diff options
Diffstat (limited to 'src')
| -rw-r--r-- | src/ChangeLog | 6 | ||||
| -rw-r--r-- | src/algebra/net.spad.pamphlet | 24 | ||||
| -rw-r--r-- | src/share/algebra/browse.daase | 306 | ||||
| -rw-r--r-- | src/share/algebra/category.daase | 8 | ||||
| -rw-r--r-- | src/share/algebra/compress.daase | 1321 | ||||
| -rw-r--r-- | src/share/algebra/interp.daase | 7226 | ||||
| -rw-r--r-- | src/share/algebra/operation.daase | 25178 |
7 files changed, 17039 insertions, 17030 deletions
diff --git a/src/ChangeLog b/src/ChangeLog index cb93a17d..8b621478 100644 --- a/src/ChangeLog +++ b/src/ChangeLog @@ -1,5 +1,11 @@ 2009-01-06 Gabriel Dos Reis <gdr@cs.tamu.edu> + * algebra/net.spad.pamphlet (resolve$Hostname): Return a Maybe %. + (connectot$NetworkClientSocket): Likewise. + (connectot$InetClientStreamSocket): Likewise. + +2009-01-06 Gabriel Dos Reis <gdr@cs.tamu.edu> + * algebra/any.spad.pamphlet (Maybe): Rework. 2009-01-06 Gabriel Dos Reis <gdr@cs.tamu.edu> diff --git a/src/algebra/net.spad.pamphlet b/src/algebra/net.spad.pamphlet index d2b7cb03..05d15354 100644 --- a/src/algebra/net.spad.pamphlet +++ b/src/algebra/net.spad.pamphlet @@ -300,7 +300,7 @@ IP4Address(): Public == Private where ++ ip4Address(a) builds a numeric address out of the ASCII form `a'. bytes: % -> DataArray(4,Byte) ++ bytes(x) returns the bytes of the numeric address `x'. - resolve: Hostname -> Union(%,"failed") + resolve: Hostname -> Maybe % ++ resolve(h) returns the IP4 address of host `h'. Private == add Rep == DataArray(4,Byte) @@ -310,8 +310,8 @@ IP4Address(): Public == Private where userError "invalid Internet IP4 address" resolve h == n := new()$Rep - hostnameToNumeric(h::String,4,n)$Lisp = 0@SingleInteger => per n - "failed" + hostnameToNumeric(h::String,4,n)$Lisp = 0@SingleInteger => just per n + nothing bytes x == rep x x = y == rep x = rep y coerce(x: %): OutputForm == @@ -325,7 +325,7 @@ IP4Address(): Public == Private where <<category NETCLT NetworkClientSocket>>= )abbrev category NETCLT NetworkClientSocket NetworkClientSocket(T: SetCategory): Category == InputOutputByteConduit with - connectTo: (T, PortNumber) -> Union(%,"failed") + connectTo: (T, PortNumber) -> Maybe % isConnected?: % -> Boolean @ @@ -336,7 +336,7 @@ NetworkClientSocket(T: SetCategory): Category == InputOutputByteConduit with )abbrev domain INETCLTS InetClientStreamSocket InetClientStreamSocket(): Public == Private where Public == Join(NetworkClientSocket IP4Address, CoercibleTo OutputForm) with - connectTo: (Hostname, PortNumber) -> Union(%,"failed") + connectTo: (Hostname, PortNumber) -> Maybe % Private == add -- we hope that a small integer is OK on all platform Host == Union(IP4Address,Hostname) @@ -344,14 +344,14 @@ InetClientStreamSocket(): Public == Private where connectTo(ip: IP4Address, p: PortNumber) == s: SingleInteger := connectToHostAndPort(ip,4,p)$Lisp - s = -1::SingleInteger => "failed" - per [ip::Host,p,s] + s = -1::SingleInteger => nothing + just per [ip::Host,p,s] connectTo(h: Hostname, p: PortNumber) == - (ip := resolve(h)$IP4Address) case "failed" => "failed" - s: SingleInteger := connectToHostAndPort(ip::IP4Address,4,p)$Lisp - s = -1::SingleInteger => "failed" - per [h::Host,p,s] + (ip := resolve(h)$IP4Address) case nothing => nothing + s: SingleInteger := connectToHostAndPort(ip@IP4Address,4,p)$Lisp + s = -1::SingleInteger => nothing + just per [h::Host,p,s] isConnected? s == rep(s).%sock ~= -1::SingleInteger @@ -398,7 +398,7 @@ InetClientStreamSocket(): Public == Private where \section{License} <<license>>= --- Copyright (C) 2007-2008, Gabriel Dos Reis. +-- Copyright (C) 2007-2009, Gabriel Dos Reis. -- All rights reserved. -- -- Redistribution and use in source and binary forms, with or without diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase index 81ffe67b..d3719ea1 100644 --- a/src/share/algebra/browse.daase +++ b/src/share/algebra/browse.daase @@ -1,5 +1,5 @@ -(2276389 . 3440274381) +(2276380 . 3440285145) (-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 -3198) +(-32 R -3199) ((|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 -1028) (QUOTE (-558))))) @@ -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 -3198 UP UPUP -1783) +(-40 -3199 UP UPUP -2522) ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}"))) ((-4376 |has| (-406 |#2|) (-362)) (-4381 |has| (-406 |#2|) (-362)) (-4375 |has| (-406 |#2|) (-362)) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) ((|HasCategory| (-406 |#2|) (QUOTE (-144))) (|HasCategory| (-406 |#2|) (QUOTE (-146))) (|HasCategory| (-406 |#2|) (QUOTE (-348))) (-3996 (|HasCategory| (-406 |#2|) (QUOTE (-362))) (|HasCategory| (-406 |#2|) (QUOTE (-348)))) (|HasCategory| (-406 |#2|) (QUOTE (-362))) (|HasCategory| (-406 |#2|) (QUOTE (-367))) (-3996 (-12 (|HasCategory| (-406 |#2|) (QUOTE (-232))) (|HasCategory| (-406 |#2|) (QUOTE (-362)))) (|HasCategory| (-406 |#2|) (QUOTE (-348)))) (-3996 (-12 (|HasCategory| (-406 |#2|) (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasCategory| (-406 |#2|) (QUOTE (-362)))) (-12 (|HasCategory| (-406 |#2|) (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasCategory| (-406 |#2|) (QUOTE (-348))))) (|HasCategory| (-406 |#2|) (LIST (QUOTE -631) (QUOTE (-558)))) (-3996 (|HasCategory| (-406 |#2|) (LIST (QUOTE -1028) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| (-406 |#2|) (QUOTE (-362)))) (|HasCategory| (-406 |#2|) (LIST (QUOTE -1028) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| (-406 |#2|) (LIST (QUOTE -1028) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-367))) (-12 (|HasCategory| (-406 |#2|) (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasCategory| (-406 |#2|) (QUOTE (-362)))) (-12 (|HasCategory| (-406 |#2|) (QUOTE (-232))) (|HasCategory| (-406 |#2|) (QUOTE (-362))))) -(-41 R -3198) +(-41 R -3199) ((|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| $)) $) "\\spad{numer(x)} \\undocumented"))) NIL ((-12 (|HasCategory| |#1| (QUOTE (-450))) (|HasCategory| |#1| (QUOTE (-841))) (|HasCategory| |#1| (LIST (QUOTE -1028) (QUOTE (-558)))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))))) @@ -144,7 +144,7 @@ NIL ((|constructor| (NIL "\\spad{ApplyUnivariateSkewPolynomial} (internal) allows univariate skew polynomials to be applied to appropriate modules.")) (|apply| ((|#2| |#3| (|Mapping| |#2| |#2|) |#2|) "\\spad{apply(p,{} f,{} m)} returns \\spad{p(m)} where the action is given by \\spad{x m = f(m)}. \\spad{f} must be an \\spad{R}-pseudo linear map on \\spad{M}."))) NIL NIL -(-54 |Base| R -3198) +(-54 |Base| R -3199) ((|constructor| (NIL "This package apply rewrite rules to expressions,{} calling the pattern matcher.")) (|localUnquote| ((|#3| |#3| (|List| (|Symbol|))) "\\spad{localUnquote(f,{}ls)} is a local function.")) (|applyRules| ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3| (|PositiveInteger|)) "\\spad{applyRules([r1,{}...,{}rn],{} expr,{} n)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} a most \\spad{n} times.") ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3|) "\\spad{applyRules([r1,{}...,{}rn],{} expr)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} an unlimited number of times,{} \\spadignore{i.e.} until none of \\spad{r1},{}...,{}\\spad{rn} is applicable to the expression."))) NIL NIL @@ -388,7 +388,7 @@ NIL ((|constructor| (NIL "A basic operator is an object that can be applied to a list of arguments from a set,{} the result being a kernel over that set.")) (|setProperties| (($ $ (|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| (($ $ (|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| (((|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!| (($ $ (|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| (($ $ (|String|)) "\\spad{assert(op,{} s)} attaches property \\spad{s} to \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|has?| (((|Boolean|) $ (|String|)) "\\spad{has?(op,{} s)} tests if property \\spad{s} is attached to \\spad{op}.")) (|is?| (((|Boolean|) $ (|Symbol|)) "\\spad{is?(op,{} s)} tests if the name of \\spad{op} is \\spad{s}.")) (|input| (((|Union| (|Mapping| (|InputForm|) (|List| (|InputForm|))) "failed") $) "\\spad{input(op)} returns the \"\\%input\" property of \\spad{op} if it has one attached,{} \"failed\" otherwise.") (($ $ (|Mapping| (|InputForm|) (|List| (|InputForm|)))) "\\spad{input(op,{} foo)} attaches foo as the \"\\%input\" property of \\spad{op}. If \\spad{op} has a \"\\%input\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to InputForm as \\spad{f(a1,{}...,{}an)}.")) (|display| (($ $ (|Mapping| (|OutputForm|) (|OutputForm|))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a)} gets converted to OutputForm as \\spad{f(a)}. Argument \\spad{op} must be unary.") (($ $ (|Mapping| (|OutputForm|) (|List| (|OutputForm|)))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to OutputForm as \\spad{f(a1,{}...,{}an)}.") (((|Union| (|Mapping| (|OutputForm|) (|List| (|OutputForm|))) "failed") $) "\\spad{display(op)} returns the \"\\%display\" property of \\spad{op} if it has one attached,{} and \"failed\" otherwise.")) (|comparison| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{comparison(op,{} foo?)} attaches foo? as the \"\\%less?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has a \"\\%less?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether \\spad{op1 < op2}.")) (|equality| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{equality(op,{} foo?)} attaches foo? as the \"\\%equal?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has an \"\\%equal?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether op1 and op2 should be considered equal.")) (|weight| (($ $ (|NonNegativeInteger|)) "\\spad{weight(op,{} n)} attaches the weight \\spad{n} to \\spad{op}.") (((|NonNegativeInteger|) $) "\\spad{weight(op)} returns the weight attached to \\spad{op}.")) (|nary?| (((|Boolean|) $) "\\spad{nary?(op)} tests if \\spad{op} has arbitrary arity.")) (|unary?| (((|Boolean|) $) "\\spad{unary?(op)} tests if \\spad{op} is unary.")) (|nullary?| (((|Boolean|) $) "\\spad{nullary?(op)} tests if \\spad{op} is nullary.")) (|arity| (((|Union| (|NonNegativeInteger|) "failed") $) "\\spad{arity(op)} returns \\spad{n} if \\spad{op} is \\spad{n}-ary,{} and \"failed\" if \\spad{op} has arbitrary arity.")) (|operator| (($ (|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}.")) (|name| (((|Symbol|) $) "\\spad{name(op)} returns the name of \\spad{op}."))) NIL NIL -(-115 -3198 UP) +(-115 -3199 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 @@ -516,7 +516,7 @@ NIL ((|constructor| (NIL "Rings of Characteristic Zero."))) ((-4380 . T)) NIL -(-147 -3198 UP UPUP) +(-147 -3199 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 @@ -556,7 +556,7 @@ 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 -(-157 R -3198) +(-157 R -3199) ((|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 @@ -676,7 +676,7 @@ NIL ((|constructor| (NIL "This domain provides implementations for constructors."))) NIL NIL -(-187 R -3198) +(-187 R -3199) ((|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 @@ -784,11 +784,11 @@ NIL ((|constructor| (NIL "\\indented{1}{This domain implements a simple view of a database whose fields are} indexed by symbols")) (- (($ $ $) "\\spad{db1-db2} returns the difference of databases \\spad{db1} and \\spad{db2} \\spadignore{i.e.} consisting of elements in \\spad{db1} but not in \\spad{db2}")) (+ (($ $ $) "\\spad{db1+db2} returns the merge of databases \\spad{db1} and \\spad{db2}")) (|fullDisplay| (((|Void|) $ (|PositiveInteger|) (|PositiveInteger|)) "\\spad{fullDisplay(db,{}start,{}end )} prints full details of entries in the range \\axiom{\\spad{start}..end} in \\axiom{\\spad{db}}.") (((|Void|) $) "\\spad{fullDisplay(db)} prints full details of each entry in \\axiom{\\spad{db}}.") (((|Void|) $) "\\spad{fullDisplay(x)} displays \\spad{x} in detail")) (|display| (((|Void|) $) "\\spad{display(db)} prints a summary line for each entry in \\axiom{\\spad{db}}.") (((|Void|) $) "\\spad{display(x)} displays \\spad{x} in some form")) (|elt| (((|DataList| (|String|)) $ (|Symbol|)) "\\spad{elt(db,{}s)} returns the \\axiom{\\spad{s}} field of each element of \\axiom{\\spad{db}}.") (($ $ (|QueryEquation|)) "\\spad{elt(db,{}q)} returns all elements of \\axiom{\\spad{db}} which satisfy \\axiom{\\spad{q}}.") (((|String|) $ (|Symbol|)) "\\spad{elt(x,{}s)} returns an element of \\spad{x} indexed by \\spad{s}"))) NIL NIL -(-214 -3198 UP UPUP R) +(-214 -3199 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 -(-215 -3198 FP) +(-215 -3199 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 @@ -800,7 +800,7 @@ NIL ((|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 -(-218 R -3198) +(-218 R -3199) ((|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 @@ -820,13 +820,13 @@ NIL ((|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}."))) ((-4380 . T)) NIL -(-223 R -3198) +(-223 R -3199) ((|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 (-224) ((|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}."))) -((-1394 . T) (-4375 . T) (-4381 . T) (-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) +((-1395 . T) (-4375 . T) (-4381 . T) (-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) NIL (-225) ((|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{\\spad{Bi}(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{\\spad{Bi}''(x) - x * \\spad{Bi}(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{airyBi(x)} is the Airy function \\spad{\\spad{Bi}(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{\\spad{Bi}''(x) - x * \\spad{Bi}(x) = 0}.}")) (|airyAi| (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{airyAi(x)} is the Airy function \\spad{\\spad{Ai}(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{\\spad{Ai}''(x) - x * \\spad{Ai}(x) = 0}.}") (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{airyAi(x)} is the Airy function \\spad{\\spad{Ai}(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{\\spad{Ai}''(x) - x * \\spad{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*\\%\\spad{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*\\%\\spad{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*\\%\\spad{pi}) - J(-v,{}x))/sin(v*\\%\\spad{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*\\%\\spad{pi}) - J(-v,{}x))/sin(v*\\%\\spad{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)}.}"))) @@ -1028,11 +1028,11 @@ 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 -(-275 R -3198) +(-275 R -3199) ((|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{\\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 -(-276 R -3198) +(-276 R -3199) ((|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{\\spad{ki}} was rewritten as \\spad{\\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 @@ -1080,7 +1080,7 @@ 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 -(-288 S R |Mod| -4160 -3743 |exactQuo|) +(-288 S R |Mod| -1783 -2297 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{ModularRing},{} \\spadtype{ModularField}")) (|elt| ((|#2| $ |#2|) "\\spad{elt(x,{}r)} or \\spad{x}.\\spad{r} \\undocumented")) (|inv| (($ $) "\\spad{inv(x)} \\undocumented")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} \\undocumented")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,{}y)} \\undocumented")) (|reduce| (($ |#2| |#3|) "\\spad{reduce(r,{}m)} \\undocumented")) (|coerce| ((|#2| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#3| $) "\\spad{modulus(x)} \\undocumented"))) ((-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) NIL @@ -1112,11 +1112,11 @@ NIL ((|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 -(-296 -3198 S) +(-296 -3199 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 -(-297 E -3198) +(-297 E -3199) ((|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 @@ -1164,7 +1164,7 @@ 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 -(-309 -3198) +(-309 -3199) ((|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 @@ -1192,7 +1192,7 @@ NIL ((|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."))) 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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{\\spad{yi}(a) = \\spad{bi}}. Note: eqi must be of the form \\spad{\\spad{fi}(x,{} y1 x,{} y2 x,{}...,{} yn x) y1'(x) + \\spad{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 @@ -1203,7 +1203,7 @@ NIL (-318 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."))) (((-4385 "*") |has| |#1| (-171)) (-4376 |has| |#1| (-550)) (-4381 |has| |#1| (-362)) (-4375 |has| |#1| (-362)) (-4377 . T) (-4378 . T) (-4380 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3996 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3996 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -3710) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2664) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3996 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3996 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -3221) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2664) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) (-319 M) ((|constructor| (NIL "computes various functions on factored arguments.")) (|log| (((|List| (|Record| (|:| |coef| (|NonNegativeInteger|)) (|:| |logand| |#1|))) (|Factored| |#1|)) "\\spad{log(f)} returns \\spad{[(a1,{}b1),{}...,{}(am,{}bm)]} such that the logarithm of \\spad{f} is equal to \\spad{a1*log(b1) + ... + am*log(bm)}.")) (|nthRoot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#1|) (|:| |radicand| (|List| |#1|))) (|Factored| |#1|) (|NonNegativeInteger|)) "\\spad{nthRoot(f,{} n)} returns \\spad{(p,{} r,{} [r1,{}...,{}rm])} such that the \\spad{n}th-root of \\spad{f} is equal to \\spad{r * \\spad{p}th-root(r1 * ... * rm)},{} where \\spad{r1},{}...,{}\\spad{rm} are distinct factors of \\spad{f},{} each of which has an exponent smaller than \\spad{p} in \\spad{f}."))) NIL @@ -1236,11 +1236,11 @@ NIL ((|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."))) ((-4384 . T) (-4383 . T)) ((-3996 (-12 (|HasCategory| |#1| (QUOTE (-841))) (|HasCategory| |#1| (LIST (QUOTE -308) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1087))) (|HasCategory| |#1| (LIST (QUOTE -308) (|devaluate| |#1|))))) (-3996 (-12 (|HasCategory| |#1| (QUOTE (-1087))) (|HasCategory| |#1| (LIST (QUOTE -308) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -605) (QUOTE (-853))))) (|HasCategory| |#1| (LIST (QUOTE -606) (QUOTE (-534)))) (-3996 (|HasCategory| |#1| (QUOTE (-841))) (|HasCategory| |#1| (QUOTE (-1087)))) (|HasCategory| |#1| (QUOTE (-841))) (|HasCategory| (-558) (QUOTE (-841))) (|HasCategory| |#1| (QUOTE (-1087))) (|HasCategory| |#1| (LIST (QUOTE -605) (QUOTE (-853)))) (-12 (|HasCategory| |#1| (QUOTE (-1087))) (|HasCategory| |#1| (LIST (QUOTE -308) (|devaluate| |#1|))))) -(-327 S -3198) +(-327 S -3199) ((|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 (-367)))) -(-328 -3198) +(-328 -3199) ((|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."))) ((-4375 . T) (-4381 . T) (-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) NIL @@ -1260,15 +1260,15 @@ 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 -(-333 S -3198 UP UPUP R) +(-333 S -3199 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 -(-334 -3198 UP UPUP R) +(-334 -3199 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 -(-335 -3198 UP UPUP R) +(-335 -3199 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 @@ -1288,11 +1288,11 @@ 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 -(-340 S -3198 UP UPUP) +(-340 S -3199 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(\\spad{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 (-367))) (|HasCategory| |#2| (QUOTE (-362)))) -(-341 -3198 UP UPUP) +(-341 -3199 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(\\spad{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."))) ((-4376 |has| (-406 |#2|) (-362)) (-4381 |has| (-406 |#2|) (-362)) (-4375 |has| (-406 |#2|) (-362)) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) NIL @@ -1324,7 +1324,7 @@ 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."))) ((-4375 . T) (-4381 . T) (-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) NIL -(-349 R UP -3198) +(-349 R UP -3199) ((|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{\\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{\\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{\\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{\\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{\\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{\\spad{wi} = sum(bij * vj,{} j = 1..n)}.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}"))) NIL NIL @@ -1348,7 +1348,7 @@ NIL ((|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."))) ((-4375 . T) (-4381 . T) (-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) ((-3996 (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-367)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-367))) (|HasCategory| |#1| (QUOTE (-144)))) -(-355 -3198 GF) +(-355 -3199 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 @@ -1356,7 +1356,7 @@ 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 -(-357 -3198 FP FPP) +(-357 -3199 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 \\spad{fi} = sum ai/fi} or returns \"failed\" if no such list of \\spad{ai}\\spad{'s} exists."))) NIL NIL @@ -1442,7 +1442,7 @@ NIL NIL (-378) ((|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{\\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}."))) -((-4366 . T) (-4374 . T) (-1394 . T) (-4375 . T) (-4381 . T) (-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) +((-4366 . T) (-4374 . T) (-1395 . T) (-4375 . T) (-4381 . T) (-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) NIL (-379 |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}."))) @@ -1492,7 +1492,7 @@ 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 -(-391 -3198 UP UPUP R) +(-391 -3199 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 @@ -1516,11 +1516,11 @@ 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 -(-397 -3149 |returnType| -1315 |symbols|) +(-397 -3149 |returnType| -1314 |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 -(-398 -3198 UP) +(-398 -3199 UP) ((|constructor| (NIL "\\indented{1}{Full partial fraction expansion of rational functions} Author: Manuel Bronstein Date Created: 9 December 1992 Date Last Updated: 6 October 1993 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.}")) (D (($ $ (|NonNegativeInteger|)) "\\spad{D(f,{} n)} returns the \\spad{n}-th derivative of \\spad{f}.") (($ $) "\\spad{D(f)} returns the derivative of \\spad{f}.")) (|differentiate| (($ $ (|NonNegativeInteger|)) "\\spad{differentiate(f,{} n)} returns the \\spad{n}-th derivative of \\spad{f}.") (($ $) "\\spad{differentiate(f)} returns the derivative of \\spad{f}.")) (|construct| (($ (|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| $) "\\spad{p + x} returns the sum of \\spad{p} and \\spad{x}"))) NIL NIL @@ -1542,7 +1542,7 @@ NIL ((|HasAttribute| |#1| (QUOTE -4366)) (|HasAttribute| |#1| (QUOTE -4374))) (-403) ((|constructor| (NIL "This category is intended as a model for floating point systems. A floating point system is a model for the real numbers. In fact,{} it is an approximation in the sense that not all real numbers are exactly representable by floating point numbers. A floating point system is characterized by the following: \\blankline \\indented{2}{1: \\spadfunFrom{base}{FloatingPointSystem} of the \\spadfunFrom{exponent}{FloatingPointSystem}.} \\indented{9}{(actual implemenations are usually binary or decimal)} \\indented{2}{2: \\spadfunFrom{precision}{FloatingPointSystem} of the \\spadfunFrom{mantissa}{FloatingPointSystem} (arbitrary or fixed)} \\indented{2}{3: rounding error for operations} \\blankline Because a Float is an approximation to the real numbers,{} even though it is defined to be a join of a Field and OrderedRing,{} some of the attributes do not hold. In particular associative(\\spad{\"+\"}) does not hold. Algorithms defined over a field need special considerations when the field is a floating point system.")) (|max| (($) "\\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\"."))) -((-1394 . T) (-4375 . T) (-4381 . T) (-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) +((-1395 . T) (-4375 . T) (-4381 . T) (-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) NIL (-404 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."))) @@ -1576,11 +1576,11 @@ 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 -(-412 R -3198 UP A) +(-412 R -3199 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)}."))) ((-4380 . T)) NIL -(-413 R -3198 UP A |ibasis|) +(-413 R -3199 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 -1028) (|devaluate| |#2|)))) @@ -1628,7 +1628,7 @@ 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|) $) "\\spad{cardinality(u)} returns the number of elements of \\spad{u}. Note: \\axiom{cardinality(\\spad{u}) = \\#u}."))) ((-4383 . T) (-4373 . T) (-4384 . T)) NIL -(-425 R -3198) +(-425 R -3199) ((|constructor| (NIL "\\spadtype{FunctionSpaceComplexIntegration} provides functions for the indefinite integration of complex-valued functions.")) (|complexIntegrate| ((|#2| |#2| (|Symbol|)) "\\spad{complexIntegrate(f,{} x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable.")) (|internalIntegrate0| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate0 should} be a local function,{} but is conditional.")) (|internalIntegrate| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate(f,{} x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable."))) NIL NIL @@ -1636,7 +1636,7 @@ NIL ((|constructor| (NIL "\\indented{1}{Author: James Davenport} Date Created: 17 April 1992 Date Last Updated: Basic Functions: Related Constructors: Also See: AMS Classifications: Keywords: References: Description:")) (|makeCos| (($ |#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"))) ((-4370 -12 (|has| |#1| (-6 -4370)) (|has| |#2| (-6 -4370))) (-4377 . T) (-4378 . T) (-4380 . T)) ((-12 (|HasAttribute| |#1| (QUOTE -4370)) (|HasAttribute| |#2| (QUOTE -4370)))) -(-427 R -3198) +(-427 R -3199) ((|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 @@ -1648,15 +1648,15 @@ NIL ((|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| $)))) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [n1,{}...,{}nm],{} [f1,{}...,{}fm])} replaces every \\spad{\\spad{si}(a1,{}...,{}an)**ni} in \\spad{x} by \\spad{\\spad{fi}(a1,{}...,{}an)} for any a1,{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ $))) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [n1,{}...,{}nm],{} [f1,{}...,{}fm])} replaces every \\spad{\\spad{si}(a)**ni} in \\spad{x} by \\spad{\\spad{fi}(a)} for any \\spad{a}.") (($ $ (|List| (|BasicOperator|)) (|List| $) (|Symbol|)) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [f1,{}...,{}fm],{} y)} replaces every \\spad{\\spad{si}(a)} in \\spad{x} by \\spad{\\spad{fi}(y)} with \\spad{y} replaced by \\spad{a} for any \\spad{a}.") (($ $ (|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}."))) ((-4380 -3996 (|has| |#1| (-1039)) (|has| |#1| (-471))) (-4378 |has| |#1| (-171)) (-4377 |has| |#1| (-171)) ((-4385 "*") |has| |#1| (-550)) (-4376 |has| |#1| (-550)) (-4381 |has| |#1| (-550)) (-4375 |has| |#1| (-550))) NIL -(-430 R -3198) +(-430 R -3199) ((|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 -(-431 R -3198) +(-431 R -3199) ((|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{\\spad{ai} = \\spad{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{\\spad{ai} = \\spad{qi}(a)},{} and \\spad{q(a) = 0}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}."))) NIL ((|HasCategory| |#2| (QUOTE (-27)))) -(-432 R -3198) +(-432 R -3199) ((|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 @@ -1664,7 +1664,7 @@ 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 -(-434 R -3198 UP) +(-434 R -3199 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 -1028) (QUOTE (-48))))) @@ -1692,7 +1692,7 @@ 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 -(-441 R UP -3198) +(-441 R UP -3199) ((|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 @@ -1804,7 +1804,7 @@ 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 -(-469 |lv| -3198 R) +(-469 |lv| -3199 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 @@ -1819,7 +1819,7 @@ NIL (-472 |Coef| |var| |cen|) ((|constructor| (NIL "This is a category of univariate Puiseux series constructed from univariate Laurent series. A Puiseux series is represented by a pair \\spad{[r,{}f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x\\^r)}.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|UnivariatePuiseuxSeries| |#1| |#2| |#3|)) "\\spad{coerce(f)} converts a Puiseux series to a general power series.") (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Puiseux series."))) (((-4385 "*") |has| |#1| (-171)) (-4376 |has| |#1| (-550)) (-4381 |has| |#1| (-362)) (-4375 |has| |#1| (-362)) (-4377 . T) (-4378 . T) (-4380 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3996 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3996 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -3710) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2664) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3996 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3996 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -3221) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2664) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) (-473 |Key| |Entry| |Tbl| |dent|) ((|constructor| (NIL "A sparse table has a default entry,{} which is returned if no other value has been explicitly stored for a key."))) ((-4384 . T)) @@ -1860,7 +1860,7 @@ NIL ((|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}."))) ((-4383 . T) (-4384 . T)) ((-12 (|HasCategory| |#1| (QUOTE (-1087))) (|HasCategory| |#1| (LIST (QUOTE -308) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1087))) (-3996 (-12 (|HasCategory| |#1| (QUOTE (-1087))) (|HasCategory| |#1| (LIST (QUOTE -308) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -605) (QUOTE (-853))))) (|HasCategory| |#1| (LIST (QUOTE -605) (QUOTE (-853))))) -(-483 -3198 UP UPUP R) +(-483 -3199 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 @@ -1896,7 +1896,7 @@ 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 -(-492 -3198 UP |AlExt| |AlPol|) +(-492 -3199 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 @@ -1916,7 +1916,7 @@ NIL ((|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 -(-497 R UP -3198) +(-497 R UP -3199) ((|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{\\spad{mi}} is represented as follows: \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,{}w2,{}...,{}wn} and \\spad{\\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{\\spad{mi}} is given by \\spad{\\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{\\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{\\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| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}"))) NIL NIL @@ -1936,7 +1936,7 @@ NIL ((|constructor| (NIL "InnerCommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#4|) "\\spad{splitDenominator([q1,{}...,{}qn])} returns \\spad{[[p1,{}...,{}pn],{} d]} such that \\spad{\\spad{qi} = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|clearDenominator| ((|#3| |#4|) "\\spad{clearDenominator([q1,{}...,{}qn])} returns \\spad{[p1,{}...,{}pn]} such that \\spad{\\spad{qi} = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|commonDenominator| ((|#1| |#4|) "\\spad{commonDenominator([q1,{}...,{}qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}\\spad{qn}."))) NIL NIL -(-502 -3198 |Expon| |VarSet| |DPoly|) +(-502 -3199 |Expon| |VarSet| |DPoly|) ((|constructor| (NIL "This domain represents polynomial ideals with coefficients in any field and supports the basic ideal operations,{} including intersection sum and quotient. An ideal is represented by a list of polynomials (the generators of the ideal) and a boolean that is \\spad{true} if the generators are a Groebner basis. The algorithms used are based on Groebner basis computations. The ordering is determined by the datatype of the input polynomials. Users may use refinements of total degree orderings.")) (|relationsIdeal| (((|SuchThat| (|List| (|Polynomial| |#1|)) (|List| (|Equation| (|Polynomial| |#1|)))) (|List| |#4|)) "\\spad{relationsIdeal(polyList)} returns the ideal of relations among the polynomials in \\spad{polyList}.")) (|saturate| (($ $ |#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 -606) (QUOTE (-1163))))) @@ -2048,7 +2048,7 @@ 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 NIL -(-530 K -3198 |Par|) +(-530 K -3199 |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 @@ -2072,7 +2072,7 @@ 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 -(-536 K -3198 |Par|) +(-536 K -3199 |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 @@ -2108,11 +2108,11 @@ NIL ((|constructor| (NIL "This domain is used to provide a conditional \"add\" domain for the implementation of \\spadtype{Table}."))) ((-4383 . T) (-4384 . T)) ((-12 (|HasCategory| (-2 (|:| -2055 |#1|) (|:| -3528 |#2|)) (QUOTE (-1087))) (|HasCategory| (-2 (|:| -2055 |#1|) (|:| -3528 |#2|)) (LIST (QUOTE -308) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2055) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3528) (|devaluate| |#2|)))))) (-3996 (|HasCategory| (-2 (|:| -2055 |#1|) (|:| -3528 |#2|)) (QUOTE (-1087))) (|HasCategory| |#2| (QUOTE (-1087)))) (-3996 (|HasCategory| (-2 (|:| -2055 |#1|) (|:| -3528 |#2|)) (QUOTE (-1087))) (|HasCategory| (-2 (|:| -2055 |#1|) (|:| -3528 |#2|)) (LIST (QUOTE -605) (QUOTE (-853)))) (|HasCategory| |#2| (QUOTE (-1087))) (|HasCategory| |#2| (LIST (QUOTE -605) (QUOTE (-853))))) (|HasCategory| (-2 (|:| -2055 |#1|) (|:| -3528 |#2|)) (LIST (QUOTE -606) (QUOTE (-534)))) (-12 (|HasCategory| |#2| (QUOTE (-1087))) (|HasCategory| |#2| (LIST (QUOTE -308) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -2055 |#1|) (|:| -3528 |#2|)) (QUOTE (-1087))) (|HasCategory| |#1| (QUOTE (-841))) (|HasCategory| |#2| (QUOTE (-1087))) (-3996 (|HasCategory| (-2 (|:| -2055 |#1|) (|:| -3528 |#2|)) (LIST (QUOTE -605) (QUOTE (-853)))) (|HasCategory| |#2| (LIST (QUOTE -605) (QUOTE (-853))))) (|HasCategory| |#2| (LIST (QUOTE -605) (QUOTE (-853)))) (|HasCategory| (-2 (|:| -2055 |#1|) (|:| -3528 |#2|)) (LIST (QUOTE -605) (QUOTE (-853))))) -(-545 R -3198) +(-545 R -3199) ((|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 -(-546 R0 -3198 UP UPUP R) +(-546 R0 -3199 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 @@ -2122,7 +2122,7 @@ NIL NIL (-548 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."))) -((-1394 . T) (-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) +((-1395 . T) (-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) NIL (-549 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."))) @@ -2132,7 +2132,7 @@ 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."))) ((-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) NIL -(-551 R -3198) +(-551 R -3199) ((|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,{}[[\\spad{ci},{} \\spad{gi}]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,{}...,{}gn]},{} and \\spad{d(h+sum(\\spad{ci} log(\\spad{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 @@ -2144,7 +2144,7 @@ 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 -(-554 R -3198 L) +(-554 R -3199 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,{}[[\\spad{ci},{} \\spad{ui}]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,{}...,{}un]} and \\spad{d(h + sum(\\spad{ci} log(\\spad{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,{}[[\\spad{ci},{} \\spad{ui}]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,{}...,{}un]} and \\spad{d(h + sum(\\spad{ci} log(\\spad{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 -646) (|devaluate| |#2|)))) @@ -2152,11 +2152,11 @@ 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 -(-556 -3198 UP UPUP R) +(-556 -3199 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 -(-557 -3198 UP) +(-557 -3199 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 @@ -2168,15 +2168,15 @@ 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 -(-560 R -3198 L) +(-560 R -3199 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,{}[[\\spad{ci},{} \\spad{ui}]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,{}...,{}un]} and \\spad{d(h + sum(\\spad{ci} log(\\spad{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 -646) (|devaluate| |#2|)))) -(-561 R -3198) +(-561 R -3199) ((|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 -606) (LIST (QUOTE -882) (QUOTE (-558))))) (|HasCategory| |#1| (LIST (QUOTE -876) (QUOTE (-558)))) (|HasCategory| |#2| (QUOTE (-1126)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -606) (LIST (QUOTE -882) (QUOTE (-558))))) (|HasCategory| |#1| (LIST (QUOTE -876) (QUOTE (-558)))) (|HasCategory| |#2| (QUOTE (-621))))) -(-562 -3198 UP) +(-562 -3199 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,{}[[\\spad{ci},{} \\spad{gi}]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,{}...,{}gn]},{} \\spad{ci' = 0},{} and \\spad{(h+sum(\\spad{ci} log(\\spad{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 @@ -2184,27 +2184,27 @@ 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 -(-564 -3198) +(-564 -3199) ((|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,{} [[\\spad{ci},{}\\spad{gi}]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,{}...,{}gn]},{} \\spad{dci/dx = 0},{} and \\spad{d(h + sum(\\spad{ci} log(\\spad{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 (-565 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."))) -((-1394 . T) (-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) +((-1395 . T) (-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) NIL (-566) ((|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 \\spad{fi} = sum ai/fi} or returns \"failed\" if no such list of \\spad{ai}\\spad{'s} exists."))) NIL NIL -(-567 R -3198) +(-567 R -3199) ((|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 -606) (LIST (QUOTE -882) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-450))) (|HasCategory| |#1| (LIST (QUOTE -876) (QUOTE (-558)))) (|HasCategory| |#2| (QUOTE (-283))) (|HasCategory| |#2| (QUOTE (-621))) (|HasCategory| |#2| (LIST (QUOTE -1028) (QUOTE (-1163))))) (-12 (|HasCategory| |#1| (QUOTE (-450))) (|HasCategory| |#2| (QUOTE (-283)))) (|HasCategory| |#1| (QUOTE (-550)))) -(-568 -3198 UP) +(-568 -3199 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' + +/[\\spad{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(+,{}[\\spad{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(+,{}[\\spad{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 -(-569 R -3198) +(-569 R -3199) ((|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 @@ -2221,7 +2221,7 @@ NIL NIL NIL (-573) -((|constructor| (NIL "This domain provides representation for ARPA Internet IP4 addresses.")) (|resolve| (((|Union| $ "failed") (|Hostname|)) "\\spad{resolve(h)} returns the IP4 address of host \\spad{`h'}.")) (|bytes| (((|DataArray| 4 (|Byte|)) $) "\\spad{bytes(x)} returns the bytes of the numeric address \\spad{`x'}.")) (|ip4Address| (($ (|String|)) "\\spad{ip4Address(a)} builds a numeric address out of the ASCII form `a'."))) +((|constructor| (NIL "This domain provides representation for ARPA Internet IP4 addresses.")) (|resolve| (((|Maybe| $) (|Hostname|)) "\\spad{resolve(h)} returns the IP4 address of host \\spad{`h'}.")) (|bytes| (((|DataArray| 4 (|Byte|)) $) "\\spad{bytes(x)} returns the bytes of the numeric address \\spad{`x'}.")) (|ip4Address| (($ (|String|)) "\\spad{ip4Address(a)} builds a numeric address out of the ASCII form `a'."))) NIL NIL (-574 |p| |unBalanced?|) @@ -2236,15 +2236,15 @@ 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 -(-577 R -3198) +(-577 R -3199) ((|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 -(-578 E -3198) +(-578 E -3199) ((|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 -(-579 -3198) +(-579 -3199) ((|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}."))) ((-4378 . T) (-4377 . T)) ((|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasCategory| |#1| (LIST (QUOTE -1028) (QUOTE (-1163))))) @@ -2296,7 +2296,7 @@ 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 -(-592 R -3198 FG) +(-592 R -3199 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{\\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{\\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 @@ -2356,7 +2356,7 @@ 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| $) "\\spad{convert(a)} transforms a into an element of \\spad{S}."))) NIL NIL -(-607 -3198 UP) +(-607 -3199 UP) ((|constructor| (NIL "\\spadtype{Kovacic} provides a modified Kovacic\\spad{'s} algorithm for solving explicitely irreducible 2nd order linear ordinary differential equations.")) (|kovacic| (((|Union| (|SparseUnivariatePolynomial| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{kovacic(a_0,{}a_1,{}a_2,{}ezfactor)} returns either \"failed\" or \\spad{P}(\\spad{u}) such that \\spad{\\$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 @@ -2384,7 +2384,7 @@ 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}."))) ((-4377 . T) (-4378 . T) (-4380 . T)) ((|HasCategory| |#1| (QUOTE (-839)))) -(-614 R -3198) +(-614 R -3199) ((|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 @@ -2416,11 +2416,11 @@ NIL ((|constructor| (NIL "Category for the transcendental Liouvillian functions.")) (|erf| (($ $) "\\spad{erf(x)} returns the error function of \\spad{x},{} \\spadignore{i.e.} \\spad{2 / sqrt(\\%\\spad{pi})} times the integral of \\spad{exp(-x**2) dx}.")) (|dilog| (($ $) "\\spad{dilog(x)} returns the dilogarithm of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{log(x) / (1 - x) dx}.")) (|li| (($ $) "\\spad{\\spad{li}(x)} returns the logarithmic integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{dx / log(x)}.")) (|Ci| (($ $) "\\spad{\\spad{Ci}(x)} returns the cosine integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{cos(x) / x dx}.")) (|Si| (($ $) "\\spad{\\spad{Si}(x)} returns the sine integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{sin(x) / x dx}.")) (|Ei| (($ $) "\\spad{\\spad{Ei}(x)} returns the exponential integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{exp(x)/x dx}."))) NIL NIL -(-622 R -3198) +(-622 R -3199) ((|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{\\spad{li}(f)} denotes the logarithmic integral")) (|Ci| ((|#2| |#2|) "\\spad{\\spad{Ci}(f)} denotes the cosine integral")) (|Si| ((|#2| |#2|) "\\spad{\\spad{Si}(f)} denotes the sine integral")) (|Ei| ((|#2| |#2|) "\\spad{\\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 -(-623 |lv| -3198) +(-623 |lv| -3199) ((|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 @@ -2496,7 +2496,7 @@ 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,{}..))}.")) (|elt| (($ $ (|UniversalSegment| (|Integer|))) "\\spad{elt(u,{}i..j)} (also written: \\axiom{a(\\spad{i}..\\spad{j})}) returns the aggregate of elements \\axiom{\\spad{u}} for \\spad{k} from \\spad{i} to \\spad{j} in that order. Note: in general,{} \\axiom{a.\\spad{s} = [a.\\spad{k} for \\spad{i} in \\spad{s}]}.")) (|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 -(-642 R -3198 L) +(-642 R -3199 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 @@ -2516,11 +2516,11 @@ 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}."))) ((-4377 . T) (-4378 . T) (-4380 . T)) NIL -(-647 -3198 UP) +(-647 -3199 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)))) -(-648 A -2680) +(-648 A -2181) ((|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}}"))) ((-4377 . T) (-4378 . T) (-4380 . T)) ((|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (LIST (QUOTE -1028) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (LIST (QUOTE -1028) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-450))) (|HasCategory| |#1| (QUOTE (-362)))) @@ -2556,11 +2556,11 @@ 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}."))) ((-4384 . T) (-4383 . T)) NIL -(-657 -3198) +(-657 -3199) ((|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 -(-658 -3198 |Row| |Col| M) +(-658 -3199 |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 @@ -2656,7 +2656,7 @@ NIL ((|constructor| (NIL "This domain implements the notion of optional value,{} where a computation may fail to produce expected value.")) (|nothing| (($) "represents failure.")) (|autoCoerce| ((|#1| $) "autoCoerce is a courtesy coercion function used by the compiler in case it knows that \\spad{`x'} really is a \\spad{T}.")) (|case| (((|Boolean|) $ (|[\|\|]| |nothing|)) "\\spad{x case nothing} evaluates \\spad{true} 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|) "maybe(\\spad{x}) injects the value \\spad{`x'} into \\%."))) NIL NIL -(-682 S -3198 FLAF FLAS) +(-682 S -3199 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 @@ -2680,13 +2680,13 @@ 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.")) (|meshPar1Var| (((|ThreeSpace| (|DoubleFloat|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar1Var(s,{}t,{}u,{}f,{}s1,{}l)} \\undocumented")) (|meshFun2Var| (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Union| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "undefined") (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshFun2Var(f,{}g,{}s1,{}s2,{}l)} \\undocumented")) (|meshPar2Var| (((|ThreeSpace| (|DoubleFloat|)) (|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(sp,{}f,{}s1,{}s2,{}l)} \\undocumented") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(f,{}s1,{}s2,{}l)} \\undocumented") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Union| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "undefined") (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(f,{}g,{}h,{}j,{}s1,{}s2,{}l)} \\undocumented"))) NIL NIL -(-688 OV E -3198 PG) +(-688 OV E -3199 PG) ((|constructor| (NIL "Package for factorization of multivariate polynomials over finite fields.")) (|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 (-689) ((|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}"))) -((-1394 . T) (-4375 . T) (-4381 . T) (-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) +((-1395 . T) (-4375 . T) (-4381 . T) (-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) NIL (-690 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."))) @@ -2716,7 +2716,7 @@ 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 -(-697 S -2922 I) +(-697 S -2921 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 @@ -2736,7 +2736,7 @@ NIL ((|constructor| (NIL "\\spadtype{MathMLFormat} provides a coercion from \\spadtype{OutputForm} to MathML format.")) (|display| (((|Void|) (|String|)) "prints the string returned by coerce,{} adding <math ...> tags.")) (|exprex| (((|String|) (|OutputForm|)) "coverts \\spadtype{OutputForm} to \\spadtype{String} with the structure preserved with braces. Actually this is not quite accurate. The function \\spadfun{precondition} is first applied to the \\spadtype{OutputForm} expression before \\spadfun{exprex}. The raw \\spadtype{OutputForm} and the nature of the \\spadfun{precondition} function is still obscure to me at the time of this writing (2007-02-14).")) (|coerceL| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format and displays result as one long string.")) (|coerceS| (((|String|) (|OutputForm|)) "\\spad{coerceS(o)} changes \\spad{o} in the standard output format to MathML format and displays formatted result.")) (|coerce| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format."))) NIL NIL -(-702 R |Mod| -4160 -3743 |exactQuo|) +(-702 R |Mod| -1783 -2297 |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| $) "\\spad{modulus(x)} \\undocumented"))) ((-4375 . T) (-4381 . T) (-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) NIL @@ -2752,7 +2752,7 @@ NIL ((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#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| (($ $ $) "\\spad{adjoint(op1,{} op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) ((-4378 |has| |#1| (-171)) (-4377 |has| |#1| (-171)) (-4380 . T)) ((|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146)))) -(-706 R |Mod| -4160 -3743 |exactQuo|) +(-706 R |Mod| -1783 -2297 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\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"))) ((-4380 . T)) NIL @@ -2764,7 +2764,7 @@ NIL ((|constructor| (NIL "The category of modules over a commutative ring. \\blankline"))) ((-4378 . T) (-4377 . T)) NIL -(-709 -3198) +(-709 -3199) ((|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]]}."))) ((-4380 . T)) NIL @@ -2800,7 +2800,7 @@ 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 -(-718 -3198 UP) +(-718 -3199 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 @@ -2952,11 +2952,11 @@ 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 -(-756 -3198) +(-756 -3199) ((|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 -(-757 P -3198) +(-757 P -3199) ((|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 @@ -2964,7 +2964,7 @@ NIL NIL NIL NIL -(-759 UP -3198) +(-759 UP -3199) ((|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{\\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{\\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{\\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{\\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{\\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{\\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 @@ -2980,7 +2980,7 @@ 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."))) (((-4385 "*") . T)) NIL -(-763 R -3198) +(-763 R -3199) ((|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 @@ -3000,7 +3000,7 @@ 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 -(-768 -3198 |ExtF| |SUEx| |ExtP| |n|) +(-768 -3199 |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 @@ -3096,11 +3096,11 @@ NIL ((|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 -(-792 R -3198 L) +(-792 R -3199 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{\\spad{yi}}\\spad{'s} form a basis for the solutions of \\spad{op y = 0}."))) NIL NIL -(-793 R -3198) +(-793 R -3199) ((|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 @@ -3108,7 +3108,7 @@ 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 -(-795 R -3198) +(-795 R -3199) ((|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 @@ -3116,11 +3116,11 @@ 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 -(-797 -3198 UP UPUP R) +(-797 -3199 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 -(-798 -3198 UP L LQ) +(-798 -3199 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 @@ -3128,27 +3128,27 @@ 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 -(-800 -3198 UP L LQ) +(-800 -3199 UP L LQ) ((|constructor| (NIL "In-field solution of Riccati equations,{} primitive case.")) (|changeVar| ((|#3| |#3| (|Fraction| |#2|)) "\\spad{changeVar(+/[\\spad{ai} D^i],{} a)} returns the operator \\spad{+/[\\spad{ai} (D+a)\\spad{^i}]}.") ((|#3| |#3| |#2|) "\\spad{changeVar(+/[\\spad{ai} D^i],{} a)} returns the operator \\spad{+/[\\spad{ai} (D+a)\\spad{^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{\\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{\\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 \\spad{ai}}} is \\spad{\\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 -(-801 -3198 UP) +(-801 -3199 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 -(-802 -3198 L UP A LO) +(-802 -3199 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 -(-803 -3198 UP) +(-803 -3199 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{\\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 \\spad{ai}}} is \\spad{\\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)))) -(-804 -3198 LO) +(-804 -3199 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}.") (((|Record| (|:| A (|Matrix| |#1|)) (|:| |eqs| (|List| (|Record| (|:| C (|Matrix| |#1|)) (|:| |g| (|Vector| |#1|)) (|:| |eq| |#2|) (|:| |rh| |#1|))))) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{triangulate(M,{}v)} returns \\spad{A,{}[[C_1,{}g_1,{}L_1,{}h_1],{}...,{}[C_k,{}g_k,{}L_k,{}h_k]]} such that under the change of variable \\spad{y = A z},{} the first order linear system \\spad{D y = M y + v} is uncoupled as \\spad{D z_i = C_i z_i + g_i} and each \\spad{C_i} is a companion matrix corresponding to the scalar equation \\spad{L_i z_j = h_i}."))) NIL NIL -(-805 -3198 LODO) +(-805 -3199 LODO) ((|constructor| (NIL "\\spad{ODETools} provides tools for the linear ODE solver.")) (|particularSolution| (((|Union| |#1| "failed") |#2| |#1| (|List| |#1|) (|Mapping| |#1| |#1|)) "\\spad{particularSolution(op,{} g,{} [f1,{}...,{}fm],{} I)} returns a particular solution \\spad{h} of the equation \\spad{op y = g} where \\spad{[f1,{}...,{}fm]} are linearly independent and \\spad{op(\\spad{fi})=0}. 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(\\spad{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)]}."))) NIL NIL @@ -3308,11 +3308,11 @@ 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 (-362))) (|HasCategory| |#1| (QUOTE (-550)))) -(-845 R |sigma| -4151) +(-845 R |sigma| -4150) ((|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."))) ((-4377 . T) (-4378 . T) (-4380 . T)) ((|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (LIST (QUOTE -1028) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (LIST (QUOTE -1028) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-450))) (|HasCategory| |#1| (QUOTE (-362)))) -(-846 |x| R |sigma| -4151) +(-846 |x| R |sigma| -4150) ((|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}."))) ((-4377 . T) (-4378 . T) (-4380 . T)) ((|HasCategory| |#2| (QUOTE (-171))) (|HasCategory| |#2| (LIST (QUOTE -1028) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#2| (LIST (QUOTE -1028) (QUOTE (-558)))) (|HasCategory| |#2| (QUOTE (-550))) (|HasCategory| |#2| (QUOTE (-450))) (|HasCategory| |#2| (QUOTE (-362)))) @@ -3448,7 +3448,7 @@ 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 -(-880 R -2922) +(-880 R -2921) ((|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 @@ -3472,7 +3472,7 @@ 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 -(-886 UP -3198) +(-886 UP -3199) ((|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 @@ -3532,7 +3532,7 @@ 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."))) ((-4375 . T) (-4381 . T) (-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) ((|HasCategory| $ (QUOTE (-146))) (|HasCategory| $ (QUOTE (-144))) (|HasCategory| $ (QUOTE (-367)))) -(-901 R0 -3198 UP UPUP R) +(-901 R0 -3199 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 @@ -3560,7 +3560,7 @@ 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(\\spad{li})} constructs the janko group acting on the 100 integers given in the list {\\em \\spad{li}}. Note: duplicates in the list will be removed. Error: if {\\em \\spad{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(\\spad{li})} constructs the mathieu group acting on the 24 integers given in the list {\\em \\spad{li}}. Note: duplicates in the list will be removed. Error: if {\\em \\spad{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(\\spad{li})} constructs the mathieu group acting on the 23 integers given in the list {\\em \\spad{li}}. Note: duplicates in the list will be removed. Error: if {\\em \\spad{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(\\spad{li})} constructs the mathieu group acting on the 22 integers given in the list {\\em \\spad{li}}. Note: duplicates in the list will be removed. Error: if {\\em \\spad{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(\\spad{li})} constructs the mathieu group acting on the 12 integers given in the list {\\em \\spad{li}}. Note: duplicates in the list will be removed Error: if {\\em \\spad{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(\\spad{li})} constructs the mathieu group acting on the 11 integers given in the list {\\em \\spad{li}}. Note: duplicates in the list will be removed. error,{} if {\\em \\spad{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 \\spad{ni}}.")) (|alternatingGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{alternatingGroup(\\spad{li})} constructs the alternating group acting on the integers in the list {\\em \\spad{li}},{} generators are in general the {\\em n-2}-cycle {\\em (\\spad{li}.3,{}...,{}\\spad{li}.n)} and the 3-cycle {\\em (\\spad{li}.1,{}\\spad{li}.2,{}\\spad{li}.3)},{} if \\spad{n} is odd and product of the 2-cycle {\\em (\\spad{li}.1,{}\\spad{li}.2)} with {\\em n-2}-cycle {\\em (\\spad{li}.3,{}...,{}\\spad{li}.n)} and the 3-cycle {\\em (\\spad{li}.1,{}\\spad{li}.2,{}\\spad{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(\\spad{li})} constructs the symmetric group acting on the integers in the list {\\em \\spad{li}},{} generators are the cycle given by {\\em \\spad{li}} and the 2-cycle {\\em (\\spad{li}.1,{}\\spad{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 -(-908 -3198) +(-908 -3199) ((|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 @@ -3576,11 +3576,11 @@ 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}."))) (((-4385 "*") . T)) NIL -(-912 -3198 P) +(-912 -3199 P) ((|constructor| (NIL "This package exports interpolation algorithms")) (|LagrangeInterpolation| ((|#2| (|List| |#1|) (|List| |#1|)) "\\spad{LagrangeInterpolation(l1,{}l2)} \\undocumented"))) NIL NIL -(-913 |xx| -3198) +(-913 |xx| -3199) ((|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 @@ -3604,7 +3604,7 @@ NIL ((|constructor| (NIL "This package exports plotting tools")) (|calcRanges| (((|List| (|Segment| (|DoubleFloat|))) (|List| (|List| (|Point| (|DoubleFloat|))))) "\\spad{calcRanges(l)} \\undocumented"))) NIL NIL -(-919 R -3198) +(-919 R -3199) ((|constructor| (NIL "Attaching assertions to symbols for pattern matching; Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|multiple| ((|#2| |#2|) "\\spad{multiple(x)} tells the pattern matcher that \\spad{x} should preferably match a multi-term quantity in a sum or product. For matching on lists,{} multiple(\\spad{x}) tells the pattern matcher that \\spad{x} should match a list instead of an element of a list. Error: if \\spad{x} is not a symbol.")) (|optional| ((|#2| |#2|) "\\spad{optional(x)} tells the pattern matcher that \\spad{x} can match an identity (0 in a sum,{} 1 in a product or exponentiation). Error: if \\spad{x} is not a symbol.")) (|constant| ((|#2| |#2|) "\\spad{constant(x)} tells the pattern matcher that \\spad{x} should match only the symbol \\spad{'x} and no other quantity. Error: if \\spad{x} is not a symbol.")) (|assert| ((|#2| |#2| (|String|)) "\\spad{assert(x,{} s)} makes the assertion \\spad{s} about \\spad{x}. Error: if \\spad{x} is not a symbol."))) NIL NIL @@ -3616,7 +3616,7 @@ 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 -(-922 S R -3198) +(-922 S R -3199) ((|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 @@ -3636,11 +3636,11 @@ 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 -876) (|devaluate| |#1|)))) -(-927 R -3198 -2922) +(-927 R -3199 -2921) ((|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 -(-928 -2922) +(-928 -2921) ((|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 @@ -3688,7 +3688,7 @@ 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}."))) (((-4385 "*") |has| |#1| (-171)) (-4376 |has| |#1| (-550)) (-4381 |has| |#1| (-6 -4381)) (-4378 . T) (-4377 . T) (-4380 . T)) NIL -(-940 E V R P -3198) +(-940 E V R P -3199) ((|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 @@ -3700,7 +3700,7 @@ NIL ((|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}."))) (((-4385 "*") |has| |#1| (-171)) (-4376 |has| |#1| (-550)) (-4381 |has| |#1| (-6 -4381)) (-4378 . T) (-4377 . T) (-4380 . T)) ((|HasCategory| |#1| (QUOTE (-899))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-450))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-899)))) (-3996 (|HasCategory| |#1| (QUOTE (-450))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-899)))) (-3996 (|HasCategory| |#1| (QUOTE (-450))) (|HasCategory| |#1| (QUOTE (-899)))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasCategory| (-1163) (LIST (QUOTE -876) (QUOTE (-378)))) (|HasCategory| |#1| (LIST (QUOTE -876) (QUOTE (-378))))) (-12 (|HasCategory| (-1163) (LIST (QUOTE -876) (QUOTE (-558)))) (|HasCategory| |#1| (LIST (QUOTE -876) (QUOTE (-558))))) (-12 (|HasCategory| (-1163) (LIST (QUOTE -606) (LIST (QUOTE -882) (QUOTE (-378))))) (|HasCategory| |#1| (LIST (QUOTE -606) (LIST (QUOTE -882) (QUOTE (-378)))))) (-12 (|HasCategory| (-1163) (LIST (QUOTE -606) (LIST (QUOTE -882) (QUOTE (-558))))) (|HasCategory| |#1| (LIST (QUOTE -606) (LIST (QUOTE -882) (QUOTE (-558)))))) (-12 (|HasCategory| (-1163) (LIST (QUOTE -606) (QUOTE (-534)))) (|HasCategory| |#1| (LIST (QUOTE -606) (QUOTE (-534))))) (|HasCategory| |#1| (QUOTE (-841))) (|HasCategory| |#1| (LIST (QUOTE -631) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (LIST (QUOTE -1028) (QUOTE (-558)))) (-3996 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (LIST (QUOTE -1028) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasCategory| |#1| (LIST (QUOTE -1028) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-362))) (|HasAttribute| |#1| (QUOTE -4381)) (|HasCategory| |#1| (QUOTE (-450))) (-12 (|HasCategory| $ (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-899)))) (-3996 (-12 (|HasCategory| $ (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-899)))) (|HasCategory| |#1| (QUOTE (-144))))) -(-943 E V R P -3198) +(-943 E V R P -3199) ((|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| $) "\\spad{numer(x)} \\undocumented"))) NIL ((|HasCategory| |#3| (QUOTE (-450)))) @@ -3728,7 +3728,7 @@ NIL ((|constructor| (NIL "Category for the functions defined by integrals.")) (|integral| (($ $ (|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 -(-950 -3198) +(-950 -3199) ((|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{\\spad{ai} = \\spad{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{\\spad{ai} = \\spad{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 @@ -3828,7 +3828,7 @@ 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 -(-975 K R UP -3198) +(-975 K R UP -3199) ((|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{\\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{\\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{\\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{\\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{\\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{\\spad{wi} = sum(bij * vj,{} j = 1..n)}."))) NIL NIL @@ -3900,7 +3900,7 @@ 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 -(-993 -3198 UP UPUP |radicnd| |n|) +(-993 -3199 UP UPUP |radicnd| |n|) ((|constructor| (NIL "Function field defined by y**n = \\spad{f}(\\spad{x})."))) ((-4376 |has| (-406 |#2|) (-362)) (-4381 |has| (-406 |#2|) (-362)) (-4375 |has| (-406 |#2|) (-362)) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) ((|HasCategory| (-406 |#2|) (QUOTE (-144))) (|HasCategory| (-406 |#2|) (QUOTE (-146))) (|HasCategory| (-406 |#2|) (QUOTE (-348))) (-3996 (|HasCategory| (-406 |#2|) (QUOTE (-362))) (|HasCategory| (-406 |#2|) (QUOTE (-348)))) (|HasCategory| (-406 |#2|) (QUOTE (-362))) (|HasCategory| (-406 |#2|) (QUOTE (-367))) (-3996 (-12 (|HasCategory| (-406 |#2|) (QUOTE (-232))) (|HasCategory| (-406 |#2|) (QUOTE (-362)))) (|HasCategory| (-406 |#2|) (QUOTE (-348)))) (-3996 (-12 (|HasCategory| (-406 |#2|) (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasCategory| (-406 |#2|) (QUOTE (-362)))) (-12 (|HasCategory| (-406 |#2|) (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasCategory| (-406 |#2|) (QUOTE (-348))))) (|HasCategory| (-406 |#2|) (LIST (QUOTE -631) (QUOTE (-558)))) (-3996 (|HasCategory| (-406 |#2|) (LIST (QUOTE -1028) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| (-406 |#2|) (QUOTE (-362)))) (|HasCategory| (-406 |#2|) (LIST (QUOTE -1028) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| (-406 |#2|) (LIST (QUOTE -1028) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-367))) (-12 (|HasCategory| (-406 |#2|) (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasCategory| (-406 |#2|) (QUOTE (-362)))) (-12 (|HasCategory| (-406 |#2|) (QUOTE (-232))) (|HasCategory| (-406 |#2|) (QUOTE (-362))))) @@ -3940,19 +3940,19 @@ 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}}"))) ((-4376 . T) (-4381 . T) (-4375 . T) (-4378 . T) (-4377 . T) ((-4385 "*") . T) (-4380 . T)) NIL -(-1003 R -3198) +(-1003 R -3199) ((|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 -(-1004 R -3198) +(-1004 R -3199) ((|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 -(-1005 -3198 UP) +(-1005 -3199 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 -(-1006 -3198 UP) +(-1006 -3199 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 @@ -3988,7 +3988,7 @@ NIL ((|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"))) ((-4376 . T) (-4381 . T) (-4375 . T) (-4378 . T) (-4377 . T) ((-4385 "*") . T) (-4380 . T)) ((-3996 (|HasCategory| (-406 (-558)) (LIST (QUOTE -1028) (QUOTE (-558)))) (|HasCategory| |#1| (LIST (QUOTE -1028) (QUOTE (-558))))) (|HasCategory| |#1| (LIST (QUOTE -1028) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (LIST (QUOTE -1028) (QUOTE (-558)))) (|HasCategory| (-406 (-558)) (LIST (QUOTE -1028) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| (-406 (-558)) (LIST (QUOTE -1028) (QUOTE (-558))))) -(-1015 -3198 L) +(-1015 -3199 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{\\spad{fi}} must satisfy \\spad{op \\spad{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 @@ -4024,7 +4024,7 @@ 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 -(-1024 -3198 |Expon| |VarSet| |FPol| |LFPol|) +(-1024 -3199 |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"))) (((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) NIL @@ -4088,7 +4088,7 @@ 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."))) ((-4380 . T)) NIL -(-1040 |xx| -3198) +(-1040 |xx| -3199) ((|constructor| (NIL "This package exports rational interpolation algorithms"))) NIL NIL @@ -4180,11 +4180,11 @@ NIL ((|constructor| (NIL "This domain implements named rules")) (|name| (((|Symbol|) $) "\\spad{name(x)} returns the symbol"))) NIL NIL -(-1063 |Base| R -3198) +(-1063 |Base| R -3199) ((|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 -(-1064 |Base| R -3198) +(-1064 |Base| R -3199) ((|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 @@ -4340,7 +4340,7 @@ 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 -(-1103 R -3198) +(-1103 R -3199) ((|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 @@ -4388,7 +4388,7 @@ NIL ((|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}"))) ((-4384 . T) (-4383 . T)) NIL -(-1115 UP -3198) +(-1115 UP -3199) ((|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 @@ -4547,8 +4547,8 @@ NIL (-1154 |Coef| |var| |cen|) ((|constructor| (NIL "Sparse Laurent series in one variable \\indented{2}{\\spadtype{SparseUnivariateLaurentSeries} is a domain representing Laurent} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariateLaurentSeries(Integer,{}x,{}3)} represents Laurent} \\indented{2}{series in \\spad{(x - 3)} with integer coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Laurent series."))) (((-4385 "*") -3996 (-2113 (|has| |#1| (-362)) (|has| (-1161 |#1| |#2| |#3|) (-811))) (|has| |#1| (-171)) (-2113 (|has| |#1| (-362)) (|has| (-1161 |#1| |#2| |#3|) (-899)))) (-4376 -3996 (-2113 (|has| |#1| (-362)) (|has| (-1161 |#1| |#2| |#3|) (-811))) (|has| |#1| (-550)) (-2113 (|has| |#1| (-362)) (|has| (-1161 |#1| |#2| |#3|) (-899)))) (-4381 |has| |#1| (-362)) (-4375 |has| |#1| (-362)) (-4377 . T) (-4378 . T) (-4380 . 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We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} computes the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,{}k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) (((-4385 "*") |has| |#1| (-171)) (-4376 |has| |#1| (-550)) (-4377 . T) (-4378 . T) (-4380 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-762)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-762)) (|devaluate| |#1|)))) (|HasCategory| (-762) (QUOTE (-1099))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-762))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-762))))) (|HasCategory| |#1| (QUOTE (-362))) (-3996 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -3710) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2664) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-762)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-762)) (|devaluate| |#1|)))) (|HasCategory| (-762) (QUOTE (-1099))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-762))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-762))))) (|HasCategory| |#1| (QUOTE (-362))) (-3996 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -3221) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2664) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) (-1162) ((|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 @@ -4684,7 +4684,7 @@ 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 -(-1189 R -3198) +(-1189 R -3199) ((|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 @@ -4692,7 +4692,7 @@ 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 -(-1191 R -3198) +(-1191 R -3199) ((|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 -606) (LIST (QUOTE -882) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -876) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -606) (LIST (QUOTE -882) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -876) (|devaluate| |#1|))))) @@ -4720,7 +4720,7 @@ 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 (-1087))) (|HasCategory| |#1| (LIST (QUOTE -605) (QUOTE (-853))))) -(-1198 -3198) +(-1198 -3199) ((|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}."))) 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|#1| (QUOTE (-362)))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3996 (-12 (|HasCategory| (-1238 |#1| |#2| |#3|) (QUOTE (-811))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| (-1238 |#1| |#2| |#3|) (QUOTE (-899))) (|HasCategory| |#1| (QUOTE (-362)))) (|HasCategory| |#1| (QUOTE (-171)))) (-12 (|HasCategory| (-1238 |#1| |#2| |#3|) (QUOTE (-841))) (|HasCategory| |#1| (QUOTE (-362)))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (-12 (|HasCategory| $ (QUOTE (-144))) (|HasCategory| (-1238 |#1| |#2| |#3|) (QUOTE (-899))) (|HasCategory| |#1| (QUOTE (-362)))) (-3996 (-12 (|HasCategory| $ (QUOTE (-144))) (|HasCategory| (-1238 |#1| |#2| |#3|) (QUOTE (-899))) (|HasCategory| |#1| (QUOTE (-362)))) (-12 (|HasCategory| (-1238 |#1| |#2| |#3|) (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-362)))) (|HasCategory| |#1| (QUOTE (-144))))) (-1211 ZP) ((|constructor| (NIL "Package for the factorization of univariate polynomials with integer coefficients. The factorization is done by \"lifting\" (HENSEL) the factorization over a finite field.")) (|henselFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|)) "\\spad{henselFact(m,{}flag)} returns the factorization of \\spad{m},{} FinalFact is a Record \\spad{s}.\\spad{t}. FinalFact.contp=content \\spad{m},{} FinalFact.factors=List of irreducible factors of \\spad{m} with exponent ,{} if \\spad{flag} =true the polynomial is assumed square free.")) (|factorSquareFree| (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(m)} returns the factorization of \\spad{m} square free polynomial")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(m)} returns the factorization of \\spad{m}"))) NIL @@ -4851,11 +4851,11 @@ NIL (-1230 |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)}."))) (((-4385 "*") |has| |#1| (-171)) (-4376 |has| |#1| (-550)) (-4381 |has| |#1| (-362)) (-4375 |has| |#1| (-362)) (-4377 . T) (-4378 . T) (-4380 . T)) -((|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3996 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3996 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -3710) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2664) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) +((|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3996 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3996 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -3221) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2664) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-1231 |Coef| |var| |cen|) ((|constructor| (NIL "Dense Puiseux series in one variable \\indented{2}{\\spadtype{UnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{UnivariatePuiseuxSeries(Integer,{}x,{}3)} represents Puiseux series in} \\indented{2}{\\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}."))) (((-4385 "*") |has| |#1| (-171)) (-4376 |has| |#1| (-550)) (-4381 |has| |#1| (-362)) (-4375 |has| |#1| (-362)) (-4377 . T) (-4378 . T) (-4380 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3996 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3996 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -3710) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2664) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (|HasCategory| |#1| (QUOTE (-171))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558))) (|devaluate| |#1|)))) (|HasCategory| (-406 (-558)) (QUOTE (-1099))) (|HasCategory| |#1| (QUOTE (-362))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-3996 (|HasCategory| |#1| (QUOTE (-362))) (|HasCategory| |#1| (QUOTE (-550)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -406) (QUOTE (-558)))))) (-3996 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -3221) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2664) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) (-1232 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") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> cen+,{}f(var))}."))) (((-4385 "*") |has| (-1231 |#2| |#3| |#4|) (-171)) (-4376 |has| (-1231 |#2| |#3| |#4|) (-550)) (-4377 . T) (-4378 . T) (-4380 . T)) @@ -4875,7 +4875,7 @@ NIL (-1236 S |Coef|) ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|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 (-558)))) (|HasCategory| |#2| (QUOTE (-949))) (|HasCategory| |#2| (QUOTE (-1185))) (|HasSignature| |#2| (LIST (QUOTE -2664) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -3710) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1163))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#2| (QUOTE (-362)))) +((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#2| (QUOTE (-949))) (|HasCategory| |#2| (QUOTE (-1185))) (|HasSignature| |#2| (LIST (QUOTE -2664) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -3221) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1163))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#2| (QUOTE (-362)))) (-1237 |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."))) (((-4385 "*") |has| |#1| (-171)) (-4376 |has| |#1| (-550)) (-4377 . T) (-4378 . T) (-4380 . T)) @@ -4883,12 +4883,12 @@ NIL (-1238 |Coef| |var| |cen|) ((|constructor| (NIL "Dense Taylor series in one variable \\spadtype{UnivariateTaylorSeries} is a domain representing Taylor series in one variable with coefficients in an arbitrary ring. The parameters of the type specify the coefficient ring,{} the power series variable,{} and the center of the power series expansion. For example,{} \\spadtype{UnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),{}x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|invmultisect| (($ (|Integer|) (|Integer|) $) "\\spad{invmultisect(a,{}b,{}f(x))} substitutes \\spad{x^((a+b)*n)} \\indented{1}{for \\spad{x^n} and multiples by \\spad{x^b}.}")) (|multisect| (($ (|Integer|) (|Integer|) $) "\\spad{multisect(a,{}b,{}f(x))} selects the coefficients of \\indented{1}{\\spad{x^((a+b)*n+a)},{} and changes this monomial to \\spad{x^n}.}")) (|revert| (($ $) "\\spad{revert(f(x))} returns a Taylor series \\spad{g(x)} such that \\spad{f(g(x)) = g(f(x)) = x}. Series \\spad{f(x)} should have constant coefficient 0 and 1st order coefficient 1.")) (|generalLambert| (($ $ (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),{}a,{}d)} returns \\spad{f(x^a) + f(x^(a + d)) + \\indented{1}{f(x^(a + 2 d)) + ... }. \\spad{f(x)} should have zero constant} \\indented{1}{coefficient and \\spad{a} and \\spad{d} should be positive.}")) (|evenlambert| (($ $) "\\spad{evenlambert(f(x))} returns \\spad{f(x^2) + f(x^4) + f(x^6) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,{}f(x^(2*n))) = exp(log(evenlambert(f(x))))}.}")) (|oddlambert| (($ $) "\\spad{oddlambert(f(x))} returns \\spad{f(x) + f(x^3) + f(x^5) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,{}f(x^(2*n-1)))=exp(log(oddlambert(f(x))))}.}")) (|lambert| (($ $) "\\spad{lambert(f(x))} returns \\spad{f(x) + f(x^2) + f(x^3) + ...}. \\indented{1}{This function is used for computing infinite products.} \\indented{1}{\\spad{f(x)} should have zero constant coefficient.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n = 1..infinity,{}f(x^n)) = exp(log(lambert(f(x))))}.}")) (|lagrange| (($ $) "\\spad{lagrange(g(x))} produces the Taylor series for \\spad{f(x)} \\indented{1}{where \\spad{f(x)} is implicitly defined as \\spad{f(x) = x*g(f(x))}.}")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} computes the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,{}k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) (((-4385 "*") |has| |#1| (-171)) (-4376 |has| |#1| (-550)) (-4377 . T) (-4378 . T) (-4380 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-762)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-762)) (|devaluate| |#1|)))) (|HasCategory| (-762) (QUOTE (-1099))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-762))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-762))))) (|HasCategory| |#1| (QUOTE (-362))) (-3996 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -3710) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2664) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasCategory| |#1| (QUOTE (-550))) (-3996 (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-550)))) (|HasCategory| |#1| (QUOTE (-171))) (|HasCategory| |#1| (QUOTE (-144))) (|HasCategory| |#1| (QUOTE (-146))) (-12 (|HasCategory| |#1| (LIST (QUOTE -890) (QUOTE (-1163)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-762)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-762)) (|devaluate| |#1|)))) (|HasCategory| (-762) (QUOTE (-1099))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-762))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (|devaluate| |#1|) (QUOTE (-1163)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-762))))) (|HasCategory| |#1| (QUOTE (-362))) (-3996 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-558)))) (|HasCategory| |#1| (QUOTE (-949))) (|HasCategory| |#1| (QUOTE (-1185))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -406) (QUOTE (-558))))) (|HasSignature| |#1| (LIST (QUOTE -3221) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1163))))) (|HasSignature| |#1| (LIST (QUOTE -2664) (LIST (LIST (QUOTE -635) (QUOTE (-1163))) (|devaluate| |#1|))))))) (-1239 |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 -(-1240 -3198 UP L UTS) +(-1240 -3199 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 (-550)))) @@ -4948,7 +4948,7 @@ 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 -(-1255 K R UP -3198) +(-1255 K R UP -3199) ((|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{\\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{\\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{\\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{\\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{\\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{\\spad{wi} = sum(bij * vj,{} j = 1..n)}."))) NIL NIL @@ -4984,11 +4984,11 @@ 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| $) "\\spad{v * x} returns the product of a variable \\spad{x} by \\spad{x}."))) ((-4376 |has| |#2| (-6 -4376)) (-4378 . T) (-4377 . T) (-4380 . T)) NIL -(-1264 S -3198) +(-1264 S -3199) ((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|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|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}."))) NIL ((|HasCategory| |#2| (QUOTE (-367))) (|HasCategory| |#2| (QUOTE (-144))) (|HasCategory| |#2| (QUOTE (-146)))) -(-1265 -3198) +(-1265 -3199) ((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|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}."))) ((-4375 . T) (-4381 . T) (-4376 . T) ((-4385 "*") . T) (-4377 . T) (-4378 . T) (-4380 . T)) NIL @@ -5044,4 +5044,4 @@ NIL NIL NIL NIL -((-3 NIL 2276369 2276374 2276379 2276384) (-2 NIL 2276349 2276354 2276359 2276364) (-1 NIL 2276329 2276334 2276339 2276344) (0 NIL 2276309 2276314 2276319 2276324) (-1274 "ZMOD.spad" 2276118 2276131 2276247 2276304) (-1273 "ZLINDEP.spad" 2275162 2275173 2276108 2276113) (-1272 "ZDSOLVE.spad" 2265011 2265033 2275152 2275157) (-1271 "YSTREAM.spad" 2264504 2264515 2265001 2265006) (-1270 "XRPOLY.spad" 2263724 2263744 2264360 2264429) (-1269 "XPR.spad" 2261515 2261528 2263442 2263541) (-1268 "XPOLY.spad" 2261070 2261081 2261371 2261440) (-1267 "XPOLYC.spad" 2260387 2260403 2260996 2261065) (-1266 "XPBWPOLY.spad" 2258824 2258844 2260167 2260236) (-1265 "XF.spad" 2257285 2257300 2258726 2258819) (-1264 "XF.spad" 2255726 2255743 2257169 2257174) (-1263 "XFALG.spad" 2252750 2252766 2255652 2255721) (-1262 "XEXPPKG.spad" 2252001 2252027 2252740 2252745) (-1261 "XDPOLY.spad" 2251615 2251631 2251857 2251926) (-1260 "XALG.spad" 2251275 2251286 2251571 2251610) (-1259 "WUTSET.spad" 2247114 2247131 2250921 2250948) (-1258 "WP.spad" 2246313 2246357 2246972 2247039) (-1257 "WHILEAST.spad" 2246111 2246120 2246303 2246308) (-1256 "WHEREAST.spad" 2245782 2245791 2246101 2246106) (-1255 "WFFINTBS.spad" 2243345 2243367 2245772 2245777) (-1254 "WEIER.spad" 2241559 2241570 2243335 2243340) (-1253 "VSPACE.spad" 2241232 2241243 2241527 2241554) (-1252 "VSPACE.spad" 2240925 2240938 2241222 2241227) (-1251 "VOID.spad" 2240602 2240611 2240915 2240920) (-1250 "VIEW.spad" 2238224 2238233 2240592 2240597) (-1249 "VIEWDEF.spad" 2233421 2233430 2238214 2238219) (-1248 "VIEW3D.spad" 2217256 2217265 2233411 2233416) (-1247 "VIEW2D.spad" 2204993 2205002 2217246 2217251) (-1246 "VECTOR.spad" 2203668 2203679 2203919 2203946) (-1245 "VECTOR2.spad" 2202295 2202308 2203658 2203663) (-1244 "VECTCAT.spad" 2200195 2200206 2202263 2202290) (-1243 "VECTCAT.spad" 2197903 2197916 2199973 2199978) (-1242 "VARIABLE.spad" 2197683 2197698 2197893 2197898) (-1241 "UTYPE.spad" 2197327 2197336 2197673 2197678) (-1240 "UTSODETL.spad" 2196620 2196644 2197283 2197288) (-1239 "UTSODE.spad" 2194808 2194828 2196610 2196615) (-1238 "UTS.spad" 2189597 2189625 2193275 2193372) (-1237 "UTSCAT.spad" 2187048 2187064 2189495 2189592) (-1236 "UTSCAT.spad" 2184143 2184161 2186592 2186597) (-1235 "UTS2.spad" 2183736 2183771 2184133 2184138) (-1234 "URAGG.spad" 2178368 2178379 2183726 2183731) (-1233 "URAGG.spad" 2172964 2172977 2178324 2178329) (-1232 "UPXSSING.spad" 2170607 2170633 2172045 2172178) (-1231 "UPXS.spad" 2167755 2167783 2168739 2168888) (-1230 "UPXSCONS.spad" 2165512 2165532 2165887 2166036) (-1229 "UPXSCCA.spad" 2164077 2164097 2165358 2165507) (-1228 "UPXSCCA.spad" 2162784 2162806 2164067 2164072) (-1227 "UPXSCAT.spad" 2161365 2161381 2162630 2162779) (-1226 "UPXS2.spad" 2160906 2160959 2161355 2161360) (-1225 "UPSQFREE.spad" 2159318 2159332 2160896 2160901) (-1224 "UPSCAT.spad" 2156911 2156935 2159216 2159313) (-1223 "UPSCAT.spad" 2154210 2154236 2156517 2156522) (-1222 "UPOLYC.spad" 2149188 2149199 2154052 2154205) (-1221 "UPOLYC.spad" 2144058 2144071 2148924 2148929) (-1220 "UPOLYC2.spad" 2143527 2143546 2144048 2144053) (-1219 "UP.spad" 2140684 2140699 2141077 2141230) (-1218 "UPMP.spad" 2139574 2139587 2140674 2140679) (-1217 "UPDIVP.spad" 2139137 2139151 2139564 2139569) (-1216 "UPDECOMP.spad" 2137374 2137388 2139127 2139132) (-1215 "UPCDEN.spad" 2136581 2136597 2137364 2137369) (-1214 "UP2.spad" 2135943 2135964 2136571 2136576) (-1213 "UNISEG.spad" 2135296 2135307 2135862 2135867) (-1212 "UNISEG2.spad" 2134789 2134802 2135252 2135257) (-1211 "UNIFACT.spad" 2133890 2133902 2134779 2134784) (-1210 "ULS.spad" 2124442 2124470 2125535 2125964) (-1209 "ULSCONS.spad" 2116836 2116856 2117208 2117357) (-1208 "ULSCCAT.spad" 2114565 2114585 2116682 2116831) (-1207 "ULSCCAT.spad" 2112402 2112424 2114521 2114526) (-1206 "ULSCAT.spad" 2110618 2110634 2112248 2112397) (-1205 "ULS2.spad" 2110130 2110183 2110608 2110613) (-1204 "UFD.spad" 2109195 2109204 2110056 2110125) (-1203 "UFD.spad" 2108322 2108333 2109185 2109190) (-1202 "UDVO.spad" 2107169 2107178 2108312 2108317) (-1201 "UDPO.spad" 2104596 2104607 2107125 2107130) (-1200 "TYPE.spad" 2104528 2104537 2104586 2104591) (-1199 "TYPEAST.spad" 2104447 2104456 2104518 2104523) (-1198 "TWOFACT.spad" 2103097 2103112 2104437 2104442) (-1197 "TUPLE.spad" 2102581 2102592 2102996 2103001) (-1196 "TUBETOOL.spad" 2099418 2099427 2102571 2102576) (-1195 "TUBE.spad" 2098059 2098076 2099408 2099413) (-1194 "TS.spad" 2096648 2096664 2097624 2097721) (-1193 "TSETCAT.spad" 2083775 2083792 2096616 2096643) (-1192 "TSETCAT.spad" 2070888 2070907 2083731 2083736) (-1191 "TRMANIP.spad" 2065254 2065271 2070594 2070599) (-1190 "TRIMAT.spad" 2064213 2064238 2065244 2065249) (-1189 "TRIGMNIP.spad" 2062730 2062747 2064203 2064208) (-1188 "TRIGCAT.spad" 2062242 2062251 2062720 2062725) (-1187 "TRIGCAT.spad" 2061752 2061763 2062232 2062237) (-1186 "TREE.spad" 2060323 2060334 2061359 2061386) (-1185 "TRANFUN.spad" 2060154 2060163 2060313 2060318) (-1184 "TRANFUN.spad" 2059983 2059994 2060144 2060149) (-1183 "TOPSP.spad" 2059657 2059666 2059973 2059978) (-1182 "TOOLSIGN.spad" 2059320 2059331 2059647 2059652) (-1181 "TEXTFILE.spad" 2057877 2057886 2059310 2059315) (-1180 "TEX.spad" 2055009 2055018 2057867 2057872) (-1179 "TEX1.spad" 2054565 2054576 2054999 2055004) (-1178 "TEMUTL.spad" 2054120 2054129 2054555 2054560) (-1177 "TBCMPPK.spad" 2052213 2052236 2054110 2054115) (-1176 "TBAGG.spad" 2051249 2051272 2052193 2052208) (-1175 "TBAGG.spad" 2050293 2050318 2051239 2051244) (-1174 "TANEXP.spad" 2049669 2049680 2050283 2050288) (-1173 "TABLE.spad" 2048080 2048103 2048350 2048377) (-1172 "TABLEAU.spad" 2047561 2047572 2048070 2048075) (-1171 "TABLBUMP.spad" 2044344 2044355 2047551 2047556) (-1170 "SYSTEM.spad" 2043618 2043627 2044334 2044339) (-1169 "SYSSOLP.spad" 2041091 2041102 2043608 2043613) (-1168 "SYNTAX.spad" 2037361 2037370 2041081 2041086) (-1167 "SYMTAB.spad" 2035417 2035426 2037351 2037356) (-1166 "SYMS.spad" 2031402 2031411 2035407 2035412) (-1165 "SYMPOLY.spad" 2030409 2030420 2030491 2030618) (-1164 "SYMFUNC.spad" 2029884 2029895 2030399 2030404) (-1163 "SYMBOL.spad" 2027311 2027320 2029874 2029879) (-1162 "SWITCH.spad" 2024068 2024077 2027301 2027306) (-1161 "SUTS.spad" 2020967 2020995 2022535 2022632) (-1160 "SUPXS.spad" 2018102 2018130 2019099 2019248) (-1159 "SUP.spad" 2014871 2014882 2015652 2015805) (-1158 "SUPFRACF.spad" 2013976 2013994 2014861 2014866) (-1157 "SUP2.spad" 2013366 2013379 2013966 2013971) (-1156 "SUMRF.spad" 2012332 2012343 2013356 2013361) (-1155 "SUMFS.spad" 2011965 2011982 2012322 2012327) (-1154 "SULS.spad" 2002504 2002532 2003610 2004039) (-1153 "SUCHTAST.spad" 2002273 2002282 2002494 2002499) (-1152 "SUCH.spad" 2001953 2001968 2002263 2002268) (-1151 "SUBSPACE.spad" 1993960 1993975 2001943 2001948) (-1150 "SUBRESP.spad" 1993120 1993134 1993916 1993921) (-1149 "STTF.spad" 1989219 1989235 1993110 1993115) (-1148 "STTFNC.spad" 1985687 1985703 1989209 1989214) (-1147 "STTAYLOR.spad" 1978085 1978096 1985568 1985573) (-1146 "STRTBL.spad" 1976590 1976607 1976739 1976766) (-1145 "STRING.spad" 1975999 1976008 1976013 1976040) (-1144 "STRICAT.spad" 1975787 1975796 1975967 1975994) (-1143 "STREAM.spad" 1972645 1972656 1975312 1975327) (-1142 "STREAM3.spad" 1972190 1972205 1972635 1972640) (-1141 "STREAM2.spad" 1971258 1971271 1972180 1972185) (-1140 "STREAM1.spad" 1970962 1970973 1971248 1971253) (-1139 "STINPROD.spad" 1969868 1969884 1970952 1970957) (-1138 "STEP.spad" 1969069 1969078 1969858 1969863) (-1137 "STBL.spad" 1967595 1967623 1967762 1967777) (-1136 "STAGG.spad" 1966670 1966681 1967585 1967590) (-1135 "STAGG.spad" 1965743 1965756 1966660 1966665) (-1134 "STACK.spad" 1965094 1965105 1965350 1965377) (-1133 "SREGSET.spad" 1962798 1962815 1964740 1964767) (-1132 "SRDCMPK.spad" 1961343 1961363 1962788 1962793) (-1131 "SRAGG.spad" 1956440 1956449 1961311 1961338) (-1130 "SRAGG.spad" 1951557 1951568 1956430 1956435) (-1129 "SQMATRIX.spad" 1949173 1949191 1950089 1950176) (-1128 "SPLTREE.spad" 1943725 1943738 1948609 1948636) (-1127 "SPLNODE.spad" 1940313 1940326 1943715 1943720) (-1126 "SPFCAT.spad" 1939090 1939099 1940303 1940308) (-1125 "SPECOUT.spad" 1937640 1937649 1939080 1939085) (-1124 "SPADXPT.spad" 1929779 1929788 1937630 1937635) (-1123 "spad-parser.spad" 1929244 1929253 1929769 1929774) (-1122 "SPADAST.spad" 1928945 1928954 1929234 1929239) (-1121 "SPACEC.spad" 1912958 1912969 1928935 1928940) (-1120 "SPACE3.spad" 1912734 1912745 1912948 1912953) (-1119 "SORTPAK.spad" 1912279 1912292 1912690 1912695) (-1118 "SOLVETRA.spad" 1910036 1910047 1912269 1912274) (-1117 "SOLVESER.spad" 1908556 1908567 1910026 1910031) (-1116 "SOLVERAD.spad" 1904566 1904577 1908546 1908551) (-1115 "SOLVEFOR.spad" 1902986 1903004 1904556 1904561) (-1114 "SNTSCAT.spad" 1902586 1902603 1902954 1902981) (-1113 "SMTS.spad" 1900846 1900872 1902151 1902248) (-1112 "SMP.spad" 1898285 1898305 1898675 1898802) (-1111 "SMITH.spad" 1897128 1897153 1898275 1898280) (-1110 "SMATCAT.spad" 1895238 1895268 1897072 1897123) (-1109 "SMATCAT.spad" 1893280 1893312 1895116 1895121) (-1108 "SKAGG.spad" 1892241 1892252 1893248 1893275) (-1107 "SINT.spad" 1891067 1891076 1892107 1892236) (-1106 "SIMPAN.spad" 1890795 1890804 1891057 1891062) (-1105 "SIG.spad" 1890123 1890132 1890785 1890790) (-1104 "SIGNRF.spad" 1889231 1889242 1890113 1890118) (-1103 "SIGNEF.spad" 1888500 1888517 1889221 1889226) (-1102 "SIGAST.spad" 1887881 1887890 1888490 1888495) (-1101 "SHP.spad" 1885799 1885814 1887837 1887842) (-1100 "SHDP.spad" 1875510 1875537 1876019 1876150) (-1099 "SGROUP.spad" 1875118 1875127 1875500 1875505) (-1098 "SGROUP.spad" 1874724 1874735 1875108 1875113) (-1097 "SGCF.spad" 1867605 1867614 1874714 1874719) (-1096 "SFRTCAT.spad" 1866533 1866550 1867573 1867600) (-1095 "SFRGCD.spad" 1865596 1865616 1866523 1866528) (-1094 "SFQCMPK.spad" 1860233 1860253 1865586 1865591) (-1093 "SFORT.spad" 1859668 1859682 1860223 1860228) (-1092 "SEXOF.spad" 1859511 1859551 1859658 1859663) (-1091 "SEX.spad" 1859403 1859412 1859501 1859506) (-1090 "SEXCAT.spad" 1856954 1856994 1859393 1859398) (-1089 "SET.spad" 1855254 1855265 1856375 1856414) (-1088 "SETMN.spad" 1853688 1853705 1855244 1855249) (-1087 "SETCAT.spad" 1853173 1853182 1853678 1853683) (-1086 "SETCAT.spad" 1852656 1852667 1853163 1853168) (-1085 "SETAGG.spad" 1849177 1849188 1852636 1852651) (-1084 "SETAGG.spad" 1845706 1845719 1849167 1849172) (-1083 "SEQAST.spad" 1845409 1845418 1845696 1845701) (-1082 "SEGXCAT.spad" 1844531 1844544 1845399 1845404) (-1081 "SEG.spad" 1844344 1844355 1844450 1844455) (-1080 "SEGCAT.spad" 1843251 1843262 1844334 1844339) (-1079 "SEGBIND.spad" 1842323 1842334 1843206 1843211) (-1078 "SEGBIND2.spad" 1842019 1842032 1842313 1842318) (-1077 "SEGAST.spad" 1841733 1841742 1842009 1842014) (-1076 "SEG2.spad" 1841158 1841171 1841689 1841694) (-1075 "SDVAR.spad" 1840434 1840445 1841148 1841153) (-1074 "SDPOL.spad" 1837824 1837835 1838115 1838242) (-1073 "SCPKG.spad" 1835903 1835914 1837814 1837819) (-1072 "SCOPE.spad" 1835048 1835057 1835893 1835898) (-1071 "SCACHE.spad" 1833730 1833741 1835038 1835043) (-1070 "SASTCAT.spad" 1833639 1833648 1833720 1833725) (-1069 "SAOS.spad" 1833511 1833520 1833629 1833634) (-1068 "SAERFFC.spad" 1833224 1833244 1833501 1833506) (-1067 "SAE.spad" 1831399 1831415 1832010 1832145) (-1066 "SAEFACT.spad" 1831100 1831120 1831389 1831394) (-1065 "RURPK.spad" 1828741 1828757 1831090 1831095) (-1064 "RULESET.spad" 1828182 1828206 1828731 1828736) (-1063 "RULE.spad" 1826386 1826410 1828172 1828177) (-1062 "RULECOLD.spad" 1826238 1826251 1826376 1826381) (-1061 "RSTRCAST.spad" 1825955 1825964 1826228 1826233) (-1060 "RSETGCD.spad" 1822333 1822353 1825945 1825950) (-1059 "RSETCAT.spad" 1812117 1812134 1822301 1822328) (-1058 "RSETCAT.spad" 1801921 1801940 1812107 1812112) (-1057 "RSDCMPK.spad" 1800373 1800393 1801911 1801916) (-1056 "RRCC.spad" 1798757 1798787 1800363 1800368) (-1055 "RRCC.spad" 1797139 1797171 1798747 1798752) (-1054 "RPTAST.spad" 1796841 1796850 1797129 1797134) (-1053 "RPOLCAT.spad" 1776201 1776216 1796709 1796836) (-1052 "RPOLCAT.spad" 1755275 1755292 1775785 1775790) (-1051 "ROUTINE.spad" 1751138 1751147 1753922 1753949) (-1050 "ROMAN.spad" 1750466 1750475 1751004 1751133) (-1049 "ROIRC.spad" 1749546 1749578 1750456 1750461) (-1048 "RNS.spad" 1748449 1748458 1749448 1749541) (-1047 "RNS.spad" 1747438 1747449 1748439 1748444) (-1046 "RNG.spad" 1747173 1747182 1747428 1747433) (-1045 "RMODULE.spad" 1746811 1746822 1747163 1747168) (-1044 "RMCAT2.spad" 1746219 1746276 1746801 1746806) (-1043 "RMATRIX.spad" 1745043 1745062 1745386 1745425) (-1042 "RMATCAT.spad" 1740576 1740607 1744999 1745038) (-1041 "RMATCAT.spad" 1735999 1736032 1740424 1740429) (-1040 "RINTERP.spad" 1735887 1735907 1735989 1735994) (-1039 "RING.spad" 1735357 1735366 1735867 1735882) (-1038 "RING.spad" 1734835 1734846 1735347 1735352) (-1037 "RIDIST.spad" 1734219 1734228 1734825 1734830) (-1036 "RGCHAIN.spad" 1732798 1732814 1733704 1733731) (-1035 "RGBCSPC.spad" 1732579 1732591 1732788 1732793) (-1034 "RGBCMDL.spad" 1732109 1732121 1732569 1732574) (-1033 "RF.spad" 1729723 1729734 1732099 1732104) (-1032 "RFFACTOR.spad" 1729185 1729196 1729713 1729718) (-1031 "RFFACT.spad" 1728920 1728932 1729175 1729180) (-1030 "RFDIST.spad" 1727908 1727917 1728910 1728915) (-1029 "RETSOL.spad" 1727325 1727338 1727898 1727903) (-1028 "RETRACT.spad" 1726753 1726764 1727315 1727320) (-1027 "RETRACT.spad" 1726179 1726192 1726743 1726748) (-1026 "RETAST.spad" 1725991 1726000 1726169 1726174) (-1025 "RESULT.spad" 1724051 1724060 1724638 1724665) (-1024 "RESRING.spad" 1723398 1723445 1723989 1724046) (-1023 "RESLATC.spad" 1722722 1722733 1723388 1723393) (-1022 "REPSQ.spad" 1722451 1722462 1722712 1722717) (-1021 "REP.spad" 1720003 1720012 1722441 1722446) (-1020 "REPDB.spad" 1719708 1719719 1719993 1719998) (-1019 "REP2.spad" 1709280 1709291 1719550 1719555) (-1018 "REP1.spad" 1703270 1703281 1709230 1709235) (-1017 "REGSET.spad" 1701067 1701084 1702916 1702943) (-1016 "REF.spad" 1700396 1700407 1701022 1701027) (-1015 "REDORDER.spad" 1699572 1699589 1700386 1700391) (-1014 "RECLOS.spad" 1698355 1698375 1699059 1699152) (-1013 "REALSOLV.spad" 1697487 1697496 1698345 1698350) (-1012 "REAL.spad" 1697359 1697368 1697477 1697482) (-1011 "REAL0Q.spad" 1694641 1694656 1697349 1697354) (-1010 "REAL0.spad" 1691469 1691484 1694631 1694636) (-1009 "RDUCEAST.spad" 1691190 1691199 1691459 1691464) (-1008 "RDIV.spad" 1690841 1690866 1691180 1691185) (-1007 "RDIST.spad" 1690404 1690415 1690831 1690836) (-1006 "RDETRS.spad" 1689200 1689218 1690394 1690399) (-1005 "RDETR.spad" 1687307 1687325 1689190 1689195) (-1004 "RDEEFS.spad" 1686380 1686397 1687297 1687302) (-1003 "RDEEF.spad" 1685376 1685393 1686370 1686375) (-1002 "RCFIELD.spad" 1682562 1682571 1685278 1685371) (-1001 "RCFIELD.spad" 1679834 1679845 1682552 1682557) (-1000 "RCAGG.spad" 1677746 1677757 1679824 1679829) (-999 "RCAGG.spad" 1675586 1675598 1677665 1677670) (-998 "RATRET.spad" 1674947 1674957 1675576 1675581) (-997 "RATFACT.spad" 1674640 1674651 1674937 1674942) (-996 "RANDSRC.spad" 1673960 1673968 1674630 1674635) (-995 "RADUTIL.spad" 1673715 1673723 1673950 1673955) (-994 "RADIX.spad" 1670617 1670630 1672182 1672275) (-993 "RADFF.spad" 1669031 1669067 1669149 1669305) (-992 "RADCAT.spad" 1668625 1668633 1669021 1669026) (-991 "RADCAT.spad" 1668217 1668227 1668615 1668620) (-990 "QUEUE.spad" 1667560 1667570 1667824 1667851) (-989 "QUAT.spad" 1666142 1666152 1666484 1666549) (-988 "QUATCT2.spad" 1665761 1665779 1666132 1666137) (-987 "QUATCAT.spad" 1663926 1663936 1665691 1665756) (-986 "QUATCAT.spad" 1661842 1661854 1663609 1663614) (-985 "QUAGG.spad" 1660668 1660678 1661810 1661837) (-984 "QQUTAST.spad" 1660437 1660445 1660658 1660663) (-983 "QFORM.spad" 1659900 1659914 1660427 1660432) (-982 "QFCAT.spad" 1658603 1658613 1659802 1659895) (-981 "QFCAT.spad" 1656897 1656909 1658098 1658103) (-980 "QFCAT2.spad" 1656588 1656604 1656887 1656892) (-979 "QEQUAT.spad" 1656145 1656153 1656578 1656583) (-978 "QCMPACK.spad" 1650892 1650911 1656135 1656140) (-977 "QALGSET.spad" 1646967 1646999 1650806 1650811) (-976 "QALGSET2.spad" 1644963 1644981 1646957 1646962) (-975 "PWFFINTB.spad" 1642273 1642294 1644953 1644958) (-974 "PUSHVAR.spad" 1641602 1641621 1642263 1642268) (-973 "PTRANFN.spad" 1637728 1637738 1641592 1641597) (-972 "PTPACK.spad" 1634816 1634826 1637718 1637723) (-971 "PTFUNC2.spad" 1634637 1634651 1634806 1634811) (-970 "PTCAT.spad" 1633886 1633896 1634605 1634632) (-969 "PSQFR.spad" 1633193 1633217 1633876 1633881) (-968 "PSEUDLIN.spad" 1632051 1632061 1633183 1633188) (-967 "PSETPK.spad" 1617484 1617500 1631929 1631934) (-966 "PSETCAT.spad" 1611404 1611427 1617464 1617479) (-965 "PSETCAT.spad" 1605298 1605323 1611360 1611365) (-964 "PSCURVE.spad" 1604281 1604289 1605288 1605293) (-963 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630631 630658) (-379 "FLOATRP.spad" 627775 627789 630044 630049) (-378 "FLOAT.spad" 621063 621071 627641 627770) (-377 "FLOATCP.spad" 618480 618494 621053 621058) (-376 "FLINEXP.spad" 618192 618202 618460 618475) (-375 "FLINEXP.spad" 617858 617870 618128 618133) (-374 "FLASORT.spad" 617178 617190 617848 617853) (-373 "FLALG.spad" 614824 614843 617104 617173) (-372 "FLAGG.spad" 611842 611852 614804 614819) (-371 "FLAGG.spad" 608761 608773 611725 611730) (-370 "FLAGG2.spad" 607442 607458 608751 608756) (-369 "FINRALG.spad" 605471 605484 607398 607437) (-368 "FINRALG.spad" 603426 603441 605355 605360) (-367 "FINITE.spad" 602578 602586 603416 603421) (-366 "FINAALG.spad" 591559 591569 602520 602573) (-365 "FINAALG.spad" 580552 580564 591515 591520) (-364 "FILE.spad" 580135 580145 580542 580547) (-363 "FILECAT.spad" 578653 578670 580125 580130) (-362 "FIELD.spad" 578059 578067 578555 578648) (-361 "FIELD.spad" 577551 577561 578049 578054) (-360 "FGROUP.spad" 576160 576170 577531 577546) (-359 "FGLMICPK.spad" 574947 574962 576150 576155) (-358 "FFX.spad" 574322 574337 574663 574756) (-357 "FFSLPE.spad" 573811 573832 574312 574317) (-356 "FFPOLY.spad" 565063 565074 573801 573806) (-355 "FFPOLY2.spad" 564123 564140 565053 565058) (-354 "FFP.spad" 563520 563540 563839 563932) (-353 "FF.spad" 562968 562984 563201 563294) (-352 "FFNBX.spad" 561480 561500 562684 562777) (-351 "FFNBP.spad" 559993 560010 561196 561289) (-350 "FFNB.spad" 558458 558479 559674 559767) (-349 "FFINTBAS.spad" 555872 555891 558448 558453) (-348 "FFIELDC.spad" 553447 553455 555774 555867) (-347 "FFIELDC.spad" 551108 551118 553437 553442) (-346 "FFHOM.spad" 549856 549873 551098 551103) (-345 "FFF.spad" 547291 547302 549846 549851) (-344 "FFCGX.spad" 546138 546158 547007 547100) (-343 "FFCGP.spad" 545027 545047 545854 545947) (-342 "FFCG.spad" 543819 543840 544708 544801) (-341 "FFCAT.spad" 536846 536868 543658 543814) (-340 "FFCAT.spad" 529952 529976 536766 536771) (-339 "FFCAT2.spad" 529697 529737 529942 529947) (-338 "FEXPR.spad" 521406 521452 529453 529492) (-337 "FEVALAB.spad" 521112 521122 521396 521401) (-336 "FEVALAB.spad" 520603 520615 520889 520894) (-335 "FDIV.spad" 520045 520069 520593 520598) (-334 "FDIVCAT.spad" 518087 518111 520035 520040) (-333 "FDIVCAT.spad" 516127 516153 518077 518082) (-332 "FDIV2.spad" 515781 515821 516117 516122) (-331 "FCPAK1.spad" 514334 514342 515771 515776) (-330 "FCOMP.spad" 513713 513723 514324 514329) (-329 "FC.spad" 503628 503636 513703 513708) (-328 "FAXF.spad" 496563 496577 503530 503623) (-327 "FAXF.spad" 489550 489566 496519 496524) (-326 "FARRAY.spad" 487696 487706 488733 488760) (-325 "FAMR.spad" 485816 485828 487594 487691) (-324 "FAMR.spad" 483920 483934 485700 485705) (-323 "FAMONOID.spad" 483570 483580 483874 483879) (-322 "FAMONC.spad" 481792 481804 483560 483565) (-321 "FAGROUP.spad" 481398 481408 481688 481715) (-320 "FACUTIL.spad" 479594 479611 481388 481393) (-319 "FACTFUNC.spad" 478770 478780 479584 479589) (-318 "EXPUPXS.spad" 475603 475626 476902 477051) (-317 "EXPRTUBE.spad" 472831 472839 475593 475598) (-316 "EXPRODE.spad" 469703 469719 472821 472826) (-315 "EXPR.spad" 464978 464988 465692 466099) (-314 "EXPR2UPS.spad" 461070 461083 464968 464973) (-313 "EXPR2.spad" 460773 460785 461060 461065) (-312 "EXPEXPAN.spad" 457711 457736 458345 458438) (-311 "EXIT.spad" 457382 457390 457701 457706) (-310 "EXITAST.spad" 457118 457126 457372 457377) (-309 "EVALCYC.spad" 456576 456590 457108 457113) (-308 "EVALAB.spad" 456140 456150 456566 456571) (-307 "EVALAB.spad" 455702 455714 456130 456135) (-306 "EUCDOM.spad" 453244 453252 455628 455697) (-305 "EUCDOM.spad" 450848 450858 453234 453239) (-304 "ESTOOLS.spad" 442688 442696 450838 450843) (-303 "ESTOOLS2.spad" 442289 442303 442678 442683) (-302 "ESTOOLS1.spad" 441974 441985 442279 442284) (-301 "ES.spad" 434521 434529 441964 441969) (-300 "ES.spad" 426974 426984 434419 434424) (-299 "ESCONT.spad" 423747 423755 426964 426969) (-298 "ESCONT1.spad" 423496 423508 423737 423742) (-297 "ES2.spad" 422991 423007 423486 423491) (-296 "ES1.spad" 422557 422573 422981 422986) (-295 "ERROR.spad" 419878 419886 422547 422552) (-294 "EQTBL.spad" 418350 418372 418559 418586) (-293 "EQ.spad" 413224 413234 416023 416135) (-292 "EQ2.spad" 412940 412952 413214 413219) (-291 "EP.spad" 409254 409264 412930 412935) (-290 "ENV.spad" 407956 407964 409244 409249) (-289 "ENTIRER.spad" 407624 407632 407900 407951) (-288 "EMR.spad" 406825 406866 407550 407619) (-287 "ELTAGG.spad" 405065 405084 406815 406820) (-286 "ELTAGG.spad" 403269 403290 405021 405026) (-285 "ELTAB.spad" 402716 402734 403259 403264) (-284 "ELFUTS.spad" 402095 402114 402706 402711) (-283 "ELEMFUN.spad" 401784 401792 402085 402090) (-282 "ELEMFUN.spad" 401471 401481 401774 401779) (-281 "ELAGG.spad" 399414 399424 401451 401466) (-280 "ELAGG.spad" 397294 397306 399333 399338) (-279 "ELABEXPR.spad" 396225 396233 397284 397289) (-278 "EFUPXS.spad" 393001 393031 396181 396186) (-277 "EFULS.spad" 389837 389860 392957 392962) (-276 "EFSTRUC.spad" 387792 387808 389827 389832) (-275 "EF.spad" 382558 382574 387782 387787) (-274 "EAB.spad" 380834 380842 382548 382553) (-273 "E04UCFA.spad" 380370 380378 380824 380829) (-272 "E04NAFA.spad" 379947 379955 380360 380365) (-271 "E04MBFA.spad" 379527 379535 379937 379942) (-270 "E04JAFA.spad" 379063 379071 379517 379522) (-269 "E04GCFA.spad" 378599 378607 379053 379058) (-268 "E04FDFA.spad" 378135 378143 378589 378594) (-267 "E04DGFA.spad" 377671 377679 378125 378130) (-266 "E04AGNT.spad" 373513 373521 377661 377666) (-265 "DVARCAT.spad" 370198 370208 373503 373508) (-264 "DVARCAT.spad" 366881 366893 370188 370193) (-263 "DSMP.spad" 364312 364326 364617 364744) (-262 "DROPT.spad" 358257 358265 364302 364307) (-261 "DROPT1.spad" 357920 357930 358247 358252) (-260 "DROPT0.spad" 352747 352755 357910 357915) (-259 "DRAWPT.spad" 350902 350910 352737 352742) (-258 "DRAW.spad" 343502 343515 350892 350897) (-257 "DRAWHACK.spad" 342810 342820 343492 343497) (-256 "DRAWCX.spad" 340252 340260 342800 342805) (-255 "DRAWCURV.spad" 339789 339804 340242 340247) (-254 "DRAWCFUN.spad" 328961 328969 339779 339784) (-253 "DQAGG.spad" 327129 327139 328929 328956) (-252 "DPOLCAT.spad" 322470 322486 326997 327124) (-251 "DPOLCAT.spad" 317897 317915 322426 322431) (-250 "DPMO.spad" 310123 310139 310261 310562) (-249 "DPMM.spad" 302362 302380 302487 302788) (-248 "DOMCTOR.spad" 302254 302262 302352 302357) (-247 "DOMAIN.spad" 301385 301393 302244 302249) (-246 "DMP.spad" 298607 298622 299179 299306) (-245 "DLP.spad" 297955 297965 298597 298602) (-244 "DLIST.spad" 296534 296544 297138 297165) (-243 "DLAGG.spad" 294945 294955 296524 296529) (-242 "DIVRING.spad" 294487 294495 294889 294940) (-241 "DIVRING.spad" 294073 294083 294477 294482) (-240 "DISPLAY.spad" 292253 292261 294063 294068) (-239 "DIRPROD.spad" 281833 281849 282473 282604) (-238 "DIRPROD2.spad" 280641 280659 281823 281828) (-237 "DIRPCAT.spad" 279583 279599 280505 280636) (-236 "DIRPCAT.spad" 278254 278272 279178 279183) (-235 "DIOSP.spad" 277079 277087 278244 278249) (-234 "DIOPS.spad" 276063 276073 277059 277074) (-233 "DIOPS.spad" 275021 275033 276019 276024) (-232 "DIFRING.spad" 274313 274321 275001 275016) (-231 "DIFRING.spad" 273613 273623 274303 274308) (-230 "DIFEXT.spad" 272772 272782 273593 273608) (-229 "DIFEXT.spad" 271848 271860 272671 272676) (-228 "DIAGG.spad" 271478 271488 271828 271843) (-227 "DIAGG.spad" 271116 271128 271468 271473) (-226 "DHMATRIX.spad" 269420 269430 270573 270600) (-225 "DFSFUN.spad" 262828 262836 269410 269415) (-224 "DFLOAT.spad" 259549 259557 262718 262823) (-223 "DFINTTLS.spad" 257758 257774 259539 259544) (-222 "DERHAM.spad" 255668 255700 257738 257753) (-221 "DEQUEUE.spad" 254986 254996 255275 255302) (-220 "DEGRED.spad" 254601 254615 254976 254981) (-219 "DEFINTRF.spad" 252126 252136 254591 254596) (-218 "DEFINTEF.spad" 250622 250638 252116 252121) (-217 "DEFAST.spad" 249990 249998 250612 250617) (-216 "DECIMAL.spad" 248096 248104 248457 248550) (-215 "DDFACT.spad" 245895 245912 248086 248091) (-214 "DBLRESP.spad" 245493 245517 245885 245890) (-213 "DBASE.spad" 244147 244157 245483 245488) (-212 "DATAARY.spad" 243609 243622 244137 244142) (-211 "D03FAFA.spad" 243437 243445 243599 243604) (-210 "D03EEFA.spad" 243257 243265 243427 243432) (-209 "D03AGNT.spad" 242337 242345 243247 243252) (-208 "D02EJFA.spad" 241799 241807 242327 242332) (-207 "D02CJFA.spad" 241277 241285 241789 241794) (-206 "D02BHFA.spad" 240767 240775 241267 241272) (-205 "D02BBFA.spad" 240257 240265 240757 240762) (-204 "D02AGNT.spad" 235061 235069 240247 240252) (-203 "D01WGTS.spad" 233380 233388 235051 235056) (-202 "D01TRNS.spad" 233357 233365 233370 233375) (-201 "D01GBFA.spad" 232879 232887 233347 233352) (-200 "D01FCFA.spad" 232401 232409 232869 232874) (-199 "D01ASFA.spad" 231869 231877 232391 232396) (-198 "D01AQFA.spad" 231315 231323 231859 231864) (-197 "D01APFA.spad" 230739 230747 231305 231310) (-196 "D01ANFA.spad" 230233 230241 230729 230734) (-195 "D01AMFA.spad" 229743 229751 230223 230228) (-194 "D01ALFA.spad" 229283 229291 229733 229738) (-193 "D01AKFA.spad" 228809 228817 229273 229278) (-192 "D01AJFA.spad" 228332 228340 228799 228804) (-191 "D01AGNT.spad" 224391 224399 228322 228327) (-190 "CYCLOTOM.spad" 223897 223905 224381 224386) (-189 "CYCLES.spad" 220729 220737 223887 223892) (-188 "CVMP.spad" 220146 220156 220719 220724) (-187 "CTRIGMNP.spad" 218636 218652 220136 220141) (-186 "CTOR.spad" 218536 218544 218626 218631) (-185 "CTORKIND.spad" 218139 218147 218526 218531) (-184 "CTORCAT.spad" 217594 217602 218129 218134) (-183 "CTORCAT.spad" 217047 217057 217584 217589) (-182 "CTORCALL.spad" 216627 216635 217037 217042) (-181 "CSTTOOLS.spad" 215870 215883 216617 216622) (-180 "CRFP.spad" 209574 209587 215860 215865) (-179 "CRCEAST.spad" 209294 209302 209564 209569) (-178 "CRAPACK.spad" 208337 208347 209284 209289) (-177 "CPMATCH.spad" 207837 207852 208262 208267) (-176 "CPIMA.spad" 207542 207561 207827 207832) (-175 "COORDSYS.spad" 202435 202445 207532 207537) (-174 "CONTOUR.spad" 201837 201845 202425 202430) (-173 "CONTFRAC.spad" 197449 197459 201739 201832) (-172 "CONDUIT.spad" 197207 197215 197439 197444) (-171 "COMRING.spad" 196881 196889 197145 197202) (-170 "COMPPROP.spad" 196395 196403 196871 196876) (-169 "COMPLPAT.spad" 196162 196177 196385 196390) (-168 "COMPLEX.spad" 190198 190208 190442 190691) (-167 "COMPLEX2.spad" 189911 189923 190188 190193) (-166 "COMPFACT.spad" 189513 189527 189901 189906) (-165 "COMPCAT.spad" 187651 187661 189259 189508) (-164 "COMPCAT.spad" 185470 185482 187080 187085) (-163 "COMMUPC.spad" 185216 185234 185460 185465) (-162 "COMMONOP.spad" 184749 184757 185206 185211) (-161 "COMM.spad" 184558 184566 184739 184744) (-160 "COMMAAST.spad" 184321 184329 184548 184553) (-159 "COMBOPC.spad" 183226 183234 184311 184316) (-158 "COMBINAT.spad" 181971 181981 183216 183221) (-157 "COMBF.spad" 179339 179355 181961 181966) (-156 "COLOR.spad" 178176 178184 179329 179334) (-155 "COLONAST.spad" 177842 177850 178166 178171) (-154 "CMPLXRT.spad" 177551 177568 177832 177837) (-153 "CLLCTAST.spad" 177213 177221 177541 177546) (-152 "CLIP.spad" 173305 173313 177203 177208) (-151 "CLIF.spad" 171944 171960 173261 173300) (-150 "CLAGG.spad" 168429 168439 171934 171939) (-149 "CLAGG.spad" 164785 164797 168292 168297) (-148 "CINTSLPE.spad" 164110 164123 164775 164780) (-147 "CHVAR.spad" 162188 162210 164100 164105) (-146 "CHARZ.spad" 162103 162111 162168 162183) (-145 "CHARPOL.spad" 161611 161621 162093 162098) (-144 "CHARNZ.spad" 161364 161372 161591 161606) (-143 "CHAR.spad" 159232 159240 161354 161359) (-142 "CFCAT.spad" 158548 158556 159222 159227) (-141 "CDEN.spad" 157706 157720 158538 158543) (-140 "CCLASS.spad" 155855 155863 157117 157156) (-139 "CATEGORY.spad" 154945 154953 155845 155850) (-138 "CATCTOR.spad" 154836 154844 154935 154940) (-137 "CATAST.spad" 154463 154471 154826 154831) (-136 "CASEAST.spad" 154177 154185 154453 154458) (-135 "CARTEN.spad" 149280 149304 154167 154172) (-134 "CARTEN2.spad" 148666 148693 149270 149275) (-133 "CARD.spad" 145955 145963 148640 148661) (-132 "CAPSLAST.spad" 145729 145737 145945 145950) (-131 "CACHSET.spad" 145351 145359 145719 145724) (-130 "CABMON.spad" 144904 144912 145341 145346) (-129 "BYTE.spad" 144325 144333 144894 144899) (-128 "BYTEBUF.spad" 142157 142165 143494 143521) (-127 "BTREE.spad" 141226 141236 141764 141791) (-126 "BTOURN.spad" 140229 140239 140833 140860) (-125 "BTCAT.spad" 139617 139627 140197 140224) (-124 "BTCAT.spad" 139025 139037 139607 139612) (-123 "BTAGG.spad" 138147 138155 138993 139020) (-122 "BTAGG.spad" 137289 137299 138137 138142) (-121 "BSTREE.spad" 136024 136034 136896 136923) (-120 "BRILL.spad" 134219 134230 136014 136019) (-119 "BRAGG.spad" 133143 133153 134209 134214) (-118 "BRAGG.spad" 132031 132043 133099 133104) (-117 "BPADICRT.spad" 130012 130024 130267 130360) (-116 "BPADIC.spad" 129676 129688 129938 130007) (-115 "BOUNDZRO.spad" 129332 129349 129666 129671) (-114 "BOP.spad" 124796 124804 129322 129327) (-113 "BOP1.spad" 122182 122192 124752 124757) (-112 "BOOLEAN.spad" 121506 121514 122172 122177) (-111 "BMODULE.spad" 121218 121230 121474 121501) (-110 "BITS.spad" 120637 120645 120854 120881) (-109 "BINDING.spad" 120056 120064 120627 120632) (-108 "BINARY.spad" 118167 118175 118523 118616) (-107 "BGAGG.spad" 117364 117374 118147 118162) (-106 "BGAGG.spad" 116569 116581 117354 117359) (-105 "BFUNCT.spad" 116133 116141 116549 116564) (-104 "BEZOUT.spad" 115267 115294 116083 116088) (-103 "BBTREE.spad" 112086 112096 114874 114901) (-102 "BASTYPE.spad" 111758 111766 112076 112081) (-101 "BASTYPE.spad" 111428 111438 111748 111753) (-100 "BALFACT.spad" 110867 110880 111418 111423) (-99 "AUTOMOR.spad" 110314 110323 110847 110862) (-98 "ATTREG.spad" 107033 107040 110066 110309) (-97 "ATTRBUT.spad" 103056 103063 107013 107028) (-96 "ATTRAST.spad" 102773 102780 103046 103051) (-95 "ATRIG.spad" 102243 102250 102763 102768) (-94 "ATRIG.spad" 101711 101720 102233 102238) (-93 "ASTCAT.spad" 101615 101622 101701 101706) (-92 "ASTCAT.spad" 101517 101526 101605 101610) (-91 "ASTACK.spad" 100850 100859 101124 101151) (-90 "ASSOCEQ.spad" 99650 99661 100806 100811) (-89 "ASP9.spad" 98731 98744 99640 99645) (-88 "ASP8.spad" 97774 97787 98721 98726) (-87 "ASP80.spad" 97096 97109 97764 97769) (-86 "ASP7.spad" 96256 96269 97086 97091) (-85 "ASP78.spad" 95707 95720 96246 96251) (-84 "ASP77.spad" 95076 95089 95697 95702) (-83 "ASP74.spad" 94168 94181 95066 95071) (-82 "ASP73.spad" 93439 93452 94158 94163) (-81 "ASP6.spad" 92306 92319 93429 93434) (-80 "ASP55.spad" 90815 90828 92296 92301) (-79 "ASP50.spad" 88632 88645 90805 90810) (-78 "ASP4.spad" 87927 87940 88622 88627) (-77 "ASP49.spad" 86926 86939 87917 87922) (-76 "ASP42.spad" 85333 85372 86916 86921) (-75 "ASP41.spad" 83912 83951 85323 85328) (-74 "ASP35.spad" 82900 82913 83902 83907) (-73 "ASP34.spad" 82201 82214 82890 82895) (-72 "ASP33.spad" 81761 81774 82191 82196) (-71 "ASP31.spad" 80901 80914 81751 81756) (-70 "ASP30.spad" 79793 79806 80891 80896) (-69 "ASP29.spad" 79259 79272 79783 79788) (-68 "ASP28.spad" 70532 70545 79249 79254) (-67 "ASP27.spad" 69429 69442 70522 70527) (-66 "ASP24.spad" 68516 68529 69419 69424) (-65 "ASP20.spad" 67980 67993 68506 68511) (-64 "ASP1.spad" 67361 67374 67970 67975) (-63 "ASP19.spad" 62047 62060 67351 67356) (-62 "ASP12.spad" 61461 61474 62037 62042) (-61 "ASP10.spad" 60732 60745 61451 61456) (-60 "ARRAY2.spad" 60092 60101 60339 60366) (-59 "ARRAY1.spad" 58927 58936 59275 59302) (-58 "ARRAY12.spad" 57596 57607 58917 58922) (-57 "ARR2CAT.spad" 53258 53279 57564 57591) (-56 "ARR2CAT.spad" 48940 48963 53248 53253) (-55 "ARITY.spad" 48508 48515 48930 48935) (-54 "APPRULE.spad" 47752 47774 48498 48503) (-53 "APPLYORE.spad" 47367 47380 47742 47747) (-52 "ANY.spad" 45709 45716 47357 47362) (-51 "ANY1.spad" 44780 44789 45699 45704) (-50 "ANTISYM.spad" 43219 43235 44760 44775) (-49 "ANON.spad" 42916 42923 43209 43214) (-48 "AN.spad" 41217 41224 42732 42825) (-47 "AMR.spad" 39396 39407 41115 41212) (-46 "AMR.spad" 37412 37425 39133 39138) (-45 "ALIST.spad" 34824 34845 35174 35201) (-44 "ALGSC.spad" 33947 33973 34696 34749) (-43 "ALGPKG.spad" 29656 29667 33903 33908) (-42 "ALGMFACT.spad" 28845 28859 29646 29651) (-41 "ALGMANIP.spad" 26265 26280 28642 28647) (-40 "ALGFF.spad" 24580 24607 24797 24953) (-39 "ALGFACT.spad" 23701 23711 24570 24575) (-38 "ALGEBRA.spad" 23534 23543 23657 23696) (-37 "ALGEBRA.spad" 23399 23410 23524 23529) (-36 "ALAGG.spad" 22909 22930 23367 23394) (-35 "AHYP.spad" 22290 22297 22899 22904) (-34 "AGG.spad" 20599 20606 22280 22285) (-33 "AGG.spad" 18872 18881 20555 20560) (-32 "AF.spad" 17297 17312 18807 18812) (-31 "ADDAST.spad" 16975 16982 17287 17292) (-30 "ACPLOT.spad" 15546 15553 16965 16970) (-29 "ACFS.spad" 13297 13306 15448 15541) (-28 "ACFS.spad" 11134 11145 13287 13292) (-27 "ACF.spad" 7736 7743 11036 11129) (-26 "ACF.spad" 4424 4433 7726 7731) (-25 "ABELSG.spad" 3965 3972 4414 4419) (-24 "ABELSG.spad" 3504 3513 3955 3960) (-23 "ABELMON.spad" 3047 3054 3494 3499) (-22 "ABELMON.spad" 2588 2597 3037 3042) (-21 "ABELGRP.spad" 2160 2167 2578 2583) (-20 "ABELGRP.spad" 1730 1739 2150 2155) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865))
\ No newline at end of file +((-3 NIL 2276360 2276365 2276370 2276375) (-2 NIL 2276340 2276345 2276350 2276355) (-1 NIL 2276320 2276325 2276330 2276335) (0 NIL 2276300 2276305 2276310 2276315) (-1274 "ZMOD.spad" 2276109 2276122 2276238 2276295) (-1273 "ZLINDEP.spad" 2275153 2275164 2276099 2276104) (-1272 "ZDSOLVE.spad" 2265002 2265024 2275143 2275148) (-1271 "YSTREAM.spad" 2264495 2264506 2264992 2264997) (-1270 "XRPOLY.spad" 2263715 2263735 2264351 2264420) (-1269 "XPR.spad" 2261506 2261519 2263433 2263532) (-1268 "XPOLY.spad" 2261061 2261072 2261362 2261431) (-1267 "XPOLYC.spad" 2260378 2260394 2260987 2261056) (-1266 "XPBWPOLY.spad" 2258815 2258835 2260158 2260227) (-1265 "XF.spad" 2257276 2257291 2258717 2258810) (-1264 "XF.spad" 2255717 2255734 2257160 2257165) (-1263 "XFALG.spad" 2252741 2252757 2255643 2255712) (-1262 "XEXPPKG.spad" 2251992 2252018 2252731 2252736) (-1261 "XDPOLY.spad" 2251606 2251622 2251848 2251917) (-1260 "XALG.spad" 2251266 2251277 2251562 2251601) (-1259 "WUTSET.spad" 2247105 2247122 2250912 2250939) (-1258 "WP.spad" 2246304 2246348 2246963 2247030) (-1257 "WHILEAST.spad" 2246102 2246111 2246294 2246299) (-1256 "WHEREAST.spad" 2245773 2245782 2246092 2246097) (-1255 "WFFINTBS.spad" 2243336 2243358 2245763 2245768) (-1254 "WEIER.spad" 2241550 2241561 2243326 2243331) (-1253 "VSPACE.spad" 2241223 2241234 2241518 2241545) (-1252 "VSPACE.spad" 2240916 2240929 2241213 2241218) (-1251 "VOID.spad" 2240593 2240602 2240906 2240911) (-1250 "VIEW.spad" 2238215 2238224 2240583 2240588) (-1249 "VIEWDEF.spad" 2233412 2233421 2238205 2238210) (-1248 "VIEW3D.spad" 2217247 2217256 2233402 2233407) (-1247 "VIEW2D.spad" 2204984 2204993 2217237 2217242) (-1246 "VECTOR.spad" 2203659 2203670 2203910 2203937) (-1245 "VECTOR2.spad" 2202286 2202299 2203649 2203654) (-1244 "VECTCAT.spad" 2200186 2200197 2202254 2202281) (-1243 "VECTCAT.spad" 2197894 2197907 2199964 2199969) (-1242 "VARIABLE.spad" 2197674 2197689 2197884 2197889) (-1241 "UTYPE.spad" 2197318 2197327 2197664 2197669) (-1240 "UTSODETL.spad" 2196611 2196635 2197274 2197279) (-1239 "UTSODE.spad" 2194799 2194819 2196601 2196606) (-1238 "UTS.spad" 2189588 2189616 2193266 2193363) (-1237 "UTSCAT.spad" 2187039 2187055 2189486 2189583) (-1236 "UTSCAT.spad" 2184134 2184152 2186583 2186588) (-1235 "UTS2.spad" 2183727 2183762 2184124 2184129) (-1234 "URAGG.spad" 2178359 2178370 2183717 2183722) (-1233 "URAGG.spad" 2172955 2172968 2178315 2178320) (-1232 "UPXSSING.spad" 2170598 2170624 2172036 2172169) (-1231 "UPXS.spad" 2167746 2167774 2168730 2168879) (-1230 "UPXSCONS.spad" 2165503 2165523 2165878 2166027) (-1229 "UPXSCCA.spad" 2164068 2164088 2165349 2165498) (-1228 "UPXSCCA.spad" 2162775 2162797 2164058 2164063) (-1227 "UPXSCAT.spad" 2161356 2161372 2162621 2162770) (-1226 "UPXS2.spad" 2160897 2160950 2161346 2161351) (-1225 "UPSQFREE.spad" 2159309 2159323 2160887 2160892) (-1224 "UPSCAT.spad" 2156902 2156926 2159207 2159304) (-1223 "UPSCAT.spad" 2154201 2154227 2156508 2156513) (-1222 "UPOLYC.spad" 2149179 2149190 2154043 2154196) (-1221 "UPOLYC.spad" 2144049 2144062 2148915 2148920) (-1220 "UPOLYC2.spad" 2143518 2143537 2144039 2144044) (-1219 "UP.spad" 2140675 2140690 2141068 2141221) (-1218 "UPMP.spad" 2139565 2139578 2140665 2140670) (-1217 "UPDIVP.spad" 2139128 2139142 2139555 2139560) (-1216 "UPDECOMP.spad" 2137365 2137379 2139118 2139123) (-1215 "UPCDEN.spad" 2136572 2136588 2137355 2137360) (-1214 "UP2.spad" 2135934 2135955 2136562 2136567) (-1213 "UNISEG.spad" 2135287 2135298 2135853 2135858) (-1212 "UNISEG2.spad" 2134780 2134793 2135243 2135248) (-1211 "UNIFACT.spad" 2133881 2133893 2134770 2134775) (-1210 "ULS.spad" 2124433 2124461 2125526 2125955) (-1209 "ULSCONS.spad" 2116827 2116847 2117199 2117348) (-1208 "ULSCCAT.spad" 2114556 2114576 2116673 2116822) (-1207 "ULSCCAT.spad" 2112393 2112415 2114512 2114517) (-1206 "ULSCAT.spad" 2110609 2110625 2112239 2112388) (-1205 "ULS2.spad" 2110121 2110174 2110599 2110604) (-1204 "UFD.spad" 2109186 2109195 2110047 2110116) (-1203 "UFD.spad" 2108313 2108324 2109176 2109181) (-1202 "UDVO.spad" 2107160 2107169 2108303 2108308) (-1201 "UDPO.spad" 2104587 2104598 2107116 2107121) (-1200 "TYPE.spad" 2104519 2104528 2104577 2104582) (-1199 "TYPEAST.spad" 2104438 2104447 2104509 2104514) (-1198 "TWOFACT.spad" 2103088 2103103 2104428 2104433) (-1197 "TUPLE.spad" 2102572 2102583 2102987 2102992) (-1196 "TUBETOOL.spad" 2099409 2099418 2102562 2102567) (-1195 "TUBE.spad" 2098050 2098067 2099399 2099404) (-1194 "TS.spad" 2096639 2096655 2097615 2097712) (-1193 "TSETCAT.spad" 2083766 2083783 2096607 2096634) (-1192 "TSETCAT.spad" 2070879 2070898 2083722 2083727) (-1191 "TRMANIP.spad" 2065245 2065262 2070585 2070590) (-1190 "TRIMAT.spad" 2064204 2064229 2065235 2065240) (-1189 "TRIGMNIP.spad" 2062721 2062738 2064194 2064199) (-1188 "TRIGCAT.spad" 2062233 2062242 2062711 2062716) (-1187 "TRIGCAT.spad" 2061743 2061754 2062223 2062228) (-1186 "TREE.spad" 2060314 2060325 2061350 2061377) (-1185 "TRANFUN.spad" 2060145 2060154 2060304 2060309) (-1184 "TRANFUN.spad" 2059974 2059985 2060135 2060140) (-1183 "TOPSP.spad" 2059648 2059657 2059964 2059969) (-1182 "TOOLSIGN.spad" 2059311 2059322 2059638 2059643) (-1181 "TEXTFILE.spad" 2057868 2057877 2059301 2059306) (-1180 "TEX.spad" 2055000 2055009 2057858 2057863) (-1179 "TEX1.spad" 2054556 2054567 2054990 2054995) (-1178 "TEMUTL.spad" 2054111 2054120 2054546 2054551) (-1177 "TBCMPPK.spad" 2052204 2052227 2054101 2054106) (-1176 "TBAGG.spad" 2051240 2051263 2052184 2052199) (-1175 "TBAGG.spad" 2050284 2050309 2051230 2051235) (-1174 "TANEXP.spad" 2049660 2049671 2050274 2050279) (-1173 "TABLE.spad" 2048071 2048094 2048341 2048368) (-1172 "TABLEAU.spad" 2047552 2047563 2048061 2048066) (-1171 "TABLBUMP.spad" 2044335 2044346 2047542 2047547) (-1170 "SYSTEM.spad" 2043609 2043618 2044325 2044330) (-1169 "SYSSOLP.spad" 2041082 2041093 2043599 2043604) (-1168 "SYNTAX.spad" 2037352 2037361 2041072 2041077) (-1167 "SYMTAB.spad" 2035408 2035417 2037342 2037347) (-1166 "SYMS.spad" 2031393 2031402 2035398 2035403) (-1165 "SYMPOLY.spad" 2030400 2030411 2030482 2030609) (-1164 "SYMFUNC.spad" 2029875 2029886 2030390 2030395) (-1163 "SYMBOL.spad" 2027302 2027311 2029865 2029870) (-1162 "SWITCH.spad" 2024059 2024068 2027292 2027297) (-1161 "SUTS.spad" 2020958 2020986 2022526 2022623) (-1160 "SUPXS.spad" 2018093 2018121 2019090 2019239) (-1159 "SUP.spad" 2014862 2014873 2015643 2015796) (-1158 "SUPFRACF.spad" 2013967 2013985 2014852 2014857) (-1157 "SUP2.spad" 2013357 2013370 2013957 2013962) (-1156 "SUMRF.spad" 2012323 2012334 2013347 2013352) (-1155 "SUMFS.spad" 2011956 2011973 2012313 2012318) (-1154 "SULS.spad" 2002495 2002523 2003601 2004030) (-1153 "SUCHTAST.spad" 2002264 2002273 2002485 2002490) (-1152 "SUCH.spad" 2001944 2001959 2002254 2002259) (-1151 "SUBSPACE.spad" 1993951 1993966 2001934 2001939) (-1150 "SUBRESP.spad" 1993111 1993125 1993907 1993912) (-1149 "STTF.spad" 1989210 1989226 1993101 1993106) (-1148 "STTFNC.spad" 1985678 1985694 1989200 1989205) (-1147 "STTAYLOR.spad" 1978076 1978087 1985559 1985564) (-1146 "STRTBL.spad" 1976581 1976598 1976730 1976757) (-1145 "STRING.spad" 1975990 1975999 1976004 1976031) (-1144 "STRICAT.spad" 1975778 1975787 1975958 1975985) (-1143 "STREAM.spad" 1972636 1972647 1975303 1975318) (-1142 "STREAM3.spad" 1972181 1972196 1972626 1972631) (-1141 "STREAM2.spad" 1971249 1971262 1972171 1972176) (-1140 "STREAM1.spad" 1970953 1970964 1971239 1971244) (-1139 "STINPROD.spad" 1969859 1969875 1970943 1970948) (-1138 "STEP.spad" 1969060 1969069 1969849 1969854) (-1137 "STBL.spad" 1967586 1967614 1967753 1967768) (-1136 "STAGG.spad" 1966661 1966672 1967576 1967581) (-1135 "STAGG.spad" 1965734 1965747 1966651 1966656) (-1134 "STACK.spad" 1965085 1965096 1965341 1965368) (-1133 "SREGSET.spad" 1962789 1962806 1964731 1964758) (-1132 "SRDCMPK.spad" 1961334 1961354 1962779 1962784) (-1131 "SRAGG.spad" 1956431 1956440 1961302 1961329) (-1130 "SRAGG.spad" 1951548 1951559 1956421 1956426) (-1129 "SQMATRIX.spad" 1949164 1949182 1950080 1950167) (-1128 "SPLTREE.spad" 1943716 1943729 1948600 1948627) (-1127 "SPLNODE.spad" 1940304 1940317 1943706 1943711) (-1126 "SPFCAT.spad" 1939081 1939090 1940294 1940299) (-1125 "SPECOUT.spad" 1937631 1937640 1939071 1939076) (-1124 "SPADXPT.spad" 1929770 1929779 1937621 1937626) (-1123 "spad-parser.spad" 1929235 1929244 1929760 1929765) (-1122 "SPADAST.spad" 1928936 1928945 1929225 1929230) (-1121 "SPACEC.spad" 1912949 1912960 1928926 1928931) (-1120 "SPACE3.spad" 1912725 1912736 1912939 1912944) (-1119 "SORTPAK.spad" 1912270 1912283 1912681 1912686) (-1118 "SOLVETRA.spad" 1910027 1910038 1912260 1912265) (-1117 "SOLVESER.spad" 1908547 1908558 1910017 1910022) (-1116 "SOLVERAD.spad" 1904557 1904568 1908537 1908542) (-1115 "SOLVEFOR.spad" 1902977 1902995 1904547 1904552) (-1114 "SNTSCAT.spad" 1902577 1902594 1902945 1902972) (-1113 "SMTS.spad" 1900837 1900863 1902142 1902239) (-1112 "SMP.spad" 1898276 1898296 1898666 1898793) (-1111 "SMITH.spad" 1897119 1897144 1898266 1898271) (-1110 "SMATCAT.spad" 1895229 1895259 1897063 1897114) (-1109 "SMATCAT.spad" 1893271 1893303 1895107 1895112) (-1108 "SKAGG.spad" 1892232 1892243 1893239 1893266) (-1107 "SINT.spad" 1891058 1891067 1892098 1892227) (-1106 "SIMPAN.spad" 1890786 1890795 1891048 1891053) (-1105 "SIG.spad" 1890114 1890123 1890776 1890781) (-1104 "SIGNRF.spad" 1889222 1889233 1890104 1890109) (-1103 "SIGNEF.spad" 1888491 1888508 1889212 1889217) (-1102 "SIGAST.spad" 1887872 1887881 1888481 1888486) (-1101 "SHP.spad" 1885790 1885805 1887828 1887833) (-1100 "SHDP.spad" 1875501 1875528 1876010 1876141) (-1099 "SGROUP.spad" 1875109 1875118 1875491 1875496) (-1098 "SGROUP.spad" 1874715 1874726 1875099 1875104) (-1097 "SGCF.spad" 1867596 1867605 1874705 1874710) (-1096 "SFRTCAT.spad" 1866524 1866541 1867564 1867591) (-1095 "SFRGCD.spad" 1865587 1865607 1866514 1866519) (-1094 "SFQCMPK.spad" 1860224 1860244 1865577 1865582) (-1093 "SFORT.spad" 1859659 1859673 1860214 1860219) (-1092 "SEXOF.spad" 1859502 1859542 1859649 1859654) (-1091 "SEX.spad" 1859394 1859403 1859492 1859497) (-1090 "SEXCAT.spad" 1856945 1856985 1859384 1859389) (-1089 "SET.spad" 1855245 1855256 1856366 1856405) (-1088 "SETMN.spad" 1853679 1853696 1855235 1855240) (-1087 "SETCAT.spad" 1853164 1853173 1853669 1853674) (-1086 "SETCAT.spad" 1852647 1852658 1853154 1853159) (-1085 "SETAGG.spad" 1849168 1849179 1852627 1852642) (-1084 "SETAGG.spad" 1845697 1845710 1849158 1849163) (-1083 "SEQAST.spad" 1845400 1845409 1845687 1845692) (-1082 "SEGXCAT.spad" 1844522 1844535 1845390 1845395) (-1081 "SEG.spad" 1844335 1844346 1844441 1844446) (-1080 "SEGCAT.spad" 1843242 1843253 1844325 1844330) (-1079 "SEGBIND.spad" 1842314 1842325 1843197 1843202) (-1078 "SEGBIND2.spad" 1842010 1842023 1842304 1842309) (-1077 "SEGAST.spad" 1841724 1841733 1842000 1842005) (-1076 "SEG2.spad" 1841149 1841162 1841680 1841685) (-1075 "SDVAR.spad" 1840425 1840436 1841139 1841144) (-1074 "SDPOL.spad" 1837815 1837826 1838106 1838233) (-1073 "SCPKG.spad" 1835894 1835905 1837805 1837810) (-1072 "SCOPE.spad" 1835039 1835048 1835884 1835889) (-1071 "SCACHE.spad" 1833721 1833732 1835029 1835034) (-1070 "SASTCAT.spad" 1833630 1833639 1833711 1833716) (-1069 "SAOS.spad" 1833502 1833511 1833620 1833625) (-1068 "SAERFFC.spad" 1833215 1833235 1833492 1833497) (-1067 "SAE.spad" 1831390 1831406 1832001 1832136) (-1066 "SAEFACT.spad" 1831091 1831111 1831380 1831385) (-1065 "RURPK.spad" 1828732 1828748 1831081 1831086) (-1064 "RULESET.spad" 1828173 1828197 1828722 1828727) (-1063 "RULE.spad" 1826377 1826401 1828163 1828168) (-1062 "RULECOLD.spad" 1826229 1826242 1826367 1826372) (-1061 "RSTRCAST.spad" 1825946 1825955 1826219 1826224) (-1060 "RSETGCD.spad" 1822324 1822344 1825936 1825941) (-1059 "RSETCAT.spad" 1812108 1812125 1822292 1822319) (-1058 "RSETCAT.spad" 1801912 1801931 1812098 1812103) (-1057 "RSDCMPK.spad" 1800364 1800384 1801902 1801907) (-1056 "RRCC.spad" 1798748 1798778 1800354 1800359) (-1055 "RRCC.spad" 1797130 1797162 1798738 1798743) (-1054 "RPTAST.spad" 1796832 1796841 1797120 1797125) (-1053 "RPOLCAT.spad" 1776192 1776207 1796700 1796827) (-1052 "RPOLCAT.spad" 1755266 1755283 1775776 1775781) (-1051 "ROUTINE.spad" 1751129 1751138 1753913 1753940) (-1050 "ROMAN.spad" 1750457 1750466 1750995 1751124) (-1049 "ROIRC.spad" 1749537 1749569 1750447 1750452) (-1048 "RNS.spad" 1748440 1748449 1749439 1749532) (-1047 "RNS.spad" 1747429 1747440 1748430 1748435) (-1046 "RNG.spad" 1747164 1747173 1747419 1747424) (-1045 "RMODULE.spad" 1746802 1746813 1747154 1747159) (-1044 "RMCAT2.spad" 1746210 1746267 1746792 1746797) (-1043 "RMATRIX.spad" 1745034 1745053 1745377 1745416) (-1042 "RMATCAT.spad" 1740567 1740598 1744990 1745029) (-1041 "RMATCAT.spad" 1735990 1736023 1740415 1740420) (-1040 "RINTERP.spad" 1735878 1735898 1735980 1735985) (-1039 "RING.spad" 1735348 1735357 1735858 1735873) (-1038 "RING.spad" 1734826 1734837 1735338 1735343) (-1037 "RIDIST.spad" 1734210 1734219 1734816 1734821) (-1036 "RGCHAIN.spad" 1732789 1732805 1733695 1733722) (-1035 "RGBCSPC.spad" 1732570 1732582 1732779 1732784) (-1034 "RGBCMDL.spad" 1732100 1732112 1732560 1732565) (-1033 "RF.spad" 1729714 1729725 1732090 1732095) (-1032 "RFFACTOR.spad" 1729176 1729187 1729704 1729709) (-1031 "RFFACT.spad" 1728911 1728923 1729166 1729171) (-1030 "RFDIST.spad" 1727899 1727908 1728901 1728906) (-1029 "RETSOL.spad" 1727316 1727329 1727889 1727894) (-1028 "RETRACT.spad" 1726744 1726755 1727306 1727311) (-1027 "RETRACT.spad" 1726170 1726183 1726734 1726739) (-1026 "RETAST.spad" 1725982 1725991 1726160 1726165) (-1025 "RESULT.spad" 1724042 1724051 1724629 1724656) (-1024 "RESRING.spad" 1723389 1723436 1723980 1724037) (-1023 "RESLATC.spad" 1722713 1722724 1723379 1723384) (-1022 "REPSQ.spad" 1722442 1722453 1722703 1722708) (-1021 "REP.spad" 1719994 1720003 1722432 1722437) (-1020 "REPDB.spad" 1719699 1719710 1719984 1719989) (-1019 "REP2.spad" 1709271 1709282 1719541 1719546) (-1018 "REP1.spad" 1703261 1703272 1709221 1709226) (-1017 "REGSET.spad" 1701058 1701075 1702907 1702934) (-1016 "REF.spad" 1700387 1700398 1701013 1701018) (-1015 "REDORDER.spad" 1699563 1699580 1700377 1700382) (-1014 "RECLOS.spad" 1698346 1698366 1699050 1699143) (-1013 "REALSOLV.spad" 1697478 1697487 1698336 1698341) (-1012 "REAL.spad" 1697350 1697359 1697468 1697473) (-1011 "REAL0Q.spad" 1694632 1694647 1697340 1697345) (-1010 "REAL0.spad" 1691460 1691475 1694622 1694627) (-1009 "RDUCEAST.spad" 1691181 1691190 1691450 1691455) (-1008 "RDIV.spad" 1690832 1690857 1691171 1691176) (-1007 "RDIST.spad" 1690395 1690406 1690822 1690827) (-1006 "RDETRS.spad" 1689191 1689209 1690385 1690390) (-1005 "RDETR.spad" 1687298 1687316 1689181 1689186) (-1004 "RDEEFS.spad" 1686371 1686388 1687288 1687293) (-1003 "RDEEF.spad" 1685367 1685384 1686361 1686366) (-1002 "RCFIELD.spad" 1682553 1682562 1685269 1685362) (-1001 "RCFIELD.spad" 1679825 1679836 1682543 1682548) (-1000 "RCAGG.spad" 1677737 1677748 1679815 1679820) (-999 "RCAGG.spad" 1675577 1675589 1677656 1677661) (-998 "RATRET.spad" 1674938 1674948 1675567 1675572) (-997 "RATFACT.spad" 1674631 1674642 1674928 1674933) (-996 "RANDSRC.spad" 1673951 1673959 1674621 1674626) (-995 "RADUTIL.spad" 1673706 1673714 1673941 1673946) (-994 "RADIX.spad" 1670608 1670621 1672173 1672266) (-993 "RADFF.spad" 1669022 1669058 1669140 1669296) (-992 "RADCAT.spad" 1668616 1668624 1669012 1669017) (-991 "RADCAT.spad" 1668208 1668218 1668606 1668611) (-990 "QUEUE.spad" 1667551 1667561 1667815 1667842) (-989 "QUAT.spad" 1666133 1666143 1666475 1666540) (-988 "QUATCT2.spad" 1665752 1665770 1666123 1666128) (-987 "QUATCAT.spad" 1663917 1663927 1665682 1665747) (-986 "QUATCAT.spad" 1661833 1661845 1663600 1663605) (-985 "QUAGG.spad" 1660659 1660669 1661801 1661828) (-984 "QQUTAST.spad" 1660428 1660436 1660649 1660654) (-983 "QFORM.spad" 1659891 1659905 1660418 1660423) (-982 "QFCAT.spad" 1658594 1658604 1659793 1659886) 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"ES2.spad" 422991 423007 423486 423491) (-296 "ES1.spad" 422557 422573 422981 422986) (-295 "ERROR.spad" 419878 419886 422547 422552) (-294 "EQTBL.spad" 418350 418372 418559 418586) (-293 "EQ.spad" 413224 413234 416023 416135) (-292 "EQ2.spad" 412940 412952 413214 413219) (-291 "EP.spad" 409254 409264 412930 412935) (-290 "ENV.spad" 407956 407964 409244 409249) (-289 "ENTIRER.spad" 407624 407632 407900 407951) (-288 "EMR.spad" 406825 406866 407550 407619) (-287 "ELTAGG.spad" 405065 405084 406815 406820) (-286 "ELTAGG.spad" 403269 403290 405021 405026) (-285 "ELTAB.spad" 402716 402734 403259 403264) (-284 "ELFUTS.spad" 402095 402114 402706 402711) (-283 "ELEMFUN.spad" 401784 401792 402085 402090) (-282 "ELEMFUN.spad" 401471 401481 401774 401779) (-281 "ELAGG.spad" 399414 399424 401451 401466) (-280 "ELAGG.spad" 397294 397306 399333 399338) (-279 "ELABEXPR.spad" 396225 396233 397284 397289) (-278 "EFUPXS.spad" 393001 393031 396181 396186) (-277 "EFULS.spad" 389837 389860 392957 392962) (-276 "EFSTRUC.spad" 387792 387808 389827 389832) (-275 "EF.spad" 382558 382574 387782 387787) (-274 "EAB.spad" 380834 380842 382548 382553) (-273 "E04UCFA.spad" 380370 380378 380824 380829) (-272 "E04NAFA.spad" 379947 379955 380360 380365) (-271 "E04MBFA.spad" 379527 379535 379937 379942) (-270 "E04JAFA.spad" 379063 379071 379517 379522) (-269 "E04GCFA.spad" 378599 378607 379053 379058) (-268 "E04FDFA.spad" 378135 378143 378589 378594) (-267 "E04DGFA.spad" 377671 377679 378125 378130) (-266 "E04AGNT.spad" 373513 373521 377661 377666) (-265 "DVARCAT.spad" 370198 370208 373503 373508) (-264 "DVARCAT.spad" 366881 366893 370188 370193) (-263 "DSMP.spad" 364312 364326 364617 364744) (-262 "DROPT.spad" 358257 358265 364302 364307) (-261 "DROPT1.spad" 357920 357930 358247 358252) (-260 "DROPT0.spad" 352747 352755 357910 357915) (-259 "DRAWPT.spad" 350902 350910 352737 352742) (-258 "DRAW.spad" 343502 343515 350892 350897) (-257 "DRAWHACK.spad" 342810 342820 343492 343497) (-256 "DRAWCX.spad" 340252 340260 342800 342805) (-255 "DRAWCURV.spad" 339789 339804 340242 340247) (-254 "DRAWCFUN.spad" 328961 328969 339779 339784) (-253 "DQAGG.spad" 327129 327139 328929 328956) (-252 "DPOLCAT.spad" 322470 322486 326997 327124) (-251 "DPOLCAT.spad" 317897 317915 322426 322431) (-250 "DPMO.spad" 310123 310139 310261 310562) (-249 "DPMM.spad" 302362 302380 302487 302788) (-248 "DOMCTOR.spad" 302254 302262 302352 302357) (-247 "DOMAIN.spad" 301385 301393 302244 302249) (-246 "DMP.spad" 298607 298622 299179 299306) (-245 "DLP.spad" 297955 297965 298597 298602) (-244 "DLIST.spad" 296534 296544 297138 297165) (-243 "DLAGG.spad" 294945 294955 296524 296529) (-242 "DIVRING.spad" 294487 294495 294889 294940) (-241 "DIVRING.spad" 294073 294083 294477 294482) (-240 "DISPLAY.spad" 292253 292261 294063 294068) (-239 "DIRPROD.spad" 281833 281849 282473 282604) (-238 "DIRPROD2.spad" 280641 280659 281823 281828) (-237 "DIRPCAT.spad" 279583 279599 280505 280636) (-236 "DIRPCAT.spad" 278254 278272 279178 279183) (-235 "DIOSP.spad" 277079 277087 278244 278249) (-234 "DIOPS.spad" 276063 276073 277059 277074) (-233 "DIOPS.spad" 275021 275033 276019 276024) (-232 "DIFRING.spad" 274313 274321 275001 275016) (-231 "DIFRING.spad" 273613 273623 274303 274308) (-230 "DIFEXT.spad" 272772 272782 273593 273608) (-229 "DIFEXT.spad" 271848 271860 272671 272676) (-228 "DIAGG.spad" 271478 271488 271828 271843) (-227 "DIAGG.spad" 271116 271128 271468 271473) (-226 "DHMATRIX.spad" 269420 269430 270573 270600) (-225 "DFSFUN.spad" 262828 262836 269410 269415) (-224 "DFLOAT.spad" 259549 259557 262718 262823) (-223 "DFINTTLS.spad" 257758 257774 259539 259544) (-222 "DERHAM.spad" 255668 255700 257738 257753) (-221 "DEQUEUE.spad" 254986 254996 255275 255302) (-220 "DEGRED.spad" 254601 254615 254976 254981) (-219 "DEFINTRF.spad" 252126 252136 254591 254596) (-218 "DEFINTEF.spad" 250622 250638 252116 252121) (-217 "DEFAST.spad" 249990 249998 250612 250617) (-216 "DECIMAL.spad" 248096 248104 248457 248550) (-215 "DDFACT.spad" 245895 245912 248086 248091) (-214 "DBLRESP.spad" 245493 245517 245885 245890) (-213 "DBASE.spad" 244147 244157 245483 245488) (-212 "DATAARY.spad" 243609 243622 244137 244142) (-211 "D03FAFA.spad" 243437 243445 243599 243604) (-210 "D03EEFA.spad" 243257 243265 243427 243432) (-209 "D03AGNT.spad" 242337 242345 243247 243252) (-208 "D02EJFA.spad" 241799 241807 242327 242332) (-207 "D02CJFA.spad" 241277 241285 241789 241794) (-206 "D02BHFA.spad" 240767 240775 241267 241272) (-205 "D02BBFA.spad" 240257 240265 240757 240762) (-204 "D02AGNT.spad" 235061 235069 240247 240252) (-203 "D01WGTS.spad" 233380 233388 235051 235056) (-202 "D01TRNS.spad" 233357 233365 233370 233375) (-201 "D01GBFA.spad" 232879 232887 233347 233352) (-200 "D01FCFA.spad" 232401 232409 232869 232874) (-199 "D01ASFA.spad" 231869 231877 232391 232396) (-198 "D01AQFA.spad" 231315 231323 231859 231864) (-197 "D01APFA.spad" 230739 230747 231305 231310) (-196 "D01ANFA.spad" 230233 230241 230729 230734) (-195 "D01AMFA.spad" 229743 229751 230223 230228) (-194 "D01ALFA.spad" 229283 229291 229733 229738) (-193 "D01AKFA.spad" 228809 228817 229273 229278) (-192 "D01AJFA.spad" 228332 228340 228799 228804) (-191 "D01AGNT.spad" 224391 224399 228322 228327) (-190 "CYCLOTOM.spad" 223897 223905 224381 224386) (-189 "CYCLES.spad" 220729 220737 223887 223892) (-188 "CVMP.spad" 220146 220156 220719 220724) (-187 "CTRIGMNP.spad" 218636 218652 220136 220141) (-186 "CTOR.spad" 218536 218544 218626 218631) (-185 "CTORKIND.spad" 218139 218147 218526 218531) (-184 "CTORCAT.spad" 217594 217602 218129 218134) (-183 "CTORCAT.spad" 217047 217057 217584 217589) (-182 "CTORCALL.spad" 216627 216635 217037 217042) (-181 "CSTTOOLS.spad" 215870 215883 216617 216622) (-180 "CRFP.spad" 209574 209587 215860 215865) (-179 "CRCEAST.spad" 209294 209302 209564 209569) (-178 "CRAPACK.spad" 208337 208347 209284 209289) (-177 "CPMATCH.spad" 207837 207852 208262 208267) (-176 "CPIMA.spad" 207542 207561 207827 207832) (-175 "COORDSYS.spad" 202435 202445 207532 207537) (-174 "CONTOUR.spad" 201837 201845 202425 202430) (-173 "CONTFRAC.spad" 197449 197459 201739 201832) (-172 "CONDUIT.spad" 197207 197215 197439 197444) (-171 "COMRING.spad" 196881 196889 197145 197202) (-170 "COMPPROP.spad" 196395 196403 196871 196876) (-169 "COMPLPAT.spad" 196162 196177 196385 196390) (-168 "COMPLEX.spad" 190198 190208 190442 190691) (-167 "COMPLEX2.spad" 189911 189923 190188 190193) (-166 "COMPFACT.spad" 189513 189527 189901 189906) (-165 "COMPCAT.spad" 187651 187661 189259 189508) (-164 "COMPCAT.spad" 185470 185482 187080 187085) (-163 "COMMUPC.spad" 185216 185234 185460 185465) (-162 "COMMONOP.spad" 184749 184757 185206 185211) (-161 "COMM.spad" 184558 184566 184739 184744) (-160 "COMMAAST.spad" 184321 184329 184548 184553) (-159 "COMBOPC.spad" 183226 183234 184311 184316) (-158 "COMBINAT.spad" 181971 181981 183216 183221) (-157 "COMBF.spad" 179339 179355 181961 181966) (-156 "COLOR.spad" 178176 178184 179329 179334) (-155 "COLONAST.spad" 177842 177850 178166 178171) (-154 "CMPLXRT.spad" 177551 177568 177832 177837) (-153 "CLLCTAST.spad" 177213 177221 177541 177546) (-152 "CLIP.spad" 173305 173313 177203 177208) (-151 "CLIF.spad" 171944 171960 173261 173300) (-150 "CLAGG.spad" 168429 168439 171934 171939) (-149 "CLAGG.spad" 164785 164797 168292 168297) (-148 "CINTSLPE.spad" 164110 164123 164775 164780) (-147 "CHVAR.spad" 162188 162210 164100 164105) (-146 "CHARZ.spad" 162103 162111 162168 162183) (-145 "CHARPOL.spad" 161611 161621 162093 162098) (-144 "CHARNZ.spad" 161364 161372 161591 161606) (-143 "CHAR.spad" 159232 159240 161354 161359) (-142 "CFCAT.spad" 158548 158556 159222 159227) (-141 "CDEN.spad" 157706 157720 158538 158543) (-140 "CCLASS.spad" 155855 155863 157117 157156) (-139 "CATEGORY.spad" 154945 154953 155845 155850) (-138 "CATCTOR.spad" 154836 154844 154935 154940) (-137 "CATAST.spad" 154463 154471 154826 154831) (-136 "CASEAST.spad" 154177 154185 154453 154458) (-135 "CARTEN.spad" 149280 149304 154167 154172) (-134 "CARTEN2.spad" 148666 148693 149270 149275) (-133 "CARD.spad" 145955 145963 148640 148661) (-132 "CAPSLAST.spad" 145729 145737 145945 145950) (-131 "CACHSET.spad" 145351 145359 145719 145724) (-130 "CABMON.spad" 144904 144912 145341 145346) (-129 "BYTE.spad" 144325 144333 144894 144899) (-128 "BYTEBUF.spad" 142157 142165 143494 143521) (-127 "BTREE.spad" 141226 141236 141764 141791) (-126 "BTOURN.spad" 140229 140239 140833 140860) (-125 "BTCAT.spad" 139617 139627 140197 140224) (-124 "BTCAT.spad" 139025 139037 139607 139612) (-123 "BTAGG.spad" 138147 138155 138993 139020) (-122 "BTAGG.spad" 137289 137299 138137 138142) (-121 "BSTREE.spad" 136024 136034 136896 136923) (-120 "BRILL.spad" 134219 134230 136014 136019) (-119 "BRAGG.spad" 133143 133153 134209 134214) (-118 "BRAGG.spad" 132031 132043 133099 133104) (-117 "BPADICRT.spad" 130012 130024 130267 130360) (-116 "BPADIC.spad" 129676 129688 129938 130007) (-115 "BOUNDZRO.spad" 129332 129349 129666 129671) (-114 "BOP.spad" 124796 124804 129322 129327) (-113 "BOP1.spad" 122182 122192 124752 124757) (-112 "BOOLEAN.spad" 121506 121514 122172 122177) (-111 "BMODULE.spad" 121218 121230 121474 121501) (-110 "BITS.spad" 120637 120645 120854 120881) (-109 "BINDING.spad" 120056 120064 120627 120632) (-108 "BINARY.spad" 118167 118175 118523 118616) (-107 "BGAGG.spad" 117364 117374 118147 118162) (-106 "BGAGG.spad" 116569 116581 117354 117359) (-105 "BFUNCT.spad" 116133 116141 116549 116564) (-104 "BEZOUT.spad" 115267 115294 116083 116088) (-103 "BBTREE.spad" 112086 112096 114874 114901) (-102 "BASTYPE.spad" 111758 111766 112076 112081) (-101 "BASTYPE.spad" 111428 111438 111748 111753) (-100 "BALFACT.spad" 110867 110880 111418 111423) (-99 "AUTOMOR.spad" 110314 110323 110847 110862) (-98 "ATTREG.spad" 107033 107040 110066 110309) (-97 "ATTRBUT.spad" 103056 103063 107013 107028) (-96 "ATTRAST.spad" 102773 102780 103046 103051) (-95 "ATRIG.spad" 102243 102250 102763 102768) (-94 "ATRIG.spad" 101711 101720 102233 102238) (-93 "ASTCAT.spad" 101615 101622 101701 101706) (-92 "ASTCAT.spad" 101517 101526 101605 101610) (-91 "ASTACK.spad" 100850 100859 101124 101151) (-90 "ASSOCEQ.spad" 99650 99661 100806 100811) (-89 "ASP9.spad" 98731 98744 99640 99645) (-88 "ASP8.spad" 97774 97787 98721 98726) (-87 "ASP80.spad" 97096 97109 97764 97769) (-86 "ASP7.spad" 96256 96269 97086 97091) (-85 "ASP78.spad" 95707 95720 96246 96251) (-84 "ASP77.spad" 95076 95089 95697 95702) (-83 "ASP74.spad" 94168 94181 95066 95071) (-82 "ASP73.spad" 93439 93452 94158 94163) (-81 "ASP6.spad" 92306 92319 93429 93434) (-80 "ASP55.spad" 90815 90828 92296 92301) (-79 "ASP50.spad" 88632 88645 90805 90810) (-78 "ASP4.spad" 87927 87940 88622 88627) (-77 "ASP49.spad" 86926 86939 87917 87922) (-76 "ASP42.spad" 85333 85372 86916 86921) (-75 "ASP41.spad" 83912 83951 85323 85328) (-74 "ASP35.spad" 82900 82913 83902 83907) (-73 "ASP34.spad" 82201 82214 82890 82895) (-72 "ASP33.spad" 81761 81774 82191 82196) (-71 "ASP31.spad" 80901 80914 81751 81756) (-70 "ASP30.spad" 79793 79806 80891 80896) (-69 "ASP29.spad" 79259 79272 79783 79788) (-68 "ASP28.spad" 70532 70545 79249 79254) (-67 "ASP27.spad" 69429 69442 70522 70527) (-66 "ASP24.spad" 68516 68529 69419 69424) (-65 "ASP20.spad" 67980 67993 68506 68511) (-64 "ASP1.spad" 67361 67374 67970 67975) (-63 "ASP19.spad" 62047 62060 67351 67356) (-62 "ASP12.spad" 61461 61474 62037 62042) (-61 "ASP10.spad" 60732 60745 61451 61456) (-60 "ARRAY2.spad" 60092 60101 60339 60366) (-59 "ARRAY1.spad" 58927 58936 59275 59302) (-58 "ARRAY12.spad" 57596 57607 58917 58922) (-57 "ARR2CAT.spad" 53258 53279 57564 57591) (-56 "ARR2CAT.spad" 48940 48963 53248 53253) (-55 "ARITY.spad" 48508 48515 48930 48935) (-54 "APPRULE.spad" 47752 47774 48498 48503) (-53 "APPLYORE.spad" 47367 47380 47742 47747) (-52 "ANY.spad" 45709 45716 47357 47362) (-51 "ANY1.spad" 44780 44789 45699 45704) (-50 "ANTISYM.spad" 43219 43235 44760 44775) (-49 "ANON.spad" 42916 42923 43209 43214) (-48 "AN.spad" 41217 41224 42732 42825) (-47 "AMR.spad" 39396 39407 41115 41212) (-46 "AMR.spad" 37412 37425 39133 39138) (-45 "ALIST.spad" 34824 34845 35174 35201) (-44 "ALGSC.spad" 33947 33973 34696 34749) (-43 "ALGPKG.spad" 29656 29667 33903 33908) (-42 "ALGMFACT.spad" 28845 28859 29646 29651) (-41 "ALGMANIP.spad" 26265 26280 28642 28647) (-40 "ALGFF.spad" 24580 24607 24797 24953) (-39 "ALGFACT.spad" 23701 23711 24570 24575) (-38 "ALGEBRA.spad" 23534 23543 23657 23696) (-37 "ALGEBRA.spad" 23399 23410 23524 23529) (-36 "ALAGG.spad" 22909 22930 23367 23394) (-35 "AHYP.spad" 22290 22297 22899 22904) (-34 "AGG.spad" 20599 20606 22280 22285) (-33 "AGG.spad" 18872 18881 20555 20560) (-32 "AF.spad" 17297 17312 18807 18812) (-31 "ADDAST.spad" 16975 16982 17287 17292) (-30 "ACPLOT.spad" 15546 15553 16965 16970) (-29 "ACFS.spad" 13297 13306 15448 15541) (-28 "ACFS.spad" 11134 11145 13287 13292) (-27 "ACF.spad" 7736 7743 11036 11129) (-26 "ACF.spad" 4424 4433 7726 7731) (-25 "ABELSG.spad" 3965 3972 4414 4419) (-24 "ABELSG.spad" 3504 3513 3955 3960) (-23 "ABELMON.spad" 3047 3054 3494 3499) (-22 "ABELMON.spad" 2588 2597 3037 3042) (-21 "ABELGRP.spad" 2160 2167 2578 2583) (-20 "ABELGRP.spad" 1730 1739 2150 2155) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865))
\ No newline at end of file diff --git a/src/share/algebra/category.daase b/src/share/algebra/category.daase index eae8086c..71a8c12a 100644 --- a/src/share/algebra/category.daase +++ b/src/share/algebra/category.daase @@ -1,5 +1,5 @@ -(161890 . 3440274389) +(161890 . 3440285151) (((|#2| |#2|) -12 (|has| |#2| (-308 |#2|)) (|has| |#2| (-1087))) ((#0=(-2 (|:| -2055 |#1|) (|:| -3528 |#2|)) #0#) |has| (-2 (|:| -2055 |#1|) (|:| -3528 |#2|)) (-308 (-2 (|:| -2055 |#1|) (|:| -3528 |#2|))))) ((((-558)) . T) (($) -3996 (|has| |#1| (-306)) (|has| |#1| (-362)) (|has| |#1| (-348)) (|has| |#1| (-550))) (((-406 (-558))) -3996 (|has| |#1| (-362)) (|has| |#1| (-348)) (|has| |#1| (-1028 (-406 (-558))))) ((|#1|) . T)) (((|#2| |#2|) . T)) @@ -66,7 +66,7 @@ ((((-558)) . T) (((-406 (-558))) -3996 (|has| |#2| (-38 (-406 (-558)))) (|has| |#2| (-1028 (-406 (-558))))) ((|#2|) . T) (($) -3996 (|has| |#2| (-450)) (|has| |#2| (-550)) (|has| |#2| (-899))) (((-855 |#1|)) . T)) (-3996 (|has| |#1| (-362)) (|has| |#1| (-550))) (-3996 (|has| |#1| (-362)) (|has| |#1| (-550))) -((((-2 (|:| -2197 |#1|) (|:| -1473 |#2|))) . T)) +((((-2 (|:| -2197 |#1|) (|:| -1555 |#2|))) . T)) ((($) . T)) ((((-558)) . T) (((-406 (-558))) -3996 (|has| |#1| (-38 (-406 (-558)))) (|has| |#1| (-1028 (-406 (-558))))) ((|#1|) . T) (($) -3996 (|has| |#1| (-450)) (|has| |#1| (-550)) (|has| |#1| (-899))) (((-1163)) . T)) ((((-853)) -3996 (|has| |#1| (-605 (-853))) (|has| |#1| (-841)) (|has| |#1| (-1087)))) @@ -261,11 +261,11 @@ ((((-534)) |has| |#2| (-606 (-534))) (((-882 (-378))) |has| |#2| (-606 (-882 (-378)))) (((-882 (-558))) |has| |#2| (-606 (-882 (-558))))) ((((-853)) . T)) (((|#1| |#2| |#3| |#4|) . T)) -((((-2 (|:| -2197 |#1|) (|:| -1473 |#2|))) . T) (((-853)) . T)) +((((-2 (|:| -2197 |#1|) (|:| -1555 |#2|))) . T) (((-853)) . T)) ((((-534)) |has| |#1| (-606 (-534))) (((-882 (-378))) |has| |#1| (-606 (-882 (-378)))) (((-882 (-558))) |has| |#1| (-606 (-882 (-558))))) (((|#4|) -3996 (|has| |#4| (-171)) (|has| |#4| (-362)) (|has| |#4| (-1039))) (($) |has| |#4| (-171))) (((|#3|) -3996 (|has| |#3| (-171)) (|has| |#3| (-362)) (|has| |#3| (-1039))) (($) |has| |#3| (-171))) -((((-2 (|:| -2197 |#1|) (|:| -1473 |#2|))) . T)) +((((-2 (|:| -2197 |#1|) (|:| -1555 |#2|))) . T)) ((((-853)) . T)) ((((-853)) . T)) ((((-534)) . T) (((-558)) . T) (((-882 (-558))) . T) (((-378)) . T) (((-224)) . T)) diff --git a/src/share/algebra/compress.daase b/src/share/algebra/compress.daase index f5a3efbe..79c16bfa 100644 --- a/src/share/algebra/compress.daase +++ b/src/share/algebra/compress.daase @@ -1,5 +1,5 @@ -(30 . 3440274379) +(30 . 3440285144) (4386 |Enumeration| |Mapping| |Record| |Union| |ofCategory| |isDomain| ATTRIBUTE |package| |domain| |category| CATEGORY |nobranch| AND |Join| |ofType| SIGNATURE "failed" "algebra" |OneDimensionalArrayAggregate&| @@ -474,662 +474,663 @@ |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |ParadoxicalCombinatorsForStreams| |ZeroDimensionalSolvePackage| |IntegerLinearDependence| |IntegerMod| |Enumeration| |Mapping| - |Record| |Union| |table| |rk4a| |specialTrigs| |external?| |normalise| - |blankSeparate| |factors| |cosSinInfo| |inR?| |pr2dmp| |new| - |outputFixed| |script| |tanSum| |tanh2coth| |expextendedint| - |normalForm| |lazyIntegrate| |getCurve| |whatInfinity| - |linearDependenceOverZ| |extension| |basisOfLeftNucleus| - |fortranComplex| |cCot| |debug3D| |f02awf| |numericIfCan| - |boundOfCauchy| |tan2cot| |any| |sumOfSquares| |wreath| |iiacos| - |wholePart| |leftRank| |arguments| |ocf2ocdf| |polygamma| - |isAbsolutelyIrreducible?| |shiftRight| |eigenvectors| |wrregime| - |tex| |createNormalPoly| |hue| |argument| |associator| |scalarTypeOf| - |iprint| |ord| |useSingleFactorBound| |s17ahf| |cAsinh| |sparsityIF| - |typeList| |queue| |algebraicDecompose| |dfRange| |f01qcf| - |integerIfCan| |integralLastSubResultant| |imagI| |noLinearFactor?| - |exponents| |cylindrical| |iteratedInitials| - |wordsForStrongGenerators| |binomial| |showFortranOutputStack| - |e04jaf| |createLowComplexityNormalBasis| |multiEuclideanTree| - |factor1| |fortranLogical| |children| |selectfirst| |split| - |cyclicSubmodule| |mindeg| |setprevious!| |nil| - |removeIrreducibleRedundantFactors| |hMonic| |extractIndex| |lcm| - |output| |unmakeSUP| |partition| |perspective| |cup| - |restorePrecision| |internalSubPolSet?| |df2mf| |infLex?| |wholeRadix| - |divideIfCan!| |computeCycleEntry| |arity| |hcrf| |movedPoints| - |bitCoef| |magnitude| |append| |removeSquaresIfCan| |numeric| - |factorset| |lazyPseudoQuotient| |optAttributes| |string?| |UP2ifCan| - |stopTableInvSet!| |radical| |mantissa| |left| |approximate| - |graphState| |stoseInvertible?reg| |cycleLength| |listexp| |gcd| - |nextPrimitiveNormalPoly| GF2FG |idealiserMatrix| |unitsColorDefault| - |right| |complex| |f01rcf| |drawComplexVectorField| - |numberOfImproperPartitions| |getButtonValue| |false| - |topFortranOutputStack| |center| |hasSolution?| |viewZoomDefault| - |exprHasWeightCosWXorSinWX| |rarrow| |setScreenResolution3D| |polar| - |airyAi| |moreAlgebraic?| |expintfldpoly| |minimize| |d01fcf| - |OMputFloat| |viewSizeDefault| |linSolve| |neglist| |isMult| - |rowEchLocal| |OMgetFloat| |close| |showAllElements| |cycleEntry| - |mapExponents| |multiplyCoefficients| |cCsch| |c06ebf| |inc| |symFunc| - |safetyMargin| |squareFreePrim| |upperCase| |seriesToOutputForm| - |var1StepsDefault| |showScalarValues| |imagj| |rational?| |remove| - |hessian| |#| |roughUnitIdeal?| |display| |hex| |s17dcf| BY - |endSubProgram| |setlast!| |prinb| |mr| |prologue| |revert| |sinhcosh| - |cSec| |linearlyDependent?| |transcendent?| |hexDigit| - |OMconnOutDevice| |positiveRemainder| |factorials| |insertTop!| |last| - |computeBasis| |exponent| |showSummary| |numberOfFactors| |commutator| - |algDsolve| |sum| |assoc| |factorsOfCyclicGroupSize| |powers| - |areEquivalent?| |stack| |critMTonD1| |increment| |sturmSequence| - |tableForDiscreteLogarithm| |setClosed| |cyclicParents| |length| - |numberOfPrimitivePoly| |midpoints| |contract| |ratDsolve| - |clipParametric| |exponentialOrder| |zeroDim?| |basis| - |showAttributes| |e01bef| |scripts| |deleteRoutine!| |radicalRoots| - |returnTypeOf| |input| |enqueue!| |iiatan| |zag| |toScale| - |pmintegrate| |systemCommand| |distance| |nonSingularModel| |dmp2rfi| - |library| |possiblyInfinite?| |lp| |root?| |zeroOf| |check| - |changeMeasure| |symbol| |e04mbf| |henselFact| |simpleBounds?| |comp| - |f07adf| |c05pbf| |monicDecomposeIfCan| |leftTrace| - |dimensionOfIrreducibleRepresentation| |testDim| |expression| - |rdHack1| |sh| |more?| |chvar| |setProperty!| |lazyVariations| |range| - |OMunhandledSymbol| |mainMonomials| |normal| |integer| |simpsono| - |diagonalProduct| |yCoordinates| |power!| |basisOfLeftNucloid| - |makeVariable| |cPower| |leftQuotient| |mathieu23| |cSinh| |npcoef| - |set| |LazardQuotient2| |deepestTail| |mulmod| |hasPredicate?| |key?| - |squareFreePart| |crest| |list| |d02ejf| |label| |headReduced?| - |groebnerFactorize| |ScanArabic| |port| |acscIfCan| |exp1| |qroot| - |maxRowIndex| |car| |leftExactQuotient| |reciprocalPolynomial| - |mainContent| |nodeOf?| |tanhIfCan| |algebraicOf| |traverse| - |nextsousResultant2| |subQuasiComponent?| |cdr| |musserTrials| - |leadingExponent| |lazyResidueClass| |shrinkable| - |clearTheSymbolTable| |setDifference| |birth| |rootDirectory| - |closed?| |OMputEndBVar| |monomialIntegrate| |fixPredicate| - |chainSubResultants| |cTanh| |polCase| |GospersMethod| |groebgen| - |setIntersection| |s19abf| |solveLinearPolynomialEquation| - |predicates| |pseudoRemainder| |fTable| |typeLists| |totalGroebner| - |lastSubResultantElseSplit| |setUnion| |setsubMatrix!| |getGoodPrime| - |intersect| |factorFraction| |cTan| |listConjugateBases| |sizeLess?| - |less?| |outputSpacing| |safeFloor| |integralCoordinates| - |antiAssociative?| |apply| |removeRoughlyRedundantFactorsInContents| - |secIfCan| |twoFactor| |pointPlot| |nthFractionalTerm| |realSolve| - |measure| |printingInfo?| |getRef| |coefficients| - |rewriteSetByReducingWithParticularGenerators| |generalSqFr| - |clipPointsDefault| |dec| |defineProperty| |updatD| |s17acf| - |elseBranch| |minIndex| |constructor| |universe| |size| - |mainPrimitivePart| |changeWeightLevel| |fixedPoints| |dAndcExp| - |product| |gcdPolynomial| |hash| |hconcat| |allRootsOf| - |primintfldpoly| |s20acf| |integralBasis| |maxPoints| - |basisOfLeftAnnihilator| |option| |xn| |show| |yellow| |count| - |create| |writeLine!| |leftExtendedGcd| |useEisensteinCriterion?| - |newTypeLists| |part?| = |minPoly| |alternating| - |stoseInvertible?sqfreg| |functionIsContinuousAtEndPoints| |trigs| - |s17dlf| |sqfree| |first| |triangSolve| |leader| |getlo| |trace| - |oddlambert| |integralAtInfinity?| |redmat| |ricDsolve| |B1solve| - |tubeRadius| |tensorProduct| |minus!| |rest| |remainder| < |leftPower| - |copy!| |startTableInvSet!| |elRow2!| |replaceKthElement| |datalist| - |substitute| |s21bcf| |firstDenom| |tab| |aQuadratic| > - |sylvesterSequence| |pointLists| |d02bbf| |OMgetEndBind| - |subResultantGcd| |removeDuplicates| |controlPanel| |OMlistCDs| |ode1| - |rightPower| <= |setleft!| |gcdPrimitive| |rk4f| |fortran| |goodPoint| - |makeprod| |nthFactor| |rightTrim| |e01sef| |rspace| |OMgetAttr| >= - |computeCycleLength| |primlimintfrac| |s18adf| |createGenericMatrix| - |factorSquareFreeByRecursion| |headRemainder| - |removeSuperfluousQuasiComponents| |leftTrim| |createNormalElement| - |makingStats?| |makeMulti| |trailingCoefficient| |mapDown!| - |viewport3D| |coercePreimagesImages| |primes| |internalAugment| - |weighted| |limitPlus| |iiacosh| |mapUp!| |ellipticCylindrical| - |leftDivide| |resultantEuclideannaif| |sort| |infRittWu?| |reset| - |nil?| |unparse| |clearTheFTable| |rationalPoint?| + |mkAnswer| - |normalizedAssociate| |OMsend| |objectOf| |e02baf| - |intermediateResultsIF| |reverse!| |writeByteIfCan!| |quote| - - |critpOrder| |iisech| |highCommonTerms| |viewDefaults| |sts2stst| - |write| |extendedEuclidean| |eigenMatrix| |fractionPart| |modulus| / - |quoted?| |primitive?| |legendreP| |elliptic?| |edf2df| - |normalElement| |save| |padicallyExpand| |selectIntegrationRoutines| - |eyeDistance| |kmax| |zero| |iiacsch| |e02aef| |c02aff| |orOperands| - |number?| |random| |dioSolve| |checkPrecision| |digits| |max| - |simplifyLog| |viewDeltaXDefault| |slash| |pattern| |initials| - |adaptive3D?| |minRowIndex| |genericRightNorm| |complexNormalize| - |palglimint0| |cSech| |rowEch| |addPoint| |And| |viewThetaDefault| - |raisePolynomial| |drawToScale| |plot| |chiSquare| |OMwrite| - |totalLex| |augment| |sub| |Or| |singRicDE| |cotIfCan| - |stoseInternalLastSubResultant| |primitivePart!| |prepareSubResAlgo| - |edf2ef| |addmod| |f04maf| |coordinate| |Not| |subresultantSequence| - |binaryTree| |shade| |useNagFunctions| |triangularSystems| |makeFR| - |invertibleSet| |lprop| |harmonic| |message| |fortranCarriageReturn| - |empty?| |internalZeroSetSplit| |rightRemainder| |retract| - |complexForm| |compiledFunction| |rationalPoints| |diophantineSystem| - |vconcat| |mapMatrixIfCan| |/\\| |messagePrint| - |transcendentalDecompose| |powerAssociative?| |LagrangeInterpolation| - |any?| |badValues| |flatten| |even?| |supDimElseRittWu?| |\\/| - |sech2cosh| |ratPoly| |accuracyIF| |rowEchelonLocal| |rationalIfCan| - |iitanh| |OMconnectTCP| |legendre| |fortranCompilerName| - |degreePartition| |getMatch| |infieldIntegrate| |Lazard| |jacobi| - |leftLcm| |double?| |screenResolution| |column| - |numberOfComputedEntries| |computePowers| |representationType| |critM| - |extractPoint| |linearAssociatedExp| |outputForm| |omError| |iroot| - |removeSinhSq| |fillPascalTriangle| |rationalApproximation| - |leviCivitaSymbol| |expandPower| |moebius| |leftRemainder| |cons| - |subspace| |moduleSum| |OMreceive| |dimensions| |expPot| - |sizeMultiplication| |alternatingGroup| |goto| |strongGenerators| - |f02xef| |qinterval| |invertIfCan| |impliesOperands| |eigenvector| - |absolutelyIrreducible?| |resultantReduitEuclidean| - |bezoutDiscriminant| |leftNorm| |retractIfCan| |infiniteProduct| - |byteBuffer| |clearDenominator| |scale| |branchPointAtInfinity?| - |numFunEvals3D| |reducedDiscriminant| |f04jgf| |nextColeman| - |getMultiplicationMatrix| |perfectSquare?| |extractProperty| - |newSubProgram| |iicot| |ParCondList| |startTableGcd!| - |zeroDimPrimary?| |tab1| |evenlambert| |dictionary| |lyndon?| |latex| - |expenseOfEvaluationIF| |dihedral| |repeating?| |antisymmetricTensors| - |monicDivide| |setPrologue!| |getOperator| |toseLastSubResultant| - |outerProduct| |generalizedContinuumHypothesisAssumed?| |FormatArabic| - |createZechTable| |firstSubsetGray| |returnType!| |clipSurface| - |loopPoints| |biRank| |setVariableOrder| - |rewriteIdealWithHeadRemainder| |notOperand| |fortranDouble| |sin2csc| - |palgLODE| |d03faf| |zeroSquareMatrix| |OMencodingSGML| |radix| - |csch2sinh| |medialSet| |child?| |characteristic| |c06eaf| |isExpt| - |elem?| F2FG |isPower| |positive?| |complement| |changeName| RF2UTS - |copies| |setchildren!| |nullity| |hdmpToDmp| |content| |point?| - |iicos| |usingTable?| |submod| |term| |node| |obj| |negative?| |critT| - |graphs| |exprHasLogarithmicWeights| |OMgetError| - |halfExtendedSubResultantGcd2| |redpps| - |semiDegreeSubResultantEuclidean| |map| |nary?| |style| |infieldint| - |cache| |bothWays| |Nul| |diagonal?| |iipow| |lowerCase!| - |atrapezoidal| |nextIrreduciblePoly| |countRealRootsMultiple| - |quatern| |lowerCase?| |central?| |genericLeftNorm| |fintegrate| - |fprindINFO| |rk4qc| |ode2| |iiasech| |wordInStrongGenerators| - |polyPart| |zoom| |symmetricGroup| |integralDerivationMatrix| - |equivOperands| |makeop| |acosIfCan| |prefixRagits| |weakBiRank| - |unit?| |pushdown| |bivariate?| |algebraicSort| - |stiffnessAndStabilityOfODEIF| |directSum| |OMbindTCP| |rootsOf| - |brillhartIrreducible?| |changeNameToObjf| |convert| |btwFact| - |randomR| |leftCharacteristicPolynomial| |key| |size?| |nthRootIfCan| - |irreducibleFactors| |differentialVariables| |orbit| |equiv| |nand| - |stirling1| |OMserve| |radicalEigenvalues| |LowTriBddDenomInv| - |powerSum| |stop| |hclf| |quartic| |filename| |prolateSpheroidal| - |diagonal| |cycleElt| |closedCurve| |e01daf| |enumerate| - |positiveSolve| |char| |mesh| |not?| |reduceBasisAtInfinity| - |rightLcm| |branchPoint?| |inf| |schema| |curveColorPalette| |parse| - |binary| |kovacic| |maximumExponent| |printStats!| |iflist2Result| - |null| |critBonD| |constDsolve| |oddInfiniteProduct| |unitCanonical| - |getMeasure| |normFactors| |leaves| |monomial?| |subResultantChain| - |not| |rk4| |assign| |e04dgf| |rightRankPolynomial| |row| - |setErrorBound| |bracket| |outputGeneral| |and| |initTable!| |swap!| - |red| |argscript| |selectAndPolynomials| |axesColorDefault| - |generalizedContinuumHypothesisAssumed| |equation| |choosemon| |or| - |coefChoose| |OMgetEndAtp| |norm| |float| |firstNumer| |setEpilogue!| - |clip| |prepareDecompose| |antisymmetric?| |xor| |maxIndex| - |permutations| |removeDuplicates!| |inspect| |cAtan| |OMgetString| - |SturmHabicht| |buildSyntax| |deriv| |case| |ran| |pointData| - |generic| |complexIntegrate| |subMatrix| |iifact| - |mainCharacterization| |lepol| |Zero| |d01anf| |parametersOf| - |ScanFloatIgnoreSpaces| |concat!| |writeBytes!| |reduced?| |optional?| - |One| |setAdaptive3D| |subset?| |numer| |power| |pointColorDefault| - |iisec| |finite?| |findBinding| |modularGcd| |monicModulo| - |scaleRoots| |laurentIfCan| |Vectorise| |cyclicGroup| - |splitSquarefree| |denom| |df2ef| |s17ajf| |cot2tan| |multiple?| - |aCubic| |virtualDegree| |coerceL| |errorKind| |d02gaf| |constant?| - |minordet| |multiplyExponents| |e04fdf| |replace| |setRow!| - |mappingAst| |setelt!| |refine| |pi| |monicRightFactorIfCan| |index| - |indicialEquationAtInfinity| |hostPlatform| |rightUnits| |OMgetBind| - |factorGroebnerBasis| |solve1| |composites| |declare| |parseString| - |rightScalarTimes!| |infinity| |upperCase?| |normal?| |symbolIfCan| - |zero?| |inputBinaryFile| |stoseIntegralLastSubResultant| |elt| - |taylorQuoByVar| |OMcloseConn| |union| |Frobenius| |minimumExponent| - |setTex!| |uniform| |primitivePart| |readIfCan!| - |semiResultantEuclideannaif| |chiSquare1| |getProperty| |rootOf| - |pair| |setButtonValue| |viewDeltaYDefault| |iiatanh| |dominantTerm| - |sortConstraints| |iisin| |subst| |mkPrim| |light| |kernel| |solve| - |entry?| |startStats!| |ratpart| |normalize| |draw| |operation| - |diagonals| |divide| |setCondition!| |genericRightTraceForm| - |linearDependence| |completeEchelonBasis| |sumSquares| |Ei| |mapCoef| - |baseRDEsys| |pleskenSplit| |setRealSteps| |cothIfCan| |insertBottom!| - |qualifier| |isobaric?| |li| |OMputEndApp| |OMlistSymbols| - |rowEchelon| |besselJ| |removeRedundantFactorsInPols| |value| - |rischDEsys| |reduceByQuasiMonic| |conical| |f04arf| |polynomialZeros| - |cfirst| |box| |sinIfCan| |externalList| |mainMonomial| - |numberOfNormalPoly| |meshPar2Var| |createRandomElement| - |autoReduced?| |freeOf?| |constantLeft| |stoseInvertibleSet| - |rightFactorIfCan| |rootPoly| |coth2tanh| |d03edf| |closedCurve?| - |makeObject| |returns| |showTheIFTable| |setref| |denominators| - |writable?| |quasiMonicPolynomials| |alternative?| |atoms| |critMonD1| - |acschIfCan| |matrixGcd| |lifting1| |euler| - |primPartElseUnitCanonical!| |currentEnv| |sequences| |expandLog| - |patternMatchTimes| |wronskianMatrix| |variable?| |coef| - |numberOfCycles| |regime| |equality| |splitLinear| |reopen!| - |partialDenominators| |rectangularMatrix| |middle| |bat| |pdct| - |real?| |finiteBound| |f07fdf| |f02fjf| |has?| |integral?| |whileLoop| - |basicSet| |subtractIfCan| |cCoth| |colorFunction| |padecf| - |unvectorise| |jacobian| |f01qef| |lazy?| |s19aaf| |cscIfCan| - |rationalPower| |ScanFloatIgnoreSpacesIfCan| |stripCommentsAndBlanks| - |s14abf| |rootKerSimp| |pole?| |qPot| |minset| |find| |OMgetType| - |position!| |separate| |FormatRoman| |gcdprim| |lowerCase| - |distribute| |factorSquareFreePolynomial| |loadNativeModule| - |unprotectedRemoveRedundantFactors| |characteristicSerie| |listLoops| - |stFunc2| |resultant| |matrixConcat3D| |nrows| |varselect| - |numFunEvals| |separant| |edf2fi| |saturate| |sumOfDivisors| - |OMreadFile| |discreteLog| |algebraic?| |lastSubResultantEuclidean| - |mapUnivariateIfCan| |ncols| |order| |quoByVar| |binomThmExpt| - |OMgetEndObject| |internalLastSubResultant| |decomposeFunc| - |shallowCopy| |normalDeriv| |conditionP| |nativeModuleExtension| - |univariatePolynomialsGcds| |subPolSet?| |scopes| |inHallBasis?| - |members| |symmetricTensors| |complexRoots| |constantKernel| - |plotPolar| |maxint| |isList| |safeCeiling| - |degreeSubResultantEuclidean| |multiset| |unrankImproperPartitions0| - |iiacot| |difference| |tower| |e02bdf| |numerator| |sign| - |constantOperator| |solid?| |pdf2ef| |flexible?| |rank| - |reducedSystem| |f01qdf| |condition| |rightUnit| |updateStatus!| - |point| |semiResultantEuclidean1| |shanksDiscLogAlgorithm| - |bivariateSLPEBR| |pushucoef| |zeroSetSplitIntoTriangularSystems| - |tracePowMod| |f01rdf| |level| |squareFreeFactors| |mapSolve| - |clearTable!| |build| |deepestInitial| |setImagSteps| |OMgetEndAttr| - |irreducibleRepresentation| |shufflein| |att2Result| |finiteBasis| - |someBasis| |sturmVariationsOf| |leadingSupport| |eq| - |indiceSubResultant| |insertionSort!| |linGenPos| |sincos| - |basisOfRightNucleus| |repeatUntilLoop| |search| |iter| - |characteristicSet| |series| |rquo| |aLinear| LODO2FUN |gradient| - |normalDenom| |llprop| |Lazard2| |leadingMonomial| |complexNumeric| - |leftFactorIfCan| |expint| |OMputEndAtp| |normalizeAtInfinity| - |solveid| |bitLength| |palgRDE| |outputMeasure| |coerceS| - |complexEigenvalues| |bandedJacobian| |leadingCoefficient| |rules| - |genericRightTrace| |fixedDivisor| |unknown| |dequeue!| |s13acf| - |coefficient| |isTimes| |removeSinSq| |eigenvalues| |simpson| - |reverseLex| |minrank| |primitiveMonomials| |kernels| |f02axf| - |c06fqf| |e02def| |complexSolve| |innerSolve1| |weight| - |categoryFrame| |complexLimit| |lists| |overbar| |reductum| - |univariate| |elementary| |iicsch| |bringDown| |min| |anticoord| - |resultantnaif| |parametric?| |toseInvertible?| |linkToFortran| - |s18aef| |tanQ| |irreducible?| |tube| |combineFeatureCompatibility| - |mapGen| |comment| |makeCrit| |approxNthRoot| |d01gaf| |quotientByP| - |s13aaf| |tubePlot| |d01gbf| |overset?| |decompose| - |OMencodingUnknown| |vspace| |rightMinimalPolynomial| |complete| - |factor| |convergents| |rightOne| |principal?| |true| |subCase?| - |conjug| |exp| |OMParseError?| |exponential| |makeTerm| |conjugate| - |sqrt| |divideIfCan| |transform| |seed| |normInvertible?| - |mainSquareFreePart| ~= |zerosOf| |orbits| |dualSignature| |satisfy?| - |real| |bezoutMatrix| |exprToGenUPS| |getOrder| |uncouplingMatrices| - |goodnessOfFit| |coerce| |orthonormalBasis| |region| |groebnerIdeal| - |round| |imag| |OMputSymbol| |balancedFactorisation| - |lazyPseudoDivide| |sdf2lst| |increasePrecision| |hspace| - |extractIfCan| |fortranLinkerArgs| |showTheRoutinesTable| - |directProduct| |compile| |viewPhiDefault| |e01sff| |generic?| |bag| - |ranges| |showTypeInOutput| |closeComponent| |readBytes!| - |generalTwoFactor| |squareMatrix| |distFact| |upperCase!| - |roughEqualIdeals?| |elements| |simplify| |collectQuasiMonic| - |OMgetInteger| |semiResultantReduitEuclidean| |brace| |fi2df| |empty| - |fortranInteger| |asinhIfCan| |viewPosDefault| |second| - |innerEigenvectors| |compactFraction| |denominator| |upDateBranches| - |destruct| |setFormula!| |lfextendedint| |viewWriteDefault| - |vertConcat| |third| |youngGroup| |nullSpace| |reflect| - |linearAssociatedOrder| |nullary?| |problemPoints| |sinhIfCan| - |integralRepresents| |pow| |intcompBasis| |leastMonomial| - |commaSeparate| |minColIndex| |pair?| |semiDiscriminantEuclidean| - |gderiv| |bombieriNorm| |e04ucf| |compBound| |explicitEntries?| - |d01amf| |yCoord| |const| |setAdaptive| |showTheSymbolTable| - |factorOfDegree| |f04mcf| |rightQuotient| |reseed| |resetNew| - |monomial| |lazyPrem| |mkcomm| |stosePrepareSubResAlgo| - |symmetricDifference| |makeYoungTableau| |totalDegree| |recur| - |semicolonSeparate| |intChoose| |c06fpf| |multivariate| - |identitySquareMatrix| |binaryTournament| |nthCoef| |zeroDimPrime?| - |powern| |readLineIfCan!| |setLabelValue| |euclideanNormalForm| - |f01maf| |direction| |variables| |palglimint| |OMputAttr| - |OMgetEndBVar| |OMgetVariable| |mirror| |setPredicates| - |showTheFTable| |f07aef| |setAttributeButtonStep| |green| |findCycle| - |pomopo!| |setFieldInfo| |bat1| |module| |diff| |adaptive| |makeUnit| - |nextNormalPrimitivePoly| |fortranLiteralLine| |d01bbf| |groebner?| - |internalDecompose| |predicate| |mdeg| |lyndonIfCan| |contours| - |ef2edf| |startTable!| |vedf2vef| |e01baf| |karatsubaOnce| - |splitNodeOf!| |rationalFunction| |UnVectorise| - |numericalOptimization| |poisson| |leftOne| |square?| |initial| - |beauzamyBound| |asimpson| |viewWriteAvailable| |genericLeftTraceForm| - |element?| |halfExtendedResultant2| |trueEqual| |dihedralGroup| - |taylor| |OMUnknownSymbol?| |stoseInvertible?| |localIntegralBasis| - |iidsum| |zeroMatrix| |d03eef| |s21bdf| |indicialEquations| - |flexibleArray| |rCoord| |inputOutputBinaryFile| |twist| |laurent| - |algebraicVariables| |nilFactor| |index?| |algintegrate| |laplacian| - |headReduce| |presuper| |pToDmp| |OMReadError?| |minimumDegree| - |makeSeries| |numberOfChildren| |puiseux| |e02bef| |unaryFunction| - |subscript| |nextPrimitivePoly| |univcase| |tanAn| - |removeRedundantFactorsInContents| |toseInvertibleSet| |bfEntry| - |torsion?| |compound?| |insertRoot!| |bumptab| |mainVariable| - |extractBottom!| |lquo| |systemSizeIF| |particularSolution| |inv| - |tanintegrate| |iibinom| |infix| |xCoord| |degree| |squareFree| - |complexEigenvectors| |mainVariables| |swapColumns!| |f04asf| - |ground?| |getMultiplicationTable| |float?| |hasHi| |gbasis| |setPoly| - |parameters| |digit?| |addPoint2| |solveLinear| |linear?| |vark| - |rischDE| |ground| |s21baf| |nonLinearPart| |setEmpty!| - |internalSubQuasiComponent?| |unexpand| |sayLength| - |symmetricRemainder| |initiallyReduce| |polyRicDE| - |bipolarCylindrical| |asinIfCan| |clearTheIFTable| |integers| - |cycleSplit!| |oblateSpheroidal| |divergence| |s01eaf| - |rewriteSetWithReduction| |getGraph| |addMatchRestricted| |d02gbf| - |ref| |term?| |arg1| |OMUnknownCD?| |computeInt| |definingInequation| - |leftRecip| |superHeight| |quasiRegular?| |fracPart| |nextPrime| - |complementaryBasis| |derivationCoordinates| |LiePoly| |factorList| - |arg2| |nextItem| |UpTriBddDenomInv| |unit| |dark| |cubic| - |parabolicCylindrical| |iiGamma| |subHeight| |imagK| |e02daf| - |inrootof| |getConstant| |thenBranch| |primeFrobenius| |cycleRagits| - |optimize| |BumInSepFFE| |basisOfMiddleNucleus| |exQuo| - |getExplanations| |determinant| |ipow| |callForm?| |conditions| - |outputArgs| |OMopenString| |charthRoot| |nextPartition| |symmetric?| - |mkIntegral| |testModulus| |dimensionsOf| |pointColor| |nthExpon| - |fullPartialFraction| |droot| |rdregime| |match| |basisOfRightNucloid| - |cyclotomicFactorization| |redPol| |HenselLift| |subResultantsChain| - |stoseLastSubResultant| |oddintegers| |linearlyDependentOverZ?| - |fortranLiteral| |evenInfiniteProduct| |pseudoQuotient| - |rangeIsFinite| |log10| |OMgetEndApp| |lfintegrate| |e01sbf| |f04atf| - |expressIdealMember| |addPointLast| |summation| |companionBlocks| - |exprToUPS| |character?| |c05nbf| |bitand| - |semiIndiceSubResultantEuclidean| |permutationGroup| - |rewriteIdealWithRemainder| |initiallyReduced?| |makeSUP| |drawCurves| - |partialNumerators| |structuralConstants| |indices| |factorPolynomial| - |brillhartTrials| |knownInfBasis| |domainOf| |unravel| |bitior| - |airyBi| |c06gqf| |linear| |iilog| |curve| |formula| |interval| - |OMsupportsCD?| |and?| |OMgetAtp| |debug| |explicitlyFinite?| |Si| - |ddFact| |corrPoly| |simplifyExp| |e01bff| |rename| |setValue!| - |inverseIntegralMatrix| |frst| |lazyEvaluate| |result| |quadraticNorm| - D |just| |partialFraction| |f02adf| |mpsode| |atanIfCan| |polynomial| - |figureUnits| |polarCoordinates| |SturmHabichtSequence| |genus| - |rootBound| |aQuartic| |properties| |transpose| |arrayStack| - |univariateSolve| |perfectNthPower?| |withPredicates| |ScanRoman| - |asech| |paren| |quasiAlgebraicSet| |cCos| |coth2trigh| - |lazyGintegrate| |translate| |cross| |cAsech| |e02ajf| - |reducedQPowers| |besselI| |pointSizeDefault| |newLine| |sechIfCan| - |OMreadStr| |expt| |in?| |commutative?| |createIrreduciblePoly| |pade| - |overlabel| |printHeader| |multiple| |conjugates| |alphabetic| - |drawStyle| |component| |superscript| |identityMatrix| |readable?| - |leftAlternative?| |splitConstant| |separateDegrees| |dflist| - |exprHasAlgebraicWeight| |applyQuote| |deleteProperty!| - |initializeGroupForWordProblem| |curry| |stoseInvertibleSetreg| - |sequence| |subSet| |checkRur| |scalarMatrix| |mergeFactors| - |integral| |internalIntegrate| |iiacsc| |lfunc| |ldf2lst| |lookup| - |fractRagits| |stopTableGcd!| |numberOfHues| |dot| |linears| - |enterPointData| |s17akf| |separateFactors| |coerceListOfPairs| - |cAtanh| |OMopenFile| |setvalue!| |lineColorDefault| - |rightCharacteristicPolynomial| |selectsecond| |roughBasicSet| |Gamma| - |lift| |ruleset| |generators| |divisorCascade| |binaryFunction| - |exteriorDifferential| |pushuconst| |merge!| |head| |iisqrt2| |maxrow| - |alphanumeric| |screenResolution3D| |reduce| |top| |OMencodingXML| - |signatureAst| |csubst| |forLoop| |critB| |asecIfCan| |print| - |reducedContinuedFraction| |jordanAlgebra?| |e04gcf| |iterationVar| - |cyclotomic| |measure2Result| |generalizedEigenvector| - |generalizedInverse| |trace2PowMod| |BasicMethod| |multMonom| - |resolve| |s17dhf| |approxSqrt| |listRepresentation| |charClass| - |composite| |genericRightDiscriminant| |antiCommutator| |suchThat| - |normal01| |infix?| |iiabs| |completeHensel| |s18dcf| |clikeUniv| - |interpret| |symmetricPower| |hexDigit?| |s18acf| |identity| - |primlimitedint| |rootSplit| |solveLinearlyOverQ| |mask| |laguerre| - |relationsIdeal| |bytes| |Is| |denomLODE| |imaginary| |OMputEndObject| - |OMgetSymbol| |cCsc| |quasiComponent| |packageCall| |rootNormalize| - |myDegree| |eulerPhi| |cAcsch| |s17adf| |mergeDifference| |powmod| - |maxrank| |chineseRemainder| |c02agf| |contractSolve| |bernoulli| - |logIfCan| |ignore?| |subresultantVector| |nextLatticePermutation| - |directory| |repSq| |generate| |heap| |possiblyNewVariety?| |d01akf| - |rombergo| |approximants| |outputAsTex| |fortranTypeOf| - |rightAlternative?| |over| |argumentList!| |shallowExpand| |connectTo| - |complexElementary| |totolex| |whitePoint| |basisOfCentroid| - |OMputVariable| |createPrimitiveElement| |karatsuba| |charpol| - |moduloP| |incrementBy| |cExp| |leftUnits| |swapRows!| |divisors| - |c06ekf| |processTemplate| |getSyntaxFormsFromFile| |leastPower| - |lyndon| |asechIfCan| |evaluate| |triangular?| |expand| |limit| - |duplicates| |nthRoot| |gramschmidt| |bipolar| |surface| |d01asf| - |OMputApp| |atom?| |OMencodingBinary| |rootRadius| |distdfact| - |filterWhile| |makeEq| |smith| |probablyZeroDim?| |name| - |associatedSystem| |leftRegularRepresentation| |root| |push!| - |subResultantGcdEuclidean| |completeHermite| |frobenius| |pushdterm| - |filterUntil| |scanOneDimSubspaces| |maxPoints3D| |body| - |stronglyReduced?| |digit| |mat| |perfectSqrt| |list?| - |selectFiniteRoutines| |cschIfCan| Y |LazardQuotient| |select| - |nthFlag| |phiCoord| |skewSFunction| |rightFactorCandidate| |exquo| - |integralMatrix| |minGbasis| |halfExtendedResultant1| |maxdeg| - |setTopPredicate| |generalInfiniteProduct| |categories| |d02raf| - |toseSquareFreePart| |f07fef| |OMgetBVar| |t| |null?| |div| - |appendPoint| |primitiveElement| |meshFun2Var| |monic?| |rightRecip| - |consnewpol| |cyclicCopy| F |mainDefiningPolynomial| - |algebraicCoefficients?| |setProperties!| |e01bgf| |cardinality| |quo| - |host| |shift| |readByteIfCan!| |high| |pushNewContour| |dimension| - |write!| |s14aaf| |laguerreL| |ODESolve| |collect| |lflimitedint| - |constantIfCan| |e02ahf| |LiePolyIfCan| |pToHdmp| |opeval| - |permutationRepresentation| |ldf2vmf| |primPartElseUnitCanonical| - |monomRDEsys| |sec2cos| |rem| |exptMod| |showClipRegion| |iFTable| - |quadraticForm| |karatsubaDivide| |adjoint| |trivialIdeal?| |d01ajf| - |front| |reducedForm| |radicalSimplify| |setColumn!| - |antiCommutative?| |tanNa| |sizePascalTriangle| |linearPolynomials| - |property| |completeEval| |makeRecord| |selectOrPolynomials| - |createThreeSpace| |topPredicate| |principalIdeal| |curryRight| - |constantRight| |tRange| |c05adf| |geometric| |removeZero| - |setLength!| |realRoots| |normalizeIfCan| |symbolTableOf| - |bezoutResultant| |e02akf| |pseudoDivide| |cyclotomicDecomposition| - |cycle| |modTree| |status| |tryFunctionalDecomposition?| |e01bhf| - |nthExponent| |f01bsf| |s15aef| |adaptive?| |besselK| |ParCond| - |triangulate| |units| |df2st| |numberOfMonomials| |depth| - |indicialEquation| |realZeros| |d01alf| |nthr| |maxColIndex| |meatAxe| - |subNodeOf?| |iiexp| |mainVariable?| ** |rotate| |shellSort| |e02bcf| - |capacity| |duplicates?| |putColorInfo| |coHeight| |resetBadValues| - |idealSimplify| |changeThreshhold| |clipBoolean| |getZechTable| - |signAround| |OMputBVar| |toroidal| |exactQuotient!| |logpart| - |mainForm| |flagFactor| |mainExpression| |extensionDegree| |lintgcd| - |create3Space| |nextNormalPoly| |fixedPointExquo| |nextSublist| - |setPosition| |credPol| |stopTable!| EQ |nextSubsetGray| - |primaryDecomp| |chebyshevU| |rightExactQuotient| |lighting| - |scripted?| |tanh2trigh| |palgintegrate| |f04adf| |janko2| |code| - |numericalIntegration| |setright!| |fixedPoint| |ListOfTerms| - |factorSquareFree| |createLowComplexityTable| |validExponential| - |OMputEndError| |abs| |realElementary| |prime| |polyRDE| - |numberOfComponents| |presub| |taylorRep| |normDeriv2| - |patternVariable| |OMgetEndError| |lllp| |ode| |groebSolve| |rotatez| - |f02bjf| |s13adf| |decreasePrecision| |sinh2csch| |rootPower| - |eisensteinIrreducible?| |iCompose| |rightRegularRepresentation| - |evaluateInverse| |recoverAfterFail| |signature| |hdmpToP| - |showRegion| |s17dgf| |basisOfCommutingElements| |OMread| - |collectUnder| |dom| |changeBase| |cRationalPower| |generalLambert| - |semiLastSubResultantEuclidean| |rational| |optpair| |intPatternMatch| - |OMgetApp| |exponential1| |f02bbf| |f02agf| |overlap| |category| - |selectODEIVPRoutines| |stFunc1| |leftUnit| |rightTrace| |headAst| - |primextendedint| |lex| |domain| |logical?| |fullDisplay| - |listBranches| |minPol| |f02akf| |coerceImages| |nodes| |s20adf| - |rroot| |kind| |package| |purelyAlgebraic?| |inverseColeman| |cn| - |checkForZero| |swap| |standardBasisOfCyclicSubmodule| |components| - |singularitiesOf| |setProperties| |invmultisect| |options| |op| |nlde| - |getVariableOrder| |slex| |setClipValue| |LyndonWordsList| - |definingPolynomial| |palgint| |expIfCan| |title| |explogs2trigs| - |symbolTable| |bindings| |var2Steps| |edf2efi| |coord| |ip4Address| - |psolve| |expandTrigProducts| |weights| |atanhIfCan| |terms| - |factorsOfDegree| |getPickedPoints| - |solveLinearPolynomialEquationByFractions| |physicalLength| - |minPoints3D| |pascalTriangle| |quotedOperators| - |squareFreeLexTriangular| |OMputError| |string| |backOldPos| - |outputFloating| |implies?| |tValues| |degreeSubResultant| |e| - |cyclePartition| |s17aef| |factorByRecursion| |wholeRagits| - |transcendenceDegree| |quadratic?| |makeCos| |tanIfCan| |roughBase?| - |relativeApprox| |printCode| |mapmult| |pdf2df| |exactQuotient| |cLog| - |extendedIntegrate| |cos2sec| |resultantEuclidean| |sample| - |extractTop!| |read!| |stopMusserTrials| |internalIntegrate0| - |lagrange| |quadratic| |resetAttributeButtons| |f01mcf| - |doublyTransitive?| |sqfrFactor| |euclideanSize| |curveColor| - |lieAdmissible?| |symmetricSquare| |addMatch| |cond| |endOfFile?| - |odd?| |interpolate| |extract!| |rotatex| |internal?| - |numberOfOperations| |radicalEigenvector| |bandedHessian| |points| - |d02bhf| |complexNumericIfCan| |setrest!| |fibonacci| |setOfMinN| - |palgRDE0| |nothing| |bounds| |cyclicEntries| |localUnquote| - |roughSubIdeal?| |monomRDE| |f04axf| |recip| |recolor| |leftMult| - |makeSketch| |basisOfCenter| |decimal| |say| |pushFortranOutputStack| - |mightHaveRoots| |repeating| |rule| |log2| |mapdiv| |inverse| |cap| - |iicosh| |euclideanGroebner| |entry| |LyndonWordsList1| |lexico| - |trapezoidal| |floor| |lazyPremWithDefault| |alphabetic?| - |setMaxPoints3D| |block| |supersub| |bit?| |comparison| |s21bbf| - |laplace| |sup| |c06fuf| |cAcos| |roman| |bivariatePolynomials| - |noKaratsuba| |mapUnivariate| |octon| |tryFunctionalDecomposition| - |times!| |increase| |width| |sncndn| |tablePow| |e02bbf| |reverse| - |meshPar1Var| |leadingTerm| |se2rfi| |eof?| |abelianGroup| |f02aef| - |getCode| |int| |f01ref| |lo| |popFortranOutputStack| |froot| - |quotient| |lambert| |horizConcat| |numberOfVariables| |dequeue| - |alphanumeric?| |inconsistent?| |seriesSolve| |morphism| |iiacoth| - |OMsupportsSymbol?| |byte| |retractable?| |numberOfComposites| - |semiSubResultantGcdEuclidean2| |mesh?| |physicalLength!| |void| - |pmComplexintegrate| |commutativeEquality| |lazyIrreducibleFactors| - |outputAsFortran| |removeRedundantFactors| |putGraph| |gcdcofact| - |belong?| |cyclicEqual?| |normalized?| |numberOfDivisors| - |doubleFloatFormat| |removeCosSq| |cAcsc| |entries| |permanent| - |partialQuotients| |inRadical?| |d02kef| |setProperty| |ideal| - |useSingleFactorBound?| |showIntensityFunctions| |plusInfinity| - |semiResultantEuclidean2| |localAbs| |aspFilename| |currentSubProgram| - |prime?| |enterInCache| |stirling2| |plenaryPower| |complexZeros| - |d01apf| |reduceLODE| |minusInfinity| |associatedEquations| |optional| - |extendIfCan| |factorAndSplit| |s18aff| |OMputBind| |double| |polyred| - |fortranCharacter| |univariatePolynomials| |e02gaf| - |halfExtendedSubResultantGcd1| |init| |LyndonCoordinates| |is?| - |purelyAlgebraicLeadingMonomial?| |leftMinimalPolynomial| |mathieu11| - |palgextint0| |extendedint| |integralBasisAtInfinity| |mindegTerm| - |noncommutativeJordanAlgebra?| |makeFloatFunction| |selectPolynomials| - |componentUpperBound| |graphCurves| |radPoly| |intensity| |partitions| - |listOfLists| |interpretString| |explicitlyEmpty?| |tan2trig| - |mapBivariate| |pushup| |rightMult| |mix| |principalAncestors| - |discriminant| |coshIfCan| |back| |extendedSubResultantGcd| - |solveInField| |primextintfrac| |c06gcf| |tubePointsDefault| - |OMputEndAttr| |acothIfCan| |compose| |binarySearchTree| |OMputAtp| - |incrementKthElement| |getIdentifier| |numberOfFractionalTerms| |type| - |tubeRadiusDefault| |implies| |subTriSet?| |linearMatrix| |e02ddf| - |var2StepsDefault| |cyclic?| |getDatabase| |bfKeys| |s15adf| - |makeResult| |removeRoughlyRedundantFactorsInPols| |limitedint| - |integerBound| |HermiteIntegrate| |singleFactorBound| |declare!| - |unary?| SEGMENT |pastel| |curve?| |operators| |cot2trig| |scan| - |perfectNthRoot| |normalizedDivide| |csc2sin| |leadingIdeal| |e04naf| - |constant| |integrate| |constantToUnaryFunction| |reorder| - |outlineRender| |redPo| |imagi| |reindex| |move| |exists?| - |genericLeftTrace| |paraboloidal| |printTypes| |subNode?| |crushedSet| - |fractRadix| |open?| |genericRightMinimalPolynomial| |lexTriangular| - |outputAsScript| |tubePoints| |prindINFO| |super| |hyperelliptic| - |nullary| |solveLinearPolynomialEquationByRecursion| - |inverseIntegralMatrixAtInfinity| |subscriptedVariables| |f02wef| - |imagk| |dn| |member?| |color| |chebyshevT| |merge| |zCoord| |s14baf| - |torsionIfCan| |semiSubResultantGcdEuclidean1| |Aleph| |updatF| - |escape| |leadingIndex| |getBadValues| |Hausdorff| |makeViewport3D| - |iicsc| |lfextlimint| |simplifyPower| |rightDivide| |concat| - |monicLeftDivide| |postfix| |badNum| |homogeneous?| |segment| |addiag| - |zeroDimensional?| |rightGcd| |regularRepresentation| |untab| |f02aaf| - |clipWithRanges| |pol| |error| |listOfMonoms| |imports| |addBadValue| - |extend| |gethi| |blue| |OMputInteger| |gcdcofactprim| |imagE| - |SFunction| |assert| |mapExpon| |showAll?| |showArrayValues| |trim| - |removeCoshSq| |varList| |e02adf| |totalfract| |PDESolve| |stFuncN| - |ptFunc| |bsolve| |deepCopy| |currentScope| - |unrankImproperPartitions1| |vector| |isOpen?| |ceiling| |setStatus!| - |stiffnessAndStabilityFactor| |listYoungTableaus| - |setLegalFortranSourceExtensions| |identification| |bottom!| - |idealiser| |differentiate| |iiasin| |realEigenvectors| |colorDef| - |leftScalarTimes!| |ffactor| |cSin| |elColumn2!| - |discriminantEuclidean| |prem| |f2st| |linearAssociatedLog| ~ |low| - |argumentListOf| |one?| |df2fi| |totalDifferential| |graphStates| - |innerint| |continuedFraction| |source| |matrix| |generateIrredPoly| - |interReduce| |lfinfieldint| |c06gsf| |f2df| |notelem| |e01saf| - |countRealRoots| |createPrimitiveNormalPoly| |mvar| |open| - |rewriteIdealWithQuasiMonicGenerators| |errorInfo| |connect| - |algSplitSimple| |PollardSmallFactor| |monicRightDivide| |f01brf| - |axes| |generalizedEigenvectors| |characteristicPolynomial| - |ramifiedAtInfinity?| |ptree| |purelyTranscendental?| |quickSort| - |keys| |algint| |exprToXXP| |hermite| |besselY| - |clearFortranOutputStack| |radicalSolve| |associatorDependence| - |ratDenom| |viewpoint| |moebiusMu| |selectSumOfSquaresRoutines| - |construct| |represents| |newReduc| |monicCompleteDecompose| - |constantOpIfCan| |integralMatrixAtInfinity| - |constantCoefficientRicDE| |expenseOfEvaluation| |isConnected?| - |RemainderList| |internalInfRittWu?| |kroneckerDelta| |push| - |leftTraceMatrix| |largest| |ksec| |bright| |target| |erf| - |basisOfNucleus| |printStatement| |makeViewport2D| |coleman| - |conditionsForIdempotents| |createMultiplicationMatrix| |imagJ| - |s18def| |realEigenvalues| |traceMatrix| |unitNormal| |setfirst!| - |preprocess| |cAcosh| |solveRetract| |bernoulliB| |qqq| |parts| - |rangePascalTriangle| |eq?| |palgint0| |nsqfree| |iisinh| - |multinomial| |pile| |fractionFreeGauss!| |setMinPoints| |dilog| - |OMgetObject| |countable?| |rotatey| |elliptic| |c06ecf| - |pointColorPalette| |derivative| |setnext!| |c06frf| |plus| - |multisect| |sin| |outputBinaryFile| |permutation| - |createMultiplicationTable| |quasiRegular| |reify| |doubleComplex?| - |spherical| |genericPosition| |cos| |bumptab1| |rootSimp| - |diagonalMatrix| |routines| |cCosh| |complex?| |operator| |every?| - |extendedResultant| |ravel| |graphImage| |tan| |plus!| |baseRDE| - |radicalOfLeftTraceForm| |mainCoefficients| |s17def| |nonQsign| - |d01aqf| |lexGroebner| |reshape| |cot| |polygon?| |bits| - |makeGraphImage| |nor| |solid| |localReal?| |child| |startPolynomial| - |trunc| |times| |sec| |delay| |isQuotient| |mathieu12| |e02zaf| - |copyInto!| |split!| |drawComplex| |singularAtInfinity?| |delete| - |csc| |prevPrime| |doubleResultant| |iiasec| NOT |htrigs| |cAcot| - |prinshINFO| |extractClosed| |iitan| |rst| |lhs| |cAcoth| |asin| - |diag| |denomRicDE| OR |rootProduct| |OMputEndBind| |hasoln| |setelt| - |f02ajf| |readLine!| |var1Steps| |sumOfKthPowerDivisors| |rhs| |acos| - |removeSuperfluousCases| |parabolic| |leftGcd| AND |continue| - |certainlySubVariety?| |unitNormalize| |quasiMonic?| |qfactor| - |invertible?| |monom| |rischNormalize| |atan| |update| |infinityNorm| - |supRittWu?| |removeConstantTerm| |romberg| |copy| |OMputString| - |invertibleElseSplit?| |fortranReal| |pop!| |fglmIfCan| |acot| |pack!| - |rubiksGroup| |Ci| |height| |sin?| |calcRanges| |randnum| - |rightDiscriminant| |invmod| |asec| |selectNonFiniteRoutines| - |ridHack1| |nextsubResultant2| |palginfieldint| |binding| |palgLODE0| - |isOp| |select!| |acotIfCan| |common| |acsc| |lazyPquo| - |exportedOperators| |patternMatch| |oneDimensionalArray| - |leftRankPolynomial| |autoCoerce| |zeroVector| |acoshIfCan| |hermiteH| - |tree| |linearPart| |s19adf| |sinh| |squareTop| |qelt| - |minimalPolynomial| |relerror| |numerators| |multiEuclidean| |An| - |mathieu22| |qsetelt| |socf2socdf| |match?| |cosh| |position| - |modularFactor| |leftFactor| |hasTopPredicate?| |divisor| - |associates?| |taylorIfCan| |failed?| |expr| - |functionIsFracPolynomial?| |e04ycf| |tanh| |OMsetEncoding| - |stoseInvertibleSetsqfreg| |resetVariableOrder| |xRange| |remove!| - |prinpolINFO| |printInfo!| |firstUncouplingMatrix| |prod| |exprex| - |SturmHabichtMultiple| |anfactor| |tail| |expintegrate| |coth| - |symbol?| |yRange| |iiperm| |mainKernel| |pquo| |cosh2sech| |setOrder| - |userOrdered?| |generalPosition| |compdegd| |sech| |selectPDERoutines| - |zRange| |leadingBasisTerm| * |extractSplittingLeaf| |rightNorm| - |bitTruth| |cyclic| |sort!| |outputList| |coerceP| |rightZero| |map!| - |csch| |e02dff| |lllip| |printInfo| GE |lSpaceBasis| |curryLeft| |or?| - |equiv?| |substring?| |variable| |generator| |cycleTail| |qsetelt!| - |asinh| |setMinPoints3D| |coordinates| |digamma| |space| GT |elRow1!| - |ReduceOrder| |delta| |getOperands| |iterators| |schwerpunkt| - |selectOptimizationRoutines| |jacobiIdentity?| |acosh| |iicoth| - |branchIfCan| |reduction| LE |applyRules| |factorSFBRlcUnit| - |inGroundField?| |suffix?| |ramified?| |createPrimitivePoly| |atanh| - |modifyPoint| |lieAlgebra?| |Beta| |leastAffineMultiple| LT - |univariate?| |collectUpper| |lastSubResultant| |factorial| |cAsec| - |iisqrt3| |acoth| |top!| |innerSolve| |andOperands| |doubleRank| - |lifting| |shuffle| |prefix?| |rootOfIrreduciblePoly| |hitherPlane| - |basisOfRightAnnihilator| |delete!| |infinite?| |fill!| - |splitDenominator| |decrease| |leadingCoefficientRicDE| |setleaves!| - |stronglyReduce| |numberOfIrreduciblePoly| |c06gbf| - |commonDenominator| |acsch| |hypergeometric0F1| |laurentRep| - |padicFraction| |RittWuCompare| |sylvesterMatrix| |sorted?| |call| - |definingEquations| |f02aff| |univariatePolynomial| |next| |makeSin| - |iiasinh| |cAsin| |precision| |currentCategoryFrame| |zeroSetSplit| - |fmecg| |rur| |iExquo| |polygon| |monomialIntPoly| |lambda| |isPlus| - |f04mbf| |lazyPseudoRemainder| |trigs2explogs| |aromberg| |objects| - |failed| |genericLeftMinimalPolynomial| |groebner| |divideExponents| - |KrullNumber| |setStatus| |modularGcdPrimitive| |viewport2D| |po| - |midpoint| |base| |doubleDisc| |graeffe| |lowerPolynomial| |sn| - |minPoints| |insertMatch| |cosIfCan| |rename!| UP2UTS - |useEisensteinCriterion| |randomLC| |eulerE| |f04faf| |logGamma| - |rightRank| |tableau| |cartesian| |SturmHabichtCoefficients| |parents| - |rotate!| |arbitrary| |f02abf| |trapezoidalo| |bumprow| |deepExpand| - |unitVector| |setScreenResolution| - |removeRoughlyRedundantFactorsInPol| |completeSmith| - |functionIsOscillatory| |sPol| |s17agf| |close!| |heapSort| - |getStream| |explimitedint| |dmpToHdmp| |palgextint| |associative?| - UTS2UP |iidprod| |removeZeroes| |symmetricProduct| |s19acf| |OMclose| - |monomials| |limitedIntegrate| |jordanAdmissible?| - |stoseSquareFreePart| |OMconnInDevice| |bubbleSort!| |leftZero| - |insert!| |rightTraceMatrix| |integer?| |matrixDimensions| - |LyndonBasis| |rightExtendedGcd| |singular?| |OMputObject| - |modifyPointData| |weierstrass| |primeFactor| |inverseLaplace| |test| - |parent| |complexExpand| |vectorise| |uniform01| |incr| - |wordInGenerators| |contains?| |primintegrate| |OMmakeConn| |pureLex| - |clearCache| |indiceSubResultantEuclidean| |leftDiscriminant| - |irreducibleFactor| |function| |e02agf| |getProperties| - |squareFreePolynomial| |epilogue| |cycles| |truncate| |resize| - |variationOfParameters| |mainValue| |shiftLeft| |hi| - |genericLeftDiscriminant| |prefix| |e02dcf| |deref| - |fortranDoubleComplex| |dmpToP| |id| |iomode| |changeVar| - |resultantReduit| |log| |createNormalPrimitivePoly| |eval| |d02cjf| - |balancedBinaryTree| |option?| FG2F |leaf?| |dim| |previous| |insert| - |shiftRoots| |thetaCoord| |radicalEigenvectors| |setMaxPoints| |node?| - |mathieu24| |selectMultiDimensionalRoutines| |f04qaf| |s17aff| |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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|Frobenius| |basisOfMiddleNucleus| + |conditionsForIdempotents| |dimensions| |convergents| + |commutativeEquality| |minPoints| |lazyResidueClass| |minimumExponent| + |meatAxe| |createMultiplicationMatrix| |exQuo| |rightOne| |expPot| + |nil| |lcm| |lazyIrreducibleFactors| |insertMatch| |output| + |shrinkable| |subNodeOf?| |setTex!| |imagJ| |getExplanations| + |sizeMultiplication| |principal?| |removeRedundantFactors| |cosIfCan| + |clearTheSymbolTable| |iiexp| |uniform| |s18def| |determinant| + |append| |alternatingGroup| |subCase?| |putGraph| |numeric| |rename!| + |birth| |mainVariable?| |primitivePart| |ipow| |realEigenvalues| + |goto| |gcdcofact| |left| |radical| |approximate| |mantissa| |conjug| + |gcd| UP2UTS |readIfCan!| |rotate| |callForm?| |traceMatrix| |right| + |complex| |strongGenerators| |belong?| |OMParseError?| + |useEisensteinCriterion| |false| |center| |setlast!| |shellSort| + |semiResultantEuclideannaif| |unitNormal| |outputArgs| |f02xef| + |exponential| |cyclicEqual?| |randomLC| |prinb| |e02bcf| |chiSquare1| + |OMopenString| |setfirst!| |qinterval| |makeTerm| |normalized?| + |eulerE| |prologue| |close| |capacity| |getProperty| |charthRoot| + |preprocess| |numberOfDivisors| |conjugate| |inc| |f04faf| |revert| + |duplicates?| |rootOf| |cAcosh| |nextPartition| + |selectIntegrationRoutines| |doubleFloatFormat| |remove| |divideIfCan| + |logGamma| |#| |sinhcosh| |display| |setButtonValue| |putColorInfo| BY + |solveRetract| |symmetric?| |eyeDistance| |transform| |mr| + |removeCosSq| |rightRank| |cSec| |coHeight| |viewDeltaYDefault| + |mkIntegral| |bernoulliB| |kmax| |cAcsc| |seed| |last| |tableau| + |linearlyDependent?| |showSummary| |testModulus| |qqq| |iiacsch| |sum| + |assoc| |entries| |normInvertible?| |cartesian| |stack| + |transcendent?| |nthFlag| |monomial?| |rangePascalTriangle| + |dimensionsOf| |e02aef| |length| |permanent| |mainSquareFreePart| + |SturmHabichtCoefficients| |hexDigit| |phiCoord| |subResultantChain| + |eq?| |pointColor| |showAttributes| |c02aff| |scripts| + |partialQuotients| |zerosOf| |rotate!| |input| |OMconnOutDevice| + |skewSFunction| |rk4| |palgint0| |nthExpon| |systemCommand| + |orOperands| |arbitrary| |positiveRemainder| |library| |lp| |assign| + |rightFactorCandidate| |fullPartialFraction| |nsqfree| |number?| + |symbol| |sqfrFactor| |reducedSystem| |f02abf| |factorials| |comp| + |integralMatrix| |e04dgf| |droot| |iisinh| |dioSolve| |expression| + |euclideanSize| |f01qdf| |trapezoidalo| |insertTop!| |minGbasis| + |rightRankPolynomial| |multinomial| |rdregime| |digits| |normal| + |integer| |curveColor| |rightUnit| |bumprow| |computeBasis| + |halfExtendedResultant1| |row| |simplifyLog| |lieAdmissible?| + |updateStatus!| |deepExpand| |exponent| |set| |setErrorBound| |maxdeg| + |OMReadError?| |showArrayValues| |symmetricSquare| |viewDeltaXDefault| + |semiResultantEuclidean1| |list| |unitVector| |label| + |numberOfFactors| |bracket| |setTopPredicate| |minimumDegree| |trim| + |shanksDiscLogAlgorithm| |slash| |addMatch| |car| + |setScreenResolution| |commutator| |outputGeneral| + |generalInfiniteProduct| |makeSeries| |removeCoshSq| |initials| + |bivariateSLPEBR| |endOfFile?| |cdr| |algDsolve| |d02raf| |initTable!| + |e02adf| |numberOfChildren| |setDifference| |adaptive3D?| |pushucoef| + |odd?| |lSpaceBasis| |factorsOfCyclicGroupSize| |swap!| + |toseSquareFreePart| |totalfract| |e02bef| |setIntersection| + |minRowIndex| |interpolate| |zeroSetSplitIntoTriangularSystems| + |cosSinInfo| |curryLeft| |powers| |f07fef| |red| |unaryFunction| + |PDESolve| |extract!| |tracePowMod| |genericRightNorm| |setUnion| + |inR?| |or?| |areEquivalent?| |argscript| |OMgetBVar| |subscript| + |stFuncN| |rotatex| |f01rdf| |complexNormalize| |apply| |pr2dmp| + |equiv?| |critMTonD1| |selectAndPolynomials| |null?| + |nextPrimitivePoly| |ptFunc| |outputFixed| |palglimint0| + |squareFreeFactors| |internal?| |dec| |cycleTail| |increment| + |appendPoint| |axesColorDefault| |univcase| |bsolve| |constructor| + |numberOfOperations| |cSech| |size| |mapSolve| |setMinPoints3D| + |generalizedContinuumHypothesisAssumed| |sturmSequence| + |primitiveElement| |hash| |deepCopy| |tanAn| |rowEch| + |radicalEigenvector| |clearTable!| |coordinates| |option| + |tableForDiscreteLogarithm| |count| |show| |choosemon| |meshFun2Var| + |removeRedundantFactorsInContents| |currentScope| |addPoint| |build| + |bandedHessian| |digamma| = |setClosed| |coefChoose| |monic?| + |toseInvertibleSet| |unrankImproperPartitions1| |first| + |viewThetaDefault| |deepestInitial| |points| |leader| |space| |trace| + |cyclicParents| |rightRecip| |OMgetEndAtp| |bfEntry| |isOpen?| + |setImagSteps| |raisePolynomial| |d02bhf| |rest| |elRow1!| < + |numberOfPrimitivePoly| |consnewpol| |norm| |torsion?| |ceiling| + |datalist| |drawToScale| |substitute| |complexNumericIfCan| + |OMgetEndAttr| |ReduceOrder| > |midpoints| |firstNumer| |cyclicCopy| + |setStatus!| |compound?| |removeDuplicates| |plot| + |irreducibleRepresentation| |setrest!| |getOperands| <= |contract| + |mainDefiningPolynomial| |setEpilogue!| |fortran| |insertRoot!| + |stiffnessAndStabilityFactor| |chiSquare| |rightTrim| |fibonacci| + |shufflein| |schwerpunkt| >= |clip| |ratDsolve| + |algebraicCoefficients?| |magnitude| |listYoungTableaus| |bumptab| + |OMwrite| |leftTrim| |att2Result| |setOfMinN| + |selectOptimizationRoutines| |clipParametric| |setProperties!| + |prepareDecompose| |setLegalFortranSourceExtensions| |mainVariable| + |totalLex| |finiteBasis| |palgRDE0| |jacobiIdentity?| |extractBottom!| + |exponentialOrder| |e01bgf| |antisymmetric?| |identification| |sort| + |reset| |augment| |someBasis| |bounds| |iicoth| + |zeroDim?| + |cardinality| |maxIndex| |bottom!| |lquo| |sub| |sturmVariationsOf| + |cyclicEntries| |branchIfCan| - |basis| |host| |permutations| + |systemSizeIF| |idealiser| |write| |singRicDE| |localUnquote| + |leadingSupport| |reduction| / |e01bef| |readByteIfCan!| + |removeDuplicates!| |iiasin| |particularSolution| + |showFortranOutputStack| |save| |cotIfCan| |indiceSubResultant| + |roughSubIdeal?| |applyRules| |zero| |inspect| |deleteRoutine!| + |tanintegrate| |high| |realEigenvectors| |random| |e04jaf| + |checkPrecision| |stoseInternalLastSubResultant| |max| |monomRDE| + |insertionSort!| |factorSFBRlcUnit| |pattern| |radicalRoots| |cAtan| + |pushNewContour| |iibinom| |colorDef| |primitivePart!| |linGenPos| + |f04axf| |inGroundField?| |And| |returnTypeOf| |OMgetString| + |dimension| |leftScalarTimes!| |infix| |prepareSubResAlgo| |recip| + |sincos| |ramified?| |Or| |enqueue!| |write!| |SturmHabicht| |ffactor| + |xCoord| |edf2ef| |basisOfRightNucleus| |recolor| + |createPrimitivePoly| |Not| |iiatan| |s14aaf| |buildSyntax| |cSin| + |degree| |addmod| |repeatUntilLoop| |leftMult| |modifyPoint| |message| + |elColumn2!| |zag| |laguerreL| |deriv| |retract| |squareFree| |f04maf| + |makeSketch| |characteristicSet| |lieAlgebra?| |toScale| |/\\| |ran| + |ODESolve| |complexEigenvectors| |discriminantEuclidean| + |basisOfCenter| |coordinate| |flatten| |rquo| |Beta| |pmintegrate| + |\\/| |collect| |pointData| |mainVariables| |prem| + |subresultantSequence| |decimal| |aLinear| |leastAffineMultiple| + |removeIrreducibleRedundantFactors| |distance| |generic| + |lflimitedint| |f2st| |swapColumns!| |binaryTree| |mightHaveRoots| + LODO2FUN |univariate?| |hMonic| |nonSingularModel| |complexIntegrate| + |constantIfCan| |linearAssociatedLog| |f04asf| |shade| |gradient| + |repeating| |collectUpper| |dmp2rfi| |subMatrix| |e02ahf| + |getMultiplicationTable| |low| |cons| |useNagFunctions| |log2| + |normalDenom| |lastSubResultant| |possiblyInfinite?| |iifact| + |LiePolyIfCan| |float?| |argumentListOf| |triangularSystems| |llprop| + |mapdiv| |factorial| |root?| |pToHdmp| |mainCharacterization| |one?| + |hasHi| |retractIfCan| |makeFR| |Lazard2| |inverse| |cAsec| |zeroOf| + |lepol| |opeval| |df2fi| |gbasis| |invertibleSet| |cap| + |leftFactorIfCan| |iisqrt3| |check| |d01anf| + |permutationRepresentation| |totalDifferential| |setPoly| |lprop| + |iicosh| |expint| |top!| |changeMeasure| |ldf2vmf| |parametersOf| + |addPoint2| |graphStates| |euclideanGroebner| |harmonic| |OMputEndAtp| + |outerProduct| |innerSolve| |e04mbf| |ScanFloatIgnoreSpaces| + |primPartElseUnitCanonical| |innerint| |solveLinear| + |fortranCarriageReturn| |normalizeAtInfinity| |LyndonWordsList1| + |andOperands| |henselFact| |monomRDEsys| |concat!| |continuedFraction| + |linear?| |empty?| |solveid| |lexico| |doubleRank| |simpleBounds?| + |writeBytes!| |sec2cos| |vark| |generateIrredPoly| + |internalZeroSetSplit| |bitLength| |trapezoidal| |lifting| |f07adf| + |exptMod| |reduced?| |interReduce| |rischDE| |rightRemainder| + |palgRDE| |floor| |shuffle| |optional?| |showClipRegion| + |lfinfieldint| |s21baf| |node| |obj| |complexForm| |outputMeasure| + |lazyPremWithDefault| |rootOfIrreduciblePoly| |iFTable| + |setAdaptive3D| |nonLinearPart| |c06gsf| |map| |alphabetic?| + |compiledFunction| |coerceS| |cache| |hitherPlane| |quadraticForm| + |subset?| |f2df| |setEmpty!| |rationalPoints| |complexEigenvalues| + |setMaxPoints3D| |basisOfRightAnnihilator| |power| |karatsubaDivide| + |notelem| |internalSubQuasiComponent?| |block| |bandedJacobian| + |delete!| |adjoint| |pointColorDefault| |e01saf| |unexpand| |e01sef| + |genericRightTrace| |supersub| |infinite?| |iisec| |trivialIdeal?| + |sayLength| |countRealRoots| |rspace| |bit?| |fixedDivisor| |fill!| + |d01ajf| |finite?| |createPrimitiveNormalPoly| |symmetricRemainder| + |OMgetAttr| |convert| |comparison| |dequeue!| |splitDenominator| |key| + |mvar| |initiallyReduce| |computeCycleLength| |s13acf| |s21bbf| + |decrease| |shallowExpand| |makeop| |polyRicDE| + |rewriteIdealWithQuasiMonicGenerators| |primlimintfrac| |stop| + |laplace| |coefficient| |leadingCoefficientRicDE| |filename| + |connectTo| |acosIfCan| |bipolarCylindrical| |errorInfo| |s18adf| + |sup| |isTimes| |setleaves!| |char| |not?| |prefixRagits| + |complexElementary| |asinIfCan| |connect| |createGenericMatrix| + |stronglyReduce| |parse| |weakBiRank| |totolex| |algSplitSimple| + |clearTheIFTable| |null| |factorSquareFreeByRecursion| |FormatRoman| + |definingPolynomial| |numberOfIrreduciblePoly| |unit?| |whitePoint| + |PollardSmallFactor| |leaves| |integers| |headRemainder| |not| + |gcdprim| |palgint| |c06gbf| |basisOfCentroid| |pushdown| + |monicRightDivide| |cycleSplit!| |expIfCan| |and| + |removeSuperfluousQuasiComponents| |lowerCase| |children| + |commonDenominator| |OMputVariable| |bivariate?| |distribute| + |equation| |createNormalElement| |or| |explogs2trigs| |selectfirst| + |hypergeometric0F1| |float| |createPrimitiveElement| |algebraicSort| + |genericRightMinimalPolynomial| |findCycle| |xor| |makingStats?| + |bindings| |factorSquareFreePolynomial| |laurentRep| + |stiffnessAndStabilityOfODEIF| |karatsuba| |pomopo!| |lexTriangular| + |lazyPseudoQuotient| |makeMulti| |case| |var2Steps| + |unprotectedRemoveRedundantFactors| |padicFraction| |charpol| + |directSum| |setFieldInfo| |outputAsScript| |trailingCoefficient| + |Zero| |edf2efi| |characteristicSerie| |OMbindTCP| |moduloP| + |tubePoints| |bat1| |oneDimensionalArray| |mapDown!| |One| |coord| + |listLoops| |numer| |subSet| |rootsOf| |cExp| |split| |module| + |prindINFO| |leftRankPolynomial| |viewport3D| |ip4Address| |stFunc2| + |checkRur| |denom| |brillhartIrreducible?| |leftUnits| + |cyclicSubmodule| |hyperelliptic| |diff| |coercePreimagesImages| + |psolve| |resultant| |zeroVector| |scalarMatrix| |changeNameToObjf| + |swapRows!| |adaptive| |nullary| |mergeFactors| |primes| + |matrixConcat3D| |expandTrigProducts| |acoshIfCan| |pi| |index| + |btwFact| |divisors| |makeUnit| + |solveLinearPolynomialEquationByRecursion| |weights| |declare| + |internalAugment| |varselect| |infinity| |hermiteH| |integral| + |c06ekf| |randomR| |inverseIntegralMatrixAtInfinity| + |nextNormalPrimitivePoly| |linearPart| |weighted| |elt| |numFunEvals| + |atanhIfCan| |internalIntegrate| |union| + |leftCharacteristicPolynomial| |processTemplate| + |subscriptedVariables| |fortranLiteralLine| |limitPlus| |separant| + |terms| |iiacsc| |s19adf| |pair| |size?| |getSyntaxFormsFromFile| + |d01bbf| |f02wef| |iiacosh| |subst| |edf2fi| |factorsOfDegree| |lfunc| + |kernel| |squareTop| |leastPower| |nthRootIfCan| |groebner?| |imagk| + |mapUp!| |draw| |operation| |saturate| |getPickedPoints| |ldf2lst| + |minimalPolynomial| |movedPoints| |lyndon| |irreducibleFactors| |dn| + |internalDecompose| |ellipticCylindrical| |sumOfDivisors| + |solveLinearPolynomialEquationByFractions| |relerror| |lookup| + |bitCoef| |differentialVariables| |li| |asechIfCan| |mdeg| |member?| + |leftDivide| |value| |physicalLength| |OMreadFile| |numerators| + |fractRagits| |evaluate| |orbit| |box| |lyndonIfCan| |color| + |resultantEuclideannaif| |discreteLog| |minPoints3D| |multiEuclidean| + |stopTableGcd!| |equiv| |triangular?| |chebyshevT| |contours| + |numberOfHues| |infRittWu?| |pascalTriangle| |algebraic?| |makeObject| + |An| |nand| |limit| |ef2edf| |merge| |nil?| + |lastSubResultantEuclidean| |quotedOperators| |mathieu22| |dot| + |stirling1| |duplicates| |zCoord| |startTable!| |currentEnv| + |socf2socdf| |unparse| |mapUnivariateIfCan| |squareFreeLexTriangular| + |linears| |coef| |OMserve| |nthRoot| |vedf2vef| |s14baf| + |clearTheFTable| |OMputError| |order| |modularFactor| |enterPointData| + |radicalEigenvalues| |gramschmidt| |e01baf| |torsionIfCan| + |rationalPoint?| |backOldPos| |quoByVar| |s17akf| |leftFactor| + |bipolar| |LowTriBddDenomInv| |semiSubResultantGcdEuclidean1| + |karatsubaOnce| |mkAnswer| |binomThmExpt| |outputFloating| + |separateFactors| |hasTopPredicate?| |powerSum| |surface| |Aleph| + |splitNodeOf!| |normalizedAssociate| |OMgetEndObject| |implies?| + |divisor| |coerceListOfPairs| |d01asf| |hclf| |updatF| + |rationalFunction| |OMsend| |tValues| |internalLastSubResultant| + |associates?| |cAtanh| |escape| |OMputApp| |quartic| |UnVectorise| + |loadNativeModule| |divideIfCan!| |objectOf| |nrows| + |degreeSubResultant| |decomposeFunc| |OMopenFile| |taylorIfCan| + |wordsForStrongGenerators| |prolateSpheroidal| |atom?| |leadingIndex| + |numericalOptimization| |computeCycleEntry| |e02baf| |ncols| + |cyclePartition| |shallowCopy| |failed?| |setvalue!| |binomial| + |OMencodingBinary| |diagonal| |getBadValues| |poisson| + |intermediateResultsIF| |normalDeriv| |s17aef| + |functionIsFracPolynomial?| |lineColorDefault| |rootRadius| |cycleElt| + |leftOne| |Hausdorff| |reverse!| |factorByRecursion| |conditionP| + |rightCharacteristicPolynomial| |e04ycf| |distdfact| |closedCurve| + |square?| |makeViewport3D| |tower| |writeByteIfCan!| |wholeRagits| + |nativeModuleExtension| |OMsetEncoding| |selectsecond| |makeEq| + |e01daf| |rank| |iicsc| |beauzamyBound| |condition| |point| |quote| + |univariatePolynomialsGcds| |transcendenceDegree| |roughBasicSet| + |stoseInvertibleSetsqfreg| |enumerate| |smith| |lfextlimint| + |asimpson| |quadratic?| |critpOrder| |level| |subPolSet?| |Gamma| + |resetVariableOrder| |probablyZeroDim?| |positiveSolve| + |simplifyPower| |viewWriteAvailable| |iisech| |scopes| |makeCos| + |generators| |eq| |remove!| |associatedSystem| |mesh| + |genericLeftTraceForm| |rightDivide| |divisorCascade| + |highCommonTerms| |inHallBasis?| |search| |partition| |series| + |tanIfCan| |prinpolINFO| |iter| |reduceBasisAtInfinity| + |leftRegularRepresentation| |element?| |monicLeftDivide| + |leadingMonomial| |complexNumeric| |arity| |perspective| + |viewDefaults| |members| |roughBase?| |binaryFunction| |printInfo!| + |halfExtendedResultant2| |rightLcm| |root| |postfix| + |leadingCoefficient| |rules| |exteriorDifferential| |hcrf| + |optAttributes| |sts2stst| |symmetricTensors| |relativeApprox| + |unknown| |firstUncouplingMatrix| |branchPoint?| |trueEqual| |push!| + |badNum| |primitiveMonomials| |kernels| |extendedEuclidean| + |printCode| |complexRoots| |pushuconst| |prod| |homogeneous?| |inf| + |lists| |subResultantGcdEuclidean| |dihedralGroup| |reductum| + |univariate| |constantKernel| |eigenMatrix| |min| |mapmult| |exprex| + |merge!| |schema| |completeHermite| |OMUnknownSymbol?| |addiag| + |fractionPart| |pdf2df| |plotPolar| |head| |SturmHabichtMultiple| + |comment| |curveColorPalette| |frobenius| |zeroDimensional?| + |stoseInvertible?| |modulus| |maxint| |exactQuotient| |iisqrt2| + |anfactor| |binary| |pushdterm| |rightGcd| |localIntegralBasis| + |factor| |expintegrate| |cLog| |quoted?| |true| |isList| |maxrow| + |exp| |kovacic| |scanOneDimSubspaces| |iidsum| |regularRepresentation| + |sqrt| |primitive?| |safeCeiling| |extendedIntegrate| |alphanumeric| + |symbol?| ~= |maximumExponent| |maxPoints3D| |zeroMatrix| |untab| + |real| |legendreP| |degreeSubResultantEuclidean| |cos2sec| |iiperm| + |screenResolution3D| |coerce| |printStats!| |stronglyReduced?| + |d03eef| |f02aaf| |imag| |elliptic?| |multiset| |resultantEuclidean| + |mainKernel| |OMencodingXML| |digit| |iflist2Result| |clipWithRanges| + |s21bdf| |directProduct| |compile| |edf2df| + |unrankImproperPartitions0| |sample| |pquo| |signatureAst| |mat| + |critBonD| |pol| |indicialEquations| |normalElement| |extractTop!| + |iiacot| |csubst| |cosh2sech| |perfectSqrt| |constDsolve| + |flexibleArray| |listOfMonoms| |brace| |forLoop| |padicallyExpand| + |read!| |difference| |setOrder| |second| |list?| |oddInfiniteProduct| + |imports| |rCoord| |destruct| |stopMusserTrials| |critB| |e02bdf| + |userOrdered?| |third| |unitCanonical| |selectFiniteRoutines| + |inputOutputBinaryFile| |addBadValue| |allRootsOf| + |internalIntegrate0| |numerator| |generalPosition| |asecIfCan| + |cschIfCan| |getMeasure| |twist| |extend| |primintfldpoly| |sign| + |lagrange| |reducedContinuedFraction| |compdegd| |normFactors| + |LazardQuotient| |gethi| |algebraicVariables| |s20acf| + |constantOperator| |quadratic| |jordanAlgebra?| |selectPDERoutines| + |stoseInvertible?reg| |nilFactor| |blue| |monomial| |integralBasis| + |resetAttributeButtons| |solid?| |leadingBasisTerm| |e04gcf| + |cycleLength| |approxSqrt| |medialSet| |index?| |OMputInteger| + |multivariate| |maxPoints| |pdf2ef| |f01mcf| |iterationVar| + |extractSplittingLeaf| |listexp| |listRepresentation| |child?| + |gcdcofactprim| |algintegrate| |variables| |basisOfLeftAnnihilator| + |doublyTransitive?| |flexible?| |rightNorm| |cyclotomic| + |nextPrimitiveNormalPoly| |charClass| |characteristic| |laplacian| + |imagE| |xn| |measure2Result| |bitTruth| GF2FG |c06eaf| |composite| + |SFunction| |headReduce| |yellow| |denominators| |decreasePrecision| + |cyclic| |generalizedEigenvector| |predicate| |idealiserMatrix| + |genericRightDiscriminant| |isExpt| |mapExpon| |presuper| |create| + |writable?| |sinh2csch| |sort!| |generalizedInverse| + |unitsColorDefault| |elem?| |antiCommutator| |pToDmp| |showAll?| + |initial| |writeLine!| |rootPower| |quasiMonicPolynomials| |coerceP| + |trace2PowMod| |f01rcf| F2FG |normal01| |taylor| |leftExtendedGcd| + |alternative?| |eisensteinIrreducible?| |cup| |rightZero| + |BasicMethod| |drawComplexVectorField| |expextendedint| |iiabs| + |isPower| |nullary?| |extendedSubResultantGcd| |laurent| + |useEisensteinCriterion?| |iCompose| |atoms| |completeHensel| + |multMonom| |e02dff| |numberOfImproperPartitions| |normalForm| + |restorePrecision| |positive?| |problemPoints| |solveInField| + |puiseux| |newTypeLists| |rightRegularRepresentation| |critMonD1| + |s17dhf| |lllip| |getButtonValue| |complement| |s18dcf| + |primextintfrac| |sinhIfCan| |part?| |evaluateInverse| |acschIfCan| + |topFortranOutputStack| |changeName| |clikeUniv| |integralRepresents| + |c06gcf| |inv| |minPoly| |matrixGcd| |recoverAfterFail| + |doubleResultant| |quadraticNorm| |hasSolution?| |symmetricPower| + RF2UTS |pow| |tubePointsDefault| |ground?| |alternating| |lifting1| + |hdmpToP| |iiasec| |just| |parameters| |hexDigit?| |viewZoomDefault| + |digit?| |copies| |intcompBasis| |OMputEndAttr| |ground| + |stoseInvertible?sqfreg| |euler| |showRegion| |partialFraction| + |htrigs| |exprHasWeightCosWXorSinWX| |s18acf| |internalSubPolSet?| + |setchildren!| |acothIfCan| |leastMonomial| + |functionIsContinuousAtEndPoints| |s17dgf| + |primPartElseUnitCanonical!| |cAcot| |f02adf| |identity| |rarrow| + |df2mf| |nullity| |commaSeparate| |compose| |variationOfParameters| + |arg1| |trigs| |basisOfCommutingElements| |sequences| |prinshINFO| + |mpsode| |setScreenResolution3D| |primlimitedint| |hdmpToDmp| + |binarySearchTree| |minColIndex| |mainValue| |arg2| |s17dlf| |OMread| + |expandLog| |atanIfCan| |extractClosed| |polar| |rootSplit| |content| + |OMputAtp| |pair?| |shiftLeft| |sqfree| |patternMatchTimes| + |collectUnder| |iitan| |figureUnits| |optimize| |airyAi| |point?| + |solveLinearlyOverQ| |semiDiscriminantEuclidean| |incrementKthElement| + |genericLeftDiscriminant| |triangSolve| |conditions| |wronskianMatrix| + |changeBase| |polarCoordinates| |rst| |removeSquaresIfCan| + |moreAlgebraic?| |iicos| |laguerre| |getIdentifier| |gderiv| |e02dcf| + |getlo| |cAcoth| |match| |cRationalPower| |variable?| + |SturmHabichtSequence| |extractIndex| |factorset| |expintfldpoly| + |relationsIdeal| |usingTable?| |bombieriNorm| + |numberOfFractionalTerms| |deref| |genus| |log10| |oddlambert| + |numberOfCycles| |generalLambert| |diag| |unmakeSUP| |minimize| + |submod| |bytes| |e04ucf| |tubeRadiusDefault| |fortranDoubleComplex| + |bitand| |integralAtInfinity?| |regime| + |semiLastSubResultantEuclidean| |rootBound| |denomRicDE| |d01fcf| |Is| + |term| |compBound| |implies| |dmpToP| |rootProduct| |equality| + |redmat| |bitior| |rational| |aQuartic| |linear| |formula| + |OMputFloat| |denomLODE| |negative?| |explicitEntries?| |subTriSet?| + |iomode| |debug| |ricDsolve| |splitLinear| |optpair| |OMputEndBind| + |transpose| |viewSizeDefault| |imaginary| |critT| |linearMatrix| + |d01amf| |changeVar| |result| D |arrayStack| |B1solve| |reopen!| + |intPatternMatch| |hasoln| |polynomial| |linSolve| |OMputEndObject| + |graphs| |e02ddf| |yCoord| |resultantReduit| |properties| |tubeRadius| + |partialDenominators| |OMgetApp| |f02ajf| |univariateSolve| |neglist| + |asech| |exprHasLogarithmicWeights| |OMgetSymbol| |const| + |var2StepsDefault| |createNormalPrimitivePoly| |translate| + |tensorProduct| |exponential1| |rectangularMatrix| |perfectNthPower?| + |readLine!| |isMult| |cCsc| |OMgetError| |setAdaptive| |cyclic?| + |d02cjf| |minus!| |f02bbf| |middle| |var1Steps| |withPredicates| + |rowEchLocal| |multiple| |halfExtendedSubResultantGcd2| + |quasiComponent| |getDatabase| |showTheSymbolTable| + |balancedBinaryTree| |remainder| |f02agf| |bat| + |sumOfKthPowerDivisors| |ScanRoman| |applyQuote| |OMgetFloat| + |packageCall| |redpps| |bfKeys| |factorOfDegree| |option?| |leftPower| + |overlap| |pdct| |paren| |removeSuperfluousCases| |showAllElements| + |rootNormalize| |semiDegreeSubResultantEuclidean| |f04mcf| |s15adf| + FG2F |copy!| |selectODEIVPRoutines| |real?| |parabolic| + |quasiAlgebraicSet| |cycleEntry| |nary?| |myDegree| |rightQuotient| + |makeResult| |leaf?| |startTableInvSet!| |finiteBound| |stFunc1| + |cCos| |leftGcd| |lift| |mapExponents| |ruleset| |style| |eulerPhi| + |removeRoughlyRedundantFactorsInPols| |reseed| |shiftRoots| |elRow2!| + |leftUnit| |f07fdf| |certainlySubVariety?| |coth2trigh| |reduce| |top| + |multiplyCoefficients| |infieldint| |cAcsch| |limitedint| |resetNew| + |thetaCoord| |print| |replaceKthElement| |rightTrace| |f02fjf| + |unitNormalize| |lazyGintegrate| |cCsch| |bothWays| |s17adf| + |integerBound| |lazyPrem| |radicalEigenvectors| |resolve| |s21bcf| + |has?| |headAst| |quasiMonic?| |cross| |Nul| |c06ebf| |suchThat| + |mergeDifference| |infix?| |mkcomm| |HermiteIntegrate| |factor1| + |setMaxPoints| |interpret| |firstDenom| |integral?| |primextendedint| + |qfactor| |cAsech| |powmod| |symFunc| |mask| |diagonal?| + |singleFactorBound| |stosePrepareSubResAlgo| |fortranLogical| |node?| + |tab| |whileLoop| |lex| |e02ajf| |invertible?| |safetyMargin| |iipow| + |maxrank| |unary?| |symmetricDifference| |mathieu24| |aQuadratic| + |logical?| |basicSet| |rischNormalize| |reducedQPowers| + |squareFreePrim| |chineseRemainder| |lowerCase!| |pastel| + |makeYoungTableau| |selectMultiDimensionalRoutines| |directory| + |sylvesterSequence| |generate| |subtractIfCan| |fullDisplay| + |infinityNorm| |besselI| |upperCase| |c02agf| |atrapezoidal| + |totalDegree| |curve?| |f04qaf| |pointLists| |cCoth| |listBranches| + |supRittWu?| |pointSizeDefault| |operators| |seriesToOutputForm| + |nextIrreduciblePoly| |contractSolve| |extension| |recur| |s17aff| + |incrementBy| |d02bbf| |colorFunction| |minPol| |newLine| + |removeConstantTerm| |basisOfLeftNucleus| |var1StepsDefault| + |bernoulli| |countRealRootsMultiple| |semicolonSeparate| |cot2trig| + |OMgetEndBind| |expand| |f02akf| |padecf| |romberg| |sechIfCan| + |fortranComplex| |showScalarValues| |logIfCan| |quatern| |intChoose| + |scan| |OMputString| |filterWhile| |subResultantGcd| |coerceImages| + |unvectorise| |OMreadStr| |name| |lowerCase?| |imagj| |ignore?| + |perfectNthRoot| |cCot| |c06fpf| |jacobian| |filterUntil| + |controlPanel| |expt| |nodes| |invertibleElseSplit?| |body| |central?| + |identitySquareMatrix| |rational?| |normalizedDivide| + |subresultantVector| |debug3D| Y |OMlistCDs| |select| |f01qef| + |s20adf| |fortranReal| |in?| |exquo| |binaryTournament| |hessian| + |genericLeftNorm| |nextLatticePermutation| |f02awf| |csc2sin| + |categories| |commutative?| |ode1| |lazy?| |rroot| |t| |pop!| |div| + |nthCoef| |roughUnitIdeal?| |repSq| |fintegrate| |leadingIdeal| + |numericIfCan| |rightPower| |s19aaf| F |purelyAlgebraic?| + |createIrreduciblePoly| |fglmIfCan| |fprindINFO| |quo| |hex| |shift| + |heap| |zeroDimPrime?| |e04naf| |boundOfCauchy| |setleft!| |cscIfCan| + |inverseColeman| |pack!| |pade| |s17dcf| |rk4qc| |possiblyNewVariety?| + |tan2cot| |powern| |integrate| |gcdPrimitive| |checkForZero| + |rationalPower| |overlabel| |rubiksGroup| |rem| |sumOfSquares| + |endSubProgram| |d01akf| |ode2| |constantToUnaryFunction| + |readLineIfCan!| |rk4f| |swap| |ScanFloatIgnoreSpacesIfCan| |Ci| + |printHeader| |wreath| |iiasech| |rombergo| |setLabelValue| |reorder| + |property| |goodPoint| |makeRecord| |standardBasisOfCyclicSubmodule| + |stripCommentsAndBlanks| |sin?| |conjugates| |approximants| |iiacos| + |wordInStrongGenerators| |euclideanNormalForm| |outlineRender| + |makeprod| |s14abf| |components| |alphabetic| |calcRanges| |polyPart| + |redPo| |outputAsTex| |f01maf| |wholePart| |status| |nthFactor| + |rootKerSimp| |singularitiesOf| |randnum| |drawStyle| |leftRank| + |fortranTypeOf| |zoom| |imagi| |direction| |units| |setProperties| + |depth| |pole?| |rightDiscriminant| |component| |reindex| + |rightAlternative?| |symmetricGroup| |ocf2ocdf| |palglimint| + |rootDirectory| |qPot| ** |invmultisect| |invmod| |superscript| + |integralDerivationMatrix| |rk4a| |over| |polygamma| |OMputAttr| + |move| |closed?| |minset| |nlde| |identityMatrix| + |selectNonFiniteRoutines| |specialTrigs| |exists?| |equivOperands| + |argumentList!| |isAbsolutelyIrreducible?| |OMgetEndBVar| + |OMputEndBVar| |find| |getVariableOrder| |readable?| |ridHack1| + |external?| |genericLeftTrace| EQ |shiftRight| |OMgetVariable| + |monomialIntegrate| |OMgetType| |slex| |leftAlternative?| + |nextsubResultant2| |invertIfCan| |normalise| |paraboloidal| + |eigenvectors| |mirror| |code| |fixPredicate| |setClipValue| + |position!| |palginfieldint| |splitConstant| |impliesOperands| + |wrregime| |setPredicates| |printTypes| |chainSubResultants| |binding| + |LyndonWordsList| |separate| |separateDegrees| |whatInfinity| + |eigenvector| |blankSeparate| |createNormalPoly| |showTheFTable| + |subNode?| |cTanh| |dflist| |palgLODE0| |linearDependenceOverZ| + |absolutelyIrreducible?| |factors| |f07aef| |hue| |crushedSet| + |polCase| |iiatanh| |resetBadValues| |exprHasAlgebraicWeight| + |signature| |isOp| |resultantReduitEuclidean| |setAttributeButtonStep| + |argument| |fractRadix| |dom| |GospersMethod| |idealSimplify| + |dominantTerm| |deleteProperty!| |select!| |bezoutDiscriminant| + |associator| |green| |open?| |groebgen| |sortConstraints| + |changeThreshhold| |category| |initializeGroupForWordProblem| + |acotIfCan| |leftNorm| |scalarTypeOf| |s19abf| |clipBoolean| |iisin| + |domain| |curry| |lazyPquo| |infiniteProduct| |inRadical?| |orbits| + |iprint| |solveLinearPolynomialEquation| |getZechTable| |mkPrim| + |exportedOperators| |package| |kind| |stoseInvertibleSetreg| |cn| + |byteBuffer| |dualSignature| |d02kef| |ord| |predicates| |signAround| + |light| |sequence| |options| |op| |patternMatch| |clearDenominator| + |setProperty| |satisfy?| |useSingleFactorBound| |OMputBVar| + |pseudoRemainder| |title| |solve| |symbolTable| |scale| |bezoutMatrix| + |ideal| |s17ahf| |fTable| |toroidal| |entry?| |basisOfRightNucloid| + |pile| |branchPointAtInfinity?| |exprToGenUPS| |useSingleFactorBound?| + |cAsinh| |createLowComplexityNormalBasis| |typeLists| |exactQuotient!| + |startStats!| |cyclotomicFactorization| |fractionFreeGauss!| |string| + |numFunEvals3D| |showIntensityFunctions| |getOrder| |sparsityIF| + |multiEuclideanTree| |e| |totalGroebner| |logpart| |ratpart| |redPol| + |setMinPoints| |reducedDiscriminant| |uncouplingMatrices| + |semiResultantEuclidean2| |typeList| |lastSubResultantElseSplit| + |normalize| |mainForm| |HenselLift| |OMgetObject| |f04jgf| |localAbs| + |goodnessOfFit| |removeRoughlyRedundantFactorsInPol| |queue| + |setsubMatrix!| |flagFactor| |diagonals| |countable?| + |subResultantsChain| |nextColeman| |aspFilename| |orthonormalBasis| + |completeSmith| |algebraicDecompose| |getGoodPrime| |divide| + |mainExpression| |rotatey| |stoseLastSubResultant| |cond| + |getMultiplicationMatrix| |currentSubProgram| |region| + |functionIsOscillatory| |dfRange| |intersect| |setCondition!| + |extensionDegree| |elliptic| |oddintegers| |perfectSquare?| + |groebnerIdeal| |prime?| |sPol| |f01qcf| |nothing| |factorFraction| + |genericRightTraceForm| |lintgcd| |c06ecf| |linearlyDependentOverZ?| + |extractProperty| |round| |enterInCache| |integerIfCan| |s17agf| |say| + |pushFortranOutputStack| |cTan| |linearDependence| |create3Space| + |pointColorPalette| |fortranLiteral| |rule| |newSubProgram| + |stirling2| |OMputSymbol| |close!| |integralLastSubResultant| + |listConjugateBases| |entry| |nextNormalPoly| |completeEchelonBasis| + |derivative| |evenInfiniteProduct| |iicot| |balancedFactorisation| + |plenaryPower| |heapSort| |imagI| |sizeLess?| |sumSquares| + |fixedPointExquo| |setnext!| |pseudoQuotient| |ParCondList| + |complexZeros| |lazyPseudoDivide| |getStream| |less?| |Ei| + |nextSublist| |rangeIsFinite| |c06frf| |width| |startTableGcd!| + |sdf2lst| |d01apf| |explimitedint| |reverse| |outputSpacing| + |setPosition| |mapCoef| |OMgetEndApp| |multisect| |zeroDimPrimary?| + |increasePrecision| |reduceLODE| |dmpToHdmp| |lo| + |popFortranOutputStack| |safeFloor| |credPol| |baseRDEsys| + |lfintegrate| |outputBinaryFile| |tab1| |associatedEquations| |hspace| + |palgextint| |integralCoordinates| |pleskenSplit| |stopTable!| + |permutation| |e01sbf| |evenlambert| |extractIfCan| |extendIfCan| + |associative?| |void| |setRealSteps| |antiAssociative?| + |nextSubsetGray| |outputAsFortran| |createMultiplicationTable| + |f04atf| |dictionary| |factorAndSplit| |fortranLinkerArgs| UTS2UP + |removeRoughlyRedundantFactorsInContents| |primaryDecomp| |cothIfCan| + |expressIdealMember| |quasiRegular| |lyndon?| |s18aff| + |showTheRoutinesTable| |iidprod| |reify| |secIfCan| |insertBottom!| + |chebyshevU| |plusInfinity| |addPointLast| |latex| |OMputBind| + |viewPhiDefault| |noLinearFactor?| |removeZeroes| |summation| + |twoFactor| |rightExactQuotient| |qualifier| |doubleComplex?| + |minusInfinity| |expenseOfEvaluationIF| |exponents| |optional| + |e01sff| |polyred| |symmetricProduct| |double| |pointPlot| |isobaric?| + |lighting| |spherical| |companionBlocks| |init| |dihedral| + |fortranCharacter| |generic?| |s19acf| |nthFractionalTerm| + |OMputEndApp| |scripted?| |exprToUPS| |genericPosition| |repeating?| + |bag| |univariatePolynomials| |OMclose| |realSolve| |OMlistSymbols| + |tanh2trigh| |character?| |bumptab1| |antisymmetricTensors| |ranges| + |e02gaf| |monomials| |measure| |palgintegrate| |rowEchelon| |rootSimp| + |c05nbf| |monicDivide| |showTypeInOutput| + |halfExtendedSubResultantGcd1| |limitedIntegrate| |printingInfo?| + |f04adf| |besselJ| |semiIndiceSubResultantEuclidean| |diagonalMatrix| + |setPrologue!| |LyndonCoordinates| |closeComponent| + |jordanAdmissible?| |type| |getRef| |janko2| + |removeRedundantFactorsInPols| |permutationGroup| |routines| + |getOperator| |readBytes!| |is?| |stoseSquareFreePart| |coefficients| + |numericalIntegration| |rischDEsys| |cCosh| + |rewriteIdealWithRemainder| |toseLastSubResultant| + |purelyAlgebraicLeadingMonomial?| |generalTwoFactor| |OMconnInDevice| + |declare!| |rewriteSetByReducingWithParticularGenerators| SEGMENT + |setright!| |reduceByQuasiMonic| |complex?| |initiallyReduced?| + |generalizedContinuumHypothesisAssumed?| |leftMinimalPolynomial| + |squareMatrix| |bubbleSort!| |conical| |generalSqFr| |fixedPoint| + |constant| |operator| |makeSUP| |FormatArabic| |distFact| |mathieu11| + |leftZero| |clipPointsDefault| |f04arf| |ListOfTerms| |every?| + |drawCurves| |createZechTable| |palgextint0| |upperCase!| |insert!| + |defineProperty| |polynomialZeros| |factorSquareFree| + |partialNumerators| |extendedResultant| |super| |firstSubsetGray| + |extendedint| |roughEqualIdeals?| |rightTraceMatrix| |updatD| + |createLowComplexityTable| |cfirst| |graphImage| |structuralConstants| + |returnType!| |integralBasisAtInfinity| |elements| |integer?| |s17acf| + |validExponential| |sinIfCan| |indices| |plus!| |clipSurface| + |simplify| |mindegTerm| |matrixDimensions| |elseBranch| + |OMputEndError| |externalList| |factorPolynomial| |baseRDE| |concat| + |loopPoints| |noncommutativeJordanAlgebra?| |collectQuasiMonic| + |LyndonBasis| |segment| |minIndex| |mainMonomial| |abs| + |radicalOfLeftTraceForm| |brillhartTrials| |biRank| + |makeFloatFunction| |OMgetInteger| |error| |rightExtendedGcd| + |universe| |realElementary| |numberOfNormalPoly| |knownInfBasis| + |mainCoefficients| |setVariableOrder| |semiResultantReduitEuclidean| + |selectPolynomials| |singular?| |assert| |domainOf| + |mainPrimitivePart| |meshPar2Var| |prime| |s17def| |varList| + |rewriteIdealWithHeadRemainder| |fi2df| |componentUpperBound| + |OMputObject| |changeWeightLevel| |polyRDE| |createRandomElement| + |unravel| |nonQsign| |vector| |notOperand| |empty| |graphCurves| + |modifyPointData| |fixedPoints| |numberOfComponents| |autoReduced?| + |d01aqf| |airyBi| |differentiate| |fortranDouble| |radPoly| + |fortranInteger| |weierstrass| |dAndcExp| |freeOf?| |presub| |c06gqf| + |lexGroebner| |cylindrical| ~ |sin2csc| |asinhIfCan| |intensity| + |primeFactor| |product| |constantLeft| |taylorRep| |iilog| |polygon?| + |source| |matrix| |palgLODE| |iteratedInitials| |partitions| + |viewPosDefault| |inverseLaplace| |gcdPolynomial| |normDeriv2| + |stoseInvertibleSet| |bits| |curve| |open| |d03faf| + |innerEigenvectors| |listOfLists| |parent| |patternVariable| |hconcat| + |string?| |rightFactorIfCan| |makeGraphImage| |interval| + |zeroSquareMatrix| |compactFraction| |ptree| |interpretString| |keys| + |complexExpand| |rootPoly| |UP2ifCan| |OMgetEndError| |nor| + |OMsupportsCD?| |OMencodingSGML| |explicitlyEmpty?| |denominator| + |vectorise| |c05pbf| |construct| |stopTableInvSet!| |lllp| |coth2tanh| + |solid| |and?| |radix| |upDateBranches| |tan2trig| |uniform01| + |monicDecomposeIfCan| |localReal?| |d03edf| |ode| |graphState| + |OMgetAtp| |bright| |target| |erf| |csch2sinh| |setFormula!| + |mapBivariate| |wordInGenerators| |leftTrace| |groebSolve| + |closedCurve?| |explicitlyFinite?| |child| |lfextendedint| |pushup| + |contains?| |dimensionOfIrreducibleRepresentation| |rotatez| |returns| + |startPolynomial| |Si| |parts| |diophantineSystem| |rightMult| + |viewWriteDefault| |primintegrate| |testDim| |f02bjf| |showTheIFTable| + |ddFact| |trunc| |dilog| |vconcat| |vertConcat| |mix| |lazyIntegrate| + |OMmakeConn| |rdHack1| |plus| |s13adf| |setref| |corrPoly| |delay| + |mapMatrixIfCan| |sin| |principalAncestors| |youngGroup| |getCurve| + |pureLex| |sh| |mathieu12| |simplifyExp| |cos| |messagePrint| + |nullSpace| |discriminant| |indiceSubResultantEuclidean| |more?| + |front| |findBinding| |e01bff| |e02zaf| |ravel| |tan| + |transcendentalDecompose| |reflect| |coshIfCan| |leftDiscriminant| + |chvar| |reducedForm| |modularGcd| |copyInto!| |rename| + |powerAssociative?| |reshape| |cot| |linearAssociatedOrder| |back| + |irreducibleFactor| |setProperty!| |radicalSimplify| |monicModulo| + |setValue!| |split!| |times| |sec| |LagrangeInterpolation| |e02agf| + |isQuotient| |lazyVariations| |setColumn!| |scaleRoots| |drawComplex| + |inverseIntegralMatrix| |delete| |any?| |csc| |c06fuf| |removeSinSq| + NOT |getProperties| |range| |antiCommutative?| |laurentIfCan| + |singularAtInfinity?| |frst| |lhs| |asin| |badValues| |eigenvalues| + |cAcos| OR |OMunhandledSymbol| |squareFreePolynomial| |setelt| + |mindeg| |Vectorise| |tanNa| |lazyEvaluate| |prevPrime| |rhs| |acos| + |even?| |simpson| |roman| AND |setprevious!| |epilogue| |continue| + |mainMonomials| |sizePascalTriangle| |cyclicGroup| |monom| |atan| + |supDimElseRittWu?| |update| |reverseLex| |bivariatePolynomials| + |cycles| |simpsono| |copy| |splitSquarefree| |linearPolynomials| + |oblateSpheroidal| |f01brf| |acot| |sech2cosh| |minrank| |noKaratsuba| + |height| |truncate| |diagonalProduct| |df2ef| |completeEval| + |divergence| |axes| |ratPoly| |asec| |mapUnivariate| |f02axf| |resize| + |yCoordinates| |s17ajf| |selectOrPolynomials| + |generalizedEigenvectors| |s01eaf| |common| |accuracyIF| |acsc| + |c06fqf| |octon| |power!| |characteristicPolynomial| |autoCoerce| + |createThreeSpace| |cot2tan| |tree| |rewriteSetWithReduction| + |tryFunctionalDecomposition| |rowEchelonLocal| |sinh| |e02def| |qelt| + |RittWuCompare| |basisOfLeftNucloid| |topPredicate| |multiple?| + |ramifiedAtInfinity?| |getGraph| |qsetelt| |cosh| |match?| + |rationalIfCan| |position| |complexSolve| |times!| |sylvesterMatrix| + |makeVariable| |principalIdeal| |aCubic| |expr| |tanSum| + |addMatchRestricted| |purelyTranscendental?| |increase| |iitanh| + |tanh| |innerSolve1| |xRange| |sorted?| |virtualDegree| |cPower| + |curryRight| |tanh2coth| |quickSort| |d02gbf| |weight| |tail| |coth| + |OMconnectTCP| |sncndn| |yRange| |definingEquations| |leftQuotient| + |constantRight| |coerceL| |algint| |ref| |categoryFrame| |sech| + |legendre| |tablePow| |zRange| |f02aff| * |mathieu23| |errorKind| + |tRange| |exprToXXP| |term?| |outputList| |map!| |complexLimit| + |fortranCompilerName| |csch| |e02bbf| |printInfo| GE + |univariatePolynomial| |cSinh| |generator| |c05adf| |d02gaf| + |substring?| |variable| |OMUnknownCD?| |hermite| |qsetelt!| + |degreePartition| |asinh| |meshPar1Var| |overbar| |makeSin| GT + |npcoef| |delta| |geometric| |constant?| |iterators| |computeInt| + |besselY| |acosh| |getMatch| |elementary| |leadingTerm| |iiasinh| LE + |LazardQuotient2| |minordet| |removeZero| |suffix?| + |clearFortranOutputStack| |definingInequation| |infieldIntegrate| + |atanh| |iicsch| |se2rfi| |cAsin| LT |deepestTail| |setLength!| + |multiplyExponents| |leftRecip| |radicalSolve| |acoth| |Lazard| + |bringDown| |eof?| |currentCategoryFrame| |realRoots| |mulmod| + |e04fdf| |prefix?| |associatorDependence| |superHeight| |jacobi| + |anticoord| |abelianGroup| |zeroSetSplit| |hasPredicate?| + |normalizeIfCan| |replace| |ratDenom| |quasiRegular?| |f02aef| + |leftLcm| |resultantnaif| |acsch| |fmecg| |key?| |setRow!| + |symbolTableOf| |fracPart| |viewpoint| |call| |double?| |getCode| + |parametric?| |next| |rur| |bezoutResultant| |squareFreePart| + |mappingAst| |precision| |moebiusMu| |nextPrime| |screenResolution| + |toseInvertible?| |int| |iExquo| |lambda| |crest| |setelt!| |e02akf| + |complementaryBasis| |selectSumOfSquaresRoutines| |objects| |failed| + |column| |linkToFortran| |f01ref| |polygon| |d02ejf| |refine| + |pseudoDivide| |represents| |derivationCoordinates| |base| + |numberOfComputedEntries| |s18aef| |froot| |monomialIntPoly| + |headReduced?| |cyclotomicDecomposition| |monicRightFactorIfCan| + |LiePoly| |newReduc| |computePowers| |tanQ| |quotient| |isPlus| + |groebnerFactorize| |indicialEquationAtInfinity| |cycle| |factorList| + |monicCompleteDecompose| |parents| |representationType| |irreducible?| + |lambert| |f04mbf| |ScanArabic| |modTree| |hostPlatform| + |constantOpIfCan| |nextItem| |critM| |horizConcat| |tube| + |lazyPseudoRemainder| |port| |tryFunctionalDecomposition?| + |rightUnits| |integralMatrixAtInfinity| |UpTriBddDenomInv| + |extractPoint| |combineFeatureCompatibility| |numberOfVariables| + |trigs2explogs| |acscIfCan| |e01bhf| |OMgetBind| |unit| + |constantCoefficientRicDE| |linearAssociatedExp| |dequeue| |mapGen| + |aromberg| |exp1| |nthExponent| |factorGroebnerBasis| + |expenseOfEvaluation| |dark| |outputForm| |alphanumeric?| |makeCrit| + |genericLeftMinimalPolynomial| |qroot| |solve1| |f01bsf| + |isConnected?| |cubic| |test| |omError| |approxNthRoot| + |inconsistent?| |groebner| |incr| |maxRowIndex| |s15aef| |composites| + |parabolicCylindrical| |RemainderList| |clearCache| |iroot| + |seriesSolve| |d01gaf| |function| |divideExponents| + |leftExactQuotient| |parseString| |adaptive?| |iiGamma| + |internalInfRittWu?| |removeSinhSq| |morphism| |quotientByP| + |KrullNumber| |hi| |reciprocalPolynomial| |prefix| |rightScalarTimes!| + |besselK| |kroneckerDelta| |subHeight| |id| |iiacoth| + |fillPascalTriangle| |s13aaf| |log| |setStatus| |eval| |mainContent| + |upperCase?| |ParCond| |push| |imagK| |dim| |previous| |insert| + |rationalApproximation| |tubePlot| |OMsupportsSymbol?| + |modularGcdPrimitive| |nodeOf?| |normal?| |triangulate| + |leftTraceMatrix| |e02daf| |nil| |infinite| |arbitraryExponent| + |approximate| |complex| |shallowMutable| |canonical| |noetherian| + |central| |partiallyOrderedSet| |arbitraryPrecision| + |canonicalsClosed| |noZeroDivisors| |rightUnitary| |leftUnitary| + |additiveValuation| |unitsKnown| |canonicalUnitNormal| + |multiplicativeValuation| |finiteAggregate| |shallowlyMutable| + |commutative|)
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T) ((-23) . T) ((-25) . T) ((-38 #0=(-406 (-558))) -3996 (|has| |#1| (-348)) (|has| |#1| (-362))) ((-38 |#1|) . T) ((-38 $) -3996 (|has| |#1| (-550)) (|has| |#1| (-348)) (|has| |#1| (-362)) (|has| |#1| (-306))) ((-35) |has| |#1| (-1185)) ((-95) |has| |#1| (-1185)) ((-102) . T) ((-111 #0# #0#) -3996 (|has| |#1| (-348)) (|has| |#1| (-362))) ((-111 |#1| |#1|) . T) ((-111 $ $) . T) ((-130) . T) ((-144) -3996 (|has| |#1| (-348)) (|has| |#1| (-144))) ((-146) |has| |#1| (-146)) ((-608 #0#) -3996 (|has| |#1| (-1028 (-406 (-558)))) (|has| |#1| (-348)) (|has| |#1| (-362))) ((-608 (-558)) . T) ((-608 |#1|) . T) ((-608 $) -3996 (|has| |#1| (-550)) (|has| |#1| (-348)) (|has| |#1| (-362)) (|has| |#1| (-306))) ((-605 (-853)) . T) ((-171) . T) ((-606 (-168 (-224))) |has| |#1| (-1012)) ((-606 (-168 (-378))) |has| |#1| (-1012)) ((-606 (-534)) |has| |#1| (-606 (-534))) ((-606 (-882 (-378))) |has| |#1| (-606 (-882 (-378)))) ((-606 (-882 (-558))) |has| |#1| (-606 (-882 (-558)))) ((-606 #1=(-1159 |#1|)) . 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T) ((-450) -3996 (|has| |#1| (-348)) (|has| |#1| (-362)) (|has| |#1| (-306))) ((-491) |has| |#1| (-1185)) ((-512 (-1163) |#1|) |has| |#1| (-512 (-1163) |#1|)) ((-512 |#1| |#1|) |has| |#1| (-308 |#1|)) ((-550) -3996 (|has| |#1| (-550)) (|has| |#1| (-348)) (|has| |#1| (-362)) (|has| |#1| (-306))) ((-638 #0#) -3996 (|has| |#1| (-348)) (|has| |#1| (-362))) ((-638 |#1|) . T) ((-638 $) . T) ((-631 (-558)) |has| |#1| (-631 (-558))) ((-631 |#1|) . T) ((-708 #0#) -3996 (|has| |#1| (-348)) (|has| |#1| (-362))) ((-708 |#1|) . T) ((-708 $) -3996 (|has| |#1| (-550)) (|has| |#1| (-348)) (|has| |#1| (-362)) (|has| |#1| (-306))) ((-715 |#1| #1#) . T) ((-717) . T) ((-841) |has| |#1| (-841)) ((-890 (-1163)) |has| |#1| (-890 (-1163))) ((-876 (-378)) |has| |#1| (-876 (-378))) ((-876 (-558)) |has| |#1| (-876 (-558))) ((-874 |#1|) . T) ((-899) -12 (|has| |#1| (-306)) (|has| |#1| (-899))) ((-910) -3996 (|has| |#1| (-348)) (|has| |#1| (-362)) (|has| |#1| (-306))) ((-992) -12 (|has| |#1| (-992)) (|has| |#1| (-1185))) ((-1028 (-406 (-558))) |has| |#1| (-1028 (-406 (-558)))) ((-1028 (-558)) |has| |#1| (-1028 (-558))) ((-1028 |#1|) . T) ((-1045 #0#) -3996 (|has| |#1| (-348)) (|has| |#1| (-362))) ((-1045 |#1|) . T) ((-1045 $) . T) ((-1039) . T) ((-1046) . T) ((-1099) . T) ((-1087) . T) ((-1138) |has| |#1| (-348)) ((-1185) |has| |#1| (-1185)) ((-1188) |has| |#1| (-1185)) ((-1200) . 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T) ((-171) |has| |#2| (-171)) ((-230 |#2|) |has| |#2| (-1039)) ((-232) -12 (|has| |#2| (-232)) (|has| |#2| (-1039))) ((-285 #1=(-558) |#2|) . T) ((-287 #1# |#2|) . T) ((-308 |#2|) -12 (|has| |#2| (-308 |#2|)) (|has| |#2| (-1087))) ((-367) |has| |#2| (-367)) ((-376 |#2|) |has| |#2| (-1039)) ((-410 |#2|) |has| |#2| (-1087)) ((-487 |#2|) . T) ((-596 #1# |#2|) . T) ((-512 |#2| |#2|) -12 (|has| |#2| (-308 |#2|)) (|has| |#2| (-1087))) ((-638 |#2|) -3996 (|has| |#2| (-1039)) (|has| |#2| (-362)) (|has| |#2| (-171))) ((-638 $) -3996 (|has| |#2| (-1039)) (|has| |#2| (-839)) (|has| |#2| (-171))) ((-631 (-558)) -12 (|has| |#2| (-631 (-558))) (|has| |#2| (-1039))) ((-631 |#2|) |has| |#2| (-1039)) ((-708 |#2|) -3996 (|has| |#2| (-362)) (|has| |#2| (-171))) ((-717) -3996 (|has| |#2| (-1039)) (|has| |#2| (-839)) (|has| |#2| (-717)) (|has| |#2| (-171))) ((-782) |has| |#2| (-839)) ((-783) -3996 (|has| |#2| (-839)) (|has| |#2| (-784))) ((-784) |has| |#2| (-784)) ((-785) -3996 (|has| |#2| (-839)) (|has| |#2| (-784))) ((-786) -3996 (|has| |#2| (-839)) (|has| |#2| (-784))) ((-839) |has| |#2| (-839)) ((-841) -3996 (|has| |#2| (-839)) (|has| |#2| (-784))) ((-890 (-1163)) -12 (|has| |#2| (-890 (-1163))) (|has| |#2| (-1039))) ((-1028 #0#) -12 (|has| |#2| (-1028 (-406 (-558)))) (|has| |#2| (-1087))) ((-1028 (-558)) -12 (|has| |#2| (-1028 (-558))) (|has| |#2| (-1087))) ((-1028 |#2|) |has| |#2| (-1087)) ((-1045 |#2|) -3996 (|has| |#2| (-1039)) (|has| |#2| (-362)) (|has| |#2| (-171))) ((-1045 $) |has| |#2| (-171)) ((-1039) -3996 (|has| |#2| (-1039)) (|has| |#2| (-839)) (|has| |#2| (-171))) ((-1046) -3996 (|has| |#2| (-1039)) (|has| |#2| (-839)) (|has| |#2| (-171))) ((-1099) -3996 (|has| |#2| (-1039)) (|has| |#2| (-839)) (|has| |#2| (-717)) (|has| |#2| (-171))) ((-1087) -3996 (|has| |#2| (-1087)) (|has| |#2| (-1039)) (|has| |#2| (-839)) (|has| |#2| (-784)) (|has| |#2| (-717)) (|has| |#2| (-367)) (|has| |#2| (-362)) (|has| |#2| (-171)) (|has| |#2| (-130)) (|has| |#2| (-25))) ((-1200) . T) ((-1253 |#2|) |has| |#2| (-362))) -((-3703 (((-239 |#1| |#3|) (-1 |#3| |#2| |#3|) (-239 |#1| |#2|) |#3|) 21)) (-3024 ((|#3| (-1 |#3| |#2| |#3|) (-239 |#1| |#2|) |#3|) 23)) (-2009 (((-239 |#1| |#3|) (-1 |#3| |#2|) (-239 |#1| |#2|)) 18))) -(((-238 |#1| |#2| |#3|) (-10 -7 (-15 -3703 ((-239 |#1| |#3|) (-1 |#3| |#2| |#3|) (-239 |#1| |#2|) |#3|)) (-15 -3024 (|#3| (-1 |#3| |#2| |#3|) (-239 |#1| |#2|) |#3|)) (-15 -2009 ((-239 |#1| |#3|) (-1 |#3| |#2|) (-239 |#1| |#2|)))) (-762) (-1200) (-1200)) (T -238)) -((-2009 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *7 *6)) (-5 *4 (-239 *5 *6)) (-14 *5 (-762)) (-4 *6 (-1200)) (-4 *7 (-1200)) (-5 *2 (-239 *5 *7)) (-5 *1 (-238 *5 *6 *7)))) (-3024 (*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *6 *2)) (-5 *4 (-239 *5 *6)) (-14 *5 (-762)) (-4 *6 (-1200)) (-4 *2 (-1200)) (-5 *1 (-238 *5 *6 *2)))) (-3703 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 *5 *7 *5)) (-5 *4 (-239 *6 *7)) (-14 *6 (-762)) (-4 *7 (-1200)) (-4 *5 (-1200)) (-5 *2 (-239 *6 *5)) (-5 *1 (-238 *6 *7 *5))))) -(-10 -7 (-15 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T) ((-23) . T) ((-47 |#1| |#4|) . T) ((-25) . T) ((-38 #0=(-406 (-558))) |has| |#1| (-38 (-406 (-558)))) ((-38 |#1|) |has| |#1| (-171)) ((-38 $) -3996 (|has| |#1| (-899)) (|has| |#1| (-550)) (|has| |#1| (-450))) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-38 (-406 (-558)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -3996 (|has| |#1| (-899)) (|has| |#1| (-550)) (|has| |#1| (-450)) (|has| |#1| (-171))) ((-130) . T) ((-144) |has| |#1| (-144)) ((-146) |has| |#1| (-146)) ((-608 #0#) -3996 (|has| |#1| (-1028 (-406 (-558)))) (|has| |#1| (-38 (-406 (-558))))) ((-608 (-558)) . T) ((-608 |#1|) . T) ((-608 |#2|) . T) ((-608 |#3|) . T) ((-608 $) -3996 (|has| |#1| (-899)) (|has| |#1| (-550)) (|has| |#1| (-450))) ((-605 (-853)) . 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T) ((-708 #0#) |has| |#1| (-38 (-406 (-558)))) ((-708 |#1|) |has| |#1| (-171)) ((-708 $) -3996 (|has| |#1| (-899)) (|has| |#1| (-550)) (|has| |#1| (-450))) ((-717) . T) ((-841) |has| |#1| (-841)) ((-890 (-1163)) |has| |#1| (-890 (-1163))) ((-890 |#3|) . T) ((-876 (-378)) -12 (|has| |#1| (-876 (-378))) (|has| |#3| (-876 (-378)))) ((-876 (-558)) -12 (|has| |#1| (-876 (-558))) (|has| |#3| (-876 (-558)))) ((-939 |#1| |#4| |#3|) . T) ((-899) |has| |#1| (-899)) ((-1028 (-406 (-558))) |has| |#1| (-1028 (-406 (-558)))) ((-1028 (-558)) |has| |#1| (-1028 (-558))) ((-1028 |#1|) . T) ((-1028 |#2|) . T) ((-1028 |#3|) . T) ((-1045 #0#) |has| |#1| (-38 (-406 (-558)))) ((-1045 |#1|) . T) ((-1045 $) -3996 (|has| |#1| (-899)) (|has| |#1| (-550)) (|has| |#1| (-450)) (|has| |#1| (-171))) ((-1039) . T) ((-1046) . T) ((-1099) . T) ((-1087) . 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(* (($ (-911) $) NIL) (($ (-762) $) NIL) (($ (-558) $) 32) (($ $ $) 31))) (((-1274 |#1|) (-13 (-171) (-367) (-606 (-558)) (-1138)) (-911)) (T -1274)) NIL (-13 (-171) (-367) (-606 (-558)) (-1138)) @@ -5244,4 +5244,4 @@ NIL NIL NIL NIL -((-3 3184375 3184380 3184385 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-2 3184360 3184365 3184370 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1 3184345 3184350 3184355 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (0 3184330 3184335 3184340 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1274 3183506 3184205 3184282 "ZMOD" 3184287 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1273 3182616 3182780 3182989 "ZLINDEP" 3183338 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1272 3171920 3173684 3175656 "ZDSOLVE" 3180746 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1271 3171166 3171307 3171496 "YSTREAM" 3171766 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1270 3168977 3170467 3170671 "XRPOLY" 3171009 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1269 3165565 3166848 3167423 "XPR" 3168449 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1268 3163321 3164896 3165100 "XPOLY" 3165396 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1267 3161112 3162446 3162501 "XPOLYC" 3162789 NIL XPOLYC (NIL T T) -9 NIL 3162902 NIL) (-1266 3157530 3159629 3160017 "XPBWPOLY" 3160770 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1265 3153441 3155693 3155735 "XF" 3156356 NIL XF (NIL T) -9 NIL 3156756 NIL) (-1264 3153062 3153150 3153319 "XF-" 3153324 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1263 3148396 3149651 3149706 "XFALG" 3151878 NIL XFALG (NIL T T) -9 NIL 3152667 NIL) (-1262 3147529 3147633 3147838 "XEXPPKG" 3148288 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1261 3145673 3147379 3147475 "XDPOLY" 3147480 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1260 3144618 3145184 3145227 "XALG" 3145232 NIL XALG (NIL T) -9 NIL 3145343 NIL) (-1259 3138087 3142595 3143089 "WUTSET" 3144210 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1258 3136378 3137139 3137462 "WP" 3137898 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1257 3136007 3136200 3136270 "WHILEAST" 3136330 T WHILEAST (NIL) -8 NIL NIL NIL) (-1256 3135506 3135724 3135818 "WHEREAST" 3135935 T WHEREAST (NIL) -8 NIL NIL NIL) (-1255 3134392 3134590 3134885 "WFFINTBS" 3135303 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1254 3132296 3132723 3133185 "WEIER" 3133964 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1253 3131443 3131867 3131909 "VSPACE" 3132045 NIL VSPACE (NIL T) -9 NIL 3132119 NIL) (-1252 3131281 3131308 3131399 "VSPACE-" 3131404 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1251 3131089 3131132 3131200 "VOID" 3131235 T VOID (NIL) -8 NIL NIL NIL) (-1250 3129225 3129584 3129990 "VIEW" 3130705 T VIEW (NIL) -7 NIL NIL NIL) (-1249 3125650 3126288 3127025 "VIEWDEF" 3128510 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1248 3114986 3117198 3119371 "VIEW3D" 3123499 T VIEW3D (NIL) -8 NIL NIL NIL) (-1247 3107268 3108897 3110476 "VIEW2D" 3113429 T VIEW2D (NIL) -8 NIL NIL NIL) (-1246 3102672 3107038 3107130 "VECTOR" 3107211 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1245 3101249 3101508 3101826 "VECTOR2" 3102402 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1244 3094776 3099033 3099076 "VECTCAT" 3100069 NIL VECTCAT (NIL T) -9 NIL 3100655 NIL) (-1243 3093790 3094044 3094434 "VECTCAT-" 3094439 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1242 3093271 3093441 3093561 "VARIABLE" 3093705 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1241 3093204 3093209 3093239 "UTYPE" 3093244 T UTYPE (NIL) -9 NIL NIL NIL) (-1240 3092034 3092188 3092450 "UTSODETL" 3093030 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1239 3089474 3089934 3090458 "UTSODE" 3091575 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1238 3081350 3087100 3087589 "UTS" 3089043 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1237 3072593 3077917 3077960 "UTSCAT" 3079072 NIL UTSCAT (NIL T) -9 NIL 3079829 NIL) (-1236 3069948 3070663 3071652 "UTSCAT-" 3071657 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1235 3069575 3069618 3069751 "UTS2" 3069899 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1234 3063848 3066413 3066456 "URAGG" 3068526 NIL URAGG (NIL T) -9 NIL 3069249 NIL) (-1233 3060787 3061650 3062773 "URAGG-" 3062778 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1232 3056511 3059401 3059873 "UPXSSING" 3060451 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1231 3048613 3055758 3056031 "UPXS" 3056296 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1230 3041726 3048517 3048589 "UPXSCONS" 3048594 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1229 3031971 3038721 3038783 "UPXSCCA" 3039357 NIL UPXSCCA (NIL T T) -9 NIL 3039590 NIL) (-1228 3031609 3031694 3031868 "UPXSCCA-" 3031873 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1227 3021707 3028230 3028273 "UPXSCAT" 3028921 NIL UPXSCAT (NIL T) -9 NIL 3029529 NIL) (-1226 3021137 3021216 3021395 "UPXS2" 3021622 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1225 3019791 3020044 3020395 "UPSQFREE" 3020880 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1224 3013579 3016593 3016648 "UPSCAT" 3017809 NIL UPSCAT (NIL T T) -9 NIL 3018583 NIL) (-1223 3012783 3012990 3013317 "UPSCAT-" 3013322 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1222 2998633 3006631 3006674 "UPOLYC" 3008775 NIL UPOLYC (NIL T) -9 NIL 3009996 NIL) (-1221 2989962 2992387 2995534 "UPOLYC-" 2995539 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1220 2989589 2989632 2989765 "UPOLYC2" 2989913 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1219 2981163 2989272 2989401 "UP" 2989508 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1218 2980502 2980609 2980773 "UPMP" 2981052 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1217 2980055 2980136 2980275 "UPDIVP" 2980415 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1216 2978623 2978872 2979188 "UPDECOMP" 2979804 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1215 2977858 2977970 2978155 "UPCDEN" 2978507 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1214 2977377 2977446 2977595 "UP2" 2977783 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1213 2975894 2976581 2976858 "UNISEG" 2977135 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1212 2975109 2975236 2975441 "UNISEG2" 2975737 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1211 2974169 2974349 2974575 "UNIFACT" 2974925 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1210 2958136 2973346 2973597 "ULS" 2973976 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1209 2946176 2958040 2958112 "ULSCONS" 2958117 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1208 2928792 2940734 2940796 "ULSCCAT" 2941434 NIL ULSCCAT (NIL T T) -9 NIL 2941722 NIL) (-1207 2927842 2928087 2928475 "ULSCCAT-" 2928480 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1206 2917717 2924154 2924197 "ULSCAT" 2925060 NIL ULSCAT (NIL T) -9 NIL 2925790 NIL) (-1205 2917147 2917226 2917405 "ULS2" 2917632 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1204 2915550 2916473 2916503 "UFD" 2916715 T UFD (NIL) -9 NIL 2916829 NIL) (-1203 2915344 2915390 2915485 "UFD-" 2915490 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1202 2914426 2914609 2914825 "UDVO" 2915150 T UDVO (NIL) -7 NIL NIL NIL) (-1201 2912242 2912651 2913122 "UDPO" 2913990 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1200 2912175 2912180 2912210 "TYPE" 2912215 T TYPE (NIL) -9 NIL NIL NIL) (-1199 2911962 2912130 2912161 "TYPEAST" 2912166 T TYPEAST (NIL) 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2875625 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1186 2872297 2874258 2874539 "TREE" 2875154 NIL TREE (NIL T) -8 NIL NIL NIL) (-1185 2871571 2872099 2872129 "TRANFUN" 2872164 T TRANFUN (NIL) -9 NIL 2872230 NIL) (-1184 2870850 2871041 2871321 "TRANFUN-" 2871326 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1183 2870654 2870686 2870747 "TOPSP" 2870811 T TOPSP (NIL) -7 NIL NIL NIL) (-1182 2870002 2870117 2870271 "TOOLSIGN" 2870535 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1181 2868663 2869179 2869418 "TEXTFILE" 2869785 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1180 2866602 2867116 2867545 "TEX" 2868256 T TEX (NIL) -8 NIL NIL NIL) (-1179 2866383 2866414 2866486 "TEX1" 2866565 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1178 2866031 2866094 2866184 "TEMUTL" 2866315 T TEMUTL (NIL) -7 NIL NIL NIL) (-1177 2864185 2864465 2864790 "TBCMPPK" 2865754 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1176 2856073 2862345 2862401 "TBAGG" 2862801 NIL TBAGG (NIL T T) -9 NIL 2863012 NIL) (-1175 2851143 2852631 2854385 "TBAGG-" 2854390 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1174 2850527 2850634 2850779 "TANEXP" 2851032 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1173 2844028 2850384 2850477 "TABLE" 2850482 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1172 2843440 2843539 2843677 "TABLEAU" 2843925 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1171 2838048 2839268 2840516 "TABLBUMP" 2842226 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1170 2837476 2837576 2837704 "SYSTEM" 2837942 T SYSTEM (NIL) -7 NIL NIL NIL) (-1169 2833939 2834634 2835417 "SYSSOLP" 2836727 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1168 2830273 2831200 2831916 "SYNTAX" 2833245 T SYNTAX (NIL) -8 NIL NIL NIL) (-1167 2827431 2828033 2828665 "SYMTAB" 2829663 T SYMTAB (NIL) -8 NIL NIL NIL) (-1166 2822680 2823582 2824565 "SYMS" 2826470 T SYMS (NIL) -8 NIL NIL NIL) (-1165 2819952 2822138 2822368 "SYMPOLY" 2822485 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1164 2819469 2819544 2819667 "SYMFUNC" 2819864 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1163 2815521 2816781 2817594 "SYMBOL" 2818678 T SYMBOL (NIL) -8 NIL NIL NIL) (-1162 2809060 2810749 2812469 "SWITCH" 2813823 T SWITCH (NIL) -8 NIL NIL NIL) (-1161 2802330 2807881 2808184 "SUTS" 2808815 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1160 2794431 2801577 2801850 "SUPXS" 2802115 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1159 2785961 2794049 2794175 "SUP" 2794340 NIL SUP (NIL T) -8 NIL NIL NIL) (-1158 2785120 2785247 2785464 "SUPFRACF" 2785829 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1157 2784741 2784800 2784913 "SUP2" 2785055 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1156 2783154 2783428 2783791 "SUMRF" 2784440 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1155 2782468 2782534 2782733 "SUMFS" 2783075 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1154 2766475 2781645 2781896 "SULS" 2782275 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1153 2766104 2766297 2766367 "SUCHTAST" 2766427 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1152 2765426 2765629 2765769 "SUCH" 2766012 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1151 2759320 2760332 2761291 "SUBSPACE" 2764514 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1150 2758750 2758840 2759004 "SUBRESP" 2759208 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1149 2752119 2753415 2754726 "STTF" 2757486 NIL STTF (NIL T) -7 NIL NIL NIL) (-1148 2746292 2747412 2748559 "STTFNC" 2751019 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1147 2737607 2739474 2741268 "STTAYLOR" 2744533 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1146 2730851 2737471 2737554 "STRTBL" 2737559 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1145 2726242 2730806 2730837 "STRING" 2730842 T STRING (NIL) -8 NIL NIL NIL) (-1144 2721130 2725615 2725645 "STRICAT" 2725704 T STRICAT (NIL) -9 NIL 2725766 NIL) (-1143 2713940 2718749 2719360 "STREAM" 2720554 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1142 2713450 2713527 2713671 "STREAM3" 2713857 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1141 2712432 2712615 2712850 "STREAM2" 2713263 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1140 2712120 2712172 2712265 "STREAM1" 2712374 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1139 2711136 2711317 2711548 "STINPROD" 2711936 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1138 2710714 2710898 2710928 "STEP" 2711008 T STEP (NIL) -9 NIL 2711086 NIL) (-1137 2704257 2710613 2710690 "STBL" 2710695 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1136 2699431 2703478 2703521 "STAGG" 2703674 NIL STAGG (NIL T) -9 NIL 2703763 NIL) (-1135 2697133 2697735 2698607 "STAGG-" 2698612 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1134 2695328 2696903 2696995 "STACK" 2697076 NIL STACK (NIL T) -8 NIL NIL NIL) (-1133 2688053 2693469 2693925 "SREGSET" 2694958 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1132 2680479 2681847 2683360 "SRDCMPK" 2686659 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1131 2673446 2677919 2677949 "SRAGG" 2679252 T SRAGG (NIL) -9 NIL 2679860 NIL) (-1130 2672463 2672718 2673097 "SRAGG-" 2673102 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1129 2666958 2671410 2671831 "SQMATRIX" 2672089 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1128 2660707 2663676 2664403 "SPLTREE" 2666303 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1127 2656697 2657363 2658009 "SPLNODE" 2660133 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1126 2655744 2655977 2656007 "SPFCAT" 2656451 T SPFCAT (NIL) -9 NIL NIL NIL) (-1125 2654481 2654691 2654955 "SPECOUT" 2655502 T SPECOUT (NIL) -7 NIL NIL NIL) (-1124 2646133 2647877 2647907 "SPADXPT" 2652299 T SPADXPT (NIL) -9 NIL 2654333 NIL) (-1123 2645894 2645934 2646003 "SPADPRSR" 2646086 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1122 2644077 2645849 2645880 "SPADAST" 2645885 T SPADAST (NIL) -8 NIL NIL NIL) (-1121 2636048 2637795 2637838 "SPACEC" 2642211 NIL SPACEC (NIL T) -9 NIL 2644027 NIL) (-1120 2634219 2635980 2636029 "SPACE3" 2636034 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1119 2632971 2633142 2633433 "SORTPAK" 2634024 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1118 2631021 2631324 2631743 "SOLVETRA" 2632635 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1117 2630032 2630254 2630528 "SOLVESER" 2630794 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1116 2625252 2626133 2627135 "SOLVERAD" 2629084 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1115 2621067 2621676 2622405 "SOLVEFOR" 2624619 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1114 2615364 2620416 2620513 "SNTSCAT" 2620518 NIL SNTSCAT (NIL T T T T) -9 NIL 2620588 NIL) (-1113 2609507 2613687 2614078 "SMTS" 2615054 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1112 2603958 2609395 2609472 "SMP" 2609477 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1111 2602117 2602418 2602816 "SMITH" 2603655 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1110 2595012 2599168 2599271 "SMATCAT" 2600622 NIL SMATCAT (NIL NIL T T T) -9 NIL 2601172 NIL) (-1109 2591952 2592775 2593953 "SMATCAT-" 2593958 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1108 2589665 2591188 2591231 "SKAGG" 2591492 NIL SKAGG (NIL T) -9 NIL 2591627 NIL) (-1107 2586007 2589081 2589276 "SINT" 2589463 T SINT (NIL) -8 NIL NIL 2589636) (-1106 2585779 2585817 2585883 "SIMPAN" 2585963 T SIMPAN (NIL) -7 NIL NIL NIL) (-1105 2585086 2585314 2585454 "SIG" 2585661 T SIG (NIL) -8 NIL NIL NIL) (-1104 2583924 2584145 2584420 "SIGNRF" 2584845 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1103 2582729 2582880 2583171 "SIGNEF" 2583753 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1102 2582062 2582312 2582436 "SIGAST" 2582627 T SIGAST (NIL) -8 NIL NIL NIL) (-1101 2579752 2580206 2580712 "SHP" 2581603 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1100 2573658 2579653 2579729 "SHDP" 2579734 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1099 2573257 2573423 2573453 "SGROUP" 2573546 T SGROUP (NIL) -9 NIL 2573608 NIL) (-1098 2573115 2573141 2573214 "SGROUP-" 2573219 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1097 2569951 2570648 2571371 "SGCF" 2572414 T SGCF (NIL) -7 NIL NIL NIL) (-1096 2564346 2569398 2569495 "SFRTCAT" 2569500 NIL SFRTCAT (NIL T T T T) -9 NIL 2569539 NIL) (-1095 2557770 2558785 2559921 "SFRGCD" 2563329 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1094 2550898 2551969 2553155 "SFQCMPK" 2556703 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1093 2550520 2550609 2550719 "SFORT" 2550839 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1092 2549665 2550360 2550481 "SEXOF" 2550486 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1091 2548799 2549546 2549614 "SEX" 2549619 T SEX (NIL) -8 NIL NIL NIL) (-1090 2544338 2545027 2545122 "SEXCAT" 2548059 NIL SEXCAT (NIL T T T T T) -9 NIL 2548637 NIL) (-1089 2541518 2544272 2544320 "SET" 2544325 NIL SET (NIL T) -8 NIL NIL NIL) (-1088 2539769 2540231 2540536 "SETMN" 2541259 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1087 2539375 2539501 2539531 "SETCAT" 2539648 T SETCAT (NIL) -9 NIL 2539733 NIL) (-1086 2539155 2539207 2539306 "SETCAT-" 2539311 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1085 2535542 2537616 2537659 "SETAGG" 2538529 NIL SETAGG (NIL T) -9 NIL 2538869 NIL) (-1084 2535000 2535116 2535353 "SETAGG-" 2535358 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1083 2534470 2534696 2534797 "SEQAST" 2534921 T SEQAST (NIL) -8 NIL NIL NIL) (-1082 2533669 2533963 2534024 "SEGXCAT" 2534310 NIL SEGXCAT (NIL T T) -9 NIL 2534430 NIL) (-1081 2532725 2533335 2533517 "SEG" 2533522 NIL SEG (NIL T) -8 NIL NIL NIL) (-1080 2531704 2531918 2531961 "SEGCAT" 2532483 NIL SEGCAT (NIL T) -9 NIL 2532704 NIL) (-1079 2530753 2531083 2531283 "SEGBIND" 2531539 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1078 2530374 2530433 2530546 "SEGBIND2" 2530688 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1077 2529975 2530175 2530252 "SEGAST" 2530319 T SEGAST (NIL) -8 NIL NIL NIL) (-1076 2529194 2529320 2529524 "SEG2" 2529819 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1075 2528631 2529129 2529176 "SDVAR" 2529181 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1074 2520921 2528401 2528531 "SDPOL" 2528536 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1073 2519514 2519780 2520099 "SCPKG" 2520636 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1072 2518650 2518830 2519030 "SCOPE" 2519336 T SCOPE (NIL) -8 NIL NIL NIL) (-1071 2517871 2518004 2518183 "SCACHE" 2518505 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1070 2517543 2517703 2517733 "SASTCAT" 2517738 T SASTCAT (NIL) -9 NIL 2517751 NIL) (-1069 2517057 2517378 2517454 "SAOS" 2517489 T SAOS (NIL) -8 NIL NIL NIL) (-1068 2516622 2516657 2516830 "SAERFFC" 2517016 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1067 2510596 2516519 2516599 "SAE" 2516604 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1066 2510189 2510224 2510383 "SAEFACT" 2510555 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1065 2508510 2508824 2509225 "RURPK" 2509855 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1064 2507146 2507425 2507737 "RULESET" 2508344 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1063 2504333 2504836 2505301 "RULE" 2506827 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1062 2503972 2504127 2504210 "RULECOLD" 2504285 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1061 2503470 2503689 2503783 "RSTRCAST" 2503900 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1060 2498319 2499113 2500033 "RSETGCD" 2502669 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1059 2487576 2492628 2492725 "RSETCAT" 2496844 NIL RSETCAT (NIL T T T T) -9 NIL 2497941 NIL) (-1058 2485503 2486042 2486866 "RSETCAT-" 2486871 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1057 2477890 2479265 2480785 "RSDCMPK" 2484102 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1056 2475895 2476336 2476410 "RRCC" 2477496 NIL RRCC (NIL T T) -9 NIL 2477840 NIL) (-1055 2475246 2475420 2475699 "RRCC-" 2475704 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1054 2474716 2474942 2475043 "RPTAST" 2475167 T RPTAST (NIL) -8 NIL NIL NIL) (-1053 2448722 2458309 2458376 "RPOLCAT" 2469040 NIL RPOLCAT (NIL T T T) -9 NIL 2472199 NIL) (-1052 2440222 2442560 2445682 "RPOLCAT-" 2445687 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1051 2431269 2438433 2438915 "ROUTINE" 2439762 T ROUTINE (NIL) -8 NIL NIL NIL) (-1050 2428102 2430895 2431035 "ROMAN" 2431151 T ROMAN (NIL) -8 NIL NIL NIL) (-1049 2426377 2426962 2427222 "ROIRC" 2427907 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1048 2422770 2425013 2425043 "RNS" 2425347 T RNS (NIL) -9 NIL 2425620 NIL) (-1047 2421279 2421662 2422196 "RNS-" 2422271 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1046 2420728 2421110 2421140 "RNG" 2421145 T RNG (NIL) -9 NIL 2421166 NIL) (-1045 2420120 2420482 2420525 "RMODULE" 2420587 NIL RMODULE (NIL T) -9 NIL 2420629 NIL) (-1044 2418956 2419050 2419386 "RMCAT2" 2420021 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1043 2415833 2418302 2418599 "RMATRIX" 2418718 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1042 2408775 2411009 2411124 "RMATCAT" 2414483 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2415465 NIL) (-1041 2408150 2408297 2408604 "RMATCAT-" 2408609 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1040 2407717 2407792 2407920 "RINTERP" 2408069 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1039 2406850 2407370 2407400 "RING" 2407456 T RING (NIL) -9 NIL 2407542 NIL) (-1038 2406642 2406686 2406783 "RING-" 2406788 NIL RING- (NIL T) -8 NIL NIL NIL) (-1037 2405483 2405720 2405978 "RIDIST" 2406406 T RIDIST (NIL) -7 NIL NIL NIL) (-1036 2396799 2404951 2405157 "RGCHAIN" 2405331 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1035 2396175 2396555 2396596 "RGBCSPC" 2396654 NIL RGBCSPC (NIL T) -9 NIL 2396706 NIL) (-1034 2395359 2395714 2395755 "RGBCMDL" 2395987 NIL RGBCMDL (NIL T) -9 NIL 2396101 NIL) (-1033 2392353 2392967 2393637 "RF" 2394723 NIL RF (NIL T) -7 NIL NIL NIL) (-1032 2391999 2392062 2392165 "RFFACTOR" 2392284 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1031 2391724 2391759 2391856 "RFFACT" 2391958 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1030 2389841 2390205 2390587 "RFDIST" 2391364 T RFDIST (NIL) -7 NIL NIL NIL) (-1029 2389294 2389386 2389549 "RETSOL" 2389743 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1028 2388930 2389010 2389053 "RETRACT" 2389186 NIL RETRACT (NIL T) -9 NIL 2389273 NIL) (-1027 2388779 2388804 2388891 "RETRACT-" 2388896 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1026 2388408 2388601 2388671 "RETAST" 2388731 T RETAST (NIL) -8 NIL NIL NIL) (-1025 2381262 2388061 2388188 "RESULT" 2388303 T RESULT (NIL) -8 NIL NIL NIL) (-1024 2379888 2380531 2380730 "RESRING" 2381165 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1023 2379524 2379573 2379671 "RESLATC" 2379825 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1022 2379230 2379264 2379371 "REPSQ" 2379483 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1021 2376652 2377232 2377834 "REP" 2378650 T REP (NIL) -7 NIL NIL NIL) (-1020 2376350 2376384 2376495 "REPDB" 2376611 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1019 2370260 2371639 2372862 "REP2" 2375162 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1018 2366637 2367318 2368126 "REP1" 2369487 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1017 2359363 2364778 2365234 "REGSET" 2366267 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1016 2358176 2358511 2358761 "REF" 2359148 NIL REF (NIL T) -8 NIL NIL NIL) (-1015 2357553 2357656 2357823 "REDORDER" 2358060 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1014 2353558 2356766 2356993 "RECLOS" 2357381 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1013 2352610 2352791 2353006 "REALSOLV" 2353365 T REALSOLV (NIL) -7 NIL NIL NIL) (-1012 2352456 2352497 2352527 "REAL" 2352532 T REAL (NIL) -9 NIL 2352567 NIL) (-1011 2348939 2349741 2350625 "REAL0Q" 2351621 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1010 2344540 2345528 2346589 "REAL0" 2347920 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1009 2344038 2344257 2344351 "RDUCEAST" 2344468 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1008 2343443 2343515 2343722 "RDIV" 2343960 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1007 2342511 2342685 2342898 "RDIST" 2343265 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1006 2341108 2341395 2341767 "RDETRS" 2342219 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1005 2338920 2339374 2339912 "RDETR" 2340650 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1004 2337531 2337809 2338213 "RDEEFS" 2338636 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1003 2336026 2336332 2336764 "RDEEF" 2337219 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1002 2330287 2333162 2333192 "RCFIELD" 2334487 T RCFIELD (NIL) -9 NIL 2335217 NIL) (-1001 2328351 2328855 2329551 "RCFIELD-" 2329626 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1000 2324667 2326452 2326495 "RCAGG" 2327579 NIL RCAGG (NIL T) -9 NIL 2328044 NIL) (-999 2324297 2324391 2324552 "RCAGG-" 2324557 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-998 2323637 2323749 2323912 "RATRET" 2324181 NIL RATRET (NIL T) -7 NIL NIL NIL) (-997 2323194 2323261 2323380 "RATFACT" 2323565 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-996 2322509 2322629 2322779 "RANDSRC" 2323064 T RANDSRC (NIL) -7 NIL NIL NIL) (-995 2322246 2322290 2322361 "RADUTIL" 2322458 T RADUTIL (NIL) -7 NIL NIL NIL) (-994 2315408 2321088 2321396 "RADIX" 2321970 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-993 2307065 2315252 2315380 "RADFF" 2315385 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-992 2306717 2306792 2306820 "RADCAT" 2306977 T RADCAT (NIL) -9 NIL NIL NIL) (-991 2306502 2306550 2306647 "RADCAT-" 2306652 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-990 2304653 2306277 2306366 "QUEUE" 2306446 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-989 2301229 2304590 2304635 "QUAT" 2304640 NIL QUAT (NIL T) -8 NIL NIL NIL) (-988 2300867 2300910 2301037 "QUATCT2" 2301180 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-987 2294614 2297916 2297956 "QUATCAT" 2298736 NIL QUATCAT (NIL T) -9 NIL 2299502 NIL) (-986 2290758 2291795 2293182 "QUATCAT-" 2293276 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-985 2288278 2289842 2289883 "QUAGG" 2290258 NIL QUAGG (NIL T) -9 NIL 2290433 NIL) (-984 2287910 2288103 2288171 "QQUTAST" 2288230 T QQUTAST (NIL) -8 NIL NIL NIL) (-983 2286835 2287308 2287480 "QFORM" 2287782 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-982 2278047 2283252 2283292 "QFCAT" 2283950 NIL QFCAT (NIL T) -9 NIL 2284951 NIL) (-981 2273619 2274820 2276411 "QFCAT-" 2276505 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-980 2273257 2273300 2273427 "QFCAT2" 2273570 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-979 2272717 2272827 2272957 "QEQUAT" 2273147 T QEQUAT (NIL) -8 NIL NIL NIL) (-978 2265865 2266936 2268120 "QCMPACK" 2271650 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-977 2263441 2263862 2264290 "QALGSET" 2265520 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-976 2262686 2262860 2263092 "QALGSET2" 2263261 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-975 2261377 2261600 2261917 "PWFFINTB" 2262459 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-974 2259559 2259727 2260081 "PUSHVAR" 2261191 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-973 2255477 2256531 2256572 "PTRANFN" 2258456 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-972 2253879 2254170 2254492 "PTPACK" 2255188 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-971 2253511 2253568 2253677 "PTFUNC2" 2253816 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-970 2248038 2252383 2252424 "PTCAT" 2252720 NIL PTCAT (NIL T) -9 NIL 2252873 NIL) (-969 2247696 2247731 2247855 "PSQFR" 2247997 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-968 2246291 2246589 2246923 "PSEUDLIN" 2247394 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-967 2233061 2235425 2237749 "PSETPK" 2244051 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-966 2226105 2228819 2228915 "PSETCAT" 2231936 NIL PSETCAT (NIL T T T T) -9 NIL 2232750 NIL) (-965 2223941 2224575 2225396 "PSETCAT-" 2225401 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-964 2223290 2223455 2223483 "PSCURVE" 2223751 T PSCURVE (NIL) -9 NIL 2223918 NIL) (-963 2219646 2221128 2221193 "PSCAT" 2222037 NIL PSCAT (NIL T T T) -9 NIL 2222277 NIL) (-962 2218709 2218925 2219325 "PSCAT-" 2219330 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-961 2217441 2218074 2218279 "PRTITION" 2218524 T PRTITION (NIL) -8 NIL NIL NIL) (-960 2216943 2217162 2217254 "PRTDAST" 2217369 T PRTDAST (NIL) -8 NIL NIL NIL) (-959 2206041 2208247 2210435 "PRS" 2214805 NIL PRS (NIL T T) -7 NIL NIL NIL) (-958 2203899 2205391 2205431 "PRQAGG" 2205614 NIL PRQAGG (NIL T) -9 NIL 2205716 NIL) (-957 2203285 2203514 2203542 "PROPLOG" 2203727 T PROPLOG (NIL) -9 NIL 2203849 NIL) (-956 2200455 2201099 2201563 "PROPFRML" 2202853 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-955 2199915 2200025 2200155 "PROPERTY" 2200345 T PROPERTY (NIL) -8 NIL NIL NIL) (-954 2194000 2198081 2198901 "PRODUCT" 2199141 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-953 2191313 2193458 2193692 "PR" 2193811 NIL PR (NIL T T) -8 NIL NIL NIL) (-952 2191109 2191141 2191200 "PRINT" 2191274 T PRINT (NIL) -7 NIL NIL NIL) (-951 2190449 2190566 2190718 "PRIMES" 2190989 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-950 2188514 2188915 2189381 "PRIMELT" 2190028 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-949 2188243 2188292 2188320 "PRIMCAT" 2188444 T PRIMCAT (NIL) -9 NIL NIL NIL) (-948 2184404 2188181 2188226 "PRIMARR" 2188231 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-947 2183411 2183589 2183817 "PRIMARR2" 2184222 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-946 2183054 2183110 2183221 "PREASSOC" 2183349 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-945 2182529 2182662 2182690 "PPCURVE" 2182895 T PPCURVE (NIL) -9 NIL 2183031 NIL) (-944 2182151 2182324 2182407 "PORTNUM" 2182466 T PORTNUM (NIL) -8 NIL NIL NIL) (-943 2179510 2179909 2180501 "POLYROOT" 2181732 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-942 2173455 2179114 2179274 "POLY" 2179383 NIL POLY (NIL T) -8 NIL NIL NIL) (-941 2172838 2172896 2173130 "POLYLIFT" 2173391 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-940 2169113 2169562 2170191 "POLYCATQ" 2172383 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-939 2155930 2161288 2161353 "POLYCAT" 2164867 NIL POLYCAT (NIL T T T) -9 NIL 2166795 NIL) (-938 2149380 2151241 2153625 "POLYCAT-" 2153630 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-937 2148967 2149035 2149155 "POLY2UP" 2149306 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-936 2148599 2148656 2148765 "POLY2" 2148904 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-935 2147284 2147523 2147799 "POLUTIL" 2148373 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-934 2145639 2145916 2146247 "POLTOPOL" 2147006 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-933 2141157 2145575 2145621 "POINT" 2145626 NIL POINT (NIL T) -8 NIL NIL NIL) (-932 2139344 2139701 2140076 "PNTHEORY" 2140802 T PNTHEORY (NIL) -7 NIL NIL NIL) (-931 2137763 2138060 2138472 "PMTOOLS" 2139042 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-930 2137356 2137434 2137551 "PMSYM" 2137679 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-929 2136866 2136935 2137109 "PMQFCAT" 2137281 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-928 2136221 2136331 2136487 "PMPRED" 2136743 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-927 2135617 2135703 2135864 "PMPREDFS" 2136122 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-926 2134260 2134468 2134853 "PMPLCAT" 2135379 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-925 2133792 2133871 2134023 "PMLSAGG" 2134175 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-924 2133267 2133343 2133524 "PMKERNEL" 2133710 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-923 2132884 2132959 2133072 "PMINS" 2133186 NIL PMINS (NIL T) -7 NIL NIL NIL) (-922 2132312 2132381 2132597 "PMFS" 2132809 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-921 2131540 2131658 2131863 "PMDOWN" 2132189 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-920 2130703 2130862 2131044 "PMASS" 2131378 T PMASS (NIL) -7 NIL NIL NIL) (-919 2129977 2130088 2130251 "PMASSFS" 2130589 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-918 2129632 2129700 2129794 "PLOTTOOL" 2129903 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-917 2124254 2125443 2126591 "PLOT" 2128504 T PLOT (NIL) -8 NIL NIL NIL) (-916 2120068 2121102 2122023 "PLOT3D" 2123353 T PLOT3D (NIL) -8 NIL NIL NIL) (-915 2118980 2119157 2119392 "PLOT1" 2119872 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-914 2094374 2099046 2103897 "PLEQN" 2114246 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-913 2093692 2093814 2093994 "PINTERP" 2094239 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-912 2093385 2093432 2093535 "PINTERPA" 2093639 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-911 2092633 2093154 2093241 "PI" 2093281 T PI (NIL) -8 NIL NIL 2093348) (-910 2091030 2091971 2091999 "PID" 2092181 T PID (NIL) -9 NIL 2092315 NIL) (-909 2090755 2090792 2090880 "PICOERCE" 2090987 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-908 2090075 2090214 2090390 "PGROEB" 2090611 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-907 2085662 2086476 2087381 "PGE" 2089190 T PGE (NIL) -7 NIL NIL NIL) (-906 2083786 2084032 2084398 "PGCD" 2085379 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-905 2083124 2083227 2083388 "PFRPAC" 2083670 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-904 2079804 2081672 2082025 "PFR" 2082803 NIL PFR (NIL T) -8 NIL NIL NIL) (-903 2078193 2078437 2078762 "PFOTOOLS" 2079551 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-902 2076726 2076965 2077316 "PFOQ" 2077950 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-901 2075199 2075411 2075774 "PFO" 2076510 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-900 2071787 2075088 2075157 "PF" 2075162 NIL PF (NIL NIL) -8 NIL NIL NIL) (-899 2069221 2070458 2070486 "PFECAT" 2071071 T PFECAT (NIL) -9 NIL 2071455 NIL) (-898 2068666 2068820 2069034 "PFECAT-" 2069039 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-897 2067270 2067521 2067822 "PFBRU" 2068415 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-896 2065137 2065488 2065920 "PFBR" 2066921 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-895 2061053 2062513 2063189 "PERM" 2064494 NIL PERM (NIL T) -8 NIL NIL NIL) (-894 2056319 2057260 2058130 "PERMGRP" 2060216 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-893 2054451 2055382 2055423 "PERMCAT" 2055869 NIL PERMCAT (NIL T) -9 NIL 2056174 NIL) (-892 2054104 2054145 2054269 "PERMAN" 2054404 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-891 2051640 2053769 2053891 "PENDTREE" 2054015 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-890 2049733 2050467 2050508 "PDRING" 2051165 NIL PDRING (NIL T) -9 NIL 2051451 NIL) (-889 2048836 2049054 2049416 "PDRING-" 2049421 NIL PDRING- (NIL T T) -8 NIL NIL NIL) (-888 2046078 2046829 2047497 "PDEPROB" 2048188 T PDEPROB (NIL) -8 NIL NIL NIL) (-887 2043625 2044127 2044682 "PDEPACK" 2045543 T PDEPACK (NIL) -7 NIL NIL NIL) (-886 2042537 2042727 2042978 "PDECOMP" 2043424 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-885 2040142 2040959 2040987 "PDECAT" 2041774 T PDECAT (NIL) -9 NIL 2042487 NIL) (-884 2039893 2039926 2040016 "PCOMP" 2040103 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-883 2038098 2038694 2038991 "PBWLB" 2039622 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-882 2030603 2032171 2033509 "PATTERN" 2036781 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-881 2030235 2030292 2030401 "PATTERN2" 2030540 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-880 2027992 2028380 2028837 "PATTERN1" 2029824 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-879 2025387 2025941 2026422 "PATRES" 2027557 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-878 2024951 2025018 2025150 "PATRES2" 2025314 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-877 2022834 2023239 2023646 "PATMATCH" 2024618 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-876 2022370 2022553 2022594 "PATMAB" 2022701 NIL PATMAB (NIL T) -9 NIL 2022784 NIL) (-875 2020915 2021224 2021482 "PATLRES" 2022175 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-874 2020461 2020584 2020625 "PATAB" 2020630 NIL PATAB (NIL T) -9 NIL 2020802 NIL) (-873 2017942 2018474 2019047 "PARTPERM" 2019908 T PARTPERM (NIL) -7 NIL NIL NIL) (-872 2017563 2017626 2017728 "PARSURF" 2017873 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-871 2017195 2017252 2017361 "PARSU2" 2017500 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-870 2016959 2016999 2017066 "PARSER" 2017148 T PARSER (NIL) -7 NIL NIL NIL) (-869 2016580 2016643 2016745 "PARSCURV" 2016890 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-868 2016212 2016269 2016378 "PARSC2" 2016517 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-867 2015851 2015909 2016006 "PARPCURV" 2016148 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-866 2015483 2015540 2015649 "PARPC2" 2015788 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-865 2015003 2015089 2015208 "PAN2EXPR" 2015384 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-864 2013809 2014124 2014352 "PALETTE" 2014795 T PALETTE (NIL) -8 NIL NIL NIL) (-863 2012277 2012814 2013174 "PAIR" 2013495 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-862 2006183 2011536 2011730 "PADICRC" 2012132 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-861 1999447 2005529 2005713 "PADICRAT" 2006031 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-860 1997797 1999384 1999429 "PADIC" 1999434 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-859 1995007 1996537 1996577 "PADICCT" 1997158 NIL PADICCT (NIL NIL) -9 NIL 1997440 NIL) (-858 1993964 1994164 1994432 "PADEPAC" 1994794 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-857 1993176 1993309 1993515 "PADE" 1993826 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-856 1991598 1992384 1992664 "OWP" 1992980 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-855 1990671 1991203 1991375 "OVAR" 1991466 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-854 1989935 1990056 1990217 "OUT" 1990530 T OUT (NIL) -7 NIL NIL NIL) (-853 1978842 1981044 1983244 "OUTFORM" 1987755 T OUTFORM (NIL) -8 NIL NIL NIL) (-852 1978263 1978439 1978566 "OUTBFILE" 1978735 T OUTBFILE (NIL) -8 NIL NIL NIL) (-851 1977900 1977983 1978011 "OUTBCON" 1978162 T OUTBCON (NIL) -9 NIL 1978247 NIL) (-850 1977740 1977775 1977851 "OUTBCON-" 1977856 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-849 1977148 1977469 1977558 "OSI" 1977671 T OSI (NIL) -8 NIL NIL NIL) (-848 1976704 1977016 1977044 "OSGROUP" 1977049 T OSGROUP (NIL) -9 NIL 1977071 NIL) (-847 1975449 1975676 1975961 "ORTHPOL" 1976451 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-846 1973035 1975284 1975405 "OREUP" 1975410 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-845 1970473 1972726 1972853 "ORESUP" 1972977 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-844 1968001 1968501 1969062 "OREPCTO" 1969962 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-843 1961825 1963992 1964033 "OREPCAT" 1966381 NIL OREPCAT (NIL T) -9 NIL 1967485 NIL) (-842 1958972 1959754 1960812 "OREPCAT-" 1960817 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-841 1958149 1958421 1958449 "ORDSET" 1958758 T ORDSET (NIL) -9 NIL 1958922 NIL) (-840 1957668 1957790 1957983 "ORDSET-" 1957988 NIL ORDSET- (NIL T) -8 NIL NIL NIL) (-839 1956302 1957059 1957087 "ORDRING" 1957289 T ORDRING (NIL) -9 NIL 1957414 NIL) (-838 1955947 1956041 1956185 "ORDRING-" 1956190 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-837 1955353 1955790 1955818 "ORDMON" 1955823 T ORDMON (NIL) -9 NIL 1955844 NIL) (-836 1954515 1954662 1954857 "ORDFUNS" 1955202 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-835 1953879 1954272 1954300 "ORDFIN" 1954365 T ORDFIN (NIL) -9 NIL 1954439 NIL) (-834 1950471 1952465 1952874 "ORDCOMP" 1953503 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-833 1949737 1949864 1950050 "ORDCOMP2" 1950331 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-832 1946345 1947228 1948042 "OPTPROB" 1948943 T OPTPROB (NIL) -8 NIL NIL NIL) (-831 1943147 1943786 1944490 "OPTPACK" 1945661 T OPTPACK (NIL) -7 NIL NIL NIL) (-830 1940860 1941600 1941628 "OPTCAT" 1942447 T OPTCAT (NIL) -9 NIL 1943097 NIL) (-829 1940303 1940537 1940642 "OPSIG" 1940775 T OPSIG (NIL) -8 NIL NIL NIL) (-828 1940071 1940110 1940176 "OPQUERY" 1940257 T OPQUERY (NIL) -7 NIL NIL NIL) (-827 1937237 1938382 1938886 "OP" 1939600 NIL OP (NIL T) -8 NIL NIL NIL) (-826 1936772 1936943 1936984 "OPERCAT" 1937119 NIL OPERCAT (NIL T) -9 NIL 1937187 NIL) (-825 1936618 1936645 1936731 "OPERCAT-" 1936736 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-824 1933463 1935415 1935784 "ONECOMP" 1936282 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-823 1932768 1932883 1933057 "ONECOMP2" 1933335 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-822 1932187 1932293 1932423 "OMSERVER" 1932658 T OMSERVER (NIL) -7 NIL NIL NIL) (-821 1929075 1931627 1931667 "OMSAGG" 1931728 NIL OMSAGG (NIL T) -9 NIL 1931792 NIL) (-820 1927698 1927961 1928243 "OMPKG" 1928813 T OMPKG (NIL) -7 NIL NIL NIL) (-819 1927128 1927231 1927259 "OM" 1927558 T OM (NIL) -9 NIL NIL NIL) (-818 1925710 1926677 1926846 "OMLO" 1927009 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-817 1924635 1924782 1925009 "OMEXPR" 1925536 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-816 1923953 1924181 1924317 "OMERR" 1924519 T OMERR (NIL) -8 NIL NIL NIL) (-815 1923131 1923374 1923534 "OMERRK" 1923813 T OMERRK (NIL) -8 NIL NIL NIL) (-814 1922609 1922808 1922916 "OMENC" 1923043 T OMENC (NIL) -8 NIL NIL NIL) (-813 1916504 1917689 1918860 "OMDEV" 1921458 T OMDEV (NIL) -8 NIL NIL NIL) (-812 1915573 1915744 1915938 "OMCONN" 1916330 T OMCONN (NIL) -8 NIL NIL NIL) (-811 1914194 1915136 1915164 "OINTDOM" 1915169 T OINTDOM (NIL) -9 NIL 1915190 NIL) (-810 1910000 1911184 1911900 "OFMONOID" 1913510 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-809 1909438 1909937 1909982 "ODVAR" 1909987 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-808 1906896 1909183 1909338 "ODR" 1909343 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-807 1899240 1906672 1906798 "ODPOL" 1906803 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-806 1893116 1899112 1899217 "ODP" 1899222 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-805 1891882 1892097 1892372 "ODETOOLS" 1892890 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-804 1888851 1889507 1890223 "ODESYS" 1891215 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-803 1883733 1884641 1885666 "ODERTRIC" 1887926 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-802 1883159 1883241 1883435 "ODERED" 1883645 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-801 1880047 1880595 1881272 "ODERAT" 1882582 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-800 1877007 1877471 1878068 "ODEPRRIC" 1879576 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-799 1874977 1875546 1876032 "ODEPROB" 1876541 T ODEPROB (NIL) -8 NIL NIL NIL) (-798 1871499 1871982 1872629 "ODEPRIM" 1874456 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-797 1870748 1870850 1871110 "ODEPAL" 1871391 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-796 1866910 1867701 1868565 "ODEPACK" 1869904 T ODEPACK (NIL) -7 NIL NIL NIL) (-795 1865943 1866050 1866279 "ODEINT" 1866799 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-794 1860044 1861469 1862916 "ODEIFTBL" 1864516 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-793 1855379 1856165 1857124 "ODEEF" 1859203 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-792 1854714 1854803 1855033 "ODECONST" 1855284 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-791 1852865 1853500 1853528 "ODECAT" 1854133 T ODECAT (NIL) -9 NIL 1854664 NIL) (-790 1849772 1852577 1852696 "OCT" 1852778 NIL OCT (NIL T) -8 NIL NIL NIL) (-789 1849410 1849453 1849580 "OCTCT2" 1849723 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-788 1844184 1846584 1846624 "OC" 1847721 NIL OC (NIL T) -9 NIL 1848579 NIL) (-787 1841411 1842159 1843149 "OC-" 1843243 NIL OC- (NIL T T) -8 NIL NIL NIL) (-786 1840789 1841231 1841259 "OCAMON" 1841264 T OCAMON (NIL) -9 NIL 1841285 NIL) (-785 1840346 1840661 1840689 "OASGP" 1840694 T OASGP (NIL) -9 NIL 1840714 NIL) (-784 1839633 1840096 1840124 "OAMONS" 1840164 T OAMONS (NIL) -9 NIL 1840207 NIL) (-783 1839073 1839480 1839508 "OAMON" 1839513 T OAMON (NIL) -9 NIL 1839533 NIL) (-782 1838377 1838869 1838897 "OAGROUP" 1838902 T OAGROUP (NIL) -9 NIL 1838922 NIL) (-781 1838067 1838117 1838205 "NUMTUBE" 1838321 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-780 1831640 1833158 1834694 "NUMQUAD" 1836551 T NUMQUAD (NIL) -7 NIL NIL NIL) (-779 1827396 1828384 1829409 "NUMODE" 1830635 T NUMODE (NIL) -7 NIL NIL NIL) (-778 1824777 1825631 1825659 "NUMINT" 1826582 T NUMINT (NIL) -9 NIL 1827346 NIL) (-777 1823725 1823922 1824140 "NUMFMT" 1824579 T NUMFMT (NIL) -7 NIL NIL NIL) (-776 1810084 1813029 1815561 "NUMERIC" 1821232 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-775 1804481 1809533 1809628 "NTSCAT" 1809633 NIL NTSCAT (NIL T T T T) -9 NIL 1809672 NIL) (-774 1803675 1803840 1804033 "NTPOLFN" 1804320 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-773 1791515 1800500 1801312 "NSUP" 1802896 NIL NSUP (NIL T) -8 NIL NIL NIL) (-772 1791147 1791204 1791313 "NSUP2" 1791452 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-771 1781144 1790921 1791054 "NSMP" 1791059 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-770 1779576 1779877 1780234 "NREP" 1780832 NIL NREP (NIL T) -7 NIL NIL NIL) (-769 1778167 1778419 1778777 "NPCOEF" 1779319 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-768 1777233 1777348 1777564 "NORMRETR" 1778048 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-767 1775274 1775564 1775973 "NORMPK" 1776941 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-766 1774959 1774987 1775111 "NORMMA" 1775240 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-765 1774786 1774916 1774945 "NONE" 1774950 T NONE (NIL) -8 NIL NIL NIL) (-764 1774575 1774604 1774673 "NONE1" 1774750 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-763 1774058 1774120 1774306 "NODE1" 1774507 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-762 1772329 1773152 1773407 "NNI" 1773754 T NNI (NIL) -8 NIL NIL 1773989) (-761 1770749 1771062 1771426 "NLINSOL" 1771997 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-760 1767017 1767985 1768884 "NIPROB" 1769870 T NIPROB (NIL) -8 NIL NIL NIL) (-759 1765774 1766008 1766310 "NFINTBAS" 1766779 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-758 1765218 1765425 1765466 "NETCLT" 1765630 NIL NETCLT (NIL T) -9 NIL 1765719 NIL) (-757 1763926 1764157 1764438 "NCODIV" 1764986 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-756 1763688 1763725 1763800 "NCNTFRAC" 1763883 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-755 1761868 1762232 1762652 "NCEP" 1763313 NIL NCEP (NIL T) -7 NIL NIL NIL) (-754 1760779 1761518 1761546 "NASRING" 1761656 T NASRING (NIL) -9 NIL 1761730 NIL) (-753 1760574 1760618 1760712 "NASRING-" 1760717 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-752 1759727 1760226 1760254 "NARNG" 1760371 T NARNG (NIL) -9 NIL 1760462 NIL) (-751 1759419 1759486 1759620 "NARNG-" 1759625 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-750 1758298 1758505 1758740 "NAGSP" 1759204 T NAGSP (NIL) -7 NIL NIL NIL) (-749 1749570 1751254 1752927 "NAGS" 1756645 T NAGS (NIL) -7 NIL NIL NIL) (-748 1748118 1748426 1748757 "NAGF07" 1749259 T NAGF07 (NIL) -7 NIL NIL NIL) (-747 1742656 1743947 1745254 "NAGF04" 1746831 T NAGF04 (NIL) -7 NIL NIL NIL) (-746 1735624 1737238 1738871 "NAGF02" 1741043 T NAGF02 (NIL) -7 NIL NIL NIL) (-745 1730848 1731948 1733065 "NAGF01" 1734527 T NAGF01 (NIL) -7 NIL NIL NIL) (-744 1724476 1726042 1727627 "NAGE04" 1729283 T NAGE04 (NIL) -7 NIL NIL NIL) (-743 1715645 1717766 1719896 "NAGE02" 1722366 T NAGE02 (NIL) -7 NIL NIL NIL) (-742 1711598 1712545 1713509 "NAGE01" 1714701 T NAGE01 (NIL) -7 NIL NIL NIL) (-741 1709393 1709927 1710485 "NAGD03" 1711060 T NAGD03 (NIL) -7 NIL NIL NIL) (-740 1701143 1703071 1705025 "NAGD02" 1707459 T NAGD02 (NIL) -7 NIL NIL NIL) (-739 1694954 1696379 1697819 "NAGD01" 1699723 T NAGD01 (NIL) -7 NIL NIL NIL) (-738 1691163 1691985 1692822 "NAGC06" 1694137 T NAGC06 (NIL) -7 NIL NIL NIL) (-737 1689628 1689960 1690316 "NAGC05" 1690827 T NAGC05 (NIL) -7 NIL NIL NIL) (-736 1689004 1689123 1689267 "NAGC02" 1689504 T NAGC02 (NIL) -7 NIL NIL NIL) (-735 1688064 1688621 1688661 "NAALG" 1688740 NIL NAALG (NIL T) -9 NIL 1688801 NIL) (-734 1687899 1687928 1688018 "NAALG-" 1688023 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-733 1681849 1682957 1684144 "MULTSQFR" 1686795 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-732 1681168 1681243 1681427 "MULTFACT" 1681761 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-731 1674261 1678131 1678184 "MTSCAT" 1679254 NIL MTSCAT (NIL T T) -9 NIL 1679768 NIL) (-730 1673973 1674027 1674119 "MTHING" 1674201 NIL MTHING (NIL T) -7 NIL NIL NIL) (-729 1673765 1673798 1673858 "MSYSCMD" 1673933 T MSYSCMD (NIL) -7 NIL NIL NIL) (-728 1669877 1672520 1672840 "MSET" 1673478 NIL MSET (NIL T) -8 NIL NIL NIL) (-727 1666972 1669438 1669479 "MSETAGG" 1669484 NIL MSETAGG (NIL T) -9 NIL 1669518 NIL) (-726 1662855 1664351 1665096 "MRING" 1666272 NIL MRING (NIL T T) -8 NIL NIL NIL) (-725 1662421 1662488 1662619 "MRF2" 1662782 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-724 1662039 1662074 1662218 "MRATFAC" 1662380 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-723 1659651 1659946 1660377 "MPRFF" 1661744 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-722 1653711 1659505 1659602 "MPOLY" 1659607 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-721 1653201 1653236 1653444 "MPCPF" 1653670 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-720 1652715 1652758 1652942 "MPC3" 1653152 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-719 1651910 1651991 1652212 "MPC2" 1652630 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-718 1650211 1650548 1650938 "MONOTOOL" 1651570 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-717 1649462 1649753 1649781 "MONOID" 1650000 T MONOID (NIL) -9 NIL 1650147 NIL) (-716 1649008 1649127 1649308 "MONOID-" 1649313 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-715 1639867 1645775 1645834 "MONOGEN" 1646508 NIL MONOGEN (NIL T T) -9 NIL 1646964 NIL) (-714 1637085 1637820 1638820 "MONOGEN-" 1638939 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-713 1635944 1636364 1636392 "MONADWU" 1636784 T MONADWU (NIL) -9 NIL 1637022 NIL) (-712 1635316 1635475 1635723 "MONADWU-" 1635728 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-711 1634701 1634919 1634947 "MONAD" 1635154 T MONAD (NIL) -9 NIL 1635266 NIL) (-710 1634386 1634464 1634596 "MONAD-" 1634601 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-709 1632702 1633299 1633578 "MOEBIUS" 1634139 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-708 1632094 1632472 1632512 "MODULE" 1632517 NIL MODULE (NIL T) -9 NIL 1632543 NIL) (-707 1631662 1631758 1631948 "MODULE-" 1631953 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-706 1629377 1630026 1630353 "MODRING" 1631486 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-705 1626363 1627482 1628003 "MODOP" 1628906 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-704 1624978 1625430 1625707 "MODMONOM" 1626226 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-703 1614785 1623269 1623683 "MODMON" 1624615 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-702 1611976 1613629 1613905 "MODFIELD" 1614660 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-701 1610980 1611257 1611447 "MMLFORM" 1611806 T MMLFORM (NIL) -8 NIL NIL NIL) (-700 1610506 1610549 1610728 "MMAP" 1610931 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-699 1608723 1609456 1609497 "MLO" 1609920 NIL MLO (NIL T) -9 NIL 1610162 NIL) (-698 1606090 1606605 1607207 "MLIFT" 1608204 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-697 1605481 1605565 1605719 "MKUCFUNC" 1606001 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-696 1605080 1605150 1605273 "MKRECORD" 1605404 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-695 1604128 1604289 1604517 "MKFUNC" 1604891 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-694 1603516 1603620 1603776 "MKFLCFN" 1604011 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-693 1603059 1603426 1603485 "MKCHSET" 1603490 NIL MKCHSET (NIL T) -8 NIL NIL NIL) (-692 1602336 1602438 1602623 "MKBCFUNC" 1602952 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-691 1599078 1601890 1602026 "MINT" 1602220 T MINT (NIL) -8 NIL NIL NIL) (-690 1597890 1598133 1598410 "MHROWRED" 1598833 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-689 1593316 1596425 1596830 "MFLOAT" 1597505 T MFLOAT (NIL) -8 NIL NIL NIL) (-688 1592673 1592749 1592920 "MFINFACT" 1593228 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-687 1588988 1589836 1590720 "MESH" 1591809 T MESH (NIL) -7 NIL NIL NIL) (-686 1587378 1587690 1588043 "MDDFACT" 1588675 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-685 1584220 1586537 1586578 "MDAGG" 1586833 NIL MDAGG (NIL T) -9 NIL 1586976 NIL) (-684 1573998 1583513 1583720 "MCMPLX" 1584033 T MCMPLX (NIL) -8 NIL NIL NIL) (-683 1573139 1573285 1573485 "MCDEN" 1573847 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-682 1571029 1571299 1571679 "MCALCFN" 1572869 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-681 1569954 1570194 1570427 "MAYBE" 1570835 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-680 1567566 1568089 1568651 "MATSTOR" 1569425 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-679 1563572 1566938 1567186 "MATRIX" 1567351 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-678 1559341 1560045 1560781 "MATLIN" 1562929 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-677 1549495 1552633 1552710 "MATCAT" 1557590 NIL MATCAT (NIL T T T) -9 NIL 1559007 NIL) (-676 1545859 1546872 1548228 "MATCAT-" 1548233 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-675 1544453 1544606 1544939 "MATCAT2" 1545694 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-674 1542565 1542889 1543273 "MAPPKG3" 1544128 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-673 1541546 1541719 1541941 "MAPPKG2" 1542389 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-672 1540045 1540329 1540656 "MAPPKG1" 1541252 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-671 1539151 1539451 1539628 "MAPPAST" 1539888 T MAPPAST (NIL) -8 NIL NIL NIL) (-670 1538762 1538820 1538943 "MAPHACK3" 1539087 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-669 1538354 1538415 1538529 "MAPHACK2" 1538694 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-668 1537792 1537895 1538037 "MAPHACK1" 1538245 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-667 1535898 1536492 1536796 "MAGMA" 1537520 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-666 1535404 1535622 1535713 "MACROAST" 1535827 T MACROAST (NIL) -8 NIL NIL NIL) (-665 1531871 1533643 1534104 "M3D" 1534976 NIL M3D (NIL T) -8 NIL NIL NIL) (-664 1526025 1530240 1530281 "LZSTAGG" 1531063 NIL LZSTAGG (NIL T) -9 NIL 1531358 NIL) (-663 1521999 1523156 1524613 "LZSTAGG-" 1524618 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-662 1519113 1519890 1520377 "LWORD" 1521544 NIL LWORD (NIL T) -8 NIL NIL NIL) (-661 1518716 1518917 1518992 "LSTAST" 1519058 T LSTAST (NIL) -8 NIL NIL NIL) (-660 1511917 1518487 1518621 "LSQM" 1518626 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-659 1511141 1511280 1511508 "LSPP" 1511772 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-658 1508953 1509254 1509710 "LSMP" 1510830 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-657 1505732 1506406 1507136 "LSMP1" 1508255 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-656 1499657 1504899 1504940 "LSAGG" 1505002 NIL LSAGG (NIL T) -9 NIL 1505080 NIL) (-655 1496352 1497276 1498489 "LSAGG-" 1498494 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-654 1493978 1495496 1495745 "LPOLY" 1496147 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-653 1493560 1493645 1493768 "LPEFRAC" 1493887 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-652 1491907 1492654 1492907 "LO" 1493392 NIL LO (NIL T T T) -8 NIL NIL NIL) (-651 1491559 1491671 1491699 "LOGIC" 1491810 T LOGIC (NIL) -9 NIL 1491891 NIL) (-650 1491421 1491444 1491515 "LOGIC-" 1491520 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-649 1490614 1490754 1490947 "LODOOPS" 1491277 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-648 1488072 1490530 1490596 "LODO" 1490601 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-647 1486610 1486845 1487198 "LODOF" 1487819 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-646 1482966 1485363 1485404 "LODOCAT" 1485842 NIL LODOCAT (NIL T) -9 NIL 1486053 NIL) (-645 1482699 1482757 1482884 "LODOCAT-" 1482889 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-644 1480054 1482540 1482658 "LODO2" 1482663 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-643 1477524 1479991 1480036 "LODO1" 1480041 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-642 1476384 1476549 1476861 "LODEEF" 1477347 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-641 1471670 1474514 1474555 "LNAGG" 1475502 NIL LNAGG (NIL T) -9 NIL 1475946 NIL) (-640 1470817 1471031 1471373 "LNAGG-" 1471378 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-639 1466980 1467742 1468381 "LMOPS" 1470232 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-638 1466375 1466737 1466778 "LMODULE" 1466839 NIL LMODULE (NIL T) -9 NIL 1466881 NIL) (-637 1463621 1466020 1466143 "LMDICT" 1466285 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-636 1463347 1463529 1463589 "LITERAL" 1463594 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-635 1456574 1462293 1462591 "LIST" 1463082 NIL LIST (NIL T) -8 NIL NIL NIL) (-634 1456099 1456173 1456312 "LIST3" 1456494 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-633 1455106 1455284 1455512 "LIST2" 1455917 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-632 1453240 1453552 1453951 "LIST2MAP" 1454753 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-631 1451970 1452606 1452647 "LINEXP" 1452902 NIL LINEXP (NIL T) -9 NIL 1453051 NIL) (-630 1450617 1450877 1451174 "LINDEP" 1451722 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-629 1447384 1448103 1448880 "LIMITRF" 1449872 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-628 1445660 1445955 1446371 "LIMITPS" 1447079 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-627 1440115 1445171 1445399 "LIE" 1445481 NIL LIE (NIL T T) -8 NIL NIL NIL) (-626 1439164 1439607 1439647 "LIECAT" 1439787 NIL LIECAT (NIL T) -9 NIL 1439938 NIL) (-625 1439005 1439032 1439120 "LIECAT-" 1439125 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-624 1431617 1438454 1438619 "LIB" 1438860 T LIB (NIL) -8 NIL NIL NIL) (-623 1427254 1428135 1429070 "LGROBP" 1430734 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-622 1425120 1425394 1425756 "LF" 1426975 NIL LF (NIL T T) -7 NIL NIL NIL) (-621 1423960 1424652 1424680 "LFCAT" 1424887 T LFCAT (NIL) -9 NIL 1425026 NIL) (-620 1420864 1421492 1422180 "LEXTRIPK" 1423324 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-619 1417635 1418434 1418937 "LEXP" 1420444 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-618 1417138 1417356 1417448 "LETAST" 1417563 T LETAST (NIL) -8 NIL NIL NIL) (-617 1415536 1415849 1416250 "LEADCDET" 1416820 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-616 1414726 1414800 1415029 "LAZM3PK" 1415457 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-615 1409681 1412803 1413341 "LAUPOL" 1414238 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-614 1409246 1409290 1409458 "LAPLACE" 1409631 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-613 1407220 1408347 1408598 "LA" 1409079 NIL LA (NIL T T T) -8 NIL NIL NIL) (-612 1406301 1406851 1406892 "LALG" 1406954 NIL LALG (NIL T) -9 NIL 1407013 NIL) (-611 1406015 1406074 1406210 "LALG-" 1406215 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-610 1405850 1405874 1405915 "KVTFROM" 1405977 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-609 1404650 1405067 1405296 "KTVLOGIC" 1405641 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-608 1404485 1404509 1404550 "KRCFROM" 1404612 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-607 1403389 1403576 1403875 "KOVACIC" 1404285 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-606 1403224 1403248 1403289 "KONVERT" 1403351 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-605 1403059 1403083 1403124 "KOERCE" 1403186 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-604 1400793 1401553 1401946 "KERNEL" 1402698 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-603 1400295 1400376 1400506 "KERNEL2" 1400707 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-602 1394146 1398834 1398888 "KDAGG" 1399265 NIL KDAGG (NIL T T) -9 NIL 1399471 NIL) (-601 1393675 1393799 1394004 "KDAGG-" 1394009 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-600 1386850 1393336 1393491 "KAFILE" 1393553 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-599 1381305 1386361 1386589 "JORDAN" 1386671 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-598 1380711 1380954 1381075 "JOINAST" 1381204 T JOINAST (NIL) -8 NIL NIL NIL) (-597 1380557 1380616 1380671 "JAVACODE" 1380676 T JAVACODE (NIL) -8 NIL NIL NIL) (-596 1376856 1378762 1378816 "IXAGG" 1379745 NIL IXAGG (NIL T T) -9 NIL 1380204 NIL) (-595 1375775 1376081 1376500 "IXAGG-" 1376505 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-594 1371355 1375697 1375756 "IVECTOR" 1375761 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-593 1370121 1370358 1370624 "ITUPLE" 1371122 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-592 1368557 1368734 1369040 "ITRIGMNP" 1369943 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-591 1367302 1367506 1367789 "ITFUN3" 1368333 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-590 1366934 1366991 1367100 "ITFUN2" 1367239 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-589 1364771 1365796 1366095 "ITAYLOR" 1366668 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-588 1353754 1358908 1360071 "ISUPS" 1363641 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-587 1352858 1352998 1353234 "ISUMP" 1353601 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-586 1348122 1352659 1352738 "ISTRING" 1352811 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-585 1347625 1347843 1347935 "ISAST" 1348050 T ISAST (NIL) -8 NIL NIL NIL) (-584 1346835 1346916 1347132 "IRURPK" 1347539 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-583 1345771 1345972 1346212 "IRSN" 1346615 T IRSN (NIL) -7 NIL NIL NIL) (-582 1343800 1344155 1344591 "IRRF2F" 1345409 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-581 1343547 1343585 1343661 "IRREDFFX" 1343756 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-580 1342162 1342421 1342720 "IROOT" 1343280 NIL IROOT (NIL T) -7 NIL NIL NIL) (-579 1338794 1339846 1340538 "IR" 1341502 NIL IR (NIL T) -8 NIL NIL NIL) (-578 1336407 1336902 1337468 "IR2" 1338272 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-577 1335479 1335592 1335813 "IR2F" 1336290 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-576 1335270 1335304 1335364 "IPRNTPK" 1335439 T IPRNTPK (NIL) -7 NIL NIL NIL) (-575 1331889 1335159 1335228 "IPF" 1335233 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-574 1330252 1331814 1331871 "IPADIC" 1331876 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-573 1329583 1329810 1329947 "IP4ADDR" 1330135 T IP4ADDR (NIL) -8 NIL NIL NIL) (-572 1329083 1329287 1329397 "IOMODE" 1329493 T IOMODE (NIL) -8 NIL NIL NIL) (-571 1328441 1328680 1328807 "IOBFILE" 1328976 T IOBFILE (NIL) -8 NIL NIL NIL) (-570 1328205 1328345 1328373 "IOBCON" 1328378 T IOBCON (NIL) -9 NIL 1328399 NIL) (-569 1327702 1327760 1327950 "INVLAPLA" 1328141 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-568 1317351 1319704 1322090 "INTTR" 1325366 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-567 1313695 1314437 1315301 "INTTOOLS" 1316536 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-566 1313281 1313372 1313489 "INTSLPE" 1313598 T INTSLPE (NIL) -7 NIL NIL NIL) (-565 1311276 1313204 1313263 "INTRVL" 1313268 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-564 1308878 1309390 1309965 "INTRF" 1310761 NIL INTRF (NIL T) -7 NIL NIL NIL) (-563 1308289 1308386 1308528 "INTRET" 1308776 NIL INTRET (NIL T) -7 NIL NIL NIL) (-562 1306286 1306675 1307145 "INTRAT" 1307897 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-561 1303514 1304097 1304723 "INTPM" 1305771 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-560 1300217 1300816 1301561 "INTPAF" 1302900 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-559 1295396 1296358 1297409 "INTPACK" 1299186 T INTPACK (NIL) -7 NIL NIL NIL) (-558 1292308 1295125 1295252 "INT" 1295289 T INT (NIL) -8 NIL NIL NIL) (-557 1291560 1291712 1291920 "INTHERTR" 1292150 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-556 1290999 1291079 1291267 "INTHERAL" 1291474 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-555 1288845 1289288 1289745 "INTHEORY" 1290562 T INTHEORY (NIL) -7 NIL NIL NIL) (-554 1280153 1281774 1283553 "INTG0" 1287197 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-553 1260726 1265516 1270326 "INTFTBL" 1275363 T INTFTBL (NIL) -8 NIL NIL NIL) (-552 1259975 1260113 1260286 "INTFACT" 1260585 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-551 1257360 1257806 1258370 "INTEF" 1259529 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-550 1255827 1256532 1256560 "INTDOM" 1256861 T INTDOM (NIL) -9 NIL 1257068 NIL) (-549 1255196 1255370 1255612 "INTDOM-" 1255617 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-548 1251691 1253580 1253634 "INTCAT" 1254433 NIL INTCAT (NIL T) -9 NIL 1254753 NIL) (-547 1251164 1251266 1251394 "INTBIT" 1251583 T INTBIT (NIL) -7 NIL NIL NIL) (-546 1249835 1249989 1250303 "INTALG" 1251009 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-545 1249292 1249382 1249552 "INTAF" 1249739 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-544 1242746 1249102 1249242 "INTABL" 1249247 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-543 1237761 1240435 1240463 "INS" 1241397 T INS (NIL) -9 NIL 1242062 NIL) (-542 1235001 1235772 1236746 "INS-" 1236819 NIL INS- (NIL T) -8 NIL NIL NIL) (-541 1233776 1234003 1234301 "INPSIGN" 1234754 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-540 1232894 1233011 1233208 "INPRODPF" 1233656 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-539 1231788 1231905 1232142 "INPRODFF" 1232774 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-538 1230788 1230940 1231200 "INNMFACT" 1231624 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-537 1229985 1230082 1230270 "INMODGCD" 1230687 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-536 1228494 1228738 1229062 "INFSP" 1229730 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-535 1227678 1227795 1227978 "INFPROD0" 1228374 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-534 1224560 1225743 1226258 "INFORM" 1227171 T INFORM (NIL) -8 NIL NIL NIL) (-533 1224170 1224230 1224328 "INFORM1" 1224495 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-532 1223693 1223782 1223896 "INFINITY" 1224076 T INFINITY (NIL) -7 NIL NIL NIL) (-531 1223138 1223411 1223519 "INETCLTS" 1223605 T INETCLTS (NIL) -8 NIL NIL NIL) (-530 1221755 1222004 1222325 "INEP" 1222886 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-529 1221031 1221652 1221717 "INDE" 1221722 NIL INDE (NIL T) -8 NIL NIL NIL) (-528 1220595 1220663 1220780 "INCRMAPS" 1220958 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-527 1219613 1219864 1220070 "INBFILE" 1220409 T INBFILE (NIL) -8 NIL NIL NIL) (-526 1214924 1215849 1216793 "INBFF" 1218701 NIL INBFF (NIL T) -7 NIL NIL NIL) (-525 1214593 1214669 1214697 "INBCON" 1214830 T INBCON (NIL) -9 NIL 1214908 NIL) (-524 1214433 1214468 1214544 "INBCON-" 1214549 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-523 1213935 1214154 1214246 "INAST" 1214361 T INAST (NIL) -8 NIL NIL NIL) (-522 1213389 1213614 1213720 "IMPTAST" 1213849 T IMPTAST (NIL) -8 NIL NIL NIL) (-521 1209883 1213233 1213337 "IMATRIX" 1213342 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-520 1208595 1208718 1209033 "IMATQF" 1209739 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-519 1206815 1207042 1207379 "IMATLIN" 1208351 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-518 1201441 1206739 1206797 "ILIST" 1206802 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-517 1199394 1201301 1201414 "IIARRAY2" 1201419 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-516 1194827 1199305 1199369 "IFF" 1199374 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-515 1194201 1194444 1194560 "IFAST" 1194731 T IFAST (NIL) -8 NIL NIL NIL) (-514 1189244 1193493 1193681 "IFARRAY" 1194058 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-513 1188451 1189148 1189221 "IFAMON" 1189226 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-512 1188035 1188100 1188154 "IEVALAB" 1188361 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-511 1187710 1187778 1187938 "IEVALAB-" 1187943 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-510 1187368 1187624 1187687 "IDPO" 1187692 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-509 1186645 1187257 1187332 "IDPOAMS" 1187337 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-508 1185979 1186534 1186609 "IDPOAM" 1186614 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-507 1185064 1185314 1185367 "IDPC" 1185780 NIL IDPC (NIL T T) -9 NIL 1185929 NIL) (-506 1184560 1184956 1185029 "IDPAM" 1185034 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-505 1183963 1184452 1184525 "IDPAG" 1184530 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-504 1183731 1183878 1183928 "IDENT" 1183933 T IDENT (NIL) -8 NIL NIL NIL) (-503 1179986 1180834 1181729 "IDECOMP" 1182888 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-502 1172860 1173909 1174956 "IDEAL" 1179022 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-501 1172024 1172136 1172335 "ICDEN" 1172744 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-500 1171123 1171504 1171651 "ICARD" 1171897 T ICARD (NIL) -8 NIL NIL NIL) (-499 1169183 1169496 1169901 "IBPTOOLS" 1170800 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-498 1164817 1168803 1168916 "IBITS" 1169102 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-497 1161540 1162116 1162811 "IBATOOL" 1164234 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-496 1159320 1159781 1160314 "IBACHIN" 1161075 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-495 1157197 1159166 1159269 "IARRAY2" 1159274 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-494 1153350 1157123 1157180 "IARRAY1" 1157185 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-493 1147344 1151762 1152243 "IAN" 1152889 T IAN (NIL) -8 NIL NIL NIL) (-492 1146855 1146912 1147085 "IALGFACT" 1147281 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-491 1146383 1146496 1146524 "HYPCAT" 1146731 T HYPCAT (NIL) -9 NIL NIL NIL) (-490 1145921 1146038 1146224 "HYPCAT-" 1146229 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-489 1145543 1145716 1145799 "HOSTNAME" 1145858 T HOSTNAME (NIL) -8 NIL NIL NIL) (-488 1145388 1145425 1145466 "HOMOTOP" 1145471 NIL HOMOTOP (NIL T) -9 NIL 1145504 NIL) (-487 1142067 1143398 1143439 "HOAGG" 1144420 NIL HOAGG (NIL T) -9 NIL 1145099 NIL) (-486 1140661 1141060 1141586 "HOAGG-" 1141591 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-485 1134703 1140258 1140406 "HEXADEC" 1140533 T HEXADEC (NIL) -8 NIL NIL NIL) (-484 1133451 1133673 1133936 "HEUGCD" 1134480 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-483 1132554 1133288 1133418 "HELLFDIV" 1133423 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-482 1130782 1132331 1132419 "HEAP" 1132498 NIL HEAP (NIL T) -8 NIL NIL NIL) (-481 1130073 1130334 1130468 "HEADAST" 1130668 T HEADAST (NIL) -8 NIL NIL NIL) (-480 1123993 1129988 1130050 "HDP" 1130055 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-479 1117744 1123628 1123780 "HDMP" 1123894 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-478 1117069 1117208 1117372 "HB" 1117600 T HB (NIL) -7 NIL NIL NIL) (-477 1110566 1116915 1117019 "HASHTBL" 1117024 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-476 1110069 1110287 1110379 "HASAST" 1110494 T HASAST (NIL) -8 NIL NIL NIL) (-475 1107881 1109691 1109873 "HACKPI" 1109907 T HACKPI (NIL) -8 NIL NIL NIL) (-474 1103576 1107734 1107847 "GTSET" 1107852 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-473 1097102 1103454 1103552 "GSTBL" 1103557 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-472 1089415 1096133 1096398 "GSERIES" 1096893 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-471 1088582 1088973 1089001 "GROUP" 1089204 T GROUP (NIL) -9 NIL 1089338 NIL) (-470 1087948 1088107 1088358 "GROUP-" 1088363 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-469 1086317 1086636 1087023 "GROEBSOL" 1087625 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-468 1085257 1085519 1085570 "GRMOD" 1086099 NIL GRMOD (NIL T T) -9 NIL 1086267 NIL) (-467 1085025 1085061 1085189 "GRMOD-" 1085194 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-466 1080351 1081379 1082379 "GRIMAGE" 1084045 T GRIMAGE (NIL) -8 NIL NIL NIL) (-465 1078818 1079078 1079402 "GRDEF" 1080047 T GRDEF (NIL) -7 NIL NIL NIL) (-464 1078262 1078378 1078519 "GRAY" 1078697 T GRAY (NIL) -7 NIL NIL NIL) (-463 1077475 1077855 1077906 "GRALG" 1078059 NIL GRALG (NIL T T) -9 NIL 1078152 NIL) (-462 1077136 1077209 1077372 "GRALG-" 1077377 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-461 1073940 1076721 1076899 "GPOLSET" 1077043 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-460 1073294 1073351 1073609 "GOSPER" 1073877 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-459 1069053 1069732 1070258 "GMODPOL" 1072993 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-458 1068058 1068242 1068480 "GHENSEL" 1068865 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-457 1062109 1062952 1063979 "GENUPS" 1067142 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-456 1061806 1061857 1061946 "GENUFACT" 1062052 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-455 1061218 1061295 1061460 "GENPGCD" 1061724 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-454 1060692 1060727 1060940 "GENMFACT" 1061177 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-453 1059260 1059515 1059822 "GENEEZ" 1060435 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-452 1053173 1058871 1059033 "GDMP" 1059183 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-451 1042550 1046944 1048050 "GCNAALG" 1052156 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-450 1040977 1041805 1041833 "GCDDOM" 1042088 T GCDDOM (NIL) -9 NIL 1042245 NIL) (-449 1040447 1040574 1040789 "GCDDOM-" 1040794 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-448 1039119 1039304 1039608 "GB" 1040226 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-447 1027739 1030065 1032457 "GBINTERN" 1036810 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-446 1025576 1025868 1026289 "GBF" 1027414 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-445 1024357 1024522 1024789 "GBEUCLID" 1025392 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-444 1023706 1023831 1023980 "GAUSSFAC" 1024228 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-443 1022073 1022375 1022689 "GALUTIL" 1023425 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-442 1020381 1020655 1020979 "GALPOLYU" 1021800 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-441 1017746 1018036 1018443 "GALFACTU" 1020078 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-440 1009552 1011051 1012659 "GALFACT" 1016178 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-439 1006940 1007598 1007626 "FVFUN" 1008782 T FVFUN (NIL) -9 NIL 1009502 NIL) (-438 1006206 1006388 1006416 "FVC" 1006707 T FVC (NIL) -9 NIL 1006890 NIL) (-437 1005848 1006003 1006084 "FUNCTION" 1006158 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-436 1003619 1004170 1004636 "FT" 1005402 T FT (NIL) -8 NIL NIL NIL) (-435 1002437 1002920 1003123 "FTEM" 1003436 T FTEM (NIL) -8 NIL NIL NIL) (-434 1000693 1000982 1001386 "FSUPFACT" 1002128 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-433 999090 999379 999711 "FST" 1000381 T FST (NIL) -8 NIL NIL NIL) (-432 998261 998367 998562 "FSRED" 998972 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-431 996940 997195 997549 "FSPRMELT" 997976 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-430 994025 994463 994962 "FSPECF" 996503 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-429 976085 984528 984568 "FS" 988416 NIL FS (NIL T) -9 NIL 990705 NIL) (-428 964735 967725 971781 "FS-" 972078 NIL FS- (NIL T T) -8 NIL NIL NIL) (-427 964249 964303 964480 "FSINT" 964676 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-426 962576 963242 963545 "FSERIES" 964028 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-425 961590 961706 961937 "FSCINT" 962456 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-424 957824 960534 960575 "FSAGG" 960945 NIL FSAGG (NIL T) -9 NIL 961204 NIL) (-423 955586 956187 956983 "FSAGG-" 957078 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-422 954628 954771 954998 "FSAGG2" 955439 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-421 952283 952562 953116 "FS2UPS" 954346 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-420 951865 951908 952063 "FS2" 952234 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-419 950722 950893 951202 "FS2EXPXP" 951690 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-418 950148 950263 950415 "FRUTIL" 950602 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-417 941603 945643 947001 "FR" 948822 NIL FR (NIL T) -8 NIL NIL NIL) (-416 936678 939321 939361 "FRNAALG" 940757 NIL FRNAALG (NIL T) -9 NIL 941364 NIL) (-415 932356 933427 934702 "FRNAALG-" 935452 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-414 931994 932037 932164 "FRNAAF2" 932307 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-413 930401 930848 931143 "FRMOD" 931806 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-412 928180 928784 929101 "FRIDEAL" 930192 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-411 927375 927462 927751 "FRIDEAL2" 928087 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-410 926508 926922 926963 "FRETRCT" 926968 NIL FRETRCT (NIL T) -9 NIL 927144 NIL) (-409 925620 925851 926202 "FRETRCT-" 926207 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-408 922832 924008 924067 "FRAMALG" 924949 NIL FRAMALG (NIL T T) -9 NIL 925241 NIL) (-407 920966 921421 922051 "FRAMALG-" 922274 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-406 914924 920441 920717 "FRAC" 920722 NIL FRAC (NIL T) -8 NIL NIL NIL) (-405 914560 914617 914724 "FRAC2" 914861 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-404 914196 914253 914360 "FR2" 914497 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-403 908869 911721 911749 "FPS" 912868 T FPS (NIL) -9 NIL 913425 NIL) (-402 908318 908427 908591 "FPS-" 908737 NIL FPS- (NIL T) -8 NIL NIL NIL) (-401 905772 907407 907435 "FPC" 907660 T FPC (NIL) -9 NIL 907802 NIL) (-400 905565 905605 905702 "FPC-" 905707 NIL FPC- (NIL T) -8 NIL NIL NIL) (-399 904443 905053 905094 "FPATMAB" 905099 NIL FPATMAB (NIL T) -9 NIL 905251 NIL) (-398 902143 902619 903045 "FPARFRAC" 904080 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-397 897537 898035 898717 "FORTRAN" 901575 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-396 895253 895753 896292 "FORT" 897018 T FORT (NIL) -7 NIL NIL NIL) (-395 892929 893491 893519 "FORTFN" 894579 T FORTFN (NIL) -9 NIL 895203 NIL) (-394 892693 892743 892771 "FORTCAT" 892830 T FORTCAT (NIL) -9 NIL 892892 NIL) (-393 890826 891309 891699 "FORMULA" 892323 T FORMULA (NIL) -8 NIL NIL NIL) (-392 890614 890644 890713 "FORMULA1" 890790 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-391 890137 890189 890362 "FORDER" 890556 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-390 889233 889397 889590 "FOP" 889964 T FOP (NIL) -7 NIL NIL NIL) (-389 887841 888513 888687 "FNLA" 889115 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-388 886596 886985 887013 "FNCAT" 887473 T FNCAT (NIL) -9 NIL 887733 NIL) (-387 886162 886555 886583 "FNAME" 886588 T FNAME (NIL) -8 NIL NIL NIL) (-386 884825 885754 885782 "FMTC" 885787 T FMTC (NIL) -9 NIL 885823 NIL) (-385 881187 882348 882977 "FMONOID" 884229 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-384 880406 880929 881078 "FM" 881083 NIL FM (NIL T T) -8 NIL NIL NIL) (-383 877830 878476 878504 "FMFUN" 879648 T FMFUN (NIL) -9 NIL 880356 NIL) (-382 877099 877280 877308 "FMC" 877598 T FMC (NIL) -9 NIL 877780 NIL) (-381 874293 875127 875181 "FMCAT" 876376 NIL FMCAT (NIL T T) -9 NIL 876871 NIL) (-380 873186 874059 874159 "FM1" 874238 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-379 870960 871376 871870 "FLOATRP" 872737 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-378 864584 868689 869310 "FLOAT" 870359 T FLOAT (NIL) -8 NIL NIL NIL) (-377 862022 862522 863100 "FLOATCP" 864051 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-376 860831 861635 861676 "FLINEXP" 861681 NIL FLINEXP (NIL T) -9 NIL 861774 NIL) (-375 859985 860220 860548 "FLINEXP-" 860553 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-374 859061 859205 859429 "FLASORT" 859837 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-373 856278 857120 857172 "FLALG" 858399 NIL FLALG (NIL T T) -9 NIL 858866 NIL) (-372 850062 853764 853805 "FLAGG" 855067 NIL FLAGG (NIL T) -9 NIL 855719 NIL) (-371 848788 849127 849617 "FLAGG-" 849622 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-370 847830 847973 848200 "FLAGG2" 848641 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-369 844805 845779 845838 "FINRALG" 846966 NIL FINRALG (NIL T T) -9 NIL 847474 NIL) (-368 843965 844194 844533 "FINRALG-" 844538 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-367 843371 843584 843612 "FINITE" 843808 T FINITE (NIL) -9 NIL 843915 NIL) (-366 835829 837990 838030 "FINAALG" 841697 NIL FINAALG (NIL T) -9 NIL 843150 NIL) (-365 831170 832211 833355 "FINAALG-" 834734 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-364 830565 830925 831028 "FILE" 831100 NIL FILE (NIL T) -8 NIL NIL NIL) (-363 829249 829561 829615 "FILECAT" 830299 NIL FILECAT (NIL T T) -9 NIL 830515 NIL) (-362 827117 828611 828639 "FIELD" 828679 T FIELD (NIL) -9 NIL 828759 NIL) (-361 825737 826122 826633 "FIELD-" 826638 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-360 823615 824372 824719 "FGROUP" 825423 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-359 822705 822869 823089 "FGLMICPK" 823447 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-358 818572 822630 822687 "FFX" 822692 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-357 818173 818234 818369 "FFSLPE" 818505 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-356 814166 814945 815741 "FFPOLY" 817409 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-355 813670 813706 813915 "FFPOLY2" 814124 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-354 809556 813589 813652 "FFP" 813657 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-353 804989 809467 809531 "FF" 809536 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-352 800150 804332 804522 "FFNBX" 804843 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-351 795124 799285 799543 "FFNBP" 800004 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-350 789792 794408 794619 "FFNB" 794957 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-349 788624 788822 789137 "FFINTBAS" 789589 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-348 784852 787031 787059 "FFIELDC" 787679 T FFIELDC (NIL) -9 NIL 788055 NIL) (-347 783515 783885 784382 "FFIELDC-" 784387 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-346 783085 783130 783254 "FFHOM" 783457 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-345 780783 781267 781784 "FFF" 782600 NIL FFF (NIL T) -7 NIL NIL NIL) (-344 776436 780525 780626 "FFCGX" 780726 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-343 772103 776168 776275 "FFCGP" 776379 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-342 767321 771830 771938 "FFCG" 772039 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-341 749154 758192 758278 "FFCAT" 763443 NIL FFCAT (NIL T T T) -9 NIL 764894 NIL) (-340 744352 745399 746713 "FFCAT-" 747943 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-339 743763 743806 744041 "FFCAT2" 744303 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-338 732975 736735 737955 "FEXPR" 742615 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-337 731975 732410 732451 "FEVALAB" 732535 NIL FEVALAB (NIL T) -9 NIL 732796 NIL) (-336 731134 731344 731682 "FEVALAB-" 731687 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-335 729727 730517 730720 "FDIV" 731033 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-334 726793 727508 727623 "FDIVCAT" 729191 NIL FDIVCAT (NIL T T T T) -9 NIL 729628 NIL) (-333 726555 726582 726752 "FDIVCAT-" 726757 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-332 725775 725862 726139 "FDIV2" 726462 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-331 724461 724720 725009 "FCPAK1" 725506 T FCPAK1 (NIL) -7 NIL NIL NIL) (-330 723589 723961 724102 "FCOMP" 724352 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-329 707326 710739 714277 "FC" 720071 T FC (NIL) -8 NIL NIL NIL) (-328 699905 703890 703930 "FAXF" 705732 NIL FAXF (NIL T) -9 NIL 706424 NIL) (-327 697184 697839 698664 "FAXF-" 699129 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-326 692284 696560 696736 "FARRAY" 697041 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-325 687537 689569 689622 "FAMR" 690645 NIL FAMR (NIL T T) -9 NIL 691105 NIL) (-324 686427 686729 687164 "FAMR-" 687169 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-323 685623 686349 686402 "FAMONOID" 686407 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-322 683435 684119 684172 "FAMONC" 685113 NIL FAMONC (NIL T T) -9 NIL 685499 NIL) (-321 682127 683189 683326 "FAGROUP" 683331 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-320 679922 680241 680644 "FACUTIL" 681808 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-319 679021 679206 679428 "FACTFUNC" 679732 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-318 671426 678272 678484 "EXPUPXS" 678877 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-317 668909 669449 670035 "EXPRTUBE" 670860 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-316 665103 665695 666432 "EXPRODE" 668248 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-315 650477 663758 664186 "EXPR" 664707 NIL EXPR (NIL T) -8 NIL NIL NIL) (-314 644884 645471 646284 "EXPR2UPS" 649775 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-313 644520 644577 644684 "EXPR2" 644821 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-312 635925 643652 643949 "EXPEXPAN" 644357 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-311 635752 635882 635911 "EXIT" 635916 T EXIT (NIL) -8 NIL NIL NIL) (-310 635259 635476 635567 "EXITAST" 635681 T EXITAST (NIL) -8 NIL NIL NIL) (-309 634886 634948 635061 "EVALCYC" 635191 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-308 634427 634545 634586 "EVALAB" 634756 NIL EVALAB (NIL T) -9 NIL 634860 NIL) (-307 633908 634030 634251 "EVALAB-" 634256 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-306 631376 632644 632672 "EUCDOM" 633227 T EUCDOM (NIL) -9 NIL 633577 NIL) (-305 629781 630223 630813 "EUCDOM-" 630818 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-304 617321 620079 622829 "ESTOOLS" 627051 T ESTOOLS (NIL) -7 NIL NIL NIL) (-303 616953 617010 617119 "ESTOOLS2" 617258 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-302 616704 616746 616826 "ESTOOLS1" 616905 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-301 610609 612337 612365 "ES" 615133 T ES (NIL) -9 NIL 616542 NIL) (-300 605557 606843 608660 "ES-" 608824 NIL ES- (NIL T) -8 NIL NIL NIL) (-299 601932 602692 603472 "ESCONT" 604797 T ESCONT (NIL) -7 NIL NIL NIL) (-298 601677 601709 601791 "ESCONT1" 601894 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-297 601352 601402 601502 "ES2" 601621 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-296 600982 601040 601149 "ES1" 601288 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-295 600198 600327 600503 "ERROR" 600826 T ERROR (NIL) -7 NIL NIL NIL) (-294 593701 600057 600148 "EQTBL" 600153 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-293 586258 589015 590464 "EQ" 592285 NIL -3320 (NIL T) -8 NIL NIL NIL) (-292 585890 585947 586056 "EQ2" 586195 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-291 581182 582228 583321 "EP" 584829 NIL EP (NIL T) -7 NIL NIL NIL) (-290 579764 580065 580382 "ENV" 580885 T ENV (NIL) -8 NIL NIL NIL) (-289 578943 579463 579491 "ENTIRER" 579496 T ENTIRER (NIL) -9 NIL 579542 NIL) (-288 575445 576898 577268 "EMR" 578742 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-287 574589 574774 574828 "ELTAGG" 575208 NIL ELTAGG (NIL T T) -9 NIL 575419 NIL) (-286 574308 574370 574511 "ELTAGG-" 574516 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-285 574097 574126 574180 "ELTAB" 574264 NIL ELTAB (NIL T T) -9 NIL NIL NIL) (-284 573223 573369 573568 "ELFUTS" 573948 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-283 572965 573021 573049 "ELEMFUN" 573154 T ELEMFUN (NIL) -9 NIL NIL NIL) (-282 572835 572856 572924 "ELEMFUN-" 572929 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-281 567726 570935 570976 "ELAGG" 571916 NIL ELAGG (NIL T) -9 NIL 572379 NIL) (-280 566011 566445 567108 "ELAGG-" 567113 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-279 564668 564948 565243 "ELABEXPR" 565736 T ELABEXPR (NIL) -8 NIL NIL NIL) (-278 557534 559335 560162 "EFUPXS" 563944 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-277 550984 552785 553595 "EFULS" 556810 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-276 548406 548764 549243 "EFSTRUC" 550616 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-275 537478 539043 540603 "EF" 546921 NIL EF (NIL T T) -7 NIL NIL NIL) (-274 536579 536963 537112 "EAB" 537349 T EAB (NIL) -8 NIL NIL NIL) (-273 535788 536538 536566 "E04UCFA" 536571 T E04UCFA (NIL) -8 NIL NIL NIL) (-272 534997 535747 535775 "E04NAFA" 535780 T E04NAFA (NIL) -8 NIL NIL NIL) (-271 534206 534956 534984 "E04MBFA" 534989 T E04MBFA (NIL) -8 NIL NIL NIL) (-270 533415 534165 534193 "E04JAFA" 534198 T E04JAFA (NIL) -8 NIL NIL NIL) (-269 532626 533374 533402 "E04GCFA" 533407 T E04GCFA (NIL) -8 NIL NIL NIL) (-268 531837 532585 532613 "E04FDFA" 532618 T E04FDFA (NIL) -8 NIL NIL NIL) (-267 531046 531796 531824 "E04DGFA" 531829 T E04DGFA (NIL) -8 NIL NIL NIL) (-266 525224 526571 527935 "E04AGNT" 529702 T E04AGNT (NIL) -7 NIL NIL NIL) (-265 523930 524410 524450 "DVARCAT" 524925 NIL DVARCAT (NIL T) -9 NIL 525124 NIL) (-264 523134 523346 523660 "DVARCAT-" 523665 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-263 516034 522933 523062 "DSMP" 523067 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-262 510844 511979 513047 "DROPT" 514986 T DROPT (NIL) -8 NIL NIL NIL) (-261 510509 510568 510666 "DROPT1" 510779 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-260 505624 506750 507887 "DROPT0" 509392 T DROPT0 (NIL) -7 NIL NIL NIL) (-259 503969 504294 504680 "DRAWPT" 505258 T DRAWPT (NIL) -7 NIL NIL NIL) (-258 498556 499479 500558 "DRAW" 502943 NIL DRAW (NIL T) -7 NIL NIL NIL) (-257 498189 498242 498360 "DRAWHACK" 498497 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-256 496920 497189 497480 "DRAWCX" 497918 T DRAWCX (NIL) -7 NIL NIL NIL) (-255 496436 496504 496655 "DRAWCURV" 496846 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-254 486907 488866 490981 "DRAWCFUN" 494341 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-253 483720 485602 485643 "DQAGG" 486272 NIL DQAGG (NIL T) -9 NIL 486545 NIL) (-252 471999 478698 478781 "DPOLCAT" 480633 NIL DPOLCAT (NIL T T T T) -9 NIL 481178 NIL) (-251 466838 468184 470142 "DPOLCAT-" 470147 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-250 459993 466699 466797 "DPMO" 466802 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-249 453051 459773 459940 "DPMM" 459945 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-248 452715 452970 453018 "DOMCTOR" 453023 T DOMCTOR (NIL) -8 NIL NIL NIL) (-247 452010 452237 452374 "DOMAIN" 452598 T DOMAIN (NIL) -8 NIL NIL NIL) (-246 445761 451645 451797 "DMP" 451911 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-245 445361 445417 445561 "DLP" 445699 NIL DLP (NIL T) -7 NIL NIL NIL) (-244 439231 444688 444878 "DLIST" 445203 NIL DLIST (NIL T) -8 NIL NIL NIL) (-243 436075 438084 438125 "DLAGG" 438675 NIL DLAGG (NIL T) -9 NIL 438905 NIL) (-242 434888 435518 435546 "DIVRING" 435638 T DIVRING (NIL) -9 NIL 435721 NIL) (-241 434125 434315 434615 "DIVRING-" 434620 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-240 432227 432584 432990 "DISPLAY" 433739 T DISPLAY (NIL) -7 NIL NIL NIL) (-239 426169 432141 432204 "DIRPROD" 432209 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-238 425017 425220 425485 "DIRPROD2" 425962 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-237 414280 420232 420285 "DIRPCAT" 420695 NIL DIRPCAT (NIL NIL T) -9 NIL 421535 NIL) (-236 411606 412248 413129 "DIRPCAT-" 413466 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-235 410893 411053 411239 "DIOSP" 411440 T DIOSP (NIL) -7 NIL NIL NIL) (-234 407595 409805 409846 "DIOPS" 410280 NIL DIOPS (NIL T) -9 NIL 410509 NIL) (-233 407144 407258 407449 "DIOPS-" 407454 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-232 406036 406630 406658 "DIFRING" 406845 T DIFRING (NIL) -9 NIL 406955 NIL) (-231 405682 405759 405911 "DIFRING-" 405916 NIL DIFRING- (NIL T) -8 NIL NIL NIL) (-230 403487 404725 404766 "DIFEXT" 405129 NIL DIFEXT (NIL T) -9 NIL 405423 NIL) (-229 401772 402200 402866 "DIFEXT-" 402871 NIL DIFEXT- (NIL T T) -8 NIL NIL NIL) (-228 399094 401304 401345 "DIAGG" 401350 NIL DIAGG (NIL T) -9 NIL 401370 NIL) (-227 398478 398635 398887 "DIAGG-" 398892 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-226 393943 397437 397714 "DHMATRIX" 398247 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-225 389555 390464 391474 "DFSFUN" 392953 T DFSFUN (NIL) -7 NIL NIL NIL) (-224 384671 388486 388798 "DFLOAT" 389263 T DFLOAT (NIL) -8 NIL NIL NIL) (-223 382899 383180 383576 "DFINTTLS" 384379 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-222 379964 380920 381320 "DERHAM" 382565 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-221 377813 379739 379828 "DEQUEUE" 379908 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-220 377028 377161 377357 "DEGRED" 377675 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-219 373423 374168 375021 "DEFINTRF" 376256 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-218 370950 371419 372018 "DEFINTEF" 372942 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-217 370327 370570 370685 "DEFAST" 370855 T DEFAST (NIL) -8 NIL NIL NIL) (-216 364369 369924 370072 "DECIMAL" 370199 T DECIMAL (NIL) -8 NIL NIL NIL) (-215 361881 362339 362845 "DDFACT" 363913 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-214 361477 361520 361671 "DBLRESP" 361832 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-213 359376 359710 360070 "DBASE" 361244 NIL DBASE (NIL T) -8 NIL NIL NIL) (-212 358645 358856 359002 "DATAARY" 359275 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-211 357778 358604 358632 "D03FAFA" 358637 T D03FAFA (NIL) -8 NIL NIL NIL) (-210 356912 357737 357765 "D03EEFA" 357770 T D03EEFA (NIL) -8 NIL NIL NIL) (-209 354862 355328 355817 "D03AGNT" 356443 T D03AGNT (NIL) -7 NIL NIL NIL) (-208 354178 354821 354849 "D02EJFA" 354854 T D02EJFA (NIL) -8 NIL NIL NIL) (-207 353494 354137 354165 "D02CJFA" 354170 T D02CJFA (NIL) -8 NIL NIL NIL) (-206 352810 353453 353481 "D02BHFA" 353486 T D02BHFA (NIL) -8 NIL NIL NIL) (-205 352126 352769 352797 "D02BBFA" 352802 T D02BBFA (NIL) -8 NIL NIL NIL) (-204 345324 346912 348518 "D02AGNT" 350540 T D02AGNT (NIL) -7 NIL NIL NIL) (-203 343093 343615 344161 "D01WGTS" 344798 T D01WGTS (NIL) -7 NIL NIL NIL) (-202 342188 343052 343080 "D01TRNS" 343085 T D01TRNS (NIL) -8 NIL NIL NIL) (-201 341283 342147 342175 "D01GBFA" 342180 T D01GBFA (NIL) -8 NIL NIL NIL) (-200 340378 341242 341270 "D01FCFA" 341275 T D01FCFA (NIL) -8 NIL NIL NIL) (-199 339473 340337 340365 "D01ASFA" 340370 T D01ASFA (NIL) -8 NIL NIL NIL) (-198 338568 339432 339460 "D01AQFA" 339465 T D01AQFA (NIL) -8 NIL NIL NIL) (-197 337663 338527 338555 "D01APFA" 338560 T D01APFA (NIL) -8 NIL NIL NIL) (-196 336758 337622 337650 "D01ANFA" 337655 T D01ANFA (NIL) -8 NIL NIL NIL) (-195 335853 336717 336745 "D01AMFA" 336750 T D01AMFA (NIL) -8 NIL NIL NIL) (-194 334948 335812 335840 "D01ALFA" 335845 T D01ALFA (NIL) -8 NIL NIL NIL) (-193 334043 334907 334935 "D01AKFA" 334940 T D01AKFA (NIL) -8 NIL NIL NIL) (-192 333138 334002 334030 "D01AJFA" 334035 T D01AJFA (NIL) -8 NIL NIL NIL) (-191 326435 327986 329547 "D01AGNT" 331597 T D01AGNT (NIL) -7 NIL NIL NIL) (-190 325772 325900 326052 "CYCLOTOM" 326303 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-189 322507 323220 323947 "CYCLES" 325065 T CYCLES (NIL) -7 NIL NIL NIL) (-188 321819 321953 322124 "CVMP" 322368 NIL CVMP (NIL T) -7 NIL NIL NIL) (-187 319590 319848 320224 "CTRIGMNP" 321547 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-186 319313 319549 319577 "CTOR" 319582 T CTOR (NIL) -8 NIL NIL NIL) (-185 318849 319044 319145 "CTORKIND" 319232 T CTORKIND (NIL) -8 NIL NIL NIL) (-184 318320 318548 318576 "CTORCAT" 318696 T CTORCAT (NIL) -9 NIL 318779 NIL) (-183 318015 318095 318221 "CTORCAT-" 318226 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-182 317531 317718 317816 "CTORCALL" 317937 T CTORCALL (NIL) -8 NIL NIL NIL) (-181 316905 317004 317157 "CSTTOOLS" 317428 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-180 312704 313361 314119 "CRFP" 316217 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-179 312206 312425 312517 "CRCEAST" 312632 T CRCEAST (NIL) -8 NIL NIL NIL) (-178 311253 311438 311666 "CRAPACK" 312010 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-177 310637 310738 310942 "CPMATCH" 311129 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-176 310362 310390 310496 "CPIMA" 310603 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-175 306726 307398 308116 "COORDSYS" 309697 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-174 306110 306239 306389 "CONTOUR" 306596 T CONTOUR (NIL) -8 NIL NIL NIL) (-173 302036 304113 304605 "CONTFRAC" 305650 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-172 301916 301937 301965 "CONDUIT" 302002 T CONDUIT (NIL) -9 NIL NIL NIL) (-171 301089 301609 301637 "COMRING" 301642 T COMRING (NIL) -9 NIL 301694 NIL) (-170 300170 300447 300631 "COMPPROP" 300925 T COMPPROP (NIL) -8 NIL NIL NIL) (-169 299831 299866 299994 "COMPLPAT" 300129 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-168 289888 299640 299749 "COMPLEX" 299754 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-167 289524 289581 289688 "COMPLEX2" 289825 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-166 289242 289277 289375 "COMPFACT" 289483 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-165 273415 283635 283675 "COMPCAT" 284679 NIL COMPCAT (NIL T) -9 NIL 286064 NIL) (-164 262931 265854 269481 "COMPCAT-" 269837 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-163 262660 262688 262791 "COMMUPC" 262897 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-162 262455 262488 262547 "COMMONOP" 262621 T COMMONOP (NIL) -7 NIL NIL NIL) (-161 262038 262206 262293 "COMM" 262388 T COMM (NIL) -8 NIL NIL NIL) (-160 261642 261842 261917 "COMMAAST" 261983 T COMMAAST (NIL) -8 NIL NIL NIL) (-159 260891 261085 261113 "COMBOPC" 261451 T COMBOPC (NIL) -9 NIL 261626 NIL) (-158 259787 259997 260239 "COMBINAT" 260681 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-157 255985 256558 257198 "COMBF" 259209 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-156 254771 255101 255336 "COLOR" 255770 T COLOR (NIL) -8 NIL NIL NIL) (-155 254274 254492 254584 "COLONAST" 254699 T COLONAST (NIL) -8 NIL NIL NIL) (-154 253914 253961 254086 "CMPLXRT" 254221 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-153 253389 253614 253713 "CLLCTAST" 253835 T CLLCTAST (NIL) -8 NIL NIL NIL) (-152 248891 249919 250999 "CLIP" 252329 T CLIP (NIL) -7 NIL NIL NIL) (-151 247273 247997 248236 "CLIF" 248718 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-150 243495 245419 245460 "CLAGG" 246389 NIL CLAGG (NIL T) -9 NIL 246925 NIL) (-149 241917 242374 242957 "CLAGG-" 242962 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-148 241461 241546 241686 "CINTSLPE" 241826 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-147 238962 239433 239981 "CHVAR" 240989 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-146 238205 238725 238753 "CHARZ" 238758 T CHARZ (NIL) -9 NIL 238773 NIL) (-145 237959 237999 238077 "CHARPOL" 238159 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-144 237086 237639 237667 "CHARNZ" 237714 T CHARNZ (NIL) -9 NIL 237770 NIL) (-143 235075 235776 236111 "CHAR" 236771 T CHAR (NIL) -8 NIL NIL NIL) (-142 234801 234862 234890 "CFCAT" 235001 T CFCAT (NIL) -9 NIL NIL NIL) (-141 234046 234157 234339 "CDEN" 234685 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-140 230038 233199 233479 "CCLASS" 233786 T CCLASS (NIL) -8 NIL NIL NIL) (-139 229345 229488 229651 "CATEGORY" 229895 T -10 (NIL) -8 NIL NIL NIL) (-138 229009 229264 229312 "CATCTOR" 229317 T CATCTOR (NIL) -8 NIL NIL NIL) (-137 228483 228709 228808 "CATAST" 228930 T CATAST (NIL) -8 NIL NIL NIL) (-136 227986 228204 228296 "CASEAST" 228411 T CASEAST (NIL) -8 NIL NIL NIL) (-135 223038 224015 224768 "CARTEN" 227289 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-134 222146 222294 222515 "CARTEN2" 222885 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-133 220488 221296 221553 "CARD" 221909 T CARD (NIL) -8 NIL NIL NIL) (-132 220091 220292 220367 "CAPSLAST" 220433 T CAPSLAST (NIL) -8 NIL NIL NIL) (-131 219463 219791 219819 "CACHSET" 219951 T CACHSET (NIL) -9 NIL 220028 NIL) (-130 218959 219255 219283 "CABMON" 219333 T CABMON (NIL) -9 NIL 219389 NIL) (-129 218107 218505 218641 "BYTE" 218804 T BYTE (NIL) -8 NIL NIL 218920) (-128 213516 217575 217738 "BYTEBUF" 217964 T BYTEBUF (NIL) -8 NIL NIL NIL) (-127 211073 213208 213315 "BTREE" 213442 NIL BTREE (NIL T) -8 NIL NIL NIL) (-126 208571 210721 210843 "BTOURN" 210983 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-125 205988 208041 208082 "BTCAT" 208150 NIL BTCAT (NIL T) -9 NIL 208227 NIL) (-124 205655 205735 205884 "BTCAT-" 205889 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-123 200947 204798 204826 "BTAGG" 205048 T BTAGG (NIL) -9 NIL 205209 NIL) (-122 200437 200562 200768 "BTAGG-" 200773 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-121 197481 199715 199930 "BSTREE" 200254 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-120 196619 196745 196929 "BRILL" 197337 NIL BRILL (NIL T) -7 NIL NIL NIL) (-119 193318 195345 195386 "BRAGG" 196035 NIL BRAGG (NIL T) -9 NIL 196293 NIL) (-118 191847 192253 192808 "BRAGG-" 192813 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-117 185111 191193 191377 "BPADICRT" 191695 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-116 183461 185048 185093 "BPADIC" 185098 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-115 183159 183189 183303 "BOUNDZRO" 183425 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-114 178674 179765 180632 "BOP" 182312 T BOP (NIL) -8 NIL NIL NIL) (-113 176295 176739 177259 "BOP1" 178187 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-112 174997 175719 175912 "BOOLEAN" 176122 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 174359 174737 174791 "BMODULE" 174796 NIL BMODULE (NIL T T) -9 NIL 174861 NIL) (-110 170189 174157 174230 "BITS" 174306 T BITS (NIL) -8 NIL NIL NIL) (-109 169601 169723 169865 "BINDING" 170067 T BINDING (NIL) -8 NIL NIL NIL) (-108 163646 169200 169347 "BINARY" 169474 T BINARY (NIL) -8 NIL NIL NIL) (-107 161473 162901 162942 "BGAGG" 163202 NIL BGAGG (NIL T) -9 NIL 163339 NIL) (-106 161304 161336 161427 "BGAGG-" 161432 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 160402 160688 160893 "BFUNCT" 161119 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 159092 159270 159558 "BEZOUT" 160226 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 155609 157944 158274 "BBTREE" 158795 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 155343 155396 155424 "BASTYPE" 155543 T BASTYPE (NIL) -9 NIL NIL NIL) (-101 155196 155224 155297 "BASTYPE-" 155302 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 154630 154706 154858 "BALFACT" 155107 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 153513 154045 154231 "AUTOMOR" 154475 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 153239 153244 153270 "ATTREG" 153275 T ATTREG (NIL) -9 NIL NIL NIL) (-97 151518 151936 152288 "ATTRBUT" 152905 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 151153 151346 151412 "ATTRAST" 151470 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 150689 150802 150828 "ATRIG" 151029 T ATRIG (NIL) -9 NIL NIL NIL) (-94 150498 150539 150626 "ATRIG-" 150631 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 150169 150329 150355 "ASTCAT" 150360 T ASTCAT (NIL) -9 NIL 150390 NIL) (-92 149896 149955 150074 "ASTCAT-" 150079 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 148093 149672 149760 "ASTACK" 149839 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 146598 146895 147260 "ASSOCEQ" 147775 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 145630 146257 146381 "ASP9" 146505 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 145394 145578 145617 "ASP8" 145622 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 144263 144999 145141 "ASP80" 145283 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 143162 143898 144030 "ASP7" 144162 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 142116 142839 142957 "ASP78" 143075 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 141085 141796 141913 "ASP77" 142030 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 139997 140723 140854 "ASP74" 140985 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 138897 139632 139764 "ASP73" 139896 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 138001 138723 138823 "ASP6" 138828 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 136949 137678 137796 "ASP55" 137914 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 135899 136623 136742 "ASP50" 136861 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 134987 135600 135710 "ASP4" 135820 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 134075 134688 134798 "ASP49" 134908 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 132860 133614 133782 "ASP42" 133964 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 131637 132393 132563 "ASP41" 132747 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 130587 131314 131432 "ASP35" 131550 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 130352 130535 130574 "ASP34" 130579 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 130089 130156 130232 "ASP33" 130307 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 128984 129724 129856 "ASP31" 129988 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 128749 128932 128971 "ASP30" 128976 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 128484 128553 128629 "ASP29" 128704 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 128249 128432 128471 "ASP28" 128476 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 128014 128197 128236 "ASP27" 128241 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 127098 127712 127823 "ASP24" 127934 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 126175 126900 127012 "ASP20" 127017 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 125263 125876 125986 "ASP1" 126096 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 124207 124937 125056 "ASP19" 125175 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 123944 124011 124087 "ASP12" 124162 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 122796 123543 123687 "ASP10" 123831 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 120695 122640 122731 "ARRAY2" 122736 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 116511 120343 120457 "ARRAY1" 120612 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 115543 115716 115937 "ARRAY12" 116334 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 109902 111773 111848 "ARR2CAT" 114478 NIL ARR2CAT (NIL T T T) -9 NIL 115236 NIL) (-56 107336 108080 109034 "ARR2CAT-" 109039 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 106930 107163 107242 "ARITY" 107275 T ARITY (NIL) -8 NIL NIL NIL) (-54 105678 105830 106136 "APPRULE" 106766 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 105329 105377 105496 "APPLYORE" 105624 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 104303 104594 104789 "ANY" 105152 T ANY (NIL) -8 NIL NIL NIL) (-51 103581 103704 103861 "ANY1" 104177 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 101146 102018 102345 "ANTISYM" 103305 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 100661 100850 100947 "ANON" 101067 T ANON (NIL) -8 NIL NIL NIL) (-48 94793 99200 99654 "AN" 100225 T AN (NIL) -8 NIL NIL NIL) (-47 91049 92403 92454 "AMR" 93202 NIL AMR (NIL T T) -9 NIL 93802 NIL) (-46 90161 90382 90745 "AMR-" 90750 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 74711 90078 90139 "ALIST" 90144 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 71548 74305 74474 "ALGSC" 74629 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 68104 68658 69265 "ALGPKG" 70988 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 67381 67482 67666 "ALGMFACT" 67990 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 63120 63805 64460 "ALGMANIP" 66904 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 54526 62746 62896 "ALGFF" 63053 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 53722 53853 54032 "ALGFACT" 54384 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 52787 53353 53391 "ALGEBRA" 53396 NIL ALGEBRA (NIL T) -9 NIL 53437 NIL) (-37 52505 52564 52696 "ALGEBRA-" 52701 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 34764 50507 50559 "ALAGG" 50695 NIL ALAGG (NIL T T) -9 NIL 50856 NIL) (-35 34300 34413 34439 "AHYP" 34640 T AHYP (NIL) -9 NIL NIL NIL) (-34 33231 33479 33505 "AGG" 34004 T AGG (NIL) -9 NIL 34283 NIL) (-33 32665 32827 33041 "AGG-" 33046 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 30342 30764 31182 "AF" 32307 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 29849 30067 30157 "ADDAST" 30270 T ADDAST (NIL) -8 NIL NIL NIL) (-30 29118 29376 29532 "ACPLOT" 29711 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 18410 26331 26382 "ACFS" 27093 NIL ACFS (NIL T) -9 NIL 27332 NIL) (-28 16424 16914 17689 "ACFS-" 17694 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 12697 14591 14617 "ACF" 15496 T ACF (NIL) -9 NIL 15908 NIL) (-26 11401 11735 12228 "ACF-" 12233 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 10999 11168 11194 "ABELSG" 11286 T ABELSG (NIL) -9 NIL 11351 NIL) (-24 10866 10891 10957 "ABELSG-" 10962 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 10235 10496 10522 "ABELMON" 10692 T ABELMON (NIL) -9 NIL 10804 NIL) (-22 9899 9983 10121 "ABELMON-" 10126 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 9233 9579 9605 "ABELGRP" 9730 T ABELGRP (NIL) -9 NIL 9812 NIL) (-20 8696 8825 9041 "ABELGRP-" 9046 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4333 8035 8074 "A1AGG" 8079 NIL A1AGG (NIL T) -9 NIL 8119 NIL) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL NIL))
\ No newline at end of file +((-3 3184341 3184346 3184351 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-2 3184326 3184331 3184336 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1 3184311 3184316 3184321 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (0 3184296 3184301 3184306 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1274 3183472 3184171 3184248 "ZMOD" 3184253 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1273 3182582 3182746 3182955 "ZLINDEP" 3183304 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1272 3171886 3173650 3175622 "ZDSOLVE" 3180712 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1271 3171132 3171273 3171462 "YSTREAM" 3171732 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1270 3168943 3170433 3170637 "XRPOLY" 3170975 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1269 3165531 3166814 3167389 "XPR" 3168415 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1268 3163287 3164862 3165066 "XPOLY" 3165362 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1267 3161078 3162412 3162467 "XPOLYC" 3162755 NIL XPOLYC (NIL T T) -9 NIL 3162868 NIL) (-1266 3157496 3159595 3159983 "XPBWPOLY" 3160736 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1265 3153407 3155659 3155701 "XF" 3156322 NIL XF (NIL T) -9 NIL 3156722 NIL) (-1264 3153028 3153116 3153285 "XF-" 3153290 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1263 3148362 3149617 3149672 "XFALG" 3151844 NIL XFALG (NIL T T) -9 NIL 3152633 NIL) (-1262 3147495 3147599 3147804 "XEXPPKG" 3148254 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1261 3145639 3147345 3147441 "XDPOLY" 3147446 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1260 3144584 3145150 3145193 "XALG" 3145198 NIL XALG (NIL T) -9 NIL 3145309 NIL) (-1259 3138053 3142561 3143055 "WUTSET" 3144176 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1258 3136344 3137105 3137428 "WP" 3137864 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1257 3135973 3136166 3136236 "WHILEAST" 3136296 T WHILEAST (NIL) -8 NIL NIL NIL) (-1256 3135472 3135690 3135784 "WHEREAST" 3135901 T WHEREAST (NIL) -8 NIL NIL NIL) (-1255 3134358 3134556 3134851 "WFFINTBS" 3135269 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1254 3132262 3132689 3133151 "WEIER" 3133930 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1253 3131409 3131833 3131875 "VSPACE" 3132011 NIL VSPACE (NIL T) -9 NIL 3132085 NIL) (-1252 3131247 3131274 3131365 "VSPACE-" 3131370 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1251 3131055 3131098 3131166 "VOID" 3131201 T VOID (NIL) -8 NIL NIL NIL) (-1250 3129191 3129550 3129956 "VIEW" 3130671 T VIEW (NIL) -7 NIL NIL NIL) (-1249 3125616 3126254 3126991 "VIEWDEF" 3128476 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1248 3114952 3117164 3119337 "VIEW3D" 3123465 T VIEW3D (NIL) -8 NIL NIL NIL) (-1247 3107234 3108863 3110442 "VIEW2D" 3113395 T VIEW2D (NIL) -8 NIL NIL NIL) (-1246 3102638 3107004 3107096 "VECTOR" 3107177 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1245 3101215 3101474 3101792 "VECTOR2" 3102368 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1244 3094742 3098999 3099042 "VECTCAT" 3100035 NIL VECTCAT (NIL T) -9 NIL 3100621 NIL) (-1243 3093756 3094010 3094400 "VECTCAT-" 3094405 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1242 3093237 3093407 3093527 "VARIABLE" 3093671 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1241 3093170 3093175 3093205 "UTYPE" 3093210 T UTYPE (NIL) -9 NIL NIL NIL) (-1240 3092000 3092154 3092416 "UTSODETL" 3092996 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1239 3089440 3089900 3090424 "UTSODE" 3091541 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1238 3081316 3087066 3087555 "UTS" 3089009 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1237 3072559 3077883 3077926 "UTSCAT" 3079038 NIL UTSCAT (NIL T) -9 NIL 3079795 NIL) (-1236 3069914 3070629 3071618 "UTSCAT-" 3071623 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1235 3069541 3069584 3069717 "UTS2" 3069865 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1234 3063814 3066379 3066422 "URAGG" 3068492 NIL URAGG (NIL T) -9 NIL 3069215 NIL) (-1233 3060753 3061616 3062739 "URAGG-" 3062744 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1232 3056477 3059367 3059839 "UPXSSING" 3060417 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1231 3048579 3055724 3055997 "UPXS" 3056262 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1230 3041692 3048483 3048555 "UPXSCONS" 3048560 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1229 3031937 3038687 3038749 "UPXSCCA" 3039323 NIL UPXSCCA (NIL T T) -9 NIL 3039556 NIL) (-1228 3031575 3031660 3031834 "UPXSCCA-" 3031839 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1227 3021673 3028196 3028239 "UPXSCAT" 3028887 NIL UPXSCAT (NIL T) -9 NIL 3029495 NIL) (-1226 3021103 3021182 3021361 "UPXS2" 3021588 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1225 3019757 3020010 3020361 "UPSQFREE" 3020846 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1224 3013545 3016559 3016614 "UPSCAT" 3017775 NIL UPSCAT (NIL T T) -9 NIL 3018549 NIL) (-1223 3012749 3012956 3013283 "UPSCAT-" 3013288 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1222 2998599 3006597 3006640 "UPOLYC" 3008741 NIL UPOLYC (NIL T) -9 NIL 3009962 NIL) (-1221 2989928 2992353 2995500 "UPOLYC-" 2995505 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1220 2989555 2989598 2989731 "UPOLYC2" 2989879 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1219 2981129 2989238 2989367 "UP" 2989474 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1218 2980468 2980575 2980739 "UPMP" 2981018 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1217 2980021 2980102 2980241 "UPDIVP" 2980381 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1216 2978589 2978838 2979154 "UPDECOMP" 2979770 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1215 2977824 2977936 2978121 "UPCDEN" 2978473 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1214 2977343 2977412 2977561 "UP2" 2977749 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1213 2975860 2976547 2976824 "UNISEG" 2977101 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1212 2975075 2975202 2975407 "UNISEG2" 2975703 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1211 2974135 2974315 2974541 "UNIFACT" 2974891 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1210 2958102 2973312 2973563 "ULS" 2973942 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1209 2946142 2958006 2958078 "ULSCONS" 2958083 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1208 2928758 2940700 2940762 "ULSCCAT" 2941400 NIL ULSCCAT (NIL T T) -9 NIL 2941688 NIL) (-1207 2927808 2928053 2928441 "ULSCCAT-" 2928446 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1206 2917683 2924120 2924163 "ULSCAT" 2925026 NIL ULSCAT (NIL T) -9 NIL 2925756 NIL) (-1205 2917113 2917192 2917371 "ULS2" 2917598 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1204 2915516 2916439 2916469 "UFD" 2916681 T UFD (NIL) -9 NIL 2916795 NIL) (-1203 2915310 2915356 2915451 "UFD-" 2915456 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1202 2914392 2914575 2914791 "UDVO" 2915116 T UDVO (NIL) -7 NIL NIL NIL) (-1201 2912208 2912617 2913088 "UDPO" 2913956 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1200 2912141 2912146 2912176 "TYPE" 2912181 T TYPE (NIL) -9 NIL NIL NIL) (-1199 2911928 2912096 2912127 "TYPEAST" 2912132 T TYPEAST (NIL) -8 NIL NIL NIL) (-1198 2910899 2911101 2911341 "TWOFACT" 2911722 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1197 2909971 2910308 2910543 "TUPLE" 2910699 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1196 2907662 2908181 2908720 "TUBETOOL" 2909454 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1195 2906511 2906716 2906957 "TUBE" 2907455 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1194 2901275 2905483 2905766 "TS" 2906263 NIL TS (NIL T) -8 NIL NIL NIL) (-1193 2889942 2894034 2894131 "TSETCAT" 2899400 NIL TSETCAT (NIL T T T T) -9 NIL 2900931 NIL) (-1192 2884677 2886274 2888165 "TSETCAT-" 2888170 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1191 2878940 2879786 2880728 "TRMANIP" 2883813 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1190 2878381 2878444 2878607 "TRIMAT" 2878872 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1189 2876177 2876414 2876778 "TRIGMNIP" 2878130 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1188 2875697 2875810 2875840 "TRIGCAT" 2876053 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1187 2875366 2875445 2875586 "TRIGCAT-" 2875591 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1186 2872263 2874224 2874505 "TREE" 2875120 NIL TREE (NIL T) -8 NIL NIL NIL) (-1185 2871537 2872065 2872095 "TRANFUN" 2872130 T TRANFUN (NIL) -9 NIL 2872196 NIL) (-1184 2870816 2871007 2871287 "TRANFUN-" 2871292 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1183 2870620 2870652 2870713 "TOPSP" 2870777 T TOPSP (NIL) -7 NIL NIL NIL) (-1182 2869968 2870083 2870237 "TOOLSIGN" 2870501 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1181 2868629 2869145 2869384 "TEXTFILE" 2869751 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1180 2866568 2867082 2867511 "TEX" 2868222 T TEX (NIL) -8 NIL NIL NIL) (-1179 2866349 2866380 2866452 "TEX1" 2866531 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1178 2865997 2866060 2866150 "TEMUTL" 2866281 T TEMUTL (NIL) -7 NIL NIL NIL) (-1177 2864151 2864431 2864756 "TBCMPPK" 2865720 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1176 2856039 2862311 2862367 "TBAGG" 2862767 NIL TBAGG (NIL T T) -9 NIL 2862978 NIL) (-1175 2851109 2852597 2854351 "TBAGG-" 2854356 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1174 2850493 2850600 2850745 "TANEXP" 2850998 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1173 2843994 2850350 2850443 "TABLE" 2850448 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1172 2843406 2843505 2843643 "TABLEAU" 2843891 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1171 2838014 2839234 2840482 "TABLBUMP" 2842192 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1170 2837442 2837542 2837670 "SYSTEM" 2837908 T SYSTEM (NIL) -7 NIL NIL NIL) (-1169 2833905 2834600 2835383 "SYSSOLP" 2836693 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1168 2830239 2831166 2831882 "SYNTAX" 2833211 T SYNTAX (NIL) -8 NIL NIL NIL) (-1167 2827397 2827999 2828631 "SYMTAB" 2829629 T SYMTAB (NIL) -8 NIL NIL NIL) (-1166 2822646 2823548 2824531 "SYMS" 2826436 T SYMS (NIL) -8 NIL NIL NIL) (-1165 2819918 2822104 2822334 "SYMPOLY" 2822451 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1164 2819435 2819510 2819633 "SYMFUNC" 2819830 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1163 2815487 2816747 2817560 "SYMBOL" 2818644 T SYMBOL (NIL) -8 NIL NIL NIL) (-1162 2809026 2810715 2812435 "SWITCH" 2813789 T SWITCH (NIL) -8 NIL NIL NIL) (-1161 2802296 2807847 2808150 "SUTS" 2808781 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1160 2794397 2801543 2801816 "SUPXS" 2802081 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1159 2785927 2794015 2794141 "SUP" 2794306 NIL SUP (NIL T) -8 NIL NIL NIL) (-1158 2785086 2785213 2785430 "SUPFRACF" 2785795 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1157 2784707 2784766 2784879 "SUP2" 2785021 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1156 2783120 2783394 2783757 "SUMRF" 2784406 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1155 2782434 2782500 2782699 "SUMFS" 2783041 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1154 2766441 2781611 2781862 "SULS" 2782241 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1153 2766070 2766263 2766333 "SUCHTAST" 2766393 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1152 2765392 2765595 2765735 "SUCH" 2765978 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1151 2759286 2760298 2761257 "SUBSPACE" 2764480 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1150 2758716 2758806 2758970 "SUBRESP" 2759174 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1149 2752085 2753381 2754692 "STTF" 2757452 NIL STTF (NIL T) -7 NIL NIL NIL) (-1148 2746258 2747378 2748525 "STTFNC" 2750985 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1147 2737573 2739440 2741234 "STTAYLOR" 2744499 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1146 2730817 2737437 2737520 "STRTBL" 2737525 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1145 2726208 2730772 2730803 "STRING" 2730808 T STRING (NIL) -8 NIL NIL NIL) (-1144 2721096 2725581 2725611 "STRICAT" 2725670 T STRICAT (NIL) -9 NIL 2725732 NIL) (-1143 2713906 2718715 2719326 "STREAM" 2720520 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1142 2713416 2713493 2713637 "STREAM3" 2713823 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1141 2712398 2712581 2712816 "STREAM2" 2713229 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1140 2712086 2712138 2712231 "STREAM1" 2712340 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1139 2711102 2711283 2711514 "STINPROD" 2711902 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1138 2710680 2710864 2710894 "STEP" 2710974 T STEP (NIL) -9 NIL 2711052 NIL) (-1137 2704223 2710579 2710656 "STBL" 2710661 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1136 2699397 2703444 2703487 "STAGG" 2703640 NIL STAGG (NIL T) -9 NIL 2703729 NIL) (-1135 2697099 2697701 2698573 "STAGG-" 2698578 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1134 2695294 2696869 2696961 "STACK" 2697042 NIL STACK (NIL T) -8 NIL NIL NIL) (-1133 2688019 2693435 2693891 "SREGSET" 2694924 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1132 2680445 2681813 2683326 "SRDCMPK" 2686625 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1131 2673412 2677885 2677915 "SRAGG" 2679218 T SRAGG (NIL) -9 NIL 2679826 NIL) (-1130 2672429 2672684 2673063 "SRAGG-" 2673068 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1129 2666924 2671376 2671797 "SQMATRIX" 2672055 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1128 2660673 2663642 2664369 "SPLTREE" 2666269 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1127 2656663 2657329 2657975 "SPLNODE" 2660099 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1126 2655710 2655943 2655973 "SPFCAT" 2656417 T SPFCAT (NIL) -9 NIL NIL NIL) (-1125 2654447 2654657 2654921 "SPECOUT" 2655468 T SPECOUT (NIL) -7 NIL NIL NIL) (-1124 2646099 2647843 2647873 "SPADXPT" 2652265 T SPADXPT (NIL) -9 NIL 2654299 NIL) (-1123 2645860 2645900 2645969 "SPADPRSR" 2646052 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1122 2644043 2645815 2645846 "SPADAST" 2645851 T SPADAST (NIL) -8 NIL NIL NIL) (-1121 2636014 2637761 2637804 "SPACEC" 2642177 NIL SPACEC (NIL T) -9 NIL 2643993 NIL) (-1120 2634185 2635946 2635995 "SPACE3" 2636000 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1119 2632937 2633108 2633399 "SORTPAK" 2633990 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1118 2630987 2631290 2631709 "SOLVETRA" 2632601 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1117 2629998 2630220 2630494 "SOLVESER" 2630760 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1116 2625218 2626099 2627101 "SOLVERAD" 2629050 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1115 2621033 2621642 2622371 "SOLVEFOR" 2624585 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1114 2615330 2620382 2620479 "SNTSCAT" 2620484 NIL SNTSCAT (NIL T T T T) -9 NIL 2620554 NIL) (-1113 2609473 2613653 2614044 "SMTS" 2615020 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1112 2603924 2609361 2609438 "SMP" 2609443 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1111 2602083 2602384 2602782 "SMITH" 2603621 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1110 2594978 2599134 2599237 "SMATCAT" 2600588 NIL SMATCAT (NIL NIL T T T) -9 NIL 2601138 NIL) (-1109 2591918 2592741 2593919 "SMATCAT-" 2593924 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1108 2589631 2591154 2591197 "SKAGG" 2591458 NIL SKAGG (NIL T) -9 NIL 2591593 NIL) (-1107 2585973 2589047 2589242 "SINT" 2589429 T SINT (NIL) -8 NIL NIL 2589602) (-1106 2585745 2585783 2585849 "SIMPAN" 2585929 T SIMPAN (NIL) -7 NIL NIL NIL) (-1105 2585052 2585280 2585420 "SIG" 2585627 T SIG (NIL) -8 NIL NIL NIL) (-1104 2583890 2584111 2584386 "SIGNRF" 2584811 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1103 2582695 2582846 2583137 "SIGNEF" 2583719 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1102 2582028 2582278 2582402 "SIGAST" 2582593 T SIGAST (NIL) -8 NIL NIL NIL) (-1101 2579718 2580172 2580678 "SHP" 2581569 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1100 2573624 2579619 2579695 "SHDP" 2579700 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1099 2573223 2573389 2573419 "SGROUP" 2573512 T SGROUP (NIL) -9 NIL 2573574 NIL) (-1098 2573081 2573107 2573180 "SGROUP-" 2573185 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1097 2569917 2570614 2571337 "SGCF" 2572380 T SGCF (NIL) -7 NIL NIL NIL) (-1096 2564312 2569364 2569461 "SFRTCAT" 2569466 NIL SFRTCAT (NIL T T T T) -9 NIL 2569505 NIL) (-1095 2557736 2558751 2559887 "SFRGCD" 2563295 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1094 2550864 2551935 2553121 "SFQCMPK" 2556669 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1093 2550486 2550575 2550685 "SFORT" 2550805 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1092 2549631 2550326 2550447 "SEXOF" 2550452 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1091 2548765 2549512 2549580 "SEX" 2549585 T SEX (NIL) -8 NIL NIL NIL) (-1090 2544304 2544993 2545088 "SEXCAT" 2548025 NIL SEXCAT (NIL T T T T T) -9 NIL 2548603 NIL) (-1089 2541484 2544238 2544286 "SET" 2544291 NIL SET (NIL T) -8 NIL NIL NIL) (-1088 2539735 2540197 2540502 "SETMN" 2541225 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1087 2539341 2539467 2539497 "SETCAT" 2539614 T SETCAT (NIL) -9 NIL 2539699 NIL) (-1086 2539121 2539173 2539272 "SETCAT-" 2539277 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1085 2535508 2537582 2537625 "SETAGG" 2538495 NIL SETAGG (NIL T) -9 NIL 2538835 NIL) (-1084 2534966 2535082 2535319 "SETAGG-" 2535324 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1083 2534436 2534662 2534763 "SEQAST" 2534887 T SEQAST (NIL) -8 NIL NIL NIL) (-1082 2533635 2533929 2533990 "SEGXCAT" 2534276 NIL SEGXCAT (NIL T T) -9 NIL 2534396 NIL) (-1081 2532691 2533301 2533483 "SEG" 2533488 NIL SEG (NIL T) -8 NIL NIL NIL) (-1080 2531670 2531884 2531927 "SEGCAT" 2532449 NIL SEGCAT (NIL T) -9 NIL 2532670 NIL) (-1079 2530719 2531049 2531249 "SEGBIND" 2531505 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1078 2530340 2530399 2530512 "SEGBIND2" 2530654 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1077 2529941 2530141 2530218 "SEGAST" 2530285 T SEGAST (NIL) -8 NIL NIL NIL) (-1076 2529160 2529286 2529490 "SEG2" 2529785 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1075 2528597 2529095 2529142 "SDVAR" 2529147 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1074 2520887 2528367 2528497 "SDPOL" 2528502 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1073 2519480 2519746 2520065 "SCPKG" 2520602 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1072 2518616 2518796 2518996 "SCOPE" 2519302 T SCOPE (NIL) -8 NIL NIL NIL) (-1071 2517837 2517970 2518149 "SCACHE" 2518471 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1070 2517509 2517669 2517699 "SASTCAT" 2517704 T SASTCAT (NIL) -9 NIL 2517717 NIL) (-1069 2517023 2517344 2517420 "SAOS" 2517455 T SAOS (NIL) -8 NIL NIL NIL) (-1068 2516588 2516623 2516796 "SAERFFC" 2516982 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1067 2510562 2516485 2516565 "SAE" 2516570 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1066 2510155 2510190 2510349 "SAEFACT" 2510521 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1065 2508476 2508790 2509191 "RURPK" 2509821 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1064 2507112 2507391 2507703 "RULESET" 2508310 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1063 2504299 2504802 2505267 "RULE" 2506793 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1062 2503938 2504093 2504176 "RULECOLD" 2504251 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1061 2503436 2503655 2503749 "RSTRCAST" 2503866 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1060 2498285 2499079 2499999 "RSETGCD" 2502635 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1059 2487542 2492594 2492691 "RSETCAT" 2496810 NIL RSETCAT (NIL T T T T) -9 NIL 2497907 NIL) (-1058 2485469 2486008 2486832 "RSETCAT-" 2486837 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1057 2477856 2479231 2480751 "RSDCMPK" 2484068 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1056 2475861 2476302 2476376 "RRCC" 2477462 NIL RRCC (NIL T T) -9 NIL 2477806 NIL) (-1055 2475212 2475386 2475665 "RRCC-" 2475670 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1054 2474682 2474908 2475009 "RPTAST" 2475133 T RPTAST (NIL) -8 NIL NIL NIL) (-1053 2448688 2458275 2458342 "RPOLCAT" 2469006 NIL RPOLCAT (NIL T T T) -9 NIL 2472165 NIL) (-1052 2440188 2442526 2445648 "RPOLCAT-" 2445653 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1051 2431235 2438399 2438881 "ROUTINE" 2439728 T ROUTINE (NIL) -8 NIL NIL NIL) (-1050 2428068 2430861 2431001 "ROMAN" 2431117 T ROMAN (NIL) -8 NIL NIL NIL) (-1049 2426343 2426928 2427188 "ROIRC" 2427873 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1048 2422736 2424979 2425009 "RNS" 2425313 T RNS (NIL) -9 NIL 2425586 NIL) (-1047 2421245 2421628 2422162 "RNS-" 2422237 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1046 2420694 2421076 2421106 "RNG" 2421111 T RNG (NIL) -9 NIL 2421132 NIL) (-1045 2420086 2420448 2420491 "RMODULE" 2420553 NIL RMODULE (NIL T) -9 NIL 2420595 NIL) (-1044 2418922 2419016 2419352 "RMCAT2" 2419987 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1043 2415799 2418268 2418565 "RMATRIX" 2418684 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1042 2408741 2410975 2411090 "RMATCAT" 2414449 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2415431 NIL) (-1041 2408116 2408263 2408570 "RMATCAT-" 2408575 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1040 2407683 2407758 2407886 "RINTERP" 2408035 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1039 2406816 2407336 2407366 "RING" 2407422 T RING (NIL) -9 NIL 2407508 NIL) (-1038 2406608 2406652 2406749 "RING-" 2406754 NIL RING- (NIL T) -8 NIL NIL NIL) (-1037 2405449 2405686 2405944 "RIDIST" 2406372 T RIDIST (NIL) -7 NIL NIL NIL) (-1036 2396765 2404917 2405123 "RGCHAIN" 2405297 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1035 2396141 2396521 2396562 "RGBCSPC" 2396620 NIL RGBCSPC (NIL T) -9 NIL 2396672 NIL) (-1034 2395325 2395680 2395721 "RGBCMDL" 2395953 NIL RGBCMDL (NIL T) -9 NIL 2396067 NIL) (-1033 2392319 2392933 2393603 "RF" 2394689 NIL RF (NIL T) -7 NIL NIL NIL) (-1032 2391965 2392028 2392131 "RFFACTOR" 2392250 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1031 2391690 2391725 2391822 "RFFACT" 2391924 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1030 2389807 2390171 2390553 "RFDIST" 2391330 T RFDIST (NIL) -7 NIL NIL NIL) (-1029 2389260 2389352 2389515 "RETSOL" 2389709 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1028 2388896 2388976 2389019 "RETRACT" 2389152 NIL RETRACT (NIL T) -9 NIL 2389239 NIL) (-1027 2388745 2388770 2388857 "RETRACT-" 2388862 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1026 2388374 2388567 2388637 "RETAST" 2388697 T RETAST (NIL) -8 NIL NIL NIL) (-1025 2381228 2388027 2388154 "RESULT" 2388269 T RESULT (NIL) -8 NIL NIL NIL) (-1024 2379854 2380497 2380696 "RESRING" 2381131 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1023 2379490 2379539 2379637 "RESLATC" 2379791 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1022 2379196 2379230 2379337 "REPSQ" 2379449 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1021 2376618 2377198 2377800 "REP" 2378616 T REP (NIL) -7 NIL NIL NIL) (-1020 2376316 2376350 2376461 "REPDB" 2376577 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1019 2370226 2371605 2372828 "REP2" 2375128 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1018 2366603 2367284 2368092 "REP1" 2369453 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1017 2359329 2364744 2365200 "REGSET" 2366233 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1016 2358142 2358477 2358727 "REF" 2359114 NIL REF (NIL T) -8 NIL NIL NIL) (-1015 2357519 2357622 2357789 "REDORDER" 2358026 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1014 2353524 2356732 2356959 "RECLOS" 2357347 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1013 2352576 2352757 2352972 "REALSOLV" 2353331 T REALSOLV (NIL) -7 NIL NIL NIL) (-1012 2352422 2352463 2352493 "REAL" 2352498 T REAL (NIL) -9 NIL 2352533 NIL) (-1011 2348905 2349707 2350591 "REAL0Q" 2351587 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1010 2344506 2345494 2346555 "REAL0" 2347886 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1009 2344004 2344223 2344317 "RDUCEAST" 2344434 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1008 2343409 2343481 2343688 "RDIV" 2343926 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1007 2342477 2342651 2342864 "RDIST" 2343231 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1006 2341074 2341361 2341733 "RDETRS" 2342185 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1005 2338886 2339340 2339878 "RDETR" 2340616 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1004 2337497 2337775 2338179 "RDEEFS" 2338602 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1003 2335992 2336298 2336730 "RDEEF" 2337185 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1002 2330253 2333128 2333158 "RCFIELD" 2334453 T RCFIELD (NIL) -9 NIL 2335183 NIL) (-1001 2328317 2328821 2329517 "RCFIELD-" 2329592 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1000 2324633 2326418 2326461 "RCAGG" 2327545 NIL RCAGG (NIL T) -9 NIL 2328010 NIL) (-999 2324263 2324357 2324518 "RCAGG-" 2324523 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-998 2323603 2323715 2323878 "RATRET" 2324147 NIL RATRET (NIL T) -7 NIL NIL NIL) (-997 2323160 2323227 2323346 "RATFACT" 2323531 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-996 2322475 2322595 2322745 "RANDSRC" 2323030 T RANDSRC (NIL) -7 NIL NIL NIL) (-995 2322212 2322256 2322327 "RADUTIL" 2322424 T RADUTIL (NIL) -7 NIL NIL NIL) (-994 2315374 2321054 2321362 "RADIX" 2321936 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-993 2307031 2315218 2315346 "RADFF" 2315351 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-992 2306683 2306758 2306786 "RADCAT" 2306943 T RADCAT (NIL) -9 NIL NIL NIL) (-991 2306468 2306516 2306613 "RADCAT-" 2306618 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-990 2304619 2306243 2306332 "QUEUE" 2306412 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-989 2301195 2304556 2304601 "QUAT" 2304606 NIL QUAT (NIL T) -8 NIL NIL NIL) (-988 2300833 2300876 2301003 "QUATCT2" 2301146 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-987 2294580 2297882 2297922 "QUATCAT" 2298702 NIL QUATCAT (NIL T) -9 NIL 2299468 NIL) (-986 2290724 2291761 2293148 "QUATCAT-" 2293242 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-985 2288244 2289808 2289849 "QUAGG" 2290224 NIL QUAGG (NIL T) -9 NIL 2290399 NIL) (-984 2287876 2288069 2288137 "QQUTAST" 2288196 T QQUTAST (NIL) -8 NIL NIL NIL) (-983 2286801 2287274 2287446 "QFORM" 2287748 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-982 2278013 2283218 2283258 "QFCAT" 2283916 NIL QFCAT (NIL T) -9 NIL 2284917 NIL) (-981 2273585 2274786 2276377 "QFCAT-" 2276471 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-980 2273223 2273266 2273393 "QFCAT2" 2273536 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-979 2272683 2272793 2272923 "QEQUAT" 2273113 T QEQUAT (NIL) -8 NIL NIL NIL) (-978 2265831 2266902 2268086 "QCMPACK" 2271616 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-977 2263407 2263828 2264256 "QALGSET" 2265486 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-976 2262652 2262826 2263058 "QALGSET2" 2263227 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-975 2261343 2261566 2261883 "PWFFINTB" 2262425 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-974 2259525 2259693 2260047 "PUSHVAR" 2261157 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-973 2255443 2256497 2256538 "PTRANFN" 2258422 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-972 2253845 2254136 2254458 "PTPACK" 2255154 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-971 2253477 2253534 2253643 "PTFUNC2" 2253782 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-970 2248004 2252349 2252390 "PTCAT" 2252686 NIL PTCAT (NIL T) -9 NIL 2252839 NIL) (-969 2247662 2247697 2247821 "PSQFR" 2247963 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-968 2246257 2246555 2246889 "PSEUDLIN" 2247360 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-967 2233027 2235391 2237715 "PSETPK" 2244017 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-966 2226071 2228785 2228881 "PSETCAT" 2231902 NIL PSETCAT (NIL T T T T) -9 NIL 2232716 NIL) (-965 2223907 2224541 2225362 "PSETCAT-" 2225367 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-964 2223256 2223421 2223449 "PSCURVE" 2223717 T PSCURVE (NIL) -9 NIL 2223884 NIL) (-963 2219612 2221094 2221159 "PSCAT" 2222003 NIL PSCAT (NIL T T T) -9 NIL 2222243 NIL) (-962 2218675 2218891 2219291 "PSCAT-" 2219296 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-961 2217407 2218040 2218245 "PRTITION" 2218490 T PRTITION (NIL) -8 NIL NIL NIL) (-960 2216909 2217128 2217220 "PRTDAST" 2217335 T PRTDAST (NIL) -8 NIL NIL NIL) (-959 2206007 2208213 2210401 "PRS" 2214771 NIL PRS (NIL T T) -7 NIL NIL NIL) (-958 2203865 2205357 2205397 "PRQAGG" 2205580 NIL PRQAGG (NIL T) -9 NIL 2205682 NIL) (-957 2203251 2203480 2203508 "PROPLOG" 2203693 T PROPLOG (NIL) -9 NIL 2203815 NIL) (-956 2200421 2201065 2201529 "PROPFRML" 2202819 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-955 2199881 2199991 2200121 "PROPERTY" 2200311 T PROPERTY (NIL) -8 NIL NIL NIL) (-954 2193966 2198047 2198867 "PRODUCT" 2199107 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-953 2191279 2193424 2193658 "PR" 2193777 NIL PR (NIL T T) -8 NIL NIL NIL) (-952 2191075 2191107 2191166 "PRINT" 2191240 T PRINT (NIL) -7 NIL NIL NIL) (-951 2190415 2190532 2190684 "PRIMES" 2190955 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-950 2188480 2188881 2189347 "PRIMELT" 2189994 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-949 2188209 2188258 2188286 "PRIMCAT" 2188410 T PRIMCAT (NIL) -9 NIL NIL NIL) (-948 2184370 2188147 2188192 "PRIMARR" 2188197 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-947 2183377 2183555 2183783 "PRIMARR2" 2184188 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-946 2183020 2183076 2183187 "PREASSOC" 2183315 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-945 2182495 2182628 2182656 "PPCURVE" 2182861 T PPCURVE (NIL) -9 NIL 2182997 NIL) (-944 2182117 2182290 2182373 "PORTNUM" 2182432 T PORTNUM (NIL) -8 NIL NIL NIL) (-943 2179476 2179875 2180467 "POLYROOT" 2181698 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-942 2173421 2179080 2179240 "POLY" 2179349 NIL POLY (NIL T) -8 NIL NIL NIL) (-941 2172804 2172862 2173096 "POLYLIFT" 2173357 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-940 2169079 2169528 2170157 "POLYCATQ" 2172349 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-939 2155896 2161254 2161319 "POLYCAT" 2164833 NIL POLYCAT (NIL T T T) -9 NIL 2166761 NIL) (-938 2149346 2151207 2153591 "POLYCAT-" 2153596 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-937 2148933 2149001 2149121 "POLY2UP" 2149272 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-936 2148565 2148622 2148731 "POLY2" 2148870 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-935 2147250 2147489 2147765 "POLUTIL" 2148339 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-934 2145605 2145882 2146213 "POLTOPOL" 2146972 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-933 2141123 2145541 2145587 "POINT" 2145592 NIL POINT (NIL T) -8 NIL NIL NIL) (-932 2139310 2139667 2140042 "PNTHEORY" 2140768 T PNTHEORY (NIL) -7 NIL NIL NIL) (-931 2137729 2138026 2138438 "PMTOOLS" 2139008 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-930 2137322 2137400 2137517 "PMSYM" 2137645 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-929 2136832 2136901 2137075 "PMQFCAT" 2137247 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-928 2136187 2136297 2136453 "PMPRED" 2136709 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-927 2135583 2135669 2135830 "PMPREDFS" 2136088 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-926 2134226 2134434 2134819 "PMPLCAT" 2135345 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-925 2133758 2133837 2133989 "PMLSAGG" 2134141 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-924 2133233 2133309 2133490 "PMKERNEL" 2133676 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-923 2132850 2132925 2133038 "PMINS" 2133152 NIL PMINS (NIL T) -7 NIL NIL NIL) (-922 2132278 2132347 2132563 "PMFS" 2132775 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-921 2131506 2131624 2131829 "PMDOWN" 2132155 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-920 2130669 2130828 2131010 "PMASS" 2131344 T PMASS (NIL) -7 NIL NIL NIL) (-919 2129943 2130054 2130217 "PMASSFS" 2130555 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-918 2129598 2129666 2129760 "PLOTTOOL" 2129869 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-917 2124220 2125409 2126557 "PLOT" 2128470 T PLOT (NIL) -8 NIL NIL NIL) (-916 2120034 2121068 2121989 "PLOT3D" 2123319 T PLOT3D (NIL) -8 NIL NIL NIL) (-915 2118946 2119123 2119358 "PLOT1" 2119838 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-914 2094340 2099012 2103863 "PLEQN" 2114212 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-913 2093658 2093780 2093960 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(NIL T T T T T) -7 NIL NIL NIL) (-900 2071753 2075054 2075123 "PF" 2075128 NIL PF (NIL NIL) -8 NIL NIL NIL) (-899 2069187 2070424 2070452 "PFECAT" 2071037 T PFECAT (NIL) -9 NIL 2071421 NIL) (-898 2068632 2068786 2069000 "PFECAT-" 2069005 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-897 2067236 2067487 2067788 "PFBRU" 2068381 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-896 2065103 2065454 2065886 "PFBR" 2066887 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-895 2061019 2062479 2063155 "PERM" 2064460 NIL PERM (NIL T) -8 NIL NIL NIL) (-894 2056285 2057226 2058096 "PERMGRP" 2060182 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-893 2054417 2055348 2055389 "PERMCAT" 2055835 NIL PERMCAT (NIL T) -9 NIL 2056140 NIL) (-892 2054070 2054111 2054235 "PERMAN" 2054370 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-891 2051606 2053735 2053857 "PENDTREE" 2053981 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-890 2049699 2050433 2050474 "PDRING" 2051131 NIL PDRING (NIL T) -9 NIL 2051417 NIL) (-889 2048802 2049020 2049382 "PDRING-" 2049387 NIL PDRING- (NIL T T) -8 NIL NIL NIL) (-888 2046044 2046795 2047463 "PDEPROB" 2048154 T PDEPROB (NIL) -8 NIL NIL NIL) (-887 2043591 2044093 2044648 "PDEPACK" 2045509 T PDEPACK (NIL) -7 NIL NIL NIL) (-886 2042503 2042693 2042944 "PDECOMP" 2043390 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-885 2040108 2040925 2040953 "PDECAT" 2041740 T PDECAT (NIL) -9 NIL 2042453 NIL) (-884 2039859 2039892 2039982 "PCOMP" 2040069 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-883 2038064 2038660 2038957 "PBWLB" 2039588 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-882 2030569 2032137 2033475 "PATTERN" 2036747 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-881 2030201 2030258 2030367 "PATTERN2" 2030506 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-880 2027958 2028346 2028803 "PATTERN1" 2029790 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-879 2025353 2025907 2026388 "PATRES" 2027523 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-878 2024917 2024984 2025116 "PATRES2" 2025280 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-877 2022800 2023205 2023612 "PATMATCH" 2024584 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-876 2022336 2022519 2022560 "PATMAB" 2022667 NIL PATMAB (NIL T) -9 NIL 2022750 NIL) (-875 2020881 2021190 2021448 "PATLRES" 2022141 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-874 2020427 2020550 2020591 "PATAB" 2020596 NIL PATAB (NIL T) -9 NIL 2020768 NIL) (-873 2017908 2018440 2019013 "PARTPERM" 2019874 T PARTPERM (NIL) -7 NIL NIL NIL) (-872 2017529 2017592 2017694 "PARSURF" 2017839 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-871 2017161 2017218 2017327 "PARSU2" 2017466 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-870 2016925 2016965 2017032 "PARSER" 2017114 T PARSER (NIL) -7 NIL NIL NIL) (-869 2016546 2016609 2016711 "PARSCURV" 2016856 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-868 2016178 2016235 2016344 "PARSC2" 2016483 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-867 2015817 2015875 2015972 "PARPCURV" 2016114 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-866 2015449 2015506 2015615 "PARPC2" 2015754 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-865 2014969 2015055 2015174 "PAN2EXPR" 2015350 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-864 2013775 2014090 2014318 "PALETTE" 2014761 T PALETTE (NIL) -8 NIL NIL NIL) (-863 2012243 2012780 2013140 "PAIR" 2013461 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-862 2006149 2011502 2011696 "PADICRC" 2012098 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-861 1999413 2005495 2005679 "PADICRAT" 2005997 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-860 1997763 1999350 1999395 "PADIC" 1999400 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-859 1994973 1996503 1996543 "PADICCT" 1997124 NIL PADICCT (NIL NIL) -9 NIL 1997406 NIL) (-858 1993930 1994130 1994398 "PADEPAC" 1994760 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-857 1993142 1993275 1993481 "PADE" 1993792 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-856 1991564 1992350 1992630 "OWP" 1992946 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-855 1990637 1991169 1991341 "OVAR" 1991432 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-854 1989901 1990022 1990183 "OUT" 1990496 T OUT (NIL) -7 NIL NIL NIL) (-853 1978808 1981010 1983210 "OUTFORM" 1987721 T OUTFORM (NIL) -8 NIL NIL NIL) (-852 1978229 1978405 1978532 "OUTBFILE" 1978701 T OUTBFILE (NIL) -8 NIL NIL NIL) (-851 1977866 1977949 1977977 "OUTBCON" 1978128 T OUTBCON (NIL) -9 NIL 1978213 NIL) (-850 1977706 1977741 1977817 "OUTBCON-" 1977822 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-849 1977114 1977435 1977524 "OSI" 1977637 T OSI (NIL) -8 NIL NIL NIL) (-848 1976670 1976982 1977010 "OSGROUP" 1977015 T OSGROUP (NIL) -9 NIL 1977037 NIL) (-847 1975415 1975642 1975927 "ORTHPOL" 1976417 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-846 1973001 1975250 1975371 "OREUP" 1975376 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-845 1970439 1972692 1972819 "ORESUP" 1972943 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-844 1967967 1968467 1969028 "OREPCTO" 1969928 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-843 1961791 1963958 1963999 "OREPCAT" 1966347 NIL OREPCAT (NIL T) -9 NIL 1967451 NIL) (-842 1958938 1959720 1960778 "OREPCAT-" 1960783 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-841 1958115 1958387 1958415 "ORDSET" 1958724 T ORDSET (NIL) -9 NIL 1958888 NIL) (-840 1957634 1957756 1957949 "ORDSET-" 1957954 NIL ORDSET- (NIL T) -8 NIL NIL NIL) (-839 1956268 1957025 1957053 "ORDRING" 1957255 T ORDRING (NIL) -9 NIL 1957380 NIL) (-838 1955913 1956007 1956151 "ORDRING-" 1956156 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-837 1955319 1955756 1955784 "ORDMON" 1955789 T ORDMON (NIL) -9 NIL 1955810 NIL) (-836 1954481 1954628 1954823 "ORDFUNS" 1955168 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-835 1953845 1954238 1954266 "ORDFIN" 1954331 T ORDFIN (NIL) -9 NIL 1954405 NIL) (-834 1950437 1952431 1952840 "ORDCOMP" 1953469 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-833 1949703 1949830 1950016 "ORDCOMP2" 1950297 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-832 1946311 1947194 1948008 "OPTPROB" 1948909 T OPTPROB (NIL) -8 NIL NIL NIL) (-831 1943113 1943752 1944456 "OPTPACK" 1945627 T OPTPACK (NIL) -7 NIL NIL NIL) (-830 1940826 1941566 1941594 "OPTCAT" 1942413 T OPTCAT (NIL) -9 NIL 1943063 NIL) (-829 1940269 1940503 1940608 "OPSIG" 1940741 T OPSIG (NIL) -8 NIL NIL NIL) (-828 1940037 1940076 1940142 "OPQUERY" 1940223 T OPQUERY (NIL) -7 NIL NIL NIL) (-827 1937203 1938348 1938852 "OP" 1939566 NIL OP (NIL T) -8 NIL NIL NIL) (-826 1936738 1936909 1936950 "OPERCAT" 1937085 NIL OPERCAT (NIL T) -9 NIL 1937153 NIL) (-825 1936584 1936611 1936697 "OPERCAT-" 1936702 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-824 1933429 1935381 1935750 "ONECOMP" 1936248 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-823 1932734 1932849 1933023 "ONECOMP2" 1933301 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-822 1932153 1932259 1932389 "OMSERVER" 1932624 T OMSERVER (NIL) -7 NIL NIL NIL) (-821 1929041 1931593 1931633 "OMSAGG" 1931694 NIL OMSAGG (NIL T) -9 NIL 1931758 NIL) (-820 1927664 1927927 1928209 "OMPKG" 1928779 T OMPKG (NIL) -7 NIL NIL NIL) (-819 1927094 1927197 1927225 "OM" 1927524 T OM (NIL) -9 NIL NIL NIL) (-818 1925676 1926643 1926812 "OMLO" 1926975 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-817 1924601 1924748 1924975 "OMEXPR" 1925502 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-816 1923919 1924147 1924283 "OMERR" 1924485 T OMERR (NIL) -8 NIL NIL NIL) (-815 1923097 1923340 1923500 "OMERRK" 1923779 T OMERRK (NIL) -8 NIL NIL NIL) (-814 1922575 1922774 1922882 "OMENC" 1923009 T OMENC (NIL) -8 NIL NIL NIL) (-813 1916470 1917655 1918826 "OMDEV" 1921424 T OMDEV (NIL) -8 NIL NIL NIL) (-812 1915539 1915710 1915904 "OMCONN" 1916296 T OMCONN (NIL) -8 NIL NIL NIL) (-811 1914160 1915102 1915130 "OINTDOM" 1915135 T OINTDOM (NIL) -9 NIL 1915156 NIL) (-810 1909966 1911150 1911866 "OFMONOID" 1913476 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-809 1909404 1909903 1909948 "ODVAR" 1909953 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-808 1906862 1909149 1909304 "ODR" 1909309 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-807 1899206 1906638 1906764 "ODPOL" 1906769 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-806 1893082 1899078 1899183 "ODP" 1899188 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-805 1891848 1892063 1892338 "ODETOOLS" 1892856 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-804 1888817 1889473 1890189 "ODESYS" 1891181 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-803 1883699 1884607 1885632 "ODERTRIC" 1887892 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-802 1883125 1883207 1883401 "ODERED" 1883611 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-801 1880013 1880561 1881238 "ODERAT" 1882548 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-800 1876973 1877437 1878034 "ODEPRRIC" 1879542 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-799 1874943 1875512 1875998 "ODEPROB" 1876507 T ODEPROB (NIL) -8 NIL NIL NIL) (-798 1871465 1871948 1872595 "ODEPRIM" 1874422 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-797 1870714 1870816 1871076 "ODEPAL" 1871357 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-796 1866876 1867667 1868531 "ODEPACK" 1869870 T ODEPACK (NIL) -7 NIL NIL NIL) (-795 1865909 1866016 1866245 "ODEINT" 1866765 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-794 1860010 1861435 1862882 "ODEIFTBL" 1864482 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-793 1855345 1856131 1857090 "ODEEF" 1859169 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-792 1854680 1854769 1854999 "ODECONST" 1855250 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-791 1852831 1853466 1853494 "ODECAT" 1854099 T ODECAT (NIL) -9 NIL 1854630 NIL) (-790 1849738 1852543 1852662 "OCT" 1852744 NIL OCT (NIL T) -8 NIL NIL NIL) (-789 1849376 1849419 1849546 "OCTCT2" 1849689 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-788 1844150 1846550 1846590 "OC" 1847687 NIL OC (NIL T) -9 NIL 1848545 NIL) (-787 1841377 1842125 1843115 "OC-" 1843209 NIL OC- (NIL T T) -8 NIL NIL NIL) (-786 1840755 1841197 1841225 "OCAMON" 1841230 T OCAMON (NIL) -9 NIL 1841251 NIL) (-785 1840312 1840627 1840655 "OASGP" 1840660 T OASGP (NIL) -9 NIL 1840680 NIL) (-784 1839599 1840062 1840090 "OAMONS" 1840130 T OAMONS (NIL) -9 NIL 1840173 NIL) (-783 1839039 1839446 1839474 "OAMON" 1839479 T OAMON (NIL) -9 NIL 1839499 NIL) (-782 1838343 1838835 1838863 "OAGROUP" 1838868 T OAGROUP (NIL) -9 NIL 1838888 NIL) (-781 1838033 1838083 1838171 "NUMTUBE" 1838287 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-780 1831606 1833124 1834660 "NUMQUAD" 1836517 T NUMQUAD (NIL) -7 NIL NIL NIL) (-779 1827362 1828350 1829375 "NUMODE" 1830601 T NUMODE (NIL) -7 NIL NIL NIL) (-778 1824743 1825597 1825625 "NUMINT" 1826548 T NUMINT (NIL) -9 NIL 1827312 NIL) (-777 1823691 1823888 1824106 "NUMFMT" 1824545 T NUMFMT (NIL) -7 NIL NIL NIL) (-776 1810050 1812995 1815527 "NUMERIC" 1821198 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-775 1804447 1809499 1809594 "NTSCAT" 1809599 NIL NTSCAT (NIL T T T T) -9 NIL 1809638 NIL) (-774 1803641 1803806 1803999 "NTPOLFN" 1804286 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-773 1791481 1800466 1801278 "NSUP" 1802862 NIL NSUP (NIL T) -8 NIL NIL NIL) (-772 1791113 1791170 1791279 "NSUP2" 1791418 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-771 1781110 1790887 1791020 "NSMP" 1791025 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-770 1779542 1779843 1780200 "NREP" 1780798 NIL NREP (NIL T) -7 NIL NIL NIL) (-769 1778133 1778385 1778743 "NPCOEF" 1779285 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-768 1777199 1777314 1777530 "NORMRETR" 1778014 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-767 1775240 1775530 1775939 "NORMPK" 1776907 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-766 1774925 1774953 1775077 "NORMMA" 1775206 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-765 1774752 1774882 1774911 "NONE" 1774916 T NONE (NIL) -8 NIL NIL NIL) (-764 1774541 1774570 1774639 "NONE1" 1774716 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-763 1774024 1774086 1774272 "NODE1" 1774473 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-762 1772295 1773118 1773373 "NNI" 1773720 T NNI (NIL) -8 NIL NIL 1773955) (-761 1770715 1771028 1771392 "NLINSOL" 1771963 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-760 1766983 1767951 1768850 "NIPROB" 1769836 T NIPROB (NIL) -8 NIL NIL NIL) (-759 1765740 1765974 1766276 "NFINTBAS" 1766745 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-758 1765190 1765390 1765431 "NETCLT" 1765603 NIL NETCLT (NIL T) -9 NIL 1765685 NIL) (-757 1763898 1764129 1764410 "NCODIV" 1764958 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-756 1763660 1763697 1763772 "NCNTFRAC" 1763855 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-755 1761840 1762204 1762624 "NCEP" 1763285 NIL NCEP (NIL T) -7 NIL NIL NIL) (-754 1760751 1761490 1761518 "NASRING" 1761628 T NASRING (NIL) -9 NIL 1761702 NIL) (-753 1760546 1760590 1760684 "NASRING-" 1760689 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-752 1759699 1760198 1760226 "NARNG" 1760343 T NARNG (NIL) -9 NIL 1760434 NIL) (-751 1759391 1759458 1759592 "NARNG-" 1759597 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-750 1758270 1758477 1758712 "NAGSP" 1759176 T NAGSP (NIL) -7 NIL NIL NIL) (-749 1749542 1751226 1752899 "NAGS" 1756617 T NAGS (NIL) -7 NIL NIL NIL) (-748 1748090 1748398 1748729 "NAGF07" 1749231 T NAGF07 (NIL) -7 NIL NIL NIL) (-747 1742628 1743919 1745226 "NAGF04" 1746803 T NAGF04 (NIL) -7 NIL NIL NIL) (-746 1735596 1737210 1738843 "NAGF02" 1741015 T NAGF02 (NIL) -7 NIL NIL NIL) (-745 1730820 1731920 1733037 "NAGF01" 1734499 T NAGF01 (NIL) -7 NIL NIL NIL) (-744 1724448 1726014 1727599 "NAGE04" 1729255 T NAGE04 (NIL) -7 NIL NIL NIL) (-743 1715617 1717738 1719868 "NAGE02" 1722338 T NAGE02 (NIL) -7 NIL NIL NIL) (-742 1711570 1712517 1713481 "NAGE01" 1714673 T NAGE01 (NIL) -7 NIL NIL NIL) (-741 1709365 1709899 1710457 "NAGD03" 1711032 T NAGD03 (NIL) -7 NIL NIL NIL) (-740 1701115 1703043 1704997 "NAGD02" 1707431 T NAGD02 (NIL) -7 NIL NIL NIL) (-739 1694926 1696351 1697791 "NAGD01" 1699695 T NAGD01 (NIL) -7 NIL NIL NIL) (-738 1691135 1691957 1692794 "NAGC06" 1694109 T NAGC06 (NIL) -7 NIL NIL NIL) (-737 1689600 1689932 1690288 "NAGC05" 1690799 T NAGC05 (NIL) -7 NIL NIL NIL) (-736 1688976 1689095 1689239 "NAGC02" 1689476 T NAGC02 (NIL) -7 NIL NIL NIL) (-735 1688036 1688593 1688633 "NAALG" 1688712 NIL NAALG (NIL T) -9 NIL 1688773 NIL) (-734 1687871 1687900 1687990 "NAALG-" 1687995 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-733 1681821 1682929 1684116 "MULTSQFR" 1686767 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-732 1681140 1681215 1681399 "MULTFACT" 1681733 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-731 1674233 1678103 1678156 "MTSCAT" 1679226 NIL MTSCAT (NIL T T) -9 NIL 1679740 NIL) (-730 1673945 1673999 1674091 "MTHING" 1674173 NIL MTHING (NIL T) -7 NIL NIL NIL) (-729 1673737 1673770 1673830 "MSYSCMD" 1673905 T MSYSCMD (NIL) -7 NIL NIL NIL) (-728 1669849 1672492 1672812 "MSET" 1673450 NIL MSET (NIL T) -8 NIL NIL NIL) (-727 1666944 1669410 1669451 "MSETAGG" 1669456 NIL MSETAGG (NIL T) -9 NIL 1669490 NIL) (-726 1662827 1664323 1665068 "MRING" 1666244 NIL MRING (NIL T T) -8 NIL NIL NIL) (-725 1662393 1662460 1662591 "MRF2" 1662754 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-724 1662011 1662046 1662190 "MRATFAC" 1662352 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-723 1659623 1659918 1660349 "MPRFF" 1661716 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-722 1653683 1659477 1659574 "MPOLY" 1659579 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-721 1653173 1653208 1653416 "MPCPF" 1653642 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-720 1652687 1652730 1652914 "MPC3" 1653124 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-719 1651882 1651963 1652184 "MPC2" 1652602 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-718 1650183 1650520 1650910 "MONOTOOL" 1651542 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-717 1649434 1649725 1649753 "MONOID" 1649972 T MONOID (NIL) -9 NIL 1650119 NIL) (-716 1648980 1649099 1649280 "MONOID-" 1649285 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-715 1639839 1645747 1645806 "MONOGEN" 1646480 NIL MONOGEN (NIL T T) -9 NIL 1646936 NIL) (-714 1637057 1637792 1638792 "MONOGEN-" 1638911 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-713 1635916 1636336 1636364 "MONADWU" 1636756 T MONADWU (NIL) -9 NIL 1636994 NIL) (-712 1635288 1635447 1635695 "MONADWU-" 1635700 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-711 1634673 1634891 1634919 "MONAD" 1635126 T MONAD (NIL) -9 NIL 1635238 NIL) (-710 1634358 1634436 1634568 "MONAD-" 1634573 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-709 1632674 1633271 1633550 "MOEBIUS" 1634111 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-708 1632066 1632444 1632484 "MODULE" 1632489 NIL MODULE (NIL T) -9 NIL 1632515 NIL) (-707 1631634 1631730 1631920 "MODULE-" 1631925 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-706 1629349 1629998 1630325 "MODRING" 1631458 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-705 1626335 1627454 1627975 "MODOP" 1628878 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-704 1624950 1625402 1625679 "MODMONOM" 1626198 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-703 1614757 1623241 1623655 "MODMON" 1624587 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-702 1611948 1613601 1613877 "MODFIELD" 1614632 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-701 1610952 1611229 1611419 "MMLFORM" 1611778 T MMLFORM (NIL) -8 NIL NIL NIL) (-700 1610478 1610521 1610700 "MMAP" 1610903 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-699 1608695 1609428 1609469 "MLO" 1609892 NIL MLO (NIL T) -9 NIL 1610134 NIL) (-698 1606062 1606577 1607179 "MLIFT" 1608176 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-697 1605453 1605537 1605691 "MKUCFUNC" 1605973 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-696 1605052 1605122 1605245 "MKRECORD" 1605376 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-695 1604100 1604261 1604489 "MKFUNC" 1604863 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-694 1603488 1603592 1603748 "MKFLCFN" 1603983 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-693 1603031 1603398 1603457 "MKCHSET" 1603462 NIL MKCHSET (NIL T) -8 NIL NIL NIL) (-692 1602308 1602410 1602595 "MKBCFUNC" 1602924 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-691 1599050 1601862 1601998 "MINT" 1602192 T MINT (NIL) -8 NIL NIL NIL) (-690 1597862 1598105 1598382 "MHROWRED" 1598805 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-689 1593288 1596397 1596802 "MFLOAT" 1597477 T MFLOAT (NIL) -8 NIL NIL NIL) (-688 1592645 1592721 1592892 "MFINFACT" 1593200 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-687 1588960 1589808 1590692 "MESH" 1591781 T MESH (NIL) -7 NIL NIL NIL) (-686 1587350 1587662 1588015 "MDDFACT" 1588647 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-685 1584192 1586509 1586550 "MDAGG" 1586805 NIL MDAGG (NIL T) -9 NIL 1586948 NIL) (-684 1573970 1583485 1583692 "MCMPLX" 1584005 T MCMPLX (NIL) -8 NIL NIL NIL) (-683 1573111 1573257 1573457 "MCDEN" 1573819 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-682 1571001 1571271 1571651 "MCALCFN" 1572841 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-681 1569926 1570166 1570399 "MAYBE" 1570807 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-680 1567538 1568061 1568623 "MATSTOR" 1569397 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-679 1563544 1566910 1567158 "MATRIX" 1567323 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-678 1559313 1560017 1560753 "MATLIN" 1562901 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-677 1549467 1552605 1552682 "MATCAT" 1557562 NIL MATCAT (NIL T T T) -9 NIL 1558979 NIL) (-676 1545831 1546844 1548200 "MATCAT-" 1548205 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-675 1544425 1544578 1544911 "MATCAT2" 1545666 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-674 1542537 1542861 1543245 "MAPPKG3" 1544100 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-673 1541518 1541691 1541913 "MAPPKG2" 1542361 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-672 1540017 1540301 1540628 "MAPPKG1" 1541224 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-671 1539123 1539423 1539600 "MAPPAST" 1539860 T MAPPAST (NIL) -8 NIL NIL NIL) (-670 1538734 1538792 1538915 "MAPHACK3" 1539059 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-669 1538326 1538387 1538501 "MAPHACK2" 1538666 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-668 1537764 1537867 1538009 "MAPHACK1" 1538217 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-667 1535870 1536464 1536768 "MAGMA" 1537492 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-666 1535376 1535594 1535685 "MACROAST" 1535799 T MACROAST (NIL) -8 NIL NIL NIL) (-665 1531843 1533615 1534076 "M3D" 1534948 NIL M3D (NIL T) -8 NIL NIL NIL) (-664 1525997 1530212 1530253 "LZSTAGG" 1531035 NIL LZSTAGG (NIL T) -9 NIL 1531330 NIL) (-663 1521971 1523128 1524585 "LZSTAGG-" 1524590 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-662 1519085 1519862 1520349 "LWORD" 1521516 NIL LWORD (NIL T) -8 NIL NIL NIL) (-661 1518688 1518889 1518964 "LSTAST" 1519030 T LSTAST (NIL) -8 NIL NIL NIL) (-660 1511889 1518459 1518593 "LSQM" 1518598 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-659 1511113 1511252 1511480 "LSPP" 1511744 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-658 1508925 1509226 1509682 "LSMP" 1510802 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-657 1505704 1506378 1507108 "LSMP1" 1508227 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-656 1499629 1504871 1504912 "LSAGG" 1504974 NIL LSAGG (NIL T) -9 NIL 1505052 NIL) (-655 1496324 1497248 1498461 "LSAGG-" 1498466 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-654 1493950 1495468 1495717 "LPOLY" 1496119 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-653 1493532 1493617 1493740 "LPEFRAC" 1493859 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-652 1491879 1492626 1492879 "LO" 1493364 NIL LO (NIL T T T) -8 NIL NIL NIL) (-651 1491531 1491643 1491671 "LOGIC" 1491782 T LOGIC (NIL) -9 NIL 1491863 NIL) (-650 1491393 1491416 1491487 "LOGIC-" 1491492 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-649 1490586 1490726 1490919 "LODOOPS" 1491249 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-648 1488044 1490502 1490568 "LODO" 1490573 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-647 1486582 1486817 1487170 "LODOF" 1487791 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-646 1482938 1485335 1485376 "LODOCAT" 1485814 NIL LODOCAT (NIL T) -9 NIL 1486025 NIL) (-645 1482671 1482729 1482856 "LODOCAT-" 1482861 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-644 1480026 1482512 1482630 "LODO2" 1482635 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-643 1477496 1479963 1480008 "LODO1" 1480013 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-642 1476356 1476521 1476833 "LODEEF" 1477319 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-641 1471642 1474486 1474527 "LNAGG" 1475474 NIL LNAGG (NIL T) -9 NIL 1475918 NIL) (-640 1470789 1471003 1471345 "LNAGG-" 1471350 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-639 1466952 1467714 1468353 "LMOPS" 1470204 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-638 1466347 1466709 1466750 "LMODULE" 1466811 NIL LMODULE (NIL T) -9 NIL 1466853 NIL) (-637 1463593 1465992 1466115 "LMDICT" 1466257 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-636 1463319 1463501 1463561 "LITERAL" 1463566 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-635 1456546 1462265 1462563 "LIST" 1463054 NIL LIST (NIL T) -8 NIL NIL NIL) (-634 1456071 1456145 1456284 "LIST3" 1456466 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-633 1455078 1455256 1455484 "LIST2" 1455889 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-632 1453212 1453524 1453923 "LIST2MAP" 1454725 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-631 1451942 1452578 1452619 "LINEXP" 1452874 NIL LINEXP (NIL T) -9 NIL 1453023 NIL) (-630 1450589 1450849 1451146 "LINDEP" 1451694 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-629 1447356 1448075 1448852 "LIMITRF" 1449844 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-628 1445632 1445927 1446343 "LIMITPS" 1447051 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-627 1440087 1445143 1445371 "LIE" 1445453 NIL LIE (NIL T T) -8 NIL NIL NIL) (-626 1439136 1439579 1439619 "LIECAT" 1439759 NIL LIECAT (NIL T) -9 NIL 1439910 NIL) (-625 1438977 1439004 1439092 "LIECAT-" 1439097 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-624 1431589 1438426 1438591 "LIB" 1438832 T LIB (NIL) -8 NIL NIL NIL) (-623 1427226 1428107 1429042 "LGROBP" 1430706 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-622 1425092 1425366 1425728 "LF" 1426947 NIL LF (NIL T T) -7 NIL NIL NIL) (-621 1423932 1424624 1424652 "LFCAT" 1424859 T LFCAT (NIL) -9 NIL 1424998 NIL) (-620 1420836 1421464 1422152 "LEXTRIPK" 1423296 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-619 1417607 1418406 1418909 "LEXP" 1420416 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-618 1417110 1417328 1417420 "LETAST" 1417535 T LETAST (NIL) -8 NIL NIL NIL) (-617 1415508 1415821 1416222 "LEADCDET" 1416792 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-616 1414698 1414772 1415001 "LAZM3PK" 1415429 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-615 1409653 1412775 1413313 "LAUPOL" 1414210 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-614 1409218 1409262 1409430 "LAPLACE" 1409603 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-613 1407192 1408319 1408570 "LA" 1409051 NIL LA (NIL T T T) -8 NIL NIL NIL) (-612 1406273 1406823 1406864 "LALG" 1406926 NIL LALG (NIL T) -9 NIL 1406985 NIL) (-611 1405987 1406046 1406182 "LALG-" 1406187 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-610 1405822 1405846 1405887 "KVTFROM" 1405949 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-609 1404625 1405039 1405268 "KTVLOGIC" 1405613 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-608 1404460 1404484 1404525 "KRCFROM" 1404587 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-607 1403364 1403551 1403850 "KOVACIC" 1404260 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-606 1403199 1403223 1403264 "KONVERT" 1403326 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-605 1403034 1403058 1403099 "KOERCE" 1403161 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-604 1400768 1401528 1401921 "KERNEL" 1402673 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-603 1400270 1400351 1400481 "KERNEL2" 1400682 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-602 1394121 1398809 1398863 "KDAGG" 1399240 NIL KDAGG (NIL T T) -9 NIL 1399446 NIL) (-601 1393650 1393774 1393979 "KDAGG-" 1393984 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-600 1386825 1393311 1393466 "KAFILE" 1393528 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-599 1381280 1386336 1386564 "JORDAN" 1386646 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-598 1380686 1380929 1381050 "JOINAST" 1381179 T JOINAST (NIL) -8 NIL NIL NIL) (-597 1380532 1380591 1380646 "JAVACODE" 1380651 T JAVACODE (NIL) -8 NIL NIL NIL) (-596 1376831 1378737 1378791 "IXAGG" 1379720 NIL IXAGG (NIL T T) -9 NIL 1380179 NIL) (-595 1375750 1376056 1376475 "IXAGG-" 1376480 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-594 1371330 1375672 1375731 "IVECTOR" 1375736 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-593 1370096 1370333 1370599 "ITUPLE" 1371097 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-592 1368532 1368709 1369015 "ITRIGMNP" 1369918 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-591 1367277 1367481 1367764 "ITFUN3" 1368308 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-590 1366909 1366966 1367075 "ITFUN2" 1367214 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-589 1364746 1365771 1366070 "ITAYLOR" 1366643 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-588 1353729 1358883 1360046 "ISUPS" 1363616 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-587 1352833 1352973 1353209 "ISUMP" 1353576 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-586 1348097 1352634 1352713 "ISTRING" 1352786 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-585 1347600 1347818 1347910 "ISAST" 1348025 T ISAST (NIL) -8 NIL NIL NIL) (-584 1346810 1346891 1347107 "IRURPK" 1347514 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-583 1345746 1345947 1346187 "IRSN" 1346590 T IRSN (NIL) -7 NIL NIL NIL) (-582 1343775 1344130 1344566 "IRRF2F" 1345384 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-581 1343522 1343560 1343636 "IRREDFFX" 1343731 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-580 1342137 1342396 1342695 "IROOT" 1343255 NIL IROOT (NIL T) -7 NIL NIL NIL) (-579 1338769 1339821 1340513 "IR" 1341477 NIL IR (NIL T) -8 NIL NIL NIL) (-578 1336382 1336877 1337443 "IR2" 1338247 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-577 1335454 1335567 1335788 "IR2F" 1336265 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-576 1335245 1335279 1335339 "IPRNTPK" 1335414 T IPRNTPK (NIL) -7 NIL NIL NIL) (-575 1331864 1335134 1335203 "IPF" 1335208 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-574 1330227 1331789 1331846 "IPADIC" 1331851 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-573 1329567 1329787 1329917 "IP4ADDR" 1330117 T IP4ADDR (NIL) -8 NIL NIL NIL) (-572 1329067 1329271 1329381 "IOMODE" 1329477 T IOMODE (NIL) -8 NIL NIL NIL) (-571 1328425 1328664 1328791 "IOBFILE" 1328960 T IOBFILE (NIL) -8 NIL NIL NIL) (-570 1328189 1328329 1328357 "IOBCON" 1328362 T IOBCON (NIL) -9 NIL 1328383 NIL) (-569 1327686 1327744 1327934 "INVLAPLA" 1328125 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-568 1317335 1319688 1322074 "INTTR" 1325350 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-567 1313679 1314421 1315285 "INTTOOLS" 1316520 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-566 1313265 1313356 1313473 "INTSLPE" 1313582 T INTSLPE (NIL) -7 NIL NIL NIL) (-565 1311260 1313188 1313247 "INTRVL" 1313252 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-564 1308862 1309374 1309949 "INTRF" 1310745 NIL INTRF (NIL T) -7 NIL NIL NIL) (-563 1308273 1308370 1308512 "INTRET" 1308760 NIL INTRET (NIL T) -7 NIL NIL NIL) (-562 1306270 1306659 1307129 "INTRAT" 1307881 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-561 1303498 1304081 1304707 "INTPM" 1305755 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-560 1300201 1300800 1301545 "INTPAF" 1302884 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-559 1295380 1296342 1297393 "INTPACK" 1299170 T INTPACK (NIL) -7 NIL NIL NIL) (-558 1292292 1295109 1295236 "INT" 1295273 T INT (NIL) -8 NIL NIL NIL) (-557 1291544 1291696 1291904 "INTHERTR" 1292134 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-556 1290983 1291063 1291251 "INTHERAL" 1291458 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-555 1288829 1289272 1289729 "INTHEORY" 1290546 T INTHEORY (NIL) -7 NIL NIL NIL) (-554 1280137 1281758 1283537 "INTG0" 1287181 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-553 1260710 1265500 1270310 "INTFTBL" 1275347 T INTFTBL (NIL) -8 NIL NIL NIL) (-552 1259959 1260097 1260270 "INTFACT" 1260569 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-551 1257344 1257790 1258354 "INTEF" 1259513 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-550 1255811 1256516 1256544 "INTDOM" 1256845 T INTDOM (NIL) -9 NIL 1257052 NIL) (-549 1255180 1255354 1255596 "INTDOM-" 1255601 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-548 1251675 1253564 1253618 "INTCAT" 1254417 NIL INTCAT (NIL T) -9 NIL 1254737 NIL) (-547 1251148 1251250 1251378 "INTBIT" 1251567 T INTBIT (NIL) -7 NIL NIL NIL) (-546 1249819 1249973 1250287 "INTALG" 1250993 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-545 1249276 1249366 1249536 "INTAF" 1249723 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-544 1242730 1249086 1249226 "INTABL" 1249231 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-543 1237745 1240419 1240447 "INS" 1241381 T INS (NIL) -9 NIL 1242046 NIL) (-542 1234985 1235756 1236730 "INS-" 1236803 NIL INS- (NIL T) -8 NIL NIL NIL) (-541 1233760 1233987 1234285 "INPSIGN" 1234738 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-540 1232878 1232995 1233192 "INPRODPF" 1233640 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-539 1231772 1231889 1232126 "INPRODFF" 1232758 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-538 1230772 1230924 1231184 "INNMFACT" 1231608 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-537 1229969 1230066 1230254 "INMODGCD" 1230671 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-536 1228478 1228722 1229046 "INFSP" 1229714 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-535 1227662 1227779 1227962 "INFPROD0" 1228358 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-534 1224544 1225727 1226242 "INFORM" 1227155 T INFORM (NIL) -8 NIL NIL NIL) (-533 1224154 1224214 1224312 "INFORM1" 1224479 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-532 1223677 1223766 1223880 "INFINITY" 1224060 T INFINITY (NIL) -7 NIL NIL NIL) (-531 1223138 1223397 1223498 "INETCLTS" 1223596 T INETCLTS (NIL) -8 NIL NIL NIL) (-530 1221755 1222004 1222325 "INEP" 1222886 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-529 1221031 1221652 1221717 "INDE" 1221722 NIL INDE (NIL T) -8 NIL NIL NIL) (-528 1220595 1220663 1220780 "INCRMAPS" 1220958 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-527 1219613 1219864 1220070 "INBFILE" 1220409 T INBFILE (NIL) -8 NIL NIL NIL) (-526 1214924 1215849 1216793 "INBFF" 1218701 NIL INBFF (NIL T) -7 NIL NIL NIL) (-525 1214593 1214669 1214697 "INBCON" 1214830 T INBCON (NIL) -9 NIL 1214908 NIL) (-524 1214433 1214468 1214544 "INBCON-" 1214549 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-523 1213935 1214154 1214246 "INAST" 1214361 T INAST (NIL) -8 NIL NIL NIL) (-522 1213389 1213614 1213720 "IMPTAST" 1213849 T IMPTAST (NIL) -8 NIL NIL NIL) (-521 1209883 1213233 1213337 "IMATRIX" 1213342 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-520 1208595 1208718 1209033 "IMATQF" 1209739 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-519 1206815 1207042 1207379 "IMATLIN" 1208351 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-518 1201441 1206739 1206797 "ILIST" 1206802 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-517 1199394 1201301 1201414 "IIARRAY2" 1201419 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-516 1194827 1199305 1199369 "IFF" 1199374 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-515 1194201 1194444 1194560 "IFAST" 1194731 T IFAST (NIL) -8 NIL NIL NIL) (-514 1189244 1193493 1193681 "IFARRAY" 1194058 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-513 1188451 1189148 1189221 "IFAMON" 1189226 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-512 1188035 1188100 1188154 "IEVALAB" 1188361 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-511 1187710 1187778 1187938 "IEVALAB-" 1187943 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-510 1187368 1187624 1187687 "IDPO" 1187692 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-509 1186645 1187257 1187332 "IDPOAMS" 1187337 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-508 1185979 1186534 1186609 "IDPOAM" 1186614 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-507 1185064 1185314 1185367 "IDPC" 1185780 NIL IDPC (NIL T T) -9 NIL 1185929 NIL) (-506 1184560 1184956 1185029 "IDPAM" 1185034 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-505 1183963 1184452 1184525 "IDPAG" 1184530 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-504 1183731 1183878 1183928 "IDENT" 1183933 T IDENT (NIL) -8 NIL NIL NIL) (-503 1179986 1180834 1181729 "IDECOMP" 1182888 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-502 1172860 1173909 1174956 "IDEAL" 1179022 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-501 1172024 1172136 1172335 "ICDEN" 1172744 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-500 1171123 1171504 1171651 "ICARD" 1171897 T ICARD (NIL) -8 NIL NIL NIL) (-499 1169183 1169496 1169901 "IBPTOOLS" 1170800 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-498 1164817 1168803 1168916 "IBITS" 1169102 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-497 1161540 1162116 1162811 "IBATOOL" 1164234 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-496 1159320 1159781 1160314 "IBACHIN" 1161075 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-495 1157197 1159166 1159269 "IARRAY2" 1159274 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-494 1153350 1157123 1157180 "IARRAY1" 1157185 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-493 1147344 1151762 1152243 "IAN" 1152889 T IAN (NIL) -8 NIL NIL NIL) (-492 1146855 1146912 1147085 "IALGFACT" 1147281 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-491 1146383 1146496 1146524 "HYPCAT" 1146731 T HYPCAT (NIL) -9 NIL NIL NIL) (-490 1145921 1146038 1146224 "HYPCAT-" 1146229 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-489 1145543 1145716 1145799 "HOSTNAME" 1145858 T HOSTNAME (NIL) -8 NIL NIL NIL) (-488 1145388 1145425 1145466 "HOMOTOP" 1145471 NIL HOMOTOP (NIL T) -9 NIL 1145504 NIL) (-487 1142067 1143398 1143439 "HOAGG" 1144420 NIL HOAGG (NIL T) -9 NIL 1145099 NIL) (-486 1140661 1141060 1141586 "HOAGG-" 1141591 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-485 1134703 1140258 1140406 "HEXADEC" 1140533 T HEXADEC (NIL) -8 NIL NIL NIL) (-484 1133451 1133673 1133936 "HEUGCD" 1134480 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-483 1132554 1133288 1133418 "HELLFDIV" 1133423 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-482 1130782 1132331 1132419 "HEAP" 1132498 NIL HEAP (NIL T) -8 NIL NIL NIL) (-481 1130073 1130334 1130468 "HEADAST" 1130668 T HEADAST (NIL) -8 NIL NIL NIL) (-480 1123993 1129988 1130050 "HDP" 1130055 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-479 1117744 1123628 1123780 "HDMP" 1123894 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-478 1117069 1117208 1117372 "HB" 1117600 T HB (NIL) -7 NIL NIL NIL) (-477 1110566 1116915 1117019 "HASHTBL" 1117024 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-476 1110069 1110287 1110379 "HASAST" 1110494 T HASAST (NIL) -8 NIL NIL NIL) (-475 1107881 1109691 1109873 "HACKPI" 1109907 T HACKPI (NIL) -8 NIL NIL NIL) (-474 1103576 1107734 1107847 "GTSET" 1107852 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-473 1097102 1103454 1103552 "GSTBL" 1103557 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-472 1089415 1096133 1096398 "GSERIES" 1096893 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-471 1088582 1088973 1089001 "GROUP" 1089204 T GROUP (NIL) -9 NIL 1089338 NIL) (-470 1087948 1088107 1088358 "GROUP-" 1088363 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-469 1086317 1086636 1087023 "GROEBSOL" 1087625 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-468 1085257 1085519 1085570 "GRMOD" 1086099 NIL GRMOD (NIL T T) -9 NIL 1086267 NIL) (-467 1085025 1085061 1085189 "GRMOD-" 1085194 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-466 1080351 1081379 1082379 "GRIMAGE" 1084045 T GRIMAGE (NIL) -8 NIL NIL NIL) (-465 1078818 1079078 1079402 "GRDEF" 1080047 T GRDEF (NIL) -7 NIL NIL NIL) (-464 1078262 1078378 1078519 "GRAY" 1078697 T GRAY (NIL) -7 NIL NIL NIL) (-463 1077475 1077855 1077906 "GRALG" 1078059 NIL GRALG (NIL T T) -9 NIL 1078152 NIL) (-462 1077136 1077209 1077372 "GRALG-" 1077377 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-461 1073940 1076721 1076899 "GPOLSET" 1077043 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-460 1073294 1073351 1073609 "GOSPER" 1073877 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-459 1069053 1069732 1070258 "GMODPOL" 1072993 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-458 1068058 1068242 1068480 "GHENSEL" 1068865 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-457 1062109 1062952 1063979 "GENUPS" 1067142 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-456 1061806 1061857 1061946 "GENUFACT" 1062052 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-455 1061218 1061295 1061460 "GENPGCD" 1061724 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-454 1060692 1060727 1060940 "GENMFACT" 1061177 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-453 1059260 1059515 1059822 "GENEEZ" 1060435 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-452 1053173 1058871 1059033 "GDMP" 1059183 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-451 1042550 1046944 1048050 "GCNAALG" 1052156 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-450 1040977 1041805 1041833 "GCDDOM" 1042088 T GCDDOM (NIL) -9 NIL 1042245 NIL) (-449 1040447 1040574 1040789 "GCDDOM-" 1040794 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-448 1039119 1039304 1039608 "GB" 1040226 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-447 1027739 1030065 1032457 "GBINTERN" 1036810 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-446 1025576 1025868 1026289 "GBF" 1027414 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-445 1024357 1024522 1024789 "GBEUCLID" 1025392 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-444 1023706 1023831 1023980 "GAUSSFAC" 1024228 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-443 1022073 1022375 1022689 "GALUTIL" 1023425 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-442 1020381 1020655 1020979 "GALPOLYU" 1021800 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-441 1017746 1018036 1018443 "GALFACTU" 1020078 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-440 1009552 1011051 1012659 "GALFACT" 1016178 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-439 1006940 1007598 1007626 "FVFUN" 1008782 T FVFUN (NIL) -9 NIL 1009502 NIL) (-438 1006206 1006388 1006416 "FVC" 1006707 T FVC (NIL) -9 NIL 1006890 NIL) (-437 1005848 1006003 1006084 "FUNCTION" 1006158 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-436 1003619 1004170 1004636 "FT" 1005402 T FT (NIL) -8 NIL NIL NIL) (-435 1002437 1002920 1003123 "FTEM" 1003436 T FTEM (NIL) -8 NIL NIL NIL) (-434 1000693 1000982 1001386 "FSUPFACT" 1002128 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-433 999090 999379 999711 "FST" 1000381 T FST (NIL) -8 NIL NIL NIL) (-432 998261 998367 998562 "FSRED" 998972 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-431 996940 997195 997549 "FSPRMELT" 997976 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-430 994025 994463 994962 "FSPECF" 996503 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-429 976085 984528 984568 "FS" 988416 NIL FS (NIL T) -9 NIL 990705 NIL) (-428 964735 967725 971781 "FS-" 972078 NIL FS- (NIL T T) -8 NIL NIL NIL) (-427 964249 964303 964480 "FSINT" 964676 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-426 962576 963242 963545 "FSERIES" 964028 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-425 961590 961706 961937 "FSCINT" 962456 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-424 957824 960534 960575 "FSAGG" 960945 NIL FSAGG (NIL T) -9 NIL 961204 NIL) (-423 955586 956187 956983 "FSAGG-" 957078 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-422 954628 954771 954998 "FSAGG2" 955439 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-421 952283 952562 953116 "FS2UPS" 954346 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-420 951865 951908 952063 "FS2" 952234 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-419 950722 950893 951202 "FS2EXPXP" 951690 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-418 950148 950263 950415 "FRUTIL" 950602 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-417 941603 945643 947001 "FR" 948822 NIL FR (NIL T) -8 NIL NIL NIL) (-416 936678 939321 939361 "FRNAALG" 940757 NIL FRNAALG (NIL T) -9 NIL 941364 NIL) (-415 932356 933427 934702 "FRNAALG-" 935452 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-414 931994 932037 932164 "FRNAAF2" 932307 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-413 930401 930848 931143 "FRMOD" 931806 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-412 928180 928784 929101 "FRIDEAL" 930192 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-411 927375 927462 927751 "FRIDEAL2" 928087 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-410 926508 926922 926963 "FRETRCT" 926968 NIL FRETRCT (NIL T) -9 NIL 927144 NIL) (-409 925620 925851 926202 "FRETRCT-" 926207 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-408 922832 924008 924067 "FRAMALG" 924949 NIL FRAMALG (NIL T T) -9 NIL 925241 NIL) (-407 920966 921421 922051 "FRAMALG-" 922274 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-406 914924 920441 920717 "FRAC" 920722 NIL FRAC (NIL T) -8 NIL NIL NIL) (-405 914560 914617 914724 "FRAC2" 914861 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-404 914196 914253 914360 "FR2" 914497 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-403 908869 911721 911749 "FPS" 912868 T FPS (NIL) -9 NIL 913425 NIL) (-402 908318 908427 908591 "FPS-" 908737 NIL FPS- (NIL T) -8 NIL NIL NIL) (-401 905772 907407 907435 "FPC" 907660 T FPC (NIL) -9 NIL 907802 NIL) (-400 905565 905605 905702 "FPC-" 905707 NIL FPC- (NIL T) -8 NIL NIL NIL) (-399 904443 905053 905094 "FPATMAB" 905099 NIL FPATMAB (NIL T) -9 NIL 905251 NIL) (-398 902143 902619 903045 "FPARFRAC" 904080 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-397 897537 898035 898717 "FORTRAN" 901575 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-396 895253 895753 896292 "FORT" 897018 T FORT (NIL) -7 NIL NIL NIL) (-395 892929 893491 893519 "FORTFN" 894579 T FORTFN (NIL) -9 NIL 895203 NIL) (-394 892693 892743 892771 "FORTCAT" 892830 T FORTCAT (NIL) -9 NIL 892892 NIL) (-393 890826 891309 891699 "FORMULA" 892323 T FORMULA (NIL) -8 NIL NIL NIL) (-392 890614 890644 890713 "FORMULA1" 890790 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-391 890137 890189 890362 "FORDER" 890556 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-390 889233 889397 889590 "FOP" 889964 T FOP (NIL) -7 NIL NIL NIL) (-389 887841 888513 888687 "FNLA" 889115 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-388 886596 886985 887013 "FNCAT" 887473 T FNCAT (NIL) -9 NIL 887733 NIL) (-387 886162 886555 886583 "FNAME" 886588 T FNAME (NIL) -8 NIL NIL NIL) (-386 884825 885754 885782 "FMTC" 885787 T FMTC (NIL) -9 NIL 885823 NIL) (-385 881187 882348 882977 "FMONOID" 884229 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-384 880406 880929 881078 "FM" 881083 NIL FM (NIL T T) -8 NIL NIL NIL) (-383 877830 878476 878504 "FMFUN" 879648 T FMFUN (NIL) -9 NIL 880356 NIL) (-382 877099 877280 877308 "FMC" 877598 T FMC (NIL) -9 NIL 877780 NIL) (-381 874293 875127 875181 "FMCAT" 876376 NIL FMCAT (NIL T T) -9 NIL 876871 NIL) (-380 873186 874059 874159 "FM1" 874238 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-379 870960 871376 871870 "FLOATRP" 872737 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-378 864584 868689 869310 "FLOAT" 870359 T FLOAT (NIL) -8 NIL NIL NIL) (-377 862022 862522 863100 "FLOATCP" 864051 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-376 860831 861635 861676 "FLINEXP" 861681 NIL FLINEXP (NIL T) -9 NIL 861774 NIL) (-375 859985 860220 860548 "FLINEXP-" 860553 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-374 859061 859205 859429 "FLASORT" 859837 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-373 856278 857120 857172 "FLALG" 858399 NIL FLALG (NIL T T) -9 NIL 858866 NIL) (-372 850062 853764 853805 "FLAGG" 855067 NIL FLAGG (NIL T) -9 NIL 855719 NIL) (-371 848788 849127 849617 "FLAGG-" 849622 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-370 847830 847973 848200 "FLAGG2" 848641 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-369 844805 845779 845838 "FINRALG" 846966 NIL FINRALG (NIL T T) -9 NIL 847474 NIL) (-368 843965 844194 844533 "FINRALG-" 844538 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-367 843371 843584 843612 "FINITE" 843808 T FINITE (NIL) -9 NIL 843915 NIL) (-366 835829 837990 838030 "FINAALG" 841697 NIL FINAALG (NIL T) -9 NIL 843150 NIL) (-365 831170 832211 833355 "FINAALG-" 834734 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-364 830565 830925 831028 "FILE" 831100 NIL FILE (NIL T) -8 NIL NIL NIL) (-363 829249 829561 829615 "FILECAT" 830299 NIL FILECAT (NIL T T) -9 NIL 830515 NIL) (-362 827117 828611 828639 "FIELD" 828679 T FIELD (NIL) -9 NIL 828759 NIL) (-361 825737 826122 826633 "FIELD-" 826638 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-360 823615 824372 824719 "FGROUP" 825423 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-359 822705 822869 823089 "FGLMICPK" 823447 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-358 818572 822630 822687 "FFX" 822692 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-357 818173 818234 818369 "FFSLPE" 818505 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-356 814166 814945 815741 "FFPOLY" 817409 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-355 813670 813706 813915 "FFPOLY2" 814124 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-354 809556 813589 813652 "FFP" 813657 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-353 804989 809467 809531 "FF" 809536 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-352 800150 804332 804522 "FFNBX" 804843 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-351 795124 799285 799543 "FFNBP" 800004 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-350 789792 794408 794619 "FFNB" 794957 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-349 788624 788822 789137 "FFINTBAS" 789589 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-348 784852 787031 787059 "FFIELDC" 787679 T FFIELDC (NIL) -9 NIL 788055 NIL) (-347 783515 783885 784382 "FFIELDC-" 784387 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-346 783085 783130 783254 "FFHOM" 783457 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-345 780783 781267 781784 "FFF" 782600 NIL FFF (NIL T) -7 NIL NIL NIL) (-344 776436 780525 780626 "FFCGX" 780726 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-343 772103 776168 776275 "FFCGP" 776379 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-342 767321 771830 771938 "FFCG" 772039 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-341 749154 758192 758278 "FFCAT" 763443 NIL FFCAT (NIL T T T) -9 NIL 764894 NIL) (-340 744352 745399 746713 "FFCAT-" 747943 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-339 743763 743806 744041 "FFCAT2" 744303 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-338 732975 736735 737955 "FEXPR" 742615 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-337 731975 732410 732451 "FEVALAB" 732535 NIL FEVALAB (NIL T) -9 NIL 732796 NIL) (-336 731134 731344 731682 "FEVALAB-" 731687 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-335 729727 730517 730720 "FDIV" 731033 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-334 726793 727508 727623 "FDIVCAT" 729191 NIL FDIVCAT (NIL T T T T) -9 NIL 729628 NIL) (-333 726555 726582 726752 "FDIVCAT-" 726757 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-332 725775 725862 726139 "FDIV2" 726462 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-331 724461 724720 725009 "FCPAK1" 725506 T FCPAK1 (NIL) -7 NIL NIL NIL) (-330 723589 723961 724102 "FCOMP" 724352 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-329 707326 710739 714277 "FC" 720071 T FC (NIL) -8 NIL NIL NIL) (-328 699905 703890 703930 "FAXF" 705732 NIL FAXF (NIL T) -9 NIL 706424 NIL) (-327 697184 697839 698664 "FAXF-" 699129 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-326 692284 696560 696736 "FARRAY" 697041 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-325 687537 689569 689622 "FAMR" 690645 NIL FAMR (NIL T T) -9 NIL 691105 NIL) (-324 686427 686729 687164 "FAMR-" 687169 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-323 685623 686349 686402 "FAMONOID" 686407 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-322 683435 684119 684172 "FAMONC" 685113 NIL FAMONC (NIL T T) -9 NIL 685499 NIL) (-321 682127 683189 683326 "FAGROUP" 683331 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-320 679922 680241 680644 "FACUTIL" 681808 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-319 679021 679206 679428 "FACTFUNC" 679732 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-318 671426 678272 678484 "EXPUPXS" 678877 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-317 668909 669449 670035 "EXPRTUBE" 670860 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-316 665103 665695 666432 "EXPRODE" 668248 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-315 650477 663758 664186 "EXPR" 664707 NIL EXPR (NIL T) -8 NIL NIL NIL) (-314 644884 645471 646284 "EXPR2UPS" 649775 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-313 644520 644577 644684 "EXPR2" 644821 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-312 635925 643652 643949 "EXPEXPAN" 644357 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-311 635752 635882 635911 "EXIT" 635916 T EXIT (NIL) -8 NIL NIL NIL) (-310 635259 635476 635567 "EXITAST" 635681 T EXITAST (NIL) -8 NIL NIL NIL) (-309 634886 634948 635061 "EVALCYC" 635191 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-308 634427 634545 634586 "EVALAB" 634756 NIL EVALAB (NIL T) -9 NIL 634860 NIL) (-307 633908 634030 634251 "EVALAB-" 634256 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-306 631376 632644 632672 "EUCDOM" 633227 T EUCDOM (NIL) -9 NIL 633577 NIL) (-305 629781 630223 630813 "EUCDOM-" 630818 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-304 617321 620079 622829 "ESTOOLS" 627051 T ESTOOLS (NIL) -7 NIL NIL NIL) (-303 616953 617010 617119 "ESTOOLS2" 617258 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-302 616704 616746 616826 "ESTOOLS1" 616905 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-301 610609 612337 612365 "ES" 615133 T ES (NIL) -9 NIL 616542 NIL) (-300 605557 606843 608660 "ES-" 608824 NIL ES- (NIL T) -8 NIL NIL NIL) (-299 601932 602692 603472 "ESCONT" 604797 T ESCONT (NIL) -7 NIL NIL NIL) (-298 601677 601709 601791 "ESCONT1" 601894 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-297 601352 601402 601502 "ES2" 601621 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-296 600982 601040 601149 "ES1" 601288 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-295 600198 600327 600503 "ERROR" 600826 T ERROR (NIL) -7 NIL NIL NIL) (-294 593701 600057 600148 "EQTBL" 600153 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-293 586258 589015 590464 "EQ" 592285 NIL -3318 (NIL T) -8 NIL NIL NIL) (-292 585890 585947 586056 "EQ2" 586195 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-291 581182 582228 583321 "EP" 584829 NIL EP (NIL T) -7 NIL NIL NIL) (-290 579764 580065 580382 "ENV" 580885 T ENV (NIL) -8 NIL NIL NIL) (-289 578943 579463 579491 "ENTIRER" 579496 T ENTIRER (NIL) -9 NIL 579542 NIL) (-288 575445 576898 577268 "EMR" 578742 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-287 574589 574774 574828 "ELTAGG" 575208 NIL ELTAGG (NIL T T) -9 NIL 575419 NIL) (-286 574308 574370 574511 "ELTAGG-" 574516 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-285 574097 574126 574180 "ELTAB" 574264 NIL ELTAB (NIL T T) -9 NIL NIL NIL) (-284 573223 573369 573568 "ELFUTS" 573948 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-283 572965 573021 573049 "ELEMFUN" 573154 T ELEMFUN (NIL) -9 NIL NIL NIL) (-282 572835 572856 572924 "ELEMFUN-" 572929 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-281 567726 570935 570976 "ELAGG" 571916 NIL ELAGG (NIL T) -9 NIL 572379 NIL) (-280 566011 566445 567108 "ELAGG-" 567113 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-279 564668 564948 565243 "ELABEXPR" 565736 T ELABEXPR (NIL) -8 NIL NIL NIL) (-278 557534 559335 560162 "EFUPXS" 563944 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-277 550984 552785 553595 "EFULS" 556810 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-276 548406 548764 549243 "EFSTRUC" 550616 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-275 537478 539043 540603 "EF" 546921 NIL EF (NIL T T) -7 NIL NIL NIL) (-274 536579 536963 537112 "EAB" 537349 T EAB (NIL) -8 NIL NIL NIL) (-273 535788 536538 536566 "E04UCFA" 536571 T E04UCFA (NIL) -8 NIL NIL NIL) (-272 534997 535747 535775 "E04NAFA" 535780 T E04NAFA (NIL) -8 NIL NIL NIL) (-271 534206 534956 534984 "E04MBFA" 534989 T E04MBFA (NIL) -8 NIL NIL NIL) (-270 533415 534165 534193 "E04JAFA" 534198 T E04JAFA (NIL) -8 NIL NIL NIL) (-269 532626 533374 533402 "E04GCFA" 533407 T E04GCFA (NIL) -8 NIL NIL NIL) (-268 531837 532585 532613 "E04FDFA" 532618 T E04FDFA (NIL) -8 NIL NIL NIL) (-267 531046 531796 531824 "E04DGFA" 531829 T E04DGFA (NIL) -8 NIL NIL NIL) (-266 525224 526571 527935 "E04AGNT" 529702 T E04AGNT (NIL) -7 NIL NIL NIL) (-265 523930 524410 524450 "DVARCAT" 524925 NIL DVARCAT (NIL T) -9 NIL 525124 NIL) (-264 523134 523346 523660 "DVARCAT-" 523665 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-263 516034 522933 523062 "DSMP" 523067 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-262 510844 511979 513047 "DROPT" 514986 T DROPT (NIL) -8 NIL NIL NIL) (-261 510509 510568 510666 "DROPT1" 510779 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-260 505624 506750 507887 "DROPT0" 509392 T DROPT0 (NIL) -7 NIL NIL NIL) (-259 503969 504294 504680 "DRAWPT" 505258 T DRAWPT (NIL) -7 NIL NIL NIL) (-258 498556 499479 500558 "DRAW" 502943 NIL DRAW (NIL T) -7 NIL NIL NIL) (-257 498189 498242 498360 "DRAWHACK" 498497 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-256 496920 497189 497480 "DRAWCX" 497918 T DRAWCX (NIL) -7 NIL NIL NIL) (-255 496436 496504 496655 "DRAWCURV" 496846 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-254 486907 488866 490981 "DRAWCFUN" 494341 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-253 483720 485602 485643 "DQAGG" 486272 NIL DQAGG (NIL T) -9 NIL 486545 NIL) (-252 471999 478698 478781 "DPOLCAT" 480633 NIL DPOLCAT (NIL T T T T) -9 NIL 481178 NIL) (-251 466838 468184 470142 "DPOLCAT-" 470147 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-250 459993 466699 466797 "DPMO" 466802 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-249 453051 459773 459940 "DPMM" 459945 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-248 452715 452970 453018 "DOMCTOR" 453023 T DOMCTOR (NIL) -8 NIL NIL NIL) (-247 452010 452237 452374 "DOMAIN" 452598 T DOMAIN (NIL) -8 NIL NIL NIL) (-246 445761 451645 451797 "DMP" 451911 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-245 445361 445417 445561 "DLP" 445699 NIL DLP (NIL T) -7 NIL NIL NIL) (-244 439231 444688 444878 "DLIST" 445203 NIL DLIST (NIL T) -8 NIL NIL NIL) (-243 436075 438084 438125 "DLAGG" 438675 NIL DLAGG (NIL T) -9 NIL 438905 NIL) (-242 434888 435518 435546 "DIVRING" 435638 T DIVRING (NIL) -9 NIL 435721 NIL) (-241 434125 434315 434615 "DIVRING-" 434620 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-240 432227 432584 432990 "DISPLAY" 433739 T DISPLAY (NIL) -7 NIL NIL NIL) (-239 426169 432141 432204 "DIRPROD" 432209 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-238 425017 425220 425485 "DIRPROD2" 425962 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-237 414280 420232 420285 "DIRPCAT" 420695 NIL DIRPCAT (NIL NIL T) -9 NIL 421535 NIL) (-236 411606 412248 413129 "DIRPCAT-" 413466 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-235 410893 411053 411239 "DIOSP" 411440 T DIOSP (NIL) -7 NIL NIL NIL) (-234 407595 409805 409846 "DIOPS" 410280 NIL DIOPS (NIL T) -9 NIL 410509 NIL) (-233 407144 407258 407449 "DIOPS-" 407454 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-232 406036 406630 406658 "DIFRING" 406845 T DIFRING (NIL) -9 NIL 406955 NIL) (-231 405682 405759 405911 "DIFRING-" 405916 NIL DIFRING- (NIL T) -8 NIL NIL NIL) (-230 403487 404725 404766 "DIFEXT" 405129 NIL DIFEXT (NIL T) -9 NIL 405423 NIL) (-229 401772 402200 402866 "DIFEXT-" 402871 NIL DIFEXT- (NIL T T) -8 NIL NIL NIL) (-228 399094 401304 401345 "DIAGG" 401350 NIL DIAGG (NIL T) -9 NIL 401370 NIL) (-227 398478 398635 398887 "DIAGG-" 398892 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-226 393943 397437 397714 "DHMATRIX" 398247 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-225 389555 390464 391474 "DFSFUN" 392953 T DFSFUN (NIL) -7 NIL NIL NIL) (-224 384671 388486 388798 "DFLOAT" 389263 T DFLOAT (NIL) -8 NIL NIL NIL) (-223 382899 383180 383576 "DFINTTLS" 384379 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-222 379964 380920 381320 "DERHAM" 382565 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-221 377813 379739 379828 "DEQUEUE" 379908 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-220 377028 377161 377357 "DEGRED" 377675 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-219 373423 374168 375021 "DEFINTRF" 376256 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-218 370950 371419 372018 "DEFINTEF" 372942 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-217 370327 370570 370685 "DEFAST" 370855 T DEFAST (NIL) -8 NIL NIL NIL) (-216 364369 369924 370072 "DECIMAL" 370199 T DECIMAL (NIL) -8 NIL NIL NIL) (-215 361881 362339 362845 "DDFACT" 363913 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-214 361477 361520 361671 "DBLRESP" 361832 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-213 359376 359710 360070 "DBASE" 361244 NIL DBASE (NIL T) -8 NIL NIL NIL) (-212 358645 358856 359002 "DATAARY" 359275 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-211 357778 358604 358632 "D03FAFA" 358637 T D03FAFA (NIL) -8 NIL NIL NIL) (-210 356912 357737 357765 "D03EEFA" 357770 T D03EEFA (NIL) -8 NIL NIL NIL) (-209 354862 355328 355817 "D03AGNT" 356443 T D03AGNT (NIL) -7 NIL NIL NIL) (-208 354178 354821 354849 "D02EJFA" 354854 T D02EJFA (NIL) -8 NIL NIL NIL) (-207 353494 354137 354165 "D02CJFA" 354170 T D02CJFA (NIL) -8 NIL NIL NIL) (-206 352810 353453 353481 "D02BHFA" 353486 T D02BHFA (NIL) -8 NIL NIL NIL) (-205 352126 352769 352797 "D02BBFA" 352802 T D02BBFA (NIL) -8 NIL NIL NIL) (-204 345324 346912 348518 "D02AGNT" 350540 T D02AGNT (NIL) -7 NIL NIL NIL) (-203 343093 343615 344161 "D01WGTS" 344798 T D01WGTS (NIL) -7 NIL NIL NIL) (-202 342188 343052 343080 "D01TRNS" 343085 T D01TRNS (NIL) -8 NIL NIL NIL) (-201 341283 342147 342175 "D01GBFA" 342180 T D01GBFA (NIL) -8 NIL NIL NIL) (-200 340378 341242 341270 "D01FCFA" 341275 T D01FCFA (NIL) -8 NIL NIL NIL) (-199 339473 340337 340365 "D01ASFA" 340370 T D01ASFA (NIL) -8 NIL NIL NIL) (-198 338568 339432 339460 "D01AQFA" 339465 T D01AQFA (NIL) -8 NIL NIL NIL) (-197 337663 338527 338555 "D01APFA" 338560 T D01APFA (NIL) -8 NIL NIL NIL) (-196 336758 337622 337650 "D01ANFA" 337655 T D01ANFA (NIL) -8 NIL NIL NIL) (-195 335853 336717 336745 "D01AMFA" 336750 T D01AMFA (NIL) -8 NIL NIL NIL) (-194 334948 335812 335840 "D01ALFA" 335845 T D01ALFA (NIL) -8 NIL NIL NIL) (-193 334043 334907 334935 "D01AKFA" 334940 T D01AKFA (NIL) -8 NIL NIL NIL) (-192 333138 334002 334030 "D01AJFA" 334035 T D01AJFA (NIL) -8 NIL NIL NIL) (-191 326435 327986 329547 "D01AGNT" 331597 T D01AGNT (NIL) -7 NIL NIL NIL) (-190 325772 325900 326052 "CYCLOTOM" 326303 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-189 322507 323220 323947 "CYCLES" 325065 T CYCLES (NIL) -7 NIL NIL NIL) (-188 321819 321953 322124 "CVMP" 322368 NIL CVMP (NIL T) -7 NIL NIL NIL) (-187 319590 319848 320224 "CTRIGMNP" 321547 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-186 319313 319549 319577 "CTOR" 319582 T CTOR (NIL) -8 NIL NIL NIL) (-185 318849 319044 319145 "CTORKIND" 319232 T CTORKIND (NIL) -8 NIL NIL NIL) (-184 318320 318548 318576 "CTORCAT" 318696 T CTORCAT (NIL) -9 NIL 318779 NIL) (-183 318015 318095 318221 "CTORCAT-" 318226 NIL CTORCAT- 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COMBINAT (NIL T) -7 NIL NIL NIL) (-157 255985 256558 257198 "COMBF" 259209 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-156 254771 255101 255336 "COLOR" 255770 T COLOR (NIL) -8 NIL NIL NIL) (-155 254274 254492 254584 "COLONAST" 254699 T COLONAST (NIL) -8 NIL NIL NIL) (-154 253914 253961 254086 "CMPLXRT" 254221 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-153 253389 253614 253713 "CLLCTAST" 253835 T CLLCTAST (NIL) -8 NIL NIL NIL) (-152 248891 249919 250999 "CLIP" 252329 T CLIP (NIL) -7 NIL NIL NIL) (-151 247273 247997 248236 "CLIF" 248718 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-150 243495 245419 245460 "CLAGG" 246389 NIL CLAGG (NIL T) -9 NIL 246925 NIL) (-149 241917 242374 242957 "CLAGG-" 242962 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-148 241461 241546 241686 "CINTSLPE" 241826 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-147 238962 239433 239981 "CHVAR" 240989 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-146 238205 238725 238753 "CHARZ" 238758 T CHARZ (NIL) -9 NIL 238773 NIL) (-145 237959 237999 238077 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"CAPSLAST" 220433 T CAPSLAST (NIL) -8 NIL NIL NIL) (-131 219463 219791 219819 "CACHSET" 219951 T CACHSET (NIL) -9 NIL 220028 NIL) (-130 218959 219255 219283 "CABMON" 219333 T CABMON (NIL) -9 NIL 219389 NIL) (-129 218107 218505 218641 "BYTE" 218804 T BYTE (NIL) -8 NIL NIL 218920) (-128 213516 217575 217738 "BYTEBUF" 217964 T BYTEBUF (NIL) -8 NIL NIL NIL) (-127 211073 213208 213315 "BTREE" 213442 NIL BTREE (NIL T) -8 NIL NIL NIL) (-126 208571 210721 210843 "BTOURN" 210983 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-125 205988 208041 208082 "BTCAT" 208150 NIL BTCAT (NIL T) -9 NIL 208227 NIL) (-124 205655 205735 205884 "BTCAT-" 205889 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-123 200947 204798 204826 "BTAGG" 205048 T BTAGG (NIL) -9 NIL 205209 NIL) (-122 200437 200562 200768 "BTAGG-" 200773 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-121 197481 199715 199930 "BSTREE" 200254 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-120 196619 196745 196929 "BRILL" 197337 NIL BRILL (NIL T) -7 NIL NIL NIL) (-119 193318 195345 195386 "BRAGG" 196035 NIL BRAGG (NIL T) -9 NIL 196293 NIL) (-118 191847 192253 192808 "BRAGG-" 192813 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-117 185111 191193 191377 "BPADICRT" 191695 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-116 183461 185048 185093 "BPADIC" 185098 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-115 183159 183189 183303 "BOUNDZRO" 183425 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-114 178674 179765 180632 "BOP" 182312 T BOP (NIL) -8 NIL NIL NIL) (-113 176295 176739 177259 "BOP1" 178187 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-112 174997 175719 175912 "BOOLEAN" 176122 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 174359 174737 174791 "BMODULE" 174796 NIL BMODULE (NIL T T) -9 NIL 174861 NIL) (-110 170189 174157 174230 "BITS" 174306 T BITS (NIL) -8 NIL NIL NIL) (-109 169601 169723 169865 "BINDING" 170067 T BINDING (NIL) -8 NIL NIL NIL) (-108 163646 169200 169347 "BINARY" 169474 T BINARY (NIL) -8 NIL NIL NIL) (-107 161473 162901 162942 "BGAGG" 163202 NIL BGAGG (NIL T) -9 NIL 163339 NIL) (-106 161304 161336 161427 "BGAGG-" 161432 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 160402 160688 160893 "BFUNCT" 161119 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 159092 159270 159558 "BEZOUT" 160226 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 155609 157944 158274 "BBTREE" 158795 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 155343 155396 155424 "BASTYPE" 155543 T BASTYPE (NIL) -9 NIL NIL NIL) (-101 155196 155224 155297 "BASTYPE-" 155302 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 154630 154706 154858 "BALFACT" 155107 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 153513 154045 154231 "AUTOMOR" 154475 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 153239 153244 153270 "ATTREG" 153275 T ATTREG (NIL) -9 NIL NIL NIL) (-97 151518 151936 152288 "ATTRBUT" 152905 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 151153 151346 151412 "ATTRAST" 151470 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 150689 150802 150828 "ATRIG" 151029 T ATRIG (NIL) -9 NIL NIL NIL) (-94 150498 150539 150626 "ATRIG-" 150631 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 150169 150329 150355 "ASTCAT" 150360 T ASTCAT (NIL) -9 NIL 150390 NIL) (-92 149896 149955 150074 "ASTCAT-" 150079 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 148093 149672 149760 "ASTACK" 149839 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 146598 146895 147260 "ASSOCEQ" 147775 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 145630 146257 146381 "ASP9" 146505 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 145394 145578 145617 "ASP8" 145622 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 144263 144999 145141 "ASP80" 145283 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 143162 143898 144030 "ASP7" 144162 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 142116 142839 142957 "ASP78" 143075 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 141085 141796 141913 "ASP77" 142030 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 139997 140723 140854 "ASP74" 140985 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 138897 139632 139764 "ASP73" 139896 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 138001 138723 138823 "ASP6" 138828 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 136949 137678 137796 "ASP55" 137914 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 135899 136623 136742 "ASP50" 136861 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 134987 135600 135710 "ASP4" 135820 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 134075 134688 134798 "ASP49" 134908 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 132860 133614 133782 "ASP42" 133964 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 131637 132393 132563 "ASP41" 132747 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 130587 131314 131432 "ASP35" 131550 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 130352 130535 130574 "ASP34" 130579 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 130089 130156 130232 "ASP33" 130307 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 128984 129724 129856 "ASP31" 129988 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 128749 128932 128971 "ASP30" 128976 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 128484 128553 128629 "ASP29" 128704 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 128249 128432 128471 "ASP28" 128476 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 128014 128197 128236 "ASP27" 128241 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 127098 127712 127823 "ASP24" 127934 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 126175 126900 127012 "ASP20" 127017 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 125263 125876 125986 "ASP1" 126096 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 124207 124937 125056 "ASP19" 125175 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 123944 124011 124087 "ASP12" 124162 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 122796 123543 123687 "ASP10" 123831 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 120695 122640 122731 "ARRAY2" 122736 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 116511 120343 120457 "ARRAY1" 120612 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 115543 115716 115937 "ARRAY12" 116334 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 109902 111773 111848 "ARR2CAT" 114478 NIL ARR2CAT (NIL T T T) -9 NIL 115236 NIL) (-56 107336 108080 109034 "ARR2CAT-" 109039 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 106930 107163 107242 "ARITY" 107275 T ARITY (NIL) -8 NIL NIL NIL) (-54 105678 105830 106136 "APPRULE" 106766 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 105329 105377 105496 "APPLYORE" 105624 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 104303 104594 104789 "ANY" 105152 T ANY (NIL) -8 NIL NIL NIL) (-51 103581 103704 103861 "ANY1" 104177 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 101146 102018 102345 "ANTISYM" 103305 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 100661 100850 100947 "ANON" 101067 T ANON (NIL) -8 NIL NIL NIL) (-48 94793 99200 99654 "AN" 100225 T AN (NIL) -8 NIL NIL NIL) (-47 91049 92403 92454 "AMR" 93202 NIL AMR (NIL T T) -9 NIL 93802 NIL) (-46 90161 90382 90745 "AMR-" 90750 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 74711 90078 90139 "ALIST" 90144 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 71548 74305 74474 "ALGSC" 74629 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 68104 68658 69265 "ALGPKG" 70988 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 67381 67482 67666 "ALGMFACT" 67990 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 63120 63805 64460 "ALGMANIP" 66904 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 54526 62746 62896 "ALGFF" 63053 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 53722 53853 54032 "ALGFACT" 54384 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 52787 53353 53391 "ALGEBRA" 53396 NIL ALGEBRA (NIL T) -9 NIL 53437 NIL) (-37 52505 52564 52696 "ALGEBRA-" 52701 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 34764 50507 50559 "ALAGG" 50695 NIL ALAGG (NIL T T) -9 NIL 50856 NIL) (-35 34300 34413 34439 "AHYP" 34640 T AHYP (NIL) -9 NIL NIL NIL) (-34 33231 33479 33505 "AGG" 34004 T AGG (NIL) -9 NIL 34283 NIL) (-33 32665 32827 33041 "AGG-" 33046 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 30342 30764 31182 "AF" 32307 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 29849 30067 30157 "ADDAST" 30270 T ADDAST (NIL) -8 NIL NIL NIL) (-30 29118 29376 29532 "ACPLOT" 29711 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 18410 26331 26382 "ACFS" 27093 NIL ACFS (NIL T) -9 NIL 27332 NIL) (-28 16424 16914 17689 "ACFS-" 17694 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 12697 14591 14617 "ACF" 15496 T ACF (NIL) -9 NIL 15908 NIL) (-26 11401 11735 12228 "ACF-" 12233 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 10999 11168 11194 "ABELSG" 11286 T ABELSG (NIL) -9 NIL 11351 NIL) (-24 10866 10891 10957 "ABELSG-" 10962 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 10235 10496 10522 "ABELMON" 10692 T ABELMON (NIL) -9 NIL 10804 NIL) (-22 9899 9983 10121 "ABELMON-" 10126 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 9233 9579 9605 "ABELGRP" 9730 T ABELGRP (NIL) -9 NIL 9812 NIL) (-20 8696 8825 9041 "ABELGRP-" 9046 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4333 8035 8074 "A1AGG" 8079 NIL A1AGG (NIL T) -9 NIL 8119 NIL) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL NIL))
\ No newline at end of file diff --git a/src/share/algebra/operation.daase b/src/share/algebra/operation.daase index 26e9c78d..10c78694 100644 --- a/src/share/algebra/operation.daase +++ b/src/share/algebra/operation.daase @@ -1,53 +1,90 @@ -(734313 . 3440274384) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-224)) (-5 *4 (-558)) (-5 *2 (-1025)) (-5 *1 (-749))))) -(((*1 *2 *3 *3 *4 *4 *4 *4 *3 *3 *3 *3 *5 *3 *6) - (-12 (-5 *3 (-558)) (-5 *5 (-679 (-224))) - (-5 *6 (-3 (|:| |fn| (-387)) (|:| |fp| (-70 APROD)))) (-5 *4 (-224)) - (-5 *2 (-1025)) (-5 *1 (-747))))) -(((*1 *1 *1) (-5 *1 (-1051)))) -(((*1 *2 *3) - (-12 (-5 *3 (-635 (-558))) (-5 *2 (-894 (-558))) (-5 *1 (-907)))) - ((*1 *2) (-12 (-5 *2 (-894 (-558))) (-5 *1 (-907))))) -(((*1 *2 *1 *1) - (-12 (-4 *1 (-1000 *3)) (-4 *3 (-1200)) (-4 *3 (-1087)) - (-5 *2 (-112))))) -(((*1 *2 *2) (-12 (-5 *2 (-558)) (-5 *1 (-917))))) +(734351 . 3440285147) +(((*1 *2 *3 *3 *3 *4 *4 *4 *4 *4 *5 *3 *3 *3 *6 *4 *3) + (-12 (-5 *4 (-679 (-224))) (-5 *5 (-679 (-558))) (-5 *6 (-224)) + (-5 *3 (-558)) (-5 *2 (-1025)) (-5 *1 (-743))))) (((*1 *2 *3) - (-12 (-5 *3 (-679 (-406 (-942 (-558))))) + (-12 (-5 *3 (-1246 *1)) (-4 *1 (-366 *4)) (-4 *4 (-171)) + (-5 *2 (-679 *4)))) + ((*1 *2) + (-12 (-4 *4 (-171)) (-5 *2 (-679 *4)) (-5 *1 (-415 *3 *4)) + (-4 *3 (-416 *4)))) + ((*1 *2) (-12 (-4 *1 (-416 *3)) (-4 *3 (-171)) (-5 *2 (-679 *3))))) +(((*1 *2 *3 *4) + (-12 (-4 *5 (-362)) (-5 *2 - (-635 - (-2 (|:| |radval| (-315 (-558))) (|:| |radmult| (-558)) - (|:| |radvect| (-635 (-679 (-315 (-558)))))))) - (-5 *1 (-1021))))) -(((*1 *2 *3) (-12 (-5 *3 (-933 *2)) (-5 *1 (-972 *2)) (-4 *2 (-1039))))) -(((*1 *2 *2 *3) - (-12 (-4 *3 (-1039)) (-5 *1 (-442 *3 *2)) (-4 *2 (-1222 *3))))) + (-2 (|:| A (-679 *5)) + (|:| |eqs| + (-635 + (-2 (|:| C (-679 *5)) (|:| |g| (-1246 *5)) (|:| -2442 *6) + (|:| |rh| *5)))))) + (-5 *1 (-804 *5 *6)) (-5 *3 (-679 *5)) (-5 *4 (-1246 *5)) + (-4 *6 (-646 *5)))) + ((*1 *2 *3 *4) + (-12 (-4 *5 (-362)) (-4 *6 (-646 *5)) + (-5 *2 (-2 (|:| -2582 (-679 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(-5 *2 (-1025)) (-5 *1 (-740))))) + (-12 (-5 *3 (-679 *8)) (-5 *4 (-762)) (-4 *8 (-939 *5 *7 *6)) + (-4 *5 (-13 (-306) (-146))) (-4 *6 (-13 (-841) (-606 (-1163)))) + (-4 *7 (-784)) + (-5 *2 + (-635 + (-2 (|:| |det| *8) (|:| |rows| (-635 (-558))) + (|:| |cols| (-635 (-558)))))) + (-5 *1 (-914 *5 *6 *7 *8))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-143))))) +(((*1 *1 *1) + (-12 (-4 *1 (-1053 *2 *3 *4)) (-4 *2 (-1039)) (-4 *3 (-784)) + (-4 *4 (-841)) (-4 *2 (-450))))) (((*1 *2 *2 *3 *3) (-12 (-5 *3 (-406 *5)) (-4 *4 (-1204)) (-4 *5 (-1222 *4)) (-5 *1 (-147 *4 *5 *2)) (-4 *2 (-1222 *3)))) @@ -147,9 +184,9 @@ ((*1 *2 *1 *3) (-12 (-4 *1 (-1224 *3 *4)) (-4 *3 (-1039)) (-4 *4 (-783)) (|has| *3 (-15 ** (*3 *3 *4))) (-5 *2 (-1143 *3))))) -(((*1 *2 *3) - (-12 (-5 *3 (-911)) (-5 *2 (-1159 *4)) (-5 *1 (-356 *4)) - (-4 *4 (-348))))) +(((*1 *1 *1 *2) + (-12 (-5 *2 (-3 (-112) "failed")) (-4 *3 (-450)) (-4 *4 (-841)) + (-4 *5 (-784)) (-5 *1 (-977 *3 *4 *5 *6)) (-4 *6 (-939 *3 *5 *4))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) (-4 *2 (-13 (-429 *3) (-992))))) @@ -182,64 +219,66 @@ ((*1 *1 *1 *2) (-12 (-5 *2 (-762)) (-5 *1 (-1266 *3 *4)) (-4 *4 (-708 (-406 (-558)))) (-4 *3 (-841)) (-4 *4 (-171))))) -(((*1 *2 *3 *3) - (-12 (-4 *2 (-550)) (-4 *2 (-450)) (-5 *1 (-959 *2 *3)) - (-4 *3 (-1222 *2))))) -(((*1 *2 *2 *3) - (-12 (-4 *4 (-13 (-362) (-146) (-1028 (-406 (-558))))) - (-4 *3 (-1222 *4)) (-5 *1 (-800 *4 *3 *2 *5)) (-4 *2 (-646 *3)) - (-4 *5 (-646 (-406 *3))))) - ((*1 *2 *2 *3) - (-12 (-5 *3 (-406 *5)) - (-4 *4 (-13 (-362) (-146) (-1028 (-406 (-558))))) (-4 *5 (-1222 *4)) - (-5 *1 (-800 *4 *5 *2 *6)) (-4 *2 (-646 *5)) (-4 *6 (-646 *3))))) -(((*1 *2 *1) - (-12 (-4 *1 (-363 *3 *4)) (-4 *3 (-1087)) (-4 *4 (-1087)) - (-5 *2 (-1145))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-224)) (-5 *4 (-558)) (-5 *2 (-1025)) (-5 *1 (-749))))) +(((*1 *2) (-12 (-5 *2 (-1251)) (-5 *1 (-443 *3)) (-4 *3 (-1039))))) +(((*1 *2 *2) + (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 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+(((*1 *2 *3 *1) + (|partial| -12 (-5 *3 (-882 *4)) (-4 *4 (-1087)) (-4 *2 (-1087)) + (-5 *1 (-879 *4 *2))))) (((*1 *1 *1) (-4 *1 (-35))) ((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) @@ -1101,78 +1220,56 @@ ((*1 *2 *2) (-12 (-5 *2 (-1143 *3)) (-4 *3 (-38 (-406 (-558)))) (-5 *1 (-1149 *3))))) -(((*1 *2) - (-12 (-4 *4 (-171)) (-5 *2 (-112)) (-5 *1 (-365 *3 *4)) - (-4 *3 (-366 *4)))) - ((*1 *2) (-12 (-4 *1 (-366 *3)) (-4 *3 (-171)) (-5 *2 (-112))))) -(((*1 *1 *1) (-5 *1 (-1051)))) -(((*1 *2 *3) - (-12 (-5 *2 (-168 *4)) (-5 *1 (-180 *4 *3)) - (-4 *4 (-13 (-362) (-839))) (-4 *3 (-1222 *2))))) +(((*1 *2 *2 *2) (-12 (-5 *2 (-224)) (-5 *1 (-225)))) + ((*1 *2 *2 *2) (-12 (-5 *2 (-168 (-224))) (-5 *1 (-225)))) + ((*1 *2 *2 *2) + (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-430 *3 *2)) + (-4 *2 (-429 *3)))) + ((*1 *1 *1 *1) (-4 *1 (-1126)))) +(((*1 *2 *3 *4 *2 *2 *5) + (|partial| -12 (-5 *2 (-834 *4)) (-5 *3 (-604 *4)) (-5 *5 (-112)) + (-4 *4 (-13 (-1185) (-29 *6))) + (-4 *6 (-13 (-450) (-841) (-1028 (-558)) (-631 (-558)))) + (-5 *1 (-223 *6 *4))))) (((*1 *2 *1) (-12 (-5 *2 (-635 (-1122))) (-5 *1 (-153)))) ((*1 *2 *1) (-12 (-5 *2 (-635 (-1122))) (-5 *1 (-1054))))) -(((*1 *2 *1) (|partial| -12 (-5 *2 (-635 (-279))) (-5 *1 (-279)))) - ((*1 *2 *1) (-12 (-5 *2 (-635 (-1168))) (-5 *1 (-1168))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-279)))) + ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-882 *3)) (-4 *3 (-1087)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1263 *3 *4)) (-4 *3 (-841)) (-4 *4 (-1039)) + (-5 *2 (-112)))) + ((*1 *2 *1) + (-12 (-5 *2 (-112)) (-5 *1 (-1269 *3 *4)) (-4 *3 (-1039)) + (-4 *4 (-837))))) +(((*1 *2 *3) + (-12 (-5 *3 |RationalNumber|) (-5 *2 (-1 (-558))) (-5 *1 (-1037))))) (((*1 *2 *1 *3 *3) (-12 (-5 *3 (-911)) (-5 *2 (-762)) (-5 *1 (-1088 *4 *5)) (-14 *4 *3) (-14 *5 *3)))) -(((*1 *2 *2 *3) - (-12 (-4 *3 (-362)) (-5 *1 (-1015 *3 *2)) (-4 *2 (-646 *3)))) - ((*1 *2 *3 *4) - (-12 (-4 *5 (-362)) (-5 *2 (-2 (|:| -2443 *3) (|:| -3415 (-635 *5)))) - (-5 *1 (-1015 *5 *3)) (-5 *4 (-635 *5)) (-4 *3 (-646 *5))))) -(((*1 *2 *2 *3 *3) - (-12 (-5 *3 (-558)) (-4 *4 (-171)) (-4 *5 (-372 *4)) - (-4 *6 (-372 *4)) (-5 *1 (-678 *4 *5 *6 *2)) - (-4 *2 (-677 *4 *5 *6))))) +(((*1 *2 *3 *4 *5) + (-12 (-4 *6 (-1222 *9)) (-4 *7 (-784)) (-4 *8 (-841)) (-4 *9 (-306)) + (-4 *10 (-939 *9 *7 *8)) + (-5 *2 + (-2 (|:| |deter| (-635 (-1159 *10))) + (|:| |dterm| + (-635 (-635 (-2 (|:| -3159 (-762)) (|:| |pcoef| *10))))) + (|:| |nfacts| (-635 *6)) (|:| |nlead| (-635 *10)))) + (-5 *1 (-769 *6 *7 *8 *9 *10)) (-5 *3 (-1159 *10)) (-5 *4 (-635 *6)) + (-5 *5 (-635 *10))))) (((*1 *1 *2 *2) (-12 (-5 *2 - (-3 (|:| I (-315 (-558))) (|:| -3198 (-315 (-378))) + (-3 (|:| I (-315 (-558))) (|:| -3199 (-315 (-378))) (|:| CF (-315 (-168 (-378)))) (|:| |switch| (-1162)))) (-5 *1 (-1162))))) -(((*1 *1) (-5 *1 (-143))) - ((*1 *2 *3) - (-12 (-5 *3 (-635 (-262))) (-5 *2 (-1120 (-224))) (-5 *1 (-260)))) - ((*1 *1 *2) (-12 (-5 *2 (-1120 (-224))) (-5 *1 (-262))))) -(((*1 *2 *2) (-12 (-5 *2 (-224)) (-5 *1 (-225)))) - ((*1 *2 *2) (-12 (-5 *2 (-168 (-224))) (-5 *1 (-225)))) - ((*1 *2 *2) - (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-430 *3 *2)) - (-4 *2 (-429 *3)))) - ((*1 *1 *1) (-4 *1 (-1126)))) -(((*1 *1 *2) - (-12 (-5 *2 (-1 (-933 (-224)) (-933 (-224)))) (-5 *1 (-262)))) - ((*1 *2 *3) - (-12 (-5 *3 (-1246 *1)) (-4 *1 (-328 *4)) (-4 *4 (-362)) - (-5 *2 (-679 *4)))) - ((*1 *2 *1) (-12 (-4 *1 (-328 *3)) (-4 *3 (-362)) (-5 *2 (-1246 *3)))) - ((*1 *2 *3 *3) - (-12 (-5 *3 (-1246 *1)) (-4 *1 (-366 *4)) (-4 *4 (-171)) - (-5 *2 (-679 *4)))) - ((*1 *2 *1 *3) - (-12 (-5 *3 (-1246 *1)) (-4 *1 (-366 *4)) (-4 *4 (-171)) - (-5 *2 (-1246 *4)))) - ((*1 *2 *3 *3) - (-12 (-5 *3 (-1246 *1)) (-4 *1 (-369 *4 *5)) (-4 *4 (-171)) - (-4 *5 (-1222 *4)) (-5 *2 (-679 *4)))) - ((*1 *2 *1 *3) - (-12 (-5 *3 (-1246 *1)) (-4 *1 (-369 *4 *5)) (-4 *4 (-171)) - (-4 *5 (-1222 *4)) (-5 *2 (-1246 *4)))) - ((*1 *2 *3) - (-12 (-5 *3 (-1246 *1)) (-4 *1 (-408 *4 *5)) (-4 *4 (-171)) - (-4 *5 (-1222 *4)) (-5 *2 (-679 *4)))) - ((*1 *2 *1) - (-12 (-4 *1 (-408 *3 *4)) (-4 *3 (-171)) (-4 *4 (-1222 *3)) - (-5 *2 (-1246 *3)))) - ((*1 *2 *3) - (-12 (-5 *3 (-1246 *1)) (-4 *1 (-416 *4)) (-4 *4 (-171)) - (-5 *2 (-679 *4)))) - ((*1 *2 *1) (-12 (-4 *1 (-416 *3)) (-4 *3 (-171)) (-5 *2 (-1246 *3)))) - ((*1 *2 *3 *4) - (-12 (-5 *4 (-635 (-679 *5))) (-5 *3 (-679 *5)) (-4 *5 (-362)) - (-5 *2 (-1246 *5)) (-5 *1 (-1073 *5))))) -(((*1 *2 *2) (-12 (-5 *2 (-558)) (-5 *1 (-916))))) +(((*1 *1 *2 *3) + (-12 (-5 *1 (-426 *3 *2)) (-4 *3 (-13 (-171) (-38 (-406 (-558))))) + (-4 *2 (-13 (-841) (-21)))))) +(((*1 *1 *1) (-5 *1 (-853)))) +(((*1 *2 *3 *3 *3 *4 *5 *6) + (-12 (-5 *3 (-315 (-558))) (-5 *4 (-1 (-224) (-224))) + (-5 *5 (-1081 (-224))) (-5 *6 (-635 (-262))) (-5 *2 (-1120 (-224))) + (-5 *1 (-687))))) (((*1 *1 *1) (-4 *1 (-35))) ((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) @@ -1189,13 +1286,43 @@ ((*1 *2 *2) (-12 (-5 *2 (-1143 *3)) (-4 *3 (-38 (-406 (-558)))) (-5 *1 (-1149 *3))))) +(((*1 *2 *3) + (-12 (-5 *3 (-635 (-2 (|:| -2531 *4) (|:| -1845 (-558))))) + (-4 *4 (-1222 (-558))) (-5 *2 (-728 (-762))) (-5 *1 (-440 *4)))) + ((*1 *2 *3) + (-12 (-5 *3 (-417 *5)) (-4 *5 (-1222 *4)) (-4 *4 (-1039)) + (-5 *2 (-728 (-762))) (-5 *1 (-442 *4 *5))))) (((*1 *2 *1 *3 *3 *2) (-12 (-5 *3 (-558)) (-4 *1 (-57 *2 *4 *5)) (-4 *2 (-1200)) (-4 *4 (-372 *2)) (-4 *5 (-372 *2)))) ((*1 *2 *1 *3 *2) (-12 (|has| *1 (-6 -4384)) (-4 *1 (-287 *3 *2)) (-4 *3 (-1087)) (-4 *2 (-1200))))) -(((*1 *1 *1) (-12 (-4 *1 (-1234 *2)) (-4 *2 (-1200))))) +(((*1 *2 *3) + (-12 (-5 *2 (-1159 (-558))) (-5 *1 (-932)) (-5 *3 (-558)))) + ((*1 *2 *2) + (-12 (-4 *3 (-306)) (-4 *4 (-372 *3)) (-4 *5 (-372 *3)) + (-5 *1 (-1111 *3 *4 *5 *2)) (-4 *2 (-677 *3 *4 *5))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-815))))) +(((*1 *2 *1) (-12 (-4 *1 (-265 *2)) (-4 *2 (-841)))) + ((*1 *1 *2) + (|partial| -12 (-5 *2 (-1163)) (-5 *1 (-855 *3)) (-14 *3 (-635 *2)))) + ((*1 *2 *1) (-12 (-5 *2 (-1163)) (-5 *1 (-956 *3)) (-4 *3 (-957)))) + ((*1 *2 *1) (-12 (-5 *2 (-1163)) (-5 *1 (-979)))) + ((*1 *2 *1) (-12 (-5 *2 (-1163)) (-5 *1 (-1079 *3)) (-4 *3 (-1200)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1224 *3 *4)) (-4 *3 (-1039)) (-4 *4 (-783)) + (-5 *2 (-1163)))) + ((*1 *2) (-12 (-5 *2 (-1163)) (-5 *1 (-1242 *3)) (-14 *3 *2)))) +(((*1 *2 *1 *1 *3) (-12 (-4 *1 (-1131)) (-5 *3 (-558)) (-5 *2 (-112))))) +(((*1 *2 *3 *3 *4 *5 *5 *5 *4 *4 *4 *3 *4 *4 *6) + (-12 (-5 *3 (-679 (-224))) (-5 *4 (-558)) (-5 *5 (-224)) + (-5 *6 (-3 (|:| |fn| (-387)) (|:| |fp| (-86 FCN)))) (-5 *2 (-1025)) + (-5 *1 (-740))))) +(((*1 *2 *3 *3 *3 *3 *4 *5) + (-12 (-5 *3 (-224)) (-5 *4 (-558)) + (-5 *5 (-3 (|:| |fn| (-387)) (|:| |fp| (-64 -3199)))) + (-5 *2 (-1025)) (-5 *1 (-737))))) (((*1 *1 *2) (-12 (-5 *2 (-762)) (-5 *1 (-50 *3 *4)) (-4 *3 (-1039)) (-14 *4 (-635 (-1163))))) @@ -1211,30 +1338,18 @@ (-12 (-5 *2 (-762)) (-5 *1 (-389 *3 *4 *5)) (-14 *3 *2) (-14 *4 *2) (-4 *5 (-171)))) ((*1 *1) (-12 (-4 *2 (-171)) (-4 *1 (-715 *2 *3)) (-4 *3 (-1222 *2))))) -(((*1 *2 *1) (-12 (-4 *1 (-265 *2)) (-4 *2 (-841)))) - ((*1 *1 *2) - (|partial| -12 (-5 *2 (-1163)) (-5 *1 (-855 *3)) (-14 *3 (-635 *2)))) - ((*1 *2 *1) (-12 (-5 *2 (-1163)) (-5 *1 (-956 *3)) (-4 *3 (-957)))) - ((*1 *2 *1) (-12 (-5 *2 (-1163)) (-5 *1 (-979)))) - ((*1 *2 *1) (-12 (-5 *2 (-1163)) (-5 *1 (-1079 *3)) (-4 *3 (-1200)))) - ((*1 *2 *1) - (-12 (-4 *1 (-1224 *3 *4)) (-4 *3 (-1039)) (-4 *4 (-783)) - (-5 *2 (-1163)))) - ((*1 *2) (-12 (-5 *2 (-1163)) (-5 *1 (-1242 *3)) (-14 *3 *2)))) -(((*1 *2 *1 *1 *3) (-12 (-4 *1 (-1131)) (-5 *3 (-558)) (-5 *2 (-112))))) -(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-956 *3)) (-4 *3 (-957))))) -(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-956 *3)) (-4 *3 (-957))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-1 *6 *4 *5)) (-4 *4 (-1087)) (-4 *5 (-1087)) - (-4 *6 (-1087)) (-5 *2 (-1 *6 *5)) (-5 *1 (-674 *4 *5 *6))))) -(((*1 *2 *1) - (-12 (-4 *3 (-362)) (-4 *4 (-1222 *3)) (-4 *5 (-1222 (-406 *4))) - (-5 *2 (-1246 *6)) (-5 *1 (-335 *3 *4 *5 *6)) - (-4 *6 (-341 *3 *4 *5))))) +(((*1 *1 *1) + (-12 (-5 *1 (-588 *2)) (-4 *2 (-38 (-406 (-558)))) (-4 *2 (-1039))))) +(((*1 *2 *1 *3) + (-12 (-5 *3 (-762)) (-5 *2 (-1219 *5 *4)) (-5 *1 (-1161 *4 *5 *6)) + (-4 *4 (-1039)) (-14 *5 (-1163)) (-14 *6 *4))) + ((*1 *2 *1 *3) + (-12 (-5 *3 (-762)) (-5 *2 (-1219 *5 *4)) (-5 *1 (-1238 *4 *5 *6)) + (-4 *4 (-1039)) (-14 *5 (-1163)) (-14 *6 *4)))) (((*1 *1 *2 *2) (-12 (-5 *2 - (-3 (|:| I (-315 (-558))) (|:| -3198 (-315 (-378))) + (-3 (|:| I (-315 (-558))) (|:| -3199 (-315 (-378))) (|:| CF (-315 (-168 (-378)))) (|:| |switch| (-1162)))) (-5 *1 (-1162))))) (((*1 *2 *3 *4) @@ -1247,12 +1362,9 @@ (-5 *4 (-762)) (-4 *8 (-1053 *5 *6 *7)) (-4 *9 (-1096 *5 *6 *7 *8)) (-4 *5 (-450)) (-4 *6 (-784)) (-4 *7 (-841)) (-5 *2 (-1251)) (-5 *1 (-1132 *5 *6 *7 *8 *9))))) -(((*1 *2 *1) - (-12 (-4 *1 (-1121 *3)) (-4 *3 (-1039)) - (-5 *2 (-635 (-635 (-635 (-762)))))))) -(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *4 *4 *3 *3 *3) - (-12 (-5 *3 (-558)) (-5 *4 (-679 (-224))) (-5 *2 (-1025)) - (-5 *1 (-743))))) +(((*1 *2 *3 *4 *4 *5 *3) + (-12 (-5 *3 (-558)) (-5 *4 (-679 (-224))) (-5 *5 (-224)) + (-5 *2 (-1025)) (-5 *1 (-743))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) (-4 *2 (-13 (-429 *3) (-992))))) @@ -1269,30 +1381,41 @@ ((*1 *2 *2) (-12 (-5 *2 (-1143 *3)) (-4 *3 (-38 (-406 (-558)))) (-5 *1 (-1149 *3))))) +(((*1 *2) (-12 (-5 *2 (-1145)) (-5 *1 (-750))))) +(((*1 *2 *3 *4) + (|partial| -12 (-5 *4 (-293 (-824 *3))) + (-4 *5 (-13 (-450) (-841) (-1028 (-558)) (-631 (-558)))) + (-5 *2 (-824 *3)) (-5 *1 (-628 *5 *3)) + (-4 *3 (-13 (-27) (-1185) (-429 *5))))) + ((*1 *2 *3 *4) + (-12 (-5 *4 (-293 (-824 (-942 *5)))) (-4 *5 (-450)) + (-5 *2 (-824 (-406 (-942 *5)))) (-5 *1 (-629 *5)) + (-5 *3 (-406 (-942 *5))))) + ((*1 *2 *3 *4) + (-12 (-5 *4 (-293 (-406 (-942 *5)))) (-5 *3 (-406 (-942 *5))) + (-4 *5 (-450)) (-5 *2 (-824 *3)) (-5 *1 (-629 *5))))) (((*1 *1 *2 *1) (-12 (-5 *2 (-1 *3 *3)) (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1200)) (-4 *4 (-372 *3)) (-4 *5 (-372 *3)))) ((*1 *1 *2 *1) (-12 (-5 *2 (-1 *3 *3)) (|has| *1 (-6 -4384)) (-4 *1 (-487 *3)) (-4 *3 (-1200))))) -(((*1 *1 *1) (-12 (-5 *1 (-293 *2)) (-4 *2 (-21)) (-4 *2 (-1200))))) -(((*1 *2 *3) - (-12 (-5 *3 (-1246 (-679 *4))) (-4 *4 (-171)) - (-5 *2 (-1246 (-679 (-942 *4)))) (-5 *1 (-188 *4))))) (((*1 *2 *3) (-12 (-5 *3 (-635 (-52))) (-5 *2 (-1251)) (-5 *1 (-854))))) -(((*1 *1 *1) - (-12 (|has| *1 (-6 -4384)) (-4 *1 (-372 *2)) (-4 *2 (-1200)) - (-4 *2 (-841)))) - ((*1 *1 *2 *1) - (-12 (-5 *2 (-1 (-112) *3 *3)) (|has| *1 (-6 -4384)) - (-4 *1 (-372 *3)) (-4 *3 (-1200))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-956 *3)) (-4 *3 (-957))))) +(((*1 *2 *3 *4) + (-12 (-5 *4 (-112)) + (-4 *5 (-13 (-450) (-841) (-1028 (-558)) (-631 (-558)))) + (-5 *2 + (-3 (|:| |%expansion| (-312 *5 *3 *6 *7)) + (|:| |%problem| (-2 (|:| |func| (-1145)) (|:| |prob| (-1145)))))) + (-5 *1 (-419 *5 *3 *6 *7)) (-4 *3 (-13 (-27) (-1185) (-429 *5))) + (-14 *6 (-1163)) (-14 *7 *3)))) +(((*1 *2 *1) (-12 (-5 *2 (-1081 (-224))) (-5 *1 (-916)))) + ((*1 *2 *1) (-12 (-5 *2 (-1081 (-224))) (-5 *1 (-917))))) +(((*1 *2 *1) (-12 (-5 *2 (-815)) (-5 *1 (-816))))) (((*1 *2 *3) - (-12 (-5 *2 (-1165 (-406 (-558)))) (-5 *1 (-189)) (-5 *3 (-558))))) -(((*1 *2 *3 *3) (-12 (-5 *3 (-558)) (-5 *2 (-112)) (-5 *1 (-547))))) -(((*1 *2 *1) (-12 (-4 *1 (-366 *2)) (-4 *2 (-171))))) -(((*1 *1 *1) - (|partial| -12 (-5 *1 (-1128 *2 *3)) (-4 *2 (-13 (-1087) (-34))) - (-4 *3 (-13 (-1087) (-34)))))) + (-12 (-5 *3 (-635 (-558))) (-5 *2 (-894 (-558))) (-5 *1 (-907)))) + ((*1 *2) (-12 (-5 *2 (-894 (-558))) (-5 *1 (-907))))) (((*1 *1 *2 *1) (-12 (-4 *1 (-21)) (-5 *2 (-558)))) ((*1 *1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-762)))) ((*1 *1 *2 *1) (-12 (-4 *1 (-25)) (-5 *2 (-911)))) @@ -1326,8 +1449,8 @@ (-12 (-14 *3 (-635 (-1163))) (-4 *4 (-171)) (-4 *6 (-237 (-1450 *3) (-762))) (-14 *7 - (-1 (-112) (-2 (|:| -2197 *5) (|:| -1473 *6)) - (-2 (|:| -2197 *5) (|:| -1473 *6)))) + (-1 (-112) (-2 (|:| -2197 *5) (|:| -1555 *6)) + (-2 (|:| -2197 *5) (|:| -1555 *6)))) (-5 *1 (-459 *3 *4 *5 *6 *7 *2)) (-4 *5 (-841)) (-4 *2 (-939 *4 *6 (-855 *3))))) ((*1 *1 *1 *2) @@ -1406,13 +1529,16 @@ (-12 (-4 *1 (-1263 *3 *2)) (-4 *3 (-841)) (-4 *2 (-1039)))) ((*1 *1 *1 *2) (-12 (-5 *1 (-1269 *2 *3)) (-4 *2 (-1039)) (-4 *3 (-837))))) -(((*1 *1 *1) - (-12 (-5 *1 (-50 *2 *3)) (-4 *2 (-1039)) (-14 *3 (-635 (-1163))))) - ((*1 *1 *1) - (-12 (-5 *1 (-222 *2 *3)) (-4 *2 (-13 (-1039) (-841))) - (-14 *3 (-635 (-1163)))))) +(((*1 *2 *3 *3 *4 *3) + (-12 (-5 *3 (-558)) (-5 *4 (-679 (-224))) (-5 *2 (-1025)) + (-5 *1 (-746))))) (((*1 *2 *1) (-12 (-4 *1 (-964)) (-5 *2 (-1081 (-224)))))) -(((*1 *1 *1) (-5 *1 (-1051)))) +(((*1 *2 *3 *4 *5) + (|partial| -12 (-5 *3 (-762)) (-4 *4 (-306)) (-4 *6 (-1222 *4)) + (-5 *2 (-1246 (-635 *6))) (-5 *1 (-453 *4 *6)) (-5 *5 (-635 *6))))) +(((*1 *2 *2 *2) (-12 (-5 *2 (-558)) (-5 *1 (-555)))) + ((*1 *2 *3) + (-12 (-5 *2 (-1159 (-406 (-558)))) (-5 *1 (-932)) (-5 *3 (-558))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) (-4 *2 (-13 (-429 *3) (-992))))) @@ -1429,42 +1555,29 @@ ((*1 *2 *2) (-12 (-5 *2 (-1143 *3)) (-4 *3 (-38 (-406 (-558)))) (-5 *1 (-1149 *3))))) +(((*1 *1) (-5 *1 (-290)))) +(((*1 *1 *2) (-12 (-5 *1 (-1016 *2)) (-4 *2 (-1200))))) +(((*1 *2 *3 *4 *4 *5) + (-12 (-5 *4 (-604 *3)) (-5 *5 (-1 (-1159 *3) (-1159 *3))) + (-4 *3 (-13 (-27) (-429 *6))) (-4 *6 (-13 (-841) (-550))) + (-5 *2 (-579 *3)) (-5 *1 (-545 *6 *3))))) +(((*1 *2 *3) (-12 (-5 *3 (-853)) (-5 *2 (-1145)) (-5 *1 (-701))))) (((*1 *2 *3) - (-12 (-5 *3 (-635 (-2 (|:| -2531 (-1159 *6)) (|:| -1473 (-558))))) - (-4 *6 (-306)) (-4 *4 (-784)) (-4 *5 (-841)) (-5 *2 (-558)) - (-5 *1 (-733 *4 *5 *6 *7)) (-4 *7 (-939 *6 *4 *5))))) -(((*1 *2 *1 *3) - (-12 (-5 *3 (-635 *6)) (-4 *6 (-841)) (-4 *4 (-362)) (-4 *5 (-784)) - (-5 *2 - (-2 (|:| |mval| (-679 *4)) (|:| |invmval| (-679 *4)) - (|:| |genIdeal| (-502 *4 *5 *6 *7)))) - (-5 *1 (-502 *4 *5 *6 *7)) (-4 *7 (-939 *4 *5 *6))))) -(((*1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-1201 *3)) (-4 *3 (-1087))))) -(((*1 *2 *3) - (-12 (-5 *3 (-635 *4)) (-4 *4 (-1087)) (-5 *2 (-1251)) - (-5 *1 (-1201 *4)))) - ((*1 *2 *3 *3) - (-12 (-5 *3 (-635 *4)) (-4 *4 (-1087)) (-5 *2 (-1251)) - (-5 *1 (-1201 *4))))) -(((*1 *2 *2) - (-12 (-4 *3 (-13 (-841) (-450))) (-5 *1 (-1191 *3 *2)) - (-4 *2 (-13 (-429 *3) (-1185)))))) -(((*1 *1 *1 *1 *2) - (-12 (-4 *1 (-1053 *3 *4 *2)) (-4 *3 (-1039)) (-4 *4 (-784)) - (-4 *2 (-841)))) - ((*1 *1 *1 *1) - (-12 (-4 *1 (-1053 *2 *3 *4)) (-4 *2 (-1039)) (-4 *3 (-784)) - (-4 *4 (-841))))) -(((*1 *2 *1) (|partial| -12 (-5 *2 (-604 *1)) (-4 *1 (-301))))) -(((*1 *2 *3) - (-12 (-5 *3 (-635 *2)) (-4 *2 (-429 *4)) (-5 *1 (-157 *4 *2)) - (-4 *4 (-13 (-841) (-550)))))) + (-12 (-5 *3 (-1 *6 *4)) (-4 *4 (-1087)) (-4 *6 (-1087)) + (-5 *2 (-1 *6 *4 *5)) (-5 *1 (-674 *4 *5 *6)) (-4 *5 (-1087))))) +(((*1 *2 *2 *2) + (-12 (-4 *3 (-362)) (-5 *1 (-757 *2 *3)) (-4 *2 (-699 *3)))) + ((*1 *1 *1 *1) (-12 (-4 *1 (-843 *2)) (-4 *2 (-1039)) (-4 *2 (-362))))) +(((*1 *2 *1) + (-12 (-4 *3 (-450)) (-4 *4 (-841)) (-4 *5 (-784)) (-5 *2 (-635 *6)) + (-5 *1 (-977 *3 *4 *5 *6)) (-4 *6 (-939 *3 *5 *4))))) (((*1 *2 *1) (-12 (-4 *1 (-945)) (-5 *2 (-1081 (-224))))) ((*1 *2 *1) (-12 (-4 *1 (-964)) (-5 *2 (-1081 (-224)))))) -(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-882 *3)) (-4 *3 (-1087)))) - ((*1 *2 *1) - (-12 (-4 *1 (-1090 *3 *4 *5 *6 *7)) (-4 *3 (-1087)) (-4 *4 (-1087)) - (-4 *5 (-1087)) (-4 *6 (-1087)) (-4 *7 (-1087)) (-5 *2 (-112))))) +(((*1 *2 *3 *4) + (-12 (-4 *4 (-362)) (-5 *2 (-635 (-1143 *4))) (-5 *1 (-284 *4 *5)) + (-5 *3 (-1143 *4)) (-4 *5 (-1237 *4))))) +(((*1 *2 *1 *3 *4) + (-12 (-5 *3 (-1145)) (-5 *4 (-1107)) (-5 *2 (-112)) (-5 *1 (-812))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) (-4 *2 (-13 (-429 *3) (-992))))) @@ -1481,67 +1594,52 @@ ((*1 *2 *2) (-12 (-5 *2 (-1143 *3)) (-4 *3 (-38 (-406 (-558)))) (-5 *1 (-1149 *3))))) -(((*1 *2 *3 *4 *5) - (-12 (-5 *4 (-1 *7 *7)) - (-5 *5 - (-1 (-2 (|:| |ans| *6) (|:| -1404 *6) (|:| |sol?| (-112))) (-558) - *6)) - (-4 *6 (-362)) (-4 *7 (-1222 *6)) - (-5 *2 (-2 (|:| |answer| (-579 (-406 *7))) (|:| |a0| *6))) - (-5 *1 (-568 *6 *7)) (-5 *3 (-406 *7))))) (((*1 *1 *1) (-12 (-4 *1 (-243 *2)) (-4 *2 (-1200)))) ((*1 *1 *1) (-12 (-4 *1 (-1053 *2 *3 *4)) (-4 *2 (-1039)) (-4 *3 (-784)) (-4 *4 (-841)))) ((*1 *1 *1) (-12 (-4 *1 (-1234 *2)) (-4 *2 (-1200))))) -(((*1 *2 *3) - (|partial| -12 (-4 *5 (-1028 (-48))) - (-4 *4 (-13 (-550) (-841) (-1028 (-558)))) (-4 *5 (-429 *4)) - (-5 *2 (-417 (-1159 (-48)))) (-5 *1 (-434 *4 *5 *3)) - (-4 *3 (-1222 *5))))) -(((*1 *2 *3 *3) - (-12 (-5 *3 (-1219 *5 *4)) (-4 *4 (-450)) (-4 *4 (-811)) - (-14 *5 (-1163)) (-5 *2 (-558)) (-5 *1 (-1101 *4 *5))))) -(((*1 *2 *3) (-12 (-5 *3 (-853)) (-5 *2 (-1145)) (-5 *1 (-701))))) -(((*1 *1 *1 *1 *1) (-5 *1 (-853))) ((*1 *1 *1 *1) (-5 *1 (-853))) - ((*1 *1 *1) (-5 *1 (-853)))) +(((*1 *1 *1 *2) (-12 (-5 *2 (-762)) (-5 *1 (-114)))) + ((*1 *2 *1) (-12 (-5 *2 (-762)) (-5 *1 (-114)))) + ((*1 *2 *1 *3) + (-12 (-4 *1 (-252 *4 *3 *5 *6)) (-4 *4 (-1039)) (-4 *3 (-841)) + (-4 *5 (-265 *3)) (-4 *6 (-784)) (-5 *2 (-762)))) + ((*1 *2 *1) + (-12 (-4 *1 (-252 *3 *4 *5 *6)) (-4 *3 (-1039)) (-4 *4 (-841)) + (-4 *5 (-265 *4)) (-4 *6 (-784)) (-5 *2 (-762)))) + ((*1 *2 *1) (-12 (-4 *1 (-265 *3)) (-4 *3 (-841)) (-5 *2 (-762))))) +(((*1 *2 *3 *3 *4 *3 *4 *4 *4 *5 *5 *5 *5 *4 *4 *6 *7) + (-12 (-5 *4 (-558)) (-5 *5 (-679 (-224))) + (-5 *6 (-3 (|:| |fn| (-387)) (|:| |fp| (-84 FCNF)))) + (-5 *7 (-3 (|:| |fn| (-387)) (|:| |fp| (-85 FCNG)))) (-5 *3 (-224)) + (-5 *2 (-1025)) (-5 *1 (-740))))) +(((*1 *2 *3 *2) + (-12 (-5 *3 (-1 (-112) *4 *4)) (-4 *4 (-1200)) (-5 *1 (-374 *4 *2)) + (-4 *2 (-13 (-372 *4) (-10 -7 (-6 -4384))))))) +(((*1 *2 *2) + (-12 (-4 *3 (-13 (-841) (-450))) (-5 *1 (-1191 *3 *2)) + (-4 *2 (-13 (-429 *3) (-1185)))))) (((*1 *2 *3 *4) - (|partial| -12 (-5 *4 (-911)) (-4 *5 (-550)) (-5 *2 (-679 *5)) - (-5 *1 (-946 *5 *3)) (-4 *3 (-646 *5))))) -(((*1 *2 *3 *3) - (-12 (-5 *3 (-1145)) (-5 *2 (-1251)) (-5 *1 (-1177 *4 *5)) - (-4 *4 (-1087)) (-4 *5 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(-942 *5)) (-4 *5 (-450)) (-5 *2 (-635 *6)) + (-5 *1 (-536 *5 *6 *4)) (-4 *6 (-362)) (-4 *4 (-13 (-362) (-839)))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) (-4 *2 (-13 (-429 *3) (-992))))) @@ -1561,53 +1659,56 @@ ((*1 *2 *2) (-12 (-5 *2 (-1143 *3)) (-4 *3 (-38 (-406 (-558)))) (-5 *1 (-1149 *3))))) -(((*1 *2 *3 *3 *3 *4 *5 *3 *5 *3) - (-12 (-5 *3 (-558)) (-5 *5 (-679 (-224))) (-5 *4 (-224)) - (-5 *2 (-1025)) (-5 *1 (-744))))) -(((*1 *2 *3) - (-12 - (-5 *3 - (-2 (|:| |var| (-1163)) (|:| |fn| (-315 (-224))) - (|:| -1540 (-1081 (-834 (-224)))) (|:| |abserr| (-224)) - (|:| |relerr| (-224)))) - (-5 *2 (-112)) (-5 *1 (-299))))) +(((*1 *2 *2) + (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) + (-4 *2 (-13 (-429 *3) (-992)))))) +(((*1 *2 *3) (-12 (-5 *3 (-1145)) (-5 *2 (-378)) (-5 *1 (-97)))) + ((*1 *2 *3 *3) (-12 (-5 *3 (-1145)) (-5 *2 (-378)) (-5 *1 (-97))))) +(((*1 *2 *3 *1) + (-12 (-4 *1 (-1059 *4 *5 *6 *3)) (-4 *4 (-450)) (-4 *5 (-784)) + (-4 *6 (-841)) (-4 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(-942 (-168 *4))))) (-5 *1 (-377 *4)) + (-4 *4 (-13 (-362) (-839))))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-293 (-406 (-942 (-168 (-558)))))) + (-5 *2 (-635 (-293 (-942 (-168 *4))))) (-5 *1 (-377 *4)) + (-4 *4 (-13 (-362) (-839)))))) (((*1 *2 *1) (-12 (-4 *1 (-131)) (-5 *2 (-762)))) ((*1 *2 *3 *1 *2) (-12 (-5 *2 (-558)) (-4 *1 (-372 *3)) (-4 *3 (-1200)) @@ -1621,6 +1722,29 @@ ((*1 *2 *1) (-12 (-5 *2 (-1107)) (-5 *1 (-527)))) ((*1 *2 *3 *1 *2) (-12 (-4 *1 (-1131)) (-5 *2 (-558)) (-5 *3 (-140)))) ((*1 *2 *1 *1 *2) (-12 (-4 *1 (-1131)) (-5 *2 (-558))))) +(((*1 *2 *1) + (|partial| -12 (-4 *1 (-165 *3)) (-4 *3 (-171)) (-4 *3 (-543)) + (-5 *2 (-406 (-558))))) + ((*1 *2 *1) + (|partial| -12 (-5 *2 (-406 (-558))) (-5 *1 (-417 *3)) (-4 *3 (-543)) + (-4 *3 (-550)))) + ((*1 *2 *1) (|partial| -12 (-4 *1 (-543)) (-5 *2 (-406 (-558))))) + ((*1 *2 *1) + (|partial| -12 (-4 *1 (-788 *3)) (-4 *3 (-171)) (-4 *3 (-543)) + (-5 *2 (-406 (-558))))) + ((*1 *2 *1) + (|partial| -12 (-5 *2 (-406 (-558))) (-5 *1 (-824 *3)) (-4 *3 (-543)) + (-4 *3 (-1087)))) + ((*1 *2 *1) + (|partial| -12 (-5 *2 (-406 (-558))) (-5 *1 (-834 *3)) (-4 *3 (-543)) + (-4 *3 (-1087)))) + ((*1 *2 *1) + (|partial| -12 (-4 *1 (-987 *3)) (-4 *3 (-171)) (-4 *3 (-543)) + (-5 *2 (-406 (-558))))) + ((*1 *2 *3) + (|partial| -12 (-5 *2 (-406 (-558))) (-5 *1 (-998 *3)) + (-4 *3 (-1028 *2))))) +(((*1 *2 *1 *1 *3) (-12 (-4 *1 (-1131)) (-5 *3 (-143)) (-5 *2 (-112))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) (-4 *2 (-13 (-429 *3) (-992))))) @@ -1640,32 +1764,23 @@ ((*1 *2 *2) (-12 (-5 *2 (-1143 *3)) (-4 *3 (-38 (-406 (-558)))) (-5 *1 (-1149 *3))))) -(((*1 *2 *1 *1 *3) (-12 (-4 *1 (-1131)) (-5 *3 (-143)) (-5 *2 (-112))))) -(((*1 *2 *3) - (-12 (-5 *3 (-1081 (-834 (-378)))) (-5 *2 (-1081 (-834 (-224)))) - (-5 *1 (-304))))) (((*1 *2 *1 *3 *2) (-12 (-5 *3 (-762)) (-5 *1 (-212 *4 *2)) (-14 *4 (-911)) (-4 *2 (-1087))))) -(((*1 *2 *3) - (-12 (-5 *3 (-635 (-558))) (-5 *2 (-894 (-558))) (-5 *1 (-907)))) - ((*1 *2) (-12 (-5 *2 (-894 (-558))) (-5 *1 (-907))))) +(((*1 *2 *1 *3) (-12 (-5 *3 (-911)) (-5 *2 (-466)) (-5 *1 (-1247))))) +(((*1 *2) + (-12 (-4 *1 (-341 *3 *4 *5)) (-4 *3 (-1204)) (-4 *4 (-1222 *3)) + (-4 *5 (-1222 (-406 *4))) (-5 *2 (-112))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-882 *3)) (-4 *3 (-1087))))) (((*1 *2 *1) - (-12 (-4 *3 (-1039)) (-5 *2 (-1246 *3)) (-5 *1 (-703 *3 *4)) - (-4 *4 (-1222 *3))))) -(((*1 *2 *2 *1) (|partial| -12 (-5 *2 (-635 *1)) (-4 *1 (-306))))) -(((*1 *2 *1) (-12 (-5 *2 (-1143 *3)) (-5 *1 (-173 *3)) (-4 *3 (-306))))) -(((*1 *2 *1 *1) (-12 (-5 *2 (-558)) (-5 *1 (-378))))) -(((*1 *2 *1 *3) - (-12 (-5 *3 (-911)) (-4 *4 (-367)) (-4 *4 (-362)) (-5 *2 (-1159 *1)) - (-4 *1 (-328 *4)))) - ((*1 *2 *1) (-12 (-4 *1 (-328 *3)) (-4 *3 (-362)) (-5 *2 (-1159 *3)))) - ((*1 *2 *1) - (-12 (-4 *1 (-369 *3 *2)) (-4 *3 (-171)) (-4 *3 (-362)) - (-4 *2 (-1222 *3)))) - ((*1 *2 *3) - (-12 (-5 *3 (-1246 *4)) (-4 *4 (-348)) (-5 *2 (-1159 *4)) - (-5 *1 (-526 *4))))) + (-12 (-5 *2 (-2 (|:| |var| (-635 (-1163))) (|:| |pred| (-52)))) + (-5 *1 (-882 *3)) (-4 *3 (-1087))))) +(((*1 *2) + (-12 (-4 *3 (-550)) (-5 *2 (-635 (-679 *3))) (-5 *1 (-43 *3 *4)) + (-4 *4 (-416 *3))))) +(((*1 *2 *1 *1) + (|partial| -12 (-4 *1 (-1053 *3 *4 *5)) (-4 *3 (-1039)) + (-4 *4 (-784)) (-4 *5 (-841)) (-5 *2 (-112))))) (((*1 *2 *1 *3 *3) (-12 (-5 *3 (-558)) (-4 *1 (-57 *2 *4 *5)) (-4 *4 (-372 *2)) (-4 *5 (-372 *2)) (-4 *2 (-1200)))) @@ -1677,9 +1792,9 @@ ((*1 *2 *1 *3 *3) (-12 (-5 *3 (-558)) (-4 *1 (-1042 *4 *5 *2 *6 *7)) (-4 *6 (-237 *5 *2)) (-4 *7 (-237 *4 *2)) (-4 *2 (-1039))))) -(((*1 *1 *1) - (-12 (-4 *1 (-677 *2 *3 *4)) (-4 *2 (-1039)) (-4 *3 (-372 *2)) - (-4 *4 (-372 *2))))) +(((*1 *2 *3 *3 *3 *4 *4 *4 *4 *4 *3) + (-12 (-5 *3 (-558)) (-5 *4 (-679 (-224))) (-5 *2 (-1025)) + (-5 *1 (-743))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) (-4 *2 (-13 (-429 *3) (-992))))) @@ -1699,19 +1814,23 @@ ((*1 *2 *2) (-12 (-5 *2 (-1143 *3)) (-4 *3 (-38 (-406 (-558)))) (-5 *1 (-1149 *3))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-224)) (-5 *4 (-558)) (-5 *2 (-1025)) (-5 *1 (-749))))) -(((*1 *2 *2) (-12 (-5 *2 (-635 (-315 (-224)))) (-5 *1 (-266))))) +(((*1 *2 *2 *3 *3) + (-12 (-5 *2 (-679 *3)) (-4 *3 (-306)) (-5 *1 (-690 *3))))) +(((*1 *2 *2) + (-12 (-5 *2 (-112)) (-5 *1 (-440 *3)) (-4 *3 (-1222 (-558)))))) +(((*1 *2 *2 *1 *3 *4) + (-12 (-5 *2 (-635 *8)) (-5 *3 (-1 *8 *8 *8)) + (-5 *4 (-1 (-112) *8 *8)) (-4 *1 (-1193 *5 *6 *7 *8)) (-4 *5 (-550)) + (-4 *6 (-784)) (-4 *7 (-841)) (-4 *8 (-1053 *5 *6 *7))))) (((*1 *1 *2) (-12 (-5 *1 (-1186 *2)) (-4 *2 (-1087)))) ((*1 *1 *2) (-12 (-5 *2 (-635 *3)) (-4 *3 (-1087)) (-5 *1 (-1186 *3)))) ((*1 *1 *2 *3) (-12 (-5 *3 (-635 (-1186 *2))) (-5 *1 (-1186 *2)) (-4 *2 (-1087))))) -(((*1 *2 *3 *2) (-12 (-5 *3 (-762)) (-5 *1 (-847 *2)) (-4 *2 (-171))))) -(((*1 *2 *2) (|partial| -12 (-4 *1 (-973 *2)) (-4 *2 (-1185))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-1163)) (-5 *4 (-942 (-558))) (-5 *2 (-329)) - (-5 *1 (-331))))) +(((*1 *2 *2) + (-12 (-4 *3 (-13 (-841) (-450))) (-5 *1 (-1191 *3 *2)) + (-4 *2 (-13 (-429 *3) (-1185)))))) +(((*1 *2) (-12 (-5 *2 (-1120 (-224))) (-5 *1 (-1183))))) (((*1 *2 *1) (-12 (-5 *1 (-681 *2)) (-4 *2 (-605 (-853))))) ((*1 *2 *1) (-12 (-4 *1 (-1124)) (-5 *2 (-558)))) ((*1 *2 *1) (-12 (-4 *1 (-1124)) (-5 *2 (-1145)))) @@ -1748,76 +1867,44 @@ ((*1 *2 *1) (-12 (-5 *2 (-1163)) (-5 *1 (-1168)))) ((*1 *2 *1) (-12 (-5 *2 (-224)) (-5 *1 (-1168)))) ((*1 *2 *1) (-12 (-5 *2 (-558)) (-5 *1 (-1168))))) -(((*1 *2) - (-12 (-4 *4 (-171)) (-5 *2 (-1159 (-942 *4))) (-5 *1 (-415 *3 *4)) - (-4 *3 (-416 *4)))) - ((*1 *2) - (-12 (-4 *1 (-416 *3)) (-4 *3 (-171)) (-4 *3 (-362)) - (-5 *2 (-1159 (-942 *3))))) - ((*1 *2) - (-12 (-5 *2 (-1159 (-406 (-942 *3)))) (-5 *1 (-451 *3 *4 *5 *6)) - (-4 *3 (-550)) (-4 *3 (-171)) (-14 *4 (-911)) - (-14 *5 (-635 (-1163))) (-14 *6 (-1246 (-679 *3)))))) -(((*1 *1 *2 *3) (-12 (-5 *2 (-762)) (-5 *1 (-59 *3)) (-4 *3 (-1200)))) - ((*1 *1 *2) (-12 (-5 *2 (-635 *3)) (-4 *3 (-1200)) (-5 *1 (-59 *3))))) 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*3)))) + ((*1 *2 *3) + (-12 (-5 *3 (-679 (-168 (-406 (-558))))) + (-5 *2 (-942 (-168 (-406 (-558))))) (-5 *1 (-755 *4)) + (-4 *4 (-13 (-362) (-839))))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-679 (-168 (-406 (-558))))) (-5 *4 (-1163)) + (-5 *2 (-942 (-168 (-406 (-558))))) (-5 *1 (-755 *5)) + (-4 *5 (-13 (-362) (-839))))) + ((*1 *2 *3) + (-12 (-5 *3 (-679 (-406 (-558)))) (-5 *2 (-942 (-406 (-558)))) + (-5 *1 (-770 *4)) (-4 *4 (-13 (-362) (-839))))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-679 (-406 (-558)))) (-5 *4 (-1163)) + (-5 *2 (-942 (-406 (-558)))) (-5 *1 (-770 *5)) + (-4 *5 (-13 (-362) (-839)))))) +(((*1 *2 *2 *2 *2 *2 *3) + (-12 (-5 *2 (-679 *4)) (-5 *3 (-762)) (-4 *4 (-1039)) + (-5 *1 (-680 *4))))) +(((*1 *1 *2 *2 *2 *2 *2 *2 *2 *2) + (-12 (-4 *1 (-788 *2)) (-4 *2 (-171)))) + ((*1 *1 *2 *2) + (-12 (-5 *2 (-989 *3)) (-4 *3 (-171)) (-5 *1 (-790 *3))))) +(((*1 *2 *3 *3 *4 *5 *5 *3) + (-12 (-5 *3 (-558)) (-5 *4 (-1145)) (-5 *5 (-679 (-224))) + (-5 *2 (-1025)) (-5 *1 (-738))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) @@ -1834,48 +1921,52 @@ ((*1 *2 *2) (-12 (-5 *2 (-1143 *3)) (-4 *3 (-38 (-406 (-558)))) (-5 *1 (-1149 *3))))) +(((*1 *2 *3) + (-12 + (-5 *3 + (-2 (|:| |xinit| (-224)) (|:| |xend| (-224)) + (|:| |fn| (-1246 (-315 (-224)))) (|:| |yinit| (-635 (-224))) + (|:| |intvals| (-635 (-224))) (|:| |g| (-315 (-224))) + (|:| |abserr| (-224)) (|:| |relerr| (-224)))) + (-5 *2 (-378)) (-5 *1 (-204))))) (((*1 *1 *2 *3) (-12 (-5 *3 (-635 (-1163))) (-5 *2 (-1163)) (-5 *1 (-329))))) -(((*1 *2 *2) (|partial| -12 (-4 *1 (-973 *2)) (-4 *2 (-1185))))) -(((*1 *1 *2 *1) - (-12 (-5 *2 (-1 (-112) *3)) (|has| *1 (-6 -4383)) (-4 *1 (-234 *3)) - (-4 *3 (-1087)))) - ((*1 *1 *2 *1) - (-12 (-5 *2 (-1 (-112) *3)) (-4 *1 (-281 *3)) (-4 *3 (-1200))))) -(((*1 *2 *1) - (|partial| -12 - (-5 *2 (-2 (|:| -3415 (-114)) (|:| |arg| (-635 (-882 *3))))) - (-5 *1 (-882 *3)) (-4 *3 (-1087)))) - ((*1 *2 *1 *3) - (|partial| -12 (-5 *3 (-114)) (-5 *2 (-635 (-882 *4))) - (-5 *1 (-882 *4)) (-4 *4 (-1087))))) -(((*1 *2 *3 *4 *5 *5 *4 *6) - (-12 (-5 *5 (-604 *4)) (-5 *6 (-1159 *4)) - (-4 *4 (-13 (-429 *7) (-27) (-1185))) - (-4 *7 (-13 (-450) (-1028 (-558)) (-841) (-146) (-631 (-558)))) - (-5 *2 - (-2 (|:| |particular| (-3 *4 "failed")) (|:| -1498 (-635 *4)))) - (-5 *1 (-554 *7 *4 *3)) (-4 *3 (-646 *4)) (-4 *3 (-1087)))) - ((*1 *2 *3 *4 *5 *5 *5 *4 *6) - (-12 (-5 *5 (-604 *4)) (-5 *6 (-406 (-1159 *4))) - (-4 *4 (-13 (-429 *7) (-27) (-1185))) - (-4 *7 (-13 (-450) (-1028 (-558)) (-841) (-146) (-631 (-558)))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-168 (-224))) (-5 *4 (-558)) (-5 *2 (-1025)) + (-5 *1 (-749))))) +(((*1 *2 *3) + (-12 (-4 *4 (-450)) (-5 *2 - (-2 (|:| |particular| (-3 *4 "failed")) (|:| -1498 (-635 *4)))) - (-5 *1 (-554 *7 *4 *3)) (-4 *3 (-646 *4)) (-4 *3 (-1087))))) -(((*1 *1 *2 *3) - (-12 (-5 *2 (-1163)) (-5 *3 (-635 (-955))) (-5 *1 (-109))))) -(((*1 *2 *2 *3) - (|partial| -12 (-5 *3 (-1 *6 *6)) (-4 *6 (-1222 *5)) - (-4 *5 (-13 (-27) (-429 *4))) - (-4 *4 (-13 (-841) (-550) (-1028 (-558)))) - (-4 *7 (-1222 (-406 *6))) (-5 *1 (-546 *4 *5 *6 *7 *2)) - (-4 *2 (-341 *5 *6 *7))))) -(((*1 *1 *1 *1 *1 *1) - (-12 (-4 *1 (-1053 *2 *3 *4)) (-4 *2 (-1039)) (-4 *3 (-784)) - (-4 *4 (-841)) (-4 *2 (-550))))) -(((*1 *2 *2 *2 *2 *2) (-12 (-5 *2 (-558)) (-5 *1 (-1037))))) -(((*1 *1 *1) (-5 *1 (-1051)))) + (-635 + (-2 (|:| |eigval| (-3 (-406 (-942 *4)) (-1152 (-1163) (-942 *4)))) + (|:| |geneigvec| (-635 (-679 (-406 (-942 *4)))))))) + (-5 *1 (-291 *4)) (-5 *3 (-679 (-406 (-942 *4))))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-635 (-1 (-112) *8))) (-4 *8 (-1053 *5 *6 *7)) + (-4 *5 (-550)) (-4 *6 (-784)) (-4 *7 (-841)) + (-5 *2 (-2 (|:| |goodPols| (-635 *8)) (|:| |badPols| (-635 *8)))) + (-5 *1 (-967 *5 *6 *7 *8)) (-5 *4 (-635 *8))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-224)) (-5 *4 (-558)) (-5 *2 (-1025)) (-5 *1 (-749))))) +(((*1 *2 *1) + (-12 (-4 *1 (-341 *3 *4 *5)) (-4 *3 (-1204)) (-4 *4 (-1222 *3)) + (-4 *5 (-1222 (-406 *4))) + (-5 *2 (-2 (|:| |num| (-1246 *4)) (|:| |den| *4)))))) +(((*1 *2 *1 *3 *3) + (-12 (-5 *3 (-911)) (-5 *2 (-1251)) (-5 *1 (-1247)))) + ((*1 *2 *1 *3 *3) + (-12 (-5 *3 (-911)) (-5 *2 (-1251)) (-5 *1 (-1248))))) +(((*1 *2 *3 *4 *3 *4 *4 *4 *4 *4) + (-12 (-5 *3 (-679 (-224))) (-5 *4 (-558)) (-5 *2 (-1025)) + (-5 *1 (-746))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-1 *5 *7)) (-5 *4 (-1159 *7)) (-4 *5 (-1039)) + (-4 *7 (-1039)) (-4 *2 (-1222 *5)) (-5 *1 (-499 *5 *2 *6 *7)) + (-4 *6 (-1222 *2)))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-1 *7 *5)) (-4 *5 (-1039)) (-4 *7 (-1039)) + (-4 *4 (-1222 *5)) (-5 *2 (-1159 *7)) (-5 *1 (-499 *5 *4 *6 *7)) + (-4 *6 (-1222 *4))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) @@ -1892,16 +1983,38 @@ ((*1 *2 *2) (-12 (-5 *2 (-1143 *3)) (-4 *3 (-38 (-406 (-558)))) (-5 *1 (-1149 *3))))) -(((*1 *1 *1 *1) (-4 *1 (-543)))) -(((*1 *2 *3) (-12 (-5 *3 (-1246 *1)) (-4 *1 (-366 *2)) (-4 *2 (-171)))) - ((*1 *2) (-12 (-4 *2 (-171)) (-5 *1 (-415 *3 *2)) (-4 *3 (-416 *2)))) - ((*1 *2) (-12 (-4 *1 (-416 *2)) (-4 *2 (-171))))) -(((*1 *2) (-12 (-5 *2 (-558)) (-5 *1 (-996)))) - ((*1 *2 *2) (-12 (-5 *2 (-558)) (-5 *1 (-996))))) (((*1 *2 *3) - (-12 (-5 *3 (-635 (-635 (-933 (-224))))) - (-5 *2 (-635 (-1081 (-224)))) (-5 *1 (-918))))) -(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-330 *3)) (-4 *3 (-841))))) + (-12 (-4 *4 (-550)) (-5 *2 (-1159 *3)) (-5 *1 (-41 *4 *3)) + (-4 *3 + (-13 (-362) (-301) + (-10 -8 (-15 -2164 ((-1112 *4 (-604 $)) $)) + (-15 -2176 ((-1112 *4 (-604 $)) $)) + (-15 -2560 ($ (-1112 *4 (-604 $)))))))))) +(((*1 *2 *1 *3 *4) + (-12 (-5 *3 (-911)) (-5 *4 (-864)) (-5 *2 (-1251)) (-5 *1 (-1247)))) + ((*1 *2 *1 *3 *4) + (-12 (-5 *3 (-911)) (-5 *4 (-1145)) (-5 *2 (-1251)) (-5 *1 (-1247)))) + ((*1 *2 *1 *3) (-12 (-5 *3 (-1145)) (-5 *2 (-1251)) (-5 *1 (-1248))))) +(((*1 *2 *3 *4) + (-12 (-4 *5 (-1087)) (-4 *2 (-890 *5)) (-5 *1 (-682 *5 *2 *3 *4)) + (-4 *3 (-372 *2)) (-4 *4 (-13 (-372 *5) (-10 -7 (-6 -4383))))))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *3 (-1159 *9)) (-5 *4 (-635 *7)) (-5 *5 (-635 *8)) + (-4 *7 (-841)) (-4 *8 (-1039)) (-4 *9 (-939 *8 *6 *7)) + (-4 *6 (-784)) (-5 *2 (-1159 *8)) (-5 *1 (-320 *6 *7 *8 *9))))) +(((*1 *2 *3) (-12 (-5 *3 (-224)) (-5 *2 (-315 (-378))) (-5 *1 (-304))))) +(((*1 *2 *3) + (-12 (-5 *3 (-679 *2)) (-4 *4 (-1222 *2)) + (-4 *2 (-13 (-306) (-10 -8 (-15 -1856 ((-417 $) $))))) + (-5 *1 (-497 *2 *4 *5)) (-4 *5 (-408 *2 *4)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1110 *3 *2 *4 *5)) (-4 *4 (-237 *3 *2)) + (-4 *5 (-237 *3 *2)) (-4 *2 (-1039))))) +(((*1 *1 *1) (-4 *1 (-1048))) + ((*1 *1 *1 *2 *2) + (-12 (-4 *1 (-1224 *3 *2)) (-4 *3 (-1039)) (-4 *2 (-783)))) + ((*1 *1 *1 *2) + (-12 (-4 *1 (-1224 *3 *2)) (-4 *3 (-1039)) (-4 *2 (-783))))) (((*1 *2 *1) (-12 (-4 *1 (-253 *3)) (-4 *3 (-1200)) (-5 *2 (-762)))) ((*1 *2 *1) (-12 (-4 *1 (-301)) (-5 *2 (-762)))) ((*1 *2 *3) @@ -1911,13 +2024,24 @@ ((*1 *2 *1) (-12 (-5 *2 (-762)) (-5 *1 (-604 *3)) (-4 *3 (-841)))) ((*1 *2) (-12 (-5 *2 (-558)) (-5 *1 (-853)))) ((*1 *2 *1) (-12 (-5 *2 (-558)) (-5 *1 (-853))))) -(((*1 *1 *1) (-4 *1 (-621))) - ((*1 *2 *2) - (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-622 *3 *2)) - (-4 *2 (-13 (-429 *3) (-992) (-1185)))))) -(((*1 *2) (-12 (-5 *2 (-894 (-558))) (-5 *1 (-907))))) -(((*1 *1 *1) (-12 (-5 *1 (-600 *2)) (-4 *2 (-1087)))) - ((*1 *1 *1) (-5 *1 (-624)))) +(((*1 *2 *2 *2) + (-12 (-4 *3 (-1039)) (-5 *1 (-1218 *3 *2)) (-4 *2 (-1222 *3))))) +(((*1 *2 *3) + (-12 + (-5 *3 + (-635 + (-2 (|:| -2414 (-762)) + (|:| |eqns| + (-635 + (-2 (|:| |det| *7) (|:| |rows| (-635 (-558))) + (|:| |cols| (-635 (-558)))))) + (|:| |fgb| (-635 *7))))) + (-4 *7 (-939 *4 *6 *5)) (-4 *4 (-13 (-306) (-146))) + (-4 *5 (-13 (-841) (-606 (-1163)))) (-4 *6 (-784)) (-5 *2 (-762)) + (-5 *1 (-914 *4 *5 *6 *7))))) +(((*1 *2 *2) + (-12 (-4 *3 (-13 (-841) (-450))) (-5 *1 (-1191 *3 *2)) + (-4 *2 (-13 (-429 *3) (-1185)))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) @@ -1934,19 +2058,22 @@ ((*1 *2 *2) (-12 (-5 *2 (-1143 *3)) (-4 *3 (-38 (-406 (-558)))) (-5 *1 (-1149 *3))))) -(((*1 *2 *2) - (|partial| -12 (-5 *2 (-635 (-942 *3))) (-4 *3 (-450)) - (-5 *1 (-359 *3 *4)) (-14 *4 (-635 (-1163))))) - ((*1 *2 *2) - (|partial| -12 (-5 *2 (-635 (-771 *3 (-855 *4)))) (-4 *3 (-450)) - (-14 *4 (-635 (-1163))) (-5 *1 (-620 *3 *4))))) -(((*1 *2 *1) (-12 (-4 *1 (-1108 *2)) (-4 *2 (-1200))))) -(((*1 *1) (-5 *1 (-436)))) -(((*1 *2 *3 *1) - (-12 (-4 *4 (-450)) (-4 *5 (-784)) (-4 *6 (-841)) - (-4 *3 (-1053 *4 *5 *6)) (-5 *2 (-3 (-112) (-635 *1))) - (-4 *1 (-1059 *4 *5 *6 *3))))) -(((*1 *2 *1 *3) (-12 (-5 *3 (-1145)) (-5 *2 (-1251)) (-5 *1 (-813))))) +(((*1 *2 *3 *3 *3 *3 *4 *5 *5 *6 *7 *8 *8 *3) + (-12 (-5 *6 (-635 (-112))) (-5 *7 (-679 (-224))) + (-5 *8 (-679 (-558))) (-5 *3 (-558)) (-5 *4 (-224)) (-5 *5 (-112)) + (-5 *2 (-1025)) (-5 *1 (-745))))) +(((*1 *2 *3) + (-12 (-5 *2 (-1 (-933 *3) (-933 *3))) (-5 *1 (-175 *3)) + (-4 *3 (-13 (-362) (-1185) (-992)))))) +(((*1 *2 *3) + (-12 (-4 *4 (-550)) (-4 *5 (-784)) (-4 *6 (-841)) + (-4 *7 (-1053 *4 *5 *6)) + (-5 *2 (-2 (|:| |goodPols| (-635 *7)) (|:| |badPols| (-635 *7)))) + (-5 *1 (-967 *4 *5 *6 *7)) (-5 *3 (-635 *7))))) +(((*1 *2 *3 *4) + (-12 (-5 *4 (-1 *3 *3)) (-4 *3 (-1222 *5)) (-4 *5 (-362)) + (-5 *2 (-2 (|:| -1543 (-417 *3)) (|:| |special| (-417 *3)))) + (-5 *1 (-718 *5 *3))))) (((*1 *1 *1) (-4 *1 (-34))) ((*1 *1 *1) (-5 *1 (-114))) ((*1 *1 *1) (-5 *1 (-170))) ((*1 *1 *1) (-4 *1 (-543))) ((*1 *1 *1) (-12 (-5 *1 (-882 *2)) (-4 *2 (-1087)))) @@ -1960,18 +2087,26 @@ (-2 (|:| -2269 *4) (|:| -3773 *4) (|:| |totalpts| (-558)) (|:| |success| (-112)))) (-5 *1 (-780)) (-5 *5 (-558))))) -(((*1 *2 *2 *3) - (-12 (-5 *3 (-1163)) (-4 *4 (-550)) (-4 *4 (-841)) - (-5 *1 (-567 *4 *2)) (-4 *2 (-429 *4))))) -(((*1 *2 *1 *1) - (-12 (-4 *1 (-1053 *3 *4 *5)) (-4 *3 (-1039)) (-4 *4 (-784)) - (-4 *5 (-841)) (-5 *2 (-112))))) +(((*1 *1 *2) + (-12 (-5 *2 (-635 (-635 *3))) (-4 *3 (-1087)) (-4 *1 (-893 *3))))) (((*1 *2 *3) - (-12 (-4 *4 (-1039)) - (-4 *2 (-13 (-403) (-1028 *4) (-362) (-1185) (-283))) - (-5 *1 (-441 *4 *3 *2)) (-4 *3 (-1222 *4))))) + (-12 (-4 *4 (-550)) (-4 *5 (-784)) (-4 *6 (-841)) + (-4 *7 (-1053 *4 *5 *6)) + (-5 *2 (-2 (|:| |goodPols| (-635 *7)) (|:| |badPols| (-635 *7)))) + (-5 *1 (-967 *4 *5 *6 *7)) (-5 *3 (-635 *7))))) +(((*1 *2 *3 *3) + (-12 (-5 *3 (-1246 *5)) (-4 *5 (-783)) (-5 *2 (-112)) + (-5 *1 (-836 *4 *5)) (-14 *4 (-762))))) (((*1 *2 *1 *3 *4) (-12 (-5 *3 (-466)) (-5 *4 (-911)) (-5 *2 (-1251)) (-5 *1 (-1247))))) +(((*1 *2 *3 *3) + (-12 (-4 *4 (-450)) (-4 *5 (-784)) (-4 *6 (-841)) + (-4 *7 (-1053 *4 *5 *6)) (-5 *2 (-112)) + (-5 *1 (-978 *4 *5 *6 *7 *3)) (-4 *3 (-1059 *4 *5 *6 *7)))) + ((*1 *2 *3 *3) + (-12 (-4 *4 (-450)) (-4 *5 (-784)) (-4 *6 (-841)) + (-4 *7 (-1053 *4 *5 *6)) (-5 *2 (-112)) + (-5 *1 (-1094 *4 *5 *6 *7 *3)) (-4 *3 (-1059 *4 *5 *6 *7))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *1 *1 *1) (-5 *1 (-224))) ((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) @@ -1992,13 +2127,6 @@ ((*1 *2 *2) (-12 (-5 *2 (-1143 *3)) (-4 *3 (-38 (-406 (-558)))) (-5 *1 (-1149 *3))))) -(((*1 *2 *3 *4) - (-12 (-5 *4 (-1163)) - (-4 *5 (-13 (-550) (-841) (-1028 (-558)) (-631 (-558)))) - (-5 *2 - (-2 (|:| |func| *3) (|:| |kers| (-635 (-604 *3))) - (|:| |vals| (-635 *3)))) - (-5 *1 (-276 *5 *3)) (-4 *3 (-13 (-27) (-1185) (-429 *5)))))) (((*1 *1 *2 *3) (-12 (-4 *1 (-381 *3 *2)) (-4 *3 (-1039)) (-4 *2 (-1087)))) ((*1 *2 *3 *4) @@ -2007,47 +2135,36 @@ ((*1 *1 *2 *3) (-12 (-5 *2 (-810 *4)) (-4 *4 (-841)) (-4 *1 (-1263 *4 *3)) (-4 *3 (-1039))))) -(((*1 *2 *3 *1) - (-12 (-4 *1 (-1059 *4 *5 *6 *3)) (-4 *4 (-450)) (-4 *5 (-784)) - (-4 *6 (-841)) (-4 *3 (-1053 *4 *5 *6)) (-5 *2 (-112)))) - ((*1 *2 *3 *1) - (-12 (-4 *4 (-450)) (-4 *5 (-784)) (-4 *6 (-841)) - (-4 *3 (-1053 *4 *5 *6)) - (-5 *2 (-635 (-2 (|:| |val| (-112)) (|:| -2406 *1)))) - (-4 *1 (-1059 *4 *5 *6 *3))))) -(((*1 *2 *3) - (|partial| -12 (-4 *4 (-13 (-550) (-841) (-1028 (-558)))) - (-4 *5 (-429 *4)) (-5 *2 (-417 (-1159 (-406 (-558))))) - (-5 *1 (-434 *4 *5 *3)) (-4 *3 (-1222 *5))))) +(((*1 *2 *3) (-12 (-5 *3 (-911)) (-5 *2 (-894 (-558))) (-5 *1 (-907)))) + ((*1 *2 *3) + (-12 (-5 *3 (-635 (-558))) (-5 *2 (-894 (-558))) (-5 *1 (-907))))) +(((*1 *2) (-12 (-5 *2 (-762)) (-5 *1 (-443 *3)) (-4 *3 (-1039))))) (((*1 *2 *1) - (-12 (-4 *1 (-1053 *3 *4 *5)) (-4 *3 (-1039)) (-4 *4 (-784)) - (-4 *5 (-841)) (-5 *2 (-112))))) -(((*1 *1 *1) (-12 (-5 *1 (-417 *2)) (-4 *2 (-550))))) -(((*1 *2 *3 *3) - (-12 (-5 *3 (-635 *7)) (-4 *7 (-1053 *4 *5 *6)) (-4 *4 (-550)) - (-4 *5 (-784)) (-4 *6 (-841)) (-5 *2 (-112)) - (-5 *1 (-967 *4 *5 *6 *7))))) + (-12 (-4 *3 (-1039)) (-4 *4 (-784)) (-4 *5 (-841)) (-5 *2 (-635 *1)) + (-4 *1 (-1053 *3 *4 *5))))) (((*1 *1 *2) (-12 (-5 *2 (-1107)) (-5 *1 (-329))))) +(((*1 *2 *1) (-12 (-5 *2 (-635 (-1145))) (-5 *1 (-393)))) + ((*1 *2 *1) (-12 (-5 *2 (-635 (-1145))) (-5 *1 (-1180))))) +(((*1 *1 *1 *1) + (-12 (|has| *1 (-6 -4384)) (-4 *1 (-243 *2)) (-4 *2 (-1200))))) (((*1 *1 *2 *2) (-12 (-5 *2 - (-3 (|:| I (-315 (-558))) (|:| -3198 (-315 (-378))) + (-3 (|:| I (-315 (-558))) (|:| -3199 (-315 (-378))) (|:| CF (-315 (-168 (-378)))) (|:| |switch| (-1162)))) (-5 *1 (-1162))))) -(((*1 *2 *2 *2) - (-12 (-4 *3 (-362)) (-5 *1 (-757 *2 *3)) (-4 *2 (-699 *3)))) - ((*1 *1 *1 *1) (-12 (-4 *1 (-843 *2)) (-4 *2 (-1039)) (-4 *2 (-362))))) -(((*1 *2 *2) - (-12 (-5 *2 (-933 *3)) (-4 *3 (-13 (-362) (-1185) (-992))) - (-5 *1 (-175 *3))))) -(((*1 *2 *2) - (-12 (-5 *2 (-635 (-2 (|:| |val| (-635 *6)) (|:| -2406 *7)))) - (-4 *6 (-1053 *3 *4 *5)) (-4 *7 (-1059 *3 *4 *5 *6)) (-4 *3 (-450)) - (-4 *4 (-784)) (-4 *5 (-841)) (-5 *1 (-978 *3 *4 *5 *6 *7)))) - ((*1 *2 *2) - (-12 (-5 *2 (-635 (-2 (|:| |val| (-635 *6)) (|:| -2406 *7)))) - (-4 *6 (-1053 *3 *4 *5)) (-4 *7 (-1059 *3 *4 *5 *6)) (-4 *3 (-450)) - (-4 *4 (-784)) (-4 *5 (-841)) (-5 *1 (-1094 *3 *4 *5 *6 *7))))) +(((*1 *1 *2) (-12 (-5 *2 (-558)) (-5 *1 (-1050)))) + ((*1 *1 *2) (-12 (-5 *2 (-1163)) (-5 *1 (-1050))))) +(((*1 *2 *3 *4 *4 *4 *4 *5 *5) + (-12 (-5 *3 (-1 (-378) (-378))) (-5 *4 (-378)) + (-5 *2 + (-2 (|:| -2269 *4) (|:| -3773 *4) (|:| |totalpts| (-558)) + (|:| |success| (-112)))) + (-5 *1 (-780)) (-5 *5 (-558))))) +(((*1 *2 *1) + (-12 (-4 *1 (-1028 (-558))) (-4 *1 (-301)) (-5 *2 (-112)))) + ((*1 *2 *1) (-12 (-4 *1 (-543)) (-5 *2 (-112)))) + ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-895 *3)) (-4 *3 (-1087))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) @@ -2080,14 +2197,17 @@ (-4 *4 (-13 (-1039) (-876 *3) (-841) (-606 (-882 *3)))))) ((*1 *2 *1) (-12 (-4 *2 (-1087)) (-5 *1 (-1152 *3 *2)) (-4 *3 (-1087))))) -(((*1 *2 *2 *3) (-12 (-5 *2 (-558)) (-5 *3 (-762)) (-5 *1 (-555))))) -(((*1 *2 *3 *2) - (-12 (-5 *2 (-911)) (-5 *3 (-635 (-262))) (-5 *1 (-260)))) - ((*1 *1 *2) (-12 (-5 *2 (-911)) (-5 *1 (-262))))) -(((*1 *2 *1) (-12 (-5 *2 (-1145)) (-5 *1 (-1181))))) -(((*1 *2 *3 *3 *3 *4 *4 *3) - (-12 (-5 *3 (-558)) (-5 *4 (-679 (-224))) (-5 *2 (-1025)) - (-5 *1 (-746))))) +(((*1 *2 *2) (-12 (-5 *1 (-951 *2)) (-4 *2 (-543))))) +(((*1 *1 *1) (-12 (-4 *1 (-664 *2)) (-4 *2 (-1200))))) +(((*1 *2 *2 *3) (-12 (-5 *3 (-558)) (-5 *1 (-1174 *2)) (-4 *2 (-362))))) +(((*1 *2 *1) + (-12 (-4 *3 (-1039)) (-5 *2 (-1246 *3)) (-5 *1 (-703 *3 *4)) + (-4 *4 (-1222 *3))))) +(((*1 *2 *1) + (-12 (-4 *1 (-1263 *3 *4)) (-4 *3 (-841)) (-4 *4 (-1039)) + (-5 *2 (-810 *3)))) + ((*1 *2 *1) + (-12 (-4 *2 (-837)) (-5 *1 (-1269 *3 *2)) (-4 *3 (-1039))))) (((*1 *2 *1 *3 *3 *2) (-12 (-5 *3 (-558)) (-4 *1 (-57 *2 *4 *5)) (-4 *2 (-1200)) (-4 *4 (-372 *2)) (-4 *5 (-372 *2)))) @@ -2122,34 +2242,27 @@ ((*1 *2 *1 *3 *2) (-12 (-5 *3 "first") (|has| *1 (-6 -4384)) (-4 *1 (-1234 *2)) (-4 *2 (-1200))))) -(((*1 *2 *3 *3) - (-12 (-4 *4 (-13 (-306) (-146))) (-4 *5 (-13 (-841) (-606 (-1163)))) - (-4 *6 (-784)) (-4 *7 (-939 *4 *6 *5)) - (-5 *2 - (-2 (|:| |sysok| (-112)) (|:| |z0| (-635 *7)) (|:| |n0| (-635 *7)))) - (-5 *1 (-914 *4 *5 *6 *7)) (-5 *3 (-635 *7))))) -(((*1 *2 *1) (-12 (-5 *2 (-1251)) (-5 *1 (-813))))) -(((*1 *2 *2) - (-12 (-4 *3 (-450)) (-4 *3 (-841)) (-4 *3 (-1028 (-558))) - (-4 *3 (-550)) (-5 *1 (-41 *3 *2)) (-4 *2 (-429 *3)) - (-4 *2 - (-13 (-362) (-301) - (-10 -8 (-15 -2163 ((-1112 *3 (-604 $)) $)) - (-15 -2176 ((-1112 *3 (-604 $)) $)) - (-15 -2560 ($ (-1112 *3 (-604 $)))))))))) +(((*1 *2 *3) + (-12 (-5 *2 (-417 (-1159 *1))) (-5 *1 (-315 *4)) (-5 *3 (-1159 *1)) + (-4 *4 (-450)) (-4 *4 (-550)) (-4 *4 (-841)))) + ((*1 *2 *3) + (-12 (-4 *1 (-899)) (-5 *2 (-417 (-1159 *1))) (-5 *3 (-1159 *1))))) +(((*1 *2 *3 *3) (-12 (-5 *3 (-1145)) (-5 *2 (-311)) (-5 *1 (-820))))) (((*1 *1 *2 *2) (-12 (-5 *2 - (-3 (|:| I (-315 (-558))) (|:| -3198 (-315 (-378))) + (-3 (|:| I (-315 (-558))) (|:| -3199 (-315 (-378))) (|:| CF (-315 (-168 (-378)))) (|:| |switch| (-1162)))) (-5 *1 (-1162))))) +(((*1 *1 *1) + (-12 (-5 *1 (-588 *2)) (-4 *2 (-38 (-406 (-558)))) (-4 *2 (-1039))))) (((*1 *2 *3) - (-12 (-4 *2 (-1222 *4)) (-5 *1 (-800 *4 *2 *3 *5)) - (-4 *4 (-13 (-362) (-146) (-1028 (-406 (-558))))) (-4 *3 (-646 *2)) - (-4 *5 (-646 (-406 *2)))))) + (-12 (-5 *3 (-679 (-406 (-942 *4)))) (-4 *4 (-450)) + (-5 *2 (-635 (-3 (-406 (-942 *4)) (-1152 (-1163) (-942 *4))))) + (-5 *1 (-291 *4))))) (((*1 *2 *3) - (-12 (-5 *3 (-1 *5 *4 *4)) (-4 *4 (-1087)) (-4 *5 (-1087)) - (-5 *2 (-1 *5 *4)) (-5 *1 (-673 *4 *5))))) + (-12 (-5 *3 (-882 *4)) (-4 *4 (-1087)) (-5 *2 (-635 *5)) + (-5 *1 (-880 *4 *5)) (-4 *5 (-1200))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) @@ -2169,8 +2282,6 @@ ((*1 *2 *2) (-12 (-5 *2 (-1143 *3)) (-4 *3 (-38 (-406 (-558)))) (-5 *1 (-1149 *3))))) -(((*1 *1 *1) - (-12 (-5 *1 (-588 *2)) (-4 *2 (-38 (-406 (-558)))) (-4 *2 (-1039))))) (((*1 *2 *1) (-12 (-5 *2 (-1122)) (-5 *1 (-136)))) ((*1 *2 *1) (-12 (-5 *2 (-1122)) (-5 *1 (-155)))) ((*1 *2 *1) (-12 (-5 *1 (-293 *2)) (-4 *2 (-1200)))) @@ -2184,36 +2295,34 @@ (-4 *4 (-13 (-1039) (-876 *3) (-841) (-606 (-882 *3)))))) ((*1 *2 *1) (-12 (-4 *2 (-1087)) (-5 *1 (-1152 *2 *3)) (-4 *3 (-1087))))) -(((*1 *1 *1) (-12 (-4 *1 (-664 *2)) (-4 *2 (-1200))))) -(((*1 *2 *2) - (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) - (-4 *2 (-13 (-429 *3) (-992)))))) +(((*1 *2 *1) (-12 (-4 *1 (-664 *2)) (-4 *2 (-1200))))) +(((*1 *2) + (-12 (-4 *1 (-341 *3 *4 *5)) (-4 *3 (-1204)) (-4 *4 (-1222 *3)) + (-4 *5 (-1222 (-406 *4))) (-5 *2 (-112))))) (((*1 *2 *1) - (-12 (-5 *2 (-112)) (-5 *1 (-1151 *3 *4)) (-14 *3 (-911)) - (-4 *4 (-1039))))) -(((*1 *2 *3) - (-12 (-4 *4 (-450)) (-4 *5 (-784)) (-4 *6 (-841)) (-5 *2 (-1251)) - (-5 *1 (-447 *4 *5 *6 *3)) (-4 *3 (-939 *4 *5 *6))))) -(((*1 *1 *1) - (-12 (-5 *1 (-588 *2)) (-4 *2 (-38 (-406 (-558)))) (-4 *2 (-1039))))) -(((*1 *2 *2) - (-12 (-4 *3 (-13 (-841) (-450))) (-5 *1 (-1191 *3 *2)) - (-4 *2 (-13 (-429 *3) (-1185)))))) + (|partial| -12 (-4 *1 (-1229 *3 *2)) (-4 *3 (-1039)) + (-4 *2 (-1206 *3))))) +(((*1 *2) + (-12 (-4 *4 (-171)) (-5 *2 (-112)) (-5 *1 (-365 *3 *4)) + (-4 *3 (-366 *4)))) + ((*1 *2) (-12 (-4 *1 (-366 *3)) (-4 *3 (-171)) (-5 *2 (-112))))) +(((*1 *1 *2) (-12 (-5 *2 (-635 (-1081 (-406 (-558))))) (-5 *1 (-262)))) + ((*1 *1 *2) (-12 (-5 *2 (-635 (-1081 (-378)))) (-5 *1 (-262))))) +(((*1 *2 *3 *1) + (|partial| -12 (-5 *3 (-1163)) (-5 *2 (-635 (-955))) (-5 *1 (-290))))) (((*1 *1 *1) (-5 *1 (-1162))) ((*1 *1 *2) (-12 (-5 *2 - (-3 (|:| I (-315 (-558))) (|:| -3198 (-315 (-378))) + (-3 (|:| I (-315 (-558))) (|:| -3199 (-315 (-378))) (|:| CF (-315 (-168 (-378)))) (|:| |switch| (-1162)))) (-5 *1 (-1162))))) (((*1 *2 *2) - (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) - (-4 *2 (-13 (-429 *3) (-992)))))) -(((*1 *2 *3 *4) - (-12 (-5 *4 (-1 *2 *2)) (-4 *5 (-362)) (-4 *6 (-1222 (-406 *2))) - (-4 *2 (-1222 *5)) (-5 *1 (-214 *5 *2 *6 *3)) - (-4 *3 (-341 *5 *2 *6))))) -(((*1 *2 *2) (-12 (-5 *1 (-951 *2)) (-4 *2 (-543))))) + (-12 (-4 *3 (-13 (-841) (-450))) (-5 *1 (-1191 *3 *2)) + (-4 *2 (-13 (-429 *3) (-1185)))))) +(((*1 *2 *3 *3 *4 *5 *5 *5 *5 *3) + (-12 (-5 *3 (-558)) (-5 *4 (-1145)) (-5 *5 (-679 (-224))) + (-5 *2 (-1025)) (-5 *1 (-738))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) (-4 *2 (-13 (-429 *3) (-992))))) @@ -2230,34 +2339,37 @@ (-12 (-5 *2 (-1143 *3)) (-4 *3 (-38 (-406 (-558)))) (-5 *1 (-1149 *3)))) ((*1 *1 *1) (-4 *1 (-1188)))) +(((*1 *2 *3 *1) + (-12 (-5 *3 (-1 (-112) *4)) (|has| *1 (-6 -4383)) (-4 *1 (-487 *4)) + (-4 *4 (-1200)) (-5 *2 (-112))))) (((*1 *1 *1 *2) (-12 (-5 *2 (-1213 (-558))) (-4 *1 (-641 *3)) (-4 *3 (-1200)))) ((*1 *1 *1 *2) (-12 (-5 *2 (-558)) (-4 *1 (-641 *3)) (-4 *3 (-1200))))) (((*1 *2) (-12 (-4 *1 (-341 *3 *4 *5)) (-4 *3 (-1204)) (-4 *4 (-1222 *3)) - (-4 *5 (-1222 (-406 *4))) (-5 *2 (-112))))) + (-4 *5 (-1222 (-406 *4))) (-5 *2 (-679 (-406 *4)))))) (((*1 *2 *3 *4 *4 *5) (-12 (-5 *3 (-1 (-168 (-224)) (-168 (-224)))) (-5 *4 (-1081 (-224))) (-5 *5 (-112)) (-5 *2 (-1248)) (-5 *1 (-256))))) -(((*1 *1 *1 *2) - (-12 (-5 *2 (-558)) (|has| *1 (-6 -4384)) (-4 *1 (-1234 *3)) - (-4 *3 (-1200))))) -(((*1 *1 *1 *1 *2) - (-12 (-5 *2 (-558)) (|has| *1 (-6 -4384)) (-4 *1 (-372 *3)) - (-4 *3 (-1200))))) -(((*1 *2 *3 *3 *4 *4 *3 *4 *4 *3 *3 *3) - (-12 (-5 *3 (-558)) (-5 *4 (-679 (-224))) (-5 *2 (-1025)) - (-5 *1 (-743))))) -(((*1 *2 *3) - (-12 (-5 *3 (-635 (-558))) (-5 *2 (-894 (-558))) (-5 *1 (-907)))) - ((*1 *2) (-12 (-5 *2 (-894 (-558))) (-5 *1 (-907))))) +(((*1 *2 *2 *3) + (-12 (-4 *3 (-1039)) (-5 *1 (-442 *3 *2)) (-4 *2 (-1222 *3))))) +(((*1 *1 *1 *2 *3) + (-12 (-5 *2 (-558)) (-4 *1 (-57 *4 *5 *3)) (-4 *4 (-1200)) + (-4 *5 (-372 *4)) (-4 *3 (-372 *4))))) +(((*1 *2 *3 *4 *4) + (-12 (-5 *3 (-635 *5)) (-5 *4 (-558)) (-4 *5 (-839)) (-4 *5 (-362)) + (-5 *2 (-762)) (-5 *1 (-935 *5 *6)) (-4 *6 (-1222 *5))))) (((*1 *2 *2) (|partial| -12 (-5 *2 (-315 (-224))) (-5 *1 (-304)))) ((*1 *2 *1) (|partial| -12 (-5 *2 (-2 (|:| |num| (-882 *3)) (|:| |den| (-882 *3)))) (-5 *1 (-882 *3)) (-4 *3 (-1087))))) -(((*1 *1 *2) - (-12 (-5 *2 (-1 (-1143 *3))) (-5 *1 (-1143 *3)) (-4 *3 (-1200))))) +(((*1 *2 *3 *3 *3 *4 *4 *5 *5 *5 *3 *5 *5 *3 *6 *3 *3 *3) + (-12 (-5 *5 (-679 (-224))) (-5 *6 (-679 (-558))) (-5 *3 (-558)) + (-5 *4 (-224)) (-5 *2 (-1025)) (-5 *1 (-743))))) +(((*1 *2 *3 *3) + (-12 (-5 *3 (-635 *4)) (-4 *4 (-362)) (-4 *2 (-1222 *4)) + (-5 *1 (-912 *4 *2))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) (-4 *2 (-13 (-429 *3) (-992))))) @@ -2278,35 +2390,28 @@ (-12 (-5 *3 (-99 *5)) (-5 *4 (-1 *5 *5)) (-4 *5 (-1039)) (-5 *1 (-844 *5 *2)) (-4 *2 (-843 *5))))) (((*1 *1 *1 *2) - (-12 (-5 *2 (-762)) (-4 *1 (-373 *3 *4)) (-4 *3 (-841)) - (-4 *4 (-171)))) - ((*1 *1 *1 *2) - (-12 (-5 *2 (-762)) (-4 *1 (-1267 *3 *4)) (-4 *3 (-841)) - (-4 *4 (-1039))))) -(((*1 *2 *3) - (-12 (-4 *4 (-13 (-362) (-839))) - (-5 *2 (-2 (|:| |start| *3) (|:| -1285 (-417 *3)))) - (-5 *1 (-180 *4 *3)) (-4 *3 (-1222 (-168 *4)))))) + (-12 (-5 *2 (-558)) (|has| *1 (-6 -4384)) (-4 *1 (-1234 *3)) + (-4 *3 (-1200))))) (((*1 *1 *1 *2) - (-12 (-5 *2 (-762)) (-5 *1 (-1151 *3 *4)) (-14 *3 (-911)) - (-4 *4 (-1039))))) -(((*1 *2 *3) - (-12 (-4 *4 (-13 (-841) (-550))) (-5 *2 (-112)) (-5 *1 (-275 *4 *3)) - (-4 *3 (-13 (-429 *4) (-992)))))) -(((*1 *2 *1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-170))))) -(((*1 *1 *1 *1) (-5 *1 (-112))) ((*1 *1 *1 *1) (-4 *1 (-123)))) -(((*1 *1 *2 *3 *3 *4 *5) - (-12 (-5 *2 (-635 (-635 (-933 (-224))))) (-5 *3 (-635 (-864))) - (-5 *4 (-635 (-911))) (-5 *5 (-635 (-262))) (-5 *1 (-466)))) - ((*1 *1 *2 *3 *3 *4) - (-12 (-5 *2 (-635 (-635 (-933 (-224))))) (-5 *3 (-635 (-864))) - (-5 *4 (-635 (-911))) (-5 *1 (-466)))) - ((*1 *1 *2) (-12 (-5 *2 (-635 (-635 (-933 (-224))))) (-5 *1 (-466)))) - ((*1 *1 *1) (-5 *1 (-466)))) -(((*1 *1 *2 *3) (-12 (-5 *2 (-762)) (-5 *3 (-112)) (-5 *1 (-110)))) - ((*1 *2 *2) (-12 (-5 *2 (-911)) (|has| *1 (-6 -4374)) (-4 *1 (-403)))) - ((*1 *2) (-12 (-4 *1 (-403)) (-5 *2 (-911))))) -(((*1 *2 *1) (-12 (-4 *1 (-1121 *3)) (-4 *3 (-1039)) (-5 *2 (-112))))) + (-12 (-5 *1 (-1127 *2 *3)) (-4 *2 (-13 (-1087) (-34))) + (-4 *3 (-13 (-1087) (-34)))))) +(((*1 *1 *1 *1) (-12 (-5 *1 (-773 *2)) (-4 *2 (-1039)))) + ((*1 *1 *1 *1) + (-12 (-4 *1 (-1053 *2 *3 *4)) (-4 *2 (-1039)) (-4 *3 (-784)) + (-4 *4 (-841))))) +(((*1 *2 *2) + (-12 + (-5 *2 + (-977 (-406 (-558)) (-855 *3) (-239 *4 (-762)) + (-246 *3 (-406 (-558))))) + (-14 *3 (-635 (-1163))) (-14 *4 (-762)) (-5 *1 (-976 *3 *4))))) +(((*1 *1 *2 *2 *3 *1) + (-12 (-5 *2 (-1163)) (-5 *3 (-1091)) (-5 *1 (-290))))) +(((*1 *1 *2 *3) (-12 (-5 *3 (-558)) (-5 *1 (-417 *2)) (-4 *2 (-550))))) +(((*1 *2 *1) (-12 (-4 *1 (-985 *2)) (-4 *2 (-1200))))) +(((*1 *2 *1) + (-12 (-4 *1 (-328 *3)) (-4 *3 (-362)) (-4 *3 (-367)) + (-5 *2 (-1159 *3))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) (-4 *2 (-13 (-429 *3) (-992))))) @@ -2332,30 +2437,54 @@ (-4 *8 (-1039)) (-4 *2 (-939 *9 *7 *5)) (-5 *1 (-719 *5 *6 *7 *8 *9 *4 *2)) (-4 *7 (-784)) (-4 *4 (-939 *8 *6 *5))))) -(((*1 *2 *2 *3) - (-12 (-5 *2 (-635 (-942 *4))) (-5 *3 (-635 (-1163))) (-4 *4 (-450)) - (-5 *1 (-908 *4))))) -(((*1 *2 *3 *3 *3 *3 *3 *4 *4 *4 *5) - (-12 (-5 *3 (-224)) (-5 *4 (-558)) - (-5 *5 (-3 (|:| |fn| (-387)) (|:| |fp| (-64 G)))) (-5 *2 (-1025)) - (-5 *1 (-739))))) +(((*1 *2) (-12 (-4 *1 (-366 *3)) (-4 *3 (-171)) (-5 *2 (-112))))) +(((*1 *1 *1 *2) (-12 (-4 *1 (-1002)) (-5 *2 (-853))))) +(((*1 *1 *1 *1 *2) + (-12 (-5 *2 (-558)) (|has| *1 (-6 -4384)) (-4 *1 (-372 *3)) + (-4 *3 (-1200))))) (((*1 *2 *3) - (|partial| -12 (-5 *2 (-558)) (-5 *1 (-1182 *3)) (-4 *3 (-1039))))) -(((*1 *2 *3 *4 *5 *6 *5) - (-12 (-5 *4 (-168 (-224))) (-5 *5 (-558)) (-5 *6 (-1145)) - (-5 *3 (-224)) (-5 *2 (-1025)) (-5 *1 (-749))))) -(((*1 *2 *1) - (-12 (-4 *3 (-1039)) (-4 *4 (-784)) (-4 *5 (-841)) (-5 *2 (-635 *1)) - (-4 *1 (-1053 *3 *4 *5))))) -(((*1 *2) - (-12 (-4 *3 (-550)) (-5 *2 (-635 *4)) (-5 *1 (-43 *3 *4)) - (-4 *4 (-416 *3))))) + (-12 (-5 *3 (-635 *2)) (-4 *2 (-1222 *4)) (-5 *1 (-537 *4 *2 *5 *6)) + (-4 *4 (-306)) (-14 *5 *4) (-14 *6 (-1 *4 *4 (-762)))))) +(((*1 *1 *1) (-12 (-5 *1 (-173 *2)) (-4 *2 (-306))))) (((*1 *2 *3 *3) - (-12 (-4 *4 (-13 (-362) (-146) (-1028 (-558)))) (-4 *5 (-1222 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((*1 *2 *3 *4) + (-12 (-4 *5 (-450)) (-4 *6 (-784)) (-4 *7 (-841)) + (-4 *3 (-1053 *5 *6 *7)) + (-5 *2 + (-2 (|:| |done| (-635 *4)) + (|:| |todo| (-635 (-2 (|:| |val| (-635 *3)) (|:| -2406 *4)))))) + (-5 *1 (-1057 *5 *6 *7 *3 *4)) (-4 *4 (-1059 *5 *6 *7 *3)))) + ((*1 *2 *3 *4 *5) + (-12 (-5 *5 (-762)) (-4 *6 (-450)) (-4 *7 (-784)) (-4 *8 (-841)) + (-4 *3 (-1053 *6 *7 *8)) + (-5 *2 + (-2 (|:| |done| (-635 *4)) + (|:| |todo| (-635 (-2 (|:| |val| (-635 *3)) (|:| -2406 *4)))))) + (-5 *1 (-1132 *6 *7 *8 *3 *4)) (-4 *4 (-1096 *6 *7 *8 *3)))) + ((*1 *2 *3 *4) + (-12 (-4 *5 (-450)) (-4 *6 (-784)) (-4 *7 (-841)) + (-4 *3 (-1053 *5 *6 *7)) + (-5 *2 + (-2 (|:| |done| (-635 *4)) + (|:| |todo| (-635 (-2 (|:| |val| (-635 *3)) (|:| -2406 *4)))))) + (-5 *1 (-1132 *5 *6 *7 *3 *4)) (-4 *4 (-1096 *5 *6 *7 *3))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) (-4 *2 (-13 (-429 *3) (-992))))) @@ -2375,69 +2504,68 @@ (-12 (-5 *2 (-1143 *3)) (-4 *3 (-38 (-406 (-558)))) (-5 *1 (-1149 *3)))) ((*1 *1 *1) (-4 *1 (-1188)))) -(((*1 *1) (-5 *1 (-466)))) (((*1 *2 *1) (-12 (-5 *2 (-635 *5)) (-5 *1 (-135 *3 *4 *5)) (-14 *3 (-558)) (-14 *4 (-762)) (-4 *5 (-171))))) -(((*1 *2 *1 *1) - (-12 - (-5 *2 - (-2 (|:| -2364 *3) (|:| |coef1| (-773 *3)) (|:| |coef2| (-773 *3)))) - (-5 *1 (-773 *3)) (-4 *3 (-550)) (-4 *3 (-1039))))) +(((*1 *2 *3 *3 *4 *4 *3 *4 *4 *3 *3 *3) + (-12 (-5 *3 (-558)) (-5 *4 (-679 (-224))) (-5 *2 (-1025)) + (-5 *1 (-743))))) +(((*1 *2 *3 *4 *4 *4 *3 *4 *3) + (-12 (-5 *3 (-558)) (-5 *4 (-679 (-224))) (-5 *2 (-1025)) + (-5 *1 (-742))))) (((*1 *2 *3 *1) - (-12 (-5 *3 (-1 (-112) *4)) (|has| *1 (-6 -4383)) (-4 *1 (-487 *4)) - (-4 *4 (-1200)) (-5 *2 (-112))))) -(((*1 *2 *2) - (-12 (-5 *2 (-114)) (-4 *3 (-13 (-841) (-550))) (-5 *1 (-32 *3 *4)) - (-4 *4 (-429 *3)))) - ((*1 *1 *2 *3) (-12 (-5 *2 (-1163)) (-5 *3 (-762)) (-5 *1 (-114)))) - ((*1 *1 *2) (-12 (-5 *2 (-1163)) (-5 *1 (-114)))) - ((*1 *2 *2) - (-12 (-5 *2 (-114)) (-4 *3 (-13 (-841) (-550))) (-5 *1 (-157 *3 *4)) 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(-12 (-4 *1 (-1222 *2)) (-4 *2 (-1039)) (-4 *2 (-171))))) +(((*1 *2 *3) + (-12 (|has| *6 (-6 -4384)) (-4 *4 (-362)) (-4 *5 (-372 *4)) + (-4 *6 (-372 *4)) (-5 *2 (-635 *6)) (-5 *1 (-519 *4 *5 *6 *3)) + (-4 *3 (-677 *4 *5 *6)))) + ((*1 *2 *3) + (-12 (|has| *9 (-6 -4384)) (-4 *4 (-550)) (-4 *5 (-372 *4)) + (-4 *6 (-372 *4)) (-4 *7 (-982 *4)) (-4 *8 (-372 *7)) + (-4 *9 (-372 *7)) (-5 *2 (-635 *6)) + (-5 *1 (-520 *4 *5 *6 *3 *7 *8 *9 *10)) (-4 *3 (-677 *4 *5 *6)) + (-4 *10 (-677 *7 *8 *9)))) + ((*1 *2 *1) + (-12 (-4 *1 (-677 *3 *4 *5)) (-4 *3 (-1039)) (-4 *4 (-372 *3)) + (-4 *5 (-372 *3)) (-4 *3 (-550)) (-5 *2 (-635 *5)))) + ((*1 *2 *3) + (-12 (-4 *4 (-550)) (-4 *4 (-171)) (-4 *5 (-372 *4)) + (-4 *6 (-372 *4)) (-5 *2 (-635 *6)) (-5 *1 (-678 *4 *5 *6 *3)) + (-4 *3 (-677 *4 *5 *6)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1042 *3 *4 *5 *6 *7)) (-4 *5 (-1039)) + (-4 *6 (-237 *4 *5)) (-4 *7 (-237 *3 *5)) (-4 *5 (-550)) + (-5 *2 (-635 *7))))) +(((*1 *2 *3) (-12 (-5 *3 (-1145)) (-5 *2 (-1251)) (-5 *1 (-853))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) (-4 *2 (-13 (-429 *3) (-992))))) @@ -2458,32 +2586,26 @@ (-12 (-5 *2 (-1143 *3)) (-4 *3 (-38 (-406 (-558)))) (-5 *1 (-1149 *3)))) ((*1 *1 *1) (-4 *1 (-1188)))) -(((*1 *2 *3 *4) - (-12 (-5 *4 (-635 (-855 *5))) (-14 *5 (-635 (-1163))) (-4 *6 (-450)) - (-5 *2 - (-2 (|:| |dpolys| (-635 (-246 *5 *6))) - (|:| |coords| (-635 (-558))))) - (-5 *1 (-469 *5 *6 *7)) (-5 *3 (-635 (-246 *5 *6))) (-4 *7 (-450))))) (((*1 *2 *2) - (-12 (-5 *2 (-933 *3)) (-4 *3 (-13 (-362) (-1185) (-992))) - (-5 *1 (-175 *3))))) -(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-433))))) -(((*1 *2 *1) (-12 (-5 *2 (-182)) (-5 *1 (-247))))) -(((*1 *1 *1) - (-12 (-4 *1 (-1263 *2 *3)) (-4 *2 (-841)) (-4 *3 (-1039)))) - ((*1 *1 *1) - (-12 (-5 *1 (-1269 *2 *3)) (-4 *2 (-1039)) (-4 *3 (-837))))) + (-12 (-4 *3 (-13 (-841) (-450))) (-5 *1 (-1191 *3 *2)) + (-4 *2 (-13 (-429 *3) (-1185)))))) (((*1 *2 *3) - (-12 (-5 *3 (-1159 *4)) (-4 *4 (-348)) - (-5 *2 (-1246 (-635 (-2 (|:| -2269 *4) (|:| -2197 (-1107)))))) - (-5 *1 (-345 *4))))) -(((*1 *1 *1 *1) (-4 *1 (-142))) - ((*1 *2 *2 *2) - (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-157 *3 *2)) - (-4 *2 (-429 *3)))) - ((*1 *2 *2 *2) (-12 (-5 *1 (-158 *2)) (-4 *2 (-543))))) -(((*1 *1 *2) (-12 (-5 *2 (-1145)) (-5 *1 (-852)))) - ((*1 *1 *2) (-12 (-5 *2 (-387)) (-5 *1 (-852))))) + (-12 (-5 *3 (-635 (-558))) (-5 *2 (-894 (-558))) (-5 *1 (-907)))) + ((*1 *2) (-12 (-5 *2 (-894 (-558))) (-5 *1 (-907))))) +(((*1 *1 *1 *2) + (-12 (-5 *2 (-762)) (-4 *1 (-1263 *3 *4)) (-4 *3 (-841)) + (-4 *4 (-1039)) (-4 *4 (-171)))) + ((*1 *1 *1 *1) + (-12 (-4 *1 (-1263 *2 *3)) (-4 *2 (-841)) (-4 *3 (-1039)) + (-4 *3 (-171))))) +(((*1 *2 *3 *3) + (-12 (-5 *3 (-1246 *5)) (-4 *5 (-783)) (-5 *2 (-112)) + (-5 *1 (-836 *4 *5)) (-14 *4 (-762))))) +(((*1 *2 *1) (-12 (-5 *1 (-1195 *2)) (-4 *2 (-964))))) +(((*1 *2 *3) + (-12 (-5 *3 (-635 (-558))) (-5 *2 (-894 (-558))) (-5 *1 (-907)))) + ((*1 *2 *3) (-12 (-5 *3 (-961)) (-5 *2 (-894 (-558))) (-5 *1 (-907))))) +(((*1 *2 *1) (-12 (-5 *2 (-635 (-182))) (-5 *1 (-139))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) (-4 *2 (-13 (-429 *3) (-992))))) @@ -2504,12 +2626,22 @@ (-12 (-5 *2 (-1143 *3)) (-4 *3 (-38 (-406 (-558)))) (-5 *1 (-1149 *3)))) ((*1 *1 *1) (-4 *1 (-1188)))) -(((*1 *2 *3 *3 *2) - (-12 (-5 *2 (-1143 *4)) (-5 *3 (-558)) (-4 *4 (-1039)) - (-5 *1 (-1147 *4)))) - ((*1 *1 *2 *2 *1) - (-12 (-5 *2 (-558)) (-5 *1 (-1238 *3 *4 *5)) (-4 *3 (-1039)) - (-14 *4 (-1163)) (-14 *5 *3)))) +(((*1 *2 *3 *4) + (|partial| -12 (-5 *3 (-1 (-3 *5 "failed") *8)) + (-5 *4 (-679 (-1159 *8))) (-4 *5 (-1039)) (-4 *8 (-1039)) + (-4 *6 (-1222 *5)) (-5 *2 (-679 *6)) (-5 *1 (-499 *5 *6 *7 *8)) + (-4 *7 (-1222 *6))))) +(((*1 *1 *2) + (-12 (-5 *2 (-1 (-1143 *3))) (-5 *1 (-1143 *3)) (-4 *3 (-1200))))) +(((*1 *2 *3 *4 *5 *6 *2 *7 *8) + (|partial| -12 (-5 *2 (-635 (-1159 *11))) (-5 *3 (-1159 *11)) + (-5 *4 (-635 *10)) (-5 *5 (-635 *8)) (-5 *6 (-635 (-762))) + (-5 *7 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(-4 *3 (-13 (-450) (-841) (-1028 (-558)) (-631 (-558)))) (-5 *1 (-1189 *3 *2)) (-4 *2 (-13 (-27) (-1185) (-429 *3)))))) -(((*1 *1 *1) (-4 *1 (-1048)))) -(((*1 *1 *2) - (-12 (-5 *2 (-635 *6)) (-4 *6 (-939 *3 *4 *5)) (-4 *3 (-362)) - (-4 *4 (-784)) (-4 *5 (-841)) (-5 *1 (-502 *3 *4 *5 *6))))) -(((*1 *2 *1 *3 *4) - (-12 (-5 *3 (-911)) (-5 *4 (-1145)) (-5 *2 (-1251)) (-5 *1 (-1247))))) -(((*1 *2 *3) - (-12 (-5 *3 (-679 (-406 (-942 (-558))))) - (-5 *2 (-635 (-679 (-315 (-558))))) (-5 *1 (-1021))))) +(((*1 *2 *3 *3 *4 *3) + (-12 (-5 *3 (-558)) (-5 *4 (-679 (-224))) (-5 *2 (-1025)) + (-5 *1 (-746))))) +(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *5 *4 *6 *7) + (-12 (-5 *3 (-224)) (-5 *4 (-558)) (-5 *5 (-1145)) + (-5 *6 (-3 (|:| |fn| (-387)) (|:| |fp| (-82 PDEF)))) + (-5 *7 (-3 (|:| |fn| (-387)) (|:| |fp| (-83 BNDY)))) (-5 *2 (-1025)) + (-5 *1 (-741))))) +(((*1 *2 *1) + (-12 (-4 *1 (-1193 *3 *4 *5 *6)) (-4 *3 (-550)) (-4 *4 (-784)) + (-4 *5 (-841)) (-4 *6 (-1053 *3 *4 *5)) (-5 *2 (-112)))) + ((*1 *2 *3 *1) + (-12 (-4 *1 (-1193 *4 *5 *6 *3)) (-4 *4 (-550)) (-4 *5 (-784)) + (-4 *6 (-841)) (-4 *3 (-1053 *4 *5 *6)) (-5 *2 (-112))))) +(((*1 *2) + (-12 (-5 *2 (-1251)) (-5 *1 (-1177 *3 *4)) (-4 *3 (-1087)) + (-4 *4 (-1087))))) (((*1 *1 *2) (-12 (-5 *2 (-1246 *3)) (-4 *3 (-362)) (-14 *6 (-1246 (-679 *3))) (-5 *1 (-44 *3 *4 *5 *6)) (-14 *4 (-911)) (-14 *5 (-635 (-1163))))) @@ -9675,25 +9774,25 @@ (-3 (|:| |nia| (-2 (|:| |var| (-1163)) (|:| |fn| (-315 (-224))) - (|:| -1540 (-1081 (-834 (-224)))) (|:| |abserr| (-224)) + (|:| -3986 (-1081 (-834 (-224)))) (|:| |abserr| (-224)) (|:| |relerr| (-224)))) (|:| |mdnia| (-2 (|:| |fn| (-315 (-224))) - (|:| -1540 (-635 (-1081 (-834 (-224))))) + (|:| -3986 (-635 (-1081 (-834 (-224))))) (|:| |abserr| (-224)) (|:| |relerr| (-224)))))) (-5 *1 (-760)))) ((*1 *1 *2) (-12 (-5 *2 (-2 (|:| |fn| (-315 (-224))) - (|:| -1540 (-635 (-1081 (-834 (-224))))) (|:| |abserr| (-224)) + (|:| -3986 (-635 (-1081 (-834 (-224))))) (|:| |abserr| (-224)) (|:| |relerr| (-224)))) (-5 *1 (-760)))) ((*1 *1 *2) (-12 (-5 *2 (-2 (|:| |var| (-1163)) (|:| |fn| (-315 (-224))) - (|:| -1540 (-1081 (-834 (-224)))) (|:| |abserr| (-224)) + (|:| -3986 (-1081 (-834 (-224)))) (|:| |abserr| (-224)) (|:| |relerr| (-224)))) (-5 *1 (-760)))) ((*1 *2 *3) (-12 (-5 *2 (-765)) (-5 *1 (-764 *3)) (-4 *3 (-1200)))) @@ -9830,33 +9929,21 @@ ((*1 *1 *2) (-12 (-5 *2 (-654 *3 *4)) (-4 *3 (-841)) (-4 *4 (-171)) (-5 *1 (-1266 *3 *4))))) -(((*1 *2 *3) (-12 (-5 *3 (-832)) (-5 *2 (-1025)) (-5 *1 (-831)))) - ((*1 *2 *3 *4) - (-12 (-5 *3 (-635 (-315 (-378)))) (-5 *4 (-635 (-378))) - (-5 *2 (-1025)) (-5 *1 (-831))))) +(((*1 *2) (-12 (-5 *2 (-558)) (-5 *1 (-916))))) (((*1 *2 *3) - (-12 (-4 *4 (-550)) (-5 *2 (-1246 (-679 *4))) (-5 *1 (-90 *4 *5)) - (-5 *3 (-679 *4)) (-4 *5 (-646 *4))))) -(((*1 *2) - (-12 (-5 *2 (-2 (|:| -3823 (-635 *3)) (|:| -3208 (-635 *3)))) - (-5 *1 (-1201 *3)) (-4 *3 (-1087))))) -(((*1 *2 *3 *4 *5) - (-12 (-5 *4 (-112)) - (-4 *6 (-13 (-450) (-841) (-1028 (-558)) (-631 (-558)))) - (-4 *3 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(((*1 *2 *1) (-12 (-4 *1 (-165 *2)) (-4 *2 (-171)))) ((*1 *2 *3) (-12 (-4 *4 (-13 (-550) (-841) (-1028 (-558)))) (-5 *2 (-315 *4)) @@ -9866,49 +9953,40 @@ ((*1 *2 *2) (-12 (-4 *3 (-13 (-450) (-841) (-1028 (-558)) (-631 (-558)))) (-5 *1 (-1189 *3 *2)) (-4 *2 (-13 (-27) (-1185) (-429 *3)))))) -(((*1 *2 *1 *3) - (|partial| -12 (-5 *3 (-882 *4)) (-4 *4 (-1087)) (-5 *2 (-112)) - (-5 *1 (-879 *4 *5)) (-4 *5 (-1087)))) - ((*1 *2 *3 *4) - (-12 (-5 *4 (-882 *5)) (-4 *5 (-1087)) (-5 *2 (-112)) - (-5 *1 (-880 *5 *3)) (-4 *3 (-1200)))) - ((*1 *2 *3 *4) - (-12 (-5 *3 (-635 *6)) (-5 *4 (-882 *5)) (-4 *5 (-1087)) - (-4 *6 (-1200)) (-5 *2 (-112)) (-5 *1 (-880 *5 *6))))) -(((*1 *2 *1) (-12 (-4 *1 (-184)) (-5 *2 (-635 (-112)))))) -(((*1 *2 *1) - (-12 (-5 *2 (-1089 (-1089 *3))) (-5 *1 (-894 *3)) (-4 *3 (-1087))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-1159 *1)) (-5 *4 (-1163)) (-4 *1 (-27)) - (-5 *2 (-635 *1)))) - ((*1 *2 *3) (-12 (-5 *3 (-1159 *1)) (-4 *1 (-27)) (-5 *2 (-635 *1)))) - ((*1 *2 *3) (-12 (-5 *3 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(-623 *4 *5))))) -(((*1 *2 *3 *3) - (|partial| -12 (-4 *4 (-550)) - (-5 *2 (-2 (|:| -3570 *3) (|:| -1695 *3))) (-5 *1 (-1217 *4 *3)) - (-4 *3 (-1222 *4))))) + (-12 (-5 *2 (-558)) (-5 *1 (-443 *3)) (-4 *3 (-403)) (-4 *3 (-1039))))) +(((*1 *2 *1) (-12 (-4 *1 (-348)) (-5 *2 (-112)))) + ((*1 *2 *3) + (-12 (-5 *3 (-1159 *4)) (-4 *4 (-348)) (-5 *2 (-112)) + (-5 *1 (-356 *4))))) (((*1 *1 *1) (-12 (-5 *1 (-338 *2 *3 *4)) (-14 *2 (-635 (-1163))) (-14 *3 (-635 (-1163))) (-4 *4 (-386)))) @@ -9918,20 +9996,27 @@ ((*1 *1 *2) (-12 (-5 *2 (-406 (-558))) (-4 *1 (-1002)))) ((*1 *1 *1 *2) (-12 (-4 *1 (-1002)) (-5 *2 (-911)))) ((*1 *1 *1) (-4 *1 (-1002)))) -(((*1 *1 *1) (-12 (-4 *1 (-165 *2)) (-4 *2 (-171)))) - ((*1 *1 *1 *1) (-4 *1 (-471))) - ((*1 *1 *1) (-12 (-4 *1 (-788 *2)) (-4 *2 (-171)))) - ((*1 *2 *2) (-12 (-5 *2 (-635 (-558))) (-5 *1 (-873)))) - ((*1 *1 *1) (-5 *1 (-961))) - ((*1 *1 *1) (-12 (-4 *1 (-987 *2)) (-4 *2 (-171))))) -(((*1 *1 *2 *3) - (-12 (-5 *1 (-639 *2 *3 *4)) (-4 *2 (-1087)) (-4 *3 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*4 (-1 (-417 *6) *6)) (-4 *6 (-1222 *5)) + (-4 *5 (-13 (-146) (-27) (-1028 (-558)) (-1028 (-406 (-558))))) + (-5 *2 (-1159 (-406 *6))) (-5 *1 (-607 *5 *6)) (-5 *3 (-406 *6))))) (((*1 *1 *2) (-12 (-5 *2 (-635 (-558))) (-5 *1 (-50 *3 *4)) (-4 *3 (-1039)) (-14 *4 (-635 (-1163))))) @@ -9964,28 +10049,27 @@ ((*1 *1 *1 *2) (-12 (-5 *2 (-762)) (-5 *1 (-1266 *3 *4)) (-4 *4 (-708 (-406 (-558)))) (-4 *3 (-841)) (-4 *4 (-171))))) -(((*1 *2 *2) - (-12 (-4 *2 (-171)) (-4 *2 (-1039)) (-5 *1 (-705 *2 *3)) - (-4 *3 (-638 *2)))) - ((*1 *2 *2) (-12 (-5 *1 (-827 *2)) (-4 *2 (-171)) (-4 *2 (-1039))))) -(((*1 *2 *3 *3) - (-12 (-5 *3 (-2 (|:| |val| (-635 *7)) (|:| -2406 *8))) - (-4 *7 (-1053 *4 *5 *6)) (-4 *8 (-1059 *4 *5 *6 *7)) (-4 *4 (-450)) - (-4 *5 (-784)) (-4 *6 (-841)) (-5 *2 (-112)) - (-5 *1 (-978 *4 *5 *6 *7 *8)))) - ((*1 *2 *3 *3) - (-12 (-5 *3 (-2 (|:| |val| (-635 *7)) (|:| -2406 *8))) - (-4 *7 (-1053 *4 *5 *6)) (-4 *8 (-1059 *4 *5 *6 *7)) (-4 *4 (-450)) - (-4 *5 (-784)) (-4 *6 (-841)) (-5 *2 (-112)) - (-5 *1 (-1094 *4 *5 *6 *7 *8))))) -(((*1 *1) (-5 *1 (-112))) ((*1 *1) (-5 *1 (-609)))) +(((*1 *2 *3 *4 *5 *4 *4 *4) + (-12 (-4 *6 (-841)) (-5 *3 (-635 *6)) (-5 *5 (-635 *3)) + (-5 *2 + (-2 (|:| |f1| *3) (|:| |f2| (-635 *5)) (|:| |f3| *5) + (|:| |f4| (-635 *5)))) + (-5 *1 (-1171 *6)) (-5 *4 (-635 *5))))) (((*1 *2 *1) - (-12 (-4 *1 (-334 *3 *4 *5 *6)) (-4 *3 (-362)) (-4 *4 (-1222 *3)) - (-4 *5 (-1222 (-406 *4))) (-4 *6 (-341 *3 *4 *5)) (-5 *2 (-112))))) + (|partial| -12 (-5 *2 (-635 (-882 *3))) (-5 *1 (-882 *3)) + (-4 *3 (-1087))))) +(((*1 *1) (-5 *1 (-112))) ((*1 *1) (-5 *1 (-609)))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-882 *3)) (-4 *3 (-1087))))) (((*1 *1 *1) - (|partial| -12 (-5 *1 (-293 *2)) (-4 *2 (-717)) (-4 *2 (-1200))))) -(((*1 *2 *1) - (-12 (-5 *2 (-1143 (-406 *3))) (-5 *1 (-173 *3)) (-4 *3 (-306))))) + (-12 (-5 *1 (-588 *2)) (-4 *2 (-38 (-406 (-558)))) (-4 *2 (-1039))))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *4 (-1 *7 *7)) + (-5 *5 + (-1 (-2 (|:| |ans| *6) (|:| -1404 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+10349,11 @@ ((*1 *2 *1) (-12 (-4 *1 (-821 *2)) (-4 *2 (-841)))) ((*1 *1) (-4 *1 (-835))) ((*1 *1 *1 *1) (-4 *1 (-841)))) (((*1 *2 *3) - (-12 (-4 *4 (-13 (-841) (-550) (-1028 (-558)))) (-5 *2 (-406 (-558))) - (-5 *1 (-432 *4 *3)) (-4 *3 (-429 *4)))) - ((*1 *2 *3 *4) - (-12 (-5 *4 (-604 *3)) (-4 *3 (-429 *5)) - (-4 *5 (-13 (-841) (-550) (-1028 (-558)))) - (-5 *2 (-1159 (-406 (-558)))) (-5 *1 (-432 *5 *3))))) -(((*1 *2 *2) - (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) - (-4 *2 (-13 (-429 *3) (-992)))))) + (|partial| -12 (-5 *3 (-679 (-406 (-942 (-558))))) + (-5 *2 (-679 (-315 (-558)))) (-5 *1 (-1021))))) (((*1 *2 *3) - (-12 (-5 *2 (-1165 (-406 (-558)))) (-5 *1 (-189)) (-5 *3 (-558))))) + (-12 (-5 *2 (-604 *4)) (-5 *1 (-603 *3 *4)) (-4 *3 (-841)) + (-4 *4 (-841))))) (((*1 *2 *1 *3) (-12 (-5 *3 (-604 *1)) (-4 *1 (-429 *4)) (-4 *4 (-841)) (-4 *4 (-550)) (-5 *2 (-406 (-1159 *1))))) @@ -10311,12 +10377,12 @@ (-5 *1 (-940 *5 *4 *6 *7 *3)) (-4 *3 (-13 (-362) - (-10 -8 (-15 -2560 ($ *7)) (-15 -2163 (*7 $)) (-15 -2176 (*7 $))))))) + (-10 -8 (-15 -2560 ($ *7)) (-15 -2164 (*7 $)) (-15 -2176 (*7 $))))))) ((*1 *2 *3 *4 *2) (-12 (-5 *2 (-1159 *3)) (-4 *3 (-13 (-362) - (-10 -8 (-15 -2560 ($ *7)) (-15 -2163 (*7 $)) (-15 -2176 (*7 $))))) + (-10 -8 (-15 -2560 ($ *7)) (-15 -2164 (*7 $)) (-15 -2176 (*7 $))))) (-4 *7 (-939 *6 *5 *4)) (-4 *5 (-784)) (-4 *4 (-841)) (-4 *6 (-1039)) (-5 *1 (-940 *5 *4 *6 *7 *3)))) ((*1 *2 *3 *4) @@ -10335,8 +10401,8 @@ (-12 (-14 *2 (-635 (-1163))) (-4 *3 (-171)) (-4 *5 (-237 (-1450 *2) (-762))) (-14 *6 - (-1 (-112) (-2 (|:| -2197 *4) (|:| -1473 *5)) - (-2 (|:| -2197 *4) (|:| -1473 *5)))) + (-1 (-112) (-2 (|:| -2197 *4) (|:| -1555 *5)) + (-2 (|:| -2197 *4) (|:| -1555 *5)))) (-5 *1 (-459 *2 *3 *4 *5 *6 *7)) (-4 *4 (-841)) (-4 *7 (-939 *3 *5 (-855 *2))))) ((*1 *1 *1) (-12 (-4 *1 (-507 *2 *3)) (-4 *2 (-1087)) (-4 *3 (-841)))) @@ -10352,162 +10418,102 @@ (-4 *2 (-841)))) ((*1 *1 *1) (-12 (-5 *1 (-1269 *2 *3)) (-4 *2 (-1039)) (-4 *3 (-837))))) -(((*1 *1 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(|:| |lfn| (-635 (-315 (-224)))) + (|:| -3636 (-635 (-224))))))) + (-5 *2 (-635 (-1145))) (-5 *1 (-266))))) +(((*1 *1 *1 *1) (-12 (-5 *1 (-385 *2)) (-4 *2 (-1087)))) + ((*1 *1 *1 *1) (-12 (-5 *1 (-810 *2)) (-4 *2 (-841))))) +(((*1 *1 *1) + (-12 (-5 *1 (-222 *2 *3)) (-4 *2 (-13 (-1039) (-841))) + (-14 *3 (-635 (-1163)))))) (((*1 *2 *1) (-12 (-4 *3 (-1087)) (-4 *4 (-13 (-1039) (-876 *3) (-841) (-606 (-882 *3)))) @@ -10524,8 +10530,8 @@ ((*1 *2 *1) (-12 (-14 *3 (-635 (-1163))) (-4 *5 (-237 (-1450 *3) (-762))) (-14 *6 - (-1 (-112) (-2 (|:| -2197 *4) (|:| -1473 *5)) - (-2 (|:| -2197 *4) (|:| -1473 *5)))) + (-1 (-112) (-2 (|:| -2197 *4) (|:| -1555 *5)) + (-2 (|:| -2197 *4) (|:| -1555 *5)))) (-4 *2 (-171)) (-5 *1 (-459 *3 *2 *4 *5 *6 *7)) (-4 *4 (-841)) (-4 *7 (-939 *2 *5 (-855 *3))))) ((*1 *2 *1) (-12 (-4 *1 (-507 *2 *3)) (-4 *3 (-841)) (-4 *2 (-1087)))) @@ -10542,36 +10548,33 @@ ((*1 *1 *1 *2) (-12 (-4 *1 (-1053 *3 *4 *2)) (-4 *3 (-1039)) (-4 *4 (-784)) (-4 *2 (-841))))) -(((*1 *2 *3 *4 *5 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(-4 *7 (-1200))))) +(((*1 *2 *1) + (-12 (-4 *1 (-966 *3 *4 *5 *6)) (-4 *3 (-1039)) (-4 *4 (-784)) + (-4 *5 (-841)) (-4 *6 (-1053 *3 *4 *5)) (-4 *3 (-550)) + (-5 *2 (-112))))) +(((*1 *2 *1) + (-12 (|has| *1 (-6 -4383)) (-4 *1 (-487 *3)) (-4 *3 (-1200)) + (-5 *2 (-635 *3)))) + ((*1 *2 *1) (-12 (-5 *2 (-635 *3)) (-5 *1 (-728 *3)) (-4 *3 (-1087))))) +(((*1 *2) (-12 (-5 *2 (-1251)) (-5 *1 (-1249))))) +(((*1 *2 *1 *3) (-12 (-5 *3 (-1145)) (-5 *2 (-1251)) (-5 *1 (-1248))))) +(((*1 *2 *1) (|partial| -12 (-5 *2 (-762)) (-5 *1 (-114)))) + ((*1 *2 *1) (-12 (-4 *1 (-826 *3)) (-4 *3 (-1087)) (-5 *2 (-55))))) (((*1 *2 *3) (-12 (-5 *2 (-168 (-378))) (-5 *1 (-776 *3)) (-4 *3 (-606 (-378))))) ((*1 *2 *3 *4) @@ -10627,8 +10630,8 @@ (-12 (-14 *3 (-635 (-1163))) (-4 *4 (-171)) (-4 *6 (-237 (-1450 *3) (-762))) (-14 *7 - (-1 (-112) (-2 (|:| -2197 *5) (|:| -1473 *6)) - (-2 (|:| -2197 *5) (|:| -1473 *6)))) + (-1 (-112) (-2 (|:| -2197 *5) (|:| -1555 *6)) + (-2 (|:| -2197 *5) (|:| -1555 *6)))) (-5 *2 (-704 *5 *6 *7)) (-5 *1 (-459 *3 *4 *5 *6 *7 *8)) (-4 *5 (-841)) (-4 *8 (-939 *4 *6 (-855 *3))))) ((*1 *2 *1) @@ -10637,37 +10640,31 @@ ((*1 *1 *1) (-12 (-4 *1 (-963 *2 *3 *4)) (-4 *2 (-1039)) (-4 *3 (-783)) (-4 *4 (-841))))) -(((*1 *2 *2 *3 *3 *4) - (-12 (-5 *4 (-762)) (-4 *3 (-550)) (-5 *1 (-959 *3 *2)) - (-4 *2 (-1222 *3))))) -(((*1 *2 *1) - (-12 (-4 *1 (-1121 *3)) (-4 *3 (-1039)) (-5 *2 (-635 (-635 (-170))))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-406 *2)) (-5 *4 (-1 *2 *2)) (-4 *2 (-1222 *5)) - (-5 *1 (-718 *5 *2)) (-4 *5 (-362))))) -(((*1 *2 *3 *4) - (-12 (-4 *5 (-1087)) (-4 *3 (-890 *5)) (-5 *2 (-1246 *3)) - (-5 *1 (-682 *5 *3 *6 *4)) (-4 *6 (-372 *3)) - (-4 *4 (-13 (-372 *5) (-10 -7 (-6 -4383))))))) +(((*1 *2 *1 *1) + (-12 (-4 *3 (-550)) (-4 *3 (-1039)) + (-5 *2 (-2 (|:| -4254 *1) (|:| -2971 *1))) (-4 *1 (-843 *3)))) + ((*1 *2 *3 *3 *4) + (-12 (-5 *4 (-99 *5)) (-4 *5 (-550)) (-4 *5 (-1039)) + (-5 *2 (-2 (|:| -4254 *3) (|:| -2971 *3))) (-5 *1 (-844 *5 *3)) + (-4 *3 (-843 *5))))) +(((*1 *2 *3 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*3)) (-4 *3 (-841)) (-5 *1 (-567 *3 *4)))) @@ -12162,8 +11969,17 @@ ((*1 *1 *2 *1) (-12 (-4 *1 (-1085 *2)) (-4 *2 (-1087)))) ((*1 *1 *1 *2) (-12 (-4 *1 (-1085 *2)) (-4 *2 (-1087)))) ((*1 *1 *1 *1) (-12 (-4 *1 (-1085 *2)) (-4 *2 (-1087))))) -(((*1 *2 *1) (-12 (-5 *2 (-1251)) (-5 *1 (-812))))) -(((*1 *1 *1) (-12 (-5 *1 (-588 *2)) (-4 *2 (-1039))))) +(((*1 *2 *3 *4) + (-12 (-5 *4 (-1163)) + (-4 *5 (-13 (-306) (-841) (-146) (-1028 (-558)) (-631 (-558)))) + (-5 *2 (-579 *3)) (-5 *1 (-425 *5 *3)) + (-4 *3 (-13 (-1185) (-29 *5))))) + ((*1 *2 *3 *4) + (-12 (-5 *4 (-1163)) (-4 *5 (-13 (-550) (-1028 (-558)) (-146))) + (-5 *2 (-579 (-406 (-942 *5)))) (-5 *1 (-564 *5)) + (-5 *3 (-406 (-942 *5)))))) +(((*1 *2 *2) (|partial| -12 (-4 *1 (-973 *2)) (-4 *2 (-1185))))) +(((*1 *2) (-12 (-5 *2 (-558)) (-5 *1 (-917))))) (((*1 *2 *1 *3 *3 *2) (-12 (-5 *3 (-558)) (-4 *1 (-57 *2 *4 *5)) (-4 *2 (-1200)) (-4 *4 (-372 *2)) (-4 *5 (-372 *2)))) @@ -12196,13 +12012,13 @@ (-4 *4 (-13 (-841) (-10 -8 (-15 -2215 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(-1246 (-315 (-224)))) (|:| |yinit| (-635 (-224))) + (|:| |intvals| (-635 (-224))) (|:| |g| (-315 (-224))) + (|:| |abserr| (-224)) (|:| |relerr| (-224)))) + (-5 *2 (-378)) (-5 *1 (-204))))) +(((*1 *2 *3) + (-12 (-5 *2 (-1143 (-635 (-558)))) (-5 *1 (-873)) (-5 *3 (-558))))) +(((*1 *1 *2) (-12 (-5 *2 (-1145)) (-5 *1 (-489))))) +(((*1 *2 *2) + (-12 (-5 *2 (-1246 *4)) (-4 *4 (-416 *3)) (-4 *3 (-306)) + (-4 *3 (-550)) (-5 *1 (-43 *3 *4)))) + ((*1 *2 *3) + (-12 (-5 *3 (-911)) (-4 *4 (-362)) (-5 *2 (-1246 *1)) + (-4 *1 (-328 *4)))) + ((*1 *2) (-12 (-4 *3 (-362)) (-5 *2 (-1246 *1)) (-4 *1 (-328 *3)))) + ((*1 *2) + (-12 (-4 *3 (-171)) (-4 *4 (-1222 *3)) (-5 *2 (-1246 *1)) + (-4 *1 (-408 *3 *4)))) + ((*1 *2 *1) + (-12 (-4 *3 (-306)) (-4 *4 (-982 *3)) (-4 *5 (-1222 *4)) + (-5 *2 (-1246 *6)) (-5 *1 (-412 *3 *4 *5 *6)) + (-4 *6 (-13 (-408 *4 *5) (-1028 *4))))) + ((*1 *2 *1) + (-12 (-4 *3 (-306)) (-4 *4 (-982 *3)) (-4 *5 (-1222 *4)) + (-5 *2 (-1246 *6)) (-5 *1 (-413 *3 *4 *5 *6 *7)) + (-4 *6 (-408 *4 *5)) (-14 *7 *2))) + ((*1 *2) (-12 (-4 *3 (-171)) (-5 *2 (-1246 *1)) (-4 *1 (-416 *3)))) + ((*1 *2 *3) + (-12 (-5 *3 (-911)) (-5 *2 (-1246 (-1246 *4))) (-5 *1 (-526 *4)) + (-4 *4 (-348))))) (((*1 *1 *1 *1) (-4 *1 (-21))) ((*1 *1 *1) (-4 *1 (-21))) ((*1 *1 *1 *1) (|partial| -5 *1 (-133))) ((*1 *1 *1 *1) @@ -15114,7 +14967,7 @@ (-4 *2 (-13 (-841) (-10 -8 (-15 -2215 ((-1145) $ (-1163))) (-15 -1452 ((-1251) $)) - (-15 -3394 ((-1251) $))))))) + (-15 -3098 ((-1251) $))))))) ((*1 *1 *1 *2) (-12 (-5 *1 (-293 *2)) (-4 *2 (-21)) (-4 *2 (-1200)))) ((*1 *1 *2 *1) (-12 (-5 *1 (-293 *2)) (-4 *2 (-21)) (-4 *2 (-1200)))) ((*1 *1 *1 *1) @@ -15134,47 +14987,57 @@ ((*1 *2 *2 *2) (-12 (-5 *2 (-933 (-224))) (-5 *1 (-1196)))) ((*1 *1 *1 *1) (-12 (-4 *1 (-1244 *2)) (-4 *2 (-1200)) (-4 *2 (-21)))) ((*1 *1 *1) (-12 (-4 *1 (-1244 *2)) (-4 *2 (-1200)) (-4 *2 (-21))))) -(((*1 *1) (-5 *1 (-143))) ((*1 *1 *1) (-5 *1 (-853)))) -(((*1 *2 *1 *3) (-12 (-4 *1 (-851)) (-5 *3 (-129)) (-5 *2 (-1107))))) -(((*1 *1 *1) (-12 (-4 *1 (-253 *2)) (-4 *2 (-1200)))) - ((*1 *1 *1) - (-12 (|has| *1 (-6 -4384)) (-4 *1 (-372 *2)) (-4 *2 (-1200)))) - ((*1 *1 *1) - (-12 (-5 *1 (-639 *2 *3 *4)) (-4 *2 (-1087)) (-4 *3 (-23)) - (-14 *4 *3)))) +(((*1 *2 *3 *4 *3 *5 *5 *5 *5 *5) + (|partial| -12 (-5 *5 (-112)) (-4 *6 (-450)) (-4 *7 (-784)) + (-4 *8 (-841)) (-4 *9 (-1053 *6 *7 *8)) + (-5 *2 + (-2 (|:| -2442 (-635 *9)) (|:| -2406 *4) (|:| |ineq| (-635 *9)))) + (-5 *1 (-978 *6 *7 *8 *9 *4)) (-5 *3 (-635 *9)) + (-4 *4 (-1059 *6 *7 *8 *9)))) + ((*1 *2 *3 *4 *3 *5 *5 *5 *5 *5) + (|partial| -12 (-5 *5 (-112)) (-4 *6 (-450)) (-4 *7 (-784)) + (-4 *8 (-841)) (-4 *9 (-1053 *6 *7 *8)) + (-5 *2 + (-2 (|:| -2442 (-635 *9)) (|:| -2406 *4) (|:| |ineq| (-635 *9)))) + (-5 *1 (-1094 *6 *7 *8 *9 *4)) (-5 *3 (-635 *9)) + (-4 *4 (-1059 *6 *7 *8 *9))))) +(((*1 *2 *1) + (-12 (-5 *2 (-635 (-1186 *3))) (-5 *1 (-1186 *3)) (-4 *3 (-1087))))) (((*1 *2 *3) - (-12 - (-5 *3 - (-2 (|:| |xinit| (-224)) (|:| |xend| (-224)) - (|:| |fn| (-1246 (-315 (-224)))) (|:| |yinit| (-635 (-224))) - (|:| |intvals| (-635 (-224))) (|:| |g| (-315 (-224))) - (|:| |abserr| (-224)) (|:| |relerr| (-224)))) - (-5 *2 (-378)) (-5 *1 (-204))))) -(((*1 *2 *3 *3 *4 *4 *4 *4 *3) - (-12 (-5 *3 (-558)) (-5 *4 (-679 (-224))) (-5 *2 (-1025)) - (-5 *1 (-743))))) -(((*1 *2 *1) (-12 (-5 *2 (-853)) (-5 *1 (-52))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-812)) (-5 *4 (-52)) (-5 *2 (-1251)) (-5 *1 (-822))))) -(((*1 *2 *2 *3) - (-12 (-4 *4 (-450)) (-4 *5 (-784)) (-4 *6 (-841)) - (-4 *2 (-1053 *4 *5 *6)) (-5 *1 (-767 *4 *5 *6 *2 *3)) - (-4 *3 (-1059 *4 *5 *6 *2))))) -(((*1 *1 *2 *3 *4) - (-12 - (-5 *3 - (-635 - (-2 (|:| |scalar| (-406 (-558))) (|:| |coeff| (-1159 *2)) - (|:| |logand| (-1159 *2))))) - (-5 *4 (-635 (-2 (|:| |integrand| *2) (|:| |intvar| *2)))) - (-4 *2 (-362)) (-5 *1 (-579 *2))))) + (-12 (-5 *3 (-635 *4)) (-4 *4 (-839)) (-4 *4 (-362)) (-5 *2 (-762)) + (-5 *1 (-935 *4 *5)) (-4 *5 (-1222 *4))))) +(((*1 *1 *1 *1) (-5 *1 (-853)))) +(((*1 *2 *2 *1) + (-12 (-5 *2 (-1270 *3 *4)) (-4 *1 (-373 *3 *4)) (-4 *3 (-841)) + (-4 *4 (-171)))) + ((*1 *1 *1 *1) (|partial| -12 (-5 *1 (-385 *2)) (-4 *2 (-1087)))) + ((*1 *1 *1 *2) (|partial| -12 (-5 *1 (-810 *2)) (-4 *2 (-841)))) + ((*1 *1 *1 *1) (|partial| -12 (-5 *1 (-810 *2)) (-4 *2 (-841)))) + ((*1 *1 *1 *1) + (-12 (-4 *1 (-1263 *2 *3)) (-4 *2 (-841)) (-4 *3 (-1039)))) + ((*1 *1 *1 *2) + (-12 (-5 *2 (-810 *3)) (-4 *1 (-1263 *3 *4)) (-4 *3 (-841)) + (-4 *4 (-1039)))) + ((*1 *1 *1 *2) + (-12 (-4 *1 (-1263 *2 *3)) (-4 *2 (-841)) (-4 *3 (-1039))))) +(((*1 *2 *1) (-12 (-4 *1 (-253 *2)) (-4 *2 (-1200))))) +(((*1 *2 *1) + (-12 (-4 *1 (-596 *2 *3)) (-4 *3 (-1200)) (-4 *2 (-1087)) + (-4 *2 (-841))))) +(((*1 *2 *1) (-12 (-4 *1 (-424 *3)) (-4 *3 (-1087)) (-5 *2 (-762))))) +(((*1 *2 *1) + (-12 (-4 *3 (-362)) (-4 *4 (-784)) (-4 *5 (-841)) (-5 *2 (-112)) + (-5 *1 (-502 *3 *4 *5 *6)) (-4 *6 (-939 *3 *4 *5)))) + ((*1 *2 *1 *3) + (-12 (-5 *3 (-635 *6)) (-4 *6 (-841)) (-4 *4 (-362)) (-4 *5 (-784)) + (-5 *2 (-112)) (-5 *1 (-502 *4 *5 *6 *7)) (-4 *7 (-939 *4 *5 *6))))) (((*1 *1 *1 *1) (-4 *1 (-25))) ((*1 *1 *1 *1) (-5 *1 (-156))) ((*1 *1 *1 *1) (-12 (-5 *1 (-213 *2)) (-4 *2 (-13 (-841) (-10 -8 (-15 -2215 ((-1145) $ (-1163))) (-15 -1452 ((-1251) $)) - (-15 -3394 ((-1251) $))))))) + (-15 -3098 ((-1251) $))))))) ((*1 *1 *1 *2) (-12 (-5 *1 (-293 *2)) (-4 *2 (-25)) (-4 *2 (-1200)))) ((*1 *1 *2 *1) (-12 (-5 *1 (-293 *2)) (-4 *2 (-25)) (-4 *2 (-1200)))) ((*1 *1 *2 *1) @@ -15197,31 +15060,28 @@ (-12 (-5 *2 (-1143 *3)) (-4 *3 (-1039)) (-5 *1 (-1147 *3)))) ((*1 *2 *2 *2) (-12 (-5 *2 (-933 (-224))) (-5 *1 (-1196)))) ((*1 *1 *1 *1) (-12 (-4 *1 (-1244 *2)) (-4 *2 (-1200)) (-4 *2 (-25))))) -(((*1 *2 *3 *3) - (-12 (-4 *3 (-1204)) (-4 *5 (-1222 *3)) (-4 *6 (-1222 (-406 *5))) - (-5 *2 (-112)) (-5 *1 (-340 *4 *3 *5 *6)) (-4 *4 (-341 *3 *5 *6)))) - ((*1 *2 *3 *3) - (-12 (-4 *1 (-341 *3 *4 *5)) (-4 *3 (-1204)) (-4 *4 (-1222 *3)) - (-4 *5 (-1222 (-406 *4))) (-5 *2 (-112))))) -(((*1 *2) (-12 (-5 *2 (-1251)) (-5 *1 (-553))))) -(((*1 *2 *1) (-12 (-5 *2 (-1145)) (-5 *1 (-534))))) -(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-1168))))) +(((*1 *2 *2) + (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) + (-4 *2 (-13 (-429 *3) (-992)))))) +(((*1 *2 *1) (-12 (-5 *2 (-635 (-1122))) (-5 *1 (-1077))))) +(((*1 *2) (-12 (-4 *3 (-171)) (-5 *2 (-1246 *1)) (-4 *1 (-366 *3))))) +(((*1 *2 *3 *2) + (-12 (-5 *2 (-635 *1)) (-5 *3 (-635 *7)) (-4 *1 (-1059 *4 *5 *6 *7)) + (-4 *4 (-450)) (-4 *5 (-784)) (-4 *6 (-841)) + (-4 *7 (-1053 *4 *5 *6)))) + ((*1 *2 *3 *1) + (-12 (-5 *3 (-635 *7)) (-4 *7 (-1053 *4 *5 *6)) (-4 *4 (-450)) + (-4 *5 (-784)) (-4 *6 (-841)) (-5 *2 (-635 *1)) + (-4 *1 (-1059 *4 *5 *6 *7)))) + ((*1 *2 *3 *2) + (-12 (-5 *2 (-635 *1)) (-4 *1 (-1059 *4 *5 *6 *3)) (-4 *4 (-450)) + (-4 *5 (-784)) (-4 *6 (-841)) (-4 *3 (-1053 *4 *5 *6)))) + ((*1 *2 *3 *1) + (-12 (-4 *4 (-450)) (-4 *5 (-784)) (-4 *6 (-841)) + (-4 *3 (-1053 *4 *5 *6)) (-5 *2 (-635 *1)) + (-4 *1 (-1059 *4 *5 *6 *3))))) (((*1 *2 *1) (-12 (-5 *2 (-1251)) (-5 *1 (-1247)))) ((*1 *2 *1) (-12 (-5 *2 (-1251)) (-5 *1 (-1248))))) -(((*1 *2 *3 *3) - (-12 (-5 *3 (-635 *7)) (-4 *7 (-1053 *4 *5 *6)) (-4 *4 (-450)) - (-4 *5 (-784)) (-4 *6 (-841)) (-5 *2 (-112)) - (-5 *1 (-978 *4 *5 *6 *7 *8)) (-4 *8 (-1059 *4 *5 *6 *7)))) - ((*1 *2 *1 *1) - (-12 (-4 *1 (-1053 *3 *4 *5)) (-4 *3 (-1039)) (-4 *4 (-784)) - (-4 *5 (-841)) (-5 *2 (-112)))) - ((*1 *2 *3 *3) - (-12 (-5 *3 (-635 *7)) (-4 *7 (-1053 *4 *5 *6)) (-4 *4 (-450)) - (-4 *5 (-784)) (-4 *6 (-841)) (-5 *2 (-112)) - (-5 *1 (-1094 *4 *5 *6 *7 *8)) (-4 *8 (-1059 *4 *5 *6 *7)))) - ((*1 *2 *1 *1) - (-12 (-4 *1 (-1193 *3 *4 *5 *6)) (-4 *3 (-550)) (-4 *4 (-784)) - (-4 *5 (-841)) (-4 *6 (-1053 *3 *4 *5)) (-5 *2 (-112))))) (((*1 *1 *1) (-12 (-4 *1 (-372 *2)) (-4 *2 (-1200)) (-4 *2 (-841)))) ((*1 *1 *2 *1) (-12 (-5 *2 (-1 (-112) *3 *3)) (-4 *1 (-372 *3)) (-4 *3 (-1200)))) @@ -15230,231 +15090,424 @@ ((*1 *2 *1 *3) (-12 (-4 *4 (-1039)) (-4 *5 (-784)) (-4 *3 (-841)) (-4 *6 (-1053 *4 *5 *3)) - (-5 *2 (-2 (|:| |under| 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(-5 *1 (-853))) ((*1 *2 *1 *1) (-12 (-4 *1 (-893 *3)) (-4 *3 (-1087)) (-5 *2 (-112)))) ((*1 *2 *1 *1) (-12 (-5 *2 (-112)) (-5 *1 (-894 *3)) (-4 *3 (-1087))))) -(((*1 *2 *3 *1) - (-12 (-4 *1 (-966 *4 *5 *6 *3)) (-4 *4 (-1039)) (-4 *5 (-784)) - (-4 *6 (-841)) (-4 *3 (-1053 *4 *5 *6)) (-4 *4 (-550)) - (-5 *2 (-2 (|:| |rnum| *4) (|:| |polnum| *3) (|:| |den| *4)))))) +(((*1 *2 *2 *3 *3) + (-12 (-5 *3 (-558)) (-4 *4 (-171)) (-4 *5 (-372 *4)) + (-4 *6 (-372 *4)) (-5 *1 (-678 *4 *5 *6 *2)) + (-4 *2 (-677 *4 *5 *6))))) (((*1 *1 *1) (-12 (-5 *1 (-667 *2)) (-4 *2 (-841)))) ((*1 *1 *1) (-12 (-5 *1 (-810 *2)) (-4 *2 (-841)))) ((*1 *1 *1) (-12 (-5 *1 (-883 *2)) (-4 *2 (-841)))) @@ -15464,81 +15517,31 @@ ((*1 *1 *1 *2) (-12 (-5 *2 (-762)) (-4 *1 (-1234 *3)) (-4 *3 (-1200)))) ((*1 *1 *1) (-12 (-4 *1 (-1234 *2)) (-4 *2 (-1200))))) -(((*1 *2 *2 *2) - (-12 (-5 *2 (-679 *3)) (-4 *3 (-1039)) (-5 *1 (-680 *3)))) - ((*1 *2 *2 *2 *2) - (-12 (-5 *2 (-679 *3)) (-4 *3 (-1039)) (-5 *1 (-680 *3))))) -(((*1 *2 *2 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(-1238 *2 *3 *4)) (-4 *2 (-1039)) (-14 *3 (-1163)) - (-14 *4 *2)))) + (-12 (-5 *2 (-635 (-1186 *3))) (-5 *1 (-1186 *3)) (-4 *3 (-1087))))) (((*1 *1 *1 *2) (-12 (-5 *2 (-911)) (-4 *1 (-328 *3)) (-4 *3 (-362)) (-4 *3 (-367)))) ((*1 *2 *1) (-12 (-4 *1 (-328 *2)) (-4 *2 (-362)))) @@ -15550,30 +15553,20 @@ ((*1 *2 *1) (-12 (-4 *1 (-1110 *3 *2 *4 *5)) (-4 *4 (-237 *3 *2)) (-4 *5 (-237 *3 *2)) (-4 *2 (-1039))))) -(((*1 *2 *3) - (-12 (-5 *3 (-1081 (-834 (-224)))) (-5 *2 (-224)) (-5 *1 (-191)))) - ((*1 *2 *3) - (-12 (-5 *3 (-1081 (-834 (-224)))) (-5 *2 (-224)) (-5 *1 (-299)))) +(((*1 *1) (-5 *1 (-143))) ((*1 *2 *3) - (-12 (-5 *3 (-1081 (-834 (-224)))) (-5 *2 (-224)) (-5 *1 (-304))))) + (-12 (-5 *3 (-635 (-262))) (-5 *2 (-1120 (-224))) (-5 *1 (-260)))) + ((*1 *1 *2) (-12 (-5 *2 (-1120 (-224))) (-5 *1 (-262))))) (((*1 *2 *1) (-12 (-4 *1 (-252 *3 *4 *2 *5)) (-4 *3 (-1039)) (-4 *4 (-841)) (-4 *5 (-784)) (-4 *2 (-265 *4))))) -(((*1 *2 *3 *4 *4) - (-12 (-5 *3 (-635 (-942 *5))) (-5 *4 (-112)) - (-4 *5 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+ (-12 (-4 *3 (-550)) (-4 *3 (-1039)) (-4 *4 (-784)) (-4 *5 (-841)) + (-5 *2 (-635 *1)) (-4 *1 (-1053 *3 *4 *5))))) +(((*1 *2 *3) (-12 (-5 *3 (-933 *2)) (-5 *1 (-972 *2)) (-4 *2 (-1039))))) +(((*1 *1) (-5 *1 (-140)))) +(((*1 *2 *3 *3) + (-12 (-5 *3 (-1219 *5 *4)) (-4 *4 (-811)) (-14 *5 (-1163)) + (-5 *2 (-635 *4)) (-5 *1 (-1101 *4 *5))))) +(((*1 *1 *1) + (-12 (-4 *1 (-1053 *2 *3 *4)) (-4 *2 (-1039)) (-4 *3 (-784)) + (-4 *4 (-841)) (-4 *2 (-450))))) (((*1 *2 *3) - (-12 - (-5 *3 - (-635 (-2 (|:| -1393 (-406 (-558))) (|:| -1404 (-406 (-558)))))) - (-5 *2 (-635 (-406 (-558)))) (-5 *1 (-1010 *4)) - (-4 *4 (-1222 (-558)))))) -(((*1 *2 *2) (-12 (-5 *2 (-911)) (-5 *1 (-356 *3)) (-4 *3 (-348))))) + (-12 (-5 *3 (-1129 *4 *2)) (-14 *4 (-911)) + (-4 *2 (-13 (-1039) (-10 -7 (-6 (-4385 "*"))))) + (-5 *1 (-892 *4 *2))))) (((*1 *2 *3) (-12 (-4 *4 (-1039)) (-4 *2 (-13 (-403) (-1028 *4) (-362) (-1185) (-283))) @@ -16675,41 +16490,85 @@ ((*1 *2 *1) (-12 (-4 *1 (-1244 *2)) (-4 *2 (-1200)) (-4 *2 (-992)) 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(-1039)) (-4 *4 (-783)) + (-5 *2 (-112)))) + ((*1 *2 *1) + (-12 (-4 *1 (-381 *3 *4)) (-4 *3 (-1039)) (-4 *4 (-1087)) + (-5 *2 (-112)))) + ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-588 *3)) (-4 *3 (-1039)))) + ((*1 *2 *1) + (-12 (-4 *3 (-550)) (-5 *2 (-112)) (-5 *1 (-615 *3 *4)) + (-4 *4 (-1222 *3)))) + ((*1 *2 *1) + (-12 (-5 *2 (-112)) (-5 *1 (-726 *3 *4)) (-4 *3 (-1039)) + (-4 *4 (-717)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1263 *3 *4)) (-4 *3 (-841)) (-4 *4 (-1039)) + (-5 *2 (-112))))) +(((*1 *2 *1 *3) + (-12 (-5 *3 (-558)) (-5 *2 (-3 "nil" "sqfr" "irred" "prime")) + (-5 *1 (-417 *4)) (-4 *4 (-550))))) +(((*1 *2 *1) (-12 (-4 *1 (-1265 *3)) (-4 *3 (-362)) (-5 *2 (-112))))) +(((*1 *1 *2) + (-12 (-5 *2 (-635 *3)) (-4 *3 (-1200)) (-5 *1 (-1134 *3))))) (((*1 *2 *2) + (-12 (-5 *2 (-933 *3)) (-4 *3 (-13 (-362) (-1185) (-992))) + (-5 *1 (-175 *3))))) +(((*1 *2 *3 *4) + (-12 (-4 *5 (-450)) (-4 *6 (-784)) (-4 *7 (-841)) + (-4 *3 (-1053 *5 *6 *7)) + (-5 *2 (-635 (-2 (|:| |val| (-112)) (|:| -2406 *4)))) + (-5 *1 (-767 *5 *6 *7 *3 *4)) (-4 *4 (-1059 *5 *6 *7 *3))))) +(((*1 *2 *1) (-12 (-5 *2 (-635 - (-2 (|:| |lcmfij| *4) (|:| |totdeg| (-762)) (|:| |poli| *6) - (|:| |polj| *6)))) - (-4 *4 (-784)) (-4 *6 (-939 *3 *4 *5)) (-4 *3 (-450)) (-4 *5 (-841)) - (-5 *1 (-447 *3 *4 *5 *6))))) -(((*1 *1 *2) - (-12 (-5 *2 (-635 *3)) (-4 *3 (-1200)) (-5 *1 (-1134 *3))))) -(((*1 *2 *3 *3 *4 *5) - (-12 (-5 *3 (-635 (-679 *6))) (-5 *4 (-112)) (-5 *5 (-558)) - (-5 *2 (-679 *6)) (-5 *1 (-1019 *6)) (-4 *6 (-362)) (-4 *6 (-1039)))) - ((*1 *2 *3 *3) - (-12 (-5 *3 (-635 (-679 *4))) (-5 *2 (-679 *4)) (-5 *1 (-1019 *4)) - (-4 *4 (-362)) (-4 *4 (-1039)))) - ((*1 *2 *3 *3 *4) - (-12 (-5 *3 (-635 (-679 *5))) (-5 *4 (-558)) (-5 *2 (-679 *5)) - (-5 *1 (-1019 *5)) (-4 *5 (-362)) (-4 *5 (-1039))))) -(((*1 *2 *3) - (-12 (-5 *2 (-635 (-635 (-558)))) (-5 *1 (-961)) - (-5 *3 (-635 (-558)))))) -(((*1 *2) - (-12 (-4 *1 (-348)) - (-5 *2 (-635 (-2 (|:| -2531 (-558)) (|:| -1473 (-558)))))))) + (-2 + (|:| -2055 + (-2 (|:| |var| (-1163)) (|:| |fn| (-315 (-224))) + (|:| -3986 (-1081 (-834 (-224)))) (|:| |abserr| (-224)) + (|:| |relerr| (-224)))) + (|:| -3528 + (-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| (-1143 (-224))) + (|:| |notEvaluated| + "Internal singularities not yet evaluated"))) + (|:| -3986 + (-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 (-553)))) + ((*1 *2 *1) + (-12 (-4 *1 (-596 *3 *4)) (-4 *3 (-1087)) (-4 *4 (-1200)) + (-5 *2 (-635 *4))))) (((*1 *2 *3 *1) (|partial| -12 (-4 *1 (-36 *3 *4)) (-4 *3 (-1087)) (-4 *4 (-1087)) (-5 *2 (-2 (|:| -2055 *3) (|:| -3528 *4)))))) @@ -16747,33 +16606,22 @@ (-12 (-5 *4 (-1079 (-406 (-942 *5)))) (-5 *3 (-406 (-942 *5))) (-4 *5 (-13 (-550) (-841) (-1028 (-558)))) (-5 *2 (-3 *3 (-315 *5))) (-5 *1 (-1156 *5))))) +(((*1 *2 *2) + (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-275 *3 *2)) + (-4 *2 (-13 (-429 *3) (-992)))))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *3 (-762)) (-4 *6 (-362)) (-5 *4 (-1194 *6)) + (-5 *2 (-1 (-1143 *4) (-1143 *4))) (-5 *1 (-1254 *6)) + (-5 *5 (-1143 *4))))) (((*1 *2 *3 *4) - (-12 (-5 *3 (-643 *4)) (-4 *4 (-341 *5 *6 *7)) - (-4 *5 (-13 (-362) (-146) (-1028 (-558)) (-1028 (-406 (-558))))) - (-4 *6 (-1222 *5)) (-4 *7 (-1222 (-406 *6))) - (-5 *2 - (-2 (|:| |particular| (-3 *4 "failed")) (|:| -1498 (-635 *4)))) - (-5 *1 (-797 *5 *6 *7 *4))))) -(((*1 *1 *1 *1) (-4 *1 (-471))) ((*1 *1 *1 *1) (-4 *1 (-752)))) -(((*1 *2 *1) (-12 (-5 *2 (-762)) (-5 *1 (-417 *3)) (-4 *3 (-550)))) - ((*1 *2 *3) - (-12 (-5 *3 (-635 (-2 (|:| -2531 *4) (|:| -2763 (-558))))) - (-4 *4 (-1222 (-558))) (-5 *2 (-762)) (-5 *1 (-440 *4))))) + (-12 (-5 *4 (-635 *5)) (-4 *5 (-1222 *3)) (-4 *3 (-306)) + (-5 *2 (-112)) (-5 *1 (-453 *3 *5))))) (((*1 *2 *1) (-12 (-5 *2 (-1251)) (-5 *1 (-247))))) -(((*1 *2 *1) - (-12 (-5 *2 (-1231 *3 *4 *5)) (-5 *1 (-318 *3 *4 *5)) - (-4 *3 (-13 (-362) (-841))) (-14 *4 (-1163)) (-14 *5 *3))) - ((*1 *2 *1) (-12 (-4 *1 (-403)) (-5 *2 (-558)))) - ((*1 *2 *1) (-12 (-5 *2 (-558)) (-5 *1 (-417 *3)) (-4 *3 (-550)))) - ((*1 *2 *1) (-12 (-5 *2 (-558)) (-5 *1 (-689)))) - ((*1 *2 *1) - (-12 (-4 *2 (-1087)) (-5 *1 (-704 *3 *2 *4)) (-4 *3 (-841)) - (-14 *4 - (-1 (-112) (-2 (|:| -2197 *3) (|:| -1473 *2)) - (-2 (|:| -2197 *3) (|:| -1473 *2))))))) -(((*1 *2 *2) - (-12 (-5 *2 (-635 (-479 *3 *4))) (-14 *3 (-635 (-1163))) - (-4 *4 (-450)) (-5 *1 (-623 *3 *4))))) +(((*1 *2 *3) + (-12 (-5 *3 (-1246 *5)) (-4 *5 (-631 *4)) (-4 *4 (-550)) + (-5 *2 (-112)) (-5 *1 (-630 *4 *5))))) +(((*1 *1 *2) + (-12 (-5 *2 (-635 (-635 *3))) (-4 *3 (-1087)) (-5 *1 (-1172 *3))))) (((*1 *2 *1) (-12 (-4 *1 (-243 *2)) (-4 *2 (-1200)))) ((*1 *2 *1) (-12 (-5 *2 (-1122)) (-5 *1 (-1083)))) ((*1 *2 *1) @@ -16782,35 +16630,33 @@ ((*1 *1 *1 *2) (-12 (-5 *2 (-762)) (-4 *1 (-1234 *3)) (-4 *3 (-1200)))) ((*1 *2 *1) (-12 (-4 *1 (-1234 *2)) (-4 *2 (-1200))))) -(((*1 *2 *2 *1) (-12 (-4 *1 (-253 *2)) (-4 *2 (-1200))))) -(((*1 *2 *2) - (-12 (-4 *3 (-13 (-841) (-550))) (-5 *1 (-157 *3 *2)) - (-4 *2 (-429 *3)))) - ((*1 *2 *2 *3) - (-12 (-5 *3 (-1163)) (-4 *4 (-13 (-841) (-550))) (-5 *1 (-157 *4 *2)) - (-4 *2 (-429 *4)))) - ((*1 *1 *1 *2) (-12 (-4 *1 (-159)) (-5 *2 (-1163)))) - ((*1 *1 *1) (-4 *1 (-159)))) -(((*1 *1 *1 *1) (-4 *1 (-543)))) -(((*1 *2 *1) (-12 (-5 *2 (-813)) (-5 *1 (-812))))) -(((*1 *1) (-5 *1 (-140)))) -(((*1 *2 *1) (-12 (-4 *1 (-1265 *3)) (-4 *3 (-362)) (-5 *2 (-112))))) +(((*1 *2) (-12 (-5 *2 (-558)) (-5 *1 (-996))))) +(((*1 *1 *1) + (-12 (-5 *1 (-588 *2)) (-4 *2 (-38 (-406 (-558)))) (-4 *2 (-1039))))) (((*1 *2 *3) - (-12 (-5 *3 (-1246 *5)) (-4 *5 (-631 *4)) (-4 *4 (-550)) - (-5 *2 (-112)) (-5 *1 (-630 *4 *5))))) + (-12 (-5 *3 (-635 (-604 *5))) (-4 *4 (-841)) (-5 *2 (-604 *5)) + (-5 *1 (-567 *4 *5)) (-4 *5 (-429 *4))))) +(((*1 *2 *3 *2) + (-12 (-5 *3 (-762)) (-5 *1 (-774 *2)) (-4 *2 (-38 (-406 (-558)))) + (-4 *2 (-171))))) +(((*1 *2 *3) + (-12 (-4 *4 (-1204)) (-4 *5 (-1222 *4)) + (-5 *2 (-2 (|:| -2313 (-406 *5)) (|:| |poly| *3))) + (-5 *1 (-147 *4 *5 *3)) (-4 *3 (-1222 (-406 *5)))))) +(((*1 *2 *2) (-12 (-5 *2 (-378)) (-5 *1 (-1248)))) + ((*1 *2) (-12 (-5 *2 (-378)) (-5 *1 (-1248))))) +(((*1 *2 *1) + (-12 (-4 *1 (-1193 *3 *4 *5 *6)) (-4 *3 (-550)) (-4 *4 (-784)) + (-4 *5 (-841)) (-4 *6 (-1053 *3 *4 *5)) (-4 *5 (-367)) + (-5 *2 (-762))))) (((*1 *1 *1) (-12 (-5 *1 (-588 *2)) (-4 *2 (-38 (-406 (-558)))) (-4 *2 (-1039))))) (((*1 *2 *3) - (-12 (-4 *4 (-38 (-406 (-558)))) - (-5 *2 (-2 (|:| -4065 (-1143 *4)) (|:| -4077 (-1143 *4)))) - (-5 *1 (-1149 *4)) (-5 *3 (-1143 *4))))) + (-12 (-4 *4 (-550)) (-5 *2 (-762)) (-5 *1 (-43 *4 *3)) + (-4 *3 (-416 *4))))) (((*1 *2 *2) - (-12 (-5 *2 (-1143 *3)) (-4 *3 (-1039)) (-5 *1 (-1147 *3)))) - ((*1 *1 *1) - (-12 (-5 *1 (-1238 *2 *3 *4)) (-4 *2 (-1039)) (-14 *3 (-1163)) - (-14 *4 *2)))) -(((*1 *2 *1) (-12 (-5 *2 (-635 (-1145))) (-5 *1 (-393)))) - ((*1 *2 *1) (-12 (-5 *2 (-635 (-1145))) (-5 *1 (-1180))))) + (-12 (-4 *3 (-13 (-841) (-450))) (-5 *1 (-1191 *3 *2)) + (-4 *2 (-13 (-429 *3) (-1185)))))) (((*1 *2 *3) (-12 (-4 *4 (-841)) (-5 *2 @@ -16818,17 +16664,26 @@ (|:| |f3| (-635 (-635 *4))) (|:| |f4| (-635 (-635 (-635 *4)))))) (-5 *1 (-1171 *4)) (-5 *3 (-635 (-635 (-635 *4))))))) (((*1 *2 *3) - (-12 (-5 *3 (-558)) (-4 *4 (-450)) (-4 *5 (-784)) (-4 *6 (-841)) - (-5 *2 (-1251)) (-5 *1 (-447 *4 *5 *6 *7)) (-4 *7 (-939 *4 *5 *6))))) -(((*1 *2 *1 *2) - (-12 (|has| *1 (-6 -4384)) (-4 *1 (-1234 *2)) (-4 *2 (-1200))))) -(((*1 *2) (-12 (-5 *2 (-1163)) (-5 *1 (-1166))))) + (-12 (-5 *3 (-246 *4 *5)) (-14 *4 (-635 (-1163))) (-4 *5 (-450)) + (-5 *2 (-479 *4 *5)) (-5 *1 (-623 *4 *5))))) +(((*1 *2 *1 *3) (-12 (-5 *3 (-378)) (-5 *2 (-1251)) (-5 *1 (-1248))))) +(((*1 *2 *1) + (-12 (-4 *1 (-677 *3 *4 *5)) (-4 *3 (-1039)) (-4 *4 (-372 *3)) + (-4 *5 (-372 *3)) (-5 *2 (-112)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1042 *3 *4 *5 *6 *7)) (-4 *5 (-1039)) + (-4 *6 (-237 *4 *5)) (-4 *7 (-237 *3 *5)) (-5 *2 (-112))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-635 (-942 *6))) (-5 *4 (-635 (-1163))) + (-4 *6 (-13 (-550) (-1028 *5))) (-4 *5 (-550)) + (-5 *2 (-635 (-635 (-293 (-406 (-942 *6)))))) (-5 *1 (-1029 *5 *6))))) (((*1 *1 *1 *2) (-12 (-5 *2 (-558)) (-4 *1 (-1080 *3)) (-4 *3 (-1200))))) -(((*1 *2 *3 *4 *5 *6 *5) - (-12 (-5 *4 (-168 (-224))) (-5 *5 (-558)) (-5 *6 (-1145)) - (-5 *3 (-224)) (-5 *2 (-1025)) (-5 *1 (-749))))) -(((*1 *1 *2) (-12 (-5 *2 (-406 (-558))) (-5 *1 (-485))))) +(((*1 *2 *2 *3) + (-12 (-5 *2 (-635 (-635 (-933 (-224))))) (-5 *3 (-635 (-864))) + (-5 *1 (-466))))) +(((*1 *2 *3 *3 *2) (-12 (-5 *2 (-378)) (-5 *3 (-1145)) (-5 *1 (-97)))) + ((*1 *2 *3 *2) (-12 (-5 *2 (-378)) (-5 *3 (-1145)) (-5 *1 (-97))))) (((*1 *1 *1 *2) (-12 (-5 *2 (-1 (-853) (-853))) (-5 *1 (-114)))) ((*1 *1 *1 *2) (-12 (-5 *2 (-1 (-853) (-635 (-853)))) (-5 *1 (-114)))) ((*1 *2 *1) @@ -16838,17 +16693,17 @@ (-4 *3 (-13 (-841) (-10 -8 (-15 -2215 ((-1145) $ (-1163))) (-15 -1452 (*2 $)) - (-15 -3394 (*2 $))))))) + (-15 -3098 (*2 $))))))) ((*1 *2 *1) (-12 (-5 *2 (-1251)) (-5 *1 (-393)))) ((*1 *2 *1 *3) (-12 (-5 *3 (-558)) (-5 *2 (-1251)) (-5 *1 (-393)))) ((*1 *2 *1) (-12 (-5 *2 (-1251)) (-5 *1 (-500)))) ((*1 *2 *3) (-12 (-5 *3 (-1145)) (-5 *2 (-1251)) (-5 *1 (-701)))) ((*1 *2 *1) (-12 (-5 *2 (-1251)) (-5 *1 (-1180)))) ((*1 *2 *1 *3) (-12 (-5 *3 (-558)) (-5 *2 (-1251)) (-5 *1 (-1180))))) -(((*1 *2 *1) - (-12 (-4 *1 (-966 *3 *4 *5 *6)) (-4 *3 (-1039)) (-4 *4 (-784)) - (-4 *5 (-841)) (-4 *6 (-1053 *3 *4 *5)) (-4 *3 (-550)) - (-5 *2 (-112))))) +(((*1 *2 *3) + (-12 (-4 *4 (-38 (-406 (-558)))) + (-5 *2 (-2 (|:| -4065 (-1143 *4)) (|:| -4075 (-1143 *4)))) + (-5 *1 (-1149 *4)) (-5 *3 (-1143 *4))))) (((*1 *2 *1) (-12 (|has| *1 (-6 -4383)) (-4 *1 (-34)) (-5 *2 (-762)))) ((*1 *2 *1) (-12 (-5 *2 (-762)) (-5 *1 (-128)))) ((*1 *2 *1) @@ -16857,10 +16712,12 @@ ((*1 *2 *1) (-12 (-5 *2 (-762)) (-5 *1 (-1269 *3 *4)) (-4 *3 (-1039)) (-4 *4 (-837))))) -(((*1 *2 *3 *4) - (-12 (-4 *5 (-1087)) (-4 *3 (-890 *5)) (-5 *2 (-679 *3)) - (-5 *1 (-682 *5 *3 *6 *4)) (-4 *6 (-372 *3)) - (-4 *4 (-13 (-372 *5) (-10 -7 (-6 -4383))))))) +(((*1 *2 *2) (-12 (-5 *2 (-224)) (-5 *1 (-225)))) + ((*1 *2 *2) (-12 (-5 *2 (-168 (-224))) (-5 *1 (-225))))) +(((*1 *2 *3 *3) + (|partial| -12 (-4 *4 (-550)) + (-5 *2 (-2 (|:| -4254 *3) (|:| -2971 *3))) (-5 *1 (-1217 *4 *3)) + (-4 *3 (-1222 *4))))) (((*1 *1 *2 *1) (-12 (|has| *1 (-6 -4383)) (-4 *1 (-150 *2)) (-4 *2 (-1200)) (-4 *2 (-1087)))) @@ -16877,132 +16734,130 @@ ((*1 *1 *2 *1) (-12 (-5 *2 (-1127 *3 *4)) (-4 *3 (-13 (-1087) (-34))) (-4 *4 (-13 (-1087) (-34))) (-5 *1 (-1128 *3 *4))))) -(((*1 *2 *1) - (-12 (-4 *1 (-165 *3)) (-4 *3 (-171)) (-4 *3 (-543)) (-5 *2 (-112)))) - ((*1 *2 *1) - (-12 (-5 *2 (-112)) (-5 *1 (-417 *3)) (-4 *3 (-543)) (-4 *3 (-550)))) - ((*1 *2 *1) (-12 (-4 *1 (-543)) (-5 *2 (-112)))) - ((*1 *2 *1) - (-12 (-4 *1 (-788 *3)) (-4 *3 (-171)) (-4 *3 (-543)) (-5 *2 (-112)))) - ((*1 *2 *1) - (-12 (-5 *2 (-112)) (-5 *1 (-824 *3)) (-4 *3 (-543)) (-4 *3 (-1087)))) - ((*1 *2 *1) - (-12 (-5 *2 (-112)) (-5 *1 (-834 *3)) (-4 *3 (-543)) (-4 *3 (-1087)))) - ((*1 *2 *1) - (-12 (-4 *1 (-987 *3)) (-4 *3 (-171)) (-4 *3 (-543)) (-5 *2 (-112)))) - ((*1 *2 *3) - (-12 (-5 *2 (-112)) (-5 *1 (-998 *3)) (-4 *3 (-1028 (-406 (-558))))))) -(((*1 *2 *1) (-12 (-4 *1 (-788 *2)) (-4 *2 (-171))))) -(((*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-1025))))) -(((*1 *2) (-12 (-5 *2 (-911)) (-5 *1 (-1249)))) - ((*1 *2 *2) (-12 (-5 *2 (-911)) (-5 *1 (-1249))))) -(((*1 *2 *3 *4 *5 *6 *7) - (-12 (-5 *3 (-1143 (-2 (|:| |k| (-558)) (|:| |c| *6)))) - (-5 *4 (-1016 (-834 (-558)))) (-5 *5 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88154) (-4018 . 87405) + (-4019 . 87054) (-4020 . 86962) (-4021 . 86846) (-4022 . 86632) + (-4023 . 86549) (-4024 . 86330) (-4025 . 86003) (-4026 . 85835) + (-4027 . 85621) (-4028 . 85507) (-4029 . 85302) (-4030 . 84728) + (-4031 . 84619) (-4032 . 84226) (-4033 . 84142) (-4034 . 83715) + (-4035 . 83524) (-4036 . 83246) (-4037 . 83172) (-4038 . 82965) + (-4039 . 82812) (-4040 . 82558) (-4041 . 82311) (-4042 . 81737) + (-4043 . 81403) (-4044 . 81287) (-4045 . 81135) (-4046 . 80969) + (-4047 . 80881) (-4048 . 80634) (-4049 . 80392) (-4050 . 80294) + (-4051 . 80213) (-4052 . 79921) (-4053 . 79347) (-4054 . 79221) + (-4055 . 79067) (-4056 . 78961) (-4057 . 77876) (-4058 . 76018) + (-4059 . 75960) (-4060 . 75851) (-4061 . 75633) (-4062 . 75430) + (-4063 . 75350) (-4064 . 75269) (-4065 . 74582) (-4066 . 74463) + (-4067 . 74031) (-4068 . 73902) (-4069 . 73800) (-4070 . 73680) + (-4071 . 73609) (-4072 . 73485) (-4073 . 73414) (-4074 . 73313) + (-4075 . 72626) (-4076 . 72552) (-4077 . 71736) 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54581) + (-4139 . 54092) (-4140 . 54040) (-4141 . 53835) (-4142 . 53603) + (-4143 . 53338) (-4144 . 52764) (-4145 . 52587) (-4146 . 52556) + (-4147 . 52437) (-4148 . 52265) (-4149 . 51856) (-4150 . 51747) + (-4151 . 51662) (-4152 . 51355) (-4153 . 51236) (-4154 . 51012) + (-4155 . 50769) (-4156 . 50195) (-4157 . 50081) (-4158 . 49997) + (-4159 . 49878) (-4160 . 49771) (-4161 . 49599) (-4162 . 49462) + (-4163 . 49065) (-4164 . 48937) (-4165 . 48881) (-4166 . 48823) + (-4167 . 48700) (-4168 . 48555) (-4169 . 47981) (-4170 . 47874) + (-4171 . 47656) (-4172 . 47570) (-4173 . 47398) (-4174 . 47300) + (-4175 . 47245) (-4176 . 46990) (-4177 . 46869) (-4178 . 45584) + (-4179 . 45010) (-4180 . 44907) (-4181 . 44615) (-4182 . 44563) + (-4183 . 44534) (-4184 . 44247) (-4185 . 44210) (-4186 . 44039) + (-4187 . 43983) (-4188 . 43783) (-4189 . 43731) (-4190 . 43676) + (-4191 . 43516) (-4192 . 43433) (-4193 . 41465) (-4194 . 41394) + (-4195 . 41205) (-4196 . 41138) (-4197 . 40174) (-4198 . 39986) + 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24267) (-4260 . 24153) (-4261 . 24094) (-4262 . 24003) + (-4263 . 23906) (-4264 . 23733) (-4265 . 23460) (-4266 . 23392) + (-4267 . 23314) (-4268 . 23263) (-4269 . 23159) (-4270 . 23117) + (-4271 . 22976) (-4272 . 22870) (-4273 . 22639) (-4274 . 22580) + (-4275 . 22527) (-4276 . 22450) (-4277 . 22042) (-4278 . 21908) + (-4279 . 21775) (-4280 . 21676) (-4281 . 21544) (-4282 . 21120) + (-4283 . 20896) (-4284 . 20830) (-4285 . 20702) (-4286 . 20649) + (-4287 . 20460) (-4288 . 20206) (-4289 . 20109) (-4290 . 19912) + (-4291 . 19542) (-4292 . 19320) (-4293 . 19267) (-4294 . 19194) + (-4295 . 18814) (-4296 . 18596) (-4297 . 18544) (-4298 . 17980) + (-4299 . 17928) (-4300 . 17638) (-4301 . 17451) (-4302 . 17113) + (-4303 . 16964) (-4304 . 16781) (-4305 . 16710) (-4306 . 16413) + (-4307 . 16382) (-4308 . 16302) (-4309 . 16229) (-4310 . 15838) + (-4311 . 15021) (-4312 . 14949) (-4313 . 14703) (-4314 . 14615) + (-4315 . 14538) (-4316 . 14439) (-4317 . 14183) (-4318 . 14114) + (-4319 . 13984) 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