traverses \\spad{t} in an \"endorder\" (left then right then node) fashion returning \\spad{t} with the value at each successive interior node of \\spad{t} replaced by \\spad{f}(\\spad{l},{}\\spad{r},{}\\spad{l1},{}\\spad{r1}) where \\spad{l} and \\spad{r} are the values at the immediate left and right nodes. Values \\spad{l1} and \\spad{r1} are values at the corresponding nodes of a balanced binary tree \\spad{t1},{} of identical shape at \\spad{t}.") ((|#1| $ (|Mapping| |#1| |#1| |#1|)) "\\spad{mapUp!(t,f)} traverses balanced binary tree \\spad{t} in an \"endorder\" (left then right then node) fashion returning \\spad{t} with the value at each successive interior node of \\spad{t} replaced by \\spad{f}(\\spad{l},{}\\spad{r}) where \\spad{l} and \\spad{r} are the values at the immediate left and right nodes.")) (|setleaves!| (($ $ (|List| |#1|)) "\\spad{setleaves!(t, ls)} sets the leaves of \\spad{t} in left-to-right order to the elements of \\spad{ls}.")) (|balancedBinaryTree| (($ (|NonNegativeInteger|) |#1|) "\\spad{balancedBinaryTree(n, s)} creates a balanced binary tree with \\spad{n} nodes each with value \\spad{s}."))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (-104 R UP M |Row| |Col|) ((|constructor| (NIL "\\spadtype{BezoutMatrix} contains functions for computing resultants and discriminants using Bezout matrices.")) (|bezoutDiscriminant| ((|#1| |#2|) "\\spad{bezoutDiscriminant(p)} computes the discriminant of a polynomial \\spad{p} by computing the determinant of a Bezout matrix.")) (|bezoutResultant| ((|#1| |#2| |#2|) "\\spad{bezoutResultant(p,q)} computes the resultant of the two polynomials \\spad{p} and \\spad{q} by computing the determinant of a Bezout matrix.")) (|bezoutMatrix| ((|#3| |#2| |#2|) "\\spad{bezoutMatrix(p,q)} returns the Bezout matrix for the two polynomials \\spad{p} and \\spad{q}.")) (|sylvesterMatrix| ((|#3| |#2| |#2|) "\\spad{sylvesterMatrix(p,q)} returns the Sylvester matrix for the two polynomials \\spad{p} and \\spad{q}."))) NIL @@ -363,7 +363,7 @@ NIL (-108) ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating binary expansions.")) (|binary| (($ (|Fraction| (|Integer|))) "\\spad{binary(r)} converts a rational number to a binary expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(b)} returns the fractional part of a binary expansion."))) ((-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| (-570) (QUOTE (-916))) (|HasCategory| (-570) (LIST (QUOTE -1047) (QUOTE (-1186)))) (|HasCategory| (-570) (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-148))) (|HasCategory| (-570) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-570) (QUOTE (-1031))) (|HasCategory| (-570) (QUOTE (-826))) (-2895 (|HasCategory| (-570) (QUOTE (-826))) (|HasCategory| (-570) (QUOTE (-856)))) (|HasCategory| (-570) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-570) (QUOTE (-1161))) (|HasCategory| (-570) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| (-570) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| (-570) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| (-570) (QUOTE (-235))) (|HasCategory| (-570) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-570) (LIST (QUOTE -520) (QUOTE (-1186)) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -313) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -290) (QUOTE (-570)) (QUOTE (-570)))) (|HasCategory| (-570) (QUOTE (-311))) (|HasCategory| (-570) (QUOTE (-551))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| (-570) (LIST (QUOTE -645) (QUOTE (-570)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-916)))) (-2895 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-916)))) (|HasCategory| (-570) (QUOTE (-146))))) +((|HasCategory| (-570) (QUOTE (-916))) (|HasCategory| (-570) (LIST (QUOTE -1047) (QUOTE (-1186)))) (|HasCategory| (-570) (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-148))) (|HasCategory| (-570) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-570) (QUOTE (-1031))) (|HasCategory| (-570) (QUOTE (-826))) (-2892 (|HasCategory| (-570) (QUOTE (-826))) (|HasCategory| (-570) (QUOTE (-856)))) (|HasCategory| (-570) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-570) (QUOTE (-1161))) (|HasCategory| (-570) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| (-570) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| (-570) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| (-570) (QUOTE (-235))) (|HasCategory| (-570) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-570) (LIST (QUOTE -520) (QUOTE (-1186)) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -313) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -290) (QUOTE (-570)) (QUOTE (-570)))) (|HasCategory| (-570) (QUOTE (-311))) (|HasCategory| (-570) (QUOTE (-551))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| (-570) (LIST (QUOTE -645) (QUOTE (-570)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-916)))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-916)))) (|HasCategory| (-570) (QUOTE (-146))))) (-109) ((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 18,{} 2008. A `Binding' is a name asosciated with a collection of properties.")) (|binding| (($ (|Identifier|) (|List| (|Property|))) "\\spad{binding(n,props)} constructs a binding with name \\spad{`n'} and property list `props'.")) (|properties| (((|List| (|Property|)) $) "\\spad{properties(b)} returns the properties associated with binding \\spad{b}.")) (|name| (((|Identifier|) $) "\\spad{name(b)} returns the name of binding \\spad{b}"))) NIL @@ -403,7 +403,7 @@ NIL (-118 |p|) ((|constructor| (NIL "Stream-based implementation of \\spad{Qp:} numbers are represented as sum(\\spad{i} = \\spad{k}..,{} a[\\spad{i}] * p^i),{} where the a[\\spad{i}] lie in -(\\spad{p} - 1)\\spad{/2},{}...,{}(\\spad{p} - 1)\\spad{/2}."))) ((-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| (-117 |#1|) (QUOTE (-916))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1047) (QUOTE (-1186)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-148))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-117 |#1|) (QUOTE (-1031))) (|HasCategory| (-117 |#1|) (QUOTE (-826))) (-2895 (|HasCategory| (-117 |#1|) (QUOTE (-826))) (|HasCategory| (-117 |#1|) (QUOTE (-856)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-117 |#1|) (QUOTE (-1161))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| (-117 |#1|) (QUOTE (-235))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -520) (QUOTE (-1186)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -313) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -290) (LIST (QUOTE -117) (|devaluate| |#1|)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (QUOTE (-311))) (|HasCategory| (-117 |#1|) (QUOTE (-551))) (|HasCategory| (-117 |#1|) (QUOTE (-856))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-916)))) (-2895 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-916)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))))) +((|HasCategory| (-117 |#1|) (QUOTE (-916))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1047) (QUOTE (-1186)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-148))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-117 |#1|) (QUOTE (-1031))) (|HasCategory| (-117 |#1|) (QUOTE (-826))) (-2892 (|HasCategory| (-117 |#1|) (QUOTE (-826))) (|HasCategory| (-117 |#1|) (QUOTE (-856)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-117 |#1|) (QUOTE (-1161))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| (-117 |#1|) (QUOTE (-235))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -520) (QUOTE (-1186)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -313) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -290) (LIST (QUOTE -117) (|devaluate| |#1|)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (QUOTE (-311))) (|HasCategory| (-117 |#1|) (QUOTE (-551))) (|HasCategory| (-117 |#1|) (QUOTE (-856))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-916)))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-916)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))))) (-119 A S) ((|constructor| (NIL "A binary-recursive aggregate has 0,{} 1 or 2 children and serves as a model for a binary tree or a doubly-linked aggregate structure")) (|setright!| (($ $ $) "\\spad{setright!(a,x)} sets the right child of \\spad{t} to be \\spad{x}.")) (|setleft!| (($ $ $) "\\spad{setleft!(a,b)} sets the left child of \\axiom{a} to be \\spad{b}.")) (|setelt| (($ $ "right" $) "\\spad{setelt(a,\"right\",b)} (also written \\axiom{\\spad{b} . right \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setright!(a,{}\\spad{b})}.") (($ $ "left" $) "\\spad{setelt(a,\"left\",b)} (also written \\axiom{a . left \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setleft!(a,{}\\spad{b})}.")) (|right| (($ $) "\\spad{right(a)} returns the right child.")) (|elt| (($ $ "right") "\\spad{elt(a,\"right\")} (also written: \\axiom{a . right}) is equivalent to \\axiom{right(a)}.") (($ $ "left") "\\spad{elt(u,\"left\")} (also written: \\axiom{a . left}) is equivalent to \\axiom{left(a)}.")) (|left| (($ $) "\\spad{left(u)} returns the left child."))) NIL @@ -419,7 +419,7 @@ NIL (-122 S) ((|constructor| (NIL "BinarySearchTree(\\spad{S}) is the domain of a binary trees where elements are ordered across the tree. A binary search tree is either empty or has a value which is an \\spad{S},{} and a right and left which are both BinaryTree(\\spad{S}) Elements are ordered across the tree.")) (|split| (((|Record| (|:| |less| $) (|:| |greater| $)) |#1| $) "\\spad{split(x,b)} splits binary tree \\spad{b} into two trees,{} one with elements greater than \\spad{x},{} the other with elements less than \\spad{x}.")) (|insertRoot!| (($ |#1| $) "\\spad{insertRoot!(x,b)} inserts element \\spad{x} as a root of binary search tree \\spad{b}.")) (|insert!| (($ |#1| $) "\\spad{insert!(x,b)} inserts element \\spad{x} as leaves into binary search tree \\spad{b}.")) (|binarySearchTree| (($ (|List| |#1|)) "\\spad{binarySearchTree(l)} \\undocumented"))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (-123 S) ((|constructor| (NIL "The bit aggregate category models aggregates representing large quantities of Boolean data.")) (|xor| (($ $ $) "\\spad{xor(a,b)} returns the logical {\\em exclusive-or} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nor| (($ $ $) "\\spad{nor(a,b)} returns the logical {\\em nor} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nand| (($ $ $) "\\spad{nand(a,b)} returns the logical {\\em nand} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}."))) NIL @@ -439,15 +439,15 @@ NIL (-127 S) ((|constructor| (NIL "\\spadtype{BinaryTournament(S)} is the domain of binary trees where elements are ordered down the tree. A binary search tree is either empty or is a node containing a \\spadfun{value} of type \\spad{S},{} and a \\spadfun{right} and a \\spadfun{left} which are both \\spadtype{BinaryTree(S)}")) (|insert!| (($ |#1| $) "\\spad{insert!(x,b)} inserts element \\spad{x} as leaves into binary tournament \\spad{b}.")) (|binaryTournament| (($ (|List| |#1|)) "\\spad{binaryTournament(ls)} creates a binary tournament with the elements of \\spad{ls} as values at the nodes."))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (-128 S) ((|constructor| (NIL "\\spadtype{BinaryTree(S)} is the domain of all binary trees. A binary tree over \\spad{S} is either empty or has a \\spadfun{value} which is an \\spad{S} and a \\spadfun{right} and \\spadfun{left} which are both binary trees.")) (|binaryTree| (($ $ |#1| $) "\\spad{binaryTree(l,v,r)} creates a binary tree with value \\spad{v} with left subtree \\spad{l} and right subtree \\spad{r}.") (($ |#1|) "\\spad{binaryTree(v)} is an non-empty binary tree with value \\spad{v},{} and left and right empty."))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (-129) ((|constructor| (NIL "ByteBuffer provides datatype for buffers of bytes. This domain differs from PrimitiveArray Byte in that it is not as rigid as PrimitiveArray Byte. That is,{} the typical use of ByteBuffer is to pre-allocate a vector of Byte of some capacity \\spad{`n'}. The array can then store up to \\spad{`n'} bytes. The actual interesting bytes count (the length of the buffer) is therefore different from the capacity. The length is no more than the capacity,{} but it can be set dynamically as needed. This functionality is used for example when reading bytes from input/output devices where we use buffers to transfer data in and out of the system. Note: a value of type ByteBuffer is 0-based indexed,{} as opposed \\indented{6}{Vector,{} but not unlike PrimitiveArray Byte.}")) (|finiteAggregate| ((|attribute|) "A ByteBuffer object is a finite aggregate")) (|setLength!| (((|NonNegativeInteger|) $ (|NonNegativeInteger|)) "\\spad{setLength!(buf,n)} sets the number of active bytes in the `buf'. Error if \\spad{`n'} is more than the capacity.")) (|capacity| (((|NonNegativeInteger|) $) "\\spad{capacity(buf)} returns the pre-allocated maximum size of `buf'.")) (|byteBuffer| (($ (|NonNegativeInteger|)) "\\spad{byteBuffer(n)} creates a buffer of capacity \\spad{n},{} and length 0."))) ((-4453 . T) (-4452 . T)) -((-2895 (-12 (|HasCategory| (-130) (QUOTE (-856))) (|HasCategory| (-130) (LIST (QUOTE -313) (QUOTE (-130))))) (-12 (|HasCategory| (-130) (QUOTE (-1109))) (|HasCategory| (-130) (LIST (QUOTE -313) (QUOTE (-130)))))) (-2895 (-12 (|HasCategory| (-130) (QUOTE (-1109))) (|HasCategory| (-130) (LIST (QUOTE -313) (QUOTE (-130))))) (|HasCategory| (-130) (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-130) (LIST (QUOTE -620) (QUOTE (-542)))) (-2895 (|HasCategory| (-130) (QUOTE (-856))) (|HasCategory| (-130) (QUOTE (-1109)))) (|HasCategory| (-130) (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| (-130) (QUOTE (-1109))) (|HasCategory| (-130) (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| (-130) (QUOTE (-1109))) (|HasCategory| (-130) (LIST (QUOTE -313) (QUOTE (-130)))))) +((-2892 (-12 (|HasCategory| (-130) (QUOTE (-856))) (|HasCategory| (-130) (LIST (QUOTE -313) (QUOTE (-130))))) (-12 (|HasCategory| (-130) (QUOTE (-1109))) (|HasCategory| (-130) (LIST (QUOTE -313) (QUOTE (-130)))))) (-2892 (-12 (|HasCategory| (-130) (QUOTE (-1109))) (|HasCategory| (-130) (LIST (QUOTE -313) (QUOTE (-130))))) (|HasCategory| (-130) (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-130) (LIST (QUOTE -620) (QUOTE (-542)))) (-2892 (|HasCategory| (-130) (QUOTE (-856))) (|HasCategory| (-130) (QUOTE (-1109)))) (|HasCategory| (-130) (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| (-130) (QUOTE (-1109))) (|HasCategory| (-130) (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| (-130) (QUOTE (-1109))) (|HasCategory| (-130) (LIST (QUOTE -313) (QUOTE (-130)))))) (-130) ((|constructor| (NIL "Byte is the datatype of 8-bit sized unsigned integer values.")) (|sample| (($) "\\spad{sample} gives a sample datum of type Byte.")) (|bitior| (($ $ $) "bitor(\\spad{x},{}\\spad{y}) returns the bitwise `inclusive or' of \\spad{`x'} and \\spad{`y'}.")) (|bitand| (($ $ $) "\\spad{bitand(x,y)} returns the bitwise `and' of \\spad{`x'} and \\spad{`y'}.")) (|byte| (($ (|NonNegativeInteger|)) "\\spad{byte(x)} injects the unsigned integer value \\spad{`v'} into the Byte algebra. \\spad{`v'} must be non-negative and less than 256."))) NIL @@ -472,11 +472,11 @@ NIL ((|constructor| (NIL "Members of the domain CardinalNumber are values indicating the cardinality of sets,{} both finite and infinite. Arithmetic operations are defined on cardinal numbers as follows. \\blankline If \\spad{x = \\#X} and \\spad{y = \\#Y} then \\indented{2}{\\spad{x+y\\space{2}= \\#(X+Y)}\\space{3}\\tab{30}disjoint union} \\indented{2}{\\spad{x-y\\space{2}= \\#(X-Y)}\\space{3}\\tab{30}relative complement} \\indented{2}{\\spad{x*y\\space{2}= \\#(X*Y)}\\space{3}\\tab{30}cartesian product} \\indented{2}{\\spad{x**y = \\#(X**Y)}\\space{2}\\tab{30}\\spad{X**Y = \\{g| g:Y->X\\}}} \\blankline The non-negative integers have a natural construction as cardinals \\indented{2}{\\spad{0 = \\#\\{\\}},{} \\spad{1 = \\{0\\}},{} \\spad{2 = \\{0, 1\\}},{} ...,{} \\spad{n = \\{i| 0 <= i < n\\}}.} \\blankline That \\spad{0} acts as a zero for the multiplication of cardinals is equivalent to the axiom of choice. \\blankline The generalized continuum hypothesis asserts \\center{\\spad{2**Aleph i = Aleph(i+1)}} and is independent of the axioms of set theory [Goedel 1940]. \\blankline Three commonly encountered cardinal numbers are \\indented{3}{\\spad{a = \\#Z}\\space{7}\\tab{30}countable infinity} \\indented{3}{\\spad{c = \\#R}\\space{7}\\tab{30}the continuum} \\indented{3}{\\spad{f = \\#\\{g| g:[0,1]->R\\}}} \\blankline In this domain,{} these values are obtained using \\indented{3}{\\spad{a := Aleph 0},{} \\spad{c := 2**a},{} \\spad{f := 2**c}.} \\blankline")) (|generalizedContinuumHypothesisAssumed| (((|Boolean|) (|Boolean|)) "\\spad{generalizedContinuumHypothesisAssumed(bool)} is used to dictate whether the hypothesis is to be assumed.")) (|generalizedContinuumHypothesisAssumed?| (((|Boolean|)) "\\spad{generalizedContinuumHypothesisAssumed?()} tests if the hypothesis is currently assumed.")) (|countable?| (((|Boolean|) $) "\\spad{countable?(\\spad{a})} determines whether \\spad{a} is a countable cardinal,{} \\spadignore{i.e.} an integer or \\spad{Aleph 0}.")) (|finite?| (((|Boolean|) $) "\\spad{finite?(\\spad{a})} determines whether \\spad{a} is a finite cardinal,{} \\spadignore{i.e.} an integer.")) (|Aleph| (($ (|NonNegativeInteger|)) "\\spad{Aleph(n)} provides the named (infinite) cardinal number.")) (** (($ $ $) "\\spad{x**y} returns \\spad{\\#(X**Y)} where \\spad{X**Y} is defined \\indented{1}{as \\spad{\\{g| g:Y->X\\}}.}")) (- (((|Union| $ "failed") $ $) "\\spad{x - y} returns an element \\spad{z} such that \\spad{z+y=x} or \"failed\" if no such element exists.")) (|commutative| ((|attribute| "*") "a domain \\spad{D} has \\spad{commutative(\"*\")} if it has an operation \\spad{\"*\": (D,D) -> D} which is commutative."))) (((-4454 "*") . T)) NIL -(-136 |minix| -2550 S T$) +(-136 |minix| -2549 S T$) ((|constructor| (NIL "This package provides functions to enable conversion of tensors given conversion of the components.")) (|map| (((|CartesianTensor| |#1| |#2| |#4|) (|Mapping| |#4| |#3|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{map(f,ts)} does a componentwise conversion of the tensor \\spad{ts} to a tensor with components of type \\spad{T}.")) (|reshape| (((|CartesianTensor| |#1| |#2| |#4|) (|List| |#4|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{reshape(lt,ts)} organizes the list of components \\spad{lt} into a tensor with the same shape as \\spad{ts}."))) NIL NIL -(-137 |minix| -2550 R) +(-137 |minix| -2549 R) ((|constructor| (NIL "CartesianTensor(minix,{}dim,{}\\spad{R}) provides Cartesian tensors with components belonging to a commutative ring \\spad{R}. These tensors can have any number of indices. Each index takes values from \\spad{minix} to \\spad{minix + dim - 1}.")) (|sample| (($) "\\spad{sample()} returns an object of type \\%.")) (|unravel| (($ (|List| |#3|)) "\\spad{unravel(t)} produces a tensor from a list of components such that \\indented{2}{\\spad{unravel(ravel(t)) = t}.}")) (|ravel| (((|List| |#3|) $) "\\spad{ravel(t)} produces a list of components from a tensor such that \\indented{2}{\\spad{unravel(ravel(t)) = t}.}")) (|leviCivitaSymbol| (($) "\\spad{leviCivitaSymbol()} is the rank \\spad{dim} tensor defined by \\spad{leviCivitaSymbol()(i1,...idim) = +1/0/-1} if \\spad{i1,...,idim} is an even/is nota /is an odd permutation of \\spad{minix,...,minix+dim-1}.")) (|kroneckerDelta| (($) "\\spad{kroneckerDelta()} is the rank 2 tensor defined by \\indented{3}{\\spad{kroneckerDelta()(i,j)}} \\indented{6}{\\spad{= 1\\space{2}if i = j}} \\indented{6}{\\spad{= 0 if\\space{2}i \\~= j}}")) (|reindex| (($ $ (|List| (|Integer|))) "\\spad{reindex(t,[i1,...,idim])} permutes the indices of \\spad{t}. For example,{} if \\spad{r = reindex(t, [4,1,2,3])} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank for tensor given by \\indented{4}{\\spad{r(i,j,k,l) = t(l,i,j,k)}.}")) (|transpose| (($ $ (|Integer|) (|Integer|)) "\\spad{transpose(t,i,j)} exchanges the \\spad{i}\\spad{-}th and \\spad{j}\\spad{-}th indices of \\spad{t}. For example,{} if \\spad{r = transpose(t,2,3)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 4 tensor given by \\indented{4}{\\spad{r(i,j,k,l) = t(i,k,j,l)}.}") (($ $) "\\spad{transpose(t)} exchanges the first and last indices of \\spad{t}. For example,{} if \\spad{r = transpose(t)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 4 tensor given by \\indented{4}{\\spad{r(i,j,k,l) = t(l,j,k,i)}.}")) (|contract| (($ $ (|Integer|) (|Integer|)) "\\spad{contract(t,i,j)} is the contraction of tensor \\spad{t} which sums along the \\spad{i}\\spad{-}th and \\spad{j}\\spad{-}th indices. For example,{} if \\spad{r = contract(t,1,3)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 2 \\spad{(= 4 - 2)} tensor given by \\indented{4}{\\spad{r(i,j) = sum(h=1..dim,t(h,i,h,j))}.}") (($ $ (|Integer|) $ (|Integer|)) "\\spad{contract(t,i,s,j)} is the inner product of tenors \\spad{s} and \\spad{t} which sums along the \\spad{k1}\\spad{-}th index of \\spad{t} and the \\spad{k2}\\spad{-}th index of \\spad{s}. For example,{} if \\spad{r = contract(s,2,t,1)} for rank 3 tensors rank 3 tensors \\spad{s} and \\spad{t},{} then \\spad{r} is the rank 4 \\spad{(= 3 + 3 - 2)} tensor given by \\indented{4}{\\spad{r(i,j,k,l) = sum(h=1..dim,s(i,h,j)*t(h,k,l))}.}")) (* (($ $ $) "\\spad{s*t} is the inner product of the tensors \\spad{s} and \\spad{t} which contracts the last index of \\spad{s} with the first index of \\spad{t},{} \\spadignore{i.e.} \\indented{4}{\\spad{t*s = contract(t,rank t, s, 1)}} \\indented{4}{\\spad{t*s = sum(k=1..N, t[i1,..,iN,k]*s[k,j1,..,jM])}} This is compatible with the use of \\spad{M*v} to denote the matrix-vector inner product.")) (|product| (($ $ $) "\\spad{product(s,t)} is the outer product of the tensors \\spad{s} and \\spad{t}. For example,{} if \\spad{r = product(s,t)} for rank 2 tensors \\spad{s} and \\spad{t},{} then \\spad{r} is a rank 4 tensor given by \\indented{4}{\\spad{r(i,j,k,l) = s(i,j)*t(k,l)}.}")) (|elt| ((|#3| $ (|List| (|Integer|))) "\\spad{elt(t,[i1,...,iN])} gives a component of a rank \\spad{N} tensor.") ((|#3| $ (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{elt(t,i,j,k,l)} gives a component of a rank 4 tensor.") ((|#3| $ (|Integer|) (|Integer|) (|Integer|)) "\\spad{elt(t,i,j,k)} gives a component of a rank 3 tensor.") ((|#3| $ (|Integer|) (|Integer|)) "\\spad{elt(t,i,j)} gives a component of a rank 2 tensor.") ((|#3| $ (|Integer|)) "\\spad{elt(t,i)} gives a component of a rank 1 tensor.") ((|#3| $) "\\spad{elt(t)} gives the component of a rank 0 tensor.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(t)} returns the tensorial rank of \\spad{t} (that is,{} the number of indices). This is the same as the graded module degree.")) (|coerce| (($ (|List| $)) "\\spad{coerce([t_1,...,t_dim])} allows tensors to be constructed using lists.") (($ (|List| |#3|)) "\\spad{coerce([r_1,...,r_dim])} allows tensors to be constructed using lists.") (($ (|SquareMatrix| |#2| |#3|)) "\\spad{coerce(m)} views a matrix as a rank 2 tensor.") (($ (|DirectProduct| |#2| |#3|)) "\\spad{coerce(v)} views a vector as a rank 1 tensor."))) NIL NIL @@ -499,7 +499,7 @@ NIL (-142) ((|constructor| (NIL "This domain allows classes of characters to be defined and manipulated efficiently.")) (|alphanumeric| (($) "\\spad{alphanumeric()} returns the class of all characters for which \\spadfunFrom{alphanumeric?}{Character} is \\spad{true}.")) (|alphabetic| (($) "\\spad{alphabetic()} returns the class of all characters for which \\spadfunFrom{alphabetic?}{Character} is \\spad{true}.")) (|lowerCase| (($) "\\spad{lowerCase()} returns the class of all characters for which \\spadfunFrom{lowerCase?}{Character} is \\spad{true}.")) (|upperCase| (($) "\\spad{upperCase()} returns the class of all characters for which \\spadfunFrom{upperCase?}{Character} is \\spad{true}.")) (|hexDigit| (($) "\\spad{hexDigit()} returns the class of all characters for which \\spadfunFrom{hexDigit?}{Character} is \\spad{true}.")) (|digit| (($) "\\spad{digit()} returns the class of all characters for which \\spadfunFrom{digit?}{Character} is \\spad{true}.")) (|charClass| (($ (|List| (|Character|))) "\\spad{charClass(l)} creates a character class which contains exactly the characters given in the list \\spad{l}.") (($ (|String|)) "\\spad{charClass(s)} creates a character class which contains exactly the characters given in the string \\spad{s}."))) ((-4452 . T) (-4442 . T) (-4453 . T)) -((-2895 (-12 (|HasCategory| (-145) (QUOTE (-373))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-145) (QUOTE (-373))) (|HasCategory| (-145) (QUOTE (-856))) (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145)))))) +((-2892 (-12 (|HasCategory| (-145) (QUOTE (-373))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-145) (QUOTE (-373))) (|HasCategory| (-145) (QUOTE (-856))) (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145)))))) (-143 R Q A) ((|constructor| (NIL "CommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#3|) "\\spad{splitDenominator([q1,...,qn])} returns \\spad{[[p1,...,pn], d]} such that \\spad{qi = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|clearDenominator| ((|#3| |#3|) "\\spad{clearDenominator([q1,...,qn])} returns \\spad{[p1,...,pn]} such that \\spad{qi = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|commonDenominator| ((|#1| |#3|) "\\spad{commonDenominator([q1,...,qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}\\spad{qn}."))) NIL @@ -598,7 +598,7 @@ NIL ((|HasCategory| |#2| (QUOTE (-916))) (|HasCategory| |#2| (QUOTE (-551))) (|HasCategory| |#2| (QUOTE (-1011))) (|HasCategory| |#2| (QUOTE (-1212))) (|HasCategory| |#2| (QUOTE (-1069))) (|HasCategory| |#2| (QUOTE (-1031))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#2| (QUOTE (-368))) (|HasAttribute| |#2| (QUOTE -4448)) (|HasAttribute| |#2| (QUOTE -4451)) (|HasCategory| |#2| (QUOTE (-311))) (|HasCategory| |#2| (QUOTE (-562)))) (-167 R) ((|constructor| (NIL "This category represents the extension of a ring by a square root of \\spad{-1}.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a rational number,{} or \"failed\" if \\spad{x} is not a rational number.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a rational number. Error: if \\spad{x} is not a rational number.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a rational number.")) (|polarCoordinates| (((|Record| (|:| |r| |#1|) (|:| |phi| |#1|)) $) "\\spad{polarCoordinates(x)} returns (\\spad{r},{} phi) such that \\spad{x} = \\spad{r} * exp(\\%\\spad{i} * phi).")) (|argument| ((|#1| $) "\\spad{argument(x)} returns the angle made by (0,{}1) and (0,{}\\spad{x}).")) (|abs| (($ $) "\\spad{abs(x)} returns the absolute value of \\spad{x} = sqrt(norm(\\spad{x})).")) (|exquo| (((|Union| $ "failed") $ |#1|) "\\spad{exquo(x, r)} returns the exact quotient of \\spad{x} by \\spad{r},{} or \"failed\" if \\spad{r} does not divide \\spad{x} exactly.")) (|norm| ((|#1| $) "\\spad{norm(x)} returns \\spad{x} * conjugate(\\spad{x})")) (|real| ((|#1| $) "\\spad{real(x)} returns real part of \\spad{x}.")) (|imag| ((|#1| $) "\\spad{imag(x)} returns imaginary part of \\spad{x}.")) (|conjugate| (($ $) "\\spad{conjugate(x + \\%i y)} returns \\spad{x} - \\%\\spad{i} \\spad{y}.")) (|imaginary| (($) "\\spad{imaginary()} = sqrt(\\spad{-1}) = \\%\\spad{i}.")) (|complex| (($ |#1| |#1|) "\\spad{complex(x,y)} constructs \\spad{x} + \\%i*y.") ((|attribute|) "indicates that \\% has sqrt(\\spad{-1})"))) -((-4445 -2895 (|has| |#1| (-562)) (-12 (|has| |#1| (-311)) (|has| |#1| (-916)))) (-4450 |has| |#1| (-368)) (-4444 |has| |#1| (-368)) (-4448 |has| |#1| (-6 -4448)) (-4451 |has| |#1| (-6 -4451)) (-3178 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) +((-4445 -2892 (|has| |#1| (-562)) (-12 (|has| |#1| (-311)) (|has| |#1| (-916)))) (-4450 |has| |#1| (-368)) (-4444 |has| |#1| (-368)) (-4448 |has| |#1| (-6 -4448)) (-4451 |has| |#1| (-6 -4451)) (-3175 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) NIL (-168 RR PR) ((|constructor| (NIL "\\indented{1}{Author:} Date Created: Date Last Updated: Basic Functions: Related Constructors: Complex,{} UnivariatePolynomial Also See: AMS Classifications: Keywords: complex,{} polynomial factorization,{} factor References:")) (|factor| (((|Factored| |#2|) |#2|) "\\spad{factor(p)} factorizes the polynomial \\spad{p} with complex coefficients."))) @@ -614,8 +614,8 @@ NIL NIL (-171 R) ((|constructor| (NIL "\\spadtype {Complex(R)} creates the domain of elements of the form \\spad{a + b * i} where \\spad{a} and \\spad{b} come from the ring \\spad{R},{} and \\spad{i} is a new element such that \\spad{i**2 = -1}."))) -((-4445 -2895 (|has| |#1| (-562)) (-12 (|has| |#1| (-311)) (|has| |#1| (-916)))) (-4450 |has| |#1| (-368)) (-4444 |has| |#1| (-368)) (-4448 |has| |#1| (-6 -4448)) (-4451 |has| |#1| (-6 -4451)) (-3178 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . 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T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) +((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-354))) (-2892 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-354)))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-373))) (-2892 (-12 (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| |#1| (QUOTE (-354)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-354)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -520) (QUOTE (-1186)) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-354)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-354)))) (-12 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-354)))) (-12 (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-354)))) (|HasCategory| |#1| (QUOTE (-235))) (-12 (|HasCategory| |#1| (QUOTE (-311))) (|HasCategory| |#1| (QUOTE (-354)))) (-12 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-354)))) (-12 (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (LIST (QUOTE -290) (|devaluate| |#1|) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (LIST (QUOTE -645) (QUOTE (-570))))) (-12 (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186))))) (-12 (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (QUOTE (-373)))) (-12 (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (QUOTE (-834)))) (-12 (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (QUOTE (-1031)))) (-12 (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (QUOTE (-1212)))) (-12 (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542))))) (-12 (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-384))))) (-12 (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-570))))) (-12 (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#1| (LIST (QUOTE -645) (QUOTE (-570)))) (-2892 (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-311))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-368))) (-12 (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (QUOTE (-916))))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-311))) (|HasCategory| |#1| (QUOTE (-916)))) (-12 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-916)))) (-12 (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (QUOTE (-916))))) (-2892 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasCategory| |#1| (QUOTE (-1011))) (|HasCategory| |#1| (QUOTE (-1212)))) (|HasCategory| |#1| (QUOTE (-1212))) (|HasCategory| |#1| (QUOTE (-1031))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2892 (|HasCategory| |#1| (QUOTE (-311))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (QUOTE (-562)))) (-2892 (|HasCategory| |#1| (QUOTE (-311))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-354)))) (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| |#1| (LIST (QUOTE -520) (QUOTE (-1186)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -290) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-834))) (|HasCategory| |#1| (QUOTE (-1069))) (-12 (|HasCategory| |#1| (QUOTE (-1069))) (|HasCategory| |#1| (QUOTE (-1212)))) (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-311))) (|HasCategory| |#1| (QUOTE (-916))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-311))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-368)))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-311))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-235))) (-12 (|HasCategory| |#1| (QUOTE (-311))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasAttribute| |#1| (QUOTE -4448)) (|HasAttribute| |#1| (QUOTE -4451)) (-12 (|HasCategory| |#1| (QUOTE (-235))) (|HasCategory| |#1| (QUOTE (-368)))) (-12 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186))))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-311))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-146)))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-311))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-354))))) (-172 R S CS) ((|constructor| (NIL "This package supports converting complex expressions to patterns")) (|convert| (((|Pattern| |#1|) |#3|) "\\spad{convert(cs)} converts the complex expression \\spad{cs} to a pattern"))) NIL @@ -807,7 +807,7 @@ NIL (-219) ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating decimal expansions.")) (|decimal| (($ (|Fraction| (|Integer|))) "\\spad{decimal(r)} converts a rational number to a decimal expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(d)} returns the fractional part of a decimal expansion."))) ((-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| (-570) (QUOTE (-916))) (|HasCategory| (-570) (LIST (QUOTE -1047) (QUOTE (-1186)))) (|HasCategory| (-570) (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-148))) (|HasCategory| (-570) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-570) (QUOTE (-1031))) (|HasCategory| (-570) (QUOTE (-826))) (-2895 (|HasCategory| (-570) (QUOTE (-826))) (|HasCategory| (-570) (QUOTE (-856)))) (|HasCategory| (-570) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-570) (QUOTE (-1161))) (|HasCategory| (-570) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| (-570) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| (-570) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| (-570) (QUOTE (-235))) (|HasCategory| (-570) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-570) (LIST (QUOTE -520) (QUOTE (-1186)) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -313) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -290) (QUOTE (-570)) (QUOTE (-570)))) (|HasCategory| (-570) (QUOTE (-311))) (|HasCategory| (-570) (QUOTE (-551))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| (-570) (LIST (QUOTE -645) (QUOTE (-570)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-916)))) (-2895 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-916)))) (|HasCategory| (-570) (QUOTE (-146))))) +((|HasCategory| (-570) (QUOTE (-916))) (|HasCategory| (-570) (LIST (QUOTE -1047) (QUOTE (-1186)))) (|HasCategory| (-570) (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-148))) (|HasCategory| (-570) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-570) (QUOTE (-1031))) (|HasCategory| (-570) (QUOTE (-826))) (-2892 (|HasCategory| (-570) (QUOTE (-826))) (|HasCategory| (-570) (QUOTE (-856)))) (|HasCategory| (-570) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-570) (QUOTE (-1161))) (|HasCategory| (-570) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| (-570) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| (-570) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| (-570) (QUOTE (-235))) (|HasCategory| (-570) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-570) (LIST (QUOTE -520) (QUOTE (-1186)) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -313) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -290) (QUOTE (-570)) (QUOTE (-570)))) (|HasCategory| (-570) (QUOTE (-311))) (|HasCategory| (-570) (QUOTE (-551))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| (-570) (LIST (QUOTE -645) (QUOTE (-570)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-916)))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-916)))) (|HasCategory| (-570) (QUOTE (-146))))) (-220) ((|constructor| (NIL "This domain represents the syntax of a definition.")) (|body| (((|SpadAst|) $) "\\spad{body(d)} returns the right hand side of the definition \\spad{`d'}.")) (|signature| (((|Signature|) $) "\\spad{signature(d)} returns the signature of the operation being defined. Note that this list may be partial in that it contains only the types actually specified in the definition.")) (|head| (((|HeadAst|) $) "\\spad{head(d)} returns the head of the definition \\spad{`d'}. This is a list of identifiers starting with the name of the operation followed by the name of the parameters,{} if any."))) NIL @@ -827,7 +827,7 @@ NIL (-224 S) ((|constructor| (NIL "Linked list implementation of a Dequeue")) (|dequeue| (($ (|List| |#1|)) "\\spad{dequeue([x,y,...,z])} creates a dequeue with first (top or front) element \\spad{x},{} second element \\spad{y},{}...,{}and last (bottom or back) element \\spad{z}."))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (-225 |CoefRing| |listIndVar|) ((|constructor| (NIL "The deRham complex of Euclidean space,{} that is,{} the class of differential forms of arbitary degree over a coefficient ring. See Flanders,{} Harley,{} Differential Forms,{} With Applications to the Physical Sciences,{} New York,{} Academic Press,{} 1963.")) (|exteriorDifferential| (($ $) "\\spad{exteriorDifferential(df)} returns the exterior derivative (gradient,{} curl,{} divergence,{} ...) of the differential form \\spad{df}.")) (|totalDifferential| (($ (|Expression| |#1|)) "\\spad{totalDifferential(x)} returns the total differential (gradient) form for element \\spad{x}.")) (|map| (($ (|Mapping| (|Expression| |#1|) (|Expression| |#1|)) $) "\\spad{map(f,df)} replaces each coefficient \\spad{x} of differential form \\spad{df} by \\spad{f(x)}.")) (|degree| (((|Integer|) $) "\\spad{degree(df)} returns the homogeneous degree of differential form \\spad{df}.")) (|retractable?| (((|Boolean|) $) "\\spad{retractable?(df)} tests if differential form \\spad{df} is a 0-form,{} \\spadignore{i.e.} if degree(\\spad{df}) = 0.")) (|homogeneous?| (((|Boolean|) $) "\\spad{homogeneous?(df)} tests if all of the terms of differential form \\spad{df} have the same degree.")) (|generator| (($ (|NonNegativeInteger|)) "\\spad{generator(n)} returns the \\spad{n}th basis term for a differential form.")) (|coefficient| (((|Expression| |#1|) $ $) "\\spad{coefficient(df,u)},{} where \\spad{df} is a differential form,{} returns the coefficient of \\spad{df} containing the basis term \\spad{u} if such a term exists,{} and 0 otherwise.")) (|reductum| (($ $) "\\spad{reductum(df)},{} where \\spad{df} is a differential form,{} returns \\spad{df} minus the leading term of \\spad{df} if \\spad{df} has two or more terms,{} and 0 otherwise.")) (|leadingBasisTerm| (($ $) "\\spad{leadingBasisTerm(df)} returns the leading basis term of differential form \\spad{df}.")) (|leadingCoefficient| (((|Expression| |#1|) $) "\\spad{leadingCoefficient(df)} returns the leading coefficient of differential form \\spad{df}."))) ((-4449 . T)) @@ -838,7 +838,7 @@ NIL NIL (-227) ((|constructor| (NIL "\\indented{1}{\\spadtype{DoubleFloat} is intended to make accessible} hardware floating point arithmetic in \\Language{},{} either native double precision,{} or IEEE. On most machines,{} there will be hardware support for the arithmetic operations: \\spadfunFrom{+}{DoubleFloat},{} \\spadfunFrom{*}{DoubleFloat},{} \\spadfunFrom{/}{DoubleFloat} and possibly also the \\spadfunFrom{sqrt}{DoubleFloat} operation. The operations \\spadfunFrom{exp}{DoubleFloat},{} \\spadfunFrom{log}{DoubleFloat},{} \\spadfunFrom{sin}{DoubleFloat},{} \\spadfunFrom{cos}{DoubleFloat},{} \\spadfunFrom{atan}{DoubleFloat} are normally coded in software based on minimax polynomial/rational approximations. Note that under Lisp/VM,{} \\spadfunFrom{atan}{DoubleFloat} is not available at this time. Some general comments about the accuracy of the operations: the operations \\spadfunFrom{+}{DoubleFloat},{} \\spadfunFrom{*}{DoubleFloat},{} \\spadfunFrom{/}{DoubleFloat} and \\spadfunFrom{sqrt}{DoubleFloat} are expected to be fully accurate. The operations \\spadfunFrom{exp}{DoubleFloat},{} \\spadfunFrom{log}{DoubleFloat},{} \\spadfunFrom{sin}{DoubleFloat},{} \\spadfunFrom{cos}{DoubleFloat} and \\spadfunFrom{atan}{DoubleFloat} are not expected to be fully accurate. In particular,{} \\spadfunFrom{sin}{DoubleFloat} and \\spadfunFrom{cos}{DoubleFloat} will lose all precision for large arguments. \\blankline The \\spadtype{Float} domain provides an alternative to the \\spad{DoubleFloat} domain. It provides an arbitrary precision model of floating point arithmetic. This means that accuracy problems like those above are eliminated by increasing the working precision where necessary. \\spadtype{Float} provides some special functions such as \\spadfunFrom{erf}{DoubleFloat},{} the error function in addition to the elementary functions. The disadvantage of \\spadtype{Float} is that it is much more expensive than small floats when the latter can be used.")) (|rationalApproximation| (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n, b)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< b**(-n)} (that is,{} \\spad{|(r-f)/f| < b**(-n)}).") (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< 10**(-n)}.")) (|Beta| (($ $ $) "\\spad{Beta(x,y)} is \\spad{Gamma(x) * Gamma(y)/Gamma(x+y)}.")) (|Gamma| (($ $) "\\spad{Gamma(x)} is the Euler Gamma function.")) (|atan| (($ $ $) "\\spad{atan(x,y)} computes the arc tangent from \\spad{x} with phase \\spad{y}.")) (|log10| (($ $) "\\spad{log10(x)} computes the logarithm with base 10 for \\spad{x}.")) (|log2| (($ $) "\\spad{log2(x)} computes the logarithm with base 2 for \\spad{x}.")) (|exp1| (($) "\\spad{exp1()} returns the natural log base \\spad{2.718281828...}.")) (** (($ $ $) "\\spad{x ** y} returns the \\spad{y}th power of \\spad{x} (equal to \\spad{exp(y log x)}).")) (/ (($ $ (|Integer|)) "\\spad{x / i} computes the division from \\spad{x} by an integer \\spad{i}."))) -((-3170 . T) (-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) +((-3167 . T) (-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) NIL (-228) ((|constructor| (NIL "This package provides special functions for double precision real and complex floating point.")) (|hypergeometric0F1| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{hypergeometric0F1(c,z)} is the hypergeometric function \\spad{0F1(; c; z)}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{hypergeometric0F1(c,z)} is the hypergeometric function \\spad{0F1(; c; z)}.")) (|airyBi| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{airyBi(x)} is the Airy function \\spad{Bi(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Bi''(x) - x * Bi(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{airyBi(x)} is the Airy function \\spad{Bi(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Bi''(x) - x * Bi(x) = 0}.}")) (|airyAi| (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{airyAi(x)} is the Airy function \\spad{Ai(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Ai''(x) - x * Ai(x) = 0}.}") (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{airyAi(x)} is the Airy function \\spad{Ai(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Ai''(x) - x * Ai(x) = 0}.}")) (|besselK| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselK(v,x)} is the modified Bessel function of the first kind,{} \\spad{K(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{K(v,x) = \\%pi/2*(I(-v,x) - I(v,x))/sin(v*\\%pi)}} so is not valid for integer values of \\spad{v}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselK(v,x)} is the modified Bessel function of the first kind,{} \\spad{K(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{K(v,x) = \\%pi/2*(I(-v,x) - I(v,x))/sin(v*\\%pi)}.} so is not valid for integer values of \\spad{v}.")) (|besselI| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselI(v,x)} is the modified Bessel function of the first kind,{} \\spad{I(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselI(v,x)} is the modified Bessel function of the first kind,{} \\spad{I(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.}")) (|besselY| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselY(v,x)} is the Bessel function of the second kind,{} \\spad{Y(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{Y(v,x) = (J(v,x) cos(v*\\%pi) - J(-v,x))/sin(v*\\%pi)}} so is not valid for integer values of \\spad{v}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselY(v,x)} is the Bessel function of the second kind,{} \\spad{Y(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{Y(v,x) = (J(v,x) cos(v*\\%pi) - J(-v,x))/sin(v*\\%pi)}} so is not valid for integer values of \\spad{v}.")) (|besselJ| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselJ(v,x)} is the Bessel function of the first kind,{} \\spad{J(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselJ(v,x)} is the Bessel function of the first kind,{} \\spad{J(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.}")) (|polygamma| (((|Complex| (|DoubleFloat|)) (|NonNegativeInteger|) (|Complex| (|DoubleFloat|))) "\\spad{polygamma(n, x)} is the \\spad{n}-th derivative of \\spad{digamma(x)}.") (((|DoubleFloat|) (|NonNegativeInteger|) (|DoubleFloat|)) "\\spad{polygamma(n, x)} is the \\spad{n}-th derivative of \\spad{digamma(x)}.")) (|digamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{digamma(x)} is the function,{} \\spad{psi(x)},{} defined by \\indented{2}{\\spad{psi(x) = Gamma'(x)/Gamma(x)}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{digamma(x)} is the function,{} \\spad{psi(x)},{} defined by \\indented{2}{\\spad{psi(x) = Gamma'(x)/Gamma(x)}.}")) (|logGamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{logGamma(x)} is the natural log of \\spad{Gamma(x)}. This can often be computed even if \\spad{Gamma(x)} cannot.") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{logGamma(x)} is the natural log of \\spad{Gamma(x)}. This can often be computed even if \\spad{Gamma(x)} cannot.")) (|Beta| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{Beta(x, y)} is the Euler beta function,{} \\spad{B(x,y)},{} defined by \\indented{2}{\\spad{Beta(x,y) = integrate(t^(x-1)*(1-t)^(y-1), t=0..1)}.} This is related to \\spad{Gamma(x)} by \\indented{2}{\\spad{Beta(x,y) = Gamma(x)*Gamma(y) / Gamma(x + y)}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{Beta(x, y)} is the Euler beta function,{} \\spad{B(x,y)},{} defined by \\indented{2}{\\spad{Beta(x,y) = integrate(t^(x-1)*(1-t)^(y-1), t=0..1)}.} This is related to \\spad{Gamma(x)} by \\indented{2}{\\spad{Beta(x,y) = Gamma(x)*Gamma(y) / Gamma(x + y)}.}")) (|Gamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{Gamma(x)} is the Euler gamma function,{} \\spad{Gamma(x)},{} defined by \\indented{2}{\\spad{Gamma(x) = integrate(t^(x-1)*exp(-t), t=0..\\%infinity)}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{Gamma(x)} is the Euler gamma function,{} \\spad{Gamma(x)},{} defined by \\indented{2}{\\spad{Gamma(x) = integrate(t^(x-1)*exp(-t), t=0..\\%infinity)}.}"))) @@ -847,7 +847,7 @@ NIL (-229 R) ((|constructor| (NIL "\\indented{1}{A Denavit-Hartenberg Matrix is a 4x4 Matrix of the form:} \\indented{1}{\\spad{nx ox ax px}} \\indented{1}{\\spad{ny oy ay py}} \\indented{1}{\\spad{nz oz az pz}} \\indented{2}{\\spad{0\\space{2}0\\space{2}0\\space{2}1}} (\\spad{n},{} \\spad{o},{} and a are the direction cosines)")) (|translate| (($ |#1| |#1| |#1|) "\\spad{translate(X,Y,Z)} returns a dhmatrix for translation by \\spad{X},{} \\spad{Y},{} and \\spad{Z}")) (|scale| (($ |#1| |#1| |#1|) "\\spad{scale(sx,sy,sz)} returns a dhmatrix for scaling in the \\spad{X},{} \\spad{Y} and \\spad{Z} directions")) (|rotatez| (($ |#1|) "\\spad{rotatez(r)} returns a dhmatrix for rotation about axis \\spad{Z} for \\spad{r} degrees")) (|rotatey| (($ |#1|) "\\spad{rotatey(r)} returns a dhmatrix for rotation about axis \\spad{Y} for \\spad{r} degrees")) (|rotatex| (($ |#1|) "\\spad{rotatex(r)} returns a dhmatrix for rotation about axis \\spad{X} for \\spad{r} degrees")) (|identity| (($) "\\spad{identity()} create the identity dhmatrix")) (* (((|Point| |#1|) $ (|Point| |#1|)) "\\spad{t*p} applies the dhmatrix \\spad{t} to point \\spad{p}"))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (QUOTE (-311))) (|HasCategory| |#1| (QUOTE (-562))) (|HasAttribute| |#1| (QUOTE (-4454 "*"))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (QUOTE (-311))) (|HasCategory| |#1| (QUOTE (-562))) (|HasAttribute| |#1| (QUOTE (-4454 "*"))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (-230 A S) ((|constructor| (NIL "A dictionary is an aggregate in which entries can be inserted,{} searched for and removed. Duplicates are thrown away on insertion. This category models the usual notion of dictionary which involves large amounts of data where copying is impractical. Principal operations are thus destructive (non-copying) ones."))) NIL @@ -884,22 +884,22 @@ NIL ((|constructor| (NIL "any solution of a homogeneous linear Diophantine equation can be represented as a sum of minimal solutions,{} which form a \"basis\" (a minimal solution cannot be represented as a nontrivial sum of solutions) in the case of an inhomogeneous linear Diophantine equation,{} each solution is the sum of a inhomogeneous solution and any number of homogeneous solutions therefore,{} it suffices to compute two sets: \\indented{3}{1. all minimal inhomogeneous solutions} \\indented{3}{2. all minimal homogeneous solutions} the algorithm implemented is a completion procedure,{} which enumerates all solutions in a recursive depth-first-search it can be seen as finding monotone paths in a graph for more details see Reference")) (|dioSolve| (((|Record| (|:| |varOrder| (|List| (|Symbol|))) (|:| |inhom| (|Union| (|List| (|Vector| (|NonNegativeInteger|))) "failed")) (|:| |hom| (|List| (|Vector| (|NonNegativeInteger|))))) (|Equation| (|Polynomial| (|Integer|)))) "\\spad{dioSolve(u)} computes a basis of all minimal solutions for linear homogeneous Diophantine equation \\spad{u},{} then all minimal solutions of inhomogeneous equation"))) NIL NIL -(-239 S -2550 R) +(-239 S -2549 R) ((|constructor| (NIL "\\indented{2}{This category represents a finite cartesian product of a given type.} Many categorical properties are preserved under this construction.")) (* (($ $ |#3|) "\\spad{y * r} multiplies each component of the vector \\spad{y} by the element \\spad{r}.") (($ |#3| $) "\\spad{r * y} multiplies the element \\spad{r} times each component of the vector \\spad{y}.")) (|dot| ((|#3| $ $) "\\spad{dot(x,y)} computes the inner product of the vectors \\spad{x} and \\spad{y}.")) (|unitVector| (($ (|PositiveInteger|)) "\\spad{unitVector(n)} produces a vector with 1 in position \\spad{n} and zero elsewhere.")) (|directProduct| (($ (|Vector| |#3|)) "\\spad{directProduct(v)} converts the vector \\spad{v} to become a direct product. Error: if the length of \\spad{v} is different from dim.")) (|finiteAggregate| ((|attribute|) "attribute to indicate an aggregate of finite size"))) NIL ((|HasCategory| |#3| (QUOTE (-368))) (|HasCategory| |#3| (QUOTE (-799))) (|HasCategory| |#3| (QUOTE (-854))) (|HasAttribute| |#3| (QUOTE -4449)) (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-373))) (|HasCategory| |#3| (QUOTE (-732))) (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (QUOTE (-1058))) (|HasCategory| |#3| (QUOTE (-1109)))) -(-240 -2550 R) +(-240 -2549 R) ((|constructor| (NIL "\\indented{2}{This category represents a finite cartesian product of a given type.} Many categorical properties are preserved under this construction.")) (* (($ $ |#2|) "\\spad{y * r} multiplies each component of the vector \\spad{y} by the element \\spad{r}.") (($ |#2| $) "\\spad{r * y} multiplies the element \\spad{r} times each component of the vector \\spad{y}.")) (|dot| ((|#2| $ $) "\\spad{dot(x,y)} computes the inner product of the vectors \\spad{x} and \\spad{y}.")) (|unitVector| (($ (|PositiveInteger|)) "\\spad{unitVector(n)} produces a vector with 1 in position \\spad{n} and zero elsewhere.")) (|directProduct| (($ (|Vector| |#2|)) "\\spad{directProduct(v)} converts the vector \\spad{v} to become a direct product. Error: if the length of \\spad{v} is different from dim.")) (|finiteAggregate| ((|attribute|) "attribute to indicate an aggregate of finite size"))) ((-4446 |has| |#2| (-1058)) (-4447 |has| |#2| (-1058)) (-4449 |has| |#2| (-6 -4449)) ((-4454 "*") |has| |#2| (-174)) (-4452 . T)) NIL -(-241 -2550 A B) +(-241 -2549 A B) ((|constructor| (NIL "\\indented{2}{This package provides operations which all take as arguments} direct products of elements of some type \\spad{A} and functions from \\spad{A} to another type \\spad{B}. The operations all iterate over their vector argument and either return a value of type \\spad{B} or a direct product over \\spad{B}.")) (|map| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2|) (|DirectProduct| |#1| |#2|)) "\\spad{map(f, v)} applies the function \\spad{f} to every element of the vector \\spad{v} producing a new vector containing the values.")) (|reduce| ((|#3| (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{reduce(func,vec,ident)} combines the elements in \\spad{vec} using the binary function \\spad{func}. Argument \\spad{ident} is returned if the vector is empty.")) (|scan| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{scan(func,vec,ident)} creates a new vector whose elements are the result of applying reduce to the binary function \\spad{func},{} increasing initial subsequences of the vector \\spad{vec},{} and the element \\spad{ident}."))) NIL NIL -(-242 -2550 R) +(-242 -2549 R) ((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying component type. This contrasts with simple vectors in that the members can be viewed as having constant length. Thus many categorical properties can by lifted from the underlying component type. Component extraction operations are provided but no updating operations. Thus new direct product elements can either be created by converting vector elements using the \\spadfun{directProduct} function or by taking appropriate linear combinations of basis vectors provided by the \\spad{unitVector} operation."))) ((-4446 |has| |#2| (-1058)) (-4447 |has| |#2| (-1058)) (-4449 |has| |#2| (-6 -4449)) ((-4454 "*") |has| |#2| (-174)) (-4452 . 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(|sayLength| (((|Integer|) (|List| (|String|))) "\\spad{sayLength(l)} returns the length of a list of strings \\spad{l} as an integer.") (((|Integer|) (|String|)) "\\spad{sayLength(s)} returns the length of a string \\spad{s} as an integer.")) (|say| (((|Void|) (|List| (|String|))) "\\spad{say(l)} sends a list of strings \\spad{l} to output.") (((|Void|) (|String|)) "\\spad{say(s)} sends a string \\spad{s} to output.")) (|center| (((|List| (|String|)) (|List| (|String|)) (|Integer|) (|String|)) "\\spad{center(l,i,s)} takes a list of strings \\spad{l},{} and centers them within a list of strings which is \\spad{i} characters long,{} in which the remaining spaces are filled with strings composed of as many repetitions as possible of the last string parameter \\spad{s}.") (((|String|) (|String|) (|Integer|) (|String|)) "\\spad{center(s,i,s)} takes the first string \\spad{s},{} and centers it within a string of length \\spad{i},{} in which the other elements of the string are composed of as many replications as possible of the second indicated string,{} \\spad{s} which must have a length greater than that of an empty string.")) (|copies| (((|String|) (|Integer|) (|String|)) "\\spad{copies(i,s)} will take a string \\spad{s} and create a new string composed of \\spad{i} copies of \\spad{s}.")) (|newLine| (((|String|)) "\\spad{newLine()} sends a new line command to output.")) (|bright| (((|List| (|String|)) (|List| (|String|))) "\\spad{bright(l)} sets the font property of a list of strings,{} \\spad{l},{} to bold-face type.") (((|List| (|String|)) (|String|)) "\\spad{bright(s)} sets the font property of the string \\spad{s} to bold-face type."))) NIL @@ -919,7 +919,7 @@ NIL (-247 S) ((|constructor| (NIL "This domain provides some nice functions on lists")) (|elt| (((|NonNegativeInteger|) $ "count") "\\axiom{\\spad{l}.\"count\"} returns the number of elements in \\axiom{\\spad{l}}.") (($ $ "sort") "\\axiom{\\spad{l}.sort} returns \\axiom{\\spad{l}} with elements sorted. Note: \\axiom{\\spad{l}.sort = sort(\\spad{l})}") (($ $ "unique") "\\axiom{\\spad{l}.unique} returns \\axiom{\\spad{l}} with duplicates removed. Note: \\axiom{\\spad{l}.unique = removeDuplicates(\\spad{l})}.")) (|datalist| (($ (|List| |#1|)) "\\spad{datalist(l)} creates a datalist from \\spad{l}"))) ((-4453 . T) (-4452 . T)) -((-2895 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2895 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) +((-2892 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2892 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-248 M) ((|constructor| (NIL "DiscreteLogarithmPackage implements help functions for discrete logarithms in monoids using small cyclic groups.")) (|shanksDiscLogAlgorithm| (((|Union| (|NonNegativeInteger|) "failed") |#1| |#1| (|NonNegativeInteger|)) "\\spad{shanksDiscLogAlgorithm(b,a,p)} computes \\spad{s} with \\spad{b**s = a} for assuming that \\spad{a} and \\spad{b} are elements in a 'small' cyclic group of order \\spad{p} by Shank\\spad{'s} algorithm. Note: this is a subroutine of the function \\spadfun{discreteLog}.")) (** ((|#1| |#1| (|Integer|)) "\\spad{x ** n} returns \\spad{x} raised to the integer power \\spad{n}"))) NIL @@ -927,7 +927,7 @@ NIL (-249 |vl| R) ((|constructor| (NIL "\\indented{2}{This type supports distributed multivariate polynomials} whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is lexicographic specified by the variable list parameter with the most significant variable first in the list.")) 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(|reflect| (($ (|ConstructorCall| (|DomainConstructor|))) "\\spad{reflect cc} returns the domain object designated by the ConstructorCall syntax `cc'. The constructor implied by `cc' must be known to the system since it is instantiated.")) (|reify| (((|ConstructorCall| (|DomainConstructor|)) $) "\\spad{reify(d)} returns the abstract syntax for the domain \\spad{`x'}.")) (|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Create: October 18,{} 2007. Date Last Updated: December 20,{} 2008. Basic Operations: coerce,{} reify Related Constructors: Type,{} Syntax,{} OutputForm Also See: Type,{} ConstructorCall") (((|DomainConstructor|) $) "\\spad{constructor(d)} returns the domain constructor that is instantiated to the domain object \\spad{`d'}."))) 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(QUOTE -907) (QUOTE (-1186))))) (-12 (|HasCategory| |#3| (QUOTE (-235))) (|HasCategory| |#3| (QUOTE (-1058)))) (-2892 (-12 (|HasCategory| |#3| (QUOTE (-235))) (|HasCategory| |#3| (QUOTE (-1058)))) (|HasCategory| |#3| (QUOTE (-732))) (-12 (|HasCategory| |#3| (QUOTE (-1058))) (|HasCategory| |#3| (LIST (QUOTE -645) (QUOTE (-570))))) (-12 (|HasCategory| |#3| (QUOTE (-1058))) (|HasCategory| |#3| (LIST (QUOTE -907) (QUOTE (-1186)))))) (-12 (|HasCategory| |#3| (QUOTE (-1109))) (|HasCategory| |#3| (LIST (QUOTE -1047) (QUOTE (-570))))) (-2892 (|HasCategory| |#3| (QUOTE (-1058))) (-12 (|HasCategory| |#3| (QUOTE (-1109))) (|HasCategory| |#3| (LIST (QUOTE -1047) (QUOTE (-570)))))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#3| (QUOTE (-1109)))) (-2892 (|HasAttribute| |#3| (QUOTE -4449)) (-12 (|HasCategory| |#3| (QUOTE (-235))) (|HasCategory| |#3| (QUOTE (-1058)))) (-12 (|HasCategory| |#3| (QUOTE (-1058))) (|HasCategory| |#3| (LIST (QUOTE -645) (QUOTE (-570))))) (-12 (|HasCategory| |#3| (QUOTE (-1058))) (|HasCategory| |#3| (LIST (QUOTE -907) (QUOTE (-1186)))))) (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#3| (QUOTE (-1109))) (|HasCategory| |#3| (LIST (QUOTE -313) (|devaluate| |#3|))))) (-255 A R S V E) ((|constructor| (NIL "\\spadtype{DifferentialPolynomialCategory} is a category constructor specifying basic functions in an ordinary differential polynomial ring with a given ordered set of differential indeterminates. In addition,{} it implements defaults for the basic functions. The functions \\spadfun{order} and \\spadfun{weight} are extended from the set of derivatives of differential indeterminates to the set of differential polynomials. Other operations provided on differential polynomials are \\spadfun{leader},{} \\spadfun{initial},{} \\spadfun{separant},{} \\spadfun{differentialVariables},{} and \\spadfun{isobaric?}. Furthermore,{} if the ground ring is a differential ring,{} then evaluation (substitution of differential indeterminates by elements of the ground ring or by differential polynomials) is provided by \\spadfun{eval}. A convenient way of referencing derivatives is provided by the functions \\spadfun{makeVariable}. \\blankline To construct a domain using this constructor,{} one needs to provide a ground ring \\spad{R},{} an ordered set \\spad{S} of differential indeterminates,{} a ranking \\spad{V} on the set of derivatives of the differential indeterminates,{} and a set \\spad{E} of exponents in bijection with the set of differential monomials in the given differential indeterminates. \\blankline")) (|separant| (($ $) "\\spad{separant(p)} returns the partial derivative of the differential polynomial \\spad{p} with respect to its leader.")) (|initial| (($ $) "\\spad{initial(p)} returns the leading coefficient when the differential polynomial \\spad{p} is written as a univariate polynomial in its leader.")) (|leader| ((|#4| $) "\\spad{leader(p)} returns the derivative of the highest rank appearing in the differential polynomial \\spad{p} Note: an error occurs if \\spad{p} is in the ground ring.")) (|isobaric?| (((|Boolean|) $) "\\spad{isobaric?(p)} returns \\spad{true} if every differential monomial appearing in the differential polynomial \\spad{p} has same weight,{} and returns \\spad{false} otherwise.")) (|weight| (((|NonNegativeInteger|) $ |#3|) "\\spad{weight(p, s)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|NonNegativeInteger|) $) "\\spad{weight(p)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p}.")) (|weights| (((|List| (|NonNegativeInteger|)) $ |#3|) "\\spad{weights(p, s)} returns a list of weights of differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|List| (|NonNegativeInteger|)) $) "\\spad{weights(p)} returns a list of weights of differential monomials appearing in differential polynomial \\spad{p}.")) (|degree| (((|NonNegativeInteger|) $ |#3|) "\\spad{degree(p, s)} returns the maximum degree of the differential polynomial \\spad{p} viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(p)} returns the order of the differential polynomial \\spad{p},{} which is the maximum number of differentiations of a differential indeterminate,{} among all those appearing in \\spad{p}.") (((|NonNegativeInteger|) $ |#3|) "\\spad{order(p,s)} returns the order of the differential polynomial \\spad{p} in differential indeterminate \\spad{s}.")) (|differentialVariables| (((|List| |#3|) $) "\\spad{differentialVariables(p)} returns a list of differential indeterminates occurring in a differential polynomial \\spad{p}.")) (|makeVariable| (((|Mapping| $ (|NonNegativeInteger|)) $) "\\spad{makeVariable(p)} views \\spad{p} as an element of a differential ring,{} in such a way that the \\spad{n}-th derivative of \\spad{p} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} \\spad{:=} makeVariable(\\spad{p}). Note: In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored.") (((|Mapping| $ (|NonNegativeInteger|)) |#3|) "\\spad{makeVariable(s)} views \\spad{s} as a differential indeterminate,{} in such a way that the \\spad{n}-th derivative of \\spad{s} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} :=makeVariable(\\spad{s}). Note: In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored."))) NIL @@ -999,7 +999,7 @@ NIL (-267 R S V) ((|constructor| (NIL "\\spadtype{DifferentialSparseMultivariatePolynomial} implements an ordinary differential polynomial ring by combining a domain belonging to the category \\spadtype{DifferentialVariableCategory} with the domain \\spadtype{SparseMultivariatePolynomial}. \\blankline"))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4450 |has| |#1| (-6 -4450)) (-4447 . T) (-4446 . T) (-4449 . T)) -((|HasCategory| |#1| (QUOTE (-916))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-916)))) (-2895 (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-916)))) (-2895 (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-174))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| |#3| (LIST (QUOTE -893) (QUOTE (-384))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| |#3| (LIST (QUOTE -893) (QUOTE (-570))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| |#3| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| |#3| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#3| (LIST (QUOTE -620) (QUOTE (-542))))) (|HasCategory| |#1| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (-2895 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-235))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasAttribute| |#1| (QUOTE -4450)) (|HasCategory| |#1| (QUOTE (-458))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (-2895 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-916))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-916)))) (-2892 (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-916)))) (-2892 (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-174))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| |#3| (LIST (QUOTE -893) (QUOTE (-384))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| |#3| (LIST (QUOTE -893) (QUOTE (-570))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| |#3| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| |#3| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#3| (LIST (QUOTE -620) (QUOTE (-542))))) (|HasCategory| |#1| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (-2892 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-235))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasAttribute| |#1| (QUOTE -4450)) (|HasCategory| |#1| (QUOTE (-458))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-146))))) (-268 A S) ((|constructor| (NIL "\\spadtype{DifferentialVariableCategory} constructs the set of derivatives of a given set of (ordinary) differential indeterminates. If \\spad{x},{}...,{}\\spad{y} is an ordered set of differential indeterminates,{} and the prime notation is used for differentiation,{} then the set of derivatives (including zero-th order) of the differential indeterminates is \\spad{x},{}\\spad{x'},{}\\spad{x''},{}...,{} \\spad{y},{}\\spad{y'},{}\\spad{y''},{}... (Note: in the interpreter,{} the \\spad{n}-th derivative of \\spad{y} is displayed as \\spad{y} with a subscript \\spad{n}.) This set is viewed as a set of algebraic indeterminates,{} totally ordered in a way compatible with differentiation and the given order on the differential indeterminates. Such a total order is called a ranking of the differential indeterminates. \\blankline A domain in this category is needed to construct a differential polynomial domain. Differential polynomials are ordered by a ranking on the derivatives,{} and by an order (extending the ranking) on on the set of differential monomials. One may thus associate a domain in this category with a ranking of the differential indeterminates,{} just as one associates a domain in the category \\spadtype{OrderedAbelianMonoidSup} with an ordering of the set of monomials in a set of algebraic indeterminates. The ranking is specified through the binary relation \\spadfun{<}. For example,{} one may define one derivative to be less than another by lexicographically comparing first the \\spadfun{order},{} then the given order of the differential indeterminates appearing in the derivatives. This is the default implementation. \\blankline The notion of weight generalizes that of degree. A polynomial domain may be made into a graded ring if a weight function is given on the set of indeterminates,{} Very often,{} a grading is the first step in ordering the set of monomials. For differential polynomial domains,{} this constructor provides a function \\spadfun{weight},{} which allows the assignment of a non-negative number to each derivative of a differential indeterminate. For example,{} one may define the weight of a derivative to be simply its \\spadfun{order} (this is the default assignment). This weight function can then be extended to the set of all differential polynomials,{} providing a graded ring structure.")) (|coerce| (($ |#2|) "\\spad{coerce(s)} returns \\spad{s},{} viewed as the zero-th order derivative of \\spad{s}.")) (|differentiate| (($ $ (|NonNegativeInteger|)) "\\spad{differentiate(v, n)} returns the \\spad{n}-th derivative of \\spad{v}.") (($ $) "\\spad{differentiate(v)} returns the derivative of \\spad{v}.")) (|weight| (((|NonNegativeInteger|) $) "\\spad{weight(v)} returns the weight of the derivative \\spad{v}.")) (|variable| ((|#2| $) "\\spad{variable(v)} returns \\spad{s} if \\spad{v} is any derivative of the differential indeterminate \\spad{s}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(v)} returns \\spad{n} if \\spad{v} is the \\spad{n}-th derivative of any differential indeterminate.")) (|makeVariable| (($ |#2| (|NonNegativeInteger|)) "\\spad{makeVariable(s, n)} returns the \\spad{n}-th derivative of a differential indeterminate \\spad{s} as an algebraic indeterminate."))) NIL @@ -1100,7 +1100,7 @@ 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 -(-293 S R |Mod| -3547 -3183 |exactQuo|) +(-293 S R |Mod| -2077 -2948 |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| $) "\\spad{modulus(x)} \\undocumented"))) ((-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) NIL @@ -1122,12 +1122,12 @@ NIL NIL (-298 S) ((|constructor| (NIL "Equations as mathematical objects. All properties of the basis domain,{} \\spadignore{e.g.} being an abelian group are carried over the equation domain,{} by performing the structural operations on the left and on the right hand side.")) (|subst| (($ $ $) "\\spad{subst(eq1,eq2)} substitutes \\spad{eq2} into both sides of \\spad{eq1} the \\spad{lhs} of \\spad{eq2} should be a kernel")) (|inv| (($ $) "\\spad{inv(x)} returns the multiplicative inverse of \\spad{x}.")) (/ (($ $ $) "\\spad{e1/e2} produces a new equation by dividing the left and right hand sides of equations e1 and e2.")) (|factorAndSplit| (((|List| $) $) "\\spad{factorAndSplit(eq)} make the right hand side 0 and factors the new left hand side. Each factor is equated to 0 and put into the resulting list without repetitions.")) (|rightOne| (((|Union| $ "failed") $) "\\spad{rightOne(eq)} divides by the right hand side.") (((|Union| $ "failed") $) "\\spad{rightOne(eq)} divides by the right hand side,{} if possible.")) (|leftOne| (((|Union| $ "failed") $) "\\spad{leftOne(eq)} divides by the left hand side.") (((|Union| $ "failed") $) "\\spad{leftOne(eq)} divides by the left hand side,{} if possible.")) (* (($ $ |#1|) "\\spad{eqn*x} produces a new equation by multiplying both sides of equation eqn by \\spad{x}.") (($ |#1| $) "\\spad{x*eqn} produces a new equation by multiplying both sides of equation eqn by \\spad{x}.")) (- (($ $ |#1|) "\\spad{eqn-x} produces a new equation by subtracting \\spad{x} from both sides of equation eqn.") (($ |#1| $) "\\spad{x-eqn} produces a new equation by subtracting both sides of equation eqn from \\spad{x}.")) (|rightZero| (($ $) "\\spad{rightZero(eq)} subtracts the right hand side.")) (|leftZero| (($ $) "\\spad{leftZero(eq)} subtracts the left hand side.")) (+ (($ $ |#1|) "\\spad{eqn+x} produces a new equation by adding \\spad{x} to both sides of equation eqn.") (($ |#1| $) "\\spad{x+eqn} produces a new equation by adding \\spad{x} to both sides of equation eqn.")) (|eval| (($ $ (|List| $)) "\\spad{eval(eqn, [x1=v1, ... xn=vn])} replaces \\spad{xi} by \\spad{vi} in equation \\spad{eqn}.") (($ $ $) "\\spad{eval(eqn, x=f)} replaces \\spad{x} by \\spad{f} in equation \\spad{eqn}.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,eqn)} constructs a new equation by applying \\spad{f} to both sides of \\spad{eqn}.")) (|rhs| ((|#1| $) "\\spad{rhs(eqn)} returns the right hand side of equation \\spad{eqn}.")) (|lhs| ((|#1| $) "\\spad{lhs(eqn)} returns the left hand side of equation \\spad{eqn}.")) (|swap| (($ $) "\\spad{swap(eq)} interchanges left and right hand side of equation \\spad{eq}.")) (|equation| (($ |#1| |#1|) "\\spad{equation(a,b)} creates an equation.")) 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Thus keys are considered equal only if they are the same instance of a structure."))) ((-4452 . T) (-4453 . 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Typically,{} these functions would be called in user functions. The simple forms of the functions take one argument which is either a string (an error message) or a list of strings which all together make up a message. The list can contain formatting codes (see below). The more sophisticated versions takes two arguments where the first argument is the name of the function from which the error was invoked and the second argument is either a string or a list of strings,{} as above. When you use the one argument version in an interpreter function,{} the system will automatically insert the name of the function as the new first argument. Thus in the user interpreter function \\indented{2}{\\spad{f x == if x < 0 then error \"negative argument\" else x}} the call to error will actually be of the form \\indented{2}{\\spad{error(\"f\",\"negative argument\")}} because the interpreter will have created a new first argument. \\blankline Formatting codes: error messages may contain the following formatting codes (they should either start or end a string or else have blanks around them): \\indented{3}{\\spad{\\%l}\\space{6}start a new line} \\indented{3}{\\spad{\\%b}\\space{6}start printing in a bold font (where available)} \\indented{3}{\\spad{\\%d}\\space{6}stop\\space{2}printing in a bold font (where available)} \\indented{3}{\\spad{ \\%ceon}\\space{2}start centering message lines} \\indented{3}{\\spad{\\%ceoff}\\space{2}stop\\space{2}centering message lines} \\indented{3}{\\spad{\\%rjon}\\space{3}start displaying lines \"ragged left\"} \\indented{3}{\\spad{\\%rjoff}\\space{2}stop\\space{2}displaying lines \"ragged left\"} \\indented{3}{\\spad{\\%i}\\space{6}indent\\space{3}following lines 3 additional spaces} \\indented{3}{\\spad{\\%u}\\space{6}unindent following lines 3 additional spaces} \\indented{3}{\\spad{\\%xN}\\space{5}insert \\spad{N} blanks (eg,{} \\spad{\\%x10} inserts 10 blanks)} \\blankline")) (|error| (((|Exit|) (|String|) (|List| (|String|))) "\\spad{error(nam,lmsg)} displays error messages \\spad{lmsg} preceded by a message containing the name \\spad{nam} of the function in which the error is contained.") (((|Exit|) (|String|) (|String|)) "\\spad{error(nam,msg)} displays error message \\spad{msg} preceded by a message containing the name \\spad{nam} of the function in which the error is contained.") (((|Exit|) (|List| (|String|))) "\\spad{error(lmsg)} displays error message \\spad{lmsg} and terminates.") (((|Exit|) (|String|)) "\\spad{error(msg)} displays error message \\spad{msg} and terminates."))) NIL @@ -1199,7 +1199,7 @@ NIL (-317 R FE |var| |cen|) ((|constructor| (NIL "UnivariatePuiseuxSeriesWithExponentialSingularity is a domain used to represent essential singularities of functions. Objects in this domain are quotients of sums,{} where each term in the sum is a univariate Puiseux series times the exponential of a univariate Puiseux series.")) (|coerce| (($ (|UnivariatePuiseuxSeries| |#2| |#3| |#4|)) "\\spad{coerce(f)} converts a \\spadtype{UnivariatePuiseuxSeries} to an \\spadtype{ExponentialExpansion}.")) (|limitPlus| (((|Union| (|OrderedCompletion| |#2|) "failed") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> a+,f(var))}."))) ((-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-916))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -1047) (QUOTE (-1186)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-146))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-1031))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-826))) (-2895 (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-826))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-856)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-1161))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-235))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -520) (QUOTE (-1186)) (LIST (QUOTE -1263) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -313) (LIST (QUOTE -1263) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -290) (LIST (QUOTE -1263) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)) (LIST (QUOTE -1263) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-311))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-551))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-856))) (-12 (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-916))) (|HasCategory| $ (QUOTE (-146)))) (-2895 (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-146))) (-12 (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-916))) (|HasCategory| $ (QUOTE (-146)))))) +((|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-916))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -1047) (QUOTE (-1186)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-146))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-1031))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-826))) (-2892 (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-826))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-856)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-1161))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-235))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -520) (QUOTE (-1186)) (LIST (QUOTE -1263) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -313) (LIST (QUOTE -1263) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (LIST (QUOTE -290) (LIST (QUOTE -1263) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)) (LIST (QUOTE -1263) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-311))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-551))) (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-856))) (-12 (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-916))) (|HasCategory| $ (QUOTE (-146)))) (-2892 (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-146))) (-12 (|HasCategory| (-1263 |#1| |#2| |#3| |#4|) (QUOTE (-916))) (|HasCategory| $ (QUOTE (-146)))))) (-318 R S) ((|constructor| (NIL "Lifting of maps to Expressions. Date Created: 16 Jan 1989 Date Last Updated: 22 Jan 1990")) (|map| (((|Expression| |#2|) (|Mapping| |#2| |#1|) (|Expression| |#1|)) "\\spad{map(f, e)} applies \\spad{f} to all the constants appearing in \\spad{e}."))) NIL @@ -1210,8 +1210,8 @@ NIL NIL (-320 R) ((|constructor| (NIL "Expressions involving symbolic functions.")) (|squareFreePolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{squareFreePolynomial(p)} \\undocumented{}")) (|factorPolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{factorPolynomial(p)} \\undocumented{}")) (|simplifyPower| (($ $ (|Integer|)) "simplifyPower?(\\spad{f},{}\\spad{n}) \\undocumented{}")) (|number?| (((|Boolean|) $) "\\spad{number?(f)} tests if \\spad{f} is rational")) (|reduce| (($ $) "\\spad{reduce(f)} simplifies all the unreduced algebraic quantities present in \\spad{f} by applying their defining relations."))) -((-4449 -2895 (-1810 (|has| |#1| (-1058)) (|has| |#1| (-645 (-570)))) (-12 (|has| |#1| (-562)) (-2895 (-1810 (|has| |#1| (-1058)) (|has| |#1| (-645 (-570)))) (|has| |#1| (-1058)) (|has| |#1| (-479)))) (|has| |#1| (-1058)) (|has| |#1| (-479))) (-4447 |has| |#1| (-174)) (-4446 |has| |#1| (-174)) ((-4454 "*") |has| |#1| (-562)) (-4445 |has| |#1| (-562)) (-4450 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(|HasCategory| |#1| (QUOTE (-25))) (-12 (|HasCategory| |#1| (QUOTE (-1058))) (|HasCategory| |#1| (LIST (QUOTE -645) (QUOTE (-570)))))) (-2892 (|HasCategory| |#1| (QUOTE (-479))) (|HasCategory| |#1| (QUOTE (-1058)))) (-2892 (-12 (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| $ (QUOTE (-1058))) (|HasCategory| $ (LIST (QUOTE -1047) (QUOTE (-570))))) (-321 R -1709) ((|constructor| (NIL "Taylor series solutions of explicit ODE\\spad{'s}.")) (|seriesSolve| (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve(eq, y, x = a, [b0,...,bn])} is equivalent to \\spad{seriesSolve(eq = 0, y, x = a, [b0,...,b(n-1)])}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|Equation| |#2|)) "\\spad{seriesSolve(eq, y, x = a, y a = b)} is equivalent to \\spad{seriesSolve(eq=0, y, x=a, y a = b)}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq, y, x = a, b)} is equivalent to \\spad{seriesSolve(eq = 0, y, x = a, y a = b)}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq,y, x=a, b)} is equivalent to \\spad{seriesSolve(eq, y, x=a, y a = b)}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "\\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x = a,[y1 a = b1,..., yn a = bn])} is equivalent to \\spad{seriesSolve([eq1=0,...,eqn=0], [y1,...,yn], x = a, [y1 a = b1,..., yn a = bn])}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x=a, [b1,...,bn])} is equivalent to \\spad{seriesSolve([eq1=0,...,eqn=0], [y1,...,yn], x=a, [b1,...,bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x=a, [b1,...,bn])} is equivalent to \\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x = a, [y1 a = b1,..., yn a = bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "\\spad{seriesSolve([eq1,...,eqn],[y1,...,yn],x = a,[y1 a = b1,...,yn a = bn])} returns a taylor series solution of \\spad{[eq1,...,eqn]} around \\spad{x = a} with initial conditions \\spad{yi(a) = bi}. Note: eqi must be of the form \\spad{fi(x, y1 x, y2 x,..., yn x) y1'(x) + gi(x, y1 x, y2 x,..., yn x) = h(x, y1 x, y2 x,..., yn x)}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve(eq,y,x=a,[b0,...,b(n-1)])} returns a Taylor series solution of \\spad{eq} around \\spad{x = a} with initial conditions \\spad{y(a) = b0},{} \\spad{y'(a) = b1},{} \\spad{y''(a) = b2},{} ...,{}\\spad{y(n-1)(a) = b(n-1)} \\spad{eq} must be of the form \\spad{f(x, y x, y'(x),..., y(n-1)(x)) y(n)(x) + g(x,y x,y'(x),...,y(n-1)(x)) = h(x,y x, y'(x),..., y(n-1)(x))}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|Equation| |#2|)) "\\spad{seriesSolve(eq,y,x=a, y a = b)} returns a Taylor series solution of \\spad{eq} around \\spad{x} = a with initial condition \\spad{y(a) = b}. Note: \\spad{eq} must be of the form \\spad{f(x, y x) y'(x) + g(x, y x) = h(x, y x)}."))) NIL @@ -1223,7 +1223,7 @@ NIL (-323 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."))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4450 |has| |#1| (-368)) (-4444 |has| |#1| (-368)) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-174))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|)))) (|HasCategory| (-413 (-570)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-368))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-2895 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasSignature| |#1| (LIST (QUOTE -3802) (LIST (|devaluate| |#1|) (QUOTE (-1186)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (-2895 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-966))) (|HasCategory| |#1| (QUOTE (-1212))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasSignature| |#1| (LIST (QUOTE -2023) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1186))))) (|HasSignature| |#1| (LIST (QUOTE -1755) (LIST (LIST (QUOTE -650) (QUOTE (-1186))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-174))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|)))) (|HasCategory| (-413 (-570)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-368))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-2892 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasSignature| |#1| (LIST (QUOTE -3802) (LIST (|devaluate| |#1|) (QUOTE (-1186)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (-2892 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-966))) (|HasCategory| |#1| (QUOTE (-1212))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasSignature| |#1| (LIST (QUOTE -3170) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1186))))) (|HasSignature| |#1| (LIST (QUOTE -1755) (LIST (LIST (QUOTE -650) (QUOTE (-1186))) (|devaluate| |#1|))))))) (-324 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 @@ -1255,7 +1255,7 @@ NIL (-331 S) ((|constructor| (NIL "\\indented{1}{A FlexibleArray is the notion of an array intended to allow for growth} at the end only. Hence the following efficient operations \\indented{2}{\\spad{append(x,a)} meaning append item \\spad{x} at the end of the array \\spad{a}} \\indented{2}{\\spad{delete(a,n)} meaning delete the last item from the array \\spad{a}} Flexible arrays support the other operations inherited from \\spadtype{ExtensibleLinearAggregate}. However,{} these are not efficient. Flexible arrays combine the \\spad{O(1)} access time property of arrays with growing and shrinking at the end in \\spad{O(1)} (average) time. This is done by using an ordinary array which may have zero or more empty slots at the end. When the array becomes full it is copied into a new larger (50\\% larger) array. Conversely,{} when the array becomes less than 1/2 full,{} it is copied into a smaller array. Flexible arrays provide for an efficient implementation of many data structures in particular heaps,{} stacks and sets."))) ((-4453 . T) (-4452 . T)) -((-2895 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2895 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) +((-2892 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2892 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-332 S -1709) ((|constructor| (NIL "FiniteAlgebraicExtensionField {\\em F} is the category of fields which are finite algebraic extensions of the field {\\em F}. If {\\em F} is finite then any finite algebraic extension of {\\em F} is finite,{} too. Let {\\em K} be a finite algebraic extension of the finite field {\\em F}. The exponentiation of elements of {\\em K} defines a \\spad{Z}-module structure on the multiplicative group of {\\em K}. The additive group of {\\em K} becomes a module over the ring of polynomials over {\\em F} via the operation \\spadfun{linearAssociatedExp}(a:K,{}f:SparseUnivariatePolynomial \\spad{F}) which is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em K},{} {\\em c,d} from {\\em F} and {\\em f,g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)} where {\\em q=size()\\$F}. The operations order and discreteLog associated with the multiplicative exponentiation have additive analogues associated to the operation \\spadfun{linearAssociatedExp}. These are the functions \\spadfun{linearAssociatedOrder} and \\spadfun{linearAssociatedLog},{} respectively.")) (|linearAssociatedLog| (((|Union| (|SparseUnivariatePolynomial| |#2|) "failed") $ $) "\\spad{linearAssociatedLog(b,a)} returns a polynomial {\\em g},{} such that the \\spadfun{linearAssociatedExp}(\\spad{b},{}\\spad{g}) equals {\\em a}. If there is no such polynomial {\\em g},{} then \\spadfun{linearAssociatedLog} fails.") (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{linearAssociatedLog(a)} returns a polynomial {\\em g},{} such that \\spadfun{linearAssociatedExp}(normalElement(),{}\\spad{g}) equals {\\em a}.")) (|linearAssociatedOrder| (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{linearAssociatedOrder(a)} retruns the monic polynomial {\\em g} of least degree,{} such that \\spadfun{linearAssociatedExp}(a,{}\\spad{g}) is 0.")) (|linearAssociatedExp| (($ $ (|SparseUnivariatePolynomial| |#2|)) "\\spad{linearAssociatedExp(a,f)} is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em \\$},{} {\\em c,d} form {\\em F} and {\\em f,g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)},{} where {\\em q=size()\\$F}.")) (|generator| (($) "\\spad{generator()} returns a root of the defining polynomial. This element generates the field as an algebra over the ground field.")) (|normal?| (((|Boolean|) $) "\\spad{normal?(a)} tests whether the element \\spad{a} is normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i), 0 <= i <= extensionDegree()-1} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Implementation according to Lidl/Niederreiter: Theorem 2.39.")) (|normalElement| (($) "\\spad{normalElement()} returns a element,{} normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i), 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. At the first call,{} the element is computed by \\spadfunFrom{createNormalElement}{FiniteAlgebraicExtensionField} then cached in a global variable. On subsequent calls,{} the element is retrieved by referencing the global variable.")) (|createNormalElement| (($) "\\spad{createNormalElement()} computes a normal element over the ground field \\spad{F},{} that is,{} \\spad{a**(q**i), 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Reference: Such an element exists Lidl/Niederreiter: Theorem 2.35.")) (|trace| (($ $ (|PositiveInteger|)) "\\spad{trace(a,d)} computes the trace of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size \\spad{q}. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: \\spad{trace(a,d) = reduce(+,[a**(q**(d*i)) for i in 0..n/d])}.") ((|#2| $) "\\spad{trace(a)} computes the trace of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|norm| (($ $ (|PositiveInteger|)) "\\spad{norm(a,d)} computes the norm of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: norm(a,{}\\spad{d}) = reduce(*,{}[a**(\\spad{q**}(d*i)) for \\spad{i} in 0..\\spad{n/d}])") ((|#2| $) "\\spad{norm(a)} computes the norm of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|degree| (((|PositiveInteger|) $) "\\spad{degree(a)} returns the degree of the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|extensionDegree| (((|PositiveInteger|)) "\\spad{extensionDegree()} returns the degree of field extension.")) (|definingPolynomial| (((|SparseUnivariatePolynomial| |#2|)) "\\spad{definingPolynomial()} returns the polynomial used to define the field extension.")) (|minimalPolynomial| (((|SparseUnivariatePolynomial| $) $ (|PositiveInteger|)) "\\spad{minimalPolynomial(x,n)} computes the minimal polynomial of \\spad{x} over the field of extension degree \\spad{n} over the ground field \\spad{F}.") (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{minimalPolynomial(a)} returns the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|represents| (($ (|Vector| |#2|)) "\\spad{represents([a1,..,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#2|) (|Vector| $)) "\\spad{coordinates([v1,...,vm])} returns the coordinates of the \\spad{vi}\\spad{'s} with to the fixed basis. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#2|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{F}-vectorspace basis.")) (|basis| (((|Vector| $) (|PositiveInteger|)) "\\spad{basis(n)} returns a fixed basis of a subfield of \\spad{\\$} as \\spad{F}-vectorspace.") (((|Vector| $)) "\\spad{basis()} returns a fixed basis of \\spad{\\$} as \\spad{F}-vectorspace."))) NIL @@ -1323,15 +1323,15 @@ NIL (-348 |p| |extdeg|) ((|constructor| (NIL "FiniteFieldCyclicGroup(\\spad{p},{}\\spad{n}) implements a finite field extension of degee \\spad{n} over the prime field with \\spad{p} elements. Its elements are represented by powers of a primitive element,{} \\spadignore{i.e.} a generator of the multiplicative (cyclic) group. As primitive element we choose the root of the extension polynomial,{} which is created by {\\em createPrimitivePoly} from \\spadtype{FiniteFieldPolynomialPackage}. The Zech logarithms are stored in a table of size half of the field size,{} and use \\spadtype{SingleInteger} for representing field elements,{} hence,{} there are restrictions on the size of the field.")) (|getZechTable| (((|PrimitiveArray| (|SingleInteger|))) "\\spad{getZechTable()} returns the zech logarithm table of the field. This table is used to perform additions in the field quickly."))) ((-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((-2895 (|HasCategory| (-917 |#1|) (QUOTE (-146))) (|HasCategory| (-917 |#1|) (QUOTE (-373)))) (|HasCategory| (-917 |#1|) (QUOTE (-148))) (|HasCategory| (-917 |#1|) (QUOTE (-373))) (|HasCategory| (-917 |#1|) (QUOTE (-146)))) +((-2892 (|HasCategory| (-917 |#1|) (QUOTE (-146))) (|HasCategory| (-917 |#1|) (QUOTE (-373)))) (|HasCategory| (-917 |#1|) (QUOTE (-148))) (|HasCategory| (-917 |#1|) (QUOTE (-373))) (|HasCategory| (-917 |#1|) (QUOTE (-146)))) (-349 GF |defpol|) ((|constructor| (NIL "FiniteFieldCyclicGroupExtensionByPolynomial(\\spad{GF},{}defpol) implements a finite extension field of the ground field {\\em GF}. Its elements are represented by powers of a primitive element,{} \\spadignore{i.e.} a generator of the multiplicative (cyclic) group. As primitive element we choose the root of the extension polynomial {\\em defpol},{} which MUST be primitive (user responsibility). Zech logarithms are stored in a table of size half of the field size,{} and use \\spadtype{SingleInteger} for representing field elements,{} hence,{} there are restrictions on the size of the field.")) (|getZechTable| (((|PrimitiveArray| (|SingleInteger|))) "\\spad{getZechTable()} returns the zech logarithm table of the field it is used to perform additions in the field quickly."))) ((-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((-2895 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-373)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#1| (QUOTE (-146)))) +((-2892 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-373)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#1| (QUOTE (-146)))) (-350 GF |extdeg|) ((|constructor| (NIL "FiniteFieldCyclicGroupExtension(\\spad{GF},{}\\spad{n}) implements a extension of degree \\spad{n} over the ground field {\\em GF}. Its elements are represented by powers of a primitive element,{} \\spadignore{i.e.} a generator of the multiplicative (cyclic) group. As primitive element we choose the root of the extension polynomial,{} which is created by {\\em createPrimitivePoly} from \\spadtype{FiniteFieldPolynomialPackage}. Zech logarithms are stored in a table of size half of the field size,{} and use \\spadtype{SingleInteger} for representing field elements,{} hence,{} there are restrictions on the size of the field.")) (|getZechTable| (((|PrimitiveArray| (|SingleInteger|))) "\\spad{getZechTable()} returns the zech logarithm table of the field. This table is used to perform additions in the field quickly."))) ((-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((-2895 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-373)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#1| (QUOTE (-146)))) +((-2892 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-373)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#1| (QUOTE (-146)))) (-351 GF) ((|constructor| (NIL "FiniteFieldFunctions(\\spad{GF}) is a package with functions concerning finite extension fields of the finite ground field {\\em GF},{} \\spadignore{e.g.} Zech logarithms.")) (|createLowComplexityNormalBasis| (((|Union| (|SparseUnivariatePolynomial| |#1|) (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) (|PositiveInteger|)) "\\spad{createLowComplexityNormalBasis(n)} tries to find a a low complexity normal basis of degree {\\em n} over {\\em GF} and returns its multiplication matrix If no low complexity basis is found it calls \\axiomFunFrom{createNormalPoly}{FiniteFieldPolynomialPackage}(\\spad{n}) to produce a normal polynomial of degree {\\em n} over {\\em GF}")) (|createLowComplexityTable| (((|Union| (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|))))) "failed") (|PositiveInteger|)) "\\spad{createLowComplexityTable(n)} tries to find a low complexity normal basis of degree {\\em n} over {\\em GF} and returns its multiplication matrix Fails,{} if it does not find a low complexity basis")) (|sizeMultiplication| (((|NonNegativeInteger|) (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{sizeMultiplication(m)} returns the number of entries of the multiplication table {\\em m}.")) (|createMultiplicationMatrix| (((|Matrix| |#1|) (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{createMultiplicationMatrix(m)} forms the multiplication table {\\em m} into a matrix over the ground field.")) (|createMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|))))) (|SparseUnivariatePolynomial| |#1|)) "\\spad{createMultiplicationTable(f)} generates a multiplication table for the normal basis of the field extension determined by {\\em f}. This is needed to perform multiplications between elements represented as coordinate vectors to this basis. See \\spadtype{FFNBP},{} \\spadtype{FFNBX}.")) (|createZechTable| (((|PrimitiveArray| (|SingleInteger|)) (|SparseUnivariatePolynomial| |#1|)) "\\spad{createZechTable(f)} generates a Zech logarithm table for the cyclic group representation of a extension of the ground field by the primitive polynomial {\\em f(x)},{} \\spadignore{i.e.} \\spad{Z(i)},{} defined by {\\em x**Z(i) = 1+x**i} is stored at index \\spad{i}. This is needed in particular to perform addition of field elements in finite fields represented in this way. See \\spadtype{FFCGP},{} \\spadtype{FFCGX}."))) NIL @@ -1355,23 +1355,23 @@ NIL (-356 |p| |extdeg|) ((|constructor| (NIL "FiniteFieldNormalBasis(\\spad{p},{}\\spad{n}) implements a finite extension field of degree \\spad{n} over the prime field with \\spad{p} elements. The elements are represented by coordinate vectors with respect to a normal basis,{} \\spadignore{i.e.} a basis consisting of the conjugates (\\spad{q}-powers) of an element,{} in this case called normal element. This is chosen as a root of the extension polynomial created by \\spadfunFrom{createNormalPoly}{FiniteFieldPolynomialPackage}.")) (|sizeMultiplication| (((|NonNegativeInteger|)) "\\spad{sizeMultiplication()} returns the number of entries in the multiplication table of the field. Note: The time of multiplication of field elements depends on this size.")) (|getMultiplicationMatrix| (((|Matrix| (|PrimeField| |#1|))) "\\spad{getMultiplicationMatrix()} returns the multiplication table in form of a matrix.")) (|getMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| (|PrimeField| |#1|)) (|:| |index| (|SingleInteger|)))))) "\\spad{getMultiplicationTable()} returns the multiplication table for the normal basis of the field. This table is used to perform multiplications between field elements."))) ((-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((-2895 (|HasCategory| (-917 |#1|) (QUOTE (-146))) (|HasCategory| (-917 |#1|) (QUOTE (-373)))) (|HasCategory| (-917 |#1|) (QUOTE (-148))) (|HasCategory| (-917 |#1|) (QUOTE (-373))) (|HasCategory| (-917 |#1|) (QUOTE (-146)))) +((-2892 (|HasCategory| (-917 |#1|) (QUOTE (-146))) (|HasCategory| (-917 |#1|) (QUOTE (-373)))) (|HasCategory| (-917 |#1|) (QUOTE (-148))) (|HasCategory| (-917 |#1|) (QUOTE (-373))) (|HasCategory| (-917 |#1|) (QUOTE (-146)))) (-357 GF |uni|) ((|constructor| (NIL "FiniteFieldNormalBasisExtensionByPolynomial(\\spad{GF},{}uni) implements a finite extension of the ground field {\\em GF}. The elements are represented by coordinate vectors with respect to. a normal basis,{} \\spadignore{i.e.} a basis consisting of the conjugates (\\spad{q}-powers) of an element,{} in this case called normal element,{} where \\spad{q} is the size of {\\em GF}. The normal element is chosen as a root of the extension polynomial,{} which MUST be normal over {\\em GF} (user responsibility)")) (|sizeMultiplication| (((|NonNegativeInteger|)) "\\spad{sizeMultiplication()} returns the number of entries in the multiplication table of the field. Note: the time of multiplication of field elements depends on this size.")) (|getMultiplicationMatrix| (((|Matrix| |#1|)) "\\spad{getMultiplicationMatrix()} returns the multiplication table in form of a matrix.")) (|getMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{getMultiplicationTable()} returns the multiplication table for the normal basis of the field. This table is used to perform multiplications between field elements."))) ((-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((-2895 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-373)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#1| (QUOTE (-146)))) +((-2892 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-373)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#1| (QUOTE (-146)))) (-358 GF |extdeg|) ((|constructor| (NIL "FiniteFieldNormalBasisExtensionByPolynomial(\\spad{GF},{}\\spad{n}) implements a finite extension field of degree \\spad{n} over the ground field {\\em GF}. The elements are represented by coordinate vectors with respect to a normal basis,{} \\spadignore{i.e.} a basis consisting of the conjugates (\\spad{q}-powers) of an element,{} in this case called normal element. This is chosen as a root of the extension polynomial,{} created by {\\em createNormalPoly} from \\spadtype{FiniteFieldPolynomialPackage}")) (|sizeMultiplication| (((|NonNegativeInteger|)) "\\spad{sizeMultiplication()} returns the number of entries in the multiplication table of the field. Note: the time of multiplication of field elements depends on this size.")) (|getMultiplicationMatrix| (((|Matrix| |#1|)) "\\spad{getMultiplicationMatrix()} returns the multiplication table in form of a matrix.")) (|getMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{getMultiplicationTable()} returns the multiplication table for the normal basis of the field. This table is used to perform multiplications between field elements."))) ((-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((-2895 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-373)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#1| (QUOTE (-146)))) +((-2892 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-373)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#1| (QUOTE (-146)))) (-359 |p| |n|) ((|constructor| (NIL "FiniteField(\\spad{p},{}\\spad{n}) implements finite fields with p**n elements. This packages checks that \\spad{p} is prime. For a non-checking version,{} see \\spadtype{InnerFiniteField}."))) ((-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((-2895 (|HasCategory| (-917 |#1|) (QUOTE (-146))) (|HasCategory| (-917 |#1|) (QUOTE (-373)))) (|HasCategory| (-917 |#1|) (QUOTE (-148))) (|HasCategory| (-917 |#1|) (QUOTE (-373))) (|HasCategory| (-917 |#1|) (QUOTE (-146)))) +((-2892 (|HasCategory| (-917 |#1|) (QUOTE (-146))) (|HasCategory| (-917 |#1|) (QUOTE (-373)))) (|HasCategory| (-917 |#1|) (QUOTE (-148))) (|HasCategory| (-917 |#1|) (QUOTE (-373))) (|HasCategory| (-917 |#1|) (QUOTE (-146)))) (-360 GF |defpol|) ((|constructor| (NIL "FiniteFieldExtensionByPolynomial(\\spad{GF},{} defpol) implements the extension of the finite field {\\em GF} generated by the extension polynomial {\\em defpol} which MUST be irreducible. Note: the user has the responsibility to ensure that {\\em defpol} is irreducible."))) ((-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((-2895 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-373)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#1| (QUOTE (-146)))) +((-2892 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-373)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#1| (QUOTE (-146)))) (-361 -1709 GF) ((|constructor| (NIL "FiniteFieldPolynomialPackage2(\\spad{F},{}\\spad{GF}) exports some functions concerning finite fields,{} which depend on a finite field {\\em GF} and an algebraic extension \\spad{F} of {\\em GF},{} \\spadignore{e.g.} a zero of a polynomial over {\\em GF} in \\spad{F}.")) (|rootOfIrreduciblePoly| ((|#1| (|SparseUnivariatePolynomial| |#2|)) "\\spad{rootOfIrreduciblePoly(f)} computes one root of the monic,{} irreducible polynomial \\spad{f},{} which degree must divide the extension degree of {\\em F} over {\\em GF},{} \\spadignore{i.e.} \\spad{f} splits into linear factors over {\\em F}.")) (|Frobenius| ((|#1| |#1|) "\\spad{Frobenius(x)} \\undocumented{}")) (|basis| (((|Vector| |#1|) (|PositiveInteger|)) "\\spad{basis(n)} \\undocumented{}")) (|lookup| (((|PositiveInteger|) |#1|) "\\spad{lookup(x)} \\undocumented{}")) (|coerce| ((|#1| |#2|) "\\spad{coerce(x)} \\undocumented{}"))) NIL @@ -1387,7 +1387,7 @@ NIL (-364 GF |n|) ((|constructor| (NIL "FiniteFieldExtensionByPolynomial(\\spad{GF},{} \\spad{n}) implements an extension of the finite field {\\em GF} of degree \\spad{n} generated by the extension polynomial constructed by \\spadfunFrom{createIrreduciblePoly}{FiniteFieldPolynomialPackage} from \\spadtype{FiniteFieldPolynomialPackage}."))) ((-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((-2895 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-373)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#1| (QUOTE (-146)))) +((-2892 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-373)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#1| (QUOTE (-146)))) (-365 R |ls|) ((|constructor| (NIL "This is just an interface between several packages and domains. The goal is to compute lexicographical Groebner bases of sets of polynomial with type \\spadtype{Polynomial R} by the {\\em FGLM} algorithm if this is possible (\\spadignore{i.e.} if the input system generates a zero-dimensional ideal).")) (|groebner| (((|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|))) "\\axiom{groebner(\\spad{lq1})} returns the lexicographical Groebner basis of \\axiom{\\spad{lq1}}. If \\axiom{\\spad{lq1}} generates a zero-dimensional ideal then the {\\em FGLM} strategy is used,{} otherwise the {\\em Sugar} strategy is used.")) (|fglmIfCan| (((|Union| (|List| (|Polynomial| |#1|)) "failed") (|List| (|Polynomial| |#1|))) "\\axiom{fglmIfCan(\\spad{lq1})} returns the lexicographical Groebner basis of \\axiom{\\spad{lq1}} by using the {\\em FGLM} strategy,{} if \\axiom{zeroDimensional?(\\spad{lq1})} holds.")) (|zeroDimensional?| (((|Boolean|) (|List| (|Polynomial| |#1|))) "\\axiom{zeroDimensional?(\\spad{lq1})} returns \\spad{true} iff \\axiom{\\spad{lq1}} generates a zero-dimensional ideal \\spad{w}.\\spad{r}.\\spad{t}. the variables of \\axiom{\\spad{ls}}."))) NIL @@ -1466,7 +1466,7 @@ NIL NIL (-384) ((|constructor| (NIL "\\spadtype{Float} implements arbitrary precision floating point arithmetic. The number of significant digits of each operation can be set to an arbitrary value (the default is 20 decimal digits). The operation \\spad{float(mantissa,exponent,\\spadfunFrom{base}{FloatingPointSystem})} for integer \\spad{mantissa},{} \\spad{exponent} specifies the number \\spad{mantissa * \\spadfunFrom{base}{FloatingPointSystem} ** exponent} The underlying representation for floats is binary not decimal. The implications of this are described below. \\blankline The model adopted is that arithmetic operations are rounded to to nearest unit in the last place,{} that is,{} accurate to within \\spad{2**(-\\spadfunFrom{bits}{FloatingPointSystem})}. Also,{} the elementary functions and constants are accurate to one unit in the last place. A float is represented as a record of two integers,{} the mantissa and the exponent. The \\spadfunFrom{base}{FloatingPointSystem} of the representation is binary,{} hence a \\spad{Record(m:mantissa,e:exponent)} represents the number \\spad{m * 2 ** e}. Though it is not assumed that the underlying integers are represented with a binary \\spadfunFrom{base}{FloatingPointSystem},{} the code will be most efficient when this is the the case (this is \\spad{true} in most implementations of Lisp). The decision to choose the \\spadfunFrom{base}{FloatingPointSystem} to be binary has some unfortunate consequences. First,{} decimal numbers like 0.3 cannot be represented exactly. Second,{} there is a further loss of accuracy during conversion to decimal for output. To compensate for this,{} if \\spad{d} digits of precision are specified,{} \\spad{1 + ceiling(log2 d)} bits are used. Two numbers that are displayed identically may therefore be not equal. On the other hand,{} a significant efficiency loss would be incurred if we chose to use a decimal \\spadfunFrom{base}{FloatingPointSystem} when the underlying integer base is binary. \\blankline Algorithms used: For the elementary functions,{} the general approach is to apply identities so that the taylor series can be used,{} and,{} so that it will converge within \\spad{O( sqrt n )} steps. For example,{} using the identity \\spad{exp(x) = exp(x/2)**2},{} we can compute \\spad{exp(1/3)} to \\spad{n} digits of precision as follows. We have \\spad{exp(1/3) = exp(2 ** (-sqrt s) / 3) ** (2 ** sqrt s)}. The taylor series will converge in less than sqrt \\spad{n} steps and the exponentiation requires sqrt \\spad{n} multiplications for a total of \\spad{2 sqrt n} multiplications. Assuming integer multiplication costs \\spad{O( n**2 )} the overall running time is \\spad{O( sqrt(n) n**2 )}. This approach is the best known approach for precisions up to about 10,{}000 digits at which point the methods of Brent which are \\spad{O( log(n) n**2 )} become competitive. Note also that summing the terms of the taylor series for the elementary functions is done using integer operations. This avoids the overhead of floating point operations and results in efficient code at low precisions. This implementation makes no attempt to reuse storage,{} relying on the underlying system to do \\spadgloss{garbage collection}. \\spad{I} estimate that the efficiency of this package at low precisions could be improved by a factor of 2 if in-place operations were available. \\blankline Running times: in the following,{} \\spad{n} is the number of bits of precision \\indented{5}{\\spad{*},{} \\spad{/},{} \\spad{sqrt},{} \\spad{pi},{} \\spad{exp1},{} \\spad{log2},{} \\spad{log10}: \\spad{ O( n**2 )}} \\indented{5}{\\spad{exp},{} \\spad{log},{} \\spad{sin},{} \\spad{atan}:\\space{2}\\spad{ O( sqrt(n) n**2 )}} The other elementary functions are coded in terms of the ones above.")) (|outputSpacing| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputSpacing(n)} inserts a space after \\spad{n} (default 10) digits on output; outputSpacing(0) means no spaces are inserted.")) (|outputGeneral| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputGeneral(n)} sets the output mode to general notation with \\spad{n} significant digits displayed.") (((|Void|)) "\\spad{outputGeneral()} sets the output mode (default mode) to general notation; numbers will be displayed in either fixed or floating (scientific) notation depending on the magnitude.")) (|outputFixed| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputFixed(n)} sets the output mode to fixed point notation,{} with \\spad{n} digits displayed after the decimal point.") (((|Void|)) "\\spad{outputFixed()} sets the output mode to fixed point notation; the output will contain a decimal point.")) (|outputFloating| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputFloating(n)} sets the output mode to floating (scientific) notation with \\spad{n} significant digits displayed after the decimal point.") (((|Void|)) "\\spad{outputFloating()} sets the output mode to floating (scientific) notation,{} \\spadignore{i.e.} \\spad{mantissa * 10 exponent} is displayed as \\spad{0.mantissa E exponent}.")) (|atan| (($ $ $) "\\spad{atan(x,y)} computes the arc tangent from \\spad{x} with phase \\spad{y}.")) (|exp1| (($) "\\spad{exp1()} returns exp 1: \\spad{2.7182818284...}.")) (|log10| (($ $) "\\spad{log10(x)} computes the logarithm for \\spad{x} to base 10.") (($) "\\spad{log10()} returns \\spad{ln 10}: \\spad{2.3025809299...}.")) (|log2| (($ $) "\\spad{log2(x)} computes the logarithm for \\spad{x} to base 2.") (($) "\\spad{log2()} returns \\spad{ln 2},{} \\spadignore{i.e.} \\spad{0.6931471805...}.")) (|rationalApproximation| (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n, b)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< b**(-n)},{} that is \\spad{|(r-f)/f| < b**(-n)}.") (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< 10**(-n)}.")) (|shift| (($ $ (|Integer|)) "\\spad{shift(x,n)} adds \\spad{n} to the exponent of float \\spad{x}.")) (|relerror| (((|Integer|) $ $) "\\spad{relerror(x,y)} computes the absolute value of \\spad{x - y} divided by \\spad{y},{} when \\spad{y \\~= 0}.")) (|normalize| (($ $) "\\spad{normalize(x)} normalizes \\spad{x} at current precision.")) (** (($ $ $) "\\spad{x ** y} computes \\spad{exp(y log x)} where \\spad{x >= 0}.")) (/ (($ $ (|Integer|)) "\\spad{x / i} computes the division from \\spad{x} by an integer \\spad{i}."))) -((-4435 . T) (-4443 . T) (-3170 . T) (-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) +((-4435 . T) (-4443 . T) (-3167 . T) (-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) NIL (-385 |Par|) ((|constructor| (NIL "\\indented{3}{This is a package for the approximation of real solutions for} systems of polynomial equations over the rational numbers. The results are expressed as either rational numbers or floats depending on the type of the precision parameter which can be either a rational number or a floating point number.")) (|realRoots| (((|List| |#1|) (|Fraction| (|Polynomial| (|Integer|))) |#1|) "\\spad{realRoots(rf, eps)} finds the real zeros of a univariate rational function with precision given by eps.") (((|List| (|List| |#1|)) (|List| (|Fraction| (|Polynomial| (|Integer|)))) (|List| (|Symbol|)) |#1|) "\\spad{realRoots(lp,lv,eps)} computes the list of the real solutions of the list \\spad{lp} of rational functions with rational coefficients with respect to the variables in \\spad{lv},{} with precision \\spad{eps}. Each solution is expressed as a list of numbers in order corresponding to the variables in \\spad{lv}.")) (|solve| (((|List| (|Equation| (|Polynomial| |#1|))) (|Equation| (|Fraction| (|Polynomial| (|Integer|)))) |#1|) "\\spad{solve(eq,eps)} finds all of the real solutions of the univariate equation \\spad{eq} of rational functions with respect to the unique variables appearing in \\spad{eq},{} with precision \\spad{eps}.") (((|List| (|Equation| (|Polynomial| |#1|))) (|Fraction| (|Polynomial| (|Integer|))) |#1|) "\\spad{solve(p,eps)} finds all of the real solutions of the univariate rational function \\spad{p} with rational coefficients with respect to the unique variable appearing in \\spad{p},{} with precision \\spad{eps}.") (((|List| (|List| (|Equation| (|Polynomial| |#1|)))) (|List| (|Equation| (|Fraction| (|Polynomial| (|Integer|))))) |#1|) "\\spad{solve(leq,eps)} finds all of the real solutions of the system \\spad{leq} of equationas of rational functions with respect to all the variables appearing in \\spad{lp},{} with precision \\spad{eps}.") (((|List| (|List| (|Equation| (|Polynomial| |#1|)))) (|List| (|Fraction| (|Polynomial| (|Integer|)))) |#1|) "\\spad{solve(lp,eps)} finds all of the real solutions of the system \\spad{lp} of rational functions over the rational numbers with respect to all the variables appearing in \\spad{lp},{} with precision \\spad{eps}."))) @@ -1544,7 +1544,7 @@ NIL ((|constructor| (NIL "provides an interface to the boot code for calling Fortran")) (|setLegalFortranSourceExtensions| (((|List| (|String|)) (|List| (|String|))) "\\spad{setLegalFortranSourceExtensions(l)} \\undocumented{}")) (|outputAsFortran| (((|Void|) (|FileName|)) "\\spad{outputAsFortran(fn)} \\undocumented{}")) (|linkToFortran| (((|SExpression|) (|Symbol|) (|List| (|Symbol|)) (|TheSymbolTable|) (|List| (|Symbol|))) "\\spad{linkToFortran(s,l,t,lv)} \\undocumented{}") (((|SExpression|) (|Symbol|) (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|)))) (|List| (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|))))) (|List| (|Symbol|)) (|Symbol|)) "\\spad{linkToFortran(s,l,ll,lv,t)} \\undocumented{}") (((|SExpression|) (|Symbol|) (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|)))) (|List| (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|))))) (|List| (|Symbol|))) "\\spad{linkToFortran(s,l,ll,lv)} \\undocumented{}"))) NIL NIL -(-404 -3602 |returnType| -3931 |symbols|) +(-404 -3599 |returnType| -3931 |symbols|) ((|constructor| (NIL "\\axiomType{FortranProgram} allows the user to build and manipulate simple models of FORTRAN subprograms. These can then be transformed into actual FORTRAN notation.")) (|coerce| (($ (|Equation| (|Expression| (|Complex| (|Float|))))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|Float|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|Integer|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Expression| (|Complex| (|Float|)))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|Float|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|Integer|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineComplex|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineFloat|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineInteger|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Expression| (|MachineComplex|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|MachineFloat|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|MachineInteger|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) "\\spad{coerce(r)} \\undocumented{}") (($ (|List| (|FortranCode|))) "\\spad{coerce(lfc)} \\undocumented{}") (($ (|FortranCode|)) "\\spad{coerce(fc)} \\undocumented{}"))) NIL NIL @@ -1570,7 +1570,7 @@ NIL ((|HasAttribute| |#1| (QUOTE -4435)) (|HasAttribute| |#1| (QUOTE -4443))) (-410) ((|constructor| (NIL "This category is intended as a model for floating point systems. A floating point system is a model for the real numbers. In fact,{} it is an approximation in the sense that not all real numbers are exactly representable by floating point numbers. A floating point system is characterized by the following: \\blankline \\indented{2}{1: \\spadfunFrom{base}{FloatingPointSystem} of the \\spadfunFrom{exponent}{FloatingPointSystem}.} \\indented{9}{(actual implemenations are usually binary or decimal)} \\indented{2}{2: \\spadfunFrom{precision}{FloatingPointSystem} of the \\spadfunFrom{mantissa}{FloatingPointSystem} (arbitrary or fixed)} \\indented{2}{3: rounding error for operations} \\blankline Because a Float is an approximation to the real numbers,{} even though it is defined to be a join of a Field and OrderedRing,{} some of the attributes do not hold. In particular associative(\\spad{\"+\"}) does not hold. Algorithms defined over a field need special considerations when the field is a floating point system.")) (|max| (($) "\\spad{max()} returns the maximum floating point number.")) (|min| (($) "\\spad{min()} returns the minimum floating point number.")) (|decreasePrecision| (((|PositiveInteger|) (|Integer|)) "\\spad{decreasePrecision(n)} decreases the current \\spadfunFrom{precision}{FloatingPointSystem} precision by \\spad{n} decimal digits.")) (|increasePrecision| (((|PositiveInteger|) (|Integer|)) "\\spad{increasePrecision(n)} increases the current \\spadfunFrom{precision}{FloatingPointSystem} by \\spad{n} decimal digits.")) (|precision| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{precision(n)} set the precision in the base to \\spad{n} decimal digits.") (((|PositiveInteger|)) "\\spad{precision()} returns the precision in digits base.")) (|digits| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{digits(d)} set the \\spadfunFrom{precision}{FloatingPointSystem} to \\spad{d} digits.") (((|PositiveInteger|)) "\\spad{digits()} returns ceiling\\spad{'s} precision in decimal digits.")) (|bits| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{bits(n)} set the \\spadfunFrom{precision}{FloatingPointSystem} to \\spad{n} bits.") (((|PositiveInteger|)) "\\spad{bits()} returns ceiling\\spad{'s} precision in bits.")) (|mantissa| (((|Integer|) $) "\\spad{mantissa(x)} returns the mantissa part of \\spad{x}.")) (|exponent| (((|Integer|) $) "\\spad{exponent(x)} returns the \\spadfunFrom{exponent}{FloatingPointSystem} part of \\spad{x}.")) (|base| (((|PositiveInteger|)) "\\spad{base()} returns the base of the \\spadfunFrom{exponent}{FloatingPointSystem}.")) (|order| (((|Integer|) $) "\\spad{order x} is the order of magnitude of \\spad{x}. Note: \\spad{base ** order x <= |x| < base ** (1 + order x)}.")) (|float| (($ (|Integer|) (|Integer|) (|PositiveInteger|)) "\\spad{float(a,e,b)} returns \\spad{a * b ** e}.") (($ (|Integer|) (|Integer|)) "\\spad{float(a,e)} returns \\spad{a * base() ** e}.")) (|approximate| ((|attribute|) "\\spad{approximate} means \"is an approximation to the real numbers\"."))) -((-3170 . T) (-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) +((-3167 . T) (-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) NIL (-411 R S) ((|constructor| (NIL "\\spadtype{FactoredFunctions2} contains functions that involve factored objects whose underlying domains may not be the same. For example,{} \\spadfun{map} might be used to coerce an object of type \\spadtype{Factored(Integer)} to \\spadtype{Factored(Complex(Integer))}.")) (|map| (((|Factored| |#2|) (|Mapping| |#2| |#1|) (|Factored| |#1|)) "\\spad{map(fn,u)} is used to apply the function \\userfun{\\spad{fn}} to every factor of \\spadvar{\\spad{u}}. The new factored object will have all its information flags set to \"nil\". This function is used,{} for example,{} to coerce every factor base to another type."))) @@ -1583,7 +1583,7 @@ NIL (-413 S) ((|constructor| (NIL "Fraction takes an IntegralDomain \\spad{S} and produces the domain of Fractions with numerators and denominators from \\spad{S}. If \\spad{S} is also a GcdDomain,{} then \\spad{gcd}\\spad{'s} between numerator and denominator will be cancelled during all operations.")) (|canonical| ((|attribute|) "\\spad{canonical} means that equal elements are in fact identical."))) ((-4439 -12 (|has| |#1| (-6 -4450)) (|has| |#1| (-458)) (|has| |#1| (-6 -4439))) (-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| |#1| (QUOTE (-916))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-1186)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-834)))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542))))) (|HasCategory| |#1| (QUOTE (-1031))) (|HasCategory| |#1| (QUOTE (-826))) (-2895 (|HasCategory| |#1| (QUOTE (-826))) (|HasCategory| |#1| (QUOTE (-856)))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-834)))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-1161))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-384)))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-834)))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (-2895 (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (-12 (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-834))))) (-2895 (|HasCategory| |#1| (LIST (QUOTE -645) (QUOTE (-570)))) (-12 (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-834))))) (|HasCategory| |#1| (QUOTE (-235))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#1| (LIST (QUOTE -520) (QUOTE (-1186)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -290) (|devaluate| |#1|) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-834)))) (|HasCategory| |#1| (QUOTE (-311))) (|HasCategory| |#1| (QUOTE (-551))) (-12 (|HasAttribute| |#1| (QUOTE -4450)) (|HasAttribute| |#1| (QUOTE -4439)) (|HasCategory| |#1| (QUOTE (-458)))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -645) (QUOTE (-570)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (-2895 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-916))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-1186)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-834)))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542))))) (|HasCategory| |#1| (QUOTE (-1031))) (|HasCategory| |#1| (QUOTE (-826))) (-2892 (|HasCategory| |#1| (QUOTE (-826))) (|HasCategory| |#1| (QUOTE (-856)))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-834)))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-1161))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-384)))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-834)))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (-2892 (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (-12 (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-834))))) (-2892 (|HasCategory| |#1| (LIST (QUOTE -645) (QUOTE (-570)))) (-12 (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-834))))) (|HasCategory| |#1| (QUOTE (-235))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#1| (LIST (QUOTE -520) (QUOTE (-1186)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -290) (|devaluate| |#1|) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-834)))) (|HasCategory| |#1| (QUOTE (-311))) (|HasCategory| |#1| (QUOTE (-551))) (-12 (|HasAttribute| |#1| (QUOTE -4450)) (|HasAttribute| |#1| (QUOTE -4439)) (|HasCategory| |#1| (QUOTE (-458)))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -645) (QUOTE (-570)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-146))))) (-414 S R UP) ((|constructor| (NIL "A \\spadtype{FramedAlgebra} is a \\spadtype{FiniteRankAlgebra} together with a fixed \\spad{R}-module basis.")) (|regularRepresentation| (((|Matrix| |#2|) $) "\\spad{regularRepresentation(a)} returns the matrix of the linear map defined by left multiplication by \\spad{a} with respect to the fixed basis.")) (|discriminant| ((|#2|) "\\spad{discriminant()} = determinant(traceMatrix()).")) (|traceMatrix| (((|Matrix| |#2|)) "\\spad{traceMatrix()} is the \\spad{n}-by-\\spad{n} matrix ( \\spad{Tr(vi * vj)} ),{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.")) (|convert| (($ (|Vector| |#2|)) "\\spad{convert([a1,..,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.") (((|Vector| |#2|) $) "\\spad{convert(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|represents| (($ (|Vector| |#2|)) "\\spad{represents([a1,..,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#2|) (|Vector| $)) "\\spad{coordinates([v1,...,vm])} returns the coordinates of the \\spad{vi}\\spad{'s} with to the fixed basis. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#2|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|basis| (((|Vector| $)) "\\spad{basis()} returns the fixed \\spad{R}-module basis."))) NIL @@ -1627,7 +1627,7 @@ NIL (-424 R) ((|constructor| (NIL "\\spadtype{Factored} creates a domain whose objects are kept in factored form as long as possible. Thus certain operations like multiplication and \\spad{gcd} are relatively easy to do. Others,{} like addition require somewhat more work,{} and unless the argument domain provides a factor function,{} the result may not be completely factored. Each object consists of a unit and a list of factors,{} where a factor has a member of \\spad{R} (the \"base\"),{} and exponent and a flag indicating what is known about the base. A flag may be one of \"nil\",{} \"sqfr\",{} \"irred\" or \"prime\",{} which respectively mean that nothing is known about the base,{} it is square-free,{} it is irreducible,{} or it is prime. The current restriction to integral domains allows simplification to be performed without worrying about multiplication order.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(u)} returns a rational number if \\spad{u} really is one,{} and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(u)} assumes spadvar{\\spad{u}} is actually a rational number and does the conversion to rational number (see \\spadtype{Fraction Integer}).")) (|rational?| (((|Boolean|) $) "\\spad{rational?(u)} tests if \\spadvar{\\spad{u}} is actually a rational number (see \\spadtype{Fraction Integer}).")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(fn,u)} maps the function \\userfun{\\spad{fn}} across the factors of \\spadvar{\\spad{u}} and creates a new factored object. Note: this clears the information flags (sets them to \"nil\") because the effect of \\userfun{\\spad{fn}} is clearly not known in general.")) (|unitNormalize| (($ $) "\\spad{unitNormalize(u)} normalizes the unit part of the factorization. For example,{} when working with factored integers,{} this operation will ensure that the bases are all positive integers.")) (|unit| ((|#1| $) "\\spad{unit(u)} extracts the unit part of the factorization.")) (|flagFactor| (($ |#1| (|Integer|) (|Union| "nil" "sqfr" "irred" "prime")) "\\spad{flagFactor(base,exponent,flag)} creates a factored object with a single factor whose \\spad{base} is asserted to be properly described by the information \\spad{flag}.")) (|sqfrFactor| (($ |#1| (|Integer|)) "\\spad{sqfrFactor(base,exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be square-free (flag = \"sqfr\").")) (|primeFactor| (($ |#1| (|Integer|)) "\\spad{primeFactor(base,exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be prime (flag = \"prime\").")) (|numberOfFactors| (((|NonNegativeInteger|) $) "\\spad{numberOfFactors(u)} returns the number of factors in \\spadvar{\\spad{u}}.")) (|nthFlag| (((|Union| "nil" "sqfr" "irred" "prime") $ (|Integer|)) "\\spad{nthFlag(u,n)} returns the information flag of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} \"nil\" is returned.")) (|nthFactor| ((|#1| $ (|Integer|)) "\\spad{nthFactor(u,n)} returns the base of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} 1 is returned. If \\spadvar{\\spad{u}} consists only of a unit,{} the unit is returned.")) (|nthExponent| (((|Integer|) $ (|Integer|)) "\\spad{nthExponent(u,n)} returns the exponent of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} 0 is returned.")) (|irreducibleFactor| (($ |#1| (|Integer|)) "\\spad{irreducibleFactor(base,exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be irreducible (flag = \"irred\").")) (|factors| (((|List| (|Record| (|:| |factor| |#1|) (|:| |exponent| (|Integer|)))) $) "\\spad{factors(u)} returns a list of the factors in a form suitable for iteration. That is,{} it returns a list where each element is a record containing a base and exponent. The original object is the product of all the factors and the unit (which can be extracted by \\axiom{unit(\\spad{u})}).")) (|nilFactor| (($ |#1| (|Integer|)) "\\spad{nilFactor(base,exponent)} creates a factored object with a single factor with no information about the kind of \\spad{base} (flag = \"nil\").")) (|factorList| (((|List| (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#1|) (|:| |xpnt| (|Integer|)))) $) "\\spad{factorList(u)} returns the list of factors with flags (for use by factoring code).")) (|makeFR| (($ |#1| (|List| (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#1|) (|:| |xpnt| (|Integer|))))) "\\spad{makeFR(unit,listOfFactors)} creates a factored object (for use by factoring code).")) (|exponent| (((|Integer|) $) "\\spad{exponent(u)} returns the exponent of the first factor of \\spadvar{\\spad{u}},{} or 0 if the factored form consists solely of a unit.")) (|expand| ((|#1| $) "\\spad{expand(f)} multiplies the unit and factors together,{} yielding an \"unfactored\" object. Note: this is purposely not called \\spadfun{coerce} which would cause the interpreter to do this automatically."))) ((-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| |#1| (LIST (QUOTE -520) (QUOTE (-1186)) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -313) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -290) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-1231))) (-2895 (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-1231)))) (|HasCategory| |#1| (QUOTE (-1031))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (LIST (QUOTE -520) (QUOTE (-1186)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -290) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-235))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-458)))) +((|HasCategory| |#1| (LIST (QUOTE -520) (QUOTE (-1186)) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -313) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -290) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-1231))) (-2892 (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-1231)))) (|HasCategory| |#1| (QUOTE (-1031))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (LIST (QUOTE -520) (QUOTE (-1186)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -290) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-235))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#1| (QUOTE (-551))) (|HasCategory| |#1| (QUOTE (-458)))) (-425 R) ((|constructor| (NIL "\\spadtype{FactoredFunctionUtilities} implements some utility functions for manipulating factored objects.")) (|mergeFactors| (((|Factored| |#1|) (|Factored| |#1|) (|Factored| |#1|)) "\\spad{mergeFactors(u,v)} is used when the factorizations of \\spadvar{\\spad{u}} and \\spadvar{\\spad{v}} are known to be disjoint,{} \\spadignore{e.g.} resulting from a content/primitive part split. Essentially,{} it creates a new factored object by multiplying the units together and appending the lists of factors.")) (|refine| (((|Factored| |#1|) (|Factored| |#1|) (|Mapping| (|Factored| |#1|) |#1|)) "\\spad{refine(u,fn)} is used to apply the function \\userfun{\\spad{fn}} to each factor of \\spadvar{\\spad{u}} and then build a new factored object from the results. For example,{} if \\spadvar{\\spad{u}} were created by calling \\spad{nilFactor(10,2)} then \\spad{refine(u,factor)} would create a factored object equal to that created by \\spad{factor(100)} or \\spad{primeFactor(2,2) * primeFactor(5,2)}."))) NIL @@ -1674,7 +1674,7 @@ NIL ((|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#2| (QUOTE (-562))) (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-1058))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-479))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -620) (QUOTE (-542))))) (-436 R) ((|constructor| (NIL "A space of formal functions with arguments in an arbitrary ordered set.")) (|univariate| (((|Fraction| (|SparseUnivariatePolynomial| $)) $ (|Kernel| $)) "\\spad{univariate(f, k)} returns \\spad{f} viewed as a univariate fraction in \\spad{k}.")) (/ (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $)) (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{p1/p2} returns the quotient of \\spad{p1} and \\spad{p2} as an element of \\%.")) (|denominator| (($ $) "\\spad{denominator(f)} returns the denominator of \\spad{f} converted to \\%.")) (|denom| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{denom(f)} returns the denominator of \\spad{f} viewed as a polynomial in the kernels over \\spad{R}.")) (|convert| (($ (|Factored| $)) "\\spad{convert(f1\\^e1 ... fm\\^em)} returns \\spad{(f1)\\^e1 ... (fm)\\^em} as an element of \\%,{} using formal kernels created using a \\spadfunFrom{paren}{ExpressionSpace}.")) (|isPower| (((|Union| (|Record| (|:| |val| $) (|:| |exponent| (|Integer|))) "failed") $) "\\spad{isPower(p)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0}.")) (|numerator| (($ $) "\\spad{numerator(f)} returns the numerator of \\spad{f} converted to \\%.")) (|numer| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{numer(f)} returns the numerator of \\spad{f} viewed as a polynomial in the kernels over \\spad{R} if \\spad{R} is an integral domain. If not,{} then numer(\\spad{f}) = \\spad{f} viewed as a polynomial in the kernels over \\spad{R}.")) (|coerce| (($ (|Fraction| (|Polynomial| (|Fraction| |#1|)))) "\\spad{coerce(f)} returns \\spad{f} as an element of \\%.") (($ (|Polynomial| (|Fraction| |#1|))) "\\spad{coerce(p)} returns \\spad{p} as an element of \\%.") (($ (|Fraction| |#1|)) "\\spad{coerce(q)} returns \\spad{q} as an element of \\%.") (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{coerce(p)} returns \\spad{p} as an element of \\%.")) (|isMult| (((|Union| (|Record| (|:| |coef| (|Integer|)) (|:| |var| (|Kernel| $))) "failed") $) "\\spad{isMult(p)} returns \\spad{[n, x]} if \\spad{p = n * x} and \\spad{n <> 0}.")) (|isPlus| (((|Union| (|List| $) "failed") $) "\\spad{isPlus(p)} returns \\spad{[m1,...,mn]} if \\spad{p = m1 +...+ mn} and \\spad{n > 1}.")) (|isExpt| (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $ (|Symbol|)) "\\spad{isExpt(p,f)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0} and \\spad{x = f(a)}.") (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $ (|BasicOperator|)) "\\spad{isExpt(p,op)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0} and \\spad{x = op(a)}.") (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $) "\\spad{isExpt(p)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0}.")) (|isTimes| (((|Union| (|List| $) "failed") $) "\\spad{isTimes(p)} returns \\spad{[a1,...,an]} if \\spad{p = a1*...*an} and \\spad{n > 1}.")) (** (($ $ (|NonNegativeInteger|)) "\\spad{x**n} returns \\spad{x} * \\spad{x} * \\spad{x} * ... * \\spad{x} (\\spad{n} times).")) (|eval| (($ $ (|Symbol|) (|NonNegativeInteger|) (|Mapping| $ $)) "\\spad{eval(x, s, n, f)} replaces every \\spad{s(a)**n} in \\spad{x} by \\spad{f(a)} for any \\spad{a}.") (($ $ (|Symbol|) (|NonNegativeInteger|) (|Mapping| $ (|List| $))) "\\spad{eval(x, s, n, f)} replaces every \\spad{s(a1,...,am)**n} in \\spad{x} by \\spad{f(a1,...,am)} for any a1,{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ (|List| $)))) "\\spad{eval(x, [s1,...,sm], [n1,...,nm], [f1,...,fm])} replaces every \\spad{si(a1,...,an)**ni} in \\spad{x} by \\spad{fi(a1,...,an)} for any a1,{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ $))) "\\spad{eval(x, [s1,...,sm], [n1,...,nm], [f1,...,fm])} replaces every \\spad{si(a)**ni} in \\spad{x} by \\spad{fi(a)} for any \\spad{a}.") (($ $ (|List| (|BasicOperator|)) (|List| $) (|Symbol|)) "\\spad{eval(x, [s1,...,sm], [f1,...,fm], y)} replaces every \\spad{si(a)} in \\spad{x} by \\spad{fi(y)} with \\spad{y} replaced by \\spad{a} for any \\spad{a}.") (($ $ (|BasicOperator|) $ (|Symbol|)) "\\spad{eval(x, s, f, y)} replaces every \\spad{s(a)} in \\spad{x} by \\spad{f(y)} with \\spad{y} replaced by \\spad{a} for any \\spad{a}.") (($ $) "\\spad{eval(f)} unquotes all the quoted operators in \\spad{f}.") (($ $ (|List| (|Symbol|))) "\\spad{eval(f, [foo1,...,foon])} unquotes all the \\spad{fooi}\\spad{'s} in \\spad{f}.") (($ $ (|Symbol|)) "\\spad{eval(f, foo)} unquotes all the foo\\spad{'s} in \\spad{f}.")) (|applyQuote| (($ (|Symbol|) (|List| $)) "\\spad{applyQuote(foo, [x1,...,xn])} returns \\spad{'foo(x1,...,xn)}.") (($ (|Symbol|) $ $ $ $) "\\spad{applyQuote(foo, x, y, z, t)} returns \\spad{'foo(x,y,z,t)}.") (($ (|Symbol|) $ $ $) "\\spad{applyQuote(foo, x, y, z)} returns \\spad{'foo(x,y,z)}.") (($ (|Symbol|) $ $) "\\spad{applyQuote(foo, x, y)} returns \\spad{'foo(x,y)}.") (($ (|Symbol|) $) "\\spad{applyQuote(foo, x)} returns \\spad{'foo(x)}.")) (|variables| (((|List| (|Symbol|)) $) "\\spad{variables(f)} returns the list of all the variables of \\spad{f}.")) (|ground| ((|#1| $) "\\spad{ground(f)} returns \\spad{f} as an element of \\spad{R}. An error occurs if \\spad{f} is not an element of \\spad{R}.")) (|ground?| (((|Boolean|) $) "\\spad{ground?(f)} tests if \\spad{f} is an element of \\spad{R}."))) -((-4449 -2895 (|has| |#1| (-1058)) (|has| |#1| (-479))) (-4447 |has| |#1| (-174)) (-4446 |has| |#1| (-174)) ((-4454 "*") |has| |#1| (-562)) (-4445 |has| |#1| (-562)) (-4450 |has| |#1| (-562)) (-4444 |has| |#1| (-562))) +((-4449 -2892 (|has| |#1| (-1058)) (|has| |#1| (-479))) (-4447 |has| |#1| (-174)) (-4446 |has| |#1| (-174)) ((-4454 "*") |has| |#1| (-562)) (-4445 |has| |#1| (-562)) (-4450 |has| |#1| (-562)) (-4444 |has| |#1| (-562))) NIL (-437 R -1709) ((|constructor| (NIL "Provides some special functions over an integral domain.")) (|iiabs| ((|#2| |#2|) "\\spad{iiabs(x)} should be local but conditional.")) (|iiGamma| ((|#2| |#2|) "\\spad{iiGamma(x)} should be local but conditional.")) (|airyBi| ((|#2| |#2|) "\\spad{airyBi(x)} returns the airybi function applied to \\spad{x}")) (|airyAi| ((|#2| |#2|) "\\spad{airyAi(x)} returns the airyai function applied to \\spad{x}")) (|besselK| ((|#2| |#2| |#2|) "\\spad{besselK(x,y)} returns the besselk function applied to \\spad{x} and \\spad{y}")) (|besselI| ((|#2| |#2| |#2|) "\\spad{besselI(x,y)} returns the besseli function applied to \\spad{x} and \\spad{y}")) (|besselY| ((|#2| |#2| |#2|) "\\spad{besselY(x,y)} returns the bessely function applied to \\spad{x} and \\spad{y}")) (|besselJ| ((|#2| |#2| |#2|) "\\spad{besselJ(x,y)} returns the besselj function applied to \\spad{x} and \\spad{y}")) (|polygamma| ((|#2| |#2| |#2|) "\\spad{polygamma(x,y)} returns the polygamma function applied to \\spad{x} and \\spad{y}")) (|digamma| ((|#2| |#2|) "\\spad{digamma(x)} returns the digamma function applied to \\spad{x}")) (|Beta| ((|#2| |#2| |#2|) "\\spad{Beta(x,y)} returns the beta function applied to \\spad{x} and \\spad{y}")) (|Gamma| ((|#2| |#2| |#2|) "\\spad{Gamma(a,x)} returns the incomplete Gamma function applied to a and \\spad{x}") ((|#2| |#2|) "\\spad{Gamma(f)} returns the formal Gamma function applied to \\spad{f}")) (|abs| ((|#2| |#2|) "\\spad{abs(f)} returns the absolute value operator applied to \\spad{f}")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\spad{F}; error if \\spad{op} is not a special function operator")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} is \\spad{true} if \\spad{op} is a special function operator."))) @@ -1771,7 +1771,7 @@ NIL (-460 |vl| R E) ((|constructor| (NIL "\\indented{2}{This type supports distributed multivariate polynomials} whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is specified by its third parameter. Suggested types which define term orderings include: \\spadtype{DirectProduct},{} \\spadtype{HomogeneousDirectProduct},{} \\spadtype{SplitHomogeneousDirectProduct} and finally \\spadtype{OrderedDirectProduct} which accepts an arbitrary user function to define a term ordering.")) (|reorder| (($ $ (|List| (|Integer|))) "\\spad{reorder(p, perm)} applies the permutation perm to the variables in a polynomial and returns the new correctly ordered polynomial"))) (((-4454 "*") |has| |#2| (-174)) (-4445 |has| |#2| (-562)) (-4450 |has| |#2| (-6 -4450)) (-4447 . T) (-4446 . T) (-4449 . T)) -((|HasCategory| |#2| (QUOTE (-916))) (-2895 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-458))) (|HasCategory| |#2| (QUOTE (-562))) (|HasCategory| |#2| (QUOTE (-916)))) (-2895 (|HasCategory| |#2| (QUOTE (-458))) (|HasCategory| |#2| (QUOTE (-562))) (|HasCategory| |#2| (QUOTE (-916)))) (-2895 (|HasCategory| |#2| (QUOTE (-458))) (|HasCategory| |#2| (QUOTE (-916)))) (|HasCategory| |#2| (QUOTE (-562))) (|HasCategory| |#2| (QUOTE (-174))) (-2895 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-562)))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| |#2| (LIST (QUOTE -893) (QUOTE (-384))))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| |#2| (LIST (QUOTE -893) (QUOTE (-570))))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| |#2| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384)))))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570)))))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#2| (LIST (QUOTE -620) (QUOTE (-542))))) (|HasCategory| |#2| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-570)))) (-2895 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasCategory| |#2| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (QUOTE (-368))) (|HasAttribute| |#2| (QUOTE -4450)) (|HasCategory| |#2| (QUOTE (-458))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-916)))) (-2895 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-916)))) (|HasCategory| |#2| (QUOTE (-146))))) +((|HasCategory| |#2| (QUOTE (-916))) (-2892 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-458))) (|HasCategory| |#2| (QUOTE (-562))) (|HasCategory| |#2| (QUOTE (-916)))) (-2892 (|HasCategory| |#2| (QUOTE (-458))) (|HasCategory| |#2| (QUOTE (-562))) (|HasCategory| |#2| (QUOTE (-916)))) (-2892 (|HasCategory| |#2| (QUOTE (-458))) (|HasCategory| |#2| (QUOTE (-916)))) (|HasCategory| |#2| (QUOTE (-562))) (|HasCategory| |#2| (QUOTE (-174))) (-2892 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-562)))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| |#2| (LIST (QUOTE -893) (QUOTE (-384))))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| |#2| (LIST (QUOTE -893) (QUOTE (-570))))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| |#2| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384)))))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570)))))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#2| (LIST (QUOTE -620) (QUOTE (-542))))) (|HasCategory| |#2| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-570)))) (-2892 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasCategory| |#2| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (QUOTE (-368))) (|HasAttribute| |#2| (QUOTE -4450)) (|HasCategory| |#2| (QUOTE (-458))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-916)))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-916)))) (|HasCategory| |#2| (QUOTE (-146))))) (-461 R BP) ((|constructor| (NIL "\\indented{1}{Author : \\spad{P}.Gianni.} January 1990 The equation \\spad{Af+Bg=h} and its generalization to \\spad{n} polynomials is solved for solutions over the \\spad{R},{} euclidean domain. A table containing the solutions of \\spad{Af+Bg=x**k} is used. The operations are performed modulus a prime which are in principle big enough,{} but the solutions are tested and,{} in case of failure,{} a hensel lifting process is used to get to the right solutions. It will be used in the factorization of multivariate polynomials over finite field,{} with \\spad{R=F[x]}.")) (|testModulus| (((|Boolean|) |#1| (|List| |#2|)) "\\spad{testModulus(p,lp)} returns \\spad{true} if the the prime \\spad{p} is valid for the list of polynomials \\spad{lp},{} \\spadignore{i.e.} preserves the degree and they remain relatively prime.")) (|solveid| (((|Union| (|List| |#2|) "failed") |#2| |#1| (|Vector| (|List| |#2|))) "\\spad{solveid(h,table)} computes the coefficients of the extended euclidean algorithm for a list of polynomials whose tablePow is \\spad{table} and with right side \\spad{h}.")) (|tablePow| (((|Union| (|Vector| (|List| |#2|)) "failed") (|NonNegativeInteger|) |#1| (|List| |#2|)) "\\spad{tablePow(maxdeg,prime,lpol)} constructs the table with the coefficients of the Extended Euclidean Algorithm for \\spad{lpol}. Here the right side is \\spad{x**k},{} for \\spad{k} less or equal to \\spad{maxdeg}. The operation returns \"failed\" when the elements are not coprime modulo \\spad{prime}.")) (|compBound| (((|NonNegativeInteger|) |#2| (|List| |#2|)) "\\spad{compBound(p,lp)} computes a bound for the coefficients of the solution polynomials. Given a polynomial right hand side \\spad{p},{} and a list \\spad{lp} of left hand side polynomials. Exported because it depends on the valuation.")) (|reduction| ((|#2| |#2| |#1|) "\\spad{reduction(p,prime)} reduces the polynomial \\spad{p} modulo \\spad{prime} of \\spad{R}. Note: this function is exported only because it\\spad{'s} conditional."))) NIL @@ -1851,11 +1851,11 @@ NIL (-480 |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."))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4450 |has| |#1| (-368)) (-4444 |has| |#1| (-368)) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-174))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|)))) (|HasCategory| (-413 (-570)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-368))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-2895 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasSignature| |#1| (LIST (QUOTE -3802) (LIST (|devaluate| |#1|) (QUOTE (-1186)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (-2895 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-966))) (|HasCategory| |#1| (QUOTE (-1212))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasSignature| |#1| (LIST (QUOTE -2023) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1186))))) (|HasSignature| |#1| (LIST (QUOTE -1755) (LIST (LIST (QUOTE -650) (QUOTE (-1186))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-174))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|)))) (|HasCategory| (-413 (-570)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-368))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-2892 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasSignature| |#1| (LIST (QUOTE -3802) (LIST (|devaluate| |#1|) (QUOTE (-1186)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (-2892 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-966))) (|HasCategory| |#1| (QUOTE (-1212))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasSignature| |#1| (LIST (QUOTE -3170) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1186))))) (|HasSignature| |#1| (LIST (QUOTE -1755) (LIST (LIST (QUOTE -650) (QUOTE (-1186))) (|devaluate| |#1|))))))) (-481 |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."))) ((-4453 . 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The only requirement for a list of polynomials to be a member of such a domain is the following: no polynomial is constant and two distinct polynomials have distinct main variables. Such a triangular set may not be auto-reduced or consistent. Triangular sets are stored as sorted lists \\spad{w}.\\spad{r}.\\spad{t}. the main variables of their members but they are displayed in reverse order.\\newline References : \\indented{1}{[1] \\spad{P}. AUBRY,{} \\spad{D}. LAZARD and \\spad{M}. MORENO MAZA \"On the Theories} \\indented{5}{of Triangular Sets\" Journal of Symbol. Comp. (to appear)}"))) ((-4453 . T) (-4452 . T)) @@ -1871,7 +1871,7 @@ NIL (-485 |Key| |Entry| |hashfn|) ((|constructor| (NIL "This domain provides access to the underlying Lisp hash tables. By varying the hashfn parameter,{} tables suited for different purposes can be obtained."))) ((-4452 . T) (-4453 . 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Hall as given in Serre\\spad{'s} book Lie Groups \\spad{--} Lie Algebras")) (|generate| (((|Vector| (|List| (|Integer|))) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{generate(numberOfGens, maximalWeight)} generates a vector of elements of the form [left,{}weight,{}right] which represents a \\spad{P}. Hall basis element for the free lie algebra on \\spad{numberOfGens} generators. We only generate those basis elements of weight less than or equal to maximalWeight")) (|inHallBasis?| (((|Boolean|) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{inHallBasis?(numberOfGens, leftCandidate, rightCandidate, left)} tests to see if a new element should be added to the \\spad{P}. Hall basis being constructed. The list \\spad{[leftCandidate,wt,rightCandidate]} is included in the basis if in the unique factorization of \\spad{rightCandidate},{} we have left factor leftOfRight,{} and leftOfRight \\spad{<=} \\spad{leftCandidate}")) (|lfunc| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{lfunc(d,n)} computes the rank of the \\spad{n}th factor in the lower central series of the free \\spad{d}-generated free Lie algebra; This rank is \\spad{d} if \\spad{n} = 1 and binom(\\spad{d},{}2) if \\spad{n} = 2"))) NIL @@ -1879,11 +1879,11 @@ NIL (-487 |vl| R) ((|constructor| (NIL "\\indented{2}{This type supports distributed multivariate polynomials} whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is total degree ordering refined by reverse lexicographic ordering with respect to the position that the variables appear in the list of variables parameter.")) 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|#2| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (QUOTE (-1109)))) (|HasAttribute| |#2| (QUOTE -4449)) (|HasCategory| |#2| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|))))) (-489) ((|constructor| (NIL "This domain represents the header of a definition.")) (|parameters| (((|List| (|ParameterAst|)) $) "\\spad{parameters(h)} gives the parameters specified in the definition header \\spad{`h'}.")) (|name| (((|Identifier|) $) "\\spad{name(h)} returns the name of the operation defined defined.")) (|headAst| (($ (|Identifier|) (|List| (|ParameterAst|))) "\\spad{headAst(f,[x1,..,xn])} constructs a function definition header."))) NIL @@ -1891,7 +1891,7 @@ NIL (-490 S) ((|constructor| (NIL "Heap implemented in a flexible array to allow for insertions")) (|heap| (($ (|List| |#1|)) "\\spad{heap(ls)} creates a heap of elements consisting of the elements of \\spad{ls}."))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (-491 -1709 UP UPUP R) ((|constructor| (NIL "This domains implements finite rational divisors on an hyperelliptic curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve. The equation of the curve must be \\spad{y^2} = \\spad{f}(\\spad{x}) and \\spad{f} must have odd degree."))) NIL @@ -1903,7 +1903,7 @@ NIL (-493) ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating hexadecimal expansions.")) (|hex| (($ (|Fraction| (|Integer|))) "\\spad{hex(r)} converts a rational number to a hexadecimal expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(h)} returns the fractional part of a hexadecimal expansion."))) ((-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| (-570) (QUOTE (-916))) (|HasCategory| (-570) (LIST (QUOTE -1047) (QUOTE (-1186)))) (|HasCategory| (-570) (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-148))) (|HasCategory| (-570) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-570) (QUOTE (-1031))) (|HasCategory| (-570) (QUOTE (-826))) (-2895 (|HasCategory| (-570) (QUOTE (-826))) (|HasCategory| (-570) (QUOTE (-856)))) (|HasCategory| (-570) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-570) (QUOTE (-1161))) (|HasCategory| (-570) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| (-570) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| (-570) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| (-570) (QUOTE (-235))) (|HasCategory| (-570) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-570) (LIST (QUOTE -520) (QUOTE (-1186)) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -313) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -290) (QUOTE (-570)) (QUOTE (-570)))) (|HasCategory| (-570) (QUOTE (-311))) (|HasCategory| (-570) (QUOTE (-551))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| (-570) (LIST (QUOTE -645) (QUOTE (-570)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-916)))) (-2895 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-916)))) (|HasCategory| (-570) (QUOTE (-146))))) +((|HasCategory| (-570) (QUOTE (-916))) (|HasCategory| (-570) (LIST (QUOTE -1047) (QUOTE (-1186)))) (|HasCategory| (-570) (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-148))) (|HasCategory| (-570) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-570) (QUOTE (-1031))) (|HasCategory| (-570) (QUOTE (-826))) (-2892 (|HasCategory| (-570) (QUOTE (-826))) (|HasCategory| (-570) (QUOTE (-856)))) (|HasCategory| (-570) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-570) (QUOTE (-1161))) (|HasCategory| (-570) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| (-570) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| (-570) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| (-570) (QUOTE (-235))) (|HasCategory| (-570) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-570) (LIST (QUOTE -520) (QUOTE (-1186)) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -313) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -290) (QUOTE (-570)) (QUOTE (-570)))) (|HasCategory| (-570) (QUOTE (-311))) (|HasCategory| (-570) (QUOTE (-551))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| (-570) (LIST (QUOTE -645) (QUOTE (-570)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-916)))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-916)))) (|HasCategory| (-570) (QUOTE (-146))))) (-494 A S) ((|constructor| (NIL "A homogeneous aggregate is an aggregate of elements all of the same type. In the current system,{} all aggregates are homogeneous. Two attributes characterize classes of aggregates. Aggregates from domains with attribute \\spadatt{finiteAggregate} have a finite number of members. Those with attribute \\spadatt{shallowlyMutable} allow an element to be modified or updated without changing its overall value.")) (|member?| (((|Boolean|) |#2| $) "\\spad{member?(x,u)} tests if \\spad{x} is a member of \\spad{u}. For collections,{} \\axiom{member?(\\spad{x},{}\\spad{u}) = reduce(or,{}[x=y for \\spad{y} in \\spad{u}],{}\\spad{false})}.")) (|members| (((|List| |#2|) $) "\\spad{members(u)} returns a list of the consecutive elements of \\spad{u}. For collections,{} \\axiom{parts([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = (\\spad{x},{}\\spad{y},{}...,{}\\spad{z})}.")) (|parts| (((|List| |#2|) $) "\\spad{parts(u)} returns a list of the consecutive elements of \\spad{u}. For collections,{} \\axiom{parts([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = (\\spad{x},{}\\spad{y},{}...,{}\\spad{z})}.")) (|count| (((|NonNegativeInteger|) |#2| $) "\\spad{count(x,u)} returns the number of occurrences of \\spad{x} in \\spad{u}. For collections,{} \\axiom{count(\\spad{x},{}\\spad{u}) = reduce(+,{}[x=y for \\spad{y} in \\spad{u}],{}0)}.") (((|NonNegativeInteger|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{count(p,u)} returns the number of elements \\spad{x} in \\spad{u} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}. For collections,{} \\axiom{count(\\spad{p},{}\\spad{u}) = reduce(+,{}[1 for \\spad{x} in \\spad{u} | \\spad{p}(\\spad{x})],{}0)}.")) (|every?| (((|Boolean|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{every?(f,u)} tests if \\spad{p}(\\spad{x}) is \\spad{true} for all elements \\spad{x} of \\spad{u}. Note: for collections,{} \\axiom{every?(\\spad{p},{}\\spad{u}) = reduce(and,{}map(\\spad{f},{}\\spad{u}),{}\\spad{true},{}\\spad{false})}.")) (|any?| (((|Boolean|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{any?(p,u)} tests if \\axiom{\\spad{p}(\\spad{x})} is \\spad{true} for any element \\spad{x} of \\spad{u}. Note: for collections,{} \\axiom{any?(\\spad{p},{}\\spad{u}) = reduce(or,{}map(\\spad{f},{}\\spad{u}),{}\\spad{false},{}\\spad{true})}.")) (|map!| (($ (|Mapping| |#2| |#2|) $) "\\spad{map!(f,u)} destructively replaces each element \\spad{x} of \\spad{u} by \\axiom{\\spad{f}(\\spad{x})}.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(f,u)} returns a copy of \\spad{u} with each element \\spad{x} replaced by \\spad{f}(\\spad{x}). For collections,{} \\axiom{map(\\spad{f},{}\\spad{u}) = [\\spad{f}(\\spad{x}) for \\spad{x} in \\spad{u}]}."))) NIL @@ -1939,11 +1939,11 @@ NIL (-502 S |mn|) ((|constructor| (NIL "\\indented{1}{Author Micheal Monagan Aug/87} This is the basic one dimensional array data type."))) ((-4453 . T) (-4452 . T)) -((-2895 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2895 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) +((-2892 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2892 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-503 R |mnRow| |mnCol|) ((|constructor| (NIL "\\indented{1}{An IndexedTwoDimensionalArray is a 2-dimensional array where} the minimal row and column indices are parameters of the type. Rows and columns are returned as IndexedOneDimensionalArray\\spad{'s} with minimal indices matching those of the IndexedTwoDimensionalArray. The index of the 'first' row may be obtained by calling the function 'minRowIndex'. The index of the 'first' column may be obtained by calling the function 'minColIndex'. The index of the first element of a 'Row' is the same as the index of the first column in an array and vice versa."))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (-504 K R UP) ((|constructor| (NIL "\\indented{1}{Author: Clifton Williamson} Date Created: 9 August 1993 Date Last Updated: 3 December 1993 Basic Operations: chineseRemainder,{} factorList Related Domains: PAdicWildFunctionFieldIntegralBasis(\\spad{K},{}\\spad{R},{}UP,{}\\spad{F}) Also See: WildFunctionFieldIntegralBasis,{} FunctionFieldIntegralBasis AMS Classifications: Keywords: function field,{} finite field,{} integral basis Examples: References: Description:")) (|chineseRemainder| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) (|List| |#3|) (|List| (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) (|NonNegativeInteger|)) "\\spad{chineseRemainder(lu,lr,n)} \\undocumented")) (|listConjugateBases| (((|List| (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{listConjugateBases(bas,q,n)} returns the list \\spad{[bas,bas^Frob,bas^(Frob^2),...bas^(Frob^(n-1))]},{} where \\spad{Frob} raises the coefficients of all polynomials appearing in the basis \\spad{bas} to the \\spad{q}th power.")) (|factorList| (((|List| (|SparseUnivariatePolynomial| |#1|)) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factorList(k,n,m,j)} \\undocumented"))) NIL @@ -2019,7 +2019,7 @@ NIL (-522 S |mn|) ((|constructor| (NIL "\\indented{1}{Author: Michael Monagan July/87,{} modified \\spad{SMW} June/91} A FlexibleArray is the notion of an array intended to allow for growth at the end only. Hence the following efficient operations \\indented{2}{\\spad{append(x,a)} meaning append item \\spad{x} at the end of the array \\spad{a}} \\indented{2}{\\spad{delete(a,n)} meaning delete the last item from the array \\spad{a}} Flexible arrays support the other operations inherited from \\spadtype{ExtensibleLinearAggregate}. However,{} these are not efficient. Flexible arrays combine the \\spad{O(1)} access time property of arrays with growing and shrinking at the end in \\spad{O(1)} (average) time. This is done by using an ordinary array which may have zero or more empty slots at the end. When the array becomes full it is copied into a new larger (50\\% larger) array. Conversely,{} when the array becomes less than 1/2 full,{} it is copied into a smaller array. Flexible arrays provide for an efficient implementation of many data structures in particular heaps,{} stacks and sets.")) (|shrinkable| (((|Boolean|) (|Boolean|)) "\\spad{shrinkable(b)} sets the shrinkable attribute of flexible arrays to \\spad{b} and returns the previous value")) (|physicalLength!| (($ $ (|Integer|)) "\\spad{physicalLength!(x,n)} changes the physical length of \\spad{x} to be \\spad{n} and returns the new array.")) (|physicalLength| (((|NonNegativeInteger|) $) "\\spad{physicalLength(x)} returns the number of elements \\spad{x} can accomodate before growing")) (|flexibleArray| (($ (|List| |#1|)) "\\spad{flexibleArray(l)} creates a flexible array from the list of elements \\spad{l}"))) ((-4453 . T) (-4452 . T)) -((-2895 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2895 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) +((-2892 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2892 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-523) ((|constructor| (NIL "This domain represents AST for conditional expressions.")) (|elseBranch| (((|SpadAst|) $) "thenBranch(\\spad{e}) returns the `else-branch' of `e'.")) (|thenBranch| (((|SpadAst|) $) "\\spad{thenBranch(e)} returns the `then-branch' of `e'.")) (|condition| (((|SpadAst|) $) "\\spad{condition(e)} returns the condition of the if-expression `e'."))) NIL @@ -2027,15 +2027,15 @@ NIL (-524 |p| |n|) ((|constructor| (NIL "InnerFiniteField(\\spad{p},{}\\spad{n}) implements finite fields with \\spad{p**n} elements where \\spad{p} is assumed prime but does not check. For a version which checks that \\spad{p} is prime,{} see \\spadtype{FiniteField}."))) ((-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((-2895 (|HasCategory| (-587 |#1|) (QUOTE (-146))) (|HasCategory| (-587 |#1|) (QUOTE (-373)))) (|HasCategory| (-587 |#1|) (QUOTE (-148))) (|HasCategory| (-587 |#1|) (QUOTE (-373))) (|HasCategory| (-587 |#1|) (QUOTE (-146)))) +((-2892 (|HasCategory| (-587 |#1|) (QUOTE (-146))) (|HasCategory| (-587 |#1|) (QUOTE (-373)))) (|HasCategory| (-587 |#1|) (QUOTE (-148))) (|HasCategory| (-587 |#1|) (QUOTE (-373))) (|HasCategory| (-587 |#1|) (QUOTE (-146)))) (-525 R |mnRow| |mnCol| |Row| |Col|) ((|constructor| (NIL "\\indented{1}{This is an internal type which provides an implementation of} 2-dimensional arrays as PrimitiveArray\\spad{'s} of PrimitiveArray\\spad{'s}."))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (-526 S |mn|) ((|constructor| (NIL "\\spadtype{IndexedList} is a basic implementation of the functions in \\spadtype{ListAggregate},{} often using functions in the underlying LISP system. The second parameter to the constructor (\\spad{mn}) is the beginning index of the list. That is,{} if \\spad{l} is a list,{} then \\spad{elt(l,mn)} is the first value. This constructor is probably best viewed as the implementation of singly-linked lists that are addressable by index rather than as a mere wrapper for LISP lists."))) ((-4453 . T) (-4452 . T)) -((-2895 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2895 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) +((-2892 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2892 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-527 R |Row| |Col| M) ((|constructor| (NIL "\\spadtype{InnerMatrixLinearAlgebraFunctions} is an internal package which provides standard linear algebra functions on domains in \\spad{MatrixCategory}")) (|inverse| (((|Union| |#4| "failed") |#4|) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|generalizedInverse| ((|#4| |#4|) "\\spad{generalizedInverse(m)} returns the generalized (Moore--Penrose) inverse of the matrix \\spad{m},{} \\spadignore{i.e.} the matrix \\spad{h} such that m*h*m=h,{} h*m*h=m,{} \\spad{m*h} and \\spad{h*m} are both symmetric matrices.")) (|determinant| ((|#1| |#4|) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}. an error message is returned if the matrix is not square.")) (|nullSpace| (((|List| |#3|) |#4|) "\\spad{nullSpace(m)} returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) |#4|) "\\spad{nullity(m)} returns the mullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) |#4|) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| ((|#4| |#4|) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}."))) NIL @@ -2047,7 +2047,7 @@ NIL (-529 R |mnRow| |mnCol|) ((|constructor| (NIL "An \\spad{IndexedMatrix} is a matrix where the minimal row and column indices are parameters of the type. The domains Row and Col are both IndexedVectors. The index of the 'first' row may be obtained by calling the function \\spadfun{minRowIndex}. The index of the 'first' column may be obtained by calling the function \\spadfun{minColIndex}. The index of the first element of a 'Row' is the same as the index of the first column in a matrix and vice versa."))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (QUOTE (-311))) (|HasCategory| |#1| (QUOTE (-562))) (|HasAttribute| |#1| (QUOTE (-4454 "*"))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (QUOTE (-311))) (|HasCategory| |#1| (QUOTE (-562))) (|HasAttribute| |#1| (QUOTE (-4454 "*"))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (-530) ((|constructor| (NIL "This domain represents an `import' of types.")) (|imports| (((|List| (|TypeAst|)) $) "\\spad{imports(x)} returns the list of imported types.")) (|coerce| (($ (|List| (|TypeAst|))) "ts::ImportAst constructs an ImportAst for the list if types `ts'."))) NIL @@ -2155,7 +2155,7 @@ NIL (-556 |Key| |Entry| |addDom|) ((|constructor| (NIL "This domain is used to provide a conditional \"add\" domain for the implementation of \\spadtype{Table}."))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2107) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2340) (|devaluate| |#2|)))))) (-2895 (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| |#2| (QUOTE (-1109)))) (-2895 (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -620) (QUOTE (-542)))) (-12 (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#2| (QUOTE (-1109))) (-2895 (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2106) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2340) (|devaluate| |#2|)))))) (-2892 (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| |#2| (QUOTE (-1109)))) (-2892 (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -620) (QUOTE (-542)))) (-12 (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#2| (QUOTE (-1109))) (-2892 (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868))))) (-557 R -1709) ((|constructor| (NIL "This package provides functions for the integration of algebraic integrands over transcendental functions.")) (|algint| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|SparseUnivariatePolynomial| |#2|) (|SparseUnivariatePolynomial| |#2|))) "\\spad{algint(f, x, y, d)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x}; \\spad{d} is the derivation to use on \\spad{k[x]}."))) NIL @@ -2170,7 +2170,7 @@ NIL NIL (-560 R) ((|constructor| (NIL "\\indented{1}{+ Author: Mike Dewar} + Date Created: November 1996 + Date Last Updated: + Basic Functions: + Related Constructors: + Also See: + AMS Classifications: + Keywords: + References: + Description: + This category implements of interval arithmetic and transcendental + functions over intervals.")) (|contains?| (((|Boolean|) $ |#1|) "\\spad{contains?(i,f)} returns \\spad{true} if \\axiom{\\spad{f}} is contained within the interval \\axiom{\\spad{i}},{} \\spad{false} otherwise.")) (|negative?| (((|Boolean|) $) "\\spad{negative?(u)} returns \\axiom{\\spad{true}} if every element of \\spad{u} is negative,{} \\axiom{\\spad{false}} otherwise.")) (|positive?| (((|Boolean|) $) "\\spad{positive?(u)} returns \\axiom{\\spad{true}} if every element of \\spad{u} is positive,{} \\axiom{\\spad{false}} otherwise.")) (|width| ((|#1| $) "\\spad{width(u)} returns \\axiom{sup(\\spad{u}) - inf(\\spad{u})}.")) (|sup| ((|#1| $) "\\spad{sup(u)} returns the supremum of \\axiom{\\spad{u}}.")) (|inf| ((|#1| $) "\\spad{inf(u)} returns the infinum of \\axiom{\\spad{u}}.")) (|qinterval| (($ |#1| |#1|) "\\spad{qinterval(inf,sup)} creates a new interval \\axiom{[\\spad{inf},{}\\spad{sup}]},{} without checking the ordering on the elements.")) (|interval| (($ (|Fraction| (|Integer|))) "\\spad{interval(f)} creates a new interval around \\spad{f}.") (($ |#1|) "\\spad{interval(f)} creates a new interval around \\spad{f}.") (($ |#1| |#1|) "\\spad{interval(inf,sup)} creates a new interval,{} either \\axiom{[\\spad{inf},{}\\spad{sup}]} if \\axiom{\\spad{inf} \\spad{<=} \\spad{sup}} or \\axiom{[\\spad{sup},{}in]} otherwise."))) -((-3170 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) +((-3167 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) NIL (-561 S) ((|constructor| (NIL "The category of commutative integral domains,{} \\spadignore{i.e.} commutative rings with no zero divisors. \\blankline Conditional attributes: \\indented{2}{canonicalUnitNormal\\tab{20}the canonical field is the same for all associates} \\indented{2}{canonicalsClosed\\tab{20}the product of two canonicals is itself canonical}")) (|unit?| (((|Boolean|) $) "\\spad{unit?(x)} tests whether \\spad{x} is a unit,{} \\spadignore{i.e.} is invertible.")) (|associates?| (((|Boolean|) $ $) "\\spad{associates?(x,y)} tests whether \\spad{x} and \\spad{y} are associates,{} \\spadignore{i.e.} differ by a unit factor.")) (|unitCanonical| (($ $) "\\spad{unitCanonical(x)} returns \\spad{unitNormal(x).canonical}.")) (|unitNormal| (((|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $)) $) "\\spad{unitNormal(x)} tries to choose a canonical element from the associate class of \\spad{x}. The attribute canonicalUnitNormal,{} if asserted,{} means that the \"canonical\" element is the same across all associates of \\spad{x} if \\spad{unitNormal(x) = [u,c,a]} then \\spad{u*c = x},{} \\spad{a*u = 1}.")) (|exquo| (((|Union| $ "failed") $ $) "\\spad{exquo(a,b)} either returns an element \\spad{c} such that \\spad{c*b=a} or \"failed\" if no such element can be found."))) @@ -2238,7 +2238,7 @@ NIL NIL (-577 R) ((|constructor| (NIL "\\indented{1}{+ Author: Mike Dewar} + Date Created: November 1996 + Date Last Updated: + Basic Functions: + Related Constructors: + Also See: + AMS Classifications: + Keywords: + References: + Description: + This domain is an implementation of interval arithmetic and transcendental + functions over intervals."))) -((-3170 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) +((-3167 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) NIL (-578) ((|constructor| (NIL "This package provides the implementation for the \\spadfun{solveLinearPolynomialEquation} operation over the integers. It uses a lifting technique from the package GenExEuclid")) (|solveLinearPolynomialEquation| (((|Union| (|List| (|SparseUnivariatePolynomial| (|Integer|))) "failed") (|List| (|SparseUnivariatePolynomial| (|Integer|))) (|SparseUnivariatePolynomial| (|Integer|))) "\\spad{solveLinearPolynomialEquation([f1, ..., fn], g)} (where the \\spad{fi} are relatively prime to each other) returns a list of \\spad{ai} such that \\spad{g/prod fi = sum ai/fi} or returns \"failed\" if no such list of \\spad{ai}\\spad{'s} exists."))) @@ -2327,7 +2327,7 @@ NIL (-599 |mn|) ((|constructor| (NIL "This domain implements low-level strings"))) ((-4453 . T) (-4452 . T)) -((-2895 (-12 (|HasCategory| (-145) (QUOTE (-856))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145)))))) (-2895 (|HasCategory| (-145) (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -620) (QUOTE (-542)))) (-2895 (|HasCategory| (-145) (QUOTE (-856))) (|HasCategory| (-145) (QUOTE (-1109)))) (|HasCategory| (-145) (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145)))))) +((-2892 (-12 (|HasCategory| (-145) (QUOTE (-856))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145)))))) (-2892 (|HasCategory| (-145) (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -620) (QUOTE (-542)))) (-2892 (|HasCategory| (-145) (QUOTE (-856))) (|HasCategory| (-145) (QUOTE (-1109)))) (|HasCategory| (-145) (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145)))))) (-600 E V R P) ((|constructor| (NIL "tools for the summation packages.")) (|sum| (((|Record| (|:| |num| |#4|) (|:| |den| (|Integer|))) |#4| |#2|) "\\spad{sum(p(n), n)} returns \\spad{P(n)},{} the indefinite sum of \\spad{p(n)} with respect to upward difference on \\spad{n},{} \\spadignore{i.e.} \\spad{P(n+1) - P(n) = a(n)}.") (((|Record| (|:| |num| |#4|) (|:| |den| (|Integer|))) |#4| |#2| (|Segment| |#4|)) "\\spad{sum(p(n), n = a..b)} returns \\spad{p(a) + p(a+1) + ... + p(b)}."))) NIL @@ -2335,7 +2335,7 @@ NIL (-601 |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}."))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-562))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-570)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-570)) (|devaluate| |#1|)))) (|HasCategory| (-570) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-368))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-570))))) (|HasSignature| |#1| (LIST (QUOTE -3802) (LIST (|devaluate| |#1|) (QUOTE (-1186)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-570)))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-562))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-570)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-570)) (|devaluate| |#1|)))) (|HasCategory| (-570) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-368))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-570))))) (|HasSignature| |#1| (LIST (QUOTE -3802) (LIST (|devaluate| |#1|) (QUOTE (-1186)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-570)))))) (-602 |Coef|) ((|constructor| (NIL "Internal package for dense Taylor series. This is an internal Taylor series type in which Taylor series are represented by a \\spadtype{Stream} of \\spadtype{Ring} elements. For univariate series,{} the \\spad{Stream} elements are the Taylor coefficients. For multivariate series,{} the \\spad{n}th Stream element is a form of degree \\spad{n} in the power series variables.")) (* (($ $ (|Integer|)) "\\spad{x*i} returns the product of integer \\spad{i} and the series \\spad{x}.")) (|order| (((|NonNegativeInteger|) $ (|NonNegativeInteger|)) "\\spad{order(x,n)} returns the minimum of \\spad{n} and the order of \\spad{x}.") (((|NonNegativeInteger|) $) "\\spad{order(x)} returns the order of a power series \\spad{x},{} \\indented{1}{\\spadignore{i.e.} the degree of the first non-zero term of the series.}")) (|pole?| (((|Boolean|) $) "\\spad{pole?(x)} tests if the series \\spad{x} has a pole. \\indented{1}{Note: this is \\spad{false} when \\spad{x} is a Taylor series.}")) (|series| (($ (|Stream| |#1|)) "\\spad{series(s)} creates a power series from a stream of \\indented{1}{ring elements.} \\indented{1}{For univariate series types,{} the stream \\spad{s} should be a stream} \\indented{1}{of Taylor coefficients. For multivariate series types,{} the} \\indented{1}{stream \\spad{s} should be a stream of forms the \\spad{n}th element} \\indented{1}{of which is a} \\indented{1}{form of degree \\spad{n} in the power series variables.}")) (|coefficients| (((|Stream| |#1|) $) "\\spad{coefficients(x)} returns a stream of ring elements. \\indented{1}{When \\spad{x} is a univariate series,{} this is a stream of Taylor} \\indented{1}{coefficients. When \\spad{x} is a multivariate series,{} the} \\indented{1}{\\spad{n}th element of the stream is a form of} \\indented{1}{degree \\spad{n} in the power series variables.}"))) (((-4454 "*") |has| |#1| (-562)) (-4445 |has| |#1| (-562)) (-4446 . T) (-4447 . T) (-4449 . T)) @@ -2363,7 +2363,7 @@ NIL (-608 R |mn|) ((|constructor| (NIL "\\indented{2}{This type represents vector like objects with varying lengths} and a user-specified initial index."))) ((-4453 . T) (-4452 . T)) -((-2895 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2895 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-732))) (|HasCategory| |#1| (QUOTE (-1058))) (-12 (|HasCategory| |#1| (QUOTE (-1011))) (|HasCategory| |#1| (QUOTE (-1058)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) +((-2892 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2892 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-732))) (|HasCategory| |#1| (QUOTE (-1058))) (-12 (|HasCategory| |#1| (QUOTE (-1011))) (|HasCategory| |#1| (QUOTE (-1058)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-609 S |Index| |Entry|) ((|constructor| (NIL "An indexed aggregate is a many-to-one mapping of indices to entries. For example,{} a one-dimensional-array is an indexed aggregate where the index is an integer. Also,{} a table is an indexed aggregate where the indices and entries may have any type.")) (|swap!| (((|Void|) $ |#2| |#2|) "\\spad{swap!(u,i,j)} interchanges elements \\spad{i} and \\spad{j} of aggregate \\spad{u}. No meaningful value is returned.")) (|fill!| (($ $ |#3|) "\\spad{fill!(u,x)} replaces each entry in aggregate \\spad{u} by \\spad{x}. The modified \\spad{u} is returned as value.")) (|first| ((|#3| $) "\\spad{first(u)} returns the first element \\spad{x} of \\spad{u}. Note: for collections,{} \\axiom{first([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = \\spad{x}}. Error: if \\spad{u} is empty.")) (|minIndex| ((|#2| $) "\\spad{minIndex(u)} returns the minimum index \\spad{i} of aggregate \\spad{u}. Note: in general,{} \\axiom{minIndex(a) = reduce(min,{}[\\spad{i} for \\spad{i} in indices a])}; for lists,{} \\axiom{minIndex(a) = 1}.")) (|maxIndex| ((|#2| $) "\\spad{maxIndex(u)} returns the maximum index \\spad{i} of aggregate \\spad{u}. Note: in general,{} \\axiom{maxIndex(\\spad{u}) = reduce(max,{}[\\spad{i} for \\spad{i} in indices \\spad{u}])}; if \\spad{u} is a list,{} \\axiom{maxIndex(\\spad{u}) = \\#u}.")) (|entry?| (((|Boolean|) |#3| $) "\\spad{entry?(x,u)} tests if \\spad{x} equals \\axiom{\\spad{u} . \\spad{i}} for some index \\spad{i}.")) (|indices| (((|List| |#2|) $) "\\spad{indices(u)} returns a list of indices of aggregate \\spad{u} in no particular order.")) (|index?| (((|Boolean|) |#2| $) "\\spad{index?(i,u)} tests if \\spad{i} is an index of aggregate \\spad{u}.")) (|entries| (((|List| |#3|) $) "\\spad{entries(u)} returns a list of all the entries of aggregate \\spad{u} in no assumed order."))) NIL @@ -2382,12 +2382,12 @@ NIL NIL (-613 R A) ((|constructor| (NIL "\\indented{1}{AssociatedJordanAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$A}} \\indented{1}{to define the new multiplications \\spad{a*b := (a *\\$A b + b *\\$A a)/2}} \\indented{1}{(anticommutator).} \\indented{1}{The usual notation \\spad{{a,b}_+} cannot be used due to} \\indented{1}{restrictions in the current language.} \\indented{1}{This domain only gives a Jordan algebra if the} \\indented{1}{Jordan-identity \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} holds} \\indented{1}{for all \\spad{a},{}\\spad{b},{}\\spad{c} in \\spad{A}.} \\indented{1}{This relation can be checked by} \\indented{1}{\\spadfun{jordanAdmissible?()\\$A}.} \\blankline If the underlying algebra is of type \\spadtype{FramedNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank,{} together with a fixed \\spad{R}-module basis),{} then the same is \\spad{true} for the associated Jordan algebra. Moreover,{} if the underlying algebra is of type \\spadtype{FiniteRankNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank),{} then the same \\spad{true} for the associated Jordan algebra.")) (|coerce| (($ |#2|) "\\spad{coerce(a)} coerces the element \\spad{a} of the algebra \\spad{A} to an element of the Jordan algebra \\spadtype{AssociatedJordanAlgebra}(\\spad{R},{}A)."))) -((-4449 -2895 (-1810 (|has| |#2| (-372 |#1|)) (|has| |#1| (-562))) (-12 (|has| |#2| (-423 |#1|)) (|has| |#1| (-562)))) (-4447 . T) (-4446 . T)) -((-2895 (|HasCategory| |#2| (LIST (QUOTE -372) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -423) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -423) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#2| (LIST (QUOTE -423) (|devaluate| |#1|)))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#2| (LIST (QUOTE -372) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#2| (LIST (QUOTE -423) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -372) (|devaluate| |#1|)))) +((-4449 -2892 (-1809 (|has| |#2| (-372 |#1|)) (|has| |#1| (-562))) (-12 (|has| |#2| (-423 |#1|)) (|has| |#1| (-562)))) (-4447 . T) (-4446 . T)) +((-2892 (|HasCategory| |#2| (LIST (QUOTE -372) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -423) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -423) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#2| (LIST (QUOTE -423) (|devaluate| |#1|)))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#2| (LIST (QUOTE -372) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#2| (LIST (QUOTE -423) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -372) (|devaluate| |#1|)))) (-614 |Entry|) ((|constructor| (NIL "This domain allows a random access file to be viewed both as a table and as a file object.")) (|pack!| (($ $) "\\spad{pack!(f)} reorganizes the file \\spad{f} on disk to recover unused space."))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 |#1|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 |#1|)) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2107) (QUOTE (-1168))) (LIST (QUOTE |:|) (QUOTE -2340) (|devaluate| |#1|)))))) (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 |#1|)) (LIST (QUOTE -620) (QUOTE (-542)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| (-1168) (QUOTE (-856))) (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 |#1|)) (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 |#1|)) (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 |#1|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 |#1|)) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2106) (QUOTE (-1168))) (LIST (QUOTE |:|) (QUOTE -2340) (|devaluate| |#1|)))))) (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 |#1|)) (LIST (QUOTE -620) (QUOTE (-542)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| (-1168) (QUOTE (-856))) (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 |#1|)) (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 |#1|)) (LIST (QUOTE -619) (QUOTE (-868))))) (-615 S |Key| |Entry|) ((|constructor| (NIL "A keyed dictionary is a dictionary of key-entry pairs for which there is a unique entry for each key.")) (|search| (((|Union| |#3| "failed") |#2| $) "\\spad{search(k,t)} searches the table \\spad{t} for the key \\spad{k},{} returning the entry stored in \\spad{t} for key \\spad{k}. If \\spad{t} has no such key,{} \\axiom{search(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|remove!| (((|Union| |#3| "failed") |#2| $) "\\spad{remove!(k,t)} searches the table \\spad{t} for the key \\spad{k} removing (and return) the entry if there. If \\spad{t} has no such key,{} \\axiom{remove!(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|keys| (((|List| |#2|) $) "\\spad{keys(t)} returns the list the keys in table \\spad{t}.")) (|key?| (((|Boolean|) |#2| $) "\\spad{key?(k,t)} tests if \\spad{k} is a key in table \\spad{t}."))) NIL @@ -2483,7 +2483,7 @@ NIL (-638) ((|constructor| (NIL "This domain provides a simple way to save values in files.")) (|setelt| (((|Any|) $ (|Symbol|) (|Any|)) "\\spad{lib.k := v} saves the value \\spad{v} in the library \\spad{lib}. It can later be extracted using the key \\spad{k}.")) (|elt| (((|Any|) $ (|Symbol|)) "\\spad{elt(lib,k)} or \\spad{lib}.\\spad{k} extracts the value corresponding to the key \\spad{k} from the library \\spad{lib}.")) (|pack!| (($ $) "\\spad{pack!(f)} reorganizes the file \\spad{f} on disk to recover unused space.")) (|library| (($ (|FileName|)) "\\spad{library(ln)} creates a new library file."))) ((-4453 . T)) -((-12 (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 (-52))) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2107) (QUOTE (-1168))) (LIST (QUOTE |:|) (QUOTE -2340) (QUOTE (-52))))))) (-2895 (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-52) (QUOTE (-1109)))) (-2895 (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 (-52))) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-52) (QUOTE (-1109))) (|HasCategory| (-52) (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 (-52))) (LIST (QUOTE -620) (QUOTE (-542)))) (-12 (|HasCategory| (-52) (QUOTE (-1109))) (|HasCategory| (-52) (LIST (QUOTE -313) (QUOTE (-52))))) (|HasCategory| (-1168) (QUOTE (-856))) (-2895 (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 (-52))) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-52) (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-52) (QUOTE (-1109))) (|HasCategory| (-52) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 (-52))) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 (-52))) (QUOTE (-1109)))) +((-12 (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 (-52))) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2106) (QUOTE (-1168))) (LIST (QUOTE |:|) (QUOTE -2340) (QUOTE (-52))))))) (-2892 (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-52) (QUOTE (-1109)))) (-2892 (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 (-52))) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-52) (QUOTE (-1109))) (|HasCategory| (-52) (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 (-52))) (LIST (QUOTE -620) (QUOTE (-542)))) (-12 (|HasCategory| (-52) (QUOTE (-1109))) (|HasCategory| (-52) (LIST (QUOTE -313) (QUOTE (-52))))) (|HasCategory| (-1168) (QUOTE (-856))) (-2892 (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 (-52))) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-52) (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-52) (QUOTE (-1109))) (|HasCategory| (-52) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 (-52))) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 (-52))) (QUOTE (-1109)))) (-639 S R) ((|constructor| (NIL "\\axiom{JacobiIdentity} means that \\axiom{[\\spad{x},{}[\\spad{y},{}\\spad{z}]]+[\\spad{y},{}[\\spad{z},{}\\spad{x}]]+[\\spad{z},{}[\\spad{x},{}\\spad{y}]] = 0} holds.")) (/ (($ $ |#2|) "\\axiom{\\spad{x/r}} returns the division of \\axiom{\\spad{x}} by \\axiom{\\spad{r}}.")) (|construct| (($ $ $) "\\axiom{construct(\\spad{x},{}\\spad{y})} returns the Lie bracket of \\axiom{\\spad{x}} and \\axiom{\\spad{y}}."))) NIL @@ -2494,8 +2494,8 @@ NIL NIL (-641 R A) ((|constructor| (NIL "AssociatedLieAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$A} to define the Lie bracket \\spad{a*b := (a *\\$A b - b *\\$A a)} (commutator). Note that the notation \\spad{[a,b]} cannot be used due to restrictions of the current compiler. This domain only gives a Lie algebra if the Jacobi-identity \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} holds for all \\spad{a},{}\\spad{b},{}\\spad{c} in \\spad{A}. This relation can be checked by \\spad{lieAdmissible?()\\$A}. \\blankline If the underlying algebra is of type \\spadtype{FramedNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank,{} together with a fixed \\spad{R}-module basis),{} then the same is \\spad{true} for the associated Lie algebra. Also,{} if the underlying algebra is of type \\spadtype{FiniteRankNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank),{} then the same is \\spad{true} for the associated Lie algebra.")) (|coerce| (($ |#2|) "\\spad{coerce(a)} coerces the element \\spad{a} of the algebra \\spad{A} to an element of the Lie algebra \\spadtype{AssociatedLieAlgebra}(\\spad{R},{}A)."))) -((-4449 -2895 (-1810 (|has| |#2| (-372 |#1|)) (|has| |#1| (-562))) (-12 (|has| |#2| (-423 |#1|)) (|has| |#1| (-562)))) (-4447 . T) (-4446 . T)) -((-2895 (|HasCategory| |#2| (LIST (QUOTE -372) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -423) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -423) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#2| (LIST (QUOTE -423) (|devaluate| |#1|)))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#2| (LIST (QUOTE -372) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#2| (LIST (QUOTE -423) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -372) (|devaluate| |#1|)))) +((-4449 -2892 (-1809 (|has| |#2| (-372 |#1|)) (|has| |#1| (-562))) (-12 (|has| |#2| (-423 |#1|)) (|has| |#1| (-562)))) (-4447 . T) (-4446 . T)) +((-2892 (|HasCategory| |#2| (LIST (QUOTE -372) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -423) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -423) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#2| (LIST (QUOTE -423) (|devaluate| |#1|)))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#2| (LIST (QUOTE -372) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#2| (LIST (QUOTE -423) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -372) (|devaluate| |#1|)))) (-642 R FE) ((|constructor| (NIL "PowerSeriesLimitPackage implements limits of expressions in one or more variables as one of the variables approaches a limiting value. Included are two-sided limits,{} left- and right- hand limits,{} and limits at plus or minus infinity.")) (|complexLimit| (((|Union| (|OnePointCompletion| |#2|) "failed") |#2| (|Equation| (|OnePointCompletion| |#2|))) "\\spad{complexLimit(f(x),x = a)} computes the complex limit \\spad{lim(x -> a,f(x))}.")) (|limit| (((|Union| (|OrderedCompletion| |#2|) "failed") |#2| (|Equation| |#2|) (|String|)) "\\spad{limit(f(x),x=a,\"left\")} computes the left hand real limit \\spad{lim(x -> a-,f(x))}; \\spad{limit(f(x),x=a,\"right\")} computes the right hand real limit \\spad{lim(x -> a+,f(x))}.") (((|Union| (|OrderedCompletion| |#2|) (|Record| (|:| |leftHandLimit| (|Union| (|OrderedCompletion| |#2|) "failed")) (|:| |rightHandLimit| (|Union| (|OrderedCompletion| |#2|) "failed"))) "failed") |#2| (|Equation| (|OrderedCompletion| |#2|))) "\\spad{limit(f(x),x = a)} computes the real limit \\spad{lim(x -> a,f(x))}."))) NIL @@ -2507,7 +2507,7 @@ NIL (-644 S R) ((|constructor| (NIL "Test for linear dependence.")) (|solveLinear| (((|Union| (|Vector| (|Fraction| |#1|)) "failed") (|Vector| |#2|) |#2|) "\\spad{solveLinear([v1,...,vn], u)} returns \\spad{[c1,...,cn]} such that \\spad{c1*v1 + ... + cn*vn = u},{} \"failed\" if no such \\spad{ci}\\spad{'s} exist in the quotient field of \\spad{S}.") (((|Union| (|Vector| |#1|) "failed") (|Vector| |#2|) |#2|) "\\spad{solveLinear([v1,...,vn], u)} returns \\spad{[c1,...,cn]} such that \\spad{c1*v1 + ... + cn*vn = u},{} \"failed\" if no such \\spad{ci}\\spad{'s} exist in \\spad{S}.")) (|linearDependence| (((|Union| (|Vector| |#1|) "failed") (|Vector| |#2|)) "\\spad{linearDependence([v1,...,vn])} returns \\spad{[c1,...,cn]} if \\spad{c1*v1 + ... + cn*vn = 0} and not all the \\spad{ci}\\spad{'s} are 0,{} \"failed\" if the \\spad{vi}\\spad{'s} are linearly independent over \\spad{S}.")) (|linearlyDependent?| (((|Boolean|) (|Vector| |#2|)) "\\spad{linearlyDependent?([v1,...,vn])} returns \\spad{true} if the \\spad{vi}\\spad{'s} are linearly dependent over \\spad{S},{} \\spad{false} otherwise."))) NIL -((-1796 (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (QUOTE (-368)))) +((-1795 (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (QUOTE (-368)))) (-645 R) ((|constructor| (NIL "An extension ring with an explicit linear dependence test.")) (|reducedSystem| (((|Record| (|:| |mat| (|Matrix| |#1|)) (|:| |vec| (|Vector| |#1|))) (|Matrix| $) (|Vector| $)) "\\spad{reducedSystem(A, v)} returns a matrix \\spad{B} and a vector \\spad{w} such that \\spad{A x = v} and \\spad{B x = w} have the same solutions in \\spad{R}.") (((|Matrix| |#1|) (|Matrix| $)) "\\spad{reducedSystem(A)} returns a matrix \\spad{B} such that \\spad{A x = 0} and \\spad{B x = 0} have the same solutions in \\spad{R}."))) ((-4449 . T)) @@ -2531,7 +2531,7 @@ NIL (-650 S) ((|constructor| (NIL "\\spadtype{List} implements singly-linked lists that are addressable by indices; the index of the first element is 1. In addition to the operations provided by \\spadtype{IndexedList},{} this constructor provides some LISP-like functions such as \\spadfun{null} and \\spadfun{cons}.")) (|setDifference| (($ $ $) "\\spad{setDifference(u1,u2)} returns a list of the elements of \\spad{u1} that are not also in \\spad{u2}. The order of elements in the resulting list is unspecified.")) (|setIntersection| (($ $ $) "\\spad{setIntersection(u1,u2)} returns a list of the elements that lists \\spad{u1} and \\spad{u2} have in common. The order of elements in the resulting list is unspecified.")) (|setUnion| (($ $ $) "\\spad{setUnion(u1,u2)} appends the two lists \\spad{u1} and \\spad{u2},{} then removes all duplicates. The order of elements in the resulting list is unspecified.")) (|append| (($ $ $) "\\spad{append(u1,u2)} appends the elements of list \\spad{u1} onto the front of list \\spad{u2}. This new list and \\spad{u2} will share some structure.")) (|cons| (($ |#1| $) "\\spad{cons(element,u)} appends \\spad{element} onto the front of list \\spad{u} and returns the new list. This new list and the old one will share some structure.")) (|null| (((|Boolean|) $) "\\spad{null(u)} tests if list \\spad{u} is the empty list.")) (|nil| (($) "\\spad{nil} is the empty list."))) ((-4453 . T) (-4452 . T)) -((-2895 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2895 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-834))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) +((-2892 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2892 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-834))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-651 T$) ((|constructor| (NIL "This domain represents AST for Spad literals."))) NIL @@ -2543,7 +2543,7 @@ NIL (-653 S) ((|substitute| (($ |#1| |#1| $) "\\spad{substitute(x,y,d)} replace \\spad{x}\\spad{'s} with \\spad{y}\\spad{'s} in dictionary \\spad{d}.")) (|duplicates?| (((|Boolean|) $) "\\spad{duplicates?(d)} tests if dictionary \\spad{d} has duplicate entries."))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (-654 R) ((|constructor| (NIL "The category of left modules over an \\spad{rng} (ring not necessarily with unit). This is an abelian group which supports left multiplation by elements of the \\spad{rng}. \\blankline"))) NIL @@ -2584,7 +2584,7 @@ NIL ((|constructor| (NIL "\\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)))) -(-664 A -1444) +(-664 A -1596) ((|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}}"))) ((-4446 . T) (-4447 . T) (-4449 . T)) ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-368)))) @@ -2635,7 +2635,7 @@ NIL (-676 |n| R) ((|constructor| (NIL "LieSquareMatrix(\\spad{n},{}\\spad{R}) implements the Lie algebra of the \\spad{n} by \\spad{n} matrices over the commutative ring \\spad{R}. The Lie bracket (commutator) of the algebra is given by \\spad{a*b := (a *\\$SQMATRIX(n,R) b - b *\\$SQMATRIX(n,R) a)},{} where \\spadfun{*\\$SQMATRIX(\\spad{n},{}\\spad{R})} is the usual matrix multiplication."))) ((-4449 . T) (-4452 . T) (-4446 . T) (-4447 . T)) -((|HasCategory| |#2| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#2| (QUOTE (-235))) (|HasAttribute| |#2| (QUOTE (-4454 "*"))) (|HasCategory| |#2| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#2| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-570)))) (-2895 (-12 (|HasCategory| |#2| (QUOTE (-235))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -645) (QUOTE (-570))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -907) (QUOTE (-1186)))))) (|HasCategory| |#2| (QUOTE (-311))) (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (QUOTE (-368))) (|HasCategory| |#2| (QUOTE (-562))) (-2895 (|HasAttribute| |#2| (QUOTE (-4454 "*"))) (|HasCategory| |#2| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#2| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#2| (QUOTE (-235)))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) +((|HasCategory| |#2| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#2| (QUOTE (-235))) (|HasAttribute| |#2| (QUOTE (-4454 "*"))) (|HasCategory| |#2| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#2| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-570)))) (-2892 (-12 (|HasCategory| |#2| (QUOTE (-235))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -645) (QUOTE (-570))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -907) (QUOTE (-1186)))))) (|HasCategory| |#2| (QUOTE (-311))) (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (QUOTE (-368))) (|HasCategory| |#2| (QUOTE (-562))) (-2892 (|HasAttribute| |#2| (QUOTE (-4454 "*"))) (|HasCategory| |#2| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#2| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#2| (QUOTE (-235)))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) (-677) ((|constructor| (NIL "This domain represents `literal sequence' syntax.")) (|elements| (((|List| (|SpadAst|)) $) "\\spad{elements(e)} returns the list of expressions in the `literal' list `e'."))) NIL @@ -2655,7 +2655,7 @@ NIL (-681 R) ((|constructor| (NIL "This domain represents three dimensional matrices over a general object type")) (|matrixDimensions| (((|Vector| (|NonNegativeInteger|)) $) "\\spad{matrixDimensions(x)} returns the dimensions of a matrix")) (|matrixConcat3D| (($ (|Symbol|) $ $) "\\spad{matrixConcat3D(s,x,y)} concatenates two 3-\\spad{D} matrices along a specified axis")) (|coerce| (((|PrimitiveArray| (|PrimitiveArray| (|PrimitiveArray| |#1|))) $) "\\spad{coerce(x)} moves from the domain to the representation type") (($ (|PrimitiveArray| (|PrimitiveArray| (|PrimitiveArray| |#1|)))) "\\spad{coerce(p)} moves from the representation type (PrimitiveArray PrimitiveArray PrimitiveArray \\spad{R}) to the domain")) (|setelt!| ((|#1| $ (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|) |#1|) "\\spad{setelt!(x,i,j,k,s)} (or \\spad{x}.\\spad{i}.\\spad{j}.k:=s) sets a specific element of the array to some value of type \\spad{R}")) (|elt| ((|#1| $ (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{elt(x,i,j,k)} extract an element from the matrix \\spad{x}")) (|construct| (($ (|List| (|List| (|List| |#1|)))) "\\spad{construct(lll)} creates a 3-\\spad{D} matrix from a List List List \\spad{R} \\spad{lll}")) (|plus| (($ $ $) "\\spad{plus(x,y)} adds two matrices,{} term by term we note that they must be the same size")) (|identityMatrix| (($ (|NonNegativeInteger|)) "\\spad{identityMatrix(n)} create an identity matrix we note that this must be square")) (|zeroMatrix| (($ (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{zeroMatrix(i,j,k)} create a matrix with all zero terms"))) NIL -((-2895 (-12 (|HasCategory| |#1| (QUOTE (-1058))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (QUOTE (-1058))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) +((-2892 (-12 (|HasCategory| |#1| (QUOTE (-1058))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (QUOTE (-1058))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-682) ((|constructor| (NIL "This domain represents the syntax of a macro definition.")) (|body| (((|SpadAst|) $) "\\spad{body(m)} returns the right hand side of the definition \\spad{`m'}.")) (|head| (((|HeadAst|) $) "\\spad{head(m)} returns the head of the macro definition \\spad{`m'}. This is a list of identifiers starting with the name of the macro followed by the name of the parameters,{} if any."))) NIL @@ -2711,7 +2711,7 @@ NIL (-695 R) ((|constructor| (NIL "\\spadtype{Matrix} is a matrix domain where 1-based indexing is used for both rows and columns.")) (|inverse| (((|Union| $ "failed") $) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|diagonalMatrix| (($ (|Vector| |#1|)) "\\spad{diagonalMatrix(v)} returns a diagonal matrix where the elements of \\spad{v} appear on the diagonal."))) ((-4452 . T) (-4453 . T)) -((-2895 (-12 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-311))) (|HasCategory| |#1| (QUOTE (-562))) (|HasAttribute| |#1| (QUOTE (-4454 "*"))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) +((-2892 (-12 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-311))) (|HasCategory| |#1| (QUOTE (-562))) (|HasAttribute| |#1| (QUOTE (-4454 "*"))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-696 R) ((|constructor| (NIL "This package provides standard arithmetic operations on matrices. The functions in this package store the results of computations in existing matrices,{} rather than creating new matrices. This package works only for matrices of type Matrix and uses the internal representation of this type.")) (** (((|Matrix| |#1|) (|Matrix| |#1|) (|NonNegativeInteger|)) "\\spad{x ** n} computes the \\spad{n}-th power of a square matrix. The power \\spad{n} is assumed greater than 1.")) (|power!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|NonNegativeInteger|)) "\\spad{power!(a,b,c,m,n)} computes \\spad{m} \\spad{**} \\spad{n} and stores the result in \\spad{a}. The matrices \\spad{b} and \\spad{c} are used to store intermediate results. Error: if \\spad{a},{} \\spad{b},{} \\spad{c},{} and \\spad{m} are not square and of the same dimensions.")) (|times!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{times!(c,a,b)} computes the matrix product \\spad{a * b} and stores the result in the matrix \\spad{c}. Error: if \\spad{a},{} \\spad{b},{} and \\spad{c} do not have compatible dimensions.")) (|rightScalarTimes!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rightScalarTimes!(c,a,r)} computes the scalar product \\spad{a * r} and stores the result in the matrix \\spad{c}. Error: if \\spad{a} and \\spad{c} do not have the same dimensions.")) (|leftScalarTimes!| (((|Matrix| |#1|) (|Matrix| |#1|) |#1| (|Matrix| |#1|)) "\\spad{leftScalarTimes!(c,r,a)} computes the scalar product \\spad{r * a} and stores the result in the matrix \\spad{c}. Error: if \\spad{a} and \\spad{c} do not have the same dimensions.")) (|minus!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{!minus!(c,a,b)} computes the matrix difference \\spad{a - b} and stores the result in the matrix \\spad{c}. Error: if \\spad{a},{} \\spad{b},{} and \\spad{c} do not have the same dimensions.") (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{minus!(c,a)} computes \\spad{-a} and stores the result in the matrix \\spad{c}. Error: if a and \\spad{c} do not have the same dimensions.")) (|plus!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{plus!(c,a,b)} computes the matrix sum \\spad{a + b} and stores the result in the matrix \\spad{c}. Error: if \\spad{a},{} \\spad{b},{} and \\spad{c} do not have the same dimensions.")) (|copy!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{copy!(c,a)} copies the matrix \\spad{a} into the matrix \\spad{c}. Error: if \\spad{a} and \\spad{c} do not have the same dimensions."))) NIL @@ -2730,8 +2730,8 @@ NIL NIL (-700) ((|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"))) -((-4445 . T) (-4450 |has| (-705) (-368)) (-4444 |has| (-705) (-368)) (-3178 . T) (-4451 |has| (-705) (-6 -4451)) (-4448 |has| (-705) (-6 -4448)) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| (-705) (QUOTE (-148))) (|HasCategory| (-705) (QUOTE (-146))) (|HasCategory| (-705) (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-705) (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| (-705) (QUOTE (-373))) (|HasCategory| (-705) (QUOTE (-368))) (-2895 (|HasCategory| (-705) (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-705) (QUOTE (-368)))) (|HasCategory| (-705) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-705) (QUOTE (-235))) (-2895 (|HasCategory| (-705) (QUOTE (-368))) (|HasCategory| (-705) (QUOTE (-354)))) (|HasCategory| (-705) (QUOTE (-354))) (|HasCategory| (-705) (LIST (QUOTE -290) (QUOTE (-705)) (QUOTE (-705)))) (|HasCategory| (-705) (LIST (QUOTE -313) (QUOTE (-705)))) (|HasCategory| (-705) (LIST (QUOTE -520) (QUOTE (-1186)) (QUOTE (-705)))) (|HasCategory| (-705) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| (-705) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| (-705) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| (-705) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (-2895 (|HasCategory| (-705) (QUOTE (-311))) (|HasCategory| (-705) (QUOTE (-368))) (|HasCategory| (-705) (QUOTE (-354)))) (|HasCategory| (-705) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-705) (QUOTE (-1031))) (|HasCategory| (-705) (QUOTE (-1212))) (-12 (|HasCategory| (-705) (QUOTE (-1011))) (|HasCategory| (-705) (QUOTE (-1212)))) (-2895 (-12 (|HasCategory| (-705) (QUOTE (-311))) (|HasCategory| (-705) (QUOTE (-916)))) (|HasCategory| (-705) (QUOTE (-368))) (-12 (|HasCategory| (-705) (QUOTE (-354))) (|HasCategory| (-705) (QUOTE (-916))))) (-2895 (-12 (|HasCategory| (-705) (QUOTE (-311))) (|HasCategory| (-705) (QUOTE (-916)))) (-12 (|HasCategory| (-705) (QUOTE (-368))) (|HasCategory| (-705) (QUOTE (-916)))) (-12 (|HasCategory| (-705) (QUOTE (-354))) (|HasCategory| (-705) (QUOTE (-916))))) (|HasCategory| (-705) (QUOTE (-551))) (-12 (|HasCategory| (-705) (QUOTE (-1069))) (|HasCategory| (-705) (QUOTE (-1212)))) (|HasCategory| (-705) (QUOTE (-1069))) (|HasCategory| (-705) (QUOTE (-311))) (|HasCategory| (-705) (QUOTE (-916))) (-2895 (-12 (|HasCategory| (-705) (QUOTE (-311))) (|HasCategory| (-705) (QUOTE (-916)))) (|HasCategory| (-705) (QUOTE (-368)))) (-2895 (-12 (|HasCategory| (-705) (QUOTE (-311))) (|HasCategory| (-705) (QUOTE (-916)))) (|HasCategory| (-705) (QUOTE (-562)))) (-12 (|HasCategory| (-705) (QUOTE (-235))) (|HasCategory| (-705) (QUOTE (-368)))) (-12 (|HasCategory| (-705) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-705) (QUOTE (-368)))) (|HasCategory| (-705) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-705) (QUOTE (-562))) (|HasAttribute| (-705) (QUOTE -4451)) (|HasAttribute| (-705) (QUOTE -4448)) (-12 (|HasCategory| (-705) (QUOTE (-311))) (|HasCategory| (-705) (QUOTE (-916)))) (-2895 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-705) (QUOTE (-311))) (|HasCategory| (-705) (QUOTE (-916)))) (|HasCategory| (-705) (QUOTE (-146)))) (-2895 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-705) (QUOTE (-311))) (|HasCategory| (-705) (QUOTE (-916)))) (|HasCategory| (-705) (QUOTE (-354))))) +((-4445 . T) (-4450 |has| (-705) (-368)) (-4444 |has| (-705) (-368)) (-3175 . T) (-4451 |has| (-705) (-6 -4451)) (-4448 |has| (-705) (-6 -4448)) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) +((|HasCategory| (-705) (QUOTE (-148))) (|HasCategory| (-705) (QUOTE (-146))) (|HasCategory| (-705) (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-705) (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| (-705) (QUOTE (-373))) (|HasCategory| (-705) (QUOTE (-368))) (-2892 (|HasCategory| (-705) (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-705) (QUOTE (-368)))) (|HasCategory| (-705) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-705) (QUOTE (-235))) (-2892 (|HasCategory| (-705) (QUOTE (-368))) (|HasCategory| (-705) (QUOTE (-354)))) (|HasCategory| (-705) (QUOTE (-354))) (|HasCategory| (-705) (LIST (QUOTE -290) (QUOTE (-705)) (QUOTE (-705)))) (|HasCategory| (-705) (LIST (QUOTE -313) (QUOTE (-705)))) (|HasCategory| (-705) (LIST (QUOTE -520) (QUOTE (-1186)) (QUOTE (-705)))) (|HasCategory| (-705) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| (-705) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| (-705) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| (-705) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (-2892 (|HasCategory| (-705) (QUOTE (-311))) (|HasCategory| (-705) (QUOTE (-368))) (|HasCategory| (-705) (QUOTE (-354)))) (|HasCategory| (-705) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-705) (QUOTE (-1031))) (|HasCategory| (-705) (QUOTE (-1212))) (-12 (|HasCategory| (-705) (QUOTE (-1011))) (|HasCategory| (-705) (QUOTE (-1212)))) (-2892 (-12 (|HasCategory| (-705) (QUOTE (-311))) (|HasCategory| (-705) (QUOTE (-916)))) (|HasCategory| (-705) (QUOTE (-368))) (-12 (|HasCategory| (-705) (QUOTE (-354))) (|HasCategory| (-705) (QUOTE (-916))))) (-2892 (-12 (|HasCategory| (-705) (QUOTE (-311))) (|HasCategory| (-705) (QUOTE (-916)))) (-12 (|HasCategory| (-705) (QUOTE (-368))) (|HasCategory| (-705) (QUOTE (-916)))) (-12 (|HasCategory| (-705) (QUOTE (-354))) (|HasCategory| (-705) (QUOTE (-916))))) (|HasCategory| (-705) (QUOTE (-551))) (-12 (|HasCategory| (-705) (QUOTE (-1069))) (|HasCategory| (-705) (QUOTE (-1212)))) (|HasCategory| (-705) (QUOTE (-1069))) (|HasCategory| (-705) (QUOTE (-311))) (|HasCategory| (-705) (QUOTE (-916))) (-2892 (-12 (|HasCategory| (-705) (QUOTE (-311))) (|HasCategory| (-705) (QUOTE (-916)))) (|HasCategory| (-705) (QUOTE (-368)))) (-2892 (-12 (|HasCategory| (-705) (QUOTE (-311))) (|HasCategory| (-705) (QUOTE (-916)))) (|HasCategory| (-705) (QUOTE (-562)))) (-12 (|HasCategory| (-705) (QUOTE (-235))) (|HasCategory| (-705) (QUOTE (-368)))) (-12 (|HasCategory| (-705) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-705) (QUOTE (-368)))) (|HasCategory| (-705) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-705) (QUOTE (-562))) (|HasAttribute| (-705) (QUOTE -4451)) (|HasAttribute| (-705) (QUOTE -4448)) (-12 (|HasCategory| (-705) (QUOTE (-311))) (|HasCategory| (-705) (QUOTE (-916)))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-705) (QUOTE (-311))) (|HasCategory| (-705) (QUOTE (-916)))) (|HasCategory| (-705) (QUOTE (-146)))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-705) (QUOTE (-311))) (|HasCategory| (-705) (QUOTE (-916)))) (|HasCategory| (-705) (QUOTE (-354))))) (-701 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}."))) ((-4453 . T)) @@ -2750,7 +2750,7 @@ NIL NIL (-705) ((|constructor| (NIL "A domain which models the floating point representation used by machines in the AXIOM-NAG link.")) (|changeBase| (($ (|Integer|) (|Integer|) (|PositiveInteger|)) "\\spad{changeBase(exp,man,base)} \\undocumented{}")) (|exponent| (((|Integer|) $) "\\spad{exponent(u)} returns the exponent of \\spad{u}")) (|mantissa| (((|Integer|) $) "\\spad{mantissa(u)} returns the mantissa of \\spad{u}")) (|coerce| (($ (|MachineInteger|)) "\\spad{coerce(u)} transforms a MachineInteger into a MachineFloat") (((|Float|) $) "\\spad{coerce(u)} transforms a MachineFloat to a standard Float")) (|minimumExponent| (((|Integer|)) "\\spad{minimumExponent()} returns the minimum exponent in the model") (((|Integer|) (|Integer|)) "\\spad{minimumExponent(e)} sets the minimum exponent in the model to \\spad{e}")) (|maximumExponent| (((|Integer|)) "\\spad{maximumExponent()} returns the maximum exponent in the model") (((|Integer|) (|Integer|)) "\\spad{maximumExponent(e)} sets the maximum exponent in the model to \\spad{e}")) (|base| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{base(b)} sets the base of the model to \\spad{b}")) (|precision| (((|PositiveInteger|)) "\\spad{precision()} returns the number of digits in the model") (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{precision(p)} sets the number of digits in the model to \\spad{p}"))) -((-3170 . T) (-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) +((-3167 . T) (-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) NIL (-706 R) ((|constructor| (NIL "\\indented{1}{Modular hermitian row reduction.} Author: Manuel Bronstein Date Created: 22 February 1989 Date Last Updated: 24 November 1993 Keywords: matrix,{} reduction.")) (|normalizedDivide| (((|Record| (|:| |quotient| |#1|) (|:| |remainder| |#1|)) |#1| |#1|) "\\spad{normalizedDivide(n,d)} returns a normalized quotient and remainder such that consistently unique representatives for the residue class are chosen,{} \\spadignore{e.g.} positive remainders")) (|rowEchelonLocal| (((|Matrix| |#1|) (|Matrix| |#1|) |#1| |#1|) "\\spad{rowEchelonLocal(m, d, p)} computes the row-echelon form of \\spad{m} concatenated with \\spad{d} times the identity matrix over a local ring where \\spad{p} is the only prime.")) (|rowEchLocal| (((|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rowEchLocal(m,p)} computes a modular row-echelon form of \\spad{m},{} finding an appropriate modulus over a local ring where \\spad{p} is the only prime.")) (|rowEchelon| (((|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rowEchelon(m, d)} computes a modular row-echelon form mod \\spad{d} of \\indented{3}{[\\spad{d}\\space{5}]} \\indented{3}{[\\space{2}\\spad{d}\\space{3}]} \\indented{3}{[\\space{4}. ]} \\indented{3}{[\\space{5}\\spad{d}]} \\indented{3}{[\\space{3}\\spad{M}\\space{2}]} where \\spad{M = m mod d}.")) (|rowEch| (((|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{rowEch(m)} computes a modular row-echelon form of \\spad{m},{} finding an appropriate modulus."))) @@ -2776,7 +2776,7 @@ 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 -(-712 S -2945 I) +(-712 S -2942 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 @@ -2796,14 +2796,14 @@ NIL ((|constructor| (NIL "\\spadtype{MathMLFormat} provides a coercion from \\spadtype{OutputForm} to MathML format.")) (|display| (((|Void|) (|String|)) "prints the string returned by coerce,{} adding <math ...> tags.")) (|exprex| (((|String|) (|OutputForm|)) "coverts \\spadtype{OutputForm} to \\spadtype{String} with the structure preserved with braces. Actually this is not quite accurate. The function \\spadfun{precondition} is first applied to the \\spadtype{OutputForm} expression before \\spadfun{exprex}. The raw \\spadtype{OutputForm} and the nature of the \\spadfun{precondition} function is still obscure to me at the time of this writing (2007-02-14).")) (|coerceL| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format and displays result as one long string.")) (|coerceS| (((|String|) (|OutputForm|)) "\\spad{coerceS(o)} changes \\spad{o} in the standard output format to MathML format and displays formatted result.")) (|coerce| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format."))) NIL NIL -(-717 R |Mod| -3547 -3183 |exactQuo|) +(-717 R |Mod| -2077 -2948 |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| $) "\\spad{modulus(x)} \\undocumented"))) ((-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) NIL (-718 R |Rep|) ((|constructor| (NIL "This package \\undocumented")) (|frobenius| (($ $) "\\spad{frobenius(x)} \\undocumented")) (|computePowers| (((|PrimitiveArray| $)) "\\spad{computePowers()} \\undocumented")) (|pow| (((|PrimitiveArray| $)) "\\spad{pow()} \\undocumented")) (|An| (((|Vector| |#1|) $) "\\spad{An(x)} \\undocumented")) (|UnVectorise| (($ (|Vector| |#1|)) "\\spad{UnVectorise(v)} \\undocumented")) (|Vectorise| (((|Vector| |#1|) $) "\\spad{Vectorise(x)} \\undocumented")) (|lift| ((|#2| $) "\\spad{lift(x)} \\undocumented")) (|reduce| (($ |#2|) "\\spad{reduce(x)} \\undocumented")) (|modulus| ((|#2|) "\\spad{modulus()} \\undocumented")) (|setPoly| ((|#2| |#2|) "\\spad{setPoly(x)} \\undocumented"))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4448 |has| |#1| (-368)) (-4450 |has| |#1| (-6 -4450)) (-4447 . T) (-4446 . T) (-4449 . T)) -((|HasCategory| |#1| (QUOTE (-916))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-174))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasCategory| (-1091) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-384))))) (-12 (|HasCategory| (-1091) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-570))))) (-12 (|HasCategory| (-1091) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384)))))) (-12 (|HasCategory| (-1091) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570)))))) (-12 (|HasCategory| (-1091) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542))))) (|HasCategory| |#1| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (-2895 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-916)))) (-2895 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-916)))) (-2895 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-1161))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (QUOTE (-235))) (|HasAttribute| |#1| (QUOTE -4450)) (|HasCategory| |#1| (QUOTE (-458))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (-2895 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-916))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-174))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasCategory| (-1091) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-384))))) (-12 (|HasCategory| (-1091) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-570))))) (-12 (|HasCategory| (-1091) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384)))))) (-12 (|HasCategory| (-1091) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570)))))) (-12 (|HasCategory| (-1091) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542))))) (|HasCategory| |#1| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (-2892 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-916)))) (-2892 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-916)))) (-2892 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-1161))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (QUOTE (-235))) (|HasAttribute| |#1| (QUOTE -4450)) (|HasCategory| |#1| (QUOTE (-458))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-146))))) (-719 IS E |ff|) ((|constructor| (NIL "This package \\undocumented")) (|construct| (($ |#1| |#2|) "\\spad{construct(i,e)} \\undocumented")) (|index| ((|#1| $) "\\spad{index(x)} \\undocumented")) (|exponent| ((|#2| $) "\\spad{exponent(x)} \\undocumented"))) NIL @@ -2812,7 +2812,7 @@ NIL ((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#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| (($ $ $) "\\spad{adjoint(op1, op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) ((-4447 |has| |#1| (-174)) (-4446 |has| |#1| (-174)) (-4449 . T)) ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148)))) -(-721 R |Mod| -3547 -3183 |exactQuo|) +(-721 R |Mod| -2077 -2948 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\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"))) ((-4449 . T)) NIL @@ -2879,7 +2879,7 @@ NIL (-737 |vl| R) ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials whose variables are from a user specified list of symbols. The ordering is specified by the position of the variable in the list. The coefficient ring may be non commutative,{} but the variables are assumed to commute."))) (((-4454 "*") |has| |#2| (-174)) (-4445 |has| |#2| (-562)) (-4450 |has| |#2| (-6 -4450)) (-4447 . T) (-4446 . T) (-4449 . T)) -((|HasCategory| |#2| (QUOTE (-916))) (-2895 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-458))) (|HasCategory| |#2| (QUOTE (-562))) (|HasCategory| |#2| (QUOTE (-916)))) (-2895 (|HasCategory| |#2| (QUOTE (-458))) (|HasCategory| |#2| (QUOTE (-562))) (|HasCategory| |#2| (QUOTE (-916)))) (-2895 (|HasCategory| |#2| (QUOTE (-458))) (|HasCategory| |#2| (QUOTE (-916)))) (|HasCategory| |#2| (QUOTE (-562))) (|HasCategory| |#2| (QUOTE (-174))) (-2895 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-562)))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| |#2| (LIST (QUOTE -893) (QUOTE (-384))))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| |#2| (LIST (QUOTE -893) (QUOTE (-570))))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| |#2| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384)))))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570)))))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#2| (LIST (QUOTE -620) (QUOTE (-542))))) (|HasCategory| |#2| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-570)))) (-2895 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasCategory| |#2| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (QUOTE (-368))) (|HasAttribute| |#2| (QUOTE -4450)) (|HasCategory| |#2| (QUOTE (-458))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-916)))) (-2895 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-916)))) (|HasCategory| |#2| (QUOTE (-146))))) +((|HasCategory| |#2| (QUOTE (-916))) (-2892 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-458))) (|HasCategory| |#2| (QUOTE (-562))) (|HasCategory| |#2| (QUOTE (-916)))) (-2892 (|HasCategory| |#2| (QUOTE (-458))) (|HasCategory| |#2| (QUOTE (-562))) (|HasCategory| |#2| (QUOTE (-916)))) (-2892 (|HasCategory| |#2| (QUOTE (-458))) (|HasCategory| |#2| (QUOTE (-916)))) (|HasCategory| |#2| (QUOTE (-562))) (|HasCategory| |#2| (QUOTE (-174))) (-2892 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-562)))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| |#2| (LIST (QUOTE -893) (QUOTE (-384))))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| |#2| (LIST (QUOTE -893) (QUOTE (-570))))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| |#2| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384)))))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570)))))) (-12 (|HasCategory| (-870 |#1|) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#2| (LIST (QUOTE -620) (QUOTE (-542))))) (|HasCategory| |#2| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-570)))) (-2892 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasCategory| |#2| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (QUOTE (-368))) (|HasAttribute| |#2| (QUOTE -4450)) (|HasCategory| |#2| (QUOTE (-458))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-916)))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-916)))) (|HasCategory| |#2| (QUOTE (-146))))) (-738 E OV R PRF) ((|constructor| (NIL "\\indented{3}{This package exports a factor operation for multivariate polynomials} with coefficients which are rational functions over some ring \\spad{R} over which we can factor. It is used internally by packages such as primary decomposition which need to work with polynomials with rational function coefficients,{} \\spadignore{i.e.} themselves fractions of polynomials.")) (|factor| (((|Factored| |#4|) |#4|) "\\spad{factor(prf)} factors a polynomial with rational function coefficients.")) (|pushuconst| ((|#4| (|Fraction| (|Polynomial| |#3|)) |#2|) "\\spad{pushuconst(r,var)} takes a rational function and raises all occurances of the variable \\spad{var} to the polynomial level.")) (|pushucoef| ((|#4| (|SparseUnivariatePolynomial| (|Polynomial| |#3|)) |#2|) "\\spad{pushucoef(upoly,var)} converts the anonymous univariate polynomial \\spad{upoly} to a polynomial in \\spad{var} over rational functions.")) (|pushup| ((|#4| |#4| |#2|) "\\spad{pushup(prf,var)} raises all occurences of the variable \\spad{var} in the coefficients of the polynomial \\spad{prf} back to the polynomial level.")) (|pushdterm| ((|#4| (|SparseUnivariatePolynomial| |#4|) |#2|) "\\spad{pushdterm(monom,var)} pushes all top level occurences of the variable \\spad{var} into the coefficient domain for the monomial \\spad{monom}.")) (|pushdown| ((|#4| |#4| |#2|) "\\spad{pushdown(prf,var)} pushes all top level occurences of the variable \\spad{var} into the coefficient domain for the polynomial \\spad{prf}.")) (|totalfract| (((|Record| (|:| |sup| (|Polynomial| |#3|)) (|:| |inf| (|Polynomial| |#3|))) |#4|) "\\spad{totalfract(prf)} takes a polynomial whose coefficients are themselves fractions of polynomials and returns a record containing the numerator and denominator resulting from putting \\spad{prf} over a common denominator.")) (|convert| (((|Symbol|) $) "\\spad{convert(x)} converts \\spad{x} to a symbol"))) NIL @@ -3075,7 +3075,7 @@ NIL (-786 R |VarSet|) ((|constructor| (NIL "A post-facto extension for \\axiomType{\\spad{SMP}} in order to speed up operations related to pseudo-division and \\spad{gcd}. This domain is based on the \\axiomType{NSUP} constructor which is itself a post-facto extension of the \\axiomType{SUP} constructor."))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4450 |has| |#1| (-6 -4450)) (-4447 . T) (-4446 . T) (-4449 . T)) -((|HasCategory| |#1| (QUOTE (-916))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-916)))) (-2895 (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-916)))) (-2895 (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-174))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| |#2| (LIST (QUOTE -893) (QUOTE (-384))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| |#2| (LIST (QUOTE -893) (QUOTE (-570))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| |#2| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) 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(-570))))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -620) (QUOTE (-1186)))) (-1795 (|HasCategory| |#1| (LIST (QUOTE -38) (QUOTE (-570))))) (-1795 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -620) (QUOTE (-1186)))) (-1795 (|HasCategory| |#1| (LIST (QUOTE -1001) (QUOTE (-570))))))) (|HasAttribute| |#1| (QUOTE -4450)) (|HasCategory| |#1| (QUOTE (-458))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-146))))) (-787 R S) ((|constructor| (NIL "This package lifts a mapping from coefficient rings \\spad{R} to \\spad{S} to a mapping from sparse univariate polynomial over \\spad{R} to a sparse univariate polynomial over \\spad{S}. Note that the mapping is assumed to send zero to zero,{} since it will only be applied to the non-zero coefficients of the polynomial.")) (|map| (((|NewSparseUnivariatePolynomial| |#2|) (|Mapping| |#2| |#1|) (|NewSparseUnivariatePolynomial| |#1|)) "\\axiom{map(func,{} poly)} creates a new polynomial by applying func to every non-zero coefficient of the polynomial poly."))) NIL @@ -3083,7 +3083,7 @@ NIL (-788 R) ((|constructor| (NIL "A post-facto extension for \\axiomType{SUP} in order to speed up operations related to pseudo-division and \\spad{gcd} for both \\axiomType{SUP} and,{} consequently,{} \\axiomType{NSMP}.")) (|halfExtendedResultant2| (((|Record| (|:| |resultant| |#1|) (|:| |coef2| $)) $ $) "\\axiom{halfExtendedResultant2(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} \\spad{cb}]}")) (|halfExtendedResultant1| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $)) $ $) "\\axiom{halfExtendedResultant1(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} \\spad{cb}]}")) (|extendedResultant| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{}\\spad{cb}]} such that \\axiom{\\spad{r}} is the resultant of \\axiom{a} and \\axiom{\\spad{b}} and \\axiom{\\spad{r} = ca * a + \\spad{cb} * \\spad{b}}")) (|halfExtendedSubResultantGcd2| (((|Record| (|:| |gcd| $) (|:| |coef2| $)) $ $) "\\axiom{halfExtendedSubResultantGcd2(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}\\spad{cb}]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]}")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{halfExtendedSubResultantGcd1(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]}")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]} such that \\axiom{\\spad{g}} is a \\spad{gcd} of \\axiom{a} and \\axiom{\\spad{b}} in \\axiom{\\spad{R^}(\\spad{-1}) \\spad{P}} and \\axiom{\\spad{g} = ca * a + \\spad{cb} * \\spad{b}}")) (|lastSubResultant| (($ $ $) "\\axiom{lastSubResultant(a,{}\\spad{b})} returns \\axiom{resultant(a,{}\\spad{b})} if \\axiom{a} and \\axiom{\\spad{b}} has no non-trivial \\spad{gcd} in \\axiom{\\spad{R^}(\\spad{-1}) \\spad{P}} otherwise the non-zero sub-resultant with smallest index.")) (|subResultantsChain| (((|List| $) $ $) "\\axiom{subResultantsChain(a,{}\\spad{b})} returns the list of the non-zero sub-resultants of \\axiom{a} and \\axiom{\\spad{b}} sorted by increasing degree.")) (|lazyPseudoQuotient| (($ $ $) "\\axiom{lazyPseudoQuotient(a,{}\\spad{b})} returns \\axiom{\\spad{q}} if \\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}")) (|lazyPseudoDivide| (((|Record| (|:| |coef| |#1|) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{\\spad{c^n} * a = \\spad{q*b} \\spad{+r}} and \\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} where \\axiom{\\spad{n} + \\spad{g} = max(0,{} degree(\\spad{b}) - degree(a) + 1)}.")) (|lazyPseudoRemainder| (($ $ $) "\\axiom{lazyPseudoRemainder(a,{}\\spad{b})} returns \\axiom{\\spad{r}} if \\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]}. This lazy pseudo-remainder is computed by means of the \\axiomOpFrom{fmecg}{NewSparseUnivariatePolynomial} operation.")) (|lazyResidueClass| (((|Record| (|:| |polnum| $) (|:| |polden| |#1|) (|:| |power| (|NonNegativeInteger|))) $ $) "\\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} such that \\axiom{\\spad{r}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{b}} divides \\axiom{\\spad{c^n} * a - \\spad{r}} where \\axiom{\\spad{c}} is \\axiom{leadingCoefficient(\\spad{b})} and \\axiom{\\spad{n}} is as small as possible with the previous properties.")) (|monicModulo| (($ $ $) "\\axiom{monicModulo(a,{}\\spad{b})} returns \\axiom{\\spad{r}} such that \\axiom{\\spad{r}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{b}} divides \\axiom{a \\spad{-r}} where \\axiom{\\spad{b}} is monic.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#1| $) "\\axiom{fmecg(\\spad{p1},{}\\spad{e},{}\\spad{r},{}\\spad{p2})} returns \\axiom{\\spad{p1} - \\spad{r} * X**e * \\spad{p2}} where \\axiom{\\spad{X}} is \\axiom{monomial(1,{}1)}"))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4448 |has| |#1| (-368)) (-4450 |has| |#1| (-6 -4450)) (-4447 . T) (-4446 . T) (-4449 . 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(|eulerE| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{eulerE(n,r)} \\undocumented")) (|bernoulliB| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{bernoulliB(n,r)} \\undocumented")) (|cyclotomic| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{cyclotomic(n,r)} \\undocumented"))) NIL @@ -3144,14 +3144,14 @@ NIL ((|constructor| (NIL "OctonionCategory gives the categorial frame for the octonions,{} and eight-dimensional non-associative algebra,{} doubling the the quaternions in the same way as doubling the Complex numbers to get the quaternions.")) (|inv| (($ $) "\\spad{inv(o)} returns the inverse of \\spad{o} if it exists.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(o)} returns the real part if all seven imaginary parts are 0,{} and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(o)} returns the real part if all seven imaginary parts are 0. Error: if \\spad{o} is not rational.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(o)} tests if \\spad{o} is rational,{} \\spadignore{i.e.} that all seven imaginary parts are 0.")) (|abs| ((|#1| $) "\\spad{abs(o)} computes the absolute value of an octonion,{} equal to the square root of the \\spadfunFrom{norm}{Octonion}.")) (|octon| (($ |#1| |#1| |#1| |#1| |#1| |#1| |#1| |#1|) "\\spad{octon(re,ri,rj,rk,rE,rI,rJ,rK)} constructs an octonion from scalars.")) (|norm| ((|#1| $) "\\spad{norm(o)} returns the norm of an octonion,{} equal to the sum of the squares of its coefficients.")) (|imagK| ((|#1| $) "\\spad{imagK(o)} extracts the imaginary \\spad{K} part of octonion \\spad{o}.")) (|imagJ| ((|#1| $) "\\spad{imagJ(o)} extracts the imaginary \\spad{J} part of octonion \\spad{o}.")) (|imagI| ((|#1| $) "\\spad{imagI(o)} extracts the imaginary \\spad{I} part of octonion \\spad{o}.")) (|imagE| ((|#1| $) "\\spad{imagE(o)} extracts the imaginary \\spad{E} part of octonion \\spad{o}.")) (|imagk| ((|#1| $) "\\spad{imagk(o)} extracts the \\spad{k} part of octonion \\spad{o}.")) (|imagj| ((|#1| $) "\\spad{imagj(o)} extracts the \\spad{j} part of octonion \\spad{o}.")) (|imagi| ((|#1| $) "\\spad{imagi(o)} extracts the \\spad{i} part of octonion \\spad{o}.")) (|real| ((|#1| $) "\\spad{real(o)} extracts real part of octonion \\spad{o}.")) (|conjugate| (($ $) "\\spad{conjugate(o)} negates the imaginary parts \\spad{i},{}\\spad{j},{}\\spad{k},{}\\spad{E},{}\\spad{I},{}\\spad{J},{}\\spad{K} of octonian \\spad{o}."))) ((-4446 . T) (-4447 . T) (-4449 . T)) NIL -(-804 -2895 R OS S) +(-804 -2892 R OS S) ((|constructor| (NIL "OctonionCategoryFunctions2 implements functions between two octonion domains defined over different rings. The function map is used to coerce between octonion types.")) (|map| ((|#3| (|Mapping| |#4| |#2|) |#1|) "\\spad{map(f,u)} maps \\spad{f} onto the component parts of the octonion \\spad{u}."))) NIL NIL (-805 R) ((|constructor| (NIL "Octonion implements octonions (Cayley-Dixon algebra) over a commutative ring,{} an eight-dimensional non-associative algebra,{} doubling the quaternions in the same way as doubling the complex numbers to get the quaternions the main constructor function is {\\em octon} which takes 8 arguments: the real part,{} the \\spad{i} imaginary part,{} the \\spad{j} imaginary part,{} the \\spad{k} imaginary part,{} (as with quaternions) and in addition the imaginary parts \\spad{E},{} \\spad{I},{} \\spad{J},{} \\spad{K}.")) (|octon| (($ (|Quaternion| |#1|) (|Quaternion| |#1|)) "\\spad{octon(qe,qE)} constructs an octonion from two quaternions using the relation {\\em O = Q + QE}."))) ((-4446 . T) (-4447 . T) (-4449 . 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(|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|))) (|RoutinesTable|) (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{measure(R,args)} calculates an estimate of the ability of a particular method to solve a problem. \\blankline This method may be either a specific NAG routine or a strategy (such as transforming the function from one which is difficult to one which is easier to solve). \\blankline It will call whichever agents are needed to perform analysis on the problem in order to calculate the measure. There is a parameter,{} labelled \\axiom{sofar},{} which would contain the best compatibility found so far."))) 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The ranking on the differential indeterminate is orderly. This is analogous to the domain \\spadtype{Polynomial}. \\blankline"))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4450 |has| |#1| (-6 -4450)) (-4447 . T) (-4446 . T) (-4449 . 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(((-4454 "*") |has| |#2| (-368)) (-4445 |has| |#2| (-368)) (-4450 |has| |#2| (-368)) (-4444 |has| |#2| (-368)) (-4449 . T) (-4447 . T) (-4446 . T)) @@ -3287,7 +3287,7 @@ NIL (-839 R) ((|constructor| (NIL "Adjunction of a complex infinity to a set. Date Created: 4 Oct 1989 Date Last Updated: 1 Nov 1989")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a finite rational number if it is one,{} \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a finite rational number. Error: if \\spad{x} is not a rational number.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a finite rational number.")) (|infinite?| (((|Boolean|) $) "\\spad{infinite?(x)} tests if \\spad{x} is infinite.")) (|finite?| (((|Boolean|) $) "\\spad{finite?(x)} tests if \\spad{x} is finite.")) (|infinity| (($) "\\spad{infinity()} returns infinity."))) 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The domain parameter \\spad{S} provides representation for the `external name' of an operator.")) (|is?| (((|Boolean|) $ |#2|) "\\spad{is?(op,n)} holds if the name of the operator \\spad{op} is \\spad{n}.")) (|arity| (((|Arity|) $) "\\spad{arity(op)} returns the arity of the operator \\spad{op}.")) (|name| ((|#2| $) "\\spad{name(op)} returns the externam name of \\spad{op}."))) NIL @@ -3327,12 +3327,12 @@ NIL (-849 R) ((|constructor| (NIL "Adjunction of two real infinites quantities to a set. Date Created: 4 Oct 1989 Date Last Updated: 1 Nov 1989")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a finite rational number if it is one and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a finite rational number. Error: if \\spad{x} cannot be so converted.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a finite rational number.")) (|whatInfinity| (((|SingleInteger|) $) "\\spad{whatInfinity(x)} returns 0 if \\spad{x} is finite,{} 1 if \\spad{x} is +infinity,{} and \\spad{-1} if \\spad{x} is -infinity.")) (|infinite?| (((|Boolean|) $) "\\spad{infinite?(x)} tests if \\spad{x} is +infinity or -infinity,{}")) (|finite?| (((|Boolean|) $) "\\spad{finite?(x)} tests if \\spad{x} is finite.")) (|minusInfinity| (($) "\\spad{minusInfinity()} returns -infinity.")) (|plusInfinity| (($) "\\spad{plusInfinity()} returns +infinity."))) ((-4449 |has| |#1| (-854))) -((|HasCategory| |#1| (QUOTE (-854))) (|HasCategory| |#1| (QUOTE (-21))) (-2895 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-854)))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (-2895 (|HasCategory| |#1| (QUOTE (-854))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-551)))) +((|HasCategory| |#1| (QUOTE (-854))) (|HasCategory| |#1| (QUOTE (-21))) (-2892 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-854)))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (-2892 (|HasCategory| |#1| (QUOTE (-854))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-551)))) (-850) ((|constructor| (NIL "Ordered finite sets.")) (|max| (($) "\\spad{max} is the maximum value of \\%.")) (|min| (($) "\\spad{min} is the minimum value of \\%."))) NIL NIL -(-851 -2550 S) +(-851 -2549 S) ((|constructor| (NIL "\\indented{3}{This package provides ordering functions on vectors which} are suitable parameters for OrderedDirectProduct.")) (|reverseLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{reverseLex(v1,v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the ordering which is total degree refined by the reverse lexicographic ordering.")) (|totalLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{totalLex(v1,v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the ordering which is total degree refined by lexicographic ordering.")) (|pureLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{pureLex(v1,v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the lexicographic ordering."))) NIL NIL @@ -3368,11 +3368,11 @@ NIL ((|constructor| (NIL "\\spad{UnivariateSkewPolynomialCategoryOps} provides products and \\indented{1}{divisions of univariate skew polynomials.}")) (|rightDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{rightDivide(a, b, sigma)} returns the pair \\spad{[q,r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``right division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|leftDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{leftDivide(a, b, sigma)} returns the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``left division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|monicRightDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{monicRightDivide(a, b, sigma)} returns the pair \\spad{[q,r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. \\spad{b} must be monic. This process is called ``right division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|monicLeftDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{monicLeftDivide(a, b, sigma)} returns the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. \\spad{b} must be monic. This process is called ``left division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|apply| ((|#1| |#2| |#1| |#1| (|Automorphism| |#1|) (|Mapping| |#1| |#1|)) "\\spad{apply(p, c, m, sigma, delta)} returns \\spad{p(m)} where the action is given by \\spad{x m = c sigma(m) + delta(m)}.")) (|times| ((|#2| |#2| |#2| (|Automorphism| |#1|) (|Mapping| |#1| |#1|)) "\\spad{times(p, q, sigma, delta)} returns \\spad{p * q}. \\spad{\\sigma} and \\spad{\\delta} are the maps to use."))) NIL ((|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) -(-860 R |sigma| -3229) +(-860 R |sigma| -3226) ((|constructor| (NIL "This is the domain of sparse univariate skew polynomials over an Ore coefficient field. The multiplication is given by \\spad{x a = \\sigma(a) x + \\delta a}.")) (|outputForm| (((|OutputForm|) $ (|OutputForm|)) "\\spad{outputForm(p, x)} returns the output form of \\spad{p} using \\spad{x} for the otherwise anonymous variable."))) ((-4446 . T) (-4447 . T) (-4449 . T)) ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-368)))) -(-861 |x| R |sigma| -3229) +(-861 |x| R |sigma| -3226) ((|constructor| (NIL "This is the domain of univariate skew polynomials over an Ore coefficient field in a named variable. The multiplication is given by \\spad{x a = \\sigma(a) x + \\delta a}."))) ((-4446 . T) (-4447 . T) (-4449 . T)) ((|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#2| (QUOTE (-562))) (|HasCategory| |#2| (QUOTE (-458))) (|HasCategory| |#2| (QUOTE (-368)))) @@ -3439,15 +3439,15 @@ NIL (-877 |p|) ((|constructor| (NIL "Stream-based implementation of \\spad{Qp:} numbers are represented as sum(\\spad{i} = \\spad{k}..,{} a[\\spad{i}] * p^i) where the a[\\spad{i}] lie in 0,{}1,{}...,{}(\\spad{p} - 1)."))) ((-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| (-876 |#1|) (QUOTE (-916))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -1047) (QUOTE (-1186)))) (|HasCategory| (-876 |#1|) (QUOTE (-146))) (|HasCategory| (-876 |#1|) (QUOTE (-148))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-876 |#1|) (QUOTE (-1031))) (|HasCategory| (-876 |#1|) (QUOTE (-826))) (-2895 (|HasCategory| (-876 |#1|) (QUOTE (-826))) (|HasCategory| (-876 |#1|) (QUOTE (-856)))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-876 |#1|) (QUOTE (-1161))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| (-876 |#1|) (QUOTE (-235))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -520) (QUOTE (-1186)) (LIST (QUOTE -876) (|devaluate| |#1|)))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -313) (LIST (QUOTE -876) (|devaluate| |#1|)))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -290) (LIST (QUOTE -876) (|devaluate| |#1|)) (LIST (QUOTE -876) (|devaluate| |#1|)))) (|HasCategory| (-876 |#1|) (QUOTE (-311))) (|HasCategory| (-876 |#1|) (QUOTE (-551))) (|HasCategory| (-876 |#1|) (QUOTE (-856))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-876 |#1|) (QUOTE (-916)))) (-2895 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-876 |#1|) (QUOTE (-916)))) (|HasCategory| (-876 |#1|) (QUOTE (-146))))) +((|HasCategory| (-876 |#1|) (QUOTE (-916))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -1047) (QUOTE (-1186)))) (|HasCategory| (-876 |#1|) (QUOTE (-146))) (|HasCategory| (-876 |#1|) (QUOTE (-148))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-876 |#1|) (QUOTE (-1031))) (|HasCategory| (-876 |#1|) (QUOTE (-826))) (-2892 (|HasCategory| (-876 |#1|) (QUOTE (-826))) (|HasCategory| (-876 |#1|) (QUOTE (-856)))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-876 |#1|) (QUOTE (-1161))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| (-876 |#1|) (QUOTE (-235))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -520) (QUOTE (-1186)) (LIST (QUOTE -876) (|devaluate| |#1|)))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -313) (LIST (QUOTE -876) (|devaluate| |#1|)))) (|HasCategory| (-876 |#1|) (LIST (QUOTE -290) (LIST (QUOTE -876) (|devaluate| |#1|)) (LIST (QUOTE -876) (|devaluate| |#1|)))) (|HasCategory| (-876 |#1|) (QUOTE (-311))) (|HasCategory| (-876 |#1|) (QUOTE (-551))) (|HasCategory| (-876 |#1|) (QUOTE (-856))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-876 |#1|) (QUOTE (-916)))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-876 |#1|) (QUOTE (-916)))) (|HasCategory| (-876 |#1|) (QUOTE (-146))))) (-878 |p| PADIC) ((|constructor| (NIL "This is the category of stream-based representations of \\spad{Qp}.")) (|removeZeroes| (($ (|Integer|) $) "\\spad{removeZeroes(n,x)} removes up to \\spad{n} leading zeroes from the \\spad{p}-adic rational \\spad{x}.") (($ $) "\\spad{removeZeroes(x)} removes leading zeroes from the representation of the \\spad{p}-adic rational \\spad{x}. A \\spad{p}-adic rational is represented by (1) an exponent and (2) a \\spad{p}-adic integer which may have leading zero digits. When the \\spad{p}-adic integer has a leading zero digit,{} a 'leading zero' is removed from the \\spad{p}-adic rational as follows: the number is rewritten by increasing the exponent by 1 and dividing the \\spad{p}-adic integer by \\spad{p}. Note: \\spad{removeZeroes(f)} removes all leading zeroes from \\spad{f}.")) (|continuedFraction| (((|ContinuedFraction| (|Fraction| (|Integer|))) $) "\\spad{continuedFraction(x)} converts the \\spad{p}-adic rational number \\spad{x} to a continued fraction.")) (|approximate| (((|Fraction| (|Integer|)) $ (|Integer|)) "\\spad{approximate(x,n)} returns a rational number \\spad{y} such that \\spad{y = x (mod p^n)}."))) ((-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| |#2| (QUOTE (-916))) (|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-1186)))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#2| (QUOTE (-1031))) (|HasCategory| |#2| (QUOTE (-826))) (-2895 (|HasCategory| |#2| (QUOTE (-826))) (|HasCategory| |#2| (QUOTE (-856)))) (|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#2| (QUOTE (-1161))) (|HasCategory| |#2| (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| |#2| (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| |#2| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| |#2| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#2| (QUOTE (-235))) (|HasCategory| |#2| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#2| (LIST (QUOTE -520) (QUOTE (-1186)) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -290) (|devaluate| |#2|) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-311))) (|HasCategory| |#2| (QUOTE (-551))) (|HasCategory| |#2| (QUOTE (-856))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-916)))) (-2895 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-916)))) (|HasCategory| |#2| (QUOTE (-146))))) +((|HasCategory| |#2| (QUOTE (-916))) (|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-1186)))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#2| (QUOTE (-1031))) (|HasCategory| |#2| (QUOTE (-826))) (-2892 (|HasCategory| |#2| (QUOTE (-826))) (|HasCategory| |#2| (QUOTE (-856)))) (|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#2| (QUOTE (-1161))) (|HasCategory| |#2| (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| |#2| (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| |#2| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| |#2| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#2| (QUOTE (-235))) (|HasCategory| |#2| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#2| (LIST (QUOTE -520) (QUOTE (-1186)) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -290) (|devaluate| |#2|) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-311))) (|HasCategory| |#2| (QUOTE (-551))) (|HasCategory| |#2| (QUOTE (-856))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-916)))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-916)))) (|HasCategory| |#2| (QUOTE (-146))))) (-879 S T$) ((|constructor| (NIL "\\indented{1}{This domain provides a very simple representation} of the notion of `pair of objects'. It does not try to achieve all possible imaginable things.")) (|second| ((|#2| $) "\\spad{second(p)} extracts the second components of \\spad{`p'}.")) (|first| ((|#1| $) "\\spad{first(p)} extracts the first component of \\spad{`p'}.")) (|construct| (($ |#1| |#2|) "\\spad{construct(s,t)} is same as pair(\\spad{s},{}\\spad{t}),{} with syntactic sugar.")) (|pair| (($ |#1| |#2|) "\\spad{pair(s,t)} returns a pair object composed of \\spad{`s'} and \\spad{`t'}."))) NIL -((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#2| (QUOTE (-1109)))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#2| (QUOTE (-1109)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868)))))) +((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#2| (QUOTE (-1109)))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#2| (QUOTE (-1109)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868)))))) (-880) ((|constructor| (NIL "This domain describes four groups of color shades (palettes).")) (|coerce| (($ (|Color|)) "\\spad{coerce(c)} sets the average shade for the palette to that of the indicated color \\spad{c}.")) (|shade| (((|Integer|) $) "\\spad{shade(p)} returns the shade index of the indicated palette \\spad{p}.")) (|hue| (((|Color|) $) "\\spad{hue(p)} returns the hue field of the indicated palette \\spad{p}.")) (|light| (($ (|Color|)) "\\spad{light(c)} sets the shade of a hue,{} \\spad{c},{} to it\\spad{'s} highest value.")) (|pastel| (($ (|Color|)) "\\spad{pastel(c)} sets the shade of a hue,{} \\spad{c},{} above bright,{} but below light.")) (|bright| (($ (|Color|)) "\\spad{bright(c)} sets the shade of a hue,{} \\spad{c},{} above dim,{} but below pastel.")) (|dim| (($ (|Color|)) "\\spad{dim(c)} sets the shade of a hue,{} \\spad{c},{} above dark,{} but below bright.")) (|dark| (($ (|Color|)) "\\spad{dark(c)} sets the shade of the indicated hue of \\spad{c} to it\\spad{'s} lowest value."))) NIL @@ -3507,7 +3507,7 @@ NIL (-894 |Base| |Subject| |Pat|) ((|constructor| (NIL "This package provides the top-level pattern macthing functions.")) (|Is| (((|PatternMatchResult| |#1| |#2|) |#2| |#3|) "\\spad{Is(expr, pat)} matches the pattern pat on the expression \\spad{expr} and returns a match of the form \\spad{[v1 = e1,...,vn = en]}; returns an empty match if \\spad{expr} is exactly equal to pat. returns a \\spadfun{failed} match if pat does not match \\spad{expr}.") (((|List| (|Equation| (|Polynomial| |#2|))) |#2| |#3|) "\\spad{Is(expr, pat)} matches the pattern pat on the expression \\spad{expr} and returns a list of matches \\spad{[v1 = e1,...,vn = en]}; returns an empty list if either \\spad{expr} is exactly equal to pat or if pat does not match \\spad{expr}.") (((|List| (|Equation| |#2|)) |#2| |#3|) "\\spad{Is(expr, pat)} matches the pattern pat on the expression \\spad{expr} and returns a list of matches \\spad{[v1 = e1,...,vn = en]}; returns an empty list if either \\spad{expr} is exactly equal to pat or if pat does not match \\spad{expr}.") (((|PatternMatchListResult| |#1| |#2| (|List| |#2|)) (|List| |#2|) |#3|) "\\spad{Is([e1,...,en], pat)} matches the pattern pat on the list of expressions \\spad{[e1,...,en]} and returns the result.")) (|is?| (((|Boolean|) (|List| |#2|) |#3|) "\\spad{is?([e1,...,en], pat)} tests if the list of expressions \\spad{[e1,...,en]} matches the pattern pat.") (((|Boolean|) |#2| |#3|) "\\spad{is?(expr, pat)} tests if the expression \\spad{expr} matches the pattern pat."))) NIL -((-12 (-1796 (|HasCategory| |#2| (QUOTE (-1058)))) (-1796 (|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-1186)))))) (-12 (|HasCategory| |#2| (QUOTE (-1058))) (-1796 (|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-1186)))))) (|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-1186))))) +((-12 (-1795 (|HasCategory| |#2| (QUOTE (-1058)))) (-1795 (|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-1186)))))) (-12 (|HasCategory| |#2| (QUOTE (-1058))) (-1795 (|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-1186)))))) (|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-1186))))) (-895 R A B) ((|constructor| (NIL "Lifts maps to pattern matching results.")) (|map| (((|PatternMatchResult| |#1| |#3|) (|Mapping| |#3| |#2|) (|PatternMatchResult| |#1| |#2|)) "\\spad{map(f, [(v1,a1),...,(vn,an)])} returns the matching result [(\\spad{v1},{}\\spad{f}(a1)),{}...,{}(\\spad{vn},{}\\spad{f}(an))]."))) NIL @@ -3516,7 +3516,7 @@ 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|) $) "\\spad{failed?(r)} tests if \\spad{r} is a failed match."))) NIL NIL -(-897 R -2945) +(-897 R -2942) ((|constructor| (NIL "Tools for patterns.")) (|badValues| (((|List| |#2|) (|Pattern| |#1|)) "\\spad{badValues(p)} returns the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|addBadValue| (((|Pattern| |#1|) (|Pattern| |#1|) |#2|) "\\spad{addBadValue(p, v)} adds \\spad{v} to the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|satisfy?| (((|Boolean|) (|List| |#2|) (|Pattern| |#1|)) "\\spad{satisfy?([v1,...,vn], p)} returns \\spad{f(v1,...,vn)} where \\spad{f} is the top-level predicate attached to \\spad{p}.") (((|Boolean|) |#2| (|Pattern| |#1|)) "\\spad{satisfy?(v, p)} returns \\spad{f}(\\spad{v}) where \\spad{f} is the predicate attached to \\spad{p}.")) (|predicate| (((|Mapping| (|Boolean|) |#2|) (|Pattern| |#1|)) "\\spad{predicate(p)} returns the predicate attached to \\spad{p},{} the constant function \\spad{true} if \\spad{p} has no predicates attached to it.")) (|suchThat| (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Symbol|)) (|Mapping| (|Boolean|) (|List| |#2|))) "\\spad{suchThat(p, [a1,...,an], f)} returns a copy of \\spad{p} with the top-level predicate set to \\spad{f(a1,...,an)}.") (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Mapping| (|Boolean|) |#2|))) "\\spad{suchThat(p, [f1,...,fn])} makes a copy of \\spad{p} and adds the predicate \\spad{f1} and ... and \\spad{fn} to the copy,{} which is returned.") (((|Pattern| |#1|) (|Pattern| |#1|) (|Mapping| (|Boolean|) |#2|)) "\\spad{suchThat(p, f)} makes a copy of \\spad{p} and adds the predicate \\spad{f} to the copy,{} which is returned."))) NIL NIL @@ -3563,7 +3563,7 @@ NIL (-908 S) ((|constructor| (NIL "\\indented{1}{A PendantTree(\\spad{S})is either a leaf? and is an \\spad{S} or has} a left and a right both PendantTree(\\spad{S})\\spad{'s}")) (|ptree| (($ $ $) "\\spad{ptree(x,y)} \\undocumented") (($ |#1|) "\\spad{ptree(s)} is a leaf? pendant tree"))) NIL -((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (-909 |n| R) ((|constructor| (NIL "Permanent implements the functions {\\em permanent},{} the permanent for square matrices.")) (|permanent| ((|#2| (|SquareMatrix| |#1| |#2|)) "\\spad{permanent(x)} computes the permanent of a square matrix \\spad{x}. The {\\em permanent} is equivalent to the \\spadfun{determinant} except that coefficients have no change of sign. This function is much more difficult to compute than the {\\em determinant}. The formula used is by \\spad{H}.\\spad{J}. Ryser,{} improved by [Nijenhuis and Wilf,{} \\spad{Ch}. 19]. Note: permanent(\\spad{x}) choose one of three algorithms,{} depending on the underlying ring \\spad{R} and on \\spad{n},{} the number of rows (and columns) of \\spad{x:}\\begin{items} \\item 1. if 2 has an inverse in \\spad{R} we can use the algorithm of \\indented{3}{[Nijenhuis and Wilf,{} \\spad{ch}.19,{}\\spad{p}.158]; if 2 has no inverse,{}} \\indented{3}{some modifications are necessary:} \\item 2. if {\\em n > 6} and \\spad{R} is an integral domain with characteristic \\indented{3}{different from 2 (the algorithm works if and only 2 is not a} \\indented{3}{zero-divisor of \\spad{R} and {\\em characteristic()\\$R ~= 2},{}} \\indented{3}{but how to check that for any given \\spad{R} ?),{}} \\indented{3}{the local function {\\em permanent2} is called;} \\item 3. else,{} the local function {\\em permanent3} is called \\indented{3}{(works for all commutative rings \\spad{R}).} \\end{items}"))) NIL @@ -3579,7 +3579,7 @@ NIL (-912 S) ((|constructor| (NIL "Permutation(\\spad{S}) implements the group of all bijections \\indented{2}{on a set \\spad{S},{} which move only a finite number of points.} \\indented{2}{A permutation is considered as a map from \\spad{S} into \\spad{S}. In particular} \\indented{2}{multiplication is defined as composition of maps:} \\indented{2}{{\\em pi1 * pi2 = pi1 o pi2}.} \\indented{2}{The internal representation of permuatations are two lists} \\indented{2}{of equal length representing preimages and images.}")) (|coerceImages| (($ (|List| |#1|)) "\\spad{coerceImages(ls)} coerces the list {\\em ls} to a permutation whose image is given by {\\em ls} and the preimage is fixed to be {\\em [1,...,n]}. Note: {coerceImages(\\spad{ls})=coercePreimagesImages([1,{}...,{}\\spad{n}],{}\\spad{ls})}. We assume that both preimage and image do not contain repetitions.")) (|fixedPoints| (((|Set| |#1|) $) "\\spad{fixedPoints(p)} returns the points fixed by the permutation \\spad{p}.")) (|sort| (((|List| $) (|List| $)) "\\spad{sort(lp)} sorts a list of permutations {\\em lp} according to cycle structure first according to length of cycles,{} second,{} if \\spad{S} has \\spadtype{Finite} or \\spad{S} has \\spadtype{OrderedSet} according to lexicographical order of entries in cycles of equal length.")) (|odd?| (((|Boolean|) $) "\\spad{odd?(p)} returns \\spad{true} if and only if \\spad{p} is an odd permutation \\spadignore{i.e.} {\\em sign(p)} is {\\em -1}.")) (|even?| (((|Boolean|) $) "\\spad{even?(p)} returns \\spad{true} if and only if \\spad{p} is an even permutation,{} \\spadignore{i.e.} {\\em sign(p)} is 1.")) (|sign| (((|Integer|) $) "\\spad{sign(p)} returns the signum of the permutation \\spad{p},{} \\spad{+1} or \\spad{-1}.")) (|numberOfCycles| (((|NonNegativeInteger|) $) "\\spad{numberOfCycles(p)} returns the number of non-trivial cycles of the permutation \\spad{p}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(p)} returns the order of a permutation \\spad{p} as a group element.")) (|cyclePartition| (((|Partition|) $) "\\spad{cyclePartition(p)} returns the cycle structure of a permutation \\spad{p} including cycles of length 1 only if \\spad{S} is finite.")) (|movedPoints| (((|Set| |#1|) $) "\\spad{movedPoints(p)} returns the set of points moved by the permutation \\spad{p}.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(p)} retuns the number of points moved by the permutation \\spad{p}.")) (|coerceListOfPairs| (($ (|List| (|List| |#1|))) "\\spad{coerceListOfPairs(lls)} coerces a list of pairs {\\em lls} to a permutation. Error: if not consistent,{} \\spadignore{i.e.} the set of the first elements coincides with the set of second elements. coerce(\\spad{p}) generates output of the permutation \\spad{p} with domain OutputForm.")) (|coerce| (($ (|List| |#1|)) "\\spad{coerce(ls)} coerces a cycle {\\em ls},{} \\spadignore{i.e.} a list with not repetitions to a permutation,{} which maps {\\em ls.i} to {\\em ls.i+1},{} indices modulo the length of the list. Error: if repetitions occur.") (($ (|List| (|List| |#1|))) "\\spad{coerce(lls)} coerces a list of cycles {\\em lls} to a permutation,{} each cycle being a list with no repetitions,{} is coerced to the permutation,{} which maps {\\em ls.i} to {\\em ls.i+1},{} indices modulo the length of the list,{} then these permutations are mutiplied. Error: if repetitions occur in one cycle.")) (|coercePreimagesImages| (($ (|List| (|List| |#1|))) "\\spad{coercePreimagesImages(lls)} coerces the representation {\\em lls} of a permutation as a list of preimages and images to a permutation. We assume that both preimage and image do not contain repetitions.")) (|listRepresentation| (((|Record| (|:| |preimage| (|List| |#1|)) (|:| |image| (|List| |#1|))) $) "\\spad{listRepresentation(p)} produces a representation {\\em rep} of the permutation \\spad{p} as a list of preimages and images,{} \\spad{i}.\\spad{e} \\spad{p} maps {\\em (rep.preimage).k} to {\\em (rep.image).k} for all indices \\spad{k}. Elements of \\spad{S} not in {\\em (rep.preimage).k} are fixed points,{} and these are the only fixed points of the permutation."))) ((-4449 . T)) -((-2895 (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#1| (QUOTE (-856)))) (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#1| (QUOTE (-856)))) +((-2892 (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#1| (QUOTE (-856)))) (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#1| (QUOTE (-856)))) (-913 R E |VarSet| S) ((|constructor| (NIL "PolynomialFactorizationByRecursion(\\spad{R},{}\\spad{E},{}\\spad{VarSet},{}\\spad{S}) is used for factorization of sparse univariate polynomials over a domain \\spad{S} of multivariate polynomials over \\spad{R}.")) (|factorSFBRlcUnit| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|List| |#3|) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factorSFBRlcUnit(p)} returns the square free factorization of polynomial \\spad{p} (see \\spadfun{factorSquareFreeByRecursion}{PolynomialFactorizationByRecursionUnivariate}) in the case where the leading coefficient of \\spad{p} is a unit.")) (|bivariateSLPEBR| (((|Union| (|List| (|SparseUnivariatePolynomial| |#4|)) "failed") (|List| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|) |#3|) "\\spad{bivariateSLPEBR(lp,p,v)} implements the bivariate case of \\spadfunFrom{solveLinearPolynomialEquationByRecursion}{PolynomialFactorizationByRecursionUnivariate}; its implementation depends on \\spad{R}")) (|randomR| ((|#1|) "\\spad{randomR produces} a random element of \\spad{R}")) (|factorSquareFreeByRecursion| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factorSquareFreeByRecursion(p)} returns the square free factorization of \\spad{p}. This functions performs the recursion step for factorSquareFreePolynomial,{} as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{factorSquareFreePolynomial}).")) (|factorByRecursion| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factorByRecursion(p)} factors polynomial \\spad{p}. This function performs the recursion step for factorPolynomial,{} as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{factorPolynomial})")) (|solveLinearPolynomialEquationByRecursion| (((|Union| (|List| (|SparseUnivariatePolynomial| |#4|)) "failed") (|List| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{solveLinearPolynomialEquationByRecursion([p1,...,pn],p)} returns the list of polynomials \\spad{[q1,...,qn]} such that \\spad{sum qi/pi = p / prod pi},{} a recursion step for solveLinearPolynomialEquation as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{solveLinearPolynomialEquation}). If no such list of \\spad{qi} exists,{} then \"failed\" is returned."))) NIL @@ -3704,11 +3704,11 @@ 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 -893) (|devaluate| |#1|)))) -(-944 R -1709 -2945) +(-944 R -1709 -2942) ((|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 -(-945 -2945) +(-945 -2942) ((|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 @@ -3731,7 +3731,7 @@ NIL (-950 R) ((|constructor| (NIL "This domain implements points in coordinate space"))) ((-4453 . T) (-4452 . T)) -((-2895 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2895 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-732))) (|HasCategory| |#1| (QUOTE (-1058))) (-12 (|HasCategory| |#1| (QUOTE (-1011))) (|HasCategory| |#1| (QUOTE (-1058)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) +((-2892 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2892 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-732))) (|HasCategory| |#1| (QUOTE (-1058))) (-12 (|HasCategory| |#1| (QUOTE (-1011))) (|HasCategory| |#1| (QUOTE (-1058)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-951 |lv| R) ((|constructor| (NIL "Package with the conversion functions among different kind of polynomials")) (|pToDmp| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|Polynomial| |#2|)) "\\spad{pToDmp(p)} converts \\spad{p} from a \\spadtype{POLY} to a \\spadtype{DMP}.")) (|dmpToP| (((|Polynomial| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{dmpToP(p)} converts \\spad{p} from a \\spadtype{DMP} to a \\spadtype{POLY}.")) (|hdmpToP| (((|Polynomial| |#2|) (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{hdmpToP(p)} converts \\spad{p} from a \\spadtype{HDMP} to a \\spadtype{POLY}.")) (|pToHdmp| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|Polynomial| |#2|)) "\\spad{pToHdmp(p)} converts \\spad{p} from a \\spadtype{POLY} to a \\spadtype{HDMP}.")) (|hdmpToDmp| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{hdmpToDmp(p)} converts \\spad{p} from a \\spadtype{HDMP} to a \\spadtype{DMP}.")) (|dmpToHdmp| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{dmpToHdmp(p)} converts \\spad{p} from a \\spadtype{DMP} to a \\spadtype{HDMP}."))) NIL @@ -3767,7 +3767,7 @@ NIL (-959 R) ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials whose variables are arbitrary symbols. The ordering is alphabetic determined by the Symbol type. The coefficient ring may be non commutative,{} but the variables are assumed to commute.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(p,x)} computes the integral of \\spad{p*dx},{} \\spadignore{i.e.} integrates the polynomial \\spad{p} with respect to the variable \\spad{x}."))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4450 |has| |#1| (-6 -4450)) (-4447 . T) (-4446 . T) (-4449 . T)) -((|HasCategory| |#1| (QUOTE (-916))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-916)))) (-2895 (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-916)))) (-2895 (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-174))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasCategory| (-1186) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-384))))) (-12 (|HasCategory| (-1186) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-570))))) (-12 (|HasCategory| (-1186) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384)))))) (-12 (|HasCategory| (-1186) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570)))))) (-12 (|HasCategory| (-1186) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542))))) (|HasCategory| |#1| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (-2895 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-368))) (|HasAttribute| |#1| (QUOTE -4450)) (|HasCategory| |#1| (QUOTE (-458))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (-2895 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-916))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-916)))) (-2892 (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-916)))) (-2892 (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-174))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasCategory| (-1186) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-384))))) (-12 (|HasCategory| (-1186) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-570))))) (-12 (|HasCategory| (-1186) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384)))))) (-12 (|HasCategory| (-1186) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570)))))) (-12 (|HasCategory| (-1186) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542))))) (|HasCategory| |#1| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (-2892 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-368))) (|HasAttribute| |#1| (QUOTE -4450)) (|HasCategory| |#1| (QUOTE (-458))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-146))))) (-960 E V R P -1709) ((|constructor| (NIL "computes \\spad{n}-th roots of quotients of multivariate polynomials")) (|nthr| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#4|) (|:| |radicand| (|List| |#4|))) |#4| (|NonNegativeInteger|)) "\\spad{nthr(p,n)} should be local but conditional")) (|froot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) |#5| (|NonNegativeInteger|)) "\\spad{froot(f, n)} returns \\spad{[m,c,r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|qroot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) (|Fraction| (|Integer|)) (|NonNegativeInteger|)) "\\spad{qroot(f, n)} returns \\spad{[m,c,r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|rroot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) |#3| (|NonNegativeInteger|)) "\\spad{rroot(f, n)} returns \\spad{[m,c,r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|denom| ((|#4| $) "\\spad{denom(x)} \\undocumented")) (|numer| ((|#4| $) "\\spad{numer(x)} \\undocumented"))) NIL @@ -3791,7 +3791,7 @@ NIL (-965 S) ((|constructor| (NIL "\\indented{1}{This provides a fast array type with no bound checking on elt\\spad{'s}.} Minimum index is 0 in this type,{} cannot be changed"))) ((-4453 . T) (-4452 . T)) -((-2895 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2895 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) +((-2892 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2892 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-966) ((|constructor| (NIL "Category for the functions defined by integrals.")) (|integral| (($ $ (|SegmentBinding| $)) "\\spad{integral(f, x = a..b)} returns the formal definite integral of \\spad{f} \\spad{dx} for \\spad{x} between \\spad{a} and \\spad{b}.") (($ $ (|Symbol|)) "\\spad{integral(f, x)} returns the formal integral of \\spad{f} \\spad{dx}."))) NIL @@ -3811,11 +3811,11 @@ NIL (-970 R E) ((|constructor| (NIL "This domain represents generalized polynomials with coefficients (from a not necessarily commutative ring),{} and terms indexed by their exponents (from an arbitrary ordered abelian monoid). This type is used,{} for example,{} by the \\spadtype{DistributedMultivariatePolynomial} domain where the exponent domain is a direct product of non negative integers.")) (|canonicalUnitNormal| ((|attribute|) "canonicalUnitNormal guarantees that the function unitCanonical returns the same representative for all associates of any particular element.")) (|fmecg| (($ $ |#2| |#1| $) "\\spad{fmecg(p1,e,r,p2)} finds \\spad{X} : \\spad{p1} - \\spad{r} * X**e * \\spad{p2}"))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4450 |has| |#1| (-6 -4450)) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-562))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2895 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-458))) (-12 (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#2| (QUOTE (-132)))) (|HasAttribute| |#1| (QUOTE -4450))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-562))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2892 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-458))) (-12 (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#2| (QUOTE (-132)))) (|HasAttribute| |#1| (QUOTE -4450))) (-971 A B) ((|constructor| (NIL "This domain implements cartesian product")) (|selectsecond| ((|#2| $) "\\spad{selectsecond(x)} \\undocumented")) (|selectfirst| ((|#1| $) "\\spad{selectfirst(x)} \\undocumented")) (|makeprod| (($ |#1| |#2|) "\\spad{makeprod(a,b)} \\undocumented"))) ((-4449 -12 (|has| |#2| (-479)) (|has| |#1| (-479)))) -((-2895 (-12 (|HasCategory| |#1| (QUOTE (-799))) (|HasCategory| |#2| (QUOTE (-799)))) (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#2| (QUOTE (-856))))) (-12 (|HasCategory| |#1| (QUOTE (-799))) (|HasCategory| |#2| (QUOTE (-799)))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-799))) (|HasCategory| |#2| (QUOTE (-799))))) (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-799))) (|HasCategory| |#2| (QUOTE (-799))))) (-12 (|HasCategory| |#1| (QUOTE (-479))) (|HasCategory| |#2| (QUOTE (-479)))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-479))) (|HasCategory| |#2| (QUOTE (-479)))) (-12 (|HasCategory| |#1| (QUOTE (-732))) (|HasCategory| |#2| (QUOTE (-732))))) (-12 (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#2| (QUOTE (-373)))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-479))) (|HasCategory| |#2| (QUOTE (-479)))) (-12 (|HasCategory| |#1| (QUOTE (-732))) (|HasCategory| |#2| (QUOTE (-732)))) (-12 (|HasCategory| |#1| (QUOTE (-799))) (|HasCategory| |#2| (QUOTE (-799))))) (-12 (|HasCategory| |#1| (QUOTE (-732))) (|HasCategory| |#2| (QUOTE (-732)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#2| (QUOTE (-856))))) +((-2892 (-12 (|HasCategory| |#1| (QUOTE (-799))) (|HasCategory| |#2| (QUOTE (-799)))) (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#2| (QUOTE (-856))))) (-12 (|HasCategory| |#1| (QUOTE (-799))) (|HasCategory| |#2| (QUOTE (-799)))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-799))) (|HasCategory| |#2| (QUOTE (-799))))) (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-799))) (|HasCategory| |#2| (QUOTE (-799))))) (-12 (|HasCategory| |#1| (QUOTE (-479))) (|HasCategory| |#2| (QUOTE (-479)))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-479))) (|HasCategory| |#2| (QUOTE (-479)))) (-12 (|HasCategory| |#1| (QUOTE (-732))) (|HasCategory| |#2| (QUOTE (-732))))) (-12 (|HasCategory| |#1| (QUOTE (-373))) (|HasCategory| |#2| (QUOTE (-373)))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-479))) (|HasCategory| |#2| (QUOTE (-479)))) (-12 (|HasCategory| |#1| (QUOTE (-732))) (|HasCategory| |#2| (QUOTE (-732)))) (-12 (|HasCategory| |#1| (QUOTE (-799))) (|HasCategory| |#2| (QUOTE (-799))))) (-12 (|HasCategory| |#1| (QUOTE (-732))) (|HasCategory| |#2| (QUOTE (-732)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#2| (QUOTE (-856))))) (-972) ((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 18,{} 2008. An `Property' is a pair of name and value.")) (|property| (($ (|Identifier|) (|SExpression|)) "\\spad{property(n,val)} constructs a property with name \\spad{`n'} and value `val'.")) (|value| (((|SExpression|) $) "\\spad{value(p)} returns value of property \\spad{p}")) (|name| (((|Identifier|) $) "\\spad{name(p)} returns the name of property \\spad{p}"))) NIL @@ -3849,7 +3849,7 @@ NIL NIL NIL (-980) -((|constructor| (NIL "Partition is an OrderedCancellationAbelianMonoid which is used as the basis for symmetric polynomial representation of the sums of powers in SymmetricPolynomial. Thus,{} \\spad{(5 2 2 1)} will represent \\spad{s5 * s2**2 * s1}.")) (|conjugate| (($ $) "\\spad{conjugate(p)} returns the conjugate partition of a partition \\spad{p}")) (|pdct| (((|PositiveInteger|) $) "\\spad{pdct(a1**n1 a2**n2 ...)} returns \\spad{n1! * a1**n1 * n2! * a2**n2 * ...}. This function is used in the package \\spadtype{CycleIndicators}.")) (|powers| (((|List| (|Pair| (|PositiveInteger|) (|PositiveInteger|))) $) "\\spad{powers(x)} returns a list of pairs. The second component of each pair is the multiplicity with which the first component occurs in \\spad{li}.")) (|partition| (($ (|List| (|PositiveInteger|))) "\\spad{partition(li)} converts a list of integers \\spad{li} to a partition"))) +((|constructor| (NIL "Partition is an OrderedCancellationAbelianMonoid which is used as the basis for symmetric polynomial representation of the sums of powers in SymmetricPolynomial. Thus,{} \\spad{(5 2 2 1)} will represent \\spad{s5 * s2**2 * s1}.")) (|conjugate| (($ $) "\\spad{conjugate(p)} returns the conjugate partition of a partition \\spad{p}")) (|pdct| (((|PositiveInteger|) $) "\\spad{pdct(a1**n1 a2**n2 ...)} returns \\spad{n1! * a1**n1 * n2! * a2**n2 * ...}. This function is used in the package \\spadtype{CycleIndicators}.")) (|powers| (((|List| (|Pair| (|PositiveInteger|) (|PositiveInteger|))) $) "\\spad{powers(x)} returns a list of pairs. The second component of each pair is the multiplicity with which the first component occurs in \\spad{li}.")) (|partitions| (((|Stream| $) (|NonNegativeInteger|)) "\\spad{partitions n} returns the stream of all partitions of size \\spad{n}.")) (|#| (((|NonNegativeInteger|) $) "\\spad{\\#x} returns the sum of all parts of the partition \\spad{x}.")) (|parts| (((|List| (|PositiveInteger|)) $) "\\spad{parts x} returns the list of decreasing integer sequence making up the partition \\spad{x}.")) (|partition| (($ (|List| (|PositiveInteger|))) "\\spad{partition(li)} converts a list of integers \\spad{li} to a partition"))) NIL NIL (-981 S |Coef| |Expon| |Var|) @@ -3963,11 +3963,11 @@ NIL (-1008 R) ((|constructor| (NIL "\\spadtype{Quaternion} implements quaternions over a \\indented{2}{commutative ring. The main constructor function is \\spadfun{quatern}} \\indented{2}{which takes 4 arguments: the real part,{} the \\spad{i} imaginary part,{} the \\spad{j}} \\indented{2}{imaginary part and the \\spad{k} imaginary part.}"))) ((-4445 |has| |#1| (-294)) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-368))) (-2895 (|HasCategory| |#1| (QUOTE (-294))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (QUOTE (-294))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#1| (LIST (QUOTE -520) (QUOTE (-1186)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -290) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-235))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (-2895 (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-1069))) (|HasCategory| |#1| (QUOTE (-551)))) +((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-368))) (-2892 (|HasCategory| |#1| (QUOTE (-294))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (QUOTE (-294))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#1| (LIST (QUOTE -520) (QUOTE (-1186)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -290) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-235))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (-2892 (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-1069))) (|HasCategory| |#1| (QUOTE (-551)))) (-1009 S) ((|constructor| (NIL "Linked List implementation of a Queue")) (|queue| (($ (|List| |#1|)) "\\spad{queue([x,y,...,z])} creates a queue with first (top) element \\spad{x},{} second element \\spad{y},{}...,{}and last (bottom) element \\spad{z}."))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (-1010 S) ((|constructor| (NIL "The \\spad{RadicalCategory} is a model for the rational numbers.")) (** (($ $ (|Fraction| (|Integer|))) "\\spad{x ** y} is the rational exponentiation of \\spad{x} by the power \\spad{y}.")) (|nthRoot| (($ $ (|Integer|)) "\\spad{nthRoot(x,n)} returns the \\spad{n}th root of \\spad{x}.")) (|sqrt| (($ $) "\\spad{sqrt(x)} returns the square root of \\spad{x}."))) NIL @@ -3979,11 +3979,11 @@ NIL (-1012 -1709 UP UPUP |radicnd| |n|) ((|constructor| (NIL "Function field defined by y**n = \\spad{f}(\\spad{x})."))) ((-4445 |has| (-413 |#2|) (-368)) (-4450 |has| (-413 |#2|) (-368)) (-4444 |has| (-413 |#2|) (-368)) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| (-413 |#2|) (QUOTE (-146))) (|HasCategory| (-413 |#2|) (QUOTE (-148))) (|HasCategory| (-413 |#2|) (QUOTE (-354))) (-2895 (|HasCategory| (-413 |#2|) (QUOTE (-368))) (|HasCategory| (-413 |#2|) (QUOTE (-354)))) (|HasCategory| (-413 |#2|) (QUOTE (-368))) (|HasCategory| (-413 |#2|) (QUOTE (-373))) (-2895 (-12 (|HasCategory| (-413 |#2|) (QUOTE (-235))) (|HasCategory| (-413 |#2|) (QUOTE (-368)))) (|HasCategory| (-413 |#2|) (QUOTE (-354)))) (-2895 (-12 (|HasCategory| (-413 |#2|) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-413 |#2|) (QUOTE (-368)))) (-12 (|HasCategory| (-413 |#2|) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-413 |#2|) (QUOTE (-354))))) (|HasCategory| (-413 |#2|) (LIST (QUOTE -645) (QUOTE (-570)))) (-2895 (|HasCategory| (-413 |#2|) (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-413 |#2|) (QUOTE (-368)))) (|HasCategory| (-413 |#2|) (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-413 |#2|) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-373))) (-12 (|HasCategory| (-413 |#2|) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-413 |#2|) (QUOTE (-368)))) (-12 (|HasCategory| (-413 |#2|) (QUOTE (-235))) (|HasCategory| (-413 |#2|) (QUOTE (-368))))) +((|HasCategory| (-413 |#2|) (QUOTE (-146))) (|HasCategory| (-413 |#2|) (QUOTE (-148))) (|HasCategory| (-413 |#2|) (QUOTE (-354))) (-2892 (|HasCategory| (-413 |#2|) (QUOTE (-368))) (|HasCategory| (-413 |#2|) (QUOTE (-354)))) (|HasCategory| (-413 |#2|) (QUOTE (-368))) (|HasCategory| (-413 |#2|) (QUOTE (-373))) (-2892 (-12 (|HasCategory| (-413 |#2|) (QUOTE (-235))) (|HasCategory| (-413 |#2|) (QUOTE (-368)))) (|HasCategory| (-413 |#2|) (QUOTE (-354)))) (-2892 (-12 (|HasCategory| (-413 |#2|) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-413 |#2|) (QUOTE (-368)))) (-12 (|HasCategory| (-413 |#2|) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-413 |#2|) (QUOTE (-354))))) (|HasCategory| (-413 |#2|) (LIST (QUOTE -645) (QUOTE (-570)))) (-2892 (|HasCategory| (-413 |#2|) (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-413 |#2|) (QUOTE (-368)))) (|HasCategory| (-413 |#2|) (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-413 |#2|) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-373))) (-12 (|HasCategory| (-413 |#2|) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-413 |#2|) (QUOTE (-368)))) (-12 (|HasCategory| (-413 |#2|) (QUOTE (-235))) (|HasCategory| (-413 |#2|) (QUOTE (-368))))) (-1013 |bb|) ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating decimal expansions or more generally as repeating expansions in any base.")) (|fractRadix| (($ (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{fractRadix(pre,cyc)} creates a fractional radix expansion from a list of prefix ragits and a list of cyclic ragits. For example,{} \\spad{fractRadix([1],[6])} will return \\spad{0.16666666...}.")) (|wholeRadix| (($ (|List| (|Integer|))) "\\spad{wholeRadix(l)} creates an integral radix expansion from a list of ragits. For example,{} \\spad{wholeRadix([1,3,4])} will return \\spad{134}.")) (|cycleRagits| (((|List| (|Integer|)) $) "\\spad{cycleRagits(rx)} returns the cyclic part of the ragits of the fractional part of a radix expansion. For example,{} if \\spad{x = 3/28 = 0.10 714285 714285 ...},{} then \\spad{cycleRagits(x) = [7,1,4,2,8,5]}.")) (|prefixRagits| (((|List| (|Integer|)) $) "\\spad{prefixRagits(rx)} returns the non-cyclic part of the ragits of the fractional part of a radix expansion. For example,{} if \\spad{x = 3/28 = 0.10 714285 714285 ...},{} then \\spad{prefixRagits(x)=[1,0]}.")) (|fractRagits| (((|Stream| (|Integer|)) $) "\\spad{fractRagits(rx)} returns the ragits of the fractional part of a radix expansion.")) (|wholeRagits| (((|List| (|Integer|)) $) "\\spad{wholeRagits(rx)} returns the ragits of the integer part of a radix expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(rx)} returns the fractional part of a radix expansion."))) ((-4444 . T) (-4450 . T) (-4445 . T) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| (-570) (QUOTE (-916))) (|HasCategory| (-570) (LIST (QUOTE -1047) (QUOTE (-1186)))) (|HasCategory| (-570) (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-148))) (|HasCategory| (-570) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-570) (QUOTE (-1031))) (|HasCategory| (-570) (QUOTE (-826))) (-2895 (|HasCategory| (-570) (QUOTE (-826))) (|HasCategory| (-570) (QUOTE (-856)))) (|HasCategory| (-570) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-570) (QUOTE (-1161))) (|HasCategory| (-570) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| (-570) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| (-570) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| (-570) (QUOTE (-235))) (|HasCategory| (-570) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-570) (LIST (QUOTE -520) (QUOTE (-1186)) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -313) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -290) (QUOTE (-570)) (QUOTE (-570)))) (|HasCategory| (-570) (QUOTE (-311))) (|HasCategory| (-570) (QUOTE (-551))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| (-570) (LIST (QUOTE -645) (QUOTE (-570)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-916)))) (-2895 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-916)))) (|HasCategory| (-570) (QUOTE (-146))))) +((|HasCategory| (-570) (QUOTE (-916))) (|HasCategory| (-570) (LIST (QUOTE -1047) (QUOTE (-1186)))) (|HasCategory| (-570) (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-148))) (|HasCategory| (-570) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-570) (QUOTE (-1031))) (|HasCategory| (-570) (QUOTE (-826))) (-2892 (|HasCategory| (-570) (QUOTE (-826))) (|HasCategory| (-570) (QUOTE (-856)))) (|HasCategory| (-570) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-570) (QUOTE (-1161))) (|HasCategory| (-570) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| (-570) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| (-570) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| (-570) (QUOTE (-235))) (|HasCategory| (-570) (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| (-570) (LIST (QUOTE -520) (QUOTE (-1186)) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -313) (QUOTE (-570)))) (|HasCategory| (-570) (LIST (QUOTE -290) (QUOTE (-570)) (QUOTE (-570)))) (|HasCategory| (-570) (QUOTE (-311))) (|HasCategory| (-570) (QUOTE (-551))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| (-570) (LIST (QUOTE -645) (QUOTE (-570)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-916)))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-570) (QUOTE (-916)))) (|HasCategory| (-570) (QUOTE (-146))))) (-1014) ((|constructor| (NIL "This package provides tools for creating radix expansions.")) (|radix| (((|Any|) (|Fraction| (|Integer|)) (|Integer|)) "\\spad{radix(x,b)} converts \\spad{x} to a radix expansion in base \\spad{b}."))) NIL @@ -4063,7 +4063,7 @@ NIL (-1033 |TheField|) ((|constructor| (NIL "This domain implements the real closure of an ordered field.")) (|relativeApprox| (((|Fraction| (|Integer|)) $ $) "\\axiom{relativeApprox(\\spad{n},{}\\spad{p})} gives a relative approximation of \\axiom{\\spad{n}} that has precision \\axiom{\\spad{p}}")) (|mainCharacterization| (((|Union| (|RightOpenIntervalRootCharacterization| $ (|SparseUnivariatePolynomial| $)) "failed") $) "\\axiom{mainCharacterization(\\spad{x})} is the main algebraic quantity of \\axiom{\\spad{x}} (\\axiom{SEG})")) (|algebraicOf| (($ (|RightOpenIntervalRootCharacterization| $ (|SparseUnivariatePolynomial| $)) (|OutputForm|)) "\\axiom{algebraicOf(char)} is the external number"))) ((-4445 . T) (-4450 . T) (-4444 . T) (-4447 . T) (-4446 . T) ((-4454 "*") . T) (-4449 . T)) -((-2895 (|HasCategory| (-413 (-570)) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-413 (-570)) (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-413 (-570)) (LIST (QUOTE -1047) (QUOTE (-570))))) +((-2892 (|HasCategory| (-413 (-570)) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-413 (-570)) (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-413 (-570)) (LIST (QUOTE -1047) (QUOTE (-570))))) (-1034 -1709 L) ((|constructor| (NIL "\\spadtype{ReductionOfOrder} provides functions for reducing the order of linear ordinary differential equations once some solutions are known.")) (|ReduceOrder| (((|Record| (|:| |eq| |#2|) (|:| |op| (|List| |#1|))) |#2| (|List| |#1|)) "\\spad{ReduceOrder(op, [f1,...,fk])} returns \\spad{[op1,[g1,...,gk]]} such that for any solution \\spad{z} of \\spad{op1 z = 0},{} \\spad{y = gk \\int(g_{k-1} \\int(... \\int(g1 \\int z)...)} is a solution of \\spad{op y = 0}. Each \\spad{fi} must satisfy \\spad{op fi = 0}.") ((|#2| |#2| |#1|) "\\spad{ReduceOrder(op, s)} returns \\spad{op1} such that for any solution \\spad{z} of \\spad{op1 z = 0},{} \\spad{y = s \\int z} is a solution of \\spad{op y = 0}. \\spad{s} must satisfy \\spad{op s = 0}."))) NIL @@ -4107,7 +4107,7 @@ NIL (-1044) ((|constructor| (NIL "A domain used to return the results from a call to the NAG Library. It prints as a list of names and types,{} though the user may choose to display values automatically if he or she wishes.")) (|showArrayValues| (((|Boolean|) (|Boolean|)) "\\spad{showArrayValues(true)} forces the values of array components to be \\indented{1}{displayed rather than just their types.}")) (|showScalarValues| (((|Boolean|) (|Boolean|)) "\\spad{showScalarValues(true)} forces the values of scalar components to be \\indented{1}{displayed rather than just their types.}"))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| (-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2107) (QUOTE (-1186))) (LIST (QUOTE |:|) (QUOTE -2340) (QUOTE (-52))))))) (-2895 (|HasCategory| (-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-52) (QUOTE (-1109)))) (-2895 (|HasCategory| (-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-52) (QUOTE (-1109))) (|HasCategory| (-52) (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -620) (QUOTE (-542)))) (-12 (|HasCategory| (-52) (QUOTE (-1109))) (|HasCategory| (-52) (LIST (QUOTE -313) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-1186) (QUOTE (-856))) (|HasCategory| (-52) (QUOTE (-1109))) (-2895 (|HasCategory| (-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-52) (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-52) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| (-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2106) (QUOTE (-1186))) (LIST (QUOTE |:|) (QUOTE -2340) (QUOTE (-52))))))) (-2892 (|HasCategory| (-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-52) (QUOTE (-1109)))) (-2892 (|HasCategory| (-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-52) (QUOTE (-1109))) (|HasCategory| (-52) (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -620) (QUOTE (-542)))) (-12 (|HasCategory| (-52) (QUOTE (-1109))) (|HasCategory| (-52) (LIST (QUOTE -313) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-1186) (QUOTE (-856))) (|HasCategory| (-52) (QUOTE (-1109))) (-2892 (|HasCategory| (-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-52) (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-52) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -619) (QUOTE (-868))))) (-1045) ((|constructor| (NIL "This domain represents `return' expressions.")) (|expression| (((|SpadAst|) $) "\\spad{expression(e)} returns the expression returned by `e'."))) NIL @@ -4183,7 +4183,7 @@ NIL (-1063 |m| |n| R) ((|constructor| (NIL "\\spadtype{RectangularMatrix} is a matrix domain where the number of rows and the number of columns are parameters of the domain.")) (|rectangularMatrix| (($ (|Matrix| |#3|)) "\\spad{rectangularMatrix(m)} converts a matrix of type \\spadtype{Matrix} to a matrix of type \\spad{RectangularMatrix}."))) ((-4452 . T) (-4447 . T) (-4446 . T)) -((|HasCategory| |#3| (QUOTE (-174))) (-2895 (-12 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (LIST (QUOTE -313) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-368))) (|HasCategory| |#3| (LIST (QUOTE -313) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-1109))) (|HasCategory| |#3| (LIST (QUOTE -313) (|devaluate| |#3|))))) (|HasCategory| |#3| (LIST (QUOTE -620) (QUOTE (-542)))) (-2895 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-368)))) (|HasCategory| |#3| (QUOTE (-368))) (|HasCategory| |#3| (QUOTE (-1109))) (|HasCategory| |#3| (QUOTE (-311))) (|HasCategory| |#3| (QUOTE (-562))) (-12 (|HasCategory| |#3| (QUOTE (-1109))) (|HasCategory| |#3| (LIST (QUOTE -313) (|devaluate| |#3|)))) (|HasCategory| |#3| (LIST (QUOTE -619) (QUOTE (-868))))) +((|HasCategory| |#3| (QUOTE (-174))) (-2892 (-12 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (LIST (QUOTE -313) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-368))) (|HasCategory| |#3| (LIST (QUOTE -313) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-1109))) (|HasCategory| |#3| (LIST (QUOTE -313) (|devaluate| |#3|))))) (|HasCategory| |#3| (LIST (QUOTE -620) (QUOTE (-542)))) (-2892 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-368)))) (|HasCategory| |#3| (QUOTE (-368))) (|HasCategory| |#3| (QUOTE (-1109))) (|HasCategory| |#3| (QUOTE (-311))) (|HasCategory| |#3| (QUOTE (-562))) (-12 (|HasCategory| |#3| (QUOTE (-1109))) (|HasCategory| |#3| (LIST (QUOTE -313) (|devaluate| |#3|)))) (|HasCategory| |#3| (LIST (QUOTE -619) (QUOTE (-868))))) (-1064 |m| |n| R1 |Row1| |Col1| M1 R2 |Row2| |Col2| M2) ((|constructor| (NIL "\\spadtype{RectangularMatrixCategoryFunctions2} provides functions between two matrix domains. The functions provided are \\spadfun{map} and \\spadfun{reduce}.")) (|reduce| ((|#7| (|Mapping| |#7| |#3| |#7|) |#6| |#7|) "\\spad{reduce(f,m,r)} returns a matrix \\spad{n} where \\spad{n[i,j] = f(m[i,j],r)} for all indices spad{\\spad{i}} and \\spad{j}.")) (|map| ((|#10| (|Mapping| |#7| |#3|) |#6|) "\\spad{map(f,m)} applies the function \\spad{f} to the elements of the matrix \\spad{m}."))) NIL @@ -4219,7 +4219,7 @@ NIL (-1072) ((|constructor| (NIL "\\axiomType{RoutinesTable} implements a database and associated tuning mechanisms for a set of known NAG routines")) (|recoverAfterFail| (((|Union| (|String|) "failed") $ (|String|) (|Integer|)) "\\spad{recoverAfterFail(routs,routineName,ifailValue)} acts on the instructions given by the ifail list")) (|showTheRoutinesTable| (($) "\\spad{showTheRoutinesTable()} returns the current table of NAG routines.")) (|deleteRoutine!| (($ $ (|Symbol|)) "\\spad{deleteRoutine!(R,s)} destructively deletes the given routine from the current database of NAG routines")) (|getExplanations| (((|List| (|String|)) $ (|String|)) "\\spad{getExplanations(R,s)} gets the explanations of the output parameters for the given NAG routine.")) (|getMeasure| (((|Float|) $ (|Symbol|)) "\\spad{getMeasure(R,s)} gets the current value of the maximum measure for the given NAG routine.")) (|changeMeasure| (($ $ (|Symbol|) (|Float|)) "\\spad{changeMeasure(R,s,newValue)} changes the maximum value for a measure of the given NAG routine.")) (|changeThreshhold| (($ $ (|Symbol|) (|Float|)) "\\spad{changeThreshhold(R,s,newValue)} changes the value below which,{} given a NAG routine generating a higher measure,{} the routines will make no attempt to generate a measure.")) (|selectMultiDimensionalRoutines| (($ $) "\\spad{selectMultiDimensionalRoutines(R)} chooses only those routines from the database which are designed for use with multi-dimensional expressions")) (|selectNonFiniteRoutines| (($ $) "\\spad{selectNonFiniteRoutines(R)} chooses only those routines from the database which are designed for use with non-finite expressions.")) (|selectSumOfSquaresRoutines| (($ $) "\\spad{selectSumOfSquaresRoutines(R)} chooses only those routines from the database which are designed for use with sums of squares")) (|selectFiniteRoutines| (($ $) "\\spad{selectFiniteRoutines(R)} chooses only those routines from the database which are designed for use with finite expressions")) (|selectODEIVPRoutines| (($ $) "\\spad{selectODEIVPRoutines(R)} chooses only those routines from the database which are for the solution of ODE\\spad{'s}")) (|selectPDERoutines| (($ $) "\\spad{selectPDERoutines(R)} chooses only those routines from the database which are for the solution of PDE\\spad{'s}")) (|selectOptimizationRoutines| (($ $) "\\spad{selectOptimizationRoutines(R)} chooses only those routines from the database which are for integration")) (|selectIntegrationRoutines| (($ $) "\\spad{selectIntegrationRoutines(R)} chooses only those routines from the database which are for integration")) (|routines| (($) "\\spad{routines()} initialises a database of known NAG routines")) (|concat| (($ $ $) "\\spad{concat(x,y)} merges two tables \\spad{x} and \\spad{y}"))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| (-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2107) (QUOTE (-1186))) (LIST (QUOTE |:|) (QUOTE -2340) (QUOTE (-52))))))) (-2895 (|HasCategory| (-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-52) (QUOTE (-1109)))) (-2895 (|HasCategory| (-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-52) (QUOTE (-1109))) (|HasCategory| (-52) (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -620) (QUOTE (-542)))) (-12 (|HasCategory| (-52) (QUOTE (-1109))) (|HasCategory| (-52) (LIST (QUOTE -313) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-1186) (QUOTE (-856))) (|HasCategory| (-52) (QUOTE (-1109))) (-2895 (|HasCategory| (-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-52) (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-52) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| (-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2106) (QUOTE (-1186))) (LIST (QUOTE |:|) (QUOTE -2340) (QUOTE (-52))))))) (-2892 (|HasCategory| (-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-52) (QUOTE (-1109)))) (-2892 (|HasCategory| (-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-52) (QUOTE (-1109))) (|HasCategory| (-52) (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -620) (QUOTE (-542)))) (-12 (|HasCategory| (-52) (QUOTE (-1109))) (|HasCategory| (-52) (LIST (QUOTE -313) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) (QUOTE (-1109))) (|HasCategory| (-1186) (QUOTE (-856))) (|HasCategory| (-52) (QUOTE (-1109))) (-2892 (|HasCategory| (-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-52) (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-52) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) (LIST (QUOTE -619) (QUOTE (-868))))) (-1073 S R E V) ((|constructor| (NIL "A category for general multi-variate polynomials with coefficients in a ring,{} variables in an ordered set,{} and exponents from an ordered abelian monoid,{} with a \\axiomOp{sup} operation. When not constant,{} such a polynomial is viewed as a univariate polynomial in its main variable \\spad{w}. \\spad{r}. \\spad{t}. to the total ordering on the elements in the ordered set,{} so that some operations usually defined for univariate polynomials make sense here.")) (|mainSquareFreePart| (($ $) "\\axiom{mainSquareFreePart(\\spad{p})} returns the square free part of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|mainPrimitivePart| (($ $) "\\axiom{mainPrimitivePart(\\spad{p})} returns the primitive part of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|mainContent| (($ $) "\\axiom{mainContent(\\spad{p})} returns the content of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|primitivePart!| (($ $) "\\axiom{primitivePart!(\\spad{p})} replaces \\axiom{\\spad{p}} by its primitive part.")) (|gcd| ((|#2| |#2| $) "\\axiom{\\spad{gcd}(\\spad{r},{}\\spad{p})} returns the \\spad{gcd} of \\axiom{\\spad{r}} and the content of \\axiom{\\spad{p}}.")) (|nextsubResultant2| (($ $ $ $ $) "\\axiom{nextsubResultant2(\\spad{p},{}\\spad{q},{}\\spad{z},{}\\spad{s})} is the multivariate version of the operation \\axiomOpFrom{next_sousResultant2}{PseudoRemainderSequence} from the \\axiomType{PseudoRemainderSequence} constructor.")) (|LazardQuotient2| (($ $ $ $ (|NonNegativeInteger|)) "\\axiom{LazardQuotient2(\\spad{p},{}a,{}\\spad{b},{}\\spad{n})} returns \\axiom{(a**(\\spad{n}-1) * \\spad{p}) exquo \\spad{b**}(\\spad{n}-1)} assuming that this quotient does not fail.")) (|LazardQuotient| (($ $ $ (|NonNegativeInteger|)) "\\axiom{LazardQuotient(a,{}\\spad{b},{}\\spad{n})} returns \\axiom{a**n exquo \\spad{b**}(\\spad{n}-1)} assuming that this quotient does not fail.")) (|lastSubResultant| (($ $ $) "\\axiom{lastSubResultant(a,{}\\spad{b})} returns the last non-zero subresultant of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}}.")) (|subResultantChain| (((|List| $) $ $) "\\axiom{subResultantChain(a,{}\\spad{b})},{} where \\axiom{a} and \\axiom{\\spad{b}} are not contant polynomials with the same main variable,{} returns the subresultant chain of \\axiom{a} and \\axiom{\\spad{b}}.")) (|resultant| (($ $ $) "\\axiom{resultant(a,{}\\spad{b})} computes the resultant of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}}.")) (|halfExtendedSubResultantGcd2| (((|Record| (|:| |gcd| $) (|:| |coef2| $)) $ $) "\\axiom{halfExtendedSubResultantGcd2(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}\\spad{cb}]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}\\spad{cb}]} otherwise produces an error.")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{halfExtendedSubResultantGcd1(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}\\spad{cb}]} otherwise produces an error.")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[ca,{}\\spad{cb},{}\\spad{r}]} such that \\axiom{\\spad{r}} is \\axiom{subResultantGcd(a,{}\\spad{b})} and we have \\axiom{ca * a + \\spad{cb} * \\spad{cb} = \\spad{r}} .")) (|subResultantGcd| (($ $ $) "\\axiom{subResultantGcd(a,{}\\spad{b})} computes a \\spad{gcd} of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}} with coefficients in the fraction field of the polynomial ring generated by their other variables over \\axiom{\\spad{R}}.")) (|exactQuotient!| (($ $ $) "\\axiom{exactQuotient!(a,{}\\spad{b})} replaces \\axiom{a} by \\axiom{exactQuotient(a,{}\\spad{b})}") (($ $ |#2|) "\\axiom{exactQuotient!(\\spad{p},{}\\spad{r})} replaces \\axiom{\\spad{p}} by \\axiom{exactQuotient(\\spad{p},{}\\spad{r})}.")) (|exactQuotient| (($ $ $) "\\axiom{exactQuotient(a,{}\\spad{b})} computes the exact quotient of \\axiom{a} by \\axiom{\\spad{b}},{} which is assumed to be a divisor of \\axiom{a}. No error is returned if this exact quotient fails!") (($ $ |#2|) "\\axiom{exactQuotient(\\spad{p},{}\\spad{r})} computes the exact quotient of \\axiom{\\spad{p}} by \\axiom{\\spad{r}},{} which is assumed to be a divisor of \\axiom{\\spad{p}}. No error is returned if this exact quotient fails!")) (|primPartElseUnitCanonical!| (($ $) "\\axiom{primPartElseUnitCanonical!(\\spad{p})} replaces \\axiom{\\spad{p}} by \\axiom{primPartElseUnitCanonical(\\spad{p})}.")) (|primPartElseUnitCanonical| (($ $) "\\axiom{primPartElseUnitCanonical(\\spad{p})} returns \\axiom{primitivePart(\\spad{p})} if \\axiom{\\spad{R}} is a \\spad{gcd}-domain,{} otherwise \\axiom{unitCanonical(\\spad{p})}.")) (|convert| (($ (|Polynomial| |#2|)) "\\axiom{convert(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}},{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}.") (($ (|Polynomial| (|Integer|))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}") (($ (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}.")) (|retract| (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.")) (|retractIfCan| (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.")) (|initiallyReduce| (($ $ $) "\\axiom{initiallyReduce(a,{}\\spad{b})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{initiallyReduced?(\\spad{r},{}\\spad{b})} holds and there exists an integer \\axiom{\\spad{e}} such that \\axiom{init(\\spad{b})^e a - \\spad{r}} is zero modulo \\axiom{\\spad{b}}.")) (|headReduce| (($ $ $) "\\axiom{headReduce(a,{}\\spad{b})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{headReduced?(\\spad{r},{}\\spad{b})} holds and there exists an integer \\axiom{\\spad{e}} such that \\axiom{init(\\spad{b})^e a - \\spad{r}} is zero modulo \\axiom{\\spad{b}}.")) (|lazyResidueClass| (((|Record| (|:| |polnum| $) (|:| |polden| $) (|:| |power| (|NonNegativeInteger|))) $ $) "\\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{p},{}\\spad{q},{}\\spad{n}]} where \\axiom{\\spad{p} / q**n} represents the residue class of \\axiom{a} modulo \\axiom{\\spad{b}} and \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{q}} is \\axiom{init(\\spad{b})}.")) (|monicModulo| (($ $ $) "\\axiom{monicModulo(a,{}\\spad{b})} computes \\axiom{a mod \\spad{b}},{} if \\axiom{\\spad{b}} is monic as univariate polynomial in its main variable.")) (|pseudoDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{pseudoDivide(a,{}\\spad{b})} computes \\axiom{[pquo(a,{}\\spad{b}),{}prem(a,{}\\spad{b})]},{} both polynomials viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}},{} if \\axiom{\\spad{b}} is not a constant polynomial.")) (|lazyPseudoDivide| (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $ |#4|) "\\axiom{lazyPseudoDivide(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b},{}\\spad{v})},{} \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b},{}\\spad{v})} and \\axiom{\\spad{q}} is the pseudo-quotient computed in this lazy pseudo-division.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}] = lazyPremWithDefault(a,{}\\spad{b})} and \\axiom{\\spad{q}} is the pseudo-quotient computed in this lazy pseudo-division.")) (|lazyPremWithDefault| (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $ |#4|) "\\axiom{lazyPremWithDefault(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b},{}\\spad{v})} and \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b},{}\\spad{v})}.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $) "\\axiom{lazyPremWithDefault(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b})} and \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b})}.")) (|lazyPquo| (($ $ $ |#4|) "\\axiom{lazyPquo(a,{}\\spad{b},{}\\spad{v})} returns the polynomial \\axiom{\\spad{q}} such that \\axiom{lazyPseudoDivide(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}.") (($ $ $) "\\axiom{lazyPquo(a,{}\\spad{b})} returns the polynomial \\axiom{\\spad{q}} such that \\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}.")) (|lazyPrem| (($ $ $ |#4|) "\\axiom{lazyPrem(a,{}\\spad{b},{}\\spad{v})} returns the polynomial \\axiom{\\spad{r}} reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} viewed as univariate polynomials in the variable \\axiom{\\spad{v}} such that \\axiom{\\spad{b}} divides \\axiom{init(\\spad{b})^e a - \\spad{r}} where \\axiom{\\spad{e}} is the number of steps of this pseudo-division.") (($ $ $) "\\axiom{lazyPrem(a,{}\\spad{b})} returns the polynomial \\axiom{\\spad{r}} reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and such that \\axiom{\\spad{b}} divides \\axiom{init(\\spad{b})^e a - \\spad{r}} where \\axiom{\\spad{e}} is the number of steps of this pseudo-division.")) (|pquo| (($ $ $ |#4|) "\\axiom{pquo(a,{}\\spad{b},{}\\spad{v})} computes the pseudo-quotient of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in \\axiom{\\spad{v}}.") (($ $ $) "\\axiom{pquo(a,{}\\spad{b})} computes the pseudo-quotient of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}}.")) (|prem| (($ $ $ |#4|) "\\axiom{prem(a,{}\\spad{b},{}\\spad{v})} computes the pseudo-remainder of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in \\axiom{\\spad{v}}.") (($ $ $) "\\axiom{prem(a,{}\\spad{b})} computes the pseudo-remainder of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}}.")) (|normalized?| (((|Boolean|) $ (|List| $)) "\\axiom{normalized?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{normalized?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{normalized?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{a} and its iterated initials have degree zero \\spad{w}.\\spad{r}.\\spad{t}. the main variable of \\axiom{\\spad{b}}")) (|initiallyReduced?| (((|Boolean|) $ (|List| $)) "\\axiom{initiallyReduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{initiallyReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{initiallyReduced?(a,{}\\spad{b})} returns \\spad{false} iff there exists an iterated initial of \\axiom{a} which is not reduced \\spad{w}.\\spad{r}.\\spad{t} \\axiom{\\spad{b}}.")) (|headReduced?| (((|Boolean|) $ (|List| $)) "\\axiom{headReduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{headReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{headReduced?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{degree(head(a),{}mvar(\\spad{b})) < mdeg(\\spad{b})}.")) (|reduced?| (((|Boolean|) $ (|List| $)) "\\axiom{reduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{reduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{reduced?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{degree(a,{}mvar(\\spad{b})) < mdeg(\\spad{b})}.")) (|supRittWu?| (((|Boolean|) $ $) "\\axiom{supRittWu?(a,{}\\spad{b})} returns \\spad{true} if \\axiom{a} is greater than \\axiom{\\spad{b}} \\spad{w}.\\spad{r}.\\spad{t}. the Ritt and Wu Wen Tsun ordering using the refinement of Lazard.")) (|infRittWu?| (((|Boolean|) $ $) "\\axiom{infRittWu?(a,{}\\spad{b})} returns \\spad{true} if \\axiom{a} is less than \\axiom{\\spad{b}} \\spad{w}.\\spad{r}.\\spad{t}. the Ritt and Wu Wen Tsun ordering using the refinement of Lazard.")) (|RittWuCompare| (((|Union| (|Boolean|) "failed") $ $) "\\axiom{RittWuCompare(a,{}\\spad{b})} returns \\axiom{\"failed\"} if \\axiom{a} and \\axiom{\\spad{b}} have same rank \\spad{w}.\\spad{r}.\\spad{t}. Ritt and Wu Wen Tsun ordering using the refinement of Lazard,{} otherwise returns \\axiom{infRittWu?(a,{}\\spad{b})}.")) (|mainMonomials| (((|List| $) $) "\\axiom{mainMonomials(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns [1],{} otherwise returns the list of the monomials of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mainCoefficients| (((|List| $) $) "\\axiom{mainCoefficients(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns [\\spad{p}],{} otherwise returns the list of the coefficients of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|leastMonomial| (($ $) "\\axiom{leastMonomial(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{1},{} otherwise,{} the monomial of \\axiom{\\spad{p}} with lowest degree,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mainMonomial| (($ $) "\\axiom{mainMonomial(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{1},{} otherwise,{} \\axiom{mvar(\\spad{p})} raised to the power \\axiom{mdeg(\\spad{p})}.")) (|quasiMonic?| (((|Boolean|) $) "\\axiom{quasiMonic?(\\spad{p})} returns \\spad{false} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns \\spad{true} iff the initial of \\axiom{\\spad{p}} lies in the base ring \\axiom{\\spad{R}}.")) (|monic?| (((|Boolean|) $) "\\axiom{monic?(\\spad{p})} returns \\spad{false} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns \\spad{true} iff \\axiom{\\spad{p}} is monic as a univariate polynomial in its main variable.")) (|reductum| (($ $ |#4|) "\\axiom{reductum(\\spad{p},{}\\spad{v})} returns the reductum of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in \\axiom{\\spad{v}}.")) (|leadingCoefficient| (($ $ |#4|) "\\axiom{leadingCoefficient(\\spad{p},{}\\spad{v})} returns the leading coefficient of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as A univariate polynomial in \\axiom{\\spad{v}}.")) (|deepestInitial| (($ $) "\\axiom{deepestInitial(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns the last term of \\axiom{iteratedInitials(\\spad{p})}.")) (|iteratedInitials| (((|List| $) $) "\\axiom{iteratedInitials(\\spad{p})} returns \\axiom{[]} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns the list of the iterated initials of \\axiom{\\spad{p}}.")) (|deepestTail| (($ $) "\\axiom{deepestTail(\\spad{p})} returns \\axiom{0} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns tail(\\spad{p}),{} if \\axiom{tail(\\spad{p})} belongs to \\axiom{\\spad{R}} or \\axiom{mvar(tail(\\spad{p})) < mvar(\\spad{p})},{} otherwise returns \\axiom{deepestTail(tail(\\spad{p}))}.")) (|tail| (($ $) "\\axiom{tail(\\spad{p})} returns its reductum,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|head| (($ $) "\\axiom{head(\\spad{p})} returns \\axiom{\\spad{p}} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its leading term (monomial in the AXIOM sense),{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|init| (($ $) "\\axiom{init(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its leading coefficient,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mdeg| (((|NonNegativeInteger|) $) "\\axiom{mdeg(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{0},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{0},{} otherwise,{} returns the degree of \\axiom{\\spad{p}} in its main variable.")) (|mvar| ((|#4| $) "\\axiom{mvar(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its main variable \\spad{w}. \\spad{r}. \\spad{t}. to the total ordering on the elements in \\axiom{\\spad{V}}."))) NIL @@ -4287,7 +4287,7 @@ NIL (-1089 R UP M) ((|constructor| (NIL "Domain which represents simple algebraic extensions of arbitrary rings. The first argument to the domain,{} \\spad{R},{} is the underlying ring,{} the second argument is a domain of univariate polynomials over \\spad{K},{} while the last argument specifies the defining minimal polynomial. The elements of the domain are canonically represented as polynomials of degree less than that of the minimal polynomial with coefficients in \\spad{R}. The second argument is both the type of the third argument and the underlying representation used by \\spadtype{SAE} itself."))) ((-4445 |has| |#1| (-368)) (-4450 |has| |#1| (-368)) (-4444 |has| |#1| (-368)) ((-4454 "*") . T) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-354))) (-2895 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-354)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-373))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-235))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (QUOTE (-354)))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186))))) (-12 (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))))) (|HasCategory| |#1| (LIST (QUOTE -645) (QUOTE (-570)))) (-2895 (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (-12 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186))))) (-12 (|HasCategory| |#1| (QUOTE (-235))) (|HasCategory| |#1| (QUOTE (-368))))) +((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-354))) (-2892 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-354)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-373))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-235))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (QUOTE (-354)))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186))))) (-12 (|HasCategory| |#1| (QUOTE (-354))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))))) (|HasCategory| |#1| (LIST (QUOTE -645) (QUOTE (-570)))) (-2892 (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (-12 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186))))) (-12 (|HasCategory| |#1| (QUOTE (-235))) (|HasCategory| |#1| (QUOTE (-368))))) (-1090 UP SAE UPA) ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in an algebraic extension of \\spadtype{Fraction Polynomial Integer}.")) (|factor| (((|Factored| |#3|) |#3|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p}."))) NIL @@ -4315,7 +4315,7 @@ NIL (-1096 R) ((|constructor| (NIL "\\spadtype{SequentialDifferentialPolynomial} implements an ordinary differential polynomial ring in arbitrary number of differential indeterminates,{} with coefficients in a ring. The ranking on the differential indeterminate is sequential. \\blankline"))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4450 |has| |#1| (-6 -4450)) (-4447 . T) (-4446 . T) (-4449 . T)) -((|HasCategory| |#1| (QUOTE (-916))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-916)))) (-2895 (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-916)))) (-2895 (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-174))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasCategory| (-1097 (-1186)) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-384))))) (-12 (|HasCategory| (-1097 (-1186)) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-570))))) (-12 (|HasCategory| (-1097 (-1186)) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384)))))) (-12 (|HasCategory| (-1097 (-1186)) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570)))))) (-12 (|HasCategory| (-1097 (-1186)) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542))))) (|HasCategory| |#1| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (-2895 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-235))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasAttribute| |#1| (QUOTE -4450)) (|HasCategory| |#1| (QUOTE (-458))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (-2895 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-916))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-916)))) (-2892 (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-916)))) (-2892 (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-174))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasCategory| (-1097 (-1186)) (LIST (QUOTE -893) (QUOTE (-384)))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-384))))) (-12 (|HasCategory| (-1097 (-1186)) (LIST (QUOTE -893) (QUOTE (-570)))) (|HasCategory| |#1| (LIST (QUOTE -893) (QUOTE (-570))))) (-12 (|HasCategory| (-1097 (-1186)) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384)))))) (-12 (|HasCategory| (-1097 (-1186)) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570)))))) (-12 (|HasCategory| (-1097 (-1186)) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542))))) (|HasCategory| |#1| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (-2892 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-235))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasAttribute| |#1| (QUOTE -4450)) (|HasCategory| |#1| (QUOTE (-458))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-146))))) (-1097 S) ((|constructor| (NIL "\\spadtype{OrderlyDifferentialVariable} adds a commonly used sequential ranking to the set of derivatives of an ordered list of differential indeterminates. A sequential ranking is a ranking \\spadfun{<} of the derivatives with the property that for any derivative \\spad{v},{} there are only a finite number of derivatives \\spad{u} with \\spad{u} \\spadfun{<} \\spad{v}. This domain belongs to \\spadtype{DifferentialVariableCategory}. It defines \\spadfun{weight} to be just \\spadfun{order},{} and it defines a sequential ranking \\spadfun{<} on derivatives \\spad{u} by the lexicographic order on the pair (\\spadfun{variable}(\\spad{u}),{} \\spadfun{order}(\\spad{u}))."))) NIL @@ -4375,7 +4375,7 @@ NIL (-1111 S) ((|constructor| (NIL "A set over a domain \\spad{D} models the usual mathematical notion of a finite set of elements from \\spad{D}. Sets are unordered collections of distinct elements (that is,{} order and duplication does not matter). The notation \\spad{set [a,b,c]} can be used to create a set and the usual operations such as union and intersection are available to form new sets. In our implementation,{} \\Language{} maintains the entries in sorted order. Specifically,{} the parts function returns the entries as a list in ascending order and the extract operation returns the maximum entry. Given two sets \\spad{s} and \\spad{t} where \\spad{\\#s = m} and \\spad{\\#t = n},{} the complexity of \\indented{2}{\\spad{s = t} is \\spad{O(min(n,m))}} \\indented{2}{\\spad{s < t} is \\spad{O(max(n,m))}} \\indented{2}{\\spad{union(s,t)},{} \\spad{intersect(s,t)},{} \\spad{minus(s,t)},{} \\spad{symmetricDifference(s,t)} is \\spad{O(max(n,m))}} \\indented{2}{\\spad{member(x,t)} is \\spad{O(n log n)}} \\indented{2}{\\spad{insert(x,t)} and \\spad{remove(x,t)} is \\spad{O(n)}}"))) ((-4452 . T) (-4442 . T) (-4453 . 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(|elt| (($ $ (|List| (|Integer|))) "\\spad{elt((a1,...,an), [i1,...,im])} returns \\spad{(a_i1,...,a_im)}.") (($ $ (|Integer|)) "\\spad{elt((a1,...,an), i)} returns \\spad{ai}.")) (|#| (((|Integer|) $) "\\spad{\\#((a1,...,an))} returns \\spad{n}.")) (|cdr| (($ $) "\\spad{cdr((a1,...,an))} returns \\spad{(a2,...,an)}.")) (|car| (($ $) "\\spad{car((a1,...,an))} returns a1.")) (|expr| ((|#5| $) "\\spad{expr(s)} returns \\spad{s} as an element of Expr; Error: if \\spad{s} is not an atom that also belongs to Expr.")) (|float| ((|#4| $) "\\spad{float(s)} returns \\spad{s} as an element of \\spad{Flt}; Error: if \\spad{s} is not an atom that also belongs to \\spad{Flt}.")) (|integer| ((|#3| $) "\\spad{integer(s)} returns \\spad{s} as an element of Int. Error: if \\spad{s} is not an atom that also belongs to Int.")) (|symbol| ((|#2| $) "\\spad{symbol(s)} returns \\spad{s} as an element of \\spad{Sym}. Error: if \\spad{s} is not an atom that also belongs to \\spad{Sym}.")) (|string| ((|#1| $) "\\spad{string(s)} returns \\spad{s} as an element of \\spad{Str}. Error: if \\spad{s} is not an atom that also belongs to \\spad{Str}.")) (|destruct| (((|List| $) $) "\\spad{destruct((a1,...,an))} returns the list [a1,{}...,{}an].")) (|float?| (((|Boolean|) $) "\\spad{float?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Flt}.")) (|integer?| (((|Boolean|) $) "\\spad{integer?(s)} is \\spad{true} if \\spad{s} is an atom and belong to Int.")) (|symbol?| (((|Boolean|) $) "\\spad{symbol?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Sym}.")) (|string?| (((|Boolean|) $) "\\spad{string?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Str}.")) (|list?| (((|Boolean|) $) "\\spad{list?(s)} is \\spad{true} if \\spad{s} is a Lisp list,{} possibly ().")) (|pair?| (((|Boolean|) $) "\\spad{pair?(s)} is \\spad{true} if \\spad{s} has is a non-null Lisp list.")) 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|#3| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#3| (QUOTE (-1109)))) (|HasAttribute| |#3| (QUOTE -4449)) (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#3| (QUOTE (-1109))) (|HasCategory| |#3| (LIST (QUOTE -313) (|devaluate| |#3|))))) (-1123 R |x|) ((|constructor| (NIL "This package produces functions for counting etc. real roots of univariate polynomials in \\spad{x} over \\spad{R},{} which must be an OrderedIntegralDomain")) (|countRealRootsMultiple| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{countRealRootsMultiple(p)} says how many real roots \\spad{p} has,{} counted with multiplicity")) (|SturmHabichtMultiple| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtMultiple(p1,p2)} computes \\spad{c_}{+}\\spad{-c_}{-} where \\spad{c_}{+} is the number of real roots of \\spad{p1} with p2>0 and \\spad{c_}{-} is the number of real roots of \\spad{p1} with p2<0. If p2=1 what you get is the number of real roots of \\spad{p1}.")) (|countRealRoots| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{countRealRoots(p)} says how many real roots \\spad{p} has")) (|SturmHabicht| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabicht(p1,p2)} computes \\spad{c_}{+}\\spad{-c_}{-} where \\spad{c_}{+} is the number of real roots of \\spad{p1} with p2>0 and \\spad{c_}{-} is the number of real roots of \\spad{p1} with p2<0. If p2=1 what you get is the number of real roots of \\spad{p1}.")) (|SturmHabichtCoefficients| (((|List| |#1|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtCoefficients(p1,p2)} computes the principal Sturm-Habicht coefficients of \\spad{p1} and \\spad{p2}")) (|SturmHabichtSequence| (((|List| (|UnivariatePolynomial| |#2| |#1|)) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtSequence(p1,p2)} computes the Sturm-Habicht sequence of \\spad{p1} and \\spad{p2}")) (|subresultantSequence| (((|List| (|UnivariatePolynomial| |#2| |#1|)) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{subresultantSequence(p1,p2)} computes the (standard) subresultant sequence of \\spad{p1} and \\spad{p2}"))) NIL @@ -4467,11 +4467,11 @@ NIL (-1134 R |VarSet|) ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials. 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A Taylor series is represented by a stream of polynomials from the polynomial domain \\spad{SMP}. The \\spad{n}th element of the stream is a form of degree \\spad{n}. SMTS is an internal domain.")) (|fintegrate| (($ (|Mapping| $) |#2| |#1|) "\\spad{fintegrate(f,v,c)} is the integral of \\spad{f()} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.} \\indented{1}{The evaluation of \\spad{f()} is delayed.}")) (|integrate| (($ $ |#2| |#1|) "\\spad{integrate(s,v,c)} is the integral of \\spad{s} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.}")) (|csubst| (((|Mapping| (|Stream| |#3|) |#3|) (|List| |#2|) (|List| (|Stream| |#3|))) "\\spad{csubst(a,b)} is for internal use only")) (* (($ |#3| $) "\\spad{smp*ts} multiplies a TaylorSeries by a monomial \\spad{SMP}.")) (|coerce| (($ |#3|) "\\spad{coerce(poly)} regroups the terms by total degree and forms a series.") (($ |#2|) "\\spad{coerce(var)} converts a variable to a Taylor series")) (|coefficient| ((|#3| $ (|NonNegativeInteger|)) "\\spad{coefficient(s, n)} gives the terms of total degree \\spad{n}."))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4447 . T) (-4446 . T) (-4449 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-368)))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-368)))) (-1136 R E V P) ((|constructor| (NIL "The category of square-free and normalized triangular sets. Thus,{} up to the primitivity axiom of [1],{} these sets are Lazard triangular sets.\\newline References : \\indented{1}{[1] \\spad{D}. LAZARD \"A new method for solving algebraic systems of} \\indented{5}{positive dimension\" Discr. App. Math. 33:147-160,{}1991}"))) ((-4453 . T) (-4452 . T)) @@ -4531,11 +4531,11 @@ NIL (-1150 V C) ((|constructor| (NIL "This domain exports a modest implementation of splitting trees. Spliiting trees are needed when the evaluation of some quantity under some hypothesis requires to split the hypothesis into sub-cases. For instance by adding some new hypothesis on one hand and its negation on another hand. The computations are terminated is a splitting tree \\axiom{a} when \\axiom{status(value(a))} is \\axiom{\\spad{true}}. Thus,{} if for the splitting tree \\axiom{a} the flag \\axiom{status(value(a))} is \\axiom{\\spad{true}},{} then \\axiom{status(value(\\spad{d}))} is \\axiom{\\spad{true}} for any subtree \\axiom{\\spad{d}} of \\axiom{a}. This property of splitting trees is called the termination condition. If no vertex in a splitting tree \\axiom{a} is equal to another,{} \\axiom{a} is said to satisfy the no-duplicates condition. The splitting tree \\axiom{a} will satisfy this condition if nodes are added to \\axiom{a} by mean of \\axiom{splitNodeOf!} and if \\axiom{construct} is only used to create the root of \\axiom{a} with no children.")) (|splitNodeOf!| (($ $ $ (|List| (|SplittingNode| |#1| |#2|)) (|Mapping| (|Boolean|) |#2| |#2|)) "\\axiom{splitNodeOf!(\\spad{l},{}a,{}\\spad{ls},{}sub?)} returns \\axiom{a} where the children list of \\axiom{\\spad{l}} has been set to \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in \\spad{ls} | not subNodeOf?(\\spad{s},{}a,{}sub?)]}. Thus,{} if \\axiom{\\spad{l}} is not a node of \\axiom{a},{} this latter splitting tree is unchanged.") (($ $ $ (|List| (|SplittingNode| |#1| |#2|))) "\\axiom{splitNodeOf!(\\spad{l},{}a,{}\\spad{ls})} returns \\axiom{a} where the children list of \\axiom{\\spad{l}} has been set to \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in \\spad{ls} | not nodeOf?(\\spad{s},{}a)]}. Thus,{} if \\axiom{\\spad{l}} is not a node of \\axiom{a},{} this latter splitting tree is unchanged.")) (|remove!| (($ (|SplittingNode| |#1| |#2|) $) "\\axiom{remove!(\\spad{s},{}a)} replaces a by remove(\\spad{s},{}a)")) (|remove| (($ (|SplittingNode| |#1| |#2|) $) "\\axiom{remove(\\spad{s},{}a)} returns the splitting tree obtained from a by removing every sub-tree \\axiom{\\spad{b}} such that \\axiom{value(\\spad{b})} and \\axiom{\\spad{s}} have the same value,{} condition and status.")) (|subNodeOf?| (((|Boolean|) (|SplittingNode| |#1| |#2|) $ (|Mapping| (|Boolean|) |#2| |#2|)) "\\axiom{subNodeOf?(\\spad{s},{}a,{}sub?)} returns \\spad{true} iff for some node \\axiom{\\spad{n}} in \\axiom{a} we have \\axiom{\\spad{s} = \\spad{n}} or \\axiom{status(\\spad{n})} and \\axiom{subNode?(\\spad{s},{}\\spad{n},{}sub?)}.")) (|nodeOf?| (((|Boolean|) (|SplittingNode| |#1| |#2|) $) "\\axiom{nodeOf?(\\spad{s},{}a)} returns \\spad{true} iff some node of \\axiom{a} is equal to \\axiom{\\spad{s}}")) (|result| (((|List| (|Record| (|:| |val| |#1|) (|:| |tower| |#2|))) $) "\\axiom{result(a)} where \\axiom{\\spad{ls}} is the leaves list of \\axiom{a} returns \\axiom{[[value(\\spad{s}),{}condition(\\spad{s})]\\$\\spad{VT} for \\spad{s} in \\spad{ls}]} if the computations are terminated in \\axiom{a} else an error is produced.")) (|conditions| (((|List| |#2|) $) "\\axiom{conditions(a)} returns the list of the conditions of the leaves of a")) (|construct| (($ |#1| |#2| |#1| (|List| |#2|)) "\\axiom{construct(\\spad{v1},{}\\spad{t},{}\\spad{v2},{}\\spad{lt})} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{[\\spad{v},{}\\spad{t}]\\$\\spad{S}} and with children list given by \\axiom{[[[\\spad{v},{}\\spad{t}]\\$\\spad{S}]\\$\\% for \\spad{s} in \\spad{ls}]}.") (($ |#1| |#2| (|List| (|SplittingNode| |#1| |#2|))) "\\axiom{construct(\\spad{v},{}\\spad{t},{}\\spad{ls})} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{[\\spad{v},{}\\spad{t}]\\$\\spad{S}} and with children list given by \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in \\spad{ls}]}.") (($ |#1| |#2| (|List| $)) "\\axiom{construct(\\spad{v},{}\\spad{t},{}la)} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{[\\spad{v},{}\\spad{t}]\\$\\spad{S}} and with \\axiom{la} as children list.") (($ (|SplittingNode| |#1| |#2|)) "\\axiom{construct(\\spad{s})} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{\\spad{s}} and no children. Thus,{} if the status of \\axiom{\\spad{s}} is \\spad{false},{} \\axiom{[\\spad{s}]} represents the starting point of the evaluation \\axiom{value(\\spad{s})} under the hypothesis \\axiom{condition(\\spad{s})}.")) (|updateStatus!| (($ $) "\\axiom{updateStatus!(a)} returns a where the status of the vertices are updated to satisfy the \"termination condition\".")) (|extractSplittingLeaf| (((|Union| $ "failed") $) "\\axiom{extractSplittingLeaf(a)} returns the left most leaf (as a tree) whose status is \\spad{false} if any,{} else \"failed\" is returned."))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| (-1149 |#1| |#2|) (LIST (QUOTE -313) (LIST (QUOTE -1149) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1149 |#1| |#2|) (QUOTE (-1109)))) (|HasCategory| (-1149 |#1| |#2|) (QUOTE (-1109))) (-2895 (|HasCategory| (-1149 |#1| |#2|) (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| (-1149 |#1| |#2|) (LIST (QUOTE -313) (LIST (QUOTE -1149) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1149 |#1| |#2|) (QUOTE (-1109))))) (|HasCategory| (-1149 |#1| |#2|) (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| (-1149 |#1| |#2|) (LIST (QUOTE -313) (LIST (QUOTE -1149) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1149 |#1| |#2|) (QUOTE (-1109)))) (|HasCategory| (-1149 |#1| |#2|) (QUOTE (-1109))) (-2892 (|HasCategory| (-1149 |#1| |#2|) (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| (-1149 |#1| |#2|) (LIST (QUOTE -313) (LIST (QUOTE -1149) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1149 |#1| |#2|) (QUOTE (-1109))))) (|HasCategory| (-1149 |#1| |#2|) (LIST (QUOTE -619) (QUOTE (-868))))) (-1151 |ndim| R) ((|constructor| (NIL "\\spadtype{SquareMatrix} is a matrix domain of square matrices,{} where the number of rows (= number of columns) is a parameter of the type.")) (|unitsKnown| ((|attribute|) "the invertible matrices are simply the matrices whose determinants are units in the Ring \\spad{R}.")) (|central| ((|attribute|) "the elements of the Ring \\spad{R},{} viewed as diagonal matrices,{} commute with all matrices and,{} indeed,{} are the only matrices which commute with all matrices.")) (|squareMatrix| (($ (|Matrix| |#2|)) "\\spad{squareMatrix(m)} converts a matrix of type \\spadtype{Matrix} to a matrix of type \\spadtype{SquareMatrix}.")) (|transpose| (($ $) "\\spad{transpose(m)} returns the transpose of the matrix \\spad{m}.")) (|new| (($ |#2|) "\\spad{new(c)} constructs a new \\spadtype{SquareMatrix} object of dimension \\spad{ndim} with initial entries equal to \\spad{c}."))) ((-4449 . T) (-4441 |has| |#2| (-6 (-4454 "*"))) (-4452 . T) (-4446 . T) (-4447 . T)) -((|HasCategory| |#2| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#2| (QUOTE (-235))) (|HasAttribute| |#2| (QUOTE (-4454 "*"))) (|HasCategory| |#2| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#2| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-570)))) (-2895 (-12 (|HasCategory| |#2| (QUOTE (-235))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -645) (QUOTE (-570))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -907) (QUOTE (-1186)))))) (|HasCategory| |#2| (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#2| (QUOTE (-311))) (|HasCategory| |#2| (QUOTE (-562))) (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (QUOTE (-368))) (-2895 (|HasAttribute| |#2| (QUOTE (-4454 "*"))) (|HasCategory| |#2| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#2| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#2| (QUOTE (-235)))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) +((|HasCategory| |#2| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#2| (QUOTE (-235))) (|HasAttribute| |#2| (QUOTE (-4454 "*"))) (|HasCategory| |#2| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#2| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (LIST (QUOTE -1047) (QUOTE (-570)))) (-2892 (-12 (|HasCategory| |#2| (QUOTE (-235))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -645) (QUOTE (-570))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -907) (QUOTE (-1186)))))) (|HasCategory| |#2| (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#2| (QUOTE (-311))) (|HasCategory| |#2| (QUOTE (-562))) (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (QUOTE (-368))) (-2892 (|HasAttribute| |#2| (QUOTE (-4454 "*"))) (|HasCategory| |#2| (LIST (QUOTE -645) (QUOTE (-570)))) (|HasCategory| |#2| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#2| (QUOTE (-235)))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) (-1152 S) ((|constructor| (NIL "A string aggregate is a category for strings,{} that is,{} one dimensional arrays of characters.")) (|elt| (($ $ $) "\\spad{elt(s,t)} returns the concatenation of \\spad{s} and \\spad{t}. It is provided to allow juxtaposition of strings to work as concatenation. For example,{} \\axiom{\"smoo\" \"shed\"} returns \\axiom{\"smooshed\"}.")) (|rightTrim| (($ $ (|CharacterClass|)) "\\spad{rightTrim(s,cc)} returns \\spad{s} with all trailing occurences of characters in \\spad{cc} deleted. For example,{} \\axiom{rightTrim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"(abc\"}.") (($ $ (|Character|)) "\\spad{rightTrim(s,c)} returns \\spad{s} with all trailing occurrences of \\spad{c} deleted. For example,{} \\axiom{rightTrim(\" abc \",{} char \" \")} returns \\axiom{\" abc\"}.")) (|leftTrim| (($ $ (|CharacterClass|)) "\\spad{leftTrim(s,cc)} returns \\spad{s} with all leading characters in \\spad{cc} deleted. For example,{} \\axiom{leftTrim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"abc)\"}.") (($ $ (|Character|)) "\\spad{leftTrim(s,c)} returns \\spad{s} with all leading characters \\spad{c} deleted. For example,{} \\axiom{leftTrim(\" abc \",{} char \" \")} returns \\axiom{\"abc \"}.")) (|trim| (($ $ (|CharacterClass|)) "\\spad{trim(s,cc)} returns \\spad{s} with all characters in \\spad{cc} deleted from right and left ends. For example,{} \\axiom{trim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"abc\"}.") (($ $ (|Character|)) "\\spad{trim(s,c)} returns \\spad{s} with all characters \\spad{c} deleted from right and left ends. For example,{} \\axiom{trim(\" abc \",{} char \" \")} returns \\axiom{\"abc\"}.")) (|split| (((|List| $) $ (|CharacterClass|)) "\\spad{split(s,cc)} returns a list of substrings delimited by characters in \\spad{cc}.") (((|List| $) $ (|Character|)) "\\spad{split(s,c)} returns a list of substrings delimited by character \\spad{c}.")) (|coerce| (($ (|Character|)) "\\spad{coerce(c)} returns \\spad{c} as a string \\spad{s} with the character \\spad{c}.")) (|position| (((|Integer|) (|CharacterClass|) $ (|Integer|)) "\\spad{position(cc,t,i)} returns the position \\axiom{\\spad{j} \\spad{>=} \\spad{i}} in \\spad{t} of the first character belonging to \\spad{cc}.") (((|Integer|) $ $ (|Integer|)) "\\spad{position(s,t,i)} returns the position \\spad{j} of the substring \\spad{s} in string \\spad{t},{} where \\axiom{\\spad{j} \\spad{>=} \\spad{i}} is required.")) (|replace| (($ $ (|UniversalSegment| (|Integer|)) $) "\\spad{replace(s,i..j,t)} replaces the substring \\axiom{\\spad{s}(\\spad{i}..\\spad{j})} of \\spad{s} by string \\spad{t}.")) (|match?| (((|Boolean|) $ $ (|Character|)) "\\spad{match?(s,t,c)} tests if \\spad{s} matches \\spad{t} except perhaps for multiple and consecutive occurrences of character \\spad{c}. Typically \\spad{c} is the blank character.")) (|match| (((|NonNegativeInteger|) $ $ (|Character|)) "\\spad{match(p,s,wc)} tests if pattern \\axiom{\\spad{p}} matches subject \\axiom{\\spad{s}} where \\axiom{\\spad{wc}} is a wild card character. If no match occurs,{} the index \\axiom{0} is returned; otheriwse,{} the value returned is the first index of the first character in the subject matching the subject (excluding that matched by an initial wild-card). For example,{} \\axiom{match(\"*to*\",{}\"yorktown\",{}\\spad{\"*\"})} returns \\axiom{5} indicating a successful match starting at index \\axiom{5} of \\axiom{\"yorktown\"}.")) (|substring?| (((|Boolean|) $ $ (|Integer|)) "\\spad{substring?(s,t,i)} tests if \\spad{s} is a substring of \\spad{t} beginning at index \\spad{i}. Note: \\axiom{substring?(\\spad{s},{}\\spad{t},{}0) = prefix?(\\spad{s},{}\\spad{t})}.")) (|suffix?| (((|Boolean|) $ $) "\\spad{suffix?(s,t)} tests if the string \\spad{s} is the final substring of \\spad{t}. Note: \\axiom{suffix?(\\spad{s},{}\\spad{t}) \\spad{==} reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.(\\spad{n} - \\spad{m} + \\spad{i}) for \\spad{i} in 0..maxIndex \\spad{s}])} where \\spad{m} and \\spad{n} denote the maxIndex of \\spad{s} and \\spad{t} respectively.")) (|prefix?| (((|Boolean|) $ $) "\\spad{prefix?(s,t)} tests if the string \\spad{s} is the initial substring of \\spad{t}. Note: \\axiom{prefix?(\\spad{s},{}\\spad{t}) \\spad{==} reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.\\spad{i} for \\spad{i} in 0..maxIndex \\spad{s}])}.")) (|upperCase!| (($ $) "\\spad{upperCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by upper case characters.")) (|upperCase| (($ $) "\\spad{upperCase(s)} returns the string with all characters in upper case.")) (|lowerCase!| (($ $) "\\spad{lowerCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by lower case.")) (|lowerCase| (($ $) "\\spad{lowerCase(s)} returns the string with all characters in lower case."))) NIL @@ -4555,7 +4555,7 @@ NIL (-1156 S) ((|constructor| (NIL "Linked List implementation of a Stack")) (|stack| (($ (|List| |#1|)) "\\spad{stack([x,y,...,z])} creates a stack with first (top) element \\spad{x},{} second element \\spad{y},{}...,{}and last element \\spad{z}."))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (-1157 A S) ((|constructor| (NIL "A stream aggregate is a linear aggregate which possibly has an infinite number of elements. A basic domain constructor which builds stream aggregates is \\spadtype{Stream}. From streams,{} a number of infinite structures such power series can be built. A stream aggregate may also be infinite since it may be cyclic. For example,{} see \\spadtype{DecimalExpansion}.")) (|possiblyInfinite?| (((|Boolean|) $) "\\spad{possiblyInfinite?(s)} tests if the stream \\spad{s} could possibly have an infinite number of elements. Note: for many datatypes,{} \\axiom{possiblyInfinite?(\\spad{s}) = not explictlyFinite?(\\spad{s})}.")) (|explicitlyFinite?| (((|Boolean|) $) "\\spad{explicitlyFinite?(s)} tests if the stream has a finite number of elements,{} and \\spad{false} otherwise. Note: for many datatypes,{} \\axiom{explicitlyFinite?(\\spad{s}) = not possiblyInfinite?(\\spad{s})}."))) NIL @@ -4567,7 +4567,7 @@ NIL (-1159 |Key| |Ent| |dent|) ((|constructor| (NIL "A sparse table has a default entry,{} which is returned if no other value has been explicitly stored for a key."))) ((-4453 . T)) -((-12 (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2107) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2340) (|devaluate| |#2|)))))) (-2895 (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| |#2| (QUOTE (-1109)))) (-2895 (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -620) (QUOTE (-542)))) (-12 (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-856))) (-2895 (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109)))) +((-12 (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2106) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2340) (|devaluate| |#2|)))))) (-2892 (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| |#2| (QUOTE (-1109)))) (-2892 (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -620) (QUOTE (-542)))) (-12 (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-856))) (-2892 (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109)))) (-1160) ((|constructor| (NIL "This domain represents an arithmetic progression iterator syntax.")) (|step| (((|SpadAst|) $) "\\spad{step(i)} returns the Spad AST denoting the step of the arithmetic progression represented by the iterator \\spad{i}.")) (|upperBound| (((|Maybe| (|SpadAst|)) $) "If the set of values assumed by the iteration variable is bounded from above,{} \\spad{upperBound(i)} returns the upper bound. Otherwise,{} its returns \\spad{nothing}.")) (|lowerBound| (((|SpadAst|) $) "\\spad{lowerBound(i)} returns the lower bound on the values assumed by the iteration variable.")) (|iterationVar| (((|Identifier|) $) "\\spad{iterationVar(i)} returns the name of the iterating variable of the arithmetic progression iterator \\spad{i}."))) NIL @@ -4595,7 +4595,7 @@ NIL (-1166 S) ((|constructor| (NIL "A stream is an implementation of an infinite sequence using a list of terms that have been computed and a function closure to compute additional terms when needed.")) (|filterUntil| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{filterUntil(p,s)} returns \\spad{[x0,x1,...,x(n)]} where \\spad{s = [x0,x1,x2,..]} and \\spad{n} is the smallest index such that \\spad{p(xn) = true}.")) (|filterWhile| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{filterWhile(p,s)} returns \\spad{[x0,x1,...,x(n-1)]} where \\spad{s = [x0,x1,x2,..]} and \\spad{n} is the smallest index such that \\spad{p(xn) = false}.")) (|generate| (($ (|Mapping| |#1| |#1|) |#1|) "\\spad{generate(f,x)} creates an infinite stream whose first element is \\spad{x} and whose \\spad{n}th element (\\spad{n > 1}) is \\spad{f} applied to the previous element. Note: \\spad{generate(f,x) = [x,f(x),f(f(x)),...]}.") (($ (|Mapping| |#1|)) "\\spad{generate(f)} creates an infinite stream all of whose elements are equal to \\spad{f()}. Note: \\spad{generate(f) = [f(),f(),f(),...]}.")) (|setrest!| (($ $ (|Integer|) $) "\\spad{setrest!(x,n,y)} sets rest(\\spad{x},{}\\spad{n}) to \\spad{y}. The function will expand cycles if necessary.")) (|showAll?| (((|Boolean|)) "\\spad{showAll?()} returns \\spad{true} if all computed entries of streams will be displayed.")) (|showAllElements| (((|OutputForm|) $) "\\spad{showAllElements(s)} creates an output form which displays all computed elements.")) (|output| (((|Void|) (|Integer|) $) "\\spad{output(n,st)} computes and displays the first \\spad{n} entries of \\spad{st}.")) (|cons| (($ |#1| $) "\\spad{cons(a,s)} returns a stream whose \\spad{first} is \\spad{a} and whose \\spad{rest} is \\spad{s}. Note: \\spad{cons(a,s) = concat(a,s)}.")) (|delay| (($ (|Mapping| $)) "\\spad{delay(f)} creates a stream with a lazy evaluation defined by function \\spad{f}. Caution: This function can only be called in compiled code.")) (|findCycle| (((|Record| (|:| |cycle?| (|Boolean|)) (|:| |prefix| (|NonNegativeInteger|)) (|:| |period| (|NonNegativeInteger|))) (|NonNegativeInteger|) $) "\\spad{findCycle(n,st)} determines if \\spad{st} is periodic within \\spad{n}.")) (|repeating?| (((|Boolean|) (|List| |#1|) $) "\\spad{repeating?(l,s)} returns \\spad{true} if a stream \\spad{s} is periodic with period \\spad{l},{} and \\spad{false} otherwise.")) (|repeating| (($ (|List| |#1|)) "\\spad{repeating(l)} is a repeating stream whose period is the list \\spad{l}.")) (|shallowlyMutable| ((|attribute|) "one may destructively alter a stream by assigning new values to its entries."))) ((-4453 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (-1167) ((|constructor| (NIL "A category for string-like objects")) (|string| (($ (|Integer|)) "\\spad{string(i)} returns the decimal representation of \\spad{i} in a string"))) ((-4453 . T) (-4452 . T)) @@ -4603,11 +4603,11 @@ NIL (-1168) NIL ((-4453 . T) (-4452 . T)) -((-2895 (-12 (|HasCategory| (-145) (QUOTE (-856))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-145) (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145)))))) +((-2892 (-12 (|HasCategory| (-145) (QUOTE (-856))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| (-145) (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| (-145) (QUOTE (-1109))) (|HasCategory| (-145) (LIST (QUOTE -313) (QUOTE (-145)))))) (-1169 |Entry|) ((|constructor| (NIL "This domain provides tables where the keys are strings. A specialized hash function for strings is used."))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 |#1|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 |#1|)) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2107) (QUOTE (-1168))) (LIST (QUOTE |:|) (QUOTE -2340) (|devaluate| |#1|)))))) (-2895 (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 |#1|)) (QUOTE (-1109))) (|HasCategory| |#1| (QUOTE (-1109)))) (-2895 (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 |#1|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 |#1|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 |#1|)) (LIST (QUOTE -620) (QUOTE (-542)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 |#1|)) (QUOTE (-1109))) (|HasCategory| (-1168) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 |#1|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2107 (-1168)) (|:| -2340 |#1|)) (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 |#1|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 |#1|)) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2106) (QUOTE (-1168))) (LIST (QUOTE |:|) (QUOTE -2340) (|devaluate| |#1|)))))) (-2892 (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 |#1|)) (QUOTE (-1109))) (|HasCategory| |#1| (QUOTE (-1109)))) (-2892 (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 |#1|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 |#1|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 |#1|)) (LIST (QUOTE -620) (QUOTE (-542)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 |#1|)) (QUOTE (-1109))) (|HasCategory| (-1168) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 |#1|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2106 (-1168)) (|:| -2340 |#1|)) (LIST (QUOTE -619) (QUOTE (-868))))) (-1170 A) ((|constructor| (NIL "StreamTaylorSeriesOperations implements Taylor series arithmetic,{} where a Taylor series is represented by a stream of its coefficients.")) (|power| (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{power(a,f)} returns the power series \\spad{f} raised to the power \\spad{a}.")) (|lazyGintegrate| (((|Stream| |#1|) (|Mapping| |#1| (|Integer|)) |#1| (|Mapping| (|Stream| |#1|))) "\\spad{lazyGintegrate(f,r,g)} is used for fixed point computations.")) (|mapdiv| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{mapdiv([a0,a1,..],[b0,b1,..])} returns \\spad{[a0/b0,a1/b1,..]}.")) (|powern| (((|Stream| |#1|) (|Fraction| (|Integer|)) (|Stream| |#1|)) "\\spad{powern(r,f)} raises power series \\spad{f} to the power \\spad{r}.")) (|nlde| (((|Stream| |#1|) (|Stream| (|Stream| |#1|))) "\\spad{nlde(u)} solves a first order non-linear differential equation described by \\spad{u} of the form \\spad{[[b<0,0>,b<0,1>,...],[b<1,0>,b<1,1>,.],...]}. the differential equation has the form \\spad{y' = sum(i=0 to infinity,j=0 to infinity,b<i,j>*(x**i)*(y**j))}.")) (|lazyIntegrate| (((|Stream| |#1|) |#1| (|Mapping| (|Stream| |#1|))) "\\spad{lazyIntegrate(r,f)} is a local function used for fixed point computations.")) (|integrate| (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{integrate(r,a)} returns the integral of the power series \\spad{a} with respect to the power series variableintegration where \\spad{r} denotes the constant of integration. Thus \\spad{integrate(a,[a0,a1,a2,...]) = [a,a0,a1/2,a2/3,...]}.")) (|invmultisect| (((|Stream| |#1|) (|Integer|) (|Integer|) (|Stream| |#1|)) "\\spad{invmultisect(a,b,st)} substitutes \\spad{x**((a+b)*n)} for \\spad{x**n} and multiplies by \\spad{x**b}.")) (|multisect| (((|Stream| |#1|) (|Integer|) (|Integer|) (|Stream| |#1|)) "\\spad{multisect(a,b,st)} selects the coefficients of \\spad{x**((a+b)*n+a)},{} and changes them to \\spad{x**n}.")) (|generalLambert| (((|Stream| |#1|) (|Stream| |#1|) (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),a,d)} returns \\spad{f(x**a) + f(x**(a + d)) + f(x**(a + 2 d)) + ...}. \\spad{f(x)} should have zero constant coefficient and \\spad{a} and \\spad{d} should be positive.")) (|evenlambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{evenlambert(st)} computes \\spad{f(x**2) + f(x**4) + f(x**6) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f(x)} is a power series with constant coefficient 1,{} then \\spad{prod(f(x**(2*n)),n=1..infinity) = exp(evenlambert(log(f(x))))}.")) (|oddlambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{oddlambert(st)} computes \\spad{f(x) + f(x**3) + f(x**5) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f}(\\spad{x}) is a power series with constant coefficient 1 then \\spad{prod(f(x**(2*n-1)),n=1..infinity) = exp(oddlambert(log(f(x))))}.")) (|lambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{lambert(st)} computes \\spad{f(x) + f(x**2) + f(x**3) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f(x)} is a power series with constant coefficient 1 then \\spad{prod(f(x**n),n = 1..infinity) = exp(lambert(log(f(x))))}.")) (|addiag| (((|Stream| |#1|) (|Stream| (|Stream| |#1|))) "\\spad{addiag(x)} performs diagonal addition of a stream of streams. if \\spad{x} = \\spad{[[a<0,0>,a<0,1>,..],[a<1,0>,a<1,1>,..],[a<2,0>,a<2,1>,..],..]} and \\spad{addiag(x) = [b<0,b<1>,...], then b<k> = sum(i+j=k,a<i,j>)}.")) (|revert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{revert(a)} computes the inverse of a power series \\spad{a} with respect to composition. the series should have constant coefficient 0 and first order coefficient should be invertible.")) (|lagrange| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{lagrange(g)} produces the power series for \\spad{f} where \\spad{f} is implicitly defined as \\spad{f(z) = z*g(f(z))}.")) (|compose| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{compose(a,b)} composes the power series \\spad{a} with the power series \\spad{b}.")) (|eval| (((|Stream| |#1|) (|Stream| |#1|) |#1|) "\\spad{eval(a,r)} returns a stream of partial sums of the power series \\spad{a} evaluated at the power series variable equal to \\spad{r}.")) (|coerce| (((|Stream| |#1|) |#1|) "\\spad{coerce(r)} converts a ring element \\spad{r} to a stream with one element.")) (|gderiv| (((|Stream| |#1|) (|Mapping| |#1| (|Integer|)) (|Stream| |#1|)) "\\spad{gderiv(f,[a0,a1,a2,..])} returns \\spad{[f(0)*a0,f(1)*a1,f(2)*a2,..]}.")) (|deriv| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{deriv(a)} returns the derivative of the power series with respect to the power series variable. Thus \\spad{deriv([a0,a1,a2,...])} returns \\spad{[a1,2 a2,3 a3,...]}.")) (|mapmult| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{mapmult([a0,a1,..],[b0,b1,..])} returns \\spad{[a0*b0,a1*b1,..]}.")) (|int| (((|Stream| |#1|) |#1|) "\\spad{int(r)} returns [\\spad{r},{}\\spad{r+1},{}\\spad{r+2},{}...],{} where \\spad{r} is a ring element.")) (|oddintegers| (((|Stream| (|Integer|)) (|Integer|)) "\\spad{oddintegers(n)} returns \\spad{[n,n+2,n+4,...]}.")) (|integers| (((|Stream| (|Integer|)) (|Integer|)) "\\spad{integers(n)} returns \\spad{[n,n+1,n+2,...]}.")) (|monom| (((|Stream| |#1|) |#1| (|Integer|)) "\\spad{monom(deg,coef)} is a monomial of degree \\spad{deg} with coefficient \\spad{coef}.")) (|recip| (((|Union| (|Stream| |#1|) "failed") (|Stream| |#1|)) "\\spad{recip(a)} returns the power series reciprocal of \\spad{a},{} or \"failed\" if not possible.")) (/ (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a / b} returns the power series quotient of \\spad{a} by \\spad{b}. An error message is returned if \\spad{b} is not invertible. This function is used in fixed point computations.")) (|exquo| (((|Union| (|Stream| |#1|) "failed") (|Stream| |#1|) (|Stream| |#1|)) "\\spad{exquo(a,b)} returns the power series quotient of \\spad{a} by \\spad{b},{} if the quotient exists,{} and \"failed\" otherwise")) (* (((|Stream| |#1|) (|Stream| |#1|) |#1|) "\\spad{a * r} returns the power series scalar multiplication of \\spad{a} by \\spad{r:} \\spad{[a0,a1,...] * r = [a0 * r,a1 * r,...]}") (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{r * a} returns the power series scalar multiplication of \\spad{r} by \\spad{a}: \\spad{r * [a0,a1,...] = [r * a0,r * a1,...]}") (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a * b} returns the power series (Cauchy) product of \\spad{a} and \\spad{b:} \\spad{[a0,a1,...] * [b0,b1,...] = [c0,c1,...]} where \\spad{ck = sum(i + j = k,ai * bk)}.")) (- (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{- a} returns the power series negative of \\spad{a}: \\spad{- [a0,a1,...] = [- a0,- a1,...]}") (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a - b} returns the power series difference of \\spad{a} and \\spad{b}: \\spad{[a0,a1,..] - [b0,b1,..] = [a0 - b0,a1 - b1,..]}")) (+ (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a + b} returns the power series sum of \\spad{a} and \\spad{b}: \\spad{[a0,a1,..] + [b0,b1,..] = [a0 + b0,a1 + b1,..]}"))) NIL @@ -4638,8 +4638,8 @@ NIL NIL (-1177 |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."))) -(((-4454 "*") -2895 (-1810 (|has| |#1| (-368)) (|has| (-1184 |#1| |#2| |#3|) (-826))) (|has| |#1| (-174)) (-1810 (|has| |#1| (-368)) (|has| (-1184 |#1| |#2| |#3|) (-916)))) (-4445 -2895 (-1810 (|has| |#1| (-368)) (|has| (-1184 |#1| |#2| |#3|) (-826))) (|has| |#1| (-562)) (-1810 (|has| |#1| (-368)) (|has| (-1184 |#1| |#2| |#3|) (-916)))) (-4450 |has| |#1| (-368)) (-4444 |has| |#1| (-368)) (-4446 . T) (-4447 . T) (-4449 . T)) -((-2895 (-12 (|HasCategory| (-1184 |#1| |#2| |#3|) (QUOTE (-826))) (|HasCategory| |#1| (QUOTE (-368)))) (-12 (|HasCategory| (-1184 |#1| |#2| |#3|) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-368)))) (-12 (|HasCategory| (-1184 |#1| |#2| |#3|) (QUOTE (-916))) (|HasCategory| |#1| (QUOTE (-368)))) (-12 (|HasCategory| (-1184 |#1| |#2| |#3|) (QUOTE (-1031))) (|HasCategory| |#1| (QUOTE (-368)))) (-12 (|HasCategory| (-1184 |#1| |#2| |#3|) (QUOTE (-1161))) (|HasCategory| |#1| (QUOTE (-368)))) (-12 (|HasCategory| (-1184 |#1| |#2| |#3|) (LIST (QUOTE -620) (QUOTE (-542)))) (|HasCategory| |#1| (QUOTE (-368)))) (-12 (|HasCategory| (-1184 |#1| |#2| |#3|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-384))))) (|HasCategory| |#1| (QUOTE (-368)))) (-12 (|HasCategory| (-1184 |#1| |#2| |#3|) (LIST (QUOTE -620) (LIST (QUOTE -899) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-368)))) (-12 (|HasCategory| (-1184 |#1| |#2| |#3|) (LIST (QUOTE -290) (LIST (QUOTE -1184) (|devaluate| |#1|) (|devaluate| 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(|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-458))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-1161))) (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasCategory| |#1| (QUOTE (-235))) (|HasAttribute| |#1| (QUOTE -4450)) (|HasCategory| |#1| (QUOTE (-458))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (-2892 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-916)))) (|HasCategory| |#1| (QUOTE (-146))))) (-1183 |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}."))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4450 |has| |#1| (-368)) (-4444 |has| |#1| (-368)) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-174))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|)))) (|HasCategory| (-413 (-570)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-368))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-2895 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasSignature| |#1| (LIST (QUOTE -3802) (LIST (|devaluate| |#1|) (QUOTE (-1186)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (-2895 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-966))) (|HasCategory| |#1| (QUOTE (-1212))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasSignature| |#1| (LIST (QUOTE -2023) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1186))))) (|HasSignature| |#1| (LIST (QUOTE -1755) (LIST (LIST (QUOTE -650) (QUOTE (-1186))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-174))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|)))) (|HasCategory| (-413 (-570)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-368))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-2892 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasSignature| |#1| (LIST (QUOTE -3802) (LIST (|devaluate| |#1|) (QUOTE (-1186)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (-2892 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-966))) (|HasCategory| |#1| (QUOTE (-1212))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasSignature| |#1| (LIST (QUOTE -3170) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1186))))) (|HasSignature| |#1| (LIST (QUOTE -1755) (LIST (LIST (QUOTE -650) (QUOTE (-1186))) (|devaluate| |#1|))))))) (-1184 |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}."))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-562))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-777)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-777)) (|devaluate| |#1|)))) (|HasCategory| (-777) (QUOTE (-1121))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-777))))) (|HasSignature| |#1| (LIST (QUOTE -3802) (LIST (|devaluate| |#1|) (QUOTE (-1186)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-777))))) (|HasCategory| |#1| (QUOTE (-368))) (-2895 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-966))) (|HasCategory| |#1| (QUOTE (-1212))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasSignature| |#1| (LIST (QUOTE -2023) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1186))))) (|HasSignature| |#1| (LIST (QUOTE -1755) (LIST (LIST (QUOTE -650) (QUOTE (-1186))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-562))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-777)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-777)) (|devaluate| |#1|)))) (|HasCategory| (-777) (QUOTE (-1121))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-777))))) (|HasSignature| |#1| (LIST (QUOTE -3802) (LIST (|devaluate| |#1|) (QUOTE (-1186)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-777))))) (|HasCategory| |#1| (QUOTE (-368))) (-2892 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-966))) (|HasCategory| |#1| (QUOTE (-1212))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasSignature| |#1| (LIST (QUOTE -3170) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1186))))) (|HasSignature| |#1| (LIST (QUOTE -1755) (LIST (LIST (QUOTE -650) (QUOTE (-1186))) (|devaluate| |#1|))))))) (-1185) ((|constructor| (NIL "This domain builds representations of boolean expressions for use with the \\axiomType{FortranCode} domain.")) (NOT (($ $) "\\spad{NOT(x)} returns the \\axiomType{Switch} expression representing \\spad{\\~~x}.") (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{NOT(x)} returns the \\axiomType{Switch} expression representing \\spad{\\~~x}.")) (AND (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{AND(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x and y}.")) (EQ (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{EQ(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x = y}.")) (OR (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{OR(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x or y}.")) (GE (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{GE(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x>=y}.")) (LE (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{LE(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x<=y}.")) (GT (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{GT(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x>y}.")) (LT (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{LT(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x<y}.")) 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T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-562))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2895 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-458))) (-12 (|HasCategory| (-980) (QUOTE (-132))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasAttribute| |#1| (QUOTE -4450))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-562))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2892 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-458))) (-12 (|HasCategory| (-980) (QUOTE (-132))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasAttribute| |#1| (QUOTE -4450))) (-1189) ((|constructor| (NIL "Creates and manipulates one global symbol table for FORTRAN code generation,{} containing details of types,{} dimensions,{} and argument lists.")) (|symbolTableOf| (((|SymbolTable|) (|Symbol|) $) "\\spad{symbolTableOf(f,tab)} returns the symbol table of \\spad{f}")) (|argumentListOf| (((|List| (|Symbol|)) (|Symbol|) $) "\\spad{argumentListOf(f,tab)} returns the argument list of \\spad{f}")) (|returnTypeOf| (((|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void")) (|Symbol|) $) "\\spad{returnTypeOf(f,tab)} returns the type of the object returned by \\spad{f}")) (|empty| (($) "\\spad{empty()} creates a new,{} empty symbol table.")) (|printTypes| (((|Void|) (|Symbol|)) "\\spad{printTypes(tab)} produces FORTRAN type declarations from \\spad{tab},{} on the current FORTRAN output stream")) (|printHeader| (((|Void|)) "\\spad{printHeader()} produces the FORTRAN header for the current subprogram in the global symbol table on the current FORTRAN output stream.") (((|Void|) (|Symbol|)) "\\spad{printHeader(f)} produces the FORTRAN header for subprogram \\spad{f} in the global symbol table on the current FORTRAN output stream.") (((|Void|) (|Symbol|) $) "\\spad{printHeader(f,tab)} produces the FORTRAN header for subprogram \\spad{f} in symbol table \\spad{tab} on the current FORTRAN output stream.")) (|returnType!| (((|Void|) (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) "\\spad{returnType!(t)} declares that the return type of he current subprogram in the global symbol table is \\spad{t}.") (((|Void|) (|Symbol|) (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) "\\spad{returnType!(f,t)} declares that the return type of subprogram \\spad{f} in the global symbol table is \\spad{t}.") (((|Void|) (|Symbol|) (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void")) $) "\\spad{returnType!(f,t,tab)} declares that the return type of subprogram \\spad{f} in symbol table \\spad{tab} is \\spad{t}.")) (|argumentList!| (((|Void|) (|List| (|Symbol|))) "\\spad{argumentList!(l)} declares that the argument list for the current subprogram in the global symbol table is \\spad{l}.") (((|Void|) (|Symbol|) (|List| (|Symbol|))) "\\spad{argumentList!(f,l)} declares that the argument list for subprogram \\spad{f} in the global symbol table is \\spad{l}.") (((|Void|) (|Symbol|) (|List| (|Symbol|)) $) "\\spad{argumentList!(f,l,tab)} declares that the argument list for subprogram \\spad{f} in symbol table \\spad{tab} is \\spad{l}.")) (|endSubProgram| (((|Symbol|)) "\\spad{endSubProgram()} asserts that we are no longer processing the current subprogram.")) (|currentSubProgram| (((|Symbol|)) "\\spad{currentSubProgram()} returns the name of the current subprogram being processed")) (|newSubProgram| (((|Void|) (|Symbol|)) "\\spad{newSubProgram(f)} asserts that from now on type declarations are part of subprogram \\spad{f}.")) (|declare!| (((|FortranType|) (|Symbol|) (|FortranType|) (|Symbol|)) "\\spad{declare!(u,t,asp)} declares the parameter \\spad{u} to have type \\spad{t} in \\spad{asp}.") (((|FortranType|) (|Symbol|) (|FortranType|)) "\\spad{declare!(u,t)} declares the parameter \\spad{u} to have type \\spad{t} in the current level of the symbol table.") (((|FortranType|) (|List| (|Symbol|)) (|FortranType|) (|Symbol|) $) "\\spad{declare!(u,t,asp,tab)} declares the parameters \\spad{u} of subprogram \\spad{asp} to have type \\spad{t} in symbol table \\spad{tab}.") (((|FortranType|) (|Symbol|) (|FortranType|) (|Symbol|) $) "\\spad{declare!(u,t,asp,tab)} declares the parameter \\spad{u} of subprogram \\spad{asp} to have type \\spad{t} in symbol table \\spad{tab}.")) (|clearTheSymbolTable| (((|Void|) (|Symbol|)) "\\spad{clearTheSymbolTable(x)} removes the symbol \\spad{x} from the table") (((|Void|)) "\\spad{clearTheSymbolTable()} clears the current symbol table.")) (|showTheSymbolTable| (($) "\\spad{showTheSymbolTable()} returns the current symbol table."))) NIL @@ -4727,7 +4727,7 @@ NIL (-1199 |Key| |Entry|) ((|constructor| (NIL "This is the general purpose table type. The keys are hashed to look up the entries. This creates a \\spadtype{HashTable} if equal for the Key domain is consistent with Lisp EQUAL otherwise an \\spadtype{AssociationList}"))) ((-4452 . T) (-4453 . T)) -((-12 (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2107) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2340) (|devaluate| |#2|)))))) (-2895 (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| |#2| (QUOTE (-1109)))) (-2895 (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -620) (QUOTE (-542)))) (-12 (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#2| (QUOTE (-1109))) (-2895 (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -313) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2106) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2340) (|devaluate| |#2|)))))) (-2892 (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| |#2| (QUOTE (-1109)))) (-2892 (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -620) (QUOTE (-542)))) (-12 (|HasCategory| |#2| (QUOTE (-1109))) (|HasCategory| |#2| (LIST (QUOTE -313) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (QUOTE (-1109))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#2| (QUOTE (-1109))) (-2892 (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#2| (LIST (QUOTE -619) (QUOTE (-868)))) (|HasCategory| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (LIST (QUOTE -619) (QUOTE (-868))))) (-1200 S) ((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: April 17,{} 2010 Date Last Modified: April 17,{} 2010")) (|operator| (($ |#1| (|Arity|)) "\\spad{operator(n,a)} returns an operator named \\spad{n} and with arity \\spad{a}."))) NIL @@ -4783,7 +4783,7 @@ NIL (-1213 S) ((|constructor| (NIL "\\spadtype{Tree(S)} is a basic domains of tree structures. Each tree is either empty or else is a {\\it node} consisting of a value and a list of (sub)trees.")) (|cyclicParents| (((|List| $) $) "\\spad{cyclicParents(t)} returns a list of cycles that are parents of \\spad{t}.")) (|cyclicEqual?| (((|Boolean|) $ $) "\\spad{cyclicEqual?(t1, t2)} tests of two cyclic trees have the same structure.")) (|cyclicEntries| (((|List| $) $) "\\spad{cyclicEntries(t)} returns a list of top-level cycles in tree \\spad{t}.")) (|cyclicCopy| (($ $) "\\spad{cyclicCopy(l)} makes a copy of a (possibly) cyclic tree \\spad{l}.")) (|cyclic?| (((|Boolean|) $) "\\spad{cyclic?(t)} tests if \\spad{t} is a cyclic tree.")) (|tree| (($ |#1|) "\\spad{tree(nd)} creates a tree with value \\spad{nd},{} and no children") (($ (|List| |#1|)) "\\spad{tree(ls)} creates a tree from a list of elements of \\spad{s}.") (($ |#1| (|List| $)) "\\spad{tree(nd,ls)} creates a tree with value \\spad{nd},{} and children \\spad{ls}."))) ((-4453 . T) (-4452 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) +((-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1109))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (-1214 S) ((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}."))) NIL @@ -4815,7 +4815,7 @@ NIL (-1221 |Coef|) ((|constructor| (NIL "\\spadtype{TaylorSeries} is a general multivariate Taylor series domain over the ring Coef and with variables of type Symbol.")) (|fintegrate| (($ (|Mapping| $) (|Symbol|) |#1|) "\\spad{fintegrate(f,v,c)} is the integral of \\spad{f()} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.} \\indented{1}{The evaluation of \\spad{f()} is delayed.}")) (|integrate| (($ $ (|Symbol|) |#1|) "\\spad{integrate(s,v,c)} is the integral of \\spad{s} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.}")) (|coerce| (($ (|Polynomial| |#1|)) "\\spad{coerce(s)} regroups terms of \\spad{s} by total degree \\indented{1}{and forms a series.}") (($ (|Symbol|)) "\\spad{coerce(s)} converts a variable to a Taylor series")) (|coefficient| (((|Polynomial| |#1|) $ (|NonNegativeInteger|)) "\\spad{coefficient(s, n)} gives the terms of total degree \\spad{n}."))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4447 . T) (-4446 . T) (-4449 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-368)))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-368)))) (-1222 |Curve|) ((|constructor| (NIL "\\indented{2}{Package for constructing tubes around 3-dimensional parametric curves.} Domain of tubes around 3-dimensional parametric curves.")) (|tube| (($ |#1| (|List| (|List| (|Point| (|DoubleFloat|)))) (|Boolean|)) "\\spad{tube(c,ll,b)} creates a tube of the domain \\spadtype{TubePlot} from a space curve \\spad{c} of the category \\spadtype{PlottableSpaceCurveCategory},{} a list of lists of points (loops) \\spad{ll} and a boolean \\spad{b} which if \\spad{true} indicates a closed tube,{} or if \\spad{false} an open tube.")) (|setClosed| (((|Boolean|) $ (|Boolean|)) "\\spad{setClosed(t,b)} declares the given tube plot \\spad{t} to be closed if \\spad{b} is \\spad{true},{} or if \\spad{b} is \\spad{false},{} \\spad{t} is set to be open.")) (|open?| (((|Boolean|) $) "\\spad{open?(t)} tests whether the given tube plot \\spad{t} is open.")) (|closed?| (((|Boolean|) $) "\\spad{closed?(t)} tests whether the given tube plot \\spad{t} is closed.")) (|listLoops| (((|List| (|List| (|Point| (|DoubleFloat|)))) $) "\\spad{listLoops(t)} returns the list of lists of points,{} or the 'loops',{} of the given tube plot \\spad{t}.")) (|getCurve| ((|#1| $) "\\spad{getCurve(t)} returns the \\spadtype{PlottableSpaceCurveCategory} representing the parametric curve of the given tube plot \\spad{t}."))) NIL @@ -4891,11 +4891,11 @@ NIL (-1240 |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)}."))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4450 |has| |#1| (-368)) (-4444 |has| |#1| (-368)) (-4446 . T) (-4447 . T) (-4449 . 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(|map| ((|#4| (|Mapping| |#3| |#1|) |#2|) "\\spad{map(f, p)} takes a function \\spad{f} from \\spad{R} to \\spad{S},{} and applies it to each (non-zero) coefficient of a polynomial \\spad{p} over \\spad{R},{} getting a new polynomial over \\spad{S}. Note: since the map is not applied to zero elements,{} it may map zero to zero."))) NIL @@ -4975,15 +4975,15 @@ NIL (-1261 |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)}."))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4450 |has| |#1| (-368)) (-4444 |has| |#1| (-368)) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-174))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|)))) (|HasCategory| (-413 (-570)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-368))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-2895 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasSignature| |#1| (LIST (QUOTE -3802) (LIST (|devaluate| |#1|) (QUOTE (-1186)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (-2895 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-966))) (|HasCategory| |#1| (QUOTE (-1212))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasSignature| |#1| (LIST (QUOTE -2023) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1186))))) (|HasSignature| |#1| (LIST (QUOTE -1755) (LIST (LIST (QUOTE -650) (QUOTE (-1186))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570)))))) +((|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-174))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|)))) (|HasCategory| (-413 (-570)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-368))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-2892 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasSignature| |#1| (LIST (QUOTE -3802) (LIST (|devaluate| |#1|) (QUOTE (-1186)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (-2892 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-966))) (|HasCategory| |#1| (QUOTE (-1212))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasSignature| |#1| (LIST (QUOTE -3170) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1186))))) (|HasSignature| |#1| (LIST (QUOTE -1755) (LIST (LIST (QUOTE -650) (QUOTE (-1186))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570)))))) (-1262 |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}."))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4450 |has| |#1| (-368)) (-4444 |has| |#1| (-368)) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-174))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|)))) (|HasCategory| (-413 (-570)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-368))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-2895 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasSignature| |#1| (LIST (QUOTE -3802) (LIST (|devaluate| |#1|) (QUOTE (-1186)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (-2895 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-966))) (|HasCategory| |#1| (QUOTE (-1212))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasSignature| |#1| (LIST (QUOTE -2023) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1186))))) (|HasSignature| |#1| (LIST (QUOTE -1755) (LIST (LIST (QUOTE -650) (QUOTE (-1186))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-562))) (|HasCategory| |#1| (QUOTE (-174))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570))) (|devaluate| |#1|)))) (|HasCategory| (-413 (-570)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-368))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-2892 (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-562)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasSignature| |#1| (LIST (QUOTE -3802) (LIST (|devaluate| |#1|) (QUOTE (-1186)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -413) (QUOTE (-570)))))) (-2892 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-966))) (|HasCategory| |#1| (QUOTE (-1212))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasSignature| |#1| (LIST (QUOTE -3170) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1186))))) (|HasSignature| |#1| (LIST (QUOTE -1755) (LIST (LIST (QUOTE -650) (QUOTE (-1186))) (|devaluate| |#1|))))))) (-1263 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))}."))) (((-4454 "*") |has| (-1262 |#2| |#3| |#4|) (-174)) (-4445 |has| (-1262 |#2| |#3| |#4|) (-562)) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| (-1262 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-1262 |#2| |#3| |#4|) (QUOTE (-146))) (|HasCategory| (-1262 |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1262 |#2| |#3| |#4|) (QUOTE (-174))) (-2895 (|HasCategory| (-1262 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-1262 |#2| |#3| |#4|) (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasCategory| (-1262 |#2| |#3| |#4|) (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-1262 |#2| |#3| |#4|) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-1262 |#2| |#3| |#4|) (QUOTE (-368))) (|HasCategory| (-1262 |#2| |#3| |#4|) (QUOTE (-458))) (|HasCategory| (-1262 |#2| |#3| |#4|) (QUOTE (-562)))) +((|HasCategory| (-1262 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-1262 |#2| |#3| |#4|) (QUOTE (-146))) (|HasCategory| (-1262 |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1262 |#2| |#3| |#4|) (QUOTE (-174))) (-2892 (|HasCategory| (-1262 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-1262 |#2| |#3| |#4|) (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570)))))) (|HasCategory| (-1262 |#2| |#3| |#4|) (LIST (QUOTE -1047) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| (-1262 |#2| |#3| |#4|) (LIST (QUOTE -1047) (QUOTE (-570)))) (|HasCategory| (-1262 |#2| |#3| |#4|) (QUOTE (-368))) (|HasCategory| (-1262 |#2| |#3| |#4|) (QUOTE (-458))) (|HasCategory| (-1262 |#2| |#3| |#4|) (QUOTE (-562)))) (-1264 A S) ((|constructor| (NIL "A unary-recursive aggregate is a one where nodes may have either 0 or 1 children. This aggregate models,{} though not precisely,{} a linked list possibly with a single cycle. A node with one children models a non-empty list,{} with the \\spadfun{value} of the list designating the head,{} or \\spadfun{first},{} of the list,{} and the child designating the tail,{} or \\spadfun{rest},{} of the list. A node with no child then designates the empty list. Since these aggregates are recursive aggregates,{} they may be cyclic.")) (|split!| (($ $ (|Integer|)) "\\spad{split!(u,n)} splits \\spad{u} into two aggregates: \\axiom{\\spad{v} = rest(\\spad{u},{}\\spad{n})} and \\axiom{\\spad{w} = first(\\spad{u},{}\\spad{n})},{} returning \\axiom{\\spad{v}}. Note: afterwards \\axiom{rest(\\spad{u},{}\\spad{n})} returns \\axiom{empty()}.")) (|setlast!| ((|#2| $ |#2|) "\\spad{setlast!(u,x)} destructively changes the last element of \\spad{u} to \\spad{x}.")) (|setrest!| (($ $ $) "\\spad{setrest!(u,v)} destructively changes the rest of \\spad{u} to \\spad{v}.")) (|setelt| ((|#2| $ "last" |#2|) "\\spad{setelt(u,\"last\",x)} (also written: \\axiom{\\spad{u}.last \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setlast!(\\spad{u},{}\\spad{v})}.") (($ $ "rest" $) "\\spad{setelt(u,\"rest\",v)} (also written: \\axiom{\\spad{u}.rest \\spad{:=} \\spad{v}}) is equivalent to \\axiom{setrest!(\\spad{u},{}\\spad{v})}.") ((|#2| $ "first" |#2|) "\\spad{setelt(u,\"first\",x)} (also written: \\axiom{\\spad{u}.first \\spad{:=} \\spad{x}}) is equivalent to \\axiom{setfirst!(\\spad{u},{}\\spad{x})}.")) (|setfirst!| ((|#2| $ |#2|) "\\spad{setfirst!(u,x)} destructively changes the first element of a to \\spad{x}.")) (|cycleSplit!| (($ $) "\\spad{cycleSplit!(u)} splits the aggregate by dropping off the cycle. The value returned is the cycle entry,{} or nil if none exists. For example,{} if \\axiom{\\spad{w} = concat(\\spad{u},{}\\spad{v})} is the cyclic list where \\spad{v} is the head of the cycle,{} \\axiom{cycleSplit!(\\spad{w})} will drop \\spad{v} off \\spad{w} thus destructively changing \\spad{w} to \\spad{u},{} and returning \\spad{v}.")) (|concat!| (($ $ |#2|) "\\spad{concat!(u,x)} destructively adds element \\spad{x} to the end of \\spad{u}. Note: \\axiom{concat!(a,{}\\spad{x}) = setlast!(a,{}[\\spad{x}])}.") (($ $ $) "\\spad{concat!(u,v)} destructively concatenates \\spad{v} to the end of \\spad{u}. Note: \\axiom{concat!(\\spad{u},{}\\spad{v}) = setlast!(\\spad{u},{}\\spad{v})}.")) (|cycleTail| (($ $) "\\spad{cycleTail(u)} returns the last node in the cycle,{} or empty if none exists.")) (|cycleLength| (((|NonNegativeInteger|) $) "\\spad{cycleLength(u)} returns the length of a top-level cycle contained in aggregate \\spad{u},{} or 0 is \\spad{u} has no such cycle.")) (|cycleEntry| (($ $) "\\spad{cycleEntry(u)} returns the head of a top-level cycle contained in aggregate \\spad{u},{} or \\axiom{empty()} if none exists.")) (|third| ((|#2| $) "\\spad{third(u)} returns the third element of \\spad{u}. Note: \\axiom{third(\\spad{u}) = first(rest(rest(\\spad{u})))}.")) (|second| ((|#2| $) "\\spad{second(u)} returns the second element of \\spad{u}. Note: \\axiom{second(\\spad{u}) = first(rest(\\spad{u}))}.")) (|tail| (($ $) "\\spad{tail(u)} returns the last node of \\spad{u}. Note: if \\spad{u} is \\axiom{shallowlyMutable},{} \\axiom{setrest(tail(\\spad{u}),{}\\spad{v}) = concat(\\spad{u},{}\\spad{v})}.")) (|last| (($ $ (|NonNegativeInteger|)) "\\spad{last(u,n)} returns a copy of the last \\spad{n} (\\axiom{\\spad{n} \\spad{>=} 0}) nodes of \\spad{u}. Note: \\axiom{last(\\spad{u},{}\\spad{n})} is a list of \\spad{n} elements.") ((|#2| $) "\\spad{last(u)} resturn the last element of \\spad{u}. Note: for lists,{} \\axiom{last(\\spad{u}) = \\spad{u} . (maxIndex \\spad{u}) = \\spad{u} . (\\# \\spad{u} - 1)}.")) (|rest| (($ $ (|NonNegativeInteger|)) "\\spad{rest(u,n)} returns the \\axiom{\\spad{n}}th (\\spad{n} \\spad{>=} 0) node of \\spad{u}. Note: \\axiom{rest(\\spad{u},{}0) = \\spad{u}}.") (($ $) "\\spad{rest(u)} returns an aggregate consisting of all but the first element of \\spad{u} (equivalently,{} the next node of \\spad{u}).")) (|elt| ((|#2| $ "last") "\\spad{elt(u,\"last\")} (also written: \\axiom{\\spad{u} . last}) is equivalent to last \\spad{u}.") (($ $ "rest") "\\spad{elt(\\%,\"rest\")} (also written: \\axiom{\\spad{u}.rest}) is equivalent to \\axiom{rest \\spad{u}}.") ((|#2| $ "first") "\\spad{elt(u,\"first\")} (also written: \\axiom{\\spad{u} . first}) is equivalent to first \\spad{u}.")) (|first| (($ $ (|NonNegativeInteger|)) "\\spad{first(u,n)} returns a copy of the first \\spad{n} (\\axiom{\\spad{n} \\spad{>=} 0}) elements of \\spad{u}.") ((|#2| $) "\\spad{first(u)} returns the first element of \\spad{u} (equivalently,{} the value at the current node).")) (|concat| (($ |#2| $) "\\spad{concat(x,u)} returns aggregate consisting of \\spad{x} followed by the elements of \\spad{u}. Note: if \\axiom{\\spad{v} = concat(\\spad{x},{}\\spad{u})} then \\axiom{\\spad{x} = first \\spad{v}} and \\axiom{\\spad{u} = rest \\spad{v}}.") (($ $ $) "\\spad{concat(u,v)} returns an aggregate \\spad{w} consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: \\axiom{\\spad{v} = rest(\\spad{w},{}\\#a)}."))) NIL @@ -4999,7 +4999,7 @@ NIL (-1267 S |Coef|) ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|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 (-570)))) (|HasCategory| |#2| (QUOTE (-966))) (|HasCategory| |#2| (QUOTE (-1212))) (|HasSignature| |#2| (LIST (QUOTE -1755) (LIST (LIST (QUOTE -650) (QUOTE (-1186))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -2023) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1186))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (QUOTE (-368)))) +((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-570)))) (|HasCategory| |#2| (QUOTE (-966))) (|HasCategory| |#2| (QUOTE (-1212))) (|HasSignature| |#2| (LIST (QUOTE -1755) (LIST (LIST (QUOTE -650) (QUOTE (-1186))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -3170) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1186))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#2| (QUOTE (-368)))) (-1268 |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."))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4446 . T) (-4447 . T) (-4449 . T)) @@ -5007,7 +5007,7 @@ NIL (-1269 |Coef| |var| |cen|) ((|constructor| (NIL "Dense Taylor series in one variable \\spadtype{UnivariateTaylorSeries} is a domain representing Taylor series in one variable with coefficients in an arbitrary ring. The parameters of the type specify the coefficient ring,{} the power series variable,{} and the center of the power series expansion. For example,{} \\spadtype{UnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|invmultisect| (($ (|Integer|) (|Integer|) $) "\\spad{invmultisect(a,b,f(x))} substitutes \\spad{x^((a+b)*n)} \\indented{1}{for \\spad{x^n} and multiples by \\spad{x^b}.}")) (|multisect| (($ (|Integer|) (|Integer|) $) "\\spad{multisect(a,b,f(x))} selects the coefficients of \\indented{1}{\\spad{x^((a+b)*n+a)},{} and changes this monomial to \\spad{x^n}.}")) (|revert| (($ $) "\\spad{revert(f(x))} returns a Taylor series \\spad{g(x)} such that \\spad{f(g(x)) = g(f(x)) = x}. Series \\spad{f(x)} should have constant coefficient 0 and invertible 1st order coefficient.")) (|generalLambert| (($ $ (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),a,d)} returns \\spad{f(x^a) + f(x^(a + d)) + \\indented{1}{f(x^(a + 2 d)) + ... }. \\spad{f(x)} should have zero constant} \\indented{1}{coefficient and \\spad{a} and \\spad{d} should be positive.}")) (|evenlambert| (($ $) "\\spad{evenlambert(f(x))} returns \\spad{f(x^2) + f(x^4) + f(x^6) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,f(x^(2*n))) = exp(log(evenlambert(f(x))))}.}")) (|oddlambert| (($ $) "\\spad{oddlambert(f(x))} returns \\spad{f(x) + f(x^3) + f(x^5) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,f(x^(2*n-1)))=exp(log(oddlambert(f(x))))}.}")) (|lambert| (($ $) "\\spad{lambert(f(x))} returns \\spad{f(x) + f(x^2) + f(x^3) + ...}. \\indented{1}{This function is used for computing infinite products.} \\indented{1}{\\spad{f(x)} should have zero constant coefficient.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n = 1..infinity,f(x^n)) = exp(log(lambert(f(x))))}.}")) (|lagrange| (($ $) "\\spad{lagrange(g(x))} produces the Taylor series for \\spad{f(x)} \\indented{1}{where \\spad{f(x)} is implicitly defined as \\spad{f(x) = x*g(f(x))}.}")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),x)} computes the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) (((-4454 "*") |has| |#1| (-174)) (-4445 |has| |#1| (-562)) (-4446 . T) (-4447 . T) (-4449 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-562))) (-2895 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-777)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-777)) (|devaluate| |#1|)))) (|HasCategory| (-777) (QUOTE (-1121))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-777))))) (|HasSignature| |#1| (LIST (QUOTE -3802) (LIST (|devaluate| |#1|) (QUOTE (-1186)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-777))))) (|HasCategory| |#1| (QUOTE (-368))) (-2895 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-966))) (|HasCategory| |#1| (QUOTE (-1212))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasSignature| |#1| (LIST (QUOTE -2023) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1186))))) (|HasSignature| |#1| (LIST (QUOTE -1755) (LIST (LIST (QUOTE -650) (QUOTE (-1186))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasCategory| |#1| (QUOTE (-562))) (-2892 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-562)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -907) (QUOTE (-1186)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-777)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-777)) (|devaluate| |#1|)))) (|HasCategory| (-777) (QUOTE (-1121))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-777))))) (|HasSignature| |#1| (LIST (QUOTE -3802) (LIST (|devaluate| |#1|) (QUOTE (-1186)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-777))))) (|HasCategory| |#1| (QUOTE (-368))) (-2892 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-570)))) (|HasCategory| |#1| (QUOTE (-966))) (|HasCategory| |#1| (QUOTE (-1212))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -413) (QUOTE (-570))))) (|HasSignature| |#1| (LIST (QUOTE -3170) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1186))))) (|HasSignature| |#1| (LIST (QUOTE -1755) (LIST (LIST (QUOTE -650) (QUOTE (-1186))) (|devaluate| |#1|))))))) (-1270 |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 @@ -5039,7 +5039,7 @@ NIL (-1277 R) ((|constructor| (NIL "This type represents vector like objects with varying lengths and indexed by a finite segment of integers starting at 1.")) (|vector| (($ (|List| |#1|)) "\\spad{vector(l)} converts the list \\spad{l} to a vector."))) ((-4453 . T) (-4452 . T)) -((-2895 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2895 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2895 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-732))) (|HasCategory| |#1| (QUOTE (-1058))) (-12 (|HasCategory| |#1| (QUOTE (-1011))) (|HasCategory| |#1| (QUOTE (-1058)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) +((-2892 (-12 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-2892 (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868))))) (|HasCategory| |#1| (LIST (QUOTE -620) (QUOTE (-542)))) (-2892 (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109)))) (|HasCategory| |#1| (QUOTE (-856))) (|HasCategory| (-570) (QUOTE (-856))) (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-732))) (|HasCategory| |#1| (QUOTE (-1058))) (-12 (|HasCategory| |#1| (QUOTE (-1011))) (|HasCategory| |#1| (QUOTE (-1058)))) (|HasCategory| |#1| (LIST (QUOTE -619) (QUOTE (-868)))) (-12 (|HasCategory| |#1| (QUOTE (-1109))) (|HasCategory| |#1| (LIST (QUOTE -313) (|devaluate| |#1|))))) (-1278) ((|constructor| (NIL "TwoDimensionalViewport creates viewports to display graphs.")) (|coerce| (((|OutputForm|) $) "\\spad{coerce(v)} returns the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport} as output of the domain \\spadtype{OutputForm}.")) (|key| (((|Integer|) $) "\\spad{key(v)} returns the process ID number of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport}.")) (|reset| (((|Void|) $) "\\spad{reset(v)} sets the current state of the graph characteristics of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} back to their initial settings.")) (|write| (((|String|) $ (|String|) (|List| (|String|))) "\\spad{write(v,s,lf)} takes the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data files for \\spad{v} and the optional file types indicated by the list \\spad{lf}.") (((|String|) $ (|String|) (|String|)) "\\spad{write(v,s,f)} takes the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data files for \\spad{v} and an optional file type \\spad{f}.") (((|String|) $ (|String|)) "\\spad{write(v,s)} takes the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data files for \\spad{v}.")) (|resize| (((|Void|) $ (|PositiveInteger|) (|PositiveInteger|)) "\\spad{resize(v,w,h)} displays the two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with a width of \\spad{w} and a height of \\spad{h},{} keeping the upper left-hand corner position unchanged.")) (|update| (((|Void|) $ (|GraphImage|) (|PositiveInteger|)) "\\spad{update(v,gr,n)} drops the graph \\spad{gr} in slot \\spad{n} of viewport \\spad{v}. The graph \\spad{gr} must have been transmitted already and acquired an integer key.")) (|move| (((|Void|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{move(v,x,y)} displays the two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with the upper left-hand corner of the viewport window at the screen coordinate position \\spad{x},{} \\spad{y}.")) (|show| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{show(v,n,s)} displays the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the graph if \\spad{s} is \"off\".")) (|translate| (((|Void|) $ (|PositiveInteger|) (|Float|) (|Float|)) "\\spad{translate(v,n,dx,dy)} displays the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} translated by \\spad{dx} in the \\spad{x}-coordinate direction from the center of the viewport,{} and by \\spad{dy} in the \\spad{y}-coordinate direction from the center. Setting \\spad{dx} and \\spad{dy} to \\spad{0} places the center of the graph at the center of the viewport.")) (|scale| (((|Void|) $ (|PositiveInteger|) (|Float|) (|Float|)) "\\spad{scale(v,n,sx,sy)} displays the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} scaled by the factor \\spad{sx} in the \\spad{x}-coordinate direction and by the factor \\spad{sy} in the \\spad{y}-coordinate direction.")) (|dimensions| (((|Void|) $ (|NonNegativeInteger|) (|NonNegativeInteger|) (|PositiveInteger|) (|PositiveInteger|)) "\\spad{dimensions(v,x,y,width,height)} sets the position of the upper left-hand corner of the two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} to the window coordinate \\spad{x},{} \\spad{y},{} and sets the dimensions of the window to that of \\spad{width},{} \\spad{height}. The new dimensions are not displayed until the function \\spadfun{makeViewport2D} is executed again for \\spad{v}.")) (|close| (((|Void|) $) "\\spad{close(v)} closes the viewport window of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and terminates the corresponding process ID.")) (|controlPanel| (((|Void|) $ (|String|)) "\\spad{controlPanel(v,s)} displays the control panel of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or hides the control panel if \\spad{s} is \"off\".")) (|connect| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{connect(v,n,s)} displays the lines connecting the graph points in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the lines if \\spad{s} is \"off\".")) (|region| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{region(v,n,s)} displays the bounding box of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the bounding box if \\spad{s} is \"off\".")) (|points| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{points(v,n,s)} displays the points of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the points if \\spad{s} is \"off\".")) (|units| (((|Void|) $ (|PositiveInteger|) (|Palette|)) "\\spad{units(v,n,c)} displays the units of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with the units color set to the given palette color \\spad{c}.") (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{units(v,n,s)} displays the units of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the units if \\spad{s} is \"off\".")) (|axes| (((|Void|) $ (|PositiveInteger|) (|Palette|)) "\\spad{axes(v,n,c)} displays the axes of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with the axes color set to the given palette color \\spad{c}.") (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{axes(v,n,s)} displays the axes of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the axes if \\spad{s} is \"off\".")) (|getGraph| (((|GraphImage|) $ (|PositiveInteger|)) "\\spad{getGraph(v,n)} returns the graph which is of the domain \\spadtype{GraphImage} which is located in graph field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of the domain \\spadtype{TwoDimensionalViewport}.")) (|putGraph| (((|Void|) $ (|GraphImage|) (|PositiveInteger|)) "\\spad{putGraph(v,gi,n)} sets the graph field indicated by \\spad{n},{} of the indicated two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} to be the graph,{} \\spad{gi} of domain \\spadtype{GraphImage}. The contents of viewport,{} \\spad{v},{} will contain \\spad{gi} when the function \\spadfun{makeViewport2D} is called to create the an updated viewport \\spad{v}.")) (|title| (((|Void|) $ (|String|)) "\\spad{title(v,s)} changes the title which is shown in the two-dimensional viewport window,{} \\spad{v} of domain \\spadtype{TwoDimensionalViewport}.")) (|graphs| (((|Vector| (|Union| (|GraphImage|) "undefined")) $) "\\spad{graphs(v)} returns a vector,{} or list,{} which is a union of all the graphs,{} of the domain \\spadtype{GraphImage},{} which are allocated for the two-dimensional viewport,{} \\spad{v},{} of domain \\spadtype{TwoDimensionalViewport}. Those graphs which have no data are labeled \"undefined\",{} otherwise their contents are shown.")) (|graphStates| (((|Vector| (|Record| (|:| |scaleX| (|DoubleFloat|)) (|:| |scaleY| (|DoubleFloat|)) (|:| |deltaX| (|DoubleFloat|)) (|:| |deltaY| (|DoubleFloat|)) (|:| |points| (|Integer|)) (|:| |connect| (|Integer|)) (|:| |spline| (|Integer|)) (|:| |axes| (|Integer|)) (|:| |axesColor| (|Palette|)) (|:| |units| (|Integer|)) (|:| |unitsColor| (|Palette|)) (|:| |showing| (|Integer|)))) $) "\\spad{graphStates(v)} returns and shows a listing of a record containing the current state of the characteristics of each of the ten graph records in the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport}.")) (|graphState| (((|Void|) $ (|PositiveInteger|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Palette|) (|Integer|) (|Palette|) (|Integer|)) "\\spad{graphState(v,num,sX,sY,dX,dY,pts,lns,box,axes,axesC,un,unC,cP)} sets the state of the characteristics for the graph indicated by \\spad{num} in the given two-dimensional viewport \\spad{v},{} of domain \\spadtype{TwoDimensionalViewport},{} to the values given as parameters. The scaling of the graph in the \\spad{x} and \\spad{y} component directions is set to be \\spad{sX} and \\spad{sY}; the window translation in the \\spad{x} and \\spad{y} component directions is set to be \\spad{dX} and \\spad{dY}; The graph points,{} lines,{} bounding \\spad{box},{} \\spad{axes},{} or units will be shown in the viewport if their given parameters \\spad{pts},{} \\spad{lns},{} \\spad{box},{} \\spad{axes} or \\spad{un} are set to be \\spad{1},{} but will not be shown if they are set to \\spad{0}. The color of the \\spad{axes} and the color of the units are indicated by the palette colors \\spad{axesC} and \\spad{unC} respectively. To display the control panel when the viewport window is displayed,{} set \\spad{cP} to \\spad{1},{} otherwise set it to \\spad{0}.")) (|options| (($ $ (|List| (|DrawOption|))) "\\spad{options(v,lopt)} takes the given two-dimensional viewport,{} \\spad{v},{} of the domain \\spadtype{TwoDimensionalViewport} and returns \\spad{v} with it\\spad{'s} draw options modified to be those which are indicated in the given list,{} \\spad{lopt} of domain \\spadtype{DrawOption}.") (((|List| (|DrawOption|)) $) "\\spad{options(v)} takes the given two-dimensional viewport,{} \\spad{v},{} of the domain \\spadtype{TwoDimensionalViewport} and returns a list containing the draw options from the domain \\spadtype{DrawOption} for \\spad{v}.")) (|makeViewport2D| (($ (|GraphImage|) (|List| (|DrawOption|))) "\\spad{makeViewport2D(gi,lopt)} creates and displays a viewport window of the domain \\spadtype{TwoDimensionalViewport} whose graph field is assigned to be the given graph,{} \\spad{gi},{} of domain \\spadtype{GraphImage},{} and whose options field is set to be the list of options,{} \\spad{lopt} of domain \\spadtype{DrawOption}.") (($ $) "\\spad{makeViewport2D(v)} takes the given two-dimensional viewport,{} \\spad{v},{} of the domain \\spadtype{TwoDimensionalViewport} and displays a viewport window on the screen which contains the contents of \\spad{v}.")) (|viewport2D| (($) "\\spad{viewport2D()} returns an undefined two-dimensional viewport of the domain \\spadtype{TwoDimensionalViewport} whose contents are empty.")) (|getPickedPoints| (((|List| (|Point| (|DoubleFloat|))) $) "\\spad{getPickedPoints(x)} returns a list of small floats for the points the user interactively picked on the viewport for full integration into the system,{} some design issues need to be addressed: \\spadignore{e.g.} how to go through the GraphImage interface,{} how to default to graphs,{} etc."))) NIL @@ -5172,4 +5172,4 @@ NIL NIL NIL NIL -((-3 NIL 2268669 2268674 2268679 2268684) (-2 NIL 2268649 2268654 2268659 2268664) (-1 NIL 2268629 2268634 2268639 2268644) (0 NIL 2268609 2268614 2268619 2268624) (-1306 "ZMOD.spad" 2268418 2268431 2268547 2268604) (-1305 "ZLINDEP.spad" 2267484 2267495 2268408 2268413) (-1304 "ZDSOLVE.spad" 2257429 2257451 2267474 2267479) (-1303 "YSTREAM.spad" 2256924 2256935 2257419 2257424) (-1302 "YDIAGRAM.spad" 2256558 2256567 2256914 2256919) (-1301 "XRPOLY.spad" 2255778 2255798 2256414 2256483) (-1300 "XPR.spad" 2253573 2253586 2255496 2255595) (-1299 "XPOLY.spad" 2253128 2253139 2253429 2253498) (-1298 "XPOLYC.spad" 2252447 2252463 2253054 2253123) (-1297 "XPBWPOLY.spad" 2250884 2250904 2252227 2252296) (-1296 "XF.spad" 2249347 2249362 2250786 2250879) (-1295 "XF.spad" 2247790 2247807 2249231 2249236) (-1294 "XFALG.spad" 2244838 2244854 2247716 2247785) (-1293 "XEXPPKG.spad" 2244089 2244115 2244828 2244833) (-1292 "XDPOLY.spad" 2243703 2243719 2243945 2244014) (-1291 "XALG.spad" 2243363 2243374 2243659 2243698) (-1290 "WUTSET.spad" 2239202 2239219 2243009 2243036) (-1289 "WP.spad" 2238401 2238445 2239060 2239127) (-1288 "WHILEAST.spad" 2238199 2238208 2238391 2238396) (-1287 "WHEREAST.spad" 2237870 2237879 2238189 2238194) (-1286 "WFFINTBS.spad" 2235533 2235555 2237860 2237865) (-1285 "WEIER.spad" 2233755 2233766 2235523 2235528) (-1284 "VSPACE.spad" 2233428 2233439 2233723 2233750) (-1283 "VSPACE.spad" 2233121 2233134 2233418 2233423) (-1282 "VOID.spad" 2232798 2232807 2233111 2233116) (-1281 "VIEW.spad" 2230478 2230487 2232788 2232793) (-1280 "VIEWDEF.spad" 2225679 2225688 2230468 2230473) (-1279 "VIEW3D.spad" 2209640 2209649 2225669 2225674) (-1278 "VIEW2D.spad" 2197531 2197540 2209630 2209635) (-1277 "VECTOR.spad" 2196205 2196216 2196456 2196483) (-1276 "VECTOR2.spad" 2194844 2194857 2196195 2196200) (-1275 "VECTCAT.spad" 2192748 2192759 2194812 2194839) (-1274 "VECTCAT.spad" 2190459 2190472 2192525 2192530) (-1273 "VARIABLE.spad" 2190239 2190254 2190449 2190454) (-1272 "UTYPE.spad" 2189883 2189892 2190229 2190234) (-1271 "UTSODETL.spad" 2189178 2189202 2189839 2189844) (-1270 "UTSODE.spad" 2187394 2187414 2189168 2189173) (-1269 "UTS.spad" 2182198 2182226 2185861 2185958) (-1268 "UTSCAT.spad" 2179677 2179693 2182096 2182193) (-1267 "UTSCAT.spad" 2176800 2176818 2179221 2179226) (-1266 "UTS2.spad" 2176395 2176430 2176790 2176795) (-1265 "URAGG.spad" 2171068 2171079 2176385 2176390) (-1264 "URAGG.spad" 2165705 2165718 2171024 2171029) (-1263 "UPXSSING.spad" 2163350 2163376 2164786 2164919) (-1262 "UPXS.spad" 2160504 2160532 2161482 2161631) (-1261 "UPXSCONS.spad" 2158263 2158283 2158636 2158785) (-1260 "UPXSCCA.spad" 2156834 2156854 2158109 2158258) (-1259 "UPXSCCA.spad" 2155547 2155569 2156824 2156829) (-1258 "UPXSCAT.spad" 2154136 2154152 2155393 2155542) (-1257 "UPXS2.spad" 2153679 2153732 2154126 2154131) (-1256 "UPSQFREE.spad" 2152093 2152107 2153669 2153674) (-1255 "UPSCAT.spad" 2149704 2149728 2151991 2152088) (-1254 "UPSCAT.spad" 2147021 2147047 2149310 2149315) (-1253 "UPOLYC.spad" 2142061 2142072 2146863 2147016) (-1252 "UPOLYC.spad" 2136993 2137006 2141797 2141802) (-1251 "UPOLYC2.spad" 2136464 2136483 2136983 2136988) (-1250 "UP.spad" 2133663 2133678 2134050 2134203) (-1249 "UPMP.spad" 2132563 2132576 2133653 2133658) (-1248 "UPDIVP.spad" 2132128 2132142 2132553 2132558) (-1247 "UPDECOMP.spad" 2130373 2130387 2132118 2132123) (-1246 "UPCDEN.spad" 2129582 2129598 2130363 2130368) (-1245 "UP2.spad" 2128946 2128967 2129572 2129577) (-1244 "UNISEG.spad" 2128299 2128310 2128865 2128870) (-1243 "UNISEG2.spad" 2127796 2127809 2128255 2128260) (-1242 "UNIFACT.spad" 2126899 2126911 2127786 2127791) (-1241 "ULS.spad" 2117457 2117485 2118544 2118973) (-1240 "ULSCONS.spad" 2109853 2109873 2110223 2110372) (-1239 "ULSCCAT.spad" 2107590 2107610 2109699 2109848) (-1238 "ULSCCAT.spad" 2105435 2105457 2107546 2107551) (-1237 "ULSCAT.spad" 2103667 2103683 2105281 2105430) (-1236 "ULS2.spad" 2103181 2103234 2103657 2103662) (-1235 "UINT8.spad" 2103058 2103067 2103171 2103176) (-1234 "UINT64.spad" 2102934 2102943 2103048 2103053) (-1233 "UINT32.spad" 2102810 2102819 2102924 2102929) (-1232 "UINT16.spad" 2102686 2102695 2102800 2102805) (-1231 "UFD.spad" 2101751 2101760 2102612 2102681) (-1230 "UFD.spad" 2100878 2100889 2101741 2101746) (-1229 "UDVO.spad" 2099759 2099768 2100868 2100873) (-1228 "UDPO.spad" 2097252 2097263 2099715 2099720) (-1227 "TYPE.spad" 2097184 2097193 2097242 2097247) (-1226 "TYPEAST.spad" 2097103 2097112 2097174 2097179) (-1225 "TWOFACT.spad" 2095755 2095770 2097093 2097098) (-1224 "TUPLE.spad" 2095241 2095252 2095654 2095659) (-1223 "TUBETOOL.spad" 2092108 2092117 2095231 2095236) (-1222 "TUBE.spad" 2090755 2090772 2092098 2092103) (-1221 "TS.spad" 2089354 2089370 2090320 2090417) (-1220 "TSETCAT.spad" 2076481 2076498 2089322 2089349) (-1219 "TSETCAT.spad" 2063594 2063613 2076437 2076442) (-1218 "TRMANIP.spad" 2057960 2057977 2063300 2063305) (-1217 "TRIMAT.spad" 2056923 2056948 2057950 2057955) (-1216 "TRIGMNIP.spad" 2055450 2055467 2056913 2056918) (-1215 "TRIGCAT.spad" 2054962 2054971 2055440 2055445) (-1214 "TRIGCAT.spad" 2054472 2054483 2054952 2054957) (-1213 "TREE.spad" 2053047 2053058 2054079 2054106) (-1212 "TRANFUN.spad" 2052886 2052895 2053037 2053042) (-1211 "TRANFUN.spad" 2052723 2052734 2052876 2052881) (-1210 "TOPSP.spad" 2052397 2052406 2052713 2052718) (-1209 "TOOLSIGN.spad" 2052060 2052071 2052387 2052392) (-1208 "TEXTFILE.spad" 2050621 2050630 2052050 2052055) (-1207 "TEX.spad" 2047767 2047776 2050611 2050616) (-1206 "TEX1.spad" 2047323 2047334 2047757 2047762) (-1205 "TEMUTL.spad" 2046878 2046887 2047313 2047318) (-1204 "TBCMPPK.spad" 2044971 2044994 2046868 2046873) (-1203 "TBAGG.spad" 2044021 2044044 2044951 2044966) (-1202 "TBAGG.spad" 2043079 2043104 2044011 2044016) (-1201 "TANEXP.spad" 2042487 2042498 2043069 2043074) (-1200 "TALGOP.spad" 2042211 2042222 2042477 2042482) (-1199 "TABLE.spad" 2040622 2040645 2040892 2040919) (-1198 "TABLEAU.spad" 2040103 2040114 2040612 2040617) (-1197 "TABLBUMP.spad" 2036906 2036917 2040093 2040098) (-1196 "SYSTEM.spad" 2036134 2036143 2036896 2036901) (-1195 "SYSSOLP.spad" 2033617 2033628 2036124 2036129) (-1194 "SYSPTR.spad" 2033516 2033525 2033607 2033612) (-1193 "SYSNNI.spad" 2032698 2032709 2033506 2033511) (-1192 "SYSINT.spad" 2032102 2032113 2032688 2032693) (-1191 "SYNTAX.spad" 2028308 2028317 2032092 2032097) (-1190 "SYMTAB.spad" 2026376 2026385 2028298 2028303) (-1189 "SYMS.spad" 2022399 2022408 2026366 2026371) (-1188 "SYMPOLY.spad" 2021406 2021417 2021488 2021615) (-1187 "SYMFUNC.spad" 2020907 2020918 2021396 2021401) (-1186 "SYMBOL.spad" 2018410 2018419 2020897 2020902) (-1185 "SWITCH.spad" 2015181 2015190 2018400 2018405) (-1184 "SUTS.spad" 2012086 2012114 2013648 2013745) (-1183 "SUPXS.spad" 2009227 2009255 2010218 2010367) (-1182 "SUP.spad" 2006040 2006051 2006813 2006966) (-1181 "SUPFRACF.spad" 2005145 2005163 2006030 2006035) (-1180 "SUP2.spad" 2004537 2004550 2005135 2005140) (-1179 "SUMRF.spad" 2003511 2003522 2004527 2004532) (-1178 "SUMFS.spad" 2003148 2003165 2003501 2003506) (-1177 "SULS.spad" 1993693 1993721 1994793 1995222) (-1176 "SUCHTAST.spad" 1993462 1993471 1993683 1993688) (-1175 "SUCH.spad" 1993144 1993159 1993452 1993457) (-1174 "SUBSPACE.spad" 1985259 1985274 1993134 1993139) (-1173 "SUBRESP.spad" 1984429 1984443 1985215 1985220) (-1172 "STTF.spad" 1980528 1980544 1984419 1984424) (-1171 "STTFNC.spad" 1976996 1977012 1980518 1980523) (-1170 "STTAYLOR.spad" 1969631 1969642 1976877 1976882) (-1169 "STRTBL.spad" 1968136 1968153 1968285 1968312) (-1168 "STRING.spad" 1967545 1967554 1967559 1967586) (-1167 "STRICAT.spad" 1967333 1967342 1967513 1967540) (-1166 "STREAM.spad" 1964251 1964262 1966858 1966873) (-1165 "STREAM3.spad" 1963824 1963839 1964241 1964246) (-1164 "STREAM2.spad" 1962952 1962965 1963814 1963819) (-1163 "STREAM1.spad" 1962658 1962669 1962942 1962947) (-1162 "STINPROD.spad" 1961594 1961610 1962648 1962653) (-1161 "STEP.spad" 1960795 1960804 1961584 1961589) (-1160 "STEPAST.spad" 1960029 1960038 1960785 1960790) (-1159 "STBL.spad" 1958555 1958583 1958722 1958737) (-1158 "STAGG.spad" 1957630 1957641 1958545 1958550) (-1157 "STAGG.spad" 1956703 1956716 1957620 1957625) (-1156 "STACK.spad" 1956060 1956071 1956310 1956337) (-1155 "SREGSET.spad" 1953764 1953781 1955706 1955733) (-1154 "SRDCMPK.spad" 1952325 1952345 1953754 1953759) (-1153 "SRAGG.spad" 1947468 1947477 1952293 1952320) (-1152 "SRAGG.spad" 1942631 1942642 1947458 1947463) (-1151 "SQMATRIX.spad" 1940247 1940265 1941163 1941250) (-1150 "SPLTREE.spad" 1934799 1934812 1939683 1939710) (-1149 "SPLNODE.spad" 1931387 1931400 1934789 1934794) (-1148 "SPFCAT.spad" 1930196 1930205 1931377 1931382) (-1147 "SPECOUT.spad" 1928748 1928757 1930186 1930191) (-1146 "SPADXPT.spad" 1920343 1920352 1928738 1928743) (-1145 "spad-parser.spad" 1919808 1919817 1920333 1920338) (-1144 "SPADAST.spad" 1919509 1919518 1919798 1919803) (-1143 "SPACEC.spad" 1903708 1903719 1919499 1919504) (-1142 "SPACE3.spad" 1903484 1903495 1903698 1903703) (-1141 "SORTPAK.spad" 1903033 1903046 1903440 1903445) (-1140 "SOLVETRA.spad" 1900796 1900807 1903023 1903028) (-1139 "SOLVESER.spad" 1899324 1899335 1900786 1900791) (-1138 "SOLVERAD.spad" 1895350 1895361 1899314 1899319) (-1137 "SOLVEFOR.spad" 1893812 1893830 1895340 1895345) (-1136 "SNTSCAT.spad" 1893412 1893429 1893780 1893807) (-1135 "SMTS.spad" 1891684 1891710 1892977 1893074) (-1134 "SMP.spad" 1889159 1889179 1889549 1889676) (-1133 "SMITH.spad" 1888004 1888029 1889149 1889154) (-1132 "SMATCAT.spad" 1886114 1886144 1887948 1887999) (-1131 "SMATCAT.spad" 1884156 1884188 1885992 1885997) (-1130 "SKAGG.spad" 1883119 1883130 1884124 1884151) (-1129 "SINT.spad" 1882059 1882068 1882985 1883114) (-1128 "SIMPAN.spad" 1881787 1881796 1882049 1882054) (-1127 "SIG.spad" 1881117 1881126 1881777 1881782) (-1126 "SIGNRF.spad" 1880235 1880246 1881107 1881112) (-1125 "SIGNEF.spad" 1879514 1879531 1880225 1880230) (-1124 "SIGAST.spad" 1878899 1878908 1879504 1879509) (-1123 "SHP.spad" 1876827 1876842 1878855 1878860) (-1122 "SHDP.spad" 1866538 1866565 1867047 1867178) (-1121 "SGROUP.spad" 1866146 1866155 1866528 1866533) (-1120 "SGROUP.spad" 1865752 1865763 1866136 1866141) (-1119 "SGCF.spad" 1858891 1858900 1865742 1865747) (-1118 "SFRTCAT.spad" 1857821 1857838 1858859 1858886) (-1117 "SFRGCD.spad" 1856884 1856904 1857811 1857816) (-1116 "SFQCMPK.spad" 1851521 1851541 1856874 1856879) (-1115 "SFORT.spad" 1850960 1850974 1851511 1851516) (-1114 "SEXOF.spad" 1850803 1850843 1850950 1850955) (-1113 "SEX.spad" 1850695 1850704 1850793 1850798) (-1112 "SEXCAT.spad" 1848296 1848336 1850685 1850690) (-1111 "SET.spad" 1846620 1846631 1847717 1847756) (-1110 "SETMN.spad" 1845070 1845087 1846610 1846615) (-1109 "SETCAT.spad" 1844392 1844401 1845060 1845065) (-1108 "SETCAT.spad" 1843712 1843723 1844382 1844387) (-1107 "SETAGG.spad" 1840261 1840272 1843692 1843707) (-1106 "SETAGG.spad" 1836818 1836831 1840251 1840256) (-1105 "SEQAST.spad" 1836521 1836530 1836808 1836813) (-1104 "SEGXCAT.spad" 1835677 1835690 1836511 1836516) (-1103 "SEG.spad" 1835490 1835501 1835596 1835601) (-1102 "SEGCAT.spad" 1834415 1834426 1835480 1835485) (-1101 "SEGBIND.spad" 1834173 1834184 1834362 1834367) (-1100 "SEGBIND2.spad" 1833871 1833884 1834163 1834168) (-1099 "SEGAST.spad" 1833585 1833594 1833861 1833866) (-1098 "SEG2.spad" 1833020 1833033 1833541 1833546) (-1097 "SDVAR.spad" 1832296 1832307 1833010 1833015) (-1096 "SDPOL.spad" 1829722 1829733 1830013 1830140) (-1095 "SCPKG.spad" 1827811 1827822 1829712 1829717) (-1094 "SCOPE.spad" 1826964 1826973 1827801 1827806) (-1093 "SCACHE.spad" 1825660 1825671 1826954 1826959) (-1092 "SASTCAT.spad" 1825569 1825578 1825650 1825655) (-1091 "SAOS.spad" 1825441 1825450 1825559 1825564) (-1090 "SAERFFC.spad" 1825154 1825174 1825431 1825436) (-1089 "SAE.spad" 1823329 1823345 1823940 1824075) (-1088 "SAEFACT.spad" 1823030 1823050 1823319 1823324) (-1087 "RURPK.spad" 1820689 1820705 1823020 1823025) (-1086 "RULESET.spad" 1820142 1820166 1820679 1820684) (-1085 "RULE.spad" 1818382 1818406 1820132 1820137) (-1084 "RULECOLD.spad" 1818234 1818247 1818372 1818377) (-1083 "RTVALUE.spad" 1817969 1817978 1818224 1818229) (-1082 "RSTRCAST.spad" 1817686 1817695 1817959 1817964) (-1081 "RSETGCD.spad" 1814064 1814084 1817676 1817681) (-1080 "RSETCAT.spad" 1804000 1804017 1814032 1814059) (-1079 "RSETCAT.spad" 1793956 1793975 1803990 1803995) (-1078 "RSDCMPK.spad" 1792408 1792428 1793946 1793951) (-1077 "RRCC.spad" 1790792 1790822 1792398 1792403) (-1076 "RRCC.spad" 1789174 1789206 1790782 1790787) (-1075 "RPTAST.spad" 1788876 1788885 1789164 1789169) (-1074 "RPOLCAT.spad" 1768236 1768251 1788744 1788871) (-1073 "RPOLCAT.spad" 1747309 1747326 1767819 1767824) (-1072 "ROUTINE.spad" 1743192 1743201 1745956 1745983) (-1071 "ROMAN.spad" 1742520 1742529 1743058 1743187) (-1070 "ROIRC.spad" 1741600 1741632 1742510 1742515) (-1069 "RNS.spad" 1740503 1740512 1741502 1741595) (-1068 "RNS.spad" 1739492 1739503 1740493 1740498) (-1067 "RNG.spad" 1739227 1739236 1739482 1739487) (-1066 "RNGBIND.spad" 1738387 1738401 1739182 1739187) (-1065 "RMODULE.spad" 1738152 1738163 1738377 1738382) (-1064 "RMCAT2.spad" 1737572 1737629 1738142 1738147) (-1063 "RMATRIX.spad" 1736396 1736415 1736739 1736778) (-1062 "RMATCAT.spad" 1731975 1732006 1736352 1736391) (-1061 "RMATCAT.spad" 1727444 1727477 1731823 1731828) (-1060 "RLINSET.spad" 1726838 1726849 1727434 1727439) (-1059 "RINTERP.spad" 1726726 1726746 1726828 1726833) (-1058 "RING.spad" 1726196 1726205 1726706 1726721) (-1057 "RING.spad" 1725674 1725685 1726186 1726191) (-1056 "RIDIST.spad" 1725066 1725075 1725664 1725669) (-1055 "RGCHAIN.spad" 1723649 1723665 1724551 1724578) (-1054 "RGBCSPC.spad" 1723430 1723442 1723639 1723644) (-1053 "RGBCMDL.spad" 1722960 1722972 1723420 1723425) (-1052 "RF.spad" 1720602 1720613 1722950 1722955) (-1051 "RFFACTOR.spad" 1720064 1720075 1720592 1720597) (-1050 "RFFACT.spad" 1719799 1719811 1720054 1720059) (-1049 "RFDIST.spad" 1718795 1718804 1719789 1719794) (-1048 "RETSOL.spad" 1718214 1718227 1718785 1718790) (-1047 "RETRACT.spad" 1717642 1717653 1718204 1718209) (-1046 "RETRACT.spad" 1717068 1717081 1717632 1717637) (-1045 "RETAST.spad" 1716880 1716889 1717058 1717063) (-1044 "RESULT.spad" 1714940 1714949 1715527 1715554) (-1043 "RESRING.spad" 1714287 1714334 1714878 1714935) (-1042 "RESLATC.spad" 1713611 1713622 1714277 1714282) (-1041 "REPSQ.spad" 1713342 1713353 1713601 1713606) (-1040 "REP.spad" 1710896 1710905 1713332 1713337) (-1039 "REPDB.spad" 1710603 1710614 1710886 1710891) (-1038 "REP2.spad" 1700261 1700272 1710445 1710450) (-1037 "REP1.spad" 1694457 1694468 1700211 1700216) (-1036 "REGSET.spad" 1692254 1692271 1694103 1694130) (-1035 "REF.spad" 1691589 1691600 1692209 1692214) (-1034 "REDORDER.spad" 1690795 1690812 1691579 1691584) (-1033 "RECLOS.spad" 1689578 1689598 1690282 1690375) (-1032 "REALSOLV.spad" 1688718 1688727 1689568 1689573) (-1031 "REAL.spad" 1688590 1688599 1688708 1688713) (-1030 "REAL0Q.spad" 1685888 1685903 1688580 1688585) (-1029 "REAL0.spad" 1682732 1682747 1685878 1685883) (-1028 "RDUCEAST.spad" 1682453 1682462 1682722 1682727) (-1027 "RDIV.spad" 1682108 1682133 1682443 1682448) (-1026 "RDIST.spad" 1681675 1681686 1682098 1682103) (-1025 "RDETRS.spad" 1680539 1680557 1681665 1681670) (-1024 "RDETR.spad" 1678678 1678696 1680529 1680534) (-1023 "RDEEFS.spad" 1677777 1677794 1678668 1678673) (-1022 "RDEEF.spad" 1676787 1676804 1677767 1677772) (-1021 "RCFIELD.spad" 1673973 1673982 1676689 1676782) (-1020 "RCFIELD.spad" 1671245 1671256 1673963 1673968) (-1019 "RCAGG.spad" 1669173 1669184 1671235 1671240) (-1018 "RCAGG.spad" 1667028 1667041 1669092 1669097) (-1017 "RATRET.spad" 1666388 1666399 1667018 1667023) (-1016 "RATFACT.spad" 1666080 1666092 1666378 1666383) (-1015 "RANDSRC.spad" 1665399 1665408 1666070 1666075) (-1014 "RADUTIL.spad" 1665155 1665164 1665389 1665394) (-1013 "RADIX.spad" 1662076 1662090 1663622 1663715) (-1012 "RADFF.spad" 1660489 1660526 1660608 1660764) (-1011 "RADCAT.spad" 1660084 1660093 1660479 1660484) (-1010 "RADCAT.spad" 1659677 1659688 1660074 1660079) (-1009 "QUEUE.spad" 1659025 1659036 1659284 1659311) (-1008 "QUAT.spad" 1657606 1657617 1657949 1658014) (-1007 "QUATCT2.spad" 1657226 1657245 1657596 1657601) (-1006 "QUATCAT.spad" 1655396 1655407 1657156 1657221) (-1005 "QUATCAT.spad" 1653317 1653330 1655079 1655084) (-1004 "QUAGG.spad" 1652144 1652155 1653285 1653312) (-1003 "QQUTAST.spad" 1651912 1651921 1652134 1652139) (-1002 "QFORM.spad" 1651376 1651391 1651902 1651907) (-1001 "QFCAT.spad" 1650078 1650089 1651278 1651371) (-1000 "QFCAT.spad" 1648371 1648384 1649573 1649578) (-999 "QFCAT2.spad" 1648064 1648080 1648361 1648366) (-998 "QEQUAT.spad" 1647623 1647631 1648054 1648059) (-997 "QCMPACK.spad" 1642370 1642389 1647613 1647618) (-996 "QALGSET.spad" 1638449 1638481 1642284 1642289) (-995 "QALGSET2.spad" 1636445 1636463 1638439 1638444) (-994 "PWFFINTB.spad" 1633861 1633882 1636435 1636440) (-993 "PUSHVAR.spad" 1633200 1633219 1633851 1633856) (-992 "PTRANFN.spad" 1629328 1629338 1633190 1633195) (-991 "PTPACK.spad" 1626416 1626426 1629318 1629323) (-990 "PTFUNC2.spad" 1626239 1626253 1626406 1626411) (-989 "PTCAT.spad" 1625494 1625504 1626207 1626234) (-988 "PSQFR.spad" 1624801 1624825 1625484 1625489) (-987 "PSEUDLIN.spad" 1623687 1623697 1624791 1624796) (-986 "PSETPK.spad" 1609120 1609136 1623565 1623570) (-985 "PSETCAT.spad" 1603040 1603063 1609100 1609115) (-984 "PSETCAT.spad" 1596934 1596959 1602996 1603001) (-983 "PSCURVE.spad" 1595917 1595925 1596924 1596929) (-982 "PSCAT.spad" 1594700 1594729 1595815 1595912) (-981 "PSCAT.spad" 1593573 1593604 1594690 1594695) (-980 "PRTITION.spad" 1592658 1592666 1593563 1593568) (-979 "PRTDAST.spad" 1592377 1592385 1592648 1592653) (-978 "PRS.spad" 1581939 1581956 1592333 1592338) (-977 "PRQAGG.spad" 1581374 1581384 1581907 1581934) (-976 "PROPLOG.spad" 1580946 1580954 1581364 1581369) (-975 "PROPFUN2.spad" 1580569 1580582 1580936 1580941) (-974 "PROPFUN1.spad" 1579967 1579978 1580559 1580564) (-973 "PROPFRML.spad" 1578535 1578546 1579957 1579962) (-972 "PROPERTY.spad" 1578023 1578031 1578525 1578530) (-971 "PRODUCT.spad" 1575705 1575717 1575989 1576044) (-970 "PR.spad" 1574097 1574109 1574796 1574923) (-969 "PRINT.spad" 1573849 1573857 1574087 1574092) (-968 "PRIMES.spad" 1572102 1572112 1573839 1573844) (-967 "PRIMELT.spad" 1570183 1570197 1572092 1572097) (-966 "PRIMCAT.spad" 1569810 1569818 1570173 1570178) (-965 "PRIMARR.spad" 1568815 1568825 1568993 1569020) (-964 "PRIMARR2.spad" 1567582 1567594 1568805 1568810) (-963 "PREASSOC.spad" 1566964 1566976 1567572 1567577) (-962 "PPCURVE.spad" 1566101 1566109 1566954 1566959) (-961 "PORTNUM.spad" 1565876 1565884 1566091 1566096) (-960 "POLYROOT.spad" 1564725 1564747 1565832 1565837) (-959 "POLY.spad" 1562060 1562070 1562575 1562702) (-958 "POLYLIFT.spad" 1561325 1561348 1562050 1562055) (-957 "POLYCATQ.spad" 1559443 1559465 1561315 1561320) (-956 "POLYCAT.spad" 1552913 1552934 1559311 1559438) (-955 "POLYCAT.spad" 1545721 1545744 1552121 1552126) (-954 "POLY2UP.spad" 1545173 1545187 1545711 1545716) (-953 "POLY2.spad" 1544770 1544782 1545163 1545168) (-952 "POLUTIL.spad" 1543711 1543740 1544726 1544731) (-951 "POLTOPOL.spad" 1542459 1542474 1543701 1543706) (-950 "POINT.spad" 1541297 1541307 1541384 1541411) (-949 "PNTHEORY.spad" 1537999 1538007 1541287 1541292) (-948 "PMTOOLS.spad" 1536774 1536788 1537989 1537994) (-947 "PMSYM.spad" 1536323 1536333 1536764 1536769) (-946 "PMQFCAT.spad" 1535914 1535928 1536313 1536318) (-945 "PMPRED.spad" 1535393 1535407 1535904 1535909) (-944 "PMPREDFS.spad" 1534847 1534869 1535383 1535388) (-943 "PMPLCAT.spad" 1533927 1533945 1534779 1534784) (-942 "PMLSAGG.spad" 1533512 1533526 1533917 1533922) (-941 "PMKERNEL.spad" 1533091 1533103 1533502 1533507) (-940 "PMINS.spad" 1532671 1532681 1533081 1533086) (-939 "PMFS.spad" 1532248 1532266 1532661 1532666) (-938 "PMDOWN.spad" 1531538 1531552 1532238 1532243) (-937 "PMASS.spad" 1530548 1530556 1531528 1531533) (-936 "PMASSFS.spad" 1529515 1529531 1530538 1530543) (-935 "PLOTTOOL.spad" 1529295 1529303 1529505 1529510) (-934 "PLOT.spad" 1524218 1524226 1529285 1529290) (-933 "PLOT3D.spad" 1520682 1520690 1524208 1524213) (-932 "PLOT1.spad" 1519839 1519849 1520672 1520677) (-931 "PLEQN.spad" 1507129 1507156 1519829 1519834) (-930 "PINTERP.spad" 1506751 1506770 1507119 1507124) (-929 "PINTERPA.spad" 1506535 1506551 1506741 1506746) (-928 "PI.spad" 1506144 1506152 1506509 1506530) (-927 "PID.spad" 1505114 1505122 1506070 1506139) (-926 "PICOERCE.spad" 1504771 1504781 1505104 1505109) (-925 "PGROEB.spad" 1503372 1503386 1504761 1504766) (-924 "PGE.spad" 1494989 1494997 1503362 1503367) (-923 "PGCD.spad" 1493879 1493896 1494979 1494984) (-922 "PFRPAC.spad" 1493028 1493038 1493869 1493874) (-921 "PFR.spad" 1489691 1489701 1492930 1493023) (-920 "PFOTOOLS.spad" 1488949 1488965 1489681 1489686) (-919 "PFOQ.spad" 1488319 1488337 1488939 1488944) (-918 "PFO.spad" 1487738 1487765 1488309 1488314) (-917 "PF.spad" 1487312 1487324 1487543 1487636) (-916 "PFECAT.spad" 1484994 1485002 1487238 1487307) (-915 "PFECAT.spad" 1482704 1482714 1484950 1484955) (-914 "PFBRU.spad" 1480592 1480604 1482694 1482699) (-913 "PFBR.spad" 1478152 1478175 1480582 1480587) (-912 "PERM.spad" 1473837 1473847 1477982 1477997) (-911 "PERMGRP.spad" 1468599 1468609 1473827 1473832) (-910 "PERMCAT.spad" 1467157 1467167 1468579 1468594) (-909 "PERMAN.spad" 1465689 1465703 1467147 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1011444 1011449) (-645 "LINEXP.spad" 1010510 1010520 1011056 1011071) (-644 "LINDEP.spad" 1009319 1009331 1010422 1010427) (-643 "LIMITRF.spad" 1007247 1007257 1009309 1009314) (-642 "LIMITPS.spad" 1006150 1006163 1007237 1007242) (-641 "LIE.spad" 1004166 1004178 1005440 1005585) (-640 "LIECAT.spad" 1003642 1003652 1004092 1004161) (-639 "LIECAT.spad" 1003146 1003158 1003598 1003603) (-638 "LIB.spad" 1001196 1001204 1001805 1001820) (-637 "LGROBP.spad" 998549 998568 1001186 1001191) (-636 "LF.spad" 997504 997520 998539 998544) (-635 "LFCAT.spad" 996563 996571 997494 997499) (-634 "LEXTRIPK.spad" 992066 992081 996553 996558) (-633 "LEXP.spad" 990069 990096 992046 992061) (-632 "LETAST.spad" 989768 989776 990059 990064) (-631 "LEADCDET.spad" 988166 988183 989758 989763) (-630 "LAZM3PK.spad" 986870 986892 988156 988161) (-629 "LAUPOL.spad" 985563 985576 986463 986532) (-628 "LAPLACE.spad" 985146 985162 985553 985558) (-627 "LA.spad" 984586 984600 985068 985107) (-626 "LALG.spad" 984362 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968296) (-605 "ITFUN3.spad" 966646 966660 967130 967135) (-604 "ITFUN2.spad" 966390 966402 966636 966641) (-603 "ITFORM.spad" 965745 965753 966380 966385) (-602 "ITAYLOR.spad" 963739 963754 965609 965706) (-601 "ISUPS.spad" 956176 956191 962713 962810) (-600 "ISUMP.spad" 955677 955693 956166 956171) (-599 "ISTRING.spad" 954765 954778 954846 954873) (-598 "ISAST.spad" 954484 954492 954755 954760) (-597 "IRURPK.spad" 953201 953220 954474 954479) (-596 "IRSN.spad" 951173 951181 953191 953196) (-595 "IRRF2F.spad" 949658 949668 951129 951134) (-594 "IRREDFFX.spad" 949259 949270 949648 949653) (-593 "IROOT.spad" 947598 947608 949249 949254) (-592 "IR.spad" 945399 945413 947453 947480) (-591 "IRFORM.spad" 944723 944731 945389 945394) (-590 "IR2.spad" 943751 943767 944713 944718) (-589 "IR2F.spad" 942957 942973 943741 943746) (-588 "IPRNTPK.spad" 942717 942725 942947 942952) (-587 "IPF.spad" 942282 942294 942522 942615) (-586 "IPADIC.spad" 942043 942069 942208 942277) (-585 "IP4ADDR.spad" 941600 941608 942033 942038) (-584 "IOMODE.spad" 941122 941130 941590 941595) (-583 "IOBFILE.spad" 940483 940491 941112 941117) (-582 "IOBCON.spad" 940348 940356 940473 940478) (-581 "INVLAPLA.spad" 939997 940013 940338 940343) (-580 "INTTR.spad" 933379 933396 939987 939992) (-579 "INTTOOLS.spad" 931134 931150 932953 932958) (-578 "INTSLPE.spad" 930454 930462 931124 931129) (-577 "INTRVL.spad" 930020 930030 930368 930449) (-576 "INTRF.spad" 928444 928458 930010 930015) (-575 "INTRET.spad" 927876 927886 928434 928439) (-574 "INTRAT.spad" 926603 926620 927866 927871) (-573 "INTPM.spad" 924988 925004 926246 926251) (-572 "INTPAF.spad" 922852 922870 924920 924925) (-571 "INTPACK.spad" 913226 913234 922842 922847) (-570 "INT.spad" 912674 912682 913080 913221) (-569 "INTHERTR.spad" 911948 911965 912664 912669) (-568 "INTHERAL.spad" 911618 911642 911938 911943) (-567 "INTHEORY.spad" 908057 908065 911608 911613) (-566 "INTG0.spad" 901790 901808 907989 907994) (-565 "INTFTBL.spad" 895819 895827 901780 901785) (-564 "INTFACT.spad" 894878 894888 895809 895814) (-563 "INTEF.spad" 893263 893279 894868 894873) (-562 "INTDOM.spad" 891886 891894 893189 893258) (-561 "INTDOM.spad" 890571 890581 891876 891881) (-560 "INTCAT.spad" 888830 888840 890485 890566) (-559 "INTBIT.spad" 888337 888345 888820 888825) (-558 "INTALG.spad" 887525 887552 888327 888332) (-557 "INTAF.spad" 887025 887041 887515 887520) (-556 "INTABL.spad" 885543 885574 885706 885733) (-555 "INT8.spad" 885423 885431 885533 885538) (-554 "INT64.spad" 885302 885310 885413 885418) (-553 "INT32.spad" 885181 885189 885292 885297) (-552 "INT16.spad" 885060 885068 885171 885176) (-551 "INS.spad" 882563 882571 884962 885055) (-550 "INS.spad" 880152 880162 882553 882558) (-549 "INPSIGN.spad" 879600 879613 880142 880147) (-548 "INPRODPF.spad" 878696 878715 879590 879595) (-547 "INPRODFF.spad" 877784 877808 878686 878691) (-546 "INNMFACT.spad" 876759 876776 877774 877779) (-545 "INMODGCD.spad" 876247 876277 876749 876754) (-544 "INFSP.spad" 874544 874566 876237 876242) (-543 "INFPROD0.spad" 873624 873643 874534 874539) (-542 "INFORM.spad" 870823 870831 873614 873619) (-541 "INFORM1.spad" 870448 870458 870813 870818) (-540 "INFINITY.spad" 870000 870008 870438 870443) (-539 "INETCLTS.spad" 869977 869985 869990 869995) (-538 "INEP.spad" 868515 868537 869967 869972) (-537 "INDE.spad" 868244 868261 868505 868510) (-536 "INCRMAPS.spad" 867665 867675 868234 868239) (-535 "INBFILE.spad" 866737 866745 867655 867660) (-534 "INBFF.spad" 862531 862542 866727 866732) (-533 "INBCON.spad" 860821 860829 862521 862526) (-532 "INBCON.spad" 859109 859119 860811 860816) (-531 "INAST.spad" 858770 858778 859099 859104) (-530 "IMPTAST.spad" 858478 858486 858760 858765) (-529 "IMATRIX.spad" 857423 857449 857935 857962) (-528 "IMATQF.spad" 856517 856561 857379 857384) (-527 "IMATLIN.spad" 855122 855146 856473 856478) (-526 "ILIST.spad" 853780 853795 854305 854332) (-525 "IIARRAY2.spad" 853168 853206 853387 853414) (-524 "IFF.spad" 852578 852594 852849 852942) (-523 "IFAST.spad" 852192 852200 852568 852573) (-522 "IFARRAY.spad" 849685 849700 851375 851402) (-521 "IFAMON.spad" 849547 849564 849641 849646) (-520 "IEVALAB.spad" 848952 848964 849537 849542) (-519 "IEVALAB.spad" 848355 848369 848942 848947) (-518 "IDPO.spad" 848153 848165 848345 848350) (-517 "IDPOAMS.spad" 847909 847921 848143 848148) (-516 "IDPOAM.spad" 847629 847641 847899 847904) (-515 "IDPC.spad" 846567 846579 847619 847624) (-514 "IDPAM.spad" 846312 846324 846557 846562) (-513 "IDPAG.spad" 846059 846071 846302 846307) (-512 "IDENT.spad" 845709 845717 846049 846054) (-511 "IDECOMP.spad" 842948 842966 845699 845704) (-510 "IDEAL.spad" 837897 837936 842883 842888) (-509 "ICDEN.spad" 837086 837102 837887 837892) (-508 "ICARD.spad" 836277 836285 837076 837081) (-507 "IBPTOOLS.spad" 834884 834901 836267 836272) (-506 "IBITS.spad" 834087 834100 834520 834547) (-505 "IBATOOL.spad" 831064 831083 834077 834082) (-504 "IBACHIN.spad" 829571 829586 831054 831059) (-503 "IARRAY2.spad" 828559 828585 829178 829205) (-502 "IARRAY1.spad" 827604 827619 827742 827769) (-501 "IAN.spad" 825827 825835 827420 827513) (-500 "IALGFACT.spad" 825430 825463 825817 825822) (-499 "HYPCAT.spad" 824854 824862 825420 825425) (-498 "HYPCAT.spad" 824276 824286 824844 824849) (-497 "HOSTNAME.spad" 824084 824092 824266 824271) (-496 "HOMOTOP.spad" 823827 823837 824074 824079) (-495 "HOAGG.spad" 821109 821119 823817 823822) (-494 "HOAGG.spad" 818166 818178 820876 820881) (-493 "HEXADEC.spad" 816268 816276 816633 816726) (-492 "HEUGCD.spad" 815303 815314 816258 816263) (-491 "HELLFDIV.spad" 814893 814917 815293 815298) (-490 "HEAP.spad" 814285 814295 814500 814527) (-489 "HEADAST.spad" 813818 813826 814275 814280) (-488 "HDP.spad" 803661 803677 804038 804169) (-487 "HDMP.spad" 800875 800890 801491 801618) (-486 "HB.spad" 799126 799134 800865 800870) (-485 "HASHTBL.spad" 797596 797627 797807 797834) (-484 "HASAST.spad" 797312 797320 797586 797591) (-483 "HACKPI.spad" 796803 796811 797214 797307) (-482 "GTSET.spad" 795742 795758 796449 796476) (-481 "GSTBL.spad" 794261 794296 794435 794450) (-480 "GSERIES.spad" 791432 791459 792393 792542) (-479 "GROUP.spad" 790705 790713 791412 791427) (-478 "GROUP.spad" 789986 789996 790695 790700) (-477 "GROEBSOL.spad" 788480 788501 789976 789981) (-476 "GRMOD.spad" 787051 787063 788470 788475) (-475 "GRMOD.spad" 785620 785634 787041 787046) (-474 "GRIMAGE.spad" 778509 778517 785610 785615) (-473 "GRDEF.spad" 776888 776896 778499 778504) (-472 "GRAY.spad" 775351 775359 776878 776883) (-471 "GRALG.spad" 774428 774440 775341 775346) (-470 "GRALG.spad" 773503 773517 774418 774423) (-469 "GPOLSET.spad" 772957 772980 773185 773212) (-468 "GOSPER.spad" 772226 772244 772947 772952) (-467 "GMODPOL.spad" 771374 771401 772194 772221) (-466 "GHENSEL.spad" 770457 770471 771364 771369) (-465 "GENUPS.spad" 766750 766763 770447 770452) (-464 "GENUFACT.spad" 766327 766337 766740 766745) (-463 "GENPGCD.spad" 765913 765930 766317 766322) (-462 "GENMFACT.spad" 765365 765384 765903 765908) (-461 "GENEEZ.spad" 763316 763329 765355 765360) (-460 "GDMP.spad" 760372 760389 761146 761273) (-459 "GCNAALG.spad" 754295 754322 760166 760233) (-458 "GCDDOM.spad" 753471 753479 754221 754290) (-457 "GCDDOM.spad" 752709 752719 753461 753466) (-456 "GB.spad" 750235 750273 752665 752670) (-455 "GBINTERN.spad" 746255 746293 750225 750230) (-454 "GBF.spad" 742022 742060 746245 746250) (-453 "GBEUCLID.spad" 739904 739942 742012 742017) (-452 "GAUSSFAC.spad" 739217 739225 739894 739899) (-451 "GALUTIL.spad" 737543 737553 739173 739178) (-450 "GALPOLYU.spad" 735997 736010 737533 737538) (-449 "GALFACTU.spad" 734170 734189 735987 735992) (-448 "GALFACT.spad" 724359 724370 734160 734165) (-447 "FVFUN.spad" 721382 721390 724349 724354) (-446 "FVC.spad" 720434 720442 721372 721377) (-445 "FUNDESC.spad" 720112 720120 720424 720429) (-444 "FUNCTION.spad" 719961 719973 720102 720107) (-443 "FT.spad" 718258 718266 719951 719956) (-442 "FTEM.spad" 717423 717431 718248 718253) (-441 "FSUPFACT.spad" 716323 716342 717359 717364) (-440 "FST.spad" 714409 714417 716313 716318) (-439 "FSRED.spad" 713889 713905 714399 714404) (-438 "FSPRMELT.spad" 712771 712787 713846 713851) (-437 "FSPECF.spad" 710862 710878 712761 712766) (-436 "FS.spad" 705130 705140 710637 710857) (-435 "FS.spad" 699176 699188 704685 704690) (-434 "FSINT.spad" 698836 698852 699166 699171) (-433 "FSERIES.spad" 698027 698039 698656 698755) (-432 "FSCINT.spad" 697344 697360 698017 698022) (-431 "FSAGG.spad" 696461 696471 697300 697339) (-430 "FSAGG.spad" 695540 695552 696381 696386) (-429 "FSAGG2.spad" 694283 694299 695530 695535) (-428 "FS2UPS.spad" 688774 688808 694273 694278) (-427 "FS2.spad" 688421 688437 688764 688769) (-426 "FS2EXPXP.spad" 687546 687569 688411 688416) (-425 "FRUTIL.spad" 686500 686510 687536 687541) (-424 "FR.spad" 680216 680226 685524 685593) (-423 "FRNAALG.spad" 675335 675345 680158 680211) (-422 "FRNAALG.spad" 670466 670478 675291 675296) (-421 "FRNAAF2.spad" 669922 669940 670456 670461) (-420 "FRMOD.spad" 669332 669362 669853 669858) (-419 "FRIDEAL.spad" 668557 668578 669312 669327) (-418 "FRIDEAL2.spad" 668161 668193 668547 668552) (-417 "FRETRCT.spad" 667672 667682 668151 668156) (-416 "FRETRCT.spad" 667049 667061 667530 667535) (-415 "FRAMALG.spad" 665397 665410 667005 667044) (-414 "FRAMALG.spad" 663777 663792 665387 665392) (-413 "FRAC.spad" 660876 660886 661279 661452) (-412 "FRAC2.spad" 660481 660493 660866 660871) (-411 "FR2.spad" 659817 659829 660471 660476) (-410 "FPS.spad" 656632 656640 659707 659812) (-409 "FPS.spad" 653475 653485 656552 656557) (-408 "FPC.spad" 652521 652529 653377 653470) (-407 "FPC.spad" 651653 651663 652511 652516) (-406 "FPATMAB.spad" 651415 651425 651643 651648) (-405 "FPARFRAC.spad" 649902 649919 651405 651410) (-404 "FORTRAN.spad" 648408 648451 649892 649897) (-403 "FORT.spad" 647357 647365 648398 648403) (-402 "FORTFN.spad" 644527 644535 647347 647352) (-401 "FORTCAT.spad" 644211 644219 644517 644522) (-400 "FORMULA.spad" 641685 641693 644201 644206) (-399 "FORMULA1.spad" 641164 641174 641675 641680) (-398 "FORDER.spad" 640855 640879 641154 641159) (-397 "FOP.spad" 640056 640064 640845 640850) (-396 "FNLA.spad" 639480 639502 640024 640051) (-395 "FNCAT.spad" 638075 638083 639470 639475) (-394 "FNAME.spad" 637967 637975 638065 638070) (-393 "FMTC.spad" 637765 637773 637893 637962) (-392 "FMONOID.spad" 637430 637440 637721 637726) (-391 "FMONCAT.spad" 634583 634593 637420 637425) (-390 "FM.spad" 634278 634290 634517 634544) (-389 "FMFUN.spad" 631308 631316 634268 634273) (-388 "FMC.spad" 630360 630368 631298 631303) (-387 "FMCAT.spad" 628028 628046 630328 630355) (-386 "FM1.spad" 627385 627397 627962 627989) (-385 "FLOATRP.spad" 625120 625134 627375 627380) (-384 "FLOAT.spad" 618434 618442 624986 625115) (-383 "FLOATCP.spad" 615865 615879 618424 618429) (-382 "FLINEXP.spad" 615577 615587 615845 615860) (-381 "FLINEXP.spad" 615243 615255 615513 615518) (-380 "FLASORT.spad" 614569 614581 615233 615238) (-379 "FLALG.spad" 612215 612234 614495 614564) (-378 "FLAGG.spad" 609257 609267 612195 612210) (-377 "FLAGG.spad" 606200 606212 609140 609145) (-376 "FLAGG2.spad" 604925 604941 606190 606195) (-375 "FINRALG.spad" 602986 602999 604881 604920) (-374 "FINRALG.spad" 600973 600988 602870 602875) (-373 "FINITE.spad" 600125 600133 600963 600968) (-372 "FINAALG.spad" 589246 589256 600067 600120) (-371 "FINAALG.spad" 578379 578391 589202 589207) (-370 "FILE.spad" 577962 577972 578369 578374) (-369 "FILECAT.spad" 576488 576505 577952 577957) (-368 "FIELD.spad" 575894 575902 576390 576483) (-367 "FIELD.spad" 575386 575396 575884 575889) (-366 "FGROUP.spad" 574033 574043 575366 575381) (-365 "FGLMICPK.spad" 572820 572835 574023 574028) (-364 "FFX.spad" 572195 572210 572536 572629) (-363 "FFSLPE.spad" 571698 571719 572185 572190) (-362 "FFPOLY.spad" 562960 562971 571688 571693) (-361 "FFPOLY2.spad" 562020 562037 562950 562955) (-360 "FFP.spad" 561417 561437 561736 561829) (-359 "FF.spad" 560865 560881 561098 561191) (-358 "FFNBX.spad" 559377 559397 560581 560674) (-357 "FFNBP.spad" 557890 557907 559093 559186) (-356 "FFNB.spad" 556355 556376 557571 557664) (-355 "FFINTBAS.spad" 553869 553888 556345 556350) (-354 "FFIELDC.spad" 551446 551454 553771 553864) (-353 "FFIELDC.spad" 549109 549119 551436 551441) (-352 "FFHOM.spad" 547857 547874 549099 549104) (-351 "FFF.spad" 545292 545303 547847 547852) (-350 "FFCGX.spad" 544139 544159 545008 545101) (-349 "FFCGP.spad" 543028 543048 543855 543948) (-348 "FFCG.spad" 541820 541841 542709 542802) (-347 "FFCAT.spad" 534993 535015 541659 541815) (-346 "FFCAT.spad" 528245 528269 534913 534918) (-345 "FFCAT2.spad" 527992 528032 528235 528240) (-344 "FEXPR.spad" 519709 519755 527748 527787) (-343 "FEVALAB.spad" 519417 519427 519699 519704) (-342 "FEVALAB.spad" 518910 518922 519194 519199) (-341 "FDIV.spad" 518352 518376 518900 518905) (-340 "FDIVCAT.spad" 516416 516440 518342 518347) (-339 "FDIVCAT.spad" 514478 514504 516406 516411) (-338 "FDIV2.spad" 514134 514174 514468 514473) (-337 "FCTRDATA.spad" 513142 513150 514124 514129) (-336 "FCPAK1.spad" 511709 511717 513132 513137) (-335 "FCOMP.spad" 511088 511098 511699 511704) (-334 "FC.spad" 501095 501103 511078 511083) (-333 "FAXF.spad" 494066 494080 500997 501090) (-332 "FAXF.spad" 487089 487105 494022 494027) (-331 "FARRAY.spad" 485239 485249 486272 486299) (-330 "FAMR.spad" 483375 483387 485137 485234) (-329 "FAMR.spad" 481495 481509 483259 483264) (-328 "FAMONOID.spad" 481163 481173 481449 481454) (-327 "FAMONC.spad" 479459 479471 481153 481158) (-326 "FAGROUP.spad" 479083 479093 479355 479382) (-325 "FACUTIL.spad" 477287 477304 479073 479078) (-324 "FACTFUNC.spad" 476481 476491 477277 477282) (-323 "EXPUPXS.spad" 473314 473337 474613 474762) (-322 "EXPRTUBE.spad" 470602 470610 473304 473309) (-321 "EXPRODE.spad" 467762 467778 470592 470597) (-320 "EXPR.spad" 463037 463047 463751 464158) (-319 "EXPR2UPS.spad" 459159 459172 463027 463032) (-318 "EXPR2.spad" 458864 458876 459149 459154) (-317 "EXPEXPAN.spad" 455804 455829 456436 456529) (-316 "EXIT.spad" 455475 455483 455794 455799) (-315 "EXITAST.spad" 455211 455219 455465 455470) (-314 "EVALCYC.spad" 454671 454685 455201 455206) (-313 "EVALAB.spad" 454243 454253 454661 454666) (-312 "EVALAB.spad" 453813 453825 454233 454238) (-311 "EUCDOM.spad" 451387 451395 453739 453808) (-310 "EUCDOM.spad" 449023 449033 451377 451382) (-309 "ESTOOLS.spad" 440869 440877 449013 449018) (-308 "ESTOOLS2.spad" 440472 440486 440859 440864) (-307 "ESTOOLS1.spad" 440157 440168 440462 440467) (-306 "ES.spad" 432972 432980 440147 440152) (-305 "ES.spad" 425693 425703 432870 432875) (-304 "ESCONT.spad" 422486 422494 425683 425688) (-303 "ESCONT1.spad" 422235 422247 422476 422481) (-302 "ES2.spad" 421740 421756 422225 422230) (-301 "ES1.spad" 421310 421326 421730 421735) (-300 "ERROR.spad" 418637 418645 421300 421305) (-299 "EQTBL.spad" 417109 417131 417318 417345) (-298 "EQ.spad" 411914 411924 414701 414813) (-297 "EQ2.spad" 411632 411644 411904 411909) (-296 "EP.spad" 407958 407968 411622 411627) (-295 "ENV.spad" 406636 406644 407948 407953) (-294 "ENTIRER.spad" 406304 406312 406580 406631) (-293 "EMR.spad" 405511 405552 406230 406299) (-292 "ELTAGG.spad" 403765 403784 405501 405506) (-291 "ELTAGG.spad" 401983 402004 403721 403726) (-290 "ELTAB.spad" 401432 401450 401973 401978) (-289 "ELFUTS.spad" 400819 400838 401422 401427) (-288 "ELEMFUN.spad" 400508 400516 400809 400814) (-287 "ELEMFUN.spad" 400195 400205 400498 400503) (-286 "ELAGG.spad" 398166 398176 400175 400190) (-285 "ELAGG.spad" 396074 396086 398085 398090) (-284 "ELABOR.spad" 395420 395428 396064 396069) (-283 "ELABEXPR.spad" 394352 394360 395410 395415) (-282 "EFUPXS.spad" 391128 391158 394308 394313) (-281 "EFULS.spad" 387964 387987 391084 391089) (-280 "EFSTRUC.spad" 385979 385995 387954 387959) (-279 "EF.spad" 380755 380771 385969 385974) (-278 "EAB.spad" 379031 379039 380745 380750) (-277 "E04UCFA.spad" 378567 378575 379021 379026) (-276 "E04NAFA.spad" 378144 378152 378557 378562) (-275 "E04MBFA.spad" 377724 377732 378134 378139) (-274 "E04JAFA.spad" 377260 377268 377714 377719) (-273 "E04GCFA.spad" 376796 376804 377250 377255) (-272 "E04FDFA.spad" 376332 376340 376786 376791) (-271 "E04DGFA.spad" 375868 375876 376322 376327) (-270 "E04AGNT.spad" 371718 371726 375858 375863) (-269 "DVARCAT.spad" 368407 368417 371708 371713) (-268 "DVARCAT.spad" 365094 365106 368397 368402) (-267 "DSMP.spad" 362561 362575 362866 362993) (-266 "DROPT.spad" 356520 356528 362551 362556) (-265 "DROPT1.spad" 356185 356195 356510 356515) (-264 "DROPT0.spad" 351042 351050 356175 356180) (-263 "DRAWPT.spad" 349215 349223 351032 351037) (-262 "DRAW.spad" 342091 342104 349205 349210) (-261 "DRAWHACK.spad" 341399 341409 342081 342086) (-260 "DRAWCX.spad" 338869 338877 341389 341394) (-259 "DRAWCURV.spad" 338416 338431 338859 338864) (-258 "DRAWCFUN.spad" 327948 327956 338406 338411) (-257 "DQAGG.spad" 326126 326136 327916 327943) (-256 "DPOLCAT.spad" 321475 321491 325994 326121) (-255 "DPOLCAT.spad" 316910 316928 321431 321436) (-254 "DPMO.spad" 309136 309152 309274 309575) (-253 "DPMM.spad" 301375 301393 301500 301801) (-252 "DOMTMPLT.spad" 301035 301043 301365 301370) (-251 "DOMCTOR.spad" 300790 300798 301025 301030) (-250 "DOMAIN.spad" 299877 299885 300780 300785) (-249 "DMP.spad" 297137 297152 297707 297834) (-248 "DLP.spad" 296489 296499 297127 297132) (-247 "DLIST.spad" 295068 295078 295672 295699) (-246 "DLAGG.spad" 293485 293495 295058 295063) (-245 "DIVRING.spad" 293027 293035 293429 293480) (-244 "DIVRING.spad" 292613 292623 293017 293022) (-243 "DISPLAY.spad" 290803 290811 292603 292608) (-242 "DIRPROD.spad" 280383 280399 281023 281154) (-241 "DIRPROD2.spad" 279201 279219 280373 280378) (-240 "DIRPCAT.spad" 278145 278161 279065 279196) (-239 "DIRPCAT.spad" 276818 276836 277740 277745) (-238 "DIOSP.spad" 275643 275651 276808 276813) (-237 "DIOPS.spad" 274639 274649 275623 275638) (-236 "DIOPS.spad" 273609 273621 274595 274600) (-235 "DIFRING.spad" 272905 272913 273589 273604) (-234 "DIFRING.spad" 272209 272219 272895 272900) (-233 "DIFEXT.spad" 271380 271390 272189 272204) (-232 "DIFEXT.spad" 270468 270480 271279 271284) (-231 "DIAGG.spad" 270098 270108 270448 270463) (-230 "DIAGG.spad" 269736 269748 270088 270093) (-229 "DHMATRIX.spad" 268048 268058 269193 269220) (-228 "DFSFUN.spad" 261688 261696 268038 268043) (-227 "DFLOAT.spad" 258419 258427 261578 261683) (-226 "DFINTTLS.spad" 256650 256666 258409 258414) (-225 "DERHAM.spad" 254564 254596 256630 256645) (-224 "DEQUEUE.spad" 253888 253898 254171 254198) (-223 "DEGRED.spad" 253505 253519 253878 253883) (-222 "DEFINTRF.spad" 251042 251052 253495 253500) (-221 "DEFINTEF.spad" 249552 249568 251032 251037) (-220 "DEFAST.spad" 248920 248928 249542 249547) (-219 "DECIMAL.spad" 247026 247034 247387 247480) (-218 "DDFACT.spad" 244839 244856 247016 247021) (-217 "DBLRESP.spad" 244439 244463 244829 244834) (-216 "DBASE.spad" 243103 243113 244429 244434) (-215 "DATAARY.spad" 242565 242578 243093 243098) (-214 "D03FAFA.spad" 242393 242401 242555 242560) (-213 "D03EEFA.spad" 242213 242221 242383 242388) (-212 "D03AGNT.spad" 241299 241307 242203 242208) (-211 "D02EJFA.spad" 240761 240769 241289 241294) (-210 "D02CJFA.spad" 240239 240247 240751 240756) (-209 "D02BHFA.spad" 239729 239737 240229 240234) (-208 "D02BBFA.spad" 239219 239227 239719 239724) (-207 "D02AGNT.spad" 234033 234041 239209 239214) (-206 "D01WGTS.spad" 232352 232360 234023 234028) (-205 "D01TRNS.spad" 232329 232337 232342 232347) (-204 "D01GBFA.spad" 231851 231859 232319 232324) (-203 "D01FCFA.spad" 231373 231381 231841 231846) (-202 "D01ASFA.spad" 230841 230849 231363 231368) (-201 "D01AQFA.spad" 230287 230295 230831 230836) (-200 "D01APFA.spad" 229711 229719 230277 230282) (-199 "D01ANFA.spad" 229205 229213 229701 229706) (-198 "D01AMFA.spad" 228715 228723 229195 229200) (-197 "D01ALFA.spad" 228255 228263 228705 228710) (-196 "D01AKFA.spad" 227781 227789 228245 228250) (-195 "D01AJFA.spad" 227304 227312 227771 227776) (-194 "D01AGNT.spad" 223371 223379 227294 227299) (-193 "CYCLOTOM.spad" 222877 222885 223361 223366) (-192 "CYCLES.spad" 219669 219677 222867 222872) (-191 "CVMP.spad" 219086 219096 219659 219664) (-190 "CTRIGMNP.spad" 217586 217602 219076 219081) (-189 "CTOR.spad" 217277 217285 217576 217581) (-188 "CTORKIND.spad" 216880 216888 217267 217272) (-187 "CTORCAT.spad" 216129 216137 216870 216875) (-186 "CTORCAT.spad" 215376 215386 216119 216124) (-185 "CTORCALL.spad" 214965 214975 215366 215371) (-184 "CSTTOOLS.spad" 214210 214223 214955 214960) (-183 "CRFP.spad" 207934 207947 214200 214205) (-182 "CRCEAST.spad" 207654 207662 207924 207929) (-181 "CRAPACK.spad" 206705 206715 207644 207649) (-180 "CPMATCH.spad" 206209 206224 206630 206635) (-179 "CPIMA.spad" 205914 205933 206199 206204) (-178 "COORDSYS.spad" 200923 200933 205904 205909) (-177 "CONTOUR.spad" 200334 200342 200913 200918) (-176 "CONTFRAC.spad" 196084 196094 200236 200329) (-175 "CONDUIT.spad" 195842 195850 196074 196079) (-174 "COMRING.spad" 195516 195524 195780 195837) (-173 "COMPPROP.spad" 195034 195042 195506 195511) (-172 "COMPLPAT.spad" 194801 194816 195024 195029) (-171 "COMPLEX.spad" 188938 188948 189182 189443) (-170 "COMPLEX2.spad" 188653 188665 188928 188933) (-169 "COMPILER.spad" 188202 188210 188643 188648) (-168 "COMPFACT.spad" 187804 187818 188192 188197) (-167 "COMPCAT.spad" 185876 185886 187538 187799) (-166 "COMPCAT.spad" 183676 183688 185340 185345) (-165 "COMMUPC.spad" 183424 183442 183666 183671) (-164 "COMMONOP.spad" 182957 182965 183414 183419) (-163 "COMM.spad" 182768 182776 182947 182952) (-162 "COMMAAST.spad" 182531 182539 182758 182763) (-161 "COMBOPC.spad" 181446 181454 182521 182526) (-160 "COMBINAT.spad" 180213 180223 181436 181441) (-159 "COMBF.spad" 177595 177611 180203 180208) (-158 "COLOR.spad" 176432 176440 177585 177590) (-157 "COLONAST.spad" 176098 176106 176422 176427) (-156 "CMPLXRT.spad" 175809 175826 176088 176093) (-155 "CLLCTAST.spad" 175471 175479 175799 175804) (-154 "CLIP.spad" 171579 171587 175461 175466) (-153 "CLIF.spad" 170234 170250 171535 171574) (-152 "CLAGG.spad" 166739 166749 170224 170229) (-151 "CLAGG.spad" 163115 163127 166602 166607) (-150 "CINTSLPE.spad" 162446 162459 163105 163110) (-149 "CHVAR.spad" 160584 160606 162436 162441) (-148 "CHARZ.spad" 160499 160507 160564 160579) (-147 "CHARPOL.spad" 160009 160019 160489 160494) (-146 "CHARNZ.spad" 159762 159770 159989 160004) (-145 "CHAR.spad" 157636 157644 159752 159757) (-144 "CFCAT.spad" 156964 156972 157626 157631) (-143 "CDEN.spad" 156160 156174 156954 156959) (-142 "CCLASS.spad" 154309 154317 155571 155610) (-141 "CATEGORY.spad" 153351 153359 154299 154304) (-140 "CATCTOR.spad" 153242 153250 153341 153346) (-139 "CATAST.spad" 152860 152868 153232 153237) (-138 "CASEAST.spad" 152574 152582 152850 152855) (-137 "CARTEN.spad" 147861 147885 152564 152569) (-136 "CARTEN2.spad" 147251 147278 147851 147856) (-135 "CARD.spad" 144546 144554 147225 147246) (-134 "CAPSLAST.spad" 144320 144328 144536 144541) (-133 "CACHSET.spad" 143944 143952 144310 144315) (-132 "CABMON.spad" 143499 143507 143934 143939) (-131 "BYTEORD.spad" 143174 143182 143489 143494) (-130 "BYTE.spad" 142601 142609 143164 143169) (-129 "BYTEBUF.spad" 140460 140468 141770 141797) (-128 "BTREE.spad" 139533 139543 140067 140094) (-127 "BTOURN.spad" 138538 138548 139140 139167) (-126 "BTCAT.spad" 137930 137940 138506 138533) (-125 "BTCAT.spad" 137342 137354 137920 137925) (-124 "BTAGG.spad" 136808 136816 137310 137337) (-123 "BTAGG.spad" 136294 136304 136798 136803) (-122 "BSTREE.spad" 135035 135045 135901 135928) (-121 "BRILL.spad" 133232 133243 135025 135030) (-120 "BRAGG.spad" 132172 132182 133222 133227) (-119 "BRAGG.spad" 131076 131088 132128 132133) (-118 "BPADICRT.spad" 129057 129069 129312 129405) (-117 "BPADIC.spad" 128721 128733 128983 129052) (-116 "BOUNDZRO.spad" 128377 128394 128711 128716) (-115 "BOP.spad" 123559 123567 128367 128372) (-114 "BOP1.spad" 121025 121035 123549 123554) (-113 "BOOLE.spad" 120675 120683 121015 121020) (-112 "BOOLEAN.spad" 120113 120121 120665 120670) (-111 "BMODULE.spad" 119825 119837 120081 120108) (-110 "BITS.spad" 119246 119254 119461 119488) (-109 "BINDING.spad" 118659 118667 119236 119241) (-108 "BINARY.spad" 116770 116778 117126 117219) (-107 "BGAGG.spad" 115975 115985 116750 116765) (-106 "BGAGG.spad" 115188 115200 115965 115970) (-105 "BFUNCT.spad" 114752 114760 115168 115183) (-104 "BEZOUT.spad" 113892 113919 114702 114707) (-103 "BBTREE.spad" 110737 110747 113499 113526) (-102 "BASTYPE.spad" 110409 110417 110727 110732) (-101 "BASTYPE.spad" 110079 110089 110399 110404) (-100 "BALFACT.spad" 109538 109551 110069 110074) (-99 "AUTOMOR.spad" 108989 108998 109518 109533) (-98 "ATTREG.spad" 105712 105719 108741 108984) (-97 "ATTRBUT.spad" 101735 101742 105692 105707) (-96 "ATTRAST.spad" 101452 101459 101725 101730) (-95 "ATRIG.spad" 100922 100929 101442 101447) (-94 "ATRIG.spad" 100390 100399 100912 100917) (-93 "ASTCAT.spad" 100294 100301 100380 100385) (-92 "ASTCAT.spad" 100196 100205 100284 100289) (-91 "ASTACK.spad" 99535 99544 99803 99830) (-90 "ASSOCEQ.spad" 98361 98372 99491 99496) (-89 "ASP9.spad" 97442 97455 98351 98356) (-88 "ASP8.spad" 96485 96498 97432 97437) (-87 "ASP80.spad" 95807 95820 96475 96480) (-86 "ASP7.spad" 94967 94980 95797 95802) (-85 "ASP78.spad" 94418 94431 94957 94962) (-84 "ASP77.spad" 93787 93800 94408 94413) (-83 "ASP74.spad" 92879 92892 93777 93782) (-82 "ASP73.spad" 92150 92163 92869 92874) (-81 "ASP6.spad" 91017 91030 92140 92145) (-80 "ASP55.spad" 89526 89539 91007 91012) (-79 "ASP50.spad" 87343 87356 89516 89521) (-78 "ASP4.spad" 86638 86651 87333 87338) (-77 "ASP49.spad" 85637 85650 86628 86633) (-76 "ASP42.spad" 84044 84083 85627 85632) (-75 "ASP41.spad" 82623 82662 84034 84039) (-74 "ASP35.spad" 81611 81624 82613 82618) (-73 "ASP34.spad" 80912 80925 81601 81606) (-72 "ASP33.spad" 80472 80485 80902 80907) (-71 "ASP31.spad" 79612 79625 80462 80467) (-70 "ASP30.spad" 78504 78517 79602 79607) (-69 "ASP29.spad" 77970 77983 78494 78499) (-68 "ASP28.spad" 69243 69256 77960 77965) (-67 "ASP27.spad" 68140 68153 69233 69238) (-66 "ASP24.spad" 67227 67240 68130 68135) (-65 "ASP20.spad" 66691 66704 67217 67222) (-64 "ASP1.spad" 66072 66085 66681 66686) (-63 "ASP19.spad" 60758 60771 66062 66067) (-62 "ASP12.spad" 60172 60185 60748 60753) (-61 "ASP10.spad" 59443 59456 60162 60167) (-60 "ARRAY2.spad" 58803 58812 59050 59077) (-59 "ARRAY1.spad" 57640 57649 57986 58013) (-58 "ARRAY12.spad" 56353 56364 57630 57635) (-57 "ARR2CAT.spad" 52127 52148 56321 56348) (-56 "ARR2CAT.spad" 47921 47944 52117 52122) (-55 "ARITY.spad" 47293 47300 47911 47916) (-54 "APPRULE.spad" 46553 46575 47283 47288) (-53 "APPLYORE.spad" 46172 46185 46543 46548) (-52 "ANY.spad" 45031 45038 46162 46167) (-51 "ANY1.spad" 44102 44111 45021 45026) (-50 "ANTISYM.spad" 42547 42563 44082 44097) (-49 "ANON.spad" 42240 42247 42537 42542) (-48 "AN.spad" 40549 40556 42056 42149) (-47 "AMR.spad" 38734 38745 40447 40544) (-46 "AMR.spad" 36756 36769 38471 38476) (-45 "ALIST.spad" 34168 34189 34518 34545) (-44 "ALGSC.spad" 33303 33329 34040 34093) (-43 "ALGPKG.spad" 29086 29097 33259 33264) (-42 "ALGMFACT.spad" 28279 28293 29076 29081) (-41 "ALGMANIP.spad" 25753 25768 28112 28117) (-40 "ALGFF.spad" 24068 24095 24285 24441) (-39 "ALGFACT.spad" 23195 23205 24058 24063) (-38 "ALGEBRA.spad" 23028 23037 23151 23190) (-37 "ALGEBRA.spad" 22893 22904 23018 23023) (-36 "ALAGG.spad" 22405 22426 22861 22888) (-35 "AHYP.spad" 21786 21793 22395 22400) (-34 "AGG.spad" 20103 20110 21776 21781) (-33 "AGG.spad" 18384 18393 20059 20064) (-32 "AF.spad" 16815 16830 18319 18324) (-31 "ADDAST.spad" 16493 16500 16805 16810) (-30 "ACPLOT.spad" 15084 15091 16483 16488) (-29 "ACFS.spad" 12893 12902 14986 15079) (-28 "ACFS.spad" 10788 10799 12883 12888) (-27 "ACF.spad" 7470 7477 10690 10783) (-26 "ACF.spad" 4238 4247 7460 7465) (-25 "ABELSG.spad" 3779 3786 4228 4233) (-24 "ABELSG.spad" 3318 3327 3769 3774) (-23 "ABELMON.spad" 2861 2868 3308 3313) (-22 "ABELMON.spad" 2402 2411 2851 2856) (-21 "ABELGRP.spad" 2067 2074 2392 2397) (-20 "ABELGRP.spad" 1730 1739 2057 2062) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865))
\ No newline at end of file +((-3 NIL 2269056 2269061 2269066 2269071) (-2 NIL 2269036 2269041 2269046 2269051) (-1 NIL 2269016 2269021 2269026 2269031) (0 NIL 2268996 2269001 2269006 2269011) (-1306 "ZMOD.spad" 2268805 2268818 2268934 2268991) (-1305 "ZLINDEP.spad" 2267871 2267882 2268795 2268800) (-1304 "ZDSOLVE.spad" 2257816 2257838 2267861 2267866) (-1303 "YSTREAM.spad" 2257311 2257322 2257806 2257811) (-1302 "YDIAGRAM.spad" 2256945 2256954 2257301 2257306) (-1301 "XRPOLY.spad" 2256165 2256185 2256801 2256870) (-1300 "XPR.spad" 2253960 2253973 2255883 2255982) (-1299 "XPOLY.spad" 2253515 2253526 2253816 2253885) (-1298 "XPOLYC.spad" 2252834 2252850 2253441 2253510) (-1297 "XPBWPOLY.spad" 2251271 2251291 2252614 2252683) (-1296 "XF.spad" 2249734 2249749 2251173 2251266) (-1295 "XF.spad" 2248177 2248194 2249618 2249623) (-1294 "XFALG.spad" 2245225 2245241 2248103 2248172) (-1293 "XEXPPKG.spad" 2244476 2244502 2245215 2245220) (-1292 "XDPOLY.spad" 2244090 2244106 2244332 2244401) (-1291 "XALG.spad" 2243750 2243761 2244046 2244085) (-1290 "WUTSET.spad" 2239589 2239606 2243396 2243423) (-1289 "WP.spad" 2238788 2238832 2239447 2239514) (-1288 "WHILEAST.spad" 2238586 2238595 2238778 2238783) (-1287 "WHEREAST.spad" 2238257 2238266 2238576 2238581) (-1286 "WFFINTBS.spad" 2235920 2235942 2238247 2238252) (-1285 "WEIER.spad" 2234142 2234153 2235910 2235915) (-1284 "VSPACE.spad" 2233815 2233826 2234110 2234137) (-1283 "VSPACE.spad" 2233508 2233521 2233805 2233810) (-1282 "VOID.spad" 2233185 2233194 2233498 2233503) (-1281 "VIEW.spad" 2230865 2230874 2233175 2233180) (-1280 "VIEWDEF.spad" 2226066 2226075 2230855 2230860) (-1279 "VIEW3D.spad" 2210027 2210036 2226056 2226061) (-1278 "VIEW2D.spad" 2197918 2197927 2210017 2210022) (-1277 "VECTOR.spad" 2196592 2196603 2196843 2196870) (-1276 "VECTOR2.spad" 2195231 2195244 2196582 2196587) (-1275 "VECTCAT.spad" 2193135 2193146 2195199 2195226) (-1274 "VECTCAT.spad" 2190846 2190859 2192912 2192917) (-1273 "VARIABLE.spad" 2190626 2190641 2190836 2190841) (-1272 "UTYPE.spad" 2190270 2190279 2190616 2190621) (-1271 "UTSODETL.spad" 2189565 2189589 2190226 2190231) (-1270 "UTSODE.spad" 2187781 2187801 2189555 2189560) (-1269 "UTS.spad" 2182585 2182613 2186248 2186345) (-1268 "UTSCAT.spad" 2180064 2180080 2182483 2182580) (-1267 "UTSCAT.spad" 2177187 2177205 2179608 2179613) (-1266 "UTS2.spad" 2176782 2176817 2177177 2177182) (-1265 "URAGG.spad" 2171455 2171466 2176772 2176777) (-1264 "URAGG.spad" 2166092 2166105 2171411 2171416) (-1263 "UPXSSING.spad" 2163737 2163763 2165173 2165306) (-1262 "UPXS.spad" 2160891 2160919 2161869 2162018) (-1261 "UPXSCONS.spad" 2158650 2158670 2159023 2159172) (-1260 "UPXSCCA.spad" 2157221 2157241 2158496 2158645) (-1259 "UPXSCCA.spad" 2155934 2155956 2157211 2157216) (-1258 "UPXSCAT.spad" 2154523 2154539 2155780 2155929) (-1257 "UPXS2.spad" 2154066 2154119 2154513 2154518) (-1256 "UPSQFREE.spad" 2152480 2152494 2154056 2154061) (-1255 "UPSCAT.spad" 2150091 2150115 2152378 2152475) (-1254 "UPSCAT.spad" 2147408 2147434 2149697 2149702) (-1253 "UPOLYC.spad" 2142448 2142459 2147250 2147403) (-1252 "UPOLYC.spad" 2137380 2137393 2142184 2142189) (-1251 "UPOLYC2.spad" 2136851 2136870 2137370 2137375) (-1250 "UP.spad" 2134050 2134065 2134437 2134590) (-1249 "UPMP.spad" 2132950 2132963 2134040 2134045) (-1248 "UPDIVP.spad" 2132515 2132529 2132940 2132945) (-1247 "UPDECOMP.spad" 2130760 2130774 2132505 2132510) (-1246 "UPCDEN.spad" 2129969 2129985 2130750 2130755) (-1245 "UP2.spad" 2129333 2129354 2129959 2129964) (-1244 "UNISEG.spad" 2128686 2128697 2129252 2129257) (-1243 "UNISEG2.spad" 2128183 2128196 2128642 2128647) (-1242 "UNIFACT.spad" 2127286 2127298 2128173 2128178) (-1241 "ULS.spad" 2117844 2117872 2118931 2119360) (-1240 "ULSCONS.spad" 2110240 2110260 2110610 2110759) (-1239 "ULSCCAT.spad" 2107977 2107997 2110086 2110235) (-1238 "ULSCCAT.spad" 2105822 2105844 2107933 2107938) (-1237 "ULSCAT.spad" 2104054 2104070 2105668 2105817) (-1236 "ULS2.spad" 2103568 2103621 2104044 2104049) (-1235 "UINT8.spad" 2103445 2103454 2103558 2103563) (-1234 "UINT64.spad" 2103321 2103330 2103435 2103440) (-1233 "UINT32.spad" 2103197 2103206 2103311 2103316) (-1232 "UINT16.spad" 2103073 2103082 2103187 2103192) (-1231 "UFD.spad" 2102138 2102147 2102999 2103068) (-1230 "UFD.spad" 2101265 2101276 2102128 2102133) (-1229 "UDVO.spad" 2100146 2100155 2101255 2101260) (-1228 "UDPO.spad" 2097639 2097650 2100102 2100107) (-1227 "TYPE.spad" 2097571 2097580 2097629 2097634) (-1226 "TYPEAST.spad" 2097490 2097499 2097561 2097566) (-1225 "TWOFACT.spad" 2096142 2096157 2097480 2097485) (-1224 "TUPLE.spad" 2095628 2095639 2096041 2096046) (-1223 "TUBETOOL.spad" 2092495 2092504 2095618 2095623) (-1222 "TUBE.spad" 2091142 2091159 2092485 2092490) (-1221 "TS.spad" 2089741 2089757 2090707 2090804) (-1220 "TSETCAT.spad" 2076868 2076885 2089709 2089736) (-1219 "TSETCAT.spad" 2063981 2064000 2076824 2076829) (-1218 "TRMANIP.spad" 2058347 2058364 2063687 2063692) (-1217 "TRIMAT.spad" 2057310 2057335 2058337 2058342) (-1216 "TRIGMNIP.spad" 2055837 2055854 2057300 2057305) (-1215 "TRIGCAT.spad" 2055349 2055358 2055827 2055832) (-1214 "TRIGCAT.spad" 2054859 2054870 2055339 2055344) (-1213 "TREE.spad" 2053434 2053445 2054466 2054493) (-1212 "TRANFUN.spad" 2053273 2053282 2053424 2053429) (-1211 "TRANFUN.spad" 2053110 2053121 2053263 2053268) (-1210 "TOPSP.spad" 2052784 2052793 2053100 2053105) (-1209 "TOOLSIGN.spad" 2052447 2052458 2052774 2052779) (-1208 "TEXTFILE.spad" 2051008 2051017 2052437 2052442) (-1207 "TEX.spad" 2048154 2048163 2050998 2051003) (-1206 "TEX1.spad" 2047710 2047721 2048144 2048149) (-1205 "TEMUTL.spad" 2047265 2047274 2047700 2047705) (-1204 "TBCMPPK.spad" 2045358 2045381 2047255 2047260) (-1203 "TBAGG.spad" 2044408 2044431 2045338 2045353) (-1202 "TBAGG.spad" 2043466 2043491 2044398 2044403) (-1201 "TANEXP.spad" 2042874 2042885 2043456 2043461) (-1200 "TALGOP.spad" 2042598 2042609 2042864 2042869) (-1199 "TABLE.spad" 2041009 2041032 2041279 2041306) (-1198 "TABLEAU.spad" 2040490 2040501 2040999 2041004) (-1197 "TABLBUMP.spad" 2037293 2037304 2040480 2040485) (-1196 "SYSTEM.spad" 2036521 2036530 2037283 2037288) (-1195 "SYSSOLP.spad" 2034004 2034015 2036511 2036516) (-1194 "SYSPTR.spad" 2033903 2033912 2033994 2033999) (-1193 "SYSNNI.spad" 2033085 2033096 2033893 2033898) (-1192 "SYSINT.spad" 2032489 2032500 2033075 2033080) (-1191 "SYNTAX.spad" 2028695 2028704 2032479 2032484) (-1190 "SYMTAB.spad" 2026763 2026772 2028685 2028690) (-1189 "SYMS.spad" 2022786 2022795 2026753 2026758) (-1188 "SYMPOLY.spad" 2021793 2021804 2021875 2022002) (-1187 "SYMFUNC.spad" 2021294 2021305 2021783 2021788) (-1186 "SYMBOL.spad" 2018797 2018806 2021284 2021289) (-1185 "SWITCH.spad" 2015568 2015577 2018787 2018792) (-1184 "SUTS.spad" 2012473 2012501 2014035 2014132) (-1183 "SUPXS.spad" 2009614 2009642 2010605 2010754) (-1182 "SUP.spad" 2006427 2006438 2007200 2007353) (-1181 "SUPFRACF.spad" 2005532 2005550 2006417 2006422) (-1180 "SUP2.spad" 2004924 2004937 2005522 2005527) (-1179 "SUMRF.spad" 2003898 2003909 2004914 2004919) (-1178 "SUMFS.spad" 2003535 2003552 2003888 2003893) (-1177 "SULS.spad" 1994080 1994108 1995180 1995609) (-1176 "SUCHTAST.spad" 1993849 1993858 1994070 1994075) (-1175 "SUCH.spad" 1993531 1993546 1993839 1993844) (-1174 "SUBSPACE.spad" 1985646 1985661 1993521 1993526) (-1173 "SUBRESP.spad" 1984816 1984830 1985602 1985607) (-1172 "STTF.spad" 1980915 1980931 1984806 1984811) (-1171 "STTFNC.spad" 1977383 1977399 1980905 1980910) (-1170 "STTAYLOR.spad" 1970018 1970029 1977264 1977269) (-1169 "STRTBL.spad" 1968523 1968540 1968672 1968699) (-1168 "STRING.spad" 1967932 1967941 1967946 1967973) (-1167 "STRICAT.spad" 1967720 1967729 1967900 1967927) (-1166 "STREAM.spad" 1964638 1964649 1967245 1967260) (-1165 "STREAM3.spad" 1964211 1964226 1964628 1964633) (-1164 "STREAM2.spad" 1963339 1963352 1964201 1964206) (-1163 "STREAM1.spad" 1963045 1963056 1963329 1963334) (-1162 "STINPROD.spad" 1961981 1961997 1963035 1963040) (-1161 "STEP.spad" 1961182 1961191 1961971 1961976) (-1160 "STEPAST.spad" 1960416 1960425 1961172 1961177) (-1159 "STBL.spad" 1958942 1958970 1959109 1959124) (-1158 "STAGG.spad" 1958017 1958028 1958932 1958937) (-1157 "STAGG.spad" 1957090 1957103 1958007 1958012) (-1156 "STACK.spad" 1956447 1956458 1956697 1956724) (-1155 "SREGSET.spad" 1954151 1954168 1956093 1956120) (-1154 "SRDCMPK.spad" 1952712 1952732 1954141 1954146) (-1153 "SRAGG.spad" 1947855 1947864 1952680 1952707) (-1152 "SRAGG.spad" 1943018 1943029 1947845 1947850) (-1151 "SQMATRIX.spad" 1940634 1940652 1941550 1941637) (-1150 "SPLTREE.spad" 1935186 1935199 1940070 1940097) (-1149 "SPLNODE.spad" 1931774 1931787 1935176 1935181) (-1148 "SPFCAT.spad" 1930583 1930592 1931764 1931769) (-1147 "SPECOUT.spad" 1929135 1929144 1930573 1930578) (-1146 "SPADXPT.spad" 1920730 1920739 1929125 1929130) (-1145 "spad-parser.spad" 1920195 1920204 1920720 1920725) (-1144 "SPADAST.spad" 1919896 1919905 1920185 1920190) (-1143 "SPACEC.spad" 1904095 1904106 1919886 1919891) (-1142 "SPACE3.spad" 1903871 1903882 1904085 1904090) (-1141 "SORTPAK.spad" 1903420 1903433 1903827 1903832) (-1140 "SOLVETRA.spad" 1901183 1901194 1903410 1903415) (-1139 "SOLVESER.spad" 1899711 1899722 1901173 1901178) (-1138 "SOLVERAD.spad" 1895737 1895748 1899701 1899706) (-1137 "SOLVEFOR.spad" 1894199 1894217 1895727 1895732) (-1136 "SNTSCAT.spad" 1893799 1893816 1894167 1894194) (-1135 "SMTS.spad" 1892071 1892097 1893364 1893461) (-1134 "SMP.spad" 1889546 1889566 1889936 1890063) (-1133 "SMITH.spad" 1888391 1888416 1889536 1889541) (-1132 "SMATCAT.spad" 1886501 1886531 1888335 1888386) (-1131 "SMATCAT.spad" 1884543 1884575 1886379 1886384) (-1130 "SKAGG.spad" 1883506 1883517 1884511 1884538) (-1129 "SINT.spad" 1882446 1882455 1883372 1883501) (-1128 "SIMPAN.spad" 1882174 1882183 1882436 1882441) (-1127 "SIG.spad" 1881504 1881513 1882164 1882169) (-1126 "SIGNRF.spad" 1880622 1880633 1881494 1881499) (-1125 "SIGNEF.spad" 1879901 1879918 1880612 1880617) (-1124 "SIGAST.spad" 1879286 1879295 1879891 1879896) (-1123 "SHP.spad" 1877214 1877229 1879242 1879247) (-1122 "SHDP.spad" 1866925 1866952 1867434 1867565) (-1121 "SGROUP.spad" 1866533 1866542 1866915 1866920) (-1120 "SGROUP.spad" 1866139 1866150 1866523 1866528) (-1119 "SGCF.spad" 1859278 1859287 1866129 1866134) (-1118 "SFRTCAT.spad" 1858208 1858225 1859246 1859273) (-1117 "SFRGCD.spad" 1857271 1857291 1858198 1858203) (-1116 "SFQCMPK.spad" 1851908 1851928 1857261 1857266) (-1115 "SFORT.spad" 1851347 1851361 1851898 1851903) (-1114 "SEXOF.spad" 1851190 1851230 1851337 1851342) (-1113 "SEX.spad" 1851082 1851091 1851180 1851185) (-1112 "SEXCAT.spad" 1848683 1848723 1851072 1851077) (-1111 "SET.spad" 1847007 1847018 1848104 1848143) (-1110 "SETMN.spad" 1845457 1845474 1846997 1847002) (-1109 "SETCAT.spad" 1844779 1844788 1845447 1845452) (-1108 "SETCAT.spad" 1844099 1844110 1844769 1844774) (-1107 "SETAGG.spad" 1840648 1840659 1844079 1844094) (-1106 "SETAGG.spad" 1837205 1837218 1840638 1840643) (-1105 "SEQAST.spad" 1836908 1836917 1837195 1837200) (-1104 "SEGXCAT.spad" 1836064 1836077 1836898 1836903) (-1103 "SEG.spad" 1835877 1835888 1835983 1835988) (-1102 "SEGCAT.spad" 1834802 1834813 1835867 1835872) (-1101 "SEGBIND.spad" 1834560 1834571 1834749 1834754) (-1100 "SEGBIND2.spad" 1834258 1834271 1834550 1834555) (-1099 "SEGAST.spad" 1833972 1833981 1834248 1834253) (-1098 "SEG2.spad" 1833407 1833420 1833928 1833933) (-1097 "SDVAR.spad" 1832683 1832694 1833397 1833402) (-1096 "SDPOL.spad" 1830109 1830120 1830400 1830527) (-1095 "SCPKG.spad" 1828198 1828209 1830099 1830104) (-1094 "SCOPE.spad" 1827351 1827360 1828188 1828193) (-1093 "SCACHE.spad" 1826047 1826058 1827341 1827346) (-1092 "SASTCAT.spad" 1825956 1825965 1826037 1826042) (-1091 "SAOS.spad" 1825828 1825837 1825946 1825951) (-1090 "SAERFFC.spad" 1825541 1825561 1825818 1825823) (-1089 "SAE.spad" 1823716 1823732 1824327 1824462) (-1088 "SAEFACT.spad" 1823417 1823437 1823706 1823711) (-1087 "RURPK.spad" 1821076 1821092 1823407 1823412) (-1086 "RULESET.spad" 1820529 1820553 1821066 1821071) (-1085 "RULE.spad" 1818769 1818793 1820519 1820524) (-1084 "RULECOLD.spad" 1818621 1818634 1818759 1818764) (-1083 "RTVALUE.spad" 1818356 1818365 1818611 1818616) (-1082 "RSTRCAST.spad" 1818073 1818082 1818346 1818351) (-1081 "RSETGCD.spad" 1814451 1814471 1818063 1818068) (-1080 "RSETCAT.spad" 1804387 1804404 1814419 1814446) (-1079 "RSETCAT.spad" 1794343 1794362 1804377 1804382) (-1078 "RSDCMPK.spad" 1792795 1792815 1794333 1794338) (-1077 "RRCC.spad" 1791179 1791209 1792785 1792790) (-1076 "RRCC.spad" 1789561 1789593 1791169 1791174) (-1075 "RPTAST.spad" 1789263 1789272 1789551 1789556) (-1074 "RPOLCAT.spad" 1768623 1768638 1789131 1789258) (-1073 "RPOLCAT.spad" 1747696 1747713 1768206 1768211) (-1072 "ROUTINE.spad" 1743579 1743588 1746343 1746370) (-1071 "ROMAN.spad" 1742907 1742916 1743445 1743574) (-1070 "ROIRC.spad" 1741987 1742019 1742897 1742902) (-1069 "RNS.spad" 1740890 1740899 1741889 1741982) (-1068 "RNS.spad" 1739879 1739890 1740880 1740885) (-1067 "RNG.spad" 1739614 1739623 1739869 1739874) (-1066 "RNGBIND.spad" 1738774 1738788 1739569 1739574) (-1065 "RMODULE.spad" 1738539 1738550 1738764 1738769) (-1064 "RMCAT2.spad" 1737959 1738016 1738529 1738534) (-1063 "RMATRIX.spad" 1736783 1736802 1737126 1737165) (-1062 "RMATCAT.spad" 1732362 1732393 1736739 1736778) (-1061 "RMATCAT.spad" 1727831 1727864 1732210 1732215) (-1060 "RLINSET.spad" 1727225 1727236 1727821 1727826) (-1059 "RINTERP.spad" 1727113 1727133 1727215 1727220) (-1058 "RING.spad" 1726583 1726592 1727093 1727108) (-1057 "RING.spad" 1726061 1726072 1726573 1726578) (-1056 "RIDIST.spad" 1725453 1725462 1726051 1726056) (-1055 "RGCHAIN.spad" 1724036 1724052 1724938 1724965) (-1054 "RGBCSPC.spad" 1723817 1723829 1724026 1724031) (-1053 "RGBCMDL.spad" 1723347 1723359 1723807 1723812) (-1052 "RF.spad" 1720989 1721000 1723337 1723342) (-1051 "RFFACTOR.spad" 1720451 1720462 1720979 1720984) (-1050 "RFFACT.spad" 1720186 1720198 1720441 1720446) (-1049 "RFDIST.spad" 1719182 1719191 1720176 1720181) (-1048 "RETSOL.spad" 1718601 1718614 1719172 1719177) (-1047 "RETRACT.spad" 1718029 1718040 1718591 1718596) (-1046 "RETRACT.spad" 1717455 1717468 1718019 1718024) (-1045 "RETAST.spad" 1717267 1717276 1717445 1717450) (-1044 "RESULT.spad" 1715327 1715336 1715914 1715941) (-1043 "RESRING.spad" 1714674 1714721 1715265 1715322) (-1042 "RESLATC.spad" 1713998 1714009 1714664 1714669) (-1041 "REPSQ.spad" 1713729 1713740 1713988 1713993) (-1040 "REP.spad" 1711283 1711292 1713719 1713724) (-1039 "REPDB.spad" 1710990 1711001 1711273 1711278) (-1038 "REP2.spad" 1700648 1700659 1710832 1710837) (-1037 "REP1.spad" 1694844 1694855 1700598 1700603) (-1036 "REGSET.spad" 1692641 1692658 1694490 1694517) (-1035 "REF.spad" 1691976 1691987 1692596 1692601) (-1034 "REDORDER.spad" 1691182 1691199 1691966 1691971) (-1033 "RECLOS.spad" 1689965 1689985 1690669 1690762) (-1032 "REALSOLV.spad" 1689105 1689114 1689955 1689960) (-1031 "REAL.spad" 1688977 1688986 1689095 1689100) (-1030 "REAL0Q.spad" 1686275 1686290 1688967 1688972) (-1029 "REAL0.spad" 1683119 1683134 1686265 1686270) (-1028 "RDUCEAST.spad" 1682840 1682849 1683109 1683114) (-1027 "RDIV.spad" 1682495 1682520 1682830 1682835) (-1026 "RDIST.spad" 1682062 1682073 1682485 1682490) (-1025 "RDETRS.spad" 1680926 1680944 1682052 1682057) (-1024 "RDETR.spad" 1679065 1679083 1680916 1680921) (-1023 "RDEEFS.spad" 1678164 1678181 1679055 1679060) (-1022 "RDEEF.spad" 1677174 1677191 1678154 1678159) (-1021 "RCFIELD.spad" 1674360 1674369 1677076 1677169) (-1020 "RCFIELD.spad" 1671632 1671643 1674350 1674355) (-1019 "RCAGG.spad" 1669560 1669571 1671622 1671627) (-1018 "RCAGG.spad" 1667415 1667428 1669479 1669484) (-1017 "RATRET.spad" 1666775 1666786 1667405 1667410) (-1016 "RATFACT.spad" 1666467 1666479 1666765 1666770) (-1015 "RANDSRC.spad" 1665786 1665795 1666457 1666462) (-1014 "RADUTIL.spad" 1665542 1665551 1665776 1665781) (-1013 "RADIX.spad" 1662463 1662477 1664009 1664102) (-1012 "RADFF.spad" 1660876 1660913 1660995 1661151) (-1011 "RADCAT.spad" 1660471 1660480 1660866 1660871) (-1010 "RADCAT.spad" 1660064 1660075 1660461 1660466) (-1009 "QUEUE.spad" 1659412 1659423 1659671 1659698) (-1008 "QUAT.spad" 1657993 1658004 1658336 1658401) (-1007 "QUATCT2.spad" 1657613 1657632 1657983 1657988) (-1006 "QUATCAT.spad" 1655783 1655794 1657543 1657608) (-1005 "QUATCAT.spad" 1653704 1653717 1655466 1655471) (-1004 "QUAGG.spad" 1652531 1652542 1653672 1653699) (-1003 "QQUTAST.spad" 1652299 1652308 1652521 1652526) (-1002 "QFORM.spad" 1651763 1651778 1652289 1652294) (-1001 "QFCAT.spad" 1650465 1650476 1651665 1651758) (-1000 "QFCAT.spad" 1648758 1648771 1649960 1649965) (-999 "QFCAT2.spad" 1648451 1648467 1648748 1648753) (-998 "QEQUAT.spad" 1648010 1648018 1648441 1648446) (-997 "QCMPACK.spad" 1642757 1642776 1648000 1648005) (-996 "QALGSET.spad" 1638836 1638868 1642671 1642676) (-995 "QALGSET2.spad" 1636832 1636850 1638826 1638831) (-994 "PWFFINTB.spad" 1634248 1634269 1636822 1636827) (-993 "PUSHVAR.spad" 1633587 1633606 1634238 1634243) (-992 "PTRANFN.spad" 1629715 1629725 1633577 1633582) (-991 "PTPACK.spad" 1626803 1626813 1629705 1629710) (-990 "PTFUNC2.spad" 1626626 1626640 1626793 1626798) (-989 "PTCAT.spad" 1625881 1625891 1626594 1626621) (-988 "PSQFR.spad" 1625188 1625212 1625871 1625876) (-987 "PSEUDLIN.spad" 1624074 1624084 1625178 1625183) (-986 "PSETPK.spad" 1609507 1609523 1623952 1623957) (-985 "PSETCAT.spad" 1603427 1603450 1609487 1609502) (-984 "PSETCAT.spad" 1597321 1597346 1603383 1603388) (-983 "PSCURVE.spad" 1596304 1596312 1597311 1597316) (-982 "PSCAT.spad" 1595087 1595116 1596202 1596299) (-981 "PSCAT.spad" 1593960 1593991 1595077 1595082) (-980 "PRTITION.spad" 1592658 1592666 1593950 1593955) (-979 "PRTDAST.spad" 1592377 1592385 1592648 1592653) (-978 "PRS.spad" 1581939 1581956 1592333 1592338) (-977 "PRQAGG.spad" 1581374 1581384 1581907 1581934) (-976 "PROPLOG.spad" 1580946 1580954 1581364 1581369) (-975 "PROPFUN2.spad" 1580569 1580582 1580936 1580941) (-974 "PROPFUN1.spad" 1579967 1579978 1580559 1580564) (-973 "PROPFRML.spad" 1578535 1578546 1579957 1579962) (-972 "PROPERTY.spad" 1578023 1578031 1578525 1578530) (-971 "PRODUCT.spad" 1575705 1575717 1575989 1576044) (-970 "PR.spad" 1574097 1574109 1574796 1574923) (-969 "PRINT.spad" 1573849 1573857 1574087 1574092) (-968 "PRIMES.spad" 1572102 1572112 1573839 1573844) (-967 "PRIMELT.spad" 1570183 1570197 1572092 1572097) (-966 "PRIMCAT.spad" 1569810 1569818 1570173 1570178) (-965 "PRIMARR.spad" 1568815 1568825 1568993 1569020) (-964 "PRIMARR2.spad" 1567582 1567594 1568805 1568810) (-963 "PREASSOC.spad" 1566964 1566976 1567572 1567577) (-962 "PPCURVE.spad" 1566101 1566109 1566954 1566959) (-961 "PORTNUM.spad" 1565876 1565884 1566091 1566096) (-960 "POLYROOT.spad" 1564725 1564747 1565832 1565837) (-959 "POLY.spad" 1562060 1562070 1562575 1562702) (-958 "POLYLIFT.spad" 1561325 1561348 1562050 1562055) (-957 "POLYCATQ.spad" 1559443 1559465 1561315 1561320) (-956 "POLYCAT.spad" 1552913 1552934 1559311 1559438) (-955 "POLYCAT.spad" 1545721 1545744 1552121 1552126) (-954 "POLY2UP.spad" 1545173 1545187 1545711 1545716) (-953 "POLY2.spad" 1544770 1544782 1545163 1545168) (-952 "POLUTIL.spad" 1543711 1543740 1544726 1544731) (-951 "POLTOPOL.spad" 1542459 1542474 1543701 1543706) (-950 "POINT.spad" 1541297 1541307 1541384 1541411) (-949 "PNTHEORY.spad" 1537999 1538007 1541287 1541292) (-948 "PMTOOLS.spad" 1536774 1536788 1537989 1537994) (-947 "PMSYM.spad" 1536323 1536333 1536764 1536769) (-946 "PMQFCAT.spad" 1535914 1535928 1536313 1536318) (-945 "PMPRED.spad" 1535393 1535407 1535904 1535909) (-944 "PMPREDFS.spad" 1534847 1534869 1535383 1535388) (-943 "PMPLCAT.spad" 1533927 1533945 1534779 1534784) (-942 "PMLSAGG.spad" 1533512 1533526 1533917 1533922) (-941 "PMKERNEL.spad" 1533091 1533103 1533502 1533507) (-940 "PMINS.spad" 1532671 1532681 1533081 1533086) 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(-638 "LIB.spad" 1001196 1001204 1001805 1001820) (-637 "LGROBP.spad" 998549 998568 1001186 1001191) (-636 "LF.spad" 997504 997520 998539 998544) (-635 "LFCAT.spad" 996563 996571 997494 997499) (-634 "LEXTRIPK.spad" 992066 992081 996553 996558) (-633 "LEXP.spad" 990069 990096 992046 992061) (-632 "LETAST.spad" 989768 989776 990059 990064) (-631 "LEADCDET.spad" 988166 988183 989758 989763) (-630 "LAZM3PK.spad" 986870 986892 988156 988161) (-629 "LAUPOL.spad" 985563 985576 986463 986532) (-628 "LAPLACE.spad" 985146 985162 985553 985558) (-627 "LA.spad" 984586 984600 985068 985107) (-626 "LALG.spad" 984362 984372 984566 984581) (-625 "LALG.spad" 984146 984158 984352 984357) (-624 "KVTFROM.spad" 983881 983891 984136 984141) (-623 "KTVLOGIC.spad" 983393 983401 983871 983876) (-622 "KRCFROM.spad" 983131 983141 983383 983388) (-621 "KOVACIC.spad" 981854 981871 983121 983126) (-620 "KONVERT.spad" 981576 981586 981844 981849) (-619 "KOERCE.spad" 981313 981323 981566 981571) (-618 "KERNEL.spad" 979968 979978 981097 981102) (-617 "KERNEL2.spad" 979671 979683 979958 979963) (-616 "KDAGG.spad" 978780 978802 979651 979666) (-615 "KDAGG.spad" 977897 977921 978770 978775) (-614 "KAFILE.spad" 976860 976876 977095 977122) (-613 "JORDAN.spad" 974689 974701 976150 976295) (-612 "JOINAST.spad" 974383 974391 974679 974684) (-611 "JAVACODE.spad" 974249 974257 974373 974378) (-610 "IXAGG.spad" 972382 972406 974239 974244) (-609 "IXAGG.spad" 970370 970396 972229 972234) (-608 "IVECTOR.spad" 969140 969155 969295 969322) (-607 "ITUPLE.spad" 968301 968311 969130 969135) (-606 "ITRIGMNP.spad" 967140 967159 968291 968296) (-605 "ITFUN3.spad" 966646 966660 967130 967135) (-604 "ITFUN2.spad" 966390 966402 966636 966641) (-603 "ITFORM.spad" 965745 965753 966380 966385) (-602 "ITAYLOR.spad" 963739 963754 965609 965706) (-601 "ISUPS.spad" 956176 956191 962713 962810) (-600 "ISUMP.spad" 955677 955693 956166 956171) (-599 "ISTRING.spad" 954765 954778 954846 954873) (-598 "ISAST.spad" 954484 954492 954755 954760) (-597 "IRURPK.spad" 953201 953220 954474 954479) (-596 "IRSN.spad" 951173 951181 953191 953196) (-595 "IRRF2F.spad" 949658 949668 951129 951134) (-594 "IRREDFFX.spad" 949259 949270 949648 949653) (-593 "IROOT.spad" 947598 947608 949249 949254) (-592 "IR.spad" 945399 945413 947453 947480) (-591 "IRFORM.spad" 944723 944731 945389 945394) (-590 "IR2.spad" 943751 943767 944713 944718) (-589 "IR2F.spad" 942957 942973 943741 943746) (-588 "IPRNTPK.spad" 942717 942725 942947 942952) (-587 "IPF.spad" 942282 942294 942522 942615) (-586 "IPADIC.spad" 942043 942069 942208 942277) (-585 "IP4ADDR.spad" 941600 941608 942033 942038) (-584 "IOMODE.spad" 941122 941130 941590 941595) (-583 "IOBFILE.spad" 940483 940491 941112 941117) (-582 "IOBCON.spad" 940348 940356 940473 940478) (-581 "INVLAPLA.spad" 939997 940013 940338 940343) (-580 "INTTR.spad" 933379 933396 939987 939992) (-579 "INTTOOLS.spad" 931134 931150 932953 932958) (-578 "INTSLPE.spad" 930454 930462 931124 931129) (-577 "INTRVL.spad" 930020 930030 930368 930449) (-576 "INTRF.spad" 928444 928458 930010 930015) (-575 "INTRET.spad" 927876 927886 928434 928439) (-574 "INTRAT.spad" 926603 926620 927866 927871) (-573 "INTPM.spad" 924988 925004 926246 926251) (-572 "INTPAF.spad" 922852 922870 924920 924925) (-571 "INTPACK.spad" 913226 913234 922842 922847) (-570 "INT.spad" 912674 912682 913080 913221) (-569 "INTHERTR.spad" 911948 911965 912664 912669) (-568 "INTHERAL.spad" 911618 911642 911938 911943) (-567 "INTHEORY.spad" 908057 908065 911608 911613) (-566 "INTG0.spad" 901790 901808 907989 907994) (-565 "INTFTBL.spad" 895819 895827 901780 901785) (-564 "INTFACT.spad" 894878 894888 895809 895814) (-563 "INTEF.spad" 893263 893279 894868 894873) (-562 "INTDOM.spad" 891886 891894 893189 893258) (-561 "INTDOM.spad" 890571 890581 891876 891881) (-560 "INTCAT.spad" 888830 888840 890485 890566) (-559 "INTBIT.spad" 888337 888345 888820 888825) (-558 "INTALG.spad" 887525 887552 888327 888332) (-557 "INTAF.spad" 887025 887041 887515 887520) (-556 "INTABL.spad" 885543 885574 885706 885733) (-555 "INT8.spad" 885423 885431 885533 885538) (-554 "INT64.spad" 885302 885310 885413 885418) (-553 "INT32.spad" 885181 885189 885292 885297) (-552 "INT16.spad" 885060 885068 885171 885176) (-551 "INS.spad" 882563 882571 884962 885055) (-550 "INS.spad" 880152 880162 882553 882558) (-549 "INPSIGN.spad" 879600 879613 880142 880147) (-548 "INPRODPF.spad" 878696 878715 879590 879595) (-547 "INPRODFF.spad" 877784 877808 878686 878691) (-546 "INNMFACT.spad" 876759 876776 877774 877779) (-545 "INMODGCD.spad" 876247 876277 876749 876754) (-544 "INFSP.spad" 874544 874566 876237 876242) (-543 "INFPROD0.spad" 873624 873643 874534 874539) (-542 "INFORM.spad" 870823 870831 873614 873619) (-541 "INFORM1.spad" 870448 870458 870813 870818) (-540 "INFINITY.spad" 870000 870008 870438 870443) (-539 "INETCLTS.spad" 869977 869985 869990 869995) (-538 "INEP.spad" 868515 868537 869967 869972) (-537 "INDE.spad" 868244 868261 868505 868510) (-536 "INCRMAPS.spad" 867665 867675 868234 868239) (-535 "INBFILE.spad" 866737 866745 867655 867660) (-534 "INBFF.spad" 862531 862542 866727 866732) (-533 "INBCON.spad" 860821 860829 862521 862526) (-532 "INBCON.spad" 859109 859119 860811 860816) (-531 "INAST.spad" 858770 858778 859099 859104) (-530 "IMPTAST.spad" 858478 858486 858760 858765) (-529 "IMATRIX.spad" 857423 857449 857935 857962) (-528 "IMATQF.spad" 856517 856561 857379 857384) (-527 "IMATLIN.spad" 855122 855146 856473 856478) (-526 "ILIST.spad" 853780 853795 854305 854332) (-525 "IIARRAY2.spad" 853168 853206 853387 853414) (-524 "IFF.spad" 852578 852594 852849 852942) (-523 "IFAST.spad" 852192 852200 852568 852573) (-522 "IFARRAY.spad" 849685 849700 851375 851402) (-521 "IFAMON.spad" 849547 849564 849641 849646) (-520 "IEVALAB.spad" 848952 848964 849537 849542) (-519 "IEVALAB.spad" 848355 848369 848942 848947) (-518 "IDPO.spad" 848153 848165 848345 848350) (-517 "IDPOAMS.spad" 847909 847921 848143 848148) (-516 "IDPOAM.spad" 847629 847641 847899 847904) (-515 "IDPC.spad" 846567 846579 847619 847624) (-514 "IDPAM.spad" 846312 846324 846557 846562) (-513 "IDPAG.spad" 846059 846071 846302 846307) (-512 "IDENT.spad" 845709 845717 846049 846054) (-511 "IDECOMP.spad" 842948 842966 845699 845704) (-510 "IDEAL.spad" 837897 837936 842883 842888) (-509 "ICDEN.spad" 837086 837102 837887 837892) (-508 "ICARD.spad" 836277 836285 837076 837081) (-507 "IBPTOOLS.spad" 834884 834901 836267 836272) (-506 "IBITS.spad" 834087 834100 834520 834547) (-505 "IBATOOL.spad" 831064 831083 834077 834082) (-504 "IBACHIN.spad" 829571 829586 831054 831059) (-503 "IARRAY2.spad" 828559 828585 829178 829205) (-502 "IARRAY1.spad" 827604 827619 827742 827769) (-501 "IAN.spad" 825827 825835 827420 827513) (-500 "IALGFACT.spad" 825430 825463 825817 825822) (-499 "HYPCAT.spad" 824854 824862 825420 825425) (-498 "HYPCAT.spad" 824276 824286 824844 824849) (-497 "HOSTNAME.spad" 824084 824092 824266 824271) (-496 "HOMOTOP.spad" 823827 823837 824074 824079) (-495 "HOAGG.spad" 821109 821119 823817 823822) (-494 "HOAGG.spad" 818166 818178 820876 820881) (-493 "HEXADEC.spad" 816268 816276 816633 816726) (-492 "HEUGCD.spad" 815303 815314 816258 816263) (-491 "HELLFDIV.spad" 814893 814917 815293 815298) (-490 "HEAP.spad" 814285 814295 814500 814527) (-489 "HEADAST.spad" 813818 813826 814275 814280) (-488 "HDP.spad" 803661 803677 804038 804169) (-487 "HDMP.spad" 800875 800890 801491 801618) (-486 "HB.spad" 799126 799134 800865 800870) (-485 "HASHTBL.spad" 797596 797627 797807 797834) (-484 "HASAST.spad" 797312 797320 797586 797591) (-483 "HACKPI.spad" 796803 796811 797214 797307) (-482 "GTSET.spad" 795742 795758 796449 796476) (-481 "GSTBL.spad" 794261 794296 794435 794450) (-480 "GSERIES.spad" 791432 791459 792393 792542) (-479 "GROUP.spad" 790705 790713 791412 791427) (-478 "GROUP.spad" 789986 789996 790695 790700) (-477 "GROEBSOL.spad" 788480 788501 789976 789981) (-476 "GRMOD.spad" 787051 787063 788470 788475) (-475 "GRMOD.spad" 785620 785634 787041 787046) (-474 "GRIMAGE.spad" 778509 778517 785610 785615) (-473 "GRDEF.spad" 776888 776896 778499 778504) (-472 "GRAY.spad" 775351 775359 776878 776883) (-471 "GRALG.spad" 774428 774440 775341 775346) (-470 "GRALG.spad" 773503 773517 774418 774423) (-469 "GPOLSET.spad" 772957 772980 773185 773212) (-468 "GOSPER.spad" 772226 772244 772947 772952) (-467 "GMODPOL.spad" 771374 771401 772194 772221) (-466 "GHENSEL.spad" 770457 770471 771364 771369) (-465 "GENUPS.spad" 766750 766763 770447 770452) (-464 "GENUFACT.spad" 766327 766337 766740 766745) (-463 "GENPGCD.spad" 765913 765930 766317 766322) (-462 "GENMFACT.spad" 765365 765384 765903 765908) (-461 "GENEEZ.spad" 763316 763329 765355 765360) (-460 "GDMP.spad" 760372 760389 761146 761273) (-459 "GCNAALG.spad" 754295 754322 760166 760233) (-458 "GCDDOM.spad" 753471 753479 754221 754290) (-457 "GCDDOM.spad" 752709 752719 753461 753466) (-456 "GB.spad" 750235 750273 752665 752670) (-455 "GBINTERN.spad" 746255 746293 750225 750230) (-454 "GBF.spad" 742022 742060 746245 746250) (-453 "GBEUCLID.spad" 739904 739942 742012 742017) (-452 "GAUSSFAC.spad" 739217 739225 739894 739899) (-451 "GALUTIL.spad" 737543 737553 739173 739178) (-450 "GALPOLYU.spad" 735997 736010 737533 737538) (-449 "GALFACTU.spad" 734170 734189 735987 735992) (-448 "GALFACT.spad" 724359 724370 734160 734165) (-447 "FVFUN.spad" 721382 721390 724349 724354) (-446 "FVC.spad" 720434 720442 721372 721377) (-445 "FUNDESC.spad" 720112 720120 720424 720429) (-444 "FUNCTION.spad" 719961 719973 720102 720107) (-443 "FT.spad" 718258 718266 719951 719956) (-442 "FTEM.spad" 717423 717431 718248 718253) (-441 "FSUPFACT.spad" 716323 716342 717359 717364) (-440 "FST.spad" 714409 714417 716313 716318) (-439 "FSRED.spad" 713889 713905 714399 714404) (-438 "FSPRMELT.spad" 712771 712787 713846 713851) (-437 "FSPECF.spad" 710862 710878 712761 712766) (-436 "FS.spad" 705130 705140 710637 710857) (-435 "FS.spad" 699176 699188 704685 704690) (-434 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"FMTC.spad" 637765 637773 637893 637962) (-392 "FMONOID.spad" 637430 637440 637721 637726) (-391 "FMONCAT.spad" 634583 634593 637420 637425) (-390 "FM.spad" 634278 634290 634517 634544) (-389 "FMFUN.spad" 631308 631316 634268 634273) (-388 "FMC.spad" 630360 630368 631298 631303) (-387 "FMCAT.spad" 628028 628046 630328 630355) (-386 "FM1.spad" 627385 627397 627962 627989) (-385 "FLOATRP.spad" 625120 625134 627375 627380) (-384 "FLOAT.spad" 618434 618442 624986 625115) (-383 "FLOATCP.spad" 615865 615879 618424 618429) (-382 "FLINEXP.spad" 615577 615587 615845 615860) (-381 "FLINEXP.spad" 615243 615255 615513 615518) (-380 "FLASORT.spad" 614569 614581 615233 615238) (-379 "FLALG.spad" 612215 612234 614495 614564) (-378 "FLAGG.spad" 609257 609267 612195 612210) (-377 "FLAGG.spad" 606200 606212 609140 609145) (-376 "FLAGG2.spad" 604925 604941 606190 606195) (-375 "FINRALG.spad" 602986 602999 604881 604920) (-374 "FINRALG.spad" 600973 600988 602870 602875) (-373 "FINITE.spad" 600125 600133 600963 600968) (-372 "FINAALG.spad" 589246 589256 600067 600120) (-371 "FINAALG.spad" 578379 578391 589202 589207) (-370 "FILE.spad" 577962 577972 578369 578374) (-369 "FILECAT.spad" 576488 576505 577952 577957) (-368 "FIELD.spad" 575894 575902 576390 576483) (-367 "FIELD.spad" 575386 575396 575884 575889) (-366 "FGROUP.spad" 574033 574043 575366 575381) (-365 "FGLMICPK.spad" 572820 572835 574023 574028) (-364 "FFX.spad" 572195 572210 572536 572629) (-363 "FFSLPE.spad" 571698 571719 572185 572190) (-362 "FFPOLY.spad" 562960 562971 571688 571693) (-361 "FFPOLY2.spad" 562020 562037 562950 562955) (-360 "FFP.spad" 561417 561437 561736 561829) (-359 "FF.spad" 560865 560881 561098 561191) (-358 "FFNBX.spad" 559377 559397 560581 560674) (-357 "FFNBP.spad" 557890 557907 559093 559186) (-356 "FFNB.spad" 556355 556376 557571 557664) (-355 "FFINTBAS.spad" 553869 553888 556345 556350) (-354 "FFIELDC.spad" 551446 551454 553771 553864) (-353 "FFIELDC.spad" 549109 549119 551436 551441) (-352 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"E04AGNT.spad" 371718 371726 375858 375863) (-269 "DVARCAT.spad" 368407 368417 371708 371713) (-268 "DVARCAT.spad" 365094 365106 368397 368402) (-267 "DSMP.spad" 362561 362575 362866 362993) (-266 "DROPT.spad" 356520 356528 362551 362556) (-265 "DROPT1.spad" 356185 356195 356510 356515) (-264 "DROPT0.spad" 351042 351050 356175 356180) (-263 "DRAWPT.spad" 349215 349223 351032 351037) (-262 "DRAW.spad" 342091 342104 349205 349210) (-261 "DRAWHACK.spad" 341399 341409 342081 342086) (-260 "DRAWCX.spad" 338869 338877 341389 341394) (-259 "DRAWCURV.spad" 338416 338431 338859 338864) (-258 "DRAWCFUN.spad" 327948 327956 338406 338411) (-257 "DQAGG.spad" 326126 326136 327916 327943) (-256 "DPOLCAT.spad" 321475 321491 325994 326121) (-255 "DPOLCAT.spad" 316910 316928 321431 321436) (-254 "DPMO.spad" 309136 309152 309274 309575) (-253 "DPMM.spad" 301375 301393 301500 301801) (-252 "DOMTMPLT.spad" 301035 301043 301365 301370) (-251 "DOMCTOR.spad" 300790 300798 301025 301030) (-250 "DOMAIN.spad" 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270093) (-229 "DHMATRIX.spad" 268048 268058 269193 269220) (-228 "DFSFUN.spad" 261688 261696 268038 268043) (-227 "DFLOAT.spad" 258419 258427 261578 261683) (-226 "DFINTTLS.spad" 256650 256666 258409 258414) (-225 "DERHAM.spad" 254564 254596 256630 256645) (-224 "DEQUEUE.spad" 253888 253898 254171 254198) (-223 "DEGRED.spad" 253505 253519 253878 253883) (-222 "DEFINTRF.spad" 251042 251052 253495 253500) (-221 "DEFINTEF.spad" 249552 249568 251032 251037) (-220 "DEFAST.spad" 248920 248928 249542 249547) (-219 "DECIMAL.spad" 247026 247034 247387 247480) (-218 "DDFACT.spad" 244839 244856 247016 247021) (-217 "DBLRESP.spad" 244439 244463 244829 244834) (-216 "DBASE.spad" 243103 243113 244429 244434) (-215 "DATAARY.spad" 242565 242578 243093 243098) (-214 "D03FAFA.spad" 242393 242401 242555 242560) (-213 "D03EEFA.spad" 242213 242221 242383 242388) (-212 "D03AGNT.spad" 241299 241307 242203 242208) (-211 "D02EJFA.spad" 240761 240769 241289 241294) (-210 "D02CJFA.spad" 240239 240247 240751 240756) (-209 "D02BHFA.spad" 239729 239737 240229 240234) (-208 "D02BBFA.spad" 239219 239227 239719 239724) (-207 "D02AGNT.spad" 234033 234041 239209 239214) (-206 "D01WGTS.spad" 232352 232360 234023 234028) (-205 "D01TRNS.spad" 232329 232337 232342 232347) (-204 "D01GBFA.spad" 231851 231859 232319 232324) (-203 "D01FCFA.spad" 231373 231381 231841 231846) (-202 "D01ASFA.spad" 230841 230849 231363 231368) (-201 "D01AQFA.spad" 230287 230295 230831 230836) (-200 "D01APFA.spad" 229711 229719 230277 230282) (-199 "D01ANFA.spad" 229205 229213 229701 229706) (-198 "D01AMFA.spad" 228715 228723 229195 229200) (-197 "D01ALFA.spad" 228255 228263 228705 228710) (-196 "D01AKFA.spad" 227781 227789 228245 228250) (-195 "D01AJFA.spad" 227304 227312 227771 227776) (-194 "D01AGNT.spad" 223371 223379 227294 227299) (-193 "CYCLOTOM.spad" 222877 222885 223361 223366) (-192 "CYCLES.spad" 219669 219677 222867 222872) (-191 "CVMP.spad" 219086 219096 219659 219664) (-190 "CTRIGMNP.spad" 217586 217602 219076 219081) (-189 "CTOR.spad" 217277 217285 217576 217581) (-188 "CTORKIND.spad" 216880 216888 217267 217272) (-187 "CTORCAT.spad" 216129 216137 216870 216875) (-186 "CTORCAT.spad" 215376 215386 216119 216124) (-185 "CTORCALL.spad" 214965 214975 215366 215371) (-184 "CSTTOOLS.spad" 214210 214223 214955 214960) (-183 "CRFP.spad" 207934 207947 214200 214205) (-182 "CRCEAST.spad" 207654 207662 207924 207929) (-181 "CRAPACK.spad" 206705 206715 207644 207649) (-180 "CPMATCH.spad" 206209 206224 206630 206635) (-179 "CPIMA.spad" 205914 205933 206199 206204) (-178 "COORDSYS.spad" 200923 200933 205904 205909) (-177 "CONTOUR.spad" 200334 200342 200913 200918) (-176 "CONTFRAC.spad" 196084 196094 200236 200329) (-175 "CONDUIT.spad" 195842 195850 196074 196079) (-174 "COMRING.spad" 195516 195524 195780 195837) (-173 "COMPPROP.spad" 195034 195042 195506 195511) (-172 "COMPLPAT.spad" 194801 194816 195024 195029) (-171 "COMPLEX.spad" 188938 188948 189182 189443) (-170 "COMPLEX2.spad" 188653 188665 188928 188933) (-169 "COMPILER.spad" 188202 188210 188643 188648) (-168 "COMPFACT.spad" 187804 187818 188192 188197) (-167 "COMPCAT.spad" 185876 185886 187538 187799) (-166 "COMPCAT.spad" 183676 183688 185340 185345) (-165 "COMMUPC.spad" 183424 183442 183666 183671) (-164 "COMMONOP.spad" 182957 182965 183414 183419) (-163 "COMM.spad" 182768 182776 182947 182952) (-162 "COMMAAST.spad" 182531 182539 182758 182763) (-161 "COMBOPC.spad" 181446 181454 182521 182526) (-160 "COMBINAT.spad" 180213 180223 181436 181441) (-159 "COMBF.spad" 177595 177611 180203 180208) (-158 "COLOR.spad" 176432 176440 177585 177590) (-157 "COLONAST.spad" 176098 176106 176422 176427) (-156 "CMPLXRT.spad" 175809 175826 176088 176093) (-155 "CLLCTAST.spad" 175471 175479 175799 175804) (-154 "CLIP.spad" 171579 171587 175461 175466) (-153 "CLIF.spad" 170234 170250 171535 171574) (-152 "CLAGG.spad" 166739 166749 170224 170229) (-151 "CLAGG.spad" 163115 163127 166602 166607) (-150 "CINTSLPE.spad" 162446 162459 163105 163110) (-149 "CHVAR.spad" 160584 160606 162436 162441) (-148 "CHARZ.spad" 160499 160507 160564 160579) (-147 "CHARPOL.spad" 160009 160019 160489 160494) (-146 "CHARNZ.spad" 159762 159770 159989 160004) (-145 "CHAR.spad" 157636 157644 159752 159757) (-144 "CFCAT.spad" 156964 156972 157626 157631) (-143 "CDEN.spad" 156160 156174 156954 156959) (-142 "CCLASS.spad" 154309 154317 155571 155610) (-141 "CATEGORY.spad" 153351 153359 154299 154304) (-140 "CATCTOR.spad" 153242 153250 153341 153346) (-139 "CATAST.spad" 152860 152868 153232 153237) (-138 "CASEAST.spad" 152574 152582 152850 152855) (-137 "CARTEN.spad" 147861 147885 152564 152569) (-136 "CARTEN2.spad" 147251 147278 147851 147856) (-135 "CARD.spad" 144546 144554 147225 147246) (-134 "CAPSLAST.spad" 144320 144328 144536 144541) (-133 "CACHSET.spad" 143944 143952 144310 144315) (-132 "CABMON.spad" 143499 143507 143934 143939) (-131 "BYTEORD.spad" 143174 143182 143489 143494) (-130 "BYTE.spad" 142601 142609 143164 143169) (-129 "BYTEBUF.spad" 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\ No newline at end of file diff --git a/src/share/algebra/category.daase b/src/share/algebra/category.daase index dafdedee..46719da2 100644 --- a/src/share/algebra/category.daase +++ b/src/share/algebra/category.daase @@ -1,15 +1,15 @@ -(188640 . 3480912616) -(((|#2| |#2|) -12 (|has| |#2| (-313 |#2|)) (|has| |#2| (-1109))) ((#0=(-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) #0#) |has| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (-313 (-2 (|:| -2107 |#1|) (|:| -2340 |#2|))))) -((((-570)) . T) (($) -2895 (|has| |#1| (-311)) (|has| |#1| (-368)) (|has| |#1| (-354)) (|has| |#1| (-562))) (((-413 (-570))) -2895 (|has| |#1| (-368)) (|has| |#1| (-354)) (|has| |#1| (-1047 (-413 (-570))))) ((|#1|) . T)) +(188640 . 3480995952) +(((|#2| |#2|) -12 (|has| |#2| (-313 |#2|)) (|has| |#2| (-1109))) ((#0=(-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) #0#) |has| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (-313 (-2 (|:| -2106 |#1|) (|:| -2340 |#2|))))) +((((-570)) . 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T) (((-413 (-570))) |has| |#2| (-38 (-413 (-570))))) +((($) -2892 (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-458)) (|has| |#2| (-562)) (|has| |#2| (-916))) ((|#2|) . T) (((-413 (-570))) |has| |#2| (-38 (-413 (-570))))) (|has| |#1| (-916)) ((((-868)) . T)) ((((-868)) . T)) @@ -24,19 +24,19 @@ ((((-227)) . T) (((-868)) . T)) (((|#1|) -12 (|has| |#1| (-313 |#1|)) (|has| |#1| (-1109)))) (((|#1|) . T)) -(-2895 (|has| |#1| (-21)) (|has| |#1| (-854))) -((($ $) . T) ((#0=(-413 (-570)) #0#) -2895 (|has| |#1| (-368)) (|has| |#1| (-354))) ((|#1| |#1|) . T)) -(-2895 (|has| |#1| (-826)) (|has| |#1| (-856))) +(-2892 (|has| |#1| (-21)) (|has| |#1| (-854))) +((($ $) . T) ((#0=(-413 (-570)) #0#) -2892 (|has| |#1| (-368)) (|has| |#1| (-354))) ((|#1| |#1|) . T)) +(-2892 (|has| |#1| (-826)) (|has| |#1| (-856))) ((((-413 (-570))) |has| |#1| (-1047 (-413 (-570)))) (((-570)) |has| |#1| (-1047 (-570))) ((|#1|) . T)) ((((-868)) . T)) ((((-868)) . T)) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-562))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-562))) (|has| |#1| (-854)) (((|#1| |#1|) -12 (|has| |#1| (-313 |#1|)) (|has| |#1| (-1109)))) ((((-320 |#1|)) . T) (((-570)) . T) (($) . T)) (((|#1| |#2| |#3|) . T)) ((((-570)) . T) (((-876 |#1|)) . T) (($) . T) (((-413 (-570))) . T)) -((($) . T) (((-413 (-570))) -2895 (|has| |#1| (-368)) (|has| |#1| (-354))) ((|#1|) . T)) +((($) . T) (((-413 (-570))) -2892 (|has| |#1| (-368)) (|has| |#1| (-354))) ((|#1|) . T)) ((((-413 (-570))) . T) (((-705)) . T) (($) . T)) ((((-868)) . T)) ((((-1191)) . T)) @@ -49,14 +49,14 @@ (((|#1|) . T) ((|#2|) . T)) ((((-1191)) . T)) (((|#1|) . T) (((-570)) |has| |#1| (-1047 (-570))) (((-413 (-570))) |has| |#1| (-1047 (-413 (-570))))) -(-2895 (|has| |#2| (-174)) (|has| |#2| (-458)) (|has| |#2| (-562)) (|has| |#2| (-916))) -(-2895 (|has| |#1| (-174)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) -(((|#2| (-488 (-2570 |#1|) (-777))) . 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T) (($) -2892 (|has| |#1| (-174)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916)))) +((($) -2892 (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) . T) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) +((($) -2892 (|has| |#2| (-174)) (|has| |#2| (-854)) (|has| |#2| (-1058))) ((|#2|) -2892 (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-1058)))) ((((-868)) . T)) ((((-868)) . T)) ((((-868)) . T)) @@ -249,10 +249,10 @@ ((((-171 (-227))) |has| |#1| (-1031)) (((-171 (-384))) |has| |#1| (-1031)) (((-542)) |has| |#1| (-620 (-542))) (((-1182 |#1|)) . T) (((-899 (-570))) |has| |#1| (-620 (-899 (-570)))) (((-899 (-384))) |has| |#1| (-620 (-899 (-384))))) (((|#1| |#1|) -12 (|has| |#1| (-313 |#1|)) (|has| |#1| (-1109)))) (((|#1|) . 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T)) (-12 (|has| |#4| (-235)) (|has| |#4| (-1058))) (-12 (|has| |#3| (-235)) (|has| |#3| (-1058))) -(-2895 (|has| |#4| (-174)) (|has| |#4| (-854)) (|has| |#4| (-1058))) -(-2895 (|has| |#3| (-174)) (|has| |#3| (-854)) (|has| |#3| (-1058))) +(-2892 (|has| |#4| (-174)) (|has| |#4| (-854)) (|has| |#4| (-1058))) +(-2892 (|has| |#3| (-174)) (|has| |#3| (-854)) (|has| |#3| (-1058))) ((((-868)) . T) (((-1191)) . T)) ((((-868)) . T) (((-1191)) . T)) ((((-1191)) . T)) @@ -270,14 +270,14 @@ (((|#1|) . T)) ((((-413 (-570))) |has| |#1| (-1047 (-413 (-570)))) (((-570)) |has| |#1| (-1047 (-570))) ((|#1|) . T)) (((|#1|) . T) (((-570)) |has| |#1| (-645 (-570)))) -(((|#2|) . T) (((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) -(((|#1|) . T) (((-2 (|:| -2107 (-1168)) (|:| -2340 |#1|))) . T)) +(((|#2|) . T) (((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) +(((|#1|) . T) (((-2 (|:| -2106 (-1168)) (|:| -2340 |#1|))) . 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T)) (|has| |#1| (-562)) (|has| |#1| (-562)) @@ -290,21 +290,21 @@ ((((-413 |#2|)) . T) (((-413 (-570))) . T) (($) . T)) (-12 (|has| |#1| (-1109)) (|has| |#2| (-1109))) ((($) . T) (((-413 (-570))) |has| |#1| (-38 (-413 (-570)))) ((|#1|) . T)) -((((-413 (-570))) -2895 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) (((-1184 |#1| |#2| |#3|)) |has| |#1| (-368)) (($) . T) ((|#1|) . T)) -(((|#1|) . T) (((-413 (-570))) -2895 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) (($) . T)) +((((-413 (-570))) -2892 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) (((-1184 |#1| |#2| |#3|)) |has| |#1| (-368)) (($) . T) ((|#1|) . T)) +(((|#1|) . T) (((-413 (-570))) -2892 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) (($) . T)) (((|#1|) . T) (((-413 (-570))) |has| |#1| (-38 (-413 (-570)))) (($) . 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T)) (((|#1| (-980)) . T)) ((((-570)) . T) ((|#2|) . T)) @@ -351,7 +351,7 @@ (((|#1|) . T)) (((|#2| |#2|) . T)) (|has| |#1| (-1161)) -((((-2 (|:| -2107 (-1168)) (|:| -2340 |#1|))) . T)) +((((-2 (|:| -2106 (-1168)) (|:| -2340 |#1|))) . T)) (|has| (-1263 |#1| |#2| |#3| |#4|) (-146)) (|has| (-1263 |#1| |#2| |#3| |#4|) (-148)) (|has| |#1| (-146)) @@ -363,27 +363,27 @@ (((|#2|) . T)) (((|#1|) . T)) (((|#2|) . T) (((-570)) |has| |#2| (-645 (-570)))) -((((-1134 |#1| (-1186))) . T) (((-570)) . T) (((-824 (-1186))) . T) (($) -2895 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) . T) (((-413 (-570))) -2895 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-1047 (-413 (-570))))) (((-1186)) . T)) +((((-1134 |#1| (-1186))) . T) (((-570)) . T) (((-824 (-1186))) . T) (($) -2892 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) . T) (((-413 (-570))) -2892 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-1047 (-413 (-570))))) (((-1186)) . 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T)) @@ -769,35 +769,35 @@ (|has| |#4| (-174)) (|has| |#3| (-174)) (((#0=(-413 (-959 |#1|)) #0#) . T)) -(-2895 (|has| |#1| (-856)) (|has| |#1| (-1109))) +(-2892 (|has| |#1| (-856)) (|has| |#1| (-1109))) (|has| |#1| (-1109)) -(-2895 (|has| |#1| (-856)) (|has| |#1| (-1109))) +(-2892 (|has| |#1| (-856)) (|has| |#1| (-1109))) (|has| |#1| (-1109)) -((((-868)) -2895 (|has| |#1| (-619 (-868))) (|has| |#1| (-856)) (|has| |#1| (-1109)))) +((((-868)) -2892 (|has| |#1| (-619 (-868))) (|has| |#1| (-856)) (|has| |#1| (-1109)))) ((((-542)) |has| |#1| (-620 (-542)))) -(-2895 (|has| |#1| (-856)) (|has| |#1| (-1109))) +(-2892 (|has| |#1| (-856)) (|has| |#1| (-1109))) ((((-868)) . T) (((-1191)) . T)) ((((-1191)) . T)) (((|#1| |#1|) |has| |#1| (-174))) -((($ $) -2895 (|has| |#1| (-174)) (|has| |#1| (-562))) ((|#1| |#1|) . T) ((#0=(-413 (-570)) #0#) |has| |#1| (-38 (-413 (-570))))) +((($ $) -2892 (|has| |#1| (-174)) (|has| |#1| (-562))) ((|#1| |#1|) . 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T)) ((((-868)) . T)) ((((-868)) . T)) @@ -814,34 +814,34 @@ (|has| |#1| (-1109)) (((|#2|) . T)) ((((-542)) |has| |#2| (-620 (-542))) (((-899 (-384))) |has| |#2| (-620 (-899 (-384)))) (((-899 (-570))) |has| |#2| (-620 (-899 (-570))))) -(((|#4|) -2895 (|has| |#4| (-174)) (|has| |#4| (-368)))) -(((|#3|) -2895 (|has| |#3| (-174)) (|has| |#3| (-368)))) +(((|#4|) -2892 (|has| |#4| (-174)) (|has| |#4| (-368)))) +(((|#3|) -2892 (|has| |#3| (-174)) (|has| |#3| (-368)))) ((((-868)) . T)) (((|#1|) . 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T)) (|has| (-413 |#2|) (-148)) (|has| (-413 |#2|) (-146)) @@ -854,15 +854,15 @@ (|has| |#1| (-562)) (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-38 (-413 (-570)))) -((((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) +((((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) ((((-868)) . T)) -((((-2 (|:| -2107 (-1168)) (|:| -2340 |#1|))) . T)) +((((-2 (|:| -2106 (-1168)) (|:| -2340 |#1|))) . T)) (|has| |#1| (-38 (-413 (-570)))) -((((-394) (-2 (|:| -2107 (-1168)) (|:| -2340 |#1|))) . T)) +((((-394) (-2 (|:| -2106 (-1168)) (|:| -2340 |#1|))) . T)) (|has| |#1| (-38 (-413 (-570)))) (|has| |#2| (-1161)) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-562))) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-562))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-562))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-562))) ((((-868)) . T) (((-1191)) . T)) ((((-868)) . T) (((-1191)) . T)) ((((-868)) . T) (((-1191)) . T)) @@ -880,7 +880,7 @@ ((((-394) (-1168)) . T)) (|has| |#1| (-562)) ((((-570) |#1|) . 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T) (((-413 (-570))) -2895 (|has| |#1| (-368)) (|has| |#1| (-354))) ((|#1|) . T)) +((((-868)) -2892 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) +((($) . T) (((-413 (-570))) -2892 (|has| |#1| (-368)) (|has| |#1| (-354))) ((|#1|) . T)) ((((-868)) . T)) ((((-1184 |#1| |#2| |#3|) $) -12 (|has| (-1184 |#1| |#2| |#3|) (-290 (-1184 |#1| |#2| |#3|) (-1184 |#1| |#2| |#3|))) (|has| |#1| (-368))) (($ $) . T)) ((($ $) . T)) @@ -934,14 +934,14 @@ (((|#1|) . T)) (((|#1|) . T)) ((((-570)) . T) (($) . T)) -((($) -2895 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) +((($) -2892 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) ((($) . T) (((-570)) . T) ((|#2|) . T)) ((((-570)) . T) (($) . T) ((|#2|) . T) (((-413 (-570))) |has| |#2| (-38 (-413 (-570))))) ((((-413 (-570))) . T) (((-570)) . T)) ((((-570) (-145)) . 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T)) -(-2895 (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-562))) -(-2895 (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-562))) -(-2895 (|has| |#1| (-174)) (|has| |#1| (-562))) +(-2892 (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-562))) +(-2892 (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-562))) +(-2892 (|has| |#1| (-174)) (|has| |#1| (-562))) ((((-868)) . T)) ((((-868)) . T)) ((((-868)) . T)) (((|#1| (-1277 |#1|) (-1277 |#1|)) . T)) ((((-570) (-145)) . T)) ((($) . T)) -(-2895 (|has| |#4| (-174)) (|has| |#4| (-854)) (|has| |#4| (-1058))) -(-2895 (|has| |#3| (-174)) (|has| |#3| (-854)) (|has| |#3| (-1058))) +(-2892 (|has| |#4| (-174)) (|has| |#4| (-854)) (|has| |#4| (-1058))) +(-2892 (|has| |#3| (-174)) (|has| |#3| (-854)) (|has| |#3| (-1058))) ((((-1191)) . T) (((-868)) . T)) ((((-1191)) . T)) ((((-868)) . T)) @@ -982,20 +982,20 @@ (((|#1| (-980)) . T)) (((|#1| |#1|) . T)) ((($) . T)) -(-2895 (|has| |#2| (-799)) (|has| |#2| (-854))) -(-2895 (|has| |#2| (-799)) (|has| |#2| (-854))) +(-2892 (|has| |#2| (-799)) (|has| |#2| (-854))) +(-2892 (|has| |#2| (-799)) (|has| |#2| (-854))) (-12 (|has| |#1| (-479)) (|has| |#2| (-479))) -(-2895 (|has| |#2| (-174)) (|has| |#2| (-732)) (|has| |#2| (-854)) (|has| |#2| (-1058))) +(-2892 (|has| |#2| (-174)) (|has| |#2| (-732)) (|has| |#2| (-854)) (|has| |#2| (-1058))) ((($) . T) (((-570)) . T) (((-876 |#1|)) . T) (((-413 (-570))) . T)) (((|#1|) . T)) (|has| |#2| (-799)) -(-2895 (|has| |#2| (-799)) (|has| |#2| (-854))) +(-2892 (|has| |#2| (-799)) (|has| |#2| (-854))) (((|#1| |#2|) . T)) (((|#1|) -12 (|has| |#1| (-313 |#1|)) (|has| |#1| (-1109)))) (|has| |#2| (-854)) (-12 (|has| |#1| (-799)) (|has| |#2| (-799))) (-12 (|has| |#1| (-799)) (|has| |#2| (-799))) -(-2895 (-12 (|has| |#1| (-479)) (|has| |#2| (-479))) (-12 (|has| |#1| (-732)) (|has| |#2| (-732)))) +(-2892 (-12 (|has| |#1| (-479)) (|has| |#2| (-479))) (-12 (|has| |#1| (-732)) (|has| |#2| (-732)))) (((|#1| |#2|) . T)) (((|#1|) |has| |#1| (-174)) ((|#4|) . T) (((-570)) . T)) (((|#2|) |has| |#2| (-174))) @@ -1007,7 +1007,7 @@ (((|#1|) . T)) ((((-413 (-570))) . T) (($) . T)) (((|#2|) . T) (($) . T) (((-413 (-570))) . T)) -((($) . T) (((-413 (-570))) -2895 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) ((|#1|) . T)) +((($) . T) (((-413 (-570))) -2892 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) ((|#1|) . T)) (|has| |#1| (-834)) ((((-413 (-570))) |has| |#1| (-1047 (-413 (-570)))) (((-570)) |has| |#1| (-1047 (-570))) ((|#1|) . T)) (|has| |#1| (-1109)) @@ -1018,13 +1018,13 @@ (((|#4|) |has| |#4| (-1109))) (((|#3|) |has| |#3| (-1109))) (|has| |#3| (-373)) -((($) |has| |#1| (-562)) ((|#1|) . T) (((-413 (-570))) -2895 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-1047 (-413 (-570))))) (((-570)) . T)) -((((-413 (-570))) -2895 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) (($) -2895 (|has| |#1| (-368)) (|has| |#1| (-562))) (((-1269 |#1| |#2| |#3|)) |has| |#1| (-368)) ((|#1|) |has| |#1| (-174))) +((($) |has| |#1| (-562)) ((|#1|) . T) (((-413 (-570))) -2892 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-1047 (-413 (-570))))) (((-570)) . T)) +((((-413 (-570))) -2892 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) (($) -2892 (|has| |#1| (-368)) (|has| |#1| (-562))) (((-1269 |#1| |#2| |#3|)) |has| |#1| (-368)) ((|#1|) |has| |#1| (-174))) ((((-868)) . T)) ((((-868)) . T)) (((|#2|) . T)) (((|#1| |#2|) . T)) -(((|#1|) |has| |#1| (-174)) (((-413 (-570))) -2895 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) (($) -2895 (|has| |#1| (-368)) (|has| |#1| (-562)))) +(((|#1|) |has| |#1| (-174)) (((-413 (-570))) -2892 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) (($) -2892 (|has| |#1| (-368)) (|has| |#1| (-562)))) ((($) |has| |#1| (-562)) ((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) (((|#1| |#1|) |has| |#1| (-174))) (|has| |#2| (-368)) @@ -1032,19 +1032,19 @@ (((|#1|) |has| |#1| (-174))) ((((-413 (-570))) . T) (((-570)) . T)) ((($) . T) (((-570)) . T) (((-413 (-570))) |has| |#2| (-38 (-413 (-570)))) ((|#2|) . T)) -((($ $) -2895 (|has| |#1| (-174)) (|has| |#1| (-562))) ((|#1| |#1|) . T) ((#0=(-413 (-570)) #0#) |has| |#1| (-38 (-413 (-570))))) +((($ $) -2892 (|has| |#1| (-174)) (|has| |#1| (-562))) ((|#1| |#1|) . T) ((#0=(-413 (-570)) #0#) |has| |#1| (-38 (-413 (-570))))) ((($) . T) (((-570)) . 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T)) -(-2895 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-562)) (|has| |#1| (-1058))) +(-2892 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-562)) (|has| |#1| (-1058))) (((|#1|) |has| |#1| (-174))) (|has| $ (-148)) (|has| $ (-148)) @@ -1054,15 +1054,15 @@ ((((-868)) . T)) (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-38 (-413 (-570)))) -(-2895 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-479)) (|has| |#1| (-562)) (|has| |#1| (-1058)) (|has| |#1| (-1121))) +(-2892 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-479)) (|has| |#1| (-562)) (|has| |#1| (-1058)) (|has| |#1| (-1121))) ((($ $) |has| |#1| (-290 $ $)) ((|#1| $) |has| |#1| (-290 |#1| |#1|))) (((|#1| (-413 (-570))) . T)) (((|#1|) . T)) ((((-413 (-570))) . T) (((-570)) . T) (($) . T)) ((((-1186)) . T)) (|has| |#1| (-562)) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-562))) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-562))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-562))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-562))) (|has| |#1| (-562)) (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-38 (-413 (-570)))) @@ -1073,7 +1073,7 @@ (|has| |#1| (-148)) (|has| |#1| (-146)) (|has| |#4| (-854)) -(((|#2| (-242 (-2570 |#1|) (-777)) (-870 |#1|)) . T)) +(((|#2| (-242 (-2569 |#1|) (-777)) (-870 |#1|)) . T)) (|has| |#3| (-854)) (((|#1| (-537 |#3|) |#3|) . T)) (|has| |#1| (-148)) @@ -1087,21 +1087,21 @@ (|has| |#1| (-148)) ((((-413 (-570))) |has| |#2| (-368)) (($) . 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T)) -(-2895 (|has| |#2| (-174)) (|has| |#2| (-854)) (|has| |#2| (-1058))) +(-2892 (|has| |#2| (-174)) (|has| |#2| (-854)) (|has| |#2| (-1058))) (|has| |#1| (-562)) (((|#1|) . T)) (((|#1|) . T)) @@ -1125,11 +1125,11 @@ (((|#1| (-413 (-570))) . T)) (((|#3|) . T) (((-618 $)) . T)) (((|#1| |#2|) . T)) -((((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) +((((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) (((|#1|) . T)) (((|#1|) -12 (|has| |#1| (-313 |#1|)) (|has| |#1| (-1109)))) -((((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) -((((-570)) -2895 (|has| |#2| (-174)) (|has| |#2| (-854)) (-12 (|has| |#2| (-1047 (-570))) (|has| |#2| (-1109))) (|has| |#2| (-1058))) ((|#2|) -2895 (|has| |#2| (-174)) (|has| |#2| (-1109))) (((-413 (-570))) -12 (|has| |#2| (-1047 (-413 (-570)))) (|has| |#2| (-1109)))) +((((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) +((((-570)) -2892 (|has| |#2| (-174)) (|has| |#2| (-854)) (-12 (|has| |#2| (-1047 (-570))) (|has| |#2| (-1109))) (|has| |#2| (-1058))) ((|#2|) -2892 (|has| |#2| (-174)) (|has| |#2| (-1109))) (((-413 (-570))) -12 (|has| |#2| (-1047 (-413 (-570)))) (|has| |#2| (-1109)))) (((|#1|) . T) (((-413 (-570))) . T) (($) . T)) ((($ $) . T) ((|#2| $) . T)) ((((-570)) . T) (($) . T) (((-413 (-570))) . T)) @@ -1137,8 +1137,8 @@ ((((-868)) . T)) ((((-868)) . T)) (((|#1| |#1|) . T)) -(((|#2|) -12 (|has| |#2| (-313 |#2|)) (|has| |#2| (-1109))) (((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) |has| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (-313 (-2 (|:| -2107 |#1|) (|:| -2340 |#2|))))) -(((|#1|) -12 (|has| |#1| (-313 |#1|)) (|has| |#1| (-1109))) (((-2 (|:| -2107 (-1168)) (|:| -2340 |#1|))) |has| (-2 (|:| -2107 (-1168)) (|:| -2340 |#1|)) (-313 (-2 (|:| -2107 (-1168)) (|:| -2340 |#1|))))) +(((|#2|) -12 (|has| |#2| (-313 |#2|)) (|has| |#2| (-1109))) (((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) |has| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (-313 (-2 (|:| -2106 |#1|) (|:| -2340 |#2|))))) +(((|#1|) -12 (|has| |#1| (-313 |#1|)) (|has| |#1| (-1109))) (((-2 (|:| -2106 (-1168)) (|:| -2340 |#1|))) |has| (-2 (|:| -2106 (-1168)) (|:| -2340 |#1|)) (-313 (-2 (|:| -2106 (-1168)) (|:| -2340 |#1|))))) ((((-868)) . T)) (((|#1|) . T)) (((|#3| |#3|) . T)) @@ -1152,10 +1152,10 @@ ((($) . T) (((-570)) . T) (((-413 (-570))) |has| |#1| (-38 (-413 (-570)))) ((|#1|) . T)) ((((-570)) . T) (($) . 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T)) -((($) -2895 (|has| |#1| (-311)) (|has| |#1| (-368)) (|has| |#1| (-354)) (|has| |#1| (-562))) (((-413 (-570))) -2895 (|has| |#1| (-368)) (|has| |#1| (-354))) ((|#1|) . T)) +((($) -2892 (|has| |#1| (-311)) (|has| |#1| (-368)) (|has| |#1| (-354)) (|has| |#1| (-562))) (((-413 (-570))) -2892 (|has| |#1| (-368)) (|has| |#1| (-354))) ((|#1|) . T)) ((((-570) |#2|) . T)) (((|#1| |#2|) . T)) (((|#1| |#2|) . T)) @@ -1213,41 +1213,41 @@ (-12 (|has| |#1| (-373)) (|has| |#2| (-373))) ((((-868)) . T)) ((((-1186) |#1|) |has| |#1| (-520 (-1186) |#1|)) ((|#1| |#1|) |has| |#1| (-313 |#1|))) -(-2895 (|has| |#1| (-146)) (|has| |#1| (-373))) -(-2895 (|has| |#1| (-146)) (|has| |#1| (-373))) -(-2895 (|has| |#1| (-146)) (|has| |#1| (-373))) +(-2892 (|has| |#1| (-146)) (|has| |#1| (-373))) +(-2892 (|has| |#1| (-146)) (|has| |#1| (-373))) +(-2892 (|has| |#1| (-146)) (|has| |#1| (-373))) (((|#1|) . 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T)) (((|#1|) |has| |#1| (-313 |#1|))) @@ -1257,11 +1257,11 @@ (|has| |#1| (-373)) ((((-1186) $) |has| |#1| (-520 (-1186) $)) (($ $) |has| |#1| (-313 $)) ((|#1| |#1|) |has| |#1| (-313 |#1|)) (((-1186) |#1|) |has| |#1| (-520 (-1186) |#1|))) ((((-1186)) |has| |#1| (-907 (-1186)))) -(-2895 (-12 (|has| |#1| (-235)) (|has| |#1| (-368))) (|has| |#1| (-354))) +(-2892 (-12 (|has| |#1| (-235)) (|has| |#1| (-368))) (|has| |#1| (-354))) (((|#1| |#4|) . T)) (((|#1| |#3|) . T)) ((((-394) |#1|) . T)) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-354))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-354))) (|has| |#1| (-1109)) (((|#2|) . T) (((-868)) . T)) ((((-868)) . T)) @@ -1269,8 +1269,8 @@ ((((-917 |#1|)) . T)) ((((-868)) . T) (((-1191)) . T)) ((((-1191)) . T)) -((((-413 (-570))) |has| |#2| (-38 (-413 (-570)))) ((|#2|) |has| |#2| (-174)) (($) -2895 (|has| |#2| (-458)) (|has| |#2| (-562)) (|has| |#2| (-916)))) -((((-413 (-570))) |has| |#1| (-38 (-413 (-570)))) ((|#1|) |has| |#1| (-174)) (($) -2895 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916)))) +((((-413 (-570))) |has| |#2| (-38 (-413 (-570)))) ((|#2|) |has| |#2| (-174)) (($) -2892 (|has| |#2| (-458)) (|has| |#2| (-562)) (|has| |#2| (-916)))) +((((-413 (-570))) |has| |#1| (-38 (-413 (-570)))) ((|#1|) |has| |#1| (-174)) (($) -2892 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916)))) (((|#1| |#2|) . T)) ((($) . T)) ((((-570)) . T) (($) . T) (((-413 (-570))) . T)) @@ -1279,16 +1279,16 @@ (((|#1|) . T) (((-413 (-570))) . T) (($) . T) (((-570)) . T)) (((|#1| |#1|) . T)) (((#0=(-876 |#1|)) |has| #0# (-313 #0#))) -((((-570)) . 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T)) (|has| |#1| (-1212)) (((#0=(-570) #0#) . T) ((#1=(-413 (-570)) #1#) . T) (($ $) . T)) @@ -1300,8 +1300,8 @@ (((|#1| |#1|) . T) (($ $) . T) ((#0=(-413 (-570)) #0#) . T)) (|has| |#1| (-368)) ((((-570)) . T) (((-413 (-570))) . T) (($) . T)) -((($ $) . T) ((#0=(-413 (-570)) #0#) -2895 (|has| |#1| (-368)) (|has| |#1| (-354))) ((|#1| |#1|) . T)) -((((-868)) -2895 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) +((($ $) . T) ((#0=(-413 (-570)) #0#) -2892 (|has| |#1| (-368)) (|has| |#1| (-354))) ((|#1| |#1|) . T)) +((((-868)) -2892 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) (((|#1|) . T) (($) . T) (((-413 (-570))) . T)) ((((-868)) . T)) ((((-868)) . T)) @@ -1316,29 +1316,29 @@ (((|#1| |#2|) . T)) (|has| |#1| (-854)) (|has| |#1| (-854)) -((($) . T) (((-413 (-570))) -2895 (|has| |#1| (-368)) (|has| |#1| (-354))) ((|#1|) . T)) -(-2895 (|has| |#1| (-174)) (|has| |#1| (-562))) +((($) . T) (((-413 (-570))) -2892 (|has| |#1| (-368)) (|has| |#1| (-354))) ((|#1|) . 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T)) -(((|#2|) -2895 (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-1058))) (($) |has| |#2| (-174))) +(((|#2|) -2892 (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-1058))) (($) |has| |#2| (-174))) (|has| $ (-148)) ((((-413 |#2|)) . T)) ((((-413 (-570))) |has| #0=(-413 |#2|) (-1047 (-413 (-570)))) (((-570)) |has| #0# (-1047 (-570))) ((#0#) . T)) @@ -1485,11 +1485,11 @@ (((|#3|) |has| |#3| (-174))) (|has| |#1| (-148)) (|has| |#1| (-146)) -(-2895 (|has| |#1| (-146)) (|has| |#1| (-373))) +(-2892 (|has| |#1| (-146)) (|has| |#1| (-373))) (|has| |#1| (-148)) -(-2895 (|has| |#1| (-146)) (|has| |#1| (-373))) +(-2892 (|has| |#1| (-146)) (|has| |#1| (-373))) (|has| |#1| (-148)) -(-2895 (|has| |#1| (-146)) (|has| |#1| (-373))) +(-2892 (|has| |#1| (-146)) (|has| |#1| (-373))) (|has| |#1| (-148)) (((|#1|) . T)) (|has| |#2| (-235)) @@ -1527,7 +1527,7 @@ ((((-1008 |#1|)) . T) ((|#1|) . T)) ((((-868)) . T)) ((((-868)) . T)) -((((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . 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T)) @@ -1550,7 +1550,7 @@ (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-38 (-413 (-570)))) ((((-1269 |#1| |#2| |#3|)) |has| |#1| (-368))) -(((|#2| |#2|) -12 (|has| |#2| (-313 |#2|)) (|has| |#2| (-1109))) ((#0=(-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) #0#) |has| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (-313 (-2 (|:| -2107 |#1|) (|:| -2340 |#2|))))) +(((|#2| |#2|) -12 (|has| |#2| (-313 |#2|)) (|has| |#2| (-1109))) ((#0=(-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) #0#) |has| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (-313 (-2 (|:| -2106 |#1|) (|:| -2340 |#2|))))) (((|#2| |#2|) . T)) (|has| |#1| (-1109)) (|has| |#2| (-368)) @@ -1560,16 +1560,16 @@ (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-38 (-413 (-570)))) (((|#1|) |has| |#1| (-174))) -((((-413 (-570))) |has| |#1| (-38 (-413 (-570)))) ((|#1|) |has| |#1| (-174)) (($) -2895 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916)))) -((($) -2895 (|has| |#1| (-368)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) +((((-413 (-570))) |has| |#1| (-38 (-413 (-570)))) ((|#1|) |has| |#1| (-174)) (($) -2892 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916)))) +((($) -2892 (|has| |#1| (-368)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) (((|#2|) . T)) (((|#1|) . T)) ((((-1168) (-52)) . T)) (((|#1|) . T)) -((((-413 (-570))) |has| |#1| (-38 (-413 (-570)))) ((|#1|) . 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T) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) (((|#2|) |has| |#2| (-174))) -((($) -2895 (|has| |#2| (-174)) (|has| |#2| (-854)) (|has| |#2| (-1058))) (((-570)) -2895 (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-854)) (|has| |#2| (-1058))) ((|#2|) -2895 (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-1058)))) +((($) -2892 (|has| |#2| (-174)) (|has| |#2| (-854)) (|has| |#2| (-1058))) (((-570)) -2892 (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-854)) (|has| |#2| (-1058))) ((|#2|) -2892 (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-1058)))) ((((-570) |#3|) . T)) ((((-570) (-145)) . T)) ((((-145)) . T)) @@ -1595,19 +1595,19 @@ (((|#1|) -12 (|has| |#1| (-313 |#1|)) (|has| |#1| (-1109)))) (((|#1| |#2|) . T)) ((((-570) (-145)) . T)) -(((#0=(-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) #0#) |has| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (-313 (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)))) ((|#2| |#2|) -12 (|has| |#2| (-313 |#2|)) (|has| |#2| (-1109)))) -((($) -2895 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) +(((#0=(-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) #0#) |has| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (-313 (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)))) ((|#2| |#2|) -12 (|has| |#2| (-313 |#2|)) (|has| |#2| (-1109)))) +((($) -2892 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) (|has| |#1| (-856)) (((|#2| (-777) (-1091)) . T)) (((|#1| |#2|) . T)) -(-2895 (|has| |#1| (-174)) (|has| |#1| (-562))) +(-2892 (|has| |#1| (-174)) (|has| |#1| (-562))) (|has| |#1| (-797)) (((|#1|) |has| |#1| (-174))) (((|#4|) . T)) (((|#4|) . T)) (((|#1| |#2|) . T)) -(-2895 (|has| |#1| (-148)) (-12 (|has| |#1| (-368)) (|has| |#2| (-148)))) -(-2895 (|has| |#1| (-146)) (-12 (|has| |#1| (-368)) (|has| |#2| (-146)))) +(-2892 (|has| |#1| (-148)) (-12 (|has| |#1| (-368)) (|has| |#2| (-148)))) +(-2892 (|has| |#1| (-146)) (-12 (|has| |#1| (-368)) (|has| |#2| (-146)))) (((|#4|) . T)) (|has| |#1| (-146)) ((((-1168) |#1|) . T)) @@ -1621,24 +1621,24 @@ (((|#3|) . T)) ((((-1269 |#1| |#2| |#3|)) |has| |#1| (-368))) ((($) . T) (((-570)) . T) (((-413 (-570))) |has| |#1| (-38 (-413 (-570)))) ((|#1|) . T)) -((((-413 (-570))) -2895 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) (((-1184 |#1| |#2| |#3|)) |has| |#1| (-368)) (((-570)) . T) (($) . T) ((|#1|) . T)) -(((|#1|) . T) (((-413 (-570))) -2895 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) (((-570)) . T) (($) . T)) +((((-413 (-570))) -2892 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) (((-1184 |#1| |#2| |#3|)) |has| |#1| (-368)) (((-570)) . T) (($) . T) ((|#1|) . T)) +(((|#1|) . 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T)) -(((|#4|) -2895 (|has| |#4| (-174)) (|has| |#4| (-368)))) -(((|#3|) -2895 (|has| |#3| (-174)) (|has| |#3| (-368)))) +(((|#4|) -2892 (|has| |#4| (-174)) (|has| |#4| (-368)))) +(((|#3|) -2892 (|has| |#3| (-174)) (|has| |#3| (-368)))) (|has| |#2| (-368)) (((|#1|) |has| |#1| (-174))) -(((|#4|) -2895 (|has| |#4| (-174)) (|has| |#4| (-368)) (|has| |#4| (-1058))) (($) |has| |#4| (-174))) -(((|#3|) -2895 (|has| |#3| (-174)) (|has| |#3| (-368)) (|has| |#3| (-1058))) (($) |has| |#3| (-174))) +(((|#4|) -2892 (|has| |#4| (-174)) (|has| |#4| (-368)) (|has| |#4| (-1058))) (($) |has| |#4| (-174))) +(((|#3|) -2892 (|has| |#3| (-174)) (|has| |#3| (-368)) (|has| |#3| (-1058))) (($) |has| |#3| (-174))) (((|#2|) |has| |#2| (-1058))) ((((-1168) |#1|) . T)) (((|#3| |#3|) -12 (|has| |#3| (-313 |#3|)) (|has| |#3| (-1109)))) @@ -1647,8 +1647,8 @@ ((($) . T) (((-570)) . T) (((-413 (-570))) |has| |#2| (-38 (-413 (-570)))) ((|#2|) . T)) ((((-394) (-1168)) . T)) ((($) |has| |#1| (-562)) ((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) -((((-868)) -2895 (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-619 (-868))) (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-373)) (|has| |#2| (-732)) (|has| |#2| (-799)) (|has| |#2| (-854)) (|has| |#2| (-1058)) (|has| |#2| (-1109))) (((-1277 |#2|)) . T)) -(((#0=(-52)) . T) (((-2 (|:| -2107 (-1168)) (|:| -2340 #0#))) . T)) +((((-868)) -2892 (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-619 (-868))) (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-373)) (|has| |#2| (-732)) (|has| |#2| (-799)) (|has| |#2| (-854)) (|has| |#2| (-1058)) (|has| |#2| (-1109))) (((-1277 |#2|)) . T)) +(((#0=(-52)) . T) (((-2 (|:| -2106 (-1168)) (|:| -2340 #0#))) . T)) (((|#1|) . T)) ((((-868)) . T)) (((|#2| |#2|) -12 (|has| |#2| (-313 |#2|)) (|has| |#2| (-1109)))) @@ -1657,7 +1657,7 @@ ((((-570)) . T)) (|has| |#2| (-148)) (|has| |#1| (-479)) -(-2895 (|has| |#1| (-479)) (|has| |#1| (-732)) (|has| |#1| (-907 (-1186))) (|has| |#1| (-1058))) +(-2892 (|has| |#1| (-479)) (|has| |#1| (-732)) (|has| |#1| (-907 (-1186))) (|has| |#1| (-1058))) (|has| |#1| (-368)) ((((-868)) . T)) (|has| |#1| (-38 (-413 (-570)))) @@ -1668,8 +1668,8 @@ (|has| |#1| (-854)) ((((-868)) . T)) (((|#2|) . T)) -((((-413 (-570))) -2895 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) (($) -2895 (|has| |#1| (-368)) (|has| |#1| (-562))) (((-1269 |#1| |#2| |#3|)) |has| |#1| (-368)) ((|#1|) |has| |#1| (-174))) -(((|#1|) |has| |#1| (-174)) (((-413 (-570))) -2895 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) (($) -2895 (|has| |#1| (-368)) (|has| |#1| (-562)))) +((((-413 (-570))) -2892 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) (($) -2892 (|has| |#1| (-368)) (|has| |#1| (-562))) (((-1269 |#1| |#2| |#3|)) |has| |#1| (-368)) ((|#1|) |has| |#1| (-174))) +(((|#1|) |has| |#1| (-174)) (((-413 (-570))) -2892 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) (($) -2892 (|has| |#1| (-368)) (|has| |#1| (-562)))) ((($) |has| |#1| (-562)) ((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) (((|#2|) . T) (((-570)) . T) (((-825 |#1|)) . T)) (((|#1| |#2|) . T)) @@ -1678,7 +1678,7 @@ ((((-868)) . T)) ((((-868)) . T)) (|has| |#1| (-1109)) -(((|#2| (-488 (-2570 |#1|) (-777)) (-870 |#1|)) . T)) +(((|#2| (-488 (-2569 |#1|) (-777)) (-870 |#1|)) . T)) ((((-413 (-570))) . #0=(|has| |#2| (-368))) (($) . #0#)) (((|#1| (-537 (-1186)) (-1186)) . T)) (((|#1|) . T)) @@ -1699,17 +1699,17 @@ (((|#2|) |has| |#2| (-174))) (((|#1|) . T)) (((|#2|) . T)) -(((|#1|) . T) (((-2 (|:| -2107 (-1168)) (|:| -2340 |#1|))) . T)) -((((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) +(((|#1|) . T) (((-2 (|:| -2106 (-1168)) (|:| -2340 |#1|))) . T)) +((((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) (((|#2|) . T)) -((((-2 (|:| -2107 (-1186)) (|:| -2340 (-52)))) . T)) +((((-2 (|:| -2106 (-1186)) (|:| -2340 (-52)))) . T)) ((((-1184 |#1| |#2| |#3|)) |has| |#1| (-368))) -((((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) +((((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) ((((-1186) (-52)) . T)) ((($ $) . T)) (((|#1| (-570)) . T)) ((((-917 |#1|)) . T)) -(((|#1|) -2895 (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-1058))) (($) -2895 (|has| |#1| (-907 (-1186))) (|has| |#1| (-1058)))) +(((|#1|) -2892 (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-1058))) (($) -2892 (|has| |#1| (-907 (-1186))) (|has| |#1| (-1058)))) (((|#1|) . T) (((-570)) |has| |#1| (-1047 (-570))) (((-413 (-570))) |has| |#1| (-1047 (-413 (-570))))) (|has| |#1| (-856)) (|has| |#1| (-856)) @@ -1728,13 +1728,13 @@ (((|#4| |#4|) -12 (|has| |#4| (-313 |#4|)) (|has| |#4| (-1109)))) (((|#1|) |has| |#1| (-174))) (((|#4| |#4|) -12 (|has| |#4| (-313 |#4|)) (|has| |#4| (-1109)))) -(((|#3|) -2895 (|has| |#3| (-174)) (|has| |#3| (-368)))) -((($) -2895 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) -(-2895 (|has| |#2| (-368)) (|has| |#2| (-458)) (|has| |#2| (-916))) -((($) -2895 (|has| |#1| (-174)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) . T) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) +(((|#3|) -2892 (|has| |#3| (-174)) (|has| |#3| (-368)))) +((($) -2892 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) +(-2892 (|has| |#2| (-368)) (|has| |#2| (-458)) (|has| |#2| (-916))) +((($) -2892 (|has| |#1| (-174)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) . T) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) ((($ $) . T) ((#0=(-413 (-570)) #0#) . T)) ((((-570) |#2|) . T)) -(((|#2|) -2895 (|has| |#2| (-174)) (|has| |#2| (-368)))) +(((|#2|) -2892 (|has| |#2| (-174)) (|has| |#2| (-368)))) (|has| |#1| (-354)) (((|#3| |#3|) -12 (|has| |#3| (-313 |#3|)) (|has| |#3| (-1109)))) (((|#2|) . T) (((-570)) . T)) @@ -1743,7 +1743,7 @@ (|has| |#1| (-826)) (|has| |#1| (-826)) (((|#1|) . T)) -(-2895 (|has| |#1| (-311)) (|has| |#1| (-368)) (|has| |#1| (-354))) +(-2892 (|has| |#1| (-311)) (|has| |#1| (-368)) (|has| |#1| (-354))) (|has| |#1| (-854)) (|has| |#1| (-854)) (|has| |#1| (-854)) @@ -1752,14 +1752,14 @@ ((((-570)) . T) (($) . T) (((-413 (-570))) . T)) (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-38 (-413 (-570)))) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-354))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-354))) (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-38 (-413 (-570)))) -((((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) +((((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) ((((-1186)) |has| |#1| (-907 (-1186))) (((-1091)) . T)) (((|#1|) . T)) (|has| |#1| (-854)) -(((#0=(-2 (|:| -2107 (-1168)) (|:| -2340 (-52))) #0#) |has| (-2 (|:| -2107 (-1168)) (|:| -2340 (-52))) (-313 (-2 (|:| -2107 (-1168)) (|:| -2340 (-52)))))) +(((#0=(-2 (|:| -2106 (-1168)) (|:| -2340 (-52))) #0#) |has| (-2 (|:| -2106 (-1168)) (|:| -2340 (-52))) (-313 (-2 (|:| -2106 (-1168)) (|:| -2340 (-52)))))) (((|#1| |#1|) -12 (|has| |#1| (-313 |#1|)) (|has| |#1| (-1109)))) (|has| |#1| (-1109)) ((((-868)) . T) (((-1191)) . T)) @@ -1782,11 +1782,11 @@ (((|#1| (-777) (-1091)) . T)) (((|#3|) . T)) ((((-145)) . T)) -((((-413 (-570))) |has| |#1| (-1047 (-413 (-570)))) (((-570)) -2895 (|has| |#1| (-854)) (|has| |#1| (-1047 (-570)))) ((|#1|) . T)) +((((-413 (-570))) |has| |#1| (-1047 (-413 (-570)))) (((-570)) -2892 (|has| |#1| (-854)) (|has| |#1| (-1047 (-570)))) ((|#1|) . T)) (((|#1|) . T)) ((((-145)) . 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T)) (|has| |#1| (-1212)) (|has| |#1| (-1212)) -(-2895 (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-373)) (|has| |#2| (-732)) (|has| |#2| (-799)) (|has| |#2| (-854)) (|has| |#2| (-1058)) (|has| |#2| (-1109))) +(-2892 (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-373)) (|has| |#2| (-732)) (|has| |#2| (-799)) (|has| |#2| (-854)) (|has| |#2| (-1058)) (|has| |#2| (-1109))) (|has| |#1| (-1212)) (|has| |#1| (-1212)) ((((-570)) . T) (($) . T) (((-413 (-570))) . T)) @@ -1885,16 +1885,16 @@ ((((-1168) (-52)) . T)) (|has| |#1| (-1109)) (((|#1|) |has| |#1| (-174)) (($) . T)) -(-2895 (|has| |#2| (-826)) (|has| |#2| (-856))) +(-2892 (|has| |#2| (-826)) (|has| |#2| (-856))) (((|#1|) . T) (($) . T) (((-413 (-570))) . T)) (((|#1|) . T) (((-413 (-570))) . T) (($) . T)) (((|#1|) . T)) ((((-570)) . T) (($) . T) (((-413 (-570))) . T)) ((((-570)) . T) (((-413 (-570))) . T) (($) . 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T)) @@ -1902,37 +1902,37 @@ (|has| |#2| (-916)) (|has| |#1| (-368)) (((|#2|) |has| |#2| (-1109))) -(-2895 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) -(-2895 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) +(-2892 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) +(-2892 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((((-542)) . T) (((-413 (-1182 (-570)))) . T) (((-227)) . T) (((-384)) . T)) ((((-384)) . T) (((-227)) . T) (((-868)) . T)) (|has| |#1| (-916)) (|has| |#1| (-916)) (|has| |#1| (-916)) -(-2895 (|has| |#1| (-458)) (|has| |#1| (-916))) +(-2892 (|has| |#1| (-458)) (|has| |#1| (-916))) ((($) . T)) -(-2895 (|has| |#1| (-856)) (|has| |#1| (-1109))) +(-2892 (|has| |#1| (-856)) (|has| |#1| (-1109))) ((($) . T) ((|#2|) . 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T)) -(-2895 (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-562))) +(-2892 (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-562))) (|has| |#1| (-38 (-413 (-570)))) (((|#1| (-570)) . T)) ((($) . T)) @@ -1955,7 +1955,7 @@ (((|#1| (-777)) . T)) (((|#1|) . T)) ((((-868)) . T)) -((((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) +((((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) (|has| |#1| (-1109)) ((((-1168) |#1|) . T)) ((($) . T)) @@ -1975,19 +1975,19 @@ (((|#1|) . T)) ((((-570)) . T)) ((((-868)) . T)) -(-2895 (|has| |#1| (-146)) (|has| |#1| (-354))) +(-2892 (|has| |#1| (-146)) (|has| |#1| (-354))) ((((-868)) . T)) (|has| |#1| (-148)) (((|#3|) . T)) -(-2895 (|has| |#3| (-174)) (|has| |#3| (-854)) (|has| |#3| (-1058))) +(-2892 (|has| |#3| (-174)) (|has| |#3| (-854)) (|has| |#3| (-1058))) ((((-868)) . T)) ((((-1262 |#2| |#3| |#4|)) . T) (((-1263 |#1| |#2| |#3| |#4|)) . T)) ((((-868)) . T)) -((((-48)) -12 (|has| |#1| (-562)) (|has| |#1| (-1047 (-570)))) (((-618 $)) . T) ((|#1|) . 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T)) -(((|#2|) -2895 (|has| |#2| (-174)) (|has| |#2| (-368)))) +(((|#2|) -2892 (|has| |#2| (-174)) (|has| |#2| (-368)))) ((((-1262 |#2| |#3| |#4|)) . T)) ((((-112)) . T)) (|has| |#1| (-826)) @@ -2026,8 +2026,8 @@ (|has| |#1| (-854)) (|has| |#1| (-854)) (((|#1| (-570) (-1091)) . T)) -(-2895 (|has| |#1| (-907 (-1186))) (|has| |#1| (-1058))) -((((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) +(-2892 (|has| |#1| (-907 (-1186))) (|has| |#1| (-1058))) +((((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) (((|#1| (-413 (-570)) (-1091)) . T)) (((|#1| (-777) (-1091)) . T)) (|has| |#1| (-856)) @@ -2041,41 +2041,41 @@ ((((-917 |#1|)) . T) (($) . T) (((-413 (-570))) . T)) (|has| |#1| (-1109)) ((((-413 (-570))) |has| |#2| (-368)) (($) . T) (((-570)) . T)) -((((-570)) -2895 (|has| |#1| (-907 (-1186))) (|has| |#1| (-1058)))) +((((-570)) -2892 (|has| |#1| (-907 (-1186))) (|has| |#1| (-1058)))) (((|#1|) . 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T)) (|has| |#1| (-916)) (((|#2|) |has| |#2| (-1058))) -(((|#2|) -12 (|has| |#2| (-313 |#2|)) (|has| |#2| (-1109))) (((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) |has| (-2 (|:| -2107 |#1|) (|:| -2340 |#2|)) (-313 (-2 (|:| -2107 |#1|) (|:| -2340 |#2|))))) +(((|#2|) -12 (|has| |#2| (-313 |#2|)) (|has| |#2| (-1109))) (((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) |has| (-2 (|:| -2106 |#1|) (|:| -2340 |#2|)) (-313 (-2 (|:| -2106 |#1|) (|:| -2340 |#2|))))) (|has| |#1| (-368)) (((|#1|) |has| |#1| (-174))) (((|#1| |#1|) . T)) @@ -2140,7 +2140,7 @@ (((|#1|) . T)) ((((-413 |#2|)) . T) (((-413 (-570))) . T) (($) . T) (((-570)) . T)) ((((-650 $)) . T) (((-1168)) . T) (((-1186)) . T) (((-570)) . T) (((-227)) . T) (((-868)) . 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T)) @@ -2476,10 +2476,10 @@ ((((-868)) . T)) ((((-868)) . T)) ((((-542)) |has| |#1| (-620 (-542)))) -((((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) +((((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) ((((-570)) . T) (($) . T) (((-413 (-570))) . T)) ((((-1186) |#1|) |has| |#1| (-520 (-1186) |#1|)) ((|#1| |#1|) |has| |#1| (-313 |#1|))) -(((|#1|) -2895 (|has| |#1| (-174)) (|has| |#1| (-368)))) +(((|#1|) -2892 (|has| |#1| (-174)) (|has| |#1| (-368)))) (((|#1|) . T) (((-413 (-570))) . T) (($) . T)) ((((-570)) . T) (((-413 (-570))) . T) (($) . T)) (((|#1|) . T) (((-413 (-570))) . T) (($) . T)) @@ -2489,10 +2489,10 @@ (((|#1|) . T) (($) . T) (((-413 (-570))) . T)) (((|#1|) . T) (($) . T) (((-413 (-570))) . T)) (((|#2|) |has| |#2| (-368))) -((($) -2895 (|has| |#1| (-368)) (|has| |#1| (-354))) (((-413 (-570))) -2895 (|has| |#1| (-368)) (|has| |#1| (-354))) ((|#1|) . T)) +((($) -2892 (|has| |#1| (-368)) (|has| |#1| (-354))) (((-413 (-570))) -2892 (|has| |#1| (-368)) (|has| |#1| (-354))) ((|#1|) . T)) (((|#2|) . T)) ((((-413 (-570))) . T) (((-705)) . T) (($) . T)) -((($) . T) (((-413 (-570))) -2895 (|has| |#1| (-368)) (|has| |#1| (-354))) ((|#1|) . T)) +((($) . T) (((-413 (-570))) -2892 (|has| |#1| (-368)) (|has| |#1| (-354))) ((|#1|) . T)) (((|#1|) -12 (|has| |#1| (-313 |#1|)) (|has| |#1| (-1109)))) (((#0=(-786 |#1| (-870 |#2|)) #0#) |has| (-786 |#1| (-870 |#2|)) (-313 (-786 |#1| (-870 |#2|))))) ((((-570)) . T) (($) . T)) @@ -2511,13 +2511,13 @@ (|has| |#1| (-146)) (|has| |#1| (-148)) ((($ $) . 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T)) ((((-413 (-570))) |has| |#2| (-1047 (-413 (-570)))) (((-570)) |has| |#2| (-1047 (-570))) ((|#2|) . T) (((-870 |#1|)) . T)) ((($) . T) (((-117 |#1|)) . T) (((-413 (-570))) . T)) ((((-1134 |#1| |#2|)) . T) ((|#2|) . T) ((|#1|) . T) (((-570)) |has| |#1| (-1047 (-570))) (((-413 (-570))) |has| |#1| (-1047 (-413 (-570))))) @@ -2550,22 +2550,22 @@ (((|#1| |#2|) . T)) ((((-1186) |#1|) . T)) (((|#4|) . T)) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-354))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-354))) ((((-1186) (-52)) . T)) ((((-1262 |#2| |#3| |#4|) (-323 |#2| |#3| |#4|)) . T)) ((((-413 (-570))) |has| |#1| (-1047 (-413 (-570)))) (((-570)) |has| |#1| (-1047 (-570))) ((|#1|) . T)) ((((-868)) . 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T)) (((|#1| $) |has| |#1| (-290 |#1| |#1|))) ((((-1263 |#1| |#2| |#3| |#4|)) . T) (((-413 (-570))) . T) (($) . T)) (((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-562)) (($) |has| |#1| (-562))) -((((-413 (-570))) -2895 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) (($) -2895 (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-562))) ((|#1|) . T)) +((((-413 (-570))) -2892 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) (($) -2892 (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-562))) ((|#1|) . T)) (|has| |#1| (-368)) -((($) |has| |#1| (-854)) (((-570)) -2895 (|has| |#1| (-21)) (|has| |#1| (-854)))) +((($) |has| |#1| (-854)) (((-570)) -2892 (|has| |#1| (-21)) (|has| |#1| (-854)))) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-148)) @@ -2578,17 +2578,17 @@ (((|#1|) . T)) (((|#2| |#2|) -12 (|has| |#2| (-313 |#2|)) (|has| |#2| (-1109)))) (((|#2| |#3|) . T)) -(-2895 (|has| |#2| (-368)) (|has| |#2| (-458)) (|has| |#2| (-562)) (|has| |#2| (-916))) +(-2892 (|has| |#2| (-368)) (|has| |#2| (-458)) (|has| |#2| (-562)) (|has| |#2| (-916))) (((|#1| (-537 |#2|)) . T)) (((|#1| (-777)) . T)) (((|#1| (-537 (-1097 (-1186)))) . T)) (((|#1|) |has| |#1| (-174))) (((|#1|) . T)) (|has| |#2| (-916)) -(-2895 (|has| |#2| (-799)) (|has| |#2| (-854))) +(-2892 (|has| |#2| (-799)) (|has| |#2| (-854))) ((((-868)) . T)) -(((|#2|) -2895 (|has| |#2| (-174)) (|has| |#2| (-368)))) -(((|#2|) -2895 (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-1058))) (($) |has| |#2| (-174))) +(((|#2|) -2892 (|has| |#2| (-174)) (|has| |#2| (-368)))) +(((|#2|) -2892 (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-1058))) (($) |has| |#2| (-174))) ((($ $) . T) ((#0=(-1262 |#2| |#3| |#4|) #0#) . T) ((#1=(-413 (-570)) #1#) |has| #0# (-38 (-413 (-570))))) ((((-917 |#1|)) . T)) (-12 (|has| |#1| (-368)) (|has| |#2| (-826))) @@ -2596,14 +2596,14 @@ ((((-868)) . T)) ((($) . T)) ((($) . T)) -(-2895 (|has| |#1| (-311)) (|has| |#1| (-368)) (|has| |#1| (-354)) (|has| |#1| (-562))) +(-2892 (|has| |#1| (-311)) (|has| |#1| (-368)) (|has| |#1| (-354)) (|has| |#1| (-562))) (|has| |#1| (-368)) (|has| |#1| (-368)) (((|#1| |#2|) . T)) ((($) . T) ((#0=(-1262 |#2| |#3| |#4|)) . T) (((-413 (-570))) |has| #0# (-38 (-413 (-570))))) ((((-1184 |#1| |#2| |#3|)) |has| |#1| (-368))) -(-2895 (-12 (|has| |#1| (-311)) (|has| |#1| (-916))) (|has| |#1| (-368)) (|has| |#1| (-354))) -(-2895 (|has| |#1| (-907 (-1186))) (|has| |#1| (-1058))) +(-2892 (-12 (|has| |#1| (-311)) (|has| |#1| (-916))) (|has| |#1| (-368)) (|has| |#1| (-354))) +(-2892 (|has| |#1| (-907 (-1186))) (|has| |#1| (-1058))) ((((-570)) |has| |#1| (-645 (-570))) ((|#1|) . T)) (((|#1| |#2|) . T)) ((((-868)) . T)) @@ -2648,28 +2648,28 @@ (((|#2|) . T)) (((|#4| |#4|) -12 (|has| |#4| (-313 |#4|)) (|has| |#4| (-1109)))) (((|#2|) . T)) -(((|#2|) -2895 (|has| |#2| (-6 (-4454 "*"))) (|has| |#2| (-174)))) -(-2895 (|has| |#2| (-458)) (|has| |#2| (-562)) (|has| |#2| (-916))) -(-2895 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) +(((|#2|) -2892 (|has| |#2| (-6 (-4454 "*"))) (|has| |#2| (-174)))) +(-2892 (|has| |#2| (-458)) (|has| |#2| (-562)) (|has| |#2| (-916))) +(-2892 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) (|has| |#2| (-916)) (|has| |#1| (-916)) (((|#2|) |has| |#2| (-174))) -((((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) +((((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) ((((-1269 |#1| |#2| |#3|)) |has| |#1| (-368))) ((((-868)) . T)) ((((-868)) . T)) ((((-542)) . T) (((-570)) . T) (((-899 (-570))) . T) (((-384)) . T) (((-227)) . T)) (((|#1| |#2|) . T)) ((($) . T) (((-570)) . T)) -((((-2 (|:| -2107 (-1168)) (|:| -2340 (-52)))) . T)) +((((-2 (|:| -2106 (-1168)) (|:| -2340 (-52)))) . T)) (((|#1|) . T)) -((((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) +((((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) ((((-868)) . T)) (((|#1| |#2|) . T)) ((($) . T) (((-570)) . T)) (((|#1| (-413 (-570))) . T)) (((|#1|) . T)) -(-2895 (|has| |#1| (-294)) (|has| |#1| (-368))) +(-2892 (|has| |#1| (-294)) (|has| |#1| (-368))) ((((-145)) . T)) ((((-413 |#2|)) . T) (((-413 (-570))) . T) (($) . T)) (|has| |#1| (-854)) @@ -2685,7 +2685,7 @@ ((((-868)) . T)) ((((-868)) . T)) ((((-189)) . T) (((-868)) . T)) -((((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) +((((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) (((|#2| |#2|) . T) ((|#1| |#1|) . T)) ((((-868)) . T)) ((((-868)) . T)) @@ -2698,7 +2698,7 @@ ((((-868)) . T)) ((((-1168)) . T)) ((((-1186) |#1|) |has| |#1| (-520 (-1186) |#1|)) ((|#1| |#1|) |has| |#1| (-313 |#1|))) -((((-2 (|:| -2107 (-1168)) (|:| -2340 |#1|))) . T)) +((((-2 (|:| -2106 (-1168)) (|:| -2340 |#1|))) . T)) (|has| |#1| (-856)) ((((-868)) . T)) ((((-542)) |has| |#1| (-620 (-542)))) @@ -2710,16 +2710,16 @@ (((|#2|) . T)) ((((-917 |#1|)) . T) (((-413 (-570))) . T) (($) . T)) ((($) . T) (((-570)) . T) (((-413 (-570))) . T) (((-618 $)) . T)) -(-2895 (|has| |#4| (-174)) (|has| |#4| (-732)) (|has| |#4| (-854)) (|has| |#4| (-1058))) -(-2895 (|has| |#3| (-174)) (|has| |#3| (-732)) (|has| |#3| (-854)) (|has| |#3| (-1058))) +(-2892 (|has| |#4| (-174)) (|has| |#4| (-732)) (|has| |#4| (-854)) (|has| |#4| (-1058))) +(-2892 (|has| |#3| (-174)) (|has| |#3| (-732)) (|has| |#3| (-854)) (|has| |#3| (-1058))) ((((-1186) (-52)) . T)) -(-2895 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) +(-2892 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) (((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) -(-2895 (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-799)) (|has| |#2| (-854)) (|has| |#2| (-1058))) -(-2895 (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-854)) (|has| |#2| (-1058))) +(-2892 (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-799)) (|has| |#2| (-854)) (|has| |#2| (-1058))) +(-2892 (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-854)) (|has| |#2| (-1058))) (|has| |#1| (-916)) ((((-917 |#1|)) . T) (((-413 (-570))) . T) (($) . T) (((-570)) . T)) (|has| |#1| (-916)) @@ -2736,12 +2736,12 @@ (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-38 (-413 (-570)))) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) (|has| |#1| (-826)) (((#0=(-917 |#1|) #0#) . T) (($ $) . T) ((#1=(-413 (-570)) #1#) . T)) ((((-413 |#2|)) . T)) (|has| |#1| (-854)) -((((-1213 |#1|)) . T) (((-868)) -2895 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) +((((-1213 |#1|)) . T) (((-868)) -2892 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) (((|#1| |#1|) . T) ((#0=(-413 (-570)) #0#) . T) ((#1=(-570) #1#) . T) (($ $) . T)) ((((-917 |#1|)) . T) (($) . T) (((-413 (-570))) . T)) (((|#2|) |has| |#2| (-1058)) (((-570)) -12 (|has| |#2| (-645 (-570))) (|has| |#2| (-1058)))) @@ -2757,28 +2757,28 @@ (((|#2|) |has| |#2| (-174))) (((|#1|) . T)) (((|#2|) . T)) -(-2895 (|has| |#1| (-146)) (|has| |#1| (-373))) -(-2895 (|has| |#1| (-146)) (|has| |#1| (-373))) -(-2895 (|has| |#1| (-146)) (|has| |#1| (-373))) -((((-2 (|:| -2107 (-1186)) (|:| -2340 (-52)))) . T)) -(((#0=(-52)) . T) (((-2 (|:| -2107 (-1186)) (|:| -2340 #0#))) . T)) +(-2892 (|has| |#1| (-146)) (|has| |#1| (-373))) +(-2892 (|has| |#1| (-146)) (|has| |#1| (-373))) +(-2892 (|has| |#1| (-146)) (|has| |#1| (-373))) +((((-2 (|:| -2106 (-1186)) (|:| -2340 (-52)))) . T)) +(((#0=(-52)) . T) (((-2 (|:| -2106 (-1186)) (|:| -2340 #0#))) . T)) (|has| |#1| (-354)) ((((-570)) . T)) ((((-868)) . T)) (((|#1|) . T)) (((#0=(-1263 |#1| |#2| |#3| |#4|) $) |has| #0# (-290 #0# #0#))) (|has| |#1| (-368)) -(((|#1|) -2895 (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-1058))) (($) -2895 (|has| |#1| (-907 (-1186))) (|has| |#1| (-1058))) (((-570)) -2895 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-907 (-1186))) (|has| |#1| (-1058)))) +(((|#1|) -2892 (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-1058))) (($) -2892 (|has| |#1| (-907 (-1186))) (|has| |#1| (-1058))) (((-570)) -2892 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-907 (-1186))) (|has| |#1| (-1058)))) (((#0=(-1091) |#1|) . T) ((#0# $) . T) (($ $) . T)) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-354))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-354))) (((#0=(-413 (-570)) #0#) . T) ((#1=(-705) #1#) . T) (($ $) . T)) ((((-320 |#1|)) . T) (($) . T)) (((|#1|) . T) (((-413 (-570))) |has| |#1| (-368))) ((((-868)) . T)) (|has| |#1| (-1109)) (((|#1|) . T)) -(((|#1|) -2895 (|has| |#2| (-372 |#1|)) (|has| |#2| (-423 |#1|)))) -(((|#1|) -2895 (|has| |#2| (-372 |#1|)) (|has| |#2| (-423 |#1|)))) +(((|#1|) -2892 (|has| |#2| (-372 |#1|)) (|has| |#2| (-423 |#1|)))) +(((|#1|) -2892 (|has| |#2| (-372 |#1|)) (|has| |#2| (-423 |#1|)))) (((|#2|) . T)) ((((-413 (-570))) . T) (((-705)) . T) (($) . T)) ((((-585)) . T)) @@ -2803,7 +2803,7 @@ (((|#1|) . T)) ((((-570)) . T)) (((|#2|) . T) (((-413 (-570))) |has| |#1| (-1047 (-413 (-570)))) ((|#1|) . T) (($) . T) (((-570)) . T)) -(-2895 (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) +(-2892 (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) (((|#2|) . T) (((-570)) |has| |#2| (-645 (-570)))) (((|#1| |#2|) . T)) ((($) . T)) @@ -2847,7 +2847,7 @@ (|has| |#2| (-1031)) ((($) . T)) (|has| |#1| (-916)) -((((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) +((((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) ((($) . T)) (((|#2|) . T)) (((|#1|) . T)) @@ -2856,10 +2856,10 @@ (|has| |#1| (-368)) ((((-917 |#1|)) . T)) ((($) . T) (((-570)) . T) ((|#1|) . T) (((-413 (-570))) . T)) -((($) -2895 (|has| |#1| (-368)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) -((($) |has| |#1| (-854)) (((-570)) -2895 (|has| |#1| (-21)) (|has| |#1| (-854)))) +((($) -2892 (|has| |#1| (-368)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) +((($) |has| |#1| (-854)) (((-570)) -2892 (|has| |#1| (-21)) (|has| |#1| (-854)))) ((($ $) . T) ((#0=(-413 (-570)) #0#) . T)) -(-2895 (|has| |#1| (-373)) (|has| |#1| (-856))) +(-2892 (|has| |#1| (-373)) (|has| |#1| (-856))) (((|#1|) . T)) ((((-777)) . T)) ((((-868)) . T)) @@ -2870,17 +2870,17 @@ ((((-570)) . T) (($) . T)) ((((-570)) . T) (($) . T)) ((((-777) |#1|) . T)) -(((|#2| (-242 (-2570 |#1|) (-777))) . T)) +(((|#2| (-242 (-2569 |#1|) (-777))) . T)) (((|#1| (-537 |#3|)) . T)) ((((-413 (-570))) . T)) -(-2895 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) +(-2892 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((((-1168)) . T) (((-868)) . T)) -(((#0=(-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) #0#) |has| (-2 (|:| -2107 (-1186)) (|:| -2340 (-52))) (-313 (-2 (|:| -2107 (-1186)) (|:| -2340 (-52)))))) +(((#0=(-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) #0#) |has| (-2 (|:| -2106 (-1186)) (|:| -2340 (-52))) (-313 (-2 (|:| -2106 (-1186)) (|:| -2340 (-52)))))) ((((-1168)) . T)) (|has| |#1| (-916)) (|has| |#2| (-368)) (((|#1|) . T) (($) . T) (((-570)) . T)) -(-2895 (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-799)) (|has| |#2| (-854)) (|has| |#2| (-1058))) +(-2892 (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-799)) (|has| |#2| (-854)) (|has| |#2| (-1058))) ((((-171 (-384))) . T) (((-227)) . T) (((-384)) . T)) ((((-868)) . T)) (((|#1|) . T)) @@ -2897,11 +2897,11 @@ (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-38 (-413 (-570)))) -(-2895 (|has| |#1| (-311)) (|has| |#1| (-368)) (|has| |#1| (-354))) +(-2892 (|has| |#1| (-311)) (|has| |#1| (-368)) (|has| |#1| (-354))) (|has| |#1| (-38 (-413 (-570)))) (-12 (|has| |#1| (-551)) (|has| |#1| (-834))) ((((-868)) . T)) -((((-1186)) -2895 (-12 (|has| |#1| (-15 * (|#1| (-570) |#1|))) (|has| |#1| (-907 (-1186)))) (-12 (|has| |#1| (-368)) (|has| |#2| (-907 (-1186)))))) +((((-1186)) -2892 (-12 (|has| |#1| (-15 * (|#1| (-570) |#1|))) (|has| |#1| (-907 (-1186)))) (-12 (|has| |#1| (-368)) (|has| |#2| (-907 (-1186)))))) (|has| |#1| (-368)) ((((-1186)) -12 (|has| |#1| (-15 * (|#1| (-413 (-570)) |#1|))) (|has| |#1| (-907 (-1186))))) (|has| |#1| (-368)) @@ -2913,7 +2913,7 @@ (((|#2|) |has| |#1| (-368))) (((|#2|) |has| |#1| (-368))) ((((-570)) . T) (($) . T)) -((((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) +((((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) (((|#1|) . T)) (((|#1|) |has| |#1| (-174))) (((|#1|) . T)) @@ -2943,11 +2943,11 @@ (((|#2|) |has| |#1| (-368))) ((((-384)) -12 (|has| |#1| (-368)) (|has| |#2| (-893 (-384)))) (((-570)) -12 (|has| |#1| (-368)) (|has| |#2| (-893 (-570))))) (|has| |#1| (-368)) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-562))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-562))) (|has| |#1| (-368)) (((|#1|) . T)) ((($) . T) (((-570)) . T) ((|#2|) . T)) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-562))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-562))) (|has| |#1| (-368)) (((|#3|) . T)) ((((-1168)) . T) (((-512)) . T) (((-227)) . T) (((-570)) . T)) @@ -2955,23 +2955,23 @@ (|has| |#1| (-562)) (((|#4| |#4|) -12 (|has| |#4| (-313 |#4|)) (|has| |#4| (-1109)))) ((((-413 |#2|)) . T) (((-413 (-570))) . T) (($) . T) (((-570)) . T)) -(-2895 (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-799)) (|has| |#2| (-854)) (|has| |#2| (-1058))) +(-2892 (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-799)) (|has| |#2| (-854)) (|has| |#2| (-1058))) (((|#2|) . T)) (((|#2|) . T)) -(-2895 (|has| |#2| (-174)) (|has| |#2| (-732)) (|has| |#2| (-854)) (|has| |#2| (-1058))) -((((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) -((((-2 (|:| -2107 (-1168)) (|:| -2340 |#1|))) . T)) -((((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) +(-2892 (|has| |#2| (-174)) (|has| |#2| (-732)) (|has| |#2| (-854)) (|has| |#2| (-1058))) +((((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) +((((-2 (|:| -2106 (-1168)) (|:| -2340 |#1|))) . T)) +((((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) (|has| |#1| (-38 (-413 (-570)))) (((|#1| |#2|) . T)) (|has| |#1| (-38 (-413 (-570)))) -(-2895 (|has| |#1| (-146)) (|has| |#1| (-373))) +(-2892 (|has| |#1| (-146)) (|has| |#1| (-373))) ((($) . T)) ((((-1168) |#1|) . T)) (|has| |#1| (-148)) -(-2895 (|has| |#1| (-146)) (|has| |#1| (-373))) +(-2892 (|has| |#1| (-146)) (|has| |#1| (-373))) (|has| |#1| (-148)) -(-2895 (|has| |#1| (-146)) (|has| |#1| (-373))) +(-2892 (|has| |#1| (-146)) (|has| |#1| (-373))) ((($) . T)) (|has| |#1| (-148)) ((((-587 |#1|)) . T)) @@ -2985,7 +2985,7 @@ ((((-413 (-570))) |has| |#2| (-1047 (-570))) (((-570)) |has| |#2| (-1047 (-570))) (((-1186)) |has| |#2| (-1047 (-1186))) ((|#2|) . T)) (((#0=(-413 |#2|) #0#) . T) ((#1=(-413 (-570)) #1#) . T) (($ $) . T)) (((|#1|) . T)) -(-2895 (|has| |#1| (-146)) (|has| |#1| (-354))) +(-2892 (|has| |#1| (-146)) (|has| |#1| (-354))) (|has| |#1| (-148)) ((((-868)) . T)) ((($) . T)) @@ -3011,7 +3011,7 @@ ((((-917 |#1|)) . T) (((-413 (-570))) . T) (($) . T) (((-570)) . T)) ((((-868)) . T)) ((((-542)) |has| |#1| (-620 (-542)))) -((((-868)) -2895 (|has| |#1| (-619 (-868))) (|has| |#1| (-856)) (|has| |#1| (-1109)))) +((((-868)) -2892 (|has| |#1| (-619 (-868))) (|has| |#1| (-856)) (|has| |#1| (-1109)))) ((((-115)) . T) ((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) @@ -3033,7 +3033,7 @@ ((((-570)) . T)) ((((-868)) . T)) ((((-570)) . T)) -(-2895 (|has| |#2| (-799)) (|has| |#2| (-854))) +(-2892 (|has| |#2| (-799)) (|has| |#2| (-854))) ((((-171 (-384))) . T) (((-227)) . T) (((-384)) . T)) ((((-868)) . T)) ((((-868)) . T)) @@ -3045,9 +3045,9 @@ (((|#1|) . T) (($) . T) (((-413 (-570))) . T)) (|has| |#1| (-368)) (|has| |#1| (-368)) -((((-868)) -2895 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) -((((-868)) -2895 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) -(-2895 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-479)) (|has| |#1| (-732)) (|has| |#1| (-907 (-1186))) (|has| |#1| (-1058)) (|has| |#1| (-1121)) (|has| |#1| (-1109))) +((((-868)) -2892 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) +((((-868)) -2892 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) +(-2892 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-479)) (|has| |#1| (-732)) (|has| |#1| (-907 (-1186))) (|has| |#1| (-1058)) (|has| |#1| (-1121)) (|has| |#1| (-1109))) (|has| |#1| (-1161)) ((((-917 |#1|)) . T) (((-413 (-570))) . T) (($) . T)) ((((-917 |#1|)) . T) (($) . T) (((-413 (-570))) . T)) @@ -3064,25 +3064,25 @@ (((|#1|) |has| |#1| (-313 |#1|))) ((((-570) |#1|) . T)) ((((-1186) |#1|) . T)) -(((|#1|) -2895 (|has| |#1| (-174)) (|has| |#1| (-368)))) +(((|#1|) -2892 (|has| |#1| (-174)) (|has| |#1| (-368)))) (((|#1|) . T)) -(((|#1|) -2895 (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-1058)))) +(((|#1|) -2892 (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-1058)))) ((((-570)) . T) (((-413 (-570))) . T)) (((|#1|) . T)) (|has| |#1| (-562)) ((($) . T) (((-570)) . T) ((|#1|) . T) (((-413 (-570))) |has| |#1| (-368))) ((((-413 |#2|)) . T) (((-413 (-570))) . T) (($) . T)) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-562))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-562))) ((((-384)) . T)) (((|#1|) . T)) (((|#1|) . T)) (|has| |#1| (-368)) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-562))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-562))) (|has| |#1| (-368)) (|has| |#1| (-562)) (|has| |#1| (-1109)) ((((-786 |#1| (-870 |#2|))) |has| (-786 |#1| (-870 |#2|)) (-313 (-786 |#1| (-870 |#2|))))) -(-2895 (|has| |#2| (-458)) (|has| |#2| (-562)) (|has| |#2| (-916))) +(-2892 (|has| |#2| (-458)) (|has| |#2| (-562)) (|has| |#2| (-916))) (((|#1|) . T)) (((|#2| |#3|) . T)) (((|#1|) . T)) @@ -3094,13 +3094,13 @@ (|has| |#2| (-368)) ((((-587 |#1|)) . T) (((-413 (-570))) . T) (($) . T) (((-570)) . T)) ((((-570)) . T) (((-413 (-570))) . T) (($) . T)) -((((-2 (|:| -2107 (-1168)) (|:| -2340 (-52)))) . T)) +((((-2 (|:| -2106 (-1168)) (|:| -2340 (-52)))) . T)) (((|#1|) . T)) (((|#1|) . T) (((-570)) . T)) (((|#1|) -12 (|has| |#1| (-313 |#1|)) (|has| |#1| (-1109)))) ((((-868)) . T)) ((((-868)) . T)) -(-2895 (|has| |#3| (-799)) (|has| |#3| (-854))) +(-2892 (|has| |#3| (-799)) (|has| |#3| (-854))) ((((-868)) . T)) ((((-1129)) . T) (((-868)) . T)) ((((-542)) . T) (((-868)) . T)) @@ -3111,12 +3111,12 @@ ((((-570)) . T)) (((|#3|) . T)) ((((-868)) . T)) -(-2895 (|has| |#1| (-311)) (|has| |#1| (-368)) (|has| |#1| (-354))) -((((-570)) . T) (((-413 (-570))) -2895 (|has| |#2| (-38 (-413 (-570)))) (|has| |#2| (-1047 (-413 (-570))))) ((|#2|) . T) (($) -2895 (|has| |#2| (-458)) (|has| |#2| (-562)) (|has| |#2| (-916))) (((-870 |#1|)) . T)) -((((-1134 |#1| |#2|)) . T) ((|#2|) . T) (($) -2895 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) . T) (((-413 (-570))) -2895 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-1047 (-413 (-570))))) (((-570)) . T)) -((((-1182 |#1|)) . T) (((-570)) . T) (($) -2895 (|has| |#1| (-368)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) (((-1091)) . T) ((|#1|) . 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T) (($ $) -2895 (|has| |#2| (-174)) (|has| |#2| (-458)) (|has| |#2| (-562)) (|has| |#2| (-916)))) +(((#0=(-413 (-570)) #0#) |has| |#2| (-38 (-413 (-570)))) ((|#2| |#2|) . T) (($ $) -2892 (|has| |#2| (-174)) (|has| |#2| (-458)) (|has| |#2| (-562)) (|has| |#2| (-916)))) (((|#2| |#2|) . T) ((|#6| |#6|) . T)) (((|#1|) . T)) ((($) . T) (((-413 (-570))) |has| |#2| (-38 (-413 (-570)))) ((|#2|) . T)) @@ -3142,21 +3142,21 @@ (((|#1|) . T) (((-413 (-570))) . T) (($) . T)) (((|#1|) . T) (((-413 (-570))) . T) (($) . T)) (((|#1|) . T) (((-413 (-570))) . T) (($) . T)) -((($ $) -2895 (|has| |#1| (-174)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1| |#1|) . T) ((#0=(-413 (-570)) #0#) |has| |#1| (-38 (-413 (-570))))) -((($ $) -2895 (|has| |#1| (-174)) (|has| |#1| (-368)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1| |#1|) . 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T)) (|has| |#2| (-826)) (|has| |#2| (-826)) -((((-413 (-570))) -2895 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) ((|#2|) |has| |#1| (-368)) (($) . T) ((|#1|) . T)) -(((|#1|) . T) (((-413 (-570))) -2895 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) (($) . T)) +((((-413 (-570))) -2892 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) ((|#2|) |has| |#1| (-368)) (($) . T) ((|#1|) . T)) +(((|#1|) . T) (((-413 (-570))) -2892 (|has| |#1| (-38 (-413 (-570)))) (|has| |#1| (-368))) (($) . T)) (((|#1| |#1|) -12 (|has| |#1| (-313 |#1|)) (|has| |#1| (-1109)))) (((|#1|) . T) (((-570)) |has| |#1| (-1047 (-570))) (((-413 (-570))) |has| |#1| (-1047 (-413 (-570))))) ((((-570)) |has| |#1| (-893 (-570))) (((-384)) |has| |#1| (-893 (-384)))) @@ -3241,7 +3241,7 @@ (((|#1|) . 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T)) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-354))) -((((-868)) -2895 (|has| |#1| (-619 (-868))) (|has| |#1| (-856)) (|has| |#1| (-1109)))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-354))) +((((-868)) -2892 (|has| |#1| (-619 (-868))) (|has| |#1| (-856)) (|has| |#1| (-1109)))) ((((-542)) |has| |#1| (-620 (-542)))) -((((-868)) -2895 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) -((((-868)) -2895 (|has| |#1| (-619 (-868))) (|has| |#1| (-856)) (|has| |#1| (-1109)))) +((((-868)) -2892 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) +((((-868)) -2892 (|has| |#1| (-619 (-868))) (|has| |#1| (-856)) (|has| |#1| (-1109)))) ((((-542)) |has| |#1| (-620 (-542)))) -((((-868)) -2895 (|has| |#1| (-619 (-868))) (|has| |#1| (-856)) (|has| |#1| (-1109)))) +((((-868)) -2892 (|has| |#1| (-619 (-868))) (|has| |#1| (-856)) (|has| |#1| (-1109)))) ((((-542)) |has| |#1| (-620 (-542)))) -((((-868)) -2895 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) +((((-868)) -2892 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) (((|#1|) . T)) (((|#2| |#2|) . T) ((#0=(-413 (-570)) #0#) . T) (($ $) . T)) (((|#2|) . T) (((-413 (-570))) . T) (($) . T)) @@ -3625,21 +3625,21 @@ ((($) . T) (((-570)) . T) (((-117 |#1|)) . T) (((-413 (-570))) . T)) (((|#1| |#2| (-242 |#1| |#2|) (-242 |#1| |#2|)) . T)) ((((-868)) . T)) -((((-413 (-570))) |has| |#2| (-38 (-413 (-570)))) ((|#2|) |has| |#2| (-174)) (($) -2895 (|has| |#2| (-458)) (|has| |#2| (-562)) (|has| |#2| (-916)))) +((((-413 (-570))) |has| |#2| (-38 (-413 (-570)))) ((|#2|) |has| |#2| (-174)) (($) -2892 (|has| |#2| (-458)) (|has| |#2| (-562)) (|has| |#2| (-916)))) (((|#2|) . T) ((|#6|) . T)) ((($) . T) (((-413 (-570))) |has| |#2| (-38 (-413 (-570)))) ((|#2|) . T)) ((($) . T) (((-570)) . T)) -((($) -2895 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) +((($) -2892 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) ((((-1113)) . T)) ((((-868)) . T)) ((((-1191)) . T) (((-868)) . T)) ((((-1191)) . T) (((-868)) . T)) -((($) -2895 (|has| |#1| (-368)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) +((($) -2892 (|has| |#1| (-368)) (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) ((((-1191)) . T)) ((((-1191)) . T)) ((($) . T) (((-413 (-570))) |has| |#1| (-38 (-413 (-570)))) ((|#1|) . T)) ((($) . T)) -((($) -2895 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) +((($) -2892 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((|#1|) |has| |#1| (-174)) (((-413 (-570))) |has| |#1| (-38 (-413 (-570))))) ((($ $) . T) (((-1186) $) . T)) ((((-1269 |#1| |#2| |#3|)) . T)) (|has| |#2| (-916)) @@ -3653,7 +3653,7 @@ (((|#1|) . T)) (((|#1| |#1|) |has| |#1| (-174))) ((((-705)) . T)) -((((-868)) -2895 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) +((((-868)) -2892 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) ((((-1191)) . T)) (((|#1|) |has| |#1| (-174))) ((((-1191)) . T)) @@ -3670,13 +3670,13 @@ ((((-1191)) . T)) ((((-1191)) . T)) ((((-1191)) . T)) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-354))) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-354))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-354))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-354))) ((((-1191)) . T)) ((((-1191)) . T)) (|has| |#1| (-368)) (|has| |#1| (-368)) -(-2895 (|has| |#1| (-174)) (|has| |#1| (-562))) +(-2892 (|has| |#1| (-174)) (|has| |#1| (-562))) (((|#1| (-570)) . T)) (((|#1| (-413 (-570))) . T)) (((|#1| (-777)) . T)) @@ -3691,16 +3691,16 @@ ((((-899 (-384))) . T) (((-899 (-570))) . T) (((-1186)) . T) (((-542)) . T)) (((|#1|) . T)) ((((-868)) . T)) -(-2895 (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-799)) (|has| |#2| (-854)) (|has| |#2| (-1058))) -(-2895 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-23)) (|has| |#2| (-23))) (-12 (|has| |#1| (-132)) (|has| |#2| (-132))) (-12 (|has| |#1| (-799)) (|has| |#2| (-799)))) +(-2892 (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-368)) (|has| |#2| (-799)) (|has| |#2| (-854)) (|has| |#2| (-1058))) +(-2892 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-23)) (|has| |#2| (-23))) (-12 (|has| |#1| (-132)) (|has| |#2| (-132))) (-12 (|has| |#1| (-799)) (|has| |#2| (-799)))) ((((-570)) . T)) ((((-570)) . T)) -((((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) +((((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) (((|#1| |#2|) . T)) (((|#1|) . T)) -(-2895 (|has| |#2| (-174)) (|has| |#2| (-732)) (|has| |#2| (-854)) (|has| |#2| (-1058))) +(-2892 (|has| |#2| (-174)) (|has| |#2| (-732)) (|has| |#2| (-854)) (|has| |#2| (-1058))) ((((-1186)) -12 (|has| |#2| (-907 (-1186))) (|has| |#2| (-1058)))) -(-2895 (-12 (|has| |#1| (-479)) (|has| |#2| (-479))) (-12 (|has| |#1| (-732)) (|has| |#2| (-732)))) +(-2892 (-12 (|has| |#1| (-479)) (|has| |#2| (-479))) (-12 (|has| |#1| (-732)) (|has| |#2| (-732)))) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-368)) @@ -3731,7 +3731,7 @@ (((|#1| |#2|) . T)) ((((-570)) . T) ((|#2|) |has| |#2| (-174))) ((((-115)) . T) ((|#1|) . T) (((-570)) . T)) -(-2895 (|has| |#1| (-354)) (|has| |#1| (-373))) +(-2892 (|has| |#1| (-354)) (|has| |#1| (-373))) (((|#1| |#2|) . T)) ((((-227)) . T)) ((((-413 (-570))) . T) (($) . T) (((-570)) . T)) @@ -3743,7 +3743,7 @@ (((|#1|) . T)) (((|#1|) . T)) ((((-542)) |has| |#1| (-620 (-542)))) -((((-868)) -2895 (|has| |#1| (-619 (-868))) (|has| |#1| (-856)) (|has| |#1| (-1109)))) +((((-868)) -2892 (|has| |#1| (-619 (-868))) (|has| |#1| (-856)) (|has| |#1| (-1109)))) ((($) . T) (((-413 (-570))) . T)) (|has| |#1| (-916)) (|has| |#1| (-916)) @@ -3754,14 +3754,14 @@ (((|#1| |#1|) |has| |#1| (-174))) (((|#1|) . T) (((-570)) . T)) ((((-1191)) . T)) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-562))) -(-2895 (|has| |#1| (-21)) (|has| |#1| (-854))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-562))) +(-2892 (|has| |#1| (-21)) (|has| |#1| (-854))) (((|#2|) . T)) -(-2895 (|has| |#1| (-21)) (|has| |#1| (-854))) +(-2892 (|has| |#1| (-21)) (|has| |#1| (-854))) (((|#1|) |has| |#1| (-174))) (((|#1|) . T)) (((|#1|) . T)) -((((-868)) -2895 (-12 (|has| |#1| (-619 (-868))) (|has| |#2| (-619 (-868)))) (-12 (|has| |#1| (-1109)) (|has| |#2| (-1109))))) +((((-868)) -2892 (-12 (|has| |#1| (-619 (-868))) (|has| |#2| (-619 (-868)))) (-12 (|has| |#1| (-1109)) (|has| |#2| (-1109))))) ((((-413 |#2|) |#3|) . T)) ((((-413 (-570))) . T) (($) . T)) (|has| |#1| (-38 (-413 (-570)))) @@ -3775,19 +3775,19 @@ (((|#1|) . T) (((-413 (-570))) . T) (((-570)) . T) (($) . T)) (((#0=(-570) #0#) . T)) ((($) . T) (((-413 (-570))) . T)) -(-2895 (|has| |#4| (-174)) (|has| |#4| (-732)) (|has| |#4| (-854)) (|has| |#4| (-1058))) -(-2895 (|has| |#3| (-174)) (|has| |#3| (-732)) (|has| |#3| (-854)) (|has| |#3| (-1058))) +(-2892 (|has| |#4| (-174)) (|has| |#4| (-732)) (|has| |#4| (-854)) (|has| |#4| (-1058))) +(-2892 (|has| |#3| (-174)) (|has| |#3| (-732)) (|has| |#3| (-854)) (|has| |#3| (-1058))) ((((-868)) . T) (((-1191)) . T)) (|has| |#4| (-799)) -(-2895 (|has| |#4| (-799)) (|has| |#4| (-854))) +(-2892 (|has| |#4| (-799)) (|has| |#4| (-854))) (|has| |#4| (-854)) (|has| |#3| (-799)) ((((-1191)) . T)) -(-2895 (|has| |#3| (-799)) (|has| |#3| (-854))) +(-2892 (|has| |#3| (-799)) (|has| |#3| (-854))) (|has| |#3| (-854)) ((((-570)) . T)) (((|#2|) . T)) -((((-1186)) -2895 (-12 (|has| (-1184 |#1| |#2| |#3|) (-907 (-1186))) (|has| |#1| (-368))) (-12 (|has| |#1| (-15 * (|#1| (-570) |#1|))) (|has| |#1| (-907 (-1186)))))) +((((-1186)) -2892 (-12 (|has| (-1184 |#1| |#2| |#3|) (-907 (-1186))) (|has| |#1| (-368))) (-12 (|has| |#1| (-15 * (|#1| (-570) |#1|))) (|has| |#1| (-907 (-1186)))))) ((((-1186)) -12 (|has| |#1| (-15 * (|#1| (-413 (-570)) |#1|))) (|has| |#1| (-907 (-1186))))) ((((-1186)) -12 (|has| |#1| (-15 * (|#1| (-777) |#1|))) (|has| |#1| (-907 (-1186))))) (((|#1| |#1|) . T) (($ $) . T)) @@ -3802,11 +3802,11 @@ ((((-1184 |#1| |#2| |#3|)) |has| |#1| (-368))) ((((-1149 |#1| |#2|)) . T)) ((((-1184 |#1| |#2| |#3|)) |has| |#1| (-368))) -(((|#2|) . T) (((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) -((((-2 (|:| -2107 (-1186)) (|:| -2340 (-52)))) . T)) +(((|#2|) . T) (((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) +((((-2 (|:| -2106 (-1186)) (|:| -2340 (-52)))) . T)) ((($) . T)) (|has| |#1| (-1031)) -(((|#2|) . T) (((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) +(((|#2|) . T) (((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) ((((-868)) . T)) ((((-542)) |has| |#2| (-620 (-542))) (((-899 (-570))) |has| |#2| (-620 (-899 (-570)))) (((-899 (-384))) |has| |#2| (-620 (-899 (-384)))) (((-384)) . #0=(|has| |#2| (-1031))) (((-227)) . #0#)) ((((-298 |#3|)) . T)) @@ -3823,15 +3823,15 @@ ((((-1184 |#1| |#2| |#3|)) . T)) ((((-1184 |#1| |#2| |#3|)) . T) (((-1177 |#1| |#2| |#3|)) . T)) ((((-868)) . T)) -((((-868)) -2895 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) +((((-868)) -2892 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) ((((-570) |#1|) . T)) ((((-1184 |#1| |#2| |#3|)) |has| |#1| (-368))) (((|#1| |#2| |#3| |#4|) . T)) (((|#1|) . T)) (((|#2|) . T)) (|has| |#2| (-368)) -(((|#3|) . T) ((|#2|) . T) (($) -2895 (|has| |#4| (-174)) (|has| |#4| (-854)) (|has| |#4| (-1058))) ((|#4|) -2895 (|has| |#4| (-174)) (|has| |#4| (-368)) (|has| |#4| (-1058)))) -(((|#2|) . T) (($) -2895 (|has| |#3| (-174)) (|has| |#3| (-854)) (|has| |#3| (-1058))) ((|#3|) -2895 (|has| |#3| (-174)) (|has| |#3| (-368)) (|has| |#3| (-1058)))) +(((|#3|) . T) ((|#2|) . T) (($) -2892 (|has| |#4| (-174)) (|has| |#4| (-854)) (|has| |#4| (-1058))) ((|#4|) -2892 (|has| |#4| (-174)) (|has| |#4| (-368)) (|has| |#4| (-1058)))) +(((|#2|) . T) (($) -2892 (|has| |#3| (-174)) (|has| |#3| (-854)) (|has| |#3| (-1058))) ((|#3|) -2892 (|has| |#3| (-174)) (|has| |#3| (-368)) (|has| |#3| (-1058)))) (((|#1|) . T)) (((|#1|) . T)) (|has| |#1| (-368)) @@ -3846,7 +3846,7 @@ ((((-189)) . T) (((-868)) . T)) ((((-868)) . T)) (((|#1|) . T)) -((((-868)) -2895 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) +((((-868)) -2892 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) ((((-130)) . T) (((-868)) . T)) ((((-570) |#1|) . T)) ((((-130)) . T)) @@ -3855,13 +3855,13 @@ (((|#1|) . T)) (((|#2| $) -12 (|has| |#1| (-368)) (|has| |#2| (-290 |#2| |#2|))) (($ $) . T)) ((($ $) . T)) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-458)) (|has| |#1| (-916))) -(-2895 (|has| |#1| (-856)) (|has| |#1| (-1109))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-458)) (|has| |#1| (-916))) +(-2892 (|has| |#1| (-856)) (|has| |#1| (-1109))) ((((-868)) . T)) ((((-868)) . T)) ((((-868)) . T)) (((|#1| (-537 |#2|)) . T)) -((((-2 (|:| -2107 (-1186)) (|:| -2340 (-52)))) . T)) +((((-2 (|:| -2106 (-1186)) (|:| -2340 (-52)))) . T)) ((((-570) (-130)) . T)) (((|#1| (-570)) . T)) (((|#1| (-413 (-570))) . T)) @@ -3876,8 +3876,8 @@ ((((-1191)) . T)) ((((-868)) . T) (((-1191)) . T)) ((((-868)) . T) (((-1191)) . T)) -(-2895 (|has| |#2| (-458)) (|has| |#2| (-562)) (|has| |#2| (-916))) -(-2895 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) +(-2892 (|has| |#2| (-458)) (|has| |#2| (-562)) (|has| |#2| (-916))) +(-2892 (|has| |#1| (-458)) (|has| |#1| (-562)) (|has| |#1| (-916))) ((($) . T)) (((|#2| (-537 (-870 |#1|))) . T)) ((((-1191)) . T)) @@ -3892,13 +3892,13 @@ ((((-1191)) . T)) ((((-868)) . T) (((-1191)) . T)) ((((-1191)) . T)) -((((-868)) -2895 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) +((((-868)) -2892 (|has| |#1| (-619 (-868))) (|has| |#1| (-1109)))) (((|#1|) . T)) (((|#2| (-777)) . T)) (((|#1| |#2|) . T)) ((((-1168) |#1|) . T)) ((((-413 |#2|)) . T)) -((((-2 (|:| -2107 |#1|) (|:| -2340 |#2|))) . T)) +((((-2 (|:| -2106 |#1|) (|:| -2340 |#2|))) . T)) (|has| |#1| (-562)) (|has| |#1| (-562)) ((($) . T) ((|#2|) . T)) @@ -3909,14 +3909,14 @@ ((((-570)) . T) (($) . T)) (((|#2| $) |has| |#2| (-290 |#2| |#2|))) (((|#1| (-650 |#1|)) |has| |#1| (-854))) -(-2895 (|has| |#1| (-235)) (|has| |#1| (-354))) -(-2895 (|has| |#1| (-368)) (|has| |#1| (-354))) +(-2892 (|has| |#1| (-235)) (|has| |#1| (-354))) +(-2892 (|has| |#1| (-368)) (|has| |#1| (-354))) ((((-1273 |#1|)) . T) (((-570)) . T) ((|#2|) . T) (((-413 (-570))) |has| |#2| (-1047 (-413 (-570))))) (|has| |#1| (-1109)) (((|#1|) . T)) -((((-1273 |#1|)) . T) (((-570)) . T) (($) -2895 (|has| |#2| (-368)) (|has| |#2| (-458)) (|has| |#2| (-562)) (|has| |#2| (-916))) (((-1091)) . T) ((|#2|) . T) (((-413 (-570))) -2895 (|has| |#2| (-38 (-413 (-570)))) (|has| |#2| (-1047 (-413 (-570)))))) +((((-1273 |#1|)) . T) (((-570)) . T) (($) -2892 (|has| |#2| (-368)) (|has| |#2| (-458)) (|has| |#2| (-562)) (|has| |#2| (-916))) (((-1091)) . T) ((|#2|) . T) (((-413 (-570))) -2892 (|has| |#2| (-38 (-413 (-570)))) (|has| |#2| (-1047 (-413 (-570)))))) ((((-413 (-570))) . T) (($) . T)) -((((-1008 |#1|)) . T) ((|#1|) . T) (((-570)) -2895 (|has| (-1008 |#1|) (-1047 (-570))) (|has| |#1| (-1047 (-570)))) (((-413 (-570))) -2895 (|has| (-1008 |#1|) (-1047 (-413 (-570)))) (|has| |#1| (-1047 (-413 (-570)))))) +((((-1008 |#1|)) . T) ((|#1|) . T) (((-570)) -2892 (|has| (-1008 |#1|) (-1047 (-570))) (|has| |#1| (-1047 (-570)))) (((-413 (-570))) -2892 (|has| (-1008 |#1|) (-1047 (-413 (-570)))) (|has| |#1| (-1047 (-413 (-570)))))) ((((-917 |#1|)) . T) (((-413 (-570))) . T) (($) . T)) (((|#1| |#1|) -12 (|has| |#1| (-313 |#1|)) (|has| |#1| (-1109)))) (((|#1| |#1|) -12 (|has| |#1| (-313 |#1|)) (|has| |#1| (-1109)))) @@ -3932,10 +3932,10 @@ (((|#1| |#2| |#3| |#4|) . T)) (((#0=(-1149 |#1| |#2|) #0#) |has| (-1149 |#1| |#2|) (-313 (-1149 |#1| |#2|)))) (((|#1|) . 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T) ((-570 . -1109) T) ((-501 . -1109) T) ((-247 . -292) 160975) ((-317 . -233) 160936) ((-1182 . -893) NIL) ((-55 . -1109) T) ((-1134 . -893) 160795) ((-130 . -856) T) ((-1182 . -1047) 160675) ((-1134 . -1047) 160558) ((-185 . -619) 160540) ((-860 . -1047) 160436) ((-788 . -290) 160363) ((-823 . -1121) T) ((-1043 . -732) T) ((-608 . -657) 160347) ((-1055 . -985) 160276) ((-1008 . -102) T) ((-823 . -23) T) ((-718 . -1161) 160254) ((-700 . -1067) T) ((-608 . -378) 160238) ((-356 . -458) T) ((-348 . -294) T) ((-1278 . -1109) T) ((-250 . -1109) T) ((-405 . -102) T) ((-293 . -21) T) ((-293 . -25) T) ((-366 . -732) T) ((-716 . -1109) T) ((-705 . -1109) T) ((-366 . -479) T) ((-1221 . -619) 160220) ((-1182 . -382) 160204) ((-1134 . -382) 160188) ((-1033 . -417) 160150) ((-142 . -231) 160132) ((-384 . -800) T) ((-384 . -797) T) ((-876 . -174) T) ((-384 . -732) T) ((-717 . -619) 160114) ((-718 . -38) 159943) ((-1277 . -1275) 159927) ((-356 . -408) T) ((-1277 . -1109) 159877) ((-1200 . -1109) T) 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. -1231) T) ((-1008 . -313) 159022) ((-882 . -622) 159003) ((-720 . -654) 158963) ((-219 . -1231) T) ((-687 . -622) 158944) ((-227 . -1047) 158904) ((-40 . -294) T) ((-682 . -622) 158885) ((-493 . -562) T) ((-484 . -622) 158866) ((-320 . -652) 158550) ((-317 . -652) 158464) ((-364 . -25) T) ((-364 . -21) T) ((-358 . -25) T) ((-219 . -562) T) ((-358 . -21) T) ((-350 . -25) T) ((-350 . -21) T) ((-247 . -622) 158441) ((-139 . -622) 158422) ((-138 . -622) 158403) ((-134 . -622) 158384) ((-108 . -25) T) ((-108 . -21) T) ((-48 . -1067) T) ((-586 . -174) T) ((-570 . -174) T) ((-501 . -174) T) ((-664 . -619) 158366) ((-743 . -742) 158350) ((-341 . -619) 158332) ((-68 . -388) T) ((-68 . -401) T) ((-1111 . -107) 158316) ((-1071 . -893) 158298) ((-959 . -893) 158223) ((-659 . -1121) T) ((-629 . -723) 158210) ((-487 . -893) NIL) ((-1155 . -102) T) ((-1103 . -624) 158194) ((-1071 . -1047) 158176) ((-97 . -619) 158158) ((-483 . -148) T) ((-959 . -1047) 158038) ((-118 . -723) 157983) ((-659 . -23) T) 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154244) ((-1151 . -102) T) ((-668 . -798) 154223) ((-659 . -132) T) ((-668 . -801) 154202) ((-118 . -520) 154110) ((-577 . -1047) 154092) ((-298 . -1284) 154062) ((-872 . -102) T) ((-970 . -562) 154041) ((-1221 . -1065) 153924) ((-1012 . -1060) 153869) ((-488 . -645) 153775) ((-911 . -1109) T) ((-1033 . -723) 153712) ((-717 . -1065) 153677) ((-1012 . -646) 153622) ((-623 . -102) T) ((-608 . -34) T) ((-1156 . -1227) T) ((-1221 . -111) 153491) ((-480 . -654) 153388) ((-359 . -723) 153333) ((-171 . -907) 153292) ((-705 . -294) T) ((-700 . -174) T) ((-717 . -111) 153248) ((-1306 . -1067) T) ((-1250 . -382) 153232) ((-424 . -1231) 153210) ((-1127 . -619) 153192) ((-317 . -854) NIL) ((-424 . -562) T) ((-227 . -311) T) ((-1240 . -797) 153145) ((-1240 . -800) 153098) ((-1261 . -732) T) ((-1240 . -732) T) ((-48 . -723) 153063) ((-227 . -1031) T) ((-356 . -1284) 153040) ((-1263 . -417) 153006) ((-724 . -732) T) ((-337 . -619) 152988) ((-1250 . -907) 152931) ((-1221 . -622) 152813) ((-112 . -619) 152795) ((-112 . -620) 152777) ((-724 . -479) T) ((-717 . -622) 152727) ((-1300 . -1060) 152711) ((-488 . -21) 152621) ((-128 . -495) 152605) ((-122 . -495) 152589) ((-488 . -25) 152440) ((-1300 . -646) 152410) ((-629 . -294) T) ((-592 . -1065) 152385) ((-443 . -1109) T) ((-1071 . -311) T) ((-118 . -294) T) ((-1113 . -102) T) ((-1012 . -102) T) ((-592 . -111) 152353) ((-1151 . -313) 152291) ((-1221 . -1058) T) ((-1071 . -1031) T) ((-66 . -1227) T) ((-1063 . -25) T) ((-1063 . -21) T) ((-717 . -1058) T) ((-390 . -21) T) ((-390 . -25) T) ((-700 . -520) NIL) ((-1033 . -174) T) ((-717 . -245) T) ((-1071 . -551) T) ((-718 . -652) 152201) ((-512 . -102) T) ((-508 . -102) T) ((-359 . -174) T) ((-348 . -619) 152183) ((-413 . -1060) 152135) ((-400 . -619) 152117) ((-1129 . -854) T) ((-480 . -732) T) ((-899 . -1047) 152085) ((-413 . -646) 152037) ((-108 . -856) T) ((-664 . -1065) 152021) ((-493 . -132) T) ((-1263 . -1067) T) ((-219 . -132) T) ((-1166 . -102) 151999) ((-99 . -1109) T) ((-247 . 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NIL) ((-741 . -1121) T) ((-721 . -1121) T) ((-664 . -622) 149866) ((-1277 . -495) 149850) ((-1151 . -38) 149810) ((-970 . -23) T) ((-917 . -654) 149775) ((-871 . -1109) T) ((-849 . -102) T) ((-823 . -21) T) ((-641 . -1060) 149759) ((-613 . -1060) 149743) ((-823 . -25) T) ((-741 . -23) T) ((-721 . -23) T) ((-641 . -646) 149727) ((-110 . -667) T) ((-613 . -646) 149711) ((-587 . -1065) 149676) ((-524 . -1065) 149621) ((-229 . -57) 149579) ((-459 . -23) T) ((-413 . -102) T) ((-266 . -102) T) ((-110 . -113) T) ((-700 . -294) T) ((-872 . -38) 149549) ((-587 . -111) 149505) ((-524 . -111) 149434) ((-1096 . -622) 149170) ((-424 . -1121) T) ((-320 . -1067) 149060) ((-317 . -1067) T) ((-129 . -1227) T) ((-788 . -622) 148808) ((-786 . -622) 148574) ((-664 . -1058) T) ((-1306 . -1109) T) ((-460 . -622) 148359) ((-171 . -311) 148290) ((-424 . -23) T) ((-40 . -619) 148272) ((-40 . -620) 148256) ((-108 . -1001) 148238) ((-117 . -875) 148222) ((-655 . -622) 148206) ((-48 . -520) 148172) ((-1213 . 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147336) ((-908 . -1109) 147314) ((-50 . -1058) T) ((-1289 . -21) T) ((-1289 . -25) T) ((-1184 . -562) 147293) ((-1183 . -1231) 147272) ((-1183 . -562) 147223) ((-587 . -1058) T) ((-524 . -1058) T) ((-1177 . -1231) 147202) ((-366 . -1047) 147186) ((-326 . -1047) 147170) ((-1033 . -294) T) ((-384 . -893) 147152) ((-1177 . -562) 147103) ((-1012 . -38) 147048) ((-1008 . -652) 146971) ((-805 . -1121) T) ((-917 . -732) T) ((-587 . -245) T) ((-587 . -235) T) ((-524 . -235) T) ((-524 . -245) T) ((-1135 . -562) 146950) ((-359 . -294) T) ((-653 . -701) 146934) ((-384 . -1047) 146894) ((-298 . -1060) 146815) ((-1129 . -1067) T) ((-103 . -126) 146799) ((-298 . -646) 146741) ((-805 . -23) T) ((-1299 . -1294) 146717) ((-1277 . -290) 146694) ((-413 . -313) 146659) ((-1297 . -1294) 146638) ((-1263 . -1109) T) ((-876 . -619) 146620) ((-842 . -1047) 146589) ((-205 . -793) T) ((-204 . -793) T) ((-203 . -793) T) ((-202 . -793) T) ((-201 . -793) T) ((-200 . -793) T) ((-199 . -793) T) ((-198 . -793) T) 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. -152) 144227) ((-348 . -235) T) ((-348 . -245) T) ((-40 . -1065) 144172) ((-878 . -891) 144156) ((-878 . -893) 144081) ((-718 . -1067) T) ((-700 . -1011) NIL) ((-1261 . -47) 144051) ((-1240 . -47) 144028) ((-1150 . -1019) 143999) ((-3 . |UnionCategory|) T) ((-1129 . -723) 143986) ((-1114 . -619) 143968) ((-1089 . -148) 143947) ((-1089 . -146) 143898) ((-973 . -622) 143882) ((-227 . -927) T) ((-40 . -111) 143811) ((-878 . -1047) 143675) ((-1013 . -368) T) ((-1012 . -233) 143652) ((-707 . -1060) 143639) ((-921 . -368) T) ((-707 . -646) 143626) ((-323 . -1215) 143592) ((-384 . -311) T) ((-323 . -1212) 143558) ((-320 . -174) 143537) ((-317 . -174) T) ((-587 . -1296) 143524) ((-524 . -1296) 143501) ((-364 . -148) 143480) ((-117 . -1060) 143467) ((-364 . -146) 143418) ((-358 . -148) 143397) ((-358 . -146) 143348) ((-350 . -148) 143327) ((-614 . -1203) 143303) ((-117 . -646) 143290) ((-350 . -146) 143241) ((-323 . -35) 143207) ((-481 . -1203) 143186) ((0 . |EnumerationCategory|) T) ((-323 . 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139808) ((-48 . -620) 139753) ((-242 . -132) 139623) ((-1300 . -652) 139582) ((-1250 . -927) 139561) ((-822 . -1231) 139540) ((-394 . -496) 139521) ((-1044 . -520) 139365) ((-394 . -619) 139331) ((-822 . -562) 139262) ((-592 . -654) 139237) ((-267 . -47) 139209) ((-249 . -47) 139166) ((-537 . -515) 139143) ((-586 . -622) 139115) ((-570 . -622) 139087) ((-501 . -622) 139020) ((-1083 . -1227) T) ((-1009 . -1227) T) ((-1269 . -23) T) ((-705 . -1065) 138985) ((-1269 . -1121) T) ((-1262 . -1121) T) ((-1262 . -23) T) ((-1241 . -1121) T) ((-1241 . -23) T) ((-1012 . -375) 138957) ((-112 . -373) T) ((-480 . -907) 138863) ((-1221 . -732) T) ((-911 . -619) 138845) ((-55 . -622) 138827) ((-91 . -107) 138811) ((-1129 . -294) T) ((-912 . -856) 138762) ((-707 . -1161) T) ((-705 . -111) 138718) ((-849 . -652) 138635) ((-602 . -1121) T) ((-601 . -1121) T) ((-718 . -723) 138464) ((-717 . -732) T) ((-1013 . -132) T) ((-980 . -132) T) ((-493 . -856) T) ((-921 . -132) T) ((-805 . -25) T) ((-805 . -21) T) 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NIL) ((-118 . -1065) 137526) ((-460 . -654) 137451) ((-670 . -1047) 137428) ((-629 . -111) 137413) ((-396 . -1060) 137397) ((-360 . -1047) 137381) ((-357 . -1047) 137365) ((-349 . -1047) 137349) ((-267 . -1047) 137193) ((-249 . -1047) 137069) ((-118 . -111) 136998) ((-59 . -1227) T) ((-396 . -646) 136982) ((-627 . -1060) 136966) ((-525 . -1227) T) ((-522 . -1227) T) ((-503 . -1227) T) ((-502 . -1227) T) ((-443 . -619) 136948) ((-440 . -619) 136930) ((-627 . -646) 136914) ((-3 . -102) T) ((-1036 . -1220) 136883) ((-839 . -102) T) ((-695 . -57) 136841) ((-705 . -1058) T) ((-641 . -652) 136810) ((-613 . -652) 136779) ((-50 . -654) 136753) ((-293 . -458) T) ((-482 . -1220) 136722) ((0 . -102) T) ((-587 . -654) 136687) ((-524 . -654) 136632) ((-49 . -102) T) ((-917 . -1047) 136619) ((-705 . -245) T) ((-1089 . -415) 136598) ((-737 . -645) 136546) ((-1008 . -1109) T) ((-718 . -174) 136437) ((-629 . -622) 136332) ((-493 . -1001) 136314) ((-267 . -382) 136298) ((-249 . -382) 136282) ((-405 . -1109) T) ((-1035 . -102) 136260) ((-344 . -38) 136244) ((-219 . -1001) 136226) ((-118 . -622) 136156) ((-176 . -38) 136088) ((-1261 . -311) 136067) ((-1240 . -311) 136046) ((-664 . -732) T) ((-99 . -619) 136028) ((-483 . -1060) 135993) ((-1177 . -645) 135945) ((-483 . -646) 135910) ((-491 . -25) T) ((-491 . -21) T) ((-1240 . -1031) 135862) ((-1066 . -1227) T) ((-629 . -1058) T) ((-384 . -410) T) ((-396 . -102) T) ((-1114 . -624) 135777) ((-267 . -907) 135723) ((-249 . -907) 135700) ((-118 . -1058) T) ((-822 . -1121) T) ((-1096 . -732) T) ((-629 . -235) 135679) ((-627 . -102) T) ((-788 . -732) T) ((-786 . -732) T) ((-419 . -1121) T) ((-118 . -245) T) ((-40 . -373) NIL) ((-118 . -235) NIL) ((-1232 . -856) T) ((-460 . -732) T) ((-822 . -23) T) ((-737 . -25) T) ((-737 . -21) T) ((-1086 . -290) 135658) ((-78 . -402) T) ((-78 . -401) T) ((-539 . -773) 135640) ((-700 . -1065) 135590) ((-1269 . -132) T) ((-1262 . -132) T) ((-1241 . -132) T) ((-1184 . -25) T) ((-1151 . -417) 135574) ((-641 . 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134403) ((-1301 . -646) 134373) ((-386 . -646) 134343) ((-700 . -622) 134278) ((-1292 . -23) T) ((-1279 . -102) T) ((-177 . -619) 134260) ((-1151 . -1067) T) ((-553 . -373) T) ((-676 . -750) 134244) ((-1188 . -146) 134223) ((-1188 . -148) 134202) ((-1155 . -1109) T) ((-1155 . -1080) 134171) ((-69 . -1227) T) ((-1033 . -1065) 134108) ((-356 . -652) 134038) ((-872 . -1067) T) ((-242 . -645) 133944) ((-700 . -1058) T) ((-359 . -1065) 133889) ((-61 . -1227) T) ((-1033 . -111) 133805) ((-908 . -619) 133716) ((-700 . -245) T) ((-700 . -235) NIL) ((-849 . -854) 133695) ((-705 . -801) T) ((-705 . -798) T) ((-1012 . -417) 133672) ((-359 . -111) 133601) ((-384 . -927) T) ((-413 . -854) 133580) ((-718 . -294) 133491) ((-225 . -732) T) ((-1269 . -499) 133457) ((-1262 . -499) 133423) ((-1241 . -499) 133389) ((-584 . -1109) T) ((-320 . -1011) 133368) ((-224 . -1109) 133346) ((-1234 . -850) T) ((-323 . -982) 133308) ((-105 . -102) T) ((-48 . -1065) 133273) ((-1301 . -102) T) ((-386 . -102) T) ((-48 . 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. -148) 120716) ((-1135 . -146) 120695) ((-323 . -38) 120536) ((-171 . -132) T) ((-317 . -801) NIL) ((-317 . -798) NIL) ((-660 . -1058) T) ((-48 . -654) 120501) ((-1122 . -1060) 120398) ((-900 . -622) 120375) ((-1122 . -646) 120317) ((-1176 . -102) T) ((-1003 . -102) T) ((-1002 . -21) T) ((-128 . -1019) 120301) ((-122 . -1019) 120285) ((-1002 . -25) T) ((-908 . -120) 120269) ((-1168 . -102) T) ((-1250 . -132) T) ((-1182 . -25) T) ((-1182 . -21) T) ((-861 . -132) T) ((-1134 . -25) T) ((-1134 . -21) T) ((-860 . -25) T) ((-860 . -21) T) ((-788 . -311) 120248) ((-653 . -102) 120226) ((-638 . -102) T) ((-1169 . -313) 120021) ((-577 . -132) T) ((-627 . -854) 120000) ((-1166 . -495) 119984) ((-1159 . -152) 119934) ((-1155 . -619) 119896) ((-1155 . -620) 119857) ((-1033 . -797) T) ((-1033 . -800) T) ((-1033 . -732) T) ((-718 . -1065) 119680) ((-490 . -313) 119618) ((-459 . -423) 119588) ((-356 . -174) T) ((-293 . -38) 119575) ((-277 . -102) T) ((-276 . -102) T) ((-275 . -102) T) ((-274 . -102) 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117290) ((-718 . -235) T) ((-707 . -723) 117277) ((-344 . -1109) T) ((-176 . -1109) T) ((-335 . -856) T) ((-424 . -458) 117227) ((-384 . -23) T) ((-364 . -38) 117192) ((-358 . -38) 117157) ((-350 . -38) 117122) ((-80 . -447) T) ((-80 . -401) T) ((-227 . -25) T) ((-227 . -21) T) ((-842 . -1121) T) ((-108 . -38) 117072) ((-833 . -1121) T) ((-780 . -1109) T) ((-117 . -723) 117059) ((-678 . -1047) 117043) ((-618 . -102) T) ((-842 . -23) T) ((-833 . -23) T) ((-1166 . -290) 117020) ((-1122 . -313) 116958) ((-488 . -1060) 116855) ((-1111 . -237) 116839) ((-64 . -402) T) ((-64 . -401) T) ((-1160 . -102) T) ((-110 . -102) T) ((-488 . -646) 116781) ((-40 . -382) 116758) ((-96 . -102) T) ((-659 . -858) 116742) ((-1144 . -1092) T) ((-1071 . -21) T) ((-1071 . -25) T) ((-1063 . -1060) 116726) ((-821 . -233) 116695) ((-959 . -25) T) ((-959 . -21) T) ((-1063 . -646) 116637) ((-627 . -1067) T) ((-1129 . -373) T) ((-1036 . -313) 116575) ((-676 . -652) 116534) ((-487 . -25) T) ((-487 . -21) T) ((-390 . 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. -102) T) ((-44 . -652) 114902) ((-420 . -102) T) ((-390 . -102) T) ((-110 . -313) NIL) ((-229 . -102) 114880) ((-128 . -1227) T) ((-122 . -1227) T) ((-823 . -1060) 114831) ((-823 . -646) 114773) ((-1043 . -132) T) ((-676 . -372) 114757) ((-153 . -652) 114716) ((-1008 . -1058) T) ((-1250 . -645) 114664) ((-1113 . -619) 114646) ((-1012 . -619) 114628) ((-521 . -23) T) ((-516 . -23) T) ((-348 . -311) T) ((-514 . -23) T) ((-326 . -132) T) ((-3 . -1109) T) ((-1012 . -620) 114612) ((-1008 . -245) 114591) ((-1008 . -235) 114570) ((-1306 . -732) T) ((-1269 . -146) 114549) ((-839 . -1109) T) ((-1269 . -148) 114528) ((-1262 . -148) 114507) ((-1262 . -146) 114486) ((-1261 . -1231) 114465) ((-1241 . -146) 114372) ((-1241 . -148) 114279) ((-1240 . -1231) 114258) ((-384 . -132) T) ((-570 . -893) 114240) ((0 . -1109) T) ((-176 . -174) T) ((-171 . -21) T) ((-171 . -25) T) ((-49 . -1109) T) ((-1263 . -654) 114145) ((-1261 . -562) 114096) ((-720 . -1121) T) ((-1240 . -562) 114047) ((-570 . -1047) 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84528) ((-718 . -311) 84507) ((-298 . -732) 84409) ((-830 . -102) T) ((-870 . -850) T) ((-298 . -479) 84388) ((-1292 . -102) T) ((-40 . -368) T) ((-878 . -148) 84367) ((-491 . -652) 84349) ((-878 . -146) 84328) ((-1168 . -495) 84310) ((-1301 . -1058) T) ((-488 . -520) 84243) ((-1155 . -1227) T) ((-971 . -619) 84225) ((-653 . -495) 84209) ((-638 . -495) 84140) ((-821 . -619) 83871) ((-48 . -27) T) ((-1188 . -723) 83768) ((-659 . -1109) T) ((-867 . -866) T) ((-442 . -369) 83742) ((-737 . -652) 83652) ((-1111 . -102) T) ((-979 . -1109) T) ((-870 . -1109) T) ((-822 . -313) 83639) ((-539 . -533) T) ((-539 . -582) T) ((-1297 . -387) 83611) ((-1063 . -520) 83544) ((-1169 . -290) 83520) ((-242 . -233) 83489) ((-254 . -1060) 83386) ((-253 . -1060) 83283) ((-1289 . -723) 83253) ((-1176 . -93) T) ((-1003 . -93) T) ((-823 . -174) 83232) ((-254 . -646) 83174) ((-253 . -646) 83116) ((-1224 . -496) 83093) ((-229 . -520) 83026) ((-627 . -801) 83005) ((-627 . -798) 82984) ((-1224 . -619) 82896) ((-224 . -1227) T) ((-681 . -619) 82828) ((-1184 . -652) 82738) ((-1166 . -1019) 82722) ((-950 . -102) 82672) ((-356 . -732) T) ((-867 . -619) 82654) ((-1183 . -652) 82536) ((-1177 . -652) 82373) ((-1135 . -652) 82283) ((-1241 . -406) 82235) ((-1122 . -495) 82219) ((-60 . -313) 82157) ((-335 . -102) T) ((-1221 . -21) T) ((-1221 . -25) T) ((-40 . -1121) T) ((-717 . -21) T) ((-633 . -619) 82139) ((-521 . -327) 82118) ((-717 . -25) T) ((-445 . -102) T) ((-108 . -290) NIL) ((-928 . -1121) T) ((-40 . -23) T) ((-777 . -1121) T) ((-570 . -1231) T) ((-501 . -1231) T) ((-323 . -619) 82100) ((-1013 . -233) 82082) ((-171 . -167) 82066) ((-586 . -562) T) ((-570 . -562) T) ((-501 . -562) T) ((-777 . -23) T) ((-1261 . -148) 82045) ((-1169 . -610) 82021) ((-1261 . -146) 82000) ((-1036 . -495) 81984) ((-1240 . -146) 81909) ((-1240 . -148) 81834) ((-1292 . -1298) 81813) ((-482 . -495) 81797) ((-469 . -495) 81781) ((-529 . -34) T) ((-659 . -723) 81751) ((-112 . -976) T) ((-668 . -856) 81730) ((-1188 . -174) 81681) ((-370 . -102) T) ((-242 . -240) 81660) ((-254 . -102) T) ((-253 . -102) T) ((-1250 . -956) 81629) ((-247 . -856) 81608) ((-822 . -38) 81457) ((-45 . -520) 81249) ((-1168 . -290) 81224) ((-216 . -1109) T) ((-1159 . -1109) T) ((-1159 . -616) 81203) ((-592 . -25) T) ((-592 . -21) T) ((-1111 . -313) 81141) ((-970 . -417) 81125) ((-705 . -1231) T) ((-638 . -290) 81100) ((-1096 . -645) 81048) ((-788 . -645) 80996) ((-786 . -645) 80944) ((-348 . -132) T) ((-293 . -619) 80926) ((-912 . -1109) T) ((-705 . -562) T) ((-130 . -622) 80908) ((-876 . -1121) T) ((-460 . -645) 80856) ((-912 . -910) 80840) ((-384 . -458) T) ((-493 . -1109) T) ((-950 . -313) 80778) ((-707 . -654) 80765) ((-555 . -850) T) ((-219 . -1109) T) ((-320 . -927) 80744) ((-317 . -927) T) ((-317 . -826) NIL) ((-396 . -726) T) ((-876 . -23) T) ((-117 . -654) 80731) ((-480 . -146) 80710) ((-424 . -417) 80694) ((-480 . -148) 80673) ((-110 . -495) 80655) ((-315 . -622) 80636) ((-2 . -619) 80618) ((-188 . -102) T) ((-1168 . -19) 80600) ((-1168 . -610) 80575) ((-664 . -21) T) ((-664 . -25) T) ((-599 . -1153) T) ((-1122 . -290) 80552) ((-341 . -25) T) ((-341 . -21) T) ((-242 . -652) 80302) ((-501 . -368) T) ((-1292 . -38) 80272) ((-1182 . -1060) 80095) ((-1151 . -1227) T) ((-1134 . -1060) 79938) ((-860 . -1060) 79922) ((-638 . -610) 79897) ((-1299 . -1065) 79881) ((-1297 . -1065) 79865) ((-1182 . -646) 79694) ((-1134 . -646) 79543) ((-860 . -646) 79513) ((-1261 . -1212) 79479) ((-1261 . -1215) 79445) ((-555 . -1109) T) ((-1096 . -25) T) ((-1096 . -21) T) ((-537 . -798) T) ((-537 . -801) T) ((-118 . -1231) T) ((-970 . -1067) T) ((-629 . -562) T) ((-788 . -25) T) ((-788 . -21) T) ((-786 . -21) T) ((-786 . -25) T) ((-741 . -1067) T) ((-721 . -1067) T) ((-676 . -1065) 79429) ((-523 . -1092) T) ((-467 . -25) T) ((-118 . -562) T) ((-467 . -21) T) ((-460 . -25) T) ((-460 . -21) T) ((-1261 . -95) 79395) ((-1160 . -93) T) ((-1151 . -1047) 79291) ((-823 . -294) 79270) ((-1244 . -102) 79248) ((-829 . -1109) T) ((-973 . -976) T) ((-676 . -111) 79227) ((-623 . -1227) T) ((-299 . -520) 79019) ((-1241 . -233) 78971) ((-1240 . -1212) 78937) ((-1240 . -1215) 78903) ((-254 . -313) 78841) ((-253 . -313) 78779) ((-1235 . -373) T) ((-1169 . -620) NIL) ((-1169 . -619) 78761) ((-1232 . -850) T) ((-1151 . -382) 78745) ((-1129 . -826) T) ((-96 . -93) T) ((-1129 . -927) T) ((-1122 . -610) 78722) ((-1089 . -620) 78706) ((-1013 . -652) 78656) ((-921 . -652) 78593) ((-821 . -292) 78570) ((-490 . -619) 78502) ((-614 . -152) 78449) ((-493 . -723) 78399) ((-424 . -1067) T) ((-488 . -495) 78383) ((-433 . -652) 78342) ((-331 . -856) 78321) ((-344 . -654) 78295) ((-50 . -21) T) ((-50 . -25) T) ((-219 . -723) 78245) ((-171 . -730) 78216) ((-176 . -654) 78148) ((-587 . -21) T) ((-587 . -25) T) ((-524 . -25) T) ((-524 . -21) T) ((-481 . -152) 78098) ((-1089 . -619) 78080) ((-1070 . -619) 78062) ((-1002 . -102) T) ((-868 . -102) T) ((-805 . -417) 78025) ((-40 . -132) T) ((-705 . -368) T) ((-707 . -732) T) ((-707 . -800) T) 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\ No newline at end of file diff --git a/src/share/algebra/compress.daase b/src/share/algebra/compress.daase index 131d383c..8a72dbc4 100644 --- a/src/share/algebra/compress.daase +++ b/src/share/algebra/compress.daase @@ -1,5 +1,5 @@ -(30 . 3480912608) +(30 . 3480995944) (4455 |Enumeration| |Mapping| |Record| |Union| |ofCategory| |isDomain| ATTRIBUTE |package| |domain| |category| CATEGORY |nobranch| AND |Join| |ofType| SIGNATURE "failed" "algebra" |OneDimensionalArrayAggregate&| @@ -484,667 +484,665 @@ |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |YoungDiagram| |ParadoxicalCombinatorsForStreams| |ZeroDimensionalSolvePackage| |IntegerLinearDependence| |IntegerMod| |Enumeration| |Mapping| - |Record| |Union| |hyperelliptic| |lexico| |contains?| - |viewDeltaXDefault| |pi| |weierstrass| |choosemon| |e04gcf| |concat!| - |triangular?| |s14abf| |printTypes| |clipParametric| |addBadValue| - |exponentialOrder| |infinity| |hexDigit| |preprocess| |getCode| - |nullity| |f01ref| |buildSyntax| |rightExtendedGcd| |positiveSolve| - |ldf2vmf| |prime?| |cond| |setOrder| |extendedEuclidean| - |quadraticNorm| |relationsIdeal| |returnTypeOf| |fglmIfCan| |f02bjf| - |branchPoint?| |beauzamyBound| |numericalIntegration| |overset?| - |generate| |ratDenom| |log10| |antiCommutative?| |ref| |deepExpand| - |c02aff| |length| |map| |index?| |s19acf| |perfectSquare?| |c06ecf| - |e02agf| |badNum| |bitand| |setPosition| |kernel| |dAndcExp| |e04ycf| - |isTimes| |scripts| |flagFactor| |realEigenvectors| |isQuotient| - |iidprod| |incrementBy| |nsqfree| |shuffle| |finite?| |outerProduct| - |bitior| |partitions| |draw| |SFunction| |sumOfSquares| |dmp2rfi| - |listYoungTableaus| |schema| |mainVariables| |palgLODE| - |mainCharacterization| |clearDenominator| |s13adf| |expand| - |generalSqFr| |rangeIsFinite| |bernoulliB| |qfactor| |showArrayValues| - |rischDEsys| |radix| |currentEnv| |matrixGcd| |lifting1| |Hausdorff| - |permanent| |filterWhile| |square?| |setright!| |cyclic| - |setClipValue| |integral| |alphabetic| |tanAn| |mapExponents| |e04dgf| - |semiSubResultantGcdEuclidean1| |findBinding| |filterUntil| |symbol| - |clearTheFTable| |checkForZero| |ratDsolve| |OMwrite| |diagonal?| - |revert| |convert| |Frobenius| |maxdeg| |previous| |singleFactorBound| - |setPoly| |lowerCase!| |infRittWu?| |select| |expression| - |stoseInternalLastSubResultant| |irreducible?| |makeObject| - |inputBinaryFile| |limitedint| |ScanFloatIgnoreSpaces| |chebyshevT| - |s14aaf| |diff| |height| |cSin| |OMputEndAttr| |integers| |mesh| - |integer| |nativeModuleExtension| |adaptive3D?| |coef| - |semiDegreeSubResultantEuclidean| |complexElementary| - |toseInvertibleSet| |tanh2coth| |linearlyDependentOverZ?| - |setPrologue!| |getMultiplicationTable| |numberOfIrreduciblePoly| - |hasSolution?| |transcendenceDegree| |elliptic?| |arbitrary| - |insertBottom!| |failed?| |notelem| |leftGcd| |addMatch| - |mainCoefficients| |safeCeiling| |dual| |showTheIFTable| - |nextsubResultant2| |createLowComplexityNormalBasis| |f02akf| |yRange| - |cyclicEntries| |selectODEIVPRoutines| |cyclicCopy| ** - |purelyTranscendental?| |viewWriteAvailable| - |basisOfCommutingElements| |debug3D| |OMreadStr| |parent| - |numFunEvals3D| |zRange| |principalAncestors| |midpoints| - |setRealSteps| |row| |OMopenString| |slex| |rombergo| |hessian| - |elements| |functionIsOscillatory| |resultantnaif| |insertTop!| |map!| - |yCoordinates| |integralBasisAtInfinity| |nextColeman| RF2UTS - |rightQuotient| |stFunc1| |power!| |makeRecord| |f02ajf| |quartic| - |tan2cot| |lo| |hostPlatform| |factorAndSplit| |qsetelt!| - |paraboloidal| |virtualDegree| |musserTrials| |pushdterm| |s18acf| - |mapmult| |getIdentifier| |denominator| |symbol?| |extension| |incr| - |palgRDE| |uncouplingMatrices| |label| |imagK| |byteBuffer| |d02gbf| - |tValues| |OMcloseConn| |initial| |binaryTournament| |mapCoef| - |listRepresentation| |airyBi| |edf2df| |Aleph| |makeYoungTableau| - |normalDenom| |e01bff| |antisymmetric?| |errorKind| |leadingIndex| - |signatureAst| |pop!| |csc2sin| |d03faf| - |stiffnessAndStabilityOfODEIF| |readByte!| |patternMatch| - |factorPolynomial| |selectFiniteRoutines| |addMatchRestricted| - |drawComplexVectorField| |iiacsc| |rightNorm| |nthExpon| - |exprToGenUPS| |simplifyPower| |euclideanGroebner| |startTable!| - |symFunc| |viewDefaults| |moduloP| Y |sncndn| |modulus| - |halfExtendedSubResultantGcd1| |s17agf| |monomRDEsys| |testModulus| - |acsch| |shanksDiscLogAlgorithm| |LiePoly| |reverse!| |lambert| - |setTopPredicate| |pToDmp| |head| |rightUnits| |rename!| - |certainlySubVariety?| |initiallyReduce| |normDeriv2| |ratPoly| - |front| |chvar| |chebyshevU| |reciprocalPolynomial| |OMencodingBinary| - |iiasinh| |irDef| |range| |pseudoDivide| |compose| |tail| |rotatez| - |addmod| |mix| |isAnd| |mapMatrixIfCan| |maxPoints3D| |constructor| - |rules| |edf2efi| |iflist2Result| |randomLC| |partialFraction| - |OMReadError?| |putProperties| |solveRetract| |padicFraction| |curve| - |rCoord| |truncate| |fortranReal| |nothing| |stronglyReduced?| - |zerosOf| |every?| |eigenMatrix| |option| |primeFactor| |collect| - |insertMatch| |internalAugment| |infinityNorm| |sqfree| |showSummary| - |innerint| |pointLists| |primextendedint| |dequeue!| |s17acf| - |topFortranOutputStack| |extractPoint| |lex| |getConstant| |setEmpty!| - |setvalue!| |stopTableInvSet!| |factorSFBRlcUnit| |splitDenominator| - |finiteBound| |e02aef| |numberOfChildren| |OMputApp| |bat1| |pdf2ef| - |selectfirst| |showAttributes| |noValueMode| |completeSmith| - |intChoose| |divideExponents| |iilog| |unknown| |solveLinear| - |setClosed| |morphism| |OMmakeConn| |bigEndian| |eigenvalues| - |macroExpand| |linearAssociatedLog| |returns| |meshFun2Var| |coerceS| - |rightTrim| |palglimint0| |OMsend| |mainExpression| |prinpolINFO| - |e01saf| |complete| |mindeg| |extract!| |iiatanh| |hdmpToP| - |unrankImproperPartitions0| |leftTrim| |c06fqf| |tanh2trigh| - |dmpToHdmp| |f02adf| |squareFreeFactors| |d02cjf| |f04axf| |option?| - |euclideanNormalForm| |extractTop!| |constantLeft| |RittWuCompare| - |fmecg| |evenInfiniteProduct| |rootKerSimp| |OMputString| |operators| - |semiIndiceSubResultantEuclidean| |say| |gensym| F |list?| - |tanintegrate| |laguerreL| |var1StepsDefault| |OMputFloat| - |perfectNthPower?| |safeFloor| |cAtanh| |expint| |mathieu23| - |localAbs| |unrankImproperPartitions1| |bitTruth| |c05nbf| |component| - |integralLastSubResultant| |mainPrimitivePart| - |cyclotomicDecomposition| |removeSuperfluousQuasiComponents| - |dihedral| |binomial| |d03eef| |acotIfCan| |rspace| |extractProperty| - |has?| |setCondition!| |elaborate| |ramified?| |firstSubsetGray| - |graphImage| |llprop| |remove| |function| |multivariate| |lieAlgebra?| - |minPol| |nonSingularModel| |credPol| |createNormalPrimitivePoly| - |showRegion| |constantIfCan| |fortran| |approxSqrt| |cLog| |variables| - |commaSeparate| |fractRagits| |result| |identitySquareMatrix| - |getOperands| |univariatePolynomialsGcds| |showClipRegion| - |numerators| |clip| |open| |OMgetAttr| |fibonacci| |cschIfCan| - |linSolve| |last| |eval| |reduced?| |reset| |cSec| |alternatingGroup| - |var2Steps| |isPlus| |module| |assoc| |comparison| |interactiveEnv| - |null| |OMUnknownCD?| |csubst| |doublyTransitive?| |perfectNthRoot| - |solveLinearPolynomialEquationByFractions| |OMputInteger| |iiGamma| - |OMParseError?| |polyPart| |domainTemplate| |removeCoshSq| |f04atf| - |pattern| |not| |subNodeOf?| |idealiser| |OMgetFloat| |write| - |upperCase?| |fintegrate| |edf2ef| |OMputAtp| |expintegrate| - |doubleDisc| |absolutelyIrreducible?| |ode| |clearFortranOutputStack| - |and| |isImplies| |hasHi| |save| |d01aqf| |univariatePolynomials| - |permutations| |nthFractionalTerm| |operations| |hdmpToDmp| - |pmintegrate| |subResultantGcdEuclidean| |taylor| |getPickedPoints| - |or| |mainSquareFreePart| |indicialEquation| |modifyPointData| - |c05pbf| |s17ahf| |reducedForm| |inverseIntegralMatrixAtInfinity| - |branchIfCan| |iiperm| |numerator| |leftOne| |ridHack1| |xor| - |laurentRep| |laurent| |adjoint| |bombieriNorm| |rk4a| |primitive?| - |bounds| |multMonom| |generalInfiniteProduct| |message| - |internalDecompose| |prepareSubResAlgo| |quasiMonic?| |case| - |pointColorDefault| |puiseux| |setfirst!| - |functionIsContinuousAtEndPoints| |s17adf| |clipBoolean| |duplicates?| - |createMultiplicationTable| |atrapezoidal| |mergeFactors| |Zero| - |coth2tanh| |coefficient| |bandedJacobian| |wordInStrongGenerators| - |numberOfOperations| |internalSubPolSet?| |green| |hi| |null?| - |torsionIfCan| |region| |normalizeAtInfinity| |f02agf| |One| |atom?| - |inv| |polygon| |s21baf| |algebraicOf| |unitNormalize| FG2F - |lfinfieldint| |highCommonTerms| |imagi| |ground?| |supersub| |rarrow| - |opeval| |shade| |lowerPolynomial| |setScreenResolution| |prindINFO| - |quoted?| |structuralConstants| |repeating| |rectangularMatrix| - |doubleResultant| |ground| |lcm| |sinhIfCan| |cAcsc| |unmakeSUP| - |seriesToOutputForm| |s20adf| |removeZeroes| |figureUnits| |scale| - |f02wef| |zeroSetSplit| |sechIfCan| |generalizedEigenvector| - |leadingMonomial| |wordsForStrongGenerators| |birth| |setrest!| - |ceiling| |ScanFloatIgnoreSpacesIfCan| |floor| |addPointLast| - |fracPart| |cCsc| |setLength!| |palglimint| |append| |deref| - |leadingCoefficient| |recip| |rotatex| |f2df| |size?| - |patternMatchTimes| |reseed| |coerceP| |newReduc| |FormatArabic| - |primitiveMonomials| |gcd| |output| |Gamma| |elt| |minColIndex| - |primitivePart| |df2mf| |e02daf| |build| |gcdcofact| |cos2sec| - |showTheRoutinesTable| |leadingExponent| |deepestTail| |false| - |reductum| |hconcat| |plot| |minset| |trim| |log2| |irCtor| |conical| - |polyRDE| |solveLinearlyOverQ| |submod| |argumentListOf| - |subtractIfCan| |changeThreshhold| |arity| |shallowCopy| - |setLabelValue| |eyeDistance| |readLine!| |copy!| |power| - |isConnected?| |OMconnInDevice| |normalElement| |implies| |printCode| - |internalSubQuasiComponent?| |iprint| |characteristicSet| |OMgetBVar| - |conjug| |tanSum| |brillhartTrials| |rationalFunction| |nthCoef| - |readLineIfCan!| |mathieu12| |cycleEntry| |singular?| |c06fpf| - |c06fuf| |minGbasis| |extractIfCan| |reducedContinuedFraction| - |ellipticCylindrical| |primintegrate| |composites| |packageCall| - |OMputEndAtp| |zeroDimPrimary?| |schwerpunkt| |contract| - |euclideanSize| |reorder| |alphabetic?| |e01sff| |OMputSymbol| - |subresultantVector| |rootProduct| |factorList| - |selectMultiDimensionalRoutines| |subResultantsChain| |totalGroebner| - |f02fjf| |scanOneDimSubspaces| |categories| |sinhcosh| |unexpand| - |outputGeneral| |integrate| |OMgetEndBVar| |fortranTypeOf| |callForm?| - |unitsColorDefault| |bumptab1| |normalizedDivide| |ricDsolve| - |multiEuclideanTree| |printHeader| |nextNormalPoly| |inverseColeman| - |slash| |returnType!| |iipow| |applyRules| |socf2socdf| - |extendedSubResultantGcd| |karatsubaDivide| |stirling1| |prinb| - |normFactors| |node?| |f01brf| |accuracyIF| |round| |asinIfCan| - |traverse| |internalIntegrate| |members| |groebgen| |weighted| - |lazyPseudoRemainder| |stoseInvertibleSetsqfreg| |subMatrix| - |dualSignature| |sinIfCan| |iicot| |fill!| |makeprod| |real?| - |decreasePrecision| |usingTable?| |eulerE| |OMopenFile| |plusInfinity| - |c06gqf| |ranges| |kovacic| |ParCond| |equiv| |genericRightTrace| - |definingPolynomial| |complexEigenvalues| |content| |chineseRemainder| - |isAtom| |minusInfinity| |getZechTable| |complexNumericIfCan| - |bezoutMatrix| |radicalSolve| |internal?| |evenlambert| |copyInto!| - |wronskianMatrix| |bezoutResultant| |numberOfNormalPoly| |character?| - |clipPointsDefault| |sturmVariationsOf| |modTree| |leftZero| |e02bcf| - |numberOfComposites| |OMgetEndApp| |subPolSet?| |getRef| - |clearTheIFTable| |deriv| |tubePlot| |matrixConcat3D| |countRealRoots| - |endOfFile?| |key| |changeName| |rightDivide| |linears| |initTable!| - |alternating| |complex?| |rootPoly| |imports| |adaptive?| |weight| - |cCot| |nodes| |subTriSet?| |toroidal| |OMgetAtp| |f02aef| - |characteristicPolynomial| |BumInSepFFE| |rootsOf| - |getMultiplicationMatrix| |filename| |twoFactor| |stoseInvertible?| - |intensity| |df2fi| |f04mbf| |attributeData| |components| |type| - |plus!| |times!| |ptFunc| |imagj| |basisOfCentroid| - |generalizedContinuumHypothesisAssumed?| |quickSort| - |indiceSubResultantEuclidean| |UP2ifCan| |evaluate| |generalLambert| - |solveLinearPolynomialEquationByRecursion| |monomRDE| |parse| - |typeLists| |curveColorPalette| |low| |groebner| |resize| |romberg| - |indicialEquations| |trapezoidalo| |next| |resetNew| |froot| - |rightFactorIfCan| |whatInfinity| |doubleFloatFormat| |btwFact| - |d01gbf| |rewriteIdealWithRemainder| - |removeIrreducibleRedundantFactors| |subspace| - |leftCharacteristicPolynomial| |restorePrecision| |hermite| |s19abf| - |geometric| |elliptic| |f01rcf| |computeInt| |maxrow| |reducedSystem| - |totalDifferential| |modularGcd| |upperCase| |e01bgf| - |symmetricDifference| |cylindrical| |iiasech| |karatsubaOnce| - |checkPrecision| |imagI| |minPoints| |reduceByQuasiMonic| - |printStats!| |less?| |factor1| |internalInfRittWu?| |mapExpon| - |primitivePart!| |updateStatus!| |pow| EQ |currentSubProgram| - |localReal?| |groebnerIdeal| |setchildren!| |expenseOfEvaluationIF| - |stoseInvertibleSetreg| |currentCategoryFrame| |pointSizeDefault| - |dark| |besselJ| |realElementary| |palgint0| |rowEch| |getMeasure| - |lhs| |quadratic| |besselK| |complexIntegrate| |repeating?| - |definingInequation| |nonQsign| |headReduce| |relerror| |laurentIfCan| - |incrementKthElement| |rhs| |expenseOfEvaluation| |writeBytes!| |Ci| - |asinhIfCan| |newTypeLists| |getVariableOrder| |fixedPointExquo| - |magnitude| |tRange| |root| |interReduce| |partialDenominators| - |polCase| |iiacot| |iisech| |unprotectedRemoveRedundantFactors| - |realRoots| |univariatePolynomial| |environment| |integralRepresents| - |SturmHabichtSequence| |getCurve| |s17ajf| |B1solve| |interval| - |nthRoot| |testDim| |cExp| |f07aef| |rule| |OMgetEndError| |subscript| - |viewport2D| |dioSolve| |sdf2lst| |entry?| |lazyPrem| |showAll?| - |discriminant| |constantKernel| |index| |completeEchelonBasis| - |firstUncouplingMatrix| |merge!| |leftLcm| |generalTwoFactor| - |cycleRagits| |lastSubResultantElseSplit| |weights| |addPoint2| - |infinite?| |maxRowIndex| |sin?| |pseudoRemainder| |nthExponent| - UTS2UP |solveid| |OMputEndError| |partialNumerators| |inf| |s17akf| - |removeSquaresIfCan| |center| |splitLinear| |e02ajf| |isMult| - |cRationalPower| |solveInField| |nextLatticePermutation| - |fortranDoubleComplex| |s21bdf| |radicalEigenvectors| - |limitedIntegrate| |pair| |resultantEuclideannaif| |commonDenominator| - |prinshINFO| |acosIfCan| |showFortranOutputStack| |cotIfCan| |polyred| - |value| |listOfLists| |differentialVariables| |rst| |d02kef| - |rational?| |regime| |makeSUP| |d02gaf| |more?| |logical?| - |bubbleSort!| |dimensionOfIrreducibleRepresentation| |UnVectorise| - |represents| |diagonalMatrix| |cAtan| |graphStates| |factorOfDegree| - |roughBase?| |f04jgf| |rdregime| |separateDegrees| - |possiblyNewVariety?| |powerSum| |transpose| |nor| - |useEisensteinCriterion| |replaceKthElement| |medialSet| |binding| - |roughSubIdeal?| |entry| |hasoln| |perspective| |key?| |e02zaf| - |invmod| |positive?| |whitePoint| |contractSolve| |lintgcd| |iExquo| - |totalLex| |lazyPquo| |fullDisplay| |quadraticForm| |separant| |red| - |SturmHabichtMultiple| |lighting| |linearPolynomials| |sincos| - |gcdPolynomial| |factorials| |delay| |makingStats?| |f02aff| - |RemainderList| |nand| |topPredicate| |maxint| |pade| |skewSFunction| - |distdfact| |decimal| |dictionary| |mappingMode| |oddintegers| - |kroneckerDelta| |intPatternMatch| |getStream| |reverse| |phiCoord| - |alphanumeric| |divisor| |multinomial| |remove!| |laplacian| - |mainVariable?| |generalizedInverse| |OMread| |iitanh| |normalized?| - |mapUnivariate| |call| |processTemplate| |shrinkable| |s21bbf| - |rationalPoint?| |mkPrim| |alphanumeric?| |lookup| |LyndonCoordinates| - |setAdaptive| |someBasis| |leaves| |tree| |screenResolution3D| - |f02aaf| |sin2csc| |innerSolve| |open?| |squareTop| |sequences| - |leftRank| |countRealRootsMultiple| |nil?| |physicalLength| |sequence| - |iCompose| |oblateSpheroidal| |primPartElseUnitCanonical!| - |fortranComplex| |transform| |irreducibleRepresentation| |atanIfCan| - |sumOfDivisors| |s17aff| |linearDependence| |setMinPoints| |bytes| - |simplifyExp| |factorByRecursion| |reducedDiscriminant| |top!| - |rightUnit| |collectUnder| |setleft!| |getDatabase| |viewZoomDefault| - |init| |constantRight| |quoByVar| |f01qcf| |lazyPseudoDivide| - |squareFreeLexTriangular| |prime| |subscriptedVariables| |singRicDE| - |elementary| |stFunc2| |OMencodingXML| |unitVector| |gcdprim| - |monicCompleteDecompose| |normalize| |LowTriBddDenomInv| |decompose| - |subNode?| |wreath| |coefficients| |parametric?| |nextPartition| - |nthFlag| |groebner?| |algintegrate| |po| |idealiserMatrix| - |generator| |makeop| |f04adf| |fixPredicate| |coerceL| |max| - |finiteBasis| |expandLog| |integral?| |rightCharacteristicPolynomial| - |powmod| |printStatement| |jacobian| |leftRecip| |iicoth| |ScanRoman| - |makeCos| |generateIrredPoly| |writable?| |paren| |cAsec| |asimpson| - |crushedSet| |invertibleSet| |rightTraceMatrix| |makeFloatFunction| - |showTheFTable| |OMputEndBVar| |mathieu11| |search| |lazy?| - |explicitEntries?| |trailingCoefficient| |exprex| |infix| - |rationalIfCan| |stack| |rem| |isExpt| |algebraicCoefficients?| - |permutationGroup| |endSubProgram| |besselY| |realSolve| |part?| - |insertionSort!| |setErrorBound| |ran| |gethi| |s17dlf| |dimension| - |measure2Result| |quo| |numericIfCan| |curve?| |singularitiesOf| - |mirror| |solid?| |sumOfKthPowerDivisors| |condition| |dflist| - |legendreP| |bipolar| |deepestInitial| |lookupFunction| |pquo| - |e02bbf| |sec2cos| |anfactor| |squareFreePolynomial| - |numericalOptimization| |div| |mainForm| |d02bbf| |setValue!| - |elaborateFile| |dn| |heap| |rename| |rightAlternative?| - |goodnessOfFit| |exquo| |ode1| |dim| - |removeRoughlyRedundantFactorsInPol| |point?| |leftTraceMatrix| |nthr| - |cyclotomic| |cosSinInfo| |alternative?| |rischNormalize| |laplace| ~= - |copies| |sts2stst| |edf2fi| |queue| |powers| |toseLastSubResultant| - |middle| |explicitlyFinite?| |taylorRep| |#| |f01qef| |matrix| - |rationalPower| |dec| |assign| |deleteRoutine!| - |useEisensteinCriterion?| |shallowExpand| |pascalTriangle| ~ - |OMreceive| |read!| |high| |fullPartialFraction| |concat| - |computeCycleLength| |coordinate| |nextsousResultant2| |zeroDimPrime?| - |irVar| |LyndonWordsList1| |minimize| |cardinality| |lexGroebner| - |regularRepresentation| |isList| |c05adf| |leadingTerm| |frobenius| - |printInfo| |tubePointsDefault| |maxIndex| |bag| |lfintegrate| - |whileLoop| |clearCache| |purelyAlgebraic?| |compound?| |level| - |baseRDE| |var1Steps| |s15aef| |symmetricTensors| - |exprHasWeightCosWXorSinWX| |triangulate| |swapColumns!| |unit?| - |stosePrepareSubResAlgo| |c06gbf| |coth2trigh| |overlabel| |rotate!| - |enterPointData| |constant?| |cycleElt| |mainDefiningPolynomial| - |solve| |substring?| |plotPolar| |weakBiRank| |OMsupportsSymbol?| - |stripCommentsAndBlanks| |char| |squareFreePrim| |retractable?| - |simpleBounds?| |failed| |factors| |monicRightDivide| - |orthonormalBasis| |zeroSquareMatrix| |bothWays| |bumprow| - |insertRoot!| |polygon?| |pole?| |suffix?| |binomThmExpt| |makeUnit| - |curryRight| |removeRoughlyRedundantFactorsInPols| |lazyResidueClass| - |aQuartic| |updatF| |fi2df| |empty| |s20acf| |recur| |cartesian| - |cAcsch| |Nul| |block| |compile| |nary?| |linearAssociatedOrder| - |OMsetEncoding| |prefix?| |status| |Beta| |minPoints3D| |solve1| - |uniform| |completeHensel| |dominantTerm| |fillPascalTriangle| - |lyndon| |scan| |numberOfFractionalTerms| |multiset| |expt| - |fortranLiteralLine| |stoseInvertible?sqfreg| |parabolicCylindrical| - |eof?| |minIndex| |youngDiagram| |leftQuotient| |second| - |linkToFortran| |subResultantChain| |erf| |elColumn2!| |e01bef| - |fortranLinkerArgs| |float| |divide| |vconcat| |stronglyReduce| - |shape| |acscIfCan| |third| |mesh?| |getMatch| |multiple?| - |firstNumer| |redpps| |basisOfNucleus| |coerceImages| |string?| - |putProperty| |palgextint0| |lfunc| |subSet| |messagePrint| - |acschIfCan| |void| |f04faf| |argscript| |interpretString| |e02gaf| - |primlimintfrac| |tanhIfCan| |dilog| |asechIfCan| - |permutationRepresentation| |float?| |sPol| |f04asf| |ScanArabic| - |infix?| |semiSubResultantGcdEuclidean2| |overlap| |coerceListOfPairs| - |numberOfImproperPartitions| |extractClosed| |sin| |modifyPoint| - |mask| |transcendent?| |indicialEquationAtInfinity| |errorInfo| - |cscIfCan| |cos| |outputAsScript| |infLex?| |closeComponent| - |OMconnectTCP| |pr2dmp| |charpol| |makeFR| |inverse| - |genericLeftTrace| |bringDown| |Ei| |tan| |expr| |multisect| - |reverseLex| |cyclic?| |diagonalProduct| |bipolarCylindrical| - |symbolTableOf| |innerEigenvectors| |mkcomm| |tubeRadiusDefault| - |evaluateInverse| |superHeight| |cot| |quotientByP| |find| |write!| - |moreAlgebraic?| |bumptab| |rootPower| |completeHermite| - |rootNormalize| |sec| |OMgetEndObject| |triangularSystems| GE - |bottom!| |s13acf| |dmpToP| |double| |connect| |basisOfLeftNucleus| - |positiveRemainder| |negative?| |controlPanel| |laguerre| |csc| |log| - GT |infieldIntegrate| |expPot| |elRow1!| |coshIfCan| |cCos| - |removeSinhSq| |variable| |monicModulo| |prem| |iteratedInitials| - |asin| LE |outputAsTex| |const| |OMgetVariable| |kmax| - |basisOfRightNucloid| |setImagSteps| |mapUnivariateIfCan| |deepCopy| - |iterators| BY |purelyAlgebraicLeadingMonomial?| |acos| LT |bracket| - |iiacosh| |constantToUnaryFunction| |minRowIndex| |thenBranch| - |replace| |frst| |fixedDivisor| |rightPower| |atan| |qPot| |hclf| - |strongGenerators| |palginfieldint| |radPoly| |c06eaf| |blankSeparate| - |sylvesterSequence| |rootDirectory| |acot| |outputBinaryFile| |biRank| - |redPo| |monomialIntegrate| |integralMatrix| |leftFactor| - |stoseLastSubResultant| |composite| |lazyVariations| |asec| - |oneDimensionalArray| |raisePolynomial| |characteristic| - |diophantineSystem| |iisinh| |complement| |f02abf| |powern| - |OMconnOutDevice| |acsc| |divisorCascade| |outputArgs| |trueEqual| - |declare!| |setAttributeButtonStep| |complementaryBasis| |mathieu22| - |host| |numberOfMonomials| |setref| |sinh| |OMgetEndAtp| |makeEq| - |augment| |inverseIntegralMatrix| |nonLinearPart| |poisson| - |flexible?| |realEigenvalues| |outputForm| |cosh| |dfRange| - |atanhIfCan| |curryLeft| NOT |ListOfTerms| |inspect| |OMgetEndAttr| - |OMputVariable| |odd?| |vspace| |tanh| |getButtonValue| |s01eaf| - |lists| |d01fcf| OR |colorDef| |escape| |initiallyReduced?| - |UpTriBddDenomInv| |removeCosSq| |zeroSetSplitIntoTriangularSystems| - |coth| |indices| |pushuconst| |d01apf| AND |mainKernel| |repSq| - |cyclotomicFactorization| |readInt32!| |LyndonWordsList| - |compiledFunction| |traceMatrix| |keys| |resultantReduit| |coleman| - |e02bef| |iicsch| |mkAnswer| |univariate?| |depth| |semicolonSeparate| - |child| |addiag| |genericRightDiscriminant| |cothIfCan| |abelianGroup| - |meshPar1Var| |color| |cot2trig| |meatAxe| |clipSurface| |stopTable!| - |OMgetBind| |debug| |segment| |getGraph| |autoReduced?| |writeInt8!| - |spherical| |optpair| |hypergeometric0F1| |d01alf| |surface| D - |harmonic| |OMUnknownSymbol?| |ord| |approxNthRoot| - |createLowComplexityTable| |lfextlimint| |critpOrder| |Vectorise| - |midpoint| |trace2PowMod| |cyclicGroup| |rationalApproximation| - |critMTonD1| |irForm| |reopen!| |expandTrigProducts| - |axesColorDefault| |c06gcf| |resetAttributeButtons| |stirling2| - |cosIfCan| |screenResolution| |compBound| |readInt8!| |palgextint| - |complexExpand| |algebraicDecompose| |rubiksGroup| |htrigs| - |LagrangeInterpolation| |rightRank| |integralCoordinates| |factorset| - |horizConcat| |oddInfiniteProduct| |tanIfCan| |style| - |semiResultantEuclidean1| |mapDown!| |setTex!| |mulmod| |sinh2csch| - |curveColor| |f01mcf| |mat| |selectIntegrationRoutines| - |makeGraphImage| * |integerBound| |imaginary| |gbasis| - |componentUpperBound| |eigenvector| |outputMeasure| |se2rfi| |unparse| - |explimitedint| |octon| |rootOfIrreduciblePoly| |s13aaf| |is?| - |exteriorDifferential| |c06frf| |properties| |forLoop| |optimize| - |d01bbf| |maxrank| |cAcos| |exprToXXP| |limit| |nullSpace| |rroot| - |roughBasicSet| |translate| |hue| |rightGcd| - |initializeGroupForWordProblem| |OMserve| = |compdegd| - |stoseSquareFreePart| |largest| |overbar| |create| |cAcot| |print| - |algebraicSort| |untab| |presuper| |discriminantEuclidean| |bfEntry| - |dimensions| |exportedOperators| |swap!| |resolve| |lagrange| - |minimalPolynomial| |trapezoidal| < |mapSolve| |hMonic| |specialTrigs| - |constantCoefficientRicDE| |indiceSubResultant| |intersect| - |resetBadValues| |cSech| |shufflein| > |subset?| |column| - |jordanAdmissible?| |removeZero| |OMgetApp| - |rewriteSetByReducingWithParticularGenerators| - |halfExtendedSubResultantGcd2| |rightScalarTimes!| |orbits| <= - |henselFact| |df2st| |doubleComplex?| |OMclose| |hostByteOrder| - |readIfCan!| |scaleRoots| |elem?| |sturmSequence| >= |mightHaveRoots| - |logpart| |primextintfrac| |degree| |totolex| |viewpoint| |rdHack1| - |setProperties| |lexTriangular| |operation| - |genericLeftMinimalPolynomial| |arrayStack| |mapGen| - |chainSubResultants| |monicDecomposeIfCan| |deleteProperty!| |reindex| - |leastPower| |lazyGintegrate| |linearlyDependent?| |An| |scopes| - |digits| |interpret| |leftAlternative?| |npcoef| |enqueue!| - |setleaves!| + |vertConcat| |f01qdf| |antiCommutator| |distance| - |true| |bivariateSLPEBR| |algDsolve| |selectsecond| - |linearAssociatedExp| - |cn| |backOldPos| |leastAffineMultiple| - |leftExactQuotient| |groebnerFactorize| |wordInGenerators| - |polynomialZeros| |sizeMultiplication| |mantissa| - |leadingCoefficientRicDE| / |perfectSqrt| |duplicates| |OMputEndBind| - |complexEigenvectors| |scalarMatrix| |halfExtendedResultant2| - |charthRoot| |chiSquare| |basisOfCenter| |maximumExponent| - |determinant| |OMputEndObject| |normalForm| |category| - |antisymmetricTensors| |nil| |postfix| |makeResult| |s18aff| - |complexRoots| |rowEchelonLocal| |integralMatrixAtInfinity| - |toseInvertible?| |domain| |leftFactorIfCan| |initials| |extend| - |goto| |generators| |compactFraction| |package| |relativeApprox| - |factorsOfCyclicGroupSize| |tensorProduct| |transcendentalDecompose| - |setEpilogue!| |subResultantGcd| |shift| |KrullNumber| |argumentList!| - |pointPlot| |nextPrimitivePoly| |decrease| |associative?| - |approximate| |extractBottom!| |readInt16!| |hasPredicate?| |c06gsf| - |rewriteSetWithReduction| |ramifiedAtInfinity?| |enumerate| |complex| - |OMputBVar| |enterInCache| |listConjugateBases| |varList| |merge| - |quasiRegular?| |iisec| |rowEchLocal| |solid| |simpsono| |iiatan| - |prepareDecompose| |show| |e01sef| |diagonal| |mappingAst| |sample| - UP2UTS |property| |badValues| |brillhartIrreducible?| |belong?| - |presub| |att2Result| |associatorDependence| |moduleSum| - |hasTopPredicate?| |closedCurve?| |s18def| |outputSpacing| - |companionBlocks| |secIfCan| |trace| |qinterval| |f04qaf| - |cyclicEqual?| |ip4Address| |cTan| |xn| |sylvesterMatrix| |vark| - |retract| |leader| |unravel| |createIrreduciblePoly| |optAttributes| - |units| |elseBranch| |mapUp!| |associates?| |delta| |roughUnitIdeal?| - |abs| |denomRicDE| |symbolIfCan| |karatsuba| |palgintegrate| - |seriesSolve| |PollardSmallFactor| |wholeRagits| |cfirst| - |multiplyCoefficients| |pushucoef| |possiblyInfinite?| |ef2edf| - |atoms| |expIfCan| |makeSketch| |quasiRegular| |checkRur| - |totalDegree| |qqq| |pointColorPalette| |setStatus| |conjugates| - |graphState| |setelt!| |divergence| |terms| |product| - |radicalOfLeftTraceForm| |typeForm| |flexibleArray| |padicallyExpand| - |interpolate| |functorData| |code| |digamma| |listLoops| |rk4| - |leftUnit| |unitNormal| |sup| |mainContent| |d01amf| - |numberOfDivisors| |prologue| |rewriteIdealWithHeadRemainder| - |formula| |trigs2explogs| |headReduced?| |unknownEndian| |elaboration| - |explogs2trigs| |OMgetEndBind| |epilogue| |s19aaf| - |rightMinimalPolynomial| |lambda| |acothIfCan| |ParCondList| |child?| - |rk4qc| |aromberg| |cCosh| |OMunhandledSymbol| |capacity| |plus| - |countable?| |useSingleFactorBound?| |changeNameToObjf| |monicDivide| - |rightExactQuotient| |algSplitSimple| |pol| |coord| |cycleSplit!| - |cAsinh| |inR?| |numberOfPrimitivePoly| |makeSeries| |exactQuotient!| - |dom| |symmetricGroup| |littleEndian| |coordinates| |inGroundField?| - |varselect| |f04mcf| |nrows| |numberOfVariables| |thetaCoord| |sum| - |aspFilename| |datalist| |factorsOfDegree| |fortranDouble| |cot2tan| - |trunc| |hspace| |removeRedundantFactorsInContents| |ncols| - |divideIfCan| |expintfldpoly| |getGoodPrime| |selectPDERoutines| - |cAsin| |iicsc| |inHallBasis?| |parametersOf| |times| |fprindINFO| - |cAsech| |basisOfRightNucleus| |associatedSystem| |equality| - |distFact| |linGenPos| |computePowers| |symbolTable| |janko2| |linear| - |encodingDirectory| |inconsistent?| |select!| |critT| - |removeRedundantFactors| |top| |mvar| |lazyPremWithDefault| |before?| - |findCycle| |lp| |systemCommand| |leadingIdeal| |pdct| - |createPrimitiveNormalPoly| |stopTableGcd!| |c06ekf| |linearMatrix| - |pushFortranOutputStack| |f01bsf| |setStatus!| |title| |comp| - |viewSizeDefault| |polynomial| |associatedEquations| |swap| - |selectOrPolynomials| |tableForDiscreteLogarithm| |point| |commutator| - |ldf2lst| |reduceBasisAtInfinity| |popFortranOutputStack| |cross| - |inrootof| |monom| |node| |options| |critMonD1| |adaptive| - |singularAtInfinity?| |bsolve| |coHeight| |continue| |sort| |d01ajf| - |newSubProgram| |quatern| |outputAsFortran| |permutation| |normal| - |drawToScale| |cPower| |e02bdf| |PDESolve| |defineProperty| |sign| |e| - |complexSolve| |selectOptimizationRoutines| |leftTrace| |wrregime| - |leftScalarTimes!| |eq?| |c02agf| |dimensionsOf| |clikeUniv| - |qualifier| |idealSimplify| |series| |localIntegralBasis| |list| - |cycle| |tab| |isobaric?| |predicates| |iisqrt3| |common| |s17dhf| - 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|stronglyReduced?| |symmetricGroup| |remove| |multivariate| + |remainder| |componentUpperBound| |showTheRoutinesTable| |writeByte!| + |pquo| |littleEndian| |gderiv| |clipParametric| |fortran| |iisech| + |zerosOf| |outputArgs| |variables| |OMputError| |result| |eigenvector| + |leadingExponent| |commutativeEquality| |e02bbf| |genus| |s19adf| + |open| |addBadValue| |every?| |unprotectedRemoveRedundantFactors| + |coordinates| |last| |trueEqual| |eval| |reset| |outputMeasure| + |deepestTail| |setMaxPoints| |sec2cos| |numberOfCycles| |assoc| + |exponentialOrder| |realRoots| |eigenMatrix| |null| |inGroundField?| + |setAttributeButtonStep| |coercePreimagesImages| |hconcat| |se2rfi| + |anfactor| |palgLODE0| |expandPower| |hexDigit| |primeFactor| + |varselect| |pattern| |not| |univariatePolynomial| + |complementaryBasis| |vectorise| |write| |unparse| |plot| + |squareFreePolynomial| |subCase?| |sqfrFactor| |preprocess| + |environment| |collect| |f04mcf| |and| |unary?| |mathieu22| |save| + |explimitedint| |minset| |numericalOptimization| |separate| + |operations| |redPol| |getCode| |integralRepresents| |outputFloating| + |insertMatch| |or| |numberOfVariables| |host| |taylor| |octon| |trim| + |symmetricProduct| |mainForm| |fortranLiteral| + |conditionsForIdempotents| |nullity| |internalAugment| |thetaCoord| + |SturmHabichtSequence| |xor| |numberOfMonomials| |laurent| + |rootOfIrreduciblePoly| |log2| |cCoth| |d02bbf| + |leftMinimalPolynomial| |infinityNorm| |f01ref| |f07adf| |aspFilename| + |message| |case| |getCurve| |puiseux| |setref| |irCtor| |s13aaf| + |setValue!| |multiplyExponents| |back| |buildSyntax| |factorsOfDegree| + |sqfree| |s17ajf| |Zero| |OMgetEndAtp| |nodeOf?| |polarCoordinates| + |conical| |is?| |elaborateFile| |hi| |nextSublist| |rightExtendedGcd| + |fortranDouble| |makeEq| |One| |B1solve| |inv| |exponential1| + |exteriorDifferential| |polyRDE| |dn| |createGenericMatrix| |mdeg| + |f02ajf| |positiveSolve| |iiexp| |interval| |cot2tan| |ground?| + |augment| |c06frf| |solveLinearlyOverQ| |exprToUPS| |heap| + |antiAssociative?| |ldf2vmf| |quartic| |inverseIntegralMatrix| + |ground| |nthRoot| |trunc| |lcm| |OMbindTCP| |lexico| |forLoop| + |submod| |lazyEvaluate| |rename| |youngGroup| |tan2cot| |prime?| + |nonLinearPart| |testDim| |hspace| |leadingMonomial| |complexForm| + |contains?| |rightAlternative?| |zeroDimensional?| |primlimitedint| + |hostPlatform| |setOrder| |cExp| |append| |leadingCoefficient| + |removeRedundantFactorsInContents| |OMreadFile| |poisson| + |OMputVariable| |branchIfCan| |factorAndSplit| |goodnessOfFit| + |univariateSolve| |extendedEuclidean| |normInvertible?| |flexible?| + |f07aef| |primitiveMonomials| |gcd| |divideIfCan| |elt| |output| + |measure| |iiperm| |odd?| |cyclic| |createNormalElement| |ode1| + |OMgetInteger| |paraboloidal| |quadraticNorm| |expintfldpoly| + |realEigenvalues| |false| |OMgetEndError| |reductum| |latex| |vspace| + |numerator| |removeRoughlyRedundantFactorsInPol| |currentScope| + |monic?| |virtualDegree| |relationsIdeal| |validExponential| + |outputForm| |getButtonValue| |leftOne| |isAbsolutelyIrreducible?| + |point?| |outputFixed| |musserTrials| |returnTypeOf| |ptFunc| + |closedCurve?| |dfRange| |mapBivariate| |s01eaf| |ridHack1| + |leftTraceMatrix| |setlast!| |unitCanonical| |fglmIfCan| |pushdterm| + |s18def| |imagj| |OMputAttr| |atanhIfCan| |d01fcf| |laurentRep| + |iiasec| |nthr| |conjugate| |f02bjf| |s18acf| |basisOfCentroid| + |outputSpacing| |rightRegularRepresentation| |curryLeft| |adjoint| + |colorDef| |monicRightFactorIfCan| |branchPoint?| |mapmult| + |generalizedContinuumHypothesisAssumed?| |companionBlocks| |exponent| + |ListOfTerms| |escape| |bombieriNorm| |top!| |polygamma| + |squareFreePart| |getIdentifier| |beauzamyBound| |quickSort| + |secIfCan| |inspect| |categories| |numberOfComponents| |rk4a| + |initiallyReduced?| |iiacoth| |rightUnit| |leftPower| + |numericalIntegration| |denominator| |qinterval| + |indiceSubResultantEuclidean| |OMgetEndAttr| |changeMeasure| + |primitive?| |UpTriBddDenomInv| |collectUnder| |startTableGcd!| + |myDegree| |symbol?| |overset?| |UP2ifCan| |f04qaf| |bounds| + |removeCosSq| |setleft!| |yCoord| |constDsolve| |ratDenom| |extension| + |evaluate| |cyclicEqual?| |innerSolve1| |inverse| |multMonom| + |zeroSetSplitIntoTriangularSystems| |getDatabase| |viewPhiDefault| + |zeroOf| |antiCommutative?| |palgRDE| |ip4Address| |generalLambert| + |number?| |genericLeftTrace| |indices| |generalInfiniteProduct| + |droot| |viewZoomDefault| |plusInfinity| |critM| |uncouplingMatrices| + |ref| |cTan| |solveLinearPolynomialEquationByRecursion| |bringDown| + |factorSquareFreeByRecursion| |pushuconst| |internalDecompose| + |reduction| |constantRight| |minusInfinity| |deepExpand| |imagK| |xn| + |monomRDE| |Ei| |dihedralGroup| |d01apf| |prepareSubResAlgo| + |invertible?| |quoByVar| |nextPrimitiveNormalPoly| |byteBuffer| + |c02aff| |sylvesterMatrix| |typeLists| |multisect| |crest| + |mainKernel| |quasiMonic?| |f01qcf| |irreducibleFactors| |makeSin| + |curveColorPalette| |index?| |d02gbf| |vark| |key| |leftNorm| + |reverseLex| |repSq| |pointColorDefault| |univcase| |lazyPseudoDivide| + |minPoly| |s19acf| |tValues| |unravel| |low| |createRandomElement| + |cyclic?| |cyclotomicFactorization| |setfirst!| + |fortranCarriageReturn| |squareFreeLexTriangular| |isOp| + |createIrreduciblePoly| |OMcloseConn| |filename| |groebner| + |diagonalProduct| |trigs| |functionIsContinuousAtEndPoints| + |readInt32!| |updatD| |prime| |type| |acoshIfCan| |binaryTournament| + |optAttributes| |resize| |bipolarCylindrical| |setMinPoints3D| + |LyndonWordsList| |s17adf| |subscriptedVariables| |d02ejf| + |knownInfBasis| |mapCoef| |elseBranch| |romberg| |parse| |partition| + |symbolTableOf| |clipBoolean| |compiledFunction| |singRicDE| |besselI| + |taylorIfCan| |mapUp!| |listRepresentation| |next| |indicialEquations| + |innerEigenvectors| |just| |traceMatrix| |duplicates?| |elementary| + |setPredicates| |s17def| |airyBi| |associates?| |trapezoidalo| + |mkcomm| |tubeRadius| |createMultiplicationTable| |resultantReduit| + |e01baf| |stFunc2| |nilFactor| |edf2df| |roughUnitIdeal?| |resetNew| + |genericPosition| |tubeRadiusDefault| |normalizeIfCan| |atrapezoidal| + |coleman| |checkPrecision| |OMencodingXML| |nlde| |Aleph| |froot| + |abs| |evaluateInverse| |bat| |mergeFactors| |e02bef| |splitNodeOf!| + EQ |unitVector| |noKaratsuba| |makeYoungTableau| |denomRicDE| + |rightFactorIfCan| |d02bhf| |superHeight| |iicsch| |coth2tanh| + |gcdprim| |collectQuasiMonic| |tracePowMod| |symbolIfCan| + |normalDenom| |whatInfinity| |lhs| |quotientByP| |fractionPart| + |mkAnswer| |coefficient| |e02ahf| |monicCompleteDecompose| |integer?| + |e01bff| |doubleFloatFormat| |rhs| |karatsuba| |find| + |changeWeightLevel| |bandedJacobian| |e02agf| |univariate?| + |normalize| |selectSumOfSquaresRoutines| |internalZeroSetSplit| + |antisymmetric?| |btwFact| |palgintegrate| |write!| |s17dcf| |f02axf| + |semicolonSeparate| |wordInStrongGenerators| |badNum| + |LowTriBddDenomInv| |jacobiIdentity?| |errorKind| |seriesSolve| + |d01gbf| |moreAlgebraic?| |oddlambert| |numberOfOperations| |child| + |split| |decompose| |rule| |algebraicVariables| |leadingIndex| + |PollardSmallFactor| |rewriteIdealWithRemainder| |hexDigit?| |bumptab| + |internalSubPolSet?| |addiag| |semiDiscriminantEuclidean| |subNode?| + |csch2sinh| |index| |signatureAst| |removeIrreducibleRedundantFactors| + |wholeRagits| |rootPower| |lflimitedint| |genericRightDiscriminant| + |green| |wreath| |rquo| |extendIfCan| |pop!| |subspace| |cfirst| + |rootOf| |completeHermite| |cothIfCan| |null?| |OMputObject| + |coefficients| |generalPosition| |csc2sin| |center| + |leftCharacteristicPolynomial| |multiplyCoefficients| |rootNormalize| + |rightOne| |torsionIfCan| |abelianGroup| |parametric?| + |supDimElseRittWu?| |e01daf| |pushucoef| |d03faf| |restorePrecision| + |pair| |OMgetEndObject| |zoom| |basisOfLeftNucloid| |meshPar1Var| + |region| |nextPartition| |value| |powerAssociative?| + |stiffnessAndStabilityOfODEIF| |hermite| |possiblyInfinite?| + |sparsityIF| |triangularSystems| |normalizeAtInfinity| |color| + |partialQuotients| |nthFlag| |makeVariable| |readByte!| |ef2edf| + |s19abf| |bottom!| |e02baf| |f02agf| |cot2trig| |groebner?| |lifting| + |upperCase!| |patternMatch| |atoms| |geometric| |separateFactors| + |s13acf| |meatAxe| |atom?| |algintegrate| |simplifyLog| |newLine| + |entry| |factorPolynomial| |elliptic| |expIfCan| |quote| |dmpToP| + |polygon| |clipSurface| |zeroDim?| |po| |palgRDE0| + |selectFiniteRoutines| |makeSketch| |f01rcf| |leftRemainder| |connect| + |s21baf| |stopTable!| |idealiserMatrix| |resultantReduitEuclidean| + |normalDeriv| |addMatchRestricted| |computeInt| |quasiRegular| + |basisOfLeftNucleus| |sortConstraints| |OMgetBind| |algebraicOf| + |nextIrreduciblePoly| |makeop| |f02awf| |drawComplexVectorField| + |checkRur| |maxrow| |positiveRemainder| |s17aef| |unitNormalize| + |reverse| |getGraph| |d02raf| |f04adf| |e02akf| |iiacsc| + |reducedSystem| |totalDegree| |totalfract| |negative?| FG2F + |autoReduced?| |solveLinearPolynomialEquation| |fixPredicate| + |exponential| |totalDifferential| |rightNorm| |call| |qqq| + |toseSquareFreePart| |controlPanel| |lfinfieldint| |writeInt8!| + |coerceL| |minrank| |in?| |leaves| |nthExpon| |tree| + |pointColorPalette| |modularGcd| |laguerre| |startTableInvSet!| + |spherical| |highCommonTerms| |primaryDecomp| |max| |push| + |exprToGenUPS| |setStatus| |upperCase| |infieldIntegrate| + |getExplanations| |imagi| |optpair| |finiteBasis| |putGraph| |df2ef| + |simplifyPower| |e01bgf| |conjugates| |expPot| |removeConstantTerm| + |hypergeometric0F1| |supersub| |d01gaf| |expandLog| |freeOf?| + |euclideanGroebner| |symmetricDifference| |graphState| |init| + |elRow1!| |typeList| |d01alf| |rarrow| |integral?| |viewDeltaYDefault| + |unaryFunction| |startTable!| |cylindrical| |setelt!| |bfKeys| + |coshIfCan| |opeval| |surface| |rightCharacteristicPolynomial| + |viewWriteDefault| |principal?| |symFunc| |iiasech| |divergence| + |cCos| |pToHdmp| |harmonic| |shade| |powmod| |extendedint| |light| + |generator| |viewDefaults| |karatsubaOnce| |terms| |removeSinhSq| + |points| |lowerPolynomial| |OMUnknownSymbol?| |printStatement| + |FormatRoman| |sayLength| |moduloP| |imagI| |product| |e04naf| + |monicModulo| |ord| |setScreenResolution| |jacobian| |tube| |satisfy?| + |sncndn| |radicalOfLeftTraceForm| |minPoints| |prem| |leastMonomial| + |prindINFO| |approxNthRoot| |search| |swapRows!| |leftRecip| |e02def| + |flexibleArray| |reduceByQuasiMonic| |setScreenResolution3D| + |iteratedInitials| |stack| |recolor| |createLowComplexityTable| + |quoted?| |iicoth| |rem| |setFormula!| |mesh| |padicallyExpand| + |printStats!| |bitCoef| |outputAsTex| |primeFrobenius| |lfextlimint| + |structuralConstants| |ScanRoman| |quo| |anticoord| + |nativeModuleExtension| |interpolate| |less?| |LyndonBasis| |const| + |condition| |critpOrder| |repeating| |makeCos| |leftExtendedGcd| + |generalizedContinuumHypothesisAssumed| |adaptive3D?| |functorData| + |factor1| |bandedHessian| |OMgetVariable| |generateIrredPoly| |div| + |listBranches| |plenaryPower| |semiDegreeSubResultantEuclidean| + |internalInfRittWu?| |digamma| |createPrimitiveElement| |kmax| + |showClipRegion| |setRow!| |writable?| |exquo| |dim| |drawCurves| + |complexElementary| |mapExpon| |listLoops| |basisOfRightNucloid| + |symmetricRemainder| |numerators| |heapSort| ~= |paren| + |monomialIntPoly| |toseInvertibleSet| |rk4| |primitivePart!| + |setImagSteps| |closed?| |clip| |leftRankPolynomial| |cAsec| |#| + |simpson| |matrix| |tanh2coth| |mapUnivariateIfCan| |dec| |sh| + |OMgetAttr| ~ |asimpson| |resetVariableOrder| + |semiLastSubResultantEuclidean| |postfix| |linearlyDependentOverZ?| + |isAtom| |concat| |degreeSubResultant| |deepCopy| |fibonacci| + |OMgetString| |crushedSet| |leadingSupport| |setPrologue!| + |getZechTable| |makeResult| |purelyAlgebraicLeadingMonomial?| + |resultant| |cschIfCan| |rowEchelon| |invertibleSet| |genericLeftNorm| + |printInfo| |getMultiplicationTable| |s18aff| |complexNumericIfCan| + |constantOperator| |clearCache| |bracket| |linSolve| |level| + |routines| |numberOfIrreduciblePoly| |bezoutMatrix| |complexRoots| + |iiacosh| |factorSquareFreePolynomial| |reduced?| |decimal| + |categoryFrame| |pomopo!| |hasSolution?| |rowEchelonLocal| + |radicalSolve| |constantToUnaryFunction| |stoseInvertibleSet| + |dictionary| |cSec| |removeDuplicates!| |substring?| |leaf?| + |transcendenceDegree| |integralMatrixAtInfinity| |internal?| |char| + |sort!| |minRowIndex| |failed| |alternatingGroup| |mappingMode| + |recoverAfterFail| |fractRadix| |elliptic?| |toseInvertible?| + |evenlambert| |var2Steps| |semiResultantReduitEuclidean| |oddintegers| + |suffix?| |normal01| |arbitrary| |copyInto!| |leftFactorIfCan| |eof?| + |OMencodingSGML| |isPlus| |kroneckerDelta| |baseRDEsys| |orbit| + |insertBottom!| |wronskianMatrix| |initials| |parabolicCylindrical| + |rightLcm| |compile| |leadingBasisTerm| |module| |intPatternMatch| + |prefix?| |status| |startStats!| |failed?| |bezoutResultant| |extend| + |readUInt32!| |minIndex| |comparison| |basisOfRightAnnihilator| + |getStream| |notelem| |goto| |numberOfNormalPoly| |leftQuotient| + |primPartElseUnitCanonical| |interactiveEnv| |OMputEndApp| |phiCoord| + |calcRanges| |second| |linkToFortran| |leftGcd| |character?| + |generators| |algint| |erf| |float| |OMUnknownCD?| |alphanumeric| + |unvectorise| |factorGroebnerBasis| |third| |addMatch| + |clipPointsDefault| |compactFraction| |cAcoth| |subResultantChain| + |csubst| |divisor| |showTheSymbolTable| |d01anf| |mainCoefficients| + |sturmVariationsOf| |relativeApprox| |elColumn2!| |OMputBind| |void| + |doublyTransitive?| |multinomial| |approximants| |pureLex| |modTree| + |safeCeiling| |factorsOfCyclicGroupSize| |dilog| |e01bef| |s18dcf| + |perfectNthRoot| |remove!| |createThreeSpace| |infix?| |s17dgf| + |leftZero| |dual| |fortranLinkerArgs| |tensorProduct| |sin| |qroot| + |mask| |solveLinearPolynomialEquationByFractions| |laplacian| + |stoseIntegralLastSubResultant| |localUnquote| |e02bcf| + |showTheIFTable| |cos| |transcendentalDecompose| |vconcat| |xCoord| + |OMputInteger| |mainVariable?| |superscript| |degreePartition| |tan| + |numberOfComposites| |nextsubResultant2| |setEpilogue!| |expr| + |divide| |radicalRoots| |iiGamma| |rightRankPolynomial| + |generalizedInverse| |nthRootIfCan| |createLowComplexityNormalBasis| + |Si| |OMgetEndApp| |subResultantGcd| |cot| |stronglyReduce| + |OMParseError?| |OMread| |decomposeFunc| |viewport3D| |f02akf| |sec| + |subPolSet?| |KrullNumber| |acscIfCan| |lowerCase| GE |iitanh| + |polyPart| |double| |symmetric?| |fortranInteger| |getRef| + |cyclicEntries| |mesh?| |graphCurves| |argumentList!| |csc| |log| GT + |domainTemplate| |quadratic?| |normalized?| |lowerBound| |iicosh| + |selectODEIVPRoutines| |variable| |clearTheIFTable| |pointPlot| + |getMatch| |asin| LE |removeCoshSq| |mapUnivariate| |shiftLeft| + |selectAndPolynomials| |nextPrimitivePoly| |hermiteH| |cyclicCopy| + |iterators| BY |deriv| |multiple?| |acos| LT |f04atf| + |processTemplate| |primes| |externalList| |decrease| + |purelyTranscendental?| |tubePlot| |diag| |firstNumer| |atan| + |subNodeOf?| |shrinkable| |matrixDimensions| |cyclePartition| + |associative?| |viewWriteAvailable| |basis| |matrixConcat3D| |redpps| + |acot| |idealiser| |rightRecip| |s21bbf| |hcrf| + |basisOfCommutingElements| |basisOfNucleus| |extractBottom!| + |countRealRoots| |mergeDifference| |asec| |OMgetFloat| + |rationalPoint?| |iomode| |getOperator| |readInt16!| |debug3D| + |extendedIntegrate| |endOfFile?| |coerceImages| |acsc| |upperCase?| + |mkPrim| |meshPar2Var| |declare!| |neglist| |changeName| |OMreadStr| + |twist| |hasPredicate?| |string?| |sinh| |fintegrate| |alphanumeric?| + |genericRightTraceForm| |collectUpper| |putProperty| |parent| |c06gsf| + |rightDivide| |divisors| |cosh| |edf2ef| |lookup| NOT |insert!| |one?| + |BasicMethod| |numFunEvals3D| |linears| |rewriteSetWithReduction| + |palgextint0| |tanh| |charClass| |OMputAtp| |lists| + |LyndonCoordinates| OR |prolateSpheroidal| |principalAncestors| + |ramifiedAtInfinity?| |lfunc| |initTable!| |withPredicates| |coth| + |divideIfCan!| |expintegrate| |setAdaptive| AND |toScale| |midpoints| + |alternating| |enumerate| |ignore?| |subSet| |someBasis| |doubleDisc| + |e04ucf| |keys| GF2FG |setRealSteps| |complex?| |OMputBVar| |depth| + |messagePrint| |padecf| |absolutelyIrreducible?| + |basisOfMiddleNucleus| |screenResolution3D| |contours| |row| + |rootPoly| |enterInCache| |acschIfCan| |radicalEigenvalues| |f02aaf| + |ode| |debug| |lllip| |segment| |dequeue| |OMopenString| + |listConjugateBases| |imports| |safetyMargin| |f04faf| + |clearFortranOutputStack| D |sin2csc| |makeViewport2D| + |fractionFreeGauss!| |slex| |adaptive?| |merge| + |getSyntaxFormsFromFile| |argscript| |isImplies| |innerSolve| + |mathieu24| |clearTable!| |rombergo| |weight| |quasiRegular?| + |splitSquarefree| |interpretString| |hasHi| |primitiveElement| |open?| + |removeSinSq| |hessian| |iisec| |cCot| |setButtonValue| |e02gaf| + |d01aqf| |squareTop| |f01rdf| |exprHasLogarithmicWeights| |elements| + |rowEchLocal| |nodes| |primlimintfrac| |s18adf| + |univariatePolynomials| |rootRadius| |sequences| |rightDiscriminant| + |functionIsOscillatory| |solid| |subTriSet?| |tanhIfCan| |airyAi| + |leftRank| |permutations| |distribute| * |eisensteinIrreducible?| + |resultantnaif| |toroidal| |simpsono| |makeCrit| |asechIfCan| + |nthFractionalTerm| |modularGcdPrimitive| |countRealRootsMultiple| + |hitherPlane| |insertTop!| |iiatan| |OMgetAtp| |isNot| + |permutationRepresentation| |properties| |optimize| |hdmpToDmp| + |voidMode| |nil?| |lowerCase?| |yCoordinates| |f02aef| + |prepareDecompose| |iisin| |float?| |translate| |pmintegrate| |critB| + |physicalLength| |binarySearchTree| = |integralBasisAtInfinity| + |e01sef| |characteristicPolynomial| |rightTrace| |sPol| + |subResultantGcdEuclidean| |print| |sequence| |HermiteIntegrate| + |e02adf| |nextColeman| |diagonal| |BumInSepFFE| |iicos| |f04asf| + |resolve| |getPickedPoints| |iCompose| |OMgetObject| |iFTable| < + RF2UTS |rootsOf| |mappingAst| |noLinearFactor?| |ScanArabic| + |mainSquareFreePart| |oblateSpheroidal| |pack!| > |bivariate?| + |rightQuotient| |getMultiplicationMatrix| |sample| + |semiSubResultantGcdEuclidean2| |cycleLength| |indicialEquation| + |primPartElseUnitCanonical!| |pushNewContour| |OMgetError| <= + |stFunc1| |twoFactor| UP2UTS |overlap| |polyRicDE| |modifyPointData| + |leftRegularRepresentation| |fortranComplex| >= |bernoulli| |power!| + |badValues| |stoseInvertible?| |coerceListOfPairs| + |internalLastSubResultant| |c05pbf| |primintfldpoly| |transform| + |operation| |monicLeftDivide| |brillhartIrreducible?| |intensity| + |d01asf| |numberOfImproperPartitions| |s17ahf| + |irreducibleRepresentation| |f04arf| |viewThetaDefault| |df2fi| + |belong?| |extractClosed| |algebraic?| |interpret| |reducedForm| + |denomLODE| |atanIfCan| |randnum| + |f04maf| |f04mbf| |presub| + |modifyPoint| |true| |inverseIntegralMatrixAtInfinity| |exponents| + |sumOfDivisors| |cCsch| - |cn| |partitions| |att2Result| + |attributeData| |rightFactorCandidate| |transcendent?| + |taylorQuoByVar| |mantissa| |s17aff| |upDateBranches| / |SFunction| + |associatorDependence| |components| |tubePoints| + |indicialEquationAtInfinity| |extractTop!| |linearDependence| + |writeLine!| |intermediateResultsIF| |moduleSum| |plus!| + |setsubMatrix!| |errorInfo| |category| |constantLeft| |nil| |s14baf| + |setMinPoints| |readable?| |times!| |hasTopPredicate?| |rightMult| + |cscIfCan| |domain| |RittWuCompare| |setnext!| |bytes| + |areEquivalent?| |iidsum| |outputAsScript| |package| |fmecg| + |normalizedAssociate| |simplifyExp| |denominators| |outputGeneral| + |mightHaveRoots| |shift| |isOr| |infLex?| |e04ycf| + |evenInfiniteProduct| |factorByRecursion| |push!| |approximate| + |semiResultantEuclidean2| |logpart| |integrate| |createNormalPoly| + |closeComponent| |isTimes| |rootKerSimp| |complex| + |reducedDiscriminant| |extractIndex| |external?| |varList| + |primextintfrac| |OMgetEndBVar| |critBonD| |OMconnectTCP| + |OMputString| |difference| |fortranTypeOf| |show| |degree| |OMgetType| + |pr2dmp| |operators| |logical?| |sign| |property| |parabolic| + |callForm?| |totolex| |mainVariables| |charpol| |squareFree| + |semiIndiceSubResultantEuclidean| |complexSolve| |bubbleSort!| + |setFieldInfo| |palgLODE| |trace| |viewpoint| |unitsColorDefault| + |ocf2ocdf| |makeFR| |gensym| |dimensionOfIrreducibleRepresentation| + |selectOptimizationRoutines| |cTanh| |retract| |rdHack1| |bumptab1| + |leader| |leftTrace| |list?| |UnVectorise| |units| |coefChoose| + |setProperties| |normalizedDivide| |delta| |cAcosh| |coth2trigh| + |tanintegrate| |represents| |wrregime| |fortranCharacter| + |lexTriangular| |ricDsolve| |constantOpIfCan| |overlabel| |laguerreL| + |leftScalarTimes!| |diagonalMatrix| |increment| |multiEuclideanTree| + |genericLeftMinimalPolynomial| |readBytes!| |rotate!| + |var1StepsDefault| |eq?| |cAtan| |arrayStack| |printHeader| + |enterPointData| |stFuncN| |OMputFloat| |c02agf| |graphStates| |reify| + |typeForm| |nextNormalPoly| |mapGen| |ODESolve| |constant?| |code| + |perfectNthPower?| |factorOfDegree| |dimensionsOf| |maxPoints| + |chainSubResultants| |inverseColeman| |cycleElt| |create3Space| + |safeFloor| |roughBase?| |clikeUniv| |exp1| |formula| |slash| + |monicDecomposeIfCan| |complexLimit| |mainDefiningPolynomial| |cAtanh| + |f04jgf| |qualifier| |zeroMatrix| |deleteProperty!| |lambda| + |returnType!| |solve| |pseudoQuotient| |realZeros| |expint| |rdregime| + |idealSimplify| |useNagFunctions| |plus| |reindex| |iipow| |plotPolar| + |cubic| |iterationVar| |mathieu23| |separateDegrees| + |localIntegralBasis| |numberOfComputedEntries| |applyRules| + |leastPower| |weakBiRank| |digit| |standardBasisOfCyclicSubmodule| + |dom| |localAbs| |cycle| |possiblyNewVariety?| |startPolynomial| + |socf2socdf| |c06ebf| |nrows| |lazyGintegrate| |OMsupportsSymbol?| + |sum| |uniform01| |datalist| |unrankImproperPartitions1| |powerSum| + |tab| |reflect| |listYoungTableaus| |linearlyDependent?| |ncols| + |extendedSubResultantGcd| |useSingleFactorBound| + |stripCommentsAndBlanks| |argument| |bitTruth| |isobaric?| |transpose| + |cosh2sech| |times| |An| |karatsubaDivide| |iifact| |squareFreePrim| + |exptMod| |nor| |c05nbf| |predicates| |symbolTable| |root?| |linear| + |stirling1| |scopes| |ffactor| |retractable?| |iiasin| |top| + |component| |iisqrt3| |useEisensteinCriterion| |extensionDegree| |lp| + |systemCommand| |prinb| |digits| |simpleBounds?| |e02dcf| + |triangSolve| |pushFortranOutputStack| |s17dhf| + |integralLastSubResultant| |replaceKthElement| |title| |comp| + |OMlistCDs| |polynomial| |derivative| |leftAlternative?| |normFactors| + |factors| |point| |central?| |popFortranOutputStack| + |mainPrimitivePart| |zCoord| |medialSet| |s15adf| |monom| |node| + |options| |npcoef| |node?| |createZechTable| |monicRightDivide| |zag| + |continue| |sort| |binding| |cyclotomicDecomposition| |imagJ| + |outputAsFortran| |identification| |normal| |iidprod| |f01brf| + |enqueue!| |palgint| |orthonormalBasis| |irreducibleFactor| + |setPosition| |e| |removeSuperfluousQuasiComponents| |iiacsch| + |roughSubIdeal?| |stoseInvertible?reg| |setleaves!| + |computeCycleEntry| |accuracyIF| |zeroSquareMatrix| + |mainCharacterization| |nsqfree| |series| + |tryFunctionalDecomposition?| |list| |dihedral| |dAndcExp| |hasoln| + |check| |normal?| |common| |vertConcat| |string| |round| + |clearDenominator| |vedf2vef| |bothWays| |aQuadratic| |flagFactor| + |car| |binomial| |s18aef| |perspective| |generic| |f01qdf| |asinIfCan| + |commutative?| |bumprow| |realEigenvectors| |halfExtendedResultant1| + |random| |cdr| |d03eef| |key?| |scripted?| |f07fdf| |antiCommutator| + |traverse| |insertRoot!| |diagonals| |norm| |setDifference| + |acotIfCan| |e02zaf| |cycles| |stopMusserTrials| |multiEuclidean| + |internalIntegrate| |distance| |min| |polygon?| |readUInt8!| + |setIntersection| |rspace| |convergents| |invmod| |lepol| |members| + |bivariateSLPEBR| |sizeLess?| |pole?| |fixedPoints| |setUnion| + |extractProperty| |drawComplex| |positive?| |sech2cosh| |groebgen| + |algDsolve| |binomThmExpt| |groebSolve| |lfextendedint| |sumOfSquares| + |apply| |has?| |infieldint| |whitePoint| |intcompBasis| |selectsecond| + |weighted| |makeUnit| |member?| |upperBound| |dmp2rfi| |setCondition!| + |close!| |contractSolve| |discreteLog| |zero| |linearAssociatedExp| + |lazyPseudoRemainder| |bitLength| |curryRight| |polar| |size| + |elaborate| |lintgcd| |pastel| |getOrder| |backOldPos| + |stoseInvertibleSetsqfreg| |width| + |removeRoughlyRedundantFactorsInPols| |squareMatrix| |lieAdmissible?| + |ramified?| |inverseLaplace| |iExquo| |prefixRagits| |And| + |integralDerivationMatrix| |leastAffineMultiple| |subMatrix| + |lazyResidueClass| |equation| |genericLeftTraceForm| |firstSubsetGray| + |totalLex| |setAdaptive3D| |vector| |derivationCoordinates| |Or| + |dualSignature| |leftExactQuotient| |getBadValues| |aQuartic| + |removeSuperfluousCases| |first| |graeffe| |graphImage| + |differentiate| |youngDiagram| |omError| |Not| |groebnerFactorize| + |sinIfCan| |noncommutativeJordanAlgebra?| |updatF| |d03edf| |rest| + |llprop| |lazyPquo| |particularSolution| |parents| |saturate| + |numeric| |iicot| |wordInGenerators| |fi2df| |lllp| |sorted?| + |substitute| |lieAlgebra?| |fullDisplay| |mainMonomials| |tanNa| + |radical| |polynomialZeros| |leftDiscriminant| |fill!| |hash| |empty| + |s21bcf| |removeDuplicates| |minPol| |exists?| |quadraticForm| + |zeroVector| |sizeMultiplication| |count| |makeprod| |e04jaf| |s20acf| + |even?| |separant| |nonSingularModel| |mr| |pushdown| + |radicalEigenvector| |recur| |leadingCoefficientRicDE| |super| |real?| + |name| |optional| |boundOfCauchy| |nextPrime| |credPol| |red| + |setOfMinN| |clipWithRanges| |perfectSquare?| |cartesian| + |decreasePrecision| |perfectSqrt| |lift| |body| |numFunEvals| + |exactQuotient| |createNormalPrimitivePoly| |modularFactor| |pile| + |SturmHabichtMultiple| |inc| |c06ecf| |cAcsch| |duplicates| + |usingTable?| |reduce| |LazardQuotient2| |move| |parts| |showRegion| + |torsion?| |lighting| |rightRemainder| |eulerE| |OMputEndBind| |Nul| + |isEquiv| |getlo| |constantIfCan| |position!| |linearPolynomials| + |trivialIdeal?| |complexEigenvectors| |OMopenFile| |block| |logIfCan| + |closedCurve| |approxSqrt| |prevPrime| |sincos| |mindegTerm| |c06gqf| + |scalarMatrix| |nary?| |ode2| |probablyZeroDim?| |cLog| |ddFact| + |gcdPolynomial| |doubleRank| |s13adf| |ranges| + |halfExtendedResultant2| |linearAssociatedOrder| |axes| + |subQuasiComponent?| |commaSeparate| |maxColIndex| SEGMENT |shape| + |error| LODO2FUN |kovacic| |generalSqFr| |charthRoot| |port| + |OMsetEncoding| |blue| |setright!| |headRemainder| |fractRagits| + |factorials| |binary| |cSinh| |assert| |tower| |ParCond| |chiSquare| + |identity| |Beta| |continuedFraction| |identitySquareMatrix| |fTable| + |delay| |sumSquares| |basisOfCenter| |equiv| |t| |minPoints3D| + |var2StepsDefault| |inRadical?| |getOperands| + |selectNonFiniteRoutines| |makingStats?| |stiffnessAndStabilityFactor| + |genericRightTrace| |maximumExponent| |solve1| |fixedPoint| + |pmComplexintegrate| |loadNativeModule| |univariatePolynomialsGcds| + |nextNormalPrimitivePoly| |f02aff| |systemSizeIF| |definingPolynomial| + |determinant| |variationOfParameters| |uniform| |SturmHabicht| + |bivariatePolynomials| |RemainderList| |appendPoint| + |complexEigenvalues| |OMputEndObject| |bezoutDiscriminant| + |completeHensel| |numberOfHues| |innerint| |constant| |nand| + |SturmHabichtCoefficients| |moebiusMu| |complexNumeric| |content| + |normalForm| |increase| |dominantTerm| |pointLists| |associator| + |topPredicate| |disjunction| |byte| |predicate| |chineseRemainder| + |antisymmetricTensors| |fillPascalTriangle| |pointData| + |primextendedint| |maxint| |factorFraction| |lSpaceBasis| |kernels| + |lyndon| |rur| |dequeue!| |pade| |wholePart| |nextSubsetGray| |d01bbf| + |operator| |cons| |argumentListOf| |logGamma| |scan| |s17acf| + |skewSFunction| |ksec| |LiePolyIfCan| |subtractIfCan| |maxrank| + |gradient| |shuffle| |numberOfFractionalTerms| |step| + |topFortranOutputStack| |distdfact| |e01sbf| + |genericRightMinimalPolynomial| |univariate| |cAcos| + |changeThreshhold| |finite?| |balancedBinaryTree| |multiset| + |extractPoint| |comment| |linear?| |exprToXXP| |arity| + |identityMatrix| |expt| |lex| |getGoodPrime| |subscript| + |mainMonomial| |limit| |shallowCopy| |rotatey| |fortranLiteralLine| + |getConstant| |selectPDERoutines| |viewport2D| |coerce| |lyndon?| + |factor| |setLabelValue| |nullSpace| |schema| |pair?| + |stoseInvertible?sqfreg| |int| |dioSolve| |setEmpty!| |cAsin| + |construct| |cyclicParents| |sqrt| |rroot| |source| |eyeDistance| + |setvalue!| |iicsc| |sdf2lst| |qelt| |tan2trig| |parameters| |real| + |roughBasicSet| |readLine!| |pleskenSplit| |cyclotomic| + |stopTableInvSet!| |inHallBasis?| |entry?| |qsetelt| |leftMult| |imag| + |copy!| |hue| |gcdcofactprim| |cosSinInfo| |factorSFBRlcUnit| + |lazyPrem| |parametersOf| |xRange| |direction| |directProduct| + |rightGcd| |power| |alternative?| |OMencodingUnknown| + |splitDenominator| |fprindINFO| |showAll?| |isConnected?| + |initializeGroupForWordProblem| |rischNormalize| |expressIdealMember| + |qfactor| |finiteBound| |cAsech| |discriminant| |rationalPoints| + |brace| |OMconnInDevice| |OMserve| |target| |ptree| |element?| + |laplace| |showArrayValues| |e02aef| |basisOfRightNucleus| + |constantKernel| |readUInt16!| |normalElement| |destruct| |compdegd| + |permanent| |copies| |pdf2df| |numberOfChildren| |associatedSystem| + |completeEchelonBasis| |rightZero| |implies| |stoseSquareFreePart| + |square?| |universe| |sts2stst| |kind| |OMputApp| |equality| + |firstUncouplingMatrix| |problemPoints| |printCode| |largest| |edf2fi| + |fortranCompilerName| |putColorInfo| |op| |bat1| |distFact| |merge!| + |signAround| |overbar| |internalSubQuasiComponent?| + |createPrimitivePoly| |queue| |changeVar| |pdf2ef| |linGenPos| + |leftLcm| |imagk| |ravel| |monomial| |iprint| |create| |leftDivide| + |powers| |d01akf| |selectfirst| |computePowers| |generalTwoFactor| + |complexZeros| |reducedQPowers| |cAcot| |characteristicSet| |reshape| + |toseLastSubResultant| |factorial| |arguments| |noValueMode| |janko2| + |cycleRagits| |setelt| |increasePrecision| |OMgetBVar| |algebraicSort| + |Lazard| |middle| |shiftRight| |completeSmith| |encodingDirectory| + |lastSubResultantElseSplit| |imagE| |conjug| |untab| |Lazard2| + |explicitlyFinite?| |showScalarValues| |rischDEsys| |weights| + |intChoose| |inconsistent?| |copy| |createMultiplicationMatrix| + |presuper| |tanSum| |extendedResultant| |taylorRep| |graphs| |union| + |radix| |divideExponents| |select!| |addPoint2| |binaryFunction| + |brillhartTrials| |discriminantEuclidean| |f01qef| |roman| |exQuo| + |iilog| |critT| |infinite?| |cyclicSubmodule| |bfEntry| + |rationalFunction| |conditionP| |rationalPower| |update| |sub| + |solveLinear| |removeRedundantFactors| |maxRowIndex| |autoCoerce| + |seed| |nthCoef| |dimensions| |assign| |lastSubResultant| + |fortranLogical| |setClosed| |sin?| |mvar| |extractSplittingLeaf| + |exportedOperators| |readLineIfCan!| |subHeight| |deleteRoutine!| + |leftUnits| |morphism| |lazyPremWithDefault| |pseudoRemainder| |f2st| + |useEisensteinCriterion?| |swap!| |mathieu12| |rank| |randomR| + |cycleTail| |OMmakeConn| |nthExponent| |before?| |mainValue| + |cycleEntry| |lagrange| |shallowExpand| |f02bbf| |nullary| |bigEndian| + |findCycle| UTS2UP |digit?| |factorSquareFree| |rootSplit| |singular?| + |minimalPolynomial| |pascalTriangle| |position| |generic?| + |eigenvalues| |solveid| |leadingIdeal| |jordanAlgebra?| |c06fpf| + |trapezoidal| |match?| |jokerMode| |OMreceive| + |rewriteIdealWithQuasiMonicGenerators| |linearAssociatedLog| + |OMputEndError| |pdct| |completeEval| |c06fuf| |mapSolve| |read!| + |quasiMonicPolynomials| |basicSet| |returns| |partialNumerators| + |createPrimitiveNormalPoly| |allRootsOf| |hMonic| |minGbasis| |f02xef| + |high| |roughEqualIdeals?| |meshFun2Var| |inf| |stopTableGcd!| + |getProperty| |specialTrigs| |fullPartialFraction| |extractIfCan| + |declare| |jacobi| |parseString| |coerceS| |c06ekf| |s17akf| |tab1| + |reducedContinuedFraction| |constantCoefficientRicDE| + |computeCycleLength| |tableau| |euler| |palglimint0| |linearMatrix| + |removeSquaresIfCan| |connectTo| |ellipticCylindrical| + |indiceSubResultant| |representationType| |coordinate| |ratpart| + |OMsend| |splitLinear| |f01bsf| |symmetricPower| |primintegrate| + |intersect| |nextsousResultant2| |definingEquations| |infiniteProduct| + |arg1| |mainExpression| |e02ajf| |setStatus!| |bit?| |resetBadValues| + |composites| |tanQ| |zeroDimPrime?| |lazyIrreducibleFactors| |isMult| + |prinpolINFO| |arg2| |sech| |viewSizeDefault| |mainVariable| + |packageCall| |cSech| |irVar| |semiResultantEuclideannaif| + |findConstructor| |associatedEquations| |e01saf| |cRationalPower| + |csch| |split!| |OMputEndAtp| |shufflein| |close| |LyndonWordsList1| + |rischDE| |makeTerm| |swap| |conditions| |complete| |asinh| + |solveInField| |integralAtInfinity?| |zeroDimPrimary?| |subset?| + |mkIntegral| |minimize| |setVariableOrder| |acosh| |match| |mindeg| + |selectOrPolynomials| |nextLatticePermutation| |numberOfFactors| + |schwerpunkt| |stop| |cardinality| |column| |display| |integralBasis| + |bright| |OMlistSymbols| |extract!| |tableForDiscreteLogarithm| + |precision| |fortranDoubleComplex| |atanh| |e02ddf| + |jordanAdmissible?| |contract| |lexGroebner| |lquo| |nullary?| |li| + |iiatanh| |s21bdf| |commutator| |acoth| |addPoint| |euclideanSize| + |removeZero| |regularRepresentation| |f07fef| |limitPlus| |ldf2lst| + |hdmpToP| |asech| |radicalEigenvectors| |quasiComponent| |reorder| + |OMgetApp| |OMsupportsCD?| |isList| |leviCivitaSymbol| + |unrankImproperPartitions0| |reduceBasisAtInfinity| |limitedIntegrate| + |iroot| |alphabetic?| |rewriteSetByReducingWithParticularGenerators| + |c05adf| |lazyIntegrate| |rotate| |c06fqf| |multiple| + |resultantEuclideannaif| |cross| |e02dff| |input| |e01sff| + |halfExtendedSubResultantGcd2| |leadingTerm| |changeBase| + |setMaxPoints3D| |inrootof| |tanh2trigh| |applyQuote| + |commonDenominator| |sn| |invmultisect| |library| |rightScalarTimes!| + |OMputSymbol| |frobenius| |printingInfo?| |genericLeftDiscriminant| + |dmpToHdmp| |critMonD1| |prinshINFO| |GospersMethod| |orbits| + |subresultantVector| |categoryMode| |tubePointsDefault| + |sizePascalTriangle| |f02adf| |adaptive| |acosIfCan| |cap| + |rootProduct| |henselFact| |maxIndex| |userOrdered?| |moebius| + |singularAtInfinity?| |squareFreeFactors| |showFortranOutputStack| + |ruleset| |rangePascalTriangle| |df2st| |factorList| |bag| |e01bhf| + |curry| |d02cjf| |box| |bsolve| |cotIfCan| |yellow| |doubleComplex?| + |selectMultiDimensionalRoutines| |set| |lfintegrate| |zero?| + |colorFunction| |f04axf| |polyred| |coHeight| |shiftRoots| |test| |id| + |subResultantsChain| |OMclose| |basisOfLeftAnnihilator| |whileLoop| + |expextendedint| |option?| |d01ajf| |suchThat| |listOfLists| |double?| + |totalGroebner| |hostByteOrder| |closed| |purelyAlgebraic?| |isOpen?| + |euclideanNormalForm| |differentialVariables| |newSubProgram| + |rootSimp| |f02fjf| |table| |readIfCan!| |quotedOperators| |compound?| + |showAllElements| |any| |rst| |quatern| |summation| |scaleRoots| + |insert| |new| |scanOneDimSubspaces| |homogeneous?| |baseRDE| + |directSum| |modulus| |obj| |permutation| |d02kef| |getProperties| + |matrixGcd| |var1Steps| |elem?| |sinhcosh| |eq| |subresultantSequence| + |consnewpol| |prefix| |halfExtendedSubResultantGcd1| |drawToScale| + |cache| |rational?| |legendre| |explicitlyEmpty?| |sturmSequence| + |unexpand| |iter| |s15aef| |lazyPseudoQuotient| |s17agf| |cPower| + |regime| |shellSort| |lifting1| |delete| |quasiAlgebraicSet| + |symmetricTensors| |signature| |ideal| |monomRDEsys| |e02bdf| + |makeSUP| |eulerPhi| |Hausdorff| |subst| |Vectorise| + |rectangularMatrix| |exprHasWeightCosWXorSinWX| |smith| |movedPoints| + |testModulus| |d02gaf| |PDESolve| |combineFeatureCompatibility| + |doubleResultant| |midpoint| |balancedFactorisation| |triangulate| + |pointColor| |shanksDiscLogAlgorithm| |defineProperty| |more?| + |entries| |trace2PowMod| |sinhIfCan| |symmetricSquare| |swapColumns!| + |nextItem| |LiePoly| |normalise| |directory| |script| |cAcsc| + |cyclicGroup| |unit?| |mapdiv| |radicalSimplify| |reverse!| |leftUnit| + |updateStatus!| |headAst| |rationalApproximation| |unmakeSUP| |iiacos| + |stosePrepareSubResAlgo| |selectPolynomials| |unitNormal| |lambert| + |pow| |retractIfCan| |scalarTypeOf| |critMTonD1| |seriesToOutputForm| + |flatten| |c06gbf| |Is| |exp| |physicalLength!| |setTopPredicate| + |sup| |currentSubProgram| |HenselLift| |objects| |tex| |irForm| + |s20adf| |left| |elRow2!| |numer| |pToDmp| |localReal?| |mainContent| + |eigenvectors| |loopPoints| |reopen!| |base| |rightTraceMatrix| + |removeZeroes| |/\\| |right| |outlineRender| |outputList| |denom| + |head| |groebnerIdeal| |d01amf| |mapExponents| |ReduceOrder| + |genericRightNorm| |figureUnits| |expandTrigProducts| |\\/| + |makeFloatFunction| |rootBound| |rightUnits| |numberOfDivisors| + |setchildren!| |e04dgf| |linearDependenceOverZ| |nil| |infinite| + |arbitraryExponent| |approximate| |complex| |shallowMutable| + |canonical| |noetherian| |central| |partiallyOrderedSet| + |arbitraryPrecision| |canonicalsClosed| |noZeroDivisors| + |rightUnitary| |leftUnitary| |additiveValuation| |unitsKnown| + |canonicalUnitNormal| |multiplicativeValuation| |finiteAggregate| + |shallowlyMutable| |commutative|)
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T) ((-23) . T) ((-25) . T) ((-38 #0=(-413 (-570))) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-38 |#1|) . T) ((-38 $) -2892 (|has| |#1| (-562)) (|has| |#1| (-354)) (|has| |#1| (-368)) (|has| |#1| (-311))) ((-35) |has| |#1| (-1212)) ((-95) |has| |#1| (-1212)) ((-102) . T) ((-111 #0# #0#) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-111 |#1| |#1|) . T) ((-111 $ $) . T) ((-132) . T) ((-146) -2892 (|has| |#1| (-354)) (|has| |#1| (-146))) ((-148) |has| |#1| (-148)) ((-622 #0#) -2892 (|has| |#1| (-1047 (-413 (-570)))) (|has| |#1| (-354)) (|has| |#1| (-368))) ((-622 (-570)) . T) ((-622 |#1|) . T) ((-622 $) -2892 (|has| |#1| (-562)) (|has| |#1| (-354)) (|has| |#1| (-368)) (|has| |#1| (-311))) ((-619 (-868)) . T) ((-174) . T) ((-620 (-171 (-227))) |has| |#1| (-1031)) ((-620 (-171 (-384))) |has| |#1| (-1031)) ((-620 (-542)) |has| |#1| (-620 (-542))) ((-620 (-899 (-384))) |has| |#1| (-620 (-899 (-384)))) ((-620 (-899 (-570))) |has| |#1| (-620 (-899 (-570)))) ((-620 #1=(-1182 |#1|)) . T) ((-233 |#1|) . T) ((-235) -2892 (|has| |#1| (-354)) (|has| |#1| (-235))) ((-245) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-288) |has| |#1| (-1212)) ((-290 |#1| $) |has| |#1| (-290 |#1| |#1|)) ((-294) -2892 (|has| |#1| (-562)) (|has| |#1| (-354)) (|has| |#1| (-368)) (|has| |#1| (-311))) ((-311) -2892 (|has| |#1| (-354)) (|has| |#1| (-368)) (|has| |#1| (-311))) ((-313 |#1|) |has| |#1| (-313 |#1|)) ((-368) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-408) |has| |#1| (-354)) ((-373) -2892 (|has| |#1| (-373)) (|has| |#1| (-354))) ((-354) |has| |#1| (-354)) ((-375 |#1| #1#) . T) ((-415 |#1| #1#) . T) ((-343 |#1|) . T) ((-382 |#1|) . T) ((-406 |#1|) . T) ((-417 |#1|) . T) ((-458) -2892 (|has| |#1| (-354)) (|has| |#1| (-368)) (|has| |#1| (-311))) ((-499) |has| |#1| (-1212)) ((-520 (-1186) |#1|) |has| |#1| (-520 (-1186) |#1|)) ((-520 |#1| |#1|) |has| |#1| (-313 |#1|)) ((-562) -2892 (|has| |#1| (-562)) (|has| |#1| (-354)) (|has| |#1| (-368)) (|has| |#1| (-311))) ((-652 #0#) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-652 (-570)) . T) ((-652 |#1|) . T) ((-652 $) . T) ((-654 #0#) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-654 |#1|) . T) ((-654 $) . T) ((-646 #0#) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-646 |#1|) . T) ((-646 $) -2892 (|has| |#1| (-562)) (|has| |#1| (-354)) (|has| |#1| (-368)) (|has| |#1| (-311))) ((-645 (-570)) |has| |#1| (-645 (-570))) ((-645 |#1|) . T) ((-723 #0#) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-723 |#1|) . T) ((-723 $) -2892 (|has| |#1| (-562)) (|has| |#1| (-354)) (|has| |#1| (-368)) (|has| |#1| (-311))) ((-730 |#1| #1#) . T) ((-732) . T) ((-907 (-1186)) |has| |#1| (-907 (-1186))) ((-893 (-384)) |has| |#1| (-893 (-384))) ((-893 (-570)) |has| |#1| (-893 (-570))) ((-891 |#1|) . T) ((-916) -12 (|has| |#1| (-311)) (|has| |#1| (-916))) ((-927) -2892 (|has| |#1| (-354)) (|has| |#1| (-368)) (|has| |#1| (-311))) ((-1011) -12 (|has| |#1| (-1011)) (|has| |#1| (-1212))) ((-1047 (-413 (-570))) |has| |#1| (-1047 (-413 (-570)))) ((-1047 (-570)) |has| |#1| (-1047 (-570))) ((-1047 |#1|) . T) ((-1060 #0#) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-1060 |#1|) . T) ((-1060 $) . T) ((-1065 #0#) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-1065 |#1|) . T) ((-1065 $) . T) ((-1058) . T) ((-1067) . T) ((-1121) . T) ((-1109) . T) ((-1161) |has| |#1| (-354)) ((-1212) |has| |#1| (-1212)) ((-1215) |has| |#1| (-1212)) ((-1227) . 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(|has| |#2| (-799)) (|has| |#2| (-368)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-25))) ((-34) . T) ((-38 |#2|) |has| |#2| (-174)) ((-102) -2895 (|has| |#2| (-1109)) (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-799)) (|has| |#2| (-732)) (|has| |#2| (-373)) (|has| |#2| (-368)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-25))) ((-111 |#2| |#2|) -2895 (|has| |#2| (-1058)) (|has| |#2| (-368)) (|has| |#2| (-174))) ((-111 $ $) |has| |#2| (-174)) ((-132) -2895 (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-799)) (|has| |#2| (-368)) (|has| |#2| (-174)) (|has| |#2| (-132))) ((-622 #0=(-413 (-570))) -12 (|has| |#2| (-1047 (-413 (-570)))) (|has| |#2| (-1109))) ((-622 (-570)) -2895 (|has| |#2| (-1058)) (-12 (|has| |#2| (-1047 (-570))) (|has| |#2| (-1109))) (|has| |#2| (-854)) (|has| |#2| (-174))) ((-622 |#2|) -2895 (|has| |#2| (-1109)) (|has| |#2| (-174))) ((-619 (-868)) -2895 (|has| |#2| (-1109)) (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-799)) (|has| |#2| (-732)) (|has| |#2| (-373)) (|has| |#2| (-368)) (|has| |#2| (-174)) (|has| |#2| (-619 (-868))) (|has| |#2| (-132)) (|has| |#2| (-25))) ((-619 (-1277 |#2|)) . T) ((-174) |has| |#2| (-174)) ((-233 |#2|) |has| |#2| (-1058)) ((-235) -12 (|has| |#2| (-235)) (|has| |#2| (-1058))) ((-290 #1=(-570) |#2|) . T) ((-292 #1# |#2|) . T) ((-313 |#2|) -12 (|has| |#2| (-313 |#2|)) (|has| |#2| (-1109))) ((-373) |has| |#2| (-373)) ((-382 |#2|) |has| |#2| (-1058)) ((-417 |#2|) |has| |#2| (-1109)) ((-495 |#2|) . T) ((-610 #1# |#2|) . T) ((-520 |#2| |#2|) -12 (|has| |#2| (-313 |#2|)) (|has| |#2| (-1109))) ((-652 (-570)) -2895 (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-368)) (|has| |#2| (-174))) ((-652 |#2|) -2895 (|has| |#2| (-1058)) (|has| |#2| (-368)) (|has| |#2| (-174))) ((-652 $) -2895 (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-174))) ((-654 |#2|) -2895 (|has| |#2| (-1058)) (|has| |#2| (-368)) (|has| |#2| (-174))) ((-654 $) -2895 (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-174))) ((-646 |#2|) -2895 (|has| |#2| (-368)) (|has| |#2| (-174))) ((-645 (-570)) -12 (|has| |#2| (-645 (-570))) (|has| |#2| (-1058))) ((-645 |#2|) |has| |#2| (-1058)) ((-723 |#2|) -2895 (|has| |#2| (-368)) (|has| |#2| (-174))) ((-732) -2895 (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-732)) (|has| |#2| (-174))) ((-797) |has| |#2| (-854)) ((-798) -2895 (|has| |#2| (-854)) (|has| |#2| (-799))) ((-799) |has| |#2| (-799)) ((-800) -2895 (|has| |#2| (-854)) (|has| |#2| (-799))) ((-801) -2895 (|has| |#2| (-854)) (|has| |#2| (-799))) ((-854) |has| |#2| (-854)) ((-856) -2895 (|has| |#2| (-854)) (|has| |#2| (-799))) ((-907 (-1186)) -12 (|has| |#2| (-907 (-1186))) (|has| |#2| (-1058))) ((-1047 #0#) -12 (|has| |#2| (-1047 (-413 (-570)))) (|has| |#2| (-1109))) ((-1047 (-570)) -12 (|has| |#2| (-1047 (-570))) (|has| |#2| (-1109))) ((-1047 |#2|) |has| |#2| (-1109)) ((-1060 |#2|) -2895 (|has| |#2| (-1058)) (|has| |#2| (-368)) (|has| |#2| (-174))) ((-1060 $) |has| |#2| (-174)) ((-1065 |#2|) -2895 (|has| |#2| (-1058)) (|has| |#2| (-368)) (|has| |#2| (-174))) ((-1065 $) |has| |#2| (-174)) ((-1058) -2895 (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-174))) ((-1067) -2895 (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-174))) ((-1121) -2895 (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-732)) (|has| |#2| (-174))) ((-1109) -2895 (|has| |#2| (-1109)) (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-799)) (|has| |#2| (-732)) (|has| |#2| (-373)) (|has| |#2| (-368)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-25))) ((-1227) . T) ((-1284 |#2|) |has| |#2| (-368))) -((-2677 (((-242 |#1| |#3|) (-1 |#3| |#2| |#3|) (-242 |#1| |#2|) |#3|) 21)) (-3627 ((|#3| (-1 |#3| |#2| |#3|) (-242 |#1| |#2|) |#3|) 23)) (-1357 (((-242 |#1| |#3|) (-1 |#3| |#2|) (-242 |#1| |#2|)) 18))) -(((-241 |#1| |#2| |#3|) (-10 -7 (-15 -2677 ((-242 |#1| |#3|) (-1 |#3| |#2| |#3|) (-242 |#1| |#2|) |#3|)) (-15 -3627 (|#3| (-1 |#3| |#2| |#3|) (-242 |#1| |#2|) |#3|)) (-15 -1357 ((-242 |#1| |#3|) (-1 |#3| |#2|) (-242 |#1| |#2|)))) (-777) (-1227) (-1227)) (T -241)) -((-1357 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *7 *6)) (-5 *4 (-242 *5 *6)) (-14 *5 (-777)) (-4 *6 (-1227)) (-4 *7 (-1227)) (-5 *2 (-242 *5 *7)) (-5 *1 (-241 *5 *6 *7)))) (-3627 (*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *6 *2)) (-5 *4 (-242 *5 *6)) (-14 *5 (-777)) (-4 *6 (-1227)) (-4 *2 (-1227)) (-5 *1 (-241 *5 *6 *2)))) (-2677 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 *5 *7 *5)) (-5 *4 (-242 *6 *7)) (-14 *6 (-777)) (-4 *7 (-1227)) (-4 *5 (-1227)) (-5 *2 (-242 *6 *5)) (-5 *1 (-241 *6 *7 *5))))) -(-10 -7 (-15 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|%noBranch|) (IF (|has| |t#2| (-132)) (-6 (-132)) |%noBranch|) (IF (|has| |t#2| (-732)) (PROGN (-6 (-732)) (-15 * ($ |t#2| $)) (-15 * ($ $ |t#2|))) |%noBranch|) (IF (|has| |t#2| (-373)) (-6 (-373)) |%noBranch|) (IF (|has| |t#2| (-174)) (PROGN (-6 (-38 |t#2|)) (-6 (-174))) |%noBranch|) (IF (|has| |t#2| (-6 -4449)) (-6 -4449) |%noBranch|) (IF (|has| |t#2| (-854)) (-6 (-854)) |%noBranch|) (IF (|has| |t#2| (-799)) (-6 (-799)) |%noBranch|) (IF (|has| |t#2| (-368)) (-6 (-1284 |t#2|)) |%noBranch|))) +(((-21) -2892 (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-368)) (|has| |#2| (-174))) ((-23) -2892 (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-799)) (|has| |#2| (-368)) (|has| |#2| (-174)) (|has| |#2| (-132))) ((-25) -2892 (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-799)) (|has| |#2| (-368)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-25))) ((-34) . T) ((-38 |#2|) |has| |#2| (-174)) ((-102) -2892 (|has| |#2| (-1109)) (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-799)) (|has| |#2| (-732)) (|has| |#2| (-373)) (|has| |#2| (-368)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-25))) ((-111 |#2| |#2|) -2892 (|has| |#2| (-1058)) (|has| |#2| (-368)) (|has| |#2| (-174))) ((-111 $ $) |has| |#2| (-174)) ((-132) -2892 (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-799)) (|has| |#2| (-368)) (|has| |#2| (-174)) (|has| |#2| (-132))) ((-622 #0=(-413 (-570))) -12 (|has| |#2| (-1047 (-413 (-570)))) (|has| |#2| (-1109))) ((-622 (-570)) -2892 (|has| |#2| (-1058)) (-12 (|has| |#2| (-1047 (-570))) (|has| |#2| (-1109))) (|has| |#2| (-854)) (|has| |#2| (-174))) ((-622 |#2|) -2892 (|has| |#2| (-1109)) (|has| |#2| (-174))) ((-619 (-868)) -2892 (|has| |#2| (-1109)) (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-799)) (|has| |#2| (-732)) (|has| |#2| (-373)) (|has| |#2| (-368)) (|has| |#2| (-174)) (|has| |#2| (-619 (-868))) (|has| |#2| (-132)) (|has| |#2| (-25))) ((-619 (-1277 |#2|)) . T) ((-174) |has| |#2| (-174)) ((-233 |#2|) |has| |#2| (-1058)) ((-235) -12 (|has| |#2| (-235)) (|has| |#2| (-1058))) ((-290 #1=(-570) |#2|) . T) ((-292 #1# |#2|) . T) ((-313 |#2|) -12 (|has| |#2| (-313 |#2|)) (|has| |#2| (-1109))) ((-373) |has| |#2| (-373)) ((-382 |#2|) |has| |#2| (-1058)) ((-417 |#2|) |has| |#2| (-1109)) ((-495 |#2|) . T) ((-610 #1# |#2|) . T) ((-520 |#2| |#2|) -12 (|has| |#2| (-313 |#2|)) (|has| |#2| (-1109))) ((-652 (-570)) -2892 (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-368)) (|has| |#2| (-174))) ((-652 |#2|) -2892 (|has| |#2| (-1058)) (|has| |#2| (-368)) (|has| |#2| (-174))) ((-652 $) -2892 (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-174))) ((-654 |#2|) -2892 (|has| |#2| (-1058)) (|has| |#2| (-368)) (|has| |#2| (-174))) ((-654 $) -2892 (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-174))) ((-646 |#2|) -2892 (|has| |#2| (-368)) (|has| |#2| (-174))) ((-645 (-570)) -12 (|has| |#2| (-645 (-570))) (|has| |#2| (-1058))) ((-645 |#2|) |has| |#2| (-1058)) ((-723 |#2|) -2892 (|has| |#2| (-368)) (|has| |#2| (-174))) ((-732) -2892 (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-732)) (|has| |#2| (-174))) ((-797) |has| |#2| (-854)) ((-798) -2892 (|has| |#2| (-854)) (|has| |#2| (-799))) ((-799) |has| |#2| (-799)) ((-800) -2892 (|has| |#2| (-854)) (|has| |#2| (-799))) ((-801) -2892 (|has| |#2| (-854)) (|has| |#2| (-799))) ((-854) |has| |#2| (-854)) ((-856) -2892 (|has| |#2| (-854)) (|has| |#2| (-799))) ((-907 (-1186)) -12 (|has| |#2| (-907 (-1186))) (|has| |#2| (-1058))) ((-1047 #0#) -12 (|has| |#2| (-1047 (-413 (-570)))) (|has| |#2| (-1109))) ((-1047 (-570)) -12 (|has| |#2| (-1047 (-570))) (|has| |#2| (-1109))) ((-1047 |#2|) |has| |#2| (-1109)) ((-1060 |#2|) -2892 (|has| |#2| (-1058)) (|has| |#2| (-368)) (|has| |#2| (-174))) ((-1060 $) |has| |#2| (-174)) ((-1065 |#2|) -2892 (|has| |#2| (-1058)) (|has| |#2| (-368)) (|has| |#2| (-174))) ((-1065 $) |has| |#2| (-174)) ((-1058) -2892 (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-174))) ((-1067) -2892 (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-174))) ((-1121) -2892 (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-732)) (|has| |#2| (-174))) ((-1109) -2892 (|has| |#2| (-1109)) (|has| |#2| (-1058)) (|has| |#2| (-854)) (|has| |#2| (-799)) (|has| |#2| (-732)) (|has| |#2| (-373)) (|has| |#2| (-368)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-25))) ((-1227) . T) ((-1284 |#2|) |has| |#2| (-368))) +((-3763 (((-242 |#1| |#3|) (-1 |#3| |#2| |#3|) (-242 |#1| |#2|) |#3|) 21)) (-3624 ((|#3| (-1 |#3| |#2| |#3|) (-242 |#1| |#2|) |#3|) 23)) (-1357 (((-242 |#1| |#3|) (-1 |#3| |#2|) (-242 |#1| |#2|)) 18))) +(((-241 |#1| |#2| |#3|) (-10 -7 (-15 -3763 ((-242 |#1| |#3|) (-1 |#3| |#2| |#3|) (-242 |#1| |#2|) |#3|)) (-15 -3624 (|#3| (-1 |#3| |#2| |#3|) (-242 |#1| |#2|) |#3|)) (-15 -1357 ((-242 |#1| |#3|) (-1 |#3| |#2|) (-242 |#1| |#2|)))) (-777) (-1227) (-1227)) (T -241)) +((-1357 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *7 *6)) (-5 *4 (-242 *5 *6)) (-14 *5 (-777)) (-4 *6 (-1227)) (-4 *7 (-1227)) (-5 *2 (-242 *5 *7)) (-5 *1 (-241 *5 *6 *7)))) (-3624 (*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *6 *2)) (-5 *4 (-242 *5 *6)) (-14 *5 (-777)) (-4 *6 (-1227)) (-4 *2 (-1227)) (-5 *1 (-241 *5 *6 *2)))) (-3763 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 *5 *7 *5)) (-5 *4 (-242 *6 *7)) (-14 *6 (-777)) (-4 *7 (-1227)) (-4 *5 (-1227)) (-5 *2 (-242 *6 *5)) (-5 *1 (-241 *6 *7 *5))))) +(-10 -7 (-15 -3763 ((-242 |#1| |#3|) (-1 |#3| |#2| |#3|) (-242 |#1| |#2|) |#3|)) (-15 -3624 (|#3| (-1 |#3| |#2| |#3|) (-242 |#1| |#2|) |#3|)) (-15 -1357 ((-242 |#1| |#3|) (-1 |#3| |#2|) (-242 |#1| |#2|)))) +((-2558 (((-112) $ $) NIL (|has| |#2| (-1109)))) (-4255 (((-112) $) NIL (|has| |#2| (-132)))) (-2199 (($ (-928)) 63 (|has| |#2| (-1058)))) (-4007 (((-1282) $ (-570) (-570)) NIL (|has| $ (-6 -4453)))) (-4393 (($ $ $) 68 (|has| |#2| (-799)))) (-3768 (((-3 $ "failed") $ $) 55 (|has| |#2| (-132)))) (-1573 (((-112) $ (-777)) 17)) (-3510 (((-777)) NIL (|has| |#2| (-373)))) (-3193 (((-570) $) NIL (|has| |#2| (-854)))) (-3935 ((|#2| $ (-570) |#2|) NIL (|has| $ (-6 -4453)))) (-3056 (($) NIL T CONST)) (-4383 (((-3 (-570) "failed") $) NIL (-12 (|has| |#2| (-1047 (-570))) (|has| |#2| (-1109)))) (((-3 (-413 (-570)) "failed") $) NIL (-12 (|has| |#2| (-1047 (-413 (-570)))) (|has| |#2| (-1109)))) (((-3 |#2| "failed") $) 31 (|has| |#2| (-1109)))) (-3215 (((-570) $) NIL (-12 (|has| |#2| (-1047 (-570))) (|has| |#2| (-1109)))) (((-413 (-570)) $) NIL (-12 (|has| |#2| (-1047 (-413 (-570)))) (|has| |#2| (-1109)))) ((|#2| $) 29 (|has| |#2| (-1109)))) (-2383 (((-695 (-570)) (-695 $)) NIL (-12 (|has| |#2| (-645 (-570))) (|has| |#2| (-1058)))) (((-2 (|:| -1671 (-695 (-570))) (|:| |vec| (-1277 (-570)))) (-695 $) (-1277 $)) NIL (-12 (|has| |#2| (-645 (-570))) (|has| |#2| (-1058)))) (((-2 (|:| -1671 (-695 |#2|)) (|:| |vec| (-1277 |#2|))) (-695 $) (-1277 $)) NIL (|has| |#2| (-1058))) (((-695 |#2|) (-695 $)) NIL (|has| |#2| (-1058)))) (-1540 (((-3 $ "failed") $) 59 (|has| |#2| (-732)))) (-3446 (($) NIL (|has| |#2| (-373)))) (-1518 ((|#2| $ (-570) |#2|) NIL (|has| $ (-6 -4453)))) (-3823 ((|#2| $ (-570)) 57)) (-3481 (((-112) $) NIL (|has| |#2| (-854)))) (-3627 (((-650 |#2|) $) 15 (|has| $ (-6 -4452)))) (-2881 (((-112) $) NIL (|has| |#2| (-732)))) (-2386 (((-112) $) NIL (|has| |#2| (-854)))) (-4355 (((-112) $ (-777)) NIL)) (-2673 (((-570) $) 20 (|has| (-570) (-856)))) (-3465 (($ $ $) NIL (-2892 (|has| |#2| 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T) ((-23) . T) ((-47 |#1| |#4|) . T) ((-25) . T) ((-38 #0=(-413 (-570))) |has| |#1| (-38 (-413 (-570)))) ((-38 |#1|) |has| |#1| (-174)) ((-38 $) -2892 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458))) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-38 (-413 (-570)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2892 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-622 #0#) -2892 (|has| |#1| (-1047 (-413 (-570)))) (|has| |#1| (-38 (-413 (-570))))) ((-622 (-570)) . T) ((-622 |#1|) . T) ((-622 |#2|) . T) ((-622 |#3|) . T) ((-622 $) -2892 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458))) ((-619 (-868)) . T) ((-174) -2892 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458)) (|has| |#1| (-174))) ((-620 (-542)) -12 (|has| |#1| (-620 (-542))) (|has| |#3| (-620 (-542)))) ((-620 (-899 (-384))) -12 (|has| |#1| (-620 (-899 (-384)))) (|has| |#3| (-620 (-899 (-384))))) ((-620 (-899 (-570))) -12 (|has| |#1| (-620 (-899 (-570)))) (|has| |#3| (-620 (-899 (-570))))) ((-233 |#1|) . T) ((-235) |has| |#1| (-235)) ((-294) -2892 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458))) ((-313 $) . T) ((-330 |#1| |#4|) . T) ((-382 |#1|) . T) ((-417 |#1|) . T) ((-458) -2892 (|has| |#1| (-916)) (|has| |#1| (-458))) ((-520 |#2| |#1|) |has| |#1| (-235)) ((-520 |#2| $) |has| |#1| (-235)) ((-520 |#3| |#1|) . T) ((-520 |#3| $) . T) ((-520 $ $) . T) ((-562) -2892 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458))) ((-652 #0#) |has| |#1| (-38 (-413 (-570)))) ((-652 (-570)) . T) ((-652 |#1|) . T) ((-652 $) . T) ((-654 #0#) |has| |#1| (-38 (-413 (-570)))) ((-654 |#1|) . T) ((-654 $) . 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T) ((-1161) |has| |#1| (-354)) ((-1231) -2895 (|has| |#1| (-354)) (|has| |#1| (-368)))) -((-3195 (($) 11)) (-1929 (((-3 $ "failed") $) 14)) (-4139 (((-112) $) 10)) (** (($ $ (-928)) NIL) (($ $ (-777)) 20))) -(((-731 |#1|) (-10 -8 (-15 -1929 ((-3 |#1| "failed") |#1|)) (-15 ** (|#1| |#1| (-777))) (-15 -4139 ((-112) |#1|)) (-15 -3195 (|#1|)) (-15 ** (|#1| |#1| (-928)))) (-732)) (T -731)) -NIL -(-10 -8 (-15 -1929 ((-3 |#1| "failed") |#1|)) (-15 ** (|#1| |#1| (-777))) (-15 -4139 ((-112) |#1|)) (-15 -3195 (|#1|)) (-15 ** (|#1| |#1| (-928)))) -((-2560 (((-112) $ $) 7)) (-3195 (($) 19 T CONST)) (-1929 (((-3 $ "failed") $) 16)) (-4139 (((-112) $) 18)) (-3989 (((-1168) $) 10)) (-3580 (((-1129) $) 11)) (-3802 (((-868) $) 12)) (-3359 (((-112) $ $) 9)) (-1876 (($) 20 T CONST)) (-3025 (((-112) $ $) 6)) (** (($ $ (-928)) 14) (($ $ (-777)) 17)) (* (($ $ $) 15))) +((-2466 (*1 *1) (-12 (-4 *2 (-174)) (-4 *1 (-730 *2 *3)) (-4 *3 (-1253 *2)))) (-3714 (*1 *2) (-12 (-4 *1 (-730 *3 *2)) (-4 *3 (-174)) (-4 *2 (-1253 *3)))) (-3624 (*1 *1 *2) (-12 (-4 *3 (-174)) (-4 *1 (-730 *3 *2)) (-4 *2 (-1253 *3)))) (-1426 (*1 *1 *2) (-12 (-4 *3 (-174)) (-4 *1 (-730 *3 *2)) (-4 *2 (-1253 *3)))) (-3611 (*1 *2 *1) (-12 (-4 *1 (-730 *3 *2)) (-4 *3 (-174)) (-4 *2 (-1253 *3)))) (-3624 (*1 *1 *2) (|partial| -12 (-5 *2 (-413 *4)) (-4 *4 (-1253 *3)) (-4 *3 (-368)) (-4 *3 (-174)) (-4 *1 (-730 *3 *4)))) (-3536 (*1 *2 *3 *4) (-12 (-5 *3 (-1277 *1)) (-5 *4 (-1 *5 *5)) (-4 *5 (-368)) (-4 *1 (-730 *5 *6)) (-4 *5 (-174)) (-4 *6 (-1253 *5)) (-5 *2 (-695 *5))))) +(-13 (-415 |t#1| |t#2|) (-174) (-620 |t#2|) (-417 |t#1|) (-382 |t#1|) (-10 -8 (-15 -2466 ($)) (-15 -3714 (|t#2|)) (-15 -3624 ($ |t#2|)) (-15 -1426 ($ |t#2|)) (-15 -3611 (|t#2| $)) (IF (|has| |t#1| (-373)) (-6 (-373)) |%noBranch|) (IF (|has| |t#1| (-368)) (PROGN (-6 (-368)) (-6 (-233 |t#1|)) (-15 -3624 ((-3 $ "failed") (-413 |t#2|))) (-15 -3536 ((-695 |t#1|) (-1277 $) (-1 |t#1| |t#1|)))) |%noBranch|) (IF (|has| |t#1| (-354)) (-6 (-354)) |%noBranch|))) +(((-21) . T) ((-23) . T) ((-25) . T) ((-38 #0=(-413 (-570))) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-38 |#1|) . T) ((-38 $) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-102) . T) ((-111 #0# #0#) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-111 |#1| |#1|) . T) ((-111 $ $) . T) ((-132) . T) ((-146) -2892 (|has| |#1| (-354)) (|has| |#1| (-146))) ((-148) |has| |#1| (-148)) ((-622 #0#) -2892 (|has| |#1| (-1047 (-413 (-570)))) (|has| |#1| (-354)) (|has| |#1| (-368))) ((-622 (-570)) . T) ((-622 |#1|) . T) ((-622 $) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-619 (-868)) . T) ((-174) . T) ((-620 |#2|) . 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T) ((-646 $) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-645 (-570)) |has| |#1| (-645 (-570))) ((-645 |#1|) . T) ((-723 #0#) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-723 |#1|) . T) ((-723 $) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-732) . T) ((-907 (-1186)) -12 (|has| |#1| (-368)) (|has| |#1| (-907 (-1186)))) ((-927) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-1047 (-413 (-570))) |has| |#1| (-1047 (-413 (-570)))) ((-1047 (-570)) |has| |#1| (-1047 (-570))) ((-1047 |#1|) . T) ((-1060 #0#) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-1060 |#1|) . T) ((-1060 $) . T) ((-1065 #0#) -2892 (|has| |#1| (-354)) (|has| |#1| (-368))) ((-1065 |#1|) . T) ((-1065 $) . T) ((-1058) . T) ((-1067) . T) ((-1121) . T) ((-1109) . T) ((-1161) |has| |#1| (-354)) ((-1231) -2892 (|has| |#1| (-354)) (|has| |#1| (-368)))) +((-3056 (($) 11)) (-1540 (((-3 $ "failed") $) 14)) (-2881 (((-112) $) 10)) (** (($ $ (-928)) NIL) (($ $ (-777)) 20))) +(((-731 |#1|) (-10 -8 (-15 -1540 ((-3 |#1| "failed") |#1|)) (-15 ** (|#1| |#1| (-777))) (-15 -2881 ((-112) |#1|)) (-15 -3056 (|#1|)) (-15 ** (|#1| |#1| (-928)))) (-732)) (T -731)) +NIL +(-10 -8 (-15 -1540 ((-3 |#1| "failed") |#1|)) (-15 ** (|#1| |#1| (-777))) (-15 -2881 ((-112) |#1|)) (-15 -3056 (|#1|)) (-15 ** (|#1| |#1| (-928)))) +((-2558 (((-112) $ $) 7)) (-3056 (($) 19 T CONST)) (-1540 (((-3 $ "failed") $) 16)) (-2881 (((-112) $) 18)) (-1957 (((-1168) $) 10)) (-3576 (((-1129) $) 11)) (-3802 (((-868) $) 12)) (-4014 (((-112) $ $) 9)) (-1875 (($) 20 T CONST)) (-3022 (((-112) $ $) 6)) (** (($ $ (-928)) 14) (($ $ (-777)) 17)) (* (($ $ $) 15))) (((-732) (-141)) (T -732)) -((-1876 (*1 *1) (-4 *1 (-732))) (-3195 (*1 *1) (-4 *1 (-732))) (-4139 (*1 *2 *1) (-12 (-4 *1 (-732)) (-5 *2 (-112)))) (** (*1 *1 *1 *2) (-12 (-4 *1 (-732)) (-5 *2 (-777)))) (-1929 (*1 *1 *1) (|partial| -4 *1 (-732)))) -(-13 (-1121) (-10 -8 (-15 (-1876) ($) -3728) (-15 -3195 ($) -3728) (-15 -4139 ((-112) $)) (-15 ** ($ $ (-777))) (-15 -1929 ((-3 $ "failed") $)))) +((-1875 (*1 *1) (-4 *1 (-732))) (-3056 (*1 *1) (-4 *1 (-732))) (-2881 (*1 *2 *1) (-12 (-4 *1 (-732)) (-5 *2 (-112)))) (** (*1 *1 *1 *2) (-12 (-4 *1 (-732)) (-5 *2 (-777)))) (-1540 (*1 *1 *1) (|partial| -4 *1 (-732)))) +(-13 (-1121) (-10 -8 (-15 (-1875) ($) -3728) (-15 -3056 ($) -3728) (-15 -2881 ((-112) $)) (-15 ** ($ $ (-777))) (-15 -1540 ((-3 $ "failed") $)))) (((-102) . 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T) ((-652 |#1|) . T) ((-652 |#2|) |has| |#1| (-368)) ((-652 $) . T) ((-654 #1#) -2892 (|has| |#1| (-368)) (|has| |#1| (-38 (-413 (-570))))) ((-654 |#1|) . T) ((-654 |#2|) |has| |#1| (-368)) ((-654 $) . T) ((-646 #1#) -2892 (|has| |#1| (-368)) (|has| |#1| (-38 (-413 (-570))))) ((-646 |#1|) |has| |#1| (-174)) ((-646 |#2|) |has| |#1| (-368)) ((-646 $) -2892 (|has| |#1| (-562)) (|has| |#1| (-368))) ((-645 (-570)) -12 (|has| |#1| (-368)) (|has| |#2| (-645 (-570)))) ((-645 |#2|) |has| |#1| (-368)) ((-723 #1#) -2892 (|has| |#1| (-368)) (|has| |#1| (-38 (-413 (-570))))) ((-723 |#1|) |has| |#1| (-174)) ((-723 |#2|) |has| |#1| (-368)) ((-723 $) -2892 (|has| |#1| (-562)) (|has| |#1| (-368))) ((-732) . 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T) ((-927) |has| |#1| (-368)) ((-1001 |#2|) |has| |#1| (-368)) ((-1011) |has| |#1| (-38 (-413 (-570)))) ((-1031) -12 (|has| |#1| (-368)) (|has| |#2| (-1031))) ((-1047 (-413 (-570))) -12 (|has| |#1| (-368)) (|has| |#2| (-1047 (-570)))) ((-1047 (-570)) -12 (|has| |#1| (-368)) (|has| |#2| (-1047 (-570)))) ((-1047 #2#) -12 (|has| |#1| (-368)) (|has| |#2| (-1047 (-1186)))) ((-1047 |#2|) . T) ((-1060 #1#) -2892 (|has| |#1| (-368)) (|has| |#1| (-38 (-413 (-570))))) ((-1060 |#1|) . T) ((-1060 |#2|) |has| |#1| (-368)) ((-1060 $) -2892 (|has| |#1| (-562)) (|has| |#1| (-368)) (|has| |#1| (-174))) ((-1065 #1#) -2892 (|has| |#1| (-368)) (|has| |#1| (-38 (-413 (-570))))) ((-1065 |#1|) . T) ((-1065 |#2|) |has| |#1| (-368)) ((-1065 $) -2892 (|has| |#1| (-562)) (|has| |#1| (-368)) (|has| |#1| (-174))) ((-1058) . T) ((-1067) . T) ((-1121) . T) ((-1109) . 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T) ((-174) -2895 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458)) (|has| |#1| (-368)) (|has| |#1| (-174))) ((-620 (-542)) -12 (|has| (-1091) (-620 (-542))) (|has| |#1| (-620 (-542)))) ((-620 (-899 (-384))) -12 (|has| (-1091) (-620 (-899 (-384)))) (|has| |#1| (-620 (-899 (-384))))) ((-620 (-899 (-570))) -12 (|has| (-1091) (-620 (-899 (-570)))) (|has| |#1| (-620 (-899 (-570))))) ((-233 |#1|) . T) ((-235) . T) ((-290 (-413 $) (-413 $)) |has| |#1| (-562)) ((-290 |#1| |#1|) . T) ((-290 $ $) . T) ((-294) -2895 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458)) (|has| |#1| (-368))) ((-311) |has| |#1| (-368)) ((-313 $) . T) ((-330 |#1| #0#) . T) ((-382 |#1|) . T) ((-417 |#1|) . T) ((-458) -2895 (|has| |#1| (-916)) (|has| |#1| (-458)) (|has| |#1| (-368))) ((-520 #2# |#1|) . T) ((-520 #2# $) . T) ((-520 $ $) . T) ((-562) -2895 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458)) (|has| |#1| (-368))) ((-652 #1#) |has| |#1| (-38 (-413 (-570)))) ((-652 (-570)) . T) ((-652 |#1|) . T) ((-652 $) . T) ((-654 #1#) |has| |#1| (-38 (-413 (-570)))) ((-654 |#1|) . T) ((-654 $) . T) ((-646 #1#) |has| |#1| (-38 (-413 (-570)))) ((-646 |#1|) |has| |#1| (-174)) ((-646 $) -2895 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458)) (|has| |#1| (-368))) ((-645 (-570)) |has| |#1| (-645 (-570))) ((-645 |#1|) . T) ((-723 #1#) |has| |#1| (-38 (-413 (-570)))) ((-723 |#1|) |has| |#1| (-174)) ((-723 $) -2895 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458)) (|has| |#1| (-368))) ((-732) . T) ((-907 #2#) . T) ((-907 (-1186)) |has| |#1| (-907 (-1186))) ((-893 (-384)) -12 (|has| (-1091) (-893 (-384))) (|has| |#1| (-893 (-384)))) ((-893 (-570)) -12 (|has| (-1091) (-893 (-570))) (|has| |#1| (-893 (-570)))) ((-956 |#1| #0# #2#) . T) ((-916) |has| |#1| (-916)) ((-927) |has| |#1| (-368)) ((-1047 (-413 (-570))) |has| |#1| (-1047 (-413 (-570)))) ((-1047 (-570)) |has| |#1| (-1047 (-570))) ((-1047 #2#) . T) ((-1047 |#1|) . T) ((-1060 #1#) |has| |#1| (-38 (-413 (-570)))) ((-1060 |#1|) . T) ((-1060 $) -2895 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458)) (|has| |#1| (-368)) (|has| |#1| (-174))) ((-1065 #1#) |has| |#1| (-38 (-413 (-570)))) ((-1065 |#1|) . T) ((-1065 $) -2895 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458)) (|has| |#1| (-368)) (|has| |#1| (-174))) ((-1058) . T) ((-1067) . T) ((-1121) . T) ((-1109) . T) ((-1161) |has| |#1| (-1161)) ((-1231) |has| |#1| (-916))) -((-1755 (((-650 (-1091)) $) 34)) (-1954 (($ $) 31)) (-3915 (($ |#2| |#3|) NIL) (($ $ (-1091) |#3|) 28) (($ $ (-650 (-1091)) (-650 |#3|)) 27)) (-1914 (($ $) 14)) (-1928 ((|#2| $) 12)) (-3079 ((|#3| $) 10))) -(((-1254 |#1| |#2| |#3|) (-10 -8 (-15 -1755 ((-650 (-1091)) |#1|)) (-15 -3915 (|#1| |#1| (-650 (-1091)) (-650 |#3|))) (-15 -3915 (|#1| |#1| (-1091) |#3|)) (-15 -1954 (|#1| |#1|)) (-15 -3915 (|#1| |#2| |#3|)) (-15 -3079 (|#3| |#1|)) (-15 -1914 (|#1| |#1|)) (-15 -1928 (|#2| |#1|))) (-1255 |#2| |#3|) (-1058) (-798)) (T -1254)) -NIL -(-10 -8 (-15 -1755 ((-650 (-1091)) |#1|)) (-15 -3915 (|#1| |#1| (-650 (-1091)) (-650 |#3|))) (-15 -3915 (|#1| |#1| (-1091) |#3|)) (-15 -1954 (|#1| |#1|)) (-15 -3915 (|#1| |#2| |#3|)) (-15 -3079 (|#3| |#1|)) (-15 -1914 (|#1| |#1|)) (-15 -1928 (|#2| |#1|))) -((-2560 (((-112) $ $) 7)) (-3721 (((-112) $) 17)) (-1755 (((-650 (-1091)) $) 86)) (-2800 (((-1186) $) 115)) (-3270 (((-2 (|:| -3635 $) (|:| -4439 $) (|:| |associate| $)) $) 63 (|has| |#1| (-562)))) (-4306 (($ $) 64 (|has| |#1| (-562)))) (-2617 (((-112) $) 66 (|has| |#1| (-562)))) (-1622 (($ $ |#2|) 110) (($ $ |#2| |#2|) 109)) (-3257 (((-1166 (-2 (|:| |k| |#2|) (|:| |c| |#1|))) $) 117)) (-1966 (((-3 $ "failed") $ $) 20)) (-3195 (($) 18 T CONST)) (-1954 (($ $) 72)) (-1929 (((-3 $ "failed") $) 37)) (-2646 (((-112) $) 85)) (-3941 ((|#2| $) 112) ((|#2| $ |#2|) 111)) (-4139 (((-112) $) 35)) (-3660 (($ $ (-928)) 113)) (-3633 (((-112) $) 74)) (-3915 (($ |#1| |#2|) 73) (($ $ (-1091) |#2|) 88) (($ $ (-650 (-1091)) (-650 |#2|)) 87)) (-1357 (($ (-1 |#1| |#1|) $) 75)) (-1914 (($ $) 77)) (-1928 ((|#1| $) 78)) (-3989 (((-1168) $) 10)) (-3580 (((-1129) $) 11)) (-3152 (($ $ |#2|) 107)) (-2548 (((-3 $ "failed") $ $) 62 (|has| |#1| (-562)))) (-1771 (((-1166 |#1|) $ |#1|) 106 (|has| |#1| (-15 ** (|#1| |#1| |#2|))))) (-1942 ((|#1| $ |#2|) 116) (($ $ $) 93 (|has| |#2| (-1121)))) (-3550 (($ $ (-650 (-1186)) (-650 (-777))) 101 (-12 (|has| |#1| 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(-413 (-570))))))) +(-13 (-956 |t#1| (-777) (-1091)) (-290 |t#1| |t#1|) (-290 $ $) (-235) (-233 |t#1|) (-10 -8 (-15 -1798 ((-1277 |t#1|) $ (-777))) (-15 -4335 ((-1182 |t#1|) $)) (-15 -4376 ($ (-1182 |t#1|))) (-15 -1857 ($ $ (-777))) (-15 -3964 ((-3 $ "failed") $ (-777))) (-15 -1606 ((-2 (|:| -1604 $) (|:| -1743 $)) $ $)) (-15 -3338 ((-2 (|:| -1604 $) (|:| -1743 $)) $ (-777))) (-15 -3941 ($ $ (-777))) (-15 -2805 ($ $ (-777))) (-15 -4004 ($ $ $)) (-15 -3546 ($ $ (-1 |t#1| |t#1|) $)) (IF (|has| |t#1| (-1161)) (-6 (-1161)) |%noBranch|) (IF (|has| |t#1| (-174)) (PROGN (-15 -3861 (|t#1| $)) (-15 -2595 (|t#1| $ $))) |%noBranch|) (IF (|has| |t#1| (-562)) (PROGN (-6 (-290 (-413 $) (-413 $))) (-15 -1941 ((-413 $) (-413 $) (-413 $))) (-15 -1387 ((-777) $ $)) (-15 -2764 ($ $ $)) (-15 -1608 ((-3 $ "failed") $ $)) (-15 -1608 ((-3 (-413 $) "failed") (-413 $) $)) (-15 -3287 ($ $ $)) (-15 -1491 ((-2 (|:| -1453 |t#1|) (|:| -1604 $) (|:| -1743 $)) $ $))) |%noBranch|) (IF (|has| |t#1| (-458)) (-15 -1816 ((-2 (|:| |primePart| $) (|:| |commonPart| $)) $ $)) |%noBranch|) (IF (|has| |t#1| (-368)) (PROGN (-6 (-311)) (-6 -4448) (-15 -1941 (|t#1| (-413 $) |t#1|))) |%noBranch|) (IF (|has| |t#1| (-38 (-413 (-570)))) (-15 -3170 ($ $)) |%noBranch|))) +(((-21) . T) ((-23) . T) ((-47 |#1| #0=(-777)) . T) ((-25) . T) ((-38 #1=(-413 (-570))) |has| |#1| (-38 (-413 (-570)))) ((-38 |#1|) |has| |#1| (-174)) ((-38 $) -2892 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458)) (|has| |#1| (-368))) ((-102) . T) ((-111 #1# #1#) |has| |#1| (-38 (-413 (-570)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2892 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458)) (|has| |#1| (-368)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-622 #1#) -2892 (|has| |#1| (-1047 (-413 (-570)))) (|has| |#1| (-38 (-413 (-570))))) ((-622 (-570)) . T) ((-622 #2=(-1091)) . T) ((-622 |#1|) . T) ((-622 $) -2892 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458)) (|has| |#1| (-368))) ((-619 (-868)) . T) ((-174) -2892 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458)) (|has| |#1| (-368)) (|has| |#1| (-174))) ((-620 (-542)) -12 (|has| (-1091) (-620 (-542))) (|has| |#1| (-620 (-542)))) ((-620 (-899 (-384))) -12 (|has| (-1091) (-620 (-899 (-384)))) (|has| |#1| (-620 (-899 (-384))))) ((-620 (-899 (-570))) -12 (|has| (-1091) (-620 (-899 (-570)))) (|has| |#1| (-620 (-899 (-570))))) ((-233 |#1|) . T) ((-235) . T) ((-290 (-413 $) (-413 $)) |has| |#1| (-562)) ((-290 |#1| |#1|) . T) ((-290 $ $) . T) ((-294) -2892 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458)) (|has| |#1| (-368))) ((-311) |has| |#1| (-368)) ((-313 $) . T) ((-330 |#1| #0#) . T) ((-382 |#1|) . T) ((-417 |#1|) . T) ((-458) -2892 (|has| |#1| (-916)) (|has| |#1| (-458)) (|has| |#1| (-368))) ((-520 #2# |#1|) . T) ((-520 #2# $) . T) ((-520 $ $) . T) ((-562) -2892 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458)) (|has| |#1| (-368))) ((-652 #1#) |has| |#1| (-38 (-413 (-570)))) ((-652 (-570)) . T) ((-652 |#1|) . T) ((-652 $) . T) ((-654 #1#) |has| |#1| (-38 (-413 (-570)))) ((-654 |#1|) . T) ((-654 $) . T) ((-646 #1#) |has| |#1| (-38 (-413 (-570)))) ((-646 |#1|) |has| |#1| (-174)) ((-646 $) -2892 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458)) (|has| |#1| (-368))) ((-645 (-570)) |has| |#1| (-645 (-570))) ((-645 |#1|) . T) ((-723 #1#) |has| |#1| (-38 (-413 (-570)))) ((-723 |#1|) |has| |#1| (-174)) ((-723 $) -2892 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458)) (|has| |#1| (-368))) ((-732) . T) ((-907 #2#) . T) ((-907 (-1186)) |has| |#1| (-907 (-1186))) ((-893 (-384)) -12 (|has| (-1091) (-893 (-384))) (|has| |#1| (-893 (-384)))) ((-893 (-570)) -12 (|has| (-1091) (-893 (-570))) (|has| |#1| (-893 (-570)))) ((-956 |#1| #0# #2#) . T) ((-916) |has| |#1| (-916)) ((-927) |has| |#1| (-368)) ((-1047 (-413 (-570))) |has| |#1| (-1047 (-413 (-570)))) ((-1047 (-570)) |has| |#1| (-1047 (-570))) ((-1047 #2#) . T) ((-1047 |#1|) . T) ((-1060 #1#) |has| |#1| (-38 (-413 (-570)))) ((-1060 |#1|) . T) ((-1060 $) -2892 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458)) (|has| |#1| (-368)) (|has| |#1| (-174))) ((-1065 #1#) |has| |#1| (-38 (-413 (-570)))) ((-1065 |#1|) . T) ((-1065 $) -2892 (|has| |#1| (-916)) (|has| |#1| (-562)) (|has| |#1| (-458)) (|has| |#1| (-368)) (|has| |#1| (-174))) ((-1058) . T) ((-1067) . T) ((-1121) . T) ((-1109) . 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T) ((-646 #1#) -2895 (|has| |#1| (-368)) (|has| |#1| (-38 (-413 (-570))))) ((-646 |#1|) |has| |#1| (-174)) ((-646 $) -2895 (|has| |#1| (-562)) (|has| |#1| (-368))) ((-723 #1#) -2895 (|has| |#1| (-368)) (|has| |#1| (-38 (-413 (-570))))) ((-723 |#1|) |has| |#1| (-174)) ((-723 $) -2895 (|has| |#1| (-562)) (|has| |#1| (-368))) ((-732) . T) ((-907 (-1186)) -12 (|has| |#1| (-15 * (|#1| (-413 (-570)) |#1|))) (|has| |#1| (-907 (-1186)))) ((-982 |#1| #0# (-1091)) . T) ((-927) |has| |#1| (-368)) ((-1011) |has| |#1| (-38 (-413 (-570)))) ((-1060 #1#) -2895 (|has| |#1| (-368)) (|has| |#1| (-38 (-413 (-570))))) ((-1060 |#1|) . T) ((-1060 $) -2895 (|has| |#1| (-562)) (|has| |#1| (-368)) (|has| |#1| (-174))) ((-1065 #1#) -2895 (|has| |#1| (-368)) (|has| |#1| (-38 (-413 (-570))))) ((-1065 |#1|) . T) ((-1065 $) -2895 (|has| |#1| (-562)) (|has| |#1| (-368)) (|has| |#1| (-174))) ((-1058) . T) ((-1067) . T) ((-1121) . T) ((-1109) . T) ((-1212) |has| |#1| (-38 (-413 (-570)))) ((-1215) |has| |#1| (-38 (-413 (-570)))) ((-1231) |has| |#1| (-368)) ((-1255 |#1| #0#) . 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T) ((-23) . T) ((-47 |#1| #0=(-413 (-570))) . T) ((-25) . T) ((-38 #1=(-413 (-570))) -2892 (|has| |#1| (-368)) (|has| |#1| (-38 (-413 (-570))))) ((-38 |#1|) |has| |#1| (-174)) ((-38 $) -2892 (|has| |#1| (-562)) (|has| |#1| (-368))) ((-35) |has| |#1| (-38 (-413 (-570)))) ((-95) |has| |#1| (-38 (-413 (-570)))) ((-102) . T) ((-111 #1# #1#) -2892 (|has| |#1| (-368)) (|has| |#1| (-38 (-413 (-570))))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2892 (|has| |#1| (-562)) (|has| |#1| (-368)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-622 #1#) -2892 (|has| |#1| (-368)) (|has| |#1| (-38 (-413 (-570))))) ((-622 (-570)) . T) ((-622 |#1|) |has| |#1| (-174)) ((-622 $) -2892 (|has| |#1| (-562)) (|has| |#1| (-368))) ((-619 (-868)) . T) ((-174) -2892 (|has| |#1| (-562)) (|has| |#1| (-368)) (|has| |#1| (-174))) ((-235) |has| |#1| (-15 * (|#1| (-413 (-570)) |#1|))) ((-245) |has| |#1| (-368)) ((-288) |has| |#1| (-38 (-413 (-570)))) ((-290 $ $) |has| (-413 (-570)) (-1121)) ((-294) -2892 (|has| |#1| (-562)) (|has| |#1| (-368))) ((-311) |has| |#1| (-368)) ((-368) |has| |#1| (-368)) ((-458) |has| |#1| (-368)) ((-499) |has| |#1| (-38 (-413 (-570)))) ((-562) -2892 (|has| |#1| (-562)) (|has| |#1| (-368))) ((-652 #1#) -2892 (|has| |#1| (-368)) (|has| |#1| (-38 (-413 (-570))))) ((-652 (-570)) . T) ((-652 |#1|) . T) ((-652 $) . T) ((-654 #1#) -2892 (|has| |#1| (-368)) (|has| |#1| (-38 (-413 (-570))))) ((-654 |#1|) . T) ((-654 $) . T) ((-646 #1#) -2892 (|has| |#1| (-368)) (|has| |#1| (-38 (-413 (-570))))) ((-646 |#1|) |has| |#1| (-174)) ((-646 $) -2892 (|has| |#1| (-562)) (|has| |#1| (-368))) ((-723 #1#) -2892 (|has| |#1| (-368)) (|has| |#1| (-38 (-413 (-570))))) ((-723 |#1|) |has| |#1| (-174)) ((-723 $) -2892 (|has| |#1| (-562)) (|has| |#1| (-368))) ((-732) . T) ((-907 (-1186)) -12 (|has| |#1| (-15 * (|#1| (-413 (-570)) |#1|))) (|has| |#1| (-907 (-1186)))) ((-982 |#1| #0# (-1091)) . T) ((-927) |has| |#1| (-368)) ((-1011) |has| |#1| (-38 (-413 (-570)))) ((-1060 #1#) -2892 (|has| |#1| (-368)) (|has| |#1| (-38 (-413 (-570))))) ((-1060 |#1|) . T) ((-1060 $) -2892 (|has| |#1| (-562)) (|has| |#1| (-368)) (|has| |#1| (-174))) ((-1065 #1#) -2892 (|has| |#1| (-368)) (|has| |#1| (-38 (-413 (-570))))) ((-1065 |#1|) . T) ((-1065 $) -2892 (|has| |#1| (-562)) (|has| |#1| (-368)) (|has| |#1| (-174))) ((-1058) . T) ((-1067) . T) ((-1121) . T) ((-1109) . T) ((-1212) |has| |#1| (-38 (-413 (-570)))) ((-1215) |has| |#1| (-38 (-413 (-570)))) ((-1231) |has| |#1| (-368)) ((-1255 |#1| #0#) . 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2908562 2908592 "TRANFUN" 2908627 T TRANFUN (NIL) -9 NIL 2908693 NIL) (-1211 2907313 2907504 2907784 "TRANFUN-" 2907789 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1210 2907117 2907149 2907210 "TOPSP" 2907274 T TOPSP (NIL) -7 NIL NIL NIL) (-1209 2906465 2906580 2906734 "TOOLSIGN" 2906998 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1208 2905099 2905642 2905881 "TEXTFILE" 2906248 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1207 2903011 2903552 2903981 "TEX" 2904692 T TEX (NIL) -8 NIL NIL NIL) (-1206 2902792 2902823 2902895 "TEX1" 2902974 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1205 2902440 2902503 2902593 "TEMUTL" 2902724 T TEMUTL (NIL) -7 NIL NIL NIL) (-1204 2900594 2900874 2901199 "TBCMPPK" 2902163 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1203 2892371 2898754 2898810 "TBAGG" 2899210 NIL TBAGG (NIL T T) -9 NIL 2899421 NIL) (-1202 2887441 2888929 2890683 "TBAGG-" 2890688 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1201 2886825 2886932 2887077 "TANEXP" 2887330 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1200 2886336 2886600 2886690 "TALGOP" 2886770 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1199 2879726 2886193 2886286 "TABLE" 2886291 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1198 2879138 2879237 2879375 "TABLEAU" 2879623 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1197 2873746 2874966 2876214 "TABLBUMP" 2877924 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1196 2872968 2873115 2873296 "SYSTEM" 2873587 T SYSTEM (NIL) -8 NIL NIL NIL) (-1195 2869427 2870126 2870909 "SYSSOLP" 2872219 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1194 2869225 2869382 2869413 "SYSPTR" 2869418 T SYSPTR (NIL) -8 NIL NIL NIL) (-1193 2868269 2868774 2868893 "SYSNNI" 2869079 NIL SYSNNI (NIL NIL) -8 NIL NIL 2869164) (-1192 2867576 2868035 2868114 "SYSINT" 2868174 NIL SYSINT (NIL NIL) -8 NIL NIL 2868219) (-1191 2863908 2864854 2865564 "SYNTAX" 2866888 T SYNTAX (NIL) -8 NIL NIL NIL) (-1190 2861066 2861668 2862300 "SYMTAB" 2863298 T SYMTAB (NIL) -8 NIL NIL NIL) (-1189 2856315 2857217 2858200 "SYMS" 2860105 T SYMS (NIL) -8 NIL NIL NIL) (-1188 2853550 2855773 2856003 "SYMPOLY" 2856120 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1187 2853067 2853142 2853265 "SYMFUNC" 2853462 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1186 2849087 2850379 2851192 "SYMBOL" 2852276 T SYMBOL (NIL) -8 NIL NIL NIL) (-1185 2842626 2844315 2846035 "SWITCH" 2847389 T SWITCH (NIL) -8 NIL NIL NIL) (-1184 2835860 2841447 2841750 "SUTS" 2842381 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1183 2827926 2835107 2835380 "SUPXS" 2835645 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1182 2819685 2827544 2827670 "SUP" 2827835 NIL SUP (NIL T) -8 NIL NIL NIL) (-1181 2818844 2818971 2819188 "SUPFRACF" 2819553 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1180 2818465 2818524 2818637 "SUP2" 2818779 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1179 2816913 2817187 2817543 "SUMRF" 2818164 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1178 2816248 2816314 2816506 "SUMFS" 2816834 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1177 2800215 2815425 2815676 "SULS" 2816055 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1176 2799817 2800037 2800107 "SUCHTAST" 2800167 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1175 2799112 2799342 2799482 "SUCH" 2799725 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1174 2792979 2794018 2794977 "SUBSPACE" 2798200 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1173 2792409 2792499 2792663 "SUBRESP" 2792867 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1172 2785777 2787074 2788385 "STTF" 2791145 NIL STTF (NIL T) -7 NIL NIL NIL) (-1171 2779950 2781070 2782217 "STTFNC" 2784677 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1170 2771263 2773132 2774926 "STTAYLOR" 2778191 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1169 2764393 2771127 2771210 "STRTBL" 2771215 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1168 2759757 2764348 2764379 "STRING" 2764384 T STRING (NIL) -8 NIL NIL NIL) (-1167 2754618 2759130 2759160 "STRICAT" 2759219 T STRICAT (NIL) -9 NIL 2759281 NIL) (-1166 2747371 2752237 2752848 "STREAM" 2754042 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1165 2746881 2746958 2747102 "STREAM3" 2747288 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1164 2745863 2746046 2746281 "STREAM2" 2746694 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1163 2745551 2745603 2745696 "STREAM1" 2745805 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1162 2744567 2744748 2744979 "STINPROD" 2745367 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1161 2744119 2744329 2744359 "STEP" 2744439 T STEP (NIL) -9 NIL 2744517 NIL) (-1160 2743306 2743608 2743756 "STEPAST" 2743993 T STEPAST (NIL) -8 NIL NIL NIL) (-1159 2736738 2743205 2743282 "STBL" 2743287 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1158 2731864 2735959 2736002 "STAGG" 2736155 NIL STAGG (NIL T) -9 NIL 2736244 NIL) (-1157 2729566 2730168 2731040 "STAGG-" 2731045 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1156 2727713 2729336 2729428 "STACK" 2729509 NIL STACK (NIL T) -8 NIL NIL NIL) (-1155 2720408 2725854 2726310 "SREGSET" 2727343 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1154 2712833 2714202 2715715 "SRDCMPK" 2719014 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1153 2705750 2710273 2710303 "SRAGG" 2711606 T SRAGG (NIL) -9 NIL 2712214 NIL) (-1152 2704767 2705022 2705401 "SRAGG-" 2705406 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1151 2699227 2703714 2704135 "SQMATRIX" 2704393 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1150 2692912 2695945 2696672 "SPLTREE" 2698572 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1149 2688875 2689568 2690214 "SPLNODE" 2692338 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1148 2687922 2688155 2688185 "SPFCAT" 2688629 T SPFCAT (NIL) -9 NIL NIL NIL) (-1147 2686659 2686869 2687133 "SPECOUT" 2687680 T SPECOUT (NIL) -7 NIL NIL NIL) (-1146 2677769 2679641 2679671 "SPADXPT" 2684347 T SPADXPT (NIL) -9 NIL 2686511 NIL) (-1145 2677530 2677570 2677639 "SPADPRSR" 2677722 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1144 2675579 2677485 2677516 "SPADAST" 2677521 T SPADAST (NIL) -8 NIL NIL NIL) (-1143 2667524 2669297 2669340 "SPACEC" 2673713 NIL SPACEC (NIL T) -9 NIL 2675529 NIL) (-1142 2665654 2667456 2667505 "SPACE3" 2667510 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1141 2664406 2664577 2664868 "SORTPAK" 2665459 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1140 2662498 2662801 2663213 "SOLVETRA" 2664070 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1139 2661548 2661770 2662031 "SOLVESER" 2662271 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1138 2656852 2657740 2658735 "SOLVERAD" 2660600 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1137 2652667 2653276 2654005 "SOLVEFOR" 2656219 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1136 2646937 2652016 2652113 "SNTSCAT" 2652118 NIL SNTSCAT (NIL T T T T) -9 NIL 2652188 NIL) (-1135 2641043 2645260 2645651 "SMTS" 2646627 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1134 2635728 2640931 2641008 "SMP" 2641013 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1133 2633887 2634188 2634586 "SMITH" 2635425 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1132 2626600 2630796 2630899 "SMATCAT" 2632250 NIL SMATCAT (NIL NIL T T T) -9 NIL 2632800 NIL) (-1131 2623540 2624363 2625541 "SMATCAT-" 2625546 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1130 2621206 2622776 2622819 "SKAGG" 2623080 NIL SKAGG (NIL T) -9 NIL 2623215 NIL) (-1129 2617532 2620679 2620863 "SINT" 2621015 T SINT (NIL) -8 NIL NIL 2621177) (-1128 2617304 2617342 2617408 "SIMPAN" 2617488 T SIMPAN (NIL) -7 NIL NIL NIL) (-1127 2616583 2616839 2616979 "SIG" 2617186 T SIG (NIL) -8 NIL NIL NIL) (-1126 2615421 2615642 2615917 "SIGNRF" 2616342 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1125 2614254 2614405 2614689 "SIGNEF" 2615250 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1124 2613560 2613837 2613961 "SIGAST" 2614152 T SIGAST (NIL) -8 NIL NIL NIL) (-1123 2611250 2611704 2612210 "SHP" 2613101 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1122 2605102 2611151 2611227 "SHDP" 2611232 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1121 2604675 2604867 2604897 "SGROUP" 2604990 T SGROUP (NIL) -9 NIL 2605052 NIL) (-1120 2604533 2604559 2604632 "SGROUP-" 2604637 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1119 2601324 2602022 2602745 "SGCF" 2603832 T SGCF (NIL) -7 NIL NIL NIL) (-1118 2595692 2600771 2600868 "SFRTCAT" 2600873 NIL SFRTCAT (NIL T T T T) -9 NIL 2600912 NIL) (-1117 2589113 2590131 2591267 "SFRGCD" 2594675 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1116 2582239 2583312 2584498 "SFQCMPK" 2588046 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1115 2581859 2581948 2582059 "SFORT" 2582180 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1114 2580977 2581699 2581820 "SEXOF" 2581825 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1113 2580084 2580858 2580926 "SEX" 2580931 T SEX (NIL) -8 NIL NIL NIL) (-1112 2575597 2576312 2576407 "SEXCAT" 2579344 NIL SEXCAT (NIL T T T T T) -9 NIL 2579922 NIL) (-1111 2572750 2575531 2575579 "SET" 2575584 NIL SET (NIL T) -8 NIL NIL NIL) (-1110 2570974 2571463 2571768 "SETMN" 2572491 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1109 2570470 2570622 2570652 "SETCAT" 2570828 T SETCAT (NIL) -9 NIL 2570938 NIL) (-1108 2570162 2570240 2570370 "SETCAT-" 2570375 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1107 2566523 2568623 2568666 "SETAGG" 2569536 NIL SETAGG (NIL T) -9 NIL 2569876 NIL) (-1106 2565981 2566097 2566334 "SETAGG-" 2566339 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1105 2565424 2565677 2565778 "SEQAST" 2565902 T SEQAST (NIL) -8 NIL NIL NIL) (-1104 2564623 2564917 2564978 "SEGXCAT" 2565264 NIL SEGXCAT (NIL T T) -9 NIL 2565384 NIL) (-1103 2563629 2564289 2564471 "SEG" 2564476 NIL SEG (NIL T) -8 NIL NIL NIL) (-1102 2562608 2562822 2562865 "SEGCAT" 2563387 NIL SEGCAT (NIL T) -9 NIL 2563608 NIL) (-1101 2561540 2561971 2562179 "SEGBIND" 2562435 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1100 2561161 2561220 2561333 "SEGBIND2" 2561475 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1099 2560734 2560962 2561039 "SEGAST" 2561106 T SEGAST (NIL) -8 NIL NIL NIL) (-1098 2559953 2560079 2560283 "SEG2" 2560578 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1097 2559363 2559888 2559935 "SDVAR" 2559940 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1096 2551890 2559133 2559263 "SDPOL" 2559268 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1095 2550483 2550749 2551068 "SCPKG" 2551605 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1094 2549647 2549819 2550011 "SCOPE" 2550313 T SCOPE (NIL) -8 NIL NIL NIL) (-1093 2548867 2549001 2549180 "SCACHE" 2549502 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1092 2548513 2548699 2548729 "SASTCAT" 2548734 T SASTCAT (NIL) -9 NIL 2548747 NIL) (-1091 2548000 2548348 2548424 "SAOS" 2548459 T SAOS (NIL) -8 NIL NIL NIL) (-1090 2547565 2547600 2547773 "SAERFFC" 2547959 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1089 2541504 2547462 2547542 "SAE" 2547547 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1088 2541097 2541132 2541291 "SAEFACT" 2541463 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1087 2539418 2539732 2540133 "RURPK" 2540763 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1086 2538055 2538361 2538666 "RULESET" 2539252 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1085 2535278 2535808 2536266 "RULE" 2537736 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1084 2534890 2535072 2535155 "RULECOLD" 2535230 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1083 2534680 2534708 2534779 "RTVALUE" 2534841 T RTVALUE (NIL) -8 NIL NIL NIL) (-1082 2534151 2534397 2534491 "RSTRCAST" 2534608 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1081 2528999 2529794 2530714 "RSETGCD" 2533350 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1080 2518229 2523308 2523405 "RSETCAT" 2527524 NIL RSETCAT (NIL T T T T) -9 NIL 2528621 NIL) (-1079 2516156 2516695 2517519 "RSETCAT-" 2517524 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1078 2508542 2509918 2511438 "RSDCMPK" 2514755 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1077 2506521 2506988 2507062 "RRCC" 2508148 NIL RRCC (NIL T T) -9 NIL 2508492 NIL) (-1076 2505872 2506046 2506325 "RRCC-" 2506330 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1075 2505315 2505568 2505669 "RPTAST" 2505793 T RPTAST (NIL) -8 NIL NIL NIL) (-1074 2479161 2488520 2488587 "RPOLCAT" 2499253 NIL RPOLCAT (NIL T T T) -9 NIL 2502413 NIL) (-1073 2470659 2472999 2476121 "RPOLCAT-" 2476126 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1072 2461590 2468870 2469352 "ROUTINE" 2470199 T ROUTINE (NIL) -8 NIL NIL NIL) (-1071 2458388 2461216 2461356 "ROMAN" 2461472 T ROMAN (NIL) -8 NIL NIL NIL) (-1070 2456632 2457248 2457508 "ROIRC" 2458193 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1069 2452864 2455148 2455178 "RNS" 2455482 T RNS (NIL) -9 NIL 2455756 NIL) (-1068 2451373 2451756 2452290 "RNS-" 2452365 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1067 2450776 2451184 2451214 "RNG" 2451219 T RNG (NIL) -9 NIL 2451240 NIL) (-1066 2449779 2450141 2450343 "RNGBIND" 2450627 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1065 2449178 2449566 2449609 "RMODULE" 2449614 NIL RMODULE (NIL T) -9 NIL 2449641 NIL) (-1064 2448014 2448108 2448444 "RMCAT2" 2449079 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1063 2444864 2447360 2447657 "RMATRIX" 2447776 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1062 2437691 2439951 2440066 "RMATCAT" 2443425 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2444407 NIL) (-1061 2437066 2437213 2437520 "RMATCAT-" 2437525 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1060 2436467 2436688 2436731 "RLINSET" 2436925 NIL RLINSET (NIL T) -9 NIL 2437016 NIL) (-1059 2436034 2436109 2436237 "RINTERP" 2436386 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1058 2435092 2435646 2435676 "RING" 2435732 T RING (NIL) -9 NIL 2435824 NIL) (-1057 2434884 2434928 2435025 "RING-" 2435030 NIL RING- (NIL T) -8 NIL NIL NIL) (-1056 2433725 2433962 2434220 "RIDIST" 2434648 T RIDIST (NIL) -7 NIL NIL NIL) (-1055 2425014 2433193 2433399 "RGCHAIN" 2433573 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1054 2424364 2424770 2424811 "RGBCSPC" 2424869 NIL RGBCSPC (NIL T) -9 NIL 2424921 NIL) (-1053 2423522 2423903 2423944 "RGBCMDL" 2424176 NIL RGBCMDL (NIL T) -9 NIL 2424290 NIL) (-1052 2420516 2421130 2421800 "RF" 2422886 NIL RF (NIL T) -7 NIL NIL NIL) (-1051 2420162 2420225 2420328 "RFFACTOR" 2420447 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1050 2419887 2419922 2420019 "RFFACT" 2420121 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1049 2418004 2418368 2418750 "RFDIST" 2419527 T RFDIST (NIL) -7 NIL NIL NIL) (-1048 2417457 2417549 2417712 "RETSOL" 2417906 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1047 2417093 2417173 2417216 "RETRACT" 2417349 NIL RETRACT (NIL T) -9 NIL 2417436 NIL) (-1046 2416942 2416967 2417054 "RETRACT-" 2417059 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1045 2416544 2416764 2416834 "RETAST" 2416894 T RETAST (NIL) -8 NIL NIL NIL) (-1044 2409282 2416197 2416324 "RESULT" 2416439 T RESULT (NIL) -8 NIL NIL NIL) (-1043 2407873 2408551 2408750 "RESRING" 2409185 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1042 2407509 2407558 2407656 "RESLATC" 2407810 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1041 2407214 2407249 2407356 "REPSQ" 2407468 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1040 2404636 2405216 2405818 "REP" 2406634 T REP (NIL) -7 NIL NIL NIL) (-1039 2404333 2404368 2404479 "REPDB" 2404595 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1038 2398233 2399622 2400845 "REP2" 2403145 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1037 2394610 2395291 2396099 "REP1" 2397460 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1036 2387306 2392751 2393207 "REGSET" 2394240 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1035 2386071 2386454 2386704 "REF" 2387091 NIL REF (NIL T) -8 NIL NIL NIL) (-1034 2385448 2385551 2385718 "REDORDER" 2385955 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1033 2381416 2384661 2384888 "RECLOS" 2385276 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1032 2380468 2380649 2380864 "REALSOLV" 2381223 T REALSOLV (NIL) -7 NIL NIL NIL) (-1031 2380314 2380355 2380385 "REAL" 2380390 T REAL (NIL) -9 NIL 2380425 NIL) (-1030 2376797 2377599 2378483 "REAL0Q" 2379479 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1029 2372398 2373386 2374447 "REAL0" 2375778 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1028 2371869 2372115 2372209 "RDUCEAST" 2372326 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1027 2371274 2371346 2371553 "RDIV" 2371791 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1026 2370342 2370516 2370729 "RDIST" 2371096 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1025 2368939 2369226 2369598 "RDETRS" 2370050 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1024 2366751 2367205 2367743 "RDETR" 2368481 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1023 2365376 2365654 2366051 "RDEEFS" 2366467 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1022 2363885 2364191 2364616 "RDEEF" 2365064 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1021 2357946 2360866 2360896 "RCFIELD" 2362191 T RCFIELD (NIL) -9 NIL 2362922 NIL) (-1020 2356010 2356514 2357210 "RCFIELD-" 2357285 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1019 2352279 2354111 2354154 "RCAGG" 2355238 NIL RCAGG (NIL T) -9 NIL 2355703 NIL) (-1018 2351907 2352001 2352164 "RCAGG-" 2352169 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1017 2351242 2351354 2351519 "RATRET" 2351791 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1016 2350795 2350862 2350983 "RATFACT" 2351170 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1015 2350103 2350223 2350375 "RANDSRC" 2350665 T RANDSRC (NIL) -7 NIL NIL NIL) (-1014 2349837 2349881 2349954 "RADUTIL" 2350052 T RADUTIL (NIL) -7 NIL NIL NIL) (-1013 2342951 2348668 2348979 "RADIX" 2349560 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1012 2334570 2342793 2342923 "RADFF" 2342928 NIL RADFF (NIL T T T NIL NIL) -8 NIL 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-9 NIL 1990240 NIL) (-857 1981693 1982475 1983533 "OREPCAT-" 1983538 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-856 1980844 1981142 1981170 "ORDSET" 1981479 T ORDSET (NIL) -9 NIL 1981643 NIL) (-855 1980275 1980423 1980647 "ORDSET-" 1980652 NIL ORDSET- (NIL T) -8 NIL NIL NIL) (-854 1978840 1979631 1979659 "ORDRING" 1979861 T ORDRING (NIL) -9 NIL 1979986 NIL) (-853 1978485 1978579 1978723 "ORDRING-" 1978728 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-852 1977865 1978328 1978356 "ORDMON" 1978361 T ORDMON (NIL) -9 NIL 1978382 NIL) (-851 1977027 1977174 1977369 "ORDFUNS" 1977714 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-850 1976365 1976784 1976812 "ORDFIN" 1976877 T ORDFIN (NIL) -9 NIL 1976951 NIL) (-849 1972924 1974951 1975360 "ORDCOMP" 1975989 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-848 1972190 1972317 1972503 "ORDCOMP2" 1972784 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-847 1968771 1969681 1970495 "OPTPROB" 1971396 T OPTPROB (NIL) -8 NIL NIL NIL) (-846 1965573 1966212 1966916 "OPTPACK" 1968087 T OPTPACK (NIL) -7 NIL NIL NIL) (-845 1963260 1964026 1964054 "OPTCAT" 1964873 T OPTCAT (NIL) -9 NIL 1965523 NIL) (-844 1962644 1962937 1963042 "OPSIG" 1963175 T OPSIG (NIL) -8 NIL NIL NIL) (-843 1962412 1962451 1962517 "OPQUERY" 1962598 T OPQUERY (NIL) -7 NIL NIL NIL) (-842 1959543 1960723 1961227 "OP" 1961941 NIL OP (NIL T) -8 NIL NIL NIL) (-841 1958917 1959143 1959184 "OPERCAT" 1959396 NIL OPERCAT (NIL T) -9 NIL 1959493 NIL) (-840 1958672 1958728 1958845 "OPERCAT-" 1958850 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-839 1955485 1957469 1957838 "ONECOMP" 1958336 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-838 1954790 1954905 1955079 "ONECOMP2" 1955357 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-837 1954209 1954315 1954445 "OMSERVER" 1954680 T OMSERVER (NIL) -7 NIL NIL NIL) (-836 1951071 1953649 1953689 "OMSAGG" 1953750 NIL OMSAGG (NIL T) -9 NIL 1953814 NIL) (-835 1949694 1949957 1950239 "OMPKG" 1950809 T OMPKG (NIL) -7 NIL NIL NIL) (-834 1949124 1949227 1949255 "OM" 1949554 T OM (NIL) -9 NIL NIL NIL) (-833 1947671 1948673 1948842 "OMLO" 1949005 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-832 1946631 1946778 1946998 "OMEXPR" 1947497 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-831 1945922 1946177 1946313 "OMERR" 1946515 T OMERR (NIL) -8 NIL NIL NIL) (-830 1945073 1945343 1945503 "OMERRK" 1945782 T OMERRK (NIL) -8 NIL NIL NIL) (-829 1944524 1944750 1944858 "OMENC" 1944985 T OMENC (NIL) -8 NIL NIL NIL) (-828 1938419 1939604 1940775 "OMDEV" 1943373 T OMDEV (NIL) -8 NIL NIL NIL) (-827 1937488 1937659 1937853 "OMCONN" 1938245 T OMCONN (NIL) -8 NIL NIL NIL) (-826 1936009 1936985 1937013 "OINTDOM" 1937018 T OINTDOM (NIL) -9 NIL 1937039 NIL) (-825 1933347 1934697 1935034 "OFMONOID" 1935704 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-824 1932758 1933284 1933329 "ODVAR" 1933334 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-823 1930181 1932503 1932658 "ODR" 1932663 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-822 1922762 1929957 1930083 "ODPOL" 1930088 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-821 1916584 1922634 1922739 "ODP" 1922744 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-820 1915350 1915565 1915840 "ODETOOLS" 1916358 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-819 1912317 1912975 1913691 "ODESYS" 1914683 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-818 1907199 1908107 1909132 "ODERTRIC" 1911392 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-817 1906625 1906707 1906901 "ODERED" 1907111 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-816 1903513 1904061 1904738 "ODERAT" 1906048 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-815 1900472 1900937 1901534 "ODEPRRIC" 1903042 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-814 1898415 1899011 1899497 "ODEPROB" 1900006 T ODEPROB (NIL) -8 NIL NIL NIL) (-813 1894935 1895420 1896067 "ODEPRIM" 1897894 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-812 1894184 1894286 1894546 "ODEPAL" 1894827 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-811 1890346 1891137 1892001 "ODEPACK" 1893340 T ODEPACK (NIL) -7 NIL NIL NIL) (-810 1889407 1889514 1889736 "ODEINT" 1890235 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-809 1883508 1884933 1886380 "ODEIFTBL" 1887980 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-808 1878906 1879692 1880644 "ODEEF" 1882667 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-807 1878255 1878344 1878567 "ODECONST" 1878811 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-806 1876380 1877041 1877069 "ODECAT" 1877674 T ODECAT (NIL) -9 NIL 1878205 NIL) (-805 1873235 1876085 1876207 "OCT" 1876290 NIL OCT (NIL T) -8 NIL NIL NIL) (-804 1872873 1872916 1873043 "OCTCT2" 1873186 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-803 1867522 1869957 1869997 "OC" 1871094 NIL OC (NIL T) -9 NIL 1871952 NIL) (-802 1864749 1865497 1866487 "OC-" 1866581 NIL OC- (NIL T T) -8 NIL NIL NIL) (-801 1864101 1864569 1864597 "OCAMON" 1864602 T OCAMON (NIL) -9 NIL 1864623 NIL) (-800 1863632 1863973 1864001 "OASGP" 1864006 T OASGP (NIL) -9 NIL 1864026 NIL) (-799 1862893 1863382 1863410 "OAMONS" 1863450 T OAMONS (NIL) -9 NIL 1863493 NIL) (-798 1862307 1862740 1862768 "OAMON" 1862773 T OAMON (NIL) -9 NIL 1862793 NIL) (-797 1861565 1862083 1862111 "OAGROUP" 1862116 T OAGROUP (NIL) -9 NIL 1862136 NIL) (-796 1861255 1861305 1861393 "NUMTUBE" 1861509 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-795 1854828 1856346 1857882 "NUMQUAD" 1859739 T NUMQUAD (NIL) -7 NIL NIL NIL) (-794 1850584 1851572 1852597 "NUMODE" 1853823 T NUMODE (NIL) -7 NIL NIL NIL) (-793 1847939 1848819 1848847 "NUMINT" 1849770 T NUMINT (NIL) -9 NIL 1850534 NIL) (-792 1846887 1847084 1847302 "NUMFMT" 1847741 T NUMFMT (NIL) -7 NIL NIL NIL) (-791 1833246 1836191 1838723 "NUMERIC" 1844394 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-790 1827616 1832695 1832790 "NTSCAT" 1832795 NIL NTSCAT (NIL T T T T) -9 NIL 1832834 NIL) (-789 1826810 1826975 1827168 "NTPOLFN" 1827455 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-788 1814887 1823635 1824447 "NSUP" 1826031 NIL NSUP (NIL T) -8 NIL NIL NIL) (-787 1814519 1814576 1814685 "NSUP2" 1814824 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-786 1804745 1814293 1814426 "NSMP" 1814431 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-785 1803177 1803478 1803835 "NREP" 1804433 NIL NREP (NIL T) -7 NIL NIL NIL) (-784 1801768 1802020 1802378 "NPCOEF" 1802920 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-783 1800834 1800949 1801165 "NORMRETR" 1801649 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-782 1798875 1799165 1799574 "NORMPK" 1800542 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-781 1798560 1798588 1798712 "NORMMA" 1798841 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-780 1798360 1798517 1798546 "NONE" 1798551 T NONE (NIL) -8 NIL NIL NIL) (-779 1798149 1798178 1798247 "NONE1" 1798324 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-778 1797646 1797708 1797887 "NODE1" 1798081 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-777 1795931 1796782 1797037 "NNI" 1797384 T NNI (NIL) -8 NIL NIL 1797619) (-776 1794351 1794664 1795028 "NLINSOL" 1795599 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-775 1790592 1791587 1792486 "NIPROB" 1793472 T NIPROB (NIL) -8 NIL NIL NIL) (-774 1789349 1789583 1789885 "NFINTBAS" 1790354 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-773 1788523 1788999 1789040 "NETCLT" 1789212 NIL NETCLT (NIL T) -9 NIL 1789294 NIL) (-772 1787231 1787462 1787743 "NCODIV" 1788291 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-771 1786993 1787030 1787105 "NCNTFRAC" 1787188 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-770 1785173 1785537 1785957 "NCEP" 1786618 NIL NCEP (NIL T) -7 NIL NIL NIL) (-769 1784024 1784797 1784825 "NASRING" 1784935 T NASRING (NIL) -9 NIL 1785015 NIL) (-768 1783819 1783863 1783957 "NASRING-" 1783962 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-767 1782926 1783451 1783479 "NARNG" 1783596 T NARNG (NIL) -9 NIL 1783687 NIL) (-766 1782618 1782685 1782819 "NARNG-" 1782824 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-765 1781497 1781704 1781939 "NAGSP" 1782403 T NAGSP (NIL) -7 NIL NIL NIL) (-764 1772769 1774453 1776126 "NAGS" 1779844 T NAGS (NIL) -7 NIL NIL NIL) (-763 1771317 1771625 1771956 "NAGF07" 1772458 T NAGF07 (NIL) -7 NIL NIL NIL) (-762 1765855 1767146 1768453 "NAGF04" 1770030 T NAGF04 (NIL) -7 NIL NIL NIL) (-761 1758823 1760437 1762070 "NAGF02" 1764242 T NAGF02 (NIL) -7 NIL NIL NIL) (-760 1754047 1755147 1756264 "NAGF01" 1757726 T NAGF01 (NIL) -7 NIL NIL NIL) (-759 1747675 1749241 1750826 "NAGE04" 1752482 T NAGE04 (NIL) -7 NIL NIL NIL) (-758 1738844 1740965 1743095 "NAGE02" 1745565 T NAGE02 (NIL) -7 NIL NIL NIL) (-757 1734797 1735744 1736708 "NAGE01" 1737900 T NAGE01 (NIL) -7 NIL NIL NIL) (-756 1732592 1733126 1733684 "NAGD03" 1734259 T NAGD03 (NIL) -7 NIL NIL NIL) (-755 1724342 1726270 1728224 "NAGD02" 1730658 T NAGD02 (NIL) -7 NIL NIL NIL) (-754 1718153 1719578 1721018 "NAGD01" 1722922 T NAGD01 (NIL) -7 NIL NIL NIL) (-753 1714362 1715184 1716021 "NAGC06" 1717336 T NAGC06 (NIL) -7 NIL NIL NIL) (-752 1712827 1713159 1713515 "NAGC05" 1714026 T NAGC05 (NIL) -7 NIL NIL NIL) (-751 1712203 1712322 1712466 "NAGC02" 1712703 T NAGC02 (NIL) -7 NIL NIL NIL) (-750 1711162 1711745 1711785 "NAALG" 1711864 NIL NAALG (NIL T) -9 NIL 1711925 NIL) (-749 1710997 1711026 1711116 "NAALG-" 1711121 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-748 1704947 1706055 1707242 "MULTSQFR" 1709893 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-747 1704266 1704341 1704525 "MULTFACT" 1704859 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-746 1696990 1700903 1700956 "MTSCAT" 1702026 NIL MTSCAT (NIL T T) -9 NIL 1702541 NIL) (-745 1696702 1696756 1696848 "MTHING" 1696930 NIL MTHING (NIL T) -7 NIL NIL NIL) (-744 1696494 1696527 1696587 "MSYSCMD" 1696662 T MSYSCMD (NIL) -7 NIL NIL NIL) (-743 1692576 1695249 1695569 "MSET" 1696207 NIL MSET (NIL T) -8 NIL NIL NIL) (-742 1689645 1692137 1692178 "MSETAGG" 1692183 NIL MSETAGG (NIL T) -9 NIL 1692217 NIL) (-741 1685487 1687024 1687769 "MRING" 1688945 NIL MRING (NIL T T) -8 NIL NIL NIL) (-740 1685053 1685120 1685251 "MRF2" 1685414 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-739 1684671 1684706 1684850 "MRATFAC" 1685012 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-738 1682283 1682578 1683009 "MPRFF" 1684376 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-737 1676580 1682137 1682234 "MPOLY" 1682239 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-736 1676070 1676105 1676313 "MPCPF" 1676539 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-735 1675584 1675627 1675811 "MPC3" 1676021 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-734 1674779 1674860 1675081 "MPC2" 1675499 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-733 1673080 1673417 1673807 "MONOTOOL" 1674439 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-732 1672305 1672622 1672650 "MONOID" 1672869 T MONOID (NIL) -9 NIL 1673016 NIL) (-731 1671851 1671970 1672151 "MONOID-" 1672156 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-730 1662326 1668277 1668336 "MONOGEN" 1669010 NIL MONOGEN (NIL T T) -9 NIL 1669466 NIL) (-729 1659544 1660279 1661279 "MONOGEN-" 1661398 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-728 1658377 1658823 1658851 "MONADWU" 1659243 T MONADWU (NIL) -9 NIL 1659481 NIL) (-727 1657749 1657908 1658156 "MONADWU-" 1658161 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-726 1657108 1657352 1657380 "MONAD" 1657587 T MONAD (NIL) -9 NIL 1657699 NIL) (-725 1656793 1656871 1657003 "MONAD-" 1657008 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-724 1655082 1655706 1655985 "MOEBIUS" 1656546 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-723 1654360 1654764 1654804 "MODULE" 1654809 NIL MODULE (NIL T) -9 NIL 1654848 NIL) (-722 1653928 1654024 1654214 "MODULE-" 1654219 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-721 1651608 1652292 1652619 "MODRING" 1653752 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-720 1648552 1649713 1650234 "MODOP" 1651137 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-719 1647140 1647619 1647896 "MODMONOM" 1648415 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-718 1637184 1645431 1645845 "MODMON" 1646777 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-717 1634340 1636028 1636304 "MODFIELD" 1637059 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-716 1633317 1633621 1633811 "MMLFORM" 1634170 T MMLFORM (NIL) -8 NIL NIL NIL) (-715 1632843 1632886 1633065 "MMAP" 1633268 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-714 1630922 1631689 1631730 "MLO" 1632153 NIL MLO (NIL T) -9 NIL 1632395 NIL) (-713 1628288 1628804 1629406 "MLIFT" 1630403 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-712 1627679 1627763 1627917 "MKUCFUNC" 1628199 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-711 1627278 1627348 1627471 "MKRECORD" 1627602 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-710 1626325 1626487 1626715 "MKFUNC" 1627089 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-709 1625713 1625817 1625973 "MKFLCFN" 1626208 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-708 1624990 1625092 1625277 "MKBCFUNC" 1625606 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-707 1621697 1624544 1624680 "MINT" 1624874 T MINT (NIL) -8 NIL NIL NIL) (-706 1620509 1620752 1621029 "MHROWRED" 1621452 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-705 1615889 1619044 1619449 "MFLOAT" 1620124 T MFLOAT (NIL) -8 NIL NIL NIL) (-704 1615246 1615322 1615493 "MFINFACT" 1615801 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-703 1611561 1612409 1613293 "MESH" 1614382 T MESH (NIL) -7 NIL NIL NIL) (-702 1609951 1610263 1610616 "MDDFACT" 1611248 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-701 1606746 1609110 1609151 "MDAGG" 1609406 NIL MDAGG (NIL T) -9 NIL 1609549 NIL) (-700 1596486 1606039 1606246 "MCMPLX" 1606559 T MCMPLX (NIL) -8 NIL NIL NIL) (-699 1595623 1595769 1595970 "MCDEN" 1596335 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-698 1593513 1593783 1594163 "MCALCFN" 1595353 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-697 1592438 1592678 1592911 "MAYBE" 1593319 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-696 1590050 1590573 1591135 "MATSTOR" 1591909 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-695 1586007 1589422 1589670 "MATRIX" 1589835 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-694 1581773 1582480 1583216 "MATLIN" 1585364 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-693 1571879 1575065 1575142 "MATCAT" 1580022 NIL MATCAT (NIL T T T) -9 NIL 1581439 NIL) (-692 1568235 1569256 1570612 "MATCAT-" 1570617 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-691 1566829 1566982 1567315 "MATCAT2" 1568070 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-690 1564941 1565265 1565649 "MAPPKG3" 1566504 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-689 1563922 1564095 1564317 "MAPPKG2" 1564765 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-688 1562421 1562705 1563032 "MAPPKG1" 1563628 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-687 1561500 1561827 1562004 "MAPPAST" 1562264 T MAPPAST (NIL) -8 NIL NIL NIL) (-686 1561111 1561169 1561292 "MAPHACK3" 1561436 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-685 1560703 1560764 1560878 "MAPHACK2" 1561043 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-684 1560141 1560244 1560386 "MAPHACK1" 1560594 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-683 1558220 1558841 1559145 "MAGMA" 1559869 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-682 1557699 1557944 1558035 "MACROAST" 1558149 T MACROAST (NIL) -8 NIL NIL NIL) (-681 1554117 1555938 1556399 "M3D" 1557271 NIL M3D (NIL T) -8 NIL NIL NIL) (-680 1548223 1552486 1552527 "LZSTAGG" 1553309 NIL LZSTAGG (NIL T) -9 NIL 1553604 NIL) (-679 1544181 1545354 1546811 "LZSTAGG-" 1546816 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-678 1541268 1542072 1542559 "LWORD" 1543726 NIL LWORD (NIL T) -8 NIL NIL NIL) (-677 1540844 1541072 1541147 "LSTAST" 1541213 T LSTAST (NIL) -8 NIL NIL NIL) (-676 1534010 1540615 1540749 "LSQM" 1540754 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-675 1533234 1533373 1533601 "LSPP" 1533865 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-674 1531046 1531347 1531803 "LSMP" 1532923 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-673 1527825 1528499 1529229 "LSMP1" 1530348 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-672 1521702 1526992 1527033 "LSAGG" 1527095 NIL LSAGG (NIL T) -9 NIL 1527173 NIL) (-671 1518397 1519321 1520534 "LSAGG-" 1520539 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-670 1515996 1517541 1517790 "LPOLY" 1518192 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-669 1515578 1515663 1515786 "LPEFRAC" 1515905 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-668 1513899 1514672 1514925 "LO" 1515410 NIL LO (NIL T T T) -8 NIL NIL NIL) (-667 1513551 1513663 1513691 "LOGIC" 1513802 T LOGIC (NIL) -9 NIL 1513883 NIL) (-666 1513413 1513436 1513507 "LOGIC-" 1513512 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-665 1512606 1512746 1512939 "LODOOPS" 1513269 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-664 1510029 1512522 1512588 "LODO" 1512593 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-663 1508567 1508802 1509155 "LODOF" 1509776 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-662 1504785 1507216 1507257 "LODOCAT" 1507695 NIL LODOCAT (NIL T) -9 NIL 1507906 NIL) (-661 1504518 1504576 1504703 "LODOCAT-" 1504708 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-660 1501838 1504359 1504477 "LODO2" 1504482 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-659 1499273 1501775 1501820 "LODO1" 1501825 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-658 1498154 1498319 1498624 "LODEEF" 1499096 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-657 1493393 1496284 1496325 "LNAGG" 1497272 NIL LNAGG (NIL T) -9 NIL 1497716 NIL) (-656 1492540 1492754 1493096 "LNAGG-" 1493101 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-655 1488676 1489465 1490104 "LMOPS" 1491955 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-654 1488079 1488467 1488508 "LMODULE" 1488513 NIL LMODULE (NIL T) -9 NIL 1488539 NIL) (-653 1485277 1487724 1487847 "LMDICT" 1487989 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-652 1484683 1484904 1484945 "LLINSET" 1485136 NIL LLINSET (NIL T) -9 NIL 1485227 NIL) (-651 1484382 1484591 1484651 "LITERAL" 1484656 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-650 1477545 1483316 1483620 "LIST" 1484111 NIL LIST (NIL T) -8 NIL NIL NIL) (-649 1477070 1477144 1477283 "LIST3" 1477465 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-648 1476077 1476255 1476483 "LIST2" 1476888 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-647 1474211 1474523 1474922 "LIST2MAP" 1475724 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-646 1473807 1474044 1474085 "LINSET" 1474090 NIL LINSET (NIL T) -9 NIL 1474124 NIL) (-645 1472468 1473138 1473179 "LINEXP" 1473434 NIL LINEXP (NIL T) -9 NIL 1473583 NIL) (-644 1471115 1471375 1471672 "LINDEP" 1472220 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-643 1467882 1468601 1469378 "LIMITRF" 1470370 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-642 1466185 1466481 1466890 "LIMITPS" 1467577 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-641 1460613 1465696 1465924 "LIE" 1466006 NIL LIE (NIL T T) -8 NIL NIL NIL) (-640 1459561 1460030 1460070 "LIECAT" 1460210 NIL LIECAT (NIL T) -9 NIL 1460361 NIL) (-639 1459402 1459429 1459517 "LIECAT-" 1459522 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-638 1451898 1458851 1459016 "LIB" 1459257 T LIB (NIL) -8 NIL NIL NIL) (-637 1447533 1448416 1449351 "LGROBP" 1451015 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-636 1445531 1445805 1446155 "LF" 1447254 NIL LF (NIL T T) -7 NIL NIL NIL) (-635 1444371 1445063 1445091 "LFCAT" 1445298 T LFCAT (NIL) -9 NIL 1445437 NIL) (-634 1441273 1441903 1442591 "LEXTRIPK" 1443735 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-633 1438017 1438843 1439346 "LEXP" 1440853 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-632 1437493 1437738 1437830 "LETAST" 1437945 T LETAST (NIL) -8 NIL NIL NIL) (-631 1435891 1436204 1436605 "LEADCDET" 1437175 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-630 1435081 1435155 1435384 "LAZM3PK" 1435812 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-629 1429998 1433158 1433696 "LAUPOL" 1434593 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-628 1429577 1429621 1429782 "LAPLACE" 1429948 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-627 1427516 1428678 1428929 "LA" 1429410 NIL LA (NIL T T T) -8 NIL NIL NIL) (-626 1426510 1427094 1427135 "LALG" 1427197 NIL LALG (NIL T) -9 NIL 1427256 NIL) (-625 1426224 1426283 1426419 "LALG-" 1426424 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-624 1426059 1426083 1426124 "KVTFROM" 1426186 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-623 1424982 1425426 1425611 "KTVLOGIC" 1425894 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-622 1424817 1424841 1424882 "KRCFROM" 1424944 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-621 1423721 1423908 1424207 "KOVACIC" 1424617 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-620 1423556 1423580 1423621 "KONVERT" 1423683 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-619 1423391 1423415 1423456 "KOERCE" 1423518 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-618 1421221 1421984 1422361 "KERNEL" 1423047 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-617 1420717 1420798 1420930 "KERNEL2" 1421135 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-616 1414487 1419256 1419310 "KDAGG" 1419687 NIL KDAGG (NIL T T) -9 NIL 1419893 NIL) (-615 1414016 1414140 1414345 "KDAGG-" 1414350 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-614 1407164 1413677 1413832 "KAFILE" 1413894 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-613 1401592 1406675 1406903 "JORDAN" 1406985 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-612 1400971 1401241 1401362 "JOINAST" 1401491 T JOINAST (NIL) -8 NIL NIL NIL) (-611 1400817 1400876 1400931 "JAVACODE" 1400936 T JAVACODE (NIL) -8 NIL NIL NIL) (-610 1397069 1399022 1399076 "IXAGG" 1400005 NIL IXAGG (NIL T T) -9 NIL 1400464 NIL) (-609 1395988 1396294 1396713 "IXAGG-" 1396718 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-608 1391518 1395910 1395969 "IVECTOR" 1395974 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-607 1390284 1390521 1390787 "ITUPLE" 1391285 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-606 1388786 1388963 1389258 "ITRIGMNP" 1390106 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-605 1387531 1387735 1388018 "ITFUN3" 1388562 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-604 1387163 1387220 1387329 "ITFUN2" 1387468 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-603 1386322 1386643 1386817 "ITFORM" 1387009 T ITFORM (NIL) -8 NIL NIL NIL) (-602 1384283 1385342 1385620 "ITAYLOR" 1386077 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-601 1373228 1378420 1379583 "ISUPS" 1383153 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-600 1372332 1372472 1372708 "ISUMP" 1373075 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-599 1367707 1372277 1372318 "ISTRING" 1372323 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-598 1367183 1367428 1367520 "ISAST" 1367635 T ISAST (NIL) -8 NIL NIL NIL) (-597 1366392 1366474 1366690 "IRURPK" 1367097 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-596 1365328 1365529 1365769 "IRSN" 1366172 T IRSN (NIL) -7 NIL NIL NIL) (-595 1363399 1363754 1364183 "IRRF2F" 1364966 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-594 1363146 1363184 1363260 "IRREDFFX" 1363355 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-593 1361761 1362020 1362319 "IROOT" 1362879 NIL IROOT (NIL T) -7 NIL NIL NIL) (-592 1358365 1359445 1360137 "IR" 1361101 NIL IR (NIL T) -8 NIL NIL NIL) (-591 1357570 1357858 1358009 "IRFORM" 1358234 T IRFORM (NIL) -8 NIL NIL NIL) (-590 1355183 1355678 1356244 "IR2" 1357048 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-589 1354283 1354396 1354610 "IR2F" 1355066 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-588 1354074 1354108 1354168 "IPRNTPK" 1354243 T IPRNTPK (NIL) -7 NIL NIL NIL) (-587 1350655 1353963 1354032 "IPF" 1354037 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-586 1348982 1350580 1350637 "IPADIC" 1350642 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-585 1348294 1348542 1348672 "IP4ADDR" 1348872 T IP4ADDR (NIL) -8 NIL NIL NIL) (-584 1347668 1347923 1348055 "IOMODE" 1348182 T IOMODE (NIL) -8 NIL NIL NIL) (-583 1346741 1347265 1347392 "IOBFILE" 1347561 T IOBFILE (NIL) -8 NIL NIL NIL) (-582 1346229 1346645 1346673 "IOBCON" 1346678 T IOBCON (NIL) -9 NIL 1346699 NIL) (-581 1345740 1345798 1345981 "INVLAPLA" 1346165 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-580 1335388 1337742 1340128 "INTTR" 1343404 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-579 1331723 1332465 1333330 "INTTOOLS" 1334573 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-578 1331309 1331400 1331517 "INTSLPE" 1331626 T INTSLPE (NIL) -7 NIL NIL NIL) (-577 1329262 1331232 1331291 "INTRVL" 1331296 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-576 1326864 1327376 1327951 "INTRF" 1328747 NIL INTRF (NIL T) -7 NIL NIL NIL) (-575 1326275 1326372 1326514 "INTRET" 1326762 NIL INTRET (NIL T) -7 NIL NIL NIL) (-574 1324272 1324661 1325131 "INTRAT" 1325883 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-573 1321535 1322118 1322737 "INTPM" 1323757 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-572 1318280 1318879 1319617 "INTPAF" 1320921 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-571 1313459 1314421 1315472 "INTPACK" 1317249 T INTPACK (NIL) -7 NIL NIL NIL) (-570 1310407 1313256 1313365 "INT" 1313370 T INT (NIL) -8 NIL NIL NIL) (-569 1309659 1309811 1310019 "INTHERTR" 1310249 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-568 1309098 1309178 1309366 "INTHERAL" 1309573 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-567 1306944 1307387 1307844 "INTHEORY" 1308661 T INTHEORY (NIL) -7 NIL NIL NIL) (-566 1298350 1299971 1301743 "INTG0" 1305296 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-565 1278923 1283713 1288523 "INTFTBL" 1293560 T INTFTBL (NIL) -8 NIL NIL NIL) (-564 1278172 1278310 1278483 "INTFACT" 1278782 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-563 1275599 1276045 1276602 "INTEF" 1277726 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-562 1273966 1274705 1274733 "INTDOM" 1275034 T INTDOM (NIL) -9 NIL 1275241 NIL) (-561 1273335 1273509 1273751 "INTDOM-" 1273756 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-560 1269723 1271651 1271705 "INTCAT" 1272504 NIL INTCAT (NIL T) -9 NIL 1272825 NIL) (-559 1269195 1269298 1269426 "INTBIT" 1269615 T INTBIT (NIL) -7 NIL NIL NIL) (-558 1267894 1268048 1268355 "INTALG" 1269040 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-557 1267377 1267467 1267624 "INTAF" 1267798 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-556 1260720 1267187 1267327 "INTABL" 1267332 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-555 1260061 1260527 1260592 "INT8" 1260626 T INT8 (NIL) -8 NIL NIL 1260671) (-554 1259401 1259867 1259932 "INT64" 1259966 T INT64 (NIL) -8 NIL NIL 1260011) (-553 1258741 1259207 1259272 "INT32" 1259306 T INT32 (NIL) -8 NIL NIL 1259351) (-552 1258081 1258547 1258612 "INT16" 1258646 T INT16 (NIL) -8 NIL NIL 1258691) (-551 1252991 1255704 1255732 "INS" 1256666 T INS (NIL) -9 NIL 1257331 NIL) (-550 1250231 1251002 1251976 "INS-" 1252049 NIL INS- (NIL T) -8 NIL NIL NIL) (-549 1249006 1249233 1249531 "INPSIGN" 1249984 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-548 1248124 1248241 1248438 "INPRODPF" 1248886 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-547 1247018 1247135 1247372 "INPRODFF" 1248004 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-546 1246018 1246170 1246430 "INNMFACT" 1246854 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-545 1245215 1245312 1245500 "INMODGCD" 1245917 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-544 1243723 1243968 1244292 "INFSP" 1244960 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-543 1242907 1243024 1243207 "INFPROD0" 1243603 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-542 1239762 1240972 1241487 "INFORM" 1242400 T INFORM (NIL) -8 NIL NIL NIL) (-541 1239372 1239432 1239530 "INFORM1" 1239697 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-540 1238895 1238984 1239098 "INFINITY" 1239278 T INFINITY (NIL) -7 NIL NIL NIL) (-539 1238071 1238615 1238716 "INETCLTS" 1238814 T INETCLTS (NIL) -8 NIL NIL NIL) (-538 1236687 1236937 1237258 "INEP" 1237819 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-537 1235936 1236584 1236649 "INDE" 1236654 NIL INDE (NIL T) -8 NIL NIL NIL) (-536 1235500 1235568 1235685 "INCRMAPS" 1235863 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-535 1234318 1234769 1234975 "INBFILE" 1235314 T INBFILE (NIL) -8 NIL NIL NIL) (-534 1229617 1230554 1231498 "INBFF" 1233406 NIL INBFF (NIL T) -7 NIL NIL NIL) (-533 1228525 1228794 1228822 "INBCON" 1229335 T INBCON (NIL) -9 NIL 1229601 NIL) (-532 1227777 1228000 1228276 "INBCON-" 1228281 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-531 1227256 1227501 1227592 "INAST" 1227706 T INAST (NIL) -8 NIL NIL NIL) (-530 1226683 1226935 1227041 "IMPTAST" 1227170 T IMPTAST (NIL) -8 NIL NIL NIL) (-529 1223129 1226527 1226631 "IMATRIX" 1226636 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-528 1221837 1221960 1222276 "IMATQF" 1222985 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-527 1220057 1220284 1220621 "IMATLIN" 1221593 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-526 1214635 1219981 1220039 "ILIST" 1220044 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-525 1212540 1214495 1214608 "IIARRAY2" 1214613 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-524 1207938 1212451 1212515 "IFF" 1212520 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-523 1207285 1207555 1207671 "IFAST" 1207842 T IFAST (NIL) -8 NIL NIL NIL) (-522 1202280 1206577 1206765 "IFARRAY" 1207142 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-521 1201460 1202184 1202257 "IFAMON" 1202262 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-520 1201044 1201109 1201163 "IEVALAB" 1201370 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-519 1200719 1200787 1200947 "IEVALAB-" 1200952 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-518 1200350 1200633 1200696 "IDPO" 1200701 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-517 1199600 1200239 1200314 "IDPOAMS" 1200319 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-516 1198907 1199489 1199564 "IDPOAM" 1199569 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-515 1197966 1198242 1198295 "IDPC" 1198708 NIL IDPC (NIL T T) -9 NIL 1198857 NIL) (-514 1197435 1197858 1197931 "IDPAM" 1197936 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-513 1196811 1197327 1197400 "IDPAG" 1197405 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-512 1196456 1196647 1196722 "IDENT" 1196756 T IDENT (NIL) -8 NIL NIL NIL) (-511 1192711 1193559 1194454 "IDECOMP" 1195613 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-510 1185549 1186634 1187681 "IDEAL" 1191747 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-509 1184709 1184821 1185021 "ICDEN" 1185433 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-508 1183780 1184189 1184336 "ICARD" 1184582 T ICARD (NIL) -8 NIL NIL NIL) (-507 1181840 1182153 1182558 "IBPTOOLS" 1183457 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-506 1177447 1181460 1181573 "IBITS" 1181759 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-505 1174170 1174746 1175441 "IBATOOL" 1176864 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-504 1171949 1172411 1172944 "IBACHIN" 1173705 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-503 1169778 1171795 1171898 "IARRAY2" 1171903 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-502 1165884 1169704 1169761 "IARRAY1" 1169766 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-501 1159993 1164296 1164777 "IAN" 1165423 T IAN (NIL) -8 NIL NIL NIL) (-500 1159504 1159561 1159734 "IALGFACT" 1159930 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-499 1159032 1159145 1159173 "HYPCAT" 1159380 T HYPCAT (NIL) -9 NIL NIL NIL) (-498 1158570 1158687 1158873 "HYPCAT-" 1158878 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-497 1158165 1158365 1158448 "HOSTNAME" 1158507 T HOSTNAME (NIL) -8 NIL NIL NIL) (-496 1158010 1158047 1158088 "HOMOTOP" 1158093 NIL HOMOTOP (NIL T) -9 NIL 1158126 NIL) (-495 1154642 1156020 1156061 "HOAGG" 1157042 NIL HOAGG (NIL T) -9 NIL 1157721 NIL) (-494 1153236 1153635 1154161 "HOAGG-" 1154166 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-493 1147238 1152829 1152979 "HEXADEC" 1153106 T HEXADEC (NIL) -8 NIL NIL NIL) (-492 1145986 1146208 1146471 "HEUGCD" 1147015 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-491 1145062 1145823 1145953 "HELLFDIV" 1145958 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-490 1143241 1144839 1144927 "HEAP" 1145006 NIL HEAP (NIL T) -8 NIL NIL NIL) (-489 1142504 1142793 1142927 "HEADAST" 1143127 T HEADAST (NIL) -8 NIL NIL NIL) (-488 1136370 1142419 1142481 "HDP" 1142486 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-487 1130358 1136005 1136157 "HDMP" 1136271 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-486 1129682 1129822 1129986 "HB" 1130214 T HB (NIL) -7 NIL NIL NIL) (-485 1123068 1129528 1129632 "HASHTBL" 1129637 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-484 1122544 1122789 1122881 "HASAST" 1122996 T HASAST (NIL) -8 NIL NIL NIL) (-483 1120322 1122166 1122348 "HACKPI" 1122382 T HACKPI (NIL) -8 NIL NIL NIL) (-482 1115990 1120175 1120288 "GTSET" 1120293 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-481 1109405 1115868 1115966 "GSTBL" 1115971 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-480 1101683 1108436 1108701 "GSERIES" 1109196 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-479 1100824 1101241 1101269 "GROUP" 1101472 T GROUP (NIL) -9 NIL 1101606 NIL) (-478 1100190 1100349 1100600 "GROUP-" 1100605 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-477 1098557 1098878 1099265 "GROEBSOL" 1099867 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-476 1097471 1097759 1097810 "GRMOD" 1098339 NIL GRMOD (NIL T T) -9 NIL 1098507 NIL) (-475 1097239 1097275 1097403 "GRMOD-" 1097408 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-474 1092529 1093593 1094593 "GRIMAGE" 1096259 T GRIMAGE (NIL) -8 NIL NIL NIL) (-473 1090995 1091256 1091580 "GRDEF" 1092225 T GRDEF (NIL) -7 NIL NIL NIL) (-472 1090439 1090555 1090696 "GRAY" 1090874 T GRAY (NIL) -7 NIL NIL NIL) (-471 1089626 1090032 1090083 "GRALG" 1090236 NIL GRALG (NIL T T) -9 NIL 1090329 NIL) (-470 1089287 1089360 1089523 "GRALG-" 1089528 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-469 1086064 1088872 1089050 "GPOLSET" 1089194 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-468 1085418 1085475 1085733 "GOSPER" 1086001 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-467 1081150 1081856 1082382 "GMODPOL" 1085117 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-466 1080155 1080339 1080577 "GHENSEL" 1080962 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-465 1074311 1075154 1076174 "GENUPS" 1079239 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-464 1074008 1074059 1074148 "GENUFACT" 1074254 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-463 1073420 1073497 1073662 "GENPGCD" 1073926 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-462 1072894 1072929 1073142 "GENMFACT" 1073379 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-461 1071460 1071717 1072024 "GENEEZ" 1072637 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-460 1065608 1071071 1071233 "GDMP" 1071383 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-459 1054951 1059379 1060485 "GCNAALG" 1064591 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-458 1053278 1054140 1054168 "GCDDOM" 1054423 T GCDDOM (NIL) -9 NIL 1054580 NIL) (-457 1052748 1052875 1053090 "GCDDOM-" 1053095 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-456 1051420 1051605 1051909 "GB" 1052527 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-455 1040036 1042366 1044758 "GBINTERN" 1049111 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-454 1037873 1038165 1038586 "GBF" 1039711 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-453 1036654 1036819 1037086 "GBEUCLID" 1037689 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-452 1036003 1036128 1036277 "GAUSSFAC" 1036525 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-451 1034370 1034672 1034986 "GALUTIL" 1035722 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-450 1032678 1032952 1033276 "GALPOLYU" 1034097 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-449 1030043 1030333 1030740 "GALFACTU" 1032375 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-448 1021849 1023348 1024956 "GALFACT" 1028475 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-447 1019237 1019895 1019923 "FVFUN" 1021079 T FVFUN (NIL) -9 NIL 1021799 NIL) (-446 1018503 1018685 1018713 "FVC" 1019004 T FVC (NIL) -9 NIL 1019187 NIL) (-445 1018146 1018328 1018396 "FUNDESC" 1018455 T FUNDESC (NIL) -8 NIL NIL NIL) (-444 1017761 1017943 1018024 "FUNCTION" 1018098 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-443 1015505 1016083 1016549 "FT" 1017315 T FT (NIL) -8 NIL NIL NIL) (-442 1014296 1014806 1015009 "FTEM" 1015322 T FTEM (NIL) -8 NIL NIL NIL) (-441 1012587 1012876 1013273 "FSUPFACT" 1013987 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-440 1010984 1011273 1011605 "FST" 1012275 T FST (NIL) -8 NIL NIL NIL) (-439 1010183 1010289 1010477 "FSRED" 1010866 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-438 1008882 1009138 1009485 "FSPRMELT" 1009898 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-437 1006188 1006626 1007112 "FSPECF" 1008445 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-436 987826 996157 996198 "FS" 1000082 NIL FS (NIL T) -9 NIL 1002371 NIL) (-435 976469 979462 983519 "FS-" 983819 NIL FS- (NIL T T) -8 NIL NIL NIL) (-434 975997 976051 976221 "FSINT" 976410 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-433 974289 974990 975293 "FSERIES" 975776 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-432 973331 973447 973671 "FSCINT" 974169 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-431 969539 972275 972316 "FSAGG" 972686 NIL FSAGG (NIL T) -9 NIL 972945 NIL) (-430 967301 967902 968698 "FSAGG-" 968793 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-429 966343 966486 966713 "FSAGG2" 967154 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-428 964025 964305 964852 "FS2UPS" 966061 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-427 963659 963702 963831 "FS2" 963976 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-426 962537 962708 963010 "FS2EXPXP" 963484 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-425 961963 962078 962230 "FRUTIL" 962417 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-424 953376 957458 958816 "FR" 960637 NIL FR (NIL T) -8 NIL NIL NIL) (-423 948345 951019 951059 "FRNAALG" 952455 NIL FRNAALG (NIL T) -9 NIL 953062 NIL) (-422 944018 945094 946369 "FRNAALG-" 947119 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-421 943656 943699 943826 "FRNAAF2" 943969 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-420 942031 942505 942801 "FRMOD" 943468 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-419 939774 940406 940724 "FRIDEAL" 941822 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-418 938965 939052 939343 "FRIDEAL2" 939681 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-417 938098 938512 938553 "FRETRCT" 938558 NIL FRETRCT (NIL T) -9 NIL 938734 NIL) (-416 937210 937441 937792 "FRETRCT-" 937797 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-415 934298 935508 935567 "FRAMALG" 936449 NIL FRAMALG (NIL T T) -9 NIL 936741 NIL) (-414 932432 932887 933517 "FRAMALG-" 933740 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-413 926351 931905 932182 "FRAC" 932187 NIL FRAC (NIL T) -8 NIL NIL NIL) (-412 925987 926044 926151 "FRAC2" 926288 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-411 925623 925680 925787 "FR2" 925924 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-410 920136 923029 923057 "FPS" 924176 T FPS (NIL) -9 NIL 924733 NIL) (-409 919585 919694 919858 "FPS-" 920004 NIL FPS- (NIL T) -8 NIL NIL NIL) (-408 916887 918556 918584 "FPC" 918809 T FPC (NIL) -9 NIL 918951 NIL) (-407 916680 916720 916817 "FPC-" 916822 NIL FPC- (NIL T) -8 NIL NIL NIL) (-406 915470 916168 916209 "FPATMAB" 916214 NIL FPATMAB (NIL T) -9 NIL 916366 NIL) (-405 913143 913646 914072 "FPARFRAC" 915107 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-404 908537 909035 909717 "FORTRAN" 912575 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-403 906253 906753 907292 "FORT" 908018 T FORT (NIL) -7 NIL NIL NIL) (-402 903929 904491 904519 "FORTFN" 905579 T FORTFN (NIL) -9 NIL 906203 NIL) (-401 903693 903743 903771 "FORTCAT" 903830 T FORTCAT (NIL) -9 NIL 903892 NIL) (-400 901799 902309 902699 "FORMULA" 903323 T FORMULA (NIL) -8 NIL NIL NIL) (-399 901587 901617 901686 "FORMULA1" 901763 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-398 901110 901162 901335 "FORDER" 901529 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-397 900206 900370 900563 "FOP" 900937 T FOP (NIL) -7 NIL NIL NIL) (-396 898787 899486 899660 "FNLA" 900088 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-395 897516 897931 897959 "FNCAT" 898419 T FNCAT (NIL) -9 NIL 898679 NIL) (-394 897055 897475 897503 "FNAME" 897508 T FNAME (NIL) -8 NIL NIL NIL) (-393 895618 896581 896609 "FMTC" 896614 T FMTC (NIL) -9 NIL 896650 NIL) (-392 894364 895554 895600 "FMONOID" 895605 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-391 891192 892360 892401 "FMONCAT" 893618 NIL FMONCAT (NIL T) -9 NIL 894223 NIL) (-390 890384 890934 891083 "FM" 891088 NIL FM (NIL T T) -8 NIL NIL NIL) (-389 887808 888454 888482 "FMFUN" 889626 T FMFUN (NIL) -9 NIL 890334 NIL) (-388 887077 887258 887286 "FMC" 887576 T FMC (NIL) -9 NIL 887758 NIL) (-387 884156 885016 885070 "FMCAT" 886265 NIL FMCAT (NIL T T) -9 NIL 886760 NIL) (-386 883022 883922 884022 "FM1" 884101 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-385 880796 881212 881706 "FLOATRP" 882573 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-384 874374 878525 879146 "FLOAT" 880195 T FLOAT (NIL) -8 NIL NIL NIL) (-383 871812 872312 872890 "FLOATCP" 873841 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-382 870552 871390 871431 "FLINEXP" 871436 NIL FLINEXP (NIL T) -9 NIL 871529 NIL) (-381 869706 869941 870269 "FLINEXP-" 870274 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-380 868782 868926 869150 "FLASORT" 869558 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-379 865898 866766 866818 "FLALG" 868045 NIL FLALG (NIL T T) -9 NIL 868512 NIL) (-378 859634 863384 863425 "FLAGG" 864687 NIL FLAGG (NIL T) -9 NIL 865339 NIL) (-377 858360 858699 859189 "FLAGG-" 859194 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-376 857402 857545 857772 "FLAGG2" 858213 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-375 854253 855261 855320 "FINRALG" 856448 NIL FINRALG (NIL T T) -9 NIL 856956 NIL) (-374 853413 853642 853981 "FINRALG-" 853986 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-373 852793 853032 853060 "FINITE" 853256 T FINITE (NIL) -9 NIL 853363 NIL) (-372 845150 847337 847377 "FINAALG" 851044 NIL FINAALG (NIL T) -9 NIL 852497 NIL) (-371 840482 841532 842676 "FINAALG-" 844055 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-370 839850 840237 840340 "FILE" 840412 NIL FILE (NIL T) -8 NIL NIL NIL) (-369 838508 838846 838900 "FILECAT" 839584 NIL FILECAT (NIL T T) -9 NIL 839800 NIL) (-368 836224 837752 837780 "FIELD" 837820 T FIELD (NIL) -9 NIL 837900 NIL) (-367 834844 835229 835740 "FIELD-" 835745 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-366 832694 833479 833826 "FGROUP" 834530 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-365 831784 831948 832168 "FGLMICPK" 832526 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-364 827616 831709 831766 "FFX" 831771 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-363 827217 827278 827413 "FFSLPE" 827549 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-362 823207 823989 824785 "FFPOLY" 826453 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-361 822711 822747 822956 "FFPOLY2" 823165 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-360 818557 822630 822693 "FFP" 822698 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-359 813955 818468 818532 "FF" 818537 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-358 809081 813298 813488 "FFNBX" 813809 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-357 804009 808216 808474 "FFNBP" 808935 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-356 798642 803293 803504 "FFNB" 803842 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-355 797474 797672 797987 "FFINTBAS" 798439 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-354 793543 795763 795791 "FFIELDC" 796411 T FFIELDC (NIL) -9 NIL 796787 NIL) (-353 792205 792576 793073 "FFIELDC-" 793078 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-352 791774 791820 791944 "FFHOM" 792147 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-351 789469 789956 790473 "FFF" 791289 NIL FFF (NIL T) -7 NIL NIL NIL) (-350 785087 789211 789312 "FFCGX" 789412 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-349 780709 784819 784926 "FFCGP" 785030 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-348 775892 780436 780544 "FFCG" 780645 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-347 757288 766369 766455 "FFCAT" 771620 NIL FFCAT (NIL T T T) -9 NIL 773071 NIL) (-346 752485 753533 754847 "FFCAT-" 756077 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-345 751896 751939 752174 "FFCAT2" 752436 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-344 741219 744868 746088 "FEXPR" 750748 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-343 740219 740654 740695 "FEVALAB" 740779 NIL FEVALAB (NIL T) -9 NIL 741040 NIL) (-342 739378 739588 739926 "FEVALAB-" 739931 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-341 737944 738761 738964 "FDIV" 739277 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-340 734964 735705 735820 "FDIVCAT" 737388 NIL FDIVCAT (NIL T T T T) -9 NIL 737825 NIL) (-339 734726 734753 734923 "FDIVCAT-" 734928 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-338 733946 734033 734310 "FDIV2" 734633 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-337 732920 733241 733443 "FCTRDATA" 733764 T FCTRDATA (NIL) -8 NIL NIL NIL) (-336 731606 731865 732154 "FCPAK1" 732651 T FCPAK1 (NIL) -7 NIL NIL NIL) (-335 730705 731106 731247 "FCOMP" 731497 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-334 714410 717855 721393 "FC" 727187 T FC (NIL) -8 NIL NIL NIL) (-333 706773 710801 710841 "FAXF" 712643 NIL FAXF (NIL T) -9 NIL 713335 NIL) (-332 704050 704707 705532 "FAXF-" 705997 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-331 699102 703426 703602 "FARRAY" 703907 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-330 693996 696063 696116 "FAMR" 697139 NIL FAMR (NIL T T) -9 NIL 697599 NIL) (-329 692886 693188 693623 "FAMR-" 693628 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-328 692055 692808 692861 "FAMONOID" 692866 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-327 689841 690551 690604 "FAMONC" 691545 NIL FAMONC (NIL T T) -9 NIL 691931 NIL) (-326 688505 689595 689732 "FAGROUP" 689737 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-325 686300 686619 687022 "FACUTIL" 688186 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-324 685399 685584 685806 "FACTFUNC" 686110 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-323 677821 684702 684901 "EXPUPXS" 685255 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-322 675304 675844 676430 "EXPRTUBE" 677255 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-321 671575 672167 672897 "EXPRODE" 674643 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-320 657060 670224 670653 "EXPR" 671179 NIL EXPR (NIL T) -8 NIL NIL NIL) (-319 651614 652201 653007 "EXPR2UPS" 656358 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-318 651246 651303 651412 "EXPR2" 651551 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-317 642634 650397 650688 "EXPEXPAN" 651082 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-316 642434 642591 642620 "EXIT" 642625 T EXIT (NIL) -8 NIL NIL NIL) (-315 641914 642158 642249 "EXITAST" 642363 T EXITAST (NIL) -8 NIL NIL NIL) (-314 641541 641603 641716 "EVALCYC" 641846 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-313 641082 641200 641241 "EVALAB" 641411 NIL EVALAB (NIL T) -9 NIL 641515 NIL) (-312 640563 640685 640906 "EVALAB-" 640911 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-311 637931 639233 639261 "EUCDOM" 639816 T EUCDOM (NIL) -9 NIL 640166 NIL) (-310 636336 636778 637368 "EUCDOM-" 637373 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-309 623875 626634 629384 "ESTOOLS" 633606 T ESTOOLS (NIL) -7 NIL NIL NIL) (-308 623507 623564 623673 "ESTOOLS2" 623812 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-307 623258 623300 623380 "ESTOOLS1" 623459 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-306 617295 618903 618931 "ES" 621699 T ES (NIL) -9 NIL 623109 NIL) (-305 612242 613529 615346 "ES-" 615510 NIL ES- (NIL T) -8 NIL NIL NIL) (-304 608616 609377 610157 "ESCONT" 611482 T ESCONT (NIL) -7 NIL NIL NIL) (-303 608361 608393 608475 "ESCONT1" 608578 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-302 608036 608086 608186 "ES2" 608305 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-301 607666 607724 607833 "ES1" 607972 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-300 606882 607011 607187 "ERROR" 607510 T ERROR (NIL) -7 NIL NIL NIL) (-299 600274 606741 606832 "EQTBL" 606837 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-298 592777 595588 597037 "EQ" 598858 NIL -2200 (NIL T) -8 NIL NIL NIL) (-297 592409 592466 592575 "EQ2" 592714 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-296 587700 588747 589840 "EP" 591348 NIL EP (NIL T) -7 NIL NIL NIL) (-295 586300 586591 586897 "ENV" 587414 T ENV (NIL) -8 NIL NIL NIL) (-294 585394 585948 585976 "ENTIRER" 585981 T ENTIRER (NIL) -9 NIL 586027 NIL) (-293 581861 583349 583719 "EMR" 585193 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-292 581005 581190 581244 "ELTAGG" 581624 NIL ELTAGG (NIL T T) -9 NIL 581835 NIL) (-291 580724 580786 580927 "ELTAGG-" 580932 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-290 580513 580542 580596 "ELTAB" 580680 NIL ELTAB (NIL T T) -9 NIL NIL NIL) (-289 579639 579785 579984 "ELFUTS" 580364 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-288 579381 579437 579465 "ELEMFUN" 579570 T ELEMFUN (NIL) -9 NIL NIL NIL) (-287 579251 579272 579340 "ELEMFUN-" 579345 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-286 574095 577351 577392 "ELAGG" 578332 NIL ELAGG (NIL T) -9 NIL 578795 NIL) (-285 572380 572814 573477 "ELAGG-" 573482 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-284 571692 571829 571985 "ELABOR" 572244 T ELABOR (NIL) -8 NIL NIL NIL) (-283 570353 570632 570926 "ELABEXPR" 571418 T ELABEXPR (NIL) -8 NIL NIL NIL) (-282 563217 565020 565847 "EFUPXS" 569629 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-281 556667 558468 559278 "EFULS" 562493 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-280 554152 554510 554982 "EFSTRUC" 556299 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-279 543943 545509 547057 "EF" 552667 NIL EF (NIL T T) -7 NIL NIL NIL) (-278 543017 543428 543577 "EAB" 543814 T EAB (NIL) -8 NIL NIL NIL) (-277 542199 542976 543004 "E04UCFA" 543009 T E04UCFA (NIL) -8 NIL NIL NIL) (-276 541381 542158 542186 "E04NAFA" 542191 T E04NAFA (NIL) -8 NIL NIL NIL) (-275 540563 541340 541368 "E04MBFA" 541373 T E04MBFA (NIL) -8 NIL NIL NIL) (-274 539745 540522 540550 "E04JAFA" 540555 T E04JAFA (NIL) -8 NIL NIL NIL) (-273 538929 539704 539732 "E04GCFA" 539737 T E04GCFA (NIL) -8 NIL NIL NIL) (-272 538113 538888 538916 "E04FDFA" 538921 T E04FDFA (NIL) -8 NIL NIL NIL) (-271 537295 538072 538100 "E04DGFA" 538105 T E04DGFA (NIL) -8 NIL NIL NIL) (-270 531468 532820 534184 "E04AGNT" 535951 T E04AGNT (NIL) -7 NIL NIL NIL) (-269 530148 530654 530694 "DVARCAT" 531169 NIL DVARCAT (NIL T) -9 NIL 531368 NIL) (-268 529352 529564 529878 "DVARCAT-" 529883 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-267 522489 529151 529280 "DSMP" 529285 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-266 517270 518434 519502 "DROPT" 521441 T DROPT (NIL) -8 NIL NIL NIL) (-265 516935 516994 517092 "DROPT1" 517205 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-264 512050 513176 514313 "DROPT0" 515818 T DROPT0 (NIL) -7 NIL NIL NIL) (-263 510395 510720 511106 "DRAWPT" 511684 T DRAWPT (NIL) -7 NIL NIL NIL) (-262 504982 505905 506984 "DRAW" 509369 NIL DRAW (NIL T) -7 NIL NIL NIL) (-261 504615 504668 504786 "DRAWHACK" 504923 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-260 503346 503615 503906 "DRAWCX" 504344 T DRAWCX (NIL) -7 NIL NIL NIL) (-259 502861 502930 503081 "DRAWCURV" 503272 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-258 493329 495291 497406 "DRAWCFUN" 500766 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-257 490093 492022 492063 "DQAGG" 492692 NIL DQAGG (NIL T) -9 NIL 492966 NIL) (-256 478217 484686 484769 "DPOLCAT" 486621 NIL DPOLCAT (NIL T T T T) -9 NIL 487166 NIL) (-255 473054 474402 476360 "DPOLCAT-" 476365 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-254 466176 472915 473013 "DPMO" 473018 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-253 459201 465956 466123 "DPMM" 466128 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-252 458679 458893 458991 "DOMTMPLT" 459123 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-251 458112 458481 458561 "DOMCTOR" 458619 T DOMCTOR (NIL) -8 NIL NIL NIL) (-250 457324 457592 457743 "DOMAIN" 457981 T DOMAIN (NIL) -8 NIL NIL NIL) (-249 451312 456959 457111 "DMP" 457225 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-248 450912 450968 451112 "DLP" 451250 NIL DLP (NIL T) -7 NIL NIL NIL) (-247 444734 450239 450429 "DLIST" 450754 NIL DLIST (NIL T) -8 NIL NIL NIL) (-246 441531 443587 443628 "DLAGG" 444178 NIL DLAGG (NIL T) -9 NIL 444408 NIL) (-245 440207 440871 440899 "DIVRING" 440991 T DIVRING (NIL) -9 NIL 441074 NIL) (-244 439444 439634 439934 "DIVRING-" 439939 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-243 437546 437903 438309 "DISPLAY" 439058 T DISPLAY (NIL) -7 NIL NIL NIL) (-242 431434 437460 437523 "DIRPROD" 437528 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-241 430282 430485 430750 "DIRPROD2" 431227 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-240 419057 425063 425116 "DIRPCAT" 425526 NIL DIRPCAT (NIL NIL T) -9 NIL 426366 NIL) (-239 416383 417025 417906 "DIRPCAT-" 418243 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-238 415670 415830 416016 "DIOSP" 416217 T DIOSP (NIL) -7 NIL NIL NIL) (-237 412325 414582 414623 "DIOPS" 415057 NIL DIOPS (NIL T) -9 NIL 415286 NIL) (-236 411874 411988 412179 "DIOPS-" 412184 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-235 410697 411325 411353 "DIFRING" 411540 T DIFRING (NIL) -9 NIL 411650 NIL) (-234 410343 410420 410572 "DIFRING-" 410577 NIL DIFRING- (NIL T) -8 NIL NIL NIL) (-233 408079 409351 409392 "DIFEXT" 409755 NIL DIFEXT (NIL T) -9 NIL 410049 NIL) (-232 406364 406792 407458 "DIFEXT-" 407463 NIL DIFEXT- (NIL T T) -8 NIL NIL NIL) (-231 403639 405896 405937 "DIAGG" 405942 NIL DIAGG (NIL T) -9 NIL 405962 NIL) (-230 403023 403180 403432 "DIAGG-" 403437 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-229 398440 401982 402259 "DHMATRIX" 402792 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-228 394052 394961 395971 "DFSFUN" 397450 T DFSFUN (NIL) -7 NIL NIL NIL) (-227 389131 392983 393295 "DFLOAT" 393760 T DFLOAT (NIL) -8 NIL NIL NIL) (-226 387394 387675 388064 "DFINTTLS" 388839 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-225 384423 385415 385815 "DERHAM" 387060 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-224 382224 384198 384287 "DEQUEUE" 384367 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-223 381478 381611 381794 "DEGRED" 382086 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-222 377908 378653 379499 "DEFINTRF" 380706 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-221 375463 375932 376524 "DEFINTEF" 377427 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-220 374813 375083 375198 "DEFAST" 375368 T DEFAST (NIL) -8 NIL NIL NIL) (-219 368815 374406 374556 "DECIMAL" 374683 T DECIMAL (NIL) -8 NIL NIL NIL) (-218 366327 366785 367291 "DDFACT" 368359 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-217 365923 365966 366117 "DBLRESP" 366278 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-216 363795 364156 364516 "DBASE" 365690 NIL DBASE (NIL T) -8 NIL NIL NIL) (-215 363037 363275 363421 "DATAARY" 363694 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-214 362143 362996 363024 "D03FAFA" 363029 T D03FAFA (NIL) -8 NIL NIL NIL) (-213 361250 362102 362130 "D03EEFA" 362135 T D03EEFA (NIL) -8 NIL NIL NIL) (-212 359200 359666 360155 "D03AGNT" 360781 T D03AGNT (NIL) -7 NIL NIL NIL) (-211 358489 359159 359187 "D02EJFA" 359192 T D02EJFA (NIL) -8 NIL NIL NIL) (-210 357778 358448 358476 "D02CJFA" 358481 T D02CJFA (NIL) -8 NIL NIL NIL) (-209 357067 357737 357765 "D02BHFA" 357770 T D02BHFA (NIL) -8 NIL NIL NIL) (-208 356356 357026 357054 "D02BBFA" 357059 T D02BBFA (NIL) -8 NIL NIL NIL) (-207 349553 351142 352748 "D02AGNT" 354770 T D02AGNT (NIL) -7 NIL NIL NIL) (-206 347321 347844 348390 "D01WGTS" 349027 T D01WGTS (NIL) -7 NIL NIL NIL) (-205 346388 347280 347308 "D01TRNS" 347313 T D01TRNS (NIL) -8 NIL NIL NIL) (-204 345456 346347 346375 "D01GBFA" 346380 T D01GBFA (NIL) -8 NIL NIL NIL) (-203 344524 345415 345443 "D01FCFA" 345448 T D01FCFA (NIL) -8 NIL NIL NIL) (-202 343592 344483 344511 "D01ASFA" 344516 T D01ASFA (NIL) -8 NIL NIL NIL) (-201 342660 343551 343579 "D01AQFA" 343584 T D01AQFA (NIL) -8 NIL NIL NIL) (-200 341728 342619 342647 "D01APFA" 342652 T D01APFA (NIL) -8 NIL NIL NIL) (-199 340796 341687 341715 "D01ANFA" 341720 T D01ANFA (NIL) -8 NIL NIL NIL) (-198 339864 340755 340783 "D01AMFA" 340788 T D01AMFA (NIL) -8 NIL NIL NIL) (-197 338932 339823 339851 "D01ALFA" 339856 T D01ALFA (NIL) -8 NIL NIL NIL) (-196 338000 338891 338919 "D01AKFA" 338924 T D01AKFA (NIL) -8 NIL NIL NIL) (-195 337068 337959 337987 "D01AJFA" 337992 T D01AJFA (NIL) -8 NIL NIL NIL) (-194 330363 331916 333477 "D01AGNT" 335527 T D01AGNT (NIL) -7 NIL NIL NIL) (-193 329700 329828 329980 "CYCLOTOM" 330231 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-192 326434 327148 327875 "CYCLES" 328993 T CYCLES (NIL) -7 NIL NIL NIL) (-191 325746 325880 326051 "CVMP" 326295 NIL CVMP (NIL T) -7 NIL NIL NIL) (-190 323587 323845 324214 "CTRIGMNP" 325474 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-189 323023 323381 323454 "CTOR" 323534 T CTOR (NIL) -8 NIL NIL NIL) (-188 322532 322754 322855 "CTORKIND" 322942 T CTORKIND (NIL) -8 NIL NIL NIL) (-187 321823 322139 322167 "CTORCAT" 322349 T CTORCAT (NIL) -9 NIL 322462 NIL) (-186 321421 321532 321691 "CTORCAT-" 321696 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-185 320883 321095 321203 "CTORCALL" 321345 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-184 320257 320356 320509 "CSTTOOLS" 320780 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-183 316056 316713 317471 "CRFP" 319569 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-182 315531 315777 315869 "CRCEAST" 315984 T CRCEAST (NIL) -8 NIL NIL NIL) (-181 314578 314763 314991 "CRAPACK" 315335 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-180 313962 314063 314267 "CPMATCH" 314454 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-179 313687 313715 313821 "CPIMA" 313928 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-178 310035 310707 311426 "COORDSYS" 313022 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-177 309447 309568 309710 "CONTOUR" 309913 T CONTOUR (NIL) -8 NIL NIL NIL) (-176 305338 307450 307942 "CONTFRAC" 308987 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-175 305218 305239 305267 "CONDUIT" 305304 T CONDUIT (NIL) -9 NIL NIL NIL) (-174 304306 304860 304888 "COMRING" 304893 T COMRING (NIL) -9 NIL 304945 NIL) (-173 303360 303664 303848 "COMPPROP" 304142 T COMPPROP (NIL) -8 NIL NIL NIL) (-172 303021 303056 303184 "COMPLPAT" 303319 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-171 293312 302830 302939 "COMPLEX" 302944 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 292948 293005 293112 "COMPLEX2" 293249 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-169 292287 292408 292568 "COMPILER" 292808 T COMPILER (NIL) -8 NIL NIL NIL) (-168 292005 292040 292138 "COMPFACT" 292246 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-167 276085 286079 286119 "COMPCAT" 287123 NIL COMPCAT (NIL T) -9 NIL 288471 NIL) (-166 265597 268524 272151 "COMPCAT-" 272507 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-165 265326 265354 265457 "COMMUPC" 265563 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-164 265120 265154 265213 "COMMONOP" 265287 T COMMONOP (NIL) -7 NIL NIL NIL) (-163 264676 264871 264958 "COMM" 265053 T COMM (NIL) -8 NIL NIL NIL) (-162 264252 264480 264555 "COMMAAST" 264621 T COMMAAST (NIL) -8 NIL NIL NIL) (-161 263501 263695 263723 "COMBOPC" 264061 T COMBOPC (NIL) -9 NIL 264236 NIL) (-160 262397 262607 262849 "COMBINAT" 263291 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-159 258854 259428 260055 "COMBF" 261819 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-158 257612 257970 258205 "COLOR" 258639 T COLOR (NIL) -8 NIL NIL NIL) (-157 257088 257333 257425 "COLONAST" 257540 T COLONAST (NIL) -8 NIL NIL NIL) (-156 256728 256775 256900 "CMPLXRT" 257035 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-155 256176 256428 256527 "CLLCTAST" 256649 T CLLCTAST (NIL) -8 NIL NIL NIL) (-154 251678 252706 253786 "CLIP" 255116 T CLIP (NIL) -7 NIL NIL NIL) (-153 250019 250779 251019 "CLIF" 251505 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-152 246194 248165 248206 "CLAGG" 249135 NIL CLAGG (NIL T) -9 NIL 249671 NIL) (-151 244616 245073 245656 "CLAGG-" 245661 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-150 244160 244245 244385 "CINTSLPE" 244525 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-149 241661 242132 242680 "CHVAR" 243688 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-148 240835 241389 241417 "CHARZ" 241422 T CHARZ (NIL) -9 NIL 241437 NIL) (-147 240589 240629 240707 "CHARPOL" 240789 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-146 239647 240234 240262 "CHARNZ" 240309 T CHARNZ (NIL) -9 NIL 240365 NIL) (-145 237553 238301 238654 "CHAR" 239314 T CHAR (NIL) -8 NIL NIL NIL) (-144 237279 237340 237368 "CFCAT" 237479 T CFCAT (NIL) -9 NIL NIL NIL) (-143 236520 236631 236814 "CDEN" 237163 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-142 232485 235673 235953 "CCLASS" 236260 T CCLASS (NIL) -8 NIL NIL NIL) (-141 231736 231893 232070 "CATEGORY" 232328 T -10 (NIL) -8 NIL NIL NIL) (-140 231309 231655 231703 "CATCTOR" 231708 T CATCTOR (NIL) -8 NIL NIL NIL) (-139 230760 231012 231110 "CATAST" 231231 T CATAST (NIL) -8 NIL NIL NIL) (-138 230236 230481 230573 "CASEAST" 230688 T CASEAST (NIL) -8 NIL NIL NIL) (-137 225246 226265 227018 "CARTEN" 229539 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 224354 224502 224723 "CARTEN2" 225093 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-135 222670 223504 223761 "CARD" 224117 T CARD (NIL) -8 NIL NIL NIL) (-134 222246 222474 222549 "CAPSLAST" 222615 T CAPSLAST (NIL) -8 NIL NIL NIL) (-133 221750 221958 221986 "CACHSET" 222118 T CACHSET (NIL) -9 NIL 222196 NIL) (-132 221220 221542 221570 "CABMON" 221620 T CABMON (NIL) -9 NIL 221676 NIL) (-131 220693 220924 221034 "BYTEORD" 221130 T BYTEORD (NIL) -8 NIL NIL NIL) (-130 219675 220227 220369 "BYTE" 220532 T BYTE (NIL) -8 NIL NIL 220654) (-129 215025 219180 219352 "BYTEBUF" 219523 T BYTEBUF (NIL) -8 NIL NIL NIL) (-128 212534 214717 214824 "BTREE" 214951 NIL BTREE (NIL T) -8 NIL NIL NIL) (-127 209983 212182 212304 "BTOURN" 212444 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-126 207353 209453 209494 "BTCAT" 209562 NIL BTCAT (NIL T) -9 NIL 209639 NIL) (-125 207020 207100 207249 "BTCAT-" 207254 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-124 202430 206309 206337 "BTAGG" 206451 T BTAGG (NIL) -9 NIL 206561 NIL) (-123 201920 202045 202251 "BTAGG-" 202256 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-122 198915 201198 201413 "BSTREE" 201737 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-121 198053 198179 198363 "BRILL" 198771 NIL BRILL (NIL T) -7 NIL NIL NIL) (-120 194705 196779 196820 "BRAGG" 197469 NIL BRAGG (NIL T) -9 NIL 197727 NIL) (-119 193234 193640 194195 "BRAGG-" 194200 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-118 186461 192578 192763 "BPADICRT" 193081 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-117 184776 186398 186443 "BPADIC" 186448 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-116 184474 184504 184618 "BOUNDZRO" 184740 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-115 179702 180900 181812 "BOP" 183582 T BOP (NIL) -8 NIL NIL NIL) (-114 177483 177887 178362 "BOP1" 179260 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-113 177184 177245 177273 "BOOLE" 177384 T BOOLE (NIL) -9 NIL 177466 NIL) (-112 176009 176758 176907 "BOOLEAN" 177055 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 175288 175692 175746 "BMODULE" 175751 NIL BMODULE (NIL T T) -9 NIL 175816 NIL) (-110 171089 175086 175159 "BITS" 175235 T BITS (NIL) -8 NIL NIL NIL) (-109 170510 170629 170769 "BINDING" 170969 T BINDING (NIL) -8 NIL NIL NIL) (-108 164515 170105 170254 "BINARY" 170381 T BINARY (NIL) -8 NIL NIL NIL) (-107 162295 163770 163811 "BGAGG" 164071 NIL BGAGG (NIL T) -9 NIL 164208 NIL) (-106 162126 162158 162249 "BGAGG-" 162254 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 161197 161510 161715 "BFUNCT" 161941 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 159887 160065 160353 "BEZOUT" 161021 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 156356 158739 159069 "BBTREE" 159590 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 156090 156143 156171 "BASTYPE" 156290 T BASTYPE (NIL) -9 NIL NIL NIL) (-101 155942 155971 156044 "BASTYPE-" 156049 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 155376 155452 155604 "BALFACT" 155853 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 154232 154791 154977 "AUTOMOR" 155221 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 153958 153963 153989 "ATTREG" 153994 T ATTREG (NIL) -9 NIL NIL NIL) (-97 152210 152655 153007 "ATTRBUT" 153624 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 151818 152038 152104 "ATTRAST" 152162 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 151354 151467 151493 "ATRIG" 151694 T ATRIG (NIL) -9 NIL NIL NIL) (-94 151163 151204 151291 "ATRIG-" 151296 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 150808 150994 151020 "ASTCAT" 151025 T ASTCAT (NIL) -9 NIL 151055 NIL) (-92 150535 150594 150713 "ASTCAT-" 150718 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 148684 150311 150399 "ASTACK" 150478 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 147189 147486 147851 "ASSOCEQ" 148366 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 146221 146848 146972 "ASP9" 147096 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 145984 146169 146208 "ASP8" 146213 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 144852 145589 145731 "ASP80" 145873 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 143750 144487 144619 "ASP7" 144751 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 142704 143427 143545 "ASP78" 143663 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 141673 142384 142501 "ASP77" 142618 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 140585 141311 141442 "ASP74" 141573 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 139485 140220 140352 "ASP73" 140484 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 138589 139311 139411 "ASP6" 139416 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 137536 138266 138384 "ASP55" 138502 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 136485 137210 137329 "ASP50" 137448 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 135573 136186 136296 "ASP4" 136406 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 134661 135274 135384 "ASP49" 135494 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 133445 134200 134368 "ASP42" 134550 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 132222 132978 133148 "ASP41" 133332 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 131172 131899 132017 "ASP35" 132135 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 130937 131120 131159 "ASP34" 131164 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 130674 130741 130817 "ASP33" 130892 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 129568 130309 130441 "ASP31" 130573 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 129333 129516 129555 "ASP30" 129560 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 129068 129137 129213 "ASP29" 129288 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 128833 129016 129055 "ASP28" 129060 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 128598 128781 128820 "ASP27" 128825 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 127682 128296 128407 "ASP24" 128518 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 126759 127484 127596 "ASP20" 127601 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 125847 126460 126570 "ASP1" 126680 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 124790 125521 125640 "ASP19" 125759 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 124527 124594 124670 "ASP12" 124745 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 123379 124126 124270 "ASP10" 124414 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 121230 123223 123314 "ARRAY2" 123319 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 116995 120878 120992 "ARRAY1" 121147 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 116027 116200 116421 "ARRAY12" 116818 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 110339 112257 112332 "ARR2CAT" 114962 NIL ARR2CAT (NIL T T T) -9 NIL 115720 NIL) (-56 107773 108517 109471 "ARR2CAT-" 109476 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 107090 107400 107525 "ARITY" 107666 T ARITY (NIL) -8 NIL NIL NIL) (-54 105866 106018 106317 "APPRULE" 106926 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 105517 105565 105684 "APPLYORE" 105812 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 104871 105110 105230 "ANY" 105415 T ANY (NIL) -8 NIL NIL NIL) (-51 104149 104272 104429 "ANY1" 104745 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 101679 102586 102913 "ANTISYM" 103873 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 101171 101386 101482 "ANON" 101601 T ANON (NIL) -8 NIL NIL NIL) (-48 95420 99710 100164 "AN" 100735 T AN (NIL) -8 NIL NIL NIL) (-47 91318 92706 92757 "AMR" 93505 NIL AMR (NIL T T) -9 NIL 94105 NIL) (-46 90430 90651 91014 "AMR-" 91019 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 74869 90347 90408 "ALIST" 90413 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 71674 74463 74632 "ALGSC" 74787 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 68230 68784 69391 "ALGPKG" 71114 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 67507 67608 67792 "ALGMFACT" 68116 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 63542 64121 64715 "ALGMANIP" 67091 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 54912 63168 63318 "ALGFF" 63475 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 54108 54239 54418 "ALGFACT" 54770 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 53049 53649 53687 "ALGEBRA" 53692 NIL ALGEBRA (NIL T) -9 NIL 53733 NIL) (-37 52767 52826 52958 "ALGEBRA-" 52963 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 34860 50769 50821 "ALAGG" 50957 NIL ALAGG (NIL T T) -9 NIL 51118 NIL) (-35 34396 34509 34535 "AHYP" 34736 T AHYP (NIL) -9 NIL NIL NIL) (-34 33327 33575 33601 "AGG" 34100 T AGG (NIL) -9 NIL 34379 NIL) (-33 32761 32923 33137 "AGG-" 33142 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 30567 30990 31395 "AF" 32403 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 30047 30292 30382 "ADDAST" 30495 T ADDAST (NIL) -8 NIL NIL NIL) (-30 29315 29574 29730 "ACPLOT" 29909 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 18638 26442 26480 "ACFS" 27087 NIL ACFS (NIL T) -9 NIL 27326 NIL) (-28 16665 17155 17917 "ACFS-" 17922 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 12783 14712 14738 "ACF" 15617 T ACF (NIL) -9 NIL 16030 NIL) (-26 11487 11821 12314 "ACF-" 12319 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 11059 11254 11280 "ABELSG" 11372 T ABELSG (NIL) -9 NIL 11437 NIL) (-24 10926 10951 11017 "ABELSG-" 11022 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 10269 10556 10582 "ABELMON" 10752 T ABELMON (NIL) -9 NIL 10864 NIL) (-22 9933 10017 10155 "ABELMON-" 10160 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 9281 9653 9679 "ABELGRP" 9751 T ABELGRP (NIL) -9 NIL 9826 NIL) (-20 8744 8873 9089 "ABELGRP-" 9094 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4333 8083 8122 "A1AGG" 8127 NIL A1AGG (NIL T) -9 NIL 8167 NIL) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL NIL))
\ No newline at end of file +((-3 3229574 3229579 3229584 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-2 3229559 3229564 3229569 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1 3229544 3229549 3229554 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (0 3229529 3229534 3229539 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1306 3228672 3229404 3229481 "ZMOD" 3229486 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1305 3227782 3227946 3228155 "ZLINDEP" 3228504 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1304 3217082 3218850 3220822 "ZDSOLVE" 3225912 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1303 3216328 3216469 3216658 "YSTREAM" 3216928 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1302 3215756 3216002 3216115 "YDIAGRAM" 3216237 T YDIAGRAM (NIL) -8 NIL NIL NIL) (-1301 3213530 3215057 3215261 "XRPOLY" 3215599 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1300 3210083 3211401 3211976 "XPR" 3213002 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1299 3207804 3209414 3209618 "XPOLY" 3209914 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1298 3205457 3206825 3206880 "XPOLYC" 3207168 NIL XPOLYC (NIL T T) -9 NIL 3207281 NIL) (-1297 3201833 3203974 3204362 "XPBWPOLY" 3205115 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1296 3197528 3199823 3199865 "XF" 3200486 NIL XF (NIL T) -9 NIL 3200886 NIL) (-1295 3197149 3197237 3197406 "XF-" 3197411 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1294 3192345 3193634 3193689 "XFALG" 3195861 NIL XFALG (NIL T T) -9 NIL 3196650 NIL) (-1293 3191478 3191582 3191787 "XEXPPKG" 3192237 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1292 3189587 3191328 3191424 "XDPOLY" 3191429 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1291 3188394 3188994 3189037 "XALG" 3189042 NIL XALG (NIL T) -9 NIL 3189153 NIL) (-1290 3181836 3186371 3186865 "WUTSET" 3187986 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1289 3180092 3180888 3181211 "WP" 3181647 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1288 3179694 3179914 3179984 "WHILEAST" 3180044 T WHILEAST (NIL) -8 NIL NIL NIL) (-1287 3179166 3179411 3179505 "WHEREAST" 3179622 T WHEREAST (NIL) -8 NIL NIL NIL) (-1286 3178052 3178250 3178545 "WFFINTBS" 3178963 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1285 3175956 3176383 3176845 "WEIER" 3177624 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1284 3175002 3175452 3175494 "VSPACE" 3175630 NIL VSPACE (NIL T) -9 NIL 3175704 NIL) (-1283 3174840 3174867 3174958 "VSPACE-" 3174963 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1282 3174649 3174691 3174759 "VOID" 3174794 T VOID (NIL) -8 NIL NIL NIL) (-1281 3172785 3173144 3173550 "VIEW" 3174265 T VIEW (NIL) -7 NIL NIL NIL) (-1280 3169209 3169848 3170585 "VIEWDEF" 3172070 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1279 3158513 3160757 3162930 "VIEW3D" 3167058 T VIEW3D (NIL) -8 NIL NIL NIL) (-1278 3150764 3152424 3154003 "VIEW2D" 3156956 T VIEW2D (NIL) -8 NIL NIL NIL) (-1277 3146117 3150534 3150626 "VECTOR" 3150707 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1276 3144694 3144953 3145271 "VECTOR2" 3145847 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1275 3138168 3142475 3142518 "VECTCAT" 3143513 NIL VECTCAT (NIL T) -9 NIL 3144100 NIL) (-1274 3137182 3137436 3137826 "VECTCAT-" 3137831 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1273 3136636 3136833 3136953 "VARIABLE" 3137097 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1272 3136569 3136574 3136604 "UTYPE" 3136609 T UTYPE (NIL) -9 NIL NIL NIL) (-1271 3135399 3135553 3135815 "UTSODETL" 3136395 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1270 3132839 3133299 3133823 "UTSODE" 3134940 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1269 3124677 3130465 3130954 "UTS" 3132408 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1268 3115551 3120918 3120961 "UTSCAT" 3122073 NIL UTSCAT (NIL T) -9 NIL 3122831 NIL) (-1267 3112899 3113621 3114610 "UTSCAT-" 3114615 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1266 3112526 3112569 3112702 "UTS2" 3112850 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1265 3106752 3109364 3109407 "URAGG" 3111477 NIL URAGG (NIL T) -9 NIL 3112200 NIL) (-1264 3103691 3104554 3105677 "URAGG-" 3105682 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1263 3099400 3102326 3102791 "UPXSSING" 3103355 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1262 3091466 3098647 3098920 "UPXS" 3099185 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1261 3084539 3091370 3091442 "UPXSCONS" 3091447 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1260 3074284 3081077 3081139 "UPXSCCA" 3081713 NIL UPXSCCA (NIL T T) -9 NIL 3081946 NIL) (-1259 3073922 3074007 3074181 "UPXSCCA-" 3074186 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1258 3063519 3070085 3070128 "UPXSCAT" 3070776 NIL UPXSCAT (NIL T) -9 NIL 3071385 NIL) (-1257 3062949 3063028 3063207 "UPXS2" 3063434 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1256 3061603 3061856 3062207 "UPSQFREE" 3062692 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1255 3055024 3058081 3058136 "UPSCAT" 3059297 NIL UPSCAT (NIL T T) -9 NIL 3060071 NIL) (-1254 3054228 3054435 3054762 "UPSCAT-" 3054767 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1253 3039883 3047651 3047694 "UPOLYC" 3049795 NIL UPOLYC (NIL T) -9 NIL 3051016 NIL) (-1252 3031211 3033637 3036784 "UPOLYC-" 3036789 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1251 3030838 3030881 3031014 "UPOLYC2" 3031162 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1250 3022649 3030521 3030650 "UP" 3030757 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1249 3021988 3022095 3022259 "UPMP" 3022538 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1248 3021541 3021622 3021761 "UPDIVP" 3021901 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1247 3020109 3020358 3020674 "UPDECOMP" 3021290 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1246 3019340 3019452 3019638 "UPCDEN" 3019993 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1245 3018859 3018928 3019077 "UP2" 3019265 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1244 3017326 3018063 3018340 "UNISEG" 3018617 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1243 3016541 3016668 3016873 "UNISEG2" 3017169 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1242 3015601 3015781 3016007 "UNIFACT" 3016357 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1241 2999533 3014778 3015029 "ULS" 3015408 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1240 2987531 2999437 2999509 "ULSCONS" 2999514 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1239 2969548 2981533 2981595 "ULSCCAT" 2982233 NIL ULSCCAT (NIL T T) -9 NIL 2982522 NIL) (-1238 2968598 2968843 2969231 "ULSCCAT-" 2969236 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1237 2957972 2964452 2964495 "ULSCAT" 2965358 NIL ULSCAT (NIL T) -9 NIL 2966089 NIL) (-1236 2957402 2957481 2957660 "ULS2" 2957887 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1235 2956529 2957039 2957146 "UINT8" 2957257 T UINT8 (NIL) -8 NIL NIL 2957342) (-1234 2955655 2956165 2956272 "UINT64" 2956383 T UINT64 (NIL) -8 NIL NIL 2956468) (-1233 2954781 2955291 2955398 "UINT32" 2955509 T UINT32 (NIL) -8 NIL NIL 2955594) (-1232 2953907 2954417 2954524 "UINT16" 2954635 T UINT16 (NIL) -8 NIL NIL 2954720) (-1231 2952210 2953167 2953197 "UFD" 2953409 T UFD (NIL) -9 NIL 2953523 NIL) (-1230 2952004 2952050 2952145 "UFD-" 2952150 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1229 2951086 2951269 2951485 "UDVO" 2951810 T UDVO (NIL) -7 NIL NIL NIL) (-1228 2948902 2949311 2949782 "UDPO" 2950650 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1227 2948835 2948840 2948870 "TYPE" 2948875 T TYPE (NIL) -9 NIL NIL NIL) (-1226 2948595 2948790 2948821 "TYPEAST" 2948826 T TYPEAST (NIL) -8 NIL NIL NIL) (-1225 2947566 2947768 2948008 "TWOFACT" 2948389 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1224 2946589 2946975 2947210 "TUPLE" 2947366 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1223 2944280 2944799 2945338 "TUBETOOL" 2946072 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1222 2943129 2943334 2943575 "TUBE" 2944073 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1221 2937858 2942101 2942384 "TS" 2942881 NIL TS (NIL T) -8 NIL NIL NIL) (-1220 2926498 2930617 2930714 "TSETCAT" 2935983 NIL TSETCAT (NIL T T T T) -9 NIL 2937514 NIL) (-1219 2921230 2922830 2924721 "TSETCAT-" 2924726 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1218 2915869 2916716 2917645 "TRMANIP" 2920366 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1217 2915310 2915373 2915536 "TRIMAT" 2915801 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1216 2913176 2913413 2913770 "TRIGMNIP" 2915059 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1215 2912696 2912809 2912839 "TRIGCAT" 2913052 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1214 2912365 2912444 2912585 "TRIGCAT-" 2912590 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1213 2909210 2911223 2911504 "TREE" 2912119 NIL TREE (NIL T) -8 NIL NIL NIL) (-1212 2908484 2909012 2909042 "TRANFUN" 2909077 T TRANFUN (NIL) -9 NIL 2909143 NIL) (-1211 2907763 2907954 2908234 "TRANFUN-" 2908239 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1210 2907567 2907599 2907660 "TOPSP" 2907724 T TOPSP (NIL) -7 NIL NIL NIL) (-1209 2906915 2907030 2907184 "TOOLSIGN" 2907448 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1208 2905549 2906092 2906331 "TEXTFILE" 2906698 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1207 2903461 2904002 2904431 "TEX" 2905142 T TEX (NIL) -8 NIL NIL NIL) (-1206 2903242 2903273 2903345 "TEX1" 2903424 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1205 2902890 2902953 2903043 "TEMUTL" 2903174 T TEMUTL (NIL) -7 NIL NIL NIL) (-1204 2901044 2901324 2901649 "TBCMPPK" 2902613 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1203 2892821 2899204 2899260 "TBAGG" 2899660 NIL TBAGG (NIL T T) -9 NIL 2899871 NIL) (-1202 2887891 2889379 2891133 "TBAGG-" 2891138 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1201 2887275 2887382 2887527 "TANEXP" 2887780 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1200 2886786 2887050 2887140 "TALGOP" 2887220 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1199 2880176 2886643 2886736 "TABLE" 2886741 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1198 2879588 2879687 2879825 "TABLEAU" 2880073 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1197 2874196 2875416 2876664 "TABLBUMP" 2878374 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1196 2873418 2873565 2873746 "SYSTEM" 2874037 T SYSTEM (NIL) -8 NIL NIL NIL) (-1195 2869877 2870576 2871359 "SYSSOLP" 2872669 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1194 2869675 2869832 2869863 "SYSPTR" 2869868 T SYSPTR (NIL) -8 NIL NIL NIL) (-1193 2868719 2869224 2869343 "SYSNNI" 2869529 NIL SYSNNI (NIL NIL) -8 NIL NIL 2869614) (-1192 2868026 2868485 2868564 "SYSINT" 2868624 NIL SYSINT (NIL NIL) -8 NIL NIL 2868669) (-1191 2864358 2865304 2866014 "SYNTAX" 2867338 T SYNTAX (NIL) -8 NIL NIL NIL) (-1190 2861516 2862118 2862750 "SYMTAB" 2863748 T SYMTAB (NIL) -8 NIL NIL NIL) (-1189 2856765 2857667 2858650 "SYMS" 2860555 T SYMS (NIL) -8 NIL NIL NIL) (-1188 2854000 2856223 2856453 "SYMPOLY" 2856570 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1187 2853517 2853592 2853715 "SYMFUNC" 2853912 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1186 2849537 2850829 2851642 "SYMBOL" 2852726 T SYMBOL (NIL) -8 NIL NIL NIL) (-1185 2843076 2844765 2846485 "SWITCH" 2847839 T SWITCH (NIL) -8 NIL NIL NIL) (-1184 2836310 2841897 2842200 "SUTS" 2842831 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1183 2828376 2835557 2835830 "SUPXS" 2836095 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1182 2820135 2827994 2828120 "SUP" 2828285 NIL SUP (NIL T) -8 NIL NIL NIL) (-1181 2819294 2819421 2819638 "SUPFRACF" 2820003 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1180 2818915 2818974 2819087 "SUP2" 2819229 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1179 2817363 2817637 2817993 "SUMRF" 2818614 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1178 2816698 2816764 2816956 "SUMFS" 2817284 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1177 2800665 2815875 2816126 "SULS" 2816505 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1176 2800267 2800487 2800557 "SUCHTAST" 2800617 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1175 2799562 2799792 2799932 "SUCH" 2800175 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1174 2793429 2794468 2795427 "SUBSPACE" 2798650 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1173 2792859 2792949 2793113 "SUBRESP" 2793317 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1172 2786227 2787524 2788835 "STTF" 2791595 NIL STTF (NIL T) -7 NIL NIL NIL) (-1171 2780400 2781520 2782667 "STTFNC" 2785127 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1170 2771713 2773582 2775376 "STTAYLOR" 2778641 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1169 2764843 2771577 2771660 "STRTBL" 2771665 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1168 2760207 2764798 2764829 "STRING" 2764834 T STRING (NIL) -8 NIL NIL NIL) (-1167 2755068 2759580 2759610 "STRICAT" 2759669 T STRICAT (NIL) -9 NIL 2759731 NIL) (-1166 2747821 2752687 2753298 "STREAM" 2754492 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1165 2747331 2747408 2747552 "STREAM3" 2747738 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1164 2746313 2746496 2746731 "STREAM2" 2747144 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1163 2746001 2746053 2746146 "STREAM1" 2746255 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1162 2745017 2745198 2745429 "STINPROD" 2745817 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1161 2744569 2744779 2744809 "STEP" 2744889 T STEP (NIL) -9 NIL 2744967 NIL) (-1160 2743756 2744058 2744206 "STEPAST" 2744443 T STEPAST (NIL) -8 NIL NIL NIL) (-1159 2737188 2743655 2743732 "STBL" 2743737 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1158 2732314 2736409 2736452 "STAGG" 2736605 NIL STAGG (NIL T) -9 NIL 2736694 NIL) (-1157 2730016 2730618 2731490 "STAGG-" 2731495 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1156 2728163 2729786 2729878 "STACK" 2729959 NIL STACK (NIL T) -8 NIL NIL NIL) (-1155 2720858 2726304 2726760 "SREGSET" 2727793 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1154 2713283 2714652 2716165 "SRDCMPK" 2719464 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1153 2706200 2710723 2710753 "SRAGG" 2712056 T SRAGG (NIL) -9 NIL 2712664 NIL) (-1152 2705217 2705472 2705851 "SRAGG-" 2705856 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1151 2699677 2704164 2704585 "SQMATRIX" 2704843 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1150 2693362 2696395 2697122 "SPLTREE" 2699022 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1149 2689325 2690018 2690664 "SPLNODE" 2692788 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1148 2688372 2688605 2688635 "SPFCAT" 2689079 T SPFCAT (NIL) -9 NIL NIL NIL) (-1147 2687109 2687319 2687583 "SPECOUT" 2688130 T SPECOUT (NIL) -7 NIL NIL NIL) (-1146 2678219 2680091 2680121 "SPADXPT" 2684797 T SPADXPT (NIL) -9 NIL 2686961 NIL) (-1145 2677980 2678020 2678089 "SPADPRSR" 2678172 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1144 2676029 2677935 2677966 "SPADAST" 2677971 T SPADAST (NIL) -8 NIL NIL NIL) (-1143 2667974 2669747 2669790 "SPACEC" 2674163 NIL SPACEC (NIL T) -9 NIL 2675979 NIL) (-1142 2666104 2667906 2667955 "SPACE3" 2667960 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1141 2664856 2665027 2665318 "SORTPAK" 2665909 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1140 2662948 2663251 2663663 "SOLVETRA" 2664520 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1139 2661998 2662220 2662481 "SOLVESER" 2662721 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1138 2657302 2658190 2659185 "SOLVERAD" 2661050 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1137 2653117 2653726 2654455 "SOLVEFOR" 2656669 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1136 2647387 2652466 2652563 "SNTSCAT" 2652568 NIL SNTSCAT (NIL T T T T) -9 NIL 2652638 NIL) (-1135 2641493 2645710 2646101 "SMTS" 2647077 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1134 2636178 2641381 2641458 "SMP" 2641463 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1133 2634337 2634638 2635036 "SMITH" 2635875 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1132 2627050 2631246 2631349 "SMATCAT" 2632700 NIL SMATCAT (NIL NIL T T T) -9 NIL 2633250 NIL) (-1131 2623990 2624813 2625991 "SMATCAT-" 2625996 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1130 2621656 2623226 2623269 "SKAGG" 2623530 NIL SKAGG (NIL T) -9 NIL 2623665 NIL) (-1129 2617982 2621129 2621313 "SINT" 2621465 T SINT (NIL) -8 NIL NIL 2621627) (-1128 2617754 2617792 2617858 "SIMPAN" 2617938 T SIMPAN (NIL) -7 NIL NIL NIL) (-1127 2617033 2617289 2617429 "SIG" 2617636 T SIG (NIL) -8 NIL NIL NIL) (-1126 2615871 2616092 2616367 "SIGNRF" 2616792 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1125 2614704 2614855 2615139 "SIGNEF" 2615700 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1124 2614010 2614287 2614411 "SIGAST" 2614602 T SIGAST (NIL) -8 NIL NIL NIL) (-1123 2611700 2612154 2612660 "SHP" 2613551 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1122 2605552 2611601 2611677 "SHDP" 2611682 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1121 2605125 2605317 2605347 "SGROUP" 2605440 T SGROUP (NIL) -9 NIL 2605502 NIL) (-1120 2604983 2605009 2605082 "SGROUP-" 2605087 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1119 2601774 2602472 2603195 "SGCF" 2604282 T SGCF (NIL) -7 NIL NIL NIL) (-1118 2596142 2601221 2601318 "SFRTCAT" 2601323 NIL SFRTCAT (NIL T T T T) -9 NIL 2601362 NIL) (-1117 2589563 2590581 2591717 "SFRGCD" 2595125 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1116 2582689 2583762 2584948 "SFQCMPK" 2588496 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1115 2582309 2582398 2582509 "SFORT" 2582630 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1114 2581427 2582149 2582270 "SEXOF" 2582275 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1113 2580534 2581308 2581376 "SEX" 2581381 T SEX (NIL) -8 NIL NIL NIL) (-1112 2576047 2576762 2576857 "SEXCAT" 2579794 NIL SEXCAT (NIL T T T T T) -9 NIL 2580372 NIL) (-1111 2573200 2575981 2576029 "SET" 2576034 NIL SET (NIL T) -8 NIL NIL NIL) (-1110 2571424 2571913 2572218 "SETMN" 2572941 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1109 2570920 2571072 2571102 "SETCAT" 2571278 T SETCAT (NIL) -9 NIL 2571388 NIL) (-1108 2570612 2570690 2570820 "SETCAT-" 2570825 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1107 2566973 2569073 2569116 "SETAGG" 2569986 NIL SETAGG (NIL T) -9 NIL 2570326 NIL) (-1106 2566431 2566547 2566784 "SETAGG-" 2566789 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1105 2565874 2566127 2566228 "SEQAST" 2566352 T SEQAST (NIL) -8 NIL NIL NIL) (-1104 2565073 2565367 2565428 "SEGXCAT" 2565714 NIL SEGXCAT (NIL T T) -9 NIL 2565834 NIL) (-1103 2564079 2564739 2564921 "SEG" 2564926 NIL SEG (NIL T) -8 NIL NIL NIL) (-1102 2563058 2563272 2563315 "SEGCAT" 2563837 NIL SEGCAT (NIL T) -9 NIL 2564058 NIL) (-1101 2561990 2562421 2562629 "SEGBIND" 2562885 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1100 2561611 2561670 2561783 "SEGBIND2" 2561925 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1099 2561184 2561412 2561489 "SEGAST" 2561556 T SEGAST (NIL) -8 NIL NIL NIL) (-1098 2560403 2560529 2560733 "SEG2" 2561028 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1097 2559813 2560338 2560385 "SDVAR" 2560390 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1096 2552340 2559583 2559713 "SDPOL" 2559718 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1095 2550933 2551199 2551518 "SCPKG" 2552055 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1094 2550097 2550269 2550461 "SCOPE" 2550763 T SCOPE (NIL) -8 NIL NIL NIL) (-1093 2549317 2549451 2549630 "SCACHE" 2549952 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1092 2548963 2549149 2549179 "SASTCAT" 2549184 T SASTCAT (NIL) -9 NIL 2549197 NIL) (-1091 2548450 2548798 2548874 "SAOS" 2548909 T SAOS (NIL) -8 NIL NIL NIL) (-1090 2548015 2548050 2548223 "SAERFFC" 2548409 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1089 2541954 2547912 2547992 "SAE" 2547997 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1088 2541547 2541582 2541741 "SAEFACT" 2541913 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1087 2539868 2540182 2540583 "RURPK" 2541213 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1086 2538505 2538811 2539116 "RULESET" 2539702 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1085 2535728 2536258 2536716 "RULE" 2538186 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1084 2535340 2535522 2535605 "RULECOLD" 2535680 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1083 2535130 2535158 2535229 "RTVALUE" 2535291 T RTVALUE (NIL) -8 NIL NIL NIL) (-1082 2534601 2534847 2534941 "RSTRCAST" 2535058 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1081 2529449 2530244 2531164 "RSETGCD" 2533800 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1080 2518679 2523758 2523855 "RSETCAT" 2527974 NIL RSETCAT (NIL T T T T) -9 NIL 2529071 NIL) (-1079 2516606 2517145 2517969 "RSETCAT-" 2517974 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1078 2508992 2510368 2511888 "RSDCMPK" 2515205 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1077 2506971 2507438 2507512 "RRCC" 2508598 NIL RRCC (NIL T T) -9 NIL 2508942 NIL) (-1076 2506322 2506496 2506775 "RRCC-" 2506780 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1075 2505765 2506018 2506119 "RPTAST" 2506243 T RPTAST (NIL) -8 NIL NIL NIL) (-1074 2479611 2488970 2489037 "RPOLCAT" 2499703 NIL RPOLCAT (NIL T T T) -9 NIL 2502863 NIL) (-1073 2471109 2473449 2476571 "RPOLCAT-" 2476576 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1072 2462040 2469320 2469802 "ROUTINE" 2470649 T ROUTINE (NIL) -8 NIL NIL NIL) (-1071 2458838 2461666 2461806 "ROMAN" 2461922 T ROMAN (NIL) -8 NIL NIL NIL) (-1070 2457082 2457698 2457958 "ROIRC" 2458643 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1069 2453314 2455598 2455628 "RNS" 2455932 T RNS (NIL) -9 NIL 2456206 NIL) (-1068 2451823 2452206 2452740 "RNS-" 2452815 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1067 2451226 2451634 2451664 "RNG" 2451669 T RNG (NIL) -9 NIL 2451690 NIL) (-1066 2450229 2450591 2450793 "RNGBIND" 2451077 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1065 2449628 2450016 2450059 "RMODULE" 2450064 NIL RMODULE (NIL T) -9 NIL 2450091 NIL) (-1064 2448464 2448558 2448894 "RMCAT2" 2449529 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1063 2445314 2447810 2448107 "RMATRIX" 2448226 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1062 2438141 2440401 2440516 "RMATCAT" 2443875 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2444857 NIL) (-1061 2437516 2437663 2437970 "RMATCAT-" 2437975 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1060 2436917 2437138 2437181 "RLINSET" 2437375 NIL RLINSET (NIL T) -9 NIL 2437466 NIL) (-1059 2436484 2436559 2436687 "RINTERP" 2436836 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1058 2435542 2436096 2436126 "RING" 2436182 T RING (NIL) -9 NIL 2436274 NIL) (-1057 2435334 2435378 2435475 "RING-" 2435480 NIL RING- (NIL T) -8 NIL NIL NIL) (-1056 2434175 2434412 2434670 "RIDIST" 2435098 T RIDIST (NIL) -7 NIL NIL NIL) (-1055 2425464 2433643 2433849 "RGCHAIN" 2434023 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1054 2424814 2425220 2425261 "RGBCSPC" 2425319 NIL RGBCSPC (NIL T) -9 NIL 2425371 NIL) (-1053 2423972 2424353 2424394 "RGBCMDL" 2424626 NIL RGBCMDL (NIL T) -9 NIL 2424740 NIL) (-1052 2420966 2421580 2422250 "RF" 2423336 NIL RF (NIL T) -7 NIL NIL NIL) (-1051 2420612 2420675 2420778 "RFFACTOR" 2420897 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1050 2420337 2420372 2420469 "RFFACT" 2420571 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1049 2418454 2418818 2419200 "RFDIST" 2419977 T RFDIST (NIL) -7 NIL NIL NIL) (-1048 2417907 2417999 2418162 "RETSOL" 2418356 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1047 2417543 2417623 2417666 "RETRACT" 2417799 NIL RETRACT (NIL T) -9 NIL 2417886 NIL) (-1046 2417392 2417417 2417504 "RETRACT-" 2417509 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1045 2416994 2417214 2417284 "RETAST" 2417344 T RETAST (NIL) -8 NIL NIL NIL) (-1044 2409732 2416647 2416774 "RESULT" 2416889 T RESULT (NIL) -8 NIL NIL NIL) (-1043 2408323 2409001 2409200 "RESRING" 2409635 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1042 2407959 2408008 2408106 "RESLATC" 2408260 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1041 2407664 2407699 2407806 "REPSQ" 2407918 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1040 2405086 2405666 2406268 "REP" 2407084 T REP (NIL) -7 NIL NIL NIL) (-1039 2404783 2404818 2404929 "REPDB" 2405045 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1038 2398683 2400072 2401295 "REP2" 2403595 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1037 2395060 2395741 2396549 "REP1" 2397910 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1036 2387756 2393201 2393657 "REGSET" 2394690 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1035 2386521 2386904 2387154 "REF" 2387541 NIL REF (NIL T) -8 NIL NIL NIL) (-1034 2385898 2386001 2386168 "REDORDER" 2386405 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1033 2381866 2385111 2385338 "RECLOS" 2385726 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1032 2380918 2381099 2381314 "REALSOLV" 2381673 T REALSOLV (NIL) -7 NIL NIL NIL) (-1031 2380764 2380805 2380835 "REAL" 2380840 T REAL (NIL) -9 NIL 2380875 NIL) (-1030 2377247 2378049 2378933 "REAL0Q" 2379929 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1029 2372848 2373836 2374897 "REAL0" 2376228 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1028 2372319 2372565 2372659 "RDUCEAST" 2372776 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1027 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(-861 1995929 1998213 1998334 "OREUP" 1998339 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-860 1993332 1995620 1995747 "ORESUP" 1995871 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-859 1990860 1991360 1991921 "OREPCTO" 1992821 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-858 1984546 1986747 1986788 "OREPCAT" 1989136 NIL OREPCAT (NIL T) -9 NIL 1990240 NIL) (-857 1981693 1982475 1983533 "OREPCAT-" 1983538 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-856 1980844 1981142 1981170 "ORDSET" 1981479 T ORDSET (NIL) -9 NIL 1981643 NIL) (-855 1980275 1980423 1980647 "ORDSET-" 1980652 NIL ORDSET- (NIL T) -8 NIL NIL NIL) (-854 1978840 1979631 1979659 "ORDRING" 1979861 T ORDRING (NIL) -9 NIL 1979986 NIL) (-853 1978485 1978579 1978723 "ORDRING-" 1978728 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-852 1977865 1978328 1978356 "ORDMON" 1978361 T ORDMON (NIL) -9 NIL 1978382 NIL) (-851 1977027 1977174 1977369 "ORDFUNS" 1977714 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-850 1976365 1976784 1976812 "ORDFIN" 1976877 T ORDFIN (NIL) -9 NIL 1976951 NIL) (-849 1972924 1974951 1975360 "ORDCOMP" 1975989 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-848 1972190 1972317 1972503 "ORDCOMP2" 1972784 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-847 1968771 1969681 1970495 "OPTPROB" 1971396 T OPTPROB (NIL) -8 NIL NIL NIL) (-846 1965573 1966212 1966916 "OPTPACK" 1968087 T OPTPACK (NIL) -7 NIL NIL NIL) (-845 1963260 1964026 1964054 "OPTCAT" 1964873 T OPTCAT (NIL) -9 NIL 1965523 NIL) (-844 1962644 1962937 1963042 "OPSIG" 1963175 T OPSIG (NIL) -8 NIL NIL NIL) (-843 1962412 1962451 1962517 "OPQUERY" 1962598 T OPQUERY (NIL) -7 NIL NIL NIL) (-842 1959543 1960723 1961227 "OP" 1961941 NIL OP (NIL T) -8 NIL NIL NIL) (-841 1958917 1959143 1959184 "OPERCAT" 1959396 NIL OPERCAT (NIL T) -9 NIL 1959493 NIL) (-840 1958672 1958728 1958845 "OPERCAT-" 1958850 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-839 1955485 1957469 1957838 "ONECOMP" 1958336 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-838 1954790 1954905 1955079 "ONECOMP2" 1955357 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-837 1954209 1954315 1954445 "OMSERVER" 1954680 T OMSERVER (NIL) -7 NIL NIL NIL) (-836 1951071 1953649 1953689 "OMSAGG" 1953750 NIL OMSAGG (NIL T) -9 NIL 1953814 NIL) (-835 1949694 1949957 1950239 "OMPKG" 1950809 T OMPKG (NIL) -7 NIL NIL NIL) (-834 1949124 1949227 1949255 "OM" 1949554 T OM (NIL) -9 NIL NIL NIL) (-833 1947671 1948673 1948842 "OMLO" 1949005 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-832 1946631 1946778 1946998 "OMEXPR" 1947497 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-831 1945922 1946177 1946313 "OMERR" 1946515 T OMERR (NIL) -8 NIL NIL NIL) (-830 1945073 1945343 1945503 "OMERRK" 1945782 T OMERRK (NIL) -8 NIL NIL NIL) (-829 1944524 1944750 1944858 "OMENC" 1944985 T OMENC (NIL) -8 NIL NIL NIL) (-828 1938419 1939604 1940775 "OMDEV" 1943373 T OMDEV (NIL) -8 NIL NIL NIL) (-827 1937488 1937659 1937853 "OMCONN" 1938245 T OMCONN (NIL) -8 NIL NIL NIL) (-826 1936009 1936985 1937013 "OINTDOM" 1937018 T OINTDOM (NIL) -9 NIL 1937039 NIL) (-825 1933347 1934697 1935034 "OFMONOID" 1935704 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-824 1932758 1933284 1933329 "ODVAR" 1933334 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-823 1930181 1932503 1932658 "ODR" 1932663 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-822 1922762 1929957 1930083 "ODPOL" 1930088 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-821 1916584 1922634 1922739 "ODP" 1922744 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-820 1915350 1915565 1915840 "ODETOOLS" 1916358 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-819 1912317 1912975 1913691 "ODESYS" 1914683 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-818 1907199 1908107 1909132 "ODERTRIC" 1911392 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-817 1906625 1906707 1906901 "ODERED" 1907111 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-816 1903513 1904061 1904738 "ODERAT" 1906048 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-815 1900472 1900937 1901534 "ODEPRRIC" 1903042 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-814 1898415 1899011 1899497 "ODEPROB" 1900006 T ODEPROB (NIL) -8 NIL NIL NIL) (-813 1894935 1895420 1896067 "ODEPRIM" 1897894 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-812 1894184 1894286 1894546 "ODEPAL" 1894827 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-811 1890346 1891137 1892001 "ODEPACK" 1893340 T ODEPACK (NIL) -7 NIL NIL NIL) (-810 1889407 1889514 1889736 "ODEINT" 1890235 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-809 1883508 1884933 1886380 "ODEIFTBL" 1887980 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-808 1878906 1879692 1880644 "ODEEF" 1882667 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-807 1878255 1878344 1878567 "ODECONST" 1878811 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-806 1876380 1877041 1877069 "ODECAT" 1877674 T ODECAT (NIL) -9 NIL 1878205 NIL) (-805 1873235 1876085 1876207 "OCT" 1876290 NIL OCT (NIL T) -8 NIL NIL NIL) (-804 1872873 1872916 1873043 "OCTCT2" 1873186 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-803 1867522 1869957 1869997 "OC" 1871094 NIL OC (NIL T) -9 NIL 1871952 NIL) (-802 1864749 1865497 1866487 "OC-" 1866581 NIL OC- (NIL T T) -8 NIL NIL NIL) (-801 1864101 1864569 1864597 "OCAMON" 1864602 T OCAMON (NIL) -9 NIL 1864623 NIL) (-800 1863632 1863973 1864001 "OASGP" 1864006 T OASGP (NIL) -9 NIL 1864026 NIL) (-799 1862893 1863382 1863410 "OAMONS" 1863450 T OAMONS (NIL) -9 NIL 1863493 NIL) (-798 1862307 1862740 1862768 "OAMON" 1862773 T OAMON (NIL) -9 NIL 1862793 NIL) (-797 1861565 1862083 1862111 "OAGROUP" 1862116 T OAGROUP (NIL) -9 NIL 1862136 NIL) (-796 1861255 1861305 1861393 "NUMTUBE" 1861509 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-795 1854828 1856346 1857882 "NUMQUAD" 1859739 T NUMQUAD (NIL) -7 NIL NIL NIL) (-794 1850584 1851572 1852597 "NUMODE" 1853823 T NUMODE (NIL) -7 NIL NIL NIL) (-793 1847939 1848819 1848847 "NUMINT" 1849770 T NUMINT (NIL) -9 NIL 1850534 NIL) (-792 1846887 1847084 1847302 "NUMFMT" 1847741 T NUMFMT (NIL) -7 NIL NIL NIL) (-791 1833246 1836191 1838723 "NUMERIC" 1844394 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-790 1827616 1832695 1832790 "NTSCAT" 1832795 NIL NTSCAT (NIL T T T T) -9 NIL 1832834 NIL) (-789 1826810 1826975 1827168 "NTPOLFN" 1827455 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-788 1814887 1823635 1824447 "NSUP" 1826031 NIL NSUP (NIL T) -8 NIL NIL NIL) (-787 1814519 1814576 1814685 "NSUP2" 1814824 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-786 1804745 1814293 1814426 "NSMP" 1814431 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-785 1803177 1803478 1803835 "NREP" 1804433 NIL NREP (NIL T) -7 NIL NIL NIL) (-784 1801768 1802020 1802378 "NPCOEF" 1802920 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-783 1800834 1800949 1801165 "NORMRETR" 1801649 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-782 1798875 1799165 1799574 "NORMPK" 1800542 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-781 1798560 1798588 1798712 "NORMMA" 1798841 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-780 1798360 1798517 1798546 "NONE" 1798551 T NONE (NIL) -8 NIL NIL NIL) (-779 1798149 1798178 1798247 "NONE1" 1798324 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-778 1797646 1797708 1797887 "NODE1" 1798081 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-777 1795931 1796782 1797037 "NNI" 1797384 T NNI (NIL) -8 NIL NIL 1797619) (-776 1794351 1794664 1795028 "NLINSOL" 1795599 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-775 1790592 1791587 1792486 "NIPROB" 1793472 T NIPROB (NIL) -8 NIL NIL NIL) (-774 1789349 1789583 1789885 "NFINTBAS" 1790354 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-773 1788523 1788999 1789040 "NETCLT" 1789212 NIL NETCLT (NIL T) -9 NIL 1789294 NIL) (-772 1787231 1787462 1787743 "NCODIV" 1788291 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-771 1786993 1787030 1787105 "NCNTFRAC" 1787188 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-770 1785173 1785537 1785957 "NCEP" 1786618 NIL NCEP (NIL T) -7 NIL NIL NIL) (-769 1784024 1784797 1784825 "NASRING" 1784935 T NASRING (NIL) -9 NIL 1785015 NIL) (-768 1783819 1783863 1783957 "NASRING-" 1783962 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-767 1782926 1783451 1783479 "NARNG" 1783596 T NARNG (NIL) -9 NIL 1783687 NIL) (-766 1782618 1782685 1782819 "NARNG-" 1782824 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-765 1781497 1781704 1781939 "NAGSP" 1782403 T NAGSP (NIL) -7 NIL NIL NIL) (-764 1772769 1774453 1776126 "NAGS" 1779844 T NAGS (NIL) -7 NIL NIL NIL) (-763 1771317 1771625 1771956 "NAGF07" 1772458 T NAGF07 (NIL) -7 NIL NIL NIL) (-762 1765855 1767146 1768453 "NAGF04" 1770030 T NAGF04 (NIL) -7 NIL NIL NIL) (-761 1758823 1760437 1762070 "NAGF02" 1764242 T NAGF02 (NIL) -7 NIL NIL NIL) (-760 1754047 1755147 1756264 "NAGF01" 1757726 T NAGF01 (NIL) -7 NIL NIL NIL) (-759 1747675 1749241 1750826 "NAGE04" 1752482 T NAGE04 (NIL) -7 NIL NIL NIL) (-758 1738844 1740965 1743095 "NAGE02" 1745565 T NAGE02 (NIL) -7 NIL NIL NIL) (-757 1734797 1735744 1736708 "NAGE01" 1737900 T NAGE01 (NIL) -7 NIL NIL NIL) (-756 1732592 1733126 1733684 "NAGD03" 1734259 T NAGD03 (NIL) -7 NIL NIL NIL) (-755 1724342 1726270 1728224 "NAGD02" 1730658 T NAGD02 (NIL) -7 NIL NIL NIL) (-754 1718153 1719578 1721018 "NAGD01" 1722922 T NAGD01 (NIL) -7 NIL NIL NIL) (-753 1714362 1715184 1716021 "NAGC06" 1717336 T NAGC06 (NIL) -7 NIL NIL NIL) (-752 1712827 1713159 1713515 "NAGC05" 1714026 T NAGC05 (NIL) -7 NIL NIL NIL) (-751 1712203 1712322 1712466 "NAGC02" 1712703 T NAGC02 (NIL) -7 NIL NIL NIL) (-750 1711162 1711745 1711785 "NAALG" 1711864 NIL NAALG (NIL T) -9 NIL 1711925 NIL) (-749 1710997 1711026 1711116 "NAALG-" 1711121 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-748 1704947 1706055 1707242 "MULTSQFR" 1709893 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-747 1704266 1704341 1704525 "MULTFACT" 1704859 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-746 1696990 1700903 1700956 "MTSCAT" 1702026 NIL MTSCAT (NIL T T) -9 NIL 1702541 NIL) (-745 1696702 1696756 1696848 "MTHING" 1696930 NIL MTHING (NIL T) -7 NIL NIL NIL) (-744 1696494 1696527 1696587 "MSYSCMD" 1696662 T MSYSCMD (NIL) -7 NIL NIL NIL) (-743 1692576 1695249 1695569 "MSET" 1696207 NIL MSET (NIL T) -8 NIL NIL NIL) (-742 1689645 1692137 1692178 "MSETAGG" 1692183 NIL MSETAGG (NIL T) -9 NIL 1692217 NIL) (-741 1685487 1687024 1687769 "MRING" 1688945 NIL MRING (NIL T T) -8 NIL NIL NIL) (-740 1685053 1685120 1685251 "MRF2" 1685414 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-739 1684671 1684706 1684850 "MRATFAC" 1685012 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-738 1682283 1682578 1683009 "MPRFF" 1684376 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-737 1676580 1682137 1682234 "MPOLY" 1682239 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-736 1676070 1676105 1676313 "MPCPF" 1676539 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-735 1675584 1675627 1675811 "MPC3" 1676021 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-734 1674779 1674860 1675081 "MPC2" 1675499 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-733 1673080 1673417 1673807 "MONOTOOL" 1674439 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-732 1672305 1672622 1672650 "MONOID" 1672869 T MONOID (NIL) -9 NIL 1673016 NIL) (-731 1671851 1671970 1672151 "MONOID-" 1672156 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-730 1662326 1668277 1668336 "MONOGEN" 1669010 NIL MONOGEN (NIL T T) -9 NIL 1669466 NIL) (-729 1659544 1660279 1661279 "MONOGEN-" 1661398 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-728 1658377 1658823 1658851 "MONADWU" 1659243 T MONADWU (NIL) -9 NIL 1659481 NIL) (-727 1657749 1657908 1658156 "MONADWU-" 1658161 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-726 1657108 1657352 1657380 "MONAD" 1657587 T MONAD (NIL) -9 NIL 1657699 NIL) (-725 1656793 1656871 1657003 "MONAD-" 1657008 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-724 1655082 1655706 1655985 "MOEBIUS" 1656546 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-723 1654360 1654764 1654804 "MODULE" 1654809 NIL MODULE (NIL T) -9 NIL 1654848 NIL) (-722 1653928 1654024 1654214 "MODULE-" 1654219 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-721 1651608 1652292 1652619 "MODRING" 1653752 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-720 1648552 1649713 1650234 "MODOP" 1651137 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-719 1647140 1647619 1647896 "MODMONOM" 1648415 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-718 1637184 1645431 1645845 "MODMON" 1646777 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-717 1634340 1636028 1636304 "MODFIELD" 1637059 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-716 1633317 1633621 1633811 "MMLFORM" 1634170 T MMLFORM (NIL) -8 NIL NIL NIL) (-715 1632843 1632886 1633065 "MMAP" 1633268 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-714 1630922 1631689 1631730 "MLO" 1632153 NIL MLO (NIL T) -9 NIL 1632395 NIL) (-713 1628288 1628804 1629406 "MLIFT" 1630403 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-712 1627679 1627763 1627917 "MKUCFUNC" 1628199 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-711 1627278 1627348 1627471 "MKRECORD" 1627602 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-710 1626325 1626487 1626715 "MKFUNC" 1627089 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-709 1625713 1625817 1625973 "MKFLCFN" 1626208 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-708 1624990 1625092 1625277 "MKBCFUNC" 1625606 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-707 1621697 1624544 1624680 "MINT" 1624874 T MINT (NIL) -8 NIL NIL NIL) (-706 1620509 1620752 1621029 "MHROWRED" 1621452 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-705 1615889 1619044 1619449 "MFLOAT" 1620124 T MFLOAT (NIL) -8 NIL NIL NIL) (-704 1615246 1615322 1615493 "MFINFACT" 1615801 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-703 1611561 1612409 1613293 "MESH" 1614382 T MESH (NIL) -7 NIL NIL NIL) (-702 1609951 1610263 1610616 "MDDFACT" 1611248 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-701 1606746 1609110 1609151 "MDAGG" 1609406 NIL MDAGG (NIL T) -9 NIL 1609549 NIL) (-700 1596486 1606039 1606246 "MCMPLX" 1606559 T MCMPLX (NIL) -8 NIL NIL NIL) (-699 1595623 1595769 1595970 "MCDEN" 1596335 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-698 1593513 1593783 1594163 "MCALCFN" 1595353 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-697 1592438 1592678 1592911 "MAYBE" 1593319 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-696 1590050 1590573 1591135 "MATSTOR" 1591909 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-695 1586007 1589422 1589670 "MATRIX" 1589835 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-694 1581773 1582480 1583216 "MATLIN" 1585364 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-693 1571879 1575065 1575142 "MATCAT" 1580022 NIL MATCAT (NIL T T T) -9 NIL 1581439 NIL) (-692 1568235 1569256 1570612 "MATCAT-" 1570617 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-691 1566829 1566982 1567315 "MATCAT2" 1568070 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-690 1564941 1565265 1565649 "MAPPKG3" 1566504 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-689 1563922 1564095 1564317 "MAPPKG2" 1564765 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-688 1562421 1562705 1563032 "MAPPKG1" 1563628 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-687 1561500 1561827 1562004 "MAPPAST" 1562264 T MAPPAST (NIL) -8 NIL NIL NIL) (-686 1561111 1561169 1561292 "MAPHACK3" 1561436 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-685 1560703 1560764 1560878 "MAPHACK2" 1561043 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-684 1560141 1560244 1560386 "MAPHACK1" 1560594 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-683 1558220 1558841 1559145 "MAGMA" 1559869 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-682 1557699 1557944 1558035 "MACROAST" 1558149 T MACROAST (NIL) -8 NIL NIL NIL) (-681 1554117 1555938 1556399 "M3D" 1557271 NIL M3D (NIL T) -8 NIL NIL NIL) (-680 1548223 1552486 1552527 "LZSTAGG" 1553309 NIL LZSTAGG (NIL T) -9 NIL 1553604 NIL) (-679 1544181 1545354 1546811 "LZSTAGG-" 1546816 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-678 1541268 1542072 1542559 "LWORD" 1543726 NIL LWORD (NIL T) -8 NIL NIL NIL) (-677 1540844 1541072 1541147 "LSTAST" 1541213 T LSTAST (NIL) -8 NIL NIL NIL) (-676 1534010 1540615 1540749 "LSQM" 1540754 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-675 1533234 1533373 1533601 "LSPP" 1533865 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-674 1531046 1531347 1531803 "LSMP" 1532923 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-673 1527825 1528499 1529229 "LSMP1" 1530348 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-672 1521702 1526992 1527033 "LSAGG" 1527095 NIL LSAGG (NIL T) -9 NIL 1527173 NIL) (-671 1518397 1519321 1520534 "LSAGG-" 1520539 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-670 1515996 1517541 1517790 "LPOLY" 1518192 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-669 1515578 1515663 1515786 "LPEFRAC" 1515905 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-668 1513899 1514672 1514925 "LO" 1515410 NIL LO (NIL T T T) -8 NIL NIL NIL) (-667 1513551 1513663 1513691 "LOGIC" 1513802 T LOGIC (NIL) -9 NIL 1513883 NIL) (-666 1513413 1513436 1513507 "LOGIC-" 1513512 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-665 1512606 1512746 1512939 "LODOOPS" 1513269 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-664 1510029 1512522 1512588 "LODO" 1512593 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-663 1508567 1508802 1509155 "LODOF" 1509776 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-662 1504785 1507216 1507257 "LODOCAT" 1507695 NIL LODOCAT (NIL T) -9 NIL 1507906 NIL) (-661 1504518 1504576 1504703 "LODOCAT-" 1504708 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-660 1501838 1504359 1504477 "LODO2" 1504482 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-659 1499273 1501775 1501820 "LODO1" 1501825 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-658 1498154 1498319 1498624 "LODEEF" 1499096 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-657 1493393 1496284 1496325 "LNAGG" 1497272 NIL LNAGG (NIL T) -9 NIL 1497716 NIL) (-656 1492540 1492754 1493096 "LNAGG-" 1493101 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-655 1488676 1489465 1490104 "LMOPS" 1491955 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-654 1488079 1488467 1488508 "LMODULE" 1488513 NIL LMODULE (NIL T) -9 NIL 1488539 NIL) (-653 1485277 1487724 1487847 "LMDICT" 1487989 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-652 1484683 1484904 1484945 "LLINSET" 1485136 NIL LLINSET (NIL T) -9 NIL 1485227 NIL) (-651 1484382 1484591 1484651 "LITERAL" 1484656 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-650 1477545 1483316 1483620 "LIST" 1484111 NIL LIST (NIL T) -8 NIL NIL NIL) (-649 1477070 1477144 1477283 "LIST3" 1477465 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-648 1476077 1476255 1476483 "LIST2" 1476888 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-647 1474211 1474523 1474922 "LIST2MAP" 1475724 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-646 1473807 1474044 1474085 "LINSET" 1474090 NIL LINSET (NIL T) -9 NIL 1474124 NIL) (-645 1472468 1473138 1473179 "LINEXP" 1473434 NIL LINEXP (NIL T) -9 NIL 1473583 NIL) (-644 1471115 1471375 1471672 "LINDEP" 1472220 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-643 1467882 1468601 1469378 "LIMITRF" 1470370 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-642 1466185 1466481 1466890 "LIMITPS" 1467577 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-641 1460613 1465696 1465924 "LIE" 1466006 NIL LIE (NIL T T) -8 NIL NIL NIL) (-640 1459561 1460030 1460070 "LIECAT" 1460210 NIL LIECAT (NIL T) -9 NIL 1460361 NIL) (-639 1459402 1459429 1459517 "LIECAT-" 1459522 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-638 1451898 1458851 1459016 "LIB" 1459257 T LIB (NIL) -8 NIL NIL NIL) (-637 1447533 1448416 1449351 "LGROBP" 1451015 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-636 1445531 1445805 1446155 "LF" 1447254 NIL LF (NIL T T) -7 NIL NIL NIL) (-635 1444371 1445063 1445091 "LFCAT" 1445298 T LFCAT (NIL) -9 NIL 1445437 NIL) (-634 1441273 1441903 1442591 "LEXTRIPK" 1443735 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-633 1438017 1438843 1439346 "LEXP" 1440853 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-632 1437493 1437738 1437830 "LETAST" 1437945 T LETAST (NIL) -8 NIL NIL NIL) (-631 1435891 1436204 1436605 "LEADCDET" 1437175 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-630 1435081 1435155 1435384 "LAZM3PK" 1435812 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-629 1429998 1433158 1433696 "LAUPOL" 1434593 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-628 1429577 1429621 1429782 "LAPLACE" 1429948 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-627 1427516 1428678 1428929 "LA" 1429410 NIL LA (NIL T T T) -8 NIL NIL NIL) (-626 1426510 1427094 1427135 "LALG" 1427197 NIL LALG (NIL T) -9 NIL 1427256 NIL) (-625 1426224 1426283 1426419 "LALG-" 1426424 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-624 1426059 1426083 1426124 "KVTFROM" 1426186 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-623 1424982 1425426 1425611 "KTVLOGIC" 1425894 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-622 1424817 1424841 1424882 "KRCFROM" 1424944 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-621 1423721 1423908 1424207 "KOVACIC" 1424617 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-620 1423556 1423580 1423621 "KONVERT" 1423683 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-619 1423391 1423415 1423456 "KOERCE" 1423518 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-618 1421221 1421984 1422361 "KERNEL" 1423047 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-617 1420717 1420798 1420930 "KERNEL2" 1421135 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-616 1414487 1419256 1419310 "KDAGG" 1419687 NIL KDAGG (NIL T T) -9 NIL 1419893 NIL) (-615 1414016 1414140 1414345 "KDAGG-" 1414350 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-614 1407164 1413677 1413832 "KAFILE" 1413894 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-613 1401592 1406675 1406903 "JORDAN" 1406985 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-612 1400971 1401241 1401362 "JOINAST" 1401491 T JOINAST (NIL) -8 NIL NIL NIL) (-611 1400817 1400876 1400931 "JAVACODE" 1400936 T JAVACODE (NIL) -8 NIL NIL NIL) (-610 1397069 1399022 1399076 "IXAGG" 1400005 NIL IXAGG (NIL T T) -9 NIL 1400464 NIL) (-609 1395988 1396294 1396713 "IXAGG-" 1396718 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-608 1391518 1395910 1395969 "IVECTOR" 1395974 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-607 1390284 1390521 1390787 "ITUPLE" 1391285 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-606 1388786 1388963 1389258 "ITRIGMNP" 1390106 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-605 1387531 1387735 1388018 "ITFUN3" 1388562 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-604 1387163 1387220 1387329 "ITFUN2" 1387468 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-603 1386322 1386643 1386817 "ITFORM" 1387009 T ITFORM (NIL) -8 NIL NIL NIL) (-602 1384283 1385342 1385620 "ITAYLOR" 1386077 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-601 1373228 1378420 1379583 "ISUPS" 1383153 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-600 1372332 1372472 1372708 "ISUMP" 1373075 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-599 1367707 1372277 1372318 "ISTRING" 1372323 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-598 1367183 1367428 1367520 "ISAST" 1367635 T ISAST (NIL) -8 NIL NIL NIL) (-597 1366392 1366474 1366690 "IRURPK" 1367097 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-596 1365328 1365529 1365769 "IRSN" 1366172 T IRSN (NIL) -7 NIL NIL NIL) (-595 1363399 1363754 1364183 "IRRF2F" 1364966 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-594 1363146 1363184 1363260 "IRREDFFX" 1363355 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-593 1361761 1362020 1362319 "IROOT" 1362879 NIL IROOT (NIL T) -7 NIL NIL NIL) (-592 1358365 1359445 1360137 "IR" 1361101 NIL IR (NIL T) -8 NIL NIL NIL) (-591 1357570 1357858 1358009 "IRFORM" 1358234 T IRFORM (NIL) -8 NIL NIL NIL) (-590 1355183 1355678 1356244 "IR2" 1357048 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-589 1354283 1354396 1354610 "IR2F" 1355066 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-588 1354074 1354108 1354168 "IPRNTPK" 1354243 T IPRNTPK (NIL) -7 NIL NIL NIL) (-587 1350655 1353963 1354032 "IPF" 1354037 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-586 1348982 1350580 1350637 "IPADIC" 1350642 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-585 1348294 1348542 1348672 "IP4ADDR" 1348872 T IP4ADDR (NIL) -8 NIL NIL NIL) (-584 1347668 1347923 1348055 "IOMODE" 1348182 T IOMODE (NIL) -8 NIL NIL NIL) (-583 1346741 1347265 1347392 "IOBFILE" 1347561 T IOBFILE (NIL) -8 NIL NIL NIL) (-582 1346229 1346645 1346673 "IOBCON" 1346678 T IOBCON (NIL) -9 NIL 1346699 NIL) (-581 1345740 1345798 1345981 "INVLAPLA" 1346165 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-580 1335388 1337742 1340128 "INTTR" 1343404 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-579 1331723 1332465 1333330 "INTTOOLS" 1334573 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-578 1331309 1331400 1331517 "INTSLPE" 1331626 T INTSLPE (NIL) -7 NIL NIL NIL) (-577 1329262 1331232 1331291 "INTRVL" 1331296 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-576 1326864 1327376 1327951 "INTRF" 1328747 NIL INTRF (NIL T) -7 NIL NIL NIL) (-575 1326275 1326372 1326514 "INTRET" 1326762 NIL INTRET (NIL T) -7 NIL NIL NIL) (-574 1324272 1324661 1325131 "INTRAT" 1325883 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-573 1321535 1322118 1322737 "INTPM" 1323757 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-572 1318280 1318879 1319617 "INTPAF" 1320921 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-571 1313459 1314421 1315472 "INTPACK" 1317249 T INTPACK (NIL) -7 NIL NIL NIL) (-570 1310407 1313256 1313365 "INT" 1313370 T INT (NIL) -8 NIL NIL NIL) (-569 1309659 1309811 1310019 "INTHERTR" 1310249 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-568 1309098 1309178 1309366 "INTHERAL" 1309573 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-567 1306944 1307387 1307844 "INTHEORY" 1308661 T INTHEORY (NIL) -7 NIL NIL NIL) (-566 1298350 1299971 1301743 "INTG0" 1305296 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-565 1278923 1283713 1288523 "INTFTBL" 1293560 T INTFTBL (NIL) -8 NIL NIL NIL) (-564 1278172 1278310 1278483 "INTFACT" 1278782 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-563 1275599 1276045 1276602 "INTEF" 1277726 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-562 1273966 1274705 1274733 "INTDOM" 1275034 T INTDOM (NIL) -9 NIL 1275241 NIL) (-561 1273335 1273509 1273751 "INTDOM-" 1273756 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-560 1269723 1271651 1271705 "INTCAT" 1272504 NIL INTCAT (NIL T) -9 NIL 1272825 NIL) (-559 1269195 1269298 1269426 "INTBIT" 1269615 T INTBIT (NIL) -7 NIL NIL NIL) (-558 1267894 1268048 1268355 "INTALG" 1269040 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-557 1267377 1267467 1267624 "INTAF" 1267798 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-556 1260720 1267187 1267327 "INTABL" 1267332 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-555 1260061 1260527 1260592 "INT8" 1260626 T INT8 (NIL) -8 NIL NIL 1260671) (-554 1259401 1259867 1259932 "INT64" 1259966 T INT64 (NIL) -8 NIL NIL 1260011) (-553 1258741 1259207 1259272 "INT32" 1259306 T INT32 (NIL) -8 NIL NIL 1259351) (-552 1258081 1258547 1258612 "INT16" 1258646 T INT16 (NIL) -8 NIL NIL 1258691) (-551 1252991 1255704 1255732 "INS" 1256666 T INS (NIL) -9 NIL 1257331 NIL) (-550 1250231 1251002 1251976 "INS-" 1252049 NIL INS- (NIL T) -8 NIL NIL NIL) (-549 1249006 1249233 1249531 "INPSIGN" 1249984 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-548 1248124 1248241 1248438 "INPRODPF" 1248886 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-547 1247018 1247135 1247372 "INPRODFF" 1248004 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-546 1246018 1246170 1246430 "INNMFACT" 1246854 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-545 1245215 1245312 1245500 "INMODGCD" 1245917 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-544 1243723 1243968 1244292 "INFSP" 1244960 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-543 1242907 1243024 1243207 "INFPROD0" 1243603 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-542 1239762 1240972 1241487 "INFORM" 1242400 T INFORM (NIL) -8 NIL NIL NIL) (-541 1239372 1239432 1239530 "INFORM1" 1239697 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-540 1238895 1238984 1239098 "INFINITY" 1239278 T INFINITY (NIL) -7 NIL NIL NIL) (-539 1238071 1238615 1238716 "INETCLTS" 1238814 T INETCLTS (NIL) -8 NIL NIL NIL) (-538 1236687 1236937 1237258 "INEP" 1237819 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-537 1235936 1236584 1236649 "INDE" 1236654 NIL INDE (NIL T) -8 NIL NIL NIL) (-536 1235500 1235568 1235685 "INCRMAPS" 1235863 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-535 1234318 1234769 1234975 "INBFILE" 1235314 T INBFILE (NIL) -8 NIL NIL NIL) (-534 1229617 1230554 1231498 "INBFF" 1233406 NIL INBFF (NIL T) -7 NIL NIL NIL) (-533 1228525 1228794 1228822 "INBCON" 1229335 T INBCON (NIL) -9 NIL 1229601 NIL) (-532 1227777 1228000 1228276 "INBCON-" 1228281 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-531 1227256 1227501 1227592 "INAST" 1227706 T INAST (NIL) -8 NIL NIL NIL) (-530 1226683 1226935 1227041 "IMPTAST" 1227170 T IMPTAST (NIL) -8 NIL NIL NIL) (-529 1223129 1226527 1226631 "IMATRIX" 1226636 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-528 1221837 1221960 1222276 "IMATQF" 1222985 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-527 1220057 1220284 1220621 "IMATLIN" 1221593 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-526 1214635 1219981 1220039 "ILIST" 1220044 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-525 1212540 1214495 1214608 "IIARRAY2" 1214613 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-524 1207938 1212451 1212515 "IFF" 1212520 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-523 1207285 1207555 1207671 "IFAST" 1207842 T IFAST (NIL) -8 NIL NIL NIL) (-522 1202280 1206577 1206765 "IFARRAY" 1207142 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-521 1201460 1202184 1202257 "IFAMON" 1202262 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-520 1201044 1201109 1201163 "IEVALAB" 1201370 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-519 1200719 1200787 1200947 "IEVALAB-" 1200952 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-518 1200350 1200633 1200696 "IDPO" 1200701 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-517 1199600 1200239 1200314 "IDPOAMS" 1200319 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-516 1198907 1199489 1199564 "IDPOAM" 1199569 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-515 1197966 1198242 1198295 "IDPC" 1198708 NIL IDPC (NIL T T) -9 NIL 1198857 NIL) (-514 1197435 1197858 1197931 "IDPAM" 1197936 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-513 1196811 1197327 1197400 "IDPAG" 1197405 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-512 1196456 1196647 1196722 "IDENT" 1196756 T IDENT (NIL) -8 NIL NIL NIL) (-511 1192711 1193559 1194454 "IDECOMP" 1195613 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-510 1185549 1186634 1187681 "IDEAL" 1191747 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-509 1184709 1184821 1185021 "ICDEN" 1185433 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-508 1183780 1184189 1184336 "ICARD" 1184582 T ICARD (NIL) -8 NIL NIL NIL) (-507 1181840 1182153 1182558 "IBPTOOLS" 1183457 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-506 1177447 1181460 1181573 "IBITS" 1181759 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-505 1174170 1174746 1175441 "IBATOOL" 1176864 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-504 1171949 1172411 1172944 "IBACHIN" 1173705 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-503 1169778 1171795 1171898 "IARRAY2" 1171903 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-502 1165884 1169704 1169761 "IARRAY1" 1169766 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-501 1159993 1164296 1164777 "IAN" 1165423 T IAN (NIL) -8 NIL NIL NIL) (-500 1159504 1159561 1159734 "IALGFACT" 1159930 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-499 1159032 1159145 1159173 "HYPCAT" 1159380 T HYPCAT (NIL) -9 NIL NIL NIL) (-498 1158570 1158687 1158873 "HYPCAT-" 1158878 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-497 1158165 1158365 1158448 "HOSTNAME" 1158507 T HOSTNAME (NIL) -8 NIL NIL NIL) (-496 1158010 1158047 1158088 "HOMOTOP" 1158093 NIL HOMOTOP (NIL T) -9 NIL 1158126 NIL) (-495 1154642 1156020 1156061 "HOAGG" 1157042 NIL HOAGG (NIL T) -9 NIL 1157721 NIL) (-494 1153236 1153635 1154161 "HOAGG-" 1154166 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-493 1147238 1152829 1152979 "HEXADEC" 1153106 T HEXADEC (NIL) -8 NIL NIL NIL) (-492 1145986 1146208 1146471 "HEUGCD" 1147015 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-491 1145062 1145823 1145953 "HELLFDIV" 1145958 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-490 1143241 1144839 1144927 "HEAP" 1145006 NIL HEAP (NIL T) -8 NIL NIL NIL) (-489 1142504 1142793 1142927 "HEADAST" 1143127 T HEADAST (NIL) -8 NIL NIL NIL) (-488 1136370 1142419 1142481 "HDP" 1142486 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-487 1130358 1136005 1136157 "HDMP" 1136271 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-486 1129682 1129822 1129986 "HB" 1130214 T HB (NIL) -7 NIL NIL NIL) (-485 1123068 1129528 1129632 "HASHTBL" 1129637 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-484 1122544 1122789 1122881 "HASAST" 1122996 T HASAST (NIL) -8 NIL NIL NIL) (-483 1120322 1122166 1122348 "HACKPI" 1122382 T HACKPI (NIL) -8 NIL NIL NIL) (-482 1115990 1120175 1120288 "GTSET" 1120293 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-481 1109405 1115868 1115966 "GSTBL" 1115971 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-480 1101683 1108436 1108701 "GSERIES" 1109196 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-479 1100824 1101241 1101269 "GROUP" 1101472 T GROUP (NIL) -9 NIL 1101606 NIL) (-478 1100190 1100349 1100600 "GROUP-" 1100605 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-477 1098557 1098878 1099265 "GROEBSOL" 1099867 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-476 1097471 1097759 1097810 "GRMOD" 1098339 NIL GRMOD (NIL T T) -9 NIL 1098507 NIL) (-475 1097239 1097275 1097403 "GRMOD-" 1097408 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-474 1092529 1093593 1094593 "GRIMAGE" 1096259 T GRIMAGE (NIL) -8 NIL NIL NIL) (-473 1090995 1091256 1091580 "GRDEF" 1092225 T GRDEF (NIL) -7 NIL NIL NIL) (-472 1090439 1090555 1090696 "GRAY" 1090874 T GRAY (NIL) -7 NIL NIL NIL) (-471 1089626 1090032 1090083 "GRALG" 1090236 NIL GRALG (NIL T T) -9 NIL 1090329 NIL) (-470 1089287 1089360 1089523 "GRALG-" 1089528 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-469 1086064 1088872 1089050 "GPOLSET" 1089194 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-468 1085418 1085475 1085733 "GOSPER" 1086001 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-467 1081150 1081856 1082382 "GMODPOL" 1085117 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-466 1080155 1080339 1080577 "GHENSEL" 1080962 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-465 1074311 1075154 1076174 "GENUPS" 1079239 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-464 1074008 1074059 1074148 "GENUFACT" 1074254 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-463 1073420 1073497 1073662 "GENPGCD" 1073926 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-462 1072894 1072929 1073142 "GENMFACT" 1073379 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-461 1071460 1071717 1072024 "GENEEZ" 1072637 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-460 1065608 1071071 1071233 "GDMP" 1071383 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-459 1054951 1059379 1060485 "GCNAALG" 1064591 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-458 1053278 1054140 1054168 "GCDDOM" 1054423 T GCDDOM (NIL) -9 NIL 1054580 NIL) (-457 1052748 1052875 1053090 "GCDDOM-" 1053095 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-456 1051420 1051605 1051909 "GB" 1052527 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-455 1040036 1042366 1044758 "GBINTERN" 1049111 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-454 1037873 1038165 1038586 "GBF" 1039711 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-453 1036654 1036819 1037086 "GBEUCLID" 1037689 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-452 1036003 1036128 1036277 "GAUSSFAC" 1036525 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-451 1034370 1034672 1034986 "GALUTIL" 1035722 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-450 1032678 1032952 1033276 "GALPOLYU" 1034097 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-449 1030043 1030333 1030740 "GALFACTU" 1032375 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-448 1021849 1023348 1024956 "GALFACT" 1028475 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-447 1019237 1019895 1019923 "FVFUN" 1021079 T FVFUN (NIL) -9 NIL 1021799 NIL) (-446 1018503 1018685 1018713 "FVC" 1019004 T FVC (NIL) -9 NIL 1019187 NIL) (-445 1018146 1018328 1018396 "FUNDESC" 1018455 T FUNDESC (NIL) -8 NIL NIL NIL) (-444 1017761 1017943 1018024 "FUNCTION" 1018098 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-443 1015505 1016083 1016549 "FT" 1017315 T FT (NIL) -8 NIL NIL NIL) (-442 1014296 1014806 1015009 "FTEM" 1015322 T FTEM (NIL) -8 NIL NIL NIL) (-441 1012587 1012876 1013273 "FSUPFACT" 1013987 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-440 1010984 1011273 1011605 "FST" 1012275 T FST (NIL) -8 NIL NIL NIL) (-439 1010183 1010289 1010477 "FSRED" 1010866 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-438 1008882 1009138 1009485 "FSPRMELT" 1009898 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-437 1006188 1006626 1007112 "FSPECF" 1008445 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-436 987826 996157 996198 "FS" 1000082 NIL FS (NIL T) -9 NIL 1002371 NIL) (-435 976469 979462 983519 "FS-" 983819 NIL FS- (NIL T T) -8 NIL NIL NIL) (-434 975997 976051 976221 "FSINT" 976410 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-433 974289 974990 975293 "FSERIES" 975776 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-432 973331 973447 973671 "FSCINT" 974169 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-431 969539 972275 972316 "FSAGG" 972686 NIL FSAGG (NIL T) -9 NIL 972945 NIL) (-430 967301 967902 968698 "FSAGG-" 968793 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-429 966343 966486 966713 "FSAGG2" 967154 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-428 964025 964305 964852 "FS2UPS" 966061 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-427 963659 963702 963831 "FS2" 963976 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-426 962537 962708 963010 "FS2EXPXP" 963484 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-425 961963 962078 962230 "FRUTIL" 962417 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-424 953376 957458 958816 "FR" 960637 NIL FR (NIL T) -8 NIL NIL NIL) (-423 948345 951019 951059 "FRNAALG" 952455 NIL FRNAALG (NIL T) -9 NIL 953062 NIL) (-422 944018 945094 946369 "FRNAALG-" 947119 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-421 943656 943699 943826 "FRNAAF2" 943969 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-420 942031 942505 942801 "FRMOD" 943468 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-419 939774 940406 940724 "FRIDEAL" 941822 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-418 938965 939052 939343 "FRIDEAL2" 939681 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-417 938098 938512 938553 "FRETRCT" 938558 NIL FRETRCT (NIL T) -9 NIL 938734 NIL) (-416 937210 937441 937792 "FRETRCT-" 937797 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-415 934298 935508 935567 "FRAMALG" 936449 NIL FRAMALG (NIL T T) -9 NIL 936741 NIL) (-414 932432 932887 933517 "FRAMALG-" 933740 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-413 926351 931905 932182 "FRAC" 932187 NIL FRAC (NIL T) -8 NIL NIL NIL) (-412 925987 926044 926151 "FRAC2" 926288 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-411 925623 925680 925787 "FR2" 925924 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-410 920136 923029 923057 "FPS" 924176 T FPS (NIL) -9 NIL 924733 NIL) (-409 919585 919694 919858 "FPS-" 920004 NIL FPS- (NIL T) -8 NIL NIL NIL) (-408 916887 918556 918584 "FPC" 918809 T FPC (NIL) -9 NIL 918951 NIL) (-407 916680 916720 916817 "FPC-" 916822 NIL FPC- (NIL T) -8 NIL NIL NIL) (-406 915470 916168 916209 "FPATMAB" 916214 NIL FPATMAB (NIL T) -9 NIL 916366 NIL) (-405 913143 913646 914072 "FPARFRAC" 915107 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-404 908537 909035 909717 "FORTRAN" 912575 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-403 906253 906753 907292 "FORT" 908018 T FORT (NIL) -7 NIL NIL NIL) (-402 903929 904491 904519 "FORTFN" 905579 T FORTFN (NIL) -9 NIL 906203 NIL) (-401 903693 903743 903771 "FORTCAT" 903830 T FORTCAT (NIL) -9 NIL 903892 NIL) (-400 901799 902309 902699 "FORMULA" 903323 T FORMULA (NIL) -8 NIL NIL NIL) (-399 901587 901617 901686 "FORMULA1" 901763 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-398 901110 901162 901335 "FORDER" 901529 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-397 900206 900370 900563 "FOP" 900937 T FOP (NIL) -7 NIL NIL NIL) (-396 898787 899486 899660 "FNLA" 900088 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-395 897516 897931 897959 "FNCAT" 898419 T FNCAT (NIL) -9 NIL 898679 NIL) (-394 897055 897475 897503 "FNAME" 897508 T FNAME (NIL) -8 NIL NIL NIL) (-393 895618 896581 896609 "FMTC" 896614 T FMTC (NIL) -9 NIL 896650 NIL) (-392 894364 895554 895600 "FMONOID" 895605 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-391 891192 892360 892401 "FMONCAT" 893618 NIL FMONCAT (NIL T) -9 NIL 894223 NIL) (-390 890384 890934 891083 "FM" 891088 NIL FM (NIL T T) -8 NIL NIL NIL) (-389 887808 888454 888482 "FMFUN" 889626 T FMFUN (NIL) -9 NIL 890334 NIL) (-388 887077 887258 887286 "FMC" 887576 T FMC (NIL) -9 NIL 887758 NIL) (-387 884156 885016 885070 "FMCAT" 886265 NIL FMCAT (NIL T T) -9 NIL 886760 NIL) (-386 883022 883922 884022 "FM1" 884101 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-385 880796 881212 881706 "FLOATRP" 882573 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-384 874374 878525 879146 "FLOAT" 880195 T FLOAT (NIL) -8 NIL NIL NIL) (-383 871812 872312 872890 "FLOATCP" 873841 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-382 870552 871390 871431 "FLINEXP" 871436 NIL FLINEXP (NIL T) -9 NIL 871529 NIL) (-381 869706 869941 870269 "FLINEXP-" 870274 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-380 868782 868926 869150 "FLASORT" 869558 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-379 865898 866766 866818 "FLALG" 868045 NIL FLALG (NIL T T) -9 NIL 868512 NIL) (-378 859634 863384 863425 "FLAGG" 864687 NIL FLAGG (NIL T) -9 NIL 865339 NIL) (-377 858360 858699 859189 "FLAGG-" 859194 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-376 857402 857545 857772 "FLAGG2" 858213 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-375 854253 855261 855320 "FINRALG" 856448 NIL FINRALG (NIL T T) -9 NIL 856956 NIL) (-374 853413 853642 853981 "FINRALG-" 853986 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-373 852793 853032 853060 "FINITE" 853256 T FINITE (NIL) -9 NIL 853363 NIL) (-372 845150 847337 847377 "FINAALG" 851044 NIL FINAALG (NIL T) -9 NIL 852497 NIL) (-371 840482 841532 842676 "FINAALG-" 844055 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-370 839850 840237 840340 "FILE" 840412 NIL FILE (NIL T) -8 NIL NIL NIL) (-369 838508 838846 838900 "FILECAT" 839584 NIL FILECAT (NIL T T) -9 NIL 839800 NIL) (-368 836224 837752 837780 "FIELD" 837820 T FIELD (NIL) -9 NIL 837900 NIL) (-367 834844 835229 835740 "FIELD-" 835745 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-366 832694 833479 833826 "FGROUP" 834530 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-365 831784 831948 832168 "FGLMICPK" 832526 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-364 827616 831709 831766 "FFX" 831771 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-363 827217 827278 827413 "FFSLPE" 827549 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-362 823207 823989 824785 "FFPOLY" 826453 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-361 822711 822747 822956 "FFPOLY2" 823165 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-360 818557 822630 822693 "FFP" 822698 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-359 813955 818468 818532 "FF" 818537 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-358 809081 813298 813488 "FFNBX" 813809 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-357 804009 808216 808474 "FFNBP" 808935 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-356 798642 803293 803504 "FFNB" 803842 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-355 797474 797672 797987 "FFINTBAS" 798439 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-354 793543 795763 795791 "FFIELDC" 796411 T FFIELDC (NIL) -9 NIL 796787 NIL) (-353 792205 792576 793073 "FFIELDC-" 793078 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-352 791774 791820 791944 "FFHOM" 792147 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-351 789469 789956 790473 "FFF" 791289 NIL FFF (NIL T) -7 NIL NIL NIL) (-350 785087 789211 789312 "FFCGX" 789412 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-349 780709 784819 784926 "FFCGP" 785030 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-348 775892 780436 780544 "FFCG" 780645 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-347 757288 766369 766455 "FFCAT" 771620 NIL FFCAT (NIL T T T) -9 NIL 773071 NIL) (-346 752485 753533 754847 "FFCAT-" 756077 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-345 751896 751939 752174 "FFCAT2" 752436 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-344 741219 744868 746088 "FEXPR" 750748 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-343 740219 740654 740695 "FEVALAB" 740779 NIL FEVALAB (NIL T) -9 NIL 741040 NIL) (-342 739378 739588 739926 "FEVALAB-" 739931 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-341 737944 738761 738964 "FDIV" 739277 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-340 734964 735705 735820 "FDIVCAT" 737388 NIL FDIVCAT (NIL T T T T) -9 NIL 737825 NIL) (-339 734726 734753 734923 "FDIVCAT-" 734928 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-338 733946 734033 734310 "FDIV2" 734633 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-337 732920 733241 733443 "FCTRDATA" 733764 T FCTRDATA (NIL) -8 NIL NIL NIL) (-336 731606 731865 732154 "FCPAK1" 732651 T FCPAK1 (NIL) -7 NIL NIL NIL) (-335 730705 731106 731247 "FCOMP" 731497 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-334 714410 717855 721393 "FC" 727187 T FC (NIL) -8 NIL NIL NIL) (-333 706773 710801 710841 "FAXF" 712643 NIL FAXF (NIL T) -9 NIL 713335 NIL) (-332 704050 704707 705532 "FAXF-" 705997 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-331 699102 703426 703602 "FARRAY" 703907 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-330 693996 696063 696116 "FAMR" 697139 NIL FAMR (NIL T T) -9 NIL 697599 NIL) (-329 692886 693188 693623 "FAMR-" 693628 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-328 692055 692808 692861 "FAMONOID" 692866 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-327 689841 690551 690604 "FAMONC" 691545 NIL FAMONC (NIL T T) -9 NIL 691931 NIL) (-326 688505 689595 689732 "FAGROUP" 689737 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-325 686300 686619 687022 "FACUTIL" 688186 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-324 685399 685584 685806 "FACTFUNC" 686110 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-323 677821 684702 684901 "EXPUPXS" 685255 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-322 675304 675844 676430 "EXPRTUBE" 677255 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-321 671575 672167 672897 "EXPRODE" 674643 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-320 657060 670224 670653 "EXPR" 671179 NIL EXPR (NIL T) -8 NIL NIL NIL) (-319 651614 652201 653007 "EXPR2UPS" 656358 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-318 651246 651303 651412 "EXPR2" 651551 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-317 642634 650397 650688 "EXPEXPAN" 651082 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-316 642434 642591 642620 "EXIT" 642625 T EXIT (NIL) -8 NIL NIL NIL) (-315 641914 642158 642249 "EXITAST" 642363 T EXITAST (NIL) -8 NIL NIL NIL) (-314 641541 641603 641716 "EVALCYC" 641846 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-313 641082 641200 641241 "EVALAB" 641411 NIL EVALAB (NIL T) -9 NIL 641515 NIL) (-312 640563 640685 640906 "EVALAB-" 640911 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-311 637931 639233 639261 "EUCDOM" 639816 T EUCDOM (NIL) -9 NIL 640166 NIL) (-310 636336 636778 637368 "EUCDOM-" 637373 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-309 623875 626634 629384 "ESTOOLS" 633606 T ESTOOLS (NIL) -7 NIL NIL NIL) (-308 623507 623564 623673 "ESTOOLS2" 623812 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-307 623258 623300 623380 "ESTOOLS1" 623459 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-306 617295 618903 618931 "ES" 621699 T ES (NIL) -9 NIL 623109 NIL) (-305 612242 613529 615346 "ES-" 615510 NIL ES- (NIL T) -8 NIL NIL NIL) (-304 608616 609377 610157 "ESCONT" 611482 T ESCONT (NIL) -7 NIL NIL NIL) (-303 608361 608393 608475 "ESCONT1" 608578 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-302 608036 608086 608186 "ES2" 608305 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-301 607666 607724 607833 "ES1" 607972 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-300 606882 607011 607187 "ERROR" 607510 T ERROR (NIL) -7 NIL NIL NIL) (-299 600274 606741 606832 "EQTBL" 606837 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-298 592777 595588 597037 "EQ" 598858 NIL -2198 (NIL T) -8 NIL NIL NIL) (-297 592409 592466 592575 "EQ2" 592714 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-296 587700 588747 589840 "EP" 591348 NIL EP (NIL T) -7 NIL NIL NIL) (-295 586300 586591 586897 "ENV" 587414 T ENV (NIL) -8 NIL NIL NIL) (-294 585394 585948 585976 "ENTIRER" 585981 T ENTIRER (NIL) -9 NIL 586027 NIL) (-293 581861 583349 583719 "EMR" 585193 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-292 581005 581190 581244 "ELTAGG" 581624 NIL ELTAGG (NIL T T) -9 NIL 581835 NIL) (-291 580724 580786 580927 "ELTAGG-" 580932 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-290 580513 580542 580596 "ELTAB" 580680 NIL ELTAB (NIL T T) -9 NIL NIL NIL) (-289 579639 579785 579984 "ELFUTS" 580364 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-288 579381 579437 579465 "ELEMFUN" 579570 T ELEMFUN (NIL) -9 NIL NIL NIL) (-287 579251 579272 579340 "ELEMFUN-" 579345 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-286 574095 577351 577392 "ELAGG" 578332 NIL ELAGG (NIL T) -9 NIL 578795 NIL) (-285 572380 572814 573477 "ELAGG-" 573482 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-284 571692 571829 571985 "ELABOR" 572244 T ELABOR (NIL) -8 NIL NIL NIL) (-283 570353 570632 570926 "ELABEXPR" 571418 T ELABEXPR (NIL) -8 NIL NIL NIL) (-282 563217 565020 565847 "EFUPXS" 569629 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-281 556667 558468 559278 "EFULS" 562493 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-280 554152 554510 554982 "EFSTRUC" 556299 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-279 543943 545509 547057 "EF" 552667 NIL EF (NIL T T) -7 NIL NIL NIL) (-278 543017 543428 543577 "EAB" 543814 T EAB (NIL) -8 NIL NIL NIL) (-277 542199 542976 543004 "E04UCFA" 543009 T E04UCFA (NIL) -8 NIL NIL NIL) (-276 541381 542158 542186 "E04NAFA" 542191 T E04NAFA (NIL) -8 NIL NIL NIL) (-275 540563 541340 541368 "E04MBFA" 541373 T E04MBFA (NIL) -8 NIL NIL NIL) (-274 539745 540522 540550 "E04JAFA" 540555 T E04JAFA (NIL) -8 NIL NIL NIL) (-273 538929 539704 539732 "E04GCFA" 539737 T E04GCFA (NIL) -8 NIL NIL NIL) (-272 538113 538888 538916 "E04FDFA" 538921 T E04FDFA (NIL) -8 NIL NIL NIL) (-271 537295 538072 538100 "E04DGFA" 538105 T E04DGFA (NIL) -8 NIL NIL NIL) (-270 531468 532820 534184 "E04AGNT" 535951 T E04AGNT (NIL) -7 NIL NIL NIL) (-269 530148 530654 530694 "DVARCAT" 531169 NIL DVARCAT (NIL T) -9 NIL 531368 NIL) (-268 529352 529564 529878 "DVARCAT-" 529883 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-267 522489 529151 529280 "DSMP" 529285 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-266 517270 518434 519502 "DROPT" 521441 T DROPT (NIL) -8 NIL NIL NIL) (-265 516935 516994 517092 "DROPT1" 517205 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-264 512050 513176 514313 "DROPT0" 515818 T DROPT0 (NIL) -7 NIL NIL NIL) (-263 510395 510720 511106 "DRAWPT" 511684 T DRAWPT (NIL) -7 NIL NIL NIL) (-262 504982 505905 506984 "DRAW" 509369 NIL DRAW (NIL T) -7 NIL NIL NIL) (-261 504615 504668 504786 "DRAWHACK" 504923 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-260 503346 503615 503906 "DRAWCX" 504344 T DRAWCX (NIL) -7 NIL NIL NIL) (-259 502861 502930 503081 "DRAWCURV" 503272 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-258 493329 495291 497406 "DRAWCFUN" 500766 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-257 490093 492022 492063 "DQAGG" 492692 NIL DQAGG (NIL T) -9 NIL 492966 NIL) (-256 478217 484686 484769 "DPOLCAT" 486621 NIL DPOLCAT (NIL T T T T) -9 NIL 487166 NIL) (-255 473054 474402 476360 "DPOLCAT-" 476365 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-254 466176 472915 473013 "DPMO" 473018 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-253 459201 465956 466123 "DPMM" 466128 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-252 458679 458893 458991 "DOMTMPLT" 459123 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-251 458112 458481 458561 "DOMCTOR" 458619 T DOMCTOR (NIL) -8 NIL NIL NIL) (-250 457324 457592 457743 "DOMAIN" 457981 T DOMAIN (NIL) -8 NIL NIL NIL) (-249 451312 456959 457111 "DMP" 457225 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-248 450912 450968 451112 "DLP" 451250 NIL DLP (NIL T) -7 NIL NIL NIL) (-247 444734 450239 450429 "DLIST" 450754 NIL DLIST (NIL T) -8 NIL NIL NIL) (-246 441531 443587 443628 "DLAGG" 444178 NIL DLAGG (NIL T) -9 NIL 444408 NIL) (-245 440207 440871 440899 "DIVRING" 440991 T DIVRING (NIL) -9 NIL 441074 NIL) (-244 439444 439634 439934 "DIVRING-" 439939 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-243 437546 437903 438309 "DISPLAY" 439058 T DISPLAY (NIL) -7 NIL NIL NIL) (-242 431434 437460 437523 "DIRPROD" 437528 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-241 430282 430485 430750 "DIRPROD2" 431227 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-240 419057 425063 425116 "DIRPCAT" 425526 NIL DIRPCAT (NIL NIL T) -9 NIL 426366 NIL) (-239 416383 417025 417906 "DIRPCAT-" 418243 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-238 415670 415830 416016 "DIOSP" 416217 T DIOSP (NIL) -7 NIL NIL NIL) (-237 412325 414582 414623 "DIOPS" 415057 NIL DIOPS (NIL T) -9 NIL 415286 NIL) (-236 411874 411988 412179 "DIOPS-" 412184 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-235 410697 411325 411353 "DIFRING" 411540 T DIFRING (NIL) -9 NIL 411650 NIL) (-234 410343 410420 410572 "DIFRING-" 410577 NIL DIFRING- (NIL T) -8 NIL NIL NIL) (-233 408079 409351 409392 "DIFEXT" 409755 NIL DIFEXT (NIL T) -9 NIL 410049 NIL) (-232 406364 406792 407458 "DIFEXT-" 407463 NIL DIFEXT- (NIL T T) -8 NIL NIL NIL) (-231 403639 405896 405937 "DIAGG" 405942 NIL DIAGG (NIL T) -9 NIL 405962 NIL) (-230 403023 403180 403432 "DIAGG-" 403437 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-229 398440 401982 402259 "DHMATRIX" 402792 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-228 394052 394961 395971 "DFSFUN" 397450 T DFSFUN (NIL) -7 NIL NIL NIL) (-227 389131 392983 393295 "DFLOAT" 393760 T DFLOAT (NIL) -8 NIL NIL NIL) (-226 387394 387675 388064 "DFINTTLS" 388839 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-225 384423 385415 385815 "DERHAM" 387060 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-224 382224 384198 384287 "DEQUEUE" 384367 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-223 381478 381611 381794 "DEGRED" 382086 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-222 377908 378653 379499 "DEFINTRF" 380706 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-221 375463 375932 376524 "DEFINTEF" 377427 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-220 374813 375083 375198 "DEFAST" 375368 T DEFAST (NIL) -8 NIL NIL NIL) (-219 368815 374406 374556 "DECIMAL" 374683 T DECIMAL (NIL) -8 NIL NIL NIL) (-218 366327 366785 367291 "DDFACT" 368359 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-217 365923 365966 366117 "DBLRESP" 366278 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-216 363795 364156 364516 "DBASE" 365690 NIL DBASE (NIL T) -8 NIL NIL NIL) (-215 363037 363275 363421 "DATAARY" 363694 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-214 362143 362996 363024 "D03FAFA" 363029 T D03FAFA (NIL) -8 NIL NIL NIL) (-213 361250 362102 362130 "D03EEFA" 362135 T D03EEFA (NIL) -8 NIL NIL NIL) (-212 359200 359666 360155 "D03AGNT" 360781 T D03AGNT (NIL) -7 NIL NIL NIL) (-211 358489 359159 359187 "D02EJFA" 359192 T D02EJFA (NIL) -8 NIL NIL NIL) (-210 357778 358448 358476 "D02CJFA" 358481 T D02CJFA (NIL) -8 NIL NIL NIL) (-209 357067 357737 357765 "D02BHFA" 357770 T D02BHFA (NIL) -8 NIL NIL NIL) (-208 356356 357026 357054 "D02BBFA" 357059 T D02BBFA (NIL) -8 NIL NIL NIL) (-207 349553 351142 352748 "D02AGNT" 354770 T D02AGNT (NIL) -7 NIL NIL NIL) (-206 347321 347844 348390 "D01WGTS" 349027 T D01WGTS (NIL) -7 NIL NIL NIL) (-205 346388 347280 347308 "D01TRNS" 347313 T D01TRNS (NIL) -8 NIL NIL NIL) (-204 345456 346347 346375 "D01GBFA" 346380 T D01GBFA (NIL) -8 NIL NIL NIL) (-203 344524 345415 345443 "D01FCFA" 345448 T D01FCFA (NIL) -8 NIL NIL NIL) (-202 343592 344483 344511 "D01ASFA" 344516 T D01ASFA (NIL) -8 NIL NIL NIL) (-201 342660 343551 343579 "D01AQFA" 343584 T D01AQFA (NIL) -8 NIL NIL NIL) (-200 341728 342619 342647 "D01APFA" 342652 T D01APFA (NIL) -8 NIL NIL NIL) (-199 340796 341687 341715 "D01ANFA" 341720 T D01ANFA (NIL) -8 NIL NIL NIL) (-198 339864 340755 340783 "D01AMFA" 340788 T D01AMFA (NIL) -8 NIL NIL NIL) (-197 338932 339823 339851 "D01ALFA" 339856 T D01ALFA (NIL) -8 NIL NIL NIL) (-196 338000 338891 338919 "D01AKFA" 338924 T D01AKFA (NIL) -8 NIL NIL NIL) (-195 337068 337959 337987 "D01AJFA" 337992 T D01AJFA (NIL) -8 NIL NIL NIL) (-194 330363 331916 333477 "D01AGNT" 335527 T D01AGNT (NIL) -7 NIL NIL NIL) (-193 329700 329828 329980 "CYCLOTOM" 330231 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-192 326434 327148 327875 "CYCLES" 328993 T CYCLES (NIL) -7 NIL NIL NIL) (-191 325746 325880 326051 "CVMP" 326295 NIL CVMP (NIL T) -7 NIL NIL NIL) (-190 323587 323845 324214 "CTRIGMNP" 325474 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-189 323023 323381 323454 "CTOR" 323534 T CTOR (NIL) -8 NIL NIL NIL) (-188 322532 322754 322855 "CTORKIND" 322942 T CTORKIND (NIL) -8 NIL NIL NIL) (-187 321823 322139 322167 "CTORCAT" 322349 T CTORCAT (NIL) -9 NIL 322462 NIL) (-186 321421 321532 321691 "CTORCAT-" 321696 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-185 320883 321095 321203 "CTORCALL" 321345 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-184 320257 320356 320509 "CSTTOOLS" 320780 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-183 316056 316713 317471 "CRFP" 319569 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-182 315531 315777 315869 "CRCEAST" 315984 T CRCEAST (NIL) -8 NIL NIL NIL) (-181 314578 314763 314991 "CRAPACK" 315335 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-180 313962 314063 314267 "CPMATCH" 314454 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-179 313687 313715 313821 "CPIMA" 313928 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-178 310035 310707 311426 "COORDSYS" 313022 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-177 309447 309568 309710 "CONTOUR" 309913 T CONTOUR (NIL) -8 NIL NIL NIL) (-176 305338 307450 307942 "CONTFRAC" 308987 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-175 305218 305239 305267 "CONDUIT" 305304 T CONDUIT (NIL) -9 NIL NIL NIL) (-174 304306 304860 304888 "COMRING" 304893 T COMRING (NIL) -9 NIL 304945 NIL) (-173 303360 303664 303848 "COMPPROP" 304142 T COMPPROP (NIL) -8 NIL NIL NIL) (-172 303021 303056 303184 "COMPLPAT" 303319 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-171 293312 302830 302939 "COMPLEX" 302944 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 292948 293005 293112 "COMPLEX2" 293249 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-169 292287 292408 292568 "COMPILER" 292808 T COMPILER (NIL) -8 NIL NIL NIL) (-168 292005 292040 292138 "COMPFACT" 292246 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-167 276085 286079 286119 "COMPCAT" 287123 NIL COMPCAT (NIL T) -9 NIL 288471 NIL) (-166 265597 268524 272151 "COMPCAT-" 272507 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-165 265326 265354 265457 "COMMUPC" 265563 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-164 265120 265154 265213 "COMMONOP" 265287 T COMMONOP (NIL) -7 NIL NIL NIL) (-163 264676 264871 264958 "COMM" 265053 T COMM (NIL) -8 NIL NIL NIL) (-162 264252 264480 264555 "COMMAAST" 264621 T COMMAAST (NIL) -8 NIL NIL NIL) (-161 263501 263695 263723 "COMBOPC" 264061 T COMBOPC (NIL) -9 NIL 264236 NIL) (-160 262397 262607 262849 "COMBINAT" 263291 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-159 258854 259428 260055 "COMBF" 261819 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-158 257612 257970 258205 "COLOR" 258639 T COLOR (NIL) -8 NIL NIL NIL) (-157 257088 257333 257425 "COLONAST" 257540 T COLONAST (NIL) -8 NIL NIL NIL) (-156 256728 256775 256900 "CMPLXRT" 257035 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-155 256176 256428 256527 "CLLCTAST" 256649 T CLLCTAST (NIL) -8 NIL NIL NIL) (-154 251678 252706 253786 "CLIP" 255116 T CLIP (NIL) -7 NIL NIL NIL) (-153 250019 250779 251019 "CLIF" 251505 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-152 246194 248165 248206 "CLAGG" 249135 NIL CLAGG (NIL T) -9 NIL 249671 NIL) (-151 244616 245073 245656 "CLAGG-" 245661 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-150 244160 244245 244385 "CINTSLPE" 244525 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-149 241661 242132 242680 "CHVAR" 243688 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-148 240835 241389 241417 "CHARZ" 241422 T CHARZ (NIL) -9 NIL 241437 NIL) (-147 240589 240629 240707 "CHARPOL" 240789 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-146 239647 240234 240262 "CHARNZ" 240309 T CHARNZ (NIL) -9 NIL 240365 NIL) (-145 237553 238301 238654 "CHAR" 239314 T CHAR (NIL) -8 NIL NIL NIL) (-144 237279 237340 237368 "CFCAT" 237479 T CFCAT (NIL) -9 NIL NIL NIL) (-143 236520 236631 236814 "CDEN" 237163 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-142 232485 235673 235953 "CCLASS" 236260 T CCLASS (NIL) -8 NIL NIL NIL) (-141 231736 231893 232070 "CATEGORY" 232328 T -10 (NIL) -8 NIL NIL NIL) (-140 231309 231655 231703 "CATCTOR" 231708 T CATCTOR (NIL) -8 NIL NIL NIL) (-139 230760 231012 231110 "CATAST" 231231 T CATAST (NIL) -8 NIL NIL NIL) (-138 230236 230481 230573 "CASEAST" 230688 T CASEAST (NIL) -8 NIL NIL NIL) (-137 225246 226265 227018 "CARTEN" 229539 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 224354 224502 224723 "CARTEN2" 225093 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-135 222670 223504 223761 "CARD" 224117 T CARD (NIL) -8 NIL NIL NIL) (-134 222246 222474 222549 "CAPSLAST" 222615 T CAPSLAST (NIL) -8 NIL NIL NIL) (-133 221750 221958 221986 "CACHSET" 222118 T CACHSET (NIL) -9 NIL 222196 NIL) (-132 221220 221542 221570 "CABMON" 221620 T CABMON (NIL) -9 NIL 221676 NIL) (-131 220693 220924 221034 "BYTEORD" 221130 T BYTEORD (NIL) -8 NIL NIL NIL) (-130 219675 220227 220369 "BYTE" 220532 T BYTE (NIL) -8 NIL NIL 220654) (-129 215025 219180 219352 "BYTEBUF" 219523 T BYTEBUF (NIL) -8 NIL NIL NIL) (-128 212534 214717 214824 "BTREE" 214951 NIL BTREE (NIL T) -8 NIL NIL NIL) (-127 209983 212182 212304 "BTOURN" 212444 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-126 207353 209453 209494 "BTCAT" 209562 NIL BTCAT (NIL T) -9 NIL 209639 NIL) (-125 207020 207100 207249 "BTCAT-" 207254 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-124 202430 206309 206337 "BTAGG" 206451 T BTAGG (NIL) -9 NIL 206561 NIL) (-123 201920 202045 202251 "BTAGG-" 202256 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-122 198915 201198 201413 "BSTREE" 201737 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-121 198053 198179 198363 "BRILL" 198771 NIL BRILL (NIL T) -7 NIL NIL NIL) (-120 194705 196779 196820 "BRAGG" 197469 NIL BRAGG (NIL T) -9 NIL 197727 NIL) (-119 193234 193640 194195 "BRAGG-" 194200 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-118 186461 192578 192763 "BPADICRT" 193081 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-117 184776 186398 186443 "BPADIC" 186448 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-116 184474 184504 184618 "BOUNDZRO" 184740 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-115 179702 180900 181812 "BOP" 183582 T BOP (NIL) -8 NIL NIL NIL) (-114 177483 177887 178362 "BOP1" 179260 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-113 177184 177245 177273 "BOOLE" 177384 T BOOLE (NIL) -9 NIL 177466 NIL) (-112 176009 176758 176907 "BOOLEAN" 177055 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 175288 175692 175746 "BMODULE" 175751 NIL BMODULE (NIL T T) -9 NIL 175816 NIL) (-110 171089 175086 175159 "BITS" 175235 T BITS (NIL) -8 NIL NIL NIL) (-109 170510 170629 170769 "BINDING" 170969 T BINDING (NIL) -8 NIL NIL NIL) (-108 164515 170105 170254 "BINARY" 170381 T BINARY (NIL) -8 NIL NIL NIL) (-107 162295 163770 163811 "BGAGG" 164071 NIL BGAGG (NIL T) -9 NIL 164208 NIL) (-106 162126 162158 162249 "BGAGG-" 162254 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 161197 161510 161715 "BFUNCT" 161941 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 159887 160065 160353 "BEZOUT" 161021 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 156356 158739 159069 "BBTREE" 159590 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 156090 156143 156171 "BASTYPE" 156290 T BASTYPE (NIL) -9 NIL NIL NIL) (-101 155942 155971 156044 "BASTYPE-" 156049 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 155376 155452 155604 "BALFACT" 155853 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 154232 154791 154977 "AUTOMOR" 155221 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 153958 153963 153989 "ATTREG" 153994 T ATTREG (NIL) -9 NIL NIL NIL) (-97 152210 152655 153007 "ATTRBUT" 153624 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 151818 152038 152104 "ATTRAST" 152162 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 151354 151467 151493 "ATRIG" 151694 T ATRIG (NIL) -9 NIL NIL NIL) (-94 151163 151204 151291 "ATRIG-" 151296 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 150808 150994 151020 "ASTCAT" 151025 T ASTCAT (NIL) -9 NIL 151055 NIL) (-92 150535 150594 150713 "ASTCAT-" 150718 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 148684 150311 150399 "ASTACK" 150478 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 147189 147486 147851 "ASSOCEQ" 148366 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 146221 146848 146972 "ASP9" 147096 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 145984 146169 146208 "ASP8" 146213 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 144852 145589 145731 "ASP80" 145873 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 143750 144487 144619 "ASP7" 144751 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 142704 143427 143545 "ASP78" 143663 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 141673 142384 142501 "ASP77" 142618 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 140585 141311 141442 "ASP74" 141573 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 139485 140220 140352 "ASP73" 140484 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 138589 139311 139411 "ASP6" 139416 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 137536 138266 138384 "ASP55" 138502 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 136485 137210 137329 "ASP50" 137448 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 135573 136186 136296 "ASP4" 136406 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 134661 135274 135384 "ASP49" 135494 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 133445 134200 134368 "ASP42" 134550 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 132222 132978 133148 "ASP41" 133332 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 131172 131899 132017 "ASP35" 132135 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 130937 131120 131159 "ASP34" 131164 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 130674 130741 130817 "ASP33" 130892 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 129568 130309 130441 "ASP31" 130573 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 129333 129516 129555 "ASP30" 129560 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 129068 129137 129213 "ASP29" 129288 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 128833 129016 129055 "ASP28" 129060 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 128598 128781 128820 "ASP27" 128825 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 127682 128296 128407 "ASP24" 128518 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 126759 127484 127596 "ASP20" 127601 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 125847 126460 126570 "ASP1" 126680 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 124790 125521 125640 "ASP19" 125759 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 124527 124594 124670 "ASP12" 124745 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 123379 124126 124270 "ASP10" 124414 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 121230 123223 123314 "ARRAY2" 123319 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 116995 120878 120992 "ARRAY1" 121147 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 116027 116200 116421 "ARRAY12" 116818 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 110339 112257 112332 "ARR2CAT" 114962 NIL ARR2CAT (NIL T T T) -9 NIL 115720 NIL) (-56 107773 108517 109471 "ARR2CAT-" 109476 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 107090 107400 107525 "ARITY" 107666 T ARITY (NIL) -8 NIL NIL NIL) (-54 105866 106018 106317 "APPRULE" 106926 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 105517 105565 105684 "APPLYORE" 105812 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 104871 105110 105230 "ANY" 105415 T ANY (NIL) -8 NIL NIL NIL) (-51 104149 104272 104429 "ANY1" 104745 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 101679 102586 102913 "ANTISYM" 103873 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 101171 101386 101482 "ANON" 101601 T ANON (NIL) -8 NIL NIL NIL) (-48 95420 99710 100164 "AN" 100735 T AN (NIL) -8 NIL NIL NIL) (-47 91318 92706 92757 "AMR" 93505 NIL AMR (NIL T T) -9 NIL 94105 NIL) (-46 90430 90651 91014 "AMR-" 91019 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 74869 90347 90408 "ALIST" 90413 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 71674 74463 74632 "ALGSC" 74787 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 68230 68784 69391 "ALGPKG" 71114 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 67507 67608 67792 "ALGMFACT" 68116 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 63542 64121 64715 "ALGMANIP" 67091 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 54912 63168 63318 "ALGFF" 63475 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 54108 54239 54418 "ALGFACT" 54770 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 53049 53649 53687 "ALGEBRA" 53692 NIL ALGEBRA (NIL T) -9 NIL 53733 NIL) (-37 52767 52826 52958 "ALGEBRA-" 52963 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 34860 50769 50821 "ALAGG" 50957 NIL ALAGG (NIL T T) -9 NIL 51118 NIL) (-35 34396 34509 34535 "AHYP" 34736 T AHYP (NIL) -9 NIL NIL NIL) (-34 33327 33575 33601 "AGG" 34100 T AGG (NIL) -9 NIL 34379 NIL) (-33 32761 32923 33137 "AGG-" 33142 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 30567 30990 31395 "AF" 32403 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 30047 30292 30382 "ADDAST" 30495 T ADDAST (NIL) -8 NIL NIL NIL) (-30 29315 29574 29730 "ACPLOT" 29909 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 18638 26442 26480 "ACFS" 27087 NIL ACFS (NIL T) -9 NIL 27326 NIL) (-28 16665 17155 17917 "ACFS-" 17922 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 12783 14712 14738 "ACF" 15617 T ACF (NIL) -9 NIL 16030 NIL) (-26 11487 11821 12314 "ACF-" 12319 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 11059 11254 11280 "ABELSG" 11372 T ABELSG (NIL) -9 NIL 11437 NIL) (-24 10926 10951 11017 "ABELSG-" 11022 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 10269 10556 10582 "ABELMON" 10752 T ABELMON (NIL) -9 NIL 10864 NIL) (-22 9933 10017 10155 "ABELMON-" 10160 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 9281 9653 9679 "ABELGRP" 9751 T ABELGRP (NIL) -9 NIL 9826 NIL) (-20 8744 8873 9089 "ABELGRP-" 9094 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4333 8083 8122 "A1AGG" 8127 NIL A1AGG (NIL T) -9 NIL 8167 NIL) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL NIL))
\ No newline at end of file diff --git a/src/share/algebra/operation.daase b/src/share/algebra/operation.daase index 5a65fd42..8c2b2a82 100644 --- a/src/share/algebra/operation.daase +++ b/src/share/algebra/operation.daase @@ -1,87 +1,70 @@ -(733710 . 3480912611) -(((*1 *2) (-12 (-5 *2 (-928)) (-5 *1 (-158))))) -(((*1 *2 *3 *3) - (-12 (-5 *3 (-1250 *5 *4)) (-4 *4 (-826)) (-14 *5 (-1186)) - (-5 *2 (-570)) (-5 *1 (-1123 *4 *5))))) -(((*1 *2 *3 *4) - (|partial| -12 (-5 *4 (-1186)) (-4 *5 (-620 (-899 (-570)))) - (-4 *5 (-893 (-570))) - (-4 *5 (-13 (-1047 (-570)) (-458) (-645 (-570)))) - (-5 *2 (-2 (|:| |special| *3) (|:| |integrand| *3))) - (-5 *1 (-573 *5 *3)) (-4 *3 (-635)) - (-4 *3 (-13 (-27) (-1212) (-436 *5)))))) -(((*1 *2 *3 *1) - (-12 (-4 *4 (-368)) (-4 *5 (-799)) (-4 *6 (-856)) (-5 *2 (-112)) - (-5 *1 (-510 *4 *5 *6 *3)) (-4 *3 (-956 *4 *5 *6))))) -(((*1 *2 *1) - (-12 (-5 *2 (-176 (-413 (-570)))) (-5 *1 (-118 *3)) (-14 *3 (-570)))) - ((*1 *1 *2 *3 *3) - (-12 (-5 *3 (-1166 *2)) (-4 *2 (-311)) (-5 *1 (-176 *2)))) - ((*1 *1 *2) (-12 (-5 *2 (-413 *3)) (-4 *3 (-311)) (-5 *1 (-176 *3)))) - ((*1 *2 *3) - (-12 (-5 *2 (-176 (-570))) (-5 *1 (-771 *3)) (-4 *3 (-410)))) - ((*1 *2 *1) - (-12 (-5 *2 (-176 (-413 (-570)))) (-5 *1 (-877 *3)) (-14 *3 (-570)))) - ((*1 *2 *1) - (-12 (-14 *3 (-570)) (-5 *2 (-176 (-413 (-570)))) - (-5 *1 (-878 *3 *4)) (-4 *4 (-875 *3))))) -(((*1 *2 *3 *1) - (-12 (-4 *1 (-985 *4 *5 *6 *3)) (-4 *4 (-1058)) (-4 *5 (-799)) - (-4 *6 (-856)) (-4 *3 (-1074 *4 *5 *6)) (-4 *4 (-562)) - (-5 *2 (-2 (|:| |num| *3) (|:| |den| *4)))))) -(((*1 *2 *3 *3) - (-12 (-4 *4 (-458)) (-4 *5 (-799)) (-4 *6 (-856)) - (-4 *7 (-1074 *4 *5 *6)) (-5 *2 (-112)) - (-5 *1 (-997 *4 *5 *6 *7 *3)) (-4 *3 (-1080 *4 *5 *6 *7)))) - ((*1 *2 *3 *4) - (-12 (-5 *4 (-650 *3)) (-4 *3 (-1080 *5 *6 *7 *8)) (-4 *5 (-458)) - (-4 *6 (-799)) (-4 *7 (-856)) (-4 *8 (-1074 *5 *6 *7)) - (-5 *2 (-112)) (-5 *1 (-997 *5 *6 *7 *8 *3)))) - ((*1 *2 *3 *3) - (-12 (-4 *4 (-458)) (-4 *5 (-799)) (-4 *6 (-856)) - (-4 *7 (-1074 *4 *5 *6)) (-5 *2 (-112)) - (-5 *1 (-1116 *4 *5 *6 *7 *3)) (-4 *3 (-1080 *4 *5 *6 *7)))) - ((*1 *2 *3 *4) - (-12 (-5 *4 (-650 *3)) (-4 *3 (-1080 *5 *6 *7 *8)) (-4 *5 (-458)) - (-4 *6 (-799)) (-4 *7 (-856)) (-4 *8 (-1074 *5 *6 *7)) - (-5 *2 (-112)) (-5 *1 (-1116 *5 *6 *7 *8 *3))))) +(733892 . 3480995947) (((*1 *2 *3) - (-12 (-5 *3 (-650 *7)) (-4 *7 (-1074 *4 *5 *6)) (-4 *4 (-562)) - (-4 *5 (-799)) (-4 *6 (-856)) (-5 *2 (-112)) - (-5 *1 (-986 *4 *5 *6 *7))))) -(((*1 *2 *1) - (-12 (-4 *1 (-1143 *3)) (-4 *3 (-1058)) (-5 *2 (-650 (-950 *3))))) - ((*1 *1 *2) - (-12 (-5 *2 (-650 (-950 *3))) (-4 *3 (-1058)) (-4 *1 (-1143 *3)))) - ((*1 *1 *1 *2) - (-12 (-5 *2 (-650 (-650 *3))) (-4 *1 (-1143 *3)) (-4 *3 (-1058)))) - ((*1 *1 *1 *2) - (-12 (-5 *2 (-650 (-950 *3))) (-4 *1 (-1143 *3)) (-4 *3 (-1058))))) + (|partial| -12 (-5 *3 (-1277 *4)) (-4 *4 (-645 (-570))) + (-5 *2 (-1277 (-570))) (-5 *1 (-1305 *4))))) +(((*1 *2 *3 *4 *4 *3 *4 *5 *4 *4 *3 *3 *3 *3 *6 *3 *7) + (-12 (-5 *3 (-570)) (-5 *5 (-112)) (-5 *6 (-695 (-227))) + (-5 *7 (-3 (|:| |fn| (-394)) (|:| |fp| (-77 OBJFUN)))) + (-5 *4 (-227)) (-5 *2 (-1044)) (-5 *1 (-759))))) +(((*1 *1 *1 *2) + (-12 (-5 *2 (-650 *1)) (|has| *1 (-6 -4453)) (-4 *1 (-1019 *3)) + (-4 *3 (-1227))))) +(((*1 *2 *2) (-12 (-5 *2 (-570)) (-5 *1 (-567))))) +(((*1 *2) + (|partial| -12 (-4 *3 (-562)) (-4 *3 (-174)) + (-5 *2 (-2 (|:| |particular| *1) (|:| -2832 (-650 *1)))) + (-4 *1 (-372 *3)))) + ((*1 *2) + (|partial| -12 + (-5 *2 + (-2 (|:| |particular| (-459 *3 *4 *5 *6)) + (|:| -2832 (-650 (-459 *3 *4 *5 *6))))) + (-5 *1 (-459 *3 *4 *5 *6)) (-4 *3 (-174)) (-14 *4 (-928)) + (-14 *5 (-650 (-1186))) (-14 *6 (-1277 (-695 *3)))))) +(((*1 *2 *3) + (-12 (-4 *4 (-1058)) (-5 *2 (-570)) (-5 *1 (-449 *4 *3 *5)) + (-4 *3 (-1253 *4)) + (-4 *5 (-13 (-410) (-1047 *4) (-368) (-1212) (-288)))))) +(((*1 *2 *3 *4) + (-12 (-5 *4 (-1186)) (-5 *2 (-1 (-227) (-227))) (-5 *1 (-709 *3)) + (-4 *3 (-620 (-542))))) + ((*1 *2 *3 *4 *4) + (-12 (-5 *4 (-1186)) (-5 *2 (-1 (-227) (-227) (-227))) + (-5 *1 (-709 *3)) (-4 *3 (-620 (-542)))))) (((*1 *1 *1 *1) (-4 *1 (-667)))) +(((*1 *2 *2) + (-12 (-4 *3 (-620 (-899 *3))) (-4 *3 (-893 *3)) (-4 *3 (-458)) + (-5 *1 (-1218 *3 *2)) (-4 *2 (-620 (-899 *3))) (-4 *2 (-893 *3)) + (-4 *2 (-13 (-436 *3) (-1212)))))) (((*1 *2 *3) - (-12 (-5 *3 (-1103 (-849 (-227)))) (-5 *2 (-227)) (-5 *1 (-194)))) - ((*1 *2 *3) - (-12 (-5 *3 (-1103 (-849 (-227)))) (-5 *2 (-227)) (-5 *1 (-304)))) - ((*1 *2 *3) - (-12 (-5 *3 (-1103 (-849 (-227)))) (-5 *2 (-227)) (-5 *1 (-309))))) -(((*1 *2 *1 *3 *3) - (-12 (-5 *3 (-777)) (-5 *2 (-1282)) (-5 *1 (-1278)))) - ((*1 *2 *1 *3 *3) - (-12 (-5 *3 (-777)) (-5 *2 (-1282)) (-5 *1 (-1279))))) -(((*1 *1 *1 *1) - (-12 (-4 *1 (-1074 *2 *3 *4)) (-4 *2 (-1058)) (-4 *3 (-799)) - (-4 *4 (-856)) (-4 *2 (-562)))) - ((*1 *1 *1 *2) - (-12 (-4 *1 (-1074 *2 *3 *4)) (-4 *2 (-1058)) (-4 *3 (-799)) - (-4 *4 (-856)) (-4 *2 (-562))))) -(((*1 *2 *2) (-12 (-5 *1 (-968 *2)) (-4 *2 (-551))))) + (-12 (-5 *3 (-650 (-650 (-950 (-227))))) (-5 *2 (-650 (-227))) + (-5 *1 (-474))))) (((*1 *2 *1) - (-12 (-4 *1 (-1047 (-570))) (-4 *1 (-306)) (-5 *2 (-112)))) - ((*1 *2 *1) (-12 (-4 *1 (-551)) (-5 *2 (-112)))) - ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-912 *3)) (-4 *3 (-1109))))) -(((*1 *2 *3 *3 *3 *4) - (-12 (-5 *3 (-227)) (-5 *4 (-570)) (-5 *2 (-1044)) (-5 *1 (-764))))) + (-12 (-5 *2 (-413 (-959 *3))) (-5 *1 (-459 *3 *4 *5 *6)) + (-4 *3 (-562)) (-4 *3 (-174)) (-14 *4 (-928)) + (-14 *5 (-650 (-1186))) (-14 *6 (-1277 (-695 *3)))))) +(((*1 *2 *2 *3) + (-12 (-4 *3 (-368)) (-5 *1 (-1034 *3 *2)) (-4 *2 (-662 *3)))) + ((*1 *2 *3 *4) + (-12 (-4 *5 (-368)) (-5 *2 (-2 (|:| -4308 *3) (|:| -3900 (-650 *5)))) + (-5 *1 (-1034 *5 *3)) (-5 *4 (-650 *5)) (-4 *3 (-662 *5))))) +(((*1 *1 *2 *1) + (-12 (-5 *2 (-1 *4 *4)) (-4 *1 (-330 *3 *4)) (-4 *3 (-1058)) + (-4 *4 (-798))))) +(((*1 *2 *3 *4 *3 *3 *4 *4 *4 *5) + (-12 (-5 *3 (-227)) (-5 *4 (-570)) + (-5 *5 (-3 (|:| |fn| (-394)) (|:| |fp| (-64 -1709)))) + (-5 *2 (-1044)) (-5 *1 (-754))))) +(((*1 *1 *2) + (-12 (-5 *2 (-650 *6)) (-4 *6 (-956 *3 *4 *5)) (-4 *3 (-368)) + (-4 *4 (-799)) (-4 *5 (-856)) (-5 *1 (-510 *3 *4 *5 *6))))) +(((*1 *2 *1) (-12 (-5 *2 (-489)) (-5 *1 (-220)))) + ((*1 *1 *1) (-12 (-4 *1 (-246 *2)) (-4 *2 (-1227)))) + ((*1 *2 *1) (-12 (-5 *2 (-489)) (-5 *1 (-682)))) + ((*1 *1 *1) + (-12 (-4 *1 (-1074 *2 *3 *4)) (-4 *2 (-1058)) (-4 *3 (-799)) + (-4 *4 (-856))))) (((*1 *2 *1) (-12 (-5 *2 (-1134 (-570) (-618 (-48)))) (-5 *1 (-48)))) ((*1 *2 *1) (-12 (-4 *3 (-1001 *2)) (-4 *4 (-1253 *3)) (-4 *2 (-311)) @@ -98,11 +81,7 @@ (-5 *1 (-668 *3 *4 *2)) (-4 *3 (-723 *4)))) ((*1 *2 *1) (-12 (-4 *1 (-1001 *2)) (-4 *2 (-562))))) (((*1 *2 *3) (-12 (-5 *3 (-650 (-52))) (-5 *2 (-1282)) (-5 *1 (-869))))) -(((*1 *2 *1) - (-12 (-4 *1 (-378 *3)) (-4 *3 (-1227)) (-4 *3 (-856)) (-5 *2 (-112)))) - ((*1 *2 *3 *1) - (-12 (-5 *3 (-1 (-112) *4 *4)) (-4 *1 (-378 *4)) (-4 *4 (-1227)) - (-5 *2 (-112))))) +(((*1 *2 *1 *3) (-12 (-5 *3 (-1168)) (-5 *2 (-1282)) (-5 *1 (-1279))))) (((*1 *1 *1) (-12 (-4 *1 (-120 *2)) (-4 *2 (-1227)))) ((*1 *1 *1) (-12 (-5 *1 (-678 *2)) (-4 *2 (-856)))) ((*1 *1 *1) (-12 (-5 *1 (-683 *2)) (-4 *2 (-856)))) @@ -111,42 +90,55 @@ ((*1 *2 *1) (-12 (-4 *2 (-13 (-854) (-368))) (-5 *1 (-1070 *2 *3)) (-4 *3 (-1253 *2))))) -(((*1 *2 *3 *3 *3 *3 *4 *3 *5 *5 *5 *3) - (-12 (-5 *3 (-570)) (-5 *5 (-695 (-227))) (-5 *4 (-227)) - (-5 *2 (-1044)) (-5 *1 (-756))))) -(((*1 *2 *2) - (-12 (-5 *2 (-650 (-2 (|:| |val| (-650 *6)) (|:| -3687 *7)))) - (-4 *6 (-1074 *3 *4 *5)) (-4 *7 (-1080 *3 *4 *5 *6)) (-4 *3 (-458)) - (-4 *4 (-799)) (-4 *5 (-856)) (-5 *1 (-997 *3 *4 *5 *6 *7)))) - ((*1 *2 *2) - (-12 (-5 *2 (-650 (-2 (|:| |val| (-650 *6)) (|:| -3687 *7)))) - (-4 *6 (-1074 *3 *4 *5)) (-4 *7 (-1080 *3 *4 *5 *6)) (-4 *3 (-458)) - (-4 *4 (-799)) (-4 *5 (-856)) (-5 *1 (-1116 *3 *4 *5 *6 *7))))) (((*1 *1 *1 *1) (-4 *1 (-667)))) +(((*1 *1 *2 *1) (-12 (-5 *2 (-570)) (-5 *1 (-118 *3)) (-14 *3 *2))) + ((*1 *1 *1) (-12 (-5 *1 (-118 *2)) (-14 *2 (-570)))) + ((*1 *1 *2 *1) (-12 (-5 *2 (-570)) (-5 *1 (-877 *3)) (-14 *3 *2))) + ((*1 *1 *1) (-12 (-5 *1 (-877 *2)) (-14 *2 (-570)))) + ((*1 *1 *2 *1) + (-12 (-5 *2 (-570)) (-14 *3 *2) (-5 *1 (-878 *3 *4)) + (-4 *4 (-875 *3)))) + ((*1 *1 *1) + (-12 (-14 *2 (-570)) (-5 *1 (-878 *2 *3)) (-4 *3 (-875 *2)))) + ((*1 *1 *2 *1) + (-12 (-5 *2 (-570)) (-4 *1 (-1239 *3 *4)) (-4 *3 (-1058)) + (-4 *4 (-1268 *3)))) + ((*1 *1 *1) + (-12 (-4 *1 (-1239 *2 *3)) (-4 *2 (-1058)) (-4 *3 (-1268 *2))))) +(((*1 *2 *3) + (-12 (-5 *3 (-1277 *1)) (-4 *1 (-372 *4)) (-4 *4 (-174)) + (-5 *2 (-695 *4)))) + ((*1 *2) + (-12 (-4 *4 (-174)) (-5 *2 (-695 *4)) (-5 *1 (-422 *3 *4)) + (-4 *3 (-423 *4)))) + ((*1 *2) (-12 (-4 *1 (-423 *3)) (-4 *3 (-174)) (-5 *2 (-695 *3))))) (((*1 *2 *1) (-12 (-5 *2 (-1144)) (-5 *1 (-31)))) ((*1 *2) (-12 (-4 *1 (-410)) (-5 *2 (-928)))) ((*1 *1) (-4 *1 (-551))) ((*1 *2 *2) (-12 (-5 *2 (-928)) (-5 *1 (-705)))) ((*1 *2 *1) (-12 (-5 *2 (-650 *3)) (-5 *1 (-911 *3)) (-4 *3 (-1109))))) -(((*1 *2 *1 *1) - (-12 (-5 *2 (-413 (-959 *3))) (-5 *1 (-459 *3 *4 *5 *6)) - (-4 *3 (-562)) (-4 *3 (-174)) (-14 *4 (-928)) - (-14 *5 (-650 (-1186))) (-14 *6 (-1277 (-695 *3)))))) -(((*1 *2) - (-12 (-4 *4 (-174)) (-5 *2 (-112)) (-5 *1 (-371 *3 *4)) - (-4 *3 (-372 *4)))) - ((*1 *2) (-12 (-4 *1 (-372 *3)) (-4 *3 (-174)) (-5 *2 (-112))))) -(((*1 *2 *2) - (-12 (-5 *2 (-950 *3)) (-4 *3 (-13 (-368) (-1212) (-1011))) - (-5 *1 (-178 *3))))) -(((*1 *2 *1) (-12 (-5 *2 (-697 (-1144))) (-5 *1 (-1160))))) -(((*1 *2 *3 *4 *3) - (|partial| -12 (-5 *4 (-1186)) - (-4 *5 (-13 (-458) (-148) (-1047 (-570)) (-645 (-570)))) - (-5 *2 (-2 (|:| -4341 *3) (|:| |coeff| *3))) (-5 *1 (-563 *5 *3)) - (-4 *3 (-13 (-27) (-1212) (-436 *5)))))) -(((*1 *2 *1) - (-12 (-5 *2 (-1111 *3)) (-5 *1 (-912 *3)) (-4 *3 (-373)) - (-4 *3 (-1109))))) +(((*1 *1 *1 *2) + (-12 (-5 *2 (-1168)) (-4 *1 (-369 *3 *4)) (-4 *3 (-1109)) + (-4 *4 (-1109))))) +(((*1 *2 *3 *3 *3 *4 *5) + (-12 (-5 *5 (-650 (-650 (-227)))) (-5 *4 (-227)) + (-5 *2 (-650 (-950 *4))) (-5 *1 (-1223)) (-5 *3 (-950 *4))))) +(((*1 *2 *3) + (-12 (-4 *4 (-458)) + (-5 *2 + (-650 + (-2 (|:| |eigval| (-3 (-413 (-959 *4)) (-1175 (-1186) (-959 *4)))) + (|:| |eigmult| (-777)) + (|:| |eigvec| (-650 (-695 (-413 (-959 *4)))))))) + (-5 *1 (-296 *4)) (-5 *3 (-695 (-413 (-959 *4))))))) +(((*1 *1 *1) + (-12 (-4 *1 (-1074 *2 *3 *4)) (-4 *2 (-1058)) (-4 *3 (-799)) + (-4 *4 (-856)) (-4 *2 (-458))))) +(((*1 *2 *3) + (-12 (-4 *4 (-562)) (-5 *2 (-112)) (-5 *1 (-279 *4 *3)) + (-4 *3 (-13 (-436 *4) (-1011)))))) +(((*1 *2 *3) + (-12 (-5 *3 (-959 *5)) (-4 *5 (-1058)) (-5 *2 (-249 *4 *5)) + (-5 *1 (-951 *4 *5)) (-14 *4 (-650 (-1186)))))) (((*1 *2 *1) (-12 (-5 *2 (-1134 (-570) (-618 (-48)))) (-5 *1 (-48)))) ((*1 *2 *1) (-12 (-4 *3 (-311)) (-4 *4 (-1001 *3)) (-4 *5 (-1253 *4)) @@ -163,7 +155,10 @@ (-12 (-4 *3 (-174)) (-4 *2 (-723 *3)) (-5 *1 (-668 *2 *3 *4)) (-4 *4 (|SubsetCategory| (-732) *3)))) ((*1 *2 *1) (-12 (-4 *1 (-1001 *2)) (-4 *2 (-562))))) -(((*1 *2 *1) (-12 (-4 *1 (-533)) (-5 *2 (-697 (-1235)))))) +(((*1 *2 *2 *3 *4 *4) + (-12 (-5 *4 (-570)) (-4 *3 (-174)) (-4 *5 (-378 *3)) + (-4 *6 (-378 *3)) (-5 *1 (-694 *3 *5 *6 *2)) + (-4 *2 (-693 *3 *5 *6))))) (((*1 *1 *1) (-12 (-4 *1 (-120 *2)) (-4 *2 (-1227)))) ((*1 *1 *1) (-12 (-5 *1 (-678 *2)) (-4 *2 (-856)))) ((*1 *1 *1) (-12 (-5 *1 (-683 *2)) (-4 *2 (-856)))) @@ -172,82 +167,28 @@ ((*1 *2 *1) (-12 (-4 *2 (-13 (-854) (-368))) (-5 *1 (-1070 *2 *3)) (-4 *3 (-1253 *2))))) -(((*1 *1 *1 *2) (-12 (-5 *2 (-650 (-618 (-48)))) (-5 *1 (-48)))) - ((*1 *1 *1 *2) (-12 (-5 *2 (-618 (-48))) (-5 *1 (-48)))) - ((*1 *2 *2 *3) - (-12 (-5 *2 (-1182 (-48))) (-5 *3 (-650 (-618 (-48)))) (-5 *1 (-48)))) - ((*1 *2 *2 *3) - (-12 (-5 *2 (-1182 (-48))) (-5 *3 (-618 (-48))) (-5 *1 (-48)))) - ((*1 *2 *1) (-12 (-4 *1 (-167 *2)) (-4 *2 (-174)))) - ((*1 *2 *3) - (-12 (-4 *2 (-13 (-368) (-854))) (-5 *1 (-183 *2 *3)) - (-4 *3 (-1253 (-171 *2))))) - ((*1 *1 *1 *2) - (-12 (-5 *2 (-928)) (-4 *1 (-333 *3)) (-4 *3 (-368)) (-4 *3 (-373)))) - ((*1 *2 *1) (-12 (-4 *1 (-333 *2)) (-4 *2 (-368)))) - ((*1 *2 *1) - (-12 (-4 *1 (-375 *2 *3)) (-4 *3 (-1253 *2)) (-4 *2 (-174)))) - ((*1 *2 *1) - (-12 (-4 *4 (-1253 *2)) (-4 *2 (-1001 *3)) (-5 *1 (-419 *3 *2 *4 *5)) - (-4 *3 (-311)) (-4 *5 (-13 (-415 *2 *4) (-1047 *2))))) - ((*1 *2 *1) - (-12 (-4 *4 (-1253 *2)) (-4 *2 (-1001 *3)) - (-5 *1 (-420 *3 *2 *4 *5 *6)) (-4 *3 (-311)) (-4 *5 (-415 *2 *4)) - (-14 *6 (-1277 *5)))) - ((*1 *2 *3 *4) - (-12 (-5 *4 (-928)) (-4 *5 (-1058)) - (-4 *2 (-13 (-410) (-1047 *5) (-368) (-1212) (-288))) - (-5 *1 (-449 *5 *3 *2)) (-4 *3 (-1253 *5)))) - ((*1 *1 *1 *2) (-12 (-5 *2 (-650 (-618 (-501)))) (-5 *1 (-501)))) - ((*1 *1 *1 *2) (-12 (-5 *2 (-618 (-501))) (-5 *1 (-501)))) - ((*1 *2 *2 *3) - (-12 (-5 *2 (-1182 (-501))) (-5 *3 (-650 (-618 (-501)))) - (-5 *1 (-501)))) - ((*1 *2 *2 *3) - (-12 (-5 *2 (-1182 (-501))) (-5 *3 (-618 (-501))) (-5 *1 (-501)))) - ((*1 *2 *2 *3) - (-12 (-5 *2 (-1277 *4)) (-5 *3 (-928)) (-4 *4 (-354)) - (-5 *1 (-534 *4)))) - ((*1 *2 *3) - (-12 (-4 *4 (-458)) (-4 *5 (-730 *4 *2)) (-4 *2 (-1253 *4)) - (-5 *1 (-781 *4 *2 *5 *3)) (-4 *3 (-1253 *5)))) - ((*1 *2 *1) (-12 (-4 *1 (-803 *2)) (-4 *2 (-174)))) - ((*1 *2 *1) (-12 (-4 *1 (-1006 *2)) (-4 *2 (-174)))) - ((*1 *1 *1) (-4 *1 (-1069)))) -(((*1 *2 *1 *1) - (-12 (-5 *2 (-2 (|:| -3930 *3) (|:| |coef1| (-788 *3)))) - (-5 *1 (-788 *3)) (-4 *3 (-562)) (-4 *3 (-1058))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-227)) (-5 *4 (-570)) (-5 *2 (-1044)) (-5 *1 (-764))))) +(((*1 *2 *1) (-12 (-5 *2 (-591)) (-5 *1 (-284))))) (((*1 *2 *1) (-12 (-5 *2 (-650 (-1168))) (-5 *1 (-1207))))) (((*1 *2 *1) (-12 (-4 *1 (-1143 *3)) (-4 *3 (-1058)) (-5 *2 - (-2 (|:| -3917 (-777)) (|:| |curves| (-777)) + (-2 (|:| -2471 (-777)) (|:| |curves| (-777)) (|:| |polygons| (-777)) (|:| |constructs| (-777))))))) -(((*1 *2 *2 *2 *2) - (-12 (-4 *2 (-13 (-368) (-10 -8 (-15 ** ($ $ (-413 (-570))))))) - (-5 *1 (-1137 *3 *2)) (-4 *3 (-1253 *2))))) -(((*1 *2) - (-12 (-5 *2 (-112)) (-5 *1 (-448 *3)) (-4 *3 (-1253 (-570)))))) -(((*1 *1 *2 *3) (-12 (-5 *3 (-570)) (-5 *1 (-424 *2)) (-4 *2 (-562))))) -(((*1 *1 *1 *1) (-5 *1 (-868)))) -(((*1 *2 *3 *3 *4) - (-12 (-5 *4 (-650 (-320 (-227)))) (-5 *3 (-227)) (-5 *2 (-112)) - (-5 *1 (-212))))) -(((*1 *2 *3 *4 *4) - (-12 (-5 *3 (-650 (-959 *5))) (-5 *4 (-112)) - (-4 *5 (-13 (-854) (-311) (-148) (-1031))) - (-5 *2 (-650 (-1055 *5 *6))) (-5 *1 (-1304 *5 *6 *7)) - (-14 *6 (-650 (-1186))) (-14 *7 (-650 (-1186))))) - ((*1 *2 *3 *4) - (-12 (-5 *3 (-650 (-959 *5))) (-5 *4 (-112)) - (-4 *5 (-13 (-854) (-311) (-148) (-1031))) - (-5 *2 (-650 (-1055 *5 *6))) (-5 *1 (-1304 *5 *6 *7)) - (-14 *6 (-650 (-1186))) (-14 *7 (-650 (-1186))))) - ((*1 *2 *3) - (-12 (-5 *3 (-650 (-959 *4))) - (-4 *4 (-13 (-854) (-311) (-148) (-1031))) - (-5 *2 (-650 (-1055 *4 *5))) (-5 *1 (-1304 *4 *5 *6)) - (-14 *5 (-650 (-1186))) (-14 *6 (-650 (-1186)))))) +(((*1 *2 *3 *4 *5 *6) + (-12 (-5 *6 (-928)) (-4 *5 (-311)) (-4 *3 (-1253 *5)) + (-5 *2 (-2 (|:| |plist| (-650 *3)) (|:| |modulo| *5))) + (-5 *1 (-466 *5 *3)) (-5 *4 (-650 *3))))) +(((*1 *2) (-12 (-5 *2 (-1186)) (-5 *1 (-1189))))) +(((*1 *2 *1) (-12 (-4 *1 (-560 *2)) (-4 *2 (-13 (-410) (-1212))))) + ((*1 *1 *1 *1) (-4 *1 (-799)))) +(((*1 *1 *1 *2 *3) + (-12 (-5 *2 (-650 (-1186))) (-5 *3 (-52)) (-5 *1 (-899 *4)) + (-4 *4 (-1109))))) +(((*1 *1 *1 *2) (-12 (-5 *2 (-570)) (-5 *1 (-331 *3)) (-4 *3 (-1227)))) + ((*1 *1 *1 *2) + (-12 (-5 *2 (-570)) (-5 *1 (-522 *3 *4)) (-4 *3 (-1227)) (-14 *4 *2)))) (((*1 *1 *2) (-12 (-5 *2 (-650 (-570))) (-5 *1 (-50 *3 *4)) (-4 *3 (-1058)) (-14 *4 (-650 (-1186))))) @@ -280,19 +221,40 @@ ((*1 *1 *1 *2) (-12 (-5 *2 (-777)) (-5 *1 (-1297 *3 *4)) (-4 *4 (-723 (-413 (-570)))) (-4 *3 (-856)) (-4 *4 (-174))))) +(((*1 *2 *3 *4) + (-12 (-4 *5 (-1109)) (-4 *6 (-893 *5)) (-5 *2 (-892 *5 *6 (-650 *6))) + (-5 *1 (-894 *5 *6 *4)) (-5 *3 (-650 *6)) (-4 *4 (-620 (-899 *5))))) + ((*1 *2 *3 *4) + (-12 (-4 *5 (-1109)) (-5 *2 (-650 (-298 *3))) (-5 *1 (-894 *5 *3 *4)) + (-4 *3 (-1047 (-1186))) (-4 *3 (-893 *5)) (-4 *4 (-620 (-899 *5))))) + ((*1 *2 *3 *4) + (-12 (-4 *5 (-1109)) (-5 *2 (-650 (-298 (-959 *3)))) + (-5 *1 (-894 *5 *3 *4)) (-4 *3 (-1058)) + (-1795 (-4 *3 (-1047 (-1186)))) (-4 *3 (-893 *5)) + (-4 *4 (-620 (-899 *5))))) + ((*1 *2 *3 *4) + (-12 (-4 *5 (-1109)) (-5 *2 (-896 *5 *3)) (-5 *1 (-894 *5 *3 *4)) + (-1795 (-4 *3 (-1047 (-1186)))) (-1795 (-4 *3 (-1058))) + (-4 *3 (-893 *5)) (-4 *4 (-620 (-899 *5)))))) +(((*1 *2 *3 *4 *3) + (-12 (-5 *3 (-570)) (-5 *4 (-695 (-227))) (-5 *2 (-1044)) + (-5 *1 (-753))))) (((*1 *1 *1) (-5 *1 (-542)))) +(((*1 *2 *3 *4 *5 *6 *7) + (-12 (-5 *3 (-1166 (-2 (|:| |k| (-570)) (|:| |c| *6)))) + (-5 *4 (-1035 (-849 (-570)))) (-5 *5 (-1186)) (-5 *7 (-413 (-570))) + (-4 *6 (-1058)) (-5 *2 (-868)) (-5 *1 (-601 *6))))) (((*1 *2 *2) - (-12 (-4 *3 (-562)) (-5 *1 (-279 *3 *2)) - (-4 *2 (-13 (-436 *3) (-1011)))))) -(((*1 *2 *2 *3 *2) - (-12 (-5 *3 (-777)) (-4 *4 (-354)) (-5 *1 (-218 *4 *2)) - (-4 *2 (-1253 *4)))) - ((*1 *2 *2 *3 *2 *3) - (-12 (-5 *3 (-570)) (-5 *1 (-702 *2)) (-4 *2 (-1253 *3))))) -(((*1 *2 *1) (-12 (-4 *1 (-167 *2)) (-4 *2 (-174)) (-4 *2 (-1212)))) - ((*1 *2 *1) (-12 (-5 *1 (-335 *2)) (-4 *2 (-856)))) - ((*1 *2 *1) (-12 (-5 *2 (-650 *3)) (-5 *1 (-618 *3)) (-4 *3 (-1109))))) -(((*1 *2) (-12 (-5 *2 (-384)) (-5 *1 (-1049))))) + (-12 + (-5 *2 + (-650 + (-2 (|:| |lcmfij| *4) (|:| |totdeg| (-777)) (|:| |poli| *6) + (|:| |polj| *6)))) + (-4 *4 (-799)) (-4 *6 (-956 *3 *4 *5)) (-4 *3 (-458)) (-4 *5 (-856)) + (-5 *1 (-455 *3 *4 *5 *6))))) +(((*1 *2 *1) + (-12 (-5 *2 (-3 (|:| |fst| (-440)) (|:| -2713 "void"))) + (-5 *1 (-443))))) (((*1 *2 *3) (|partial| -12 (-5 *3 (-52)) (-5 *1 (-51 *2)) (-4 *2 (-1227)))) ((*1 *1 *2) @@ -368,26 +330,26 @@ (-4 *1 (-985 *3 *4 *5 *6)))) ((*1 *2 *1) (|partial| -12 (-4 *1 (-1047 *2)) (-4 *2 (-1227)))) ((*1 *1 *2) - (|partial| -2895 + (|partial| -2892 (-12 (-5 *2 (-959 *3)) - (-12 (-1796 (-4 *3 (-38 (-413 (-570))))) - (-1796 (-4 *3 (-38 (-570)))) (-4 *5 (-620 (-1186)))) + (-12 (-1795 (-4 *3 (-38 (-413 (-570))))) + (-1795 (-4 *3 (-38 (-570)))) (-4 *5 (-620 (-1186)))) (-4 *3 (-1058)) (-4 *1 (-1074 *3 *4 *5)) (-4 *4 (-799)) (-4 *5 (-856))) (-12 (-5 *2 (-959 *3)) - (-12 (-1796 (-4 *3 (-551))) (-1796 (-4 *3 (-38 (-413 (-570))))) + (-12 (-1795 (-4 *3 (-551))) (-1795 (-4 *3 (-38 (-413 (-570))))) (-4 *3 (-38 (-570))) (-4 *5 (-620 (-1186)))) (-4 *3 (-1058)) (-4 *1 (-1074 *3 *4 *5)) (-4 *4 (-799)) (-4 *5 (-856))) (-12 (-5 *2 (-959 *3)) - (-12 (-1796 (-4 *3 (-1001 (-570)))) (-4 *3 (-38 (-413 (-570)))) + (-12 (-1795 (-4 *3 (-1001 (-570)))) (-4 *3 (-38 (-413 (-570)))) (-4 *5 (-620 (-1186)))) (-4 *3 (-1058)) (-4 *1 (-1074 *3 *4 *5)) (-4 *4 (-799)) (-4 *5 (-856))))) ((*1 *1 *2) - (|partial| -2895 + (|partial| -2892 (-12 (-5 *2 (-959 (-570))) (-4 *1 (-1074 *3 *4 *5)) - (-12 (-1796 (-4 *3 (-38 (-413 (-570))))) (-4 *3 (-38 (-570))) + (-12 (-1795 (-4 *3 (-38 (-413 (-570))))) (-4 *3 (-38 (-570))) (-4 *5 (-620 (-1186)))) (-4 *3 (-1058)) (-4 *4 (-799)) (-4 *5 (-856))) (-12 (-5 *2 (-959 (-570))) (-4 *1 (-1074 *3 *4 *5)) @@ -397,400 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(-4 *1 (-35))) ((*1 *2 *2) (-12 (-4 *3 (-562)) (-5 *1 (-279 *3 *2)) @@ -1489,30 +1542,53 @@ ((*1 *2 *2) (-12 (-5 *2 (-1166 *3)) (-4 *3 (-38 (-413 (-570)))) (-5 *1 (-1172 *3))))) -(((*1 *1) (-5 *1 (-443)))) -(((*1 *1) (-5 *1 (-1279)))) -(((*1 *2 *2 *3) - (|partial| -12 (-5 *3 (-777)) (-4 *1 (-992 *2)) (-4 *2 (-1212))))) +(((*1 *1 *1) (-12 (-5 *1 (-176 *2)) (-4 *2 (-311)))) + ((*1 *2 *3) + (-12 (-5 *3 (-928)) (-5 *2 (-1188 (-413 (-570)))) (-5 *1 (-192)))) + ((*1 *1 *1) (-12 (-4 *1 (-680 *2)) (-4 *2 (-1227)))) + ((*1 *1 *1) (-4 *1 (-875 *2))) + ((*1 *1 *1) + (-12 (-4 *1 (-982 *2 *3 *4)) (-4 *2 (-1058)) (-4 *3 (-798)) + (-4 *4 (-856))))) +(((*1 *2 *1) + (-12 (-5 *2 (-650 *4)) (-5 *1 (-1150 *3 *4)) + (-4 *3 (-13 (-1109) (-34))) (-4 *4 (-13 (-1109) (-34)))))) +(((*1 *2 *2) + (-12 (-4 *3 (-1058)) (-4 *4 (-1253 *3)) (-5 *1 (-165 *3 *4 *2)) + (-4 *2 (-1253 *4)))) + ((*1 *1 *1) (-12 (-5 *1 (-298 *2)) (-4 *2 (-1227))))) +(((*1 *1 *2 *3) + (-12 (-5 *1 (-655 *2 *3 *4)) (-4 *2 (-1109)) (-4 *3 (-23)) + (-14 *4 *3)))) +(((*1 *2 *3 *4 *4 *5 *6 *7) + (-12 (-5 *5 (-1186)) + (-5 *6 + (-1 + (-3 + (-2 (|:| |mainpart| *4) + (|:| |limitedlogs| + (-650 (-2 (|:| |coeff| *4) (|:| |logand| *4))))) + "failed") + *4 (-650 *4))) + (-5 *7 + (-1 (-3 (-2 (|:| -4087 *4) (|:| |coeff| *4)) "failed") *4 *4)) + (-4 *4 (-13 (-1212) (-27) (-436 *8))) + (-4 *8 (-13 (-458) (-148) (-1047 *3) (-645 *3))) (-5 *3 (-570)) + (-5 *2 (-2 (|:| |ans| *4) (|:| -4413 *4) (|:| |sol?| (-112)))) + (-5 *1 (-1022 *8 *4))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-650 *5)) (-5 *4 (-928)) (-4 *5 (-856)) + (-5 *2 (-59 (-650 (-678 *5)))) (-5 *1 (-678 *5))))) (((*1 *2 *1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-173)))) ((*1 *2 *1) (-12 (-5 *2 (-1282)) (-5 *1 (-1278)))) ((*1 *2 *1) (-12 (-5 *2 (-1282)) (-5 *1 (-1279))))) -(((*1 *2 *3) - (-12 (-5 *3 (-650 (-2 (|:| -3804 *4) (|:| -3079 (-570))))) - (-4 *4 (-1253 (-570))) (-5 *2 (-743 (-777))) (-5 *1 (-448 *4)))) - ((*1 *2 *3) - (-12 (-5 *3 (-424 *5)) (-4 *5 (-1253 *4)) (-4 *4 (-1058)) - (-5 *2 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*1)) - (-4 *1 (-333 *4)))) - ((*1 *2) (-12 (-4 *3 (-368)) (-5 *2 (-1277 *1)) (-4 *1 (-333 *3)))) +(((*1 *2 *3 *1) + (-12 (|has| *1 (-6 -4452)) (-4 *1 (-610 *4 *3)) (-4 *4 (-1109)) + (-4 *3 (-1227)) (-4 *3 (-1109)) (-5 *2 (-112))))) +(((*1 *2 *3 *3 *3 *3) + (-12 (-5 *3 (-570)) (-5 *2 (-112)) (-5 *1 (-486))))) +(((*1 *2) + (-12 (-4 *3 (-458)) (-4 *4 (-799)) (-4 *5 (-856)) + (-4 *6 (-1074 *3 *4 *5)) (-5 *2 (-1282)) + (-5 *1 (-1081 *3 *4 *5 *6 *7)) (-4 *7 (-1080 *3 *4 *5 *6)))) ((*1 *2) - (-12 (-4 *3 (-174)) (-4 *4 (-1253 *3)) (-5 *2 (-1277 *1)) - (-4 *1 (-415 *3 *4)))) - ((*1 *2 *1) - (-12 (-4 *3 (-311)) (-4 *4 (-1001 *3)) (-4 *5 (-1253 *4)) - (-5 *2 (-1277 *6)) (-5 *1 (-419 *3 *4 *5 *6)) - (-4 *6 (-13 (-415 *4 *5) (-1047 *4))))) - ((*1 *2 *1) - (-12 (-4 *3 (-311)) (-4 *4 (-1001 *3)) (-4 *5 (-1253 *4)) - (-5 *2 (-1277 *6)) (-5 *1 (-420 *3 *4 *5 *6 *7)) - (-4 *6 (-415 *4 *5)) (-14 *7 *2))) - ((*1 *2) (-12 (-4 *3 (-174)) (-5 *2 (-1277 *1)) (-4 *1 (-423 *3)))) + (-12 (-4 *3 (-458)) (-4 *4 (-799)) (-4 *5 (-856)) + (-4 *6 (-1074 *3 *4 *5)) (-5 *2 (-1282)) + (-5 *1 (-1117 *3 *4 *5 *6 *7)) (-4 *7 (-1080 *3 *4 *5 *6))))) +(((*1 *2 *3) + (-12 (-5 *2 (-1182 (-570))) (-5 *1 (-193)) (-5 *3 (-570)))) + ((*1 *2 *3 *2) (-12 (-5 *3 (-777)) (-5 *1 (-789 *2)) (-4 *2 (-174)))) ((*1 *2 *3) - (-12 (-5 *3 (-928)) (-5 *2 (-1277 (-1277 *4))) (-5 *1 (-534 *4)) - (-4 *4 (-354))))) + (-12 (-5 *2 (-1182 (-570))) (-5 *1 (-949)) (-5 *3 (-570))))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *5 (-112)) (-4 *4 (-13 (-368) (-854))) (-5 *2 (-424 *3)) + (-5 *1 (-183 *4 *3)) (-4 *3 (-1253 (-171 *4))))) + ((*1 *2 *3 *4) + (-12 (-4 *4 (-13 (-368) (-854))) (-5 *2 (-424 *3)) + (-5 *1 (-183 *4 *3)) (-4 *3 (-1253 (-171 *4)))))) +(((*1 *2 *1) (-12 (-5 *2 (-1168)) (-5 *1 (-1208))))) +(((*1 *2 *3) + (|partial| -12 (-4 *4 (-562)) (-4 *5 (-799)) (-4 *6 (-856)) + (-4 *7 (-1074 *4 *5 *6)) + (-5 *2 (-2 (|:| |bas| (-482 *4 *5 *6 *7)) (|:| -3353 (-650 *7)))) + (-5 *1 (-986 *4 *5 *6 *7)) (-5 *3 (-650 *7))))) (((*1 *2 *1) (-12 (-4 *1 (-167 *2)) (-4 *2 (-174)))) ((*1 *2 *3) (-12 (-4 *4 (-13 (-562) (-1047 (-570)))) (-5 *2 (-320 *4)) @@ -3164,6 +2978,9 @@ (-5 *1 (-1216 *3 *2)) (-4 *2 (-13 (-27) (-1212) (-436 *3)))))) (((*1 *2 *1) (-12 (-5 *2 (-650 (-512))) (-5 *1 (-49)))) ((*1 *2 *1) (-12 (-5 *2 (-650 (-882))) (-5 *1 (-489))))) +(((*1 *2 *2) + (-12 (-4 *3 (-458)) (-5 *1 (-1218 *3 *2)) + (-4 *2 (-13 (-436 *3) (-1212)))))) (((*1 *2 *1 *3 *3) (-12 (-5 *3 (-570)) (-4 *1 (-57 *2 *4 *5)) (-4 *4 (-378 *2)) (-4 *5 (-378 *2)) (-4 *2 (-1227)))) @@ -3176,25 +2993,27 @@ (-12 (-5 *3 (-570)) (-4 *1 (-1062 *4 *5 *2 *6 *7)) (-4 *6 (-240 *5 *2)) (-4 *7 (-240 *4 *2)) (-4 *2 (-1058))))) (((*1 *2 *3) - (-12 (-5 *3 (-1 *5 *4 *4)) (-4 *4 (-1109)) (-4 *5 (-1109)) - (-5 *2 (-1 *5 *4)) (-5 *1 (-689 *4 *5))))) -(((*1 *2 *3 *2) (-12 (-5 *3 (-777)) (-5 *1 (-862 *2)) (-4 *2 (-174))))) + (-12 (-5 *3 (-1166 (-227))) (-5 *2 (-650 (-1168))) (-5 *1 (-194)))) + ((*1 *2 *3) + (-12 (-5 *3 (-1166 (-227))) (-5 *2 (-650 (-1168))) (-5 *1 (-304)))) + ((*1 *2 *3) + (-12 (-5 *3 (-1166 (-227))) (-5 *2 (-650 (-1168))) (-5 *1 (-309))))) (((*1 *2 *2) (-12 (-4 *3 (-562)) (-5 *1 (-279 *3 *2)) (-4 *2 (-13 (-436 *3) (-1011)))))) -(((*1 *2 *3 *4 *4 *5 *6) - (-12 (-5 *3 (-650 (-650 (-950 (-227))))) (-5 *4 (-880)) - (-5 *5 (-928)) (-5 *6 (-650 (-266))) (-5 *2 (-474)) (-5 *1 (-1281)))) - ((*1 *2 *3) - (-12 (-5 *3 (-650 (-650 (-950 (-227))))) (-5 *2 (-474)) - (-5 *1 (-1281)))) - ((*1 *2 *3 *4) - (-12 (-5 *3 (-650 (-650 (-950 (-227))))) (-5 *4 (-650 (-266))) - (-5 *2 (-474)) (-5 *1 (-1281))))) -(((*1 *1) (-5 *1 (-142))) ((*1 *1 *1) (-5 *1 (-145))) - ((*1 *1 *1) (-4 *1 (-1153)))) +(((*1 *2 *1 *2) + (-12 (|has| *1 (-6 -4453)) (-4 *1 (-1019 *2)) (-4 *2 (-1227))))) +(((*1 *2 *1 *3) (-12 (-5 *3 (-384)) (-5 *2 (-1282)) (-5 *1 (-1279))))) (((*1 *2 *1) (-12 (-5 *2 (-650 (-1226))) (-5 *1 (-687)))) ((*1 *2 *1) (-12 (-5 *2 (-650 (-1191))) (-5 *1 (-1127))))) +(((*1 *2 *3 *4) + (-12 (-4 *5 (-799)) (-4 *6 (-856)) (-4 *3 (-562)) + (-4 *7 (-956 *3 *5 *6)) + (-5 *2 (-2 (|:| -2007 (-777)) (|:| -1453 *8) (|:| |radicand| *8))) + (-5 *1 (-960 *5 *6 *3 *7 *8)) (-5 *4 (-777)) + (-4 *8 + (-13 (-368) + (-10 -8 (-15 -3802 ($ *7)) (-15 -4402 (*7 $)) (-15 -4416 (*7 $)))))))) (((*1 *1 *1) (-12 (-5 *1 (-344 *2 *3 *4)) (-14 *2 (-650 (-1186))) (-14 *3 (-650 (-1186))) (-4 *4 (-393)))) @@ -3204,28 +3023,18 @@ ((*1 *1 *2) (-12 (-5 *2 (-413 (-570))) (-4 *1 (-1021)))) ((*1 *1 *1 *2) (-12 (-4 *1 (-1021)) (-5 *2 (-928)))) ((*1 *1 *1) (-4 *1 (-1021)))) -(((*1 *1 *1) (-4 *1 (-635))) - ((*1 *2 *2) - (-12 (-4 *3 (-562)) (-5 *1 (-636 *3 *2)) - (-4 *2 (-13 (-436 *3) (-1011) (-1212)))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-413 (-959 *5))) (-5 *4 (-1186)) - (-4 *5 (-13 (-311) (-148))) (-5 *2 (-650 (-320 *5))) - (-5 *1 (-1138 *5)))) - ((*1 *2 *3 *4) - (-12 (-5 *3 (-650 (-413 (-959 *5)))) (-5 *4 (-650 (-1186))) - (-4 *5 (-13 (-311) (-148))) (-5 *2 (-650 (-650 (-320 *5)))) - (-5 *1 (-1138 *5))))) +(((*1 *2 *1) + (-12 (-5 *2 (-650 (-1213 *3))) (-5 *1 (-1213 *3)) (-4 *3 (-1109))))) (((*1 *1 *2) (-12 (-5 *2 (-650 *3)) (-4 *3 (-1227)) (-4 *1 (-152 *3)))) ((*1 *1 *2) (-12 - (-5 *2 (-650 (-2 (|:| -3994 (-777)) (|:| -2289 *4) (|:| |num| *4)))) + (-5 *2 (-650 (-2 (|:| -2007 (-777)) (|:| -2288 *4) (|:| |num| *4)))) (-4 *4 (-1253 *3)) (-4 *3 (-13 (-368) (-148))) (-5 *1 (-405 *3 *4)))) ((*1 *1 *2 *3 *4) - (-12 (-5 *2 (-3 (|:| |fst| (-440)) (|:| -2716 "void"))) + (-12 (-5 *2 (-3 (|:| |fst| (-440)) (|:| -2713 "void"))) (-5 *3 (-650 (-959 (-570)))) (-5 *4 (-112)) (-5 *1 (-443)))) ((*1 *1 *2 *3 *4) - (-12 (-5 *2 (-3 (|:| |fst| (-440)) (|:| -2716 "void"))) + (-12 (-5 *2 (-3 (|:| |fst| (-440)) (|:| -2713 "void"))) (-5 *3 (-650 (-1186))) (-5 *4 (-112)) (-5 *1 (-443)))) ((*1 *2 *1) (-12 (-5 *2 (-1166 *3)) (-5 *1 (-607 *3)) (-4 *3 (-1227)))) @@ -3245,24 +3054,24 @@ ((*1 *1 *2 *3) (-12 (-5 *1 (-719 *2 *3 *4)) (-4 *2 (-856)) (-4 *3 (-1109)) (-14 *4 - (-1 (-112) (-2 (|:| -2267 *2) (|:| -3994 *3)) - (-2 (|:| -2267 *2) (|:| -3994 *3)))))) + (-1 (-112) (-2 (|:| -2266 *2) (|:| -2007 *3)) + (-2 (|:| -2266 *2) (|:| -2007 *3)))))) ((*1 *1 *2 *3) (-12 (-5 *2 (-512)) (-5 *3 (-1127)) (-5 *1 (-844)))) ((*1 *1 *2 *3) (-12 (-5 *1 (-879 *2 *3)) (-4 *2 (-1227)) (-4 *3 (-1227)))) ((*1 *1 *2) - (-12 (-5 *2 (-650 (-2 (|:| -2107 (-1186)) (|:| -2340 *4)))) + (-12 (-5 *2 (-650 (-2 (|:| -2106 (-1186)) (|:| -2340 *4)))) (-4 *4 (-1109)) (-5 *1 (-896 *3 *4)) (-4 *3 (-1109)))) ((*1 *2 *3 *4) (-12 (-5 *4 (-650 *5)) (-4 *5 (-13 (-1109) (-34))) (-5 *2 (-650 (-1149 *3 *5))) (-5 *1 (-1149 *3 *5)) (-4 *3 (-13 (-1109) (-34))))) ((*1 *2 *3) - (-12 (-5 *3 (-650 (-2 (|:| |val| *4) (|:| -3687 *5)))) + (-12 (-5 *3 (-650 (-2 (|:| |val| *4) (|:| -3684 *5)))) (-4 *4 (-13 (-1109) (-34))) (-4 *5 (-13 (-1109) (-34))) (-5 *2 (-650 (-1149 *4 *5))) (-5 *1 (-1149 *4 *5)))) ((*1 *1 *2) - (-12 (-5 *2 (-2 (|:| |val| *3) (|:| -3687 *4))) + (-12 (-5 *2 (-2 (|:| |val| *3) (|:| -3684 *4))) (-4 *3 (-13 (-1109) (-34))) (-4 *4 (-13 (-1109) (-34))) (-5 *1 (-1149 *3 *4)))) ((*1 *1 *2 *3) @@ -3285,18 +3094,18 @@ (-4 *4 (-13 (-1109) (-34))) (-5 *1 (-1150 *3 *4)))) ((*1 *1 *2 *3) (-12 (-5 *1 (-1175 *2 *3)) (-4 *2 (-1109)) (-4 *3 (-1109))))) -(((*1 *2 *3) (-12 (-5 *3 (-950 *2)) (-5 *1 (-991 *2)) (-4 *2 (-1058))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-413 (-570))) (-4 *5 (-799)) (-4 *6 (-856)) - (-4 *7 (-562)) (-4 *8 (-956 *7 *5 *6)) - (-5 *2 (-2 (|:| -3994 (-777)) (|:| -1453 *9) (|:| |radicand| *9))) - (-5 *1 (-960 *5 *6 *7 *8 *9)) (-5 *4 (-777)) - (-4 *9 - (-13 (-368) - (-10 -8 (-15 -3802 ($ *8)) (-15 -4402 (*8 $)) (-15 -4416 (*8 $)))))))) -(((*1 *2 *3 *4 *5 *6 *5) - (-12 (-5 *4 (-171 (-227))) (-5 *5 (-570)) (-5 *6 (-1168)) - (-5 *3 (-227)) (-5 *2 (-1044)) (-5 *1 (-764))))) +(((*1 *1 *1) + (-12 (-5 *1 (-601 *2)) (-4 *2 (-38 (-413 (-570)))) (-4 *2 (-1058))))) +(((*1 *1 *1) + (-12 (-5 *1 (-1149 *2 *3)) (-4 *2 (-13 (-1109) (-34))) + (-4 *3 (-13 (-1109) (-34)))))) +(((*1 *2 *3) + (-12 (-5 *3 (-298 (-959 (-570)))) + (-5 *2 + (-2 (|:| |varOrder| (-650 (-1186))) + (|:| |inhom| (-3 (-650 (-1277 (-777))) "failed")) + (|:| |hom| (-650 (-1277 (-777)))))) + (-5 *1 (-238))))) (((*1 *2 *2 *3) (-12 (-5 *3 (-1186)) (-4 *4 (-13 (-311) (-1047 (-570)) (-645 (-570)) (-148))) @@ -3305,17 +3114,39 @@ ((*1 *1 *1) (-5 *1 (-868))) ((*1 *2 *3) (-12 (-5 *2 (-1166 *3)) (-5 *1 (-1170 *3)) (-4 *3 (-1058))))) -(((*1 *2 *1) (-12 (-5 *2 (-1282)) (-5 *1 (-828))))) -(((*1 *1 *1) - (-12 (-5 *1 (-601 *2)) (-4 *2 (-38 (-413 (-570)))) (-4 *2 (-1058))))) -(((*1 *2 *3 *4 *4 *5) - (-12 (-5 *4 (-618 *3)) (-5 *5 (-1 (-1182 *3) (-1182 *3))) - (-4 *3 (-13 (-27) (-436 *6))) (-4 *6 (-562)) (-5 *2 (-592 *3)) - (-5 *1 (-557 *6 *3))))) -(((*1 *1 *1) - (-12 (-4 *1 (-1074 *2 *3 *4)) (-4 *2 (-1058)) (-4 *3 (-799)) - (-4 *4 (-856)) (-4 *2 (-562))))) -(((*1 *2 *1) (-12 (-4 *1 (-533)) (-5 *2 (-697 (-1233)))))) +(((*1 *2 *3 *4) + (-12 (-4 *5 (-458)) (-4 *6 (-799)) (-4 *7 (-856)) + (-4 *3 (-1074 *5 *6 *7)) + (-5 *2 (-650 (-2 (|:| |val| (-112)) (|:| -3684 *4)))) + (-5 *1 (-1117 *5 *6 *7 *3 *4)) (-4 *4 (-1080 *5 *6 *7 *3))))) +(((*1 *2 *1) + (-12 (-4 *1 (-1112 *3 *4 *5 *6 *7)) (-4 *3 (-1109)) (-4 *4 (-1109)) + (-4 *5 (-1109)) (-4 *6 (-1109)) (-4 *7 (-1109)) (-5 *2 (-112))))) +(((*1 *2 *3 *3) + (-12 (-4 *4 (-562)) (-5 *2 (-650 (-777))) (-5 *1 (-978 *4 *3)) + (-4 *3 (-1253 *4))))) +(((*1 *2 *3) + (-12 (|has| *6 (-6 -4453)) (-4 *4 (-368)) (-4 *5 (-378 *4)) + (-4 *6 (-378 *4)) (-5 *2 (-650 *6)) (-5 *1 (-527 *4 *5 *6 *3)) + (-4 *3 (-693 *4 *5 *6)))) + ((*1 *2 *3) + (-12 (|has| *9 (-6 -4453)) (-4 *4 (-562)) (-4 *5 (-378 *4)) + (-4 *6 (-378 *4)) (-4 *7 (-1001 *4)) (-4 *8 (-378 *7)) + (-4 *9 (-378 *7)) (-5 *2 (-650 *6)) + (-5 *1 (-528 *4 *5 *6 *3 *7 *8 *9 *10)) (-4 *3 (-693 *4 *5 *6)) + (-4 *10 (-693 *7 *8 *9)))) + ((*1 *2 *1) + (-12 (-4 *1 (-693 *3 *4 *5)) (-4 *3 (-1058)) (-4 *4 (-378 *3)) + (-4 *5 (-378 *3)) (-4 *3 (-562)) (-5 *2 (-650 *5)))) + ((*1 *2 *3) + (-12 (-4 *4 (-562)) (-4 *4 (-174)) (-4 *5 (-378 *4)) + (-4 *6 (-378 *4)) (-5 *2 (-650 *6)) (-5 *1 (-694 *4 *5 *6 *3)) + (-4 *3 (-693 *4 *5 *6)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1062 *3 *4 *5 *6 *7)) (-4 *5 (-1058)) + (-4 *6 (-240 *4 *5)) (-4 *7 (-240 *3 *5)) (-4 *5 (-562)) + (-5 *2 (-650 *7))))) +(((*1 *2 *2) (-12 (-5 *2 (-1129)) (-5 *1 (-334))))) (((*1 *2 *3 *4) (-12 (-5 *4 (-650 (-48))) (-5 *2 (-424 *3)) (-5 *1 (-39 *3)) (-4 *3 (-1253 (-48))))) @@ -3365,7 +3196,7 @@ (-4 *4 (-13 (-856) (-10 -8 (-15 -1426 ((-1186) $)) - (-15 -2800 ((-3 $ "failed") (-1186)))))) + (-15 -2797 ((-3 $ "failed") (-1186)))))) (-4 *5 (-799)) (-4 *7 (-562)) (-5 *2 (-424 *3)) (-5 *1 (-462 *4 *5 *6 *7 *3)) (-4 *6 (-562)) (-4 *3 (-956 *7 *5 *4)))) @@ -3415,7 +3246,7 @@ (-4 *5 (-13 (-856) (-10 -8 (-15 -1426 ((-1186) $)) - (-15 -2800 ((-3 $ "failed") (-1186)))))) + (-15 -2797 ((-3 $ "failed") (-1186)))))) (-4 *6 (-311)) (-5 *2 (-424 *3)) (-5 *1 (-736 *4 *5 *6 *3)) (-4 *3 (-956 (-959 *6) *4 *5)))) ((*1 *2 *3) @@ -3456,7 +3287,9 @@ ((*1 *2 *1) (-12 (-5 *2 (-424 *1)) (-4 *1 (-1231)))) ((*1 *2 *3) (-12 (-5 *2 (-424 *3)) (-5 *1 (-1242 *3)) (-4 *3 (-1253 (-570)))))) -(((*1 *1 *1 *1) (-12 (-4 *1 (-858 *2)) (-4 *2 (-1058)) (-4 *2 (-368))))) +(((*1 *2 *3) + (-12 (-5 *3 (-825 *4)) (-4 *4 (-856)) (-5 *2 (-112)) + (-5 *1 (-678 *4))))) (((*1 *1 *2) (-12 (-5 *2 (-1277 *3)) (-4 *3 (-368)) (-14 *6 (-1277 (-695 *3))) (-5 *1 (-44 *3 *4 *5 *6)) (-14 *4 (-928)) (-14 *5 (-650 (-1186))))) @@ -3570,85 +3403,85 @@ ((*1 *1 *2) (-12 (-4 *1 (-379 *2 *3)) (-4 *2 (-856)) (-4 *3 (-174)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1190)) (|:| -3265 (-650 (-334))))) + (-5 *2 (-2 (|:| |localSymbols| (-1190)) (|:| -3261 (-650 (-334))))) (-4 *1 (-388)))) ((*1 *1 *2) (-12 (-5 *2 (-334)) (-4 *1 (-388)))) ((*1 *1 *2) (-12 (-5 *2 (-650 (-334))) (-4 *1 (-388)))) ((*1 *1 *2) (-12 (-5 *2 (-695 (-705))) (-4 *1 (-388)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1190)) (|:| -3265 (-650 (-334))))) + (-5 *2 (-2 (|:| |localSymbols| (-1190)) (|:| -3261 (-650 (-334))))) (-4 *1 (-389)))) ((*1 *1 *2) (-12 (-5 *2 (-334)) (-4 *1 (-389)))) ((*1 *1 *2) (-12 (-5 *2 (-650 (-334))) (-4 *1 (-389)))) ((*1 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singularities not yet evaluated"))) + (|:| -1477 + (-3 (|:| |finite| "The range is finite") + (|:| |lowerInfinite| + "The bottom of range is infinite") + (|:| |upperInfinite| "The top of range is infinite") + (|:| |bothInfinite| + "Both top and bottom points are infinite") + (|:| |notEvaluated| "Range not yet evaluated")))))))) + (-5 *1 (-565))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-1186)) (-5 *4 (-959 (-570))) (-5 *2 (-334)) + (-5 *1 (-336))))) +(((*1 *2 *1) + (-12 (-5 *2 (-176 (-413 (-570)))) (-5 *1 (-118 *3)) (-14 *3 (-570)))) + ((*1 *1 *2 *3 *3) + (-12 (-5 *3 (-1166 *2)) (-4 *2 (-311)) (-5 *1 (-176 *2)))) + ((*1 *1 *2) (-12 (-5 *2 (-413 *3)) (-4 *3 (-311)) (-5 *1 (-176 *3)))) + ((*1 *2 *3) + (-12 (-5 *2 (-176 (-570))) (-5 *1 (-771 *3)) (-4 *3 (-410)))) + ((*1 *2 *1) + (-12 (-5 *2 (-176 (-413 (-570)))) (-5 *1 (-877 *3)) (-14 *3 (-570)))) + ((*1 *2 *1) + (-12 (-14 *3 (-570)) (-5 *2 (-176 (-413 (-570)))) + (-5 *1 (-878 *3 *4)) (-4 *4 (-875 *3))))) +(((*1 *1 *1 *1) (-5 *1 (-227))) + ((*1 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*2 (-174))))) +(((*1 *2 *3) + (-12 (-5 *2 (-650 (-1182 (-570)))) (-5 *1 (-193)) (-5 *3 (-570))))) +(((*1 *1 *2 *3) + (-12 (-5 *2 (-512)) (-5 *3 (-650 (-972))) (-5 *1 (-109))))) (((*1 *1 *1) (-12 (-4 *1 (-378 *2)) (-4 *2 (-1227)) (-4 *2 (-856)))) ((*1 *1 *2 *1) (-12 (-5 *2 (-1 (-112) *3 *3)) (-4 *1 (-378 *3)) (-4 *3 (-1227)))) @@ -6130,45 +5805,33 @@ ((*1 *2 *1 *3) (-12 (-4 *4 (-1058)) (-4 *5 (-799)) (-4 *3 (-856)) (-4 *6 (-1074 *4 *5 *3)) - (-5 *2 (-2 (|:| |under| *1) (|:| -1920 *1) (|:| |upper| *1))) + (-5 *2 (-2 (|:| |under| *1) (|:| -1447 *1) (|:| |upper| *1))) (-4 *1 (-985 *4 *5 *3 *6))))) (((*1 *1 *2) (-12 (-5 *2 (-1129)) (-5 *1 (-334))))) -(((*1 *2 *1) - (-12 (-4 *1 (-1220 *3 *4 *5 *6)) (-4 *3 (-562)) (-4 *4 (-799)) - (-4 *5 (-856)) (-4 *6 (-1074 *3 *4 *5)) (-4 *5 (-373)) - (-5 *2 (-777))))) -(((*1 *2 *3 *4 *5 *6 *7) - (-12 (-5 *3 (-695 *11)) (-5 *4 (-650 (-413 (-959 *8)))) - (-5 *5 (-777)) (-5 *6 (-1168)) (-4 *8 (-13 (-311) (-148))) - (-4 *11 (-956 *8 *10 *9)) (-4 *9 (-13 (-856) (-620 (-1186)))) - (-4 *10 (-799)) - (-5 *2 - (-2 - (|:| |rgl| - (-650 - (-2 (|:| |eqzro| (-650 *11)) (|:| |neqzro| (-650 *11)) - (|:| |wcond| (-650 (-959 *8))) - (|:| |bsoln| - (-2 (|:| |partsol| (-1277 (-413 (-959 *8)))) - (|:| -3827 (-650 (-1277 (-413 (-959 *8)))))))))) - (|:| |rgsz| (-570)))) - (-5 *1 (-931 *8 *9 *10 *11)) (-5 *7 (-570))))) -(((*1 *2) - (-12 (-4 *1 (-347 *3 *4 *5)) (-4 *3 (-1231)) (-4 *4 (-1253 *3)) - (-4 *5 (-1253 (-413 *4))) (-5 *2 (-112))))) -(((*1 *2 *3 *2) - (-12 (-5 *2 (-112)) (-5 *3 (-650 (-266))) (-5 *1 (-264)))) - ((*1 *1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-266)))) - ((*1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-473)))) - ((*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-473))))) -(((*1 *2 *3 *2) - (-12 +(((*1 *1 *1 *1) (-5 *1 (-868)))) +(((*1 *2 *1 *1) + (-12 (-4 *3 (-562)) (-4 *3 (-1058)) + (-5 *2 (-2 (|:| -1604 *1) (|:| -1743 *1))) (-4 *1 (-858 *3)))) + ((*1 *2 *3 *3 *4) + (-12 (-5 *4 (-99 *5)) (-4 *5 (-562)) (-4 *5 (-1058)) + (-5 *2 (-2 (|:| -1604 *3) (|:| -1743 *3))) (-5 *1 (-859 *5 *3)) + (-4 *3 (-858 *5))))) +(((*1 *2 *3) + (-12 (-5 *3 (-1182 *4)) (-4 *4 (-354)) (-5 *2 (-965 (-1129))) + (-5 *1 (-351 *4))))) +(((*1 *2 *1 *1) + (-12 (-4 *1 (-1019 *3)) (-4 *3 (-1227)) (-4 *3 (-1109)) + (-5 *2 (-112))))) +(((*1 *2 *3 *4 *5) + (-12 (-4 *6 (-1253 *9)) (-4 *7 (-799)) (-4 *8 (-856)) (-4 *9 (-311)) + (-4 *10 (-956 *9 *7 *8)) (-5 *2 - (-650 - (-2 (|:| |lcmfij| *3) (|:| |totdeg| (-777)) (|:| |poli| *6) - (|:| |polj| *6)))) - (-4 *3 (-799)) (-4 *6 (-956 *4 *3 *5)) (-4 *4 (-458)) (-4 *5 (-856)) - (-5 *1 (-455 *4 *3 *5 *6))))) + (-2 (|:| |deter| (-650 (-1182 *10))) + (|:| |dterm| + (-650 (-650 (-2 (|:| -3790 (-777)) (|:| |pcoef| *10))))) + (|:| |nfacts| (-650 *6)) (|:| |nlead| (-650 *10)))) + (-5 *1 (-784 *6 *7 *8 *9 *10)) (-5 *3 (-1182 *10)) (-5 *4 (-650 *6)) + (-5 *5 (-650 *10))))) (((*1 *1 *1 *2) (-12 (-5 *2 (-650 (-266))) (-5 *1 (-1278)))) ((*1 *2 *1) (-12 (-5 *2 (-650 (-266))) (-5 *1 (-1278)))) ((*1 *1 *1 *2) (-12 (-5 *2 (-650 (-266))) (-5 *1 (-1279)))) @@ -6182,24 +5845,24 @@ ((*1 *1 *2 *3) (-12 (-5 *2 (-825 *4)) (-4 *4 (-856)) (-4 *1 (-1294 *4 *3)) (-4 *3 (-1058))))) -(((*1 *2 *3 *2) - (-12 (-5 *3 (-1182 *2)) (-4 *2 (-436 *4)) (-4 *4 (-562)) - (-5 *1 (-32 *4 *2))))) -(((*1 *1 *1 *1) (-12 (-4 *1 (-989 *2)) (-4 *2 (-1058)))) - ((*1 *2 *2 *2) (-12 (-5 *2 (-950 (-227))) (-5 *1 (-1223)))) - ((*1 *1 *1 *1) - (-12 (-4 *1 (-1275 *2)) (-4 *2 (-1227)) (-4 *2 (-1058))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-227)) (-5 *4 (-570)) (-5 *2 (-1044)) (-5 *1 (-764))))) +(((*1 *1 *2) + (|partial| -12 (-5 *2 (-650 *6)) (-4 *6 (-1074 *3 *4 *5)) + (-4 *3 (-562)) (-4 *4 (-799)) (-4 *5 (-856)) + (-5 *1 (-1290 *3 *4 *5 *6)))) + ((*1 *1 *2 *3 *4) + (|partial| -12 (-5 *2 (-650 *8)) (-5 *3 (-1 (-112) *8 *8)) + (-5 *4 (-1 *8 *8 *8)) (-4 *8 (-1074 *5 *6 *7)) (-4 *5 (-562)) + (-4 *6 (-799)) (-4 *7 (-856)) (-5 *1 (-1290 *5 *6 *7 *8))))) +(((*1 *2 *3) (-12 (-5 *3 (-950 *2)) (-5 *1 (-991 *2)) (-4 *2 (-1058))))) +(((*1 *1 *1) + (-12 (-4 *1 (-1074 *2 *3 *4)) (-4 *2 (-1058)) (-4 *3 (-799)) + (-4 *4 (-856)) (-4 *2 (-458))))) (((*1 *2) (-12 (-5 *2 (-1282)) (-5 *1 (-397))))) -(((*1 *2 *2) - (-12 (-5 *2 (-1277 *1)) (-4 *1 (-347 *3 *4 *5)) (-4 *3 (-1231)) - (-4 *4 (-1253 *3)) (-4 *5 (-1253 (-413 *4)))))) -(((*1 *2 *3) - (-12 (-5 *3 (-650 (-227))) (-5 *2 (-650 (-1168))) (-5 *1 (-194)))) - ((*1 *2 *3) - (-12 (-5 *3 (-650 (-227))) (-5 *2 (-650 (-1168))) (-5 *1 (-304)))) - ((*1 *2 *3) - (-12 (-5 *3 (-650 (-227))) (-5 *2 (-650 (-1168))) (-5 *1 (-309))))) -(((*1 *1 *1 *1) (-4 *1 (-479))) ((*1 *1 *1 *1) (-4 *1 (-767)))) +(((*1 *2 *3 *3 *4) + (-12 (-5 *4 (-650 (-320 (-227)))) (-5 *3 (-227)) (-5 *2 (-112)) + (-5 *1 (-212))))) (((*1 *2 *1 *3 *4) (-12 (-5 *3 (-950 (-227))) (-5 *4 (-880)) (-5 *2 (-1282)) (-5 *1 (-474)))) @@ -6216,23 +5879,32 @@ (-12 (-5 *2 (-950 *3)) (-4 *1 (-1143 *3)) (-4 *3 (-1058)))) ((*1 *2 *3 *3 *3 *3) (-12 (-5 *2 (-950 (-227))) (-5 *1 (-1223)) (-5 *3 (-227))))) +(((*1 *2 *1) + (-12 (-5 *2 (-650 (-2 (|:| |gen| *3) (|:| -4390 (-570))))) + (-5 *1 (-366 *3)) (-4 *3 (-1109)))) + ((*1 *2 *1) + (-12 (-4 *1 (-391 *3)) (-4 *3 (-1109)) + (-5 *2 (-650 (-2 (|:| |gen| *3) (|:| -4390 (-777))))))) + ((*1 *2 *1) + (-12 (-5 *2 (-650 (-2 (|:| -3804 *3) (|:| -2007 (-570))))) + (-5 *1 (-424 *3)) (-4 *3 (-562))))) (((*1 *2 *3) - (-12 (-4 *1 (-354)) (-5 *3 (-570)) (-5 *2 (-1199 (-928) (-777)))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-650 (-1 (-112) *8))) (-4 *8 (-1074 *5 *6 *7)) - (-4 *5 (-562)) (-4 *6 (-799)) (-4 *7 (-856)) - (-5 *2 (-2 (|:| |goodPols| (-650 *8)) (|:| |badPols| (-650 *8)))) - (-5 *1 (-986 *5 *6 *7 *8)) (-5 *4 (-650 *8))))) -(((*1 *2 *2) - (-12 (-4 *3 (-1058)) (-4 *4 (-1253 *3)) (-5 *1 (-165 *3 *4 *2)) - (-4 *2 (-1253 *4)))) - ((*1 *1 *1) (-12 (-5 *1 (-298 *2)) (-4 *2 (-1227))))) -(((*1 *2 *3 *4) - (-12 (-4 *5 (-368)) (-4 *5 (-562)) - (-5 *2 - (-2 (|:| |minor| (-650 (-928))) (|:| -4308 *3) - (|:| |minors| (-650 (-650 (-928)))) (|:| |ops| (-650 *3)))) - (-5 *1 (-90 *5 *3)) (-5 *4 (-928)) (-4 *3 (-662 *5))))) + (-12 (-4 *4 (-354)) (-4 *5 (-333 *4)) (-4 *6 (-1253 *5)) + (-5 *2 (-650 *3)) (-5 *1 (-783 *4 *5 *6 *3 *7)) (-4 *3 (-1253 *6)) + (-14 *7 (-928))))) +(((*1 *2) + (-12 (-4 *4 (-174)) (-5 *2 (-112)) (-5 *1 (-371 *3 *4)) + (-4 *3 (-372 *4)))) + ((*1 *2) (-12 (-4 *1 (-372 *3)) (-4 *3 (-174)) (-5 *2 (-112))))) +(((*1 *2 *2 *3) + (-12 (-5 *2 (-115)) (-5 *3 (-650 (-1 *4 (-650 *4)))) (-4 *4 (-1109)) + (-5 *1 (-114 *4)))) + ((*1 *2 *2 *3) + (-12 (-5 *2 (-115)) (-5 *3 (-1 *4 *4)) (-4 *4 (-1109)) + (-5 *1 (-114 *4)))) + ((*1 *2 *3) + (|partial| -12 (-5 *3 (-115)) (-5 *2 (-650 (-1 *4 (-650 *4)))) + (-5 *1 (-114 *4)) (-4 *4 (-1109))))) (((*1 *2 *1 *3 *3) (-12 (-5 *3 (-777)) (-4 *1 (-746 *4 *5)) (-4 *4 (-1058)) (-4 *5 (-856)) (-5 *2 (-959 *4)))) @@ -6245,8 +5917,7 @@ ((*1 *2 *1 *3) (-12 (-5 *3 (-777)) (-4 *1 (-1268 *4)) (-4 *4 (-1058)) (-5 *2 (-959 *4))))) -(((*1 *2) (-12 (-5 *2 (-650 (-928))) (-5 *1 (-1280)))) - ((*1 *2 *2) (-12 (-5 *2 (-650 (-928))) (-5 *1 (-1280))))) +(((*1 *2) (-12 (-5 *2 (-650 (-1168))) (-5 *1 (-835))))) 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(-227)) (|:| |phi| (-227)) (|:| -1311 (-227)) + (|:| |scaleX| (-227)) (|:| |scaleY| (-227)) (|:| |scaleZ| (-227)) + (|:| |deltaX| (-227)) (|:| |deltaY| (-227)))) + (-5 *2 (-1282)) (-5 *1 (-1279)))) + ((*1 *2 *1) + (-12 + (-5 *2 + (-2 (|:| |theta| (-227)) (|:| |phi| (-227)) (|:| -1311 (-227)) + (|:| |scaleX| (-227)) (|:| |scaleY| (-227)) (|:| |scaleZ| (-227)) + (|:| |deltaX| (-227)) (|:| |deltaY| (-227)))) + (-5 *1 (-1279)))) + ((*1 *2 *1 *3 *3 *3 *3 *3) + (-12 (-5 *3 (-384)) (-5 *2 (-1282)) (-5 *1 (-1279))))) (((*1 *1 *1 *2) (-12 (-5 *2 (-928)) (-4 *1 (-333 *3)) (-4 *3 (-368)) (-4 *3 (-373)))) ((*1 *2 *1) (-12 (-4 *1 (-333 *2)) (-4 *2 (-368)))) @@ -7111,164 +7090,196 @@ ((*1 *2 *1) (-12 (-4 *1 (-1132 *3 *2 *4 *5)) (-4 *4 (-240 *3 *2)) (-4 *5 (-240 *3 *2)) (-4 *2 (-1058))))) -(((*1 *2 *2) (|partial| -12 (-4 *1 (-992 *2)) (-4 *2 (-1212))))) -(((*1 *2 *3 *4) - (-12 (-4 *5 (-368)) - (-5 *2 (-650 (-2 (|:| C (-695 *5)) (|:| |g| (-1277 *5))))) - (-5 *1 (-987 *5)) (-5 *3 (-695 *5)) (-5 *4 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- (|:| |endPointContinuity| - (-3 (|:| |continuous| "Continuous at the end points") - (|:| |lowerSingular| - "There is a singularity at the lower end point") - (|:| |upperSingular| - "There is a singularity at the upper end point") - (|:| |bothSingular| - "There are singularities at both end points") - (|:| |notEvaluated| - "End point continuity not yet evaluated"))) - (|:| |singularitiesStream| - (-3 (|:| |str| (-1166 (-227))) - (|:| |notEvaluated| - "Internal singularities not yet evaluated"))) - (|:| -1600 - (-3 (|:| |finite| "The range is finite") - (|:| |lowerInfinite| "The bottom of range is infinite") - (|:| |upperInfinite| "The top of range is infinite") - (|:| |bothInfinite| - "Both top and bottom points are infinite") - (|:| |notEvaluated| "Range not yet evaluated"))))) - (-5 *2 (-1044)) (-5 *1 (-309))))) -(((*1 *1 *1 *1) (-5 *1 (-868)))) -(((*1 *2 *3) - (-12 (-5 *3 (-115)) (-4 *4 (-562)) (-5 *2 (-112)) (-5 *1 (-32 *4 *5)) - (-4 *5 (-436 *4)))) + (-2 (|:| |particular| (-3 *4 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"Range not yet evaluated"))))) + (-5 *2 (-1044)) (-5 *1 (-309))))) +(((*1 *2 *3 *3 *3) + (-12 (-5 *3 (-777)) (-5 *2 (-1166 (-650 (-928)))) (-5 *1 (-890)))) + ((*1 *2 *3) + (-12 (-5 *3 (-777)) (-5 *2 (-1166 (-650 (-928)))) (-5 *1 (-890)))) + ((*1 *2 *3 *3) + (-12 (-5 *3 (-777)) (-5 *2 (-1166 (-650 (-928)))) (-5 *1 (-890)))) + ((*1 *2 *3) + (-12 (-5 *3 (-777)) (-5 *2 (-1166 (-980))) (-5 *1 (-980))))) (((*1 *2 *2 *3) (-12 (-4 *3 (-368)) (-5 *1 (-289 *3 *2)) (-4 *2 (-1268 *3))))) (((*1 *1 *1 *1) (-4 *1 (-21))) ((*1 *1 *1) (-4 *1 (-21))) @@ -7683,8 +7798,8 @@ (-12 (-5 *1 (-216 *2)) (-4 *2 (-13 (-856) - (-10 -8 (-15 -1942 ((-1168) $ (-1186))) (-15 -4150 ((-1282) $)) - (-15 -2353 ((-1282) $))))))) + (-10 -8 (-15 -1941 ((-1168) $ (-1186))) (-15 -4150 ((-1282) $)) + (-15 -3569 ((-1282) $))))))) ((*1 *1 *1 *2) (-12 (-5 *1 (-298 *2)) (-4 *2 (-21)) (-4 *2 (-1227)))) ((*1 *1 *2 *1) (-12 (-5 *1 (-298 *2)) (-4 *2 (-21)) (-4 *2 (-1227)))) ((*1 *1 *1 *1) @@ -7704,39 +7819,39 @@ ((*1 *2 *2 *2) (-12 (-5 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(-171 *5)) (-4 *5 (-13 (-436 *4) (-1011) (-1212))) + (-4 *4 (-562)) (-4 *2 (-13 (-436 (-171 *4)) (-1011) (-1212))) + (-5 *1 (-606 *4 *5 *2))))) (((*1 *2 *1) (-12 (-5 *2 (-650 (-2 (|:| |var| (-1186)) (|:| |fn| (-320 (-227))) - (|:| -1600 (-1103 (-849 (-227)))) (|:| |abserr| (-227)) + (|:| -1477 (-1103 (-849 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227))))) (-5 *1 (-565)))) ((*1 *2 *1) @@ -8761,49 +8795,57 @@ (|:| |intvals| (-650 (-227))) (|:| |g| (-320 (-227))) (|:| |abserr| (-227)) (|:| |relerr| (-227))))) (-5 *1 (-809))))) +(((*1 *2 *3 *3 *3 *3 *3 *3 *4 *4 *4 *3 *3 *5 *6 *3 *6 *6 *5 *6 *6 *6 *6 + *5 *3 *3 *3 *3 *3 *6 *6 *6 *3 *3 *3 *3 *3 *7 *4 *4 *4 *4 *3 *8 + *9) + (-12 (-5 *4 (-695 (-227))) (-5 *5 (-112)) (-5 *6 (-227)) + (-5 *7 (-695 (-570))) + (-5 *8 (-3 (|:| |fn| (-394)) (|:| |fp| (-80 CONFUN)))) + (-5 *9 (-3 (|:| |fn| (-394)) (|:| |fp| (-77 OBJFUN)))) + (-5 *3 (-570)) (-5 *2 (-1044)) (-5 *1 (-759))))) (((*1 *2 *3) - (-12 (-5 *3 (-1277 *1)) (-4 *1 (-375 *4 *5)) (-4 *4 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(-4 *6 (-415 *2 *5))))) (((*1 *2 *2) (-12 (-4 *3 (-562)) (-5 *1 (-279 *3 *2)) (-4 *2 (-13 (-436 *3) (-1011))))) @@ -8820,49 +8862,35 @@ ((*1 *2 *2) (-12 (-5 *2 (-1166 *3)) (-4 *3 (-38 (-413 (-570)))) (-5 *1 (-1172 *3))))) +(((*1 *1 *1 *2) + (-12 (-5 *2 (-650 (-52))) (-5 *1 (-899 *3)) (-4 *3 (-1109))))) +(((*1 *2) + (-12 (-5 *2 (-1282)) (-5 *1 (-1204 *3 *4)) (-4 *3 (-1109)) + (-4 *4 (-1109))))) +(((*1 *2 *2 *2) (-12 (-5 *2 (-570)) (-5 *1 (-486))))) +(((*1 *2) + (-12 (-4 *1 (-347 *3 *4 *5)) (-4 *3 (-1231)) (-4 *4 (-1253 *3)) + (-4 *5 (-1253 (-413 *4))) (-5 *2 (-112))))) +(((*1 *2 *1) (-12 (-5 *2 (-650 (-185 (-140)))) (-5 *1 (-141))))) (((*1 *2 *3) - (-12 (-4 *4 (-562)) (-4 *5 (-799)) (-4 *6 (-856)) - (-4 *7 (-1074 *4 *5 *6)) - (-5 *2 (-650 (-2 (|:| -4125 *1) (|:| -1765 (-650 *7))))) - (-5 *3 (-650 *7)) (-4 *1 (-1220 *4 *5 *6 *7))))) -(((*1 *2 *2) - (-12 (-4 *3 (-458)) (-5 *1 (-1218 *3 *2)) - (-4 *2 (-13 (-436 *3) (-1212)))))) -(((*1 *2 *2 *3) - (-12 (-4 *3 (-562)) (-4 *4 (-378 *3)) (-4 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(-5 *3 (-570)) (-5 *4 (-695 (-227))) (-5 *5 (-227)) - (-5 *6 (-3 (|:| |fn| (-394)) (|:| |fp| (-78 FUNCTN)))) - (-5 *2 (-1044)) (-5 *1 (-754))))) +(((*1 *2 *1) + (-12 (-5 *2 (-650 (-2 (|:| |k| (-678 *3)) (|:| |c| *4)))) + (-5 *1 (-633 *3 *4 *5)) (-4 *3 (-856)) + (-4 *4 (-13 (-174) (-723 (-413 (-570))))) (-14 *5 (-928))))) (((*1 *2 *1) (-12 (-4 *4 (-1109)) (-5 *2 (-896 *3 *5)) (-5 *1 (-892 *3 *4 *5)) (-4 *3 (-1109)) (-4 *5 (-672 *4))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-171 (-227))) (-5 *4 (-570)) (-5 *2 (-1044)) - (-5 *1 (-764))))) -(((*1 *2 *3 *3) (-12 (-5 *3 (-1168)) (-5 *2 (-384)) (-5 *1 (-97))))) +(((*1 *2 *1) (-12 (-5 *2 (-1282)) (-5 *1 (-828))))) +(((*1 *1 *2) (-12 (-5 *2 (-650 (-145))) (-5 *1 (-142)))) + ((*1 *1 *2) (-12 (-5 *2 (-1168)) (-5 *1 (-142))))) (((*1 *2 *2) (-12 (-4 *3 (-562)) (-5 *1 (-279 *3 *2)) (-4 *2 (-13 (-436 *3) (-1011))))) @@ -8882,23 +8910,91 @@ ((*1 *2 *2) (-12 (-5 *2 (-1166 *3)) (-4 *3 (-38 (-413 (-570)))) (-5 *1 (-1172 *3))))) -(((*1 *1 *2) (-12 (-5 *2 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*4 *3 *5) + (|partial| -12 (-5 *4 (-618 *3)) (-5 *5 (-413 (-1182 *3))) + (-4 *3 (-13 (-436 *6) (-27) (-1212))) + (-4 *6 (-13 (-458) (-1047 (-570)) (-148) (-645 (-570)))) + (-5 *2 (-2 (|:| -4087 *3) (|:| |coeff| *3))) + (-5 *1 (-566 *6 *3 *7)) (-4 *7 (-1109))))) +(((*1 *2 *2 *1 *3 *4) + (-12 (-5 *2 (-650 *8)) (-5 *3 (-1 *8 *8 *8)) + (-5 *4 (-1 (-112) *8 *8)) (-4 *1 (-1220 *5 *6 *7 *8)) (-4 *5 (-562)) + (-4 *6 (-799)) (-4 *7 (-856)) (-4 *8 (-1074 *5 *6 *7))))) +(((*1 *2 *2 *3) + (-12 (-5 *3 (-570)) (-5 *1 (-702 *2)) (-4 *2 (-1253 *3))))) +(((*1 *2) (-12 (-5 *2 (-570)) (-5 *1 (-933))))) +(((*1 *2 *3) (-12 (-5 *2 (-424 *3)) (-5 *1 (-564 *3)) (-4 *3 (-551))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-55)))) ((*1 *2 *1) - (-12 (-5 *2 (-650 (-678 *3))) (-5 *1 (-900 *3)) (-4 *3 (-856))))) + (-12 (-4 *3 (-368)) (-4 *4 (-799)) (-4 *5 (-856)) (-5 *2 (-112)) + (-5 *1 (-510 *3 *4 *5 *6)) (-4 *6 (-956 *3 *4 *5)))) + ((*1 *2 *1) (-12 (-4 *1 (-728)) (-5 *2 (-112)))) + ((*1 *2 *1) (-12 (-4 *1 (-732)) (-5 *2 (-112))))) +(((*1 *1 *2 *1) (-12 (-4 *1 (-107 *2)) (-4 *2 (-1227)))) + ((*1 *1 *2 *1) (-12 (-5 *1 (-122 *2)) (-4 *2 (-856)))) + ((*1 *1 *2 *1) (-12 (-5 *1 (-127 *2)) (-4 *2 (-856)))) + ((*1 *1 *1 *1 *2) + (-12 (-5 *2 (-570)) (-4 *1 (-286 *3)) (-4 *3 (-1227)))) + ((*1 *1 *2 *1 *3) + (-12 (-5 *3 (-570)) (-4 *1 (-286 *2)) (-4 *2 (-1227)))) + ((*1 *1 *2) + (-12 + (-5 *2 + (-2 + (|:| -2106 + (-2 (|:| |var| (-1186)) (|:| |fn| (-320 (-227))) + (|:| -1477 (-1103 (-849 (-227)))) (|:| |abserr| (-227)) + (|:| |relerr| (-227)))) + (|:| -2340 + (-2 + (|:| |endPointContinuity| + (-3 (|:| |continuous| "Continuous at the end points") + (|:| |lowerSingular| + "There is a singularity at the lower end point") + (|:| |upperSingular| + "There is a singularity at the upper end point") + (|:| |bothSingular| + "There are singularities at both end points") + (|:| |notEvaluated| + "End point continuity not yet evaluated"))) + (|:| |singularitiesStream| + (-3 (|:| |str| (-1166 (-227))) + (|:| |notEvaluated| + "Internal singularities not yet evaluated"))) + (|:| -1477 + (-3 (|:| |finite| "The range is finite") + (|:| |lowerInfinite| + "The bottom of range is infinite") + (|:| |upperInfinite| "The top of range is infinite") + (|:| |bothInfinite| + "Both top and bottom points are infinite") + (|:| |notEvaluated| "Range not yet evaluated"))))))) + (-5 *1 (-565)))) + ((*1 *1 *2 *1 *3) + (-12 (-5 *3 (-777)) (-4 *1 (-701 *2)) (-4 *2 (-1109)))) + ((*1 *1 *2) + (-12 + (-5 *2 + (-2 + (|:| -2106 + (-2 (|:| |xinit| (-227)) (|:| |xend| (-227)) + (|:| |fn| (-1277 (-320 (-227)))) (|:| |yinit| (-650 (-227))) + (|:| |intvals| (-650 (-227))) (|:| |g| (-320 (-227))) + (|:| |abserr| (-227)) (|:| |relerr| (-227)))) + (|:| -2340 + (-2 (|:| |stiffness| (-384)) (|:| |stability| (-384)) + (|:| |expense| (-384)) (|:| |accuracy| (-384)) + (|:| |intermediateResults| (-384)))))) + (-5 *1 (-809)))) + ((*1 *2 *3 *4) + (-12 (-5 *2 (-1282)) (-5 *1 (-1204 *3 *4)) (-4 *3 (-1109)) + (-4 *4 (-1109))))) (((*1 *1 *1) (-5 *1 (-1185))) ((*1 *1 *2) (-12 @@ -8906,11 +9002,12 @@ (-3 (|:| I (-320 (-570))) (|:| -1709 (-320 (-384))) (|:| CF (-320 (-171 (-384)))) (|:| |switch| (-1185)))) (-5 *1 (-1185))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-1 *6 *4 *5)) (-4 *4 (-1109)) (-4 *5 (-1109)) - (-4 *6 (-1109)) (-5 *2 (-1 *6 *5)) (-5 *1 (-690 *4 *5 *6))))) -(((*1 *2 *2) (|partial| -12 (-4 *1 (-992 *2)) (-4 *2 (-1212))))) -(((*1 *2 *2) (-12 (-5 *2 (-1103 (-849 (-227)))) (-5 *1 (-309))))) +(((*1 *2 *1) (-12 (-4 *1 (-373)) (-5 *2 (-928)))) + ((*1 *2 *3) + (-12 (-5 *3 (-1277 *4)) (-4 *4 (-354)) (-5 *2 (-928)) + (-5 *1 (-534 *4))))) +(((*1 *2 *3) + (-12 (-5 *3 (-320 (-227))) (-5 *2 (-320 (-384))) (-5 *1 (-309))))) (((*1 *2 *2) (-12 (-4 *3 (-562)) (-5 *1 (-279 *3 *2)) (-4 *2 (-13 (-436 *3) (-1011))))) @@ -8930,51 +9027,36 @@ ((*1 *2 *2) (-12 (-5 *2 (-1166 *3)) (-4 *3 (-38 (-413 (-570)))) (-5 *1 (-1172 *3))))) -(((*1 *2 *1 *3 *3 *4) - (-12 (-5 *3 (-1 (-868) (-868) (-868))) (-5 *4 (-570)) (-5 *2 (-868)) - (-5 *1 (-655 *5 *6 *7)) (-4 *5 (-1109)) (-4 *6 (-23)) (-14 *7 *6))) - ((*1 *2 *1 *2) - (-12 (-5 *2 (-868)) (-5 *1 (-860 *3 *4 *5)) (-4 *3 (-1058)) - (-14 *4 (-99 *3)) (-14 *5 (-1 *3 *3)))) - ((*1 *1 *2) (-12 (-5 *2 (-227)) (-5 *1 (-868)))) - ((*1 *1 *2) (-12 (-5 *2 (-1168)) (-5 *1 (-868)))) - ((*1 *1 *2) (-12 (-5 *2 (-1186)) (-5 *1 (-868)))) - ((*1 *1 *2) (-12 (-5 *2 (-570)) (-5 *1 (-868)))) - ((*1 *2 *1 *2) - (-12 (-5 *2 (-868)) (-5 *1 (-1182 *3)) (-4 *3 (-1058))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-695 (-413 (-570)))) (-5 *2 (-650 *4)) (-5 *1 (-785 *4)) - (-4 *4 (-13 (-368) (-854)))))) -(((*1 *2) - (-12 (-4 *4 (-174)) (-5 *2 (-112)) (-5 *1 (-371 *3 *4)) - (-4 *3 (-372 *4)))) - ((*1 *2) (-12 (-4 *1 (-372 *3)) (-4 *3 (-174)) (-5 *2 (-112))))) -(((*1 *2 *3) - (-12 (-5 *3 |RationalNumber|) (-5 *2 (-1 (-570))) (-5 *1 (-1056))))) -(((*1 *2 *2) (-12 (-5 *2 (-650 (-320 (-227)))) (-5 *1 (-270))))) -(((*1 *2) - (-12 (-4 *1 (-347 *3 *4 *5)) (-4 *3 (-1231)) (-4 *4 (-1253 *3)) - (-4 *5 (-1253 (-413 *4))) (-5 *2 (-695 (-413 *4)))))) -(((*1 *2 *3 *2) - (-12 (-5 *2 (-650 *1)) (-5 *3 (-650 *7)) (-4 *1 (-1080 *4 *5 *6 *7)) - (-4 *4 (-458)) (-4 *5 (-799)) (-4 *6 (-856)) - (-4 *7 (-1074 *4 *5 *6)))) - ((*1 *2 *3 *1) - (-12 (-5 *3 (-650 *7)) (-4 *7 (-1074 *4 *5 *6)) (-4 *4 (-458)) - (-4 *5 (-799)) (-4 *6 (-856)) (-5 *2 (-650 *1)) - (-4 *1 (-1080 *4 *5 *6 *7)))) - ((*1 *2 *3 *2) - (-12 (-5 *2 (-650 *1)) (-4 *1 (-1080 *4 *5 *6 *3)) (-4 *4 (-458)) - (-4 *5 (-799)) (-4 *6 (-856)) (-4 *3 (-1074 *4 *5 *6)))) - ((*1 *2 *3 *1) - (-12 (-4 *4 (-458)) (-4 *5 (-799)) (-4 *6 (-856)) - (-4 *3 (-1074 *4 *5 *6)) (-5 *2 (-650 *1)) - (-4 *1 (-1080 *4 *5 *6 *3))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-650 *6)) (-5 *4 (-650 (-1186))) (-4 *6 (-368)) - (-5 *2 (-650 (-298 (-959 *6)))) (-5 *1 (-544 *5 *6 *7)) - (-4 *5 (-458)) (-4 *7 (-13 (-368) (-854)))))) -(((*1 *2 *1) (-12 (-5 *2 (-1282)) (-5 *1 (-828))))) +(((*1 *2 *3) (-12 (-5 *2 (-650 (-570))) (-5 *1 (-567)) (-5 *3 (-570))))) +(((*1 *2 *1 *1) + (-12 (-4 *3 (-368)) (-4 *3 (-1058)) + (-5 *2 (-2 (|:| -1604 *1) (|:| -1743 *1))) (-4 *1 (-858 *3)))) + ((*1 *2 *3 *3 *4) + (-12 (-5 *4 (-99 *5)) (-4 *5 (-368)) (-4 *5 (-1058)) + (-5 *2 (-2 (|:| -1604 *3) (|:| -1743 *3))) (-5 *1 (-859 *5 *3)) + (-4 *3 (-858 *5))))) +(((*1 *2 *3 *3 *4 *3) + (-12 (-5 *3 (-570)) (-5 *4 (-695 (-227))) (-5 *2 (-1044)) + (-5 *1 (-753))))) +(((*1 *1 *1) + (-12 (-5 *1 (-1174 *2 *3)) (-14 *2 (-928)) (-4 *3 (-1058))))) +(((*1 *1 *2 *2 *3 *1) + (-12 (-5 *2 (-512)) (-5 *3 (-1113)) (-5 *1 (-295))))) +(((*1 *1 *1 *2) + (-12 (-4 *1 (-985 *3 *4 *2 *5)) (-4 *3 (-1058)) (-4 *4 (-799)) + (-4 *2 (-856)) (-4 *5 (-1074 *3 *4 *2))))) +(((*1 *2 *1 *1) + (-12 (-5 *2 (-413 (-959 *3))) (-5 *1 (-459 *3 *4 *5 *6)) + (-4 *3 (-562)) (-4 *3 (-174)) (-14 *4 (-928)) + (-14 *5 (-650 (-1186))) (-14 *6 (-1277 (-695 *3)))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-145))))) +(((*1 *1 *2 *3 *4) + (-12 (-5 *2 (-1 (-1135 *4 *3 *5))) (-4 *4 (-38 (-413 (-570)))) + (-4 *4 (-1058)) (-4 *3 (-856)) (-5 *1 (-1135 *4 *3 *5)) + (-4 *5 (-956 *4 (-537 *3) *3)))) + ((*1 *1 *2 *3 *4) + (-12 (-5 *2 (-1 (-1221 *4))) (-5 *3 (-1186)) (-5 *1 (-1221 *4)) + (-4 *4 (-38 (-413 (-570)))) (-4 *4 (-1058))))) (((*1 *2 *2) (-12 (-4 *3 (-562)) (-5 *1 (-279 *3 *2)) (-4 *2 (-13 (-436 *3) (-1011))))) @@ -8994,24 +9076,17 @@ ((*1 *2 *2) (-12 (-5 *2 (-1166 *3)) (-4 *3 (-38 (-413 (-570)))) (-5 *1 (-1172 *3))))) -(((*1 *2 *1 *2) (-12 (-5 *1 (-1035 *2)) (-4 *2 (-1227))))) (((*1 *2 *1) - (-12 (-4 *1 (-330 *3 *4)) (-4 *3 (-1058)) (-4 *4 (-798)) - (-5 *2 (-777)))) - ((*1 *2 *1) - (-12 (-4 *1 (-387 *3 *4)) (-4 *3 (-1058)) (-4 *4 (-1109)) - (-5 *2 (-777)))) - ((*1 *2 *1) - (-12 (-5 *2 (-777)) (-5 *1 (-741 *3 *4)) (-4 *3 (-1058)) - (-4 *4 (-732))))) -(((*1 *1 *2) (-12 (-5 *2 (-1168)) (-5 *1 (-497))))) + (-12 (-4 *1 (-1112 *3 *4 *5 *6 *7)) (-4 *3 (-1109)) (-4 *4 (-1109)) + (-4 *5 (-1109)) (-4 *6 (-1109)) (-4 *7 (-1109)) (-5 *2 (-112))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-899 *3)) (-4 *3 (-1109))))) (((*1 *2 *3) - (-12 (-5 *3 (-650 (-570))) (-5 *2 (-911 (-570))) (-5 *1 (-924)))) - ((*1 *2) (-12 (-5 *2 (-911 (-570))) (-5 *1 (-924))))) -(((*1 *2 *2) - (-12 (-5 *2 (-1277 *1)) (-4 *1 (-347 *3 *4 *5)) (-4 *3 (-1231)) - (-4 *4 (-1253 *3)) (-4 *5 (-1253 (-413 *4)))))) -(((*1 *2 *2) (-12 (-5 *2 (-384)) (-5 *1 (-97))))) + (-12 (-5 *3 (-1 *6 *4 *5)) (-4 *4 (-1109)) (-4 *5 (-1109)) + (-4 *6 (-1109)) (-5 *2 (-1 *6 *5 *4)) (-5 *1 (-690 *4 *5 *6))))) +(((*1 *2 *3) (-12 (-5 *3 (-1168)) (-5 *2 (-52)) (-5 *1 (-835))))) +(((*1 *2 *3 *3 *2) + (-12 (-5 *2 (-1044)) (-5 *3 (-1186)) (-5 *1 (-194))))) +(((*1 *2 *2) (-12 (-5 *2 (-650 *3)) (-4 *3 (-854)) (-5 *1 (-307 *3))))) (((*1 *2 *3 *2 *3) (-12 (-5 *2 (-443)) (-5 *3 (-1186)) (-5 *1 (-1189)))) ((*1 *2 *3 *2) (-12 (-5 *2 (-443)) (-5 *3 (-1186)) (-5 *1 (-1189)))) @@ -9024,19 +9099,21 @@ (-12 (-5 *2 (-443)) (-5 *3 (-1186)) (-5 *1 (-1190)))) ((*1 *2 *3 *2 *1) (-12 (-5 *2 (-443)) (-5 *3 (-650 (-1186))) (-5 *1 (-1190))))) -(((*1 *2 *1 *1) (-12 (-5 *2 (-112)) (-5 *1 (-501))))) -(((*1 *2 *3 *3 *4 *5) - (-12 (-5 *3 (-1168)) (-4 *6 (-458)) (-4 *7 (-799)) (-4 *8 (-856)) - (-4 *4 (-1074 *6 *7 *8)) (-5 *2 (-1282)) - (-5 *1 (-782 *6 *7 *8 *4 *5)) (-4 *5 (-1080 *6 *7 *8 *4))))) -(((*1 *2 *3 *3 *4) - (-12 (-5 *4 (-112)) (-4 *5 (-13 (-368) (-854))) - (-5 *2 (-650 (-2 (|:| -2638 (-650 *3)) (|:| -3673 *5)))) - (-5 *1 (-183 *5 *3)) (-4 *3 (-1253 (-171 *5))))) - ((*1 *2 *3 *3) - (-12 (-4 *4 (-13 (-368) (-854))) - (-5 *2 (-650 (-2 (|:| -2638 (-650 *3)) (|:| -3673 *4)))) - (-5 *1 (-183 *4 *3)) (-4 *3 (-1253 (-171 *4)))))) +(((*1 *2 *3 *3 *3 *4 *5 *5 *6) + (-12 (-5 *3 (-1 (-227) (-227) (-227))) + (-5 *4 (-3 (-1 (-227) (-227) (-227) (-227)) "undefined")) + (-5 *5 (-1103 (-227))) (-5 *6 (-650 (-266))) (-5 *2 (-1142 (-227))) + (-5 *1 (-703)))) + ((*1 *2 *3 *4 *4 *5) + (-12 (-5 *3 (-1 (-950 (-227)) (-227) (-227))) (-5 *4 (-1103 (-227))) + (-5 *5 (-650 (-266))) (-5 *2 (-1142 (-227))) (-5 *1 (-703)))) + ((*1 *2 *2 *3 *4 *4 *5) + (-12 (-5 *2 (-1142 (-227))) (-5 *3 (-1 (-950 (-227)) (-227) (-227))) + (-5 *4 (-1103 (-227))) (-5 *5 (-650 (-266))) (-5 *1 (-703))))) +(((*1 *2 *2 *3) + (-12 (-5 *3 (-1186)) (-4 *4 (-458)) (-4 *4 (-1109)) + (-5 *1 (-579 *4 *2)) (-4 *2 (-288)) (-4 *2 (-436 *4))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-145))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) (-12 (-4 *3 (-562)) (-5 *1 (-279 *3 *2)) @@ -9053,51 +9130,30 @@ ((*1 *2 *2) (-12 (-5 *2 (-1166 *3)) (-4 *3 (-38 (-413 (-570)))) (-5 *1 (-1172 *3))))) -(((*1 *2 *1) (-12 (-5 *2 (-828)) (-5 *1 (-827))))) -(((*1 *2 *3 *2) - (-12 (-5 *2 (-1166 *4)) (-4 *4 (-38 *3)) (-4 *4 (-1058)) - (-5 *3 (-413 (-570))) (-5 *1 (-1170 *4))))) -(((*1 *2 *3 *4 *4 *4 *4) - (-12 (-5 *3 (-695 (-227))) (-5 *4 (-570)) (-5 *2 (-1044)) - (-5 *1 (-761))))) -(((*1 *1 *1) (-12 (-4 *1 (-431 *2)) (-4 *2 (-1109)) (-4 *2 (-373))))) -(((*1 *2 *2) - (-12 (-4 *3 (-562)) (-5 *1 (-279 *3 *2)) - (-4 *2 (-13 (-436 *3) (-1011)))))) -(((*1 *2 *3 *4) - (-12 (-4 *5 (-311)) (-4 *6 (-378 *5)) (-4 *4 (-378 *5)) - (-5 *2 - (-2 (|:| |particular| (-3 *4 "failed")) (|:| -3827 (-650 *4)))) - (-5 *1 (-1133 *5 *6 *4 *3)) (-4 *3 (-693 *5 *6 *4))))) -(((*1 *2) - (-12 (-4 *4 (-174)) (-5 *2 (-777)) (-5 *1 (-166 *3 *4)) - (-4 *3 (-167 *4)))) - ((*1 *2) - (-12 (-14 *4 *2) (-4 *5 (-1227)) (-5 *2 (-777)) - (-5 *1 (-239 *3 *4 *5)) (-4 *3 (-240 *4 *5)))) - ((*1 *2) - (-12 (-4 *4 (-1109)) (-5 *2 (-777)) (-5 *1 (-435 *3 *4)) - (-4 *3 (-436 *4)))) - ((*1 *2) (-12 (-5 *2 (-777)) (-5 *1 (-550 *3)) (-4 *3 (-551)))) - ((*1 *2) (-12 (-4 *1 (-769)) (-5 *2 (-777)))) - ((*1 *2) - (-12 (-4 *4 (-174)) (-5 *2 (-777)) (-5 *1 (-802 *3 *4)) - (-4 *3 (-803 *4)))) - ((*1 *2) - (-12 (-4 *4 (-562)) (-5 *2 (-777)) (-5 *1 (-1000 *3 *4)) - (-4 *3 (-1001 *4)))) - ((*1 *2) - (-12 (-4 *4 (-174)) (-5 *2 (-777)) (-5 *1 (-1005 *3 *4)) - (-4 *3 (-1006 *4)))) - ((*1 *2) (-12 (-5 *2 (-777)) (-5 *1 (-1020 *3)) (-4 *3 (-1021)))) - ((*1 *2) (-12 (-4 *1 (-1058)) (-5 *2 (-777)))) - ((*1 *2) (-12 (-5 *2 (-777)) (-5 *1 (-1068 *3)) (-4 *3 (-1069))))) -(((*1 *2 *3) - (-12 (-5 *3 (-1182 *6)) (-4 *6 (-1058)) (-4 *4 (-799)) (-4 *5 (-856)) - (-5 *2 (-1182 *7)) (-5 *1 (-325 *4 *5 *6 *7)) - (-4 *7 (-956 *6 *4 *5))))) -(((*1 *1 *2 *3) (-12 (-5 *2 (-777)) (-5 *1 (-59 *3)) (-4 *3 (-1227)))) - ((*1 *1 *2) (-12 (-5 *2 (-650 *3)) (-4 *3 (-1227)) (-5 *1 (-59 *3))))) +(((*1 *1 *2) (-12 (-5 *2 (-650 *3)) (-4 *3 (-1109)) (-5 *1 (-912 *3))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-1208))))) +(((*1 *2 *3 *4 *3) + (|partial| -12 (-5 *4 (-1186)) + (-4 *5 (-13 (-562) (-1047 (-570)) (-148))) + (-5 *2 + (-2 (|:| -4087 (-413 (-959 *5))) (|:| |coeff| (-413 (-959 *5))))) + (-5 *1 (-576 *5)) (-5 *3 (-413 (-959 *5)))))) +(((*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-933))))) +(((*1 *2 *1) (-12 (-4 *1 (-533)) (-5 *2 (-697 (-552)))))) +(((*1 *2 *1) (|partial| -12 (-5 *2 (-512)) (-5 *1 (-283)))) + ((*1 *2 *1) + (-12 (-5 *2 (-3 (-570) (-227) (-512) (-1168) (-1191))) + (-5 *1 (-1191))))) +(((*1 *2 *1) + (-12 (-4 *1 (-369 *3 *4)) (-4 *3 (-1109)) (-4 *4 (-1109)) + (-5 *2 (-1168))))) +(((*1 *2 *3 *3) + (-12 (-4 *3 (-1231)) (-4 *5 (-1253 *3)) (-4 *6 (-1253 (-413 *5))) + (-5 *2 (-112)) (-5 *1 (-346 *4 *3 *5 *6)) (-4 *4 (-347 *3 *5 *6)))) + ((*1 *2 *3 *3) + (-12 (-4 *1 (-347 *3 *4 *5)) (-4 *3 (-1231)) (-4 *4 (-1253 *3)) + (-4 *5 (-1253 (-413 *4))) (-5 *2 (-112))))) +(((*1 *2 *1) (-12 (-5 *2 (-227)) (-5 *1 (-828))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) (-12 (-4 *3 (-562)) (-5 *1 (-279 *3 *2)) @@ -9114,43 +9170,32 @@ ((*1 *2 *2) (-12 (-5 *2 (-1166 *3)) (-4 *3 (-38 (-413 (-570)))) (-5 *1 (-1172 *3))))) -(((*1 *2 *3 *4 *4) - (-12 (-5 *3 (-650 *5)) (-5 *4 (-570)) (-4 *5 (-854)) (-4 *5 (-368)) - (-5 *2 (-777)) (-5 *1 (-952 *5 *6)) (-4 *6 (-1253 *5))))) -(((*1 *1 *2) - (-12 (-5 *2 (-650 *1)) (-4 *1 (-1143 *3)) (-4 *3 (-1058)))) - ((*1 *2 *2 *1) - (|partial| -12 (-5 *2 (-413 *1)) (-4 *1 (-1253 *3)) (-4 *3 (-1058)) - (-4 *3 (-562)))) - ((*1 *1 *1 *1) - (|partial| -12 (-4 *1 (-1253 *2)) (-4 *2 (-1058)) (-4 *2 (-562))))) -(((*1 *2 *3 *3 *4) - (-12 (-4 *5 (-458)) (-4 *6 (-799)) (-4 *7 (-856)) - (-4 *3 (-1074 *5 *6 *7)) - (-5 *2 (-650 (-2 (|:| |val| *3) (|:| -3687 *4)))) - (-5 *1 (-1117 *5 *6 *7 *3 *4)) (-4 *4 (-1080 *5 *6 *7 *3))))) (((*1 *2 *2 *2) - (|partial| -12 (-4 *3 (-368)) (-5 *1 (-903 *2 *3)) - (-4 *2 (-1253 *3))))) -(((*1 *2) - (-12 (-4 *1 (-347 *3 *4 *5)) (-4 *3 (-1231)) (-4 *4 (-1253 *3)) - (-4 *5 (-1253 (-413 *4))) (-5 *2 (-695 (-413 *4)))))) -(((*1 *2 *3 *4) - (-12 (-5 *4 (-1 *6 *6)) (-4 *6 (-1253 *5)) (-4 *5 (-368)) - (-5 *2 - (-2 (|:| |ir| (-592 (-413 *6))) (|:| |specpart| (-413 *6)) - (|:| |polypart| *6))) - (-5 *1 (-580 *5 *6)) (-5 *3 (-413 *6))))) -(((*1 *2 *3 *4) - (-12 (-5 *4 (-650 *3)) (-4 *3 (-956 *5 *6 *7)) (-4 *5 (-458)) - (-4 *6 (-799)) (-4 *7 (-856)) - (-5 *2 (-2 (|:| |poly| *3) (|:| |mult| *5))) - (-5 *1 (-455 *5 *6 *7 *3))))) + (-12 (-5 *2 (-650 *3)) (-4 *3 (-856)) (-5 *1 (-745 *3))))) (((*1 *2 *3) - (-12 (-4 *4 (-562)) (-5 *2 (-777)) (-5 *1 (-43 *4 *3)) - (-4 *3 (-423 *4))))) -(((*1 *1 *2) (-12 (-5 *2 (-1168)) (-5 *1 (-867)))) - ((*1 *1 *2) (-12 (-5 *2 (-394)) (-5 *1 (-867))))) + (-12 (-5 *3 (-1250 *5 *4)) (-4 *4 (-826)) (-14 *5 (-1186)) + (-5 *2 (-570)) (-5 *1 (-1123 *4 *5))))) +(((*1 *2 *1) (-12 (-4 *1 (-257 *2)) (-4 *2 (-1227))))) +(((*1 *2) + (-12 (-4 *3 (-562)) (-5 *2 (-650 *4)) (-5 *1 (-43 *3 *4)) + (-4 *4 (-423 *3))))) +(((*1 *2) + (-12 (-4 *3 (-562)) (-5 *2 (-650 *4)) (-5 *1 (-43 *3 *4)) + (-4 *4 (-423 *3))))) +(((*1 *1 *1 *1) (-12 (-4 *1 (-391 *2)) (-4 *2 (-1109))))) +(((*1 *2 *3 *3 *3 *4) + (-12 (-5 *3 (-227)) (-5 *4 (-570)) (-5 *2 (-1044)) (-5 *1 (-764))))) +(((*1 *1 *1) + (|partial| -12 (-4 *1 (-372 *2)) (-4 *2 (-174)) (-4 *2 (-562)))) + ((*1 *1 *1) (|partial| -4 *1 (-728)))) +(((*1 *2 *2 *2) + (-12 (-5 *2 (-695 *3)) + (-4 *3 (-13 (-311) (-10 -8 (-15 -3200 ((-424 $) $))))) + (-4 *4 (-1253 *3)) (-5 *1 (-505 *3 *4 *5)) (-4 *5 (-415 *3 *4)))) + ((*1 *2 *2 *2 *3) + (-12 (-5 *2 (-695 *3)) + (-4 *3 (-13 (-311) (-10 -8 (-15 -3200 ((-424 $) $))))) + (-4 *4 (-1253 *3)) (-5 *1 (-505 *3 *4 *5)) (-4 *5 (-415 *3 *4))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) (-12 (-4 *3 (-562)) (-5 *1 (-279 *3 *2)) @@ -9167,29 +9212,54 @@ ((*1 *2 *2) (-12 (-5 *2 (-1166 *3)) (-4 *3 (-38 (-413 (-570)))) (-5 *1 (-1172 *3))))) -(((*1 *2) (-12 (-5 *2 (-1168)) (-5 *1 (-1196))))) -(((*1 *2 *3 *3) - (-12 (-4 *4 (-368)) (-5 *2 (-650 *3)) (-5 *1 (-952 *4 *3)) - (-4 *3 (-1253 *4))))) -(((*1 *1 *2) (-12 (-5 *2 (-650 (-868))) (-5 *1 (-868))))) -(((*1 *2 *3 *4 *3) - (-12 (-5 *3 (-570)) (-5 *4 (-695 (-227))) (-5 *2 (-1044)) - (-5 *1 (-753))))) -(((*1 *2 *3) - (|partial| -12 (-4 *4 (-1231)) (-4 *5 (-1253 *4)) - (-5 *2 (-2 (|:| |radicand| (-413 *5)) (|:| |deg| (-777)))) - (-5 *1 (-149 *4 *5 *3)) (-4 *3 (-1253 (-413 *5)))))) (((*1 *2 *2 *3) - (|partial| -12 (-5 *3 (-1 *6 *6)) (-4 *6 (-1253 *5)) - (-4 *5 (-13 (-27) (-436 *4))) (-4 *4 (-13 (-562) (-1047 (-570)))) - (-4 *7 (-1253 (-413 *6))) (-5 *1 (-558 *4 *5 *6 *7 *2)) - (-4 *2 (-347 *5 *6 *7))))) + (-12 + (-5 *2 + (-2 (|:| |partsol| (-1277 (-413 (-959 *4)))) + (|:| -2832 (-650 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(-1011))))) @@ -9453,39 +9572,18 @@ (-12 (-5 *2 (-1166 *3)) (-4 *3 (-38 (-413 (-570)))) (-5 *1 (-1172 *3)))) ((*1 *1 *1) (-4 *1 (-1215)))) -(((*1 *2 *2 *3) - (-12 (-5 *3 (-618 *2)) (-4 *2 (-13 (-27) (-1212) (-436 *4))) - (-4 *4 (-13 (-562) (-1047 (-570)) (-645 (-570)))) - (-5 *1 (-280 *4 *2))))) -(((*1 *2 *3) - (-12 (-4 *4 (-311)) (-4 *5 (-378 *4)) (-4 *6 (-378 *4)) - (-5 *2 (-2 (|:| |Hermite| *3) (|:| |eqMat| *3))) - (-5 *1 (-1133 *4 *5 *6 *3)) (-4 *3 (-693 *4 *5 *6))))) -(((*1 *2 *2) - (-12 (-4 *3 (-13 (-458) (-1047 (-570)))) (-4 *3 (-562)) - (-5 *1 (-41 *3 *2)) (-4 *2 (-436 *3)) - (-4 *2 - (-13 (-368) (-306) - (-10 -8 (-15 -4402 ((-1134 *3 (-618 $)) $)) - (-15 -4416 ((-1134 *3 (-618 $)) $)) - (-15 -3802 ($ (-1134 *3 (-618 $)))))))))) -(((*1 *2 *3 *4 *2) - (-12 (-5 *2 (-650 (-650 (-650 *5)))) (-5 *3 (-1 (-112) *5 *5)) - (-5 *4 (-650 *5)) (-4 *5 (-856)) (-5 *1 (-1197 *5))))) -(((*1 *2 *3 *3) - (-12 (-4 *4 (-458)) (-4 *5 (-799)) (-4 *6 (-856)) - (-4 *7 (-1074 *4 *5 *6)) (-5 *2 (-112)) - (-5 *1 (-997 *4 *5 *6 *7 *3)) (-4 *3 (-1080 *4 *5 *6 *7)))) - ((*1 *2 *3 *3) - (-12 (-4 *4 (-458)) (-4 *5 (-799)) (-4 *6 (-856)) - (-4 *7 (-1074 *4 *5 *6)) (-5 *2 (-112)) - (-5 *1 (-1116 *4 *5 *6 *7 *3)) (-4 *3 (-1080 *4 *5 *6 *7))))) -(((*1 *2 *1 *2) - (-12 (-4 *1 (-369 *3 *2)) (-4 *3 (-1109)) (-4 *2 (-1109))))) -(((*1 *2 *3 *1) - (|partial| -12 (-5 *3 (-1 (-112) *2)) (-4 *1 (-152 *2)) - (-4 *2 (-1227))))) -(((*1 *1 *1) (-4 *1 (-875 *2)))) +(((*1 *2 *3 *3 *3 *3 *3 *4 *4 *3) + (-12 (-5 *3 (-570)) (-5 *4 (-695 (-227))) (-5 *2 (-1044)) + (-5 *1 (-761))))) +(((*1 *1) (-5 *1 (-1279)))) +(((*1 *2 *2 *2 *2) + (-12 (-5 *2 (-413 (-1182 (-320 *3)))) (-4 *3 (-562)) + (-5 *1 (-1139 *3))))) +(((*1 *2 *3) (-12 (-5 *3 (-828)) (-5 *2 (-52)) (-5 *1 (-835))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-830))))) +(((*1 *2 *2 *1) + (-12 (-4 *1 (-1220 *3 *4 *5 *2)) (-4 *3 (-562)) (-4 *4 (-799)) + (-4 *5 (-856)) (-4 *2 (-1074 *3 *4 *5))))) (((*1 *2 *2) (-12 (-4 *3 (-562)) (-5 *1 (-279 *3 *2)) (-4 *2 (-13 (-436 *3) (-1011))))) @@ -9502,49 +9600,69 @@ (-12 (-5 *2 (-1166 *3)) (-4 *3 (-38 (-413 (-570)))) (-5 *1 (-1172 *3)))) ((*1 *1 *1) (-4 *1 (-1215)))) -(((*1 *2 *1) (-12 (-5 *2 (-570)) (-5 *1 (-868))))) -(((*1 *1 *1 *2) - (-12 (-5 *2 (-1 *4 *4)) (-4 *4 (-654 *3)) (-4 *3 (-1058)) - (-5 *1 (-720 *3 *4)))) - ((*1 *1 *1 *2) - (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1058)) (-5 *1 (-842 *3))))) -(((*1 *2 *3) (-12 (-5 *3 (-384)) (-5 *2 (-227)) (-5 *1 (-1280)))) - ((*1 *2) (-12 (-5 *2 (-227)) (-5 *1 (-1280))))) -(((*1 *1 *1 *1) (-5 *1 (-163))) - ((*1 *1 *2) (-12 (-5 *2 (-570)) (-5 *1 (-163))))) -(((*1 *2 *3 *4 *5) - (-12 (-5 *3 (-695 *6)) (-5 *5 (-1 (-424 (-1182 *6)) (-1182 *6))) - (-4 *6 (-368)) - (-5 *2 - (-650 - (-2 (|:| |outval| *7) (|:| |outmult| (-570)) - (|:| |outvect| (-650 (-695 *7)))))) - (-5 *1 (-538 *6 *7 *4)) (-4 *7 (-368)) (-4 *4 (-13 (-368) (-854)))))) -(((*1 *2 *3 *1) (-12 (-5 *3 (-1186)) (-5 *2 (-1190)) (-5 *1 (-1189))))) -(((*1 *2 *3) - (-12 (-5 *2 (-1 (-950 *3) (-950 *3))) (-5 *1 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((*1 *2 *1 *2) (-12 (-5 *2 (-650 (-1168))) (-5 *1 (-1207))))) +(((*1 *1 *1 *1 *1 *1) + (-12 (-4 *1 (-1074 *2 *3 *4)) (-4 *2 (-1058)) (-4 *3 (-799)) + (-4 *4 (-856)) (-4 *2 (-562))))) +(((*1 *2 *1) (-12 (-4 *1 (-1143 *3)) (-4 *3 (-1058)) (-5 *2 (-777))))) (((*1 *2 *2) (-12 (-4 *3 (-562)) (-5 *1 (-279 *3 *2)) (-4 *2 (-13 (-436 *3) (-1011))))) @@ -9564,74 +9682,48 @@ (-12 (-5 *2 (-1166 *3)) (-4 *3 (-38 (-413 (-570)))) (-5 *1 (-1172 *3)))) ((*1 *1 *1) (-4 *1 (-1215)))) -(((*1 *1 *1) (-4 *1 (-635))) - ((*1 *2 *2) - (-12 (-4 *3 (-562)) (-5 *1 (-636 *3 *2)) - (-4 *2 (-13 (-436 *3) (-1011) (-1212)))))) -(((*1 *2 *3) - (-12 (-4 *4 (-13 (-562) (-1047 (-570)))) (-5 *2 (-413 (-570))) - (-5 *1 (-439 *4 *3)) (-4 *3 (-436 *4)))) - ((*1 *2 *3 *4) - (-12 (-5 *4 (-618 *3)) (-4 *3 (-436 *5)) - (-4 *5 (-13 (-562) (-1047 (-570)))) (-5 *2 (-1182 (-413 (-570)))) - (-5 *1 (-439 *5 *3))))) -(((*1 *2 *1) - (-12 (-5 *2 (-413 (-959 *3))) (-5 *1 (-459 *3 *4 *5 *6)) - (-4 *3 (-562)) (-4 *3 (-174)) (-14 *4 (-928)) - 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*8)) + (-5 *2 + (-2 (|:| |done| (-650 *4)) + (|:| |todo| (-650 (-2 (|:| |val| (-650 *3)) (|:| -3684 *4)))))) + (-5 *1 (-1078 *6 *7 *8 *3 *4)) (-4 *4 (-1080 *6 *7 *8 *3)))) + ((*1 *2 *3 *4) + (-12 (-4 *5 (-458)) (-4 *6 (-799)) (-4 *7 (-856)) + (-4 *3 (-1074 *5 *6 *7)) + (-5 *2 + (-2 (|:| |done| (-650 *4)) + (|:| |todo| (-650 (-2 (|:| |val| (-650 *3)) (|:| -3684 *4)))))) + (-5 *1 (-1078 *5 *6 *7 *3 *4)) (-4 *4 (-1080 *5 *6 *7 *3)))) + ((*1 *2 *3 *4 *5) + (-12 (-5 *5 (-777)) (-4 *6 (-458)) (-4 *7 (-799)) (-4 *8 (-856)) + (-4 *3 (-1074 *6 *7 *8)) + (-5 *2 + (-2 (|:| |done| (-650 *4)) + (|:| |todo| (-650 (-2 (|:| |val| (-650 *3)) (|:| -3684 *4)))))) + (-5 *1 (-1154 *6 *7 *8 *3 *4)) (-4 *4 (-1118 *6 *7 *8 *3)))) + ((*1 *2 *3 *4) + (-12 (-4 *5 (-458)) (-4 *6 (-799)) (-4 *7 (-856)) + (-4 *3 (-1074 *5 *6 *7)) + (-5 *2 + (-2 (|:| |done| (-650 *4)) + (|:| |todo| (-650 (-2 (|:| |val| (-650 *3)) (|:| -3684 *4)))))) + (-5 *1 (-1154 *5 *6 *7 *3 *4)) (-4 *4 (-1118 *5 *6 *7 *3))))) (((*1 *2 *2) (-12 (-4 *3 (-562)) (-5 *1 (-279 *3 *2)) (-4 *2 (-13 (-436 *3) (-1011))))) @@ -9652,26 +9744,35 @@ (-12 (-5 *2 (-1166 *3)) (-4 *3 (-38 (-413 (-570)))) (-5 *1 (-1172 *3)))) ((*1 *1 *1) (-4 *1 (-1215)))) -(((*1 *2 *2) (|partial| -12 (-4 *1 (-992 *2)) (-4 *2 (-1212))))) -(((*1 *2 *1) (-12 (-5 *2 (-650 (-1186))) (-5 *1 (-831))))) -(((*1 *2 *3) - (-12 (-5 *3 (-659 (-413 *2))) (-4 *2 (-1253 *4)) (-5 *1 (-816 *4 *2)) - (-4 *4 (-13 (-368) (-148) (-1047 (-570)) (-1047 (-413 (-570))))))) - ((*1 *2 *3) - (-12 (-5 *3 (-660 *2 (-413 *2))) (-4 *2 (-1253 *4)) - (-5 *1 (-816 *4 *2)) - (-4 *4 (-13 (-368) (-148) (-1047 (-570)) (-1047 (-413 (-570)))))))) -(((*1 *2 *1) (-12 (-4 *1 (-1296 *3)) (-4 *3 (-368)) (-5 *2 (-112))))) +(((*1 *1) (-5 *1 (-809)))) +(((*1 *2 *3 *4 *4 *5 *3 *3) + (-12 (-5 *3 (-570)) (-5 *4 (-695 (-227))) (-5 *5 (-227)) + (-5 *2 (-1044)) (-5 *1 (-758))))) +(((*1 *2 *2 *3) + (-12 (-5 *3 (-650 (-1186))) (-4 *4 (-1109)) + (-4 *5 (-13 (-1058) (-893 *4) (-620 (-899 *4)))) + (-5 *1 (-54 *4 *5 *2)) 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(-5 *2 + (-2 (|:| -1943 (-384)) (|:| -3599 (-1168)) + (|:| |explanations| (-650 (-1168))))) + (-5 *1 (-904))))) +(((*1 *1) (-5 *1 (-584))) + ((*1 *2 *3) (-12 (-5 *3 (-1168)) (-5 *2 (-1282)) (-5 *1 (-869)))) + ((*1 *2 *3) (-12 (-5 *3 (-868)) (-5 *2 (-1282)) (-5 *1 (-869)))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-1168)) (-5 *4 (-868)) (-5 *2 (-1282)) (-5 *1 (-869)))) + ((*1 *2 *3 *1) + (-12 (-5 *3 (-570)) (-5 *2 (-1282)) (-5 *1 (-1166 *4)) + (-4 *4 (-1109)) (-4 *4 (-1227))))) (((*1 *2 *1 *3 *3 *2) (-12 (-5 *3 (-570)) (-4 *1 (-57 *2 *4 *5)) (-4 *2 (-1227)) (-4 *4 (-378 *2)) (-4 *5 (-378 *2)))) @@ -13587,14 +13453,14 @@ (-12 (-5 *3 (-1186)) (-5 *2 (-247 (-1168))) (-5 *1 (-216 *4)) (-4 *4 (-13 (-856) - (-10 -8 (-15 -1942 ((-1168) $ *3)) (-15 -4150 ((-1282) $)) - (-15 -2353 ((-1282) $))))))) + (-10 -8 (-15 -1941 ((-1168) $ *3)) (-15 -4150 ((-1282) $)) + (-15 -3569 ((-1282) $))))))) ((*1 *1 *1 *2) (-12 (-5 *2 (-998)) (-5 *1 (-216 *3)) (-4 *3 (-13 (-856) - (-10 -8 (-15 -1942 ((-1168) $ (-1186))) (-15 -4150 ((-1282) $)) - (-15 -2353 ((-1282) $))))))) + (-10 -8 (-15 -1941 ((-1168) $ (-1186))) (-15 -4150 ((-1282) $)) + (-15 -3569 ((-1282) $))))))) ((*1 *2 *1 *3) (-12 (-5 *3 "count") (-5 *2 (-777)) (-5 *1 (-247 *4)) (-4 *4 (-856)))) ((*1 *1 *1 *2) (-12 (-5 *2 "sort") (-5 *1 (-247 *3)) (-4 *3 (-856)))) @@ -13681,22 +13547,10 @@ (-12 (-5 *2 "rest") (-4 *1 (-1265 *3)) (-4 *3 (-1227)))) ((*1 *2 *1 *3) (-12 (-5 *3 "first") (-4 *1 (-1265 *2)) (-4 *2 (-1227))))) -(((*1 *1 *1) (-5 *1 (-227))) - ((*1 *2 *2) (-12 (-5 *2 (-227)) (-5 *1 (-228)))) - ((*1 *2 *2) (-12 (-5 *2 (-171 (-227))) (-5 *1 (-228)))) - ((*1 *2 *2) - (-12 (-4 *3 (-562)) (-5 *1 (-437 *3 *2)) (-4 *2 (-436 *3)))) - ((*1 *2 *2 *2) - (-12 (-4 *3 (-562)) (-5 *1 (-437 *3 *2)) (-4 *2 (-436 *3)))) - ((*1 *1 *1) (-4 *1 (-1148))) ((*1 *1 *1 *1) (-4 *1 (-1148)))) -(((*1 *1) (-5 *1 (-584))) - ((*1 *2 *3) (-12 (-5 *3 (-1168)) (-5 *2 (-1282)) (-5 *1 (-869)))) - ((*1 *2 *3) (-12 (-5 *3 (-868)) (-5 *2 (-1282)) (-5 *1 (-869)))) - ((*1 *2 *3 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*1) (-12 (-4 *1 (-1004 *2)) (-4 *2 (-1227))))) +(((*1 *1 *1 *2) + (-12 (-5 *2 (-777)) (-4 *1 (-1253 *3)) (-4 *3 (-1058)))) + ((*1 *1 *1 *2) + (-12 (-5 *2 (-928)) (-4 *1 (-1255 *3 *4)) (-4 *3 (-1058)) + (-4 *4 (-798)))) + ((*1 *1 *1 *2) + (-12 (-5 *2 (-413 (-570))) (-4 *1 (-1258 *3)) (-4 *3 (-1058))))) +(((*1 *1 *1 *2) + (-12 (-5 *1 (-1149 *2 *3)) (-4 *2 (-13 (-1109) (-34))) + (-4 *3 (-13 (-1109) (-34)))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-227)) (-5 *4 (-570)) (-5 *2 (-1044)) (-5 *1 (-764))))) +(((*1 *1 *2 *3) (-12 (-5 *2 (-512)) (-5 *3 (-603)) (-5 *1 (-591))))) +(((*1 *2 *1 *2) (-12 (-5 *1 (-1035 *2)) (-4 *2 (-1227))))) (((*1 *2 *3) (-12 (-5 *3 (-1186)) (-4 *4 (-13 (-458) (-1047 (-570)) (-645 (-570)))) (-5 *2 (-52)) @@ -14215,14 +14043,13 @@ ((*1 *1 *2 *3) (-12 (-5 *2 (-413 (-570))) (-4 *4 (-1058)) (-4 *1 (-1260 *4 *3)) (-4 *3 (-1237 *4))))) -(((*1 *2) (-12 (-5 *2 (-880)) (-5 *1 (-1280)))) - ((*1 *2 *2) (-12 (-5 *2 (-880)) (-5 *1 (-1280))))) +(((*1 *2 *1) (-12 (-5 *1 (-1222 *2)) (-4 *2 (-983))))) (((*1 *2 *1 *3) - (-12 (-5 *3 (|[\|\|]| -3109)) (-5 *2 (-112)) (-5 *1 (-623)))) + (-12 (-5 *3 (|[\|\|]| -3106)) (-5 *2 (-112)) (-5 *1 (-623)))) ((*1 *2 *1 *3) - (-12 (-5 *3 (|[\|\|]| -1664)) (-5 *2 (-112)) (-5 *1 (-623)))) + (-12 (-5 *3 (|[\|\|]| -1663)) (-5 *2 (-112)) (-5 *1 (-623)))) ((*1 *2 *1 *3) - (-12 (-5 *3 (|[\|\|]| -1953)) (-5 *2 (-112)) (-5 *1 (-623)))) + (-12 (-5 *3 (|[\|\|]| -1954)) (-5 *2 (-112)) (-5 *1 (-623)))) ((*1 *2 *1 *3) (-12 (-5 *3 (|[\|\|]| -1624)) (-5 *2 (-112)) (-5 *1 (-697 *4)) (-4 *4 (-619 (-868))))) @@ -14307,108 +14134,37 @@ (-12 (-5 *3 (|[\|\|]| (-227))) (-5 *2 (-112)) (-5 *1 (-1191)))) ((*1 *2 *1 *3) (-12 (-5 *3 (|[\|\|]| (-570))) (-5 *2 (-112)) (-5 *1 (-1191))))) -(((*1 *2 *1) - (-12 (-4 *1 (-1074 *3 *4 *5)) (-4 *3 (-1058)) (-4 *4 (-799)) - (-4 *5 (-856)) (-5 *2 (-112))))) -(((*1 *2 *3 *3 *4) - (-12 (-4 *5 (-458)) (-4 *6 (-799)) (-4 *7 (-856)) - (-4 *3 (-1074 *5 *6 *7)) - (-5 *2 (-650 (-2 (|:| |val| (-650 *3)) (|:| -3687 *4)))) - (-5 *1 (-1081 *5 *6 *7 *3 *4)) (-4 *4 (-1080 *5 *6 *7 *3))))) -(((*1 *2 *3 *4 *5 *6) - (-12 (-5 *5 (-777)) (-5 *6 (-112)) (-4 *7 (-458)) (-4 *8 (-799)) - (-4 *9 (-856)) (-4 *3 (-1074 *7 *8 *9)) - (-5 *2 - (-2 (|:| |done| (-650 *4)) - (|:| |todo| (-650 (-2 (|:| |val| (-650 *3)) (|:| -3687 *4)))))) - (-5 *1 (-1078 *7 *8 *9 *3 *4)) (-4 *4 (-1080 *7 *8 *9 *3)))) - ((*1 *2 *3 *4 *5) - (-12 (-5 *5 (-777)) (-4 *6 (-458)) (-4 *7 (-799)) (-4 *8 (-856)) - (-4 *3 (-1074 *6 *7 *8)) - (-5 *2 - (-2 (|:| |done| (-650 *4)) - (|:| |todo| (-650 (-2 (|:| |val| (-650 *3)) (|:| -3687 *4)))))) - (-5 *1 (-1078 *6 *7 *8 *3 *4)) (-4 *4 (-1080 *6 *7 *8 *3)))) - ((*1 *2 *3 *4) - (-12 (-4 *5 (-458)) (-4 *6 (-799)) (-4 *7 (-856)) - (-4 *3 (-1074 *5 *6 *7)) - (-5 *2 - (-2 (|:| |done| (-650 *4)) - (|:| |todo| (-650 (-2 (|:| |val| (-650 *3)) (|:| -3687 *4)))))) - (-5 *1 (-1078 *5 *6 *7 *3 *4)) (-4 *4 (-1080 *5 *6 *7 *3)))) - ((*1 *2 *3 *4 *5 *6) - (-12 (-5 *5 (-777)) (-5 *6 (-112)) (-4 *7 (-458)) (-4 *8 (-799)) - (-4 *9 (-856)) (-4 *3 (-1074 *7 *8 *9)) - (-5 *2 - (-2 (|:| |done| (-650 *4)) - (|:| |todo| (-650 (-2 (|:| |val| (-650 *3)) (|:| -3687 *4)))))) - (-5 *1 (-1154 *7 *8 *9 *3 *4)) (-4 *4 (-1118 *7 *8 *9 *3)))) - ((*1 *2 *3 *4 *5) - (-12 (-5 *5 (-777)) (-4 *6 (-458)) (-4 *7 (-799)) (-4 *8 (-856)) - (-4 *3 (-1074 *6 *7 *8)) - (-5 *2 - (-2 (|:| |done| (-650 *4)) - (|:| |todo| (-650 (-2 (|:| |val| (-650 *3)) (|:| -3687 *4)))))) - (-5 *1 (-1154 *6 *7 *8 *3 *4)) (-4 *4 (-1118 *6 *7 *8 *3)))) - ((*1 *2 *3 *4) - (-12 (-4 *5 (-458)) (-4 *6 (-799)) (-4 *7 (-856)) - (-4 *3 (-1074 *5 *6 *7)) - (-5 *2 - (-2 (|:| |done| (-650 *4)) - (|:| |todo| (-650 (-2 (|:| |val| (-650 *3)) (|:| -3687 *4)))))) - (-5 *1 (-1154 *5 *6 *7 *3 *4)) (-4 *4 (-1118 *5 *6 *7 *3))))) (((*1 *1 *2) (-12 (-5 *2 (-1168)) (-5 *1 (-868))))) -(((*1 *2 *2 *3 *3) - (-12 (-5 *3 (-570)) (-4 *4 (-13 (-562) (-148))) (-5 *1 (-543 *4 *2)) - (-4 *2 (-1268 *4)))) - ((*1 *2 *2 *3 *3) - (-12 (-5 *3 (-570)) (-4 *4 (-13 (-368) (-373) (-620 *3))) - (-4 *5 (-1253 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(-12 (-5 *2 (-1168)) (-5 *1 (-765))))) +(((*1 *2 *3 *3 *3 *4) + (-12 (-5 *3 (-570)) (-5 *4 (-695 (-227))) (-5 *2 (-1044)) + (-5 *1 (-763))))) +(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *4) + (-12 (-5 *3 (-1168)) (-5 *4 (-570)) (-5 *5 (-695 (-171 (-227)))) + (-5 *2 (-1044)) (-5 *1 (-760))))) (((*1 *2 *3) (-12 (-4 *4 (-1058)) (-4 *2 (-13 (-410) (-1047 *4) (-368) (-1212) (-288))) - (-5 *1 (-449 *4 *3 *2)) (-4 *3 (-1253 *4)))) - ((*1 *2 *3 *4) - (-12 (-5 *4 (-928)) (-4 *5 (-1058)) - (-4 *2 (-13 (-410) (-1047 *5) (-368) (-1212) (-288))) - (-5 *1 (-449 *5 *3 *2)) (-4 *3 (-1253 *5))))) -(((*1 *1 *1) (-12 (-4 *1 (-662 *2)) (-4 *2 (-1058)))) - ((*1 *2 *3) - (-12 (-4 *4 (-562)) (-4 *4 (-174)) (-4 *5 (-378 *4)) - (-4 *6 (-378 *4)) (-5 *2 (-2 (|:| |adjMat| *3) (|:| |detMat| *4))) - (-5 *1 (-694 *4 *5 *6 *3)) (-4 *3 (-693 *4 *5 *6)))) - ((*1 *1 *1 *1) - (-12 (-4 *2 (-174)) (-4 *2 (-1058)) (-5 *1 (-720 *2 *3)) - (-4 *3 (-654 *2)))) - ((*1 *1 *1) - (-12 (-4 *2 (-174)) (-4 *2 (-1058)) (-5 *1 (-720 *2 *3)) - (-4 *3 (-654 *2)))) - ((*1 *1 *1 *1) (-12 (-5 *1 (-842 *2)) (-4 *2 (-174)) (-4 *2 (-1058)))) - ((*1 *1 *1) (-12 (-5 *1 (-842 *2)) (-4 *2 (-174)) (-4 *2 (-1058))))) + (-5 *1 (-449 *4 *3 *2)) (-4 *3 (-1253 *4))))) +(((*1 *2 *1) + (-12 (-4 *1 (-372 *3)) (-4 *3 (-174)) (-4 *3 (-562)) + (-5 *2 (-1182 *3))))) +(((*1 *2 *3 *4 *4 *4 *3 *5 *3 *4 *6 *7) + (-12 (-5 *4 (-570)) (-5 *5 (-695 (-227))) + (-5 *6 (-3 (|:| |fn| (-394)) (|:| |fp| (-86 FCN)))) + (-5 *7 (-3 (|:| |fn| (-394)) (|:| |fp| (-88 OUTPUT)))) + (-5 *3 (-227)) (-5 *2 (-1044)) (-5 *1 (-755))))) +(((*1 *1 *1) + (-12 (-5 *1 (-601 *2)) (-4 *2 (-38 (-413 (-570)))) (-4 *2 (-1058))))) +(((*1 *1 *1) (-5 *1 (-227))) ((*1 *1 *1) (-5 *1 (-384))) + ((*1 *1) (-5 *1 (-384)))) +(((*1 *2 *3) + (-12 (-5 *3 (-1182 *4)) (-4 *4 (-354)) + (-4 *2 + (-13 (-408) + (-10 -7 (-15 -3802 (*2 *4)) (-15 -2878 ((-928) *2)) + (-15 -2832 ((-1277 *2) (-928))) (-15 -1428 (*2 *2))))) + (-5 *1 (-361 *2 *4))))) (((*1 *2 *3) (-12 (-5 *3 (-1186)) (-4 *4 (-13 (-458) (-1047 (-570)) (-645 (-570)))) (-5 *2 (-52)) @@ -14444,60 +14200,76 @@ ((*1 *2 *1) (-12 (-4 *1 (-1260 *3 *2)) (-4 *3 (-1058)) (-4 *2 (-1237 *3))))) (((*1 *2 *1) - (-12 (-4 *1 (-1260 *3 *2)) (-4 *3 (-1058)) (-4 *2 (-1237 *3))))) + (-12 (-4 *1 (-330 *3 *4)) (-4 *3 (-1058)) (-4 *4 (-798)) + (-5 *2 (-777)))) + ((*1 *2 *1) + (-12 (-4 *1 (-387 *3 *4)) (-4 *3 (-1058)) (-4 *4 (-1109)) + (-5 *2 (-777)))) + ((*1 *2 *1) + (-12 (-5 *2 (-777)) (-5 *1 (-741 *3 *4)) (-4 *3 (-1058)) + (-4 *4 (-732))))) (((*1 *1 *1 *1) (-5 *1 (-112))) ((*1 *1 *1 *1) (-4 *1 (-124))) ((*1 *1 *1 *1) (-5 *1 (-1129)))) -(((*1 *2 *2 *2 *2 *2) (-12 (-5 *2 (-570)) (-5 *1 (-1056))))) -(((*1 *1 *1) - (|partial| -12 (-5 *1 (-298 *2)) (-4 *2 (-732)) (-4 *2 (-1227))))) -(((*1 *1 *1) (-12 (-4 *1 (-436 *2)) (-4 *2 (-1109)) (-4 *2 (-1058)))) - ((*1 *1 *1) (-12 (-4 *1 (-1001 *2)) (-4 *2 (-562))))) +(((*1 *2 *3 *3) + (-12 (-4 *4 (-826)) (-14 *5 (-1186)) (-5 *2 (-650 (-1250 *5 *4))) + (-5 *1 (-1123 *4 *5)) (-5 *3 (-1250 *5 *4))))) +(((*1 *2 *3) (-12 (-5 *3 (-950 *2)) (-5 *1 (-991 *2)) (-4 *2 (-1058))))) +(((*1 *2 *3 *1 *4 *4 *4 *4 *4) + (-12 (-5 *4 (-112)) (-4 *5 (-458)) (-4 *6 (-799)) (-4 *7 (-856)) + (-5 *2 (-650 (-1036 *5 *6 *7 *3))) (-5 *1 (-1036 *5 *6 *7 *3)) + (-4 *3 (-1074 *5 *6 *7)))) + ((*1 *1 *2 *1) + (-12 (-5 *2 (-650 *6)) (-4 *1 (-1080 *3 *4 *5 *6)) (-4 *3 (-458)) + (-4 *4 (-799)) (-4 *5 (-856)) (-4 *6 (-1074 *3 *4 *5)))) + ((*1 *1 *2 *1) + (-12 (-4 *1 (-1080 *3 *4 *5 *2)) (-4 *3 (-458)) (-4 *4 (-799)) + (-4 *5 (-856)) (-4 *2 (-1074 *3 *4 *5)))) + ((*1 *2 *3 *1 *4 *4 *4 *4 *4) + (-12 (-5 *4 (-112)) (-4 *5 (-458)) (-4 *6 (-799)) (-4 *7 (-856)) + (-5 *2 (-650 (-1155 *5 *6 *7 *3))) (-5 *1 (-1155 *5 *6 *7 *3)) + (-4 *3 (-1074 *5 *6 *7))))) (((*1 *2 *3) - (-12 (-5 *3 (-650 *2)) (-4 *2 (-436 *4)) (-5 *1 (-159 *4 *2)) - (-4 *4 (-562))))) -(((*1 *2 *3 *4 *3 *5 *5 *5 *5 *5) - (|partial| -12 (-5 *5 (-112)) (-4 *6 (-458)) (-4 *7 (-799)) - (-4 *8 (-856)) (-4 *9 (-1074 *6 *7 *8)) - (-5 *2 - (-2 (|:| -4308 (-650 *9)) (|:| -3687 *4) (|:| |ineq| (-650 *9)))) - (-5 *1 (-997 *6 *7 *8 *9 *4)) (-5 *3 (-650 *9)) - (-4 *4 (-1080 *6 *7 *8 *9)))) - ((*1 *2 *3 *4 *3 *5 *5 *5 *5 *5) - (|partial| -12 (-5 *5 (-112)) (-4 *6 (-458)) (-4 *7 (-799)) - (-4 *8 (-856)) (-4 *9 (-1074 *6 *7 *8)) - (-5 *2 - (-2 (|:| -4308 (-650 *9)) (|:| -3687 *4) (|:| |ineq| (-650 *9)))) - (-5 *1 (-1116 *6 *7 *8 *9 *4)) (-5 *3 (-650 *9)) - (-4 *4 (-1080 *6 *7 *8 *9))))) -(((*1 *2) - (-12 (-4 *1 (-347 *3 *4 *5)) (-4 *3 (-1231)) (-4 *4 (-1253 *3)) - (-4 *5 (-1253 (-413 *4))) (-5 *2 (-695 (-413 *4)))))) -(((*1 *1 *1) (-12 (-5 *1 (-176 *2)) (-4 *2 (-311))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-227)) (-5 *4 (-570)) (-5 *2 (-1044)) (-5 *1 (-764))))) -(((*1 *2 *3 *3 *3 *4 *5 *3 *6) - (-12 (-5 *3 (-570)) (-5 *4 (-695 (-227))) (-5 *5 (-227)) - (-5 *6 (-3 (|:| |fn| (-394)) (|:| |fp| (-74 FCN)))) (-5 *2 (-1044)) - (-5 *1 (-752))))) -(((*1 *1 *1 *2 *3) - (-12 (-5 *2 (-777)) (-5 *3 (-950 *4)) (-4 *1 (-1143 *4)) - (-4 *4 (-1058)))) - ((*1 *2 *1 *3 *4) - (-12 (-5 *3 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(-5 *2 (-777)) (-5 *1 (-694 *4 *5 *6 *3)) + (-4 *3 (-693 *4 *5 *6)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1062 *3 *4 *5 *6 *7)) (-4 *5 (-1058)) + (-4 *6 (-240 *4 *5)) (-4 *7 (-240 *3 *5)) (-4 *5 (-562)) + (-5 *2 (-777))))) +(((*1 *2 *3) + (-12 (-5 *3 (-1277 *1)) (-4 *1 (-372 *4)) (-4 *4 (-174)) + (-5 *2 (-650 (-959 *4))))) + ((*1 *2) + (-12 (-4 *4 (-174)) (-5 *2 (-650 (-959 *4))) (-5 *1 (-422 *3 *4)) + (-4 *3 (-423 *4)))) + ((*1 *2) + (-12 (-4 *1 (-423 *3)) (-4 *3 (-174)) (-5 *2 (-650 (-959 *3))))) + ((*1 *2) + (-12 (-5 *2 (-650 (-959 *3))) (-5 *1 (-459 *3 *4 *5 *6)) + (-4 *3 (-562)) (-4 *3 (-174)) (-14 *4 (-928)) + (-14 *5 (-650 (-1186))) (-14 *6 (-1277 (-695 *3))))) + ((*1 *2 *3) + (-12 (-5 *3 (-1277 (-459 *4 *5 *6 *7))) (-5 *2 (-650 (-959 *4))) + (-5 *1 (-459 *4 *5 *6 *7)) (-4 *4 (-562)) (-4 *4 (-174)) + (-14 *5 (-928)) (-14 *6 (-650 (-1186))) (-14 *7 (-1277 (-695 *4)))))) +(((*1 *2 *3) (-12 (-5 *3 (-1168)) (-5 *2 (-1282)) (-5 *1 (-442))))) +(((*1 *2 *1) (|partial| -12 (-4 *1 (-1021)) (-5 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(-1212)))))) +(((*1 *2 *1) + (-12 (-4 *3 (-13 (-368) (-148))) + (-5 *2 (-650 (-2 (|:| -2007 (-777)) (|:| -2288 *4) (|:| |num| *4)))) + (-5 *1 (-405 *3 *4)) (-4 *4 (-1253 *3))))) (((*1 *2 *3 *4) - (-12 (-4 *5 (-458)) (-4 *6 (-799)) (-4 *7 (-856)) - (-4 *3 (-1074 *5 *6 *7)) (-5 *2 (-650 *4)) - (-5 *1 (-1081 *5 *6 *7 *3 *4)) (-4 *4 (-1080 *5 *6 *7 *3))))) + (-12 (-5 *4 (-928)) (-5 *2 (-1182 *3)) (-5 *1 (-1201 *3)) + (-4 *3 (-368))))) +(((*1 *2 *2 *2) + (-12 (-5 *2 (-650 *6)) (-4 *6 (-1074 *3 *4 *5)) (-4 *3 (-458)) + (-4 *3 (-562)) (-4 *4 (-799)) (-4 *5 (-856)) + (-5 *1 (-986 *3 *4 *5 *6))))) +(((*1 *2 *2 *2) (-12 (-5 *2 (-227)) (-5 *1 (-228)))) + ((*1 *2 *2 *2) (-12 (-5 *2 (-171 (-227))) (-5 *1 (-228)))) + ((*1 *2 *2 *2) + (-12 (-4 *3 (-562)) (-5 *1 (-437 *3 *2)) (-4 *2 (-436 *3)))) + ((*1 *1 *1 *1) (-4 *1 (-1148)))) +(((*1 *2 *2) (|partial| -12 (-4 *1 (-992 *2)) (-4 *2 (-1212))))) +(((*1 *2 *3 *4 *3) + (-12 (-5 *3 (-570)) (-5 *4 (-695 (-227))) (-5 *2 (-1044)) + (-5 *1 (-753))))) +(((*1 *2 *2) + (-12 (-4 *3 (-1058)) (-5 *1 (-718 *3 *2)) (-4 *2 (-1253 *3))))) +(((*1 *1 *2 *3 *1) (-12 (-5 *2 (-512)) (-5 *3 (-603)) (-5 *1 (-591))))) +(((*1 *2 *2) + (-12 (-4 *3 (-562)) (-5 *1 (-279 *3 *2)) + (-4 *2 (-13 (-436 *3) (-1011)))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-562) (-1047 (-570)))) (-5 *1 (-190 *3 *2)) (-4 *2 (-13 (-27) (-1212) (-436 (-171 *3)))))) @@ -16227,10 +16252,37 @@ (-12 (-5 *3 (-1186)) (-4 *4 (-13 (-458) (-1047 (-570)) (-645 (-570)))) (-5 *1 (-1216 *4 *2)) (-4 *2 (-13 (-27) (-1212) (-436 *4)))))) -(((*1 *2 *3 *3 *4) - (-12 (-5 *4 (-777)) (-4 *5 (-562)) - (-5 *2 (-2 (|:| |coef2| *3) (|:| |subResultant| *3))) - (-5 *1 (-978 *5 *3)) (-4 *3 (-1253 *5))))) +(((*1 *1 *2) + (-12 (-5 *2 (-650 (-912 *3))) (-4 *3 (-1109)) (-5 *1 (-911 *3))))) +(((*1 *1 *1 *1 *2 *3) + (-12 (-5 *2 (-950 *5)) (-5 *3 (-777)) (-4 *5 (-1058)) + (-5 *1 (-1174 *4 *5)) (-14 *4 (-928))))) +(((*1 *2) (-12 (-5 *2 (-911 (-570))) (-5 *1 (-924))))) +(((*1 *2 *3 *4) + (-12 (-5 *4 (-777)) (-4 *5 (-1058)) (-5 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*3 *1) (-12 (-5 *3 (-1301 *4 *2)) (-4 *1 (-379 *4 *2)) (-4 *4 (-856)) (-4 *2 (-174)))) @@ -16241,39 +16293,35 @@ (-4 *2 (-1058)))) ((*1 *2 *1 *3) (-12 (-4 *2 (-1058)) (-5 *1 (-1300 *2 *3)) (-4 *3 (-852))))) -(((*1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-933))))) -(((*1 *2) (-12 (-5 *2 (-1168)) (-5 *1 (-1196))))) +(((*1 *1) (-5 *1 (-142)))) +(((*1 *1 *1 *1 *2) + (-12 (-5 *2 (-777)) (-4 *1 (-1074 *3 *4 *5)) (-4 *3 (-1058)) + (-4 *4 (-799)) (-4 *5 (-856)) (-4 *3 (-562))))) (((*1 *2 *3) (-12 (-5 *2 (-570)) (-5 *1 (-575 *3)) (-4 *3 (-1047 *2)))) ((*1 *2 *1) (-12 (-4 *1 (-1112 *3 *4 *2 *5 *6)) (-4 *3 (-1109)) (-4 *4 (-1109)) (-4 *5 (-1109)) (-4 *6 (-1109)) (-4 *2 (-1109))))) -(((*1 *2 *1) - (-12 (-4 *1 (-1143 *3)) (-4 *3 (-1058)) - (-5 *2 (-650 (-650 (-950 *3)))))) - ((*1 *1 *2 *3 *3) - (-12 (-5 *2 (-650 (-650 (-950 *4)))) (-5 *3 (-112)) (-4 *4 (-1058)) - (-4 *1 (-1143 *4)))) - ((*1 *1 *2) - (-12 (-5 *2 (-650 (-650 (-950 *3)))) (-4 *3 (-1058)) - (-4 *1 (-1143 *3)))) - ((*1 *1 *1 *2 *3 *3) - (-12 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|val| (-650 *3)) (|:| -3684 *4)))))) + (-5 *1 (-1078 *6 *7 *8 *3 *4)) (-4 *4 (-1080 *6 *7 *8 *3)))) + ((*1 *2 *3 *4) + (-12 (-4 *5 (-458)) (-4 *6 (-799)) (-4 *7 (-856)) + (-4 *3 (-1074 *5 *6 *7)) + (-5 *2 + (-2 (|:| |done| (-650 *4)) + (|:| |todo| (-650 (-2 (|:| |val| (-650 *3)) (|:| -3684 *4)))))) + (-5 *1 (-1154 *5 *6 *7 *3 *4)) (-4 *4 (-1118 *5 *6 *7 *3))))) +(((*1 *2 *1) (-12 (-4 *1 (-1001 *2)) (-4 *2 (-562)) (-4 *2 (-551)))) + ((*1 *1 *1) (-4 *1 (-1069)))) +(((*1 *2 *3 *1) + (-12 (-4 *1 (-1080 *4 *5 *6 *3)) (-4 *4 (-458)) (-4 *5 (-799)) + (-4 *6 (-856)) (-4 *3 (-1074 *4 *5 *6)) (-5 *2 (-112))))) (((*1 *2 *1) (-12 (-4 *1 (-257 *3)) (-4 *3 (-1227)) (-5 *2 (-777)))) ((*1 *2 *1) (-12 (-4 *1 (-306)) (-5 *2 (-777)))) ((*1 *2 *3) @@ -16283,27 +16331,33 @@ ((*1 *2 *1) (-12 (-5 *2 (-777)) (-5 *1 (-618 *3)) (-4 *3 (-1109)))) ((*1 *2) (-12 (-5 *2 (-570)) (-5 *1 (-868)))) ((*1 *2 *1) (-12 (-5 *2 (-570)) (-5 *1 (-868))))) -(((*1 *2 *3) - (-12 (-5 *3 (-1186)) - (-4 *4 (-13 (-311) (-1047 (-570)) 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