diff options
| -rw-r--r-- | src/ChangeLog | 7 | ||||
| -rw-r--r-- | src/algebra/syntax.spad.pamphlet | 6 | ||||
| -rw-r--r-- | src/interp/g-opt.boot | 2 | ||||
| -rw-r--r-- | src/interp/g-util.boot | 1 | ||||
| -rw-r--r-- | src/share/algebra/browse.daase | 636 | ||||
| -rw-r--r-- | src/share/algebra/category.daase | 1578 | ||||
| -rw-r--r-- | src/share/algebra/compress.daase | 1330 | ||||
| -rw-r--r-- | src/share/algebra/interp.daase | 9090 | ||||
| -rw-r--r-- | src/share/algebra/operation.daase | 30328 |
9 files changed, 21493 insertions, 21485 deletions
diff --git a/src/ChangeLog b/src/ChangeLog index d8eca691..160d2232 100644 --- a/src/ChangeLog +++ b/src/ChangeLog @@ -1,3 +1,10 @@ +2010-07-13 Gabriel Dos Reis <gdr@cs.tamu.edu> + + * interp/g-opt.boot: %sname is a side-effect free operator. + * interp/g-util.boot: Expand it. + * algebra/syntax.spad.pamphlet (Identifer): Now satisfies + CoercibleTo String. + 2010-07-11 Gabriel Dos Reis <gdr@cse.tamu.edu> * interp/database.boot (markUnique): Remove. diff --git a/src/algebra/syntax.spad.pamphlet b/src/algebra/syntax.spad.pamphlet index 0adfc2dc..a8d6c7a3 100644 --- a/src/algebra/syntax.spad.pamphlet +++ b/src/algebra/syntax.spad.pamphlet @@ -581,16 +581,18 @@ Literal(T: SetCategory): Public == Private where ++ )abbrev domain IDENT Identifier Identifier(): Public == Private where - Public == Join(SetCategory, CoercibleTo Symbol) with + Public == Join(SetCategory, CoercibleTo Symbol, CoercibleTo String) with gensym: () -> % ++ \spad{gensym()} returns a new identifier, different from ++ any other identifier in the running system Private == add import %peq: (%,%) -> Boolean from Foreign Builtin - import %gensym: () -> % from Foreign Builtin + import %gensym: () -> % from Foreign Builtin + import %sname: % -> String from Foreign Builtin gensym() == %gensym() x = y == %peq(x,y) coerce(x: %): Symbol == x : Symbol + coerce(x: %): String == %sname x coerce(x: %): OutputForm == x : OutputForm @ diff --git a/src/interp/g-opt.boot b/src/interp/g-opt.boot index a11855ff..47c5ce92 100644 --- a/src/interp/g-opt.boot +++ b/src/interp/g-opt.boot @@ -478,7 +478,7 @@ $VMsideEffectFreeOperators == %fpow %fdiv %fneg %i2f %fminval %fmaxval %fbase %fprec %ftrunc %nil %pair? %lconcat %llength %lfirst %lsecond %lthird %lreverse %lempty? %hash %ismall? %string? %f2s - %ceq %clt %cle %cgt %cge %c2i %i2c + %ceq %clt %cle %cgt %cge %c2i %i2c %sname %vref %vlength %before?) ++ List of simple VM operators diff --git a/src/interp/g-util.boot b/src/interp/g-util.boot index cf7da6ce..c2463dc5 100644 --- a/src/interp/g-util.boot +++ b/src/interp/g-util.boot @@ -382,6 +382,7 @@ for x in [ -- symbol unary functions ['%gensym, :'GENSYM], + ['%sname, :'SYMBOL_-NAME], -- string unary functions ['%string?, :'STRINGP], diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase index 9d72470b..3b549dc3 100644 --- a/src/share/algebra/browse.daase +++ b/src/share/algebra/browse.daase @@ -1,5 +1,5 @@ -(2296269 . 3487831421) +(2296269 . 3487980641) (-18 A S) ((|constructor| (NIL "One-dimensional-array aggregates serves as models for one-dimensional arrays. Categorically,{} these aggregates are finite linear aggregates with the \\spadatt{shallowlyMutable} property,{} that is,{} any component of the array may be changed without affecting the identity of the overall array. Array data structures are typically represented by a fixed area in storage and therefore cannot efficiently grow or shrink on demand as can list structures (see however \\spadtype{FlexibleArray} for a data structure which is a cross between a list and an array). Iteration over,{} and access to,{} elements of arrays is extremely fast (and often can be optimized to open-code). Insertion and deletion however is generally slow since an entirely new data structure must be created for the result."))) NIL @@ -56,7 +56,7 @@ NIL ((|constructor| (NIL "This domain represents the syntax for an add-expression.")) (|body| (((|SpadAst|) $) "base(\\spad{d}) returns the actual body of the add-domain expression \\spad{`d'}.")) (|base| (((|SpadAst|) $) "\\spad{base(d)} returns the base domain(\\spad{s}) of the add-domain expression."))) NIL NIL -(-32 R -2191) +(-32 R -1985) ((|constructor| (NIL "This package provides algebraic functions over an integral domain.")) (|iroot| ((|#2| |#1| (|Integer|)) "\\spad{iroot(p, n)} should be a non-exported function.")) (|definingPolynomial| ((|#2| |#2|) "\\spad{definingPolynomial(f)} returns the defining polynomial of \\spad{f} as an element of \\spad{F}. Error: if \\spad{f} is not a kernel.")) (|minPoly| (((|SparseUnivariatePolynomial| |#2|) (|Kernel| |#2|)) "\\spad{minPoly(k)} returns the defining polynomial of \\spad{k}.")) (** ((|#2| |#2| (|Fraction| (|Integer|))) "\\spad{x ** q} is \\spad{x} raised to the rational power \\spad{q}.")) (|droot| (((|OutputForm|) (|List| |#2|)) "\\spad{droot(l)} should be a non-exported function.")) (|inrootof| ((|#2| (|SparseUnivariatePolynomial| |#2|) |#2|) "\\spad{inrootof(p, x)} should be a non-exported function.")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} is \\spad{true} if \\spad{op} is an algebraic operator,{} that is,{} an \\spad{n}th root or implicit algebraic operator.")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\spad{F}. Error: if \\spad{op} is not an algebraic operator,{} that is,{} an \\spad{n}th root or implicit algebraic operator.")) (|rootOf| ((|#2| (|SparseUnivariatePolynomial| |#2|) (|Symbol|)) "\\spad{rootOf(p, y)} returns \\spad{y} such that \\spad{p(y) = 0}. The object returned displays as \\spad{'y}."))) NIL ((|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577))))) @@ -88,11 +88,11 @@ NIL ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in \\spadtype{AlgebraicNumber}.")) (|doublyTransitive?| (((|Boolean|) |#1|) "\\spad{doublyTransitive?(p)} is \\spad{true} if \\spad{p} is irreducible over over the field \\spad{K} generated by its coefficients,{} and if \\spad{p(X) / (X - a)} is irreducible over \\spad{K(a)} where \\spad{p(a) = 0}.")) (|split| (((|Factored| |#1|) |#1|) "\\spad{split(p)} returns a prime factorisation of \\spad{p} over its splitting field.")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p} over the field generated by its coefficients.") (((|Factored| |#1|) |#1| (|List| (|AlgebraicNumber|))) "\\spad{factor(p, [a1,...,an])} returns a prime factorisation of \\spad{p} over the field generated by its coefficients and a1,{}...,{}an."))) NIL NIL -(-40 -2191 UP UPUP -4354) +(-40 -1985 UP UPUP -4286) ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}"))) ((-4463 |has| (-420 |#2|) (-375)) (-4468 |has| (-420 |#2|) (-375)) (-4462 |has| (-420 |#2|) (-375)) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| (-420 |#2|) (QUOTE (-146))) (|HasCategory| (-420 |#2|) (QUOTE (-148))) (|HasCategory| (-420 |#2|) (QUOTE (-361))) (-3803 (|HasCategory| (-420 |#2|) (QUOTE (-375))) (|HasCategory| (-420 |#2|) (QUOTE (-361)))) (|HasCategory| (-420 |#2|) (QUOTE (-375))) (|HasCategory| (-420 |#2|) (QUOTE (-380))) (-3803 (-12 (|HasCategory| (-420 |#2|) (QUOTE (-239))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (|HasCategory| (-420 |#2|) (QUOTE (-361)))) (-3803 (-12 (|HasCategory| (-420 |#2|) (QUOTE (-239))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (QUOTE (-238))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (|HasCategory| (-420 |#2|) (QUOTE (-361)))) (-3803 (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-420 |#2|) (QUOTE (-361))))) (-3803 (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| (-420 |#2|) (QUOTE (-375))))) (|HasCategory| (-420 |#2|) (LIST (QUOTE -654) (QUOTE (-577)))) (-3803 (|HasCategory| (-420 |#2|) (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (|HasCategory| (-420 |#2|) (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-420 |#2|) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-380))) (-12 (|HasCategory| (-420 |#2|) (QUOTE (-238))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (QUOTE (-239))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-420 |#2|) (QUOTE (-375))))) -(-41 R -2191) +((|HasCategory| (-420 |#2|) (QUOTE (-146))) (|HasCategory| (-420 |#2|) (QUOTE (-148))) (|HasCategory| (-420 |#2|) (QUOTE (-361))) (-2811 (|HasCategory| (-420 |#2|) (QUOTE (-375))) (|HasCategory| (-420 |#2|) (QUOTE (-361)))) (|HasCategory| (-420 |#2|) (QUOTE (-375))) (|HasCategory| (-420 |#2|) (QUOTE (-380))) (-2811 (-12 (|HasCategory| (-420 |#2|) (QUOTE (-239))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (|HasCategory| (-420 |#2|) (QUOTE (-361)))) (-2811 (-12 (|HasCategory| (-420 |#2|) (QUOTE (-239))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (QUOTE (-238))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (|HasCategory| (-420 |#2|) (QUOTE (-361)))) (-2811 (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-420 |#2|) (QUOTE (-361))))) (-2811 (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| (-420 |#2|) (QUOTE (-375))))) (|HasCategory| (-420 |#2|) (LIST (QUOTE -654) (QUOTE (-577)))) (-2811 (|HasCategory| (-420 |#2|) (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (|HasCategory| (-420 |#2|) (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-420 |#2|) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-380))) (-12 (|HasCategory| (-420 |#2|) (QUOTE (-238))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (QUOTE (-239))) (|HasCategory| (-420 |#2|) (QUOTE (-375)))) (-12 (|HasCategory| (-420 |#2|) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-420 |#2|) (QUOTE (-375))))) +(-41 R -1985) ((|constructor| (NIL "AlgebraicManipulations provides functions to simplify and expand expressions involving algebraic operators.")) (|rootKerSimp| ((|#2| (|BasicOperator|) |#2| (|NonNegativeInteger|)) "\\spad{rootKerSimp(op,f,n)} should be local but conditional.")) (|rootSimp| ((|#2| |#2|) "\\spad{rootSimp(f)} transforms every radical of the form \\spad{(a * b**(q*n+r))**(1/n)} appearing in \\spad{f} into \\spad{b**q * (a * b**r)**(1/n)}. This transformation is not in general valid for all complex numbers \\spad{b}.")) (|rootProduct| ((|#2| |#2|) "\\spad{rootProduct(f)} combines every product of the form \\spad{(a**(1/n))**m * (a**(1/s))**t} into a single power of a root of \\spad{a},{} and transforms every radical power of the form \\spad{(a**(1/n))**m} into a simpler form.")) (|rootPower| ((|#2| |#2|) "\\spad{rootPower(f)} transforms every radical power of the form \\spad{(a**(1/n))**m} into a simpler form if \\spad{m} and \\spad{n} have a common factor.")) (|ratPoly| (((|SparseUnivariatePolynomial| |#2|) |#2|) "\\spad{ratPoly(f)} returns a polynomial \\spad{p} such that \\spad{p} has no algebraic coefficients,{} and \\spad{p(f) = 0}.")) (|ratDenom| ((|#2| |#2| (|List| (|Kernel| |#2|))) "\\spad{ratDenom(f, [a1,...,an])} removes the \\spad{ai}\\spad{'s} which are algebraic from the denominators in \\spad{f}.") ((|#2| |#2| (|List| |#2|)) "\\spad{ratDenom(f, [a1,...,an])} removes the \\spad{ai}\\spad{'s} which are algebraic kernels from the denominators in \\spad{f}.") ((|#2| |#2| |#2|) "\\spad{ratDenom(f, a)} removes \\spad{a} from the denominators in \\spad{f} if \\spad{a} is an algebraic kernel.") ((|#2| |#2|) "\\spad{ratDenom(f)} rationalizes the denominators appearing in \\spad{f} by moving all the algebraic quantities into the numerators.")) (|rootSplit| ((|#2| |#2|) "\\spad{rootSplit(f)} transforms every radical of the form \\spad{(a/b)**(1/n)} appearing in \\spad{f} into \\spad{a**(1/n) / b**(1/n)}. This transformation is not in general valid for all complex numbers \\spad{a} and \\spad{b}.")) (|coerce| (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{coerce(x)} \\undocumented")) (|denom| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{denom(x)} \\undocumented")) (|numer| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{numer(x)} \\undocumented"))) NIL ((-12 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -443) (|devaluate| |#1|))))) @@ -111,7 +111,7 @@ NIL (-45 |Key| |Entry|) ((|constructor| (NIL "\\spadtype{AssociationList} implements association lists. These may be viewed as lists of pairs where the first part is a key and the second is the stored value. For example,{} the key might be a string with a persons employee identification number and the value might be a record with personnel data."))) ((-4470 . T) (-4471 . T)) -((-3803 (-12 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-865))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2350) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2911) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2350) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2911) (|devaluate| |#2|))))))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-865))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -627) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-865))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-1125)))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-865))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-865))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-1125)))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-102))) (-12 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2350) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2911) (|devaluate| |#2|))))))) +((-2811 (-12 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-865))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4323) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2438) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4323) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2438) (|devaluate| |#2|))))))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-865))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -627) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-865))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-1125)))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-865))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-865))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-1125)))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-102))) (-12 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4323) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2438) (|devaluate| |#2|))))))) (-46 S R E) ((|constructor| (NIL "Abelian monoid ring elements (not necessarily of finite support) of this ring are of the form formal SUM (r_i * e_i) where the r_i are coefficents and the e_i,{} elements of the ordered abelian monoid,{} are thought of as exponents or monomials. The monomials commute with each other,{} and with the coefficients (which themselves may or may not be commutative). See \\spadtype{FiniteAbelianMonoidRing} for the case of finite support a useful common model for polynomials and power series. Conceptually at least,{} only the non-zero terms are ever operated on.")) (/ (($ $ |#2|) "\\spad{p/c} divides \\spad{p} by the coefficient \\spad{c}.")) (|coefficient| ((|#2| $ |#3|) "\\spad{coefficient(p,e)} extracts the coefficient of the monomial with exponent \\spad{e} from polynomial \\spad{p},{} or returns zero if exponent is not present.")) (|reductum| (($ $) "\\spad{reductum(u)} returns \\spad{u} minus its leading monomial returns zero if handed the zero element.")) (|monomial| (($ |#2| |#3|) "\\spad{monomial(r,e)} makes a term from a coefficient \\spad{r} and an exponent \\spad{e}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(p)} tests if \\spad{p} is a single monomial.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(fn,u)} maps function \\spad{fn} onto the coefficients of the non-zero monomials of \\spad{u}.")) (|degree| ((|#3| $) "\\spad{degree(p)} returns the maximum of the exponents of the terms of \\spad{p}.")) (|leadingMonomial| (($ $) "\\spad{leadingMonomial(p)} returns the monomial of \\spad{p} with the highest degree.")) (|leadingCoefficient| ((|#2| $) "\\spad{leadingCoefficient(p)} returns the coefficient highest degree term of \\spad{p}."))) NIL @@ -144,7 +144,7 @@ NIL ((|constructor| (NIL "\\spad{ApplyUnivariateSkewPolynomial} (internal) allows univariate skew polynomials to be applied to appropriate modules.")) (|apply| ((|#2| |#3| (|Mapping| |#2| |#2|) |#2|) "\\spad{apply(p, f, m)} returns \\spad{p(m)} where the action is given by \\spad{x m = f(m)}. \\spad{f} must be an \\spad{R}-pseudo linear map on \\spad{M}."))) NIL NIL -(-54 |Base| R -2191) +(-54 |Base| R -1985) ((|constructor| (NIL "This package apply rewrite rules to expressions,{} calling the pattern matcher.")) (|localUnquote| ((|#3| |#3| (|List| (|Symbol|))) "\\spad{localUnquote(f,ls)} is a local function.")) (|applyRules| ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3| (|PositiveInteger|)) "\\spad{applyRules([r1,...,rn], expr, n)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} a most \\spad{n} times.") ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3|) "\\spad{applyRules([r1,...,rn], expr)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} an unlimited number of times,{} \\spadignore{i.e.} until none of \\spad{r1},{}...,{}\\spad{rn} is applicable to the expression."))) NIL NIL @@ -167,64 +167,64 @@ NIL (-59 S) ((|constructor| (NIL "This is the domain of 1-based one dimensional arrays")) (|oneDimensionalArray| (($ (|NonNegativeInteger|) |#1|) "\\spad{oneDimensionalArray(n,s)} creates an array from \\spad{n} copies of element \\spad{s}") (($ (|List| |#1|)) "\\spad{oneDimensionalArray(l)} creates an array from a list of elements \\spad{l}"))) ((-4471 . T) (-4470 . T)) -((-3803 (-12 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-3803 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) +((-2811 (-12 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-2811 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|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}."))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) -(-61 -4132) +((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) +(-61 -2668) ((|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 -4132) +(-62 -2668) ((|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 -4132) +(-63 -2668) ((|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 -4132) +(-64 -2668) ((|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 -4132) +(-65 -2668) ((|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 -4132) +(-66 -2668) ((|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 -4132) +(-67 -2668) ((|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 -4132) +(-68 -2668) ((|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 -4132) +(-69 -2668) ((|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 -4132) +(-70 -2668) ((|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 -4132) +(-71 -2668) ((|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 -4132) +(-72 -2668) ((|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 -4132) +(-73 -2668) ((|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 -4132) +(-74 -2668) ((|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 -4132) +(-77 -2668) ((|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 -4132) +(-78 -2668) ((|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 -4132) +(-79 -2668) ((|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 -4132) +(-80 -2668) ((|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 -4132) +(-81 -2668) ((|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 -4132) +(-82 -2668) ((|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 -4132) +(-83 -2668) ((|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 -4132) +(-84 -2668) ((|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 -4132) +(-85 -2668) ((|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 -4132) +(-86 -2668) ((|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 -4132) +(-87 -2668) ((|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 -4132) +(-88 -2668) ((|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 -4132) +(-89 -2668) ((|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}."))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) (-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}."))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) (-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."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| (-577) (QUOTE (-932))) (|HasCategory| (-577) (LIST (QUOTE -1063) (QUOTE (-1201)))) (|HasCategory| (-577) (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-148))) (|HasCategory| (-577) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| (-577) (QUOTE (-1047))) (|HasCategory| (-577) (QUOTE (-836))) (|HasCategory| (-577) (QUOTE (-865))) (-3803 (|HasCategory| (-577) (QUOTE (-836))) (|HasCategory| (-577) (QUOTE (-865)))) (|HasCategory| (-577) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-1177))) (|HasCategory| (-577) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| (-577) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| (-577) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| (-577) (QUOTE (-238))) (|HasCategory| (-577) (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| (-577) (QUOTE (-239))) (|HasCategory| (-577) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-577) (LIST (QUOTE -527) (QUOTE (-1201)) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -320) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -297) (QUOTE (-577)) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-318))) (|HasCategory| (-577) (QUOTE (-558))) (|HasCategory| (-577) (LIST (QUOTE -654) (QUOTE (-577)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-932)))) (-3803 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-932)))) (|HasCategory| (-577) (QUOTE (-146))))) +((|HasCategory| (-577) (QUOTE (-932))) (|HasCategory| (-577) (LIST (QUOTE -1063) (QUOTE (-1201)))) (|HasCategory| (-577) (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-148))) (|HasCategory| (-577) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| (-577) (QUOTE (-1047))) (|HasCategory| (-577) (QUOTE (-836))) (|HasCategory| (-577) (QUOTE (-865))) (-2811 (|HasCategory| (-577) (QUOTE (-836))) (|HasCategory| (-577) (QUOTE (-865)))) (|HasCategory| (-577) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-1177))) (|HasCategory| (-577) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| (-577) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| (-577) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| (-577) (QUOTE (-238))) (|HasCategory| (-577) (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| (-577) (QUOTE (-239))) (|HasCategory| (-577) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-577) (LIST (QUOTE -527) (QUOTE (-1201)) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -320) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -297) (QUOTE (-577)) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-318))) (|HasCategory| (-577) (QUOTE (-558))) (|HasCategory| (-577) (LIST (QUOTE -654) (QUOTE (-577)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-932)))) (-2811 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-932)))) (|HasCategory| (-577) (QUOTE (-146))))) (-109) ((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 18,{} 2008. A `Binding' is a name asosciated with a collection of properties.")) (|binding| (($ (|Identifier|) (|List| (|Property|))) "\\spad{binding(n,props)} constructs a binding with name \\spad{`n'} and property list `props'.")) (|properties| (((|List| (|Property|)) $) "\\spad{properties(b)} returns the properties associated with binding \\spad{b}.")) (|name| (((|Identifier|) $) "\\spad{name(b)} returns the name of binding \\spad{b}"))) NIL @@ -392,7 +392,7 @@ NIL ((|constructor| (NIL "A basic operator is an object that can be applied to a list of arguments from a set,{} the result being a kernel over that set.")) (|setProperties| (($ $ (|AssociationList| (|String|) (|None|))) "\\spad{setProperties(op, l)} sets the property list of \\spad{op} to \\spad{l}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|setProperty| (($ $ (|Identifier|) (|None|)) "\\spad{setProperty(op, p, v)} attaches property \\spad{p} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|) (|None|)) "\\spad{setProperty(op, s, v)} attaches property \\spad{s} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|property| (((|Maybe| (|None|)) $ (|Identifier|)) "\\spad{property(op, p)} returns the value of property \\spad{p} if it is attached to \\spad{op},{} otherwise \\spad{nothing}.") (((|Union| (|None|) "failed") $ (|String|)) "\\spad{property(op, s)} returns the value of property \\spad{s} if it is attached to \\spad{op},{} and \"failed\" otherwise.")) (|deleteProperty!| (($ $ (|Identifier|)) "\\spad{deleteProperty!(op, p)} unattaches property \\spad{p} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|)) "\\spad{deleteProperty!(op, s)} unattaches property \\spad{s} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|assert| (($ $ (|Identifier|)) "\\spad{assert(op, p)} attaches property \\spad{p} to \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|has?| (((|Boolean|) $ (|Identifier|)) "\\spad{has?(op,p)} tests if property \\spad{s} is attached to \\spad{op}.")) (|input| (((|Union| (|Mapping| (|InputForm|) (|List| (|InputForm|))) "failed") $) "\\spad{input(op)} returns the \"\\%input\" property of \\spad{op} if it has one attached,{} \"failed\" otherwise.") (($ $ (|Mapping| (|InputForm|) (|List| (|InputForm|)))) "\\spad{input(op, foo)} attaches foo as the \"\\%input\" property of \\spad{op}. If \\spad{op} has a \"\\%input\" property \\spad{f},{} then \\spad{op(a1,...,an)} gets converted to InputForm as \\spad{f(a1,...,an)}.")) (|display| (($ $ (|Mapping| (|OutputForm|) (|OutputForm|))) "\\spad{display(op, foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a)} gets converted to OutputForm as \\spad{f(a)}. Argument \\spad{op} must be unary.") (($ $ (|Mapping| (|OutputForm|) (|List| (|OutputForm|)))) "\\spad{display(op, foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a1,...,an)} gets converted to OutputForm as \\spad{f(a1,...,an)}.") (((|Union| (|Mapping| (|OutputForm|) (|List| (|OutputForm|))) "failed") $) "\\spad{display(op)} returns the \"\\%display\" property of \\spad{op} if it has one attached,{} and \"failed\" otherwise.")) (|comparison| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{comparison(op, foo?)} attaches foo? as the \"\\%less?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has a \"\\%less?\" property \\spad{f},{} then \\spad{f(op1, op2)} is called to decide whether \\spad{op1 < op2}.")) (|equality| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{equality(op, foo?)} attaches foo? as the \"\\%equal?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has an \"\\%equal?\" property \\spad{f},{} then \\spad{f(op1, op2)} is called to decide whether op1 and op2 should be considered equal.")) (|weight| (($ $ (|NonNegativeInteger|)) "\\spad{weight(op, n)} attaches the weight \\spad{n} to \\spad{op}.") (((|NonNegativeInteger|) $) "\\spad{weight(op)} returns the weight attached to \\spad{op}.")) (|nary?| (((|Boolean|) $) "\\spad{nary?(op)} tests if \\spad{op} has arbitrary arity.")) (|unary?| (((|Boolean|) $) "\\spad{unary?(op)} tests if \\spad{op} is unary.")) (|nullary?| (((|Boolean|) $) "\\spad{nullary?(op)} tests if \\spad{op} is nullary.")) (|operator| (($ (|Symbol|) (|Arity|)) "\\spad{operator(f, a)} makes \\spad{f} into an operator of arity \\spad{a}.") (($ (|Symbol|) (|NonNegativeInteger|)) "\\spad{operator(f, n)} makes \\spad{f} into an \\spad{n}-ary operator.") (($ (|Symbol|)) "\\spad{operator(f)} makes \\spad{f} into an operator with arbitrary arity.")) (|copy| (($ $) "\\spad{copy(op)} returns a copy of \\spad{op}.")) (|properties| (((|AssociationList| (|String|) (|None|)) $) "\\spad{properties(op)} returns the list of all the properties currently attached to \\spad{op}."))) NIL NIL -(-116 -2191 UP) +(-116 -1985 UP) ((|constructor| (NIL "\\spadtype{BoundIntegerRoots} provides functions to find lower bounds on the integer roots of a polynomial.")) (|integerBound| (((|Integer|) |#2|) "\\spad{integerBound(p)} returns a lower bound on the negative integer roots of \\spad{p},{} and 0 if \\spad{p} has no negative integer roots."))) NIL NIL @@ -403,7 +403,7 @@ NIL (-118 |p|) ((|constructor| (NIL "Stream-based implementation of \\spad{Qp:} numbers are represented as sum(\\spad{i} = \\spad{k}..,{} a[\\spad{i}] * p^i),{} where the a[\\spad{i}] lie in -(\\spad{p} - 1)\\spad{/2},{}...,{}(\\spad{p} - 1)\\spad{/2}."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| (-117 |#1|) (QUOTE (-932))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1063) (QUOTE (-1201)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-148))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| (-117 |#1|) (QUOTE (-1047))) (|HasCategory| (-117 |#1|) (QUOTE (-836))) (|HasCategory| (-117 |#1|) (QUOTE (-865))) (-3803 (|HasCategory| (-117 |#1|) (QUOTE (-836))) (|HasCategory| (-117 |#1|) (QUOTE (-865)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| (-117 |#1|) (QUOTE (-1177))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| (-117 |#1|) (QUOTE (-238))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| (-117 |#1|) (QUOTE (-239))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -527) (QUOTE (-1201)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -320) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -297) (LIST (QUOTE -117) (|devaluate| |#1|)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (QUOTE (-318))) (|HasCategory| (-117 |#1|) (QUOTE (-558))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-932)))) (-3803 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-932)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))))) +((|HasCategory| (-117 |#1|) (QUOTE (-932))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1063) (QUOTE (-1201)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-148))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| (-117 |#1|) (QUOTE (-1047))) (|HasCategory| (-117 |#1|) (QUOTE (-836))) (|HasCategory| (-117 |#1|) (QUOTE (-865))) (-2811 (|HasCategory| (-117 |#1|) (QUOTE (-836))) (|HasCategory| (-117 |#1|) (QUOTE (-865)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| (-117 |#1|) (QUOTE (-1177))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| (-117 |#1|) (QUOTE (-238))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| (-117 |#1|) (QUOTE (-239))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -527) (QUOTE (-1201)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -320) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -297) (LIST (QUOTE -117) (|devaluate| |#1|)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (QUOTE (-318))) (|HasCategory| (-117 |#1|) (QUOTE (-558))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-932)))) (-2811 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-932)))) (|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"))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) (-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."))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) (-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."))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) (-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."))) ((-4471 . T) (-4470 . T)) -((-3803 (-12 (|HasCategory| (-130) (QUOTE (-865))) (|HasCategory| (-130) (LIST (QUOTE -320) (QUOTE (-130))))) (-12 (|HasCategory| (-130) (QUOTE (-1125))) (|HasCategory| (-130) (LIST (QUOTE -320) (QUOTE (-130)))))) (-3803 (-12 (|HasCategory| (-130) (QUOTE (-1125))) (|HasCategory| (-130) (LIST (QUOTE -320) (QUOTE (-130))))) (|HasCategory| (-130) (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| (-130) (LIST (QUOTE -627) (QUOTE (-549)))) (-3803 (|HasCategory| (-130) (QUOTE (-865))) (|HasCategory| (-130) (QUOTE (-1125)))) (|HasCategory| (-130) (QUOTE (-865))) (-3803 (|HasCategory| (-130) (QUOTE (-102))) (|HasCategory| (-130) (QUOTE (-865))) (|HasCategory| (-130) (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| (-130) (QUOTE (-1125))) (|HasCategory| (-130) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-130) (QUOTE (-102))) (-12 (|HasCategory| (-130) (QUOTE (-1125))) (|HasCategory| (-130) (LIST (QUOTE -320) (QUOTE (-130)))))) +((-2811 (-12 (|HasCategory| (-130) (QUOTE (-865))) (|HasCategory| (-130) (LIST (QUOTE -320) (QUOTE (-130))))) (-12 (|HasCategory| (-130) (QUOTE (-1125))) (|HasCategory| (-130) (LIST (QUOTE -320) (QUOTE (-130)))))) (-2811 (-12 (|HasCategory| (-130) (QUOTE (-1125))) (|HasCategory| (-130) (LIST (QUOTE -320) (QUOTE (-130))))) (|HasCategory| (-130) (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| (-130) (LIST (QUOTE -627) (QUOTE (-549)))) (-2811 (|HasCategory| (-130) (QUOTE (-865))) (|HasCategory| (-130) (QUOTE (-1125)))) (|HasCategory| (-130) (QUOTE (-865))) (-2811 (|HasCategory| (-130) (QUOTE (-102))) (|HasCategory| (-130) (QUOTE (-865))) (|HasCategory| (-130) (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| (-130) (QUOTE (-1125))) (|HasCategory| (-130) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-130) (QUOTE (-102))) (-12 (|HasCategory| (-130) (QUOTE (-1125))) (|HasCategory| (-130) (LIST (QUOTE -320) (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") $ $) "\\spad{x - y} returns an element \\spad{z} such that \\spad{z+y=x} or \"failed\" if no such element exists.")) (|commutative| ((|attribute| "*") "a domain \\spad{D} has \\spad{commutative(\"*\")} if it has an operation \\spad{\"*\": (D,D) -> D} which is commutative."))) (((-4472 "*") . T)) NIL -(-136 |minix| -2593 S T$) +(-136 |minix| -3985 S T$) ((|constructor| (NIL "This package provides functions to enable conversion of tensors given conversion of the components.")) (|map| (((|CartesianTensor| |#1| |#2| |#4|) (|Mapping| |#4| |#3|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{map(f,ts)} does a componentwise conversion of the tensor \\spad{ts} to a tensor with components of type \\spad{T}.")) (|reshape| (((|CartesianTensor| |#1| |#2| |#4|) (|List| |#4|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{reshape(lt,ts)} organizes the list of components \\spad{lt} into a tensor with the same shape as \\spad{ts}."))) NIL NIL -(-137 |minix| -2593 R) +(-137 |minix| -3985 R) ((|constructor| (NIL "CartesianTensor(minix,{}dim,{}\\spad{R}) provides Cartesian tensors with components belonging to a commutative ring \\spad{R}. These tensors can have any number of indices. Each index takes values from \\spad{minix} to \\spad{minix + dim - 1}.")) (|sample| (($) "\\spad{sample()} returns an object of type \\%.")) (|unravel| (($ (|List| |#3|)) "\\spad{unravel(t)} produces a tensor from a list of components such that \\indented{2}{\\spad{unravel(ravel(t)) = t}.}")) (|ravel| (((|List| |#3|) $) "\\spad{ravel(t)} produces a list of components from a tensor such that \\indented{2}{\\spad{unravel(ravel(t)) = t}.}")) (|leviCivitaSymbol| (($) "\\spad{leviCivitaSymbol()} is the rank \\spad{dim} tensor defined by \\spad{leviCivitaSymbol()(i1,...idim) = +1/0/-1} if \\spad{i1,...,idim} is an even/is nota /is an odd permutation of \\spad{minix,...,minix+dim-1}.")) (|kroneckerDelta| (($) "\\spad{kroneckerDelta()} is the rank 2 tensor defined by \\indented{3}{\\spad{kroneckerDelta()(i,j)}} \\indented{6}{\\spad{= 1\\space{2}if i = j}} \\indented{6}{\\spad{= 0 if\\space{2}i \\~= j}}")) (|reindex| (($ $ (|List| (|Integer|))) "\\spad{reindex(t,[i1,...,idim])} permutes the indices of \\spad{t}. For example,{} if \\spad{r = reindex(t, [4,1,2,3])} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank for tensor given by \\indented{4}{\\spad{r(i,j,k,l) = t(l,i,j,k)}.}")) (|transpose| (($ $ (|Integer|) (|Integer|)) "\\spad{transpose(t,i,j)} exchanges the \\spad{i}\\spad{-}th and \\spad{j}\\spad{-}th indices of \\spad{t}. For example,{} if \\spad{r = transpose(t,2,3)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 4 tensor given by \\indented{4}{\\spad{r(i,j,k,l) = t(i,k,j,l)}.}") (($ $) "\\spad{transpose(t)} exchanges the first and last indices of \\spad{t}. For example,{} if \\spad{r = transpose(t)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 4 tensor given by \\indented{4}{\\spad{r(i,j,k,l) = t(l,j,k,i)}.}")) (|contract| (($ $ (|Integer|) (|Integer|)) "\\spad{contract(t,i,j)} is the contraction of tensor \\spad{t} which sums along the \\spad{i}\\spad{-}th and \\spad{j}\\spad{-}th indices. For example,{} if \\spad{r = contract(t,1,3)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 2 \\spad{(= 4 - 2)} tensor given by \\indented{4}{\\spad{r(i,j) = sum(h=1..dim,t(h,i,h,j))}.}") (($ $ (|Integer|) $ (|Integer|)) "\\spad{contract(t,i,s,j)} is the inner product of tenors \\spad{s} and \\spad{t} which sums along the \\spad{k1}\\spad{-}th index of \\spad{t} and the \\spad{k2}\\spad{-}th index of \\spad{s}. For example,{} if \\spad{r = contract(s,2,t,1)} for rank 3 tensors rank 3 tensors \\spad{s} and \\spad{t},{} then \\spad{r} is the rank 4 \\spad{(= 3 + 3 - 2)} tensor given by \\indented{4}{\\spad{r(i,j,k,l) = sum(h=1..dim,s(i,h,j)*t(h,k,l))}.}")) (* (($ $ $) "\\spad{s*t} is the inner product of the tensors \\spad{s} and \\spad{t} which contracts the last index of \\spad{s} with the first index of \\spad{t},{} \\spadignore{i.e.} \\indented{4}{\\spad{t*s = contract(t,rank t, s, 1)}} \\indented{4}{\\spad{t*s = sum(k=1..N, t[i1,..,iN,k]*s[k,j1,..,jM])}} This is compatible with the use of \\spad{M*v} to denote the matrix-vector inner product.")) (|product| (($ $ $) "\\spad{product(s,t)} is the outer product of the tensors \\spad{s} and \\spad{t}. For example,{} if \\spad{r = product(s,t)} for rank 2 tensors \\spad{s} and \\spad{t},{} then \\spad{r} is a rank 4 tensor given by \\indented{4}{\\spad{r(i,j,k,l) = s(i,j)*t(k,l)}.}")) (|elt| ((|#3| $ (|List| (|Integer|))) "\\spad{elt(t,[i1,...,iN])} gives a component of a rank \\spad{N} tensor.") ((|#3| $ (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{elt(t,i,j,k,l)} gives a component of a rank 4 tensor.") ((|#3| $ (|Integer|) (|Integer|) (|Integer|)) "\\spad{elt(t,i,j,k)} gives a component of a rank 3 tensor.") ((|#3| $ (|Integer|) (|Integer|)) "\\spad{elt(t,i,j)} gives a component of a rank 2 tensor.") ((|#3| $) "\\spad{elt(t)} gives the component of a rank 0 tensor.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(t)} returns the tensorial rank of \\spad{t} (that is,{} the number of indices). This is the same as the graded module degree.")) (|coerce| (($ (|List| $)) "\\spad{coerce([t_1,...,t_dim])} allows tensors to be constructed using lists.") (($ (|List| |#3|)) "\\spad{coerce([r_1,...,r_dim])} allows tensors to be constructed using lists.") (($ (|SquareMatrix| |#2| |#3|)) "\\spad{coerce(m)} views a matrix as a rank 2 tensor.") (($ (|DirectProduct| |#2| |#3|)) "\\spad{coerce(v)} views a vector as a rank 1 tensor."))) NIL NIL @@ -499,7 +499,7 @@ NIL (-142) ((|constructor| (NIL "This domain allows classes of characters to be defined and manipulated efficiently.")) (|alphanumeric| (($) "\\spad{alphanumeric()} returns the class of all characters for which \\spadfunFrom{alphanumeric?}{Character} is \\spad{true}.")) (|alphabetic| (($) "\\spad{alphabetic()} returns the class of all characters for which \\spadfunFrom{alphabetic?}{Character} is \\spad{true}.")) (|lowerCase| (($) "\\spad{lowerCase()} returns the class of all characters for which \\spadfunFrom{lowerCase?}{Character} is \\spad{true}.")) (|upperCase| (($) "\\spad{upperCase()} returns the class of all characters for which \\spadfunFrom{upperCase?}{Character} is \\spad{true}.")) (|hexDigit| (($) "\\spad{hexDigit()} returns the class of all characters for which \\spadfunFrom{hexDigit?}{Character} is \\spad{true}.")) (|digit| (($) "\\spad{digit()} returns the class of all characters for which \\spadfunFrom{digit?}{Character} is \\spad{true}.")) (|charClass| (($ (|List| (|Character|))) "\\spad{charClass(l)} creates a character class which contains exactly the characters given in the list \\spad{l}.") (($ (|String|)) "\\spad{charClass(s)} creates a character class which contains exactly the characters given in the string \\spad{s}."))) ((-4470 . T) (-4460 . T) (-4471 . T)) -((-3803 (-12 (|HasCategory| (-145) (QUOTE (-380))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| (-145) (QUOTE (-380))) (|HasCategory| (-145) (QUOTE (-865))) (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) +((-2811 (-12 (|HasCategory| (-145) (QUOTE (-380))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| (-145) (QUOTE (-380))) (|HasCategory| (-145) (QUOTE (-865))) (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (-143 R Q A) ((|constructor| (NIL "CommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#3|) "\\spad{splitDenominator([q1,...,qn])} returns \\spad{[[p1,...,pn], d]} such that \\spad{qi = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|clearDenominator| ((|#3| |#3|) "\\spad{clearDenominator([q1,...,qn])} returns \\spad{[p1,...,pn]} such that \\spad{qi = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|commonDenominator| ((|#1| |#3|) "\\spad{commonDenominator([q1,...,qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}\\spad{qn}."))) NIL @@ -524,7 +524,7 @@ NIL ((|constructor| (NIL "Rings of Characteristic Zero."))) ((-4467 . T)) NIL -(-149 -2191 UP UPUP) +(-149 -1985 UP UPUP) ((|constructor| (NIL "Tools to send a point to infinity on an algebraic curve.")) (|chvar| (((|Record| (|:| |func| |#3|) (|:| |poly| |#3|) (|:| |c1| (|Fraction| |#2|)) (|:| |c2| (|Fraction| |#2|)) (|:| |deg| (|NonNegativeInteger|))) |#3| |#3|) "\\spad{chvar(f(x,y), p(x,y))} returns \\spad{[g(z,t), q(z,t), c1(z), c2(z), n]} such that under the change of variable \\spad{x = c1(z)},{} \\spad{y = t * c2(z)},{} one gets \\spad{f(x,y) = g(z,t)}. The algebraic relation between \\spad{x} and \\spad{y} is \\spad{p(x, y) = 0}. The algebraic relation between \\spad{z} and \\spad{t} is \\spad{q(z, t) = 0}.")) (|eval| ((|#3| |#3| (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{eval(p(x,y), f(x), g(x))} returns \\spad{p(f(x), y * g(x))}.")) (|goodPoint| ((|#1| |#3| |#3|) "\\spad{goodPoint(p, q)} returns an integer a such that a is neither a pole of \\spad{p(x,y)} nor a branch point of \\spad{q(x,y) = 0}.")) (|rootPoly| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| (|Fraction| |#2|)) (|:| |radicand| |#2|)) (|Fraction| |#2|) (|NonNegativeInteger|)) "\\spad{rootPoly(g, n)} returns \\spad{[m, c, P]} such that \\spad{c * g ** (1/n) = P ** (1/m)} thus if \\spad{y**n = g},{} then \\spad{z**m = P} where \\spad{z = c * y}.")) (|radPoly| (((|Union| (|Record| (|:| |radicand| (|Fraction| |#2|)) (|:| |deg| (|NonNegativeInteger|))) "failed") |#3|) "\\spad{radPoly(p(x, y))} returns \\spad{[c(x), n]} if \\spad{p} is of the form \\spad{y**n - c(x)},{} \"failed\" otherwise.")) (|mkIntegral| (((|Record| (|:| |coef| (|Fraction| |#2|)) (|:| |poly| |#3|)) |#3|) "\\spad{mkIntegral(p(x,y))} returns \\spad{[c(x), q(x,z)]} such that \\spad{z = c * y} is integral. The algebraic relation between \\spad{x} and \\spad{y} is \\spad{p(x, y) = 0}. The algebraic relation between \\spad{x} and \\spad{z} is \\spad{q(x, z) = 0}."))) NIL NIL @@ -564,7 +564,7 @@ NIL ((|constructor| (NIL "Color() specifies a domain of 27 colors provided in the \\Language{} system (the colors mix additively).")) (|color| (($ (|Integer|)) "\\spad{color(i)} returns a color of the indicated hue \\spad{i}.")) (|numberOfHues| (((|PositiveInteger|)) "\\spad{numberOfHues()} returns the number of total hues,{} set in totalHues.")) (|hue| (((|Integer|) $) "\\spad{hue(c)} returns the hue index of the indicated color \\spad{c}.")) (|blue| (($) "\\spad{blue()} returns the position of the blue hue from total hues.")) (|green| (($) "\\spad{green()} returns the position of the green hue from total hues.")) (|yellow| (($) "\\spad{yellow()} returns the position of the yellow hue from total hues.")) (|red| (($) "\\spad{red()} returns the position of the red hue from total hues.")) (+ (($ $ $) "\\spad{c1 + c2} additively mixes the two colors \\spad{c1} and \\spad{c2}.")) (* (($ (|DoubleFloat|) $) "\\spad{s * c},{} returns the color \\spad{c},{} whose weighted shade has been scaled by \\spad{s}.") (($ (|PositiveInteger|) $) "\\spad{s * c},{} returns the color \\spad{c},{} whose weighted shade has been scaled by \\spad{s}."))) NIL NIL -(-159 R -2191) +(-159 R -1985) ((|constructor| (NIL "Provides combinatorial functions over an integral domain.")) (|ipow| ((|#2| (|List| |#2|)) "\\spad{ipow(l)} should be local but conditional.")) (|iidprod| ((|#2| (|List| |#2|)) "\\spad{iidprod(l)} should be local but conditional.")) (|iidsum| ((|#2| (|List| |#2|)) "\\spad{iidsum(l)} should be local but conditional.")) (|iipow| ((|#2| (|List| |#2|)) "\\spad{iipow(l)} should be local but conditional.")) (|iiperm| ((|#2| (|List| |#2|)) "\\spad{iiperm(l)} should be local but conditional.")) (|iibinom| ((|#2| (|List| |#2|)) "\\spad{iibinom(l)} should be local but conditional.")) (|iifact| ((|#2| |#2|) "\\spad{iifact(x)} should be local but conditional.")) (|product| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{product(f(n), n = a..b)} returns \\spad{f}(a) * ... * \\spad{f}(\\spad{b}) as a formal product.") ((|#2| |#2| (|Symbol|)) "\\spad{product(f(n), n)} returns the formal product \\spad{P}(\\spad{n}) which verifies \\spad{P}(\\spad{n+1})\\spad{/P}(\\spad{n}) = \\spad{f}(\\spad{n}).")) (|summation| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{summation(f(n), n = a..b)} returns \\spad{f}(a) + ... + \\spad{f}(\\spad{b}) as a formal sum.") ((|#2| |#2| (|Symbol|)) "\\spad{summation(f(n), n)} returns the formal sum \\spad{S}(\\spad{n}) which verifies \\spad{S}(\\spad{n+1}) - \\spad{S}(\\spad{n}) = \\spad{f}(\\spad{n}).")) (|factorials| ((|#2| |#2| (|Symbol|)) "\\spad{factorials(f, x)} rewrites the permutations and binomials in \\spad{f} involving \\spad{x} in terms of factorials.") ((|#2| |#2|) "\\spad{factorials(f)} rewrites the permutations and binomials in \\spad{f} in terms of factorials.")) (|factorial| ((|#2| |#2|) "\\spad{factorial(n)} returns the factorial of \\spad{n},{} \\spadignore{i.e.} \\spad{n!}.")) (|permutation| ((|#2| |#2| |#2|) "\\spad{permutation(n, r)} returns the number of permutations of \\spad{n} objects taken \\spad{r} at a time,{} \\spadignore{i.e.} \\spad{n!/}(\\spad{n}-\\spad{r})!.")) (|binomial| ((|#2| |#2| |#2|) "\\spad{binomial(n, r)} returns the number of subsets of \\spad{r} objects taken among \\spad{n} objects,{} \\spadignore{i.e.} \\spad{n!/}(\\spad{r!} * (\\spad{n}-\\spad{r})!).")) (** ((|#2| |#2| |#2|) "\\spad{a ** b} is the formal exponential a**b.")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\spad{F}; error if \\spad{op} is not a combinatorial operator.")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} is \\spad{true} if \\spad{op} is a combinatorial operator."))) NIL NIL @@ -598,7 +598,7 @@ NIL ((|HasCategory| |#2| (QUOTE (-932))) (|HasCategory| |#2| (QUOTE (-558))) (|HasCategory| |#2| (QUOTE (-1027))) (|HasCategory| |#2| (QUOTE (-1227))) (|HasCategory| |#2| (QUOTE (-1085))) (|HasCategory| |#2| (QUOTE (-1047))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#2| (QUOTE (-375))) (|HasAttribute| |#2| (QUOTE -4466)) (|HasAttribute| |#2| (QUOTE -4469)) (|HasCategory| |#2| (QUOTE (-318))) (|HasCategory| |#2| (QUOTE (-569)))) (-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})"))) -((-4463 -3803 (|has| |#1| (-569)) (-12 (|has| |#1| (-318)) (|has| |#1| (-932)))) (-4468 |has| |#1| (-375)) (-4462 |has| |#1| (-375)) (-4466 |has| |#1| (-6 -4466)) (-4469 |has| |#1| (-6 -4469)) (-2712 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) +((-4463 -2811 (|has| |#1| (-569)) (-12 (|has| |#1| (-318)) (|has| |#1| (-932)))) (-4468 |has| |#1| (-375)) (-4462 |has| |#1| (-375)) (-4466 |has| |#1| (-6 -4466)) (-4469 |has| |#1| (-6 -4469)) (-4155 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . 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}."))) -((-4463 -3803 (|has| |#1| (-569)) (-12 (|has| |#1| (-318)) (|has| |#1| (-932)))) (-4468 |has| |#1| (-375)) (-4462 |has| |#1| (-375)) (-4466 |has| |#1| (-6 -4466)) (-4469 |has| |#1| (-6 -4469)) (-2712 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-361))) (-3803 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-361)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-380))) (-3803 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-361)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-361)))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (-3803 (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201)))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))))) (|HasCategory| |#1| (LIST (QUOTE -654) (QUOTE (-577)))) (-3803 (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-375))) (-12 (|HasCategory| |#1| (QUOTE (-361))) (|HasCategory| |#1| (QUOTE (-932))))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-932)))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-932)))) (-12 (|HasCategory| |#1| (QUOTE (-361))) (|HasCategory| |#1| (QUOTE (-932))))) (-3803 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasCategory| |#1| (QUOTE (-1027))) (|HasCategory| |#1| (QUOTE (-1227)))) (|HasCategory| |#1| (QUOTE (-1227))) (|HasCategory| |#1| (QUOTE (-1047))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-3803 (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-361))) (|HasCategory| |#1| (QUOTE (-569)))) (-3803 (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-361)))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -527) (QUOTE (-1201)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -297) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-844))) (|HasCategory| |#1| (QUOTE (-1085))) (-12 (|HasCategory| |#1| (QUOTE (-1085))) (|HasCategory| |#1| (QUOTE (-1227)))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-932))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-375)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-569)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (QUOTE (-238)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#1| (QUOTE (-239))) (-12 (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasAttribute| |#1| (QUOTE -4466)) (|HasAttribute| |#1| (QUOTE -4469)) (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-375)))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201))))) (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-375)))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201))))) (-3803 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-146)))) (-3803 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-361))))) +((-4463 -2811 (|has| |#1| (-569)) (-12 (|has| |#1| (-318)) (|has| |#1| (-932)))) (-4468 |has| |#1| (-375)) (-4462 |has| |#1| (-375)) (-4466 |has| |#1| (-6 -4466)) (-4469 |has| |#1| (-6 -4469)) (-4155 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) +((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-361))) (-2811 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-361)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-380))) (-2811 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-361)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-361)))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (-2811 (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201)))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))))) (|HasCategory| |#1| (LIST (QUOTE -654) (QUOTE (-577)))) (-2811 (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-375))) (-12 (|HasCategory| |#1| (QUOTE (-361))) (|HasCategory| |#1| (QUOTE (-932))))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-932)))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-932)))) (-12 (|HasCategory| |#1| (QUOTE (-361))) (|HasCategory| |#1| (QUOTE (-932))))) (-2811 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasCategory| |#1| (QUOTE (-1027))) (|HasCategory| |#1| (QUOTE (-1227)))) (|HasCategory| |#1| (QUOTE (-1227))) (|HasCategory| |#1| (QUOTE (-1047))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-2811 (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-361))) (|HasCategory| |#1| (QUOTE (-569)))) (-2811 (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-361)))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -527) (QUOTE (-1201)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -297) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-844))) (|HasCategory| |#1| (QUOTE (-1085))) (-12 (|HasCategory| |#1| (QUOTE (-1085))) (|HasCategory| |#1| (QUOTE (-1227)))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-932))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-375)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-569)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (QUOTE (-238)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#1| (QUOTE (-239))) (-12 (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasAttribute| |#1| (QUOTE -4466)) (|HasAttribute| |#1| (QUOTE -4469)) (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-375)))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201))))) (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-375)))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201))))) (-2811 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-146)))) (-2811 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-361))))) (-172 R S CS) ((|constructor| (NIL "This package supports converting complex expressions to patterns")) (|convert| (((|Pattern| |#1|) |#3|) "\\spad{convert(cs)} converts the complex expression \\spad{cs} to a pattern"))) NIL @@ -688,7 +688,7 @@ NIL ((|constructor| (NIL "This domain provides implementations for constructors.")) (|findConstructor| (((|Maybe| $) (|Identifier|)) "\\spad{findConstructor(s)} attempts to find a constructor named \\spad{s}. If successful,{} returns that constructor; otherwise,{} returns \\spad{nothing}."))) NIL NIL -(-190 R -2191) +(-190 R -1985) ((|constructor| (NIL "\\spadtype{ComplexTrigonometricManipulations} provides function that compute the real and imaginary parts of complex functions.")) (|complexForm| (((|Complex| (|Expression| |#1|)) |#2|) "\\spad{complexForm(f)} returns \\spad{[real f, imag f]}.")) (|trigs| ((|#2| |#2|) "\\spad{trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (|real?| (((|Boolean|) |#2|) "\\spad{real?(f)} returns \\spad{true} if \\spad{f = real f}.")) (|imag| (((|Expression| |#1|) |#2|) "\\spad{imag(f)} returns the imaginary part of \\spad{f} where \\spad{f} is a complex function.")) (|real| (((|Expression| |#1|) |#2|) "\\spad{real(f)} returns the real part of \\spad{f} where \\spad{f} is a complex function.")) (|complexElementary| ((|#2| |#2| (|Symbol|)) "\\spad{complexElementary(f, x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.") ((|#2| |#2|) "\\spad{complexElementary(f)} rewrites \\spad{f} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.")) (|complexNormalize| ((|#2| |#2| (|Symbol|)) "\\spad{complexNormalize(f, x)} rewrites \\spad{f} using the least possible number of complex independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{complexNormalize(f)} rewrites \\spad{f} using the least possible number of complex independent kernels."))) NIL NIL @@ -800,23 +800,23 @@ NIL ((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: July 2,{} 2010 Date Last Modified: July 2,{} 2010 Descrption: \\indented{2}{Representation of a dual vector space basis,{} given by symbols.}")) (|dual| (($ (|LinearBasis| |#1|)) "\\spad{dual x} constructs the dual vector of a linear element which is part of a basis."))) NIL NIL -(-218 -2191 UP UPUP R) +(-218 -1985 UP UPUP R) ((|constructor| (NIL "This package provides functions for computing the residues of a function on an algebraic curve.")) (|doubleResultant| ((|#2| |#4| (|Mapping| |#2| |#2|)) "\\spad{doubleResultant(f, ')} returns \\spad{p}(\\spad{x}) whose roots are rational multiples of the residues of \\spad{f} at all its finite poles. Argument ' is the derivation to use."))) NIL NIL -(-219 -2191 FP) +(-219 -1985 FP) ((|constructor| (NIL "Package for the factorization of a univariate polynomial with coefficients in a finite field. The algorithm used is the \"distinct degree\" algorithm of Cantor-Zassenhaus,{} modified to use trace instead of the norm and a table for computing Frobenius as suggested by Naudin and Quitte .")) (|irreducible?| (((|Boolean|) |#2|) "\\spad{irreducible?(p)} tests whether the polynomial \\spad{p} is irreducible.")) (|tracePowMod| ((|#2| |#2| (|NonNegativeInteger|) |#2|) "\\spad{tracePowMod(u,k,v)} produces the sum of \\spad{u**(q**i)} for \\spad{i} running and \\spad{q=} size \\spad{F}")) (|trace2PowMod| ((|#2| |#2| (|NonNegativeInteger|) |#2|) "\\spad{trace2PowMod(u,k,v)} produces the sum of \\spad{u**(2**i)} for \\spad{i} running from 1 to \\spad{k} all computed modulo the polynomial \\spad{v}.")) (|exptMod| ((|#2| |#2| (|NonNegativeInteger|) |#2|) "\\spad{exptMod(u,k,v)} raises the polynomial \\spad{u} to the \\spad{k}th power modulo the polynomial \\spad{v}.")) (|separateFactors| (((|List| |#2|) (|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |prod| |#2|)))) "\\spad{separateFactors(lfact)} takes the list produced by \\spadfunFrom{separateDegrees}{DistinctDegreeFactorization} and produces the complete list of factors.")) (|separateDegrees| (((|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |prod| |#2|))) |#2|) "\\spad{separateDegrees(p)} splits the square free polynomial \\spad{p} into factors each of which is a product of irreducibles of the same degree.")) (|distdfact| (((|Record| (|:| |cont| |#1|) (|:| |factors| (|List| (|Record| (|:| |irr| |#2|) (|:| |pow| (|Integer|)))))) |#2| (|Boolean|)) "\\spad{distdfact(p,sqfrflag)} produces the complete factorization of the polynomial \\spad{p} returning an internal data structure. If argument \\spad{sqfrflag} is \\spad{true},{} the polynomial is assumed square free.")) (|factorSquareFree| (((|Factored| |#2|) |#2|) "\\spad{factorSquareFree(p)} produces the complete factorization of the square free polynomial \\spad{p}.")) (|factor| (((|Factored| |#2|) |#2|) "\\spad{factor(p)} produces the complete factorization of the polynomial \\spad{p}."))) NIL NIL (-220) ((|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."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| (-577) (QUOTE (-932))) (|HasCategory| (-577) (LIST (QUOTE -1063) (QUOTE (-1201)))) (|HasCategory| (-577) (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-148))) (|HasCategory| (-577) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| (-577) (QUOTE (-1047))) (|HasCategory| (-577) (QUOTE (-836))) (|HasCategory| (-577) (QUOTE (-865))) (-3803 (|HasCategory| (-577) (QUOTE (-836))) (|HasCategory| (-577) (QUOTE (-865)))) (|HasCategory| (-577) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-1177))) (|HasCategory| (-577) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| (-577) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| (-577) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| (-577) (QUOTE (-238))) (|HasCategory| (-577) (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| (-577) (QUOTE (-239))) (|HasCategory| (-577) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-577) (LIST (QUOTE -527) (QUOTE (-1201)) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -320) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -297) (QUOTE (-577)) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-318))) (|HasCategory| (-577) (QUOTE (-558))) (|HasCategory| (-577) (LIST (QUOTE -654) (QUOTE (-577)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-932)))) (-3803 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-932)))) (|HasCategory| (-577) (QUOTE (-146))))) +((|HasCategory| (-577) (QUOTE (-932))) (|HasCategory| (-577) (LIST (QUOTE -1063) (QUOTE (-1201)))) (|HasCategory| (-577) (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-148))) (|HasCategory| (-577) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| (-577) (QUOTE (-1047))) (|HasCategory| (-577) (QUOTE (-836))) (|HasCategory| (-577) (QUOTE (-865))) (-2811 (|HasCategory| (-577) (QUOTE (-836))) (|HasCategory| (-577) (QUOTE (-865)))) (|HasCategory| (-577) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-1177))) (|HasCategory| (-577) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| (-577) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| (-577) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| (-577) (QUOTE (-238))) (|HasCategory| (-577) (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| (-577) (QUOTE (-239))) (|HasCategory| (-577) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-577) (LIST (QUOTE -527) (QUOTE (-1201)) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -320) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -297) (QUOTE (-577)) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-318))) (|HasCategory| (-577) (QUOTE (-558))) (|HasCategory| (-577) (LIST (QUOTE -654) (QUOTE (-577)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-932)))) (-2811 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-932)))) (|HasCategory| (-577) (QUOTE (-146))))) (-221) ((|constructor| (NIL "This domain represents the syntax of a definition.")) (|body| (((|SpadAst|) $) "\\spad{body(d)} returns the right hand side of the definition \\spad{`d'}.")) (|signature| (((|Signature|) $) "\\spad{signature(d)} returns the signature of the operation being defined. Note that this list may be partial in that it contains only the types actually specified in the definition.")) (|head| (((|HeadAst|) $) "\\spad{head(d)} returns the head of the definition \\spad{`d'}. This is a list of identifiers starting with the name of the operation followed by the name of the parameters,{} if any."))) NIL NIL -(-222 R -2191) +(-222 R -1985) ((|constructor| (NIL "\\spadtype{ElementaryFunctionDefiniteIntegration} provides functions to compute definite integrals of elementary functions.")) (|innerint| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{innerint(f, x, a, b, ignore?)} should be local but conditional")) (|integrate| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|)) (|String|)) "\\spad{integrate(f, x = a..b, \"noPole\")} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. If it is not possible to check whether \\spad{f} has a pole for \\spad{x} between a and \\spad{b} (because of parameters),{} then this function will assume that \\spad{f} has no such pole. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b} or if the last argument is not \"noPole\".") (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|))) "\\spad{integrate(f, x = a..b)} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b}."))) NIL NIL @@ -831,18 +831,18 @@ NIL (-225 S) ((|constructor| (NIL "Linked list implementation of a Dequeue")) (|dequeue| (($ (|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}."))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) (-226 |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}."))) ((-4467 . T)) NIL -(-227 R -2191) +(-227 R -1985) ((|constructor| (NIL "\\spadtype{DefiniteIntegrationTools} provides common tools used by the definite integration of both rational and elementary functions.")) (|checkForZero| (((|Union| (|Boolean|) "failed") (|SparseUnivariatePolynomial| |#2|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{checkForZero(p, a, b, incl?)} is \\spad{true} if \\spad{p} has a zero between a and \\spad{b},{} \\spad{false} otherwise,{} \"failed\" if this cannot be determined. Check for a and \\spad{b} inclusive if incl? is \\spad{true},{} exclusive otherwise.") (((|Union| (|Boolean|) "failed") (|Polynomial| |#1|) (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{checkForZero(p, x, a, b, incl?)} is \\spad{true} if \\spad{p} has a zero for \\spad{x} between a and \\spad{b},{} \\spad{false} otherwise,{} \"failed\" if this cannot be determined. Check for a and \\spad{b} inclusive if incl? is \\spad{true},{} exclusive otherwise.")) (|computeInt| (((|Union| (|OrderedCompletion| |#2|) "failed") (|Kernel| |#2|) |#2| (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{computeInt(x, g, a, b, eval?)} returns the integral of \\spad{f} for \\spad{x} between a and \\spad{b},{} assuming that \\spad{g} is an indefinite integral of \\spad{f} and \\spad{f} has no pole between a and \\spad{b}. If \\spad{eval?} is \\spad{true},{} then \\spad{g} can be evaluated safely at \\spad{a} and \\spad{b},{} provided that they are finite values. Otherwise,{} limits must be computed.")) (|ignore?| (((|Boolean|) (|String|)) "\\spad{ignore?(s)} is \\spad{true} if \\spad{s} is the string that tells the integrator to assume that the function has no pole in the integration interval."))) NIL NIL (-228) ((|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}."))) -((-2705 . T) (-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) +((-4142 . T) (-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) NIL (-229) ((|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)}.}"))) @@ -851,7 +851,7 @@ NIL (-230 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}"))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-569))) (|HasAttribute| |#1| (QUOTE (-4472 "*"))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-569))) (|HasAttribute| |#1| (QUOTE (-4472 "*"))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) (-231 A S) ((|constructor| (NIL "A dictionary is an aggregate in which entries can be inserted,{} searched for and removed. Duplicates are thrown away on insertion. This category models the usual notion of dictionary which involves large amounts of data where copying is impractical. Principal operations are thus destructive (non-copying) ones."))) NIL @@ -900,22 +900,22 @@ NIL ((|constructor| (NIL "any solution of a homogeneous linear Diophantine equation can be represented as a sum of minimal solutions,{} which form a \"basis\" (a minimal solution cannot be represented as a nontrivial sum of solutions) in the case of an inhomogeneous linear Diophantine equation,{} each solution is the sum of a inhomogeneous solution and any number of homogeneous solutions therefore,{} it suffices to compute two sets: \\indented{3}{1. all minimal inhomogeneous solutions} \\indented{3}{2. all minimal homogeneous solutions} the algorithm implemented is a completion procedure,{} which enumerates all solutions in a recursive depth-first-search it can be seen as finding monotone paths in a graph for more details see Reference")) (|dioSolve| (((|Record| (|:| |varOrder| (|List| (|Symbol|))) (|:| |inhom| (|Union| (|List| (|Vector| (|NonNegativeInteger|))) "failed")) (|:| |hom| (|List| (|Vector| (|NonNegativeInteger|))))) (|Equation| (|Polynomial| (|Integer|)))) "\\spad{dioSolve(u)} computes a basis of all minimal solutions for linear homogeneous Diophantine equation \\spad{u},{} then all minimal solutions of inhomogeneous equation"))) NIL NIL -(-243 S -2593 R) +(-243 S -3985 R) ((|constructor| (NIL "\\indented{2}{This category represents a finite cartesian product of a given type.} Many categorical properties are preserved under this construction.")) (|dot| ((|#3| $ $) "\\spad{dot(x,y)} computes the inner product of the vectors \\spad{x} and \\spad{y}.")) (|unitVector| (($ (|PositiveInteger|)) "\\spad{unitVector(n)} produces a vector with 1 in position \\spad{n} and zero elsewhere.")) (|directProduct| (($ (|Vector| |#3|)) "\\spad{directProduct(v)} converts the vector \\spad{v} to become a direct product. Error: if the length of \\spad{v} is different from dim.")) (|finiteAggregate| ((|attribute|) "attribute to indicate an aggregate of finite size"))) NIL ((|HasCategory| |#3| (QUOTE (-375))) (|HasCategory| |#3| (QUOTE (-809))) (|HasCategory| |#3| (QUOTE (-865))) (|HasAttribute| |#3| (QUOTE -4467)) (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-380))) (|HasCategory| |#3| (QUOTE (-742))) (|HasCategory| |#3| (QUOTE (-21))) (|HasCategory| |#3| (QUOTE (-23))) (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (QUOTE (-1074))) (|HasCategory| |#3| (QUOTE (-1125)))) -(-244 -2593 R) +(-244 -3985 R) ((|constructor| (NIL "\\indented{2}{This category represents a finite cartesian product of a given type.} Many categorical properties are preserved under this construction.")) (|dot| ((|#2| $ $) "\\spad{dot(x,y)} computes the inner product of the vectors \\spad{x} and \\spad{y}.")) (|unitVector| (($ (|PositiveInteger|)) "\\spad{unitVector(n)} produces a vector with 1 in position \\spad{n} and zero elsewhere.")) (|directProduct| (($ (|Vector| |#2|)) "\\spad{directProduct(v)} converts the vector \\spad{v} to become a direct product. Error: if the length of \\spad{v} is different from dim.")) (|finiteAggregate| ((|attribute|) "attribute to indicate an aggregate of finite size"))) ((-4464 |has| |#2| (-1074)) (-4465 |has| |#2| (-1074)) (-4467 |has| |#2| (-6 -4467)) (-4470 . T)) NIL -(-245 -2593 A B) +(-245 -3985 A B) ((|constructor| (NIL "\\indented{2}{This package provides operations which all take as arguments} direct products of elements of some type \\spad{A} and functions from \\spad{A} to another type \\spad{B}. The operations all iterate over their vector argument and either return a value of type \\spad{B} or a direct product over \\spad{B}.")) (|map| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2|) (|DirectProduct| |#1| |#2|)) "\\spad{map(f, v)} applies the function \\spad{f} to every element of the vector \\spad{v} producing a new vector containing the values.")) (|reduce| ((|#3| (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{reduce(func,vec,ident)} combines the elements in \\spad{vec} using the binary function \\spad{func}. Argument \\spad{ident} is returned if the vector is empty.")) (|scan| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{scan(func,vec,ident)} creates a new vector whose elements are the result of applying reduce to the binary function \\spad{func},{} increasing initial subsequences of the vector \\spad{vec},{} and the element \\spad{ident}."))) NIL NIL -(-246 -2593 R) +(-246 -3985 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."))) ((-4464 |has| |#2| (-1074)) (-4465 |has| |#2| (-1074)) (-4467 |has| |#2| (-6 -4467)) (-4470 . 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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 @@ -935,7 +935,7 @@ NIL (-251 S) ((|constructor| (NIL "This domain provides some nice functions on lists")) (|elt| (((|NonNegativeInteger|) $ "count") "\\axiom{\\spad{l}.\"count\"} returns the number of elements in \\axiom{\\spad{l}}.") (($ $ "sort") "\\axiom{\\spad{l}.sort} returns \\axiom{\\spad{l}} with elements sorted. Note: \\axiom{\\spad{l}.sort = sort(\\spad{l})}") (($ $ "unique") "\\axiom{\\spad{l}.unique} returns \\axiom{\\spad{l}} with duplicates removed. Note: \\axiom{\\spad{l}.unique = removeDuplicates(\\spad{l})}.")) (|datalist| (($ (|List| |#1|)) "\\spad{datalist(l)} creates a datalist from \\spad{l}"))) ((-4471 . T) (-4470 . 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(|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 @@ -947,7 +947,7 @@ NIL (-254 |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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(|HasCategory| |#3| (QUOTE (-1074))) (-12 (|HasCategory| |#3| (QUOTE (-1125))) (|HasCategory| |#3| (LIST (QUOTE -1063) (QUOTE (-577)))))) (-2811 (-12 (|HasCategory| |#3| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#3| (LIST (QUOTE -1063) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (QUOTE (-21))) (|HasCategory| |#3| (LIST (QUOTE -1063) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (LIST (QUOTE -1063) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (QUOTE (-239))) (|HasCategory| |#3| (LIST (QUOTE -1063) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (QUOTE (-375))) (|HasCategory| |#3| (LIST (QUOTE -1063) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (QUOTE (-380))) (|HasCategory| |#3| (LIST (QUOTE -1063) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (QUOTE (-742))) (|HasCategory| |#3| (LIST (QUOTE -1063) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (QUOTE (-809))) (|HasCategory| |#3| (LIST (QUOTE -1063) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (QUOTE (-865))) (|HasCategory| |#3| (LIST (QUOTE -1063) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (QUOTE (-1074))) (|HasCategory| |#3| (LIST (QUOTE -1063) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (QUOTE (-1125))) (|HasCategory| |#3| (LIST (QUOTE -1063) (QUOTE (-577)))))) (|HasCategory| (-577) (QUOTE (-865))) (-12 (|HasCategory| |#3| (QUOTE (-1074))) (|HasCategory| |#3| (LIST (QUOTE -654) (QUOTE (-577))))) (-2811 (-12 (|HasCategory| |#3| (QUOTE (-1074))) (|HasCategory| |#3| (LIST (QUOTE -921) (QUOTE (-1201))))) (-12 (|HasCategory| |#3| (QUOTE (-1074))) (|HasCategory| |#3| (LIST (QUOTE -923) (QUOTE (-1201)))))) (-2811 (-12 (|HasCategory| |#3| (QUOTE (-239))) (|HasCategory| |#3| (QUOTE (-1074)))) (-12 (|HasCategory| |#3| (QUOTE (-238))) (|HasCategory| |#3| (QUOTE (-1074))))) (-12 (|HasCategory| |#3| (QUOTE (-1125))) (|HasCategory| |#3| (LIST (QUOTE -1063) (QUOTE (-577))))) (-2811 (|HasCategory| |#3| (QUOTE (-1074))) (-12 (|HasCategory| |#3| (QUOTE (-1125))) (|HasCategory| |#3| (LIST (QUOTE -1063) (QUOTE (-577)))))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#3| (QUOTE (-1125)))) (-2811 (|HasAttribute| |#3| (QUOTE -4467)) (-12 (|HasCategory| |#3| (QUOTE (-239))) (|HasCategory| |#3| (QUOTE (-1074)))) (-12 (|HasCategory| |#3| (QUOTE (-1074))) (|HasCategory| |#3| (LIST (QUOTE -921) (QUOTE (-1201)))))) (-12 (|HasCategory| |#3| (QUOTE (-238))) (|HasCategory| |#3| (QUOTE (-1074)))) (-12 (|HasCategory| |#3| (QUOTE (-1074))) (|HasCategory| |#3| (LIST (QUOTE -923) (QUOTE (-1201))))) (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-21))) (|HasCategory| |#3| (QUOTE (-23))) (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#3| (QUOTE (-102))) (-12 (|HasCategory| |#3| (QUOTE (-1125))) (|HasCategory| |#3| (LIST (QUOTE -320) (|devaluate| |#3|))))) (-260 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 @@ -1027,7 +1027,7 @@ NIL (-274 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"))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4468 |has| |#1| (-6 -4468)) (-4465 . T) (-4464 . T) (-4467 . T)) -((|HasCategory| |#1| (QUOTE (-932))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-3803 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-3803 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#3| (LIST (QUOTE -905) (QUOTE (-391))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#3| (LIST (QUOTE -905) (QUOTE (-577))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#3| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#3| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#3| (LIST (QUOTE -627) (QUOTE (-549))))) (|HasCategory| |#1| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (-3803 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasAttribute| |#1| (QUOTE -4468)) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (-3803 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-932))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-2811 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-2811 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#3| (LIST (QUOTE -905) (QUOTE (-391))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#3| (LIST (QUOTE -905) (QUOTE (-577))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#3| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#3| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#3| (LIST (QUOTE -627) (QUOTE (-549))))) (|HasCategory| |#1| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (-2811 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasAttribute| |#1| (QUOTE -4468)) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (-2811 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-146))))) (-275 A S) ((|constructor| (NIL "\\spadtype{DifferentialVariableCategory} constructs the set of derivatives of a given set of (ordinary) differential indeterminates. If \\spad{x},{}...,{}\\spad{y} is an ordered set of differential indeterminates,{} and the prime notation is used for differentiation,{} then the set of derivatives (including zero-th order) of the differential indeterminates is \\spad{x},{}\\spad{x'},{}\\spad{x''},{}...,{} \\spad{y},{}\\spad{y'},{}\\spad{y''},{}... (Note: in the interpreter,{} the \\spad{n}-th derivative of \\spad{y} is displayed as \\spad{y} with a subscript \\spad{n}.) This set is viewed as a set of algebraic indeterminates,{} totally ordered in a way compatible with differentiation and the given order on the differential indeterminates. Such a total order is called a ranking of the differential indeterminates. \\blankline A domain in this category is needed to construct a differential polynomial domain. Differential polynomials are ordered by a ranking on the derivatives,{} and by an order (extending the ranking) on on the set of differential monomials. One may thus associate a domain in this category with a ranking of the differential indeterminates,{} just as one associates a domain in the category \\spadtype{OrderedAbelianMonoidSup} with an ordering of the set of monomials in a set of algebraic indeterminates. The ranking is specified through the binary relation \\spadfun{<}. For example,{} one may define one derivative to be less than another by lexicographically comparing first the \\spadfun{order},{} then the given order of the differential indeterminates appearing in the derivatives. This is the default implementation. \\blankline The notion of weight generalizes that of degree. A polynomial domain may be made into a graded ring if a weight function is given on the set of indeterminates,{} Very often,{} a grading is the first step in ordering the set of monomials. For differential polynomial domains,{} this constructor provides a function \\spadfun{weight},{} which allows the assignment of a non-negative number to each derivative of a differential indeterminate. For example,{} one may define the weight of a derivative to be simply its \\spadfun{order} (this is the default assignment). This weight function can then be extended to the set of all differential polynomials,{} providing a graded ring structure.")) (|coerce| (($ |#2|) "\\spad{coerce(s)} returns \\spad{s},{} viewed as the zero-th order derivative of \\spad{s}.")) (|weight| (((|NonNegativeInteger|) $) "\\spad{weight(v)} returns the weight of the derivative \\spad{v}.")) (|variable| ((|#2| $) "\\spad{variable(v)} returns \\spad{s} if \\spad{v} is any derivative of the differential indeterminate \\spad{s}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(v)} returns \\spad{n} if \\spad{v} is the \\spad{n}-th derivative of any differential indeterminate.")) (|makeVariable| (($ |#2| (|NonNegativeInteger|)) "\\spad{makeVariable(s, n)} returns the \\spad{n}-th derivative of a differential indeterminate \\spad{s} as an algebraic indeterminate."))) NIL @@ -1072,11 +1072,11 @@ NIL ((|constructor| (NIL "A domain used in the construction of the exterior algebra on a set \\spad{X} over a ring \\spad{R}. This domain represents the set of all ordered subsets of the set \\spad{X},{} assumed to be in correspondance with {1,{}2,{}3,{} ...}. The ordered subsets are themselves ordered lexicographically and are in bijective correspondance with an ordered basis of the exterior algebra. In this domain we are dealing strictly with the exponents of basis elements which can only be 0 or 1. \\blankline The multiplicative identity element of the exterior algebra corresponds to the empty subset of \\spad{X}. A coerce from List Integer to an ordered basis element is provided to allow the convenient input of expressions. Another exported function forgets the ordered structure and simply returns the list corresponding to an ordered subset.")) (|Nul| (($ (|NonNegativeInteger|)) "\\spad{Nul()} gives the basis element 1 for the algebra generated by \\spad{n} generators.")) (|exponents| (((|List| (|Integer|)) $) "\\spad{exponents(x)} converts a domain element into a list of zeros and ones corresponding to the exponents in the basis element that \\spad{x} represents.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(x)} gives the numbers of 1\\spad{'s} in \\spad{x},{} \\spadignore{i.e.} the number of non-zero exponents in the basis element that \\spad{x} represents.")) (|coerce| (($ (|List| (|Integer|))) "\\spad{coerce(l)} converts a list of 0\\spad{'s} and 1\\spad{'s} into a basis element,{} where 1 (respectively 0) designates that the variable of the corresponding index of \\spad{l} is (respectively,{} is not) present. Error: if an element of \\spad{l} is not 0 or 1."))) NIL NIL -(-286 R -2191) +(-286 R -1985) ((|constructor| (NIL "Provides elementary functions over an integral domain.")) (|localReal?| (((|Boolean|) |#2|) "\\spad{localReal?(x)} should be local but conditional")) (|specialTrigs| (((|Union| |#2| "failed") |#2| (|List| (|Record| (|:| |func| |#2|) (|:| |pole| (|Boolean|))))) "\\spad{specialTrigs(x,l)} should be local but conditional")) (|iiacsch| ((|#2| |#2|) "\\spad{iiacsch(x)} should be local but conditional")) (|iiasech| ((|#2| |#2|) "\\spad{iiasech(x)} should be local but conditional")) (|iiacoth| ((|#2| |#2|) "\\spad{iiacoth(x)} should be local but conditional")) (|iiatanh| ((|#2| |#2|) "\\spad{iiatanh(x)} should be local but conditional")) (|iiacosh| ((|#2| |#2|) "\\spad{iiacosh(x)} should be local but conditional")) (|iiasinh| ((|#2| |#2|) "\\spad{iiasinh(x)} should be local but conditional")) (|iicsch| ((|#2| |#2|) "\\spad{iicsch(x)} should be local but conditional")) (|iisech| ((|#2| |#2|) "\\spad{iisech(x)} should be local but conditional")) (|iicoth| ((|#2| |#2|) "\\spad{iicoth(x)} should be local but conditional")) (|iitanh| ((|#2| |#2|) "\\spad{iitanh(x)} should be local but conditional")) (|iicosh| ((|#2| |#2|) "\\spad{iicosh(x)} should be local but conditional")) (|iisinh| ((|#2| |#2|) "\\spad{iisinh(x)} should be local but conditional")) (|iiacsc| ((|#2| |#2|) "\\spad{iiacsc(x)} should be local but conditional")) (|iiasec| ((|#2| |#2|) "\\spad{iiasec(x)} should be local but conditional")) (|iiacot| ((|#2| |#2|) "\\spad{iiacot(x)} should be local but conditional")) (|iiatan| ((|#2| |#2|) "\\spad{iiatan(x)} should be local but conditional")) (|iiacos| ((|#2| |#2|) "\\spad{iiacos(x)} should be local but conditional")) (|iiasin| ((|#2| |#2|) "\\spad{iiasin(x)} should be local but conditional")) (|iicsc| ((|#2| |#2|) "\\spad{iicsc(x)} should be local but conditional")) (|iisec| ((|#2| |#2|) "\\spad{iisec(x)} should be local but conditional")) (|iicot| ((|#2| |#2|) "\\spad{iicot(x)} should be local but conditional")) (|iitan| ((|#2| |#2|) "\\spad{iitan(x)} should be local but conditional")) (|iicos| ((|#2| |#2|) "\\spad{iicos(x)} should be local but conditional")) (|iisin| ((|#2| |#2|) "\\spad{iisin(x)} should be local but conditional")) (|iilog| ((|#2| |#2|) "\\spad{iilog(x)} should be local but conditional")) (|iiexp| ((|#2| |#2|) "\\spad{iiexp(x)} should be local but conditional")) (|iisqrt3| ((|#2|) "\\spad{iisqrt3()} should be local but conditional")) (|iisqrt2| ((|#2|) "\\spad{iisqrt2()} should be local but conditional")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(p)} returns an elementary operator with the same symbol as \\spad{p}")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(p)} returns \\spad{true} if operator \\spad{p} is elementary")) (|pi| ((|#2|) "\\spad{pi()} returns the \\spad{pi} operator")) (|acsch| ((|#2| |#2|) "\\spad{acsch(x)} applies the inverse hyperbolic cosecant operator to \\spad{x}")) (|asech| ((|#2| |#2|) "\\spad{asech(x)} applies the inverse hyperbolic secant operator to \\spad{x}")) (|acoth| ((|#2| |#2|) "\\spad{acoth(x)} applies the inverse hyperbolic cotangent operator to \\spad{x}")) (|atanh| ((|#2| |#2|) "\\spad{atanh(x)} applies the inverse hyperbolic tangent operator to \\spad{x}")) (|acosh| ((|#2| |#2|) "\\spad{acosh(x)} applies the inverse hyperbolic cosine operator to \\spad{x}")) (|asinh| ((|#2| |#2|) "\\spad{asinh(x)} applies the inverse hyperbolic sine operator to \\spad{x}")) (|csch| ((|#2| |#2|) "\\spad{csch(x)} applies the hyperbolic cosecant operator to \\spad{x}")) (|sech| ((|#2| |#2|) "\\spad{sech(x)} applies the hyperbolic secant operator to \\spad{x}")) (|coth| ((|#2| |#2|) "\\spad{coth(x)} applies the hyperbolic cotangent operator to \\spad{x}")) (|tanh| ((|#2| |#2|) "\\spad{tanh(x)} applies the hyperbolic tangent operator to \\spad{x}")) (|cosh| ((|#2| |#2|) "\\spad{cosh(x)} applies the hyperbolic cosine operator to \\spad{x}")) (|sinh| ((|#2| |#2|) "\\spad{sinh(x)} applies the hyperbolic sine operator to \\spad{x}")) (|acsc| ((|#2| |#2|) "\\spad{acsc(x)} applies the inverse cosecant operator to \\spad{x}")) (|asec| ((|#2| |#2|) "\\spad{asec(x)} applies the inverse secant operator to \\spad{x}")) (|acot| ((|#2| |#2|) "\\spad{acot(x)} applies the inverse cotangent operator to \\spad{x}")) (|atan| ((|#2| |#2|) "\\spad{atan(x)} applies the inverse tangent operator to \\spad{x}")) (|acos| ((|#2| |#2|) "\\spad{acos(x)} applies the inverse cosine operator to \\spad{x}")) (|asin| ((|#2| |#2|) "\\spad{asin(x)} applies the inverse sine operator to \\spad{x}")) (|csc| ((|#2| |#2|) "\\spad{csc(x)} applies the cosecant operator to \\spad{x}")) (|sec| ((|#2| |#2|) "\\spad{sec(x)} applies the secant operator to \\spad{x}")) (|cot| ((|#2| |#2|) "\\spad{cot(x)} applies the cotangent operator to \\spad{x}")) (|tan| ((|#2| |#2|) "\\spad{tan(x)} applies the tangent operator to \\spad{x}")) (|cos| ((|#2| |#2|) "\\spad{cos(x)} applies the cosine operator to \\spad{x}")) (|sin| ((|#2| |#2|) "\\spad{sin(x)} applies the sine operator to \\spad{x}")) (|log| ((|#2| |#2|) "\\spad{log(x)} applies the logarithm operator to \\spad{x}")) (|exp| ((|#2| |#2|) "\\spad{exp(x)} applies the exponential operator to \\spad{x}"))) NIL NIL -(-287 R -2191) +(-287 R -1985) ((|constructor| (NIL "ElementaryFunctionStructurePackage provides functions to test the algebraic independence of various elementary functions,{} using the Risch structure theorem (real and complex versions). It also provides transformations on elementary functions which are not considered simplifications.")) (|tanQ| ((|#2| (|Fraction| (|Integer|)) |#2|) "\\spad{tanQ(q,a)} is a local function with a conditional implementation.")) (|rootNormalize| ((|#2| |#2| (|Kernel| |#2|)) "\\spad{rootNormalize(f, k)} returns \\spad{f} rewriting either \\spad{k} which must be an \\spad{n}th-root in terms of radicals already in \\spad{f},{} or some radicals in \\spad{f} in terms of \\spad{k}.")) (|validExponential| (((|Union| |#2| "failed") (|List| (|Kernel| |#2|)) |#2| (|Symbol|)) "\\spad{validExponential([k1,...,kn],f,x)} returns \\spad{g} if \\spad{exp(f)=g} and \\spad{g} involves only \\spad{k1...kn},{} and \"failed\" otherwise.")) (|realElementary| ((|#2| |#2| (|Symbol|)) "\\spad{realElementary(f,x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 4 fundamental real transcendental elementary functions: \\spad{log, exp, tan, atan}.") ((|#2| |#2|) "\\spad{realElementary(f)} rewrites \\spad{f} in terms of the 4 fundamental real transcendental elementary functions: \\spad{log, exp, tan, atan}.")) (|rischNormalize| (((|Record| (|:| |func| |#2|) (|:| |kers| (|List| (|Kernel| |#2|))) (|:| |vals| (|List| |#2|))) |#2| (|Symbol|)) "\\spad{rischNormalize(f, x)} returns \\spad{[g, [k1,...,kn], [h1,...,hn]]} such that \\spad{g = normalize(f, x)} and each \\spad{ki} was rewritten as \\spad{hi} during the normalization.")) (|normalize| ((|#2| |#2| (|Symbol|)) "\\spad{normalize(f, x)} rewrites \\spad{f} using the least possible number of real algebraically independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{normalize(f)} rewrites \\spad{f} using the least possible number of real algebraically independent kernels."))) NIL NIL @@ -1128,7 +1128,7 @@ 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 -(-300 S R |Mod| -1696 -1942 |exactQuo|) +(-300 S R |Mod| -3222 -3955 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{ModularRing},{} \\spadtype{ModularField}")) (|inv| (($ $) "\\spad{inv(x)} \\undocumented")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} \\undocumented")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,y)} \\undocumented")) (|reduce| (($ |#2| |#3|) "\\spad{reduce(r,m)} \\undocumented")) (|coerce| ((|#2| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#3| $) "\\spad{modulus(x)} \\undocumented"))) ((-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) NIL @@ -1150,21 +1150,21 @@ NIL NIL (-305 S) ((|constructor| (NIL "Equations as mathematical objects. All properties of the basis domain,{} \\spadignore{e.g.} being an abelian group are carried over the equation domain,{} by performing the structural operations on the left and on the right hand side.")) (|subst| (($ $ $) "\\spad{subst(eq1,eq2)} substitutes \\spad{eq2} into both sides of \\spad{eq1} the \\spad{lhs} of \\spad{eq2} should be a kernel")) (|inv| (($ $) "\\spad{inv(x)} returns the multiplicative inverse of \\spad{x}.")) (/ (($ $ $) "\\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."))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2350) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2911) (|devaluate| |#2|)))))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-1125)))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1125)))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -627) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#2| (QUOTE (-1125))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4323) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2438) (|devaluate| |#2|)))))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-1125)))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1125)))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -627) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#2| (QUOTE (-1125))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-102)))) (-307) ((|constructor| (NIL "ErrorFunctions implements error functions callable from the system interpreter. Typically,{} these functions would be called in user functions. The simple forms of the functions take one argument which is either a string (an error message) or a list of strings which all together make up a message. The list can contain formatting codes (see below). The more sophisticated versions takes two arguments where the first argument is the name of the function from which the error was invoked and the second argument is either a string or a list of strings,{} as above. When you use the one argument version in an interpreter function,{} the system will automatically insert the name of the function as the new first argument. Thus in the user interpreter function \\indented{2}{\\spad{f x == if x < 0 then error \"negative argument\" else x}} the call to error will actually be of the form \\indented{2}{\\spad{error(\"f\",\"negative argument\")}} because the interpreter will have created a new first argument. \\blankline Formatting codes: error messages may contain the following formatting codes (they should either start or end a string or else have blanks around them): \\indented{3}{\\spad{\\%l}\\space{6}start a new line} \\indented{3}{\\spad{\\%b}\\space{6}start printing in a bold font (where available)} \\indented{3}{\\spad{\\%d}\\space{6}stop\\space{2}printing in a bold font (where available)} \\indented{3}{\\spad{ \\%ceon}\\space{2}start centering message lines} \\indented{3}{\\spad{\\%ceoff}\\space{2}stop\\space{2}centering message lines} \\indented{3}{\\spad{\\%rjon}\\space{3}start displaying lines \"ragged left\"} \\indented{3}{\\spad{\\%rjoff}\\space{2}stop\\space{2}displaying lines \"ragged left\"} \\indented{3}{\\spad{\\%i}\\space{6}indent\\space{3}following lines 3 additional spaces} \\indented{3}{\\spad{\\%u}\\space{6}unindent following lines 3 additional spaces} \\indented{3}{\\spad{\\%xN}\\space{5}insert \\spad{N} blanks (eg,{} \\spad{\\%x10} inserts 10 blanks)} \\blankline")) (|error| (((|Exit|) (|String|) (|List| (|String|))) "\\spad{error(nam,lmsg)} displays error messages \\spad{lmsg} preceded by a message containing the name \\spad{nam} of the function in which the error is contained.") (((|Exit|) (|String|) (|String|)) "\\spad{error(nam,msg)} displays error message \\spad{msg} preceded by a message containing the name \\spad{nam} of the function in which the error is contained.") (((|Exit|) (|List| (|String|))) "\\spad{error(lmsg)} displays error message \\spad{lmsg} and terminates.") (((|Exit|) (|String|)) "\\spad{error(msg)} displays error message \\spad{msg} and terminates."))) NIL NIL -(-308 -2191 S) +(-308 -1985 S) ((|constructor| (NIL "This package allows a map from any expression space into any object to be lifted to a kernel over the expression set,{} using a given property of the operator of the kernel.")) (|map| ((|#2| (|Mapping| |#2| |#1|) (|String|) (|Kernel| |#1|)) "\\spad{map(f, p, k)} uses the property \\spad{p} of the operator of \\spad{k},{} in order to lift \\spad{f} and apply it to \\spad{k}."))) NIL NIL -(-309 E -2191) +(-309 E -1985) ((|constructor| (NIL "This package allows a mapping \\spad{E} \\spad{->} \\spad{F} to be lifted to a kernel over \\spad{E}; This lifting can fail if the operator of the kernel cannot be applied in \\spad{F}; Do not use this package with \\spad{E} = \\spad{F},{} since this may drop some properties of the operators.")) (|map| ((|#2| (|Mapping| |#2| |#1|) (|Kernel| |#1|)) "\\spad{map(f, k)} returns \\spad{g = op(f(a1),...,f(an))} where \\spad{k = op(a1,...,an)}."))) NIL NIL @@ -1212,7 +1212,7 @@ NIL ((|constructor| (NIL "This category provides \\spadfun{eval} operations. A domain may belong to this category if it is possible to make ``evaluation\\spad{''} substitutions.")) (|eval| (($ $ (|List| (|Equation| |#1|))) "\\spad{eval(f, [x1 = v1,...,xn = vn])} replaces \\spad{xi} by \\spad{vi} in \\spad{f}.") (($ $ (|Equation| |#1|)) "\\spad{eval(f,x = v)} replaces \\spad{x} by \\spad{v} in \\spad{f}."))) NIL NIL -(-321 -2191) +(-321 -1985) ((|constructor| (NIL "This package is to be used in conjuction with \\indented{12}{the CycleIndicators package. It provides an evaluation} \\indented{12}{function for SymmetricPolynomials.}")) (|eval| ((|#1| (|Mapping| |#1| (|Integer|)) (|SymmetricPolynomial| (|Fraction| (|Integer|)))) "\\spad{eval(f,s)} evaluates the cycle index \\spad{s} by applying \\indented{1}{the function \\spad{f} to each integer in a monomial partition,{}} \\indented{1}{forms their product and sums the results over all monomials.}"))) NIL NIL @@ -1227,7 +1227,7 @@ NIL (-324 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))}."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-932))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (LIST (QUOTE -1063) (QUOTE (-1201)))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-146))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-1047))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-836))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-865))) (-3803 (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-836))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-865)))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-1177))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (LIST (QUOTE 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(LIST (QUOTE -1278) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-318))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-558))) (-12 (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-932))) (|HasCategory| $ (QUOTE (-146)))) (-3803 (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-146))) (-12 (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-932))) (|HasCategory| $ (QUOTE (-146)))))) +((|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-932))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (LIST (QUOTE -1063) (QUOTE (-1201)))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-146))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-1047))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-836))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-865))) (-2811 (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-836))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-865)))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-1177))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-238))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-239))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (LIST (QUOTE -527) (QUOTE (-1201)) (LIST (QUOTE -1278) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (LIST (QUOTE -320) (LIST (QUOTE -1278) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (LIST (QUOTE -297) (LIST (QUOTE -1278) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)) (LIST (QUOTE -1278) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-318))) (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-558))) (-12 (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-932))) (|HasCategory| $ (QUOTE (-146)))) (-2811 (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-146))) (-12 (|HasCategory| (-1278 |#1| |#2| |#3| |#4|) (QUOTE (-932))) (|HasCategory| $ (QUOTE (-146)))))) (-325 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 @@ -1238,9 +1238,9 @@ NIL NIL (-327 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."))) -((-4467 -3803 (-12 (|has| |#1| (-569)) (-3803 (|has| |#1| (-1074)) (|has| |#1| (-486)))) (|has| |#1| (-1074)) (|has| |#1| (-486))) (-4465 |has| |#1| (-174)) (-4464 |has| |#1| (-174)) ((-4472 "*") |has| |#1| (-569)) (-4463 |has| |#1| (-569)) (-4468 |has| |#1| (-569)) (-4462 |has| |#1| (-569))) -((-3803 (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) 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(|seriesSolve| (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve(eq, y, x = a, [b0,...,bn])} is equivalent to \\spad{seriesSolve(eq = 0, y, x = a, [b0,...,b(n-1)])}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|Equation| |#2|)) "\\spad{seriesSolve(eq, y, x = a, y a = b)} is equivalent to \\spad{seriesSolve(eq=0, y, x=a, y a = b)}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq, y, x = a, b)} is equivalent to \\spad{seriesSolve(eq = 0, y, x = a, y a = b)}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq,y, x=a, b)} is equivalent to \\spad{seriesSolve(eq, y, x=a, y a = b)}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "\\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x = a,[y1 a = b1,..., yn a = bn])} is equivalent to \\spad{seriesSolve([eq1=0,...,eqn=0], [y1,...,yn], x = a, [y1 a = b1,..., yn a = bn])}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x=a, [b1,...,bn])} is equivalent to \\spad{seriesSolve([eq1=0,...,eqn=0], [y1,...,yn], x=a, [b1,...,bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x=a, [b1,...,bn])} is equivalent to \\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x = a, [y1 a = b1,..., yn a = bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "\\spad{seriesSolve([eq1,...,eqn],[y1,...,yn],x = a,[y1 a = b1,...,yn a = bn])} returns a taylor series solution of \\spad{[eq1,...,eqn]} around \\spad{x = a} with initial conditions \\spad{yi(a) = bi}. Note: eqi must be of the form \\spad{fi(x, y1 x, y2 x,..., yn x) y1'(x) + gi(x, y1 x, y2 x,..., yn x) = h(x, y1 x, y2 x,..., yn x)}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve(eq,y,x=a,[b0,...,b(n-1)])} returns a Taylor series solution of \\spad{eq} around \\spad{x = a} with initial conditions \\spad{y(a) = b0},{} \\spad{y'(a) = b1},{} \\spad{y''(a) = b2},{} ...,{}\\spad{y(n-1)(a) = b(n-1)} \\spad{eq} must be of the form \\spad{f(x, y x, y'(x),..., y(n-1)(x)) y(n)(x) + g(x,y x,y'(x),...,y(n-1)(x)) = h(x,y x, y'(x),..., y(n-1)(x))}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|Equation| |#2|)) "\\spad{seriesSolve(eq,y,x=a, y a = b)} returns a Taylor series solution of \\spad{eq} around \\spad{x} = a with initial condition \\spad{y(a) = b}. Note: \\spad{eq} must be of the form \\spad{f(x, y x) y'(x) + g(x, y x) = h(x, y x)}."))) NIL NIL @@ -1251,7 +1251,7 @@ NIL (-330 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."))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4468 |has| |#1| (-375)) (-4462 |has| |#1| (-375)) (-4464 . T) (-4465 . T) (-4467 . 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(|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 @@ -1283,12 +1283,12 @@ NIL (-338 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."))) ((-4471 . T) (-4470 . T)) -((-3803 (-12 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-3803 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) -(-339 S -2191) +((-2811 (-12 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-2811 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) +(-339 S -1985) ((|constructor| (NIL "FiniteAlgebraicExtensionField {\\em F} is the category of fields which are finite algebraic extensions of the field {\\em F}. If {\\em F} is finite then any finite algebraic extension of {\\em F} is finite,{} too. Let {\\em K} be a finite algebraic extension of the finite field {\\em F}. The exponentiation of elements of {\\em K} defines a \\spad{Z}-module structure on the multiplicative group of {\\em K}. The additive group of {\\em K} becomes a module over the ring of polynomials over {\\em F} via the operation \\spadfun{linearAssociatedExp}(a:K,{}f:SparseUnivariatePolynomial \\spad{F}) which is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em K},{} {\\em c,d} from {\\em F} and {\\em f,g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)} where {\\em q=size()\\$F}. The operations order and discreteLog associated with the multiplicative exponentiation have additive analogues associated to the operation \\spadfun{linearAssociatedExp}. These are the functions \\spadfun{linearAssociatedOrder} and \\spadfun{linearAssociatedLog},{} respectively.")) (|linearAssociatedLog| (((|Union| (|SparseUnivariatePolynomial| |#2|) "failed") $ $) "\\spad{linearAssociatedLog(b,a)} returns a polynomial {\\em g},{} such that the \\spadfun{linearAssociatedExp}(\\spad{b},{}\\spad{g}) equals {\\em a}. If there is no such polynomial {\\em g},{} then \\spadfun{linearAssociatedLog} fails.") (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{linearAssociatedLog(a)} returns a polynomial {\\em g},{} such that \\spadfun{linearAssociatedExp}(normalElement(),{}\\spad{g}) equals {\\em a}.")) (|linearAssociatedOrder| (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{linearAssociatedOrder(a)} retruns the monic polynomial {\\em g} of least degree,{} such that \\spadfun{linearAssociatedExp}(a,{}\\spad{g}) is 0.")) (|linearAssociatedExp| (($ $ (|SparseUnivariatePolynomial| |#2|)) "\\spad{linearAssociatedExp(a,f)} is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em \\$},{} {\\em c,d} form {\\em F} and {\\em f,g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)},{} where {\\em q=size()\\$F}.")) (|generator| (($) "\\spad{generator()} returns a root of the defining polynomial. This element generates the field as an algebra over the ground field.")) (|normal?| (((|Boolean|) $) "\\spad{normal?(a)} tests whether the element \\spad{a} is normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i), 0 <= i <= extensionDegree()-1} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Implementation according to Lidl/Niederreiter: Theorem 2.39.")) (|normalElement| (($) "\\spad{normalElement()} returns a element,{} normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i), 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. At the first call,{} the element is computed by \\spadfunFrom{createNormalElement}{FiniteAlgebraicExtensionField} then cached in a global variable. On subsequent calls,{} the element is retrieved by referencing the global variable.")) (|createNormalElement| (($) "\\spad{createNormalElement()} computes a normal element over the ground field \\spad{F},{} that is,{} \\spad{a**(q**i), 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Reference: Such an element exists Lidl/Niederreiter: Theorem 2.35.")) (|trace| (($ $ (|PositiveInteger|)) "\\spad{trace(a,d)} computes the trace of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size \\spad{q}. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: \\spad{trace(a,d) = reduce(+,[a**(q**(d*i)) for i in 0..n/d])}.") ((|#2| $) "\\spad{trace(a)} computes the trace of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|norm| (($ $ (|PositiveInteger|)) "\\spad{norm(a,d)} computes the norm of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: norm(a,{}\\spad{d}) = reduce(*,{}[a**(\\spad{q**}(d*i)) for \\spad{i} in 0..\\spad{n/d}])") ((|#2| $) "\\spad{norm(a)} computes the norm of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|degree| (((|PositiveInteger|) $) "\\spad{degree(a)} returns the degree of the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|extensionDegree| (((|PositiveInteger|)) "\\spad{extensionDegree()} returns the degree of field extension.")) (|definingPolynomial| (((|SparseUnivariatePolynomial| |#2|)) "\\spad{definingPolynomial()} returns the polynomial used to define the field extension.")) (|minimalPolynomial| (((|SparseUnivariatePolynomial| $) $ (|PositiveInteger|)) "\\spad{minimalPolynomial(x,n)} computes the minimal polynomial of \\spad{x} over the field of extension degree \\spad{n} over the ground field \\spad{F}.") (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{minimalPolynomial(a)} returns the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|represents| (($ (|Vector| |#2|)) "\\spad{represents([a1,..,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#2|) (|Vector| $)) "\\spad{coordinates([v1,...,vm])} returns the coordinates of the \\spad{vi}\\spad{'s} with to the fixed basis. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#2|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{F}-vectorspace basis.")) (|basis| (((|Vector| $) (|PositiveInteger|)) "\\spad{basis(n)} returns a fixed basis of a subfield of \\spad{\\$} as \\spad{F}-vectorspace.") (((|Vector| $)) "\\spad{basis()} returns a fixed basis of \\spad{\\$} as \\spad{F}-vectorspace."))) NIL ((|HasCategory| |#2| (QUOTE (-380)))) -(-340 -2191) +(-340 -1985) ((|constructor| (NIL "FiniteAlgebraicExtensionField {\\em F} is the category of fields which are finite algebraic extensions of the field {\\em F}. If {\\em F} is finite then any finite algebraic extension of {\\em F} is finite,{} too. Let {\\em K} be a finite algebraic extension of the finite field {\\em F}. The exponentiation of elements of {\\em K} defines a \\spad{Z}-module structure on the multiplicative group of {\\em K}. The additive group of {\\em K} becomes a module over the ring of polynomials over {\\em F} via the operation \\spadfun{linearAssociatedExp}(a:K,{}f:SparseUnivariatePolynomial \\spad{F}) which is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em K},{} {\\em c,d} from {\\em F} and {\\em f,g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)} where {\\em q=size()\\$F}. The operations order and discreteLog associated with the multiplicative exponentiation have additive analogues associated to the operation \\spadfun{linearAssociatedExp}. These are the functions \\spadfun{linearAssociatedOrder} and \\spadfun{linearAssociatedLog},{} respectively.")) (|linearAssociatedLog| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") $ $) "\\spad{linearAssociatedLog(b,a)} returns a polynomial {\\em g},{} such that the \\spadfun{linearAssociatedExp}(\\spad{b},{}\\spad{g}) equals {\\em a}. If there is no such polynomial {\\em g},{} then \\spadfun{linearAssociatedLog} fails.") (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{linearAssociatedLog(a)} returns a polynomial {\\em g},{} such that \\spadfun{linearAssociatedExp}(normalElement(),{}\\spad{g}) equals {\\em a}.")) (|linearAssociatedOrder| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{linearAssociatedOrder(a)} retruns the monic polynomial {\\em g} of least degree,{} such that \\spadfun{linearAssociatedExp}(a,{}\\spad{g}) is 0.")) (|linearAssociatedExp| (($ $ (|SparseUnivariatePolynomial| |#1|)) "\\spad{linearAssociatedExp(a,f)} is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em \\$},{} {\\em c,d} form {\\em F} and {\\em f,g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)},{} where {\\em q=size()\\$F}.")) (|generator| (($) "\\spad{generator()} returns a root of the defining polynomial. This element generates the field as an algebra over the ground field.")) (|normal?| (((|Boolean|) $) "\\spad{normal?(a)} tests whether the element \\spad{a} is normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i), 0 <= i <= extensionDegree()-1} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Implementation according to Lidl/Niederreiter: Theorem 2.39.")) (|normalElement| (($) "\\spad{normalElement()} returns a element,{} normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i), 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. At the first call,{} the element is computed by \\spadfunFrom{createNormalElement}{FiniteAlgebraicExtensionField} then cached in a global variable. On subsequent calls,{} the element is retrieved by referencing the global variable.")) (|createNormalElement| (($) "\\spad{createNormalElement()} computes a normal element over the ground field \\spad{F},{} that is,{} \\spad{a**(q**i), 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Reference: Such an element exists Lidl/Niederreiter: Theorem 2.35.")) (|trace| (($ $ (|PositiveInteger|)) "\\spad{trace(a,d)} computes the trace of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size \\spad{q}. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: \\spad{trace(a,d) = reduce(+,[a**(q**(d*i)) for i in 0..n/d])}.") ((|#1| $) "\\spad{trace(a)} computes the trace of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|norm| (($ $ (|PositiveInteger|)) "\\spad{norm(a,d)} computes the norm of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: norm(a,{}\\spad{d}) = reduce(*,{}[a**(\\spad{q**}(d*i)) for \\spad{i} in 0..\\spad{n/d}])") ((|#1| $) "\\spad{norm(a)} computes the norm of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|degree| (((|PositiveInteger|) $) "\\spad{degree(a)} returns the degree of the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|extensionDegree| (((|PositiveInteger|)) "\\spad{extensionDegree()} returns the degree of field extension.")) (|definingPolynomial| (((|SparseUnivariatePolynomial| |#1|)) "\\spad{definingPolynomial()} returns the polynomial used to define the field extension.")) (|minimalPolynomial| (((|SparseUnivariatePolynomial| $) $ (|PositiveInteger|)) "\\spad{minimalPolynomial(x,n)} computes the minimal polynomial of \\spad{x} over the field of extension degree \\spad{n} over the ground field \\spad{F}.") (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{minimalPolynomial(a)} returns the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|represents| (($ (|Vector| |#1|)) "\\spad{represents([a1,..,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#1|) (|Vector| $)) "\\spad{coordinates([v1,...,vm])} returns the coordinates of the \\spad{vi}\\spad{'s} with to the fixed basis. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#1|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{F}-vectorspace basis.")) (|basis| (((|Vector| $) (|PositiveInteger|)) "\\spad{basis(n)} returns a fixed basis of a subfield of \\spad{\\$} as \\spad{F}-vectorspace.") (((|Vector| $)) "\\spad{basis()} returns a fixed basis of \\spad{\\$} as \\spad{F}-vectorspace."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) NIL @@ -1312,15 +1312,15 @@ NIL ((|constructor| (NIL "\\indented{1}{Lift a map to finite divisors.} Author: Manuel Bronstein Date Created: 1988 Date Last Updated: 19 May 1993")) (|map| (((|FiniteDivisor| |#5| |#6| |#7| |#8|) (|Mapping| |#5| |#1|) (|FiniteDivisor| |#1| |#2| |#3| |#4|)) "\\spad{map(f,d)} \\undocumented{}"))) NIL NIL -(-346 S -2191 UP UPUP R) +(-346 S -1985 UP UPUP R) ((|constructor| (NIL "This category describes finite rational divisors on a curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve.")) (|generator| (((|Union| |#5| "failed") $) "\\spad{generator(d)} returns \\spad{f} if \\spad{(f) = d},{} \"failed\" if \\spad{d} is not principal.")) (|principal?| (((|Boolean|) $) "\\spad{principal?(D)} tests if the argument is the divisor of a function.")) (|reduce| (($ $) "\\spad{reduce(D)} converts \\spad{D} to some reduced form (the reduced forms can be differents in different implementations).")) (|decompose| (((|Record| (|:| |id| (|FractionalIdeal| |#3| (|Fraction| |#3|) |#4| |#5|)) (|:| |principalPart| |#5|)) $) "\\spad{decompose(d)} returns \\spad{[id, f]} where \\spad{d = (id) + div(f)}.")) (|divisor| (($ |#5| |#3| |#3| |#3| |#2|) "\\spad{divisor(h, d, d', g, r)} returns the sum of all the finite points where \\spad{h/d} has residue \\spad{r}. \\spad{h} must be integral. \\spad{d} must be squarefree. \\spad{d'} is some derivative of \\spad{d} (not necessarily dd/dx). \\spad{g = gcd(d,discriminant)} contains the ramified zeros of \\spad{d}") (($ |#2| |#2| (|Integer|)) "\\spad{divisor(a, b, n)} makes the divisor \\spad{nP} where \\spad{P:} \\spad{(x = a, y = b)}. \\spad{P} is allowed to be singular if \\spad{n} is a multiple of the rank.") (($ |#2| |#2|) "\\spad{divisor(a, b)} makes the divisor \\spad{P:} \\spad{(x = a, y = b)}. Error: if \\spad{P} is singular.") (($ |#5|) "\\spad{divisor(g)} returns the divisor of the function \\spad{g}.") (($ (|FractionalIdeal| |#3| (|Fraction| |#3|) |#4| |#5|)) "\\spad{divisor(I)} makes a divisor \\spad{D} from an ideal \\spad{I}.")) (|ideal| (((|FractionalIdeal| |#3| (|Fraction| |#3|) |#4| |#5|) $) "\\spad{ideal(D)} returns the ideal corresponding to a divisor \\spad{D}."))) NIL NIL -(-347 -2191 UP UPUP R) +(-347 -1985 UP UPUP R) ((|constructor| (NIL "This category describes finite rational divisors on a curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve.")) (|generator| (((|Union| |#4| "failed") $) "\\spad{generator(d)} returns \\spad{f} if \\spad{(f) = d},{} \"failed\" if \\spad{d} is not principal.")) (|principal?| (((|Boolean|) $) "\\spad{principal?(D)} tests if the argument is the divisor of a function.")) (|reduce| (($ $) "\\spad{reduce(D)} converts \\spad{D} to some reduced form (the reduced forms can be differents in different implementations).")) (|decompose| (((|Record| (|:| |id| (|FractionalIdeal| |#2| (|Fraction| |#2|) |#3| |#4|)) (|:| |principalPart| |#4|)) $) "\\spad{decompose(d)} returns \\spad{[id, f]} where \\spad{d = (id) + div(f)}.")) (|divisor| (($ |#4| |#2| |#2| |#2| |#1|) "\\spad{divisor(h, d, d', g, r)} returns the sum of all the finite points where \\spad{h/d} has residue \\spad{r}. \\spad{h} must be integral. \\spad{d} must be squarefree. \\spad{d'} is some derivative of \\spad{d} (not necessarily dd/dx). \\spad{g = gcd(d,discriminant)} contains the ramified zeros of \\spad{d}") (($ |#1| |#1| (|Integer|)) "\\spad{divisor(a, b, n)} makes the divisor \\spad{nP} where \\spad{P:} \\spad{(x = a, y = b)}. \\spad{P} is allowed to be singular if \\spad{n} is a multiple of the rank.") (($ |#1| |#1|) "\\spad{divisor(a, b)} makes the divisor \\spad{P:} \\spad{(x = a, y = b)}. Error: if \\spad{P} is singular.") (($ |#4|) "\\spad{divisor(g)} returns the divisor of the function \\spad{g}.") (($ (|FractionalIdeal| |#2| (|Fraction| |#2|) |#3| |#4|)) "\\spad{divisor(I)} makes a divisor \\spad{D} from an ideal \\spad{I}.")) (|ideal| (((|FractionalIdeal| |#2| (|Fraction| |#2|) |#3| |#4|) $) "\\spad{ideal(D)} returns the ideal corresponding to a divisor \\spad{D}."))) NIL NIL -(-348 -2191 UP UPUP R) +(-348 -1985 UP UPUP R) ((|constructor| (NIL "This domains implements finite rational divisors on a curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve.")) (|lSpaceBasis| (((|Vector| |#4|) $) "\\spad{lSpaceBasis(d)} returns a basis for \\spad{L(d) = {f | (f) >= -d}} as a module over \\spad{K[x]}.")) (|finiteBasis| (((|Vector| |#4|) $) "\\spad{finiteBasis(d)} returns a basis for \\spad{d} as a module over {\\em K[x]}."))) NIL NIL @@ -1340,26 +1340,26 @@ NIL ((|constructor| (NIL "Lifts a map from rings to function fields over them.")) (|map| ((|#8| (|Mapping| |#5| |#1|) |#4|) "\\spad{map(f, p)} lifts \\spad{f} to \\spad{F1} and applies it to \\spad{p}."))) NIL NIL -(-353 S -2191 UP UPUP) +(-353 S -1985 UP UPUP) ((|constructor| (NIL "This category is a model for the function field of a plane algebraic curve.")) (|rationalPoints| (((|List| (|List| |#2|))) "\\spad{rationalPoints()} returns the list of all the affine rational points.")) (|nonSingularModel| (((|List| (|Polynomial| |#2|)) (|Symbol|)) "\\spad{nonSingularModel(u)} returns the equations in u1,{}...,{}un of an affine non-singular model for the curve.")) (|algSplitSimple| (((|Record| (|:| |num| $) (|:| |den| |#3|) (|:| |derivden| |#3|) (|:| |gd| |#3|)) $ (|Mapping| |#3| |#3|)) "\\spad{algSplitSimple(f, D)} returns \\spad{[h,d,d',g]} such that \\spad{f=h/d},{} \\spad{h} is integral at all the normal places \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} \\spad{d' = Dd},{} \\spad{g = gcd(d, discriminant())} and \\spad{D} is the derivation to use. \\spad{f} must have at most simple finite poles.")) (|hyperelliptic| (((|Union| |#3| "failed")) "\\spad{hyperelliptic()} returns \\spad{p(x)} if the curve is the hyperelliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elliptic| (((|Union| |#3| "failed")) "\\spad{elliptic()} returns \\spad{p(x)} if the curve is the elliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elt| ((|#2| $ |#2| |#2|) "\\spad{elt(f,a,b)} or \\spad{f}(a,{} \\spad{b}) returns the value of \\spad{f} at the point \\spad{(x = a, y = b)} if it is not singular.")) (|primitivePart| (($ $) "\\spad{primitivePart(f)} removes the content of the denominator and the common content of the numerator of \\spad{f}.")) (|differentiate| (($ $ (|Mapping| |#3| |#3|)) "\\spad{differentiate(x, d)} extends the derivation \\spad{d} from UP to \\$ and applies it to \\spad{x}.")) (|integralDerivationMatrix| (((|Record| (|:| |num| (|Matrix| |#3|)) (|:| |den| |#3|)) (|Mapping| |#3| |#3|)) "\\spad{integralDerivationMatrix(d)} extends the derivation \\spad{d} from UP to \\$ and returns (\\spad{M},{} \\spad{Q}) such that the i^th row of \\spad{M} divided by \\spad{Q} form the coordinates of \\spad{d(wi)} with respect to \\spad{(w1,...,wn)} where \\spad{(w1,...,wn)} is the integral basis returned by integralBasis().")) (|integralRepresents| (($ (|Vector| |#3|) |#3|) "\\spad{integralRepresents([A1,...,An], D)} returns \\spad{(A1 w1+...+An wn)/D} where \\spad{(w1,...,wn)} is the integral basis of \\spad{integralBasis()}.")) (|integralCoordinates| (((|Record| (|:| |num| (|Vector| |#3|)) (|:| |den| |#3|)) $) "\\spad{integralCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 w1 +...+ An wn) / D} where \\spad{(w1,...,wn)} is the integral basis returned by \\spad{integralBasis()}.")) (|represents| (($ (|Vector| |#3|) |#3|) "\\spad{represents([A0,...,A(n-1)],D)} returns \\spad{(A0 + A1 y +...+ A(n-1)*y**(n-1))/D}.")) (|yCoordinates| (((|Record| (|:| |num| (|Vector| |#3|)) (|:| |den| |#3|)) $) "\\spad{yCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 + A2 y +...+ An y**(n-1)) / D}.")) (|inverseIntegralMatrixAtInfinity| (((|Matrix| (|Fraction| |#3|))) "\\spad{inverseIntegralMatrixAtInfinity()} returns \\spad{M} such that \\spad{M (v1,...,vn) = (1, y, ..., y**(n-1))} where \\spad{(v1,...,vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|integralMatrixAtInfinity| (((|Matrix| (|Fraction| |#3|))) "\\spad{integralMatrixAtInfinity()} returns \\spad{M} such that \\spad{(v1,...,vn) = M (1, y, ..., y**(n-1))} where \\spad{(v1,...,vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|inverseIntegralMatrix| (((|Matrix| (|Fraction| |#3|))) "\\spad{inverseIntegralMatrix()} returns \\spad{M} such that \\spad{M (w1,...,wn) = (1, y, ..., y**(n-1))} where \\spad{(w1,...,wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|integralMatrix| (((|Matrix| (|Fraction| |#3|))) "\\spad{integralMatrix()} returns \\spad{M} such that \\spad{(w1,...,wn) = M (1, y, ..., y**(n-1))},{} where \\spad{(w1,...,wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|reduceBasisAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{reduceBasisAtInfinity(b1,...,bn)} returns \\spad{(x**i * bj)} for all \\spad{i},{}\\spad{j} such that \\spad{x**i*bj} is locally integral at infinity.")) (|normalizeAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{normalizeAtInfinity(v)} makes \\spad{v} normal at infinity.")) (|complementaryBasis| (((|Vector| $) (|Vector| $)) "\\spad{complementaryBasis(b1,...,bn)} returns the complementary basis \\spad{(b1',...,bn')} of \\spad{(b1,...,bn)}.")) (|integral?| (((|Boolean|) $ |#3|) "\\spad{integral?(f, p)} tests whether \\spad{f} is locally integral at \\spad{p(x) = 0}.") (((|Boolean|) $ |#2|) "\\spad{integral?(f, a)} tests whether \\spad{f} is locally integral at \\spad{x = a}.") (((|Boolean|) $) "\\spad{integral?()} tests if \\spad{f} is integral over \\spad{k[x]}.")) (|integralAtInfinity?| (((|Boolean|) $) "\\spad{integralAtInfinity?()} tests if \\spad{f} is locally integral at infinity.")) (|integralBasisAtInfinity| (((|Vector| $)) "\\spad{integralBasisAtInfinity()} returns the local integral basis at infinity.")) (|integralBasis| (((|Vector| $)) "\\spad{integralBasis()} returns the integral basis for the curve.")) (|ramified?| (((|Boolean|) |#3|) "\\spad{ramified?(p)} tests whether \\spad{p(x) = 0} is ramified.") (((|Boolean|) |#2|) "\\spad{ramified?(a)} tests whether \\spad{x = a} is ramified.")) (|ramifiedAtInfinity?| (((|Boolean|)) "\\spad{ramifiedAtInfinity?()} tests if infinity is ramified.")) (|singular?| (((|Boolean|) |#3|) "\\spad{singular?(p)} tests whether \\spad{p(x) = 0} is singular.") (((|Boolean|) |#2|) "\\spad{singular?(a)} tests whether \\spad{x = a} is singular.")) (|singularAtInfinity?| (((|Boolean|)) "\\spad{singularAtInfinity?()} tests if there is a singularity at infinity.")) (|branchPoint?| (((|Boolean|) |#3|) "\\spad{branchPoint?(p)} tests whether \\spad{p(x) = 0} is a branch point.") (((|Boolean|) |#2|) "\\spad{branchPoint?(a)} tests whether \\spad{x = a} is a branch point.")) (|branchPointAtInfinity?| (((|Boolean|)) "\\spad{branchPointAtInfinity?()} tests if there is a branch point at infinity.")) (|rationalPoint?| (((|Boolean|) |#2| |#2|) "\\spad{rationalPoint?(a, b)} tests if \\spad{(x=a,y=b)} is on the curve.")) (|absolutelyIrreducible?| (((|Boolean|)) "\\spad{absolutelyIrreducible?()} tests if the curve absolutely irreducible?")) (|genus| (((|NonNegativeInteger|)) "\\spad{genus()} returns the genus of one absolutely irreducible component")) (|numberOfComponents| (((|NonNegativeInteger|)) "\\spad{numberOfComponents()} returns the number of absolutely irreducible components."))) NIL ((|HasCategory| |#2| (QUOTE (-380))) (|HasCategory| |#2| (QUOTE (-375)))) -(-354 -2191 UP UPUP) +(-354 -1985 UP UPUP) ((|constructor| (NIL "This category is a model for the function field of a plane algebraic curve.")) (|rationalPoints| (((|List| (|List| |#1|))) "\\spad{rationalPoints()} returns the list of all the affine rational points.")) (|nonSingularModel| (((|List| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{nonSingularModel(u)} returns the equations in u1,{}...,{}un of an affine non-singular model for the curve.")) (|algSplitSimple| (((|Record| (|:| |num| $) (|:| |den| |#2|) (|:| |derivden| |#2|) (|:| |gd| |#2|)) $ (|Mapping| |#2| |#2|)) "\\spad{algSplitSimple(f, D)} returns \\spad{[h,d,d',g]} such that \\spad{f=h/d},{} \\spad{h} is integral at all the normal places \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} \\spad{d' = Dd},{} \\spad{g = gcd(d, discriminant())} and \\spad{D} is the derivation to use. \\spad{f} must have at most simple finite poles.")) (|hyperelliptic| (((|Union| |#2| "failed")) "\\spad{hyperelliptic()} returns \\spad{p(x)} if the curve is the hyperelliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elliptic| (((|Union| |#2| "failed")) "\\spad{elliptic()} returns \\spad{p(x)} if the curve is the elliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elt| ((|#1| $ |#1| |#1|) "\\spad{elt(f,a,b)} or \\spad{f}(a,{} \\spad{b}) returns the value of \\spad{f} at the point \\spad{(x = a, y = b)} if it is not singular.")) (|primitivePart| (($ $) "\\spad{primitivePart(f)} removes the content of the denominator and the common content of the numerator of \\spad{f}.")) (|differentiate| (($ $ (|Mapping| |#2| |#2|)) "\\spad{differentiate(x, d)} extends the derivation \\spad{d} from UP to \\$ and applies it to \\spad{x}.")) (|integralDerivationMatrix| (((|Record| (|:| |num| (|Matrix| |#2|)) (|:| |den| |#2|)) (|Mapping| |#2| |#2|)) "\\spad{integralDerivationMatrix(d)} extends the derivation \\spad{d} from UP to \\$ and returns (\\spad{M},{} \\spad{Q}) such that the i^th row of \\spad{M} divided by \\spad{Q} form the coordinates of \\spad{d(wi)} with respect to \\spad{(w1,...,wn)} where \\spad{(w1,...,wn)} is the integral basis returned by integralBasis().")) (|integralRepresents| (($ (|Vector| |#2|) |#2|) "\\spad{integralRepresents([A1,...,An], D)} returns \\spad{(A1 w1+...+An wn)/D} where \\spad{(w1,...,wn)} is the integral basis of \\spad{integralBasis()}.")) (|integralCoordinates| (((|Record| (|:| |num| (|Vector| |#2|)) (|:| |den| |#2|)) $) "\\spad{integralCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 w1 +...+ An wn) / D} where \\spad{(w1,...,wn)} is the integral basis returned by \\spad{integralBasis()}.")) (|represents| (($ (|Vector| |#2|) |#2|) "\\spad{represents([A0,...,A(n-1)],D)} returns \\spad{(A0 + A1 y +...+ A(n-1)*y**(n-1))/D}.")) (|yCoordinates| (((|Record| (|:| |num| (|Vector| |#2|)) (|:| |den| |#2|)) $) "\\spad{yCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 + A2 y +...+ An y**(n-1)) / D}.")) (|inverseIntegralMatrixAtInfinity| (((|Matrix| (|Fraction| |#2|))) "\\spad{inverseIntegralMatrixAtInfinity()} returns \\spad{M} such that \\spad{M (v1,...,vn) = (1, y, ..., y**(n-1))} where \\spad{(v1,...,vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|integralMatrixAtInfinity| (((|Matrix| (|Fraction| |#2|))) "\\spad{integralMatrixAtInfinity()} returns \\spad{M} such that \\spad{(v1,...,vn) = M (1, y, ..., y**(n-1))} where \\spad{(v1,...,vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|inverseIntegralMatrix| (((|Matrix| (|Fraction| |#2|))) "\\spad{inverseIntegralMatrix()} returns \\spad{M} such that \\spad{M (w1,...,wn) = (1, y, ..., y**(n-1))} where \\spad{(w1,...,wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|integralMatrix| (((|Matrix| (|Fraction| |#2|))) "\\spad{integralMatrix()} returns \\spad{M} such that \\spad{(w1,...,wn) = M (1, y, ..., y**(n-1))},{} where \\spad{(w1,...,wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|reduceBasisAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{reduceBasisAtInfinity(b1,...,bn)} returns \\spad{(x**i * bj)} for all \\spad{i},{}\\spad{j} such that \\spad{x**i*bj} is locally integral at infinity.")) (|normalizeAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{normalizeAtInfinity(v)} makes \\spad{v} normal at infinity.")) (|complementaryBasis| (((|Vector| $) (|Vector| $)) "\\spad{complementaryBasis(b1,...,bn)} returns the complementary basis \\spad{(b1',...,bn')} of \\spad{(b1,...,bn)}.")) (|integral?| (((|Boolean|) $ |#2|) "\\spad{integral?(f, p)} tests whether \\spad{f} is locally integral at \\spad{p(x) = 0}.") (((|Boolean|) $ |#1|) "\\spad{integral?(f, a)} tests whether \\spad{f} is locally integral at \\spad{x = a}.") (((|Boolean|) $) "\\spad{integral?()} tests if \\spad{f} is integral over \\spad{k[x]}.")) (|integralAtInfinity?| (((|Boolean|) $) "\\spad{integralAtInfinity?()} tests if \\spad{f} is locally integral at infinity.")) (|integralBasisAtInfinity| (((|Vector| $)) "\\spad{integralBasisAtInfinity()} returns the local integral basis at infinity.")) (|integralBasis| (((|Vector| $)) "\\spad{integralBasis()} returns the integral basis for the curve.")) (|ramified?| (((|Boolean|) |#2|) "\\spad{ramified?(p)} tests whether \\spad{p(x) = 0} is ramified.") (((|Boolean|) |#1|) "\\spad{ramified?(a)} tests whether \\spad{x = a} is ramified.")) (|ramifiedAtInfinity?| (((|Boolean|)) "\\spad{ramifiedAtInfinity?()} tests if infinity is ramified.")) (|singular?| (((|Boolean|) |#2|) "\\spad{singular?(p)} tests whether \\spad{p(x) = 0} is singular.") (((|Boolean|) |#1|) "\\spad{singular?(a)} tests whether \\spad{x = a} is singular.")) (|singularAtInfinity?| (((|Boolean|)) "\\spad{singularAtInfinity?()} tests if there is a singularity at infinity.")) (|branchPoint?| (((|Boolean|) |#2|) "\\spad{branchPoint?(p)} tests whether \\spad{p(x) = 0} is a branch point.") (((|Boolean|) |#1|) "\\spad{branchPoint?(a)} tests whether \\spad{x = a} is a branch point.")) (|branchPointAtInfinity?| (((|Boolean|)) "\\spad{branchPointAtInfinity?()} tests if there is a branch point at infinity.")) (|rationalPoint?| (((|Boolean|) |#1| |#1|) "\\spad{rationalPoint?(a, b)} tests if \\spad{(x=a,y=b)} is on the curve.")) (|absolutelyIrreducible?| (((|Boolean|)) "\\spad{absolutelyIrreducible?()} tests if the curve absolutely irreducible?")) (|genus| (((|NonNegativeInteger|)) "\\spad{genus()} returns the genus of one absolutely irreducible component")) (|numberOfComponents| (((|NonNegativeInteger|)) "\\spad{numberOfComponents()} returns the number of absolutely irreducible components."))) ((-4463 |has| (-420 |#2|) (-375)) (-4468 |has| (-420 |#2|) (-375)) (-4462 |has| (-420 |#2|) (-375)) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) NIL (-355 |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."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((-3803 (|HasCategory| (-933 |#1|) (QUOTE (-146))) (|HasCategory| (-933 |#1|) (QUOTE (-380)))) (|HasCategory| (-933 |#1|) (QUOTE (-148))) (|HasCategory| (-933 |#1|) (QUOTE (-380))) (|HasCategory| (-933 |#1|) (QUOTE (-146)))) +((-2811 (|HasCategory| (-933 |#1|) (QUOTE (-146))) (|HasCategory| (-933 |#1|) (QUOTE (-380)))) (|HasCategory| (-933 |#1|) (QUOTE (-148))) (|HasCategory| (-933 |#1|) (QUOTE (-380))) (|HasCategory| (-933 |#1|) (QUOTE (-146)))) (-356 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."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((-3803 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146)))) +((-2811 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146)))) (-357 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."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((-3803 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146)))) +((-2811 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146)))) (-358 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 @@ -1376,31 +1376,31 @@ NIL ((|constructor| (NIL "FiniteFieldCategory is the category of finite fields")) (|representationType| (((|Union| "prime" "polynomial" "normal" "cyclic")) "\\spad{representationType()} returns the type of the representation,{} one of: \\spad{prime},{} \\spad{polynomial},{} \\spad{normal},{} or \\spad{cyclic}.")) (|order| (((|PositiveInteger|) $) "\\spad{order(b)} computes the order of an element \\spad{b} in the multiplicative group of the field. Error: if \\spad{b} equals 0.")) (|discreteLog| (((|NonNegativeInteger|) $) "\\spad{discreteLog(a)} computes the discrete logarithm of \\spad{a} with respect to \\spad{primitiveElement()} of the field.")) (|primitive?| (((|Boolean|) $) "\\spad{primitive?(b)} tests whether the element \\spad{b} is a generator of the (cyclic) multiplicative group of the field,{} \\spadignore{i.e.} is a primitive element. Implementation Note: see \\spad{ch}.IX.1.3,{} th.2 in \\spad{D}. Lipson.")) (|primitiveElement| (($) "\\spad{primitiveElement()} returns a primitive element stored in a global variable in the domain. At first call,{} the primitive element is computed by calling \\spadfun{createPrimitiveElement}.")) (|createPrimitiveElement| (($) "\\spad{createPrimitiveElement()} computes a generator of the (cyclic) multiplicative group of the field.")) (|tableForDiscreteLogarithm| (((|Table| (|PositiveInteger|) (|NonNegativeInteger|)) (|Integer|)) "\\spad{tableForDiscreteLogarithm(a,n)} returns a table of the discrete logarithms of \\spad{a**0} up to \\spad{a**(n-1)} which,{} called with key \\spad{lookup(a**i)} returns \\spad{i} for \\spad{i} in \\spad{0..n-1}. Error: if not called for prime divisors of order of \\indented{7}{multiplicative group.}")) (|factorsOfCyclicGroupSize| (((|List| (|Record| (|:| |factor| (|Integer|)) (|:| |exponent| (|Integer|))))) "\\spad{factorsOfCyclicGroupSize()} returns the factorization of size()\\spad{-1}")) (|conditionP| (((|Union| (|Vector| $) "failed") (|Matrix| $)) "\\spad{conditionP(mat)},{} given a matrix representing a homogeneous system of equations,{} returns a vector whose characteristic'th powers is a non-trivial solution,{} or \"failed\" if no such vector exists.")) (|charthRoot| (($ $) "\\spad{charthRoot(a)} takes the characteristic'th root of {\\em a}. Note: such a root is alway defined in finite fields."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) NIL -(-362 R UP -2191) +(-362 R UP -1985) ((|constructor| (NIL "In this package \\spad{R} is a Euclidean domain and \\spad{F} is a framed algebra over \\spad{R}. The package provides functions to compute the integral closure of \\spad{R} in the quotient field of \\spad{F}. It is assumed that \\spad{char(R/P) = char(R)} for any prime \\spad{P} of \\spad{R}. A typical instance of this is when \\spad{R = K[x]} and \\spad{F} is a function field over \\spad{R}.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) |#1|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the integral closure of \\spad{R} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}"))) NIL NIL (-363 |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."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((-3803 (|HasCategory| (-933 |#1|) (QUOTE (-146))) (|HasCategory| (-933 |#1|) (QUOTE (-380)))) (|HasCategory| (-933 |#1|) (QUOTE (-148))) (|HasCategory| (-933 |#1|) (QUOTE (-380))) (|HasCategory| (-933 |#1|) (QUOTE (-146)))) +((-2811 (|HasCategory| (-933 |#1|) (QUOTE (-146))) (|HasCategory| (-933 |#1|) (QUOTE (-380)))) (|HasCategory| (-933 |#1|) (QUOTE (-148))) (|HasCategory| (-933 |#1|) (QUOTE (-380))) (|HasCategory| (-933 |#1|) (QUOTE (-146)))) (-364 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."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((-3803 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146)))) +((-2811 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146)))) (-365 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."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((-3803 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146)))) +((-2811 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146)))) (-366 |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}."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((-3803 (|HasCategory| (-933 |#1|) (QUOTE (-146))) (|HasCategory| (-933 |#1|) (QUOTE (-380)))) (|HasCategory| (-933 |#1|) (QUOTE (-148))) (|HasCategory| (-933 |#1|) (QUOTE (-380))) (|HasCategory| (-933 |#1|) (QUOTE (-146)))) +((-2811 (|HasCategory| (-933 |#1|) (QUOTE (-146))) (|HasCategory| (-933 |#1|) (QUOTE (-380)))) (|HasCategory| (-933 |#1|) (QUOTE (-148))) (|HasCategory| (-933 |#1|) (QUOTE (-380))) (|HasCategory| (-933 |#1|) (QUOTE (-146)))) (-367 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."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((-3803 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146)))) -(-368 -2191 GF) +((-2811 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146)))) +(-368 -1985 GF) ((|constructor| (NIL "FiniteFieldPolynomialPackage2(\\spad{F},{}\\spad{GF}) exports some functions concerning finite fields,{} which depend on a finite field {\\em GF} and an algebraic extension \\spad{F} of {\\em GF},{} \\spadignore{e.g.} a zero of a polynomial over {\\em GF} in \\spad{F}.")) (|rootOfIrreduciblePoly| ((|#1| (|SparseUnivariatePolynomial| |#2|)) "\\spad{rootOfIrreduciblePoly(f)} computes one root of the monic,{} irreducible polynomial \\spad{f},{} which degree must divide the extension degree of {\\em F} over {\\em GF},{} \\spadignore{i.e.} \\spad{f} splits into linear factors over {\\em F}.")) (|Frobenius| ((|#1| |#1|) "\\spad{Frobenius(x)} \\undocumented{}")) (|basis| (((|Vector| |#1|) (|PositiveInteger|)) "\\spad{basis(n)} \\undocumented{}")) (|lookup| (((|PositiveInteger|) |#1|) "\\spad{lookup(x)} \\undocumented{}")) (|coerce| ((|#1| |#2|) "\\spad{coerce(x)} \\undocumented{}"))) NIL NIL @@ -1408,14 +1408,14 @@ NIL ((|constructor| (NIL "This package provides a number of functions for generating,{} counting and testing irreducible,{} normal,{} primitive,{} random polynomials over finite fields.")) (|reducedQPowers| (((|PrimitiveArray| (|SparseUnivariatePolynomial| |#1|)) (|SparseUnivariatePolynomial| |#1|)) "\\spad{reducedQPowers(f)} generates \\spad{[x,x**q,x**(q**2),...,x**(q**(n-1))]} reduced modulo \\spad{f} where \\spad{q = size()\\$GF} and \\spad{n = degree f}.")) (|leastAffineMultiple| (((|SparseUnivariatePolynomial| |#1|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{leastAffineMultiple(f)} computes the least affine polynomial which is divisible by the polynomial \\spad{f} over the finite field {\\em GF},{} \\spadignore{i.e.} a polynomial whose exponents are 0 or a power of \\spad{q},{} the size of {\\em GF}.")) (|random| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|) (|PositiveInteger|)) "\\spad{random(m,n)}\\$FFPOLY(\\spad{GF}) generates a random monic polynomial of degree \\spad{d} over the finite field {\\em GF},{} \\spad{d} between \\spad{m} and \\spad{n}.") (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{random(n)}\\$FFPOLY(\\spad{GF}) generates a random monic polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|nextPrimitiveNormalPoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextPrimitiveNormalPoly(f)} yields the next primitive normal polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the constant term of \\spad{f} is less than this number for \\spad{g} or,{} in case these numbers are equal,{} if the {\\em lookup} of the coefficient of the term of degree {\\em n-1} of \\spad{f} is less than this number for \\spad{g}. If these numbers are equals,{} \\spad{f < g} if the number of monomials of \\spad{f} is less than that for \\spad{g},{} or if the lists of exponents for \\spad{f} are lexicographically less than those for \\spad{g}. If these lists are also equal,{} the lists of coefficients are coefficients according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}. This operation is equivalent to nextNormalPrimitivePoly(\\spad{f}).")) (|nextNormalPrimitivePoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextNormalPrimitivePoly(f)} yields the next normal primitive polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the constant term of \\spad{f} is less than this number for \\spad{g} or if {\\em lookup} of the coefficient of the term of degree {\\em n-1} of \\spad{f} is less than this number for \\spad{g}. Otherwise,{} \\spad{f < g} if the number of monomials of \\spad{f} is less than that for \\spad{g} or if the lists of exponents for \\spad{f} are lexicographically less than those for \\spad{g}. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}. This operation is equivalent to nextPrimitiveNormalPoly(\\spad{f}).")) (|nextNormalPoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextNormalPoly(f)} yields the next normal polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the coefficient of the term of degree {\\em n-1} of \\spad{f} is less than that for \\spad{g}. In case these numbers are equal,{} \\spad{f < g} if if the number of monomials of \\spad{f} is less that for \\spad{g} or if the list of exponents of \\spad{f} are lexicographically less than the corresponding list for \\spad{g}. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}.")) (|nextPrimitivePoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextPrimitivePoly(f)} yields the next primitive polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the constant term of \\spad{f} is less than this number for \\spad{g}. If these values are equal,{} then \\spad{f < g} if if the number of monomials of \\spad{f} is less than that for \\spad{g} or if the lists of exponents of \\spad{f} are lexicographically less than the corresponding list for \\spad{g}. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}.")) (|nextIrreduciblePoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextIrreduciblePoly(f)} yields the next monic irreducible polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the number of monomials of \\spad{f} is less than this number for \\spad{g}. If \\spad{f} and \\spad{g} have the same number of monomials,{} the lists of exponents are compared lexicographically. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}.")) (|createPrimitiveNormalPoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createPrimitiveNormalPoly(n)}\\$FFPOLY(\\spad{GF}) generates a normal and primitive polynomial of degree \\spad{n} over the field {\\em GF}. polynomial of degree \\spad{n} over the field {\\em GF}.")) (|createNormalPrimitivePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createNormalPrimitivePoly(n)}\\$FFPOLY(\\spad{GF}) generates a normal and primitive polynomial of degree \\spad{n} over the field {\\em GF}. Note: this function is equivalent to createPrimitiveNormalPoly(\\spad{n})")) (|createNormalPoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createNormalPoly(n)}\\$FFPOLY(\\spad{GF}) generates a normal polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|createPrimitivePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createPrimitivePoly(n)}\\$FFPOLY(\\spad{GF}) generates a primitive polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|createIrreduciblePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createIrreduciblePoly(n)}\\$FFPOLY(\\spad{GF}) generates a monic irreducible univariate polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfNormalPoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfNormalPoly(n)}\\$FFPOLY(\\spad{GF}) yields the number of normal polynomials of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfPrimitivePoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfPrimitivePoly(n)}\\$FFPOLY(\\spad{GF}) yields the number of primitive polynomials of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfIrreduciblePoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfIrreduciblePoly(n)}\\$FFPOLY(\\spad{GF}) yields the number of monic irreducible univariate polynomials of degree \\spad{n} over the finite field {\\em GF}.")) (|normal?| (((|Boolean|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{normal?(f)} tests whether the polynomial \\spad{f} over a finite field is normal,{} \\spadignore{i.e.} its roots are linearly independent over the field.")) (|primitive?| (((|Boolean|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{primitive?(f)} tests whether the polynomial \\spad{f} over a finite field is primitive,{} \\spadignore{i.e.} all its roots are primitive."))) NIL NIL -(-370 -2191 FP FPP) +(-370 -1985 FP FPP) ((|constructor| (NIL "This package solves linear diophantine equations for Bivariate polynomials over finite fields")) (|solveLinearPolynomialEquation| (((|Union| (|List| |#3|) "failed") (|List| |#3|) |#3|) "\\spad{solveLinearPolynomialEquation([f1, ..., fn], g)} (where the \\spad{fi} are relatively prime to each other) returns a list of \\spad{ai} such that \\spad{g/prod fi = sum ai/fi} or returns \"failed\" if no such list of \\spad{ai}\\spad{'s} exists."))) NIL NIL (-371 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}."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((-3803 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146)))) +((-2811 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-380)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-146)))) (-372 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 @@ -1494,7 +1494,7 @@ NIL NIL (-391) ((|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}."))) -((-4453 . T) (-4461 . T) (-2705 . T) (-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) +((-4453 . T) (-4461 . T) (-4142 . T) (-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) NIL (-392 |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}."))) @@ -1548,7 +1548,7 @@ NIL ((|constructor| (NIL "Code to manipulate Fortran Output Stack")) (|topFortranOutputStack| (((|String|)) "\\spad{topFortranOutputStack()} returns the top element of the Fortran output stack")) (|pushFortranOutputStack| (((|Void|) (|String|)) "\\spad{pushFortranOutputStack(f)} pushes \\spad{f} onto the Fortran output stack") (((|Void|) (|FileName|)) "\\spad{pushFortranOutputStack(f)} pushes \\spad{f} onto the Fortran output stack")) (|popFortranOutputStack| (((|Void|)) "\\spad{popFortranOutputStack()} pops the Fortran output stack")) (|showFortranOutputStack| (((|Stack| (|String|))) "\\spad{showFortranOutputStack()} returns the Fortran output stack")) (|clearFortranOutputStack| (((|Stack| (|String|))) "\\spad{clearFortranOutputStack()} clears the Fortran output stack"))) NIL NIL -(-405 -2191 UP UPUP R) +(-405 -1985 UP UPUP R) ((|constructor| (NIL "\\indented{1}{Finds the order of a divisor over a finite field} Author: Manuel Bronstein Date Created: 1988 Date Last Updated: 11 Jul 1990")) (|order| (((|NonNegativeInteger|) (|FiniteDivisor| |#1| |#2| |#3| |#4|)) "\\spad{order(x)} \\undocumented"))) NIL NIL @@ -1572,11 +1572,11 @@ NIL ((|constructor| (NIL "provides an interface to the boot code for calling Fortran")) (|setLegalFortranSourceExtensions| (((|List| (|String|)) (|List| (|String|))) "\\spad{setLegalFortranSourceExtensions(l)} \\undocumented{}")) (|outputAsFortran| (((|Void|) (|FileName|)) "\\spad{outputAsFortran(fn)} \\undocumented{}")) (|linkToFortran| (((|SExpression|) (|Symbol|) (|List| (|Symbol|)) (|TheSymbolTable|) (|List| (|Symbol|))) "\\spad{linkToFortran(s,l,t,lv)} \\undocumented{}") (((|SExpression|) (|Symbol|) (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|)))) (|List| (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|))))) (|List| (|Symbol|)) (|Symbol|)) "\\spad{linkToFortran(s,l,ll,lv,t)} \\undocumented{}") (((|SExpression|) (|Symbol|) (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|)))) (|List| (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|))))) (|List| (|Symbol|))) "\\spad{linkToFortran(s,l,ll,lv)} \\undocumented{}"))) NIL NIL -(-411 -4132 |returnType| -3925 |symbols|) +(-411 -2668 |returnType| -1951 |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 -(-412 -2191 UP) +(-412 -1985 UP) ((|constructor| (NIL "\\indented{1}{Full partial fraction expansion of rational functions} Author: Manuel Bronstein Date Created: 9 December 1992 Date Last Updated: June 18,{} 2010 References: \\spad{M}.Bronstein & \\spad{B}.Salvy,{} \\indented{12}{Full Partial Fraction Decomposition of Rational Functions,{}} \\indented{12}{in Proceedings of ISSAC'93,{} Kiev,{} ACM Press.}")) (|construct| (($ (|List| (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |center| |#2|) (|:| |num| |#2|)))) "\\spad{construct(l)} is the inverse of fracPart.")) (|fracPart| (((|List| (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |center| |#2|) (|:| |num| |#2|))) $) "\\spad{fracPart(f)} returns the list of summands of the fractional part of \\spad{f}.")) (|polyPart| ((|#2| $) "\\spad{polyPart(f)} returns the polynomial part of \\spad{f}.")) (|fullPartialFraction| (($ (|Fraction| |#2|)) "\\spad{fullPartialFraction(f)} returns \\spad{[p, [[j, Dj, Hj]...]]} such that \\spad{f = p(x) + \\sum_{[j,Dj,Hj] in l} \\sum_{Dj(a)=0} Hj(a)/(x - a)\\^j}.")) (+ (($ |#2| $) "\\spad{p + x} returns the sum of \\spad{p} and \\spad{x}"))) NIL NIL @@ -1598,7 +1598,7 @@ NIL ((|HasAttribute| |#1| (QUOTE -4453)) (|HasAttribute| |#1| (QUOTE -4461))) (-417) ((|constructor| (NIL "This category is intended as a model for floating point systems. A floating point system is a model for the real numbers. In fact,{} it is an approximation in the sense that not all real numbers are exactly representable by floating point numbers. A floating point system is characterized by the following: \\blankline \\indented{2}{1: \\spadfunFrom{base}{FloatingPointSystem} of the \\spadfunFrom{exponent}{FloatingPointSystem}.} \\indented{9}{(actual implemenations are usually binary or decimal)} \\indented{2}{2: \\spadfunFrom{precision}{FloatingPointSystem} of the \\spadfunFrom{mantissa}{FloatingPointSystem} (arbitrary or fixed)} \\indented{2}{3: rounding error for operations} \\blankline Because a Float is an approximation to the real numbers,{} even though it is defined to be a join of a Field and OrderedRing,{} some of the attributes do not hold. In particular associative(\\spad{\"+\"}) does not hold. Algorithms defined over a field need special considerations when the field is a floating point system.")) (|max| (($) "\\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\"."))) -((-2705 . T) (-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) +((-4142 . T) (-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) NIL (-418 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."))) @@ -1611,7 +1611,7 @@ NIL (-420 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."))) ((-4457 -12 (|has| |#1| (-6 -4468)) (|has| |#1| (-465)) (|has| |#1| (-6 -4457))) (-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| |#1| (QUOTE (-932))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-1201)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-844)))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549))))) (|HasCategory| |#1| (QUOTE (-1047))) (|HasCategory| |#1| (QUOTE (-836))) (|HasCategory| |#1| (QUOTE (-865))) (-3803 (|HasCategory| |#1| (QUOTE (-836))) (|HasCategory| |#1| (QUOTE (-865)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-844)))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-1177))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-391)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-844)))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (-3803 (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-844))))) (-3803 (|HasCategory| |#1| (LIST (QUOTE -654) (QUOTE (-577)))) (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-844))))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#1| (LIST (QUOTE -527) (QUOTE (-1201)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -297) (|devaluate| |#1|) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-844)))) (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-558))) (-12 (|HasAttribute| |#1| (QUOTE -4468)) (|HasAttribute| |#1| (QUOTE -4457)) (|HasCategory| |#1| (QUOTE (-465)))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -654) (QUOTE (-577)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (-3803 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-932))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-1201)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-844)))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549))))) (|HasCategory| |#1| (QUOTE (-1047))) (|HasCategory| |#1| (QUOTE (-836))) (|HasCategory| |#1| (QUOTE (-865))) (-2811 (|HasCategory| |#1| (QUOTE (-836))) (|HasCategory| |#1| (QUOTE (-865)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-844)))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-1177))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-391)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-844)))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (-2811 (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-844))))) (-2811 (|HasCategory| |#1| (LIST (QUOTE -654) (QUOTE (-577)))) (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-844))))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#1| (LIST (QUOTE -527) (QUOTE (-1201)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -297) (|devaluate| |#1|) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-844)))) (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-558))) (-12 (|HasAttribute| |#1| (QUOTE -4468)) (|HasAttribute| |#1| (QUOTE -4457)) (|HasCategory| |#1| (QUOTE (-465)))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -654) (QUOTE (-577)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (-2811 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-146))))) (-421 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| $)) "\\spad{basis()} returns the fixed \\spad{R}-module basis."))) NIL @@ -1632,11 +1632,11 @@ NIL ((|constructor| (NIL "\\indented{1}{Lifting of morphisms to fractional ideals.} Author: Manuel Bronstein Date Created: 1 Feb 1989 Date Last Updated: 27 Feb 1990 Keywords: ideal,{} algebra,{} module.")) (|map| (((|FractionalIdeal| |#5| |#6| |#7| |#8|) (|Mapping| |#5| |#1|) (|FractionalIdeal| |#1| |#2| |#3| |#4|)) "\\spad{map(f,i)} \\undocumented{}"))) NIL NIL -(-426 R -2191 UP A) +(-426 R -1985 UP A) ((|constructor| (NIL "Fractional ideals in a framed algebra.")) (|randomLC| ((|#4| (|NonNegativeInteger|) (|Vector| |#4|)) "\\spad{randomLC(n,x)} should be local but conditional.")) (|minimize| (($ $) "\\spad{minimize(I)} returns a reduced set of generators for \\spad{I}.")) (|denom| ((|#1| $) "\\spad{denom(1/d * (f1,...,fn))} returns \\spad{d}.")) (|numer| (((|Vector| |#4|) $) "\\spad{numer(1/d * (f1,...,fn))} = the vector \\spad{[f1,...,fn]}.")) (|norm| ((|#2| $) "\\spad{norm(I)} returns the norm of the ideal \\spad{I}.")) (|basis| (((|Vector| |#4|) $) "\\spad{basis((f1,...,fn))} returns the vector \\spad{[f1,...,fn]}.")) (|ideal| (($ (|Vector| |#4|)) "\\spad{ideal([f1,...,fn])} returns the ideal \\spad{(f1,...,fn)}."))) ((-4467 . T)) NIL -(-427 R -2191 UP A |ibasis|) +(-427 R -1985 UP A |ibasis|) ((|constructor| (NIL "Module representation of fractional ideals.")) (|module| (($ (|FractionalIdeal| |#1| |#2| |#3| |#4|)) "\\spad{module(I)} returns \\spad{I} viewed has a module over \\spad{R}.") (($ (|Vector| |#4|)) "\\spad{module([f1,...,fn])} = the module generated by \\spad{(f1,...,fn)} over \\spad{R}.")) (|norm| ((|#2| $) "\\spad{norm(f)} returns the norm of the module \\spad{f}.")) (|basis| (((|Vector| |#4|) $) "\\spad{basis((f1,...,fn))} = the vector \\spad{[f1,...,fn]}."))) NIL ((|HasCategory| |#4| (LIST (QUOTE -1063) (|devaluate| |#2|)))) @@ -1655,7 +1655,7 @@ NIL (-431 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."))) ((-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| |#1| (LIST (QUOTE -527) (QUOTE (-1201)) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -320) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -297) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-1246))) (-3803 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-1246)))) (|HasCategory| |#1| (QUOTE (-1047))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -527) (QUOTE (-1201)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -297) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-465)))) +((|HasCategory| |#1| (LIST (QUOTE -527) (QUOTE (-1201)) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -320) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -297) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-1246))) (-2811 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-1246)))) (|HasCategory| |#1| (QUOTE (-1047))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -527) (QUOTE (-1201)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -297) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-465)))) (-432 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 @@ -1684,7 +1684,7 @@ NIL ((|constructor| (NIL "A finite-set aggregate models the notion of a finite set,{} that is,{} a collection of elements characterized by membership,{} but not by order or multiplicity. See \\spadtype{Set} for an example.")) (|min| ((|#1| $) "\\spad{min(u)} returns the smallest element of aggregate \\spad{u}.")) (|max| ((|#1| $) "\\spad{max(u)} returns the largest element of aggregate \\spad{u}.")) (|universe| (($) "\\spad{universe()}\\$\\spad{D} returns the universal set for finite set aggregate \\spad{D}.")) (|complement| (($ $) "\\spad{complement(u)} returns the complement of the set \\spad{u},{} \\spadignore{i.e.} the set of all values not in \\spad{u}.")) (|cardinality| (((|NonNegativeInteger|) $) "\\spad{cardinality(u)} returns the number of elements of \\spad{u}. Note: \\axiom{cardinality(\\spad{u}) = \\#u}."))) ((-4470 . T) (-4460 . T) (-4471 . T)) NIL -(-439 R -2191) +(-439 R -1985) ((|constructor| (NIL "\\spadtype{FunctionSpaceComplexIntegration} provides functions for the indefinite integration of complex-valued functions.")) (|complexIntegrate| ((|#2| |#2| (|Symbol|)) "\\spad{complexIntegrate(f, x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable.")) (|internalIntegrate0| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate0 should} be a local function,{} but is conditional.")) (|internalIntegrate| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate(f, x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable."))) NIL NIL @@ -1692,7 +1692,7 @@ NIL ((|constructor| (NIL "\\indented{1}{Author: James Davenport} Date Created: 17 April 1992 Date Last Updated: Basic Functions: Related Constructors: Also See: AMS Classifications: Keywords: References: Description:")) (|makeCos| (($ |#2| |#1|) "\\spad{makeCos(e,r)} makes a sin expression with given argument and coefficient")) (|makeSin| (($ |#2| |#1|) "\\spad{makeSin(e,r)} makes a sin expression with given argument and coefficient")) (|coerce| (($ (|FourierComponent| |#2|)) "\\spad{coerce(c)} converts sin/cos terms into Fourier Series") (($ |#1|) "\\spad{coerce(r)} converts coefficients into Fourier Series"))) ((-4457 -12 (|has| |#1| (-6 -4457)) (|has| |#2| (-6 -4457))) (-4464 . T) (-4465 . T) (-4467 . T)) ((-12 (|HasAttribute| |#1| (QUOTE -4457)) (|HasAttribute| |#2| (QUOTE -4457)))) -(-441 R -2191) +(-441 R -1985) ((|constructor| (NIL "\\spadtype{FunctionSpaceIntegration} provides functions for the indefinite integration of real-valued functions.")) (|integrate| (((|Union| |#2| (|List| |#2|)) |#2| (|Symbol|)) "\\spad{integrate(f, x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a real variable."))) NIL NIL @@ -1702,17 +1702,17 @@ NIL ((|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-1074))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-486))) (|HasCategory| |#2| (QUOTE (-1137))) (|HasCategory| |#2| (LIST (QUOTE -627) (QUOTE (-549))))) (-443 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}."))) -((-4467 -3803 (|has| |#1| (-1074)) (|has| |#1| (-486))) (-4465 |has| |#1| (-174)) (-4464 |has| |#1| (-174)) ((-4472 "*") |has| |#1| (-569)) (-4463 |has| |#1| (-569)) (-4468 |has| |#1| (-569)) (-4462 |has| |#1| (-569))) +((-4467 -2811 (|has| |#1| (-1074)) (|has| |#1| (-486))) (-4465 |has| |#1| (-174)) (-4464 |has| |#1| (-174)) ((-4472 "*") |has| |#1| (-569)) (-4463 |has| |#1| (-569)) (-4468 |has| |#1| (-569)) (-4462 |has| |#1| (-569))) NIL -(-444 R -2191) +(-444 R -1985) ((|constructor| (NIL "Provides some special functions over an integral domain.")) (|iiabs| ((|#2| |#2|) "\\spad{iiabs(x)} should be local but conditional.")) (|iiGamma| ((|#2| |#2|) "\\spad{iiGamma(x)} should be local but conditional.")) (|airyBi| ((|#2| |#2|) "\\spad{airyBi(x)} returns the airybi function applied to \\spad{x}")) (|airyAi| ((|#2| |#2|) "\\spad{airyAi(x)} returns the airyai function applied to \\spad{x}")) (|besselK| ((|#2| |#2| |#2|) "\\spad{besselK(x,y)} returns the besselk function applied to \\spad{x} and \\spad{y}")) (|besselI| ((|#2| |#2| |#2|) "\\spad{besselI(x,y)} returns the besseli function applied to \\spad{x} and \\spad{y}")) (|besselY| ((|#2| |#2| |#2|) "\\spad{besselY(x,y)} returns the bessely function applied to \\spad{x} and \\spad{y}")) (|besselJ| ((|#2| |#2| |#2|) "\\spad{besselJ(x,y)} returns the besselj function applied to \\spad{x} and \\spad{y}")) (|polygamma| ((|#2| |#2| |#2|) "\\spad{polygamma(x,y)} returns the polygamma function applied to \\spad{x} and \\spad{y}")) (|digamma| ((|#2| |#2|) "\\spad{digamma(x)} returns the digamma function applied to \\spad{x}")) (|Beta| ((|#2| |#2| |#2|) "\\spad{Beta(x,y)} returns the beta function applied to \\spad{x} and \\spad{y}")) (|Gamma| ((|#2| |#2| |#2|) "\\spad{Gamma(a,x)} returns the incomplete Gamma function applied to a and \\spad{x}") ((|#2| |#2|) "\\spad{Gamma(f)} returns the formal Gamma function applied to \\spad{f}")) (|abs| ((|#2| |#2|) "\\spad{abs(f)} returns the absolute value operator applied to \\spad{f}")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\spad{F}; error if \\spad{op} is not a special function operator")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} is \\spad{true} if \\spad{op} is a special function operator."))) NIL NIL -(-445 R -2191) +(-445 R -1985) ((|constructor| (NIL "FunctionsSpacePrimitiveElement provides functions to compute primitive elements in functions spaces.")) (|primitiveElement| (((|Record| (|:| |primelt| |#2|) (|:| |pol1| (|SparseUnivariatePolynomial| |#2|)) (|:| |pol2| (|SparseUnivariatePolynomial| |#2|)) (|:| |prim| (|SparseUnivariatePolynomial| |#2|))) |#2| |#2|) "\\spad{primitiveElement(a1, a2)} returns \\spad{[a, q1, q2, q]} such that \\spad{k(a1, a2) = k(a)},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. The minimal polynomial for a2 may involve \\spad{a1},{} but the minimal polynomial for \\spad{a1} may not involve a2; This operations uses \\spadfun{resultant}.") (((|Record| (|:| |primelt| |#2|) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#2|))) (|:| |prim| (|SparseUnivariatePolynomial| |#2|))) (|List| |#2|)) "\\spad{primitiveElement([a1,...,an])} returns \\spad{[a, [q1,...,qn], q]} such that then \\spad{k(a1,...,an) = k(a)},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}."))) NIL ((|HasCategory| |#2| (QUOTE (-27)))) -(-446 R -2191) +(-446 R -1985) ((|constructor| (NIL "This package provides function which replaces transcendental kernels in a function space by random integers. The correspondence between the kernels and the integers is fixed between calls to new().")) (|newReduc| (((|Void|)) "\\spad{newReduc()} \\undocumented")) (|bringDown| (((|SparseUnivariatePolynomial| (|Fraction| (|Integer|))) |#2| (|Kernel| |#2|)) "\\spad{bringDown(f,k)} \\undocumented") (((|Fraction| (|Integer|)) |#2|) "\\spad{bringDown(f)} \\undocumented"))) NIL NIL @@ -1720,7 +1720,7 @@ NIL ((|constructor| (NIL "Creates and manipulates objects which correspond to the basic FORTRAN data types: REAL,{} INTEGER,{} COMPLEX,{} LOGICAL and CHARACTER")) (= (((|Boolean|) $ $) "\\spad{x=y} tests for equality")) (|logical?| (((|Boolean|) $) "\\spad{logical?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type LOGICAL.")) (|character?| (((|Boolean|) $) "\\spad{character?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type CHARACTER.")) (|doubleComplex?| (((|Boolean|) $) "\\spad{doubleComplex?(t)} tests whether \\spad{t} is equivalent to the (non-standard) FORTRAN type DOUBLE COMPLEX.")) (|complex?| (((|Boolean|) $) "\\spad{complex?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type COMPLEX.")) (|integer?| (((|Boolean|) $) "\\spad{integer?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type INTEGER.")) (|double?| (((|Boolean|) $) "\\spad{double?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type DOUBLE PRECISION")) (|real?| (((|Boolean|) $) "\\spad{real?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type REAL.")) (|coerce| (((|SExpression|) $) "\\spad{coerce(x)} returns the \\spad{s}-expression associated with \\spad{x}") (((|Symbol|) $) "\\spad{coerce(x)} returns the symbol associated with \\spad{x}") (($ (|Symbol|)) "\\spad{coerce(s)} transforms the symbol \\spad{s} into an element of FortranScalarType provided \\spad{s} is one of real,{} complex,{}double precision,{} logical,{} integer,{} character,{} REAL,{} COMPLEX,{} LOGICAL,{} INTEGER,{} CHARACTER,{} DOUBLE PRECISION") (($ (|String|)) "\\spad{coerce(s)} transforms the string \\spad{s} into an element of FortranScalarType provided \\spad{s} is one of \"real\",{} \"double precision\",{} \"complex\",{} \"logical\",{} \"integer\",{} \"character\",{} \"REAL\",{} \"COMPLEX\",{} \"LOGICAL\",{} \"INTEGER\",{} \"CHARACTER\",{} \"DOUBLE PRECISION\""))) NIL NIL -(-448 R -2191 UP) +(-448 R -1985 UP) ((|constructor| (NIL "\\indented{1}{Used internally by IR2F} Author: Manuel Bronstein Date Created: 12 May 1988 Date Last Updated: 22 September 1993 Keywords: function,{} space,{} polynomial,{} factoring")) (|anfactor| (((|Union| (|Factored| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))) "failed") |#3|) "\\spad{anfactor(p)} tries to factor \\spad{p} over algebraic numbers,{} returning \"failed\" if it cannot")) (|UP2ifCan| (((|Union| (|:| |overq| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) (|:| |overan| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))) (|:| |failed| (|Boolean|))) |#3|) "\\spad{UP2ifCan(x)} should be local but conditional.")) (|qfactor| (((|Union| (|Factored| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) "failed") |#3|) "\\spad{qfactor(p)} tries to factor \\spad{p} over fractions of integers,{} returning \"failed\" if it cannot")) (|ffactor| (((|Factored| |#3|) |#3|) "\\spad{ffactor(p)} tries to factor a univariate polynomial \\spad{p} over \\spad{F}"))) NIL ((|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-48))))) @@ -1752,7 +1752,7 @@ NIL ((|constructor| (NIL "\\spadtype{GaloisGroupFactorizer} provides functions to factor resolvents.")) (|btwFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|) (|Set| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{btwFact(p,sqf,pd,r)} returns the factorization of \\spad{p},{} the result is a Record such that \\spad{contp=}content \\spad{p},{} \\spad{factors=}List of irreducible factors of \\spad{p} with exponent. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors). \\spad{pd} is the \\spadtype{Set} of possible degrees. \\spad{r} is a lower bound for the number of factors of \\spad{p}. Please do not use this function in your code because its design may change.")) (|henselFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|)) "\\spad{henselFact(p,sqf)} returns the factorization of \\spad{p},{} the result is a Record such that \\spad{contp=}content \\spad{p},{} \\spad{factors=}List of irreducible factors of \\spad{p} with exponent. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors).")) (|factorOfDegree| (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|) (|Boolean|)) "\\spad{factorOfDegree(d,p,listOfDegrees,r,sqf)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees},{} and that \\spad{p} has at least \\spad{r} factors. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors).") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factorOfDegree(d,p,listOfDegrees,r)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees},{} and that \\spad{p} has at least \\spad{r} factors.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factorOfDegree(d,p,listOfDegrees)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|NonNegativeInteger|)) "\\spad{factorOfDegree(d,p,r)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has at least \\spad{r} factors.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1|) "\\spad{factorOfDegree(d,p)} returns a factor of \\spad{p} of degree \\spad{d}.")) (|factorSquareFree| (((|Factored| |#1|) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,d,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{d} divides the degree of all factors of \\spad{p} and that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,listOfDegrees,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees} and that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factorSquareFree(p,listOfDegrees)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(p)} returns the factorization of \\spad{p} which is supposed not having any repeated factor (this is not checked).")) (|factor| (((|Factored| |#1|) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factor(p,d,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{d} divides the degree of all factors of \\spad{p} and that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factor(p,listOfDegrees,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees} and that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factor(p,listOfDegrees)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}.") (((|Factored| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{factor(p,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1|) "\\spad{factor(p)} returns the factorization of \\spad{p} over the integers.")) (|tryFunctionalDecomposition| (((|Boolean|) (|Boolean|)) "\\spad{tryFunctionalDecomposition(b)} chooses whether factorizers have to look for functional decomposition of polynomials (\\spad{true}) or not (\\spad{false}). Returns the previous value.")) (|tryFunctionalDecomposition?| (((|Boolean|)) "\\spad{tryFunctionalDecomposition?()} returns \\spad{true} if factorizers try functional decomposition of polynomials before factoring them.")) (|eisensteinIrreducible?| (((|Boolean|) |#1|) "\\spad{eisensteinIrreducible?(p)} returns \\spad{true} if \\spad{p} can be shown to be irreducible by Eisenstein\\spad{'s} criterion,{} \\spad{false} is inconclusive.")) (|useEisensteinCriterion| (((|Boolean|) (|Boolean|)) "\\spad{useEisensteinCriterion(b)} chooses whether factorizers check Eisenstein\\spad{'s} criterion before factoring: \\spad{true} for using it,{} \\spad{false} else. Returns the previous value.")) (|useEisensteinCriterion?| (((|Boolean|)) "\\spad{useEisensteinCriterion?()} returns \\spad{true} if factorizers check Eisenstein\\spad{'s} criterion before factoring.")) (|useSingleFactorBound| (((|Boolean|) (|Boolean|)) "\\spad{useSingleFactorBound(b)} chooses the algorithm to be used by the factorizers: \\spad{true} for algorithm with single factor bound,{} \\spad{false} for algorithm with overall bound. Returns the previous value.")) (|useSingleFactorBound?| (((|Boolean|)) "\\spad{useSingleFactorBound?()} returns \\spad{true} if algorithm with single factor bound is used for factorization,{} \\spad{false} for algorithm with overall bound.")) (|modularFactor| (((|Record| (|:| |prime| (|Integer|)) (|:| |factors| (|List| |#1|))) |#1|) "\\spad{modularFactor(f)} chooses a \"good\" prime and returns the factorization of \\spad{f} modulo this prime in a form that may be used by \\spadfunFrom{completeHensel}{GeneralHenselPackage}. If prime is zero it means that \\spad{f} has been proved to be irreducible over the integers or that \\spad{f} is a unit (\\spadignore{i.e.} 1 or \\spad{-1}). \\spad{f} shall be primitive (\\spadignore{i.e.} content(\\spad{p})\\spad{=1}) and square free (\\spadignore{i.e.} without repeated factors).")) (|numberOfFactors| (((|NonNegativeInteger|) (|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|))))) "\\spad{numberOfFactors(ddfactorization)} returns the number of factors of the polynomial \\spad{f} modulo \\spad{p} where \\spad{ddfactorization} is the distinct degree factorization of \\spad{f} computed by \\spadfunFrom{ddFact}{ModularDistinctDegreeFactorizer} for some prime \\spad{p}.")) (|stopMusserTrials| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{stopMusserTrials(n)} sets to \\spad{n} the bound on the number of factors for which \\spadfun{modularFactor} stops to look for an other prime. You will have to remember that the step of recombining the extraneous factors may take up to \\spad{2**n} trials. Returns the previous value.") (((|PositiveInteger|)) "\\spad{stopMusserTrials()} returns the bound on the number of factors for which \\spadfun{modularFactor} stops to look for an other prime. You will have to remember that the step of recombining the extraneous factors may take up to \\spad{2**stopMusserTrials()} trials.")) (|musserTrials| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{musserTrials(n)} sets to \\spad{n} the number of primes to be tried in \\spadfun{modularFactor} and returns the previous value.") (((|PositiveInteger|)) "\\spad{musserTrials()} returns the number of primes that are tried in \\spadfun{modularFactor}.")) (|degreePartition| (((|Multiset| (|NonNegativeInteger|)) (|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|))))) "\\spad{degreePartition(ddfactorization)} returns the degree partition of the polynomial \\spad{f} modulo \\spad{p} where \\spad{ddfactorization} is the distinct degree factorization of \\spad{f} computed by \\spadfunFrom{ddFact}{ModularDistinctDegreeFactorizer} for some prime \\spad{p}.")) (|makeFR| (((|Factored| |#1|) (|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|))))))) "\\spad{makeFR(flist)} turns the final factorization of henselFact into a \\spadtype{Factored} object."))) NIL NIL -(-456 R UP -2191) +(-456 R UP -1985) ((|constructor| (NIL "\\spadtype{GaloisGroupFactorizationUtilities} provides functions that will be used by the factorizer.")) (|length| ((|#3| |#2|) "\\spad{length(p)} returns the sum of the absolute values of the coefficients of the polynomial \\spad{p}.")) (|height| ((|#3| |#2|) "\\spad{height(p)} returns the maximal absolute value of the coefficients of the polynomial \\spad{p}.")) (|infinityNorm| ((|#3| |#2|) "\\spad{infinityNorm(f)} returns the maximal absolute value of the coefficients of the polynomial \\spad{f}.")) (|quadraticNorm| ((|#3| |#2|) "\\spad{quadraticNorm(f)} returns the \\spad{l2} norm of the polynomial \\spad{f}.")) (|norm| ((|#3| |#2| (|PositiveInteger|)) "\\spad{norm(f,p)} returns the \\spad{lp} norm of the polynomial \\spad{f}.")) (|singleFactorBound| (((|Integer|) |#2|) "\\spad{singleFactorBound(p,r)} returns a bound on the infinite norm of the factor of \\spad{p} with smallest Bombieri\\spad{'s} norm. \\spad{p} shall be of degree higher or equal to 2.") (((|Integer|) |#2| (|NonNegativeInteger|)) "\\spad{singleFactorBound(p,r)} returns a bound on the infinite norm of the factor of \\spad{p} with smallest Bombieri\\spad{'s} norm. \\spad{r} is a lower bound for the number of factors of \\spad{p}. \\spad{p} shall be of degree higher or equal to 2.")) (|rootBound| (((|Integer|) |#2|) "\\spad{rootBound(p)} returns a bound on the largest norm of the complex roots of \\spad{p}.")) (|bombieriNorm| ((|#3| |#2| (|PositiveInteger|)) "\\spad{bombieriNorm(p,n)} returns the \\spad{n}th Bombieri\\spad{'s} norm of \\spad{p}.") ((|#3| |#2|) "\\spad{bombieriNorm(p)} returns quadratic Bombieri\\spad{'s} norm of \\spad{p}.")) (|beauzamyBound| (((|Integer|) |#2|) "\\spad{beauzamyBound(p)} returns a bound on the larger coefficient of any factor of \\spad{p}."))) NIL NIL @@ -1799,7 +1799,7 @@ NIL (-467 |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"))) (((-4472 "*") |has| |#2| (-174)) (-4463 |has| |#2| (-569)) (-4468 |has| |#2| (-6 -4468)) (-4465 . T) (-4464 . T) (-4467 . T)) -((|HasCategory| |#2| (QUOTE (-932))) (-3803 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-932)))) (-3803 (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-932)))) (-3803 (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-932)))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-174))) (-3803 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-569)))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-391))))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-577))))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391)))))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577)))))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#2| (LIST (QUOTE -627) (QUOTE (-549))))) (|HasCategory| |#2| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-577)))) (-3803 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (QUOTE (-375))) (|HasAttribute| |#2| (QUOTE -4468)) (|HasCategory| |#2| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-932)))) (-3803 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-932)))) (|HasCategory| |#2| (QUOTE (-146))))) +((|HasCategory| |#2| (QUOTE (-932))) (-2811 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-932)))) (-2811 (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-932)))) (-2811 (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-932)))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-174))) (-2811 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-569)))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-391))))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-577))))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391)))))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577)))))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#2| (LIST (QUOTE -627) (QUOTE (-549))))) (|HasCategory| |#2| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-577)))) (-2811 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (QUOTE (-375))) (|HasAttribute| |#2| (QUOTE -4468)) (|HasCategory| |#2| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-932)))) (-2811 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-932)))) (|HasCategory| |#2| (QUOTE (-146))))) (-468 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 @@ -1864,7 +1864,7 @@ NIL ((|constructor| (NIL "GradedModule(\\spad{R},{}\\spad{E}) denotes ``E-graded \\spad{R}-module\\spad{''},{} \\spadignore{i.e.} collection of \\spad{R}-modules indexed by an abelian monoid \\spad{E}. An element \\spad{g} of \\spad{G[s]} for some specific \\spad{s} in \\spad{E} is said to be an element of \\spad{G} with {\\em degree} \\spad{s}. Sums are defined in each module \\spad{G[s]} so two elements of \\spad{G} have a sum if they have the same degree. \\blankline Morphisms can be defined and composed by degree to give the mathematical category of graded modules.")) (+ (($ $ $) "\\spad{g+h} is the sum of \\spad{g} and \\spad{h} in the module of elements of the same degree as \\spad{g} and \\spad{h}. Error: if \\spad{g} and \\spad{h} have different degrees.")) (- (($ $ $) "\\spad{g-h} is the difference of \\spad{g} and \\spad{h} in the module of elements of the same degree as \\spad{g} and \\spad{h}. Error: if \\spad{g} and \\spad{h} have different degrees.") (($ $) "\\spad{-g} is the additive inverse of \\spad{g} in the module of elements of the same grade as \\spad{g}.")) (* (($ $ |#1|) "\\spad{g*r} is right module multiplication.") (($ |#1| $) "\\spad{r*g} is left module multiplication.")) ((|Zero|) (($) "0 denotes the zero of degree 0.")) (|degree| ((|#2| $) "\\spad{degree(g)} names the degree of \\spad{g}. The set of all elements of a given degree form an \\spad{R}-module."))) NIL NIL -(-484 |lv| -2191 R) +(-484 |lv| -1985 R) ((|constructor| (NIL "\\indented{1}{Author : \\spad{P}.Gianni,{} Summer \\spad{'88},{} revised November \\spad{'89}} Solve systems of polynomial equations using Groebner bases Total order Groebner bases are computed and then converted to lex ones This package is mostly intended for internal use.")) (|genericPosition| (((|Record| (|:| |dpolys| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|:| |coords| (|List| (|Integer|)))) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|OrderedVariableList| |#1|))) "\\spad{genericPosition(lp,lv)} puts a radical zero dimensional ideal in general position,{} for system \\spad{lp} in variables \\spad{lv}.")) (|testDim| (((|Union| (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) "failed") (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|OrderedVariableList| |#1|))) "\\spad{testDim(lp,lv)} tests if the polynomial system \\spad{lp} in variables \\spad{lv} is zero dimensional.")) (|groebSolve| (((|List| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|OrderedVariableList| |#1|))) "\\spad{groebSolve(lp,lv)} reduces the polynomial system \\spad{lp} in variables \\spad{lv} to triangular form. Algorithm based on groebner bases algorithm with linear algebra for change of ordering. Preprocessing for the general solver. The polynomials in input are of type \\spadtype{DMP}."))) NIL NIL @@ -1879,11 +1879,11 @@ NIL (-487 |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.")) (|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."))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4468 |has| |#1| (-375)) (-4462 |has| |#1| (-375)) (-4464 . T) (-4465 . T) (-4467 . 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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)}"))) ((-4471 . T) (-4470 . T)) @@ -1899,7 +1899,7 @@ NIL (-492 |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."))) ((-4470 . T) (-4471 . 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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 @@ -1907,11 +1907,11 @@ NIL (-494 |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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(|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 @@ -1919,8 +1919,8 @@ NIL (-497 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}."))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) -(-498 -2191 UP UPUP R) +((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) +(-498 -1985 UP UPUP R) ((|constructor| (NIL "This domains implements finite rational divisors on an hyperelliptic curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve. The equation of the curve must be \\spad{y^2} = \\spad{f}(\\spad{x}) and \\spad{f} must have odd degree."))) NIL NIL @@ -1931,7 +1931,7 @@ NIL (-500) ((|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."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . 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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|) $) "\\spad{map(f,u)} returns a copy of \\spad{u} with each element \\spad{x} replaced by \\spad{f}(\\spad{x}). For collections,{} \\axiom{map(\\spad{f},{}\\spad{u}) = [\\spad{f}(\\spad{x}) for \\spad{x} in \\spad{u}]}."))) NIL @@ -1956,7 +1956,7 @@ NIL ((|constructor| (NIL "Category for the hyperbolic trigonometric functions.")) (|tanh| (($ $) "\\spad{tanh(x)} returns the hyperbolic tangent of \\spad{x}.")) (|sinh| (($ $) "\\spad{sinh(x)} returns the hyperbolic sine of \\spad{x}.")) (|sech| (($ $) "\\spad{sech(x)} returns the hyperbolic secant of \\spad{x}.")) (|csch| (($ $) "\\spad{csch(x)} returns the hyperbolic cosecant of \\spad{x}.")) (|coth| (($ $) "\\spad{coth(x)} returns the hyperbolic cotangent of \\spad{x}.")) (|cosh| (($ $) "\\spad{cosh(x)} returns the hyperbolic cosine of \\spad{x}."))) NIL NIL -(-507 -2191 UP |AlExt| |AlPol|) +(-507 -1985 UP |AlExt| |AlPol|) ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in an algebraic extension of a field over which we can factor UP\\spad{'s}.")) (|factor| (((|Factored| |#4|) |#4| (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{factor(p, f)} returns a prime factorisation of \\spad{p}; \\spad{f} is a factorisation map for elements of UP."))) NIL NIL @@ -1967,16 +1967,16 @@ NIL (-509 S |mn|) ((|constructor| (NIL "\\indented{1}{Author Micheal Monagan Aug/87} This is the basic one dimensional array data type."))) ((-4471 . T) (-4470 . T)) -((-3803 (-12 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-3803 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) +((-2811 (-12 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-2811 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-510 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."))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) (-511 K R UP) ((|constructor| (NIL "\\indented{1}{Author: Clifton Williamson} Date Created: 9 August 1993 Date Last Updated: 3 December 1993 Basic Operations: chineseRemainder,{} factorList Related Domains: PAdicWildFunctionFieldIntegralBasis(\\spad{K},{}\\spad{R},{}UP,{}\\spad{F}) Also See: WildFunctionFieldIntegralBasis,{} FunctionFieldIntegralBasis AMS Classifications: Keywords: function field,{} finite field,{} integral basis Examples: References: Description:")) (|chineseRemainder| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) (|List| |#3|) (|List| (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) (|NonNegativeInteger|)) "\\spad{chineseRemainder(lu,lr,n)} \\undocumented")) (|listConjugateBases| (((|List| (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{listConjugateBases(bas,q,n)} returns the list \\spad{[bas,bas^Frob,bas^(Frob^2),...bas^(Frob^(n-1))]},{} where \\spad{Frob} raises the coefficients of all polynomials appearing in the basis \\spad{bas} to the \\spad{q}th power.")) (|factorList| (((|List| (|SparseUnivariatePolynomial| |#1|)) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factorList(k,n,m,j)} \\undocumented"))) NIL NIL -(-512 R UP -2191) +(-512 R UP -1985) ((|constructor| (NIL "This package contains functions used in the packages FunctionFieldIntegralBasis and NumberFieldIntegralBasis.")) (|moduleSum| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) (|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) (|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|)))) "\\spad{moduleSum(m1,m2)} returns the sum of two modules in the framed algebra \\spad{F}. Each module \\spad{mi} is represented as follows: \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn} and \\spad{mi} is a record \\spad{[basis,basisDen,basisInv]}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then a basis \\spad{v1,...,vn} for \\spad{mi} is given by \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|idealiserMatrix| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{idealiserMatrix(m1, m2)} returns the matrix representing the linear conditions on the Ring associatied with an ideal defined by \\spad{m1} and \\spad{m2}.")) (|idealiser| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{idealiser(m1,m2,d)} computes the order of an ideal defined by \\spad{m1} and \\spad{m2} where \\spad{d} is the known part of the denominator") (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{idealiser(m1,m2)} computes the order of an ideal defined by \\spad{m1} and \\spad{m2}")) (|leastPower| (((|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{leastPower(p,n)} returns \\spad{e},{} where \\spad{e} is the smallest integer such that \\spad{p **e >= n}")) (|divideIfCan!| ((|#1| (|Matrix| |#1|) (|Matrix| |#1|) |#1| (|Integer|)) "\\spad{divideIfCan!(matrix,matrixOut,prime,n)} attempts to divide the entries of \\spad{matrix} by \\spad{prime} and store the result in \\spad{matrixOut}. If it is successful,{} 1 is returned and if not,{} \\spad{prime} is returned. Here both \\spad{matrix} and \\spad{matrixOut} are \\spad{n}-by-\\spad{n} upper triangular matrices.")) (|matrixGcd| ((|#1| (|Matrix| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{matrixGcd(mat,sing,n)} is \\spad{gcd(sing,g)} where \\spad{g} is the \\spad{gcd} of the entries of the \\spad{n}-by-\\spad{n} upper-triangular matrix \\spad{mat}.")) (|diagonalProduct| ((|#1| (|Matrix| |#1|)) "\\spad{diagonalProduct(m)} returns the product of the elements on the diagonal of the matrix \\spad{m}")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}"))) NIL NIL @@ -1996,7 +1996,7 @@ NIL ((|constructor| (NIL "InnerCommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#4|) "\\spad{splitDenominator([q1,...,qn])} returns \\spad{[[p1,...,pn], d]} such that \\spad{qi = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|clearDenominator| ((|#3| |#4|) "\\spad{clearDenominator([q1,...,qn])} returns \\spad{[p1,...,pn]} such that \\spad{qi = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|commonDenominator| ((|#1| |#4|) "\\spad{commonDenominator([q1,...,qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}\\spad{qn}."))) NIL NIL -(-517 -2191 |Expon| |VarSet| |DPoly|) +(-517 -1985 |Expon| |VarSet| |DPoly|) ((|constructor| (NIL "This domain represents polynomial ideals with coefficients in any field and supports the basic ideal operations,{} including intersection sum and quotient. An ideal is represented by a list of polynomials (the generators of the ideal) and a boolean that is \\spad{true} if the generators are a Groebner basis. The algorithms used are based on Groebner basis computations. The ordering is determined by the datatype of the input polynomials. Users may use refinements of total degree orderings.")) (|relationsIdeal| (((|SuchThat| (|List| (|Polynomial| |#1|)) (|List| (|Equation| (|Polynomial| |#1|)))) (|List| |#4|)) "\\spad{relationsIdeal(polyList)} returns the ideal of relations among the polynomials in \\spad{polyList}.")) (|saturate| (($ $ |#4| (|List| |#3|)) "\\spad{saturate(I,f,lvar)} is the saturation with respect to the prime principal ideal which is generated by \\spad{f} in the polynomial ring \\spad{F[lvar]}.") (($ $ |#4|) "\\spad{saturate(I,f)} is the saturation of the ideal \\spad{I} with respect to the multiplicative set generated by the polynomial \\spad{f}.")) (|coerce| (($ (|List| |#4|)) "\\spad{coerce(polyList)} converts the list of polynomials \\spad{polyList} to an ideal.")) (|generators| (((|List| |#4|) $) "\\spad{generators(I)} returns a list of generators for the ideal \\spad{I}.")) (|groebner?| (((|Boolean|) $) "\\spad{groebner?(I)} tests if the generators of the ideal \\spad{I} are a Groebner basis.")) (|groebnerIdeal| (($ (|List| |#4|)) "\\spad{groebnerIdeal(polyList)} constructs the ideal generated by the list of polynomials \\spad{polyList} which are assumed to be a Groebner basis. Note: this operation avoids a Groebner basis computation.")) (|ideal| (($ (|List| |#4|)) "\\spad{ideal(polyList)} constructs the ideal generated by the list of polynomials \\spad{polyList}.")) (|leadingIdeal| (($ $) "\\spad{leadingIdeal(I)} is the ideal generated by the leading terms of the elements of the ideal \\spad{I}.")) (|dimension| (((|Integer|) $) "\\spad{dimension(I)} gives the dimension of the ideal \\spad{I}. in the ring \\spad{F[lvar]},{} where lvar are the variables appearing in \\spad{I}") (((|Integer|) $ (|List| |#3|)) "\\spad{dimension(I,lvar)} gives the dimension of the ideal \\spad{I},{} in the ring \\spad{F[lvar]}")) (|backOldPos| (($ (|Record| (|:| |mval| (|Matrix| |#1|)) (|:| |invmval| (|Matrix| |#1|)) (|:| |genIdeal| $))) "\\spad{backOldPos(genPos)} takes the result produced by \\spadfunFrom{generalPosition}{PolynomialIdeals} and performs the inverse transformation,{} returning the original ideal \\spad{backOldPos(generalPosition(I,listvar))} = \\spad{I}.")) (|generalPosition| (((|Record| (|:| |mval| (|Matrix| |#1|)) (|:| |invmval| (|Matrix| |#1|)) (|:| |genIdeal| $)) $ (|List| |#3|)) "\\spad{generalPosition(I,listvar)} perform a random linear transformation on the variables in \\spad{listvar} and returns the transformed ideal along with the change of basis matrix.")) (|groebner| (($ $) "\\spad{groebner(I)} returns a set of generators of \\spad{I} that are a Groebner basis for \\spad{I}.")) (|quotient| (($ $ |#4|) "\\spad{quotient(I,f)} computes the quotient of the ideal \\spad{I} by the principal ideal generated by the polynomial \\spad{f},{} \\spad{(I:(f))}.") (($ $ $) "\\spad{quotient(I,J)} computes the quotient of the ideals \\spad{I} and \\spad{J},{} \\spad{(I:J)}.")) (|intersect| (($ (|List| $)) "\\spad{intersect(LI)} computes the intersection of the list of ideals \\spad{LI}.") (($ $ $) "\\spad{intersect(I,J)} computes the intersection of the ideals \\spad{I} and \\spad{J}.")) (|zeroDim?| (((|Boolean|) $) "\\spad{zeroDim?(I)} tests if the ideal \\spad{I} is zero dimensional,{} \\spadignore{i.e.} all its associated primes are maximal,{} in the ring \\spad{F[lvar]},{} where lvar are the variables appearing in \\spad{I}") (((|Boolean|) $ (|List| |#3|)) "\\spad{zeroDim?(I,lvar)} tests if the ideal \\spad{I} is zero dimensional,{} \\spadignore{i.e.} all its associated primes are maximal,{} in the ring \\spad{F[lvar]}")) (|inRadical?| (((|Boolean|) |#4| $) "\\spad{inRadical?(f,I)} tests if some power of the polynomial \\spad{f} belongs to the ideal \\spad{I}.")) (|in?| (((|Boolean|) $ $) "\\spad{in?(I,J)} tests if the ideal \\spad{I} is contained in the ideal \\spad{J}.")) (|element?| (((|Boolean|) |#4| $) "\\spad{element?(f,I)} tests whether the polynomial \\spad{f} belongs to the ideal \\spad{I}.")) (|zero?| (((|Boolean|) $) "\\spad{zero?(I)} tests whether the ideal \\spad{I} is the zero ideal")) (|one?| (((|Boolean|) $) "\\spad{one?(I)} tests whether the ideal \\spad{I} is the unit ideal,{} \\spadignore{i.e.} contains 1.")) (+ (($ $ $) "\\spad{I+J} computes the ideal generated by the union of \\spad{I} and \\spad{J}.")) (** (($ $ (|NonNegativeInteger|)) "\\spad{I**n} computes the \\spad{n}th power of the ideal \\spad{I}.")) (* (($ $ $) "\\spad{I*J} computes the product of the ideal \\spad{I} and \\spad{J}."))) NIL ((|HasCategory| |#3| (LIST (QUOTE -627) (QUOTE (-1201))))) @@ -2047,7 +2047,7 @@ NIL (-529 S |mn|) ((|constructor| (NIL "\\indented{1}{Author: Michael Monagan July/87,{} modified \\spad{SMW} June/91} A FlexibleArray is the notion of an array intended to allow for growth at the end only. Hence the following efficient operations \\indented{2}{\\spad{append(x,a)} meaning append item \\spad{x} at the end of the array \\spad{a}} \\indented{2}{\\spad{delete(a,n)} meaning delete the last item from the array \\spad{a}} Flexible arrays support the other operations inherited from \\spadtype{ExtensibleLinearAggregate}. However,{} these are not efficient. Flexible arrays combine the \\spad{O(1)} access time property of arrays with growing and shrinking at the end in \\spad{O(1)} (average) time. This is done by using an ordinary array which may have zero or more empty slots at the end. When the array becomes full it is copied into a new larger (50\\% larger) array. Conversely,{} when the array becomes less than 1/2 full,{} it is copied into a smaller array. Flexible arrays provide for an efficient implementation of many data structures in particular heaps,{} stacks and sets.")) (|shrinkable| (((|Boolean|) (|Boolean|)) "\\spad{shrinkable(b)} sets the shrinkable attribute of flexible arrays to \\spad{b} and returns the previous value")) (|physicalLength!| (($ $ (|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}"))) ((-4471 . T) (-4470 . T)) -((-3803 (-12 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-3803 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) +((-2811 (-12 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-2811 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-530) ((|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 @@ -2055,15 +2055,15 @@ NIL (-531 |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}."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((-3803 (|HasCategory| (-594 |#1|) (QUOTE (-146))) (|HasCategory| (-594 |#1|) (QUOTE (-380)))) (|HasCategory| (-594 |#1|) (QUOTE (-148))) (|HasCategory| (-594 |#1|) (QUOTE (-380))) (|HasCategory| (-594 |#1|) (QUOTE (-146)))) +((-2811 (|HasCategory| (-594 |#1|) (QUOTE (-146))) (|HasCategory| (-594 |#1|) (QUOTE (-380)))) (|HasCategory| (-594 |#1|) (QUOTE (-148))) (|HasCategory| (-594 |#1|) (QUOTE (-380))) (|HasCategory| (-594 |#1|) (QUOTE (-146)))) (-532 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}."))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) (-533 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."))) ((-4471 . T) (-4470 . T)) -((-3803 (-12 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-3803 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) +((-2811 (-12 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-2811 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-534 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 @@ -2075,7 +2075,7 @@ NIL (-536 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."))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-569))) (|HasAttribute| |#1| (QUOTE (-4472 "*"))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-569))) (|HasAttribute| |#1| (QUOTE (-4472 "*"))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) (-537) ((|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 @@ -2108,7 +2108,7 @@ NIL ((|constructor| (NIL "\\indented{2}{IndexedExponents of an ordered set of variables gives a representation} for the degree of polynomials in commuting variables. It gives an ordered pairing of non negative integer exponents with variables"))) NIL ((-12 (|HasCategory| (-787) (QUOTE (-1125))) (|HasCategory| |#1| (QUOTE (-1125))))) -(-545 K -2191 |Par|) +(-545 K -1985 |Par|) ((|constructor| (NIL "This package is the inner package to be used by NumericRealEigenPackage and NumericComplexEigenPackage for the computation of numeric eigenvalues and eigenvectors.")) (|innerEigenvectors| (((|List| (|Record| (|:| |outval| |#2|) (|:| |outmult| (|Integer|)) (|:| |outvect| (|List| (|Matrix| |#2|))))) (|Matrix| |#1|) |#3| (|Mapping| (|Factored| (|SparseUnivariatePolynomial| |#1|)) (|SparseUnivariatePolynomial| |#1|))) "\\spad{innerEigenvectors(m,eps,factor)} computes explicitly the eigenvalues and the correspondent eigenvectors of the matrix \\spad{m}. The parameter \\spad{eps} determines the type of the output,{} \\spad{factor} is the univariate factorizer to \\spad{br} used to reduce the characteristic polynomial into irreducible factors.")) (|solve1| (((|List| |#2|) (|SparseUnivariatePolynomial| |#1|) |#3|) "\\spad{solve1(pol, eps)} finds the roots of the univariate polynomial polynomial \\spad{pol} to precision eps. If \\spad{K} is \\spad{Fraction Integer} then only the real roots are returned,{} if \\spad{K} is \\spad{Complex Fraction Integer} then all roots are found.")) (|charpol| (((|SparseUnivariatePolynomial| |#1|) (|Matrix| |#1|)) "\\spad{charpol(m)} computes the characteristic polynomial of a matrix \\spad{m} with entries in \\spad{K}. This function returns a polynomial over \\spad{K},{} while the general one (that is in EiegenPackage) returns Fraction \\spad{P} \\spad{K}"))) NIL NIL @@ -2132,7 +2132,7 @@ NIL ((|constructor| (NIL "This package computes infinite products of univariate Taylor series over an integral domain of characteristic 0.")) (|generalInfiniteProduct| ((|#2| |#2| (|Integer|) (|Integer|)) "\\spad{generalInfiniteProduct(f(x),a,d)} computes \\spad{product(n=a,a+d,a+2*d,...,f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|oddInfiniteProduct| ((|#2| |#2|) "\\spad{oddInfiniteProduct(f(x))} computes \\spad{product(n=1,3,5...,f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|evenInfiniteProduct| ((|#2| |#2|) "\\spad{evenInfiniteProduct(f(x))} computes \\spad{product(n=2,4,6...,f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|infiniteProduct| ((|#2| |#2|) "\\spad{infiniteProduct(f(x))} computes \\spad{product(n=1,2,3...,f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1."))) NIL NIL -(-551 K -2191 |Par|) +(-551 K -1985 |Par|) ((|constructor| (NIL "This is an internal package for computing approximate solutions to systems of polynomial equations. The parameter \\spad{K} specifies the coefficient field of the input polynomials and must be either \\spad{Fraction(Integer)} or \\spad{Complex(Fraction Integer)}. The parameter \\spad{F} specifies where the solutions must lie and can be one of the following: \\spad{Float},{} \\spad{Fraction(Integer)},{} \\spad{Complex(Float)},{} \\spad{Complex(Fraction Integer)}. The last parameter specifies the type of the precision operand and must be either \\spad{Fraction(Integer)} or \\spad{Float}.")) (|makeEq| (((|List| (|Equation| (|Polynomial| |#2|))) (|List| |#2|) (|List| (|Symbol|))) "\\spad{makeEq(lsol,lvar)} returns a list of equations formed by corresponding members of \\spad{lvar} and \\spad{lsol}.")) (|innerSolve| (((|List| (|List| |#2|)) (|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|)) |#3|) "\\spad{innerSolve(lnum,lden,lvar,eps)} returns a list of solutions of the system of polynomials \\spad{lnum},{} with the side condition that none of the members of \\spad{lden} vanish identically on any solution. Each solution is expressed as a list corresponding to the list of variables in \\spad{lvar} and with precision specified by \\spad{eps}.")) (|innerSolve1| (((|List| |#2|) (|Polynomial| |#1|) |#3|) "\\spad{innerSolve1(p,eps)} returns the list of the zeros of the polynomial \\spad{p} with precision \\spad{eps}.") (((|List| |#2|) (|SparseUnivariatePolynomial| |#1|) |#3|) "\\spad{innerSolve1(up,eps)} returns the list of the zeros of the univariate polynomial \\spad{up} with precision \\spad{eps}."))) NIL NIL @@ -2183,12 +2183,12 @@ NIL (-563 |Key| |Entry| |addDom|) ((|constructor| (NIL "This domain is used to provide a conditional \"add\" domain for the implementation of \\spadtype{Table}."))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2350) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2911) (|devaluate| |#2|)))))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-1125)))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1125)))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -627) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#2| (QUOTE (-1125))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-102)))) -(-564 R -2191) +((-12 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4323) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2438) (|devaluate| |#2|)))))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-1125)))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1125)))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -627) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#2| (QUOTE (-1125))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-102)))) +(-564 R -1985) ((|constructor| (NIL "This package provides functions for the integration of algebraic integrands over transcendental functions.")) (|algint| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|SparseUnivariatePolynomial| |#2|) (|SparseUnivariatePolynomial| |#2|))) "\\spad{algint(f, x, y, d)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x}; \\spad{d} is the derivation to use on \\spad{k[x]}."))) NIL NIL -(-565 R0 -2191 UP UPUP R) +(-565 R0 -1985 UP UPUP R) ((|constructor| (NIL "This package provides functions for integrating a function on an algebraic curve.")) (|palginfieldint| (((|Union| |#5| "failed") |#5| (|Mapping| |#3| |#3|)) "\\spad{palginfieldint(f, d)} returns an algebraic function \\spad{g} such that \\spad{dg = f} if such a \\spad{g} exists,{} \"failed\" otherwise. Argument \\spad{f} must be a pure algebraic function.")) (|palgintegrate| (((|IntegrationResult| |#5|) |#5| (|Mapping| |#3| |#3|)) "\\spad{palgintegrate(f, d)} integrates \\spad{f} with respect to the derivation \\spad{d}. Argument \\spad{f} must be a pure algebraic function.")) (|algintegrate| (((|IntegrationResult| |#5|) |#5| (|Mapping| |#3| |#3|)) "\\spad{algintegrate(f, d)} integrates \\spad{f} with respect to the derivation \\spad{d}."))) NIL NIL @@ -2198,7 +2198,7 @@ NIL NIL (-567 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."))) -((-2705 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) +((-4142 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) NIL (-568 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."))) @@ -2208,7 +2208,7 @@ NIL ((|constructor| (NIL "The category of commutative integral domains,{} \\spadignore{i.e.} commutative rings with no zero divisors. \\blankline Conditional attributes: \\indented{2}{canonicalUnitNormal\\tab{20}the canonical field is the same for all associates} \\indented{2}{canonicalsClosed\\tab{20}the product of two canonicals is itself canonical}")) (|unit?| (((|Boolean|) $) "\\spad{unit?(x)} tests whether \\spad{x} is a unit,{} \\spadignore{i.e.} is invertible.")) (|associates?| (((|Boolean|) $ $) "\\spad{associates?(x,y)} tests whether \\spad{x} and \\spad{y} are associates,{} \\spadignore{i.e.} differ by a unit factor.")) (|unitCanonical| (($ $) "\\spad{unitCanonical(x)} returns \\spad{unitNormal(x).canonical}.")) (|unitNormal| (((|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $)) $) "\\spad{unitNormal(x)} tries to choose a canonical element from the associate class of \\spad{x}. The attribute canonicalUnitNormal,{} if asserted,{} means that the \"canonical\" element is the same across all associates of \\spad{x} if \\spad{unitNormal(x) = [u,c,a]} then \\spad{u*c = x},{} \\spad{a*u = 1}.")) (|exquo| (((|Union| $ "failed") $ $) "\\spad{exquo(a,b)} either returns an element \\spad{c} such that \\spad{c*b=a} or \"failed\" if no such element can be found."))) ((-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) NIL -(-570 R -2191) +(-570 R -1985) ((|constructor| (NIL "This package provides functions for integration,{} limited integration,{} extended integration and the risch differential equation for elemntary functions.")) (|lfextlimint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Symbol|) (|Kernel| |#2|) (|List| (|Kernel| |#2|))) "\\spad{lfextlimint(f,x,k,[k1,...,kn])} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f - c dk/dx}. Value \\spad{h} is looked for in a field containing \\spad{f} and \\spad{k1},{}...,{}\\spad{kn} (the \\spad{ki}\\spad{'s} must be logs).")) (|lfintegrate| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{lfintegrate(f, x)} = \\spad{g} such that \\spad{dg/dx = f}.")) (|lfinfieldint| (((|Union| |#2| "failed") |#2| (|Symbol|)) "\\spad{lfinfieldint(f, x)} returns a function \\spad{g} such that \\spad{dg/dx = f} if \\spad{g} exists,{} \"failed\" otherwise.")) (|lflimitedint| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Symbol|) (|List| |#2|)) "\\spad{lflimitedint(f,x,[g1,...,gn])} returns functions \\spad{[h,[[ci, gi]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,...,gn]},{} and \\spad{d(h+sum(ci log(gi)))/dx = f},{} if possible,{} \"failed\" otherwise.")) (|lfextendedint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Symbol|) |#2|) "\\spad{lfextendedint(f, x, g)} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f - cg},{} if (\\spad{h},{} \\spad{c}) exist,{} \"failed\" otherwise."))) NIL NIL @@ -2220,7 +2220,7 @@ NIL ((|constructor| (NIL "\\blankline")) (|entry| (((|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{entry(n)} \\undocumented{}")) (|entries| (((|List| (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) $) "\\spad{entries(x)} \\undocumented{}")) (|showAttributes| (((|Union| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) "failed") (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{showAttributes(x)} \\undocumented{}")) (|insert!| (($ (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) "\\spad{insert!(r)} inserts an entry \\spad{r} into theIFTable")) (|fTable| (($ (|List| (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))))))) "\\spad{fTable(l)} creates a functions table from the elements of \\spad{l}.")) (|keys| (((|List| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) $) "\\spad{keys(f)} returns the list of keys of \\spad{f}")) (|clearTheFTable| (((|Void|)) "\\spad{clearTheFTable()} clears the current table of functions.")) (|showTheFTable| (($) "\\spad{showTheFTable()} returns the current table of functions."))) NIL NIL -(-573 R -2191 L) +(-573 R -1985 L) ((|constructor| (NIL "This internal package rationalises integrands on curves of the form: \\indented{2}{\\spad{y\\^2 = a x\\^2 + b x + c}} \\indented{2}{\\spad{y\\^2 = (a x + b) / (c x + d)}} \\indented{2}{\\spad{f(x, y) = 0} where \\spad{f} has degree 1 in \\spad{x}} The rationalization is done for integration,{} limited integration,{} extended integration and the risch differential equation.")) (|palgLODE0| (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgLODE0(op,g,x,y,z,t,c)} returns the solution of \\spad{op f = g} Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}.") (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgLODE0(op, g, x, y, d, p)} returns the solution of \\spad{op f = g}. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}.")) (|lift| (((|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) (|SparseUnivariatePolynomial| |#2|) (|Kernel| |#2|)) "\\spad{lift(u,k)} \\undocumented")) (|multivariate| ((|#2| (|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) (|Kernel| |#2|) |#2|) "\\spad{multivariate(u,k,f)} \\undocumented")) (|univariate| (((|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|SparseUnivariatePolynomial| |#2|)) "\\spad{univariate(f,k,k,p)} \\undocumented")) (|palgRDE0| (((|Union| |#2| "failed") |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|)) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgRDE0(f, g, x, y, foo, t, c)} returns a function \\spad{z(x,y)} such that \\spad{dz/dx + n * df/dx z(x,y) = g(x,y)} if such a \\spad{z} exists,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{foo},{} called by \\spad{foo(a, b, x)},{} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}.") (((|Union| |#2| "failed") |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|)) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgRDE0(f, g, x, y, foo, d, p)} returns a function \\spad{z(x,y)} such that \\spad{dz/dx + n * df/dx z(x,y) = g(x,y)} if such a \\spad{z} exists,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}. Argument \\spad{foo},{} called by \\spad{foo(a, b, x)},{} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}.")) (|palglimint0| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palglimint0(f, x, y, [u1,...,un], z, t, c)} returns functions \\spad{[h,[[ci, ui]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,...,un]} and \\spad{d(h + sum(ci log(ui)))/dx = f(x,y)} if such functions exist,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}.") (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palglimint0(f, x, y, [u1,...,un], d, p)} returns functions \\spad{[h,[[ci, ui]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,...,un]} and \\spad{d(h + sum(ci log(ui)))/dx = f(x,y)} if such functions exist,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}.")) (|palgextint0| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgextint0(f, x, y, g, z, t, c)} returns functions \\spad{[h, d]} such that \\spad{dh/dx = f(x,y) - d g},{} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy},{} and \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{z} is a dummy variable not appearing in \\spad{f(x,y)}. The operation returns \"failed\" if no such functions exist.") (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgextint0(f, x, y, g, d, p)} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f(x,y) - c g},{} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2 y(x)\\^2 = P(x)},{} or \"failed\" if no such functions exist.")) (|palgint0| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgint0(f, x, y, z, t, c)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{z} is a dummy variable not appearing in \\spad{f(x,y)}.") (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgint0(f, x, y, d, p)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2 y(x)\\^2 = P(x)}."))) NIL ((|HasCategory| |#3| (LIST (QUOTE -672) (|devaluate| |#2|)))) @@ -2228,11 +2228,11 @@ NIL ((|constructor| (NIL "This package provides various number theoretic functions on the integers.")) (|sumOfKthPowerDivisors| (((|Integer|) (|Integer|) (|NonNegativeInteger|)) "\\spad{sumOfKthPowerDivisors(n,k)} returns the sum of the \\spad{k}th powers of the integers between 1 and \\spad{n} (inclusive) which divide \\spad{n}. the sum of the \\spad{k}th powers of the divisors of \\spad{n} is often denoted by \\spad{sigma_k(n)}.")) (|sumOfDivisors| (((|Integer|) (|Integer|)) "\\spad{sumOfDivisors(n)} returns the sum of the integers between 1 and \\spad{n} (inclusive) which divide \\spad{n}. The sum of the divisors of \\spad{n} is often denoted by \\spad{sigma(n)}.")) (|numberOfDivisors| (((|Integer|) (|Integer|)) "\\spad{numberOfDivisors(n)} returns the number of integers between 1 and \\spad{n} (inclusive) which divide \\spad{n}. The number of divisors of \\spad{n} is often denoted by \\spad{tau(n)}.")) (|moebiusMu| (((|Integer|) (|Integer|)) "\\spad{moebiusMu(n)} returns the Moebius function \\spad{mu(n)}. \\spad{mu(n)} is either \\spad{-1},{}0 or 1 as follows: \\spad{mu(n) = 0} if \\spad{n} is divisible by a square > 1,{} \\spad{mu(n) = (-1)^k} if \\spad{n} is square-free and has \\spad{k} distinct prime divisors.")) (|legendre| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{legendre(a,p)} returns the Legendre symbol \\spad{L(a/p)}. \\spad{L(a/p) = (-1)**((p-1)/2) mod p} (\\spad{p} prime),{} which is 0 if \\spad{a} is 0,{} 1 if \\spad{a} is a quadratic residue \\spad{mod p} and \\spad{-1} otherwise. Note: because the primality test is expensive,{} if it is known that \\spad{p} is prime then use \\spad{jacobi(a,p)}.")) (|jacobi| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{jacobi(a,b)} returns the Jacobi symbol \\spad{J(a/b)}. When \\spad{b} is odd,{} \\spad{J(a/b) = product(L(a/p) for p in factor b )}. Note: by convention,{} 0 is returned if \\spad{gcd(a,b) ~= 1}. Iterative \\spad{O(log(b)^2)} version coded by Michael Monagan June 1987.")) (|harmonic| (((|Fraction| (|Integer|)) (|Integer|)) "\\spad{harmonic(n)} returns the \\spad{n}th harmonic number. This is \\spad{H[n] = sum(1/k,k=1..n)}.")) (|fibonacci| (((|Integer|) (|Integer|)) "\\spad{fibonacci(n)} returns the \\spad{n}th Fibonacci number. the Fibonacci numbers \\spad{F[n]} are defined by \\spad{F[0] = F[1] = 1} and \\spad{F[n] = F[n-1] + F[n-2]}. The algorithm has running time \\spad{O(log(n)^3)}. Reference: Knuth,{} The Art of Computer Programming Vol 2,{} Semi-Numerical Algorithms.")) (|eulerPhi| (((|Integer|) (|Integer|)) "\\spad{eulerPhi(n)} returns the number of integers between 1 and \\spad{n} (including 1) which are relatively prime to \\spad{n}. This is the Euler phi function \\spad{\\phi(n)} is also called the totient function.")) (|euler| (((|Integer|) (|Integer|)) "\\spad{euler(n)} returns the \\spad{n}th Euler number. This is \\spad{2^n E(n,1/2)},{} where \\spad{E(n,x)} is the \\spad{n}th Euler polynomial.")) (|divisors| (((|List| (|Integer|)) (|Integer|)) "\\spad{divisors(n)} returns a list of the divisors of \\spad{n}.")) (|chineseRemainder| (((|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{chineseRemainder(x1,m1,x2,m2)} returns \\spad{w},{} where \\spad{w} is such that \\spad{w = x1 mod m1} and \\spad{w = x2 mod m2}. Note: \\spad{m1} and \\spad{m2} must be relatively prime.")) (|bernoulli| (((|Fraction| (|Integer|)) (|Integer|)) "\\spad{bernoulli(n)} returns the \\spad{n}th Bernoulli number. this is \\spad{B(n,0)},{} where \\spad{B(n,x)} is the \\spad{n}th Bernoulli polynomial."))) NIL NIL -(-575 -2191 UP UPUP R) +(-575 -1985 UP UPUP R) ((|constructor| (NIL "algebraic Hermite redution.")) (|HermiteIntegrate| (((|Record| (|:| |answer| |#4|) (|:| |logpart| |#4|)) |#4| (|Mapping| |#2| |#2|)) "\\spad{HermiteIntegrate(f, ')} returns \\spad{[g,h]} such that \\spad{f = g' + h} and \\spad{h} has a only simple finite normal poles."))) NIL NIL -(-576 -2191 UP) +(-576 -1985 UP) ((|constructor| (NIL "Hermite integration,{} transcendental case.")) (|HermiteIntegrate| (((|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |logpart| (|Fraction| |#2|)) (|:| |specpart| (|Fraction| |#2|)) (|:| |polypart| |#2|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{HermiteIntegrate(f, D)} returns \\spad{[g, h, s, p]} such that \\spad{f = Dg + h + s + p},{} \\spad{h} has a squarefree denominator normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} and all the squarefree factors of the denominator of \\spad{s} are special \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D}. Furthermore,{} \\spad{h} and \\spad{s} have no polynomial parts. \\spad{D} is the derivation to use on \\spadtype{UP}."))) NIL NIL @@ -2244,15 +2244,15 @@ NIL ((|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))) (|:| |extra| (|Result|))) (|NumericalIntegrationProblem|) (|RoutinesTable|)) "\\spad{measure(prob,R)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical integration problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} listed in \\axiom{\\spad{R}} of \\axiom{category} \\axiomType{NumericalIntegrationCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information.") (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))) (|:| |extra| (|Result|))) (|NumericalIntegrationProblem|)) "\\spad{measure(prob)} is a top level ANNA function for identifying the most appropriate numerical routine for solving the numerical integration problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} of \\axiom{category} \\axiomType{NumericalIntegrationCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information.")) (|integrate| (((|Union| (|Result|) "failed") (|Expression| (|Float|)) (|SegmentBinding| (|OrderedCompletion| (|Float|))) (|Symbol|)) "\\spad{integrate(exp, x = a..b, numerical)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range,{} {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.\\newline \\blankline Default values for the absolute and relative error are used. \\blankline It is an error if the last argument is not {\\spad{\\tt} numerical}.") (((|Union| (|Result|) "failed") (|Expression| (|Float|)) (|SegmentBinding| (|OrderedCompletion| (|Float|))) (|String|)) "\\spad{integrate(exp, x = a..b, \"numerical\")} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range,{} {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.\\newline \\blankline Default values for the absolute and relative error are used. \\blankline It is an error of the last argument is not {\\spad{\\tt} \"numerical\"}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|)))) (|Float|) (|Float|) (|RoutinesTable|)) "\\spad{integrate(exp, [a..b,c..d,...], epsabs, epsrel, routines)} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges to the required absolute and relative accuracy,{} using the routines available in the RoutinesTable provided. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|)))) (|Float|) (|Float|)) "\\spad{integrate(exp, [a..b,c..d,...], epsabs, epsrel)} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges to the required absolute and relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|)))) (|Float|)) "\\spad{integrate(exp, [a..b,c..d,...], epsrel)} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges to the required relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline If epsrel = 0,{} a default absolute accuracy is used.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|))))) "\\spad{integrate(exp, [a..b,c..d,...])} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline Default values for the absolute and relative error are used.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|)))) "\\spad{integrate(exp, a..b)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline Default values for the absolute and relative error are used.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|))) (|Float|)) "\\spad{integrate(exp, a..b, epsrel)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}} to the required relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline If epsrel = 0,{} a default absolute accuracy is used.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|))) (|Float|) (|Float|)) "\\spad{integrate(exp, a..b, epsabs, epsrel)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}} to the required absolute and relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|NumericalIntegrationProblem|)) "\\spad{integrate(IntegrationProblem)} is a top level ANNA function to integrate an expression over a given range or ranges to the required absolute and relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|))) (|Float|) (|Float|) (|RoutinesTable|)) "\\spad{integrate(exp, a..b, epsrel, routines)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}} to the required absolute and relative accuracy using the routines available in the RoutinesTable provided. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}."))) NIL NIL -(-579 R -2191 L) +(-579 R -1985 L) ((|constructor| (NIL "This package provides functions for integration,{} limited integration,{} extended integration and the risch differential equation for pure algebraic integrands.")) (|palgLODE| (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Symbol|)) "\\spad{palgLODE(op, g, kx, y, x)} returns the solution of \\spad{op f = g}. \\spad{y} is an algebraic function of \\spad{x}.")) (|palgRDE| (((|Union| |#2| "failed") |#2| |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|))) "\\spad{palgRDE(nfp, f, g, x, y, foo)} returns a function \\spad{z(x,y)} such that \\spad{dz/dx + n * df/dx z(x,y) = g(x,y)} if such a \\spad{z} exists,{} \"failed\" otherwise; \\spad{y} is an algebraic function of \\spad{x}; \\spad{foo(a, b, x)} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}. \\spad{nfp} is \\spad{n * df/dx}.")) (|palglimint| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|)) "\\spad{palglimint(f, x, y, [u1,...,un])} returns functions \\spad{[h,[[ci, ui]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,...,un]} and \\spad{d(h + sum(ci log(ui)))/dx = f(x,y)} if such functions exist,{} \"failed\" otherwise; \\spad{y} is an algebraic function of \\spad{x}.")) (|palgextint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2|) "\\spad{palgextint(f, x, y, g)} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f(x,y) - c g},{} where \\spad{y} is an algebraic function of \\spad{x}; returns \"failed\" if no such functions exist.")) (|palgint| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|)) "\\spad{palgint(f, x, y)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x}."))) NIL ((|HasCategory| |#3| (LIST (QUOTE -672) (|devaluate| |#2|)))) -(-580 R -2191) +(-580 R -1985) ((|constructor| (NIL "\\spadtype{PatternMatchIntegration} provides functions that use the pattern matcher to find some indefinite and definite integrals involving special functions and found in the litterature.")) (|pmintegrate| (((|Union| |#2| "failed") |#2| (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|)) "\\spad{pmintegrate(f, x = a..b)} returns the integral of \\spad{f(x)dx} from a to \\spad{b} if it can be found by the built-in pattern matching rules.") (((|Union| (|Record| (|:| |special| |#2|) (|:| |integrand| |#2|)) "failed") |#2| (|Symbol|)) "\\spad{pmintegrate(f, x)} returns either \"failed\" or \\spad{[g,h]} such that \\spad{integrate(f,x) = g + integrate(h,x)}.")) (|pmComplexintegrate| (((|Union| (|Record| (|:| |special| |#2|) (|:| |integrand| |#2|)) "failed") |#2| (|Symbol|)) "\\spad{pmComplexintegrate(f, x)} returns either \"failed\" or \\spad{[g,h]} such that \\spad{integrate(f,x) = g + integrate(h,x)}. It only looks for special complex integrals that pmintegrate does not return.")) (|splitConstant| (((|Record| (|:| |const| |#2|) (|:| |nconst| |#2|)) |#2| (|Symbol|)) "\\spad{splitConstant(f, x)} returns \\spad{[c, g]} such that \\spad{f = c * g} and \\spad{c} does not involve \\spad{t}."))) NIL ((-12 (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-1164)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-642))))) -(-581 -2191 UP) +(-581 -1985 UP) ((|constructor| (NIL "This package provides functions for the base case of the Risch algorithm.")) (|limitedint| (((|Union| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|)))))) "failed") (|Fraction| |#2|) (|List| (|Fraction| |#2|))) "\\spad{limitedint(f, [g1,...,gn])} returns fractions \\spad{[h,[[ci, gi]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,...,gn]},{} \\spad{ci' = 0},{} and \\spad{(h+sum(ci log(gi)))' = f},{} if possible,{} \"failed\" otherwise.")) (|extendedint| (((|Union| (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{extendedint(f, g)} returns fractions \\spad{[h, c]} such that \\spad{c' = 0} and \\spad{h' = f - cg},{} if \\spad{(h, c)} exist,{} \"failed\" otherwise.")) (|infieldint| (((|Union| (|Fraction| |#2|) "failed") (|Fraction| |#2|)) "\\spad{infieldint(f)} returns \\spad{g} such that \\spad{g' = f} or \"failed\" if the integral of \\spad{f} is not a rational function.")) (|integrate| (((|IntegrationResult| (|Fraction| |#2|)) (|Fraction| |#2|)) "\\spad{integrate(f)} returns \\spad{g} such that \\spad{g' = f}."))) NIL NIL @@ -2260,27 +2260,27 @@ NIL ((|constructor| (NIL "Provides integer testing and retraction functions. Date Created: March 1990 Date Last Updated: 9 April 1991")) (|integerIfCan| (((|Union| (|Integer|) "failed") |#1|) "\\spad{integerIfCan(x)} returns \\spad{x} as an integer,{} \"failed\" if \\spad{x} is not an integer.")) (|integer?| (((|Boolean|) |#1|) "\\spad{integer?(x)} is \\spad{true} if \\spad{x} is an integer,{} \\spad{false} otherwise.")) (|integer| (((|Integer|) |#1|) "\\spad{integer(x)} returns \\spad{x} as an integer; error if \\spad{x} is not an integer."))) NIL NIL -(-583 -2191) +(-583 -1985) ((|constructor| (NIL "This package provides functions for the integration of rational functions.")) (|extendedIntegrate| (((|Union| (|Record| (|:| |ratpart| (|Fraction| (|Polynomial| |#1|))) (|:| |coeff| (|Fraction| (|Polynomial| |#1|)))) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|) (|Fraction| (|Polynomial| |#1|))) "\\spad{extendedIntegrate(f, x, g)} returns fractions \\spad{[h, c]} such that \\spad{dc/dx = 0} and \\spad{dh/dx = f - cg},{} if \\spad{(h, c)} exist,{} \"failed\" otherwise.")) (|limitedIntegrate| (((|Union| (|Record| (|:| |mainpart| (|Fraction| (|Polynomial| |#1|))) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| (|Polynomial| |#1|))) (|:| |logand| (|Fraction| (|Polynomial| |#1|))))))) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|) (|List| (|Fraction| (|Polynomial| |#1|)))) "\\spad{limitedIntegrate(f, x, [g1,...,gn])} returns fractions \\spad{[h, [[ci,gi]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,...,gn]},{} \\spad{dci/dx = 0},{} and \\spad{d(h + sum(ci log(gi)))/dx = f} if possible,{} \"failed\" otherwise.")) (|infieldIntegrate| (((|Union| (|Fraction| (|Polynomial| |#1|)) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{infieldIntegrate(f, x)} returns a fraction \\spad{g} such that \\spad{dg/dx = f} if \\spad{g} exists,{} \"failed\" otherwise.")) (|internalIntegrate| (((|IntegrationResult| (|Fraction| (|Polynomial| |#1|))) (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{internalIntegrate(f, x)} returns \\spad{g} such that \\spad{dg/dx = f}."))) NIL NIL (-584 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."))) -((-2705 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) +((-4142 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) NIL (-585) ((|constructor| (NIL "This package provides the implementation for the \\spadfun{solveLinearPolynomialEquation} operation over the integers. It uses a lifting technique from the package GenExEuclid")) (|solveLinearPolynomialEquation| (((|Union| (|List| (|SparseUnivariatePolynomial| (|Integer|))) "failed") (|List| (|SparseUnivariatePolynomial| (|Integer|))) (|SparseUnivariatePolynomial| (|Integer|))) "\\spad{solveLinearPolynomialEquation([f1, ..., fn], g)} (where the \\spad{fi} are relatively prime to each other) returns a list of \\spad{ai} such that \\spad{g/prod fi = sum ai/fi} or returns \"failed\" if no such list of \\spad{ai}\\spad{'s} exists."))) NIL NIL -(-586 R -2191) +(-586 R -1985) ((|constructor| (NIL "\\indented{1}{Tools for the integrator} Author: Manuel Bronstein Date Created: 25 April 1990 Date Last Updated: 9 June 1993 Keywords: elementary,{} function,{} integration.")) (|intPatternMatch| (((|IntegrationResult| |#2|) |#2| (|Symbol|) (|Mapping| (|IntegrationResult| |#2|) |#2| (|Symbol|)) (|Mapping| (|Union| (|Record| (|:| |special| |#2|) (|:| |integrand| |#2|)) "failed") |#2| (|Symbol|))) "\\spad{intPatternMatch(f, x, int, pmint)} tries to integrate \\spad{f} first by using the integration function \\spad{int},{} and then by using the pattern match intetgration function \\spad{pmint} on any remaining unintegrable part.")) (|mkPrim| ((|#2| |#2| (|Symbol|)) "\\spad{mkPrim(f, x)} makes the logs in \\spad{f} which are linear in \\spad{x} primitive with respect to \\spad{x}.")) (|removeConstantTerm| ((|#2| |#2| (|Symbol|)) "\\spad{removeConstantTerm(f, x)} returns \\spad{f} minus any additive constant with respect to \\spad{x}.")) (|vark| (((|List| (|Kernel| |#2|)) (|List| |#2|) (|Symbol|)) "\\spad{vark([f1,...,fn],x)} returns the set-theoretic union of \\spad{(varselect(f1,x),...,varselect(fn,x))}.")) (|union| (((|List| (|Kernel| |#2|)) (|List| (|Kernel| |#2|)) (|List| (|Kernel| |#2|))) "\\spad{union(l1, l2)} returns set-theoretic union of \\spad{l1} and \\spad{l2}.")) (|ksec| (((|Kernel| |#2|) (|Kernel| |#2|) (|List| (|Kernel| |#2|)) (|Symbol|)) "\\spad{ksec(k, [k1,...,kn], x)} returns the second top-level \\spad{ki} after \\spad{k} involving \\spad{x}.")) (|kmax| (((|Kernel| |#2|) (|List| (|Kernel| |#2|))) "\\spad{kmax([k1,...,kn])} returns the top-level \\spad{ki} for integration.")) (|varselect| (((|List| (|Kernel| |#2|)) (|List| (|Kernel| |#2|)) (|Symbol|)) "\\spad{varselect([k1,...,kn], x)} returns the \\spad{ki} which involve \\spad{x}."))) NIL ((-12 (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-295))) (|HasCategory| |#2| (QUOTE (-642))) (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-1201))))) (-12 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-295)))) (|HasCategory| |#1| (QUOTE (-569)))) -(-587 -2191 UP) +(-587 -1985 UP) ((|constructor| (NIL "This package provides functions for the transcendental case of the Risch algorithm.")) (|monomialIntPoly| (((|Record| (|:| |answer| |#2|) (|:| |polypart| |#2|)) |#2| (|Mapping| |#2| |#2|)) "\\spad{monomialIntPoly(p, ')} returns [\\spad{q},{} \\spad{r}] such that \\spad{p = q' + r} and \\spad{degree(r) < degree(t')}. Error if \\spad{degree(t') < 2}.")) (|monomialIntegrate| (((|Record| (|:| |ir| (|IntegrationResult| (|Fraction| |#2|))) (|:| |specpart| (|Fraction| |#2|)) (|:| |polypart| |#2|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{monomialIntegrate(f, ')} returns \\spad{[ir, s, p]} such that \\spad{f = ir' + s + p} and all the squarefree factors of the denominator of \\spad{s} are special \\spad{w}.\\spad{r}.\\spad{t} the derivation '.")) (|expintfldpoly| (((|Union| (|LaurentPolynomial| |#1| |#2|) "failed") (|LaurentPolynomial| |#1| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|)) "\\spad{expintfldpoly(p, foo)} returns \\spad{q} such that \\spad{p' = q} or \"failed\" if no such \\spad{q} exists. Argument foo is a Risch differential equation function on \\spad{F}.")) (|primintfldpoly| (((|Union| |#2| "failed") |#2| (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) |#1|) "\\spad{primintfldpoly(p, ', t')} returns \\spad{q} such that \\spad{p' = q} or \"failed\" if no such \\spad{q} exists. Argument \\spad{t'} is the derivative of the primitive generating the extension.")) (|primlimintfrac| (((|Union| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|)))))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|List| (|Fraction| |#2|))) "\\spad{primlimintfrac(f, ', [u1,...,un])} returns \\spad{[v, [c1,...,cn]]} such that \\spad{ci' = 0} and \\spad{f = v' + +/[ci * ui'/ui]}. Error: if \\spad{degree numer f >= degree denom f}.")) (|primextintfrac| (((|Union| (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Fraction| |#2|)) "\\spad{primextintfrac(f, ', g)} returns \\spad{[v, c]} such that \\spad{f = v' + c g} and \\spad{c' = 0}. Error: if \\spad{degree numer f >= degree denom f} or if \\spad{degree numer g >= degree denom g} or if \\spad{denom g} is not squarefree.")) (|explimitedint| (((|Union| (|Record| (|:| |answer| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|))))))) (|:| |a0| |#1|)) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|) (|List| (|Fraction| |#2|))) "\\spad{explimitedint(f, ', foo, [u1,...,un])} returns \\spad{[v, [c1,...,cn], a]} such that \\spad{ci' = 0},{} \\spad{f = v' + a + reduce(+,[ci * ui'/ui])},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}. Returns \"failed\" if no such \\spad{v},{} \\spad{ci},{} a exist. Argument \\spad{foo} is a Risch differential equation function on \\spad{F}.")) (|primlimitedint| (((|Union| (|Record| (|:| |answer| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|))))))) (|:| |a0| |#1|)) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) (|List| (|Fraction| |#2|))) "\\spad{primlimitedint(f, ', foo, [u1,...,un])} returns \\spad{[v, [c1,...,cn], a]} such that \\spad{ci' = 0},{} \\spad{f = v' + a + reduce(+,[ci * ui'/ui])},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Returns \"failed\" if no such \\spad{v},{} \\spad{ci},{} a exist. Argument \\spad{foo} is an extended integration function on \\spad{F}.")) (|expextendedint| (((|Union| (|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |a0| |#1|)) (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|) (|Fraction| |#2|)) "\\spad{expextendedint(f, ', foo, g)} returns either \\spad{[v, c]} such that \\spad{f = v' + c g} and \\spad{c' = 0},{} or \\spad{[v, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}. Returns \"failed\" if neither case can hold. Argument \\spad{foo} is a Risch differential equation function on \\spad{F}.")) (|primextendedint| (((|Union| (|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |a0| |#1|)) (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) (|Fraction| |#2|)) "\\spad{primextendedint(f, ', foo, g)} returns either \\spad{[v, c]} such that \\spad{f = v' + c g} and \\spad{c' = 0},{} or \\spad{[v, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Returns \"failed\" if neither case can hold. Argument \\spad{foo} is an extended integration function on \\spad{F}.")) (|tanintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|List| |#1|) "failed") (|Integer|) |#1| |#1|)) "\\spad{tanintegrate(f, ', foo)} returns \\spad{[g, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}; Argument foo is a Risch differential system solver on \\spad{F}.")) (|expintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|)) "\\spad{expintegrate(f, ', foo)} returns \\spad{[g, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}; Argument foo is a Risch differential equation solver on \\spad{F}.")) (|primintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|)) "\\spad{primintegrate(f, ', foo)} returns \\spad{[g, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Argument foo is an extended integration function on \\spad{F}."))) NIL NIL -(-588 R -2191) +(-588 R -1985) ((|constructor| (NIL "This package computes the inverse Laplace Transform.")) (|inverseLaplace| (((|Union| |#2| "failed") |#2| (|Symbol|) (|Symbol|)) "\\spad{inverseLaplace(f, s, t)} returns the Inverse Laplace transform of \\spad{f(s)} using \\spad{t} as the new variable or \"failed\" if unable to find a closed form."))) NIL NIL @@ -2312,11 +2312,11 @@ NIL ((|constructor| (NIL "A package to print strings without line-feed nor carriage-return.")) (|iprint| (((|Void|) (|String|)) "\\axiom{iprint(\\spad{s})} prints \\axiom{\\spad{s}} at the current position of the cursor."))) NIL NIL -(-596 R -2191) +(-596 R -1985) ((|constructor| (NIL "This package allows a sum of logs over the roots of a polynomial to be expressed as explicit logarithms and arc tangents,{} provided that the indexing polynomial can be factored into quadratics.")) (|complexExpand| ((|#2| (|IntegrationResult| |#2|)) "\\spad{complexExpand(i)} returns the expanded complex function corresponding to \\spad{i}.")) (|expand| (((|List| |#2|) (|IntegrationResult| |#2|)) "\\spad{expand(i)} returns the list of possible real functions corresponding to \\spad{i}.")) (|split| (((|IntegrationResult| |#2|) (|IntegrationResult| |#2|)) "\\spad{split(u(x) + sum_{P(a)=0} Q(a,x))} returns \\spad{u(x) + sum_{P1(a)=0} Q(a,x) + ... + sum_{Pn(a)=0} Q(a,x)} where \\spad{P1},{}...,{}\\spad{Pn} are the factors of \\spad{P}."))) NIL NIL -(-597 E -2191) +(-597 E -1985) ((|constructor| (NIL "\\indented{1}{Internally used by the integration packages} Author: Manuel Bronstein Date Created: 1987 Date Last Updated: 12 August 1992 Keywords: integration.")) (|map| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") (|Mapping| |#2| |#1|) (|Union| (|Record| (|:| |mainpart| |#1|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#1|) (|:| |logand| |#1|))))) "failed")) "\\spad{map(f,ufe)} \\undocumented") (((|Union| |#2| "failed") (|Mapping| |#2| |#1|) (|Union| |#1| "failed")) "\\spad{map(f,ue)} \\undocumented") (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") (|Mapping| |#2| |#1|) (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed")) "\\spad{map(f,ure)} \\undocumented") (((|IntegrationResult| |#2|) (|Mapping| |#2| |#1|) (|IntegrationResult| |#1|)) "\\spad{map(f,ire)} \\undocumented"))) NIL NIL @@ -2324,7 +2324,7 @@ NIL ((|constructor| (NIL "This domain provides representations for the intermediate form data structure used by the Spad elaborator.")) (|irDef| (($ (|Identifier|) (|InternalTypeForm|) $) "\\spad{irDef(f,ts,e)} returns an IR representation for a definition of a function named \\spad{f},{} with signature \\spad{ts} and body \\spad{e}.")) (|irCtor| (($ (|Identifier|) (|InternalTypeForm|)) "\\spad{irCtor(n,t)} returns an IR for a constructor reference of type designated by the type form \\spad{t}")) (|irVar| (($ (|Identifier|) (|InternalTypeForm|)) "\\spad{irVar(x,t)} returns an IR for a variable reference of type designated by the type form \\spad{t}"))) NIL NIL -(-599 -2191) +(-599 -1985) ((|constructor| (NIL "If a function \\spad{f} has an elementary integral \\spad{g},{} then \\spad{g} can be written in the form \\spad{g = h + c1 log(u1) + c2 log(u2) + ... + cn log(un)} where \\spad{h},{} which is in the same field than \\spad{f},{} is called the rational part of the integral,{} and \\spad{c1 log(u1) + ... cn log(un)} is called the logarithmic part of the integral. This domain manipulates integrals represented in that form,{} by keeping both parts separately. The logs are not explicitly computed.")) (|differentiate| ((|#1| $ (|Symbol|)) "\\spad{differentiate(ir,x)} differentiates \\spad{ir} with respect to \\spad{x}") ((|#1| $ (|Mapping| |#1| |#1|)) "\\spad{differentiate(ir,D)} differentiates \\spad{ir} with respect to the derivation \\spad{D}.")) (|integral| (($ |#1| (|Symbol|)) "\\spad{integral(f,x)} returns the formal integral of \\spad{f} with respect to \\spad{x}") (($ |#1| |#1|) "\\spad{integral(f,x)} returns the formal integral of \\spad{f} with respect to \\spad{x}")) (|elem?| (((|Boolean|) $) "\\spad{elem?(ir)} tests if an integration result is elementary over \\spad{F?}")) (|notelem| (((|List| (|Record| (|:| |integrand| |#1|) (|:| |intvar| |#1|))) $) "\\spad{notelem(ir)} returns the non-elementary part of an integration result")) (|logpart| (((|List| (|Record| (|:| |scalar| (|Fraction| (|Integer|))) (|:| |coeff| (|SparseUnivariatePolynomial| |#1|)) (|:| |logand| (|SparseUnivariatePolynomial| |#1|)))) $) "\\spad{logpart(ir)} returns the logarithmic part of an integration result")) (|ratpart| ((|#1| $) "\\spad{ratpart(ir)} returns the rational part of an integration result")) (|mkAnswer| (($ |#1| (|List| (|Record| (|:| |scalar| (|Fraction| (|Integer|))) (|:| |coeff| (|SparseUnivariatePolynomial| |#1|)) (|:| |logand| (|SparseUnivariatePolynomial| |#1|)))) (|List| (|Record| (|:| |integrand| |#1|) (|:| |intvar| |#1|)))) "\\spad{mkAnswer(r,l,ne)} creates an integration result from a rational part \\spad{r},{} a logarithmic part \\spad{l},{} and a non-elementary part \\spad{ne}."))) ((-4465 . T) (-4464 . T)) ((|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-1201))))) @@ -2355,7 +2355,7 @@ NIL (-606 |mn|) ((|constructor| (NIL "This domain implements low-level strings"))) ((-4471 . T) (-4470 . T)) -((-3803 (-12 (|HasCategory| (-145) (QUOTE (-865))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (-3803 (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-880)))) (-12 (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -627) (QUOTE (-549)))) (-3803 (|HasCategory| (-145) (QUOTE (-865))) (|HasCategory| (-145) (QUOTE (-1125)))) (|HasCategory| (-145) (QUOTE (-865))) (-3803 (|HasCategory| (-145) (QUOTE (-102))) (|HasCategory| (-145) (QUOTE (-865))) (|HasCategory| (-145) (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) +((-2811 (-12 (|HasCategory| (-145) (QUOTE (-865))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (-2811 (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-880)))) (-12 (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -627) (QUOTE (-549)))) (-2811 (|HasCategory| (-145) (QUOTE (-865))) (|HasCategory| (-145) (QUOTE (-1125)))) (|HasCategory| (-145) (QUOTE (-865))) (-2811 (|HasCategory| (-145) (QUOTE (-102))) (|HasCategory| (-145) (QUOTE (-865))) (|HasCategory| (-145) (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (-607 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 @@ -2363,7 +2363,7 @@ NIL (-608 |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}."))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-577)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-577)) (|devaluate| |#1|)))) (|HasCategory| (-577) (QUOTE (-1137))) (|HasCategory| |#1| (QUOTE (-375))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-577))))) (|HasSignature| |#1| (LIST (QUOTE -4106) (LIST (|devaluate| |#1|) (QUOTE (-1201)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-577)))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-577)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-577)) (|devaluate| |#1|)))) (|HasCategory| (-577) (QUOTE (-1137))) (|HasCategory| |#1| (QUOTE (-375))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-577))))) (|HasSignature| |#1| (LIST (QUOTE -3603) (LIST (|devaluate| |#1|) (QUOTE (-1201)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-577)))))) (-609 |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.}"))) (((-4472 "*") |has| |#1| (-569)) (-4463 |has| |#1| (-569)) (-4464 . T) (-4465 . T) (-4467 . T)) @@ -2380,7 +2380,7 @@ NIL ((|constructor| (NIL "Functions defined on streams with entries in two sets.")) (|map| (((|Stream| |#3|) (|Mapping| |#3| |#1| |#2|) (|InfiniteTuple| |#1|) (|Stream| |#2|)) "\\spad{map(f,a,b)} \\undocumented") (((|Stream| |#3|) (|Mapping| |#3| |#1| |#2|) (|Stream| |#1|) (|InfiniteTuple| |#2|)) "\\spad{map(f,a,b)} \\undocumented") (((|InfiniteTuple| |#3|) (|Mapping| |#3| |#1| |#2|) (|InfiniteTuple| |#1|) (|InfiniteTuple| |#2|)) "\\spad{map(f,a,b)} \\undocumented"))) NIL NIL -(-613 R -2191 FG) +(-613 R -1985 FG) ((|constructor| (NIL "This package provides transformations from trigonometric functions to exponentials and logarithms,{} and back. \\spad{F} and \\spad{FG} should be the same type of function space.")) (|trigs2explogs| ((|#3| |#3| (|List| (|Kernel| |#3|)) (|List| (|Symbol|))) "\\spad{trigs2explogs(f, [k1,...,kn], [x1,...,xm])} rewrites all the trigonometric functions appearing in \\spad{f} and involving one of the \\spad{xi's} in terms of complex logarithms and exponentials. A kernel of the form \\spad{tan(u)} is expressed using \\spad{exp(u)**2} if it is one of the \\spad{ki's},{} in terms of \\spad{exp(2*u)} otherwise.")) (|explogs2trigs| (((|Complex| |#2|) |#3|) "\\spad{explogs2trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (F2FG ((|#3| |#2|) "\\spad{F2FG(a + sqrt(-1) b)} returns \\spad{a + i b}.")) (FG2F ((|#2| |#3|) "\\spad{FG2F(a + i b)} returns \\spad{a + sqrt(-1) b}.")) (GF2FG ((|#3| (|Complex| |#2|)) "\\spad{GF2FG(a + i b)} returns \\spad{a + i b} viewed as a function with the \\spad{i} pushed down into the coefficient domain."))) NIL NIL @@ -2391,7 +2391,7 @@ NIL (-615 R |mn|) ((|constructor| (NIL "\\indented{2}{This type represents vector like objects with varying lengths} and a user-specified initial index."))) ((-4471 . T) (-4470 . T)) -((-3803 (-12 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-3803 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-742))) (|HasCategory| |#1| (QUOTE (-1074))) (-12 (|HasCategory| |#1| (QUOTE (-1027))) (|HasCategory| |#1| (QUOTE (-1074)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) +((-2811 (-12 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-2811 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-742))) (|HasCategory| |#1| (QUOTE (-1074))) (-12 (|HasCategory| |#1| (QUOTE (-1027))) (|HasCategory| |#1| (QUOTE (-1074)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-616 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|) $) "\\spad{entries(u)} returns a list of all the entries of aggregate \\spad{u} in no assumed order."))) NIL @@ -2410,12 +2410,12 @@ NIL NIL (-620 R A) ((|constructor| (NIL "\\indented{1}{AssociatedJordanAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$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)."))) -((-4467 -3803 (-2388 (|has| |#2| (-379 |#1|)) (|has| |#1| (-569))) (-12 (|has| |#2| (-430 |#1|)) (|has| |#1| (-569)))) (-4465 . T) (-4464 . T)) -((-3803 (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|)))) +((-4467 -2811 (-2700 (|has| |#2| (-379 |#1|)) (|has| |#1| (-569))) (-12 (|has| |#2| (-430 |#1|)) (|has| |#1| (-569)))) (-4465 . T) (-4464 . T)) +((-2811 (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|)))) (-621 |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."))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| (-2 (|:| -2350 (-1183)) (|:| -2911 |#1|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -2350 (-1183)) (|:| -2911 |#1|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2350) (QUOTE (-1183))) (LIST (QUOTE |:|) (QUOTE -2911) (|devaluate| |#1|)))))) (|HasCategory| (-2 (|:| -2350 (-1183)) (|:| -2911 |#1|)) (LIST (QUOTE -627) (QUOTE (-549)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| (-1183) (QUOTE (-865))) (|HasCategory| (-2 (|:| -2350 (-1183)) (|:| -2911 |#1|)) (QUOTE (-1125))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -2350 (-1183)) (|:| -2911 |#1|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -2350 (-1183)) (|:| -2911 |#1|)) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -4323 (-1183)) (|:| -2438 |#1|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -4323 (-1183)) (|:| -2438 |#1|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4323) (QUOTE (-1183))) (LIST (QUOTE |:|) (QUOTE -2438) (|devaluate| |#1|)))))) (|HasCategory| (-2 (|:| -4323 (-1183)) (|:| -2438 |#1|)) (LIST (QUOTE -627) (QUOTE (-549)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| (-1183) (QUOTE (-865))) (|HasCategory| (-2 (|:| -4323 (-1183)) (|:| -2438 |#1|)) (QUOTE (-1125))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -4323 (-1183)) (|:| -2438 |#1|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -4323 (-1183)) (|:| -2438 |#1|)) (QUOTE (-102)))) (-622 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 @@ -2440,7 +2440,7 @@ NIL ((|constructor| (NIL "A is convertible to \\spad{B} means any element of A can be converted into an element of \\spad{B},{} but not automatically by the interpreter.")) (|convert| ((|#1| $) "\\spad{convert(a)} transforms a into an element of \\spad{S}."))) NIL NIL -(-628 -2191 UP) +(-628 -1985 UP) ((|constructor| (NIL "\\spadtype{Kovacic} provides a modified Kovacic\\spad{'s} algorithm for solving explicitely irreducible 2nd order linear ordinary differential equations.")) (|kovacic| (((|Union| (|SparseUnivariatePolynomial| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{kovacic(a_0,a_1,a_2,ezfactor)} returns either \"failed\" or \\spad{P}(\\spad{u}) such that \\spad{\\$e^{\\int(-a_1/2a_2)} e^{\\int u}\\$} is a solution of \\indented{5}{\\spad{\\$a_2 y'' + a_1 y' + a0 y = 0\\$}} whenever \\spad{u} is a solution of \\spad{P u = 0}. The equation must be already irreducible over the rational functions. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|Union| (|SparseUnivariatePolynomial| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{kovacic(a_0,a_1,a_2)} returns either \"failed\" or \\spad{P}(\\spad{u}) such that \\spad{\\$e^{\\int(-a_1/2a_2)} e^{\\int u}\\$} is a solution of \\indented{5}{\\spad{a_2 y'' + a_1 y' + a0 y = 0}} whenever \\spad{u} is a solution of \\spad{P u = 0}. The equation must be already irreducible over the rational functions."))) NIL NIL @@ -2468,7 +2468,7 @@ NIL ((|constructor| (NIL "LocalAlgebra produces the localization of an algebra,{} \\spadignore{i.e.} fractions whose numerators come from some \\spad{R} algebra.")) (|denom| ((|#3| $) "\\spad{denom x} returns the denominator of \\spad{x}.")) (|numer| ((|#1| $) "\\spad{numer x} returns the numerator of \\spad{x}.")) (/ (($ |#1| |#3|) "\\spad{a / d} divides the element \\spad{a} by \\spad{d}.") (($ $ |#3|) "\\spad{x / d} divides the element \\spad{x} by \\spad{d}."))) ((-4464 . T) (-4465 . T) (-4467 . T)) ((|HasCategory| |#1| (QUOTE (-864)))) -(-635 R -2191) +(-635 R -1985) ((|constructor| (NIL "This package computes the forward Laplace Transform.")) (|laplace| ((|#2| |#2| (|Symbol|) (|Symbol|)) "\\spad{laplace(f, t, s)} returns the Laplace transform of \\spad{f(t)} using \\spad{s} as the new variable. This is \\spad{integral(exp(-s*t)*f(t), t = 0..\\%plusInfinity)}. Returns the formal object \\spad{laplace(f, t, s)} if it cannot compute the transform."))) NIL NIL @@ -2500,18 +2500,18 @@ NIL ((|constructor| (NIL "Category for the transcendental Liouvillian functions.")) (|erf| (($ $) "\\spad{erf(x)} returns the error function of \\spad{x},{} \\spadignore{i.e.} \\spad{2 / sqrt(\\%pi)} times the integral of \\spad{exp(-x**2) dx}.")) (|dilog| (($ $) "\\spad{dilog(x)} returns the dilogarithm of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{log(x) / (1 - x) dx}.")) (|li| (($ $) "\\spad{li(x)} returns the logarithmic integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{dx / log(x)}.")) (|Ci| (($ $) "\\spad{Ci(x)} returns the cosine integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{cos(x) / x dx}.")) (|Si| (($ $) "\\spad{Si(x)} returns the sine integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{sin(x) / x dx}.")) (|Ei| (($ $) "\\spad{Ei(x)} returns the exponential integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{exp(x)/x dx}."))) NIL NIL -(-643 R -2191) +(-643 R -1985) ((|constructor| (NIL "This package provides liouvillian functions over an integral domain.")) (|integral| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{integral(f,x = a..b)} denotes the definite integral of \\spad{f} with respect to \\spad{x} from \\spad{a} to \\spad{b}.") ((|#2| |#2| (|Symbol|)) "\\spad{integral(f,x)} indefinite integral of \\spad{f} with respect to \\spad{x}.")) (|dilog| ((|#2| |#2|) "\\spad{dilog(f)} denotes the dilogarithm")) (|erf| ((|#2| |#2|) "\\spad{erf(f)} denotes the error function")) (|li| ((|#2| |#2|) "\\spad{li(f)} denotes the logarithmic integral")) (|Ci| ((|#2| |#2|) "\\spad{Ci(f)} denotes the cosine integral")) (|Si| ((|#2| |#2|) "\\spad{Si(f)} denotes the sine integral")) (|Ei| ((|#2| |#2|) "\\spad{Ei(f)} denotes the exponential integral")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns the Liouvillian operator based on \\spad{op}")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} checks if \\spad{op} is Liouvillian"))) NIL NIL -(-644 |lv| -2191) +(-644 |lv| -1985) ((|constructor| (NIL "\\indented{1}{Given a Groebner basis \\spad{B} with respect to the total degree ordering for} a zero-dimensional ideal \\spad{I},{} compute a Groebner basis with respect to the lexicographical ordering by using linear algebra.")) (|transform| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{transform }\\undocumented")) (|choosemon| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{choosemon }\\undocumented")) (|intcompBasis| (((|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|OrderedVariableList| |#1|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{intcompBasis }\\undocumented")) (|anticoord| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|List| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{anticoord }\\undocumented")) (|coord| (((|Vector| |#2|) (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{coord }\\undocumented")) (|computeBasis| (((|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{computeBasis }\\undocumented")) (|minPol| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|OrderedVariableList| |#1|)) "\\spad{minPol }\\undocumented") (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|OrderedVariableList| |#1|)) "\\spad{minPol }\\undocumented")) (|totolex| (((|List| (|DistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{totolex }\\undocumented")) (|groebgen| (((|Record| (|:| |glbase| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|:| |glval| (|List| (|Integer|)))) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{groebgen }\\undocumented")) (|linGenPos| (((|Record| (|:| |gblist| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|:| |gvlist| (|List| (|Integer|)))) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{linGenPos }\\undocumented"))) NIL NIL (-645) ((|constructor| (NIL "This domain provides a simple way to save values in files.")) (|setelt| (((|Any|) $ (|Symbol|) (|Any|)) "\\spad{lib.k := v} saves the value \\spad{v} in the library \\spad{lib}. It can later be extracted using the key \\spad{k}.")) (|pack!| (($ $) "\\spad{pack!(f)} reorganizes the file \\spad{f} on disk to recover unused space.")) (|library| (($ (|FileName|)) "\\spad{library(ln)} creates a new library file."))) ((-4471 . T)) -((-12 (|HasCategory| (-2 (|:| -2350 (-1183)) (|:| -2911 (-52))) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -2350 (-1183)) (|:| -2911 (-52))) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2350) (QUOTE (-1183))) (LIST (QUOTE |:|) (QUOTE -2911) (QUOTE (-52))))))) (-3803 (|HasCategory| (-2 (|:| -2350 (-1183)) (|:| -2911 (-52))) (QUOTE (-1125))) (|HasCategory| (-52) (QUOTE (-1125)))) (-3803 (|HasCategory| (-2 (|:| -2350 (-1183)) (|:| -2911 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -2350 (-1183)) (|:| -2911 (-52))) (QUOTE (-1125))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1125)))) (-3803 (|HasCategory| (-2 (|:| -2350 (-1183)) (|:| -2911 (-52))) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -2350 (-1183)) (|:| -2911 (-52))) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-52) (QUOTE (-1125))) (|HasCategory| (-52) (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| (-2 (|:| -2350 (-1183)) (|:| -2911 (-52))) (LIST (QUOTE -627) (QUOTE (-549)))) (-12 (|HasCategory| (-52) (QUOTE (-1125))) (|HasCategory| (-52) (LIST (QUOTE -320) (QUOTE (-52))))) (|HasCategory| (-1183) (QUOTE (-865))) (-3803 (|HasCategory| (-2 (|:| -2350 (-1183)) (|:| -2911 (-52))) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-52) (LIST (QUOTE -626) (QUOTE (-880))))) (-3803 (|HasCategory| (-2 (|:| -2350 (-1183)) (|:| -2911 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-1125))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -2350 (-1183)) (|:| -2911 (-52))) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -2350 (-1183)) (|:| -2911 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -2350 (-1183)) (|:| -2911 (-52))) (QUOTE (-1125)))) +((-12 (|HasCategory| (-2 (|:| -4323 (-1183)) (|:| -2438 (-52))) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -4323 (-1183)) (|:| -2438 (-52))) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4323) (QUOTE (-1183))) (LIST (QUOTE |:|) (QUOTE -2438) (QUOTE (-52))))))) (-2811 (|HasCategory| (-2 (|:| -4323 (-1183)) (|:| -2438 (-52))) (QUOTE (-1125))) (|HasCategory| (-52) (QUOTE (-1125)))) (-2811 (|HasCategory| (-2 (|:| -4323 (-1183)) (|:| -2438 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4323 (-1183)) (|:| -2438 (-52))) (QUOTE (-1125))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1125)))) (-2811 (|HasCategory| (-2 (|:| -4323 (-1183)) (|:| -2438 (-52))) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -4323 (-1183)) (|:| -2438 (-52))) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-52) (QUOTE (-1125))) (|HasCategory| (-52) (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| (-2 (|:| -4323 (-1183)) (|:| -2438 (-52))) (LIST (QUOTE -627) (QUOTE (-549)))) (-12 (|HasCategory| (-52) (QUOTE (-1125))) (|HasCategory| (-52) (LIST (QUOTE -320) (QUOTE (-52))))) (|HasCategory| (-1183) (QUOTE (-865))) (-2811 (|HasCategory| (-2 (|:| -4323 (-1183)) (|:| -2438 (-52))) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-52) (LIST (QUOTE -626) (QUOTE (-880))))) (-2811 (|HasCategory| (-2 (|:| -4323 (-1183)) (|:| -2438 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-1125))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -4323 (-1183)) (|:| -2438 (-52))) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -4323 (-1183)) (|:| -2438 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4323 (-1183)) (|:| -2438 (-52))) (QUOTE (-1125)))) (-646 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| (($ $ $) "\\axiom{construct(\\spad{x},{}\\spad{y})} returns the Lie bracket of \\axiom{\\spad{x}} and \\axiom{\\spad{y}}."))) NIL @@ -2522,8 +2522,8 @@ NIL NIL (-648 R A) ((|constructor| (NIL "AssociatedLieAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$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)."))) -((-4467 -3803 (-2388 (|has| |#2| (-379 |#1|)) (|has| |#1| (-569))) (-12 (|has| |#2| (-430 |#1|)) (|has| |#1| (-569)))) (-4465 . T) (-4464 . T)) -((-3803 (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|)))) +((-4467 -2811 (-2700 (|has| |#2| (-379 |#1|)) (|has| |#1| (-569))) (-12 (|has| |#2| (-430 |#1|)) (|has| |#1| (-569)))) (-4465 . T) (-4464 . T)) +((-2811 (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -379) (|devaluate| |#1|)))) (-649 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 @@ -2539,7 +2539,7 @@ NIL (-652 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 -((-2376 (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (QUOTE (-375)))) +((-2686 (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (QUOTE (-375)))) (-653 K B) ((|constructor| (NIL "A simple data structure for elements that form a vector space of finite dimension over a given field,{} with a given symbolic basis.")) (|coordinates| (((|Vector| |#1|) $) "\\spad{coordinates x} returns the coordinates of the linear element with respect to the basis \\spad{B}.")) (|linearElement| (($ (|List| |#1|)) "\\spad{linearElement [x1,..,xn]} returns a linear element \\indented{1}{with coordinates \\spad{[x1,..,xn]} with respect to} the basis elements \\spad{B}."))) ((-4465 . T) (-4464 . T)) @@ -2571,7 +2571,7 @@ NIL (-660 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."))) ((-4471 . T) (-4470 . T)) -((-3803 (-12 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-3803 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-844))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) +((-2811 (-12 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-2811 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-844))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-661 T$) ((|constructor| (NIL "This domain represents AST for Spad literals."))) NIL @@ -2583,7 +2583,7 @@ NIL (-663 S) ((|substitute| (($ |#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."))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) (-664 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 @@ -2600,7 +2600,7 @@ NIL ((|constructor| (NIL "A linear aggregate is an aggregate whose elements are indexed by integers. Examples of linear aggregates are strings,{} lists,{} and arrays. Most of the exported operations for linear aggregates are non-destructive but are not always efficient for a particular aggregate. For example,{} \\spadfun{concat} of two lists needs only to copy its first argument,{} whereas \\spadfun{concat} of two arrays needs to copy both arguments. Most of the operations exported here apply to infinite objects (\\spadignore{e.g.} streams) as well to finite ones. For finite linear aggregates,{} see \\spadtype{FiniteLinearAggregate}.")) (|setelt| ((|#1| $ (|UniversalSegment| (|Integer|)) |#1|) "\\spad{setelt(u,i..j,x)} (also written: \\axiom{\\spad{u}(\\spad{i}..\\spad{j}) \\spad{:=} \\spad{x}}) destructively replaces each element in the segment \\axiom{\\spad{u}(\\spad{i}..\\spad{j})} by \\spad{x}. The value \\spad{x} is returned. Note: \\spad{u} is destructively change so that \\axiom{\\spad{u}.\\spad{k} \\spad{:=} \\spad{x} for \\spad{k} in \\spad{i}..\\spad{j}}; its length remains unchanged.")) (|insert| (($ $ $ (|Integer|)) "\\spad{insert(v,u,k)} returns a copy of \\spad{u} having \\spad{v} inserted beginning at the \\axiom{\\spad{i}}th element. Note: \\axiom{insert(\\spad{v},{}\\spad{u},{}\\spad{k}) = concat( \\spad{u}(0..\\spad{k}-1),{} \\spad{v},{} \\spad{u}(\\spad{k}..) )}.") (($ |#1| $ (|Integer|)) "\\spad{insert(x,u,i)} returns a copy of \\spad{u} having \\spad{x} as its \\axiom{\\spad{i}}th element. Note: \\axiom{insert(\\spad{x},{}a,{}\\spad{k}) = concat(concat(a(0..\\spad{k}-1),{}\\spad{x}),{}a(\\spad{k}..))}.")) (|delete| (($ $ (|UniversalSegment| (|Integer|))) "\\spad{delete(u,i..j)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th through \\axiom{\\spad{j}}th element deleted. Note: \\axiom{delete(a,{}\\spad{i}..\\spad{j}) = concat(a(0..\\spad{i}-1),{}a(\\spad{j+1}..))}.") (($ $ (|Integer|)) "\\spad{delete(u,i)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th element deleted. Note: for lists,{} \\axiom{delete(a,{}\\spad{i}) \\spad{==} concat(a(0..\\spad{i} - 1),{}a(\\spad{i} + 1,{}..))}.")) (|map| (($ (|Mapping| |#1| |#1| |#1|) $ $) "\\spad{map(f,u,v)} returns a new collection \\spad{w} with elements \\axiom{\\spad{z} = \\spad{f}(\\spad{x},{}\\spad{y})} for corresponding elements \\spad{x} and \\spad{y} from \\spad{u} and \\spad{v}. Note: for linear aggregates,{} \\axiom{\\spad{w}.\\spad{i} = \\spad{f}(\\spad{u}.\\spad{i},{}\\spad{v}.\\spad{i})}.")) (|concat| (($ (|List| $)) "\\spad{concat(u)},{} where \\spad{u} is a lists of aggregates \\axiom{[a,{}\\spad{b},{}...,{}\\spad{c}]},{} returns a single aggregate consisting of the elements of \\axiom{a} followed by those of \\spad{b} followed ... by the elements of \\spad{c}. Note: \\axiom{concat(a,{}\\spad{b},{}...,{}\\spad{c}) = concat(a,{}concat(\\spad{b},{}...,{}\\spad{c}))}.") (($ $ $) "\\spad{concat(u,v)} returns an aggregate consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: if \\axiom{\\spad{w} = concat(\\spad{u},{}\\spad{v})} then \\axiom{\\spad{w}.\\spad{i} = \\spad{u}.\\spad{i} for \\spad{i} in indices \\spad{u}} and \\axiom{\\spad{w}.(\\spad{j} + maxIndex \\spad{u}) = \\spad{v}.\\spad{j} for \\spad{j} in indices \\spad{v}}.") (($ |#1| $) "\\spad{concat(x,u)} returns aggregate \\spad{u} with additional element at the front. Note: for lists: \\axiom{concat(\\spad{x},{}\\spad{u}) \\spad{==} concat([\\spad{x}],{}\\spad{u})}.") (($ $ |#1|) "\\spad{concat(u,x)} returns aggregate \\spad{u} with additional element \\spad{x} at the end. Note: for lists,{} \\axiom{concat(\\spad{u},{}\\spad{x}) \\spad{==} concat(\\spad{u},{}[\\spad{x}])}")) (|new| (($ (|NonNegativeInteger|) |#1|) "\\spad{new(n,x)} returns \\axiom{fill!(new \\spad{n},{}\\spad{x})}."))) NIL NIL -(-668 R -2191 L) +(-668 R -1985 L) ((|constructor| (NIL "\\spad{ElementaryFunctionLODESolver} provides the top-level functions for finding closed form solutions of linear ordinary differential equations and initial value problems.")) (|solve| (((|Union| |#2| "failed") |#3| |#2| (|Symbol|) |#2| (|List| |#2|)) "\\spad{solve(op, g, x, a, [y0,...,ym])} returns either the solution of the initial value problem \\spad{op y = g, y(a) = y0, y'(a) = y1,...} or \"failed\" if the solution cannot be found; \\spad{x} is the dependent variable.") (((|Union| (|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) "failed") |#3| |#2| (|Symbol|)) "\\spad{solve(op, g, x)} returns either a solution of the ordinary differential equation \\spad{op y = g} or \"failed\" if no non-trivial solution can be found; When found,{} the solution is returned in the form \\spad{[h, [b1,...,bm]]} where \\spad{h} is a particular solution and and \\spad{[b1,...bm]} are linearly independent solutions of the associated homogenuous equation \\spad{op y = 0}. A full basis for the solutions of the homogenuous equation is not always returned,{} only the solutions which were found; \\spad{x} is the dependent variable."))) NIL NIL @@ -2620,11 +2620,11 @@ NIL ((|constructor| (NIL "\\spad{LinearOrdinaryDifferentialOperatorCategory} is the category of differential operators with coefficients in a ring A with a given derivation. Multiplication of operators corresponds to functional composition: \\indented{4}{\\spad{(L1 * L2).(f) = L1 L2 f}}")) (|directSum| (($ $ $) "\\spad{directSum(a,b)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the sums of a solution of \\spad{a} by a solution of \\spad{b}.")) (|symmetricSquare| (($ $) "\\spad{symmetricSquare(a)} computes \\spad{symmetricProduct(a,a)} using a more efficient method.")) (|symmetricPower| (($ $ (|NonNegativeInteger|)) "\\spad{symmetricPower(a,n)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of \\spad{n} solutions of \\spad{a}.")) (|symmetricProduct| (($ $ $) "\\spad{symmetricProduct(a,b)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of a solution of \\spad{a} by a solution of \\spad{b}.")) (|adjoint| (($ $) "\\spad{adjoint(a)} returns the adjoint operator of a.")) (D (($) "\\spad{D()} provides the operator corresponding to a derivation in the ring \\spad{A}."))) ((-4464 . T) (-4465 . T) (-4467 . T)) NIL -(-673 -2191 UP) +(-673 -1985 UP) ((|constructor| (NIL "\\spadtype{LinearOrdinaryDifferentialOperatorFactorizer} provides a factorizer for linear ordinary differential operators whose coefficients are rational functions.")) (|factor1| (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{factor1(a)} returns the factorisation of a,{} assuming that a has no first-order right factor.")) (|factor| (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{factor(a)} returns the factorisation of a.") (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{factor(a, zeros)} returns the factorisation of a. \\spad{zeros} is a zero finder in \\spad{UP}."))) NIL ((|HasCategory| |#1| (QUOTE (-27)))) -(-674 A -1907) +(-674 A -3616) ((|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}}"))) ((-4464 . T) (-4465 . T) (-4467 . T)) ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-375)))) @@ -2660,11 +2660,11 @@ NIL ((|constructor| (NIL "A list aggregate is a model for a linked list data structure. A linked list is a versatile data structure. Insertion and deletion are efficient and searching is a linear operation.")) (|list| (($ |#1|) "\\spad{list(x)} returns the list of one element \\spad{x}."))) ((-4471 . T) (-4470 . T)) NIL -(-683 -2191) +(-683 -1985) ((|constructor| (NIL "This package solves linear system in the matrix form \\spad{AX = B}. It is essentially a particular instantiation of the package \\spadtype{LinearSystemMatrixPackage} for Matrix and Vector. This package\\spad{'s} existence makes it easier to use \\spadfun{solve} in the AXIOM interpreter.")) (|rank| (((|NonNegativeInteger|) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{rank(A,B)} computes the rank of the complete matrix \\spad{(A|B)} of the linear system \\spad{AX = B}.")) (|hasSolution?| (((|Boolean|) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{hasSolution?(A,B)} tests if the linear system \\spad{AX = B} has a solution.")) (|particularSolution| (((|Union| (|Vector| |#1|) "failed") (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{particularSolution(A,B)} finds a particular solution of the linear system \\spad{AX = B}.")) (|solve| (((|List| (|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|))))) (|List| (|List| |#1|)) (|List| (|Vector| |#1|))) "\\spad{solve(A,LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|List| (|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|))))) (|Matrix| |#1|) (|List| (|Vector| |#1|))) "\\spad{solve(A,LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|List| (|List| |#1|)) (|Vector| |#1|)) "\\spad{solve(A,B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}.") (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{solve(A,B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}."))) NIL NIL -(-684 -2191 |Row| |Col| M) +(-684 -1985 |Row| |Col| M) ((|constructor| (NIL "This package solves linear system in the matrix form \\spad{AX = B}.")) (|rank| (((|NonNegativeInteger|) |#4| |#3|) "\\spad{rank(A,B)} computes the rank of the complete matrix \\spad{(A|B)} of the linear system \\spad{AX = B}.")) (|hasSolution?| (((|Boolean|) |#4| |#3|) "\\spad{hasSolution?(A,B)} tests if the linear system \\spad{AX = B} has a solution.")) (|particularSolution| (((|Union| |#3| "failed") |#4| |#3|) "\\spad{particularSolution(A,B)} finds a particular solution of the linear system \\spad{AX = B}.")) (|solve| (((|List| (|Record| (|:| |particular| (|Union| |#3| "failed")) (|:| |basis| (|List| |#3|)))) |#4| (|List| |#3|)) "\\spad{solve(A,LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|Record| (|:| |particular| (|Union| |#3| "failed")) (|:| |basis| (|List| |#3|))) |#4| |#3|) "\\spad{solve(A,B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}."))) NIL NIL @@ -2675,7 +2675,7 @@ NIL (-686 |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."))) ((-4467 . T) (-4470 . T) (-4464 . T) (-4465 . T)) -((|HasCategory| |#2| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#2| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (QUOTE (-238))) (|HasAttribute| |#2| (QUOTE (-4472 "*"))) (|HasCategory| |#2| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-577)))) (-3803 (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -654) (QUOTE (-577))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -921) (QUOTE (-1201)))))) (|HasCategory| |#2| (QUOTE (-318))) (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-375))) (|HasCategory| |#2| (QUOTE (-569))) (-3803 (|HasAttribute| |#2| (QUOTE (-4472 "*"))) (|HasCategory| |#2| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#2| (QUOTE (-239)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) +((|HasCategory| |#2| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#2| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (QUOTE (-238))) (|HasAttribute| |#2| (QUOTE (-4472 "*"))) (|HasCategory| |#2| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-577)))) (-2811 (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -654) (QUOTE (-577))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -921) (QUOTE (-1201)))))) (|HasCategory| |#2| (QUOTE (-318))) (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-375))) (|HasCategory| |#2| (QUOTE (-569))) (-2811 (|HasAttribute| |#2| (QUOTE (-4472 "*"))) (|HasCategory| |#2| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#2| (QUOTE (-239)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) (-687) ((|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 @@ -2695,7 +2695,7 @@ NIL (-691 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 -((-3803 (-12 (|HasCategory| |#1| (QUOTE (-1074))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1125))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (QUOTE (-1074))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) +((-2811 (-12 (|HasCategory| |#1| (QUOTE (-1074))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1125))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (QUOTE (-1074))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-692) ((|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 @@ -2751,7 +2751,7 @@ NIL (-705 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."))) ((-4470 . T) (-4471 . T)) -((-3803 (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1125))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-569))) (|HasAttribute| |#1| (QUOTE (-4472 "*"))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) +((-2811 (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1125))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-318))) (|HasCategory| |#1| (QUOTE (-569))) (|HasAttribute| |#1| (QUOTE (-4472 "*"))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-706 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 @@ -2760,7 +2760,7 @@ NIL ((|constructor| (NIL "This domain implements the notion of optional value,{} where a computation may fail to produce expected value.")) (|nothing| (($) "\\spad{nothing} represents failure or absence of value.")) (|autoCoerce| ((|#1| $) "\\spad{autoCoerce} is a courtesy coercion function used by the compiler in case it knows that \\spad{`x'} really is a \\spadtype{T}.")) (|case| (((|Boolean|) $ (|[\|\|]| |nothing|)) "\\spad{x case nothing} holds if the value for \\spad{x} is missing.") (((|Boolean|) $ (|[\|\|]| |#1|)) "\\spad{x case T} returns \\spad{true} if \\spad{x} is actually a data of type \\spad{T}.")) (|just| (($ |#1|) "\\spad{just x} injects the value \\spad{`x'} into \\%."))) NIL NIL -(-708 S -2191 FLAF FLAS) +(-708 S -1985 FLAF FLAS) ((|constructor| (NIL "\\indented{1}{\\spadtype{MultiVariableCalculusFunctions} Package provides several} \\indented{1}{functions for multivariable calculus.} These include gradient,{} hessian and jacobian,{} divergence and laplacian. Various forms for banded and sparse storage of matrices are included.")) (|bandedJacobian| (((|Matrix| |#2|) |#3| |#4| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{bandedJacobian(vf,xlist,kl,ku)} computes the jacobian,{} the matrix of first partial derivatives,{} of the vector field \\spad{vf},{} \\spad{vf} a vector function of the variables listed in \\spad{xlist},{} \\spad{kl} is the number of nonzero subdiagonals,{} \\spad{ku} is the number of nonzero superdiagonals,{} kl+ku+1 being actual bandwidth. Stores the nonzero band in a matrix,{} dimensions kl+ku+1 by \\#xlist. The upper triangle is in the top \\spad{ku} rows,{} the diagonal is in row ku+1,{} the lower triangle in the last \\spad{kl} rows. Entries in a column in the band store correspond to entries in same column of full store. (The notation conforms to LAPACK/NAG-\\spad{F07} conventions.)")) (|jacobian| (((|Matrix| |#2|) |#3| |#4|) "\\spad{jacobian(vf,xlist)} computes the jacobian,{} the matrix of first partial derivatives,{} of the vector field \\spad{vf},{} \\spad{vf} a vector function of the variables listed in \\spad{xlist}.")) (|bandedHessian| (((|Matrix| |#2|) |#2| |#4| (|NonNegativeInteger|)) "\\spad{bandedHessian(v,xlist,k)} computes the hessian,{} the matrix of second partial derivatives,{} of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist},{} \\spad{k} is the semi-bandwidth,{} the number of nonzero subdiagonals,{} 2*k+1 being actual bandwidth. Stores the nonzero band in lower triangle in a matrix,{} dimensions \\spad{k+1} by \\#xlist,{} whose rows are the vectors formed by diagonal,{} subdiagonal,{} etc. of the real,{} full-matrix,{} hessian. (The notation conforms to LAPACK/NAG-\\spad{F07} conventions.)")) (|hessian| (((|Matrix| |#2|) |#2| |#4|) "\\spad{hessian(v,xlist)} computes the hessian,{} the matrix of second partial derivatives,{} of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist}.")) (|laplacian| ((|#2| |#2| |#4|) "\\spad{laplacian(v,xlist)} computes the laplacian of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist}.")) (|divergence| ((|#2| |#3| |#4|) "\\spad{divergence(vf,xlist)} computes the divergence of the vector field \\spad{vf},{} \\spad{vf} a vector function of the variables listed in \\spad{xlist}.")) (|gradient| (((|Vector| |#2|) |#2| |#4|) "\\spad{gradient(v,xlist)} computes the gradient,{} the vector of first partial derivatives,{} of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist}."))) NIL NIL @@ -2770,8 +2770,8 @@ NIL NIL (-710) ((|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"))) -((-4463 . T) (-4468 |has| (-715) (-375)) (-4462 |has| (-715) (-375)) (-2712 . T) (-4469 |has| (-715) (-6 -4469)) (-4466 |has| (-715) (-6 -4466)) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| (-715) (QUOTE (-148))) (|HasCategory| (-715) (QUOTE (-146))) (|HasCategory| (-715) (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-715) (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| (-715) (QUOTE (-380))) (|HasCategory| (-715) (QUOTE (-375))) (-3803 (|HasCategory| (-715) (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-715) (QUOTE (-375)))) (|HasCategory| (-715) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-715) (QUOTE (-239))) (|HasCategory| (-715) (QUOTE (-238))) (-3803 (-12 (|HasCategory| (-715) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-715) (QUOTE (-375)))) (|HasCategory| (-715) (LIST (QUOTE -923) (QUOTE (-1201))))) (-3803 (|HasCategory| (-715) (QUOTE (-375))) (|HasCategory| (-715) (QUOTE (-361)))) (|HasCategory| (-715) (QUOTE (-361))) (|HasCategory| (-715) (LIST (QUOTE -297) (QUOTE (-715)) (QUOTE (-715)))) (|HasCategory| (-715) (LIST (QUOTE -320) (QUOTE (-715)))) (|HasCategory| (-715) (LIST (QUOTE -527) (QUOTE (-1201)) (QUOTE (-715)))) (|HasCategory| (-715) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| (-715) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| (-715) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| (-715) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (-3803 (|HasCategory| (-715) (QUOTE (-318))) (|HasCategory| (-715) (QUOTE (-375))) (|HasCategory| (-715) (QUOTE (-361)))) (|HasCategory| (-715) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| (-715) (QUOTE (-1047))) (|HasCategory| (-715) (QUOTE (-1227))) (-12 (|HasCategory| (-715) (QUOTE (-1027))) (|HasCategory| (-715) (QUOTE (-1227)))) (-3803 (-12 (|HasCategory| (-715) (QUOTE (-318))) (|HasCategory| (-715) (QUOTE (-932)))) (|HasCategory| (-715) (QUOTE (-375))) (-12 (|HasCategory| (-715) (QUOTE (-361))) (|HasCategory| (-715) (QUOTE (-932))))) (-3803 (-12 (|HasCategory| (-715) (QUOTE (-318))) (|HasCategory| (-715) (QUOTE (-932)))) (-12 (|HasCategory| (-715) (QUOTE (-375))) (|HasCategory| (-715) (QUOTE (-932)))) (-12 (|HasCategory| (-715) (QUOTE (-361))) (|HasCategory| (-715) (QUOTE (-932))))) (|HasCategory| (-715) (QUOTE (-558))) (-12 (|HasCategory| (-715) (QUOTE (-1085))) (|HasCategory| (-715) (QUOTE (-1227)))) (|HasCategory| (-715) (QUOTE (-1085))) (|HasCategory| (-715) (QUOTE (-318))) (|HasCategory| (-715) (QUOTE (-932))) (-3803 (-12 (|HasCategory| (-715) (QUOTE (-318))) (|HasCategory| (-715) (QUOTE (-932)))) (|HasCategory| (-715) (QUOTE (-375)))) (-3803 (-12 (|HasCategory| (-715) (QUOTE (-239))) (|HasCategory| (-715) (QUOTE (-375)))) (|HasCategory| (-715) (QUOTE (-238)))) (-3803 (-12 (|HasCategory| (-715) (QUOTE (-318))) (|HasCategory| (-715) (QUOTE (-932)))) (|HasCategory| (-715) (QUOTE (-569)))) (-12 (|HasCategory| (-715) (QUOTE (-238))) (|HasCategory| (-715) (QUOTE (-375)))) (-12 (|HasCategory| (-715) (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| (-715) (QUOTE (-375)))) (-12 (|HasCategory| (-715) (QUOTE (-239))) (|HasCategory| (-715) (QUOTE (-375)))) (-12 (|HasCategory| (-715) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-715) (QUOTE (-375)))) (|HasCategory| (-715) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| (-715) (QUOTE (-569))) (|HasAttribute| (-715) (QUOTE -4469)) (|HasAttribute| (-715) (QUOTE -4466)) (-12 (|HasCategory| (-715) (QUOTE (-318))) (|HasCategory| (-715) (QUOTE (-932)))) (|HasCategory| (-715) (LIST (QUOTE -923) (QUOTE (-1201)))) (-3803 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-715) (QUOTE (-318))) (|HasCategory| (-715) (QUOTE (-932)))) (|HasCategory| (-715) (QUOTE (-146)))) (-3803 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-715) (QUOTE (-318))) (|HasCategory| (-715) (QUOTE (-932)))) (|HasCategory| (-715) (QUOTE (-361))))) +((-4463 . T) (-4468 |has| (-715) (-375)) (-4462 |has| (-715) (-375)) (-4155 . T) (-4469 |has| (-715) (-6 -4469)) (-4466 |has| (-715) (-6 -4466)) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) +((|HasCategory| (-715) (QUOTE (-148))) (|HasCategory| (-715) (QUOTE (-146))) (|HasCategory| (-715) (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-715) (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| (-715) (QUOTE (-380))) (|HasCategory| (-715) (QUOTE (-375))) (-2811 (|HasCategory| (-715) (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-715) (QUOTE (-375)))) (|HasCategory| (-715) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-715) (QUOTE (-239))) (|HasCategory| (-715) (QUOTE (-238))) (-2811 (-12 (|HasCategory| (-715) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-715) (QUOTE (-375)))) (|HasCategory| (-715) (LIST (QUOTE -923) (QUOTE (-1201))))) (-2811 (|HasCategory| (-715) (QUOTE (-375))) (|HasCategory| (-715) (QUOTE (-361)))) (|HasCategory| (-715) (QUOTE (-361))) (|HasCategory| (-715) (LIST (QUOTE -297) (QUOTE (-715)) (QUOTE (-715)))) (|HasCategory| (-715) (LIST (QUOTE -320) (QUOTE (-715)))) (|HasCategory| (-715) (LIST (QUOTE -527) (QUOTE (-1201)) (QUOTE (-715)))) (|HasCategory| (-715) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| (-715) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| (-715) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| (-715) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (-2811 (|HasCategory| (-715) (QUOTE (-318))) (|HasCategory| (-715) (QUOTE (-375))) (|HasCategory| (-715) (QUOTE (-361)))) (|HasCategory| (-715) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| (-715) (QUOTE (-1047))) (|HasCategory| (-715) (QUOTE (-1227))) (-12 (|HasCategory| (-715) (QUOTE (-1027))) (|HasCategory| (-715) (QUOTE (-1227)))) (-2811 (-12 (|HasCategory| (-715) (QUOTE (-318))) (|HasCategory| (-715) (QUOTE (-932)))) (|HasCategory| (-715) (QUOTE (-375))) (-12 (|HasCategory| (-715) (QUOTE (-361))) (|HasCategory| (-715) (QUOTE (-932))))) (-2811 (-12 (|HasCategory| (-715) (QUOTE (-318))) (|HasCategory| (-715) (QUOTE (-932)))) (-12 (|HasCategory| (-715) (QUOTE (-375))) (|HasCategory| (-715) (QUOTE (-932)))) (-12 (|HasCategory| (-715) (QUOTE (-361))) (|HasCategory| (-715) (QUOTE (-932))))) (|HasCategory| (-715) (QUOTE (-558))) (-12 (|HasCategory| (-715) (QUOTE (-1085))) (|HasCategory| (-715) (QUOTE (-1227)))) (|HasCategory| (-715) (QUOTE (-1085))) (|HasCategory| (-715) (QUOTE (-318))) (|HasCategory| (-715) (QUOTE (-932))) (-2811 (-12 (|HasCategory| (-715) (QUOTE (-318))) (|HasCategory| (-715) (QUOTE (-932)))) (|HasCategory| (-715) (QUOTE (-375)))) (-2811 (-12 (|HasCategory| (-715) (QUOTE (-239))) (|HasCategory| (-715) (QUOTE (-375)))) (|HasCategory| (-715) (QUOTE (-238)))) (-2811 (-12 (|HasCategory| (-715) (QUOTE (-318))) (|HasCategory| (-715) (QUOTE (-932)))) (|HasCategory| (-715) (QUOTE (-569)))) (-12 (|HasCategory| (-715) (QUOTE (-238))) (|HasCategory| (-715) (QUOTE (-375)))) (-12 (|HasCategory| (-715) (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| (-715) (QUOTE (-375)))) (-12 (|HasCategory| (-715) (QUOTE (-239))) (|HasCategory| (-715) (QUOTE (-375)))) (-12 (|HasCategory| (-715) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-715) (QUOTE (-375)))) (|HasCategory| (-715) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| (-715) (QUOTE (-569))) (|HasAttribute| (-715) (QUOTE -4469)) (|HasAttribute| (-715) (QUOTE -4466)) (-12 (|HasCategory| (-715) (QUOTE (-318))) (|HasCategory| (-715) (QUOTE (-932)))) (|HasCategory| (-715) (LIST (QUOTE -923) (QUOTE (-1201)))) (-2811 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-715) (QUOTE (-318))) (|HasCategory| (-715) (QUOTE (-932)))) (|HasCategory| (-715) (QUOTE (-146)))) (-2811 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-715) (QUOTE (-318))) (|HasCategory| (-715) (QUOTE (-932)))) (|HasCategory| (-715) (QUOTE (-361))))) (-711 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}."))) ((-4471 . T)) @@ -2784,13 +2784,13 @@ NIL ((|constructor| (NIL "\\indented{1}{<description of package>} Author: Jim Wen Date Created: \\spad{??} Date Last Updated: October 1991 by Jon Steinbach Keywords: Examples: References:")) (|ptFunc| (((|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) "\\spad{ptFunc(a,b,c,d)} is an internal function exported in order to compile packages.")) 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(|factor| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factor(p)} produces the complete factorization of the multivariate polynomial \\spad{p} over a finite field. \\spad{p} is represented as a univariate polynomial with multivariate coefficients over a finite field.") (((|Factored| |#4|) |#4|) "\\spad{factor(p)} produces the complete factorization of the multivariate polynomial \\spad{p} over a finite field."))) NIL NIL (-715) ((|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}"))) -((-2705 . T) (-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) +((-4142 . T) (-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) NIL (-716 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."))) @@ -2816,7 +2816,7 @@ 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 -(-722 S -2651 I) +(-722 S -2136 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 @@ -2836,14 +2836,14 @@ 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 -(-727 R |Mod| -1696 -1942 |exactQuo|) +(-727 R |Mod| -3222 -3955 |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| $) "\\spad{modulus(x)} \\undocumented"))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) NIL (-728 R |Rep|) ((|constructor| (NIL "This package \\undocumented")) (|frobenius| (($ $) "\\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"))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4466 |has| |#1| (-375)) (-4468 |has| |#1| (-6 -4468)) (-4465 . T) (-4464 . T) (-4467 . T)) -((|HasCategory| |#1| (QUOTE (-932))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-391))))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-577))))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391)))))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577)))))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549))))) (|HasCategory| |#1| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (-3803 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-3803 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-3803 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-1177))) (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-361))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-239))) (|HasAttribute| |#1| (QUOTE -4468)) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (-3803 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-932))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-391))))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-577))))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391)))))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577)))))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549))))) (|HasCategory| |#1| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (-2811 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-2811 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-2811 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-1177))) (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-361))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-239))) (|HasAttribute| |#1| (QUOTE -4468)) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (-2811 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-146))))) (-729 IS E |ff|) ((|constructor| (NIL "This package \\undocumented")) (|construct| (($ |#1| |#2|) "\\spad{construct(i,e)} \\undocumented")) (|index| ((|#1| $) "\\spad{index(x)} \\undocumented")) (|exponent| ((|#2| $) "\\spad{exponent(x)} \\undocumented"))) NIL @@ -2852,7 +2852,7 @@ NIL ((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#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| (($ $ $) "\\spad{adjoint(op1, op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) ((-4465 |has| |#1| (-174)) (-4464 |has| |#1| (-174)) (-4467 . T)) ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148)))) -(-731 R |Mod| -1696 -1942 |exactQuo|) +(-731 R |Mod| -3222 -3955 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\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"))) ((-4467 . T)) NIL @@ -2864,7 +2864,7 @@ NIL ((|constructor| (NIL "The category of modules over a commutative ring. \\blankline"))) ((-4465 . T) (-4464 . T)) NIL -(-734 -2191) +(-734 -1985) ((|constructor| (NIL "\\indented{1}{MoebiusTransform(\\spad{F}) is the domain of fractional linear (Moebius)} transformations over \\spad{F}.")) (|eval| (((|OnePointCompletion| |#1|) $ (|OnePointCompletion| |#1|)) "\\spad{eval(m,x)} returns \\spad{(a*x + b)/(c*x + d)} where \\spad{m = moebius(a,b,c,d)} (see \\spadfunFrom{moebius}{MoebiusTransform}).") ((|#1| $ |#1|) "\\spad{eval(m,x)} returns \\spad{(a*x + b)/(c*x + d)} where \\spad{m = moebius(a,b,c,d)} (see \\spadfunFrom{moebius}{MoebiusTransform}).")) (|recip| (($ $) "\\spad{recip(m)} = recip() * \\spad{m}") (($) "\\spad{recip()} returns \\spad{matrix [[0,1],[1,0]]} representing the map \\spad{x -> 1 / x}.")) (|scale| (($ $ |#1|) "\\spad{scale(m,h)} returns \\spad{scale(h) * m} (see \\spadfunFrom{shift}{MoebiusTransform}).") (($ |#1|) "\\spad{scale(k)} returns \\spad{matrix [[k,0],[0,1]]} representing the map \\spad{x -> k * x}.")) (|shift| (($ $ |#1|) "\\spad{shift(m,h)} returns \\spad{shift(h) * m} (see \\spadfunFrom{shift}{MoebiusTransform}).") (($ |#1|) "\\spad{shift(k)} returns \\spad{matrix [[1,k],[0,1]]} representing the map \\spad{x -> x + k}.")) (|moebius| (($ |#1| |#1| |#1| |#1|) "\\spad{moebius(a,b,c,d)} returns \\spad{matrix [[a,b],[c,d]]}."))) ((-4467 . T)) NIL @@ -2900,7 +2900,7 @@ NIL ((|constructor| (NIL "The class of multiplicative monoids,{} \\spadignore{i.e.} semigroups with a multiplicative identity element. \\blankline")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} tries to compute the multiplicative inverse for \\spad{x} or \"failed\" if it cannot find the inverse (see unitsKnown).")) (** (($ $ (|NonNegativeInteger|)) "\\spad{x**n} returns the repeated product of \\spad{x} \\spad{n} times,{} \\spadignore{i.e.} exponentiation.")) (|one?| (((|Boolean|) $) "\\spad{one?(x)} tests if \\spad{x} is equal to 1.")) (|sample| (($) "\\spad{sample yields} a value of type \\%")) ((|One|) (($) "1 is the multiplicative identity."))) NIL NIL -(-743 -2191 UP) +(-743 -1985 UP) ((|constructor| (NIL "Tools for handling monomial extensions.")) (|decompose| (((|Record| (|:| |poly| |#2|) (|:| |normal| (|Fraction| |#2|)) (|:| |special| (|Fraction| |#2|))) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{decompose(f, D)} returns \\spad{[p,n,s]} such that \\spad{f = p+n+s},{} all the squarefree factors of \\spad{denom(n)} are normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} \\spad{denom(s)} is special \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} and \\spad{n} and \\spad{s} are proper fractions (no pole at infinity). \\spad{D} is the derivation to use.")) (|normalDenom| ((|#2| (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{normalDenom(f, D)} returns the product of all the normal factors of \\spad{denom(f)}. \\spad{D} is the derivation to use.")) (|splitSquarefree| (((|Record| (|:| |normal| (|Factored| |#2|)) (|:| |special| (|Factored| |#2|))) |#2| (|Mapping| |#2| |#2|)) "\\spad{splitSquarefree(p, D)} returns \\spad{[n_1 n_2\\^2 ... n_m\\^m, s_1 s_2\\^2 ... s_q\\^q]} such that \\spad{p = n_1 n_2\\^2 ... n_m\\^m s_1 s_2\\^2 ... s_q\\^q},{} each \\spad{n_i} is normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D} and each \\spad{s_i} is special \\spad{w}.\\spad{r}.\\spad{t} \\spad{D}. \\spad{D} is the derivation to use.")) (|split| (((|Record| (|:| |normal| |#2|) (|:| |special| |#2|)) |#2| (|Mapping| |#2| |#2|)) "\\spad{split(p, D)} returns \\spad{[n,s]} such that \\spad{p = n s},{} all the squarefree factors of \\spad{n} are normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} and \\spad{s} is special \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D}. \\spad{D} is the derivation to use."))) NIL NIL @@ -2919,7 +2919,7 @@ NIL (-747 |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."))) (((-4472 "*") |has| |#2| (-174)) (-4463 |has| |#2| (-569)) (-4468 |has| |#2| (-6 -4468)) (-4465 . T) (-4464 . T) (-4467 . T)) -((|HasCategory| |#2| (QUOTE (-932))) (-3803 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-932)))) (-3803 (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-932)))) (-3803 (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-932)))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-174))) (-3803 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-569)))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-391))))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-577))))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391)))))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577)))))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#2| (LIST (QUOTE -627) (QUOTE (-549))))) (|HasCategory| |#2| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-577)))) (-3803 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (QUOTE (-375))) (|HasAttribute| |#2| (QUOTE -4468)) (|HasCategory| |#2| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-932)))) (-3803 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-932)))) (|HasCategory| |#2| (QUOTE (-146))))) +((|HasCategory| |#2| (QUOTE (-932))) (-2811 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-932)))) (-2811 (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-932)))) (-2811 (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-932)))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-174))) (-2811 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-569)))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-391))))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-577))))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391)))))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577)))))) (-12 (|HasCategory| (-882 |#1|) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#2| (LIST (QUOTE -627) (QUOTE (-549))))) (|HasCategory| |#2| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-577)))) (-2811 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (QUOTE (-375))) (|HasAttribute| |#2| (QUOTE -4468)) (|HasCategory| |#2| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-932)))) (-2811 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-932)))) (|HasCategory| |#2| (QUOTE (-146))))) (-748 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 @@ -3052,11 +3052,11 @@ NIL ((|constructor| (NIL "This package computes explicitly eigenvalues and eigenvectors of matrices with entries over the complex rational numbers. The results are expressed either as complex floating numbers or as complex rational numbers depending on the type of the precision parameter.")) (|complexEigenvectors| (((|List| (|Record| (|:| |outval| (|Complex| |#1|)) (|:| |outmult| (|Integer|)) (|:| |outvect| (|List| (|Matrix| (|Complex| |#1|)))))) (|Matrix| (|Complex| (|Fraction| (|Integer|)))) |#1|) "\\spad{complexEigenvectors(m,eps)} returns a list of records each one containing a complex eigenvalue,{} its algebraic multiplicity,{} and a list of associated eigenvectors. All these results are computed to precision \\spad{eps} and are expressed as complex floats or complex rational numbers depending on the type of \\spad{eps} (float or rational).")) (|complexEigenvalues| (((|List| (|Complex| |#1|)) (|Matrix| (|Complex| (|Fraction| (|Integer|)))) |#1|) "\\spad{complexEigenvalues(m,eps)} computes the eigenvalues of the matrix \\spad{m} to precision \\spad{eps}. The eigenvalues are expressed as complex floats or complex rational numbers depending on the type of \\spad{eps} (float or rational).")) (|characteristicPolynomial| (((|Polynomial| (|Complex| (|Fraction| (|Integer|)))) (|Matrix| (|Complex| (|Fraction| (|Integer|)))) (|Symbol|)) "\\spad{characteristicPolynomial(m,x)} returns the characteristic polynomial of the matrix \\spad{m} expressed as polynomial over Complex Rationals with variable \\spad{x}.") (((|Polynomial| (|Complex| (|Fraction| (|Integer|)))) (|Matrix| (|Complex| (|Fraction| (|Integer|))))) "\\spad{characteristicPolynomial(m)} returns the characteristic polynomial of the matrix \\spad{m} expressed as polynomial over complex rationals with a new symbol as variable."))) NIL NIL -(-781 -2191) +(-781 -1985) ((|constructor| (NIL "\\spadtype{NumericContinuedFraction} provides functions \\indented{2}{for converting floating point numbers to continued fractions.}")) (|continuedFraction| (((|ContinuedFraction| (|Integer|)) |#1|) "\\spad{continuedFraction(f)} converts the floating point number \\spad{f} to a reduced continued fraction."))) NIL NIL -(-782 P -2191) +(-782 P -1985) ((|constructor| (NIL "This package provides a division and related operations for \\spadtype{MonogenicLinearOperator}\\spad{s} over a \\spadtype{Field}. Since the multiplication is in general non-commutative,{} these operations all have left- and right-hand versions. This package provides the operations based on left-division.")) (|leftLcm| ((|#1| |#1| |#1|) "\\spad{leftLcm(a,b)} computes the value \\spad{m} of lowest degree such that \\spad{m = a*aa = b*bb} for some values \\spad{aa} and \\spad{bb}. The value \\spad{m} is computed using left-division.")) (|leftGcd| ((|#1| |#1| |#1|) "\\spad{leftGcd(a,b)} computes the value \\spad{g} of highest degree such that \\indented{3}{\\spad{a = aa*g}} \\indented{3}{\\spad{b = bb*g}} for some values \\spad{aa} and \\spad{bb}. The value \\spad{g} is computed using left-division.")) (|leftExactQuotient| (((|Union| |#1| "failed") |#1| |#1|) "\\spad{leftExactQuotient(a,b)} computes the value \\spad{q},{} if it exists,{} \\indented{1}{such that \\spad{a = b*q}.}")) (|leftRemainder| ((|#1| |#1| |#1|) "\\spad{leftRemainder(a,b)} computes the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{r} is returned.")) (|leftQuotient| ((|#1| |#1| |#1|) "\\spad{leftQuotient(a,b)} computes the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{q} is returned.")) (|leftDivide| (((|Record| (|:| |quotient| |#1|) (|:| |remainder| |#1|)) |#1| |#1|) "\\spad{leftDivide(a,b)} returns the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``left division\\spad{''}."))) NIL NIL @@ -3064,7 +3064,7 @@ NIL NIL NIL NIL -(-784 UP -2191) +(-784 UP -1985) ((|constructor| (NIL "In this package \\spad{F} is a framed algebra over the integers (typically \\spad{F = Z[a]} for some algebraic integer a). The package provides functions to compute the integral closure of \\spad{Z} in the quotient quotient field of \\spad{F}.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| (|Integer|))) (|:| |basisDen| (|Integer|)) (|:| |basisInv| (|Matrix| (|Integer|)))) (|Integer|)) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the local integral closure of \\spad{Z} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{Z}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| (|Integer|))) (|:| |basisDen| (|Integer|)) (|:| |basisInv| (|Matrix| (|Integer|))))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the integral closure of \\spad{Z} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{Z}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|discriminant| (((|Integer|)) "\\spad{discriminant()} returns the discriminant of the integral closure of \\spad{Z} in the quotient field of the framed algebra \\spad{F}."))) NIL NIL @@ -3080,7 +3080,7 @@ NIL ((|constructor| (NIL "\\spadtype{NonNegativeInteger} provides functions for non \\indented{2}{negative integers.}")) (|commutative| ((|attribute| "*") "\\spad{commutative(\"*\")} means multiplication is commutative : \\spad{x*y = y*x}.")) (|random| (($ $) "\\spad{random(n)} returns a random integer from 0 to \\spad{n-1}.")) (|shift| (($ $ (|Integer|)) "\\spad{shift(a,i)} shift \\spad{a} by \\spad{i} bits.")) (|exquo| (((|Union| $ "failed") $ $) "\\spad{exquo(a,b)} returns the quotient of \\spad{a} and \\spad{b},{} or \"failed\" if \\spad{b} is zero or \\spad{a} rem \\spad{b} is zero.")) (|divide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{divide(a,b)} returns a record containing both remainder and quotient.")) (|gcd| (($ $ $) "\\spad{gcd(a,b)} computes the greatest common divisor of two non negative integers \\spad{a} and \\spad{b}.")) (|rem| (($ $ $) "\\spad{a rem b} returns the remainder of \\spad{a} and \\spad{b}.")) (|quo| (($ $ $) "\\spad{a quo b} returns the quotient of \\spad{a} and \\spad{b},{} forgetting the remainder."))) (((-4472 "*") . T)) NIL -(-788 R -2191) +(-788 R -1985) ((|constructor| (NIL "NonLinearFirstOrderODESolver provides a function for finding closed form first integrals of nonlinear ordinary differential equations of order 1.")) (|solve| (((|Union| |#2| "failed") |#2| |#2| (|BasicOperator|) (|Symbol|)) "\\spad{solve(M(x,y), N(x,y), y, x)} returns \\spad{F(x,y)} such that \\spad{F(x,y) = c} for a constant \\spad{c} is a first integral of the equation \\spad{M(x,y) dx + N(x,y) dy = 0},{} or \"failed\" if no first-integral can be found."))) NIL NIL @@ -3100,7 +3100,7 @@ NIL ((|constructor| (NIL "A package for computing normalized assocites of univariate polynomials with coefficients in a tower of simple extensions of a field.\\newline References : \\indented{1}{[1] \\spad{D}. LAZARD \"A new method for solving algebraic systems of} \\indented{5}{positive dimension\" Discr. App. Math. 33:147-160,{}1991} \\indented{1}{[2] \\spad{M}. MORENO MAZA and \\spad{R}. RIOBOO \"Computations of \\spad{gcd} over} \\indented{5}{algebraic towers of simple extensions\" In proceedings of AAECC11} \\indented{5}{Paris,{} 1995.} \\indented{1}{[3] \\spad{M}. MORENO MAZA \"Calculs de pgcd au-dessus des tours} \\indented{5}{d'extensions simples et resolution des systemes d'equations} \\indented{5}{algebriques\" These,{} Universite \\spad{P}.etM. Curie,{} Paris,{} 1997.}")) (|normInvertible?| (((|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| |#5|))) |#4| |#5|) "\\axiom{normInvertible?(\\spad{p},{}\\spad{ts})} is an internal subroutine,{} exported only for developement.")) (|outputArgs| (((|Void|) (|String|) (|String|) |#4| |#5|) "\\axiom{outputArgs(\\spad{s1},{}\\spad{s2},{}\\spad{p},{}\\spad{ts})} is an internal subroutine,{} exported only for developement.")) (|normalize| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) |#4| |#5|) "\\axiom{normalize(\\spad{p},{}\\spad{ts})} normalizes \\axiom{\\spad{p}} \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts}.")) (|normalizedAssociate| ((|#4| |#4| |#5|) "\\axiom{normalizedAssociate(\\spad{p},{}\\spad{ts})} returns a normalized polynomial \\axiom{\\spad{n}} \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts} such that \\axiom{\\spad{n}} and \\axiom{\\spad{p}} are associates \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts} and assuming that \\axiom{\\spad{p}} is invertible \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts}.")) (|recip| (((|Record| (|:| |num| |#4|) (|:| |den| |#4|)) |#4| |#5|) "\\axiom{recip(\\spad{p},{}\\spad{ts})} returns the inverse of \\axiom{\\spad{p}} \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts} assuming that \\axiom{\\spad{p}} is invertible \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts}."))) NIL NIL -(-793 -2191 |ExtF| |SUEx| |ExtP| |n|) +(-793 -1985 |ExtF| |SUEx| |ExtP| |n|) ((|constructor| (NIL "This package \\undocumented")) (|Frobenius| ((|#4| |#4|) "\\spad{Frobenius(x)} \\undocumented")) (|retractIfCan| (((|Union| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|)) "failed") |#4|) "\\spad{retractIfCan(x)} \\undocumented")) (|normFactors| (((|List| |#4|) |#4|) "\\spad{normFactors(x)} \\undocumented"))) NIL NIL @@ -3115,7 +3115,7 @@ NIL (-796 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."))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4468 |has| |#1| (-6 -4468)) (-4465 . T) (-4464 . T) (-4467 . 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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 @@ -3123,7 +3123,7 @@ NIL (-798 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| $) "\\axiom{fmecg(\\spad{p1},{}\\spad{e},{}\\spad{r},{}\\spad{p2})} returns \\axiom{\\spad{p1} - \\spad{r} * X**e * \\spad{p2}} where \\axiom{\\spad{X}} is \\axiom{monomial(1,{}1)}"))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4466 |has| |#1| (-375)) (-4468 |has| |#1| (-6 -4468)) (-4465 . T) (-4464 . T) (-4467 . 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(|eulerE| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{eulerE(n,r)} \\undocumented")) (|bernoulliB| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{bernoulliB(n,r)} \\undocumented")) (|cyclotomic| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{cyclotomic(n,r)} \\undocumented"))) NIL @@ -3184,23 +3184,23 @@ NIL ((|constructor| (NIL "OctonionCategory gives the categorial frame for the octonions,{} and eight-dimensional non-associative algebra,{} doubling the the quaternions in the same way as doubling the Complex numbers to get the quaternions.")) (|inv| (($ $) "\\spad{inv(o)} returns the inverse of \\spad{o} if it exists.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(o)} returns the real part if all seven imaginary parts are 0,{} and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(o)} returns the real part if all seven imaginary parts are 0. Error: if \\spad{o} is not rational.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(o)} tests if \\spad{o} is rational,{} \\spadignore{i.e.} that all seven imaginary parts are 0.")) (|abs| ((|#1| $) "\\spad{abs(o)} computes the absolute value of an octonion,{} equal to the square root of the \\spadfunFrom{norm}{Octonion}.")) (|octon| (($ |#1| |#1| |#1| |#1| |#1| |#1| |#1| |#1|) "\\spad{octon(re,ri,rj,rk,rE,rI,rJ,rK)} constructs an octonion from scalars.")) (|norm| ((|#1| $) "\\spad{norm(o)} returns the norm of an octonion,{} equal to the sum of the squares of its coefficients.")) (|imagK| ((|#1| $) "\\spad{imagK(o)} extracts the imaginary \\spad{K} part of octonion \\spad{o}.")) (|imagJ| ((|#1| $) "\\spad{imagJ(o)} extracts the imaginary \\spad{J} part of octonion \\spad{o}.")) (|imagI| ((|#1| $) "\\spad{imagI(o)} extracts the imaginary \\spad{I} part of octonion \\spad{o}.")) (|imagE| ((|#1| $) "\\spad{imagE(o)} extracts the imaginary \\spad{E} part of octonion \\spad{o}.")) (|imagk| ((|#1| $) "\\spad{imagk(o)} extracts the \\spad{k} part of octonion \\spad{o}.")) (|imagj| ((|#1| $) "\\spad{imagj(o)} extracts the \\spad{j} part of octonion \\spad{o}.")) (|imagi| ((|#1| $) "\\spad{imagi(o)} extracts the \\spad{i} part of octonion \\spad{o}.")) (|real| ((|#1| $) "\\spad{real(o)} extracts real part of octonion \\spad{o}.")) (|conjugate| (($ $) "\\spad{conjugate(o)} negates the imaginary parts \\spad{i},{}\\spad{j},{}\\spad{k},{}\\spad{E},{}\\spad{I},{}\\spad{J},{}\\spad{K} of octonian \\spad{o}."))) ((-4464 . T) (-4465 . T) (-4467 . T)) NIL -(-814 -3803 R OS S) +(-814 -2811 R OS S) ((|constructor| (NIL "OctonionCategoryFunctions2 implements functions between two octonion domains defined over different rings. The function map is used to coerce between octonion types.")) (|map| ((|#3| (|Mapping| |#4| |#2|) |#1|) "\\spad{map(f,u)} maps \\spad{f} onto the component parts of the octonion \\spad{u}."))) NIL NIL (-815 R) ((|constructor| (NIL "Octonion implements octonions (Cayley-Dixon algebra) over a commutative ring,{} an eight-dimensional non-associative algebra,{} doubling the quaternions in the same way as doubling the complex numbers to get the quaternions the main constructor function is {\\em octon} which takes 8 arguments: the real part,{} the \\spad{i} imaginary part,{} the \\spad{j} imaginary part,{} the \\spad{k} imaginary part,{} (as with quaternions) and in addition the imaginary parts \\spad{E},{} \\spad{I},{} \\spad{J},{} \\spad{K}.")) (|octon| (($ (|Quaternion| |#1|) (|Quaternion| |#1|)) "\\spad{octon(qe,qE)} constructs an octonion from two quaternions using the relation {\\em O = Q + QE}."))) ((-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (LIST (QUOTE -527) (QUOTE (-1201)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -297) (|devaluate| |#1|) (|devaluate| |#1|))) (-3803 (|HasCategory| (-1024 |#1|) (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (-3803 (|HasCategory| (-1024 |#1|) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-1085))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| (-1024 |#1|) (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-1024 |#1|) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577))))) +((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (LIST (QUOTE -527) (QUOTE (-1201)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -297) (|devaluate| |#1|) (|devaluate| |#1|))) (-2811 (|HasCategory| (-1024 |#1|) (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (-2811 (|HasCategory| (-1024 |#1|) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-1085))) (|HasCategory| |#1| (QUOTE (-558))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| (-1024 |#1|) (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-1024 |#1|) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577))))) (-816) ((|ODESolve| (((|Result|) (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{ODESolve(args)} performs the integration of the function given the strategy or method returned by \\axiomFun{measure}.")) (|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|))) (|RoutinesTable|) (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{measure(R,args)} calculates an estimate of the ability of a particular method to solve a problem. \\blankline This method may be either a specific NAG routine or a strategy (such as transforming the function from one which is difficult to one which is easier to solve). \\blankline It will call whichever agents are needed to perform analysis on the problem in order to calculate the measure. There is a parameter,{} labelled \\axiom{sofar},{} which would contain the best compatibility found so far."))) NIL NIL -(-817 R -2191 L) +(-817 R -1985 L) ((|constructor| (NIL "Solution of linear ordinary differential equations,{} constant coefficient case.")) (|constDsolve| (((|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Symbol|)) "\\spad{constDsolve(op, g, x)} returns \\spad{[f, [y1,...,ym]]} where \\spad{f} is a particular solution of the equation \\spad{op y = g},{} and the \\spad{yi}\\spad{'s} form a basis for the solutions of \\spad{op y = 0}."))) NIL NIL -(-818 R -2191) +(-818 R -1985) ((|constructor| (NIL "\\spad{ElementaryFunctionODESolver} provides the top-level functions for finding closed form solutions of ordinary differential equations and initial value problems.")) (|solve| (((|Union| |#2| "failed") |#2| (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{solve(eq, y, x = a, [y0,...,ym])} returns either the solution of the initial value problem \\spad{eq, y(a) = y0, y'(a) = y1,...} or \"failed\" if the solution cannot be found; error if the equation is not one linear ordinary or of the form \\spad{dy/dx = f(x,y)}.") (((|Union| |#2| "failed") (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{solve(eq, y, x = a, [y0,...,ym])} returns either the solution of the initial value problem \\spad{eq, y(a) = y0, y'(a) = y1,...} or \"failed\" if the solution cannot be found; error if the equation is not one linear ordinary or of the form \\spad{dy/dx = f(x,y)}.") (((|Union| (|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) |#2| "failed") |#2| (|BasicOperator|) (|Symbol|)) "\\spad{solve(eq, y, x)} returns either a solution of the ordinary differential equation \\spad{eq} or \"failed\" if no non-trivial solution can be found; If the equation is linear ordinary,{} a solution is of the form \\spad{[h, [b1,...,bm]]} where \\spad{h} is a particular solution and and \\spad{[b1,...bm]} are linearly independent solutions of the associated homogenuous equation \\spad{f(x,y) = 0}; A full basis for the solutions of the homogenuous equation is not always returned,{} only the solutions which were found; If the equation is of the form {dy/dx = \\spad{f}(\\spad{x},{}\\spad{y})},{} a solution is of the form \\spad{h(x,y)} where \\spad{h(x,y) = c} is a first integral of the equation for any constant \\spad{c}.") (((|Union| (|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) |#2| "failed") (|Equation| |#2|) (|BasicOperator|) (|Symbol|)) "\\spad{solve(eq, y, x)} returns either a solution of the ordinary differential equation \\spad{eq} or \"failed\" if no non-trivial solution can be found; If the equation is linear ordinary,{} a solution is of the form \\spad{[h, [b1,...,bm]]} where \\spad{h} is a particular solution and \\spad{[b1,...bm]} are linearly independent solutions of the associated homogenuous equation \\spad{f(x,y) = 0}; A full basis for the solutions of the homogenuous equation is not always returned,{} only the solutions which were found; If the equation is of the form {dy/dx = \\spad{f}(\\spad{x},{}\\spad{y})},{} a solution is of the form \\spad{h(x,y)} where \\spad{h(x,y) = c} is a first integral of the equation for any constant \\spad{c}; error if the equation is not one of those 2 forms.") (((|Union| (|Record| (|:| |particular| (|Vector| |#2|)) (|:| |basis| (|List| (|Vector| |#2|)))) "failed") (|List| |#2|) (|List| (|BasicOperator|)) (|Symbol|)) "\\spad{solve([eq_1,...,eq_n], [y_1,...,y_n], x)} returns either \"failed\" or,{} if the equations form a fist order linear system,{} a solution of the form \\spad{[y_p, [b_1,...,b_n]]} where \\spad{h_p} is a particular solution and \\spad{[b_1,...b_m]} are linearly independent solutions of the associated homogenuous system. error if the equations do not form a first order linear system") (((|Union| (|Record| (|:| |particular| (|Vector| |#2|)) (|:| |basis| (|List| (|Vector| |#2|)))) "failed") (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Symbol|)) "\\spad{solve([eq_1,...,eq_n], [y_1,...,y_n], x)} returns either \"failed\" or,{} if the equations form a fist order linear system,{} a solution of the form \\spad{[y_p, [b_1,...,b_n]]} where \\spad{h_p} is a particular solution and \\spad{[b_1,...b_m]} are linearly independent solutions of the associated homogenuous system. error if the equations do not form a first order linear system") (((|Union| (|List| (|Vector| |#2|)) "failed") (|Matrix| |#2|) (|Symbol|)) "\\spad{solve(m, x)} returns a basis for the solutions of \\spad{D y = m y}. \\spad{x} is the dependent variable.") (((|Union| (|Record| (|:| |particular| (|Vector| |#2|)) (|:| |basis| (|List| (|Vector| |#2|)))) "failed") (|Matrix| |#2|) (|Vector| |#2|) (|Symbol|)) "\\spad{solve(m, v, x)} returns \\spad{[v_p, [v_1,...,v_m]]} such that the solutions of the system \\spad{D y = m y + v} are \\spad{v_p + c_1 v_1 + ... + c_m v_m} where the \\spad{c_i's} are constants,{} and the \\spad{v_i's} form a basis for the solutions of \\spad{D y = m y}. \\spad{x} is the dependent variable."))) NIL NIL @@ -3208,7 +3208,7 @@ NIL ((|constructor| (NIL "\\axiom{ODEIntensityFunctionsTable()} provides a dynamic table and a set of functions to store details found out about sets of ODE\\spad{'s}.")) (|showIntensityFunctions| (((|Union| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|))) "failed") (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{showIntensityFunctions(k)} returns the entries in the table of intensity functions \\spad{k}.")) (|insert!| (($ (|Record| (|:| |key| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|)))))) "\\spad{insert!(r)} inserts an entry \\spad{r} into theIFTable")) (|iFTable| (($ (|List| (|Record| (|:| |key| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|))))))) "\\spad{iFTable(l)} creates an intensity-functions table from the elements of \\spad{l}.")) (|keys| (((|List| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) $) "\\spad{keys(tab)} returns the list of keys of \\spad{f}")) (|clearTheIFTable| (((|Void|)) "\\spad{clearTheIFTable()} clears the current table of intensity functions.")) (|showTheIFTable| (($) "\\spad{showTheIFTable()} returns the current table of intensity functions."))) NIL NIL -(-820 R -2191) +(-820 R -1985) ((|constructor| (NIL "\\spadtype{ODEIntegration} provides an interface to the integrator. This package is intended for use by the differential equations solver but not at top-level.")) (|diff| (((|Mapping| |#2| |#2|) (|Symbol|)) "\\spad{diff(x)} returns the derivation with respect to \\spad{x}.")) (|expint| ((|#2| |#2| (|Symbol|)) "\\spad{expint(f, x)} returns e^{the integral of \\spad{f} with respect to \\spad{x}}.")) (|int| ((|#2| |#2| (|Symbol|)) "\\spad{int(f, x)} returns the integral of \\spad{f} with respect to \\spad{x}."))) NIL NIL @@ -3216,11 +3216,11 @@ NIL ((|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|)))) (|NumericalODEProblem|) (|RoutinesTable|)) "\\spad{measure(prob,R)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical ODE problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} listed in \\axiom{\\spad{R}} of \\axiom{category} \\axiomType{OrdinaryDifferentialEquationsSolverCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information. It predicts the likely most effective NAG numerical Library routine to solve the input set of ODEs by checking various attributes of the system of ODEs and calculating a measure of compatibility of each routine to these attributes.") (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|)))) (|NumericalODEProblem|)) "\\spad{measure(prob)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical ODE problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} of \\axiom{category} \\axiomType{OrdinaryDifferentialEquationsSolverCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information. It predicts the likely most effective NAG numerical Library routine to solve the input set of ODEs by checking various attributes of the system of ODEs and calculating a measure of compatibility of each routine to these attributes.")) (|solve| (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Expression| (|Float|)) (|List| (|Float|)) (|Float|) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,G,intVals,epsabs,epsrel)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to an absolute error requirement \\axiom{\\spad{epsabs}} and relative error \\axiom{\\spad{epsrel}}. The values of \\spad{Y}[1]..\\spad{Y}[\\spad{n}] will be output for the values of \\spad{X} in \\axiom{\\spad{intVals}}. The calculation will stop if the function \\spad{G}(\\spad{X},{}\\spad{Y}[1],{}..,{}\\spad{Y}[\\spad{n}]) evaluates to zero before \\spad{X} = \\spad{xEnd}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Expression| (|Float|)) (|List| (|Float|)) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,G,intVals,tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. The values of \\spad{Y}[1]..\\spad{Y}[\\spad{n}] will be output for the values of \\spad{X} in \\axiom{\\spad{intVals}}. The calculation will stop if the function \\spad{G}(\\spad{X},{}\\spad{Y}[1],{}..,{}\\spad{Y}[\\spad{n}]) evaluates to zero before \\spad{X} = \\spad{xEnd}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|List| (|Float|)) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,intVals,tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. The values of \\spad{Y}[1]..\\spad{Y}[\\spad{n}] will be output for the values of \\spad{X} in \\axiom{\\spad{intVals}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Expression| (|Float|)) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,G,tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. The calculation will stop if the function \\spad{G}(\\spad{X},{}\\spad{Y}[1],{}..,{}\\spad{Y}[\\spad{n}]) evaluates to zero before \\spad{X} = \\spad{xEnd}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|))) "\\spad{solve(f,xStart,xEnd,yInitial)} is a top level ANNA function to solve numerically a system of ordinary differential equations \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}],{} together with a starting value for \\spad{X} and \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (called the initial conditions) and a final value of \\spad{X}. A default value is used for the accuracy requirement. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|NumericalODEProblem|) (|RoutinesTable|)) "\\spad{solve(odeProblem,R)} is a top level ANNA function to solve numerically a system of ordinary differential equations \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}],{} together with starting values for \\spad{X} and \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (called the initial conditions),{} a final value of \\spad{X},{} an accuracy requirement and any intermediate points at which the result is required. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|NumericalODEProblem|)) "\\spad{solve(odeProblem)} is a top level ANNA function to solve numerically a system of ordinary differential equations \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}],{} together with starting values for \\spad{X} and \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (called the initial conditions),{} a final value of \\spad{X},{} an accuracy requirement and any intermediate points at which the result is required. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine."))) NIL NIL -(-822 -2191 UP UPUP R) +(-822 -1985 UP UPUP R) ((|constructor| (NIL "In-field solution of an linear ordinary differential equation,{} pure algebraic case.")) (|algDsolve| (((|Record| (|:| |particular| (|Union| |#4| "failed")) (|:| |basis| (|List| |#4|))) (|LinearOrdinaryDifferentialOperator1| |#4|) |#4|) "\\spad{algDsolve(op, g)} returns \\spad{[\"failed\", []]} if the equation \\spad{op y = g} has no solution in \\spad{R}. Otherwise,{} it returns \\spad{[f, [y1,...,ym]]} where \\spad{f} is a particular rational solution and the \\spad{y_i's} form a basis for the solutions in \\spad{R} of the homogeneous equation."))) NIL NIL -(-823 -2191 UP L LQ) +(-823 -1985 UP L LQ) ((|constructor| (NIL "\\spad{PrimitiveRatDE} provides functions for in-field solutions of linear \\indented{1}{ordinary differential equations,{} in the transcendental case.} \\indented{1}{The derivation to use is given by the parameter \\spad{L}.}")) (|splitDenominator| (((|Record| (|:| |eq| |#3|) (|:| |rh| (|List| (|Fraction| |#2|)))) |#4| (|List| (|Fraction| |#2|))) "\\spad{splitDenominator(op, [g1,...,gm])} returns \\spad{op0, [h1,...,hm]} such that the equations \\spad{op y = c1 g1 + ... + cm gm} and \\spad{op0 y = c1 h1 + ... + cm hm} have the same solutions.")) (|indicialEquation| ((|#2| |#4| |#1|) "\\spad{indicialEquation(op, a)} returns the indicial equation of \\spad{op} at \\spad{a}.") ((|#2| |#3| |#1|) "\\spad{indicialEquation(op, a)} returns the indicial equation of \\spad{op} at \\spad{a}.")) (|indicialEquations| (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#4| |#2|) "\\spad{indicialEquations(op, p)} returns \\spad{[[d1,e1],...,[dq,eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op} above the roots of \\spad{p},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.") (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#4|) "\\spad{indicialEquations op} returns \\spad{[[d1,e1],...,[dq,eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.") (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#3| |#2|) "\\spad{indicialEquations(op, p)} returns \\spad{[[d1,e1],...,[dq,eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op} above the roots of \\spad{p},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.") (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#3|) "\\spad{indicialEquations op} returns \\spad{[[d1,e1],...,[dq,eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.")) (|denomLODE| ((|#2| |#3| (|List| (|Fraction| |#2|))) "\\spad{denomLODE(op, [g1,...,gm])} returns a polynomial \\spad{d} such that any rational solution of \\spad{op y = c1 g1 + ... + cm gm} is of the form \\spad{p/d} for some polynomial \\spad{p}.") (((|Union| |#2| "failed") |#3| (|Fraction| |#2|)) "\\spad{denomLODE(op, g)} returns a polynomial \\spad{d} such that any rational solution of \\spad{op y = g} is of the form \\spad{p/d} for some polynomial \\spad{p},{} and \"failed\",{} if the equation has no rational solution."))) NIL NIL @@ -3228,38 +3228,38 @@ NIL ((|retract| (((|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|))) $) "\\spad{retract(x)} \\undocumented{}")) (|coerce| (($ (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{coerce(x)} \\undocumented{}"))) NIL NIL -(-825 -2191 UP L LQ) +(-825 -1985 UP L LQ) ((|constructor| (NIL "In-field solution of Riccati equations,{} primitive case.")) (|changeVar| ((|#3| |#3| (|Fraction| |#2|)) "\\spad{changeVar(+/[ai D^i], a)} returns the operator \\spad{+/[ai (D+a)^i]}.") ((|#3| |#3| |#2|) "\\spad{changeVar(+/[ai D^i], a)} returns the operator \\spad{+/[ai (D+a)^i]}.")) (|singRicDE| (((|List| (|Record| (|:| |frac| (|Fraction| |#2|)) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{singRicDE(op, zeros, ezfactor)} returns \\spad{[[f1, L1], [f2, L2], ... , [fk, Lk]]} such that the singular part of any rational solution of the associated Riccati equation of \\spad{op y=0} must be one of the \\spad{fi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z=y e^{-int p}} is \\spad{Li z=0}. \\spad{zeros(C(x),H(x,y))} returns all the \\spad{P_i(x)}\\spad{'s} such that \\spad{H(x,P_i(x)) = 0 modulo C(x)}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.")) (|polyRicDE| (((|List| (|Record| (|:| |poly| |#2|) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#1|) |#2|)) "\\spad{polyRicDE(op, zeros)} returns \\spad{[[p1, L1], [p2, L2], ... , [pk, Lk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y=0} must be one of the \\spad{pi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z=y e^{-int p}} is \\spad{Li z =0}. \\spad{zeros} is a zero finder in \\spad{UP}.")) (|constantCoefficientRicDE| (((|List| (|Record| (|:| |constant| |#1|) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#1|) |#2|)) "\\spad{constantCoefficientRicDE(op, ric)} returns \\spad{[[a1, L1], [a2, L2], ... , [ak, Lk]]} such that any rational solution with no polynomial part of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{ai}\\spad{'s} in which case the equation for \\spad{z = y e^{-int ai}} is \\spad{Li z = 0}. \\spad{ric} is a Riccati equation solver over \\spad{F},{} whose input is the associated linear equation.")) (|leadingCoefficientRicDE| (((|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |eq| |#2|))) |#3|) "\\spad{leadingCoefficientRicDE(op)} returns \\spad{[[m1, p1], [m2, p2], ... , [mk, pk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must have degree \\spad{mj} for some \\spad{j},{} and its leading coefficient is then a zero of \\spad{pj}. In addition,{}\\spad{m1>m2> ... >mk}.")) (|denomRicDE| ((|#2| |#3|) "\\spad{denomRicDE(op)} returns a polynomial \\spad{d} such that any rational solution of the associated Riccati equation of \\spad{op y = 0} is of the form \\spad{p/d + q'/q + r} for some polynomials \\spad{p} and \\spad{q} and a reduced \\spad{r}. Also,{} \\spad{deg(p) < deg(d)} and {\\spad{gcd}(\\spad{d},{}\\spad{q}) = 1}."))) NIL NIL -(-826 -2191 UP) +(-826 -1985 UP) ((|constructor| (NIL "\\spad{RationalLODE} provides functions for in-field solutions of linear \\indented{1}{ordinary differential equations,{} in the rational case.}")) (|indicialEquationAtInfinity| ((|#2| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))) "\\spad{indicialEquationAtInfinity op} returns the indicial equation of \\spad{op} at infinity.") ((|#2| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{indicialEquationAtInfinity op} returns the indicial equation of \\spad{op} at infinity.")) (|ratDsolve| (((|Record| (|:| |basis| (|List| (|Fraction| |#2|))) (|:| |mat| (|Matrix| |#1|))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|List| (|Fraction| |#2|))) "\\spad{ratDsolve(op, [g1,...,gm])} returns \\spad{[[h1,...,hq], M]} such that any rational solution of \\spad{op y = c1 g1 + ... + cm gm} is of the form \\spad{d1 h1 + ... + dq hq} where \\spad{M [d1,...,dq,c1,...,cm] = 0}.") (((|Record| (|:| |particular| (|Union| (|Fraction| |#2|) "failed")) (|:| |basis| (|List| (|Fraction| |#2|)))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Fraction| |#2|)) "\\spad{ratDsolve(op, g)} returns \\spad{[\"failed\", []]} if the equation \\spad{op y = g} has no rational solution. Otherwise,{} it returns \\spad{[f, [y1,...,ym]]} where \\spad{f} is a particular rational solution and the \\spad{yi}\\spad{'s} form a basis for the rational solutions of the homogeneous equation.") (((|Record| (|:| |basis| (|List| (|Fraction| |#2|))) (|:| |mat| (|Matrix| |#1|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|List| (|Fraction| |#2|))) "\\spad{ratDsolve(op, [g1,...,gm])} returns \\spad{[[h1,...,hq], M]} such that any rational solution of \\spad{op y = c1 g1 + ... + cm gm} is of the form \\spad{d1 h1 + ... + dq hq} where \\spad{M [d1,...,dq,c1,...,cm] = 0}.") (((|Record| (|:| |particular| (|Union| (|Fraction| |#2|) "failed")) (|:| |basis| (|List| (|Fraction| |#2|)))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Fraction| |#2|)) "\\spad{ratDsolve(op, g)} returns \\spad{[\"failed\", []]} if the equation \\spad{op y = g} has no rational solution. Otherwise,{} it returns \\spad{[f, [y1,...,ym]]} where \\spad{f} is a particular rational solution and the \\spad{yi}\\spad{'s} form a basis for the rational solutions of the homogeneous equation."))) NIL NIL -(-827 -2191 L UP A LO) +(-827 -1985 L UP A LO) ((|constructor| (NIL "Elimination of an algebraic from the coefficentss of a linear ordinary differential equation.")) (|reduceLODE| (((|Record| (|:| |mat| (|Matrix| |#2|)) (|:| |vec| (|Vector| |#1|))) |#5| |#4|) "\\spad{reduceLODE(op, g)} returns \\spad{[m, v]} such that any solution in \\spad{A} of \\spad{op z = g} is of the form \\spad{z = (z_1,...,z_m) . (b_1,...,b_m)} where the \\spad{b_i's} are the basis of \\spad{A} over \\spad{F} returned by \\spadfun{basis}() from \\spad{A},{} and the \\spad{z_i's} satisfy the differential system \\spad{M.z = v}."))) NIL NIL -(-828 -2191 UP) +(-828 -1985 UP) ((|constructor| (NIL "In-field solution of Riccati equations,{} rational case.")) (|polyRicDE| (((|List| (|Record| (|:| |poly| |#2|) (|:| |eq| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{polyRicDE(op, zeros)} returns \\spad{[[p1, L1], [p2, L2], ... , [pk,Lk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{pi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z = y e^{-int p}} is \\spad{Li z = 0}. \\spad{zeros} is a zero finder in \\spad{UP}.")) (|singRicDE| (((|List| (|Record| (|:| |frac| (|Fraction| |#2|)) (|:| |eq| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{singRicDE(op, ezfactor)} returns \\spad{[[f1,L1], [f2,L2],..., [fk,Lk]]} such that the singular \\spad{++} part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{fi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z = y e^{-int ai}} is \\spad{Li z = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.")) (|ricDsolve| (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))) "\\spad{ricDsolve(op)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{ricDsolve(op)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, zeros, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{ricDsolve(op, zeros)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, zeros, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{ricDsolve(op, zeros)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}."))) NIL ((|HasCategory| |#1| (QUOTE (-27)))) -(-829 -2191 LO) +(-829 -1985 LO) ((|constructor| (NIL "SystemODESolver provides tools for triangulating and solving some systems of linear ordinary differential equations.")) (|solveInField| (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|Matrix| |#2|) (|Vector| |#1|) (|Mapping| (|Record| (|:| |particular| (|Union| |#1| "failed")) (|:| |basis| (|List| |#1|))) |#2| |#1|)) "\\spad{solveInField(m, v, solve)} returns \\spad{[[v_1,...,v_m], v_p]} such that the solutions in \\spad{F} of the system \\spad{m x = v} are \\spad{v_p + c_1 v_1 + ... + c_m v_m} where the \\spad{c_i's} are constants,{} and the \\spad{v_i's} form a basis for the solutions of \\spad{m x = 0}. Argument \\spad{solve} is a function for solving a single linear ordinary differential equation in \\spad{F}.")) (|solve| (((|Union| (|Record| (|:| |particular| (|Vector| |#1|)) (|:| |basis| (|Matrix| |#1|))) "failed") (|Matrix| |#1|) (|Vector| |#1|) (|Mapping| (|Union| (|Record| (|:| |particular| |#1|) (|:| |basis| (|List| |#1|))) "failed") |#2| |#1|)) "\\spad{solve(m, v, solve)} returns \\spad{[[v_1,...,v_m], v_p]} such that the solutions in \\spad{F} of the system \\spad{D x = m x + v} are \\spad{v_p + c_1 v_1 + ... + c_m v_m} where the \\spad{c_i's} are constants,{} and the \\spad{v_i's} form a basis for the solutions of \\spad{D x = m x}. Argument \\spad{solve} is a function for solving a single linear ordinary differential equation in \\spad{F}.")) (|triangulate| (((|Record| (|:| |mat| (|Matrix| |#2|)) (|:| |vec| (|Vector| |#1|))) (|Matrix| |#2|) (|Vector| |#1|)) "\\spad{triangulate(m, v)} returns \\spad{[m_0, v_0]} such that \\spad{m_0} is upper triangular and the system \\spad{m_0 x = v_0} is equivalent to \\spad{m x = v}.") 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The value \"failed\" is returned if no particular solution is found. Note: the method of variations of parameters is used.")) (|variationOfParameters| (((|Union| (|Vector| |#1|) "failed") |#2| |#1| (|List| |#1|)) "\\spad{variationOfParameters(op, g, [f1,...,fm])} returns \\spad{[u1,...,um]} such that a particular solution of the equation \\spad{op y = g} is \\spad{f1 int(u1) + ... + fm int(um)} where \\spad{[f1,...,fm]} are linearly independent and \\spad{op(fi)=0}. The value \"failed\" is returned if \\spad{m < n} and no particular solution is found.")) (|wronskianMatrix| (((|Matrix| |#1|) (|List| |#1|) (|NonNegativeInteger|)) "\\spad{wronskianMatrix([f1,...,fn], q, D)} returns the \\spad{q x n} matrix \\spad{m} whose i^th row is \\spad{[f1^(i-1),...,fn^(i-1)]}.") (((|Matrix| |#1|) (|List| |#1|)) "\\spad{wronskianMatrix([f1,...,fn])} returns the \\spad{n x n} matrix \\spad{m} whose i^th row is \\spad{[f1^(i-1),...,fn^(i-1)]}."))) 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The ranking on the differential indeterminate is orderly. This is analogous to the domain \\spadtype{Polynomial}. \\blankline"))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4468 |has| |#1| (-6 -4468)) (-4465 . T) (-4464 . T) (-4467 . T)) -((|HasCategory| |#1| (QUOTE (-932))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-3803 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-3803 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasCategory| (-834 (-1201)) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-391))))) (-12 (|HasCategory| (-834 (-1201)) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-577))))) (-12 (|HasCategory| (-834 (-1201)) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391)))))) (-12 (|HasCategory| (-834 (-1201)) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577)))))) (-12 (|HasCategory| (-834 (-1201)) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549))))) (|HasCategory| |#1| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (-3803 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasAttribute| |#1| (QUOTE -4468)) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (-3803 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-932))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-2811 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-2811 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasCategory| (-834 (-1201)) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-391))))) (-12 (|HasCategory| (-834 (-1201)) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-577))))) (-12 (|HasCategory| (-834 (-1201)) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391)))))) (-12 (|HasCategory| (-834 (-1201)) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577)))))) (-12 (|HasCategory| (-834 (-1201)) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549))))) (|HasCategory| |#1| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (-2811 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasAttribute| |#1| (QUOTE -4468)) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (-2811 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-146))))) (-833 |Kernels| R |var|) ((|constructor| (NIL "This constructor produces an ordinary differential ring from a partial differential ring by specifying a variable."))) (((-4472 "*") |has| |#2| (-375)) (-4463 |has| |#2| (-375)) (-4468 |has| |#2| (-375)) (-4462 |has| |#2| (-375)) (-4467 . T) (-4465 . T) (-4464 . T)) @@ -3327,7 +3327,7 @@ NIL (-849 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."))) ((-4467 |has| |#1| (-864))) -((|HasCategory| |#1| (QUOTE (-864))) (|HasCategory| |#1| (QUOTE (-21))) (-3803 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-864)))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (-3803 (|HasCategory| |#1| (QUOTE (-864))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-558)))) +((|HasCategory| |#1| (QUOTE (-864))) (|HasCategory| |#1| (QUOTE (-21))) (-2811 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-864)))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (-2811 (|HasCategory| |#1| (QUOTE (-864))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-558)))) (-850 A S) ((|constructor| (NIL "This category specifies the interface for operators used to build terms,{} in the sense of Universal Algebra. The domain parameter \\spad{S} provides representation for the `external name' of an operator.")) (|is?| (((|Boolean|) $ |#2|) "\\spad{is?(op,n)} holds if the name of the operator \\spad{op} is \\spad{n}.")) (|arity| (((|Arity|) $) "\\spad{arity(op)} returns the arity of the operator \\spad{op}.")) (|name| ((|#2| $) "\\spad{name(op)} returns the externam name of \\spad{op}."))) NIL @@ -3367,12 +3367,12 @@ NIL (-859 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| (($) "\\spad{plusInfinity()} returns +infinity."))) ((-4467 |has| |#1| (-864))) -((|HasCategory| |#1| (QUOTE (-864))) (|HasCategory| |#1| (QUOTE (-21))) (-3803 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-864)))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (-3803 (|HasCategory| |#1| (QUOTE (-864))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-558)))) +((|HasCategory| |#1| (QUOTE (-864))) (|HasCategory| |#1| (QUOTE (-21))) (-2811 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-864)))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (-2811 (|HasCategory| |#1| (QUOTE (-864))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-558)))) (-860) ((|constructor| (NIL "Ordered finite sets.")) (|max| (($) "\\spad{max} is the maximum value of \\%.")) (|min| (($) "\\spad{min} is the minimum value of \\%."))) NIL NIL -(-861 -2593 S) +(-861 -3985 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 @@ -3416,11 +3416,11 @@ 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 (-375))) (|HasCategory| |#1| (QUOTE (-569)))) -(-872 R |sigma| -4413) +(-872 R |sigma| -2630) ((|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."))) ((-4464 . T) (-4465 . T) (-4467 . T)) ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-375)))) -(-873 |x| R |sigma| -4413) +(-873 |x| R |sigma| -2630) ((|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}."))) ((-4464 . T) (-4465 . T) (-4467 . T)) ((|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-375)))) @@ -3487,15 +3487,15 @@ NIL (-889 |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)."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| (-888 |#1|) (QUOTE (-932))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -1063) (QUOTE (-1201)))) (|HasCategory| (-888 |#1|) (QUOTE (-146))) (|HasCategory| (-888 |#1|) (QUOTE (-148))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| (-888 |#1|) (QUOTE (-1047))) (|HasCategory| (-888 |#1|) (QUOTE (-836))) (|HasCategory| (-888 |#1|) (QUOTE (-865))) (-3803 (|HasCategory| (-888 |#1|) (QUOTE (-836))) (|HasCategory| (-888 |#1|) (QUOTE (-865)))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| (-888 |#1|) (QUOTE (-1177))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| (-888 |#1|) (QUOTE (-238))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| (-888 |#1|) (QUOTE (-239))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -527) (QUOTE (-1201)) (LIST (QUOTE -888) (|devaluate| |#1|)))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -320) (LIST (QUOTE -888) (|devaluate| |#1|)))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -297) (LIST (QUOTE -888) (|devaluate| |#1|)) (LIST (QUOTE -888) (|devaluate| |#1|)))) (|HasCategory| (-888 |#1|) (QUOTE (-318))) (|HasCategory| (-888 |#1|) (QUOTE (-558))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-888 |#1|) (QUOTE (-932)))) (-3803 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-888 |#1|) (QUOTE (-932)))) (|HasCategory| (-888 |#1|) (QUOTE (-146))))) +((|HasCategory| (-888 |#1|) (QUOTE (-932))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -1063) (QUOTE (-1201)))) (|HasCategory| (-888 |#1|) (QUOTE (-146))) (|HasCategory| (-888 |#1|) (QUOTE (-148))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| (-888 |#1|) (QUOTE (-1047))) (|HasCategory| (-888 |#1|) (QUOTE (-836))) (|HasCategory| (-888 |#1|) (QUOTE (-865))) (-2811 (|HasCategory| (-888 |#1|) (QUOTE (-836))) (|HasCategory| (-888 |#1|) (QUOTE (-865)))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| (-888 |#1|) (QUOTE (-1177))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| (-888 |#1|) (QUOTE (-238))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| (-888 |#1|) (QUOTE (-239))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -527) (QUOTE (-1201)) (LIST (QUOTE -888) (|devaluate| |#1|)))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -320) (LIST (QUOTE -888) (|devaluate| |#1|)))) (|HasCategory| (-888 |#1|) (LIST (QUOTE -297) (LIST (QUOTE -888) (|devaluate| |#1|)) (LIST (QUOTE -888) (|devaluate| |#1|)))) (|HasCategory| (-888 |#1|) (QUOTE (-318))) (|HasCategory| (-888 |#1|) (QUOTE (-558))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-888 |#1|) (QUOTE (-932)))) (-2811 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-888 |#1|) (QUOTE (-932)))) (|HasCategory| (-888 |#1|) (QUOTE (-146))))) (-890 |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)}."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| |#2| (QUOTE (-932))) (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-1201)))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#2| (QUOTE (-1047))) (|HasCategory| |#2| (QUOTE (-836))) (|HasCategory| |#2| (QUOTE (-865))) (-3803 (|HasCategory| |#2| (QUOTE (-836))) (|HasCategory| |#2| (QUOTE (-865)))) (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-1177))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#2| (LIST (QUOTE -527) (QUOTE (-1201)) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -297) (|devaluate| |#2|) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-318))) (|HasCategory| |#2| (QUOTE (-558))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-932)))) (-3803 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-932)))) (|HasCategory| |#2| (QUOTE (-146))))) +((|HasCategory| |#2| (QUOTE (-932))) (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-1201)))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#2| (QUOTE (-1047))) (|HasCategory| |#2| (QUOTE (-836))) (|HasCategory| |#2| (QUOTE (-865))) (-2811 (|HasCategory| |#2| (QUOTE (-836))) (|HasCategory| |#2| (QUOTE (-865)))) (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-1177))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#2| (LIST (QUOTE -527) (QUOTE (-1201)) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -297) (|devaluate| |#2|) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-318))) (|HasCategory| |#2| (QUOTE (-558))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-932)))) (-2811 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-932)))) (|HasCategory| |#2| (QUOTE (-146))))) (-891 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 (-1125))) (|HasCategory| |#2| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-1125)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880)))))) +((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-1125)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880)))))) (-892) ((|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 @@ -3555,7 +3555,7 @@ NIL (-906 |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 (-2376 (|HasCategory| |#2| (QUOTE (-1074)))) (-2376 (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-1201)))))) (-12 (|HasCategory| |#2| (QUOTE (-1074))) (-2376 (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-1201)))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-1201))))) +((-12 (-2686 (|HasCategory| |#2| (QUOTE (-1074)))) (-2686 (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-1201)))))) (-12 (|HasCategory| |#2| (QUOTE (-1074))) (-2686 (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-1201)))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-1201))))) (-907 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 @@ -3564,7 +3564,7 @@ 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 -(-909 R -2651) +(-909 R -2136) ((|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 @@ -3596,7 +3596,7 @@ NIL ((|PDESolve| (((|Result|) (|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|)))) "\\spad{PDESolve(args)} performs the integration of the function given the strategy or method returned by \\axiomFun{measure}.")) (|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|))) (|RoutinesTable|) (|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|)))) "\\spad{measure(R,args)} calculates an estimate of the ability of a particular method to solve a problem. \\blankline This method may be either a specific NAG routine or a strategy (such as transforming the function from one which is difficult to one which is easier to solve). \\blankline It will call whichever agents are needed to perform analysis on the problem in order to calculate the measure. There is a parameter,{} labelled \\axiom{sofar},{} which would contain the best compatibility found so far."))) NIL NIL -(-917 UP -2191) +(-917 UP -1985) ((|constructor| (NIL "This package \\undocumented")) (|rightFactorCandidate| ((|#1| |#1| (|NonNegativeInteger|)) "\\spad{rightFactorCandidate(p,n)} \\undocumented")) (|leftFactor| (((|Union| |#1| "failed") |#1| |#1|) "\\spad{leftFactor(p,q)} \\undocumented")) (|decompose| (((|Union| (|Record| (|:| |left| |#1|) (|:| |right| |#1|)) "failed") |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{decompose(up,m,n)} \\undocumented") (((|List| |#1|) |#1|) "\\spad{decompose(up)} \\undocumented"))) NIL NIL @@ -3627,7 +3627,7 @@ NIL (-924 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 (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) (-925 |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 @@ -3643,7 +3643,7 @@ NIL (-928 S) ((|constructor| (NIL "Permutation(\\spad{S}) implements the group of all bijections \\indented{2}{on a set \\spad{S},{} which move only a finite number of points.} \\indented{2}{A permutation is considered as a map from \\spad{S} into \\spad{S}. In particular} \\indented{2}{multiplication is defined as composition of maps:} \\indented{2}{{\\em pi1 * pi2 = pi1 o pi2}.} \\indented{2}{The internal representation of permuatations are two lists} \\indented{2}{of equal length representing preimages and images.}")) (|coerceImages| (($ (|List| |#1|)) "\\spad{coerceImages(ls)} coerces the list {\\em ls} to a permutation whose image is given by {\\em ls} and the preimage is fixed to be {\\em [1,...,n]}. Note: {coerceImages(\\spad{ls})=coercePreimagesImages([1,{}...,{}\\spad{n}],{}\\spad{ls})}. We assume that both preimage and image do not contain repetitions.")) (|fixedPoints| (((|Set| |#1|) $) "\\spad{fixedPoints(p)} returns the points fixed by the permutation \\spad{p}.")) (|sort| (((|List| $) (|List| $)) "\\spad{sort(lp)} sorts a list of permutations {\\em lp} according to cycle structure first according to length of cycles,{} second,{} if \\spad{S} has \\spadtype{Finite} or \\spad{S} has \\spadtype{OrderedSet} according to lexicographical order of entries in cycles of equal length.")) (|odd?| (((|Boolean|) $) "\\spad{odd?(p)} returns \\spad{true} if and only if \\spad{p} is an odd permutation \\spadignore{i.e.} {\\em sign(p)} is {\\em -1}.")) (|even?| (((|Boolean|) $) "\\spad{even?(p)} returns \\spad{true} if and only if \\spad{p} is an even permutation,{} \\spadignore{i.e.} {\\em sign(p)} is 1.")) (|sign| (((|Integer|) $) "\\spad{sign(p)} returns the signum of the permutation \\spad{p},{} \\spad{+1} or \\spad{-1}.")) (|numberOfCycles| (((|NonNegativeInteger|) $) "\\spad{numberOfCycles(p)} returns the number of non-trivial cycles of the permutation \\spad{p}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(p)} returns the order of a permutation \\spad{p} as a group element.")) (|cyclePartition| (((|Partition|) $) "\\spad{cyclePartition(p)} returns the cycle structure of a permutation \\spad{p} including cycles of length 1 only if \\spad{S} is finite.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(p)} retuns the number of points moved by the permutation \\spad{p}.")) (|coerceListOfPairs| (($ (|List| (|List| |#1|))) "\\spad{coerceListOfPairs(lls)} coerces a list of pairs {\\em lls} to a permutation. Error: if not consistent,{} \\spadignore{i.e.} the set of the first elements coincides with the set of second elements. coerce(\\spad{p}) generates output of the permutation \\spad{p} with domain OutputForm.")) (|coerce| (($ (|List| |#1|)) "\\spad{coerce(ls)} coerces a cycle {\\em ls},{} \\spadignore{i.e.} a list with not repetitions to a permutation,{} which maps {\\em ls.i} to {\\em ls.i+1},{} indices modulo the length of the list. Error: if repetitions occur.") (($ (|List| (|List| |#1|))) "\\spad{coerce(lls)} coerces a list of cycles {\\em lls} to a permutation,{} each cycle being a list with no repetitions,{} is coerced to the permutation,{} which maps {\\em ls.i} to {\\em ls.i+1},{} indices modulo the length of the list,{} then these permutations are mutiplied. Error: if repetitions occur in one cycle.")) (|coercePreimagesImages| (($ (|List| (|List| |#1|))) "\\spad{coercePreimagesImages(lls)} coerces the representation {\\em lls} of a permutation as a list of preimages and images to a permutation. We assume that both preimage and image do not contain repetitions.")) (|listRepresentation| (((|Record| (|:| |preimage| (|List| |#1|)) (|:| |image| (|List| |#1|))) $) "\\spad{listRepresentation(p)} produces a representation {\\em rep} of the permutation \\spad{p} as a list of preimages and images,{} \\spad{i}.\\spad{e} \\spad{p} maps {\\em (rep.preimage).k} to {\\em (rep.image).k} for all indices \\spad{k}. Elements of \\spad{S} not in {\\em (rep.preimage).k} are fixed points,{} and these are the only fixed points of the permutation."))) ((-4467 . T)) -((-3803 (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-865)))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-865)))) +((-2811 (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-865)))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-865)))) (-929 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 @@ -3664,7 +3664,7 @@ NIL ((|constructor| (NIL "PrimeField(\\spad{p}) implements the field with \\spad{p} elements if \\spad{p} is a prime number. Error: if \\spad{p} is not prime. Note: this domain does not check that argument is a prime."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) ((|HasCategory| $ (QUOTE (-148))) (|HasCategory| $ (QUOTE (-146))) (|HasCategory| $ (QUOTE (-380)))) -(-934 R0 -2191 UP UPUP R) +(-934 R0 -1985 UP UPUP R) ((|constructor| (NIL "This package provides function for testing whether a divisor on a curve is a torsion divisor.")) (|torsionIfCan| (((|Union| (|Record| (|:| |order| (|NonNegativeInteger|)) (|:| |function| |#5|)) "failed") (|FiniteDivisor| |#2| |#3| |#4| |#5|)) "\\spad{torsionIfCan(f)}\\\\ undocumented")) (|torsion?| (((|Boolean|) (|FiniteDivisor| |#2| |#3| |#4| |#5|)) "\\spad{torsion?(f)} \\undocumented")) (|order| (((|Union| (|NonNegativeInteger|) "failed") (|FiniteDivisor| |#2| |#3| |#4| |#5|)) "\\spad{order(f)} \\undocumented"))) NIL NIL @@ -3692,7 +3692,7 @@ NIL ((|constructor| (NIL "PermutationGroupExamples provides permutation groups for some classes of groups: symmetric,{} alternating,{} dihedral,{} cyclic,{} direct products of cyclic,{} which are in fact the finite abelian groups of symmetric groups called Young subgroups. Furthermore,{} Rubik\\spad{'s} group as permutation group of 48 integers and a list of sporadic simple groups derived from the atlas of finite groups.")) (|youngGroup| (((|PermutationGroup| (|Integer|)) (|Partition|)) "\\spad{youngGroup(lambda)} constructs the direct product of the symmetric groups given by the parts of the partition {\\em lambda}.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{youngGroup([n1,...,nk])} constructs the direct product of the symmetric groups {\\em Sn1},{}...,{}{\\em Snk}.")) (|rubiksGroup| (((|PermutationGroup| (|Integer|))) "\\spad{rubiksGroup constructs} the permutation group representing Rubic\\spad{'s} Cube acting on integers {\\em 10*i+j} for {\\em 1 <= i <= 6},{} {\\em 1 <= j <= 8}. The faces of Rubik\\spad{'s} Cube are labelled in the obvious way Front,{} Right,{} Up,{} Down,{} Left,{} Back and numbered from 1 to 6 in this given ordering,{} the pieces on each face (except the unmoveable center piece) are clockwise numbered from 1 to 8 starting with the piece in the upper left corner. The moves of the cube are represented as permutations on these pieces,{} represented as a two digit integer {\\em ij} where \\spad{i} is the numer of theface (1 to 6) and \\spad{j} is the number of the piece on this face. The remaining ambiguities are resolved by looking at the 6 generators,{} which represent a 90 degree turns of the faces,{} or from the following pictorial description. Permutation group representing Rubic\\spad{'s} Cube acting on integers 10*i+j for 1 \\spad{<=} \\spad{i} \\spad{<=} 6,{} 1 \\spad{<=} \\spad{j} \\spad{<=8}. \\blankline\\begin{verbatim}Rubik's Cube: +-----+ +-- B where: marks Side # : / U /|/ / / | F(ront) <-> 1 L --> +-----+ R| R(ight) <-> 2 | | + U(p) <-> 3 | F | / D(own) <-> 4 | |/ L(eft) <-> 5 +-----+ B(ack) <-> 6 ^ | DThe Cube's surface: The pieces on each side +---+ (except the unmoveable center |567| piece) are clockwise numbered |4U8| from 1 to 8 starting with the |321| piece in the upper left +---+---+---+ corner (see figure on the |781|123|345| left). The moves of the cube |6L2|8F4|2R6| are represented as |543|765|187| permutations on these pieces. +---+---+---+ Each of the pieces is |123| represented as a two digit |8D4| integer ij where i is the |765| # of the side ( 1 to 6 for +---+ F to B (see table above )) |567| and j is the # of the piece. |4B8| |321| +---+\\end{verbatim}")) (|janko2| (((|PermutationGroup| (|Integer|))) "\\spad{janko2 constructs} the janko group acting on the integers 1,{}...,{}100.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{janko2(li)} constructs the janko group acting on the 100 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 100 different entries")) (|mathieu24| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu24 constructs} the mathieu group acting on the integers 1,{}...,{}24.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu24(li)} constructs the mathieu group acting on the 24 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 24 different entries.")) (|mathieu23| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu23 constructs} the mathieu group acting on the integers 1,{}...,{}23.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu23(li)} constructs the mathieu group acting on the 23 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 23 different entries.")) (|mathieu22| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu22 constructs} the mathieu group acting on the integers 1,{}...,{}22.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu22(li)} constructs the mathieu group acting on the 22 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 22 different entries.")) (|mathieu12| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu12 constructs} the mathieu group acting on the integers 1,{}...,{}12.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu12(li)} constructs the mathieu group acting on the 12 integers given in the list {\\em li}. Note: duplicates in the list will be removed Error: if {\\em li} has less or more than 12 different entries.")) (|mathieu11| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu11 constructs} the mathieu group acting on the integers 1,{}...,{}11.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu11(li)} constructs the mathieu group acting on the 11 integers given in the list {\\em li}. Note: duplicates in the list will be removed. error,{} if {\\em li} has less or more than 11 different entries.")) (|dihedralGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{dihedralGroup([i1,...,ik])} constructs the dihedral group of order 2k acting on the integers out of {\\em i1},{}...,{}{\\em ik}. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{dihedralGroup(n)} constructs the dihedral group of order 2n acting on integers 1,{}...,{}\\spad{N}.")) (|cyclicGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{cyclicGroup([i1,...,ik])} constructs the cyclic group of order \\spad{k} acting on the integers {\\em i1},{}...,{}{\\em ik}. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{cyclicGroup(n)} constructs the cyclic group of order \\spad{n} acting on the integers 1,{}...,{}\\spad{n}.")) (|abelianGroup| (((|PermutationGroup| (|Integer|)) (|List| (|PositiveInteger|))) "\\spad{abelianGroup([n1,...,nk])} constructs the abelian group that is the direct product of cyclic groups with order {\\em ni}.")) (|alternatingGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{alternatingGroup(li)} constructs the alternating group acting on the integers in the list {\\em li},{} generators are in general the {\\em n-2}-cycle {\\em (li.3,...,li.n)} and the 3-cycle {\\em (li.1,li.2,li.3)},{} if \\spad{n} is odd and product of the 2-cycle {\\em (li.1,li.2)} with {\\em n-2}-cycle {\\em (li.3,...,li.n)} and the 3-cycle {\\em (li.1,li.2,li.3)},{} if \\spad{n} is even. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{alternatingGroup(n)} constructs the alternating group {\\em An} acting on the integers 1,{}...,{}\\spad{n},{} generators are in general the {\\em n-2}-cycle {\\em (3,...,n)} and the 3-cycle {\\em (1,2,3)} if \\spad{n} is odd and the product of the 2-cycle {\\em (1,2)} with {\\em n-2}-cycle {\\em (3,...,n)} and the 3-cycle {\\em (1,2,3)} if \\spad{n} is even.")) (|symmetricGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{symmetricGroup(li)} constructs the symmetric group acting on the integers in the list {\\em li},{} generators are the cycle given by {\\em li} and the 2-cycle {\\em (li.1,li.2)}. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{symmetricGroup(n)} constructs the symmetric group {\\em Sn} acting on the integers 1,{}...,{}\\spad{n},{} generators are the {\\em n}-cycle {\\em (1,...,n)} and the 2-cycle {\\em (1,2)}."))) NIL NIL -(-941 -2191) +(-941 -1985) ((|constructor| (NIL "Groebner functions for \\spad{P} \\spad{F} \\indented{2}{This package is an interface package to the groebner basis} package which allows you to compute groebner bases for polynomials in either lexicographic ordering or total degree ordering refined by reverse lex. The input is the ordinary polynomial type which is internally converted to a type with the required ordering. The resulting grobner basis is converted back to ordinary polynomials. The ordering among the variables is controlled by an explicit list of variables which is passed as a second argument. The coefficient domain is allowed to be any \\spad{gcd} domain,{} but the groebner basis is computed as if the polynomials were over a field.")) (|totalGroebner| (((|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{totalGroebner(lp,lv)} computes Groebner basis for the list of polynomials \\spad{lp} with the terms ordered first by total degree and then refined by reverse lexicographic ordering. The variables are ordered by their position in the list \\spad{lv}.")) (|lexGroebner| (((|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{lexGroebner(lp,lv)} computes Groebner basis for the list of polynomials \\spad{lp} in lexicographic order. The variables are ordered by their position in the list \\spad{lv}."))) NIL NIL @@ -3708,11 +3708,11 @@ NIL ((|constructor| (NIL "\\spadtype{PositiveInteger} provides functions for \\indented{2}{positive integers.}")) (|commutative| ((|attribute| "*") "\\spad{commutative(\"*\")} means multiplication is commutative : x*y = \\spad{y*x}")) (|gcd| (($ $ $) "\\spad{gcd(a,b)} computes the greatest common divisor of two positive integers \\spad{a} and \\spad{b}."))) (((-4472 "*") . T)) NIL -(-945 -2191 P) +(-945 -1985 P) ((|constructor| (NIL "This package exports interpolation algorithms")) (|LagrangeInterpolation| ((|#2| (|List| |#1|) (|List| |#1|)) "\\spad{LagrangeInterpolation(l1,l2)} \\undocumented"))) NIL NIL -(-946 |xx| -2191) +(-946 |xx| -1985) ((|constructor| (NIL "This package exports interpolation algorithms")) (|interpolate| (((|SparseUnivariatePolynomial| |#2|) (|List| |#2|) (|List| |#2|)) "\\spad{interpolate(lf,lg)} \\undocumented") (((|UnivariatePolynomial| |#1| |#2|) (|UnivariatePolynomial| |#1| |#2|) (|List| |#2|) (|List| |#2|)) "\\spad{interpolate(u,lf,lg)} \\undocumented"))) NIL NIL @@ -3736,7 +3736,7 @@ NIL ((|constructor| (NIL "This package exports plotting tools")) (|calcRanges| (((|List| (|Segment| (|DoubleFloat|))) (|List| (|List| (|Point| (|DoubleFloat|))))) "\\spad{calcRanges(l)} \\undocumented"))) NIL NIL -(-952 R -2191) +(-952 R -1985) ((|constructor| (NIL "Attaching assertions to symbols for pattern matching; Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|multiple| ((|#2| |#2|) "\\spad{multiple(x)} tells the pattern matcher that \\spad{x} should preferably match a multi-term quantity in a sum or product. For matching on lists,{} multiple(\\spad{x}) tells the pattern matcher that \\spad{x} should match a list instead of an element of a list. Error: if \\spad{x} is not a symbol.")) (|optional| ((|#2| |#2|) "\\spad{optional(x)} tells the pattern matcher that \\spad{x} can match an identity (0 in a sum,{} 1 in a product or exponentiation). Error: if \\spad{x} is not a symbol.")) (|constant| ((|#2| |#2|) "\\spad{constant(x)} tells the pattern matcher that \\spad{x} should match only the symbol \\spad{'x} and no other quantity. Error: if \\spad{x} is not a symbol.")) (|assert| ((|#2| |#2| (|Identifier|)) "\\spad{assert(x, s)} makes the assertion \\spad{s} about \\spad{x}. Error: if \\spad{x} is not a symbol."))) NIL NIL @@ -3748,7 +3748,7 @@ NIL ((|constructor| (NIL "This packages provides tools for matching recursively in type towers.")) (|patternMatch| (((|PatternMatchResult| |#1| |#3|) |#2| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#3|)) "\\spad{patternMatch(expr, pat, res)} matches the pattern \\spad{pat} to the expression \\spad{expr}; res contains the variables of \\spad{pat} which are already matched and their matches. Note: this function handles type towers by changing the predicates and calling the matching function provided by \\spad{A}.")) (|fixPredicate| (((|Mapping| (|Boolean|) |#2|) (|Mapping| (|Boolean|) |#3|)) "\\spad{fixPredicate(f)} returns \\spad{g} defined by \\spad{g}(a) = \\spad{f}(a::B)."))) NIL NIL -(-955 S R -2191) +(-955 S R -1985) ((|constructor| (NIL "This package provides pattern matching functions on function spaces.")) (|patternMatch| (((|PatternMatchResult| |#1| |#3|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#3|)) "\\spad{patternMatch(expr, pat, res)} matches the pattern \\spad{pat} to the expression \\spad{expr}; res contains the variables of \\spad{pat} which are already matched and their matches."))) NIL NIL @@ -3768,11 +3768,11 @@ 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 -905) (|devaluate| |#1|)))) -(-960 R -2191 -2651) +(-960 R -1985 -2136) ((|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 -(-961 -2651) +(-961 -2136) ((|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 @@ -3795,7 +3795,7 @@ NIL (-966 R) ((|constructor| (NIL "This domain implements points in coordinate space"))) ((-4471 . T) (-4470 . T)) -((-3803 (-12 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-3803 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-742))) (|HasCategory| |#1| (QUOTE (-1074))) (-12 (|HasCategory| |#1| (QUOTE (-1027))) (|HasCategory| |#1| (QUOTE (-1074)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) +((-2811 (-12 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-2811 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-742))) (|HasCategory| |#1| (QUOTE (-1074))) (-12 (|HasCategory| |#1| (QUOTE (-1027))) (|HasCategory| |#1| (QUOTE (-1074)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-967 |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 @@ -3820,7 +3820,7 @@ NIL ((|constructor| (NIL "The category for general multi-variate polynomials over a ring \\spad{R},{} in variables from VarSet,{} with exponents from the \\spadtype{OrderedAbelianMonoidSup}.")) (|canonicalUnitNormal| ((|attribute|) "we can choose a unique representative for each associate class. This normalization is chosen to be normalization of leading coefficient (by default).")) (|squareFreePart| (($ $) "\\spad{squareFreePart(p)} returns product of all the irreducible factors of polynomial \\spad{p} each taken with multiplicity one.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(p)} returns the square free factorization of the polynomial \\spad{p}.")) (|primitivePart| (($ $ |#3|) "\\spad{primitivePart(p,v)} returns the unitCanonical associate of the polynomial \\spad{p} with its content with respect to the variable \\spad{v} divided out.") (($ $) "\\spad{primitivePart(p)} returns the unitCanonical associate of the polynomial \\spad{p} with its content divided out.")) (|content| (($ $ |#3|) "\\spad{content(p,v)} is the \\spad{gcd} of the coefficients of the polynomial \\spad{p} when \\spad{p} is viewed as a univariate polynomial with respect to the variable \\spad{v}. Thus,{} for polynomial 7*x**2*y + 14*x*y**2,{} the \\spad{gcd} of the coefficients with respect to \\spad{x} is 7*y.")) (|discriminant| (($ $ |#3|) "\\spad{discriminant(p,v)} returns the disriminant of the polynomial \\spad{p} with respect to the variable \\spad{v}.")) (|resultant| (($ $ $ |#3|) "\\spad{resultant(p,q,v)} returns the resultant of the polynomials \\spad{p} and \\spad{q} with respect to the variable \\spad{v}.")) (|primitiveMonomials| (((|List| $) $) "\\spad{primitiveMonomials(p)} gives the list of monomials of the polynomial \\spad{p} with their coefficients removed. Note: \\spad{primitiveMonomials(sum(a_(i) X^(i))) = [X^(1),...,X^(n)]}.")) (|variables| (((|List| |#3|) $) "\\spad{variables(p)} returns the list of those variables actually appearing in the polynomial \\spad{p}.")) (|totalDegree| (((|NonNegativeInteger|) $ (|List| |#3|)) "\\spad{totalDegree(p, lv)} returns the maximum sum (over all monomials of polynomial \\spad{p}) of the variables in the list \\spad{lv}.") (((|NonNegativeInteger|) $) "\\spad{totalDegree(p)} returns the largest sum over all monomials of all exponents of a monomial.")) (|isExpt| (((|Union| (|Record| (|:| |var| |#3|) (|:| |exponent| (|NonNegativeInteger|))) "failed") $) "\\spad{isExpt(p)} returns \\spad{[x, n]} if polynomial \\spad{p} has the form \\spad{x**n} and \\spad{n > 0}.")) (|isTimes| (((|Union| (|List| $) "failed") $) "\\spad{isTimes(p)} returns \\spad{[a1,...,an]} if polynomial \\spad{p = a1 ... an} and \\spad{n >= 2},{} and,{} for each \\spad{i},{} \\spad{ai} is either a nontrivial constant in \\spad{R} or else of the form \\spad{x**e},{} where \\spad{e > 0} is an integer and \\spad{x} in a member of VarSet.")) (|isPlus| (((|Union| (|List| $) "failed") $) "\\spad{isPlus(p)} returns \\spad{[m1,...,mn]} if polynomial \\spad{p = m1 + ... + mn} and \\spad{n >= 2} and each \\spad{mi} is a nonzero monomial.")) (|multivariate| (($ (|SparseUnivariatePolynomial| $) |#3|) "\\spad{multivariate(sup,v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.") (($ (|SparseUnivariatePolynomial| |#1|) |#3|) "\\spad{multivariate(sup,v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.")) (|monomial| (($ $ (|List| |#3|) (|List| (|NonNegativeInteger|))) "\\spad{monomial(a,[v1..vn],[e1..en])} returns \\spad{a*prod(vi**ei)}.") (($ $ |#3| (|NonNegativeInteger|)) "\\spad{monomial(a,x,n)} creates the monomial \\spad{a*x**n} where \\spad{a} is a polynomial,{} \\spad{x} is a variable and \\spad{n} is a nonnegative integer.")) (|monicDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $ |#3|) "\\spad{monicDivide(a,b,v)} divides the polynomial a by the polynomial \\spad{b},{} with each viewed as a univariate polynomial in \\spad{v} returning both the quotient and remainder. Error: if \\spad{b} is not monic with respect to \\spad{v}.")) (|minimumDegree| (((|List| (|NonNegativeInteger|)) $ (|List| |#3|)) "\\spad{minimumDegree(p, lv)} gives the list of minimum degrees of the polynomial \\spad{p} with respect to each of the variables in the list \\spad{lv}") (((|NonNegativeInteger|) $ |#3|) "\\spad{minimumDegree(p,v)} gives the minimum degree of polynomial \\spad{p} with respect to \\spad{v},{} \\spadignore{i.e.} viewed a univariate polynomial in \\spad{v}")) (|mainVariable| (((|Union| |#3| "failed") $) "\\spad{mainVariable(p)} returns the biggest variable which actually occurs in the polynomial \\spad{p},{} or \"failed\" if no variables are present. fails precisely if polynomial satisfies ground?")) (|univariate| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{univariate(p)} converts the multivariate polynomial \\spad{p},{} which should actually involve only one variable,{} into a univariate polynomial in that variable,{} whose coefficients are in the ground ring. Error: if polynomial is genuinely multivariate") (((|SparseUnivariatePolynomial| $) $ |#3|) "\\spad{univariate(p,v)} converts the multivariate polynomial \\spad{p} into a univariate polynomial in \\spad{v},{} whose coefficients are still multivariate polynomials (in all the other variables).")) (|monomials| (((|List| $) $) "\\spad{monomials(p)} returns the list of non-zero monomials of polynomial \\spad{p},{} \\spadignore{i.e.} \\spad{monomials(sum(a_(i) X^(i))) = [a_(1) X^(1),...,a_(n) X^(n)]}.")) (|coefficient| (($ $ (|List| |#3|) (|List| (|NonNegativeInteger|))) "\\spad{coefficient(p, lv, ln)} views the polynomial \\spad{p} as a polynomial in the variables of \\spad{lv} and returns the coefficient of the term \\spad{lv**ln},{} \\spadignore{i.e.} \\spad{prod(lv_i ** ln_i)}.") (($ $ |#3| (|NonNegativeInteger|)) "\\spad{coefficient(p,v,n)} views the polynomial \\spad{p} as a univariate polynomial in \\spad{v} and returns the coefficient of the \\spad{v**n} term.")) (|degree| (((|List| (|NonNegativeInteger|)) $ (|List| |#3|)) "\\spad{degree(p,lv)} gives the list of degrees of polynomial \\spad{p} with respect to each of the variables in the list \\spad{lv}.") (((|NonNegativeInteger|) $ |#3|) "\\spad{degree(p,v)} gives the degree of polynomial \\spad{p} with respect to the variable \\spad{v}."))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4468 |has| |#1| (-6 -4468)) (-4465 . T) (-4464 . T) (-4467 . T)) NIL -(-973 E V R P -2191) +(-973 E V R P -1985) ((|constructor| (NIL "This package transforms multivariate polynomials or fractions into univariate polynomials or fractions,{} and back.")) (|isPower| (((|Union| (|Record| (|:| |val| |#5|) (|:| |exponent| (|Integer|))) "failed") |#5|) "\\spad{isPower(p)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0},{} \"failed\" otherwise.")) (|isExpt| (((|Union| (|Record| (|:| |var| |#2|) (|:| |exponent| (|Integer|))) "failed") |#5|) "\\spad{isExpt(p)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0},{} \"failed\" otherwise.")) (|isTimes| (((|Union| (|List| |#5|) "failed") |#5|) "\\spad{isTimes(p)} returns \\spad{[a1,...,an]} if \\spad{p = a1 ... an} and \\spad{n > 1},{} \"failed\" otherwise.")) (|isPlus| (((|Union| (|List| |#5|) "failed") |#5|) "\\spad{isPlus(p)} returns [\\spad{m1},{}...,{}\\spad{mn}] if \\spad{p = m1 + ... + mn} and \\spad{n > 1},{} \"failed\" otherwise.")) (|multivariate| ((|#5| (|Fraction| (|SparseUnivariatePolynomial| |#5|)) |#2|) "\\spad{multivariate(f, v)} applies both the numerator and denominator of \\spad{f} to \\spad{v}.")) (|univariate| (((|SparseUnivariatePolynomial| |#5|) |#5| |#2| (|SparseUnivariatePolynomial| |#5|)) "\\spad{univariate(f, x, p)} returns \\spad{f} viewed as a univariate polynomial in \\spad{x},{} using the side-condition \\spad{p(x) = 0}.") (((|Fraction| (|SparseUnivariatePolynomial| |#5|)) |#5| |#2|) "\\spad{univariate(f, v)} returns \\spad{f} viewed as a univariate rational function in \\spad{v}.")) (|mainVariable| (((|Union| |#2| "failed") |#5|) "\\spad{mainVariable(f)} returns the highest variable appearing in the numerator or the denominator of \\spad{f},{} \"failed\" if \\spad{f} has no variables.")) (|variables| (((|List| |#2|) |#5|) "\\spad{variables(f)} returns the list of variables appearing in the numerator or the denominator of \\spad{f}."))) NIL NIL @@ -3831,8 +3831,8 @@ NIL (-975 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}."))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4468 |has| |#1| (-6 -4468)) (-4465 . T) (-4464 . T) (-4467 . T)) -((|HasCategory| |#1| (QUOTE (-932))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-3803 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-3803 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasCategory| (-1201) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-391))))) (-12 (|HasCategory| (-1201) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-577))))) (-12 (|HasCategory| (-1201) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391)))))) (-12 (|HasCategory| (-1201) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577)))))) (-12 (|HasCategory| (-1201) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549))))) (|HasCategory| |#1| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (-3803 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-375))) (|HasAttribute| |#1| (QUOTE -4468)) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (-3803 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-146))))) -(-976 E V R P -2191) +((|HasCategory| |#1| (QUOTE (-932))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-2811 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-2811 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasCategory| (-1201) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-391))))) (-12 (|HasCategory| (-1201) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-577))))) (-12 (|HasCategory| (-1201) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391)))))) (-12 (|HasCategory| (-1201) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577)))))) (-12 (|HasCategory| (-1201) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549))))) (|HasCategory| |#1| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (-2811 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-375))) (|HasAttribute| |#1| (QUOTE -4468)) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (-2811 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-146))))) +(-976 E V R P -1985) ((|constructor| (NIL "computes \\spad{n}-th roots of quotients of multivariate polynomials")) (|nthr| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#4|) (|:| |radicand| (|List| |#4|))) |#4| (|NonNegativeInteger|)) "\\spad{nthr(p,n)} should be local but conditional")) (|froot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) |#5| (|NonNegativeInteger|)) "\\spad{froot(f, n)} returns \\spad{[m,c,r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|qroot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) (|Fraction| (|Integer|)) (|NonNegativeInteger|)) "\\spad{qroot(f, n)} returns \\spad{[m,c,r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|rroot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) |#3| (|NonNegativeInteger|)) "\\spad{rroot(f, n)} returns \\spad{[m,c,r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|denom| ((|#4| $) "\\spad{denom(x)} \\undocumented")) (|numer| ((|#4| $) "\\spad{numer(x)} \\undocumented"))) NIL ((|HasCategory| |#3| (QUOTE (-465)))) @@ -3855,12 +3855,12 @@ NIL (-981 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"))) ((-4471 . T) (-4470 . T)) -((-3803 (-12 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-3803 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) +((-2811 (-12 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (-2811 (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| |#1| (QUOTE (-865))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-982) ((|constructor| (NIL "Category for the functions defined by integrals.")) (|integral| (($ $ (|SegmentBinding| $)) "\\spad{integral(f, x = a..b)} returns the formal definite integral of \\spad{f} \\spad{dx} for \\spad{x} between \\spad{a} and \\spad{b}.") (($ $ (|Symbol|)) "\\spad{integral(f, x)} returns the formal integral of \\spad{f} \\spad{dx}."))) NIL NIL -(-983 -2191) +(-983 -1985) ((|constructor| (NIL "PrimitiveElement provides functions to compute primitive elements in algebraic extensions.")) (|primitiveElement| (((|Record| (|:| |coef| (|List| (|Integer|))) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#1|))) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|)) (|Symbol|)) "\\spad{primitiveElement([p1,...,pn], [a1,...,an], a)} returns \\spad{[[c1,...,cn], [q1,...,qn], q]} such that then \\spad{k(a1,...,an) = k(a)},{} where \\spad{a = a1 c1 + ... + an cn},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}.") (((|Record| (|:| |coef| (|List| (|Integer|))) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#1|))) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{primitiveElement([p1,...,pn], [a1,...,an])} returns \\spad{[[c1,...,cn], [q1,...,qn], q]} such that then \\spad{k(a1,...,an) = k(a)},{} where \\spad{a = a1 c1 + ... + an cn},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}.") (((|Record| (|:| |coef1| (|Integer|)) (|:| |coef2| (|Integer|)) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|Polynomial| |#1|) (|Symbol|) (|Polynomial| |#1|) (|Symbol|)) "\\spad{primitiveElement(p1, a1, p2, a2)} returns \\spad{[c1, c2, q]} such that \\spad{k(a1, a2) = k(a)} where \\spad{a = c1 a1 + c2 a2, and q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. The \\spad{p2} may involve \\spad{a1},{} but \\spad{p1} must not involve a2. This operation uses \\spadfun{resultant}."))) NIL NIL @@ -3875,11 +3875,11 @@ NIL (-986 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}"))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4468 |has| |#1| (-6 -4468)) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-3803 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-132)))) (|HasAttribute| |#1| (QUOTE -4468))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2811 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-132)))) (|HasAttribute| |#1| (QUOTE -4468))) (-987 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"))) ((-4467 -12 (|has| |#2| (-486)) (|has| |#1| (-486)))) -((-3803 (-12 (|HasCategory| |#1| (QUOTE (-809))) (|HasCategory| |#2| (QUOTE (-809)))) (-12 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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 @@ -3968,7 +3968,7 @@ NIL ((|constructor| (NIL "This package \\undocumented{}")) (|map| ((|#4| (|Mapping| |#4| (|Polynomial| |#1|)) |#4|) "\\spad{map(f,p)} \\undocumented{}")) (|pushup| ((|#4| |#4| (|List| |#3|)) "\\spad{pushup(p,lv)} \\undocumented{}") ((|#4| |#4| |#3|) "\\spad{pushup(p,v)} \\undocumented{}")) (|pushdown| ((|#4| |#4| (|List| |#3|)) "\\spad{pushdown(p,lv)} \\undocumented{}") ((|#4| |#4| |#3|) "\\spad{pushdown(p,v)} \\undocumented{}")) (|variable| (((|Union| $ "failed") (|Symbol|)) "\\spad{variable(s)} makes an element from symbol \\spad{s} or fails")) (|convert| (((|Symbol|) $) "\\spad{convert(x)} converts \\spad{x} to a symbol"))) NIL NIL -(-1010 K R UP -2191) +(-1010 K R UP -1985) ((|constructor| (NIL "In this package \\spad{K} is a finite field,{} \\spad{R} is a ring of univariate polynomials over \\spad{K},{} and \\spad{F} is a monogenic algebra over \\spad{R}. We require that \\spad{F} is monogenic,{} \\spadignore{i.e.} that \\spad{F = K[x,y]/(f(x,y))},{} because the integral basis algorithm used will factor the polynomial \\spad{f(x,y)}. The package provides a function to compute the integral closure of \\spad{R} in the quotient field of \\spad{F} as well as a function to compute a \"local integral basis\" at a specific prime.")) (|reducedDiscriminant| ((|#2| |#3|) "\\spad{reducedDiscriminant(up)} \\undocumented")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) |#2|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv] } containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of the framed algebra \\spad{F}. \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If 'basis' is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix 'basisInv' contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if 'basisInv' is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv] } containing information regarding the integral closure of \\spad{R} in the quotient field of the framed algebra \\spad{F}. \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If 'basis' is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix 'basisInv' contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if 'basisInv' is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}."))) NIL NIL @@ -4027,11 +4027,11 @@ NIL (-1024 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.}"))) ((-4463 |has| |#1| (-301)) (-4464 . T) (-4465 . T) (-4467 . 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((-4470 . T) (-4471 . 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(** (($ $ (|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| (($ $) "\\spad{sqrt(x)} returns the square root of \\spad{x}."))) NIL @@ -4040,14 +4040,14 @@ NIL ((|constructor| (NIL "The \\spad{RadicalCategory} is a model for the rational numbers.")) (** (($ $ (|Fraction| (|Integer|))) "\\spad{x ** y} is the rational exponentiation of \\spad{x} by the power \\spad{y}.")) (|nthRoot| (($ $ (|Integer|)) "\\spad{nthRoot(x,n)} returns the \\spad{n}th root of \\spad{x}.")) (|sqrt| (($ $) "\\spad{sqrt(x)} returns the square root of \\spad{x}."))) NIL NIL -(-1028 -2191 UP UPUP |radicnd| |n|) +(-1028 -1985 UP UPUP |radicnd| |n|) ((|constructor| (NIL "Function field defined by y**n = \\spad{f}(\\spad{x})."))) ((-4463 |has| (-420 |#2|) (-375)) (-4468 |has| (-420 |#2|) (-375)) (-4462 |has| (-420 |#2|) (-375)) ((-4472 "*") . 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(|fractRadix| (($ (|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."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| (-577) (QUOTE (-932))) (|HasCategory| (-577) (LIST (QUOTE -1063) (QUOTE (-1201)))) (|HasCategory| (-577) (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-148))) (|HasCategory| (-577) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| (-577) (QUOTE (-1047))) (|HasCategory| (-577) (QUOTE (-836))) (|HasCategory| (-577) (QUOTE (-865))) (-3803 (|HasCategory| (-577) (QUOTE (-836))) (|HasCategory| (-577) (QUOTE (-865)))) (|HasCategory| (-577) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-1177))) (|HasCategory| (-577) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| (-577) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| (-577) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| (-577) (QUOTE (-238))) (|HasCategory| (-577) (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| (-577) (QUOTE (-239))) (|HasCategory| (-577) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-577) (LIST (QUOTE -527) (QUOTE (-1201)) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -320) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -297) (QUOTE (-577)) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-318))) (|HasCategory| (-577) (QUOTE (-558))) (|HasCategory| (-577) (LIST (QUOTE -654) (QUOTE (-577)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-932)))) (-3803 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-932)))) (|HasCategory| (-577) (QUOTE (-146))))) +((|HasCategory| (-577) (QUOTE (-932))) (|HasCategory| (-577) (LIST (QUOTE -1063) (QUOTE (-1201)))) (|HasCategory| (-577) (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-148))) (|HasCategory| (-577) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| (-577) (QUOTE (-1047))) (|HasCategory| (-577) (QUOTE (-836))) (|HasCategory| (-577) (QUOTE (-865))) (-2811 (|HasCategory| (-577) (QUOTE (-836))) (|HasCategory| (-577) (QUOTE (-865)))) (|HasCategory| (-577) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-1177))) (|HasCategory| (-577) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| (-577) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| (-577) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| (-577) (QUOTE (-238))) (|HasCategory| (-577) (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| (-577) (QUOTE (-239))) (|HasCategory| (-577) (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| (-577) (LIST (QUOTE -527) (QUOTE (-1201)) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -320) (QUOTE (-577)))) (|HasCategory| (-577) (LIST (QUOTE -297) (QUOTE (-577)) (QUOTE (-577)))) (|HasCategory| (-577) (QUOTE (-318))) (|HasCategory| (-577) (QUOTE (-558))) (|HasCategory| (-577) (LIST (QUOTE -654) (QUOTE (-577)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-932)))) (-2811 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-577) (QUOTE (-932)))) (|HasCategory| (-577) (QUOTE (-146))))) (-1030) ((|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 @@ -4080,19 +4080,19 @@ NIL ((|constructor| (NIL "\\axiomType{RealClosedField} provides common acces functions for all real closed fields.")) (|approximate| (((|Fraction| (|Integer|)) $ $) "\\axiom{approximate(\\spad{n},{}\\spad{p})} gives an approximation of \\axiom{\\spad{n}} that has precision \\axiom{\\spad{p}}")) (|rename| (($ $ (|OutputForm|)) "\\axiom{rename(\\spad{x},{}name)} gives a new number that prints as name")) (|rename!| (($ $ (|OutputForm|)) "\\axiom{rename!(\\spad{x},{}name)} changes the way \\axiom{\\spad{x}} is printed")) (|sqrt| (($ (|Integer|)) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ (|Fraction| (|Integer|))) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ $) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ $ (|PositiveInteger|)) "\\axiom{sqrt(\\spad{x},{}\\spad{n})} is \\axiom{\\spad{x} \\spad{**} (1/n)}")) (|allRootsOf| (((|List| $) (|Polynomial| (|Integer|))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|Polynomial| $)) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| (|Integer|))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| $)) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely")) (|rootOf| (((|Union| $ "failed") (|SparseUnivariatePolynomial| $) (|PositiveInteger|)) "\\axiom{rootOf(pol,{}\\spad{n})} creates the \\spad{n}th root for the order of \\axiom{pol} and gives it unique name") (((|Union| $ "failed") (|SparseUnivariatePolynomial| $) (|PositiveInteger|) (|OutputForm|)) "\\axiom{rootOf(pol,{}\\spad{n},{}name)} creates the \\spad{n}th root for the order of \\axiom{pol} and names it \\axiom{name}")) (|mainValue| (((|Union| (|SparseUnivariatePolynomial| $) "failed") $) "\\axiom{mainValue(\\spad{x})} is the expression of \\axiom{\\spad{x}} in terms of \\axiom{SparseUnivariatePolynomial(\\$)}")) (|mainDefiningPolynomial| (((|Union| (|SparseUnivariatePolynomial| $) "failed") $) "\\axiom{mainDefiningPolynomial(\\spad{x})} is the defining polynomial for the main algebraic quantity of \\axiom{\\spad{x}}")) (|mainForm| (((|Union| (|OutputForm|) "failed") $) "\\axiom{mainForm(\\spad{x})} is the main algebraic quantity name of \\axiom{\\spad{x}}"))) ((-4463 . T) (-4468 . T) (-4462 . T) (-4465 . T) (-4464 . T) ((-4472 "*") . T) (-4467 . T)) NIL -(-1038 R -2191) +(-1038 R -1985) ((|constructor| (NIL "\\indented{1}{Risch differential equation,{} elementary case.} Author: Manuel Bronstein Date Created: 1 February 1988 Date Last Updated: 2 November 1995 Keywords: elementary,{} function,{} integration.")) (|rischDE| (((|Record| (|:| |ans| |#2|) (|:| |right| |#2|) (|:| |sol?| (|Boolean|))) (|Integer|) |#2| |#2| (|Symbol|) (|Mapping| (|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|List| |#2|)) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| |#2|)) "\\spad{rischDE(n, f, g, x, lim, ext)} returns \\spad{[y, h, b]} such that \\spad{dy/dx + n df/dx y = h} and \\spad{b := h = g}. The equation \\spad{dy/dx + n df/dx y = g} has no solution if \\spad{h \\~~= g} (\\spad{y} is a partial solution in that case). Notes: \\spad{lim} is a limited integration function,{} and ext is an extended integration function."))) NIL NIL -(-1039 R -2191) +(-1039 R -1985) ((|constructor| (NIL "\\indented{1}{Risch differential equation,{} elementary case.} Author: Manuel Bronstein Date Created: 12 August 1992 Date Last Updated: 17 August 1992 Keywords: elementary,{} function,{} integration.")) (|rischDEsys| (((|Union| (|List| |#2|) "failed") (|Integer|) |#2| |#2| |#2| (|Symbol|) (|Mapping| (|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|List| |#2|)) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| |#2|)) "\\spad{rischDEsys(n, f, g_1, g_2, x,lim,ext)} returns \\spad{y_1.y_2} such that \\spad{(dy1/dx,dy2/dx) + ((0, - n df/dx),(n df/dx,0)) (y1,y2) = (g1,g2)} if \\spad{y_1,y_2} exist,{} \"failed\" otherwise. \\spad{lim} is a limited integration function,{} \\spad{ext} is an extended integration function."))) NIL NIL -(-1040 -2191 UP) +(-1040 -1985 UP) ((|constructor| (NIL "\\indented{1}{Risch differential equation,{} transcendental case.} Author: Manuel Bronstein Date Created: Jan 1988 Date Last Updated: 2 November 1995")) (|polyRDE| (((|Union| (|:| |ans| (|Record| (|:| |ans| |#2|) (|:| |nosol| (|Boolean|)))) (|:| |eq| (|Record| (|:| |b| |#2|) (|:| |c| |#2|) (|:| |m| (|Integer|)) (|:| |alpha| |#2|) (|:| |beta| |#2|)))) |#2| |#2| |#2| (|Integer|) (|Mapping| |#2| |#2|)) "\\spad{polyRDE(a, B, C, n, D)} returns either: 1. \\spad{[Q, b]} such that \\spad{degree(Q) <= n} and \\indented{3}{\\spad{a Q'+ B Q = C} if \\spad{b = true},{} \\spad{Q} is a partial solution} \\indented{3}{otherwise.} 2. \\spad{[B1, C1, m, \\alpha, \\beta]} such that any polynomial solution \\indented{3}{of degree at most \\spad{n} of \\spad{A Q' + BQ = C} must be of the form} \\indented{3}{\\spad{Q = \\alpha H + \\beta} where \\spad{degree(H) <= m} and} \\indented{3}{\\spad{H} satisfies \\spad{H' + B1 H = C1}.} \\spad{D} is the derivation to use.")) (|baseRDE| (((|Record| (|:| |ans| (|Fraction| |#2|)) (|:| |nosol| (|Boolean|))) (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{baseRDE(f, g)} returns a \\spad{[y, b]} such that \\spad{y' + fy = g} if \\spad{b = true},{} \\spad{y} is a partial solution otherwise (no solution in that case). \\spad{D} is the derivation to use.")) (|monomRDE| (((|Union| (|Record| (|:| |a| |#2|) (|:| |b| (|Fraction| |#2|)) (|:| |c| (|Fraction| |#2|)) (|:| |t| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{monomRDE(f,g,D)} returns \\spad{[A, B, C, T]} such that \\spad{y' + f y = g} has a solution if and only if \\spad{y = Q / T},{} where \\spad{Q} satisfies \\spad{A Q' + B Q = C} and has no normal pole. A and \\spad{T} are polynomials and \\spad{B} and \\spad{C} have no normal poles. \\spad{D} is the derivation to use."))) NIL NIL -(-1041 -2191 UP) +(-1041 -1985 UP) ((|constructor| (NIL "\\indented{1}{Risch differential equation system,{} transcendental case.} Author: Manuel Bronstein Date Created: 17 August 1992 Date Last Updated: 3 February 1994")) (|baseRDEsys| (((|Union| (|List| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{baseRDEsys(f, g1, g2)} returns fractions \\spad{y_1.y_2} such that \\spad{(y1', y2') + ((0, -f), (f, 0)) (y1,y2) = (g1,g2)} if \\spad{y_1,y_2} exist,{} \"failed\" otherwise.")) (|monomRDEsys| (((|Union| (|Record| (|:| |a| |#2|) (|:| |b| (|Fraction| |#2|)) (|:| |h| |#2|) (|:| |c1| (|Fraction| |#2|)) (|:| |c2| (|Fraction| |#2|)) (|:| |t| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{monomRDEsys(f,g1,g2,D)} returns \\spad{[A, B, H, C1, C2, T]} such that \\spad{(y1', y2') + ((0, -f), (f, 0)) (y1,y2) = (g1,g2)} has a solution if and only if \\spad{y1 = Q1 / T, y2 = Q2 / T},{} where \\spad{B,C1,C2,Q1,Q2} have no normal poles and satisfy A \\spad{(Q1', Q2') + ((H, -B), (B, H)) (Q1,Q2) = (C1,C2)} \\spad{D} is the derivation to use."))) NIL NIL @@ -4127,8 +4127,8 @@ NIL (-1049 |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"))) ((-4463 . T) (-4468 . T) (-4462 . T) (-4465 . T) (-4464 . T) ((-4472 "*") . T) (-4467 . T)) -((-3803 (|HasCategory| (-420 (-577)) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| (-420 (-577)) (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-420 (-577)) (LIST (QUOTE -1063) (QUOTE (-577))))) -(-1050 -2191 L) +((-2811 (|HasCategory| (-420 (-577)) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| (-420 (-577)) (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-420 (-577)) (LIST (QUOTE -1063) (QUOTE (-577))))) +(-1050 -1985 L) ((|constructor| (NIL "\\spadtype{ReductionOfOrder} provides functions for reducing the order of linear ordinary differential equations once some solutions are known.")) (|ReduceOrder| (((|Record| (|:| |eq| |#2|) (|:| |op| (|List| |#1|))) |#2| (|List| |#1|)) "\\spad{ReduceOrder(op, [f1,...,fk])} returns \\spad{[op1,[g1,...,gk]]} such that for any solution \\spad{z} of \\spad{op1 z = 0},{} \\spad{y = gk \\int(g_{k-1} \\int(... \\int(g1 \\int z)...)} is a solution of \\spad{op y = 0}. Each \\spad{fi} must satisfy \\spad{op fi = 0}.") ((|#2| |#2| |#1|) "\\spad{ReduceOrder(op, s)} returns \\spad{op1} such that for any solution \\spad{z} of \\spad{op1 z = 0},{} \\spad{y = s \\int z} is a solution of \\spad{op y = 0}. \\spad{s} must satisfy \\spad{op s = 0}."))) NIL NIL @@ -4164,14 +4164,14 @@ NIL ((|constructor| (NIL "This package provides coercions for the special types \\spadtype{Exit} and \\spadtype{Void}.")) (|coerce| ((|#1| (|Exit|)) "\\spad{coerce(e)} is never really evaluated. This coercion is used for formal type correctness when a function will not return directly to its caller.") (((|Void|) |#1|) "\\spad{coerce(s)} throws all information about \\spad{s} away. This coercion allows values of any type to appear in contexts where they will not be used. For example,{} it allows the resolution of different types in the \\spad{then} and \\spad{else} branches when an \\spad{if} is in a context where the resulting value is not used."))) NIL NIL -(-1059 -2191 |Expon| |VarSet| |FPol| |LFPol|) +(-1059 -1985 |Expon| |VarSet| |FPol| |LFPol|) ((|constructor| (NIL "ResidueRing is the quotient of a polynomial ring by an ideal. The ideal is given as a list of generators. The elements of the domain are equivalence classes expressed in terms of reduced elements")) (|lift| ((|#4| $) "\\spad{lift(x)} return the canonical representative of the equivalence class \\spad{x}")) (|coerce| (($ |#4|) "\\spad{coerce(f)} produces the equivalence class of \\spad{f} in the residue ring")) (|reduce| (($ |#4|) "\\spad{reduce(f)} produces the equivalence class of \\spad{f} in the residue ring"))) (((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) NIL (-1060) ((|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.}"))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2350) (QUOTE (-1201))) (LIST (QUOTE |:|) (QUOTE -2911) (QUOTE (-52))))))) (-3803 (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (QUOTE (-1125))) (|HasCategory| (-52) (QUOTE (-1125)))) (-3803 (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (QUOTE (-1125))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1125)))) (-3803 (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-52) (QUOTE (-1125))) (|HasCategory| (-52) (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (LIST (QUOTE -627) (QUOTE (-549)))) (-12 (|HasCategory| (-52) (QUOTE (-1125))) (|HasCategory| (-52) (LIST (QUOTE -320) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (QUOTE (-1125))) (|HasCategory| (-1201) (QUOTE (-865))) (|HasCategory| (-52) (QUOTE (-1125))) (-3803 (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-52) (LIST (QUOTE -626) (QUOTE (-880))))) (-3803 (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4323) (QUOTE (-1201))) (LIST (QUOTE |:|) (QUOTE -2438) (QUOTE (-52))))))) (-2811 (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (QUOTE (-1125))) (|HasCategory| (-52) (QUOTE (-1125)))) (-2811 (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (QUOTE (-1125))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1125)))) (-2811 (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-52) (QUOTE (-1125))) (|HasCategory| (-52) (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (LIST (QUOTE -627) (QUOTE (-549)))) (-12 (|HasCategory| (-52) (QUOTE (-1125))) (|HasCategory| (-52) (LIST (QUOTE -320) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (QUOTE (-1125))) (|HasCategory| (-1201) (QUOTE (-865))) (|HasCategory| (-52) (QUOTE (-1125))) (-2811 (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-52) (LIST (QUOTE -626) (QUOTE (-880))))) (-2811 (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (QUOTE (-102)))) (-1061) ((|constructor| (NIL "This domain represents `return' expressions.")) (|expression| (((|SpadAst|) $) "\\spad{expression(e)} returns the expression returned by `e'."))) NIL @@ -4228,7 +4228,7 @@ NIL ((|constructor| (NIL "The category of rings with unity,{} always associative,{} but not necessarily commutative.")) (|unitsKnown| ((|attribute|) "recip truly yields reciprocal or \"failed\" if not a unit. Note: \\spad{recip(0) = \"failed\"}.")) (|characteristic| (((|NonNegativeInteger|)) "\\spad{characteristic()} returns the characteristic of the ring this is the smallest positive integer \\spad{n} such that \\spad{n*x=0} for all \\spad{x} in the ring,{} or zero if no such \\spad{n} exists."))) ((-4467 . T)) NIL -(-1075 |xx| -2191) +(-1075 |xx| -1985) ((|constructor| (NIL "This package exports rational interpolation algorithms"))) NIL NIL @@ -4247,7 +4247,7 @@ NIL (-1079 |m| |n| R) ((|constructor| (NIL "\\spadtype{RectangularMatrix} is a matrix domain where the number of rows and the number of columns are parameters of the domain.")) (|rectangularMatrix| (($ (|Matrix| |#3|)) "\\spad{rectangularMatrix(m)} converts a matrix of type \\spadtype{Matrix} to a matrix of type \\spad{RectangularMatrix}."))) ((-4470 . T) (-4465 . T) (-4464 . T)) -((|HasCategory| |#3| (QUOTE (-174))) (-3803 (-12 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (LIST (QUOTE -320) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-375))) (|HasCategory| |#3| (LIST (QUOTE -320) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-1125))) (|HasCategory| |#3| (LIST (QUOTE -320) (|devaluate| |#3|))))) (|HasCategory| |#3| (LIST (QUOTE -627) (QUOTE (-549)))) (-3803 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-375)))) (|HasCategory| |#3| (QUOTE (-375))) (|HasCategory| |#3| (QUOTE (-1125))) (|HasCategory| |#3| (QUOTE (-318))) (|HasCategory| |#3| (QUOTE (-569))) (-12 (|HasCategory| |#3| (QUOTE (-1125))) (|HasCategory| |#3| (LIST (QUOTE -320) (|devaluate| |#3|)))) (|HasCategory| |#3| (QUOTE (-102))) (|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-880))))) +((|HasCategory| |#3| (QUOTE (-174))) (-2811 (-12 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (LIST (QUOTE -320) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-375))) (|HasCategory| |#3| (LIST (QUOTE -320) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-1125))) (|HasCategory| |#3| (LIST (QUOTE -320) (|devaluate| |#3|))))) (|HasCategory| |#3| (LIST (QUOTE -627) (QUOTE (-549)))) (-2811 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-375)))) (|HasCategory| |#3| (QUOTE (-375))) (|HasCategory| |#3| (QUOTE (-1125))) (|HasCategory| |#3| (QUOTE (-318))) (|HasCategory| |#3| (QUOTE (-569))) (-12 (|HasCategory| |#3| (QUOTE (-1125))) (|HasCategory| |#3| (LIST (QUOTE -320) (|devaluate| |#3|)))) (|HasCategory| |#3| (QUOTE (-102))) (|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-880))))) (-1080 |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 @@ -4283,7 +4283,7 @@ NIL (-1088) ((|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}"))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2350) (QUOTE (-1201))) (LIST (QUOTE |:|) (QUOTE -2911) (QUOTE (-52))))))) (-3803 (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (QUOTE (-1125))) (|HasCategory| (-52) (QUOTE (-1125)))) (-3803 (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (QUOTE (-1125))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1125)))) (-3803 (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-52) (QUOTE (-1125))) (|HasCategory| (-52) (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (LIST (QUOTE -627) (QUOTE (-549)))) (-12 (|HasCategory| (-52) (QUOTE (-1125))) (|HasCategory| (-52) (LIST (QUOTE -320) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (QUOTE (-1125))) (|HasCategory| (-1201) (QUOTE (-865))) (|HasCategory| (-52) (QUOTE (-1125))) (-3803 (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-52) (LIST (QUOTE -626) (QUOTE (-880))))) (-3803 (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4323) (QUOTE (-1201))) (LIST (QUOTE |:|) (QUOTE -2438) (QUOTE (-52))))))) (-2811 (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (QUOTE (-1125))) (|HasCategory| (-52) (QUOTE (-1125)))) (-2811 (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (QUOTE (-1125))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1125)))) (-2811 (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-52) (QUOTE (-1125))) (|HasCategory| (-52) (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (LIST (QUOTE -627) (QUOTE (-549)))) (-12 (|HasCategory| (-52) (QUOTE (-1125))) (|HasCategory| (-52) (LIST (QUOTE -320) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (QUOTE (-1125))) (|HasCategory| (-1201) (QUOTE (-865))) (|HasCategory| (-52) (QUOTE (-1125))) (-2811 (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-52) (LIST (QUOTE -626) (QUOTE (-880))))) (-2811 (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (QUOTE (-102)))) (-1089 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 @@ -4332,11 +4332,11 @@ NIL ((|constructor| (NIL "This domain implements named rules")) (|name| (((|Symbol|) $) "\\spad{name(x)} returns the symbol"))) NIL NIL -(-1101 |Base| R -2191) +(-1101 |Base| R -1985) ((|constructor| (NIL "\\indented{1}{Rules for the pattern matcher} Author: Manuel Bronstein Date Created: 24 Oct 1988 Date Last Updated: 26 October 1993 Keywords: pattern,{} matching,{} rule.")) (|quotedOperators| (((|List| (|Symbol|)) $) "\\spad{quotedOperators(r)} returns the list of operators on the right hand side of \\spad{r} that are considered quoted,{} that is they are not evaluated during any rewrite,{} but just applied formally to their arguments.")) (|elt| ((|#3| $ |#3| (|PositiveInteger|)) "\\spad{elt(r,f,n)} or \\spad{r}(\\spad{f},{} \\spad{n}) applies the rule \\spad{r} to \\spad{f} at most \\spad{n} times.")) (|rhs| ((|#3| $) "\\spad{rhs(r)} returns the right hand side of the rule \\spad{r}.")) (|lhs| ((|#3| $) "\\spad{lhs(r)} returns the left hand side of the rule \\spad{r}.")) (|pattern| (((|Pattern| |#1|) $) "\\spad{pattern(r)} returns the pattern corresponding to the left hand side of the rule \\spad{r}.")) (|suchThat| (($ $ (|List| (|Symbol|)) (|Mapping| (|Boolean|) (|List| |#3|))) "\\spad{suchThat(r, [a1,...,an], f)} returns the rewrite rule \\spad{r} with the predicate \\spad{f(a1,...,an)} attached to it.")) (|rule| (($ |#3| |#3| (|List| (|Symbol|))) "\\spad{rule(f, g, [f1,...,fn])} creates the rewrite rule \\spad{f == eval(eval(g, g is f), [f1,...,fn])},{} that is a rule with left-hand side \\spad{f} and right-hand side \\spad{g}; The symbols \\spad{f1},{}...,{}\\spad{fn} are the operators that are considered quoted,{} that is they are not evaluated during any rewrite,{} but just applied formally to their arguments.") (($ |#3| |#3|) "\\spad{rule(f, g)} creates the rewrite rule: \\spad{f == eval(g, g is f)},{} with left-hand side \\spad{f} and right-hand side \\spad{g}."))) NIL NIL -(-1102 |Base| R -2191) +(-1102 |Base| R -1985) ((|constructor| (NIL "A ruleset is a set of pattern matching rules grouped together.")) (|elt| ((|#3| $ |#3| (|PositiveInteger|)) "\\spad{elt(r,f,n)} or \\spad{r}(\\spad{f},{} \\spad{n}) applies all the rules of \\spad{r} to \\spad{f} at most \\spad{n} times.")) (|rules| (((|List| (|RewriteRule| |#1| |#2| |#3|)) $) "\\spad{rules(r)} returns the rules contained in \\spad{r}.")) (|ruleset| (($ (|List| (|RewriteRule| |#1| |#2| |#3|))) "\\spad{ruleset([r1,...,rn])} creates the rule set \\spad{{r1,...,rn}}."))) NIL NIL @@ -4351,7 +4351,7 @@ NIL (-1105 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."))) ((-4463 |has| |#1| (-375)) (-4468 |has| |#1| (-375)) (-4462 |has| |#1| (-375)) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-361))) (-3803 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-361)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-380))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (QUOTE (-361)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-375)))) (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (QUOTE (-361)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201))))) (-12 (|HasCategory| |#1| (QUOTE (-361))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201))))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201)))))) (|HasCategory| |#1| (LIST (QUOTE -654) (QUOTE (-577)))) (-3803 (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (QUOTE (-361)))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201))))) (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-375)))) (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-375)))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))))) +((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-361))) (-2811 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-361)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-380))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (QUOTE (-361)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-375)))) (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (QUOTE (-361)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201))))) (-12 (|HasCategory| |#1| (QUOTE (-361))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201))))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201)))))) (|HasCategory| |#1| (LIST (QUOTE -654) (QUOTE (-577)))) (-2811 (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-375)))) (|HasCategory| |#1| (QUOTE (-361)))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -923) (QUOTE (-1201))))) (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-375)))) (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-375)))) (-12 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))))) (-1106 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 @@ -4379,7 +4379,7 @@ NIL (-1112 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"))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4468 |has| |#1| (-6 -4468)) (-4465 . T) (-4464 . T) (-4467 . 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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 @@ -4439,7 +4439,7 @@ NIL (-1127 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)}}"))) ((-4470 . T) (-4460 . T) (-4471 . T)) -((-3803 (-12 (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) +((-2811 (-12 (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-380))) (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|))))) (-1128 |Str| |Sym| |Int| |Flt| |Expr|) ((|constructor| (NIL "This category allows the manipulation of Lisp values while keeping the grunge fairly localized.")) (|#| (((|Integer|) $) "\\spad{\\#((a1,...,an))} returns \\spad{n}.")) (|cdr| (($ $) "\\spad{cdr((a1,...,an))} returns \\spad{(a2,...,an)}.")) (|car| (($ $) "\\spad{car((a1,...,an))} returns a1.")) (|expr| ((|#5| $) "\\spad{expr(s)} returns \\spad{s} as an element of Expr; Error: if \\spad{s} is not an atom that also belongs to Expr.")) (|float| ((|#4| $) "\\spad{float(s)} returns \\spad{s} as an element of \\spad{Flt}; Error: if \\spad{s} is not an atom that also belongs to \\spad{Flt}.")) (|integer| ((|#3| $) "\\spad{integer(s)} returns \\spad{s} as an element of Int. Error: if \\spad{s} is not an atom that also belongs to Int.")) (|symbol| ((|#2| $) "\\spad{symbol(s)} returns \\spad{s} as an element of \\spad{Sym}. Error: if \\spad{s} is not an atom that also belongs to \\spad{Sym}.")) (|string| ((|#1| $) "\\spad{string(s)} returns \\spad{s} as an element of \\spad{Str}. Error: if \\spad{s} is not an atom that also belongs to \\spad{Str}.")) (|destruct| (((|List| $) $) "\\spad{destruct((a1,...,an))} returns the list [a1,{}...,{}an].")) (|float?| (((|Boolean|) $) "\\spad{float?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Flt}.")) (|integer?| (((|Boolean|) $) "\\spad{integer?(s)} is \\spad{true} if \\spad{s} is an atom and belong to Int.")) (|symbol?| (((|Boolean|) $) "\\spad{symbol?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Sym}.")) (|string?| (((|Boolean|) $) "\\spad{string?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Str}.")) (|list?| (((|Boolean|) $) "\\spad{list?(s)} is \\spad{true} if \\spad{s} is a Lisp list,{} possibly ().")) (|pair?| (((|Boolean|) $) "\\spad{pair?(s)} is \\spad{true} if \\spad{s} has is a non-null Lisp list.")) (|atom?| (((|Boolean|) $) "\\spad{atom?(s)} is \\spad{true} if \\spad{s} is a Lisp atom.")) (|null?| (((|Boolean|) $) "\\spad{null?(s)} is \\spad{true} if \\spad{s} is the \\spad{S}-expression ().")) 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(-577))))) (-12 (|HasCategory| |#3| (QUOTE (-865))) (|HasCategory| |#3| (LIST (QUOTE -1063) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (QUOTE (-1074))) (|HasCategory| |#3| (LIST (QUOTE -1063) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (QUOTE (-1125))) (|HasCategory| |#3| (LIST (QUOTE -1063) (QUOTE (-577)))))) (|HasCategory| (-577) (QUOTE (-865))) (-12 (|HasCategory| |#3| (QUOTE (-1074))) (|HasCategory| |#3| (LIST (QUOTE -654) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (QUOTE (-238))) (|HasCategory| |#3| (QUOTE (-1074)))) (-12 (|HasCategory| |#3| (QUOTE (-1074))) (|HasCategory| |#3| (LIST (QUOTE -923) (QUOTE (-1201))))) (-2811 (|HasCategory| |#3| (QUOTE (-1074))) (-12 (|HasCategory| |#3| (QUOTE (-1125))) (|HasCategory| |#3| (LIST (QUOTE -1063) (QUOTE (-577)))))) (-12 (|HasCategory| |#3| (QUOTE (-1125))) (|HasCategory| |#3| (LIST (QUOTE -1063) (QUOTE (-577))))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#3| (QUOTE (-1125)))) (|HasAttribute| |#3| (QUOTE -4467)) (-12 (|HasCategory| |#3| (QUOTE (-239))) (|HasCategory| |#3| (QUOTE (-1074)))) (-12 (|HasCategory| |#3| (QUOTE (-1074))) (|HasCategory| |#3| (LIST (QUOTE -921) (QUOTE (-1201))))) (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-23))) (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#3| (QUOTE (-102))) (-12 (|HasCategory| |#3| (QUOTE (-1125))) (|HasCategory| |#3| (LIST (QUOTE -320) (|devaluate| |#3|))))) (-1139 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 @@ -4492,7 +4492,7 @@ NIL ((|constructor| (NIL "This domain represents a signature AST. A signature AST \\indented{2}{is a description of an exported operation,{} \\spadignore{e.g.} its name,{} result} \\indented{2}{type,{} and the list of its argument types.}")) (|signature| (((|Signature|) $) "\\spad{signature(s)} returns AST of the declared signature for \\spad{`s'}.")) (|name| (((|Identifier|) $) "\\spad{name(s)} returns the name of the signature \\spad{`s'}.")) (|signatureAst| (($ (|Identifier|) (|Signature|)) "\\spad{signatureAst(n,s,t)} builds the signature AST \\spad{n:} \\spad{s} \\spad{->} \\spad{t}"))) NIL NIL -(-1141 R -2191) +(-1141 R -1985) ((|constructor| (NIL "This package provides functions to determine the sign of an elementary function around a point or infinity.")) (|sign| (((|Union| (|Integer|) "failed") |#2| (|Symbol|) |#2| (|String|)) "\\spad{sign(f, x, a, s)} returns the sign of \\spad{f} as \\spad{x} nears \\spad{a} from below if \\spad{s} is \"left\",{} or above if \\spad{s} is \"right\".") (((|Union| (|Integer|) "failed") |#2| (|Symbol|) (|OrderedCompletion| |#2|)) "\\spad{sign(f, x, a)} returns the sign of \\spad{f} as \\spad{x} nears \\spad{a},{} from both sides if \\spad{a} is finite.") (((|Union| (|Integer|) "failed") |#2|) "\\spad{sign(f)} returns the sign of \\spad{f} if it is constant everywhere."))) NIL NIL @@ -4531,16 +4531,16 @@ NIL (-1150 R |VarSet|) ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials. It is parameterized by the coefficient ring and the variable set which may be infinite. The variable ordering is determined by the variable set parameter. The coefficient ring may be non-commutative,{} but the variables are assumed to commute."))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4468 |has| |#1| (-6 -4468)) (-4465 . T) (-4464 . T) (-4467 . T)) -((|HasCategory| |#1| (QUOTE (-932))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-3803 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-3803 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-391))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-577))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#2| (LIST (QUOTE -627) (QUOTE (-549))))) (|HasCategory| |#1| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (-3803 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-375))) (|HasAttribute| |#1| (QUOTE -4468)) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (-3803 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-932))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-2811 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-932)))) (-2811 (|HasCategory| |#1| (QUOTE (-465))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-391))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-577))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#2| (LIST (QUOTE -627) (QUOTE (-549))))) (|HasCategory| |#1| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (-2811 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-375))) (|HasAttribute| |#1| (QUOTE -4468)) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (-2811 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-932)))) (|HasCategory| |#1| (QUOTE (-146))))) (-1151 |Coef| |Var| SMP) ((|constructor| (NIL "This domain provides multivariate Taylor series with variables from an arbitrary ordered set. A Taylor series is represented by a stream of polynomials from the polynomial domain \\spad{SMP}. The \\spad{n}th element of the stream is a form of degree \\spad{n}. SMTS is an internal domain.")) (|fintegrate| (($ (|Mapping| $) |#2| |#1|) "\\spad{fintegrate(f,v,c)} is the integral of \\spad{f()} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.} \\indented{1}{The evaluation of \\spad{f()} is delayed.}")) (|integrate| (($ $ |#2| |#1|) "\\spad{integrate(s,v,c)} is the integral of \\spad{s} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.}")) (|csubst| (((|Mapping| (|Stream| |#3|) |#3|) (|List| |#2|) (|List| (|Stream| |#3|))) "\\spad{csubst(a,b)} is for internal use only")) (* (($ |#3| $) "\\spad{smp*ts} multiplies a TaylorSeries by a monomial \\spad{SMP}.")) (|coerce| (($ |#3|) "\\spad{coerce(poly)} regroups the terms by total degree and forms a series.") (($ |#2|) "\\spad{coerce(var)} converts a variable to a Taylor series")) (|coefficient| ((|#3| $ (|NonNegativeInteger|)) "\\spad{coefficient(s, n)} gives the terms of total degree \\spad{n}."))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4465 . T) (-4464 . T) (-4467 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-375)))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-375)))) (-1152 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}"))) ((-4471 . T) (-4470 . T)) NIL -(-1153 UP -2191) +(-1153 UP -1985) ((|constructor| (NIL "This package factors the formulas out of the general solve code,{} allowing their recursive use over different domains. Care is taken to introduce few radicals so that radical extension domains can more easily simplify the results.")) (|aQuartic| ((|#2| |#2| |#2| |#2| |#2| |#2|) "\\spad{aQuartic(f,g,h,i,k)} \\undocumented")) (|aCubic| ((|#2| |#2| |#2| |#2| |#2|) "\\spad{aCubic(f,g,h,j)} \\undocumented")) (|aQuadratic| ((|#2| |#2| |#2| |#2|) "\\spad{aQuadratic(f,g,h)} \\undocumented")) (|aLinear| ((|#2| |#2| |#2|) "\\spad{aLinear(f,g)} \\undocumented")) (|quartic| (((|List| |#2|) |#2| |#2| |#2| |#2| |#2|) "\\spad{quartic(f,g,h,i,j)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{quartic(u)} \\undocumented")) (|cubic| (((|List| |#2|) |#2| |#2| |#2| |#2|) "\\spad{cubic(f,g,h,i)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{cubic(u)} \\undocumented")) (|quadratic| (((|List| |#2|) |#2| |#2| |#2|) "\\spad{quadratic(f,g,h)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{quadratic(u)} \\undocumented")) (|linear| (((|List| |#2|) |#2| |#2|) "\\spad{linear(f,g)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{linear(u)} \\undocumented")) (|mapSolve| (((|Record| (|:| |solns| (|List| |#2|)) (|:| |maps| (|List| (|Record| (|:| |arg| |#2|) (|:| |res| |#2|))))) |#1| (|Mapping| |#2| |#2|)) "\\spad{mapSolve(u,f)} \\undocumented")) (|particularSolution| ((|#2| |#1|) "\\spad{particularSolution(u)} \\undocumented")) (|solve| (((|List| |#2|) |#1|) "\\spad{solve(u)} \\undocumented"))) NIL NIL @@ -4595,11 +4595,11 @@ NIL (-1166 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."))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| (-1165 |#1| |#2|) (LIST (QUOTE -320) (LIST (QUOTE -1165) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1165 |#1| |#2|) (QUOTE (-1125)))) (|HasCategory| (-1165 |#1| |#2|) (QUOTE (-1125))) (-3803 (|HasCategory| (-1165 |#1| |#2|) (QUOTE (-102))) (|HasCategory| (-1165 |#1| |#2|) (QUOTE (-1125)))) (-3803 (|HasCategory| (-1165 |#1| |#2|) (LIST (QUOTE -626) (QUOTE (-880)))) (-12 (|HasCategory| (-1165 |#1| |#2|) (LIST (QUOTE -320) (LIST (QUOTE -1165) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1165 |#1| |#2|) (QUOTE (-1125))))) (|HasCategory| (-1165 |#1| |#2|) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-1165 |#1| |#2|) (QUOTE (-102)))) +((-12 (|HasCategory| (-1165 |#1| |#2|) (LIST (QUOTE -320) (LIST (QUOTE -1165) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1165 |#1| |#2|) (QUOTE (-1125)))) (|HasCategory| (-1165 |#1| |#2|) (QUOTE (-1125))) (-2811 (|HasCategory| (-1165 |#1| |#2|) (QUOTE (-102))) (|HasCategory| (-1165 |#1| |#2|) (QUOTE (-1125)))) (-2811 (|HasCategory| (-1165 |#1| |#2|) (LIST (QUOTE -626) (QUOTE (-880)))) (-12 (|HasCategory| (-1165 |#1| |#2|) (LIST (QUOTE -320) (LIST (QUOTE -1165) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1165 |#1| |#2|) (QUOTE (-1125))))) (|HasCategory| (-1165 |#1| |#2|) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-1165 |#1| |#2|) (QUOTE (-102)))) (-1167 |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}."))) ((-4467 . T) (-4459 |has| |#2| (-6 (-4472 "*"))) (-4470 . T) (-4464 . T) (-4465 . T)) -((|HasCategory| |#2| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#2| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (QUOTE (-238))) (|HasAttribute| |#2| (QUOTE (-4472 "*"))) (|HasCategory| |#2| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-577)))) (-3803 (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -654) (QUOTE (-577))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -921) (QUOTE (-1201)))))) (|HasCategory| |#2| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#2| (QUOTE (-318))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-375))) (-3803 (|HasAttribute| |#2| (QUOTE (-4472 "*"))) (|HasCategory| |#2| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#2| (QUOTE (-239)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) +((|HasCategory| |#2| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#2| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (QUOTE (-238))) (|HasAttribute| |#2| (QUOTE (-4472 "*"))) (|HasCategory| |#2| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-577)))) (-2811 (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -654) (QUOTE (-577))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -921) (QUOTE (-1201)))))) (|HasCategory| |#2| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#2| (QUOTE (-318))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-375))) (-2811 (|HasAttribute| |#2| (QUOTE (-4472 "*"))) (|HasCategory| |#2| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#2| (QUOTE (-239)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) (-1168 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|) $ $) "\\spad{prefix?(s,t)} tests if the string \\spad{s} is the initial substring of \\spad{t}. Note: \\axiom{prefix?(\\spad{s},{}\\spad{t}) \\spad{==} reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.\\spad{i} for \\spad{i} in 0..maxIndex \\spad{s}])}.")) (|upperCase!| (($ $) "\\spad{upperCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by upper case characters.")) (|upperCase| (($ $) "\\spad{upperCase(s)} returns the string with all characters in upper case.")) (|lowerCase!| (($ $) "\\spad{lowerCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by lower case.")) (|lowerCase| (($ $) "\\spad{lowerCase(s)} returns the string with all characters in lower case."))) NIL @@ -4619,7 +4619,7 @@ NIL (-1172 S) ((|constructor| (NIL "Linked List implementation of a Stack")) (|stack| (($ (|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}."))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) (-1173 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 @@ -4631,7 +4631,7 @@ NIL (-1175 |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."))) ((-4471 . T)) -((-12 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2350) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2911) (|devaluate| |#2|)))))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-1125)))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1125)))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -627) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-865))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125)))) +((-12 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4323) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2438) (|devaluate| |#2|)))))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-1125)))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1125)))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -627) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-865))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125)))) (-1176) ((|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|) $) "\\spad{iterationVar(i)} returns the name of the iterating variable of the arithmetic progression iterator \\spad{i}."))) NIL @@ -4659,15 +4659,15 @@ NIL (-1182 S) ((|constructor| (NIL "A stream is an implementation of an infinite sequence using a list of terms that have been computed and a function closure to compute additional terms when needed.")) (|filterUntil| (($ (|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."))) ((-4471 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) (-1183) ((|string| (($ (|DoubleFloat|)) "\\spad{string f} returns the decimal representation of \\spad{f} in a string") (($ (|Integer|)) "\\spad{string i} returns the decimal representation of \\spad{i} in a string"))) ((-4471 . 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T)) -((-3803 (-12 (|HasCategory| (-145) (QUOTE (-865))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (-3803 (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-880)))) (-12 (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -627) (QUOTE (-549)))) (-3803 (|HasCategory| (-145) (QUOTE (-865))) (|HasCategory| (-145) (QUOTE (-1125)))) (|HasCategory| (-145) (QUOTE (-865))) (-3803 (|HasCategory| (-145) (QUOTE (-102))) (|HasCategory| (-145) (QUOTE (-865))) (|HasCategory| (-145) (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) +((-2811 (-12 (|HasCategory| (-145) (QUOTE (-865))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (-2811 (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-880)))) (-12 (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -627) (QUOTE (-549)))) (-2811 (|HasCategory| (-145) (QUOTE (-865))) (|HasCategory| (-145) (QUOTE (-1125)))) (|HasCategory| (-145) (QUOTE (-865))) (-2811 (|HasCategory| (-145) (QUOTE (-102))) (|HasCategory| (-145) (QUOTE (-865))) (|HasCategory| (-145) (QUOTE (-1125)))) (|HasCategory| (-577) (QUOTE (-865))) (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1125))) (|HasCategory| (-145) (LIST (QUOTE -320) (QUOTE (-145)))))) (-1184 |Entry|) ((|constructor| (NIL "This domain provides tables where the keys are strings. 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(|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 @@ -4698,9 +4698,9 @@ NIL NIL (-1192 |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. 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(|sum| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{sum(f(n), n = a..b)} returns \\spad{f}(a) + \\spad{f}(a+1) + ... + \\spad{f}(\\spad{b}).") ((|#2| |#2| (|Symbol|)) "\\spad{sum(a(n), n)} returns A(\\spad{n}) such that A(\\spad{n+1}) - A(\\spad{n}) = a(\\spad{n})."))) NIL NIL @@ -4719,15 +4719,15 @@ NIL (-1197 R) ((|constructor| (NIL "This domain represents univariate polynomials over arbitrary (not necessarily commutative) coefficient rings. The variable is unspecified so that the variable displays as \\spad{?} on output. If it is necessary to specify the variable name,{} use type \\spadtype{UnivariatePolynomial}. The representation is sparse in the sense that only non-zero terms are represented.")) 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We may integrate a series when we can divide coefficients by integers."))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4468 |has| |#1| (-375)) (-4462 |has| |#1| (-375)) (-4464 . T) (-4465 . T) (-4467 . 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We may integrate a series when we can divide coefficients by integers.")) (|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}."))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-787)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-787)) (|devaluate| |#1|)))) (|HasCategory| (-787) (QUOTE (-1137))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-787))))) (|HasSignature| |#1| (LIST (QUOTE -4106) (LIST (|devaluate| |#1|) (QUOTE (-1201)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-787))))) (|HasCategory| |#1| (QUOTE (-375))) (-3803 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-982))) (|HasCategory| |#1| (QUOTE (-1227))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasSignature| |#1| (LIST (QUOTE -1557) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1201))))) (|HasSignature| |#1| (LIST (QUOTE -2195) (LIST (LIST (QUOTE -660) (QUOTE (-1201))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-787)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-787)) (|devaluate| |#1|)))) (|HasCategory| (-787) (QUOTE (-1137))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-787))))) (|HasSignature| |#1| (LIST (QUOTE -3603) (LIST (|devaluate| |#1|) (QUOTE (-1201)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-787))))) (|HasCategory| |#1| (QUOTE (-375))) (-2811 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-982))) (|HasCategory| |#1| (QUOTE (-1227))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasSignature| |#1| (LIST (QUOTE -4339) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1201))))) (|HasSignature| |#1| (LIST (QUOTE -3206) (LIST (LIST (QUOTE -660) (QUOTE (-1201))) (|devaluate| |#1|))))))) (-1200) ((|constructor| (NIL "This domain builds representations of boolean expressions for use with the \\axiomType{FortranCode} domain.")) (NOT (($ $) "\\spad{NOT(x)} returns the \\axiomType{Switch} expression representing \\spad{\\~~x}.") (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{NOT(x)} returns the \\axiomType{Switch} expression representing \\spad{\\~~x}.")) (AND (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{AND(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x and y}.")) (EQ (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{EQ(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x = y}.")) (OR (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{OR(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x or y}.")) (GE (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{GE(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x>=y}.")) (LE (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{LE(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x<=y}.")) (GT (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{GT(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x>y}.")) (LT (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{LT(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x<y}.")) (|coerce| (($ (|Symbol|)) "\\spad{coerce(s)} \\undocumented{}"))) NIL @@ -4743,7 +4743,7 @@ NIL (-1203 R) ((|constructor| (NIL "This domain implements symmetric polynomial"))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4468 |has| |#1| (-6 -4468)) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-3803 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| (-996) (QUOTE (-132))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasAttribute| |#1| (QUOTE -4468))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2811 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-465))) (-12 (|HasCategory| (-996) (QUOTE (-132))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasAttribute| |#1| (QUOTE -4468))) (-1204) ((|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 @@ -4787,7 +4787,7 @@ NIL (-1214 |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}"))) ((-4470 . T) (-4471 . T)) -((-12 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2350) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2911) (|devaluate| |#2|)))))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-1125)))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1125)))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -627) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-1125))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#2| (QUOTE (-1125))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (-3803 (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -320) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4323) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2438) (|devaluate| |#2|)))))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-1125)))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1125)))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -627) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1125))) (|HasCategory| |#2| (LIST (QUOTE -320) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-1125))) (|HasCategory| |#1| (QUOTE (-865))) (|HasCategory| |#2| (QUOTE (-1125))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880))))) (-2811 (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (QUOTE (-102)))) (-1215 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 @@ -4843,7 +4843,7 @@ NIL (-1228 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| $)) "\\spad{tree(nd,ls)} creates a tree with value \\spad{nd},{} and children \\spad{ls}."))) ((-4471 . T) (-4470 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-3803 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-3803 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1125))) (-2811 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1125)))) (-2811 (-12 (|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -320) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880)))) (|HasCategory| |#1| (QUOTE (-102)))) (-1229 S) ((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}."))) NIL @@ -4852,7 +4852,7 @@ NIL ((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}."))) NIL NIL -(-1231 R -2191) +(-1231 R -1985) ((|constructor| (NIL "\\spadtype{TrigonometricManipulations} provides transformations from trigonometric functions to complex exponentials and logarithms,{} and back.")) (|complexForm| (((|Complex| |#2|) |#2|) "\\spad{complexForm(f)} returns \\spad{[real f, imag f]}.")) (|real?| (((|Boolean|) |#2|) "\\spad{real?(f)} returns \\spad{true} if \\spad{f = real f}.")) (|imag| ((|#2| |#2|) "\\spad{imag(f)} returns the imaginary part of \\spad{f} where \\spad{f} is a complex function.")) (|real| ((|#2| |#2|) "\\spad{real(f)} returns the real part of \\spad{f} where \\spad{f} is a complex function.")) (|trigs| ((|#2| |#2|) "\\spad{trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (|complexElementary| ((|#2| |#2| (|Symbol|)) "\\spad{complexElementary(f, x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.") ((|#2| |#2|) "\\spad{complexElementary(f)} rewrites \\spad{f} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.")) (|complexNormalize| ((|#2| |#2| (|Symbol|)) "\\spad{complexNormalize(f, x)} rewrites \\spad{f} using the least possible number of complex independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{complexNormalize(f)} rewrites \\spad{f} using the least possible number of complex independent kernels."))) NIL NIL @@ -4860,7 +4860,7 @@ NIL ((|constructor| (NIL "This package provides functions that compute \"fraction-free\" inverses of upper and lower triangular matrices over a integral domain. By \"fraction-free inverses\" we mean the following: given a matrix \\spad{B} with entries in \\spad{R} and an element \\spad{d} of \\spad{R} such that \\spad{d} * inv(\\spad{B}) also has entries in \\spad{R},{} we return \\spad{d} * inv(\\spad{B}). Thus,{} it is not necessary to pass to the quotient field in any of our computations.")) (|LowTriBddDenomInv| ((|#4| |#4| |#1|) "\\spad{LowTriBddDenomInv(B,d)} returns \\spad{M},{} where \\spad{B} is a non-singular lower triangular matrix and \\spad{d} is an element of \\spad{R} such that \\spad{M = d * inv(B)} has entries in \\spad{R}.")) (|UpTriBddDenomInv| ((|#4| |#4| |#1|) "\\spad{UpTriBddDenomInv(B,d)} returns \\spad{M},{} where \\spad{B} is a non-singular upper triangular matrix and \\spad{d} is an element of \\spad{R} such that \\spad{M = d * inv(B)} has entries in \\spad{R}."))) NIL NIL -(-1233 R -2191) +(-1233 R -1985) ((|constructor| (NIL "TranscendentalManipulations provides functions to simplify and expand expressions involving transcendental operators.")) (|expandTrigProducts| ((|#2| |#2|) "\\spad{expandTrigProducts(e)} replaces \\axiom{sin(\\spad{x})*sin(\\spad{y})} by \\spad{(cos(x-y)-cos(x+y))/2},{} \\axiom{cos(\\spad{x})*cos(\\spad{y})} by \\spad{(cos(x-y)+cos(x+y))/2},{} and \\axiom{sin(\\spad{x})*cos(\\spad{y})} by \\spad{(sin(x-y)+sin(x+y))/2}. Note that this operation uses the pattern matcher and so is relatively expensive. To avoid getting into an infinite loop the transformations are applied at most ten times.")) (|removeSinhSq| ((|#2| |#2|) "\\spad{removeSinhSq(f)} converts every \\spad{sinh(u)**2} appearing in \\spad{f} into \\spad{1 - cosh(x)**2},{} and also reduces higher powers of \\spad{sinh(u)} with that formula.")) (|removeCoshSq| ((|#2| |#2|) "\\spad{removeCoshSq(f)} converts every \\spad{cosh(u)**2} appearing in \\spad{f} into \\spad{1 - sinh(x)**2},{} and also reduces higher powers of \\spad{cosh(u)} with that formula.")) (|removeSinSq| ((|#2| |#2|) "\\spad{removeSinSq(f)} converts every \\spad{sin(u)**2} appearing in \\spad{f} into \\spad{1 - cos(x)**2},{} and also reduces higher powers of \\spad{sin(u)} with that formula.")) (|removeCosSq| ((|#2| |#2|) "\\spad{removeCosSq(f)} converts every \\spad{cos(u)**2} appearing in \\spad{f} into \\spad{1 - sin(x)**2},{} and also reduces higher powers of \\spad{cos(u)} with that formula.")) (|coth2tanh| ((|#2| |#2|) "\\spad{coth2tanh(f)} converts every \\spad{coth(u)} appearing in \\spad{f} into \\spad{1/tanh(u)}.")) (|cot2tan| ((|#2| |#2|) "\\spad{cot2tan(f)} converts every \\spad{cot(u)} appearing in \\spad{f} into \\spad{1/tan(u)}.")) (|tanh2coth| ((|#2| |#2|) "\\spad{tanh2coth(f)} converts every \\spad{tanh(u)} appearing in \\spad{f} into \\spad{1/coth(u)}.")) (|tan2cot| ((|#2| |#2|) "\\spad{tan2cot(f)} converts every \\spad{tan(u)} appearing in \\spad{f} into \\spad{1/cot(u)}.")) (|tanh2trigh| ((|#2| |#2|) "\\spad{tanh2trigh(f)} converts every \\spad{tanh(u)} appearing in \\spad{f} into \\spad{sinh(u)/cosh(u)}.")) (|tan2trig| ((|#2| |#2|) "\\spad{tan2trig(f)} converts every \\spad{tan(u)} appearing in \\spad{f} into \\spad{sin(u)/cos(u)}.")) (|sinh2csch| ((|#2| |#2|) "\\spad{sinh2csch(f)} converts every \\spad{sinh(u)} appearing in \\spad{f} into \\spad{1/csch(u)}.")) (|sin2csc| ((|#2| |#2|) "\\spad{sin2csc(f)} converts every \\spad{sin(u)} appearing in \\spad{f} into \\spad{1/csc(u)}.")) (|sech2cosh| ((|#2| |#2|) "\\spad{sech2cosh(f)} converts every \\spad{sech(u)} appearing in \\spad{f} into \\spad{1/cosh(u)}.")) (|sec2cos| ((|#2| |#2|) "\\spad{sec2cos(f)} converts every \\spad{sec(u)} appearing in \\spad{f} into \\spad{1/cos(u)}.")) (|csch2sinh| ((|#2| |#2|) "\\spad{csch2sinh(f)} converts every \\spad{csch(u)} appearing in \\spad{f} into \\spad{1/sinh(u)}.")) (|csc2sin| ((|#2| |#2|) "\\spad{csc2sin(f)} converts every \\spad{csc(u)} appearing in \\spad{f} into \\spad{1/sin(u)}.")) (|coth2trigh| ((|#2| |#2|) "\\spad{coth2trigh(f)} converts every \\spad{coth(u)} appearing in \\spad{f} into \\spad{cosh(u)/sinh(u)}.")) (|cot2trig| ((|#2| |#2|) "\\spad{cot2trig(f)} converts every \\spad{cot(u)} appearing in \\spad{f} into \\spad{cos(u)/sin(u)}.")) (|cosh2sech| ((|#2| |#2|) "\\spad{cosh2sech(f)} converts every \\spad{cosh(u)} appearing in \\spad{f} into \\spad{1/sech(u)}.")) (|cos2sec| ((|#2| |#2|) "\\spad{cos2sec(f)} converts every \\spad{cos(u)} appearing in \\spad{f} into \\spad{1/sec(u)}.")) (|expandLog| ((|#2| |#2|) "\\spad{expandLog(f)} converts every \\spad{log(a/b)} appearing in \\spad{f} into \\spad{log(a) - log(b)},{} and every \\spad{log(a*b)} into \\spad{log(a) + log(b)}..")) (|expandPower| ((|#2| |#2|) "\\spad{expandPower(f)} converts every power \\spad{(a/b)**c} appearing in \\spad{f} into \\spad{a**c * b**(-c)}.")) (|simplifyLog| ((|#2| |#2|) "\\spad{simplifyLog(f)} converts every \\spad{log(a) - log(b)} appearing in \\spad{f} into \\spad{log(a/b)},{} every \\spad{log(a) + log(b)} into \\spad{log(a*b)} and every \\spad{n*log(a)} into \\spad{log(a^n)}.")) (|simplifyExp| ((|#2| |#2|) "\\spad{simplifyExp(f)} converts every product \\spad{exp(a)*exp(b)} appearing in \\spad{f} into \\spad{exp(a+b)}.")) (|htrigs| ((|#2| |#2|) "\\spad{htrigs(f)} converts all the exponentials in \\spad{f} into hyperbolic sines and cosines.")) (|simplify| ((|#2| |#2|) "\\spad{simplify(f)} performs the following simplifications on \\spad{f:}\\begin{items} \\item 1. rewrites trigs and hyperbolic trigs in terms of \\spad{sin} ,{}\\spad{cos},{} \\spad{sinh},{} \\spad{cosh}. \\item 2. rewrites \\spad{sin**2} and \\spad{sinh**2} in terms of \\spad{cos} and \\spad{cosh},{} \\item 3. rewrites \\spad{exp(a)*exp(b)} as \\spad{exp(a+b)}. \\item 4. rewrites \\spad{(a**(1/n))**m * (a**(1/s))**t} as a single power of a single radical of \\spad{a}. \\end{items}")) (|expand| ((|#2| |#2|) "\\spad{expand(f)} performs the following expansions on \\spad{f:}\\begin{items} \\item 1. logs of products are expanded into sums of logs,{} \\item 2. trigonometric and hyperbolic trigonometric functions of sums are expanded into sums of products of trigonometric and hyperbolic trigonometric functions. \\item 3. formal powers of the form \\spad{(a/b)**c} are expanded into \\spad{a**c * b**(-c)}. \\end{items}"))) NIL ((-12 (|HasCategory| |#1| (LIST (QUOTE -627) (LIST (QUOTE -911) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -905) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -905) (|devaluate| |#1|))))) @@ -4875,7 +4875,7 @@ NIL (-1236 |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}."))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4465 . T) (-4464 . T) (-4467 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-375)))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-375)))) (-1237 |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 @@ -4888,7 +4888,7 @@ NIL ((|constructor| (NIL "\\indented{1}{This domain is used to interface with the interpreter\\spad{'s} notion} of comma-delimited sequences of values.")) (|length| (((|NonNegativeInteger|) $) "\\spad{length(x)} returns the number of elements in tuple \\spad{x}")) (|select| ((|#1| $ (|NonNegativeInteger|)) "\\spad{select(x,n)} returns the \\spad{n}-th element of tuple \\spad{x}. tuples are 0-based"))) NIL ((|HasCategory| |#1| (QUOTE (-1125))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-880))))) -(-1240 -2191) +(-1240 -1985) ((|constructor| (NIL "A basic package for the factorization of bivariate polynomials over a finite field. The functions here represent the base step for the multivariate factorizer.")) (|twoFactor| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|)) (|Integer|)) "\\spad{twoFactor(p,n)} returns the factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}. Also,{} \\spad{p} is assumed primitive and square-free and \\spad{n} is the degree of the inner variable of \\spad{p} (maximum of the degrees of the coefficients of \\spad{p}).")) (|generalSqFr| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) "\\spad{generalSqFr(p)} returns the square-free factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}.")) (|generalTwoFactor| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) "\\spad{generalTwoFactor(p)} returns the factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}."))) NIL NIL @@ -4951,11 +4951,11 @@ NIL (-1255 |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)}."))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4468 |has| |#1| (-375)) (-4462 |has| |#1| (-375)) (-4464 . T) (-4465 . T) (-4467 . 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The factorization is done by \"lifting\" (HENSEL) the factorization over a finite field.")) (|henselFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|)) "\\spad{henselFact(m,flag)} returns the factorization of \\spad{m},{} FinalFact is a Record \\spad{s}.\\spad{t}. FinalFact.contp=content \\spad{m},{} FinalFact.factors=List of irreducible factors of \\spad{m} with exponent ,{} if \\spad{flag} =true the polynomial is assumed square free.")) (|factorSquareFree| (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(m)} returns the factorization of \\spad{m} square free polynomial")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(m)} returns the factorization of \\spad{m}"))) NIL @@ -4991,7 +4991,7 @@ NIL (-1265 |x| R) ((|constructor| (NIL "This domain represents univariate polynomials in some symbol over arbitrary (not necessarily commutative) coefficient rings. The representation is sparse in the sense that only non-zero terms are represented.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#2| $) "\\spad{fmecg(p1,e,r,p2)} finds \\spad{X} : \\spad{p1} - \\spad{r} * X**e * \\spad{p2}"))) (((-4472 "*") |has| |#2| (-174)) (-4463 |has| |#2| (-569)) (-4466 |has| |#2| (-375)) (-4468 |has| |#2| (-6 -4468)) (-4465 . T) (-4464 . T) (-4467 . T)) -((|HasCategory| |#2| (QUOTE (-932))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-174))) (-3803 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-569)))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-391))))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-577))))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391)))))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577)))))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#2| (LIST (QUOTE -627) (QUOTE (-549))))) (|HasCategory| |#2| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-577)))) (-3803 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (-3803 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-375))) (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-932)))) (-3803 (|HasCategory| |#2| (QUOTE (-375))) (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-932)))) (-3803 (|HasCategory| |#2| (QUOTE (-375))) (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-932)))) (|HasCategory| |#2| (QUOTE (-375))) (|HasCategory| |#2| (QUOTE (-1177))) (|HasCategory| |#2| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#2| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (QUOTE (-239))) (|HasAttribute| |#2| (QUOTE -4468)) (|HasCategory| |#2| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-932)))) (-3803 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-932)))) (|HasCategory| |#2| (QUOTE (-146))))) +((|HasCategory| |#2| (QUOTE (-932))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-174))) (-2811 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-569)))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -905) (QUOTE (-391)))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-391))))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -905) (QUOTE (-577)))) (|HasCategory| |#2| (LIST (QUOTE -905) (QUOTE (-577))))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391))))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-391)))))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -627) (LIST (QUOTE -911) (QUOTE (-577)))))) (-12 (|HasCategory| (-1107) (LIST (QUOTE -627) (QUOTE (-549)))) (|HasCategory| |#2| (LIST (QUOTE -627) (QUOTE (-549))))) (|HasCategory| |#2| (LIST (QUOTE -654) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (QUOTE (-577)))) (-2811 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| |#2| (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (-2811 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-375))) (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-932)))) (-2811 (|HasCategory| |#2| (QUOTE (-375))) (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-569))) (|HasCategory| |#2| (QUOTE (-932)))) (-2811 (|HasCategory| |#2| (QUOTE (-375))) (|HasCategory| |#2| (QUOTE (-465))) (|HasCategory| |#2| (QUOTE (-932)))) (|HasCategory| |#2| (QUOTE (-375))) (|HasCategory| |#2| (QUOTE (-1177))) (|HasCategory| |#2| (LIST (QUOTE -923) (QUOTE (-1201)))) (|HasCategory| |#2| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (QUOTE (-239))) (|HasAttribute| |#2| (QUOTE -4468)) (|HasCategory| |#2| (QUOTE (-465))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-932)))) (-2811 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-932)))) (|HasCategory| |#2| (QUOTE (-146))))) (-1266 R PR S PS) ((|constructor| (NIL "Mapping from polynomials over \\spad{R} to polynomials over \\spad{S} given a map from \\spad{R} to \\spad{S} assumed to send zero to zero.")) (|map| ((|#4| (|Mapping| |#3| |#1|) |#2|) "\\spad{map(f, p)} takes a function \\spad{f} from \\spad{R} to \\spad{S},{} and applies it to each (non-zero) coefficient of a polynomial \\spad{p} over \\spad{R},{} getting a new polynomial over \\spad{S}. Note: since the map is not applied to zero elements,{} it may map zero to zero."))) NIL @@ -5007,7 +5007,7 @@ NIL (-1269 S |Coef| |Expon|) ((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#2|) $ |#2|) "\\spad{eval(f,a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#3|) "\\spad{extend(f,n)} causes all terms of \\spad{f} of degree \\spad{<=} \\spad{n} to be computed.")) (|approximate| ((|#2| $ |#3|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#3| |#3|) "\\spad{truncate(f,k1,k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#3|) "\\spad{truncate(f,k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#3| $ |#3|) "\\spad{order(f,n) = min(m,n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#3| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#2| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#3|) (|:| |c| |#2|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents."))) NIL -((|HasCategory| |#2| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1137))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -4106) (LIST (|devaluate| |#2|) (QUOTE (-1201)))))) +((|HasCategory| |#2| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1137))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -3603) (LIST (|devaluate| |#2|) (QUOTE (-1201)))))) (-1270 |Coef| |Expon|) ((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#1|) $ |#1|) "\\spad{eval(f,a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#2|) "\\spad{extend(f,n)} causes all terms of \\spad{f} of degree \\spad{<=} \\spad{n} to be computed.")) (|approximate| ((|#1| $ |#2|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#2| |#2|) "\\spad{truncate(f,k1,k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#2|) "\\spad{truncate(f,k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#2| $ |#2|) "\\spad{order(f,n) = min(m,n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#2| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#1| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#2|) (|:| |c| |#1|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents."))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4464 . T) (-4465 . T) (-4467 . T)) @@ -5035,15 +5035,15 @@ NIL (-1276 |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)}."))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4468 |has| |#1| (-375)) (-4462 |has| |#1| (-375)) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577))) (|devaluate| |#1|)))) (|HasCategory| (-420 (-577)) (QUOTE (-1137))) (|HasCategory| |#1| (QUOTE (-375))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-569)))) (-3803 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasSignature| |#1| (LIST (QUOTE -4106) (LIST (|devaluate| |#1|) (QUOTE (-1201)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577)))))) (-3803 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-982))) (|HasCategory| |#1| (QUOTE (-1227))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasSignature| |#1| (LIST (QUOTE -1557) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1201))))) (|HasSignature| |#1| (LIST (QUOTE -2195) (LIST (LIST (QUOTE -660) (QUOTE (-1201))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577)))))) +((|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577))) (|devaluate| |#1|)))) (|HasCategory| (-420 (-577)) (QUOTE (-1137))) (|HasCategory| |#1| (QUOTE (-375))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-569)))) (-2811 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasSignature| |#1| (LIST (QUOTE -3603) (LIST (|devaluate| |#1|) (QUOTE (-1201)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577)))))) (-2811 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-982))) (|HasCategory| |#1| (QUOTE (-1227))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasSignature| |#1| (LIST (QUOTE -4339) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1201))))) (|HasSignature| |#1| (LIST (QUOTE -3206) (LIST (LIST (QUOTE -660) (QUOTE (-1201))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577)))))) (-1277 |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."))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4468 |has| |#1| (-375)) (-4462 |has| |#1| (-375)) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577))) (|devaluate| |#1|)))) (|HasCategory| (-420 (-577)) (QUOTE (-1137))) (|HasCategory| |#1| (QUOTE (-375))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-569)))) (-3803 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasSignature| |#1| (LIST (QUOTE -4106) (LIST (|devaluate| |#1|) (QUOTE (-1201)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577)))))) (-3803 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-982))) (|HasCategory| |#1| (QUOTE (-1227))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasSignature| |#1| (LIST (QUOTE -1557) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1201))))) (|HasSignature| |#1| (LIST (QUOTE -2195) (LIST (LIST (QUOTE -660) (QUOTE (-1201))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (|HasCategory| |#1| (QUOTE (-174))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577))) (|devaluate| |#1|)))) (|HasCategory| (-420 (-577)) (QUOTE (-1137))) (|HasCategory| |#1| (QUOTE (-375))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-569)))) (-2811 (|HasCategory| |#1| (QUOTE (-375))) (|HasCategory| |#1| (QUOTE (-569)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasSignature| |#1| (LIST (QUOTE -3603) (LIST (|devaluate| |#1|) (QUOTE (-1201)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -420) (QUOTE (-577)))))) (-2811 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-982))) (|HasCategory| |#1| (QUOTE (-1227))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasSignature| |#1| (LIST (QUOTE -4339) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1201))))) (|HasSignature| |#1| (LIST (QUOTE -3206) (LIST (LIST (QUOTE -660) (QUOTE (-1201))) (|devaluate| |#1|))))))) (-1278 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))}."))) (((-4472 "*") |has| (-1277 |#2| |#3| |#4|) (-174)) (-4463 |has| (-1277 |#2| |#3| |#4|) (-569)) (-4464 . T) (-4465 . T) (-4467 . T)) -((|HasCategory| (-1277 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-1277 |#2| |#3| |#4|) (QUOTE (-146))) (|HasCategory| (-1277 |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1277 |#2| |#3| |#4|) (QUOTE (-174))) (-3803 (|HasCategory| (-1277 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-1277 |#2| |#3| |#4|) (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| (-1277 |#2| |#3| |#4|) (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-1277 |#2| |#3| |#4|) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| (-1277 |#2| |#3| |#4|) (QUOTE (-375))) (|HasCategory| (-1277 |#2| |#3| |#4|) (QUOTE (-465))) (|HasCategory| (-1277 |#2| |#3| |#4|) (QUOTE (-569)))) +((|HasCategory| (-1277 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-1277 |#2| |#3| |#4|) (QUOTE (-146))) (|HasCategory| (-1277 |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1277 |#2| |#3| |#4|) (QUOTE (-174))) (-2811 (|HasCategory| (-1277 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-1277 |#2| |#3| |#4|) (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577)))))) (|HasCategory| (-1277 |#2| |#3| |#4|) (LIST (QUOTE -1063) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| (-1277 |#2| |#3| |#4|) (LIST (QUOTE -1063) (QUOTE (-577)))) (|HasCategory| (-1277 |#2| |#3| |#4|) (QUOTE (-375))) (|HasCategory| (-1277 |#2| |#3| |#4|) (QUOTE (-465))) (|HasCategory| (-1277 |#2| |#3| |#4|) (QUOTE (-569)))) (-1279 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| $) "\\spad{concat(x,u)} returns aggregate consisting of \\spad{x} followed by the elements of \\spad{u}. Note: if \\axiom{\\spad{v} = concat(\\spad{x},{}\\spad{u})} then \\axiom{\\spad{x} = first \\spad{v}} and \\axiom{\\spad{u} = rest \\spad{v}}.") (($ $ $) "\\spad{concat(u,v)} returns an aggregate \\spad{w} consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: \\axiom{\\spad{v} = rest(\\spad{w},{}\\#a)}."))) NIL @@ -5059,7 +5059,7 @@ NIL (-1282 S |Coef|) ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|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 (-577)))) (|HasCategory| |#2| (QUOTE (-982))) (|HasCategory| |#2| (QUOTE (-1227))) (|HasSignature| |#2| (LIST (QUOTE -2195) (LIST (LIST (QUOTE -660) (QUOTE (-1201))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -1557) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1201))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (QUOTE (-375)))) +((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-577)))) (|HasCategory| |#2| (QUOTE (-982))) (|HasCategory| |#2| (QUOTE (-1227))) (|HasSignature| |#2| (LIST (QUOTE -3206) (LIST (LIST (QUOTE -660) (QUOTE (-1201))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -4339) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1201))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#2| (QUOTE (-375)))) (-1283 |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."))) (((-4472 "*") |has| |#1| (-174)) (-4463 |has| |#1| (-569)) (-4464 . T) (-4465 . T) (-4467 . T)) @@ -5067,12 +5067,12 @@ NIL (-1284 |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))}.}")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) 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T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (-3803 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-787)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-787)) (|devaluate| |#1|)))) (|HasCategory| (-787) (QUOTE (-1137))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-787))))) (|HasSignature| |#1| (LIST (QUOTE -4106) (LIST (|devaluate| |#1|) (QUOTE (-1201)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-787))))) (|HasCategory| |#1| (QUOTE (-375))) (-3803 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-982))) (|HasCategory| |#1| (QUOTE (-1227))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasSignature| |#1| (LIST (QUOTE -1557) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1201))))) (|HasSignature| |#1| (LIST (QUOTE -2195) (LIST (LIST (QUOTE -660) (QUOTE (-1201))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasCategory| |#1| (QUOTE (-569))) (-2811 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-569)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -921) (QUOTE (-1201)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-787)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-787)) (|devaluate| |#1|)))) (|HasCategory| (-787) (QUOTE (-1137))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-787))))) (|HasSignature| |#1| (LIST (QUOTE -3603) (LIST (|devaluate| |#1|) (QUOTE (-1201)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-787))))) (|HasCategory| |#1| (QUOTE (-375))) (-2811 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-577)))) (|HasCategory| |#1| (QUOTE (-982))) (|HasCategory| |#1| (QUOTE (-1227))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -420) (QUOTE (-577))))) (|HasSignature| |#1| (LIST (QUOTE -4339) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1201))))) (|HasSignature| |#1| (LIST (QUOTE -3206) (LIST (LIST (QUOTE -660) (QUOTE (-1201))) (|devaluate| |#1|))))))) (-1285 |Coef| UTS) ((|constructor| (NIL "\\indented{1}{This package provides Taylor series solutions to regular} linear or non-linear ordinary differential equations of arbitrary order.")) (|mpsode| (((|List| |#2|) (|List| |#1|) (|List| (|Mapping| |#2| (|List| |#2|)))) "\\spad{mpsode(r,f)} solves the system of differential equations \\spad{dy[i]/dx =f[i] [x,y[1],y[2],...,y[n]]},{} \\spad{y[i](a) = r[i]} for \\spad{i} in 1..\\spad{n}.")) (|ode| ((|#2| (|Mapping| |#2| (|List| |#2|)) (|List| |#1|)) "\\spad{ode(f,cl)} is the solution to \\spad{y<n>=f(y,y',..,y<n-1>)} such that \\spad{y<i>(a) = cl.i} for \\spad{i} in 1..\\spad{n}.")) (|ode2| ((|#2| (|Mapping| |#2| |#2| |#2|) |#1| |#1|) "\\spad{ode2(f,c0,c1)} is the solution to \\spad{y'' = f(y,y')} such that \\spad{y(a) = c0} and \\spad{y'(a) = c1}.")) (|ode1| ((|#2| (|Mapping| |#2| |#2|) |#1|) "\\spad{ode1(f,c)} is the solution to \\spad{y' = f(y)} such that \\spad{y(a) = c}.")) (|fixedPointExquo| ((|#2| |#2| |#2|) "\\spad{fixedPointExquo(f,g)} computes the exact quotient of \\spad{f} and \\spad{g} using a fixed point computation.")) (|stFuncN| (((|Mapping| (|Stream| |#1|) (|List| (|Stream| |#1|))) (|Mapping| |#2| (|List| |#2|))) "\\spad{stFuncN(f)} is a local function xported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc2| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2| |#2|)) "\\spad{stFunc2(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc1| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2|)) "\\spad{stFunc1(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user."))) NIL NIL -(-1286 -2191 UP L UTS) +(-1286 -1985 UP L UTS) ((|constructor| (NIL "\\spad{RUTSodetools} provides tools to interface with the series \\indented{1}{ODE solver when presented with linear ODEs.}")) (RF2UTS ((|#4| (|Fraction| |#2|)) "\\spad{RF2UTS(f)} converts \\spad{f} to a Taylor series.")) (LODO2FUN (((|Mapping| |#4| (|List| |#4|)) |#3|) "\\spad{LODO2FUN(op)} returns the function to pass to the series ODE solver in order to solve \\spad{op y = 0}.")) (UTS2UP ((|#2| |#4| (|NonNegativeInteger|)) "\\spad{UTS2UP(s, n)} converts the first \\spad{n} terms of \\spad{s} to a univariate polynomial.")) (UP2UTS ((|#4| |#2|) "\\spad{UP2UTS(p)} converts \\spad{p} to a Taylor series."))) NIL ((|HasCategory| |#1| (QUOTE (-569)))) @@ -5099,7 +5099,7 @@ NIL (-1292 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."))) ((-4471 . T) (-4470 . 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(|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 @@ -5132,7 +5132,7 @@ NIL ((|constructor| (NIL "This package implements the Weierstrass preparation theorem \\spad{f} or multivariate power series. weierstrass(\\spad{v},{}\\spad{p}) where \\spad{v} is a variable,{} and \\spad{p} is a TaylorSeries(\\spad{R}) in which the terms of lowest degree \\spad{s} must include c*v**s where \\spad{c} is a constant,{}\\spad{s>0},{} is a list of TaylorSeries coefficients A[\\spad{i}] of the equivalent polynomial A = A[0] + A[1]\\spad{*v} + A[2]*v**2 + ... + A[\\spad{s}-1]*v**(\\spad{s}-1) + v**s such that p=A*B ,{} \\spad{B} being a TaylorSeries of minimum degree 0")) (|qqq| (((|Mapping| (|Stream| (|TaylorSeries| |#1|)) (|Stream| (|TaylorSeries| |#1|))) (|NonNegativeInteger|) (|TaylorSeries| |#1|) (|Stream| (|TaylorSeries| |#1|))) "\\spad{qqq(n,s,st)} is used internally.")) (|weierstrass| (((|List| (|TaylorSeries| |#1|)) (|Symbol|) (|TaylorSeries| |#1|)) "\\spad{weierstrass(v,ts)} where \\spad{v} is a variable and \\spad{ts} is \\indented{1}{a TaylorSeries,{} impements the Weierstrass Preparation} \\indented{1}{Theorem. The result is a list of TaylorSeries that} \\indented{1}{are the coefficients of the equivalent series.}")) (|clikeUniv| (((|Mapping| (|SparseUnivariatePolynomial| (|Polynomial| |#1|)) (|Polynomial| |#1|)) (|Symbol|)) "\\spad{clikeUniv(v)} is used internally.")) (|sts2stst| (((|Stream| (|Stream| (|Polynomial| |#1|))) (|Symbol|) (|Stream| (|Polynomial| |#1|))) "\\spad{sts2stst(v,s)} is used internally.")) (|cfirst| (((|Mapping| (|Stream| (|Polynomial| |#1|)) (|Stream| (|Polynomial| |#1|))) (|NonNegativeInteger|)) "\\spad{cfirst n} is used internally.")) (|crest| (((|Mapping| (|Stream| (|Polynomial| |#1|)) (|Stream| (|Polynomial| |#1|))) (|NonNegativeInteger|)) "\\spad{crest n} is used internally."))) NIL NIL -(-1301 K R UP -2191) +(-1301 K R UP -1985) ((|constructor| (NIL "In this package \\spad{K} is a finite field,{} \\spad{R} is a ring of univariate polynomials over \\spad{K},{} and \\spad{F} is a framed algebra over \\spad{R}. The package provides a function to compute the integral closure of \\spad{R} in the quotient field of \\spad{F} as well as a function to compute a \"local integral basis\" at a specific prime.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) |#2|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the integral closure of \\spad{R} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}."))) NIL NIL @@ -5168,11 +5168,11 @@ NIL ((|constructor| (NIL "This category specifies opeations for polynomials and formal series with non-commutative variables.")) (|varList| (((|List| |#1|) $) "\\spad{varList(x)} returns the list of variables which appear in \\spad{x}.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(fn,x)} returns \\spad{Sum(fn(r_i) w_i)} if \\spad{x} writes \\spad{Sum(r_i w_i)}.")) (|sh| (($ $ (|NonNegativeInteger|)) "\\spad{sh(x,n)} returns the shuffle power of \\spad{x} to the \\spad{n}.") (($ $ $) "\\spad{sh(x,y)} returns the shuffle-product of \\spad{x} by \\spad{y}. This multiplication is associative and commutative.")) (|quasiRegular| (($ $) "\\spad{quasiRegular(x)} return \\spad{x} minus its constant term.")) (|quasiRegular?| (((|Boolean|) $) "\\spad{quasiRegular?(x)} return \\spad{true} if \\spad{constant(x)} is zero.")) (|constant| ((|#2| $) "\\spad{constant(x)} returns the constant term of \\spad{x}.")) (|constant?| (((|Boolean|) $) "\\spad{constant?(x)} returns \\spad{true} if \\spad{x} is constant.")) (|coerce| (($ |#1|) "\\spad{coerce(v)} returns \\spad{v}.")) (|mirror| (($ $) "\\spad{mirror(x)} returns \\spad{Sum(r_i mirror(w_i))} if \\spad{x} writes \\spad{Sum(r_i w_i)}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(x)} returns \\spad{true} if \\spad{x} is a monomial")) (|monom| (($ (|OrderedFreeMonoid| |#1|) |#2|) "\\spad{monom(w,r)} returns the product of the word \\spad{w} by the coefficient \\spad{r}.")) (|rquo| (($ $ $) "\\spad{rquo(x,y)} returns the right simplification of \\spad{x} by \\spad{y}.") (($ $ (|OrderedFreeMonoid| |#1|)) "\\spad{rquo(x,w)} returns the right simplification of \\spad{x} by \\spad{w}.") (($ $ |#1|) "\\spad{rquo(x,v)} returns the right simplification of \\spad{x} by the variable \\spad{v}.")) (|lquo| (($ $ $) "\\spad{lquo(x,y)} returns the left simplification of \\spad{x} by \\spad{y}.") (($ $ (|OrderedFreeMonoid| |#1|)) "\\spad{lquo(x,w)} returns the left simplification of \\spad{x} by the word \\spad{w}.") (($ $ |#1|) "\\spad{lquo(x,v)} returns the left simplification of \\spad{x} by the variable \\spad{v}.")) (|coef| ((|#2| $ $) "\\spad{coef(x,y)} returns scalar product of \\spad{x} by \\spad{y},{} the set of words being regarded as an orthogonal basis.") ((|#2| $ (|OrderedFreeMonoid| |#1|)) "\\spad{coef(x,w)} returns the coefficient of the word \\spad{w} in \\spad{x}.")) (|mindegTerm| (((|Record| (|:| |k| (|OrderedFreeMonoid| |#1|)) (|:| |c| |#2|)) $) "\\spad{mindegTerm(x)} returns the term whose word is \\spad{mindeg(x)}.")) (|mindeg| (((|OrderedFreeMonoid| |#1|) $) "\\spad{mindeg(x)} returns the little word which appears in \\spad{x}. Error if \\spad{x=0}.")) (* (($ $ |#2|) "\\spad{x * r} returns the product of \\spad{x} by \\spad{r}. Usefull if \\spad{R} is a non-commutative Ring.") (($ |#1| $) "\\spad{v * x} returns the product of a variable \\spad{x} by \\spad{x}."))) ((-4463 |has| |#2| (-6 -4463)) (-4465 . T) (-4464 . T) (-4467 . T)) NIL -(-1310 S -2191) +(-1310 S -1985) ((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|NonNegativeInteger|)) "\\spad{Frobenius(a,s)} returns \\spad{a**(q**s)} where \\spad{q} is the size()\\$\\spad{F}.") (($ $) "\\spad{Frobenius(a)} returns \\spad{a ** q} where \\spad{q} is the \\spad{size()\\$F}.")) (|transcendenceDegree| (((|NonNegativeInteger|)) "\\spad{transcendenceDegree()} returns the transcendence degree of the field extension,{} 0 if the extension is algebraic.")) (|extensionDegree| (((|OnePointCompletion| (|PositiveInteger|))) "\\spad{extensionDegree()} returns the degree of the field extension if the extension is algebraic,{} and \\spad{infinity} if it is not.")) (|degree| (((|OnePointCompletion| (|PositiveInteger|)) $) "\\spad{degree(a)} returns the degree of minimal polynomial of an element \\spad{a} if \\spad{a} is algebraic with respect to the ground field \\spad{F},{} and \\spad{infinity} otherwise.")) (|inGroundField?| (((|Boolean|) $) "\\spad{inGroundField?(a)} tests whether an element \\spad{a} is already in the ground field \\spad{F}.")) (|transcendent?| (((|Boolean|) $) "\\spad{transcendent?(a)} tests whether an element \\spad{a} is transcendent with respect to the ground field \\spad{F}.")) (|algebraic?| (((|Boolean|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}."))) NIL ((|HasCategory| |#2| (QUOTE (-380))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148)))) -(-1311 -2191) +(-1311 -1985) ((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|NonNegativeInteger|)) "\\spad{Frobenius(a,s)} returns \\spad{a**(q**s)} where \\spad{q} is the size()\\$\\spad{F}.") (($ $) "\\spad{Frobenius(a)} returns \\spad{a ** q} where \\spad{q} is the \\spad{size()\\$F}.")) (|transcendenceDegree| (((|NonNegativeInteger|)) "\\spad{transcendenceDegree()} returns the transcendence degree of the field extension,{} 0 if the extension is algebraic.")) (|extensionDegree| (((|OnePointCompletion| (|PositiveInteger|))) "\\spad{extensionDegree()} returns the degree of the field extension if the extension is algebraic,{} and \\spad{infinity} if it is not.")) (|degree| (((|OnePointCompletion| (|PositiveInteger|)) $) "\\spad{degree(a)} returns the degree of minimal polynomial of an element \\spad{a} if \\spad{a} is algebraic with respect to the ground field \\spad{F},{} and \\spad{infinity} otherwise.")) (|inGroundField?| (((|Boolean|) $) "\\spad{inGroundField?(a)} tests whether an element \\spad{a} is already in the ground field \\spad{F}.")) (|transcendent?| (((|Boolean|) $) "\\spad{transcendent?(a)} tests whether an element \\spad{a} is transcendent with respect to the ground field \\spad{F}.")) (|algebraic?| (((|Boolean|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}."))) ((-4462 . T) (-4468 . T) (-4463 . T) ((-4472 "*") . T) (-4464 . T) (-4465 . T) (-4467 . T)) NIL diff --git a/src/share/algebra/category.daase b/src/share/algebra/category.daase index ac64b094..464d95b4 100644 --- a/src/share/algebra/category.daase +++ b/src/share/algebra/category.daase @@ -1,15 +1,15 @@ -(205510 . 3487831428) -(((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) ((#0=(-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) #0#) |has| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (-320 (-2 (|:| -2350 |#1|) (|:| -2911 |#2|))))) -((((-577)) . T) (($) -3803 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-569))) (((-420 (-577))) -3803 (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-1063 (-420 (-577))))) ((|#1|) . T)) +(205526 . 3487980650) +(((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) ((#0=(-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) #0#) |has| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (-320 (-2 (|:| -4323 |#1|) (|:| -2438 |#2|))))) +((((-577)) . T) (($) -2811 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-569))) (((-420 (-577))) -2811 (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-1063 (-420 (-577))))) ((|#1|) . T)) (((|#2| |#2|) . T)) ((((-577)) . T)) -((($ $) -3803 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) ((|#2| |#2|) . T) ((#0=(-420 (-577)) #0#) |has| |#2| (-38 (-420 (-577))))) +((($ $) -2811 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) ((|#2| |#2|) . T) ((#0=(-420 (-577)) #0#) |has| |#2| (-38 (-420 (-577))))) ((($) . T)) (((|#1|) . T)) ((($) . T) (((-577)) |has| |#1| (-654 (-577))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) (((|#2|) . T)) -((($) -3803 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) ((|#2|) . T) (((-420 (-577))) |has| |#2| (-38 (-420 (-577))))) +((($) -2811 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) ((|#2|) . T) (((-420 (-577))) |has| |#2| (-38 (-420 (-577))))) (|has| |#1| (-932)) ((((-880)) . T)) ((((-880)) . T)) @@ -23,23 +23,23 @@ ((((-549)) . T) (((-1183)) . T) (((-228)) . T) (((-391)) . T) (((-911 (-391))) . T)) (((|#1|) . T)) ((((-228)) . T) (((-880)) . T)) -(-3803 (|has| |#2| (-809)) (|has| |#2| (-865))) -(-3803 (-12 (|has| |#1| (-809)) (|has| |#2| (-809))) (-12 (|has| |#1| (-865)) (|has| |#2| (-865)))) +(-2811 (|has| |#2| (-809)) (|has| |#2| (-865))) +(-2811 (-12 (|has| |#1| (-809)) (|has| |#2| (-809))) (-12 (|has| |#1| (-865)) (|has| |#2| (-865)))) (((|#1|) . T)) (((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) -(-3803 (|has| |#1| (-21)) (|has| |#1| (-864))) -((($ $) . T) ((#0=(-420 (-577)) #0#) -3803 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1| |#1|) . 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T)) @@ -52,14 +52,14 @@ (((|#1|) . T) ((|#2|) . T)) ((((-1206)) . T)) (((|#1|) . T) (((-577)) |has| |#1| (-1063 (-577))) (((-420 (-577))) |has| |#1| (-1063 (-420 (-577))))) -(-3803 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) -(-3803 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) -(((|#2| (-495 (-2003 |#1|) (-787))) . T)) -((((-1201)) -3803 (|has| (-420 |#2|) (-921 (-1201))) (|has| (-420 |#2|) (-923 (-1201))))) +(-2811 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) +(-2811 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) +(((|#2| (-495 (-3501 |#1|) (-787))) . T)) +((((-1201)) -2811 (|has| (-420 |#2|) (-921 (-1201))) (|has| (-420 |#2|) (-923 (-1201))))) (((|#1| (-544 (-1201))) . T)) ((((-1183)) . T) (((-981 (-130))) . T) (((-880)) . T)) ((((-880)) . T)) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) (((#0=(-888 |#1|) #0#) . T) ((#1=(-420 (-577)) #1#) . T) (($ $) . T)) (|has| |#4| (-380)) (|has| |#3| (-380)) @@ -75,14 +75,14 @@ (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-569)) -((((-577)) . T) (((-420 (-577))) -3803 (|has| |#2| (-38 (-420 (-577)))) (|has| |#2| (-1063 (-420 (-577))))) ((|#2|) . T) (($) -3803 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) (((-882 |#1|)) . T)) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-569))) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-569))) -((((-2 (|:| -2522 |#1|) (|:| -4150 |#2|))) . T)) +((((-577)) . T) (((-420 (-577))) -2811 (|has| |#2| (-38 (-420 (-577)))) (|has| |#2| (-1063 (-420 (-577))))) ((|#2|) . T) (($) -2811 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) (((-882 |#1|)) . T)) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-569))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-569))) +((((-2 (|:| -3251 |#1|) (|:| -2860 |#2|))) . T)) ((($) . T)) ((((-880)) |has| |#1| (-626 (-880))) ((|#1|) . T)) -((((-577)) . T) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1063 (-420 (-577))))) ((|#1|) . T) (($) -3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) (((-1201)) . T)) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-865)) (|has| |#1| (-1125)))) +((((-577)) . T) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1063 (-420 (-577))))) ((|#1|) . T) (($) -2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) (((-1201)) . T)) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-865)) (|has| |#1| (-1125)))) ((((-549)) |has| |#1| (-627 (-549)))) ((((-1201)) . T)) (((|#1|) . T)) @@ -103,12 +103,12 @@ ((((-880)) . T)) (((|#1| |#2|) . T)) (((|#1|) . T)) -(((#0=(-420 (-577)) #0#) |has| |#2| (-38 (-420 (-577)))) ((|#2| |#2|) . T) (($ $) -3803 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932)))) +(((#0=(-420 (-577)) #0#) |has| |#2| (-38 (-420 (-577)))) ((|#2| |#2|) . T) (($ $) -2811 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932)))) (|has| |#1| (-1125)) (((|#1|) . T)) ((((-117 |#1|)) . T) (($) . T) (((-420 (-577))) . T)) -((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -3803 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932)))) -((($) -3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -2811 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932)))) +((($) -2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) (((|#1|) . T) (((-420 (-577))) . T) (($) . T)) ((((-117 |#1|)) . T) (((-420 (-577))) . T) (($) . T)) (((|#1|) . T) (((-420 (-577))) . T) (($) . T)) @@ -116,14 +116,14 @@ ((((-420 (-577))) . T) (($) . T) (((-577)) . T)) ((($) . T) (((-577)) . T) (((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T)) (((|#2|) . T) (((-577)) . T) ((|#6|) . T)) -((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T) (($) -3803 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932)))) +((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T) (($) -2811 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932)))) ((($) . T)) ((($) . T)) (((|#2|) . T)) (((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) (((-577)) . T) (($) . T)) ((((-577)) . T) (($) . T) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) -((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -3803 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932)))) -(((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))) ((|#1| |#1|) . T) (($ $) -3803 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932)))) +((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2811 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932)))) +(((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))) ((|#1| |#1|) . T) (($ $) -2811 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932)))) ((($ $) . T)) ((($) . T)) ((((-577)) . T) (($) . T) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) @@ -132,30 +132,30 @@ (|has| |#1| (-380)) (((|#1|) . T)) ((((-880)) . T)) -((((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-1284 |#1| |#2| |#3|)) |has| |#1| (-375)) (($) . T) ((|#1|) . T)) +((((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-1284 |#1| |#2| |#3|)) |has| |#1| (-375)) (($) . T) ((|#1|) . T)) (((|#1|) . T)) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) -(((|#1|) . 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T)) -(-3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) -(-3803 (|has| |#1| (-865)) (|has| |#1| (-1125))) +(-2811 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) +(-2811 (|has| |#1| (-865)) (|has| |#1| (-1125))) (|has| |#1| (-1125)) -(-3803 (|has| |#1| (-865)) (|has| |#1| (-1125))) +(-2811 (|has| |#1| (-865)) (|has| |#1| (-1125))) (|has| |#1| (-1125)) -(-3803 (|has| |#1| (-865)) (|has| |#1| (-1125))) +(-2811 (|has| |#1| (-865)) (|has| |#1| (-1125))) (|has| |#1| (-864)) (((|#1| |#1|) . T)) ((($) . T) (((-420 (-577))) . T)) @@ -170,12 +170,12 @@ (|has| |#3| (-809)) (|has| |#3| (-809)) (((|#1| |#2|) . T)) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-361))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-361))) ((((-1206)) . T)) (((|#1| |#2|) . T)) (((|#2| |#2|) -12 (|has| |#1| (-375)) (|has| |#2| (-320 |#2|))) (((-1201) |#2|) -12 (|has| |#1| (-375)) (|has| |#2| (-527 (-1201) |#2|)))) -(-3803 (|has| |#1| (-102)) (|has| |#1| (-1125))) -(-3803 (|has| |#1| (-102)) (|has| |#1| (-1125))) +(-2811 (|has| |#1| (-102)) (|has| |#1| (-1125))) +(-2811 (|has| |#1| (-102)) (|has| |#1| (-1125))) ((((-577)) . T) (((-420 (-577))) . T)) (((|#1| (-1201) (-1113 (-1201)) (-544 (-1113 (-1201)))) . T)) ((((-577) |#1|) . T)) @@ -195,29 +195,29 @@ ((((-1183) |#1|) . T)) ((((-1259 (-577)) $) . T) (((-577) (-130)) . T)) (((|#1|) . T)) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) (((|#3| (-787)) . T)) (|has| |#1| (-148)) (|has| |#1| (-146)) ((($) . T) (((-420 (-577))) . T)) ((($) . T)) ((($) . 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T)) ((((-420 (-577))) . T) (($) . T)) @@ -228,7 +228,7 @@ (((|#1|) . T)) (|has| |#2| (-375)) ((((-1259 (-577)) $) . T) (((-577) |#1|) . T)) -((($) -3803 (|has| (-420 |#2|) (-239)) (|has| (-420 |#2|) (-238)))) +((($) -2811 (|has| (-420 |#2|) (-239)) (|has| (-420 |#2|) (-238)))) ((($) . T) (((-577)) . T) (((-420 (-577))) . T)) (((|#1| |#2|) . T)) ((((-880)) . T)) @@ -241,13 +241,13 @@ ((((-880)) . T)) ((((-880)) . T)) (((|#1| |#1|) . T)) -(((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))) ((|#1| |#1|) . T) (($ $) -3803 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932)))) -((($ $) -3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577))))) +(((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))) ((|#1| |#1|) . 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T) (($) -2811 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932)))) +((($) -2811 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +(((|#2|) -2811 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1074))) (($) |has| |#2| (-1074)) (((-577)) -12 (|has| |#2| (-654 (-577))) (|has| |#2| (-1074)))) ((((-880)) . T)) ((((-880)) . T)) ((((-880)) . T)) @@ -258,10 +258,10 @@ ((((-171 (-228))) |has| |#1| (-1047)) (((-171 (-391))) |has| |#1| (-1047)) (((-549)) |has| |#1| (-627 (-549))) (((-1197 |#1|)) . T) (((-911 (-577))) |has| |#1| (-627 (-911 (-577)))) (((-911 (-391))) |has| |#1| (-627 (-911 (-391))))) (((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) (((|#1|) . T)) -(-3803 (|has| |#1| (-21)) (|has| |#1| (-864))) -(-3803 (|has| |#1| (-21)) (|has| |#1| (-864))) -((((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -3803 (|has| |#1| (-375)) (|has| |#1| (-569))) ((|#2|) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174))) -(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -3803 (|has| |#1| (-375)) (|has| |#1| (-569)))) +(-2811 (|has| |#1| (-21)) (|has| |#1| (-864))) +(-2811 (|has| |#1| (-21)) (|has| |#1| (-864))) +((((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2811 (|has| |#1| (-375)) (|has| |#1| (-569))) ((|#2|) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174))) +(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2811 (|has| |#1| (-375)) (|has| |#1| (-569)))) (|has| |#1| (-375)) ((((-880)) . T)) ((($) . T)) @@ -269,7 +269,7 @@ ((((-130)) . T)) (-12 (|has| |#4| (-239)) (|has| |#4| (-1074))) (-12 (|has| |#3| (-239)) (|has| |#3| (-1074))) -((($) -3803 (|has| |#2| (-239)) (|has| |#2| (-238)))) +((($) -2811 (|has| |#2| (-239)) (|has| |#2| (-238)))) (|has| |#4| (-1074)) (|has| |#3| (-1074)) ((((-880)) . T) (((-1206)) . T)) @@ -280,45 +280,45 @@ (((|#1|) . T)) ((((-420 (-577))) |has| |#1| (-1063 (-420 (-577)))) (((-577)) |has| |#1| (-1063 (-577))) ((|#1|) . T)) (((|#1|) . T) (((-577)) |has| |#1| (-654 (-577)))) -(((|#2|) . T) (((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) -(((|#1|) . T) (((-2 (|:| -2350 (-1183)) (|:| -2911 |#1|))) . T)) +(((|#2|) . T) (((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) +(((|#1|) . T) (((-2 (|:| -4323 (-1183)) (|:| -2438 |#1|))) . 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T)) -(((|#1|) . T) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) . T)) +((((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-1199 |#1| |#2| |#3|)) |has| |#1| (-375)) (($) . T) ((|#1|) . T)) +(((|#1|) . T) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) . T)) (((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) (($) . T)) -(((|#4| |#4|) -3803 (|has| |#4| (-174)) (|has| |#4| (-375)) (|has| |#4| (-1074)))) -(((|#3| |#3|) -3803 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-1074)))) +(((|#4| |#4|) -2811 (|has| |#4| (-174)) (|has| |#4| (-375)) (|has| |#4| (-1074)))) +(((|#3| |#3|) -2811 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-1074)))) (((|#2|) . T)) (((|#1|) . T)) ((((-549)) |has| |#2| (-627 (-549))) (((-911 (-391))) |has| |#2| (-627 (-911 (-391)))) (((-911 (-577))) |has| |#2| (-627 (-911 (-577))))) ((((-880)) . T)) (((|#1| |#2| |#3| |#4|) . T)) -((((-2 (|:| -2522 |#1|) (|:| -4150 |#2|))) . T) (((-880)) . T)) +((((-2 (|:| -3251 |#1|) (|:| -2860 |#2|))) . T) (((-880)) . T)) ((((-549)) |has| |#1| (-627 (-549))) (((-911 (-391))) |has| |#1| (-627 (-911 (-391)))) (((-911 (-577))) |has| |#1| (-627 (-911 (-577))))) -(((|#4|) -3803 (|has| |#4| (-174)) (|has| |#4| (-375)) (|has| |#4| (-1074)))) -(((|#3|) -3803 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-1074)))) -((((-2 (|:| -2522 |#1|) (|:| -4150 |#2|))) . T)) +(((|#4|) -2811 (|has| |#4| (-174)) (|has| |#4| (-375)) (|has| |#4| (-1074)))) +(((|#3|) -2811 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-1074)))) +((((-2 (|:| -3251 |#1|) (|:| -2860 |#2|))) . T)) ((((-880)) . T)) ((((-880)) . T)) ((((-549)) . T) (((-577)) . T) (((-911 (-577))) . T) (((-391)) . T) (((-228)) . T)) @@ -326,15 +326,15 @@ (((|#1|) . T) (((-577)) |has| |#1| (-1063 (-577))) (((-420 (-577))) |has| |#1| (-1063 (-420 (-577))))) ((($) . 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T)) @@ -349,15 +349,15 @@ (|has| |#1| (-1125)) ((((-933 |#1|)) . T) (($) . T) (((-420 (-577))) . T)) (((|#1|) . T)) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-865)) (|has| |#1| (-1125)))) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-865)) (|has| |#1| (-1125)))) ((((-549)) |has| |#1| (-627 (-549)))) ((((-880)) . T) (((-1206)) . T)) -((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -3803 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932)))) +((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -2811 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932)))) ((((-1206)) . T)) -((($) -3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) -((($) -3803 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) (|has| |#1| (-239)) -((($) -3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) (((|#1| (-544 (-834 (-1201)))) . T)) (((|#1| (-996)) . T)) ((((-577)) . T) ((|#2|) . T)) @@ -369,7 +369,7 @@ (((|#1|) . T)) (((|#2| |#2|) . T)) (|has| |#1| (-1177)) -((((-2 (|:| -2350 (-1183)) (|:| -2911 |#1|))) . T)) +((((-2 (|:| -4323 (-1183)) (|:| -2438 |#1|))) . T)) (|has| (-1278 |#1| |#2| |#3| |#4|) (-146)) (|has| (-1278 |#1| |#2| |#3| |#4|) (-148)) (|has| |#1| (-146)) @@ -381,28 +381,28 @@ (((|#2|) . T)) (((|#1|) . T)) (((|#2|) . T) (((-577)) |has| |#2| (-654 (-577)))) -((((-1150 |#1| (-1201))) . T) (((-577)) . T) (((-834 (-1201))) . T) (($) -3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1063 (-420 (-577))))) (((-1201)) . T)) +((((-1150 |#1| (-1201))) . T) (((-577)) . T) (((-834 (-1201))) . T) (($) -2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1063 (-420 (-577))))) (((-1201)) . 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T)) +(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125))) ((#0=(-2 (|:| -4323 (-1183)) (|:| -2438 |#1|)) #0#) |has| (-2 (|:| -4323 (-1183)) (|:| -2438 |#1|)) (-320 (-2 (|:| -4323 (-1183)) (|:| -2438 |#1|))))) ((((-880)) . T)) ((((-577) |#1|) . T)) ((((-549)) -12 (|has| |#1| (-627 (-549))) (|has| |#2| (-627 (-549)))) (((-911 (-391))) -12 (|has| |#1| (-627 (-911 (-391)))) (|has| |#2| (-627 (-911 (-391))))) (((-911 (-577))) -12 (|has| |#1| (-627 (-911 (-577)))) (|has| |#2| (-627 (-911 (-577)))))) ((($) . T)) ((((-880)) . T)) -((($ $) -3803 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577))))) +((($ $) -2811 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577))))) ((((-880)) . T)) ((($) . T)) ((($) . T)) ((($) . T)) -((($) -3803 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) ((((-880)) . T)) ((((-880)) . T)) (|has| (-1277 |#2| |#3| |#4|) (-148)) @@ -415,18 +415,18 @@ (((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) -(-3803 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074))) +(-2811 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074))) (((|#1|) . T)) ((($) . T)) ((((-577) |#1|) . T)) (((|#2|) |has| |#2| (-174))) (((|#1|) . T)) (((|#1|) |has| |#1| (-174))) -(-3803 (|has| |#1| (-21)) (|has| |#1| (-864))) +(-2811 (|has| |#1| (-21)) (|has| |#1| (-864))) ((((-880)) |has| |#1| (-1125))) -((($) -3803 (|has| |#1| (-239)) (|has| |#1| (-238)))) -(-3803 (|has| |#1| (-486)) (|has| |#1| (-742)) (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074)) (|has| |#1| (-1137))) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-361))) +((($) -2811 (|has| |#1| (-239)) (|has| |#1| (-238)))) +(-2811 (|has| |#1| (-486)) (|has| |#1| (-742)) (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074)) (|has| |#1| (-1137))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-361))) ((((-933 |#1|)) . T)) ((((-420 |#2|) |#3|) . T)) (|has| |#1| (-15 * (|#1| (-577) |#1|))) @@ -437,7 +437,7 @@ ((((-880)) . T)) ((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-569))) (|has| |#1| (-375)) -(-3803 (-12 (|has| (-1284 |#1| |#2| |#3|) (-239)) (|has| |#1| (-375))) (|has| |#1| (-15 * (|#1| (-577) |#1|)))) +(-2811 (-12 (|has| (-1284 |#1| |#2| |#3|) (-239)) (|has| |#1| (-375))) (|has| |#1| (-15 * (|#1| (-577) |#1|)))) (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-375)) (|has| |#1| (-15 * (|#1| (-787) |#1|))) @@ -451,23 +451,23 @@ ((((-1259 (-577)) $) . T) (((-577) |#1|) . T)) ((((-880)) . T)) (((|#2|) . T)) -(-3803 (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) +(-2811 (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) ((((-577)) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-569))) ((($) |has| |#1| (-569)) (((-577)) . T)) (|has| |#2| (-809)) (|has| |#2| (-809)) -((((-1284 |#1| |#2| |#3|)) . T) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -3803 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-577)) . T) ((|#1|) |has| |#1| (-174))) -((((-1288 |#2|)) . T) (((-1284 |#1| |#2| |#3|)) . T) (((-1256 |#1| |#2| |#3|)) . T) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-577)) . T) (($) -3803 (|has| |#1| (-375)) (|has| |#1| (-569)))) +((((-1284 |#1| |#2| |#3|)) . T) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2811 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-577)) . T) ((|#1|) |has| |#1| (-174))) +((((-1288 |#2|)) . T) (((-1284 |#1| |#2| |#3|)) . T) (((-1256 |#1| |#2| |#3|)) . T) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-577)) . T) (($) -2811 (|has| |#1| (-375)) (|has| |#1| (-569)))) ((($) |has| |#1| (-569)) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) (((-577)) . T)) (((|#1|) . T)) ((((-1201)) -12 (|has| |#3| (-921 (-1201))) (|has| |#3| (-1074)))) (((|#1|) . T)) (((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-836))) -(-3803 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-569))) -(((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))) ((|#1| |#1|) . T) (($ $) -3803 (|has| |#1| (-174)) (|has| |#1| (-569)))) +(-2811 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-569))) +(((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))) ((|#1| |#1|) . T) (($ $) -2811 (|has| |#1| (-174)) (|has| |#1| (-569)))) ((($ $) |has| |#1| (-569)) ((|#1| |#1|) . T)) -((($ (-1201)) -3803 (|has| (-420 |#2|) (-921 (-1201))) (|has| (-420 |#2|) (-923 (-1201))))) +((($ (-1201)) -2811 (|has| (-420 |#2|) (-921 (-1201))) (|has| (-420 |#2|) (-923 (-1201))))) (((#0=(-715) (-1197 #0#)) . T)) ((((-594 |#1|)) . T) (((-420 (-577))) . T) (($) . T)) ((((-420 (-577))) . T) (($) . T)) @@ -475,18 +475,18 @@ ((((-880)) . T) (((-1292 |#3|)) . T)) ((((-594 |#1|)) . T) (($) . T) (((-420 (-577))) . T)) ((($) . T) (((-420 (-577))) . T)) -((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -3803 (|has| |#1| (-174)) (|has| |#1| (-569)))) +((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2811 (|has| |#1| (-174)) (|has| |#1| (-569)))) ((($) |has| |#1| (-569)) ((|#1|) . T)) ((((-880)) . T)) ((($) . T) (((-577)) . T) (((-420 (-577))) . T)) ((($) . T)) -((($ $) -3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((#0=(-420 (-577)) #0#) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((#1=(-1284 |#1| |#2| |#3|) #1#) |has| |#1| (-375)) ((|#1| |#1|) . T)) -(((|#1| |#1|) . T) (($ $) -3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((#0=(-420 (-577)) #0#) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375)))) -((($) -3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-1284 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) . T)) -(((|#1|) . T) (($) -3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375)))) +((($ $) -2811 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((#0=(-420 (-577)) #0#) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((#1=(-1284 |#1| |#2| |#3|) #1#) |has| |#1| (-375)) ((|#1| |#1|) . T)) +(((|#1| |#1|) . T) (($ $) -2811 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((#0=(-420 (-577)) #0#) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375)))) +((($) -2811 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-1284 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) . T)) +(((|#1|) . T) (($) -2811 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375)))) (((|#3|) |has| |#3| (-1074))) -((($) -3803 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) -((($ $) -3803 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($ $) -2811 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577))))) (|has| (-1119 |#1|) (-1125)) (((|#2| (-835 |#1|)) . T)) ((($) . T) (((-577)) . T) (((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T)) @@ -494,20 +494,20 @@ (((|#1|) . T) (((-420 (-577))) . T) (((-577)) . T) (($) . T)) (((|#1|) . T) (((-420 (-577))) . T) (((-577)) . T) (($) . T)) (((|#1|) . 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T)) -((($) -3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) -((($) -3803 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) -((($) -3803 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) -((($) -3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) (((|#1|) . T)) -((($) -3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) ((((-420 $) (-420 $)) |has| |#1| (-569)) (($ $) . T) ((|#1| |#1|) . T)) -((($) -3803 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) (((#0=(-1107) |#2|) . T) ((#0# $) . T) (($ $) . T)) ((((-880)) . T)) ((((-933 |#1|)) . T)) @@ -516,22 +516,22 @@ ((((-246 |#1| |#2|) |#2|) . T)) ((((-880)) . T)) (((|#3|) |has| |#3| (-1125)) (((-577)) -12 (|has| |#3| (-1063 (-577))) (|has| |#3| (-1125))) (((-420 (-577))) -12 (|has| |#3| (-1063 (-420 (-577)))) (|has| |#3| (-1125)))) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) (((|#1|) . T)) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-865)) (|has| |#1| (-1125)))) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-865)) (|has| |#1| (-1125)))) ((((-549)) |has| |#1| (-627 (-549)))) (((|#1|) |has| |#1| (-174))) -((((-2 (|:| -2350 (-1201)) (|:| -2911 (-52)))) . T)) +((((-2 (|:| -4323 (-1201)) (|:| -2438 (-52)))) . T)) (|has| |#1| (-375)) ((((-1206)) . T)) (((|#1|) . T)) -(-3803 (|has| |#1| (-21)) (|has| |#1| (-864))) +(-2811 (|has| |#1| (-21)) (|has| |#1| (-864))) ((($) . T)) ((((-1201) |#1|) |has| |#1| (-527 (-1201) |#1|)) ((|#1| |#1|) |has| |#1| (-320 |#1|))) (|has| |#2| (-836)) (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-864)) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) (((|#1| |#2|) . T)) (((|#1| |#2| |#3| (-544 |#3|)) . T)) ((((-880)) . T)) @@ -540,15 +540,15 @@ (|has| |#1| (-380)) ((((-420 (-577))) . T)) (((|#1|) . T)) -(-3803 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) +(-2811 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) ((((-420 (-577))) . T)) ((((-1183) |#1|) . T)) (|has| |#1| (-380)) ((((-577)) . T)) ((((-577)) . T)) (((|#1|) . T) (((-577)) . T)) -(-3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) -(-3803 (|has| |#1| (-865)) (|has| |#1| (-1125))) +(-2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) +(-2811 (|has| |#1| (-865)) (|has| |#1| (-1125))) ((((-880)) . T)) (((|#1|) . T) (((-420 (-577))) . T) (((-577)) . T) (($) . T)) ((((-1201)) -12 (|has| |#1| (-375)) (|has| |#1| (-921 (-1201))))) @@ -562,12 +562,12 @@ ((((-577) |#3|) . T)) (((|#1|) . T) (((-577)) |has| |#1| (-654 (-577)))) (|has| |#2| (-1074)) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) -(-3803 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) +(-2811 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) ((((-880)) . T)) ((((-1278 |#1| |#2| |#3| |#4|)) . T)) ((((-420 (-577))) . T) (((-577)) . T)) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) (((|#1| |#1|) . T)) (((|#1|) . T)) (((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) @@ -576,9 +576,9 @@ ((($) . T) (((-577)) . T) (((-420 (-577))) . T)) ((((-577)) . T)) ((((-577)) . T)) -((($) . T) (((-577)) . 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T)) @@ -840,8 +840,8 @@ (|has| |#3| (-1074)) (|has| |#3| (-809)) (|has| |#3| (-809)) -((((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -3803 (|has| |#1| (-375)) (|has| |#1| (-569))) ((|#2|) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174))) -(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -3803 (|has| |#1| (-375)) (|has| |#1| (-569)))) +((((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2811 (|has| |#1| (-375)) (|has| |#1| (-569))) ((|#2|) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174))) +(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2811 (|has| |#1| (-375)) (|has| |#1| (-569)))) (((|#2|) . T)) ((((-880)) . T)) ((((-880)) . T)) @@ -855,37 +855,37 @@ ((((-420 (-577))) . T) (($) . T)) (((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) ((($) . T) (((-420 (-577))) . 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T)) -(-3803 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) +(-2811 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((((-577)) . T) (($) . T) (((-420 (-577))) . T)) ((((-577)) . T) (($) . T) (((-420 (-577))) . T)) (((|#2|) . T)) @@ -942,7 +942,7 @@ ((((-660 |#1|)) . T)) ((((-880)) . T)) ((((-549)) |has| |#1| (-627 (-549)))) -(-3803 (|has| |#1| (-865)) (|has| |#1| (-1125))) +(-2811 (|has| |#1| (-865)) (|has| |#1| (-1125))) (((|#2|) |has| |#2| (-320 |#2|))) (((#0=(-577) #0#) . T) ((#1=(-420 (-577)) #1#) . T) (($ $) . T)) (((|#1|) . T)) @@ -953,14 +953,14 @@ ((($) . T) (((-577)) . T) (((-420 (-577))) . T)) (|has| |#2| (-380)) (((#0=(-577) #0#) . T) ((#1=(-420 (-577)) #1#) . T) (($ $) . T)) -(-3803 (|has| |#1| (-102)) (|has| |#1| (-865)) (|has| |#1| (-1125))) +(-2811 (|has| |#1| (-102)) (|has| |#1| (-865)) (|has| |#1| (-1125))) (((|#1|) . T) (((-420 (-577))) . T) (($) . T)) (((|#1|) . T) (((-420 (-577))) . T) (($) . 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T)) ((((-549)) |has| |#1| (-627 (-549)))) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) -((($) . T) (((-420 (-577))) -3803 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T) (((-577)) |has| |#1| (-654 (-577)))) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) +((($) . T) (((-420 (-577))) -2811 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T) (((-577)) |has| |#1| (-654 (-577)))) ((((-880)) . T)) ((((-1199 |#1| |#2| |#3|) $) -12 (|has| (-1199 |#1| |#2| |#3|) (-297 (-1199 |#1| |#2| |#3|) (-1199 |#1| |#2| |#3|))) (|has| |#1| (-375))) (($ $) . T) (((-577) |#1|) . T)) ((($ $) . T) (((-420 (-577)) |#1|) . T)) @@ -981,7 +981,7 @@ (((|#1|) . T)) (((|#1|) . T)) ((((-577)) . T) (($) . T)) -((($) -3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) ((($) . T) (((-577)) . T) ((|#2|) . T)) ((((-577)) . T) (($) . T) ((|#2|) . T) (((-420 (-577))) |has| |#2| (-38 (-420 (-577))))) ((((-420 (-577))) . T) (((-577)) . T)) @@ -990,29 +990,29 @@ (((|#1|) . T)) ((((-112)) . T)) (((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) -(-3803 (|has| |#1| (-21)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-569)) (|has| |#1| (-1074))) +(-2811 (|has| |#1| (-21)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-569)) (|has| |#1| (-1074))) ((((-112)) . T)) ((((-549)) |has| |#1| (-627 (-549))) (((-228)) . #0=(|has| |#1| (-1047))) (((-391)) . #0#)) ((((-880)) . T)) (((|#1|) . 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T)) (|has| |#1| (-932)) -(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -3803 (|has| |#1| (-375)) (|has| |#1| (-569)))) +(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2811 (|has| |#1| (-375)) (|has| |#1| (-569)))) (((|#1|) . T)) (|has| |#1| (-1125)) ((((-880)) . T)) -(-3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) -(-3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) -(-3803 (|has| |#1| (-174)) (|has| |#1| (-569))) +(-2811 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) +(-2811 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) +(-2811 (|has| |#1| (-174)) (|has| |#1| (-569))) ((((-880)) . T)) ((((-880)) . T)) ((((-880)) . T)) @@ -1025,7 +1025,7 @@ ((((-1206)) . T) (((-880)) . T)) ((((-1206)) . T)) ((((-880)) . T)) -(-3803 (|has| |#1| (-102)) (|has| |#1| (-1125))) +(-2811 (|has| |#1| (-102)) (|has| |#1| (-1125))) (((|#1| (-996)) . T)) (((|#1| |#1|) . T)) ((($) . T)) @@ -1041,23 +1041,23 @@ (((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) (-12 (|has| |#1| (-809)) (|has| |#2| (-809))) (-12 (|has| |#1| (-809)) (|has| |#2| (-809))) -(-3803 (-12 (|has| |#1| (-486)) (|has| |#2| (-486))) (-12 (|has| |#1| (-742)) (|has| |#2| (-742)))) +(-2811 (-12 (|has| |#1| (-486)) (|has| |#2| (-486))) (-12 (|has| |#1| (-742)) (|has| |#2| (-742)))) (((|#1| |#2|) . T)) (((|#1|) |has| |#1| (-174)) ((|#4|) . T) (((-577)) . T)) (((|#2|) |has| |#2| (-174))) (((|#1|) |has| |#1| (-174))) ((((-880)) . T)) -(-3803 (|has| |#1| (-239)) (|has| |#1| (-238))) +(-2811 (|has| |#1| (-239)) (|has| |#1| (-238))) (|has| |#1| (-361)) (((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) ((((-420 (-577))) . T) (($) . T)) (((|#2|) . T) (($) . T) (((-420 (-577))) . T)) -((($) . T) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) . T)) +((($) . T) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) . T)) (|has| |#1| (-844)) ((((-420 (-577))) |has| |#1| (-1063 (-420 (-577)))) (((-577)) |has| |#1| (-1063 (-577))) ((|#1|) . T)) -(-3803 (|has| |#1| (-102)) (|has| |#1| (-1125))) +(-2811 (|has| |#1| (-102)) (|has| |#1| (-1125))) (((|#1| $) |has| |#1| (-297 |#1| |#1|))) ((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-569))) ((($) |has| |#1| (-569))) @@ -1065,49 +1065,49 @@ (((|#4|) |has| |#4| (-1125))) (((|#3|) |has| |#3| (-1125))) (|has| |#3| (-380)) -((($) |has| |#1| (-569)) ((|#1|) . T) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1063 (-420 (-577))))) (((-577)) . T)) +((($) |has| |#1| (-569)) ((|#1|) . T) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1063 (-420 (-577))))) (((-577)) . T)) ((((-880)) . 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T)) -(-3803 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-569)) (|has| |#1| (-1074))) +(-2811 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-569)) (|has| |#1| (-1074))) (((|#1|) |has| |#1| (-174))) (|has| $ (-148)) (|has| $ (-148)) ((((-1206)) . T)) (((|#1|) |has| |#1| (-174))) -(-3803 (|has| |#1| (-102)) (|has| |#1| (-1125))) +(-2811 (|has| |#1| (-102)) (|has| |#1| (-1125))) ((((-880)) . T)) (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-38 (-420 (-577)))) -(-3803 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-486)) (|has| |#1| (-569)) (|has| |#1| (-1074)) (|has| |#1| (-1137))) +(-2811 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-486)) (|has| |#1| (-569)) (|has| |#1| (-1074)) (|has| |#1| (-1137))) ((($ $) |has| |#1| (-297 $ $)) ((|#1| $) |has| |#1| (-297 |#1| |#1|))) (((|#1| (-420 (-577))) . T)) (((|#1|) . T)) @@ -1116,8 +1116,8 @@ (((|#1|) . T)) ((((-1201)) . T)) (|has| |#1| (-569)) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-569))) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-569))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-569))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-569))) (|has| |#1| (-569)) (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-38 (-420 (-577)))) @@ -1129,7 +1129,7 @@ (|has| |#1| (-148)) (|has| |#1| (-146)) (|has| |#1| (-148)) -(((|#2| (-246 (-2003 |#1|) (-787)) (-882 |#1|)) . T)) +(((|#2| (-246 (-3501 |#1|) (-787)) (-882 |#1|)) . T)) (((|#1| (-544 |#3|) |#3|) . T)) (|has| |#1| (-146)) (((#0=(-420 (-577)) #0#) |has| |#2| (-375)) (($ $) . T)) @@ -1143,12 +1143,12 @@ (|has| |#1| (-146)) ((((-420 (-577))) |has| |#2| (-375)) (($) . T)) (((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) -(-3803 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) -(-3803 (|has| |#1| (-361)) (|has| |#1| (-380))) +(-2811 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) +(-2811 (|has| |#1| (-361)) (|has| |#1| (-380))) ((((-1167 |#2| |#1|)) . T) ((|#1|) . T)) (((|#1| |#2|) . T)) (-12 (|has| |#2| (-239)) (|has| |#2| (-1074))) -(((|#2|) . T) (((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +(((|#2|) . T) (((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) (|has| |#3| (-809)) (|has| |#3| (-809)) ((((-880)) . T)) @@ -1176,18 +1176,18 @@ ((((-880)) . T)) ((((-880)) . T)) (((|#1| |#2|) . T)) -((((-1201)) -3803 (|has| |#2| (-921 (-1201))) (|has| |#2| (-923 (-1201)))) (((-1107)) . T)) +((((-1201)) -2811 (|has| |#2| (-921 (-1201))) (|has| |#2| (-923 (-1201)))) (((-1107)) . T)) (((|#1|) . T)) (((|#3|) . T) (((-625 $)) . T)) (((|#1| (-420 (-577))) . T)) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) (((|#1| |#2|) . T)) (((|#1|) . T) (($) . T)) (((|#1|) . T)) (((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) ((($ (-1288 |#2|)) . T) (($ (-1201)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-921 (-1201))))) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) -((((-577)) -3803 (-12 (|has| |#2| (-1063 (-577))) (|has| |#2| (-1125))) (|has| |#2| (-1074))) ((|#2|) |has| |#2| (-1125)) (((-420 (-577))) -12 (|has| |#2| (-1063 (-420 (-577)))) (|has| |#2| (-1125)))) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) +((((-577)) -2811 (-12 (|has| |#2| (-1063 (-577))) (|has| |#2| (-1125))) (|has| |#2| (-1074))) ((|#2|) |has| |#2| (-1125)) (((-420 (-577))) -12 (|has| |#2| (-1063 (-420 (-577)))) (|has| |#2| (-1125)))) (((|#1|) . T) (((-420 (-577))) . T) (($) . T)) ((($ $) . T) ((|#2| $) . T)) ((((-577)) . T) (($) . T) (((-420 (-577))) . T)) @@ -1195,15 +1195,15 @@ ((((-880)) . T)) ((((-880)) . T)) (((|#1| |#1|) . T)) -(((|#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) (((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) |has| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (-320 (-2 (|:| -2350 |#1|) (|:| -2911 |#2|))))) -(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125))) (((-2 (|:| -2350 (-1183)) (|:| -2911 |#1|))) |has| (-2 (|:| -2350 (-1183)) (|:| -2911 |#1|)) (-320 (-2 (|:| -2350 (-1183)) (|:| -2911 |#1|))))) +(((|#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) (((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) |has| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (-320 (-2 (|:| -4323 |#1|) (|:| -2438 |#2|))))) +(((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125))) (((-2 (|:| -4323 (-1183)) (|:| -2438 |#1|))) |has| (-2 (|:| -4323 (-1183)) (|:| -2438 |#1|)) (-320 (-2 (|:| -4323 (-1183)) (|:| -2438 |#1|))))) ((((-880)) . T)) (((|#1|) . T)) (((|#3| |#3|) . T)) (((|#1|) . T)) ((($) . T) ((|#2|) . T) (((-577)) |has| |#2| (-654 (-577)))) ((((-1201) (-52)) . T)) -((((-1201)) -3803 (|has| |#1| (-921 (-1201))) (|has| |#1| (-923 (-1201))))) +((((-1201)) -2811 (|has| |#1| (-921 (-1201))) (|has| |#1| (-923 (-1201))))) (((|#3|) . T)) ((($ $) . T) ((#0=(-882 |#1|) $) . T) ((#0# |#2|) . T)) (|has| |#1| (-844)) @@ -1211,10 +1211,10 @@ ((($) . T) (((-577)) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T)) ((((-577)) . T) (($) . T) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) (|has| (-1119 |#1|) (-1125)) -(((|#2| |#2|) -3803 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1074)))) -(((|#2|) -3803 (|has| |#2| (-174)) (|has| |#2| (-375)))) -((((-577) (-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T) ((|#1| |#2|) . T)) -(((|#2|) -3803 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1074)))) +(((|#2| |#2|) -2811 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1074)))) +(((|#2|) -2811 (|has| |#2| (-174)) (|has| |#2| (-375)))) +((((-577) (-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T) ((|#1| |#2|) . T)) +(((|#2|) -2811 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1074)))) ((((-577)) . T)) ((((-1206)) . T)) ((((-787)) . T)) @@ -1233,34 +1233,34 @@ (((|#1|) . T)) ((((-420 (-577))) . T) (($) . T)) ((($) . T) (((-420 (-577))) . T)) -(-3803 (|has| |#1| (-174)) (|has| |#1| (-569))) +(-2811 (|has| |#1| (-174)) (|has| |#1| (-569))) ((((-1206)) . T)) -(-3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) -(-3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) +(-2811 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) +(-2811 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((((-577)) . T)) -(-3803 (|has| |#1| (-174)) (|has| |#1| (-569))) +(-2811 (|has| |#1| (-174)) (|has| |#1| (-569))) (|has| |#1| (-146)) ((((-577)) . T)) (|has| |#1| (-148)) -((($ (-1201)) -3803 (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-921 (-1201)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-921 (-1201)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-923 (-1201)))))) +((($ (-1201)) -2811 (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-921 (-1201)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-921 (-1201)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-923 (-1201)))))) ((($ (-1201)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-921 (-1201))))) ((((-911 (-577))) . T) (((-911 (-391))) . T) (((-549)) . T) (((-1201)) . T)) ((((-880)) . T)) -(-3803 (|has| |#1| (-102)) (|has| |#1| (-865)) (|has| |#1| (-1125))) +(-2811 (|has| |#1| (-102)) (|has| |#1| (-865)) (|has| |#1| (-1125))) ((((-880)) . T) (((-1206)) . T)) ((((-1206)) . T)) ((($) . T)) (((|#1|) . T)) ((((-880)) . T)) -(-3803 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) +(-2811 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) (((|#1|) . T) (($) . T)) (((|#2|) |has| |#2| (-174))) -((($) -3803 (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) ((|#2|) |has| |#2| (-174)) (((-420 (-577))) |has| |#2| (-38 (-420 (-577))))) +((($) -2811 (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) ((|#2|) |has| |#2| (-174)) (((-420 (-577))) |has| |#2| (-38 (-420 (-577))))) ((((-888 |#1|)) . T)) -(-3803 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-380)) (|has| |#2| (-742)) (|has| |#2| (-809)) (|has| |#2| (-865)) (|has| |#2| (-1074)) (|has| |#2| (-1125))) +(-2811 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-380)) (|has| |#2| (-742)) (|has| |#2| (-809)) (|has| |#2| (-865)) (|has| |#2| (-1074)) (|has| |#2| (-1125))) (-12 (|has| |#3| (-239)) (|has| |#3| (-1074))) (|has| |#2| (-1177)) -(((#0=(-52)) . T) (((-2 (|:| -2350 (-1201)) (|:| -2911 #0#))) . T)) +(((#0=(-52)) . T) (((-2 (|:| -4323 (-1201)) (|:| -2438 #0#))) . T)) (((|#1| |#2|) . T)) (((|#1| (-651 |#2|)) . T)) (|has| |#3| (-1074)) @@ -1269,10 +1269,10 @@ (((|#1| (-577) (-1107)) . T)) (((|#1| (-420 (-577)) (-1107)) . T)) ((((-1201)) . T)) -((($) -3803 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-569))) (((-420 (-577))) -3803 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T)) -((($) -3803 (|has| (-420 |#2|) (-239)) (|has| (-420 |#2|) (-238)))) +((($) -2811 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-569))) (((-420 (-577))) -2811 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T)) +((($) -2811 (|has| (-420 |#2|) (-239)) (|has| (-420 |#2|) (-238)))) ((((-577) |#2|) . T)) -((($ (-1201)) -3803 (|has| |#2| (-921 (-1201))) (|has| |#2| (-923 (-1201))))) +((($ (-1201)) -2811 (|has| |#2| (-921 (-1201))) (|has| |#2| (-923 (-1201))))) (((|#1| |#2|) . T)) (((|#1| |#2|) . T)) (|has| |#2| (-380)) @@ -1280,43 +1280,43 @@ ((((-880)) . 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T)) (((|#1|) |has| |#1| (-320 |#1|))) @@ -1326,21 +1326,21 @@ (|has| |#1| (-380)) ((((-1201) $) |has| |#1| (-527 (-1201) $)) (($ $) |has| |#1| (-320 $)) ((|#1| |#1|) |has| |#1| (-320 |#1|)) (((-1201) |#1|) |has| |#1| (-527 (-1201) |#1|))) ((((-1201)) |has| |#1| (-921 (-1201)))) -(-3803 (-12 (|has| |#1| (-239)) (|has| |#1| (-375))) (|has| |#1| (-361))) +(-2811 (-12 (|has| |#1| (-239)) (|has| |#1| (-375))) (|has| |#1| (-361))) (((|#1| |#4|) . T)) (((|#1| |#3|) . T)) ((($) . T)) ((((-401) |#1|) . T)) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-361))) -(-3803 (|has| |#1| (-102)) (|has| |#1| (-1125))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-361))) +(-2811 (|has| |#1| (-102)) (|has| |#1| (-1125))) (((|#2|) . T) (((-880)) . T)) ((((-880)) . T)) (((|#2|) . T)) ((((-933 |#1|)) . T)) ((((-880)) . T) (((-1206)) . T)) ((((-1206)) . T)) -((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -3803 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932)))) -((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) -3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932)))) +((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -2811 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932)))) +((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) -2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932)))) (((|#1| |#2|) . T)) ((($) . T)) ((((-577)) . T) (($) . T) (((-420 (-577))) . T)) @@ -1349,7 +1349,7 @@ (((|#1|) . T) (((-420 (-577))) . T) (($) . T) (((-577)) . T)) (((|#1| |#1|) . T)) (((#0=(-888 |#1|)) |has| #0# (-320 #0#))) -((((-577)) . T) (($) -3803 (|has| |#1| (-375)) (|has| |#1| (-361))) (((-420 (-577))) -3803 (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-1063 (-420 (-577))))) ((|#1|) . T)) +((((-577)) . T) (($) -2811 (|has| |#1| (-375)) (|has| |#1| (-361))) (((-420 (-577))) -2811 (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-1063 (-420 (-577))))) ((|#1|) . T)) (((|#1| |#2|) . T)) (|has| |#2| (-809)) (|has| |#2| (-809)) @@ -1358,7 +1358,7 @@ (-12 (|has| |#1| (-809)) (|has| |#2| (-809))) (|has| |#2| (-1074)) ((($) . T) (((-577)) . T) ((|#2|) . T)) -(((|#2|) . T) (((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +(((|#2|) . T) (((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) (((|#2|) . T) (($) . T)) (|has| |#1| (-1227)) (((#0=(-577) #0#) . T) ((#1=(-420 (-577)) #1#) . T) (($ $) . T)) @@ -1372,7 +1372,7 @@ (((|#1| |#1|) . T) (($ $) . T) ((#0=(-420 (-577)) #0#) . T)) (|has| |#1| (-375)) ((((-577)) . T) (((-420 (-577))) . T) (($) . 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T) (((-420 (-577))) |has| |#2| (-38 (-420 (-577))))) +((($) -2811 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) ((|#2|) . T) (((-420 (-577))) |has| |#2| (-38 (-420 (-577))))) ((((-577)) |has| #0=(-420 |#2|) (-654 (-577))) ((#0#) . T)) ((($) . T) (((-577)) . T)) ((((-577) (-145)) . T)) -((((-577) (-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T) ((|#1| |#2|) . T)) +((((-577) (-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T) ((|#1| |#2|) . T)) ((((-420 (-577))) . T) (($) . T)) (((|#1|) . T)) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) ((((-880)) . T)) ((((-933 |#1|)) . T)) (|has| |#1| (-375)) @@ -1420,11 +1420,11 @@ (|has| |#1| (-375)) (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-864)) -((($) -3803 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-569))) (((-420 (-577))) -3803 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T)) +((($) -2811 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-569))) (((-420 (-577))) -2811 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T)) (|has| |#1| (-375)) (((|#1|) . T) (($) . T)) (|has| |#1| (-864)) -((($) . T) (((-420 (-577))) -3803 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T)) +((($) . T) (((-420 (-577))) -2811 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T)) ((((-1201)) |has| |#1| (-921 (-1201)))) (|has| |#1| (-864)) ((((-519)) . T)) @@ -1440,7 +1440,7 @@ ((((-549)) . T)) ((((-880)) . T)) ((($) . T)) -((((-577) (-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T) (((-1259 (-577)) $) . T) ((|#1| |#2|) . T)) +((((-577) (-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T) (((-1259 (-577)) $) . T) ((|#1| |#2|) . T)) (((|#1|) . T)) (((|#2|) . T) (($) . T)) (((|#1|) |has| |#1| (-174))) @@ -1450,22 +1450,22 @@ (((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) (((|#3|) . 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T)) -(((#0=(-420 (-577)) #0#) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($ $) -3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((|#1| |#1|) . T)) +(((#0=(-420 (-577)) #0#) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($ $) -2811 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((|#1| |#1|) . T)) ((((-420 (-577))) |has| |#1| (-1063 (-577))) (((-577)) |has| |#1| (-1063 (-577))) (((-1201)) |has| |#1| (-1063 (-1201))) ((|#1|) . T)) ((($) . T)) ((($) . T)) @@ -1482,7 +1482,7 @@ ((((-420 (-577))) |has| |#1| (-1063 (-420 (-577)))) (((-577)) |has| |#1| (-1063 (-577))) ((|#1|) . T)) ((($) . T) (((-577)) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T)) ((((-577)) |has| |#1| (-905 (-577))) (((-391)) |has| |#1| (-905 (-391)))) -((((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((|#1|) . 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T)) -(-3803 (|has| |#1| (-102)) (|has| |#1| (-865)) (|has| |#1| (-1125))) -(((|#2| |#2|) -3803 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1074)))) +(-2811 (|has| |#1| (-102)) (|has| |#1| (-865)) (|has| |#1| (-1125))) +(((|#2| |#2|) -2811 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1074)))) (((|#2|) . T) (((-577)) . T)) ((((-880)) . T)) ((((-880)) . T)) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T) ((|#2|) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T) ((|#2|) . T)) ((((-880)) . T)) ((((-880)) . T)) ((((-1183) (-1201) (-577) (-228) (-880)) . T)) @@ -1556,9 +1556,9 @@ ((((-420 (-577))) . T) (($) . T)) ((((-880)) . T)) ((((-549)) |has| |#1| (-627 (-549)))) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) ((($) . T) (((-420 (-577))) . T)) -(((|#2|) -3803 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1074)))) +(((|#2|) -2811 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1074)))) (|has| $ (-148)) ((((-420 |#2|)) . T)) ((((-420 (-577))) |has| #0=(-420 |#2|) (-1063 (-420 (-577)))) (((-577)) |has| #0# (-1063 (-577))) ((#0#) . T)) @@ -1567,11 +1567,11 @@ (|has| |#2| (-148)) (|has| |#1| (-148)) (|has| |#1| (-146)) -(-3803 (|has| |#1| (-146)) (|has| |#1| (-380))) +(-2811 (|has| |#1| (-146)) (|has| |#1| (-380))) (|has| |#1| (-148)) -(-3803 (|has| |#1| (-146)) (|has| |#1| (-380))) +(-2811 (|has| |#1| (-146)) (|has| |#1| (-380))) (|has| |#1| (-148)) -(-3803 (|has| |#1| (-146)) (|has| |#1| (-380))) +(-2811 (|has| |#1| (-146)) (|has| |#1| (-380))) (|has| |#1| (-148)) (((|#1|) . T)) (|has| |#2| (-239)) @@ -1608,9 +1608,9 @@ ((((-880)) . T)) ((((-880)) . T)) ((((-1024 |#1|)) . T) ((|#1|) . T)) -((((-1201)) -3803 (|has| |#1| (-921 (-1201))) (|has| |#1| (-923 (-1201)))) (((-834 (-1201))) . T)) +((((-1201)) -2811 (|has| |#1| (-921 (-1201))) (|has| |#1| (-923 (-1201)))) (((-834 (-1201))) . T)) ((((-880)) . T)) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) ((((-420 (-577))) . T) (((-420 |#1|)) . T) ((|#1|) . T) (($) . T)) (((|#1| (-1197 |#1|)) . T)) ((((-577)) . T) (($) . T) (((-420 (-577))) . T)) @@ -1619,8 +1619,8 @@ (((|#1|) . T) (((-577)) . T) (($) . T)) (((|#2|) . T)) ((((-577)) . T) (($) . T) (((-420 (-577))) . T)) -((((-2 (|:| -2350 (-1183)) (|:| -2911 |#1|))) . T)) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) +((((-2 (|:| -4323 (-1183)) (|:| -2438 |#1|))) . T)) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) ((((-577) |#2|) . T)) (((|#1|) . T) (((-420 (-577))) . T) (((-577)) . T) (($) . T)) ((($) . T) (((-577)) . T) (((-420 (-577))) . T)) @@ -1631,9 +1631,9 @@ ((((-880)) . T)) (((|#4|) -12 (|has| |#4| (-320 |#4|)) (|has| |#4| (-1125)))) (((|#3|) -12 (|has| |#3| (-320 |#3|)) (|has| |#3| (-1125)))) -(-3803 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (-12 (|has| |#1| (-375)) (|has| |#2| (-239))) (-12 (|has| |#1| (-375)) (|has| |#2| (-238)))) +(-2811 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (-12 (|has| |#1| (-375)) (|has| |#2| (-239))) (-12 (|has| |#1| (-375)) (|has| |#2| (-238)))) (|has| |#1| (-38 (-420 (-577)))) -(((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) ((#0=(-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) #0#) |has| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (-320 (-2 (|:| -2350 |#1|) (|:| -2911 |#2|))))) +(((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) ((#0=(-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) #0#) |has| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (-320 (-2 (|:| -4323 |#1|) (|:| -2438 |#2|))))) (((|#2| |#2|) . T)) (|has| |#1| (-38 (-420 (-577)))) (|has| |#2| (-375)) @@ -1642,21 +1642,21 @@ (((|#2|) . T)) ((((-1284 |#1| |#2| |#3|)) |has| |#1| (-375))) (((|#1|) |has| |#1| (-174))) -((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) -3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932)))) -((($) -3803 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) -2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932)))) +((($) -2811 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) (|has| |#1| (-1125)) (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-38 (-420 (-577)))) ((((-1183) (-52)) . T)) (((|#1|) . T)) -((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . 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T)) -((((-577)) -3803 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1074))) ((|#2|) -3803 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-742)) (|has| |#2| (-1074))) (($) |has| |#2| (-1074))) +((((-577)) -2811 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1074))) ((|#2|) -2811 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-742)) (|has| |#2| (-1074))) (($) |has| |#2| (-1074))) (((|#1|) . T)) ((((-577) |#3|) . T)) ((((-577) (-145)) . T)) @@ -1672,7 +1672,7 @@ ((((-577)) . T) (($) . T)) (((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) (((|#1|) . T)) -((($ (-1201)) -3803 (|has| |#1| (-921 (-1201))) (|has| |#1| (-923 (-1201))))) +((($ (-1201)) -2811 (|has| |#1| (-921 (-1201))) (|has| |#1| (-923 (-1201))))) (((|#2|) . T) (((-577)) |has| |#2| (-654 (-577)))) ((((-145)) . T)) ((((-880)) . T)) @@ -1683,26 +1683,26 @@ (((|#1|) . T)) (((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) (((|#1| |#2|) . T)) -(-3803 (|has| |#2| (-239)) (|has| |#2| (-238))) +(-2811 (|has| |#2| (-239)) (|has| |#2| (-238))) ((((-577) (-145)) . T) (((-1259 (-577)) $) . T)) -(((#0=(-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) #0#) |has| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (-320 (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)))) ((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125)))) -((($) -3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +(((#0=(-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) #0#) |has| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (-320 (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)))) ((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125)))) +((($) -2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) (|has| |#1| (-865)) (((|#2| (-787) (-1107)) . T)) (((|#1| |#2|) . T)) ((((-1201)) -12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-921 (-1201))))) (|has| |#1| (-807)) -(-3803 (|has| |#1| (-174)) (|has| |#1| (-569))) -((((-1201)) -3803 (-12 (|has| (-1284 |#1| |#2| |#3|) (-921 (-1201))) (|has| |#1| (-375))) (-12 (|has| (-1284 |#1| |#2| |#3|) (-923 (-1201))) (|has| |#1| (-375))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-921 (-1201)))))) +(-2811 (|has| |#1| (-174)) (|has| |#1| (-569))) +((((-1201)) -2811 (-12 (|has| (-1284 |#1| |#2| |#3|) (-921 (-1201))) (|has| |#1| (-375))) (-12 (|has| (-1284 |#1| |#2| |#3|) (-923 (-1201))) (|has| |#1| (-375))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-921 (-1201)))))) ((((-1201)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-921 (-1201))))) ((((-1201)) -12 (|has| |#1| (-15 * (|#1| (-787) |#1|))) (|has| |#1| (-921 (-1201))))) (((|#1|) |has| |#1| (-174))) (((|#4|) . T)) (((|#4|) . T)) (((|#1| |#2|) . T)) -(-3803 (|has| |#1| (-148)) (-12 (|has| |#1| (-375)) (|has| |#2| (-148)))) +(-2811 (|has| |#1| (-148)) (-12 (|has| |#1| (-375)) (|has| |#2| (-148)))) (((|#4|) . T)) -(-3803 (|has| |#1| (-146)) (-12 (|has| |#1| (-375)) (|has| |#2| (-146)))) +(-2811 (|has| |#1| (-146)) (-12 (|has| |#1| (-375)) (|has| |#2| (-146)))) ((((-1183) |#1|) . T)) (|has| |#1| (-146)) (|has| |#1| (-148)) @@ -1716,24 +1716,24 @@ (((|#3|) . T)) ((((-1284 |#1| |#2| |#3|)) |has| |#1| (-375))) ((($) . T) (((-577)) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T)) -((((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-1199 |#1| |#2| |#3|)) |has| |#1| (-375)) (((-577)) . T) (($) . T) ((|#1|) . T)) -(((|#1|) . T) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-577)) . T) (($) . T)) +((((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-1199 |#1| |#2| |#3|)) |has| |#1| (-375)) (((-577)) . T) (($) . T) ((|#1|) . T)) +(((|#1|) . T) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-577)) . T) (($) . T)) ((((-880)) . T)) -(-3803 (|has| |#1| (-102)) (|has| |#1| (-865)) (|has| |#1| (-1125))) +(-2811 (|has| |#1| (-102)) (|has| |#1| (-865)) (|has| |#1| (-1125))) (((|#1|) . T)) (((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) (((-577)) . T) (($) . T)) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125))) (((-981 |#1|)) . T)) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125))) (((-981 |#1|)) . T)) (|has| |#1| (-864)) (|has| |#1| (-864)) (((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) ((((-981 |#1|)) . T)) -(((|#4|) -3803 (|has| |#4| (-174)) (|has| |#4| (-375)) (|has| |#4| (-742)))) -(((|#3|) -3803 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-742)))) +(((|#4|) -2811 (|has| |#4| (-174)) (|has| |#4| (-375)) (|has| |#4| (-742)))) +(((|#3|) -2811 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-742)))) (|has| |#2| (-375)) (((|#1|) |has| |#1| (-174))) -(((|#4|) -3803 (|has| |#4| (-174)) (|has| |#4| (-375)) (|has| |#4| (-742)) (|has| |#4| (-1074)))) -(((|#3|) -3803 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-742)) (|has| |#3| (-1074)))) +(((|#4|) -2811 (|has| |#4| (-174)) (|has| |#4| (-375)) (|has| |#4| (-742)) (|has| |#4| (-1074)))) +(((|#3|) -2811 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-742)) (|has| |#3| (-1074)))) (((|#2|) |has| |#2| (-1074))) (((|#2|) |has| |#2| (-1074))) ((((-1183) |#1|) . T)) @@ -1745,8 +1745,8 @@ ((((-401) (-1183)) . T)) ((($ (-1201)) . T)) ((($) |has| |#1| (-569)) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) -((((-880)) -3803 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-626 (-880))) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-380)) (|has| |#2| (-742)) (|has| |#2| (-809)) (|has| |#2| (-865)) (|has| |#2| (-1074)) (|has| |#2| (-1125))) (((-1292 |#2|)) . T)) -(((#0=(-52)) . T) (((-2 (|:| -2350 (-1183)) (|:| -2911 #0#))) . T)) +((((-880)) -2811 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-626 (-880))) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-380)) (|has| |#2| (-742)) (|has| |#2| (-809)) (|has| |#2| (-865)) (|has| |#2| (-1074)) (|has| |#2| (-1125))) (((-1292 |#2|)) . T)) +(((#0=(-52)) . T) (((-2 (|:| -4323 (-1183)) (|:| -2438 #0#))) . T)) (((|#1|) . T)) ((((-880)) . T)) (((|#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125)))) @@ -1755,7 +1755,7 @@ ((((-577)) . T)) (|has| |#2| (-148)) (|has| |#1| (-486)) -(-3803 (|has| |#1| (-486)) (|has| |#1| (-742)) (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074))) +(-2811 (|has| |#1| (-486)) (|has| |#1| (-742)) (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074))) (|has| |#1| (-375)) ((((-880)) . T)) (|has| |#1| (-38 (-420 (-577)))) @@ -1766,8 +1766,8 @@ (|has| |#1| (-864)) ((((-880)) . T)) (((|#2|) . T)) -((((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -3803 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-1284 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174))) -(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -3803 (|has| |#1| (-375)) (|has| |#1| (-569)))) +((((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2811 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-1284 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174))) +(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2811 (|has| |#1| (-375)) (|has| |#1| (-569)))) ((($) |has| |#1| (-569)) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) (((|#2|) . T) (((-577)) . T) (((-835 |#1|)) . T)) (((|#1| |#2|) . T)) @@ -1776,8 +1776,8 @@ ((((-933 |#1|)) . T) (((-420 (-577))) . T) (($) . T)) ((((-880)) . T)) ((((-880)) . T)) -(-3803 (|has| |#1| (-102)) (|has| |#1| (-1125))) -(((|#2| (-495 (-2003 |#1|) (-787)) (-882 |#1|)) . T)) +(-2811 (|has| |#1| (-102)) (|has| |#1| (-1125))) +(((|#2| (-495 (-3501 |#1|) (-787)) (-882 |#1|)) . T)) ((((-420 (-577))) . #0=(|has| |#2| (-375))) (($) . #0#)) (((|#1| (-544 (-1201)) (-1201)) . T)) (((|#1|) . T)) @@ -1798,19 +1798,19 @@ (((|#2|) |has| |#2| (-174))) (((|#1|) . T)) (((|#2|) . T)) -(((|#1|) . T) (((-2 (|:| -2350 (-1183)) (|:| -2911 |#1|))) . T)) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +(((|#1|) . T) (((-2 (|:| -4323 (-1183)) (|:| -2438 |#1|))) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) (((|#2|) . T)) -((((-2 (|:| -2350 (-1201)) (|:| -2911 (-52)))) . T)) +((((-2 (|:| -4323 (-1201)) (|:| -2438 (-52)))) . T)) ((((-1199 |#1| |#2| |#3|)) |has| |#1| (-375))) ((((-1199 |#1| |#2| |#3|)) |has| |#1| (-375))) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) ((((-1201) (-52)) . 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T) (((-577)) |has| |#1| (-1063 (-577))) (((-420 (-577))) |has| |#1| (-1063 (-420 (-577))))) (|has| |#1| (-865)) (|has| |#1| (-865)) @@ -1831,15 +1831,15 @@ (((|#4| |#4|) -12 (|has| |#4| (-320 |#4|)) (|has| |#4| (-1125)))) (((|#1|) |has| |#1| (-174))) (((|#4| |#4|) -12 (|has| |#4| (-320 |#4|)) (|has| |#4| (-1125)))) -(((|#3|) -3803 (|has| |#3| (-174)) (|has| |#3| (-375)))) -((($) -3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) -(-3803 (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-932))) -((($) -3803 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +(((|#3|) -2811 (|has| |#3| (-174)) (|has| |#3| (-375)))) +((($) -2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +(-2811 (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-932))) +((($) -2811 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) ((($ |#2|) . T)) -((($ (-1201)) -3803 (|has| |#1| (-921 (-1201))) (|has| |#1| (-923 (-1201)))) (($ (-1107)) . T)) +((($ (-1201)) -2811 (|has| |#1| (-921 (-1201))) (|has| |#1| (-923 (-1201)))) (($ (-1107)) . T)) ((($ $) . T) ((#0=(-420 (-577)) #0#) . T)) ((((-577) |#2|) . T)) -(((|#2|) -3803 (|has| |#2| (-174)) (|has| |#2| (-375)))) +(((|#2|) -2811 (|has| |#2| (-174)) (|has| |#2| (-375)))) (|has| |#1| (-361)) (((|#3| |#3|) -12 (|has| |#3| (-320 |#3|)) (|has| |#3| (-1125)))) (((|#2|) . T) (((-577)) . T)) @@ -1848,7 +1848,7 @@ (|has| |#1| (-836)) (|has| |#1| (-836)) (((|#1|) . T)) -(-3803 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361))) +(-2811 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361))) (|has| |#1| (-864)) (|has| |#1| (-864)) (|has| |#1| (-864)) @@ -1857,14 +1857,14 @@ ((((-577)) . T) (($) . T) (((-420 (-577))) . T)) (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-38 (-420 (-577)))) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-361))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-361))) (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-38 (-420 (-577)))) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) ((((-1201)) |has| |#1| (-921 (-1201))) (((-1107)) . T)) (((|#1|) . T)) (|has| |#1| (-864)) -(((#0=(-2 (|:| -2350 (-1183)) (|:| -2911 (-52))) #0#) |has| (-2 (|:| -2350 (-1183)) (|:| -2911 (-52))) (-320 (-2 (|:| -2350 (-1183)) (|:| -2911 (-52)))))) +(((#0=(-2 (|:| -4323 (-1183)) (|:| -2438 (-52))) #0#) |has| (-2 (|:| -4323 (-1183)) (|:| -2438 (-52))) (-320 (-2 (|:| -4323 (-1183)) (|:| -2438 (-52)))))) (((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) (|has| |#1| (-1125)) ((((-880)) . T) (((-1206)) . T)) @@ -1888,14 +1888,14 @@ (((|#3|) . T)) (((|#1| (-787) (-1107)) . T)) ((((-145)) . T)) -((((-420 (-577))) |has| |#1| (-1063 (-420 (-577)))) (((-577)) -3803 (|has| |#1| (-864)) (|has| |#1| (-1063 (-577)))) ((|#1|) . T)) +((((-420 (-577))) |has| |#1| (-1063 (-420 (-577)))) (((-577)) -2811 (|has| |#1| (-864)) (|has| |#1| (-1063 (-577)))) ((|#1|) . T)) (((|#1|) . T)) (((|#2|) . T)) ((((-145)) . 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T)) (|has| |#1| (-146)) (|has| |#1| (-148)) @@ -1914,31 +1914,31 @@ ((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-569))) ((($) |has| |#1| (-569))) (((|#2|) . T)) -((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -3803 (|has| |#1| (-174)) (|has| |#1| (-569)))) +((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2811 (|has| |#1| (-174)) (|has| |#1| (-569)))) ((($) |has| |#1| (-569)) ((|#1|) . T)) ((($) |has| |#1| (-864))) ((((-1199 |#1| |#2| |#3|)) |has| |#1| (-375))) (|has| |#1| (-932)) ((((-1201)) . T)) ((((-880)) . T)) -((($) -3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (((-1284 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) . 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T)) -((($ (-1201)) -3803 (-12 (|has| |#4| (-921 (-1201))) (|has| |#4| (-1074))) (-12 (|has| |#4| (-923 (-1201))) (|has| |#4| (-1074))))) -((($ (-1201)) -3803 (-12 (|has| |#3| (-921 (-1201))) (|has| |#3| (-1074))) (-12 (|has| |#3| (-923 (-1201))) (|has| |#3| (-1074))))) -((($) -3803 (|has| |#1| (-239)) (|has| |#1| (-238)))) +((($ (-1201)) -2811 (-12 (|has| |#4| (-921 (-1201))) (|has| |#4| (-1074))) (-12 (|has| |#4| (-923 (-1201))) (|has| |#4| (-1074))))) +((($ (-1201)) -2811 (-12 (|has| |#3| (-921 (-1201))) (|has| |#3| (-1074))) (-12 (|has| |#3| (-923 (-1201))) (|has| |#3| (-1074))))) +((($) -2811 (|has| |#1| (-239)) (|has| |#1| (-238)))) ((($) |has| |#1| (-380))) ((($) |has| |#1| (-380))) ((($) |has| |#1| (-380))) (((|#1| |#2|) . T)) -(-3803 (|has| |#2| (-465)) (|has| |#2| (-932))) -(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125))) ((#0=(-2 (|:| -2350 (-1183)) (|:| -2911 |#1|)) #0#) |has| (-2 (|:| -2350 (-1183)) (|:| -2911 |#1|)) (-320 (-2 (|:| -2350 (-1183)) (|:| -2911 |#1|))))) -(-3803 (|has| |#1| (-465)) (|has| |#1| (-932))) +(-2811 (|has| |#2| (-465)) (|has| |#2| (-932))) +(((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125))) ((#0=(-2 (|:| -4323 (-1183)) (|:| -2438 |#1|)) #0#) |has| (-2 (|:| -4323 (-1183)) (|:| -2438 |#1|)) (-320 (-2 (|:| -4323 (-1183)) (|:| -2438 |#1|))))) +(-2811 (|has| |#1| (-465)) (|has| |#1| (-932))) (((|#1|) . T)) (((|#1|) . T) (($) . T)) (((|#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125)))) @@ -1947,23 +1947,23 @@ (((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) -(((|#3|) -3803 (|has| |#3| (-174)) (|has| |#3| (-375)))) +(((|#3|) -2811 (|has| |#3| (-174)) (|has| |#3| (-375)))) (|has| |#1| (-865)) (|has| |#1| (-569)) ((((-594 |#1|)) . T)) ((($) . T)) (((|#2|) . T)) -(-3803 (-12 (|has| |#1| (-375)) (|has| |#2| (-836))) (-12 (|has| |#1| (-375)) (|has| |#2| (-865)))) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-569))) +(-2811 (-12 (|has| |#1| (-375)) (|has| |#2| (-836))) (-12 (|has| |#1| (-375)) (|has| |#2| (-865)))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-569))) ((((-933 |#1|)) . T)) (((|#1| (-509 |#1| |#3|) (-509 |#1| |#2|)) . T)) (((|#1| |#4| |#5|) . T)) (((|#1| (-787)) . T)) ((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-569))) -((((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -3803 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-1199 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174))) -(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -3803 (|has| |#1| (-375)) (|has| |#1| (-569)))) +((((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2811 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-1199 |#1| |#2| |#3|)) |has| |#1| (-375)) ((|#1|) |has| |#1| (-174))) +(((|#1|) |has| |#1| (-174)) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2811 (|has| |#1| (-375)) (|has| |#1| (-569)))) ((($) |has| |#1| (-569)) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) -((((-2 (|:| -2350 (-1201)) (|:| -2911 (-52)))) . T)) +((((-2 (|:| -4323 (-1201)) (|:| -2438 (-52)))) . T)) ((((-577)) |has| #0=(-420 |#2|) (-654 (-577))) ((#0#) . T) (((-420 (-577))) . T) (($) . T)) ((((-688 |#1|)) . T)) (((|#1| |#2| |#3| |#4|) . T)) @@ -1972,7 +1972,7 @@ ((((-880)) . T)) (((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) ((((-880)) . T)) -((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -3803 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932)))) +((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -2811 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932)))) ((((-1206)) . T)) ((((-420 (-577))) . T) (($) . T) (((-420 |#1|)) . T) ((|#1|) . T) (((-577)) . T)) (((|#3|) . T) (((-577)) . T) (((-625 $)) . T)) @@ -1980,12 +1980,12 @@ ((((-880)) . T)) ((((-880)) . T)) (((|#2|) . 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T)) @@ -2156,8 +2156,8 @@ (|has| |#1| (-864)) (|has| |#1| (-864)) (((|#1| (-577) (-1107)) . T)) -(-3803 (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074))) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +(-2811 (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074))) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) (((|#1| (-420 (-577)) (-1107)) . T)) (((|#1| (-787) (-1107)) . T)) (|has| |#1| (-865)) @@ -2171,41 +2171,41 @@ ((((-933 |#1|)) . T) (($) . T) (((-420 (-577))) . T)) (|has| |#1| (-1125)) ((((-420 (-577))) |has| |#2| (-375)) (($) . T) (((-577)) . T)) -((((-577)) -3803 (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074)))) +((((-577)) -2811 (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074)))) (((|#1|) . 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T)) ((($) |has| |#1| (-239))) @@ -2240,12 +2240,12 @@ (|has| |#1| (-146)) ((($) |has| |#1| (-569)) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) (((|#1|) |has| |#1| (-174))) -((($) -3803 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-174)) (|has| |#1| (-569))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) ((((-577)) . T) ((|#1|) . T) (($) . T) (((-420 (-577))) . T) (((-1201)) |has| |#1| (-1063 (-1201)))) (((|#1| |#2|) . T)) -((((-420 (-577))) |has| |#1| (-1063 (-420 (-577)))) (((-577)) -3803 (|has| |#1| (-864)) (|has| |#1| (-1063 (-577)))) ((|#1|) . T)) -(-3803 (-12 (|has| |#4| (-239)) (|has| |#4| (-1074))) (-12 (|has| |#4| (-238)) (|has| |#4| (-1074)))) -(-3803 (-12 (|has| |#3| (-239)) (|has| |#3| (-1074))) (-12 (|has| |#3| (-238)) (|has| |#3| (-1074)))) +((((-420 (-577))) |has| |#1| (-1063 (-420 (-577)))) (((-577)) -2811 (|has| |#1| (-864)) (|has| |#1| (-1063 (-577)))) ((|#1|) . T)) +(-2811 (-12 (|has| |#4| (-239)) (|has| |#4| (-1074))) (-12 (|has| |#4| (-238)) (|has| |#4| (-1074)))) +(-2811 (-12 (|has| |#3| (-239)) (|has| |#3| (-1074))) (-12 (|has| |#3| (-238)) (|has| |#3| (-1074)))) ((((-145)) . T)) (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-38 (-420 (-577)))) @@ -2256,13 +2256,13 @@ ((((-880)) . T)) (((|#1|) . T) (((-420 (-577))) . T) (($) . T)) ((($) . T) (((-577)) |has| |#1| (-654 (-577))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) (|has| |#1| (-375)) (|has| |#1| (-375)) ((($ |#2|) . T)) (|has| (-420 |#2|) (-239)) ((((-660 |#1|)) . T)) -((($ (-1288 |#2|)) . T) (($ (-1201)) -3803 (-12 (|has| (-1199 |#1| |#2| |#3|) (-921 (-1201))) (|has| |#1| (-375))) (-12 (|has| (-1199 |#1| |#2| |#3|) (-923 (-1201))) (|has| |#1| (-375))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-921 (-1201)))))) +((($ (-1288 |#2|)) . T) (($ (-1201)) -2811 (-12 (|has| (-1199 |#1| |#2| |#3|) (-921 (-1201))) (|has| |#1| (-375))) (-12 (|has| (-1199 |#1| |#2| |#3|) (-923 (-1201))) (|has| |#1| (-375))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-921 (-1201)))))) ((($ (-1288 |#2|)) . T) (($ (-1201)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-921 (-1201))))) ((($ (-1288 |#2|)) . T) (($ (-1201)) -12 (|has| |#1| (-15 * (|#1| (-787) |#1|))) (|has| |#1| (-921 (-1201))))) (|has| |#1| (-932)) @@ -2270,7 +2270,7 @@ (((|#2|) |has| |#2| (-1074))) (|has| |#1| (-375)) ((($) . T)) -(((|#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) (((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) |has| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (-320 (-2 (|:| -2350 |#1|) (|:| -2911 |#2|))))) +(((|#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) (((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) |has| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (-320 (-2 (|:| -4323 |#1|) (|:| -2438 |#2|))))) (((|#1|) |has| |#1| (-174))) ((($ (-882 |#1|)) . T)) (((|#1| |#1|) . T)) @@ -2281,7 +2281,7 @@ (((|#1|) . T)) ((((-420 |#2|)) . T) (((-420 (-577))) . T) (($) . T) (((-577)) . T)) ((((-660 $)) . T) (((-1183)) . T) (((-1201)) . T) (((-577)) . T) (((-228)) . T) (((-880)) . T)) -((((-577)) -3803 (|has| |#3| (-21)) (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-1074))) ((|#3|) -3803 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-742)) (|has| |#3| (-1074))) (($) |has| |#3| (-1074))) +((((-577)) -2811 (|has| |#3| (-21)) (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-1074))) ((|#3|) -2811 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-742)) (|has| |#3| (-1074))) (($) |has| |#3| (-1074))) ((((-420 (-577))) . T) (((-577)) . T) (((-625 $)) . T)) (((|#1|) . T)) ((((-880)) . T)) @@ -2297,7 +2297,7 @@ (((|#1| (-787) (-1107)) . T)) ((((-880)) . T)) (((#0=(-420 |#2|) #0#) . T) ((#1=(-420 (-577)) #1#) . T) (($ $) . T)) -(((|#1|) . T) (((-577)) -3803 (|has| (-420 (-577)) (-1063 (-577))) (|has| |#1| (-1063 (-577)))) (((-420 (-577))) . T)) +(((|#1|) . T) (((-577)) -2811 (|has| (-420 (-577)) (-1063 (-577))) (|has| |#1| (-1063 (-577)))) (((-420 (-577))) . T)) (((|#1| (-615 |#1| |#3|) (-615 |#1| |#2|)) . T)) (((|#1|) |has| |#1| (-174))) (((|#1|) . T)) @@ -2317,37 +2317,37 @@ ((((-715)) . T)) ((((-715)) . T)) (((|#2|) |has| |#2| (-174))) -(-3803 (|has| |#1| (-239)) (|has| |#1| (-238))) +(-2811 (|has| |#1| (-239)) (|has| |#1| (-238))) ((((-577)) . T) ((|#2|) . T) (((-420 (-577))) |has| |#2| (-1063 (-420 (-577))))) -((((-112)) |has| |#1| (-1125)) (((-880)) -3803 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-486)) (|has| |#1| (-742)) (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074)) (|has| |#1| (-1137)) (|has| |#1| (-1125)))) +((((-112)) |has| |#1| (-1125)) (((-880)) -2811 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-486)) (|has| |#1| (-742)) (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074)) (|has| |#1| (-1137)) (|has| |#1| (-1125)))) (((|#1|) . T) (($) . T)) (((|#1| |#2|) . T)) ((($) . T) (((-577)) . T) (((-420 (-577))) . T)) ((((-577)) . T) (($) . T) (((-420 (-577))) . 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T) (((-420 (-577))) -2811 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T)) ((((-577) |#1|) . T)) -(((|#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) (((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) |has| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (-320 (-2 (|:| -2350 |#1|) (|:| -2911 |#2|))))) +(((|#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) (((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) |has| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (-320 (-2 (|:| -4323 |#1|) (|:| -2438 |#2|))))) ((((-391)) . T)) ((((-715)) . T)) ((((-420 (-577))) . #0=(|has| |#2| (-375))) (($) . #0#)) (((|#1|) |has| |#1| (-174))) ((((-420 (-975 |#1|))) . T)) (((|#2| |#2|) . T)) -(-3803 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) -(-3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) +(-2811 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) +(-2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) (((|#1|) . T)) (((|#2|) . T)) (((|#3|) |has| |#3| (-1074))) @@ -2359,7 +2359,7 @@ ((((-1201)) |has| |#2| (-921 (-1201)))) (|has| |#1| (-865)) ((((-880)) . T)) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) (|has| |#1| (-807)) ((((-420 (-577))) . T) (($) . T)) (|has| |#1| (-486)) @@ -2367,8 +2367,8 @@ (|has| |#1| (-380)) (|has| |#1| (-380)) (|has| |#1| (-375)) -(-3803 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-486)) (|has| |#1| (-569)) (|has| |#1| (-1074)) (|has| |#1| (-1137))) -((($) -3803 (|has| |#1| (-239)) (|has| |#1| (-238)) (|has| |#1| (-361)))) +(-2811 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-486)) (|has| |#1| (-569)) (|has| |#1| (-1074)) (|has| |#1| (-1137))) +((($) -2811 (|has| |#1| (-239)) (|has| |#1| (-238)) (|has| |#1| (-361)))) ((((-117 |#1|)) . T)) ((((-117 |#1|)) . T)) (|has| |#1| (-361)) @@ -2379,7 +2379,7 @@ (|has| |#1| (-38 (-420 (-577)))) (((|#2|) . T) (((-880)) . T)) (((|#2|) . T) (((-880)) . T)) -((($ (-1201)) -3803 (|has| |#1| (-921 (-1201))) (|has| |#1| (-923 (-1201))))) +((($ (-1201)) -2811 (|has| |#1| (-921 (-1201))) (|has| |#1| (-923 (-1201))))) (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-38 (-420 (-577)))) @@ -2390,18 +2390,18 @@ (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-865)) -((((-2 (|:| -2350 (-1183)) (|:| -2911 |#1|))) . T)) +((((-2 (|:| -4323 (-1183)) (|:| -2438 |#1|))) . T)) (((|#1| |#2|) . T)) ((($) . T) (((-577)) . T)) (|has| |#1| (-148)) (|has| |#1| (-146)) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) |has| (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)) (-320 (-2 (|:| -2350 |#1|) (|:| -2911 |#2|)))) ((|#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125)))) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) |has| (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)) (-320 (-2 (|:| -4323 |#1|) (|:| -2438 |#2|)))) ((|#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125)))) (((|#2|) . 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T)) -((($) -3803 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) |has| |#1| (-174))) +((($) -2811 (|has| |#1| (-375)) (|has| |#1| (-569))) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) |has| |#1| (-174))) (|has| |#1| (-146)) (|has| |#1| (-148)) -(-3803 (-12 (|has| (-1199 |#1| |#2| |#3|) (-148)) (|has| |#1| (-375))) (|has| |#1| (-148))) -(-3803 (-12 (|has| (-1199 |#1| |#2| |#3|) (-146)) (|has| |#1| (-375))) (|has| |#1| (-146))) +(-2811 (-12 (|has| (-1199 |#1| |#2| |#3|) (-148)) (|has| |#1| (-375))) (|has| |#1| (-148))) +(-2811 (-12 (|has| (-1199 |#1| |#2| |#3|) (-146)) (|has| |#1| (-375))) (|has| |#1| (-146))) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-148)) (|has| |#1| (-146)) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) ((((-1284 |#1| |#2| |#3|)) |has| |#1| (-375))) (|has| |#1| (-864)) (((|#1| |#2|) . T)) @@ -2639,13 +2639,13 @@ ((((-420 (-577))) |has| |#1| (-1063 (-420 (-577)))) ((|#1|) . T) (((-577)) . T)) (|has| |#2| (-146)) (|has| |#2| (-148)) -(-3803 (|has| |#2| (-836)) (|has| |#2| (-865))) +(-2811 (|has| |#2| (-836)) (|has| |#2| (-865))) ((((-933 |#1|)) . T) (((-420 (-577))) . T) (($) . T)) -(-3803 (|has| |#1| (-102)) (|has| |#1| (-1125))) +(-2811 (|has| |#1| (-102)) (|has| |#1| (-1125))) ((((-577)) . T) ((|#1|) . T)) (((|#2|) . T) (($) . T) (((-577)) . T)) (((|#2|) . T)) -((((-1201)) -3803 (|has| |#2| (-921 (-1201))) (|has| |#2| (-923 (-1201))))) +((((-1201)) -2811 (|has| |#2| (-921 (-1201))) (|has| |#2| (-923 (-1201))))) (((|#1| |#1|) . T)) (((|#3|) |has| |#3| (-375))) ((((-420 |#2|)) . T)) @@ -2654,10 +2654,10 @@ ((((-880)) . T)) ((((-880)) . T)) ((((-549)) |has| |#1| (-627 (-549)))) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) ((((-577)) . T) (($) . T) (((-420 (-577))) . T)) ((((-1201) |#1|) |has| |#1| (-527 (-1201) |#1|)) ((|#1| |#1|) |has| |#1| (-320 |#1|))) -(((|#1|) -3803 (|has| |#1| (-174)) (|has| |#1| (-375)))) +(((|#1|) -2811 (|has| |#1| (-174)) (|has| |#1| (-375)))) (((|#1|) . T) (((-420 (-577))) . T) (($) . T)) ((((-577)) . T) (((-420 (-577))) . T) (($) . T)) (((|#1|) . T) (((-420 (-577))) . T) (($) . T)) @@ -2667,14 +2667,14 @@ (((|#1|) . T) (($) . T) (((-420 (-577))) . T)) (((|#1|) . T) (($) . T) (((-420 (-577))) . T)) (((|#2|) |has| |#2| (-375))) -((($) -3803 (|has| |#1| (-375)) (|has| |#1| (-361))) (((-420 (-577))) -3803 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T)) +((($) -2811 (|has| |#1| (-375)) (|has| |#1| (-361))) (((-420 (-577))) -2811 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T)) (((|#2|) . T)) ((((-420 (-577))) . T) (((-715)) . T) (($) . T)) -((($) . T) (((-420 (-577))) -3803 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T)) +((($) . T) (((-420 (-577))) -2811 (|has| |#1| (-375)) (|has| |#1| (-361))) ((|#1|) . T)) (((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) -(-3803 (|has| |#1| (-239)) (|has| |#1| (-238))) +(-2811 (|has| |#1| (-239)) (|has| |#1| (-238))) (((#0=(-796 |#1| (-882 |#2|)) #0#) |has| (-796 |#1| (-882 |#2|)) (-320 (-796 |#1| (-882 |#2|))))) -((($) -3803 (|has| |#1| (-239)) (|has| |#1| (-238)))) +((($) -2811 (|has| |#1| (-239)) (|has| |#1| (-238)))) ((((-577)) . T) (($) . T)) ((((-882 |#1|)) . T)) (((|#2|) |has| |#2| (-174))) @@ -2683,7 +2683,7 @@ ((((-1201)) |has| |#1| (-921 (-1201))) (((-1107)) . T)) ((((-1201)) |has| |#1| (-921 (-1201))) (((-1113 (-1201))) . T)) (((|#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125)))) -((($ (-1201)) -3803 (-12 (|has| |#2| (-921 (-1201))) (|has| |#2| (-1074))) (-12 (|has| |#2| (-923 (-1201))) (|has| |#2| (-1074))))) +((($ (-1201)) -2811 (-12 (|has| |#2| (-921 (-1201))) (|has| |#2| (-1074))) (-12 (|has| |#2| (-923 (-1201))) (|has| |#2| (-1074))))) ((((-420 (-577))) . T) (((-577)) . T) (($) . T)) (((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) (|has| |#1| (-38 (-420 (-577)))) @@ -2692,13 +2692,13 @@ (|has| |#1| (-146)) (|has| |#1| (-148)) ((($ $) . 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T)) +((((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) -2811 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((|#1|) . T)) (|has| |#1| (-375)) -((($) |has| |#1| (-864)) (((-577)) -3803 (|has| |#1| (-21)) (|has| |#1| (-864)))) -((($) -3803 (-12 (|has| (-1284 |#1| |#2| |#3|) (-239)) (|has| |#1| (-375))) (-12 (|has| (-1284 |#1| |#2| |#3|) (-238)) (|has| |#1| (-375))) (|has| |#1| (-15 * (|#1| (-577) |#1|))))) +((($) |has| |#1| (-864)) (((-577)) -2811 (|has| |#1| (-21)) (|has| |#1| (-864)))) +((($) -2811 (-12 (|has| (-1284 |#1| |#2| |#3|) (-239)) (|has| |#1| (-375))) (-12 (|has| (-1284 |#1| |#2| |#3|) (-238)) (|has| |#1| (-375))) (|has| |#1| (-15 * (|#1| (-577) |#1|))))) ((($) |has| |#1| (-15 * (|#1| (-420 (-577)) |#1|)))) (|has| |#1| (-146)) (|has| |#1| (-148)) @@ -2766,16 +2766,16 @@ (((|#2| |#3|) . T)) (((|#1| (-544 |#2|)) . T)) (((|#1| (-787)) . T)) -(-3803 (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) +(-2811 (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) (((|#1| (-544 (-1113 (-1201)))) . T)) (((|#1|) |has| |#1| (-174))) (((|#1|) . T)) (|has| |#2| (-932)) -(-3803 (|has| |#2| (-809)) (|has| |#2| (-865))) +(-2811 (|has| |#2| (-809)) (|has| |#2| (-865))) ((((-880)) . T)) -(((|#2|) -3803 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-742)))) -(((|#2|) -3803 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-742)) (|has| |#2| (-1074)))) -((($ (-1201)) -3803 (-12 (|has| |#3| (-921 (-1201))) (|has| |#3| (-1074))) (-12 (|has| |#3| (-923 (-1201))) (|has| |#3| (-1074))))) +(((|#2|) -2811 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-742)))) +(((|#2|) -2811 (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-742)) (|has| |#2| (-1074)))) +((($ (-1201)) -2811 (-12 (|has| |#3| (-921 (-1201))) (|has| |#3| (-1074))) (-12 (|has| |#3| (-923 (-1201))) (|has| |#3| (-1074))))) ((($ $) . T) ((#0=(-1277 |#2| |#3| |#4|) #0#) . T) ((#1=(-420 (-577)) #1#) |has| #0# (-38 (-420 (-577))))) ((((-933 |#1|)) . T)) (-12 (|has| |#1| (-375)) (|has| |#2| (-836))) @@ -2783,14 +2783,14 @@ ((((-880)) . T)) ((($) . T) (((-577)) . T)) ((($) . T)) -(-3803 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-569))) +(-2811 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361)) (|has| |#1| (-569))) (|has| |#1| (-375)) (|has| |#1| (-375)) (((|#1| |#2|) . T)) ((($) . T) ((#0=(-1277 |#2| |#3| |#4|)) . T) (((-420 (-577))) |has| #0# (-38 (-420 (-577))))) ((((-1199 |#1| |#2| |#3|)) |has| |#1| (-375))) -(-3803 (-12 (|has| |#1| (-318)) (|has| |#1| (-932))) (|has| |#1| (-375)) (|has| |#1| (-361))) -(-3803 (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074))) +(-2811 (-12 (|has| |#1| (-318)) (|has| |#1| (-932))) (|has| |#1| (-375)) (|has| |#1| (-361))) +(-2811 (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074))) ((((-577)) |has| |#1| (-654 (-577))) ((|#1|) . T)) (((|#1| |#2|) . T)) ((((-880)) . T)) @@ -2828,7 +2828,7 @@ ((($) . T)) (((|#4|) . T)) ((($) . T)) -((($ (-1201)) -3803 (-12 (|has| |#1| (-375)) (|has| |#1| (-921 (-1201)))) (-12 (|has| |#1| (-375)) (|has| |#1| (-923 (-1201)))))) +((($ (-1201)) -2811 (-12 (|has| |#1| (-375)) (|has| |#1| (-921 (-1201)))) (-12 (|has| |#1| (-375)) (|has| |#1| (-923 (-1201)))))) ((((-880)) . T)) (((|#1| (-544 (-1201))) . T)) ((($ $) . T)) @@ -2838,29 +2838,29 @@ (((|#2|) . T)) (((|#4| |#4|) -12 (|has| |#4| (-320 |#4|)) (|has| |#4| (-1125)))) (((|#2|) . 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T) (((-577)) . T)) -((((-2 (|:| -2350 (-1183)) (|:| -2911 (-52)))) . T)) +((((-2 (|:| -4323 (-1183)) (|:| -2438 (-52)))) . T)) (((|#1|) . T)) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) ((((-880)) . T)) (((|#1| |#2|) . T)) ((($) . T) (((-577)) . T)) (((|#1| (-420 (-577))) . T)) (((|#1|) . T)) -(-3803 (|has| |#1| (-301)) (|has| |#1| (-375))) +(-2811 (|has| |#1| (-301)) (|has| |#1| (-375))) ((((-145)) . T)) ((((-577)) |has| #0=(-420 |#2|) (-654 (-577))) ((#0#) . T) (((-420 (-577))) . T) (($) . T)) (|has| |#1| (-864)) @@ -2876,7 +2876,7 @@ ((((-880)) . T)) ((((-880)) . T)) ((((-189)) . T) (((-880)) . T)) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) (((|#2| |#2|) . T) ((|#1| |#1|) . T)) ((((-880)) . T)) ((((-880)) . T)) @@ -2893,8 +2893,8 @@ (|has| |#1| (-865)) ((((-880)) . T)) ((((-549)) |has| |#1| (-627 (-549)))) -((((-2 (|:| -2350 (-1183)) (|:| -2911 |#1|))) . T)) -((($) -3803 (-12 (|has| (-1199 |#1| |#2| |#3|) (-239)) (|has| |#1| (-375))) (-12 (|has| (-1199 |#1| |#2| |#3|) (-238)) (|has| |#1| (-375))) (|has| |#1| (-15 * (|#1| (-577) |#1|))))) +((((-2 (|:| -4323 (-1183)) (|:| -2438 |#1|))) . T)) +((($) -2811 (-12 (|has| (-1199 |#1| |#2| |#3|) (-239)) (|has| |#1| (-375))) (-12 (|has| (-1199 |#1| |#2| |#3|) (-238)) (|has| |#1| (-375))) (|has| |#1| (-15 * (|#1| (-577) |#1|))))) ((((-880)) . T)) (((|#2|) |has| |#2| (-375))) ((((-880)) . T)) @@ -2909,19 +2909,19 @@ (|has| |#3| (-1074)) (|has| |#1| (-1125)) ((((-1201) (-52)) . T)) -(-3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) +(-2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) (((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) -(-3803 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1074))) -(-3803 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-809)) (|has| |#2| (-1074))) +(-2811 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1074))) +(-2811 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-809)) (|has| |#2| (-1074))) (|has| |#1| (-932)) ((((-933 |#1|)) . T) (((-420 (-577))) . T) (($) . T) (((-577)) . T)) (|has| |#1| (-932)) (((|#1|) . T) (((-577)) . T) (((-420 (-577))) . T) (($) . T)) (((|#2|) . T)) -((($ (-1201)) -3803 (-12 (|has| |#2| (-921 (-1201))) (|has| |#2| (-1074))) (-12 (|has| |#2| (-923 (-1201))) (|has| |#2| (-1074))))) +((($ (-1201)) -2811 (-12 (|has| |#2| (-921 (-1201))) (|has| |#2| (-1074))) (-12 (|has| |#2| (-923 (-1201))) (|has| |#2| (-1074))))) (((#0=(-420 (-577)) #0#) . T) (($ $) . T)) ((((-577)) . T)) (((|#1|) . T)) @@ -2933,12 +2933,12 @@ (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-38 (-420 (-577)))) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) (|has| |#1| (-836)) (((#0=(-933 |#1|) #0#) . T) (($ $) . T) ((#1=(-420 (-577)) #1#) . T)) ((((-420 |#2|)) . T)) (|has| |#1| (-864)) -((((-1228 |#1|)) . T) (((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) +((((-1228 |#1|)) . T) (((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) (((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) . T) ((#1=(-577) #1#) . T) (($ $) . T)) ((((-933 |#1|)) . T) (($) . T) (((-420 (-577))) . T)) (((|#2|) |has| |#2| (-1074)) (((-577)) -12 (|has| |#2| (-654 (-577))) (|has| |#2| (-1074)))) @@ -2955,36 +2955,36 @@ (((|#2|) |has| |#2| (-174))) (((|#1|) . T)) (((|#2|) . T)) -(-3803 (|has| |#1| (-146)) (|has| |#1| (-380))) -(-3803 (|has| |#1| (-146)) (|has| |#1| (-380))) -(-3803 (|has| |#1| (-146)) (|has| |#1| (-380))) -((((-2 (|:| -2350 (-1201)) (|:| -2911 (-52)))) . T)) +(-2811 (|has| |#1| (-146)) (|has| |#1| (-380))) +(-2811 (|has| |#1| (-146)) (|has| |#1| (-380))) +(-2811 (|has| |#1| (-146)) (|has| |#1| (-380))) +((((-2 (|:| -4323 (-1201)) (|:| -2438 (-52)))) . T)) ((((-577) |#3|) . T)) (((|#1|) . T)) -(((#0=(-52)) . T) (((-2 (|:| -2350 (-1201)) (|:| -2911 #0#))) . T)) +(((#0=(-52)) . T) (((-2 (|:| -4323 (-1201)) (|:| -2438 #0#))) . T)) (|has| |#1| (-361)) ((((-577)) . T)) ((((-880)) . T)) (((|#1|) . T)) (((#0=(-1278 |#1| |#2| |#3| |#4|) $) |has| #0# (-297 #0# #0#))) (|has| |#1| (-375)) -(-3803 (-12 (|has| |#2| (-239)) (|has| |#2| (-1074))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1074)))) -(((|#1|) -3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-1074))) (($) -3803 (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074))) (((-577)) -3803 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074)))) +(-2811 (-12 (|has| |#2| (-239)) (|has| |#2| (-1074))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1074)))) +(((|#1|) -2811 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-1074))) (($) -2811 (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074))) (((-577)) -2811 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074)))) (((#0=(-1107) |#1|) . T) ((#0# $) . T) (($ $) . T)) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-361))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-361))) (((#0=(-420 (-577)) #0#) . T) ((#1=(-715) #1#) . T) (($ $) . T)) ((((-327 |#1|)) . T) (($) . T)) (((|#1|) . T) (((-420 (-577))) |has| |#1| (-375))) ((((-880)) . T)) (|has| |#1| (-1125)) (((|#1|) . T)) -(((|#1|) -3803 (|has| |#2| (-379 |#1|)) (|has| |#2| (-430 |#1|)))) -(((|#1|) -3803 (|has| |#2| (-379 |#1|)) (|has| |#2| (-430 |#1|)))) +(((|#1|) -2811 (|has| |#2| (-379 |#1|)) (|has| |#2| (-430 |#1|)))) +(((|#1|) -2811 (|has| |#2| (-379 |#1|)) (|has| |#2| (-430 |#1|)))) (((|#2|) . T)) ((((-420 (-577))) . T) (((-715)) . T) (($) . T)) ((((-592)) . T)) (((|#3| |#3|) . T)) -((($ (-1201)) -3803 (|has| |#2| (-921 (-1201))) (|has| |#2| (-923 (-1201))))) +((($ (-1201)) -2811 (|has| |#2| (-921 (-1201))) (|has| |#2| (-923 (-1201))))) (|has| |#1| (-865)) (|has| |#2| (-239)) ((((-882 |#1|)) . T)) @@ -3005,10 +3005,10 @@ (|has| |#1| (-1125)) (((|#2|) . T)) (((|#1|) . T)) -((($) -3803 (|has| |#1| (-239)) (|has| |#1| (-238)))) +((($) -2811 (|has| |#1| (-239)) (|has| |#1| (-238)))) ((((-577)) . T)) (((|#2|) . T) (((-420 (-577))) |has| |#1| (-1063 (-420 (-577)))) ((|#1|) . T) (($) . T) (((-577)) . T)) -(-3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) +(-2811 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) (((|#2|) . T) (((-577)) |has| |#2| (-654 (-577)))) (((|#1| |#2|) . T)) ((($) . T)) @@ -3051,7 +3051,7 @@ (|has| |#2| (-1047)) ((($) . T)) (|has| |#1| (-932)) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) (((|#4|) . T)) ((($) . T)) (((|#2|) . T)) @@ -3061,32 +3061,32 @@ (|has| |#1| (-375)) ((((-933 |#1|)) . T)) ((($) . T) (((-577)) . T) ((|#1|) . T) (((-420 (-577))) . T)) -((($) -3803 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) -((($) |has| |#1| (-864)) (((-577)) -3803 (|has| |#1| (-21)) (|has| |#1| (-864)))) +((($) -2811 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) |has| |#1| (-864)) (((-577)) -2811 (|has| |#1| (-21)) (|has| |#1| (-864)))) ((($ $) . T) ((#0=(-420 (-577)) #0#) . T)) -(-3803 (|has| |#1| (-380)) (|has| |#1| (-865))) +(-2811 (|has| |#1| (-380)) (|has| |#1| (-865))) (((|#1|) . T)) ((((-787)) . T)) ((((-880)) . T)) ((((-1201)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-921 (-1201))))) ((((-420 |#2|) |#3|) . T)) -(-3803 (-12 (|has| |#3| (-239)) (|has| |#3| (-1074))) (-12 (|has| |#3| (-238)) (|has| |#3| (-1074)))) +(-2811 (-12 (|has| |#3| (-239)) (|has| |#3| (-1074))) (-12 (|has| |#3| (-238)) (|has| |#3| (-1074)))) ((($) . T) (((-420 (-577))) . T)) ((($) . T) (((-577)) . T) (((-420 (-577))) . T) (((-625 $)) . T)) ((((-577)) . T) (($) . T)) ((((-577)) . T) (($) . T)) ((((-787) |#1|) . T)) -(((|#2| (-246 (-2003 |#1|) (-787))) . T)) +(((|#2| (-246 (-3501 |#1|) (-787))) . T)) (((|#1| (-544 |#3|)) . T)) ((((-420 (-577))) . T)) -(-3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) +(-2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((((-1183)) . T) (((-880)) . T)) -(((#0=(-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) #0#) |has| (-2 (|:| -2350 (-1201)) (|:| -2911 (-52))) (-320 (-2 (|:| -2350 (-1201)) (|:| -2911 (-52)))))) +(((#0=(-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) #0#) |has| (-2 (|:| -4323 (-1201)) (|:| -2438 (-52))) (-320 (-2 (|:| -4323 (-1201)) (|:| -2438 (-52)))))) ((((-1183)) . T)) (|has| |#1| (-932)) (|has| |#2| (-375)) (((|#1|) . T) (($) . T) (((-577)) . T)) -(-3803 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-809)) (|has| |#2| (-1074))) +(-2811 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-809)) (|has| |#2| (-1074))) ((((-171 (-391))) . T) (((-228)) . T) (((-391)) . T)) ((((-880)) . T)) (((|#1|) . T)) @@ -3103,11 +3103,11 @@ (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-38 (-420 (-577)))) -(-3803 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361))) +(-2811 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361))) (|has| |#1| (-38 (-420 (-577)))) (-12 (|has| |#1| (-558)) (|has| |#1| (-844))) ((((-880)) . T)) -((((-1201)) -3803 (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-921 (-1201)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-921 (-1201)))))) +((((-1201)) -2811 (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-921 (-1201)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-921 (-1201)))))) (|has| |#1| (-375)) ((((-1201)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-921 (-1201))))) (|has| |#1| (-375)) @@ -3120,13 +3120,13 @@ ((((-577) |#1|) . T)) ((((-1201)) |has| |#1| (-921 (-1201)))) (((|#1|) . T)) -(-3803 (-12 (|has| |#1| (-239)) (|has| |#1| (-375))) (-12 (|has| |#1| (-238)) (|has| |#1| (-375))) (|has| |#1| (-361))) +(-2811 (-12 (|has| |#1| (-239)) (|has| |#1| (-375))) (-12 (|has| |#1| (-238)) (|has| |#1| (-375))) (|has| |#1| (-361))) (((|#2|) |has| |#1| (-375))) (((|#2|) |has| |#1| (-375))) -(-3803 (|has| |#4| (-809)) (|has| |#4| (-865))) -(-3803 (|has| |#3| (-809)) (|has| |#3| (-865))) +(-2811 (|has| |#4| (-809)) (|has| |#4| (-865))) +(-2811 (|has| |#3| (-809)) (|has| |#3| (-865))) ((((-577)) . T) (($) . T)) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) (((|#1|) . T)) (((|#1|) . T)) (((|#1|) |has| |#1| (-174))) @@ -3161,32 +3161,32 @@ ((((-391)) -12 (|has| |#1| (-375)) (|has| |#2| (-905 (-391)))) (((-577)) -12 (|has| |#1| (-375)) (|has| |#2| (-905 (-577))))) (((|#1|) . T)) ((($) . T) (((-577)) . T) ((|#2|) . T)) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-569))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-569))) (((|#3|) . T)) ((((-1183)) . T) (((-519)) . T) (((-228)) . T) (((-577)) . T)) (((|#1|) . T)) (|has| |#1| (-375)) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-569))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-569))) (|has| |#1| (-375)) (|has| |#1| (-569)) (((|#4| |#4|) -12 (|has| |#4| (-320 |#4|)) (|has| |#4| (-1125)))) ((((-420 |#2|)) . T) (((-420 (-577))) . T) (($) . T) (((-577)) . T)) -(-3803 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-809)) (|has| |#2| (-1074))) +(-2811 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-809)) (|has| |#2| (-1074))) (((|#2|) . T)) (((|#2|) . T)) (|has| |#2| (-1074)) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) -((((-2 (|:| -2350 (-1183)) (|:| -2911 |#1|))) . T)) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) +((((-2 (|:| -4323 (-1183)) (|:| -2438 |#1|))) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) (|has| |#1| (-38 (-420 (-577)))) (((|#1| |#2|) . T)) (|has| |#1| (-38 (-420 (-577)))) -(-3803 (|has| |#1| (-146)) (|has| |#1| (-380))) +(-2811 (|has| |#1| (-146)) (|has| |#1| (-380))) ((($) . T)) (|has| |#1| (-148)) -(-3803 (|has| |#1| (-146)) (|has| |#1| (-380))) +(-2811 (|has| |#1| (-146)) (|has| |#1| (-380))) (|has| |#1| (-148)) -(-3803 (|has| |#1| (-146)) (|has| |#1| (-380))) +(-2811 (|has| |#1| (-146)) (|has| |#1| (-380))) (|has| |#1| (-148)) ((($) . T)) ((((-594 |#1|)) . T)) @@ -3202,7 +3202,7 @@ ((((-420 (-577))) |has| |#2| (-1063 (-577))) (((-577)) |has| |#2| (-1063 (-577))) (((-1201)) |has| |#2| (-1063 (-1201))) ((|#2|) . T)) (((#0=(-420 |#2|) #0#) . T) ((#1=(-420 (-577)) #1#) . T) (($ $) . T)) (((|#1|) . T)) -(-3803 (|has| |#1| (-146)) (|has| |#1| (-361))) +(-2811 (|has| |#1| (-146)) (|has| |#1| (-361))) (|has| |#1| (-148)) ((((-880)) . T)) ((($) . T)) @@ -3222,15 +3222,15 @@ ((((-420 |#2|)) . T)) ((((-880)) . T)) (((|#1|) . T)) -((((-1201)) -3803 (|has| |#1| (-921 (-1201))) (|has| |#1| (-923 (-1201))))) -(-3803 (|has| |#1| (-102)) (|has| |#1| (-1125))) +((((-1201)) -2811 (|has| |#1| (-921 (-1201))) (|has| |#1| (-923 (-1201))))) +(-2811 (|has| |#1| (-102)) (|has| |#1| (-1125))) (|has| |#1| (-807)) (|has| |#1| (-807)) ((((-880)) . T)) ((((-933 |#1|)) . T) (((-420 (-577))) . T) (($) . T) (((-577)) . T)) ((((-880)) . T)) ((((-549)) |has| |#1| (-627 (-549)))) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-865)) (|has| |#1| (-1125)))) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-865)) (|has| |#1| (-1125)))) ((((-115)) . T) ((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) @@ -3239,7 +3239,7 @@ ((((-1278 |#1| |#2| |#3| |#4|)) . T) (($) . T) (((-420 (-577))) . T)) (((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-569)) (((-420 (-577))) |has| |#1| (-569))) ((((-880)) . T)) -(-3803 (-12 (|has| |#2| (-239)) (|has| |#2| (-1074))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1074)))) +(-2811 (-12 (|has| |#2| (-239)) (|has| |#2| (-1074))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1074)))) ((((-880)) . T)) (((|#2|) . T)) (((|#2|) . T)) @@ -3252,10 +3252,10 @@ ((((-880)) . T)) (((|#2|) . T)) ((((-577)) . T)) -((((-1201)) -3803 (|has| (-420 |#2|) (-921 (-1201))) (|has| (-420 |#2|) (-923 (-1201))))) +((((-1201)) -2811 (|has| (-420 |#2|) (-921 (-1201))) (|has| (-420 |#2|) (-923 (-1201))))) ((((-880)) . T)) ((((-577)) . T)) -(-3803 (|has| |#2| (-809)) (|has| |#2| (-865))) +(-2811 (|has| |#2| (-809)) (|has| |#2| (-865))) ((((-171 (-391))) . T) (((-228)) . T) (((-391)) . T)) ((((-880)) . T)) ((((-880)) . T)) @@ -3267,11 +3267,11 @@ (((|#1|) . T) (($) . T) (((-420 (-577))) . T)) (|has| |#1| (-375)) (|has| |#1| (-375)) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) ((((-880)) . T)) ((((-577) $) . T) (((-660 (-577)) $) . T)) -(-3803 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-486)) (|has| |#1| (-742)) (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074)) (|has| |#1| (-1137)) (|has| |#1| (-1125))) +(-2811 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-486)) (|has| |#1| (-742)) (|has| |#1| (-921 (-1201))) (|has| |#1| (-1074)) (|has| |#1| (-1137)) (|has| |#1| (-1125))) (|has| |#1| (-1177)) ((((-933 |#1|)) . T) (((-420 (-577))) . T) (($) . T)) ((($) . T)) @@ -3281,22 +3281,22 @@ (((#0=(-117 |#1|) $) |has| #0# (-297 #0# #0#))) (((|#1|) |has| |#1| (-174))) ((((-327 |#1|)) . T) (((-577)) . T)) -(-3803 (|has| |#2| (-239)) (|has| |#2| (-238))) +(-2811 (|has| |#2| (-239)) (|has| |#2| (-238))) (((|#1|) . T)) (((|#1| |#1|) . T)) ((((-880)) . T)) (((|#1|) . T)) ((((-115)) . T) ((|#1|) . T)) ((((-880)) . T)) -((((-1201)) -3803 (|has| |#2| (-921 (-1201))) (|has| |#2| (-923 (-1201))))) +((((-1201)) -2811 (|has| |#2| (-921 (-1201))) (|has| |#2| (-923 (-1201))))) (((|#1|) |has| |#1| (-320 |#1|))) ((((-577) |#1|) . T) (((-1259 (-577)) $) . T)) (((|#1| |#2|) . T)) ((((-1201) |#1|) . T)) -(((|#1|) -3803 (|has| |#1| (-174)) (|has| |#1| (-375)))) +(((|#1|) -2811 (|has| |#1| (-174)) (|has| |#1| (-375)))) (((|#1|) . T)) ((($ (-1201)) . T)) -(((|#1|) -3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-1074)))) +(((|#1|) -2811 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-1074)))) ((((-577)) . T) (((-420 (-577))) . T)) (((|#1|) . T)) (|has| |#1| (-569)) @@ -3305,15 +3305,15 @@ (((|#1|) . T)) (((|#1|) . T)) ((((-420 |#2|)) . T) (((-420 (-577))) . T) (($) . T)) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-569))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-569))) (|has| |#1| (-375)) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-569))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-569))) (|has| |#1| (-375)) (|has| |#1| (-569)) ((($) . T)) (|has| |#1| (-1125)) ((((-796 |#1| (-882 |#2|))) |has| (-796 |#1| (-882 |#2|)) (-320 (-796 |#1| (-882 |#2|))))) -(-3803 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) +(-2811 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) (((|#1|) . T)) (((|#2| |#3|) . T)) (((|#1|) . T)) @@ -3322,17 +3322,17 @@ (((|#1| (-787)) . T)) (|has| |#1| (-239)) (((|#1| (-544 (-1113 (-1201)))) . T)) -((($) -3803 (-12 (|has| |#2| (-239)) (|has| |#2| (-1074))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1074))))) +((($) -2811 (-12 (|has| |#2| (-239)) (|has| |#2| (-1074))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1074))))) ((((-594 |#1|)) . T) (((-420 (-577))) . T) (($) . T) (((-577)) . T)) ((((-577)) . T) (((-420 (-577))) . T) (($) . T)) -((((-2 (|:| -2350 (-1183)) (|:| -2911 (-52)))) . T)) +((((-2 (|:| -4323 (-1183)) (|:| -2438 (-52)))) . T)) (((|#1|) . T)) (((|#1|) . T) (((-577)) . T)) (((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) (|has| |#2| (-375)) ((((-880)) . T)) ((((-880)) . T)) -(-3803 (|has| |#3| (-809)) (|has| |#3| (-865))) +(-2811 (|has| |#3| (-809)) (|has| |#3| (-865))) ((((-880)) . T)) ((((-1145)) . T) (((-880)) . T)) ((((-549)) . T) (((-880)) . T)) @@ -3343,14 +3343,14 @@ ((((-577)) . T)) (((|#3|) . T)) ((((-880)) . T)) -(-3803 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361))) -((((-577)) . T) (((-420 (-577))) -3803 (|has| |#2| (-38 (-420 (-577)))) (|has| |#2| (-1063 (-420 (-577))))) ((|#2|) . T) (($) -3803 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) (((-882 |#1|)) . T)) -((((-1150 |#1| |#2|)) . T) ((|#2|) . T) (($) -3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1063 (-420 (-577))))) (((-577)) . T)) -((((-1197 |#1|)) . T) (((-577)) . T) (($) -3803 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) (((-1107)) . T) ((|#1|) . T) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1063 (-420 (-577)))))) -(-3803 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-569)) (|has| |#1| (-1074))) +(-2811 (|has| |#1| (-318)) (|has| |#1| (-375)) (|has| |#1| (-361))) +((((-577)) . T) (((-420 (-577))) -2811 (|has| |#2| (-38 (-420 (-577)))) (|has| |#2| (-1063 (-420 (-577))))) ((|#2|) . T) (($) -2811 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) (((-882 |#1|)) . T)) +((((-1150 |#1| |#2|)) . T) ((|#2|) . T) (($) -2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1063 (-420 (-577))))) (((-577)) . T)) +((((-1197 |#1|)) . T) (((-577)) . T) (($) -2811 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) (((-1107)) . T) ((|#1|) . T) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1063 (-420 (-577)))))) +(-2811 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-569)) (|has| |#1| (-1074))) (((#0=(-594 |#1|) #0#) . T) (($ $) . T) ((#1=(-420 (-577)) #1#) . T)) ((($ $) . T) ((#0=(-420 (-577)) #0#) . T)) -((((-1150 |#1| (-1201))) . T) (((-577)) . T) (((-1113 (-1201))) . T) (($) -3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1063 (-420 (-577))))) (((-1201)) . T)) +((((-1150 |#1| (-1201))) . T) (((-577)) . T) (((-1113 (-1201))) . T) (($) -2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1063 (-420 (-577))))) (((-1201)) . T)) (((|#1|) |has| |#1| (-174))) (((|#1| (-1292 |#1|) (-1292 |#1|)) . T)) ((((-594 |#1|)) . T) (($) . T) (((-420 (-577))) . T)) @@ -3365,7 +3365,7 @@ ((((-420 (-577))) |has| |#1| (-1063 (-420 (-577)))) ((|#1|) . T) (((-577)) . T)) (((|#1|) . T)) ((((-880)) . T)) -(((#0=(-420 (-577)) #0#) |has| |#2| (-38 (-420 (-577)))) ((|#2| |#2|) . T) (($ $) -3803 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932)))) +(((#0=(-420 (-577)) #0#) |has| |#2| (-38 (-420 (-577)))) ((|#2| |#2|) . T) (($ $) -2811 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932)))) (((|#2| |#2|) . T) ((|#6| |#6|) . T)) ((((-305 |#3|)) . T)) (((|#1|) . T)) @@ -3374,30 +3374,30 @@ (((|#1|) . T) (((-420 (-577))) . T) (($) . T)) (((|#1|) . T) (((-420 (-577))) . T) (($) . T)) (((|#1|) . T) (((-420 (-577))) . T) (($) . T)) -((($ $) -3803 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577))))) -((($ $) -3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577))))) +((($ $) -2811 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577))))) +((($ $) -2811 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577))))) (((|#2|) . T)) -((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T) (($) -3803 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932)))) +((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T) (($) -2811 (|has| |#2| (-174)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932)))) (((|#2|) . T) ((|#6|) . T)) -((($ $) -3803 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577))))) +((($ $) -2811 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1| |#1|) . T) ((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577))))) ((((-880)) . T)) -((($) -3803 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) -((($) -3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) (|has| |#2| (-932)) (|has| |#1| (-932)) -((($) -3803 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-174)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) ((((-880)) . T)) (((|#1|) . T)) (((|#1|) . T)) -((((-2 (|:| -2350 (-1183)) (|:| -2911 |#1|))) . T)) +((((-2 (|:| -4323 (-1183)) (|:| -2438 |#1|))) . T)) (((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) (((|#1| |#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) -(-3803 (|has| |#2| (-809)) (|has| |#2| (-865))) -(-3803 (|has| |#1| (-102)) (|has| |#1| (-1125))) +(-2811 (|has| |#2| (-809)) (|has| |#2| (-865))) +(-2811 (|has| |#1| (-102)) (|has| |#1| (-1125))) (((|#1|) . T)) (((|#1|) . T) (($) . T) (((-420 (-577))) . T)) ((((-1201)) . T) ((|#1|) . T)) @@ -3409,15 +3409,15 @@ (((#0=(-420 (-577)) #0#) . T)) ((((-420 (-577))) . T)) (((|#1|) |has| |#1| (-174))) -(-3803 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1074))) +(-2811 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-1074))) (((|#1|) . T)) (((|#1|) . T)) -(-3803 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-809)) (|has| |#2| (-1074))) +(-2811 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-809)) (|has| |#2| (-1074))) (((|#1|) . T)) ((((-420 (-577))) . T) (((-577)) . T) (($) . T)) ((((-549)) . T)) ((((-880)) . T)) -((($) -3803 (-12 (|has| |#3| (-239)) (|has| |#3| (-1074))) (-12 (|has| |#3| (-238)) (|has| |#3| (-1074))))) +((($) -2811 (-12 (|has| |#3| (-239)) (|has| |#3| (-1074))) (-12 (|has| |#3| (-238)) (|has| |#3| (-1074))))) (|has| |#1| (-865)) ((((-880)) . T)) ((((-577)) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-569))) @@ -3433,21 +3433,21 @@ ((($ $) . T) ((#0=(-420 (-577)) #0#) . T)) ((((-1201)) |has| |#1| (-921 (-1201)))) ((((-933 |#1|)) . T) (((-420 (-577))) . T) (($) . T)) -((($) . T) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) . T)) -(((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))) ((|#1| |#1|) . T) (($ $) -3803 (|has| |#1| (-174)) (|has| |#1| (-569)))) +((($) . T) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#1|) . T)) +(((#0=(-420 (-577)) #0#) |has| |#1| (-38 (-420 (-577)))) ((|#1| |#1|) . T) (($ $) -2811 (|has| |#1| (-174)) (|has| |#1| (-569)))) ((((-420 |#2|)) . T) (((-420 (-577))) . T) (($) . T)) ((($) . T) (((-420 (-577))) . T)) (((|#1|) . T) (((-420 (-577))) . T) (((-577)) . T) (($) . T)) (((|#2|) |has| |#2| (-1074)) (((-577)) -12 (|has| |#2| (-654 (-577))) (|has| |#2| (-1074)))) ((((-420 |#2|)) . T) (((-420 (-577))) . T) (($) . T)) -((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -3803 (|has| |#1| (-174)) (|has| |#1| (-569)))) +((((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (($) -2811 (|has| |#1| (-174)) (|has| |#1| (-569)))) (|has| |#1| (-569)) (((|#1|) |has| |#1| (-375))) ((((-577)) . T)) ((((-1201) #0=(-117 |#1|)) |has| #0# (-527 (-1201) #0#)) ((#0# #0#) |has| #0# (-320 #0#))) (|has| |#1| (-807)) (|has| |#1| (-807)) -((((-1201)) -3803 (|has| |#1| (-921 (-1201))) (|has| |#1| (-923 (-1201))))) +((((-1201)) -2811 (|has| |#1| (-921 (-1201))) (|has| |#1| (-923 (-1201))))) (((|#2|) . T) (((-577)) |has| |#2| (-1063 (-577))) (((-420 (-577))) |has| |#2| (-1063 (-420 (-577))))) ((((-1107)) . T) ((|#2|) . T) (((-577)) |has| |#2| (-1063 (-577))) (((-420 (-577))) |has| |#2| (-1063 (-420 (-577))))) (((|#1|) . T)) @@ -3467,11 +3467,11 @@ ((($) |has| |#1| (-380))) (|has| |#2| (-836)) (|has| |#2| (-836)) -((((-577)) -12 (|has| |#1| (-375)) (|has| |#2| (-654 (-577)))) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#2|) |has| |#1| (-375)) (($) . T) ((|#1|) . T)) +((((-577)) -12 (|has| |#1| (-375)) (|has| |#2| (-654 (-577)))) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#2|) |has| |#1| (-375)) (($) . T) ((|#1|) . T)) ((($ (-1201)) |has| |#1| (-921 (-1201)))) (((|#1|) . T) (((-577)) |has| |#1| (-1063 (-577))) (((-420 (-577))) |has| |#1| (-1063 (-420 (-577))))) -((($) -3803 (-12 (|has| |#1| (-239)) (|has| |#1| (-375))) (-12 (|has| |#1| (-238)) (|has| |#1| (-375))) (|has| |#1| (-361)))) -(((|#1|) . T) (((-420 (-577))) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) . T)) +((($) -2811 (-12 (|has| |#1| (-239)) (|has| |#1| (-375))) (-12 (|has| |#1| (-238)) (|has| |#1| (-375))) (|has| |#1| (-361)))) +(((|#1|) . T) (((-420 (-577))) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) (($) . T)) (((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) ((((-577)) |has| |#1| (-905 (-577))) (((-391)) |has| |#1| (-905 (-391)))) (((|#1|) . T)) @@ -3486,7 +3486,7 @@ (|has| |#1| (-375)) (|has| |#1| (-375)) (((|#4|) -12 (|has| |#4| (-320 |#4|)) (|has| |#4| (-1125)))) -(((|#2|) -3803 (|has| |#2| (-6 (-4472 "*"))) (|has| |#2| (-174)))) +(((|#2|) -2811 (|has| |#2| (-6 (-4472 "*"))) (|has| |#2| (-174)))) (((|#2|) . T)) (|has| |#1| (-375)) (((|#2|) . T)) @@ -3500,12 +3500,12 @@ (((|#2| (-787)) . T)) ((((-1201)) . T)) ((((-888 |#1|)) . T)) -(-3803 (|has| |#3| (-21)) (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-1074))) -(-3803 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-809)) (|has| |#3| (-1074))) +(-2811 (|has| |#3| (-21)) (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-1074))) +(-2811 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-809)) (|has| |#3| (-1074))) ((((-880)) . T)) (((|#1|) . T)) -(-3803 (|has| |#2| (-809)) (|has| |#2| (-865))) -(-3803 (-12 (|has| |#1| (-809)) (|has| |#2| (-809))) (-12 (|has| |#1| (-865)) (|has| |#2| (-865)))) +(-2811 (|has| |#2| (-809)) (|has| |#2| (-865))) +(-2811 (-12 (|has| |#1| (-809)) (|has| |#2| (-809))) (-12 (|has| |#1| (-865)) (|has| |#2| (-865)))) ((((-888 |#1|)) . T)) (((|#1|) . T)) (|has| |#1| (-380)) @@ -3523,7 +3523,7 @@ (((|#1|) . T)) ((((-880)) . T)) ((($) . T) ((|#2|) . T) (((-420 (-577))) . T) (((-577)) |has| |#2| (-654 (-577)))) -(-3803 (|has| |#1| (-102)) (|has| |#1| (-1125))) +(-2811 (|has| |#1| (-102)) (|has| |#1| (-1125))) (((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) (((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) (((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) @@ -3532,7 +3532,7 @@ (((|#1|) . T)) ((((-880)) . T)) (|has| |#2| (-932)) -((((-2 (|:| -2350 (-1201)) (|:| -2911 (-52)))) . T)) +((((-2 (|:| -4323 (-1201)) (|:| -2438 (-52)))) . T)) ((((-549)) |has| |#2| (-627 (-549))) (((-911 (-391))) |has| |#2| (-627 (-911 (-391)))) (((-911 (-577))) |has| |#2| (-627 (-911 (-577))))) ((((-880)) . T)) ((((-880)) . T)) @@ -3543,7 +3543,7 @@ ((((-1197 |#1|)) . T) (((-880)) . T)) ((((-880)) . T)) ((((-420 (-577))) |has| |#2| (-1063 (-420 (-577)))) (((-577)) |has| |#2| (-1063 (-577))) ((|#2|) . T) (((-882 |#1|)) . T)) -((((-1201)) -3803 (|has| |#1| (-921 (-1201))) (|has| |#1| (-923 (-1201)))) (((-1107)) . T)) +((((-1201)) -2811 (|has| |#1| (-921 (-1201))) (|has| |#1| (-923 (-1201)))) (((-1107)) . T)) ((((-117 |#1|)) . T) (($) . T) (((-420 (-577))) . T)) ((((-420 (-577))) |has| |#1| (-1063 (-420 (-577)))) (((-577)) |has| |#1| (-1063 (-577))) ((|#1|) . T) (((-1201)) . T)) ((((-880)) . T)) @@ -3563,10 +3563,10 @@ ((((-660 |#1|)) . T)) ((($) |has| |#1| (-15 * (|#1| (-420 (-577)) |#1|)))) ((($) . T) (((-577)) . T) (((-1278 |#1| |#2| |#3| |#4|)) . T) (((-420 (-577))) . 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T)) @@ -3581,16 +3581,16 @@ ((((-420 |#2|) |#3|) . T)) (((|#1|) . T)) ((((-880)) . T)) -(-3803 (|has| |#1| (-102)) (|has| |#1| (-1125))) -(((|#2| (-495 (-2003 |#1|) (-787))) . T)) +(-2811 (|has| |#1| (-102)) (|has| |#1| (-1125))) +(((|#2| (-495 (-3501 |#1|) (-787))) . T)) ((((-577) |#1|) . T)) ((((-1183)) . T) (((-880)) . T)) (((|#2| |#2|) . T)) (((|#1| (-544 (-1201))) . T)) -(-3803 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-809)) (|has| |#2| (-1074))) +(-2811 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-809)) (|has| |#2| (-1074))) ((((-577)) . T)) (((|#2|) . T)) -((($) -3803 (-12 (|has| |#2| (-239)) (|has| |#2| (-1074))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1074))))) +((($) -2811 (-12 (|has| |#2| (-239)) (|has| |#2| (-1074))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1074))))) (((|#2|) . T)) ((((-1201)) |has| |#1| (-921 (-1201))) (((-1107)) . T)) (((|#1|) . T) (((-577)) |has| |#1| (-654 (-577)))) @@ -3599,9 +3599,9 @@ ((($) . T) (((-420 (-577))) . T)) ((($) . T)) ((($) . T)) -(-3803 (|has| |#1| (-865)) (|has| |#1| (-1125))) +(-2811 (|has| |#1| (-865)) (|has| |#1| (-1125))) (((|#1|) . T)) -((($) -3803 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) ((((-880)) . T)) ((((-145)) . T)) (((|#1|) . T) (((-420 (-577))) . T)) @@ -3610,7 +3610,7 @@ ((((-880)) . T)) (((|#1|) . T)) (|has| |#1| (-1177)) -((($ (-1201)) -3803 (|has| (-420 |#2|) (-921 (-1201))) (|has| (-420 |#2|) (-923 (-1201))))) +((($ (-1201)) -2811 (|has| (-420 |#2|) (-921 (-1201))) (|has| (-420 |#2|) (-923 (-1201))))) (((|#1|) . T)) (((|#1| (-544 (-882 |#2|)) (-882 |#2|) (-796 |#1| (-882 |#2|))) . T)) ((((-420 $) (-420 $)) |has| |#1| (-569)) (($ $) . T) ((|#1| |#1|) . T)) @@ -3635,44 +3635,44 @@ (|has| |#1| (-1125)) (|has| |#1| (-1125)) (|has| |#2| (-375)) -(((|#1|) . T) (($) -3803 (|has| |#1| (-301)) (|has| |#1| (-375))) (((-420 (-577))) |has| |#1| (-375))) +(((|#1|) . T) (($) -2811 (|has| |#1| (-301)) (|has| |#1| (-375))) (((-420 (-577))) |has| |#1| (-375))) (|has| |#1| (-375)) (|has| |#1| (-375)) -((($) -3803 (|has| |#2| (-239)) (|has| |#2| (-238)))) +((($) -2811 (|has| |#2| (-239)) (|has| |#2| (-238)))) ((((-577)) . T)) (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-1125)) -((($ (-1201)) -3803 (|has| |#2| (-921 (-1201))) (|has| |#2| (-923 (-1201))))) +((($ (-1201)) -2811 (|has| |#2| (-921 (-1201))) (|has| |#2| (-923 (-1201))))) ((((-1201)) -12 (|has| |#4| (-921 (-1201))) (|has| |#4| (-1074)))) ((((-1201)) -12 (|has| |#3| (-921 (-1201))) (|has| |#3| (-1074)))) (((|#1|) . T)) (|has| |#1| (-239)) -(((|#2| (-246 (-2003 |#1|) (-787))) . T)) +(((|#2| (-246 (-3501 |#1|) (-787))) . 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T) (((-577)) |has| |#1| (-1063 (-577))) (((-420 (-577))) |has| |#1| (-1063 (-420 (-577)))) (((-1201)) . T)) ((($) . T)) @@ -3800,12 +3800,12 @@ (((#0=(-1278 |#1| |#2| |#3| |#4|)) |has| #0# (-320 #0#))) ((($) . T)) (((|#1|) . T)) -((($ $) -3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((#0=(-420 (-577)) #0#) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#2| |#2|) |has| |#1| (-375)) ((|#1| |#1|) . T)) -(((|#1| |#1|) . T) (($ $) -3803 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((#0=(-420 (-577)) #0#) -3803 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375)))) +((($ $) -2811 (|has| |#1| (-174)) (|has| |#1| (-375)) (|has| |#1| (-569))) ((#0=(-420 (-577)) #0#) -2811 (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-375))) ((|#2| |#2|) |has| |#1| (-375)) ((|#1| |#1|) . T)) +(((|#1| |#1|) . 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T)) (((|#2| |#2|) . T) ((#0=(-420 (-577)) #0#) . T) (($ $) . T)) (((|#2|) . T) (((-420 (-577))) . T) (($) . T)) @@ -3876,7 +3876,7 @@ ((((-880)) . T)) ((((-880)) . T)) ((((-880)) . T)) -(-3803 (|has| |#1| (-239)) (|has| |#1| (-238))) +(-2811 (|has| |#1| (-239)) (|has| |#1| (-238))) (((|#1|) . T) (((-880)) . T) (((-1206)) . T)) ((((-1206)) . T)) ((((-880)) . T)) @@ -3885,23 +3885,23 @@ ((($) . T) (((-577)) . T) (((-117 |#1|)) . T) (((-420 (-577))) . T)) ((((-651 |#2|)) . T)) (((|#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) -((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -3803 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932)))) +((((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) |has| |#2| (-174)) (($) -2811 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932)))) (((|#2|) . T) ((|#6|) . T)) ((($) . T) (((-420 (-577))) |has| |#2| (-38 (-420 (-577)))) ((|#2|) . T) (((-577)) |has| |#2| (-654 (-577)))) ((($) . T) (((-577)) . T)) (((|#1| (-544 (-882 |#2|)) (-882 |#2|) (-796 |#1| (-882 |#2|))) . T)) -((($) -3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) ((((-1129)) . T)) ((((-880)) . T)) ((((-1206)) . T) (((-880)) . T)) ((((-1206)) . T) (((-880)) . T)) ((((-1206)) . T)) ((((-1206)) . T)) -((($) -3803 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) ((($) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (((-577)) |has| |#1| (-654 (-577)))) ((($) . T) (((-577)) . T)) (|has| |#2| (-932)) -((($) -3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) +((($) -2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((|#1|) |has| |#1| (-174)) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) (((|#1| |#2| (-246 |#1| |#2|) (-246 |#1| |#2|)) . T)) ((((-880)) . T)) (((|#1|) . T)) @@ -3916,9 +3916,9 @@ (((|#1| |#1|) |has| |#1| (-174))) ((((-715)) . T)) ((((-715)) . T)) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) ((((-1206)) . T)) -(-3803 (|has| |#2| (-809)) (|has| |#2| (-865))) +(-2811 (|has| |#2| (-809)) (|has| |#2| (-865))) (((|#1|) |has| |#1| (-174))) ((((-1206)) . T)) (((|#1| |#1|) . T)) @@ -3931,19 +3931,19 @@ (((|#1| (-577)) . T)) (((|#1|) . T)) ((((-420 (-577))) . T) (((-577)) . T) (($) . T)) -((($ (-1201)) -3803 (|has| |#1| (-921 (-1201))) (|has| |#1| (-923 (-1201)))) (($ (-1107)) . T)) +((($ (-1201)) -2811 (|has| |#1| (-921 (-1201))) (|has| |#1| (-923 (-1201)))) (($ (-1107)) . T)) (((|#1|) |has| |#1| (-174))) ((((-1206)) . T)) ((((-1206)) . T)) ((((-1206)) . T)) ((((-1206)) . T)) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-361))) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-361))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-361))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-361))) ((((-1206)) . T)) ((((-1206)) . T)) (|has| |#1| (-375)) (|has| |#1| (-375)) -(-3803 (|has| |#1| (-174)) (|has| |#1| (-569))) +(-2811 (|has| |#1| (-174)) (|has| |#1| (-569))) (((|#1| (-577)) . T)) (((|#1| (-420 (-577))) . T)) (((|#1| (-787)) . T)) @@ -3951,24 +3951,24 @@ (((|#1| (-544 |#2|) |#2|) . T)) ((((-577) |#1|) . T)) ((((-577) |#1|) . T)) -(-3803 (|has| |#1| (-102)) (|has| |#1| (-1125))) -(-3803 (|has| (-420 |#2|) (-239)) (|has| (-420 |#2|) (-238))) +(-2811 (|has| |#1| (-102)) (|has| |#1| (-1125))) +(-2811 (|has| (-420 |#2|) (-239)) (|has| (-420 |#2|) (-238))) ((((-577) |#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) ((((-911 (-391))) . T) (((-911 (-577))) . T) (((-1201)) . T) (((-549)) . T)) -(-3803 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-809)) (|has| |#2| (-1074))) -(-3803 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-23)) (|has| |#2| (-23))) (-12 (|has| |#1| (-132)) (|has| |#2| (-132))) (-12 (|has| |#1| (-809)) (|has| |#2| (-809)))) +(-2811 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-375)) (|has| |#2| (-809)) (|has| |#2| (-1074))) +(-2811 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-23)) (|has| |#2| (-23))) (-12 (|has| |#1| (-132)) (|has| |#2| (-132))) (-12 (|has| |#1| (-809)) (|has| |#2| (-809)))) ((((-880)) . T)) ((((-577)) . T)) ((((-577)) . T)) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) (((|#1| |#2|) . T)) (((|#1|) . T)) ((((-1201)) -12 (|has| |#2| (-921 (-1201))) (|has| |#2| (-1074)))) (|has| |#2| (-1074)) -(-3803 (-12 (|has| |#1| (-486)) (|has| |#2| (-486))) (-12 (|has| |#1| (-742)) (|has| |#2| (-742)))) +(-2811 (-12 (|has| |#1| (-486)) (|has| |#2| (-486))) (-12 (|has| |#1| (-742)) (|has| |#2| (-742)))) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-375)) @@ -4001,7 +4001,7 @@ (((|#1| |#2|) . T)) ((((-577)) . T) ((|#2|) |has| |#2| (-174))) ((((-115)) . T) ((|#1|) . T) (((-577)) . T)) -(-3803 (|has| |#1| (-361)) (|has| |#1| (-380))) +(-2811 (|has| |#1| (-361)) (|has| |#1| (-380))) (((|#1| |#2|) . T)) ((((-228)) . T)) ((((-420 (-577))) . T) (($) . T) (((-577)) . T)) @@ -4010,11 +4010,11 @@ ((($) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((|#1|) . T) (((-577)) |has| |#1| (-654 (-577)))) ((($) . T) (((-577)) |has| |#1| (-654 (-577))) ((|#1|) . T) (((-420 (-577))) |has| |#1| (-38 (-420 (-577))))) (((|#2|) |has| |#2| (-1125)) (((-577)) -12 (|has| |#2| (-1063 (-577))) (|has| |#2| (-1125))) (((-420 (-577))) -12 (|has| |#2| (-1063 (-420 (-577)))) (|has| |#2| (-1125)))) -(-3803 (|has| |#2| (-239)) (|has| |#2| (-238))) +(-2811 (|has| |#2| (-239)) (|has| |#2| (-238))) (((|#1|) . T)) (((|#1|) . T)) ((((-549)) |has| |#1| (-627 (-549)))) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-865)) (|has| |#1| (-1125)))) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-865)) (|has| |#1| (-1125)))) ((((-577) $) . T) (((-660 (-577)) $) . T)) ((($) . T) (((-420 (-577))) . T)) (|has| |#1| (-932)) @@ -4026,14 +4026,14 @@ (((|#1| |#1|) |has| |#1| (-174))) (((|#1|) . T) (((-577)) . T)) ((((-1206)) . T)) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-569))) -(-3803 (|has| |#1| (-21)) (|has| |#1| (-864))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-569))) +(-2811 (|has| |#1| (-21)) (|has| |#1| (-864))) (((|#2|) . T)) -(-3803 (|has| |#1| (-21)) (|has| |#1| (-864))) +(-2811 (|has| |#1| (-21)) (|has| |#1| (-864))) (((|#1|) |has| |#1| (-174))) (((|#1|) . T)) (((|#1|) . T)) -((((-880)) -3803 (-12 (|has| |#1| (-626 (-880))) (|has| |#2| (-626 (-880)))) (-12 (|has| |#1| (-1125)) (|has| |#2| (-1125))))) +((((-880)) -2811 (-12 (|has| |#1| (-626 (-880))) (|has| |#2| (-626 (-880)))) (-12 (|has| |#1| (-1125)) (|has| |#2| (-1125))))) ((((-420 |#2|) |#3|) . T)) ((((-420 (-577))) . T) (($) . T)) (|has| |#1| (-38 (-420 (-577)))) @@ -4042,7 +4042,7 @@ ((($) . T) (((-577)) . T)) (|has| (-420 |#2|) (-148)) (|has| (-420 |#2|) (-146)) -(-3803 (|has| |#3| (-809)) (|has| |#3| (-865))) +(-2811 (|has| |#3| (-809)) (|has| |#3| (-865))) ((($) . T)) ((((-715)) . T)) (((|#1|) . T) (((-420 (-577))) . T) (((-577)) . T) (($) . T)) @@ -4058,7 +4058,7 @@ ((((-1206)) . T)) ((((-577)) . T)) (((|#2|) . T)) -((((-1201)) -3803 (-12 (|has| (-1199 |#1| |#2| |#3|) (-921 (-1201))) (|has| |#1| (-375))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-921 (-1201)))))) +((((-1201)) -2811 (-12 (|has| (-1199 |#1| |#2| |#3|) (-921 (-1201))) (|has| |#1| (-375))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-921 (-1201)))))) ((((-1201)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-921 (-1201))))) ((((-1201)) -12 (|has| |#1| (-15 * (|#1| (-787) |#1|))) (|has| |#1| (-921 (-1201))))) (((|#1| |#1|) . T) (($ $) . T)) @@ -4074,11 +4074,11 @@ ((((-1199 |#1| |#2| |#3|)) |has| |#1| (-375))) ((((-1165 |#1| |#2|)) . T)) ((((-1199 |#1| |#2| |#3|)) |has| |#1| (-375))) -(((|#2|) . T) (((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) -((((-2 (|:| -2350 (-1201)) (|:| -2911 (-52)))) . T)) +(((|#2|) . T) (((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) +((((-2 (|:| -4323 (-1201)) (|:| -2438 (-52)))) . T)) ((($) . T)) (|has| |#1| (-1047)) -(((|#2|) . T) (((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +(((|#2|) . T) (((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) ((($) . T)) ((((-880)) . T)) ((((-549)) |has| |#2| (-627 (-549))) (((-911 (-577))) |has| |#2| (-627 (-911 (-577)))) (((-911 (-391))) |has| |#2| (-627 (-911 (-391)))) (((-391)) . #0=(|has| |#2| (-1047))) (((-228)) . #0#)) @@ -4087,7 +4087,7 @@ (((|#1|) . T)) (|has| |#1| (-38 (-420 (-577)))) (|has| |#1| (-38 (-420 (-577)))) -((((-1201)) -3803 (|has| |#2| (-921 (-1201))) (|has| |#2| (-923 (-1201))))) +((((-1201)) -2811 (|has| |#2| (-921 (-1201))) (|has| |#2| (-923 (-1201))))) ((((-880)) . T)) (((|#2|) . T)) ((((-880)) . T)) @@ -4097,15 +4097,15 @@ ((((-1199 |#1| |#2| |#3|)) . T)) ((((-1199 |#1| |#2| |#3|)) . T) (((-1192 |#1| |#2| |#3|)) . T)) ((((-880)) . T)) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) ((((-577) |#1|) . T)) ((((-1199 |#1| |#2| |#3|)) |has| |#1| (-375))) (((|#1| |#2| |#3| |#4|) . T)) (((|#1|) . T)) (((|#2|) . T)) (|has| |#2| (-375)) -(((|#3|) . T) ((|#2|) . T) ((|#4|) -3803 (|has| |#4| (-174)) (|has| |#4| (-375)) (|has| |#4| (-1074))) (($) |has| |#4| (-1074)) (((-577)) -12 (|has| |#4| (-654 (-577))) (|has| |#4| (-1074)))) -(((|#2|) . T) ((|#3|) -3803 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-1074))) (($) |has| |#3| (-1074)) (((-577)) -12 (|has| |#3| (-654 (-577))) (|has| |#3| (-1074)))) +(((|#3|) . T) ((|#2|) . T) ((|#4|) -2811 (|has| |#4| (-174)) (|has| |#4| (-375)) (|has| |#4| (-1074))) (($) |has| |#4| (-1074)) (((-577)) -12 (|has| |#4| (-654 (-577))) (|has| |#4| (-1074)))) +(((|#2|) . T) ((|#3|) -2811 (|has| |#3| (-174)) (|has| |#3| (-375)) (|has| |#3| (-1074))) (($) |has| |#3| (-1074)) (((-577)) -12 (|has| |#3| (-654 (-577))) (|has| |#3| (-1074)))) (((|#1|) . T)) (((|#1|) . T)) ((((-117 |#1|)) . T)) @@ -4119,7 +4119,7 @@ ((((-189)) . T) (((-880)) . T)) ((((-880)) . T)) (((|#1|) . T)) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) ((((-130)) . T) (((-880)) . T)) ((((-577) |#1|) . T) (((-1259 (-577)) $) . T)) ((((-880)) . T)) @@ -4129,14 +4129,14 @@ (((|#1|) . T)) (((|#2| $) -12 (|has| |#1| (-375)) (|has| |#2| (-297 |#2| |#2|))) (($ $) . T) (((-577) |#1|) . T)) ((($ $) . T) (((-420 (-577)) |#1|) . T)) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-932))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-465)) (|has| |#1| (-932))) ((($ (-1201)) |has| |#1| (-1074))) -(-3803 (|has| |#1| (-865)) (|has| |#1| (-1125))) +(-2811 (|has| |#1| (-865)) (|has| |#1| (-1125))) ((((-880)) . T)) ((((-880)) . T)) ((((-880)) . T)) (((|#1| (-544 |#2|)) . T)) -((((-2 (|:| -2350 (-1201)) (|:| -2911 (-52)))) . T)) +((((-2 (|:| -4323 (-1201)) (|:| -2438 (-52)))) . T)) ((((-577) (-130)) . T)) (((|#1| (-577)) . T)) (((|#1| (-420 (-577))) . T)) @@ -4151,8 +4151,8 @@ ((((-1206)) . T)) ((((-880)) . T) (((-1206)) . T)) ((((-880)) . T) (((-1206)) . T)) -(-3803 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) -(-3803 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) +(-2811 (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) +(-2811 (|has| |#1| (-465)) (|has| |#1| (-569)) (|has| |#1| (-932))) ((($) . T)) (((|#2| (-544 (-882 |#1|))) . T)) ((((-1206)) . T)) @@ -4167,7 +4167,7 @@ ((((-1206)) . T)) ((((-880)) . T) (((-1206)) . T)) ((((-1206)) . T)) -((((-880)) -3803 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) +((((-880)) -2811 (|has| |#1| (-626 (-880))) (|has| |#1| (-1125)))) (((|#1| |#2|) . T)) (((|#1|) . T)) ((((-1183) |#1|) . T)) @@ -4175,7 +4175,7 @@ ((((-420 |#2|)) . T)) (|has| |#1| (-569)) (|has| |#1| (-569)) -((((-2 (|:| -2350 |#1|) (|:| -2911 |#2|))) . T)) +((((-2 (|:| -4323 |#1|) (|:| -2438 |#2|))) . T)) (((|#2| (-787)) . T)) ((($) . T) ((|#2|) . T)) ((($) . T) (((-420 (-577))) . T)) @@ -4185,14 +4185,14 @@ ((((-577)) . T) (($) . T)) (((|#2| $) |has| |#2| (-297 |#2| |#2|))) (((|#1| (-660 |#1|)) |has| |#1| (-864))) -(-3803 (|has| |#1| (-239)) (|has| |#1| (-361))) -(-3803 (|has| |#1| (-375)) (|has| |#1| (-361))) +(-2811 (|has| |#1| (-239)) (|has| |#1| (-361))) +(-2811 (|has| |#1| (-375)) (|has| |#1| (-361))) ((((-1288 |#1|)) . T) (((-577)) . T) ((|#2|) . T) (((-420 (-577))) |has| |#2| (-1063 (-420 (-577))))) (|has| |#1| (-1125)) (((|#1|) . T)) ((((-420 (-577))) . T) (($) . T)) -((((-1288 |#1|)) . T) (((-577)) . T) (($) -3803 (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) (((-1107)) . T) ((|#2|) . T) (((-420 (-577))) -3803 (|has| |#2| (-38 (-420 (-577)))) (|has| |#2| (-1063 (-420 (-577)))))) -((((-1024 |#1|)) . T) ((|#1|) . T) (((-577)) -3803 (|has| (-1024 |#1|) (-1063 (-577))) (|has| |#1| (-1063 (-577)))) (((-420 (-577))) -3803 (|has| (-1024 |#1|) (-1063 (-420 (-577)))) (|has| |#1| (-1063 (-420 (-577)))))) +((((-1288 |#1|)) . T) (((-577)) . T) (($) -2811 (|has| |#2| (-375)) (|has| |#2| (-465)) (|has| |#2| (-569)) (|has| |#2| (-932))) (((-1107)) . T) ((|#2|) . T) (((-420 (-577))) -2811 (|has| |#2| (-38 (-420 (-577)))) (|has| |#2| (-1063 (-420 (-577)))))) +((((-1024 |#1|)) . T) ((|#1|) . T) (((-577)) -2811 (|has| (-1024 |#1|) (-1063 (-577))) (|has| |#1| (-1063 (-577)))) (((-420 (-577))) -2811 (|has| (-1024 |#1|) (-1063 (-420 (-577)))) (|has| |#1| (-1063 (-420 (-577)))))) ((((-933 |#1|)) . T) (((-420 (-577))) . T) (($) . T)) (((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) (((|#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125)))) @@ -4209,11 +4209,11 @@ (((|#1| |#2| |#3| |#4|) . T)) (((#0=(-1165 |#1| |#2|) #0#) |has| (-1165 |#1| |#2|) (-320 (-1165 |#1| |#2|)))) (((|#1|) . 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. -1125) T) ((-529 . -19) 194248) ((-509 . -19) 194232) ((-59 . -617) 194209) ((-1028 . -238) 194146) ((-924 . -102) 194096) ((-872 . -742) T) ((-798 . -1125) T) ((-529 . -617) 194073) ((-509 . -617) 194050) ((-796 . -1125) T) ((-796 . -1090) 194017) ((-474 . -1125) T) ((-467 . -1125) T) ((-599 . -733) 193992) ((-665 . -1125) T) ((-1284 . -47) 193969) ((-1278 . -102) T) ((-1277 . -47) 193939) ((-1256 . -47) 193916) ((-1236 . -174) 193867) ((-1198 . -318) 193846) ((-1192 . -318) 193825) ((-1121 . -629) 193806) ((-1115 . -629) 193787) ((-1105 . -569) 193738) ((-1105 . -1246) 193689) ((-1098 . -629) 193670) ((-1029 . -921) NIL) ((-1091 . -629) 193651) ((-686 . -132) T) ((-640 . -1137) T) ((-1061 . -629) 193632) ((-1044 . -629) 193613) ((-730 . -1081) 193583) ((-728 . -915) 193486) ((-715 . -662) 193436) ((-285 . -1125) T) ((-85 . -454) T) ((-85 . -408) T) ((-727 . -174) T) ((-653 . -1081) 193420) ((-50 . -1125) T) ((-608 . -47) 193397) ((-228 . -664) 193362) ((-594 . -1125) T) ((-531 . 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192544) ((-1256 . -1063) 192510) ((-1236 . -527) 192477) ((-1214 . -627) NIL) ((-528 . -629) 192461) ((-1214 . -626) 192443) ((-1167 . -1148) 192388) ((-1112 . -733) 192237) ((-494 . -932) 192216) ((-1102 . -102) T) ((-1087 . -664) 192188) ((-975 . -664) 192077) ((-834 . -868) T) ((-798 . -733) 191906) ((-610 . -503) 191887) ((-598 . -503) 191868) ((-610 . -626) 191834) ((-598 . -626) 191800) ((-549 . -626) 191782) ((-592 . -1242) T) ((-549 . -627) 191763) ((-796 . -733) 191612) ((-1071 . -1235) 191541) ((-636 . -662) 191513) ((-393 . -25) T) ((-393 . -21) T) ((-494 . -664) 191402) ((-474 . -733) 191373) ((-467 . -733) 191222) ((-1012 . -102) T) ((-924 . -320) 191160) ((-894 . -93) T) ((-753 . -102) T) ((-653 . -629) 191137) ((-118 . -662) 191067) ((-618 . -629) 191049) ((-730 . -629) 191003) ((-697 . -93) T) ((-544 . -25) T) ((-692 . -93) T) ((-680 . -626) 190985) ((-661 . -503) 190966) ((-661 . -626) 190919) ((-142 . -102) T) ((-44 . -132) T) ((-609 . -1242) T) ((-608 . -1242) T) 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-742) T) ((-529 . -627) 189818) ((-529 . -626) 189730) ((-510 . -626) 189662) ((-509 . -627) 189623) ((-509 . -626) 189535) ((-1105 . -375) 189486) ((-40 . -424) 189463) ((-77 . -1242) T) ((-889 . -932) NIL) ((-371 . -340) 189447) ((-371 . -375) T) ((-365 . -340) 189431) ((-365 . -375) T) ((-357 . -340) 189415) ((-357 . -375) T) ((-327 . -295) 189394) ((-108 . -375) T) ((-70 . -1242) T) ((-655 . -1125) T) ((-1256 . -350) 189346) ((-889 . -664) 189291) ((-1256 . -389) 189243) ((-987 . -132) 189098) ((-831 . -132) 188969) ((-45 . -868) NIL) ((-981 . -667) 188953) ((-1112 . -174) 188864) ((-981 . -385) 188848) ((-1087 . -810) T) ((-1087 . -807) T) ((-890 . -629) 188746) ((-798 . -174) 188637) ((-796 . -174) 188548) ((-832 . -47) 188510) ((-1087 . -742) T) ((-338 . -502) 188494) ((-975 . -742) T) ((-1305 . -320) 188432) ((-1284 . -921) 188345) ((-467 . -174) 188256) ((-251 . -297) 188208) ((-1277 . -921) 188114) ((-1276 . -1081) 187949) ((-1256 . -921) 187782) ((-494 . -742) T) ((-1255 . -1081) 187590) ((-1236 . -301) 187569) ((-1211 . -1242) T) ((-1208 . -380) T) ((-1207 . -380) T) ((-1171 . -152) 187553) ((-1145 . -102) T) ((-1143 . -1125) T) ((-1105 . -23) T) ((-1105 . -1137) T) ((-1100 . -102) T) ((-1082 . -626) 187520) ((-1028 . -422) 187492) ((-950 . -978) T) ((-753 . -320) 187430) ((-75 . -1242) T) ((-680 . -394) 187402) ((-171 . -932) 187355) ((-30 . -978) T) ((-112 . -860) T) ((-1 . -626) 187337) ((-1024 . -915) 187258) ((-129 . -667) 187240) ((-50 . -633) 187224) ((-710 . -662) 187159) ((-608 . -921) 187072) ((-451 . -102) T) ((-129 . -385) 187054) ((-142 . -320) NIL) ((-890 . -1074) T) ((-849 . -865) 187033) ((-81 . -1242) T) ((-727 . -301) T) ((-40 . -1083) T) ((-594 . -174) T) ((-531 . -174) T) ((-524 . -626) 187015) ((-171 . -664) 186889) ((-520 . -626) 186871) ((-363 . -148) 186853) ((-363 . -146) T) ((-371 . -1137) T) ((-365 . -1137) T) ((-357 . -1137) T) ((-1029 . -318) T) ((-937 . -318) T) ((-890 . -249) T) ((-108 . -1137) T) ((-890 . -239) 186832) ((-1276 . -111) 186653) ((-1255 . -111) 186442) ((-251 . -1280) 186426) ((-577 . -864) T) ((-371 . -23) T) ((-366 . -361) T) ((-327 . -320) 186413) ((-324 . -320) 186354) ((-365 . -23) T) ((-330 . -132) T) ((-357 . -23) T) ((-1029 . -1047) T) ((-31 . -629) 186335) ((-108 . -23) T) ((-670 . -1076) 186319) ((-251 . -617) 186296) ((-655 . -733) 186280) ((-344 . -1125) T) ((-670 . -656) 186250) ((-1278 . -38) 186142) ((-1265 . -932) 186121) ((-112 . -1125) T) ((-832 . -1242) T) ((-426 . -1242) T) ((-1060 . -102) T) ((-1265 . -664) 186010) ((-889 . -810) NIL) ((-873 . -664) 185984) ((-889 . -807) NIL) ((-832 . -905) NIL) ((-889 . -742) T) ((-1112 . -527) 185857) ((-798 . -527) 185804) ((-796 . -527) 185756) ((-584 . -664) 185743) ((-832 . -1063) 185571) ((-467 . -527) 185514) ((-401 . -402) T) ((-1276 . -629) 185327) ((-1255 . -629) 185075) ((-60 . -1242) T) ((-634 . -865) 185054) ((-513 . -677) T) ((-1171 . -1001) 185023) ((-1049 . -662) 184960) ((-1028 . -465) T) ((-715 . -864) T) ((-523 . -808) T) ((-487 . -1081) 184795) ((-513 . -113) T) ((-355 . -1125) T) ((-324 . -1177) NIL) ((-300 . -132) T) ((-407 . -1125) T) ((-888 . -1083) T) ((-710 . -382) 184762) ((-366 . -662) 184692) ((-226 . -633) 184669) ((-338 . -297) 184621) ((-487 . -111) 184442) ((-1276 . -1074) T) ((-1255 . -1074) T) ((-832 . -389) 184426) ((-840 . -1242) T) ((-171 . -742) T) ((-1307 . -1242) T) ((-670 . -102) T) ((-1276 . -249) 184405) ((-1276 . -239) 184357) ((-1255 . -239) 184262) ((-1255 . -249) 184241) ((-1028 . -415) NIL) ((-686 . -654) 184189) ((-327 . -38) 184099) ((-324 . -38) 184028) ((-69 . -626) 184010) ((-330 . -506) 183976) ((-48 . -662) 183926) ((-1214 . -299) 183905) ((-1250 . -865) T) ((-1138 . -1137) 183883) ((-83 . -1242) T) ((-61 . -626) 183865) ((-882 . -868) T) ((-492 . -299) 183844) ((-1307 . -1063) 183821) ((-1189 . -1125) T) ((-1138 . -23) 183673) ((-832 . -921) 183609) ((-1265 . -742) T) ((-1127 . -1242) T) ((-487 . -629) 183435) ((-363 . -238) T) ((-1112 . -301) 183366) ((-989 . -1125) T) ((-912 . -102) T) ((-798 . -301) 183277) ((-338 . -19) 183261) ((-59 . -299) 183238) ((-796 . -301) 183169) ((-873 . -742) T) ((-118 . -864) NIL) ((-529 . -299) 183146) ((-338 . -617) 183123) ((-509 . -299) 183100) ((-467 . -301) 183031) ((-1060 . -320) 182882) ((-894 . -503) 182863) ((-894 . -626) 182829) ((-697 . -503) 182810) ((-584 . -742) T) ((-692 . -503) 182791) ((-697 . -626) 182741) ((-692 . -626) 182707) ((-678 . -626) 182689) ((-491 . -503) 182670) ((-491 . -626) 182636) ((-251 . -627) 182597) ((-251 . -503) 182574) ((-139 . -503) 182555) ((-138 . -503) 182536) ((-134 . -503) 182517) ((-251 . -626) 182409) ((-215 . -102) T) ((-139 . -626) 182375) ((-138 . -626) 182341) ((-134 . -626) 182307) ((-1172 . -34) T) ((-966 . -1242) T) ((-355 . -733) 182252) ((-686 . -25) T) ((-686 . -21) T) ((-1201 . -629) 182233) ((-342 . -1242) T) ((-487 . -1074) T) ((-648 . -430) 182198) ((-620 . -430) 182163) ((-1145 . -1177) T) ((-1277 . -318) 182142) ((-728 . -1076) 181965) ((-594 . -301) T) ((-531 . -301) T) ((-1256 . -318) 181944) ((-487 . -239) 181896) ((-487 . -249) 181875) ((-452 . -1242) T) ((-728 . -656) 181704) ((-1256 . -1047) NIL) ((-1105 . -132) T) ((-890 . -811) 181683) ((-145 . -102) T) ((-40 . -1125) T) ((-890 . -808) 181662) ((-660 . -1035) 181646) ((-593 . -1083) T) ((-577 . -1083) T) ((-508 . -1083) T) ((-420 . -465) T) ((-371 . -132) T) ((-327 . -413) 181630) ((-324 . -413) 181591) ((-365 . -132) T) ((-357 . -132) T) ((-1206 . -1125) T) ((-1145 . -38) 181578) ((-1119 . -626) 181545) ((-108 . -132) T) ((-977 . -1125) T) ((-944 . -1125) T) ((-787 . -1125) T) ((-688 . -1125) T) ((-717 . -148) T) ((-117 . -148) T) ((-1314 . -21) T) ((-1314 . -25) T) ((-1312 . -21) T) ((-1312 . -25) T) ((-680 . -1081) 181529) ((-544 . -865) T) ((-513 . -865) T) ((-377 . -1242) T) ((-367 . -1081) 181481) ((-364 . -1081) 181433) ((-356 . -1081) 181385) ((-259 . -1242) T) ((-258 . -1242) T) ((-274 . -1081) 181228) ((-254 . -1081) 181071) ((-680 . -111) 181050) ((-833 . -1246) 181029) ((-560 . -860) T) ((-327 . -923) 180995) ((-367 . -111) 180933) ((-364 . -111) 180871) ((-356 . -111) 180809) ((-274 . -111) 180638) ((-254 . -111) 180467) ((-324 . -923) NIL) ((-636 . -424) 180451) ((-44 . -21) T) ((-44 . -25) T) ((-928 . -868) 180402) ((-831 . -654) 180308) ((-833 . -569) 180287) ((-500 . -868) T) ((-259 . -1063) 180114) ((-258 . -1063) 179941) ((-127 . -120) 179925) ((-220 . -868) T) ((-933 . -1081) 179890) ((-728 . -102) T) ((-715 . -1083) T) ((-610 . -629) 179871) ((-598 . -629) 179852) ((-549 . -631) 179755) ((-355 . -174) T) ((-153 . -21) T) ((-153 . -25) T) ((-88 . -626) 179737) ((-933 . -111) 179693) ((-40 . -733) 179638) ((-888 . -1125) T) ((-680 . -629) 179615) ((-661 . -629) 179596) ((-367 . -629) 179533) ((-364 . -629) 179470) ((-356 . -629) 179407) ((-560 . -1125) T) ((-338 . -627) 179368) ((-338 . -626) 179280) ((-274 . -629) 179033) ((-254 . -629) 178818) ((-188 . -1242) T) ((-1255 . -808) 178771) ((-1255 . -811) 178724) ((-259 . -389) 178693) ((-258 . -389) 178662) ((-562 . -868) T) ((-670 . -38) 178632) ((-621 . -34) T) ((-495 . -1137) 178610) ((-488 . -34) T) ((-1138 . -132) 178481) ((-987 . -25) 178292) ((-933 . -629) 178242) ((-892 . -626) 178224) ((-217 . -860) T) ((-987 . -21) 178179) ((-831 . -25) 178012) ((-831 . -21) 177923) ((-1248 . -380) T) ((-636 . -1083) T) ((-1203 . -569) 177902) ((-1197 . -47) 177879) ((-367 . -1074) T) ((-364 . -1074) T) ((-495 . -23) 177731) ((-356 . -1074) T) ((-274 . -1074) T) ((-254 . -1074) T) ((-1150 . -47) 177703) ((-118 . -1083) T) ((-1059 . -664) 177677) ((-981 . -34) T) ((-367 . -239) 177656) ((-367 . -249) T) ((-364 . -239) 177635) ((-364 . -249) T) ((-356 . -239) 177614) ((-356 . -249) T) ((-274 . -337) 177586) ((-254 . -337) 177543) ((-274 . -239) 177522) ((-1182 . -152) 177506) ((-259 . -921) 177438) ((-258 . -921) 177370) ((-1167 . -915) 177291) ((-1107 . -865) T) ((-1259 . -1242) 177269) ((-427 . -1137) T) ((-1236 . -1027) 177235) ((-1079 . -23) T) ((-1049 . -864) T) ((-933 . -1074) T) ((-333 . -664) 177217) ((-717 . -238) T) ((-686 . -235) 177162) ((-1198 . -943) 177141) ((-1192 . -943) 177120) ((-1192 . -836) NIL) ((-1024 . -1076) 177016) ((-990 . -1242) T) ((-933 . -249) T) ((-833 . -375) 176995) ((-217 . -1125) T) ((-397 . -23) T) ((-128 . -1125) 176973) ((-122 . -1125) 176951) ((-933 . -239) T) ((-129 . -34) T) ((-391 . -664) 176916) ((-1024 . -656) 176864) ((-888 . -733) 176851) ((-1321 . -662) 176823) ((-1071 . -152) 176788) ((-1018 . -1242) T) ((-880 . -1242) T) ((-40 . -174) T) ((-710 . -424) 176770) ((-728 . -320) 176757) ((-852 . -664) 176717) ((-843 . -664) 176691) ((-330 . -25) T) ((-330 . -21) T) ((-674 . -297) 176670) ((-593 . -1125) T) ((-577 . -1125) T) ((-508 . -1125) T) ((-1197 . -1242) T) ((-251 . -299) 176647) ((-1150 . -1242) T) ((-872 . -1242) T) ((-324 . -273) 176608) ((-324 . -233) 176569) ((-1247 . -868) T) ((-1197 . -905) NIL) ((-55 . -1125) T) ((-1150 . -905) 176428) ((-130 . -865) T) ((-1197 . -1063) 176308) ((-1150 . -1063) 176191) ((-185 . -626) 176173) ((-872 . -1063) 176069) ((-798 . -297) 175996) ((-833 . -1137) T) ((-1059 . -742) T) ((-1071 . -1001) 175925) ((-615 . -667) 175909) ((-1028 . -915) 175816) ((-1024 . -102) T) ((-833 . -23) T) ((-728 . -1177) 175794) ((-710 . -1083) T) ((-615 . -385) 175778) ((-363 . -465) T) ((-355 . -301) T) ((-1293 . -1125) T) ((-255 . -1125) T) ((-412 . -102) T) ((-300 . -21) T) ((-300 . -25) T) ((-373 . -742) T) ((-726 . -1125) T) ((-715 . -1125) T) ((-373 . -486) T) ((-1236 . -626) 175760) ((-1197 . -389) 175744) ((-1150 . -389) 175728) ((-1049 . -424) 175690) ((-142 . -232) 175672) ((-391 . -810) T) ((-391 . -807) T) ((-888 . -174) T) ((-391 . -742) T) ((-727 . -626) 175654) ((-728 . -38) 175483) ((-1292 . -1290) 175467) ((-363 . -415) T) ((-1292 . -1125) 175417) ((-1215 . -1125) T) ((-593 . -733) 175404) ((-577 . -733) 175391) ((-508 . -733) 175356) ((-1278 . -662) 175246) ((-327 . -642) 175225) ((-852 . -742) T) ((-843 . -742) T) ((-1140 . -1242) T) ((-660 . -1242) T) ((-1105 . -654) 175173) ((-1197 . -921) 175116) ((-1150 . -921) 175100) ((-831 . -235) 174991) ((-678 . -1081) 174975) ((-108 . -654) 174957) ((-495 . -132) 174828) ((-1203 . -1137) T) ((-835 . -1242) T) ((-975 . -47) 174797) ((-636 . -1125) T) ((-678 . -111) 174776) ((-504 . -626) 174742) ((-338 . -299) 174719) ((-399 . -1242) T) ((-335 . -1242) T) ((-494 . -47) 174676) ((-1203 . -23) T) ((-118 . -1125) T) ((-103 . -102) 174626) ((-1304 . -1137) T) ((-561 . -865) T) ((-228 . -1242) T) ((-1079 . -132) T) ((-1049 . -1083) T) ((-1304 . -23) T) ((-1222 . -626) 174608) ((-835 . -1063) 174592) ((-1145 . -844) T) ((-1028 . -740) 174564) ((-1130 . -1125) T) ((-715 . -733) 174529) ((-599 . -626) 174511) ((-399 . -1063) 174495) ((-366 . -1083) T) ((-397 . -132) T) ((-335 . -1063) 174479) ((-1105 . -21) T) ((-1105 . -25) T) ((-1029 . -836) T) ((-228 . -905) 174461) ((-1029 . -943) T) ((-91 . -34) T) ((-1024 . -320) 174426) ((-937 . -943) T) ((-894 . -629) 174407) ((-730 . -664) 174367) ((-500 . -1246) T) ((-697 . -629) 174348) ((-692 . -629) 174329) ((-653 . -664) 174313) ((-220 . -1246) T) ((-420 . -915) 174234) ((-228 . -1063) 174194) ((-40 . -301) T) ((-500 . -569) T) ((-491 . -629) 174175) ((-371 . -25) T) ((-327 . -662) 173830) ((-324 . -662) 173744) ((-371 . -21) T) ((-365 . -25) T) ((-365 . -21) T) ((-220 . -569) T) ((-357 . -25) T) ((-357 . -21) T) ((-330 . -235) 173690) ((-251 . -629) 173667) ((-139 . -629) 173648) ((-138 . -629) 173629) ((-134 . -629) 173610) ((-108 . -25) T) ((-108 . -21) T) ((-48 . -1083) T) ((-593 . -174) T) ((-577 . -174) T) ((-508 . -174) T) ((-1087 . -1242) T) ((-975 . -1242) T) ((-729 . -1242) T) ((-655 . -297) 173577) ((-674 . -626) 173559) ((-494 . -1242) T) ((-753 . -752) 173543) ((-348 . -626) 173525) ((-68 . -395) T) ((-68 . -408) T) ((-1127 . -107) 173509) ((-1087 . -905) 173491) ((-975 . -905) 173416) ((-669 . -1137) T) ((-636 . -733) 173403) ((-494 . -905) NIL) ((-1171 . -102) T) ((-1119 . -631) 173387) ((-1087 . -1063) 173369) ((-97 . -626) 173351) ((-490 . -148) T) ((-975 . -1063) 173231) ((-118 . -733) 173176) ((-728 . -923) 173083) ((-669 . -23) T) ((-494 . -1063) 172959) ((-1112 . -627) NIL) ((-1112 . -626) 172941) ((-798 . -627) NIL) ((-798 . -626) 172902) ((-796 . -627) 172536) ((-796 . -626) 172450) ((-1138 . -654) 172356) ((-815 . -868) 172335) ((-474 . -626) 172317) ((-467 . -626) 172299) ((-467 . -627) 172160) ((-1060 . -232) 172106) ((-890 . -932) 172085) ((-127 . -34) T) ((-833 . -132) T) ((-665 . -626) 172067) ((-591 . -102) T) ((-367 . -1311) 172051) ((-364 . -1311) 172035) ((-356 . -1311) 172019) ((-122 . -527) 171952) ((-128 . -527) 171885) ((-524 . -808) T) ((-524 . -811) T) ((-523 . -810) T) ((-103 . -320) 171823) ((-225 . -102) 171773) ((-715 . -174) T) ((-710 . -1125) T) ((-890 . -664) 171689) ((-65 . -396) T) ((-285 . -626) 171671) ((-65 . -408) T) ((-975 . -389) 171655) ((-888 . -301) T) ((-50 . -626) 171637) ((-1024 . -38) 171585) ((-1145 . -662) 171557) ((-594 . -626) 171539) ((-494 . -389) 171523) ((-594 . -627) 171505) ((-531 . -626) 171487) ((-933 . -1311) 171474) ((-889 . -1242) T) ((-717 . -465) T) ((-508 . -527) 171440) ((-1303 . -1242) T) ((-1302 . -1242) T) ((-500 . -375) T) ((-367 . -380) 171419) ((-364 . -380) 171398) ((-356 . -380) 171377) ((-730 . -742) T) ((-220 . -375) T) ((-117 . -465) T) ((-1315 . -1306) 171361) ((-889 . -903) 171338) ((-889 . -905) NIL) ((-987 . -865) 171237) ((-831 . -865) 171188) ((-1249 . -102) T) ((-670 . -672) 171172) ((-1228 . -34) T) ((-173 . -626) 171154) ((-1138 . -25) 170987) ((-1138 . -21) 170898) ((-889 . -1063) 170875) ((-975 . -921) 170856) ((-1265 . -47) 170833) ((-933 . -380) T) ((-606 . -868) T) ((-59 . -667) 170817) ((-529 . -667) 170801) ((-494 . -921) 170778) ((-71 . -454) T) ((-71 . -408) T) ((-509 . -667) 170762) ((-59 . -385) 170746) ((-636 . -174) T) ((-529 . -385) 170730) ((-509 . -385) 170714) ((-559 . -1242) T) ((-843 . -724) 170698) ((-1197 . -318) 170677) ((-1203 . -132) T) ((-1167 . -1076) 170661) ((-118 . -174) T) ((-1167 . -656) 170593) ((-1171 . -320) 170531) ((-171 . -1242) T) ((-1304 . -132) T) ((-1277 . -943) 170510) ((-1256 . -943) 170489) ((-1256 . -836) NIL) ((-884 . -1076) 170459) ((-648 . -760) 170443) ((-620 . -760) 170427) ((-1255 . -932) 170380) ((-1049 . -1125) T) ((-928 . -1137) T) ((-884 . -656) 170350) ((-710 . -733) 170300) ((-919 . -1242) T) ((-889 . -389) 170277) ((-889 . -350) 170254) ((-857 . -1242) T) ((-824 . -1242) T) ((-171 . -903) 170238) ((-171 . -905) 170163) ((-785 . -1242) T) ((-693 . -1242) T) ((-1292 . -527) 170096) ((-1276 . -664) 169993) ((-1105 . -235) 169866) ((-500 . -1137) T) ((-366 . -1125) T) ((-220 . -1137) T) ((-76 . -454) T) ((-76 . -408) T) ((-171 . -1063) 169762) ((-305 . -915) 169719) ((-330 . -865) T) ((-1255 . -664) 169527) ((-890 . -810) 169506) ((-890 . -807) 169485) ((-890 . -742) T) ((-500 . -23) T) ((-371 . -235) 169458) ((-365 . -235) 169431) ((-357 . -235) 169404) ((-176 . -465) T) ((-86 . -454) T) ((-225 . -320) 169342) ((-86 . -408) T) ((-226 . -626) 169324) ((-108 . -235) 169311) ((-220 . -23) T) ((-1316 . -1309) 169290) ((-693 . -1063) 169274) ((-593 . -301) T) ((-577 . -301) T) ((-508 . -301) T) ((-1265 . -1242) T) ((-137 . -483) 169229) ((-873 . -1242) T) ((-670 . -662) 169188) ((-48 . -1125) T) ((-728 . -273) 169172) ((-728 . -233) 169156) ((-889 . -921) NIL) ((-584 . -1242) T) ((-1265 . -905) NIL) ((-908 . -102) T) ((-904 . -102) T) ((-655 . -626) 169138) ((-401 . -1125) T) ((-171 . -389) 169122) ((-171 . -350) 169106) ((-1265 . -1063) 168986) ((-873 . -1063) 168882) ((-1167 . -102) T) ((-1024 . -923) 168805) ((-678 . -808) 168784) ((-669 . -132) T) ((-678 . -811) 168763) ((-118 . -527) 168671) ((-584 . -1063) 168653) ((-305 . -1299) 168623) ((-1192 . -868) NIL) ((-884 . -102) T) ((-986 . -569) 168602) ((-1236 . -1081) 168485) ((-1028 . -1076) 168430) ((-495 . -654) 168336) ((-927 . -1125) T) ((-1049 . -733) 168273) ((-727 . -1081) 168238) ((-1028 . -656) 168183) ((-630 . -102) T) 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-102) T) ((-599 . -111) 166767) ((-1236 . -1074) T) ((-1167 . -320) 166705) ((-1087 . -1047) T) ((-1079 . -25) T) ((-66 . -1242) T) ((-911 . -1242) T) ((-1079 . -21) T) ((-727 . -1074) T) ((-397 . -21) T) ((-397 . -25) T) ((-710 . -527) NIL) ((-1049 . -174) T) ((-727 . -249) T) ((-1087 . -558) T) ((-728 . -662) 166615) ((-519 . -102) T) ((-515 . -102) T) ((-366 . -174) T) ((-355 . -626) 166597) ((-420 . -1076) 166549) ((-407 . -626) 166531) ((-1145 . -864) T) ((-487 . -742) T) ((-911 . -1063) 166499) ((-420 . -656) 166451) ((-108 . -865) T) ((-674 . -1081) 166435) ((-500 . -132) T) ((-1278 . -1083) T) ((-220 . -132) T) ((-1182 . -102) 166385) ((-99 . -1125) T) ((-246 . -868) 166336) ((-251 . -682) 166320) ((-251 . -667) 166304) ((-674 . -111) 166283) ((-599 . -629) 166267) ((-327 . -424) 166251) ((-251 . -385) 166235) ((-1184 . -241) 166182) ((-1024 . -273) 166166) ((-1024 . -233) 166150) ((-74 . -1242) T) ((-48 . -174) T) ((-717 . -400) T) ((-717 . -144) T) ((-1315 . -102) T) ((-1223 . -1242) T) ((-1222 . -629) 166132) ((-1113 . -1242) T) ((-1112 . -1081) 165975) ((-1101 . -1242) T) ((-274 . -932) 165954) ((-254 . -932) 165933) ((-798 . -1081) 165756) ((-796 . -1081) 165599) ((-621 . -1242) T) ((-1189 . -626) 165581) ((-1112 . -111) 165410) ((-1071 . -102) T) ((-488 . -1242) T) ((-474 . -1081) 165381) ((-467 . -1081) 165224) ((-680 . -664) 165208) ((-889 . -318) T) ((-798 . -111) 165017) ((-796 . -111) 164846) ((-367 . -664) 164798) ((-364 . -664) 164750) ((-356 . -664) 164702) ((-274 . -664) 164591) ((-254 . -664) 164480) ((-1183 . -865) T) ((-1113 . -1063) 164464) ((-1101 . -1063) 164441) ((-1029 . -868) T) ((-1025 . -34) T) ((-474 . -111) 164402) ((-467 . -111) 164231) ((-996 . -868) T) ((-989 . -626) 164213) ((-986 . -1137) T) ((-981 . -1242) T) ((-127 . -1035) 164197) ((-866 . -1242) T) ((-889 . -1047) NIL) ((-751 . -1137) T) ((-731 . -1137) T) ((-674 . -629) 164115) ((-1292 . -502) 164099) ((-1209 . -1242) T) ((-1208 . -1242) T) ((-1167 . -38) 164059) ((-986 . -23) T) ((-933 . -664) 164024) ((-883 . -1125) T) ((-859 . -102) T) ((-833 . -21) T) ((-648 . -1076) 164008) ((-620 . -1076) 163992) ((-833 . -25) T) ((-751 . -23) T) ((-731 . -23) T) ((-648 . -656) 163976) ((-110 . -677) T) ((-620 . -656) 163960) ((-594 . -1081) 163925) ((-531 . -1081) 163870) ((-230 . -57) 163828) ((-466 . -23) T) ((-420 . -102) T) ((-1207 . -1242) T) ((-271 . -102) T) ((-110 . -113) T) ((-710 . -301) T) ((-884 . -38) 163798) ((-1112 . -629) 163534) ((-594 . -111) 163490) ((-531 . -111) 163419) ((-431 . -1137) T) ((-327 . -1083) 163309) ((-324 . -1083) T) ((-129 . -1242) T) ((-131 . -1242) T) ((-798 . -629) 163057) ((-796 . -629) 162823) ((-674 . -1074) T) ((-1321 . -1125) T) ((-467 . -629) 162608) ((-171 . -318) 162539) ((-431 . -23) T) ((-40 . -626) 162521) ((-40 . -627) 162505) ((-108 . -1017) 162487) ((-117 . -887) 162471) ((-665 . -629) 162455) ((-48 . -527) 162421) ((-1228 . -1035) 162405) ((-1206 . -626) 162372) ((-1214 . -34) T) ((-977 . -626) 162338) 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-1063) 160593) ((-655 . -1081) 160577) ((-205 . -803) T) ((-204 . -803) T) ((-203 . -803) T) ((-202 . -803) T) ((-201 . -803) T) ((-200 . -803) T) ((-199 . -803) T) ((-198 . -803) T) ((-197 . -803) T) ((-196 . -803) T) ((-560 . -626) 160559) ((-508 . -1027) T) ((-284 . -855) T) ((-283 . -855) T) ((-282 . -855) T) ((-281 . -855) T) ((-48 . -301) T) ((-280 . -855) T) ((-279 . -855) T) ((-278 . -855) T) ((-195 . -803) T) ((-655 . -111) 160538) ((-625 . -865) T) ((-670 . -424) 160522) ((-686 . -238) 160473) ((-226 . -629) 160435) ((-110 . -865) T) ((-669 . -21) T) ((-669 . -25) T) ((-1315 . -38) 160405) ((-118 . -297) 160356) ((-1292 . -19) 160340) ((-1256 . -868) NIL) ((-1292 . -617) 160317) ((-1305 . -1125) T) ((-363 . -1076) 160262) ((-1102 . -1125) T) ((-1012 . -1125) T) ((-986 . -132) T) ((-833 . -235) 160249) ((-753 . -1125) T) ((-363 . -656) 160194) ((-751 . -132) T) ((-731 . -132) T) ((-524 . -809) T) ((-524 . -810) T) ((-466 . -132) T) ((-420 . -1177) 160172) ((-226 . -1074) T) 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159078) ((-1197 . -943) 159057) ((-747 . -1137) T) ((-651 . -102) T) ((-528 . -1242) T) ((-523 . -1242) T) ((-521 . -1242) T) ((-363 . -102) T) ((-1241 . -1108) T) ((-1145 . -860) T) ((-834 . -865) T) ((-747 . -23) T) ((-355 . -1081) 159002) ((-1172 . -107) 158986) ((-1293 . -626) 158968) ((-653 . -1242) T) ((-1199 . -23) T) ((-1199 . -1137) T) ((-1198 . -1137) T) ((-1198 . -23) T) ((-528 . -1063) 158952) ((-1192 . -1137) T) ((-1151 . -1137) T) ((-355 . -111) 158881) ((-1029 . -1246) T) ((-127 . -1242) T) ((-937 . -1246) T) ((-1192 . -23) T) ((-1167 . -273) 158865) ((-710 . -297) NIL) ((-730 . -1242) T) ((-1167 . -233) 158849) ((-1151 . -23) T) ((-1100 . -1125) T) ((-1029 . -569) T) ((-937 . -569) T) ((-256 . -1242) T) ((-189 . -1242) T) ((-163 . -1242) T) ((-158 . -1242) T) ((-255 . -626) 158831) ((-831 . -238) 158728) ((-815 . -132) T) ((-726 . -626) 158710) ((-327 . -733) 158620) ((-324 . -733) 158549) ((-715 . -626) 158531) ((-715 . -627) 158476) ((-420 . -413) 158460) ((-451 . -1125) T) ((-500 . -25) T) ((-500 . -21) T) ((-1145 . -1125) T) ((-220 . -25) T) ((-220 . -21) T) ((-728 . -424) 158444) ((-730 . -1063) 158413) ((-1292 . -626) 158325) ((-1292 . -627) 158286) ((-1278 . -174) T) ((-1215 . -626) 158268) ((-251 . -34) T) ((-355 . -629) 158198) ((-407 . -629) 158180) ((-949 . -999) T) ((-1228 . -1242) T) ((-678 . -807) 158159) ((-678 . -810) 158138) ((-411 . -408) T) ((-536 . -102) 158088) ((-1248 . -1242) T) ((-1060 . -1125) T) ((-420 . -923) 158011) ((-225 . -1020) 157995) ((-854 . -1242) T) ((-517 . -102) T) ((-636 . -626) 157977) ((-45 . -865) NIL) ((-636 . -627) 157954) ((-1060 . -623) 157929) ((-924 . -527) 157862) ((-330 . -238) 157814) ((-355 . -1074) T) ((-118 . -627) NIL) ((-118 . -626) 157796) ((-890 . -1242) T) ((-686 . -430) 157780) ((-686 . -1148) 157725) ((-513 . -152) 157707) ((-355 . -239) T) ((-355 . -249) T) ((-40 . -1081) 157652) ((-890 . -903) 157636) ((-890 . -905) 157561) ((-728 . -1083) T) ((-710 . -1027) NIL) ((-1276 . -47) 157531) ((-1255 . -47) 157508) ((-1166 . -1035) 157479) ((-1145 . -733) 157466) ((-3 . |UnionCategory|) T) ((-1130 . -626) 157448) ((-1105 . -148) 157427) ((-1105 . -146) 157378) ((-1029 . -375) T) ((-989 . -629) 157362) ((-228 . -943) T) ((-40 . -111) 157291) ((-890 . -1063) 157155) ((-1028 . -233) 157132) ((-1028 . -273) 157109) ((-717 . -1076) 157096) ((-937 . -375) T) ((-717 . -656) 157083) ((-330 . -1230) 157049) ((-391 . -318) T) ((-330 . -1227) 157015) ((-327 . -174) 156994) ((-324 . -174) T) ((-621 . -1218) 156970) ((-594 . -1311) 156957) ((-531 . -1311) 156934) ((-117 . -1076) 156921) ((-371 . -148) 156900) ((-371 . -146) 156851) ((-365 . -148) 156830) ((-365 . -146) 156781) ((-357 . -148) 156760) ((-117 . -656) 156747) ((-357 . -146) 156698) ((-330 . -35) 156664) ((-488 . -1218) 156643) ((0 . |EnumerationCategory|) T) ((-330 . -95) 156609) ((-391 . -1047) T) ((-108 . -148) T) ((-108 . -146) NIL) ((-45 . -241) 156559) ((-670 . -1125) T) ((-621 . -107) 156506) ((-498 . -132) T) 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-662) 155423) ((-937 . -1137) T) ((-937 . -23) T) ((-890 . -921) 155382) ((-363 . -38) 155347) ((-888 . -1081) 155334) ((-342 . -868) T) ((-82 . -626) 155316) ((-40 . -1074) T) ((-888 . -111) 155301) ((-734 . -1242) T) ((-717 . -102) T) ((-710 . -626) 155283) ((-615 . -1242) T) ((-609 . -569) 155262) ((-440 . -1137) T) ((-351 . -1076) 155246) ((-215 . -1125) T) ((-176 . -1076) 155178) ((-487 . -47) 155148) ((-40 . -239) 155120) ((-40 . -249) T) ((-135 . -102) T) ((-117 . -102) T) ((-608 . -569) 155099) ((-351 . -656) 155083) ((-710 . -627) 154991) ((-327 . -527) 154957) ((-176 . -656) 154889) ((-324 . -527) 154781) ((-500 . -235) 154768) ((-1276 . -1063) 154752) ((-1255 . -1063) 154538) ((-1024 . -424) 154522) ((-220 . -235) 154509) ((-440 . -23) T) ((-1145 . -174) T) ((-1278 . -301) T) ((-670 . -733) 154479) ((-145 . -1125) T) ((-48 . -1027) T) ((-420 . -273) 154463) ((-420 . -233) 154447) ((-306 . -241) 154397) ((-889 . -943) T) ((-889 . -836) NIL) ((-888 . -629) 154369) ((-259 . -868) 154320) ((-258 . -868) 154271) ((-882 . -865) T) ((-1255 . -350) 154241) ((-1255 . -389) 154211) ((-1105 . -238) 154090) ((-225 . -1146) 154074) ((-305 . -923) 154033) ((-1292 . -299) 154010) ((-371 . -238) 153989) ((-365 . -238) 153968) ((-487 . -1242) T) ((-357 . -238) 153947) ((-108 . -238) T) ((-1236 . -664) 153872) ((-1028 . -662) 153802) ((-986 . -21) T) ((-986 . -25) T) ((-751 . -21) T) ((-751 . -25) T) ((-731 . -21) T) ((-731 . -25) T) ((-727 . -664) 153767) ((-466 . -21) T) ((-466 . -25) T) ((-351 . -102) T) ((-176 . -102) T) ((-1024 . -1083) T) ((-888 . -1074) T) ((-790 . -102) T) ((-1277 . -375) 153746) ((-1276 . -921) 153652) ((-1256 . -375) 153631) ((-1255 . -921) 153482) ((-1201 . -1242) T) ((-1049 . -626) 153464) ((-420 . -844) 153417) ((-1199 . -506) 153383) ((-171 . -943) 153314) ((-1198 . -506) 153280) ((-1192 . -506) 153246) ((-728 . -1125) T) ((-1151 . -506) 153212) ((-593 . -1081) 153199) ((-577 . -1081) 153186) ((-508 . -1081) 153151) ((-327 . -301) 153130) 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-107) 151851) ((-937 . -132) T) ((-928 . -865) 151802) ((-717 . -1177) T) ((-715 . -111) 151758) ((-859 . -662) 151675) ((-609 . -1137) T) ((-608 . -1137) T) ((-728 . -733) 151504) ((-727 . -742) T) ((-815 . -25) T) ((-815 . -21) T) ((-500 . -865) T) ((-610 . -1242) T) ((-609 . -23) T) ((-598 . -1242) T) ((-220 . -865) T) ((-420 . -662) 151441) ((-593 . -1074) T) ((-577 . -1074) T) ((-549 . -1242) T) ((-508 . -1074) T) ((-355 . -1311) 151418) ((-330 . -465) 151397) ((-351 . -320) 151384) ((-608 . -23) T) ((-440 . -132) T) ((-674 . -664) 151358) ((-251 . -1035) 151342) ((-890 . -318) T) ((-1316 . -1306) 151326) ((-787 . -808) T) ((-787 . -811) T) ((-717 . -38) 151313) ((-577 . -239) T) ((-508 . -249) T) ((-508 . -239) T) ((-1305 . -502) 151297) ((-1288 . -1242) T) ((-1175 . -241) 151247) ((-1112 . -932) 151226) ((-117 . -38) 151213) ((-211 . -816) T) ((-210 . -816) T) ((-209 . -816) T) ((-208 . -816) T) ((-890 . -1047) 151191) ((-680 . -1242) T) ((-661 . -1242) T) ((-798 . -932) 151170) 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148543) ((-254 . -921) 148520) ((-118 . -1074) T) ((-1112 . -742) T) ((-832 . -1137) T) ((-835 . -868) T) ((-636 . -239) 148499) ((-634 . -102) T) ((-524 . -1242) T) ((-520 . -1242) T) ((-798 . -742) T) ((-796 . -742) T) ((-1247 . -865) T) ((-426 . -1137) T) ((-118 . -249) T) ((-40 . -380) NIL) ((-118 . -239) NIL) ((-399 . -868) 148478) ((-467 . -742) T) ((-832 . -23) T) ((-747 . -25) T) ((-747 . -21) T) ((-686 . -915) 148399) ((-1102 . -297) 148378) ((-78 . -409) T) ((-78 . -408) T) ((-546 . -783) 148360) ((-228 . -868) T) ((-710 . -1081) 148310) ((-1317 . -102) T) ((-1284 . -132) T) ((-1277 . -132) T) ((-1256 . -132) T) ((-1199 . -25) T) ((-1167 . -424) 148294) ((-648 . -379) 148226) ((-620 . -379) 148158) ((-1182 . -1174) 148142) ((-103 . -1125) 148120) ((-1199 . -21) T) ((-1198 . -21) T) ((-883 . -626) 148102) ((-1024 . -733) 148050) ((-226 . -664) 148017) ((-710 . -111) 147951) ((-50 . -742) T) ((-1198 . -25) T) ((-363 . -361) T) ((-1192 . -21) T) ((-1105 . -465) 147902) ((-1192 . 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146803) ((-1203 . -146) 146782) ((-1203 . -148) 146761) ((-1171 . -1125) T) ((-1171 . -1096) 146730) ((-69 . -1242) T) ((-1049 . -1081) 146667) ((-363 . -662) 146597) ((-884 . -1083) T) ((-246 . -654) 146503) ((-710 . -1074) T) ((-366 . -1081) 146448) ((-61 . -1242) T) ((-1049 . -111) 146364) ((-924 . -626) 146275) ((-710 . -249) T) ((-710 . -239) NIL) ((-859 . -864) 146254) ((-715 . -811) T) ((-715 . -808) T) ((-1028 . -424) 146231) ((-366 . -111) 146160) ((-391 . -943) T) ((-420 . -864) 146139) ((-728 . -301) 146050) ((-226 . -742) T) ((-1284 . -506) 146016) ((-1277 . -506) 145982) ((-1256 . -506) 145948) ((-591 . -1125) T) ((-327 . -1027) 145927) ((-225 . -1125) 145905) ((-1249 . -860) T) ((-330 . -998) 145867) ((-105 . -102) T) ((-48 . -1081) 145832) ((-889 . -868) NIL) ((-1316 . -102) T) ((-393 . -102) T) ((-1278 . -626) 145814) ((-1158 . -1159) 145798) ((-1029 . -654) 145780) ((-894 . -1242) T) ((-48 . -111) 145736) ((-697 . -1242) T) ((-692 . -1242) T) ((-678 . -1242) T) ((-831 . -915) 145603) ((-491 . -1242) T) ((-251 . -1242) T) ((-544 . -102) T) ((-513 . -102) T) ((-153 . -1299) 145587) ((-139 . -1242) T) ((-138 . -1242) T) ((-134 . -1242) T) ((-1241 . -102) T) ((-1049 . -629) 145524) ((-833 . -238) T) ((-1197 . -1246) 145503) ((-217 . -380) T) ((-366 . -629) 145433) ((-1150 . -1246) 145412) ((-246 . -25) 145245) ((-246 . -21) 145156) ((-128 . -120) 145140) ((-122 . -120) 145124) ((-44 . -760) 145108) ((-1197 . -569) 145019) ((-1150 . -569) 144950) ((-1249 . -1125) T) ((-559 . -868) T) ((-1060 . -297) 144925) ((-1191 . -1108) T) ((-1019 . -1108) T) ((-832 . -132) T) ((-118 . -811) NIL) ((-118 . -808) NIL) ((-367 . -318) T) ((-364 . -318) T) ((-356 . -318) T) ((-1119 . -1242) 144903) ((-259 . -1137) 144881) ((-258 . -1137) 144859) ((-1049 . -1074) T) ((-1028 . -1083) T) ((-48 . -629) 144792) ((-355 . -664) 144737) ((-1305 . -626) 144699) ((-1305 . -627) 144660) ((-634 . -38) 144644) ((-1199 . -235) 144597) ((-1198 . -235) 144543) ((-1102 . -626) 144525) 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T) ((-1107 . -102) T) ((-88 . -1242) T) ((-513 . -320) NIL) ((-1025 . -107) 143423) ((-908 . -1125) T) ((-904 . -1125) T) ((-1292 . -667) 143407) ((-1292 . -385) 143391) ((-338 . -1242) T) ((-606 . -865) T) ((-1167 . -1125) T) ((-1167 . -1078) 143331) ((-103 . -527) 143264) ((-950 . -626) 143246) ((-355 . -742) T) ((-30 . -626) 143228) ((-884 . -1125) T) ((-859 . -1083) 143207) ((-40 . -664) 143114) ((-228 . -1246) T) ((-420 . -1083) T) ((-1183 . -152) 143096) ((-1024 . -301) 143047) ((-892 . -1242) T) ((-630 . -1125) T) ((-228 . -569) T) ((-330 . -1273) 143031) ((-330 . -1270) 143001) ((-717 . -662) 142973) ((-1214 . -1218) 142952) ((-1100 . -626) 142934) ((-1214 . -107) 142884) ((-663 . -152) 142868) ((-645 . -152) 142814) ((-117 . -662) 142786) ((-492 . -1218) 142765) ((-500 . -148) T) ((-500 . -146) NIL) ((-1145 . -627) 142680) ((-451 . -626) 142662) ((-220 . -148) T) ((-220 . -146) NIL) ((-1145 . -626) 142644) ((-130 . -102) T) ((-52 . -102) T) ((-1256 . -654) 142596) ((-492 . -107) 142546) ((-1018 . -23) T) ((-1316 . -38) 142516) ((-1197 . -1137) T) ((-1150 . -1137) T) ((-1087 . -1246) T) ((-246 . -235) 142407) ((-322 . -102) T) ((-872 . -1137) T) ((-975 . -1246) 142386) ((-494 . -1246) 142365) ((-1087 . -569) T) ((-975 . -569) 142296) ((-1197 . -23) T) ((-1176 . -1108) T) ((-1150 . -23) T) ((-872 . -23) T) ((-494 . -569) 142227) ((-1167 . -733) 142159) ((-686 . -1076) 142143) ((-1171 . -527) 142076) ((-686 . -656) 142060) ((-1060 . -627) NIL) ((-1060 . -626) 142042) ((-96 . -1108) T) ((-1321 . -1081) 142029) ((-884 . -733) 141999) ((-1321 . -111) 141984) ((-1236 . -47) 141953) ((-1192 . -865) NIL) ((-259 . -132) T) ((-258 . -132) T) ((-1129 . -1125) T) ((-1028 . -1125) T) ((-62 . -626) 141935) ((-1105 . -915) 141804) ((-1049 . -808) T) ((-1049 . -811) T) ((-1284 . -25) T) ((-1284 . -21) T) ((-1277 . -21) T) ((-1277 . -25) T) ((-888 . -664) 141791) ((-1256 . -21) T) ((-1256 . -25) T) ((-1052 . -152) 141775) ((-1029 . -235) 141762) ((-890 . -836) 141741) 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T) ((-833 . -465) 141152) ((-153 . -1076) 141136) ((-1071 . -1096) 141065) ((-1052 . -1001) 141034) ((-835 . -1137) T) ((-1028 . -733) 140979) ((-153 . -656) 140963) ((-399 . -1137) T) ((-489 . -1001) 140932) ((-476 . -1001) 140901) ((-1208 . -868) T) ((-110 . -152) 140883) ((-73 . -626) 140865) ((-912 . -626) 140847) ((-1207 . -868) T) ((-1105 . -740) 140826) ((-1321 . -1074) T) ((-832 . -654) 140774) ((-305 . -1083) 140716) ((-171 . -1246) 140621) ((-228 . -1137) T) ((-335 . -23) T) ((-1192 . -1017) 140573) ((-1278 . -1081) 140478) ((-859 . -1125) T) ((-129 . -868) T) ((-1151 . -756) 140457) ((-1276 . -943) 140436) ((-1255 . -943) 140415) ((-888 . -742) T) ((-171 . -569) 140326) ((-593 . -664) 140313) ((-577 . -664) 140285) ((-420 . -1125) T) ((-271 . -1125) T) ((-215 . -626) 140267) ((-508 . -664) 140217) ((-228 . -23) T) ((-1255 . -836) 140170) ((-1314 . -102) T) ((-504 . -1242) T) ((-366 . -1311) 140147) ((-1312 . -102) T) ((-1278 . -111) 140039) ((-1138 . -915) 139906) ((-831 . 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137153) ((-665 . -1242) T) ((-798 . -905) NIL) ((-796 . -905) 137012) ((-1307 . -25) T) ((-1307 . -21) T) ((-1239 . -102) 136990) ((-1131 . -408) T) ((-636 . -664) 136977) ((-467 . -905) NIL) ((-691 . -102) 136927) ((-1112 . -1063) 136754) ((-889 . -23) T) ((-798 . -1063) 136613) ((-796 . -1063) 136470) ((-118 . -664) 136415) ((-467 . -1063) 136291) ((-285 . -1242) T) ((-327 . -629) 135855) ((-324 . -629) 135738) ((-50 . -1242) T) ((-403 . -662) 135707) ((-665 . -1063) 135691) ((-640 . -102) T) ((-594 . -1242) T) ((-531 . -1242) T) ((-225 . -502) 135675) ((-1292 . -34) T) ((-634 . -662) 135634) ((-300 . -1076) 135621) ((-137 . -629) 135605) ((-300 . -656) 135592) ((-648 . -733) 135576) ((-620 . -733) 135560) ((-686 . -38) 135520) ((-330 . -102) T) ((-1145 . -1081) 135507) ((-85 . -626) 135489) ((-50 . -1063) 135473) ((-1112 . -389) 135457) ((-798 . -389) 135441) ((-715 . -742) T) ((-715 . -810) T) ((-715 . -807) T) ((-60 . -57) 135403) ((-594 . -1063) 135390) ((-531 . -1063) 135367) ((-173 . -1242) T) ((-335 . -132) T) ((-327 . -1074) 135257) ((-324 . -1074) T) ((-171 . -1137) T) ((-796 . -389) 135241) ((-45 . -152) 135191) ((-1029 . -1017) 135173) ((-467 . -389) 135157) ((-420 . -174) T) ((-327 . -249) 135136) ((-324 . -249) T) ((-324 . -239) NIL) ((-305 . -1125) 134918) ((-228 . -132) T) ((-1145 . -111) 134903) ((-171 . -23) T) ((-815 . -148) 134882) ((-815 . -146) 134861) ((-259 . -654) 134767) ((-258 . -654) 134673) ((-330 . -295) 134639) ((-1182 . -527) 134572) ((-490 . -662) 134522) ((-651 . -860) T) ((-495 . -915) 134389) ((-1158 . -1125) T) ((-228 . -1085) T) ((-831 . -320) 134327) ((-1112 . -921) 134262) ((-798 . -921) 134205) ((-796 . -921) 134189) ((-1314 . -38) 134159) ((-1312 . -38) 134129) ((-1265 . -1137) T) ((-873 . -1137) T) ((-467 . -921) 134106) ((-876 . -1125) T) ((-1265 . -23) T) ((-1145 . -629) 134078) ((-1087 . -132) T) ((-873 . -23) T) ((-584 . -1137) T) ((-636 . -742) T) ((-523 . -868) T) ((-367 . -943) T) ((-364 . -943) T) ((-300 . -102) T) ((-356 . -943) T) ((-995 . -1108) T) ((-975 . -132) T) ((-832 . -235) 134023) ((-118 . -810) NIL) ((-118 . -807) NIL) ((-118 . -742) T) ((-1071 . -527) 133924) ((-710 . -932) NIL) ((-584 . -23) T) ((-494 . -132) T) ((-431 . -238) 133875) ((-691 . -320) 133813) ((-226 . -1242) T) ((-651 . -1125) T) ((-648 . -777) T) ((-620 . -777) T) ((-1256 . -865) NIL) ((-1105 . -1076) 133723) ((-1028 . -301) T) ((-710 . -664) 133673) ((-259 . -25) T) ((-363 . -1125) T) ((-259 . -21) T) ((-258 . -25) T) ((-258 . -21) T) ((-153 . -38) 133657) ((-2 . -102) T) ((-933 . -943) T) ((-1105 . -656) 133525) ((-495 . -1299) 133495) ((-1145 . -1074) T) ((-727 . -318) T) ((-717 . -1083) T) ((-371 . -1076) 133447) ((-365 . -1076) 133399) ((-357 . -1076) 133351) ((-371 . -656) 133303) ((-226 . -1063) 133280) ((-365 . -656) 133232) ((-108 . -1076) 133182) ((-357 . -656) 133134) ((-305 . -733) 133076) ((-655 . -1242) T) ((-500 . -465) T) ((-420 . -527) 132988) ((-108 . -656) 132938) ((-220 . -465) T) ((-1145 . -239) T) ((-306 . -152) 132888) ((-1024 . -627) 132849) ((-1024 . -626) 132831) ((-1014 . -626) 132813) ((-117 . -1083) T) ((-670 . -1081) 132797) ((-228 . -506) T) ((-412 . -626) 132779) ((-412 . -627) 132756) ((-1079 . -1299) 132726) ((-670 . -111) 132705) ((-686 . -923) 132628) ((-1167 . -502) 132612) ((-1316 . -662) 132571) ((-393 . -662) 132540) ((-63 . -454) T) ((-63 . -408) T) ((-1184 . -102) T) ((-889 . -132) T) ((-497 . -102) 132490) ((-1143 . -1242) T) ((-1248 . -868) T) ((-1321 . -380) T) ((-1105 . -102) T) ((-1086 . -102) T) ((-363 . -733) 132435) ((-890 . -868) 132386) ((-747 . -148) 132365) ((-747 . -146) 132344) ((-670 . -629) 132262) ((-1049 . -664) 132199) ((-536 . -1125) 132177) ((-371 . -102) T) ((-365 . -102) T) ((-357 . -102) T) ((-108 . -102) T) ((-517 . -1125) T) ((-366 . -664) 132122) ((-1197 . -654) 132070) ((-1150 . -654) 132018) ((-397 . -522) 131997) ((-849 . -864) 131976) ((-710 . -742) T) ((-391 . -1246) T) ((-344 . -1242) T) ((-1256 . -1017) 131928) ((-351 . -1083) T) ((-112 . -1242) T) ((-176 . -1083) T) ((-103 . -626) 131860) ((-1199 . -146) 131839) ((-1199 . -148) 131818) ((-391 . -569) T) ((-1198 . -148) 131797) ((-1198 . -146) 131776) ((-1192 . -146) 131683) ((-420 . -301) T) ((-1192 . -148) 131590) ((-1151 . -148) 131569) ((-1151 . -146) 131548) ((-330 . -38) 131389) ((-171 . -132) T) ((-324 . -811) NIL) ((-324 . -808) NIL) ((-670 . -1074) T) ((-48 . -664) 131339) ((-1138 . -1076) 131240) ((-912 . -629) 131217) ((-1138 . -656) 131139) ((-1191 . -102) T) ((-1019 . -102) T) ((-1018 . -21) T) ((-128 . -1035) 131123) ((-122 . -1035) 131107) ((-1018 . -25) T) ((-924 . -120) 131091) ((-1183 . -102) T) ((-1265 . -132) T) ((-1255 . -868) 130990) ((-1197 . -25) T) ((-1197 . -21) T) ((-1184 . -320) 130785) ((-355 . -1242) T) ((-1150 . -25) T) ((-873 . -132) T) ((-407 . -1242) T) ((-1150 . -21) T) ((-872 . -25) T) ((-872 . -21) T) ((-798 . -318) 130764) ((-1182 . -502) 130748) ((-1175 . -152) 130698) ((-1171 . -626) 130660) ((-663 . -102) 130610) ((-645 . -102) T) ((-1171 . -627) 130571) ((-584 . -132) T) ((-634 . -864) 130550) ((-1049 . -807) T) ((-1049 . -810) T) ((-1049 . -742) T) ((-831 . -923) 130419) ((-728 . -1081) 130242) ((-615 . -868) 130221) ((-497 . -320) 130159) ((-466 . -430) 130129) ((-363 . -174) T) ((-300 . -38) 130116) ((-259 . -235) 130007) ((-258 . -235) 129898) ((-284 . -102) T) ((-283 . -102) T) ((-282 . -102) T) ((-281 . -102) T) ((-280 . -102) T) ((-279 . -102) T) ((-355 . -1063) 129875) ((-278 . -102) T) ((-214 . -102) T) ((-213 . -102) T) ((-211 . -102) T) ((-210 . -102) T) ((-209 . -102) T) ((-208 . -102) T) ((-205 . -102) T) ((-204 . -102) T) ((-203 . -102) T) ((-202 . -102) T) ((-201 . -102) T) ((-200 . -102) T) ((-199 . -102) T) ((-198 . -102) T) ((-197 . -102) T) ((-196 . -102) T) ((-195 . -102) T) ((-728 . -111) 129684) ((-366 . -742) T) ((-686 . -273) 129668) ((-686 . -233) 129652) ((-594 . -318) T) ((-531 . -318) T) ((-305 . -527) 129601) ((-1189 . -1242) T) ((-108 . -320) NIL) ((-72 . -408) T) ((-1138 . -102) 129333) ((-849 . -424) 129317) ((-1145 . -811) T) ((-1145 . -808) T) ((-717 . -1125) T) ((-591 . -626) 129299) ((-391 . -375) T) ((-171 . -506) 129277) ((-225 . -626) 129209) ((-135 . -1125) T) ((-117 . -1125) T) ((-989 . -1242) T) ((-48 . -742) T) ((-1071 . -502) 129174) ((-142 . -438) 129156) ((-142 . -380) T) ((-1052 . -102) T) ((-525 . -522) 129135) ((-728 . -629) 128891) ((-1249 . -626) 128873) ((-1206 . -1242) T) ((-1206 . -1063) 128809) ((-1199 . -238) 128768) ((-489 . -102) T) ((-476 . -102) T) ((-1198 . -238) 128720) ((-1192 . -238) 128543) ((-1059 . -1137) T) ((-330 . -923) 128449) ((-1201 . -868) T) ((-1199 . -35) 128415) ((-1199 . -95) 128381) ((-1199 . -1230) 128347) ((-1199 . -1227) 128313) ((-1198 . -1227) 128279) ((-1198 . -1230) 128245) ((-1198 . -95) 128211) ((-1198 . -35) 128177) ((-1192 . -1227) 128143) ((-1192 . -1230) 128109) ((-1183 . -320) NIL) ((-89 . -409) T) ((-89 . -408) T) ((-1105 . -1177) 128088) ((-40 . -1242) T) ((-1192 . -95) 128054) ((-1059 . -23) T) ((-1192 . -35) 128020) ((-584 . -506) T) ((-1151 . -35) 127986) ((-1151 . -95) 127952) ((-1151 . -1230) 127918) ((-1151 . -1227) 127884) ((-373 . -1137) T) ((-371 . -1177) 127863) ((-365 . -1177) 127842) ((-357 . -1177) 127821) ((-1129 . -297) 127777) ((-977 . -1242) T) ((-944 . -1242) T) ((-108 . -1177) T) ((-849 . -1083) 127756) ((-787 . -1242) T) ((-663 . -320) 127694) ((-645 . -320) 127545) ((-688 . -1242) T) ((-728 . -1074) T) ((-1087 . -654) 127527) ((-1105 . -38) 127395) ((-975 . -654) 127343) ((-1029 . -148) T) ((-1029 . -146) NIL) ((-391 . -1137) T) ((-335 . -25) T) ((-333 . -23) T) ((-966 . -865) 127322) ((-728 . -337) 127299) ((-494 . -654) 127247) ((-40 . -1063) 127135) ((-728 . -239) T) ((-717 . -733) 127122) ((-351 . -1125) T) ((-176 . -1125) T) ((-342 . -865) T) ((-431 . -465) 127072) ((-391 . -23) T) ((-371 . -38) 127037) ((-365 . -38) 127002) ((-357 . -38) 126967) ((-80 . -454) T) ((-80 . -408) T) ((-228 . -25) T) ((-228 . -21) T) ((-852 . -1137) T) ((-108 . -38) 126917) ((-843 . -1137) T) ((-790 . -1125) T) ((-117 . -733) 126904) ((-688 . -1063) 126888) ((-625 . -102) T) ((-852 . -23) T) ((-843 . -23) T) ((-1182 . -297) 126840) ((-1138 . -320) 126778) ((-495 . -1076) 126679) ((-1127 . -241) 126663) ((-64 . -409) T) ((-64 . -408) T) ((-1176 . -102) T) ((-110 . -102) T) ((-495 . -656) 126585) ((-40 . -389) 126562) ((-96 . -102) T) ((-669 . -870) 126546) ((-1197 . -235) 126533) ((-1160 . -1108) T) ((-1087 . -21) T) ((-1087 . -25) T) ((-1079 . -1076) 126517) ((-831 . -273) 126486) ((-831 . -233) 126455) ((-975 . -25) T) ((-975 . -21) T) ((-1145 . -380) T) ((-1079 . -656) 126397) ((-634 . -1083) T) ((-1052 . -320) 126335) ((-908 . -626) 126317) ((-686 . -662) 126276) ((-494 . -25) T) ((-494 . -21) T) ((-397 . -1076) 126260) ((-904 . -626) 126242) ((-888 . -1242) T) ((-536 . -527) 126175) ((-259 . -865) 126126) ((-258 . -865) 126077) ((-397 . -656) 126047) ((-889 . -654) 126024) ((-489 . -320) 125962) ((-560 . -1242) T) 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((-217 . -1242) T) ((-128 . -1242) T) ((-122 . -1242) T) ((-108 . -923) NIL) ((-833 . -1076) 124303) ((-59 . -868) 124282) ((-833 . -656) 124224) ((-529 . -868) 124203) ((-509 . -868) 124182) ((-1059 . -132) T) ((-686 . -379) 124166) ((-153 . -662) 124125) ((-1321 . -742) T) ((-648 . -297) 124083) ((-620 . -297) 124041) ((-1284 . -146) 124020) ((-1265 . -654) 123968) ((-1024 . -1074) T) ((-1129 . -626) 123950) ((-1028 . -626) 123932) ((-593 . -1242) T) ((-577 . -1242) T) ((-508 . -1242) T) ((-528 . -23) T) ((-523 . -23) T) ((-355 . -318) T) ((-521 . -23) T) ((-333 . -132) T) ((-3 . -1125) T) ((-1028 . -627) 123916) ((-1024 . -249) 123895) ((-1024 . -239) 123874) ((-1284 . -148) 123853) ((-1277 . -148) 123832) ((-849 . -1125) T) ((-1277 . -146) 123811) ((-1276 . -1246) 123790) ((-1256 . -146) 123697) ((-1256 . -148) 123604) ((-1255 . -1246) 123583) ((-391 . -132) T) ((-228 . -235) 123570) ((-176 . -174) T) ((-577 . -905) 123552) ((0 . -1125) T) ((-171 . -21) T) ((-171 . -25) T) ((-55 . -1242) T) ((-49 . -1125) T) ((-1278 . -664) 123457) ((-1276 . -569) 123408) ((-1255 . -569) 123359) ((-730 . -1137) T) ((-653 . -23) T) ((-577 . -1063) 123341) ((-608 . -148) 123320) ((-608 . -146) 123299) ((-508 . -1063) 123242) ((-1160 . -1162) T) ((-87 . -396) T) ((-87 . -408) T) ((-890 . -375) T) ((-852 . -132) T) ((-843 . -132) T) ((-987 . -662) 123186) ((-730 . -23) T) ((-519 . -626) 123152) ((-515 . -626) 123134) ((-831 . -662) 122913) ((-1316 . -1083) T) ((-391 . -1085) T) ((-1051 . -1125) 122891) ((-55 . -1063) 122873) ((-924 . -34) T) ((-495 . -320) 122811) ((-605 . -102) T) ((-1182 . -627) 122772) ((-1182 . -626) 122704) ((-1203 . -1076) 122587) ((-45 . -102) T) ((-833 . -102) T) ((-1203 . -656) 122484) ((-1293 . -1242) T) ((-1265 . -25) T) ((-1265 . -21) T) ((-1087 . -235) 122471) ((-873 . -25) T) ((-524 . -868) T) ((-255 . -1242) T) ((-44 . -379) 122455) ((-873 . -21) T) ((-747 . -465) 122406) ((-1315 . -626) 122388) ((-726 . -1242) T) ((-715 . -1242) T) ((-1304 . -1076) 122358) ((-1079 . -320) 122296) ((-687 . -1108) T) ((-619 . -1108) T) ((-403 . -1125) T) ((-584 . -25) T) ((-584 . -21) T) ((-182 . -1108) T) ((-162 . -1108) T) ((-157 . -1108) T) ((-155 . -1108) T) ((-1304 . -656) 122266) ((-634 . -1125) T) ((-715 . -905) 122248) ((-1292 . -1242) T) ((-230 . -320) 122186) ((-145 . -380) T) ((-1215 . -1242) T) ((-1071 . -627) 122128) ((-1071 . -626) 122071) ((-324 . -932) NIL) ((-1250 . -860) T) ((-1138 . -923) 121940) ((-715 . -1063) 121885) ((-727 . -943) T) ((-487 . -1246) 121864) ((-1198 . -465) 121843) ((-1192 . -465) 121822) ((-341 . -102) T) ((-890 . -1137) T) ((-330 . -662) 121704) ((-327 . -664) 121433) ((-324 . -664) 121362) ((-487 . -569) 121313) ((-351 . -527) 121279) ((-563 . -152) 121229) ((-40 . -318) T) ((-859 . -626) 121211) ((-717 . -301) T) ((-890 . -23) T) ((-391 . -506) T) ((-1105 . -273) 121181) ((-1105 . -233) 121151) ((-525 . -102) T) ((-420 . -627) 120958) ((-420 . -626) 120940) ((-271 . -626) 120922) ((-117 . -301) T) ((-1278 . -742) T) ((-636 . -1242) T) ((-1317 . -1125) T) ((-1276 . -375) 120901) ((-1255 . -375) 120880) ((-1305 . -34) T) ((-1250 . -1125) T) ((-118 . -1242) T) ((-108 . -273) 120862) ((-108 . -233) 120844) ((-1203 . -102) T) ((-490 . -1125) T) ((-536 . -502) 120828) ((-753 . -34) T) ((-669 . -1076) 120812) ((-669 . -656) 120782) ((-889 . -235) NIL) ((-142 . -34) T) ((-118 . -903) 120759) ((-118 . -905) NIL) ((-636 . -1063) 120642) ((-1304 . -102) T) ((-1284 . -238) 120601) ((-660 . -865) 120580) ((-1277 . -238) 120532) ((-1256 . -238) 120355) ((-306 . -102) T) ((-728 . -380) 120334) ((-118 . -1063) 120311) ((-403 . -733) 120295) ((-608 . -238) 120254) ((-634 . -733) 120238) ((-1130 . -1242) T) ((-45 . -320) 120042) ((-832 . -146) 120021) ((-832 . -148) 120000) ((-300 . -662) 119972) ((-1315 . -394) 119951) ((-835 . -865) T) ((-1294 . -1125) T) ((-1184 . -232) 119898) ((-399 . -865) 119877) ((-1284 . -35) 119843) ((-1284 . -1230) 119809) ((-1284 . -1227) 119775) ((-1277 . -1227) 119741) ((-528 . -132) T) ((-1277 . -1230) 119707) ((-1256 . -1227) 119673) ((-1256 . -1230) 119639) ((-1284 . -95) 119605) ((-1277 . -95) 119571) ((-431 . -915) 119492) ((-648 . -626) 119461) ((-620 . -626) 119430) ((-228 . -865) T) ((-1277 . -35) 119396) ((-1276 . -1137) T) ((-1256 . -95) 119362) ((-1145 . -664) 119334) ((-1256 . -35) 119300) ((-1255 . -1137) T) ((-606 . -152) 119282) ((-1105 . -361) 119261) ((-176 . -301) T) ((-118 . -389) 119238) ((-118 . -350) 119215) ((-171 . -235) 119140) ((-888 . -318) T) ((-324 . -810) NIL) ((-324 . -807) NIL) ((-327 . -742) 118989) ((-324 . -742) T) ((-653 . -132) T) ((-487 . -375) 118968) ((-371 . -361) 118947) ((-365 . -361) 118926) ((-357 . -361) 118905) ((-327 . -486) 118884) ((-1276 . -23) T) ((-1255 . -23) T) ((-734 . -1137) T) ((-730 . -132) T) ((-669 . -102) T) ((-490 . -733) 118849) ((-678 . -868) 118828) ((-45 . -293) 118778) ((-105 . -1125) T) ((-68 . -626) 118760) ((-251 . -868) 118739) ((-995 . -102) T) ((-882 . -102) T) ((-636 . -921) 118698) ((-1316 . -1125) T) ((-393 . -1125) T) ((-1265 . -235) 118685) ((-1241 . -1125) T) ((-82 . -1242) T) ((-1138 . -273) 118654) ((-1087 . -865) T) ((-118 . -921) NIL) ((-798 . -943) 118633) ((-729 . -865) T) ((-544 . -1125) T) ((-513 . -1125) T) ((-367 . -1246) T) ((-364 . -1246) T) ((-356 . -1246) T) ((-274 . -1246) 118612) ((-254 . -1246) 118591) ((-546 . -878) T) ((-1138 . -233) 118560) ((-1183 . -844) T) ((-1167 . -1081) 118544) ((-403 . -777) T) ((-710 . -1242) T) ((-707 . -1063) 118528) ((-367 . -569) T) ((-364 . -569) T) ((-356 . -569) T) ((-274 . -569) 118459) ((-254 . -569) 118390) ((-538 . -1108) T) ((-1167 . -111) 118369) ((-466 . -760) 118339) ((-884 . -1081) 118309) ((-833 . -38) 118251) ((-710 . -903) 118233) ((-710 . -905) 118215) ((-306 . -320) 118019) ((-1182 . -299) 117996) ((-933 . -1246) T) ((-1105 . -662) 117891) ((-1029 . -465) T) ((-686 . -424) 117875) ((-884 . -111) 117840) ((-937 . -465) T) ((-710 . -1063) 117785) ((-933 . -569) T) ((-546 . -626) 117767) 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. -1083) T) ((-747 . -972) 116302) ((-1167 . -239) 116281) ((-366 . -1242) T) ((-1107 . -1125) T) ((-1059 . -25) T) ((-1059 . -21) T) ((-1028 . -1081) 116226) ((-338 . -868) 116205) ((-928 . -102) T) ((-884 . -1074) T) ((-710 . -921) NIL) ((-367 . -340) 116189) ((-367 . -375) T) ((-364 . -340) 116173) ((-364 . -375) T) ((-356 . -340) 116157) ((-356 . -375) T) ((-500 . -102) T) ((-1304 . -38) 116127) ((-559 . -865) T) ((-536 . -703) 116077) ((-220 . -102) T) ((-1049 . -1063) 115957) ((-1028 . -111) 115886) ((-651 . -626) 115868) ((-1199 . -998) 115837) ((-1198 . -998) 115799) ((-533 . -152) 115783) ((-1105 . -382) 115762) ((-363 . -626) 115744) ((-333 . -21) T) ((-366 . -1063) 115721) ((-333 . -25) T) ((-1192 . -998) 115690) ((-48 . -1242) T) ((-76 . -626) 115672) ((-1151 . -998) 115639) ((-715 . -318) T) ((-130 . -860) T) ((-933 . -375) T) ((-391 . -25) T) ((-391 . -21) T) ((-933 . -340) 115626) ((-86 . -626) 115608) ((-715 . -1047) T) ((-693 . -865) T) ((-401 . -1242) T) ((-1276 . 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. -569) T) ((-608 . -915) 106249) ((-327 . -903) 106233) ((-327 . -905) 106158) ((-324 . -903) 106119) ((-140 . -1242) T) ((-137 . -1242) T) ((-115 . -1242) T) ((-324 . -905) NIL) ((-815 . -320) 106084) ((-330 . -733) 105925) ((-399 . -398) 105909) ((-335 . -334) 105886) ((-498 . -102) T) ((-487 . -25) T) ((-487 . -21) T) ((-431 . -38) 105860) ((-327 . -1063) 105523) ((-228 . -1227) T) ((-228 . -1230) T) ((-3 . -626) 105505) ((-324 . -1063) 105435) ((-890 . -235) 105380) ((-2 . -1125) T) ((-2 . |RecordCategory|) T) ((-1138 . -1083) 105358) ((-849 . -626) 105340) ((-1087 . -238) T) ((-593 . -943) T) ((-577 . -836) T) ((-577 . -943) T) ((-508 . -943) T) ((-137 . -1063) 105324) ((-228 . -95) T) ((-171 . -148) 105303) ((-75 . -454) T) ((0 . -626) 105285) ((-75 . -408) T) ((-171 . -146) 105236) ((-228 . -35) T) ((-49 . -626) 105218) ((-490 . -1083) T) ((-500 . -273) 105200) ((-500 . -233) 105182) ((-497 . -993) 105166) ((-220 . -273) 105148) ((-220 . -233) 105130) ((-81 . -454) T) ((-81 . 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. -1227) 100829) ((-211 . -1125) T) ((-210 . -1125) T) ((-117 . -1074) T) ((-209 . -1125) T) ((-208 . -1125) T) ((-205 . -1125) T) ((-204 . -1125) T) ((-203 . -1125) T) ((-202 . -1125) T) ((-201 . -1125) T) ((-200 . -1125) T) ((-199 . -1125) T) ((-198 . -1125) T) ((-197 . -1125) T) ((-196 . -1125) T) ((-195 . -1125) T) ((-246 . -102) 100561) ((-171 . -35) 100539) ((-171 . -95) 100517) ((-670 . -1063) 100413) ((-495 . -1083) 100391) ((-1138 . -1125) 100143) ((-1167 . -34) T) ((-686 . -502) 100127) ((-73 . -1242) T) ((-105 . -626) 100109) ((-912 . -1242) T) ((-1316 . -626) 100091) ((-393 . -626) 100073) ((-351 . -629) 100025) ((-176 . -629) 99942) ((-1241 . -503) 99923) ((-747 . -38) 99772) ((-584 . -1230) T) ((-584 . -1227) T) ((-544 . -626) 99754) ((-533 . -320) 99692) ((-513 . -626) 99674) ((-513 . -627) 99656) ((-1241 . -626) 99622) ((-1192 . -1177) NIL) ((-215 . -1242) T) ((-1052 . -1096) 99591) ((-1052 . -1125) T) ((-1029 . -102) T) ((-996 . -102) T) ((-937 . -102) T) ((-912 . -1063) 99568) ((-1167 . -742) T) ((-1028 . -664) 99475) ((-489 . -1125) T) ((-476 . -1125) T) ((-599 . -23) T) ((-584 . -35) T) ((-584 . -95) T) ((-440 . -102) T) ((-1088 . -232) 99421) ((-1199 . -38) 99318) ((-1198 . -38) 99159) ((-944 . -868) T) ((-884 . -742) T) ((-787 . -868) T) ((-710 . -943) T) ((-688 . -868) T) ((-524 . -25) T) ((-520 . -21) T) ((-520 . -25) T) ((-1192 . -38) 98955) ((-351 . -1074) T) ((-145 . -1242) T) ((-1105 . -174) T) ((-176 . -1074) T) ((-1151 . -38) 98852) ((-728 . -47) 98829) ((-371 . -174) T) ((-365 . -174) T) ((-532 . -57) 98803) ((-510 . -57) 98753) ((-363 . -1311) 98730) ((-228 . -465) T) ((-330 . -301) 98681) ((-357 . -174) T) ((-176 . -249) T) ((-1255 . -865) 98580) ((-108 . -174) T) ((-890 . -1017) 98564) ((-674 . -1137) T) ((-594 . -375) T) ((-594 . -340) 98551) ((-531 . -340) 98528) ((-531 . -375) T) ((-327 . -318) 98507) ((-324 . -318) T) ((-615 . -865) 98486) ((-1138 . -733) 98428) ((-533 . -293) 98412) ((-674 . -23) T) ((-431 . -233) 98396) 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96435) ((-560 . -868) T) ((-1107 . -627) 96416) ((-420 . -932) 96395) ((-1236 . -132) T) ((-50 . -1137) T) ((-1192 . -413) 96347) ((-1049 . -943) T) ((-1028 . -742) T) ((-859 . -664) 96320) ((-728 . -905) NIL) ((-609 . -1076) 96280) ((-594 . -1137) T) ((-531 . -1137) T) ((-608 . -1076) 96163) ((-1182 . -34) T) ((-1029 . -320) NIL) ((-831 . -502) 96147) ((-609 . -656) 96120) ((-366 . -943) T) ((-608 . -656) 96017) ((-933 . -235) 96004) ((-420 . -664) 95920) ((-50 . -23) T) ((-727 . -132) T) ((-728 . -1063) 95800) ((-594 . -23) T) ((-108 . -527) NIL) ((-531 . -23) T) ((-171 . -422) 95771) ((-1165 . -1125) T) ((-1307 . -1306) 95755) ((-747 . -923) 95732) ((-717 . -811) T) ((-717 . -808) T) ((-1145 . -318) T) ((-391 . -148) T) ((-291 . -626) 95714) ((-290 . -626) 95696) ((-1255 . -1017) 95666) ((-48 . -943) T) ((-691 . -502) 95650) ((-259 . -1299) 95620) ((-258 . -1299) 95590) ((-1113 . -238) T) ((-1201 . -865) T) ((-1145 . -1047) T) ((-1071 . -34) T) ((-852 . -148) 95569) ((-852 . -146) 95548) ((-753 . -107) 95532) ((-625 . -133) T) ((-1203 . -1083) T) ((-495 . -1125) 95284) ((-1199 . -923) 95197) ((-1198 . -923) 95103) ((-1192 . -923) 94864) ((-889 . -465) T) ((-85 . -1242) T) ((-142 . -107) 94846) ((-1151 . -923) 94830) ((-728 . -389) 94814) ((-849 . -629) 94682) ((-1315 . -742) T) ((-1304 . -1083) T) ((-1284 . -102) T) ((-1277 . -102) T) ((-1145 . -558) T) ((-592 . -102) T) ((-130 . -503) 94664) ((-1197 . -972) 94633) ((-403 . -1081) 94617) ((-1150 . -972) 94584) ((-44 . -297) 94561) ((-130 . -626) 94528) ((-52 . -626) 94510) ((-217 . -868) T) ((-669 . -424) 94494) ((-1256 . -102) T) ((-1183 . -527) NIL) ((-678 . -25) T) ((-634 . -1081) 94478) ((-678 . -21) T) ((-986 . -662) 94388) ((-751 . -662) 94333) ((-731 . -662) 94305) ((-403 . -111) 94284) ((-225 . -262) 94268) ((-1079 . -1078) 94208) ((-1079 . -1125) T) ((-1029 . -1177) T) ((-834 . -1125) T) ((-466 . -662) 94123) ((-648 . -664) 94107) ((-634 . -111) 94086) ((-620 . -664) 94070) ((-355 . -1246) T) ((-609 . -102) T) ((-322 . -503) 94051) ((-599 . -132) T) ((-608 . -102) T) ((-427 . -1125) T) ((-397 . -1125) T) ((-322 . -626) 94017) ((-230 . -1125) 93995) ((-663 . -527) 93928) ((-645 . -527) 93772) ((-849 . -1074) 93751) ((-660 . -152) 93735) ((-355 . -569) T) ((-728 . -921) 93678) ((-563 . -232) 93628) ((-1284 . -295) 93594) ((-1277 . -295) 93560) ((-1105 . -301) 93511) ((-577 . -868) T) ((-500 . -864) T) ((-226 . -1137) T) ((-1256 . -295) 93477) ((-1236 . -506) 93443) ((-1029 . -38) 93393) ((-220 . -864) T) ((-431 . -662) 93352) ((-937 . -38) 93304) ((-859 . -810) 93283) ((-859 . -807) 93262) ((-859 . -742) 93241) ((-371 . -301) T) ((-365 . -301) T) ((-357 . -301) T) ((-171 . -465) 93172) ((-440 . -38) 93156) ((-226 . -23) T) ((-108 . -301) T) ((-420 . -810) 93135) ((-420 . -807) 93114) ((-420 . -742) T) ((-513 . -299) 93089) ((-490 . -1081) 93054) ((-674 . -132) T) ((-634 . -629) 93023) ((-1138 . -527) 92956) ((-348 . -132) T) ((-171 . -415) 92935) ((-495 . -733) 92877) ((-831 . -297) 92854) ((-490 . -111) 92810) ((-669 . -1083) T) ((-655 . -23) T) ((-1197 . -915) 92713) ((-1150 . -915) 92695) ((-832 . -1076) 92538) ((-1303 . -1108) T) ((-1265 . -465) 92469) ((-832 . -656) 92318) ((-1302 . -1108) T) ((-1112 . -132) T) ((-1079 . -733) 92260) ((-1052 . -527) 92193) ((-798 . -132) T) ((-796 . -132) T) ((-715 . -868) T) ((-584 . -465) T) ((-634 . -1074) T) ((-605 . -1125) T) ((-546 . -175) T) ((-474 . -132) T) ((-467 . -132) T) ((-391 . -238) T) ((-1024 . -1242) T) ((-45 . -1125) T) ((-397 . -733) 92163) ((-833 . -1125) T) ((-489 . -527) 92096) ((-476 . -527) 92029) ((-1317 . -629) 92011) ((-466 . -379) 91981) ((-45 . -623) 91960) ((-412 . -1242) T) ((-327 . -313) T) ((-1292 . -868) 91939) ((-843 . -238) 91918) ((-490 . -629) 91868) ((-1256 . -320) 91753) ((-686 . -626) 91715) ((-59 . -865) 91694) ((-1029 . -413) 91676) ((-561 . -626) 91658) ((-815 . -662) 91617) ((-831 . -617) 91594) ((-529 . -865) 91573) ((-509 . -865) 91552) ((-1024 . -1063) 91448) ((-40 . -1246) T) 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-742) T) ((-879 . -626) 87147) ((-1198 . -662) 87029) ((-1192 . -662) 86866) ((-1151 . -662) 86776) ((-1256 . -413) 86728) ((-1138 . -502) 86712) ((-60 . -320) 86650) ((-342 . -102) T) ((-1236 . -21) T) ((-1236 . -25) T) ((-40 . -1137) T) ((-727 . -21) T) ((-640 . -626) 86632) ((-528 . -334) 86611) ((-727 . -25) T) ((-452 . -102) T) ((-108 . -297) NIL) ((-944 . -1137) T) ((-40 . -23) T) ((-787 . -1137) T) ((-577 . -1246) T) ((-508 . -1246) T) ((-1029 . -273) 86593) ((-330 . -626) 86575) ((-1029 . -233) 86557) ((-171 . -167) 86541) ((-593 . -569) T) ((-577 . -569) T) ((-508 . -569) T) ((-787 . -23) T) ((-1276 . -148) 86520) ((-1276 . -146) 86499) ((-1184 . -617) 86475) ((-1255 . -146) 86400) ((-1052 . -502) 86384) ((-1249 . -1242) T) ((-1255 . -148) 86309) ((-1307 . -1313) 86288) ((-889 . -915) NIL) ((-489 . -502) 86272) ((-476 . -502) 86256) ((-536 . -34) T) ((-669 . -733) 86226) ((-1284 . -923) 86139) ((-1277 . -923) 86045) ((-1256 . -923) 85806) ((-112 . -992) T) ((-1203 . -174) 85757) ((-678 . -865) 85736) ((-377 . -102) T) ((-608 . -923) 85649) ((-246 . -244) 85628) ((-259 . -102) T) ((-258 . -102) T) ((-1265 . -972) 85597) ((-251 . -865) 85576) ((-1049 . -868) T) ((-832 . -38) 85425) ((-45 . -527) 85217) ((-1183 . -297) 85167) ((-216 . -1125) T) ((-1175 . -1125) T) ((-890 . -238) 85118) ((-1175 . -623) 85097) ((-599 . -25) T) ((-599 . -21) T) ((-1127 . -320) 85035) ((-986 . -424) 85019) ((-715 . -1246) T) ((-645 . -297) 84972) ((-1112 . -654) 84920) ((-928 . -1125) T) ((-798 . -654) 84868) ((-796 . -654) 84816) ((-355 . -132) T) ((-300 . -626) 84798) ((-888 . -1137) T) ((-715 . -569) T) ((-130 . -629) 84780) ((-467 . -654) 84728) ((-171 . -915) 84649) ((-928 . -926) 84633) ((-391 . -465) T) ((-500 . -1125) T) ((-966 . -320) 84571) ((-717 . -664) 84543) ((-562 . -860) T) ((-220 . -1125) T) ((-327 . -943) 84522) ((-324 . -943) T) ((-324 . -836) NIL) ((-403 . -736) T) ((-888 . -23) T) ((-117 . -664) 84509) ((-487 . -146) 84488) ((-431 . -424) 84472) ((-487 . -148) 84451) ((-110 . -502) 84433) ((-322 . -629) 84414) ((-2 . -626) 84396) ((-188 . -102) T) ((-1183 . -19) 84378) ((-1183 . -617) 84353) ((-674 . -21) T) ((-674 . -25) T) ((-606 . -1169) T) ((-1138 . -297) 84330) ((-348 . -25) T) ((-348 . -21) T) ((-908 . -1242) T) ((-904 . -1242) T) ((-1314 . -1081) 84314) ((-246 . -662) 84093) ((-508 . -375) T) ((-1312 . -1081) 84077) ((-1307 . -38) 84047) ((-1276 . -1227) 84013) ((-1276 . -1230) 83979) ((-1265 . -915) 83882) ((-1197 . -1076) 83705) ((-1167 . -1242) T) ((-1150 . -1076) 83548) ((-872 . -1076) 83532) ((-645 . -617) 83507) ((-1276 . -95) 83473) ((-1276 . -238) 83425) ((-1259 . -102) 83403) ((-1197 . -656) 83232) ((-1150 . -656) 83081) ((-872 . -656) 83051) ((-1256 . -233) 83003) ((-1112 . -25) T) ((-562 . -1125) T) ((-1112 . -21) T) ((-986 . -1083) T) ((-544 . -808) T) ((-544 . -811) T) ((-118 . -1246) T) ((-884 . -1242) T) ((-636 . -569) T) ((-798 . -25) T) ((-798 . -21) T) ((-796 . -21) T) ((-796 . -25) T) ((-751 . -1083) T) ((-731 . -1083) T) ((-686 . -1081) 82987) ((-530 . -1108) T) ((-474 . -25) T) ((-118 . -569) T) ((-474 . -21) T) ((-467 . -25) T) ((-467 . -21) T) ((-1256 . -273) 82939) ((-1176 . -93) T) ((-1167 . -1063) 82835) ((-833 . -301) 82814) ((-1255 . -1227) 82780) ((-839 . -1125) T) ((-989 . -992) T) ((-686 . -111) 82759) ((-630 . -1242) T) ((-306 . -527) 82551) ((-1255 . -1230) 82517) ((-1255 . -238) 82376) ((-1250 . -380) T) ((-259 . -320) 82314) ((-258 . -320) 82252) ((-1247 . -860) T) ((-1184 . -627) NIL) ((-1184 . -626) 82234) ((-1167 . -389) 82218) ((-1145 . -836) T) ((-1145 . -943) T) ((-96 . -93) T) ((-1138 . -617) 82195) ((-1105 . -627) 82179) ((-1105 . -626) 82161) ((-1029 . -662) 82111) ((-937 . -662) 82048) ((-831 . -299) 82025) ((-497 . -626) 81957) ((-621 . -152) 81904) ((-500 . -733) 81854) ((-431 . -1083) T) ((-495 . -502) 81838) ((-440 . -662) 81797) ((-338 . -865) 81776) ((-351 . -664) 81750) ((-50 . -21) T) ((-50 . -25) T) ((-220 . -733) 81700) ((-171 . -740) 81671) ((-176 . -664) 81603) ((-594 . -21) T) ((-594 . -25) T) ((-531 . -25) T) ((-531 . -21) T) ((-488 . -152) 81553) ((-1086 . -626) 81535) ((-1018 . -102) T) ((-880 . -102) T) ((-832 . -923) 81435) ((-815 . -424) 81398) ((-40 . -132) T) ((-715 . -375) T) ((-717 . -742) T) ((-717 . -810) T) ((-717 . -807) T) ((-214 . -916) T) ((-593 . -1137) T) ((-577 . -1137) T) ((-508 . -1137) T) ((-371 . -626) 81380) ((-365 . -626) 81362) ((-357 . -626) 81344) ((-66 . -409) T) ((-66 . -408) T) ((-108 . -627) 81274) ((-108 . -626) 81216) ((-213 . -916) T) ((-981 . -152) 81200) ((-787 . -132) T) ((-686 . -629) 81118) ((-135 . -742) T) ((-117 . -742) T) ((-1276 . -35) 81084) ((-1079 . -502) 81068) ((-593 . -23) T) ((-577 . -23) T) ((-508 . -23) T) ((-1255 . -95) 81034) ((-1255 . -35) 81000) ((-1197 . -102) T) ((-1150 . -102) T) ((-872 . -102) T) ((-230 . -502) 80984) ((-1314 . -111) 80963) ((-1312 . -111) 80942) ((-44 . -1081) 80926) ((-1315 . -1242) T) ((-1314 . -629) 80872) ((-1314 . -1074) T) ((-1312 . -629) 80801) 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. -465) T) ((-928 . -297) 65638) ((-831 . -380) 65617) ((-523 . -522) 65596) ((-521 . -522) 65575) ((-890 . -915) 65496) ((-500 . -297) NIL) ((-495 . -299) 65473) ((-431 . -301) T) ((-366 . -132) T) ((-220 . -297) NIL) ((-710 . -506) NIL) ((-99 . -1137) T) ((-40 . -235) 65404) ((-171 . -38) 65232) ((-975 . -923) 65213) ((-1276 . -998) 65175) ((-1255 . -998) 65144) ((-1172 . -320) 65082) ((-494 . -923) 65059) ((-1138 . -1074) 65037) ((-933 . -415) T) ((-653 . -522) 65009) ((-1278 . -569) T) ((-1175 . -617) 64988) ((-112 . -865) T) ((-1088 . -502) 64919) ((-593 . -21) T) ((-593 . -25) T) ((-577 . -21) T) ((-577 . -25) T) ((-508 . -25) T) ((-508 . -21) T) ((-1265 . -1177) 64897) ((-1138 . -239) 64849) ((-48 . -132) T) ((-1223 . -102) T) ((-246 . -1125) 64601) ((-889 . -413) 64578) ((-1113 . -102) T) ((-1101 . -102) T) ((-912 . -868) T) ((-621 . -102) T) ((-488 . -102) T) ((-1265 . -38) 64407) ((-873 . -38) 64377) ((-1059 . -1076) 64351) ((-747 . -174) 64262) ((-669 . -626) 64244) ((-661 . 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. -320) 52471) ((-411 . -1242) T) ((-110 . -385) 52453) ((-324 . -132) T) ((-69 . -408) T) ((-110 . -124) T) ((-533 . -502) 52437) ((-670 . -1137) T) ((-606 . -19) 52419) ((-61 . -454) T) ((-61 . -408) T) ((-840 . -1125) T) ((-606 . -617) 52394) ((-490 . -1063) 52354) ((-669 . -1074) T) ((-670 . -23) T) ((-1307 . -1125) T) ((-31 . -102) T) ((-1265 . -662) 52264) ((-873 . -662) 52223) ((-832 . -733) 52072) ((-1294 . -1242) T) ((-590 . -878) T) ((-584 . -662) 52044) ((-118 . -865) NIL) ((-1197 . -424) 52028) ((-1150 . -424) 52012) ((-872 . -424) 51996) ((-891 . -102) 51947) ((-1276 . -102) T) ((-1256 . -527) 51716) ((-1255 . -102) T) ((-1228 . -320) 51654) ((-1199 . -297) 51619) ((-1198 . -297) 51577) ((-538 . -93) T) ((-1192 . -297) 51405) ((-323 . -626) 51387) ((-1127 . -1125) T) ((-1105 . -664) 51261) ((-727 . -465) T) ((-705 . -626) 51193) ((-300 . -742) T) ((-108 . -932) NIL) ((-705 . -627) 51154) ((-614 . -626) 51136) ((-590 . -626) 51118) ((-563 . -627) NIL) ((-563 . -626) 51100) 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. -320) 20349) ((-496 . -1125) T) ((-1150 . -627) 20097) ((-1059 . -174) T) ((-966 . -299) 20074) ((-221 . -1125) T) ((-872 . -626) 20056) ((-621 . -527) 19839) ((-81 . -629) 19780) ((-834 . -1063) 19764) ((-488 . -527) 19556) ((-849 . -868) 19535) ((-986 . -742) T) ((-751 . -742) T) ((-731 . -742) T) ((-363 . -1137) T) ((-1204 . -626) 19517) ((-226 . -102) T) ((-495 . -389) 19486) ((-528 . -1125) T) ((-523 . -1125) T) ((-521 . -1125) T) ((-815 . -664) 19460) ((-1049 . -465) T) ((-981 . -527) 19393) ((-363 . -23) T) ((-648 . -132) T) ((-620 . -132) T) ((-366 . -465) T) ((-246 . -380) 19372) ((-391 . -174) T) ((-1276 . -1083) T) ((-1255 . -1083) T) ((-228 . -1027) T) ((-832 . -629) 19109) ((-715 . -400) T) ((-431 . -742) T) ((-717 . -1246) T) ((-1167 . -654) 19057) ((-653 . -1125) T) ((-655 . -102) T) ((-593 . -887) 19041) ((-1307 . -1081) 19025) ((-1184 . -1218) 19001) ((-717 . -569) T) ((-127 . -1125) 18979) ((-730 . -1125) T) ((-674 . -38) 18949) ((-495 . -921) 18881) ((-256 . -1125) 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196829) ((-246 . -1063) 196656) ((-1197 . -664) 196545) ((-1150 . -664) 196434) ((-872 . -664) 196408) ((-734 . -626) 196390) ((-559 . -380) T) ((-1314 . -23) T) ((-710 . -923) NIL) ((-1312 . -23) T) ((-504 . -1125) T) ((-391 . -629) 196340) ((-391 . -631) 196322) ((-1059 . -1074) T) ((-883 . -102) T) ((-1214 . -297) 196301) ((-171 . -380) 196252) ((-1029 . -1242) T) ((-996 . -1242) T) ((-937 . -1242) T) ((-852 . -629) 196206) ((-843 . -629) 196161) ((-44 . -23) T) ((-1321 . -102) T) ((-492 . -297) 196140) ((-599 . -1125) T) ((-1171 . -1134) 196109) ((-440 . -1242) T) ((-1129 . -1128) 196061) ((-403 . -21) T) ((-403 . -25) T) ((-153 . -1137) T) ((-1236 . -733) 195958) ((-1222 . -1125) T) ((-1029 . -903) 195940) ((-1029 . -905) 195922) ((-636 . -233) 195906) ((-636 . -273) 195890) ((-634 . -21) T) ((-300 . -569) T) ((-634 . -25) T) ((-1029 . -1063) 195850) ((-727 . -733) 195815) ((-246 . -389) 195784) ((-391 . -1074) T) ((-226 . -1083) T) ((-118 . -273) 195761) ((-118 . -233) 195738) ((-59 . -297) 195690) ((-153 . -23) T) ((-529 . -297) 195642) ((-338 . -527) 195575) ((-509 . -297) 195527) ((-391 . -249) T) ((-391 . -239) T) ((-852 . -1074) T) ((-843 . -1074) T) ((-728 . -972) 195496) ((-717 . -865) T) ((-625 . -868) T) ((-487 . -626) 195478) ((-1278 . -1076) 195383) ((-593 . -662) 195355) ((-577 . -662) 195327) ((-508 . -662) 195277) ((-843 . -239) 195256) ((-135 . -865) T) ((-1278 . -656) 195148) ((-674 . -1125) T) ((-1214 . -617) 195127) ((-563 . -1218) 195106) ((-348 . -1125) T) ((-330 . -375) 195085) ((-420 . -148) 195064) ((-420 . -146) 195043) ((-987 . -1137) 194942) ((-831 . -1137) 194920) ((-246 . -921) 194852) ((-670 . -870) 194836) ((-492 . -617) 194815) ((-110 . -868) T) ((-537 . -1242) T) ((-563 . -107) 194765) ((-1029 . -389) 194747) ((-1029 . -350) 194729) ((-1201 . -626) 194711) ((-97 . -1125) T) ((-987 . -23) 194522) ((-490 . -21) T) ((-490 . -25) T) ((-831 . -23) 194374) ((-1201 . -627) 194296) ((-59 . -19) 194280) ((-1197 . -742) T) ((-1150 . -742) T) ((-1112 . -1125) T) ((-529 . -19) 194264) ((-509 . -19) 194248) ((-59 . -617) 194225) ((-1028 . -238) 194162) ((-924 . -102) 194112) ((-872 . -742) T) ((-798 . -1125) T) ((-529 . -617) 194089) ((-509 . -617) 194066) ((-796 . -1125) T) ((-796 . -1090) 194033) ((-474 . -1125) T) ((-467 . -1125) T) ((-599 . -733) 194008) ((-665 . -1125) T) ((-1284 . -47) 193985) ((-1278 . -102) T) ((-1277 . -47) 193955) ((-1256 . -47) 193932) ((-1236 . -174) 193883) ((-1198 . -318) 193862) ((-1192 . -318) 193841) ((-1121 . -629) 193822) ((-1115 . -629) 193803) ((-1105 . -569) 193754) ((-1105 . -1246) 193705) ((-1098 . -629) 193686) ((-1029 . -921) NIL) ((-1091 . -629) 193667) ((-686 . -132) T) ((-640 . -1137) T) ((-1061 . -629) 193648) ((-1044 . -629) 193629) ((-730 . -1081) 193599) ((-728 . -915) 193502) ((-715 . -662) 193452) ((-285 . -1125) T) ((-85 . -454) T) ((-85 . -408) T) ((-727 . -174) T) ((-653 . -1081) 193436) ((-50 . -1125) T) ((-608 . -47) 193413) ((-228 . -664) 193378) ((-594 . -1125) T) ((-531 . -1125) T) ((-500 . -836) T) ((-500 . -943) T) ((-371 . -1246) T) ((-365 . -1246) T) ((-357 . -1246) T) ((-330 . -1137) T) ((-327 . -1076) 193288) ((-324 . -1076) 193217) ((-108 . -1246) T) ((-639 . -629) 193198) ((-371 . -569) T) ((-220 . -943) T) ((-220 . -836) T) ((-327 . -656) 193108) ((-324 . -656) 193037) ((-365 . -569) T) ((-357 . -569) T) ((-653 . -111) 193016) ((-1321 . -1177) T) ((-496 . -629) 192997) ((-108 . -569) T) ((-1192 . -1047) NIL) ((-674 . -733) 192967) ((-495 . -868) 192918) ((-221 . -629) 192899) ((-330 . -23) T) ((-67 . -1242) T) ((-1025 . -626) 192831) ((-1316 . -21) T) ((-710 . -273) 192813) ((-710 . -233) 192795) ((-1316 . -25) T) ((-730 . -111) 192760) ((-1314 . -132) T) ((-660 . -34) T) ((-251 . -502) 192744) ((-1312 . -132) T) ((-1305 . -102) T) ((-1288 . -626) 192710) ((-1284 . -1242) T) ((-1127 . -1123) 192694) ((-173 . -1125) T) ((-1277 . -1242) T) ((-1277 . -1063) 192629) ((-1256 . -1242) T) ((-1256 . -905) NIL) ((-1256 . -903) 192581) ((-975 . -932) 192560) ((-1256 . -1063) 192526) ((-1236 . -527) 192493) ((-1214 . -627) NIL) ((-528 . -629) 192477) ((-1214 . -626) 192459) ((-1167 . -1148) 192404) ((-1112 . -733) 192253) ((-494 . -932) 192232) ((-1102 . -102) T) ((-1087 . -664) 192204) ((-975 . -664) 192093) ((-834 . -868) T) ((-798 . -733) 191922) ((-610 . -503) 191903) ((-598 . -503) 191884) ((-610 . -626) 191850) ((-598 . -626) 191816) ((-549 . -626) 191798) ((-592 . -1242) T) ((-549 . -627) 191779) ((-796 . -733) 191628) ((-1071 . -1235) 191557) ((-636 . -662) 191529) ((-393 . -25) T) ((-393 . -21) T) ((-494 . -664) 191418) ((-474 . -733) 191389) ((-467 . -733) 191238) ((-1012 . -102) T) ((-924 . -320) 191176) ((-894 . -93) T) ((-753 . -102) T) ((-653 . -629) 191153) ((-118 . -662) 191083) ((-618 . -629) 191065) ((-730 . -629) 191019) ((-697 . -93) T) ((-544 . -25) T) ((-692 . -93) T) ((-680 . -626) 191001) ((-661 . -503) 190982) ((-661 . -626) 190935) ((-142 . -102) T) ((-44 . -132) T) ((-609 . -1242) T) ((-608 . -1242) T) ((-355 . -1083) T) ((-300 . -1137) T) ((-491 . -93) T) ((-420 . -238) 190886) ((-367 . -626) 190868) ((-364 . -626) 190850) ((-356 . -626) 190832) ((-274 . -627) 190580) ((-274 . -626) 190562) ((-254 . -626) 190544) ((-254 . -627) 190405) ((-139 . -93) T) ((-138 . -93) T) ((-134 . -93) T) ((-1166 . -626) 190387) ((-1145 . -656) 190374) ((-1145 . -1076) 190361) ((-835 . -742) T) ((-835 . -875) T) ((-615 . -299) 190338) ((-594 . -733) 190303) ((-492 . -627) NIL) ((-492 . -626) 190285) ((-531 . -733) 190230) ((-327 . -102) T) ((-324 . -102) T) ((-300 . -23) T) ((-153 . -132) T) ((-933 . -626) 190212) ((-933 . -627) 190194) ((-399 . -742) T) ((-890 . -1081) 190146) ((-890 . -111) 190084) ((-730 . -1074) T) ((-728 . -1268) 190068) ((-710 . -361) NIL) ((-115 . -102) T) ((-140 . -102) T) ((-137 . -102) T) ((-532 . -626) 190000) ((-391 . -811) T) ((-169 . -1242) T) ((-226 . -1125) T) ((-391 . -808) T) ((-59 . -627) 189961) ((-228 . -810) T) ((-228 . -807) T) ((-59 . -626) 189873) ((-228 . -742) T) ((-529 . -627) 189834) ((-529 . -626) 189746) ((-510 . -626) 189678) ((-509 . -627) 189639) ((-509 . -626) 189551) ((-1105 . -375) 189502) ((-40 . -424) 189479) ((-77 . -1242) T) ((-889 . -932) NIL) ((-371 . -340) 189463) ((-371 . -375) T) ((-365 . -340) 189447) ((-365 . -375) T) ((-357 . -340) 189431) ((-357 . -375) T) ((-327 . -295) 189410) ((-108 . -375) T) ((-70 . -1242) T) ((-655 . -1125) T) ((-1256 . -350) 189362) ((-889 . -664) 189307) ((-1256 . -389) 189259) ((-987 . -132) 189114) ((-831 . -132) 188985) ((-45 . -868) NIL) ((-981 . -667) 188969) ((-1112 . -174) 188880) ((-981 . -385) 188864) ((-1087 . -810) T) ((-1087 . -807) T) ((-890 . -629) 188762) ((-798 . -174) 188653) ((-796 . -174) 188564) ((-832 . -47) 188526) ((-1087 . -742) T) ((-338 . -502) 188510) ((-975 . -742) T) ((-1305 . -320) 188448) ((-1284 . -921) 188361) ((-467 . -174) 188272) ((-251 . -297) 188224) ((-1277 . -921) 188130) ((-1276 . -1081) 187965) ((-1256 . -921) 187798) ((-494 . -742) T) ((-1255 . -1081) 187606) ((-1236 . -301) 187585) ((-1211 . -1242) T) ((-1208 . -380) T) ((-1207 . -380) T) ((-1171 . -152) 187569) ((-1145 . -102) T) ((-1143 . -1125) T) ((-1105 . -23) T) ((-1105 . -1137) T) ((-1100 . -102) T) ((-1082 . -626) 187536) ((-1028 . -422) 187508) ((-950 . -978) T) ((-753 . -320) 187446) ((-75 . -1242) T) ((-680 . -394) 187418) ((-171 . -932) 187371) ((-30 . -978) T) ((-112 . -860) T) ((-1 . -626) 187353) ((-1024 . -915) 187274) ((-129 . -667) 187256) ((-50 . -633) 187240) ((-710 . -662) 187175) ((-608 . -921) 187088) ((-451 . -102) T) ((-129 . -385) 187070) ((-142 . -320) NIL) ((-890 . -1074) T) ((-849 . -865) 187049) ((-81 . -1242) T) ((-727 . -301) T) ((-40 . -1083) T) ((-594 . -174) T) ((-531 . -174) T) ((-524 . -626) 187031) ((-171 . -664) 186905) ((-520 . -626) 186887) ((-363 . -148) 186869) ((-363 . -146) T) ((-371 . -1137) T) ((-365 . -1137) T) ((-357 . -1137) T) ((-1029 . -318) T) ((-937 . -318) T) ((-890 . -249) T) ((-108 . -1137) T) ((-890 . -239) 186848) ((-1276 . -111) 186669) ((-1255 . -111) 186458) ((-251 . -1280) 186442) ((-577 . -864) T) ((-371 . -23) T) ((-366 . -361) T) ((-327 . -320) 186429) ((-324 . -320) 186370) ((-365 . -23) T) ((-330 . -132) T) ((-357 . -23) T) ((-1029 . -1047) T) ((-31 . -629) 186351) ((-108 . -23) T) ((-670 . -1076) 186335) ((-251 . -617) 186312) ((-655 . -733) 186296) ((-344 . -1125) T) ((-670 . -656) 186266) ((-1278 . -38) 186158) ((-1265 . -932) 186137) ((-112 . -1125) T) ((-832 . -1242) T) ((-426 . -1242) T) ((-1060 . -102) T) ((-1265 . -664) 186026) ((-889 . -810) NIL) ((-873 . -664) 186000) ((-889 . -807) NIL) ((-832 . -905) NIL) ((-889 . -742) T) ((-1112 . -527) 185873) ((-798 . -527) 185820) ((-796 . -527) 185772) ((-584 . -664) 185759) ((-832 . -1063) 185587) ((-467 . -527) 185530) ((-401 . -402) T) ((-1276 . -629) 185343) ((-1255 . -629) 185091) ((-60 . -1242) T) ((-634 . -865) 185070) ((-513 . -677) T) ((-1171 . -1001) 185039) ((-1049 . -662) 184976) ((-1028 . -465) T) ((-715 . -864) T) ((-523 . -808) T) ((-487 . -1081) 184811) ((-513 . -113) T) ((-355 . -1125) T) ((-324 . -1177) NIL) ((-300 . -132) T) ((-407 . -1125) T) ((-888 . -1083) T) ((-710 . -382) 184778) ((-366 . -662) 184708) ((-226 . -633) 184685) ((-338 . -297) 184637) ((-487 . -111) 184458) ((-1276 . -1074) T) ((-1255 . -1074) T) ((-832 . -389) 184442) ((-840 . -1242) T) ((-171 . -742) T) ((-1307 . -1242) T) ((-670 . -102) T) ((-1276 . -249) 184421) ((-1276 . -239) 184373) ((-1255 . -239) 184278) ((-1255 . -249) 184257) ((-1028 . -415) NIL) ((-686 . -654) 184205) ((-327 . -38) 184115) ((-324 . -38) 184044) ((-69 . -626) 184026) ((-330 . -506) 183992) ((-48 . -662) 183942) ((-1214 . -299) 183921) ((-1250 . -865) T) ((-1138 . -1137) 183899) ((-83 . -1242) T) ((-61 . -626) 183881) ((-882 . -868) T) ((-492 . -299) 183860) ((-1307 . -1063) 183837) ((-1189 . -1125) T) ((-1138 . -23) 183689) ((-832 . -921) 183625) ((-1265 . -742) T) ((-1127 . -1242) T) ((-487 . -629) 183451) ((-363 . -238) T) ((-1112 . -301) 183382) ((-989 . -1125) T) ((-912 . -102) T) ((-798 . -301) 183293) ((-338 . -19) 183277) ((-59 . -299) 183254) ((-796 . -301) 183185) ((-873 . -742) T) ((-118 . -864) NIL) ((-529 . -299) 183162) ((-338 . -617) 183139) ((-509 . -299) 183116) ((-467 . -301) 183047) ((-1060 . -320) 182898) ((-894 . -503) 182879) ((-894 . -626) 182845) ((-697 . -503) 182826) ((-584 . -742) T) ((-692 . -503) 182807) ((-697 . -626) 182757) ((-692 . -626) 182723) ((-678 . -626) 182705) ((-491 . -503) 182686) ((-491 . -626) 182652) ((-251 . -627) 182613) ((-251 . -503) 182590) ((-139 . -503) 182571) ((-138 . -503) 182552) ((-134 . -503) 182533) ((-251 . -626) 182425) ((-215 . -102) T) ((-139 . -626) 182391) ((-138 . -626) 182357) ((-134 . -626) 182323) ((-1172 . -34) T) ((-966 . -1242) T) ((-355 . -733) 182268) ((-686 . -25) T) ((-686 . -21) T) ((-1201 . -629) 182249) ((-342 . -1242) T) ((-487 . -1074) T) ((-648 . -430) 182214) ((-620 . -430) 182179) ((-1145 . -1177) T) ((-1277 . -318) 182158) ((-728 . -1076) 181981) ((-594 . -301) T) ((-531 . -301) T) ((-1256 . -318) 181960) ((-487 . -239) 181912) ((-487 . -249) 181891) ((-452 . -1242) T) ((-728 . -656) 181720) ((-1256 . -1047) NIL) ((-1105 . -132) T) ((-890 . -811) 181699) ((-145 . -102) T) ((-40 . -1125) T) ((-890 . -808) 181678) ((-660 . -1035) 181662) ((-593 . -1083) T) ((-577 . -1083) T) ((-508 . -1083) T) ((-420 . -465) T) ((-371 . -132) T) ((-327 . -413) 181646) ((-324 . -413) 181607) ((-365 . -132) T) ((-357 . -132) T) ((-1206 . -1125) T) ((-1145 . -38) 181594) ((-1119 . -626) 181561) ((-108 . -132) T) ((-977 . -1125) T) ((-944 . -1125) T) ((-787 . -1125) T) ((-688 . -1125) T) ((-717 . -148) T) ((-117 . -148) T) ((-1314 . -21) T) ((-1314 . -25) T) ((-1312 . -21) T) ((-1312 . -25) T) ((-680 . -1081) 181545) ((-544 . -865) T) ((-513 . -865) T) ((-377 . -1242) T) ((-367 . -1081) 181497) ((-364 . -1081) 181449) ((-356 . -1081) 181401) ((-259 . -1242) T) ((-258 . -1242) T) ((-274 . -1081) 181244) ((-254 . -1081) 181087) ((-680 . -111) 181066) ((-833 . -1246) 181045) ((-560 . -860) T) ((-327 . -923) 181011) ((-367 . -111) 180949) ((-364 . -111) 180887) ((-356 . -111) 180825) ((-274 . -111) 180654) ((-254 . -111) 180483) ((-324 . -923) NIL) ((-636 . -424) 180467) ((-44 . -21) T) ((-44 . -25) T) ((-928 . -868) 180418) ((-831 . -654) 180324) ((-833 . -569) 180303) ((-500 . -868) T) ((-259 . -1063) 180130) ((-258 . -1063) 179957) ((-127 . -120) 179941) ((-220 . -868) T) ((-933 . -1081) 179906) ((-728 . -102) T) ((-715 . -1083) T) ((-610 . -629) 179887) ((-598 . -629) 179868) ((-549 . -631) 179771) ((-355 . -174) T) ((-153 . -21) T) ((-153 . -25) T) ((-88 . -626) 179753) ((-933 . -111) 179709) ((-40 . -733) 179654) ((-888 . -1125) T) ((-680 . -629) 179631) ((-661 . -629) 179612) ((-367 . -629) 179549) ((-364 . -629) 179486) ((-356 . -629) 179423) ((-560 . -1125) T) ((-338 . -627) 179384) ((-338 . -626) 179296) ((-274 . -629) 179049) ((-254 . -629) 178834) ((-188 . -1242) T) ((-1255 . -808) 178787) ((-1255 . -811) 178740) ((-259 . -389) 178709) ((-258 . -389) 178678) ((-562 . -868) T) ((-670 . -38) 178648) ((-621 . -34) T) ((-495 . -1137) 178626) ((-488 . -34) T) ((-1138 . -132) 178497) ((-987 . -25) 178308) ((-933 . -629) 178258) ((-892 . -626) 178240) ((-217 . -860) T) ((-987 . -21) 178195) ((-831 . -25) 178028) ((-831 . -21) 177939) ((-1248 . -380) T) ((-636 . -1083) T) ((-1203 . -569) 177918) ((-1197 . -47) 177895) ((-367 . -1074) T) ((-364 . -1074) T) ((-495 . -23) 177747) ((-356 . -1074) T) ((-274 . -1074) T) ((-254 . -1074) T) ((-1150 . -47) 177719) ((-118 . -1083) T) ((-1059 . -664) 177693) ((-981 . -34) T) ((-367 . -239) 177672) ((-367 . -249) T) ((-364 . -239) 177651) ((-364 . -249) T) ((-356 . -239) 177630) ((-356 . -249) T) ((-274 . -337) 177602) ((-254 . -337) 177559) ((-274 . -239) 177538) ((-1182 . -152) 177522) ((-259 . -921) 177454) ((-258 . -921) 177386) ((-1167 . -915) 177307) ((-1107 . -865) T) ((-1259 . -1242) 177285) ((-427 . -1137) T) ((-1236 . -1027) 177251) ((-1079 . -23) T) ((-1049 . -864) T) ((-933 . -1074) T) ((-333 . -664) 177233) ((-717 . -238) T) ((-686 . -235) 177178) ((-1198 . -943) 177157) ((-1192 . -943) 177136) ((-1192 . -836) NIL) ((-1024 . -1076) 177032) ((-990 . -1242) T) ((-933 . -249) T) ((-833 . -375) 177011) ((-217 . -1125) T) ((-397 . -23) T) ((-128 . -1125) 176989) ((-122 . -1125) 176967) ((-933 . -239) T) ((-129 . -34) T) ((-391 . -664) 176932) ((-1024 . -656) 176880) ((-888 . -733) 176867) ((-1321 . -662) 176839) ((-1071 . -152) 176804) ((-1018 . -1242) T) ((-880 . -1242) T) ((-40 . -174) T) ((-710 . -424) 176786) ((-728 . -320) 176773) ((-852 . -664) 176733) ((-843 . -664) 176707) ((-330 . -25) T) ((-330 . -21) T) ((-674 . -297) 176686) ((-593 . -1125) T) ((-577 . -1125) T) ((-508 . -1125) T) ((-1197 . -1242) T) ((-251 . -299) 176663) ((-1150 . -1242) T) ((-872 . -1242) T) ((-324 . -273) 176624) ((-324 . -233) 176585) ((-1247 . -868) T) ((-1197 . -905) NIL) ((-55 . -1125) T) ((-1150 . -905) 176444) ((-130 . -865) T) ((-1197 . -1063) 176324) ((-1150 . -1063) 176207) ((-185 . -626) 176189) ((-872 . -1063) 176085) ((-798 . -297) 176012) ((-833 . -1137) T) ((-1059 . -742) T) ((-1071 . -1001) 175941) ((-615 . -667) 175925) ((-1028 . -915) 175832) ((-1024 . -102) T) ((-833 . -23) T) ((-728 . -1177) 175810) ((-710 . -1083) T) ((-615 . -385) 175794) ((-363 . -465) T) ((-355 . -301) T) ((-1293 . -1125) T) ((-255 . -1125) T) ((-412 . -102) T) ((-300 . -21) T) ((-300 . -25) T) ((-373 . -742) T) ((-726 . -1125) T) ((-715 . -1125) T) ((-373 . -486) T) ((-1236 . -626) 175776) ((-1197 . -389) 175760) ((-1150 . -389) 175744) ((-1049 . -424) 175706) ((-142 . -232) 175688) ((-391 . -810) T) ((-391 . -807) T) ((-888 . -174) T) ((-391 . -742) T) ((-727 . -626) 175670) ((-728 . -38) 175499) ((-1292 . -1290) 175483) ((-363 . -415) T) ((-1292 . -1125) 175433) ((-1215 . -1125) T) ((-593 . -733) 175420) ((-577 . -733) 175407) ((-508 . -733) 175372) ((-1278 . -662) 175262) ((-327 . -642) 175241) ((-852 . -742) T) ((-843 . -742) T) ((-1140 . -1242) T) ((-660 . -1242) T) ((-1105 . -654) 175189) ((-1197 . -921) 175132) ((-1150 . -921) 175116) ((-831 . -235) 175007) ((-678 . -1081) 174991) ((-108 . -654) 174973) ((-495 . -132) 174844) ((-1203 . -1137) T) ((-835 . -1242) T) ((-975 . -47) 174813) ((-636 . -1125) T) ((-678 . -111) 174792) ((-504 . -626) 174758) ((-338 . -299) 174735) ((-399 . -1242) T) ((-335 . -1242) T) ((-494 . -47) 174692) ((-1203 . -23) T) ((-118 . -1125) T) ((-103 . -102) 174642) ((-1304 . -1137) T) ((-561 . -865) T) ((-228 . -1242) T) ((-1079 . -132) T) ((-1049 . -1083) T) ((-1304 . -23) T) ((-1222 . -626) 174624) ((-835 . -1063) 174608) ((-1145 . -844) T) ((-1028 . -740) 174580) ((-1130 . -1125) T) ((-715 . -733) 174545) ((-599 . -626) 174527) ((-399 . -1063) 174511) ((-366 . -1083) T) ((-397 . -132) T) ((-335 . -1063) 174495) ((-1105 . -21) T) ((-1105 . -25) T) ((-1029 . -836) T) ((-228 . -905) 174477) ((-1029 . -943) T) ((-91 . -34) T) ((-1024 . -320) 174442) ((-937 . -943) T) ((-894 . -629) 174423) ((-730 . -664) 174383) ((-500 . -1246) T) ((-697 . -629) 174364) ((-692 . -629) 174345) ((-653 . -664) 174329) ((-220 . -1246) T) ((-420 . -915) 174250) ((-228 . -1063) 174210) ((-40 . -301) T) ((-500 . -569) T) ((-491 . -629) 174191) ((-371 . -25) T) ((-327 . -662) 173846) ((-324 . -662) 173760) ((-371 . -21) T) ((-365 . -25) T) ((-365 . -21) T) ((-220 . -569) T) ((-357 . -25) T) ((-357 . -21) T) ((-330 . -235) 173706) ((-251 . -629) 173683) ((-139 . -629) 173664) ((-138 . -629) 173645) ((-134 . -629) 173626) ((-108 . -25) T) ((-108 . -21) T) ((-48 . -1083) T) ((-593 . -174) T) ((-577 . -174) T) ((-508 . -174) T) ((-1087 . -1242) T) ((-975 . -1242) T) ((-729 . -1242) T) ((-655 . -297) 173593) ((-674 . -626) 173575) ((-494 . -1242) T) ((-753 . -752) 173559) ((-348 . -626) 173541) ((-68 . -395) T) ((-68 . -408) T) ((-1127 . -107) 173525) ((-1087 . -905) 173507) ((-975 . -905) 173432) ((-669 . -1137) T) ((-636 . -733) 173419) ((-494 . -905) NIL) ((-1171 . -102) T) ((-1119 . -631) 173403) ((-1087 . -1063) 173385) ((-97 . -626) 173367) ((-490 . -148) T) ((-975 . -1063) 173247) ((-118 . -733) 173192) ((-728 . -923) 173099) ((-669 . -23) T) ((-494 . -1063) 172975) ((-1112 . -627) NIL) ((-1112 . -626) 172957) ((-798 . -627) NIL) ((-798 . -626) 172918) ((-796 . -627) 172552) ((-796 . -626) 172466) ((-1138 . -654) 172372) ((-815 . -868) 172351) ((-474 . -626) 172333) ((-467 . -626) 172315) ((-467 . -627) 172176) ((-1060 . -232) 172122) ((-890 . -932) 172101) ((-127 . -34) T) ((-833 . -132) T) ((-665 . -626) 172083) ((-591 . -102) T) ((-367 . -1311) 172067) ((-364 . -1311) 172051) ((-356 . -1311) 172035) ((-122 . -527) 171968) ((-128 . -527) 171901) ((-524 . -808) T) ((-524 . -811) T) ((-523 . -810) T) ((-103 . -320) 171839) ((-225 . -102) 171789) ((-715 . -174) T) ((-710 . -1125) T) ((-890 . -664) 171705) ((-65 . -396) T) ((-285 . -626) 171687) ((-65 . -408) T) ((-975 . -389) 171671) ((-888 . -301) T) ((-50 . -626) 171653) ((-1024 . -38) 171601) ((-1145 . -662) 171573) ((-594 . -626) 171555) ((-494 . -389) 171539) ((-594 . -627) 171521) ((-531 . -626) 171503) ((-933 . -1311) 171490) ((-889 . -1242) T) ((-717 . -465) T) ((-508 . -527) 171456) ((-1303 . -1242) T) ((-1302 . -1242) T) ((-500 . -375) T) ((-367 . -380) 171435) ((-364 . -380) 171414) ((-356 . -380) 171393) ((-730 . -742) T) ((-220 . -375) T) ((-117 . -465) T) ((-1315 . -1306) 171377) ((-889 . -903) 171354) ((-889 . -905) NIL) ((-987 . -865) 171253) ((-831 . -865) 171204) ((-1249 . -102) T) ((-670 . -672) 171188) ((-1228 . -34) T) ((-173 . -626) 171170) ((-1138 . -25) 171003) ((-1138 . -21) 170914) ((-889 . -1063) 170891) ((-975 . -921) 170872) ((-1265 . -47) 170849) ((-933 . -380) T) ((-606 . -868) T) ((-59 . -667) 170833) ((-529 . -667) 170817) ((-494 . -921) 170794) ((-71 . -454) T) ((-71 . -408) T) ((-509 . -667) 170778) ((-59 . -385) 170762) ((-636 . -174) T) ((-529 . -385) 170746) ((-509 . -385) 170730) ((-559 . -1242) T) ((-843 . -724) 170714) ((-1197 . -318) 170693) ((-1203 . -132) T) ((-1167 . -1076) 170677) ((-118 . -174) T) ((-1167 . -656) 170609) ((-1171 . -320) 170547) ((-171 . -1242) T) ((-1304 . -132) T) ((-1277 . -943) 170526) ((-1256 . -943) 170505) ((-1256 . -836) NIL) ((-884 . -1076) 170475) ((-648 . -760) 170459) ((-620 . -760) 170443) ((-1255 . -932) 170396) ((-1049 . -1125) T) ((-928 . -1137) T) ((-884 . -656) 170366) ((-710 . -733) 170316) ((-919 . -1242) T) ((-889 . -389) 170293) ((-889 . -350) 170270) ((-857 . -1242) T) ((-824 . -1242) T) ((-171 . -903) 170254) ((-171 . -905) 170179) ((-785 . -1242) T) ((-693 . -1242) T) ((-1292 . -527) 170112) ((-1276 . -664) 170009) ((-1105 . -235) 169882) ((-500 . -1137) T) ((-366 . -1125) T) ((-220 . -1137) T) ((-76 . -454) T) ((-76 . -408) T) ((-171 . -1063) 169778) ((-305 . -915) 169735) ((-330 . -865) T) ((-1255 . -664) 169543) ((-890 . -810) 169522) ((-890 . -807) 169501) ((-890 . -742) T) ((-500 . -23) T) ((-371 . -235) 169474) ((-365 . -235) 169447) ((-357 . -235) 169420) ((-176 . -465) T) ((-86 . -454) T) ((-225 . -320) 169358) ((-86 . -408) T) ((-226 . -626) 169340) ((-108 . -235) 169327) ((-220 . -23) T) ((-1316 . -1309) 169306) ((-693 . -1063) 169290) ((-593 . -301) T) ((-577 . -301) T) ((-508 . -301) T) ((-1265 . -1242) T) ((-137 . -483) 169245) ((-873 . -1242) T) ((-670 . -662) 169204) ((-48 . -1125) T) ((-728 . -273) 169188) ((-728 . -233) 169172) ((-889 . -921) NIL) ((-584 . -1242) T) ((-1265 . -905) NIL) ((-908 . -102) T) ((-904 . -102) T) ((-655 . -626) 169154) ((-401 . -1125) T) ((-171 . -389) 169138) ((-171 . -350) 169122) ((-1265 . -1063) 169002) ((-873 . -1063) 168898) ((-1167 . -102) T) ((-1024 . -923) 168821) ((-678 . -808) 168800) ((-669 . -132) T) ((-678 . -811) 168779) ((-118 . -527) 168687) ((-584 . -1063) 168669) ((-305 . -1299) 168639) ((-1192 . -868) NIL) ((-884 . -102) T) ((-986 . -569) 168618) ((-1236 . -1081) 168501) ((-1028 . -1076) 168446) ((-495 . -654) 168352) ((-927 . -1125) T) ((-1049 . -733) 168289) ((-727 . -1081) 168254) ((-1028 . -656) 168199) ((-630 . -102) T) ((-615 . -34) T) ((-1172 . -1242) T) ((-1236 . -111) 168068) ((-487 . -664) 167965) ((-366 . -733) 167910) ((-171 . -921) 167869) ((-715 . -301) T) ((-710 . -174) T) ((-727 . -111) 167825) ((-1321 . -1083) T) ((-1265 . -389) 167809) ((-431 . -1246) 167787) ((-1143 . -626) 167769) ((-324 . -864) NIL) ((-431 . -569) T) ((-228 . -318) T) ((-1255 . -807) 167722) ((-1255 . -810) 167675) ((-1276 . -742) T) ((-1255 . -742) T) ((-48 . -733) 167640) ((-228 . -1047) T) ((-1278 . -424) 167606) ((-1265 . -921) 167549) ((-363 . -1299) 167526) ((-1236 . -629) 167408) ((-734 . -742) T) ((-344 . -626) 167390) ((-533 . -868) 167369) ((-1138 . -235) 167260) ((-112 . -626) 167242) ((-112 . -627) 167224) ((-734 . -486) T) ((-727 . -629) 167174) ((-1315 . -1076) 167158) ((-495 . -25) 166991) ((-128 . -502) 166975) ((-122 . -502) 166959) ((-495 . -21) 166870) ((-1315 . -656) 166840) ((-636 . -301) T) ((-599 . -1081) 166815) ((-450 . -1125) T) ((-1087 . -318) T) ((-118 . -301) T) ((-1129 . -102) T) ((-1028 . -102) T) ((-599 . -111) 166783) ((-1236 . -1074) T) ((-1167 . -320) 166721) ((-1087 . -1047) T) ((-1079 . -25) T) ((-66 . -1242) T) ((-911 . -1242) T) ((-1079 . -21) T) ((-727 . -1074) T) ((-397 . -21) T) ((-397 . -25) T) ((-710 . -527) NIL) ((-1049 . -174) T) ((-727 . -249) T) ((-1087 . -558) T) ((-728 . -662) 166631) ((-519 . -102) T) ((-515 . -102) T) ((-366 . -174) T) ((-355 . -626) 166613) ((-420 . -1076) 166565) ((-407 . -626) 166547) ((-1145 . -864) T) ((-487 . -742) T) ((-911 . -1063) 166515) ((-420 . -656) 166467) ((-108 . -865) T) ((-674 . -1081) 166451) ((-500 . -132) T) ((-1278 . -1083) T) ((-220 . -132) T) ((-1182 . -102) 166401) ((-99 . -1125) T) ((-246 . -868) 166352) ((-251 . -682) 166336) ((-251 . -667) 166320) ((-674 . -111) 166299) ((-599 . -629) 166283) ((-327 . -424) 166267) ((-251 . -385) 166251) ((-1184 . -241) 166198) ((-1024 . -273) 166182) ((-1024 . -233) 166166) ((-74 . -1242) T) ((-48 . -174) T) ((-717 . -400) T) ((-717 . -144) T) ((-1315 . -102) T) ((-1223 . -1242) T) ((-1222 . -629) 166148) ((-1113 . -1242) T) ((-1112 . -1081) 165991) ((-1101 . -1242) T) ((-274 . -932) 165970) ((-254 . -932) 165949) ((-798 . -1081) 165772) ((-796 . -1081) 165615) ((-621 . -1242) T) ((-1189 . -626) 165597) ((-1112 . -111) 165426) ((-1071 . -102) T) ((-488 . -1242) T) ((-474 . -1081) 165397) ((-467 . -1081) 165240) ((-680 . -664) 165224) ((-889 . -318) T) ((-798 . -111) 165033) ((-796 . -111) 164862) ((-367 . -664) 164814) ((-364 . -664) 164766) ((-356 . -664) 164718) ((-274 . -664) 164607) ((-254 . -664) 164496) ((-1183 . -865) T) ((-1113 . -1063) 164480) ((-1101 . -1063) 164457) ((-1029 . -868) T) ((-1025 . -34) T) ((-474 . -111) 164418) ((-467 . -111) 164247) ((-996 . -868) T) ((-989 . -626) 164229) ((-986 . -1137) T) ((-981 . -1242) T) ((-127 . -1035) 164213) ((-866 . -1242) T) ((-889 . -1047) NIL) ((-751 . -1137) T) ((-731 . -1137) T) ((-674 . -629) 164131) ((-1292 . -502) 164115) ((-1209 . -1242) T) ((-1208 . -1242) T) ((-1167 . -38) 164075) ((-986 . -23) T) ((-933 . -664) 164040) ((-883 . -1125) T) ((-859 . -102) T) ((-833 . -21) T) ((-648 . -1076) 164024) ((-620 . -1076) 164008) ((-833 . -25) T) ((-751 . -23) T) ((-731 . -23) T) ((-648 . -656) 163992) ((-110 . -677) T) ((-620 . -656) 163976) ((-594 . -1081) 163941) ((-531 . -1081) 163886) ((-230 . -57) 163844) ((-466 . -23) T) ((-420 . -102) T) ((-1207 . -1242) T) ((-271 . -102) T) ((-110 . -113) T) ((-710 . -301) T) ((-884 . -38) 163814) ((-1112 . -629) 163550) ((-594 . -111) 163506) ((-531 . -111) 163435) ((-431 . -1137) T) ((-327 . -1083) 163325) ((-324 . -1083) T) ((-129 . -1242) T) ((-131 . -1242) T) ((-798 . -629) 163073) ((-796 . -629) 162839) ((-674 . -1074) T) ((-1321 . -1125) T) ((-467 . -629) 162624) ((-171 . -318) 162555) ((-431 . -23) T) ((-40 . -626) 162537) ((-40 . -627) 162521) ((-108 . -1017) 162503) ((-117 . -887) 162487) ((-665 . -629) 162471) ((-48 . -527) 162437) ((-1228 . -1035) 162421) ((-1206 . -626) 162388) ((-1214 . -34) T) ((-977 . -626) 162354) ((-944 . -626) 162336) ((-1138 . -865) 162287) ((-787 . -626) 162269) ((-688 . -626) 162251) ((-530 . -1242) T) ((-1265 . -318) 162230) ((-1182 . -320) 162168) ((-1166 . -34) T) ((-492 . -34) T) ((-1117 . -1242) T) ((-490 . -465) T) ((-1059 . -1242) T) ((-1112 . -1074) T) ((-50 . -629) 162137) ((-798 . -1074) T) ((-796 . -1074) T) ((-663 . -241) 162121) ((-645 . -241) 162067) ((-1203 . -21) T) ((-594 . -629) 162017) ((-531 . -629) 161947) ((-495 . -235) 161838) ((-1203 . -25) T) ((-1112 . -337) 161799) ((-467 . -1074) T) ((-1112 . -239) 161778) ((-798 . -337) 161755) ((-798 . -239) T) ((-796 . -337) 161727) ((-747 . -1246) 161706) ((-532 . -34) T) ((-338 . -667) 161690) ((-529 . -34) T) ((-59 . -34) T) ((-510 . -34) T) ((-509 . -34) T) ((-467 . -337) 161669) ((-338 . -385) 161653) ((-373 . -1242) T) ((-333 . -1242) T) ((-1028 . -1177) NIL) ((-747 . -569) 161584) ((-648 . -102) T) ((-620 . -102) T) ((-367 . -742) T) ((-364 . -742) T) ((-356 . -742) T) ((-274 . -742) T) ((-254 . -742) T) ((-391 . -1242) T) ((-1304 . -21) T) ((-1071 . -320) 161492) ((-1304 . -25) T) ((-924 . -1125) 161470) ((-834 . -235) 161457) ((-50 . -1074) T) ((-1199 . -569) 161436) ((-1198 . -1246) 161415) ((-1198 . -569) 161366) ((-1192 . -1246) 161345) ((-1192 . -569) 161296) ((-1049 . -301) T) ((-594 . -1074) T) ((-531 . -1074) T) ((-1028 . -38) 161241) ((-373 . -1063) 161225) ((-333 . -1063) 161209) ((-1024 . -662) 161132) ((-391 . -905) 161114) ((-852 . -1242) T) ((-843 . -1242) T) ((-841 . -1242) T) ((-815 . -1137) T) ((-933 . -742) T) ((-594 . -249) T) ((-594 . -239) T) ((-531 . -239) T) ((-531 . -249) T) ((-1151 . -569) 161093) ((-366 . -301) T) ((-663 . -711) 161077) ((-391 . -1063) 161037) ((-305 . -1076) 160958) ((-351 . -915) 160937) ((-1145 . -1083) T) ((-103 . -126) 160921) ((-305 . -656) 160863) ((-815 . -23) T) ((-1314 . -1309) 160839) ((-1312 . -1309) 160818) ((-1292 . -297) 160770) ((-1278 . -1125) T) ((-420 . -320) 160735) ((-1167 . -923) 160658) ((-888 . -626) 160640) ((-852 . -1063) 160609) ((-655 . -1081) 160593) ((-205 . -803) T) ((-204 . -803) T) ((-203 . -803) T) ((-202 . -803) T) ((-201 . -803) T) ((-200 . -803) T) ((-199 . -803) T) ((-198 . -803) T) ((-197 . -803) T) ((-196 . -803) T) ((-560 . -626) 160575) ((-508 . -1027) T) ((-284 . -855) T) ((-283 . -855) T) ((-282 . -855) T) ((-281 . -855) T) ((-48 . -301) T) ((-280 . -855) T) ((-279 . -855) T) ((-278 . -855) T) ((-195 . -803) T) ((-655 . -111) 160554) ((-625 . -865) T) ((-670 . -424) 160538) ((-686 . -238) 160489) ((-226 . -629) 160451) ((-110 . -865) T) ((-669 . -21) T) ((-669 . -25) T) ((-1315 . -38) 160421) ((-118 . -297) 160372) ((-1292 . -19) 160356) ((-1256 . -868) NIL) ((-1292 . -617) 160333) ((-1305 . -1125) T) ((-363 . -1076) 160278) ((-1102 . -1125) T) ((-1012 . -1125) T) ((-986 . -132) T) ((-833 . -235) 160265) ((-753 . -1125) T) ((-363 . -656) 160210) ((-751 . -132) T) ((-731 . -132) T) ((-524 . -809) T) ((-524 . -810) T) ((-466 . -132) T) ((-420 . -1177) 160188) 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159112) ((-55 . -626) 159094) ((-1197 . -943) 159073) ((-747 . -1137) T) ((-651 . -102) T) ((-528 . -1242) T) ((-523 . -1242) T) ((-521 . -1242) T) ((-363 . -102) T) ((-1241 . -1108) T) ((-1145 . -860) T) ((-834 . -865) T) ((-747 . -23) T) ((-355 . -1081) 159018) ((-1172 . -107) 159002) ((-1293 . -626) 158984) ((-653 . -1242) T) ((-1199 . -23) T) ((-1199 . -1137) T) ((-1198 . -1137) T) ((-1198 . -23) T) ((-528 . -1063) 158968) ((-1192 . -1137) T) ((-1151 . -1137) T) ((-355 . -111) 158897) ((-1029 . -1246) T) ((-127 . -1242) T) ((-937 . -1246) T) ((-1192 . -23) T) ((-1167 . -273) 158881) ((-710 . -297) NIL) ((-730 . -1242) T) ((-1167 . -233) 158865) ((-1151 . -23) T) ((-1100 . -1125) T) ((-1029 . -569) T) ((-937 . -569) T) ((-256 . -1242) T) ((-189 . -1242) T) ((-163 . -1242) T) ((-158 . -1242) T) ((-255 . -626) 158847) ((-831 . -238) 158744) ((-815 . -132) T) ((-726 . -626) 158726) ((-327 . -733) 158636) ((-324 . -733) 158565) ((-715 . -626) 158547) ((-715 . -627) 158492) ((-420 . 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NIL) ((-1276 . -47) 157547) ((-1255 . -47) 157524) ((-1166 . -1035) 157495) ((-1145 . -733) 157482) ((-3 . |UnionCategory|) T) ((-1130 . -626) 157464) ((-1105 . -148) 157443) ((-1105 . -146) 157394) ((-1029 . -375) T) ((-989 . -629) 157378) ((-228 . -943) T) ((-40 . -111) 157307) ((-890 . -1063) 157171) ((-1028 . -233) 157148) ((-1028 . -273) 157125) ((-717 . -1076) 157112) ((-937 . -375) T) ((-717 . -656) 157099) ((-330 . -1230) 157065) ((-391 . -318) T) ((-330 . -1227) 157031) ((-327 . -174) 157010) ((-324 . -174) T) ((-621 . -1218) 156986) ((-594 . -1311) 156973) ((-531 . -1311) 156950) ((-117 . -1076) 156937) ((-371 . -148) 156916) ((-371 . -146) 156867) ((-365 . -148) 156846) ((-365 . -146) 156797) ((-357 . -148) 156776) ((-117 . -656) 156763) ((-357 . -146) 156714) ((-330 . -35) 156680) ((-488 . -1218) 156659) ((0 . |EnumerationCategory|) T) ((-330 . -95) 156625) ((-391 . -1047) T) ((-108 . -148) T) ((-108 . -146) NIL) ((-45 . -241) 156575) ((-670 . -1125) T) ((-621 . -107) 156522) ((-498 . -132) T) ((-488 . -107) 156472) ((-246 . -1137) 156450) ((-31 . -1242) T) ((-890 . -389) 156434) ((-890 . -350) 156418) ((-246 . -23) 156270) ((-40 . -629) 156200) ((-1305 . -527) 156133) ((-1087 . -943) T) ((-1087 . -836) T) ((-594 . -380) T) ((-531 . -380) T) ((-1284 . -569) 156112) ((-1277 . -1246) 156091) ((-1277 . -569) 156042) ((-1276 . -1242) T) ((-1256 . -1246) 156021) ((-363 . -1177) T) ((-338 . -34) T) ((-44 . -430) 156005) ((-1206 . -629) 155941) ((-891 . -1242) T) ((-403 . -760) 155925) ((-1256 . -569) 155876) ((-1255 . -1242) T) ((-1167 . -662) 155835) ((-747 . -132) T) ((-688 . -629) 155819) ((-1255 . -905) 155692) ((-1255 . -903) 155662) ((-1199 . -132) T) ((-1198 . -132) T) ((-1192 . -132) T) ((-1151 . -132) T) ((-322 . -1108) T) ((-1049 . -1027) T) ((-753 . -527) 155595) ((-1029 . -23) T) ((-1029 . -1137) T) ((-912 . -1125) T) ((-145 . -860) T) ((-1028 . -361) NIL) ((-707 . -626) 155577) ((-966 . -868) 155556) ((-536 . -320) 155494) ((-996 . -23) T) 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. -629) 154385) ((-259 . -868) 154336) ((-258 . -868) 154287) ((-882 . -865) T) ((-1255 . -350) 154257) ((-1255 . -389) 154227) ((-1105 . -238) 154106) ((-225 . -1146) 154090) ((-305 . -923) 154049) ((-1292 . -299) 154026) ((-371 . -238) 154005) ((-365 . -238) 153984) ((-487 . -1242) T) ((-357 . -238) 153963) ((-108 . -238) T) ((-1236 . -664) 153888) ((-1028 . -662) 153818) ((-986 . -21) T) ((-986 . -25) T) ((-751 . -21) T) ((-751 . -25) T) ((-731 . -21) T) ((-731 . -25) T) ((-727 . -664) 153783) ((-466 . -21) T) ((-466 . -25) T) ((-351 . -102) T) ((-176 . -102) T) ((-1024 . -1083) T) ((-888 . -1074) T) ((-790 . -102) T) ((-1277 . -375) 153762) ((-1276 . -921) 153668) ((-1256 . -375) 153647) ((-1255 . -921) 153498) ((-1201 . -1242) T) ((-1049 . -626) 153480) ((-420 . -844) 153433) ((-1199 . -506) 153399) ((-171 . -943) 153330) ((-1198 . -506) 153296) ((-1192 . -506) 153262) ((-728 . -1125) T) ((-1151 . -506) 153228) ((-593 . -1081) 153215) ((-577 . -1081) 153202) ((-508 . -1081) 153167) ((-327 . -301) 153146) ((-324 . -301) T) ((-366 . -626) 153128) ((-431 . -25) T) ((-431 . -21) T) ((-99 . -297) 153107) ((-593 . -111) 153092) ((-577 . -111) 153077) ((-508 . -111) 153033) ((-1201 . -905) 153000) ((-924 . -502) 152984) ((-48 . -626) 152966) ((-48 . -627) 152911) ((-246 . -132) 152782) ((-1315 . -662) 152741) ((-1265 . -943) 152720) ((-832 . -1246) 152699) ((-401 . -503) 152680) ((-1060 . -527) 152524) ((-401 . -626) 152490) ((-832 . -569) 152421) ((-599 . -664) 152396) ((-274 . -47) 152368) ((-254 . -47) 152325) ((-544 . -522) 152302) ((-593 . -629) 152274) ((-577 . -629) 152246) ((-508 . -629) 152179) ((-1099 . -1242) T) ((-1025 . -1242) T) ((-1284 . -23) T) ((-1284 . -1137) T) ((-1277 . -1137) T) ((-1277 . -23) T) ((-1256 . -1137) T) ((-715 . -1081) 152144) ((-1256 . -23) T) ((-1236 . -742) T) ((-1145 . -301) T) ((-1138 . -238) 152041) ((-1029 . -132) T) ((-1028 . -382) 152013) ((-112 . -380) T) ((-487 . -921) 151919) ((-996 . -132) T) ((-927 . -626) 151901) 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T) ((-1052 . -1235) 149795) ((-849 . -102) T) ((-705 . -57) 149753) ((-715 . -1074) T) ((-648 . -662) 149722) ((-620 . -662) 149691) ((-50 . -664) 149665) ((-300 . -465) T) ((-489 . -1235) 149634) ((0 . -102) T) ((-594 . -664) 149599) ((-531 . -664) 149544) ((-49 . -102) T) ((-933 . -1063) 149531) ((-715 . -249) T) ((-1105 . -422) 149510) ((-747 . -654) 149458) ((-1024 . -1125) T) ((-728 . -174) 149349) ((-636 . -629) 149244) ((-500 . -1017) 149226) ((-431 . -235) 149171) ((-274 . -389) 149155) ((-254 . -389) 149139) ((-412 . -1125) T) ((-1051 . -102) 149117) ((-351 . -38) 149101) ((-220 . -1017) 149083) ((-118 . -629) 149013) ((-176 . -38) 148945) ((-1276 . -318) 148924) ((-1255 . -318) 148903) ((-674 . -742) T) ((-99 . -626) 148885) ((-490 . -1076) 148850) ((-1192 . -654) 148802) ((-490 . -656) 148767) ((-660 . -868) 148746) ((-498 . -25) T) ((-498 . -21) T) ((-1255 . -1047) 148698) ((-1082 . -1242) T) ((-1 . -1242) T) ((-636 . -1074) T) ((-391 . -417) T) ((-403 . -102) T) ((-1130 . -631) 148613) ((-274 . -921) 148559) ((-254 . -921) 148536) ((-118 . -1074) T) ((-1112 . -742) T) ((-832 . -1137) T) ((-835 . -868) T) ((-636 . -239) 148515) ((-634 . -102) T) ((-524 . -1242) T) ((-520 . -1242) T) ((-798 . -742) T) ((-796 . -742) T) ((-1247 . -865) T) ((-426 . -1137) T) ((-118 . -249) T) ((-40 . -380) NIL) ((-118 . -239) NIL) ((-399 . -868) 148494) ((-467 . -742) T) ((-832 . -23) T) ((-747 . -25) T) ((-747 . -21) T) ((-686 . -915) 148415) ((-1102 . -297) 148394) ((-78 . -409) T) ((-78 . -408) T) ((-546 . -783) 148376) ((-228 . -868) T) ((-710 . -1081) 148326) ((-1317 . -102) T) ((-1284 . -132) T) ((-1277 . -132) T) ((-1256 . -132) T) ((-1199 . -25) T) ((-1167 . -424) 148310) ((-648 . -379) 148242) ((-620 . -379) 148174) ((-1182 . -1174) 148158) ((-103 . -1125) 148136) ((-1199 . -21) T) ((-1198 . -21) T) ((-883 . -626) 148118) ((-1024 . -733) 148066) ((-226 . -664) 148033) ((-710 . -111) 147967) ((-50 . -742) T) ((-1198 . -25) T) ((-363 . -361) T) ((-1192 . -21) T) 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-1242) T) ((-678 . -1242) T) ((-831 . -915) 145619) ((-491 . -1242) T) ((-251 . -1242) T) ((-544 . -102) T) ((-513 . -102) T) ((-153 . -1299) 145603) ((-139 . -1242) T) ((-138 . -1242) T) ((-134 . -1242) T) ((-1241 . -102) T) ((-1049 . -629) 145540) ((-833 . -238) T) ((-1197 . -1246) 145519) ((-217 . -380) T) ((-366 . -629) 145449) ((-1150 . -1246) 145428) ((-246 . -25) 145261) ((-246 . -21) 145172) ((-128 . -120) 145156) ((-122 . -120) 145140) ((-44 . -760) 145124) ((-1197 . -569) 145035) ((-1150 . -569) 144966) ((-1249 . -1125) T) ((-559 . -868) T) ((-1060 . -297) 144941) ((-1191 . -1108) T) ((-1019 . -1108) T) ((-832 . -132) T) ((-118 . -811) NIL) ((-118 . -808) NIL) ((-367 . -318) T) ((-364 . -318) T) ((-356 . -318) T) ((-1119 . -1242) 144919) ((-259 . -1137) 144897) ((-258 . -1137) 144875) ((-1049 . -1074) T) ((-1028 . -1083) T) ((-48 . -629) 144808) ((-355 . -664) 144753) ((-1305 . -626) 144715) ((-1305 . -627) 144676) ((-634 . -38) 144660) ((-1199 . -235) 144613) ((-1198 . -235) 144559) ((-1102 . -626) 144541) ((-1049 . -249) T) ((-366 . -1074) T) ((-831 . -1299) 144511) ((-259 . -23) T) ((-258 . -23) T) ((-1012 . -626) 144493) ((-1192 . -235) 144310) ((-1184 . -152) 144257) ((-753 . -627) 144218) ((-753 . -626) 144200) ((-1029 . -25) T) ((-815 . -865) 144179) ((-1024 . -527) 144091) ((-693 . -868) T) ((-366 . -239) T) ((-366 . -249) T) ((-401 . -629) 144072) ((-933 . -318) T) ((-142 . -626) 144054) ((-142 . -627) 144013) ((-330 . -915) 143917) ((-1029 . -21) T) ((-996 . -25) T) ((-937 . -21) T) ((-937 . -25) T) ((-440 . -21) T) ((-440 . -25) T) ((-859 . -424) 143901) ((-48 . -1074) T) ((-1314 . -1306) 143885) ((-1312 . -1306) 143869) ((-1060 . -617) 143844) ((-327 . -627) 143705) ((-327 . -626) 143687) ((-324 . -627) NIL) ((-324 . -626) 143669) ((-48 . -249) T) ((-48 . -239) T) ((-670 . -297) 143630) ((-563 . -241) 143580) ((-584 . -868) T) ((-140 . -626) 143547) ((-137 . -626) 143529) ((-115 . -626) 143511) ((-490 . -38) 143476) ((-1316 . -1313) 143455) ((-1307 . -132) T) ((-1315 . -1083) T) ((-1107 . -102) T) ((-88 . -1242) T) ((-513 . -320) NIL) ((-1025 . -107) 143439) ((-908 . -1125) T) ((-904 . -1125) T) ((-1292 . -667) 143423) ((-1292 . -385) 143407) ((-338 . -1242) T) ((-606 . -865) T) ((-1167 . -1125) T) ((-1167 . -1078) 143347) ((-103 . -527) 143280) ((-950 . -626) 143262) ((-355 . -742) T) ((-30 . -626) 143244) ((-884 . -1125) T) ((-859 . -1083) 143223) ((-40 . -664) 143130) ((-228 . -1246) T) ((-420 . -1083) T) ((-1183 . -152) 143112) ((-1024 . -301) 143063) ((-892 . -1242) T) ((-630 . -1125) T) ((-228 . -569) T) ((-330 . -1273) 143047) ((-330 . -1270) 143017) ((-717 . -662) 142989) ((-1214 . -1218) 142968) ((-1100 . -626) 142950) ((-1214 . -107) 142900) ((-663 . -152) 142884) ((-645 . -152) 142830) ((-117 . -662) 142802) ((-492 . -1218) 142781) ((-500 . -148) T) ((-500 . -146) NIL) ((-1145 . -627) 142696) ((-451 . -626) 142678) ((-220 . -148) T) ((-220 . -146) NIL) ((-1145 . -626) 142660) ((-130 . -102) T) ((-52 . -102) T) ((-1256 . -654) 142612) ((-492 . -107) 142562) ((-1018 . -23) T) ((-1316 . -38) 142532) ((-1197 . -1137) T) ((-1150 . -1137) T) ((-1087 . -1246) T) ((-246 . -235) 142423) ((-322 . -102) T) ((-872 . -1137) T) ((-975 . -1246) 142402) ((-494 . -1246) 142381) ((-1087 . -569) T) ((-975 . -569) 142312) ((-1197 . -23) T) ((-1176 . -1108) T) ((-1150 . -23) T) ((-872 . -23) T) ((-494 . -569) 142243) ((-1167 . -733) 142175) ((-686 . -1076) 142159) ((-1171 . -527) 142092) ((-686 . -656) 142076) ((-1060 . -627) NIL) ((-1060 . -626) 142058) ((-96 . -1108) T) ((-1321 . -1081) 142045) ((-884 . -733) 142015) ((-1321 . -111) 142000) ((-1236 . -47) 141969) ((-1192 . -865) NIL) ((-259 . -132) T) ((-258 . -132) T) ((-1129 . -1125) T) ((-1028 . -1125) T) ((-62 . -626) 141951) ((-1105 . -915) 141820) ((-1049 . -808) T) ((-1049 . -811) T) ((-1284 . -25) T) ((-1284 . -21) T) ((-1277 . -21) T) ((-1277 . -25) T) ((-888 . -664) 141807) ((-1256 . -21) T) ((-1256 . -25) T) ((-1052 . -152) 141791) ((-1029 . -235) 141778) ((-890 . -836) 141757) ((-890 . -943) T) ((-728 . -297) 141684) ((-609 . -21) T) ((-351 . -662) 141643) ((-108 . -915) NIL) ((-609 . -25) T) ((-608 . -21) T) ((-176 . -662) 141560) ((-40 . -742) T) ((-225 . -527) 141493) ((-608 . -25) T) ((-489 . -152) 141477) ((-476 . -152) 141461) ((-185 . -1242) T) ((-944 . -810) T) ((-944 . -742) T) ((-787 . -809) T) ((-787 . -810) T) ((-519 . -1125) T) ((-515 . -1125) T) ((-787 . -742) T) ((-228 . -375) T) ((-1314 . -1076) 141445) ((-1312 . -1076) 141429) ((-1314 . -656) 141399) ((-1182 . -1125) 141377) ((-889 . -1246) T) ((-1312 . -656) 141347) ((-1113 . -868) T) ((-670 . -626) 141329) ((-889 . -569) T) ((-710 . -380) NIL) ((-44 . -1076) 141313) ((-1321 . -629) 141295) ((-1315 . -1125) T) ((-686 . -102) T) ((-371 . -1299) 141279) ((-365 . -1299) 141263) ((-44 . -656) 141247) ((-357 . -1299) 141231) ((-561 . -102) T) ((-1236 . -1242) T) ((-533 . -865) 141210) ((-727 . -1242) T) ((-981 . -868) 141189) ((-866 . -868) T) ((-500 . -238) T) ((-220 . -238) T) ((-1071 . -1125) T) ((-833 . -465) 141168) ((-153 . -1076) 141152) ((-1071 . -1096) 141081) ((-1052 . -1001) 141050) ((-835 . -1137) T) ((-1028 . -733) 140995) ((-153 . -656) 140979) ((-399 . -1137) T) ((-489 . -1001) 140948) ((-476 . -1001) 140917) ((-1208 . -868) T) ((-110 . -152) 140899) ((-73 . -626) 140881) ((-912 . -626) 140863) ((-1207 . -868) T) ((-1105 . -740) 140842) ((-1321 . -1074) T) ((-832 . -654) 140790) ((-305 . -1083) 140732) ((-171 . -1246) 140637) ((-228 . -1137) T) ((-335 . -23) T) ((-1192 . -1017) 140589) ((-1278 . -1081) 140494) ((-859 . -1125) T) ((-129 . -868) T) ((-1151 . -756) 140473) ((-1276 . -943) 140452) ((-1255 . -943) 140431) ((-888 . -742) T) ((-171 . -569) 140342) ((-593 . -664) 140329) ((-577 . -664) 140301) ((-420 . -1125) T) ((-271 . -1125) T) ((-215 . -626) 140283) ((-508 . -664) 140233) ((-228 . -23) T) ((-1255 . -836) 140186) ((-1314 . -102) T) ((-504 . -1242) T) ((-366 . -1311) 140163) ((-1312 . -102) T) ((-1278 . -111) 140055) ((-1138 . -915) 139922) ((-831 . -1076) 139823) ((-831 . -656) 139745) ((-145 . -626) 139727) ((-1018 . -132) T) ((-44 . -102) T) ((-246 . -865) 139678) ((-599 . -1242) T) ((-1265 . -1246) 139657) ((-103 . -502) 139641) ((-1315 . -733) 139611) ((-1112 . -47) 139572) ((-1087 . -1137) T) ((-975 . -1137) T) ((-128 . -34) T) ((-122 . -34) T) ((-1265 . -569) 139483) ((-798 . -47) 139460) ((-796 . -47) 139432) ((-1222 . -1242) T) ((-1197 . -132) T) ((-366 . -380) T) ((-494 . -1137) T) ((-1150 . -132) T) ((-889 . -375) T) ((-467 . -47) 139411) ((-872 . -132) T) ((-333 . -868) 139390) ((-153 . -102) T) ((-1087 . -23) T) ((-975 . -23) T) ((-584 . -569) T) ((-832 . -25) T) ((-832 . -21) T) ((-1167 . -527) 139323) ((-605 . -1108) T) ((-599 . -1063) 139307) ((-1278 . -629) 139181) ((-494 . -23) T) ((-363 . -1083) T) ((-391 . -868) T) ((-1236 . -921) 139162) ((-686 . -320) 139100) ((-1284 . -235) 139053) ((-1138 . -1299) 139023) ((-715 . -664) 138988) ((-1029 . -865) T) ((-1028 . -174) T) ((-986 . -146) 138967) ((-648 . -1125) T) ((-620 . -1125) T) ((-986 . -148) 138946) ((-751 . -148) 138925) ((-751 . -146) 138904) ((-674 . -1242) T) ((-996 . -865) T) ((-1277 . -235) 138850) ((-1256 . -235) 138667) ((-849 . -662) 138584) ((-487 . -943) 138563) ((-348 . -1242) T) ((-330 . -1076) 138398) ((-327 . -1081) 138308) ((-324 . -1081) 138237) ((-1024 . -297) 138195) ((-420 . -733) 138147) ((-330 . -656) 137988) ((-608 . -235) 137941) ((-717 . -864) T) ((-1278 . -1074) T) ((-327 . -111) 137837) ((-324 . -111) 137750) ((-97 . -1242) T) ((-987 . -102) T) ((-831 . -102) 137482) ((-728 . -627) NIL) ((-728 . -626) 137464) ((-1278 . -337) 137408) ((-674 . -1063) 137304) ((-1112 . -1242) T) ((-1060 . -299) 137279) ((-593 . -742) T) ((-577 . -810) T) ((-171 . -375) 137230) ((-577 . -807) T) ((-577 . -742) T) ((-508 . -742) T) ((-798 . -1242) T) ((-796 . -1242) T) ((-1171 . -502) 137214) ((-474 . -1242) T) ((-467 . -1242) T) ((-1314 . -1313) 137190) ((-1112 . -905) NIL) ((-889 . -1137) T) ((-118 . -932) NIL) ((-1312 . -1313) 137169) ((-665 . -1242) T) ((-798 . -905) NIL) ((-796 . -905) 137028) ((-1307 . -25) T) ((-1307 . -21) T) ((-1239 . -102) 137006) ((-1131 . -408) T) ((-636 . -664) 136993) ((-467 . -905) NIL) ((-691 . -102) 136943) ((-1112 . -1063) 136770) ((-889 . -23) T) ((-798 . -1063) 136629) ((-796 . -1063) 136486) ((-118 . -664) 136431) ((-467 . -1063) 136307) ((-285 . -1242) T) ((-327 . -629) 135871) ((-324 . -629) 135754) ((-50 . -1242) T) ((-403 . -662) 135723) ((-665 . -1063) 135707) ((-640 . -102) T) ((-594 . -1242) T) ((-531 . -1242) T) ((-225 . -502) 135691) ((-1292 . -34) T) ((-634 . -662) 135650) ((-300 . -1076) 135637) ((-137 . -629) 135621) ((-300 . -656) 135608) ((-648 . -733) 135592) ((-620 . -733) 135576) ((-686 . -38) 135536) ((-330 . -102) T) ((-1145 . -1081) 135523) ((-85 . -626) 135505) ((-50 . -1063) 135489) ((-1112 . -389) 135473) ((-798 . -389) 135457) ((-715 . -742) T) ((-715 . -810) T) ((-715 . -807) T) ((-60 . -57) 135419) ((-594 . -1063) 135406) ((-531 . -1063) 135383) ((-173 . -1242) T) ((-335 . -132) T) ((-327 . -1074) 135273) ((-324 . -1074) T) ((-171 . -1137) T) ((-796 . -389) 135257) ((-45 . -152) 135207) ((-1029 . -1017) 135189) ((-467 . -389) 135173) ((-420 . -174) T) ((-327 . -249) 135152) ((-324 . -249) T) ((-324 . -239) NIL) ((-305 . -1125) 134934) ((-228 . -132) T) ((-1145 . -111) 134919) ((-171 . -23) T) ((-815 . -148) 134898) ((-815 . -146) 134877) ((-259 . -654) 134783) ((-258 . -654) 134689) ((-330 . -295) 134655) ((-1182 . -527) 134588) ((-490 . -662) 134538) ((-651 . -860) T) ((-495 . -915) 134405) ((-1158 . -1125) T) ((-228 . -1085) T) ((-831 . -320) 134343) ((-1112 . -921) 134278) ((-798 . -921) 134221) ((-796 . -921) 134205) ((-1314 . -38) 134175) ((-1312 . -38) 134145) ((-1265 . -1137) T) ((-873 . -1137) T) ((-467 . -921) 134122) ((-876 . -1125) T) ((-1265 . -23) T) ((-1145 . -629) 134094) ((-1087 . -132) T) ((-873 . -23) T) ((-584 . -1137) T) ((-636 . -742) T) ((-523 . -868) T) ((-367 . -943) T) ((-364 . -943) T) ((-300 . -102) T) ((-356 . -943) T) ((-995 . -1108) T) ((-975 . -132) T) ((-832 . -235) 134039) ((-118 . -810) NIL) ((-118 . -807) NIL) ((-118 . -742) T) ((-1071 . -527) 133940) ((-710 . -932) NIL) ((-584 . -23) T) ((-494 . -132) T) ((-431 . -238) 133891) ((-691 . -320) 133829) ((-226 . -1242) T) ((-651 . -1125) T) ((-648 . -777) T) ((-620 . -777) T) ((-1256 . -865) NIL) ((-1105 . -1076) 133739) ((-1028 . -301) T) ((-710 . -664) 133689) ((-259 . -25) T) ((-363 . -1125) T) ((-259 . -21) T) ((-258 . -25) T) ((-258 . -21) T) ((-153 . -38) 133673) ((-2 . -102) T) ((-933 . -943) T) ((-1105 . -656) 133541) ((-495 . -1299) 133511) ((-1145 . -1074) T) ((-727 . -318) T) ((-717 . -1083) T) ((-371 . -1076) 133463) ((-365 . -1076) 133415) ((-357 . -1076) 133367) ((-371 . -656) 133319) ((-226 . -1063) 133296) ((-365 . -656) 133248) ((-108 . -1076) 133198) ((-357 . -656) 133150) ((-305 . -733) 133092) ((-655 . -1242) T) ((-500 . -465) T) ((-420 . -527) 133004) ((-108 . -656) 132954) ((-220 . -465) T) ((-1145 . -239) T) ((-306 . -152) 132904) ((-1024 . -627) 132865) ((-1024 . -626) 132847) ((-1014 . -626) 132829) ((-117 . -1083) T) ((-670 . -1081) 132813) ((-228 . -506) T) ((-412 . -626) 132795) ((-412 . -627) 132772) ((-1079 . -1299) 132742) ((-670 . -111) 132721) ((-686 . -923) 132644) ((-1167 . -502) 132628) ((-1316 . -662) 132587) ((-393 . -662) 132556) ((-63 . -454) T) ((-63 . -408) T) ((-1184 . -102) T) ((-889 . -132) T) ((-497 . -102) 132506) ((-1143 . -1242) T) ((-1248 . -868) T) ((-1321 . -380) T) ((-1105 . -102) T) ((-1086 . -102) T) ((-363 . -733) 132451) ((-890 . -868) 132402) ((-747 . -148) 132381) ((-747 . -146) 132360) ((-670 . -629) 132278) ((-1049 . -664) 132215) ((-536 . -1125) 132193) ((-371 . -102) T) ((-365 . -102) T) ((-357 . -102) T) ((-108 . -102) T) ((-517 . -1125) T) ((-366 . -664) 132138) ((-1197 . -654) 132086) ((-1150 . -654) 132034) ((-397 . -522) 132013) ((-849 . -864) 131992) ((-710 . -742) T) ((-391 . -1246) T) ((-344 . -1242) T) ((-1256 . -1017) 131944) ((-351 . -1083) T) ((-112 . -1242) T) ((-176 . -1083) T) ((-103 . -626) 131876) ((-1199 . -146) 131855) ((-1199 . -148) 131834) ((-391 . -569) T) ((-1198 . -148) 131813) ((-1198 . -146) 131792) ((-1192 . -146) 131699) ((-420 . -301) T) ((-1192 . -148) 131606) ((-1151 . -148) 131585) ((-1151 . -146) 131564) ((-330 . -38) 131405) ((-171 . -132) T) ((-324 . -811) NIL) ((-324 . -808) NIL) ((-670 . -1074) T) ((-48 . -664) 131355) ((-1138 . -1076) 131256) ((-912 . -629) 131233) ((-1138 . -656) 131155) ((-1191 . -102) T) ((-1019 . -102) T) ((-1018 . -21) T) ((-128 . -1035) 131139) ((-122 . -1035) 131123) ((-1018 . -25) T) ((-924 . -120) 131107) ((-1183 . -102) T) ((-1265 . -132) T) ((-1255 . -868) 131006) ((-1197 . -25) T) ((-1197 . -21) T) ((-1184 . -320) 130801) ((-355 . -1242) T) ((-1150 . -25) T) ((-873 . -132) T) ((-407 . -1242) T) ((-1150 . -21) T) ((-872 . -25) T) ((-872 . -21) T) ((-798 . -318) 130780) ((-1182 . -502) 130764) ((-1175 . -152) 130714) ((-1171 . -626) 130676) ((-663 . -102) 130626) ((-645 . -102) T) ((-1171 . -627) 130587) ((-584 . -132) T) ((-634 . -864) 130566) ((-1049 . -807) T) ((-1049 . -810) T) ((-1049 . -742) T) ((-831 . -923) 130435) ((-728 . -1081) 130258) ((-615 . -868) 130237) ((-497 . -320) 130175) ((-466 . -430) 130145) ((-363 . -174) T) ((-300 . -38) 130132) ((-259 . -235) 130023) ((-258 . -235) 129914) ((-284 . -102) T) ((-283 . -102) T) ((-282 . -102) T) ((-281 . -102) T) ((-280 . -102) T) ((-279 . -102) T) ((-355 . -1063) 129891) ((-278 . -102) T) ((-214 . -102) T) ((-213 . -102) T) ((-211 . -102) T) ((-210 . -102) T) ((-209 . -102) T) ((-208 . -102) T) ((-205 . -102) T) ((-204 . -102) T) ((-203 . -102) T) ((-202 . -102) T) ((-201 . -102) T) ((-200 . -102) T) ((-199 . -102) T) ((-198 . -102) T) ((-197 . -102) T) ((-196 . -102) T) ((-195 . -102) T) ((-728 . -111) 129700) ((-366 . -742) T) ((-686 . -273) 129684) ((-686 . -233) 129668) ((-594 . -318) T) ((-531 . -318) T) ((-305 . -527) 129617) ((-1189 . -1242) T) ((-108 . -320) NIL) ((-72 . -408) T) ((-1138 . -102) 129349) ((-849 . -424) 129333) ((-1145 . -811) T) ((-1145 . -808) T) ((-717 . -1125) T) ((-591 . -626) 129315) ((-391 . -375) T) ((-171 . -506) 129293) ((-225 . -626) 129225) ((-135 . -1125) T) ((-117 . -1125) T) ((-989 . -1242) T) ((-48 . -742) T) ((-1071 . -502) 129190) ((-142 . -438) 129172) ((-142 . -380) T) ((-1052 . -102) T) ((-525 . -522) 129151) ((-728 . -629) 128907) ((-1249 . -626) 128889) ((-1206 . -1242) T) ((-1206 . -1063) 128825) ((-1199 . -238) 128784) ((-489 . -102) T) ((-476 . -102) T) ((-1198 . -238) 128736) ((-1192 . -238) 128559) ((-1059 . -1137) T) ((-330 . -923) 128465) ((-1201 . -868) T) ((-1199 . -35) 128431) ((-1199 . -95) 128397) ((-1199 . -1230) 128363) ((-1199 . -1227) 128329) ((-1198 . -1227) 128295) ((-1198 . -1230) 128261) ((-1198 . -95) 128227) ((-1198 . -35) 128193) ((-1192 . -1227) 128159) ((-1192 . -1230) 128125) ((-1183 . -320) NIL) ((-89 . -409) T) ((-89 . -408) T) ((-1105 . -1177) 128104) ((-40 . -1242) T) ((-1192 . -95) 128070) ((-1059 . -23) T) ((-1192 . -35) 128036) ((-584 . -506) T) ((-1151 . -35) 128002) ((-1151 . -95) 127968) ((-1151 . -1230) 127934) ((-1151 . -1227) 127900) ((-373 . -1137) T) ((-371 . -1177) 127879) ((-365 . -1177) 127858) ((-357 . -1177) 127837) ((-1129 . -297) 127793) ((-977 . -1242) T) ((-944 . -1242) T) ((-108 . -1177) T) ((-849 . -1083) 127772) ((-787 . -1242) T) ((-663 . -320) 127710) ((-645 . -320) 127561) ((-688 . -1242) T) ((-728 . -1074) T) ((-1087 . -654) 127543) ((-1105 . -38) 127411) ((-975 . -654) 127359) ((-1029 . -148) T) ((-1029 . -146) NIL) ((-391 . -1137) T) ((-335 . -25) T) ((-333 . -23) T) ((-966 . -865) 127338) ((-728 . -337) 127315) ((-494 . -654) 127263) ((-40 . -1063) 127151) ((-728 . -239) T) ((-717 . -733) 127138) ((-351 . -1125) T) ((-176 . -1125) T) ((-342 . -865) T) ((-431 . -465) 127088) ((-391 . -23) T) ((-371 . -38) 127053) ((-365 . -38) 127018) ((-357 . -38) 126983) ((-80 . -454) T) ((-80 . -408) T) 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104335) ((-1151 . -295) 104301) ((-1145 . -905) 104283) ((-1105 . -1125) T) ((-1086 . -1125) T) ((-48 . -313) T) ((-327 . -921) 104249) ((-324 . -921) NIL) ((-1086 . -1093) 104228) ((-815 . -38) 104212) ((-274 . -654) 104160) ((-112 . -868) T) ((-254 . -654) 104108) ((-717 . -1081) 104095) ((-608 . -1270) 104072) ((-1145 . -1063) 104054) ((-330 . -174) 103985) ((-371 . -1125) T) ((-365 . -1125) T) ((-357 . -1125) T) ((-513 . -19) 103967) ((-1127 . -152) 103951) ((-889 . -238) NIL) ((-108 . -1125) T) ((-117 . -1081) 103938) ((-727 . -375) T) ((-513 . -617) 103913) ((-717 . -111) 103898) ((-1317 . -626) 103865) ((-1317 . -503) 103847) ((-1276 . -235) 103793) ((-1255 . -235) 103646) ((-449 . -102) T) ((-894 . -1287) T) ((-257 . -102) T) ((-45 . -1174) 103596) ((-117 . -111) 103581) ((-1294 . -626) 103563) ((-1265 . -238) T) ((-1250 . -626) 103545) ((-1248 . -865) T) ((-648 . -736) T) ((-620 . -736) T) ((-1236 . -1137) T) ((-1236 . -23) T) ((-1197 . -465) 103476) ((-1192 . -320) 103361) 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T) ((-1071 . -34) T) ((-852 . -148) 95569) ((-852 . -146) 95548) ((-753 . -107) 95532) ((-625 . -133) T) ((-1203 . -1083) T) ((-495 . -1125) 95284) ((-1199 . -923) 95197) ((-1198 . -923) 95103) ((-1192 . -923) 94864) ((-889 . -465) T) ((-85 . -1242) T) ((-142 . -107) 94846) ((-1151 . -923) 94830) ((-728 . -389) 94814) ((-849 . -629) 94682) ((-1315 . -742) T) ((-1304 . -1083) T) ((-1284 . -102) T) ((-1277 . -102) T) ((-1145 . -558) T) ((-592 . -102) T) ((-130 . -503) 94664) ((-1197 . -972) 94633) ((-403 . -1081) 94617) ((-1150 . -972) 94584) ((-44 . -297) 94561) ((-130 . -626) 94528) ((-52 . -626) 94510) ((-217 . -868) T) ((-669 . -424) 94494) ((-1256 . -102) T) ((-1183 . -527) NIL) ((-678 . -25) T) ((-634 . -1081) 94478) ((-678 . -21) T) ((-986 . -662) 94388) ((-751 . -662) 94333) ((-731 . -662) 94305) ((-403 . -111) 94284) ((-225 . -262) 94268) ((-1079 . -1078) 94208) ((-1079 . -1125) T) ((-1029 . -1177) T) ((-834 . -1125) T) ((-466 . -662) 94123) ((-648 . -664) 94107) ((-634 . -111) 94086) ((-620 . -664) 94070) ((-355 . -1246) T) ((-609 . -102) T) ((-322 . -503) 94051) ((-599 . -132) T) ((-608 . -102) T) ((-427 . -1125) T) ((-397 . -1125) T) ((-322 . -626) 94017) ((-230 . -1125) 93995) ((-663 . -527) 93928) ((-645 . -527) 93772) ((-849 . -1074) 93751) ((-660 . -152) 93735) ((-355 . -569) T) ((-728 . -921) 93678) ((-563 . -232) 93628) ((-1284 . -295) 93594) ((-1277 . -295) 93560) ((-1105 . -301) 93511) ((-577 . -868) T) ((-500 . -864) T) ((-226 . -1137) T) ((-1256 . -295) 93477) ((-1236 . -506) 93443) ((-1029 . -38) 93393) ((-220 . -864) T) ((-431 . -662) 93352) ((-937 . -38) 93304) ((-859 . -810) 93283) ((-859 . -807) 93262) ((-859 . -742) 93241) ((-371 . -301) T) ((-365 . -301) T) ((-357 . -301) T) ((-171 . -465) 93172) ((-440 . -38) 93156) ((-226 . -23) T) ((-108 . -301) T) ((-420 . -810) 93135) ((-420 . -807) 93114) ((-420 . -742) T) ((-513 . -299) 93089) ((-490 . -1081) 93054) ((-674 . -132) T) ((-634 . -629) 93023) ((-1138 . -527) 92956) ((-348 . -132) T) 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. -626) 90390) ((-110 . -527) NIL) ((-1197 . -1268) 90374) ((-872 . -870) 90358) ((-1203 . -1125) T) ((-103 . -1242) T) ((-975 . -972) 90319) ((-833 . -733) 90261) ((-1256 . -1177) NIL) ((-494 . -972) 90206) ((-1087 . -144) T) ((-60 . -102) 90156) ((-44 . -626) 90138) ((-78 . -626) 90120) ((-363 . -664) 90065) ((-1304 . -1125) T) ((-524 . -865) T) ((-300 . -297) 90044) ((-355 . -1137) T) ((-306 . -1125) T) ((-1024 . -921) 90003) ((-306 . -623) 89982) ((-1316 . -629) 89931) ((-1284 . -38) 89828) ((-1277 . -38) 89669) ((-1256 . -38) 89465) ((-500 . -1083) T) ((-393 . -629) 89449) ((-220 . -1083) T) ((-355 . -23) T) ((-153 . -626) 89431) ((-849 . -811) 89410) ((-849 . -808) 89389) ((-1241 . -629) 89370) ((-609 . -38) 89343) ((-608 . -38) 89240) ((-888 . -569) T) ((-226 . -132) T) ((-330 . -1027) 89206) ((-79 . -626) 89188) ((-728 . -318) 89167) ((-305 . -742) 89069) ((-840 . -102) T) ((-882 . -860) T) ((-305 . -486) 89048) ((-1307 . -102) T) ((-40 . -375) T) ((-890 . -148) 89027) ((-498 . -662) 89009) ((-890 . -146) 88988) ((-1183 . -502) 88970) ((-1316 . -1074) T) ((-495 . -527) 88903) ((-655 . -132) T) ((-1171 . -1242) T) ((-987 . -626) 88885) ((-663 . -502) 88869) ((-645 . -502) 88800) ((-831 . -626) 88493) ((-48 . -27) T) ((-1203 . -733) 88390) ((-975 . -915) 88369) ((-669 . -1125) T) ((-879 . -878) T) ((-449 . -376) 88343) ((-747 . -662) 88253) ((-494 . -915) 88228) ((-1127 . -102) T) ((-995 . -1125) T) ((-882 . -1125) T) ((-832 . -320) 88215) ((-546 . -540) T) ((-546 . -589) T) ((-1312 . -394) 88187) ((-710 . -868) T) ((-1079 . -527) 88120) ((-1184 . -297) 88096) ((-246 . -273) 88065) ((-246 . -233) 88034) ((-259 . -1076) 87935) ((-258 . -1076) 87836) ((-1304 . -733) 87806) ((-1191 . -93) T) ((-1019 . -93) T) ((-833 . -174) 87785) ((-259 . -656) 87707) ((-258 . -656) 87629) ((-1239 . -503) 87606) ((-591 . -1242) T) ((-230 . -527) 87539) ((-634 . -811) 87518) ((-634 . -808) 87497) ((-1239 . -626) 87409) ((-225 . -1242) T) ((-691 . -626) 87341) ((-1199 . -662) 87251) ((-1182 . -1035) 87235) ((-966 . -102) 87165) ((-363 . -742) T) ((-879 . -626) 87147) ((-1198 . -662) 87029) ((-1192 . -662) 86866) ((-1151 . -662) 86776) ((-1256 . -413) 86728) ((-1138 . -502) 86712) ((-60 . -320) 86650) ((-342 . -102) T) ((-1236 . -21) T) ((-1236 . -25) T) ((-40 . -1137) T) ((-727 . -21) T) ((-640 . -626) 86632) ((-528 . -334) 86611) ((-727 . -25) T) ((-452 . -102) T) ((-108 . -297) NIL) ((-944 . -1137) T) ((-40 . -23) T) ((-787 . -1137) T) ((-577 . -1246) T) ((-508 . -1246) T) ((-1029 . -273) 86593) ((-330 . -626) 86575) ((-1029 . -233) 86557) ((-171 . -167) 86541) ((-593 . -569) T) ((-577 . -569) T) ((-508 . -569) T) ((-787 . -23) T) ((-1276 . -148) 86520) ((-1276 . -146) 86499) ((-1184 . -617) 86475) ((-1255 . -146) 86400) ((-1052 . -502) 86384) ((-1249 . -1242) T) ((-1255 . -148) 86309) ((-1307 . -1313) 86288) ((-889 . -915) NIL) ((-489 . -502) 86272) ((-476 . -502) 86256) ((-536 . -34) T) ((-669 . -733) 86226) ((-1284 . -923) 86139) ((-1277 . -923) 86045) 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. -629) 80872) ((-1314 . -1074) T) ((-1312 . -629) 80801) ((-1312 . -1074) T) ((-1265 . -1268) 80785) ((-873 . -870) 80769) ((-1203 . -301) 80748) ((-1129 . -1242) T) ((-110 . -297) 80698) ((-1028 . -1242) T) ((-129 . -152) 80680) ((-1167 . -921) 80639) ((-44 . -111) 80618) ((-1247 . -1125) T) ((-1206 . -1287) T) ((-1192 . -864) NIL) ((-1191 . -503) 80599) ((-686 . -1074) T) ((-1191 . -626) 80565) ((-1183 . -626) 80547) ((-487 . -238) 80499) ((-1088 . -623) 80474) ((-1019 . -503) 80455) ((-74 . -454) T) ((-74 . -408) T) ((-1088 . -1125) T) ((-153 . -1081) 80439) ((-1019 . -626) 80405) ((-686 . -239) 80384) ((-584 . -567) 80368) ((-367 . -148) 80347) ((-367 . -146) 80298) ((-364 . -148) 80277) ((-364 . -146) 80228) ((-356 . -148) 80207) ((-356 . -146) 80158) ((-274 . -146) 80137) ((-274 . -148) 80116) ((-254 . -148) 80095) ((-118 . -375) T) ((-254 . -146) 80074) ((-1183 . -627) NIL) ((-153 . -111) 80053) ((-1028 . -1063) 79941) ((-1182 . -1242) T) ((-710 . -1246) T) ((-815 . -1083) T) 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-295) T) ((-1239 . -629) 75556) ((-48 . -1246) T) ((-1197 . -1177) 75534) ((-1184 . -299) 75510) ((-1087 . -102) T) ((-975 . -102) T) ((-831 . -1074) 75488) ((-593 . -132) T) ((-577 . -132) T) ((-508 . -132) T) ((-367 . -238) 75467) ((-364 . -238) 75446) ((-356 . -238) 75425) ((-48 . -569) T) ((-889 . -1076) 75370) ((-274 . -238) 75321) ((-831 . -239) 75273) ((-327 . -27) 75252) ((-259 . -923) 75121) ((-258 . -923) 74990) ((-256 . -851) 74972) ((-189 . -851) 74954) ((-729 . -102) T) ((-306 . -502) 74891) ((-889 . -656) 74836) ((-494 . -102) T) ((-747 . -1083) T) ((-625 . -626) 74818) ((-625 . -627) 74679) ((-420 . -389) 74663) ((-420 . -350) 74647) ((-1197 . -38) 74476) ((-1150 . -38) 74325) ((-330 . -629) 74151) ((-933 . -238) T) ((-648 . -1242) T) ((-620 . -1242) T) ((-872 . -38) 74121) ((-403 . -664) 74105) ((-660 . -320) 74043) ((-1176 . -503) 74024) ((-1176 . -626) 73990) ((-986 . -733) 73887) ((-751 . -733) 73857) ((-634 . -664) 73831) ((-225 . -107) 73815) ((-45 . -297) 73715) 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. -102) T) ((-660 . -293) 72749) ((-715 . -1085) T) ((-1303 . -102) T) ((-1302 . -102) T) ((-490 . -664) 72714) ((-481 . -1125) T) ((-45 . -617) 72639) ((-1183 . -299) 72614) ((-300 . -629) 72586) ((-40 . -654) 72525) ((-1265 . -1076) 72348) ((-873 . -1076) 72332) ((-48 . -375) T) ((-1131 . -626) 72314) ((-1265 . -656) 72143) ((-873 . -656) 72113) ((-645 . -299) 72088) ((-832 . -662) 71998) ((-584 . -1076) 71985) ((-495 . -626) 71678) ((-246 . -424) 71647) ((-1197 . -923) 71554) ((-1190 . -1125) T) ((-975 . -320) 71541) ((-584 . -656) 71528) ((-65 . -1242) T) ((-1158 . -1242) T) ((-1150 . -923) 71512) ((-1138 . -299) 71489) ((-1088 . -527) 71333) ((-687 . -1125) T) ((-636 . -132) T) ((-619 . -1125) T) ((-494 . -320) 71320) ((-559 . -102) T) ((-118 . -132) T) ((-300 . -1074) T) ((-182 . -1125) T) ((-162 . -1125) T) ((-157 . -1125) T) ((-155 . -1125) T) ((-466 . -777) T) ((-31 . -1108) T) ((-986 . -174) 71271) ((-1127 . -232) 71255) ((-995 . -93) T) ((-1105 . -1081) 71165) ((-1079 . 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T) ((-944 . -25) T) ((-787 . -25) T) ((-1316 . -664) 70109) ((-1175 . -502) 70046) ((-498 . -1125) T) ((-1307 . -662) 70005) ((-1265 . -102) T) ((-1087 . -1177) T) ((-873 . -102) T) ((-246 . -1083) 69983) ((-987 . -808) 69936) ((-987 . -811) 69889) ((-393 . -664) 69873) ((-48 . -23) T) ((-831 . -811) 69852) ((-831 . -808) 69831) ((-561 . -380) T) ((-306 . -617) 69810) ((-490 . -742) T) ((-584 . -102) T) ((-1105 . -629) 69628) ((-256 . -187) T) ((-189 . -187) T) ((-889 . -320) 69585) ((-669 . -297) 69564) ((-651 . -1242) T) ((-112 . -677) T) ((-363 . -1242) T) ((-371 . -629) 69501) ((-365 . -629) 69438) ((-357 . -629) 69375) ((-76 . -1242) T) ((-108 . -629) 69325) ((-112 . -113) T) ((-1087 . -38) 69312) ((-680 . -386) 69291) ((-975 . -38) 69140) ((-747 . -1125) T) ((-494 . -38) 68989) ((-86 . -1242) T) ((-605 . -503) 68970) ((-1256 . -864) NIL) ((-1199 . -1125) T) ((-584 . -295) T) ((-1198 . -1125) T) ((-605 . -626) 68936) ((-1192 . -1125) T) ((-1145 . -868) T) ((-1105 . -1074) T) 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T) ((-134 . -1108) T) ((-849 . -1242) T) ((-833 . -239) T) ((-833 . -249) 56462) ((-1265 . -233) 56446) ((-1256 . -733) 56242) ((-1024 . -868) 56221) ((-1247 . -626) 56203) ((-563 . -297) 56182) ((-1088 . -627) NIL) ((-1088 . -626) 56164) ((-619 . -93) T) ((-687 . -93) T) ((0 . -1242) T) ((-49 . -1242) T) ((-182 . -93) T) ((-162 . -93) T) ((-157 . -93) T) ((-155 . -93) T) ((-217 . -865) T) ((-1028 . -943) T) ((-1203 . -629) 56017) ((-153 . -742) T) ((-1138 . -380) 55996) ((-653 . -102) T) ((-1049 . -25) T) ((-1029 . -527) NIL) ((-259 . -424) 55965) ((-258 . -424) 55934) ((-1049 . -21) T) ((-890 . -1076) 55886) ((-609 . -733) 55859) ((-608 . -733) 55756) ((-815 . -297) 55714) ((-127 . -102) 55664) ((-849 . -1063) 55560) ((-171 . -844) 55539) ((-330 . -664) 55436) ((-831 . -34) T) ((-730 . -102) T) ((-1145 . -1137) T) ((-1051 . -1242) T) ((-890 . -656) 55388) ((-391 . -38) 55353) ((-366 . -25) T) ((-366 . -21) T) ((-189 . -102) T) ((-163 . -102) T) ((-256 . -102) T) ((-158 . -102) T) 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. -1125) T) ((-1160 . -626) 54383) ((-259 . -1083) 54361) ((-258 . -1083) 54339) ((-854 . -102) T) ((-300 . -664) 54326) ((-606 . -297) 54276) ((-705 . -703) 54234) ((-1317 . -1242) T) ((-1292 . -865) 54213) ((-986 . -626) 54195) ((-890 . -102) T) ((-751 . -626) 54177) ((-731 . -626) 54159) ((-1284 . -174) 54110) ((-1277 . -174) 54041) ((-1256 . -174) 53972) ((-715 . -865) T) ((-1029 . -301) T) ((-466 . -626) 53954) ((-640 . -742) T) ((-60 . -1125) 53932) ((-251 . -152) 53916) ((-1276 . -656) 53757) ((-937 . -301) T) ((-1049 . -1037) T) ((-640 . -486) T) ((-728 . -1246) 53736) ((-710 . -235) NIL) ((-669 . -629) 53654) ((-171 . -662) 53549) ((-1276 . -1076) 53384) ((-609 . -174) 53363) ((-608 . -174) 53314) ((-1255 . -656) 53128) ((-1255 . -1076) 52936) ((-1250 . -1242) T) ((-728 . -569) 52847) ((-420 . -836) 52826) ((-420 . -943) T) ((-330 . -810) T) ((-490 . -1242) T) ((-995 . -629) 52807) ((-330 . -742) T) ((-660 . -1174) 52791) ((-431 . -626) 52773) ((-431 . -627) 52680) ((-110 . 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. -249) T) ((-815 . -380) 28819) ((-727 . -102) T) ((-717 . -868) T) ((-663 . -1242) T) ((-645 . -1242) T) ((-621 . -1125) T) ((-621 . -623) 28795) ((-599 . -1076) 28770) ((-494 . -301) 28701) ((-584 . -174) T) ((-338 . -293) 28685) ((-366 . -238) T) ((-599 . -656) 28660) ((-367 . -361) 28639) ((-364 . -361) 28618) ((-356 . -361) 28597) ((-214 . -1242) T) ((-83 . -626) 28579) ((-213 . -1242) T) ((-211 . -1242) T) ((-210 . -1242) T) ((-209 . -1242) T) ((-208 . -1242) T) ((-205 . -1242) T) ((-204 . -1242) T) ((-203 . -1242) T) ((-202 . -1242) T) ((-488 . -1125) T) ((-201 . -1242) T) ((-274 . -261) 28541) ((-200 . -1242) T) ((-199 . -1242) T) ((-198 . -1242) T) ((-197 . -1242) T) ((-196 . -1242) T) ((-488 . -623) 28520) ((-195 . -1242) T) ((-284 . -1242) T) ((-283 . -1242) T) ((-282 . -1242) T) ((-281 . -1242) T) ((-492 . -232) 28470) ((-280 . -1242) T) ((-279 . -1242) T) ((-278 . -1242) T) ((-440 . -1074) T) ((-884 . -132) T) ((-859 . -1137) 28449) ((-48 . -238) T) ((-715 . -465) T) 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((-584 . -1081) 690) ((-1265 . -111) 499) ((-717 . -654) 481) ((-873 . -111) 460) ((-393 . -23) T) ((-171 . -629) 238) ((-1214 . -527) 30) ((-894 . -1125) T) ((-697 . -1125) T) ((-692 . -1125) T) ((-678 . -1125) T))
\ No newline at end of file diff --git a/src/share/algebra/compress.daase b/src/share/algebra/compress.daase index 29ebf8a4..d4407493 100644 --- a/src/share/algebra/compress.daase +++ b/src/share/algebra/compress.daase @@ -1,5 +1,5 @@ -(30 . 3487831420) +(30 . 3487980639) (4473 |Enumeration| |Mapping| |Record| |Union| |ofCategory| |isDomain| ATTRIBUTE |package| |domain| |category| CATEGORY |nobranch| AND |Join| |ofType| SIGNATURE "failed" "algebra" |OneDimensionalArrayAggregate&| @@ -488,668 +488,666 @@ |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |YoungDiagram| |ParadoxicalCombinatorsForStreams| |ZeroDimensionalSolvePackage| |IntegerLinearDependence| |IntegerMod| |Enumeration| |Mapping| - |Record| |Union| |scalarTypeOf| |shuffle| |c02agf| |contours| - |characteristicSet| |operators| |expextendedint| |linearPolynomials| - |slex| |fortranCarriageReturn| |shufflein| |c05adf| - |structuralConstants| |medialSet| |mainKernel| |primlimitedint| - |bivariate?| |inverse| |fortranLiteral| |sequences| |c05nbf| - |coordinates| |Hausdorff| |distribute| |explimitedint| - |bivariatePolynomials| |maxrow| |fortranLiteralLine| |lambda| - |permutations| |c05pbf| |bounds| |Frobenius| - |functionIsFracPolynomial?| |primextintfrac| - |removeRoughlyRedundantFactorsInPols| |tableau| |processTemplate| - |makeResult| |numer| |c06eaf| |high| |transcendenceDegree| - |primlimintfrac| |removeRoughlyRedundantFactorsInPol| |listOfLists| - |makeFR| |is?| |denom| |c06ebf| |low| |extensionDegree| - |insertBottom!| |primintfldpoly| |interReduce| |tanSum| |cn| - |musserTrials| |Is| |c06ecf| |subset?| |inGroundField?| |insertTop!| - |expintfldpoly| |roughBasicSet| |tanAn| |alphabetic| - |stopMusserTrials| |addMatchRestricted| |pi| |c06ekf| - |symmetricDifference| |transcendent?| |bottom!| |monomialIntegrate| - |crushedSet| |tanNa| |lhs| |hexDigit| |c06fpf| |difference| - |algebraic?| |top!| |monomialIntPoly| |tree| - |rewriteSetByReducingWithParticularGenerators| |initTable!| - |rightCharacteristicPolynomial| |OMUnknownSymbol?| |rhs| |c06fqf| - |intersect| |sh| |dequeue| |inverseLaplace| - |rewriteIdealWithQuasiMonicGenerators| Y |printInfo!| - |leftCharacteristicPolynomial| |OMUnknownCD?| |c06frf| |part?| - |mirror| |recolor| |inputOutputBinaryFile| |rank| |squareFreeFactors| - |startStats!| |rightNorm| |OMParseError?| |width| |c06fuf| |latex| - |monomial?| |drawComplex| |double| |printStats!| |leftNorm| |OMwrite| - |c06gbf| |member?| |rquo| |drawComplexVectorField| |expPot| - |sturmVariationsOf| |clearTable!| |rightTrace| |po| |c06gcf| - |enumerate| |lquo| |setRealSteps| |qPot| |lazyVariations| - |usingTable?| |leftTrace| |OMread| |c06gqf| |setOfMinN| |mindegTerm| - |setImagSteps| |lookup| |content| |printingInfo?| |someBasis| - |OMreadFile| |table| |product| |setClipValue| |normal?| |totalDegree| - |obj| |makingStats?| |sort!| |OMreadStr| |curry| |rectangularMatrix| - |new| |LiePolyIfCan| |option?| |basis| |minimumDegree| |cache| - |extractIfCan| |copyInto!| |OMlistCDs| |diag| |characteristic| |trunc| - |range| |normalElement| |monomials| |lists| |insert!| |sorted?| - |OMlistSymbols| |optional| |curryRight| |round| |degree| - |colorFunction| |search| |minimalPolynomial| |isPlus| |LiePoly| - |OMsupportsCD?| |curryLeft| |fractionPart| |quasiRegular| |curveColor| - |position!| |isTimes| |numericIfCan| |generalInfiniteProduct| - |quickSort| |OMsupportsSymbol?| |options| |constantRight| |wholePart| - |quasiRegular?| |pointColor| |eof?| |isExpt| |complexNumericIfCan| - |showAll?| |heapSort| |OMunhandledSymbol| |constantLeft| |floor| - |constant?| |clip| |inputBinaryFile| |precision| |isPower| - |FormatArabic| |showAllElements| |shellSort| |OMreceive| |twist| - |ceiling| |clipBoolean| |increment| |ScanArabic| |rroot| |init| - |delay| |outputSpacing| |OMsend| |string| |setsubMatrix!| |norm| - |integrate| |zero| |style| |charpol| |qroot| |FormatRoman| |findCycle| - |outputGeneral| |OMserve| |rule| |subMatrix| |mightHaveRoots| - |multiplyCoefficients| |toScale| |solve1| |froot| |ScanRoman| - |repeating?| |outputFixed| |swapColumns!| |makeop| |refine| |And| - |quoByVar| |left| |pointColorPalette| |innerEigenvectors| |nthr| - |ScanFloatIgnoreSpaces| |repeating| |outputFloating| |swapRows!| - |opeval| |middle| |Or| |coefficients| |right| |curveColorPalette| - |parseString| |firstUncouplingMatrix| |close| - |ScanFloatIgnoreSpacesIfCan| |recip| |exp1| |evaluateInverse| - |vertConcat| |roman| |Not| |stFunc1| |var1Steps| |unparse| |integral| - |numericalIntegration| |integers| |log2| |horizConcat| |evaluate| - |recoverAfterFail| |sort| |stFunc2| |var2Steps| |binary| - |primitiveElement| |display| |rk4| |oddintegers| - |rationalApproximation| |conjug| |squareTop| |showTheRoutinesTable| - |stFuncN| |space| |packageCall| |nextPrime| |rk4a| |mapmult| - |relerror| |adjoint| |elRow1!| |deleteRoutine!| |fixedPointExquo| - |tubePoints| |innerSolve1| |prevPrime| |rk4qc| |deriv| |complexSolve| - |arity| |elRow2!| |getExplanations| |ode1| |getButtonValue| - |tubeRadius| |innerSolve| |primes| |rk4f| |gderiv| |complexRoots| - |elColumn2!| |getDatabase| |getMeasure| |random| |ode2| |decrease| - |weight| |makeEq| |selectsecond| |aromberg| |compose| |realRoots| - |numericalOptimization| |fractionFreeGauss!| |changeMeasure| |ode| - |makeVariable| |modularGcdPrimitive| |input| |selectfirst| |asimpson| - |addiag| |leadingTerm| |goodnessOfFit| |invertIfCan| - |changeThreshhold| |mpsode| |any| |finiteBound| |modularGcd| |library| - |makeprod| |atrapezoidal| |lazyIntegrate| |position| |overlap| - |whatInfinity| |copy!| |selectMultiDimensionalRoutines| UP2UTS - |sortConstraints| |reduction| |property| |romberg| |nlde| |hcrf| - |infinite?| |plus!| |selectNonFiniteRoutines| |symbol| UTS2UP - |showSummary| |sumOfSquares| |signAround| |disjunction| |simpson| - |powern| |hclf| |finite?| |minus!| |selectSumOfSquaresRoutines| - |expression| LODO2FUN |increase| |splitLinear| |optimize| |invmod| - |conjunction| |trapezoidal| |mapdiv| |writable?| |pureLex| - |leftScalarTimes!| |selectFiniteRoutines| |integer| RF2UTS |morphism| - |simpleBounds?| |powmod| |isEquiv| |rombergo| |lazyGintegrate| - |associatedEquations| |noLinearFactor?| |readable?| |totalLex| - |rightScalarTimes!| |selectODEIVPRoutines| |magnitude| |linearMatrix| - |mulmod| |isImplies| |simpsono| |power| |exists?| |reverseLex| - |times!| |selectPDERoutines| |cross| |linearPart| |submod| - |showAttributes| |isOr| |trapezoidalo| |sincos| |extension| |leftLcm| - |power!| |selectOptimizationRoutines| |dot| |nonLinearPart| |addmod| - |isAnd| |sup| |sinhcosh| |shallowExpand| |rightExtendedGcd| |assert| - |just| |selectIntegrationRoutines| |scan| |quadratic?| - |symmetricRemainder| |isNot| |imagE| |subresultantVector| |deepExpand| - |rightGcd| |gradient| |routines| |graphCurves| |changeNameToObjf| - |positiveRemainder| |isAtom| |imagk| |primitivePart| - |clearFortranOutputStack| |rightExactQuotient| |divergence| - |mainSquareFreePart| |drawCurves| |optAttributes| |bit?| |atoms| - |imagj| |pointData| |showFortranOutputStack| |rightRemainder| - |laplacian| |mainPrimitivePart| |scale| |Nul| |algint| |dual| |imagi| - |parent| |topFortranOutputStack| |rightQuotient| |hessian| - |mainContent| |connect| |exponents| |formula| |algintegrate| |equiv| - |octon| |extractProperty| |setFormula!| |rightLcm| |bandedHessian| - |primitivePart!| |region| |iisqrt2| |palgintegrate| |implies| - |ODESolve| |extractClosed| |linkToFortran| |leftExtendedGcd| - |jacobian| |nextsubResultant2| |points| |iisqrt3| |palginfieldint| - |merge!| |constDsolve| |extractIndex| - |setLegalFortranSourceExtensions| |leftGcd| |bandedJacobian| - |LazardQuotient2| |getGraph| |iiexp| |bitLength| |max| - |showTheIFTable| |extractPoint| |fracPart| |leftExactQuotient| - |duplicates| |LazardQuotient| |putGraph| |constructor| |iilog| |nrows| - |bitCoef| |resultantEuclidean| |clearTheIFTable| |traverse| |polyPart| - |leftRemainder| |removeDuplicates!| |subResultantChain| |graphs| - |iisin| |ncols| |bitTruth| |semiResultantEuclidean2| |iFTable| - |defineProperty| |tower| |fullPartialFraction| |leftQuotient| - |linears| |halfExtendedSubResultantGcd2| |graphStates| |iicos| - |contains?| |semiResultantEuclidean1| |showIntensityFunctions| - |closeComponent| |subtractIfCan| |primeFrobenius| |monicLeftDivide| - |ddFact| |halfExtendedSubResultantGcd1| |graphState| |iitan| |inf| - |indiceSubResultant| |expint| |modifyPoint| |setPosition| - |discreteLog| |nothing| |monicRightDivide| |separateFactors| - |extendedSubResultantGcd| |makeViewport2D| |iicot| |qinterval| - |indiceSubResultantEuclidean| |diff| |addPointLast| - |decreasePrecision| |leftDivide| |exptMod| |exactQuotient!| - |viewport2D| |iisec| |interval| |semiIndiceSubResultantEuclidean| - |algDsolve| |addPoint2| |increasePrecision| |rightDivide| - |meshPar2Var| |exactQuotient| |type| |getPickedPoints| |iicsc| |unit?| - |rem| |degreeSubResultant| |denomLODE| |addPoint| |bits| - |complexNumeric| |hermiteH| |meshFun2Var| |primPartElseUnitCanonical!| - |colorDef| |iiasin| |associates?| |quo| |degreeSubResultantEuclidean| - |indicialEquations| |merge| |unitNormalize| |laguerreL| |meshPar1Var| - |primPartElseUnitCanonical| |intensity| SEGMENT - |balancedFactorisation| |iiacos| |unitCanonical| - |semiDegreeSubResultantEuclidean| |indicialEquation| |deepCopy| - |setleaves!| |kernels| |unit| |legendreP| |ptFunc| |lazyResidueClass| - |lighting| |before?| |iiatan| |unitNormal| |div| - |lastSubResultantEuclidean| |denomRicDE| |shallowCopy| - |balancedBinaryTree| |flagFactor| |arg1| |writeBytes!| |operator| - |minimumExponent| |monicModulo| |clipSurface| |iiacot| |lfextendedint| - |exquo| |semiLastSubResultantEuclidean| |leadingCoefficientRicDE| - |numberOfChildren| |sqfrFactor| |arg2| |writeUInt8!| |maximumExponent| - |lazyPseudoDivide| |showClipRegion| |lflimitedint| ~= - |subResultantGcdEuclidean| |constantCoefficientRicDE| |children| - |unary?| |primeFactor| |writeInt8!| |univariate| |rowEch| - |lazyPremWithDefault| |showRegion| |rangeIsFinite| |lfinfieldint| |#| - |semiSubResultantGcdEuclidean2| |changeVar| |child| |nullary?| - |nthFlag| |rowEchLocal| |writeByte!| |conditions| |lazyPquo| - |hitherPlane| |functionIsContinuousAtEndPoints| |lfintegrate| ~ - |semiSubResultantGcdEuclidean1| |ratDsolve| |birth| |nthExponent| - |rowEchelonLocal| |isOpen?| |match| |lazyPrem| |eyeDistance| - |functionIsOscillatory| |lfextlimint| |discriminantEuclidean| - |indicialEquationAtInfinity| |internal?| |insertRoot!| |factor| - |normalizedDivide| |pquo| |perspective| |changeName| |BasicMethod| - |semiDiscriminantEuclidean| |reduceLODE| |root?| |pattern| |genus| - |OMcloseConn| |binarySearchTree| |sqrt| |maxint| |prem| |zoom| - |exprHasWeightCosWXorSinWX| |PollardSmallFactor| |/\\| - |chainSubResultants| |singRicDE| |leaf?| |previous| |getZechTable| - |OMconnInDevice| |ptree| |real| |binaryFunction| |supRittWu?| |rotate| - |exprHasAlgebraicWeight| |flatten| |showTheFTable| |\\/| |schema| - |polyRicDE| |outputForm| |predicate| |createZechTable| - |OMconnOutDevice| |sylvesterMatrix| |imag| |makeFloatFunction| - |RittWuCompare| |drawStyle| |exprHasLogarithmicWeights| |ricDsolve| - |argscript| |createMultiplicationTable| |OMconnectTCP| |bezoutMatrix| - |directProduct| |unaryFunction| |mainMonomials| |outlineRender| - |combineFeatureCompatibility| |host| |maxrank| |triangulate| - |superscript| |message| |createMultiplicationMatrix| |OMbindTCP| - |compiledFunction| |mainCoefficients| |diagonals| |sparsityIF| - |trueEqual| |minrank| |solveInField| |subscript| - |createLowComplexityTable| |OMopenFile| |brace| |corrPoly| - |leastMonomial| |axes| |basisOfRightNucloid| - |stiffnessAndStabilityFactor| |factorList| |minset| |wronskianMatrix| - |scripted?| |mapDown!| |createLowComplexityNormalBasis| |OMopenString| - |destruct| |basisOfCentroid| |controlPanel| |binding| - |stiffnessAndStabilityOfODEIF| |listConjugateBases| |nextSublist| - |variationOfParameters| |resetNew| |mapUp!| |representationType| - |OMclose| |complexLimit| |radicalEigenvectors| |viewpoint| - |setProperties| |systemSizeIF| |matrixGcd| |overset?| |lexico| - |symFunc| |localUnquote| |createPrimitiveElement| |OMsetEncoding| - |limit| |radicalEigenvector| |dimensions| |expenseOfEvaluationIF| - |divideIfCan!| |ParCond| |OMmakeConn| |symbolTableOf| |arbitrary| - |tableForDiscreteLogarithm| |plus| |OMputApp| |linearlyDependent?| - |radicalEigenvalues| |convert| |resize| |accuracyIF| |leastPower| - |redmat| |factorsOfCyclicGroupSize| |linearDependence| |OMputAtp| - |eigenMatrix| |monomial| |move| |bright| |intermediateResultsIF| - |idealiser| |outerProduct| |regime| |s17aff| |create3Space| - |sizeMultiplication| |parameters| |solveLinear| |OMputAttr| |script| - |normalise| |multivariate| |digit| |modifyPointData| - |subscriptedVariables| |idealiserMatrix| |sqfree| |s17agf| - |outputAsScript| |getMultiplicationMatrix| |linearElement| F - |OMputBind| |times| |gramschmidt| |variables| |charClass| |subspace| - |eval| |central?| |moduleSum| |inconsistent?| |size| |s17ahf| - |outputAsTex| |getMultiplicationTable| |OMputBVar| |reducedSystem| - |orthonormalBasis| |alphanumeric?| |elliptic?| |mapUnivariate| - |numFunEvals| |s17ajf| |abs| |primitive?| |OMputError| |tex| - |leftReducedSystem| |antisymmetricTensors| |lowerCase?| - |splitDenominator| |doubleResultant| |mapUnivariateIfCan| - |setAdaptive| |s17akf| |Beta| |numberOfIrreduciblePoly| |OMputObject| - |linearForm| |createGenericMatrix| |monicRightFactorIfCan| |error| - |distdfact| |mapMatrixIfCan| |adaptive?| |s17dcf| |digamma| |bfKeys| - |numberOfPrimitivePoly| |OMputEndApp| |monom| |setDifference| - |symmetricTensors| |rightFactorIfCan| |separateDegrees| |mapBivariate| - |setScreenResolution| |s17def| |polygamma| |inspect| - |numberOfNormalPoly| |setIntersection| |OMputEndAtp| |tensorProduct| - |taylor| |leftFactorIfCan| |setLength!| |trace2PowMod| |fullDisplay| - |screenResolution| |s17dgf| |Gamma| |createIrreduciblePoly| |setUnion| - |OMputEndAttr| |permutationRepresentation| |laurent| - |monicDecomposeIfCan| |capacity| |tracePowMod| |relationsIdeal| - |setMaxPoints| |s17dhf| |besselJ| |common| |createPrimitivePoly| - |substitute| |OMputEndBind| |completeEchelonBasis| |puiseux| - |monicCompleteDecompose| |irreducible?| |saturate| |maxPoints| - |s17dlf| |besselY| |parents| |createNormalPoly| |OMputEndBVar| - |duplicates?| |createRandomElement| |divideIfCan| |decimal| - |groebner?| |setMinPoints| |s18acf| |besselI| - |createNormalPrimitivePoly| |mapGen| |OMputEndError| |symbolTable| - |cyclicSubmodule| |inv| |noKaratsuba| |node| |macroExpand| |innerint| - |groebnerIdeal| |minPoints| |s18adf| |besselK| - |createPrimitiveNormalPoly| |ground?| |OMputEndObject| |mapExpon| - |standardBasisOfCyclicSubmodule| |karatsubaOnce| - |exteriorDifferential| |ideal| |s18aef| |parametric?| |airyAi| - |retract| |nextIrreduciblePoly| |pushFortranOutputStack| |ground| - |OMputInteger| |commutativeEquality| |areEquivalent?| |karatsuba| - |totalDifferential| |leadingIdeal| |plotPolar| |s18aff| |airyBi| - |nextPrimitivePoly| |leftMult| |OMputFloat| |isAbsolutelyIrreducible?| - |leadingMonomial| |separate| |homogeneous?| |backOldPos| |debug3D| - |s18dcf| |subNode?| |nextNormalPoly| |rightMult| |OMputVariable| |key| - |meatAxe| |leadingCoefficient| |pseudoDivide| |leadingBasisTerm| - |generalPosition| |numFunEvals3D| |s18def| |infLex?| - |nextNormalPrimitivePoly| |null| |makeUnit| |OMputString| - |scanOneDimSubspaces| |primitiveMonomials| |pseudoQuotient| |ignore?| - |quotient| |setAdaptive3D| |s19aaf| |setEmpty!| - |nextPrimitiveNormalPoly| |filename| |reverse!| |OMputSymbol| |expt| - |not| |reductum| |composite| |computeInt| |zeroDim?| |adaptive3D?| - |s19abf| |setStatus!| |leastAffineMultiple| |nthFactor| |OMgetApp| - |showArrayValues| |and| |subResultantGcd| |li| |checkForZero| - |inRadical?| |setScreenResolution3D| |s19acf| |setCondition!| - |reducedQPowers| |nthExpon| |OMgetAtp| |parse| |showScalarValues| |or| - |resultant| |logGamma| |in?| |screenResolution3D| |s19adf| |setValue!| - |rootOfIrreduciblePoly| |makeMulti| |OMgetAttr| |solveRetract| |xor| - |discriminant| |hypergeometric0F1| |element?| |setMaxPoints3D| - |s20acf| |status| |lift| |write!| |OMgetBind| |makeTerm| - |mainVariable| |pseudoRemainder| |delete| |rotatez| |zeroDimPrime?| - |maxPoints3D| |s20adf| |empty?| |nor| |reduce| |read!| |OMgetBVar| - |listOfMonoms| |uniform01| |shiftLeft| |rotatey| |zeroDimPrimary?| - |setMinPoints3D| |s21baf| |splitNodeOf!| |iomode| |OMgetError| - |symmetricSquare| |normal01| |shiftRight| ** |setProperty| |rotatex| - |primaryDecomp| |minPoints3D| |equation| |s21bbf| |remove!| |close!| - |map| |OMgetObject| |factor1| |exponential1| |karatsubaDivide| - |deleteProperty!| |identity| |keys| |contract| |tValues| |s21bcf| - |subNodeOf?| |reopen!| |OMgetEndApp| |symmetricProduct| |chiSquare1| - |monicDivide| |dictionary| |gensym| |tRange| |s21bdf| |nodeOf?| - |rightUnit| |OMgetEndAtp| |symmetricPower| |exponential| - |divideExponents| |dioSolve| |leadingSupport| |plot| - |fortranCompilerName| |updateStatus!| |test| |leftUnit| |OMgetEndAttr| - |directSum| |chiSquare| |unmakeSUP| |comment| |newLine| |shrinkable| - |pointPlot| |fortranLinkerArgs| |extractSplittingLeaf| - |rightMinimalPolynomial| |OMgetEndBind| - |solveLinearPolynomialEquationByFractions| |factorFraction| |makeSUP| - |copies| |physicalLength!| |calcRanges| |aspFilename| |squareMatrix| - |leftMinimalPolynomial| |OMgetEndBVar| |hasSolution?| - |componentUpperBound| |vectorise| |sayLength| |physicalLength| - |fixPredicate| |dimensionsOf| |transpose| |associatorDependence| - |index| |OMgetEndError| |linSolve| |blue| |extend| |constantOpIfCan| - |setnext!| |flexibleArray| |patternMatch| |restorePrecision| |trim| - |lieAlgebra?| |OMgetEndObject| |LyndonWordsList| |green| |truncate| - |integerBound| |setprevious!| |elseBranch| |patternMatchTimes| |stack| - |antiCommutator| |split| |jordanAlgebra?| |OMgetInteger| - |LyndonWordsList1| |red| |order| |prefix| |has?| - |shanksDiscLogAlgorithm| |thenBranch| |bernoulli| |commutator| - |replace| |byte| |noncommutativeJordanAlgebra?| |OMgetFloat| |pair| - |lyndonIfCan| |whitePoint| |terms| |comparison| |reflect| - |generalizedInverse| |chebyshevT| |associator| |upperCase!| - |jordanAdmissible?| |OMgetVariable| |lyndon| |uniform| - |squareFreePart| |log10| |reify| |imports| |chebyshevU| - |complexEigenvalues| |upperCase| |lieAdmissible?| |OMgetString| - |lyndon?| |binomial| |BumInSepFFE| |functorData| |sequence| - |cyclotomic| |complexEigenvectors| |lowerCase!| |jacobiIdentity?| - |OMgetSymbol| |dim| |numberOfComputedEntries| |poisson| - |multiplyExponents| |separant| |readBytes!| |euler| |isConnected?| - |lowerCase| |powerAssociative?| |OMgetType| |rst| |geometric| - |laurentIfCan| |isobaric?| |readUInt32!| |fixedDivisor| |connectTo| - |KrullNumber| |alternative?| |OMencodingBinary| |frst| |ridHack1| - |laurentRep| |derivative| |weights| |failed| |readInt32!| |laguerre| - |normalizedAssociate| |numberOfVariables| |flexible?| |OMencodingSGML| - |lazyEvaluate| |interpolate| |rationalPower| |constantOperator| - |differentialVariables| |readUInt16!| |legendre| |normalize| - |algebraicDecompose| |rightAlternative?| |lazy?| |box| |OMencodingXML| - |debug| |nullSpace| |dominantTerm| |extractBottom!| |readInt16!| - |dmpToHdmp| |outputArgs| |transcendentalDecompose| - |generalizedContinuumHypothesisAssumed| |leftAlternative?| - |explicitlyEmpty?| |OMencodingUnknown| D |nullity| |limitPlus| - |setright!| |extractTop!| |readUInt8!| |apply| |hdmpToDmp| - |normInvertible?| |internalDecompose| |antiAssociative?| |omError| - |explicitEntries?| |rowEchelon| |setleft!| |split!| |readInt8!| |nil| - |normFactors| |level| |pToHdmp| |first| |log| |decompose| - |associative?| |errorInfo| |matrixDimensions| |column| |setlast!| - |elaborate| |readByte!| |hdmpToP| |rest| |npcoef| |upDateBranches| - |generalizedContinuumHypothesisAssumed?| |antiCommutative?| - |errorKind| |matrixConcat3D| |row| |setrest!| |solid| |setFieldInfo| - |dmpToP| |listexp| |preprocess| |commutative?| |OMReadError?| - |setelt!| |maxColIndex| |setfirst!| |solid?| |pol| |pToDmp| - |approximate| |characteristicPolynomial| |internalZeroSetSplit| - |identityMatrix| |minColIndex| |cycleSplit!| |denominators| |complex| - |xn| |sylvesterSequence| |realEigenvalues| |internalAugment| - |mapExponents| |zeroMatrix| |maxRowIndex| |concat!| |numerators| - |dAndcExp| |sturmSequence| |realEigenvectors| |possiblyInfinite?| - |linearAssociatedLog| |basisOfCenter| |mappingAst| |minRowIndex| - |cycleTail| |convergents| |repSq| |boundOfCauchy| - |halfExtendedResultant2| |explicitlyFinite?| |linearAssociatedOrder| - |float| |basisOfLeftNucloid| |nullary| |antisymmetric?| |cycleLength| - |approximants| |halfExtendedResultant1| |nextItem| - |linearAssociatedExp| |upperCase?| |fixedPoint| |print| |symmetric?| - |cycleEntry| |reducedForm| |virtualDegree| - |factorSquareFreeByRecursion| |extendedResultant| |upperBound| - |createNormalElement| |alphabetic?| |resolve| |recur| |diagonal?| |sn| - |invmultisect| |partialQuotients| |conditionsForIdempotents| |randomR| - |subResultantsChain| |lowerBound| |setLabelValue| |hexDigit?| |const| - |square?| |multisect| |partialDenominators| |lp| - |genericRightDiscriminant| |factorSFBRlcUnit| |lazyPseudoQuotient| - |iterationVar| |getCode| |digit?| |revert| |partialNumerators| - |genericRightTraceForm| |charthRoot| |lazyPseudoRemainder| - |infiniteProduct| |printCode| |iExquo| |numerator| |escape| - |generalLambert| |reducedContinuedFraction| |genericLeftDiscriminant| - |conditionP| |bernoulliB| |evenInfiniteProduct| |systemCommand| - |printStatement| |getStream| |quadraticForm| |ord| |evenlambert| - |push| |genericLeftTraceForm| |solveLinearPolynomialEquation| - |printInfo| |eulerE| |oddInfiniteProduct| |block| |getRef| |back| - |mkIntegral| |outputList| |oddlambert| |Aleph| |cartesian| - |genericRightNorm| |factorSquareFreePolynomial| |returns| GE - |makeSeries| |front| |radPoly| |lambert| |polar| |genericRightTrace| - |factorPolynomial| |e04mbf| |SturmHabichtSequence| |normal| |call| GT - |mappingMode| |rotate!| |rootPoly| |lagrange| |cylindrical| - |genericRightMinimalPolynomial| |squareFreePolynomial| |e04naf| - |SturmHabichtCoefficients| |goto| LE |categoryMode| |dequeue!| - |goodPoint| |bfEntry| |univariatePolynomial| |spherical| - |rightRankPolynomial| |gcdPolynomial| |e04ucf| |SturmHabicht| - |repeatUntilLoop| LT |concat| |voidMode| |enqueue!| |chvar| - |parabolic| |genericLeftNorm| |torsion?| |e04ycf| |countRealRoots| - |shift| |remove| |ravel| |whileLoop| |noValueMode| |quatern| - |removeDuplicates| |coefficient| |equality| |parabolicCylindrical| - |genericLeftTrace| |torsionIfCan| |f01brf| |SturmHabichtMultiple| - |nand| |forLoop| |reshape| |jokerMode| |imagK| |find| |coHeight| - |nary?| |paraboloidal| |genericLeftMinimalPolynomial| |getGoodPrime| - |f01bsf| |countRealRootsMultiple| |last| |binaryTournament| |sin?| - GF2FG |imagJ| |clipParametric| |extendIfCan| |ellipticCylindrical| - |leftRankPolynomial| |badNum| |f01maf| |signatureAst| |assoc| - |zeroVector| FG2F |imagI| |clipWithRanges| |algebraicVariables| - |prolateSpheroidal| |entry| |generic| |mix| |f01mcf| |pop!| |declare!| - |zeroSquareMatrix| F2FG |conjugate| |numberOfHues| - |zeroSetSplitIntoTriangularSystems| |oblateSpheroidal| |rightUnits| - |doubleDisc| |f01qcf| |push!| |identitySquareMatrix| |explogs2trigs| - |queue| |yellow| |zeroSetSplit| |bipolar| |leftUnits| |polyred| - |f01qdf| |minordet| |lookupFunction| |update| |trigs2explogs| - |nthRoot| |iifact| |reduceByQuasiMonic| |bipolarCylindrical| - |compBound| |f01qef| |padicFraction| |depth| |determinant| - |encodingDirectory| |swap!| |fractRadix| |iibinom| |collectQuasiMonic| - |toroidal| |tablePow| |padicallyExpand| |f01rcf| |diagonalProduct| - |iiperm| |attributeData| |fill!| |wholeRadix| |units| |removeZero| - |conical| |solveid| |numberOfFractionalTerms| |f01rdf| |diagonal| - |domainTemplate| |minIndex| |cycleRagits| |iipow| |initiallyReduce| - |modTree| |retractIfCan| |testModulus| |nthFractionalTerm| |f01ref| - |diagonalMatrix| |rootKerSimp| |lSpaceBasis| |maxIndex| |prefixRagits| - |iidsum| |headReduce| |multiEuclideanTree| |HenselLift| |firstNumer| - |f02aaf| |scalarMatrix| |leftRank| |segment| |finiteBasis| |entry?| - |fractRagits| |iidprod| |stronglyReduce| |complexZeros| - |completeHensel| |firstDenom| |f02abf| |hermite| |principal?| - |indices| |wholeRagits| |ipow| |rewriteSetWithReduction| - |divisorCascade| |top| |multMonom| |compactFraction| |f02adf| - |completeHermite| |factorial| |divisor| |index?| |radix| |code| - |autoReduced?| |graeffe| |continue| |build| |partialFraction| |f02aef| - |smith| |useNagFunctions| |entries| |randnum| |multinomial| - |initiallyReduced?| |pleskenSplit| |leadingIndex| |gcdPrimitive| - |f02aff| |completeSmith| |rationalPoints| |function| |key?| |reseed| - |permutation| |headReduced?| |reciprocalPolynomial| |leadingExponent| - |symmetricGroup| |f02agf| |diophantineSystem| |say| |nonSingularModel| - |symbolIfCan| |seed| |stirling1| |stronglyReduced?| |rootRadius| - |GospersMethod| |alternatingGroup| |f02ajf| |csubst| |algSplitSimple| - |argument| |rational| |stirling2| |reduced?| |schwerpunkt| - |nextSubsetGray| |abelianGroup| |f02akf| |particularSolution| |reset| - |hyperelliptic| |constantKernel| |rational?| |summation| |normalized?| - |setErrorBound| |firstSubsetGray| |cyclicGroup| |f02awf| |mapSolve| - |elliptic| |constantIfCan| |rationalIfCan| |factorials| - |quasiComponent| |startPolynomial| |clipPointsDefault| |dihedralGroup| - |f02axf| |quadratic| |write| |integralDerivationMatrix| |kovacic| - |setvalue!| |mkcomm| |initials| |cycleElt| |drawToScale| |generator| - |mathieu11| |f02bbf| |cubic| |save| EQ |label| |integralRepresents| - |laplace| |setchildren!| |polarCoordinates| |basicSet| - |computeCycleLength| |adaptive| |mathieu12| |f02bjf| |quartic| - |integralCoordinates| |trailingCoefficient| |node?| |imaginary| - |infRittWu?| |unravel| |computeCycleEntry| |figureUnits| |mathieu22| - |f02fjf| |aLinear| |yCoordinates| |normalizeIfCan| |child?| - |elaborateFile| |getCurve| |subst| |findConstructor| |putColorInfo| - |mathieu23| |f02wef| |aQuadratic| |inverseIntegralMatrixAtInfinity| - |polCase| |distance| |listLoops| |dualSignature| |appendPoint| - |mathieu24| |f02xef| |aCubic| |zeroOf| |stop| - |integralMatrixAtInfinity| |distFact| |hash| |nodes| |closed?| - |coerceP| |component| |janko2| |f04adf| |aQuartic| |rootsOf| - |inverseIntegralMatrix| |lcm| |count| |identification| |rename| - |open?| |powerSum| |ranges| |rubiksGroup| |f04arf| |radicalSolve| - |makeSketch| |integralMatrix| |LyndonCoordinates| |rename!| - |setClosed| |objects| |category| |elementary| |pointLists| - |youngGroup| |f04asf| |radicalRoots| |inrootof| - |radicalOfLeftTraceForm| |reduceBasisAtInfinity| |append| - |LyndonBasis| |mainValue| |tube| |leviCivitaSymbol| |base| |domain| - |alternating| |makeGraphImage| |lexGroebner| |f04atf| |contractSolve| - |droot| |applyRules| |option| |normalizeAtInfinity| |gcd| - |zeroDimensional?| |mainDefiningPolynomial| |unitVector| |package| - |cyclic| |graphImage| |totalGroebner| |incr| |f04axf| |decomposeFunc| - |iroot| |super| |complementaryBasis| |false| |fglmIfCan| |mainForm| - |cosSinInfo| |dihedral| |groebSolve| |constant| |expressIdealMember| - |hi| |f04faf| |unvectorise| |setAttributeButtonStep| |size?| - |integral?| |groebner| |rischDE| |loopPoints| |cap| |open| |testDim| - |principalIdeal| |f04jgf| |bubbleSort!| |resetAttributeButtons| |qelt| - |eq?| |integralAtInfinity?| |lexTriangular| |rischDEsys| - |generalTwoFactor| |cup| |genericPosition| |LagrangeInterpolation| - |f04maf| |insertionSort!| |qsetelt| |doublyTransitive?| - |integralBasisAtInfinity| |squareFreeLexTriangular| |monomRDE| - |generalSqFr| |wreath| |lfunc| |psolve| |f04mbf| |check| |xRange| - |linear| |knownInfBasis| |ramified?| |belong?| |baseRDE| |twoFactor| - |SFunction| |inHallBasis?| |wrregime| |f04mcf| |lprop| |yRange| - |rootSplit| |ramifiedAtInfinity?| |Ci| |polyRDE| |setOrder| - |operations| |skewSFunction| |reorder| |rdregime| |f04qaf| |llprop| - |zRange| |polynomial| |ratDenom| |singular?| |Si| |monomRDEsys| - |point| |erf| |getOrder| |cyclotomicDecomposition| |headAst| |bsolve| - |f07adf| |lllp| |map!| |ratPoly| |singularAtInfinity?| |Ei| - |baseRDEsys| |less?| |cyclotomicFactorization| |heap| |dmp2rfi| - |f07aef| |lllip| |qsetelt!| |rootPower| |branchPoint?| |varList| - |linGenPos| |weighted| |userOrdered?| |gcdprim| |se2rfi| |f07fdf| - |mesh?| |branchPointAtInfinity?| |groebgen| |rdHack1| |series| |dilog| - |largest| |gcdcofact| |pr2dmp| |f07fef| |mesh| |rationalPoint?| - |totolex| |midpoint| |sin| |more?| |gcdcofactprim| |hasoln| |s01eaf| - |polygon?| |absolutelyIrreducible?| |minPol| |midpoints| |cos| - |setVariableOrder| |lintgcd| |ParCondList| |s13aaf| |polygon| - |computeBasis| |realZeros| |tan| |getVariableOrder| |hex| |redpps| - |generate| |s13acf| |closedCurve?| |acsch| |problemPoints| |coord| - |step| |min| |mainCharacterization| |cot| |resetVariableOrder| - |every?| |B1solve| |s13adf| |closedCurve| |zerosOf| |anticoord| - |algebraicOf| |sec| |prime?| |any?| |incrementBy| |factorset| |s14aaf| - |curve?| |singularitiesOf| |intcompBasis| |ReduceOrder| |csc| |sample| - |s14abf| |curve| |rootProduct| |polynomialZeros| |choosemon| |setref| - |asin| |rationalFunction| |numberOfFactors| |infinity| |insertMatch| - |s14baf| |point?| |rootSimp| |f2df| |transform| |deref| |acos| - |taylorIfCan| |modularFactor| |addMatch| |s15adf| |enterPointData| - |ef2edf| |pack!| |ref| |atan| |removeZeroes| |useSingleFactorBound?| - |getMatch| |s15aef| |composites| |rightRank| |ocf2ocdf| |acot| - |taylorRep| |useSingleFactorBound| |kernel| |failed?| |s17acf| - |components| |doubleRank| |socf2socdf| |isQuotient| |closed| - |univariatePolynomialsGcds| |asec| |factorSquareFree| - |useEisensteinCriterion?| |optpair| |list| |s17adf| - |numberOfComposites| |weakBiRank| |currentEnv| |df2fi| |bothWays| - |removeRoughlyRedundantFactorsInContents| |acsc| |henselFact| |draw| - |useEisensteinCriterion| |getBadValues| |s17aef| |numberOfComponents| - |biRank| |numeric| |edf2fi| |bytes| |removeRedundantFactorsInContents| - |sinh| |hasHi| |eisensteinIrreducible?| |dec| |resetBadValues| - |basisOfCommutingElements| |edf2df| |radical| |checkPrecision| - |ip4Address| |insert| |removeRedundantFactorsInPols| |substring?| - |cosh| |fmecg| |tryFunctionalDecomposition?| |hasTopPredicate?| - |c06gsf| |elements| |basisOfLeftAnnihilator| |expenseOfEvaluation| - |iprint| |irreducibleFactors| |tanh| |commonDenominator| - |tryFunctionalDecomposition| |topPredicate| |d01ajf| - |replaceKthElement| |basisOfRightAnnihilator| |numberOfOperations| - |elem?| |height| |lazyIrreducibleFactors| |suffix?| |coth| - |clearDenominator| |makeObject| |btwFact| |setTopPredicate| |d01akf| - |incrementKthElement| |basisOfLeftNucleus| |edf2efi| |notelem| - |removeIrreducibleRedundantFactors| |signature| |sech| |mr| - |beauzamyBound| |patternVariable| |coef| |d01alf| |cdr| - |basisOfRightNucleus| |dfRange| |logpart| |normalForm| |prefix?| - |interpretString| |csch| |bombieriNorm| |withPredicates| |d01amf| - |car| |basisOfMiddleNucleus| |dflist| |ratpart| |changeBase| - |stripCommentsAndBlanks| |asinh| |rootBound| |setPredicates| |d01anf| - |float?| |basisOfNucleus| |df2mf| |mkAnswer| |companionBlocks| - |setPrologue!| |acosh| |singleFactorBound| |predicates| |d01apf| - |integer?| |ldf2vmf| |irDef| |xCoord| |setTex!| |atanh| - |quadraticNorm| |hasPredicate?| |d01aqf| |symbol?| |countable?| - |mindeg| |edf2ef| |irCtor| |yCoord| |setEpilogue!| |acoth| - |infinityNorm| |optional?| |d01asf| |string?| |maxdeg| |vedf2vef| - |irVar| |zCoord| |prologue| |asech| |scaleRoots| |multiple?| |d01bbf| - |list?| |RemainderList| |df2st| |perfectNthPower?| |rCoord| |infix?| - |epilogue| |shiftRoots| |generic?| |d01fcf| |pair?| |unexpand| |f2st| - |mask| |perfectNthRoot| |thetaCoord| |endOfFile?| |multiple| |next| - |degreePartition| |quoted?| |d01gaf| |atom?| |shape| |ldf2lst| - |approxNthRoot| |phiCoord| |readIfCan!| |applyQuote| |factorOfDegree| - |inR?| |d01gbf| |null?| |youngDiagram| |sdf2lst| |perfectSquare?| - |color| |readLineIfCan!| |factorsOfDegree| |isList| |d02bbf| - |startTable!| |triangSolve| |getlo| |perfectSqrt| |hue| |rules| - |readLine!| |pascalTriangle| |isOp| |tail| |d02bhf| |stopTable!| - |univariateSolve| |gethi| |cond| |approxSqrt| |shade| |writeLine!| - |ruleset| |rangePascalTriangle| |satisfy?| |d02cjf| - |supDimElseRittWu?| |realSolve| |outputMeasure| |declare| - |generateIrredPoly| |nthRootIfCan| |sign| |sizePascalTriangle| - |addBadValue| |d02ejf| |algebraicSort| |typeForm| |positiveSolve| - |measure2Result| |complexExpand| |expIfCan| |nonQsign| - |fillPascalTriangle| |badValues| |d02gaf| |moreAlgebraic?| - |squareFree| |att2Result| |complexIntegrate| |logIfCan| |direction| - |suchThat| |popFortranOutputStack| |safeCeiling| |retractable?| - |d02gbf| |subTriSet?| |linearlyDependentOverZ?| |iflist2Result| - |dimensionOfIrreducibleRepresentation| |sinIfCan| |createThreeSpace| - |outputAsFortran| |safeFloor| |ListOfTerms| |d02kef| |subPolSet?| - |linearDependenceOverZ| |pdf2ef| |irreducibleRepresentation| - |cosIfCan| |cyclicParents| |safetyMargin| |unknown| |PDESolve| - |d02raf| |internalSubPolSet?| |solveLinearlyOverQ| |pdf2df| |checkRur| - |tanIfCan| |cyclicEqual?| |sumSquares| |leftFactor| |d03edf| - |internalInfRittWu?| |df2ef| |cAcsch| |cotIfCan| |cyclicEntries| - |euclideanNormalForm| |rightFactorCandidate| |d03eef| - |internalSubQuasiComponent?| |fi2df| |cAsech| |secIfCan| |cyclicCopy| - |euclideanGroebner| |measure| |d03faf| |subQuasiComponent?| |mat| - |set| |cAcoth| |cscIfCan| |cyclic?| |byteBuffer| |center| - |factorGroebnerBasis| |coerceImages| |e01baf| - |removeSuperfluousQuasiComponents| |neglist| |cAtanh| |asinIfCan| - |complexNormalize| |unknownEndian| |bindings| |groebnerFactorize| - |fixedPoints| |e01bef| |subCase?| |multiEuclidean| |cAcosh| - |acosIfCan| |complexElementary| BY |dom| |credPol| |odd?| |e01bff| - |removeSuperfluousCases| |extendedEuclidean| |cAsinh| |atanIfCan| - |trigs| |redPol| |even?| |e01bgf| |prepareDecompose| |euclideanSize| - |cCsch| |acotIfCan| |real?| |gbasis| |numberOfCycles| |e01bhf| - |branchIfCan| |sizeLess?| |cSech| |asecIfCan| |complexForm| |critT| - |cyclePartition| |e01daf| |startTableGcd!| |setColumn!| |condition| - |simplifyPower| |cCoth| |acscIfCan| |UpTriBddDenomInv| |critM| - |coerceListOfPairs| |e01saf| |stopTableGcd!| |setRow!| |number?| - |cTanh| |sinhIfCan| |LowTriBddDenomInv| |critB| |vector| - |coercePreimagesImages| |title| |e01sbf| |startTableInvSet!| - |seriesSolve| |cCosh| |coshIfCan| |simplify| |differentiate| - |critBonD| |listRepresentation| |e01sef| |stopTableInvSet!| NOT - |constantToUnaryFunction| |cSinh| |tanhIfCan| |htrigs| |critMTonD1| - |permanent| |e01sff| |stosePrepareSubResAlgo| OR |tubePlot| |show| - |cAcsc| |cothIfCan| |simplifyExp| |e| |critMonD1| |cycles| |e02adf| - |stoseInternalLastSubResultant| AND |exponentialOrder| |cAsec| - |sechIfCan| |simplifyLog| |redPo| |cycle| |e02aef| - |stoseIntegralLastSubResultant| |completeEval| |trace| |cAcot| - |cschIfCan| |expandPower| |hMonic| |initializeGroupForWordProblem| - |e02agf| |stoseLastSubResultant| |lowerPolynomial| |cAtan| - |asinhIfCan| |expandLog| |updatF| |support| |e02ahf| - |stoseInvertible?sqfreg| |fortran| |raisePolynomial| |cAcos| - |acoshIfCan| |cos2sec| |sPol| |wordInGenerators| |e02ajf| - |stoseInvertibleSetsqfreg| |normalDeriv| |cAsin| |atanhIfCan| |eq| - |cosh2sech| |updatD| |wordInStrongGenerators| |e02akf| - |stoseInvertible?reg| |bitand| |datalist| |ran| |cCsc| |iter| - |acothIfCan| |cot2trig| |minGbasis| |orbits| |length| |e02baf| - |stoseInvertibleSetreg| |bitior| |highCommonTerms| |leaves| |cSec| - |asechIfCan| |coth2trigh| |lepol| |matrix| |orbit| |scripts| |e02bbf| - |stoseInvertible?| |char| |mapCoef| |cCot| |acschIfCan| |csc2sin| - |prinshINFO| |permutationGroup| |e02bcf| |stoseInvertibleSet| - |operation| |nthCoef| |cTan| |pushdown| |csch2sinh| |prindINFO| - |wordsForStrongGenerators| |e02bdf| |stoseSquareFreePart| * |extract!| - |binomThmExpt| |cCos| |pushup| |sec2cos| |fprindINFO| - |strongGenerators| |e02bef| |coleman| |compile| |bag| |pomopo!| |cSin| - |reducedDiscriminant| |sech2cosh| |prinpolINFO| |generators| |e02daf| - |inverseColeman| |rightTrim| |cLog| |idealSimplify| |exp| |sin2csc| - |arguments| |prinb| |bivariateSLPEBR| |e02dcf| |listYoungTableaus| - |iiasec| |clearCache| = |leftTrim| |cExp| |definingInequation| - |sinh2csch| |critpOrder| |solveLinearPolynomialEquationByRecursion| - |e02ddf| |makeYoungTableau| |iiacsc| |cRationalPower| - |definingEquations| |tan2trig| |makeCrit| |factorByRecursion| |e02def| - |nextColeman| |iisinh| < |cPower| |setStatus| |tanh2trigh| - |loadNativeModule| |e02dff| |nextLatticePermutation| |kind| |iicosh| > - |seriesToOutputForm| |quasiAlgebraicSet| |tan2cot| |irreducibleFactor| - |outputBinaryFile| |e02gaf| |nextPartition| |iitanh| |op| <= - |iCompose| |radicalSimplify| |tanh2coth| |factors| |blankSeparate| - |mantissa| |e02zaf| |numberOfImproperPartitions| |iicoth| >= - |taylorQuoByVar| |denominator| |cot2tan| |nilFactor| - |semicolonSeparate| |e04dgf| |subSet| |iisech| |coth2tanh| - |regularRepresentation| |commaSeparate| |e04fdf| - |unrankImproperPartitions0| |arrayStack| |iicsch| |clearTheFTable| - |resultantReduit| |expand| |removeCosSq| |traceMatrix| |pile| |second| - |e04gcf| |unrankImproperPartitions1| |setButtonValue| |iiasinh| - |fTable| + |resultantReduitEuclidean| |filterWhile| |removeSinSq| - |randomLC| |paren| |third| |e04jaf| |subresultantSequence| |iiacosh| - |palgint0| |semiResultantReduitEuclidean| - |filterUntil| |void| - |removeCoshSq| |minimize| |bracket| |iiatanh| |palgextint0| |union| / - |divide| |select| |removeSinhSq| |module| |comp| |prod| |lifting| - |mainMonomial| |iiacoth| |palglimint0| |Lazard| |expandTrigProducts| - |rightRegularRepresentation| |overlabel| |lifting1| |quasiMonic?| - |leader| |initial| |iiasech| |palgRDE0| |Lazard2| |fintegrate| - |leftRegularRepresentation| |overbar| |exprex| |monic?| |iiacsch| - |cons| |palgLODE0| |nextsousResultant2| |rightTraceMatrix| |prime| - |coerceL| |deepestInitial| |specialTrigs| |chineseRemainder| - |resultantnaif| |argumentListOf| |leftTraceMatrix| |quote| |coerceS| - |iteratedInitials| |localReal?| |divisors| |resultantEuclideannaif| - |int| |returnTypeOf| |rightDiscriminant| |supersub| |frobenius| - |deepestTail| |rischNormalize| |eulerPhi| |makeRecord| - |semiResultantEuclideannaif| |printHeader| |leftDiscriminant| - |presuper| |computePowers| |head| |realElementary| |fibonacci| |pdct| - |returnType!| |bigEndian| |represents| |presub| |pow| |mdeg| - |makeViewport3D| |validExponential| |harmonic| |powers| - |argumentList!| |littleEndian| |mergeFactors| |sub| |coerce| |An| - |mvar| |viewport3D| |rootNormalize| |source| |parts| |jacobi| - |partitions| |endSubProgram| |isMult| |rarrow| |construct| - |UnVectorise| |relativeApprox| |viewDeltaYDefault| |tanQ| |moebiusMu| - |partition| |currentSubProgram| |reverse| |exprToXXP| |assign| - |Vectorise| |rootOf| |viewDeltaXDefault| |name| |callForm?| - |numberOfDivisors| |complete| |newSubProgram| |exprToUPS| |slash| - |output| |setPoly| |allRootsOf| |viewZoomDefault| |body| - |getIdentifier| |sumOfDivisors| |pole?| |clearTheSymbolTable| - |exprToGenUPS| |over| |exponent| |definingPolynomial| |viewPhiDefault| - |variable?| |sumOfKthPowerDivisors| |listBranches| - |showTheSymbolTable| |expr| |localAbs| |zag| |exQuo| |positive?| - |viewThetaDefault| |getConstant| |target| |HermiteIntegrate| - |triangular?| |directory| |printTypes| |universe| |postfix| |moebius| - |negative?| |pointColorDefault| |environment| |palgint| - |rewriteIdealWithRemainder| |newTypeLists| |complement| |infix| - |rightRecip| |zero?| |lineColorDefault| |irForm| |palgextint| - |rewriteIdealWithHeadRemainder| |kroneckerDelta| |typeLists| - |cardinality| |vconcat| |leftRecip| |augment| |axesColorDefault| - |elaboration| |palglimint| |remainder| |reindex| |externalList| - |variable| |internalIntegrate0| |hconcat| |leftPower| - |lastSubResultant| |unitsColorDefault| |select!| |palgRDE| - 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\ No newline at end of file + |Record| |Union| |sdf2lst| |calcRanges| |iiabs| |dom| |toScale| + |ramified?| |getMultiplicationMatrix| |back| |inverseColeman| |tree| + |bitTruth| |fractRadix| |perfectSquare?| |aspFilename| |superHeight| + |solve1| |belong?| |linearElement| |mkIntegral| |cLog| |iibinom| + |semiResultantEuclidean2| |color| |squareMatrix| |splitSquarefree| + |froot| |idealSimplify| |OMputBind| |baseRDE| |string| |oddlambert| + |iFTable| |collectQuasiMonic| |leftMinimalPolynomial| |readLineIfCan!| + |invertibleElseSplit?| |ScanRoman| |gramschmidt| |twoFactor| |Aleph| + |sin2csc| |toroidal| |defineProperty| |factorsOfDegree| |OMgetEndBVar| + |viewDefaults| |repeating?| |charClass| |SFunction| |cartesian| + |prinb| |fullPartialFraction| |tablePow| |hasSolution?| |isList| + |categoryFrame| |title| |outputFixed| |inHallBasis?| |subspace| + |genericRightNorm| |bivariateSLPEBR| |leftQuotient| |padicallyExpand| + |d02bbf| |componentUpperBound| |pmintegrate| |swapColumns!| |central?| + |wrregime| |e02dcf| |factorSquareFreePolynomial| |linears| |f01rcf| + |startTable!| |vectorise| |roughBase?| |makeop| |moduleSum| |f04mcf| + |returns| |listYoungTableaus| |predicate| + |halfExtendedSubResultantGcd2| |diagonalProduct| |sayLength| + |triangSolve| |compound?| |e| |refine| |inconsistent?| |lprop| + |iiasec| |makeSeries| |iiperm| |graphStates| |getlo| |physicalLength| + |bringDown| |quoByVar| |rootSplit| |s17ahf| |cExp| |front| |iicos| + |attributeData| |perfectSqrt| |fixPredicate| |subHeight| + |pointColorPalette| |ramifiedAtInfinity?| |outputAsTex| |radPoly| + |definingInequation| |hash| |contains?| |fill!| |dimensionsOf| |hue| + |normalDenom| |double| |innerEigenvectors| |getMultiplicationTable| + |Ci| |sinh2csch| |lambert| |count| |semiResultantEuclidean1| + |wholeRadix| |transpose| |readLine!| |purelyAlgebraicLeadingMonomial?| + |nthr| |OMputBVar| |polyRDE| |polar| |critpOrder| ** + |associatorDependence| |showIntensityFunctions| |removeZero| + |pascalTriangle| |output| |viewWriteDefault| |ScanFloatIgnoreSpaces| + |reducedSystem| |setOrder| |genericRightTrace| + |solveLinearPolynomialEquationByRecursion| |conical| |closeComponent| + |OMgetEndError| |isOp| |interactiveEnv| |repeating| |skewSFunction| + |orthonormalBasis| |e02ddf| |factorPolynomial| |subtractIfCan| + |solveid| |linSolve| |d02bhf| |infieldint| |alphanumeric?| + |outputFloating| |reorder| |nothing| |e04mbf| |makeYoungTableau| + |primeFrobenius| |numberOfFractionalTerms| |blue| |stopTable!| + |trivialIdeal?| |swapRows!| |elliptic?| |rdregime| |iiacsc| + |SturmHabichtSequence| |parameters| |f01rdf| |monicLeftDivide| + |extend| |univariateSolve| |getOperands| |opeval| |mapUnivariate| + |f04qaf| |call| |cRationalPower| |datalist| |ddFact| |diagonal| + |constantOpIfCan| |gethi| |newReduc| |declare!| |parents| + |mappingMode| |middle| |numFunEvals| |llprop| |definingEquations| + |varList| |domainTemplate| |halfExtendedSubResultantGcd1| |setnext!| + |approxSqrt| |doubleFloatFormat| |ratDenom| |coefficients| |s17ajf| + |rotate!| |tan2trig| |rightTrim| |minIndex| |graphState| + |flexibleArray| |shade| |totalfract| |rootPoly| |curveColorPalette| + |singular?| |abs| |makeCrit| |leftTrim| |iitan| |cycleRagits| + |patternMatch| |writeLine!| |algebraicCoefficients?| |parseString| + |primitive?| |Si| |factorByRecursion| |lagrange| |tanNa| |iipow| |inf| + |rangePascalTriangle| |restorePrecision| |viewWriteAvailable| + |firstUncouplingMatrix| |OMputError| |monomRDEsys| |cylindrical| + |e02def| |hexDigit| |indiceSubResultant| |initiallyReduce| |satisfy?| + |trim| |putProperties| |ScanFloatIgnoreSpacesIfCan| + |leftReducedSystem| |getOrder| |genericRightMinimalPolynomial| + |nextColeman| |modTree| |expint| |lieAlgebra?| |d02cjf| |extendedint| + |cyclotomicDecomposition| |recip| |iisinh| |antisymmetricTensors| + |mantissa| |squareFreePolynomial| |testModulus| |modifyPoint| + |OMgetEndObject| |supDimElseRittWu?| |collectUpper| |segment| |exp1| + |lowerCase?| |headAst| |cPower| |e04naf| |transcendenceDegree| + |setPosition| |nthFractionalTerm| |LyndonWordsList| |realSolve| + |getOperator| |evaluateInverse| |bsolve| |splitDenominator| + |setStatus| |SturmHabichtCoefficients| |primlimintfrac| |ruleset| + |discreteLog| |f01ref| |outputMeasure| |green| |logical?| |vertConcat| + |doubleResultant| |f07adf| |goto| |tanh2trigh| |monicRightDivide| + |diagonalMatrix| |generateIrredPoly| |truncate| |messagePrint| |roman| + |mapUnivariateIfCan| |lllp| |categoryMode| |e02dff| |apply| |step| + |rootKerSimp| |separateFactors| |integerBound| |nthRootIfCan| + |pushdterm| |ratPoly| |setAdaptive| |dequeue!| + |nextLatticePermutation| |suchThat| |first| |lSpaceBasis| + |extendedSubResultantGcd| |setprevious!| |sign| + |purelyTranscendental?| |normal?| |singularAtInfinity?| |s17akf| + |goodPoint| |iicosh| |rest| |maxIndex| |makeViewport2D| + |sizePascalTriangle| |elseBranch| |var1StepsDefault| |totalDegree| + |bfEntry| |Ei| |Beta| |seriesToOutputForm| |plus| |iicot| + |prefixRagits| |addBadValue| |patternMatchTimes| |getProperties| + |makingStats?| |numberOfIrreduciblePoly| |baseRDEsys| + |quasiAlgebraicSet| |univariatePolynomial| |concat| |d02ejf| + |antiCommutator| |limitedint| |sort!| |OMputObject| |less?| + |spherical| |tan2cot| |positiveRemainder| |algebraicSort| |split| + |collect| |OMreadStr| |cyclotomicFactorization| |irreducibleFactor| + |linearForm| |rightRankPolynomial| |times| |isAtom| |jordanAlgebra?| + |positiveSolve| |nil?| |curry| |heap| |createGenericMatrix| + |outputBinaryFile| |gcdPolynomial| |imagk| |measure2Result| + |OMgetInteger| |associatedSystem| |removeRoughlyRedundantFactorsInPol| + |rectangularMatrix| |e02gaf| |e04ucf| |primitivePart| |complexExpand| + |LyndonWordsList1| |character?| |listOfLists| |LiePolyIfCan| + |makeSketch| |subscript| |nextPartition| |SturmHabicht| + |clearFortranOutputStack| |expIfCan| |red| |members| |option?| + |integralMatrix| |createLowComplexityTable| |iitanh| |repeatUntilLoop| + |monom| |rightExactQuotient| |nonQsign| |order| |pushucoef| |basis| + |LyndonCoordinates| |OMopenFile| |iCompose| |voidMode| |divergence| + |purelyAlgebraic?| |minimumDegree| |corrPoly| |rename!| + |radicalSimplify| |enqueue!| |mainSquareFreePart| |dflist| |s20adf| + |var2StepsDefault| |extractIfCan| |leastMonomial| |setClosed| |chvar| + |common| |tanh2coth| |drawCurves| |ratpart| |empty?| + |uncouplingMatrices| |copyInto!| |elementary| |axes| |parabolic| + |factors| |optAttributes| |nor| |changeBase| |bezoutResultant| + |OMlistCDs| |basisOfRightNucloid| |pointLists| |read!| |bit?| + |processTemplate| |stripCommentsAndBlanks| |putProperty| |diag| + |stiffnessAndStabilityFactor| |youngGroup| |updatF| + |explicitlyFinite?| |rootBound| |atoms| |makeResult| |OMgetBVar| + |integerIfCan| |characteristic| |factorList| |f04asf| + |linearAssociatedOrder| |support| |kind| |imagj| |listOfMonoms| + |setPredicates| |collectUnder| |trunc| |minset| |radicalRoots| + |basisOfLeftNucloid| |e02ahf| |op| |pointData| |d01anf| |uniform01| + |range| |inrootof| |wronskianMatrix| |nullary| + |stoseInvertible?sqfreg| |showFortranOutputStack| |float?| |shiftLeft| + |negative?| |normalElement| |radicalOfLeftTraceForm| |scripted?| + |raisePolynomial| |antisymmetric?| |rightRemainder| |basisOfNucleus| + |rotatey| |pointColorDefault| |monomials| |mapDown!| + |reduceBasisAtInfinity| |cAcos| |cycleLength| |tanAn| |laplacian| + |df2mf| |zeroDimPrimary?| |environment| |li| |insert!| + |createLowComplexityNormalBasis| |LyndonBasis| |approximants| + |acoshIfCan| |mainPrimitivePart| |mkAnswer| |setMinPoints3D| |palgint| + |sorted?| SEGMENT |OMopenString| |mainValue| |halfExtendedResultant1| + |cos2sec| |scale| |s21baf| |companionBlocks| + |rewriteIdealWithRemainder| |basisOfCentroid| |OMlistSymbols| |box| + |tube| |sPol| |nextItem| |Nul| |union| |splitNodeOf!| |setPrologue!| + |newTypeLists| |curryRight| |leviCivitaSymbol| |controlPanel| + |linearAssociatedExp| |wordInGenerators| |algint| |iomode| + |singleFactorBound| |complement| |unknown| |round| |binding| + |alternating| |upperCase?| |e02ajf| |dual| |OMgetError| |predicates| + |infix| |setelt| |degree| |stiffnessAndStabilityOfODEIF| + |makeGraphImage| |fixedPoint| |stoseInvertibleSetsqfreg| |imagi| + |symmetricSquare| |d01apf| |rightRecip| |colorFunction| + |listConjugateBases| |lexGroebner| |normalDeriv| |symmetric?| |parent| + |normal01| |integer?| |zero?| |copy| |minimalPolynomial| |f04atf| + |nextSublist| |cAsin| |cycleEntry| |topFortranOutputStack| |ldf2vmf| + |shiftRight| |lineColorDefault| |test| |isPlus| + |variationOfParameters| |contractSolve| |reducedForm| |atanhIfCan| + |rightQuotient| |setProperty| |irDef| |irForm| |LiePoly| |droot| + |resetNew| |virtualDegree| |cosh2sech| |hessian| |rotatex| |xCoord| + |palgextint| |OMsupportsCD?| |applyRules| |mapUp!| |updatD| + |factorSquareFreeByRecursion| |mainContent| |primaryDecomp| |setTex!| + |arguments| |rewriteIdealWithHeadRemainder| |curryLeft| + |normalizeAtInfinity| |representationType| |extendedResultant| + |wordInStrongGenerators| |match?| |connect| |quadraticNorm| + |minPoints3D| |kroneckerDelta| |makeFR| |autoCoerce| |fractionPart| + |zeroDimensional?| |OMclose| |e02akf| |upperBound| |close| |exponents| + |s21bbf| |hasPredicate?| |typeLists| |is?| |quasiRegular| + |complexLimit| |mainDefiningPolynomial| |createNormalElement| + |stoseInvertible?reg| |cardinality| |algintegrate| |d01aqf| |remove!| + F |prefix| |curveColor| |radicalEigenvectors| |unitVector| + |alphabetic?| |ran| |display| |equiv| |close!| |symbol?| |vconcat| + |position!| |cyclic| |viewpoint| |cCsc| |recur| |tower| |octon| + |countable?| |OMgetObject| |leftRecip| |eq| |isTimes| |setProperties| + |graphImage| |acothIfCan| |diagonal?| |outputList| |extractProperty| + |factor1| |mindeg| |augment| |iter| |numericIfCan| |systemSizeIF| + |totalGroebner| |cot2trig| |invmultisect| |setFormula!| |edf2ef| + |exponential1| |axesColorDefault| |generalInfiniteProduct| |matrixGcd| + |f04axf| |partialQuotients| |minGbasis| |rightLcm| |irCtor| + |karatsubaDivide| |elaboration| |quickSort| |overset?| |decomposeFunc| + |conditionsForIdempotents| |orbits| |input| |bandedHessian| + |deleteProperty!| |yCoord| |palglimint| |OMsupportsSymbol?| |iroot| + |lexico| |e02baf| |randomR| |library| |complexNumeric| + |primitivePart!| |identity| |setEpilogue!| |remainder| |constantRight| + |complementaryBasis| |symFunc| |subResultantsChain| + |stoseInvertibleSetreg| |checkPrecision| |region| |infinityNorm| + |contract| |reindex| EQ |wholePart| |localUnquote| |fglmIfCan| + |highCommonTerms| |lowerBound| |kernels| |iisqrt2| |optional?| + |tValues| |externalList| |exp| |quasiRegular?| + |createPrimitiveElement| |mainForm| |setLabelValue| |cSec| |operator| + |palgintegrate| |d01asf| |s21bcf| |internalIntegrate0| |level| + |pointColor| |OMsetEncoding| |cosSinInfo| |hexDigit?| |asechIfCan| + |set| |implies| |string?| |subNodeOf?| |hconcat| |eof?| |dihedral| + |limit| |const| |coth2trigh| |ODESolve| |reopen!| |maxdeg| |leftPower| + |isExpt| |groebSolve| |radicalEigenvector| |lepol| |square?| + |extractClosed| |vedf2vef| |OMgetEndApp| |lastSubResultant| |compile| + |complexNumericIfCan| |expressIdealMember| |dimensions| |map| |orbit| + |debug| |multisect| |linkToFortran| |irVar| |symmetricProduct| + |unitsColorDefault| |partialDenominators| |showAll?| + |expenseOfEvaluationIF| |f04faf| |e02bbf| D |leftExtendedGcd| |zCoord| + |chiSquare1| |select!| |heapSort| |divideIfCan!| |unvectorise| + |genericRightDiscriminant| |stoseInvertible?| |jacobian| |prologue| + |monicDivide| |palgRDE| |OMunhandledSymbol| |setAttributeButtonStep| + |ParCond| |mapCoef| |factorSFBRlcUnit| |retract| |nextsubResultant2| + |dictionary| |scaleRoots| |lhs| |headRemainder| |constantLeft| |size?| + |OMmakeConn| |cCot| |lazyPseudoQuotient| |category| |points| |gensym| + |multiple?| |rhs| |typeList| |integral?| |floor| |symbolTableOf| + |convert| |acschIfCan| |iterationVar| |iisqrt3| |d01bbf| |tRange| + |domain| |makeCos| |constant?| |arbitrary| |groebner| |getCode| + |csc2sin| |package| |palginfieldint| |true| |s21bdf| |list?| |width| + |rspace| |clip| |tableForDiscreteLogarithm| |rischDE| |digit?| + |prinshINFO| |show| |merge!| |nodeOf?| |RemainderList| |rightPower| + |inputBinaryFile| |OMputApp| |loopPoints| |permutationGroup| |revert| + |constDsolve| |df2st| |rightUnit| |lastSubResultantElseSplit| |cap| + |linearlyDependent?| |partialNumerators| |e02bcf| |insert| |trace| + |extractIndex| |perfectNthPower?| |OMgetEndAtp| |pointSizeDefault| + |rightCharacteristicPolynomial| |genericRightTraceForm| |testDim| + |radicalEigenvalues| |print| |stoseInvertibleSet| + |setLegalFortranSourceExtensions| |symmetricPower| |rCoord| |delete!| + |addMatchRestricted| |OMUnknownSymbol?| |nthCoef| |principalIdeal| + |resize| |resolve| |charthRoot| |directory| |leftGcd| |exponential| + |epilogue| |palgLODE| |c06ekf| |c06fqf| |accuracyIF| |f04jgf| |cTan| + |lazyPseudoRemainder| |stop| |shiftRoots| |divideExponents| + |roughUnitIdeal?| |intersect| |leastPower| |search| |bubbleSort!| + |pushdown| |infiniteProduct| |selectFiniteRoutines| |dioSolve| + |generic?| |optional| |parametersOf| |sh| |resetAttributeButtons| + |initial| |redmat| |printCode| |csch2sinh| RF2UTS |leadingSupport| + |d01fcf| |brillhartIrreducible?| |dequeue| |eq?| + |factorsOfCyclicGroupSize| |prindINFO| |iExquo| |morphism| |plot| + |pair?| |makeSin| |inverseLaplace| |wordsForStrongGenerators| + |numerator| |difference| |simpleBounds?| |fortranCompilerName| + |unexpand| |vspace| |rewriteIdealWithQuasiMonicGenerators| |basicSet| + |perspective| |escape| |e02bdf| |powmod| |f2st| |updateStatus!| + |derivationCoordinates| |printInfo!| |computeCycleLength| |changeName| + |stoseSquareFreePart| |generalLambert| |isEquiv| |leftUnit| + |perfectNthRoot| |invertibleSet| |leftCharacteristicPolynomial| |sort| + |adaptive| |BasicMethod| |extract!| |reducedContinuedFraction| + |rombergo| |symmetricDifference| |viewPosDefault| |dec| |OMUnknownCD?| + |mathieu12| |semiDiscriminantEuclidean| |binomThmExpt| + |genericLeftDiscriminant| |lazyGintegrate| |useEisensteinCriterion| + |OMputString| |binaryTree| |transcendent?| |c06frf| |f02bjf| + |reduceLODE| |cCos| |conditionP| |associatedEquations| |log10| + |getBadValues| |scanOneDimSubspaces| |dn| |part?| |quartic| |root?| + |bernoulliB| |pushup| |noLinearFactor?| |bitand| |s17aef| + |pseudoQuotient| |splitConstant| |random| |mirror| + |integralCoordinates| |genus| |readable?| |bitior| |ignore?| + |numberOfComponents| |roughEqualIdeals?| |recolor| + |trailingCoefficient| |OMcloseConn| |errorInfo| |coerceListOfPairs| + |totalLex| |biRank| |quotient| |fortranTypeOf| |inputOutputBinaryFile| + |binarySearchTree| |node?| |matrixDimensions| |e01saf| + |rightScalarTimes!| |edf2fi| |setAdaptive3D| |brillhartTrials| + |squareFreeFactors| |imaginary| |maxint| |column| |stopTableGcd!| + |selectODEIVPRoutines| |bytes| |s19aaf| |startStats!| |prem| + |infRittWu?| |setRow!| |setlast!| |removeRedundantFactorsInContents| + |magnitude| |setEmpty!| |depth| |sub| |rightNorm| |unravel| |zoom| + |elaborate| |number?| |linearMatrix| |nextPrimitiveNormalPoly| |hasHi| + |An| |comp| |OMParseError?| |computeCycleEntry| + |exprHasWeightCosWXorSinWX| |readByte!| |cTanh| |mulmod| + |eisensteinIrreducible?| |reverse!| |mvar| |c06fuf| |figureUnits| + |PollardSmallFactor| |hdmpToP| |sinhIfCan| |erf| |isImplies| + |OMputSymbol| |resetBadValues| |viewport3D| |latex| |mathieu22| + |chainSubResultants| |npcoef| |LowTriBddDenomInv| |say| + |quasiMonicPolynomials| |reverse| |simpsono| + |basisOfCommutingElements| |expt| |rootNormalize| |entry| |arg1| + |monomial?| |f02fjf| |singRicDE| |critB| |upDateBranches| |bat| + |power| |edf2df| |composite| |jacobi| + |generalizedContinuumHypothesisAssumed?| |drawComplex| |arg2| + |aLinear| |leaf?| |reset| |coercePreimagesImages| |fortranDouble| + |dilog| |exists?| |computeInt| |ip4Address| |partitions| |printStats!| + Y |yCoordinates| |getZechTable| |antiCommutative?| |e01sbf| |surface| + |inc| |sin| |reverseLex| |zeroDim?| |removeRedundantFactorsInPols| + |endSubProgram| |leftNorm| |normalizeIfCan| |write| |conditions| + |OMconnInDevice| |errorKind| |lift| |startTableInvSet!| |normDeriv2| + |primintfldpoly| |cos| |times!| |adaptive3D?| |fmecg| |isMult| + |seriesSolve| |save| |OMwrite| |match| |binaryFunction| |child?| + |matrixConcat3D| |reduce| |currentScope| |interReduce| |tan| + |selectPDERoutines| |tryFunctionalDecomposition?| |s19abf| |rarrow| + |c06gbf| |elaborateFile| |supRittWu?| |cCosh| |row| |mainExpression| + |cot| |cross| |hasTopPredicate?| |setStatus!| |UnVectorise| |member?| + |getCurve| |rotate| |coshIfCan| |setrest!| |swap| |sec| |linearPart| + |leastAffineMultiple| |c06gsf| |label| |relativeApprox| |rquo| + |findConstructor| |exprHasAlgebraicWeight| |solid| |simplify| + |expintegrate| |csc| |submod| |nthFactor| |elements| + |viewDeltaYDefault| |drawComplexVectorField| |putColorInfo| + |showTheFTable| |critBonD| |setFieldInfo| |univariate?| |asin| |isOr| + |basisOfLeftAnnihilator| |OMgetApp| |tanQ| |expPot| |mathieu23| + |schema| |top| |listRepresentation| |dmpToP| |tab1| |acos| + |trapezoidalo| |expenseOfEvaluation| |showArrayValues| |moebiusMu| + |continue| |sturmVariationsOf| |f02wef| |polyRicDE| |e01sef| |listexp| + |fortranReal| |atan| |sincos| |iprint| |subResultantGcd| |partition| + |clearTable!| |aQuadratic| |outputForm| |stopTableInvSet!| + |preprocess| |coordinate| |acot| |extension| |checkForZero| + |irreducibleFactors| |currentSubProgram| |rightTrace| + |inverseIntegralMatrixAtInfinity| |createZechTable| + |constantToUnaryFunction| |commutative?| |plenaryPower| |asec| + |leftLcm| |inRadical?| |commonDenominator| |exprToXXP| |po| |polCase| + |OMconnOutDevice| |cSinh| |OMReadError?| |constructor| + |pushNewContour| |acsc| |power!| |tryFunctionalDecomposition| + |setScreenResolution3D| |assign| |constant| |c06gcf| |sylvesterMatrix| + |distance| |setelt!| |tanhIfCan| |changeWeightLevel| |sinh| + |selectOptimizationRoutines| |s19acf| |topPredicate| |option| + |Vectorise| |byte| |showSummary| |enumerate| |makeFloatFunction| + |listLoops| |maxColIndex| |htrigs| |minPoly| |delta| |cosh| |dot| + |d01ajf| |setCondition!| |rootOf| |lquo| |dualSignature| + |RittWuCompare| |critMTonD1| |setfirst!| |tanintegrate| |tanh| + |nonLinearPart| |reducedQPowers| |replaceKthElement| |leader| + |viewDeltaXDefault| |solid?| |setRealSteps| |appendPoint| |drawStyle| + |showAttributes| |permanent| |univariatePolynomials| |coth| |addmod| + |basisOfRightAnnihilator| |nthExpon| |callForm?| |qPot| + |exprHasLogarithmicWeights| |mathieu24| |pol| |e01sff| |tab| |sech| + |isAnd| |name| |numberOfOperations| |OMgetAtp| |numberOfDivisors| + |fortran| |null| |lazyVariations| |f02xef| |ricDsolve| + |stosePrepareSubResAlgo| |pToDmp| |external?| |csch| |sup| |body| + |elem?| |showScalarValues| |complete| |not| |usingTable?| |aCubic| + |argscript| |tubePlot| |characteristicPolynomial| |subst| |conjugates| + |asinh| |lazyIrreducibleFactors| |sinhcosh| |signature| |resultant| + |newSubProgram| |and| |leftTrace| |zeroOf| |createMultiplicationTable| + |cAcsc| |internalZeroSetSplit| |c02aff| BY |acosh| |shallowExpand| + |logGamma| |clearDenominator| |exprToUPS| |or| + |integralMatrixAtInfinity| |OMread| |identityMatrix| |OMconnectTCP| + |cothIfCan| |int| |findBinding| |lambda| |atanh| |rightExtendedGcd| + |btwFact| |in?| |slash| |xor| |c06gqf| |bezoutMatrix| |distFact| + |minColIndex| |simplifyExp| |characteristicSerie| |acoth| |just| + |setTopPredicate| |screenResolution3D| |setPoly| |case| |critMonD1| + |setOfMinN| |unaryFunction| |nodes| |cycleSplit!| |Is| |freeOf?| + |objects| |asech| |selectIntegrationRoutines| |d01akf| |s19adf| + |allRootsOf| |denominators| |Zero| |c06ecf| |mindegTerm| + |mainMonomials| |closed?| |cycles| |qelt| |primextendedint| |base| + |scan| |incrementKthElement| |setValue!| |viewZoomDefault| |One| + |coerceP| |setImagSteps| |qsetelt| |outlineRender| |xn| |e02adf| + |linear?| |multiple| |basisOfLeftNucleus| |quadratic?| + |combineFeatureCompatibility| |rootOfIrreduciblePoly| |getIdentifier| + |numer| |component| |lookup| |sylvesterSequence| |retractIfCan| + |stoseInternalLastSubResultant| |assert| |xRange| |linear| |lex| + |edf2efi| |applyQuote| |symmetricRemainder| |port| |sumOfDivisors| + |makeMulti| |denom| |pattern| NOT |exponentialOrder| |content| |host| + |janko2| |realEigenvalues| |yRange| |isNot| |notelem| |OMgetAttr| + |pole?| |cAsec| OR |f04adf| |printingInfo?| |internalAugment| + |maxrank| |zRange| |polynomial| |imagE| |t| |point| + |removeIrreducibleRedundantFactors| |solveRetract| + |clearTheSymbolTable| |pi| AND |mapExponents| |someBasis| + |triangulate| |aQuartic| |map!| |sechIfCan| |subresultantVector| + |beauzamyBound| |discriminant| |exprToGenUPS| |infinity| |elt| + |rootsOf| |OMreadFile| |qsetelt!| |superscript| |zeroMatrix| + |simplifyLog| |hypergeometric0F1| |deepExpand| |patternVariable| + |over| |message| |ptree| |product| |inverseIntegralMatrix| + |createMultiplicationMatrix| |redPo| |maxRowIndex| |cond| |rightGcd| + |series| |element?| |d01alf| |exponent| |setClipValue| + |identification| |OMbindTCP| |cycle| |concat!| |gradient| + |setMaxPoints3D| |cdr| |kernel| |definingPolynomial| + |compiledFunction| |rename| |numerators| |e02aef| + |basisOfRightNucleus| |routines| |s20acf| |shift| |list| + |viewPhiDefault| |dAndcExp| |mainCoefficients| |clearCache| |open?| + |stoseIntegralLastSubResultant| |script| |currentEnv| |graphCurves| + |dfRange| |status| |draw| |variable?| |powerSum| |completeEval| + |diagonals| |sturmSequence| |acsch| |previous| |changeNameToObjf| + |min| |write!| |logpart| |sumOfKthPowerDivisors| |sparsityIF| |ranges| + |cAcot| |realEigenvectors| |cons| |OMgetBind| |normalForm| + |listBranches| |trueEqual| |cschIfCan| |rubiksGroup| + |possiblyInfinite?| |tex| |aromberg| |makeTerm| |interpretString| + |showTheSymbolTable| * |f04arf| |minrank| |linearAssociatedLog| + |expandPower| |compose| |bombieriNorm| |mainVariable| |makeObject| + |localAbs| |basisOfCenter| |solveInField| |radicalSolve| |hMonic| + |leaves| |realRoots| |withPredicates| |pseudoRemainder| |zag| |coef| + |mappingAst| |initializeGroupForWordProblem| |alphabetic| + |numericalOptimization| |rotatez| |d01amf| |exQuo| |f02agf| = + |shallowCopy| |e02agf| |minRowIndex| |stopMusserTrials| + |fractionFreeGauss!| |plusInfinity| |zeroDimPrime?| |car| |positive?| + |balancedBinaryTree| |diophantineSystem| |stoseLastSubResultant| + |cycleTail| |source| |minusInfinity| |changeMeasure| + |basisOfMiddleNucleus| |maxPoints3D| |viewThetaDefault| + |nonSingularModel| |flagFactor| < |convergents| |lowerPolynomial| + |scalarTypeOf| |ode| |getConstant| |symbolIfCan| > |writeBytes!| + |repSq| |cAtan| |numeric| |shuffle| |makeVariable| |groebner?| + |factorset| |HermiteIntegrate| |minimumExponent| <= |seed| |radical| + |c02agf| |boundOfCauchy| |asinhIfCan| |modularGcdPrimitive| |s14aaf| + |setMinPoints| |triangular?| |char| |stirling1| >= |monicModulo| + |halfExtendedResultant2| |expandLog| |contours| |selectfirst| |s18acf| + |curve?| |printTypes| |expr| |stronglyReduced?| |clipSurface| + |characteristicSet| |target| |type| |asimpson| |singularitiesOf| + |besselI| |universe| |rootRadius| |iiacot| |mat| |univariate| + |KrullNumber| |operators| |addiag| |createNormalPrimitivePoly| + |intcompBasis| |postfix| |GospersMethod| |lfextendedint| + + |alternative?| |cAcoth| |expextendedint| |leadingTerm| |mapGen| + |ReduceOrder| |moebius| - |alternatingGroup| + |semiLastSubResultantEuclidean| |OMencodingBinary| |cscIfCan| + |linearPolynomials| |rules| |goodnessOfFit| |OMputEndError| |sample| + |frst| |f02ajf| |variable| / |leadingCoefficientRicDE| |cyclic?| + |factor| |slex| |invertIfCan| |s14abf| |left| |cyclicSubmodule| + |quasiMonic?| |tail| |byteBuffer| |iterators| |float| |csubst| + |numberOfChildren| |sqrt| |ridHack1| |fortranCarriageReturn| + |changeThreshhold| |curve| |noKaratsuba| |iiasech| |right| + |algSplitSimple| |sqfrFactor| |factorGroebnerBasis| |real| + |laurentRep| |shufflein| |mpsode| |rootProduct| |innerint| |palgRDE0| + |derivative| |argument| |writeUInt8!| |coerceImages| |imag| |c05adf| + |finiteBound| |polynomialZeros| |groebnerIdeal| |Lazard2| + |directProduct| |maximumExponent| |rational| |weights| |e01baf| + |structuralConstants| |certainlySubVariety?| |modularGcd| |choosemon| + |minPoints| |fintegrate| |stirling2| |lazyPseudoDivide| |readInt32!| + |removeSuperfluousQuasiComponents| |medialSet| |rootDirectory| + |makeprod| |s18adf| |setref| |leftRegularRepresentation| |neglist| + |reduced?| |showClipRegion| |laguerre| |brace| |exportedOperators| + |mainKernel| |atrapezoidal| |besselK| |rationalFunction| |overbar| + |schwerpunkt| |lflimitedint| |cAtanh| |normalizedAssociate| |destruct| + |anfactor| |primlimitedint| |lazyIntegrate| + |createPrimitiveNormalPoly| |numberOfFactors| |exprex| + |nextSubsetGray| |bivariate?| |subResultantGcdEuclidean| |asinIfCan| + |numberOfVariables| |value| |digits| |overlap| |OMputEndObject| + |insertMatch| |monic?| |constantCoefficientRicDE| |abelianGroup| GE + |flexible?| |complexNormalize| |univcase| |inverse| |sum| + |whatInfinity| |mapExpon| |s14baf| |iiacsch| |id| |f02akf| |children| + GT |unknownEndian| |OMencodingSGML| |fortranLiteral| + |toseSquareFreePart| |copy!| |standardBasisOfCyclicSubmodule| |point?| + |palgLODE0| |lo| |unary?| |groebnerFactorize| |particularSolution| LE + |lazyEvaluate| |monomial| |sequences| |clikeUniv| + |selectMultiDimensionalRoutines| |rootSimp| |karatsubaOnce| + |nextsousResultant2| |symbol| |hyperelliptic| |primeFactor| |lp| + |fixedPoints| LT |multivariate| |interpolate| |eigenvectors| |c05nbf| + UP2UTS |exteriorDifferential| |f2df| |rightTraceMatrix| |expression| + |constantKernel| |e01bef| |writeInt8!| |variables| |rationalPower| + |ksec| |coordinates| |sortConstraints| |ideal| |transform| |prime| + |integer| |constantOperator| |rowEch| |rational?| |subCase?| + |condition| |Hausdorff| |possiblyNewVariety?| |reduction| + |extensionDegree| |s18aef| |deref| |coerceL| |summation| + |lazyPremWithDefault| |differentialVariables| |multiEuclidean| + |distribute| |bumprow| |insertBottom!| |property| |parametric?| + |taylorIfCan| |macroExpand| |deepestInitial| |alphanumeric| + |normalized?| |showRegion| |readUInt16!| |cAcosh| |interpret| + |explimitedint| |romberg| |bright| |modularFactor| |airyAi| + |specialTrigs| |index| |makeRecord| |setErrorBound| |rangeIsFinite| + |legendre| |acosIfCan| |fortranCharacter| |bivariatePolynomials| + |nlde| |nextIrreduciblePoly| |addMatch| |chineseRemainder| |open| + |firstSubsetGray| |lfinfieldint| |normalize| |complexElementary| + |taylor| |maxrow| |continuedFraction| |cn| |hcrf| |eval| |s15adf| + |OMputInteger| |resultantnaif| |credPol| |cyclicGroup| + |semiSubResultantGcdEuclidean2| |algebraicDecompose| |laurent| + |fortranLiteralLine| |consnewpol| |infinite?| |commutativeEquality| + |enterPointData| |argumentListOf| |pair| |rightAlternative?| |f02awf| + |odd?| |changeVar| |puiseux| |initTable!| |permutations| + |quotedOperators| |plus!| |ef2edf| |areEquivalent?| |sn| + |leftTraceMatrix| |mapSolve| |child| |lazy?| |e01bff| |c05pbf| + |weierstrass| |error| |selectNonFiniteRoutines| |lists| |pack!| + |karatsuba| |quote| |nullary?| |operations| |elliptic| |inv| + |OMencodingXML| |removeSuperfluousCases| |factorAndSplit| |bounds| + UTS2UP |totalDifferential| |ref| |coerceS| |extendedEuclidean| + |nthFlag| |constantIfCan| |ground?| |nullSpace| |vark| |Frobenius| + |sumOfSquares| |leadingIdeal| |removeZeroes| |iteratedInitials| + |ground| |rowEchLocal| |rationalIfCan| |cAsinh| |dominantTerm| + |functionIsFracPolynomial?| |probablyZeroDim?| |signAround| + |useSingleFactorBound?| |plotPolar| |localReal?| |factorials| + |extractBottom!| |vector| |primextintfrac| |writeByte!| + |leadingMonomial| |atanIfCan| |optimize| |bumptab| |disjunction| + |s18aff| |getMatch| |divisors| |readInt16!| |differentiate| |lazyPquo| + |quasiComponent| |leadingCoefficient| |trigs| |fortranDoubleComplex| + |removeRoughlyRedundantFactorsInPols| |simpson| |s15aef| |airyBi| + |resultantEuclideannaif| |size| |startPolynomial| |redPol| + |hitherPlane| |dmpToHdmp| |primitiveMonomials| |tableau| |light| + |powern| |nextPrimitivePoly| |composites| |returnTypeOf| + |functionIsContinuousAtEndPoints| |clipPointsDefault| |function| + |outputArgs| |substring?| |even?| |reductum| |nsqfree| |hclf| + |rightRank| |leftMult| |bottom!| |rightDiscriminant| |lfintegrate| + |dihedralGroup| |e01bgf| |transcendentalDecompose| |rur| |finite?| + |ocf2ocdf| |OMputFloat| |supersub| |f02axf| |suffix?| + |semiSubResultantGcdEuclidean1| + |generalizedContinuumHypothesisAssumed| |prepareDecompose| |qqq| + |minus!| |isAbsolutelyIrreducible?| |taylorRep| |monomialIntegrate| + |frobenius| |quadratic| |ratDsolve| |euclideanSize| |leftAlternative?| + |rightOne| |selectSumOfSquaresRoutines| |useSingleFactorBound| + |separate| |crushedSet| |deepestTail| |generator| + |integralDerivationMatrix| |categories| |birth| |prefix?| |cCsch| + |explicitlyEmpty?| |removeConstantTerm| |rem| |precision| LODO2FUN + |homogeneous?| |failed?| |rischNormalize| |nthExponent| |kovacic| + |OMencodingUnknown| |acotIfCan| |selectPolynomials| |quo| |increase| + |backOldPos| |s17acf| |eulerPhi| |rowEchelonLocal| |setvalue!| + |nullity| |real?| |bumptab1| |init| |splitLinear| |debug3D| + |components| |semiResultantEuclideannaif| |mkcomm| |isOpen?| |gbasis| + |limitPlus| |fortranComplex| |div| |invmod| |doubleRank| |s18dcf| + |printHeader| |node| |lazyPrem| |initials| |setright!| + |numberOfCycles| |pastel| |exquo| |conjunction| |socf2socdf| + |subNode?| |leftDiscriminant| |cycleElt| |eyeDistance| |extractTop!| + |e01bhf| |flatten| |intChoose| ~= |delete| |trapezoidal| + |nextNormalPoly| |closed| |presuper| |functionIsOscillatory| + |drawToScale| |infix?| |readUInt8!| |branchIfCan| |create| |#| |rank| + |mapdiv| |rightMult| |univariatePolynomialsGcds| |computePowers| |lcm| + |mask| |c06eaf| |lfextlimint| |mathieu11| |sizeLess?| |hdmpToDmp| |mr| + |integralBasis| ~ |writable?| |OMputVariable| |factorSquareFree| + |head| |high| |f02bbf| |discriminantEuclidean| |cSech| + |normInvertible?| |leftOne| |pureLex| |useEisensteinCriterion?| + |meatAxe| |realElementary| |incr| |append| + |indicialEquationAtInfinity| |cubic| |asecIfCan| |internalDecompose| + |mkPrim| |leftScalarTimes!| |optpair| |pseudoDivide| |fibonacci| |hi| + |integralRepresents| |gcd| |internal?| |antiAssociative?| + |complexForm| |selectOrPolynomials| |/\\| |leadingBasisTerm| |s17adf| + |pdct| |insertRoot!| |laplace| |false| |critT| |omError| |untab| |\\/| + |stFunc1| |generalPosition| |numberOfComposites| |returnType!| + |normalizedDivide| |setchildren!| |explicitEntries?| |cyclePartition| + |fortranLogical| |var1Steps| |weakBiRank| |numFunEvals3D| |bigEndian| + |tanSum| |polarCoordinates| |pquo| |e01daf| |rowEchelon| |dark| + |unparse| |any| |df2fi| |s18def| |represents| |musserTrials| + |setleft!| |startTableGcd!| |coefChoose| |outerProduct| |integral| + |bothWays| |infLex?| |presub| |iidsum| |qinterval| |setColumn!| + |split!| |enterInCache| |numericalIntegration| + |nextNormalPrimitivePoly| |removeRoughlyRedundantFactorsInContents| + |pow| |equation| |coerce| |indiceSubResultantEuclidean| |headReduce| + |simplifyPower| |readInt8!| |localIntegralBasis| |integers| |makeUnit| + |henselFact| |ravel| |mdeg| |construct| |multiEuclideanTree| |diff| + |cCoth| |normFactors| |rightZero| |log2| |reshape| |makeViewport3D| + |HenselLift| |addPointLast| |pToHdmp| |acscIfCan| |intPatternMatch| + |horizConcat| |dmp2rfi| |monicRightFactorIfCan| |validExponential| + |decreasePrecision| |firstNumer| |decompose| |UpTriBddDenomInv| + |selectAndPolynomials| |evaluate| |distdfact| |f07aef| |rule| + |harmonic| |declare| |f02aaf| |leftDivide| |associative?| |critM| + |bat1| |recoverAfterFail| |mapMatrixIfCan| |lllip| |powers| |exptMod| + |scalarMatrix| |algebraic?| |fortranInteger| |stFunc2| |rootPower| + |adaptive?| |argumentList!| |leftRank| |generate| |top!| + |exactQuotient!| |has?| |fillPascalTriangle| |getSyntaxFormsFromFile| + |var2Steps| |branchPoint?| |s17dcf| |littleEndian| |update| + |finiteBasis| |monomialIntPoly| |viewport2D| |shanksDiscLogAlgorithm| + |badValues| |myDegree| |binary| |linGenPos| |digamma| |mergeFactors| + |iisec| |incrementBy| |entry?| + |rewriteSetByReducingWithParticularGenerators| |thenBranch| |d02gaf| + |currentCategoryFrame| |primitiveElement| |bfKeys| |weighted| |parts| + |loadNativeModule| |expand| |interval| |fractRagits| |bernoulli| + |moreAlgebraic?| |qualifier| |rk4| |numberOfPrimitivePoly| + |userOrdered?| |genericLeftNorm| |blankSeparate| |filterWhile| + |iidprod| |semiIndiceSubResultantEuclidean| |commutator| |squareFree| + |leftZero| |oddintegers| |gcdprim| |OMputEndApp| |e02zaf| |torsion?| + |log| |filterUntil| |algDsolve| |stronglyReduce| |att2Result| + |replace| |primintegrate| |rationalApproximation| |setDifference| + |se2rfi| |e04ycf| |numberOfImproperPartitions| |position| + |complexZeros| |select| |typeForm| |addPoint2| + |noncommutativeJordanAlgebra?| |complexIntegrate| |iicoth| |conjug| + |f07fdf| |symmetricTensors| |countRealRoots| |keys| |properties| + |increasePrecision| |completeHensel| |OMgetFloat| |logIfCan| + |principalAncestors| |squareTop| |symbolTable| |mesh?| + |rightFactorIfCan| |whileLoop| |taylorQuoByVar| |lyndonIfCan| + |rightDivide| |firstDenom| |direction| |translate| |buildSyntax| + |separateDegrees| |branchPointAtInfinity?| |showTheRoutinesTable| + |result| |length| |noValueMode| |denominator| |meshPar2Var| |f02abf| + |safeCeiling| |whitePoint| |doubleComplex?| |pushFortranOutputStack| + |mapBivariate| |stFuncN| |groebgen| |scripts| |quatern| |cot2tan| + |exactQuotient| |hermite| |retractable?| |terms| |pushuconst| |space| + |popFortranOutputStack| |setScreenResolution| |rdHack1| + |removeDuplicates| |nilFactor| |principal?| |getPickedPoints| + |comparison| |d02gbf| |padecf| |packageCall| |outputAsFortran| + |s17def| |largest| |semicolonSeparate| |coefficient| |iicsc| |indices| + |reflect| |subTriSet?| |prepareSubResAlgo| |nextPrime| |gcdcofact| + |polygamma| |equality| |e04dgf| |unit?| |wholeRagits| + |generalizedInverse| |linearlyDependentOverZ?| |tubePointsDefault| + |inspect| |rk4a| |bindings| |pr2dmp| |parabolicCylindrical| |subSet| + |ipow| |degreeSubResultant| |iflist2Result| |chebyshevT| |getProperty| + |subset?| |iisech| |mapmult| |numberOfNormalPoly| |f07fef| + |genericLeftTrace| |zero| |denomLODE| |rewriteSetWithReduction| + |dimensionOfIrreducibleRepresentation| |associator| + |internalIntegrate| |relerror| |setIntersection| |mesh| |torsionIfCan| + |coth2tanh| |divisorCascade| |addPoint| |sinIfCan| |upperCase!| + |mainVariable?| |rationalPoint?| |adjoint| |regularRepresentation| + |OMputEndAtp| |f01brf| |And| |bits| |multMonom| |jordanAdmissible?| + |createThreeSpace| |solve| |totolex| |elRow1!| |tensorProduct| + |commaSeparate| |SturmHabichtMultiple| |Or| |hermiteH| + |compactFraction| |safeFloor| |OMgetVariable| |bezoutDiscriminant| + |nand| |deleteRoutine!| |midpoint| |leftFactorIfCan| |e04fdf| |Not| + |lyndon| |meshFun2Var| |f02adf| |c06ebf| |ListOfTerms| |complex?| + |inGroundField?| |fixedPointExquo| |setLength!| |more?| |forLoop| + |unrankImproperPartitions0| |d02kef| |primPartElseUnitCanonical!| + |completeHermite| |low| |uniform| |pade| |insertTop!| |tubePoints| + |trace2PowMod| |gcdcofactprim| |arrayStack| |jokerMode| |factorial| + |colorDef| |subPolSet?| |squareFreePart| |numberOfMonomials| + |innerSolve1| |fullDisplay| |hasoln| |iicsch| |imagK| |iiasin| + |divisor| |reify| |linearDependenceOverZ| |internalLastSubResultant| + |prevPrime| |s01eaf| |screenResolution| |find| |clearTheFTable| + |remove| |associates?| |index?| |pdf2ef| |imports| |tubeRadiusDefault| + |rk4qc| |s17dgf| |polygon?| |resultantReduit| |coHeight| + |degreeSubResultantEuclidean| |radix| |irreducibleRepresentation| + |chebyshevU| |scopes| |stack| |deriv| |absolutelyIrreducible?| |Gamma| + |nary?| |removeCosSq| |last| |indicialEquations| |autoReduced?| + |complexEigenvalues| |cosIfCan| |infieldIntegrate| |complexSolve| + |createIrreduciblePoly| |minPol| |paraboloidal| |traceMatrix| |assoc| + |graeffe| |merge| |upperCase| |cyclicParents| |mainVariables| |arity| + |setUnion| |midpoints| |genericLeftMinimalPolynomial| |pile| + |unitNormalize| |build| |lieAdmissible?| |safetyMargin| + |triangularSystems| |elRow2!| |OMputEndAttr| |setVariableOrder| + |e04gcf| |getGoodPrime| |c06fpf| |laguerreL| |partialFraction| + |OMgetString| |PDESolve| |double?| |formula| |lintgcd| + |getExplanations| |f01bsf| |permutationRepresentation| |dim| + |unrankImproperPartitions1| |meshPar1Var| |f02aef| |lyndon?| |d02raf| + |root| |ode1| |ParCondList| |monicDecomposeIfCan| |setButtonValue| + |countRealRootsMultiple| |primPartElseUnitCanonical| |smith| + |binomial| |internalSubPolSet?| |multiset| |getButtonValue| |capacity| + |s13aaf| |binaryTournament| |iiasinh| |useNagFunctions| |intensity| + |BumInSepFFE| |solveLinearlyOverQ| |integralLastSubResultant| + |tubeRadius| |tracePowMod| |polygon| |sin?| |fTable| + |balancedFactorisation| |entries| |functorData| |pdf2df| |dimension| + |nrows| |innerSolve| |relationsIdeal| |computeBasis| GF2FG + |resultantReduitEuclidean| |iiacos| |randnum| |sequence| |checkRur| + |oneDimensionalArray| |ncols| |primes| |setMaxPoints| |realZeros| + |imagJ| |removeSinSq| |multinomial| |unitCanonical| |cyclotomic| + |tanIfCan| |eigenvalues| |rk4f| |s17dhf| |getVariableOrder| + |clipParametric| |randomLC| |semiDegreeSubResultantEuclidean| + |initiallyReduced?| |complexEigenvectors| |cyclicEqual?| + |limitedIntegrate| |gderiv| |hex| |besselJ| |paren| |extendIfCan| + |pleskenSplit| |indicialEquation| |sumSquares| |lowerCase!| + |removeSquaresIfCan| |complexRoots| |createPrimitivePoly| |redpps| + |ellipticCylindrical| |e04jaf| |leadingIndex| |deepCopy| + |jacobiIdentity?| |leftFactor| |nativeModuleExtension| |elColumn2!| + |substitute| |s13acf| |leftRankPolynomial| |subresultantSequence| + |setleaves!| |gcdPrimitive| |d03edf| |OMgetSymbol| |ffactor| + |getDatabase| |OMputEndBind| |closedCurve?| |iiacosh| |badNum| |unit| + |f02aff| |numberOfComputedEntries| |internalInfRittWu?| |obj| + |quotientByP| |getMeasure| |problemPoints| |completeEchelonBasis| + |palgint0| |f01maf| |legendreP| |completeSmith| |df2ef| |poisson| + |mergeDifference| |cache| |expintfldpoly| |nil| |ode2| |coord| + |monicCompleteDecompose| |semiResultantReduitEuclidean| |signatureAst| + |rationalPoints| |ptFunc| |cAcsch| |multiplyExponents| + |toseLastSubResultant| |roughBasicSet| |decrease| |irreducible?| + |mainCharacterization| |zeroVector| |removeCoshSq| |separant| |key?| + |lazyResidueClass| |isQuotient| |cotIfCan| |crest| |weight| |minimize| + |saturate| |resetVariableOrder| FG2F |second| |reseed| |lighting| + |readBytes!| |cyclicEntries| |eigenvector| |operation| |approximate| + |every?| |makeEq| |maxPoints| |bracket| |imagI| |third| |before?| + |permutation| |euclideanNormalForm| |euler| |extendedIntegrate| |void| + |complex| |selectsecond| |s17dlf| |B1solve| |clipWithRanges| |iiatanh| + |iiatan| |headReduced?| |isConnected?| |rightFactorCandidate| + |unprotectedRemoveRedundantFactors| |s13adf| |besselY| |palgextint0| + |algebraicVariables| |reciprocalPolynomial| |unitNormal| |d03eef| + |lowerCase| |hostByteOrder| |isPower| |createNormalPoly| + |systemCommand| |closedCurve| |prolateSpheroidal| |divide| + |powerAssociative?| |leadingExponent| |lastSubResultantEuclidean| + |height| |internalSubQuasiComponent?| |qfactor| |FormatArabic| + |zerosOf| |OMputEndBVar| |generic| |removeSinhSq| |denomRicDE| + |symmetricGroup| |fi2df| |OMgetType| |moduloP| |failed| + |showAllElements| |anticoord| |duplicates?| |module| |mix| |cAsech| + |rst| |squareFreePrim| |shellSort| |f01mcf| |normal| |algebraicOf| + |createRandomElement| |prod| |table| |bandedJacobian| |f01qcf| + |secIfCan| |geometric| |toseInvertible?| |OMreceive| |lifting| + |prime?| |divideIfCan| |pop!| |new| |LazardQuotient2| |push!| + |cyclicCopy| |laurentIfCan| |cfirst| |twist| |decimal| |any?| + |zeroSquareMatrix| |mainMonomial| |identitySquareMatrix| |getGraph| + |isobaric?| |euclideanGroebner| |generalizedEigenvector| |ceiling| + |iiacoth| F2FG |iiexp| |explogs2trigs| |readUInt32!| |measure| + |varselect| |clipBoolean| |integralAtInfinity?| |linearDependence| + |palglimint0| |conjugate| |bitLength| |queue| |d03faf| |fixedDivisor| + |removeRedundantFactors| |increment| |lexTriangular| |OMputAtp| + |numberOfHues| |Lazard| |comment| |yellow| |max| |connectTo| + |subQuasiComponent?| |hostPlatform| |ScanArabic| |center| |rischDEsys| + |eigenMatrix| |expandTrigProducts| |zeroSetSplitIntoTriangularSystems| + |showTheIFTable| |zeroSetSplit| |UP2ifCan| |rroot| |generalTwoFactor| + |move| |oblateSpheroidal| |rightRegularRepresentation| |bipolar| + |extractPoint| |OMgetEndAttr| |thetaCoord| |modulus| |delay| |cup| + |intermediateResultsIF| |rightUnits| |overlabel| |fracPart| + |leftUnits| |directSum| |endOfFile?| |compdegd| |next| |outputSpacing| + |genericPosition| |idealiser| |lifting1| |doubleDisc| + |degreePartition| |chiSquare| |leftExactQuotient| |polyred| |matrix| + |printInfo| |toseInvertibleSet| |OMsend| |LagrangeInterpolation| + |regime| |duplicates| |f01qdf| |quoted?| |unmakeSUP| |sts2stst| + |setsubMatrix!| |f04maf| |s17aff| |evenInfiniteProduct| |sec2cos| + |key| |LazardQuotient| |minordet| |newLine| |d01gaf| + |generalizedEigenvectors| |norm| |insertionSort!| |create3Space| + |printStatement| |fprindINFO| |lookupFunction| |putGraph| |shrinkable| + |atom?| |kmax| |integrate| |doublyTransitive?| |sizeMultiplication| + |getStream| |strongGenerators| |filename| |iilog| |trigs2explogs| + |pointPlot| |shape| |style| |integralBasisAtInfinity| |solveLinear| + |e02bef| |quadraticForm| |bitCoef| |nthRoot| |ldf2lst| + |fortranLinkerArgs| |iiGamma| |charpol| |squareFreeLexTriangular| + |OMputAttr| |ord| |coleman| |parse| |iifact| |resultantEuclidean| + |approxNthRoot| |extractSplittingLeaf| |hspace| |qroot| |monomRDE| + |normalise| |bag| |evenlambert| |clearTheIFTable| |reduceByQuasiMonic| + |rightMinimalPolynomial| |phiCoord| |one?| |digit| |FormatRoman| + |push| |generalSqFr| |pomopo!| |units| |super| |bipolarCylindrical| + |traverse| |OMgetEndBind| |readIfCan!| |invertible?| |findCycle| + |wreath| |modifyPointData| |genericLeftTraceForm| |cSin| |polyPart| + |compBound| |factorOfDegree| + |solveLinearPolynomialEquationByFractions| |viewSizeDefault| + |outputGeneral| |subscriptedVariables| |lfunc| + |solveLinearPolynomialEquation| |reducedDiscriminant| |f01qef| + |leftRemainder| |inR?| |factorFraction| |sncndn| |OMserve| + |idealiserMatrix| |psolve| |eulerE| |sech2cosh| |removeDuplicates!| + |padicFraction| |d01gbf| |makeSUP| |pmComplexintegrate| |subMatrix| + |f04mbf| |sqfree| |prinpolINFO| |oddInfiniteProduct| + |subResultantChain| |determinant| |copies| |null?| |roughSubIdeal?| + |code| |mightHaveRoots| |s17agf| |check| |block| |generators| + |encodingDirectory| |graphs| |physicalLength!| |youngDiagram| |empty| + |knownInfBasis| |multiplyCoefficients| |getRef| |outputAsScript| + |e02daf| |options| |iisin| |swap!| |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) ((-102) -3803 (|has| |#1| (-1125)) (|has| |#1| (-102))) ((-626 (-880)) -3803 (|has| |#1| (-1125)) (|has| |#1| (-626 (-880)))) ((-320 |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125))) ((-502 |#1|) . T) ((-527 |#1| |#1|) -12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125))) ((-1125) |has| |#1| (-1125)) ((-1242) . 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T) ((-23) . T) ((-25) . T) ((-38 #0=(-420 (-577))) -3803 (|has| |#1| (-361)) (|has| |#1| (-375))) ((-38 |#1|) . T) ((-38 $) -3803 (|has| |#1| (-569)) (|has| |#1| (-361)) (|has| |#1| (-375)) (|has| |#1| (-318))) ((-35) |has| |#1| (-1227)) ((-95) |has| |#1| (-1227)) ((-102) . T) ((-111 #0# #0#) -3803 (|has| |#1| (-361)) (|has| |#1| (-375))) ((-111 |#1| |#1|) . T) ((-111 $ $) . T) ((-132) . T) ((-146) -3803 (|has| |#1| (-361)) (|has| |#1| (-146))) ((-148) |has| |#1| (-148)) ((-629 #0#) -3803 (|has| |#1| (-1063 (-420 (-577)))) (|has| |#1| (-361)) (|has| |#1| (-375))) ((-629 (-577)) . T) ((-629 |#1|) . T) ((-629 $) -3803 (|has| |#1| (-569)) (|has| |#1| (-361)) (|has| |#1| (-375)) (|has| |#1| (-318))) ((-626 (-880)) . T) ((-174) . T) ((-627 (-171 (-228))) |has| |#1| (-1047)) ((-627 (-171 (-391))) |has| |#1| (-1047)) ((-627 (-549)) |has| |#1| (-627 (-549))) ((-627 (-911 (-391))) |has| |#1| (-627 (-911 (-391)))) ((-627 (-911 (-577))) |has| |#1| (-627 (-911 (-577)))) ((-627 #1=(-1197 |#1|)) . 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T) ((-915 $ #3=(-1201)) -3803 (|has| |#1| (-923 (-1201))) (|has| |#1| (-921 (-1201)))) ((-921 (-1201)) |has| |#1| (-921 (-1201))) ((-923 #3#) -3803 (|has| |#1| (-923 (-1201))) (|has| |#1| (-921 (-1201)))) ((-905 (-391)) |has| |#1| (-905 (-391))) ((-905 (-577)) |has| |#1| (-905 (-577))) ((-903 |#1|) . T) ((-932) -12 (|has| |#1| (-318)) (|has| |#1| (-932))) ((-943) -3803 (|has| |#1| (-361)) (|has| |#1| (-375)) (|has| |#1| (-318))) ((-1027) -12 (|has| |#1| (-1027)) (|has| |#1| (-1227))) ((-1063 (-420 (-577))) |has| |#1| (-1063 (-420 (-577)))) ((-1063 (-577)) |has| |#1| (-1063 (-577))) ((-1063 |#1|) . T) ((-1076 #0#) -3803 (|has| |#1| (-361)) (|has| |#1| (-375))) ((-1076 |#1|) . T) ((-1076 $) . T) ((-1081 #0#) -3803 (|has| |#1| (-361)) (|has| |#1| (-375))) ((-1081 |#1|) . T) ((-1081 $) . T) ((-1074) . T) ((-1083) . T) ((-1137) . T) ((-1125) . T) ((-1177) |has| |#1| (-361)) ((-1227) |has| |#1| (-1227)) ((-1230) |has| |#1| (-1227)) ((-1242) . 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T) ((-23) . T) ((-25) . T) ((-38 #0=(-420 (-577))) -2811 (|has| |#1| (-361)) (|has| |#1| (-375))) ((-38 |#1|) . T) ((-38 $) -2811 (|has| |#1| (-569)) (|has| |#1| (-361)) (|has| |#1| (-375)) (|has| |#1| (-318))) ((-35) |has| |#1| (-1227)) ((-95) |has| |#1| (-1227)) ((-102) . T) ((-111 #0# #0#) -2811 (|has| |#1| (-361)) (|has| |#1| (-375))) ((-111 |#1| |#1|) . T) ((-111 $ $) . T) ((-132) . T) ((-146) -2811 (|has| |#1| (-361)) (|has| |#1| (-146))) ((-148) |has| |#1| (-148)) ((-629 #0#) -2811 (|has| |#1| (-1063 (-420 (-577)))) (|has| |#1| (-361)) (|has| |#1| (-375))) ((-629 (-577)) . T) ((-629 |#1|) . T) ((-629 $) -2811 (|has| |#1| (-569)) (|has| |#1| (-361)) (|has| |#1| (-375)) (|has| |#1| (-318))) ((-626 (-880)) . T) ((-174) . T) ((-627 (-171 (-228))) |has| |#1| (-1047)) ((-627 (-171 (-391))) |has| |#1| (-1047)) ((-627 (-549)) |has| |#1| (-627 (-549))) ((-627 (-911 (-391))) |has| |#1| (-627 (-911 (-391)))) ((-627 (-911 (-577))) |has| |#1| (-627 (-911 (-577)))) ((-627 #1=(-1197 |#1|)) . T) ((-235 $) -2811 (|has| |#1| (-361)) (|has| |#1| (-238)) (|has| |#1| (-239))) ((-233 |#1|) . T) ((-239) -2811 (|has| |#1| (-361)) (|has| |#1| (-239))) ((-238) -2811 (|has| |#1| (-361)) (|has| |#1| (-238)) (|has| |#1| (-239))) ((-273 |#1|) . T) ((-249) -2811 (|has| |#1| (-361)) (|has| |#1| (-375))) ((-295) |has| |#1| (-1227)) ((-297 |#1| $) |has| |#1| (-297 |#1| |#1|)) ((-301) -2811 (|has| |#1| (-569)) (|has| |#1| (-361)) (|has| |#1| (-375)) (|has| |#1| (-318))) ((-318) -2811 (|has| |#1| (-361)) (|has| |#1| (-375)) (|has| |#1| (-318))) ((-320 |#1|) |has| |#1| (-320 |#1|)) ((-375) -2811 (|has| |#1| (-361)) (|has| |#1| (-375))) ((-415) |has| |#1| (-361)) ((-380) -2811 (|has| |#1| (-380)) (|has| |#1| (-361))) ((-361) |has| |#1| (-361)) ((-382 |#1| #1#) . T) ((-422 |#1| #1#) . T) ((-350 |#1|) . T) ((-389 |#1|) . T) ((-413 |#1|) . T) ((-424 |#1|) . T) ((-465) -2811 (|has| |#1| (-361)) (|has| |#1| (-375)) (|has| |#1| (-318))) ((-506) |has| |#1| (-1227)) ((-527 (-1201) |#1|) |has| |#1| (-527 (-1201) |#1|)) ((-527 |#1| |#1|) |has| |#1| (-320 |#1|)) ((-569) -2811 (|has| |#1| (-569)) (|has| |#1| (-361)) (|has| |#1| (-375)) (|has| |#1| (-318))) ((-662 #0#) -2811 (|has| |#1| (-361)) (|has| |#1| (-375))) ((-662 (-577)) . T) ((-662 |#1|) . T) ((-662 $) . T) ((-664 #0#) -2811 (|has| |#1| (-361)) (|has| |#1| (-375))) ((-664 #2=(-577)) |has| |#1| (-654 (-577))) ((-664 |#1|) . T) ((-664 $) . T) ((-656 #0#) -2811 (|has| |#1| (-361)) (|has| |#1| (-375))) ((-656 |#1|) . T) ((-656 $) -2811 (|has| |#1| (-569)) (|has| |#1| (-361)) (|has| |#1| (-375)) (|has| |#1| (-318))) ((-654 #2#) |has| |#1| (-654 (-577))) ((-654 |#1|) . T) ((-733 #0#) -2811 (|has| |#1| (-361)) (|has| |#1| (-375))) ((-733 |#1|) . T) ((-733 $) -2811 (|has| |#1| (-569)) (|has| |#1| (-361)) (|has| |#1| (-375)) (|has| |#1| (-318))) ((-740 |#1| #1#) . T) ((-742) . T) ((-915 $ #3=(-1201)) -2811 (|has| |#1| (-923 (-1201))) (|has| |#1| (-921 (-1201)))) ((-921 (-1201)) |has| |#1| (-921 (-1201))) ((-923 #3#) -2811 (|has| |#1| (-923 (-1201))) (|has| |#1| (-921 (-1201)))) ((-905 (-391)) |has| |#1| (-905 (-391))) ((-905 (-577)) |has| |#1| (-905 (-577))) ((-903 |#1|) . T) ((-932) -12 (|has| |#1| (-318)) (|has| |#1| (-932))) ((-943) -2811 (|has| |#1| (-361)) (|has| |#1| (-375)) (|has| |#1| (-318))) ((-1027) -12 (|has| |#1| (-1027)) (|has| |#1| (-1227))) ((-1063 (-420 (-577))) |has| |#1| (-1063 (-420 (-577)))) ((-1063 (-577)) |has| |#1| (-1063 (-577))) ((-1063 |#1|) . T) ((-1076 #0#) -2811 (|has| |#1| (-361)) (|has| |#1| (-375))) ((-1076 |#1|) . T) ((-1076 $) . T) ((-1081 #0#) -2811 (|has| |#1| (-361)) (|has| |#1| (-375))) ((-1081 |#1|) . T) ((-1081 $) . T) ((-1074) . T) ((-1083) . T) ((-1137) . T) ((-1125) . T) ((-1177) |has| |#1| (-361)) ((-1227) |has| |#1| (-1227)) ((-1230) |has| |#1| (-1227)) ((-1242) . 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|fn| (-327 (-228))) (|:| -1817 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))) 36 T ELT) (((-2 (|:| -4245 (-391)) (|:| |explanations| (-1183)) (|:| |extra| (-1060))) (-1088) (-2 (|:| |fn| (-327 (-228))) (|:| -1817 (-660 (-1119 (-859 (-228))))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))) NIL T ELT)) (-2426 (((-1183) $) NIL T ELT)) (-1440 (((-1145) $) NIL T ELT)) (-3603 (((-880) $) NIL T ELT)) (-4149 (((-112) $ $) NIL T ELT)) (-2949 (((-112) $ $) NIL T ELT))) (((-198) (-803)) (T -198)) NIL (-803) -((-1990 (((-112) $ $) NIL T ELT)) (-1609 (((-1060) (-2 (|:| |var| (-1201)) (|:| |fn| (-327 (-228))) (|:| -1495 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) (|:| |relerr| (-228))) (-1060)) 76 T ELT) (((-1060) (-2 (|:| |fn| (-327 (-228))) (|:| -1495 (-660 (-1119 (-859 (-228))))) (|:| |abserr| (-228)) (|:| |relerr| (-228))) (-1060)) NIL T ELT)) (-3706 (((-2 (|:| -3706 (-391)) (|:| |explanations| (-1183)) (|:| |extra| (-1060))) (-1088) (-2 (|:| |var| (-1201)) (|:| |fn| (-327 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|abserr| (-228)) (|:| |relerr| (-228)))) 40 T ELT) (((-2 (|:| -4245 (-391)) (|:| |explanations| (-1183)) (|:| |extra| (-1060))) (-1088) (-2 (|:| |fn| (-327 (-228))) (|:| -1817 (-660 (-1119 (-859 (-228))))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))) NIL T ELT)) (-2426 (((-1183) $) NIL T ELT)) (-1440 (((-1145) $) NIL T ELT)) (-3603 (((-880) $) NIL T ELT)) (-4149 (((-112) $ $) NIL T ELT)) (-2949 (((-112) $ $) NIL T ELT))) (((-199) (-803)) (T -199)) NIL (-803) -((-1990 (((-112) $ $) NIL T ELT)) (-1609 (((-1060) (-2 (|:| |var| (-1201)) (|:| |fn| (-327 (-228))) (|:| -1495 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) (|:| |relerr| (-228))) (-1060)) 93 T ELT) (((-1060) (-2 (|:| |fn| (-327 (-228))) (|:| -1495 (-660 (-1119 (-859 (-228))))) (|:| |abserr| (-228)) (|:| |relerr| (-228))) (-1060)) NIL T ELT)) (-3706 (((-2 (|:| -3706 (-391)) (|:| |explanations| (-1183)) (|:| |extra| (-1060))) (-1088) (-2 (|:| |var| (-1201)) (|:| |fn| (-327 (-228))) (|:| -1495 (-1119 (-859 (-228)))) (|:| |abserr| 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(-391)) (|:| |explanations| (-1183)) (|:| |extra| (-1060))) (-1088) (-2 (|:| |fn| (-327 (-228))) (|:| -1495 (-660 (-1119 (-859 (-228))))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))) NIL T ELT)) (-1438 (((-1183) $) NIL T ELT)) (-3150 (((-1145) $) NIL T ELT)) (-4106 (((-880) $) NIL T ELT)) (-1962 (((-112) $ $) NIL T ELT)) (-3932 (((-112) $ $) NIL T ELT))) +((-3489 (((-112) $ $) NIL T ELT)) (-3598 (((-1060) (-2 (|:| |var| (-1201)) (|:| |fn| (-327 (-228))) (|:| -1817 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) (|:| |relerr| (-228))) (-1060)) 90 T ELT) (((-1060) (-2 (|:| |fn| (-327 (-228))) (|:| -1817 (-660 (-1119 (-859 (-228))))) (|:| |abserr| (-228)) (|:| |relerr| (-228))) (-1060)) NIL T ELT)) (-4245 (((-2 (|:| -4245 (-391)) (|:| |explanations| (-1183)) (|:| |extra| (-1060))) (-1088) (-2 (|:| |var| (-1201)) (|:| |fn| (-327 (-228))) (|:| -1817 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))) 51 T ELT) (((-2 (|:| -4245 (-391)) (|:| |explanations| (-1183)) (|:| |extra| 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T) ((-102) -3803 (|has| |#2| (-1125)) (|has| |#2| (-1074)) (|has| |#2| (-865)) (|has| |#2| (-809)) (|has| |#2| (-742)) (|has| |#2| (-380)) (|has| |#2| (-375)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-102)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-111 |#2| |#2|) -3803 (|has| |#2| (-1074)) (|has| |#2| (-375)) (|has| |#2| (-174))) ((-132) -3803 (|has| |#2| (-1074)) (|has| |#2| (-809)) (|has| |#2| (-375)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-21))) ((-629 #0=(-420 (-577))) -12 (|has| |#2| (-1063 (-420 (-577)))) (|has| |#2| (-1125))) ((-629 (-577)) -3803 (|has| |#2| (-1074)) (-12 (|has| |#2| (-1063 (-577))) (|has| |#2| (-1125)))) ((-629 |#2|) |has| |#2| (-1125)) ((-626 (-880)) -3803 (|has| |#2| (-1125)) (|has| |#2| (-1074)) (|has| |#2| (-865)) (|has| |#2| (-809)) (|has| |#2| (-742)) (|has| |#2| (-380)) (|has| |#2| (-375)) (|has| |#2| (-174)) (|has| |#2| (-626 (-880))) (|has| |#2| (-132)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-626 (-1292 |#2|)) . T) ((-235 $) -3803 (-12 (|has| |#2| (-238)) (|has| |#2| (-1074))) (-12 (|has| |#2| (-239)) (|has| |#2| (-1074)))) ((-233 |#2|) |has| |#2| (-1074)) ((-239) -12 (|has| |#2| (-239)) (|has| |#2| (-1074))) ((-238) -3803 (-12 (|has| |#2| (-238)) (|has| |#2| (-1074))) (-12 (|has| |#2| (-239)) (|has| |#2| (-1074)))) ((-273 |#2|) |has| |#2| (-1074)) ((-297 #1=(-577) |#2|) . T) ((-299 #1# |#2|) . T) ((-320 |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) ((-380) |has| |#2| (-380)) ((-389 |#2|) |has| |#2| (-1074)) ((-424 |#2|) |has| |#2| (-1125)) ((-502 |#2|) . T) ((-617 #1# |#2|) . T) ((-527 |#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) ((-662 (-577)) -3803 (|has| |#2| (-1074)) (|has| |#2| (-375)) (|has| |#2| (-174)) (|has| |#2| (-21))) ((-662 |#2|) -3803 (|has| |#2| (-1074)) (|has| |#2| (-742)) (|has| |#2| (-375)) (|has| |#2| (-174))) ((-662 $) |has| |#2| (-1074)) ((-664 #2=(-577)) -12 (|has| |#2| (-654 (-577))) (|has| |#2| (-1074))) ((-664 |#2|) -3803 (|has| |#2| (-1074)) (|has| |#2| (-375)) (|has| |#2| (-174))) ((-664 $) |has| |#2| (-1074)) ((-656 |#2|) -3803 (|has| |#2| (-742)) (|has| |#2| (-375)) (|has| |#2| (-174))) ((-654 #2#) -12 (|has| |#2| (-654 (-577))) (|has| |#2| (-1074))) ((-654 |#2|) |has| |#2| (-1074)) ((-733 |#2|) -3803 (|has| |#2| (-375)) (|has| |#2| (-174))) ((-742) |has| |#2| (-1074)) ((-808) |has| |#2| (-809)) ((-809) |has| |#2| (-809)) ((-810) |has| |#2| (-809)) ((-811) |has| |#2| (-809)) ((-865) -3803 (|has| |#2| (-865)) (|has| |#2| (-809))) ((-868) -3803 (|has| |#2| (-865)) (|has| |#2| (-809))) ((-915 $ #3=(-1201)) -3803 (-12 (|has| |#2| (-923 (-1201))) (|has| |#2| (-1074))) (-12 (|has| |#2| (-921 (-1201))) (|has| |#2| (-1074)))) ((-921 (-1201)) -12 (|has| |#2| (-921 (-1201))) (|has| |#2| (-1074))) ((-923 #3#) -3803 (-12 (|has| |#2| (-923 (-1201))) (|has| |#2| (-1074))) (-12 (|has| |#2| (-921 (-1201))) (|has| |#2| (-1074)))) ((-1063 #0#) -12 (|has| |#2| (-1063 (-420 (-577)))) (|has| |#2| (-1125))) ((-1063 (-577)) -12 (|has| |#2| (-1063 (-577))) (|has| |#2| (-1125))) ((-1063 |#2|) |has| |#2| (-1125)) ((-1076 |#2|) -3803 (|has| |#2| (-1074)) (|has| |#2| (-742)) (|has| |#2| (-375)) (|has| |#2| (-174))) ((-1081 |#2|) -3803 (|has| |#2| (-1074)) (|has| |#2| (-375)) (|has| |#2| (-174))) ((-1074) |has| |#2| (-1074)) ((-1083) |has| |#2| (-1074)) ((-1137) |has| |#2| (-1074)) ((-1125) -3803 (|has| |#2| (-1125)) (|has| |#2| (-1074)) (|has| |#2| (-865)) (|has| |#2| (-809)) (|has| |#2| (-742)) (|has| |#2| (-380)) (|has| |#2| (-375)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-1242) . T) ((-1299 |#2|) |has| |#2| (-375))) -((-1775 (((-246 |#1| |#3|) (-1 |#3| |#2| |#3|) (-246 |#1| |#2|) |#3|) 21 T ELT)) (-2432 ((|#3| (-1 |#3| |#2| |#3|) (-246 |#1| |#2|) |#3|) 23 T ELT)) (-2457 (((-246 |#1| |#3|) (-1 |#3| |#2|) (-246 |#1| |#2|)) 18 T ELT))) -(((-245 |#1| |#2| |#3|) (-10 -7 (-15 -1775 ((-246 |#1| |#3|) (-1 |#3| |#2| |#3|) (-246 |#1| |#2|) |#3|)) (-15 -2432 (|#3| (-1 |#3| |#2| |#3|) (-246 |#1| |#2|) |#3|)) (-15 -2457 ((-246 |#1| |#3|) (-1 |#3| |#2|) (-246 |#1| |#2|)))) (-787) (-1242) (-1242)) (T -245)) -((-2457 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *7 *6)) (-5 *4 (-246 *5 *6)) (-14 *5 (-787)) (-4 *6 (-1242)) (-4 *7 (-1242)) (-5 *2 (-246 *5 *7)) (-5 *1 (-245 *5 *6 *7)))) (-2432 (*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *6 *2)) (-5 *4 (-246 *5 *6)) (-14 *5 (-787)) (-4 *6 (-1242)) (-4 *2 (-1242)) (-5 *1 (-245 *5 *6 *2)))) (-1775 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 *5 *7 *5)) (-5 *4 (-246 *6 *7)) (-14 *6 (-787)) (-4 *7 (-1242)) (-4 *5 (-1242)) (-5 *2 (-246 *6 *5)) (-5 *1 (-245 *6 *7 *5))))) 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T) ((-102) -2811 (|has| |#2| (-1125)) (|has| |#2| (-1074)) (|has| |#2| (-865)) (|has| |#2| (-809)) (|has| |#2| (-742)) (|has| |#2| (-380)) (|has| |#2| (-375)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-102)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-111 |#2| |#2|) -2811 (|has| |#2| (-1074)) (|has| |#2| (-375)) (|has| |#2| (-174))) ((-132) -2811 (|has| |#2| (-1074)) (|has| |#2| (-809)) (|has| |#2| (-375)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-21))) ((-629 #0=(-420 (-577))) -12 (|has| |#2| (-1063 (-420 (-577)))) (|has| |#2| (-1125))) ((-629 (-577)) -2811 (|has| |#2| (-1074)) (-12 (|has| |#2| (-1063 (-577))) (|has| |#2| (-1125)))) ((-629 |#2|) |has| |#2| (-1125)) ((-626 (-880)) -2811 (|has| |#2| (-1125)) (|has| |#2| (-1074)) (|has| |#2| (-865)) (|has| |#2| (-809)) (|has| |#2| (-742)) (|has| |#2| (-380)) (|has| |#2| (-375)) (|has| |#2| (-174)) (|has| |#2| (-626 (-880))) (|has| |#2| (-132)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-626 (-1292 |#2|)) . T) ((-235 $) -2811 (-12 (|has| |#2| (-238)) (|has| |#2| (-1074))) (-12 (|has| |#2| (-239)) (|has| |#2| (-1074)))) ((-233 |#2|) |has| |#2| (-1074)) ((-239) -12 (|has| |#2| (-239)) (|has| |#2| (-1074))) ((-238) -2811 (-12 (|has| |#2| (-238)) (|has| |#2| (-1074))) (-12 (|has| |#2| (-239)) (|has| |#2| (-1074)))) ((-273 |#2|) |has| |#2| (-1074)) ((-297 #1=(-577) |#2|) . T) ((-299 #1# |#2|) . T) ((-320 |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) ((-380) |has| |#2| (-380)) ((-389 |#2|) |has| |#2| (-1074)) ((-424 |#2|) |has| |#2| (-1125)) ((-502 |#2|) . T) ((-617 #1# |#2|) . T) ((-527 |#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) ((-662 (-577)) -2811 (|has| |#2| (-1074)) (|has| |#2| (-375)) (|has| |#2| (-174)) (|has| |#2| (-21))) ((-662 |#2|) -2811 (|has| |#2| (-1074)) (|has| |#2| (-742)) (|has| |#2| (-375)) (|has| |#2| (-174))) ((-662 $) |has| |#2| (-1074)) ((-664 #2=(-577)) -12 (|has| |#2| (-654 (-577))) (|has| |#2| (-1074))) ((-664 |#2|) -2811 (|has| |#2| (-1074)) (|has| |#2| (-375)) (|has| |#2| (-174))) ((-664 $) |has| |#2| (-1074)) ((-656 |#2|) -2811 (|has| |#2| (-742)) (|has| |#2| (-375)) (|has| |#2| (-174))) ((-654 #2#) -12 (|has| |#2| (-654 (-577))) (|has| |#2| (-1074))) ((-654 |#2|) |has| |#2| (-1074)) ((-733 |#2|) -2811 (|has| |#2| (-375)) (|has| |#2| (-174))) ((-742) |has| |#2| (-1074)) ((-808) |has| |#2| (-809)) ((-809) |has| |#2| (-809)) ((-810) |has| |#2| (-809)) ((-811) |has| |#2| (-809)) ((-865) -2811 (|has| |#2| (-865)) (|has| |#2| (-809))) ((-868) -2811 (|has| |#2| (-865)) (|has| |#2| (-809))) ((-915 $ #3=(-1201)) -2811 (-12 (|has| |#2| (-923 (-1201))) (|has| |#2| (-1074))) (-12 (|has| |#2| (-921 (-1201))) (|has| |#2| (-1074)))) ((-921 (-1201)) -12 (|has| |#2| (-921 (-1201))) (|has| |#2| (-1074))) ((-923 #3#) -2811 (-12 (|has| |#2| (-923 (-1201))) (|has| |#2| (-1074))) (-12 (|has| |#2| (-921 (-1201))) (|has| |#2| (-1074)))) ((-1063 #0#) -12 (|has| |#2| (-1063 (-420 (-577)))) (|has| |#2| (-1125))) ((-1063 (-577)) -12 (|has| |#2| (-1063 (-577))) (|has| |#2| (-1125))) ((-1063 |#2|) |has| |#2| (-1125)) ((-1076 |#2|) -2811 (|has| |#2| (-1074)) (|has| |#2| (-742)) (|has| |#2| (-375)) (|has| |#2| (-174))) ((-1081 |#2|) -2811 (|has| |#2| (-1074)) (|has| |#2| (-375)) (|has| |#2| (-174))) ((-1074) |has| |#2| (-1074)) ((-1083) |has| |#2| (-1074)) ((-1137) |has| |#2| (-1074)) ((-1125) -2811 (|has| |#2| (-1125)) (|has| |#2| (-1074)) (|has| |#2| (-865)) (|has| |#2| (-809)) (|has| |#2| (-742)) (|has| |#2| (-380)) (|has| |#2| (-375)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-1242) . T) ((-1299 |#2|) |has| |#2| (-375))) +((-2763 (((-246 |#1| |#3|) (-1 |#3| |#2| |#3|) (-246 |#1| |#2|) |#3|) 21 T ELT)) (-2498 ((|#3| (-1 |#3| |#2| |#3|) (-246 |#1| |#2|) |#3|) 23 T ELT)) (-2123 (((-246 |#1| |#3|) (-1 |#3| |#2|) (-246 |#1| |#2|)) 18 T ELT))) +(((-245 |#1| |#2| |#3|) (-10 -7 (-15 -2763 ((-246 |#1| |#3|) (-1 |#3| |#2| |#3|) (-246 |#1| |#2|) |#3|)) (-15 -2498 (|#3| (-1 |#3| |#2| |#3|) (-246 |#1| |#2|) |#3|)) (-15 -2123 ((-246 |#1| |#3|) (-1 |#3| |#2|) (-246 |#1| |#2|)))) (-787) (-1242) (-1242)) (T -245)) +((-2123 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *7 *6)) (-5 *4 (-246 *5 *6)) (-14 *5 (-787)) (-4 *6 (-1242)) (-4 *7 (-1242)) (-5 *2 (-246 *5 *7)) (-5 *1 (-245 *5 *6 *7)))) (-2498 (*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *6 *2)) (-5 *4 (-246 *5 *6)) (-14 *5 (-787)) (-4 *6 (-1242)) (-4 *2 (-1242)) (-5 *1 (-245 *5 *6 *2)))) (-2763 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 *5 *7 *5)) (-5 *4 (-246 *6 *7)) (-14 *6 (-787)) (-4 *7 (-1242)) (-4 *5 (-1242)) (-5 *2 (-246 *6 *5)) (-5 *1 (-245 *6 *7 *5))))) 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T) ((-174) -3803 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-174))) ((-627 (-549)) -12 (|has| |#1| (-627 (-549))) (|has| |#3| (-627 (-549)))) ((-627 (-911 (-391))) -12 (|has| |#1| (-627 (-911 (-391)))) (|has| |#3| (-627 (-911 (-391))))) ((-627 (-911 (-577))) -12 (|has| |#1| (-627 (-911 (-577)))) (|has| |#3| (-627 (-911 (-577))))) ((-235 $) -3803 (|has| |#1| (-238)) (|has| |#1| (-239))) ((-233 |#1|) . T) ((-239) |has| |#1| (-239)) ((-238) -3803 (|has| |#1| (-238)) (|has| |#1| (-239))) ((-273 |#1|) . T) ((-301) -3803 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465))) ((-320 $) . T) ((-337 |#1| |#4|) . T) ((-389 |#1|) . T) ((-424 |#1|) . T) ((-465) -3803 (|has| |#1| (-932)) (|has| |#1| (-465))) ((-527 |#2| |#1|) |has| |#1| (-239)) ((-527 |#2| $) |has| |#1| (-239)) ((-527 |#3| |#1|) . T) ((-527 |#3| $) . T) ((-527 $ $) . T) ((-569) -3803 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465))) ((-662 #0#) |has| |#1| (-38 (-420 (-577)))) ((-662 (-577)) . T) ((-662 |#1|) . T) ((-662 $) . T) ((-664 #0#) |has| |#1| (-38 (-420 (-577)))) ((-664 #1=(-577)) |has| |#1| (-654 (-577))) ((-664 |#1|) . T) ((-664 $) . T) ((-656 #0#) |has| |#1| (-38 (-420 (-577)))) ((-656 |#1|) |has| |#1| (-174)) ((-656 $) -3803 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465))) ((-654 #1#) |has| |#1| (-654 (-577))) ((-654 |#1|) . T) ((-733 #0#) |has| |#1| (-38 (-420 (-577)))) ((-733 |#1|) |has| |#1| (-174)) ((-733 $) -3803 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465))) ((-742) . T) ((-915 $ #2=(-1201)) -3803 (|has| |#1| (-923 (-1201))) (|has| |#1| (-921 (-1201)))) ((-915 $ |#3|) . T) ((-921 (-1201)) |has| |#1| (-921 (-1201))) ((-921 |#3|) . T) ((-923 #2#) -3803 (|has| |#1| (-923 (-1201))) (|has| |#1| (-921 (-1201)))) ((-923 |#3|) . T) ((-905 (-391)) -12 (|has| |#1| (-905 (-391))) (|has| |#3| (-905 (-391)))) ((-905 (-577)) -12 (|has| |#1| (-905 (-577))) (|has| |#3| (-905 (-577)))) ((-972 |#1| |#4| |#3|) . T) ((-932) |has| |#1| (-932)) ((-1063 (-420 (-577))) |has| |#1| (-1063 (-420 (-577)))) ((-1063 (-577)) |has| |#1| (-1063 (-577))) ((-1063 |#1|) . T) ((-1063 |#2|) . T) ((-1063 |#3|) . T) ((-1076 #0#) |has| |#1| (-38 (-420 (-577)))) ((-1076 |#1|) . T) ((-1076 $) -3803 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-174))) ((-1081 #0#) |has| |#1| (-38 (-420 (-577)))) ((-1081 |#1|) . T) ((-1081 $) -3803 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-174))) ((-1074) . T) ((-1083) . T) ((-1137) . T) ((-1125) . T) ((-1242) . T) ((-1246) |has| |#1| (-932))) -((-1990 (((-112) $ $) 20 (|has| |#1| (-102)) ELT)) (-1408 ((|#1| $) 55 T ELT)) (-3010 ((|#1| $) 45 T ELT)) (-3227 (((-112) $ (-787)) 8 T ELT)) (-3384 (($) 7 T CONST)) (-2834 (($ $) 61 T ELT)) (-2373 (($ $) 49 T ELT)) (-2926 ((|#1| |#1| $) 47 T ELT)) (-2915 ((|#1| $) 46 T ELT)) (-4112 (((-660 |#1|) $) 31 (|has| $ (-6 -4470)) ELT)) (-3335 (((-112) $ (-787)) 9 T ELT)) (-4283 (((-660 |#1|) $) 30 (|has| $ (-6 -4470)) ELT)) (-1446 (((-112) |#1| $) 28 (-12 (|has| |#1| (-1125)) (|has| $ (-6 -4470))) ELT)) (-3299 (($ (-1 |#1| |#1|) $) 35 (|has| $ (-6 -4471)) ELT)) (-2457 (($ (-1 |#1| |#1|) $) 36 T ELT)) (-3304 (((-112) $ (-787)) 10 T ELT)) (-3867 (((-787) $) 62 T ELT)) (-1438 (((-1183) $) 23 (|has| |#1| (-1125)) ELT)) (-2250 ((|#1| $) 40 T ELT)) (-1388 ((|#1| |#1| $) 53 T ELT)) (-1378 ((|#1| |#1| $) 52 T ELT)) (-1499 (($ |#1| $) 41 T ELT)) (-3487 (((-787) $) 56 T ELT)) (-3150 (((-1145) $) 22 (|has| |#1| (-1125)) ELT)) (-2822 ((|#1| $) 63 T ELT)) (-2655 ((|#1| $) 51 T ELT)) (-2642 ((|#1| $) 50 T ELT)) (-3901 ((|#1| $) 42 T ELT)) (-3366 (((-112) (-1 (-112) |#1|) $) 33 (|has| $ (-6 -4470)) ELT)) (-2198 (($ $ (-660 (-305 |#1|))) 27 (-12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125))) ELT) (($ $ (-305 |#1|)) 26 (-12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125))) ELT) (($ $ |#1| |#1|) 25 (-12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125))) ELT) (($ $ (-660 |#1|) (-660 |#1|)) 24 (-12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125))) ELT)) (-3240 (((-112) $ $) 14 T ELT)) (-2858 ((|#1| |#1| $) 59 T ELT)) (-2430 (((-112) $) 11 T ELT)) (-4241 (($) 12 T ELT)) (-2845 ((|#1| $) 60 T ELT)) (-1419 (($) 58 T ELT) (($ (-660 |#1|)) 57 T ELT)) (-2947 (((-787) $) 44 T ELT)) (-3161 (((-787) (-1 (-112) |#1|) $) 32 (|has| $ (-6 -4470)) ELT) (((-787) |#1| $) 29 (-12 (|has| |#1| (-1125)) (|has| $ (-6 -4470))) ELT)) (-4300 (($ $) 13 T ELT)) (-4106 (((-880) $) 18 (|has| |#1| (-626 (-880))) ELT)) (-1399 ((|#1| $) 54 T ELT)) (-1962 (((-112) $ $) 21 (|has| |#1| (-102)) ELT)) (-3911 (($ (-660 |#1|)) 43 T ELT)) (-2811 ((|#1| $) 64 T ELT)) (-3375 (((-112) (-1 (-112) |#1|) $) 34 (|has| $ (-6 -4470)) ELT)) (-3932 (((-112) $ $) 19 (|has| |#1| (-102)) ELT)) (-2003 (((-787) $) 6 (|has| $ (-6 -4470)) ELT))) +((-2984 (*1 *2 *3) (-12 (-4 *4 (-1074)) (-4 *3 (-865)) (-4 *5 (-276 *3)) (-4 *6 (-809)) (-5 *2 (-1 *1 (-787))) (-4 *1 (-261 *4 *3 *5 *6)))) (-3229 (*1 *2 *1) (-12 (-4 *1 (-261 *3 *4 *5 *6)) (-4 *3 (-1074)) (-4 *4 (-865)) (-4 *5 (-276 *4)) (-4 *6 (-809)) (-5 *2 (-660 *4)))) (-1743 (*1 *2 *1 *3) (-12 (-4 *1 (-261 *4 *3 *5 *6)) (-4 *4 (-1074)) (-4 *3 (-865)) (-4 *5 (-276 *3)) (-4 *6 (-809)) (-5 *2 (-787)))) (-1743 (*1 *2 *1) (-12 (-4 *1 (-261 *3 *4 *5 *6)) (-4 *3 (-1074)) (-4 *4 (-865)) (-4 *5 (-276 *4)) (-4 *6 (-809)) (-5 *2 (-787)))) (-1896 (*1 *2 *1 *3) (-12 (-4 *1 (-261 *4 *3 *5 *6)) (-4 *4 (-1074)) (-4 *3 (-865)) (-4 *5 (-276 *3)) (-4 *6 (-809)) (-5 *2 (-787)))) (-3100 (*1 *2 *1) (-12 (-4 *1 (-261 *3 *4 *5 *6)) (-4 *3 (-1074)) (-4 *4 (-865)) (-4 *5 (-276 *4)) (-4 *6 (-809)) (-5 *2 (-660 (-787))))) (-4130 (*1 *2 *1) (-12 (-4 *1 (-261 *3 *4 *5 *6)) (-4 *3 (-1074)) (-4 *4 (-865)) (-4 *5 (-276 *4)) (-4 *6 (-809)) (-5 *2 (-787)))) (-3100 (*1 *2 *1 *3) (-12 (-4 *1 (-261 *4 *3 *5 *6)) (-4 *4 (-1074)) (-4 *3 (-865)) (-4 *5 (-276 *3)) (-4 *6 (-809)) (-5 *2 (-660 (-787))))) (-4130 (*1 *2 *1 *3) (-12 (-4 *1 (-261 *4 *3 *5 *6)) (-4 *4 (-1074)) (-4 *3 (-865)) (-4 *5 (-276 *3)) (-4 *6 (-809)) (-5 *2 (-787)))) (-4236 (*1 *2 *1) (-12 (-4 *1 (-261 *3 *4 *5 *6)) (-4 *3 (-1074)) (-4 *4 (-865)) (-4 *5 (-276 *4)) (-4 *6 (-809)) (-5 *2 (-112)))) (-2646 (*1 *2 *1) (-12 (-4 *1 (-261 *3 *4 *2 *5)) (-4 *3 (-1074)) (-4 *4 (-865)) (-4 *5 (-809)) (-4 *2 (-276 *4)))) (-2269 (*1 *1 *1) (-12 (-4 *1 (-261 *2 *3 *4 *5)) (-4 *2 (-1074)) (-4 *3 (-865)) (-4 *4 (-276 *3)) (-4 *5 (-809)))) (-4124 (*1 *1 *1) (-12 (-4 *1 (-261 *2 *3 *4 *5)) (-4 *2 (-1074)) (-4 *3 (-865)) (-4 *4 (-276 *3)) (-4 *5 (-809)))) (-2984 (*1 *2 *1) (-12 (-4 *3 (-239)) (-4 *3 (-1074)) (-4 *4 (-865)) (-4 *5 (-276 *4)) (-4 *6 (-809)) (-5 *2 (-1 *1 (-787))) (-4 *1 (-261 *3 *4 *5 *6))))) +(-13 (-972 |t#1| |t#4| |t#3|) (-233 |t#1|) (-1063 |t#2|) (-10 -8 (-15 -2984 ((-1 $ (-787)) |t#2|)) (-15 -3229 ((-660 |t#2|) $)) (-15 -1743 ((-787) $ |t#2|)) (-15 -1743 ((-787) $)) (-15 -1896 ((-787) $ |t#2|)) (-15 -3100 ((-660 (-787)) $)) (-15 -4130 ((-787) $)) (-15 -3100 ((-660 (-787)) $ |t#2|)) (-15 -4130 ((-787) $ |t#2|)) (-15 -4236 ((-112) $)) (-15 -2646 (|t#3| $)) (-15 -2269 ($ $)) (-15 -4124 ($ $)) (IF (|has| |t#1| (-239)) (PROGN (-6 (-527 |t#2| |t#1|)) (-6 (-527 |t#2| $)) (-6 (-320 $)) (-15 -2984 ((-1 $ (-787)) $))) |%noBranch|))) +(((-21) . T) ((-23) . T) ((-47 |#1| |#4|) . T) ((-25) . T) ((-38 #0=(-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((-38 |#1|) |has| |#1| (-174)) ((-38 $) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465))) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-38 (-420 (-577)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-629 #0#) -2811 (|has| |#1| (-1063 (-420 (-577)))) (|has| |#1| (-38 (-420 (-577))))) ((-629 (-577)) . T) ((-629 |#1|) . T) ((-629 |#2|) . T) ((-629 |#3|) . T) ((-629 $) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465))) ((-626 (-880)) . T) ((-174) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-174))) ((-627 (-549)) -12 (|has| |#1| (-627 (-549))) (|has| |#3| (-627 (-549)))) ((-627 (-911 (-391))) -12 (|has| |#1| (-627 (-911 (-391)))) (|has| |#3| (-627 (-911 (-391))))) ((-627 (-911 (-577))) -12 (|has| |#1| (-627 (-911 (-577)))) (|has| |#3| (-627 (-911 (-577))))) ((-235 $) -2811 (|has| |#1| (-238)) (|has| |#1| (-239))) ((-233 |#1|) . T) ((-239) |has| |#1| (-239)) ((-238) -2811 (|has| |#1| (-238)) (|has| |#1| (-239))) ((-273 |#1|) . T) ((-301) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465))) ((-320 $) . T) ((-337 |#1| |#4|) . T) ((-389 |#1|) . T) ((-424 |#1|) . T) ((-465) -2811 (|has| |#1| (-932)) (|has| |#1| (-465))) ((-527 |#2| |#1|) |has| |#1| (-239)) ((-527 |#2| $) |has| |#1| (-239)) ((-527 |#3| |#1|) . T) ((-527 |#3| $) . T) ((-527 $ $) . T) ((-569) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465))) ((-662 #0#) |has| |#1| (-38 (-420 (-577)))) ((-662 (-577)) . T) ((-662 |#1|) . T) ((-662 $) . T) ((-664 #0#) |has| |#1| (-38 (-420 (-577)))) ((-664 #1=(-577)) |has| |#1| (-654 (-577))) ((-664 |#1|) . T) ((-664 $) . T) ((-656 #0#) |has| |#1| (-38 (-420 (-577)))) ((-656 |#1|) |has| |#1| (-174)) ((-656 $) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465))) ((-654 #1#) |has| |#1| (-654 (-577))) ((-654 |#1|) . T) ((-733 #0#) |has| |#1| (-38 (-420 (-577)))) ((-733 |#1|) |has| |#1| (-174)) ((-733 $) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465))) ((-742) . T) ((-915 $ #2=(-1201)) -2811 (|has| |#1| (-923 (-1201))) (|has| |#1| (-921 (-1201)))) ((-915 $ |#3|) . T) ((-921 (-1201)) |has| |#1| (-921 (-1201))) ((-921 |#3|) . T) ((-923 #2#) -2811 (|has| |#1| (-923 (-1201))) (|has| |#1| (-921 (-1201)))) ((-923 |#3|) . T) ((-905 (-391)) -12 (|has| |#1| (-905 (-391))) (|has| |#3| (-905 (-391)))) ((-905 (-577)) -12 (|has| |#1| (-905 (-577))) (|has| |#3| (-905 (-577)))) ((-972 |#1| |#4| |#3|) . T) ((-932) |has| |#1| (-932)) ((-1063 (-420 (-577))) |has| |#1| (-1063 (-420 (-577)))) ((-1063 (-577)) |has| |#1| (-1063 (-577))) ((-1063 |#1|) . T) ((-1063 |#2|) . T) ((-1063 |#3|) . T) ((-1076 #0#) |has| |#1| (-38 (-420 (-577)))) ((-1076 |#1|) . T) ((-1076 $) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-174))) ((-1081 #0#) |has| |#1| (-38 (-420 (-577)))) ((-1081 |#1|) . T) ((-1081 $) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-174))) ((-1074) . T) ((-1083) . T) ((-1137) . T) ((-1125) . T) ((-1242) . T) ((-1246) |has| |#1| (-932))) +((-3489 (((-112) $ $) 20 (|has| |#1| (-102)) ELT)) (-3662 ((|#1| $) 55 T ELT)) (-2554 ((|#1| $) 45 T ELT)) (-2162 (((-112) $ (-787)) 8 T ELT)) (-3049 (($) 7 T CONST)) (-1539 (($ $) 61 T ELT)) (-2414 (($ $) 49 T ELT)) (-4225 ((|#1| |#1| $) 47 T ELT)) (-4222 ((|#1| $) 46 T ELT)) (-3692 (((-660 |#1|) $) 31 (|has| $ (-6 -4470)) ELT)) (-3885 (((-112) $ (-787)) 9 T ELT)) (-1734 (((-660 |#1|) $) 30 (|has| $ (-6 -4470)) ELT)) (-2517 (((-112) |#1| $) 28 (-12 (|has| |#1| (-1125)) (|has| $ (-6 -4470))) ELT)) (-2830 (($ (-1 |#1| |#1|) $) 35 (|has| $ (-6 -4471)) ELT)) (-2123 (($ (-1 |#1| |#1|) $) 36 T ELT)) (-1691 (((-112) $ (-787)) 10 T ELT)) (-3763 (((-787) $) 62 T ELT)) (-2426 (((-1183) $) 23 (|has| |#1| (-1125)) ELT)) (-3815 ((|#1| $) 40 T ELT)) (-3894 ((|#1| |#1| $) 53 T ELT)) (-3233 ((|#1| |#1| $) 52 T ELT)) (-1846 (($ |#1| $) 41 T ELT)) (-4184 (((-787) $) 56 T ELT)) (-1440 (((-1145) $) 22 (|has| |#1| (-1125)) ELT)) (-1429 ((|#1| $) 63 T ELT)) (-3485 ((|#1| $) 51 T ELT)) (-3349 ((|#1| $) 50 T ELT)) (-2316 ((|#1| $) 42 T ELT)) (-4143 (((-112) (-1 (-112) |#1|) $) 33 (|has| $ (-6 -4470)) ELT)) (-3273 (($ $ (-660 (-305 |#1|))) 27 (-12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125))) ELT) (($ $ (-305 |#1|)) 26 (-12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125))) ELT) (($ $ |#1| |#1|) 25 (-12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125))) ELT) (($ $ (-660 |#1|) (-660 |#1|)) 24 (-12 (|has| |#1| (-320 |#1|)) (|has| |#1| (-1125))) ELT)) (-2278 (((-112) $ $) 14 T ELT)) (-1756 ((|#1| |#1| $) 59 T ELT)) (-1769 (((-112) $) 11 T ELT)) (-4442 (($) 12 T ELT)) (-1649 ((|#1| $) 60 T ELT)) (-2277 (($) 58 T ELT) (($ (-660 |#1|)) 57 T ELT)) (-2395 (((-787) $) 44 T ELT)) (-1452 (((-787) (-1 (-112) |#1|) $) 32 (|has| $ (-6 -4470)) ELT) (((-787) |#1| $) 29 (-12 (|has| |#1| (-1125)) (|has| $ (-6 -4470))) ELT)) (-1914 (($ $) 13 T ELT)) (-3603 (((-880) $) 18 (|has| |#1| (-626 (-880))) ELT)) (-3396 ((|#1| $) 54 T ELT)) (-4149 (((-112) $ $) 21 (|has| |#1| (-102)) ELT)) (-4373 (($ (-660 |#1|)) 43 T ELT)) (-1333 ((|#1| $) 64 T ELT)) (-4231 (((-112) (-1 (-112) |#1|) $) 34 (|has| $ (-6 -4470)) ELT)) (-2949 (((-112) $ $) 19 (|has| |#1| (-102)) ELT)) (-3501 (((-787) $) 6 (|has| $ (-6 -4470)) ELT))) (((-262 |#1|) (-141) (-1242)) (T -262)) -((-1419 (*1 *1) (-12 (-4 *1 (-262 *2)) (-4 *2 (-1242)))) (-1419 (*1 *1 *2) (-12 (-5 *2 (-660 *3)) (-4 *3 (-1242)) (-4 *1 (-262 *3)))) (-3487 (*1 *2 *1) (-12 (-4 *1 (-262 *3)) (-4 *3 (-1242)) (-5 *2 (-787)))) (-1408 (*1 *2 *1) (-12 (-4 *1 (-262 *2)) (-4 *2 (-1242)))) (-1399 (*1 *2 *1) (-12 (-4 *1 (-262 *2)) (-4 *2 (-1242)))) (-1388 (*1 *2 *2 *1) (-12 (-4 *1 (-262 *2)) (-4 *2 (-1242)))) (-1378 (*1 *2 *2 *1) (-12 (-4 *1 (-262 *2)) (-4 *2 (-1242)))) (-2655 (*1 *2 *1) (-12 (-4 *1 (-262 *2)) (-4 *2 (-1242)))) (-2642 (*1 *2 *1) (-12 (-4 *1 (-262 *2)) (-4 *2 (-1242)))) (-2373 (*1 *1 *1) (-12 (-4 *1 (-262 *2)) (-4 *2 (-1242))))) -(-13 (-1146 |t#1|) (-1020 |t#1|) (-10 -8 (-15 -1419 ($)) (-15 -1419 ($ (-660 |t#1|))) (-15 -3487 ((-787) $)) (-15 -1408 (|t#1| $)) (-15 -1399 (|t#1| $)) (-15 -1388 (|t#1| |t#1| $)) (-15 -1378 (|t#1| |t#1| $)) (-15 -2655 (|t#1| $)) (-15 -2642 (|t#1| $)) (-15 -2373 ($ $)))) -(((-34) . 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T) ((-465) -2811 (|has| (-420 |#2|) (-361)) (|has| (-420 |#2|) (-375))) ((-569) -2811 (|has| (-420 |#2|) (-361)) (|has| (-420 |#2|) (-375))) ((-662 #0#) -2811 (|has| (-420 |#2|) (-361)) (|has| (-420 |#2|) (-375))) ((-662 #1#) . T) ((-662 (-577)) . T) ((-662 $) . T) ((-664 #0#) -2811 (|has| (-420 |#2|) (-361)) (|has| (-420 |#2|) (-375))) ((-664 #1#) . T) ((-664 #2=(-577)) |has| (-420 |#2|) (-654 (-577))) ((-664 $) . T) ((-656 #0#) -2811 (|has| (-420 |#2|) (-361)) (|has| (-420 |#2|) (-375))) ((-656 #1#) . T) ((-656 $) -2811 (|has| (-420 |#2|) (-361)) (|has| (-420 |#2|) (-375))) ((-654 #1#) . T) ((-654 #2#) |has| (-420 |#2|) (-654 (-577))) ((-733 #0#) -2811 (|has| (-420 |#2|) (-361)) (|has| (-420 |#2|) (-375))) ((-733 #1#) . T) ((-733 $) -2811 (|has| (-420 |#2|) (-361)) (|has| (-420 |#2|) (-375))) ((-740 #1# |#3|) . T) ((-742) . 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range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) $)) (-15 -2911 ((-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| (-1182 (-228))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1495 (-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")))) (-2 (|:| |var| (-1201)) (|:| |fn| (-327 (-228))) (|:| -1495 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) (|:| |relerr| (-228))))))) (T -572)) -((-2911 (*1 *2 *3) (-12 (-5 *3 (-2 (|:| |var| (-1201)) (|:| |fn| (-327 (-228))) (|:| -1495 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))) (-5 *2 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1182 (-228))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1495 (-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 (-572)))) (-3028 (*1 *2 *1) (-12 (-5 *2 (-660 (-2 (|:| -2350 (-2 (|:| |var| (-1201)) (|:| |fn| (-327 (-228))) (|:| -1495 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))) (|:| -2911 (-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| (-1182 (-228))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1495 (-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 (-572)))) (-1756 (*1 *2 *3) (|partial| -12 (-5 *3 (-2 (|:| |var| 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(-1119 (-859 (-228)))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))) (|:| -2911 (-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| (-1182 (-228))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1495 (-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 (-572)))) (-4006 (*1 *1 *2) (-12 (-5 *2 (-660 (-2 (|:| -2350 (-2 (|:| |var| (-1201)) (|:| |fn| (-327 (-228))) (|:| -1495 (-1119 (-859 (-228)))) (|:| |abserr| 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|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"))))))))) (-15 -1499 ($ (-2 (|:| -2350 (-2 (|:| |var| (-1201)) (|:| |fn| (-327 (-228))) (|:| -1495 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))) (|:| -2911 (-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| (-1182 (-228))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1495 (-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")))))))) (-15 -1756 ((-3 (-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| (-1182 (-228))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1495 (-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")))) "failed") (-2 (|:| |var| (-1201)) (|:| |fn| (-327 (-228))) (|:| -1495 (-1119 (-859 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((-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| (-1182 (-228))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1495 (-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")))) (-2 (|:| |var| (-1201)) (|:| |fn| (-327 (-228))) (|:| -1495 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))))) -((-1997 (((-1197 (-420 (-1197 |#2|))) |#2| (-625 |#2|) (-625 |#2|) (-1197 |#2|)) 35 T ELT)) (-4038 (((-3 (-2 (|:| 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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| (-1182 (-228))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1817 (-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 (-572)))) (-4018 (*1 *2 *1) (-12 (-5 *2 (-660 (-2 (|:| -4323 (-2 (|:| |var| (-1201)) (|:| |fn| (-327 (-228))) (|:| -1817 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))) (|:| -2438 (-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| (-1182 (-228))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1817 (-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 (-572)))) (-2652 (*1 *2 *3) (|partial| -12 (-5 *3 (-2 (|:| |var| (-1201)) (|:| |fn| (-327 (-228))) (|:| -1817 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))) (-5 *2 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| 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T) ((-102) -3803 (|has| |#2| (-1125)) (|has| |#2| (-102))) ((-626 (-880)) -3803 (|has| |#2| (-1125)) (|has| |#2| (-626 (-880)))) ((-297 |#1| |#2|) . T) ((-299 |#1| |#2|) . T) ((-320 |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) ((-502 |#2|) . T) ((-527 |#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) ((-1125) |has| |#2| (-1125)) ((-1242) . T)) -((-4106 (((-880) $) 19 T ELT) (($ (-130)) 13 T ELT) (((-130) $) 14 T ELT))) +((-4018 (*1 *2 *1) (-12 (-4 *1 (-617 *3 *4)) (-4 *3 (-1125)) (-4 *4 (-1242)) (-5 *2 (-660 *4)))) (-3922 (*1 *2 *3 *1) (-12 (-4 *1 (-617 *3 *4)) (-4 *3 (-1125)) (-4 *4 (-1242)) (-5 *2 (-112)))) (-3801 (*1 *2 *1) (-12 (-4 *1 (-617 *3 *4)) (-4 *3 (-1125)) (-4 *4 (-1242)) (-5 *2 (-660 *3)))) (-3684 (*1 *2 *3 *1) (-12 (|has| *1 (-6 -4470)) (-4 *1 (-617 *4 *3)) (-4 *4 (-1125)) (-4 *3 (-1242)) (-4 *3 (-1125)) (-5 *2 (-112)))) (-1664 (*1 *2 *1) (-12 (-4 *1 (-617 *2 *3)) (-4 *3 (-1242)) (-4 *2 (-1125)) (-4 *2 (-865)))) (-1542 (*1 *2 *1) (-12 (-4 *1 (-617 *2 *3)) (-4 *3 (-1242)) (-4 *2 (-1125)) (-4 *2 (-865)))) (-1652 (*1 *2 *1) (-12 (-4 *1 (-617 *3 *2)) (-4 *3 (-1125)) (-4 *3 (-865)) (-4 *2 (-1242)))) (-1442 (*1 *1 *1 *2) (-12 (|has| *1 (-6 -4471)) (-4 *1 (-617 *3 *2)) (-4 *3 (-1125)) (-4 *2 (-1242)))) (-4450 (*1 *2 *1 *3 *3) (-12 (|has| *1 (-6 -4471)) (-4 *1 (-617 *3 *4)) (-4 *3 (-1125)) (-4 *4 (-1242)) (-5 *2 (-1297))))) +(-13 (-502 |t#2|) (-299 |t#1| |t#2|) (-10 -8 (-15 -4018 ((-660 |t#2|) $)) (-15 -3922 ((-112) |t#1| $)) (-15 -3801 ((-660 |t#1|) $)) (IF (|has| |t#2| (-1125)) (IF (|has| $ (-6 -4470)) (-15 -3684 ((-112) |t#2| $)) |%noBranch|) |%noBranch|) (IF (|has| |t#1| (-865)) (PROGN (-15 -1664 (|t#1| $)) (-15 -1542 (|t#1| $)) (-15 -1652 (|t#2| $))) |%noBranch|) (IF (|has| $ (-6 -4471)) (PROGN (-15 -1442 ($ $ |t#2|)) (-15 -4450 ((-1297) $ |t#1| |t#1|))) |%noBranch|))) +(((-34) . T) ((-102) -2811 (|has| |#2| (-1125)) (|has| |#2| (-102))) ((-626 (-880)) -2811 (|has| |#2| (-1125)) (|has| |#2| (-626 (-880)))) ((-297 |#1| |#2|) . T) ((-299 |#1| |#2|) . T) ((-320 |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) ((-502 |#2|) . T) ((-527 |#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) ((-1125) |has| |#2| (-1125)) ((-1242) . T)) +((-3603 (((-880) $) 19 T ELT) (($ (-130)) 13 T ELT) (((-130) $) 14 T ELT))) (((-618) (-13 (-626 (-880)) (-503 (-130)))) (T -618)) NIL (-13 (-626 (-880)) (-503 (-130))) -((-1990 (((-112) $ $) NIL T ELT)) (-1438 (((-1183) $) NIL T ELT)) (-3150 (((-1145) $) NIL T ELT)) (-4106 (((-880) $) NIL T ELT) (($ (-1206)) NIL T ELT) (((-1206) $) NIL T ELT) (((-1241) $) 14 T ELT) (($ (-660 (-1241))) 13 T ELT)) (-4433 (((-660 (-1241)) $) 10 T ELT)) (-1962 (((-112) $ $) NIL T ELT)) (-3932 (((-112) $ $) NIL T ELT))) -(((-619) (-13 (-1108) (-626 (-1241)) (-10 -8 (-15 -4106 ($ (-660 (-1241)))) (-15 -4433 ((-660 (-1241)) $))))) (T -619)) -((-4106 (*1 *1 *2) (-12 (-5 *2 (-660 (-1241))) (-5 *1 (-619)))) (-4433 (*1 *2 *1) (-12 (-5 *2 (-660 (-1241))) (-5 *1 (-619))))) -(-13 (-1108) (-626 (-1241)) (-10 -8 (-15 -4106 ($ (-660 (-1241)))) (-15 -4433 ((-660 (-1241)) $)))) -((-1990 (((-112) $ $) NIL T ELT)) (-4181 (((-112) $) NIL T ELT)) (-1957 (((-3 $ "failed")) NIL (-3803 (-12 (|has| |#2| (-379 |#1|)) (|has| 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T) ((-664 #0#) |has| |#1| (-38 (-420 (-577)))) ((-664 #1=(-577)) |has| |#1| (-654 (-577))) ((-664 |#1|) . T) ((-664 $) . T) ((-656 #0#) |has| |#1| (-38 (-420 (-577)))) ((-656 |#1|) |has| |#1| (-174)) ((-656 $) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465))) ((-654 #1#) |has| |#1| (-654 (-577))) ((-654 |#1|) . T) ((-733 #0#) |has| |#1| (-38 (-420 (-577)))) ((-733 |#1|) |has| |#1| (-174)) ((-733 $) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465))) ((-742) . T) ((-915 $ |#3|) . T) ((-921 |#3|) . T) ((-923 |#3|) . T) ((-905 (-391)) -12 (|has| |#1| (-905 (-391))) (|has| |#3| (-905 (-391)))) ((-905 (-577)) -12 (|has| |#1| (-905 (-577))) (|has| |#3| (-905 (-577)))) ((-972 |#1| |#2| |#3|) . T) ((-932) |has| |#1| (-932)) ((-1063 (-420 (-577))) |has| |#1| (-1063 (-420 (-577)))) ((-1063 (-577)) |has| |#1| (-1063 (-577))) ((-1063 |#1|) . T) ((-1063 |#3|) . T) ((-1076 #0#) |has| |#1| (-38 (-420 (-577)))) ((-1076 |#1|) . T) ((-1076 $) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-174))) ((-1081 #0#) |has| |#1| (-38 (-420 (-577)))) ((-1081 |#1|) . T) ((-1081 $) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-174))) ((-1074) . T) ((-1083) . T) ((-1137) . T) ((-1125) . T) ((-1242) . 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T) ((-23) . T) ((-25) . T) ((-34) . T) ((-38 |#2|) |has| |#2| (-6 (-4472 "*"))) ((-102) . T) ((-111 |#2| |#2|) . T) ((-132) . T) ((-629 #0=(-420 (-577))) |has| |#2| (-1063 (-420 (-577)))) ((-629 (-577)) . T) ((-629 |#2|) . T) ((-626 (-880)) . T) ((-235 $) -3803 (|has| |#2| (-238)) (|has| |#2| (-239))) ((-233 |#2|) . T) ((-239) |has| |#2| (-239)) ((-238) -3803 (|has| |#2| (-238)) (|has| |#2| (-239))) ((-273 |#2|) . T) ((-320 |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) ((-389 |#2|) . T) ((-424 |#2|) . T) ((-502 |#2|) . T) ((-527 |#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) ((-662 (-577)) . T) ((-662 |#2|) . T) ((-662 $) . T) ((-664 #1=(-577)) |has| |#2| (-654 (-577))) ((-664 |#2|) . T) ((-664 $) . T) ((-656 |#2|) -3803 (|has| |#2| (-174)) (|has| |#2| (-6 (-4472 "*")))) ((-654 #1#) |has| |#2| (-654 (-577))) ((-654 |#2|) . T) ((-733 |#2|) -3803 (|has| |#2| (-174)) (|has| |#2| (-6 (-4472 "*")))) ((-742) . 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T) ((-23) . T) ((-25) . T) ((-34) . T) ((-38 |#2|) |has| |#2| (-6 (-4472 "*"))) ((-102) . T) ((-111 |#2| |#2|) . T) ((-132) . T) ((-629 #0=(-420 (-577))) |has| |#2| (-1063 (-420 (-577)))) ((-629 (-577)) . T) ((-629 |#2|) . T) ((-626 (-880)) . T) ((-235 $) -2811 (|has| |#2| (-238)) (|has| |#2| (-239))) ((-233 |#2|) . T) ((-239) |has| |#2| (-239)) ((-238) -2811 (|has| |#2| (-238)) (|has| |#2| (-239))) ((-273 |#2|) . T) ((-320 |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) ((-389 |#2|) . T) ((-424 |#2|) . T) ((-502 |#2|) . T) ((-527 |#2| |#2|) -12 (|has| |#2| (-320 |#2|)) (|has| |#2| (-1125))) ((-662 (-577)) . T) ((-662 |#2|) . T) ((-662 $) . T) ((-664 #1=(-577)) |has| |#2| (-654 (-577))) ((-664 |#2|) . T) ((-664 $) . T) ((-656 |#2|) -2811 (|has| |#2| (-174)) (|has| |#2| (-6 (-4472 "*")))) ((-654 #1#) |has| |#2| (-654 (-577))) ((-654 |#2|) . T) ((-733 |#2|) -2811 (|has| |#2| (-174)) (|has| |#2| (-6 (-4472 "*")))) ((-742) . 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T) ((-23) . T) ((-47 |#1| #0=(-577)) . T) ((-25) . T) ((-38 #1=(-420 (-577))) -3803 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-38 |#1|) |has| |#1| (-174)) ((-38 |#2|) |has| |#1| (-375)) ((-38 $) -3803 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-35) |has| |#1| (-38 (-420 (-577)))) ((-95) |has| |#1| (-38 (-420 (-577)))) ((-102) . T) ((-111 #1# #1#) -3803 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-111 |#1| |#1|) . T) ((-111 |#2| |#2|) |has| |#1| (-375)) ((-111 $ $) -3803 (|has| |#1| (-569)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-132) . T) ((-146) -3803 (-12 (|has| |#1| (-375)) (|has| |#2| (-146))) (|has| |#1| (-146))) ((-148) -3803 (-12 (|has| |#1| (-375)) (|has| |#2| (-148))) (|has| |#1| (-148))) ((-629 #1#) -3803 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-629 (-577)) . T) ((-629 #2=(-1201)) -12 (|has| |#1| (-375)) (|has| |#2| (-1063 (-1201)))) ((-629 |#1|) |has| |#1| (-174)) ((-629 |#2|) . T) ((-629 $) -3803 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-626 (-880)) . T) ((-174) -3803 (|has| |#1| (-569)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-627 (-228)) -12 (|has| |#1| (-375)) (|has| |#2| (-1047))) ((-627 (-391)) -12 (|has| |#1| (-375)) (|has| |#2| (-1047))) ((-627 (-549)) -12 (|has| |#1| (-375)) (|has| |#2| (-627 (-549)))) ((-627 (-911 (-391))) -12 (|has| |#1| (-375)) (|has| |#2| (-627 (-911 (-391))))) ((-627 (-911 (-577))) -12 (|has| |#1| (-375)) (|has| |#2| (-627 (-911 (-577))))) ((-235 $) -3803 (-12 (|has| |#1| (-375)) (|has| |#2| (-238))) (-12 (|has| |#1| (-375)) (|has| |#2| (-239))) (|has| |#1| (-15 * (|#1| (-577) |#1|)))) ((-233 |#2|) |has| |#1| (-375)) ((-239) -3803 (-12 (|has| |#1| (-375)) (|has| |#2| (-239))) (|has| |#1| (-15 * (|#1| (-577) |#1|)))) ((-238) -3803 (-12 (|has| |#1| (-375)) (|has| |#2| (-238))) (-12 (|has| |#1| (-375)) (|has| |#2| (-239))) (|has| |#1| (-15 * (|#1| (-577) |#1|)))) ((-273 |#2|) |has| |#1| (-375)) ((-249) |has| |#1| (-375)) ((-295) |has| |#1| (-38 (-420 (-577)))) ((-297 #0# |#1|) . T) ((-297 |#2| $) -12 (|has| |#1| (-375)) (|has| |#2| (-297 |#2| |#2|))) ((-297 $ $) |has| (-577) (-1137)) ((-301) -3803 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-318) |has| |#1| (-375)) ((-320 |#2|) -12 (|has| |#1| (-375)) (|has| |#2| (-320 |#2|))) ((-375) |has| |#1| (-375)) ((-350 |#2|) |has| |#1| (-375)) ((-389 |#2|) |has| |#1| (-375)) ((-413 |#2|) |has| |#1| (-375)) ((-465) |has| |#1| (-375)) ((-506) |has| |#1| (-38 (-420 (-577)))) ((-527 (-1201) |#2|) -12 (|has| |#1| (-375)) (|has| |#2| (-527 (-1201) |#2|))) ((-527 |#2| |#2|) -12 (|has| |#1| (-375)) (|has| |#2| (-320 |#2|))) ((-569) -3803 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-662 #1#) -3803 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-662 (-577)) . T) ((-662 |#1|) . T) ((-662 |#2|) |has| |#1| (-375)) ((-662 $) . T) ((-664 #1#) -3803 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-664 #3=(-577)) -12 (|has| |#1| (-375)) (|has| |#2| (-654 (-577)))) ((-664 |#1|) . T) ((-664 |#2|) |has| |#1| (-375)) ((-664 $) . T) ((-656 #1#) -3803 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-656 |#1|) |has| |#1| (-174)) ((-656 |#2|) |has| |#1| (-375)) ((-656 $) -3803 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-654 #3#) -12 (|has| |#1| (-375)) (|has| |#2| (-654 (-577)))) ((-654 |#2|) |has| |#1| (-375)) ((-733 #1#) -3803 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-733 |#1|) |has| |#1| (-174)) ((-733 |#2|) |has| |#1| (-375)) ((-733 $) -3803 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-742) . T) ((-807) -12 (|has| |#1| (-375)) (|has| |#2| (-836))) ((-808) -12 (|has| |#1| (-375)) (|has| |#2| (-836))) ((-810) -12 (|has| |#1| (-375)) (|has| |#2| (-836))) ((-811) -12 (|has| |#1| (-375)) (|has| |#2| (-836))) ((-836) -12 (|has| |#1| (-375)) (|has| |#2| (-836))) ((-864) -12 (|has| |#1| (-375)) (|has| |#2| (-836))) ((-865) -3803 (-12 (|has| |#1| (-375)) (|has| |#2| (-865))) (-12 (|has| |#1| (-375)) (|has| |#2| (-836)))) ((-868) -3803 (-12 (|has| |#1| (-375)) (|has| |#2| (-865))) (-12 (|has| |#1| (-375)) (|has| |#2| (-836)))) ((-915 $ #4=(-1201)) -3803 (-12 (|has| |#1| (-375)) (|has| |#2| (-923 (-1201)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-921 (-1201)))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-921 (-1201))))) ((-921 (-1201)) -3803 (-12 (|has| |#1| (-375)) (|has| |#2| (-921 (-1201)))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-921 (-1201))))) ((-923 #4#) -3803 (-12 (|has| |#1| (-375)) (|has| |#2| (-923 (-1201)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-921 (-1201)))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-921 (-1201))))) ((-905 (-391)) -12 (|has| |#1| (-375)) (|has| |#2| (-905 (-391)))) ((-905 (-577)) -12 (|has| |#1| (-375)) (|has| |#2| (-905 (-577)))) ((-903 |#2|) |has| |#1| (-375)) ((-932) -12 (|has| |#1| (-375)) (|has| |#2| (-932))) ((-998 |#1| #0# (-1107)) . T) ((-943) |has| |#1| (-375)) ((-1017 |#2|) |has| |#1| (-375)) ((-1027) |has| |#1| (-38 (-420 (-577)))) ((-1047) -12 (|has| |#1| (-375)) (|has| |#2| (-1047))) ((-1063 (-420 (-577))) -12 (|has| |#1| (-375)) (|has| |#2| (-1063 (-577)))) ((-1063 (-577)) -12 (|has| |#1| (-375)) (|has| |#2| (-1063 (-577)))) ((-1063 #2#) -12 (|has| |#1| (-375)) (|has| |#2| (-1063 (-1201)))) ((-1063 |#2|) . T) ((-1076 #1#) -3803 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-1076 |#1|) . T) ((-1076 |#2|) |has| |#1| (-375)) ((-1076 $) -3803 (|has| |#1| (-569)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-1081 #1#) -3803 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-1081 |#1|) . T) ((-1081 |#2|) |has| |#1| (-375)) ((-1081 $) -3803 (|has| |#1| (-569)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-1074) . T) ((-1083) . T) ((-1137) . T) ((-1125) . T) ((-1177) -12 (|has| |#1| (-375)) (|has| |#2| (-1177))) ((-1227) |has| |#1| (-38 (-420 (-577)))) ((-1230) |has| |#1| (-38 (-420 (-577)))) ((-1242) . T) ((-1246) |has| |#1| (-375)) ((-1252 |#1|) . T) ((-1270 |#1| #0#) . 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T) ((-629 $) -2811 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-626 (-880)) . T) ((-174) -2811 (|has| |#1| (-569)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-627 (-228)) -12 (|has| |#1| (-375)) (|has| |#2| (-1047))) ((-627 (-391)) -12 (|has| |#1| (-375)) (|has| |#2| (-1047))) ((-627 (-549)) -12 (|has| |#1| (-375)) (|has| |#2| (-627 (-549)))) ((-627 (-911 (-391))) -12 (|has| |#1| (-375)) (|has| |#2| (-627 (-911 (-391))))) ((-627 (-911 (-577))) -12 (|has| |#1| (-375)) (|has| |#2| (-627 (-911 (-577))))) ((-235 $) -2811 (-12 (|has| |#1| (-375)) (|has| |#2| (-238))) (-12 (|has| |#1| (-375)) (|has| |#2| (-239))) (|has| |#1| (-15 * (|#1| (-577) |#1|)))) ((-233 |#2|) |has| |#1| (-375)) ((-239) -2811 (-12 (|has| |#1| (-375)) (|has| |#2| (-239))) (|has| |#1| (-15 * (|#1| (-577) |#1|)))) ((-238) -2811 (-12 (|has| |#1| (-375)) (|has| |#2| (-238))) (-12 (|has| |#1| (-375)) (|has| |#2| (-239))) (|has| |#1| (-15 * (|#1| (-577) |#1|)))) ((-273 |#2|) |has| |#1| (-375)) ((-249) |has| |#1| (-375)) ((-295) |has| |#1| (-38 (-420 (-577)))) ((-297 #0# |#1|) . T) ((-297 |#2| $) -12 (|has| |#1| (-375)) (|has| |#2| (-297 |#2| |#2|))) ((-297 $ $) |has| (-577) (-1137)) ((-301) -2811 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-318) |has| |#1| (-375)) ((-320 |#2|) -12 (|has| |#1| (-375)) (|has| |#2| (-320 |#2|))) ((-375) |has| |#1| (-375)) ((-350 |#2|) |has| |#1| (-375)) ((-389 |#2|) |has| |#1| (-375)) ((-413 |#2|) |has| |#1| (-375)) ((-465) |has| |#1| (-375)) ((-506) |has| |#1| (-38 (-420 (-577)))) ((-527 (-1201) |#2|) -12 (|has| |#1| (-375)) (|has| |#2| (-527 (-1201) |#2|))) ((-527 |#2| |#2|) -12 (|has| |#1| (-375)) (|has| |#2| (-320 |#2|))) ((-569) -2811 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-662 #1#) -2811 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-662 (-577)) . T) ((-662 |#1|) . T) ((-662 |#2|) |has| |#1| (-375)) ((-662 $) . T) ((-664 #1#) -2811 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-664 #3=(-577)) -12 (|has| |#1| (-375)) (|has| |#2| (-654 (-577)))) ((-664 |#1|) . T) ((-664 |#2|) |has| |#1| (-375)) ((-664 $) . T) ((-656 #1#) -2811 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-656 |#1|) |has| |#1| (-174)) ((-656 |#2|) |has| |#1| (-375)) ((-656 $) -2811 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-654 #3#) -12 (|has| |#1| (-375)) (|has| |#2| (-654 (-577)))) ((-654 |#2|) |has| |#1| (-375)) ((-733 #1#) -2811 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-733 |#1|) |has| |#1| (-174)) ((-733 |#2|) |has| |#1| (-375)) ((-733 $) -2811 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-742) . T) ((-807) -12 (|has| |#1| (-375)) (|has| |#2| (-836))) ((-808) -12 (|has| |#1| (-375)) (|has| |#2| (-836))) ((-810) -12 (|has| |#1| (-375)) (|has| |#2| (-836))) ((-811) -12 (|has| |#1| (-375)) (|has| |#2| (-836))) ((-836) -12 (|has| |#1| (-375)) (|has| |#2| (-836))) ((-864) -12 (|has| |#1| (-375)) (|has| |#2| (-836))) ((-865) -2811 (-12 (|has| |#1| (-375)) (|has| |#2| (-865))) (-12 (|has| |#1| (-375)) (|has| |#2| (-836)))) ((-868) -2811 (-12 (|has| |#1| (-375)) (|has| |#2| (-865))) (-12 (|has| |#1| (-375)) (|has| |#2| (-836)))) ((-915 $ #4=(-1201)) -2811 (-12 (|has| |#1| (-375)) (|has| |#2| (-923 (-1201)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-921 (-1201)))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-921 (-1201))))) ((-921 (-1201)) -2811 (-12 (|has| |#1| (-375)) (|has| |#2| (-921 (-1201)))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-921 (-1201))))) ((-923 #4#) -2811 (-12 (|has| |#1| (-375)) (|has| |#2| (-923 (-1201)))) (-12 (|has| |#1| (-375)) (|has| |#2| (-921 (-1201)))) (-12 (|has| |#1| (-15 * (|#1| (-577) |#1|))) (|has| |#1| (-921 (-1201))))) ((-905 (-391)) -12 (|has| |#1| (-375)) (|has| |#2| (-905 (-391)))) ((-905 (-577)) -12 (|has| |#1| (-375)) (|has| |#2| (-905 (-577)))) ((-903 |#2|) |has| |#1| (-375)) ((-932) -12 (|has| |#1| (-375)) (|has| |#2| (-932))) ((-998 |#1| #0# (-1107)) . T) ((-943) |has| |#1| (-375)) ((-1017 |#2|) |has| |#1| (-375)) ((-1027) |has| |#1| (-38 (-420 (-577)))) ((-1047) -12 (|has| |#1| (-375)) (|has| |#2| (-1047))) ((-1063 (-420 (-577))) -12 (|has| |#1| (-375)) (|has| |#2| (-1063 (-577)))) ((-1063 (-577)) -12 (|has| |#1| (-375)) (|has| |#2| (-1063 (-577)))) ((-1063 #2#) -12 (|has| |#1| (-375)) (|has| |#2| (-1063 (-1201)))) ((-1063 |#2|) . T) ((-1076 #1#) -2811 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-1076 |#1|) . T) ((-1076 |#2|) |has| |#1| (-375)) ((-1076 $) -2811 (|has| |#1| (-569)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-1081 #1#) -2811 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-1081 |#1|) . T) ((-1081 |#2|) |has| |#1| (-375)) ((-1081 $) -2811 (|has| |#1| (-569)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-1074) . T) ((-1083) . T) ((-1137) . T) ((-1125) . T) ((-1177) -12 (|has| |#1| (-375)) (|has| |#2| (-1177))) ((-1227) |has| |#1| (-38 (-420 (-577)))) ((-1230) |has| |#1| (-38 (-420 (-577)))) ((-1242) . T) ((-1246) |has| |#1| (-375)) ((-1252 |#1|) . T) ((-1270 |#1| #0#) . 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T) ((-174) -3803 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-627 (-549)) -12 (|has| (-1107) (-627 (-549))) (|has| |#1| (-627 (-549)))) ((-627 (-911 (-391))) -12 (|has| (-1107) (-627 (-911 (-391)))) (|has| |#1| (-627 (-911 (-391))))) ((-627 (-911 (-577))) -12 (|has| (-1107) (-627 (-911 (-577)))) (|has| |#1| (-627 (-911 (-577))))) ((-235 $) . T) ((-233 |#1|) . T) ((-239) . T) ((-238) . T) ((-273 |#1|) . T) ((-297 (-420 $) (-420 $)) |has| |#1| (-569)) ((-297 |#1| |#1|) . T) ((-297 $ $) . T) ((-301) -3803 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375))) ((-318) |has| |#1| (-375)) ((-320 $) . T) ((-337 |#1| #0#) . T) ((-389 |#1|) . T) ((-424 |#1|) . T) ((-465) -3803 (|has| |#1| (-932)) (|has| |#1| (-465)) (|has| |#1| (-375))) ((-527 #2# |#1|) . T) ((-527 #2# $) . T) ((-527 $ $) . T) ((-569) -3803 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375))) ((-662 #1#) |has| |#1| (-38 (-420 (-577)))) ((-662 (-577)) . T) ((-662 |#1|) . T) ((-662 $) . T) ((-664 #1#) |has| |#1| (-38 (-420 (-577)))) ((-664 #3=(-577)) |has| |#1| (-654 (-577))) ((-664 |#1|) . T) ((-664 $) . T) ((-656 #1#) |has| |#1| (-38 (-420 (-577)))) ((-656 |#1|) |has| |#1| (-174)) ((-656 $) -3803 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375))) ((-654 #3#) |has| |#1| (-654 (-577))) ((-654 |#1|) . T) ((-733 #1#) |has| |#1| (-38 (-420 (-577)))) ((-733 |#1|) |has| |#1| (-174)) ((-733 $) -3803 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375))) ((-742) . T) ((-915 $ #2#) . T) ((-915 $ #4=(-1201)) -3803 (|has| |#1| (-923 (-1201))) (|has| |#1| (-921 (-1201)))) ((-921 #2#) . T) ((-921 (-1201)) |has| |#1| (-921 (-1201))) ((-923 #2#) . 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T) ((-23) . T) ((-47 |#1| #0=(-787)) . T) ((-25) . T) ((-38 #1=(-420 (-577))) |has| |#1| (-38 (-420 (-577)))) ((-38 |#1|) |has| |#1| (-174)) ((-38 $) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375))) ((-102) . T) ((-111 #1# #1#) |has| |#1| (-38 (-420 (-577)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-629 #1#) -2811 (|has| |#1| (-1063 (-420 (-577)))) (|has| |#1| (-38 (-420 (-577))))) ((-629 (-577)) . T) ((-629 #2=(-1107)) . T) ((-629 |#1|) . T) ((-629 $) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375))) ((-626 (-880)) . T) ((-174) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-627 (-549)) -12 (|has| (-1107) (-627 (-549))) (|has| |#1| (-627 (-549)))) ((-627 (-911 (-391))) -12 (|has| (-1107) (-627 (-911 (-391)))) (|has| |#1| (-627 (-911 (-391))))) ((-627 (-911 (-577))) -12 (|has| (-1107) (-627 (-911 (-577)))) (|has| |#1| (-627 (-911 (-577))))) ((-235 $) . T) ((-233 |#1|) . T) ((-239) . T) ((-238) . T) ((-273 |#1|) . T) ((-297 (-420 $) (-420 $)) |has| |#1| (-569)) ((-297 |#1| |#1|) . T) ((-297 $ $) . T) ((-301) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375))) ((-318) |has| |#1| (-375)) ((-320 $) . T) ((-337 |#1| #0#) . T) ((-389 |#1|) . T) ((-424 |#1|) . T) ((-465) -2811 (|has| |#1| (-932)) (|has| |#1| (-465)) (|has| |#1| (-375))) ((-527 #2# |#1|) . T) ((-527 #2# $) . T) ((-527 $ $) . T) ((-569) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375))) ((-662 #1#) |has| |#1| (-38 (-420 (-577)))) ((-662 (-577)) . T) ((-662 |#1|) . T) ((-662 $) . T) ((-664 #1#) |has| |#1| (-38 (-420 (-577)))) ((-664 #3=(-577)) |has| |#1| (-654 (-577))) ((-664 |#1|) . T) ((-664 $) . T) ((-656 #1#) |has| |#1| (-38 (-420 (-577)))) ((-656 |#1|) |has| |#1| (-174)) ((-656 $) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375))) ((-654 #3#) |has| |#1| (-654 (-577))) ((-654 |#1|) . T) ((-733 #1#) |has| |#1| (-38 (-420 (-577)))) ((-733 |#1|) |has| |#1| (-174)) ((-733 $) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375))) ((-742) . T) ((-915 $ #2#) . T) ((-915 $ #4=(-1201)) -2811 (|has| |#1| (-923 (-1201))) (|has| |#1| (-921 (-1201)))) ((-921 #2#) . T) ((-921 (-1201)) |has| |#1| (-921 (-1201))) ((-923 #2#) . T) ((-923 #4#) -2811 (|has| |#1| (-923 (-1201))) (|has| |#1| (-921 (-1201)))) ((-905 (-391)) -12 (|has| (-1107) (-905 (-391))) (|has| |#1| (-905 (-391)))) ((-905 (-577)) -12 (|has| (-1107) (-905 (-577))) (|has| |#1| (-905 (-577)))) ((-972 |#1| #0# #2#) . T) ((-932) |has| |#1| (-932)) ((-943) |has| |#1| (-375)) ((-1063 (-420 (-577))) |has| |#1| (-1063 (-420 (-577)))) ((-1063 (-577)) |has| |#1| (-1063 (-577))) ((-1063 #2#) . T) ((-1063 |#1|) . T) ((-1076 #1#) |has| |#1| (-38 (-420 (-577)))) ((-1076 |#1|) . T) ((-1076 $) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-1081 #1#) |has| |#1| (-38 (-420 (-577)))) ((-1081 |#1|) . T) ((-1081 $) -2811 (|has| |#1| (-932)) (|has| |#1| (-569)) (|has| |#1| (-465)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-1074) . T) ((-1083) . T) ((-1137) . T) ((-1125) . T) ((-1177) |has| |#1| (-1177)) ((-1242) . 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T) ((-23) . T) ((-47 |#1| #0=(-420 (-577))) . T) ((-25) . T) ((-38 #1=(-420 (-577))) -2811 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-38 |#1|) |has| |#1| (-174)) ((-38 $) -2811 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-35) |has| |#1| (-38 (-420 (-577)))) ((-95) |has| |#1| (-38 (-420 (-577)))) ((-102) . T) ((-111 #1# #1#) -2811 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2811 (|has| |#1| (-569)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-629 #1#) -2811 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-629 (-577)) . T) ((-629 |#1|) |has| |#1| (-174)) ((-629 $) -2811 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-626 (-880)) . 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T) ((-656 #1#) -2811 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-656 |#1|) |has| |#1| (-174)) ((-656 $) -2811 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-733 #1#) -2811 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-733 |#1|) |has| |#1| (-174)) ((-733 $) -2811 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-742) . T) ((-915 $ #2=(-1201)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-921 (-1201)))) ((-921 #2#) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-921 (-1201)))) ((-923 #2#) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-921 (-1201)))) ((-998 |#1| #0# (-1107)) . T) ((-943) |has| |#1| (-375)) ((-1027) |has| |#1| (-38 (-420 (-577)))) ((-1076 #1#) -2811 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-1076 |#1|) . T) ((-1076 $) -2811 (|has| |#1| (-569)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-1081 #1#) -2811 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-1081 |#1|) . T) ((-1081 $) -2811 (|has| |#1| (-569)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-1074) . T) ((-1083) . T) ((-1137) . T) ((-1125) . T) ((-1227) |has| |#1| (-38 (-420 (-577)))) ((-1230) |has| |#1| (-38 (-420 (-577)))) ((-1242) . T) ((-1246) |has| |#1| (-375)) ((-1270 |#1| #0#) . 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T) ((-23) . T) ((-47 |#1| #0=(-420 (-577))) . T) ((-25) . T) ((-38 #1=(-420 (-577))) -3803 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-38 |#1|) |has| |#1| (-174)) ((-38 $) -3803 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-35) |has| |#1| (-38 (-420 (-577)))) ((-95) |has| |#1| (-38 (-420 (-577)))) ((-102) . T) ((-111 #1# #1#) -3803 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-111 |#1| |#1|) . T) ((-111 $ $) -3803 (|has| |#1| (-569)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-629 #1#) -3803 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-629 (-577)) . T) ((-629 |#1|) |has| |#1| (-174)) ((-629 |#2|) . T) ((-629 $) -3803 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-626 (-880)) . T) ((-174) -3803 (|has| |#1| (-569)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-235 $) |has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) ((-239) |has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) ((-238) |has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) ((-249) |has| |#1| (-375)) ((-295) |has| |#1| (-38 (-420 (-577)))) ((-297 #0# |#1|) . T) ((-297 $ $) |has| (-420 (-577)) (-1137)) ((-301) -3803 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-318) |has| |#1| (-375)) ((-375) |has| |#1| (-375)) ((-465) |has| |#1| (-375)) ((-506) |has| |#1| (-38 (-420 (-577)))) ((-569) -3803 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-662 #1#) -3803 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-662 (-577)) . T) ((-662 |#1|) . T) ((-662 $) . T) ((-664 #1#) -3803 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-664 |#1|) . T) ((-664 $) . T) ((-656 #1#) -3803 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-656 |#1|) |has| |#1| (-174)) ((-656 $) -3803 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-733 #1#) -3803 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-733 |#1|) |has| |#1| (-174)) ((-733 $) -3803 (|has| |#1| (-569)) (|has| |#1| (-375))) ((-742) . T) ((-915 $ #2=(-1201)) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-921 (-1201)))) ((-921 #2#) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-921 (-1201)))) ((-923 #2#) -12 (|has| |#1| (-15 * (|#1| (-420 (-577)) |#1|))) (|has| |#1| (-921 (-1201)))) ((-998 |#1| #0# (-1107)) . T) ((-943) |has| |#1| (-375)) ((-1027) |has| |#1| (-38 (-420 (-577)))) ((-1063 |#2|) . T) ((-1076 #1#) -3803 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-1076 |#1|) . T) ((-1076 $) -3803 (|has| |#1| (-569)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-1081 #1#) -3803 (|has| |#1| (-375)) (|has| |#1| (-38 (-420 (-577))))) ((-1081 |#1|) . T) ((-1081 $) -3803 (|has| |#1| (-569)) (|has| |#1| (-375)) (|has| |#1| (-174))) ((-1074) . T) ((-1083) . T) ((-1137) . T) ((-1125) . T) ((-1227) |has| |#1| (-38 (-420 (-577)))) ((-1230) |has| |#1| (-38 (-420 (-577)))) ((-1242) . T) ((-1246) |has| |#1| (-375)) ((-1270 |#1| #0#) . T) ((-1273 |#1|) . 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"WHILEAST" 3412001 T WHILEAST (NIL) -8 NIL NIL NIL) (-1302 3411009 3411314 3411408 "WHEREAST" 3411525 T WHEREAST (NIL) -8 NIL NIL NIL) (-1301 3409883 3410093 3410388 "WFFINTBS" 3410806 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1300 3407751 3408214 3408676 "WEIER" 3409455 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1299 3406675 3407233 3407275 "VSPACE" 3407411 NIL VSPACE (NIL T) -9 NIL 3407485 NIL) (-1298 3406507 3406540 3406631 "VSPACE-" 3406636 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1297 3406304 3406358 3406426 "VOID" 3406461 T VOID (NIL) -8 NIL NIL NIL) (-1296 3404404 3404799 3405205 "VIEW" 3405920 T VIEW (NIL) -7 NIL NIL NIL) (-1295 3400672 3401467 3402204 "VIEWDEF" 3403689 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1294 3389616 3392220 3394393 "VIEW3D" 3398521 T VIEW3D (NIL) -8 NIL NIL NIL) (-1293 3381633 3383527 3385106 "VIEW2D" 3388059 T VIEW2D (NIL) -8 NIL NIL NIL) (-1292 3376539 3381403 3381495 "VECTOR" 3381576 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1291 3375092 3375375 3375693 "VECTOR2" 3376269 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1290 3368046 3372796 3372839 "VECTCAT" 3373834 NIL VECTCAT (NIL T) -9 NIL 3374421 NIL) (-1289 3366988 3367314 3367704 "VECTCAT-" 3367709 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1288 3366394 3366639 3366759 "VARIABLE" 3366903 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1287 3366327 3366332 3366362 "UTYPE" 3366367 T UTYPE (NIL) -9 NIL NIL NIL) (-1286 3365135 3365311 3365573 "UTSODETL" 3366153 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1285 3362527 3363035 3363559 "UTSODE" 3364676 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1284 3353837 3360288 3360768 "UTS" 3362105 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1283 3343845 3349771 3349814 "UTSCAT" 3350926 NIL UTSCAT (NIL T) -9 NIL 3351684 NIL) (-1282 3340971 3341915 3342904 "UTSCAT-" 3342909 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1281 3340592 3340641 3340774 "UTS2" 3340922 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1280 3334459 3337402 3337445 "URAGG" 3339515 NIL URAGG (NIL T) -9 NIL 3340238 NIL) (-1279 3331182 3332261 3333384 "URAGG-" 3333389 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1278 3326551 3329817 3330282 "UPXSSING" 3330846 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1277 3318029 3325933 3326197 "UPXS" 3326345 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1276 3310444 3317933 3318005 "UPXSCONS" 3318010 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1275 3299193 3306647 3306709 "UPXSCCA" 3307283 NIL UPXSCCA (NIL T T) -9 NIL 3307516 NIL) (-1274 3298813 3298916 3299090 "UPXSCCA-" 3299095 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1273 3287462 3294641 3294684 "UPXSCAT" 3295332 NIL UPXSCAT (NIL T) -9 NIL 3295941 NIL) (-1272 3286886 3286971 3287150 "UPXS2" 3287377 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1271 3285522 3285793 3286144 "UPSQFREE" 3286629 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1270 3278352 3281790 3281845 "UPSCAT" 3282925 NIL UPSCAT (NIL T T) -9 NIL 3283690 NIL) (-1269 3277508 3277763 3278090 "UPSCAT-" 3278095 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1268 3261642 3270635 3270678 "UPOLYC" 3272779 NIL UPOLYC (NIL T) -9 NIL 3274000 NIL) (-1267 3252490 3255396 3258543 "UPOLYC-" 3258548 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1266 3252111 3252160 3252293 "UPOLYC2" 3252441 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1265 3242686 3251794 3251923 "UP" 3252030 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1264 3242007 3242132 3242296 "UPMP" 3242575 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1263 3241554 3241641 3241780 "UPDIVP" 3241920 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1262 3240092 3240371 3240687 "UPDECOMP" 3241303 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1261 3239305 3239435 3239621 "UPCDEN" 3239976 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1260 3238818 3238893 3239042 "UP2" 3239230 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1259 3237171 3238022 3238299 "UNISEG" 3238576 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1258 3236376 3236513 3236718 "UNISEG2" 3237014 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1257 3235418 3235616 3235842 "UNIFACT" 3236192 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1256 3217228 3234730 3234972 "ULS" 3235234 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1255 3203938 3217132 3217204 "ULSCONS" 3217209 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1254 3183739 3197019 3197081 "ULSCCAT" 3197719 NIL ULSCCAT (NIL T T) -9 NIL 3198008 NIL) (-1253 3182735 3183034 3183422 "ULSCCAT-" 3183427 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1252 3171181 3178282 3178325 "ULSCAT" 3179188 NIL ULSCAT (NIL T) -9 NIL 3179919 NIL) (-1251 3170605 3170690 3170869 "ULS2" 3171096 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1250 3169616 3170234 3170341 "UINT8" 3170452 T UINT8 (NIL) -8 NIL NIL 3170537) (-1249 3168626 3169244 3169351 "UINT64" 3169462 T UINT64 (NIL) -8 NIL NIL 3169547) (-1248 3167636 3168254 3168361 "UINT32" 3168472 T UINT32 (NIL) -8 NIL NIL 3168557) (-1247 3166646 3167264 3167371 "UINT16" 3167482 T UINT16 (NIL) -8 NIL NIL 3167567) (-1246 3164725 3165892 3165922 "UFD" 3166134 T UFD (NIL) -9 NIL 3166248 NIL) (-1245 3164507 3164565 3164660 "UFD-" 3164665 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1244 3163565 3163772 3163988 "UDVO" 3164313 T UDVO (NIL) -7 NIL NIL NIL) (-1243 3161331 3161790 3162261 "UDPO" 3163129 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1242 3161264 3161269 3161299 "TYPE" 3161304 T TYPE (NIL) -9 NIL NIL NIL) (-1241 3160976 3161219 3161250 "TYPEAST" 3161255 T TYPEAST (NIL) -8 NIL NIL NIL) (-1240 3159929 3160149 3160389 "TWOFACT" 3160770 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1239 3158904 3159338 3159573 "TUPLE" 3159729 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1238 3156541 3157114 3157653 "TUBETOOL" 3158387 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1237 3155354 3155595 3155836 "TUBE" 3156334 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1236 3149533 3154326 3154609 "TS" 3155106 NIL TS (NIL T) -8 NIL NIL NIL) (-1235 3137675 3142290 3142387 "TSETCAT" 3147656 NIL TSETCAT (NIL T T T T) -9 NIL 3149188 NIL) (-1234 3132143 3134007 3135898 "TSETCAT-" 3135903 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1233 3126616 3127629 3128558 "TRMANIP" 3131279 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1232 3126045 3126120 3126283 "TRIMAT" 3126548 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1231 3123857 3124148 3124505 "TRIGMNIP" 3125794 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1230 3123341 3123490 3123520 "TRIGCAT" 3123733 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1229 3122986 3123089 3123230 "TRIGCAT-" 3123235 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1228 3119600 3121844 3122125 "TREE" 3122740 NIL TREE (NIL T) -8 NIL NIL NIL) (-1227 3118706 3119402 3119432 "TRANFUN" 3119467 T TRANFUN (NIL) -9 NIL 3119533 NIL) (-1226 3117925 3118176 3118456 "TRANFUN-" 3118461 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1225 3117723 3117761 3117822 "TOPSP" 3117886 T TOPSP (NIL) -7 NIL NIL NIL) (-1224 3117053 3117186 3117340 "TOOLSIGN" 3117604 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1223 3115567 3116230 3116469 "TEXTFILE" 3116836 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1222 3113371 3114020 3114449 "TEX" 3115160 T TEX (NIL) -8 NIL NIL NIL) (-1221 3113146 3113183 3113255 "TEX1" 3113334 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1220 3112782 3112857 3112947 "TEMUTL" 3113078 T TEMUTL (NIL) -7 NIL NIL NIL) (-1219 3110876 3111216 3111541 "TBCMPPK" 3112505 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1218 3102203 3108962 3109018 "TBAGG" 3109418 NIL TBAGG (NIL T T) -9 NIL 3109629 NIL) (-1217 3097087 3098761 3100515 "TBAGG-" 3100520 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1216 3096453 3096578 3096723 "TANEXP" 3096976 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1215 3095904 3096228 3096318 "TALGOP" 3096398 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1214 3088918 3095761 3095854 "TABLE" 3095859 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1213 3088312 3088429 3088567 "TABLEAU" 3088815 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1212 3082842 3084140 3085388 "TABLBUMP" 3087098 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1211 3082052 3082211 3082392 "SYSTEM" 3082683 T SYSTEM (NIL) -8 NIL NIL NIL) (-1210 3078457 3079210 3079993 "SYSSOLP" 3081303 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1209 3078219 3078412 3078443 "SYSPTR" 3078448 T SYSPTR (NIL) -8 NIL NIL NIL) (-1208 3077147 3077760 3077879 "SYSNNI" 3078065 NIL SYSNNI (NIL NIL) -8 NIL NIL 3078150) (-1207 3076350 3076905 3076984 "SYSINT" 3077044 NIL SYSINT (NIL NIL) -8 NIL NIL 3077089) (-1206 3072448 3073628 3074338 "SYNTAX" 3075662 T SYNTAX (NIL) -8 NIL NIL NIL) (-1205 3069528 3070208 3070840 "SYMTAB" 3071838 T SYMTAB (NIL) -8 NIL NIL NIL) (-1204 3064627 3065679 3066662 "SYMS" 3068567 T SYMS (NIL) -8 NIL NIL NIL) (-1203 3061542 3064085 3064315 "SYMPOLY" 3064432 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1202 3061047 3061134 3061257 "SYMFUNC" 3061454 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1201 3056845 3058359 3059172 "SYMBOL" 3060256 T SYMBOL (NIL) -8 NIL NIL NIL) (-1200 3050318 3052073 3053793 "SWITCH" 3055147 T SWITCH (NIL) -8 NIL NIL NIL) (-1199 3043072 3049274 3049568 "SUTS" 3050082 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1198 3034550 3042454 3042718 "SUPXS" 3042866 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1197 3025073 3034168 3034294 "SUP" 3034459 NIL SUP (NIL T) -8 NIL NIL NIL) (-1196 3024220 3024359 3024576 "SUPFRACF" 3024941 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1195 3023835 3023900 3024013 "SUP2" 3024155 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1194 3022259 3022557 3022913 "SUMRF" 3023534 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1193 3021582 3021660 3021852 "SUMFS" 3022180 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1192 3003427 3020894 3021136 "SULS" 3021398 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1191 3002975 3003249 3003319 "SUCHTAST" 3003379 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1190 3002216 3002500 3002640 "SUCH" 3002883 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1189 2995855 2997122 2998081 "SUBSPACE" 3001304 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1188 2995275 2995375 2995539 "SUBRESP" 2995743 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1187 2988469 2989940 2991251 "STTF" 2994011 NIL STTF (NIL T) -7 NIL NIL NIL) (-1186 2982480 2983762 2984909 "STTFNC" 2987369 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1185 2973597 2975662 2977456 "STTAYLOR" 2980721 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1184 2966351 2973461 2973544 "STRTBL" 2973549 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1183 2960748 2966060 2966159 "STRING" 2966274 T STRING (NIL) -8 NIL NIL NIL) (-1182 2952858 2958367 2958978 "STREAM" 2960172 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1181 2952362 2952445 2952589 "STREAM3" 2952775 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1180 2951326 2951527 2951762 "STREAM2" 2952175 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1179 2951008 2951066 2951159 "STREAM1" 2951268 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1178 2950000 2950205 2950436 "STINPROD" 2950824 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1177 2949496 2949748 2949778 "STEP" 2949858 T STEP (NIL) -9 NIL 2949936 NIL) (-1176 2948611 2948985 2949133 "STEPAST" 2949370 T STEPAST (NIL) -8 NIL NIL NIL) (-1175 2941667 2948510 2948587 "STBL" 2948592 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1174 2936225 2940830 2940873 "STAGG" 2941026 NIL STAGG (NIL T) -9 NIL 2941115 NIL) (-1173 2933777 2934529 2935401 "STAGG-" 2935406 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1172 2931749 2933547 2933639 "STACK" 2933720 NIL STACK (NIL T) -8 NIL NIL NIL) (-1171 2923756 2929890 2930346 "SREGSET" 2931379 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1170 2916103 2917550 2919063 "SRDCMPK" 2922362 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1169 2908412 2913462 2913492 "SRAGG" 2914795 T SRAGG (NIL) -9 NIL 2915403 NIL) (-1168 2907363 2907684 2908063 "SRAGG-" 2908068 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1167 2900947 2906310 2906731 "SQMATRIX" 2906989 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1166 2894359 2897665 2898392 "SPLTREE" 2900292 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1165 2890184 2891015 2891661 "SPLNODE" 2893785 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1164 2889159 2889464 2889494 "SPFCAT" 2889938 T SPFCAT (NIL) -9 NIL NIL NIL) (-1163 2887854 2888106 2888370 "SPECOUT" 2888917 T SPECOUT (NIL) -7 NIL NIL NIL) (-1162 2878506 2880822 2880852 "SPADXPT" 2885528 T SPADXPT (NIL) -9 NIL 2887692 NIL) (-1161 2878261 2878307 2878376 "SPADPRSR" 2878459 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1160 2875866 2878216 2878247 "SPADAST" 2878252 T SPADAST (NIL) -8 NIL NIL NIL) (-1159 2867467 2869570 2869613 "SPACEC" 2873986 NIL SPACEC (NIL T) -9 NIL 2875802 NIL) (-1158 2865267 2867399 2867448 "SPACE3" 2867453 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1157 2863999 2864190 2864481 "SORTPAK" 2865072 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1156 2862061 2862394 2862806 "SOLVETRA" 2863663 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1155 2861099 2861333 2861594 "SOLVESER" 2861834 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1154 2856331 2857291 2858286 "SOLVERAD" 2860151 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1153 2852056 2852755 2853484 "SOLVEFOR" 2855698 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1152 2845667 2851404 2851501 "SNTSCAT" 2851506 NIL SNTSCAT (NIL T T T T) -9 NIL 2851576 NIL) (-1151 2839211 2843990 2844381 "SMTS" 2845357 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1150 2832926 2839099 2839176 "SMP" 2839181 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1149 2831055 2831386 2831784 "SMITH" 2832623 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1148 2822587 2827634 2827737 "SMATCAT" 2829088 NIL SMATCAT (NIL NIL T T T) -9 NIL 2829638 NIL) (-1147 2819359 2820350 2821528 "SMATCAT-" 2821533 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1146 2816828 2818567 2818610 "SKAGG" 2818871 NIL SKAGG (NIL T) -9 NIL 2819006 NIL) (-1145 2812322 2816301 2816485 "SINT" 2816637 T SINT (NIL) -8 NIL NIL 2816799) (-1144 2812088 2812132 2812198 "SIMPAN" 2812278 T SIMPAN (NIL) -7 NIL NIL NIL) (-1143 2811313 2811623 2811763 "SIG" 2811970 T SIG (NIL) -8 NIL NIL NIL) (-1142 2810133 2810372 2810647 "SIGNRF" 2811072 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1141 2808948 2809117 2809401 "SIGNEF" 2809962 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1140 2808188 2808531 2808655 "SIGAST" 2808846 T SIGAST (NIL) -8 NIL NIL NIL) (-1139 2805840 2806332 2806838 "SHP" 2807729 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1138 2799213 2805741 2805817 "SHDP" 2805822 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1137 2798724 2798964 2798994 "SGROUP" 2799087 T SGROUP (NIL) -9 NIL 2799149 NIL) (-1136 2798576 2798608 2798681 "SGROUP-" 2798686 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1135 2795295 2796065 2796788 "SGCF" 2797875 T SGCF (NIL) -7 NIL NIL NIL) (-1134 2789004 2794741 2794838 "SFRTCAT" 2794843 NIL SFRTCAT (NIL T T T T) -9 NIL 2794882 NIL) (-1133 2782323 2783443 2784579 "SFRGCD" 2787987 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1132 2775341 2776522 2777708 "SFQCMPK" 2781256 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1131 2774943 2775050 2775161 "SFORT" 2775282 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1130 2773869 2774783 2774904 "SEXOF" 2774909 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1129 2772784 2773750 2773818 "SEX" 2773823 T SEX (NIL) -8 NIL NIL NIL) (-1128 2768373 2769280 2769375 "SEXCAT" 2771997 NIL SEXCAT (NIL T T T T T) -9 NIL 2772557 NIL) (-1127 2765182 2768307 2768355 "SET" 2768360 NIL SET (NIL T) -8 NIL NIL NIL) (-1126 2763304 2763895 2764200 "SETMN" 2764923 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1125 2762834 2763022 2763052 "SETCAT" 2763169 T SETCAT (NIL) -9 NIL 2763254 NIL) (-1124 2762602 2762666 2762765 "SETCAT-" 2762770 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1123 2758705 2761063 2761106 "SETAGG" 2761976 NIL SETAGG (NIL T) -9 NIL 2762316 NIL) (-1122 2758127 2758279 2758516 "SETAGG-" 2758521 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1121 2757510 2757823 2757924 "SEQAST" 2758048 T SEQAST (NIL) -8 NIL NIL NIL) (-1120 2756637 2757003 2757064 "SEGXCAT" 2757350 NIL SEGXCAT (NIL T T) -9 NIL 2757470 NIL) (-1119 2755553 2756303 2756485 "SEG" 2756490 NIL SEG (NIL T) -8 NIL NIL NIL) (-1118 2754478 2754746 2754789 "SEGCAT" 2755311 NIL SEGCAT (NIL T) -9 NIL 2755532 NIL) (-1117 2753368 2753841 2754049 "SEGBIND" 2754305 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1116 2752983 2753048 2753161 "SEGBIND2" 2753303 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1115 2752502 2752784 2752861 "SEGAST" 2752928 T SEGAST (NIL) -8 NIL NIL NIL) (-1114 2751711 2751847 2752051 "SEG2" 2752346 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1113 2750944 2751646 2751693 "SDVAR" 2751698 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1112 2742295 2750714 2750844 "SDPOL" 2750849 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1111 2740864 2741154 2741473 "SCPKG" 2742010 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1110 2739986 2740200 2740392 "SCOPE" 2740694 T SCOPE (NIL) -8 NIL NIL NIL) (-1109 2739182 2739340 2739519 "SCACHE" 2739841 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1108 2738766 2739000 2739030 "SASTCAT" 2739035 T SASTCAT (NIL) -9 NIL 2739048 NIL) (-1107 2738169 2738601 2738677 "SAOS" 2738712 T SAOS (NIL) -8 NIL NIL NIL) (-1106 2737728 2737769 2737942 "SAERFFC" 2738128 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1105 2730755 2737625 2737705 "SAE" 2737710 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1104 2730342 2730383 2730542 "SAEFACT" 2730714 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1103 2728645 2728977 2729378 "RURPK" 2730008 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1102 2727222 2727588 2727893 "RULESET" 2728479 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1101 2724337 2724975 2725433 "RULE" 2726903 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1100 2723907 2724131 2724214 "RULECOLD" 2724289 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1099 2723691 2723725 2723796 "RTVALUE" 2723858 T RTVALUE (NIL) -8 NIL NIL NIL) (-1098 2723102 2723408 2723502 "RSTRCAST" 2723619 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1097 2717872 2718745 2719665 "RSETGCD" 2722301 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1096 2706443 2712180 2712277 "RSETCAT" 2716396 NIL RSETCAT (NIL T T T T) -9 NIL 2717493 NIL) (-1095 2704262 2704909 2705733 "RSETCAT-" 2705738 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1094 2696570 2698024 2699544 "RSDCMPK" 2702861 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1093 2694439 2695002 2695076 "RRCC" 2696162 NIL RRCC (NIL T T) -9 NIL 2696506 NIL) (-1092 2693760 2693964 2694243 "RRCC-" 2694248 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1091 2693143 2693456 2693557 "RPTAST" 2693681 T RPTAST (NIL) -8 NIL NIL NIL) (-1090 2665529 2676255 2676322 "RPOLCAT" 2686988 NIL RPOLCAT (NIL T T T) -9 NIL 2690148 NIL) (-1089 2656499 2659367 2662489 "RPOLCAT-" 2662494 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1088 2646952 2654710 2655192 "ROUTINE" 2656039 T ROUTINE (NIL) -8 NIL NIL NIL) (-1087 2643001 2646578 2646718 "ROMAN" 2646834 T ROMAN (NIL) -8 NIL NIL NIL) (-1086 2641113 2641861 2642121 "ROIRC" 2642806 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1085 2636831 2639602 2639632 "RNS" 2639936 T RNS (NIL) -9 NIL 2640210 NIL) (-1084 2635238 2635723 2636257 "RNS-" 2636332 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1083 2634531 2635035 2635065 "RNG" 2635070 T RNG (NIL) -9 NIL 2635091 NIL) (-1082 2633492 2633896 2634098 "RNGBIND" 2634382 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1081 2632787 2633265 2633308 "RMODULE" 2633313 NIL RMODULE (NIL T) -9 NIL 2633340 NIL) (-1080 2631611 2631717 2632053 "RMCAT2" 2632688 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1079 2628113 2630957 2631254 "RMATRIX" 2631373 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1078 2620612 2623200 2623315 "RMATCAT" 2626674 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2627656 NIL) (-1077 2619951 2620134 2620441 "RMATCAT-" 2620446 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1076 2619524 2619738 2619781 "RLINSET" 2619843 NIL RLINSET (NIL T) -9 NIL 2619887 NIL) (-1075 2619085 2619166 2619294 "RINTERP" 2619443 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1074 2618009 2618683 2618713 "RING" 2618769 T RING (NIL) -9 NIL 2618861 NIL) (-1073 2617789 2617845 2617942 "RING-" 2617947 NIL RING- (NIL T) -8 NIL NIL NIL) (-1072 2616600 2616867 2617125 "RIDIST" 2617553 T RIDIST (NIL) -7 NIL NIL NIL) (-1071 2607225 2616068 2616274 "RGCHAIN" 2616448 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1070 2606483 2606967 2607008 "RGBCSPC" 2607066 NIL RGBCSPC (NIL T) -9 NIL 2607118 NIL) (-1069 2605549 2606008 2606049 "RGBCMDL" 2606281 NIL RGBCMDL (NIL T) -9 NIL 2606395 NIL) (-1068 2602489 2603157 2603827 "RF" 2604913 NIL RF (NIL T) -7 NIL NIL NIL) (-1067 2602129 2602198 2602301 "RFFACTOR" 2602420 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1066 2601848 2601889 2601986 "RFFACT" 2602088 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1065 2599899 2600329 2600711 "RFDIST" 2601488 T RFDIST (NIL) -7 NIL NIL NIL) (-1064 2599346 2599444 2599607 "RETSOL" 2599801 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1063 2598964 2599062 2599105 "RETRACT" 2599238 NIL RETRACT (NIL T) -9 NIL 2599325 NIL) (-1062 2598807 2598838 2598925 "RETRACT-" 2598930 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1061 2598355 2598629 2598699 "RETAST" 2598759 T RETAST (NIL) -8 NIL NIL NIL) (-1060 2590705 2598008 2598135 "RESULT" 2598250 T RESULT (NIL) -8 NIL NIL NIL) (-1059 2589140 2589974 2590173 "RESRING" 2590608 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1058 2588764 2588825 2588923 "RESLATC" 2589077 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1057 2588463 2588504 2588611 "REPSQ" 2588723 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1056 2585843 2586465 2587067 "REP" 2587883 T REP (NIL) -7 NIL NIL NIL) (-1055 2585534 2585575 2585686 "REPDB" 2585802 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1054 2579366 2580823 2582046 "REP2" 2584346 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1053 2575669 2576424 2577232 "REP1" 2578593 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1052 2567677 2573810 2574266 "REGSET" 2575299 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1051 2566386 2566825 2567075 "REF" 2567462 NIL REF (NIL T) -8 NIL NIL NIL) (-1050 2565751 2565866 2566033 "REDORDER" 2566270 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1049 2561115 2564964 2565191 "RECLOS" 2565579 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1048 2560149 2560348 2560563 "REALSOLV" 2560922 T REALSOLV (NIL) -7 NIL NIL NIL) (-1047 2559983 2560036 2560066 "REAL" 2560071 T REAL (NIL) -9 NIL 2560106 NIL) (-1046 2556430 2557268 2558152 "REAL0Q" 2559148 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1045 2551983 2553019 2554080 "REAL0" 2555411 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1044 2551394 2551700 2551794 "RDUCEAST" 2551911 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1043 2550793 2550871 2551078 "RDIV" 2551316 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1042 2549843 2550035 2550248 "RDIST" 2550615 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1041 2548428 2548727 2549099 "RDETRS" 2549551 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1040 2546222 2546694 2547232 "RDETR" 2547970 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1039 2544841 2545125 2545522 "RDEEFS" 2545938 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1038 2543344 2543656 2544081 "RDEEF" 2544529 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1037 2536821 2540298 2540328 "RCFIELD" 2541623 T RCFIELD (NIL) -9 NIL 2542354 NIL) (-1036 2534777 2535389 2536085 "RCFIELD-" 2536160 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1035 2530829 2532850 2532893 "RCAGG" 2533977 NIL RCAGG (NIL T) -9 NIL 2534442 NIL) (-1034 2530439 2530551 2530714 "RCAGG-" 2530719 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1033 2529756 2529886 2530051 "RATRET" 2530323 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1032 2529297 2529376 2529497 "RATFACT" 2529684 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1031 2528575 2528725 2528877 "RANDSRC" 2529167 T RANDSRC (NIL) -7 NIL NIL NIL) (-1030 2528303 2528353 2528426 "RADUTIL" 2528524 T RADUTIL (NIL) -7 NIL NIL NIL) (-1029 2520427 2527134 2527445 "RADIX" 2528026 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1028 2510021 2520269 2520399 "RADFF" 2520404 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-1027 2509650 2509743 2509773 "RADCAT" 2509933 T RADCAT (NIL) -9 NIL NIL NIL) (-1026 2509420 2509480 2509580 "RADCAT-" 2509585 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-1025 2507331 2509190 2509282 "QUEUE" 2509363 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-1024 2503170 2507264 2507312 "QUAT" 2507317 NIL QUAT (NIL T) -8 NIL NIL NIL) (-1023 2502795 2502844 2502975 "QUATCT2" 2503121 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-1022 2495171 2499218 2499260 "QUATCAT" 2500051 NIL QUATCAT (NIL T) -9 NIL 2500817 NIL) (-1021 2491052 2492347 2493737 "QUATCAT-" 2493833 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-1020 2488308 2490100 2490143 "QUAGG" 2490524 NIL QUAGG (NIL T) -9 NIL 2490699 NIL) (-1019 2487856 2488130 2488200 "QQUTAST" 2488260 T QQUTAST (NIL) -8 NIL NIL NIL) (-1018 2486767 2487369 2487534 "QFORM" 2487737 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-1017 2476443 2482614 2482656 "QFCAT" 2483324 NIL QFCAT (NIL T) -9 NIL 2484325 NIL) (-1016 2471758 2473211 2474805 "QFCAT-" 2474901 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-1015 2471383 2471432 2471563 "QFCAT2" 2471709 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-1014 2470814 2470948 2471080 "QEQUAT" 2471273 T QEQUAT (NIL) -8 NIL NIL NIL) (-1013 2463832 2465013 2466199 "QCMPACK" 2469747 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-1012 2461282 2461818 2462248 "QALGSET" 2463487 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-1011 2460511 2460693 2460929 "QALGSET2" 2461100 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-1010 2459178 2459420 2459739 "PWFFINTB" 2460284 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-1009 2457323 2457521 2457877 "PUSHVAR" 2458992 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-1008 2453050 2454266 2454309 "PTRANFN" 2456220 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-1007 2451387 2451732 2452056 "PTPACK" 2452761 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-1006 2451010 2451073 2451184 "PTFUNC2" 2451324 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-1005 2444935 2449799 2449842 "PTCAT" 2450142 NIL PTCAT (NIL T) -9 NIL 2450295 NIL) (-1004 2444584 2444625 2444751 "PSQFR" 2444894 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-1003 2443156 2443472 2443808 "PSEUDLIN" 2444282 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-1002 2429676 2432251 2434577 "PSETPK" 2440916 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-1001 2422384 2425412 2425510 "PSETCAT" 2428551 NIL PSETCAT (NIL T T T T) -9 NIL 2429365 NIL) (-1000 2420109 2420851 2421675 "PSETCAT-" 2421680 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-999 2419428 2419623 2419651 "PSCURVE" 2419919 T PSCURVE (NIL) -9 NIL 2420086 NIL) (-998 2415154 2416928 2416993 "PSCAT" 2417837 NIL PSCAT (NIL T T T) -9 NIL 2418077 NIL) (-997 2414151 2414433 2414833 "PSCAT-" 2414838 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-996 2412360 2413220 2413483 "PRTITION" 2413908 T PRTITION (NIL) -8 NIL NIL NIL) (-995 2411775 2412081 2412173 "PRTDAST" 2412288 T PRTDAST (NIL) -8 NIL NIL NIL) (-994 2400657 2403079 2405267 "PRS" 2409637 NIL PRS (NIL T T) -7 NIL NIL NIL) (-993 2398277 2399979 2400019 "PRQAGG" 2400202 NIL PRQAGG (NIL T) -9 NIL 2400304 NIL) (-992 2397547 2397918 2397946 "PROPLOG" 2398085 T PROPLOG (NIL) -9 NIL 2398200 NIL) (-991 2397145 2397208 2397331 "PROPFUN2" 2397470 NIL PROPFUN2 (NIL T T) -8 NIL NIL NIL) (-990 2396442 2396581 2396753 "PROPFUN1" 2397006 NIL PROPFUN1 (NIL T) -8 NIL NIL NIL) (-989 2394503 2395189 2395486 "PROPFRML" 2396178 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-988 2393948 2394079 2394207 "PROPERTY" 2394395 T PROPERTY (NIL) -8 NIL NIL NIL) (-987 2387836 2392114 2392934 "PRODUCT" 2393174 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-986 2384794 2387294 2387528 "PR" 2387647 NIL PR (NIL T T) -8 NIL NIL NIL) (-985 2384584 2384622 2384681 "PRINT" 2384755 T PRINT (NIL) -7 NIL NIL NIL) (-984 2383900 2384041 2384193 "PRIMES" 2384464 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-983 2381947 2382366 2382832 "PRIMELT" 2383479 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-982 2381664 2381725 2381753 "PRIMCAT" 2381877 T PRIMCAT (NIL) -9 NIL NIL NIL) (-981 2377386 2381602 2381647 "PRIMARR" 2381652 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-980 2376375 2376571 2376799 "PRIMARR2" 2377204 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-979 2376012 2376074 2376185 "PREASSOC" 2376313 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-978 2375463 2375620 2375648 "PPCURVE" 2375853 T PPCURVE (NIL) -9 NIL 2375989 NIL) (-977 2375010 2375258 2375341 "PORTNUM" 2375400 T PORTNUM (NIL) -8 NIL NIL NIL) (-976 2372347 2372768 2373360 "POLYROOT" 2374591 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-975 2365555 2371951 2372111 "POLY" 2372220 NIL POLY (NIL T) -8 NIL NIL NIL) (-974 2364932 2364996 2365230 "POLYLIFT" 2365491 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-973 2361153 2361656 2362285 "POLYCATQ" 2364477 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-972 2346801 2352900 2352965 "POLYCAT" 2356479 NIL POLYCAT (NIL T T T) -9 NIL 2358357 NIL) (-971 2339920 2342112 2344496 "POLYCAT-" 2344501 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-970 2339501 2339575 2339695 "POLY2UP" 2339846 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-969 2339127 2339190 2339299 "POLY2" 2339438 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-968 2337788 2338051 2338327 "POLUTIL" 2338901 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-967 2336107 2336420 2336751 "POLTOPOL" 2337510 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-966 2331103 2336041 2336088 "POINT" 2336093 NIL POINT (NIL T) -8 NIL NIL NIL) (-965 2329236 2329647 2330022 "PNTHEORY" 2330748 T PNTHEORY (NIL) -7 NIL NIL NIL) (-964 2327682 2327991 2328390 "PMTOOLS" 2328934 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-963 2327269 2327353 2327470 "PMSYM" 2327598 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-962 2326771 2326846 2327021 "PMQFCAT" 2327194 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-961 2326114 2326236 2326392 "PMPRED" 2326648 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-960 2325495 2325593 2325755 "PMPREDFS" 2326015 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-959 2324149 2324367 2324745 "PMPLCAT" 2325257 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-958 2323675 2323760 2323912 "PMLSAGG" 2324064 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-957 2323142 2323224 2323406 "PMKERNEL" 2323593 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-956 2322753 2322834 2322947 "PMINS" 2323061 NIL PMINS (NIL T) -7 NIL NIL NIL) (-955 2322189 2322264 2322473 "PMFS" 2322678 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-954 2321405 2321535 2321740 "PMDOWN" 2322066 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-953 2320548 2320730 2320911 "PMASS" 2321244 T PMASS (NIL) -7 NIL NIL NIL) (-952 2319797 2319931 2320094 "PMASSFS" 2320435 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-951 2319446 2319520 2319614 "PLOTTOOL" 2319723 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-950 2313867 2315257 2316405 "PLOT" 2318318 T PLOT (NIL) -8 NIL NIL NIL) (-949 2309521 2310715 2311636 "PLOT3D" 2312966 T PLOT3D (NIL) -8 NIL NIL NIL) (-948 2308409 2308610 2308845 "PLOT1" 2309325 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-947 2283584 2288475 2293326 "PLEQN" 2303675 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-946 2282890 2283024 2283204 "PINTERP" 2283449 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-945 2282577 2282630 2282733 "PINTERPA" 2282837 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-944 2281673 2282341 2282428 "PI" 2282468 T PI (NIL) -8 NIL NIL 2282535) (-943 2279758 2280931 2280959 "PID" 2281141 T PID (NIL) -9 NIL 2281275 NIL) (-942 2279503 2279546 2279621 "PICOERCE" 2279715 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-941 2278811 2278962 2279138 "PGROEB" 2279359 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-940 2274254 2275212 2276117 "PGE" 2277926 T PGE (NIL) -7 NIL NIL NIL) (-939 2272335 2272624 2272990 "PGCD" 2273971 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-938 2271661 2271776 2271937 "PFRPAC" 2272219 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-937 2267911 2270209 2270562 "PFR" 2271340 NIL PFR (NIL T) -8 NIL NIL NIL) (-936 2266264 2266544 2266869 "PFOTOOLS" 2267658 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-935 2264779 2265036 2265387 "PFOQ" 2266021 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-934 2263262 2263492 2263848 "PFO" 2264563 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-933 2259187 2263151 2263220 "PF" 2263225 NIL PF (NIL NIL) -8 NIL NIL NIL) (-932 2256265 2257778 2257806 "PFECAT" 2258391 T PFECAT (NIL) -9 NIL 2258775 NIL) (-931 2255692 2255864 2256078 "PFECAT-" 2256083 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-930 2254265 2254547 2254848 "PFBRU" 2255441 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-929 2252095 2252483 2252915 "PFBR" 2253916 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-928 2247901 2249607 2250254 "PERM" 2251481 NIL PERM (NIL T) -8 NIL NIL NIL) (-927 2242955 2244108 2244978 "PERMGRP" 2247064 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-926 2240867 2241979 2242020 "PERMCAT" 2242420 NIL PERMCAT (NIL T) -9 NIL 2242718 NIL) (-925 2240514 2240561 2240685 "PERMAN" 2240820 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-924 2237755 2240179 2240301 "PENDTREE" 2240425 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-923 2236636 2236899 2236940 "PDSPC" 2237473 NIL PDSPC (NIL T) -9 NIL 2237718 NIL) (-922 2235691 2235957 2236319 "PDSPC-" 2236324 NIL PDSPC- (NIL T T) -8 NIL NIL NIL) (-921 2234405 2235341 2235382 "PDRING" 2235387 NIL PDRING (NIL T) -9 NIL 2235415 NIL) (-920 2233148 2233910 2233964 "PDMOD" 2233969 NIL PDMOD (NIL T T) -9 NIL 2234073 NIL) (-919 2230315 2231141 2231809 "PDEPROB" 2232500 T PDEPROB (NIL) -8 NIL NIL NIL) (-918 2227824 2228364 2228919 "PDEPACK" 2229780 T PDEPACK (NIL) -7 NIL NIL NIL) (-917 2226712 2226926 2227177 "PDECOMP" 2227623 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-916 2224229 2225120 2225148 "PDECAT" 2225935 T PDECAT (NIL) -9 NIL 2226648 NIL) (-915 2223846 2223913 2223967 "PDDOM" 2224132 NIL PDDOM (NIL T T) -9 NIL 2224212 NIL) (-914 2223659 2223695 2223802 "PDDOM-" 2223807 NIL PDDOM- (NIL T T T) -8 NIL NIL NIL) (-913 2223404 2223443 2223533 "PCOMP" 2223620 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-912 2221444 2222205 2222502 "PBWLB" 2223133 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-911 2213623 2215517 2216855 "PATTERN" 2220127 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-910 2213249 2213312 2213421 "PATTERN2" 2213560 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-909 2210958 2211394 2211851 "PATTERN1" 2212838 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-908 2208224 2208907 2209388 "PATRES" 2210523 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-907 2207782 2207855 2207987 "PATRES2" 2208151 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-906 2205635 2206070 2206477 "PATMATCH" 2207449 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-905 2205089 2205340 2205381 "PATMAB" 2205488 NIL PATMAB (NIL T) -9 NIL 2205571 NIL) (-904 2203535 2203943 2204201 "PATLRES" 2204894 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-903 2203073 2203204 2203245 "PATAB" 2203250 NIL PATAB (NIL T) -9 NIL 2203422 NIL) (-902 2201213 2201650 2202073 "PARTPERM" 2202670 T PARTPERM (NIL) -7 NIL NIL NIL) (-901 2200822 2200897 2200999 "PARSURF" 2201144 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-900 2200448 2200511 2200620 "PARSU2" 2200759 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-899 2200206 2200252 2200319 "PARSER" 2200401 T PARSER (NIL) -7 NIL NIL NIL) (-898 2199815 2199890 2199992 "PARSCURV" 2200137 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-897 2199441 2199504 2199613 "PARSC2" 2199752 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-896 2199068 2199138 2199235 "PARPCURV" 2199377 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-895 2198694 2198757 2198866 "PARPC2" 2199005 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-894 2197683 2198067 2198249 "PARAMAST" 2198532 T PARAMAST (NIL) -8 NIL NIL NIL) (-893 2197191 2197289 2197408 "PAN2EXPR" 2197584 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-892 2195884 2196312 2196540 "PALETTE" 2196983 T PALETTE (NIL) -8 NIL NIL NIL) (-891 2194229 2194889 2195249 "PAIR" 2195570 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-890 2187141 2193486 2193681 "PADICRC" 2194083 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-889 2179377 2186485 2186670 "PADICRAT" 2186988 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-888 2177386 2179314 2179359 "PADIC" 2179364 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-887 2174176 2176046 2176086 "PADICCT" 2176667 NIL PADICCT (NIL NIL) -9 NIL 2176949 NIL) (-886 2173121 2173333 2173601 "PADEPAC" 2173963 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-885 2172321 2172466 2172672 "PADE" 2172983 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-884 2170554 2171529 2171809 "OWP" 2172125 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-883 2169999 2170260 2170357 "OVERSET" 2170477 T OVERSET (NIL) -8 NIL NIL NIL) (-882 2168919 2169604 2169776 "OVAR" 2169867 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-881 2168159 2168304 2168465 "OUT" 2168778 T OUT (NIL) -7 NIL NIL NIL) (-880 2156395 2159268 2161468 "OUTFORM" 2165979 T OUTFORM (NIL) -8 NIL NIL NIL) (-879 2155677 2155992 2156119 "OUTBFILE" 2156288 T OUTBFILE (NIL) -8 NIL NIL NIL) (-878 2154954 2155149 2155177 "OUTBCON" 2155495 T OUTBCON (NIL) -9 NIL 2155661 NIL) (-877 2154537 2154667 2154824 "OUTBCON-" 2154829 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-876 2153833 2154266 2154355 "OSI" 2154468 T OSI (NIL) -8 NIL NIL NIL) (-875 2153252 2153674 2153702 "OSGROUP" 2153707 T OSGROUP (NIL) -9 NIL 2153729 NIL) (-874 2151963 2152224 2152509 "ORTHPOL" 2152999 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-873 2149214 2151798 2151919 "OREUP" 2151924 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-872 2146317 2148905 2149032 "ORESUP" 2149156 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-871 2143817 2144345 2144906 "OREPCTO" 2145806 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-870 2137195 2139690 2139731 "OREPCAT" 2142079 NIL OREPCAT (NIL T) -9 NIL 2143183 NIL) (-869 2134168 2135124 2136182 "OREPCAT-" 2136187 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-868 2133361 2133638 2133666 "ORDTYPE" 2133975 T ORDTYPE (NIL) -9 NIL 2134138 NIL) (-867 2132662 2132878 2133133 "ORDTYPE-" 2133138 NIL ORDTYPE- (NIL T) -8 NIL NIL NIL) (-866 2132018 2132401 2132559 "ORDSTRCT" 2132564 NIL ORDSTRCT (NIL T NIL) -8 NIL NIL NIL) (-865 2131516 2131886 2131914 "ORDSET" 2131919 T ORDSET (NIL) -9 NIL 2131941 NIL) (-864 2129874 2130845 2130873 "ORDRING" 2131075 T ORDRING (NIL) -9 NIL 2131200 NIL) (-863 2129495 2129613 2129757 "ORDRING-" 2129762 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-862 2128746 2129311 2129339 "ORDMON" 2129344 T ORDMON (NIL) -9 NIL 2129365 NIL) (-861 2127890 2128055 2128250 "ORDFUNS" 2128595 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-860 2127105 2127620 2127648 "ORDFIN" 2127713 T ORDFIN (NIL) -9 NIL 2127787 NIL) (-859 2123452 2125691 2126100 "ORDCOMP" 2126729 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-858 2122706 2122845 2123031 "ORDCOMP2" 2123312 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-857 2119227 2120197 2121011 "OPTPROB" 2121912 T OPTPROB (NIL) -8 NIL NIL NIL) (-856 2115969 2116668 2117372 "OPTPACK" 2118543 T OPTPACK (NIL) -7 NIL NIL NIL) (-855 2113582 2114408 2114436 "OPTCAT" 2115255 T OPTCAT (NIL) -9 NIL 2115905 NIL) (-854 2112900 2113259 2113364 "OPSIG" 2113497 T OPSIG (NIL) -8 NIL NIL NIL) (-853 2112662 2112707 2112773 "OPQUERY" 2112854 T OPQUERY (NIL) -7 NIL NIL NIL) (-852 2109571 2110973 2111477 "OP" 2112191 NIL OP (NIL T) -8 NIL NIL NIL) (-851 2108877 2109157 2109198 "OPERCAT" 2109410 NIL OPERCAT (NIL T) -9 NIL 2109507 NIL) (-850 2108620 2108688 2108805 "OPERCAT-" 2108810 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-849 2105233 2107417 2107786 "ONECOMP" 2108284 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-848 2104526 2104653 2104827 "ONECOMP2" 2105105 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-847 2103927 2104051 2104181 "OMSERVER" 2104416 T OMSERVER (NIL) -7 NIL NIL NIL) (-846 2100441 2103367 2103407 "OMSAGG" 2103468 NIL OMSAGG (NIL T) -9 NIL 2103532 NIL) (-845 2099016 2099327 2099609 "OMPKG" 2100179 T OMPKG (NIL) -7 NIL NIL NIL) (-844 2098422 2098549 2098577 "OM" 2098876 T OM (NIL) -9 NIL NIL NIL) (-843 2096769 2097971 2098140 "OMLO" 2098303 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-842 2095705 2095876 2096096 "OMEXPR" 2096595 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-841 2094942 2095251 2095387 "OMERR" 2095589 T OMERR (NIL) -8 NIL NIL NIL) (-840 2094027 2094363 2094523 "OMERRK" 2094802 T OMERRK (NIL) -8 NIL NIL NIL) (-839 2093418 2093704 2093812 "OMENC" 2093939 T OMENC (NIL) -8 NIL NIL NIL) (-838 2087055 2088498 2089669 "OMDEV" 2092267 T OMDEV (NIL) -8 NIL NIL NIL) (-837 2086088 2086295 2086489 "OMCONN" 2086881 T OMCONN (NIL) -8 NIL NIL NIL) (-836 2084366 2085558 2085586 "OINTDOM" 2085591 T OINTDOM (NIL) -9 NIL 2085612 NIL) (-835 2081440 2083054 2083391 "OFMONOID" 2084061 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-834 2080674 2081377 2081422 "ODVAR" 2081427 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-833 2077811 2080419 2080574 "ODR" 2080579 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-832 2069216 2077587 2077713 "ODPOL" 2077718 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-831 2062559 2069088 2069193 "ODP" 2069198 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-830 2061301 2061540 2061815 "ODETOOLS" 2062333 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-829 2058244 2058926 2059642 "ODESYS" 2060634 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-828 2053074 2054034 2055059 "ODERTRIC" 2057319 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-827 2052494 2052582 2052776 "ODERED" 2052986 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-826 2049346 2049930 2050607 "ODERAT" 2051917 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-825 2046263 2046770 2047367 "ODEPRRIC" 2048875 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-824 2044158 2044802 2045288 "ODEPROB" 2045797 T ODEPROB (NIL) -8 NIL NIL NIL) (-823 2040624 2041163 2041810 "ODEPRIM" 2043637 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-822 2039867 2039975 2040235 "ODEPAL" 2040516 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-821 2035969 2036820 2037684 "ODEPACK" 2039023 T ODEPACK (NIL) -7 NIL NIL NIL) (-820 2035012 2035137 2035359 "ODEINT" 2035858 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-819 2029077 2030538 2031985 "ODEIFTBL" 2033585 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-818 2024427 2025261 2026213 "ODEEF" 2028236 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-817 2023770 2023865 2024088 "ODECONST" 2024332 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-816 2021833 2022542 2022570 "ODECAT" 2023175 T ODECAT (NIL) -9 NIL 2023706 NIL) (-815 2018326 2021538 2021660 "OCT" 2021743 NIL OCT (NIL T) -8 NIL NIL NIL) (-814 2017958 2018007 2018134 "OCTCT2" 2018277 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-813 2012227 2015001 2015041 "OC" 2016138 NIL OC (NIL T) -9 NIL 2016996 NIL) (-812 2009262 2010202 2011192 "OC-" 2011286 NIL OC- (NIL T T) -8 NIL NIL NIL) (-811 2008485 2009055 2009083 "OCAMON" 2009088 T OCAMON (NIL) -9 NIL 2009109 NIL) (-810 2007905 2008330 2008358 "OASGP" 2008363 T OASGP (NIL) -9 NIL 2008383 NIL) (-809 2007031 2007628 2007656 "OAMONS" 2007696 T OAMONS (NIL) -9 NIL 2007739 NIL) (-808 2006322 2006851 2006879 "OAMON" 2006884 T OAMON (NIL) -9 NIL 2006904 NIL) (-807 2005433 2006071 2006099 "OAGROUP" 2006104 T OAGROUP (NIL) -9 NIL 2006124 NIL) (-806 2005117 2005173 2005261 "NUMTUBE" 2005377 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-805 1998636 2000208 2001744 "NUMQUAD" 2003601 T NUMQUAD (NIL) -7 NIL NIL NIL) (-804 1994356 1995380 1996405 "NUMODE" 1997631 T NUMODE (NIL) -7 NIL NIL NIL) (-803 1991637 1992577 1992605 "NUMINT" 1993528 T NUMINT (NIL) -9 NIL 1994292 NIL) (-802 1990549 1990782 1991000 "NUMFMT" 1991439 T NUMFMT (NIL) -7 NIL NIL NIL) (-801 1976732 1979853 1982385 "NUMERIC" 1988056 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-800 1970443 1976180 1976275 "NTSCAT" 1976280 NIL NTSCAT (NIL T T T T) -9 NIL 1976319 NIL) (-799 1969623 1969802 1969995 "NTPOLFN" 1970282 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-798 1956384 1966448 1967260 "NSUP" 1968844 NIL NSUP (NIL T) -8 NIL NIL NIL) (-797 1956010 1956073 1956182 "NSUP2" 1956321 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-796 1944846 1955784 1955917 "NSMP" 1955922 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-795 1943254 1943579 1943936 "NREP" 1944534 NIL NREP (NIL T) -7 NIL NIL NIL) (-794 1941833 1942097 1942455 "NPCOEF" 1942997 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-793 1940881 1941014 1941230 "NORMRETR" 1941714 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-792 1938892 1939212 1939621 "NORMPK" 1940589 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-791 1938571 1938605 1938729 "NORMMA" 1938858 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-790 1938335 1938528 1938557 "NONE" 1938562 T NONE (NIL) -8 NIL NIL NIL) (-789 1938118 1938153 1938222 "NONE1" 1938299 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-788 1937609 1937677 1937856 "NODE1" 1938050 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-787 1935710 1936741 1936996 "NNI" 1937343 T NNI (NIL) -8 NIL NIL 1937578) (-786 1934106 1934443 1934807 "NLINSOL" 1935378 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-785 1930287 1931342 1932241 "NIPROB" 1933227 T NIPROB (NIL) -8 NIL NIL NIL) (-784 1929026 1929278 1929580 "NFINTBAS" 1930049 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-783 1928110 1928676 1928717 "NETCLT" 1928889 NIL NETCLT (NIL T) -9 NIL 1928971 NIL) (-782 1926782 1927049 1927330 "NCODIV" 1927878 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-781 1926538 1926581 1926656 "NCNTFRAC" 1926739 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-780 1924694 1925082 1925502 "NCEP" 1926163 NIL NCEP (NIL T) -7 NIL NIL NIL) (-779 1923357 1924304 1924332 "NASRING" 1924442 T NASRING (NIL) -9 NIL 1924522 NIL) (-778 1923140 1923196 1923290 "NASRING-" 1923295 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-777 1922107 1922758 1922786 "NARNG" 1922903 T NARNG (NIL) -9 NIL 1922994 NIL) (-776 1921781 1921866 1922000 "NARNG-" 1922005 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-775 1920618 1920867 1921102 "NAGSP" 1921566 T NAGSP (NIL) -7 NIL NIL NIL) (-774 1911662 1913574 1915247 "NAGS" 1918965 T NAGS (NIL) -7 NIL NIL NIL) (-773 1910186 1910518 1910849 "NAGF07" 1911351 T NAGF07 (NIL) -7 NIL NIL NIL) (-772 1904658 1906015 1907322 "NAGF04" 1908899 T NAGF04 (NIL) -7 NIL NIL NIL) (-771 1897530 1899240 1900873 "NAGF02" 1903045 T NAGF02 (NIL) -7 NIL NIL NIL) (-770 1892694 1893854 1894971 "NAGF01" 1896433 T NAGF01 (NIL) -7 NIL NIL NIL) (-769 1886274 1887888 1889473 "NAGE04" 1891129 T NAGE04 (NIL) -7 NIL NIL NIL) (-768 1877335 1879564 1881694 "NAGE02" 1884164 T NAGE02 (NIL) -7 NIL NIL NIL) (-767 1873228 1874235 1875199 "NAGE01" 1876391 T NAGE01 (NIL) -7 NIL NIL NIL) (-766 1871005 1871557 1872115 "NAGD03" 1872690 T NAGD03 (NIL) -7 NIL NIL NIL) (-765 1862701 1864683 1866637 "NAGD02" 1869071 T NAGD02 (NIL) -7 NIL NIL NIL) (-764 1856440 1857937 1859377 "NAGD01" 1861281 T NAGD01 (NIL) -7 NIL NIL NIL) (-763 1852577 1853471 1854308 "NAGC06" 1855623 T NAGC06 (NIL) -7 NIL NIL NIL) (-762 1851024 1851374 1851730 "NAGC05" 1852241 T NAGC05 (NIL) -7 NIL NIL NIL) (-761 1850388 1850519 1850663 "NAGC02" 1850900 T NAGC02 (NIL) -7 NIL NIL NIL) (-760 1849189 1849916 1849956 "NAALG" 1850035 NIL NAALG (NIL T) -9 NIL 1850096 NIL) (-759 1849018 1849053 1849143 "NAALG-" 1849148 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-758 1842890 1844076 1845263 "MULTSQFR" 1847914 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-757 1842197 1842284 1842468 "MULTFACT" 1842802 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-756 1834344 1838782 1838835 "MTSCAT" 1839905 NIL MTSCAT (NIL T T) -9 NIL 1840420 NIL) (-755 1834050 1834110 1834202 "MTHING" 1834284 NIL MTHING (NIL T) -7 NIL NIL NIL) (-754 1833836 1833875 1833935 "MSYSCMD" 1834010 T MSYSCMD (NIL) -7 NIL NIL NIL) (-753 1829550 1832591 1832911 "MSET" 1833549 NIL MSET (NIL T) -8 NIL NIL NIL) (-752 1826295 1829111 1829152 "MSETAGG" 1829157 NIL MSETAGG (NIL T) -9 NIL 1829191 NIL) (-751 1821887 1823674 1824419 "MRING" 1825595 NIL MRING (NIL T T) -8 NIL NIL NIL) (-750 1821447 1821520 1821651 "MRF2" 1821814 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-749 1821059 1821100 1821244 "MRATFAC" 1821406 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-748 1818629 1818966 1819397 "MPRFF" 1820764 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-747 1811956 1818483 1818580 "MPOLY" 1818585 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-746 1811440 1811481 1811689 "MPCPF" 1811915 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-745 1810948 1810997 1811181 "MPC3" 1811391 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-744 1810131 1810224 1810445 "MPC2" 1810863 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-743 1808408 1808769 1809159 "MONOTOOL" 1809791 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-742 1807553 1807936 1807964 "MONOID" 1808183 T MONOID (NIL) -9 NIL 1808330 NIL) (-741 1807069 1807218 1807399 "MONOID-" 1807404 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-740 1796023 1802889 1802948 "MONOGEN" 1803622 NIL MONOGEN (NIL T T) -9 NIL 1804078 NIL) (-739 1793073 1793976 1794976 "MONOGEN-" 1795095 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-738 1791790 1792338 1792366 "MONADWU" 1792758 T MONADWU (NIL) -9 NIL 1792996 NIL) (-737 1791120 1791321 1791569 "MONADWU-" 1791574 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-736 1790405 1790709 1790737 "MONAD" 1790944 T MONAD (NIL) -9 NIL 1791056 NIL) (-735 1790072 1790168 1790300 "MONAD-" 1790305 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-734 1788211 1788985 1789264 "MOEBIUS" 1789825 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-733 1787379 1787879 1787919 "MODULE" 1787924 NIL MODULE (NIL T) -9 NIL 1787963 NIL) (-732 1786917 1787043 1787233 "MODULE-" 1787238 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-731 1784447 1785281 1785608 "MODRING" 1786741 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-730 1781169 1782552 1783073 "MODOP" 1783976 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-729 1779655 1780236 1780513 "MODMONOM" 1781032 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-728 1768395 1777946 1778360 "MODMON" 1779292 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-727 1765221 1767239 1767515 "MODFIELD" 1768270 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-726 1764132 1764502 1764692 "MMLFORM" 1765051 T MMLFORM (NIL) -8 NIL NIL NIL) (-725 1763652 1763701 1763880 "MMAP" 1764083 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-724 1761545 1762484 1762525 "MLO" 1762948 NIL MLO (NIL T) -9 NIL 1763190 NIL) (-723 1758893 1759427 1760029 "MLIFT" 1761026 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-722 1758272 1758368 1758522 "MKUCFUNC" 1758804 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-721 1757865 1757941 1758064 "MKRECORD" 1758195 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-720 1756888 1757074 1757302 "MKFUNC" 1757676 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-719 1756264 1756380 1756536 "MKFLCFN" 1756771 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-718 1755529 1755643 1755828 "MKBCFUNC" 1756157 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-717 1751512 1755083 1755219 "MINT" 1755413 T MINT (NIL) -8 NIL NIL NIL) (-716 1750294 1750567 1750844 "MHROWRED" 1751267 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-715 1745038 1748829 1749234 "MFLOAT" 1749909 T MFLOAT (NIL) -8 NIL NIL NIL) (-714 1744383 1744471 1744642 "MFINFACT" 1744950 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-713 1740662 1741546 1742430 "MESH" 1743519 T MESH (NIL) -7 NIL NIL NIL) (-712 1739016 1739364 1739717 "MDDFACT" 1740349 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-711 1735552 1738147 1738188 "MDAGG" 1738443 NIL MDAGG (NIL T) -9 NIL 1738586 NIL) (-710 1723254 1734845 1735052 "MCMPLX" 1735365 T MCMPLX (NIL) -8 NIL NIL NIL) (-709 1722373 1722537 1722738 "MCDEN" 1723103 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-708 1720221 1720533 1720913 "MCALCFN" 1722103 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-707 1719098 1719386 1719619 "MAYBE" 1720027 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-706 1716656 1717233 1717795 "MATSTOR" 1718569 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-705 1712078 1716028 1716276 "MATRIX" 1716441 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-704 1707778 1708551 1709287 "MATLIN" 1711435 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-703 1697124 1700835 1700912 "MATCAT" 1705944 NIL MATCAT (NIL T T T) -9 NIL 1707416 NIL) (-702 1693077 1694387 1695800 "MATCAT-" 1695805 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-701 1691653 1691824 1692157 "MATCAT2" 1692912 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-700 1689729 1690089 1690473 "MAPPKG3" 1691328 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-699 1688686 1688883 1689105 "MAPPKG2" 1689553 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-698 1687143 1687469 1687796 "MAPPKG1" 1688392 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-697 1686144 1686549 1686726 "MAPPAST" 1686986 T MAPPAST (NIL) -8 NIL NIL NIL) (-696 1685749 1685813 1685936 "MAPHACK3" 1686080 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-695 1685329 1685402 1685516 "MAPHACK2" 1685681 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-694 1684755 1684870 1685012 "MAPHACK1" 1685220 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-693 1682678 1683455 1683759 "MAGMA" 1684483 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-692 1682097 1682402 1682493 "MACROAST" 1682607 T MACROAST (NIL) -8 NIL NIL NIL) (-691 1678340 1680336 1680797 "M3D" 1681669 NIL M3D (NIL T) -8 NIL NIL NIL) (-690 1671820 1676651 1676692 "LZSTAGG" 1677474 NIL LZSTAGG (NIL T) -9 NIL 1677769 NIL) (-689 1667502 1668951 1670408 "LZSTAGG-" 1670413 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-688 1664415 1665393 1665880 "LWORD" 1667047 NIL LWORD (NIL T) -8 NIL NIL NIL) (-687 1663937 1664219 1664294 "LSTAST" 1664360 T LSTAST (NIL) -8 NIL NIL NIL) (-686 1655865 1663708 1663842 "LSQM" 1663847 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-685 1655083 1655228 1655456 "LSPP" 1655720 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-684 1652865 1653196 1653652 "LSMP" 1654772 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-683 1649602 1650318 1651048 "LSMP1" 1652167 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-682 1642738 1648692 1648733 "LSAGG" 1648795 NIL LSAGG (NIL T) -9 NIL 1648873 NIL) (-681 1639247 1640357 1641570 "LSAGG-" 1641575 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-680 1636542 1638391 1638640 "LPOLY" 1639042 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-679 1636118 1636209 1636332 "LPEFRAC" 1636451 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-678 1634295 1635212 1635465 "LO" 1635950 NIL LO (NIL T T T) -8 NIL NIL NIL) (-677 1633871 1634045 1634073 "LOGIC" 1634184 T LOGIC (NIL) -9 NIL 1634265 NIL) (-676 1633727 1633756 1633827 "LOGIC-" 1633832 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-675 1632902 1633060 1633253 "LODOOPS" 1633583 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-674 1629997 1632818 1632884 "LODO" 1632889 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-673 1628521 1628770 1629123 "LODOF" 1629744 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-672 1624397 1627156 1627197 "LODOCAT" 1627635 NIL LODOCAT (NIL T) -9 NIL 1627846 NIL) (-671 1624112 1624188 1624315 "LODOCAT-" 1624320 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-670 1621098 1623953 1624071 "LODO2" 1624076 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-669 1618205 1621035 1621080 "LODO1" 1621085 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-668 1617074 1617251 1617556 "LODEEF" 1618028 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-667 1612046 1615240 1615281 "LNAGG" 1616143 NIL LNAGG (NIL T) -9 NIL 1616578 NIL) (-666 1611139 1611407 1611749 "LNAGG-" 1611754 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-665 1607119 1608064 1608703 "LMOPS" 1610554 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-664 1606418 1606896 1606937 "LMODULE" 1606942 NIL LMODULE (NIL T) -9 NIL 1606968 NIL) (-663 1603373 1606063 1606186 "LMDICT" 1606328 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-662 1602949 1603163 1603204 "LLINSET" 1603265 NIL LLINSET (NIL T) -9 NIL 1603309 NIL) (-661 1602594 1602857 1602917 "LITERAL" 1602922 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-660 1595048 1601528 1601832 "LIST" 1602323 NIL LIST (NIL T) -8 NIL NIL NIL) (-659 1594567 1594647 1594786 "LIST3" 1594968 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-658 1593556 1593752 1593980 "LIST2" 1594385 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-657 1591654 1592002 1592401 "LIST2MAP" 1593203 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-656 1591237 1591473 1591514 "LINSET" 1591519 NIL LINSET (NIL T) -9 NIL 1591553 NIL) (-655 1590051 1590745 1590912 "LINFORM" 1591122 NIL LINFORM (NIL T NIL) -8 NIL NIL NIL) (-654 1588350 1589078 1589119 "LINEXP" 1589609 NIL LINEXP (NIL T) -9 NIL 1589882 NIL) (-653 1586926 1587830 1588011 "LINELT" 1588221 NIL LINELT (NIL T NIL) -8 NIL NIL NIL) (-652 1585483 1585763 1586074 "LINDEP" 1586678 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-651 1584619 1585215 1585325 "LINBASIS" 1585413 NIL LINBASIS (NIL NIL) -8 NIL NIL NIL) (-650 1581356 1582105 1582882 "LIMITRF" 1583874 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-649 1579641 1579955 1580364 "LIMITPS" 1581051 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-648 1573661 1579152 1579380 "LIE" 1579462 NIL LIE (NIL T T) -8 NIL NIL NIL) (-647 1572489 1573064 1573104 "LIECAT" 1573244 NIL LIECAT (NIL T) -9 NIL 1573395 NIL) (-646 1572324 1572357 1572445 "LIECAT-" 1572450 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-645 1564511 1571864 1572020 "LIB" 1572188 T LIB (NIL) -8 NIL NIL NIL) (-644 1560080 1561029 1561964 "LGROBP" 1563628 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-643 1558018 1558352 1558702 "LF" 1559801 NIL LF (NIL T T) -7 NIL NIL NIL) (-642 1556642 1557550 1557578 "LFCAT" 1557785 T LFCAT (NIL) -9 NIL 1557924 NIL) (-641 1553502 1554174 1554862 "LEXTRIPK" 1556006 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-640 1550090 1551072 1551575 "LEXP" 1553082 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-639 1549506 1549811 1549903 "LETAST" 1550018 T LETAST (NIL) -8 NIL NIL NIL) (-638 1547892 1548217 1548618 "LEADCDET" 1549188 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-637 1547070 1547156 1547385 "LAZM3PK" 1547813 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-636 1541581 1545147 1545685 "LAUPOL" 1546582 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-635 1541154 1541204 1541365 "LAPLACE" 1541531 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-634 1538891 1540255 1540506 "LA" 1540987 NIL LA (NIL T T T) -8 NIL NIL NIL) (-633 1537739 1538455 1538496 "LALG" 1538558 NIL LALG (NIL T) -9 NIL 1538617 NIL) (-632 1537435 1537512 1537648 "LALG-" 1537653 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-631 1537264 1537294 1537335 "KVTFROM" 1537397 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-630 1536103 1536631 1536816 "KTVLOGIC" 1537099 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-629 1535932 1535962 1536003 "KRCFROM" 1536065 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-628 1534824 1535023 1535322 "KOVACIC" 1535732 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-627 1534653 1534683 1534724 "KONVERT" 1534786 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-626 1534482 1534512 1534553 "KOERCE" 1534615 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-625 1532169 1533075 1533452 "KERNEL" 1534138 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-624 1531653 1531746 1531878 "KERNEL2" 1532083 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-623 1525124 1530130 1530184 "KDAGG" 1530561 NIL KDAGG (NIL T T) -9 NIL 1530767 NIL) (-622 1524635 1524777 1524982 "KDAGG-" 1524987 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-621 1517335 1524296 1524451 "KAFILE" 1524513 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-620 1511355 1516846 1517074 "JORDAN" 1517156 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-619 1510668 1511004 1511125 "JOINAST" 1511254 T JOINAST (NIL) -8 NIL NIL NIL) (-618 1510496 1510573 1510628 "JAVACODE" 1510633 T JAVACODE (NIL) -8 NIL NIL NIL) (-617 1506531 1508673 1508727 "IXAGG" 1509656 NIL IXAGG (NIL T T) -9 NIL 1510115 NIL) (-616 1505384 1505756 1506175 "IXAGG-" 1506180 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-615 1500473 1505306 1505365 "IVECTOR" 1505370 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-614 1499197 1499476 1499742 "ITUPLE" 1500240 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-613 1497669 1497876 1498171 "ITRIGMNP" 1499019 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-612 1496396 1496618 1496901 "ITFUN3" 1497445 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-611 1496022 1496085 1496194 "ITFUN2" 1496333 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-610 1495127 1495502 1495676 "ITFORM" 1495868 T ITFORM (NIL) -8 NIL NIL NIL) (-609 1492896 1494147 1494425 "ITAYLOR" 1494882 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-608 1481293 1487033 1488196 "ISUPS" 1491766 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-607 1480385 1480537 1480773 "ISUMP" 1481140 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-606 1475235 1480330 1480371 "ISTRING" 1480376 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-605 1474651 1474956 1475048 "ISAST" 1475163 T ISAST (NIL) -8 NIL NIL NIL) (-604 1473848 1473942 1474158 "IRURPK" 1474565 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-603 1472760 1472985 1473225 "IRSN" 1473628 T IRSN (NIL) -7 NIL NIL NIL) (-602 1470805 1471186 1471615 "IRRF2F" 1472398 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-601 1470546 1470590 1470666 "IRREDFFX" 1470761 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-600 1469119 1469420 1469719 "IROOT" 1470279 NIL IROOT (NIL T) -7 NIL NIL NIL) (-599 1465559 1466803 1467495 "IR" 1468459 NIL IR (NIL T) -8 NIL NIL NIL) (-598 1464698 1465052 1465203 "IRFORM" 1465428 T IRFORM (NIL) -8 NIL NIL NIL) (-597 1462287 1462806 1463372 "IR2" 1464176 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-596 1461369 1461500 1461714 "IR2F" 1462170 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-595 1461154 1461194 1461254 "IPRNTPK" 1461329 T IPRNTPK (NIL) -7 NIL NIL NIL) (-594 1457107 1461043 1461112 "IPF" 1461117 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-593 1455128 1457032 1457089 "IPADIC" 1457094 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-592 1454386 1454688 1454818 "IP4ADDR" 1455018 T IP4ADDR (NIL) -8 NIL NIL NIL) (-591 1453724 1454015 1454147 "IOMODE" 1454274 T IOMODE (NIL) -8 NIL NIL NIL) (-590 1452695 1453321 1453448 "IOBFILE" 1453617 T IOBFILE (NIL) -8 NIL NIL NIL) (-589 1452105 1452599 1452627 "IOBCON" 1452632 T IOBCON (NIL) -9 NIL 1452653 NIL) (-588 1451610 1451674 1451857 "INVLAPLA" 1452041 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-587 1441180 1443612 1445998 "INTTR" 1449274 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-586 1437473 1438257 1439122 "INTTOOLS" 1440365 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-585 1437053 1437150 1437267 "INTSLPE" 1437376 T INTSLPE (NIL) -7 NIL NIL NIL) (-584 1434520 1436976 1437035 "INTRVL" 1437040 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-583 1432098 1432634 1433209 "INTRF" 1434005 NIL INTRF (NIL T) -7 NIL NIL NIL) (-582 1431491 1431606 1431748 "INTRET" 1431996 NIL INTRET (NIL T) -7 NIL NIL NIL) (-581 1429464 1429877 1430347 "INTRAT" 1431099 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-580 1426709 1427310 1427929 "INTPM" 1428949 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-579 1423426 1424053 1424791 "INTPAF" 1426095 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-578 1418527 1419567 1420618 "INTPACK" 1422395 T INTPACK (NIL) -7 NIL NIL NIL) (-577 1414715 1418324 1418433 "INT" 1418438 T INT (NIL) -8 NIL NIL NIL) (-576 1413961 1414119 1414327 "INTHERTR" 1414557 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-575 1413394 1413480 1413668 "INTHERAL" 1413875 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-574 1411162 1411683 1412140 "INTHEORY" 1412957 T INTHEORY (NIL) -7 NIL NIL NIL) (-573 1402494 1404189 1405961 "INTG0" 1409514 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-572 1383019 1387857 1392667 "INTFTBL" 1397704 T INTFTBL (NIL) -8 NIL NIL NIL) (-571 1382244 1382406 1382579 "INTFACT" 1382878 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-570 1379641 1380117 1380674 "INTEF" 1381798 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-569 1377838 1378733 1378761 "INTDOM" 1379062 T INTDOM (NIL) -9 NIL 1379269 NIL) (-568 1377177 1377381 1377623 "INTDOM-" 1377628 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-567 1373051 1375466 1375520 "INTCAT" 1376319 NIL INTCAT (NIL T) -9 NIL 1376640 NIL) (-566 1372505 1372626 1372754 "INTBIT" 1372943 T INTBIT (NIL) -7 NIL NIL NIL) (-565 1371186 1371358 1371665 "INTALG" 1372350 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-564 1370663 1370759 1370916 "INTAF" 1371090 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-563 1363630 1370473 1370613 "INTABL" 1370618 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-562 1362867 1363429 1363494 "INT8" 1363528 T INT8 (NIL) -8 NIL NIL 1363573) (-561 1362103 1362665 1362730 "INT64" 1362764 T INT64 (NIL) -8 NIL NIL 1362809) (-560 1361339 1361901 1361966 "INT32" 1362000 T INT32 (NIL) -8 NIL NIL 1362045) (-559 1360575 1361137 1361202 "INT16" 1361236 T INT16 (NIL) -8 NIL NIL 1361281) (-558 1354676 1358123 1358151 "INS" 1359085 T INS (NIL) -9 NIL 1359750 NIL) (-557 1351730 1352687 1353661 "INS-" 1353734 NIL INS- (NIL T) -8 NIL NIL NIL) (-556 1350487 1350732 1351030 "INPSIGN" 1351483 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-555 1349581 1349722 1349919 "INPRODPF" 1350367 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-554 1348451 1348592 1348829 "INPRODFF" 1349461 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-553 1347439 1347603 1347863 "INNMFACT" 1348287 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-552 1346618 1346733 1346921 "INMODGCD" 1347338 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-551 1345102 1345371 1345695 "INFSP" 1346363 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-550 1344262 1344403 1344586 "INFPROD0" 1344982 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-549 1340829 1342327 1342842 "INFORM" 1343755 T INFORM (NIL) -8 NIL NIL NIL) (-548 1340427 1340499 1340597 "INFORM1" 1340764 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-547 1339932 1340039 1340153 "INFINITY" 1340333 T INFINITY (NIL) -7 NIL NIL NIL) (-546 1339006 1339652 1339753 "INETCLTS" 1339851 T INETCLTS (NIL) -8 NIL NIL NIL) (-545 1337604 1337872 1338193 "INEP" 1338754 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-544 1336665 1337501 1337566 "INDE" 1337571 NIL INDE (NIL T) -8 NIL NIL NIL) (-543 1336217 1336297 1336414 "INCRMAPS" 1336592 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-542 1334939 1335486 1335692 "INBFILE" 1336031 T INBFILE (NIL) -8 NIL NIL NIL) (-541 1330118 1331175 1332119 "INBFF" 1334027 NIL INBFF (NIL T) -7 NIL NIL NIL) (-540 1328972 1329295 1329323 "INBCON" 1329836 T INBCON (NIL) -9 NIL 1330102 NIL) (-539 1328182 1328447 1328723 "INBCON-" 1328728 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-538 1327601 1327906 1327997 "INAST" 1328111 T INAST (NIL) -8 NIL NIL NIL) (-537 1326968 1327280 1327386 "IMPTAST" 1327515 T IMPTAST (NIL) -8 NIL NIL NIL) (-536 1322889 1326812 1326916 "IMATRIX" 1326921 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-535 1321581 1321720 1322036 "IMATQF" 1322745 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-534 1319761 1320028 1320365 "IMATLIN" 1321337 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-533 1313676 1319685 1319743 "ILIST" 1319748 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-532 1311342 1313536 1313649 "IIARRAY2" 1313654 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-531 1306142 1311253 1311317 "IFF" 1311322 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-530 1305423 1305759 1305875 "IFAST" 1306046 T IFAST (NIL) -8 NIL NIL NIL) (-529 1299935 1304715 1304903 "IFARRAY" 1305280 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-528 1298973 1299839 1299912 "IFAMON" 1299917 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-527 1298545 1298622 1298676 "IEVALAB" 1298883 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-526 1298208 1298288 1298448 "IEVALAB-" 1298453 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-525 1297589 1298123 1298185 "IDPO" 1298190 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-524 1296653 1297478 1297553 "IDPOAMS" 1297558 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-523 1295786 1296542 1296617 "IDPOAM" 1296622 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-522 1294266 1294793 1294845 "IDPC" 1295357 NIL IDPC (NIL T T) -9 NIL 1295638 NIL) (-521 1293598 1294158 1294231 "IDPAM" 1294236 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-520 1292813 1293490 1293563 "IDPAG" 1293568 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-519 1292410 1292649 1292724 "IDENT" 1292758 T IDENT (NIL) -8 NIL NIL NIL) (-518 1288629 1289513 1290408 "IDECOMP" 1291567 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-517 1281264 1282552 1283599 "IDEAL" 1287665 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-516 1280406 1280536 1280736 "ICDEN" 1281148 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-515 1279381 1279886 1280033 "ICARD" 1280279 T ICARD (NIL) -8 NIL NIL NIL) (-514 1277411 1277754 1278159 "IBPTOOLS" 1279058 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-513 1272526 1277031 1277144 "IBITS" 1277330 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-512 1269201 1269825 1270520 "IBATOOL" 1271943 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-511 1266962 1267442 1267975 "IBACHIN" 1268736 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-510 1264552 1266808 1266911 "IARRAY2" 1266916 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-509 1260265 1264478 1264535 "IARRAY1" 1264540 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-508 1253275 1258677 1259158 "IAN" 1259804 T IAN (NIL) -8 NIL NIL NIL) (-507 1252780 1252843 1253016 "IALGFACT" 1253212 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-506 1252272 1252421 1252449 "HYPCAT" 1252656 T HYPCAT (NIL) -9 NIL NIL NIL) (-505 1251774 1251927 1252113 "HYPCAT-" 1252118 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-504 1251321 1251569 1251652 "HOSTNAME" 1251711 T HOSTNAME (NIL) -8 NIL NIL NIL) (-503 1251154 1251203 1251244 "HOMOTOP" 1251249 NIL HOMOTOP (NIL T) -9 NIL 1251282 NIL) (-502 1247587 1249086 1249127 "HOAGG" 1250108 NIL HOAGG (NIL T) -9 NIL 1250837 NIL) (-501 1246103 1246580 1247106 "HOAGG-" 1247111 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-500 1239139 1245696 1245846 "HEXADEC" 1245973 T HEXADEC (NIL) -8 NIL NIL NIL) (-499 1237851 1238109 1238372 "HEUGCD" 1238916 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-498 1236783 1237688 1237818 "HELLFDIV" 1237823 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-497 1234793 1236560 1236648 "HEAP" 1236727 NIL HEAP (NIL T) -8 NIL NIL NIL) (-496 1233990 1234345 1234479 "HEADAST" 1234679 T HEADAST (NIL) -8 NIL NIL NIL) (-495 1227377 1233905 1233967 "HDP" 1233972 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-494 1220389 1227012 1227164 "HDMP" 1227278 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-493 1219695 1219853 1220017 "HB" 1220245 T HB (NIL) -7 NIL NIL NIL) (-492 1212705 1219541 1219645 "HASHTBL" 1219650 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-491 1212121 1212426 1212518 "HASAST" 1212633 T HASAST (NIL) -8 NIL NIL NIL) (-490 1209527 1211743 1211925 "HACKPI" 1211959 T HACKPI (NIL) -8 NIL NIL NIL) (-489 1204699 1209380 1209493 "GTSET" 1209498 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-488 1197738 1204577 1204675 "GSTBL" 1204680 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-487 1189487 1196903 1197159 "GSERIES" 1197538 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-486 1188518 1189031 1189059 "GROUP" 1189262 T GROUP (NIL) -9 NIL 1189396 NIL) (-485 1187842 1188043 1188294 "GROUP-" 1188299 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-484 1186191 1186530 1186917 "GROEBSOL" 1187519 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-483 1185019 1185379 1185430 "GRMOD" 1185959 NIL GRMOD (NIL T T) -9 NIL 1186127 NIL) (-482 1184775 1184823 1184951 "GRMOD-" 1184956 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-481 1179915 1181129 1182129 "GRIMAGE" 1183795 T GRIMAGE (NIL) -8 NIL NIL NIL) (-480 1178309 1178642 1178966 "GRDEF" 1179611 T GRDEF (NIL) -7 NIL NIL NIL) (-479 1177741 1177869 1178010 "GRAY" 1178188 T GRAY (NIL) -7 NIL NIL NIL) (-478 1176818 1177320 1177371 "GRALG" 1177524 NIL GRALG (NIL T T) -9 NIL 1177617 NIL) (-477 1176455 1176552 1176715 "GRALG-" 1176720 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-476 1172936 1176038 1176217 "GPOLSET" 1176361 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-475 1172284 1172347 1172605 "GOSPER" 1172873 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-474 1167854 1168722 1169248 "GMODPOL" 1171983 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-473 1166841 1167043 1167281 "GHENSEL" 1167666 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-472 1160913 1161840 1162860 "GENUPS" 1165925 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-471 1160604 1160661 1160750 "GENUFACT" 1160856 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-470 1160004 1160093 1160258 "GENPGCD" 1160522 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-469 1159472 1159513 1159726 "GENMFACT" 1159963 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-468 1158008 1158295 1158602 "GENEEZ" 1159215 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-467 1151180 1157619 1157781 "GDMP" 1157931 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-466 1139919 1144951 1146057 "GCNAALG" 1150163 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-465 1138046 1139094 1139122 "GCDDOM" 1139377 T GCDDOM (NIL) -9 NIL 1139534 NIL) (-464 1137486 1137643 1137858 "GCDDOM-" 1137863 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-463 1136136 1136343 1136647 "GB" 1137265 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-462 1124608 1127082 1129474 "GBINTERN" 1133827 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-461 1122409 1122737 1123158 "GBF" 1124283 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-460 1121166 1121355 1121622 "GBEUCLID" 1122225 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-459 1120497 1120640 1120789 "GAUSSFAC" 1121037 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-458 1118818 1119166 1119480 "GALUTIL" 1120216 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-457 1117078 1117400 1117724 "GALPOLYU" 1118545 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-456 1114377 1114733 1115140 "GALFACTU" 1116775 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-455 1105991 1107682 1109290 "GALFACT" 1112809 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-454 1103277 1104037 1104065 "FVFUN" 1105221 T FVFUN (NIL) -9 NIL 1105941 NIL) (-453 1102507 1102725 1102753 "FVC" 1103044 T FVC (NIL) -9 NIL 1103227 NIL) (-452 1102108 1102332 1102400 "FUNDESC" 1102459 T FUNDESC (NIL) -8 NIL NIL NIL) (-451 1101681 1101905 1101986 "FUNCTION" 1102060 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-450 1099311 1100003 1100469 "FT" 1101235 T FT (NIL) -8 NIL NIL NIL) (-449 1097988 1098612 1098815 "FTEM" 1099128 T FTEM (NIL) -8 NIL NIL NIL) (-448 1096257 1096568 1096965 "FSUPFACT" 1097679 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-447 1094576 1094943 1095275 "FST" 1095945 T FST (NIL) -8 NIL NIL NIL) (-446 1093757 1093881 1094069 "FSRED" 1094458 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-445 1092446 1092712 1093059 "FSPRMELT" 1093472 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-444 1089656 1090190 1090676 "FSPECF" 1092009 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-443 1069883 1079430 1079471 "FS" 1083355 NIL FS (NIL T) -9 NIL 1085644 NIL) (-442 1057944 1061519 1065576 "FS-" 1065876 NIL FS- (NIL T T) -8 NIL NIL NIL) (-441 1057466 1057526 1057696 "FSINT" 1057885 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-440 1055602 1056459 1056762 "FSERIES" 1057245 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-439 1054626 1054760 1054984 "FSCINT" 1055482 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-438 1050490 1053570 1053611 "FSAGG" 1053981 NIL FSAGG (NIL T) -9 NIL 1054240 NIL) (-437 1048090 1048853 1049649 "FSAGG-" 1049744 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-436 1047114 1047275 1047502 "FSAGG2" 1047943 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-435 1044774 1045072 1045620 "FS2UPS" 1046832 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-434 1044402 1044451 1044580 "FS2" 1044725 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-433 1043268 1043451 1043753 "FS2EXPXP" 1044227 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-432 1042682 1042809 1042961 "FRUTIL" 1043148 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-431 1033599 1038177 1039535 "FR" 1041356 NIL FR (NIL T) -8 NIL NIL NIL) (-430 1028117 1031288 1031328 "FRNAALG" 1032648 NIL FRNAALG (NIL T) -9 NIL 1033246 NIL) (-429 1023598 1024866 1026141 "FRNAALG-" 1026891 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-428 1023230 1023279 1023406 "FRNAAF2" 1023549 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-427 1021517 1022079 1022375 "FRMOD" 1023042 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-426 1019122 1019892 1020210 "FRIDEAL" 1021308 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-425 1018307 1018400 1018691 "FRIDEAL2" 1019029 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-424 1017398 1017854 1017895 "FRETRCT" 1017900 NIL FRETRCT (NIL T) -9 NIL 1018076 NIL) (-423 1016456 1016741 1017092 "FRETRCT-" 1017097 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-422 1013270 1014740 1014799 "FRAMALG" 1015681 NIL FRAMALG (NIL T T) -9 NIL 1015973 NIL) (-421 1011308 1011859 1012489 "FRAMALG-" 1012712 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-420 1004279 1010781 1011058 "FRAC" 1011063 NIL FRAC (NIL T) -8 NIL NIL NIL) (-419 1003909 1003972 1004079 "FRAC2" 1004216 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-418 1003539 1003602 1003709 "FR2" 1003846 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-417 997456 1000918 1000946 "FPS" 1002065 T FPS (NIL) -9 NIL 1002622 NIL) (-416 996881 997014 997178 "FPS-" 997324 NIL FPS- (NIL T) -8 NIL NIL NIL) (-415 993833 995838 995866 "FPC" 996091 T FPC (NIL) -9 NIL 996233 NIL) (-414 993614 993666 993763 "FPC-" 993768 NIL FPC- (NIL T) -8 NIL NIL NIL) (-413 992372 993102 993143 "FPATMAB" 993148 NIL FPATMAB (NIL T) -9 NIL 993300 NIL) (-412 990515 991114 991461 "FPARFRAC" 992088 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-411 985807 986407 987089 "FORTRAN" 989947 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-410 983493 984023 984562 "FORT" 985288 T FORT (NIL) -7 NIL NIL NIL) (-409 981067 981731 981759 "FORTFN" 982819 T FORTFN (NIL) -9 NIL 983443 NIL) (-408 980819 980881 980909 "FORTCAT" 980968 T FORTCAT (NIL) -9 NIL 981030 NIL) (-407 978823 979435 979825 "FORMULA" 980449 T FORMULA (NIL) -8 NIL NIL NIL) (-406 978605 978641 978710 "FORMULA1" 978787 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-405 978122 978180 978353 "FORDER" 978547 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-404 977182 977382 977575 "FOP" 977949 T FOP (NIL) -7 NIL NIL NIL) (-403 975595 976462 976636 "FNLA" 977064 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-402 974214 974725 974753 "FNCAT" 975213 T FNCAT (NIL) -9 NIL 975473 NIL) (-401 973657 974173 974201 "FNAME" 974206 T FNAME (NIL) -8 NIL NIL NIL) (-400 971983 973156 973184 "FMTC" 973189 T FMTC (NIL) -9 NIL 973225 NIL) (-399 970531 971919 971965 "FMONOID" 971970 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-398 967120 968486 968527 "FMONCAT" 969744 NIL FMONCAT (NIL T) -9 NIL 970349 NIL) (-397 966138 966862 967011 "FM" 967016 NIL FM (NIL T T) -8 NIL NIL NIL) (-396 963460 964208 964236 "FMFUN" 965380 T FMFUN (NIL) -9 NIL 966088 NIL) (-395 962693 962910 962938 "FMC" 963228 T FMC (NIL) -9 NIL 963410 NIL) (-394 959566 960618 960672 "FMCAT" 961867 NIL FMCAT (NIL T T) -9 NIL 962362 NIL) (-393 958234 959332 959432 "FM1" 959511 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-392 955972 956424 956918 "FLOATRP" 957785 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-391 948628 953701 954322 "FLOAT" 955371 T FLOAT (NIL) -8 NIL NIL NIL) (-390 946030 946566 947144 "FLOATCP" 948095 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-389 944548 945622 945663 "FLINEXP" 945668 NIL FLINEXP (NIL T) -9 NIL 945761 NIL) (-388 943678 943937 944265 "FLINEXP-" 944270 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-387 942736 942898 943122 "FLASORT" 943530 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-386 939654 940706 940758 "FLALG" 941985 NIL FLALG (NIL T T) -9 NIL 942452 NIL) (-385 932918 937063 937104 "FLAGG" 938366 NIL FLAGG (NIL T) -9 NIL 939018 NIL) (-384 931572 931983 932473 "FLAGG-" 932478 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-383 930596 930757 930984 "FLAGG2" 931425 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-382 927227 928441 928500 "FINRALG" 929628 NIL FINRALG (NIL T T) -9 NIL 930136 NIL) (-381 926351 926616 926955 "FINRALG-" 926960 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-380 925657 925956 925984 "FINITE" 926180 T FINITE (NIL) -9 NIL 926287 NIL) (-379 917608 920187 920227 "FINAALG" 923894 NIL FINAALG (NIL T) -9 NIL 925347 NIL) (-378 912724 913990 915134 "FINAALG-" 916513 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-377 912002 912479 912582 "FILE" 912654 NIL FILE (NIL T) -8 NIL NIL NIL) (-376 910562 910984 911038 "FILECAT" 911722 NIL FILECAT (NIL T T) -9 NIL 911938 NIL) (-375 907958 909792 909820 "FIELD" 909860 T FIELD (NIL) -9 NIL 909940 NIL) (-374 906500 906963 907474 "FIELD-" 907479 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-373 904182 905135 905482 "FGROUP" 906186 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-372 903254 903436 903656 "FGLMICPK" 904014 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-371 898488 903179 903236 "FFX" 903241 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-370 898083 898150 898285 "FFSLPE" 898421 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-369 893959 894855 895651 "FFPOLY" 897319 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-368 893457 893499 893708 "FFPOLY2" 893917 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-367 888705 893376 893439 "FFP" 893444 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-366 883505 888616 888680 "FF" 888685 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-365 878015 882848 883038 "FFNBX" 883359 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-364 872327 877150 877408 "FFNBP" 877869 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-363 866344 871611 871822 "FFNB" 872160 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-362 865164 865374 865689 "FFINTBAS" 866141 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-361 860740 863411 863439 "FFIELDC" 864059 T FFIELDC (NIL) -9 NIL 864435 NIL) (-360 859318 859773 860270 "FFIELDC-" 860275 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-359 858875 858933 859057 "FFHOM" 859260 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-358 856534 857057 857574 "FFF" 858390 NIL FFF (NIL T) -7 NIL NIL NIL) (-357 851548 856276 856377 "FFCGX" 856477 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-356 846566 851280 851387 "FFCGP" 851491 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-355 841145 846293 846401 "FFCG" 846502 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-354 819808 830877 830963 "FFCAT" 836128 NIL FFCAT (NIL T T T) -9 NIL 837579 NIL) (-353 814819 816053 817367 "FFCAT-" 818597 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-352 814224 814273 814508 "FFCAT2" 814770 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-351 802877 807196 808416 "FEXPR" 813076 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-350 801805 802274 802315 "FEVALAB" 802399 NIL FEVALAB (NIL T) -9 NIL 802660 NIL) (-349 800922 801174 801512 "FEVALAB-" 801517 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-348 799332 800305 800508 "FDIV" 800821 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-347 796194 797079 797194 "FDIVCAT" 798762 NIL FDIVCAT (NIL T T T T) -9 NIL 799199 NIL) (-346 795950 795983 796153 "FDIVCAT-" 796158 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-345 795164 795257 795534 "FDIV2" 795857 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-344 794072 794459 794661 "FCTRDATA" 794982 T FCTRDATA (NIL) -8 NIL NIL NIL) (-343 792728 793017 793306 "FCPAK1" 793803 T FCPAK1 (NIL) -7 NIL NIL NIL) (-342 791731 792228 792369 "FCOMP" 792619 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-341 775046 778881 782419 "FC" 788213 T FC (NIL) -8 NIL NIL NIL) (-340 766741 771367 771407 "FAXF" 773209 NIL FAXF (NIL T) -9 NIL 773901 NIL) (-339 763862 764675 765500 "FAXF-" 765965 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-338 758431 763238 763414 "FARRAY" 763719 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-337 752995 755378 755431 "FAMR" 756454 NIL FAMR (NIL T T) -9 NIL 756914 NIL) (-336 751819 752187 752622 "FAMR-" 752627 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-335 750846 751741 751794 "FAMONOID" 751799 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-334 748476 749328 749381 "FAMONC" 750322 NIL FAMONC (NIL T T) -9 NIL 750708 NIL) (-333 746950 748230 748367 "FAGROUP" 748372 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-332 744703 745064 745467 "FACUTIL" 746631 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-331 743790 743987 744209 "FACTFUNC" 744513 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-330 735548 743093 743292 "EXPUPXS" 743646 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-329 733001 733571 734157 "EXPRTUBE" 734982 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-328 729212 729864 730594 "EXPRODE" 732340 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-327 713506 727861 728290 "EXPR" 728816 NIL EXPR (NIL T) -8 NIL NIL NIL) (-326 707940 708647 709453 "EXPR2UPS" 712804 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-325 707566 707629 707738 "EXPR2" 707877 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-324 697883 706717 707008 "EXPEXPAN" 707402 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-323 697647 697840 697869 "EXIT" 697874 T EXIT (NIL) -8 NIL NIL NIL) (-322 697067 697371 697462 "EXITAST" 697576 T EXITAST (NIL) -8 NIL NIL NIL) (-321 696688 696756 696869 "EVALCYC" 696999 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-320 696205 696347 696388 "EVALAB" 696558 NIL EVALAB (NIL T) -9 NIL 696662 NIL) (-319 695662 695808 696029 "EVALAB-" 696034 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-318 692770 694318 694346 "EUCDOM" 694901 T EUCDOM (NIL) -9 NIL 695251 NIL) (-317 691109 691617 692207 "EUCDOM-" 692212 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-316 678426 681407 684157 "ESTOOLS" 688379 T ESTOOLS (NIL) -7 NIL NIL NIL) (-315 678052 678115 678224 "ESTOOLS2" 678363 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-314 677797 677845 677925 "ESTOOLS1" 678004 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-313 671498 673428 673456 "ES" 676224 T ES (NIL) -9 NIL 677634 NIL) (-312 666175 667732 669549 "ES-" 669713 NIL ES- (NIL T) -8 NIL NIL NIL) (-311 662483 663310 664090 "ESCONT" 665415 T ESCONT (NIL) -7 NIL NIL NIL) (-310 662222 662260 662342 "ESCONT1" 662445 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-309 661891 661947 662047 "ES2" 662166 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-308 661515 661579 661688 "ES1" 661827 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-307 660707 660860 661036 "ERROR" 661359 T ERROR (NIL) -7 NIL NIL NIL) (-306 653723 660566 660657 "EQTBL" 660662 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-305 645982 649037 650486 "EQ" 652307 NIL -3103 (NIL T) -8 NIL NIL NIL) (-304 645608 645671 645780 "EQ2" 645919 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-303 640851 641946 643039 "EP" 644547 NIL EP (NIL T) -7 NIL NIL NIL) (-302 639391 639742 640048 "ENV" 640565 T ENV (NIL) -8 NIL NIL NIL) (-301 638351 639025 639053 "ENTIRER" 639058 T ENTIRER (NIL) -9 NIL 639104 NIL) (-300 634763 636533 636894 "EMR" 638159 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-299 633867 634078 634132 "ELTAGG" 634512 NIL ELTAGG (NIL T T) -9 NIL 634723 NIL) (-298 633574 633648 633789 "ELTAGG-" 633794 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-297 633332 633367 633421 "ELTAB" 633505 NIL ELTAB (NIL T T) -9 NIL 633557 NIL) (-296 632434 632604 632803 "ELFUTS" 633183 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-295 632158 632232 632260 "ELEMFUN" 632365 T ELEMFUN (NIL) -9 NIL NIL NIL) (-294 632022 632049 632117 "ELEMFUN-" 632122 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-293 626439 630064 630105 "ELAGG" 631045 NIL ELAGG (NIL T) -9 NIL 631508 NIL) (-292 624616 625158 625821 "ELAGG-" 625826 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-291 623898 624065 624221 "ELABOR" 624480 T ELABOR (NIL) -8 NIL NIL NIL) (-290 622505 622838 623132 "ELABEXPR" 623624 T ELABEXPR (NIL) -8 NIL NIL NIL) (-289 615017 617142 617971 "EFUPXS" 621780 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-288 608143 610266 611077 "EFULS" 614292 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-287 605580 605986 606458 "EFSTRUC" 607775 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-286 595017 596937 598485 "EF" 604095 NIL EF (NIL T T) -7 NIL NIL NIL) (-285 593995 594502 594651 "EAB" 594888 T EAB (NIL) -8 NIL NIL NIL) (-284 593117 593954 593982 "E04UCFA" 593987 T E04UCFA (NIL) -8 NIL NIL NIL) (-283 592239 593076 593104 "E04NAFA" 593109 T E04NAFA (NIL) -8 NIL NIL NIL) (-282 591361 592198 592226 "E04MBFA" 592231 T E04MBFA (NIL) -8 NIL NIL NIL) (-281 590483 591320 591348 "E04JAFA" 591353 T E04JAFA (NIL) -8 NIL NIL NIL) (-280 589607 590442 590470 "E04GCFA" 590475 T E04GCFA (NIL) -8 NIL NIL NIL) (-279 588731 589566 589594 "E04FDFA" 589599 T E04FDFA (NIL) -8 NIL NIL NIL) (-278 587853 588690 588718 "E04DGFA" 588723 T E04DGFA (NIL) -8 NIL NIL NIL) (-277 581930 583378 584742 "E04AGNT" 586509 T E04AGNT (NIL) -7 NIL NIL NIL) (-276 580550 581231 581271 "DVARCAT" 581612 NIL DVARCAT (NIL T) -9 NIL 581775 NIL) (-275 579700 579966 580280 "DVARCAT-" 580285 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-274 571661 579499 579628 "DSMP" 579633 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-273 570012 570803 570844 "DSEXT" 571207 NIL DSEXT (NIL T) -9 NIL 571501 NIL) (-272 568201 568725 569391 "DSEXT-" 569396 NIL DSEXT- (NIL T T) -8 NIL NIL NIL) (-271 562784 564146 565214 "DROPT" 567153 T DROPT (NIL) -8 NIL NIL NIL) (-270 562443 562508 562606 "DROPT1" 562719 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-269 557462 558684 559821 "DROPT0" 561326 T DROPT0 (NIL) -7 NIL NIL NIL) (-268 555771 556132 556518 "DRAWPT" 557096 T DRAWPT (NIL) -7 NIL NIL NIL) (-267 550262 551281 552360 "DRAW" 554745 NIL DRAW (NIL T) -7 NIL NIL NIL) (-266 549889 549948 550066 "DRAWHACK" 550203 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-265 548590 548889 549180 "DRAWCX" 549618 T DRAWCX (NIL) -7 NIL NIL NIL) (-264 548099 548174 548325 "DRAWCURV" 548516 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-263 538417 540529 542644 "DRAWCFUN" 546004 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-262 534888 537082 537123 "DQAGG" 537752 NIL DQAGG (NIL T) -9 NIL 538026 NIL) (-261 521471 529099 529182 "DPOLCAT" 531034 NIL DPOLCAT (NIL T T T T) -9 NIL 531579 NIL) (-260 515990 517656 519614 "DPOLCAT-" 519619 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-259 508847 515851 515949 "DPMO" 515954 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-258 501601 508627 508794 "DPMM" 508799 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-257 501123 501385 501474 "DOMTMPLT" 501532 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-256 500472 500925 501005 "DOMCTOR" 501063 T DOMCTOR (NIL) -8 NIL NIL NIL) (-255 499624 499952 500103 "DOMAIN" 500341 T DOMAIN (NIL) -8 NIL NIL NIL) (-254 492636 499259 499411 "DMP" 499525 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-253 490413 491703 491744 "DMEXT" 491749 NIL DMEXT (NIL T) -9 NIL 491925 NIL) (-252 490007 490069 490213 "DLP" 490351 NIL DLP (NIL T) -7 NIL NIL NIL) (-251 483130 489334 489524 "DLIST" 489849 NIL DLIST (NIL T) -8 NIL NIL NIL) (-250 479668 481955 481996 "DLAGG" 482546 NIL DLAGG (NIL T) -9 NIL 482776 NIL) (-249 478180 478994 479022 "DIVRING" 479114 T DIVRING (NIL) -9 NIL 479197 NIL) (-248 477363 477607 477907 "DIVRING-" 477912 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-247 475405 475822 476228 "DISPLAY" 476977 T DISPLAY (NIL) -7 NIL NIL NIL) (-246 468812 475319 475382 "DIRPROD" 475387 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-245 467642 467863 468128 "DIRPROD2" 468605 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-244 455861 462353 462406 "DIRPCAT" 462664 NIL DIRPCAT (NIL NIL T) -9 NIL 463539 NIL) (-243 453061 453829 454710 "DIRPCAT-" 455047 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-242 452342 452508 452694 "DIOSP" 452895 T DIOSP (NIL) -7 NIL NIL NIL) (-241 448756 451226 451267 "DIOPS" 451701 NIL DIOPS (NIL T) -9 NIL 451930 NIL) (-240 448275 448419 448610 "DIOPS-" 448615 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-239 447182 447954 447982 "DIFRING" 447987 T DIFRING (NIL) -9 NIL 448009 NIL) (-238 446830 446928 446956 "DIFFSPC" 447075 T DIFFSPC (NIL) -9 NIL 447150 NIL) (-237 446451 446553 446705 "DIFFSPC-" 446710 NIL DIFFSPC- (NIL T) -8 NIL NIL NIL) (-236 445387 445985 446026 "DIFFMOD" 446031 NIL DIFFMOD (NIL T) -9 NIL 446129 NIL) (-235 445083 445140 445181 "DIFFDOM" 445302 NIL DIFFDOM (NIL T) -9 NIL 445370 NIL) (-234 444930 444960 445044 "DIFFDOM-" 445049 NIL DIFFDOM- (NIL T T) -8 NIL NIL NIL) (-233 442670 444134 444175 "DIFEXT" 444180 NIL DIFEXT (NIL T) -9 NIL 444333 NIL) (-232 439704 442174 442215 "DIAGG" 442220 NIL DIAGG (NIL T) -9 NIL 442240 NIL) (-231 439052 439245 439497 "DIAGG-" 439502 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-230 433902 438011 438288 "DHMATRIX" 438821 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-229 429370 430423 431433 "DFSFUN" 432912 T DFSFUN (NIL) -7 NIL NIL NIL) (-228 423604 428301 428613 "DFLOAT" 429078 T DFLOAT (NIL) -8 NIL NIL NIL) (-227 421843 422148 422537 "DFINTTLS" 423312 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-226 418662 419864 420264 "DERHAM" 421509 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-225 416198 418437 418526 "DEQUEUE" 418606 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-224 415440 415585 415768 "DEGRED" 416060 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-223 411846 412615 413461 "DEFINTRF" 414668 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-222 409383 409870 410462 "DEFINTEF" 411365 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-221 408667 409003 409118 "DEFAST" 409288 T DEFAST (NIL) -8 NIL NIL NIL) (-220 401703 408260 408410 "DECIMAL" 408537 T DECIMAL (NIL) -8 NIL NIL NIL) (-219 399161 399673 400179 "DDFACT" 401247 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-218 398751 398800 398951 "DBLRESP" 399112 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-217 397952 398521 398612 "DBASIS" 398700 NIL DBASIS (NIL NIL) -8 NIL NIL NIL) (-216 395736 396182 396543 "DBASE" 397718 NIL DBASE (NIL T) -8 NIL NIL NIL) (-215 394924 395216 395362 "DATAARY" 395635 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-214 393982 394883 394911 "D03FAFA" 394916 T D03FAFA (NIL) -8 NIL NIL NIL) (-213 393041 393941 393969 "D03EEFA" 393974 T D03EEFA (NIL) -8 NIL NIL NIL) (-212 390967 391457 391946 "D03AGNT" 392572 T D03AGNT (NIL) -7 NIL NIL NIL) (-211 390208 390926 390954 "D02EJFA" 390959 T D02EJFA (NIL) -8 NIL NIL NIL) (-210 389449 390167 390195 "D02CJFA" 390200 T D02CJFA (NIL) -8 NIL NIL NIL) (-209 388690 389408 389436 "D02BHFA" 389441 T D02BHFA (NIL) -8 NIL NIL NIL) (-208 387931 388649 388677 "D02BBFA" 388682 T D02BBFA (NIL) -8 NIL NIL NIL) (-207 381062 382717 384323 "D02AGNT" 386345 T D02AGNT (NIL) -7 NIL NIL NIL) (-206 378812 379353 379899 "D01WGTS" 380536 T D01WGTS (NIL) -7 NIL NIL NIL) (-205 377819 378771 378799 "D01TRNS" 378804 T D01TRNS (NIL) -8 NIL NIL NIL) (-204 376827 377778 377806 "D01GBFA" 377811 T D01GBFA (NIL) -8 NIL NIL NIL) (-203 375835 376786 376814 "D01FCFA" 376819 T D01FCFA (NIL) -8 NIL NIL NIL) (-202 374843 375794 375822 "D01ASFA" 375827 T D01ASFA (NIL) -8 NIL NIL NIL) (-201 373851 374802 374830 "D01AQFA" 374835 T D01AQFA (NIL) -8 NIL NIL NIL) (-200 372859 373810 373838 "D01APFA" 373843 T D01APFA (NIL) -8 NIL NIL NIL) (-199 371867 372818 372846 "D01ANFA" 372851 T D01ANFA (NIL) -8 NIL NIL NIL) (-198 370875 371826 371854 "D01AMFA" 371859 T D01AMFA (NIL) -8 NIL NIL NIL) (-197 369883 370834 370862 "D01ALFA" 370867 T D01ALFA (NIL) -8 NIL NIL NIL) (-196 368891 369842 369870 "D01AKFA" 369875 T D01AKFA (NIL) -8 NIL NIL NIL) (-195 367899 368850 368878 "D01AJFA" 368883 T D01AJFA (NIL) -8 NIL NIL NIL) (-194 361122 362747 364308 "D01AGNT" 366358 T D01AGNT (NIL) -7 NIL NIL NIL) (-193 360441 360587 360739 "CYCLOTOM" 360990 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-192 357096 357889 358616 "CYCLES" 359734 T CYCLES (NIL) -7 NIL NIL NIL) (-191 356396 356542 356713 "CVMP" 356957 NIL CVMP (NIL T) -7 NIL NIL NIL) (-190 354183 354495 354864 "CTRIGMNP" 356124 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-189 353541 353977 354050 "CTOR" 354130 T CTOR (NIL) -8 NIL NIL NIL) (-188 353014 353272 353373 "CTORKIND" 353460 T CTORKIND (NIL) -8 NIL NIL NIL) (-187 352219 352607 352635 "CTORCAT" 352817 T CTORCAT (NIL) -9 NIL 352930 NIL) (-186 351793 351928 352087 "CTORCAT-" 352092 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-185 351207 351467 351575 "CTORCALL" 351717 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-184 350563 350680 350833 "CSTTOOLS" 351104 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-183 346260 347019 347777 "CRFP" 349875 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-182 345675 345981 346073 "CRCEAST" 346188 T CRCEAST (NIL) -8 NIL NIL NIL) (-181 344698 344907 345135 "CRAPACK" 345479 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-180 344078 344183 344387 "CPMATCH" 344574 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-179 343797 343831 343937 "CPIMA" 344044 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-178 340055 340817 341536 "COORDSYS" 343132 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-177 339443 339588 339730 "CONTOUR" 339933 T CONTOUR (NIL) -8 NIL NIL NIL) (-176 334908 337446 337938 "CONTFRAC" 338983 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-175 334782 334809 334837 "CONDUIT" 334874 T CONDUIT (NIL) -9 NIL NIL NIL) (-174 333736 334410 334438 "COMRING" 334443 T COMRING (NIL) -9 NIL 334495 NIL) (-173 332718 333094 333278 "COMPPROP" 333572 T COMPPROP (NIL) -8 NIL NIL NIL) (-172 332373 332414 332542 "COMPLPAT" 332677 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-171 320756 332182 332291 "COMPLEX" 332296 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 320386 320449 320556 "COMPLEX2" 320693 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-169 319707 319846 320006 "COMPILER" 320246 T COMPILER (NIL) -8 NIL NIL NIL) (-168 319419 319460 319558 "COMPFACT" 319666 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-167 300794 313123 313163 "COMPCAT" 314167 NIL COMPCAT (NIL T) -9 NIL 315515 NIL) (-166 289682 293233 296860 "COMPCAT-" 297216 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-165 289405 289439 289542 "COMMUPC" 289648 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-164 289193 289233 289292 "COMMONOP" 289366 T COMMONOP (NIL) -7 NIL NIL NIL) (-163 288701 288944 289031 "COMM" 289126 T COMM (NIL) -8 NIL NIL NIL) (-162 288223 288505 288580 "COMMAAST" 288646 T COMMAAST (NIL) -8 NIL NIL NIL) (-161 287418 287666 287694 "COMBOPC" 288032 T COMBOPC (NIL) -9 NIL 288207 NIL) (-160 286272 286524 286766 "COMBINAT" 287208 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-159 282615 283303 283930 "COMBF" 285694 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-158 281277 281731 281966 "COLOR" 282400 T COLOR (NIL) -8 NIL NIL NIL) (-157 280693 280998 281090 "COLONAST" 281205 T COLONAST (NIL) -8 NIL NIL NIL) (-156 280327 280380 280505 "CMPLXRT" 280640 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-155 279715 280027 280126 "CLLCTAST" 280248 T CLLCTAST (NIL) -8 NIL NIL NIL) (-154 275175 276245 277325 "CLIP" 278655 T CLIP (NIL) -7 NIL NIL NIL) (-153 273348 274276 274516 "CLIF" 275002 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-152 269330 271466 271507 "CLAGG" 272436 NIL CLAGG (NIL T) -9 NIL 272972 NIL) (-151 267674 268209 268792 "CLAGG-" 268797 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-150 267212 267303 267443 "CINTSLPE" 267583 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-149 264677 265184 265732 "CHVAR" 266740 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-148 263717 264391 264419 "CHARZ" 264424 T CHARZ (NIL) -9 NIL 264439 NIL) (-147 263465 263511 263589 "CHARPOL" 263671 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-146 262383 263096 263124 "CHARNZ" 263171 T CHARNZ (NIL) -9 NIL 263227 NIL) (-145 260127 261037 261390 "CHAR" 262050 T CHAR (NIL) -8 NIL NIL NIL) (-144 259835 259914 259942 "CFCAT" 260053 T CFCAT (NIL) -9 NIL NIL NIL) (-143 259058 259187 259370 "CDEN" 259719 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-142 254655 258211 258491 "CCLASS" 258798 T CCLASS (NIL) -8 NIL NIL NIL) (-141 253876 254063 254240 "CATEGORY" 254498 T -10 (NIL) -8 NIL NIL NIL) (-140 253371 253795 253843 "CATCTOR" 253848 T CATCTOR (NIL) -8 NIL NIL NIL) (-139 252762 253074 253172 "CATAST" 253293 T CATAST (NIL) -8 NIL NIL NIL) (-138 252178 252483 252575 "CASEAST" 252690 T CASEAST (NIL) -8 NIL NIL NIL) (-137 247076 248335 249079 "CARTEN" 251490 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 246172 246332 246553 "CARTEN2" 246923 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-135 244302 245322 245579 "CARD" 245935 T CARD (NIL) -8 NIL NIL NIL) (-134 243824 244106 244181 "CAPSLAST" 244247 T CAPSLAST (NIL) -8 NIL NIL NIL) (-133 243266 243522 243550 "CACHSET" 243682 T CACHSET (NIL) -9 NIL 243760 NIL) (-132 242656 243044 243072 "CABMON" 243122 T CABMON (NIL) -9 NIL 243178 NIL) (-131 242093 242360 242470 "BYTEORD" 242566 T BYTEORD (NIL) -8 NIL NIL NIL) (-130 240944 241622 241764 "BYTE" 241927 T BYTE (NIL) -8 NIL NIL 242049) (-129 235871 240449 240621 "BYTEBUF" 240792 T BYTEBUF (NIL) -8 NIL NIL NIL) (-128 233133 235563 235670 "BTREE" 235797 NIL BTREE (NIL T) -8 NIL NIL NIL) (-127 230335 232781 232903 "BTOURN" 233043 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-126 227442 229777 229818 "BTCAT" 229886 NIL BTCAT (NIL T) -9 NIL 229963 NIL) (-125 227091 227189 227338 "BTCAT-" 227343 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-124 221982 226337 226365 "BTAGG" 226479 T BTAGG (NIL) -9 NIL 226589 NIL) (-123 221436 221597 221803 "BTAGG-" 221808 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-122 218172 220714 220929 "BSTREE" 221253 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-121 217280 217436 217620 "BRILL" 218028 NIL BRILL (NIL T) -7 NIL NIL NIL) (-120 213675 215978 216019 "BRAGG" 216668 NIL BRAGG (NIL T) -9 NIL 216926 NIL) (-119 212108 212610 213165 "BRAGG-" 213170 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-118 204344 211452 211637 "BPADICRT" 211955 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-117 202353 204281 204326 "BPADIC" 204331 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-116 202045 202081 202195 "BOUNDZRO" 202317 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-115 197027 198471 199383 "BOP" 201153 T BOP (NIL) -8 NIL NIL NIL) (-114 194754 195212 195687 "BOP1" 196585 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-113 194437 194516 194544 "BOOLE" 194655 T BOOLE (NIL) -9 NIL 194737 NIL) (-112 193088 194011 194160 "BOOLEAN" 194308 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 192257 192757 192811 "BMODULE" 192816 NIL BMODULE (NIL T T) -9 NIL 192881 NIL) (-110 187578 192055 192128 "BITS" 192204 T BITS (NIL) -8 NIL NIL NIL) (-109 186975 187118 187258 "BINDING" 187458 T BINDING (NIL) -8 NIL NIL NIL) (-108 180014 186570 186719 "BINARY" 186846 T BINARY (NIL) -8 NIL NIL NIL) (-107 177621 179241 179282 "BGAGG" 179542 NIL BGAGG (NIL T) -9 NIL 179679 NIL) (-106 177446 177484 177575 "BGAGG-" 177580 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 176469 176830 177035 "BFUNCT" 177261 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 175139 175337 175625 "BEZOUT" 176293 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 171337 173991 174321 "BBTREE" 174842 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 170920 171016 171044 "BASTYPE" 171221 T BASTYPE (NIL) -9 NIL 171320 NIL) (-101 170578 170677 170812 "BASTYPE-" 170817 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 170000 170088 170240 "BALFACT" 170489 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 168736 169415 169601 "AUTOMOR" 169845 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 168462 168467 168493 "ATTREG" 168498 T ATTREG (NIL) -9 NIL NIL NIL) (-97 166624 167159 167511 "ATTRBUT" 168128 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 166178 166452 166518 "ATTRAST" 166576 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 165678 165827 165853 "ATRIG" 166054 T ATRIG (NIL) -9 NIL NIL NIL) (-94 165475 165528 165615 "ATRIG-" 165620 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 165058 165292 165318 "ASTCAT" 165323 T ASTCAT (NIL) -9 NIL 165353 NIL) (-92 164767 164844 164963 "ASTCAT-" 164968 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 162741 164543 164631 "ASTACK" 164710 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 161230 161543 161908 "ASSOCEQ" 162423 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 160154 160889 161013 "ASP9" 161137 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 159881 160102 160141 "ASP8" 160146 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 158641 159486 159628 "ASP80" 159770 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 157431 158276 158408 "ASP7" 158540 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 156277 157108 157226 "ASP78" 157344 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 155138 155957 156074 "ASP77" 156191 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 153942 154776 154907 "ASP74" 155038 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 152734 153577 153709 "ASP73" 153841 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 151730 152560 152660 "ASP6" 152665 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 150569 151407 151525 "ASP55" 151643 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 149410 150243 150362 "ASP50" 150481 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 148390 149111 149221 "ASP4" 149331 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 147370 148091 148201 "ASP49" 148311 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 146046 146909 147077 "ASP42" 147259 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 144715 145579 145749 "ASP41" 145933 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 143557 144392 144510 "ASP35" 144628 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 143286 143505 143544 "ASP34" 143549 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 143005 143090 143166 "ASP33" 143241 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 141791 142640 142772 "ASP31" 142904 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 141520 141739 141778 "ASP30" 141783 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 141237 141324 141400 "ASP29" 141475 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 140966 141185 141224 "ASP28" 141229 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 140695 140914 140953 "ASP27" 140958 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 139671 140393 140504 "ASP24" 140615 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 138640 139473 139585 "ASP20" 139590 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 137620 138341 138451 "ASP1" 138561 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 136455 137294 137413 "ASP19" 137532 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 136174 136259 136335 "ASP12" 136410 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 134918 135773 135917 "ASP10" 136061 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 132530 134762 134853 "ARRAY2" 134858 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 127890 132178 132292 "ARRAY1" 132447 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 126904 127095 127316 "ARRAY12" 127713 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 120949 123106 123181 "ARR2CAT" 125811 NIL ARR2CAT (NIL T T T) -9 NIL 126569 NIL) (-56 118239 119127 120081 "ARR2CAT-" 120086 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 117490 117866 117991 "ARITY" 118132 T ARITY (NIL) -8 NIL NIL NIL) (-54 116248 116418 116717 "APPRULE" 117326 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 115893 115947 116066 "APPLYORE" 116194 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 115193 115486 115606 "ANY" 115791 T ANY (NIL) -8 NIL NIL NIL) (-51 114447 114594 114751 "ANY1" 115067 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 111773 112884 113211 "ANTISYM" 114171 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 111217 111480 111576 "ANON" 111695 T ANON (NIL) -8 NIL NIL NIL) (-48 104373 109756 110210 "AN" 110781 T AN (NIL) -8 NIL NIL NIL) (-47 100029 101645 101696 "AMR" 102444 NIL AMR (NIL T T) -9 NIL 103044 NIL) (-46 99081 99362 99725 "AMR-" 99730 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 82550 98998 99059 "ALIST" 99064 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 78847 82144 82313 "ALGSC" 82468 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 75297 75957 76564 "ALGPKG" 78287 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 74562 74675 74859 "ALGMFACT" 75183 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 70545 71176 71770 "ALGMANIP" 74146 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 59884 70171 70321 "ALGFF" 70478 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 59056 59211 59390 "ALGFACT" 59742 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 57845 58583 58621 "ALGEBRA" 58626 NIL ALGEBRA (NIL T) -9 NIL 58667 NIL) (-37 57545 57622 57754 "ALGEBRA-" 57759 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 38506 55382 55434 "ALAGG" 55570 NIL ALAGG (NIL T T) -9 NIL 55731 NIL) (-35 38006 38155 38181 "AHYP" 38382 T AHYP (NIL) -9 NIL NIL NIL) (-34 36891 37185 37211 "AGG" 37710 T AGG (NIL) -9 NIL 37989 NIL) (-33 36289 36487 36701 "AGG-" 36706 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 34049 34518 34923 "AF" 35931 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 33469 33774 33864 "ADDAST" 33977 T ADDAST (NIL) -8 NIL NIL NIL) (-30 32701 32996 33152 "ACPLOT" 33331 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 20258 29633 29671 "ACFS" 30278 NIL ACFS (NIL T) -9 NIL 30517 NIL) (-28 18165 18775 19537 "ACFS-" 19542 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 13873 16198 16224 "ACF" 17103 T ACF (NIL) -9 NIL 17516 NIL) (-26 12505 12911 13404 "ACF-" 13409 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 12015 12258 12284 "ABELSG" 12376 T ABELSG (NIL) -9 NIL 12441 NIL) (-24 11876 11907 11973 "ABELSG-" 11978 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 11145 11492 11518 "ABELMON" 11688 T ABELMON (NIL) -9 NIL 11800 NIL) (-22 10785 10893 11031 "ABELMON-" 11036 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 10035 10491 10517 "ABELGRP" 10589 T ABELGRP (NIL) -9 NIL 10664 NIL) (-20 9462 9627 9843 "ABELGRP-" 9848 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4579 8724 8763 "A1AGG" 8768 NIL A1AGG (NIL T) -9 NIL 8808 NIL) (-18 30 1497 3059 "A1AGG-" 3064 NIL A1AGG- (NIL T T) -8 NIL NIL NIL))
\ No newline at end of file +((-3 3465692 3465697 3465702 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-2 3465677 3465682 3465687 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1 3465662 3465667 3465672 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (0 3465647 3465652 3465657 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1321 3464634 3465522 3465599 "ZMOD" 3465604 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1320 3463670 3463852 3464075 "ZLINDEP" 3464466 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1319 3452832 3454738 3456710 "ZDSOLVE" 3461800 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1318 3452066 3452219 3452408 "YSTREAM" 3452678 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1317 3451434 3451740 3451853 "YDIAGRAM" 3451975 T YDIAGRAM (NIL) -8 NIL NIL NIL) (-1316 3448882 3450735 3450939 "XRPOLY" 3451277 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1315 3445149 3446753 3447328 "XPR" 3448354 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1314 3442544 3444480 3444684 "XPOLY" 3444980 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1313 3439875 3441551 3441606 "XPOLYC" 3441894 NIL XPOLYC (NIL T T) -9 NIL 3442007 NIL) (-1312 3435821 3438392 3438780 "XPBWPOLY" 3439533 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1311 3431090 3433797 3433839 "XF" 3434460 NIL XF (NIL T) -9 NIL 3434860 NIL) (-1310 3430687 3430799 3430968 "XF-" 3430973 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1309 3425579 3427158 3427213 "XFALG" 3429385 NIL XFALG (NIL T T) -9 NIL 3430174 NIL) (-1308 3424694 3424816 3425021 "XEXPPKG" 3425471 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1307 3422435 3424544 3424640 "XDPOLY" 3424645 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1306 3421090 3421828 3421871 "XALG" 3421876 NIL XALG (NIL T) -9 NIL 3421987 NIL) (-1305 3414000 3419067 3419561 "WUTSET" 3420682 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1304 3412102 3413052 3413375 "WP" 3413811 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1303 3411650 3411924 3411994 "WHILEAST" 3412054 T WHILEAST (NIL) -8 NIL NIL NIL) (-1302 3411062 3411367 3411461 "WHEREAST" 3411578 T WHEREAST (NIL) -8 NIL NIL NIL) (-1301 3409936 3410146 3410441 "WFFINTBS" 3410859 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1300 3407804 3408267 3408729 "WEIER" 3409508 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1299 3406728 3407286 3407328 "VSPACE" 3407464 NIL VSPACE (NIL T) -9 NIL 3407538 NIL) (-1298 3406560 3406593 3406684 "VSPACE-" 3406689 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1297 3406357 3406411 3406479 "VOID" 3406514 T VOID (NIL) -8 NIL NIL NIL) (-1296 3404457 3404852 3405258 "VIEW" 3405973 T VIEW (NIL) -7 NIL NIL NIL) (-1295 3400725 3401520 3402257 "VIEWDEF" 3403742 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1294 3389669 3392273 3394446 "VIEW3D" 3398574 T VIEW3D (NIL) -8 NIL NIL NIL) (-1293 3381686 3383580 3385159 "VIEW2D" 3388112 T VIEW2D (NIL) -8 NIL NIL NIL) (-1292 3376592 3381456 3381548 "VECTOR" 3381629 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1291 3375145 3375428 3375746 "VECTOR2" 3376322 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1290 3368099 3372849 3372892 "VECTCAT" 3373887 NIL VECTCAT (NIL T) -9 NIL 3374474 NIL) (-1289 3367041 3367367 3367757 "VECTCAT-" 3367762 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1288 3366447 3366692 3366812 "VARIABLE" 3366956 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1287 3366380 3366385 3366415 "UTYPE" 3366420 T UTYPE (NIL) -9 NIL NIL NIL) (-1286 3365188 3365364 3365626 "UTSODETL" 3366206 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1285 3362580 3363088 3363612 "UTSODE" 3364729 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1284 3353890 3360341 3360821 "UTS" 3362158 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1283 3343898 3349824 3349867 "UTSCAT" 3350979 NIL UTSCAT (NIL T) -9 NIL 3351737 NIL) (-1282 3341024 3341968 3342957 "UTSCAT-" 3342962 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1281 3340645 3340694 3340827 "UTS2" 3340975 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1280 3334512 3337455 3337498 "URAGG" 3339568 NIL URAGG (NIL T) -9 NIL 3340291 NIL) (-1279 3331235 3332314 3333437 "URAGG-" 3333442 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1278 3326604 3329870 3330335 "UPXSSING" 3330899 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1277 3318082 3325986 3326250 "UPXS" 3326398 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1276 3310497 3317986 3318058 "UPXSCONS" 3318063 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1275 3299246 3306700 3306762 "UPXSCCA" 3307336 NIL UPXSCCA (NIL T T) -9 NIL 3307569 NIL) (-1274 3298866 3298969 3299143 "UPXSCCA-" 3299148 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1273 3287515 3294694 3294737 "UPXSCAT" 3295385 NIL UPXSCAT (NIL T) -9 NIL 3295994 NIL) (-1272 3286939 3287024 3287203 "UPXS2" 3287430 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1271 3285575 3285846 3286197 "UPSQFREE" 3286682 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1270 3278405 3281843 3281898 "UPSCAT" 3282978 NIL UPSCAT (NIL T T) -9 NIL 3283743 NIL) (-1269 3277561 3277816 3278143 "UPSCAT-" 3278148 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1268 3261695 3270688 3270731 "UPOLYC" 3272832 NIL UPOLYC (NIL T) -9 NIL 3274053 NIL) (-1267 3252543 3255449 3258596 "UPOLYC-" 3258601 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1266 3252164 3252213 3252346 "UPOLYC2" 3252494 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1265 3242739 3251847 3251976 "UP" 3252083 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1264 3242060 3242185 3242349 "UPMP" 3242628 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1263 3241607 3241694 3241833 "UPDIVP" 3241973 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1262 3240145 3240424 3240740 "UPDECOMP" 3241356 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1261 3239358 3239488 3239674 "UPCDEN" 3240029 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1260 3238871 3238946 3239095 "UP2" 3239283 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1259 3237224 3238075 3238352 "UNISEG" 3238629 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1258 3236429 3236566 3236771 "UNISEG2" 3237067 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1257 3235471 3235669 3235895 "UNIFACT" 3236245 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1256 3217281 3234783 3235025 "ULS" 3235287 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1255 3203991 3217185 3217257 "ULSCONS" 3217262 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1254 3183792 3197072 3197134 "ULSCCAT" 3197772 NIL ULSCCAT (NIL T T) -9 NIL 3198061 NIL) (-1253 3182788 3183087 3183475 "ULSCCAT-" 3183480 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1252 3171234 3178335 3178378 "ULSCAT" 3179241 NIL ULSCAT (NIL T) -9 NIL 3179972 NIL) (-1251 3170658 3170743 3170922 "ULS2" 3171149 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1250 3169669 3170287 3170394 "UINT8" 3170505 T UINT8 (NIL) -8 NIL NIL 3170590) (-1249 3168679 3169297 3169404 "UINT64" 3169515 T UINT64 (NIL) -8 NIL NIL 3169600) (-1248 3167689 3168307 3168414 "UINT32" 3168525 T UINT32 (NIL) -8 NIL NIL 3168610) (-1247 3166699 3167317 3167424 "UINT16" 3167535 T UINT16 (NIL) -8 NIL NIL 3167620) (-1246 3164778 3165945 3165975 "UFD" 3166187 T UFD (NIL) -9 NIL 3166301 NIL) (-1245 3164560 3164618 3164713 "UFD-" 3164718 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1244 3163618 3163825 3164041 "UDVO" 3164366 T UDVO (NIL) -7 NIL NIL NIL) (-1243 3161384 3161843 3162314 "UDPO" 3163182 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1242 3161317 3161322 3161352 "TYPE" 3161357 T TYPE (NIL) -9 NIL NIL NIL) (-1241 3161029 3161272 3161303 "TYPEAST" 3161308 T TYPEAST (NIL) -8 NIL NIL NIL) (-1240 3159982 3160202 3160442 "TWOFACT" 3160823 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1239 3158957 3159391 3159626 "TUPLE" 3159782 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1238 3156594 3157167 3157706 "TUBETOOL" 3158440 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1237 3155407 3155648 3155889 "TUBE" 3156387 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1236 3149586 3154379 3154662 "TS" 3155159 NIL TS (NIL T) -8 NIL NIL NIL) (-1235 3137728 3142343 3142440 "TSETCAT" 3147709 NIL TSETCAT (NIL T T T T) -9 NIL 3149241 NIL) (-1234 3132196 3134060 3135951 "TSETCAT-" 3135956 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1233 3126669 3127682 3128611 "TRMANIP" 3131332 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1232 3126098 3126173 3126336 "TRIMAT" 3126601 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1231 3123910 3124201 3124558 "TRIGMNIP" 3125847 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1230 3123394 3123543 3123573 "TRIGCAT" 3123786 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1229 3123039 3123142 3123283 "TRIGCAT-" 3123288 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1228 3119653 3121897 3122178 "TREE" 3122793 NIL TREE (NIL T) -8 NIL NIL NIL) (-1227 3118759 3119455 3119485 "TRANFUN" 3119520 T TRANFUN (NIL) -9 NIL 3119586 NIL) (-1226 3117978 3118229 3118509 "TRANFUN-" 3118514 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1225 3117776 3117814 3117875 "TOPSP" 3117939 T TOPSP (NIL) -7 NIL NIL NIL) (-1224 3117106 3117239 3117393 "TOOLSIGN" 3117657 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1223 3115620 3116283 3116522 "TEXTFILE" 3116889 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1222 3113424 3114073 3114502 "TEX" 3115213 T TEX (NIL) -8 NIL NIL NIL) (-1221 3113199 3113236 3113308 "TEX1" 3113387 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1220 3112835 3112910 3113000 "TEMUTL" 3113131 T TEMUTL (NIL) -7 NIL NIL NIL) (-1219 3110929 3111269 3111594 "TBCMPPK" 3112558 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1218 3102256 3109015 3109071 "TBAGG" 3109471 NIL TBAGG (NIL T T) -9 NIL 3109682 NIL) (-1217 3097140 3098814 3100568 "TBAGG-" 3100573 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1216 3096506 3096631 3096776 "TANEXP" 3097029 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1215 3095957 3096281 3096371 "TALGOP" 3096451 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1214 3088971 3095814 3095907 "TABLE" 3095912 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1213 3088365 3088482 3088620 "TABLEAU" 3088868 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1212 3082895 3084193 3085441 "TABLBUMP" 3087151 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1211 3082105 3082264 3082445 "SYSTEM" 3082736 T SYSTEM (NIL) -8 NIL NIL NIL) (-1210 3078510 3079263 3080046 "SYSSOLP" 3081356 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1209 3078272 3078465 3078496 "SYSPTR" 3078501 T SYSPTR (NIL) -8 NIL NIL NIL) (-1208 3077200 3077813 3077932 "SYSNNI" 3078118 NIL SYSNNI (NIL NIL) -8 NIL NIL 3078203) (-1207 3076403 3076958 3077037 "SYSINT" 3077097 NIL SYSINT (NIL NIL) -8 NIL NIL 3077142) (-1206 3072501 3073681 3074391 "SYNTAX" 3075715 T SYNTAX (NIL) -8 NIL NIL NIL) (-1205 3069581 3070261 3070893 "SYMTAB" 3071891 T SYMTAB (NIL) -8 NIL NIL NIL) (-1204 3064680 3065732 3066715 "SYMS" 3068620 T SYMS (NIL) -8 NIL NIL NIL) (-1203 3061595 3064138 3064368 "SYMPOLY" 3064485 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1202 3061100 3061187 3061310 "SYMFUNC" 3061507 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1201 3056898 3058412 3059225 "SYMBOL" 3060309 T SYMBOL (NIL) -8 NIL NIL NIL) (-1200 3050371 3052126 3053846 "SWITCH" 3055200 T SWITCH (NIL) -8 NIL NIL NIL) (-1199 3043125 3049327 3049621 "SUTS" 3050135 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1198 3034603 3042507 3042771 "SUPXS" 3042919 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1197 3025126 3034221 3034347 "SUP" 3034512 NIL SUP (NIL T) -8 NIL NIL NIL) (-1196 3024273 3024412 3024629 "SUPFRACF" 3024994 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1195 3023888 3023953 3024066 "SUP2" 3024208 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1194 3022312 3022610 3022966 "SUMRF" 3023587 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1193 3021635 3021713 3021905 "SUMFS" 3022233 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1192 3003480 3020947 3021189 "SULS" 3021451 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1191 3003028 3003302 3003372 "SUCHTAST" 3003432 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1190 3002269 3002553 3002693 "SUCH" 3002936 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1189 2995908 2997175 2998134 "SUBSPACE" 3001357 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1188 2995328 2995428 2995592 "SUBRESP" 2995796 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1187 2988522 2989993 2991304 "STTF" 2994064 NIL STTF (NIL T) -7 NIL NIL NIL) (-1186 2982533 2983815 2984962 "STTFNC" 2987422 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1185 2973650 2975715 2977509 "STTAYLOR" 2980774 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1184 2966404 2973514 2973597 "STRTBL" 2973602 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1183 2960801 2966113 2966212 "STRING" 2966327 T STRING (NIL) -8 NIL NIL NIL) (-1182 2952911 2958420 2959031 "STREAM" 2960225 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1181 2952415 2952498 2952642 "STREAM3" 2952828 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1180 2951379 2951580 2951815 "STREAM2" 2952228 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1179 2951061 2951119 2951212 "STREAM1" 2951321 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1178 2950053 2950258 2950489 "STINPROD" 2950877 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1177 2949549 2949801 2949831 "STEP" 2949911 T STEP (NIL) -9 NIL 2949989 NIL) (-1176 2948664 2949038 2949186 "STEPAST" 2949423 T STEPAST (NIL) -8 NIL NIL NIL) (-1175 2941720 2948563 2948640 "STBL" 2948645 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1174 2936278 2940883 2940926 "STAGG" 2941079 NIL STAGG (NIL T) -9 NIL 2941168 NIL) (-1173 2933830 2934582 2935454 "STAGG-" 2935459 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1172 2931802 2933600 2933692 "STACK" 2933773 NIL STACK (NIL T) -8 NIL NIL NIL) (-1171 2923809 2929943 2930399 "SREGSET" 2931432 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1170 2916156 2917603 2919116 "SRDCMPK" 2922415 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1169 2908465 2913515 2913545 "SRAGG" 2914848 T SRAGG (NIL) -9 NIL 2915456 NIL) (-1168 2907416 2907737 2908116 "SRAGG-" 2908121 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1167 2901000 2906363 2906784 "SQMATRIX" 2907042 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1166 2894412 2897718 2898445 "SPLTREE" 2900345 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1165 2890237 2891068 2891714 "SPLNODE" 2893838 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1164 2889212 2889517 2889547 "SPFCAT" 2889991 T SPFCAT (NIL) -9 NIL NIL NIL) (-1163 2887907 2888159 2888423 "SPECOUT" 2888970 T SPECOUT (NIL) -7 NIL NIL NIL) (-1162 2878559 2880875 2880905 "SPADXPT" 2885581 T SPADXPT (NIL) -9 NIL 2887745 NIL) (-1161 2878314 2878360 2878429 "SPADPRSR" 2878512 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1160 2875919 2878269 2878300 "SPADAST" 2878305 T SPADAST (NIL) -8 NIL NIL NIL) (-1159 2867520 2869623 2869666 "SPACEC" 2874039 NIL SPACEC (NIL T) -9 NIL 2875855 NIL) (-1158 2865320 2867452 2867501 "SPACE3" 2867506 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1157 2864052 2864243 2864534 "SORTPAK" 2865125 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1156 2862114 2862447 2862859 "SOLVETRA" 2863716 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1155 2861152 2861386 2861647 "SOLVESER" 2861887 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1154 2856384 2857344 2858339 "SOLVERAD" 2860204 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1153 2852109 2852808 2853537 "SOLVEFOR" 2855751 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1152 2845720 2851457 2851554 "SNTSCAT" 2851559 NIL SNTSCAT (NIL T T T T) -9 NIL 2851629 NIL) (-1151 2839264 2844043 2844434 "SMTS" 2845410 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1150 2832979 2839152 2839229 "SMP" 2839234 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1149 2831108 2831439 2831837 "SMITH" 2832676 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1148 2822640 2827687 2827790 "SMATCAT" 2829141 NIL SMATCAT (NIL NIL T T T) -9 NIL 2829691 NIL) (-1147 2819412 2820403 2821581 "SMATCAT-" 2821586 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1146 2816881 2818620 2818663 "SKAGG" 2818924 NIL SKAGG (NIL T) -9 NIL 2819059 NIL) (-1145 2812375 2816354 2816538 "SINT" 2816690 T SINT (NIL) -8 NIL NIL 2816852) (-1144 2812141 2812185 2812251 "SIMPAN" 2812331 T SIMPAN (NIL) -7 NIL NIL NIL) (-1143 2811366 2811676 2811816 "SIG" 2812023 T SIG (NIL) -8 NIL NIL NIL) (-1142 2810186 2810425 2810700 "SIGNRF" 2811125 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1141 2809001 2809170 2809454 "SIGNEF" 2810015 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1140 2808241 2808584 2808708 "SIGAST" 2808899 T SIGAST (NIL) -8 NIL NIL NIL) (-1139 2805893 2806385 2806891 "SHP" 2807782 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1138 2799266 2805794 2805870 "SHDP" 2805875 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1137 2798777 2799017 2799047 "SGROUP" 2799140 T SGROUP (NIL) -9 NIL 2799202 NIL) (-1136 2798629 2798661 2798734 "SGROUP-" 2798739 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1135 2795348 2796118 2796841 "SGCF" 2797928 T SGCF (NIL) -7 NIL NIL NIL) (-1134 2789057 2794794 2794891 "SFRTCAT" 2794896 NIL SFRTCAT (NIL T T T T) -9 NIL 2794935 NIL) (-1133 2782376 2783496 2784632 "SFRGCD" 2788040 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1132 2775394 2776575 2777761 "SFQCMPK" 2781309 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1131 2774996 2775103 2775214 "SFORT" 2775335 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1130 2773922 2774836 2774957 "SEXOF" 2774962 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1129 2772837 2773803 2773871 "SEX" 2773876 T SEX (NIL) -8 NIL NIL NIL) (-1128 2768426 2769333 2769428 "SEXCAT" 2772050 NIL SEXCAT (NIL T T T T T) -9 NIL 2772610 NIL) (-1127 2765235 2768360 2768408 "SET" 2768413 NIL SET (NIL T) -8 NIL NIL NIL) (-1126 2763357 2763948 2764253 "SETMN" 2764976 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1125 2762887 2763075 2763105 "SETCAT" 2763222 T SETCAT (NIL) -9 NIL 2763307 NIL) (-1124 2762655 2762719 2762818 "SETCAT-" 2762823 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1123 2758758 2761116 2761159 "SETAGG" 2762029 NIL SETAGG (NIL T) -9 NIL 2762369 NIL) (-1122 2758180 2758332 2758569 "SETAGG-" 2758574 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1121 2757563 2757876 2757977 "SEQAST" 2758101 T SEQAST (NIL) -8 NIL NIL NIL) (-1120 2756690 2757056 2757117 "SEGXCAT" 2757403 NIL SEGXCAT (NIL T T) -9 NIL 2757523 NIL) (-1119 2755606 2756356 2756538 "SEG" 2756543 NIL SEG (NIL T) -8 NIL NIL NIL) (-1118 2754531 2754799 2754842 "SEGCAT" 2755364 NIL SEGCAT (NIL T) -9 NIL 2755585 NIL) (-1117 2753421 2753894 2754102 "SEGBIND" 2754358 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1116 2753036 2753101 2753214 "SEGBIND2" 2753356 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1115 2752555 2752837 2752914 "SEGAST" 2752981 T SEGAST (NIL) -8 NIL NIL NIL) (-1114 2751764 2751900 2752104 "SEG2" 2752399 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1113 2750997 2751699 2751746 "SDVAR" 2751751 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1112 2742348 2750767 2750897 "SDPOL" 2750902 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1111 2740917 2741207 2741526 "SCPKG" 2742063 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1110 2740039 2740253 2740445 "SCOPE" 2740747 T SCOPE (NIL) -8 NIL NIL NIL) (-1109 2739235 2739393 2739572 "SCACHE" 2739894 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1108 2738819 2739053 2739083 "SASTCAT" 2739088 T SASTCAT (NIL) -9 NIL 2739101 NIL) (-1107 2738222 2738654 2738730 "SAOS" 2738765 T SAOS (NIL) -8 NIL NIL NIL) (-1106 2737781 2737822 2737995 "SAERFFC" 2738181 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1105 2730808 2737678 2737758 "SAE" 2737763 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1104 2730395 2730436 2730595 "SAEFACT" 2730767 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1103 2728698 2729030 2729431 "RURPK" 2730061 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1102 2727275 2727641 2727946 "RULESET" 2728532 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1101 2724390 2725028 2725486 "RULE" 2726956 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1100 2723960 2724184 2724267 "RULECOLD" 2724342 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1099 2723744 2723778 2723849 "RTVALUE" 2723911 T RTVALUE (NIL) -8 NIL NIL NIL) (-1098 2723155 2723461 2723555 "RSTRCAST" 2723672 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1097 2717925 2718798 2719718 "RSETGCD" 2722354 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1096 2706496 2712233 2712330 "RSETCAT" 2716449 NIL RSETCAT (NIL T T T T) -9 NIL 2717546 NIL) (-1095 2704315 2704962 2705786 "RSETCAT-" 2705791 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1094 2696623 2698077 2699597 "RSDCMPK" 2702914 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1093 2694492 2695055 2695129 "RRCC" 2696215 NIL RRCC (NIL T T) -9 NIL 2696559 NIL) (-1092 2693813 2694017 2694296 "RRCC-" 2694301 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1091 2693196 2693509 2693610 "RPTAST" 2693734 T RPTAST (NIL) -8 NIL NIL NIL) (-1090 2665582 2676308 2676375 "RPOLCAT" 2687041 NIL RPOLCAT (NIL T T T) -9 NIL 2690201 NIL) (-1089 2656552 2659420 2662542 "RPOLCAT-" 2662547 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1088 2647005 2654763 2655245 "ROUTINE" 2656092 T ROUTINE (NIL) -8 NIL NIL NIL) (-1087 2643054 2646631 2646771 "ROMAN" 2646887 T ROMAN (NIL) -8 NIL NIL NIL) (-1086 2641166 2641914 2642174 "ROIRC" 2642859 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1085 2636884 2639655 2639685 "RNS" 2639989 T RNS (NIL) -9 NIL 2640263 NIL) (-1084 2635291 2635776 2636310 "RNS-" 2636385 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1083 2634584 2635088 2635118 "RNG" 2635123 T RNG (NIL) -9 NIL 2635144 NIL) (-1082 2633545 2633949 2634151 "RNGBIND" 2634435 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1081 2632840 2633318 2633361 "RMODULE" 2633366 NIL RMODULE (NIL T) -9 NIL 2633393 NIL) (-1080 2631664 2631770 2632106 "RMCAT2" 2632741 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1079 2628166 2631010 2631307 "RMATRIX" 2631426 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1078 2620665 2623253 2623368 "RMATCAT" 2626727 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2627709 NIL) (-1077 2620004 2620187 2620494 "RMATCAT-" 2620499 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1076 2619577 2619791 2619834 "RLINSET" 2619896 NIL RLINSET (NIL T) -9 NIL 2619940 NIL) (-1075 2619138 2619219 2619347 "RINTERP" 2619496 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1074 2618062 2618736 2618766 "RING" 2618822 T RING (NIL) -9 NIL 2618914 NIL) (-1073 2617842 2617898 2617995 "RING-" 2618000 NIL RING- (NIL T) -8 NIL NIL NIL) (-1072 2616653 2616920 2617178 "RIDIST" 2617606 T RIDIST (NIL) -7 NIL NIL NIL) (-1071 2607278 2616121 2616327 "RGCHAIN" 2616501 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1070 2606536 2607020 2607061 "RGBCSPC" 2607119 NIL RGBCSPC (NIL T) -9 NIL 2607171 NIL) (-1069 2605602 2606061 2606102 "RGBCMDL" 2606334 NIL RGBCMDL (NIL T) -9 NIL 2606448 NIL) (-1068 2602542 2603210 2603880 "RF" 2604966 NIL RF (NIL T) -7 NIL NIL NIL) (-1067 2602182 2602251 2602354 "RFFACTOR" 2602473 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1066 2601901 2601942 2602039 "RFFACT" 2602141 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1065 2599952 2600382 2600764 "RFDIST" 2601541 T RFDIST (NIL) -7 NIL NIL NIL) (-1064 2599399 2599497 2599660 "RETSOL" 2599854 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1063 2599017 2599115 2599158 "RETRACT" 2599291 NIL RETRACT (NIL T) -9 NIL 2599378 NIL) (-1062 2598860 2598891 2598978 "RETRACT-" 2598983 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1061 2598408 2598682 2598752 "RETAST" 2598812 T RETAST (NIL) -8 NIL NIL NIL) (-1060 2590758 2598061 2598188 "RESULT" 2598303 T RESULT (NIL) -8 NIL NIL NIL) (-1059 2589193 2590027 2590226 "RESRING" 2590661 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1058 2588817 2588878 2588976 "RESLATC" 2589130 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1057 2588516 2588557 2588664 "REPSQ" 2588776 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1056 2585896 2586518 2587120 "REP" 2587936 T REP (NIL) -7 NIL NIL NIL) (-1055 2585587 2585628 2585739 "REPDB" 2585855 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1054 2579419 2580876 2582099 "REP2" 2584399 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1053 2575722 2576477 2577285 "REP1" 2578646 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1052 2567730 2573863 2574319 "REGSET" 2575352 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1051 2566439 2566878 2567128 "REF" 2567515 NIL REF (NIL T) -8 NIL NIL NIL) (-1050 2565804 2565919 2566086 "REDORDER" 2566323 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1049 2561168 2565017 2565244 "RECLOS" 2565632 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1048 2560202 2560401 2560616 "REALSOLV" 2560975 T REALSOLV (NIL) -7 NIL NIL NIL) (-1047 2560036 2560089 2560119 "REAL" 2560124 T REAL (NIL) -9 NIL 2560159 NIL) (-1046 2556483 2557321 2558205 "REAL0Q" 2559201 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1045 2552036 2553072 2554133 "REAL0" 2555464 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1044 2551447 2551753 2551847 "RDUCEAST" 2551964 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1043 2550846 2550924 2551131 "RDIV" 2551369 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1042 2549896 2550088 2550301 "RDIST" 2550668 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1041 2548481 2548780 2549152 "RDETRS" 2549604 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1040 2546275 2546747 2547285 "RDETR" 2548023 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1039 2544894 2545178 2545575 "RDEEFS" 2545991 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1038 2543397 2543709 2544134 "RDEEF" 2544582 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1037 2536874 2540351 2540381 "RCFIELD" 2541676 T RCFIELD (NIL) -9 NIL 2542407 NIL) (-1036 2534830 2535442 2536138 "RCFIELD-" 2536213 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1035 2530882 2532903 2532946 "RCAGG" 2534030 NIL RCAGG (NIL T) -9 NIL 2534495 NIL) (-1034 2530492 2530604 2530767 "RCAGG-" 2530772 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1033 2529809 2529939 2530104 "RATRET" 2530376 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1032 2529350 2529429 2529550 "RATFACT" 2529737 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1031 2528628 2528778 2528930 "RANDSRC" 2529220 T RANDSRC (NIL) -7 NIL NIL NIL) (-1030 2528356 2528406 2528479 "RADUTIL" 2528577 T RADUTIL (NIL) -7 NIL NIL NIL) (-1029 2520480 2527187 2527498 "RADIX" 2528079 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1028 2510074 2520322 2520452 "RADFF" 2520457 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-1027 2509703 2509796 2509826 "RADCAT" 2509986 T RADCAT (NIL) -9 NIL NIL NIL) (-1026 2509473 2509533 2509633 "RADCAT-" 2509638 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-1025 2507384 2509243 2509335 "QUEUE" 2509416 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-1024 2503223 2507317 2507365 "QUAT" 2507370 NIL QUAT (NIL T) -8 NIL NIL NIL) (-1023 2502848 2502897 2503028 "QUATCT2" 2503174 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-1022 2495224 2499271 2499313 "QUATCAT" 2500104 NIL QUATCAT (NIL T) -9 NIL 2500870 NIL) (-1021 2491105 2492400 2493790 "QUATCAT-" 2493886 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-1020 2488361 2490153 2490196 "QUAGG" 2490577 NIL QUAGG (NIL T) -9 NIL 2490752 NIL) (-1019 2487909 2488183 2488253 "QQUTAST" 2488313 T QQUTAST (NIL) -8 NIL NIL NIL) (-1018 2486820 2487422 2487587 "QFORM" 2487790 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-1017 2476496 2482667 2482709 "QFCAT" 2483377 NIL QFCAT (NIL T) -9 NIL 2484378 NIL) (-1016 2471811 2473264 2474858 "QFCAT-" 2474954 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-1015 2471436 2471485 2471616 "QFCAT2" 2471762 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-1014 2470867 2471001 2471133 "QEQUAT" 2471326 T QEQUAT (NIL) -8 NIL NIL NIL) (-1013 2463885 2465066 2466252 "QCMPACK" 2469800 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-1012 2461335 2461871 2462301 "QALGSET" 2463540 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-1011 2460564 2460746 2460982 "QALGSET2" 2461153 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-1010 2459231 2459473 2459792 "PWFFINTB" 2460337 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-1009 2457376 2457574 2457930 "PUSHVAR" 2459045 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-1008 2453103 2454319 2454362 "PTRANFN" 2456273 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-1007 2451440 2451785 2452109 "PTPACK" 2452814 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-1006 2451063 2451126 2451237 "PTFUNC2" 2451377 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-1005 2444988 2449852 2449895 "PTCAT" 2450195 NIL PTCAT (NIL T) -9 NIL 2450348 NIL) (-1004 2444637 2444678 2444804 "PSQFR" 2444947 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-1003 2443209 2443525 2443861 "PSEUDLIN" 2444335 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-1002 2429729 2432304 2434630 "PSETPK" 2440969 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-1001 2422437 2425465 2425563 "PSETCAT" 2428604 NIL PSETCAT (NIL T T T T) -9 NIL 2429418 NIL) (-1000 2420162 2420904 2421728 "PSETCAT-" 2421733 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-999 2419481 2419676 2419704 "PSCURVE" 2419972 T PSCURVE (NIL) -9 NIL 2420139 NIL) (-998 2415207 2416981 2417046 "PSCAT" 2417890 NIL PSCAT (NIL T T T) -9 NIL 2418130 NIL) (-997 2414204 2414486 2414886 "PSCAT-" 2414891 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-996 2412413 2413273 2413536 "PRTITION" 2413961 T PRTITION (NIL) -8 NIL NIL NIL) (-995 2411828 2412134 2412226 "PRTDAST" 2412341 T PRTDAST (NIL) -8 NIL NIL NIL) (-994 2400710 2403132 2405320 "PRS" 2409690 NIL PRS (NIL T T) -7 NIL NIL NIL) (-993 2398330 2400032 2400072 "PRQAGG" 2400255 NIL PRQAGG (NIL T) -9 NIL 2400357 NIL) (-992 2397600 2397971 2397999 "PROPLOG" 2398138 T PROPLOG (NIL) -9 NIL 2398253 NIL) (-991 2397198 2397261 2397384 "PROPFUN2" 2397523 NIL PROPFUN2 (NIL T T) -8 NIL NIL NIL) (-990 2396495 2396634 2396806 "PROPFUN1" 2397059 NIL PROPFUN1 (NIL T) -8 NIL NIL NIL) (-989 2394556 2395242 2395539 "PROPFRML" 2396231 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-988 2394001 2394132 2394260 "PROPERTY" 2394448 T PROPERTY (NIL) -8 NIL NIL NIL) (-987 2387889 2392167 2392987 "PRODUCT" 2393227 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-986 2384847 2387347 2387581 "PR" 2387700 NIL PR (NIL T T) -8 NIL NIL NIL) (-985 2384637 2384675 2384734 "PRINT" 2384808 T PRINT (NIL) -7 NIL NIL NIL) (-984 2383953 2384094 2384246 "PRIMES" 2384517 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-983 2382000 2382419 2382885 "PRIMELT" 2383532 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-982 2381717 2381778 2381806 "PRIMCAT" 2381930 T PRIMCAT (NIL) -9 NIL NIL NIL) (-981 2377439 2381655 2381700 "PRIMARR" 2381705 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-980 2376428 2376624 2376852 "PRIMARR2" 2377257 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-979 2376065 2376127 2376238 "PREASSOC" 2376366 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-978 2375516 2375673 2375701 "PPCURVE" 2375906 T PPCURVE (NIL) -9 NIL 2376042 NIL) (-977 2375063 2375311 2375394 "PORTNUM" 2375453 T PORTNUM (NIL) -8 NIL NIL NIL) (-976 2372400 2372821 2373413 "POLYROOT" 2374644 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-975 2365608 2372004 2372164 "POLY" 2372273 NIL POLY (NIL T) -8 NIL NIL NIL) (-974 2364985 2365049 2365283 "POLYLIFT" 2365544 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-973 2361206 2361709 2362338 "POLYCATQ" 2364530 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-972 2346854 2352953 2353018 "POLYCAT" 2356532 NIL POLYCAT (NIL T T T) -9 NIL 2358410 NIL) (-971 2339973 2342165 2344549 "POLYCAT-" 2344554 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-970 2339554 2339628 2339748 "POLY2UP" 2339899 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-969 2339180 2339243 2339352 "POLY2" 2339491 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-968 2337841 2338104 2338380 "POLUTIL" 2338954 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-967 2336160 2336473 2336804 "POLTOPOL" 2337563 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-966 2331156 2336094 2336141 "POINT" 2336146 NIL POINT (NIL T) -8 NIL NIL NIL) (-965 2329289 2329700 2330075 "PNTHEORY" 2330801 T PNTHEORY (NIL) -7 NIL NIL NIL) (-964 2327735 2328044 2328443 "PMTOOLS" 2328987 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-963 2327322 2327406 2327523 "PMSYM" 2327651 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-962 2326824 2326899 2327074 "PMQFCAT" 2327247 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-961 2326167 2326289 2326445 "PMPRED" 2326701 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-960 2325548 2325646 2325808 "PMPREDFS" 2326068 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-959 2324202 2324420 2324798 "PMPLCAT" 2325310 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-958 2323728 2323813 2323965 "PMLSAGG" 2324117 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-957 2323195 2323277 2323459 "PMKERNEL" 2323646 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-956 2322806 2322887 2323000 "PMINS" 2323114 NIL PMINS (NIL T) -7 NIL NIL NIL) (-955 2322242 2322317 2322526 "PMFS" 2322731 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-954 2321458 2321588 2321793 "PMDOWN" 2322119 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-953 2320601 2320783 2320964 "PMASS" 2321297 T PMASS (NIL) -7 NIL NIL NIL) (-952 2319850 2319984 2320147 "PMASSFS" 2320488 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-951 2319499 2319573 2319667 "PLOTTOOL" 2319776 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-950 2313920 2315310 2316458 "PLOT" 2318371 T PLOT (NIL) -8 NIL NIL NIL) (-949 2309574 2310768 2311689 "PLOT3D" 2313019 T PLOT3D (NIL) -8 NIL NIL NIL) (-948 2308462 2308663 2308898 "PLOT1" 2309378 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-947 2283637 2288528 2293379 "PLEQN" 2303728 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-946 2282943 2283077 2283257 "PINTERP" 2283502 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-945 2282630 2282683 2282786 "PINTERPA" 2282890 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-944 2281726 2282394 2282481 "PI" 2282521 T PI (NIL) -8 NIL NIL 2282588) (-943 2279811 2280984 2281012 "PID" 2281194 T PID (NIL) -9 NIL 2281328 NIL) (-942 2279556 2279599 2279674 "PICOERCE" 2279768 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-941 2278864 2279015 2279191 "PGROEB" 2279412 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-940 2274307 2275265 2276170 "PGE" 2277979 T PGE (NIL) -7 NIL NIL NIL) (-939 2272388 2272677 2273043 "PGCD" 2274024 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-938 2271714 2271829 2271990 "PFRPAC" 2272272 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-937 2267964 2270262 2270615 "PFR" 2271393 NIL PFR (NIL T) -8 NIL NIL NIL) (-936 2266317 2266597 2266922 "PFOTOOLS" 2267711 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-935 2264832 2265089 2265440 "PFOQ" 2266074 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-934 2263315 2263545 2263901 "PFO" 2264616 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-933 2259240 2263204 2263273 "PF" 2263278 NIL PF (NIL NIL) -8 NIL NIL NIL) (-932 2256318 2257831 2257859 "PFECAT" 2258444 T PFECAT (NIL) -9 NIL 2258828 NIL) (-931 2255745 2255917 2256131 "PFECAT-" 2256136 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-930 2254318 2254600 2254901 "PFBRU" 2255494 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-929 2252148 2252536 2252968 "PFBR" 2253969 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-928 2247954 2249660 2250307 "PERM" 2251534 NIL PERM (NIL T) -8 NIL NIL NIL) (-927 2243008 2244161 2245031 "PERMGRP" 2247117 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-926 2240920 2242032 2242073 "PERMCAT" 2242473 NIL PERMCAT (NIL T) -9 NIL 2242771 NIL) (-925 2240567 2240614 2240738 "PERMAN" 2240873 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-924 2237808 2240232 2240354 "PENDTREE" 2240478 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-923 2236689 2236952 2236993 "PDSPC" 2237526 NIL PDSPC (NIL T) -9 NIL 2237771 NIL) (-922 2235744 2236010 2236372 "PDSPC-" 2236377 NIL PDSPC- (NIL T T) -8 NIL NIL NIL) (-921 2234458 2235394 2235435 "PDRING" 2235440 NIL PDRING (NIL T) -9 NIL 2235468 NIL) (-920 2233201 2233963 2234017 "PDMOD" 2234022 NIL PDMOD (NIL T T) -9 NIL 2234126 NIL) (-919 2230368 2231194 2231862 "PDEPROB" 2232553 T PDEPROB (NIL) -8 NIL NIL NIL) (-918 2227877 2228417 2228972 "PDEPACK" 2229833 T PDEPACK (NIL) -7 NIL NIL NIL) (-917 2226765 2226979 2227230 "PDECOMP" 2227676 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-916 2224282 2225173 2225201 "PDECAT" 2225988 T PDECAT (NIL) -9 NIL 2226701 NIL) (-915 2223899 2223966 2224020 "PDDOM" 2224185 NIL PDDOM (NIL T T) -9 NIL 2224265 NIL) (-914 2223712 2223748 2223855 "PDDOM-" 2223860 NIL PDDOM- (NIL T T T) -8 NIL NIL NIL) (-913 2223457 2223496 2223586 "PCOMP" 2223673 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-912 2221497 2222258 2222555 "PBWLB" 2223186 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-911 2213676 2215570 2216908 "PATTERN" 2220180 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-910 2213302 2213365 2213474 "PATTERN2" 2213613 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-909 2211011 2211447 2211904 "PATTERN1" 2212891 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-908 2208277 2208960 2209441 "PATRES" 2210576 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-907 2207835 2207908 2208040 "PATRES2" 2208204 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-906 2205688 2206123 2206530 "PATMATCH" 2207502 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-905 2205142 2205393 2205434 "PATMAB" 2205541 NIL PATMAB (NIL T) -9 NIL 2205624 NIL) (-904 2203588 2203996 2204254 "PATLRES" 2204947 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-903 2203126 2203257 2203298 "PATAB" 2203303 NIL PATAB (NIL T) -9 NIL 2203475 NIL) (-902 2201266 2201703 2202126 "PARTPERM" 2202723 T PARTPERM (NIL) -7 NIL NIL NIL) (-901 2200875 2200950 2201052 "PARSURF" 2201197 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-900 2200501 2200564 2200673 "PARSU2" 2200812 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-899 2200259 2200305 2200372 "PARSER" 2200454 T PARSER (NIL) -7 NIL NIL NIL) (-898 2199868 2199943 2200045 "PARSCURV" 2200190 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-897 2199494 2199557 2199666 "PARSC2" 2199805 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-896 2199121 2199191 2199288 "PARPCURV" 2199430 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-895 2198747 2198810 2198919 "PARPC2" 2199058 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-894 2197736 2198120 2198302 "PARAMAST" 2198585 T PARAMAST (NIL) -8 NIL NIL NIL) (-893 2197244 2197342 2197461 "PAN2EXPR" 2197637 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-892 2195937 2196365 2196593 "PALETTE" 2197036 T PALETTE (NIL) -8 NIL NIL NIL) (-891 2194282 2194942 2195302 "PAIR" 2195623 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-890 2187194 2193539 2193734 "PADICRC" 2194136 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-889 2179430 2186538 2186723 "PADICRAT" 2187041 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-888 2177439 2179367 2179412 "PADIC" 2179417 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-887 2174229 2176099 2176139 "PADICCT" 2176720 NIL PADICCT (NIL NIL) -9 NIL 2177002 NIL) (-886 2173174 2173386 2173654 "PADEPAC" 2174016 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-885 2172374 2172519 2172725 "PADE" 2173036 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-884 2170607 2171582 2171862 "OWP" 2172178 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-883 2170052 2170313 2170410 "OVERSET" 2170530 T OVERSET (NIL) -8 NIL NIL NIL) (-882 2168972 2169657 2169829 "OVAR" 2169920 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-881 2168212 2168357 2168518 "OUT" 2168831 T OUT (NIL) -7 NIL NIL NIL) (-880 2156448 2159321 2161521 "OUTFORM" 2166032 T OUTFORM (NIL) -8 NIL NIL NIL) (-879 2155730 2156045 2156172 "OUTBFILE" 2156341 T OUTBFILE (NIL) -8 NIL NIL NIL) (-878 2155007 2155202 2155230 "OUTBCON" 2155548 T OUTBCON (NIL) -9 NIL 2155714 NIL) (-877 2154590 2154720 2154877 "OUTBCON-" 2154882 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-876 2153886 2154319 2154408 "OSI" 2154521 T OSI (NIL) -8 NIL NIL NIL) (-875 2153305 2153727 2153755 "OSGROUP" 2153760 T OSGROUP (NIL) -9 NIL 2153782 NIL) (-874 2152016 2152277 2152562 "ORTHPOL" 2153052 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-873 2149267 2151851 2151972 "OREUP" 2151977 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-872 2146370 2148958 2149085 "ORESUP" 2149209 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-871 2143870 2144398 2144959 "OREPCTO" 2145859 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-870 2137248 2139743 2139784 "OREPCAT" 2142132 NIL OREPCAT (NIL T) -9 NIL 2143236 NIL) (-869 2134221 2135177 2136235 "OREPCAT-" 2136240 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-868 2133414 2133691 2133719 "ORDTYPE" 2134028 T ORDTYPE (NIL) -9 NIL 2134191 NIL) (-867 2132715 2132931 2133186 "ORDTYPE-" 2133191 NIL ORDTYPE- (NIL T) -8 NIL NIL NIL) (-866 2132071 2132454 2132612 "ORDSTRCT" 2132617 NIL ORDSTRCT (NIL T NIL) -8 NIL NIL NIL) (-865 2131569 2131939 2131967 "ORDSET" 2131972 T ORDSET (NIL) -9 NIL 2131994 NIL) (-864 2129927 2130898 2130926 "ORDRING" 2131128 T ORDRING (NIL) -9 NIL 2131253 NIL) (-863 2129548 2129666 2129810 "ORDRING-" 2129815 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-862 2128799 2129364 2129392 "ORDMON" 2129397 T ORDMON (NIL) -9 NIL 2129418 NIL) (-861 2127943 2128108 2128303 "ORDFUNS" 2128648 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-860 2127158 2127673 2127701 "ORDFIN" 2127766 T ORDFIN (NIL) -9 NIL 2127840 NIL) (-859 2123505 2125744 2126153 "ORDCOMP" 2126782 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-858 2122759 2122898 2123084 "ORDCOMP2" 2123365 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-857 2119280 2120250 2121064 "OPTPROB" 2121965 T OPTPROB (NIL) -8 NIL NIL NIL) (-856 2116022 2116721 2117425 "OPTPACK" 2118596 T OPTPACK (NIL) -7 NIL NIL NIL) (-855 2113635 2114461 2114489 "OPTCAT" 2115308 T OPTCAT (NIL) -9 NIL 2115958 NIL) (-854 2112953 2113312 2113417 "OPSIG" 2113550 T OPSIG (NIL) -8 NIL NIL NIL) (-853 2112715 2112760 2112826 "OPQUERY" 2112907 T OPQUERY (NIL) -7 NIL NIL NIL) (-852 2109624 2111026 2111530 "OP" 2112244 NIL OP (NIL T) -8 NIL NIL NIL) (-851 2108930 2109210 2109251 "OPERCAT" 2109463 NIL OPERCAT (NIL T) -9 NIL 2109560 NIL) (-850 2108673 2108741 2108858 "OPERCAT-" 2108863 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-849 2105286 2107470 2107839 "ONECOMP" 2108337 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-848 2104579 2104706 2104880 "ONECOMP2" 2105158 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-847 2103980 2104104 2104234 "OMSERVER" 2104469 T OMSERVER (NIL) -7 NIL NIL NIL) (-846 2100494 2103420 2103460 "OMSAGG" 2103521 NIL OMSAGG (NIL T) -9 NIL 2103585 NIL) (-845 2099069 2099380 2099662 "OMPKG" 2100232 T OMPKG (NIL) -7 NIL NIL NIL) (-844 2098475 2098602 2098630 "OM" 2098929 T OM (NIL) -9 NIL NIL NIL) (-843 2096822 2098024 2098193 "OMLO" 2098356 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-842 2095758 2095929 2096149 "OMEXPR" 2096648 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-841 2094995 2095304 2095440 "OMERR" 2095642 T OMERR (NIL) -8 NIL NIL NIL) (-840 2094080 2094416 2094576 "OMERRK" 2094855 T OMERRK (NIL) -8 NIL NIL NIL) (-839 2093471 2093757 2093865 "OMENC" 2093992 T OMENC (NIL) -8 NIL NIL NIL) (-838 2087108 2088551 2089722 "OMDEV" 2092320 T OMDEV (NIL) -8 NIL NIL NIL) (-837 2086141 2086348 2086542 "OMCONN" 2086934 T OMCONN (NIL) -8 NIL NIL NIL) (-836 2084419 2085611 2085639 "OINTDOM" 2085644 T OINTDOM (NIL) -9 NIL 2085665 NIL) (-835 2081493 2083107 2083444 "OFMONOID" 2084114 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-834 2080727 2081430 2081475 "ODVAR" 2081480 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-833 2077864 2080472 2080627 "ODR" 2080632 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-832 2069269 2077640 2077766 "ODPOL" 2077771 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-831 2062612 2069141 2069246 "ODP" 2069251 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-830 2061354 2061593 2061868 "ODETOOLS" 2062386 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-829 2058297 2058979 2059695 "ODESYS" 2060687 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-828 2053127 2054087 2055112 "ODERTRIC" 2057372 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-827 2052547 2052635 2052829 "ODERED" 2053039 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-826 2049399 2049983 2050660 "ODERAT" 2051970 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-825 2046316 2046823 2047420 "ODEPRRIC" 2048928 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-824 2044211 2044855 2045341 "ODEPROB" 2045850 T ODEPROB (NIL) -8 NIL NIL NIL) (-823 2040677 2041216 2041863 "ODEPRIM" 2043690 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-822 2039920 2040028 2040288 "ODEPAL" 2040569 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-821 2036022 2036873 2037737 "ODEPACK" 2039076 T ODEPACK (NIL) -7 NIL NIL NIL) (-820 2035065 2035190 2035412 "ODEINT" 2035911 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-819 2029130 2030591 2032038 "ODEIFTBL" 2033638 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-818 2024480 2025314 2026266 "ODEEF" 2028289 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-817 2023823 2023918 2024141 "ODECONST" 2024385 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-816 2021886 2022595 2022623 "ODECAT" 2023228 T ODECAT (NIL) -9 NIL 2023759 NIL) (-815 2018379 2021591 2021713 "OCT" 2021796 NIL OCT (NIL T) -8 NIL NIL NIL) (-814 2018011 2018060 2018187 "OCTCT2" 2018330 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-813 2012280 2015054 2015094 "OC" 2016191 NIL OC (NIL T) -9 NIL 2017049 NIL) (-812 2009315 2010255 2011245 "OC-" 2011339 NIL OC- (NIL T T) -8 NIL NIL NIL) (-811 2008538 2009108 2009136 "OCAMON" 2009141 T OCAMON (NIL) -9 NIL 2009162 NIL) (-810 2007958 2008383 2008411 "OASGP" 2008416 T OASGP (NIL) -9 NIL 2008436 NIL) (-809 2007084 2007681 2007709 "OAMONS" 2007749 T OAMONS (NIL) -9 NIL 2007792 NIL) (-808 2006375 2006904 2006932 "OAMON" 2006937 T OAMON (NIL) -9 NIL 2006957 NIL) (-807 2005486 2006124 2006152 "OAGROUP" 2006157 T OAGROUP (NIL) -9 NIL 2006177 NIL) (-806 2005170 2005226 2005314 "NUMTUBE" 2005430 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-805 1998689 2000261 2001797 "NUMQUAD" 2003654 T NUMQUAD (NIL) -7 NIL NIL NIL) (-804 1994409 1995433 1996458 "NUMODE" 1997684 T NUMODE (NIL) -7 NIL NIL NIL) (-803 1991690 1992630 1992658 "NUMINT" 1993581 T NUMINT (NIL) -9 NIL 1994345 NIL) (-802 1990602 1990835 1991053 "NUMFMT" 1991492 T NUMFMT (NIL) -7 NIL NIL NIL) (-801 1976785 1979906 1982438 "NUMERIC" 1988109 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-800 1970496 1976233 1976328 "NTSCAT" 1976333 NIL NTSCAT (NIL T T T T) -9 NIL 1976372 NIL) (-799 1969676 1969855 1970048 "NTPOLFN" 1970335 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-798 1956437 1966501 1967313 "NSUP" 1968897 NIL NSUP (NIL T) -8 NIL NIL NIL) (-797 1956063 1956126 1956235 "NSUP2" 1956374 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-796 1944899 1955837 1955970 "NSMP" 1955975 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-795 1943307 1943632 1943989 "NREP" 1944587 NIL NREP (NIL T) -7 NIL NIL NIL) (-794 1941886 1942150 1942508 "NPCOEF" 1943050 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-793 1940934 1941067 1941283 "NORMRETR" 1941767 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-792 1938945 1939265 1939674 "NORMPK" 1940642 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-791 1938624 1938658 1938782 "NORMMA" 1938911 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-790 1938388 1938581 1938610 "NONE" 1938615 T NONE (NIL) -8 NIL NIL NIL) (-789 1938171 1938206 1938275 "NONE1" 1938352 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-788 1937662 1937730 1937909 "NODE1" 1938103 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-787 1935763 1936794 1937049 "NNI" 1937396 T NNI (NIL) -8 NIL NIL 1937631) (-786 1934159 1934496 1934860 "NLINSOL" 1935431 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-785 1930340 1931395 1932294 "NIPROB" 1933280 T NIPROB (NIL) -8 NIL NIL NIL) (-784 1929079 1929331 1929633 "NFINTBAS" 1930102 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-783 1928163 1928729 1928770 "NETCLT" 1928942 NIL NETCLT (NIL T) -9 NIL 1929024 NIL) (-782 1926835 1927102 1927383 "NCODIV" 1927931 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-781 1926591 1926634 1926709 "NCNTFRAC" 1926792 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-780 1924747 1925135 1925555 "NCEP" 1926216 NIL NCEP (NIL T) -7 NIL NIL NIL) (-779 1923410 1924357 1924385 "NASRING" 1924495 T NASRING (NIL) -9 NIL 1924575 NIL) (-778 1923193 1923249 1923343 "NASRING-" 1923348 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-777 1922160 1922811 1922839 "NARNG" 1922956 T NARNG (NIL) -9 NIL 1923047 NIL) (-776 1921834 1921919 1922053 "NARNG-" 1922058 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-775 1920671 1920920 1921155 "NAGSP" 1921619 T NAGSP (NIL) -7 NIL NIL NIL) (-774 1911715 1913627 1915300 "NAGS" 1919018 T NAGS (NIL) -7 NIL NIL NIL) (-773 1910239 1910571 1910902 "NAGF07" 1911404 T NAGF07 (NIL) -7 NIL NIL NIL) (-772 1904711 1906068 1907375 "NAGF04" 1908952 T NAGF04 (NIL) -7 NIL NIL NIL) (-771 1897583 1899293 1900926 "NAGF02" 1903098 T NAGF02 (NIL) -7 NIL NIL NIL) (-770 1892747 1893907 1895024 "NAGF01" 1896486 T NAGF01 (NIL) -7 NIL NIL NIL) (-769 1886327 1887941 1889526 "NAGE04" 1891182 T NAGE04 (NIL) -7 NIL NIL NIL) (-768 1877388 1879617 1881747 "NAGE02" 1884217 T NAGE02 (NIL) -7 NIL NIL NIL) (-767 1873281 1874288 1875252 "NAGE01" 1876444 T NAGE01 (NIL) -7 NIL NIL NIL) (-766 1871058 1871610 1872168 "NAGD03" 1872743 T NAGD03 (NIL) -7 NIL NIL NIL) (-765 1862754 1864736 1866690 "NAGD02" 1869124 T NAGD02 (NIL) -7 NIL NIL NIL) (-764 1856493 1857990 1859430 "NAGD01" 1861334 T NAGD01 (NIL) -7 NIL NIL NIL) (-763 1852630 1853524 1854361 "NAGC06" 1855676 T NAGC06 (NIL) -7 NIL NIL NIL) (-762 1851077 1851427 1851783 "NAGC05" 1852294 T NAGC05 (NIL) -7 NIL NIL NIL) (-761 1850441 1850572 1850716 "NAGC02" 1850953 T NAGC02 (NIL) -7 NIL NIL NIL) (-760 1849242 1849969 1850009 "NAALG" 1850088 NIL NAALG (NIL T) -9 NIL 1850149 NIL) (-759 1849071 1849106 1849196 "NAALG-" 1849201 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-758 1842943 1844129 1845316 "MULTSQFR" 1847967 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-757 1842250 1842337 1842521 "MULTFACT" 1842855 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-756 1834397 1838835 1838888 "MTSCAT" 1839958 NIL MTSCAT (NIL T T) -9 NIL 1840473 NIL) (-755 1834103 1834163 1834255 "MTHING" 1834337 NIL MTHING (NIL T) -7 NIL NIL NIL) (-754 1833889 1833928 1833988 "MSYSCMD" 1834063 T MSYSCMD (NIL) -7 NIL NIL NIL) (-753 1829603 1832644 1832964 "MSET" 1833602 NIL MSET (NIL T) -8 NIL NIL NIL) (-752 1826348 1829164 1829205 "MSETAGG" 1829210 NIL MSETAGG (NIL T) -9 NIL 1829244 NIL) (-751 1821940 1823727 1824472 "MRING" 1825648 NIL MRING (NIL T T) -8 NIL NIL NIL) (-750 1821500 1821573 1821704 "MRF2" 1821867 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-749 1821112 1821153 1821297 "MRATFAC" 1821459 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-748 1818682 1819019 1819450 "MPRFF" 1820817 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-747 1812009 1818536 1818633 "MPOLY" 1818638 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-746 1811493 1811534 1811742 "MPCPF" 1811968 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-745 1811001 1811050 1811234 "MPC3" 1811444 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-744 1810184 1810277 1810498 "MPC2" 1810916 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-743 1808461 1808822 1809212 "MONOTOOL" 1809844 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-742 1807606 1807989 1808017 "MONOID" 1808236 T MONOID (NIL) -9 NIL 1808383 NIL) (-741 1807122 1807271 1807452 "MONOID-" 1807457 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-740 1796076 1802942 1803001 "MONOGEN" 1803675 NIL MONOGEN (NIL T T) -9 NIL 1804131 NIL) (-739 1793126 1794029 1795029 "MONOGEN-" 1795148 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-738 1791843 1792391 1792419 "MONADWU" 1792811 T MONADWU (NIL) -9 NIL 1793049 NIL) (-737 1791173 1791374 1791622 "MONADWU-" 1791627 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-736 1790458 1790762 1790790 "MONAD" 1790997 T MONAD (NIL) -9 NIL 1791109 NIL) (-735 1790125 1790221 1790353 "MONAD-" 1790358 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-734 1788264 1789038 1789317 "MOEBIUS" 1789878 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-733 1787432 1787932 1787972 "MODULE" 1787977 NIL MODULE (NIL T) -9 NIL 1788016 NIL) (-732 1786970 1787096 1787286 "MODULE-" 1787291 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-731 1784500 1785334 1785661 "MODRING" 1786794 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-730 1781222 1782605 1783126 "MODOP" 1784029 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-729 1779708 1780289 1780566 "MODMONOM" 1781085 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-728 1768448 1777999 1778413 "MODMON" 1779345 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-727 1765274 1767292 1767568 "MODFIELD" 1768323 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-726 1764185 1764555 1764745 "MMLFORM" 1765104 T MMLFORM (NIL) -8 NIL NIL NIL) (-725 1763705 1763754 1763933 "MMAP" 1764136 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-724 1761598 1762537 1762578 "MLO" 1763001 NIL MLO (NIL T) -9 NIL 1763243 NIL) (-723 1758946 1759480 1760082 "MLIFT" 1761079 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-722 1758325 1758421 1758575 "MKUCFUNC" 1758857 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-721 1757918 1757994 1758117 "MKRECORD" 1758248 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-720 1756941 1757127 1757355 "MKFUNC" 1757729 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-719 1756317 1756433 1756589 "MKFLCFN" 1756824 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-718 1755582 1755696 1755881 "MKBCFUNC" 1756210 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-717 1751565 1755136 1755272 "MINT" 1755466 T MINT (NIL) -8 NIL NIL NIL) (-716 1750347 1750620 1750897 "MHROWRED" 1751320 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-715 1745091 1748882 1749287 "MFLOAT" 1749962 T MFLOAT (NIL) -8 NIL NIL NIL) (-714 1744436 1744524 1744695 "MFINFACT" 1745003 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-713 1740715 1741599 1742483 "MESH" 1743572 T MESH (NIL) -7 NIL NIL NIL) (-712 1739069 1739417 1739770 "MDDFACT" 1740402 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-711 1735605 1738200 1738241 "MDAGG" 1738496 NIL MDAGG (NIL T) -9 NIL 1738639 NIL) (-710 1723307 1734898 1735105 "MCMPLX" 1735418 T MCMPLX (NIL) -8 NIL NIL NIL) (-709 1722426 1722590 1722791 "MCDEN" 1723156 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-708 1720274 1720586 1720966 "MCALCFN" 1722156 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-707 1719151 1719439 1719672 "MAYBE" 1720080 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-706 1716709 1717286 1717848 "MATSTOR" 1718622 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-705 1712131 1716081 1716329 "MATRIX" 1716494 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-704 1707831 1708604 1709340 "MATLIN" 1711488 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-703 1697177 1700888 1700965 "MATCAT" 1705997 NIL MATCAT (NIL T T T) -9 NIL 1707469 NIL) (-702 1693130 1694440 1695853 "MATCAT-" 1695858 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-701 1691706 1691877 1692210 "MATCAT2" 1692965 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-700 1689782 1690142 1690526 "MAPPKG3" 1691381 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-699 1688739 1688936 1689158 "MAPPKG2" 1689606 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-698 1687196 1687522 1687849 "MAPPKG1" 1688445 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-697 1686197 1686602 1686779 "MAPPAST" 1687039 T MAPPAST (NIL) -8 NIL NIL NIL) (-696 1685802 1685866 1685989 "MAPHACK3" 1686133 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-695 1685382 1685455 1685569 "MAPHACK2" 1685734 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-694 1684808 1684923 1685065 "MAPHACK1" 1685273 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-693 1682731 1683508 1683812 "MAGMA" 1684536 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-692 1682150 1682455 1682546 "MACROAST" 1682660 T MACROAST (NIL) -8 NIL NIL NIL) (-691 1678393 1680389 1680850 "M3D" 1681722 NIL M3D (NIL T) -8 NIL NIL NIL) (-690 1671873 1676704 1676745 "LZSTAGG" 1677527 NIL LZSTAGG (NIL T) -9 NIL 1677822 NIL) (-689 1667555 1669004 1670461 "LZSTAGG-" 1670466 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-688 1664468 1665446 1665933 "LWORD" 1667100 NIL LWORD (NIL T) -8 NIL NIL NIL) (-687 1663990 1664272 1664347 "LSTAST" 1664413 T LSTAST (NIL) -8 NIL NIL NIL) (-686 1655918 1663761 1663895 "LSQM" 1663900 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-685 1655136 1655281 1655509 "LSPP" 1655773 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-684 1652918 1653249 1653705 "LSMP" 1654825 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-683 1649655 1650371 1651101 "LSMP1" 1652220 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-682 1642791 1648745 1648786 "LSAGG" 1648848 NIL LSAGG (NIL T) -9 NIL 1648926 NIL) (-681 1639300 1640410 1641623 "LSAGG-" 1641628 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-680 1636595 1638444 1638693 "LPOLY" 1639095 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-679 1636171 1636262 1636385 "LPEFRAC" 1636504 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-678 1634348 1635265 1635518 "LO" 1636003 NIL LO (NIL T T T) -8 NIL NIL NIL) (-677 1633924 1634098 1634126 "LOGIC" 1634237 T LOGIC (NIL) -9 NIL 1634318 NIL) (-676 1633780 1633809 1633880 "LOGIC-" 1633885 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-675 1632955 1633113 1633306 "LODOOPS" 1633636 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-674 1630050 1632871 1632937 "LODO" 1632942 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-673 1628574 1628823 1629176 "LODOF" 1629797 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-672 1624450 1627209 1627250 "LODOCAT" 1627688 NIL LODOCAT (NIL T) -9 NIL 1627899 NIL) (-671 1624165 1624241 1624368 "LODOCAT-" 1624373 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-670 1621151 1624006 1624124 "LODO2" 1624129 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-669 1618258 1621088 1621133 "LODO1" 1621138 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-668 1617127 1617304 1617609 "LODEEF" 1618081 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-667 1612099 1615293 1615334 "LNAGG" 1616196 NIL LNAGG (NIL T) -9 NIL 1616631 NIL) (-666 1611192 1611460 1611802 "LNAGG-" 1611807 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-665 1607172 1608117 1608756 "LMOPS" 1610607 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-664 1606471 1606949 1606990 "LMODULE" 1606995 NIL LMODULE (NIL T) -9 NIL 1607021 NIL) (-663 1603426 1606116 1606239 "LMDICT" 1606381 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-662 1603002 1603216 1603257 "LLINSET" 1603318 NIL LLINSET (NIL T) -9 NIL 1603362 NIL) (-661 1602647 1602910 1602970 "LITERAL" 1602975 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-660 1595101 1601581 1601885 "LIST" 1602376 NIL LIST (NIL T) -8 NIL NIL NIL) (-659 1594620 1594700 1594839 "LIST3" 1595021 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-658 1593609 1593805 1594033 "LIST2" 1594438 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-657 1591707 1592055 1592454 "LIST2MAP" 1593256 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-656 1591290 1591526 1591567 "LINSET" 1591572 NIL LINSET (NIL T) -9 NIL 1591606 NIL) (-655 1590104 1590798 1590965 "LINFORM" 1591175 NIL LINFORM (NIL T NIL) -8 NIL NIL NIL) (-654 1588403 1589131 1589172 "LINEXP" 1589662 NIL LINEXP (NIL T) -9 NIL 1589935 NIL) (-653 1586979 1587883 1588064 "LINELT" 1588274 NIL LINELT (NIL T NIL) -8 NIL NIL NIL) (-652 1585536 1585816 1586127 "LINDEP" 1586731 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-651 1584672 1585268 1585378 "LINBASIS" 1585466 NIL LINBASIS (NIL NIL) -8 NIL NIL NIL) (-650 1581409 1582158 1582935 "LIMITRF" 1583927 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-649 1579694 1580008 1580417 "LIMITPS" 1581104 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-648 1573714 1579205 1579433 "LIE" 1579515 NIL LIE (NIL T T) -8 NIL NIL NIL) (-647 1572542 1573117 1573157 "LIECAT" 1573297 NIL LIECAT (NIL T) -9 NIL 1573448 NIL) (-646 1572377 1572410 1572498 "LIECAT-" 1572503 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-645 1564564 1571917 1572073 "LIB" 1572241 T LIB (NIL) -8 NIL NIL NIL) (-644 1560133 1561082 1562017 "LGROBP" 1563681 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-643 1558071 1558405 1558755 "LF" 1559854 NIL LF (NIL T T) -7 NIL NIL NIL) (-642 1556695 1557603 1557631 "LFCAT" 1557838 T LFCAT (NIL) -9 NIL 1557977 NIL) (-641 1553555 1554227 1554915 "LEXTRIPK" 1556059 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-640 1550143 1551125 1551628 "LEXP" 1553135 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-639 1549559 1549864 1549956 "LETAST" 1550071 T LETAST (NIL) -8 NIL NIL NIL) (-638 1547945 1548270 1548671 "LEADCDET" 1549241 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-637 1547123 1547209 1547438 "LAZM3PK" 1547866 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-636 1541634 1545200 1545738 "LAUPOL" 1546635 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-635 1541207 1541257 1541418 "LAPLACE" 1541584 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-634 1538944 1540308 1540559 "LA" 1541040 NIL LA (NIL T T T) -8 NIL NIL NIL) (-633 1537792 1538508 1538549 "LALG" 1538611 NIL LALG (NIL T) -9 NIL 1538670 NIL) (-632 1537488 1537565 1537701 "LALG-" 1537706 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-631 1537317 1537347 1537388 "KVTFROM" 1537450 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-630 1536156 1536684 1536869 "KTVLOGIC" 1537152 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-629 1535985 1536015 1536056 "KRCFROM" 1536118 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-628 1534877 1535076 1535375 "KOVACIC" 1535785 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-627 1534706 1534736 1534777 "KONVERT" 1534839 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-626 1534535 1534565 1534606 "KOERCE" 1534668 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-625 1532222 1533128 1533505 "KERNEL" 1534191 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-624 1531706 1531799 1531931 "KERNEL2" 1532136 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-623 1525177 1530183 1530237 "KDAGG" 1530614 NIL KDAGG (NIL T T) -9 NIL 1530820 NIL) (-622 1524688 1524830 1525035 "KDAGG-" 1525040 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-621 1517388 1524349 1524504 "KAFILE" 1524566 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-620 1511408 1516899 1517127 "JORDAN" 1517209 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-619 1510721 1511057 1511178 "JOINAST" 1511307 T JOINAST (NIL) -8 NIL NIL NIL) (-618 1510549 1510626 1510681 "JAVACODE" 1510686 T JAVACODE (NIL) -8 NIL NIL NIL) (-617 1506584 1508726 1508780 "IXAGG" 1509709 NIL IXAGG (NIL T T) -9 NIL 1510168 NIL) (-616 1505437 1505809 1506228 "IXAGG-" 1506233 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-615 1500526 1505359 1505418 "IVECTOR" 1505423 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-614 1499250 1499529 1499795 "ITUPLE" 1500293 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-613 1497722 1497929 1498224 "ITRIGMNP" 1499072 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-612 1496449 1496671 1496954 "ITFUN3" 1497498 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-611 1496075 1496138 1496247 "ITFUN2" 1496386 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-610 1495180 1495555 1495729 "ITFORM" 1495921 T ITFORM (NIL) -8 NIL NIL NIL) (-609 1492949 1494200 1494478 "ITAYLOR" 1494935 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-608 1481346 1487086 1488249 "ISUPS" 1491819 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-607 1480438 1480590 1480826 "ISUMP" 1481193 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-606 1475288 1480383 1480424 "ISTRING" 1480429 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-605 1474704 1475009 1475101 "ISAST" 1475216 T ISAST (NIL) -8 NIL NIL NIL) (-604 1473901 1473995 1474211 "IRURPK" 1474618 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-603 1472813 1473038 1473278 "IRSN" 1473681 T IRSN (NIL) -7 NIL NIL NIL) (-602 1470858 1471239 1471668 "IRRF2F" 1472451 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-601 1470599 1470643 1470719 "IRREDFFX" 1470814 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-600 1469172 1469473 1469772 "IROOT" 1470332 NIL IROOT (NIL T) -7 NIL NIL NIL) (-599 1465612 1466856 1467548 "IR" 1468512 NIL IR (NIL T) -8 NIL NIL NIL) (-598 1464751 1465105 1465256 "IRFORM" 1465481 T IRFORM (NIL) -8 NIL NIL NIL) (-597 1462340 1462859 1463425 "IR2" 1464229 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-596 1461422 1461553 1461767 "IR2F" 1462223 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-595 1461207 1461247 1461307 "IPRNTPK" 1461382 T IPRNTPK (NIL) -7 NIL NIL NIL) (-594 1457160 1461096 1461165 "IPF" 1461170 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-593 1455181 1457085 1457142 "IPADIC" 1457147 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-592 1454439 1454741 1454871 "IP4ADDR" 1455071 T IP4ADDR (NIL) -8 NIL NIL NIL) (-591 1453777 1454068 1454200 "IOMODE" 1454327 T IOMODE (NIL) -8 NIL NIL NIL) (-590 1452748 1453374 1453501 "IOBFILE" 1453670 T IOBFILE (NIL) -8 NIL NIL NIL) (-589 1452158 1452652 1452680 "IOBCON" 1452685 T IOBCON (NIL) -9 NIL 1452706 NIL) (-588 1451663 1451727 1451910 "INVLAPLA" 1452094 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-587 1441233 1443665 1446051 "INTTR" 1449327 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-586 1437526 1438310 1439175 "INTTOOLS" 1440418 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-585 1437106 1437203 1437320 "INTSLPE" 1437429 T INTSLPE (NIL) -7 NIL NIL NIL) (-584 1434573 1437029 1437088 "INTRVL" 1437093 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-583 1432151 1432687 1433262 "INTRF" 1434058 NIL INTRF (NIL T) -7 NIL NIL NIL) (-582 1431544 1431659 1431801 "INTRET" 1432049 NIL INTRET (NIL T) -7 NIL NIL NIL) (-581 1429517 1429930 1430400 "INTRAT" 1431152 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-580 1426762 1427363 1427982 "INTPM" 1429002 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-579 1423479 1424106 1424844 "INTPAF" 1426148 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-578 1418580 1419620 1420671 "INTPACK" 1422448 T INTPACK (NIL) -7 NIL NIL NIL) (-577 1414768 1418377 1418486 "INT" 1418491 T INT (NIL) -8 NIL NIL NIL) (-576 1414014 1414172 1414380 "INTHERTR" 1414610 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-575 1413447 1413533 1413721 "INTHERAL" 1413928 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-574 1411215 1411736 1412193 "INTHEORY" 1413010 T INTHEORY (NIL) -7 NIL NIL NIL) (-573 1402547 1404242 1406014 "INTG0" 1409567 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-572 1383072 1387910 1392720 "INTFTBL" 1397757 T INTFTBL (NIL) -8 NIL NIL NIL) (-571 1382297 1382459 1382632 "INTFACT" 1382931 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-570 1379694 1380170 1380727 "INTEF" 1381851 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-569 1377891 1378786 1378814 "INTDOM" 1379115 T INTDOM (NIL) -9 NIL 1379322 NIL) (-568 1377230 1377434 1377676 "INTDOM-" 1377681 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-567 1373104 1375519 1375573 "INTCAT" 1376372 NIL INTCAT (NIL T) -9 NIL 1376693 NIL) (-566 1372558 1372679 1372807 "INTBIT" 1372996 T INTBIT (NIL) -7 NIL NIL NIL) (-565 1371239 1371411 1371718 "INTALG" 1372403 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-564 1370716 1370812 1370969 "INTAF" 1371143 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-563 1363683 1370526 1370666 "INTABL" 1370671 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-562 1362920 1363482 1363547 "INT8" 1363581 T INT8 (NIL) -8 NIL NIL 1363626) (-561 1362156 1362718 1362783 "INT64" 1362817 T INT64 (NIL) -8 NIL NIL 1362862) (-560 1361392 1361954 1362019 "INT32" 1362053 T INT32 (NIL) -8 NIL NIL 1362098) (-559 1360628 1361190 1361255 "INT16" 1361289 T INT16 (NIL) -8 NIL NIL 1361334) (-558 1354729 1358176 1358204 "INS" 1359138 T INS (NIL) -9 NIL 1359803 NIL) (-557 1351783 1352740 1353714 "INS-" 1353787 NIL INS- (NIL T) -8 NIL NIL NIL) (-556 1350540 1350785 1351083 "INPSIGN" 1351536 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-555 1349634 1349775 1349972 "INPRODPF" 1350420 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-554 1348504 1348645 1348882 "INPRODFF" 1349514 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-553 1347492 1347656 1347916 "INNMFACT" 1348340 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-552 1346671 1346786 1346974 "INMODGCD" 1347391 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-551 1345155 1345424 1345748 "INFSP" 1346416 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-550 1344315 1344456 1344639 "INFPROD0" 1345035 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-549 1340882 1342380 1342895 "INFORM" 1343808 T INFORM (NIL) -8 NIL NIL NIL) (-548 1340480 1340552 1340650 "INFORM1" 1340817 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-547 1339985 1340092 1340206 "INFINITY" 1340386 T INFINITY (NIL) -7 NIL NIL NIL) (-546 1339059 1339705 1339806 "INETCLTS" 1339904 T INETCLTS (NIL) -8 NIL NIL NIL) (-545 1337657 1337925 1338246 "INEP" 1338807 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-544 1336718 1337554 1337619 "INDE" 1337624 NIL INDE (NIL T) -8 NIL NIL NIL) (-543 1336270 1336350 1336467 "INCRMAPS" 1336645 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-542 1334992 1335539 1335745 "INBFILE" 1336084 T INBFILE (NIL) -8 NIL NIL NIL) (-541 1330171 1331228 1332172 "INBFF" 1334080 NIL INBFF (NIL T) -7 NIL NIL NIL) (-540 1329025 1329348 1329376 "INBCON" 1329889 T INBCON (NIL) -9 NIL 1330155 NIL) (-539 1328235 1328500 1328776 "INBCON-" 1328781 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-538 1327654 1327959 1328050 "INAST" 1328164 T INAST (NIL) -8 NIL NIL NIL) (-537 1327021 1327333 1327439 "IMPTAST" 1327568 T IMPTAST (NIL) -8 NIL NIL NIL) (-536 1322942 1326865 1326969 "IMATRIX" 1326974 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-535 1321634 1321773 1322089 "IMATQF" 1322798 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-534 1319814 1320081 1320418 "IMATLIN" 1321390 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-533 1313729 1319738 1319796 "ILIST" 1319801 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-532 1311395 1313589 1313702 "IIARRAY2" 1313707 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-531 1306195 1311306 1311370 "IFF" 1311375 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-530 1305476 1305812 1305928 "IFAST" 1306099 T IFAST (NIL) -8 NIL NIL NIL) (-529 1299988 1304768 1304956 "IFARRAY" 1305333 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-528 1299026 1299892 1299965 "IFAMON" 1299970 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-527 1298598 1298675 1298729 "IEVALAB" 1298936 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-526 1298261 1298341 1298501 "IEVALAB-" 1298506 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-525 1297642 1298176 1298238 "IDPO" 1298243 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-524 1296706 1297531 1297606 "IDPOAMS" 1297611 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-523 1295839 1296595 1296670 "IDPOAM" 1296675 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-522 1294319 1294846 1294898 "IDPC" 1295410 NIL IDPC (NIL T T) -9 NIL 1295691 NIL) (-521 1293651 1294211 1294284 "IDPAM" 1294289 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-520 1292866 1293543 1293616 "IDPAG" 1293621 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-519 1292410 1292672 1292762 "IDENT" 1292796 T IDENT (NIL) -8 NIL NIL NIL) (-518 1288629 1289513 1290408 "IDECOMP" 1291567 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-517 1281264 1282552 1283599 "IDEAL" 1287665 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-516 1280406 1280536 1280736 "ICDEN" 1281148 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-515 1279381 1279886 1280033 "ICARD" 1280279 T ICARD (NIL) -8 NIL NIL NIL) (-514 1277411 1277754 1278159 "IBPTOOLS" 1279058 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-513 1272526 1277031 1277144 "IBITS" 1277330 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-512 1269201 1269825 1270520 "IBATOOL" 1271943 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-511 1266962 1267442 1267975 "IBACHIN" 1268736 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-510 1264552 1266808 1266911 "IARRAY2" 1266916 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-509 1260265 1264478 1264535 "IARRAY1" 1264540 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-508 1253275 1258677 1259158 "IAN" 1259804 T IAN (NIL) -8 NIL NIL NIL) (-507 1252780 1252843 1253016 "IALGFACT" 1253212 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-506 1252272 1252421 1252449 "HYPCAT" 1252656 T HYPCAT (NIL) -9 NIL NIL NIL) (-505 1251774 1251927 1252113 "HYPCAT-" 1252118 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-504 1251321 1251569 1251652 "HOSTNAME" 1251711 T HOSTNAME (NIL) -8 NIL NIL NIL) (-503 1251154 1251203 1251244 "HOMOTOP" 1251249 NIL HOMOTOP (NIL T) -9 NIL 1251282 NIL) (-502 1247587 1249086 1249127 "HOAGG" 1250108 NIL HOAGG (NIL T) -9 NIL 1250837 NIL) (-501 1246103 1246580 1247106 "HOAGG-" 1247111 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-500 1239139 1245696 1245846 "HEXADEC" 1245973 T HEXADEC (NIL) -8 NIL NIL NIL) (-499 1237851 1238109 1238372 "HEUGCD" 1238916 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-498 1236783 1237688 1237818 "HELLFDIV" 1237823 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-497 1234793 1236560 1236648 "HEAP" 1236727 NIL HEAP (NIL T) -8 NIL NIL NIL) (-496 1233990 1234345 1234479 "HEADAST" 1234679 T HEADAST (NIL) -8 NIL NIL NIL) (-495 1227377 1233905 1233967 "HDP" 1233972 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-494 1220389 1227012 1227164 "HDMP" 1227278 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-493 1219695 1219853 1220017 "HB" 1220245 T HB (NIL) -7 NIL NIL NIL) (-492 1212705 1219541 1219645 "HASHTBL" 1219650 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-491 1212121 1212426 1212518 "HASAST" 1212633 T HASAST (NIL) -8 NIL NIL NIL) (-490 1209527 1211743 1211925 "HACKPI" 1211959 T HACKPI (NIL) -8 NIL NIL NIL) (-489 1204699 1209380 1209493 "GTSET" 1209498 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-488 1197738 1204577 1204675 "GSTBL" 1204680 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-487 1189487 1196903 1197159 "GSERIES" 1197538 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-486 1188518 1189031 1189059 "GROUP" 1189262 T GROUP (NIL) -9 NIL 1189396 NIL) (-485 1187842 1188043 1188294 "GROUP-" 1188299 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-484 1186191 1186530 1186917 "GROEBSOL" 1187519 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-483 1185019 1185379 1185430 "GRMOD" 1185959 NIL GRMOD (NIL T T) -9 NIL 1186127 NIL) (-482 1184775 1184823 1184951 "GRMOD-" 1184956 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-481 1179915 1181129 1182129 "GRIMAGE" 1183795 T GRIMAGE (NIL) -8 NIL NIL NIL) (-480 1178309 1178642 1178966 "GRDEF" 1179611 T GRDEF (NIL) -7 NIL NIL NIL) (-479 1177741 1177869 1178010 "GRAY" 1178188 T GRAY (NIL) -7 NIL NIL NIL) (-478 1176818 1177320 1177371 "GRALG" 1177524 NIL GRALG (NIL T T) -9 NIL 1177617 NIL) (-477 1176455 1176552 1176715 "GRALG-" 1176720 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-476 1172936 1176038 1176217 "GPOLSET" 1176361 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-475 1172284 1172347 1172605 "GOSPER" 1172873 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-474 1167854 1168722 1169248 "GMODPOL" 1171983 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-473 1166841 1167043 1167281 "GHENSEL" 1167666 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-472 1160913 1161840 1162860 "GENUPS" 1165925 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-471 1160604 1160661 1160750 "GENUFACT" 1160856 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-470 1160004 1160093 1160258 "GENPGCD" 1160522 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-469 1159472 1159513 1159726 "GENMFACT" 1159963 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-468 1158008 1158295 1158602 "GENEEZ" 1159215 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-467 1151180 1157619 1157781 "GDMP" 1157931 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-466 1139919 1144951 1146057 "GCNAALG" 1150163 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-465 1138046 1139094 1139122 "GCDDOM" 1139377 T GCDDOM (NIL) -9 NIL 1139534 NIL) (-464 1137486 1137643 1137858 "GCDDOM-" 1137863 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-463 1136136 1136343 1136647 "GB" 1137265 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-462 1124608 1127082 1129474 "GBINTERN" 1133827 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-461 1122409 1122737 1123158 "GBF" 1124283 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-460 1121166 1121355 1121622 "GBEUCLID" 1122225 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-459 1120497 1120640 1120789 "GAUSSFAC" 1121037 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-458 1118818 1119166 1119480 "GALUTIL" 1120216 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-457 1117078 1117400 1117724 "GALPOLYU" 1118545 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-456 1114377 1114733 1115140 "GALFACTU" 1116775 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-455 1105991 1107682 1109290 "GALFACT" 1112809 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-454 1103277 1104037 1104065 "FVFUN" 1105221 T FVFUN (NIL) -9 NIL 1105941 NIL) (-453 1102507 1102725 1102753 "FVC" 1103044 T FVC (NIL) -9 NIL 1103227 NIL) (-452 1102108 1102332 1102400 "FUNDESC" 1102459 T FUNDESC (NIL) -8 NIL NIL NIL) (-451 1101681 1101905 1101986 "FUNCTION" 1102060 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-450 1099311 1100003 1100469 "FT" 1101235 T FT (NIL) -8 NIL NIL NIL) (-449 1097988 1098612 1098815 "FTEM" 1099128 T FTEM (NIL) -8 NIL NIL NIL) (-448 1096257 1096568 1096965 "FSUPFACT" 1097679 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-447 1094576 1094943 1095275 "FST" 1095945 T FST (NIL) -8 NIL NIL NIL) (-446 1093757 1093881 1094069 "FSRED" 1094458 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-445 1092446 1092712 1093059 "FSPRMELT" 1093472 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-444 1089656 1090190 1090676 "FSPECF" 1092009 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-443 1069883 1079430 1079471 "FS" 1083355 NIL FS (NIL T) -9 NIL 1085644 NIL) (-442 1057944 1061519 1065576 "FS-" 1065876 NIL FS- (NIL T T) -8 NIL NIL NIL) (-441 1057466 1057526 1057696 "FSINT" 1057885 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-440 1055602 1056459 1056762 "FSERIES" 1057245 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-439 1054626 1054760 1054984 "FSCINT" 1055482 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-438 1050490 1053570 1053611 "FSAGG" 1053981 NIL FSAGG (NIL T) -9 NIL 1054240 NIL) (-437 1048090 1048853 1049649 "FSAGG-" 1049744 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-436 1047114 1047275 1047502 "FSAGG2" 1047943 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-435 1044774 1045072 1045620 "FS2UPS" 1046832 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-434 1044402 1044451 1044580 "FS2" 1044725 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-433 1043268 1043451 1043753 "FS2EXPXP" 1044227 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-432 1042682 1042809 1042961 "FRUTIL" 1043148 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-431 1033599 1038177 1039535 "FR" 1041356 NIL FR (NIL T) -8 NIL NIL NIL) (-430 1028117 1031288 1031328 "FRNAALG" 1032648 NIL FRNAALG (NIL T) -9 NIL 1033246 NIL) (-429 1023598 1024866 1026141 "FRNAALG-" 1026891 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-428 1023230 1023279 1023406 "FRNAAF2" 1023549 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-427 1021517 1022079 1022375 "FRMOD" 1023042 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-426 1019122 1019892 1020210 "FRIDEAL" 1021308 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-425 1018307 1018400 1018691 "FRIDEAL2" 1019029 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-424 1017398 1017854 1017895 "FRETRCT" 1017900 NIL FRETRCT (NIL T) -9 NIL 1018076 NIL) (-423 1016456 1016741 1017092 "FRETRCT-" 1017097 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-422 1013270 1014740 1014799 "FRAMALG" 1015681 NIL FRAMALG (NIL T T) -9 NIL 1015973 NIL) (-421 1011308 1011859 1012489 "FRAMALG-" 1012712 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-420 1004279 1010781 1011058 "FRAC" 1011063 NIL FRAC (NIL T) -8 NIL NIL NIL) (-419 1003909 1003972 1004079 "FRAC2" 1004216 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-418 1003539 1003602 1003709 "FR2" 1003846 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-417 997456 1000918 1000946 "FPS" 1002065 T FPS (NIL) -9 NIL 1002622 NIL) (-416 996881 997014 997178 "FPS-" 997324 NIL FPS- (NIL T) -8 NIL NIL NIL) (-415 993833 995838 995866 "FPC" 996091 T FPC (NIL) -9 NIL 996233 NIL) (-414 993614 993666 993763 "FPC-" 993768 NIL FPC- (NIL T) -8 NIL NIL NIL) (-413 992372 993102 993143 "FPATMAB" 993148 NIL FPATMAB (NIL T) -9 NIL 993300 NIL) (-412 990515 991114 991461 "FPARFRAC" 992088 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-411 985807 986407 987089 "FORTRAN" 989947 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-410 983493 984023 984562 "FORT" 985288 T FORT (NIL) -7 NIL NIL NIL) (-409 981067 981731 981759 "FORTFN" 982819 T FORTFN (NIL) -9 NIL 983443 NIL) (-408 980819 980881 980909 "FORTCAT" 980968 T FORTCAT (NIL) -9 NIL 981030 NIL) (-407 978823 979435 979825 "FORMULA" 980449 T FORMULA (NIL) -8 NIL NIL NIL) (-406 978605 978641 978710 "FORMULA1" 978787 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-405 978122 978180 978353 "FORDER" 978547 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-404 977182 977382 977575 "FOP" 977949 T FOP (NIL) -7 NIL NIL NIL) (-403 975595 976462 976636 "FNLA" 977064 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-402 974214 974725 974753 "FNCAT" 975213 T FNCAT (NIL) -9 NIL 975473 NIL) (-401 973657 974173 974201 "FNAME" 974206 T FNAME (NIL) -8 NIL NIL NIL) (-400 971983 973156 973184 "FMTC" 973189 T FMTC (NIL) -9 NIL 973225 NIL) (-399 970531 971919 971965 "FMONOID" 971970 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-398 967120 968486 968527 "FMONCAT" 969744 NIL FMONCAT (NIL T) -9 NIL 970349 NIL) (-397 966138 966862 967011 "FM" 967016 NIL FM (NIL T T) -8 NIL NIL NIL) (-396 963460 964208 964236 "FMFUN" 965380 T FMFUN (NIL) -9 NIL 966088 NIL) (-395 962693 962910 962938 "FMC" 963228 T FMC (NIL) -9 NIL 963410 NIL) (-394 959566 960618 960672 "FMCAT" 961867 NIL FMCAT (NIL T T) -9 NIL 962362 NIL) (-393 958234 959332 959432 "FM1" 959511 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-392 955972 956424 956918 "FLOATRP" 957785 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-391 948628 953701 954322 "FLOAT" 955371 T FLOAT (NIL) -8 NIL NIL NIL) (-390 946030 946566 947144 "FLOATCP" 948095 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-389 944548 945622 945663 "FLINEXP" 945668 NIL FLINEXP (NIL T) -9 NIL 945761 NIL) (-388 943678 943937 944265 "FLINEXP-" 944270 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-387 942736 942898 943122 "FLASORT" 943530 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-386 939654 940706 940758 "FLALG" 941985 NIL FLALG (NIL T T) -9 NIL 942452 NIL) (-385 932918 937063 937104 "FLAGG" 938366 NIL FLAGG (NIL T) -9 NIL 939018 NIL) (-384 931572 931983 932473 "FLAGG-" 932478 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-383 930596 930757 930984 "FLAGG2" 931425 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-382 927227 928441 928500 "FINRALG" 929628 NIL FINRALG (NIL T T) -9 NIL 930136 NIL) (-381 926351 926616 926955 "FINRALG-" 926960 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-380 925657 925956 925984 "FINITE" 926180 T FINITE (NIL) -9 NIL 926287 NIL) (-379 917608 920187 920227 "FINAALG" 923894 NIL FINAALG (NIL T) -9 NIL 925347 NIL) (-378 912724 913990 915134 "FINAALG-" 916513 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-377 912002 912479 912582 "FILE" 912654 NIL FILE (NIL T) -8 NIL NIL NIL) (-376 910562 910984 911038 "FILECAT" 911722 NIL FILECAT (NIL T T) -9 NIL 911938 NIL) (-375 907958 909792 909820 "FIELD" 909860 T FIELD (NIL) -9 NIL 909940 NIL) (-374 906500 906963 907474 "FIELD-" 907479 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-373 904182 905135 905482 "FGROUP" 906186 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-372 903254 903436 903656 "FGLMICPK" 904014 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-371 898488 903179 903236 "FFX" 903241 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-370 898083 898150 898285 "FFSLPE" 898421 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-369 893959 894855 895651 "FFPOLY" 897319 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-368 893457 893499 893708 "FFPOLY2" 893917 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-367 888705 893376 893439 "FFP" 893444 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-366 883505 888616 888680 "FF" 888685 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-365 878015 882848 883038 "FFNBX" 883359 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-364 872327 877150 877408 "FFNBP" 877869 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-363 866344 871611 871822 "FFNB" 872160 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-362 865164 865374 865689 "FFINTBAS" 866141 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-361 860740 863411 863439 "FFIELDC" 864059 T FFIELDC (NIL) -9 NIL 864435 NIL) (-360 859318 859773 860270 "FFIELDC-" 860275 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-359 858875 858933 859057 "FFHOM" 859260 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-358 856534 857057 857574 "FFF" 858390 NIL FFF (NIL T) -7 NIL NIL NIL) (-357 851548 856276 856377 "FFCGX" 856477 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-356 846566 851280 851387 "FFCGP" 851491 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-355 841145 846293 846401 "FFCG" 846502 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-354 819808 830877 830963 "FFCAT" 836128 NIL FFCAT (NIL T T T) -9 NIL 837579 NIL) (-353 814819 816053 817367 "FFCAT-" 818597 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-352 814224 814273 814508 "FFCAT2" 814770 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-351 802877 807196 808416 "FEXPR" 813076 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-350 801805 802274 802315 "FEVALAB" 802399 NIL FEVALAB (NIL T) -9 NIL 802660 NIL) (-349 800922 801174 801512 "FEVALAB-" 801517 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-348 799332 800305 800508 "FDIV" 800821 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-347 796194 797079 797194 "FDIVCAT" 798762 NIL FDIVCAT (NIL T T T T) -9 NIL 799199 NIL) (-346 795950 795983 796153 "FDIVCAT-" 796158 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-345 795164 795257 795534 "FDIV2" 795857 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-344 794072 794459 794661 "FCTRDATA" 794982 T FCTRDATA (NIL) -8 NIL NIL NIL) (-343 792728 793017 793306 "FCPAK1" 793803 T FCPAK1 (NIL) -7 NIL NIL NIL) (-342 791731 792228 792369 "FCOMP" 792619 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-341 775046 778881 782419 "FC" 788213 T FC (NIL) -8 NIL NIL NIL) (-340 766741 771367 771407 "FAXF" 773209 NIL FAXF (NIL T) -9 NIL 773901 NIL) (-339 763862 764675 765500 "FAXF-" 765965 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-338 758431 763238 763414 "FARRAY" 763719 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-337 752995 755378 755431 "FAMR" 756454 NIL FAMR (NIL T T) -9 NIL 756914 NIL) (-336 751819 752187 752622 "FAMR-" 752627 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-335 750846 751741 751794 "FAMONOID" 751799 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-334 748476 749328 749381 "FAMONC" 750322 NIL FAMONC (NIL T T) -9 NIL 750708 NIL) (-333 746950 748230 748367 "FAGROUP" 748372 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-332 744703 745064 745467 "FACUTIL" 746631 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-331 743790 743987 744209 "FACTFUNC" 744513 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-330 735548 743093 743292 "EXPUPXS" 743646 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-329 733001 733571 734157 "EXPRTUBE" 734982 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-328 729212 729864 730594 "EXPRODE" 732340 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-327 713506 727861 728290 "EXPR" 728816 NIL EXPR (NIL T) -8 NIL NIL NIL) (-326 707940 708647 709453 "EXPR2UPS" 712804 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-325 707566 707629 707738 "EXPR2" 707877 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-324 697883 706717 707008 "EXPEXPAN" 707402 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-323 697647 697840 697869 "EXIT" 697874 T EXIT (NIL) -8 NIL NIL NIL) (-322 697067 697371 697462 "EXITAST" 697576 T EXITAST (NIL) -8 NIL NIL NIL) (-321 696688 696756 696869 "EVALCYC" 696999 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-320 696205 696347 696388 "EVALAB" 696558 NIL EVALAB (NIL T) -9 NIL 696662 NIL) (-319 695662 695808 696029 "EVALAB-" 696034 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-318 692770 694318 694346 "EUCDOM" 694901 T EUCDOM (NIL) -9 NIL 695251 NIL) (-317 691109 691617 692207 "EUCDOM-" 692212 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-316 678426 681407 684157 "ESTOOLS" 688379 T ESTOOLS (NIL) -7 NIL NIL NIL) (-315 678052 678115 678224 "ESTOOLS2" 678363 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-314 677797 677845 677925 "ESTOOLS1" 678004 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-313 671498 673428 673456 "ES" 676224 T ES (NIL) -9 NIL 677634 NIL) (-312 666175 667732 669549 "ES-" 669713 NIL ES- (NIL T) -8 NIL NIL NIL) (-311 662483 663310 664090 "ESCONT" 665415 T ESCONT (NIL) -7 NIL NIL NIL) (-310 662222 662260 662342 "ESCONT1" 662445 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-309 661891 661947 662047 "ES2" 662166 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-308 661515 661579 661688 "ES1" 661827 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-307 660707 660860 661036 "ERROR" 661359 T ERROR (NIL) -7 NIL NIL NIL) (-306 653723 660566 660657 "EQTBL" 660662 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-305 645982 649037 650486 "EQ" 652307 NIL -2068 (NIL T) -8 NIL NIL NIL) (-304 645608 645671 645780 "EQ2" 645919 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-303 640851 641946 643039 "EP" 644547 NIL EP (NIL T) -7 NIL NIL NIL) (-302 639391 639742 640048 "ENV" 640565 T ENV (NIL) -8 NIL NIL NIL) (-301 638351 639025 639053 "ENTIRER" 639058 T ENTIRER (NIL) -9 NIL 639104 NIL) (-300 634763 636533 636894 "EMR" 638159 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-299 633867 634078 634132 "ELTAGG" 634512 NIL ELTAGG (NIL T T) -9 NIL 634723 NIL) (-298 633574 633648 633789 "ELTAGG-" 633794 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-297 633332 633367 633421 "ELTAB" 633505 NIL ELTAB (NIL T T) -9 NIL 633557 NIL) (-296 632434 632604 632803 "ELFUTS" 633183 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-295 632158 632232 632260 "ELEMFUN" 632365 T ELEMFUN (NIL) -9 NIL NIL NIL) (-294 632022 632049 632117 "ELEMFUN-" 632122 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-293 626439 630064 630105 "ELAGG" 631045 NIL ELAGG (NIL T) -9 NIL 631508 NIL) (-292 624616 625158 625821 "ELAGG-" 625826 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-291 623898 624065 624221 "ELABOR" 624480 T ELABOR (NIL) -8 NIL NIL NIL) (-290 622505 622838 623132 "ELABEXPR" 623624 T ELABEXPR (NIL) -8 NIL NIL NIL) (-289 615017 617142 617971 "EFUPXS" 621780 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-288 608143 610266 611077 "EFULS" 614292 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-287 605580 605986 606458 "EFSTRUC" 607775 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-286 595017 596937 598485 "EF" 604095 NIL EF (NIL T T) -7 NIL NIL NIL) (-285 593995 594502 594651 "EAB" 594888 T EAB (NIL) -8 NIL NIL NIL) (-284 593117 593954 593982 "E04UCFA" 593987 T E04UCFA (NIL) -8 NIL NIL NIL) (-283 592239 593076 593104 "E04NAFA" 593109 T E04NAFA (NIL) -8 NIL NIL NIL) (-282 591361 592198 592226 "E04MBFA" 592231 T E04MBFA (NIL) -8 NIL NIL NIL) (-281 590483 591320 591348 "E04JAFA" 591353 T E04JAFA (NIL) -8 NIL NIL NIL) (-280 589607 590442 590470 "E04GCFA" 590475 T E04GCFA (NIL) -8 NIL NIL NIL) (-279 588731 589566 589594 "E04FDFA" 589599 T E04FDFA (NIL) -8 NIL NIL NIL) (-278 587853 588690 588718 "E04DGFA" 588723 T E04DGFA (NIL) -8 NIL NIL NIL) (-277 581930 583378 584742 "E04AGNT" 586509 T E04AGNT (NIL) -7 NIL NIL NIL) (-276 580550 581231 581271 "DVARCAT" 581612 NIL DVARCAT (NIL T) -9 NIL 581775 NIL) (-275 579700 579966 580280 "DVARCAT-" 580285 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-274 571661 579499 579628 "DSMP" 579633 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-273 570012 570803 570844 "DSEXT" 571207 NIL DSEXT (NIL T) -9 NIL 571501 NIL) (-272 568201 568725 569391 "DSEXT-" 569396 NIL DSEXT- (NIL T T) -8 NIL NIL NIL) (-271 562784 564146 565214 "DROPT" 567153 T DROPT (NIL) -8 NIL NIL NIL) (-270 562443 562508 562606 "DROPT1" 562719 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-269 557462 558684 559821 "DROPT0" 561326 T DROPT0 (NIL) -7 NIL NIL NIL) (-268 555771 556132 556518 "DRAWPT" 557096 T DRAWPT (NIL) -7 NIL NIL NIL) (-267 550262 551281 552360 "DRAW" 554745 NIL DRAW (NIL T) -7 NIL NIL NIL) (-266 549889 549948 550066 "DRAWHACK" 550203 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-265 548590 548889 549180 "DRAWCX" 549618 T DRAWCX (NIL) -7 NIL NIL NIL) (-264 548099 548174 548325 "DRAWCURV" 548516 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-263 538417 540529 542644 "DRAWCFUN" 546004 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-262 534888 537082 537123 "DQAGG" 537752 NIL DQAGG (NIL T) -9 NIL 538026 NIL) (-261 521471 529099 529182 "DPOLCAT" 531034 NIL DPOLCAT (NIL T T T T) -9 NIL 531579 NIL) (-260 515990 517656 519614 "DPOLCAT-" 519619 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-259 508847 515851 515949 "DPMO" 515954 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-258 501601 508627 508794 "DPMM" 508799 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-257 501123 501385 501474 "DOMTMPLT" 501532 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-256 500472 500925 501005 "DOMCTOR" 501063 T DOMCTOR (NIL) -8 NIL NIL NIL) (-255 499624 499952 500103 "DOMAIN" 500341 T DOMAIN (NIL) -8 NIL NIL NIL) (-254 492636 499259 499411 "DMP" 499525 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-253 490413 491703 491744 "DMEXT" 491749 NIL DMEXT (NIL T) -9 NIL 491925 NIL) (-252 490007 490069 490213 "DLP" 490351 NIL DLP (NIL T) -7 NIL NIL NIL) (-251 483130 489334 489524 "DLIST" 489849 NIL DLIST (NIL T) -8 NIL NIL NIL) (-250 479668 481955 481996 "DLAGG" 482546 NIL DLAGG (NIL T) -9 NIL 482776 NIL) (-249 478180 478994 479022 "DIVRING" 479114 T DIVRING (NIL) -9 NIL 479197 NIL) (-248 477363 477607 477907 "DIVRING-" 477912 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-247 475405 475822 476228 "DISPLAY" 476977 T DISPLAY (NIL) -7 NIL NIL NIL) (-246 468812 475319 475382 "DIRPROD" 475387 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-245 467642 467863 468128 "DIRPROD2" 468605 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-244 455861 462353 462406 "DIRPCAT" 462664 NIL DIRPCAT (NIL NIL T) -9 NIL 463539 NIL) (-243 453061 453829 454710 "DIRPCAT-" 455047 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-242 452342 452508 452694 "DIOSP" 452895 T DIOSP (NIL) -7 NIL NIL NIL) (-241 448756 451226 451267 "DIOPS" 451701 NIL DIOPS (NIL T) -9 NIL 451930 NIL) (-240 448275 448419 448610 "DIOPS-" 448615 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-239 447182 447954 447982 "DIFRING" 447987 T DIFRING (NIL) -9 NIL 448009 NIL) (-238 446830 446928 446956 "DIFFSPC" 447075 T DIFFSPC (NIL) -9 NIL 447150 NIL) (-237 446451 446553 446705 "DIFFSPC-" 446710 NIL DIFFSPC- (NIL T) -8 NIL NIL NIL) (-236 445387 445985 446026 "DIFFMOD" 446031 NIL DIFFMOD (NIL T) -9 NIL 446129 NIL) (-235 445083 445140 445181 "DIFFDOM" 445302 NIL DIFFDOM (NIL T) -9 NIL 445370 NIL) (-234 444930 444960 445044 "DIFFDOM-" 445049 NIL DIFFDOM- (NIL T T) -8 NIL NIL NIL) (-233 442670 444134 444175 "DIFEXT" 444180 NIL DIFEXT (NIL T) -9 NIL 444333 NIL) (-232 439704 442174 442215 "DIAGG" 442220 NIL DIAGG (NIL T) -9 NIL 442240 NIL) (-231 439052 439245 439497 "DIAGG-" 439502 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-230 433902 438011 438288 "DHMATRIX" 438821 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-229 429370 430423 431433 "DFSFUN" 432912 T DFSFUN (NIL) -7 NIL NIL NIL) (-228 423604 428301 428613 "DFLOAT" 429078 T DFLOAT (NIL) -8 NIL NIL NIL) (-227 421843 422148 422537 "DFINTTLS" 423312 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-226 418662 419864 420264 "DERHAM" 421509 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-225 416198 418437 418526 "DEQUEUE" 418606 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-224 415440 415585 415768 "DEGRED" 416060 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-223 411846 412615 413461 "DEFINTRF" 414668 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-222 409383 409870 410462 "DEFINTEF" 411365 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-221 408667 409003 409118 "DEFAST" 409288 T DEFAST (NIL) -8 NIL NIL NIL) (-220 401703 408260 408410 "DECIMAL" 408537 T DECIMAL (NIL) -8 NIL NIL NIL) (-219 399161 399673 400179 "DDFACT" 401247 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-218 398751 398800 398951 "DBLRESP" 399112 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-217 397952 398521 398612 "DBASIS" 398700 NIL DBASIS (NIL NIL) -8 NIL NIL NIL) (-216 395736 396182 396543 "DBASE" 397718 NIL DBASE (NIL T) -8 NIL NIL NIL) (-215 394924 395216 395362 "DATAARY" 395635 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-214 393982 394883 394911 "D03FAFA" 394916 T D03FAFA (NIL) -8 NIL NIL NIL) (-213 393041 393941 393969 "D03EEFA" 393974 T D03EEFA (NIL) -8 NIL NIL NIL) (-212 390967 391457 391946 "D03AGNT" 392572 T D03AGNT (NIL) -7 NIL NIL NIL) (-211 390208 390926 390954 "D02EJFA" 390959 T D02EJFA (NIL) -8 NIL NIL NIL) (-210 389449 390167 390195 "D02CJFA" 390200 T D02CJFA (NIL) -8 NIL NIL NIL) (-209 388690 389408 389436 "D02BHFA" 389441 T D02BHFA (NIL) -8 NIL NIL NIL) (-208 387931 388649 388677 "D02BBFA" 388682 T D02BBFA (NIL) -8 NIL NIL NIL) (-207 381062 382717 384323 "D02AGNT" 386345 T D02AGNT (NIL) -7 NIL NIL NIL) (-206 378812 379353 379899 "D01WGTS" 380536 T D01WGTS (NIL) -7 NIL NIL NIL) (-205 377819 378771 378799 "D01TRNS" 378804 T D01TRNS (NIL) -8 NIL NIL NIL) (-204 376827 377778 377806 "D01GBFA" 377811 T D01GBFA (NIL) -8 NIL NIL NIL) (-203 375835 376786 376814 "D01FCFA" 376819 T D01FCFA (NIL) -8 NIL NIL NIL) (-202 374843 375794 375822 "D01ASFA" 375827 T D01ASFA (NIL) -8 NIL NIL NIL) (-201 373851 374802 374830 "D01AQFA" 374835 T D01AQFA (NIL) -8 NIL NIL NIL) (-200 372859 373810 373838 "D01APFA" 373843 T D01APFA (NIL) -8 NIL NIL NIL) (-199 371867 372818 372846 "D01ANFA" 372851 T D01ANFA (NIL) -8 NIL NIL NIL) (-198 370875 371826 371854 "D01AMFA" 371859 T D01AMFA (NIL) -8 NIL NIL NIL) (-197 369883 370834 370862 "D01ALFA" 370867 T D01ALFA (NIL) -8 NIL NIL NIL) (-196 368891 369842 369870 "D01AKFA" 369875 T D01AKFA (NIL) -8 NIL NIL NIL) (-195 367899 368850 368878 "D01AJFA" 368883 T D01AJFA (NIL) -8 NIL NIL NIL) (-194 361122 362747 364308 "D01AGNT" 366358 T D01AGNT (NIL) -7 NIL NIL NIL) (-193 360441 360587 360739 "CYCLOTOM" 360990 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-192 357096 357889 358616 "CYCLES" 359734 T CYCLES (NIL) -7 NIL NIL NIL) (-191 356396 356542 356713 "CVMP" 356957 NIL CVMP (NIL T) -7 NIL NIL NIL) (-190 354183 354495 354864 "CTRIGMNP" 356124 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-189 353541 353977 354050 "CTOR" 354130 T CTOR (NIL) -8 NIL NIL NIL) (-188 353014 353272 353373 "CTORKIND" 353460 T CTORKIND (NIL) -8 NIL NIL NIL) (-187 352219 352607 352635 "CTORCAT" 352817 T CTORCAT (NIL) -9 NIL 352930 NIL) (-186 351793 351928 352087 "CTORCAT-" 352092 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-185 351207 351467 351575 "CTORCALL" 351717 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-184 350563 350680 350833 "CSTTOOLS" 351104 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-183 346260 347019 347777 "CRFP" 349875 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-182 345675 345981 346073 "CRCEAST" 346188 T CRCEAST (NIL) -8 NIL NIL NIL) (-181 344698 344907 345135 "CRAPACK" 345479 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-180 344078 344183 344387 "CPMATCH" 344574 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-179 343797 343831 343937 "CPIMA" 344044 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-178 340055 340817 341536 "COORDSYS" 343132 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-177 339443 339588 339730 "CONTOUR" 339933 T CONTOUR (NIL) -8 NIL NIL NIL) (-176 334908 337446 337938 "CONTFRAC" 338983 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-175 334782 334809 334837 "CONDUIT" 334874 T CONDUIT (NIL) -9 NIL NIL NIL) (-174 333736 334410 334438 "COMRING" 334443 T COMRING (NIL) -9 NIL 334495 NIL) (-173 332718 333094 333278 "COMPPROP" 333572 T COMPPROP (NIL) -8 NIL NIL NIL) (-172 332373 332414 332542 "COMPLPAT" 332677 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-171 320756 332182 332291 "COMPLEX" 332296 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 320386 320449 320556 "COMPLEX2" 320693 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-169 319707 319846 320006 "COMPILER" 320246 T COMPILER (NIL) -8 NIL NIL NIL) (-168 319419 319460 319558 "COMPFACT" 319666 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-167 300794 313123 313163 "COMPCAT" 314167 NIL COMPCAT (NIL T) -9 NIL 315515 NIL) (-166 289682 293233 296860 "COMPCAT-" 297216 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-165 289405 289439 289542 "COMMUPC" 289648 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-164 289193 289233 289292 "COMMONOP" 289366 T COMMONOP (NIL) -7 NIL NIL NIL) (-163 288701 288944 289031 "COMM" 289126 T COMM (NIL) -8 NIL NIL NIL) (-162 288223 288505 288580 "COMMAAST" 288646 T COMMAAST (NIL) -8 NIL NIL NIL) (-161 287418 287666 287694 "COMBOPC" 288032 T COMBOPC (NIL) -9 NIL 288207 NIL) (-160 286272 286524 286766 "COMBINAT" 287208 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-159 282615 283303 283930 "COMBF" 285694 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-158 281277 281731 281966 "COLOR" 282400 T COLOR (NIL) -8 NIL NIL NIL) (-157 280693 280998 281090 "COLONAST" 281205 T COLONAST (NIL) -8 NIL NIL NIL) (-156 280327 280380 280505 "CMPLXRT" 280640 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-155 279715 280027 280126 "CLLCTAST" 280248 T CLLCTAST (NIL) -8 NIL NIL NIL) (-154 275175 276245 277325 "CLIP" 278655 T CLIP (NIL) -7 NIL NIL NIL) (-153 273348 274276 274516 "CLIF" 275002 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-152 269330 271466 271507 "CLAGG" 272436 NIL CLAGG (NIL T) -9 NIL 272972 NIL) (-151 267674 268209 268792 "CLAGG-" 268797 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-150 267212 267303 267443 "CINTSLPE" 267583 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-149 264677 265184 265732 "CHVAR" 266740 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-148 263717 264391 264419 "CHARZ" 264424 T CHARZ (NIL) -9 NIL 264439 NIL) (-147 263465 263511 263589 "CHARPOL" 263671 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-146 262383 263096 263124 "CHARNZ" 263171 T CHARNZ (NIL) -9 NIL 263227 NIL) (-145 260127 261037 261390 "CHAR" 262050 T CHAR (NIL) -8 NIL NIL NIL) (-144 259835 259914 259942 "CFCAT" 260053 T CFCAT (NIL) -9 NIL NIL NIL) (-143 259058 259187 259370 "CDEN" 259719 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-142 254655 258211 258491 "CCLASS" 258798 T CCLASS (NIL) -8 NIL NIL NIL) (-141 253876 254063 254240 "CATEGORY" 254498 T -10 (NIL) -8 NIL NIL NIL) (-140 253371 253795 253843 "CATCTOR" 253848 T CATCTOR (NIL) -8 NIL NIL NIL) (-139 252762 253074 253172 "CATAST" 253293 T CATAST (NIL) -8 NIL NIL NIL) (-138 252178 252483 252575 "CASEAST" 252690 T CASEAST (NIL) -8 NIL NIL NIL) (-137 247076 248335 249079 "CARTEN" 251490 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 246172 246332 246553 "CARTEN2" 246923 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-135 244302 245322 245579 "CARD" 245935 T CARD (NIL) -8 NIL NIL NIL) (-134 243824 244106 244181 "CAPSLAST" 244247 T CAPSLAST (NIL) -8 NIL NIL NIL) (-133 243266 243522 243550 "CACHSET" 243682 T CACHSET (NIL) -9 NIL 243760 NIL) (-132 242656 243044 243072 "CABMON" 243122 T CABMON (NIL) -9 NIL 243178 NIL) (-131 242093 242360 242470 "BYTEORD" 242566 T BYTEORD (NIL) -8 NIL NIL NIL) (-130 240944 241622 241764 "BYTE" 241927 T BYTE (NIL) -8 NIL NIL 242049) (-129 235871 240449 240621 "BYTEBUF" 240792 T BYTEBUF (NIL) -8 NIL NIL NIL) (-128 233133 235563 235670 "BTREE" 235797 NIL BTREE (NIL T) -8 NIL NIL NIL) (-127 230335 232781 232903 "BTOURN" 233043 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-126 227442 229777 229818 "BTCAT" 229886 NIL BTCAT (NIL T) -9 NIL 229963 NIL) (-125 227091 227189 227338 "BTCAT-" 227343 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-124 221982 226337 226365 "BTAGG" 226479 T BTAGG (NIL) -9 NIL 226589 NIL) (-123 221436 221597 221803 "BTAGG-" 221808 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-122 218172 220714 220929 "BSTREE" 221253 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-121 217280 217436 217620 "BRILL" 218028 NIL BRILL (NIL T) -7 NIL NIL NIL) (-120 213675 215978 216019 "BRAGG" 216668 NIL BRAGG (NIL T) -9 NIL 216926 NIL) (-119 212108 212610 213165 "BRAGG-" 213170 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-118 204344 211452 211637 "BPADICRT" 211955 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-117 202353 204281 204326 "BPADIC" 204331 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-116 202045 202081 202195 "BOUNDZRO" 202317 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-115 197027 198471 199383 "BOP" 201153 T BOP (NIL) -8 NIL NIL NIL) (-114 194754 195212 195687 "BOP1" 196585 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-113 194437 194516 194544 "BOOLE" 194655 T BOOLE (NIL) -9 NIL 194737 NIL) (-112 193088 194011 194160 "BOOLEAN" 194308 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 192257 192757 192811 "BMODULE" 192816 NIL BMODULE (NIL T T) -9 NIL 192881 NIL) (-110 187578 192055 192128 "BITS" 192204 T BITS (NIL) -8 NIL NIL NIL) (-109 186975 187118 187258 "BINDING" 187458 T BINDING (NIL) -8 NIL NIL NIL) (-108 180014 186570 186719 "BINARY" 186846 T BINARY (NIL) -8 NIL NIL NIL) (-107 177621 179241 179282 "BGAGG" 179542 NIL BGAGG (NIL T) -9 NIL 179679 NIL) (-106 177446 177484 177575 "BGAGG-" 177580 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 176469 176830 177035 "BFUNCT" 177261 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 175139 175337 175625 "BEZOUT" 176293 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 171337 173991 174321 "BBTREE" 174842 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 170920 171016 171044 "BASTYPE" 171221 T BASTYPE (NIL) -9 NIL 171320 NIL) (-101 170578 170677 170812 "BASTYPE-" 170817 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 170000 170088 170240 "BALFACT" 170489 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 168736 169415 169601 "AUTOMOR" 169845 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 168462 168467 168493 "ATTREG" 168498 T ATTREG (NIL) -9 NIL NIL NIL) (-97 166624 167159 167511 "ATTRBUT" 168128 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 166178 166452 166518 "ATTRAST" 166576 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 165678 165827 165853 "ATRIG" 166054 T ATRIG (NIL) -9 NIL NIL NIL) (-94 165475 165528 165615 "ATRIG-" 165620 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 165058 165292 165318 "ASTCAT" 165323 T ASTCAT (NIL) -9 NIL 165353 NIL) (-92 164767 164844 164963 "ASTCAT-" 164968 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 162741 164543 164631 "ASTACK" 164710 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 161230 161543 161908 "ASSOCEQ" 162423 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 160154 160889 161013 "ASP9" 161137 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 159881 160102 160141 "ASP8" 160146 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 158641 159486 159628 "ASP80" 159770 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 157431 158276 158408 "ASP7" 158540 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 156277 157108 157226 "ASP78" 157344 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 155138 155957 156074 "ASP77" 156191 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 153942 154776 154907 "ASP74" 155038 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 152734 153577 153709 "ASP73" 153841 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 151730 152560 152660 "ASP6" 152665 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 150569 151407 151525 "ASP55" 151643 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 149410 150243 150362 "ASP50" 150481 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 148390 149111 149221 "ASP4" 149331 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 147370 148091 148201 "ASP49" 148311 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 146046 146909 147077 "ASP42" 147259 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 144715 145579 145749 "ASP41" 145933 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 143557 144392 144510 "ASP35" 144628 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 143286 143505 143544 "ASP34" 143549 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 143005 143090 143166 "ASP33" 143241 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 141791 142640 142772 "ASP31" 142904 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 141520 141739 141778 "ASP30" 141783 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 141237 141324 141400 "ASP29" 141475 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 140966 141185 141224 "ASP28" 141229 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 140695 140914 140953 "ASP27" 140958 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 139671 140393 140504 "ASP24" 140615 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 138640 139473 139585 "ASP20" 139590 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 137620 138341 138451 "ASP1" 138561 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 136455 137294 137413 "ASP19" 137532 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 136174 136259 136335 "ASP12" 136410 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 134918 135773 135917 "ASP10" 136061 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 132530 134762 134853 "ARRAY2" 134858 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 127890 132178 132292 "ARRAY1" 132447 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 126904 127095 127316 "ARRAY12" 127713 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 120949 123106 123181 "ARR2CAT" 125811 NIL ARR2CAT (NIL T T T) -9 NIL 126569 NIL) (-56 118239 119127 120081 "ARR2CAT-" 120086 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 117490 117866 117991 "ARITY" 118132 T ARITY (NIL) -8 NIL NIL NIL) (-54 116248 116418 116717 "APPRULE" 117326 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 115893 115947 116066 "APPLYORE" 116194 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 115193 115486 115606 "ANY" 115791 T ANY (NIL) -8 NIL NIL NIL) (-51 114447 114594 114751 "ANY1" 115067 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 111773 112884 113211 "ANTISYM" 114171 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 111217 111480 111576 "ANON" 111695 T ANON (NIL) -8 NIL NIL NIL) (-48 104373 109756 110210 "AN" 110781 T AN (NIL) -8 NIL NIL NIL) (-47 100029 101645 101696 "AMR" 102444 NIL AMR (NIL T T) -9 NIL 103044 NIL) (-46 99081 99362 99725 "AMR-" 99730 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 82550 98998 99059 "ALIST" 99064 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 78847 82144 82313 "ALGSC" 82468 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 75297 75957 76564 "ALGPKG" 78287 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 74562 74675 74859 "ALGMFACT" 75183 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 70545 71176 71770 "ALGMANIP" 74146 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 59884 70171 70321 "ALGFF" 70478 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 59056 59211 59390 "ALGFACT" 59742 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 57845 58583 58621 "ALGEBRA" 58626 NIL ALGEBRA (NIL T) -9 NIL 58667 NIL) (-37 57545 57622 57754 "ALGEBRA-" 57759 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 38506 55382 55434 "ALAGG" 55570 NIL ALAGG (NIL T T) -9 NIL 55731 NIL) (-35 38006 38155 38181 "AHYP" 38382 T AHYP (NIL) -9 NIL NIL NIL) (-34 36891 37185 37211 "AGG" 37710 T AGG (NIL) -9 NIL 37989 NIL) (-33 36289 36487 36701 "AGG-" 36706 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 34049 34518 34923 "AF" 35931 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 33469 33774 33864 "ADDAST" 33977 T ADDAST (NIL) -8 NIL NIL NIL) (-30 32701 32996 33152 "ACPLOT" 33331 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 20258 29633 29671 "ACFS" 30278 NIL ACFS (NIL T) -9 NIL 30517 NIL) (-28 18165 18775 19537 "ACFS-" 19542 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 13873 16198 16224 "ACF" 17103 T ACF (NIL) -9 NIL 17516 NIL) (-26 12505 12911 13404 "ACF-" 13409 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 12015 12258 12284 "ABELSG" 12376 T ABELSG (NIL) -9 NIL 12441 NIL) (-24 11876 11907 11973 "ABELSG-" 11978 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 11145 11492 11518 "ABELMON" 11688 T ABELMON (NIL) -9 NIL 11800 NIL) (-22 10785 10893 11031 "ABELMON-" 11036 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 10035 10491 10517 "ABELGRP" 10589 T ABELGRP (NIL) -9 NIL 10664 NIL) (-20 9462 9627 9843 "ABELGRP-" 9848 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4579 8724 8763 "A1AGG" 8768 NIL A1AGG (NIL T) -9 NIL 8808 NIL) (-18 30 1497 3059 "A1AGG-" 3064 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 0ee3cf05..1dcf44de 100644 --- a/src/share/algebra/operation.daase +++ b/src/share/algebra/operation.daase @@ -1,506 +1,759 @@ -(732177 . 3487831423) +(732177 . 3487980643) +(((*1 *2 *1 *3 *3) + (-12 (|has| *1 (-6 -4471)) (-4 *1 (-617 *3 *4)) (-4 *3 (-1125)) + (-4 *4 (-1242)) (-5 *2 (-1297))))) (((*1 *2 *2) - (-12 (-5 *2 (-660 (-660 *3))) (-4 *3 (-865)) (-5 *1 (-1212 *3))))) -(((*1 *2 *3) - (-12 (-5 *3 (-660 (-327 (-228)))) (-5 *2 (-112)) (-5 *1 (-277)))) - ((*1 *2 *3) (-12 (-5 *3 (-327 (-228))) (-5 *2 (-112)) (-5 *1 (-277)))) + (-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2)) + (-4 *2 (-13 (-443 *3) (-1027)))))) +(((*1 *1 *1 *2) (-12 (-5 *2 (-660 (-271))) (-5 *1 (-1293)))) + ((*1 *2 *1) (-12 (-5 *2 (-660 (-271))) (-5 *1 (-1293)))) + ((*1 *1 *1 *2) (-12 (-5 *2 (-660 (-271))) (-5 *1 (-1294)))) + ((*1 *2 *1) (-12 (-5 *2 (-660 (-271))) (-5 *1 (-1294))))) +(((*1 *2 *3 *3 *3 *4 *4 *4 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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| (-1182 (-228))) + (|:| |notEvaluated| + "Internal singularities not yet evaluated"))) + (|:| -1817 + (-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 (-572)))) + ((*1 *2 *1) + (-12 (-4 *1 (-617 *3 *4)) (-4 *3 (-1125)) (-4 *4 (-1242)) + (-5 *2 (-660 *4))))) +(((*1 *2 *3 *3) + (-12 (-4 *4 (-13 (-465) (-148))) (-5 *2 (-431 *3)) + (-5 *1 (-100 *4 *3)) (-4 *3 (-1268 *4)))) + ((*1 *2 *3 *4) + (-12 (-5 *4 (-660 *3)) (-4 *3 (-1268 *5)) (-4 *5 (-13 (-465) (-148))) + (-5 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+ (-12 (-5 *2 (-705 *3)) (-4 *3 (-1074)) (-5 *1 (-1053 *3)))) + ((*1 *2 *2 *2) + (-12 (-5 *2 (-660 (-705 *3))) (-4 *3 (-1074)) (-5 *1 (-1053 *3)))) + ((*1 *2 *2) + (-12 (-5 *2 (-705 *3)) (-4 *3 (-1074)) (-5 *1 (-1053 *3)))) + ((*1 *2 *2) + (-12 (-5 *2 (-660 (-705 *3))) (-4 *3 (-1074)) (-5 *1 (-1053 *3))))) +(((*1 *2 *2 *3 *3) + (-12 (-5 *3 (-577)) (-4 *4 (-174)) (-4 *5 (-385 *4)) + (-4 *6 (-385 *4)) (-5 *1 (-704 *4 *5 *6 *2)) + (-4 *2 (-703 *4 *5 *6))))) +(((*1 *2 *3) + (-12 (-5 *3 (-660 (-494 *4 *5))) (-14 *4 (-660 (-1201))) + (-4 *5 (-465)) (-5 *2 (-660 (-254 *4 *5))) (-5 *1 (-644 *4 *5))))) (((*1 *2 *3 *4) (-12 (-5 *3 (-660 (-420 (-975 (-577))))) (-5 *2 (-660 (-660 (-305 (-975 *4))))) (-5 *1 (-392 *4)) @@ -790,7 +2987,7 @@ (|partial| -12 (-5 *5 (-1201)) (-4 *6 (-13 (-318) (-1063 (-577)) (-654 (-577)) (-148))) (-4 *4 (-13 (-29 *6) (-1227) (-982))) - (-5 *2 (-2 (|:| |particular| *4) (|:| -1486 (-660 *4)))) + (-5 *2 (-2 (|:| |particular| *4) (|:| -1745 (-660 *4)))) (-5 *1 (-668 *6 *4 *3)) (-4 *3 (-672 *4)))) ((*1 *2 *3 *2 *4 *2 *5) (|partial| -12 (-5 *4 (-1201)) (-5 *5 (-660 *2)) @@ -801,40 +2998,40 @@ (-12 (-5 *3 (-705 *5)) (-4 *5 (-375)) (-5 *2 (-2 (|:| |particular| (-3 (-1292 *5) "failed")) - (|:| -1486 (-660 (-1292 *5))))) + (|:| -1745 (-660 (-1292 *5))))) (-5 *1 (-683 *5)) (-5 *4 (-1292 *5)))) ((*1 *2 *3 *4) (-12 (-5 *3 (-660 (-660 *5))) (-4 *5 (-375)) (-5 *2 (-2 (|:| |particular| (-3 (-1292 *5) "failed")) - (|:| -1486 (-660 (-1292 *5))))) + (|:| -1745 (-660 (-1292 *5))))) (-5 *1 (-683 *5)) (-5 *4 (-1292 *5)))) ((*1 *2 *3 *4) (-12 (-5 *3 (-705 *5)) (-4 *5 (-375)) (-5 *2 (-660 (-2 (|:| |particular| (-3 (-1292 *5) "failed")) - (|:| -1486 (-660 (-1292 *5)))))) + (|:| -1745 (-660 (-1292 *5)))))) (-5 *1 (-683 *5)) (-5 *4 (-660 (-1292 *5))))) ((*1 *2 *3 *4) (-12 (-5 *3 (-660 (-660 *5))) (-4 *5 (-375)) (-5 *2 (-660 (-2 (|:| |particular| (-3 (-1292 *5) "failed")) - (|:| -1486 (-660 (-1292 *5)))))) + (|:| -1745 (-660 (-1292 *5)))))) (-5 *1 (-683 *5)) (-5 *4 (-660 (-1292 *5))))) ((*1 *2 *3 *4) (-12 (-4 *5 (-375)) (-4 *6 (-13 (-385 *5) (-10 -7 (-6 -4471)))) (-4 *4 (-13 (-385 *5) (-10 -7 (-6 -4471)))) (-5 *2 - (-2 (|:| |particular| (-3 *4 "failed")) (|:| -1486 (-660 *4)))) + (-2 (|:| |particular| (-3 *4 "failed")) (|:| -1745 (-660 *4)))) (-5 *1 (-684 *5 *6 *4 *3)) (-4 *3 (-703 *5 *6 *4)))) ((*1 *2 *3 *4) (-12 (-4 *5 (-375)) (-4 *6 (-13 (-385 *5) (-10 -7 (-6 -4471)))) (-4 *7 (-13 (-385 *5) (-10 -7 (-6 -4471)))) (-5 *2 (-660 - (-2 (|:| |particular| (-3 *7 "failed")) (|:| -1486 (-660 *7))))) + (-2 (|:| |particular| (-3 *7 "failed")) (|:| -1745 (-660 *7))))) (-5 *1 (-684 *5 *6 *7 *3)) (-5 *4 (-660 *7)) (-4 *3 (-703 *5 *6 *7)))) ((*1 *2 *3 *4) @@ -852,7 +3049,7 @@ (-4 *7 (-13 (-29 *6) (-1227) (-982))) (-4 *6 (-13 (-318) (-1063 (-577)) (-654 (-577)) (-148))) (-5 *2 - (-2 (|:| |particular| (-1292 *7)) (|:| -1486 (-660 (-1292 *7))))) + (-2 (|:| |particular| (-1292 *7)) (|:| -1745 (-660 (-1292 *7))))) (-5 *1 (-818 *6 *7)) (-5 *4 (-1292 *7)))) ((*1 *2 *3 *4) (|partial| -12 (-5 *3 (-705 *6)) (-5 *4 (-1201)) @@ -864,27 +3061,27 @@ (-5 *5 (-1201)) (-4 *7 (-13 (-29 *6) (-1227) (-982))) (-4 *6 (-13 (-318) (-1063 (-577)) (-654 (-577)) (-148))) (-5 *2 - (-2 (|:| |particular| (-1292 *7)) (|:| -1486 (-660 (-1292 *7))))) + (-2 (|:| |particular| (-1292 *7)) (|:| -1745 (-660 (-1292 *7))))) (-5 *1 (-818 *6 *7)))) ((*1 *2 *3 *4 *5) (|partial| -12 (-5 *3 (-660 *7)) (-5 *4 (-660 (-115))) (-5 *5 (-1201)) (-4 *7 (-13 (-29 *6) (-1227) (-982))) (-4 *6 (-13 (-318) (-1063 (-577)) (-654 (-577)) (-148))) (-5 *2 - (-2 (|:| |particular| (-1292 *7)) (|:| -1486 (-660 (-1292 *7))))) + (-2 (|:| |particular| (-1292 *7)) (|:| -1745 (-660 (-1292 *7))))) (-5 *1 (-818 *6 *7)))) ((*1 *2 *3 *4 *5) (-12 (-5 *3 (-305 *7)) (-5 *4 (-115)) (-5 *5 (-1201)) (-4 *7 (-13 (-29 *6) (-1227) (-982))) (-4 *6 (-13 (-318) (-1063 (-577)) (-654 (-577)) (-148))) (-5 *2 - (-3 (-2 (|:| |particular| *7) (|:| -1486 (-660 *7))) *7 "failed")) + (-3 (-2 (|:| |particular| *7) (|:| -1745 (-660 *7))) *7 "failed")) (-5 *1 (-818 *6 *7)))) ((*1 *2 *3 *4 *5) (-12 (-5 *4 (-115)) (-5 *5 (-1201)) (-4 *6 (-13 (-318) (-1063 (-577)) (-654 (-577)) (-148))) (-5 *2 - (-3 (-2 (|:| |particular| *3) (|:| -1486 (-660 *3))) *3 "failed")) + (-3 (-2 (|:| |particular| *3) (|:| -1745 (-660 *3))) *3 "failed")) (-5 *1 (-818 *6 *3)) (-4 *3 (-13 (-29 *6) (-1227) (-982))))) ((*1 *2 *3 *4 *3 *5) (|partial| -12 (-5 *3 (-305 *2)) (-5 *4 (-115)) (-5 *5 (-660 *2)) @@ -920,10 +3117,10 @@ (|partial| -12 (-5 *5 (-1 - (-3 (-2 (|:| |particular| *6) (|:| -1486 (-660 *6))) "failed") + (-3 (-2 (|:| |particular| *6) (|:| -1745 (-660 *6))) "failed") *7 *6)) (-4 *6 (-375)) (-4 *7 (-672 *6)) - (-5 *2 (-2 (|:| |particular| (-1292 *6)) (|:| -1486 (-705 *6)))) + (-5 *2 (-2 (|:| |particular| (-1292 *6)) (|:| -1745 (-705 *6)))) (-5 *1 (-829 *6 *7)) (-5 *3 (-705 *6)) (-5 *4 (-1292 *6)))) ((*1 *2 *3) (-12 (-5 *3 (-919)) (-5 *2 (-1060)) (-5 *1 (-918)))) ((*1 *2 *3 *4) @@ -996,9 +3193,115 @@ ((*1 *2 *3) (-12 (-4 *4 (-569)) (-5 *2 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(-1201)) - (-14 *4 (-3 (|:| |fst| (-447)) (|:| -4021 "void"))) + (-14 *4 (-3 (|:| |fst| (-447)) (|:| -4154 "void"))) (-14 *5 (-660 (-1201))) (-14 *6 (-1205)))) ((*1 *1 *2) (-12 (-5 *2 (-342 *4)) (-4 *4 (-13 (-865) (-21))) @@ -2231,14 +4692,14 @@ ((*1 *1 *2) (-12 (-5 *2 (-447)) (-5 *1 (-450)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1205)) (|:| -3019 (-660 (-341))))) + (-5 *2 (-2 (|:| |localSymbols| (-1205)) (|:| -4432 (-660 (-341))))) (-4 *1 (-453)))) ((*1 *1 *2) (-12 (-5 *2 (-341)) (-4 *1 (-453)))) ((*1 *1 *2) (-12 (-5 *2 (-660 (-341))) (-4 *1 (-453)))) ((*1 *1 *2) (-12 (-5 *2 (-1292 (-715))) (-4 *1 (-453)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1205)) (|:| -3019 (-660 (-341))))) + (-5 *2 (-2 (|:| |localSymbols| (-1205)) (|:| -4432 (-660 (-341))))) (-4 *1 (-454)))) ((*1 *1 *2) (-12 (-5 *2 (-341)) (-4 *1 (-454)))) ((*1 *1 *2) (-12 (-5 *2 (-660 (-341))) (-4 *1 (-454)))) @@ -2307,7 +4768,7 @@ (-14 *4 (-1 *2 *2 *3)) (-14 *5 (-1 (-3 *3 "failed") *3 *3)) (-14 *6 (-1 (-3 *2 "failed") *2 *2 *3)))) ((*1 *1 *2) - (-12 (-5 *2 (-660 (-2 (|:| -3506 *3) (|:| -2241 *4)))) + (-12 (-5 *2 (-660 (-2 (|:| -2940 *3) (|:| -1740 *4)))) (-4 *3 (-1074)) (-4 *4 (-742)) (-5 *1 (-751 *3 *4)))) ((*1 *1 *2) (-12 (-5 *2 (-577)) (-4 *1 (-779)))) ((*1 *1 *2) @@ -2316,25 +4777,25 @@ (-3 (|:| |nia| (-2 (|:| |var| (-1201)) (|:| |fn| (-327 (-228))) - (|:| -1495 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) + (|:| -1817 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))) (|:| |mdnia| (-2 (|:| |fn| (-327 (-228))) - (|:| -1495 (-660 (-1119 (-859 (-228))))) + (|:| -1817 (-660 (-1119 (-859 (-228))))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))))) (-5 *1 (-785)))) ((*1 *1 *2) (-12 (-5 *2 (-2 (|:| |fn| (-327 (-228))) - (|:| -1495 (-660 (-1119 (-859 (-228))))) (|:| |abserr| (-228)) + (|:| -1817 (-660 (-1119 (-859 (-228))))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))) (-5 *1 (-785)))) ((*1 *1 *2) (-12 (-5 *2 (-2 (|:| |var| (-1201)) (|:| |fn| (-327 (-228))) - (|:| -1495 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) + (|:| -1817 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))) (-5 *1 (-785)))) ((*1 *2 *3) (-12 (-5 *2 (-790)) (-5 *1 (-789 *3)) (-4 *3 (-1242)))) @@ -2352,23 +4813,23 @@ (-5 *2 (-3 (|:| |noa| - (-2 (|:| |fn| (-327 (-228))) (|:| -1550 (-660 (-228))) + (-2 (|:| |fn| (-327 (-228))) (|:| -3457 (-660 (-228))) (|:| |lb| (-660 (-859 (-228)))) (|:| |cf| (-660 (-327 (-228)))) (|:| |ub| (-660 (-859 (-228)))))) (|:| |lsa| (-2 (|:| |lfn| (-660 (-327 (-228)))) - (|:| -1550 (-660 (-228))))))) + (|:| -3457 (-660 (-228))))))) (-5 *1 (-857)))) ((*1 *1 *2) (-12 (-5 *2 - (-2 (|:| |lfn| (-660 (-327 (-228)))) (|:| -1550 (-660 (-228))))) + (-2 (|:| |lfn| (-660 (-327 (-228)))) (|:| -3457 (-660 (-228))))) (-5 *1 (-857)))) ((*1 *1 *2) (-12 (-5 *2 - (-2 (|:| |fn| (-327 (-228))) (|:| -1550 (-660 (-228))) + (-2 (|:| |fn| (-327 (-228))) (|:| -3457 (-660 (-228))) (|:| |lb| (-660 (-859 (-228)))) (|:| |cf| (-660 (-327 (-228)))) (|:| |ub| (-660 (-859 (-228)))))) (-5 *1 (-857)))) @@ -2469,37 +4930,88 @@ ((*1 *1 *2) (-12 (-5 *2 (-680 *3 *4)) (-4 *3 (-865)) (-4 *4 (-174)) (-5 *1 (-1312 *3 *4))))) -(((*1 *1 *1 *1) (-5 *1 (-880)))) -(((*1 *2 *2 *2) - (-12 (-5 *2 (-431 *3)) (-4 *3 (-569)) (-5 *1 (-432 *3))))) -(((*1 *1) (-5 *1 (-131)))) -(((*1 *2 *3) - (-12 (-5 *3 (-660 (-1201))) (-5 *2 (-1297)) (-5 *1 (-1204)))) - ((*1 *2 *3 *4) - (-12 (-5 *4 (-660 (-1201))) (-5 *3 (-1201)) (-5 *2 (-1297)) - (-5 *1 (-1204)))) - ((*1 *2 *3 *4 *1) - (-12 (-5 *4 (-660 (-1201))) (-5 *3 (-1201)) (-5 *2 (-1297)) - (-5 *1 (-1204))))) -(((*1 *2 *1) (-12 (-5 *2 (-660 (-891 (-944) (-944)))) (-5 *1 (-996))))) -(((*1 *2 *3) (-12 (-5 *2 (-420 (-577))) (-5 *1 (-574)) (-5 *3 (-577))))) -(((*1 *2 *3 *2 *4) - (|partial| -12 (-5 *3 (-660 (-625 *2))) (-5 *4 (-1201)) - (-4 *2 (-13 (-27) (-1227) (-443 *5))) - (-4 *5 (-13 (-569) (-1063 (-577)) (-654 (-577)))) - (-5 *1 (-287 *5 *2))))) -(((*1 *1 *2 *3) - (-12 (-5 *2 (-1158 (-228))) (-5 *3 (-660 (-271))) (-5 *1 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singularities at both end points") - (|:| |notEvaluated| - "End point continuity not yet evaluated"))) - (|:| |singularitiesStream| - (-3 (|:| |str| (-1182 (-228))) - (|:| |notEvaluated| - "Internal singularities not yet evaluated"))) - (|:| -1495 - (-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 (-572))))) -(((*1 *2 *2) - (-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2)) - (-4 *2 (-13 (-443 *3) (-1027)))))) -(((*1 *2 *3 *3 *2) (-12 (-5 *2 (-391)) (-5 *3 (-1183)) (-5 *1 (-97)))) - ((*1 *2 *3 *2) (-12 (-5 *2 (-391)) (-5 *3 (-1183)) (-5 *1 (-97))))) -(((*1 *2 *3 *3 *3) - (-12 (-5 *2 (-660 (-577))) (-5 *1 (-1135)) (-5 *3 (-577))))) -(((*1 *2 *3 *3 *3 *3 *4 *3 *5) - (-12 (-5 *3 (-577)) (-5 *4 (-705 (-228))) - (-5 *5 (-3 (|:| |fn| (-401)) (|:| |fp| (-63 LSFUN2)))) 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((*1 *2 *1 *3) + (-12 (-4 *1 (-1162)) (-5 *3 (|[\|\|]| (-537))) (-5 *2 (-112)))) + ((*1 *2 *1 *3) + (-12 (-5 *3 (|[\|\|]| (-1183))) (-5 *2 (-112)) (-5 *1 (-1206)))) + ((*1 *2 *1 *3) + (-12 (-5 *3 (|[\|\|]| (-519))) (-5 *2 (-112)) (-5 *1 (-1206)))) + ((*1 *2 *1 *3) + (-12 (-5 *3 (|[\|\|]| (-228))) (-5 *2 (-112)) (-5 *1 (-1206)))) + ((*1 *2 *1 *3) + (-12 (-5 *3 (|[\|\|]| (-577))) (-5 *2 (-112)) (-5 *1 (-1206))))) +(((*1 *2 *2) + (-12 (-4 *3 (-1074)) (-5 *1 (-728 *3 *2)) (-4 *2 (-1268 *3))))) +(((*1 *2) (-12 (-5 *2 (-577)) (-5 *1 (-949))))) +(((*1 *1 *1 *2 *3) + (-12 (-5 *2 (-660 (-1201))) (-5 *3 (-52)) (-5 *1 (-911 *4)) + (-4 *4 (-1125))))) +(((*1 *1 *2) (-12 (-5 *1 (-707 *2)) (-4 *2 (-626 (-880)))))) (((*1 *1 *1) (-4 *1 (-35))) ((*1 *2 *2) (-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2)) @@ -5223,32 +10154,64 @@ ((*1 *2 *2) (-12 (-5 *2 (-1182 *3)) (-4 *3 (-38 (-420 (-577)))) (-5 *1 (-1187 *3))))) -(((*1 *2 *1 *2) (-12 (-5 *2 (-660 (-1183))) (-5 *1 (-407)))) - ((*1 *2 *1 *2) (-12 (-5 *2 (-660 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+ (-5 *2 + (-2 (|:| |contp| (-577)) + (|:| -1775 (-660 (-2 (|:| |irr| *3) (|:| -3601 (-577))))))) + (-5 *1 (-455 *3)) (-4 *3 (-1268 (-577)))))) +(((*1 *2 *1 *1) + (-12 (-4 *3 (-375)) (-4 *3 (-1074)) + (-5 *2 (-2 (|:| |coef1| *1) (|:| |coef2| *1) (|:| -3428 *1))) + (-4 *1 (-870 *3))))) (((*1 *1 *1) (-4 *1 (-35))) ((*1 *2 *2) (-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2)) @@ -5265,32 +10228,59 @@ ((*1 *2 *2) (-12 (-5 *2 (-1182 *3)) (-4 *3 (-38 (-420 (-577)))) (-5 *1 (-1187 *3))))) -(((*1 *2 *1 *2) (-12 (-5 *2 (-660 (-1183))) (-5 *1 (-1222))))) -(((*1 *2 *3) - (-12 (-5 *3 (-966 *2)) (-5 *1 (-1007 *2)) (-4 *2 (-1074))))) -(((*1 *1 *2 *3 *1) (-12 (-5 *2 (-519)) (-5 *3 (-610)) (-5 *1 (-598))))) -(((*1 *2 *3) - (-12 (-5 *3 (-660 (-228))) (-5 *2 (-1292 (-715))) (-5 *1 (-316))))) -(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-447)))) +(((*1 *1 *1 *2) (-12 (-5 *2 (-660 (-1201))) (-5 *1 (-549))))) +(((*1 *2 *3 *1) + (-12 (-5 *3 (-519)) (-5 *2 (-707 (-109))) (-5 *1 (-177)))) + ((*1 *2 *3 *1) + (-12 (-5 *3 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*3)) (-4 *3 (-1074))))) +(((*1 *2 *2) (|partial| -12 (-4 *1 (-1008 *2)) (-4 *2 (-1227))))) +(((*1 *2 *1 *3 *4) + (-12 (-5 *3 (-1183)) (-5 *4 (-1145)) (-5 *2 (-112)) (-5 *1 (-837))))) +(((*1 *1 *2) + (-12 (-5 *2 (-787)) (-5 *1 (-691 *3)) (-4 *3 (-1074)) + (-4 *3 (-1125))))) +(((*1 *2 *3) (-12 (-5 *3 (-838)) (-5 *2 (-52)) (-5 *1 (-845))))) +(((*1 *2) + (-12 (-4 *1 (-354 *3 *4 *5)) (-4 *3 (-1246)) (-4 *4 (-1268 *3)) + (-4 *5 (-1268 (-420 *4))) (-5 *2 (-705 (-420 *4)))))) +(((*1 *1 *1 *1) (-4 *1 (-113))) ((*1 *1 *1 *1) (-5 *1 (-880)))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *4 (-112)) (-4 *6 (-13 (-465) (-1063 (-577)) (-654 (-577)))) + (-4 *3 (-13 (-27) (-1227) (-443 *6) (-10 -8 (-15 -3603 ($ *7))))) + (-4 *7 (-864)) + (-4 *8 + (-13 (-1270 *3 *7) (-375) (-1227) + (-10 -8 (-15 -3362 ($ $)) (-15 -4339 ($ $))))) + (-5 *2 + (-3 (|:| |%series| *8) + (|:| |%problem| (-2 (|:| |func| (-1183)) (|:| |prob| (-1183)))))) + (-5 *1 (-435 *6 *3 *7 *8 *9 *10)) (-5 *5 (-1183)) (-4 *9 (-1008 *8)) + (-14 *10 (-1201))))) +(((*1 *2 *2) + (-12 (-4 *3 (-569)) (-4 *4 (-1017 *3)) (-5 *1 (-143 *3 *4 *2)) + (-4 *2 (-385 *4)))) ((*1 *2 *3) - (-12 (-4 *4 (-1074)) (-5 *2 (-577)) (-5 *1 (-456 *4 *3 *5)) - (-4 *3 (-1268 *4)) - (-4 *5 (-13 (-417) (-1063 *4) (-375) (-1227) (-295)))))) + (-12 (-4 *4 (-569)) (-4 *5 (-1017 *4)) (-4 *2 (-385 *4)) + (-5 *1 (-516 *4 *5 *2 *3)) (-4 *3 (-385 *5)))) + ((*1 *2 *3) + (-12 (-5 *3 (-705 *5)) (-4 *5 (-1017 *4)) (-4 *4 (-569)) + (-5 *2 (-705 *4)) (-5 *1 (-709 *4 *5)))) + ((*1 *2 *2) + (-12 (-4 *3 (-569)) (-4 *4 (-1017 *3)) (-5 *1 (-1261 *3 *4 *2)) + (-4 *2 (-1268 *4))))) +(((*1 *2 *2) (-12 (-5 *2 (-228)) (-5 *1 (-229)))) + ((*1 *2 *2) (-12 (-5 *2 (-171 (-228))) (-5 *1 (-229))))) +(((*1 *2 *1) + (-12 (-5 *2 (-880)) (-5 *1 (-403 *3 *4 *5)) (-14 *3 (-787)) + (-14 *4 (-787)) (-4 *5 (-174))))) (((*1 *1 *1) (-4 *1 (-35))) ((*1 *2 *2) (-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2)) @@ -5307,37 +10297,57 @@ ((*1 *2 *2) (-12 (-5 *2 (-1182 *3)) (-4 *3 (-38 (-420 (-577)))) (-5 *1 (-1187 *3))))) -(((*1 *2 *1 *2) (-12 (-5 *2 (-660 (-1183))) (-5 *1 (-407)))) - ((*1 *2 *1 *2) (-12 (-5 *2 (-660 (-1183))) (-5 *1 (-1222))))) -(((*1 *2 *3 *4) - (-12 (-4 *5 (-375)) - (-5 *2 (-660 (-2 (|:| C (-705 *5)) (|:| |g| (-1292 *5))))) - (-5 *1 (-1003 *5)) (-5 *3 (-705 *5)) (-5 *4 (-1292 *5))))) -(((*1 *1 *2 *3 *4) - (-12 - (-5 *3 - (-660 - (-2 (|:| |scalar| (-420 (-577))) (|:| |coeff| (-1197 *2)) - (|:| |logand| (-1197 *2))))) - (-5 *4 (-660 (-2 (|:| |integrand| *2) (|:| |intvar| *2)))) - (-4 *2 (-375)) (-5 *1 (-599 *2))))) -(((*1 *2 *3) (-12 (-5 *3 (-228)) (-5 *2 (-715)) (-5 *1 (-316))))) -(((*1 *2) - (-12 (-4 *3 (-569)) (-5 *2 (-660 *4)) (-5 *1 (-43 *3 *4)) - (-4 *4 (-430 *3))))) -(((*1 *2 *1) - (-12 (-4 *1 (-1128 *3 *4 *5 *6 *7)) (-4 *3 (-1125)) (-4 *4 (-1125)) - (-4 *5 (-1125)) (-4 *6 (-1125)) (-4 *7 (-1125)) (-5 *2 (-112))))) -(((*1 *2 *3 *3 *3 *4 *3 *3 *4 *4 *4 *5) - (-12 (-5 *3 (-228)) (-5 *4 (-577)) - (-5 *5 (-3 (|:| |fn| (-401)) (|:| |fp| (-64 G)))) (-5 *2 (-1060)) - (-5 *1 (-764))))) (((*1 *1 *1 *2) - (-12 (-5 *2 (-660 (-52))) (-5 *1 (-911 *3)) (-4 *3 (-1125))))) + (-12 (-5 *2 (-577)) (-4 *1 (-1118 *3)) (-4 *3 (-1242))))) +(((*1 *2 *3 *4 *5 *4) + (-12 (-5 *3 (-705 (-228))) (-5 *4 (-577)) (-5 *5 (-112)) + (-5 *2 (-1060)) (-5 *1 (-761))))) +(((*1 *2 *3 *4 *4 *4) + (-12 (-5 *3 (-660 *8)) (-5 *4 (-112)) (-4 *8 (-1090 *5 *6 *7)) + (-4 *5 (-465)) (-4 *6 (-809)) (-4 *7 (-865)) + (-5 *2 (-660 (-1052 *5 *6 *7 *8))) (-5 *1 (-1052 *5 *6 *7 *8)))) + ((*1 *2 *3 *4 *4 *4) + (-12 (-5 *3 (-660 *8)) (-5 *4 (-112)) (-4 *8 (-1090 *5 *6 *7)) + (-4 *5 (-465)) (-4 *6 (-809)) (-4 *7 (-865)) + (-5 *2 (-660 (-1171 *5 *6 *7 *8))) (-5 *1 (-1171 *5 *6 *7 *8))))) +(((*1 *1 *1) + (-12 (-5 *1 (-608 *2)) (-4 *2 (-38 (-420 (-577)))) (-4 *2 (-1074))))) (((*1 *2 *3) - (-12 (-4 *4 (-1074)) (-5 *2 (-577)) (-5 *1 (-456 *4 *3 *5)) - (-4 *3 (-1268 *4)) - (-4 *5 (-13 (-417) (-1063 *4) (-375) (-1227) (-295)))))) + (-12 (-5 *3 (-1197 *4)) (-4 *4 (-361)) + (-5 *2 (-1292 (-660 (-2 (|:| -3145 *4) (|:| -3251 (-1145)))))) + (-5 *1 (-358 *4))))) +(((*1 *1 *2 *3) (-12 (-5 *2 (-1197 *1)) (-5 *3 (-1201)) (-4 *1 (-27)))) + ((*1 *1 *2) (-12 (-5 *2 (-1197 *1)) (-4 *1 (-27)))) + ((*1 *1 *2) (-12 (-5 *2 (-975 *1)) (-4 *1 (-27)))) + ((*1 *1 *1 *2) (-12 (-5 *2 (-1201)) (-4 *1 (-29 *3)) (-4 *3 (-569)))) + ((*1 *1 *1) (-12 (-4 *1 (-29 *2)) (-4 *2 (-569))))) +(((*1 *2 *1) (-12 (-4 *1 (-379 *2)) (-4 *2 (-174))))) +(((*1 *1 *1 *1) (-4 *1 (-113))) ((*1 *1 *1 *1) (-5 *1 (-880)))) +(((*1 *2 *3) (-12 (-5 *3 (-1201)) (-5 *2 (-1297)) (-5 *1 (-1204))))) +(((*1 *1 *1 *1 *2) + (-12 (-4 *1 (-972 *3 *4 *2)) (-4 *3 (-1074)) (-4 *4 (-809)) + (-4 *2 (-865)) (-4 *3 (-174)))) + ((*1 *2 *3 *3) + (-12 (-4 *2 (-569)) (-5 *1 (-994 *2 *3)) (-4 *3 (-1268 *2)))) + ((*1 *1 *1 *1) + (-12 (-4 *1 (-1090 *2 *3 *4)) (-4 *2 (-1074)) (-4 *3 (-809)) + (-4 *4 (-865)) (-4 *2 (-569)))) + ((*1 *2 *1 *1) + (-12 (-4 *1 (-1268 *2)) (-4 *2 (-1074)) (-4 *2 (-174))))) +(((*1 *2 *1) (-12 (-5 *2 (-1143)) (-5 *1 (-221)))) + ((*1 *2 *1) (-12 (-5 *2 (-1143)) (-5 *1 (-452)))) + ((*1 *2 *1) (-12 (-5 *2 (-1143)) (-5 *1 (-854)))) + ((*1 *2 *1) (-12 (-5 *2 (-1143)) (-5 *1 (-1140)))) + ((*1 *1 *2 *3) + (-12 (-5 *2 (-660 (-1206))) (-5 *3 (-1206)) (-5 *1 (-1143))))) +(((*1 *2 *3) + (-12 (-4 *4 (-38 (-420 (-577)))) + (-5 *2 (-2 (|:| -2616 (-1182 *4)) (|:| -2631 (-1182 *4)))) + (-5 *1 (-1187 *4)) (-5 *3 (-1182 *4))))) +(((*1 *2 *2) + (-12 (-5 *2 (-660 *6)) (-4 *6 (-1090 *3 *4 *5)) (-4 *3 (-148)) + (-4 *3 (-318)) (-4 *3 (-569)) (-4 *4 (-809)) (-4 *5 (-865)) + (-5 *1 (-1002 *3 *4 *5 *6))))) (((*1 *1 *1) (-4 *1 (-35))) ((*1 *2 *2) (-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2)) @@ -5354,37 +10364,87 @@ ((*1 *2 *2) (-12 (-5 *2 (-1182 *3)) (-4 *3 (-38 (-420 (-577)))) (-5 *1 (-1187 *3))))) -(((*1 *2 *2) (-12 (-5 *2 (-1183)) (-5 *1 (-1220))))) -(((*1 *1 *2 *2 *3) (-12 (-5 *2 (-577)) (-5 *3 (-944)) (-5 *1 (-715)))) - ((*1 *2 *2 *2 *3 *4) - (-12 (-5 *2 (-705 *5)) (-5 *3 (-99 *5)) (-5 *4 (-1 *5 *5)) - (-4 *5 (-375)) (-5 *1 (-1003 *5))))) -(((*1 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*3 (-577)) (-5 *4 (-705 (-228))) (-5 *5 (-228)) + (-5 *2 (-1060)) (-5 *1 (-767))))) +(((*1 *2 *3) + (-12 (-5 *3 (-1292 *4)) (-4 *4 (-361)) (-5 *2 (-1197 *4)) + (-5 *1 (-541 *4))))) +(((*1 *2 *3) + (-12 (-5 *3 (-660 (-577))) (-5 *2 (-927 (-577))) (-5 *1 (-940)))) + ((*1 *2) (-12 (-5 *2 (-927 (-577))) (-5 *1 (-940))))) +(((*1 *2 *3) + (-12 + (-5 *3 + (-2 (|:| |var| (-1201)) (|:| |fn| (-327 (-228))) + (|:| -1817 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) + (|:| |relerr| (-228)))) + (-5 *2 (-577)) (-5 *1 (-206))))) +(((*1 *2 *2 *3) + (-12 (-5 *2 (-1292 *4)) (-5 *3 (-577)) (-4 *4 (-361)) + (-5 *1 (-541 *4))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-290))))) +(((*1 *2 *1 *2) (-12 (-5 *2 (-577)) (-5 *1 (-373 *3)) (-4 *3 (-1125)))) + ((*1 *2 *1 *3) + (-12 (-5 *3 (-577)) (-4 *1 (-398 *4)) (-4 *4 (-1125)) (-5 *2 (-787)))) + ((*1 *2 *1 *3) + (-12 (-5 *3 (-577)) (-4 *2 (-23)) (-5 *1 (-665 *4 *2 *5)) + (-4 *4 (-1125)) (-14 *5 *2)))) +(((*1 *2 *3) + (-12 (-4 *4 (-569)) (-5 *2 (-660 *3)) (-5 *1 (-43 *4 *3)) + (-4 *3 (-430 *4))))) +(((*1 *1 *1 *1 *1) (-4 *1 (-558)))) (((*1 *2 *2) (-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2)) (-4 *2 (-13 (-443 *3) (-1027))))) @@ -5585,54 +10605,62 @@ ((*1 *2 *2) (-12 (-5 *2 (-1182 *3)) (-4 *3 (-38 (-420 (-577)))) (-5 *1 (-1187 *3))))) -(((*1 *2 *1 *1) (-12 (-4 *1 (-1169)) (-5 *2 (-112))))) -(((*1 *2 *2) - (-12 (-5 *2 (-660 *6)) (-4 *6 (-1090 *3 *4 *5)) (-4 *3 (-148)) - (-4 *3 (-318)) (-4 *3 (-569)) (-4 *4 (-809)) (-4 *5 (-865)) - (-5 *1 (-1002 *3 *4 *5 *6))))) -(((*1 *2 *1) (-12 (-4 *1 (-262 *3)) (-4 *3 (-1242)) (-5 *2 (-787)))) - ((*1 *2 *1) (-12 (-4 *1 (-313)) (-5 *2 (-787)))) - ((*1 *2 *3) - (-12 (-4 *4 (-1074)) - (-4 *2 (-13 (-417) (-1063 *4) (-375) (-1227) (-295))) - (-5 *1 (-456 *4 *3 *2)) (-4 *3 (-1268 *4)))) - ((*1 *2 *1) (-12 (-5 *2 (-787)) (-5 *1 (-625 *3)) (-4 *3 (-1125)))) - ((*1 *2) (-12 (-5 *2 (-577)) (-5 *1 (-880)))) - ((*1 *2 *1) (-12 (-5 *2 (-577)) (-5 *1 (-880))))) -(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-599 *3)) (-4 *3 (-375))))) (((*1 *2 *3) - (-12 (-5 *3 (-1292 (-327 (-228)))) - (-5 *2 - (-2 (|:| |additions| (-577)) (|:| |multiplications| (-577)) - (|:| |exponentiations| (-577)) (|:| |functionCalls| (-577)))) - (-5 *1 (-316))))) + (-12 (-4 *4 (-569)) (-4 *5 (-809)) (-4 *6 (-865)) + (-4 *7 (-1090 *4 *5 *6)) + (-5 *2 (-2 (|:| |goodPols| (-660 *7)) (|:| |badPols| (-660 *7)))) + (-5 *1 (-1002 *4 *5 *6 *7)) (-5 *3 (-660 *7))))) (((*1 *2 *3) - (-12 (-4 *4 (-569)) (-5 *2 (-660 *3)) (-5 *1 (-43 *4 *3)) - (-4 *3 (-430 *4))))) + (-12 (-5 *3 (-1167 *4 *2)) (-14 *4 (-944)) + (-4 *2 (-13 (-1074) (-10 -7 (-6 (-4472 "*"))))) + (-5 *1 (-925 *4 *2))))) +(((*1 *2 *3) + (|partial| -12 + (-5 *3 + (-2 (|:| |var| (-1201)) (|:| |fn| (-327 (-228))) + (|:| -1817 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) + (|:| |relerr| (-228)))) + (-5 *2 + (-2 + (|:| |endPointContinuity| + (-3 (|:| |continuous| "Continuous at the end points") + (|:| |lowerSingular| + "There is a singularity at the lower end point") + (|:| |upperSingular| + "There is a singularity at the upper end point") + (|:| |bothSingular| + "There are singularities at both end points") + (|:| |notEvaluated| + "End point continuity not yet evaluated"))) + (|:| |singularitiesStream| + (-3 (|:| |str| (-1182 (-228))) + (|:| |notEvaluated| + "Internal singularities not yet evaluated"))) + (|:| -1817 + (-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 (-572))))) +(((*1 *2 *1 *3) (-12 (-5 *3 (-1183)) (-5 *2 (-1297)) (-5 *1 (-1294))))) +(((*1 *2 *1 *3) + (-12 (-5 *3 (-966 (-228))) (-5 *2 (-1297)) (-5 *1 (-481))))) +(((*1 *2 *2) (-12 (-5 *2 (-577)) (-5 *1 (-265))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-173))))) +(((*1 *2 *2) (-12 (-5 *2 (-391)) (-5 *1 (-1294)))) + ((*1 *2) (-12 (-5 *2 (-391)) (-5 *1 (-1294))))) +(((*1 *2 *1) + (-12 (-4 *1 (-261 *3 *4 *2 *5)) (-4 *3 (-1074)) (-4 *4 (-865)) + (-4 *5 (-809)) (-4 *2 (-276 *4))))) (((*1 *1 *1 *2 *2) (|partial| -12 (-5 *2 (-944)) (-5 *1 (-1126 *3 *4)) (-14 *3 *2) (-14 *4 *2)))) -(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *5) - (-12 (-5 *3 (-228)) (-5 *4 (-577)) - (-5 *5 (-3 (|:| |fn| (-401)) (|:| |fp| (-64 -2191)))) - (-5 *2 (-1060)) (-5 *1 (-764))))) -(((*1 *2 *1) - (-12 (-5 *2 (-2 (|:| |var| (-660 (-1201))) (|:| |pred| (-52)))) - (-5 *1 (-911 *3)) (-4 *3 (-1125))))) -(((*1 *2 *2) - (-12 (-5 *2 (-112)) (-5 *1 (-455 *3)) (-4 *3 (-1268 (-577)))))) (((*1 *2 *3) - (-12 (-4 *4 (-1017 *2)) (-4 *2 (-569)) (-5 *1 (-143 *2 *4 *3)) - (-4 *3 (-385 *4)))) - ((*1 *2 *3) - (-12 (-4 *4 (-1017 *2)) (-4 *2 (-569)) (-5 *1 (-516 *2 *4 *5 *3)) - (-4 *5 (-385 *2)) (-4 *3 (-385 *4)))) - ((*1 *2 *3) - (-12 (-5 *3 (-705 *4)) (-4 *4 (-1017 *2)) (-4 *2 (-569)) - (-5 *1 (-709 *2 *4)))) - ((*1 *2 *3) - (-12 (-4 *4 (-1017 *2)) (-4 *2 (-569)) (-5 *1 (-1261 *2 *4 *3)) - (-4 *3 (-1268 *4))))) + (-12 (-4 *4 (-361)) (-5 *2 (-981 (-1197 *4))) (-5 *1 (-369 *4)) + (-5 *3 (-1197 *4))))) +(((*1 *2 *2) (-12 (-5 *2 (-660 (-327 (-228)))) (-5 *1 (-277))))) (((*1 *2 *2) (-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2)) (-4 *2 (-13 (-443 *3) (-1027))))) @@ -5652,44 +10680,69 @@ ((*1 *2 *2) (-12 (-5 *2 (-1182 *3)) (-4 *3 (-38 (-420 (-577)))) (-5 *1 (-1187 *3))))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *4 (-1 *7 *7)) + (-5 *5 (-1 (-3 (-660 *6) "failed") (-577) *6 *6)) (-4 *6 (-375)) + (-4 *7 (-1268 *6)) + (-5 *2 (-2 (|:| |answer| (-599 (-420 *7))) (|:| |a0| *6))) + (-5 *1 (-587 *6 *7)) (-5 *3 (-420 *7))))) +(((*1 *2 *1 *2) + (-12 (|has| *1 (-6 -4471)) (-4 *1 (-1280 *2)) (-4 *2 (-1242))))) (((*1 *2 *2) - (-12 (-5 *2 (-660 *6)) (-4 *6 (-1090 *3 *4 *5)) (-4 *3 (-148)) - (-4 *3 (-318)) (-4 *3 (-569)) (-4 *4 (-809)) (-4 *5 (-865)) - (-5 *1 (-1002 *3 *4 *5 *6))))) -(((*1 *2 *3) (-12 (-5 *3 (-1183)) (-5 *2 (-1297)) (-5 *1 (-595))))) -(((*1 *2 *3) (-12 - (-5 *3 - (-2 (|:| |lfn| (-660 (-327 (-228)))) (|:| -1550 (-660 (-228))))) - (-5 *2 (-391)) (-5 *1 (-277)))) - ((*1 *2 *3) - (-12 (-5 *3 (-1292 (-327 (-228)))) (-5 *2 (-391)) (-5 *1 (-316))))) -(((*1 *2 *3) - (-12 (-4 *4 (-569)) (-5 *2 (-660 *3)) (-5 *1 (-43 *4 *3)) - (-4 *3 (-430 *4))))) -(((*1 *2 *1) (-12 (-5 *2 (-660 (-1160))) (-5 *1 (-687)))) - ((*1 *2 *1) - (-12 (-5 *2 (-660 (-944))) (-5 *1 (-1126 *3 *4)) (-14 *3 (-944)) - (-14 *4 (-944))))) -(((*1 *2 *3 *3 *4 *3) - (-12 (-5 *3 (-577)) (-5 *4 (-705 (-228))) (-5 *2 (-1060)) - (-5 *1 (-763))))) -(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-911 *3)) (-4 *3 (-1125))))) -(((*1 *2) - (-12 (-5 *2 (-112)) (-5 *1 (-455 *3)) (-4 *3 (-1268 (-577)))))) -(((*1 *1 *1 *2 *3 *1) - (-12 (-5 *2 (-787)) (-5 *1 (-798 *3)) (-4 *3 (-1074)))) - ((*1 *1 *1 *2 *3 *1) - (-12 (-5 *1 (-986 *3 *2)) (-4 *2 (-132)) (-4 *3 (-569)) - (-4 *3 (-1074)) (-4 *2 (-808)))) - ((*1 *1 *1 *2 *3 *1) - (-12 (-5 *2 (-787)) (-5 *1 (-1197 *3)) (-4 *3 (-1074)))) - ((*1 *1 *1 *2 *3 *1) - (-12 (-5 *2 (-996)) (-4 *2 (-132)) (-5 *1 (-1203 *3)) (-4 *3 (-569)) - (-4 *3 (-1074)))) - ((*1 *1 *1 *2 *3 *1) - (-12 (-5 *2 (-787)) (-5 *1 (-1265 *4 *3)) (-14 *4 (-1201)) - (-4 *3 (-1074))))) + (-5 *2 + (-660 + (-2 (|:| |lcmfij| *4) (|:| |totdeg| (-787)) (|:| |poli| *6) + (|:| |polj| *6)))) + (-4 *4 (-809)) (-4 *6 (-972 *3 *4 *5)) (-4 *3 (-465)) (-4 *5 (-865)) + (-5 *1 (-462 *3 *4 *5 *6))))) +(((*1 *2 *1 *1) + (|partial| -12 (-4 *1 (-1090 *3 *4 *5)) (-4 *3 (-1074)) + (-4 *4 (-809)) (-4 *5 (-865)) (-5 *2 (-112))))) +(((*1 *2 *1) (-12 (-4 *1 (-187)) (-5 *2 (-660 (-112)))))) +(((*1 *2 *2 *1) + (-12 (-5 *2 (-1316 *3 *4)) (-4 *1 (-386 *3 *4)) (-4 *3 (-865)) + (-4 *4 (-174)))) + ((*1 *1 *1 *1) (|partial| -12 (-4 *1 (-398 *2)) (-4 *2 (-1125)))) + ((*1 *1 *1 *2) (|partial| -12 (-5 *1 (-835 *2)) (-4 *2 (-865)))) + ((*1 *1 *1 *1) + (-12 (-4 *1 (-1309 *2 *3)) (-4 *2 (-865)) (-4 *3 (-1074)))) + ((*1 *1 *1 *2) + (-12 (-5 *2 (-835 *3)) (-4 *1 (-1309 *3 *4)) (-4 *3 (-865)) + (-4 *4 (-1074)))) + ((*1 *1 *1 *2) + (-12 (-4 *1 (-1309 *2 *3)) (-4 *2 (-865)) (-4 *3 (-1074))))) +(((*1 *1 *2 *3) (-12 (-5 *2 (-1197 *1)) (-5 *3 (-1201)) (-4 *1 (-27)))) + ((*1 *1 *2) (-12 (-5 *2 (-1197 *1)) (-4 *1 (-27)))) + ((*1 *1 *2) (-12 (-5 *2 (-975 *1)) (-4 *1 (-27)))) + ((*1 *1 *1 *2) (-12 (-5 *2 (-1201)) (-4 *1 (-29 *3)) (-4 *3 (-569)))) + ((*1 *1 *1) (-12 (-4 *1 (-29 *2)) (-4 *2 (-569)))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-1197 *2)) (-5 *4 (-1201)) (-4 *2 (-443 *5)) + (-5 *1 (-32 *5 *2)) (-4 *5 (-569)))) + ((*1 *1 *2 *3) + (|partial| -12 (-5 *2 (-1197 *1)) (-5 *3 (-944)) (-4 *1 (-1037)))) + ((*1 *1 *2 *3 *4) + (|partial| -12 (-5 *2 (-1197 *1)) (-5 *3 (-944)) (-5 *4 (-880)) + (-4 *1 (-1037)))) + ((*1 *1 *2 *3) + (|partial| -12 (-5 *3 (-944)) (-4 *4 (-13 (-864) (-375))) + (-4 *1 (-1093 *4 *2)) (-4 *2 (-1268 *4))))) +(((*1 *1 *1 *2) + (-12 (-5 *1 (-1165 *3 *2)) (-4 *3 (-13 (-1125) (-34))) + (-4 *2 (-13 (-1125) (-34)))))) +(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *5) + (-12 (-5 *3 (-228)) (-5 *4 (-577)) + (-5 *5 (-3 (|:| |fn| (-401)) (|:| |fp| (-64 -1985)))) + (-5 *2 (-1060)) (-5 *1 (-764))))) +(((*1 *2 *1 *1) + (-12 (-4 *1 (-244 *3 *2)) (-4 *2 (-1242)) (-4 *2 (-1074)))) + ((*1 *1 *1 *2) (-12 (-5 *2 (-787)) (-5 *1 (-880)))) + ((*1 *1 *1) (-5 *1 (-880))) + ((*1 *2 *3 *3) + (-12 (-5 *3 (-966 (-228))) (-5 *2 (-228)) (-5 *1 (-1238)))) + ((*1 *2 *1 *1) + (-12 (-4 *1 (-1290 *2)) (-4 *2 (-1242)) (-4 *2 (-1074))))) (((*1 *2 *2) (-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2)) (-4 *2 (-13 (-443 *3) (-1027))))) @@ -5709,32 +10762,53 @@ ((*1 *2 *2) (-12 (-5 *2 (-1182 *3)) (-4 *3 (-38 (-420 (-577)))) (-5 *1 (-1187 *3))))) -(((*1 *2 *1 *1 *3) (-12 (-4 *1 (-1169)) (-5 *3 (-577)) (-5 *2 (-112))))) -(((*1 *2 *2 *2) - (-12 (-5 *2 (-660 *6)) (-4 *6 (-1090 *3 *4 *5)) (-4 *3 (-465)) - (-4 *3 (-569)) (-4 *4 (-809)) (-4 *5 (-865)) - (-5 *1 (-1002 *3 *4 *5 *6))))) -(((*1 *1 *1 *1 *2) - (-12 (-5 *2 (-577)) (-4 *1 (-667 *3)) (-4 *3 (-1242)))) - ((*1 *1 *2 *1 *3) - (-12 (-5 *3 (-577)) (-4 *1 (-667 *2)) (-4 *2 (-1242))))) -(((*1 *1 *2) (-12 (-5 *2 (-1183)) (-5 *1 (-592))))) -(((*1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-775))))) +(((*1 *2 *1 *3 *3) + (-12 (-5 *3 (-944)) (-5 *2 (-787)) (-5 *1 (-1126 *4 *5)) (-14 *4 *3) + (-14 *5 *3)))) +(((*1 *2 *3) + (-12 (-5 *3 (-625 *5)) (-4 *5 (-443 *4)) (-4 *4 (-1063 (-577))) + (-4 *4 (-569)) (-5 *2 (-1197 *5)) (-5 *1 (-32 *4 *5)))) + ((*1 *2 *3) + (-12 (-5 *3 (-625 *1)) (-4 *1 (-1074)) (-4 *1 (-313)) + (-5 *2 (-1197 *1))))) (((*1 *2 *2) - (-12 - (-5 *2 - (-517 (-420 (-577)) (-246 *4 (-787)) (-882 *3) - (-254 *3 (-420 (-577))))) - (-14 *3 (-660 (-1201))) (-14 *4 (-787)) (-5 *1 (-518 *3 *4))))) -(((*1 *2 *3) (-12 (-5 *3 (-327 (-228))) (-5 *2 (-228)) (-5 *1 (-316))))) + (-12 (-4 *3 (-465)) (-5 *1 (-1233 *3 *2)) + (-4 *2 (-13 (-443 *3) (-1227)))))) +(((*1 *2 *1) + (-12 (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1242)) (-4 *4 (-385 *3)) + (-4 *5 (-385 *3)) (-5 *2 (-577)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1078 *3 *4 *5 *6 *7)) (-4 *5 (-1074)) + (-4 *6 (-244 *4 *5)) (-4 *7 (-244 *3 *5)) (-5 *2 (-577))))) +(((*1 *2 *1) + (-12 (-5 *2 (-660 (-660 (-966 (-228))))) (-5 *1 (-1237 *3)) + (-4 *3 (-999))))) +(((*1 *2 *3 *4) + (-12 (-5 *4 (-1201)) (-5 *2 (-1 (-228) (-228))) (-5 *1 (-719 *3)) + (-4 *3 (-627 (-549))))) + ((*1 *2 *3 *4 *4) + (-12 (-5 *4 (-1201)) (-5 *2 (-1 (-228) (-228) (-228))) + (-5 *1 (-719 *3)) (-4 *3 (-627 (-549)))))) (((*1 *2) - (-12 (-4 *3 (-569)) (-5 *2 (-660 *4)) (-5 *1 (-43 *3 *4)) - (-4 *4 (-430 *3))))) -(((*1 *1 *1) (-12 (-5 *1 (-911 *2)) (-4 *2 (-1125))))) -(((*1 *1 *1) (-4 *1 (-558)))) -(((*1 *2 *3) - (-12 (-5 *2 (-112)) (-5 *1 (-455 *3)) (-4 *3 (-1268 (-577)))))) -(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-1259 *3)) (-4 *3 (-1242))))) + (-12 (-5 *2 (-1292 (-1126 *3 *4))) (-5 *1 (-1126 *3 *4)) + (-14 *3 (-944)) (-14 *4 (-944))))) +(((*1 *2 *1) (-12 (-5 *2 (-1297)) (-5 *1 (-255))))) +(((*1 *1 *2) (-12 (-5 *2 (-787)) (-5 *1 (-130))))) +(((*1 *2 *1) + (-12 (-4 *3 (-1074)) (-5 *2 (-1292 *3)) (-5 *1 (-728 *3 *4)) + (-4 *4 (-1268 *3))))) +(((*1 *2 *3 *4) + (|partial| -12 (-5 *3 (-660 (-271))) (-5 *4 (-1201)) + (-5 *1 (-270 *2)) (-4 *2 (-1242)))) + ((*1 *2 *3 *4) + (|partial| -12 (-5 *3 (-660 (-271))) (-5 *4 (-1201)) (-5 *2 (-52)) + (-5 *1 (-271))))) +(((*1 *2 *1) + (-12 (-5 *2 (-2 (|:| |var| (-660 (-1201))) (|:| |pred| (-52)))) + (-5 *1 (-911 *3)) (-4 *3 (-1125))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-228)) (-5 *4 (-577)) (-5 *2 (-1060)) (-5 *1 (-774))))) +(((*1 *1 *1) (-5 *1 (-1088)))) (((*1 *2 *2) (-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2)) (-4 *2 (-13 (-443 *3) (-1027))))) @@ -5754,160 +10828,114 @@ ((*1 *2 *2) (-12 (-5 *2 (-1182 *3)) (-4 *3 (-38 (-420 (-577)))) (-5 *1 (-1187 *3))))) -(((*1 *2 *2 *2) - (-12 (-5 *2 (-660 *6)) (-4 *6 (-1090 *3 *4 *5)) (-4 *3 (-465)) - (-4 *3 (-569)) (-4 *4 (-809)) (-4 *5 (-865)) - (-5 *1 (-1002 *3 *4 *5 *6))))) -(((*1 *2 *1) (-12 (-5 *2 (-215 4 (-130))) (-5 *1 (-592))))) (((*1 *2 *3) - (-12 (-5 *3 (-327 (-228))) (-5 *2 (-420 (-577))) (-5 *1 (-316))))) -(((*1 *2 *3) (-12 (-5 *2 (-391)) (-5 *1 (-801 *3)) (-4 *3 (-627 *2)))) - ((*1 *2 *3 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(-805)) (-5 *5 (-577))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) (-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2)) @@ -6124,37 +11191,36 @@ ((*1 *2 *2) (-12 (-5 *2 (-1182 *3)) (-4 *3 (-38 (-420 (-577)))) (-5 *1 (-1187 *3))))) -(((*1 *2 *1) (-12 (-5 *1 (-1051 *2)) (-4 *2 (-1242))))) (((*1 *2 *3) - (-12 (-5 *3 (-254 *4 *5)) (-14 *4 (-660 (-1201))) (-4 *5 (-465)) - (-5 *2 (-494 *4 *5)) (-5 *1 (-644 *4 *5))))) -(((*1 *2 *3) (-12 (-5 *3 (-391)) (-5 *2 (-228)) (-5 *1 (-316))))) -(((*1 *2 *2) - (-12 (-4 *3 (-13 (-465) (-1063 (-577)))) (-4 *3 (-569)) - (-5 *1 (-41 *3 *2)) (-4 *2 (-443 *3)) - (-4 *2 - (-13 (-375) (-313) - (-10 -8 (-15 -1365 ((-1150 *3 (-625 $)) $)) - (-15 -1374 ((-1150 *3 (-625 $)) $)) - (-15 -4106 ($ (-1150 *3 (-625 $)))))))))) -(((*1 *2 *1) (-12 (-4 *1 (-1159 *3)) (-4 *3 (-1074)) (-5 *2 (-112))))) -(((*1 *2 *3 *3 *3 *4) - (-12 (-5 *3 (-228)) (-5 *4 (-577)) (-5 *2 (-1060)) (-5 *1 (-774))))) -(((*1 *1 *2 *3 *1) - (-12 (-5 *2 (-911 *4)) (-4 *4 (-1125)) (-5 *1 (-908 *4 *3)) + (-12 (-4 *4 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(-1060)) + (-5 *1 (-763))))) +(((*1 *2 *2) (-12 (-5 *2 (-1197 *3)) (-4 *3 (-361)) (-5 *1 (-369 *3))))) +(((*1 *2 *2) (-12 (-5 *2 (-660 (-327 (-228)))) (-5 *1 (-277))))) (((*1 *2 *2) (-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2)) (-4 *2 (-13 (-443 *3) (-1027))))) @@ -6288,50 +11361,40 @@ (-12 (-5 *2 (-1182 *3)) (-4 *3 (-38 (-420 (-577)))) (-5 *1 (-1187 *3)))) ((*1 *1 *1) (-4 *1 (-1230)))) -(((*1 *1 *2 *3) - (-12 (-5 *2 (-1086 (-1049 *4) (-1197 (-1049 *4)))) (-5 *3 (-880)) - (-5 *1 (-1049 *4)) (-4 *4 (-13 (-864) (-375) (-1047)))))) -(((*1 *2 *3 *2 *4) - (-12 (-5 *3 (-660 *6)) (-5 *4 (-660 (-254 *5 *6))) (-4 *6 (-465)) - (-5 *2 (-254 *5 *6)) (-14 *5 (-660 (-1201))) (-5 *1 (-644 *5 *6))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-1197 *1)) (-5 *4 (-1201)) (-4 *1 (-27)) - (-5 *2 (-660 *1)))) - ((*1 *2 *3) (-12 (-5 *3 (-1197 *1)) (-4 *1 (-27)) (-5 *2 (-660 *1)))) - ((*1 *2 *3) (-12 (-5 *3 (-975 *1)) (-4 *1 (-27)) (-5 *2 (-660 *1)))) - ((*1 *2 *1 *3) - (-12 (-5 *3 (-1201)) (-4 *4 (-569)) (-5 *2 (-660 *1)) 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(-928 *4)) (-4 *4 (-1125)) (-5 *2 (-112)) + (-5 *1 (-927 *4)))) + ((*1 *2 *3 *1) + (-12 (-5 *3 (-944)) (-5 *2 (-112)) (-5 *1 (-1126 *4 *5)) (-14 *4 *3) + (-14 *5 *3)))) +(((*1 *1 *2) + (-12 (-5 *2 (-1292 *3)) (-4 *3 (-1074)) (-5 *1 (-728 *3 *4)) + (-4 *4 (-1268 *3))))) +(((*1 *1 *1 *2) + (-12 (-5 *2 (-112)) (-5 *1 (-1165 *3 *4)) (-4 *3 (-13 (-1125) (-34))) + (-4 *4 (-13 (-1125) (-34)))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-911 *3)) (-4 *3 (-1125))))) +(((*1 *1 *1 *1) (-12 (-4 *1 (-1005 *2)) (-4 *2 (-1074)))) + ((*1 *2 *2 *2) (-12 (-5 *2 (-966 (-228))) (-5 *1 (-1238)))) + ((*1 *1 *1 *1) + (-12 (-4 *1 (-1290 *2)) (-4 *2 (-1242)) (-4 *2 (-1074))))) (((*1 *2 *2) (-12 (-4 *3 (-569)) (-5 *1 (-286 *3 *2)) (-4 *2 (-13 (-443 *3) (-1027))))) @@ -6348,70 +11411,29 @@ (-12 (-5 *2 (-1182 *3)) (-4 *3 (-38 (-420 (-577)))) (-5 *1 (-1187 *3)))) ((*1 *1 *1) (-4 *1 (-1230)))) -(((*1 *2 *1) - (|partial| -12 (-5 *2 (-1086 (-1049 *3) (-1197 (-1049 *3)))) - (-5 *1 (-1049 *3)) (-4 *3 (-13 (-864) 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((*1 *2 *3 *4) (|partial| -12 (-5 *3 (-1 *6 *5)) - (-5 *4 (-3 (-2 (|:| -3522 *5) (|:| |coeff| *5)) "failed")) + (-5 *4 (-3 (-2 (|:| -1768 *5) (|:| |coeff| *5)) "failed")) (-4 *5 (-375)) (-4 *6 (-375)) - (-5 *2 (-2 (|:| -3522 *6) (|:| |coeff| *6))) + (-5 *2 (-2 (|:| -1768 *6) (|:| |coeff| *6))) (-5 *1 (-597 *5 *6)))) ((*1 *2 *3 *4) (|partial| -12 (-5 *3 (-1 *2 *5)) (-5 *4 (-3 *5 "failed")) @@ -11186,7 +13538,7 @@ (-4 *8 (-1074)) (-4 *6 (-809)) (-4 *2 (-13 (-1125) - (-10 -8 (-15 -4007 ($ $ $)) (-15 * ($ $ $)) (-15 ** ($ $ (-787)))))) + (-10 -8 (-15 -3032 ($ $ $)) (-15 * ($ $ $)) (-15 ** ($ $ (-787)))))) (-5 *1 (-974 *6 *7 *8 *5 *2)) (-4 *5 (-972 *8 *6 *7)))) ((*1 *2 *3 *4) (-12 (-5 *3 (-1 *6 *5)) (-5 *4 (-981 *5)) (-4 *5 (-1242)) @@ -11202,8 +13554,8 @@ (-4 *2 (-972 (-975 *4) *5 *6)) (-4 *5 (-809)) (-4 *6 (-13 (-865) - (-10 -8 (-15 -2157 ((-1201) $)) - (-15 -4198 ((-3 $ "failed") (-1201)))))) + (-10 -8 (-15 -2175 ((-1201) $)) + (-15 -3052 ((-3 $ "failed") (-1201)))))) (-5 *1 (-1009 *4 *5 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*4 (-1242)) (-5 *2 (-112))))) +(((*1 *2 *3 *4 *4) + (-12 (-5 *4 (-625 *3)) (-4 *3 (-13 (-443 *5) (-27) (-1227))) + (-4 *5 (-13 (-465) (-1063 (-577)) (-148) (-654 (-577)))) + (-5 *2 (-599 *3)) (-5 *1 (-579 *5 *3 *6)) (-4 *6 (-1125))))) +(((*1 *2 *2) (-12 (-5 *2 (-577)) (-5 *1 (-949))))) +(((*1 *1 *2 *3 *4) + (-12 + (-5 *3 + (-660 + (-2 (|:| |scalar| (-420 (-577))) (|:| |coeff| (-1197 *2)) + (|:| |logand| (-1197 *2))))) + (-5 *4 (-660 (-2 (|:| |integrand| *2) (|:| |intvar| *2)))) + (-4 *2 (-375)) (-5 *1 (-599 *2))))) +(((*1 *1 *1) + (-12 (-4 *1 (-1090 *2 *3 *4)) (-4 *2 (-1074)) (-4 *3 (-809)) + (-4 *4 (-865)) (-4 *2 (-465))))) +(((*1 *2 *2) (|partial| -12 (-4 *1 (-1008 *2)) (-4 *2 (-1227))))) +(((*1 *2 *1) + (-12 (-5 *2 (-1182 (-420 *3))) (-5 *1 (-176 *3)) (-4 *3 (-318))))) +(((*1 *2 *3) + (-12 (-5 *3 (-660 *4)) (-4 *4 (-865)) (-5 *2 (-660 (-680 *4 *5))) + (-5 *1 (-640 *4 *5 *6)) (-4 *5 (-13 (-174) (-733 (-420 (-577))))) + (-14 *6 (-944))))) +(((*1 *2 *3) + (-12 (-5 *3 (-944)) + (-5 *2 + (-3 (-1197 *4) + (-1292 (-660 (-2 (|:| -3145 *4) (|:| -3251 (-1145))))))) + (-5 *1 (-358 *4)) (-4 *4 (-361))))) (((*1 *1 *2 *1) (-12 (-4 *1 (-107 *2)) (-4 *2 (-1242)))) ((*1 *1 *2 *1) (-12 (-5 *1 (-122 *2)) (-4 *2 (-865)))) ((*1 *1 *2 *1) (-12 (-5 *1 (-127 *2)) (-4 *2 (-865)))) @@ -16593,11 +15025,11 @@ (-12 (-5 *2 (-2 - (|:| -2350 + (|:| -4323 (-2 (|:| |var| (-1201)) (|:| |fn| (-327 (-228))) - (|:| -1495 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) + (|:| -1817 (-1119 (-859 (-228)))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))) - (|:| -2911 + (|:| -2438 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") @@ -16613,7 +15045,7 @@ (-3 (|:| |str| (-1182 (-228))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) - (|:| -1495 + (|:| -1817 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") @@ -16628,12 +15060,12 @@ (-12 (-5 *2 (-2 - (|:| -2350 + (|:| -4323 (-2 (|:| |xinit| (-228)) (|:| |xend| (-228)) (|:| |fn| (-1292 (-327 (-228)))) (|:| |yinit| (-660 (-228))) (|:| |intvals| (-660 (-228))) (|:| |g| (-327 (-228))) (|:| |abserr| (-228)) (|:| |relerr| (-228)))) - (|:| -2911 + (|:| -2438 (-2 (|:| |stiffness| (-391)) (|:| |stability| (-391)) (|:| |expense| (-391)) (|:| |accuracy| (-391)) (|:| |intermediateResults| (-391)))))) @@ -16641,9 +15073,36 @@ ((*1 *2 *3 *4) (-12 (-5 *2 (-1297)) (-5 *1 (-1219 *3 *4)) (-4 *3 (-1125)) (-4 *4 (-1125))))) -(((*1 *2 *1) - (-12 (-4 *4 (-1125)) (-5 *2 (-908 *3 *5)) (-5 *1 (-904 *3 *4 *5)) - (-4 *3 (-1125)) (-4 *5 (-682 *4))))) +(((*1 *1 *1) (-4 *1 (-642))) + ((*1 *2 *2) + (-12 (-4 *3 (-569)) (-5 *1 (-643 *3 *2)) + (-4 *2 (-13 (-443 *3) (-1027) (-1227)))))) +(((*1 *2 *1) (-12 (-5 *2 (-302)) (-5 *1 (-291))))) +(((*1 *2 *3) + (-12 + (-5 *3 + (-517 (-420 (-577)) (-246 *5 (-787)) (-882 *4) + (-254 *4 (-420 (-577))))) + (-14 *4 (-660 (-1201))) (-14 *5 (-787)) (-5 *2 (-112)) + (-5 *1 (-518 *4 *5))))) +(((*1 *2 *3) (-12 (-5 *3 (-228)) (-5 *2 (-715)) (-5 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(-4353 . 19826) + (-4354 . 19771) (-4355 . 19540) (-4356 . 19292) (-4357 . 19242) + (-4358 . 19164) (-4359 . 19018) (-4360 . 18795) (-4361 . 18742) + (-4362 . 18690) (-4363 . 18600) (-4364 . 18521) (-4365 . 18443) + (-4366 . 18293) (-4367 . 18220) (-4368 . 18102) (-4369 . 18050) + (-4370 . 17712) (-4371 . 17437) (-4372 . 17370) (-4373 . 17296) + (-4374 . 17123) (-4375 . 17073) (-4376 . 16945) (-4377 . 16851) + (-4378 . 16774) (-4379 . 16487) (-4380 . 16459) (-4381 . 16391) + (-4382 . 16336) (-4383 . 16214) (-4384 . 16129) (-4385 . 15745) + (-4386 . 15711) (-4387 . 15596) (-4388 . 15490) (-4389 . 15437) + (-4390 . 15309) (-4391 . 14980) (-4392 . 14817) (-4393 . 14747) + (-4394 . 14546) (-4395 . 14364) (-4396 . 14278) (-4397 . 14183) + (-4398 . 14065) (-4399 . 13314) (-4400 . 13193) (-4401 . 13078) + (-4402 . 12962) (-4403 . 12903) (-4404 . 12848) (-4405 . 12360) + (-4406 . 12231) (-4407 . 12099) (-4408 . 11946) (-4409 . 11875) + (-4410 . 11757) (-4411 . 11627) (-4412 . 11555) (-4413 . 11385) + (-4414 . 7225) (-4415 . 7119) (-4416 . 7023) (-4417 . 6897) + (-4418 . 6842) (-4419 . 6647) (-4420 . 6569) (-4421 . 6258) + (-4422 . 6128) (-4423 . 5855) (-4424 . 5698) (-4425 . 5538) + (-4426 . 5092) (-4427 . 4958) (-4428 . 4434) (-4429 . 4363) + (-4430 . 4210) (-4431 . 4048) (-4432 . 2867) (-4433 . 2753) + (-4434 . 2665) (-4435 . 2404) (-4436 . 2345) (-4437 . 2123) + (-4438 . 2064) (-4439 . 1902) (-4440 . 1739) (-4441 . 1679) + (-4442 . 1302) (-4443 . 1146) (-4444 . 896) (-4445 . 808) + (-4446 . 663) (-4447 . 489) (-4448 . 249) (-4449 . 154) (-4450 . 30))
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