diff options
Diffstat (limited to 'src/share')
-rw-r--r-- | src/share/algebra/browse.daase | 324 | ||||
-rw-r--r-- | src/share/algebra/category.daase | 39 | ||||
-rw-r--r-- | src/share/algebra/compress.daase | 1310 | ||||
-rw-r--r-- | src/share/algebra/interp.daase | 7414 | ||||
-rw-r--r-- | src/share/algebra/operation.daase | 25948 |
5 files changed, 17476 insertions, 17559 deletions
diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase index 8d60a197..8ad35437 100644 --- a/src/share/algebra/browse.daase +++ b/src/share/algebra/browse.daase @@ -1,5 +1,5 @@ -(2283643 . 3451919708) +(2282879 . 3452194356) (-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 -2312) +(-32 R -2313) ((|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 -1034) (QUOTE (-564))))) @@ -88,14 +88,14 @@ 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 -2312 UP UPUP -3665) +(-40 -2313 UP UPUP -4079) ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}"))) ((-4400 |has| (-407 |#2|) (-363)) (-4405 |has| (-407 |#2|) (-363)) (-4399 |has| (-407 |#2|) (-363)) ((-4409 "*") . T) (-4401 . T) (-4402 . T) (-4404 . T)) ((|HasCategory| (-407 |#2|) (QUOTE (-145))) (|HasCategory| (-407 |#2|) (QUOTE (-147))) (|HasCategory| (-407 |#2|) (QUOTE (-349))) (-2733 (|HasCategory| (-407 |#2|) (QUOTE (-363))) (|HasCategory| (-407 |#2|) (QUOTE (-349)))) (|HasCategory| (-407 |#2|) (QUOTE (-363))) (|HasCategory| (-407 |#2|) (QUOTE (-368))) (-2733 (-12 (|HasCategory| (-407 |#2|) (QUOTE (-233))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (|HasCategory| (-407 |#2|) (QUOTE (-349)))) (-2733 (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-349))))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -637) (QUOTE (-564)))) (-2733 (|HasCategory| (-407 |#2|) (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -1034) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-368))) (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (-12 (|HasCategory| (-407 |#2|) (QUOTE (-233))) (|HasCategory| (-407 |#2|) (QUOTE (-363))))) -(-41 R -2312) +(-41 R -2313) ((|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 (-452))) (|HasCategory| |#1| (QUOTE (-846))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|))))) +((-12 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -430) (|devaluate| |#1|))))) (-42 OV E P) ((|constructor| (NIL "This package factors multivariate polynomials over the domain of \\spadtype{AlgebraicNumber} by allowing the user to specify a list of algebraic numbers generating the particular extension to factor over.")) (|factor| (((|Factored| (|SparseUnivariatePolynomial| |#3|)) (|SparseUnivariatePolynomial| |#3|) (|List| (|AlgebraicNumber|))) "\\spad{factor(p,{}lan)} factors the polynomial \\spad{p} over the extension generated by the algebraic numbers given by the list \\spad{lan}. \\spad{p} is presented as a univariate polynomial with multivariate coefficients.") (((|Factored| |#3|) |#3| (|List| (|AlgebraicNumber|))) "\\spad{factor(p,{}lan)} factors the polynomial \\spad{p} over the extension generated by the algebraic numbers given by the list \\spad{lan}."))) NIL @@ -144,7 +144,7 @@ NIL ((|constructor| (NIL "\\spad{ApplyUnivariateSkewPolynomial} (internal) allows univariate skew polynomials to be applied to appropriate modules.")) (|apply| ((|#2| |#3| (|Mapping| |#2| |#2|) |#2|) "\\spad{apply(p,{} f,{} m)} returns \\spad{p(m)} where the action is given by \\spad{x m = f(m)}. \\spad{f} must be an \\spad{R}-pseudo linear map on \\spad{M}."))) NIL NIL -(-54 |Base| R -2312) +(-54 |Base| R -2313) ((|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| (($ $ (|Identifier|) (|None|)) "\\spad{setProperty(op,{} p,{} v)} attaches property \\spad{p} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|) (|None|)) "\\spad{setProperty(op,{} s,{} v)} attaches property \\spad{s} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|property| (((|Maybe| (|None|)) $ (|Identifier|)) "\\spad{property(op,{} p)} returns the value of property \\spad{p} if it is attached to \\spad{op},{} otherwise \\spad{nothing}.") (((|Union| (|None|) "failed") $ (|String|)) "\\spad{property(op,{} s)} returns the value of property \\spad{s} if it is attached to \\spad{op},{} and \"failed\" otherwise.")) (|deleteProperty!| (($ $ (|Identifier|)) "\\spad{deleteProperty!(op,{} p)} unattaches property \\spad{p} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|)) "\\spad{deleteProperty!(op,{} s)} unattaches property \\spad{s} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|assert| (($ $ (|Identifier|)) "\\spad{assert(op,{} p)} attaches property \\spad{p} to \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|has?| (((|Boolean|) $ (|Identifier|)) "\\spad{has?(op,{}p)} tests if property \\spad{s} is attached to \\spad{op}.")) (|is?| (((|Boolean|) $ (|Symbol|)) "\\spad{is?(op,{} s)} tests if the name of \\spad{op} is \\spad{s}.")) (|input| (((|Union| (|Mapping| (|InputForm|) (|List| (|InputForm|))) "failed") $) "\\spad{input(op)} returns the \"\\%input\" property of \\spad{op} if it has one attached,{} \"failed\" otherwise.") (($ $ (|Mapping| (|InputForm|) (|List| (|InputForm|)))) "\\spad{input(op,{} foo)} attaches foo as the \"\\%input\" property of \\spad{op}. If \\spad{op} has a \"\\%input\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to InputForm as \\spad{f(a1,{}...,{}an)}.")) (|display| (($ $ (|Mapping| (|OutputForm|) (|OutputForm|))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a)} gets converted to OutputForm as \\spad{f(a)}. Argument \\spad{op} must be unary.") (($ $ (|Mapping| (|OutputForm|) (|List| (|OutputForm|)))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to OutputForm as \\spad{f(a1,{}...,{}an)}.") (((|Union| (|Mapping| (|OutputForm|) (|List| (|OutputForm|))) "failed") $) "\\spad{display(op)} returns the \"\\%display\" property of \\spad{op} if it has one attached,{} and \"failed\" otherwise.")) (|comparison| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{comparison(op,{} foo?)} attaches foo? as the \"\\%less?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has a \"\\%less?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether \\spad{op1 < op2}.")) (|equality| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{equality(op,{} foo?)} attaches foo? as the \"\\%equal?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has an \"\\%equal?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether op1 and op2 should be considered equal.")) (|weight| (($ $ (|NonNegativeInteger|)) "\\spad{weight(op,{} n)} attaches the weight \\spad{n} to \\spad{op}.") (((|NonNegativeInteger|) $) "\\spad{weight(op)} returns the weight attached to \\spad{op}.")) (|nary?| (((|Boolean|) $) "\\spad{nary?(op)} tests if \\spad{op} has arbitrary arity.")) (|unary?| (((|Boolean|) $) "\\spad{unary?(op)} tests if \\spad{op} is unary.")) (|nullary?| (((|Boolean|) $) "\\spad{nullary?(op)} tests if \\spad{op} is nullary.")) (|operator| (($ (|Symbol|) (|Arity|)) "\\spad{operator(f,{} a)} makes \\spad{f} into an operator of arity \\spad{a}.") (($ (|Symbol|) (|NonNegativeInteger|)) "\\spad{operator(f,{} n)} makes \\spad{f} into an \\spad{n}-ary operator.") (($ (|Symbol|)) "\\spad{operator(f)} makes \\spad{f} into an operator with arbitrary arity.")) (|copy| (($ $) "\\spad{copy(op)} returns a copy of \\spad{op}.")) (|properties| (((|AssociationList| (|String|) (|None|)) $) "\\spad{properties(op)} returns the list of all the properties currently attached to \\spad{op}."))) NIL NIL -(-115 -2312 UP) +(-115 -2313 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 @@ -520,7 +520,7 @@ NIL ((|constructor| (NIL "Rings of Characteristic Zero."))) ((-4404 . T)) NIL -(-148 -2312 UP UPUP) +(-148 -2313 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 @@ -560,7 +560,7 @@ 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 -(-158 R -2312) +(-158 R -2313) ((|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 @@ -591,10 +591,10 @@ NIL (-165 S R) ((|constructor| (NIL "This category represents the extension of a ring by a square root of \\spad{-1}.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a rational number,{} or \"failed\" if \\spad{x} is not a rational number.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a rational number. Error: if \\spad{x} is not a rational number.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a rational number.")) (|polarCoordinates| (((|Record| (|:| |r| |#2|) (|:| |phi| |#2|)) $) "\\spad{polarCoordinates(x)} returns (\\spad{r},{} phi) such that \\spad{x} = \\spad{r} * exp(\\%\\spad{i} * phi).")) (|argument| ((|#2| $) "\\spad{argument(x)} returns the angle made by (0,{}1) and (0,{}\\spad{x}).")) (|abs| (($ $) "\\spad{abs(x)} returns the absolute value of \\spad{x} = sqrt(norm(\\spad{x})).")) (|exquo| (((|Union| $ "failed") $ |#2|) "\\spad{exquo(x,{} r)} returns the exact quotient of \\spad{x} by \\spad{r},{} or \"failed\" if \\spad{r} does not divide \\spad{x} exactly.")) (|norm| ((|#2| $) "\\spad{norm(x)} returns \\spad{x} * conjugate(\\spad{x})")) (|real| ((|#2| $) "\\spad{real(x)} returns real part of \\spad{x}.")) (|imag| ((|#2| $) "\\spad{imag(x)} returns imaginary part of \\spad{x}.")) (|conjugate| (($ $) "\\spad{conjugate(x + \\%i y)} returns \\spad{x} - \\%\\spad{i} \\spad{y}.")) (|imaginary| (($) "\\spad{imaginary()} = sqrt(\\spad{-1}) = \\%\\spad{i}.")) (|complex| (($ |#2| |#2|) "\\spad{complex(x,{}y)} constructs \\spad{x} + \\%i*y.") ((|attribute|) "indicates that \\% has sqrt(\\spad{-1})"))) NIL -((|HasCategory| |#2| (QUOTE (-905))) (|HasCategory| |#2| (QUOTE (-545))) (|HasCategory| |#2| (QUOTE (-998))) (|HasCategory| |#2| (QUOTE (-1194))) (|HasCategory| |#2| (QUOTE (-1054))) (|HasCategory| |#2| (QUOTE (-1018))) (|HasCategory| |#2| (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (QUOTE (-363))) (|HasAttribute| |#2| (QUOTE -4403)) (|HasAttribute| |#2| (QUOTE -4406)) (|HasCategory| |#2| (QUOTE (-307))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-846)))) +((|HasCategory| |#2| (QUOTE (-905))) (|HasCategory| |#2| (QUOTE (-545))) (|HasCategory| |#2| (QUOTE (-998))) (|HasCategory| |#2| (QUOTE (-1194))) (|HasCategory| |#2| (QUOTE (-1054))) (|HasCategory| |#2| (QUOTE (-1018))) (|HasCategory| |#2| (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (QUOTE (-363))) (|HasAttribute| |#2| (QUOTE -4403)) (|HasAttribute| |#2| (QUOTE -4406)) (|HasCategory| |#2| (QUOTE (-307))) (|HasCategory| |#2| (QUOTE (-556)))) (-166 R) ((|constructor| (NIL "This category represents the extension of a ring by a square root of \\spad{-1}.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a rational number,{} or \"failed\" if \\spad{x} is not a rational number.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a rational number. Error: if \\spad{x} is not a rational number.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a rational number.")) (|polarCoordinates| (((|Record| (|:| |r| |#1|) (|:| |phi| |#1|)) $) "\\spad{polarCoordinates(x)} returns (\\spad{r},{} phi) such that \\spad{x} = \\spad{r} * exp(\\%\\spad{i} * phi).")) (|argument| ((|#1| $) "\\spad{argument(x)} returns the angle made by (0,{}1) and (0,{}\\spad{x}).")) (|abs| (($ $) "\\spad{abs(x)} returns the absolute value of \\spad{x} = sqrt(norm(\\spad{x})).")) (|exquo| (((|Union| $ "failed") $ |#1|) "\\spad{exquo(x,{} r)} returns the exact quotient of \\spad{x} by \\spad{r},{} or \"failed\" if \\spad{r} does not divide \\spad{x} exactly.")) (|norm| ((|#1| $) "\\spad{norm(x)} returns \\spad{x} * conjugate(\\spad{x})")) (|real| ((|#1| $) "\\spad{real(x)} returns real part of \\spad{x}.")) (|imag| ((|#1| $) "\\spad{imag(x)} returns imaginary part of \\spad{x}.")) (|conjugate| (($ $) "\\spad{conjugate(x + \\%i y)} returns \\spad{x} - \\%\\spad{i} \\spad{y}.")) (|imaginary| (($) "\\spad{imaginary()} = sqrt(\\spad{-1}) = \\%\\spad{i}.")) (|complex| (($ |#1| |#1|) "\\spad{complex(x,{}y)} constructs \\spad{x} + \\%i*y.") ((|attribute|) "indicates that \\% has sqrt(\\spad{-1})"))) -((-4400 -2733 (|has| |#1| (-556)) (-12 (|has| |#1| (-307)) (|has| |#1| (-905)))) (-4405 |has| |#1| (-363)) (-4399 |has| |#1| (-363)) (-4403 |has| |#1| (-6 -4403)) (-4406 |has| |#1| (-6 -4406)) (-3593 . T) ((-4409 "*") . T) (-4401 . T) (-4402 . T) (-4404 . T)) +((-4400 -2733 (|has| |#1| (-556)) (-12 (|has| |#1| (-307)) (|has| |#1| (-905)))) (-4405 |has| |#1| (-363)) (-4399 |has| |#1| (-363)) (-4403 |has| |#1| (-6 -4403)) (-4406 |has| |#1| (-6 -4406)) (-3591 . T) ((-4409 "*") . T) (-4401 . T) (-4402 . T) (-4404 . T)) NIL (-167 RR PR) ((|constructor| (NIL "\\indented{1}{Author:} Date Created: Date Last Updated: Basic Functions: Related Constructors: Complex,{} UnivariatePolynomial Also See: AMS Classifications: Keywords: complex,{} polynomial factorization,{} factor References:")) (|factor| (((|Factored| |#2|) |#2|) "\\spad{factor(p)} factorizes the polynomial \\spad{p} with complex coefficients."))) @@ -606,8 +606,8 @@ NIL NIL (-169 R) ((|constructor| (NIL "\\spadtype {Complex(R)} creates the domain of elements of the form \\spad{a + b * i} where \\spad{a} and \\spad{b} come from the ring \\spad{R},{} and \\spad{i} is a new element such that \\spad{i**2 = -1}."))) -((-4400 -2733 (|has| |#1| (-556)) (-12 (|has| |#1| (-307)) (|has| |#1| (-905)))) (-4405 |has| |#1| (-363)) (-4399 |has| |#1| (-363)) (-4403 |has| |#1| (-6 -4403)) (-4406 |has| |#1| (-6 -4406)) (-3593 . T) ((-4409 "*") . T) (-4401 . T) (-4402 . T) (-4404 . 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(QUOTE -514) (QUOTE (-1170)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -286) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-824))) (|HasCategory| |#1| (QUOTE (-1054))) (-12 (|HasCategory| |#1| (QUOTE (-1054))) (|HasCategory| |#1| (QUOTE (-1194)))) (|HasCategory| |#1| (QUOTE (-545))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-905))) (-2733 (-12 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-363)))) (-2733 (-12 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-233))) (-12 (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasAttribute| |#1| (QUOTE -4403)) (|HasAttribute| |#1| (QUOTE -4406)) (-12 (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170))))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-145)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-307))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-349))))) (-170 R S CS) ((|constructor| (NIL "This package supports converting complex expressions to patterns")) (|convert| (((|Pattern| |#1|) |#3|) "\\spad{convert(cs)} converts the complex expression \\spad{cs} to a pattern"))) NIL @@ -680,7 +680,7 @@ NIL ((|constructor| (NIL "This domain provides implementations for constructors.")) (|findConstructor| (((|Maybe| $) (|Identifier|)) "\\spad{findConstructor(s)} attempts to find a constructor named \\spad{s}. If successful,{} returns that constructor; otherwise,{} returns \\spad{nothing}."))) NIL NIL -(-188 R -2312) +(-188 R -2313) ((|constructor| (NIL "\\spadtype{ComplexTrigonometricManipulations} provides function that compute the real and imaginary parts of complex functions.")) (|complexForm| (((|Complex| (|Expression| |#1|)) |#2|) "\\spad{complexForm(f)} returns \\spad{[real f,{} imag f]}.")) (|trigs| ((|#2| |#2|) "\\spad{trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (|real?| (((|Boolean|) |#2|) "\\spad{real?(f)} returns \\spad{true} if \\spad{f = real f}.")) (|imag| (((|Expression| |#1|) |#2|) "\\spad{imag(f)} returns the imaginary part of \\spad{f} where \\spad{f} is a complex function.")) (|real| (((|Expression| |#1|) |#2|) "\\spad{real(f)} returns the real part of \\spad{f} where \\spad{f} is a complex function.")) (|complexElementary| ((|#2| |#2| (|Symbol|)) "\\spad{complexElementary(f,{} x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log,{} exp}.") ((|#2| |#2|) "\\spad{complexElementary(f)} rewrites \\spad{f} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log,{} exp}.")) (|complexNormalize| ((|#2| |#2| (|Symbol|)) "\\spad{complexNormalize(f,{} x)} rewrites \\spad{f} using the least possible number of complex independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{complexNormalize(f)} rewrites \\spad{f} using the least possible number of complex independent kernels."))) NIL NIL @@ -788,11 +788,11 @@ NIL ((|constructor| (NIL "\\indented{1}{This domain implements a simple view of a database whose fields are} indexed by symbols")) (- (($ $ $) "\\spad{db1-db2} returns the difference of databases \\spad{db1} and \\spad{db2} \\spadignore{i.e.} consisting of elements in \\spad{db1} but not in \\spad{db2}")) (+ (($ $ $) "\\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 -(-215 -2312 UP UPUP R) +(-215 -2313 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 -(-216 -2312 FP) +(-216 -2313 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 @@ -804,7 +804,7 @@ 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 -(-219 R -2312) +(-219 R -2313) ((|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 @@ -824,7 +824,7 @@ 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}."))) ((-4404 . T)) NIL -(-224 R -2312) +(-224 R -2313) ((|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 @@ -919,7 +919,7 @@ NIL (-247 |vl| R) ((|constructor| (NIL "\\indented{2}{This type supports distributed multivariate polynomials} whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is lexicographic specified by the variable list parameter with the most significant variable first in the list.")) (|reorder| (($ $ (|List| (|Integer|))) "\\spad{reorder(p,{} perm)} applies the permutation perm to the variables in a polynomial and returns the new correctly ordered polynomial"))) (((-4409 "*") |has| |#2| (-172)) (-4400 |has| |#2| (-556)) (-4405 |has| |#2| (-6 -4405)) (-4402 . T) (-4401 . T) (-4404 . T)) -((|HasCategory| |#2| (QUOTE (-905))) (-2733 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-172))) (-2733 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-556)))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#2| (QUOTE (-846))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-145))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-363))) (|HasAttribute| |#2| (QUOTE -4405)) (|HasCategory| |#2| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-145))))) +((|HasCategory| |#2| (QUOTE (-905))) (-2733 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-172))) (-2733 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-556)))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-145))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-363))) (|HasAttribute| |#2| (QUOTE -4405)) (|HasCategory| |#2| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-145))))) (-248) ((|showSummary| (((|Void|) $) "\\spad{showSummary(d)} prints out implementation detail information of domain \\spad{`d'}.")) (|reflect| (($ (|ConstructorCall|)) "\\spad{reflect cc} returns the domain object designated by the ConstructorCall syntax `cc'. The constructor implied by `cc' must be known to the system since it is instantiated.")) (|reify| (((|ConstructorCall|) $) "\\spad{reify(d)} returns the abstract syntax for the domain \\spad{`x'}.")) (|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Create: October 18,{} 2007. Date Last Updated: December 20,{} 2008. Basic Operations: coerce,{} reify Related Constructors: Type,{} Syntax,{} OutputForm Also See: Type,{} ConstructorCall") (((|DomainConstructor|) $) "\\spad{constructor(d)} returns the domain constructor that is instantiated to the domain object \\spad{`d'}."))) NIL @@ -987,7 +987,7 @@ NIL (-264 R S V) ((|constructor| (NIL "\\spadtype{DifferentialSparseMultivariatePolynomial} implements an ordinary differential polynomial ring by combining a domain belonging to the category \\spadtype{DifferentialVariableCategory} with the domain \\spadtype{SparseMultivariatePolynomial}. \\blankline"))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4405 |has| |#1| (-6 -4405)) (-4402 . T) (-4401 . T) (-4404 . T)) -((|HasCategory| |#1| (QUOTE (-905))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#3| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#3| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#3| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#3| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#3| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (QUOTE (-846))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasAttribute| |#1| (QUOTE -4405)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-145))))) +((|HasCategory| |#1| (QUOTE (-905))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#3| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#3| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#3| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#3| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#3| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasAttribute| |#1| (QUOTE -4405)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-145))))) (-265 A S) ((|constructor| (NIL "\\spadtype{DifferentialVariableCategory} constructs the set of derivatives of a given set of (ordinary) differential indeterminates. If \\spad{x},{}...,{}\\spad{y} is an ordered set of differential indeterminates,{} and the prime notation is used for differentiation,{} then the set of derivatives (including zero-th order) of the differential indeterminates is \\spad{x},{}\\spad{x'},{}\\spad{x''},{}...,{} \\spad{y},{}\\spad{y'},{}\\spad{y''},{}... (Note: in the interpreter,{} the \\spad{n}-th derivative of \\spad{y} is displayed as \\spad{y} with a subscript \\spad{n}.) This set is viewed as a set of algebraic indeterminates,{} totally ordered in a way compatible with differentiation and the given order on the differential indeterminates. Such a total order is called a ranking of the differential indeterminates. \\blankline A domain in this category is needed to construct a differential polynomial domain. Differential polynomials are ordered by a ranking on the derivatives,{} and by an order (extending the ranking) on on the set of differential monomials. One may thus associate a domain in this category with a ranking of the differential indeterminates,{} just as one associates a domain in the category \\spadtype{OrderedAbelianMonoidSup} with an ordering of the set of monomials in a set of algebraic indeterminates. The ranking is specified through the binary relation \\spadfun{<}. For example,{} one may define one derivative to be less than another by lexicographically comparing first the \\spadfun{order},{} then the given order of the differential indeterminates appearing in the derivatives. This is the default implementation. \\blankline The notion of weight generalizes that of degree. A polynomial domain may be made into a graded ring if a weight function is given on the set of indeterminates,{} Very often,{} a grading is the first step in ordering the set of monomials. For differential polynomial domains,{} this constructor provides a function \\spadfun{weight},{} which allows the assignment of a non-negative number to each derivative of a differential indeterminate. For example,{} one may define the weight of a derivative to be simply its \\spadfun{order} (this is the default assignment). This weight function can then be extended to the set of all differential polynomials,{} providing a graded ring structure.")) (|coerce| (($ |#2|) "\\spad{coerce(s)} returns \\spad{s},{} viewed as the zero-th order derivative of \\spad{s}.")) (|differentiate| (($ $ (|NonNegativeInteger|)) "\\spad{differentiate(v,{} n)} returns the \\spad{n}-th derivative of \\spad{v}.") (($ $) "\\spad{differentiate(v)} returns the derivative of \\spad{v}.")) (|weight| (((|NonNegativeInteger|) $) "\\spad{weight(v)} returns the weight of the derivative \\spad{v}.")) (|variable| ((|#2| $) "\\spad{variable(v)} returns \\spad{s} if \\spad{v} is any derivative of the differential indeterminate \\spad{s}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(v)} returns \\spad{n} if \\spad{v} is the \\spad{n}-th derivative of any differential indeterminate.")) (|makeVariable| (($ |#2| (|NonNegativeInteger|)) "\\spad{makeVariable(s,{} n)} returns the \\spad{n}-th derivative of a differential indeterminate \\spad{s} as an algebraic indeterminate."))) NIL @@ -1032,11 +1032,11 @@ 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 -(-276 R -2312) +(-276 R -2313) ((|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 -(-277 R -2312) +(-277 R -2313) ((|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 @@ -1084,7 +1084,7 @@ NIL ((|constructor| (NIL "An eltable aggregate is one which can be viewed as a function. For example,{} the list \\axiom{[1,{}7,{}4]} can applied to 0,{}1,{} and 2 respectively will return the integers 1,{}7,{} and 4; thus this list may be viewed as mapping 0 to 1,{} 1 to 7 and 2 to 4. In general,{} an aggregate can map members of a domain {\\em Dom} to an image domain {\\em Im}.")) (|qsetelt!| ((|#2| $ |#1| |#2|) "\\spad{qsetelt!(u,{}x,{}y)} sets the image of \\axiom{\\spad{x}} to be \\axiom{\\spad{y}} under \\axiom{\\spad{u}},{} without checking that \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}}. If such a check is required use the function \\axiom{setelt}.")) (|setelt| ((|#2| $ |#1| |#2|) "\\spad{setelt(u,{}x,{}y)} sets the image of \\spad{x} to be \\spad{y} under \\spad{u},{} assuming \\spad{x} is in the domain of \\spad{u}. Error: if \\spad{x} is not in the domain of \\spad{u}.")) (|qelt| ((|#2| $ |#1|) "\\spad{qelt(u,{} x)} applies \\axiom{\\spad{u}} to \\axiom{\\spad{x}} without checking whether \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}}. If \\axiom{\\spad{x}} is not in the domain of \\axiom{\\spad{u}} a memory-access violation may occur. If a check on whether \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}} is required,{} use the function \\axiom{elt}.")) (|elt| ((|#2| $ |#1| |#2|) "\\spad{elt(u,{} x,{} y)} applies \\spad{u} to \\spad{x} if \\spad{x} is in the domain of \\spad{u},{} and returns \\spad{y} otherwise. For example,{} if \\spad{u} is a polynomial in \\axiom{\\spad{x}} over the rationals,{} \\axiom{elt(\\spad{u},{}\\spad{n},{}0)} may define the coefficient of \\axiom{\\spad{x}} to the power \\spad{n},{} returning 0 when \\spad{n} is out of range."))) NIL NIL -(-289 S R |Mod| -3482 -2443 |exactQuo|) +(-289 S R |Mod| -2713 -3600 |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"))) ((-4400 . T) ((-4409 "*") . T) (-4401 . T) (-4402 . T) (-4404 . T)) NIL @@ -1116,11 +1116,11 @@ 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 -(-297 -2312 S) +(-297 -2313 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 -(-298 E -2312) +(-298 E -2313) ((|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 @@ -1168,7 +1168,7 @@ 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 -(-310 -2312) +(-310 -2313) ((|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 @@ -1196,7 +1196,7 @@ 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."))) ((-4404 -2733 (-2364 (|has| |#1| (-1045)) (|has| |#1| (-637 (-564)))) (-12 (|has| |#1| (-556)) (-2733 (-2364 (|has| |#1| (-1045)) (|has| |#1| (-637 (-564)))) (|has| |#1| (-1045)) (|has| |#1| (-473)))) (|has| |#1| (-1045)) (|has| |#1| (-473))) (-4402 |has| |#1| (-172)) (-4401 |has| |#1| (-172)) ((-4409 "*") |has| |#1| (-556)) (-4400 |has| |#1| (-556)) (-4405 |has| |#1| (-556)) (-4399 |has| |#1| (-556))) ((-2733 (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))))) (|HasCategory| |#1| (QUOTE (-556))) (-2733 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-1045)))) (-2733 (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-1045))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (-2733 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (QUOTE (-1106)))) (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-2733 (|HasCategory| |#1| (QUOTE (-1045))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564))))) (-2733 (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-1045)))) (-2733 (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-1045)))) (-2733 (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-1045)))) (-12 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556)))) (-2733 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| |#1| (QUOTE (-1045))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564))))) (-2733 (-12 (|HasCategory| |#1| (QUOTE (-1045))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-1106)))) (-2733 (|HasCategory| |#1| (QUOTE (-21))) (-12 (|HasCategory| |#1| (QUOTE (-1045))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))))) (-2733 (|HasCategory| |#1| (QUOTE (-25))) (-12 (|HasCategory| |#1| (QUOTE (-1045))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-1106)))) (-2733 (|HasCategory| |#1| (QUOTE (-25))) (-12 (|HasCategory| |#1| (QUOTE (-1045))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))))) (-2733 (|HasCategory| |#1| (QUOTE (-473))) (|HasCategory| |#1| (QUOTE (-1045)))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-1106))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| $ (QUOTE (-1045))) (|HasCategory| $ (LIST (QUOTE -1034) (QUOTE (-564))))) -(-317 R -2312) +(-317 R -2313) ((|constructor| (NIL "Taylor series solutions of explicit ODE\\spad{'s}.")) (|seriesSolve| (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve(eq,{} y,{} x = a,{} [b0,{}...,{}bn])} is equivalent to \\spad{seriesSolve(eq = 0,{} y,{} x = a,{} [b0,{}...,{}b(n-1)])}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|Equation| |#2|)) "\\spad{seriesSolve(eq,{} y,{} x = a,{} y a = b)} is equivalent to \\spad{seriesSolve(eq=0,{} y,{} x=a,{} y a = b)}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq,{} y,{} x = a,{} b)} is equivalent to \\spad{seriesSolve(eq = 0,{} y,{} x = a,{} y a = b)}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq,{}y,{} x=a,{} b)} is equivalent to \\spad{seriesSolve(eq,{} y,{} x=a,{} y a = b)}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "\\spad{seriesSolve([eq1,{}...,{}eqn],{} [y1,{}...,{}yn],{} x = a,{}[y1 a = b1,{}...,{} yn a = bn])} is equivalent to \\spad{seriesSolve([eq1=0,{}...,{}eqn=0],{} [y1,{}...,{}yn],{} x = a,{} [y1 a = b1,{}...,{} yn a = bn])}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,{}...,{}eqn],{} [y1,{}...,{}yn],{} x=a,{} [b1,{}...,{}bn])} is equivalent to \\spad{seriesSolve([eq1=0,{}...,{}eqn=0],{} [y1,{}...,{}yn],{} x=a,{} [b1,{}...,{}bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,{}...,{}eqn],{} [y1,{}...,{}yn],{} x=a,{} [b1,{}...,{}bn])} is equivalent to \\spad{seriesSolve([eq1,{}...,{}eqn],{} [y1,{}...,{}yn],{} x = a,{} [y1 a = b1,{}...,{} yn a = bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "\\spad{seriesSolve([eq1,{}...,{}eqn],{}[y1,{}...,{}yn],{}x = a,{}[y1 a = b1,{}...,{}yn a = bn])} returns a taylor series solution of \\spad{[eq1,{}...,{}eqn]} around \\spad{x = a} with initial conditions \\spad{\\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 @@ -1207,7 +1207,7 @@ NIL (-319 FE |var| |cen|) ((|constructor| (NIL "ExponentialOfUnivariatePuiseuxSeries is a domain used to represent essential singularities of functions. An object in this domain is a function of the form \\spad{exp(f(x))},{} where \\spad{f(x)} is a Puiseux series with no terms of non-negative degree. Objects are ordered according to order of singularity,{} with functions which tend more rapidly to zero or infinity considered to be larger. Thus,{} if \\spad{order(f(x)) < order(g(x))},{} \\spadignore{i.e.} the first non-zero term of \\spad{f(x)} has lower degree than the first non-zero term of \\spad{g(x)},{} then \\spad{exp(f(x)) > exp(g(x))}. If \\spad{order(f(x)) = order(g(x))},{} then the ordering is essentially random. This domain is used in computing limits involving functions with essential singularities.")) (|exponentialOrder| (((|Fraction| (|Integer|)) $) "\\spad{exponentialOrder(exp(c * x **(-n) + ...))} returns \\spad{-n}. exponentialOrder(0) returns \\spad{0}.")) (|exponent| (((|UnivariatePuiseuxSeries| |#1| |#2| |#3|) $) "\\spad{exponent(exp(f(x)))} returns \\spad{f(x)}")) (|exponential| (($ (|UnivariatePuiseuxSeries| |#1| |#2| |#3|)) "\\spad{exponential(f(x))} returns \\spad{exp(f(x))}. Note: the function does NOT check that \\spad{f(x)} has no non-negative terms."))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4405 |has| |#1| (-363)) (-4399 |has| |#1| (-363)) (-4401 . T) (-4402 . T) (-4404 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2983) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -1559) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) (-320 M) ((|constructor| (NIL "computes various functions on factored arguments.")) (|log| (((|List| (|Record| (|:| |coef| (|NonNegativeInteger|)) (|:| |logand| |#1|))) (|Factored| |#1|)) "\\spad{log(f)} returns \\spad{[(a1,{}b1),{}...,{}(am,{}bm)]} such that the logarithm of \\spad{f} is equal to \\spad{a1*log(b1) + ... + am*log(bm)}.")) (|nthRoot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#1|) (|:| |radicand| (|List| |#1|))) (|Factored| |#1|) (|NonNegativeInteger|)) "\\spad{nthRoot(f,{} n)} returns \\spad{(p,{} r,{} [r1,{}...,{}rm])} such that the \\spad{n}th-root of \\spad{f} is equal to \\spad{r * \\spad{p}th-root(r1 * ... * rm)},{} where \\spad{r1},{}...,{}\\spad{rm} are distinct factors of \\spad{f},{} each of which has an exponent smaller than \\spad{p} in \\spad{f}."))) NIL @@ -1240,11 +1240,11 @@ 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."))) ((-4408 . T) (-4407 . T)) ((-2733 (-12 (|HasCategory| |#1| (QUOTE (-846))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) (-2733 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-858))))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (-2733 (|HasCategory| |#1| (QUOTE (-846))) (|HasCategory| |#1| (QUOTE (-1094)))) (|HasCategory| |#1| (QUOTE (-846))) (|HasCategory| (-564) (QUOTE (-846))) (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-858)))) (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|))))) -(-328 S -2312) +(-328 S -2313) ((|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 (-368)))) -(-329 -2312) +(-329 -2313) ((|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."))) ((-4399 . T) (-4405 . T) (-4400 . T) ((-4409 "*") . T) (-4401 . T) (-4402 . T) (-4404 . T)) NIL @@ -1264,15 +1264,15 @@ 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 -(-334 S -2312 UP UPUP R) +(-334 S -2313 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 -(-335 -2312 UP UPUP R) +(-335 -2313 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 -(-336 -2312 UP UPUP R) +(-336 -2313 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 @@ -1292,11 +1292,11 @@ 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 -(-341 S -2312 UP UPUP) +(-341 S -2313 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 (-368))) (|HasCategory| |#2| (QUOTE (-363)))) -(-342 -2312 UP UPUP) +(-342 -2313 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."))) ((-4400 |has| (-407 |#2|) (-363)) (-4405 |has| (-407 |#2|) (-363)) (-4399 |has| (-407 |#2|) (-363)) ((-4409 "*") . T) (-4401 . T) (-4402 . T) (-4404 . T)) NIL @@ -1328,7 +1328,7 @@ 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."))) ((-4399 . T) (-4405 . T) (-4400 . T) ((-4409 "*") . T) (-4401 . T) (-4402 . T) (-4404 . T)) NIL -(-350 R UP -2312) +(-350 R UP -2313) ((|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 @@ -1352,7 +1352,7 @@ 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."))) ((-4399 . T) (-4405 . T) (-4400 . T) ((-4409 "*") . T) (-4401 . T) (-4402 . T) (-4404 . T)) ((-2733 (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-368)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-145)))) -(-356 -2312 GF) +(-356 -2313 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 @@ -1360,7 +1360,7 @@ 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 -(-358 -2312 FP FPP) +(-358 -2313 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 @@ -1496,7 +1496,7 @@ 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 -(-392 -2312 UP UPUP R) +(-392 -2313 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 @@ -1524,7 +1524,7 @@ NIL ((|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 -(-399 -2312 UP) +(-399 -2313 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| $) "\\spad{p + x} returns the sum of \\spad{p} and \\spad{x}"))) NIL NIL @@ -1580,11 +1580,11 @@ NIL ((|constructor| (NIL "\\indented{1}{Lifting of morphisms to fractional ideals.} Author: Manuel Bronstein Date Created: 1 Feb 1989 Date Last Updated: 27 Feb 1990 Keywords: ideal,{} algebra,{} module.")) (|map| (((|FractionalIdeal| |#5| |#6| |#7| |#8|) (|Mapping| |#5| |#1|) (|FractionalIdeal| |#1| |#2| |#3| |#4|)) "\\spad{map(f,{}i)} \\undocumented{}"))) NIL NIL -(-413 R -2312 UP A) +(-413 R -2313 UP A) ((|constructor| (NIL "Fractional ideals in a framed algebra.")) (|randomLC| ((|#4| (|NonNegativeInteger|) (|Vector| |#4|)) "\\spad{randomLC(n,{}x)} should be local but conditional.")) (|minimize| (($ $) "\\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)}."))) ((-4404 . T)) NIL -(-414 R -2312 UP A |ibasis|) +(-414 R -2313 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 -1034) (|devaluate| |#2|)))) @@ -1632,7 +1632,7 @@ 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|) $) "\\spad{cardinality(u)} returns the number of elements of \\spad{u}. Note: \\axiom{cardinality(\\spad{u}) = \\#u}."))) ((-4407 . T) (-4397 . T) (-4408 . T)) NIL -(-426 R -2312) +(-426 R -2313) ((|constructor| (NIL "\\spadtype{FunctionSpaceComplexIntegration} provides functions for the indefinite integration of complex-valued functions.")) (|complexIntegrate| ((|#2| |#2| (|Symbol|)) "\\spad{complexIntegrate(f,{} x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable.")) (|internalIntegrate0| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate0 should} be a local function,{} but is conditional.")) (|internalIntegrate| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate(f,{} x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable."))) NIL NIL @@ -1640,7 +1640,7 @@ NIL ((|constructor| (NIL "\\indented{1}{Author: James Davenport} Date Created: 17 April 1992 Date Last Updated: Basic Functions: Related Constructors: Also See: AMS Classifications: Keywords: References: Description:")) (|makeCos| (($ |#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"))) ((-4394 -12 (|has| |#1| (-6 -4394)) (|has| |#2| (-6 -4394))) (-4401 . T) (-4402 . T) (-4404 . T)) ((-12 (|HasAttribute| |#1| (QUOTE -4394)) (|HasAttribute| |#2| (QUOTE -4394)))) -(-428 R -2312) +(-428 R -2313) ((|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 @@ -1652,15 +1652,15 @@ 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}."))) ((-4404 -2733 (|has| |#1| (-1045)) (|has| |#1| (-473))) (-4402 |has| |#1| (-172)) (-4401 |has| |#1| (-172)) ((-4409 "*") |has| |#1| (-556)) (-4400 |has| |#1| (-556)) (-4405 |has| |#1| (-556)) (-4399 |has| |#1| (-556))) NIL -(-431 R -2312) +(-431 R -2313) ((|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 -(-432 R -2312) +(-432 R -2313) ((|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)))) -(-433 R -2312) +(-433 R -2313) ((|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 @@ -1668,7 +1668,7 @@ 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 -(-435 R -2312 UP) +(-435 R -2313 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 -1034) (QUOTE (-48))))) @@ -1700,7 +1700,7 @@ 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 -(-443 R UP -2312) +(-443 R UP -2313) ((|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 @@ -1747,7 +1747,7 @@ NIL (-454 |vl| R E) ((|constructor| (NIL "\\indented{2}{This type supports distributed multivariate polynomials} whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is specified by its third parameter. Suggested types which define term orderings include: \\spadtype{DirectProduct},{} \\spadtype{HomogeneousDirectProduct},{} \\spadtype{SplitHomogeneousDirectProduct} and finally \\spadtype{OrderedDirectProduct} which accepts an arbitrary user function to define a term ordering.")) (|reorder| (($ $ (|List| (|Integer|))) "\\spad{reorder(p,{} perm)} applies the permutation perm to the variables in a polynomial and returns the new correctly ordered polynomial"))) (((-4409 "*") |has| |#2| (-172)) (-4400 |has| |#2| (-556)) (-4405 |has| |#2| (-6 -4405)) (-4402 . T) (-4401 . T) (-4404 . T)) -((|HasCategory| |#2| (QUOTE (-905))) (-2733 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-172))) (-2733 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-556)))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#2| (QUOTE (-846))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-145))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-363))) (|HasAttribute| |#2| (QUOTE -4405)) (|HasCategory| |#2| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-145))))) +((|HasCategory| |#2| (QUOTE (-905))) (-2733 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-172))) (-2733 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-556)))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-145))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-363))) (|HasAttribute| |#2| (QUOTE -4405)) (|HasCategory| |#2| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-145))))) (-455 R BP) ((|constructor| (NIL "\\indented{1}{Author : \\spad{P}.Gianni.} January 1990 The equation \\spad{Af+Bg=h} and its generalization to \\spad{n} polynomials is solved for solutions over the \\spad{R},{} euclidean domain. A table containing the solutions of \\spad{Af+Bg=x**k} is used. The operations are performed modulus a prime which are in principle big enough,{} but the solutions are tested and,{} in case of failure,{} a hensel lifting process is used to get to the right solutions. It will be used in the factorization of multivariate polynomials over finite field,{} with \\spad{R=F[x]}.")) (|testModulus| (((|Boolean|) |#1| (|List| |#2|)) "\\spad{testModulus(p,{}lp)} returns \\spad{true} if the the prime \\spad{p} is valid for the list of polynomials \\spad{lp},{} \\spadignore{i.e.} preserves the degree and they remain relatively prime.")) (|solveid| (((|Union| (|List| |#2|) "failed") |#2| |#1| (|Vector| (|List| |#2|))) "\\spad{solveid(h,{}table)} computes the coefficients of the extended euclidean algorithm for a list of polynomials whose tablePow is \\spad{table} and with right side \\spad{h}.")) (|tablePow| (((|Union| (|Vector| (|List| |#2|)) "failed") (|NonNegativeInteger|) |#1| (|List| |#2|)) "\\spad{tablePow(maxdeg,{}prime,{}lpol)} constructs the table with the coefficients of the Extended Euclidean Algorithm for \\spad{lpol}. Here the right side is \\spad{x**k},{} for \\spad{k} less or equal to \\spad{maxdeg}. The operation returns \"failed\" when the elements are not coprime modulo \\spad{prime}.")) (|compBound| (((|NonNegativeInteger|) |#2| (|List| |#2|)) "\\spad{compBound(p,{}lp)} computes a bound for the coefficients of the solution polynomials. Given a polynomial right hand side \\spad{p},{} and a list \\spad{lp} of left hand side polynomials. Exported because it depends on the valuation.")) (|reduction| ((|#2| |#2| |#1|) "\\spad{reduction(p,{}prime)} reduces the polynomial \\spad{p} modulo \\spad{prime} of \\spad{R}. Note: this function is exported only because it\\spad{'s} conditional."))) NIL @@ -1812,7 +1812,7 @@ 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 -(-471 |lv| -2312 R) +(-471 |lv| -2313 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 @@ -1827,7 +1827,7 @@ NIL (-474 |Coef| |var| |cen|) ((|constructor| (NIL "This is a category of univariate Puiseux series constructed from univariate Laurent series. A Puiseux series is represented by a pair \\spad{[r,{}f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x\\^r)}.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|UnivariatePuiseuxSeries| |#1| |#2| |#3|)) "\\spad{coerce(f)} converts a Puiseux series to a general power series.") (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Puiseux series."))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4405 |has| |#1| (-363)) (-4399 |has| |#1| (-363)) (-4401 . T) (-4402 . T) (-4404 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2983) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -1559) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) (-475 |Key| |Entry| |Tbl| |dent|) ((|constructor| (NIL "A sparse table has a default entry,{} which is returned if no other value has been explicitly stored for a key."))) ((-4408 . T)) @@ -1855,7 +1855,7 @@ NIL (-481 |vl| R) ((|constructor| (NIL "\\indented{2}{This type supports distributed multivariate polynomials} whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is total degree ordering refined by reverse lexicographic ordering with respect to the position that the variables appear in the list of variables parameter.")) (|reorder| (($ $ (|List| (|Integer|))) "\\spad{reorder(p,{} perm)} applies the permutation perm to the variables in a polynomial and returns the new correctly ordered polynomial"))) (((-4409 "*") |has| |#2| (-172)) (-4400 |has| |#2| (-556)) (-4405 |has| |#2| (-6 -4405)) (-4402 . T) (-4401 . T) (-4404 . T)) -((|HasCategory| |#2| (QUOTE (-905))) (-2733 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-172))) (-2733 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-556)))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#2| (QUOTE (-846))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-145))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-363))) (|HasAttribute| |#2| (QUOTE -4405)) (|HasCategory| |#2| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-145))))) +((|HasCategory| |#2| (QUOTE (-905))) (-2733 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-172))) (-2733 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-556)))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-145))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-363))) (|HasAttribute| |#2| (QUOTE -4405)) (|HasCategory| |#2| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-145))))) (-482 -3445 S) ((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying ordered component type. The vectors are ordered first by the sum of their components,{} and then refined using a reverse lexicographic ordering. This type is a suitable third argument for \\spadtype{GeneralDistributedMultivariatePolynomial}."))) ((-4401 |has| |#2| (-1045)) (-4402 |has| |#2| (-1045)) (-4404 |has| |#2| (-6 -4404)) ((-4409 "*") |has| |#2| (-172)) (-4407 . T)) @@ -1868,7 +1868,7 @@ 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}."))) ((-4407 . T) (-4408 . T)) ((-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1094))) (-2733 (-12 (|HasCategory| |#1| (QUOTE (-1094))) (|HasCategory| |#1| (LIST (QUOTE -309) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-858))))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-858))))) -(-485 -2312 UP UPUP R) +(-485 -2313 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 @@ -1904,7 +1904,7 @@ 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 -(-494 -2312 UP |AlExt| |AlPol|) +(-494 -2313 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 @@ -1924,7 +1924,7 @@ 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 -(-499 R UP -2312) +(-499 R UP -2313) ((|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| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}"))) NIL NIL @@ -1944,7 +1944,7 @@ NIL ((|constructor| (NIL "InnerCommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#4|) "\\spad{splitDenominator([q1,{}...,{}qn])} returns \\spad{[[p1,{}...,{}pn],{} d]} such that \\spad{\\spad{qi} = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|clearDenominator| ((|#3| |#4|) "\\spad{clearDenominator([q1,{}...,{}qn])} returns \\spad{[p1,{}...,{}pn]} such that \\spad{\\spad{qi} = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|commonDenominator| ((|#1| |#4|) "\\spad{commonDenominator([q1,{}...,{}qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}\\spad{qn}."))) NIL NIL -(-504 -2312 |Expon| |VarSet| |DPoly|) +(-504 -2313 |Expon| |VarSet| |DPoly|) ((|constructor| (NIL "This domain represents polynomial ideals with coefficients in any field and supports the basic ideal operations,{} including intersection sum and quotient. An ideal is represented by a list of polynomials (the generators of the ideal) and a boolean that is \\spad{true} if the generators are a Groebner basis. The algorithms used are based on Groebner basis computations. The ordering is determined by the datatype of the input polynomials. Users may use refinements of total degree orderings.")) (|relationsIdeal| (((|SuchThat| (|List| (|Polynomial| |#1|)) (|List| (|Equation| (|Polynomial| |#1|)))) (|List| |#4|)) "\\spad{relationsIdeal(polyList)} returns the ideal of relations among the polynomials in \\spad{polyList}.")) (|saturate| (($ $ |#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 -612) (QUOTE (-1170))))) @@ -2056,7 +2056,7 @@ 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 -(-532 K -2312 |Par|) +(-532 K -2313 |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 @@ -2080,7 +2080,7 @@ 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 -(-538 K -2312 |Par|) +(-538 K -2313 |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 @@ -2132,11 +2132,11 @@ NIL ((|constructor| (NIL "This domain is used to provide a conditional \"add\" domain for the implementation of \\spadtype{Table}."))) ((-4407 . T) (-4408 . T)) ((-12 (|HasCategory| (-2 (|:| -3026 |#1|) (|:| -3683 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -3026 |#1|) (|:| -3683 |#2|)) (LIST (QUOTE -309) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3026) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3683) (|devaluate| |#2|)))))) (-2733 (|HasCategory| (-2 (|:| -3026 |#1|) (|:| -3683 |#2|)) (QUOTE (-1094))) (|HasCategory| |#2| (QUOTE (-1094)))) (-2733 (|HasCategory| (-2 (|:| -3026 |#1|) (|:| -3683 |#2|)) (QUOTE (-1094))) (|HasCategory| (-2 (|:| -3026 |#1|) (|:| -3683 |#2|)) (LIST (QUOTE -611) (QUOTE (-858)))) (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-858))))) (|HasCategory| (-2 (|:| -3026 |#1|) (|:| -3683 |#2|)) (LIST (QUOTE -612) (QUOTE (-536)))) (-12 (|HasCategory| |#2| (QUOTE (-1094))) (|HasCategory| |#2| (LIST (QUOTE -309) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3026 |#1|) (|:| -3683 |#2|)) (QUOTE (-1094))) (|HasCategory| |#1| (QUOTE (-846))) (|HasCategory| |#2| (QUOTE (-1094))) (-2733 (|HasCategory| (-2 (|:| -3026 |#1|) (|:| -3683 |#2|)) (LIST (QUOTE -611) (QUOTE (-858)))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-858))))) (|HasCategory| |#2| (LIST (QUOTE -611) (QUOTE (-858)))) (|HasCategory| (-2 (|:| -3026 |#1|) (|:| -3683 |#2|)) (LIST (QUOTE -611) (QUOTE (-858))))) -(-551 R -2312) +(-551 R -2313) ((|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 -(-552 R0 -2312 UP UPUP R) +(-552 R0 -2313 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 @@ -2156,7 +2156,7 @@ 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."))) ((-4400 . T) ((-4409 "*") . T) (-4401 . T) (-4402 . T) (-4404 . T)) NIL -(-557 R -2312) +(-557 R -2313) ((|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 @@ -2168,7 +2168,7 @@ 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 -(-560 R -2312 L) +(-560 R -2313 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 -652) (|devaluate| |#2|)))) @@ -2176,11 +2176,11 @@ 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 -(-562 -2312 UP UPUP R) +(-562 -2313 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 -(-563 -2312 UP) +(-563 -2313 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 @@ -2192,15 +2192,15 @@ 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 -(-566 R -2312 L) +(-566 R -2313 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 -652) (|devaluate| |#2|)))) -(-567 R -2312) +(-567 R -2313) ((|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 -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-1133)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-627))))) -(-568 -2312 UP) +(-568 -2313 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 @@ -2208,7 +2208,7 @@ 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 -(-570 -2312) +(-570 -2313) ((|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 @@ -2220,15 +2220,15 @@ NIL ((|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 -(-573 R -2312) +(-573 R -2313) ((|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 -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-284))) (|HasCategory| |#2| (QUOTE (-627))) (|HasCategory| |#2| (LIST (QUOTE -1034) (QUOTE (-1170))))) (-12 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-284)))) (|HasCategory| |#1| (QUOTE (-556)))) -(-574 -2312 UP) +(-574 -2313 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 -(-575 R -2312) +(-575 R -2313) ((|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 @@ -2260,15 +2260,15 @@ 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 -(-583 R -2312) +(-583 R -2313) ((|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 -(-584 E -2312) +(-584 E -2313) ((|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 -(-585 -2312) +(-585 -2313) ((|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}."))) ((-4402 . T) (-4401 . T)) ((|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-1170))))) @@ -2320,7 +2320,7 @@ 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 -(-598 R -2312 FG) +(-598 R -2313 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 @@ -2380,7 +2380,7 @@ 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| $) "\\spad{convert(a)} transforms a into an element of \\spad{S}."))) NIL NIL -(-613 -2312 UP) +(-613 -2313 UP) ((|constructor| (NIL "\\spadtype{Kovacic} provides a modified Kovacic\\spad{'s} algorithm for solving explicitely irreducible 2nd order linear ordinary differential equations.")) (|kovacic| (((|Union| (|SparseUnivariatePolynomial| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{kovacic(a_0,{}a_1,{}a_2,{}ezfactor)} returns either \"failed\" or \\spad{P}(\\spad{u}) such that \\spad{\\$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 @@ -2408,7 +2408,7 @@ 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}."))) ((-4401 . T) (-4402 . T) (-4404 . T)) ((|HasCategory| |#1| (QUOTE (-844)))) -(-620 R -2312) +(-620 R -2313) ((|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 @@ -2440,11 +2440,11 @@ 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 -(-628 R -2312) +(-628 R -2313) ((|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 -(-629 |lv| -2312) +(-629 |lv| -2313) ((|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 @@ -2520,7 +2520,7 @@ 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 -(-648 R -2312 L) +(-648 R -2313 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 @@ -2540,11 +2540,11 @@ 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}."))) ((-4401 . T) (-4402 . T) (-4404 . T)) NIL -(-653 -2312 UP) +(-653 -2313 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)))) -(-654 A -1460) +(-654 A -3941) ((|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}}"))) ((-4401 . T) (-4402 . T) (-4404 . T)) ((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-363)))) @@ -2580,11 +2580,11 @@ 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}."))) ((-4408 . T) (-4407 . T)) NIL -(-663 -2312) +(-663 -2313) ((|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 -(-664 -2312 |Row| |Col| M) +(-664 -2313 |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 @@ -2680,7 +2680,7 @@ NIL ((|constructor| (NIL "This domain implements the notion of optional value,{} where a computation may fail to produce expected value.")) (|nothing| (($) "\\spad{nothing} represents failure or absence of value.")) (|autoCoerce| ((|#1| $) "\\spad{autoCoerce} is a courtesy coercion function used by the compiler in case it knows that \\spad{`x'} really is a \\spadtype{T}.")) (|case| (((|Boolean|) $ (|[\|\|]| |nothing|)) "\\spad{x case nothing} holds if the value for \\spad{x} is missing.") (((|Boolean|) $ (|[\|\|]| |#1|)) "\\spad{x case T} returns \\spad{true} if \\spad{x} is actually a data of type \\spad{T}.")) (|just| (($ |#1|) "\\spad{just x} injects the value \\spad{`x'} into \\%."))) NIL NIL -(-688 S -2312 FLAF FLAS) +(-688 S -2313 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 @@ -2690,8 +2690,8 @@ NIL NIL (-690) ((|constructor| (NIL "A domain which models the complex number representation used by machines in the AXIOM-NAG link.")) (|coerce| (((|Complex| (|Float|)) $) "\\spad{coerce(u)} transforms \\spad{u} into a COmplex Float") (($ (|Complex| (|MachineInteger|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|MachineFloat|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|Integer|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|Float|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex"))) -((-4400 . T) (-4405 |has| (-695) (-363)) (-4399 |has| (-695) (-363)) (-3593 . 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As for any dictionary,{} its size is assumed large so that copying (non-destructive) operations are generally to be avoided.")) (|duplicates| (((|List| (|Record| (|:| |entry| |#1|) (|:| |count| (|NonNegativeInteger|)))) $) "\\spad{duplicates(d)} returns a list of values which have duplicates in \\spad{d}")) (|removeDuplicates!| (($ $) "\\spad{removeDuplicates!(d)} destructively removes any duplicate values in dictionary \\spad{d}.")) (|insert!| (($ |#1| $ (|NonNegativeInteger|)) "\\spad{insert!(x,{}d,{}n)} destructively inserts \\spad{n} copies of \\spad{x} into dictionary \\spad{d}."))) ((-4408 . T)) @@ -2704,7 +2704,7 @@ 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 -(-694 OV E -2312 PG) +(-694 OV E -2313 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 @@ -2756,14 +2756,14 @@ NIL ((|constructor| (NIL "\\spadtype{MathMLFormat} provides a coercion from \\spadtype{OutputForm} to MathML format.")) (|display| (((|Void|) (|String|)) "prints the string returned by coerce,{} adding <math ...> tags.")) (|exprex| (((|String|) (|OutputForm|)) "coverts \\spadtype{OutputForm} to \\spadtype{String} with the structure preserved with braces. Actually this is not quite accurate. The function \\spadfun{precondition} is first applied to the \\spadtype{OutputForm} expression before \\spadfun{exprex}. The raw \\spadtype{OutputForm} and the nature of the \\spadfun{precondition} function is still obscure to me at the time of this writing (2007-02-14).")) (|coerceL| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format and displays result as one long string.")) (|coerceS| (((|String|) (|OutputForm|)) "\\spad{coerceS(o)} changes \\spad{o} in the standard output format to MathML format and displays formatted result.")) (|coerce| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format."))) NIL NIL -(-707 R |Mod| -3482 -2443 |exactQuo|) +(-707 R |Mod| -2713 -3600 |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. 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|#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-1145))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-368))) (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#1| (QUOTE (-233))) (|HasAttribute| |#1| (QUOTE -4405)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-145))))) (-709 IS E |ff|) ((|constructor| (NIL "This package \\undocumented")) (|construct| (($ |#1| |#2|) "\\spad{construct(i,{}e)} \\undocumented")) (|index| ((|#1| $) "\\spad{index(x)} \\undocumented")) (|exponent| ((|#2| $) "\\spad{exponent(x)} \\undocumented"))) NIL @@ -2772,7 +2772,7 @@ NIL ((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#1| (|FreeGroup| (|BasicOperator|))) "\\spad{makeop should} be local but conditional")) (|opeval| ((|#2| (|BasicOperator|) |#2|) "\\spad{opeval should} be local but conditional")) (** (($ $ (|Integer|)) "\\spad{op**n} \\undocumented") (($ (|BasicOperator|) (|Integer|)) "\\spad{op**n} \\undocumented")) (|evaluateInverse| (($ $ (|Mapping| |#2| |#2|)) "\\spad{evaluateInverse(x,{}f)} \\undocumented")) (|evaluate| (($ $ (|Mapping| |#2| |#2|)) "\\spad{evaluate(f,{} u +-> g u)} attaches the map \\spad{g} to \\spad{f}. \\spad{f} must be a basic operator \\spad{g} MUST be additive,{} \\spadignore{i.e.} \\spad{g(a + b) = g(a) + g(b)} for any \\spad{a},{} \\spad{b} in \\spad{M}. This implies that \\spad{g(n a) = n g(a)} for any \\spad{a} in \\spad{M} and integer \\spad{n > 0}.")) (|conjug| ((|#1| |#1|) "\\spad{conjug(x)}should be local but conditional")) (|adjoint| (($ $ $) "\\spad{adjoint(op1,{} op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) ((-4402 |has| |#1| (-172)) (-4401 |has| |#1| (-172)) (-4404 . T)) ((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147)))) -(-711 R |Mod| -3482 -2443 |exactQuo|) +(-711 R |Mod| -2713 -3600 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\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"))) ((-4404 . T)) NIL @@ -2784,7 +2784,7 @@ NIL ((|constructor| (NIL "The category of modules over a commutative ring. \\blankline"))) ((-4402 . T) (-4401 . T)) NIL -(-714 -2312) +(-714 -2313) ((|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]]}."))) ((-4404 . T)) NIL @@ -2820,7 +2820,7 @@ 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 -(-723 -2312 UP) +(-723 -2313 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 @@ -2839,7 +2839,7 @@ NIL (-727 |vl| R) ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials whose variables are from a user specified list of symbols. The ordering is specified by the position of the variable in the list. The coefficient ring may be non commutative,{} but the variables are assumed to commute."))) (((-4409 "*") |has| |#2| (-172)) (-4400 |has| |#2| (-556)) (-4405 |has| |#2| (-6 -4405)) (-4402 . T) (-4401 . T) (-4404 . T)) -((|HasCategory| |#2| (QUOTE (-905))) (-2733 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-172))) (-2733 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-556)))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#2| (QUOTE (-846))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-145))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-363))) (|HasAttribute| |#2| (QUOTE -4405)) (|HasCategory| |#2| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-145))))) +((|HasCategory| |#2| (QUOTE (-905))) (-2733 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-556))) (|HasCategory| |#2| (QUOTE (-172))) (-2733 (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#2| (QUOTE (-556)))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| (-860 |#1|) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#2| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-145))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#2| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-363))) (|HasAttribute| |#2| (QUOTE -4405)) (|HasCategory| |#2| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-905)))) (|HasCategory| |#2| (QUOTE (-145))))) (-728 E OV R PRF) ((|constructor| (NIL "\\indented{3}{This package exports a factor operation for multivariate polynomials} with coefficients which are rational functions over some ring \\spad{R} over which we can factor. It is used internally by packages such as primary decomposition which need to work with polynomials with rational function coefficients,{} \\spadignore{i.e.} themselves fractions of polynomials.")) (|factor| (((|Factored| |#4|) |#4|) "\\spad{factor(prf)} factors a polynomial with rational function coefficients.")) (|pushuconst| ((|#4| (|Fraction| (|Polynomial| |#3|)) |#2|) "\\spad{pushuconst(r,{}var)} takes a rational function and raises all occurances of the variable \\spad{var} to the polynomial level.")) (|pushucoef| ((|#4| (|SparseUnivariatePolynomial| (|Polynomial| |#3|)) |#2|) "\\spad{pushucoef(upoly,{}var)} converts the anonymous univariate polynomial \\spad{upoly} to a polynomial in \\spad{var} over rational functions.")) (|pushup| ((|#4| |#4| |#2|) "\\spad{pushup(prf,{}var)} raises all occurences of the variable \\spad{var} in the coefficients of the polynomial \\spad{prf} back to the polynomial level.")) (|pushdterm| ((|#4| (|SparseUnivariatePolynomial| |#4|) |#2|) "\\spad{pushdterm(monom,{}var)} pushes all top level occurences of the variable \\spad{var} into the coefficient domain for the monomial \\spad{monom}.")) (|pushdown| ((|#4| |#4| |#2|) "\\spad{pushdown(prf,{}var)} pushes all top level occurences of the variable \\spad{var} into the coefficient domain for the polynomial \\spad{prf}.")) (|totalfract| (((|Record| (|:| |sup| (|Polynomial| |#3|)) (|:| |inf| (|Polynomial| |#3|))) |#4|) "\\spad{totalfract(prf)} takes a polynomial whose coefficients are themselves fractions of polynomials and returns a record containing the numerator and denominator resulting from putting \\spad{prf} over a common denominator.")) (|convert| (((|Symbol|) $) "\\spad{convert(x)} converts \\spad{x} to a symbol"))) NIL @@ -2972,11 +2972,11 @@ 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 -(-761 -2312) +(-761 -2313) ((|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 -(-762 P -2312) +(-762 P -2313) ((|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 @@ -2984,7 +2984,7 @@ NIL NIL NIL NIL -(-764 UP -2312) +(-764 UP -2313) ((|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 @@ -3000,7 +3000,7 @@ 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."))) (((-4409 "*") . T)) NIL -(-768 R -2312) +(-768 R -2313) ((|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 @@ -3020,7 +3020,7 @@ 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 -(-773 -2312 |ExtF| |SUEx| |ExtP| |n|) +(-773 -2313 |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 @@ -3035,7 +3035,7 @@ NIL (-776 R |VarSet|) ((|constructor| (NIL "A post-facto extension for \\axiomType{\\spad{SMP}} in order to speed up operations related to pseudo-division and \\spad{gcd}. This domain is based on the \\axiomType{NSUP} constructor which is itself a post-facto extension of the \\axiomType{SUP} constructor."))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4405 |has| |#1| (-6 -4405)) (-4402 . T) (-4401 . T) (-4404 . T)) -((|HasCategory| |#1| (QUOTE (-905))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) 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(|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-1170))))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-363))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-1170))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-1170)))) (-2354 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-1170)))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-1170)))) (-2354 (|HasCategory| |#1| (QUOTE (-545)))) (-2354 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-1170)))) (-2354 (|HasCategory| |#1| (LIST (QUOTE -38) (QUOTE (-564))))) (-2354 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-1170)))) (-2354 (|HasCategory| |#1| (LIST (QUOTE -988) (QUOTE (-564))))))) (|HasAttribute| |#1| (QUOTE -4405)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-145))))) (-777 R S) ((|constructor| (NIL "This package lifts a mapping from coefficient rings \\spad{R} to \\spad{S} to a mapping from sparse univariate polynomial over \\spad{R} to a sparse univariate polynomial over \\spad{S}. Note that the mapping is assumed to send zero to zero,{} since it will only be applied to the non-zero coefficients of the polynomial.")) (|map| (((|NewSparseUnivariatePolynomial| |#2|) (|Mapping| |#2| |#1|) (|NewSparseUnivariatePolynomial| |#1|)) "\\axiom{map(func,{} poly)} creates a new polynomial by applying func to every non-zero coefficient of the polynomial poly."))) NIL @@ -3043,7 +3043,7 @@ NIL (-778 R) ((|constructor| (NIL "A post-facto extension for \\axiomType{SUP} in order to speed up operations related to pseudo-division and \\spad{gcd} for both \\axiomType{SUP} and,{} consequently,{} \\axiomType{NSMP}.")) (|halfExtendedResultant2| (((|Record| (|:| |resultant| |#1|) (|:| |coef2| $)) $ $) "\\axiom{halfExtendedResultant2(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} \\spad{cb}]}")) (|halfExtendedResultant1| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $)) $ $) "\\axiom{halfExtendedResultant1(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} \\spad{cb}]}")) (|extendedResultant| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{}\\spad{cb}]} such that \\axiom{\\spad{r}} is the resultant of \\axiom{a} and \\axiom{\\spad{b}} and \\axiom{\\spad{r} = ca * a + \\spad{cb} * \\spad{b}}")) (|halfExtendedSubResultantGcd2| (((|Record| (|:| |gcd| $) (|:| |coef2| $)) $ $) "\\axiom{halfExtendedSubResultantGcd2(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}\\spad{cb}]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]}")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{halfExtendedSubResultantGcd1(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]}")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]} such that \\axiom{\\spad{g}} is a \\spad{gcd} of \\axiom{a} and \\axiom{\\spad{b}} in \\axiom{\\spad{R^}(\\spad{-1}) \\spad{P}} and \\axiom{\\spad{g} = ca * a + \\spad{cb} * \\spad{b}}")) (|lastSubResultant| (($ $ $) "\\axiom{lastSubResultant(a,{}\\spad{b})} returns \\axiom{resultant(a,{}\\spad{b})} if \\axiom{a} and \\axiom{\\spad{b}} has no non-trivial \\spad{gcd} in \\axiom{\\spad{R^}(\\spad{-1}) \\spad{P}} otherwise the non-zero sub-resultant with smallest index.")) (|subResultantsChain| (((|List| $) $ $) "\\axiom{subResultantsChain(a,{}\\spad{b})} returns the list of the non-zero sub-resultants of \\axiom{a} and \\axiom{\\spad{b}} sorted by increasing degree.")) (|lazyPseudoQuotient| (($ $ $) "\\axiom{lazyPseudoQuotient(a,{}\\spad{b})} returns \\axiom{\\spad{q}} if \\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}")) (|lazyPseudoDivide| (((|Record| (|:| |coef| |#1|) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{\\spad{c^n} * a = \\spad{q*b} \\spad{+r}} and \\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} where \\axiom{\\spad{n} + \\spad{g} = max(0,{} degree(\\spad{b}) - degree(a) + 1)}.")) (|lazyPseudoRemainder| (($ $ $) "\\axiom{lazyPseudoRemainder(a,{}\\spad{b})} returns \\axiom{\\spad{r}} if \\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]}. This lazy pseudo-remainder is computed by means of the \\axiomOpFrom{fmecg}{NewSparseUnivariatePolynomial} operation.")) (|lazyResidueClass| (((|Record| (|:| |polnum| $) (|:| |polden| |#1|) (|:| |power| (|NonNegativeInteger|))) $ $) "\\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} such that \\axiom{\\spad{r}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{b}} divides \\axiom{\\spad{c^n} * a - \\spad{r}} where \\axiom{\\spad{c}} is \\axiom{leadingCoefficient(\\spad{b})} and \\axiom{\\spad{n}} is as small as possible with the previous properties.")) (|monicModulo| (($ $ $) "\\axiom{monicModulo(a,{}\\spad{b})} returns \\axiom{\\spad{r}} such that \\axiom{\\spad{r}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{b}} divides \\axiom{a \\spad{-r}} where \\axiom{\\spad{b}} is monic.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#1| $) "\\axiom{fmecg(\\spad{p1},{}\\spad{e},{}\\spad{r},{}\\spad{p2})} returns \\axiom{\\spad{p1} - \\spad{r} * X**e * \\spad{p2}} where \\axiom{\\spad{X}} is \\axiom{monomial(1,{}1)}"))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4403 |has| |#1| (-363)) (-4405 |has| |#1| (-6 -4405)) (-4402 . T) (-4401 . T) (-4404 . T)) -((|HasCategory| |#1| (QUOTE (-905))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (QUOTE (-846))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-1145))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-233))) (|HasAttribute| |#1| (QUOTE -4405)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-145))))) +((|HasCategory| |#1| (QUOTE (-905))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-1145))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-233))) (|HasAttribute| |#1| (QUOTE -4405)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-145))))) (-779 R) ((|constructor| (NIL "This package provides polynomials as functions on a ring.")) (|eulerE| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{eulerE(n,{}r)} \\undocumented")) (|bernoulliB| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{bernoulliB(n,{}r)} \\undocumented")) (|cyclotomic| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{cyclotomic(n,{}r)} \\undocumented"))) NIL @@ -3116,11 +3116,11 @@ 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 -(-797 R -2312 L) +(-797 R -2313 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 -(-798 R -2312) +(-798 R -2313) ((|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 @@ -3128,7 +3128,7 @@ 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 -(-800 R -2312) +(-800 R -2313) ((|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 @@ -3136,11 +3136,11 @@ 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 -(-802 -2312 UP UPUP R) +(-802 -2313 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 -(-803 -2312 UP L LQ) +(-803 -2313 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 @@ -3148,27 +3148,27 @@ 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 -(-805 -2312 UP L LQ) +(-805 -2313 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 -(-806 -2312 UP) +(-806 -2313 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 -(-807 -2312 L UP A LO) +(-807 -2313 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 -(-808 -2312 UP) +(-808 -2313 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)))) -(-809 -2312 LO) +(-809 -2313 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 -(-810 -2312 LODO) +(-810 -2313 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 @@ -3179,7 +3179,7 @@ NIL (-812 R) ((|constructor| (NIL "\\spadtype{OrderlyDifferentialPolynomial} implements an ordinary differential polynomial ring in arbitrary number of differential indeterminates,{} with coefficients in a ring. The ranking on the differential indeterminate is orderly. This is analogous to the domain \\spadtype{Polynomial}. \\blankline"))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4405 |has| |#1| (-6 -4405)) (-4402 . T) (-4401 . T) (-4404 . T)) -((|HasCategory| |#1| (QUOTE (-905))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| (-814 (-1170)) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| (-814 (-1170)) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| (-814 (-1170)) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| (-814 (-1170)) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| (-814 (-1170)) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (QUOTE (-846))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasAttribute| |#1| (QUOTE -4405)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-145))))) +((|HasCategory| |#1| (QUOTE (-905))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| (-814 (-1170)) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| (-814 (-1170)) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| (-814 (-1170)) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| (-814 (-1170)) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| (-814 (-1170)) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasAttribute| |#1| (QUOTE -4405)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-145))))) (-813 |Kernels| R |var|) ((|constructor| (NIL "This constructor produces an ordinary differential ring from a partial differential ring by specifying a variable."))) (((-4409 "*") |has| |#2| (-363)) (-4400 |has| |#2| (-363)) (-4405 |has| |#2| (-363)) (-4399 |has| |#2| (-363)) (-4404 . T) (-4402 . T) (-4401 . T)) @@ -3496,7 +3496,7 @@ 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 -(-892 UP -2312) +(-892 UP -2313) ((|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 @@ -3556,7 +3556,7 @@ 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."))) ((-4399 . T) (-4405 . T) (-4400 . T) ((-4409 "*") . T) (-4401 . T) (-4402 . T) (-4404 . T)) ((|HasCategory| $ (QUOTE (-147))) (|HasCategory| $ (QUOTE (-145))) (|HasCategory| $ (QUOTE (-368)))) -(-907 R0 -2312 UP UPUP R) +(-907 R0 -2313 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 @@ -3584,7 +3584,7 @@ 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 -(-914 -2312) +(-914 -2313) ((|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 @@ -3600,11 +3600,11 @@ 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}."))) (((-4409 "*") . T)) NIL -(-918 -2312 P) +(-918 -2313 P) ((|constructor| (NIL "This package exports interpolation algorithms")) (|LagrangeInterpolation| ((|#2| (|List| |#1|) (|List| |#1|)) "\\spad{LagrangeInterpolation(l1,{}l2)} \\undocumented"))) NIL NIL -(-919 |xx| -2312) +(-919 |xx| -2313) ((|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 @@ -3628,7 +3628,7 @@ NIL ((|constructor| (NIL "This package exports plotting tools")) (|calcRanges| (((|List| (|Segment| (|DoubleFloat|))) (|List| (|List| (|Point| (|DoubleFloat|))))) "\\spad{calcRanges(l)} \\undocumented"))) NIL NIL -(-925 R -2312) +(-925 R -2313) ((|constructor| (NIL "Attaching assertions to symbols for pattern matching; Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|multiple| ((|#2| |#2|) "\\spad{multiple(x)} tells the pattern matcher that \\spad{x} should preferably match a multi-term quantity in a sum or product. For matching on lists,{} multiple(\\spad{x}) tells the pattern matcher that \\spad{x} should match a list instead of an element of a list. Error: if \\spad{x} is not a symbol.")) (|optional| ((|#2| |#2|) "\\spad{optional(x)} tells the pattern matcher that \\spad{x} can match an identity (0 in a sum,{} 1 in a product or exponentiation). Error: if \\spad{x} is not a symbol.")) (|constant| ((|#2| |#2|) "\\spad{constant(x)} tells the pattern matcher that \\spad{x} should match only the symbol \\spad{'x} and no other quantity. Error: if \\spad{x} is not a symbol.")) (|assert| ((|#2| |#2| (|Identifier|)) "\\spad{assert(x,{} s)} makes the assertion \\spad{s} about \\spad{x}. Error: if \\spad{x} is not a symbol."))) NIL NIL @@ -3640,7 +3640,7 @@ 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 -(-928 S R -2312) +(-928 S R -2313) ((|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 @@ -3660,7 +3660,7 @@ NIL ((|constructor| (NIL "This package provides pattern matching functions on polynomials.")) (|patternMatch| (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|)) "\\spad{patternMatch(p,{} pat,{} res)} matches the pattern \\spad{pat} to the polynomial \\spad{p}; res contains the variables of \\spad{pat} which are already matched and their matches.") (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|) (|Mapping| (|PatternMatchResult| |#1| |#5|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|))) "\\spad{patternMatch(p,{} pat,{} res,{} vmatch)} matches the pattern \\spad{pat} to the polynomial \\spad{p}. \\spad{res} contains the variables of \\spad{pat} which are already matched and their matches; vmatch is the matching function to use on the variables."))) NIL ((|HasCategory| |#3| (LIST (QUOTE -882) (|devaluate| |#1|)))) -(-933 R -2312 -3922) +(-933 R -2313 -3922) ((|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 @@ -3707,12 +3707,12 @@ NIL (-944 S R E |VarSet|) ((|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| $) $) "\\spad{squareFree(p)} returns the square free factorization of the polynomial \\spad{p}.")) (|primitivePart| (($ $ |#4|) "\\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.") (($ $) "\\spad{primitivePart(p)} returns the unitCanonical associate of the polynomial \\spad{p} with its content divided out.")) (|content| (($ $ |#4|) "\\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| (($ $ |#4|) "\\spad{discriminant(p,{}v)} returns the disriminant of the polynomial \\spad{p} with respect to the variable \\spad{v}.")) (|resultant| (($ $ $ |#4|) "\\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| |#4|) $) "\\spad{variables(p)} returns the list of those variables actually appearing in the polynomial \\spad{p}.")) (|totalDegree| (((|NonNegativeInteger|) $ (|List| |#4|)) "\\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| |#4|) (|:| |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| $) |#4|) "\\spad{multivariate(sup,{}v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.") (($ (|SparseUnivariatePolynomial| |#2|) |#4|) "\\spad{multivariate(sup,{}v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.")) (|monomial| (($ $ (|List| |#4|) (|List| (|NonNegativeInteger|))) "\\spad{monomial(a,{}[v1..vn],{}[e1..en])} returns \\spad{a*prod(vi**ei)}.") (($ $ |#4| (|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| $)) $ $ |#4|) "\\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| |#4|)) "\\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|) $ |#4|) "\\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| |#4| "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| |#2|) $) "\\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| $) $ |#4|) "\\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| |#4|) (|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)}.") (($ $ |#4| (|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| |#4|)) "\\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|) $ |#4|) "\\spad{degree(p,{}v)} gives the degree of polynomial \\spad{p} with respect to the variable \\spad{v}."))) NIL -((|HasCategory| |#2| (QUOTE (-905))) (|HasAttribute| |#2| (QUOTE -4405)) (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#4| (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#4| (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#4| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#4| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#4| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (QUOTE (-846)))) +((|HasCategory| |#2| (QUOTE (-905))) (|HasAttribute| |#2| (QUOTE -4405)) (|HasCategory| |#2| (QUOTE (-452))) (|HasCategory| |#2| (QUOTE (-172))) (|HasCategory| |#4| (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#4| (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#4| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#4| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#4| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536))))) (-945 R E |VarSet|) ((|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}."))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4405 |has| |#1| (-6 -4405)) (-4402 . T) (-4401 . T) (-4404 . T)) NIL -(-946 E V R P -2312) +(-946 E V R P -2313) ((|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 @@ -3723,8 +3723,8 @@ NIL (-948 R) ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials whose variables are arbitrary symbols. The ordering is alphabetic determined by the Symbol type. The coefficient ring may be non commutative,{} but the variables are assumed to commute.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(p,{}x)} computes the integral of \\spad{p*dx},{} \\spadignore{i.e.} integrates the polynomial \\spad{p} with respect to the variable \\spad{x}."))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4405 |has| |#1| (-6 -4405)) (-4402 . T) (-4401 . T) (-4404 . T)) -((|HasCategory| |#1| (QUOTE (-905))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (QUOTE (-846))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-363))) (|HasAttribute| |#1| (QUOTE -4405)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-145))))) -(-949 E V R P -2312) +((|HasCategory| |#1| (QUOTE (-905))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| (-1170) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-363))) (|HasAttribute| |#1| (QUOTE -4405)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-145))))) +(-949 E V R P -2313) ((|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| $) "\\spad{numer(x)} \\undocumented"))) NIL ((|HasCategory| |#3| (QUOTE (-452)))) @@ -3752,7 +3752,7 @@ NIL ((|constructor| (NIL "Category for the functions defined by integrals.")) (|integral| (($ $ (|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 -(-956 -2312) +(-956 -2313) ((|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 @@ -3852,7 +3852,7 @@ 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 -(-981 K R UP -2312) +(-981 K R UP -2313) ((|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 @@ -3924,7 +3924,7 @@ 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 -(-999 -2312 UP UPUP |radicnd| |n|) +(-999 -2313 UP UPUP |radicnd| |n|) ((|constructor| (NIL "Function field defined by y**n = \\spad{f}(\\spad{x})."))) ((-4400 |has| (-407 |#2|) (-363)) (-4405 |has| (-407 |#2|) (-363)) (-4399 |has| (-407 |#2|) (-363)) ((-4409 "*") . T) (-4401 . T) (-4402 . T) (-4404 . T)) ((|HasCategory| (-407 |#2|) (QUOTE (-145))) (|HasCategory| (-407 |#2|) (QUOTE (-147))) (|HasCategory| (-407 |#2|) (QUOTE (-349))) (-2733 (|HasCategory| (-407 |#2|) (QUOTE (-363))) (|HasCategory| (-407 |#2|) (QUOTE (-349)))) (|HasCategory| (-407 |#2|) (QUOTE (-363))) (|HasCategory| (-407 |#2|) (QUOTE (-368))) (-2733 (-12 (|HasCategory| (-407 |#2|) (QUOTE (-233))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (|HasCategory| (-407 |#2|) (QUOTE (-349)))) (-2733 (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-349))))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -637) (QUOTE (-564)))) (-2733 (|HasCategory| (-407 |#2|) (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -1034) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-368))) (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (-12 (|HasCategory| (-407 |#2|) (QUOTE (-233))) (|HasCategory| (-407 |#2|) (QUOTE (-363))))) @@ -3964,19 +3964,19 @@ 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}}"))) ((-4400 . T) (-4405 . T) (-4399 . T) (-4402 . T) (-4401 . T) ((-4409 "*") . T) (-4404 . T)) NIL -(-1009 R -2312) +(-1009 R -2313) ((|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 -(-1010 R -2312) +(-1010 R -2313) ((|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 -(-1011 -2312 UP) +(-1011 -2313 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 -(-1012 -2312 UP) +(-1012 -2313 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 @@ -4012,7 +4012,7 @@ 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"))) ((-4400 . T) (-4405 . T) (-4399 . T) (-4402 . T) (-4401 . T) ((-4409 "*") . T) (-4404 . T)) ((-2733 (|HasCategory| (-407 (-564)) (LIST (QUOTE -1034) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (|HasCategory| (-407 (-564)) (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-407 (-564)) (LIST (QUOTE -1034) (QUOTE (-564))))) -(-1021 -2312 L) +(-1021 -2313 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 @@ -4048,7 +4048,7 @@ 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 -(-1030 -2312 |Expon| |VarSet| |FPol| |LFPol|) +(-1030 -2313 |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"))) (((-4409 "*") . T) (-4401 . T) (-4402 . T) (-4404 . T)) NIL @@ -4112,7 +4112,7 @@ 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."))) ((-4404 . T)) NIL -(-1046 |xx| -2312) +(-1046 |xx| -2313) ((|constructor| (NIL "This package exports rational interpolation algorithms"))) NIL NIL @@ -4208,11 +4208,11 @@ NIL ((|constructor| (NIL "This domain implements named rules")) (|name| (((|Symbol|) $) "\\spad{name(x)} returns the symbol"))) NIL NIL -(-1070 |Base| R -2312) +(-1070 |Base| R -2313) ((|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 -(-1071 |Base| R -2312) +(-1071 |Base| R -2313) ((|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 @@ -4255,7 +4255,7 @@ NIL (-1081 R) ((|constructor| (NIL "\\spadtype{SequentialDifferentialPolynomial} implements an ordinary differential polynomial ring in arbitrary number of differential indeterminates,{} with coefficients in a ring. The ranking on the differential indeterminate is sequential. \\blankline"))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4405 |has| |#1| (-6 -4405)) (-4402 . T) (-4401 . T) (-4404 . T)) -((|HasCategory| |#1| (QUOTE (-905))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| (-1082 (-1170)) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| (-1082 (-1170)) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| (-1082 (-1170)) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| (-1082 (-1170)) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| (-1082 (-1170)) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (QUOTE (-846))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasAttribute| |#1| (QUOTE -4405)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-145))))) +((|HasCategory| |#1| (QUOTE (-905))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| (-1082 (-1170)) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| (-1082 (-1170)) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| (-1082 (-1170)) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| (-1082 (-1170)) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| (-1082 (-1170)) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-233))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasAttribute| |#1| (QUOTE -4405)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-145))))) (-1082 S) ((|constructor| (NIL "\\spadtype{OrderlyDifferentialVariable} adds a commonly used sequential ranking to the set of derivatives of an ordered list of differential indeterminates. A sequential ranking is a ranking \\spadfun{<} of the derivatives with the property that for any derivative \\spad{v},{} there are only a finite number of derivatives \\spad{u} with \\spad{u} \\spadfun{<} \\spad{v}. This domain belongs to \\spadtype{DifferentialVariableCategory}. It defines \\spadfun{weight} to be just \\spadfun{order},{} and it defines a sequential ranking \\spadfun{<} on derivatives \\spad{u} by the lexicographic order on the pair (\\spadfun{variable}(\\spad{u}),{} \\spadfun{order}(\\spad{u}))."))) NIL @@ -4368,7 +4368,7 @@ 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 -(-1110 R -2312) +(-1110 R -2313) ((|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 @@ -4407,7 +4407,7 @@ NIL (-1119 R |VarSet|) ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials. It is parameterized by the coefficient ring and the variable set which may be infinite. The variable ordering is determined by the variable set parameter. The coefficient ring may be non-commutative,{} but the variables are assumed to commute."))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4405 |has| |#1| (-6 -4405)) (-4402 . T) (-4401 . T) (-4404 . T)) -((|HasCategory| |#1| (QUOTE (-905))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (QUOTE (-846))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-363))) (|HasAttribute| |#1| (QUOTE -4405)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-145))))) +((|HasCategory| |#1| (QUOTE (-905))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#2| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#2| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (-2733 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-363))) (|HasAttribute| |#1| (QUOTE -4405)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-145))))) (-1120 |Coef| |Var| SMP) ((|constructor| (NIL "This domain provides multivariate Taylor series with variables from an arbitrary ordered set. A Taylor series is represented by a stream of polynomials from the polynomial domain \\spad{SMP}. The \\spad{n}th element of the stream is a form of degree \\spad{n}. SMTS is an internal domain.")) (|fintegrate| (($ (|Mapping| $) |#2| |#1|) "\\spad{fintegrate(f,{}v,{}c)} is the integral of \\spad{f()} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.} \\indented{1}{The evaluation of \\spad{f()} is delayed.}")) (|integrate| (($ $ |#2| |#1|) "\\spad{integrate(s,{}v,{}c)} is the integral of \\spad{s} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.}")) (|csubst| (((|Mapping| (|Stream| |#3|) |#3|) (|List| |#2|) (|List| (|Stream| |#3|))) "\\spad{csubst(a,{}b)} is for internal use only")) (* (($ |#3| $) "\\spad{smp*ts} multiplies a TaylorSeries by a monomial \\spad{SMP}.")) (|coerce| (($ |#3|) "\\spad{coerce(poly)} regroups the terms by total degree and forms a series.") (($ |#2|) "\\spad{coerce(var)} converts a variable to a Taylor series")) (|coefficient| ((|#3| $ (|NonNegativeInteger|)) "\\spad{coefficient(s,{} n)} gives the terms of total degree \\spad{n}."))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4402 . T) (-4401 . T) (-4404 . T)) @@ -4416,7 +4416,7 @@ 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}"))) ((-4408 . T) (-4407 . T)) NIL -(-1122 UP -2312) +(-1122 UP -2313) ((|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 @@ -4575,8 +4575,8 @@ NIL (-1161 |Coef| |var| |cen|) ((|constructor| (NIL "Sparse Laurent series in one variable \\indented{2}{\\spadtype{SparseUnivariateLaurentSeries} is a domain representing Laurent} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariateLaurentSeries(Integer,{}x,{}3)} represents Laurent} \\indented{2}{series in \\spad{(x - 3)} with integer coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Laurent series."))) (((-4409 "*") -2733 (-2364 (|has| |#1| (-363)) (|has| (-1168 |#1| |#2| |#3|) (-816))) (|has| |#1| (-172)) (-2364 (|has| |#1| (-363)) (|has| (-1168 |#1| |#2| |#3|) (-905)))) (-4400 -2733 (-2364 (|has| |#1| (-363)) (|has| (-1168 |#1| |#2| |#3|) (-816))) (|has| |#1| (-556)) (-2364 (|has| |#1| (-363)) (|has| (-1168 |#1| |#2| |#3|) (-905)))) (-4405 |has| |#1| (-363)) (-4399 |has| |#1| (-363)) (-4401 . T) (-4402 . T) (-4404 . 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T)) -((|HasCategory| |#1| (QUOTE (-905))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -882) (QUOTE (-379)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-379))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -882) (QUOTE (-564)))) (|HasCategory| |#1| (LIST (QUOTE -882) (QUOTE (-564))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-379)))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -612) (LIST (QUOTE -888) (QUOTE (-564)))))) (-12 (|HasCategory| (-1076) (LIST (QUOTE -612) (QUOTE (-536)))) (|HasCategory| |#1| (LIST (QUOTE -612) (QUOTE (-536))))) (|HasCategory| |#1| (QUOTE (-846))) (|HasCategory| |#1| (LIST (QUOTE -637) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE 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(QUOTE (-905)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-1145))) (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| |#1| (QUOTE (-233))) (|HasAttribute| |#1| (QUOTE -4405)) (|HasCategory| |#1| (QUOTE (-452))) (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (-2733 (-12 (|HasCategory| $ (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-905)))) (|HasCategory| |#1| (QUOTE (-145))))) (-1167 |Coef| |var| |cen|) ((|constructor| (NIL "Sparse Puiseux series in one variable \\indented{2}{\\spadtype{SparseUnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariatePuiseuxSeries(Integer,{}x,{}3)} represents Puiseux} \\indented{2}{series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}."))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4405 |has| |#1| (-363)) (-4399 |has| |#1| (-363)) (-4401 . T) (-4402 . T) (-4404 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2983) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -1559) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) (-1168 |Coef| |var| |cen|) ((|constructor| (NIL "Sparse Taylor series in one variable \\indented{2}{\\spadtype{SparseUnivariateTaylorSeries} is a domain representing Taylor} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spadtype{SparseUnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor} \\indented{2}{series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),{}x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} computes the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,{}k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4401 . T) (-4402 . T) (-4404 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|)))) (|HasCategory| (-767) (QUOTE (-1106))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2983) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|)))) (|HasCategory| (-767) (QUOTE (-1106))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -1559) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) (-1169) ((|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 @@ -4720,7 +4720,7 @@ 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 -(-1198 R -2312) +(-1198 R -2313) ((|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 @@ -4728,7 +4728,7 @@ 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 -(-1200 R -2312) +(-1200 R -2313) ((|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 -612) (LIST (QUOTE -888) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -882) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -612) (LIST (QUOTE -888) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -882) (|devaluate| |#1|))))) @@ -4756,7 +4756,7 @@ 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 (-1094))) (|HasCategory| |#1| (LIST (QUOTE -611) (QUOTE (-858))))) -(-1207 -2312) +(-1207 -2313) ((|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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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 @@ -4859,7 +4859,7 @@ NIL (-1232 |x| R) ((|constructor| (NIL "This domain represents univariate polynomials in some symbol over arbitrary (not necessarily commutative) coefficient rings. The representation is sparse in the sense that only non-zero terms are represented.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#2| $) "\\spad{fmecg(p1,{}e,{}r,{}p2)} finds \\spad{X} : \\spad{p1} - \\spad{r} * X**e * \\spad{p2}"))) (((-4409 "*") |has| |#2| (-172)) (-4400 |has| |#2| (-556)) (-4403 |has| |#2| (-363)) (-4405 |has| |#2| (-6 -4405)) (-4402 . T) (-4401 . T) (-4404 . 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(|map| ((|#4| (|Mapping| |#3| |#1|) |#2|) "\\spad{map(f,{} p)} takes a function \\spad{f} from \\spad{R} to \\spad{S},{} and applies it to each (non-zero) coefficient of a polynomial \\spad{p} over \\spad{R},{} getting a new polynomial over \\spad{S}. Note: since the map is not applied to zero elements,{} it may map zero to zero."))) NIL @@ -4903,11 +4903,11 @@ NIL (-1243 |Coef| ULS) ((|constructor| (NIL "This package enables one to construct a univariate Puiseux series domain from a univariate Laurent series domain. Univariate Puiseux series are represented by a pair \\spad{[r,{}f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x^r)}."))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4405 |has| |#1| (-363)) (-4399 |has| |#1| (-363)) (-4401 . T) (-4402 . T) (-4404 . T)) -((|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2983) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) +((|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -1559) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-1244 |Coef| |var| |cen|) ((|constructor| (NIL "Dense Puiseux series in one variable \\indented{2}{\\spadtype{UnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{UnivariatePuiseuxSeries(Integer,{}x,{}3)} represents Puiseux series in} \\indented{2}{\\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}."))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4405 |has| |#1| (-363)) (-4399 |has| |#1| (-363)) (-4401 . T) (-4402 . T) (-4404 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2983) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -1559) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) (-1245 R FE |var| |cen|) ((|constructor| (NIL "UnivariatePuiseuxSeriesWithExponentialSingularity is a domain used to represent functions with essential singularities. Objects in this domain are sums,{} where each term in the sum is a univariate Puiseux series times the exponential of a univariate Puiseux series. Thus,{} the elements of this domain are sums of expressions of the form \\spad{g(x) * exp(f(x))},{} where \\spad{g}(\\spad{x}) is a univariate Puiseux series and \\spad{f}(\\spad{x}) is a univariate Puiseux series with no terms of non-negative degree.")) (|dominantTerm| (((|Union| (|Record| (|:| |%term| (|Record| (|:| |%coef| (|UnivariatePuiseuxSeries| |#2| |#3| |#4|)) (|:| |%expon| (|ExponentialOfUnivariatePuiseuxSeries| |#2| |#3| |#4|)) (|:| |%expTerms| (|List| (|Record| (|:| |k| (|Fraction| (|Integer|))) (|:| |c| |#2|)))))) (|:| |%type| (|String|))) "failed") $) "\\spad{dominantTerm(f(var))} returns the term that dominates the limiting behavior of \\spad{f(var)} as \\spad{var -> cen+} together with a \\spadtype{String} which briefly describes that behavior. The value of the \\spadtype{String} will be \\spad{\"zero\"} (resp. \\spad{\"infinity\"}) if the term tends to zero (resp. infinity) exponentially and will \\spad{\"series\"} if the term is a Puiseux series.")) (|limitPlus| (((|Union| (|OrderedCompletion| |#2|) "failed") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> cen+,{}f(var))}."))) (((-4409 "*") |has| (-1244 |#2| |#3| |#4|) (-172)) (-4400 |has| (-1244 |#2| |#3| |#4|) (-556)) (-4401 . T) (-4402 . T) (-4404 . T)) @@ -4927,7 +4927,7 @@ NIL (-1249 S |Coef|) ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (** (($ $ |#2|) "\\spad{f(x) ** a} computes a power of a power series. When the coefficient ring is a field,{} we may raise a series to an exponent from the coefficient ring provided that the constant coefficient of the series is 1.")) (|polynomial| (((|Polynomial| |#2|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k1,{}k2)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (((|Polynomial| |#2|) $ (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|multiplyCoefficients| (($ (|Mapping| |#2| (|Integer|)) $) "\\spad{multiplyCoefficients(f,{}sum(n = 0..infinity,{}a[n] * x**n))} returns \\spad{sum(n = 0..infinity,{}f(n) * a[n] * x**n)}. This function is used when Laurent series are represented by a Taylor series and an order.")) (|quoByVar| (($ $) "\\spad{quoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...} Thus,{} this function substracts the constant term and divides by the series variable. This function is used when Laurent series are represented by a Taylor series and an order.")) (|coefficients| (((|Stream| |#2|) $) "\\spad{coefficients(a0 + a1 x + a2 x**2 + ...)} returns a stream of coefficients: \\spad{[a0,{}a1,{}a2,{}...]}. The entries of the stream may be zero.")) (|series| (($ (|Stream| |#2|)) "\\spad{series([a0,{}a1,{}a2,{}...])} is the Taylor series \\spad{a0 + a1 x + a2 x**2 + ...}.") (($ (|Stream| (|Record| (|:| |k| (|NonNegativeInteger|)) (|:| |c| |#2|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents."))) NIL -((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-955))) (|HasCategory| |#2| (QUOTE (-1194))) (|HasSignature| |#2| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -2983) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1170))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-363)))) +((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-955))) (|HasCategory| |#2| (QUOTE (-1194))) (|HasSignature| |#2| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -1559) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1170))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-363)))) (-1250 |Coef|) ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (** (($ $ |#1|) "\\spad{f(x) ** a} computes a power of a power series. When the coefficient ring is a field,{} we may raise a series to an exponent from the coefficient ring provided that the constant coefficient of the series is 1.")) (|polynomial| (((|Polynomial| |#1|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k1,{}k2)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (((|Polynomial| |#1|) $ (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|multiplyCoefficients| (($ (|Mapping| |#1| (|Integer|)) $) "\\spad{multiplyCoefficients(f,{}sum(n = 0..infinity,{}a[n] * x**n))} returns \\spad{sum(n = 0..infinity,{}f(n) * a[n] * x**n)}. This function is used when Laurent series are represented by a Taylor series and an order.")) (|quoByVar| (($ $) "\\spad{quoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...} Thus,{} this function substracts the constant term and divides by the series variable. This function is used when Laurent series are represented by a Taylor series and an order.")) (|coefficients| (((|Stream| |#1|) $) "\\spad{coefficients(a0 + a1 x + a2 x**2 + ...)} returns a stream of coefficients: \\spad{[a0,{}a1,{}a2,{}...]}. The entries of the stream may be zero.")) (|series| (($ (|Stream| |#1|)) "\\spad{series([a0,{}a1,{}a2,{}...])} is the Taylor series \\spad{a0 + a1 x + a2 x**2 + ...}.") (($ (|Stream| (|Record| (|:| |k| (|NonNegativeInteger|)) (|:| |c| |#1|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents."))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4401 . T) (-4402 . T) (-4404 . T)) @@ -4935,12 +4935,12 @@ NIL (-1251 |Coef| |var| |cen|) ((|constructor| (NIL "Dense Taylor series in one variable \\spadtype{UnivariateTaylorSeries} is a domain representing Taylor series in one variable with coefficients in an arbitrary ring. The parameters of the type specify the coefficient ring,{} the power series variable,{} and the center of the power series expansion. For example,{} \\spadtype{UnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),{}x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|invmultisect| (($ (|Integer|) (|Integer|) $) "\\spad{invmultisect(a,{}b,{}f(x))} substitutes \\spad{x^((a+b)*n)} \\indented{1}{for \\spad{x^n} and multiples by \\spad{x^b}.}")) (|multisect| (($ (|Integer|) (|Integer|) $) "\\spad{multisect(a,{}b,{}f(x))} selects the coefficients of \\indented{1}{\\spad{x^((a+b)*n+a)},{} and changes this monomial to \\spad{x^n}.}")) (|revert| (($ $) "\\spad{revert(f(x))} returns a Taylor series \\spad{g(x)} such that \\spad{f(g(x)) = g(f(x)) = x}. Series \\spad{f(x)} should have constant coefficient 0 and 1st order coefficient 1.")) (|generalLambert| (($ $ (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),{}a,{}d)} returns \\spad{f(x^a) + f(x^(a + d)) + \\indented{1}{f(x^(a + 2 d)) + ... }. \\spad{f(x)} should have zero constant} \\indented{1}{coefficient and \\spad{a} and \\spad{d} should be positive.}")) (|evenlambert| (($ $) "\\spad{evenlambert(f(x))} returns \\spad{f(x^2) + f(x^4) + f(x^6) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,{}f(x^(2*n))) = exp(log(evenlambert(f(x))))}.}")) (|oddlambert| (($ $) "\\spad{oddlambert(f(x))} returns \\spad{f(x) + f(x^3) + f(x^5) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,{}f(x^(2*n-1)))=exp(log(oddlambert(f(x))))}.}")) (|lambert| (($ $) "\\spad{lambert(f(x))} returns \\spad{f(x) + f(x^2) + f(x^3) + ...}. \\indented{1}{This function is used for computing infinite products.} \\indented{1}{\\spad{f(x)} should have zero constant coefficient.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n = 1..infinity,{}f(x^n)) = exp(log(lambert(f(x))))}.}")) (|lagrange| (($ $) "\\spad{lagrange(g(x))} produces the Taylor series for \\spad{f(x)} \\indented{1}{where \\spad{f(x)} is implicitly defined as \\spad{f(x) = x*g(f(x))}.}")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} computes the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,{}k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4401 . T) (-4402 . T) (-4404 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|)))) (|HasCategory| (-767) (QUOTE (-1106))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -2983) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|)))) (|HasCategory| (-767) (QUOTE (-1106))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -1559) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) (-1252 |Coef| UTS) ((|constructor| (NIL "\\indented{1}{This package provides Taylor series solutions to regular} linear or non-linear ordinary differential equations of arbitrary order.")) (|mpsode| (((|List| |#2|) (|List| |#1|) (|List| (|Mapping| |#2| (|List| |#2|)))) "\\spad{mpsode(r,{}f)} solves the system of differential equations \\spad{dy[i]/dx =f[i] [x,{}y[1],{}y[2],{}...,{}y[n]]},{} \\spad{y[i](a) = r[i]} for \\spad{i} in 1..\\spad{n}.")) (|ode| ((|#2| (|Mapping| |#2| (|List| |#2|)) (|List| |#1|)) "\\spad{ode(f,{}cl)} is the solution to \\spad{y<n>=f(y,{}y',{}..,{}y<n-1>)} such that \\spad{y<i>(a) = cl.i} for \\spad{i} in 1..\\spad{n}.")) (|ode2| ((|#2| (|Mapping| |#2| |#2| |#2|) |#1| |#1|) "\\spad{ode2(f,{}c0,{}c1)} is the solution to \\spad{y'' = f(y,{}y')} such that \\spad{y(a) = c0} and \\spad{y'(a) = c1}.")) (|ode1| ((|#2| (|Mapping| |#2| |#2|) |#1|) "\\spad{ode1(f,{}c)} is the solution to \\spad{y' = f(y)} such that \\spad{y(a) = c}.")) (|fixedPointExquo| ((|#2| |#2| |#2|) "\\spad{fixedPointExquo(f,{}g)} computes the exact quotient of \\spad{f} and \\spad{g} using a fixed point computation.")) (|stFuncN| (((|Mapping| (|Stream| |#1|) (|List| (|Stream| |#1|))) (|Mapping| |#2| (|List| |#2|))) "\\spad{stFuncN(f)} is a local function xported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc2| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2| |#2|)) "\\spad{stFunc2(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc1| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2|)) "\\spad{stFunc1(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user."))) NIL NIL -(-1253 -2312 UP L UTS) +(-1253 -2313 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 (-556)))) @@ -5000,7 +5000,7 @@ 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 -(-1268 K R UP -2312) +(-1268 K R UP -2313) ((|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 @@ -5036,11 +5036,11 @@ 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| $) "\\spad{v * x} returns the product of a variable \\spad{x} by \\spad{x}."))) ((-4400 |has| |#2| (-6 -4400)) (-4402 . T) (-4401 . T) (-4404 . T)) NIL -(-1277 S -2312) +(-1277 S -2313) ((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|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|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}."))) NIL ((|HasCategory| |#2| (QUOTE (-368))) (|HasCategory| |#2| (QUOTE (-145))) (|HasCategory| |#2| (QUOTE (-147)))) -(-1278 -2312) +(-1278 -2313) ((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|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}."))) ((-4399 . T) (-4405 . T) (-4400 . T) ((-4409 "*") . T) (-4401 . T) (-4402 . T) (-4404 . T)) NIL @@ -5096,4 +5096,4 @@ NIL NIL NIL NIL -((-3 NIL 2283623 2283628 2283633 2283638) (-2 NIL 2283603 2283608 2283613 2283618) (-1 NIL 2283583 2283588 2283593 2283598) (0 NIL 2283563 2283568 2283573 2283578) (-1287 "ZMOD.spad" 2283372 2283385 2283501 2283558) (-1286 "ZLINDEP.spad" 2282416 2282427 2283362 2283367) (-1285 "ZDSOLVE.spad" 2272265 2272287 2282406 2282411) (-1284 "YSTREAM.spad" 2271758 2271769 2272255 2272260) (-1283 "XRPOLY.spad" 2270978 2270998 2271614 2271683) (-1282 "XPR.spad" 2268769 2268782 2270696 2270795) (-1281 "XPOLY.spad" 2268324 2268335 2268625 2268694) (-1280 "XPOLYC.spad" 2267641 2267657 2268250 2268319) (-1279 "XPBWPOLY.spad" 2266078 2266098 2267421 2267490) (-1278 "XF.spad" 2264539 2264554 2265980 2266073) (-1277 "XF.spad" 2262980 2262997 2264423 2264428) (-1276 "XFALG.spad" 2260004 2260020 2262906 2262975) (-1275 "XEXPPKG.spad" 2259255 2259281 2259994 2259999) (-1274 "XDPOLY.spad" 2258869 2258885 2259111 2259180) (-1273 "XALG.spad" 2258529 2258540 2258825 2258864) (-1272 "WUTSET.spad" 2254368 2254385 2258175 2258202) (-1271 "WP.spad" 2253567 2253611 2254226 2254293) (-1270 "WHILEAST.spad" 2253365 2253374 2253557 2253562) (-1269 "WHEREAST.spad" 2253036 2253045 2253355 2253360) (-1268 "WFFINTBS.spad" 2250599 2250621 2253026 2253031) (-1267 "WEIER.spad" 2248813 2248824 2250589 2250594) (-1266 "VSPACE.spad" 2248486 2248497 2248781 2248808) (-1265 "VSPACE.spad" 2248179 2248192 2248476 2248481) (-1264 "VOID.spad" 2247856 2247865 2248169 2248174) (-1263 "VIEW.spad" 2245478 2245487 2247846 2247851) (-1262 "VIEWDEF.spad" 2240675 2240684 2245468 2245473) (-1261 "VIEW3D.spad" 2224510 2224519 2240665 2240670) (-1260 "VIEW2D.spad" 2212247 2212256 2224500 2224505) (-1259 "VECTOR.spad" 2210922 2210933 2211173 2211200) (-1258 "VECTOR2.spad" 2209549 2209562 2210912 2210917) (-1257 "VECTCAT.spad" 2207449 2207460 2209517 2209544) (-1256 "VECTCAT.spad" 2205157 2205170 2207227 2207232) (-1255 "VARIABLE.spad" 2204937 2204952 2205147 2205152) (-1254 "UTYPE.spad" 2204581 2204590 2204927 2204932) (-1253 "UTSODETL.spad" 2203874 2203898 2204537 2204542) (-1252 "UTSODE.spad" 2202062 2202082 2203864 2203869) (-1251 "UTS.spad" 2196851 2196879 2200529 2200626) (-1250 "UTSCAT.spad" 2194302 2194318 2196749 2196846) (-1249 "UTSCAT.spad" 2191397 2191415 2193846 2193851) (-1248 "UTS2.spad" 2190990 2191025 2191387 2191392) (-1247 "URAGG.spad" 2185622 2185633 2190980 2190985) (-1246 "URAGG.spad" 2180218 2180231 2185578 2185583) (-1245 "UPXSSING.spad" 2177861 2177887 2179299 2179432) (-1244 "UPXS.spad" 2175009 2175037 2175993 2176142) (-1243 "UPXSCONS.spad" 2172766 2172786 2173141 2173290) (-1242 "UPXSCCA.spad" 2171331 2171351 2172612 2172761) (-1241 "UPXSCCA.spad" 2170038 2170060 2171321 2171326) (-1240 "UPXSCAT.spad" 2168619 2168635 2169884 2170033) (-1239 "UPXS2.spad" 2168160 2168213 2168609 2168614) (-1238 "UPSQFREE.spad" 2166572 2166586 2168150 2168155) (-1237 "UPSCAT.spad" 2164165 2164189 2166470 2166567) (-1236 "UPSCAT.spad" 2161464 2161490 2163771 2163776) (-1235 "UPOLYC.spad" 2156442 2156453 2161306 2161459) (-1234 "UPOLYC.spad" 2151312 2151325 2156178 2156183) (-1233 "UPOLYC2.spad" 2150781 2150800 2151302 2151307) (-1232 "UP.spad" 2147938 2147953 2148331 2148484) (-1231 "UPMP.spad" 2146828 2146841 2147928 2147933) (-1230 "UPDIVP.spad" 2146391 2146405 2146818 2146823) (-1229 "UPDECOMP.spad" 2144628 2144642 2146381 2146386) (-1228 "UPCDEN.spad" 2143835 2143851 2144618 2144623) (-1227 "UP2.spad" 2143197 2143218 2143825 2143830) (-1226 "UNISEG.spad" 2142550 2142561 2143116 2143121) (-1225 "UNISEG2.spad" 2142043 2142056 2142506 2142511) (-1224 "UNIFACT.spad" 2141144 2141156 2142033 2142038) (-1223 "ULS.spad" 2131696 2131724 2132789 2133218) (-1222 "ULSCONS.spad" 2124090 2124110 2124462 2124611) (-1221 "ULSCCAT.spad" 2121819 2121839 2123936 2124085) (-1220 "ULSCCAT.spad" 2119656 2119678 2121775 2121780) (-1219 "ULSCAT.spad" 2117872 2117888 2119502 2119651) (-1218 "ULS2.spad" 2117384 2117437 2117862 2117867) (-1217 "UINT8.spad" 2117261 2117270 2117374 2117379) (-1216 "UINT64.spad" 2117137 2117146 2117251 2117256) (-1215 "UINT32.spad" 2117013 2117022 2117127 2117132) (-1214 "UINT16.spad" 2116889 2116898 2117003 2117008) (-1213 "UFD.spad" 2115954 2115963 2116815 2116884) (-1212 "UFD.spad" 2115081 2115092 2115944 2115949) (-1211 "UDVO.spad" 2113928 2113937 2115071 2115076) (-1210 "UDPO.spad" 2111355 2111366 2113884 2113889) (-1209 "TYPE.spad" 2111287 2111296 2111345 2111350) (-1208 "TYPEAST.spad" 2111206 2111215 2111277 2111282) (-1207 "TWOFACT.spad" 2109856 2109871 2111196 2111201) (-1206 "TUPLE.spad" 2109340 2109351 2109755 2109760) (-1205 "TUBETOOL.spad" 2106177 2106186 2109330 2109335) (-1204 "TUBE.spad" 2104818 2104835 2106167 2106172) (-1203 "TS.spad" 2103407 2103423 2104383 2104480) (-1202 "TSETCAT.spad" 2090534 2090551 2103375 2103402) (-1201 "TSETCAT.spad" 2077647 2077666 2090490 2090495) (-1200 "TRMANIP.spad" 2072013 2072030 2077353 2077358) (-1199 "TRIMAT.spad" 2070972 2070997 2072003 2072008) (-1198 "TRIGMNIP.spad" 2069489 2069506 2070962 2070967) (-1197 "TRIGCAT.spad" 2069001 2069010 2069479 2069484) (-1196 "TRIGCAT.spad" 2068511 2068522 2068991 2068996) (-1195 "TREE.spad" 2067082 2067093 2068118 2068145) (-1194 "TRANFUN.spad" 2066913 2066922 2067072 2067077) (-1193 "TRANFUN.spad" 2066742 2066753 2066903 2066908) (-1192 "TOPSP.spad" 2066416 2066425 2066732 2066737) (-1191 "TOOLSIGN.spad" 2066079 2066090 2066406 2066411) (-1190 "TEXTFILE.spad" 2064636 2064645 2066069 2066074) (-1189 "TEX.spad" 2061768 2061777 2064626 2064631) (-1188 "TEX1.spad" 2061324 2061335 2061758 2061763) (-1187 "TEMUTL.spad" 2060879 2060888 2061314 2061319) (-1186 "TBCMPPK.spad" 2058972 2058995 2060869 2060874) (-1185 "TBAGG.spad" 2058008 2058031 2058952 2058967) (-1184 "TBAGG.spad" 2057052 2057077 2057998 2058003) (-1183 "TANEXP.spad" 2056428 2056439 2057042 2057047) (-1182 "TABLE.spad" 2054839 2054862 2055109 2055136) (-1181 "TABLEAU.spad" 2054320 2054331 2054829 2054834) (-1180 "TABLBUMP.spad" 2051103 2051114 2054310 2054315) (-1179 "SYSTEM.spad" 2050331 2050340 2051093 2051098) (-1178 "SYSSOLP.spad" 2047804 2047815 2050321 2050326) (-1177 "SYSNNI.spad" 2046984 2046995 2047794 2047799) (-1176 "SYSINT.spad" 2046388 2046399 2046974 2046979) (-1175 "SYNTAX.spad" 2042582 2042591 2046378 2046383) (-1174 "SYMTAB.spad" 2040638 2040647 2042572 2042577) (-1173 "SYMS.spad" 2036623 2036632 2040628 2040633) (-1172 "SYMPOLY.spad" 2035630 2035641 2035712 2035839) (-1171 "SYMFUNC.spad" 2035105 2035116 2035620 2035625) (-1170 "SYMBOL.spad" 2032532 2032541 2035095 2035100) (-1169 "SWITCH.spad" 2029289 2029298 2032522 2032527) (-1168 "SUTS.spad" 2026188 2026216 2027756 2027853) (-1167 "SUPXS.spad" 2023323 2023351 2024320 2024469) (-1166 "SUP.spad" 2020092 2020103 2020873 2021026) (-1165 "SUPFRACF.spad" 2019197 2019215 2020082 2020087) (-1164 "SUP2.spad" 2018587 2018600 2019187 2019192) (-1163 "SUMRF.spad" 2017553 2017564 2018577 2018582) (-1162 "SUMFS.spad" 2017186 2017203 2017543 2017548) (-1161 "SULS.spad" 2007725 2007753 2008831 2009260) (-1160 "SUCHTAST.spad" 2007494 2007503 2007715 2007720) (-1159 "SUCH.spad" 2007174 2007189 2007484 2007489) (-1158 "SUBSPACE.spad" 1999181 1999196 2007164 2007169) (-1157 "SUBRESP.spad" 1998341 1998355 1999137 1999142) (-1156 "STTF.spad" 1994440 1994456 1998331 1998336) (-1155 "STTFNC.spad" 1990908 1990924 1994430 1994435) (-1154 "STTAYLOR.spad" 1983306 1983317 1990789 1990794) (-1153 "STRTBL.spad" 1981811 1981828 1981960 1981987) (-1152 "STRING.spad" 1981220 1981229 1981234 1981261) (-1151 "STRICAT.spad" 1981008 1981017 1981188 1981215) (-1150 "STREAM.spad" 1977866 1977877 1980533 1980548) (-1149 "STREAM3.spad" 1977411 1977426 1977856 1977861) (-1148 "STREAM2.spad" 1976479 1976492 1977401 1977406) (-1147 "STREAM1.spad" 1976183 1976194 1976469 1976474) (-1146 "STINPROD.spad" 1975089 1975105 1976173 1976178) (-1145 "STEP.spad" 1974290 1974299 1975079 1975084) (-1144 "STBL.spad" 1972816 1972844 1972983 1972998) (-1143 "STAGG.spad" 1971891 1971902 1972806 1972811) (-1142 "STAGG.spad" 1970964 1970977 1971881 1971886) (-1141 "STACK.spad" 1970315 1970326 1970571 1970598) (-1140 "SREGSET.spad" 1968019 1968036 1969961 1969988) (-1139 "SRDCMPK.spad" 1966564 1966584 1968009 1968014) (-1138 "SRAGG.spad" 1961661 1961670 1966532 1966559) (-1137 "SRAGG.spad" 1956778 1956789 1961651 1961656) (-1136 "SQMATRIX.spad" 1954394 1954412 1955310 1955397) (-1135 "SPLTREE.spad" 1948946 1948959 1953830 1953857) (-1134 "SPLNODE.spad" 1945534 1945547 1948936 1948941) (-1133 "SPFCAT.spad" 1944311 1944320 1945524 1945529) (-1132 "SPECOUT.spad" 1942861 1942870 1944301 1944306) (-1131 "SPADXPT.spad" 1935000 1935009 1942851 1942856) (-1130 "spad-parser.spad" 1934465 1934474 1934990 1934995) (-1129 "SPADAST.spad" 1934166 1934175 1934455 1934460) (-1128 "SPACEC.spad" 1918179 1918190 1934156 1934161) (-1127 "SPACE3.spad" 1917955 1917966 1918169 1918174) (-1126 "SORTPAK.spad" 1917500 1917513 1917911 1917916) (-1125 "SOLVETRA.spad" 1915257 1915268 1917490 1917495) (-1124 "SOLVESER.spad" 1913777 1913788 1915247 1915252) (-1123 "SOLVERAD.spad" 1909787 1909798 1913767 1913772) (-1122 "SOLVEFOR.spad" 1908207 1908225 1909777 1909782) (-1121 "SNTSCAT.spad" 1907807 1907824 1908175 1908202) (-1120 "SMTS.spad" 1906067 1906093 1907372 1907469) (-1119 "SMP.spad" 1903506 1903526 1903896 1904023) (-1118 "SMITH.spad" 1902349 1902374 1903496 1903501) (-1117 "SMATCAT.spad" 1900459 1900489 1902293 1902344) (-1116 "SMATCAT.spad" 1898501 1898533 1900337 1900342) (-1115 "SKAGG.spad" 1897462 1897473 1898469 1898496) (-1114 "SINT.spad" 1896288 1896297 1897328 1897457) (-1113 "SIMPAN.spad" 1896016 1896025 1896278 1896283) (-1112 "SIG.spad" 1895344 1895353 1896006 1896011) (-1111 "SIGNRF.spad" 1894452 1894463 1895334 1895339) (-1110 "SIGNEF.spad" 1893721 1893738 1894442 1894447) (-1109 "SIGAST.spad" 1893102 1893111 1893711 1893716) (-1108 "SHP.spad" 1891020 1891035 1893058 1893063) (-1107 "SHDP.spad" 1880731 1880758 1881240 1881371) (-1106 "SGROUP.spad" 1880339 1880348 1880721 1880726) (-1105 "SGROUP.spad" 1879945 1879956 1880329 1880334) (-1104 "SGCF.spad" 1872826 1872835 1879935 1879940) (-1103 "SFRTCAT.spad" 1871754 1871771 1872794 1872821) (-1102 "SFRGCD.spad" 1870817 1870837 1871744 1871749) (-1101 "SFQCMPK.spad" 1865454 1865474 1870807 1870812) (-1100 "SFORT.spad" 1864889 1864903 1865444 1865449) (-1099 "SEXOF.spad" 1864732 1864772 1864879 1864884) (-1098 "SEX.spad" 1864624 1864633 1864722 1864727) (-1097 "SEXCAT.spad" 1862175 1862215 1864614 1864619) (-1096 "SET.spad" 1860475 1860486 1861596 1861635) (-1095 "SETMN.spad" 1858909 1858926 1860465 1860470) (-1094 "SETCAT.spad" 1858231 1858240 1858899 1858904) (-1093 "SETCAT.spad" 1857551 1857562 1858221 1858226) (-1092 "SETAGG.spad" 1854072 1854083 1857531 1857546) (-1091 "SETAGG.spad" 1850601 1850614 1854062 1854067) (-1090 "SEQAST.spad" 1850304 1850313 1850591 1850596) (-1089 "SEGXCAT.spad" 1849426 1849439 1850294 1850299) (-1088 "SEG.spad" 1849239 1849250 1849345 1849350) (-1087 "SEGCAT.spad" 1848146 1848157 1849229 1849234) (-1086 "SEGBIND.spad" 1847218 1847229 1848101 1848106) (-1085 "SEGBIND2.spad" 1846914 1846927 1847208 1847213) (-1084 "SEGAST.spad" 1846628 1846637 1846904 1846909) (-1083 "SEG2.spad" 1846053 1846066 1846584 1846589) (-1082 "SDVAR.spad" 1845329 1845340 1846043 1846048) (-1081 "SDPOL.spad" 1842719 1842730 1843010 1843137) (-1080 "SCPKG.spad" 1840798 1840809 1842709 1842714) (-1079 "SCOPE.spad" 1839947 1839956 1840788 1840793) (-1078 "SCACHE.spad" 1838629 1838640 1839937 1839942) (-1077 "SASTCAT.spad" 1838538 1838547 1838619 1838624) (-1076 "SAOS.spad" 1838410 1838419 1838528 1838533) (-1075 "SAERFFC.spad" 1838123 1838143 1838400 1838405) (-1074 "SAE.spad" 1836298 1836314 1836909 1837044) (-1073 "SAEFACT.spad" 1835999 1836019 1836288 1836293) (-1072 "RURPK.spad" 1833640 1833656 1835989 1835994) (-1071 "RULESET.spad" 1833081 1833105 1833630 1833635) (-1070 "RULE.spad" 1831285 1831309 1833071 1833076) (-1069 "RULECOLD.spad" 1831137 1831150 1831275 1831280) (-1068 "RTVALUE.spad" 1830870 1830879 1831127 1831132) (-1067 "RSTRCAST.spad" 1830587 1830596 1830860 1830865) (-1066 "RSETGCD.spad" 1826965 1826985 1830577 1830582) (-1065 "RSETCAT.spad" 1816749 1816766 1826933 1826960) (-1064 "RSETCAT.spad" 1806553 1806572 1816739 1816744) (-1063 "RSDCMPK.spad" 1805005 1805025 1806543 1806548) (-1062 "RRCC.spad" 1803389 1803419 1804995 1805000) (-1061 "RRCC.spad" 1801771 1801803 1803379 1803384) (-1060 "RPTAST.spad" 1801473 1801482 1801761 1801766) (-1059 "RPOLCAT.spad" 1780833 1780848 1801341 1801468) (-1058 "RPOLCAT.spad" 1759907 1759924 1780417 1780422) (-1057 "ROUTINE.spad" 1755770 1755779 1758554 1758581) (-1056 "ROMAN.spad" 1755098 1755107 1755636 1755765) (-1055 "ROIRC.spad" 1754178 1754210 1755088 1755093) (-1054 "RNS.spad" 1753081 1753090 1754080 1754173) (-1053 "RNS.spad" 1752070 1752081 1753071 1753076) (-1052 "RNG.spad" 1751805 1751814 1752060 1752065) (-1051 "RMODULE.spad" 1751443 1751454 1751795 1751800) (-1050 "RMCAT2.spad" 1750851 1750908 1751433 1751438) (-1049 "RMATRIX.spad" 1749675 1749694 1750018 1750057) (-1048 "RMATCAT.spad" 1745208 1745239 1749631 1749670) (-1047 "RMATCAT.spad" 1740631 1740664 1745056 1745061) (-1046 "RINTERP.spad" 1740519 1740539 1740621 1740626) (-1045 "RING.spad" 1739989 1739998 1740499 1740514) (-1044 "RING.spad" 1739467 1739478 1739979 1739984) (-1043 "RIDIST.spad" 1738851 1738860 1739457 1739462) (-1042 "RGCHAIN.spad" 1737430 1737446 1738336 1738363) (-1041 "RGBCSPC.spad" 1737211 1737223 1737420 1737425) (-1040 "RGBCMDL.spad" 1736741 1736753 1737201 1737206) (-1039 "RF.spad" 1734355 1734366 1736731 1736736) (-1038 "RFFACTOR.spad" 1733817 1733828 1734345 1734350) (-1037 "RFFACT.spad" 1733552 1733564 1733807 1733812) (-1036 "RFDIST.spad" 1732540 1732549 1733542 1733547) (-1035 "RETSOL.spad" 1731957 1731970 1732530 1732535) (-1034 "RETRACT.spad" 1731385 1731396 1731947 1731952) (-1033 "RETRACT.spad" 1730811 1730824 1731375 1731380) (-1032 "RETAST.spad" 1730623 1730632 1730801 1730806) (-1031 "RESULT.spad" 1728683 1728692 1729270 1729297) (-1030 "RESRING.spad" 1728030 1728077 1728621 1728678) (-1029 "RESLATC.spad" 1727354 1727365 1728020 1728025) (-1028 "REPSQ.spad" 1727083 1727094 1727344 1727349) (-1027 "REP.spad" 1724635 1724644 1727073 1727078) (-1026 "REPDB.spad" 1724340 1724351 1724625 1724630) (-1025 "REP2.spad" 1713912 1713923 1724182 1724187) (-1024 "REP1.spad" 1707902 1707913 1713862 1713867) (-1023 "REGSET.spad" 1705699 1705716 1707548 1707575) (-1022 "REF.spad" 1705028 1705039 1705654 1705659) (-1021 "REDORDER.spad" 1704204 1704221 1705018 1705023) (-1020 "RECLOS.spad" 1702987 1703007 1703691 1703784) (-1019 "REALSOLV.spad" 1702119 1702128 1702977 1702982) (-1018 "REAL.spad" 1701991 1702000 1702109 1702114) (-1017 "REAL0Q.spad" 1699273 1699288 1701981 1701986) (-1016 "REAL0.spad" 1696101 1696116 1699263 1699268) (-1015 "RDUCEAST.spad" 1695822 1695831 1696091 1696096) (-1014 "RDIV.spad" 1695473 1695498 1695812 1695817) (-1013 "RDIST.spad" 1695036 1695047 1695463 1695468) (-1012 "RDETRS.spad" 1693832 1693850 1695026 1695031) (-1011 "RDETR.spad" 1691939 1691957 1693822 1693827) (-1010 "RDEEFS.spad" 1691012 1691029 1691929 1691934) (-1009 "RDEEF.spad" 1690008 1690025 1691002 1691007) (-1008 "RCFIELD.spad" 1687194 1687203 1689910 1690003) (-1007 "RCFIELD.spad" 1684466 1684477 1687184 1687189) (-1006 "RCAGG.spad" 1682378 1682389 1684456 1684461) (-1005 "RCAGG.spad" 1680217 1680230 1682297 1682302) (-1004 "RATRET.spad" 1679577 1679588 1680207 1680212) (-1003 "RATFACT.spad" 1679269 1679281 1679567 1679572) (-1002 "RANDSRC.spad" 1678588 1678597 1679259 1679264) (-1001 "RADUTIL.spad" 1678342 1678351 1678578 1678583) (-1000 "RADIX.spad" 1675243 1675257 1676809 1676902) (-999 "RADFF.spad" 1673657 1673693 1673775 1673931) (-998 "RADCAT.spad" 1673251 1673259 1673647 1673652) (-997 "RADCAT.spad" 1672843 1672853 1673241 1673246) (-996 "QUEUE.spad" 1672186 1672196 1672450 1672477) (-995 "QUAT.spad" 1670768 1670778 1671110 1671175) (-994 "QUATCT2.spad" 1670387 1670405 1670758 1670763) (-993 "QUATCAT.spad" 1668552 1668562 1670317 1670382) (-992 "QUATCAT.spad" 1666468 1666480 1668235 1668240) (-991 "QUAGG.spad" 1665294 1665304 1666436 1666463) (-990 "QQUTAST.spad" 1665063 1665071 1665284 1665289) (-989 "QFORM.spad" 1664526 1664540 1665053 1665058) (-988 "QFCAT.spad" 1663229 1663239 1664428 1664521) (-987 "QFCAT.spad" 1661523 1661535 1662724 1662729) (-986 "QFCAT2.spad" 1661214 1661230 1661513 1661518) (-985 "QEQUAT.spad" 1660771 1660779 1661204 1661209) (-984 "QCMPACK.spad" 1655518 1655537 1660761 1660766) (-983 "QALGSET.spad" 1651593 1651625 1655432 1655437) (-982 "QALGSET2.spad" 1649589 1649607 1651583 1651588) (-981 "PWFFINTB.spad" 1646899 1646920 1649579 1649584) (-980 "PUSHVAR.spad" 1646228 1646247 1646889 1646894) (-979 "PTRANFN.spad" 1642354 1642364 1646218 1646223) (-978 "PTPACK.spad" 1639442 1639452 1642344 1642349) (-977 "PTFUNC2.spad" 1639263 1639277 1639432 1639437) (-976 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"FORMULA.spad" 645912 645920 648438 648443) (-393 "FORMULA1.spad" 645391 645401 645902 645907) (-392 "FORDER.spad" 645082 645106 645381 645386) (-391 "FOP.spad" 644283 644291 645072 645077) (-390 "FNLA.spad" 643707 643729 644251 644278) (-389 "FNCAT.spad" 642294 642302 643697 643702) (-388 "FNAME.spad" 642186 642194 642284 642289) (-387 "FMTC.spad" 641984 641992 642112 642181) (-386 "FMONOID.spad" 639039 639049 641940 641945) (-385 "FM.spad" 638734 638746 638973 639000) (-384 "FMFUN.spad" 635764 635772 638724 638729) (-383 "FMC.spad" 634816 634824 635754 635759) (-382 "FMCAT.spad" 632470 632488 634784 634811) (-381 "FM1.spad" 631827 631839 632404 632431) (-380 "FLOATRP.spad" 629548 629562 631817 631822) (-379 "FLOAT.spad" 622836 622844 629414 629543) (-378 "FLOATCP.spad" 620253 620267 622826 622831) (-377 "FLINEXP.spad" 619965 619975 620233 620248) (-376 "FLINEXP.spad" 619631 619643 619901 619906) (-375 "FLASORT.spad" 618951 618963 619621 619626) (-374 "FLALG.spad" 616597 616616 618877 618946) (-373 "FLAGG.spad" 613615 613625 616577 616592) (-372 "FLAGG.spad" 610534 610546 613498 613503) (-371 "FLAGG2.spad" 609215 609231 610524 610529) (-370 "FINRALG.spad" 607244 607257 609171 609210) (-369 "FINRALG.spad" 605199 605214 607128 607133) (-368 "FINITE.spad" 604351 604359 605189 605194) (-367 "FINAALG.spad" 593332 593342 604293 604346) (-366 "FINAALG.spad" 582325 582337 593288 593293) (-365 "FILE.spad" 581908 581918 582315 582320) (-364 "FILECAT.spad" 580426 580443 581898 581903) (-363 "FIELD.spad" 579832 579840 580328 580421) (-362 "FIELD.spad" 579324 579334 579822 579827) (-361 "FGROUP.spad" 577933 577943 579304 579319) (-360 "FGLMICPK.spad" 576720 576735 577923 577928) (-359 "FFX.spad" 576095 576110 576436 576529) (-358 "FFSLPE.spad" 575584 575605 576085 576090) (-357 "FFPOLY.spad" 566836 566847 575574 575579) (-356 "FFPOLY2.spad" 565896 565913 566826 566831) (-355 "FFP.spad" 565293 565313 565612 565705) (-354 "FF.spad" 564741 564757 564974 565067) (-353 "FFNBX.spad" 563253 563273 564457 564550) (-352 "FFNBP.spad" 561766 561783 562969 563062) (-351 "FFNB.spad" 560231 560252 561447 561540) (-350 "FFINTBAS.spad" 557645 557664 560221 560226) (-349 "FFIELDC.spad" 555220 555228 557547 557640) (-348 "FFIELDC.spad" 552881 552891 555210 555215) (-347 "FFHOM.spad" 551629 551646 552871 552876) (-346 "FFF.spad" 549064 549075 551619 551624) (-345 "FFCGX.spad" 547911 547931 548780 548873) (-344 "FFCGP.spad" 546800 546820 547627 547720) (-343 "FFCG.spad" 545592 545613 546481 546574) (-342 "FFCAT.spad" 538619 538641 545431 545587) (-341 "FFCAT.spad" 531725 531749 538539 538544) (-340 "FFCAT2.spad" 531470 531510 531715 531720) (-339 "FEXPR.spad" 523179 523225 531226 531265) (-338 "FEVALAB.spad" 522885 522895 523169 523174) (-337 "FEVALAB.spad" 522376 522388 522662 522667) (-336 "FDIV.spad" 521818 521842 522366 522371) (-335 "FDIVCAT.spad" 519860 519884 521808 521813) (-334 "FDIVCAT.spad" 517900 517926 519850 519855) (-333 "FDIV2.spad" 517554 517594 517890 517895) (-332 "FCPAK1.spad" 516107 516115 517544 517549) (-331 "FCOMP.spad" 515486 515496 516097 516102) (-330 "FC.spad" 505401 505409 515476 515481) (-329 "FAXF.spad" 498336 498350 505303 505396) (-328 "FAXF.spad" 491323 491339 498292 498297) (-327 "FARRAY.spad" 489469 489479 490506 490533) (-326 "FAMR.spad" 487589 487601 489367 489464) (-325 "FAMR.spad" 485693 485707 487473 487478) (-324 "FAMONOID.spad" 485343 485353 485647 485652) (-323 "FAMONC.spad" 483565 483577 485333 485338) (-322 "FAGROUP.spad" 483171 483181 483461 483488) (-321 "FACUTIL.spad" 481367 481384 483161 483166) (-320 "FACTFUNC.spad" 480543 480553 481357 481362) (-319 "EXPUPXS.spad" 477376 477399 478675 478824) (-318 "EXPRTUBE.spad" 474604 474612 477366 477371) (-317 "EXPRODE.spad" 471476 471492 474594 474599) (-316 "EXPR.spad" 466751 466761 467465 467872) (-315 "EXPR2UPS.spad" 462843 462856 466741 466746) (-314 "EXPR2.spad" 462546 462558 462833 462838) (-313 "EXPEXPAN.spad" 459484 459509 460118 460211) (-312 "EXIT.spad" 459155 459163 459474 459479) (-311 "EXITAST.spad" 458891 458899 459145 459150) (-310 "EVALCYC.spad" 458349 458363 458881 458886) (-309 "EVALAB.spad" 457913 457923 458339 458344) (-308 "EVALAB.spad" 457475 457487 457903 457908) (-307 "EUCDOM.spad" 455017 455025 457401 457470) (-306 "EUCDOM.spad" 452621 452631 455007 455012) (-305 "ESTOOLS.spad" 444461 444469 452611 452616) (-304 "ESTOOLS2.spad" 444062 444076 444451 444456) (-303 "ESTOOLS1.spad" 443747 443758 444052 444057) (-302 "ES.spad" 436294 436302 443737 443742) (-301 "ES.spad" 428747 428757 436192 436197) (-300 "ESCONT.spad" 425520 425528 428737 428742) (-299 "ESCONT1.spad" 425269 425281 425510 425515) (-298 "ES2.spad" 424764 424780 425259 425264) (-297 "ES1.spad" 424330 424346 424754 424759) (-296 "ERROR.spad" 421651 421659 424320 424325) (-295 "EQTBL.spad" 420123 420145 420332 420359) (-294 "EQ.spad" 414997 415007 417796 417908) (-293 "EQ2.spad" 414713 414725 414987 414992) (-292 "EP.spad" 411027 411037 414703 414708) (-291 "ENV.spad" 409679 409687 411017 411022) (-290 "ENTIRER.spad" 409347 409355 409623 409674) (-289 "EMR.spad" 408548 408589 409273 409342) (-288 "ELTAGG.spad" 406788 406807 408538 408543) (-287 "ELTAGG.spad" 404992 405013 406744 406749) (-286 "ELTAB.spad" 404439 404457 404982 404987) (-285 "ELFUTS.spad" 403818 403837 404429 404434) (-284 "ELEMFUN.spad" 403507 403515 403808 403813) (-283 "ELEMFUN.spad" 403194 403204 403497 403502) (-282 "ELAGG.spad" 401137 401147 403174 403189) (-281 "ELAGG.spad" 399017 399029 401056 401061) (-280 "ELABEXPR.spad" 397940 397948 399007 399012) (-279 "EFUPXS.spad" 394716 394746 397896 397901) (-278 "EFULS.spad" 391552 391575 394672 394677) (-277 "EFSTRUC.spad" 389507 389523 391542 391547) (-276 "EF.spad" 384273 384289 389497 389502) (-275 "EAB.spad" 382549 382557 384263 384268) (-274 "E04UCFA.spad" 382085 382093 382539 382544) (-273 "E04NAFA.spad" 381662 381670 382075 382080) (-272 "E04MBFA.spad" 381242 381250 381652 381657) (-271 "E04JAFA.spad" 380778 380786 381232 381237) (-270 "E04GCFA.spad" 380314 380322 380768 380773) (-269 "E04FDFA.spad" 379850 379858 380304 380309) (-268 "E04DGFA.spad" 379386 379394 379840 379845) (-267 "E04AGNT.spad" 375228 375236 379376 379381) (-266 "DVARCAT.spad" 371913 371923 375218 375223) (-265 "DVARCAT.spad" 368596 368608 371903 371908) (-264 "DSMP.spad" 366027 366041 366332 366459) (-263 "DROPT.spad" 359972 359980 366017 366022) (-262 "DROPT1.spad" 359635 359645 359962 359967) (-261 "DROPT0.spad" 354462 354470 359625 359630) (-260 "DRAWPT.spad" 352617 352625 354452 354457) (-259 "DRAW.spad" 345217 345230 352607 352612) (-258 "DRAWHACK.spad" 344525 344535 345207 345212) (-257 "DRAWCX.spad" 341967 341975 344515 344520) (-256 "DRAWCURV.spad" 341504 341519 341957 341962) (-255 "DRAWCFUN.spad" 330676 330684 341494 341499) (-254 "DQAGG.spad" 328844 328854 330644 330671) (-253 "DPOLCAT.spad" 324185 324201 328712 328839) (-252 "DPOLCAT.spad" 319612 319630 324141 324146) (-251 "DPMO.spad" 311838 311854 311976 312277) (-250 "DPMM.spad" 304077 304095 304202 304503) (-249 "DOMCTOR.spad" 303969 303977 304067 304072) (-248 "DOMAIN.spad" 303100 303108 303959 303964) (-247 "DMP.spad" 300322 300337 300894 301021) (-246 "DLP.spad" 299670 299680 300312 300317) (-245 "DLIST.spad" 298249 298259 298853 298880) (-244 "DLAGG.spad" 296660 296670 298239 298244) (-243 "DIVRING.spad" 296202 296210 296604 296655) (-242 "DIVRING.spad" 295788 295798 296192 296197) (-241 "DISPLAY.spad" 293968 293976 295778 295783) (-240 "DIRPROD.spad" 283548 283564 284188 284319) (-239 "DIRPROD2.spad" 282356 282374 283538 283543) (-238 "DIRPCAT.spad" 281298 281314 282220 282351) (-237 "DIRPCAT.spad" 279969 279987 280893 280898) (-236 "DIOSP.spad" 278794 278802 279959 279964) (-235 "DIOPS.spad" 277778 277788 278774 278789) (-234 "DIOPS.spad" 276736 276748 277734 277739) (-233 "DIFRING.spad" 276028 276036 276716 276731) (-232 "DIFRING.spad" 275328 275338 276018 276023) (-231 "DIFEXT.spad" 274487 274497 275308 275323) (-230 "DIFEXT.spad" 273563 273575 274386 274391) (-229 "DIAGG.spad" 273193 273203 273543 273558) (-228 "DIAGG.spad" 272831 272843 273183 273188) (-227 "DHMATRIX.spad" 271135 271145 272288 272315) (-226 "DFSFUN.spad" 264543 264551 271125 271130) (-225 "DFLOAT.spad" 261264 261272 264433 264538) (-224 "DFINTTLS.spad" 259473 259489 261254 261259) (-223 "DERHAM.spad" 257383 257415 259453 259468) (-222 "DEQUEUE.spad" 256701 256711 256990 257017) (-221 "DEGRED.spad" 256316 256330 256691 256696) (-220 "DEFINTRF.spad" 253841 253851 256306 256311) (-219 "DEFINTEF.spad" 252337 252353 253831 253836) (-218 "DEFAST.spad" 251705 251713 252327 252332) (-217 "DECIMAL.spad" 249811 249819 250172 250265) (-216 "DDFACT.spad" 247610 247627 249801 249806) (-215 "DBLRESP.spad" 247208 247232 247600 247605) (-214 "DBASE.spad" 245862 245872 247198 247203) (-213 "DATAARY.spad" 245324 245337 245852 245857) (-212 "D03FAFA.spad" 245152 245160 245314 245319) (-211 "D03EEFA.spad" 244972 244980 245142 245147) (-210 "D03AGNT.spad" 244052 244060 244962 244967) (-209 "D02EJFA.spad" 243514 243522 244042 244047) (-208 "D02CJFA.spad" 242992 243000 243504 243509) (-207 "D02BHFA.spad" 242482 242490 242982 242987) (-206 "D02BBFA.spad" 241972 241980 242472 242477) (-205 "D02AGNT.spad" 236776 236784 241962 241967) (-204 "D01WGTS.spad" 235095 235103 236766 236771) (-203 "D01TRNS.spad" 235072 235080 235085 235090) (-202 "D01GBFA.spad" 234594 234602 235062 235067) (-201 "D01FCFA.spad" 234116 234124 234584 234589) (-200 "D01ASFA.spad" 233584 233592 234106 234111) (-199 "D01AQFA.spad" 233030 233038 233574 233579) (-198 "D01APFA.spad" 232454 232462 233020 233025) (-197 "D01ANFA.spad" 231948 231956 232444 232449) (-196 "D01AMFA.spad" 231458 231466 231938 231943) (-195 "D01ALFA.spad" 230998 231006 231448 231453) (-194 "D01AKFA.spad" 230524 230532 230988 230993) (-193 "D01AJFA.spad" 230047 230055 230514 230519) (-192 "D01AGNT.spad" 226106 226114 230037 230042) (-191 "CYCLOTOM.spad" 225612 225620 226096 226101) (-190 "CYCLES.spad" 222444 222452 225602 225607) (-189 "CVMP.spad" 221861 221871 222434 222439) (-188 "CTRIGMNP.spad" 220351 220367 221851 221856) (-187 "CTOR.spad" 220042 220050 220341 220346) (-186 "CTORKIND.spad" 219645 219653 220032 220037) (-185 "CTORCAT.spad" 218894 218902 219635 219640) (-184 "CTORCAT.spad" 218141 218151 218884 218889) (-183 "CTORCALL.spad" 217721 217729 218131 218136) (-182 "CSTTOOLS.spad" 216964 216977 217711 217716) (-181 "CRFP.spad" 210668 210681 216954 216959) (-180 "CRCEAST.spad" 210388 210396 210658 210663) (-179 "CRAPACK.spad" 209431 209441 210378 210383) (-178 "CPMATCH.spad" 208931 208946 209356 209361) (-177 "CPIMA.spad" 208636 208655 208921 208926) (-176 "COORDSYS.spad" 203529 203539 208626 208631) (-175 "CONTOUR.spad" 202936 202944 203519 203524) (-174 "CONTFRAC.spad" 198548 198558 202838 202931) (-173 "CONDUIT.spad" 198306 198314 198538 198543) (-172 "COMRING.spad" 197980 197988 198244 198301) (-171 "COMPPROP.spad" 197494 197502 197970 197975) (-170 "COMPLPAT.spad" 197261 197276 197484 197489) (-169 "COMPLEX.spad" 191285 191295 191529 191790) (-168 "COMPLEX2.spad" 190998 191010 191275 191280) (-167 "COMPFACT.spad" 190600 190614 190988 190993) (-166 "COMPCAT.spad" 188668 188678 190334 190595) (-165 "COMPCAT.spad" 186429 186441 188097 188102) (-164 "COMMUPC.spad" 186175 186193 186419 186424) (-163 "COMMONOP.spad" 185708 185716 186165 186170) (-162 "COMM.spad" 185517 185525 185698 185703) (-161 "COMMAAST.spad" 185280 185288 185507 185512) (-160 "COMBOPC.spad" 184185 184193 185270 185275) (-159 "COMBINAT.spad" 182930 182940 184175 184180) (-158 "COMBF.spad" 180298 180314 182920 182925) (-157 "COLOR.spad" 179135 179143 180288 180293) (-156 "COLONAST.spad" 178801 178809 179125 179130) (-155 "CMPLXRT.spad" 178510 178527 178791 178796) (-154 "CLLCTAST.spad" 178172 178180 178500 178505) (-153 "CLIP.spad" 174264 174272 178162 178167) (-152 "CLIF.spad" 172903 172919 174220 174259) (-151 "CLAGG.spad" 169388 169398 172893 172898) (-150 "CLAGG.spad" 165744 165756 169251 169256) (-149 "CINTSLPE.spad" 165069 165082 165734 165739) (-148 "CHVAR.spad" 163147 163169 165059 165064) (-147 "CHARZ.spad" 163062 163070 163127 163142) (-146 "CHARPOL.spad" 162570 162580 163052 163057) (-145 "CHARNZ.spad" 162323 162331 162550 162565) (-144 "CHAR.spad" 160191 160199 162313 162318) (-143 "CFCAT.spad" 159507 159515 160181 160186) (-142 "CDEN.spad" 158665 158679 159497 159502) (-141 "CCLASS.spad" 156814 156822 158076 158115) (-140 "CATEGORY.spad" 155904 155912 156804 156809) (-139 "CATCTOR.spad" 155795 155803 155894 155899) (-138 "CATAST.spad" 155413 155421 155785 155790) (-137 "CASEAST.spad" 155127 155135 155403 155408) (-136 "CARTEN.spad" 150230 150254 155117 155122) (-135 "CARTEN2.spad" 149616 149643 150220 150225) (-134 "CARD.spad" 146905 146913 149590 149611) (-133 "CAPSLAST.spad" 146679 146687 146895 146900) (-132 "CACHSET.spad" 146301 146309 146669 146674) (-131 "CABMON.spad" 145854 145862 146291 146296) (-130 "BYTEORD.spad" 145529 145537 145844 145849) (-129 "BYTE.spad" 144954 144962 145519 145524) (-128 "BYTEBUF.spad" 142811 142819 144123 144150) (-127 "BTREE.spad" 141880 141890 142418 142445) (-126 "BTOURN.spad" 140883 140893 141487 141514) (-125 "BTCAT.spad" 140271 140281 140851 140878) (-124 "BTCAT.spad" 139679 139691 140261 140266) (-123 "BTAGG.spad" 138801 138809 139647 139674) (-122 "BTAGG.spad" 137943 137953 138791 138796) (-121 "BSTREE.spad" 136678 136688 137550 137577) (-120 "BRILL.spad" 134873 134884 136668 136673) (-119 "BRAGG.spad" 133797 133807 134863 134868) (-118 "BRAGG.spad" 132685 132697 133753 133758) (-117 "BPADICRT.spad" 130666 130678 130921 131014) (-116 "BPADIC.spad" 130330 130342 130592 130661) (-115 "BOUNDZRO.spad" 129986 130003 130320 130325) (-114 "BOP.spad" 125004 125012 129976 129981) (-113 "BOP1.spad" 122390 122400 124960 124965) (-112 "BOOLEAN.spad" 121714 121722 122380 122385) (-111 "BMODULE.spad" 121426 121438 121682 121709) (-110 "BITS.spad" 120845 120853 121062 121089) (-109 "BINDING.spad" 120256 120264 120835 120840) (-108 "BINARY.spad" 118367 118375 118723 118816) (-107 "BGAGG.spad" 117564 117574 118347 118362) (-106 "BGAGG.spad" 116769 116781 117554 117559) (-105 "BFUNCT.spad" 116333 116341 116749 116764) (-104 "BEZOUT.spad" 115467 115494 116283 116288) (-103 "BBTREE.spad" 112286 112296 115074 115101) (-102 "BASTYPE.spad" 111958 111966 112276 112281) (-101 "BASTYPE.spad" 111628 111638 111948 111953) (-100 "BALFACT.spad" 111067 111080 111618 111623) (-99 "AUTOMOR.spad" 110514 110523 111047 111062) (-98 "ATTREG.spad" 107233 107240 110266 110509) (-97 "ATTRBUT.spad" 103256 103263 107213 107228) (-96 "ATTRAST.spad" 102973 102980 103246 103251) (-95 "ATRIG.spad" 102443 102450 102963 102968) (-94 "ATRIG.spad" 101911 101920 102433 102438) (-93 "ASTCAT.spad" 101815 101822 101901 101906) (-92 "ASTCAT.spad" 101717 101726 101805 101810) (-91 "ASTACK.spad" 101050 101059 101324 101351) (-90 "ASSOCEQ.spad" 99850 99861 101006 101011) (-89 "ASP9.spad" 98931 98944 99840 99845) (-88 "ASP8.spad" 97974 97987 98921 98926) (-87 "ASP80.spad" 97296 97309 97964 97969) (-86 "ASP7.spad" 96456 96469 97286 97291) (-85 "ASP78.spad" 95907 95920 96446 96451) (-84 "ASP77.spad" 95276 95289 95897 95902) (-83 "ASP74.spad" 94368 94381 95266 95271) (-82 "ASP73.spad" 93639 93652 94358 94363) (-81 "ASP6.spad" 92506 92519 93629 93634) (-80 "ASP55.spad" 91015 91028 92496 92501) (-79 "ASP50.spad" 88832 88845 91005 91010) (-78 "ASP4.spad" 88127 88140 88822 88827) (-77 "ASP49.spad" 87126 87139 88117 88122) (-76 "ASP42.spad" 85533 85572 87116 87121) (-75 "ASP41.spad" 84112 84151 85523 85528) (-74 "ASP35.spad" 83100 83113 84102 84107) (-73 "ASP34.spad" 82401 82414 83090 83095) (-72 "ASP33.spad" 81961 81974 82391 82396) (-71 "ASP31.spad" 81101 81114 81951 81956) (-70 "ASP30.spad" 79993 80006 81091 81096) (-69 "ASP29.spad" 79459 79472 79983 79988) (-68 "ASP28.spad" 70732 70745 79449 79454) (-67 "ASP27.spad" 69629 69642 70722 70727) (-66 "ASP24.spad" 68716 68729 69619 69624) (-65 "ASP20.spad" 68180 68193 68706 68711) (-64 "ASP1.spad" 67561 67574 68170 68175) (-63 "ASP19.spad" 62247 62260 67551 67556) (-62 "ASP12.spad" 61661 61674 62237 62242) (-61 "ASP10.spad" 60932 60945 61651 61656) (-60 "ARRAY2.spad" 60292 60301 60539 60566) (-59 "ARRAY1.spad" 59127 59136 59475 59502) (-58 "ARRAY12.spad" 57796 57807 59117 59122) (-57 "ARR2CAT.spad" 53458 53479 57764 57791) (-56 "ARR2CAT.spad" 49140 49163 53448 53453) (-55 "ARITY.spad" 48512 48519 49130 49135) (-54 "APPRULE.spad" 47756 47778 48502 48507) (-53 "APPLYORE.spad" 47371 47384 47746 47751) (-52 "ANY.spad" 45713 45720 47361 47366) (-51 "ANY1.spad" 44784 44793 45703 45708) (-50 "ANTISYM.spad" 43223 43239 44764 44779) (-49 "ANON.spad" 42916 42923 43213 43218) (-48 "AN.spad" 41217 41224 42732 42825) (-47 "AMR.spad" 39396 39407 41115 41212) (-46 "AMR.spad" 37412 37425 39133 39138) (-45 "ALIST.spad" 34824 34845 35174 35201) (-44 "ALGSC.spad" 33947 33973 34696 34749) (-43 "ALGPKG.spad" 29656 29667 33903 33908) (-42 "ALGMFACT.spad" 28845 28859 29646 29651) (-41 "ALGMANIP.spad" 26265 26280 28642 28647) (-40 "ALGFF.spad" 24580 24607 24797 24953) (-39 "ALGFACT.spad" 23701 23711 24570 24575) (-38 "ALGEBRA.spad" 23534 23543 23657 23696) (-37 "ALGEBRA.spad" 23399 23410 23524 23529) (-36 "ALAGG.spad" 22909 22930 23367 23394) (-35 "AHYP.spad" 22290 22297 22899 22904) (-34 "AGG.spad" 20599 20606 22280 22285) (-33 "AGG.spad" 18872 18881 20555 20560) (-32 "AF.spad" 17297 17312 18807 18812) (-31 "ADDAST.spad" 16975 16982 17287 17292) (-30 "ACPLOT.spad" 15546 15553 16965 16970) (-29 "ACFS.spad" 13297 13306 15448 15541) (-28 "ACFS.spad" 11134 11145 13287 13292) (-27 "ACF.spad" 7736 7743 11036 11129) (-26 "ACF.spad" 4424 4433 7726 7731) (-25 "ABELSG.spad" 3965 3972 4414 4419) (-24 "ABELSG.spad" 3504 3513 3955 3960) (-23 "ABELMON.spad" 3047 3054 3494 3499) (-22 "ABELMON.spad" 2588 2597 3037 3042) (-21 "ABELGRP.spad" 2160 2167 2578 2583) (-20 "ABELGRP.spad" 1730 1739 2150 2155) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865))
\ No newline at end of file +((-3 NIL 2282859 2282864 2282869 2282874) (-2 NIL 2282839 2282844 2282849 2282854) (-1 NIL 2282819 2282824 2282829 2282834) (0 NIL 2282799 2282804 2282809 2282814) (-1287 "ZMOD.spad" 2282608 2282621 2282737 2282794) (-1286 "ZLINDEP.spad" 2281652 2281663 2282598 2282603) (-1285 "ZDSOLVE.spad" 2271501 2271523 2281642 2281647) (-1284 "YSTREAM.spad" 2270994 2271005 2271491 2271496) (-1283 "XRPOLY.spad" 2270214 2270234 2270850 2270919) (-1282 "XPR.spad" 2268005 2268018 2269932 2270031) (-1281 "XPOLY.spad" 2267560 2267571 2267861 2267930) (-1280 "XPOLYC.spad" 2266877 2266893 2267486 2267555) (-1279 "XPBWPOLY.spad" 2265314 2265334 2266657 2266726) (-1278 "XF.spad" 2263775 2263790 2265216 2265309) (-1277 "XF.spad" 2262216 2262233 2263659 2263664) (-1276 "XFALG.spad" 2259240 2259256 2262142 2262211) (-1275 "XEXPPKG.spad" 2258491 2258517 2259230 2259235) (-1274 "XDPOLY.spad" 2258105 2258121 2258347 2258416) (-1273 "XALG.spad" 2257765 2257776 2258061 2258100) (-1272 "WUTSET.spad" 2253604 2253621 2257411 2257438) (-1271 "WP.spad" 2252803 2252847 2253462 2253529) (-1270 "WHILEAST.spad" 2252601 2252610 2252793 2252798) (-1269 "WHEREAST.spad" 2252272 2252281 2252591 2252596) (-1268 "WFFINTBS.spad" 2249835 2249857 2252262 2252267) (-1267 "WEIER.spad" 2248049 2248060 2249825 2249830) (-1266 "VSPACE.spad" 2247722 2247733 2248017 2248044) (-1265 "VSPACE.spad" 2247415 2247428 2247712 2247717) (-1264 "VOID.spad" 2247092 2247101 2247405 2247410) (-1263 "VIEW.spad" 2244714 2244723 2247082 2247087) (-1262 "VIEWDEF.spad" 2239911 2239920 2244704 2244709) (-1261 "VIEW3D.spad" 2223746 2223755 2239901 2239906) (-1260 "VIEW2D.spad" 2211483 2211492 2223736 2223741) (-1259 "VECTOR.spad" 2210158 2210169 2210409 2210436) (-1258 "VECTOR2.spad" 2208785 2208798 2210148 2210153) (-1257 "VECTCAT.spad" 2206685 2206696 2208753 2208780) (-1256 "VECTCAT.spad" 2204393 2204406 2206463 2206468) (-1255 "VARIABLE.spad" 2204173 2204188 2204383 2204388) (-1254 "UTYPE.spad" 2203817 2203826 2204163 2204168) (-1253 "UTSODETL.spad" 2203110 2203134 2203773 2203778) (-1252 "UTSODE.spad" 2201298 2201318 2203100 2203105) (-1251 "UTS.spad" 2196087 2196115 2199765 2199862) (-1250 "UTSCAT.spad" 2193538 2193554 2195985 2196082) (-1249 "UTSCAT.spad" 2190633 2190651 2193082 2193087) (-1248 "UTS2.spad" 2190226 2190261 2190623 2190628) (-1247 "URAGG.spad" 2184858 2184869 2190216 2190221) (-1246 "URAGG.spad" 2179454 2179467 2184814 2184819) (-1245 "UPXSSING.spad" 2177097 2177123 2178535 2178668) (-1244 "UPXS.spad" 2174245 2174273 2175229 2175378) (-1243 "UPXSCONS.spad" 2172002 2172022 2172377 2172526) (-1242 "UPXSCCA.spad" 2170567 2170587 2171848 2171997) (-1241 "UPXSCCA.spad" 2169274 2169296 2170557 2170562) (-1240 "UPXSCAT.spad" 2167855 2167871 2169120 2169269) (-1239 "UPXS2.spad" 2167396 2167449 2167845 2167850) (-1238 "UPSQFREE.spad" 2165808 2165822 2167386 2167391) (-1237 "UPSCAT.spad" 2163401 2163425 2165706 2165803) (-1236 "UPSCAT.spad" 2160700 2160726 2163007 2163012) (-1235 "UPOLYC.spad" 2155678 2155689 2160542 2160695) (-1234 "UPOLYC.spad" 2150548 2150561 2155414 2155419) (-1233 "UPOLYC2.spad" 2150017 2150036 2150538 2150543) (-1232 "UP.spad" 2147210 2147225 2147603 2147756) (-1231 "UPMP.spad" 2146100 2146113 2147200 2147205) (-1230 "UPDIVP.spad" 2145663 2145677 2146090 2146095) (-1229 "UPDECOMP.spad" 2143900 2143914 2145653 2145658) (-1228 "UPCDEN.spad" 2143107 2143123 2143890 2143895) (-1227 "UP2.spad" 2142469 2142490 2143097 2143102) (-1226 "UNISEG.spad" 2141822 2141833 2142388 2142393) (-1225 "UNISEG2.spad" 2141315 2141328 2141778 2141783) (-1224 "UNIFACT.spad" 2140416 2140428 2141305 2141310) (-1223 "ULS.spad" 2130968 2130996 2132061 2132490) (-1222 "ULSCONS.spad" 2123362 2123382 2123734 2123883) (-1221 "ULSCCAT.spad" 2121091 2121111 2123208 2123357) (-1220 "ULSCCAT.spad" 2118928 2118950 2121047 2121052) (-1219 "ULSCAT.spad" 2117144 2117160 2118774 2118923) (-1218 "ULS2.spad" 2116656 2116709 2117134 2117139) (-1217 "UINT8.spad" 2116533 2116542 2116646 2116651) (-1216 "UINT64.spad" 2116409 2116418 2116523 2116528) (-1215 "UINT32.spad" 2116285 2116294 2116399 2116404) (-1214 "UINT16.spad" 2116161 2116170 2116275 2116280) (-1213 "UFD.spad" 2115226 2115235 2116087 2116156) (-1212 "UFD.spad" 2114353 2114364 2115216 2115221) (-1211 "UDVO.spad" 2113200 2113209 2114343 2114348) (-1210 "UDPO.spad" 2110627 2110638 2113156 2113161) (-1209 "TYPE.spad" 2110559 2110568 2110617 2110622) (-1208 "TYPEAST.spad" 2110478 2110487 2110549 2110554) (-1207 "TWOFACT.spad" 2109128 2109143 2110468 2110473) (-1206 "TUPLE.spad" 2108612 2108623 2109027 2109032) (-1205 "TUBETOOL.spad" 2105449 2105458 2108602 2108607) (-1204 "TUBE.spad" 2104090 2104107 2105439 2105444) (-1203 "TS.spad" 2102679 2102695 2103655 2103752) (-1202 "TSETCAT.spad" 2089806 2089823 2102647 2102674) (-1201 "TSETCAT.spad" 2076919 2076938 2089762 2089767) (-1200 "TRMANIP.spad" 2071285 2071302 2076625 2076630) (-1199 "TRIMAT.spad" 2070244 2070269 2071275 2071280) (-1198 "TRIGMNIP.spad" 2068761 2068778 2070234 2070239) (-1197 "TRIGCAT.spad" 2068273 2068282 2068751 2068756) (-1196 "TRIGCAT.spad" 2067783 2067794 2068263 2068268) (-1195 "TREE.spad" 2066354 2066365 2067390 2067417) (-1194 "TRANFUN.spad" 2066185 2066194 2066344 2066349) (-1193 "TRANFUN.spad" 2066014 2066025 2066175 2066180) (-1192 "TOPSP.spad" 2065688 2065697 2066004 2066009) (-1191 "TOOLSIGN.spad" 2065351 2065362 2065678 2065683) (-1190 "TEXTFILE.spad" 2063908 2063917 2065341 2065346) (-1189 "TEX.spad" 2061040 2061049 2063898 2063903) (-1188 "TEX1.spad" 2060596 2060607 2061030 2061035) (-1187 "TEMUTL.spad" 2060151 2060160 2060586 2060591) (-1186 "TBCMPPK.spad" 2058244 2058267 2060141 2060146) (-1185 "TBAGG.spad" 2057280 2057303 2058224 2058239) (-1184 "TBAGG.spad" 2056324 2056349 2057270 2057275) (-1183 "TANEXP.spad" 2055700 2055711 2056314 2056319) (-1182 "TABLE.spad" 2054111 2054134 2054381 2054408) (-1181 "TABLEAU.spad" 2053592 2053603 2054101 2054106) (-1180 "TABLBUMP.spad" 2050375 2050386 2053582 2053587) (-1179 "SYSTEM.spad" 2049603 2049612 2050365 2050370) (-1178 "SYSSOLP.spad" 2047076 2047087 2049593 2049598) (-1177 "SYSNNI.spad" 2046256 2046267 2047066 2047071) (-1176 "SYSINT.spad" 2045660 2045671 2046246 2046251) (-1175 "SYNTAX.spad" 2041854 2041863 2045650 2045655) (-1174 "SYMTAB.spad" 2039910 2039919 2041844 2041849) (-1173 "SYMS.spad" 2035895 2035904 2039900 2039905) (-1172 "SYMPOLY.spad" 2034902 2034913 2034984 2035111) (-1171 "SYMFUNC.spad" 2034377 2034388 2034892 2034897) (-1170 "SYMBOL.spad" 2031804 2031813 2034367 2034372) (-1169 "SWITCH.spad" 2028561 2028570 2031794 2031799) (-1168 "SUTS.spad" 2025460 2025488 2027028 2027125) (-1167 "SUPXS.spad" 2022595 2022623 2023592 2023741) (-1166 "SUP.spad" 2019400 2019411 2020181 2020334) (-1165 "SUPFRACF.spad" 2018505 2018523 2019390 2019395) (-1164 "SUP2.spad" 2017895 2017908 2018495 2018500) (-1163 "SUMRF.spad" 2016861 2016872 2017885 2017890) (-1162 "SUMFS.spad" 2016494 2016511 2016851 2016856) (-1161 "SULS.spad" 2007033 2007061 2008139 2008568) (-1160 "SUCHTAST.spad" 2006802 2006811 2007023 2007028) (-1159 "SUCH.spad" 2006482 2006497 2006792 2006797) (-1158 "SUBSPACE.spad" 1998489 1998504 2006472 2006477) (-1157 "SUBRESP.spad" 1997649 1997663 1998445 1998450) (-1156 "STTF.spad" 1993748 1993764 1997639 1997644) (-1155 "STTFNC.spad" 1990216 1990232 1993738 1993743) (-1154 "STTAYLOR.spad" 1982614 1982625 1990097 1990102) (-1153 "STRTBL.spad" 1981119 1981136 1981268 1981295) (-1152 "STRING.spad" 1980528 1980537 1980542 1980569) (-1151 "STRICAT.spad" 1980316 1980325 1980496 1980523) (-1150 "STREAM.spad" 1977174 1977185 1979841 1979856) (-1149 "STREAM3.spad" 1976719 1976734 1977164 1977169) (-1148 "STREAM2.spad" 1975787 1975800 1976709 1976714) (-1147 "STREAM1.spad" 1975491 1975502 1975777 1975782) (-1146 "STINPROD.spad" 1974397 1974413 1975481 1975486) (-1145 "STEP.spad" 1973598 1973607 1974387 1974392) (-1144 "STBL.spad" 1972124 1972152 1972291 1972306) (-1143 "STAGG.spad" 1971199 1971210 1972114 1972119) (-1142 "STAGG.spad" 1970272 1970285 1971189 1971194) (-1141 "STACK.spad" 1969623 1969634 1969879 1969906) (-1140 "SREGSET.spad" 1967327 1967344 1969269 1969296) (-1139 "SRDCMPK.spad" 1965872 1965892 1967317 1967322) (-1138 "SRAGG.spad" 1960969 1960978 1965840 1965867) (-1137 "SRAGG.spad" 1956086 1956097 1960959 1960964) (-1136 "SQMATRIX.spad" 1953702 1953720 1954618 1954705) (-1135 "SPLTREE.spad" 1948254 1948267 1953138 1953165) (-1134 "SPLNODE.spad" 1944842 1944855 1948244 1948249) (-1133 "SPFCAT.spad" 1943619 1943628 1944832 1944837) (-1132 "SPECOUT.spad" 1942169 1942178 1943609 1943614) (-1131 "SPADXPT.spad" 1934308 1934317 1942159 1942164) (-1130 "spad-parser.spad" 1933773 1933782 1934298 1934303) (-1129 "SPADAST.spad" 1933474 1933483 1933763 1933768) (-1128 "SPACEC.spad" 1917487 1917498 1933464 1933469) (-1127 "SPACE3.spad" 1917263 1917274 1917477 1917482) (-1126 "SORTPAK.spad" 1916808 1916821 1917219 1917224) (-1125 "SOLVETRA.spad" 1914565 1914576 1916798 1916803) (-1124 "SOLVESER.spad" 1913085 1913096 1914555 1914560) (-1123 "SOLVERAD.spad" 1909095 1909106 1913075 1913080) (-1122 "SOLVEFOR.spad" 1907515 1907533 1909085 1909090) (-1121 "SNTSCAT.spad" 1907115 1907132 1907483 1907510) (-1120 "SMTS.spad" 1905375 1905401 1906680 1906777) (-1119 "SMP.spad" 1902850 1902870 1903240 1903367) (-1118 "SMITH.spad" 1901693 1901718 1902840 1902845) (-1117 "SMATCAT.spad" 1899803 1899833 1901637 1901688) (-1116 "SMATCAT.spad" 1897845 1897877 1899681 1899686) (-1115 "SKAGG.spad" 1896806 1896817 1897813 1897840) (-1114 "SINT.spad" 1895632 1895641 1896672 1896801) (-1113 "SIMPAN.spad" 1895360 1895369 1895622 1895627) (-1112 "SIG.spad" 1894688 1894697 1895350 1895355) (-1111 "SIGNRF.spad" 1893796 1893807 1894678 1894683) (-1110 "SIGNEF.spad" 1893065 1893082 1893786 1893791) (-1109 "SIGAST.spad" 1892446 1892455 1893055 1893060) (-1108 "SHP.spad" 1890364 1890379 1892402 1892407) (-1107 "SHDP.spad" 1880075 1880102 1880584 1880715) (-1106 "SGROUP.spad" 1879683 1879692 1880065 1880070) (-1105 "SGROUP.spad" 1879289 1879300 1879673 1879678) (-1104 "SGCF.spad" 1872170 1872179 1879279 1879284) (-1103 "SFRTCAT.spad" 1871098 1871115 1872138 1872165) (-1102 "SFRGCD.spad" 1870161 1870181 1871088 1871093) (-1101 "SFQCMPK.spad" 1864798 1864818 1870151 1870156) (-1100 "SFORT.spad" 1864233 1864247 1864788 1864793) (-1099 "SEXOF.spad" 1864076 1864116 1864223 1864228) (-1098 "SEX.spad" 1863968 1863977 1864066 1864071) (-1097 "SEXCAT.spad" 1861519 1861559 1863958 1863963) (-1096 "SET.spad" 1859819 1859830 1860940 1860979) (-1095 "SETMN.spad" 1858253 1858270 1859809 1859814) (-1094 "SETCAT.spad" 1857575 1857584 1858243 1858248) (-1093 "SETCAT.spad" 1856895 1856906 1857565 1857570) (-1092 "SETAGG.spad" 1853416 1853427 1856875 1856890) (-1091 "SETAGG.spad" 1849945 1849958 1853406 1853411) (-1090 "SEQAST.spad" 1849648 1849657 1849935 1849940) (-1089 "SEGXCAT.spad" 1848770 1848783 1849638 1849643) (-1088 "SEG.spad" 1848583 1848594 1848689 1848694) (-1087 "SEGCAT.spad" 1847490 1847501 1848573 1848578) (-1086 "SEGBIND.spad" 1846562 1846573 1847445 1847450) (-1085 "SEGBIND2.spad" 1846258 1846271 1846552 1846557) (-1084 "SEGAST.spad" 1845972 1845981 1846248 1846253) (-1083 "SEG2.spad" 1845397 1845410 1845928 1845933) (-1082 "SDVAR.spad" 1844673 1844684 1845387 1845392) (-1081 "SDPOL.spad" 1842099 1842110 1842390 1842517) (-1080 "SCPKG.spad" 1840178 1840189 1842089 1842094) (-1079 "SCOPE.spad" 1839327 1839336 1840168 1840173) (-1078 "SCACHE.spad" 1838009 1838020 1839317 1839322) (-1077 "SASTCAT.spad" 1837918 1837927 1837999 1838004) (-1076 "SAOS.spad" 1837790 1837799 1837908 1837913) (-1075 "SAERFFC.spad" 1837503 1837523 1837780 1837785) (-1074 "SAE.spad" 1835678 1835694 1836289 1836424) (-1073 "SAEFACT.spad" 1835379 1835399 1835668 1835673) (-1072 "RURPK.spad" 1833020 1833036 1835369 1835374) (-1071 "RULESET.spad" 1832461 1832485 1833010 1833015) (-1070 "RULE.spad" 1830665 1830689 1832451 1832456) (-1069 "RULECOLD.spad" 1830517 1830530 1830655 1830660) (-1068 "RTVALUE.spad" 1830250 1830259 1830507 1830512) (-1067 "RSTRCAST.spad" 1829967 1829976 1830240 1830245) (-1066 "RSETGCD.spad" 1826345 1826365 1829957 1829962) (-1065 "RSETCAT.spad" 1816129 1816146 1826313 1826340) (-1064 "RSETCAT.spad" 1805933 1805952 1816119 1816124) (-1063 "RSDCMPK.spad" 1804385 1804405 1805923 1805928) (-1062 "RRCC.spad" 1802769 1802799 1804375 1804380) (-1061 "RRCC.spad" 1801151 1801183 1802759 1802764) (-1060 "RPTAST.spad" 1800853 1800862 1801141 1801146) (-1059 "RPOLCAT.spad" 1780213 1780228 1800721 1800848) (-1058 "RPOLCAT.spad" 1759287 1759304 1779797 1779802) (-1057 "ROUTINE.spad" 1755150 1755159 1757934 1757961) (-1056 "ROMAN.spad" 1754478 1754487 1755016 1755145) (-1055 "ROIRC.spad" 1753558 1753590 1754468 1754473) (-1054 "RNS.spad" 1752461 1752470 1753460 1753553) (-1053 "RNS.spad" 1751450 1751461 1752451 1752456) (-1052 "RNG.spad" 1751185 1751194 1751440 1751445) (-1051 "RMODULE.spad" 1750823 1750834 1751175 1751180) (-1050 "RMCAT2.spad" 1750231 1750288 1750813 1750818) (-1049 "RMATRIX.spad" 1749055 1749074 1749398 1749437) (-1048 "RMATCAT.spad" 1744588 1744619 1749011 1749050) (-1047 "RMATCAT.spad" 1740011 1740044 1744436 1744441) (-1046 "RINTERP.spad" 1739899 1739919 1740001 1740006) (-1045 "RING.spad" 1739369 1739378 1739879 1739894) (-1044 "RING.spad" 1738847 1738858 1739359 1739364) (-1043 "RIDIST.spad" 1738231 1738240 1738837 1738842) (-1042 "RGCHAIN.spad" 1736810 1736826 1737716 1737743) (-1041 "RGBCSPC.spad" 1736591 1736603 1736800 1736805) (-1040 "RGBCMDL.spad" 1736121 1736133 1736581 1736586) (-1039 "RF.spad" 1733735 1733746 1736111 1736116) (-1038 "RFFACTOR.spad" 1733197 1733208 1733725 1733730) (-1037 "RFFACT.spad" 1732932 1732944 1733187 1733192) (-1036 "RFDIST.spad" 1731920 1731929 1732922 1732927) (-1035 "RETSOL.spad" 1731337 1731350 1731910 1731915) (-1034 "RETRACT.spad" 1730765 1730776 1731327 1731332) (-1033 "RETRACT.spad" 1730191 1730204 1730755 1730760) (-1032 "RETAST.spad" 1730003 1730012 1730181 1730186) (-1031 "RESULT.spad" 1728063 1728072 1728650 1728677) (-1030 "RESRING.spad" 1727410 1727457 1728001 1728058) (-1029 "RESLATC.spad" 1726734 1726745 1727400 1727405) (-1028 "REPSQ.spad" 1726463 1726474 1726724 1726729) (-1027 "REP.spad" 1724015 1724024 1726453 1726458) (-1026 "REPDB.spad" 1723720 1723731 1724005 1724010) (-1025 "REP2.spad" 1713292 1713303 1723562 1723567) (-1024 "REP1.spad" 1707282 1707293 1713242 1713247) (-1023 "REGSET.spad" 1705079 1705096 1706928 1706955) (-1022 "REF.spad" 1704408 1704419 1705034 1705039) (-1021 "REDORDER.spad" 1703584 1703601 1704398 1704403) (-1020 "RECLOS.spad" 1702367 1702387 1703071 1703164) (-1019 "REALSOLV.spad" 1701499 1701508 1702357 1702362) (-1018 "REAL.spad" 1701371 1701380 1701489 1701494) (-1017 "REAL0Q.spad" 1698653 1698668 1701361 1701366) (-1016 "REAL0.spad" 1695481 1695496 1698643 1698648) (-1015 "RDUCEAST.spad" 1695202 1695211 1695471 1695476) (-1014 "RDIV.spad" 1694853 1694878 1695192 1695197) (-1013 "RDIST.spad" 1694416 1694427 1694843 1694848) (-1012 "RDETRS.spad" 1693212 1693230 1694406 1694411) (-1011 "RDETR.spad" 1691319 1691337 1693202 1693207) (-1010 "RDEEFS.spad" 1690392 1690409 1691309 1691314) (-1009 "RDEEF.spad" 1689388 1689405 1690382 1690387) (-1008 "RCFIELD.spad" 1686574 1686583 1689290 1689383) (-1007 "RCFIELD.spad" 1683846 1683857 1686564 1686569) (-1006 "RCAGG.spad" 1681758 1681769 1683836 1683841) (-1005 "RCAGG.spad" 1679597 1679610 1681677 1681682) (-1004 "RATRET.spad" 1678957 1678968 1679587 1679592) (-1003 "RATFACT.spad" 1678649 1678661 1678947 1678952) (-1002 "RANDSRC.spad" 1677968 1677977 1678639 1678644) (-1001 "RADUTIL.spad" 1677722 1677731 1677958 1677963) (-1000 "RADIX.spad" 1674623 1674637 1676189 1676282) (-999 "RADFF.spad" 1673037 1673073 1673155 1673311) (-998 "RADCAT.spad" 1672631 1672639 1673027 1673032) (-997 "RADCAT.spad" 1672223 1672233 1672621 1672626) (-996 "QUEUE.spad" 1671566 1671576 1671830 1671857) (-995 "QUAT.spad" 1670148 1670158 1670490 1670555) (-994 "QUATCT2.spad" 1669767 1669785 1670138 1670143) (-993 "QUATCAT.spad" 1667932 1667942 1669697 1669762) (-992 "QUATCAT.spad" 1665848 1665860 1667615 1667620) (-991 "QUAGG.spad" 1664674 1664684 1665816 1665843) (-990 "QQUTAST.spad" 1664443 1664451 1664664 1664669) (-989 "QFORM.spad" 1663906 1663920 1664433 1664438) (-988 "QFCAT.spad" 1662609 1662619 1663808 1663901) (-987 "QFCAT.spad" 1660903 1660915 1662104 1662109) (-986 "QFCAT2.spad" 1660594 1660610 1660893 1660898) (-985 "QEQUAT.spad" 1660151 1660159 1660584 1660589) (-984 "QCMPACK.spad" 1654898 1654917 1660141 1660146) (-983 "QALGSET.spad" 1650973 1651005 1654812 1654817) (-982 "QALGSET2.spad" 1648969 1648987 1650963 1650968) (-981 "PWFFINTB.spad" 1646279 1646300 1648959 1648964) (-980 "PUSHVAR.spad" 1645608 1645627 1646269 1646274) (-979 "PTRANFN.spad" 1641734 1641744 1645598 1645603) (-978 "PTPACK.spad" 1638822 1638832 1641724 1641729) (-977 "PTFUNC2.spad" 1638643 1638657 1638812 1638817) (-976 "PTCAT.spad" 1637892 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(-826 "OMSAGG.spad" 1376607 1376617 1376775 1376814) (-825 "OMPKG.spad" 1375219 1375227 1376597 1376602) (-824 "OM.spad" 1374184 1374192 1375209 1375214) (-823 "OMLO.spad" 1373609 1373621 1374070 1374109) (-822 "OMEXPR.spad" 1373443 1373453 1373599 1373604) (-821 "OMERR.spad" 1372986 1372994 1373433 1373438) (-820 "OMERRK.spad" 1372020 1372028 1372976 1372981) (-819 "OMENC.spad" 1371364 1371372 1372010 1372015) (-818 "OMDEV.spad" 1365653 1365661 1371354 1371359) (-817 "OMCONN.spad" 1365062 1365070 1365643 1365648) (-816 "OINTDOM.spad" 1364825 1364833 1364988 1365057) (-815 "OFMONOID.spad" 1361012 1361022 1364815 1364820) (-814 "ODVAR.spad" 1360273 1360283 1361002 1361007) (-813 "ODR.spad" 1359917 1359943 1360085 1360234) (-812 "ODPOL.spad" 1357299 1357309 1357639 1357766) (-811 "ODP.spad" 1347146 1347166 1347519 1347650) (-810 "ODETOOLS.spad" 1345729 1345748 1347136 1347141) (-809 "ODESYS.spad" 1343379 1343396 1345719 1345724) (-808 "ODERTRIC.spad" 1339320 1339337 1343336 1343341) (-807 "ODERED.spad" 1338707 1338731 1339310 1339315) (-806 "ODERAT.spad" 1336258 1336275 1338697 1338702) (-805 "ODEPRRIC.spad" 1333149 1333171 1336248 1336253) (-804 "ODEPROB.spad" 1332406 1332414 1333139 1333144) (-803 "ODEPRIM.spad" 1329680 1329702 1332396 1332401) (-802 "ODEPAL.spad" 1329056 1329080 1329670 1329675) (-801 "ODEPACK.spad" 1315658 1315666 1329046 1329051) (-800 "ODEINT.spad" 1315089 1315105 1315648 1315653) (-799 "ODEIFTBL.spad" 1312484 1312492 1315079 1315084) (-798 "ODEEF.spad" 1307851 1307867 1312474 1312479) (-797 "ODECONST.spad" 1307370 1307388 1307841 1307846) (-796 "ODECAT.spad" 1305966 1305974 1307360 1307365) (-795 "OCT.spad" 1304104 1304114 1304820 1304859) (-794 "OCTCT2.spad" 1303748 1303769 1304094 1304099) (-793 "OC.spad" 1301522 1301532 1303704 1303743) (-792 "OC.spad" 1299021 1299033 1301205 1301210) (-791 "OCAMON.spad" 1298869 1298877 1299011 1299016) (-790 "OASGP.spad" 1298684 1298692 1298859 1298864) (-789 "OAMONS.spad" 1298204 1298212 1298674 1298679) (-788 "OAMON.spad" 1298065 1298073 1298194 1298199) (-787 "OAGROUP.spad" 1297927 1297935 1298055 1298060) (-786 "NUMTUBE.spad" 1297514 1297530 1297917 1297922) (-785 "NUMQUAD.spad" 1285376 1285384 1297504 1297509) (-784 "NUMODE.spad" 1276512 1276520 1285366 1285371) (-783 "NUMINT.spad" 1274070 1274078 1276502 1276507) (-782 "NUMFMT.spad" 1272910 1272918 1274060 1274065) (-781 "NUMERIC.spad" 1264982 1264992 1272715 1272720) (-780 "NTSCAT.spad" 1263484 1263500 1264950 1264977) (-779 "NTPOLFN.spad" 1263029 1263039 1263401 1263406) (-778 "NSUP.spad" 1256075 1256085 1260615 1260768) (-777 "NSUP2.spad" 1255467 1255479 1256065 1256070) (-776 "NSMP.spad" 1251698 1251717 1252006 1252133) (-775 "NREP.spad" 1250070 1250084 1251688 1251693) (-774 "NPCOEF.spad" 1249316 1249336 1250060 1250065) (-773 "NORMRETR.spad" 1248914 1248953 1249306 1249311) (-772 "NORMPK.spad" 1246816 1246835 1248904 1248909) (-771 "NORMMA.spad" 1246504 1246530 1246806 1246811) (-770 "NONE.spad" 1246245 1246253 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"FORMULA.spad" 645654 645662 648180 648185) (-393 "FORMULA1.spad" 645133 645143 645644 645649) (-392 "FORDER.spad" 644824 644848 645123 645128) (-391 "FOP.spad" 644025 644033 644814 644819) (-390 "FNLA.spad" 643449 643471 643993 644020) (-389 "FNCAT.spad" 642036 642044 643439 643444) (-388 "FNAME.spad" 641928 641936 642026 642031) (-387 "FMTC.spad" 641726 641734 641854 641923) (-386 "FMONOID.spad" 638781 638791 641682 641687) (-385 "FM.spad" 638476 638488 638715 638742) (-384 "FMFUN.spad" 635506 635514 638466 638471) (-383 "FMC.spad" 634558 634566 635496 635501) (-382 "FMCAT.spad" 632212 632230 634526 634553) (-381 "FM1.spad" 631569 631581 632146 632173) (-380 "FLOATRP.spad" 629290 629304 631559 631564) (-379 "FLOAT.spad" 622578 622586 629156 629285) (-378 "FLOATCP.spad" 619995 620009 622568 622573) (-377 "FLINEXP.spad" 619707 619717 619975 619990) (-376 "FLINEXP.spad" 619373 619385 619643 619648) (-375 "FLASORT.spad" 618693 618705 619363 619368) (-374 "FLALG.spad" 616339 616358 618619 618688) (-373 "FLAGG.spad" 613357 613367 616319 616334) (-372 "FLAGG.spad" 610276 610288 613240 613245) (-371 "FLAGG2.spad" 608957 608973 610266 610271) (-370 "FINRALG.spad" 606986 606999 608913 608952) (-369 "FINRALG.spad" 604941 604956 606870 606875) (-368 "FINITE.spad" 604093 604101 604931 604936) (-367 "FINAALG.spad" 593074 593084 604035 604088) (-366 "FINAALG.spad" 582067 582079 593030 593035) (-365 "FILE.spad" 581650 581660 582057 582062) (-364 "FILECAT.spad" 580168 580185 581640 581645) (-363 "FIELD.spad" 579574 579582 580070 580163) (-362 "FIELD.spad" 579066 579076 579564 579569) (-361 "FGROUP.spad" 577675 577685 579046 579061) (-360 "FGLMICPK.spad" 576462 576477 577665 577670) (-359 "FFX.spad" 575837 575852 576178 576271) (-358 "FFSLPE.spad" 575326 575347 575827 575832) (-357 "FFPOLY.spad" 566578 566589 575316 575321) (-356 "FFPOLY2.spad" 565638 565655 566568 566573) (-355 "FFP.spad" 565035 565055 565354 565447) (-354 "FF.spad" 564483 564499 564716 564809) (-353 "FFNBX.spad" 562995 563015 564199 564292) (-352 "FFNBP.spad" 561508 561525 562711 562804) (-351 "FFNB.spad" 559973 559994 561189 561282) (-350 "FFINTBAS.spad" 557387 557406 559963 559968) (-349 "FFIELDC.spad" 554962 554970 557289 557382) (-348 "FFIELDC.spad" 552623 552633 554952 554957) (-347 "FFHOM.spad" 551371 551388 552613 552618) (-346 "FFF.spad" 548806 548817 551361 551366) (-345 "FFCGX.spad" 547653 547673 548522 548615) (-344 "FFCGP.spad" 546542 546562 547369 547462) (-343 "FFCG.spad" 545334 545355 546223 546316) (-342 "FFCAT.spad" 538361 538383 545173 545329) (-341 "FFCAT.spad" 531467 531491 538281 538286) (-340 "FFCAT2.spad" 531212 531252 531457 531462) (-339 "FEXPR.spad" 522921 522967 530968 531007) (-338 "FEVALAB.spad" 522627 522637 522911 522916) (-337 "FEVALAB.spad" 522118 522130 522404 522409) (-336 "FDIV.spad" 521560 521584 522108 522113) (-335 "FDIVCAT.spad" 519602 519626 521550 521555) (-334 "FDIVCAT.spad" 517642 517668 519592 519597) (-333 "FDIV2.spad" 517296 517336 517632 517637) (-332 "FCPAK1.spad" 515849 515857 517286 517291) (-331 "FCOMP.spad" 515228 515238 515839 515844) (-330 "FC.spad" 505143 505151 515218 515223) (-329 "FAXF.spad" 498078 498092 505045 505138) (-328 "FAXF.spad" 491065 491081 498034 498039) (-327 "FARRAY.spad" 489211 489221 490248 490275) (-326 "FAMR.spad" 487331 487343 489109 489206) (-325 "FAMR.spad" 485435 485449 487215 487220) (-324 "FAMONOID.spad" 485085 485095 485389 485394) (-323 "FAMONC.spad" 483307 483319 485075 485080) (-322 "FAGROUP.spad" 482913 482923 483203 483230) (-321 "FACUTIL.spad" 481109 481126 482903 482908) (-320 "FACTFUNC.spad" 480285 480295 481099 481104) (-319 "EXPUPXS.spad" 477118 477141 478417 478566) (-318 "EXPRTUBE.spad" 474346 474354 477108 477113) (-317 "EXPRODE.spad" 471218 471234 474336 474341) (-316 "EXPR.spad" 466493 466503 467207 467614) (-315 "EXPR2UPS.spad" 462585 462598 466483 466488) (-314 "EXPR2.spad" 462288 462300 462575 462580) (-313 "EXPEXPAN.spad" 459226 459251 459860 459953) (-312 "EXIT.spad" 458897 458905 459216 459221) (-311 "EXITAST.spad" 458633 458641 458887 458892) (-310 "EVALCYC.spad" 458091 458105 458623 458628) (-309 "EVALAB.spad" 457655 457665 458081 458086) (-308 "EVALAB.spad" 457217 457229 457645 457650) (-307 "EUCDOM.spad" 454759 454767 457143 457212) (-306 "EUCDOM.spad" 452363 452373 454749 454754) (-305 "ESTOOLS.spad" 444203 444211 452353 452358) (-304 "ESTOOLS2.spad" 443804 443818 444193 444198) (-303 "ESTOOLS1.spad" 443489 443500 443794 443799) (-302 "ES.spad" 436036 436044 443479 443484) (-301 "ES.spad" 428489 428499 435934 435939) (-300 "ESCONT.spad" 425262 425270 428479 428484) (-299 "ESCONT1.spad" 425011 425023 425252 425257) (-298 "ES2.spad" 424506 424522 425001 425006) (-297 "ES1.spad" 424072 424088 424496 424501) (-296 "ERROR.spad" 421393 421401 424062 424067) (-295 "EQTBL.spad" 419865 419887 420074 420101) (-294 "EQ.spad" 414739 414749 417538 417650) (-293 "EQ2.spad" 414455 414467 414729 414734) (-292 "EP.spad" 410769 410779 414445 414450) (-291 "ENV.spad" 409421 409429 410759 410764) (-290 "ENTIRER.spad" 409089 409097 409365 409416) (-289 "EMR.spad" 408290 408331 409015 409084) (-288 "ELTAGG.spad" 406530 406549 408280 408285) (-287 "ELTAGG.spad" 404734 404755 406486 406491) (-286 "ELTAB.spad" 404181 404199 404724 404729) (-285 "ELFUTS.spad" 403560 403579 404171 404176) (-284 "ELEMFUN.spad" 403249 403257 403550 403555) (-283 "ELEMFUN.spad" 402936 402946 403239 403244) (-282 "ELAGG.spad" 400879 400889 402916 402931) (-281 "ELAGG.spad" 398759 398771 400798 400803) (-280 "ELABEXPR.spad" 397682 397690 398749 398754) (-279 "EFUPXS.spad" 394458 394488 397638 397643) (-278 "EFULS.spad" 391294 391317 394414 394419) (-277 "EFSTRUC.spad" 389249 389265 391284 391289) (-276 "EF.spad" 384015 384031 389239 389244) (-275 "EAB.spad" 382291 382299 384005 384010) (-274 "E04UCFA.spad" 381827 381835 382281 382286) (-273 "E04NAFA.spad" 381404 381412 381817 381822) (-272 "E04MBFA.spad" 380984 380992 381394 381399) (-271 "E04JAFA.spad" 380520 380528 380974 380979) (-270 "E04GCFA.spad" 380056 380064 380510 380515) (-269 "E04FDFA.spad" 379592 379600 380046 380051) (-268 "E04DGFA.spad" 379128 379136 379582 379587) (-267 "E04AGNT.spad" 374970 374978 379118 379123) (-266 "DVARCAT.spad" 371655 371665 374960 374965) (-265 "DVARCAT.spad" 368338 368350 371645 371650) (-264 "DSMP.spad" 365805 365819 366110 366237) (-263 "DROPT.spad" 359750 359758 365795 365800) (-262 "DROPT1.spad" 359413 359423 359740 359745) (-261 "DROPT0.spad" 354240 354248 359403 359408) (-260 "DRAWPT.spad" 352395 352403 354230 354235) (-259 "DRAW.spad" 344995 345008 352385 352390) (-258 "DRAWHACK.spad" 344303 344313 344985 344990) (-257 "DRAWCX.spad" 341745 341753 344293 344298) (-256 "DRAWCURV.spad" 341282 341297 341735 341740) (-255 "DRAWCFUN.spad" 330454 330462 341272 341277) (-254 "DQAGG.spad" 328622 328632 330422 330449) (-253 "DPOLCAT.spad" 323963 323979 328490 328617) (-252 "DPOLCAT.spad" 319390 319408 323919 323924) (-251 "DPMO.spad" 311616 311632 311754 312055) (-250 "DPMM.spad" 303855 303873 303980 304281) (-249 "DOMCTOR.spad" 303747 303755 303845 303850) (-248 "DOMAIN.spad" 302878 302886 303737 303742) (-247 "DMP.spad" 300136 300151 300708 300835) (-246 "DLP.spad" 299484 299494 300126 300131) (-245 "DLIST.spad" 298063 298073 298667 298694) (-244 "DLAGG.spad" 296474 296484 298053 298058) (-243 "DIVRING.spad" 296016 296024 296418 296469) (-242 "DIVRING.spad" 295602 295612 296006 296011) (-241 "DISPLAY.spad" 293782 293790 295592 295597) (-240 "DIRPROD.spad" 283362 283378 284002 284133) (-239 "DIRPROD2.spad" 282170 282188 283352 283357) (-238 "DIRPCAT.spad" 281112 281128 282034 282165) (-237 "DIRPCAT.spad" 279783 279801 280707 280712) (-236 "DIOSP.spad" 278608 278616 279773 279778) (-235 "DIOPS.spad" 277592 277602 278588 278603) (-234 "DIOPS.spad" 276550 276562 277548 277553) (-233 "DIFRING.spad" 275842 275850 276530 276545) (-232 "DIFRING.spad" 275142 275152 275832 275837) (-231 "DIFEXT.spad" 274301 274311 275122 275137) (-230 "DIFEXT.spad" 273377 273389 274200 274205) (-229 "DIAGG.spad" 273007 273017 273357 273372) (-228 "DIAGG.spad" 272645 272657 272997 273002) (-227 "DHMATRIX.spad" 270949 270959 272102 272129) (-226 "DFSFUN.spad" 264357 264365 270939 270944) (-225 "DFLOAT.spad" 261078 261086 264247 264352) (-224 "DFINTTLS.spad" 259287 259303 261068 261073) (-223 "DERHAM.spad" 257197 257229 259267 259282) (-222 "DEQUEUE.spad" 256515 256525 256804 256831) (-221 "DEGRED.spad" 256130 256144 256505 256510) (-220 "DEFINTRF.spad" 253655 253665 256120 256125) (-219 "DEFINTEF.spad" 252151 252167 253645 253650) (-218 "DEFAST.spad" 251519 251527 252141 252146) (-217 "DECIMAL.spad" 249625 249633 249986 250079) (-216 "DDFACT.spad" 247424 247441 249615 249620) (-215 "DBLRESP.spad" 247022 247046 247414 247419) (-214 "DBASE.spad" 245676 245686 247012 247017) (-213 "DATAARY.spad" 245138 245151 245666 245671) (-212 "D03FAFA.spad" 244966 244974 245128 245133) (-211 "D03EEFA.spad" 244786 244794 244956 244961) (-210 "D03AGNT.spad" 243866 243874 244776 244781) (-209 "D02EJFA.spad" 243328 243336 243856 243861) (-208 "D02CJFA.spad" 242806 242814 243318 243323) (-207 "D02BHFA.spad" 242296 242304 242796 242801) (-206 "D02BBFA.spad" 241786 241794 242286 242291) (-205 "D02AGNT.spad" 236590 236598 241776 241781) (-204 "D01WGTS.spad" 234909 234917 236580 236585) (-203 "D01TRNS.spad" 234886 234894 234899 234904) (-202 "D01GBFA.spad" 234408 234416 234876 234881) (-201 "D01FCFA.spad" 233930 233938 234398 234403) (-200 "D01ASFA.spad" 233398 233406 233920 233925) (-199 "D01AQFA.spad" 232844 232852 233388 233393) (-198 "D01APFA.spad" 232268 232276 232834 232839) (-197 "D01ANFA.spad" 231762 231770 232258 232263) (-196 "D01AMFA.spad" 231272 231280 231752 231757) (-195 "D01ALFA.spad" 230812 230820 231262 231267) (-194 "D01AKFA.spad" 230338 230346 230802 230807) (-193 "D01AJFA.spad" 229861 229869 230328 230333) (-192 "D01AGNT.spad" 225920 225928 229851 229856) (-191 "CYCLOTOM.spad" 225426 225434 225910 225915) (-190 "CYCLES.spad" 222258 222266 225416 225421) (-189 "CVMP.spad" 221675 221685 222248 222253) (-188 "CTRIGMNP.spad" 220165 220181 221665 221670) (-187 "CTOR.spad" 219856 219864 220155 220160) (-186 "CTORKIND.spad" 219459 219467 219846 219851) (-185 "CTORCAT.spad" 218708 218716 219449 219454) (-184 "CTORCAT.spad" 217955 217965 218698 218703) (-183 "CTORCALL.spad" 217535 217543 217945 217950) (-182 "CSTTOOLS.spad" 216778 216791 217525 217530) (-181 "CRFP.spad" 210482 210495 216768 216773) (-180 "CRCEAST.spad" 210202 210210 210472 210477) (-179 "CRAPACK.spad" 209245 209255 210192 210197) (-178 "CPMATCH.spad" 208745 208760 209170 209175) (-177 "CPIMA.spad" 208450 208469 208735 208740) (-176 "COORDSYS.spad" 203343 203353 208440 208445) (-175 "CONTOUR.spad" 202750 202758 203333 203338) (-174 "CONTFRAC.spad" 198362 198372 202652 202745) (-173 "CONDUIT.spad" 198120 198128 198352 198357) (-172 "COMRING.spad" 197794 197802 198058 198115) (-171 "COMPPROP.spad" 197308 197316 197784 197789) (-170 "COMPLPAT.spad" 197075 197090 197298 197303) (-169 "COMPLEX.spad" 191213 191223 191457 191718) (-168 "COMPLEX2.spad" 190926 190938 191203 191208) (-167 "COMPFACT.spad" 190528 190542 190916 190921) (-166 "COMPCAT.spad" 188596 188606 190262 190523) (-165 "COMPCAT.spad" 186393 186405 188061 188066) (-164 "COMMUPC.spad" 186139 186157 186383 186388) (-163 "COMMONOP.spad" 185672 185680 186129 186134) (-162 "COMM.spad" 185481 185489 185662 185667) (-161 "COMMAAST.spad" 185244 185252 185471 185476) (-160 "COMBOPC.spad" 184149 184157 185234 185239) (-159 "COMBINAT.spad" 182894 182904 184139 184144) (-158 "COMBF.spad" 180262 180278 182884 182889) (-157 "COLOR.spad" 179099 179107 180252 180257) (-156 "COLONAST.spad" 178765 178773 179089 179094) (-155 "CMPLXRT.spad" 178474 178491 178755 178760) (-154 "CLLCTAST.spad" 178136 178144 178464 178469) (-153 "CLIP.spad" 174228 174236 178126 178131) (-152 "CLIF.spad" 172867 172883 174184 174223) (-151 "CLAGG.spad" 169352 169362 172857 172862) (-150 "CLAGG.spad" 165708 165720 169215 169220) (-149 "CINTSLPE.spad" 165033 165046 165698 165703) (-148 "CHVAR.spad" 163111 163133 165023 165028) (-147 "CHARZ.spad" 163026 163034 163091 163106) (-146 "CHARPOL.spad" 162534 162544 163016 163021) (-145 "CHARNZ.spad" 162287 162295 162514 162529) (-144 "CHAR.spad" 160155 160163 162277 162282) (-143 "CFCAT.spad" 159471 159479 160145 160150) (-142 "CDEN.spad" 158629 158643 159461 159466) (-141 "CCLASS.spad" 156778 156786 158040 158079) (-140 "CATEGORY.spad" 155868 155876 156768 156773) (-139 "CATCTOR.spad" 155759 155767 155858 155863) (-138 "CATAST.spad" 155377 155385 155749 155754) (-137 "CASEAST.spad" 155091 155099 155367 155372) (-136 "CARTEN.spad" 150194 150218 155081 155086) (-135 "CARTEN2.spad" 149580 149607 150184 150189) (-134 "CARD.spad" 146869 146877 149554 149575) (-133 "CAPSLAST.spad" 146643 146651 146859 146864) (-132 "CACHSET.spad" 146265 146273 146633 146638) (-131 "CABMON.spad" 145818 145826 146255 146260) (-130 "BYTEORD.spad" 145493 145501 145808 145813) (-129 "BYTE.spad" 144918 144926 145483 145488) (-128 "BYTEBUF.spad" 142775 142783 144087 144114) (-127 "BTREE.spad" 141844 141854 142382 142409) (-126 "BTOURN.spad" 140847 140857 141451 141478) (-125 "BTCAT.spad" 140235 140245 140815 140842) (-124 "BTCAT.spad" 139643 139655 140225 140230) (-123 "BTAGG.spad" 138765 138773 139611 139638) (-122 "BTAGG.spad" 137907 137917 138755 138760) (-121 "BSTREE.spad" 136642 136652 137514 137541) (-120 "BRILL.spad" 134837 134848 136632 136637) (-119 "BRAGG.spad" 133761 133771 134827 134832) (-118 "BRAGG.spad" 132649 132661 133717 133722) (-117 "BPADICRT.spad" 130630 130642 130885 130978) (-116 "BPADIC.spad" 130294 130306 130556 130625) (-115 "BOUNDZRO.spad" 129950 129967 130284 130289) (-114 "BOP.spad" 124968 124976 129940 129945) (-113 "BOP1.spad" 122354 122364 124924 124929) (-112 "BOOLEAN.spad" 121678 121686 122344 122349) (-111 "BMODULE.spad" 121390 121402 121646 121673) (-110 "BITS.spad" 120809 120817 121026 121053) (-109 "BINDING.spad" 120220 120228 120799 120804) (-108 "BINARY.spad" 118331 118339 118687 118780) (-107 "BGAGG.spad" 117528 117538 118311 118326) (-106 "BGAGG.spad" 116733 116745 117518 117523) (-105 "BFUNCT.spad" 116297 116305 116713 116728) (-104 "BEZOUT.spad" 115431 115458 116247 116252) (-103 "BBTREE.spad" 112250 112260 115038 115065) (-102 "BASTYPE.spad" 111922 111930 112240 112245) (-101 "BASTYPE.spad" 111592 111602 111912 111917) (-100 "BALFACT.spad" 111031 111044 111582 111587) (-99 "AUTOMOR.spad" 110478 110487 111011 111026) (-98 "ATTREG.spad" 107197 107204 110230 110473) (-97 "ATTRBUT.spad" 103220 103227 107177 107192) (-96 "ATTRAST.spad" 102937 102944 103210 103215) (-95 "ATRIG.spad" 102407 102414 102927 102932) (-94 "ATRIG.spad" 101875 101884 102397 102402) (-93 "ASTCAT.spad" 101779 101786 101865 101870) (-92 "ASTCAT.spad" 101681 101690 101769 101774) (-91 "ASTACK.spad" 101014 101023 101288 101315) (-90 "ASSOCEQ.spad" 99814 99825 100970 100975) (-89 "ASP9.spad" 98895 98908 99804 99809) (-88 "ASP8.spad" 97938 97951 98885 98890) (-87 "ASP80.spad" 97260 97273 97928 97933) (-86 "ASP7.spad" 96420 96433 97250 97255) (-85 "ASP78.spad" 95871 95884 96410 96415) (-84 "ASP77.spad" 95240 95253 95861 95866) (-83 "ASP74.spad" 94332 94345 95230 95235) (-82 "ASP73.spad" 93603 93616 94322 94327) (-81 "ASP6.spad" 92470 92483 93593 93598) (-80 "ASP55.spad" 90979 90992 92460 92465) (-79 "ASP50.spad" 88796 88809 90969 90974) (-78 "ASP4.spad" 88091 88104 88786 88791) (-77 "ASP49.spad" 87090 87103 88081 88086) (-76 "ASP42.spad" 85497 85536 87080 87085) (-75 "ASP41.spad" 84076 84115 85487 85492) (-74 "ASP35.spad" 83064 83077 84066 84071) (-73 "ASP34.spad" 82365 82378 83054 83059) (-72 "ASP33.spad" 81925 81938 82355 82360) (-71 "ASP31.spad" 81065 81078 81915 81920) (-70 "ASP30.spad" 79957 79970 81055 81060) (-69 "ASP29.spad" 79423 79436 79947 79952) (-68 "ASP28.spad" 70696 70709 79413 79418) (-67 "ASP27.spad" 69593 69606 70686 70691) (-66 "ASP24.spad" 68680 68693 69583 69588) (-65 "ASP20.spad" 68144 68157 68670 68675) (-64 "ASP1.spad" 67525 67538 68134 68139) (-63 "ASP19.spad" 62211 62224 67515 67520) (-62 "ASP12.spad" 61625 61638 62201 62206) (-61 "ASP10.spad" 60896 60909 61615 61620) (-60 "ARRAY2.spad" 60256 60265 60503 60530) (-59 "ARRAY1.spad" 59091 59100 59439 59466) (-58 "ARRAY12.spad" 57760 57771 59081 59086) (-57 "ARR2CAT.spad" 53422 53443 57728 57755) (-56 "ARR2CAT.spad" 49104 49127 53412 53417) (-55 "ARITY.spad" 48476 48483 49094 49099) (-54 "APPRULE.spad" 47720 47742 48466 48471) (-53 "APPLYORE.spad" 47335 47348 47710 47715) (-52 "ANY.spad" 45677 45684 47325 47330) (-51 "ANY1.spad" 44748 44757 45667 45672) (-50 "ANTISYM.spad" 43187 43203 44728 44743) (-49 "ANON.spad" 42880 42887 43177 43182) (-48 "AN.spad" 41181 41188 42696 42789) (-47 "AMR.spad" 39360 39371 41079 41176) (-46 "AMR.spad" 37376 37389 39097 39102) (-45 "ALIST.spad" 34788 34809 35138 35165) (-44 "ALGSC.spad" 33911 33937 34660 34713) (-43 "ALGPKG.spad" 29620 29631 33867 33872) (-42 "ALGMFACT.spad" 28809 28823 29610 29615) (-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 be17bbae..3362c5b6 100644 --- a/src/share/algebra/category.daase +++ b/src/share/algebra/category.daase @@ -1,5 +1,5 @@ -(162119 . 3451919713) +(161804 . 3452194362) (((|#2| |#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094))) ((#0=(-2 (|:| -3026 |#1|) (|:| -3683 |#2|)) #0#) |has| (-2 (|:| -3026 |#1|) (|:| -3683 |#2|)) (-309 (-2 (|:| -3026 |#1|) (|:| -3683 |#2|))))) ((((-564)) . T) (($) -2733 (|has| |#1| (-307)) (|has| |#1| (-363)) (|has| |#1| (-349)) (|has| |#1| (-556))) (((-407 (-564))) -2733 (|has| |#1| (-363)) (|has| |#1| (-349)) (|has| |#1| (-1034 (-407 (-564))))) ((|#1|) . T)) (((|#2| |#2|) . T)) @@ -70,7 +70,7 @@ ((((-564)) . T) (((-407 (-564))) -2733 (|has| |#2| (-38 (-407 (-564)))) (|has| |#2| (-1034 (-407 (-564))))) ((|#2|) . T) (($) -2733 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-905))) (((-860 |#1|)) . T)) (-2733 (|has| |#1| (-363)) (|has| |#1| (-556))) (-2733 (|has| |#1| (-363)) (|has| |#1| (-556))) -((((-2 (|:| -2014 |#1|) (|:| -4165 |#2|))) . T)) +((((-2 (|:| -2014 |#1|) (|:| -2997 |#2|))) . T)) ((($) . T)) ((((-564)) . T) (((-407 (-564))) -2733 (|has| |#1| (-38 (-407 (-564)))) (|has| |#1| (-1034 (-407 (-564))))) ((|#1|) . T) (($) -2733 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-905))) (((-1170)) . T)) ((((-858)) -2733 (|has| |#1| (-611 (-858))) (|has| |#1| (-846)) (|has| |#1| (-1094)))) @@ -266,11 +266,11 @@ ((((-536)) |has| |#2| (-612 (-536))) (((-888 (-379))) |has| |#2| (-612 (-888 (-379)))) (((-888 (-564))) |has| |#2| (-612 (-888 (-564))))) ((((-858)) . T)) (((|#1| |#2| |#3| |#4|) . T)) -((((-2 (|:| -2014 |#1|) (|:| -4165 |#2|))) . T) (((-858)) . T)) +((((-2 (|:| -2014 |#1|) (|:| -2997 |#2|))) . T) (((-858)) . T)) ((((-536)) |has| |#1| (-612 (-536))) (((-888 (-379))) |has| |#1| (-612 (-888 (-379)))) (((-888 (-564))) |has| |#1| (-612 (-888 (-564))))) (((|#4|) -2733 (|has| |#4| (-172)) (|has| |#4| (-363)) (|has| |#4| (-1045))) (($) |has| |#4| (-172))) (((|#3|) -2733 (|has| |#3| (-172)) (|has| |#3| (-363)) (|has| |#3| (-1045))) (($) |has| |#3| (-172))) -((((-2 (|:| -2014 |#1|) (|:| -4165 |#2|))) . T)) +((((-2 (|:| -2014 |#1|) (|:| -2997 |#2|))) . T)) ((((-858)) . T)) ((((-858)) . T)) ((((-536)) . T) (((-564)) . T) (((-888 (-564))) . T) (((-379)) . T) (((-225)) . T)) @@ -371,18 +371,17 @@ ((((-407 |#2|) |#3|) . T)) (|has| |#1| (-15 * (|#1| (-564) |#1|))) ((((-407 (-564))) . T) (($) . T)) -(|has| |#1| (-846)) +(((|#1|) . T)) (((|#1|) . T) (($) . T)) ((((-407 (-564))) . T) (($) . T)) ((((-858)) . T)) -(((|#1|) . T)) ((((-407 (-564))) |has| |#1| (-38 (-407 (-564)))) ((|#1|) |has| |#1| (-172)) (($) |has| |#1| (-556))) (|has| |#1| (-363)) (-2733 (-12 (|has| (-1251 |#1| |#2| |#3|) (-233)) (|has| |#1| (-363))) (|has| |#1| (-15 * (|#1| (-564) |#1|)))) (|has| |#1| (-15 * (|#1| (-407 (-564)) |#1|))) (|has| |#1| (-363)) -((((-564)) . T)) (|has| |#1| (-15 * (|#1| (-767) |#1|))) +((((-564)) . T)) ((((-1136 |#2| (-407 (-948 |#1|)))) . T) (((-407 (-948 |#1|))) . T)) ((($) . T)) (((|#1|) |has| |#1| (-172)) (($) . T)) @@ -1189,14 +1188,10 @@ (-2733 (|has| |#1| (-172)) (|has| |#1| (-556))) ((($) . T)) (((#0=(-2 (|:| -3026 (-1170)) (|:| -3683 (-52))) #0#) |has| (-2 (|:| -3026 (-1170)) (|:| -3683 (-52))) (-309 (-2 (|:| -3026 (-1170)) (|:| -3683 (-52)))))) -(|has| |#2| (-846)) ((($) . T)) (((|#2|) |has| |#2| (-1094))) ((((-858)) -2733 (|has| |#2| (-25)) (|has| |#2| (-131)) (|has| |#2| (-611 (-858))) (|has| |#2| (-172)) (|has| |#2| (-363)) (|has| |#2| (-368)) (|has| |#2| (-722)) (|has| |#2| (-789)) (|has| |#2| (-844)) (|has| |#2| (-1045)) (|has| |#2| (-1094))) (((-1259 |#2|)) . T)) -(|has| |#1| (-846)) -(|has| |#1| (-846)) ((((-1152) (-52)) . T)) -(|has| |#1| (-846)) ((((-858)) . T)) ((((-564)) |has| #0=(-407 |#2|) (-637 (-564))) ((#0#) . T)) ((($) . T) (((-564)) . T)) @@ -1551,8 +1546,6 @@ (((|#4| |#4|) -12 (|has| |#4| (-309 |#4|)) (|has| |#4| (-1094)))) (((|#1|) |has| |#1| (-172))) (((|#4| |#4|) -12 (|has| |#4| (-309 |#4|)) (|has| |#4| (-1094)))) -(|has| |#2| (-846)) -(|has| |#1| (-846)) (((|#3|) -2733 (|has| |#3| (-172)) (|has| |#3| (-363)))) (-2733 (|has| |#2| (-363)) (|has| |#2| (-452)) (|has| |#2| (-905))) ((($ $) . T) ((#0=(-407 (-564)) #0#) . T)) @@ -1903,7 +1896,6 @@ ((((-858)) . T)) (((|#1|) . T)) (((|#2|) |has| |#2| (-1094))) -(|has| |#2| (-846)) (((|#1|) . T)) ((((-407 |#2|)) . T) (((-407 (-564))) . T) (($) . T) (((-564)) . T)) ((((-641 $)) . T) (((-1152)) . T) (((-1170)) . T) (((-564)) . T) (((-225)) . T) (((-858)) . T)) @@ -1911,15 +1903,14 @@ (((|#1|) . T)) ((((-858)) . T)) ((($) . T)) -(|has| |#1| (-846)) -((((-858)) . T)) (((|#1| (-531 |#2|) |#2|) . T)) +((((-858)) . T)) (((|#1| (-564) (-1076)) . T)) +(((|#1| (-407 (-564)) (-1076)) . T)) ((((-906 |#1|)) . T)) ((((-858)) . T)) (((|#1| |#2|) . T)) (((|#1|) . T)) -(((|#1| (-407 (-564)) (-1076)) . T)) (((|#1| (-767) (-1076)) . T)) (((#0=(-407 |#2|) #0#) . T) ((#1=(-407 (-564)) #1#) . T) (($ $) . T)) (((|#1|) . T) (((-564)) -2733 (|has| (-407 (-564)) (-1034 (-564))) (|has| |#1| (-1034 (-564)))) (((-407 (-564))) . T)) @@ -1964,12 +1955,10 @@ (-2733 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-905))) (((|#1|) . T)) (((|#2|) . T)) -(|has| |#2| (-846)) +(((|#3|) |has| |#3| (-1045))) (|has| |#2| (-905)) (|has| |#1| (-905)) (|has| |#1| (-363)) -(|has| |#1| (-846)) -(((|#3|) |has| |#3| (-1045))) ((((-1170)) |has| |#2| (-896 (-1170)))) ((((-858)) . T)) ((((-2 (|:| -3026 |#1|) (|:| -3683 |#2|))) . T)) @@ -2039,8 +2028,6 @@ ((((-858)) . T)) (-2733 (|has| |#2| (-452)) (|has| |#2| (-905))) (((|#1|) . T)) -(|has| |#1| (-846)) -(|has| |#1| (-846)) ((((-858)) -2733 (|has| |#1| (-611 (-858))) (|has| |#1| (-1094)))) ((((-536)) |has| |#1| (-612 (-536)))) (((|#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094)))) @@ -2173,7 +2160,6 @@ (((|#1|) -12 (|has| |#1| (-309 |#1|)) (|has| |#1| (-1094))) (((-2 (|:| -3026 (-1152)) (|:| -3683 |#1|))) |has| (-2 (|:| -3026 (-1152)) (|:| -3683 |#1|)) (-309 (-2 (|:| -3026 (-1152)) (|:| -3683 |#1|))))) (|has| |#1| (-1094)) (|has| |#1| (-363)) -(|has| |#1| (-846)) (((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) @@ -2243,9 +2229,9 @@ ((((-2 (|:| -3026 |#1|) (|:| -3683 |#2|))) . T)) (((|#1|) . T)) (-2733 (|has| |#1| (-145)) (|has| |#1| (-147)) (|has| |#1| (-172)) (|has| |#1| (-556)) (|has| |#1| (-1045))) -(((|#1| (-59 |#1|) (-59 |#1|)) . T)) ((((-581 |#1|)) . T)) ((($) . T)) +(((|#1| (-59 |#1|) (-59 |#1|)) . T)) (((|#1|) . T)) (((|#1|) . T)) ((($) . T)) @@ -2355,7 +2341,6 @@ (((|#2|) -2733 (|has| |#2| (-6 (-4409 "*"))) (|has| |#2| (-172)))) (-2733 (|has| |#2| (-452)) (|has| |#2| (-556)) (|has| |#2| (-905))) (-2733 (|has| |#1| (-452)) (|has| |#1| (-556)) (|has| |#1| (-905))) -(|has| |#2| (-846)) (|has| |#2| (-905)) (|has| |#1| (-905)) (((|#2|) |has| |#2| (-172))) @@ -3282,12 +3267,12 @@ ((((-1175)) . T)) ((((-1175)) . T)) (((|#1|) |has| |#1| (-172))) +((((-1175)) . T)) ((((-407 (-564))) . T) (($) . T)) (((|#1| (-564)) . T)) ((((-1175)) . T)) ((((-1175)) . T)) ((((-1175)) . T)) -((((-1175)) . T)) (-2733 (|has| |#1| (-363)) (|has| |#1| (-349))) (-2733 (|has| |#1| (-363)) (|has| |#1| (-349))) ((((-1175)) . 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. -349) NIL) ((-519 . -611) 148821) ((-379 . -791) T) ((-223 . -1094) T) ((-379 . -788) T) ((-225 . -790) T) ((-225 . -787) T) ((-59 . -612) 148782) ((-59 . -611) 148694) ((-225 . -722) T) ((-516 . -612) 148655) ((-516 . -611) 148567) ((-497 . -611) 148499) ((-496 . -612) 148460) ((-496 . -611) 148372) ((-1074 . -363) 148323) ((-40 . -411) 148300) ((-77 . -1209) T) ((-867 . -905) NIL) ((-359 . -329) 148284) ((-359 . -363) T) ((-353 . -329) 148268) ((-353 . -363) T) ((-345 . -329) 148252) ((-345 . -363) T) ((-316 . -284) 148231) ((-108 . -363) T) ((-70 . -1209) T) ((-1223 . -338) 148183) ((-867 . -644) 148128) ((-1223 . -377) 148080) ((-960 . -131) 147935) ((-811 . -131) 147805) ((-954 . -647) 147789) ((-1081 . -172) 147700) ((-954 . -373) 147684) ((-1056 . -790) T) ((-1056 . -787) T) ((-868 . -614) 147582) ((-778 . -172) 147473) ((-776 . -172) 147384) ((-812 . -47) 147346) ((-1056 . -722) T) ((-327 . -489) 147330) ((-948 . -722) T) ((-454 . -172) 147241) ((-245 . -286) 147218) ((-1272 . -309) 147156) ((-1251 . -896) 147069) ((-481 . -722) T) ((-1244 . -896) 146975) ((-1243 . -1051) 146810) ((-1223 . -896) 146643) ((-1222 . -1051) 146451) ((-1203 . -290) 146430) ((-1179 . -1209) T) ((-1177 . -368) T) ((-1176 . -368) T) ((-1140 . -151) 146414) ((-1114 . -102) T) ((-1112 . -1094) T) ((-1074 . -23) T) ((-1069 . -102) T) ((-923 . -951) T) ((-733 . -309) 146352) ((-75 . -1209) T) ((-30 . -951) T) ((-169 . -905) 146305) ((-660 . -382) 146277) ((-112 . -840) T) ((-1 . -611) 146259) ((-1074 . -1106) T) ((-128 . -647) 146241) ((-50 . -618) 146225) ((-999 . -409) 146197) ((-594 . -896) 146110) ((-438 . -102) T) ((-141 . -309) NIL) ((-128 . -373) 146092) ((-868 . -1045) T) ((-829 . -846) 146071) ((-81 . -1209) T) ((-707 . -290) T) ((-40 . -1052) T) ((-581 . -172) T) ((-518 . -172) T) ((-511 . -611) 146053) ((-169 . -644) 145963) ((-507 . -611) 145945) ((-351 . -147) 145927) ((-351 . -145) T) ((-359 . -1106) T) ((-353 . -1106) T) ((-345 . -1106) T) ((-1000 . -307) T) ((-910 . 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-131) T) ((-394 . -1094) T) ((-690 . -370) 143997) ((-866 . -1052) T) ((-223 . -618) 143974) ((-327 . -286) 143951) ((-474 . -111) 143772) ((-1243 . -1045) T) ((-1222 . -1045) T) ((-812 . -377) 143756) ((-169 . -722) T) ((-650 . -102) T) ((-1243 . -243) 143735) ((-1243 . -233) 143687) ((-1222 . -233) 143592) ((-1222 . -243) 143571) ((-999 . -402) NIL) ((-666 . -637) 143519) ((-316 . -38) 143429) ((-313 . -38) 143358) ((-69 . -611) 143340) ((-319 . -493) 143306) ((-1182 . -288) 143285) ((-1217 . -846) T) ((-1107 . -1106) 143195) ((-83 . -1209) T) ((-61 . -611) 143177) ((-479 . -288) 143156) ((-1274 . -1034) 143133) ((-1158 . -1094) T) ((-1107 . -23) 143003) ((-812 . -896) 142939) ((-1232 . -722) T) ((-1096 . -1209) T) ((-474 . -614) 142765) ((-1081 . -290) 142696) ((-962 . -1094) T) ((-889 . -102) T) ((-778 . -290) 142607) ((-327 . -19) 142591) ((-59 . -288) 142568) ((-776 . -290) 142499) ((-851 . -722) T) ((-117 . -844) NIL) ((-516 . -288) 142476) ((-327 . -602) 142453) ((-496 . -288) 142430) ((-454 . -290) 142361) ((-1031 . -309) 142212) ((-677 . -490) 142193) ((-571 . -722) T) ((-672 . -490) 142174) ((-677 . -611) 142124) ((-672 . -611) 142090) ((-658 . -611) 142072) ((-478 . -490) 142053) ((-478 . -611) 142019) ((-245 . -612) 141980) ((-245 . -490) 141957) ((-138 . -490) 141938) ((-137 . -490) 141919) ((-133 . -490) 141900) ((-245 . -611) 141792) ((-213 . -102) T) ((-138 . -611) 141758) ((-137 . -611) 141724) ((-133 . -611) 141690) ((-1141 . -34) T) ((-939 . -1209) T) ((-343 . -713) 141635) ((-666 . -25) T) ((-666 . -21) T) ((-1170 . -614) 141616) ((-474 . -1045) T) ((-633 . -417) 141581) ((-605 . -417) 141546) ((-1114 . -1145) T) ((-581 . -290) T) ((-518 . -290) T) ((-1244 . -307) 141525) ((-474 . -233) 141477) ((-474 . -243) 141456) ((-1223 . -307) 141435) ((-1223 . -1018) NIL) ((-1074 . -131) T) ((-868 . -791) 141414) ((-144 . -102) T) ((-40 . -1094) T) ((-868 . -788) 141393) ((-641 . -1006) 141377) ((-580 . -1052) T) ((-564 . -1052) T) ((-495 . -1052) T) 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137495) ((-954 . -34) T) ((-355 . -233) 137474) ((-355 . -243) T) ((-352 . -233) 137453) ((-352 . -243) T) ((-344 . -233) 137432) ((-344 . -243) T) ((-247 . -326) 137389) ((-264 . -326) 137361) ((-264 . -233) 137340) ((-1150 . -151) 137324) ((-251 . -896) 137256) ((-250 . -896) 137188) ((-1076 . -846) T) ((-414 . -1106) T) ((-1049 . -23) T) ((-906 . -1045) T) ((-322 . -644) 137170) ((-1020 . -844) T) ((-1203 . -998) 137136) ((-1167 . -916) 137115) ((-1161 . -916) 137094) ((-1161 . -816) NIL) ((-906 . -243) T) ((-813 . -363) 137073) ((-385 . -23) T) ((-127 . -1094) 137051) ((-121 . -1094) 137029) ((-906 . -233) T) ((-128 . -34) T) ((-379 . -644) 136994) ((-866 . -713) 136981) ((-1042 . -151) 136946) ((-40 . -172) T) ((-690 . -411) 136928) ((-708 . -309) 136915) ((-832 . -644) 136875) ((-823 . -644) 136849) ((-319 . -25) T) ((-319 . -21) T) ((-654 . -286) 136828) ((-580 . -1094) T) ((-564 . -1094) T) ((-495 . -1094) T) ((-245 . -288) 136805) ((-313 . -231) 136766) ((-1166 . -882) NIL) ((-55 . -1094) T) ((-1119 . -882) 136625) ((-129 . -846) T) ((-1166 . -1034) 136505) ((-1119 . -1034) 136388) ((-183 . -611) 136370) ((-850 . -1034) 136266) ((-778 . -286) 136193) ((-813 . -1106) T) ((-1030 . -722) T) ((-600 . -647) 136177) ((-1042 . -972) 136106) ((-995 . -102) T) ((-813 . -23) T) ((-708 . -1145) 136084) ((-690 . -1052) T) ((-600 . -373) 136068) ((-351 . -452) T) ((-343 . -290) T) ((-1260 . -1094) T) ((-248 . -1094) T) ((-399 . -102) T) ((-289 . -21) T) ((-289 . -25) T) ((-361 . -722) T) ((-706 . -1094) T) ((-695 . -1094) T) ((-361 . -473) T) ((-1203 . -611) 136050) ((-1166 . -377) 136034) ((-1119 . -377) 136018) ((-1020 . -411) 135980) ((-141 . -229) 135962) ((-379 . -790) T) ((-379 . -787) T) ((-866 . -172) T) ((-379 . -722) T) ((-707 . -611) 135944) ((-708 . -38) 135773) ((-1259 . -1257) 135757) ((-351 . -402) T) ((-1259 . -1094) 135707) ((-580 . -713) 135694) ((-564 . -713) 135681) ((-495 . -713) 135646) ((-316 . -627) 135625) ((-832 . -722) T) ((-823 . -722) T) 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133581) ((-454 . -612) 133442) ((-1031 . -229) 133388) ((-868 . -905) 133367) ((-126 . -34) T) ((-813 . -131) T) ((-645 . -611) 133349) ((-578 . -102) T) ((-355 . -1278) 133333) ((-352 . -1278) 133317) ((-344 . -1278) 133301) ((-127 . -514) 133234) ((-121 . -514) 133167) ((-511 . -788) T) ((-511 . -791) T) ((-510 . -790) T) ((-103 . -309) 133105) ((-222 . -102) 133083) ((-690 . -1094) T) ((-695 . -172) T) ((-868 . -644) 133035) ((-65 . -384) T) ((-275 . -611) 133017) ((-65 . -395) T) ((-948 . -377) 133001) ((-866 . -290) T) ((-50 . -611) 132983) ((-995 . -38) 132931) ((-581 . -611) 132913) ((-481 . -377) 132897) ((-581 . -612) 132879) ((-518 . -611) 132861) ((-906 . -1278) 132848) ((-867 . -1209) T) ((-697 . -452) T) ((-495 . -514) 132814) ((-487 . -363) T) ((-355 . -368) 132793) ((-352 . -368) 132772) ((-344 . -368) 132751) ((-710 . -722) T) ((-217 . -363) T) ((-116 . -452) T) ((-1282 . -1273) 132735) ((-867 . -880) 132712) ((-867 . -882) NIL) ((-960 . -846) 132611) ((-811 . -846) 132562) ((-1216 . -102) T) ((-650 . -652) 132546) ((-1195 . -34) T) ((-171 . -611) 132528) ((-1107 . -21) 132438) ((-1107 . -25) 132289) ((-867 . -1034) 132266) ((-948 . -896) 132247) ((-1232 . -47) 132224) ((-906 . -368) T) ((-59 . -647) 132208) ((-516 . -647) 132192) ((-481 . -896) 132169) ((-71 . -441) T) ((-71 . -395) T) ((-496 . -647) 132153) ((-59 . -373) 132137) ((-621 . -172) T) ((-516 . -373) 132121) ((-496 . -373) 132105) ((-823 . -704) 132089) ((-1166 . -307) 132068) ((-1172 . -131) T) ((-117 . -172) T) ((-1140 . -309) 132006) ((-169 . -1209) T) ((-633 . -740) 131990) ((-605 . -740) 131974) ((-1271 . -131) T) ((-1244 . -916) 131953) ((-1223 . -916) 131932) ((-1223 . -816) NIL) ((-690 . -713) 131882) ((-1222 . -905) 131835) ((-1020 . -1094) T) ((-867 . -377) 131812) ((-867 . -338) 131789) ((-901 . -1106) T) ((-169 . -880) 131773) ((-169 . -882) 131698) ((-487 . -1106) T) ((-354 . -1094) T) ((-217 . -1106) T) ((-76 . -441) T) ((-76 . -395) T) ((-169 . -1034) 131594) ((-319 . -846) T) ((-1259 . -514) 131527) ((-1243 . -644) 131424) ((-1222 . -644) 131294) ((-868 . -790) 131273) ((-868 . -787) 131252) ((-868 . -722) T) ((-487 . -23) T) ((-223 . -611) 131234) ((-174 . -452) T) ((-222 . -309) 131172) ((-86 . -441) T) ((-86 . -395) T) ((-217 . -23) T) ((-1283 . -1276) 131151) ((-580 . -290) T) ((-564 . -290) T) ((-673 . -1034) 131135) ((-495 . -290) T) ((-136 . -470) 131090) ((-48 . -1094) T) ((-708 . -231) 131074) ((-867 . -896) NIL) ((-1232 . -882) NIL) ((-885 . -102) T) ((-881 . -102) T) ((-388 . -1094) T) ((-169 . -377) 131058) ((-169 . -338) 131042) ((-1232 . -1034) 130922) ((-851 . -1034) 130818) ((-1136 . -102) T) ((-649 . -131) T) ((-117 . -514) 130726) ((-658 . -788) 130705) ((-658 . -791) 130684) ((-571 . -1034) 130666) ((-294 . -1266) 130636) ((-862 . -102) T) ((-959 . -556) 130615) ((-1203 . -1051) 130498) ((-482 . -637) 130404) ((-900 . -1094) T) ((-1020 . -713) 130341) ((-707 . -1051) 130306) ((-615 . -102) T) ((-600 . -34) T) ((-1141 . -1209) T) 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. -1045) T) ((-385 . -21) T) ((-385 . -25) T) ((-690 . -514) NIL) ((-1020 . -172) T) ((-707 . -243) T) ((-1056 . -545) T) ((-506 . -102) T) ((-502 . -102) T) ((-354 . -172) T) ((-343 . -611) 129021) ((-394 . -611) 129003) ((-474 . -722) T) ((-1114 . -844) T) ((-888 . -1034) 128971) ((-108 . -846) T) ((-654 . -1051) 128955) ((-487 . -131) T) ((-1245 . -1052) T) ((-217 . -131) T) ((-1150 . -102) 128933) ((-99 . -1094) T) ((-245 . -662) 128917) ((-245 . -647) 128901) ((-654 . -111) 128880) ((-585 . -614) 128864) ((-316 . -411) 128848) ((-245 . -373) 128832) ((-1153 . -235) 128779) ((-995 . -231) 128763) ((-74 . -1209) T) ((-48 . -172) T) ((-697 . -387) T) ((-697 . -143) T) ((-1282 . -102) T) ((-1189 . -614) 128745) ((-1081 . -1051) 128588) ((-264 . -905) 128567) ((-247 . -905) 128546) ((-778 . -1051) 128369) ((-776 . -1051) 128212) ((-606 . -1209) T) ((-1158 . -611) 128194) ((-1081 . -111) 128023) ((-1042 . -102) T) ((-475 . -1209) T) ((-461 . -1051) 127994) ((-454 . -1051) 127837) ((-660 . -644) 127821) ((-867 . -307) T) ((-778 . -111) 127630) ((-776 . -111) 127459) ((-355 . -644) 127411) ((-352 . -644) 127363) ((-344 . -644) 127315) ((-264 . -644) 127240) ((-247 . -644) 127165) ((-1152 . -846) T) ((-1082 . -1034) 127149) ((-461 . -111) 127110) ((-454 . -111) 126939) ((-1070 . -1034) 126916) ((-996 . -34) T) ((-962 . -611) 126898) ((-954 . -1209) T) ((-126 . -1006) 126882) ((-959 . -1106) T) ((-867 . -1018) NIL) ((-731 . -1106) T) ((-711 . -1106) T) ((-654 . -614) 126800) ((-1259 . -489) 126784) ((-1136 . -38) 126744) ((-959 . -23) T) ((-861 . -1094) T) ((-839 . -102) T) ((-813 . -21) T) ((-813 . -25) T) ((-731 . -23) T) ((-711 . -23) T) ((-110 . -657) T) ((-906 . -644) 126709) ((-581 . -1051) 126674) ((-518 . -1051) 126619) ((-227 . -57) 126577) ((-453 . -23) T) ((-407 . -102) T) ((-263 . -102) T) ((-690 . -290) T) ((-862 . -38) 126547) ((-581 . -111) 126503) ((-518 . -111) 126432) ((-1081 . -614) 126168) ((-418 . -1106) T) ((-316 . -1052) 126058) ((-313 . -1052) T) ((-128 . -1209) T) ((-778 . -614) 125806) ((-776 . -614) 125572) ((-654 . -1045) T) ((-1287 . -1094) T) ((-454 . -614) 125357) ((-169 . -307) 125288) ((-418 . -23) T) ((-40 . -611) 125270) ((-40 . -612) 125254) ((-108 . -988) 125236) ((-116 . -865) 125220) ((-645 . -614) 125204) ((-48 . -514) 125170) ((-1195 . -1006) 125154) ((-1175 . -611) 125121) ((-1182 . -34) T) ((-950 . -611) 125087) ((-917 . -611) 125069) ((-1107 . -846) 125020) ((-767 . -611) 125002) ((-668 . -611) 124984) ((-1150 . -309) 124922) ((-479 . -34) T) ((-1086 . -1209) T) ((-477 . -452) T) ((-1135 . -34) T) ((-1081 . -1045) T) ((-50 . -614) 124891) ((-778 . -1045) T) ((-776 . -1045) T) ((-643 . -235) 124875) ((-630 . -235) 124821) ((-581 . -614) 124771) ((-518 . -614) 124701) ((-1232 . -307) 124680) ((-1081 . -326) 124641) ((-454 . -1045) T) ((-1172 . -21) T) ((-1081 . -233) 124620) ((-778 . -326) 124597) ((-778 . -233) T) ((-776 . -326) 124569) ((-727 . -1213) 124548) ((-327 . -647) 124532) ((-1172 . -25) T) ((-59 . -34) T) ((-519 . -34) T) ((-516 . -34) T) ((-454 . -326) 124511) ((-327 . -373) 124495) ((-497 . -34) T) ((-496 . -34) T) ((-999 . -1145) NIL) ((-727 . -556) 124426) ((-633 . -102) T) ((-605 . -102) T) ((-355 . -722) T) ((-352 . -722) T) ((-344 . -722) T) ((-264 . -722) T) ((-247 . -722) T) ((-1042 . -309) 124334) ((-897 . -1094) 124312) ((-50 . -1045) T) ((-1271 . -21) T) ((-1271 . -25) T) ((-1168 . -556) 124291) ((-1167 . -1213) 124270) ((-581 . -1045) T) ((-518 . -1045) T) ((-1161 . -1213) 124249) ((-361 . -1034) 124233) ((-322 . -1034) 124217) ((-1020 . -290) T) ((-379 . -882) 124199) ((-1167 . -556) 124150) ((-1161 . -556) 124101) ((-999 . -38) 124046) ((-795 . -1106) T) ((-906 . -722) T) ((-581 . -243) T) ((-581 . -233) T) ((-518 . -233) T) ((-518 . -243) T) ((-1120 . -556) 124025) ((-354 . -290) T) ((-643 . -691) 124009) ((-379 . -1034) 123969) ((-1114 . -1052) T) ((-103 . -125) 123953) ((-795 . -23) T) ((-1281 . -1276) 123929) ((-1259 . -286) 123906) ((-407 . -309) 123871) ((-1279 . -1276) 123850) ((-1245 . -1094) T) ((-866 . -611) 123832) ((-832 . -1034) 123801) ((-203 . -783) T) ((-202 . -783) T) ((-201 . -783) T) ((-200 . -783) T) ((-199 . -783) T) ((-198 . -783) T) ((-197 . -783) T) ((-196 . -783) T) ((-195 . -783) T) ((-194 . -783) T) ((-547 . -611) 123783) ((-495 . -998) T) ((-274 . -835) T) ((-273 . -835) T) ((-272 . -835) T) ((-271 . -835) T) ((-48 . -290) T) ((-270 . -835) T) ((-269 . -835) T) ((-268 . -835) T) ((-193 . -783) T) ((-610 . -846) T) ((-650 . -411) 123767) ((-223 . -614) 123729) ((-110 . -846) T) ((-649 . -21) T) ((-649 . -25) T) ((-1282 . -38) 123699) ((-117 . -286) 123650) ((-1259 . -19) 123634) ((-1259 . -602) 123611) ((-1272 . -1094) T) ((-1071 . -1094) T) ((-983 . -1094) T) ((-959 . -131) T) ((-733 . -1094) T) ((-731 . -131) T) ((-711 . -131) T) ((-511 . -789) T) ((-407 . -1145) 123589) ((-453 . -131) T) ((-511 . -790) T) ((-223 . -1045) T) ((-294 . -102) 123371) ((-141 . -1094) T) ((-695 . -998) T) ((-91 . -1209) T) ((-127 . -611) 123303) ((-121 . -611) 123235) ((-1287 . -172) T) ((-1167 . -363) 123214) ((-1161 . -363) 123193) ((-316 . -1094) T) ((-418 . -131) T) ((-313 . -1094) T) ((-407 . -38) 123145) ((-1127 . -102) T) ((-1245 . -713) 123037) ((-650 . -1052) T) ((-1129 . -1254) T) ((-319 . -145) 123016) ((-319 . -147) 122995) ((-139 . -1094) T) ((-136 . -1094) T) ((-114 . -1094) T) ((-854 . -102) T) ((-580 . -611) 122977) ((-564 . -612) 122876) ((-564 . -611) 122858) ((-495 . -611) 122840) ((-495 . -612) 122785) ((-485 . -23) T) ((-482 . -846) 122736) ((-487 . -637) 122718) ((-961 . -611) 122700) ((-217 . -637) 122682) ((-225 . -404) T) ((-658 . -644) 122666) ((-55 . -611) 122648) ((-1166 . -916) 122627) ((-727 . -1106) T) ((-351 . -102) T) ((-1208 . -1077) T) ((-1114 . -840) T) ((-814 . -846) T) ((-727 . -23) T) ((-343 . -1051) 122572) ((-1152 . -1151) T) ((-1141 . -107) 122556) ((-1168 . -1106) T) ((-1167 . -1106) T) ((-515 . -1034) 122540) ((-1161 . -1106) T) ((-1120 . -1106) T) ((-343 . -111) 122469) ((-1000 . -1213) T) ((-126 . -1209) T) ((-910 . -1213) T) ((-690 . -286) NIL) ((-1260 . -611) 122451) ((-1168 . -23) T) ((-1167 . -23) T) ((-1161 . -23) T) ((-1000 . -556) T) ((-1136 . -231) 122435) ((-910 . -556) T) ((-1120 . -23) T) ((-248 . -611) 122417) ((-1069 . -1094) T) ((-795 . -131) T) ((-706 . -611) 122399) ((-316 . -713) 122309) ((-313 . -713) 122238) ((-695 . -611) 122220) ((-695 . -612) 122165) ((-407 . -400) 122149) ((-438 . -1094) T) ((-487 . -25) T) ((-487 . -21) T) ((-1114 . -1094) T) ((-217 . -25) T) ((-217 . -21) T) ((-708 . -411) 122133) ((-710 . -1034) 122102) ((-1259 . -611) 122014) ((-1259 . -612) 121975) ((-1245 . -172) T) ((-245 . -34) T) ((-343 . -614) 121905) ((-394 . -614) 121887) ((-922 . -970) T) ((-1195 . -1209) T) ((-658 . -787) 121866) ((-658 . -790) 121845) ((-398 . -395) T) ((-523 . -102) 121823) ((-1031 . -1094) T) ((-222 . -991) 121807) ((-504 . -102) T) ((-621 . -611) 121789) ((-45 . -846) NIL) ((-621 . -612) 121766) ((-1031 . -608) 121741) ((-897 . -514) 121674) ((-343 . -1045) T) ((-117 . -612) NIL) ((-117 . -611) 121656) ((-868 . -1209) T) ((-666 . -417) 121640) ((-666 . -1117) 121585) ((-500 . -151) 121567) ((-343 . -233) T) ((-343 . -243) T) ((-40 . -1051) 121512) ((-868 . -880) 121496) ((-868 . -882) 121421) ((-708 . -1052) T) ((-690 . -998) NIL) ((-3 . |UnionCategory|) T) ((-1243 . -47) 121391) ((-1222 . -47) 121368) ((-1135 . -1006) 121339) ((-962 . -614) 121323) ((-225 . -916) T) ((-40 . -111) 121252) ((-868 . -1034) 121116) ((-1114 . -713) 121103) ((-1099 . -611) 121085) ((-1074 . -147) 121064) ((-1074 . -145) 121015) ((-1000 . -363) T) ((-319 . -1197) 120981) ((-379 . -307) T) ((-319 . -1194) 120947) ((-316 . -172) 120926) ((-313 . -172) T) ((-999 . -231) 120903) ((-910 . -363) T) ((-581 . -1278) 120890) ((-518 . -1278) 120867) ((-359 . -147) 120846) ((-359 . -145) 120797) ((-353 . -147) 120776) ((-353 . -145) 120727) ((-606 . -1185) 120703) ((-345 . -147) 120682) ((-345 . -145) 120633) ((-319 . -35) 120599) ((-475 . -1185) 120578) ((0 . |EnumerationCategory|) T) ((-319 . -95) 120544) ((-379 . -1018) T) ((-108 . -147) T) ((-108 . -145) NIL) ((-45 . -235) 120494) ((-650 . -1094) T) ((-606 . -107) 120441) ((-485 . -131) T) ((-475 . -107) 120391) ((-240 . -1106) 120301) ((-868 . -377) 120285) ((-868 . -338) 120269) ((-240 . -23) 120139) ((-40 . -614) 120069) ((-1056 . -916) T) ((-1056 . -816) T) ((-581 . -368) T) ((-518 . -368) T) ((-351 . -1145) T) ((-327 . -34) T) ((-44 . -417) 120053) ((-1175 . -614) 119989) ((-869 . -1209) T) ((-390 . -740) 119973) ((-1272 . -514) 119906) ((-727 . -131) T) ((-668 . -614) 119890) ((-1251 . -556) 119869) ((-1244 . -1213) 119848) ((-1244 . -556) 119799) ((-1223 . -1213) 119778) ((-311 . -1077) T) ((-1223 . -556) 119729) ((-733 . -514) 119662) ((-1222 . -1209) 119641) ((-1222 . -882) 119514) ((-889 . -1094) T) ((-144 . -840) T) ((-1222 . -880) 119484) ((-687 . -611) 119466) ((-1168 . -131) T) ((-523 . -309) 119404) ((-1167 . -131) T) ((-141 . -514) NIL) ((-1161 . -131) T) ((-1120 . -131) T) ((-1020 . -998) T) ((-1000 . -23) T) ((-351 . -38) 119369) ((-1000 . -1106) T) ((-910 . -1106) T) ((-82 . -611) 119351) ((-40 . -1045) T) ((-866 . -1051) 119338) ((-999 . -349) NIL) ((-868 . -896) 119297) ((-697 . -102) T) ((-967 . -23) T) ((-600 . -1209) T) ((-910 . -23) T) ((-866 . -111) 119282) ((-427 . -1106) T) ((-213 . -1094) T) ((-474 . -47) 119252) ((-134 . -102) T) ((-40 . -233) 119224) ((-40 . -243) T) ((-116 . -102) T) ((-595 . -556) 119203) ((-594 . -556) 119182) ((-690 . -611) 119164) ((-690 . -612) 119072) ((-316 . -514) 119038) ((-313 . -514) 118930) ((-1243 . -1034) 118914) ((-1222 . -1034) 118700) ((-995 . -411) 118684) ((-427 . -23) T) ((-1114 . -172) T) ((-1245 . -290) T) ((-650 . -713) 118654) ((-144 . -1094) T) ((-48 . -998) T) ((-407 . -231) 118638) ((-295 . -235) 118588) ((-867 . -916) T) ((-867 . -816) NIL) ((-866 . -614) 118560) ((-860 . -846) T) ((-1222 . -338) 118530) ((-1222 . -377) 118500) ((-222 . -1115) 118484) ((-1259 . -288) 118461) ((-1203 . -644) 118386) ((-959 . -21) T) ((-959 . -25) T) ((-731 . -21) T) ((-731 . -25) T) ((-711 . -21) T) ((-711 . -25) T) ((-707 . -644) 118351) ((-453 . -21) T) ((-453 . -25) T) ((-339 . -102) T) ((-174 . -102) T) ((-995 . -1052) T) ((-866 . -1045) T) ((-770 . -102) T) ((-1244 . -363) 118330) ((-1243 . -896) 118236) ((-1223 . -363) 118215) ((-1222 . -896) 118066) ((-1020 . -611) 118048) ((-407 . -824) 118001) ((-1168 . -493) 117967) ((-169 . -916) 117898) ((-1167 . -493) 117864) ((-1161 . -493) 117830) ((-708 . -1094) T) ((-1120 . -493) 117796) ((-580 . -1051) 117783) ((-564 . -1051) 117770) ((-495 . -1051) 117735) ((-316 . -290) 117714) ((-313 . -290) T) ((-354 . -611) 117696) ((-418 . -25) T) ((-418 . -21) T) ((-99 . -286) 117675) ((-580 . -111) 117660) ((-564 . -111) 117645) ((-495 . -111) 117601) ((-1170 . -882) 117568) ((-897 . -489) 117552) ((-48 . -611) 117534) ((-48 . -612) 117479) ((-240 . -131) 117349) ((-1232 . -916) 117328) ((-812 . -1213) 117307) ((-388 . -490) 117288) ((-1031 . -514) 117132) ((-388 . -611) 117098) ((-812 . -556) 117029) ((-585 . -644) 117004) ((-264 . -47) 116976) ((-247 . -47) 116933) ((-531 . -509) 116910) ((-580 . -614) 116882) ((-564 . -614) 116854) ((-495 . -614) 116787) ((-1068 . -1209) T) ((-996 . -1209) T) ((-695 . -1051) 116752) ((-1251 . -23) T) ((-1251 . -1106) T) ((-1244 . -1106) T) ((-1223 . -1106) T) ((-999 . -370) 116724) ((-112 . -368) T) ((-474 . -896) 116630) ((-1244 . -23) T) ((-900 . -611) 116612) ((-55 . -614) 116594) ((-91 . -107) 116578) ((-1203 . -722) T) ((-901 . -846) 116529) ((-697 . -1145) T) ((-695 . -111) 116485) ((-1223 . -23) T) ((-595 . -1106) T) ((-594 . -1106) T) ((-708 . -713) 116314) ((-707 . -722) T) ((-1114 . -290) T) ((-1000 . -131) T) ((-487 . -846) T) ((-967 . -131) T) ((-910 . -131) T) ((-795 . -25) T) ((-217 . -846) T) ((-795 . -21) T) ((-580 . -1045) T) ((-564 . -1045) T) ((-495 . -1045) T) ((-595 . -23) T) ((-343 . -1278) 116291) ((-319 . -452) 116270) 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115278) ((-264 . -1034) 115122) ((-247 . -1034) 114998) ((-117 . -111) 114927) ((-59 . -1209) T) ((-519 . -1209) T) ((-516 . -1209) T) ((-497 . -1209) T) ((-496 . -1209) T) ((-437 . -611) 114909) ((-434 . -611) 114891) ((-3 . -102) T) ((-1023 . -1202) 114860) ((-829 . -102) T) ((-685 . -57) 114818) ((-695 . -1045) T) ((-50 . -644) 114792) ((-289 . -452) T) ((-476 . -1202) 114761) ((0 . -102) T) ((-581 . -644) 114726) ((-518 . -644) 114671) ((-49 . -102) T) ((-906 . -1034) 114658) ((-695 . -243) T) ((-1074 . -409) 114637) ((-727 . -637) 114585) ((-995 . -1094) T) ((-708 . -172) 114476) ((-621 . -614) 114371) ((-487 . -988) 114353) ((-264 . -377) 114337) ((-247 . -377) 114321) ((-399 . -1094) T) ((-1022 . -102) 114299) ((-339 . -38) 114283) ((-217 . -988) 114265) ((-117 . -614) 114195) ((-174 . -38) 114127) ((-1243 . -307) 114106) ((-1222 . -307) 114085) ((-654 . -722) T) ((-99 . -611) 114067) ((-1161 . -637) 114019) ((-485 . -25) T) ((-485 . -21) T) ((-1222 . -1018) 113971) ((-621 . 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-231) 99766) ((-581 . -307) T) ((-518 . -307) T) ((-294 . -514) 99715) ((-108 . -309) NIL) ((-72 . -395) T) ((-1107 . -102) 99505) ((-829 . -411) 99489) ((-1114 . -791) T) ((-1114 . -788) T) ((-697 . -1094) T) ((-578 . -611) 99471) ((-379 . -363) T) ((-169 . -493) 99449) ((-222 . -611) 99381) ((-134 . -1094) T) ((-116 . -1094) T) ((-48 . -722) T) ((-1042 . -489) 99346) ((-141 . -425) 99328) ((-141 . -368) T) ((-1023 . -102) T) ((-512 . -509) 99307) ((-708 . -614) 99063) ((-476 . -102) T) ((-463 . -102) T) ((-1030 . -1106) T) ((-1216 . -611) 99045) ((-1175 . -1034) 98981) ((-1168 . -35) 98947) ((-1168 . -95) 98913) ((-1168 . -1197) 98879) ((-1168 . -1194) 98845) ((-1152 . -309) NIL) ((-89 . -396) T) ((-89 . -395) T) ((-1074 . -1145) 98824) ((-1167 . -1194) 98790) ((-1167 . -1197) 98756) ((-1030 . -23) T) ((-1167 . -95) 98722) ((-571 . -493) T) ((-1167 . -35) 98688) ((-1161 . -1194) 98654) ((-1161 . -1197) 98620) ((-1161 . -95) 98586) ((-361 . -1106) T) ((-359 . -1145) 98565) ((-353 . 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. -309) 94432) ((-144 . -368) T) ((-1042 . -612) 94374) ((-1042 . -611) 94317) ((-313 . -905) NIL) ((-1217 . -840) T) ((-695 . -1034) 94262) ((-707 . -916) T) ((-474 . -1213) 94241) ((-1167 . -452) 94220) ((-1161 . -452) 94199) ((-330 . -102) T) ((-868 . -1106) T) ((-316 . -644) 94020) ((-313 . -644) 93949) ((-474 . -556) 93900) ((-339 . -514) 93866) ((-550 . -151) 93816) ((-40 . -307) T) ((-839 . -611) 93798) ((-697 . -290) T) ((-868 . -23) T) ((-379 . -493) T) ((-1074 . -231) 93768) ((-512 . -102) T) ((-407 . -612) 93575) ((-407 . -611) 93557) ((-263 . -611) 93539) ((-116 . -290) T) ((-1245 . -722) T) ((-1243 . -363) 93518) ((-1222 . -363) 93497) ((-1272 . -34) T) ((-1217 . -1094) T) ((-117 . -1209) T) ((-108 . -231) 93479) ((-1172 . -102) T) ((-477 . -1094) T) ((-523 . -489) 93463) ((-733 . -34) T) ((-482 . -38) 93433) ((-141 . -34) T) ((-117 . -880) 93410) ((-117 . -882) NIL) ((-621 . -1034) 93293) ((-641 . -846) 93272) ((-1271 . -102) T) ((-295 . -102) T) ((-708 . -368) 93251) 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91202) ((-862 . -111) 91167) ((-690 . -1034) 91112) ((-1000 . -452) T) ((-906 . -556) T) ((-533 . -611) 91094) ((-581 . -916) T) ((-474 . -1106) T) ((-518 . -916) T) ((-1150 . -288) 91071) ((-910 . -452) T) ((-65 . -611) 91053) ((-630 . -229) 90999) ((-474 . -23) T) ((-1114 . -790) T) ((-868 . -131) T) ((-1114 . -787) T) ((-1274 . -1276) 90978) ((-1114 . -722) T) ((-650 . -644) 90952) ((-294 . -611) 90693) ((-1136 . -614) 90611) ((-1031 . -34) T) ((-811 . -844) 90590) ((-580 . -307) T) ((-564 . -307) T) ((-495 . -307) T) ((-1283 . -713) 90560) ((-690 . -377) 90542) ((-690 . -338) 90524) ((-477 . -172) T) ((-381 . -713) 90494) ((-862 . -614) 90429) ((-867 . -846) NIL) ((-564 . -1018) T) ((-495 . -1018) T) ((-1127 . -611) 90411) ((-1107 . -238) 90390) ((-214 . -102) T) ((-1144 . -102) T) ((-71 . -611) 90372) ((-1136 . -1045) T) ((-1172 . -38) 90269) ((-854 . -611) 90251) ((-564 . -545) T) ((-666 . -1052) T) ((-727 . -945) 90204) ((-1136 . -233) 90183) ((-1076 . -1094) T) ((-1030 . -25) T) ((-1030 . -21) T) ((-999 . -1051) 90128) ((-901 . -102) T) ((-862 . -1045) T) ((-690 . -896) NIL) ((-355 . -329) 90112) ((-355 . -363) T) ((-352 . -329) 90096) ((-352 . -363) T) ((-344 . -329) 90080) ((-344 . -363) T) ((-487 . -102) T) ((-1271 . -38) 90050) ((-546 . -846) T) ((-523 . -683) 90000) ((-217 . -102) T) ((-1020 . -1034) 89880) ((-999 . -111) 89809) ((-1168 . -969) 89778) ((-1167 . -969) 89740) ((-520 . -151) 89724) ((-1074 . -370) 89703) ((-351 . -611) 89685) ((-322 . -21) T) ((-354 . -1034) 89662) ((-322 . -25) T) ((-1161 . -969) 89631) ((-1120 . -969) 89598) ((-76 . -611) 89580) ((-695 . -307) T) ((-169 . -846) 89559) ((-129 . -840) T) ((-906 . -363) T) ((-379 . -25) T) ((-379 . -21) T) ((-906 . -329) 89546) ((-86 . -611) 89528) ((-695 . -1018) T) ((-673 . -846) T) ((-1243 . -131) T) ((-1222 . -131) T) ((-897 . -1006) 89512) ((-832 . -21) T) ((-48 . -1034) 89455) ((-832 . -25) T) ((-823 . -25) T) ((-823 . -21) T) ((-1281 . -1052) T) ((-549 . -102) T) ((-1279 . -1052) T) 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. -131) T) ((-217 . -309) NIL) ((-407 . -111) 88435) ((-811 . -1052) 88365) ((-733 . -1092) 88349) ((-1243 . -493) 88315) ((-1222 . -493) 88281) ((-548 . -840) T) ((-141 . -1092) 88263) ((-477 . -290) T) ((-1282 . -1045) T) ((-1214 . -102) T) ((-1057 . -102) T) ((-839 . -614) 88131) ((-500 . -514) NIL) ((-482 . -238) 88110) ((-407 . -614) 88008) ((-1166 . -145) 87987) ((-1166 . -147) 87966) ((-1119 . -147) 87945) ((-1119 . -145) 87924) ((-633 . -1051) 87908) ((-605 . -1051) 87892) ((-1168 . -1250) 87876) ((-666 . -1094) T) ((-666 . -1048) 87816) ((-1168 . -1237) 87793) ((-548 . -1094) T) ((-487 . -1145) T) ((-1167 . -1242) 87754) ((-1167 . -1237) 87724) ((-1167 . -1240) 87708) ((-217 . -1145) T) ((-343 . -916) T) ((-814 . -266) 87692) ((-633 . -111) 87671) ((-605 . -111) 87650) ((-1161 . -1221) 87611) ((-839 . -1045) 87590) ((-1161 . -1237) 87567) ((-515 . -25) T) ((-495 . -302) T) ((-511 . -23) T) ((-510 . -25) T) ((-508 . -25) T) ((-507 . -23) T) ((-1161 . -1219) 87551) ((-407 . 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83434) ((-225 . -35) T) ((-49 . -611) 83416) ((-477 . -1052) T) ((-487 . -231) 83398) ((-484 . -964) 83382) ((-482 . -844) 83361) ((-217 . -231) 83343) ((-81 . -441) T) ((-81 . -395) T) ((-1140 . -34) T) ((-811 . -172) 83322) ((-727 . -102) T) ((-1022 . -611) 83289) ((-500 . -286) 83264) ((-316 . -377) 83233) ((-313 . -377) 83194) ((-313 . -338) 83155) ((-1079 . -611) 83137) ((-812 . -945) 83084) ((-658 . -131) T) ((-1232 . -145) 83063) ((-1232 . -147) 83042) ((-1168 . -102) T) ((-1167 . -102) T) ((-1161 . -102) T) ((-1153 . -1094) T) ((-1120 . -102) T) ((-222 . -34) T) ((-289 . -713) 83029) ((-1153 . -608) 83005) ((-592 . -309) NIL) ((-484 . -1094) 82983) ((-390 . -611) 82965) ((-510 . -846) T) ((-1144 . -229) 82915) ((-1251 . -1250) 82899) ((-1251 . -1237) 82876) ((-1244 . -1242) 82837) ((-1244 . -1237) 82807) ((-1244 . -1240) 82791) ((-1223 . -1221) 82752) ((-1223 . -1237) 82729) ((-619 . -611) 82711) ((-1223 . -1219) 82695) ((-695 . -916) T) ((-1168 . -284) 82661) ((-1167 . -284) 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81685) ((-477 . -612) 81607) ((-1081 . -556) 81538) ((-990 . -1094) T) ((-778 . -556) 81449) ((-776 . -556) 81380) ((-482 . -411) 81349) ((-621 . -916) 81328) ((-454 . -1213) 81307) ((-727 . -309) 81294) ((-697 . -614) 81266) ((-398 . -611) 81248) ((-671 . -514) 81181) ((-660 . -25) T) ((-660 . -21) T) ((-454 . -556) 81112) ((-355 . -25) T) ((-355 . -21) T) ((-117 . -916) T) ((-117 . -816) NIL) ((-352 . -25) T) ((-352 . -21) T) ((-344 . -25) T) ((-344 . -21) T) ((-264 . -25) T) ((-264 . -21) T) ((-247 . -25) T) ((-247 . -21) T) ((-83 . -384) T) ((-83 . -395) T) ((-134 . -614) 81094) ((-116 . -614) 81066) ((-1261 . -611) 81048) ((-1215 . -846) T) ((-1203 . -1106) T) ((-1203 . -23) T) ((-1161 . -309) 80933) ((-1120 . -309) 80920) ((-1074 . -713) 80788) ((-862 . -644) 80748) ((-939 . -976) 80732) ((-906 . -21) T) ((-289 . -172) T) ((-906 . -25) T) ((-311 . -93) T) ((-868 . -846) 80683) ((-707 . -1106) T) ((-707 . -23) T) ((-697 . -1045) T) ((-643 . -1094) 80661) ((-630 . -1094) T) ((-581 . -1213) T) ((-518 . -1213) T) ((-697 . -233) T) ((-630 . -608) 80636) ((-581 . -556) T) ((-518 . -556) T) ((-359 . -713) 80588) ((-339 . -1051) 80572) ((-353 . -713) 80524) ((-345 . -713) 80476) ((-174 . -1051) 80408) ((-174 . -111) 80319) ((-108 . -713) 80269) ((-339 . -111) 80248) ((-274 . -1094) T) ((-273 . -1094) T) ((-272 . -1094) T) ((-271 . -1094) T) ((-270 . -1094) T) ((-269 . -1094) T) ((-268 . -1094) T) ((-212 . -1094) T) ((-211 . -1094) T) ((-169 . -1197) 80226) ((-169 . -1194) 80204) ((-209 . -1094) T) ((-208 . -1094) T) ((-116 . -1045) T) ((-207 . -1094) T) ((-206 . -1094) T) ((-203 . -1094) T) ((-202 . -1094) T) ((-201 . -1094) T) ((-200 . -1094) T) ((-199 . -1094) T) ((-198 . -1094) T) ((-197 . -1094) T) ((-196 . -1094) T) ((-195 . -1094) T) ((-194 . -1094) T) ((-193 . -1094) T) ((-240 . -102) 79994) ((-169 . -35) 79972) ((-169 . -95) 79950) ((-650 . -1034) 79846) ((-482 . -1052) 79776) ((-1107 . -1094) 79566) ((-1136 . -34) T) ((-666 . -489) 79550) ((-73 . -1209) T) 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-612) 77276) ((-407 . -905) 77255) ((-50 . -1106) T) ((-1020 . -916) T) ((-999 . -722) T) ((-708 . -882) NIL) ((-581 . -1106) T) ((-518 . -1106) T) ((-839 . -644) 77228) ((-1203 . -131) T) ((-1161 . -400) 77180) ((-1000 . -309) NIL) ((-811 . -489) 77164) ((-354 . -916) T) ((-1150 . -34) T) ((-407 . -644) 77116) ((-50 . -23) T) ((-707 . -131) T) ((-708 . -1034) 76996) ((-581 . -23) T) ((-108 . -514) NIL) ((-518 . -23) T) ((-169 . -409) 76967) ((-1134 . -1094) T) ((-1274 . -1273) 76951) ((-697 . -791) T) ((-697 . -788) T) ((-1114 . -307) T) ((-379 . -147) T) ((-280 . -611) 76933) ((-1222 . -988) 76903) ((-48 . -916) T) ((-671 . -489) 76887) ((-251 . -1266) 76857) ((-250 . -1266) 76827) ((-1170 . -846) T) ((-1107 . -172) 76806) ((-1114 . -1018) T) ((-1042 . -34) T) ((-832 . -147) 76785) ((-832 . -145) 76764) ((-733 . -107) 76748) ((-610 . -132) T) ((-482 . -1094) 76538) ((-1172 . -1052) T) ((-867 . -452) T) ((-85 . -1209) T) ((-240 . -38) 76508) ((-141 . -107) 76490) ((-708 . -377) 76474) 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73255) ((-995 . -377) 73239) ((-413 . -102) T) ((-381 . -111) 73218) ((-995 . -338) 73202) ((-279 . -979) 73186) ((-278 . -979) 73170) ((-1281 . -611) 73152) ((-1279 . -611) 73134) ((-110 . -514) NIL) ((-1166 . -1235) 73118) ((-850 . -848) 73102) ((-1172 . -1094) T) ((-103 . -1209) T) ((-948 . -945) 73063) ((-813 . -713) 73005) ((-1223 . -1145) NIL) ((-481 . -945) 72950) ((-1056 . -143) T) ((-60 . -102) 72928) ((-44 . -611) 72910) ((-78 . -611) 72892) ((-351 . -644) 72837) ((-1271 . -1094) T) ((-511 . -846) T) ((-343 . -1106) T) ((-295 . -1094) T) ((-995 . -896) 72796) ((-295 . -608) 72775) ((-1283 . -614) 72724) ((-1251 . -38) 72621) ((-1244 . -38) 72462) ((-1223 . -38) 72258) ((-487 . -1052) T) ((-381 . -614) 72242) ((-217 . -1052) T) ((-343 . -23) T) ((-152 . -611) 72224) ((-829 . -791) 72203) ((-829 . -788) 72182) ((-1208 . -614) 72163) ((-595 . -38) 72136) ((-594 . -38) 72033) ((-866 . -556) T) ((-223 . -131) T) ((-319 . -998) 71999) ((-79 . -611) 71981) ((-708 . -307) 71960) 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70563) ((-60 . -309) 70501) ((-331 . -102) T) ((-1203 . -21) T) ((-1203 . -25) T) ((-40 . -1106) T) ((-707 . -21) T) ((-625 . -611) 70483) ((-515 . -323) 70462) ((-707 . -25) T) ((-439 . -102) T) ((-108 . -286) NIL) ((-917 . -1106) T) ((-40 . -23) T) ((-767 . -1106) T) ((-564 . -1213) T) ((-495 . -1213) T) ((-319 . -611) 70444) ((-1000 . -231) 70426) ((-169 . -166) 70410) ((-580 . -556) T) ((-564 . -556) T) ((-495 . -556) T) ((-767 . -23) T) ((-1243 . -147) 70389) ((-1153 . -602) 70365) ((-1243 . -145) 70344) ((-1023 . -489) 70328) ((-1222 . -145) 70253) ((-1222 . -147) 70178) ((-1274 . -1280) 70157) ((-476 . -489) 70141) ((-463 . -489) 70125) ((-523 . -34) T) ((-649 . -713) 70095) ((-112 . -963) T) ((-658 . -846) 70074) ((-1172 . -172) 70025) ((-365 . -102) T) ((-240 . -238) 70004) ((-251 . -102) T) ((-250 . -102) T) ((-1232 . -945) 69973) ((-245 . -846) 69952) ((-812 . -38) 69801) ((-45 . -514) 69593) ((-1152 . -286) 69568) ((-214 . -1094) T) ((-1144 . -1094) T) ((-1144 . -608) 69547) ((-585 . -25) T) ((-585 . -21) T) ((-1096 . -309) 69485) ((-959 . -411) 69469) ((-695 . -1213) T) ((-630 . -286) 69444) ((-1081 . -637) 69392) ((-778 . -637) 69340) ((-776 . -637) 69288) ((-343 . -131) T) ((-289 . -611) 69270) ((-901 . -1094) T) ((-695 . -556) T) ((-129 . -614) 69252) ((-866 . -1106) T) ((-454 . -637) 69200) ((-901 . -899) 69184) ((-379 . -452) T) ((-487 . -1094) T) ((-939 . -309) 69122) ((-697 . -644) 69109) ((-549 . -840) T) ((-217 . -1094) T) ((-316 . -916) 69088) ((-313 . -916) T) ((-313 . -816) NIL) ((-390 . -716) T) ((-866 . -23) T) ((-116 . -644) 69075) ((-474 . -145) 69054) ((-418 . -411) 69038) ((-474 . -147) 69017) ((-110 . -489) 68999) ((-311 . -614) 68980) ((-2 . -611) 68962) ((-186 . -102) T) ((-1152 . -19) 68944) ((-1152 . -602) 68919) ((-654 . -21) T) ((-654 . -25) T) ((-592 . -1138) T) ((-1107 . -286) 68896) ((-336 . -25) T) ((-336 . -21) T) ((-495 . -363) T) ((-1274 . -38) 68866) ((-1136 . -1209) T) ((-630 . -602) 68841) ((-549 . -1094) T) 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. -151) 67858) ((-418 . -1052) T) ((-487 . -713) 67808) ((-482 . -489) 67792) ((-327 . -846) 67771) ((-339 . -644) 67745) ((-50 . -21) T) ((-50 . -25) T) ((-217 . -713) 67695) ((-169 . -720) 67666) ((-174 . -644) 67598) ((-581 . -21) T) ((-581 . -25) T) ((-518 . -25) T) ((-518 . -21) T) ((-475 . -151) 67548) ((-1074 . -611) 67530) ((-1055 . -611) 67512) ((-989 . -102) T) ((-858 . -102) T) ((-795 . -411) 67476) ((-40 . -131) T) ((-695 . -363) T) ((-697 . -722) T) ((-697 . -790) T) ((-697 . -787) T) ((-212 . -891) T) ((-580 . -1106) T) ((-564 . -1106) T) ((-495 . -1106) T) ((-359 . -611) 67458) ((-353 . -611) 67440) ((-345 . -611) 67422) ((-66 . -396) T) ((-66 . -395) T) ((-108 . -612) 67352) ((-108 . -611) 67294) ((-211 . -891) T) ((-954 . -151) 67278) ((-767 . -131) T) ((-666 . -614) 67196) ((-134 . -722) T) ((-116 . -722) T) ((-1243 . -35) 67162) ((-1049 . -489) 67146) ((-580 . -23) T) ((-564 . -23) T) ((-495 . -23) T) ((-1222 . -95) 67112) ((-1222 . -35) 67078) ((-1166 . -102) T) 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. -172) 53165) ((-1161 . -172) 53096) ((-1120 . -172) 53047) ((-1000 . -1094) T) ((-967 . -1094) T) ((-910 . -1094) T) ((-1203 . -147) 53026) ((-795 . -793) 53010) ((-695 . -25) T) ((-695 . -21) T) ((-117 . -637) 52987) ((-697 . -882) 52969) ((-427 . -1094) T) ((-316 . -1213) 52948) ((-313 . -1213) T) ((-169 . -400) 52932) ((-1203 . -145) 52911) ((-474 . -969) 52873) ((-130 . -102) T) ((-128 . -102) T) ((-72 . -611) 52855) ((-108 . -791) T) ((-108 . -788) T) ((-697 . -1034) 52837) ((-316 . -556) 52816) ((-313 . -556) T) ((-1287 . -23) T) ((-134 . -1034) 52798) ((-96 . -614) 52779) ((-482 . -1051) 52676) ((-45 . -288) 52601) ((-240 . -713) 52543) ((-517 . -102) T) ((-482 . -111) 52433) ((-1086 . -102) 52411) ((-1030 . -102) T) ((-641 . -824) 52390) ((-727 . -514) 52333) ((-1049 . -1051) 52317) ((-1129 . -93) T) ((-1057 . -286) 52292) ((-621 . -21) T) ((-621 . -25) T) ((-524 . -1094) T) ((-361 . -102) T) ((-322 . -102) T) ((-666 . -644) 52266) ((-385 . -1051) 52250) ((-1049 . -111) 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. -791) 7269) ((-251 . -788) 7220) ((-250 . -791) 7171) ((-40 . -1145) NIL) ((-250 . -788) 7122) ((-1109 . -614) 7103) ((-128 . -19) 7085) ((-1074 . -916) 7036) ((-1000 . -790) T) ((-1000 . -787) T) ((-1000 . -722) T) ((-967 . -790) T) ((-128 . -602) 7011) ((-910 . -722) T) ((-91 . -489) 6995) ((-487 . -896) NIL) ((-906 . -1094) T) ((-225 . -1051) 6960) ((-868 . -290) T) ((-217 . -896) NIL) ((-829 . -1106) 6939) ((-59 . -1094) 6889) ((-519 . -1094) 6867) ((-516 . -1094) 6817) ((-497 . -1094) 6795) ((-496 . -1094) 6745) ((-580 . -102) T) ((-564 . -102) T) ((-495 . -102) T) ((-474 . -172) 6676) ((-359 . -916) T) ((-353 . -916) T) ((-345 . -916) T) ((-225 . -111) 6632) ((-829 . -23) 6584) ((-427 . -722) T) ((-108 . -916) T) ((-40 . -38) 6529) ((-108 . -816) T) ((-581 . -349) T) ((-518 . -349) T) ((-1222 . -514) 6389) ((-316 . -452) 6368) ((-313 . -452) T) ((-888 . -611) 6350) ((-832 . -286) 6329) ((-339 . -131) T) ((-174 . -131) T) ((-294 . -25) 6193) ((-294 . -21) 6076) ((-45 . -1185) 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. -288) 142115) ((-454 . -290) 142046) ((-1031 . -309) 141897) ((-677 . -490) 141878) ((-571 . -722) T) ((-672 . -490) 141859) ((-677 . -611) 141809) ((-672 . -611) 141775) ((-658 . -611) 141757) ((-478 . -490) 141738) ((-478 . -611) 141704) ((-245 . -612) 141665) ((-245 . -490) 141642) ((-138 . -490) 141623) ((-137 . -490) 141604) ((-133 . -490) 141585) ((-245 . -611) 141477) ((-213 . -102) T) ((-138 . -611) 141443) ((-137 . -611) 141409) ((-133 . -611) 141375) ((-1141 . -34) T) ((-939 . -1209) T) ((-343 . -713) 141320) ((-666 . -25) T) ((-666 . -21) T) ((-1170 . -614) 141301) ((-474 . -1045) T) ((-633 . -417) 141266) ((-605 . -417) 141231) ((-1114 . -1145) T) ((-581 . -290) T) ((-518 . -290) T) ((-1244 . -307) 141210) ((-474 . -233) 141162) ((-474 . -243) 141141) ((-1223 . -307) 141120) ((-1223 . -1018) NIL) ((-1074 . -131) T) ((-868 . -791) 141099) ((-144 . -102) T) ((-40 . -1094) T) ((-868 . -788) 141078) ((-641 . -1006) 141062) ((-580 . -1052) T) ((-564 . -1052) T) ((-495 . -1052) T) ((-407 . -452) T) ((-359 . -131) T) ((-316 . -400) 141046) ((-313 . -400) 141007) ((-353 . -131) T) ((-345 . -131) T) ((-1175 . -1094) T) ((-1114 . -38) 140994) ((-1088 . -611) 140961) ((-108 . -131) T) ((-950 . -1094) T) ((-917 . -1094) T) ((-767 . -1094) T) ((-668 . -1094) T) ((-697 . -147) T) ((-116 . -147) T) ((-1281 . -21) T) ((-1281 . -25) T) ((-1279 . -21) T) ((-1279 . -25) T) ((-660 . -1051) 140945) ((-531 . -846) T) ((-500 . -846) T) ((-355 . -1051) 140897) ((-352 . -1051) 140849) ((-344 . -1051) 140801) ((-251 . -1209) T) ((-250 . -1209) T) ((-264 . -1051) 140644) ((-247 . -1051) 140487) ((-660 . -111) 140466) ((-547 . -840) T) ((-355 . -111) 140404) ((-352 . -111) 140342) ((-344 . -111) 140280) ((-264 . -111) 140109) ((-247 . -111) 139938) ((-813 . -1213) 139917) ((-621 . -411) 139901) ((-44 . -21) T) ((-44 . -25) T) ((-811 . -637) 139807) ((-813 . -556) 139786) ((-251 . -1034) 139613) ((-250 . -1034) 139440) ((-126 . -119) 139424) ((-906 . -1051) 139389) ((-708 . -102) T) ((-695 . -1052) T) ((-536 . -616) 139292) ((-343 . -172) T) ((-152 . -25) T) ((-88 . -611) 139274) ((-152 . -21) T) ((-906 . -111) 139230) ((-40 . -713) 139175) ((-866 . -1094) T) ((-660 . -614) 139152) ((-642 . -614) 139133) ((-355 . -614) 139070) ((-352 . -614) 139007) ((-547 . -1094) T) ((-344 . -614) 138944) ((-327 . -612) 138905) ((-327 . -611) 138817) ((-264 . -614) 138570) ((-247 . -614) 138355) ((-1222 . -788) 138308) ((-1222 . -791) 138261) ((-251 . -377) 138230) ((-250 . -377) 138199) ((-650 . -38) 138169) ((-606 . -34) T) ((-482 . -1106) 138079) ((-475 . -34) T) ((-1107 . -131) 137949) ((-960 . -25) 137760) ((-906 . -614) 137710) ((-870 . -611) 137692) ((-960 . -21) 137647) ((-811 . -21) 137557) ((-811 . -25) 137408) ((-1215 . -368) T) ((-621 . -1052) T) ((-1172 . -556) 137387) ((-1166 . -47) 137364) ((-355 . -1045) T) ((-352 . -1045) T) ((-482 . -23) 137234) ((-344 . -1045) T) ((-247 . -1045) T) ((-264 . -1045) T) ((-1119 . -47) 137206) ((-117 . -1052) T) ((-1030 . -644) 137180) ((-954 . -34) T) ((-355 . -233) 137159) ((-355 . -243) T) ((-352 . -233) 137138) ((-352 . -243) T) ((-344 . -233) 137117) ((-344 . -243) T) ((-247 . -326) 137074) ((-264 . -326) 137046) ((-264 . -233) 137025) ((-1150 . -151) 137009) ((-251 . -896) 136941) ((-250 . -896) 136873) ((-1076 . -846) T) ((-414 . -1106) T) ((-1049 . -23) T) ((-906 . -1045) T) ((-322 . -644) 136855) ((-1020 . -844) T) ((-1203 . -998) 136821) ((-1167 . -916) 136800) ((-1161 . -916) 136779) ((-1161 . -816) NIL) ((-906 . -243) T) ((-813 . -363) 136758) ((-385 . -23) T) ((-127 . -1094) 136736) ((-121 . -1094) 136714) ((-906 . -233) T) ((-128 . -34) T) ((-379 . -644) 136679) ((-866 . -713) 136666) ((-1042 . -151) 136631) ((-40 . -172) T) ((-690 . -411) 136613) ((-708 . -309) 136600) ((-832 . -644) 136560) ((-823 . -644) 136534) ((-319 . -25) T) ((-319 . -21) T) ((-654 . -286) 136513) ((-580 . -1094) T) ((-564 . -1094) T) ((-495 . -1094) T) ((-245 . -288) 136490) ((-313 . -231) 136451) ((-1166 . -882) NIL) ((-55 . -1094) T) ((-1119 . -882) 136310) ((-129 . -846) T) ((-1166 . -1034) 136190) ((-1119 . -1034) 136073) ((-183 . -611) 136055) ((-850 . -1034) 135951) ((-778 . -286) 135878) ((-813 . -1106) T) ((-1030 . -722) T) ((-600 . -647) 135862) ((-1042 . -972) 135791) ((-995 . -102) T) ((-813 . -23) T) ((-708 . -1145) 135769) ((-690 . -1052) T) ((-600 . -373) 135753) ((-351 . -452) T) ((-343 . -290) T) ((-1260 . -1094) T) ((-248 . -1094) T) ((-399 . -102) T) ((-289 . -21) T) ((-289 . -25) T) ((-361 . -722) T) ((-706 . -1094) T) ((-695 . -1094) T) ((-361 . -473) T) ((-1203 . -611) 135735) ((-1166 . -377) 135719) ((-1119 . -377) 135703) ((-1020 . -411) 135665) ((-141 . -229) 135647) ((-379 . -790) T) ((-379 . -787) T) ((-866 . -172) T) ((-379 . -722) T) ((-707 . -611) 135629) ((-708 . -38) 135458) ((-1259 . -1257) 135442) ((-351 . -402) T) ((-1259 . -1094) 135392) ((-580 . -713) 135379) ((-564 . -713) 135366) ((-495 . -713) 135331) ((-316 . -627) 135310) ((-832 . -722) T) ((-823 . -722) T) 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-614) 134529) ((-487 . -556) T) ((-478 . -614) 134510) ((-359 . -25) T) ((-359 . -21) T) ((-353 . -25) T) ((-217 . -556) T) ((-353 . -21) T) ((-345 . -25) T) ((-345 . -21) T) ((-245 . -614) 134487) ((-138 . -614) 134468) ((-137 . -614) 134449) ((-133 . -614) 134430) ((-108 . -25) T) ((-108 . -21) T) ((-48 . -1052) T) ((-580 . -172) T) ((-564 . -172) T) ((-495 . -172) T) ((-654 . -611) 134412) ((-733 . -732) 134396) ((-336 . -611) 134378) ((-68 . -383) T) ((-68 . -395) T) ((-1096 . -107) 134362) ((-1056 . -882) 134344) ((-948 . -882) 134269) ((-649 . -1106) T) ((-621 . -713) 134256) ((-481 . -882) NIL) ((-1140 . -102) T) ((-1088 . -616) 134240) ((-1056 . -1034) 134222) ((-97 . -611) 134204) ((-477 . -147) T) ((-948 . -1034) 134084) ((-117 . -713) 134029) ((-649 . -23) T) ((-481 . -1034) 133905) ((-1081 . -612) NIL) ((-1081 . -611) 133887) ((-778 . -612) NIL) ((-778 . -611) 133848) ((-776 . -612) 133482) ((-776 . -611) 133396) ((-1107 . -637) 133302) ((-461 . -611) 133284) ((-454 . -611) 133266) ((-454 . -612) 133127) ((-1031 . -229) 133073) ((-868 . -905) 133052) ((-126 . -34) T) ((-813 . -131) T) ((-645 . -611) 133034) ((-578 . -102) T) ((-355 . -1278) 133018) ((-352 . -1278) 133002) ((-344 . -1278) 132986) ((-127 . -514) 132919) ((-121 . -514) 132852) ((-511 . -788) T) ((-511 . -791) T) ((-510 . -790) T) ((-103 . -309) 132790) ((-222 . -102) 132768) ((-690 . -1094) T) ((-695 . -172) T) ((-868 . -644) 132720) ((-65 . -384) T) ((-275 . -611) 132702) ((-65 . -395) T) ((-948 . -377) 132686) ((-866 . -290) T) ((-50 . -611) 132668) ((-995 . -38) 132616) ((-581 . -611) 132598) ((-481 . -377) 132582) ((-581 . -612) 132564) ((-518 . -611) 132546) ((-906 . -1278) 132533) ((-867 . -1209) T) ((-697 . -452) T) ((-495 . -514) 132499) ((-487 . -363) T) ((-355 . -368) 132478) ((-352 . -368) 132457) ((-344 . -368) 132436) ((-710 . -722) T) ((-217 . -363) T) ((-116 . -452) T) ((-1282 . -1273) 132420) ((-867 . -880) 132397) ((-867 . -882) NIL) ((-960 . -846) 132296) ((-811 . -846) 132247) ((-1216 . -102) T) ((-650 . -652) 132231) ((-1195 . -34) T) ((-171 . -611) 132213) ((-1107 . -21) 132123) ((-1107 . -25) 131974) ((-867 . -1034) 131951) ((-948 . -896) 131932) ((-1232 . -47) 131909) ((-906 . -368) T) ((-59 . -647) 131893) ((-516 . -647) 131877) ((-481 . -896) 131854) ((-71 . -441) T) ((-71 . -395) T) ((-496 . -647) 131838) ((-59 . -373) 131822) ((-621 . -172) T) ((-516 . -373) 131806) ((-496 . -373) 131790) ((-823 . -704) 131774) ((-1166 . -307) 131753) ((-1172 . -131) T) ((-117 . -172) T) ((-1140 . -309) 131691) ((-169 . -1209) T) ((-633 . -740) 131675) ((-605 . -740) 131659) ((-1271 . -131) T) ((-1244 . -916) 131638) ((-1223 . -916) 131617) ((-1223 . -816) NIL) ((-690 . -713) 131567) ((-1222 . -905) 131520) ((-1020 . -1094) T) ((-867 . -377) 131497) ((-867 . -338) 131474) ((-901 . -1106) T) ((-169 . -880) 131458) ((-169 . -882) 131383) ((-487 . -1106) T) ((-354 . -1094) T) ((-217 . -1106) T) ((-76 . -441) T) ((-76 . -395) T) ((-169 . -1034) 131279) ((-319 . -846) T) ((-1259 . -514) 131212) ((-1243 . -644) 131109) ((-1222 . -644) 130979) ((-868 . -790) 130958) ((-868 . -787) 130937) ((-868 . -722) T) ((-487 . -23) T) ((-223 . -611) 130919) ((-174 . -452) T) ((-222 . -309) 130857) ((-86 . -441) T) ((-86 . -395) T) ((-217 . -23) T) ((-1283 . -1276) 130836) ((-580 . -290) T) ((-564 . -290) T) ((-673 . -1034) 130820) ((-495 . -290) T) ((-136 . -470) 130775) ((-48 . -1094) T) ((-708 . -231) 130759) ((-867 . -896) NIL) ((-1232 . -882) NIL) ((-885 . -102) T) ((-881 . -102) T) ((-388 . -1094) T) ((-169 . -377) 130743) ((-169 . -338) 130727) ((-1232 . -1034) 130607) ((-851 . -1034) 130503) ((-1136 . -102) T) ((-649 . -131) T) ((-117 . -514) 130411) ((-658 . -788) 130390) ((-658 . -791) 130369) ((-571 . -1034) 130351) ((-294 . -1266) 130321) ((-862 . -102) T) ((-959 . -556) 130300) ((-1203 . -1051) 130183) ((-482 . -637) 130089) ((-900 . -1094) T) ((-1020 . -713) 130026) ((-707 . -1051) 129991) ((-615 . -102) T) ((-600 . -34) T) ((-1141 . -1209) T) ((-1203 . -111) 129860) ((-474 . -644) 129757) ((-354 . -713) 129702) ((-169 . -896) 129661) ((-695 . -290) T) ((-690 . -172) T) ((-707 . -111) 129617) ((-1287 . -1052) T) ((-1232 . -377) 129601) ((-418 . -1213) 129579) ((-1112 . -611) 129561) ((-313 . -844) NIL) ((-418 . -556) T) ((-225 . -307) T) ((-1222 . -787) 129514) ((-1222 . -790) 129467) ((-1243 . -722) T) ((-1222 . -722) T) ((-48 . -713) 129432) ((-225 . -1018) T) ((-351 . -1266) 129409) ((-1245 . -411) 129375) ((-714 . -722) T) ((-1232 . -896) 129318) ((-1203 . -614) 129200) ((-112 . -611) 129182) ((-112 . -612) 129164) ((-714 . -473) T) ((-707 . -614) 129114) ((-482 . -21) 129024) ((-127 . -489) 129008) ((-121 . -489) 128992) ((-482 . -25) 128843) ((-621 . -290) T) ((-585 . -1051) 128818) ((-437 . -1094) T) ((-1056 . -307) T) ((-117 . -290) T) ((-1098 . -102) T) ((-999 . -102) T) ((-585 . -111) 128786) ((-1136 . -309) 128724) ((-1203 . -1045) T) ((-1056 . -1018) T) ((-66 . -1209) T) ((-1049 . -25) T) ((-1049 . -21) T) ((-707 . -1045) T) ((-385 . -21) T) ((-385 . -25) T) ((-690 . -514) NIL) ((-1020 . -172) T) ((-707 . -243) T) ((-1056 . -545) T) ((-506 . -102) T) ((-502 . -102) T) ((-354 . -172) T) ((-343 . -611) 128706) ((-394 . -611) 128688) ((-474 . -722) T) ((-1114 . -844) T) ((-888 . -1034) 128656) ((-108 . -846) T) ((-654 . -1051) 128640) ((-487 . -131) T) ((-1245 . -1052) T) ((-217 . -131) T) ((-1150 . -102) 128618) ((-99 . -1094) T) ((-245 . -662) 128602) ((-245 . -647) 128586) ((-654 . -111) 128565) ((-585 . -614) 128549) ((-316 . -411) 128533) ((-245 . -373) 128517) ((-1153 . -235) 128464) ((-995 . -231) 128448) ((-74 . -1209) T) ((-48 . -172) T) ((-697 . -387) T) ((-697 . -143) T) ((-1282 . -102) T) ((-1189 . -614) 128430) ((-1081 . -1051) 128273) ((-264 . -905) 128252) ((-247 . -905) 128231) ((-778 . -1051) 128054) ((-776 . -1051) 127897) ((-606 . -1209) T) ((-1158 . -611) 127879) ((-1081 . -111) 127708) ((-1042 . -102) T) ((-475 . -1209) T) ((-461 . -1051) 127679) ((-454 . -1051) 127522) ((-660 . -644) 127506) ((-867 . -307) T) ((-778 . -111) 127315) ((-776 . -111) 127144) ((-355 . -644) 127096) ((-352 . -644) 127048) ((-344 . -644) 127000) ((-264 . -644) 126925) ((-247 . -644) 126850) ((-1152 . -846) T) ((-1082 . -1034) 126834) ((-461 . -111) 126795) ((-454 . -111) 126624) ((-1070 . -1034) 126601) ((-996 . -34) T) ((-962 . -611) 126583) ((-954 . -1209) T) ((-126 . -1006) 126567) ((-959 . -1106) T) ((-867 . -1018) NIL) ((-731 . -1106) T) ((-711 . -1106) T) ((-654 . -614) 126485) ((-1259 . -489) 126469) ((-1136 . -38) 126429) ((-959 . -23) T) ((-861 . -1094) T) ((-839 . -102) T) ((-813 . -21) T) ((-813 . -25) T) ((-731 . -23) T) ((-711 . -23) T) ((-110 . -657) T) ((-906 . -644) 126394) ((-581 . -1051) 126359) ((-518 . -1051) 126304) ((-227 . -57) 126262) ((-453 . -23) T) ((-407 . -102) T) ((-263 . -102) T) ((-690 . -290) T) ((-862 . -38) 126232) ((-581 . -111) 126188) ((-518 . -111) 126117) ((-1081 . -614) 125853) ((-418 . -1106) T) ((-316 . -1052) 125743) ((-313 . -1052) T) 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-34) T) ((-519 . -34) T) ((-516 . -34) T) ((-454 . -326) 124196) ((-327 . -373) 124180) ((-497 . -34) T) ((-496 . -34) T) ((-999 . -1145) NIL) ((-727 . -556) 124111) ((-633 . -102) T) ((-605 . -102) T) ((-355 . -722) T) ((-352 . -722) T) ((-344 . -722) T) ((-264 . -722) T) ((-247 . -722) T) ((-1042 . -309) 124019) ((-897 . -1094) 123997) ((-50 . -1045) T) ((-1271 . -21) T) ((-1271 . -25) T) ((-1168 . -556) 123976) ((-1167 . -1213) 123955) ((-581 . -1045) T) ((-518 . -1045) T) ((-1161 . -1213) 123934) ((-361 . -1034) 123918) ((-322 . -1034) 123902) ((-1020 . -290) T) ((-379 . -882) 123884) ((-1167 . -556) 123835) ((-1161 . -556) 123786) ((-999 . -38) 123731) ((-795 . -1106) T) ((-906 . -722) T) ((-581 . -243) T) ((-581 . -233) T) ((-518 . -233) T) ((-518 . -243) T) ((-1120 . -556) 123710) ((-354 . -290) T) ((-643 . -691) 123694) ((-379 . -1034) 123654) ((-1114 . -1052) T) ((-103 . -125) 123638) ((-795 . -23) T) ((-1281 . -1276) 123614) ((-1259 . -286) 123591) ((-407 . -309) 123556) 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-611) 122988) ((-121 . -611) 122920) ((-1287 . -172) T) ((-1167 . -363) 122899) ((-1161 . -363) 122878) ((-316 . -1094) T) ((-418 . -131) T) ((-313 . -1094) T) ((-407 . -38) 122830) ((-1127 . -102) T) ((-1245 . -713) 122722) ((-650 . -1052) T) ((-1129 . -1254) T) ((-319 . -145) 122701) ((-319 . -147) 122680) ((-139 . -1094) T) ((-136 . -1094) T) ((-114 . -1094) T) ((-854 . -102) T) ((-580 . -611) 122662) ((-564 . -612) 122561) ((-564 . -611) 122543) ((-495 . -611) 122525) ((-495 . -612) 122470) ((-485 . -23) T) ((-482 . -846) 122421) ((-487 . -637) 122403) ((-961 . -611) 122385) ((-217 . -637) 122367) ((-225 . -404) T) ((-658 . -644) 122351) ((-55 . -611) 122333) ((-1166 . -916) 122312) ((-727 . -1106) T) ((-351 . -102) T) ((-1208 . -1077) T) ((-1114 . -840) T) ((-814 . -846) T) ((-727 . -23) T) ((-343 . -1051) 122257) ((-1152 . -1151) T) ((-1141 . -107) 122241) ((-1168 . -1106) T) ((-1167 . -1106) T) ((-515 . -1034) 122225) ((-1161 . -1106) T) ((-1120 . -1106) T) ((-343 . -111) 122154) ((-1000 . -1213) T) ((-126 . -1209) T) ((-910 . -1213) T) ((-690 . -286) NIL) ((-1260 . -611) 122136) ((-1168 . -23) T) ((-1167 . -23) T) ((-1161 . -23) T) ((-1000 . -556) T) ((-1136 . -231) 122120) ((-910 . -556) T) ((-1120 . -23) T) ((-248 . -611) 122102) ((-1069 . -1094) T) ((-795 . -131) T) ((-706 . -611) 122084) ((-316 . -713) 121994) ((-313 . -713) 121923) ((-695 . -611) 121905) ((-695 . -612) 121850) ((-407 . -400) 121834) ((-438 . -1094) T) ((-487 . -25) T) ((-487 . -21) T) ((-1114 . -1094) T) ((-217 . -25) T) ((-217 . -21) T) ((-708 . -411) 121818) ((-710 . -1034) 121787) ((-1259 . -611) 121699) ((-1259 . -612) 121660) ((-1245 . -172) T) ((-245 . -34) T) ((-343 . -614) 121590) ((-394 . -614) 121572) ((-922 . -970) T) ((-1195 . -1209) T) ((-658 . -787) 121551) ((-658 . -790) 121530) ((-398 . -395) T) ((-523 . -102) 121508) ((-1031 . -1094) T) ((-222 . -991) 121492) ((-504 . -102) T) ((-621 . -611) 121474) ((-45 . -846) NIL) ((-621 . -612) 121451) ((-1031 . -608) 121426) 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114963) ((-264 . -1034) 114807) ((-247 . -1034) 114683) ((-117 . -111) 114612) ((-59 . -1209) T) ((-519 . -1209) T) ((-516 . -1209) T) ((-497 . -1209) T) ((-496 . -1209) T) ((-437 . -611) 114594) ((-434 . -611) 114576) ((-3 . -102) T) ((-1023 . -1202) 114545) ((-829 . -102) T) ((-685 . -57) 114503) ((-695 . -1045) T) ((-50 . -644) 114477) ((-289 . -452) T) ((-476 . -1202) 114446) ((0 . -102) T) ((-581 . -644) 114411) ((-518 . -644) 114356) ((-49 . -102) T) ((-906 . -1034) 114343) ((-695 . -243) T) ((-1074 . -409) 114322) ((-727 . -637) 114270) ((-995 . -1094) T) ((-708 . -172) 114161) ((-621 . -614) 114056) ((-487 . -988) 114038) ((-264 . -377) 114022) ((-247 . -377) 114006) ((-399 . -1094) T) ((-1022 . -102) 113984) ((-339 . -38) 113968) ((-217 . -988) 113950) ((-117 . -614) 113880) ((-174 . -38) 113812) ((-1243 . -307) 113791) ((-1222 . -307) 113770) ((-654 . -722) T) ((-99 . -611) 113752) ((-1161 . -637) 113704) ((-485 . -25) T) ((-485 . -21) T) ((-1222 . -1018) 113656) ((-621 . -1045) T) ((-379 . -404) T) ((-390 . -102) T) ((-1099 . -616) 113571) ((-264 . -896) 113517) ((-247 . -896) 113494) ((-117 . -1045) T) ((-812 . -1106) T) ((-1081 . -722) T) ((-621 . -233) 113473) ((-619 . -102) T) ((-778 . -722) T) ((-776 . -722) T) ((-413 . -1106) T) ((-117 . -243) T) ((-40 . -368) NIL) ((-117 . -233) NIL) ((-1214 . -846) T) ((-454 . -722) T) ((-812 . -23) T) ((-727 . -25) T) ((-727 . -21) T) ((-1071 . -286) 113452) ((-78 . -396) T) ((-78 . -395) T) ((-533 . -763) 113434) ((-690 . -1051) 113384) ((-1251 . -131) T) ((-1244 . -131) T) ((-1223 . -131) T) ((-1168 . -25) T) ((-1136 . -411) 113368) ((-633 . -367) 113300) ((-605 . -367) 113232) ((-1150 . -1143) 113216) ((-103 . -1094) 113194) ((-1168 . -21) T) ((-1167 . -21) T) ((-861 . -611) 113176) ((-995 . -713) 113124) ((-223 . -644) 113091) ((-690 . -111) 113025) ((-50 . -722) T) ((-1167 . -25) T) ((-351 . -349) T) ((-1161 . -21) T) ((-1074 . -452) 112976) ((-1161 . -25) T) ((-708 . -514) 112923) ((-581 . -722) T) 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-145) NIL) ((-1114 . -612) 108852) ((-438 . -611) 108834) ((-217 . -147) T) ((-217 . -145) NIL) ((-1114 . -611) 108816) ((-129 . -102) T) ((-52 . -102) T) ((-1223 . -637) 108768) ((-479 . -107) 108718) ((-989 . -23) T) ((-1283 . -38) 108688) ((-1166 . -1106) T) ((-1119 . -1106) T) ((-1056 . -1213) T) ((-311 . -102) T) ((-850 . -1106) T) ((-948 . -1213) 108667) ((-481 . -1213) 108646) ((-1056 . -556) T) ((-948 . -556) 108577) ((-1166 . -23) T) ((-1119 . -23) T) ((-850 . -23) T) ((-481 . -556) 108508) ((-1136 . -713) 108440) ((-1140 . -514) 108373) ((-1031 . -612) NIL) ((-1031 . -611) 108355) ((-96 . -1077) T) ((-862 . -713) 108325) ((-1203 . -47) 108294) ((-251 . -131) T) ((-250 . -131) T) ((-1098 . -1094) T) ((-999 . -1094) T) ((-62 . -611) 108276) ((-1161 . -846) NIL) ((-1020 . -788) T) ((-1020 . -791) T) ((-1287 . -1051) 108263) ((-1287 . -111) 108248) ((-866 . -644) 108235) ((-1251 . -25) T) ((-1251 . -21) T) ((-1244 . -21) T) ((-1244 . -25) T) ((-1223 . -21) T) ((-1223 . -25) T) 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107532) ((-294 . -1052) 107474) ((-169 . -1213) 107379) ((-225 . -1106) T) ((-324 . -23) T) ((-1161 . -988) 107331) ((-839 . -1094) T) ((-1245 . -1051) 107236) ((-1120 . -736) 107215) ((-1243 . -916) 107194) ((-1222 . -916) 107173) ((-866 . -722) T) ((-169 . -556) 107084) ((-580 . -644) 107071) ((-564 . -644) 107058) ((-407 . -1094) T) ((-263 . -1094) T) ((-213 . -611) 107040) ((-495 . -644) 107005) ((-225 . -23) T) ((-1222 . -816) 106958) ((-1281 . -102) T) ((-354 . -1278) 106935) ((-1279 . -102) T) ((-1245 . -111) 106827) ((-144 . -611) 106809) ((-989 . -131) T) ((-44 . -102) T) ((-240 . -846) 106760) ((-1232 . -1213) 106739) ((-103 . -489) 106723) ((-1282 . -713) 106693) ((-1081 . -47) 106654) ((-1056 . -1106) T) ((-948 . -1106) T) ((-127 . -34) T) ((-121 . -34) T) ((-778 . -47) 106631) ((-776 . -47) 106603) ((-1232 . -556) 106514) ((-354 . -368) T) ((-481 . -1106) T) ((-1166 . -131) T) ((-1119 . -131) T) ((-454 . -47) 106493) ((-867 . -363) T) ((-850 . -131) T) ((-152 . -102) T) 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-882) NIL) ((-867 . -1106) T) ((-117 . -905) NIL) ((-1281 . -1280) 105089) ((-1279 . -1280) 105068) ((-778 . -882) NIL) ((-776 . -882) 104927) ((-1274 . -25) T) ((-1274 . -21) T) ((-1206 . -102) 104905) ((-1100 . -395) T) ((-621 . -644) 104892) ((-454 . -882) NIL) ((-671 . -102) 104870) ((-1081 . -1034) 104697) ((-867 . -23) T) ((-778 . -1034) 104556) ((-776 . -1034) 104413) ((-117 . -644) 104358) ((-454 . -1034) 104234) ((-316 . -614) 103798) ((-313 . -614) 103681) ((-645 . -1034) 103665) ((-625 . -102) T) ((-222 . -489) 103649) ((-1259 . -34) T) ((-136 . -614) 103633) ((-633 . -713) 103617) ((-605 . -713) 103601) ((-666 . -38) 103561) ((-319 . -102) T) ((-85 . -611) 103543) ((-50 . -1034) 103527) ((-1114 . -1051) 103514) ((-1081 . -377) 103498) ((-778 . -377) 103482) ((-60 . -57) 103444) ((-695 . -790) T) ((-695 . -787) T) ((-581 . -1034) 103431) ((-518 . -1034) 103408) ((-695 . -722) T) ((-324 . -131) T) ((-316 . -1045) 103298) ((-313 . -1045) T) ((-169 . -1106) T) ((-776 . -377) 103282) ((-45 . -151) 103232) ((-1000 . -988) 103214) ((-454 . -377) 103198) ((-407 . -172) T) ((-316 . -243) 103177) ((-313 . -243) T) ((-313 . -233) NIL) ((-294 . -1094) 102959) ((-225 . -131) T) ((-1114 . -111) 102944) ((-169 . -23) T) ((-795 . -147) 102923) ((-795 . -145) 102902) ((-251 . -637) 102808) ((-250 . -637) 102714) ((-319 . -284) 102680) ((-1150 . -514) 102613) ((-1127 . -1094) T) ((-225 . -1054) T) ((-811 . -309) 102551) ((-1081 . -896) 102486) ((-778 . -896) 102429) ((-776 . -896) 102413) ((-1281 . -38) 102383) ((-1279 . -38) 102353) ((-1232 . -1106) T) ((-851 . -1106) T) ((-454 . -896) 102330) ((-854 . -1094) T) ((-1232 . -23) T) ((-1114 . -614) 102302) ((-571 . -1106) T) ((-851 . -23) T) ((-621 . -722) T) ((-355 . -916) T) ((-352 . -916) T) ((-289 . -102) T) ((-344 . -916) T) ((-1056 . -131) T) ((-966 . -1077) T) ((-948 . -131) T) ((-117 . -790) NIL) ((-117 . -787) NIL) ((-117 . -722) T) ((-690 . -905) NIL) ((-1042 . -514) 102203) ((-481 . -131) T) ((-571 . -23) T) 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101396) ((-1020 . -644) 101333) ((-523 . -1094) 101311) ((-359 . -102) T) ((-353 . -102) T) ((-345 . -102) T) ((-108 . -102) T) ((-504 . -1094) T) ((-354 . -644) 101256) ((-1166 . -637) 101204) ((-1119 . -637) 101152) ((-385 . -509) 101131) ((-829 . -844) 101110) ((-379 . -1213) T) ((-690 . -722) T) ((-339 . -1052) T) ((-1223 . -988) 101062) ((-174 . -1052) T) ((-103 . -611) 100994) ((-1168 . -145) 100973) ((-1168 . -147) 100952) ((-379 . -556) T) ((-1167 . -147) 100931) ((-1167 . -145) 100910) ((-1161 . -145) 100817) ((-407 . -290) T) ((-1161 . -147) 100724) ((-1120 . -147) 100703) ((-1120 . -145) 100682) ((-319 . -38) 100523) ((-169 . -131) T) ((-313 . -791) NIL) ((-313 . -788) NIL) ((-650 . -1045) T) ((-48 . -644) 100488) ((-889 . -614) 100465) ((-1160 . -102) T) ((-990 . -102) T) ((-989 . -21) T) ((-127 . -1006) 100449) ((-121 . -1006) 100433) ((-989 . -25) T) ((-897 . -119) 100417) ((-1152 . -102) T) ((-1232 . -131) T) ((-1166 . -25) T) ((-1166 . -21) T) ((-851 . -131) T) ((-1119 . -25) T) ((-1119 . -21) T) ((-850 . -25) T) ((-850 . -21) T) ((-778 . -307) 100396) ((-643 . -102) 100374) ((-630 . -102) T) ((-1153 . -309) 100169) ((-571 . -131) T) ((-619 . -844) 100148) ((-1150 . -489) 100132) ((-1144 . -151) 100082) ((-1140 . -611) 100044) ((-1140 . -612) 100005) ((-1020 . -787) T) ((-1020 . -790) T) ((-1020 . -722) T) ((-708 . -1051) 99828) ((-484 . -309) 99766) ((-453 . -417) 99736) ((-351 . -172) T) ((-289 . -38) 99723) ((-274 . -102) T) ((-273 . -102) T) ((-272 . -102) T) ((-271 . -102) T) ((-270 . -102) T) ((-269 . -102) T) ((-343 . -1034) 99700) ((-268 . -102) T) ((-212 . -102) T) ((-211 . -102) T) ((-209 . -102) T) ((-208 . -102) T) ((-207 . -102) T) ((-206 . -102) T) ((-203 . -102) T) ((-202 . -102) T) ((-201 . -102) T) ((-200 . -102) T) ((-199 . -102) T) ((-198 . -102) T) ((-197 . -102) T) ((-196 . -102) T) ((-195 . -102) T) ((-194 . -102) T) ((-193 . -102) T) ((-354 . -722) T) ((-708 . -111) 99509) ((-666 . -231) 99493) ((-581 . -307) T) ((-518 . -307) T) ((-294 . -514) 99442) ((-108 . -309) NIL) ((-72 . -395) T) ((-1107 . -102) 99232) ((-829 . -411) 99216) ((-1114 . -791) T) ((-1114 . -788) T) ((-697 . -1094) T) ((-578 . -611) 99198) ((-379 . -363) T) ((-169 . -493) 99176) ((-222 . -611) 99108) ((-134 . -1094) T) ((-116 . -1094) T) ((-48 . -722) T) ((-1042 . -489) 99073) ((-141 . -425) 99055) ((-141 . -368) T) ((-1023 . -102) T) ((-512 . -509) 99034) ((-708 . -614) 98790) ((-476 . -102) T) ((-463 . -102) T) ((-1030 . -1106) T) ((-1216 . -611) 98772) ((-1175 . -1034) 98708) ((-1168 . -35) 98674) ((-1168 . -95) 98640) ((-1168 . -1197) 98606) ((-1168 . -1194) 98572) ((-1152 . -309) NIL) ((-89 . -396) T) ((-89 . -395) T) ((-1074 . -1145) 98551) ((-1167 . -1194) 98517) ((-1167 . -1197) 98483) ((-1030 . -23) T) ((-1167 . -95) 98449) ((-571 . -493) T) ((-1167 . -35) 98415) ((-1161 . -1194) 98381) ((-1161 . -1197) 98347) ((-1161 . -95) 98313) ((-361 . -1106) T) ((-359 . -1145) 98292) ((-353 . -1145) 98271) ((-345 . -1145) 98250) ((-1161 . -35) 98216) ((-1120 . -35) 98182) ((-1120 . -95) 98148) ((-108 . -1145) T) ((-1120 . -1197) 98114) ((-829 . -1052) 98093) ((-643 . -309) 98031) ((-630 . -309) 97882) ((-1120 . -1194) 97848) ((-708 . -1045) T) ((-1056 . -637) 97830) ((-1074 . -38) 97698) ((-948 . -637) 97646) ((-1000 . -147) T) ((-1000 . -145) NIL) ((-379 . -1106) T) ((-324 . -25) T) ((-322 . -23) T) ((-939 . -846) 97625) ((-708 . -326) 97602) ((-481 . -637) 97550) ((-40 . -1034) 97438) ((-708 . -233) T) ((-697 . -713) 97425) ((-339 . -1094) T) ((-174 . -1094) T) ((-331 . -846) T) ((-418 . -452) 97375) ((-379 . -23) T) ((-359 . -38) 97340) ((-353 . -38) 97305) ((-345 . -38) 97270) ((-80 . -441) T) ((-80 . -395) T) ((-225 . -25) T) ((-225 . -21) T) ((-832 . -1106) T) ((-108 . -38) 97220) ((-823 . -1106) T) ((-770 . -1094) T) ((-116 . -713) 97207) ((-668 . -1034) 97191) ((-610 . -102) T) ((-832 . -23) T) ((-823 . -23) T) ((-1150 . -286) 97168) ((-1107 . -309) 97106) ((-1096 . -235) 97090) ((-64 . -396) T) ((-64 . -395) T) 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T) ((-116 . -172) T) ((-1107 . -38) 95694) ((-169 . -637) 95642) ((-1049 . -102) T) ((-995 . -614) 95532) ((-867 . -25) T) ((-811 . -238) 95511) ((-867 . -21) T) ((-814 . -102) T) ((-414 . -102) T) ((-385 . -102) T) ((-110 . -309) NIL) ((-227 . -102) 95489) ((-127 . -1209) T) ((-121 . -1209) T) ((-1030 . -131) T) ((-666 . -367) 95473) ((-995 . -1045) T) ((-1232 . -637) 95421) ((-1098 . -611) 95403) ((-999 . -611) 95385) ((-515 . -23) T) ((-510 . -23) T) ((-343 . -307) T) ((-508 . -23) T) ((-322 . -131) T) ((-3 . -1094) T) ((-999 . -612) 95369) ((-995 . -243) 95348) ((-995 . -233) 95327) ((-1287 . -722) T) ((-1251 . -145) 95306) ((-829 . -1094) T) ((-1251 . -147) 95285) ((-1244 . -147) 95264) ((-1244 . -145) 95243) ((-1243 . -1213) 95222) ((-1223 . -145) 95129) ((-1223 . -147) 95036) ((-1222 . -1213) 95015) ((-379 . -131) T) ((-564 . -882) 94997) ((0 . -1094) T) ((-174 . -172) T) ((-169 . -21) T) ((-169 . -25) T) ((-49 . -1094) T) ((-1245 . -644) 94902) ((-1243 . -556) 94853) ((-710 . -1106) T) ((-1222 . -556) 94804) ((-564 . -1034) 94786) ((-594 . -147) 94765) ((-594 . -145) 94744) ((-495 . -1034) 94687) ((-1129 . -1131) T) ((-87 . -384) T) ((-87 . -395) T) ((-868 . -363) T) ((-832 . -131) T) ((-823 . -131) T) ((-710 . -23) T) ((-506 . -611) 94653) ((-502 . -611) 94635) ((-1283 . -1052) T) ((-379 . -1054) T) ((-1022 . -1094) 94613) ((-55 . -1034) 94595) ((-897 . -34) T) ((-482 . -309) 94533) ((-591 . -102) T) ((-1150 . -612) 94494) ((-1150 . -611) 94426) ((-45 . -102) T) ((-813 . -102) T) ((-1232 . -25) T) ((-1232 . -21) T) ((-851 . -25) T) ((-44 . -367) 94410) ((-851 . -21) T) ((-727 . -452) 94361) ((-1282 . -611) 94343) ((-1049 . -309) 94281) ((-667 . -1077) T) ((-604 . -1077) T) ((-390 . -1094) T) ((-571 . -25) T) ((-571 . -21) T) ((-180 . -1077) T) ((-161 . -1077) T) ((-156 . -1077) T) ((-154 . -1077) T) ((-619 . -1094) T) ((-695 . -882) 94263) ((-1259 . -1209) T) ((-227 . -309) 94201) ((-144 . -368) T) ((-1042 . -612) 94143) ((-1042 . -611) 94086) ((-313 . -905) NIL) ((-1217 . -840) T) ((-695 . -1034) 94031) ((-707 . -916) T) ((-474 . -1213) 94010) ((-1167 . -452) 93989) ((-1161 . -452) 93968) ((-330 . -102) T) ((-868 . -1106) T) ((-316 . -644) 93789) ((-313 . -644) 93718) ((-474 . -556) 93669) ((-339 . -514) 93635) ((-550 . -151) 93585) ((-40 . -307) T) ((-839 . -611) 93567) ((-697 . -290) T) ((-868 . -23) T) ((-379 . -493) T) ((-1074 . -231) 93537) ((-512 . -102) T) ((-407 . -612) 93344) ((-407 . -611) 93326) ((-263 . -611) 93308) ((-116 . -290) T) ((-1245 . -722) T) ((-1243 . -363) 93287) ((-1222 . -363) 93266) ((-1272 . -34) T) ((-1217 . -1094) T) ((-117 . -1209) T) ((-108 . -231) 93248) ((-1172 . -102) T) ((-477 . -1094) T) ((-523 . -489) 93232) ((-733 . -34) T) ((-482 . -38) 93202) ((-141 . -34) T) ((-117 . -880) 93179) ((-117 . -882) NIL) ((-621 . -1034) 93062) ((-641 . -846) 93041) ((-1271 . -102) T) ((-295 . -102) T) ((-708 . -368) 93020) ((-117 . -1034) 92997) ((-390 . -713) 92981) ((-619 . -713) 92965) ((-45 . -309) 92769) 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. -363) T) ((-352 . -329) 89907) ((-352 . -363) T) ((-344 . -329) 89891) ((-344 . -363) T) ((-487 . -102) T) ((-1271 . -38) 89861) ((-546 . -846) T) ((-523 . -683) 89811) ((-217 . -102) T) ((-1020 . -1034) 89691) ((-999 . -111) 89620) ((-1168 . -969) 89589) ((-520 . -151) 89573) ((-1074 . -370) 89552) ((-351 . -611) 89534) ((-322 . -21) T) ((-354 . -1034) 89511) ((-322 . -25) T) ((-1167 . -969) 89473) ((-1161 . -969) 89442) ((-76 . -611) 89424) ((-1120 . -969) 89391) ((-695 . -307) T) ((-129 . -840) T) ((-906 . -363) T) ((-379 . -25) T) ((-379 . -21) T) ((-906 . -329) 89378) ((-86 . -611) 89360) ((-695 . -1018) T) ((-673 . -846) T) ((-1243 . -131) T) ((-1222 . -131) T) ((-897 . -1006) 89344) ((-832 . -21) T) ((-48 . -1034) 89287) ((-832 . -25) T) ((-823 . -25) T) ((-823 . -21) T) ((-1281 . -1052) T) ((-549 . -102) T) ((-1279 . -1052) T) ((-650 . -722) T) ((-1098 . -616) 89190) ((-999 . -614) 89120) ((-1282 . -1051) 89104) ((-811 . -411) 89073) ((-103 . -119) 89057) ((-129 . -1094) T) 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-493) 87249) ((-1216 . -368) T) ((-1152 . -1138) T) ((-1095 . -102) T) ((-697 . -611) 87231) ((-697 . -612) 87146) ((-710 . -21) T) ((-710 . -25) T) ((-1129 . -102) T) ((-134 . -611) 87128) ((-116 . -611) 87110) ((-157 . -25) T) ((-1281 . -1094) T) ((-868 . -637) 87058) ((-1279 . -1094) T) ((-959 . -102) T) ((-731 . -102) T) ((-711 . -102) T) ((-453 . -102) T) ((-812 . -452) 87009) ((-44 . -1094) T) ((-1082 . -846) T) ((-660 . -131) T) ((-1057 . -309) 86860) ((-666 . -713) 86844) ((-289 . -1052) T) ((-355 . -131) T) ((-352 . -131) T) ((-344 . -131) T) ((-264 . -131) T) ((-247 . -131) T) ((-418 . -102) T) ((-152 . -1094) T) ((-45 . -229) 86794) ((-954 . -846) 86773) ((-995 . -644) 86711) ((-240 . -1266) 86681) ((-1020 . -307) T) ((-294 . -1051) 86602) ((-906 . -131) T) ((-40 . -916) T) ((-487 . -400) 86584) ((-354 . -307) T) ((-217 . -400) 86566) ((-1074 . -411) 86550) ((-294 . -111) 86466) ((-1177 . -846) T) ((-1176 . -846) T) ((-868 . -25) T) ((-868 . -21) T) ((-339 . -611) 86448) 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-1045) 85224) ((-1223 . -969) 85193) ((-379 . -846) T) ((-108 . -1052) T) ((-995 . -722) T) ((-866 . -916) T) ((-839 . -791) 85172) ((-839 . -788) 85151) ((-418 . -309) 85090) ((-468 . -102) T) ((-594 . -969) 85059) ((-319 . -1094) T) ((-407 . -791) 85038) ((-407 . -788) 85017) ((-500 . -489) 84999) ((-1245 . -1034) 84965) ((-1243 . -21) T) ((-1243 . -25) T) ((-1222 . -21) T) ((-1222 . -25) T) ((-811 . -713) 84907) ((-351 . -614) 84837) ((-695 . -404) T) ((-1272 . -1209) T) ((-604 . -102) T) ((-1107 . -411) 84806) ((-999 . -368) NIL) ((-667 . -102) T) ((-180 . -102) T) ((-161 . -102) T) ((-156 . -102) T) ((-154 . -102) T) ((-103 . -34) T) ((-733 . -1209) T) ((-44 . -757) T) ((-592 . -102) T) ((-77 . -396) T) ((-77 . -395) T) ((-649 . -652) 84790) ((-141 . -1209) T) ((-867 . -147) T) ((-867 . -145) NIL) ((-1208 . -93) T) ((-351 . -1045) T) ((-70 . -383) T) ((-70 . -395) T) ((-1159 . -102) T) ((-666 . -514) 84723) ((-685 . -309) 84661) ((-959 . -38) 84558) ((-731 . -38) 84528) ((-550 . -309) 84332) ((-316 . -1209) T) ((-351 . -233) T) ((-351 . -243) T) ((-313 . -1209) T) ((-289 . -1094) T) ((-1174 . -611) 84314) ((-707 . -1213) T) ((-1150 . -647) 84298) ((-1203 . -556) 84277) ((-707 . -556) T) ((-316 . -880) 84261) ((-316 . -882) 84186) ((-313 . -880) 84147) ((-313 . -882) NIL) ((-795 . -309) 84112) ((-319 . -713) 83953) ((-324 . -323) 83930) ((-485 . -102) T) ((-474 . -25) T) ((-474 . -21) T) ((-418 . -38) 83904) ((-316 . -1034) 83567) ((-225 . -1194) T) ((-225 . -1197) T) ((-3 . -611) 83549) ((-313 . -1034) 83479) ((-2 . -1094) T) ((-2 . |RecordCategory|) T) ((-829 . -611) 83461) ((-1107 . -1052) 83391) ((-580 . -916) T) ((-564 . -816) T) ((-564 . -916) T) ((-495 . -916) T) ((-136 . -1034) 83375) ((-225 . -95) T) ((-75 . -441) T) ((-75 . -395) T) ((0 . -611) 83357) ((-169 . -147) 83336) ((-169 . -145) 83287) ((-225 . -35) T) ((-49 . -611) 83269) ((-477 . -1052) T) ((-487 . -231) 83251) ((-484 . -964) 83235) ((-482 . -844) 83214) ((-217 . -231) 83196) ((-81 . -441) T) ((-81 . -395) T) ((-1140 . -34) T) ((-811 . -172) 83175) ((-727 . -102) T) ((-1022 . -611) 83142) ((-500 . -286) 83117) ((-316 . -377) 83086) ((-313 . -377) 83047) ((-313 . -338) 83008) ((-1079 . -611) 82990) ((-812 . -945) 82937) ((-658 . -131) T) ((-1232 . -145) 82916) ((-1232 . -147) 82895) ((-1168 . -102) T) ((-1167 . -102) T) ((-1161 . -102) T) ((-1153 . -1094) T) ((-1120 . -102) T) ((-222 . -34) T) ((-289 . -713) 82882) ((-1153 . -608) 82858) ((-592 . -309) NIL) ((-484 . -1094) 82836) ((-390 . -611) 82818) ((-510 . -846) T) ((-1144 . -229) 82768) ((-1251 . -1250) 82752) ((-1251 . -1237) 82729) ((-1244 . -1242) 82690) ((-1244 . -1237) 82660) ((-1244 . -1240) 82644) ((-1223 . -1221) 82605) ((-1223 . -1237) 82582) ((-619 . -611) 82564) ((-1223 . -1219) 82548) ((-695 . -916) T) ((-1168 . -284) 82514) ((-1167 . -284) 82480) ((-1161 . -284) 82446) ((-1074 . -1094) T) ((-1055 . -1094) T) ((-48 . -302) T) ((-316 . -896) 82412) ((-313 . -896) NIL) ((-1055 . -1062) 82391) ((-1114 . -882) 82373) ((-795 . -38) 82357) ((-264 . -637) 82305) ((-247 . -637) 82253) ((-697 . -1051) 82240) ((-594 . -1237) 82217) ((-1120 . -284) 82183) ((-319 . -172) 82114) ((-359 . -1094) T) ((-353 . -1094) T) ((-345 . -1094) T) ((-500 . -19) 82096) ((-1114 . -1034) 82078) ((-1096 . -151) 82062) ((-108 . -1094) T) ((-116 . -1051) 82049) ((-707 . -363) T) ((-500 . -602) 82024) ((-697 . -111) 82009) ((-436 . -102) T) ((-45 . -1143) 81959) ((-116 . -111) 81944) ((-633 . -716) T) ((-605 . -716) T) ((-811 . -514) 81877) ((-1031 . -1209) T) ((-939 . -151) 81861) ((-1217 . -611) 81843) ((-1166 . -452) 81774) ((-1160 . -1094) T) ((-1152 . -1094) T) ((-525 . -102) T) ((-520 . -102) 81724) ((-1136 . -644) 81698) ((-1119 . -452) 81649) ((-1081 . -1213) 81628) ((-778 . -1213) 81607) ((-776 . -1213) 81586) ((-62 . -1209) T) ((-477 . -611) 81538) ((-477 . -612) 81460) ((-1081 . -556) 81391) ((-990 . -1094) T) ((-778 . -556) 81302) ((-776 . -556) 81233) ((-482 . -411) 81202) ((-621 . -916) 81181) ((-454 . -1213) 81160) ((-727 . -309) 81147) ((-697 . -614) 81119) ((-398 . -611) 81101) ((-671 . -514) 81034) ((-660 . -25) T) ((-660 . -21) T) ((-454 . -556) 80965) ((-355 . -25) T) ((-355 . -21) T) ((-117 . -916) T) ((-117 . -816) NIL) ((-352 . -25) T) ((-352 . -21) T) ((-344 . -25) T) ((-344 . -21) T) ((-264 . -25) T) ((-264 . -21) T) ((-247 . -25) T) ((-247 . -21) T) ((-83 . -384) T) ((-83 . -395) T) ((-134 . -614) 80947) ((-116 . -614) 80919) ((-1261 . -611) 80901) ((-1215 . -846) T) ((-1203 . -1106) T) ((-1203 . -23) T) ((-1161 . -309) 80786) ((-1120 . -309) 80773) ((-1074 . -713) 80641) ((-862 . -644) 80601) ((-939 . -976) 80585) ((-906 . -21) T) ((-289 . -172) T) ((-906 . -25) T) ((-311 . -93) T) ((-868 . -846) 80536) ((-707 . -1106) T) ((-707 . -23) T) ((-697 . -1045) T) ((-643 . -1094) 80514) ((-630 . -1094) T) ((-581 . -1213) T) ((-518 . -1213) T) ((-697 . -233) T) ((-630 . -608) 80489) ((-581 . -556) T) ((-518 . -556) T) ((-359 . -713) 80441) ((-339 . -1051) 80425) ((-353 . -713) 80377) ((-345 . -713) 80329) ((-174 . -1051) 80261) ((-174 . -111) 80172) ((-108 . -713) 80122) ((-339 . -111) 80101) ((-274 . -1094) T) ((-273 . -1094) T) ((-272 . -1094) T) ((-271 . -1094) T) ((-270 . -1094) T) ((-269 . -1094) T) ((-268 . -1094) T) ((-212 . -1094) T) ((-211 . -1094) T) ((-169 . -1197) 80079) ((-169 . -1194) 80057) ((-209 . -1094) T) ((-208 . -1094) T) ((-116 . -1045) T) ((-207 . -1094) T) ((-206 . -1094) T) ((-203 . -1094) T) ((-202 . -1094) T) ((-201 . -1094) T) ((-200 . -1094) T) ((-199 . -1094) T) ((-198 . -1094) T) ((-197 . -1094) T) ((-196 . -1094) T) ((-195 . -1094) T) ((-194 . -1094) T) ((-193 . -1094) T) ((-240 . -102) 79847) ((-169 . -35) 79825) ((-169 . -95) 79803) ((-650 . -1034) 79699) ((-482 . -1052) 79629) ((-1107 . -1094) 79419) ((-1136 . -34) T) ((-666 . -489) 79403) ((-73 . -1209) T) ((-105 . -611) 79385) ((-1283 . -611) 79367) ((-381 . -611) 79349) ((-339 . -614) 79301) ((-174 . -614) 79218) ((-1208 . -490) 79199) ((-727 . -38) 79048) ((-571 . -1197) T) ((-571 . -1194) T) ((-531 . -611) 79030) ((-520 . -309) 78968) ((-500 . -611) 78950) ((-500 . -612) 78932) ((-1208 . -611) 78898) ((-1161 . -1145) NIL) ((-1023 . -1065) 78867) ((-1023 . -1094) T) ((-1000 . -102) T) ((-967 . -102) T) ((-910 . -102) T) ((-889 . -1034) 78844) ((-1136 . -722) T) ((-999 . -644) 78789) ((-476 . -1094) T) ((-463 . -1094) T) ((-585 . -23) T) ((-571 . -35) T) ((-571 . -95) T) ((-427 . -102) T) ((-1057 . -229) 78735) ((-1168 . -38) 78632) ((-862 . -722) T) ((-690 . -916) T) ((-511 . -25) T) ((-507 . -21) T) ((-507 . -25) T) ((-1167 . -38) 78473) ((-339 . -1045) T) ((-1161 . -38) 78269) ((-1074 . -172) T) ((-174 . -1045) T) ((-1120 . -38) 78166) ((-708 . -47) 78143) ((-359 . -172) T) ((-353 . -172) T) ((-519 . -57) 78117) ((-497 . -57) 78067) ((-351 . -1278) 78044) ((-225 . -452) T) ((-319 . -290) 77995) ((-345 . -172) T) ((-174 . -243) T) ((-1222 . -846) 77894) ((-108 . -172) T) ((-868 . -988) 77878) ((-654 . -1106) T) ((-581 . -363) T) ((-581 . -329) 77865) ((-518 . -329) 77842) ((-518 . -363) T) ((-316 . -307) 77821) ((-313 . -307) T) ((-600 . -846) 77800) ((-1107 . -713) 77742) ((-520 . -282) 77726) ((-654 . -23) T) ((-418 . -231) 77710) ((-313 . -1018) NIL) ((-336 . -23) T) ((-103 . -1006) 77694) ((-45 . -36) 77673) ((-610 . -1094) T) ((-351 . -368) T) ((-524 . -102) T) ((-495 . -27) T) ((-240 . -309) 77611) ((-1081 . -1106) T) ((-1282 . -644) 77585) ((-778 . -1106) T) ((-776 . -1106) T) ((-454 . -1106) T) ((-1056 . -452) T) ((-948 . -452) 77536) ((-1109 . -1077) T) ((-110 . -1094) T) ((-1081 . -23) T) ((-813 . -1052) T) ((-778 . -23) T) ((-776 . -23) T) ((-481 . -452) 77487) ((-1153 . -514) 77270) ((-381 . -382) 77249) ((-1172 . -411) 77233) ((-461 . -23) T) ((-454 . -23) T) ((-96 . -1094) T) ((-484 . -514) 77166) ((-289 . -290) T) ((-1076 . -611) 77148) ((-1076 . -612) 77129) ((-407 . -905) 77108) ((-50 . -1106) T) ((-1020 . -916) T) ((-999 . -722) T) ((-708 . -882) NIL) ((-581 . -1106) T) ((-518 . -1106) T) ((-839 . -644) 77081) ((-1203 . -131) T) ((-1161 . -400) 77033) ((-1000 . -309) NIL) ((-811 . -489) 77017) ((-354 . -916) T) ((-1150 . -34) T) ((-407 . -644) 76969) ((-50 . -23) T) ((-707 . -131) T) ((-708 . -1034) 76849) ((-581 . -23) T) ((-108 . -514) NIL) ((-518 . -23) T) ((-169 . -409) 76820) ((-1134 . -1094) T) ((-1274 . -1273) 76804) ((-697 . -791) T) ((-697 . -788) T) ((-1114 . -307) T) ((-379 . -147) T) ((-280 . -611) 76786) ((-1222 . -988) 76756) ((-48 . -916) T) ((-671 . -489) 76740) ((-251 . -1266) 76710) ((-250 . -1266) 76680) ((-1170 . -846) T) ((-1107 . -172) 76659) ((-1114 . -1018) T) ((-1042 . -34) T) ((-832 . -147) 76638) ((-832 . -145) 76617) ((-733 . -107) 76601) ((-610 . -132) T) ((-482 . -1094) 76391) ((-1172 . -1052) T) ((-867 . -452) T) ((-85 . -1209) T) ((-240 . -38) 76361) ((-141 . -107) 76343) ((-708 . -377) 76327) ((-829 . -614) 76195) ((-1114 . -545) T) ((-579 . -102) T) ((-129 . -490) 76177) ((-390 . -1051) 76161) ((-1282 . -722) T) ((-1166 . -945) 76130) ((-129 . -611) 76097) ((-52 . -611) 76079) ((-1119 . -945) 76046) ((-649 . -411) 76030) ((-1271 . -1052) T) ((-619 . -1051) 76014) ((-658 . -25) T) ((-658 . -21) T) ((-1152 . -514) NIL) ((-1251 . -102) T) ((-1244 . -102) T) ((-390 . -111) 75993) ((-222 . -254) 75977) ((-1223 . -102) T) ((-1049 . -1094) T) ((-1000 . -1145) T) ((-1049 . -1048) 75917) ((-814 . -1094) T) ((-343 . -1213) T) ((-633 . -644) 75901) ((-619 . -111) 75880) ((-605 . -644) 75864) ((-595 . -102) T) ((-311 . -490) 75845) ((-585 . -131) T) ((-594 . -102) T) ((-414 . -1094) T) ((-385 . -1094) T) ((-311 . -611) 75811) ((-227 . -1094) 75789) ((-643 . -514) 75722) ((-630 . -514) 75566) ((-829 . -1045) 75545) ((-641 . -151) 75529) ((-343 . -556) T) ((-708 . -896) 75472) ((-550 . -229) 75422) ((-1251 . -284) 75388) ((-1074 . -290) 75339) ((-487 . -844) T) ((-223 . -1106) T) ((-1244 . -284) 75305) ((-1223 . -284) 75271) ((-1000 . -38) 75221) ((-217 . -844) T) ((-1203 . -493) 75187) ((-910 . -38) 75139) ((-839 . -790) 75118) ((-839 . -787) 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73994) ((-1000 . -400) 73976) ((-811 . -602) 73953) ((-516 . -846) 73932) ((-496 . -846) 73911) ((-40 . -1213) T) ((-995 . -1034) 73807) ((-50 . -131) T) ((-581 . -131) T) ((-518 . -131) T) ((-294 . -644) 73667) ((-343 . -329) 73644) ((-343 . -363) T) ((-322 . -323) 73621) ((-319 . -286) 73606) ((-40 . -556) T) ((-379 . -1194) T) ((-379 . -1197) T) ((-1031 . -1185) 73581) ((-1182 . -235) 73531) ((-1161 . -231) 73483) ((-330 . -1094) T) ((-379 . -95) T) ((-379 . -35) T) ((-1031 . -107) 73429) ((-477 . -1045) T) ((-479 . -235) 73379) ((-1153 . -489) 73313) ((-1283 . -1051) 73297) ((-381 . -1051) 73281) ((-477 . -243) T) ((-812 . -102) T) ((-710 . -147) 73260) ((-710 . -145) 73239) ((-484 . -489) 73223) ((-485 . -335) 73192) ((-1283 . -111) 73171) ((-512 . -1094) T) ((-482 . -172) 73150) ((-995 . -377) 73134) ((-413 . -102) T) ((-381 . -111) 73113) ((-995 . -338) 73097) ((-279 . -979) 73081) ((-278 . -979) 73065) ((-1281 . -611) 73047) ((-1279 . -611) 73029) ((-110 . -514) NIL) ((-1166 . 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-1052) T) ((-666 . -1051) 68720) ((-517 . -1077) T) ((-461 . -25) T) ((-117 . -556) T) ((-461 . -21) T) ((-454 . -25) T) ((-454 . -21) T) ((-1281 . -1051) 68704) ((-1136 . -1034) 68600) ((-813 . -290) 68579) ((-1279 . -1051) 68563) ((-819 . -1094) T) ((-1243 . -1194) 68529) ((-962 . -963) T) ((-666 . -111) 68508) ((-295 . -514) 68300) ((-1243 . -1197) 68266) ((-1243 . -95) 68232) ((-1226 . -102) 68210) ((-251 . -309) 68148) ((-250 . -309) 68086) ((-1223 . -231) 68038) ((-1153 . -612) NIL) ((-1153 . -611) 68020) ((-1222 . -1194) 67986) ((-1222 . -1197) 67952) ((-1217 . -368) T) ((-96 . -93) T) ((-1214 . -840) T) ((-1136 . -377) 67936) ((-1114 . -816) T) ((-1114 . -916) T) ((-1107 . -602) 67913) ((-1074 . -612) 67897) ((-484 . -611) 67829) ((-811 . -288) 67806) ((-606 . -151) 67753) ((-418 . -1052) T) ((-487 . -713) 67703) ((-482 . -489) 67687) ((-327 . -846) 67666) ((-339 . -644) 67640) ((-50 . -21) T) ((-50 . -25) T) ((-217 . -713) 67590) ((-169 . -720) 67561) ((-174 . -644) 67493) 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-1051) 65783) ((-690 . -556) T) ((-695 . -23) T) ((-643 . -611) 65715) ((-643 . -612) 65676) ((-630 . -612) NIL) ((-630 . -611) 65658) ((-487 . -172) T) ((-223 . -21) T) ((-217 . -172) T) ((-223 . -25) T) ((-474 . -1197) 65624) ((-474 . -1194) 65590) ((-274 . -611) 65572) ((-273 . -611) 65554) ((-272 . -611) 65536) ((-271 . -611) 65518) ((-270 . -611) 65500) ((-500 . -647) 65482) ((-269 . -611) 65464) ((-339 . -722) T) ((-268 . -611) 65446) ((-110 . -19) 65428) ((-174 . -722) T) ((-500 . -373) 65410) ((-212 . -611) 65392) ((-520 . -1143) 65376) ((-500 . -123) T) ((-110 . -602) 65351) ((-211 . -611) 65333) ((-474 . -35) 65299) ((-474 . -95) 65265) ((-209 . -611) 65247) ((-208 . -611) 65229) ((-207 . -611) 65211) ((-206 . -611) 65193) ((-203 . -611) 65175) ((-202 . -611) 65157) ((-201 . -611) 65139) ((-200 . -611) 65121) ((-199 . -611) 65103) ((-198 . -611) 65085) ((-197 . -611) 65067) ((-536 . -1097) 65019) ((-196 . -611) 65001) ((-195 . -611) 64983) ((-45 . -489) 64920) ((-194 . -611) 64902) ((-193 . -611) 64884) ((-152 . -614) 64853) ((-1109 . -102) T) ((-811 . -111) 64743) ((-641 . -102) 64693) ((-482 . -286) 64670) ((-1107 . -611) 64401) ((-1095 . -1094) T) ((-1042 . -1209) T) ((-1282 . -1034) 64385) ((-621 . -1106) T) ((-1166 . -309) 64372) ((-1129 . -1094) T) ((-1119 . -309) 64359) ((-1090 . -1077) T) ((-1084 . -1077) T) ((-1067 . -1077) T) ((-1060 . -1077) T) ((-1032 . -1077) T) ((-1015 . -1077) T) ((-117 . -1106) T) ((-815 . -102) T) ((-624 . -1077) T) ((-621 . -23) T) ((-1144 . -514) 64151) ((-483 . -1077) T) ((-386 . -102) T) ((-324 . -102) T) ((-218 . -1077) T) ((-959 . -1094) T) ((-152 . -1045) T) ((-727 . -411) 64135) ((-117 . -23) T) ((-999 . -896) 64087) ((-731 . -1094) T) ((-711 . -1094) T) ((-453 . -1094) T) ((-407 . -1209) T) ((-316 . -430) 64071) ((-591 . -93) T) ((-1023 . -612) 64032) ((-1020 . -1213) T) ((-225 . -102) T) ((-1023 . -611) 63994) ((-812 . -231) 63978) ((-811 . -614) 63708) ((-1020 . -556) T) ((-829 . -644) 63681) ((-354 . -1213) T) 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. -363) T) ((-1134 . -611) 60820) ((-45 . -1247) 60770) ((-867 . -102) T) ((-641 . -282) 60754) ((-695 . -1054) T) ((-1270 . -102) T) ((-1269 . -102) T) ((-477 . -644) 60719) ((-468 . -1094) T) ((-45 . -602) 60644) ((-1152 . -288) 60619) ((-289 . -614) 60591) ((-40 . -637) 60530) ((-48 . -363) T) ((-1100 . -611) 60512) ((-630 . -288) 60487) ((-482 . -611) 60218) ((-240 . -411) 60187) ((-948 . -309) 60174) ((-65 . -1209) T) ((-1057 . -514) 60018) ((-621 . -131) T) ((-546 . -102) T) ((-481 . -309) 60005) ((-604 . -1094) T) ((-117 . -131) T) ((-667 . -1094) T) ((-289 . -1045) T) ((-180 . -1094) T) ((-161 . -1094) T) ((-156 . -1094) T) ((-154 . -1094) T) ((-453 . -757) T) ((-31 . -1077) T) ((-959 . -172) 59956) ((-966 . -93) T) ((-1074 . -1051) 59866) ((-619 . -790) 59845) ((-592 . -1094) T) ((-619 . -787) 59824) ((-619 . -722) T) ((-295 . -286) 59803) ((-294 . -1209) T) ((-1049 . -611) 59765) ((-1049 . -612) 59726) ((-1020 . -1106) T) ((-169 . -102) T) ((-275 . -846) T) ((-1159 . -1094) 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. -286) 26276) ((-487 . -905) NIL) ((-316 . -29) 26246) ((-108 . -1209) T) ((-999 . -1106) T) ((-217 . -905) NIL) ((-910 . -1051) 26198) ((-1074 . -1034) 26094) ((-1000 . -111) 26028) ((-999 . -23) T) ((-733 . -691) 26012) ((-264 . -231) 25996) ((-427 . -1051) 25980) ((-379 . -1052) T) ((-240 . -614) 25710) ((-910 . -111) 25648) ((-690 . -1197) NIL) ((-487 . -644) 25598) ((-108 . -880) 25580) ((-108 . -882) 25562) ((-690 . -1194) NIL) ((-217 . -644) 25512) ((-359 . -1034) 25496) ((-353 . -1034) 25480) ((-327 . -309) 25418) ((-345 . -1034) 25402) ((-225 . -290) T) ((-427 . -111) 25381) ((-60 . -611) 25313) ((-169 . -172) T) ((-1114 . -846) T) ((-108 . -1034) 25273) ((-888 . -1094) T) ((-832 . -1052) T) ((-823 . -1052) T) ((-690 . -35) NIL) ((-690 . -95) NIL) ((-313 . -988) 25234) ((-183 . -102) T) ((-580 . -452) T) ((-564 . -452) T) ((-495 . -452) T) ((-407 . -363) T) ((-240 . -1045) 25164) ((-1144 . -34) T) ((-477 . -916) T) ((-995 . -637) 25112) ((-251 . -602) 25089) ((-250 . -602) 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\ No newline at end of file diff --git a/src/share/algebra/compress.daase b/src/share/algebra/compress.daase index c5a002bc..0a3daf12 100644 --- a/src/share/algebra/compress.daase +++ b/src/share/algebra/compress.daase @@ -1,5 +1,5 @@ -(30 . 3451919707) +(30 . 3452194354) (4410 |Enumeration| |Mapping| |Record| |Union| |ofCategory| |isDomain| ATTRIBUTE |package| |domain| |category| CATEGORY |nobranch| AND |Join| |ofType| SIGNATURE "failed" "algebra" |OneDimensionalArrayAggregate&| @@ -477,661 +477,659 @@ |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |ParadoxicalCombinatorsForStreams| |ZeroDimensionalSolvePackage| |IntegerLinearDependence| |IntegerMod| |Enumeration| |Mapping| - |Record| |Union| |seriesSolve| |popFortranOutputStack| |lazyEvaluate| - |sinh| |makeYoungTableau| |reduce| |intermediateResultsIF| - |gcdPrimitive| |innerSolve| |restorePrecision| |generators| - |lazyVariations| |ncols| |oneDimensionalArray| |getMatch| |cosh| - |fortranCharacter| |outputAsFortran| |style| 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|btwFact| |genericPosition| |max| - |empty| |orthonormalBasis| |create3Space| |universe| |cschIfCan| - |consnewpol| |incrementKthElement| |checkPrecision| |op| |trueEqual| - |subresultantSequence| |perfectSqrt| |applyRules| |torsion?| - |resultant| |parent| |coth2trigh| |test| |eulerE| |simpleBounds?| - |laplace| |composites| |viewpoint| |specialTrigs| |setProperties!| - |atom?| |genericLeftMinimalPolynomial| |c06fuf| |buildSyntax| - |selectAndPolynomials| |normal01| |chainSubResultants| |myDegree| - |csc2sin| |removeRoughlyRedundantFactorsInPols| |mainContent| |limit| - |characteristicPolynomial| |setLabelValue| |printStatement| - |nextIrreduciblePoly| |pattern| |positiveRemainder| |transcendent?| - |initiallyReduced?| |rootsOf| |heapSort| |light| - |indiceSubResultantEuclidean| |recip| |magnitude| |root?| |eq| - |algSplitSimple| |reify| |rowEchLocal| |setAdaptive| |mesh| |maxint| - |printInfo| |ranges| |principalIdeal| |shallowExpand| |iter| - |OMconnectTCP| |ramifiedAtInfinity?| |critB| |antiAssociative?| - |prefix| |rangePascalTriangle| |bit?| |union| |s19acf| FG2F |nodeOf?| - |OMcloseConn| |semiSubResultantGcdEuclidean1| |printStats!| - |character?| |s14baf| |elementary| |leftNorm| |cartesian| - |selectFiniteRoutines| |prepareSubResAlgo| |OMputString| |message| - |OMputInteger| |solid| |implies| |color| |refine| - |primPartElseUnitCanonical| |parts| |returns| |f07fdf| |qualifier| - |stosePrepareSubResAlgo| |freeOf?| |vark| |coordinates| |putColorInfo| - |viewPhiDefault| |getMultiplicationTable| |identityMatrix| - |semiResultantEuclideannaif| |reducedContinuedFraction| |square?| - |cSin| |wrregime| |superscript| |palglimint0| |meshFun2Var| |iomode| - |selectOrPolynomials| |neglist| |whileLoop| |internalZeroSetSplit| - |basisOfCommutingElements| |overset?| |resetAttributeButtons| - |distdfact| |badValues| |hexDigit| |separant| |unitNormal| |close| - |OMputEndObject| |collectUnder| |setnext!| |SturmHabichtCoefficients| - |computeCycleEntry| |groebner?| |imagk| |surface| - |coercePreimagesImages| |node| |readUInt32!| |powers| |coHeight| - |duplicates| |bubbleSort!| |exp| |stirling2| |readUInt16!| - |createThreeSpace| |cons| |infix| |birth| |nthCoef| |atanIfCan| - |display| |irreducibleFactors| |idealiserMatrix| |trigs2explogs| - |halfExtendedResultant2| |cyclic| |normalized?| |expandTrigProducts| - |coefficient| |row| |resultantReduit| |operator| |exactQuotient| - |factorFraction| |lSpaceBasis| |airyBi| |updateStatus!| - |explicitlyEmpty?| |before?| |nand| |colorDef| |every?| |f02bjf| - |powerAssociative?| |outerProduct| |points| - |rightCharacteristicPolynomial| |relationsIdeal| |basisOfRightNucloid| - |nthFractionalTerm| |recur| |factor1| |s13aaf| |exprToXXP| |matrixGcd| - |rdregime| |symmetricTensors| |usingTable?| |bezoutResultant| - |seriesToOutputForm| |lexico| |flagFactor| |printInfo!| |lifting| - |mainMonomial| |transform| |leftUnit| |integerIfCan| |linears| - |standardBasisOfCyclicSubmodule| |innerint| |mapExpon| |input| |queue| - |rootDirectory| |sinIfCan| |irreducibleRepresentation| |s13adf| - |rightPower| |OMputSymbol| |source| |infiniteProduct| |library| - |interpolate| |scanOneDimSubspaces| |sample| - |generalizedContinuumHypothesisAssumed| |makeEq| |d01akf| |e01baf| - |overbar| |pleskenSplit| |leftDiscriminant| |balancedFactorisation| - |symmetricGroup| |setOfMinN| |e02bef| |rewriteIdealWithHeadRemainder| - |dictionary| |commutator| |sinh2csch| |iiperm| |findBinding| |repSq| - |musserTrials| |KrullNumber| |pdf2ef| |setFormula!| |fortranLiteral| - |basisOfCentroid| |subscriptedVariables| |lowerPolynomial| - |modifyPoint| |extendedIntegrate| |tubePlot| |makeFloatFunction| - |endOfFile?| |OMgetAttr| |basisOfLeftNucloid| |third| |list?| - |LiePoly| |entries| |contains?| |s17dgf| |signature| |sayLength| - |setPoly| |set| |subNodeOf?| |setright!| |c06ecf| |ocf2ocdf| |s17dhf| - |viewDeltaXDefault| |fortranDouble| |ddFact| |target| - |wordInStrongGenerators| |lfextendedint| |dmpToP| |sum| |e04ycf| - |split!| |normalDenom| |inR?| |leadingBasisTerm| |makeCrit| - |fixedPoints| |setErrorBound| |cycleSplit!| |pushFortranOutputStack| - |gensym| |iisech| |overlap| |f01maf| |optpair| |iprint| |exprex| - |getBadValues| |rationalApproximation| |s17agf| |explicitlyFinite?| - |horizConcat| |check| |scaleRoots| |mapmult| |pr2dmp| |testModulus| - |generalizedInverse| |sparsityIF| |cCoth| |stop| |void| |isOr| - |createLowComplexityNormalBasis| |rightNorm| |primitive?| - |createPrimitivePoly| |OMgetString| |pdct| |cot2trig| |FormatArabic| - |green| |operators| |systemCommand| |blankSeparate| |prefixRagits| - |rightDiscriminant| |totalfract| |primextintfrac| |ricDsolve| - |OMgetEndBind| |lp| |goodnessOfFit| |simplifyLog| |ravel| - |primintegrate| |stiffnessAndStabilityOfODEIF| |f01qef| |HenselLift| - |reducedSystem| |numberOfComposites| |setScreenResolution| - |removeRedundantFactors| |getProperty| |mapBivariate| |reshape| - |presuper| |mdeg| |nativeModuleExtension| |OMputEndBind| |argscript| - |UP2ifCan| 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|mapMatrixIfCan| |gcdPolynomial| |basisOfNucleus| |edf2df| - |reduceBasisAtInfinity| |stoseLastSubResultant| |kroneckerDelta| - |fortranCompilerName| |exprToGenUPS| |gderiv| |OMsupportsSymbol?| - |removeZeroes| |sncndn| |monicCompleteDecompose| |mkAnswer| - |complexForm| |charClass| |box| |rewriteSetWithReduction| |double?| - |testDim| |atrapezoidal| |ellipticCylindrical| |complexEigenvalues| - |selectsecond| |parabolic| |leftAlternative?| |round| |outputAsTex| - |ode2| |cyclicCopy| |computePowers| |reciprocalPolynomial| |pop!| - |removeConstantTerm| |one?| |s17dcf| |assign| |sturmSequence| |linear| - |subHeight| |hdmpToP| |permutationRepresentation| |clikeUniv| - |beauzamyBound| |totolex| |mainVariables| - |semiSubResultantGcdEuclidean2| |leftLcm| |droot| |orbit| - |complexRoots| |coth2tanh| |expint| |resultantEuclideannaif| - |setAttributeButtonStep| |safeFloor| |changeThreshhold| |polynomial| - |pole?| |dominantTerm| |decreasePrecision| |abs| |findConstructor| - |untab| |delete| |swap!| |precision| |meatAxe| |index| |multisect| - |duplicates?| |s01eaf| |cyclicGroup| |chebyshevU| |dihedral| |connect| - |perfectNthPower?| |pointColorPalette| |cyclePartition| |sh| - |capacity| |lastSubResultantEuclidean| |lintgcd| |deepestTail| |arg1| - |nextColeman| |mkPrim| |cCsc| |solveLinearPolynomialEquation| - |minimumDegree| |leastPower| |writeInt8!| |numberOfChildren| - |complexLimit| |arg2| |basisOfRightAnnihilator| |super| |elements| - |coefficients| |pair| |skewSFunction| |argumentList!| - |numericalOptimization| |setMinPoints| |LyndonWordsList| |stFunc1| - |intPatternMatch| |knownInfBasis| |f01qcf| |antiCommutator| |radPoly| - |var1Steps| |operation| |LazardQuotient2| |power| |value| |conditions| - |tan2cot| |d02raf| |represents| |mulmod| |physicalLength!| - |prolateSpheroidal| |#| |setRow!| |exponents| |f2df| |redmat| |match| - |c05pbf| |lazyGintegrate| EQ |s18adf| |complexSolve| |f2st| - |appendPoint| |weakBiRank| |hasSolution?| |result| |tanQ| - |unitCanonical| |e02ajf| |iiacosh| |pushucoef| |ipow| - |minimalPolynomial| |numberOfHues| |bitLength| |univariatePolynomials| - |pair?| |symFunc| |kovacic| |nthFactor| |createPrimitiveElement| - |unparse| |monic?| |nlde| |hypergeometric0F1| |reset| |permutation| - |cSech| |low| |notelem| |primitiveElement| |acschIfCan| |d03eef| - |unit| |totalLex| |internalSubPolSet?| |s19abf| |leviCivitaSymbol| - |createMultiplicationTable| |rightDivide| |subCase?| |toScale| |write| - |imports| |OMgetEndError| |oddInfiniteProduct| |rightRecip| |hMonic| - |pmComplexintegrate| |ef2edf| |genericRightNorm| |byteBuffer| |save| - |vconcat| |addiag| |splitNodeOf!| |bindings| |zeroSquareMatrix| - |radicalEigenvector| |rCoord| |putGraph| |log10| |numFunEvals3D| |any| - |npcoef| |charthRoot| |palgextint| |prem| |eigenvalues| - |replaceKthElement| |bitand| |just| |OMgetEndAttr| - |selectSumOfSquaresRoutines| |factorSquareFree| |defineProperty| - |iroot| |d01anf| |createZechTable| |rightExtendedGcd| |bitior| - |mainCharacterization| |setImagSteps| |cosh2sech| |numeric| |s14abf| - |invmultisect| |drawComplexVectorField| |equiv| |raisePolynomial| - |interval| |Gamma| |modularGcdPrimitive| - |rewriteIdealWithQuasiMonicGenerators| |radical| |reduceByQuasiMonic| - |infinityNorm| |biRank| |f01qdf| |sec2cos| |prepareDecompose| - |makeViewport2D| |lfinfieldint| |extendedEuclidean| |OMgetFloat| - |e04jaf| |aQuadratic| |generator| |froot| |dec| |evenlambert| |bag| - |flexibleArray| |difference| |safeCeiling| - |noncommutativeJordanAlgebra?| |OMgetInteger| |ratDsolve| - |generalLambert| |approxSqrt| |fglmIfCan| |genericLeftNorm| - |scalarMatrix| |Nul| |imagK| |rotate!| |setref| |randomLC| |bringDown| - |addPoint2| |GospersMethod| |rspace| |curve?| |pToDmp| |externalList| - |firstUncouplingMatrix| |halfExtendedSubResultantGcd2| - |repeatUntilLoop| |factorset| |ScanFloatIgnoreSpacesIfCan| - |roughBasicSet| |iiacos| |anticoord| |cyclicEqual?| |shiftRight| - |maxColIndex| |completeSmith| |outputFloating| - |subResultantGcdEuclidean| |gethi| |readLine!| |maxIndex| |drawCurves| - |OMputEndApp| |torsionIfCan| |isAbsolutelyIrreducible?| - |stoseSquareFreePart| |search| |radicalSimplify| |doubleComplex?| - |baseRDE| |createNormalElement| |index?| |null?| |axes| |elseBranch| - |OMUnknownSymbol?| |removeSquaresIfCan| |edf2efi| |outputSpacing| - |integralLastSubResultant| |polarCoordinates| |matrix| |shiftLeft| - |symmetricPower| |numer| |makeUnit| |showArrayValues| - |viewZoomDefault| |prinshINFO| |create| |setClipValue| |getlo| - |reduceLODE| |inHallBasis?| |denom| |eisensteinIrreducible?| |e01bgf| - |s17def| |generalizedEigenvectors| |monicDivide| |minimize| - |figureUnits| |permutations| |Beta| |divisors| |generalTwoFactor| - |messagePrint| |derivative| |cAsech| |eq?| Y |factorial| |c05nbf| - |evaluateInverse| |pi| |makeSketch| |s14aaf| |continuedFraction| - |minPoly| |pointData| |readByte!| |operations| |parabolicCylindrical| - |internalDecompose| |monomRDEsys| |infinity| |genericLeftTrace| - |removeSinSq| |categories| |createMultiplicationMatrix| |bytes| - |sech2cosh| |userOrdered?| |acothIfCan| |cap| |bumptab1| |drawComplex| - |leadingTerm| |qinterval| |chineseRemainder| |shift| |closedCurve?| F - |length| |normFactors| ~= |trapezoidalo| |bfKeys| |tanSum| |generic| - |coefChoose| |listOfMonoms| |SturmHabicht| |localIntegralBasis| - |scripts| |prinpolINFO| |coerce| |equality| |systemSizeIF| - |realElementary| |kernel| |f02bbf| |latex| |compdegd| |parseString| - |lazyPseudoRemainder| |construct| |OMgetError| |alphabetic?| |draw| - |linearAssociatedOrder| |realRoots| |rquo| |null| - |invertibleElseSplit?| |nthExponent| |genericRightTraceForm| |nullary| - |OMencodingXML| |getIdentifier| |asinhIfCan| |bitCoef| |mapdiv| - |pushuconst| |not| |OMgetEndApp| |cothIfCan| |setvalue!| |measure| - |powerSum| |s18acf| |logpart| |moebius| |adaptive3D?| |and| - |setProperty| |root| |composite| |rischDEsys| |showSummary| |iisqrt2| - |removeSuperfluousQuasiComponents| 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|pushdterm| |bat1| |leastAffineMultiple| |central?| |lineColorDefault| - |quadratic?| |e02gaf| |maxPoints3D| |sort| |roughEqualIdeals?| - |probablyZeroDim?| |decomposeFunc| |setelt| |shufflein| - |removeSuperfluousCases| |Aleph| |OMputBind| |euclideanSize| - |unrankImproperPartitions1| |thenBranch| |createIrreduciblePoly| - |c06frf| |setlast!| |extractProperty| |subPolSet?| |dimension| |leaf?| - |ode| |port| |zero?| |e02daf| |OMreadFile| |denomLODE| |bezoutMatrix| - |absolutelyIrreducible?| |sorted?| |polyRDE| |slex| - |algebraicCoefficients?| |stopTableInvSet!| |clearTable!| |fintegrate| - |bezoutDiscriminant| |combineFeatureCompatibility| |reflect| - |predicates| |inconsistent?| |random| |t| |associatedEquations| - |exquo| |rotatex| |lazyPseudoQuotient| |headAst| |lowerCase?| |error| - |s17dlf| |eyeDistance| |listYoungTableaus| |powern| |identification| - |div| |lfextlimint| |OMgetObject| |rootRadius| |assert| |aCubic| - |swapColumns!| |indicialEquationAtInfinity| |nextNormalPoly| - |normDeriv2| |iicos| |quo| |alphanumeric?| |nextPrime| - |toseLastSubResultant| |declare| |output| |dot| |kmax| |linear?| - |rationalPoint?| |f02aaf| |screenResolution| |leftTrace| |omError| - |csubst| |nullSpace| |contractSolve| |tableau| |mergeDifference| - |lowerCase!| |makeVariable| |rem| |position!| |setsubMatrix!| - |pushdown| |palgint| |mapGen| |upperCase| |showTheFTable| - |invertible?| |fortranLogical| |splitLinear| |henselFact| |squareFree| - |sn| |failed?| |primes| |rationalFunction| |karatsuba| |qelt| - |discreteLog| |makeSin| |OMreceive| |colorFunction| |call| - |stiffnessAndStabilityFactor| |lazyPquo| |irreducible?| - |rightTraceMatrix| |qsetelt| |PollardSmallFactor| |iiasech| |leftZero| - |discriminant| |leadingCoefficientRicDE| |edf2fi| |shade| |powmod| - |wordInGenerators| |pow| |xRange| |UpTriBddDenomInv| |multiEuclidean| - |OMopenString| |OMputEndError| |readBytes!| |symmetricDifference| - |quote| |graphState| |graphs| |yRange| |constantToUnaryFunction| - |constantLeft| |argumentListOf| |listBranches| |next| |mainKernel| - |characteristicSet| |iiabs| |zoom| |maxRowIndex| |zRange| |makeMulti| - |linearPart| |univcase| |brillhartIrreducible?| |clipPointsDefault| - |pushup| |maxPoints| |scan| |map!| |stoseInvertibleSetreg| |isImplies| - |primeFrobenius| |nonQsign| |rightUnit| |qsetelt!| |bothWays| - |OMgetEndBVar| |integralAtInfinity?| |c06ekf| |integralMatrix| - |dfRange| |determinant| |setEmpty!| |distFact| |li| |getExplanations| - |c06fpf| |s20acf| |distance| |f04adf| |cot2tan| |iFTable| - |rowEchelonLocal| |laurentIfCan| |OMputFloat| |rroot| |d02ejf| - |delete!| |fortranCarriageReturn| |hasHi| |OMread| |smith| - |genericRightTrace| |viewWriteAvailable| |setColumn!| |numerator| - |exQuo| |leaves| |leftRegularRepresentation| |zeroDimPrime?| |ord| - |nthr| |generalizedContinuumHypothesisAssumed?| |minrank| - |antisymmetric?| |countable?| |identity| |listexp| |trivialIdeal?| BY - |acsch| |startTableInvSet!| |categoryFrame| |numberOfComponents| - |quasiRegular?| |vspace| |regularRepresentation| |arity| - |functionIsContinuousAtEndPoints| |OMunhandledSymbol| - |quotedOperators| |constantKernel| |OMencodingSGML| |acotIfCan| |char| - |insertTop!| |viewDefaults| |makeGraphImage| |dark| |showAllElements| - |explogs2trigs| |constantOperator| |cCos| |asechIfCan| |enterInCache| - |polygon?| |plusInfinity| |mapSolve| |OMwrite| |resetNew| |nullary?| - |imaginary| |leftQuotient| |transpose| |subscript| |minusInfinity| - |graeffe| |lo| |dflist| |expt| |number?| |clipBoolean| |even?| - |zeroDim?| |tanNa| |groebnerIdeal| |lyndon?| |complete| - |unrankImproperPartitions0| |varselect| |e02ddf| |sinhcosh| - |factorPolynomial| |incr| |subTriSet?| |changeWeightLevel| NOT - |revert| |float| |numberOfMonomials| |deepCopy| |divisorCascade| - |e04mbf| |OMReadError?| |squareFreePolynomial| |hi| |besselY| - |epilogue| OR |simplifyExp| |escape| |numberOfImproperPartitions| - |genus| |stripCommentsAndBlanks| |signatureAst| |bipolarCylindrical| - |printTypes| |arguments| |curveColor| AND |symbolIfCan| |cExp| - |bivariateSLPEBR| |leftOne| |type| |real?| |swapRows!| |c05adf| - |rightMult| |mask| |resolve| |chebyshevT| |fractRadix| |presub| - |prologue| |cAcsc| |sqfrFactor| |summation| |mathieu22| |flatten| - |sinhIfCan| |virtualDegree| |minColIndex| |expintfldpoly| - |positiveSolve| |nextsubResultant2| |d01aqf| |condition| - |sortConstraints| |inverse| |euclideanGroebner| |unravel| - |semiResultantEuclidean2| |addMatch| |mainVariable?| |Si| - |listConjugateBases| |rationalPoints| |pastel| |degreeSubResultant| - |repeating?| |remainder| |extractPoint| |f04mcf| |lowerCase| - |factorList| |complexNumericIfCan| |rootSimp| |showScalarValues| - |split| |deriv| |bivariate?| |RittWuCompare| |leftMinimalPolynomial| - |iisinh| |removeCoshSq| |outputArgs| |LiePolyIfCan| - |computeCycleLength| |indicialEquations| GE |e04fdf| - |extendedResultant| |quasiMonic?| |mvar| |s17aef| |expIfCan| - |generalizedEigenvector| |mesh?| |SFunction| |cfirst| |comment| GT - |cAcot| |quadraticForm| |linkToFortran| |maximumExponent| - |extractIfCan| |pseudoDivide| |complement| |rightFactorIfCan| - |partialNumerators| |LyndonBasis| LE |weight| |fTable| |solveLinear| - |rischDE| |associatorDependence| |signAround| |gbasis| |harmonic| - |slash| |viewThetaDefault| |blue| * LT |setTopPredicate| - |lastSubResultantElseSplit| |sumOfKthPowerDivisors| |ListOfTerms| - |inf| |airyAi| |changeBase| |bottom!| |generalSqFr| - |shanksDiscLogAlgorithm| |multiple?| |extractBottom!| |pointLists| - |center| |identitySquareMatrix| |triangSolve| |divisor| |pol| - |separate| |removeRedundantFactorsInPols| |radicalRoots| |diagonal?| - |loopPoints| |stoseIntegralLastSubResultant| |divideExponents| - |updatF| |cyclicParents| |e02def| |typeList| |e01daf| |getCode| - |setchildren!| |nilFactor| |lfunc| = |fortranDoubleComplex| - |cycleTail| |rightZero| |unitsColorDefault| |gcdprim| |prime| - |exponentialOrder| GF2FG |indices| 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|startTable!| |stoseInvertibleSetsqfreg| + |stoseIntegralLastSubResultant| |setRow!| |overlap| |writeLine!| |mat| + |OMputError| |gramschmidt| |tanh| |unknownEndian| |approximants| + |s18aff| |exprHasAlgebraicWeight| |imagj| |certainlySubVariety?| + |multinomial| |firstUncouplingMatrix| |nary?| |coth| |eigenvalues| + |rectangularMatrix| |setvalue!| |quadratic?| |radicalSimplify| + |setchildren!| |graphCurves| |constantIfCan| |symbolTable| |datalist| + |light| |sech| |label| |reducedContinuedFraction| |iflist2Result| + |laplace| |OMgetString| |constantToUnaryFunction| |OMgetAtp| |indices| + |solveLinear| |semiSubResultantGcdEuclidean2| |csch| + |characteristicPolynomial| |leftFactorIfCan| |OMencodingSGML| + |upperCase?| |tail| |radPoly| |reopen!| |fortranCompilerName| + |cyclic?| |host| |asinh| |f04atf| |subset?| |jordanAdmissible?| + |OMsetEncoding| |halfExtendedResultant1| |quotedOperators| |ramified?| + |redPol| |outputList| |acosh| |getOperator| |rules| |decimal| + |processTemplate| |compBound| |selectOrPolynomials| + |PollardSmallFactor| |infinite?| |partitions| |newSubProgram| + |monomials| |tanQ| |atanh| |stirling2| |queue| |var1StepsDefault| + |unknown| |point| |presuper| |conditionsForIdempotents| + |solveLinearPolynomialEquationByRecursion| |BasicMethod| |smith| + |fortranDouble| |previous| |nextNormalPoly| |acoth| + |createLowComplexityTable| |semiLastSubResultantEuclidean| |leader| + |edf2ef| |algebraicVariables| |elliptic?| |ode2| |jacobi| |open?| + |tryFunctionalDecomposition?| |asech| |factorsOfDegree| |interval| + |epilogue| |constructor| |primlimitedint| |cosh2sech| |constant?| + |oblateSpheroidal| |OMgetError| |byte| |eof?| |clipWithRanges| |pade| + |OMunhandledSymbol| |series| |fortranComplex| |OMconnectTCP| |f2df| + |parametric?| |quadraticNorm| |option| |s01eaf| |multiple| |OMclose| + |changeThreshhold| |exQuo| |monomialIntegrate| |bsolve| |coleman| ** + |solid| |LiePolyIfCan| |bindings| |applyQuote| |node?| + |singularAtInfinity?| |reseed| |indicialEquationAtInfinity| + |computeInt| |normalizeAtInfinity| |fTable| |infinityNorm| + |drawToScale| |leastMonomial| |bivariatePolynomials| |transpose| |int| + |totalGroebner| |setrest!| |cAsin| |fortranDoubleComplex| + |internalAugment| |exponentialOrder| |trigs| |fibonacci| + |wordInStrongGenerators| |leadingExponent| |lazyPquo| |npcoef| |min| + |nextsousResultant2| |taylorIfCan| |idealiserMatrix| |less?| |omError| + |rightRank| |comparison| |makeViewport2D| |scan| |Nul| |reflect| + |reorder| |univariatePolynomialsGcds| |rightTrim| |evaluateInverse| + |numerator| |constantOperator| |argument| |realZeros| + |getMultiplicationTable| |leadingCoefficientRicDE| + |uncouplingMatrices| |select!| |redPo| |leftTrim| + |setScreenResolution3D| |normal01| |ridHack1| |cSinh| |setsubMatrix!| + |cycles| |outputGeneral| |c02aff| |dequeue| |integral?| + |splitSquarefree| |mainSquareFreePart| |lieAlgebra?| |leadingSupport| + |lineColorDefault| |bracket| |generalizedContinuumHypothesisAssumed| + |iCompose| |sincos| |jacobiIdentity?| |recip| |s17adf| |df2st| |f2st| + |setMinPoints3D| |axesColorDefault| |fullPartialFraction| + |expintfldpoly| |outputAsTex| |someBasis| |elRow2!| |kind| + |linearlyDependentOverZ?| |randomLC| |max| |asinhIfCan| |aQuadratic| + |countRealRoots| |Frobenius| |setleaves!| |typeLists| |e01bhf| + |collect| |checkPrecision| |op| |myDegree| |d01akf| |expextendedint| + |subResultantGcd| |rootBound| |B1solve| |setButtonValue| + |linearPolynomials| |test| |differentialVariables| |isPlus| + |medialSet| |square?| |head| |moduleSum| |cCosh| |setfirst!| + |firstSubsetGray| |rewriteIdealWithRemainder| |integrate| + |completeEval| |shallowExpand| |readInt16!| |outputArgs| |charpol| + |writable?| |factorSFBRlcUnit| |cSin| |enterInCache| + |inverseIntegralMatrix| |s13adf| |cycleSplit!| |pattern| + |discriminant| |diagonal?| |d02gaf| |partialNumerators| |reverseLex| + |rdHack1| |ffactor| |semiResultantEuclidean1| |localIntegralBasis| + |dimensions| |eq| |palglimint0| |push| |minimumExponent| |swap!| + |headReduced?| |putGraph| |printInfo| |f04qaf| |mdeg| + |brillhartTrials| |rootSplit| |iter| |curryRight| |f01qef| |prefix| + |wordInGenerators| |alternative?| |readByte!| |union| |rightRemainder| + |prinshINFO| |partition| |eulerE| |df2mf| |rur| + |integralLastSubResultant| |printInfo!| |df2ef| |deepCopy| + |makeSeries| |LazardQuotient| |wrregime| |message| |exponential| + |getButtonValue| |bombieriNorm| |nthRoot| |stopTable!| + |createNormalPrimitivePoly| |htrigs| |parts| |bag| |homogeneous?| + |e01bgf| |lazyPrem| |universe| |separateFactors| |simplifyLog| + |overbar| |cosSinInfo| |sizePascalTriangle| |viewThetaDefault| + |ParCond| |subHeight| |symmetricTensors| |e02bdf| |subPolSet?| + |csch2sinh| |nullSpace| |aQuartic| |nextSubsetGray| |s15adf| + |sortConstraints| |groebnerFactorize| |getGraph| |e02ajf| |f02akf| + |minPoints3D| |var2Steps| |createZechTable| |absolutelyIrreducible?| + |monicRightFactorIfCan| |close| |aLinear| |OMsupportsCD?| |content| + |bitTruth| |cycle| |nextPartition| |kmax| |typeList| |f01qdf| |imagE| + |node| |hclf| |writeInt8!| |setTex!| |OMputEndBVar| |tanSum| |exp| + |insertBottom!| |printStatement| |selectSumOfSquaresRoutines| + |interpretString| |cons| |acscIfCan| |display| |OMconnOutDevice| + |generic?| |unitVector| |write!| |e04naf| |radix| |hitherPlane| + |characteristicSet| |palgint0| |entry?| |OMlistSymbols| |digamma| + |tan2trig| |selectOptimizationRoutines| |OMputInteger| + |possiblyNewVariety?| |parabolic| |associative?| |approxSqrt| + |minPoints| |exprHasLogarithmicWeights| |infiniteProduct| |e01baf| + |OMputBVar| |splitConstant| |outerProduct| |mainPrimitivePart| + |exteriorDifferential| |f04axf| |isTimes| |deref| |schema| |s19acf| + |cos2sec| |s17akf| |isAbsolutelyIrreducible?| |fill!| |toScale| + |zeroDim?| |testDim| |diagonals| |tan2cot| |ceiling| |printTypes| + |solve1| |mappingAst| |lifting| |dihedralGroup| UP2UTS |e02agf| + |outlineRender| |explimitedint| |input| |patternMatch| |idealSimplify| + |critM| |remove!| |traceMatrix| |getStream| |dequeue!| |source| + |leftLcm| |viewDefaults| |library| |f04jgf| |s17dlf| |pair?| + |hexDigit| |torsionIfCan| |divideIfCan| |setMinPoints| |polygon| + |showTheRoutinesTable| |infLex?| |elements| |droot| |mainVariable| + |cylindrical| |numberOfDivisors| |createNormalPoly| |mapBivariate| + |primes| |critBonD| |rotate| |cartesian| + |removeSuperfluousQuasiComponents| |pseudoRemainder| |OMgetApp| + |adjoint| |screenResolution| |find| |regime| |UP2ifCan| |hconcat| + |modifyPointData| |setProperty| |semiResultantEuclidean2| + |tubeRadiusDefault| |stronglyReduce| |normalDeriv| |GospersMethod| + |third| |colorFunction| |addPoint| |listBranches| |outputAsScript| + |signature| |prolateSpheroidal| |set| |outputBinaryFile| + |showArrayValues| |inspect| |lyndonIfCan| |numberOfOperations| + |makeFloatFunction| |LazardQuotient2| |stronglyReduced?| + |getPickedPoints| |target| |stoseLastSubResultant| |logical?| + |coerceListOfPairs| |sum| |times!| |lazyResidueClass| |d01alf| + |pointColorDefault| |inrootof| |resetAttributeButtons| |linearMatrix| + |ip4Address| |llprop| |pushFortranOutputStack| |ideal| |makeUnit| + |zag| |nonLinearPart| |halfExtendedSubResultantGcd2| |factorFraction| + |invertibleSet| |reduceByQuasiMonic| |resultantReduit| |complexForm| + |f04maf| |exponents| |basicSet| |makeTerm| |lex| |viewDeltaXDefault| + |clearTheIFTable| |enqueue!| |modTree| |s18adf| |distribute| |void| + |maxdeg| |OMgetEndError| |bivariate?| |stop| |setPrologue!| + |chiSquare1| |remainder| |moreAlgebraic?| |squareFreePrim| |yCoord| + |systemCommand| |squareMatrix| |balancedBinaryTree| |lighting| + |ellipticCylindrical| |stoseInvertibleSetreg| |updatF| |vspace| |lp| + |cycleTail| |polygon?| |sech2cosh| |ravel| |nlde| + |ramifiedAtInfinity?| |fortranLogical| |divergence| + |generalInfiniteProduct| |squareFreeLexTriangular| |trivialIdeal?| + |rename| |integerBound| |innerint| |reshape| |mapmult| |wreath| + |floor| |repeatUntilLoop| |zeroVector| |cAcos| |f01ref| + |RemainderList| |complement| |sinIfCan| |primitive?| |normal| + |createNormalElement| |f02agf| |readable?| |withPredicates| |mainForm| + |patternMatchTimes| |monomRDE| |numerators| |operators| |const| + |makeprod| |subresultantVector| |readUInt8!| |inRadical?| + |outputMeasure| |uniform| |constantRight| |pushucoef| |ratPoly| + |unitNormal| |optimize| |identityMatrix| |parse| |shuffle| + |OMopenFile| |addMatch| |repeating?| |univcase| |OMconnInDevice| + |subscript| GF2FG |rational| |selectfirst| |quartic| |setRealSteps| + |resultant| |restorePrecision| |closedCurve| |update| |cond| |polCase| + |antisymmetric?| |prepareSubResAlgo| |internal?| |iiasech| + |irreducibleFactor| |acotIfCan| |noncommutativeJordanAlgebra?| + |c06ekf| |true| |removeSuperfluousCases| |lfunc| |child?| + |getConstant| |flexible?| |flagFactor| |d01bbf| |OMgetBVar| + |algDsolve| |compactFraction| |push!| |minimalPolynomial| |subNode?| + |unary?| |rightUnits| |ipow| |s20acf| |Aleph| |monicDecomposeIfCan| + |sumOfSquares| |removeRedundantFactors| |intersect| |getBadValues| + |iiGamma| |one?| |isList| |revert| |semiSubResultantGcdEuclidean1| + |graphState| |clipBoolean| |changeNameToObjf| |box| |iiasinh| + |baseRDEsys| |Lazard2| |choosemon| |firstNumer| |findCycle| |ocf2ocdf| + |algintegrate| |radicalRoots| |computeBasis| |power| + |extendedIntegrate| |getIdentifier| |lowerPolynomial| |low| + |laplacian| |OMencodingXML| |tableForDiscreteLogarithm| + |nextPrimitivePoly| |truncate| |linear| |rubiksGroup| + |monicRightDivide| |curry| |rightGcd| |makeCrit| |continuedFraction| + |mvar| |computePowers| |OMputEndAttr| |fortranCarriageReturn| |c06fpf| + |OMbindTCP| |getOperands| |duplicates?| |rename!| |antiAssociative?| + |tab1| |multiplyCoefficients| |polynomial| |cAcoth| |listOfLists| + |doubleRank| |submod| |asecIfCan| |resetVariableOrder| |delete| + |delete!| |zeroDimensional?| |precision| |index| |indicialEquation| + |lifting1| |deleteProperty!| |color| |besselI| |f01bsf| |fintegrate| + |horizConcat| |rischNormalize| |OMputEndBind| |empty?| |morphism| + |interpolate| |d01gbf| |s17dgf| |arg1| |FormatRoman| + |getMultiplicationMatrix| |crushedSet| |trunc| |removeCoshSq| |expPot| + |fixPredicate| |merge!| |arg2| |OMgetEndAtp| |isMult| |super| + |transcendent?| |divideExponents| |pair| |goodPoint| |musserTrials| + |showIntensityFunctions| |writeByte!| |yellow| |expandTrigProducts| + |rightUnit| |c05pbf| |is?| |weights| |var1Steps| |showTheFTable| + |operation| |aromberg| |initiallyReduced?| |value| + |resultantEuclidean| |conditions| |topPredicate| |iiabs| |nsqfree| + |innerSolve| |rightMult| |#| |fi2df| |backOldPos| |binomial| + |selectMultiDimensionalRoutines| |match| |rootKerSimp| |OMgetEndBVar| + EQ |buildSyntax| |changeVar| |cAtanh| |ddFact| |UnVectorise| + |completeHermite| |result| |nand| |finiteBasis| |normalizedDivide| + |sup| |difference| |hostByteOrder| |graphStates| |rightRankPolynomial| + |resultantEuclideannaif| |vconcat| |copies| |setValue!| |lfintegrate| + |diagonalProduct| |power!| |exponential1| |addPoint2| |degree| + |rightNorm| |reset| |f07fef| |subCase?| |f02xef| |ODESolve| |ranges| + |cyclotomic| |f01rcf| |associatedEquations| |quadratic| + |createRandomElement| |froot| |fortranReal| + |dimensionOfIrreducibleRepresentation| |mainValue| |graphs| |iitan| + |write| |leastPower| |returnType!| |halfExtendedResultant2| + |bitLength| |toroidal| |e02aef| |inputOutputBinaryFile| + |rewriteSetByReducingWithParticularGenerators| |save| |rightPower| + |setright!| |monic?| |upperCase| |ksec| |cup| |setnext!| |arity| + |areEquivalent?| |log10| |incrementKthElement| |any| + |internalInfRittWu?| |showAll?| |minPoly| |mapUnivariate| + |leftDiscriminant| |fixedPointExquo| |bitand| |linearAssociatedLog| + |singularitiesOf| |unitNormalize| |coth2trigh| |polynomialZeros| |mix| + |solve| |polar| |uniform01| |bitior| |lllip| |tracePowMod| |zCoord| + |numeric| |generators| |coshIfCan| |getProperty| |definingPolynomial| + |lyndon| |argumentListOf| |weakBiRank| |vertConcat| |addiag| |radical| + |cscIfCan| |normInvertible?| |basisOfRightNucleus| |getMatch| + |bumptab1| |basis| |inputBinaryFile| |concat!| |getRef| |acoshIfCan| + |totalLex| |minrank| |generator| |symmetricGroup| |dec| |setClosed| + |extractBottom!| |index?| |normalise| |primintfldpoly| |s14aaf| + |isOpen?| |selectNonFiniteRoutines| |primPartElseUnitCanonical!| + |ScanArabic| |resetBadValues| |setColumn!| |makeGraphImage| + |sumOfKthPowerDivisors| |psolve| |hue| |replaceKthElement| + |rightTrace| |high| |OMgetEndAttr| |leftUnit| |plotPolar| + |complexElementary| |makeEq| |members| |exp1| + |internalSubQuasiComponent?| F2FG |numericalIntegration| + |variationOfParameters| |explicitlyFinite?| |nextSublist| + |diophantineSystem| |generalizedEigenvector| |normDeriv2| |orbits| + |isExpt| |delay| |tubeRadius| |sylvesterSequence| |nonQsign| + |skewSFunction| |dot| |every?| |acothIfCan| |blankSeparate| |empty| + |search| |f07aef| |edf2efi| |pack!| |unitCanonical| |maximumExponent| + |viewPhiDefault| |quasiRegular| |removeConstantTerm| + |showScalarValues| |iiacos| |drawComplexVectorField| |cot2trig| + |removeRedundantFactorsInPols| |noLinearFactor?| |matrix| + |quasiMonic?| |bumprow| |numer| |leftUnits| |f04asf| + |removeRoughlyRedundantFactorsInPols| |insertTop!| |powern| + |generateIrredPoly| |generalizedContinuumHypothesisAssumed?| |powers| + |inHallBasis?| |denom| |denominators| |complete| |pointSizeDefault| + |s21bdf| |dominantTerm| |roman| |leftRank| |commutative?| + |numberOfMonomials| |signAround| |setOfMinN| |reindex| |cAsech| + |c06eaf| |any?| Y |bezoutDiscriminant| |nthExpon| |roughSubIdeal?| + |pi| |qroot| |cfirst| |toseInvertible?| |definingEquations| |leaf?| + |nullary?| |operations| |infinity| |clikeUniv| |ricDsolve| + |numberOfCycles| |constantLeft| |linears| |categories| |prologue| + |e01daf| |messagePrint| |elementary| |stopTableInvSet!| |readLine!| + |shiftRight| |leftNorm| |largest| |shift| |negative?| |evenlambert| + |part?| |length| F ~= |nodeOf?| |setprevious!| |euclideanGroebner| + |UpTriBddDenomInv| |intChoose| |d01apf| |splitLinear| |pdf2df| + |denomRicDE| |scripts| |rootNormalize| |coerce| |checkForZero| + |realElementary| |numberOfFactors| |kernel| |tableau| |sample| + |lfextlimint| |Lazard| |acschIfCan| |construct| |se2rfi| |draw| + |ldf2lst| |hasSolution?| |exprToGenUPS| |nthFractionalTerm| + |pointLists| |null| |pow| |c02agf| |getExplanations| |nextItem| + |e01saf| |dimensionsOf| |monomRDEsys| |midpoint| |noKaratsuba| |not| + |ref| |normFactors| |tanNa| |null?| |summation| |mainVariables| |cTan| + |symmetric?| |rk4| |and| |antiCommutator| |s17dhf| |setEmpty!| + |parent| |kroneckerDelta| |showSummary| |stoseInvertible?| + |symbolTableOf| |LowTriBddDenomInv| |cyclicEqual?| |or| + |cyclicEntries| |vark| |printingInfo?| |makeMulti| |factorial| + |parabolicCylindrical| |Si| |failed?| |imagK| |xor| |mergeFactors| + |extractTop!| |f02wef| |logpart| |obj| |cyclotomicFactorization| + |powerAssociative?| |showAttributes| |geometric| |minset| + |evenInfiniteProduct| |case| |Is| |linearAssociatedExp| |removeSinhSq| + |e01sbf| |d02bbf| |lhs| |polyRicDE| |cache| |assign| |expandLog| + |selectsecond| |Zero| |name| |mapdiv| |An| |infRittWu?| + |squareFreePart| |rhs| |primextintfrac| |normalizeIfCan| + |rightFactorIfCan| |direction| |sh| |One| |body| |iicsc| + |setEpilogue!| |move| |heapSort| |definingInequation| + |primitiveElement| |internalSubPolSet?| |partialDenominators| + |primextendedint| |listRepresentation| |capacity| |f04mcf| |spherical| + |equality| |d01anf| |karatsubaDivide| |reify| + |leftRegularRepresentation| |genericLeftTrace| + |numberOfFractionalTerms| |readLineIfCan!| |distdfact| |rightOne| + |rotatey| |d02cjf| |getCode| |e02dcf| |OMmakeConn| |harmonic| + |vectorise| |createLowComplexityNormalBasis| |expenseOfEvaluationIF| + |safeCeiling| |lepol| |selectPDERoutines| |OMgetBind| |sort| + |setStatus| |lazyPseudoRemainder| |userOrdered?| |complexIntegrate| + |setelt| |coerceImages| |rightExactQuotient| + |primPartElseUnitCanonical| |conditionP| |gderiv| |tanIfCan| + |chebyshevT| |cycleEntry| |basisOfCentroid| |loopPoints| + |balancedFactorisation| |satisfy?| |rightRegularRepresentation| + |alternatingGroup| |port| |insertionSort!| + |stoseInternalLastSubResultant| |taylorRep| |leftRankPolynomial| + |lazyGintegrate| |maxint| |eyeDistance| |setErrorBound| |predicates| + |complexEigenvalues| |lowerCase| |setlast!| |allRootsOf| + |multiEuclidean| |rowEchLocal| |tablePow| |perfectNthRoot| + |padicallyExpand| |random| |t| |quickSort| |exquo| + |basisOfRightNucloid| |stFunc2| |decreasePrecision| |error| |measure| + |mkAnswer| |maxPoints| |makeCos| |nextsubResultant2| |div| + |symmetricDifference| |bezoutMatrix| |LyndonWordsList1| |f02ajf| + |assert| |primitivePart!| |position!| |unit?| |rightScalarTimes!| + |numberOfVariables| |divideIfCan!| |quo| |cAcsc| |c06gqf| |iExquo| + |declare| |fillPascalTriangle| |output| |doubleResultant| + |approxNthRoot| |elliptic| |f02axf| |startStats!| |eq?| + |rightCharacteristicPolynomial| |numericIfCan| |OMputApp| + |useEisensteinCriterion?| |radicalSolve| |scalarTypeOf| + |mainMonomials| |copy!| |rem| |s13aaf| |quasiComponent| |increment| + |intermediateResultsIF| |front| |bubbleSort!| |rootsOf| |alternating| + |makingStats?| |biRank| |collectQuasiMonic| |real?| |raisePolynomial| + |realRoots| |genericRightMinimalPolynomial| |inGroundField?| |point?| + |qelt| |clipParametric| |iiacsch| |commaSeparate| |generalPosition| + |call| |leviCivitaSymbol| |s21bbf| |qsetelt| |cyclePartition| |top!| + |lflimitedint| |bipolar| |size?| |recur| |iiexp| |curveColor| + |splitDenominator| |safeFloor| |sinh2csch| |e02ahf| |xRange| + |increasePrecision| |nextPrime| |shallowCopy| |padicFraction| + |rootPoly| |iisec| |s14baf| |solveLinearPolynomialEquation| + |tensorProduct| |yRange| |setFieldInfo| |rootPower| |swap| |rischDE| + |next| |mapExponents| |factorOfDegree| |purelyAlgebraic?| |algebraic?| + |clipPointsDefault| |zRange| |ode| |exprToXXP| |contains?| |iiasin| + |sorted?| |zeroSetSplit| |critMonD1| |map!| |mathieu12| |nthr| + |divisor| |startPolynomial| |character?| |c06gbf| |qsetelt!| |sort!| + |terms| |secIfCan| |stripCommentsAndBlanks| |zeroDimPrimary?| + |expenseOfEvaluation| |maxPoints3D| |s15aef| |li| |ScanRoman| + |characteristicSerie| |makeop| |overlabel| |back| |iibinom| |lagrange| + |sPol| |factorSquareFreePolynomial| |latex| |mathieu24| |logIfCan| + |functionIsFracPolynomial?| |fracPart| |in?| |multMonom| |packageCall| + |entries| |simpleBounds?| |trigs2explogs| |nextNormalPrimitivePoly| + |e02adf| |rightRecip| |leaves| |oneDimensionalArray| + |stoseInvertible?reg| |gcdPrimitive| |mainContent| |linear?| |zeroOf| + |yCoordinates| |float?| |iilog| |e02zaf| |acsch| BY + |subResultantChain| |generalLambert| |setPosition| |explogs2trigs| + |elRow1!| |primitivePart| |nullary| |pToDmp| |reducedSystem| |e04ucf| + |integralMatrixAtInfinity| |numberOfNormalPoly| |children| |powerSum| + |char| |getGoodPrime| |isEquiv| |perfectNthPower?| |monomialIntPoly| + |pureLex| |newReduc| |rootRadius| |updatD| |extendedint| + |showTheSymbolTable| |makeViewport3D| |plusInfinity| |initials| + |f02aaf| |closeComponent| |f04arf| |setScreenResolution| + |initiallyReduce| |pointColor| |iicoth| |minusInfinity| |complexZeros| + |lo| |integralMatrix| |aspFilename| |usingTable?| |shellSort| + |headReduce| |tryFunctionalDecomposition| |var2StepsDefault| |cot2tan| + |shade| |normalElement| |reduction| |stiffnessAndStabilityFactor| + |updateStatus!| |linearDependenceOverZ| |imagi| |incr| |transform| + |moebius| NOT |mainExpression| |float| |binomThmExpt| |nthRootIfCan| + |coerceS| |viewPosDefault| |mesh?| |isAnd| |hi| |s17ajf| |coth2tanh| + OR |OMputAtp| |alphanumeric| |rightZero| |setleft!| |pointPlot| + |permutationGroup| |iroot| |rst| |arguments| |showRegion| AND + |removeDuplicates!| |tubePlot| |idealiser| |dioSolve| |type| |polyRDE| + |subtractIfCan| |fortranInteger| |nthExponent| |appendPoint| |mask| + |cycleRagits| |fractRagits| |resolve| |associator| |distance| + |ignore?| |isNot| |expIfCan| |flatten| |matrixConcat3D| |subNodeOf?| + |BumInSepFFE| |read!| |readBytes!| |extractIndex| |constDsolve| + |condition| |accuracyIF| |varselect| |palginfieldint| |factorials| + |leftCharacteristicPolynomial| |complex?| |infieldIntegrate| + |branchPointAtInfinity?| |discriminantEuclidean| |graeffe| |s21baf| + |outputFixed| |superHeight| |safetyMargin| |seriesToOutputForm| + |normalize| |poisson| |outputSpacing| |mathieu22| |parseString| + |companionBlocks| |hex| |removeZero| |cardinality| |dmp2rfi| |green| + |identity| |subResultantsChain| |primeFactor| + |genericLeftDiscriminant| |expintegrate| |c05adf| GE |cAcsch| |f02adf| + |alphanumeric?| |OMputSymbol| |iisin| |leftRecip| |hcrf| |integers| + |structuralConstants| |cyclicParents| |number?| GT |comment| + |leftExtendedGcd| |iipow| |setFormula!| |neglist| |connect| |exprex| + |scripted?| |thenBranch| |sin2csc| LE |zeroDimPrime?| |isTerm| + |leftScalarTimes!| |OMputObject| |eulerPhi| |e01bff| |forLoop| + |e02def| |double?| |equiv| |fortranLinkerArgs| * LT |primlimintfrac| + |exactQuotient| |dflist| |rationalIfCan| |zeroSquareMatrix| + |monomial?| |setPredicates| |laguerreL| |indiceSubResultantEuclidean| + |symmetricRemainder| |normalDenom| |jacobian| |center| |rroot| + |euclideanSize| |factorsOfCyclicGroupSize| |totalfract| |e04dgf| + |exptMod| |atanhIfCan| |recoverAfterFail| |factorGroebnerBasis| + |torsion?| |cCsch| |laurentIfCan| |notelem| |wholePart| + |OMgetEndObject| |pile| |vedf2vef| |leftMult| |minus!| + |symmetricProduct| |selectIntegrationRoutines| = + |numberOfComputedEntries| |curryLeft| |setAttributeButtonStep| + |cothIfCan| |central?| |graphImage| |alphabetic?| |endSubProgram| + |f02aff| |randomR| |cyclotomicDecomposition| |bottom!| |inconsistent?| + |deleteRoutine!| |setVariableOrder| |lexTriangular| |setelt!| + |bandedHessian| |ScanFloatIgnoreSpaces| |bumptab| < |fortran| + |OMgetInteger| |semiResultantEuclideannaif| |bits| |minordet| + |principal?| |deriv| |scaleRoots| |triangulate| |extendedEuclidean| + |sub| > |dmpToP| |multiplyExponents| |mkcomm| |quadraticForm| + |relerror| |selectODEIVPRoutines| |iidprod| |cyclicSubmodule| + |regularRepresentation| |factorSquareFreeByRecursion| <= |pomopo!| + |compose| |curveColorPalette| |normalizedAssociate| |algebraicOf| + |compile| |internalLastSubResultant| |bytes| |trapezoidalo| |f02awf| + |nil?| >= |coefChoose| |property| |permutationRepresentation| + |bernoulli| |radicalEigenvalues| |retract| |zerosOf| |algebraicSort| + |branchIfCan| |nthCoef| |pmComplexintegrate| |hasTopPredicate?| + |insert!| |repSq| |multiset| |bfKeys| |bounds| |makeSin| + |fixedDivisor| |polyPart| |integralAtInfinity?| |qfactor| + |useEisensteinCriterion| |supRittWu?| |d01fcf| |bernoulliB| |s19abf| + |expandPower| |internalIntegrate0| |e02ddf| |e01sff| |sumOfDivisors| + |sinhcosh| |ratpart| |list?| + |binaryTree| |leadingTerm| |frobenius| + |maxRowIndex| |units| |squareFreePolynomial| |lprop| |moebiusMu| + |lazyVariations| |invertibleElseSplit?| |createPrimitivePoly| + |quoByVar| - |e02akf| |mindegTerm| |btwFact| |purelyTranscendental?| + |create| |sechIfCan| |cCsc| |axes| |genericRightTraceForm| |airyAi| / + |hexDigit?| |atoms| |conical| |iicot| |exponent| |bright| |lllp| + |powmod| |polyred| |expint| |toseInvertibleSet| |sin?| |e04gcf| + |transcendenceDegree| |atanIfCan| |top| |bit?| |s17def| + |prepareDecompose| |fmecg| |leastAffineMultiple| |nthFlag| |janko2| + |child| |findConstructor| |showTheIFTable| |iiacsc| |code| |factor1| + |printStats!| |OMreadStr| |badNum| |inverse| |key| + |nextPrimitiveNormalPoly| |reverse| |plus| |function| |leftFactor| + |fractionPart| |list| |rewriteSetWithReduction| |unit| |f01maf| + |modularFactor| |argscript| |factorAndSplit| |s13acf| |increase| |nor| + |positive?| |f04mbf| |car| |numericalOptimization| |binaryTournament| + |rk4qc| |coordinate| |member?| |filename| |readIfCan!| |abelianGroup| + |curve| |eval| |OMUnknownCD?| |cdr| |mr| |composite| |row| + |toseSquareFreePart| |credPol| |palgLODE| |lfextendedint| |scale| + |mainKernel| |rationalPoint?| |symmetricSquare| |setDifference| + |explicitEntries?| |categoryFrame| |createMultiplicationMatrix| |blue| + |listYoungTableaus| |linearlyDependent?| |stoseInvertible?sqfreg| + |setIntersection| |times| |e02bbf| |ReduceOrder| |f02bjf| |s19adf| + |lazy?| |initial| |pushdown| |sizeMultiplication| |factorSquareFree| + |youngGroup| |monicCompleteDecompose| |iiasec| |critT| + |quasiAlgebraicSet| |palgintegrate| |setUnion| |trailingCoefficient| + |saturate| |script| |ord| |qPot| |supersub| |middle| |digit?| |lookup| + |completeEchelonBasis| |changeWeightLevel| |apply| |fixedPoints| + |f07fdf| |c06fuf| |inf| |factors| |minPol| |directSum| + |algSplitSimple| |leftGcd| |lastSubResultant| |decompose| + |lazyPseudoDivide| |clearTheFTable| |constantKernel| |doubleComplex?| + |before?| |beauzamyBound| |monom| |divisors| |sequences| |lexGroebner| + |size| |polarCoordinates| |vector| |tex| |nthFactor| |returns| + |internalDecompose| |prindINFO| |rewriteIdealWithQuasiMonicGenerators| + |rule| |swapRows!| |quote| |orbit| |rational?| |differentiate| + |doublyTransitive?| |prime?| |intPatternMatch| |LyndonBasis| |mkPrim| + |superscript| |plot| |airyBi| |generalizedInverse| + |numberOfComposites| |characteristic| |redpps| |isImplies| |arbitrary| + |LiePoly| |basisOfLeftNucloid| |setLength!| |common| |cExp| |title| + |mathieu23| |first| |mapExpon| |e02dff| |plenaryPower| |paren| + |halfExtendedSubResultantGcd1| |optpair| |lcm| |compound?| |unmakeSUP| + |imagk| |besselK| |rest| |bigEndian| |shiftRoots| + |initializeGroupForWordProblem| |s20adf| |oddInfiniteProduct| + |lazyPseudoQuotient| |expr| |nonSingularModel| |pol| |meshPar2Var| + |substitute| |leftExactQuotient| |domainOf| |paraboloidal| + |setImagSteps| |subspace| FG2F |phiCoord| |removeDuplicates| |e| + |append| |semiDegreeSubResultantEuclidean| + |removeRoughlyRedundantFactorsInContents| |c06gsf| |getDatabase| + |rootSimp| |d01gaf| |failed| |seriesSolve| |lazyEvaluate| |anticoord| + |coerceL| |gcd| |shrinkable| |numberOfChildren| |leftTrace| |presub| + |defineProperty| |unaryFunction| |rightExtendedGcd| |component| + |clipSurface| |false| |twist| |solveRetract| |rationalApproximation| + |coHeight| |edf2fi| |factorByRecursion| |LagrangeInterpolation| + |replace| |cubic| |variable| |range| |minimize| |nodes| |groebgen| + |nothing| |cosIfCan| |quasiRegular?| |iterators| |PDESolve| + |inverseColeman| |substring?| |startTableGcd!| |unvectorise| + |physicalLength!| |selectFiniteRoutines| |wholeRagits| |simplify| + |countable?| |isPower| |HenselLift| |removeSinSq| |mathieu11| + |setOrder| |gensym| |d02raf| |modularGcd| LODO2FUN |extension| + |extend| |suffix?| |karatsuba| |quoted?| |weighted| |collectUpper| + |separate| |reduceLODE| |string?| |hdmpToP| |unparse| |tanintegrate| + |pascalTriangle| |extractClosed| |composites| |rightFactorCandidate| + |atom?| |perfectSquare?| |LyndonCoordinates| |bipolarCylindrical| + |prefix?| |listLoops| |readInt8!| |conjugates| |enterPointData| + |plus!| |rotate!| |s17aef| |purelyAlgebraicLeadingMonomial?| + |mainCoefficients| |width| |exactQuotient!| |ratDsolve| |OMputEndAtp| + |invmultisect| |sts2stst| |denomLODE| |OMread| |critB| + |bandedJacobian| |hasPredicate?| |basisOfCenter| |binarySearchTree| + |sn| |genericRightDiscriminant| |midpoints| |convergents| |odd?| + |tValues| |chiSquare| |properties| |f01rdf| + |exprHasWeightCosWXorSinWX| |freeOf?| |iidsum| |useSingleFactorBound| + |continue| |adaptive3D?| |mirror| |OMcloseConn| |translate| + |limitedIntegrate| |zeroMatrix| |listOfMonoms| |isConnected?| + |complexEigenvectors| |interReduce| |integralBasisAtInfinity| |Beta| + |tree| |sqfree| |leftDivide| |resetNew| |numberOfImproperPartitions| + |printHeader| |ruleset| |sign| |rationalFunction| |separateDegrees| + |numberOfIrreduciblePoly| |overset?| |infix?| |hdmpToDmp| |pole?| + |escape| |shiftLeft| |complexNumericIfCan| |tanh2trigh| |external?| + |closed?| |stosePrepareSubResAlgo| |irreducible?| |depth| + |createMultiplicationTable| |rightTraceMatrix| |useNagFunctions| + |prefixRagits| |rangeIsFinite| |euclideanNormalForm| |pseudoDivide| + |eigenvectors| |extractIfCan| |mapUnivariateIfCan| |cSech| |ptFunc| + |optional| |palglimint| |suchThat| |mesh| |gcdcofact| |whatInfinity| + |univariateSolve| |shanksDiscLogAlgorithm| |hostPlatform| + |strongGenerators| |birth| |brillhartIrreducible?| |linearDependence| + |postfix| |curve?| |symbolIfCan| |adaptive| |OMencodingBinary| |expt| + |split!| |movedPoints| |expressIdealMember| |OMgetVariable| |solid?| + |coord| |bezoutResultant| |lexico| |mapDown!| |euler| |clearCache| + |palgLODE0| |Gamma| |dualSignature| |contract| |interpret| + |clearTheSymbolTable| |stack| |module| |s18dcf| |cycleLength| + |viewport2D| |maxrow| |stFuncN| |integralCoordinates| |Vectorise| + |pseudoQuotient| |numberOfHues| |trapezoidal| |basisOfLeftAnnihilator| + |groebner?| |gbasis| RF2UTS |ode1| |highCommonTerms| |ParCondList| + |arrayStack| |tower| |belong?| |createGenericMatrix| + |leftMinimalPolynomial| |generate| |gradient| |flexibleArray| + |signatureAst| |RittWuCompare| |unexpand| ~ |cSec| |trim| + |patternVariable| |oddintegers| SEGMENT |lowerCase?| |retractable?| + |df2fi| |directory| |generic| |irreducibleRepresentation| |log| + |incrementBy| |OMsend| |twoFactor| |dim| |invmod| |tab| + |getVariableOrder| |genericRightNorm| |refine| |mergeDifference| + |upperCase!| |open| |lfinfieldint| |integerIfCan| |Ci| |d02ejf| + |expand| |equation| |getZechTable| |gcdcofactprim| |routines| + |commutativeEquality| |s18acf| |byteBuffer| |f01brf| |solveInField| + |discreteLog| |filterWhile| |solveLinearPolynomialEquationByFractions| + |modularGcdPrimitive| |iisqrt3| |localAbs| |simplifyPower| |pushup| + |chvar| |iisinh| |symmetricPower| |complexNumeric| + |listConjugateBases| |filterUntil| |currentCategoryFrame| |iicsch| + |cschIfCan| |minRowIndex| |block| |antiCommutative?| |sparsityIF| + |ldf2vmf| |colorDef| |select| |pdct| |associatedSystem| |splitNodeOf!| + |branchPoint?| |crest| |triangular?| |denominator| |kernels| + |makeResult| |sinhIfCan| |basisOfLeftNucleus| |hermite| |endOfFile?| + |integralBasis| |goodnessOfFit| |repeating| |setProperties!| |diag| + |cCoth| |univariate| |intensity| |partialFraction| + |degreeSubResultantEuclidean| |scopes| |monicDivide| |leftRemainder| + |squareFree| |SturmHabichtCoefficients| |determinant| |concat| + |decrease| |squareTop| |mantissa| |romberg| |subTriSet?| |whitePoint| + |hermiteH| |dn| |extractProperty| |basisOfRightAnnihilator| |quotient| + |derivative| |singular?| |sylvesterMatrix| |e02bcf| |addmod| + |extract!| |genericLeftMinimalPolynomial| |nil| |parametersOf| + |OMputEndApp| |subQuasiComponent?| |measure2Result| |conjug| |factor| + |trace2PowMod| |split| |irreducibleFactors| |rdregime| |xn| |e02bef| + |whileLoop| |f04adf| |mapMatrixIfCan| |OMgetEndBind| |sqrt| + |scanOneDimSubspaces| |makeRecord| |nullity| |quatern| |c06ebf| + |pmintegrate| |removeRedundantFactorsInContents| |selectPolynomials| + |status| |taylorQuoByVar| |factorset| |symFunc| |selectAndPolynomials| + |normalForm| |real| |second| |linkToFortran| |iterationVar| |option?| + |cotIfCan| |ratDenom| |associates?| |ef2edf| |linearAssociatedOrder| + |prem| |approximate| |clearFortranOutputStack| |e04ycf| + |nativeModuleExtension| |imag| |minGbasis| |autoReduced?| + |permutations| |complex| |orthonormalBasis| |univariatePolynomials| + |weierstrass| |limit| UTS2UP |directProduct| |matrixDimensions| + |c06frf| |merge| |lquo| |padecf| |binaryFunction| |makeSketch| + |s18def| |objectOf| |more?| |OMserve| |csc2sin| + |radicalOfLeftTraceForm| |fortranTypeOf| |subResultantGcdEuclidean| + |iiacosh| |iFTable| |f02bbf| |nextLatticePermutation| + |leftTraceMatrix| |addBadValue| |applyRules| |brace| |removeCosSq| + |constantOpIfCan| |bothWays| |radicalEigenvector| |genericLeftNorm| + |meshPar1Var| |cAsec| |octon| |OMUnknownSymbol?| |badValues| |solveid| + |sturmVariationsOf| |destruct| |diagonal| |check| |currentScope| + |indiceSubResultant| |trueEqual| |cAsinh| |complementaryBasis| |pop!| + |pr2dmp| |componentUpperBound| |commonDenominator| |setLabelValue| + |contractSolve| |chainSubResultants| |bat| |digit| |s17acf| + |littleEndian| |setTopPredicate| |lintgcd| |remove| |c06gcf| + |legendreP| |drawComplex| |exprToUPS| |roughUnitIdeal?| |inc| + |screenResolution3D| |rootOf| |zero?| |s14abf| |cross| |compdegd| + |csubst| |getlo| |opeval| |setref| |findBinding| |showAllElements| + |extendIfCan| |iomode| |univariate?| |last| |rowEch| |d03edf| + |monomial| |sayLength| |rightAlternative?| |sizeLess?| |entry| + |principalAncestors| |resultantReduitEuclidean| |iteratedInitials| + |groebnerIdeal| |multisect| |assoc| |palgextint| |setPoly| + |multivariate| |setAdaptive| |qqq| |mapUp!| |cycleElt| |norm| + |diagonalMatrix| |bfEntry| |resultantnaif| |prinb| |variables| + |Hausdorff| |dictionary| |invertIfCan| |insertRoot!| |delta| + |leftPower| |e04jaf| |OMputVariable| |derivationCoordinates| + |contours| |mkIntegral| |calcRanges| |d02kef| |e01bef| |socf2socdf| + |round| |showTypeInOutput| |OMgetEndApp| |leftZero| |OMgetFloat| + |createPrimitiveNormalPoly| |corrPoly| |primaryDecomp| |minimumDegree| + |log2| |seed| |cPower| |components| |besselY| |upDateBranches| |cn| + |d02bhf| |ScanFloatIgnoreSpacesIfCan| |fortranLiteral| |prime| + |readInt32!| |category| |traverse| |binding| |pleskenSplit| |s21bcf| + |supDimElseRittWu?| |ran| |frst| |permutation| |e02baf| |maxIndex| + |domain| |acosIfCan| |realEigenvalues| |asinIfCan| |pToHdmp| + |makeYoungTableau| |weight| |fglmIfCan| |taylor| |hyperelliptic| + |OMgetObject| |space| |package| |create3Space| + |combineFeatureCompatibility| |OMencodingUnknown| |iisech| + |infieldint| |edf2df| |infix| |show| |mapSolve| |laurent| |hasoln| + |copy| |integer?| |innerEigenvectors| |abs| |tanAn| + |rangePascalTriangle| |setMaxPoints3D| |toseLastSubResultant| |aCubic| + |puiseux| |copyInto!| |points| |deepExpand| |lambda| |f01mcf| + |leadingIdeal| |OMgetAttr| |s17ahf| |order| |trace| |ListOfTerms| + |decomposeFunc| |iicosh| |simplifyExp| |relationsIdeal| |optional?| + |roughBasicSet| |getMeasure| |realEigenvectors| |OMputFloat| + |setLegalFortranSourceExtensions| |palgRDE0| + |rewriteIdealWithHeadRemainder| |inv| |reduced?| |autoCoerce| |cAcosh| + |subresultantSequence| |SFunction| |zoom| |mainCharacterization| + |radicalEigenvectors| |ground?| |cCot| |triangularSystems| |qinterval| + |cyclicCopy| |e04mbf| |parents| |magnitude| |tubePoints| + |indicialEquations| |countRealRootsMultiple| |viewZoomDefault| + |nilFactor| |ground| |leadingIndex| |fractionFreeGauss!| |e04fdf| + |showClipRegion| |simpson| |OMgetType| |redmat| |iiacoth| |sec2cos| + |gcdprim| |OMopenString| |leadingMonomial| |setProperties| |gethi| + |numFunEvals3D| |showFortranOutputStack| |setMaxPoints| + |stopMusserTrials| |algint| |viewWriteDefault| |position| |red| |pquo| + |leadingCoefficient| |isOp| |enumerate| |root| |s17agf| |match?| + |root?| |controlPanel| |leftAlternative?| |rquo| + |associatorDependence| |e01sef| |primitiveMonomials| |invertible?| + |legendre| |hash| |iitanh| |numberOfComponents| |collectUnder| + |KrullNumber| |inR?| |karatsubaOnce| |count| |chebyshevU| |subSet| + |reductum| |f02fjf| |over| |scalarMatrix| |say| |product| + |argumentList!| |viewDeltaYDefault| |firstDenom| |changeMeasure| + |outputFloating| |SturmHabicht| |linearPart| |unitsColorDefault| + |OMputBind| |reducedDiscriminant| |c06fqf| |lowerCase!| |makeVariable| + |goto| |anfactor| |digits| |chineseRemainder| |cyclicGroup| + |problemPoints| |coercePreimagesImages| |limitPlus| |dimension| + |createIrreduciblePoly| |palgextint0| |critpOrder| |e02daf| + |addPointLast| |evaluate| |debug| |multiple?| + |inverseIntegralMatrixAtInfinity| |semiDiscriminantEuclidean| + |monicModulo| |algebraicDecompose| |cAcot| |fractRadix| |meatAxe| + |moduloP| D |OMreceive| |randnum| |rotatex| |viewport3D| + |knownInfBasis| |mpsode| |reverse!| |column| |imaginary| |checkRur| + |externalList| |zeroSetSplitIntoTriangularSystems| |normalized?| + |viewSizeDefault| |jordanAlgebra?| |primintegrate| |sdf2lst| |divide| + |diff| |returnTypeOf| |imports| |writeBytes!| |schwerpunkt| + |nextColeman| |completeHensel| |identification| |iicos| + |validExponential| |lastSubResultantEuclidean| |generalTwoFactor| + |partialQuotients| |debug3D| |specialTrigs| |rk4a| |complexRoots| + |init| |rightQuotient| |maxColIndex| |topFortranOutputStack| |cyclic| + |cap| |OMputAttr| |changeBase| |lastSubResultantElseSplit| |heap| + |d01asf| |clearDenominator| |positiveSolve| |d01amf| |systemSizeIF| + |tanh2coth| |callForm?| |imagJ| |swapColumns!| |factorPolynomial| + |totalDegree| |keys| |integralRepresents| |double| |simpsono| + |reducedQPowers| |thetaCoord| |dihedral| + |semiResultantReduitEuclidean| |solveLinearlyOverQ| + |SturmHabichtSequence| |genericPosition| |d01ajf| |s18aef| |zero| + |complexSolve| |elColumn2!| |charthRoot| |interactiveEnv| |augment| + |printCode| |boundOfCauchy| |bivariateSLPEBR| |tRange| + |nextIrreduciblePoly| |singRicDE| |removeZeroes| |hMonic| |distFact| + |print| |constant| |fortranLiteralLine| |meshFun2Var| |drawCurves| + |standardBasisOfCyclicSubmodule| |And| |readUInt16!| |s17dcf| |cLog| + |perfectSqrt| |possiblyInfinite?| |laurentRep| |getCurve| |Or| + |iiperm| |factorList| |headRemainder| + |semiIndiceSubResultantEuclidean| |stFunc1| |modifyPoint| + |getProperties| |doubleDisc| |realSolve| |Not| |d03faf| + |lazyIrreducibleFactors| |mapCoef| |represents| + |algebraicCoefficients?| |alphabetic| |primeFrobenius| |innerSolve1| + |OMsupportsSymbol?| |constantCoefficientRicDE| |OMgetSymbol| |level| + |exists?| |optAttributes| |elem?| |declare!| |integral| + |exportedOperators| |just| |/\\| |removeSquaresIfCan| |c06ecf| + |kovacic| |tanhIfCan| |coefficient| |setProperty!| |elseBranch| + |binary| |\\/| |rowEchelonLocal| |s19aaf| |f02abf| + |mainDefiningPolynomial| |predicate| |rationalPower| |prod| + |adaptive?| |genus| |f01qcf| |rationalPoints| |operator| |symbol?| + |genericLeftTraceForm| |slex| |iiatan| |pointColorPalette| |qualifier| + |modulus| |deepestTail| |id| |relativeApprox| |normal?| + |identitySquareMatrix| |HermiteIntegrate| |genericRightTrace| |has?| + |FormatArabic| |palgRDE| |groebner| |bitCoef| |OMlistCDs| |shufflein| + |errorInfo| |charClass| |even?| |rarrow| |deepestInitial| |table| + |drawStyle| |stirling1| |changeName| |cTanh| |mainVariable?| + |reducedForm| |rotatez| |positiveRemainder| |insert| + |startTableInvSet!| |extractPoint| |new| |wronskianMatrix| + |prinpolINFO| |asimpson| |OMwrite| |segment| |variable?| |clip| + |unrankImproperPartitions0| |e02gaf| |setAdaptive3D| |key?| |varList| + |unravel| |iiatanh| |pointData| |principalIdeal| |addMatchRestricted| + |asechIfCan| |options| |coordinates| |initTable!| |totolex| + |sumSquares| |OMParseError?| |resize| |rombergo| |rootProduct| + |iisqrt2| |figureUnits| |leftQuotient| |localUnquote| |close!| + |parameters| |tubePointsDefault| |rootOfIrreduciblePoly| |errorKind| + |d03eef| |antisymmetricTensors| |cRationalPower| + |extractSplittingLeaf| |build| |localReal?| |putColorInfo| |laguerre| + |reciprocalPolynomial| |extendedResultant| |hspace| |string| + |functionIsOscillatory| |finiteBound| |cCos| |fixedPoint| + |newTypeLists| |headAst| |integralDerivationMatrix| |lyndon?| |mindeg| + |mightHaveRoots| |extensionDegree| |degreePartition| + |semicolonSeparate| |basisOfMiddleNucleus| |minIndex| |isobaric?| + |subMatrix| |permanent| |surface| |outputForm| |eigenMatrix| + |retractIfCan| |physicalLength| |mapGen| |sqfrFactor| |slash| + |numFunEvals| |computeCycleLength| |iifact| |testModulus| + |degreeSubResultant| |univariatePolynomial| |groebSolve| |makeFR| + |commutator| |isOr| |roughEqualIdeals?| |totalDifferential| |tube| + |fullDisplay| |stoseInvertibleSet| |critMTonD1| |erf| |ptree| + |unprotectedRemoveRedundantFactors| |xCoord| |setStatus!| |leftOne| + |recolor| |Ei| |extendedSubResultantGcd| |pushdterm| + |loadNativeModule| |getSyntaxFormsFromFile| |left| |inverseLaplace| + |LyndonWordsList| |complexExpand| |currentSubProgram| |minColIndex| + |logGamma| |lSpaceBasis| |linSolve| |OMputEndObject| |right| + |preprocess| |hessian| |c05nbf| |wordsForStrongGenerators| + |OMputEndError| |bat1| |writeUInt8!| |unrankImproperPartitions1| + |probablyZeroDim?| |pushNewContour| |generalSqFr| |dilog| |makeSUP| + |matrixGcd| |baseRDE| |OMreadFile| |insertMatch| |rank| + |completeSmith| |region| |virtualDegree| |SturmHabichtMultiple| + |lieAdmissible?| |coerceP| |sin| |listexp| |setCondition!| |dfRange| + |untab| |maxrank| |rCoord| |multiEuclideanTree| |linGenPos| |comp| + |isQuotient| |pastel| |cos| |pushuconst| |getOrder| |limitedint| + |stiffnessAndStabilityOfODEIF| |makeObject| |createPrimitiveElement| + |f02aef| |f07adf| |setClipValue| |map| |besselJ| |tan| |dark| + |implies| |explicitlyEmpty?| |rowEchelon| |intcompBasis| |rightDivide| + |generalizedEigenvectors| |compiledFunction| |currentEnv| |cot| + |oddlambert| |dAndcExp| |rischDEsys| |subst| |d01aqf| |triangSolve| + |coef| |readUInt32!| |atrapezoidal| |consnewpol| |mainMonomial| + |leadingBasisTerm| |sec| |bringDown| |internalIntegrate| |henselFact| + |OMputString| |complexLimit| |OMReadError?| |prevPrime| + |rootDirectory| |closedCurve?| |csc| |computeCycleEntry| + |fortranCharacter| |iprint| |monicLeftDivide| |separant| |rightLcm| + |rightMinimalPolynomial| |roughBase?| |height| |squareFreeFactors| + |asin| |wholeRadix| |clearTable!| |subscriptedVariables| |dmpToHdmp| + |particularSolution| |lists| |stoseSquareFreePart| + |transcendentalDecompose| |lambert| |convert| |conjugate| |acos| + |createThreeSpace| |perspective| |dom| |hypergeometric0F1| |newLine| + |sequence| |style| |sncndn| |representationType| |symbol| |formula| + |useSingleFactorBound?| |atan| |divisorCascade| + |removeRoughlyRedundantFactorsInPol| |rightDiscriminant| |mulmod| + |duplicates| |finite?| |removeIrreducibleRedundantFactors| |s17aff| + |expression| |po| |acot| |functionIsContinuousAtEndPoints| |imagI| + |f04faf| |objects| |att2Result| |connectTo| |doubleFloatFormat| + |lazyIntegrate| |elt| |element?| |integer| |lazyPremWithDefault| + |asec| |singleFactorBound| |hasHi| |reduceBasisAtInfinity| |base| + |sturmSequence| |basisOfCommutingElements| |fprindINFO| |d02gbf| + |polygamma| |basisOfNucleus| |quasiMonicPolynomials| |acsc| |lift| + |viewWriteAvailable| |gcdPolynomial| |eisensteinIrreducible?| |rk4f| + |coefficients| |numberOfPrimitivePoly| |complexNormalize| |nrows| + |nil| |infinite| |arbitraryExponent| |approximate| |complex| |shallowMutable| |canonical| |noetherian| |central| |partiallyOrderedSet| |arbitraryPrecision| |canonicalsClosed| |noZeroDivisors| |rightUnitary| |leftUnitary| |additiveValuation| diff --git a/src/share/algebra/interp.daase b/src/share/algebra/interp.daase index 19c6bf92..437f61a3 100644 --- a/src/share/algebra/interp.daase +++ b/src/share/algebra/interp.daase @@ -1,85 +1,85 @@ -(3216879 . 3451919726) -((-2486 (((-112) (-1 (-112) |#2| |#2|) $) 85) (((-112) $) NIL)) (-1894 (($ (-1 (-112) |#2| |#2|) $) 18) (($ $) NIL)) (-2463 ((|#2| $ (-564) |#2|) NIL) ((|#2| $ (-1226 (-564)) |#2|) 43)) (-1436 (($ $) 79)) (-1297 ((|#2| (-1 |#2| |#2| |#2|) $ |#2| |#2|) 51) ((|#2| (-1 |#2| |#2| |#2|) $ |#2|) 49) ((|#2| (-1 |#2| |#2| |#2|) $) 48)) (-3850 (((-564) (-1 (-112) |#2|) $) 27) (((-564) |#2| $) NIL) (((-564) |#2| $ (-564)) 95)) (-1624 (((-641 |#2|) $) 13)) (-2443 (($ (-1 (-112) |#2| |#2|) $ $) 62) (($ $ $) NIL)) (-2613 (($ (-1 |#2| |#2|) $) 37)) (-4271 (($ (-1 |#2| |#2|) $) NIL) (($ (-1 |#2| |#2| |#2|) $ $) 59)) (-4110 (($ |#2| $ (-564)) NIL) (($ $ $ (-564)) 65)) (-3645 (((-3 |#2| "failed") (-1 (-112) |#2|) $) 29)) (-1703 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T) ((-452) -2733 (|has| |#1| (-349)) (|has| |#1| (-363)) (|has| |#1| (-307))) ((-493) |has| |#1| (-1194)) ((-514 (-1170) |#1|) |has| |#1| (-514 (-1170) |#1|)) ((-514 |#1| |#1|) |has| |#1| (-309 |#1|)) ((-556) -2733 (|has| |#1| (-556)) (|has| |#1| (-349)) (|has| |#1| (-363)) (|has| |#1| (-307))) ((-644 #0#) -2733 (|has| |#1| (-349)) (|has| |#1| (-363))) ((-644 |#1|) . T) ((-644 $) . T) ((-637 (-564)) |has| |#1| (-637 (-564))) ((-637 |#1|) . T) ((-713 #0#) -2733 (|has| |#1| (-349)) (|has| |#1| (-363))) ((-713 |#1|) . T) ((-713 $) -2733 (|has| |#1| (-556)) (|has| |#1| (-349)) (|has| |#1| (-363)) (|has| |#1| (-307))) ((-720 |#1| #1#) . T) ((-722) . T) ((-846) |has| |#1| (-846)) ((-896 (-1170)) |has| |#1| (-896 (-1170))) ((-882 (-379)) |has| |#1| (-882 (-379))) ((-882 (-564)) |has| |#1| (-882 (-564))) ((-880 |#1|) . T) ((-905) -12 (|has| |#1| (-307)) (|has| |#1| (-905))) ((-916) -2733 (|has| |#1| (-349)) (|has| |#1| (-363)) (|has| |#1| (-307))) ((-998) -12 (|has| |#1| (-998)) (|has| |#1| (-1194))) ((-1034 (-407 (-564))) |has| |#1| (-1034 (-407 (-564)))) ((-1034 (-564)) |has| |#1| (-1034 (-564))) ((-1034 |#1|) . T) ((-1051 #0#) -2733 (|has| |#1| (-349)) (|has| |#1| (-363))) ((-1051 |#1|) . T) ((-1051 $) . T) ((-1045) . T) ((-1052) . T) ((-1106) . T) ((-1094) . T) ((-1145) |has| |#1| (-349)) ((-1194) |has| |#1| (-1194)) ((-1197) |has| |#1| (-1194)) ((-1209) . T) ((-1213) -2733 (|has| |#1| (-349)) (|has| |#1| (-363)) (-12 (|has| |#1| (-307)) (|has| |#1| (-905))))) +((-3697 (*1 *2 *1) (-12 (-4 *1 (-166 *2)) (-4 *2 (-172)))) (-3931 (*1 *1) (-12 (-4 *1 (-166 *2)) (-4 *2 (-172)))) (-4328 (*1 *1 *1) (-12 (-4 *1 (-166 *2)) (-4 *2 (-172)))) (-3591 (*1 *1 *2 *2) (-12 (-4 *1 (-166 *2)) (-4 *2 (-172)))) (-3587 (*1 *2 *1) (-12 (-4 *1 (-166 *2)) (-4 *2 (-172)))) (-3572 (*1 *2 *1) (-12 (-4 *1 (-166 *2)) (-4 *2 (-172)))) (-2501 (*1 *1 *1 *2) (|partial| -12 (-4 *1 (-166 *2)) (-4 *2 (-172)) (-4 *2 (-556)))) (-3777 (*1 *1 *1) (-12 (-4 *1 (-166 *2)) (-4 *2 (-172)) (-4 *2 (-1054)))) (-1487 (*1 *2 *1) (-12 (-4 *1 (-166 *2)) (-4 *2 (-172)) (-4 *2 (-1194)))) (-3129 (*1 *2 *1) (-12 (-4 *1 (-166 *3)) (-4 *3 (-172)) (-4 *3 (-1054)) (-4 *3 (-1194)) (-5 *2 (-2 (|:| |r| *3) (|:| |phi| *3))))) (-3141 (*1 *2 *1) (-12 (-4 *1 (-166 *3)) (-4 *3 (-172)) (-4 *3 (-545)) (-5 *2 (-112)))) (-1913 (*1 *2 *1) (-12 (-4 *1 (-166 *3)) (-4 *3 (-172)) (-4 *3 (-545)) (-5 *2 (-407 (-564))))) (-2845 (*1 *2 *1) (|partial| -12 (-4 *1 (-166 *3)) (-4 *3 (-172)) (-4 *3 (-545)) (-5 *2 (-407 (-564)))))) +(-13 (-720 |t#1| (-1166 |t#1|)) (-411 |t#1|) (-231 |t#1|) (-338 |t#1|) (-400 |t#1|) (-880 |t#1|) (-377 |t#1|) (-172) (-10 -8 (-6 -3591) (-15 -3931 ($)) (-15 -4328 ($ $)) (-15 -3591 ($ |t#1| |t#1|)) (-15 -3587 (|t#1| $)) (-15 -3572 (|t#1| $)) (-15 -3697 (|t#1| $)) (IF (|has| |t#1| (-556)) (PROGN (-6 (-556)) (-15 -2501 ((-3 $ "failed") $ |t#1|))) |%noBranch|) (IF (|has| |t#1| (-307)) (-6 (-307)) |%noBranch|) (IF (|has| |t#1| (-6 -4406)) (-6 -4406) |%noBranch|) (IF (|has| |t#1| (-6 -4403)) (-6 -4403) |%noBranch|) (IF (|has| |t#1| (-363)) (-6 (-363)) |%noBranch|) (IF (|has| |t#1| (-612 (-536))) (-6 (-612 (-536))) |%noBranch|) (IF (|has| |t#1| (-147)) (-6 (-147)) |%noBranch|) (IF (|has| |t#1| (-145)) (-6 (-145)) |%noBranch|) (IF (|has| |t#1| (-1018)) (PROGN (-6 (-612 (-169 (-225)))) (-6 (-612 (-169 (-379))))) |%noBranch|) (IF (|has| |t#1| (-1054)) (-15 -3777 ($ $)) |%noBranch|) (IF (|has| |t#1| (-1194)) (PROGN (-6 (-1194)) (-15 -1487 (|t#1| $)) (IF (|has| |t#1| (-998)) (-6 (-998)) |%noBranch|) (IF (|has| |t#1| (-1054)) (-15 -3129 ((-2 (|:| |r| |t#1|) (|:| |phi| |t#1|)) $)) |%noBranch|)) |%noBranch|) (IF (|has| |t#1| (-545)) (PROGN (-15 -3141 ((-112) $)) (-15 -1913 ((-407 (-564)) $)) (-15 -2845 ((-3 (-407 (-564)) "failed") $))) |%noBranch|) (IF (|has| |t#1| (-905)) (IF (|has| |t#1| (-307)) (-6 (-905)) |%noBranch|) |%noBranch|))) +(((-21) . T) ((-23) . T) ((-25) . T) ((-38 #0=(-407 (-564))) -2733 (|has| |#1| (-349)) (|has| |#1| (-363))) ((-38 |#1|) . T) ((-38 $) -2733 (|has| |#1| (-556)) (|has| |#1| (-349)) (|has| |#1| (-363)) (|has| |#1| (-307))) ((-35) |has| |#1| (-1194)) ((-95) |has| |#1| (-1194)) ((-102) . T) ((-111 #0# #0#) -2733 (|has| |#1| (-349)) (|has| |#1| (-363))) ((-111 |#1| |#1|) . T) ((-111 $ $) . T) ((-131) . T) ((-145) -2733 (|has| |#1| (-349)) (|has| |#1| (-145))) ((-147) |has| |#1| (-147)) ((-614 #0#) -2733 (|has| |#1| (-1034 (-407 (-564)))) (|has| |#1| (-349)) (|has| |#1| (-363))) ((-614 (-564)) . T) ((-614 |#1|) . T) ((-614 $) -2733 (|has| |#1| (-556)) (|has| |#1| (-349)) (|has| |#1| (-363)) (|has| |#1| (-307))) ((-611 (-858)) . T) ((-172) . T) ((-612 (-169 (-225))) |has| |#1| (-1018)) ((-612 (-169 (-379))) |has| |#1| (-1018)) ((-612 (-536)) |has| |#1| (-612 (-536))) ((-612 (-888 (-379))) |has| |#1| (-612 (-888 (-379)))) ((-612 (-888 (-564))) |has| |#1| (-612 (-888 (-564)))) ((-612 #1=(-1166 |#1|)) . T) ((-231 |#1|) . T) ((-233) -2733 (|has| |#1| (-349)) (|has| |#1| (-233))) ((-243) -2733 (|has| |#1| (-349)) (|has| |#1| (-363))) ((-284) |has| |#1| (-1194)) ((-286 |#1| $) |has| |#1| (-286 |#1| |#1|)) ((-290) -2733 (|has| |#1| (-556)) (|has| |#1| (-349)) (|has| |#1| (-363)) (|has| |#1| (-307))) ((-307) -2733 (|has| |#1| (-349)) (|has| |#1| (-363)) (|has| |#1| (-307))) ((-309 |#1|) |has| |#1| (-309 |#1|)) ((-363) -2733 (|has| |#1| (-349)) (|has| |#1| (-363))) ((-402) |has| |#1| (-349)) ((-368) -2733 (|has| |#1| (-368)) (|has| |#1| (-349))) ((-349) |has| |#1| (-349)) ((-370 |#1| #1#) . T) ((-409 |#1| #1#) . T) ((-338 |#1|) . T) ((-377 |#1|) . T) ((-400 |#1|) . T) ((-411 |#1|) . T) ((-452) -2733 (|has| |#1| (-349)) (|has| |#1| (-363)) (|has| |#1| (-307))) ((-493) |has| |#1| (-1194)) ((-514 (-1170) |#1|) |has| |#1| (-514 (-1170) |#1|)) ((-514 |#1| |#1|) |has| |#1| (-309 |#1|)) ((-556) -2733 (|has| |#1| (-556)) (|has| |#1| (-349)) (|has| |#1| (-363)) (|has| |#1| (-307))) ((-644 #0#) -2733 (|has| |#1| (-349)) (|has| |#1| (-363))) ((-644 |#1|) . T) ((-644 $) . T) ((-637 (-564)) |has| |#1| (-637 (-564))) ((-637 |#1|) . T) ((-713 #0#) -2733 (|has| |#1| (-349)) (|has| |#1| (-363))) ((-713 |#1|) . T) ((-713 $) -2733 (|has| |#1| (-556)) (|has| |#1| (-349)) (|has| |#1| (-363)) (|has| |#1| (-307))) ((-720 |#1| #1#) . T) ((-722) . T) ((-896 (-1170)) |has| |#1| (-896 (-1170))) ((-882 (-379)) |has| |#1| (-882 (-379))) ((-882 (-564)) |has| |#1| (-882 (-564))) ((-880 |#1|) . T) ((-905) -12 (|has| |#1| (-307)) (|has| |#1| (-905))) ((-916) -2733 (|has| |#1| (-349)) (|has| |#1| (-363)) (|has| |#1| (-307))) ((-998) -12 (|has| |#1| (-998)) (|has| |#1| (-1194))) ((-1034 (-407 (-564))) |has| |#1| (-1034 (-407 (-564)))) ((-1034 (-564)) |has| |#1| (-1034 (-564))) ((-1034 |#1|) . T) ((-1051 #0#) -2733 (|has| |#1| (-349)) (|has| |#1| (-363))) ((-1051 |#1|) . T) ((-1051 $) . T) ((-1045) . T) ((-1052) . T) ((-1106) . T) ((-1094) . T) ((-1145) |has| |#1| (-349)) ((-1194) |has| |#1| (-1194)) ((-1197) |has| |#1| (-1194)) ((-1209) . T) ((-1213) -2733 (|has| |#1| (-349)) (|has| |#1| (-363)) (-12 (|has| |#1| (-307)) (|has| |#1| (-905))))) ((-3546 (((-418 |#2|) |#2|) 69))) (((-167 |#1| |#2|) (-10 -7 (-15 -3546 ((-418 |#2|) |#2|))) (-307) (-1235 (-169 |#1|))) (T -167)) ((-3546 (*1 *2 *3) (-12 (-4 *4 (-307)) (-5 *2 (-418 *3)) (-5 *1 (-167 *4 *3)) (-4 *3 (-1235 (-169 *4)))))) @@ -629,7 +629,7 @@ NIL (((-168 |#1| |#2|) (-10 -7 (-15 -4271 ((-169 |#2|) (-1 |#2| |#1|) (-169 |#1|)))) (-172) (-172)) (T -168)) ((-4271 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *6 *5)) (-5 *4 (-169 *5)) (-4 *5 (-172)) (-4 *6 (-172)) (-5 *2 (-169 *6)) (-5 *1 (-168 *5 *6))))) (-10 -7 (-15 -4271 ((-169 |#2|) (-1 |#2| |#1|) (-169 |#1|)))) -((-2315 (((-112) $ $) NIL)) (-2480 (((-112) $) 34)) (-1656 (((-2 (|:| -2112 $) (|:| -4394 $) (|:| |associate| $)) $) NIL (-2733 (-12 (|has| |#1| (-307)) (|has| |#1| (-905))) (|has| |#1| (-556))))) (-2086 (($ $) NIL (-2733 (-12 (|has| |#1| (-307)) (|has| |#1| (-905))) (|has| |#1| (-556))))) (-3466 (((-112) $) NIL (-2733 (-12 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T) ((-38 |#2|) |has| |#2| (-172)) ((-102) -2733 (|has| |#2| (-1094)) (|has| |#2| (-1045)) (|has| |#2| (-844)) (|has| |#2| (-789)) (|has| |#2| (-722)) (|has| |#2| (-368)) (|has| |#2| (-363)) (|has| |#2| (-172)) (|has| |#2| (-131)) (|has| |#2| (-25))) ((-111 |#2| |#2|) -2733 (|has| |#2| (-1045)) (|has| |#2| (-363)) (|has| |#2| (-172))) ((-111 $ $) |has| |#2| (-172)) ((-131) -2733 (|has| |#2| (-1045)) (|has| |#2| (-844)) (|has| |#2| (-789)) (|has| |#2| (-363)) (|has| |#2| (-172)) (|has| |#2| (-131))) ((-614 #0=(-407 (-564))) -12 (|has| |#2| (-1034 (-407 (-564)))) (|has| |#2| (-1094))) ((-614 (-564)) -2733 (|has| |#2| (-1045)) (-12 (|has| |#2| (-1034 (-564))) (|has| |#2| (-1094))) (|has| |#2| (-844)) (|has| |#2| (-172))) ((-614 |#2|) -2733 (|has| |#2| (-1094)) (|has| |#2| (-172))) ((-611 (-858)) -2733 (|has| |#2| (-1094)) (|has| |#2| (-1045)) (|has| |#2| (-844)) (|has| |#2| (-789)) (|has| |#2| (-722)) (|has| |#2| (-368)) (|has| |#2| (-363)) (|has| |#2| (-172)) (|has| |#2| (-611 (-858))) (|has| |#2| (-131)) (|has| |#2| (-25))) ((-611 (-1259 |#2|)) . T) ((-172) |has| |#2| (-172)) ((-231 |#2|) |has| |#2| (-1045)) ((-233) -12 (|has| |#2| (-233)) (|has| |#2| (-1045))) ((-286 #1=(-564) |#2|) . T) ((-288 #1# |#2|) . T) ((-309 |#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094))) ((-368) |has| |#2| (-368)) ((-377 |#2|) |has| |#2| (-1045)) ((-411 |#2|) |has| |#2| (-1094)) ((-489 |#2|) . T) ((-602 #1# |#2|) . T) ((-514 |#2| |#2|) -12 (|has| |#2| (-309 |#2|)) (|has| |#2| (-1094))) ((-644 |#2|) -2733 (|has| |#2| (-1045)) (|has| |#2| (-363)) (|has| |#2| (-172))) ((-644 $) -2733 (|has| |#2| (-1045)) (|has| |#2| (-844)) (|has| |#2| (-172))) ((-637 (-564)) -12 (|has| |#2| (-637 (-564))) (|has| |#2| (-1045))) ((-637 |#2|) |has| |#2| (-1045)) ((-713 |#2|) -2733 (|has| |#2| (-363)) (|has| |#2| (-172))) ((-722) -2733 (|has| |#2| (-1045)) (|has| |#2| (-844)) (|has| |#2| (-722)) (|has| |#2| (-172))) ((-787) |has| |#2| (-844)) ((-788) -2733 (|has| |#2| (-844)) (|has| |#2| (-789))) ((-789) |has| |#2| (-789)) ((-790) -2733 (|has| |#2| (-844)) (|has| |#2| (-789))) ((-791) -2733 (|has| |#2| (-844)) (|has| |#2| (-789))) ((-844) |has| |#2| (-844)) ((-846) -2733 (|has| |#2| (-844)) (|has| |#2| (-789))) ((-896 (-1170)) -12 (|has| |#2| (-896 (-1170))) (|has| |#2| (-1045))) ((-1034 #0#) -12 (|has| |#2| (-1034 (-407 (-564)))) (|has| |#2| (-1094))) ((-1034 (-564)) -12 (|has| |#2| (-1034 (-564))) (|has| |#2| (-1094))) ((-1034 |#2|) |has| |#2| (-1094)) ((-1051 |#2|) -2733 (|has| |#2| (-1045)) (|has| |#2| (-363)) (|has| |#2| (-172))) ((-1051 $) |has| |#2| (-172)) ((-1045) -2733 (|has| |#2| (-1045)) (|has| |#2| (-844)) (|has| |#2| (-172))) ((-1052) -2733 (|has| |#2| (-1045)) (|has| |#2| (-844)) (|has| |#2| (-172))) ((-1106) -2733 (|has| |#2| (-1045)) (|has| |#2| (-844)) (|has| |#2| (-722)) (|has| |#2| (-172))) ((-1094) -2733 (|has| |#2| (-1094)) (|has| |#2| (-1045)) (|has| |#2| (-844)) (|has| |#2| (-789)) (|has| |#2| (-722)) (|has| |#2| (-368)) (|has| |#2| (-363)) (|has| |#2| (-172)) (|has| |#2| (-131)) (|has| |#2| (-25))) ((-1209) . T) ((-1266 |#2|) |has| |#2| (-363))) -((-2612 (((-240 |#1| |#3|) (-1 |#3| |#2| |#3|) (-240 |#1| |#2|) |#3|) 21)) (-1297 ((|#3| (-1 |#3| |#2| |#3|) (-240 |#1| |#2|) |#3|) 23)) (-4271 (((-240 |#1| |#3|) (-1 |#3| |#2|) (-240 |#1| |#2|)) 18))) -(((-239 |#1| |#2| |#3|) (-10 -7 (-15 -2612 ((-240 |#1| |#3|) (-1 |#3| |#2| |#3|) (-240 |#1| |#2|) |#3|)) (-15 -1297 (|#3| (-1 |#3| |#2| |#3|) (-240 |#1| |#2|) |#3|)) (-15 -4271 ((-240 |#1| |#3|) (-1 |#3| |#2|) (-240 |#1| |#2|)))) (-767) (-1209) (-1209)) (T -239)) -((-4271 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *7 *6)) (-5 *4 (-240 *5 *6)) (-14 *5 (-767)) (-4 *6 (-1209)) (-4 *7 (-1209)) (-5 *2 (-240 *5 *7)) (-5 *1 (-239 *5 *6 *7)))) (-1297 (*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *6 *2)) (-5 *4 (-240 *5 *6)) (-14 *5 (-767)) (-4 *6 (-1209)) (-4 *2 (-1209)) (-5 *1 (-239 *5 *6 *2)))) (-2612 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 *5 *7 *5)) (-5 *4 (-240 *6 *7)) (-14 *6 (-767)) (-4 *7 (-1209)) (-4 *5 (-1209)) (-5 *2 (-240 *6 *5)) (-5 *1 (-239 *6 *7 *5))))) -(-10 -7 (-15 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T) ((-23) . T) ((-47 |#1| |#4|) . T) ((-25) . T) ((-38 #0=(-407 (-564))) |has| |#1| (-38 (-407 (-564)))) ((-38 |#1|) |has| |#1| (-172)) ((-38 $) -2733 (|has| |#1| (-905)) (|has| |#1| (-556)) (|has| |#1| (-452))) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-38 (-407 (-564)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2733 (|has| |#1| (-905)) (|has| |#1| (-556)) (|has| |#1| (-452)) (|has| |#1| (-172))) ((-131) . T) ((-145) |has| |#1| (-145)) ((-147) |has| |#1| (-147)) ((-614 #0#) -2733 (|has| |#1| (-1034 (-407 (-564)))) (|has| |#1| (-38 (-407 (-564))))) ((-614 (-564)) . T) ((-614 |#1|) . T) ((-614 |#2|) . T) ((-614 |#3|) . T) ((-614 $) -2733 (|has| |#1| (-905)) (|has| |#1| (-556)) (|has| |#1| (-452))) ((-611 (-858)) . 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T) ((-713 #0#) |has| |#1| (-38 (-407 (-564)))) ((-713 |#1|) |has| |#1| (-172)) ((-713 $) -2733 (|has| |#1| (-905)) (|has| |#1| (-556)) (|has| |#1| (-452))) ((-722) . T) ((-896 (-1170)) |has| |#1| (-896 (-1170))) ((-896 |#3|) . T) ((-882 (-379)) -12 (|has| |#1| (-882 (-379))) (|has| |#3| (-882 (-379)))) ((-882 (-564)) -12 (|has| |#1| (-882 (-564))) (|has| |#3| (-882 (-564)))) ((-945 |#1| |#4| |#3|) . T) ((-905) |has| |#1| (-905)) ((-1034 (-407 (-564))) |has| |#1| (-1034 (-407 (-564)))) ((-1034 (-564)) |has| |#1| (-1034 (-564))) ((-1034 |#1|) . T) ((-1034 |#2|) . T) ((-1034 |#3|) . T) ((-1051 #0#) |has| |#1| (-38 (-407 (-564)))) ((-1051 |#1|) . T) ((-1051 $) -2733 (|has| |#1| (-905)) (|has| |#1| (-556)) (|has| |#1| (-452)) (|has| |#1| (-172))) ((-1045) . T) ((-1052) . T) ((-1106) . T) ((-1094) . 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NIL NIL) (-1261 3146941 3149185 3151358 "VIEW3D" 3155486 T VIEW3D (NIL) -8 NIL NIL NIL) (-1260 3139192 3140852 3142431 "VIEW2D" 3145384 T VIEW2D (NIL) -8 NIL NIL NIL) (-1259 3134546 3138962 3139054 "VECTOR" 3139135 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1258 3133123 3133382 3133700 "VECTOR2" 3134276 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1257 3126602 3130907 3130950 "VECTCAT" 3131943 NIL VECTCAT (NIL T) -9 NIL 3132529 NIL) (-1256 3125616 3125870 3126260 "VECTCAT-" 3126265 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1255 3125070 3125267 3125387 "VARIABLE" 3125531 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1254 3125003 3125008 3125038 "UTYPE" 3125043 T UTYPE (NIL) -9 NIL NIL NIL) (-1253 3123833 3123987 3124249 "UTSODETL" 3124829 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1252 3121273 3121733 3122257 "UTSODE" 3123374 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1251 3113110 3118899 3119388 "UTS" 3120842 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1250 3104318 3109677 3109720 "UTSCAT" 3110832 NIL 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-7 NIL NIL NIL) (-1155 2771090 2772210 2773357 "STTFNC" 2775817 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1154 2762401 2764272 2766066 "STTAYLOR" 2769331 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1153 2755531 2762265 2762348 "STRTBL" 2762353 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1152 2750895 2755486 2755517 "STRING" 2755522 T STRING (NIL) -8 NIL NIL NIL) (-1151 2745756 2750268 2750298 "STRICAT" 2750357 T STRICAT (NIL) -9 NIL 2750419 NIL) (-1150 2738511 2743375 2743986 "STREAM" 2745180 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1149 2738021 2738098 2738242 "STREAM3" 2738428 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1148 2737003 2737186 2737421 "STREAM2" 2737834 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1147 2736691 2736743 2736836 "STREAM1" 2736945 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1146 2735707 2735888 2736119 "STINPROD" 2736507 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1145 2735261 2735469 2735499 "STEP" 2735579 T STEP (NIL) -9 NIL 2735657 NIL) (-1144 2728693 2735160 2735237 "STBL" 2735242 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1143 2723819 2727914 2727957 "STAGG" 2728110 NIL STAGG (NIL T) -9 NIL 2728199 NIL) (-1142 2721521 2722123 2722995 "STAGG-" 2723000 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1141 2719668 2721291 2721383 "STACK" 2721464 NIL STACK (NIL T) -8 NIL NIL NIL) (-1140 2712364 2717809 2718265 "SREGSET" 2719298 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1139 2704789 2706158 2707671 "SRDCMPK" 2710970 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1138 2697706 2702229 2702259 "SRAGG" 2703562 T SRAGG (NIL) -9 NIL 2704170 NIL) (-1137 2696723 2696978 2697357 "SRAGG-" 2697362 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1136 2691183 2695670 2696091 "SQMATRIX" 2696349 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1135 2684869 2687901 2688628 "SPLTREE" 2690528 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1134 2680832 2681525 2682171 "SPLNODE" 2684295 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1133 2679879 2680112 2680142 "SPFCAT" 2680586 T SPFCAT (NIL) -9 NIL NIL NIL) (-1132 2678616 2678826 2679090 "SPECOUT" 2679637 T SPECOUT (NIL) -7 NIL NIL NIL) (-1131 2670242 2672012 2672042 "SPADXPT" 2676434 T SPADXPT (NIL) -9 NIL 2678468 NIL) (-1130 2670003 2670043 2670112 "SPADPRSR" 2670195 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1129 2668158 2669958 2669989 "SPADAST" 2669994 T SPADAST (NIL) -8 NIL NIL NIL) (-1128 2660103 2661876 2661919 "SPACEC" 2666292 NIL SPACEC (NIL T) -9 NIL 2668108 NIL) (-1127 2658233 2660035 2660084 "SPACE3" 2660089 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1126 2656985 2657156 2657447 "SORTPAK" 2658038 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1125 2655035 2655338 2655757 "SOLVETRA" 2656649 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1124 2654046 2654268 2654542 "SOLVESER" 2654808 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1123 2649257 2650147 2651149 "SOLVERAD" 2653098 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1122 2645072 2645681 2646410 "SOLVEFOR" 2648624 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1121 2639342 2644421 2644518 "SNTSCAT" 2644523 NIL SNTSCAT (NIL T T T T) -9 NIL 2644593 NIL) (-1120 2633448 2637665 2638056 "SMTS" 2639032 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1119 2627861 2633336 2633413 "SMP" 2633418 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1118 2626020 2626321 2626719 "SMITH" 2627558 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1117 2618880 2623071 2623174 "SMATCAT" 2624525 NIL SMATCAT (NIL NIL T T T) -9 NIL 2625075 NIL) (-1116 2615820 2616643 2617821 "SMATCAT-" 2617826 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1115 2613486 2615056 2615099 "SKAGG" 2615360 NIL SKAGG (NIL T) -9 NIL 2615495 NIL) (-1114 2609794 2612902 2613097 "SINT" 2613284 T SINT (NIL) -8 NIL NIL 2613457) (-1113 2609566 2609604 2609670 "SIMPAN" 2609750 T SIMPAN (NIL) -7 NIL NIL NIL) (-1112 2608845 2609101 2609241 "SIG" 2609448 T SIG (NIL) -8 NIL NIL NIL) (-1111 2607683 2607904 2608179 "SIGNRF" 2608604 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1110 2606488 2606639 2606930 "SIGNEF" 2607512 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1109 2605794 2606071 2606195 "SIGAST" 2606386 T SIGAST (NIL) -8 NIL NIL NIL) (-1108 2603484 2603938 2604444 "SHP" 2605335 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1107 2597336 2603385 2603461 "SHDP" 2603466 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1106 2596911 2597101 2597131 "SGROUP" 2597224 T SGROUP (NIL) -9 NIL 2597286 NIL) (-1105 2596769 2596795 2596868 "SGROUP-" 2596873 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1104 2593604 2594302 2595025 "SGCF" 2596068 T SGCF (NIL) -7 NIL NIL NIL) (-1103 2587972 2593051 2593148 "SFRTCAT" 2593153 NIL SFRTCAT (NIL T T T T) -9 NIL 2593192 NIL) (-1102 2581393 2582411 2583547 "SFRGCD" 2586955 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1101 2574520 2575592 2576778 "SFQCMPK" 2580326 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1100 2574142 2574231 2574341 "SFORT" 2574461 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1099 2573260 2573982 2574103 "SEXOF" 2574108 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1098 2572367 2573141 2573209 "SEX" 2573214 T SEX (NIL) -8 NIL NIL NIL) (-1097 2567880 2568595 2568690 "SEXCAT" 2571627 NIL SEXCAT (NIL T T T T T) -9 NIL 2572205 NIL) (-1096 2565033 2567814 2567862 "SET" 2567867 NIL SET (NIL T) -8 NIL NIL NIL) (-1095 2563257 2563746 2564051 "SETMN" 2564774 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1094 2562753 2562905 2562935 "SETCAT" 2563111 T SETCAT (NIL) -9 NIL 2563221 NIL) (-1093 2562533 2562585 2562684 "SETCAT-" 2562689 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1092 2558894 2560994 2561037 "SETAGG" 2561907 NIL SETAGG (NIL T) -9 NIL 2562247 NIL) (-1091 2558352 2558468 2558705 "SETAGG-" 2558710 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1090 2557795 2558048 2558149 "SEQAST" 2558273 T SEQAST (NIL) -8 NIL NIL NIL) (-1089 2556994 2557288 2557349 "SEGXCAT" 2557635 NIL SEGXCAT (NIL T T) -9 NIL 2557755 NIL) (-1088 2556000 2556660 2556842 "SEG" 2556847 NIL SEG (NIL T) -8 NIL NIL NIL) (-1087 2554979 2555193 2555236 "SEGCAT" 2555758 NIL SEGCAT (NIL T) -9 NIL 2555979 NIL) (-1086 2553980 2554358 2554558 "SEGBIND" 2554814 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1085 2553601 2553660 2553773 "SEGBIND2" 2553915 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1084 2553174 2553402 2553479 "SEGAST" 2553546 T SEGAST (NIL) -8 NIL NIL NIL) (-1083 2552393 2552519 2552723 "SEG2" 2553018 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1082 2551803 2552328 2552375 "SDVAR" 2552380 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1081 2544058 2551573 2551703 "SDPOL" 2551708 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1080 2542651 2542917 2543236 "SCPKG" 2543773 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1079 2541815 2541987 2542179 "SCOPE" 2542481 T SCOPE (NIL) -8 NIL NIL NIL) (-1078 2541035 2541169 2541348 "SCACHE" 2541670 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1077 2540681 2540867 2540897 "SASTCAT" 2540902 T SASTCAT (NIL) -9 NIL 2540915 NIL) (-1076 2540168 2540516 2540592 "SAOS" 2540627 T SAOS (NIL) -8 NIL NIL NIL) (-1075 2539733 2539768 2539941 "SAERFFC" 2540127 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1074 2533672 2539630 2539710 "SAE" 2539715 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1073 2533265 2533300 2533459 "SAEFACT" 2533631 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1072 2531586 2531900 2532301 "RURPK" 2532931 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1071 2530195 2530501 2530813 "RULESET" 2531420 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1070 2527355 2527885 2528350 "RULE" 2529876 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1069 2526967 2527149 2527232 "RULECOLD" 2527307 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1068 2526757 2526785 2526856 "RTVALUE" 2526918 T RTVALUE (NIL) -8 NIL NIL NIL) (-1067 2526228 2526474 2526568 "RSTRCAST" 2526685 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1066 2521076 2521871 2522791 "RSETGCD" 2525427 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1065 2510306 2515385 2515482 "RSETCAT" 2519601 NIL RSETCAT (NIL T T T T) -9 NIL 2520698 NIL) (-1064 2508233 2508772 2509596 "RSETCAT-" 2509601 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1063 2500618 2501995 2503515 "RSDCMPK" 2506832 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1062 2498597 2499064 2499138 "RRCC" 2500224 NIL RRCC (NIL T T) -9 NIL 2500568 NIL) (-1061 2497948 2498122 2498401 "RRCC-" 2498406 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1060 2497391 2497644 2497745 "RPTAST" 2497869 T RPTAST (NIL) -8 NIL NIL NIL) (-1059 2471362 2480984 2481051 "RPOLCAT" 2491715 NIL RPOLCAT (NIL T T T) -9 NIL 2494874 NIL) (-1058 2462860 2465200 2468322 "RPOLCAT-" 2468327 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1057 2453791 2461071 2461553 "ROUTINE" 2462400 T ROUTINE (NIL) -8 NIL NIL NIL) (-1056 2450589 2453417 2453557 "ROMAN" 2453673 T ROMAN (NIL) -8 NIL NIL NIL) (-1055 2448833 2449449 2449709 "ROIRC" 2450394 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1054 2445191 2447469 2447499 "RNS" 2447803 T RNS (NIL) -9 NIL 2448076 NIL) (-1053 2443700 2444083 2444617 "RNS-" 2444692 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1052 2443123 2443531 2443561 "RNG" 2443566 T RNG (NIL) -9 NIL 2443587 NIL) (-1051 2442491 2442877 2442920 "RMODULE" 2442982 NIL RMODULE (NIL T) -9 NIL 2443024 NIL) (-1050 2441327 2441421 2441757 "RMCAT2" 2442392 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1049 2438177 2440673 2440970 "RMATRIX" 2441089 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1048 2431093 2433353 2433468 "RMATCAT" 2436827 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2437809 NIL) (-1047 2430468 2430615 2430922 "RMATCAT-" 2430927 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1046 2430035 2430110 2430238 "RINTERP" 2430387 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1045 2429128 2429682 2429712 "RING" 2429768 T RING (NIL) -9 NIL 2429860 NIL) (-1044 2428920 2428964 2429061 "RING-" 2429066 NIL RING- (NIL T) -8 NIL NIL NIL) (-1043 2427761 2427998 2428256 "RIDIST" 2428684 T RIDIST (NIL) -7 NIL NIL NIL) (-1042 2419050 2427229 2427435 "RGCHAIN" 2427609 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1041 2418400 2418806 2418847 "RGBCSPC" 2418905 NIL RGBCSPC (NIL T) -9 NIL 2418957 NIL) (-1040 2417558 2417939 2417980 "RGBCMDL" 2418212 NIL RGBCMDL (NIL T) -9 NIL 2418326 NIL) (-1039 2414552 2415166 2415836 "RF" 2416922 NIL RF (NIL T) -7 NIL NIL NIL) (-1038 2414198 2414261 2414364 "RFFACTOR" 2414483 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1037 2413923 2413958 2414055 "RFFACT" 2414157 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1036 2412040 2412404 2412786 "RFDIST" 2413563 T RFDIST (NIL) -7 NIL NIL NIL) (-1035 2411493 2411585 2411748 "RETSOL" 2411942 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1034 2411129 2411209 2411252 "RETRACT" 2411385 NIL RETRACT (NIL T) -9 NIL 2411472 NIL) (-1033 2410978 2411003 2411090 "RETRACT-" 2411095 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1032 2410580 2410800 2410870 "RETAST" 2410930 T RETAST (NIL) -8 NIL NIL NIL) (-1031 2403318 2410233 2410360 "RESULT" 2410475 T RESULT (NIL) -8 NIL NIL NIL) (-1030 2401909 2402587 2402786 "RESRING" 2403221 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1029 2401545 2401594 2401692 "RESLATC" 2401846 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1028 2401250 2401285 2401392 "REPSQ" 2401504 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1027 2398672 2399252 2399854 "REP" 2400670 T REP (NIL) -7 NIL NIL NIL) (-1026 2398369 2398404 2398515 "REPDB" 2398631 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1025 2392269 2393658 2394881 "REP2" 2397181 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1024 2388646 2389327 2390135 "REP1" 2391496 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1023 2381342 2386787 2387243 "REGSET" 2388276 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1022 2380107 2380490 2380740 "REF" 2381127 NIL REF (NIL T) -8 NIL NIL NIL) (-1021 2379484 2379587 2379754 "REDORDER" 2379991 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1020 2375452 2378697 2378924 "RECLOS" 2379312 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1019 2374504 2374685 2374900 "REALSOLV" 2375259 T REALSOLV (NIL) -7 NIL NIL NIL) (-1018 2374350 2374391 2374421 "REAL" 2374426 T REAL (NIL) -9 NIL 2374461 NIL) (-1017 2370833 2371635 2372519 "REAL0Q" 2373515 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1016 2366434 2367422 2368483 "REAL0" 2369814 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1015 2365905 2366151 2366245 "RDUCEAST" 2366362 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1014 2365310 2365382 2365589 "RDIV" 2365827 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1013 2364378 2364552 2364765 "RDIST" 2365132 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1012 2362975 2363262 2363634 "RDETRS" 2364086 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1011 2360787 2361241 2361779 "RDETR" 2362517 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1010 2359398 2359676 2360080 "RDEEFS" 2360503 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1009 2357893 2358199 2358631 "RDEEF" 2359086 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1008 2352119 2355029 2355059 "RCFIELD" 2356354 T RCFIELD (NIL) -9 NIL 2357084 NIL) (-1007 2350183 2350687 2351383 "RCFIELD-" 2351458 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1006 2346452 2348284 2348327 "RCAGG" 2349411 NIL RCAGG (NIL T) -9 NIL 2349876 NIL) (-1005 2346080 2346174 2346337 "RCAGG-" 2346342 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1004 2345415 2345527 2345692 "RATRET" 2345964 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1003 2344968 2345035 2345156 "RATFACT" 2345343 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1002 2344276 2344396 2344548 "RANDSRC" 2344838 T RANDSRC (NIL) -7 NIL NIL NIL) (-1001 2344010 2344054 2344127 "RADUTIL" 2344225 T RADUTIL (NIL) -7 NIL NIL NIL) (-1000 2337126 2342843 2343153 "RADIX" 2343734 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-999 2328747 2336970 2337098 "RADFF" 2337103 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-998 2328399 2328474 2328502 "RADCAT" 2328659 T RADCAT (NIL) -9 NIL NIL NIL) (-997 2328184 2328232 2328329 "RADCAT-" 2328334 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-996 2326287 2327959 2328048 "QUEUE" 2328128 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-995 2322828 2326224 2326269 "QUAT" 2326274 NIL QUAT (NIL T) -8 NIL NIL NIL) (-994 2322466 2322509 2322636 "QUATCT2" 2322779 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-993 2316178 2319515 2319555 "QUATCAT" 2320335 NIL QUATCAT (NIL T) -9 NIL 2321101 NIL) (-992 2312322 2313359 2314746 "QUATCAT-" 2314840 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-991 2309795 2311406 2311447 "QUAGG" 2311822 NIL QUAGG (NIL T) -9 NIL 2311997 NIL) (-990 2309400 2309620 2309688 "QQUTAST" 2309747 T QQUTAST (NIL) -8 NIL NIL NIL) (-989 2308298 2308798 2308970 "QFORM" 2309272 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-988 2299476 2304715 2304755 "QFCAT" 2305413 NIL QFCAT (NIL T) -9 NIL 2306414 NIL) (-987 2295048 2296249 2297840 "QFCAT-" 2297934 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-986 2294686 2294729 2294856 "QFCAT2" 2294999 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-985 2294146 2294256 2294386 "QEQUAT" 2294576 T QEQUAT (NIL) -8 NIL NIL NIL) (-984 2287293 2288365 2289549 "QCMPACK" 2293079 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-983 2284842 2285290 2285718 "QALGSET" 2286948 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-982 2284087 2284261 2284493 "QALGSET2" 2284662 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-981 2282777 2283001 2283318 "PWFFINTB" 2283860 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-980 2280959 2281127 2281481 "PUSHVAR" 2282591 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-979 2276877 2277931 2277972 "PTRANFN" 2279856 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-978 2275279 2275570 2275892 "PTPACK" 2276588 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-977 2274911 2274968 2275077 "PTFUNC2" 2275216 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-976 2269390 2273783 2273824 "PTCAT" 2274120 NIL PTCAT (NIL T) -9 NIL 2274273 NIL) (-975 2269048 2269083 2269207 "PSQFR" 2269349 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-974 2267643 2267941 2268275 "PSEUDLIN" 2268746 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-973 2254406 2256777 2259101 "PSETPK" 2265403 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-972 2247424 2250164 2250260 "PSETCAT" 2253281 NIL PSETCAT (NIL T T T T) -9 NIL 2254095 NIL) (-971 2245260 2245894 2246715 "PSETCAT-" 2246720 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-970 2244609 2244774 2244802 "PSCURVE" 2245070 T PSCURVE (NIL) -9 NIL 2245237 NIL) (-969 2240931 2242447 2242512 "PSCAT" 2243356 NIL PSCAT (NIL T T T) -9 NIL 2243596 NIL) (-968 2239994 2240210 2240610 "PSCAT-" 2240615 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-967 2238699 2239359 2239564 "PRTITION" 2239809 T PRTITION (NIL) -8 NIL NIL NIL) (-966 2238174 2238420 2238512 "PRTDAST" 2238627 T PRTDAST (NIL) -8 NIL NIL NIL) (-965 2227264 2229478 2231666 "PRS" 2236036 NIL PRS (NIL T T) -7 NIL NIL NIL) (-964 2225075 2226614 2226654 "PRQAGG" 2226837 NIL PRQAGG (NIL T) -9 NIL 2226939 NIL) (-963 2224435 2224690 2224718 "PROPLOG" 2224903 T PROPLOG (NIL) -9 NIL 2225025 NIL) (-962 2222916 2223386 2223643 "PROPFRML" 2224211 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-961 2222385 2222492 2222620 "PROPERTY" 2222808 T PROPERTY (NIL) -8 NIL NIL NIL) (-960 2216443 2220551 2221371 "PRODUCT" 2221611 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-959 2213721 2215901 2216135 "PR" 2216254 NIL PR (NIL T T) -8 NIL NIL NIL) (-958 2213517 2213549 2213608 "PRINT" 2213682 T PRINT (NIL) -7 NIL NIL NIL) (-957 2212857 2212974 2213126 "PRIMES" 2213397 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-956 2210922 2211323 2211789 "PRIMELT" 2212436 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-955 2210651 2210700 2210728 "PRIMCAT" 2210852 T PRIMCAT (NIL) -9 NIL NIL NIL) (-954 2206766 2210589 2210634 "PRIMARR" 2210639 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-953 2205773 2205951 2206179 "PRIMARR2" 2206584 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-952 2205416 2205472 2205583 "PREASSOC" 2205711 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-951 2204891 2205024 2205052 "PPCURVE" 2205257 T PPCURVE (NIL) -9 NIL 2205393 NIL) (-950 2204486 2204686 2204769 "PORTNUM" 2204828 T PORTNUM (NIL) -8 NIL NIL NIL) (-949 2201845 2202244 2202836 "POLYROOT" 2204067 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-948 2195755 2201449 2201609 "POLY" 2201718 NIL POLY (NIL T) -8 NIL NIL NIL) (-947 2195138 2195196 2195430 "POLYLIFT" 2195691 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-946 2191413 2191862 2192491 "POLYCATQ" 2194683 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-945 2178195 2183588 2183653 "POLYCAT" 2187167 NIL POLYCAT (NIL T T T) -9 NIL 2189095 NIL) (-944 2171644 2173506 2175890 "POLYCAT-" 2175895 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-943 2171231 2171299 2171419 "POLY2UP" 2171570 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-942 2170863 2170920 2171029 "POLY2" 2171168 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-941 2169548 2169787 2170063 "POLUTIL" 2170637 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-940 2167903 2168180 2168511 "POLTOPOL" 2169270 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-939 2163370 2167839 2167885 "POINT" 2167890 NIL POINT (NIL T) -8 NIL NIL NIL) (-938 2161557 2161914 2162289 "PNTHEORY" 2163015 T PNTHEORY (NIL) -7 NIL NIL NIL) (-937 2159976 2160273 2160685 "PMTOOLS" 2161255 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-936 2159569 2159647 2159764 "PMSYM" 2159892 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-935 2159079 2159148 2159322 "PMQFCAT" 2159494 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-934 2158434 2158544 2158700 "PMPRED" 2158956 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-933 2157830 2157916 2158077 "PMPREDFS" 2158335 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-932 2156473 2156681 2157066 "PMPLCAT" 2157592 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-931 2156005 2156084 2156236 "PMLSAGG" 2156388 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-930 2155480 2155556 2155737 "PMKERNEL" 2155923 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-929 2155097 2155172 2155285 "PMINS" 2155399 NIL PMINS (NIL T) -7 NIL NIL NIL) (-928 2154525 2154594 2154810 "PMFS" 2155022 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-927 2153753 2153871 2154076 "PMDOWN" 2154402 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-926 2152920 2153078 2153259 "PMASS" 2153592 T PMASS (NIL) -7 NIL NIL NIL) (-925 2152198 2152308 2152470 "PMASSFS" 2152807 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-924 2151853 2151921 2152015 "PLOTTOOL" 2152124 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-923 2146460 2147664 2148812 "PLOT" 2150725 T PLOT (NIL) -8 NIL NIL NIL) (-922 2142264 2143308 2144229 "PLOT3D" 2145559 T PLOT3D (NIL) -8 NIL NIL NIL) (-921 2141176 2141353 2141588 "PLOT1" 2142068 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-920 2116565 2121242 2126093 "PLEQN" 2136442 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-919 2115883 2116005 2116185 "PINTERP" 2116430 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-918 2115576 2115623 2115726 "PINTERPA" 2115830 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-917 2114797 2115345 2115432 "PI" 2115472 T PI (NIL) -8 NIL NIL 2115539) (-916 2113160 2114135 2114163 "PID" 2114345 T PID (NIL) -9 NIL 2114479 NIL) (-915 2112885 2112922 2113010 "PICOERCE" 2113117 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-914 2112205 2112344 2112520 "PGROEB" 2112741 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-913 2107792 2108606 2109511 "PGE" 2111320 T PGE (NIL) -7 NIL NIL NIL) (-912 2105915 2106162 2106528 "PGCD" 2107509 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-911 2105253 2105356 2105517 "PFRPAC" 2105799 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-910 2101894 2103801 2104154 "PFR" 2104932 NIL PFR (NIL T) -8 NIL NIL NIL) (-909 2100283 2100527 2100852 "PFOTOOLS" 2101641 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-908 2098816 2099055 2099406 "PFOQ" 2100040 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-907 2097289 2097501 2097864 "PFO" 2098600 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-906 2093842 2097178 2097247 "PF" 2097252 NIL PF (NIL NIL) -8 NIL NIL NIL) (-905 2091242 2092513 2092541 "PFECAT" 2093126 T PFECAT (NIL) -9 NIL 2093510 NIL) (-904 2090687 2090841 2091055 "PFECAT-" 2091060 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-903 2089290 2089542 2089843 "PFBRU" 2090436 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-902 2087155 2087508 2087940 "PFBR" 2088941 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-901 2083037 2084531 2085207 "PERM" 2086512 NIL PERM (NIL T) -8 NIL NIL NIL) (-900 2078271 2079244 2080114 "PERMGRP" 2082200 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-899 2076377 2077334 2077375 "PERMCAT" 2077821 NIL PERMCAT (NIL T) -9 NIL 2078126 NIL) (-898 2076030 2076071 2076195 "PERMAN" 2076330 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-897 2073518 2075695 2075817 "PENDTREE" 2075941 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-896 2071577 2072345 2072386 "PDRING" 2073043 NIL PDRING (NIL T) -9 NIL 2073329 NIL) (-895 2070680 2070898 2071260 "PDRING-" 2071265 NIL PDRING- (NIL T T) -8 NIL NIL NIL) (-894 2067895 2068673 2069341 "PDEPROB" 2070032 T PDEPROB (NIL) -8 NIL NIL NIL) (-893 2065440 2065944 2066499 "PDEPACK" 2067360 T PDEPACK (NIL) -7 NIL NIL NIL) (-892 2064352 2064542 2064793 "PDECOMP" 2065239 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-891 2061931 2062774 2062802 "PDECAT" 2063589 T PDECAT (NIL) -9 NIL 2064302 NIL) (-890 2061682 2061715 2061805 "PCOMP" 2061892 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-889 2059860 2060483 2060780 "PBWLB" 2061411 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-888 2052333 2053933 2055271 "PATTERN" 2058543 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-887 2051965 2052022 2052131 "PATTERN2" 2052270 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-886 2049722 2050110 2050567 "PATTERN1" 2051554 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-885 2047090 2047671 2048152 "PATRES" 2049287 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-884 2046654 2046721 2046853 "PATRES2" 2047017 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-883 2044537 2044942 2045349 "PATMATCH" 2046321 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-882 2044047 2044256 2044297 "PATMAB" 2044404 NIL PATMAB (NIL T) -9 NIL 2044487 NIL) (-881 2042565 2042901 2043159 "PATLRES" 2043852 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-880 2042111 2042234 2042275 "PATAB" 2042280 NIL PATAB (NIL T) -9 NIL 2042452 NIL) (-879 2039592 2040124 2040697 "PARTPERM" 2041558 T PARTPERM (NIL) -7 NIL NIL NIL) (-878 2039213 2039276 2039378 "PARSURF" 2039523 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-877 2038845 2038902 2039011 "PARSU2" 2039150 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-876 2038609 2038649 2038716 "PARSER" 2038798 T PARSER (NIL) -7 NIL NIL NIL) (-875 2038230 2038293 2038395 "PARSCURV" 2038540 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-874 2037862 2037919 2038028 "PARSC2" 2038167 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-873 2037501 2037559 2037656 "PARPCURV" 2037798 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-872 2037133 2037190 2037299 "PARPC2" 2037438 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-871 2036653 2036739 2036858 "PAN2EXPR" 2037034 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-870 2035430 2035774 2036002 "PALETTE" 2036445 T PALETTE (NIL) -8 NIL NIL NIL) (-869 2033823 2034435 2034795 "PAIR" 2035116 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-868 2027693 2033082 2033276 "PADICRC" 2033678 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-867 2020922 2027039 2027223 "PADICRAT" 2027541 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-866 2019237 2020859 2020904 "PADIC" 2020909 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-865 2016413 2017977 2018017 "PADICCT" 2018598 NIL PADICCT (NIL NIL) -9 NIL 2018880 NIL) (-864 2015370 2015570 2015838 "PADEPAC" 2016200 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-863 2014582 2014715 2014921 "PADE" 2015232 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-862 2012969 2013790 2014070 "OWP" 2014386 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-861 2012462 2012675 2012772 "OVERSET" 2012892 T OVERSET (NIL) -8 NIL NIL NIL) (-860 2011508 2012067 2012239 "OVAR" 2012330 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-859 2010772 2010893 2011054 "OUT" 2011367 T OUT (NIL) -7 NIL NIL NIL) (-858 1999643 2001881 2004081 "OUTFORM" 2008592 T OUTFORM (NIL) -8 NIL NIL NIL) (-857 1998979 1999240 1999367 "OUTBFILE" 1999536 T OUTBFILE (NIL) -8 NIL NIL NIL) (-856 1998286 1998451 1998479 "OUTBCON" 1998797 T OUTBCON (NIL) -9 NIL 1998963 NIL) (-855 1997887 1997999 1998156 "OUTBCON-" 1998161 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-854 1997267 1997616 1997705 "OSI" 1997818 T OSI (NIL) -8 NIL NIL NIL) (-853 1996797 1997135 1997163 "OSGROUP" 1997168 T OSGROUP (NIL) -9 NIL 1997190 NIL) (-852 1995542 1995769 1996054 "ORTHPOL" 1996544 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-851 1993093 1995377 1995498 "OREUP" 1995503 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-850 1990496 1992784 1992911 "ORESUP" 1993035 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-849 1988024 1988524 1989085 "OREPCTO" 1989985 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-848 1981814 1984015 1984056 "OREPCAT" 1986404 NIL OREPCAT (NIL T) -9 NIL 1987508 NIL) (-847 1978961 1979743 1980801 "OREPCAT-" 1980806 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-846 1978112 1978410 1978438 "ORDSET" 1978747 T ORDSET (NIL) -9 NIL 1978911 NIL) (-845 1977543 1977691 1977915 "ORDSET-" 1977920 NIL ORDSET- (NIL T) -8 NIL NIL NIL) (-844 1976143 1976934 1976962 "ORDRING" 1977164 T ORDRING (NIL) -9 NIL 1977289 NIL) (-843 1975788 1975882 1976026 "ORDRING-" 1976031 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-842 1975168 1975631 1975659 "ORDMON" 1975664 T ORDMON (NIL) -9 NIL 1975685 NIL) (-841 1974330 1974477 1974672 "ORDFUNS" 1975017 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-840 1973668 1974087 1974115 "ORDFIN" 1974180 T ORDFIN (NIL) -9 NIL 1974254 NIL) (-839 1970227 1972254 1972663 "ORDCOMP" 1973292 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-838 1969493 1969620 1969806 "ORDCOMP2" 1970087 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-837 1966074 1966984 1967798 "OPTPROB" 1968699 T OPTPROB (NIL) -8 NIL NIL NIL) (-836 1962876 1963515 1964219 "OPTPACK" 1965390 T OPTPACK (NIL) -7 NIL NIL NIL) (-835 1960563 1961329 1961357 "OPTCAT" 1962176 T OPTCAT (NIL) -9 NIL 1962826 NIL) (-834 1959979 1960240 1960345 "OPSIG" 1960478 T OPSIG (NIL) -8 NIL NIL NIL) (-833 1959747 1959786 1959852 "OPQUERY" 1959933 T OPQUERY (NIL) -7 NIL NIL NIL) (-832 1956878 1958058 1958562 "OP" 1959276 NIL OP (NIL T) -8 NIL NIL NIL) (-831 1956387 1956584 1956625 "OPERCAT" 1956760 NIL OPERCAT (NIL T) -9 NIL 1956828 NIL) (-830 1956233 1956260 1956346 "OPERCAT-" 1956351 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-829 1953045 1955030 1955399 "ONECOMP" 1955897 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-828 1952350 1952465 1952639 "ONECOMP2" 1952917 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-827 1951769 1951875 1952005 "OMSERVER" 1952240 T OMSERVER (NIL) -7 NIL NIL NIL) (-826 1948631 1951209 1951249 "OMSAGG" 1951310 NIL OMSAGG (NIL T) -9 NIL 1951374 NIL) (-825 1947254 1947517 1947799 "OMPKG" 1948369 T OMPKG (NIL) -7 NIL NIL NIL) (-824 1946684 1946787 1946815 "OM" 1947114 T OM (NIL) -9 NIL NIL NIL) (-823 1945231 1946233 1946402 "OMLO" 1946565 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-822 1944156 1944303 1944530 "OMEXPR" 1945057 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-821 1943447 1943702 1943838 "OMERR" 1944040 T OMERR (NIL) -8 NIL NIL NIL) (-820 1942598 1942868 1943028 "OMERRK" 1943307 T OMERRK (NIL) -8 NIL NIL NIL) (-819 1942049 1942275 1942383 "OMENC" 1942510 T OMENC (NIL) -8 NIL NIL NIL) (-818 1935944 1937129 1938300 "OMDEV" 1940898 T OMDEV (NIL) -8 NIL NIL NIL) (-817 1935013 1935184 1935378 "OMCONN" 1935770 T OMCONN (NIL) -8 NIL NIL NIL) (-816 1933600 1934576 1934604 "OINTDOM" 1934609 T OINTDOM (NIL) -9 NIL 1934630 NIL) (-815 1929379 1930590 1931306 "OFMONOID" 1932916 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-814 1928790 1929316 1929361 "ODVAR" 1929366 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-813 1926213 1928535 1928690 "ODR" 1928695 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-812 1918522 1925989 1926115 "ODPOL" 1926120 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-811 1912344 1918394 1918499 "ODP" 1918504 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-810 1911110 1911325 1911600 "ODETOOLS" 1912118 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-809 1908077 1908735 1909451 "ODESYS" 1910443 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-808 1902959 1903867 1904892 "ODERTRIC" 1907152 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-807 1902385 1902467 1902661 "ODERED" 1902871 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-806 1899273 1899821 1900498 "ODERAT" 1901808 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-805 1896230 1896697 1897294 "ODEPRRIC" 1898802 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-804 1894173 1894769 1895255 "ODEPROB" 1895764 T ODEPROB (NIL) -8 NIL NIL NIL) (-803 1890693 1891178 1891825 "ODEPRIM" 1893652 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-802 1889942 1890044 1890304 "ODEPAL" 1890585 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-801 1886104 1886895 1887759 "ODEPACK" 1889098 T ODEPACK (NIL) -7 NIL NIL NIL) (-800 1885137 1885244 1885473 "ODEINT" 1885993 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-799 1879238 1880663 1882110 "ODEIFTBL" 1883710 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-798 1874573 1875359 1876318 "ODEEF" 1878397 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-797 1873908 1873997 1874227 "ODECONST" 1874478 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-796 1872033 1872694 1872722 "ODECAT" 1873327 T ODECAT (NIL) -9 NIL 1873858 NIL) (-795 1868905 1871745 1871864 "OCT" 1871946 NIL OCT (NIL T) -8 NIL NIL NIL) (-794 1868543 1868586 1868713 "OCTCT2" 1868856 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-793 1863283 1865717 1865757 "OC" 1866854 NIL OC (NIL T) -9 NIL 1867712 NIL) (-792 1860510 1861258 1862248 "OC-" 1862342 NIL OC- (NIL T T) -8 NIL NIL NIL) (-791 1859862 1860330 1860358 "OCAMON" 1860363 T OCAMON (NIL) -9 NIL 1860384 NIL) (-790 1859393 1859734 1859762 "OASGP" 1859767 T OASGP (NIL) -9 NIL 1859787 NIL) (-789 1858654 1859143 1859171 "OAMONS" 1859211 T OAMONS (NIL) -9 NIL 1859254 NIL) (-788 1858068 1858501 1858529 "OAMON" 1858534 T OAMON (NIL) -9 NIL 1858554 NIL) (-787 1857346 1857864 1857892 "OAGROUP" 1857897 T OAGROUP (NIL) -9 NIL 1857917 NIL) (-786 1857036 1857086 1857174 "NUMTUBE" 1857290 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-785 1850609 1852127 1853663 "NUMQUAD" 1855520 T NUMQUAD (NIL) -7 NIL NIL NIL) (-784 1846365 1847353 1848378 "NUMODE" 1849604 T NUMODE (NIL) -7 NIL NIL NIL) (-783 1843720 1844600 1844628 "NUMINT" 1845551 T NUMINT (NIL) -9 NIL 1846315 NIL) (-782 1842668 1842865 1843083 "NUMFMT" 1843522 T NUMFMT (NIL) -7 NIL NIL NIL) (-781 1829027 1831972 1834504 "NUMERIC" 1840175 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-780 1823397 1828476 1828571 "NTSCAT" 1828576 NIL NTSCAT (NIL T T T T) -9 NIL 1828615 NIL) (-779 1822591 1822756 1822949 "NTPOLFN" 1823236 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-778 1810396 1819416 1820228 "NSUP" 1821812 NIL NSUP (NIL T) -8 NIL NIL NIL) (-777 1810028 1810085 1810194 "NSUP2" 1810333 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-776 1799984 1809802 1809935 "NSMP" 1809940 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-775 1798416 1798717 1799074 "NREP" 1799672 NIL NREP (NIL T) -7 NIL NIL NIL) (-774 1797007 1797259 1797617 "NPCOEF" 1798159 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-773 1796073 1796188 1796404 "NORMRETR" 1796888 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-772 1794114 1794404 1794813 "NORMPK" 1795781 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-771 1793799 1793827 1793951 "NORMMA" 1794080 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-770 1793599 1793756 1793785 "NONE" 1793790 T NONE (NIL) -8 NIL NIL NIL) (-769 1793388 1793417 1793486 "NONE1" 1793563 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-768 1792871 1792933 1793119 "NODE1" 1793320 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-767 1791114 1791965 1792220 "NNI" 1792567 T NNI (NIL) -8 NIL NIL 1792802) (-766 1789534 1789847 1790211 "NLINSOL" 1790782 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-765 1785775 1786770 1787669 "NIPROB" 1788655 T NIPROB (NIL) -8 NIL NIL NIL) (-764 1784532 1784766 1785068 "NFINTBAS" 1785537 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-763 1783706 1784182 1784223 "NETCLT" 1784395 NIL NETCLT (NIL T) -9 NIL 1784477 NIL) (-762 1782414 1782645 1782926 "NCODIV" 1783474 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-761 1782176 1782213 1782288 "NCNTFRAC" 1782371 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-760 1780356 1780720 1781140 "NCEP" 1781801 NIL NCEP (NIL T) -7 NIL NIL NIL) (-759 1779227 1780000 1780028 "NASRING" 1780138 T NASRING (NIL) -9 NIL 1780218 NIL) (-758 1779022 1779066 1779160 "NASRING-" 1779165 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-757 1778149 1778674 1778702 "NARNG" 1778819 T NARNG (NIL) -9 NIL 1778910 NIL) (-756 1777841 1777908 1778042 "NARNG-" 1778047 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-755 1776720 1776927 1777162 "NAGSP" 1777626 T NAGSP (NIL) -7 NIL NIL NIL) (-754 1767992 1769676 1771349 "NAGS" 1775067 T NAGS (NIL) -7 NIL NIL NIL) (-753 1766540 1766848 1767179 "NAGF07" 1767681 T NAGF07 (NIL) -7 NIL NIL NIL) (-752 1761078 1762369 1763676 "NAGF04" 1765253 T NAGF04 (NIL) -7 NIL NIL NIL) (-751 1754046 1755660 1757293 "NAGF02" 1759465 T NAGF02 (NIL) -7 NIL NIL NIL) (-750 1749270 1750370 1751487 "NAGF01" 1752949 T NAGF01 (NIL) -7 NIL NIL NIL) (-749 1742898 1744464 1746049 "NAGE04" 1747705 T NAGE04 (NIL) -7 NIL NIL NIL) (-748 1734067 1736188 1738318 "NAGE02" 1740788 T NAGE02 (NIL) -7 NIL NIL NIL) (-747 1730020 1730967 1731931 "NAGE01" 1733123 T NAGE01 (NIL) -7 NIL NIL NIL) (-746 1727815 1728349 1728907 "NAGD03" 1729482 T NAGD03 (NIL) -7 NIL NIL NIL) (-745 1719565 1721493 1723447 "NAGD02" 1725881 T NAGD02 (NIL) -7 NIL NIL NIL) (-744 1713376 1714801 1716241 "NAGD01" 1718145 T NAGD01 (NIL) -7 NIL NIL NIL) (-743 1709585 1710407 1711244 "NAGC06" 1712559 T NAGC06 (NIL) -7 NIL NIL NIL) (-742 1708050 1708382 1708738 "NAGC05" 1709249 T NAGC05 (NIL) -7 NIL NIL NIL) (-741 1707426 1707545 1707689 "NAGC02" 1707926 T NAGC02 (NIL) -7 NIL NIL NIL) (-740 1706460 1707043 1707083 "NAALG" 1707162 NIL NAALG (NIL T) -9 NIL 1707223 NIL) (-739 1706295 1706324 1706414 "NAALG-" 1706419 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-738 1700245 1701353 1702540 "MULTSQFR" 1705191 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-737 1699564 1699639 1699823 "MULTFACT" 1700157 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-736 1692622 1696527 1696580 "MTSCAT" 1697650 NIL MTSCAT (NIL T T) -9 NIL 1698164 NIL) (-735 1692334 1692388 1692480 "MTHING" 1692562 NIL MTHING (NIL T) -7 NIL NIL NIL) (-734 1692126 1692159 1692219 "MSYSCMD" 1692294 T MSYSCMD (NIL) -7 NIL NIL NIL) (-733 1688208 1690881 1691201 "MSET" 1691839 NIL MSET (NIL T) -8 NIL NIL NIL) (-732 1685277 1687769 1687810 "MSETAGG" 1687815 NIL MSETAGG (NIL T) -9 NIL 1687849 NIL) (-731 1681118 1682656 1683401 "MRING" 1684577 NIL MRING (NIL T T) -8 NIL NIL NIL) (-730 1680684 1680751 1680882 "MRF2" 1681045 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-729 1680302 1680337 1680481 "MRATFAC" 1680643 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-728 1677914 1678209 1678640 "MPRFF" 1680007 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-727 1671939 1677768 1677865 "MPOLY" 1677870 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-726 1671429 1671464 1671672 "MPCPF" 1671898 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-725 1670943 1670986 1671170 "MPC3" 1671380 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-724 1670138 1670219 1670440 "MPC2" 1670858 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-723 1668439 1668776 1669166 "MONOTOOL" 1669798 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-722 1667664 1667981 1668009 "MONOID" 1668228 T MONOID (NIL) -9 NIL 1668375 NIL) (-721 1667210 1667329 1667510 "MONOID-" 1667515 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-720 1658034 1663977 1664036 "MONOGEN" 1664710 NIL MONOGEN (NIL T T) -9 NIL 1665166 NIL) (-719 1655252 1655987 1656987 "MONOGEN-" 1657106 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-718 1654085 1654531 1654559 "MONADWU" 1654951 T MONADWU (NIL) -9 NIL 1655189 NIL) (-717 1653457 1653616 1653864 "MONADWU-" 1653869 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-716 1652816 1653060 1653088 "MONAD" 1653295 T MONAD (NIL) -9 NIL 1653407 NIL) (-715 1652501 1652579 1652711 "MONAD-" 1652716 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-714 1650790 1651414 1651693 "MOEBIUS" 1652254 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-713 1650158 1650560 1650600 "MODULE" 1650605 NIL MODULE (NIL T) -9 NIL 1650631 NIL) (-712 1649726 1649822 1650012 "MODULE-" 1650017 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-711 1647406 1648090 1648417 "MODRING" 1649550 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-710 1644350 1645511 1646032 "MODOP" 1646935 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-709 1642938 1643417 1643694 "MODMONOM" 1644213 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-708 1632708 1641229 1641643 "MODMON" 1642575 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-707 1629864 1631552 1631828 "MODFIELD" 1632583 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-706 1628841 1629145 1629335 "MMLFORM" 1629694 T MMLFORM (NIL) -8 NIL NIL NIL) (-705 1628367 1628410 1628589 "MMAP" 1628792 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-704 1626550 1627317 1627358 "MLO" 1627781 NIL MLO (NIL T) -9 NIL 1628023 NIL) (-703 1623916 1624432 1625034 "MLIFT" 1626031 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-702 1623307 1623391 1623545 "MKUCFUNC" 1623827 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-701 1622906 1622976 1623099 "MKRECORD" 1623230 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-700 1621953 1622115 1622343 "MKFUNC" 1622717 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-699 1621341 1621445 1621601 "MKFLCFN" 1621836 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-698 1620618 1620720 1620905 "MKBCFUNC" 1621234 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-697 1617325 1620172 1620308 "MINT" 1620502 T MINT (NIL) -8 NIL NIL NIL) (-696 1616137 1616380 1616657 "MHROWRED" 1617080 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-695 1611517 1614672 1615077 "MFLOAT" 1615752 T MFLOAT (NIL) -8 NIL NIL NIL) (-694 1610874 1610950 1611121 "MFINFACT" 1611429 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-693 1607189 1608037 1608921 "MESH" 1610010 T MESH (NIL) -7 NIL NIL NIL) (-692 1605579 1605891 1606244 "MDDFACT" 1606876 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-691 1602374 1604738 1604779 "MDAGG" 1605034 NIL MDAGG (NIL T) -9 NIL 1605177 NIL) (-690 1592117 1601667 1601874 "MCMPLX" 1602187 T MCMPLX (NIL) -8 NIL NIL NIL) (-689 1591258 1591404 1591604 "MCDEN" 1591966 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-688 1589148 1589418 1589798 "MCALCFN" 1590988 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-687 1588073 1588313 1588546 "MAYBE" 1588954 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-686 1585685 1586208 1586770 "MATSTOR" 1587544 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-685 1581642 1585057 1585305 "MATRIX" 1585470 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-684 1577406 1578115 1578851 "MATLIN" 1580999 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-683 1567512 1570698 1570775 "MATCAT" 1575655 NIL MATCAT (NIL T T T) -9 NIL 1577072 NIL) (-682 1563868 1564889 1566245 "MATCAT-" 1566250 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-681 1562462 1562615 1562948 "MATCAT2" 1563703 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-680 1560574 1560898 1561282 "MAPPKG3" 1562137 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-679 1559555 1559728 1559950 "MAPPKG2" 1560398 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-678 1558054 1558338 1558665 "MAPPKG1" 1559261 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-677 1557133 1557460 1557637 "MAPPAST" 1557897 T MAPPAST (NIL) -8 NIL NIL NIL) (-676 1556744 1556802 1556925 "MAPHACK3" 1557069 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-675 1556336 1556397 1556511 "MAPHACK2" 1556676 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-674 1555773 1555877 1556019 "MAPHACK1" 1556227 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-673 1553852 1554473 1554777 "MAGMA" 1555501 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-672 1553331 1553576 1553667 "MACROAST" 1553781 T MACROAST (NIL) -8 NIL NIL NIL) (-671 1549749 1551570 1552031 "M3D" 1552903 NIL M3D (NIL T) -8 NIL NIL NIL) (-670 1543855 1548118 1548159 "LZSTAGG" 1548941 NIL LZSTAGG (NIL T) -9 NIL 1549236 NIL) (-669 1539812 1540986 1542443 "LZSTAGG-" 1542448 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-668 1536899 1537703 1538190 "LWORD" 1539357 NIL LWORD (NIL T) -8 NIL NIL NIL) (-667 1536475 1536703 1536778 "LSTAST" 1536844 T LSTAST (NIL) -8 NIL NIL NIL) (-666 1529641 1536246 1536380 "LSQM" 1536385 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-665 1528865 1529004 1529232 "LSPP" 1529496 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-664 1526677 1526978 1527434 "LSMP" 1528554 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-663 1523456 1524130 1524860 "LSMP1" 1525979 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-662 1517333 1522623 1522664 "LSAGG" 1522726 NIL LSAGG (NIL T) -9 NIL 1522804 NIL) (-661 1514028 1514952 1516165 "LSAGG-" 1516170 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-660 1511627 1513172 1513421 "LPOLY" 1513823 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-659 1511209 1511294 1511417 "LPEFRAC" 1511536 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-658 1509529 1510303 1510556 "LO" 1511041 NIL LO (NIL T T T) -8 NIL NIL NIL) (-657 1509181 1509293 1509321 "LOGIC" 1509432 T LOGIC (NIL) -9 NIL 1509513 NIL) (-656 1509043 1509066 1509137 "LOGIC-" 1509142 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-655 1508236 1508376 1508569 "LODOOPS" 1508899 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-654 1505659 1508152 1508218 "LODO" 1508223 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-653 1504197 1504432 1504785 "LODOF" 1505406 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-652 1500519 1502950 1502991 "LODOCAT" 1503429 NIL LODOCAT (NIL T) -9 NIL 1503640 NIL) (-651 1500252 1500310 1500437 "LODOCAT-" 1500442 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-650 1497572 1500093 1500211 "LODO2" 1500216 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-649 1495007 1497509 1497554 "LODO1" 1497559 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-648 1493867 1494032 1494344 "LODEEF" 1494830 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-647 1489106 1491997 1492038 "LNAGG" 1492985 NIL LNAGG (NIL T) -9 NIL 1493429 NIL) (-646 1488253 1488467 1488809 "LNAGG-" 1488814 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-645 1484389 1485178 1485817 "LMOPS" 1487668 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-644 1483760 1484146 1484187 "LMODULE" 1484248 NIL LMODULE (NIL T) -9 NIL 1484290 NIL) (-643 1480958 1483405 1483528 "LMDICT" 1483670 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-642 1480657 1480866 1480926 "LITERAL" 1480931 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-641 1473840 1479603 1479901 "LIST" 1480392 NIL LIST (NIL T) -8 NIL NIL NIL) (-640 1473365 1473439 1473578 "LIST3" 1473760 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-639 1472372 1472550 1472778 "LIST2" 1473183 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-638 1470506 1470818 1471217 "LIST2MAP" 1472019 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-637 1469202 1469872 1469913 "LINEXP" 1470168 NIL LINEXP (NIL T) -9 NIL 1470317 NIL) (-636 1467849 1468109 1468406 "LINDEP" 1468954 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-635 1464616 1465335 1466112 "LIMITRF" 1467104 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-634 1462891 1463187 1463603 "LIMITPS" 1464311 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-633 1457319 1462402 1462630 "LIE" 1462712 NIL LIE (NIL T T) -8 NIL NIL NIL) (-632 1456342 1456811 1456851 "LIECAT" 1456991 NIL LIECAT (NIL T) -9 NIL 1457142 NIL) (-631 1456183 1456210 1456298 "LIECAT-" 1456303 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-630 1448679 1455632 1455797 "LIB" 1456038 T LIB (NIL) -8 NIL NIL NIL) (-629 1444314 1445197 1446132 "LGROBP" 1447796 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-628 1442180 1442454 1442816 "LF" 1444035 NIL LF (NIL T T) -7 NIL NIL NIL) (-627 1441020 1441712 1441740 "LFCAT" 1441947 T LFCAT (NIL) -9 NIL 1442086 NIL) (-626 1437922 1438552 1439240 "LEXTRIPK" 1440384 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-625 1434666 1435492 1435995 "LEXP" 1437502 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-624 1434142 1434387 1434479 "LETAST" 1434594 T LETAST (NIL) -8 NIL NIL NIL) (-623 1432540 1432853 1433254 "LEADCDET" 1433824 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-622 1431730 1431804 1432033 "LAZM3PK" 1432461 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-621 1426647 1429807 1430345 "LAUPOL" 1431242 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-620 1426212 1426256 1426424 "LAPLACE" 1426597 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-619 1424151 1425313 1425564 "LA" 1426045 NIL LA (NIL T T T) -8 NIL NIL NIL) (-618 1423198 1423782 1423823 "LALG" 1423885 NIL LALG (NIL T) -9 NIL 1423944 NIL) (-617 1422912 1422971 1423107 "LALG-" 1423112 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-616 1422747 1422771 1422812 "KVTFROM" 1422874 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-615 1421520 1421964 1422193 "KTVLOGIC" 1422538 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-614 1421355 1421379 1421420 "KRCFROM" 1421482 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-613 1420259 1420446 1420745 "KOVACIC" 1421155 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-612 1420094 1420118 1420159 "KONVERT" 1420221 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-611 1419929 1419953 1419994 "KOERCE" 1420056 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-610 1417635 1418423 1418816 "KERNEL" 1419568 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-609 1417137 1417218 1417348 "KERNEL2" 1417549 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-608 1410907 1415676 1415730 "KDAGG" 1416107 NIL KDAGG (NIL T T) -9 NIL 1416313 NIL) (-607 1410436 1410560 1410765 "KDAGG-" 1410770 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-606 1403584 1410097 1410252 "KAFILE" 1410314 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-605 1398012 1403095 1403323 "JORDAN" 1403405 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-604 1397391 1397661 1397782 "JOINAST" 1397911 T JOINAST (NIL) -8 NIL NIL NIL) (-603 1397237 1397296 1397351 "JAVACODE" 1397356 T JAVACODE (NIL) -8 NIL NIL NIL) (-602 1393489 1395442 1395496 "IXAGG" 1396425 NIL IXAGG (NIL T T) -9 NIL 1396884 NIL) (-601 1392408 1392714 1393133 "IXAGG-" 1393138 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-600 1387940 1392330 1392389 "IVECTOR" 1392394 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-599 1386706 1386943 1387209 "ITUPLE" 1387707 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-598 1385142 1385319 1385625 "ITRIGMNP" 1386528 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-597 1383887 1384091 1384374 "ITFUN3" 1384918 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-596 1383519 1383576 1383685 "ITFUN2" 1383824 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-595 1381321 1382381 1382680 "ITAYLOR" 1383253 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-594 1370266 1375458 1376621 "ISUPS" 1380191 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-593 1369370 1369510 1369746 "ISUMP" 1370113 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-592 1364584 1369171 1369250 "ISTRING" 1369323 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-591 1364060 1364305 1364397 "ISAST" 1364512 T ISAST (NIL) -8 NIL NIL NIL) (-590 1363270 1363351 1363567 "IRURPK" 1363974 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-589 1362206 1362407 1362647 "IRSN" 1363050 T IRSN (NIL) -7 NIL NIL NIL) (-588 1360235 1360590 1361026 "IRRF2F" 1361844 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-587 1359982 1360020 1360096 "IRREDFFX" 1360191 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-586 1358597 1358856 1359155 "IROOT" 1359715 NIL IROOT (NIL T) -7 NIL NIL NIL) (-585 1355201 1356281 1356973 "IR" 1357937 NIL IR (NIL T) -8 NIL NIL NIL) (-584 1352814 1353309 1353875 "IR2" 1354679 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-583 1351886 1351999 1352220 "IR2F" 1352697 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-582 1351677 1351711 1351771 "IPRNTPK" 1351846 T IPRNTPK (NIL) -7 NIL NIL NIL) (-581 1348257 1351566 1351635 "IPF" 1351640 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-580 1346584 1348182 1348239 "IPADIC" 1348244 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-579 1345896 1346144 1346274 "IP4ADDR" 1346474 T IP4ADDR (NIL) -8 NIL NIL NIL) (-578 1345369 1345600 1345710 "IOMODE" 1345806 T IOMODE (NIL) -8 NIL NIL NIL) (-577 1344442 1344966 1345093 "IOBFILE" 1345262 T IOBFILE (NIL) -8 NIL NIL NIL) (-576 1343930 1344346 1344374 "IOBCON" 1344379 T IOBCON (NIL) -9 NIL 1344400 NIL) (-575 1343427 1343485 1343675 "INVLAPLA" 1343866 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-574 1333075 1335429 1337815 "INTTR" 1341091 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-573 1329419 1330161 1331025 "INTTOOLS" 1332260 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-572 1329005 1329096 1329213 "INTSLPE" 1329322 T INTSLPE (NIL) -7 NIL NIL NIL) (-571 1326959 1328928 1328987 "INTRVL" 1328992 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-570 1324561 1325073 1325648 "INTRF" 1326444 NIL INTRF (NIL T) -7 NIL NIL NIL) (-569 1323972 1324069 1324211 "INTRET" 1324459 NIL INTRET (NIL T) -7 NIL NIL NIL) (-568 1321969 1322358 1322828 "INTRAT" 1323580 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-567 1319197 1319780 1320406 "INTPM" 1321454 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-566 1315899 1316499 1317244 "INTPAF" 1318583 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-565 1311078 1312040 1313091 "INTPACK" 1314868 T INTPACK (NIL) -7 NIL NIL NIL) (-564 1307955 1310807 1310934 "INT" 1310971 T INT (NIL) -8 NIL NIL NIL) (-563 1307207 1307359 1307567 "INTHERTR" 1307797 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-562 1306646 1306726 1306914 "INTHERAL" 1307121 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-561 1304492 1304935 1305392 "INTHEORY" 1306209 T INTHEORY (NIL) -7 NIL NIL NIL) (-560 1295800 1297421 1299200 "INTG0" 1302844 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-559 1276373 1281163 1285973 "INTFTBL" 1291010 T INTFTBL (NIL) -8 NIL NIL NIL) (-558 1275622 1275760 1275933 "INTFACT" 1276232 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-557 1273007 1273453 1274017 "INTEF" 1275176 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-556 1271440 1272179 1272207 "INTDOM" 1272508 T INTDOM (NIL) -9 NIL 1272715 NIL) (-555 1270809 1270983 1271225 "INTDOM-" 1271230 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-554 1267269 1269193 1269247 "INTCAT" 1270046 NIL INTCAT (NIL T) -9 NIL 1270366 NIL) (-553 1266741 1266844 1266972 "INTBIT" 1267161 T INTBIT (NIL) -7 NIL NIL NIL) (-552 1265412 1265566 1265880 "INTALG" 1266586 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-551 1264869 1264959 1265129 "INTAF" 1265316 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-550 1258212 1264679 1264819 "INTABL" 1264824 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-549 1257516 1257982 1258047 "INT8" 1258081 T INT8 (NIL) -8 NIL NIL 1258126) (-548 1256819 1257285 1257350 "INT64" 1257384 T INT64 (NIL) -8 NIL NIL 1257429) (-547 1256122 1256588 1256653 "INT32" 1256687 T INT32 (NIL) -8 NIL NIL 1256732) (-546 1255425 1255891 1255956 "INT16" 1255990 T INT16 (NIL) -8 NIL NIL 1256035) (-545 1250405 1253114 1253142 "INS" 1254076 T INS (NIL) -9 NIL 1254741 NIL) (-544 1247645 1248416 1249390 "INS-" 1249463 NIL INS- (NIL T) -8 NIL NIL NIL) (-543 1246420 1246647 1246945 "INPSIGN" 1247398 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-542 1245538 1245655 1245852 "INPRODPF" 1246300 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-541 1244432 1244549 1244786 "INPRODFF" 1245418 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-540 1243432 1243584 1243844 "INNMFACT" 1244268 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-539 1242629 1242726 1242914 "INMODGCD" 1243331 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-538 1241137 1241382 1241706 "INFSP" 1242374 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-537 1240321 1240438 1240621 "INFPROD0" 1241017 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-536 1237176 1238386 1238901 "INFORM" 1239814 T INFORM (NIL) -8 NIL NIL NIL) (-535 1236786 1236846 1236944 "INFORM1" 1237111 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-534 1236309 1236398 1236512 "INFINITY" 1236692 T INFINITY (NIL) -7 NIL NIL NIL) (-533 1235485 1236029 1236130 "INETCLTS" 1236228 T INETCLTS (NIL) -8 NIL NIL NIL) (-532 1234101 1234351 1234672 "INEP" 1235233 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-531 1233350 1233998 1234063 "INDE" 1234068 NIL INDE (NIL T) -8 NIL NIL NIL) (-530 1232914 1232982 1233099 "INCRMAPS" 1233277 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-529 1231732 1232183 1232389 "INBFILE" 1232728 T INBFILE (NIL) -8 NIL NIL NIL) (-528 1227032 1227968 1228912 "INBFF" 1230820 NIL INBFF (NIL T) -7 NIL NIL NIL) (-527 1225940 1226209 1226237 "INBCON" 1226750 T INBCON (NIL) -9 NIL 1227016 NIL) (-526 1225192 1225415 1225691 "INBCON-" 1225696 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-525 1224671 1224916 1225007 "INAST" 1225121 T INAST (NIL) -8 NIL NIL NIL) (-524 1224098 1224350 1224456 "IMPTAST" 1224585 T IMPTAST (NIL) -8 NIL NIL NIL) (-523 1220544 1223942 1224046 "IMATRIX" 1224051 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-522 1219256 1219379 1219694 "IMATQF" 1220400 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-521 1217476 1217703 1218040 "IMATLIN" 1219012 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-520 1212054 1217400 1217458 "ILIST" 1217463 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-519 1209959 1211914 1212027 "IIARRAY2" 1212032 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-518 1205357 1209870 1209934 "IFF" 1209939 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-517 1204704 1204974 1205090 "IFAST" 1205261 T IFAST (NIL) -8 NIL NIL NIL) (-516 1199699 1203996 1204184 "IFARRAY" 1204561 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-515 1198879 1199603 1199676 "IFAMON" 1199681 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-514 1198463 1198528 1198582 "IEVALAB" 1198789 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-513 1198138 1198206 1198366 "IEVALAB-" 1198371 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-512 1197769 1198052 1198115 "IDPO" 1198120 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-511 1197019 1197658 1197733 "IDPOAMS" 1197738 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-510 1196326 1196908 1196983 "IDPOAM" 1196988 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-509 1195385 1195661 1195714 "IDPC" 1196127 NIL IDPC (NIL T T) -9 NIL 1196276 NIL) (-508 1194854 1195277 1195350 "IDPAM" 1195355 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-507 1194230 1194746 1194819 "IDPAG" 1194824 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-506 1193875 1194066 1194141 "IDENT" 1194175 T IDENT (NIL) -8 NIL NIL NIL) (-505 1190130 1190978 1191873 "IDECOMP" 1193032 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-504 1182967 1184053 1185100 "IDEAL" 1189166 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-503 1182131 1182243 1182442 "ICDEN" 1182851 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-502 1181202 1181611 1181758 "ICARD" 1182004 T ICARD (NIL) -8 NIL NIL NIL) (-501 1179262 1179575 1179980 "IBPTOOLS" 1180879 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-500 1174869 1178882 1178995 "IBITS" 1179181 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-499 1171592 1172168 1172863 "IBATOOL" 1174286 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-498 1169371 1169833 1170366 "IBACHIN" 1171127 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-497 1167200 1169217 1169320 "IARRAY2" 1169325 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-496 1163306 1167126 1167183 "IARRAY1" 1167188 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-495 1157263 1161718 1162199 "IAN" 1162845 T IAN (NIL) -8 NIL NIL NIL) (-494 1156774 1156831 1157004 "IALGFACT" 1157200 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-493 1156302 1156415 1156443 "HYPCAT" 1156650 T HYPCAT (NIL) -9 NIL NIL NIL) (-492 1155840 1155957 1156143 "HYPCAT-" 1156148 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-491 1155435 1155635 1155718 "HOSTNAME" 1155777 T HOSTNAME (NIL) -8 NIL NIL NIL) (-490 1155280 1155317 1155358 "HOMOTOP" 1155363 NIL HOMOTOP (NIL T) -9 NIL 1155396 NIL) (-489 1151912 1153290 1153331 "HOAGG" 1154312 NIL HOAGG (NIL T) -9 NIL 1154991 NIL) (-488 1150506 1150905 1151431 "HOAGG-" 1151436 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-487 1144510 1150101 1150250 "HEXADEC" 1150377 T HEXADEC (NIL) -8 NIL NIL NIL) (-486 1143258 1143480 1143743 "HEUGCD" 1144287 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-485 1142334 1143095 1143225 "HELLFDIV" 1143230 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-484 1140513 1142111 1142199 "HEAP" 1142278 NIL HEAP (NIL T) -8 NIL NIL NIL) (-483 1139776 1140065 1140199 "HEADAST" 1140399 T HEADAST (NIL) -8 NIL NIL NIL) (-482 1133642 1139691 1139753 "HDP" 1139758 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-481 1127358 1133277 1133429 "HDMP" 1133543 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-480 1126682 1126822 1126986 "HB" 1127214 T HB (NIL) -7 NIL NIL NIL) (-479 1120068 1126528 1126632 "HASHTBL" 1126637 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-478 1119544 1119789 1119881 "HASAST" 1119996 T HASAST (NIL) -8 NIL NIL NIL) (-477 1117322 1119166 1119348 "HACKPI" 1119382 T HACKPI (NIL) -8 NIL NIL NIL) (-476 1112990 1117175 1117288 "GTSET" 1117293 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-475 1106405 1112868 1112966 "GSTBL" 1112971 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-474 1098683 1105436 1105701 "GSERIES" 1106196 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-473 1097824 1098241 1098269 "GROUP" 1098472 T GROUP (NIL) -9 NIL 1098606 NIL) (-472 1097190 1097349 1097600 "GROUP-" 1097605 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-471 1095557 1095878 1096265 "GROEBSOL" 1096867 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-470 1094471 1094759 1094810 "GRMOD" 1095339 NIL GRMOD (NIL T T) -9 NIL 1095507 NIL) (-469 1094239 1094275 1094403 "GRMOD-" 1094408 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-468 1089529 1090593 1091593 "GRIMAGE" 1093259 T GRIMAGE (NIL) -8 NIL NIL NIL) (-467 1087995 1088256 1088580 "GRDEF" 1089225 T GRDEF (NIL) -7 NIL NIL NIL) (-466 1087439 1087555 1087696 "GRAY" 1087874 T GRAY (NIL) -7 NIL NIL NIL) (-465 1086626 1087032 1087083 "GRALG" 1087236 NIL GRALG (NIL T T) -9 NIL 1087329 NIL) (-464 1086287 1086360 1086523 "GRALG-" 1086528 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-463 1083064 1085872 1086050 "GPOLSET" 1086194 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-462 1082418 1082475 1082733 "GOSPER" 1083001 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-461 1078150 1078856 1079382 "GMODPOL" 1082117 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-460 1077155 1077339 1077577 "GHENSEL" 1077962 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-459 1071206 1072049 1073076 "GENUPS" 1076239 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-458 1070903 1070954 1071043 "GENUFACT" 1071149 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-457 1070315 1070392 1070557 "GENPGCD" 1070821 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-456 1069789 1069824 1070037 "GENMFACT" 1070274 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-455 1068355 1068612 1068919 "GENEEZ" 1069532 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-454 1062229 1067966 1068128 "GDMP" 1068278 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-453 1051571 1056000 1057106 "GCNAALG" 1061212 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-452 1049964 1050826 1050854 "GCDDOM" 1051109 T GCDDOM (NIL) -9 NIL 1051266 NIL) (-451 1049434 1049561 1049776 "GCDDOM-" 1049781 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-450 1048106 1048291 1048595 "GB" 1049213 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-449 1036722 1039052 1041444 "GBINTERN" 1045797 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-448 1034559 1034851 1035272 "GBF" 1036397 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-447 1033340 1033505 1033772 "GBEUCLID" 1034375 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-446 1032689 1032814 1032963 "GAUSSFAC" 1033211 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-445 1031056 1031358 1031672 "GALUTIL" 1032408 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-444 1029364 1029638 1029962 "GALPOLYU" 1030783 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-443 1026729 1027019 1027426 "GALFACTU" 1029061 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-442 1018535 1020034 1021642 "GALFACT" 1025161 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-441 1015923 1016581 1016609 "FVFUN" 1017765 T FVFUN (NIL) -9 NIL 1018485 NIL) (-440 1015189 1015371 1015399 "FVC" 1015690 T FVC (NIL) -9 NIL 1015873 NIL) (-439 1014832 1015014 1015082 "FUNDESC" 1015141 T FUNDESC (NIL) -8 NIL NIL NIL) (-438 1014447 1014629 1014710 "FUNCTION" 1014784 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-437 1012191 1012769 1013235 "FT" 1014001 T FT (NIL) -8 NIL NIL NIL) (-436 1010982 1011492 1011695 "FTEM" 1012008 T FTEM (NIL) -8 NIL NIL NIL) (-435 1009238 1009527 1009931 "FSUPFACT" 1010673 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-434 1007635 1007924 1008256 "FST" 1008926 T FST (NIL) -8 NIL NIL NIL) (-433 1006806 1006912 1007107 "FSRED" 1007517 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-432 1005484 1005740 1006094 "FSPRMELT" 1006521 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-431 1002569 1003007 1003506 "FSPECF" 1005047 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-430 984596 993072 993112 "FS" 996960 NIL FS (NIL T) -9 NIL 999249 NIL) (-429 973243 976236 980292 "FS-" 980589 NIL FS- (NIL T T) -8 NIL NIL NIL) (-428 972757 972811 972988 "FSINT" 973184 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-427 971049 971750 972053 "FSERIES" 972536 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-426 970063 970179 970410 "FSCINT" 970929 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-425 966271 969007 969048 "FSAGG" 969418 NIL FSAGG (NIL T) -9 NIL 969677 NIL) (-424 964033 964634 965430 "FSAGG-" 965525 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-423 963075 963218 963445 "FSAGG2" 963886 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-422 960729 961009 961563 "FS2UPS" 962793 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-421 960311 960354 960509 "FS2" 960680 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-420 959168 959339 959648 "FS2EXPXP" 960136 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-419 958594 958709 958861 "FRUTIL" 959048 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-418 950007 954089 955447 "FR" 957268 NIL FR (NIL T) -8 NIL NIL NIL) (-417 945055 947725 947765 "FRNAALG" 949161 NIL FRNAALG (NIL T) -9 NIL 949768 NIL) (-416 940728 941804 943079 "FRNAALG-" 943829 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-415 940366 940409 940536 "FRNAAF2" 940679 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-414 938746 939220 939515 "FRMOD" 940178 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-413 936497 937129 937446 "FRIDEAL" 938537 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-412 935692 935779 936068 "FRIDEAL2" 936404 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-411 934825 935239 935280 "FRETRCT" 935285 NIL FRETRCT (NIL T) -9 NIL 935461 NIL) (-410 933937 934168 934519 "FRETRCT-" 934524 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-409 931115 932325 932384 "FRAMALG" 933266 NIL FRAMALG (NIL T T) -9 NIL 933558 NIL) (-408 929249 929704 930334 "FRAMALG-" 930557 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-407 923170 928724 929000 "FRAC" 929005 NIL FRAC (NIL T) -8 NIL NIL NIL) (-406 922806 922863 922970 "FRAC2" 923107 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-405 922442 922499 922606 "FR2" 922743 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-404 917080 919967 919995 "FPS" 921114 T FPS (NIL) -9 NIL 921671 NIL) (-403 916529 916638 916802 "FPS-" 916948 NIL FPS- (NIL T) -8 NIL NIL NIL) (-402 913949 915618 915646 "FPC" 915871 T FPC (NIL) -9 NIL 916013 NIL) (-401 913742 913782 913879 "FPC-" 913884 NIL FPC- (NIL T) -8 NIL NIL NIL) (-400 912532 913230 913271 "FPATMAB" 913276 NIL FPATMAB (NIL T) -9 NIL 913428 NIL) (-399 910205 910708 911134 "FPARFRAC" 912169 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-398 905598 906097 906779 "FORTRAN" 909637 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-397 903314 903814 904353 "FORT" 905079 T FORT (NIL) -7 NIL NIL NIL) (-396 900990 901552 901580 "FORTFN" 902640 T FORTFN (NIL) -9 NIL 903264 NIL) (-395 900754 900804 900832 "FORTCAT" 900891 T FORTCAT (NIL) -9 NIL 900953 NIL) (-394 898860 899370 899760 "FORMULA" 900384 T FORMULA (NIL) -8 NIL NIL NIL) (-393 898648 898678 898747 "FORMULA1" 898824 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-392 898171 898223 898396 "FORDER" 898590 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-391 897267 897431 897624 "FOP" 897998 T FOP (NIL) -7 NIL NIL NIL) (-390 895848 896547 896721 "FNLA" 897149 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-389 894577 894992 895020 "FNCAT" 895480 T FNCAT (NIL) -9 NIL 895740 NIL) (-388 894116 894536 894564 "FNAME" 894569 T FNAME (NIL) -8 NIL NIL NIL) (-387 892745 893708 893736 "FMTC" 893741 T FMTC (NIL) -9 NIL 893777 NIL) (-386 889078 890268 890897 "FMONOID" 892149 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-385 888270 888820 888969 "FM" 888974 NIL FM (NIL T T) -8 NIL NIL NIL) (-384 885694 886340 886368 "FMFUN" 887512 T FMFUN (NIL) -9 NIL 888220 NIL) (-383 884963 885144 885172 "FMC" 885462 T FMC (NIL) -9 NIL 885644 NIL) (-382 882131 882991 883045 "FMCAT" 884240 NIL FMCAT (NIL T T) -9 NIL 884735 NIL) (-381 880997 881897 881997 "FM1" 882076 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-380 878771 879187 879681 "FLOATRP" 880548 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-379 872345 876500 877121 "FLOAT" 878170 T FLOAT (NIL) -8 NIL NIL NIL) (-378 869783 870283 870861 "FLOATCP" 871812 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-377 868558 869396 869437 "FLINEXP" 869442 NIL FLINEXP (NIL T) -9 NIL 869535 NIL) (-376 867712 867947 868275 "FLINEXP-" 868280 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-375 866788 866932 867156 "FLASORT" 867564 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-374 863979 864847 864899 "FLALG" 866126 NIL FLALG (NIL T T) -9 NIL 866593 NIL) (-373 857715 861465 861506 "FLAGG" 862768 NIL FLAGG (NIL T) -9 NIL 863420 NIL) (-372 856441 856780 857270 "FLAGG-" 857275 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-371 855483 855626 855853 "FLAGG2" 856294 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-370 852424 853432 853491 "FINRALG" 854619 NIL FINRALG (NIL T T) -9 NIL 855127 NIL) (-369 851584 851813 852152 "FINRALG-" 852157 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-368 850966 851203 851231 "FINITE" 851427 T FINITE (NIL) -9 NIL 851534 NIL) (-367 843398 845585 845625 "FINAALG" 849292 NIL FINAALG (NIL T) -9 NIL 850745 NIL) (-366 838730 839780 840924 "FINAALG-" 842303 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-365 838098 838485 838588 "FILE" 838660 NIL FILE (NIL T) -8 NIL NIL NIL) (-364 836756 837094 837148 "FILECAT" 837832 NIL FILECAT (NIL T T) -9 NIL 838048 NIL) (-363 834590 836118 836146 "FIELD" 836186 T FIELD (NIL) -9 NIL 836266 NIL) (-362 833210 833595 834106 "FIELD-" 834111 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-361 831060 831845 832192 "FGROUP" 832896 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-360 830150 830314 830534 "FGLMICPK" 830892 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-359 825982 830075 830132 "FFX" 830137 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-358 825583 825644 825779 "FFSLPE" 825915 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-357 821572 822355 823151 "FFPOLY" 824819 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-356 821076 821112 821321 "FFPOLY2" 821530 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-355 816919 820995 821058 "FFP" 821063 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-354 812317 816830 816894 "FF" 816899 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-353 807443 811660 811850 "FFNBX" 812171 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-352 802372 806578 806836 "FFNBP" 807297 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-351 797005 801656 801867 "FFNB" 802205 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-350 795837 796035 796350 "FFINTBAS" 796802 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-349 792030 794244 794272 "FFIELDC" 794892 T FFIELDC (NIL) -9 NIL 795268 NIL) (-348 790692 791063 791560 "FFIELDC-" 791565 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-347 790261 790307 790431 "FFHOM" 790634 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-346 787956 788443 788960 "FFF" 789776 NIL FFF (NIL T) -7 NIL NIL NIL) (-345 783574 787698 787799 "FFCGX" 787899 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-344 779195 783306 783413 "FFCGP" 783517 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-343 774378 778922 779030 "FFCG" 779131 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-342 756176 765249 765335 "FFCAT" 770500 NIL FFCAT (NIL T T T) -9 NIL 771951 NIL) (-341 751374 752421 753735 "FFCAT-" 754965 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-340 750785 750828 751063 "FFCAT2" 751325 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-339 739955 743757 744977 "FEXPR" 749637 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-338 738955 739390 739431 "FEVALAB" 739515 NIL FEVALAB (NIL T) -9 NIL 739776 NIL) (-337 738114 738324 738662 "FEVALAB-" 738667 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-336 736680 737497 737700 "FDIV" 738013 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-335 733720 734461 734576 "FDIVCAT" 736144 NIL FDIVCAT (NIL T T T T) -9 NIL 736581 NIL) (-334 733482 733509 733679 "FDIVCAT-" 733684 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-333 732702 732789 733066 "FDIV2" 733389 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-332 731388 731647 731936 "FCPAK1" 732433 T FCPAK1 (NIL) -7 NIL NIL NIL) (-331 730487 730888 731029 "FCOMP" 731279 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-330 714189 717637 721175 "FC" 726969 T FC (NIL) -8 NIL NIL NIL) (-329 706733 710753 710793 "FAXF" 712595 NIL FAXF (NIL T) -9 NIL 713287 NIL) (-328 704009 704667 705492 "FAXF-" 705957 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-327 699061 703385 703561 "FARRAY" 703866 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-326 694280 696346 696399 "FAMR" 697422 NIL FAMR (NIL T T) -9 NIL 697882 NIL) (-325 693170 693472 693907 "FAMR-" 693912 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-324 692339 693092 693145 "FAMONOID" 693150 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-323 690125 690835 690888 "FAMONC" 691829 NIL FAMONC (NIL T T) -9 NIL 692215 NIL) (-322 688790 689879 690016 "FAGROUP" 690021 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-321 686585 686904 687307 "FACUTIL" 688471 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-320 685684 685869 686091 "FACTFUNC" 686395 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-319 678054 684935 685147 "EXPUPXS" 685540 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-318 675537 676077 676663 "EXPRTUBE" 677488 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-317 671731 672323 673060 "EXPRODE" 674876 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-316 657070 670386 670814 "EXPR" 671335 NIL EXPR (NIL T) -8 NIL NIL NIL) (-315 651477 652064 652877 "EXPR2UPS" 656368 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-314 651113 651170 651277 "EXPR2" 651414 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-313 642483 650245 650542 "EXPEXPAN" 650950 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-312 642283 642440 642469 "EXIT" 642474 T EXIT (NIL) -8 NIL NIL NIL) (-311 641763 642007 642098 "EXITAST" 642212 T EXITAST (NIL) -8 NIL NIL NIL) (-310 641390 641452 641565 "EVALCYC" 641695 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-309 640931 641049 641090 "EVALAB" 641260 NIL EVALAB (NIL T) -9 NIL 641364 NIL) (-308 640412 640534 640755 "EVALAB-" 640760 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-307 637846 639148 639176 "EUCDOM" 639731 T EUCDOM (NIL) -9 NIL 640081 NIL) (-306 636251 636693 637283 "EUCDOM-" 637288 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-305 623789 626549 629299 "ESTOOLS" 633521 T ESTOOLS (NIL) -7 NIL NIL NIL) (-304 623421 623478 623587 "ESTOOLS2" 623726 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-303 623172 623214 623294 "ESTOOLS1" 623373 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-302 617051 618805 618833 "ES" 621601 T ES (NIL) -9 NIL 623010 NIL) (-301 611998 613285 615102 "ES-" 615266 NIL ES- (NIL T) -8 NIL NIL NIL) (-300 608372 609133 609913 "ESCONT" 611238 T ESCONT (NIL) -7 NIL NIL NIL) (-299 608117 608149 608231 "ESCONT1" 608334 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-298 607792 607842 607942 "ES2" 608061 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-297 607422 607480 607589 "ES1" 607728 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-296 606638 606767 606943 "ERROR" 607266 T ERROR (NIL) -7 NIL NIL NIL) (-295 600030 606497 606588 "EQTBL" 606593 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-294 592533 595344 596793 "EQ" 598614 NIL -2077 (NIL T) -8 NIL NIL NIL) (-293 592165 592222 592331 "EQ2" 592470 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-292 587454 588503 589596 "EP" 591104 NIL EP (NIL T) -7 NIL NIL NIL) (-291 586054 586345 586651 "ENV" 587168 T ENV (NIL) -8 NIL NIL NIL) (-290 585199 585753 585781 "ENTIRER" 585786 T ENTIRER (NIL) -9 NIL 585832 NIL) (-289 581666 583154 583524 "EMR" 584998 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-288 580810 580995 581049 "ELTAGG" 581429 NIL ELTAGG (NIL T T) -9 NIL 581640 NIL) (-287 580529 580591 580732 "ELTAGG-" 580737 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-286 580318 580347 580401 "ELTAB" 580485 NIL ELTAB (NIL T T) -9 NIL NIL NIL) (-285 579444 579590 579789 "ELFUTS" 580169 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-284 579186 579242 579270 "ELEMFUN" 579375 T ELEMFUN (NIL) -9 NIL NIL NIL) (-283 579056 579077 579145 "ELEMFUN-" 579150 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-282 573900 577156 577197 "ELAGG" 578137 NIL ELAGG (NIL T) -9 NIL 578600 NIL) (-281 572185 572619 573282 "ELAGG-" 573287 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-280 570850 571128 571421 "ELABEXPR" 571912 T ELABEXPR (NIL) -8 NIL NIL NIL) (-279 563714 565517 566344 "EFUPXS" 570126 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-278 557164 558965 559775 "EFULS" 562990 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-277 554586 554944 555423 "EFSTRUC" 556796 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-276 543657 545223 546783 "EF" 553101 NIL EF (NIL T T) -7 NIL NIL NIL) (-275 542731 543142 543291 "EAB" 543528 T EAB (NIL) -8 NIL NIL NIL) (-274 541913 542690 542718 "E04UCFA" 542723 T E04UCFA (NIL) -8 NIL NIL NIL) (-273 541095 541872 541900 "E04NAFA" 541905 T E04NAFA (NIL) -8 NIL NIL NIL) (-272 540277 541054 541082 "E04MBFA" 541087 T E04MBFA (NIL) -8 NIL NIL NIL) (-271 539459 540236 540264 "E04JAFA" 540269 T E04JAFA (NIL) -8 NIL NIL NIL) (-270 538643 539418 539446 "E04GCFA" 539451 T E04GCFA (NIL) -8 NIL NIL NIL) (-269 537827 538602 538630 "E04FDFA" 538635 T E04FDFA (NIL) -8 NIL NIL NIL) (-268 537009 537786 537814 "E04DGFA" 537819 T E04DGFA (NIL) -8 NIL NIL NIL) (-267 531182 532534 533898 "E04AGNT" 535665 T E04AGNT (NIL) -7 NIL NIL NIL) (-266 529862 530368 530408 "DVARCAT" 530883 NIL DVARCAT (NIL T) -9 NIL 531082 NIL) (-265 529066 529278 529592 "DVARCAT-" 529597 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-264 521931 528865 528994 "DSMP" 528999 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-263 516713 517876 518944 "DROPT" 520883 T DROPT (NIL) -8 NIL NIL NIL) (-262 516378 516437 516535 "DROPT1" 516648 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-261 511493 512619 513756 "DROPT0" 515261 T DROPT0 (NIL) -7 NIL NIL NIL) (-260 509838 510163 510549 "DRAWPT" 511127 T DRAWPT (NIL) -7 NIL NIL NIL) (-259 504425 505348 506427 "DRAW" 508812 NIL DRAW (NIL T) -7 NIL NIL NIL) (-258 504058 504111 504229 "DRAWHACK" 504366 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-257 502789 503058 503349 "DRAWCX" 503787 T DRAWCX (NIL) -7 NIL NIL NIL) (-256 502304 502373 502524 "DRAWCURV" 502715 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-255 492772 494734 496849 "DRAWCFUN" 500209 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-254 489538 491467 491508 "DQAGG" 492137 NIL DQAGG (NIL T) -9 NIL 492410 NIL) (-253 477782 484516 484599 "DPOLCAT" 486451 NIL DPOLCAT (NIL T T T T) -9 NIL 486996 NIL) (-252 472618 473967 475925 "DPOLCAT-" 475930 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-251 465740 472479 472577 "DPMO" 472582 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-250 458765 465520 465687 "DPMM" 465692 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-249 458370 458684 458732 "DOMCTOR" 458737 T DOMCTOR (NIL) -8 NIL NIL NIL) (-248 457638 457892 458029 "DOMAIN" 458253 T DOMAIN (NIL) -8 NIL NIL NIL) (-247 451354 457273 457425 "DMP" 457539 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-246 450954 451010 451154 "DLP" 451292 NIL DLP (NIL T) -7 NIL NIL NIL) (-245 444776 450281 450471 "DLIST" 450796 NIL DLIST (NIL T) -8 NIL NIL NIL) (-244 441573 443629 443670 "DLAGG" 444220 NIL DLAGG (NIL T) -9 NIL 444450 NIL) (-243 440352 441016 441044 "DIVRING" 441136 T DIVRING (NIL) -9 NIL 441219 NIL) (-242 439589 439779 440079 "DIVRING-" 440084 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-241 437691 438048 438454 "DISPLAY" 439203 T DISPLAY (NIL) -7 NIL NIL NIL) (-240 431579 437605 437668 "DIRPROD" 437673 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-239 430427 430630 430895 "DIRPROD2" 431372 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-238 419636 425642 425695 "DIRPCAT" 426105 NIL DIRPCAT (NIL NIL T) -9 NIL 426945 NIL) (-237 416962 417604 418485 "DIRPCAT-" 418822 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-236 416249 416409 416595 "DIOSP" 416796 T DIOSP (NIL) -7 NIL NIL NIL) (-235 412904 415161 415202 "DIOPS" 415636 NIL DIOPS (NIL T) -9 NIL 415865 NIL) (-234 412453 412567 412758 "DIOPS-" 412763 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-233 411311 411939 411967 "DIFRING" 412154 T DIFRING (NIL) -9 NIL 412264 NIL) (-232 410957 411034 411186 "DIFRING-" 411191 NIL DIFRING- (NIL T) -8 NIL NIL NIL) (-231 408728 410000 410041 "DIFEXT" 410404 NIL DIFEXT (NIL T) -9 NIL 410698 NIL) (-230 407013 407441 408107 "DIFEXT-" 408112 NIL DIFEXT- (NIL T T) -8 NIL NIL NIL) (-229 404288 406545 406586 "DIAGG" 406591 NIL DIAGG (NIL T) -9 NIL 406611 NIL) (-228 403672 403829 404081 "DIAGG-" 404086 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-227 399089 402631 402908 "DHMATRIX" 403441 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-226 394701 395610 396620 "DFSFUN" 398099 T DFSFUN (NIL) -7 NIL NIL NIL) (-225 389779 393632 393944 "DFLOAT" 394409 T DFLOAT (NIL) -8 NIL NIL NIL) (-224 388007 388288 388684 "DFINTTLS" 389487 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-223 385036 386028 386428 "DERHAM" 387673 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-222 382837 384811 384900 "DEQUEUE" 384980 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-221 382052 382185 382381 "DEGRED" 382699 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-220 378447 379192 380045 "DEFINTRF" 381280 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-219 375974 376443 377042 "DEFINTEF" 377966 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-218 375324 375594 375709 "DEFAST" 375879 T DEFAST (NIL) -8 NIL NIL NIL) (-217 369328 374919 375068 "DECIMAL" 375195 T DECIMAL (NIL) -8 NIL NIL NIL) (-216 366838 367298 367804 "DDFACT" 368872 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-215 366434 366477 366628 "DBLRESP" 366789 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-214 364306 364667 365027 "DBASE" 366201 NIL DBASE (NIL T) -8 NIL NIL NIL) (-213 363548 363786 363932 "DATAARY" 364205 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-212 362654 363507 363535 "D03FAFA" 363540 T D03FAFA (NIL) -8 NIL NIL NIL) (-211 361761 362613 362641 "D03EEFA" 362646 T D03EEFA (NIL) -8 NIL NIL NIL) (-210 359711 360177 360666 "D03AGNT" 361292 T D03AGNT (NIL) -7 NIL NIL NIL) (-209 359000 359670 359698 "D02EJFA" 359703 T D02EJFA (NIL) -8 NIL NIL NIL) (-208 358289 358959 358987 "D02CJFA" 358992 T D02CJFA (NIL) -8 NIL NIL NIL) (-207 357578 358248 358276 "D02BHFA" 358281 T D02BHFA (NIL) -8 NIL NIL NIL) (-206 356867 357537 357565 "D02BBFA" 357570 T D02BBFA (NIL) -8 NIL NIL NIL) (-205 350064 351653 353259 "D02AGNT" 355281 T D02AGNT (NIL) -7 NIL NIL NIL) (-204 347832 348355 348901 "D01WGTS" 349538 T D01WGTS (NIL) -7 NIL NIL NIL) (-203 346899 347791 347819 "D01TRNS" 347824 T D01TRNS (NIL) -8 NIL NIL NIL) (-202 345967 346858 346886 "D01GBFA" 346891 T D01GBFA (NIL) -8 NIL NIL NIL) (-201 345035 345926 345954 "D01FCFA" 345959 T D01FCFA (NIL) -8 NIL NIL NIL) (-200 344103 344994 345022 "D01ASFA" 345027 T D01ASFA (NIL) -8 NIL NIL NIL) (-199 343171 344062 344090 "D01AQFA" 344095 T D01AQFA (NIL) -8 NIL NIL NIL) (-198 342239 343130 343158 "D01APFA" 343163 T D01APFA (NIL) -8 NIL NIL NIL) (-197 341307 342198 342226 "D01ANFA" 342231 T D01ANFA (NIL) -8 NIL NIL NIL) (-196 340375 341266 341294 "D01AMFA" 341299 T D01AMFA (NIL) -8 NIL NIL NIL) (-195 339443 340334 340362 "D01ALFA" 340367 T D01ALFA (NIL) -8 NIL NIL NIL) (-194 338511 339402 339430 "D01AKFA" 339435 T D01AKFA (NIL) -8 NIL NIL NIL) (-193 337579 338470 338498 "D01AJFA" 338503 T D01AJFA (NIL) -8 NIL NIL NIL) (-192 330874 332427 333988 "D01AGNT" 336038 T D01AGNT (NIL) -7 NIL NIL NIL) (-191 330211 330339 330491 "CYCLOTOM" 330742 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-190 326946 327659 328386 "CYCLES" 329504 T CYCLES (NIL) -7 NIL NIL NIL) (-189 326258 326392 326563 "CVMP" 326807 NIL CVMP (NIL T) -7 NIL NIL NIL) (-188 324029 324287 324663 "CTRIGMNP" 325986 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-187 323497 323823 323896 "CTOR" 323976 T CTOR (NIL) -8 NIL NIL NIL) (-186 323006 323228 323329 "CTORKIND" 323416 T CTORKIND (NIL) -8 NIL NIL NIL) (-185 322328 322613 322641 "CTORCAT" 322823 T CTORCAT (NIL) -9 NIL 322936 NIL) (-184 321926 322037 322196 "CTORCAT-" 322201 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-183 321415 321629 321727 "CTORCALL" 321848 T CTORCALL (NIL) -8 NIL NIL NIL) (-182 320789 320888 321041 "CSTTOOLS" 321312 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-181 316588 317245 318003 "CRFP" 320101 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-180 316063 316309 316401 "CRCEAST" 316516 T CRCEAST (NIL) -8 NIL NIL NIL) (-179 315110 315295 315523 "CRAPACK" 315867 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-178 314494 314595 314799 "CPMATCH" 314986 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-177 314219 314247 314353 "CPIMA" 314460 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-176 310583 311255 311973 "COORDSYS" 313554 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-175 309995 310116 310258 "CONTOUR" 310461 T CONTOUR (NIL) -8 NIL NIL NIL) (-174 305886 307998 308490 "CONTFRAC" 309535 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-173 305766 305787 305815 "CONDUIT" 305852 T CONDUIT (NIL) -9 NIL NIL NIL) (-172 304905 305459 305487 "COMRING" 305492 T COMRING (NIL) -9 NIL 305544 NIL) (-171 303959 304263 304447 "COMPPROP" 304741 T COMPPROP (NIL) -8 NIL NIL NIL) (-170 303620 303655 303783 "COMPLPAT" 303918 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-169 293642 303429 303538 "COMPLEX" 303543 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-168 293278 293335 293442 "COMPLEX2" 293579 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-167 292996 293031 293129 "COMPFACT" 293237 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-166 277123 287378 287418 "COMPCAT" 288422 NIL COMPCAT (NIL T) -9 NIL 289818 NIL) (-165 266634 269562 273189 "COMPCAT-" 273545 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-164 266363 266391 266494 "COMMUPC" 266600 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-163 266157 266191 266250 "COMMONOP" 266324 T COMMONOP (NIL) -7 NIL NIL NIL) (-162 265713 265908 265995 "COMM" 266090 T COMM (NIL) -8 NIL NIL NIL) (-161 265289 265517 265592 "COMMAAST" 265658 T COMMAAST (NIL) -8 NIL NIL NIL) (-160 264538 264732 264760 "COMBOPC" 265098 T COMBOPC (NIL) -9 NIL 265273 NIL) (-159 263434 263644 263886 "COMBINAT" 264328 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-158 259631 260205 260845 "COMBF" 262856 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-157 258389 258747 258982 "COLOR" 259416 T COLOR (NIL) -8 NIL NIL NIL) (-156 257865 258110 258202 "COLONAST" 258317 T COLONAST (NIL) -8 NIL NIL NIL) (-155 257505 257552 257677 "CMPLXRT" 257812 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-154 256953 257205 257304 "CLLCTAST" 257426 T CLLCTAST (NIL) -8 NIL NIL NIL) (-153 252453 253483 254563 "CLIP" 255893 T CLIP (NIL) -7 NIL NIL NIL) (-152 250799 251559 251798 "CLIF" 252280 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-151 246974 248945 248986 "CLAGG" 249915 NIL CLAGG (NIL T) -9 NIL 250451 NIL) (-150 245396 245853 246436 "CLAGG-" 246441 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-149 244940 245025 245165 "CINTSLPE" 245305 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-148 242441 242912 243460 "CHVAR" 244468 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-147 241650 242204 242232 "CHARZ" 242237 T CHARZ (NIL) -9 NIL 242252 NIL) (-146 241404 241444 241522 "CHARPOL" 241604 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-145 240497 241084 241112 "CHARNZ" 241159 T CHARNZ (NIL) -9 NIL 241215 NIL) (-144 238459 239187 239522 "CHAR" 240182 T CHAR (NIL) -8 NIL NIL NIL) (-143 238185 238246 238274 "CFCAT" 238385 T CFCAT (NIL) -9 NIL NIL NIL) (-142 237430 237541 237723 "CDEN" 238069 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-141 233395 236583 236863 "CCLASS" 237170 T CCLASS (NIL) -8 NIL NIL NIL) (-140 232702 232845 233008 "CATEGORY" 233252 T -10 (NIL) -8 NIL NIL NIL) (-139 232307 232621 232669 "CATCTOR" 232674 T CATCTOR (NIL) -8 NIL NIL NIL) (-138 231758 232010 232108 "CATAST" 232229 T CATAST (NIL) -8 NIL NIL NIL) (-137 231234 231479 231571 "CASEAST" 231686 T CASEAST (NIL) -8 NIL NIL NIL) (-136 226243 227263 228016 "CARTEN" 230537 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-135 225351 225499 225720 "CARTEN2" 226090 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-134 223666 224501 224758 "CARD" 225114 T CARD (NIL) -8 NIL NIL NIL) (-133 223242 223470 223545 "CAPSLAST" 223611 T CAPSLAST (NIL) -8 NIL NIL NIL) (-132 222588 222942 222970 "CACHSET" 223102 T CACHSET (NIL) -9 NIL 223179 NIL) (-131 222058 222380 222408 "CABMON" 222458 T CABMON (NIL) -9 NIL 222514 NIL) (-130 221531 221762 221872 "BYTEORD" 221968 T BYTEORD (NIL) -8 NIL NIL NIL) (-129 220507 221065 221207 "BYTE" 221370 T BYTE (NIL) -8 NIL NIL 221492) (-128 215857 220012 220184 "BYTEBUF" 220355 T BYTEBUF (NIL) -8 NIL NIL NIL) (-127 213366 215549 215656 "BTREE" 215783 NIL BTREE (NIL T) -8 NIL NIL NIL) (-126 210815 213014 213136 "BTOURN" 213276 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-125 208185 210285 210326 "BTCAT" 210394 NIL BTCAT (NIL T) -9 NIL 210471 NIL) (-124 207852 207932 208081 "BTCAT-" 208086 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-123 203117 206995 207023 "BTAGG" 207245 T BTAGG (NIL) -9 NIL 207406 NIL) (-122 202607 202732 202938 "BTAGG-" 202943 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-121 199602 201885 202100 "BSTREE" 202424 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-120 198740 198866 199050 "BRILL" 199458 NIL BRILL (NIL T) -7 NIL NIL NIL) (-119 195392 197466 197507 "BRAGG" 198156 NIL BRAGG (NIL T) -9 NIL 198414 NIL) (-118 193921 194327 194882 "BRAGG-" 194887 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-117 187150 193267 193451 "BPADICRT" 193769 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-116 185465 187087 187132 "BPADIC" 187137 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-115 185163 185193 185307 "BOUNDZRO" 185429 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-114 180255 181453 182396 "BOP" 184240 T BOP (NIL) -8 NIL NIL NIL) (-113 177876 178320 178840 "BOP1" 179768 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-112 176551 177300 177493 "BOOLEAN" 177703 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 175889 176291 176345 "BMODULE" 176350 NIL BMODULE (NIL T T) -9 NIL 176415 NIL) (-110 171690 175687 175760 "BITS" 175836 T BITS (NIL) -8 NIL NIL NIL) (-109 171111 171230 171370 "BINDING" 171570 T BINDING (NIL) -8 NIL NIL NIL) (-108 165118 170708 170856 "BINARY" 170983 T BINARY (NIL) -8 NIL NIL NIL) (-107 162898 164373 164414 "BGAGG" 164674 NIL BGAGG (NIL T) -9 NIL 164811 NIL) (-106 162729 162761 162852 "BGAGG-" 162857 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 161800 162113 162318 "BFUNCT" 162544 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 160490 160668 160956 "BEZOUT" 161624 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 156959 159342 159672 "BBTREE" 160193 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 156693 156746 156774 "BASTYPE" 156893 T BASTYPE (NIL) -9 NIL NIL NIL) (-101 156546 156574 156647 "BASTYPE-" 156652 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 155980 156056 156208 "BALFACT" 156457 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 154836 155395 155581 "AUTOMOR" 155825 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 154562 154567 154593 "ATTREG" 154598 T ATTREG (NIL) -9 NIL NIL NIL) (-97 152814 153259 153611 "ATTRBUT" 154228 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 152422 152642 152708 "ATTRAST" 152766 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 151958 152071 152097 "ATRIG" 152298 T ATRIG (NIL) -9 NIL NIL NIL) (-94 151767 151808 151895 "ATRIG-" 151900 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 151412 151598 151624 "ASTCAT" 151629 T ASTCAT (NIL) -9 NIL 151659 NIL) (-92 151139 151198 151317 "ASTCAT-" 151322 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 149288 150915 151003 "ASTACK" 151082 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 147793 148090 148455 "ASSOCEQ" 148970 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 146825 147452 147576 "ASP9" 147700 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 146588 146773 146812 "ASP8" 146817 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 145456 146193 146335 "ASP80" 146477 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 144354 145091 145223 "ASP7" 145355 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 143308 144031 144149 "ASP78" 144267 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 142277 142988 143105 "ASP77" 143222 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 141189 141915 142046 "ASP74" 142177 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 140089 140824 140956 "ASP73" 141088 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 139193 139915 140015 "ASP6" 140020 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 138137 138870 138988 "ASP55" 139106 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 137086 137811 137930 "ASP50" 138049 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 136174 136787 136897 "ASP4" 137007 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 135262 135875 135985 "ASP49" 136095 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 134046 134801 134969 "ASP42" 135151 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 132822 133579 133749 "ASP41" 133933 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 131772 132499 132617 "ASP35" 132735 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 131537 131720 131759 "ASP34" 131764 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 131274 131341 131417 "ASP33" 131492 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 130167 130909 131041 "ASP31" 131173 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 129932 130115 130154 "ASP30" 130159 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 129667 129736 129812 "ASP29" 129887 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 129432 129615 129654 "ASP28" 129659 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 129197 129380 129419 "ASP27" 129424 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 128281 128895 129006 "ASP24" 129117 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 127357 128083 128195 "ASP20" 128200 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 126445 127058 127168 "ASP1" 127278 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 125387 126119 126238 "ASP19" 126357 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 125124 125191 125267 "ASP12" 125342 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 123976 124723 124867 "ASP10" 125011 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 121827 123820 123911 "ARRAY2" 123916 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 117592 121475 121589 "ARRAY1" 121744 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 116624 116797 117018 "ARRAY12" 117415 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 110936 112854 112929 "ARR2CAT" 115559 NIL ARR2CAT (NIL T T T) -9 NIL 116317 NIL) (-56 108370 109114 110068 "ARR2CAT-" 110073 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 107687 107997 108122 "ARITY" 108263 T ARITY (NIL) -8 NIL NIL NIL) (-54 106435 106587 106893 "APPRULE" 107523 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 106086 106134 106253 "APPLYORE" 106381 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 105033 105351 105546 "ANY" 105909 T ANY (NIL) -8 NIL NIL NIL) (-51 104311 104434 104591 "ANY1" 104907 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 101841 102748 103075 "ANTISYM" 104035 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 101333 101548 101644 "ANON" 101763 T ANON (NIL) -8 NIL NIL NIL) (-48 95430 99872 100326 "AN" 100897 T AN (NIL) -8 NIL NIL NIL) (-47 91652 93040 93091 "AMR" 93839 NIL AMR (NIL T T) -9 NIL 94439 NIL) (-46 90764 90985 91348 "AMR-" 91353 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 75203 90681 90742 "ALIST" 90747 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 72005 74797 74966 "ALGSC" 75121 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 68560 69115 69722 "ALGPKG" 71445 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 67837 67938 68122 "ALGMFACT" 68446 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 63575 64261 64916 "ALGMANIP" 67360 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 54945 63201 63351 "ALGFF" 63508 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 54141 54272 54451 "ALGFACT" 54803 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 53174 53772 53810 "ALGEBRA" 53815 NIL ALGEBRA (NIL T) -9 NIL 53856 NIL) (-37 52892 52951 53083 "ALGEBRA-" 53088 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 34985 50894 50946 "ALAGG" 51082 NIL ALAGG (NIL T T) -9 NIL 51243 NIL) (-35 34521 34634 34660 "AHYP" 34861 T AHYP (NIL) -9 NIL NIL NIL) (-34 33452 33700 33726 "AGG" 34225 T AGG (NIL) -9 NIL 34504 NIL) (-33 32886 33048 33262 "AGG-" 33267 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 30562 30985 31403 "AF" 32528 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 30042 30287 30377 "ADDAST" 30490 T ADDAST (NIL) -8 NIL NIL NIL) (-30 29310 29569 29725 "ACPLOT" 29904 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 18568 26523 26574 "ACFS" 27285 NIL ACFS (NIL T) -9 NIL 27524 NIL) (-28 16582 17072 17847 "ACFS-" 17852 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 12821 14749 14775 "ACF" 15654 T ACF (NIL) -9 NIL 16066 NIL) (-26 11525 11859 12352 "ACF-" 12357 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 11099 11292 11318 "ABELSG" 11410 T ABELSG (NIL) -9 NIL 11475 NIL) (-24 10966 10991 11057 "ABELSG-" 11062 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 10309 10596 10622 "ABELMON" 10792 T ABELMON (NIL) -9 NIL 10904 NIL) (-22 9973 10057 10195 "ABELMON-" 10200 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 9281 9653 9679 "ABELGRP" 9804 T ABELGRP (NIL) -9 NIL 9886 NIL) (-20 8744 8873 9089 "ABELGRP-" 9094 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4333 8083 8122 "A1AGG" 8127 NIL A1AGG (NIL T) -9 NIL 8167 NIL) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL NIL))
\ No newline at end of file +((-3 3205616 3205621 3205626 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-2 3205601 3205606 3205611 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1 3205586 3205591 3205596 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (0 3205571 3205576 3205581 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1287 3204713 3205446 3205523 "ZMOD" 3205528 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1286 3203823 3203987 3204196 "ZLINDEP" 3204545 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1285 3193123 3194891 3196863 "ZDSOLVE" 3201953 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1284 3192369 3192510 3192699 "YSTREAM" 3192969 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1283 3190143 3191670 3191874 "XRPOLY" 3192212 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1282 3186696 3188014 3188589 "XPR" 3189615 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1281 3184417 3186027 3186231 "XPOLY" 3186527 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1280 3182174 3183542 3183597 "XPOLYC" 3183885 NIL XPOLYC (NIL T T) -9 NIL 3183998 NIL) (-1279 3178550 3180691 3181079 "XPBWPOLY" 3181832 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1278 3174426 3176713 3176755 "XF" 3177376 NIL XF (NIL T) -9 NIL 3177776 NIL) (-1277 3174047 3174135 3174304 "XF-" 3174309 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1276 3169347 3170636 3170691 "XFALG" 3172863 NIL XFALG (NIL T T) -9 NIL 3173652 NIL) (-1275 3168480 3168584 3168789 "XEXPPKG" 3169239 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1274 3166589 3168330 3168426 "XDPOLY" 3168431 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1273 3165500 3166100 3166143 "XALG" 3166148 NIL XALG (NIL T) -9 NIL 3166259 NIL) (-1272 3158942 3163477 3163971 "WUTSET" 3165092 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1271 3157198 3157994 3158317 "WP" 3158753 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1270 3156800 3157020 3157090 "WHILEAST" 3157150 T WHILEAST (NIL) -8 NIL NIL NIL) (-1269 3156272 3156517 3156611 "WHEREAST" 3156728 T WHEREAST (NIL) -8 NIL NIL NIL) (-1268 3155158 3155356 3155651 "WFFINTBS" 3156069 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1267 3153062 3153489 3153951 "WEIER" 3154730 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1266 3152183 3152633 3152675 "VSPACE" 3152811 NIL VSPACE (NIL T) -9 NIL 3152885 NIL) (-1265 3152021 3152048 3152139 "VSPACE-" 3152144 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1264 3151829 3151872 3151940 "VOID" 3151975 T VOID (NIL) -8 NIL NIL NIL) (-1263 3149965 3150324 3150730 "VIEW" 3151445 T VIEW (NIL) -7 NIL NIL NIL) (-1262 3146389 3147028 3147765 "VIEWDEF" 3149250 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1261 3135693 3137937 3140110 "VIEW3D" 3144238 T VIEW3D (NIL) -8 NIL NIL NIL) (-1260 3127944 3129604 3131183 "VIEW2D" 3134136 T VIEW2D (NIL) -8 NIL NIL NIL) (-1259 3123298 3127714 3127806 "VECTOR" 3127887 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1258 3121875 3122134 3122452 "VECTOR2" 3123028 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1257 3115354 3119659 3119702 "VECTCAT" 3120695 NIL VECTCAT (NIL T) -9 NIL 3121281 NIL) (-1256 3114368 3114622 3115012 "VECTCAT-" 3115017 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1255 3113822 3114019 3114139 "VARIABLE" 3114283 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1254 3113755 3113760 3113790 "UTYPE" 3113795 T UTYPE (NIL) -9 NIL NIL NIL) (-1253 3112585 3112739 3113001 "UTSODETL" 3113581 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1252 3110025 3110485 3111009 "UTSODE" 3112126 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1251 3101862 3107651 3108140 "UTS" 3109594 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1250 3093070 3098429 3098472 "UTSCAT" 3099584 NIL UTSCAT (NIL T) -9 NIL 3100341 NIL) (-1249 3090418 3091140 3092129 "UTSCAT-" 3092134 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1248 3090045 3090088 3090221 "UTS2" 3090369 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1247 3084271 3086883 3086926 "URAGG" 3088996 NIL URAGG (NIL T) -9 NIL 3089719 NIL) (-1246 3081210 3082073 3083196 "URAGG-" 3083201 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1245 3076920 3079845 3080310 "UPXSSING" 3080874 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1244 3068986 3076167 3076440 "UPXS" 3076705 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1243 3062059 3068890 3068962 "UPXSCONS" 3068967 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1242 3052269 3059054 3059116 "UPXSCCA" 3059690 NIL UPXSCCA (NIL T T) -9 NIL 3059923 NIL) (-1241 3051907 3051992 3052166 "UPXSCCA-" 3052171 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1240 3041970 3048528 3048571 "UPXSCAT" 3049219 NIL UPXSCAT (NIL T) -9 NIL 3049827 NIL) (-1239 3041400 3041479 3041658 "UPXS2" 3041885 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1238 3040054 3040307 3040658 "UPSQFREE" 3041143 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1237 3033807 3036856 3036911 "UPSCAT" 3038072 NIL UPSCAT (NIL T T) -9 NIL 3038846 NIL) (-1236 3033011 3033218 3033545 "UPSCAT-" 3033550 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1235 3019126 3026886 3026929 "UPOLYC" 3029030 NIL UPOLYC (NIL T) -9 NIL 3030251 NIL) (-1234 3010454 3012880 3016027 "UPOLYC-" 3016032 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1233 3010081 3010124 3010257 "UPOLYC2" 3010405 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1232 3001892 3009764 3009893 "UP" 3010000 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1231 3001231 3001338 3001502 "UPMP" 3001781 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1230 3000784 3000865 3001004 "UPDIVP" 3001144 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1229 2999352 2999601 2999917 "UPDECOMP" 3000533 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1228 2998587 2998699 2998884 "UPCDEN" 2999236 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1227 2998106 2998175 2998324 "UP2" 2998512 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1226 2996573 2997310 2997587 "UNISEG" 2997864 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1225 2995788 2995915 2996120 "UNISEG2" 2996416 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1224 2994848 2995028 2995254 "UNIFACT" 2995604 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1223 2978780 2994025 2994276 "ULS" 2994655 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1222 2966779 2978684 2978756 "ULSCONS" 2978761 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1221 2949360 2961337 2961399 "ULSCCAT" 2962037 NIL ULSCCAT (NIL T T) -9 NIL 2962325 NIL) (-1220 2948410 2948655 2949043 "ULSCCAT-" 2949048 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1219 2938250 2944722 2944765 "ULSCAT" 2945628 NIL ULSCAT (NIL T) -9 NIL 2946358 NIL) (-1218 2937680 2937759 2937938 "ULS2" 2938165 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1217 2936770 2937280 2937387 "UINT8" 2937498 T UINT8 (NIL) -8 NIL NIL 2937583) (-1216 2935859 2936369 2936476 "UINT64" 2936587 T UINT64 (NIL) -8 NIL NIL 2936672) (-1215 2934948 2935458 2935565 "UINT32" 2935676 T UINT32 (NIL) -8 NIL NIL 2935761) (-1214 2934037 2934547 2934654 "UINT16" 2934765 T UINT16 (NIL) -8 NIL NIL 2934850) (-1213 2932406 2933363 2933393 "UFD" 2933605 T UFD (NIL) -9 NIL 2933719 NIL) (-1212 2932200 2932246 2932341 "UFD-" 2932346 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1211 2931282 2931465 2931681 "UDVO" 2932006 T UDVO (NIL) -7 NIL NIL NIL) (-1210 2929098 2929507 2929978 "UDPO" 2930846 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1209 2929031 2929036 2929066 "TYPE" 2929071 T TYPE (NIL) -9 NIL NIL NIL) (-1208 2928791 2928986 2929017 "TYPEAST" 2929022 T TYPEAST (NIL) -8 NIL NIL NIL) (-1207 2927762 2927964 2928204 "TWOFACT" 2928585 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1206 2926785 2927171 2927406 "TUPLE" 2927562 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1205 2924476 2924995 2925534 "TUBETOOL" 2926268 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1204 2923325 2923530 2923771 "TUBE" 2924269 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1203 2918054 2922297 2922580 "TS" 2923077 NIL TS (NIL T) -8 NIL NIL NIL) (-1202 2906694 2910813 2910910 "TSETCAT" 2916179 NIL TSETCAT (NIL T T T T) -9 NIL 2917710 NIL) (-1201 2901426 2903026 2904917 "TSETCAT-" 2904922 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1200 2896065 2896912 2897841 "TRMANIP" 2900562 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1199 2895506 2895569 2895732 "TRIMAT" 2895997 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1198 2893372 2893609 2893966 "TRIGMNIP" 2895255 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1197 2892892 2893005 2893035 "TRIGCAT" 2893248 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1196 2892561 2892640 2892781 "TRIGCAT-" 2892786 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1195 2889406 2891419 2891700 "TREE" 2892315 NIL TREE (NIL T) -8 NIL NIL NIL) (-1194 2888680 2889208 2889238 "TRANFUN" 2889273 T TRANFUN (NIL) -9 NIL 2889339 NIL) (-1193 2887959 2888150 2888430 "TRANFUN-" 2888435 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1192 2887763 2887795 2887856 "TOPSP" 2887920 T TOPSP (NIL) -7 NIL NIL NIL) (-1191 2887111 2887226 2887380 "TOOLSIGN" 2887644 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1190 2885745 2886288 2886527 "TEXTFILE" 2886894 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1189 2883657 2884198 2884627 "TEX" 2885338 T TEX (NIL) -8 NIL NIL NIL) (-1188 2883438 2883469 2883541 "TEX1" 2883620 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1187 2883086 2883149 2883239 "TEMUTL" 2883370 T TEMUTL (NIL) -7 NIL NIL NIL) (-1186 2881240 2881520 2881845 "TBCMPPK" 2882809 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1185 2873017 2879400 2879456 "TBAGG" 2879856 NIL TBAGG (NIL T T) -9 NIL 2880067 NIL) (-1184 2868087 2869575 2871329 "TBAGG-" 2871334 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1183 2867471 2867578 2867723 "TANEXP" 2867976 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1182 2860861 2867328 2867421 "TABLE" 2867426 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1181 2860273 2860372 2860510 "TABLEAU" 2860758 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1180 2854881 2856101 2857349 "TABLBUMP" 2859059 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1179 2854103 2854250 2854431 "SYSTEM" 2854722 T SYSTEM (NIL) -8 NIL NIL NIL) (-1178 2850562 2851261 2852044 "SYSSOLP" 2853354 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1177 2849569 2850074 2850193 "SYSNNI" 2850379 NIL SYSNNI (NIL NIL) -8 NIL NIL 2850464) (-1176 2848839 2849298 2849377 "SYSINT" 2849437 NIL SYSINT (NIL NIL) -8 NIL NIL 2849482) (-1175 2845171 2846117 2846827 "SYNTAX" 2848151 T SYNTAX (NIL) -8 NIL NIL NIL) (-1174 2842329 2842931 2843563 "SYMTAB" 2844561 T SYMTAB (NIL) -8 NIL NIL NIL) (-1173 2837578 2838480 2839463 "SYMS" 2841368 T SYMS (NIL) -8 NIL NIL NIL) (-1172 2834813 2837036 2837266 "SYMPOLY" 2837383 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1171 2834330 2834405 2834528 "SYMFUNC" 2834725 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1170 2830349 2831642 2832455 "SYMBOL" 2833539 T SYMBOL (NIL) -8 NIL NIL NIL) (-1169 2823888 2825577 2827297 "SWITCH" 2828651 T SWITCH (NIL) -8 NIL NIL NIL) (-1168 2817122 2822709 2823012 "SUTS" 2823643 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1167 2809188 2816369 2816642 "SUPXS" 2816907 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1166 2800948 2808806 2808932 "SUP" 2809097 NIL SUP (NIL T) -8 NIL NIL NIL) (-1165 2800107 2800234 2800451 "SUPFRACF" 2800816 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1164 2799728 2799787 2799900 "SUP2" 2800042 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1163 2798176 2798450 2798806 "SUMRF" 2799427 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1162 2797511 2797577 2797769 "SUMFS" 2798097 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1161 2781478 2796688 2796939 "SULS" 2797318 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1160 2781080 2781300 2781370 "SUCHTAST" 2781430 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1159 2780375 2780605 2780745 "SUCH" 2780988 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1158 2774242 2775281 2776240 "SUBSPACE" 2779463 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1157 2773672 2773762 2773926 "SUBRESP" 2774130 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1156 2767037 2768337 2769648 "STTF" 2772408 NIL STTF (NIL T) -7 NIL NIL NIL) (-1155 2761210 2762330 2763477 "STTFNC" 2765937 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1154 2752521 2754392 2756186 "STTAYLOR" 2759451 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1153 2745651 2752385 2752468 "STRTBL" 2752473 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1152 2741015 2745606 2745637 "STRING" 2745642 T STRING (NIL) -8 NIL NIL NIL) (-1151 2735876 2740388 2740418 "STRICAT" 2740477 T STRICAT (NIL) -9 NIL 2740539 NIL) (-1150 2728631 2733495 2734106 "STREAM" 2735300 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1149 2728141 2728218 2728362 "STREAM3" 2728548 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1148 2727123 2727306 2727541 "STREAM2" 2727954 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1147 2726811 2726863 2726956 "STREAM1" 2727065 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1146 2725827 2726008 2726239 "STINPROD" 2726627 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1145 2725379 2725589 2725619 "STEP" 2725699 T STEP (NIL) -9 NIL 2725777 NIL) (-1144 2718811 2725278 2725355 "STBL" 2725360 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1143 2713937 2718032 2718075 "STAGG" 2718228 NIL STAGG (NIL T) -9 NIL 2718317 NIL) (-1142 2711639 2712241 2713113 "STAGG-" 2713118 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1141 2709786 2711409 2711501 "STACK" 2711582 NIL STACK (NIL T) -8 NIL NIL NIL) (-1140 2702482 2707927 2708383 "SREGSET" 2709416 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1139 2694907 2696276 2697789 "SRDCMPK" 2701088 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1138 2687824 2692347 2692377 "SRAGG" 2693680 T SRAGG (NIL) -9 NIL 2694288 NIL) (-1137 2686841 2687096 2687475 "SRAGG-" 2687480 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1136 2681301 2685788 2686209 "SQMATRIX" 2686467 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1135 2674987 2678019 2678746 "SPLTREE" 2680646 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1134 2670950 2671643 2672289 "SPLNODE" 2674413 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1133 2669997 2670230 2670260 "SPFCAT" 2670704 T SPFCAT (NIL) -9 NIL NIL NIL) (-1132 2668734 2668944 2669208 "SPECOUT" 2669755 T SPECOUT (NIL) -7 NIL NIL NIL) (-1131 2660360 2662130 2662160 "SPADXPT" 2666552 T SPADXPT (NIL) -9 NIL 2668586 NIL) (-1130 2660121 2660161 2660230 "SPADPRSR" 2660313 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1129 2658276 2660076 2660107 "SPADAST" 2660112 T SPADAST (NIL) -8 NIL NIL NIL) (-1128 2650221 2651994 2652037 "SPACEC" 2656410 NIL SPACEC (NIL T) -9 NIL 2658226 NIL) (-1127 2648351 2650153 2650202 "SPACE3" 2650207 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1126 2647103 2647274 2647565 "SORTPAK" 2648156 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1125 2645195 2645498 2645910 "SOLVETRA" 2646767 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1124 2644245 2644467 2644728 "SOLVESER" 2644968 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1123 2639547 2640437 2641432 "SOLVERAD" 2643297 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1122 2635362 2635971 2636700 "SOLVEFOR" 2638914 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1121 2629632 2634711 2634808 "SNTSCAT" 2634813 NIL SNTSCAT (NIL T T T T) -9 NIL 2634883 NIL) (-1120 2623738 2627955 2628346 "SMTS" 2629322 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1119 2618423 2623626 2623703 "SMP" 2623708 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1118 2616582 2616883 2617281 "SMITH" 2618120 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1117 2609442 2613633 2613736 "SMATCAT" 2615087 NIL SMATCAT (NIL NIL T T T) -9 NIL 2615637 NIL) (-1116 2606382 2607205 2608383 "SMATCAT-" 2608388 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1115 2604048 2605618 2605661 "SKAGG" 2605922 NIL SKAGG (NIL T) -9 NIL 2606057 NIL) (-1114 2600356 2603464 2603659 "SINT" 2603846 T SINT (NIL) -8 NIL NIL 2604019) (-1113 2600128 2600166 2600232 "SIMPAN" 2600312 T SIMPAN (NIL) -7 NIL NIL NIL) (-1112 2599407 2599663 2599803 "SIG" 2600010 T SIG (NIL) -8 NIL NIL NIL) (-1111 2598245 2598466 2598741 "SIGNRF" 2599166 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1110 2597078 2597229 2597513 "SIGNEF" 2598074 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1109 2596384 2596661 2596785 "SIGAST" 2596976 T SIGAST (NIL) -8 NIL NIL NIL) (-1108 2594074 2594528 2595034 "SHP" 2595925 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1107 2587926 2593975 2594051 "SHDP" 2594056 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1106 2587499 2587691 2587721 "SGROUP" 2587814 T SGROUP (NIL) -9 NIL 2587876 NIL) (-1105 2587357 2587383 2587456 "SGROUP-" 2587461 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1104 2584192 2584890 2585613 "SGCF" 2586656 T SGCF (NIL) -7 NIL NIL NIL) (-1103 2578560 2583639 2583736 "SFRTCAT" 2583741 NIL SFRTCAT (NIL T T T T) -9 NIL 2583780 NIL) (-1102 2571981 2572999 2574135 "SFRGCD" 2577543 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1101 2565108 2566180 2567366 "SFQCMPK" 2570914 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1100 2564728 2564817 2564928 "SFORT" 2565049 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1099 2563846 2564568 2564689 "SEXOF" 2564694 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1098 2562953 2563727 2563795 "SEX" 2563800 T SEX (NIL) -8 NIL NIL NIL) (-1097 2558466 2559181 2559276 "SEXCAT" 2562213 NIL SEXCAT (NIL T T T T T) -9 NIL 2562791 NIL) (-1096 2555619 2558400 2558448 "SET" 2558453 NIL SET (NIL T) -8 NIL NIL NIL) (-1095 2553843 2554332 2554637 "SETMN" 2555360 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1094 2553339 2553491 2553521 "SETCAT" 2553697 T SETCAT (NIL) -9 NIL 2553807 NIL) (-1093 2553119 2553171 2553270 "SETCAT-" 2553275 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1092 2549480 2551580 2551623 "SETAGG" 2552493 NIL SETAGG (NIL T) -9 NIL 2552833 NIL) (-1091 2548938 2549054 2549291 "SETAGG-" 2549296 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1090 2548381 2548634 2548735 "SEQAST" 2548859 T SEQAST (NIL) -8 NIL NIL NIL) (-1089 2547580 2547874 2547935 "SEGXCAT" 2548221 NIL SEGXCAT (NIL T T) -9 NIL 2548341 NIL) (-1088 2546586 2547246 2547428 "SEG" 2547433 NIL SEG (NIL T) -8 NIL NIL NIL) (-1087 2545565 2545779 2545822 "SEGCAT" 2546344 NIL SEGCAT (NIL T) -9 NIL 2546565 NIL) (-1086 2544566 2544944 2545144 "SEGBIND" 2545400 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1085 2544187 2544246 2544359 "SEGBIND2" 2544501 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1084 2543760 2543988 2544065 "SEGAST" 2544132 T SEGAST (NIL) -8 NIL NIL NIL) (-1083 2542979 2543105 2543309 "SEG2" 2543604 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1082 2542389 2542914 2542961 "SDVAR" 2542966 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1081 2534916 2542159 2542289 "SDPOL" 2542294 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1080 2533509 2533775 2534094 "SCPKG" 2534631 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1079 2532673 2532845 2533037 "SCOPE" 2533339 T SCOPE (NIL) -8 NIL NIL NIL) (-1078 2531893 2532027 2532206 "SCACHE" 2532528 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1077 2531539 2531725 2531755 "SASTCAT" 2531760 T SASTCAT (NIL) -9 NIL 2531773 NIL) (-1076 2531026 2531374 2531450 "SAOS" 2531485 T SAOS (NIL) -8 NIL NIL NIL) (-1075 2530591 2530626 2530799 "SAERFFC" 2530985 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1074 2524530 2530488 2530568 "SAE" 2530573 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1073 2524123 2524158 2524317 "SAEFACT" 2524489 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1072 2522444 2522758 2523159 "RURPK" 2523789 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1071 2521081 2521387 2521692 "RULESET" 2522278 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1070 2518304 2518834 2519292 "RULE" 2520762 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1069 2517916 2518098 2518181 "RULECOLD" 2518256 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1068 2517706 2517734 2517805 "RTVALUE" 2517867 T RTVALUE (NIL) -8 NIL NIL NIL) (-1067 2517177 2517423 2517517 "RSTRCAST" 2517634 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1066 2512025 2512820 2513740 "RSETGCD" 2516376 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1065 2501255 2506334 2506431 "RSETCAT" 2510550 NIL RSETCAT (NIL T T T T) -9 NIL 2511647 NIL) (-1064 2499182 2499721 2500545 "RSETCAT-" 2500550 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1063 2491567 2492944 2494464 "RSDCMPK" 2497781 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1062 2489546 2490013 2490087 "RRCC" 2491173 NIL RRCC (NIL T T) -9 NIL 2491517 NIL) (-1061 2488897 2489071 2489350 "RRCC-" 2489355 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1060 2488340 2488593 2488694 "RPTAST" 2488818 T RPTAST (NIL) -8 NIL NIL NIL) (-1059 2462611 2471960 2472027 "RPOLCAT" 2482691 NIL RPOLCAT (NIL T T T) -9 NIL 2485850 NIL) (-1058 2454109 2456449 2459571 "RPOLCAT-" 2459576 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1057 2445040 2452320 2452802 "ROUTINE" 2453649 T ROUTINE (NIL) -8 NIL NIL NIL) (-1056 2441838 2444666 2444806 "ROMAN" 2444922 T ROMAN (NIL) -8 NIL NIL NIL) (-1055 2440082 2440698 2440958 "ROIRC" 2441643 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1054 2436440 2438718 2438748 "RNS" 2439052 T RNS (NIL) -9 NIL 2439325 NIL) (-1053 2434949 2435332 2435866 "RNS-" 2435941 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1052 2434372 2434780 2434810 "RNG" 2434815 T RNG (NIL) -9 NIL 2434836 NIL) (-1051 2433738 2434126 2434169 "RMODULE" 2434231 NIL RMODULE (NIL T) -9 NIL 2434273 NIL) (-1050 2432574 2432668 2433004 "RMCAT2" 2433639 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1049 2429424 2431920 2432217 "RMATRIX" 2432336 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1048 2422340 2424600 2424715 "RMATCAT" 2428074 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2429056 NIL) (-1047 2421715 2421862 2422169 "RMATCAT-" 2422174 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1046 2421282 2421357 2421485 "RINTERP" 2421634 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1045 2420375 2420929 2420959 "RING" 2421015 T RING (NIL) -9 NIL 2421107 NIL) (-1044 2420167 2420211 2420308 "RING-" 2420313 NIL RING- (NIL T) -8 NIL NIL NIL) (-1043 2419008 2419245 2419503 "RIDIST" 2419931 T RIDIST (NIL) -7 NIL NIL NIL) (-1042 2410297 2418476 2418682 "RGCHAIN" 2418856 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1041 2409647 2410053 2410094 "RGBCSPC" 2410152 NIL RGBCSPC (NIL T) -9 NIL 2410204 NIL) (-1040 2408805 2409186 2409227 "RGBCMDL" 2409459 NIL RGBCMDL (NIL T) -9 NIL 2409573 NIL) (-1039 2405799 2406413 2407083 "RF" 2408169 NIL RF (NIL T) -7 NIL NIL NIL) (-1038 2405445 2405508 2405611 "RFFACTOR" 2405730 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1037 2405170 2405205 2405302 "RFFACT" 2405404 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1036 2403287 2403651 2404033 "RFDIST" 2404810 T RFDIST (NIL) -7 NIL NIL NIL) (-1035 2402740 2402832 2402995 "RETSOL" 2403189 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1034 2402376 2402456 2402499 "RETRACT" 2402632 NIL RETRACT (NIL T) -9 NIL 2402719 NIL) (-1033 2402225 2402250 2402337 "RETRACT-" 2402342 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1032 2401827 2402047 2402117 "RETAST" 2402177 T RETAST (NIL) -8 NIL NIL NIL) (-1031 2394565 2401480 2401607 "RESULT" 2401722 T RESULT (NIL) -8 NIL NIL NIL) (-1030 2393156 2393834 2394033 "RESRING" 2394468 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1029 2392792 2392841 2392939 "RESLATC" 2393093 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1028 2392497 2392532 2392639 "REPSQ" 2392751 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1027 2389919 2390499 2391101 "REP" 2391917 T REP (NIL) -7 NIL NIL NIL) (-1026 2389616 2389651 2389762 "REPDB" 2389878 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1025 2383516 2384905 2386128 "REP2" 2388428 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1024 2379893 2380574 2381382 "REP1" 2382743 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1023 2372589 2378034 2378490 "REGSET" 2379523 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1022 2371354 2371737 2371987 "REF" 2372374 NIL REF (NIL T) -8 NIL NIL NIL) (-1021 2370731 2370834 2371001 "REDORDER" 2371238 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1020 2366699 2369944 2370171 "RECLOS" 2370559 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1019 2365751 2365932 2366147 "REALSOLV" 2366506 T REALSOLV (NIL) -7 NIL NIL NIL) (-1018 2365597 2365638 2365668 "REAL" 2365673 T REAL (NIL) -9 NIL 2365708 NIL) (-1017 2362080 2362882 2363766 "REAL0Q" 2364762 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1016 2357681 2358669 2359730 "REAL0" 2361061 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1015 2357152 2357398 2357492 "RDUCEAST" 2357609 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1014 2356557 2356629 2356836 "RDIV" 2357074 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1013 2355625 2355799 2356012 "RDIST" 2356379 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1012 2354222 2354509 2354881 "RDETRS" 2355333 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1011 2352034 2352488 2353026 "RDETR" 2353764 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1010 2350659 2350937 2351334 "RDEEFS" 2351750 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1009 2349168 2349474 2349899 "RDEEF" 2350347 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1008 2343394 2346304 2346334 "RCFIELD" 2347629 T RCFIELD (NIL) -9 NIL 2348359 NIL) (-1007 2341458 2341962 2342658 "RCFIELD-" 2342733 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1006 2337727 2339559 2339602 "RCAGG" 2340686 NIL RCAGG (NIL T) -9 NIL 2341151 NIL) (-1005 2337355 2337449 2337612 "RCAGG-" 2337617 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1004 2336690 2336802 2336967 "RATRET" 2337239 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1003 2336243 2336310 2336431 "RATFACT" 2336618 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1002 2335551 2335671 2335823 "RANDSRC" 2336113 T RANDSRC (NIL) -7 NIL NIL NIL) (-1001 2335285 2335329 2335402 "RADUTIL" 2335500 T RADUTIL (NIL) -7 NIL NIL NIL) (-1000 2328401 2334118 2334428 "RADIX" 2335009 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-999 2320022 2328245 2328373 "RADFF" 2328378 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-998 2319674 2319749 2319777 "RADCAT" 2319934 T RADCAT (NIL) -9 NIL NIL NIL) (-997 2319459 2319507 2319604 "RADCAT-" 2319609 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-996 2317562 2319234 2319323 "QUEUE" 2319403 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-995 2314103 2317499 2317544 "QUAT" 2317549 NIL QUAT (NIL T) -8 NIL NIL NIL) (-994 2313741 2313784 2313911 "QUATCT2" 2314054 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-993 2307453 2310790 2310830 "QUATCAT" 2311610 NIL QUATCAT (NIL T) -9 NIL 2312376 NIL) (-992 2303597 2304634 2306021 "QUATCAT-" 2306115 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-991 2301070 2302681 2302722 "QUAGG" 2303097 NIL QUAGG (NIL T) -9 NIL 2303272 NIL) (-990 2300675 2300895 2300963 "QQUTAST" 2301022 T QQUTAST (NIL) -8 NIL NIL NIL) (-989 2299573 2300073 2300245 "QFORM" 2300547 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-988 2290751 2295990 2296030 "QFCAT" 2296688 NIL QFCAT (NIL T) -9 NIL 2297689 NIL) (-987 2286323 2287524 2289115 "QFCAT-" 2289209 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-986 2285961 2286004 2286131 "QFCAT2" 2286274 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-985 2285421 2285531 2285661 "QEQUAT" 2285851 T QEQUAT (NIL) -8 NIL NIL NIL) (-984 2278568 2279640 2280824 "QCMPACK" 2284354 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-983 2276117 2276565 2276993 "QALGSET" 2278223 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-982 2275362 2275536 2275768 "QALGSET2" 2275937 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-981 2274052 2274276 2274593 "PWFFINTB" 2275135 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-980 2272234 2272402 2272756 "PUSHVAR" 2273866 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-979 2268152 2269206 2269247 "PTRANFN" 2271131 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-978 2266554 2266845 2267167 "PTPACK" 2267863 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-977 2266186 2266243 2266352 "PTFUNC2" 2266491 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-976 2260665 2265058 2265099 "PTCAT" 2265395 NIL PTCAT (NIL T) -9 NIL 2265548 NIL) (-975 2260323 2260358 2260482 "PSQFR" 2260624 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-974 2258918 2259216 2259550 "PSEUDLIN" 2260021 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-973 2245681 2248052 2250376 "PSETPK" 2256678 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-972 2238699 2241439 2241535 "PSETCAT" 2244556 NIL PSETCAT (NIL T T T T) -9 NIL 2245370 NIL) (-971 2236535 2237169 2237990 "PSETCAT-" 2237995 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-970 2235884 2236049 2236077 "PSCURVE" 2236345 T PSCURVE (NIL) -9 NIL 2236512 NIL) (-969 2232206 2233722 2233787 "PSCAT" 2234631 NIL PSCAT (NIL T T T) -9 NIL 2234871 NIL) (-968 2231269 2231485 2231885 "PSCAT-" 2231890 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-967 2229974 2230634 2230839 "PRTITION" 2231084 T PRTITION (NIL) -8 NIL NIL NIL) (-966 2229449 2229695 2229787 "PRTDAST" 2229902 T PRTDAST (NIL) -8 NIL NIL NIL) (-965 2218539 2220753 2222941 "PRS" 2227311 NIL PRS (NIL T T) -7 NIL NIL NIL) (-964 2216350 2217889 2217929 "PRQAGG" 2218112 NIL PRQAGG (NIL T) -9 NIL 2218214 NIL) (-963 2215710 2215965 2215993 "PROPLOG" 2216178 T PROPLOG (NIL) -9 NIL 2216300 NIL) (-962 2214191 2214661 2214918 "PROPFRML" 2215486 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-961 2213660 2213767 2213895 "PROPERTY" 2214083 T PROPERTY (NIL) -8 NIL NIL NIL) (-960 2207718 2211826 2212646 "PRODUCT" 2212886 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-959 2204996 2207176 2207410 "PR" 2207529 NIL PR (NIL T T) -8 NIL NIL NIL) (-958 2204792 2204824 2204883 "PRINT" 2204957 T PRINT (NIL) -7 NIL NIL NIL) (-957 2204132 2204249 2204401 "PRIMES" 2204672 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-956 2202197 2202598 2203064 "PRIMELT" 2203711 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-955 2201926 2201975 2202003 "PRIMCAT" 2202127 T PRIMCAT (NIL) -9 NIL NIL NIL) (-954 2198041 2201864 2201909 "PRIMARR" 2201914 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-953 2197048 2197226 2197454 "PRIMARR2" 2197859 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-952 2196691 2196747 2196858 "PREASSOC" 2196986 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-951 2196166 2196299 2196327 "PPCURVE" 2196532 T PPCURVE (NIL) -9 NIL 2196668 NIL) (-950 2195761 2195961 2196044 "PORTNUM" 2196103 T PORTNUM (NIL) -8 NIL NIL NIL) (-949 2193120 2193519 2194111 "POLYROOT" 2195342 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-948 2187302 2192724 2192884 "POLY" 2192993 NIL POLY (NIL T) -8 NIL NIL NIL) (-947 2186685 2186743 2186977 "POLYLIFT" 2187238 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-946 2182960 2183409 2184038 "POLYCATQ" 2186230 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-945 2170092 2175212 2175277 "POLYCAT" 2178791 NIL POLYCAT (NIL T T T) -9 NIL 2180669 NIL) (-944 2163541 2165403 2167787 "POLYCAT-" 2167792 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-943 2163128 2163196 2163316 "POLY2UP" 2163467 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-942 2162760 2162817 2162926 "POLY2" 2163065 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-941 2161445 2161684 2161960 "POLUTIL" 2162534 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-940 2159800 2160077 2160408 "POLTOPOL" 2161167 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-939 2155267 2159736 2159782 "POINT" 2159787 NIL POINT (NIL T) -8 NIL NIL NIL) (-938 2153454 2153811 2154186 "PNTHEORY" 2154912 T PNTHEORY (NIL) -7 NIL NIL NIL) (-937 2151912 2152209 2152608 "PMTOOLS" 2153152 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-936 2151505 2151583 2151700 "PMSYM" 2151828 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-935 2151015 2151084 2151258 "PMQFCAT" 2151430 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-934 2150370 2150480 2150636 "PMPRED" 2150892 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-933 2149763 2149849 2150011 "PMPREDFS" 2150271 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-932 2148427 2148635 2149013 "PMPLCAT" 2149525 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-931 2147959 2148038 2148190 "PMLSAGG" 2148342 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-930 2147432 2147508 2147690 "PMKERNEL" 2147877 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-929 2147049 2147124 2147237 "PMINS" 2147351 NIL PMINS (NIL T) -7 NIL NIL NIL) (-928 2146491 2146560 2146769 "PMFS" 2146974 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-927 2145719 2145837 2146042 "PMDOWN" 2146368 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-926 2144886 2145044 2145225 "PMASS" 2145558 T PMASS (NIL) -7 NIL NIL NIL) (-925 2144159 2144269 2144432 "PMASSFS" 2144773 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-924 2143814 2143882 2143976 "PLOTTOOL" 2144085 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-923 2138421 2139625 2140773 "PLOT" 2142686 T PLOT (NIL) -8 NIL NIL NIL) (-922 2134225 2135269 2136190 "PLOT3D" 2137520 T PLOT3D (NIL) -8 NIL NIL NIL) (-921 2133137 2133314 2133549 "PLOT1" 2134029 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-920 2108526 2113203 2118054 "PLEQN" 2128403 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-919 2107844 2107966 2108146 "PINTERP" 2108391 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-918 2107537 2107584 2107687 "PINTERPA" 2107791 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-917 2106758 2107306 2107393 "PI" 2107433 T PI (NIL) -8 NIL NIL 2107500) (-916 2105121 2106096 2106124 "PID" 2106306 T PID (NIL) -9 NIL 2106440 NIL) (-915 2104872 2104909 2104984 "PICOERCE" 2105078 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-914 2104192 2104331 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2031291 2031393 "PARSURF" 2031538 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-877 2030860 2030917 2031026 "PARSU2" 2031165 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-876 2030624 2030664 2030731 "PARSER" 2030813 T PARSER (NIL) -7 NIL NIL NIL) (-875 2030245 2030308 2030410 "PARSCURV" 2030555 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-874 2029877 2029934 2030043 "PARSC2" 2030182 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-873 2029516 2029574 2029671 "PARPCURV" 2029813 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-872 2029148 2029205 2029314 "PARPC2" 2029453 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-871 2028668 2028754 2028873 "PAN2EXPR" 2029049 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-870 2027445 2027789 2028017 "PALETTE" 2028460 T PALETTE (NIL) -8 NIL NIL NIL) (-869 2025838 2026450 2026810 "PAIR" 2027131 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-868 2019708 2025097 2025291 "PADICRC" 2025693 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-867 2012937 2019054 2019238 "PADICRAT" 2019556 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-866 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1989282 1989631 1989720 "OSI" 1989833 T OSI (NIL) -8 NIL NIL NIL) (-853 1988812 1989150 1989178 "OSGROUP" 1989183 T OSGROUP (NIL) -9 NIL 1989205 NIL) (-852 1987557 1987784 1988069 "ORTHPOL" 1988559 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-851 1985108 1987392 1987513 "OREUP" 1987518 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-850 1982511 1984799 1984926 "ORESUP" 1985050 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-849 1980039 1980539 1981100 "OREPCTO" 1982000 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-848 1973829 1976030 1976071 "OREPCAT" 1978419 NIL OREPCAT (NIL T) -9 NIL 1979523 NIL) (-847 1970976 1971758 1972816 "OREPCAT-" 1972821 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-846 1970127 1970425 1970453 "ORDSET" 1970762 T ORDSET (NIL) -9 NIL 1970926 NIL) (-845 1969558 1969706 1969930 "ORDSET-" 1969935 NIL ORDSET- (NIL T) -8 NIL NIL NIL) (-844 1968158 1968949 1968977 "ORDRING" 1969179 T ORDRING (NIL) -9 NIL 1969304 NIL) (-843 1967803 1967897 1968041 "ORDRING-" 1968046 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-842 1967183 1967646 1967674 "ORDMON" 1967679 T ORDMON (NIL) -9 NIL 1967700 NIL) (-841 1966345 1966492 1966687 "ORDFUNS" 1967032 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-840 1965683 1966102 1966130 "ORDFIN" 1966195 T ORDFIN (NIL) -9 NIL 1966269 NIL) (-839 1962242 1964269 1964678 "ORDCOMP" 1965307 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-838 1961508 1961635 1961821 "ORDCOMP2" 1962102 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-837 1958089 1958999 1959813 "OPTPROB" 1960714 T OPTPROB (NIL) -8 NIL NIL NIL) (-836 1954891 1955530 1956234 "OPTPACK" 1957405 T OPTPACK (NIL) -7 NIL NIL NIL) (-835 1952578 1953344 1953372 "OPTCAT" 1954191 T OPTCAT (NIL) -9 NIL 1954841 NIL) (-834 1951994 1952255 1952360 "OPSIG" 1952493 T OPSIG (NIL) -8 NIL NIL NIL) (-833 1951762 1951801 1951867 "OPQUERY" 1951948 T OPQUERY (NIL) -7 NIL NIL NIL) (-832 1948893 1950073 1950577 "OP" 1951291 NIL OP (NIL T) -8 NIL NIL NIL) (-831 1948402 1948599 1948640 "OPERCAT" 1948775 NIL OPERCAT (NIL T) -9 NIL 1948843 NIL) (-830 1948248 1948275 1948361 "OPERCAT-" 1948366 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-829 1945060 1947045 1947414 "ONECOMP" 1947912 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-828 1944365 1944480 1944654 "ONECOMP2" 1944932 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-827 1943784 1943890 1944020 "OMSERVER" 1944255 T OMSERVER (NIL) -7 NIL NIL NIL) (-826 1940646 1943224 1943264 "OMSAGG" 1943325 NIL OMSAGG (NIL T) -9 NIL 1943389 NIL) (-825 1939269 1939532 1939814 "OMPKG" 1940384 T OMPKG (NIL) -7 NIL NIL NIL) (-824 1938699 1938802 1938830 "OM" 1939129 T OM (NIL) -9 NIL NIL NIL) (-823 1937246 1938248 1938417 "OMLO" 1938580 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-822 1936206 1936353 1936573 "OMEXPR" 1937072 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-821 1935497 1935752 1935888 "OMERR" 1936090 T OMERR (NIL) -8 NIL NIL NIL) (-820 1934648 1934918 1935078 "OMERRK" 1935357 T OMERRK (NIL) -8 NIL NIL NIL) (-819 1934099 1934325 1934433 "OMENC" 1934560 T OMENC (NIL) -8 NIL NIL NIL) (-818 1927994 1929179 1930350 "OMDEV" 1932948 T OMDEV (NIL) -8 NIL NIL NIL) (-817 1927063 1927234 1927428 "OMCONN" 1927820 T OMCONN (NIL) -8 NIL NIL NIL) (-816 1925650 1926626 1926654 "OINTDOM" 1926659 T OINTDOM (NIL) -9 NIL 1926680 NIL) (-815 1921429 1922640 1923356 "OFMONOID" 1924966 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-814 1920840 1921366 1921411 "ODVAR" 1921416 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-813 1918263 1920585 1920740 "ODR" 1920745 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-812 1910844 1918039 1918165 "ODPOL" 1918170 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-811 1904666 1910716 1910821 "ODP" 1910826 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-810 1903432 1903647 1903922 "ODETOOLS" 1904440 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-809 1900399 1901057 1901773 "ODESYS" 1902765 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-808 1895281 1896189 1897214 "ODERTRIC" 1899474 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-807 1894707 1894789 1894983 "ODERED" 1895193 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-806 1891595 1892143 1892820 "ODERAT" 1894130 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-805 1888552 1889019 1889616 "ODEPRRIC" 1891124 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-804 1886495 1887091 1887577 "ODEPROB" 1888086 T ODEPROB (NIL) -8 NIL NIL NIL) (-803 1883015 1883500 1884147 "ODEPRIM" 1885974 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-802 1882264 1882366 1882626 "ODEPAL" 1882907 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-801 1878426 1879217 1880081 "ODEPACK" 1881420 T ODEPACK (NIL) -7 NIL NIL NIL) (-800 1877487 1877594 1877816 "ODEINT" 1878315 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-799 1871588 1873013 1874460 "ODEIFTBL" 1876060 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-798 1866986 1867772 1868724 "ODEEF" 1870747 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-797 1866335 1866424 1866647 "ODECONST" 1866891 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-796 1864460 1865121 1865149 "ODECAT" 1865754 T ODECAT (NIL) -9 NIL 1866285 NIL) (-795 1861332 1864172 1864291 "OCT" 1864373 NIL OCT (NIL T) -8 NIL NIL NIL) (-794 1860970 1861013 1861140 "OCTCT2" 1861283 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-793 1855710 1858144 1858184 "OC" 1859281 NIL OC (NIL T) -9 NIL 1860139 NIL) (-792 1852937 1853685 1854675 "OC-" 1854769 NIL OC- (NIL T T) -8 NIL NIL NIL) (-791 1852289 1852757 1852785 "OCAMON" 1852790 T OCAMON (NIL) -9 NIL 1852811 NIL) (-790 1851820 1852161 1852189 "OASGP" 1852194 T OASGP (NIL) -9 NIL 1852214 NIL) (-789 1851081 1851570 1851598 "OAMONS" 1851638 T OAMONS (NIL) -9 NIL 1851681 NIL) (-788 1850495 1850928 1850956 "OAMON" 1850961 T OAMON (NIL) -9 NIL 1850981 NIL) (-787 1849773 1850291 1850319 "OAGROUP" 1850324 T OAGROUP (NIL) -9 NIL 1850344 NIL) (-786 1849463 1849513 1849601 "NUMTUBE" 1849717 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-785 1843036 1844554 1846090 "NUMQUAD" 1847947 T NUMQUAD (NIL) -7 NIL NIL NIL) (-784 1838792 1839780 1840805 "NUMODE" 1842031 T NUMODE (NIL) -7 NIL NIL NIL) (-783 1836147 1837027 1837055 "NUMINT" 1837978 T NUMINT (NIL) -9 NIL 1838742 NIL) (-782 1835095 1835292 1835510 "NUMFMT" 1835949 T NUMFMT (NIL) -7 NIL NIL NIL) (-781 1821454 1824399 1826931 "NUMERIC" 1832602 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-780 1815824 1820903 1820998 "NTSCAT" 1821003 NIL NTSCAT (NIL T T T T) -9 NIL 1821042 NIL) (-779 1815018 1815183 1815376 "NTPOLFN" 1815663 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-778 1803095 1811843 1812655 "NSUP" 1814239 NIL NSUP (NIL T) -8 NIL NIL NIL) (-777 1802727 1802784 1802893 "NSUP2" 1803032 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-776 1792955 1802501 1802634 "NSMP" 1802639 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-775 1791387 1791688 1792045 "NREP" 1792643 NIL NREP (NIL T) -7 NIL NIL NIL) (-774 1789978 1790230 1790588 "NPCOEF" 1791130 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-773 1789044 1789159 1789375 "NORMRETR" 1789859 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-772 1787085 1787375 1787784 "NORMPK" 1788752 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-771 1786770 1786798 1786922 "NORMMA" 1787051 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-770 1786570 1786727 1786756 "NONE" 1786761 T NONE (NIL) -8 NIL NIL NIL) (-769 1786359 1786388 1786457 "NONE1" 1786534 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-768 1785856 1785918 1786097 "NODE1" 1786291 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-767 1784099 1784950 1785205 "NNI" 1785552 T NNI (NIL) -8 NIL NIL 1785787) (-766 1782519 1782832 1783196 "NLINSOL" 1783767 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-765 1778760 1779755 1780654 "NIPROB" 1781640 T NIPROB (NIL) -8 NIL NIL NIL) (-764 1777517 1777751 1778053 "NFINTBAS" 1778522 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-763 1776691 1777167 1777208 "NETCLT" 1777380 NIL NETCLT (NIL T) -9 NIL 1777462 NIL) (-762 1775399 1775630 1775911 "NCODIV" 1776459 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-761 1775161 1775198 1775273 "NCNTFRAC" 1775356 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-760 1773341 1773705 1774125 "NCEP" 1774786 NIL NCEP (NIL T) -7 NIL NIL NIL) (-759 1772212 1772985 1773013 "NASRING" 1773123 T NASRING (NIL) -9 NIL 1773203 NIL) (-758 1772007 1772051 1772145 "NASRING-" 1772150 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-757 1771134 1771659 1771687 "NARNG" 1771804 T NARNG (NIL) -9 NIL 1771895 NIL) (-756 1770826 1770893 1771027 "NARNG-" 1771032 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-755 1769705 1769912 1770147 "NAGSP" 1770611 T NAGSP (NIL) -7 NIL NIL NIL) (-754 1760977 1762661 1764334 "NAGS" 1768052 T NAGS (NIL) -7 NIL NIL NIL) (-753 1759525 1759833 1760164 "NAGF07" 1760666 T NAGF07 (NIL) -7 NIL NIL NIL) (-752 1754063 1755354 1756661 "NAGF04" 1758238 T NAGF04 (NIL) -7 NIL NIL NIL) (-751 1747031 1748645 1750278 "NAGF02" 1752450 T NAGF02 (NIL) -7 NIL NIL NIL) (-750 1742255 1743355 1744472 "NAGF01" 1745934 T NAGF01 (NIL) -7 NIL NIL NIL) (-749 1735883 1737449 1739034 "NAGE04" 1740690 T NAGE04 (NIL) -7 NIL NIL NIL) (-748 1727052 1729173 1731303 "NAGE02" 1733773 T NAGE02 (NIL) -7 NIL NIL NIL) (-747 1723005 1723952 1724916 "NAGE01" 1726108 T NAGE01 (NIL) -7 NIL NIL NIL) (-746 1720800 1721334 1721892 "NAGD03" 1722467 T NAGD03 (NIL) -7 NIL NIL NIL) (-745 1712550 1714478 1716432 "NAGD02" 1718866 T NAGD02 (NIL) -7 NIL NIL NIL) (-744 1706361 1707786 1709226 "NAGD01" 1711130 T NAGD01 (NIL) -7 NIL NIL NIL) (-743 1702570 1703392 1704229 "NAGC06" 1705544 T NAGC06 (NIL) -7 NIL NIL NIL) (-742 1701035 1701367 1701723 "NAGC05" 1702234 T NAGC05 (NIL) -7 NIL NIL NIL) (-741 1700411 1700530 1700674 "NAGC02" 1700911 T NAGC02 (NIL) -7 NIL NIL NIL) (-740 1699445 1700028 1700068 "NAALG" 1700147 NIL NAALG (NIL T) -9 NIL 1700208 NIL) (-739 1699280 1699309 1699399 "NAALG-" 1699404 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-738 1693230 1694338 1695525 "MULTSQFR" 1698176 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-737 1692549 1692624 1692808 "MULTFACT" 1693142 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-736 1685607 1689512 1689565 "MTSCAT" 1690635 NIL MTSCAT (NIL T T) -9 NIL 1691149 NIL) (-735 1685319 1685373 1685465 "MTHING" 1685547 NIL MTHING (NIL T) -7 NIL NIL NIL) (-734 1685111 1685144 1685204 "MSYSCMD" 1685279 T MSYSCMD (NIL) -7 NIL NIL NIL) (-733 1681193 1683866 1684186 "MSET" 1684824 NIL MSET (NIL T) -8 NIL NIL NIL) (-732 1678262 1680754 1680795 "MSETAGG" 1680800 NIL MSETAGG (NIL T) -9 NIL 1680834 NIL) (-731 1674103 1675641 1676386 "MRING" 1677562 NIL MRING (NIL T T) -8 NIL NIL NIL) (-730 1673669 1673736 1673867 "MRF2" 1674030 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-729 1673287 1673322 1673466 "MRATFAC" 1673628 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-728 1670899 1671194 1671625 "MPRFF" 1672992 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-727 1665196 1670753 1670850 "MPOLY" 1670855 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-726 1664686 1664721 1664929 "MPCPF" 1665155 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-725 1664200 1664243 1664427 "MPC3" 1664637 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-724 1663395 1663476 1663697 "MPC2" 1664115 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-723 1661696 1662033 1662423 "MONOTOOL" 1663055 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-722 1660921 1661238 1661266 "MONOID" 1661485 T MONOID (NIL) -9 NIL 1661632 NIL) (-721 1660467 1660586 1660767 "MONOID-" 1660772 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-720 1651291 1657234 1657293 "MONOGEN" 1657967 NIL MONOGEN (NIL T T) -9 NIL 1658423 NIL) (-719 1648509 1649244 1650244 "MONOGEN-" 1650363 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-718 1647342 1647788 1647816 "MONADWU" 1648208 T MONADWU (NIL) -9 NIL 1648446 NIL) (-717 1646714 1646873 1647121 "MONADWU-" 1647126 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-716 1646073 1646317 1646345 "MONAD" 1646552 T MONAD (NIL) -9 NIL 1646664 NIL) (-715 1645758 1645836 1645968 "MONAD-" 1645973 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-714 1644047 1644671 1644950 "MOEBIUS" 1645511 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-713 1643413 1643817 1643857 "MODULE" 1643862 NIL MODULE (NIL T) -9 NIL 1643888 NIL) (-712 1642981 1643077 1643267 "MODULE-" 1643272 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-711 1640661 1641345 1641672 "MODRING" 1642805 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-710 1637605 1638766 1639287 "MODOP" 1640190 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-709 1636193 1636672 1636949 "MODMONOM" 1637468 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-708 1626235 1634484 1634898 "MODMON" 1635830 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-707 1623391 1625079 1625355 "MODFIELD" 1626110 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-706 1622368 1622672 1622862 "MMLFORM" 1623221 T MMLFORM (NIL) -8 NIL NIL NIL) (-705 1621894 1621937 1622116 "MMAP" 1622319 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-704 1620077 1620844 1620885 "MLO" 1621308 NIL MLO (NIL T) -9 NIL 1621550 NIL) (-703 1617443 1617959 1618561 "MLIFT" 1619558 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-702 1616834 1616918 1617072 "MKUCFUNC" 1617354 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-701 1616433 1616503 1616626 "MKRECORD" 1616757 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-700 1615480 1615642 1615870 "MKFUNC" 1616244 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-699 1614868 1614972 1615128 "MKFLCFN" 1615363 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-698 1614145 1614247 1614432 "MKBCFUNC" 1614761 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-697 1610852 1613699 1613835 "MINT" 1614029 T MINT (NIL) -8 NIL NIL NIL) (-696 1609664 1609907 1610184 "MHROWRED" 1610607 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-695 1605044 1608199 1608604 "MFLOAT" 1609279 T MFLOAT (NIL) -8 NIL NIL NIL) (-694 1604401 1604477 1604648 "MFINFACT" 1604956 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-693 1600716 1601564 1602448 "MESH" 1603537 T MESH (NIL) -7 NIL NIL NIL) (-692 1599106 1599418 1599771 "MDDFACT" 1600403 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-691 1595901 1598265 1598306 "MDAGG" 1598561 NIL MDAGG (NIL T) -9 NIL 1598704 NIL) (-690 1585644 1595194 1595401 "MCMPLX" 1595714 T MCMPLX (NIL) -8 NIL NIL NIL) (-689 1584785 1584931 1585131 "MCDEN" 1585493 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-688 1582675 1582945 1583325 "MCALCFN" 1584515 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-687 1581600 1581840 1582073 "MAYBE" 1582481 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-686 1579212 1579735 1580297 "MATSTOR" 1581071 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-685 1575169 1578584 1578832 "MATRIX" 1578997 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-684 1570933 1571642 1572378 "MATLIN" 1574526 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-683 1561039 1564225 1564302 "MATCAT" 1569182 NIL MATCAT (NIL T T T) -9 NIL 1570599 NIL) (-682 1557395 1558416 1559772 "MATCAT-" 1559777 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-681 1555989 1556142 1556475 "MATCAT2" 1557230 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-680 1554101 1554425 1554809 "MAPPKG3" 1555664 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-679 1553082 1553255 1553477 "MAPPKG2" 1553925 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-678 1551581 1551865 1552192 "MAPPKG1" 1552788 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-677 1550660 1550987 1551164 "MAPPAST" 1551424 T MAPPAST (NIL) -8 NIL NIL NIL) (-676 1550271 1550329 1550452 "MAPHACK3" 1550596 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-675 1549863 1549924 1550038 "MAPHACK2" 1550203 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-674 1549300 1549404 1549546 "MAPHACK1" 1549754 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-673 1547379 1548000 1548304 "MAGMA" 1549028 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-672 1546858 1547103 1547194 "MACROAST" 1547308 T MACROAST (NIL) -8 NIL NIL NIL) (-671 1543276 1545097 1545558 "M3D" 1546430 NIL M3D (NIL T) -8 NIL NIL NIL) (-670 1537382 1541645 1541686 "LZSTAGG" 1542468 NIL LZSTAGG (NIL T) -9 NIL 1542763 NIL) (-669 1533339 1534513 1535970 "LZSTAGG-" 1535975 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-668 1530426 1531230 1531717 "LWORD" 1532884 NIL LWORD (NIL T) -8 NIL NIL NIL) (-667 1530002 1530230 1530305 "LSTAST" 1530371 T LSTAST (NIL) -8 NIL NIL NIL) (-666 1523168 1529773 1529907 "LSQM" 1529912 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-665 1522392 1522531 1522759 "LSPP" 1523023 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-664 1520204 1520505 1520961 "LSMP" 1522081 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-663 1516983 1517657 1518387 "LSMP1" 1519506 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-662 1510860 1516150 1516191 "LSAGG" 1516253 NIL LSAGG (NIL T) -9 NIL 1516331 NIL) (-661 1507555 1508479 1509692 "LSAGG-" 1509697 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-660 1505154 1506699 1506948 "LPOLY" 1507350 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-659 1504736 1504821 1504944 "LPEFRAC" 1505063 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-658 1503057 1503830 1504083 "LO" 1504568 NIL LO (NIL T T T) -8 NIL NIL NIL) (-657 1502709 1502821 1502849 "LOGIC" 1502960 T LOGIC (NIL) -9 NIL 1503041 NIL) (-656 1502571 1502594 1502665 "LOGIC-" 1502670 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-655 1501764 1501904 1502097 "LODOOPS" 1502427 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-654 1499187 1501680 1501746 "LODO" 1501751 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-653 1497725 1497960 1498313 "LODOF" 1498934 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-652 1494047 1496478 1496519 "LODOCAT" 1496957 NIL LODOCAT (NIL T) -9 NIL 1497168 NIL) (-651 1493780 1493838 1493965 "LODOCAT-" 1493970 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-650 1491100 1493621 1493739 "LODO2" 1493744 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-649 1488535 1491037 1491082 "LODO1" 1491087 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-648 1487416 1487581 1487886 "LODEEF" 1488358 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-647 1482655 1485546 1485587 "LNAGG" 1486534 NIL LNAGG (NIL T) -9 NIL 1486978 NIL) (-646 1481802 1482016 1482358 "LNAGG-" 1482363 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-645 1477938 1478727 1479366 "LMOPS" 1481217 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-644 1477307 1477695 1477736 "LMODULE" 1477797 NIL LMODULE (NIL T) -9 NIL 1477839 NIL) (-643 1474505 1476952 1477075 "LMDICT" 1477217 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-642 1474204 1474413 1474473 "LITERAL" 1474478 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-641 1467387 1473150 1473448 "LIST" 1473939 NIL LIST (NIL T) -8 NIL NIL NIL) (-640 1466912 1466986 1467125 "LIST3" 1467307 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-639 1465919 1466097 1466325 "LIST2" 1466730 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-638 1464053 1464365 1464764 "LIST2MAP" 1465566 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-637 1462749 1463419 1463460 "LINEXP" 1463715 NIL LINEXP (NIL T) -9 NIL 1463864 NIL) (-636 1461396 1461656 1461953 "LINDEP" 1462501 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-635 1458163 1458882 1459659 "LIMITRF" 1460651 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-634 1456466 1456762 1457171 "LIMITPS" 1457858 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-633 1450894 1455977 1456205 "LIE" 1456287 NIL LIE (NIL T T) -8 NIL NIL NIL) (-632 1449917 1450386 1450426 "LIECAT" 1450566 NIL LIECAT (NIL T) -9 NIL 1450717 NIL) (-631 1449758 1449785 1449873 "LIECAT-" 1449878 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-630 1442254 1449207 1449372 "LIB" 1449613 T LIB (NIL) -8 NIL NIL NIL) (-629 1437889 1438772 1439707 "LGROBP" 1441371 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-628 1435898 1436172 1436521 "LF" 1437610 NIL LF (NIL T T) -7 NIL NIL NIL) (-627 1434738 1435430 1435458 "LFCAT" 1435665 T LFCAT (NIL) -9 NIL 1435804 NIL) (-626 1431640 1432270 1432958 "LEXTRIPK" 1434102 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-625 1428384 1429210 1429713 "LEXP" 1431220 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-624 1427860 1428105 1428197 "LETAST" 1428312 T LETAST (NIL) -8 NIL NIL NIL) (-623 1426258 1426571 1426972 "LEADCDET" 1427542 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-622 1425448 1425522 1425751 "LAZM3PK" 1426179 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-621 1420365 1423525 1424063 "LAUPOL" 1424960 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-620 1419944 1419988 1420149 "LAPLACE" 1420315 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-619 1417883 1419045 1419296 "LA" 1419777 NIL LA (NIL T T T) -8 NIL NIL NIL) (-618 1416930 1417514 1417555 "LALG" 1417617 NIL LALG (NIL T) -9 NIL 1417676 NIL) (-617 1416644 1416703 1416839 "LALG-" 1416844 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-616 1416479 1416503 1416544 "KVTFROM" 1416606 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-615 1415252 1415696 1415925 "KTVLOGIC" 1416270 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-614 1415087 1415111 1415152 "KRCFROM" 1415214 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-613 1413991 1414178 1414477 "KOVACIC" 1414887 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-612 1413826 1413850 1413891 "KONVERT" 1413953 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-611 1413661 1413685 1413726 "KOERCE" 1413788 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-610 1411343 1412131 1412532 "KERNEL" 1413293 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-609 1410845 1410926 1411056 "KERNEL2" 1411257 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-608 1404615 1409384 1409438 "KDAGG" 1409815 NIL KDAGG (NIL T T) -9 NIL 1410021 NIL) (-607 1404144 1404268 1404473 "KDAGG-" 1404478 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-606 1397292 1403805 1403960 "KAFILE" 1404022 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-605 1391720 1396803 1397031 "JORDAN" 1397113 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-604 1391099 1391369 1391490 "JOINAST" 1391619 T JOINAST (NIL) -8 NIL NIL NIL) (-603 1390945 1391004 1391059 "JAVACODE" 1391064 T JAVACODE (NIL) -8 NIL NIL NIL) (-602 1387197 1389150 1389204 "IXAGG" 1390133 NIL IXAGG (NIL T T) -9 NIL 1390592 NIL) (-601 1386116 1386422 1386841 "IXAGG-" 1386846 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-600 1381648 1386038 1386097 "IVECTOR" 1386102 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-599 1380414 1380651 1380917 "ITUPLE" 1381415 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-598 1378928 1379105 1379398 "ITRIGMNP" 1380236 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-597 1377673 1377877 1378160 "ITFUN3" 1378704 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-596 1377305 1377362 1377471 "ITFUN2" 1377610 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-595 1375107 1376167 1376466 "ITAYLOR" 1377039 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-594 1364052 1369244 1370407 "ISUPS" 1373977 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-593 1363156 1363296 1363532 "ISUMP" 1363899 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-592 1358370 1362957 1363036 "ISTRING" 1363109 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-591 1357846 1358091 1358183 "ISAST" 1358298 T ISAST (NIL) -8 NIL NIL NIL) (-590 1357056 1357137 1357353 "IRURPK" 1357760 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-589 1355992 1356193 1356433 "IRSN" 1356836 T IRSN (NIL) -7 NIL NIL NIL) (-588 1354063 1354418 1354847 "IRRF2F" 1355630 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-587 1353810 1353848 1353924 "IRREDFFX" 1354019 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-586 1352425 1352684 1352983 "IROOT" 1353543 NIL IROOT (NIL T) -7 NIL NIL NIL) (-585 1349029 1350109 1350801 "IR" 1351765 NIL IR (NIL T) -8 NIL NIL NIL) (-584 1346642 1347137 1347703 "IR2" 1348507 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-583 1345742 1345855 1346069 "IR2F" 1346525 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-582 1345533 1345567 1345627 "IPRNTPK" 1345702 T IPRNTPK (NIL) -7 NIL NIL NIL) (-581 1342113 1345422 1345491 "IPF" 1345496 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-580 1340440 1342038 1342095 "IPADIC" 1342100 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-579 1339752 1340000 1340130 "IP4ADDR" 1340330 T IP4ADDR (NIL) -8 NIL NIL NIL) (-578 1339225 1339456 1339566 "IOMODE" 1339662 T IOMODE (NIL) -8 NIL NIL NIL) (-577 1338298 1338822 1338949 "IOBFILE" 1339118 T IOBFILE (NIL) -8 NIL NIL NIL) (-576 1337786 1338202 1338230 "IOBCON" 1338235 T IOBCON (NIL) -9 NIL 1338256 NIL) (-575 1337297 1337355 1337538 "INVLAPLA" 1337722 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-574 1326945 1329299 1331685 "INTTR" 1334961 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-573 1323280 1324022 1324887 "INTTOOLS" 1326130 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-572 1322866 1322957 1323074 "INTSLPE" 1323183 T INTSLPE (NIL) -7 NIL NIL NIL) (-571 1320820 1322789 1322848 "INTRVL" 1322853 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-570 1318422 1318934 1319509 "INTRF" 1320305 NIL INTRF (NIL T) -7 NIL NIL NIL) (-569 1317833 1317930 1318072 "INTRET" 1318320 NIL INTRET (NIL T) -7 NIL NIL NIL) (-568 1315830 1316219 1316689 "INTRAT" 1317441 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-567 1313093 1313676 1314295 "INTPM" 1315315 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-566 1309837 1310437 1311175 "INTPAF" 1312479 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-565 1305016 1305978 1307029 "INTPACK" 1308806 T INTPACK (NIL) -7 NIL NIL NIL) (-564 1301893 1304745 1304872 "INT" 1304909 T INT (NIL) -8 NIL NIL NIL) (-563 1301145 1301297 1301505 "INTHERTR" 1301735 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-562 1300584 1300664 1300852 "INTHERAL" 1301059 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-561 1298430 1298873 1299330 "INTHEORY" 1300147 T INTHEORY (NIL) -7 NIL NIL NIL) (-560 1289836 1291457 1293229 "INTG0" 1296782 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-559 1270409 1275199 1280009 "INTFTBL" 1285046 T INTFTBL (NIL) -8 NIL NIL NIL) (-558 1269658 1269796 1269969 "INTFACT" 1270268 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-557 1267085 1267531 1268088 "INTEF" 1269212 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-556 1265518 1266257 1266285 "INTDOM" 1266586 T INTDOM (NIL) -9 NIL 1266793 NIL) (-555 1264887 1265061 1265303 "INTDOM-" 1265308 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-554 1261347 1263271 1263325 "INTCAT" 1264124 NIL INTCAT (NIL T) -9 NIL 1264444 NIL) (-553 1260819 1260922 1261050 "INTBIT" 1261239 T INTBIT (NIL) -7 NIL NIL NIL) (-552 1259518 1259672 1259979 "INTALG" 1260664 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-551 1259001 1259091 1259248 "INTAF" 1259422 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-550 1252344 1258811 1258951 "INTABL" 1258956 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-549 1251648 1252114 1252179 "INT8" 1252213 T INT8 (NIL) -8 NIL NIL 1252258) (-548 1250951 1251417 1251482 "INT64" 1251516 T INT64 (NIL) -8 NIL NIL 1251561) (-547 1250254 1250720 1250785 "INT32" 1250819 T INT32 (NIL) -8 NIL NIL 1250864) (-546 1249557 1250023 1250088 "INT16" 1250122 T INT16 (NIL) -8 NIL NIL 1250167) (-545 1244537 1247246 1247274 "INS" 1248208 T INS (NIL) -9 NIL 1248873 NIL) (-544 1241777 1242548 1243522 "INS-" 1243595 NIL INS- (NIL T) -8 NIL NIL NIL) (-543 1240552 1240779 1241077 "INPSIGN" 1241530 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-542 1239670 1239787 1239984 "INPRODPF" 1240432 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-541 1238564 1238681 1238918 "INPRODFF" 1239550 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-540 1237564 1237716 1237976 "INNMFACT" 1238400 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-539 1236761 1236858 1237046 "INMODGCD" 1237463 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-538 1235269 1235514 1235838 "INFSP" 1236506 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-537 1234453 1234570 1234753 "INFPROD0" 1235149 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-536 1231308 1232518 1233033 "INFORM" 1233946 T INFORM (NIL) -8 NIL NIL NIL) (-535 1230918 1230978 1231076 "INFORM1" 1231243 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-534 1230441 1230530 1230644 "INFINITY" 1230824 T INFINITY (NIL) -7 NIL NIL NIL) (-533 1229617 1230161 1230262 "INETCLTS" 1230360 T INETCLTS (NIL) -8 NIL NIL NIL) (-532 1228233 1228483 1228804 "INEP" 1229365 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-531 1227482 1228130 1228195 "INDE" 1228200 NIL INDE (NIL T) -8 NIL NIL NIL) (-530 1227046 1227114 1227231 "INCRMAPS" 1227409 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-529 1225864 1226315 1226521 "INBFILE" 1226860 T INBFILE (NIL) -8 NIL NIL NIL) (-528 1221164 1222100 1223044 "INBFF" 1224952 NIL INBFF (NIL T) -7 NIL NIL NIL) (-527 1220072 1220341 1220369 "INBCON" 1220882 T INBCON (NIL) -9 NIL 1221148 NIL) (-526 1219324 1219547 1219823 "INBCON-" 1219828 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-525 1218803 1219048 1219139 "INAST" 1219253 T INAST (NIL) -8 NIL NIL NIL) (-524 1218230 1218482 1218588 "IMPTAST" 1218717 T IMPTAST (NIL) -8 NIL NIL NIL) (-523 1214676 1218074 1218178 "IMATRIX" 1218183 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-522 1213388 1213511 1213826 "IMATQF" 1214532 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-521 1211608 1211835 1212172 "IMATLIN" 1213144 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-520 1206186 1211532 1211590 "ILIST" 1211595 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-519 1204091 1206046 1206159 "IIARRAY2" 1206164 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-518 1199489 1204002 1204066 "IFF" 1204071 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-517 1198836 1199106 1199222 "IFAST" 1199393 T IFAST (NIL) -8 NIL NIL NIL) (-516 1193831 1198128 1198316 "IFARRAY" 1198693 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-515 1193011 1193735 1193808 "IFAMON" 1193813 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-514 1192595 1192660 1192714 "IEVALAB" 1192921 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-513 1192270 1192338 1192498 "IEVALAB-" 1192503 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-512 1191901 1192184 1192247 "IDPO" 1192252 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-511 1191151 1191790 1191865 "IDPOAMS" 1191870 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-510 1190458 1191040 1191115 "IDPOAM" 1191120 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-509 1189517 1189793 1189846 "IDPC" 1190259 NIL IDPC (NIL T T) -9 NIL 1190408 NIL) (-508 1188986 1189409 1189482 "IDPAM" 1189487 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-507 1188362 1188878 1188951 "IDPAG" 1188956 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-506 1188007 1188198 1188273 "IDENT" 1188307 T IDENT (NIL) -8 NIL NIL NIL) (-505 1184262 1185110 1186005 "IDECOMP" 1187164 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-504 1177099 1178185 1179232 "IDEAL" 1183298 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-503 1176263 1176375 1176574 "ICDEN" 1176983 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-502 1175334 1175743 1175890 "ICARD" 1176136 T ICARD (NIL) -8 NIL NIL NIL) (-501 1173394 1173707 1174112 "IBPTOOLS" 1175011 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-500 1169001 1173014 1173127 "IBITS" 1173313 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-499 1165724 1166300 1166995 "IBATOOL" 1168418 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-498 1163503 1163965 1164498 "IBACHIN" 1165259 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-497 1161332 1163349 1163452 "IARRAY2" 1163457 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-496 1157438 1161258 1161315 "IARRAY1" 1161320 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-495 1151547 1155850 1156331 "IAN" 1156977 T IAN (NIL) -8 NIL NIL NIL) (-494 1151058 1151115 1151288 "IALGFACT" 1151484 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-493 1150586 1150699 1150727 "HYPCAT" 1150934 T HYPCAT (NIL) -9 NIL NIL NIL) (-492 1150124 1150241 1150427 "HYPCAT-" 1150432 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-491 1149719 1149919 1150002 "HOSTNAME" 1150061 T HOSTNAME (NIL) -8 NIL NIL NIL) (-490 1149564 1149601 1149642 "HOMOTOP" 1149647 NIL HOMOTOP (NIL T) -9 NIL 1149680 NIL) (-489 1146196 1147574 1147615 "HOAGG" 1148596 NIL HOAGG (NIL T) -9 NIL 1149275 NIL) (-488 1144790 1145189 1145715 "HOAGG-" 1145720 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-487 1138794 1144385 1144534 "HEXADEC" 1144661 T HEXADEC (NIL) -8 NIL NIL NIL) (-486 1137542 1137764 1138027 "HEUGCD" 1138571 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-485 1136618 1137379 1137509 "HELLFDIV" 1137514 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-484 1134797 1136395 1136483 "HEAP" 1136562 NIL HEAP (NIL T) -8 NIL NIL NIL) (-483 1134060 1134349 1134483 "HEADAST" 1134683 T HEADAST (NIL) -8 NIL NIL NIL) (-482 1127926 1133975 1134037 "HDP" 1134042 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-481 1121914 1127561 1127713 "HDMP" 1127827 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-480 1121238 1121378 1121542 "HB" 1121770 T HB (NIL) -7 NIL NIL NIL) (-479 1114624 1121084 1121188 "HASHTBL" 1121193 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-478 1114100 1114345 1114437 "HASAST" 1114552 T HASAST (NIL) -8 NIL NIL NIL) (-477 1111878 1113722 1113904 "HACKPI" 1113938 T HACKPI (NIL) -8 NIL NIL NIL) (-476 1107546 1111731 1111844 "GTSET" 1111849 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-475 1100961 1107424 1107522 "GSTBL" 1107527 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-474 1093239 1099992 1100257 "GSERIES" 1100752 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-473 1092380 1092797 1092825 "GROUP" 1093028 T GROUP (NIL) -9 NIL 1093162 NIL) (-472 1091746 1091905 1092156 "GROUP-" 1092161 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-471 1090113 1090434 1090821 "GROEBSOL" 1091423 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-470 1089027 1089315 1089366 "GRMOD" 1089895 NIL GRMOD (NIL T T) -9 NIL 1090063 NIL) (-469 1088795 1088831 1088959 "GRMOD-" 1088964 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-468 1084085 1085149 1086149 "GRIMAGE" 1087815 T GRIMAGE (NIL) -8 NIL NIL NIL) (-467 1082551 1082812 1083136 "GRDEF" 1083781 T GRDEF (NIL) -7 NIL NIL NIL) (-466 1081995 1082111 1082252 "GRAY" 1082430 T GRAY (NIL) -7 NIL NIL NIL) (-465 1081182 1081588 1081639 "GRALG" 1081792 NIL GRALG (NIL T T) -9 NIL 1081885 NIL) (-464 1080843 1080916 1081079 "GRALG-" 1081084 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-463 1077620 1080428 1080606 "GPOLSET" 1080750 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-462 1076974 1077031 1077289 "GOSPER" 1077557 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-461 1072706 1073412 1073938 "GMODPOL" 1076673 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-460 1071711 1071895 1072133 "GHENSEL" 1072518 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-459 1065867 1066710 1067730 "GENUPS" 1070795 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-458 1065564 1065615 1065704 "GENUFACT" 1065810 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-457 1064976 1065053 1065218 "GENPGCD" 1065482 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-456 1064450 1064485 1064698 "GENMFACT" 1064935 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-455 1063016 1063273 1063580 "GENEEZ" 1064193 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-454 1057162 1062627 1062789 "GDMP" 1062939 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-453 1046504 1050933 1052039 "GCNAALG" 1056145 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-452 1044897 1045759 1045787 "GCDDOM" 1046042 T GCDDOM (NIL) -9 NIL 1046199 NIL) (-451 1044367 1044494 1044709 "GCDDOM-" 1044714 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-450 1043039 1043224 1043528 "GB" 1044146 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-449 1031655 1033985 1036377 "GBINTERN" 1040730 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-448 1029492 1029784 1030205 "GBF" 1031330 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-447 1028273 1028438 1028705 "GBEUCLID" 1029308 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-446 1027622 1027747 1027896 "GAUSSFAC" 1028144 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-445 1025989 1026291 1026605 "GALUTIL" 1027341 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-444 1024297 1024571 1024895 "GALPOLYU" 1025716 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-443 1021662 1021952 1022359 "GALFACTU" 1023994 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-442 1013468 1014967 1016575 "GALFACT" 1020094 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-441 1010856 1011514 1011542 "FVFUN" 1012698 T FVFUN (NIL) -9 NIL 1013418 NIL) (-440 1010122 1010304 1010332 "FVC" 1010623 T FVC (NIL) -9 NIL 1010806 NIL) (-439 1009765 1009947 1010015 "FUNDESC" 1010074 T FUNDESC (NIL) -8 NIL NIL NIL) (-438 1009380 1009562 1009643 "FUNCTION" 1009717 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-437 1007124 1007702 1008168 "FT" 1008934 T FT (NIL) -8 NIL NIL NIL) (-436 1005915 1006425 1006628 "FTEM" 1006941 T FTEM (NIL) -8 NIL NIL NIL) (-435 1004206 1004495 1004892 "FSUPFACT" 1005606 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-434 1002603 1002892 1003224 "FST" 1003894 T FST (NIL) -8 NIL NIL NIL) (-433 1001802 1001908 1002096 "FSRED" 1002485 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-432 1000501 1000757 1001104 "FSPRMELT" 1001517 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-431 997807 998245 998731 "FSPECF" 1000064 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-430 979962 988286 988327 "FS" 992211 NIL FS (NIL T) -9 NIL 994500 NIL) (-429 968605 971598 975655 "FS-" 975955 NIL FS- (NIL T T) -8 NIL NIL NIL) (-428 968133 968187 968357 "FSINT" 968546 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-427 966425 967126 967429 "FSERIES" 967912 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-426 965467 965583 965807 "FSCINT" 966305 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-425 961675 964411 964452 "FSAGG" 964822 NIL FSAGG (NIL T) -9 NIL 965081 NIL) (-424 959437 960038 960834 "FSAGG-" 960929 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-423 958479 958622 958849 "FSAGG2" 959290 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-422 956161 956441 956988 "FS2UPS" 958197 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-421 955795 955838 955967 "FS2" 956112 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-420 954673 954844 955146 "FS2EXPXP" 955620 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-419 954099 954214 954366 "FRUTIL" 954553 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-418 945512 949594 950952 "FR" 952773 NIL FR (NIL T) -8 NIL NIL NIL) (-417 940560 943230 943270 "FRNAALG" 944666 NIL FRNAALG (NIL T) -9 NIL 945273 NIL) (-416 936233 937309 938584 "FRNAALG-" 939334 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-415 935871 935914 936041 "FRNAAF2" 936184 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-414 934251 934725 935020 "FRMOD" 935683 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-413 932002 932634 932951 "FRIDEAL" 934042 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-412 931197 931284 931573 "FRIDEAL2" 931909 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-411 930330 930744 930785 "FRETRCT" 930790 NIL FRETRCT (NIL T) -9 NIL 930966 NIL) (-410 929442 929673 930024 "FRETRCT-" 930029 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-409 926620 927830 927889 "FRAMALG" 928771 NIL FRAMALG (NIL T T) -9 NIL 929063 NIL) (-408 924754 925209 925839 "FRAMALG-" 926062 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-407 918675 924229 924505 "FRAC" 924510 NIL FRAC (NIL T) -8 NIL NIL NIL) (-406 918311 918368 918475 "FRAC2" 918612 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-405 917947 918004 918111 "FR2" 918248 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-404 912585 915472 915500 "FPS" 916619 T FPS (NIL) -9 NIL 917176 NIL) (-403 912034 912143 912307 "FPS-" 912453 NIL FPS- (NIL T) -8 NIL NIL NIL) (-402 909454 911123 911151 "FPC" 911376 T FPC (NIL) -9 NIL 911518 NIL) (-401 909247 909287 909384 "FPC-" 909389 NIL FPC- (NIL T) -8 NIL NIL NIL) (-400 908037 908735 908776 "FPATMAB" 908781 NIL FPATMAB (NIL T) -9 NIL 908933 NIL) (-399 905710 906213 906639 "FPARFRAC" 907674 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-398 901103 901602 902284 "FORTRAN" 905142 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-397 898819 899319 899858 "FORT" 900584 T FORT (NIL) -7 NIL NIL NIL) (-396 896495 897057 897085 "FORTFN" 898145 T FORTFN (NIL) -9 NIL 898769 NIL) (-395 896259 896309 896337 "FORTCAT" 896396 T FORTCAT (NIL) -9 NIL 896458 NIL) (-394 894365 894875 895265 "FORMULA" 895889 T FORMULA (NIL) -8 NIL NIL NIL) (-393 894153 894183 894252 "FORMULA1" 894329 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-392 893676 893728 893901 "FORDER" 894095 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-391 892772 892936 893129 "FOP" 893503 T FOP (NIL) -7 NIL NIL NIL) (-390 891353 892052 892226 "FNLA" 892654 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-389 890082 890497 890525 "FNCAT" 890985 T FNCAT (NIL) -9 NIL 891245 NIL) (-388 889621 890041 890069 "FNAME" 890074 T FNAME (NIL) -8 NIL NIL NIL) (-387 888250 889213 889241 "FMTC" 889246 T FMTC (NIL) -9 NIL 889282 NIL) (-386 884583 885773 886402 "FMONOID" 887654 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-385 883775 884325 884474 "FM" 884479 NIL FM (NIL T T) -8 NIL NIL NIL) (-384 881199 881845 881873 "FMFUN" 883017 T FMFUN (NIL) -9 NIL 883725 NIL) (-383 880468 880649 880677 "FMC" 880967 T FMC (NIL) -9 NIL 881149 NIL) (-382 877636 878496 878550 "FMCAT" 879745 NIL FMCAT (NIL T T) -9 NIL 880240 NIL) (-381 876502 877402 877502 "FM1" 877581 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-380 874276 874692 875186 "FLOATRP" 876053 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-379 867850 872005 872626 "FLOAT" 873675 T FLOAT (NIL) -8 NIL NIL NIL) (-378 865288 865788 866366 "FLOATCP" 867317 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-377 864063 864901 864942 "FLINEXP" 864947 NIL FLINEXP (NIL T) -9 NIL 865040 NIL) (-376 863217 863452 863780 "FLINEXP-" 863785 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-375 862293 862437 862661 "FLASORT" 863069 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-374 859484 860352 860404 "FLALG" 861631 NIL FLALG (NIL T T) -9 NIL 862098 NIL) (-373 853220 856970 857011 "FLAGG" 858273 NIL FLAGG (NIL T) -9 NIL 858925 NIL) (-372 851946 852285 852775 "FLAGG-" 852780 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-371 850988 851131 851358 "FLAGG2" 851799 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-370 847929 848937 848996 "FINRALG" 850124 NIL FINRALG (NIL T T) -9 NIL 850632 NIL) (-369 847089 847318 847657 "FINRALG-" 847662 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-368 846469 846708 846736 "FINITE" 846932 T FINITE (NIL) -9 NIL 847039 NIL) (-367 838901 841088 841128 "FINAALG" 844795 NIL FINAALG (NIL T) -9 NIL 846248 NIL) (-366 834233 835283 836427 "FINAALG-" 837806 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-365 833601 833988 834091 "FILE" 834163 NIL FILE (NIL T) -8 NIL NIL NIL) (-364 832259 832597 832651 "FILECAT" 833335 NIL FILECAT (NIL T T) -9 NIL 833551 NIL) (-363 830093 831621 831649 "FIELD" 831689 T FIELD (NIL) -9 NIL 831769 NIL) (-362 828713 829098 829609 "FIELD-" 829614 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-361 826563 827348 827695 "FGROUP" 828399 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-360 825653 825817 826037 "FGLMICPK" 826395 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-359 821485 825578 825635 "FFX" 825640 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-358 821086 821147 821282 "FFSLPE" 821418 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-357 817075 817858 818654 "FFPOLY" 820322 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-356 816579 816615 816824 "FFPOLY2" 817033 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-355 812422 816498 816561 "FFP" 816566 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-354 807820 812333 812397 "FF" 812402 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-353 802946 807163 807353 "FFNBX" 807674 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-352 797875 802081 802339 "FFNBP" 802800 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-351 792508 797159 797370 "FFNB" 797708 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-350 791340 791538 791853 "FFINTBAS" 792305 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-349 787533 789747 789775 "FFIELDC" 790395 T FFIELDC (NIL) -9 NIL 790771 NIL) (-348 786195 786566 787063 "FFIELDC-" 787068 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-347 785764 785810 785934 "FFHOM" 786137 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-346 783459 783946 784463 "FFF" 785279 NIL FFF (NIL T) -7 NIL NIL NIL) (-345 779077 783201 783302 "FFCGX" 783402 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-344 774698 778809 778916 "FFCGP" 779020 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-343 769881 774425 774533 "FFCG" 774634 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-342 751679 760752 760838 "FFCAT" 766003 NIL FFCAT (NIL T T T) -9 NIL 767454 NIL) (-341 746877 747924 749238 "FFCAT-" 750468 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-340 746288 746331 746566 "FFCAT2" 746828 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-339 735610 739260 740480 "FEXPR" 745140 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-338 734610 735045 735086 "FEVALAB" 735170 NIL FEVALAB (NIL T) -9 NIL 735431 NIL) (-337 733769 733979 734317 "FEVALAB-" 734322 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-336 732335 733152 733355 "FDIV" 733668 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-335 729375 730116 730231 "FDIVCAT" 731799 NIL FDIVCAT (NIL T T T T) -9 NIL 732236 NIL) (-334 729137 729164 729334 "FDIVCAT-" 729339 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-333 728357 728444 728721 "FDIV2" 729044 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-332 727043 727302 727591 "FCPAK1" 728088 T FCPAK1 (NIL) -7 NIL NIL NIL) (-331 726142 726543 726684 "FCOMP" 726934 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-330 709844 713292 716830 "FC" 722624 T FC (NIL) -8 NIL NIL NIL) (-329 702388 706408 706448 "FAXF" 708250 NIL FAXF (NIL T) -9 NIL 708942 NIL) (-328 699664 700322 701147 "FAXF-" 701612 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-327 694716 699040 699216 "FARRAY" 699521 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-326 689935 692001 692054 "FAMR" 693077 NIL FAMR (NIL T T) -9 NIL 693537 NIL) (-325 688825 689127 689562 "FAMR-" 689567 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-324 687994 688747 688800 "FAMONOID" 688805 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-323 685780 686490 686543 "FAMONC" 687484 NIL FAMONC (NIL T T) -9 NIL 687870 NIL) (-322 684445 685534 685671 "FAGROUP" 685676 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-321 682240 682559 682962 "FACUTIL" 684126 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-320 681339 681524 681746 "FACTFUNC" 682050 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-319 673761 680642 680841 "EXPUPXS" 681195 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-318 671244 671784 672370 "EXPRTUBE" 673195 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-317 667515 668107 668837 "EXPRODE" 670583 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-316 653000 666164 666593 "EXPR" 667119 NIL EXPR (NIL T) -8 NIL NIL NIL) (-315 647554 648141 648947 "EXPR2UPS" 652298 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-314 647186 647243 647352 "EXPR2" 647491 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-313 638577 646339 646629 "EXPEXPAN" 647023 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-312 638377 638534 638563 "EXIT" 638568 T EXIT (NIL) -8 NIL NIL NIL) (-311 637857 638101 638192 "EXITAST" 638306 T EXITAST (NIL) -8 NIL NIL NIL) (-310 637484 637546 637659 "EVALCYC" 637789 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-309 637025 637143 637184 "EVALAB" 637354 NIL EVALAB (NIL T) -9 NIL 637458 NIL) (-308 636506 636628 636849 "EVALAB-" 636854 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-307 633940 635242 635270 "EUCDOM" 635825 T EUCDOM (NIL) -9 NIL 636175 NIL) (-306 632345 632787 633377 "EUCDOM-" 633382 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-305 619883 622643 625393 "ESTOOLS" 629615 T ESTOOLS (NIL) -7 NIL NIL NIL) (-304 619515 619572 619681 "ESTOOLS2" 619820 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-303 619266 619308 619388 "ESTOOLS1" 619467 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-302 613303 614911 614939 "ES" 617707 T ES (NIL) -9 NIL 619117 NIL) (-301 608250 609537 611354 "ES-" 611518 NIL ES- (NIL T) -8 NIL NIL NIL) (-300 604624 605385 606165 "ESCONT" 607490 T ESCONT (NIL) -7 NIL NIL NIL) (-299 604369 604401 604483 "ESCONT1" 604586 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-298 604044 604094 604194 "ES2" 604313 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-297 603674 603732 603841 "ES1" 603980 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-296 602890 603019 603195 "ERROR" 603518 T ERROR (NIL) -7 NIL NIL NIL) (-295 596282 602749 602840 "EQTBL" 602845 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-294 588785 591596 593045 "EQ" 594866 NIL -2077 (NIL T) -8 NIL NIL NIL) (-293 588417 588474 588583 "EQ2" 588722 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-292 583706 584755 585848 "EP" 587356 NIL EP (NIL T) -7 NIL NIL NIL) (-291 582306 582597 582903 "ENV" 583420 T ENV (NIL) -8 NIL NIL NIL) (-290 581451 582005 582033 "ENTIRER" 582038 T ENTIRER (NIL) -9 NIL 582084 NIL) (-289 577918 579406 579776 "EMR" 581250 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-288 577062 577247 577301 "ELTAGG" 577681 NIL ELTAGG (NIL T T) -9 NIL 577892 NIL) (-287 576781 576843 576984 "ELTAGG-" 576989 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-286 576570 576599 576653 "ELTAB" 576737 NIL ELTAB (NIL T T) -9 NIL NIL NIL) (-285 575696 575842 576041 "ELFUTS" 576421 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-284 575438 575494 575522 "ELEMFUN" 575627 T ELEMFUN (NIL) -9 NIL NIL NIL) (-283 575308 575329 575397 "ELEMFUN-" 575402 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-282 570152 573408 573449 "ELAGG" 574389 NIL ELAGG (NIL T) -9 NIL 574852 NIL) (-281 568437 568871 569534 "ELAGG-" 569539 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-280 567102 567380 567673 "ELABEXPR" 568164 T ELABEXPR (NIL) -8 NIL NIL NIL) (-279 559966 561769 562596 "EFUPXS" 566378 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-278 553416 555217 556027 "EFULS" 559242 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-277 550901 551259 551731 "EFSTRUC" 553048 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-276 540752 542318 543865 "EF" 549416 NIL EF (NIL T T) -7 NIL NIL NIL) (-275 539826 540237 540386 "EAB" 540623 T EAB (NIL) -8 NIL NIL NIL) (-274 539008 539785 539813 "E04UCFA" 539818 T E04UCFA (NIL) -8 NIL NIL NIL) (-273 538190 538967 538995 "E04NAFA" 539000 T E04NAFA (NIL) -8 NIL NIL NIL) (-272 537372 538149 538177 "E04MBFA" 538182 T E04MBFA (NIL) -8 NIL NIL NIL) (-271 536554 537331 537359 "E04JAFA" 537364 T E04JAFA (NIL) -8 NIL NIL NIL) (-270 535738 536513 536541 "E04GCFA" 536546 T E04GCFA (NIL) -8 NIL NIL NIL) (-269 534922 535697 535725 "E04FDFA" 535730 T E04FDFA (NIL) -8 NIL NIL NIL) (-268 534104 534881 534909 "E04DGFA" 534914 T E04DGFA (NIL) -8 NIL NIL NIL) (-267 528277 529629 530993 "E04AGNT" 532760 T E04AGNT (NIL) -7 NIL NIL NIL) (-266 526957 527463 527503 "DVARCAT" 527978 NIL DVARCAT (NIL T) -9 NIL 528177 NIL) (-265 526161 526373 526687 "DVARCAT-" 526692 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-264 519298 525960 526089 "DSMP" 526094 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-263 514080 515243 516311 "DROPT" 518250 T DROPT (NIL) -8 NIL NIL NIL) (-262 513745 513804 513902 "DROPT1" 514015 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-261 508860 509986 511123 "DROPT0" 512628 T DROPT0 (NIL) -7 NIL NIL NIL) (-260 507205 507530 507916 "DRAWPT" 508494 T DRAWPT (NIL) -7 NIL NIL NIL) (-259 501792 502715 503794 "DRAW" 506179 NIL DRAW (NIL T) -7 NIL NIL NIL) (-258 501425 501478 501596 "DRAWHACK" 501733 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-257 500156 500425 500716 "DRAWCX" 501154 T DRAWCX (NIL) -7 NIL NIL NIL) (-256 499671 499740 499891 "DRAWCURV" 500082 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-255 490139 492101 494216 "DRAWCFUN" 497576 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-254 486905 488834 488875 "DQAGG" 489504 NIL DQAGG (NIL T) -9 NIL 489777 NIL) (-253 475449 481910 481993 "DPOLCAT" 483845 NIL DPOLCAT (NIL T T T T) -9 NIL 484390 NIL) (-252 470285 471634 473592 "DPOLCAT-" 473597 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-251 463407 470146 470244 "DPMO" 470249 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-250 456432 463187 463354 "DPMM" 463359 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-249 456037 456351 456399 "DOMCTOR" 456404 T DOMCTOR (NIL) -8 NIL NIL NIL) (-248 455305 455559 455696 "DOMAIN" 455920 T DOMAIN (NIL) -8 NIL NIL NIL) (-247 449293 454940 455092 "DMP" 455206 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-246 448893 448949 449093 "DLP" 449231 NIL DLP (NIL T) -7 NIL NIL NIL) (-245 442715 448220 448410 "DLIST" 448735 NIL DLIST (NIL T) -8 NIL NIL NIL) (-244 439512 441568 441609 "DLAGG" 442159 NIL DLAGG (NIL T) -9 NIL 442389 NIL) (-243 438291 438955 438983 "DIVRING" 439075 T DIVRING (NIL) -9 NIL 439158 NIL) (-242 437528 437718 438018 "DIVRING-" 438023 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-241 435630 435987 436393 "DISPLAY" 437142 T DISPLAY (NIL) -7 NIL NIL NIL) (-240 429518 435544 435607 "DIRPROD" 435612 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-239 428366 428569 428834 "DIRPROD2" 429311 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-238 417575 423581 423634 "DIRPCAT" 424044 NIL DIRPCAT (NIL NIL T) -9 NIL 424884 NIL) (-237 414901 415543 416424 "DIRPCAT-" 416761 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-236 414188 414348 414534 "DIOSP" 414735 T DIOSP (NIL) -7 NIL NIL NIL) (-235 410843 413100 413141 "DIOPS" 413575 NIL DIOPS (NIL T) -9 NIL 413804 NIL) (-234 410392 410506 410697 "DIOPS-" 410702 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-233 409250 409878 409906 "DIFRING" 410093 T DIFRING (NIL) -9 NIL 410203 NIL) (-232 408896 408973 409125 "DIFRING-" 409130 NIL DIFRING- (NIL T) -8 NIL NIL NIL) (-231 406667 407939 407980 "DIFEXT" 408343 NIL DIFEXT (NIL T) -9 NIL 408637 NIL) (-230 404952 405380 406046 "DIFEXT-" 406051 NIL DIFEXT- (NIL T T) -8 NIL NIL NIL) (-229 402227 404484 404525 "DIAGG" 404530 NIL DIAGG (NIL T) -9 NIL 404550 NIL) (-228 401611 401768 402020 "DIAGG-" 402025 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-227 397028 400570 400847 "DHMATRIX" 401380 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-226 392640 393549 394559 "DFSFUN" 396038 T DFSFUN (NIL) -7 NIL NIL NIL) (-225 387718 391571 391883 "DFLOAT" 392348 T DFLOAT (NIL) -8 NIL NIL NIL) (-224 385981 386262 386651 "DFINTTLS" 387426 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-223 383010 384002 384402 "DERHAM" 385647 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-222 380811 382785 382874 "DEQUEUE" 382954 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-221 380065 380198 380381 "DEGRED" 380673 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-220 376495 377240 378086 "DEFINTRF" 379293 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-219 374050 374519 375111 "DEFINTEF" 376014 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-218 373400 373670 373785 "DEFAST" 373955 T DEFAST (NIL) -8 NIL NIL NIL) (-217 367404 372995 373144 "DECIMAL" 373271 T DECIMAL (NIL) -8 NIL NIL NIL) (-216 364916 365374 365880 "DDFACT" 366948 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-215 364512 364555 364706 "DBLRESP" 364867 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-214 362384 362745 363105 "DBASE" 364279 NIL DBASE (NIL T) -8 NIL NIL NIL) (-213 361626 361864 362010 "DATAARY" 362283 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-212 360732 361585 361613 "D03FAFA" 361618 T D03FAFA (NIL) -8 NIL NIL NIL) (-211 359839 360691 360719 "D03EEFA" 360724 T D03EEFA (NIL) -8 NIL NIL NIL) (-210 357789 358255 358744 "D03AGNT" 359370 T D03AGNT (NIL) -7 NIL NIL NIL) (-209 357078 357748 357776 "D02EJFA" 357781 T D02EJFA (NIL) -8 NIL NIL NIL) (-208 356367 357037 357065 "D02CJFA" 357070 T D02CJFA (NIL) -8 NIL NIL NIL) (-207 355656 356326 356354 "D02BHFA" 356359 T D02BHFA (NIL) -8 NIL NIL NIL) (-206 354945 355615 355643 "D02BBFA" 355648 T D02BBFA (NIL) -8 NIL NIL NIL) (-205 348142 349731 351337 "D02AGNT" 353359 T D02AGNT (NIL) -7 NIL NIL NIL) (-204 345910 346433 346979 "D01WGTS" 347616 T D01WGTS (NIL) -7 NIL NIL NIL) (-203 344977 345869 345897 "D01TRNS" 345902 T D01TRNS (NIL) -8 NIL NIL NIL) (-202 344045 344936 344964 "D01GBFA" 344969 T D01GBFA (NIL) -8 NIL NIL NIL) (-201 343113 344004 344032 "D01FCFA" 344037 T D01FCFA (NIL) -8 NIL NIL NIL) (-200 342181 343072 343100 "D01ASFA" 343105 T D01ASFA (NIL) -8 NIL NIL NIL) (-199 341249 342140 342168 "D01AQFA" 342173 T D01AQFA (NIL) -8 NIL NIL NIL) (-198 340317 341208 341236 "D01APFA" 341241 T D01APFA (NIL) -8 NIL NIL NIL) (-197 339385 340276 340304 "D01ANFA" 340309 T D01ANFA (NIL) -8 NIL NIL NIL) (-196 338453 339344 339372 "D01AMFA" 339377 T D01AMFA (NIL) -8 NIL NIL NIL) (-195 337521 338412 338440 "D01ALFA" 338445 T D01ALFA (NIL) -8 NIL NIL NIL) (-194 336589 337480 337508 "D01AKFA" 337513 T D01AKFA (NIL) -8 NIL NIL NIL) (-193 335657 336548 336576 "D01AJFA" 336581 T D01AJFA (NIL) -8 NIL NIL NIL) (-192 328952 330505 332066 "D01AGNT" 334116 T D01AGNT (NIL) -7 NIL NIL NIL) (-191 328289 328417 328569 "CYCLOTOM" 328820 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-190 325024 325737 326464 "CYCLES" 327582 T CYCLES (NIL) -7 NIL NIL NIL) (-189 324336 324470 324641 "CVMP" 324885 NIL CVMP (NIL T) -7 NIL NIL NIL) (-188 322177 322435 322804 "CTRIGMNP" 324064 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-187 321645 321971 322044 "CTOR" 322124 T CTOR (NIL) -8 NIL NIL NIL) (-186 321154 321376 321477 "CTORKIND" 321564 T CTORKIND (NIL) -8 NIL NIL NIL) (-185 320476 320761 320789 "CTORCAT" 320971 T CTORCAT (NIL) -9 NIL 321084 NIL) (-184 320074 320185 320344 "CTORCAT-" 320349 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-183 319563 319777 319875 "CTORCALL" 319996 T CTORCALL (NIL) -8 NIL NIL NIL) (-182 318937 319036 319189 "CSTTOOLS" 319460 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-181 314736 315393 316151 "CRFP" 318249 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-180 314211 314457 314549 "CRCEAST" 314664 T CRCEAST (NIL) -8 NIL NIL NIL) (-179 313258 313443 313671 "CRAPACK" 314015 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-178 312642 312743 312947 "CPMATCH" 313134 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-177 312367 312395 312501 "CPIMA" 312608 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-176 308731 309403 310121 "COORDSYS" 311702 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-175 308143 308264 308406 "CONTOUR" 308609 T CONTOUR (NIL) -8 NIL NIL NIL) (-174 304034 306146 306638 "CONTFRAC" 307683 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-173 303914 303935 303963 "CONDUIT" 304000 T CONDUIT (NIL) -9 NIL NIL NIL) (-172 303053 303607 303635 "COMRING" 303640 T COMRING (NIL) -9 NIL 303692 NIL) (-171 302107 302411 302595 "COMPPROP" 302889 T COMPPROP (NIL) -8 NIL NIL NIL) (-170 301768 301803 301931 "COMPLPAT" 302066 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-169 292062 301577 301686 "COMPLEX" 301691 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-168 291698 291755 291862 "COMPLEX2" 291999 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-167 291416 291451 291549 "COMPFACT" 291657 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-166 275892 285875 285915 "COMPCAT" 286919 NIL COMPCAT (NIL T) -9 NIL 288265 NIL) (-165 265403 268331 271958 "COMPCAT-" 272314 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-164 265132 265160 265263 "COMMUPC" 265369 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-163 264926 264960 265019 "COMMONOP" 265093 T COMMONOP (NIL) -7 NIL NIL NIL) (-162 264482 264677 264764 "COMM" 264859 T COMM (NIL) -8 NIL NIL NIL) (-161 264058 264286 264361 "COMMAAST" 264427 T COMMAAST (NIL) -8 NIL NIL NIL) (-160 263307 263501 263529 "COMBOPC" 263867 T COMBOPC (NIL) -9 NIL 264042 NIL) (-159 262203 262413 262655 "COMBINAT" 263097 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-158 258660 259234 259861 "COMBF" 261625 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-157 257418 257776 258011 "COLOR" 258445 T COLOR (NIL) -8 NIL NIL NIL) (-156 256894 257139 257231 "COLONAST" 257346 T COLONAST (NIL) -8 NIL NIL NIL) (-155 256534 256581 256706 "CMPLXRT" 256841 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-154 255982 256234 256333 "CLLCTAST" 256455 T CLLCTAST (NIL) -8 NIL NIL NIL) (-153 251482 252512 253592 "CLIP" 254922 T CLIP (NIL) -7 NIL NIL NIL) (-152 249828 250588 250827 "CLIF" 251309 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-151 246003 247974 248015 "CLAGG" 248944 NIL CLAGG (NIL T) -9 NIL 249480 NIL) (-150 244425 244882 245465 "CLAGG-" 245470 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-149 243969 244054 244194 "CINTSLPE" 244334 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-148 241470 241941 242489 "CHVAR" 243497 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-147 240679 241233 241261 "CHARZ" 241266 T CHARZ (NIL) -9 NIL 241281 NIL) (-146 240433 240473 240551 "CHARPOL" 240633 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-145 239526 240113 240141 "CHARNZ" 240188 T CHARNZ (NIL) -9 NIL 240244 NIL) (-144 237488 238216 238551 "CHAR" 239211 T CHAR (NIL) -8 NIL NIL NIL) (-143 237214 237275 237303 "CFCAT" 237414 T CFCAT (NIL) -9 NIL NIL NIL) (-142 236459 236570 236752 "CDEN" 237098 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-141 232424 235612 235892 "CCLASS" 236199 T CCLASS (NIL) -8 NIL NIL NIL) (-140 231731 231874 232037 "CATEGORY" 232281 T -10 (NIL) -8 NIL NIL NIL) (-139 231336 231650 231698 "CATCTOR" 231703 T CATCTOR (NIL) -8 NIL NIL NIL) (-138 230787 231039 231137 "CATAST" 231258 T CATAST (NIL) -8 NIL NIL NIL) (-137 230263 230508 230600 "CASEAST" 230715 T CASEAST (NIL) -8 NIL NIL NIL) (-136 225272 226292 227045 "CARTEN" 229566 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-135 224380 224528 224749 "CARTEN2" 225119 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-134 222695 223530 223787 "CARD" 224143 T CARD (NIL) -8 NIL NIL NIL) (-133 222271 222499 222574 "CAPSLAST" 222640 T CAPSLAST (NIL) -8 NIL NIL NIL) (-132 221775 221983 222011 "CACHSET" 222143 T CACHSET (NIL) -9 NIL 222221 NIL) (-131 221245 221567 221595 "CABMON" 221645 T CABMON (NIL) -9 NIL 221701 NIL) (-130 220718 220949 221059 "BYTEORD" 221155 T BYTEORD (NIL) -8 NIL NIL NIL) (-129 219694 220252 220394 "BYTE" 220557 T BYTE (NIL) -8 NIL NIL 220679) (-128 215044 219199 219371 "BYTEBUF" 219542 T BYTEBUF (NIL) -8 NIL NIL NIL) (-127 212553 214736 214843 "BTREE" 214970 NIL BTREE (NIL T) -8 NIL NIL NIL) (-126 210002 212201 212323 "BTOURN" 212463 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-125 207372 209472 209513 "BTCAT" 209581 NIL BTCAT (NIL T) -9 NIL 209658 NIL) (-124 207039 207119 207268 "BTCAT-" 207273 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-123 202304 206182 206210 "BTAGG" 206432 T BTAGG (NIL) -9 NIL 206593 NIL) (-122 201794 201919 202125 "BTAGG-" 202130 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-121 198789 201072 201287 "BSTREE" 201611 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-120 197927 198053 198237 "BRILL" 198645 NIL BRILL (NIL T) -7 NIL NIL NIL) (-119 194579 196653 196694 "BRAGG" 197343 NIL BRAGG (NIL T) -9 NIL 197601 NIL) (-118 193108 193514 194069 "BRAGG-" 194074 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-117 186337 192454 192638 "BPADICRT" 192956 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-116 184652 186274 186319 "BPADIC" 186324 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-115 184350 184380 184494 "BOUNDZRO" 184616 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-114 179442 180640 181583 "BOP" 183427 T BOP (NIL) -8 NIL NIL NIL) (-113 177063 177507 178027 "BOP1" 178955 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-112 175738 176487 176680 "BOOLEAN" 176890 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 175074 175478 175532 "BMODULE" 175537 NIL BMODULE (NIL T T) -9 NIL 175602 NIL) (-110 170875 174872 174945 "BITS" 175021 T BITS (NIL) -8 NIL NIL NIL) (-109 170296 170415 170555 "BINDING" 170755 T BINDING (NIL) -8 NIL NIL NIL) (-108 164303 169893 170041 "BINARY" 170168 T BINARY (NIL) -8 NIL NIL NIL) (-107 162083 163558 163599 "BGAGG" 163859 NIL BGAGG (NIL T) -9 NIL 163996 NIL) (-106 161914 161946 162037 "BGAGG-" 162042 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 160985 161298 161503 "BFUNCT" 161729 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 159675 159853 160141 "BEZOUT" 160809 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 156144 158527 158857 "BBTREE" 159378 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 155878 155931 155959 "BASTYPE" 156078 T BASTYPE (NIL) -9 NIL NIL NIL) (-101 155731 155759 155832 "BASTYPE-" 155837 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 155165 155241 155393 "BALFACT" 155642 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 154021 154580 154766 "AUTOMOR" 155010 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 153747 153752 153778 "ATTREG" 153783 T ATTREG (NIL) -9 NIL NIL NIL) (-97 151999 152444 152796 "ATTRBUT" 153413 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 151607 151827 151893 "ATTRAST" 151951 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 151143 151256 151282 "ATRIG" 151483 T ATRIG (NIL) -9 NIL NIL NIL) (-94 150952 150993 151080 "ATRIG-" 151085 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 150597 150783 150809 "ASTCAT" 150814 T ASTCAT (NIL) -9 NIL 150844 NIL) (-92 150324 150383 150502 "ASTCAT-" 150507 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 148473 150100 150188 "ASTACK" 150267 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 146978 147275 147640 "ASSOCEQ" 148155 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 146010 146637 146761 "ASP9" 146885 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 145773 145958 145997 "ASP8" 146002 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 144641 145378 145520 "ASP80" 145662 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 143539 144276 144408 "ASP7" 144540 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 142493 143216 143334 "ASP78" 143452 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 141462 142173 142290 "ASP77" 142407 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 140374 141100 141231 "ASP74" 141362 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 139274 140009 140141 "ASP73" 140273 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 138378 139100 139200 "ASP6" 139205 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 137322 138055 138173 "ASP55" 138291 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 136271 136996 137115 "ASP50" 137234 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 135359 135972 136082 "ASP4" 136192 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 134447 135060 135170 "ASP49" 135280 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 133231 133986 134154 "ASP42" 134336 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 132007 132764 132934 "ASP41" 133118 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 130957 131684 131802 "ASP35" 131920 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 130722 130905 130944 "ASP34" 130949 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 130459 130526 130602 "ASP33" 130677 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 129352 130094 130226 "ASP31" 130358 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 129117 129300 129339 "ASP30" 129344 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 128852 128921 128997 "ASP29" 129072 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 128617 128800 128839 "ASP28" 128844 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 128382 128565 128604 "ASP27" 128609 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 127466 128080 128191 "ASP24" 128302 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 126542 127268 127380 "ASP20" 127385 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 125630 126243 126353 "ASP1" 126463 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 124572 125304 125423 "ASP19" 125542 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 124309 124376 124452 "ASP12" 124527 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 123161 123908 124052 "ASP10" 124196 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 121012 123005 123096 "ARRAY2" 123101 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 116777 120660 120774 "ARRAY1" 120929 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 115809 115982 116203 "ARRAY12" 116600 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 110121 112039 112114 "ARR2CAT" 114744 NIL ARR2CAT (NIL T T T) -9 NIL 115502 NIL) (-56 107555 108299 109253 "ARR2CAT-" 109258 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 106872 107182 107307 "ARITY" 107448 T ARITY (NIL) -8 NIL NIL NIL) (-54 105648 105800 106099 "APPRULE" 106708 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 105299 105347 105466 "APPLYORE" 105594 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 104246 104564 104759 "ANY" 105122 T ANY (NIL) -8 NIL NIL NIL) (-51 103524 103647 103804 "ANY1" 104120 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 101054 101961 102288 "ANTISYM" 103248 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 100546 100761 100857 "ANON" 100976 T ANON (NIL) -8 NIL NIL NIL) (-48 94795 99085 99539 "AN" 100110 T AN (NIL) -8 NIL NIL NIL) (-47 91017 92405 92456 "AMR" 93204 NIL AMR (NIL T T) -9 NIL 93804 NIL) (-46 90129 90350 90713 "AMR-" 90718 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 74568 90046 90107 "ALIST" 90112 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 71370 74162 74331 "ALGSC" 74486 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 67925 68480 69087 "ALGPKG" 70810 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 67202 67303 67487 "ALGMFACT" 67811 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 63154 63760 64378 "ALGMANIP" 66762 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 54524 62780 62930 "ALGFF" 63087 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 53720 53851 54030 "ALGFACT" 54382 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 52751 53351 53389 "ALGEBRA" 53394 NIL ALGEBRA (NIL T) -9 NIL 53435 NIL) (-37 52469 52528 52660 "ALGEBRA-" 52665 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 34562 50471 50523 "ALAGG" 50659 NIL ALAGG (NIL T T) -9 NIL 50820 NIL) (-35 34098 34211 34237 "AHYP" 34438 T AHYP (NIL) -9 NIL NIL NIL) (-34 33029 33277 33303 "AGG" 33802 T AGG (NIL) -9 NIL 34081 NIL) (-33 32463 32625 32839 "AGG-" 32844 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 30269 30692 31097 "AF" 32105 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 29749 29994 30084 "ADDAST" 30197 T ADDAST (NIL) -8 NIL NIL NIL) (-30 29017 29276 29432 "ACPLOT" 29611 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 18557 26360 26398 "ACFS" 27005 NIL ACFS (NIL T) -9 NIL 27244 NIL) (-28 16584 17074 17836 "ACFS-" 17841 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 12823 14751 14777 "ACF" 15656 T ACF (NIL) -9 NIL 16068 NIL) (-26 11527 11861 12354 "ACF-" 12359 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 11099 11294 11320 "ABELSG" 11412 T ABELSG (NIL) -9 NIL 11477 NIL) (-24 10966 10991 11057 "ABELSG-" 11062 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 10309 10596 10622 "ABELMON" 10792 T ABELMON (NIL) -9 NIL 10904 NIL) (-22 9973 10057 10195 "ABELMON-" 10200 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 9281 9653 9679 "ABELGRP" 9804 T ABELGRP (NIL) -9 NIL 9886 NIL) (-20 8744 8873 9089 "ABELGRP-" 9094 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4333 8083 8122 "A1AGG" 8127 NIL A1AGG (NIL T) -9 NIL 8167 NIL) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL NIL))
\ No newline at end of file diff --git a/src/share/algebra/operation.daase b/src/share/algebra/operation.daase index 211dd76c..76e9f41e 100644 --- a/src/share/algebra/operation.daase +++ b/src/share/algebra/operation.daase @@ -1,44 +1,54 @@ -(735661 . 3451919710) +(731791 . 3452194358) (((*1 *2 *1) (-12 (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1209)) (-4 *4 (-373 *3)) (-4 *5 (-373 *3)) (-5 *2 (-767)))) ((*1 *2 *1) (-12 (-4 *1 (-1048 *3 *4 *5 *6 *7)) (-4 *5 (-1045)) (-4 *6 (-238 *4 *5)) (-4 *7 (-238 *3 *5)) (-5 *2 (-767))))) -(((*1 *1 *1) (-12 (-5 *1 (-606 *2)) (-4 *2 (-1094)))) - ((*1 *1 *1) (-5 *1 (-630)))) +(((*1 *2 *2) + (-12 (-4 *3 (-13 (-556) (-1034 (-564)))) (-5 *1 (-188 *3 *2)) + (-4 *2 (-13 (-27) (-1194) (-430 (-169 *3)))))) + ((*1 *2 *2 *3) + (-12 (-5 *3 (-1170)) (-4 *4 (-13 (-556) (-1034 (-564)))) + (-5 *1 (-188 *4 *2)) (-4 *2 (-13 (-27) (-1194) (-430 (-169 *4)))))) + ((*1 *2 *2) + (-12 (-4 *3 (-13 (-452) (-1034 (-564)) (-637 (-564)))) + (-5 *1 (-1198 *3 *2)) (-4 *2 (-13 (-27) (-1194) (-430 *3))))) + ((*1 *2 *2 *3) + (-12 (-5 *3 (-1170)) + (-4 *4 (-13 (-452) (-1034 (-564)) (-637 (-564)))) + (-5 *1 (-1198 *4 *2)) (-4 *2 (-13 (-27) (-1194) (-430 *4)))))) +(((*1 *2 *2) (-12 (-5 *2 (-917)) (-5 *1 (-357 *3)) (-4 *3 (-349))))) (((*1 *2 *1) - (-12 (-4 *1 (-335 *3 *4 *5 *6)) (-4 *3 (-363)) (-4 *4 (-1235 *3)) - (-4 *5 (-1235 (-407 *4))) (-4 *6 (-342 *3 *4 *5)) - (-5 *2 (-413 *4 (-407 *4) *5 *6)))) - ((*1 *1 *2) - (-12 (-5 *2 (-1259 *6)) (-4 *6 (-13 (-409 *4 *5) (-1034 *4))) - (-4 *4 (-988 *3)) (-4 *5 (-1235 *4)) (-4 *3 (-307)) - (-5 *1 (-413 *3 *4 *5 *6)))) - ((*1 *1 *2) - (-12 (-5 *2 (-641 *6)) (-4 *6 (-945 *3 *4 *5)) (-4 *3 (-363)) - (-4 *4 (-789)) (-4 *5 (-846)) (-5 *1 (-504 *3 *4 *5 *6))))) -(((*1 *2 *3 *3) - (-12 (-4 *4 (-363)) (-5 *2 (-2 (|:| -1876 *3) (|:| -2786 *3))) - (-5 *1 (-762 *3 *4)) (-4 *3 (-704 *4)))) - ((*1 *2 *1 *1) - (-12 (-4 *3 (-363)) (-4 *3 (-1045)) - (-5 *2 (-2 (|:| -1876 *1) (|:| -2786 *1))) (-4 *1 (-848 *3)))) - ((*1 *2 *3 *3 *4) - (-12 (-5 *4 (-99 *5)) (-4 *5 (-363)) (-4 *5 (-1045)) - (-5 *2 (-2 (|:| -1876 *3) (|:| -2786 *3))) (-5 *1 (-849 *5 *3)) - (-4 *3 (-848 *5))))) -(((*1 *1) (-5 *1 (-468)))) -(((*1 *2 *1 *3) (-12 (-5 *3 (-767)) (-5 *1 (-873 *2)) (-4 *2 (-1209)))) - ((*1 *2 *1 *3) (-12 (-5 *3 (-767)) (-5 *1 (-875 *2)) (-4 *2 (-1209)))) - ((*1 *2 *1 *3) (-12 (-5 *3 (-767)) (-5 *1 (-878 *2)) (-4 *2 (-1209))))) -(((*1 *1 *2) - (-12 (-5 *2 (-641 (-641 *3))) (-4 *3 (-1094)) (-4 *1 (-899 *3))))) -(((*1 *2) (-12 (-5 *2 (-379)) (-5 *1 (-1036))))) + (-12 (-4 *1 (-326 *3 *4)) (-4 *3 (-1045)) (-4 *4 (-788)) + (-5 *2 (-641 *3)))) + ((*1 *2 *1) + (-12 (-4 *1 (-382 *3 *4)) (-4 *3 (-1045)) (-4 *4 (-1094)) + (-5 *2 (-641 *3)))) + ((*1 *2 *1) + (-12 (-5 *2 (-1150 *3)) (-5 *1 (-595 *3)) (-4 *3 (-1045)))) + ((*1 *2 *1) + (-12 (-5 *2 (-641 *3)) (-5 *1 (-731 *3 *4)) (-4 *3 (-1045)) + (-4 *4 (-722)))) + ((*1 *2 *1) (-12 (-4 *1 (-848 *3)) (-4 *3 (-1045)) (-5 *2 (-641 *3)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1250 *3)) (-4 *3 (-1045)) (-5 *2 (-1150 *3))))) +(((*1 *2 *3 *4 *5 *5 *4 *6) + (-12 (-5 *4 (-564)) (-5 *6 (-1 (-1264) (-1259 *5) (-1259 *5) (-379))) + (-5 *3 (-1259 (-379))) (-5 *5 (-379)) (-5 *2 (-1264)) + (-5 *1 (-784))))) +(((*1 *2 *3) + (-12 (-5 *2 (-112)) (-5 *1 (-442 *3)) (-4 *3 (-1235 (-564)))))) +(((*1 *2 *2 *2) (-12 (-5 *2 (-1166 *1)) (-4 *1 (-452)))) + ((*1 *2 *2 *2) + (-12 (-5 *2 (-1166 *6)) (-4 *6 (-945 *5 *3 *4)) (-4 *3 (-789)) + (-4 *4 (-846)) (-4 *5 (-905)) (-5 *1 (-457 *3 *4 *5 *6)))) + ((*1 *2 *2 *2) (-12 (-5 *2 (-1166 *1)) (-4 *1 (-905))))) +(((*1 *2) (-12 (-5 *2 (-641 (-1152))) (-5 *1 (-1262))))) (((*1 *2 *3 *4) (-12 (-5 *4 (-610 *6)) (-4 *6 (-13 (-430 *5) (-27) (-1194))) - (-4 *5 (-13 (-452) (-1034 (-564)) (-846) (-147) (-637 (-564)))) + (-4 *5 (-13 (-452) (-1034 (-564)) (-147) (-637 (-564)))) (-5 *2 (-1166 (-407 (-1166 *6)))) (-5 *1 (-560 *5 *6 *7)) (-5 *3 (-1166 *6)) (-4 *7 (-1094)))) ((*1 *2 *1) @@ -56,7 +66,7 @@ (-4 *3 (-363)) (-4 *4 (-789)) (-4 *5 (-846)) (-14 *6 (-641 *2))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) - (-12 (-4 *3 (-13 (-846) (-556))) (-5 *1 (-276 *3 *2)) + (-12 (-4 *3 (-556)) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-998))))) ((*1 *2 *2) (-12 (-4 *3 (-38 (-407 (-564)))) (-4 *4 (-1250 *3)) @@ -70,44 +80,57 @@ ((*1 *2 *2) (-12 (-5 *2 (-1150 *3)) (-4 *3 (-38 (-407 (-564)))) (-5 *1 (-1156 *3))))) -(((*1 *2 *3 *3 *3 *4) - (-12 (-5 *3 (-1 (-225) (-225) (-225))) - (-5 *4 (-1 (-225) (-225) (-225) (-225))) - (-5 *2 (-1 (-939 (-225)) (-225) (-225))) (-5 *1 (-693))))) -(((*1 *2 *1 *2) - (-12 (-4 *1 (-364 *3 *2)) (-4 *3 (-1094)) (-4 *2 (-1094))))) -(((*1 *2 *3 *4 *5 *4 *5 *5 *6 *4 *4 *4 *4 *4 *5 *4 *5 *5 *7 *4) - (-12 (-5 *3 (-1152)) (-5 *5 (-685 (-225))) (-5 *6 (-225)) - (-5 *7 (-685 (-564))) (-5 *4 (-564)) (-5 *2 (-1031)) (-5 *1 (-748))))) -(((*1 *2 *3) (-12 (-5 *3 (-948 (-225))) (-5 *2 (-225)) (-5 *1 (-305))))) -(((*1 *2 *2 *2 *2 *3) - (-12 (-4 *3 (-556)) (-5 *1 (-965 *3 *2)) (-4 *2 (-1235 *3))))) -(((*1 *2 *1) - (-12 (-14 *3 (-641 (-1170))) (-4 *4 (-172)) - (-14 *6 - (-1 (-112) (-2 (|:| -2014 *5) (|:| -4165 *2)) - (-2 (|:| -2014 *5) (|:| -4165 *2)))) - (-4 *2 (-238 (-2069 *3) (-767))) (-5 *1 (-461 *3 *4 *5 *2 *6 *7)) - (-4 *5 (-846)) (-4 *7 (-945 *4 *2 (-860 *3)))))) -(((*1 *2 *1) - (-12 (-4 *1 (-554 *3)) (-4 *3 (-13 (-404) (-1194))) (-5 *2 (-112)))) - ((*1 *2 *1) (-12 (-4 *1 (-844)) (-5 *2 (-112)))) - ((*1 *2 *3 *1) - (-12 (-4 *1 (-1062 *4 *3)) (-4 *4 (-13 (-844) (-363))) - (-4 *3 (-1235 *4)) (-5 *2 (-112))))) +(((*1 *2 *3) + (-12 (-4 *4 (-556)) (-4 *5 (-789)) (-4 *6 (-846)) + (-4 *7 (-1059 *4 *5 *6)) + (-5 *2 (-2 (|:| |goodPols| (-641 *7)) (|:| |badPols| (-641 *7)))) + (-5 *1 (-973 *4 *5 *6 *7)) (-5 *3 (-641 *7))))) +(((*1 *2) + (-12 (-4 *3 (-556)) (-5 *2 (-641 *4)) (-5 *1 (-43 *3 *4)) + (-4 *4 (-417 *3))))) +(((*1 *2 *3 *2) (-12 (-5 *2 (-225)) (-5 *3 (-767)) (-5 *1 (-226)))) + ((*1 *2 *3 *2) + (-12 (-5 *2 (-169 (-225))) (-5 *3 (-767)) (-5 *1 (-226)))) + ((*1 *2 *2 *2) + (-12 (-4 *3 (-556)) (-5 *1 (-431 *3 *2)) (-4 *2 (-430 *3)))) + ((*1 *1 *1 *1) (-4 *1 (-1133)))) +(((*1 *2 *3 *3 *4 *3 *4 *4 *4 *5 *5 *5 *5 *4 *4 *6 *7) + (-12 (-5 *4 (-564)) (-5 *5 (-685 (-225))) + (-5 *6 (-3 (|:| |fn| (-388)) (|:| |fp| (-84 FCNF)))) + (-5 *7 (-3 (|:| |fn| (-388)) (|:| |fp| (-85 FCNG)))) (-5 *3 (-225)) + (-5 *2 (-1031)) (-5 *1 (-745))))) +(((*1 *2 *3 *4 *4 *2 *2 *2 *2) + (-12 (-5 *2 (-564)) + (-5 *3 + (-2 (|:| |lcmfij| *6) (|:| |totdeg| (-767)) (|:| |poli| *4) + (|:| |polj| *4))) + (-4 *6 (-789)) (-4 *4 (-945 *5 *6 *7)) (-4 *5 (-452)) (-4 *7 (-846)) + (-5 *1 (-449 *5 *6 *7 *4))))) +(((*1 *2) + (-12 (-4 *3 (-556)) (-5 *2 (-641 *4)) (-5 *1 (-43 *3 *4)) + (-4 *4 (-417 *3))))) +(((*1 *2 *3) + (-12 (-4 *4 (-363)) (-5 *2 (-641 *3)) (-5 *1 (-941 *4 *3)) + (-4 *3 (-1235 *4))))) (((*1 *2 *1) (-12 (-5 *2 (-1129)) (-5 *1 (-31)))) ((*1 *2) (-12 (-4 *1 (-404)) (-5 *2 (-917)))) ((*1 *1) (-4 *1 (-545))) ((*1 *2 *2) (-12 (-5 *2 (-917)) (-5 *1 (-695)))) ((*1 *2 *1) (-12 (-5 *2 (-641 *3)) (-5 *1 (-900 *3)) (-4 *3 (-1094))))) -(((*1 *2 *1 *3) (-12 (-5 *3 (-819)) (-5 *2 (-1264)) (-5 *1 (-818))))) -(((*1 *2 *1) - (-12 (-4 *3 (-1209)) (-5 *2 (-641 *1)) (-4 *1 (-1006 *3))))) -(((*1 *2 *3 *3 *4 *4 *5 *4 *5 *4 *4 *5 *4) - (-12 (-5 *3 (-1152)) (-5 *4 (-564)) (-5 *5 (-685 (-169 (-225)))) - (-5 *2 (-1031)) (-5 *1 (-750))))) +(((*1 *2 *2) + (-12 (-5 *2 (-1259 *1)) (-4 *1 (-342 *3 *4 *5)) (-4 *3 (-1213)) + (-4 *4 (-1235 *3)) (-4 *5 (-1235 (-407 *4)))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-1226 *3)) (-4 *3 (-1209))))) +(((*1 *2 *3 *4) + (-12 (-5 *4 (-767)) (-4 *5 (-1045)) (-5 *2 (-564)) + (-5 *1 (-443 *5 *3 *6)) (-4 *3 (-1235 *5)) + (-4 *6 (-13 (-404) (-1034 *5) (-363) (-1194) (-284))))) + ((*1 *2 *3) + (-12 (-4 *4 (-1045)) (-5 *2 (-564)) (-5 *1 (-443 *4 *3 *5)) + (-4 *3 (-1235 *4)) + (-4 *5 (-13 (-404) (-1034 *4) (-363) (-1194) (-284)))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) - (-12 (-4 *3 (-13 (-846) (-556))) (-5 *1 (-276 *3 *2)) + (-12 (-4 *3 (-556)) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-998))))) ((*1 *2 *2) (-12 (-4 *3 (-38 (-407 (-564)))) (-4 *4 (-1250 *3)) @@ -121,41 +144,21 @@ ((*1 *2 *2) (-12 (-5 *2 (-1150 *3)) (-4 *3 (-38 (-407 (-564)))) (-5 *1 (-1156 *3))))) -(((*1 *2 *3) - (-12 (-5 *3 (-948 (-564))) (-5 *2 (-641 *1)) (-4 *1 (-1008)))) - ((*1 *2 *3) - (-12 (-5 *3 (-948 (-407 (-564)))) (-5 *2 (-641 *1)) (-4 *1 (-1008)))) - ((*1 *2 *3) (-12 (-5 *3 (-948 *1)) (-4 *1 (-1008)) (-5 *2 (-641 *1)))) - ((*1 *2 *3) - (-12 (-5 *3 (-1166 (-564))) (-5 *2 (-641 *1)) (-4 *1 (-1008)))) - ((*1 *2 *3) - (-12 (-5 *3 (-1166 (-407 (-564)))) (-5 *2 (-641 *1)) (-4 *1 (-1008)))) - ((*1 *2 *3) - (-12 (-5 *3 (-1166 *1)) (-4 *1 (-1008)) (-5 *2 (-641 *1)))) - ((*1 *2 *3) - (-12 (-4 *4 (-13 (-844) (-363))) (-4 *3 (-1235 *4)) (-5 *2 (-641 *1)) - (-4 *1 (-1062 *4 *3))))) -(((*1 *2 *1) - (-12 (-5 *2 (-641 (-2 (|:| |k| (-1170)) (|:| |c| (-1281 *3))))) - (-5 *1 (-1281 *3)) (-4 *3 (-1045)))) - ((*1 *2 *1) - (-12 (-5 *2 (-641 (-2 (|:| |k| *3) (|:| |c| (-1283 *3 *4))))) - (-5 *1 (-1283 *3 *4)) (-4 *3 (-846)) (-4 *4 (-1045))))) +(((*1 *2 *1 *1 *3) + (-12 (-4 *4 (-1045)) (-4 *5 (-789)) (-4 *3 (-846)) + (-5 *2 (-2 (|:| -4290 *1) (|:| |gap| (-767)) (|:| -1842 *1))) + (-4 *1 (-1059 *4 *5 *3)))) + ((*1 *2 *1 *1) + (-12 (-4 *3 (-1045)) (-4 *4 (-789)) (-4 *5 (-846)) + (-5 *2 (-2 (|:| -4290 *1) (|:| |gap| (-767)) (|:| -1842 *1))) + (-4 *1 (-1059 *3 *4 *5))))) (((*1 *2 *3) (-12 (-5 *2 (-564)) (-5 *1 (-569 *3)) (-4 *3 (-1034 *2)))) ((*1 *2 *1) (-12 (-4 *1 (-1097 *3 *4 *2 *5 *6)) (-4 *3 (-1094)) (-4 *4 (-1094)) (-4 *5 (-1094)) (-4 *6 (-1094)) (-4 *2 (-1094))))) -(((*1 *1 *1 *1) (-12 (-5 *1 (-778 *2)) (-4 *2 (-556)) (-4 *2 (-1045)))) - ((*1 *2 *2 *2) - (-12 (-4 *3 (-556)) (-5 *1 (-965 *3 *2)) (-4 *2 (-1235 *3)))) - ((*1 *1 *1 *1) - (-12 (-4 *1 (-1059 *2 *3 *4)) (-4 *2 (-1045)) (-4 *3 (-789)) - (-4 *4 (-846)) (-4 *2 (-556)))) - ((*1 *2 *3 *3 *1) - (-12 (-4 *4 (-452)) (-4 *5 (-789)) (-4 *6 (-846)) - (-4 *3 (-1059 *4 *5 *6)) - (-5 *2 (-641 (-2 (|:| |val| *3) (|:| -3418 *1)))) - (-4 *1 (-1065 *4 *5 *6 *3))))) +(((*1 *2 *3 *1) + (-12 (-4 *4 (-363)) (-4 *5 (-789)) (-4 *6 (-846)) (-5 *2 (-112)) + (-5 *1 (-504 *4 *5 *6 *3)) (-4 *3 (-945 *4 *5 *6))))) (((*1 *2 *1 *3 *3 *2) (-12 (-5 *3 (-564)) (-4 *1 (-57 *2 *4 *5)) (-4 *2 (-1209)) (-4 *4 (-373 *2)) (-4 *5 (-373 *2)))) @@ -187,14 +190,14 @@ (-12 (-5 *3 (-1170)) (-5 *2 (-245 (-1152))) (-5 *1 (-214 *4)) (-4 *4 (-13 (-846) - (-10 -8 (-15 -4361 ((-1152) $ *3)) (-15 -1682 ((-1264) $)) - (-15 -3141 ((-1264) $))))))) + (-10 -8 (-15 -4362 ((-1152) $ *3)) (-15 -1680 ((-1264) $)) + (-15 -4199 ((-1264) $))))))) ((*1 *1 *1 *2) (-12 (-5 *2 (-985)) (-5 *1 (-214 *3)) (-4 *3 (-13 (-846) - (-10 -8 (-15 -4361 ((-1152) $ (-1170))) (-15 -1682 ((-1264) $)) - (-15 -3141 ((-1264) $))))))) + (-10 -8 (-15 -4362 ((-1152) $ (-1170))) (-15 -1680 ((-1264) $)) + (-15 -4199 ((-1264) $))))))) ((*1 *2 *1 *3) (-12 (-5 *3 "count") (-5 *2 (-767)) (-5 *1 (-245 *4)) (-4 *4 (-846)))) ((*1 *1 *1 *2) (-12 (-5 *2 "sort") (-5 *1 (-245 *3)) (-4 *3 (-846)))) @@ -249,12 +252,12 @@ (-4 *6 (-238 *5 *2)) (-4 *7 (-238 *4 *2)) (-4 *2 (-1045)))) ((*1 *2 *1 *2 *3) (-12 (-5 *3 (-917)) (-4 *4 (-1094)) - (-4 *5 (-13 (-1045) (-882 *4) (-846) (-612 (-888 *4)))) + (-4 *5 (-13 (-1045) (-882 *4) (-612 (-888 *4)))) (-5 *1 (-1070 *4 *5 *2)) (-4 *2 (-13 (-430 *5) (-882 *4) (-612 (-888 *4)))))) ((*1 *2 *1 *2 *3) (-12 (-5 *3 (-917)) (-4 *4 (-1094)) - (-4 *5 (-13 (-1045) (-882 *4) (-846) (-612 (-888 *4)))) + (-4 *5 (-13 (-1045) (-882 *4) (-612 (-888 *4)))) (-5 *1 (-1071 *4 *5 *2)) (-4 *2 (-13 (-430 *5) (-882 *4) (-612 (-888 *4)))))) ((*1 *1 *1 *2) @@ -281,33 +284,69 @@ ((*1 *2 *1 *3) (-12 (-5 *3 "first") (-4 *1 (-1247 *2)) (-4 *2 (-1209))))) (((*1 *2 *3 *4) - (-12 (-5 *2 (-641 (-169 *4))) (-5 *1 (-155 *3 *4)) - (-4 *3 (-1235 (-169 (-564)))) (-4 *4 (-13 (-363) (-844))))) - ((*1 *2 *3) - (-12 (-4 *4 (-13 (-363) (-844))) (-5 *2 (-641 (-169 *4))) - (-5 *1 (-181 *4 *3)) (-4 *3 (-1235 (-169 *4))))) + (-12 (-5 *4 (-1 (-1150 *3))) (-5 *2 (-1150 *3)) (-5 *1 (-1154 *3)) + (-4 *3 (-38 (-407 (-564)))) (-4 *3 (-1045))))) +(((*1 *2 *2) (-12 (-5 *2 (-1152)) (-5 *1 (-858))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-491)) (-5 *4 (-950)) (-5 *2 (-687 (-533))) + (-5 *1 (-533)))) ((*1 *2 *3 *4) - (-12 (-4 *4 (-13 (-363) (-844))) (-5 *2 (-641 (-169 *4))) - (-5 *1 (-181 *4 *3)) (-4 *3 (-1235 (-169 *4)))))) -(((*1 *2 *1) (-12 (-4 *1 (-107 *2)) (-4 *2 (-1209))))) -(((*1 *2 *1) (-12 (-5 *2 (-858)) (-5 *1 (-52))))) + (-12 (-5 *4 (-950)) (-4 *3 (-1094)) (-5 *2 (-687 *1)) + (-4 *1 (-763 *3))))) +(((*1 *2 *3) + (-12 + (-5 *3 + (-2 + (|:| |endPointContinuity| + (-3 (|:| |continuous| "Continuous at the end points") + (|:| |lowerSingular| + "There is a singularity at the lower end point") + (|:| |upperSingular| + "There is a singularity at the upper end point") + (|:| |bothSingular| + "There are singularities at both end points") + (|:| |notEvaluated| + "End point continuity not yet evaluated"))) + (|:| |singularitiesStream| + (-3 (|:| |str| (-1150 (-225))) + (|:| |notEvaluated| + "Internal singularities not yet evaluated"))) + (|:| -3230 + (-3 (|:| |finite| "The range is finite") + (|:| |lowerInfinite| "The bottom of range is infinite") + (|:| |upperInfinite| "The top of range is infinite") + (|:| |bothInfinite| + "Both top and bottom points are infinite") + (|:| |notEvaluated| "Range not yet evaluated"))))) + (-5 *2 (-1031)) (-5 *1 (-305))))) (((*1 *2 *1) (-12 (-4 *1 (-1128 *3)) (-4 *3 (-1045)) (-5 *2 - (-2 (|:| -1707 (-767)) (|:| |curves| (-767)) + (-2 (|:| -3785 (-767)) (|:| |curves| (-767)) (|:| |polygons| (-767)) (|:| |constructs| (-767))))))) -(((*1 *2 *2 *2 *3) - (-12 (-5 *2 (-1259 (-564))) (-5 *3 (-564)) (-5 *1 (-1104)))) - ((*1 *2 *3 *2 *4) - (-12 (-5 *2 (-1259 (-564))) (-5 *3 (-641 (-564))) (-5 *4 (-564)) - (-5 *1 (-1104))))) -(((*1 *2 *1 *1) - (-12 (-5 *2 (-641 (-778 *3))) (-5 *1 (-778 *3)) (-4 *3 (-556)) - (-4 *3 (-1045))))) -(((*1 *1) (-5 *1 (-141)))) +(((*1 *2 *3 *3 *4 *4 *4 *3) + (-12 (-5 *3 (-564)) (-5 *4 (-685 (-225))) (-5 *2 (-1031)) + (-5 *1 (-752))))) +(((*1 *2 *1) (-12 (-4 *1 (-793 *2)) (-4 *2 (-172)))) + ((*1 *2 *1) (-12 (-4 *1 (-993 *2)) (-4 *2 (-172))))) +(((*1 *2 *3) + (-12 + (-5 *3 + (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) + (|:| -3230 (-1088 (-839 (-225)))) (|:| |abserr| (-225)) + (|:| |relerr| (-225)))) + (-5 *2 + (-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"))) + (-5 *1 (-192))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) - (-12 (-4 *3 (-13 (-846) (-556))) (-5 *1 (-276 *3 *2)) + (-12 (-4 *3 (-556)) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-998))))) ((*1 *2 *2) (-12 (-4 *3 (-38 (-407 (-564)))) (-4 *4 (-1250 *3)) @@ -321,43 +360,44 @@ ((*1 *2 *2) (-12 (-5 *2 (-1150 *3)) (-4 *3 (-38 (-407 (-564)))) (-5 *1 (-1156 *3))))) -(((*1 *2 *2 *3) - (-12 (-5 *2 (-1259 (-1259 (-564)))) (-5 *3 (-917)) (-5 *1 (-466))))) +(((*1 *2 *1) + (-12 (-4 *2 (-704 *3)) (-5 *1 (-823 *2 *3)) (-4 *3 (-1045))))) (((*1 *2 *1) (-12 (-5 *2 (-1129)) (-5 *1 (-180)))) ((*1 *2 *1) (-12 (-5 *2 (-1129)) (-5 *1 (-311)))) ((*1 *2 *1) (-12 (-5 *2 (-1129)) (-5 *1 (-966)))) ((*1 *2 *1) (-12 (-5 *2 (-1129)) (-5 *1 (-990)))) ((*1 *2 *1) (-12 (-5 *2 (-1129)) (-5 *1 (-1032)))) ((*1 *2 *1) (-12 (-5 *2 (-1129)) (-5 *1 (-1067))))) -(((*1 *1 *1 *2) - (-12 (-4 *1 (-972 *3 *4 *2 *5)) (-4 *3 (-1045)) (-4 *4 (-789)) - (-4 *2 (-846)) (-4 *5 (-1059 *3 *4 *2))))) -(((*1 *2 *2 *2) - (-12 (-5 *2 (-685 *3)) (-4 *3 (-1045)) (-5 *1 (-1024 *3)))) - ((*1 *2 *2 *2) - (-12 (-5 *2 (-641 (-685 *3))) (-4 *3 (-1045)) (-5 *1 (-1024 *3)))) - ((*1 *2 *2) - (-12 (-5 *2 (-685 *3)) (-4 *3 (-1045)) (-5 *1 (-1024 *3)))) - ((*1 *2 *2) - (-12 (-5 *2 (-641 (-685 *3))) (-4 *3 (-1045)) (-5 *1 (-1024 *3))))) (((*1 *2 *3 *4) - (-12 (-5 *3 (-641 *5)) (-5 *4 (-917)) (-4 *5 (-846)) - (-5 *2 (-59 (-641 (-668 *5)))) (-5 *1 (-668 *5))))) -(((*1 *2 *1) (-12 (-4 *1 (-991 *2)) (-4 *2 (-1209))))) -(((*1 *1 *2 *3) (-12 (-5 *2 (-1166 *1)) (-5 *3 (-1170)) (-4 *1 (-27)))) - ((*1 *1 *2) (-12 (-5 *2 (-1166 *1)) (-4 *1 (-27)))) - ((*1 *1 *2) (-12 (-5 *2 (-948 *1)) (-4 *1 (-27)))) - ((*1 *1 *1 *2) - (-12 (-5 *2 (-1170)) (-4 *1 (-29 *3)) (-4 *3 (-13 (-846) (-556))))) - ((*1 *1 *1) (-12 (-4 *1 (-29 *2)) (-4 *2 (-13 (-846) (-556)))))) -(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-585 *3)) (-4 *3 (-363))))) -(((*1 *2 *3 *1) - (-12 (-4 *4 (-363)) (-4 *5 (-789)) (-4 *6 (-846)) (-5 *2 (-112)) - (-5 *1 (-504 *4 *5 *6 *3)) (-4 *3 (-945 *4 *5 *6))))) -(((*1 *2 *1 *3) (-12 (-4 *1 (-132)) (-5 *3 (-767)) (-5 *2 (-1264))))) + (-12 (-5 *3 (-225)) (-5 *4 (-564)) (-5 *2 (-1031)) (-5 *1 (-754))))) +(((*1 *2 *2 *2) + (-12 (-5 *2 (-641 *6)) (-4 *6 (-1059 *3 *4 *5)) (-4 *3 (-147)) + (-4 *3 (-307)) (-4 *3 (-556)) (-4 *4 (-789)) (-4 *5 (-846)) + (-5 *1 (-973 *3 *4 *5 *6))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-134)))) + ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-829 *3)) (-4 *3 (-1094)))) + ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-839 *3)) (-4 *3 (-1094))))) +(((*1 *2 *1) + (-12 (-4 *1 (-691 *3)) (-4 *3 (-1094)) + (-5 *2 (-641 (-2 (|:| -3683 *3) (|:| -3875 (-767)))))))) +(((*1 *1 *1 *1 *1) (-4 *1 (-545)))) +(((*1 *2 *3) (-12 (-5 *3 (-1259 *1)) (-4 *1 (-367 *2)) (-4 *2 (-172)))) + ((*1 *2) (-12 (-4 *2 (-172)) (-5 *1 (-416 *3 *2)) (-4 *3 (-417 *2)))) + ((*1 *2) (-12 (-4 *1 (-417 *2)) (-4 *2 (-172))))) +(((*1 *2 *2 *3) + (-12 (-5 *3 (-641 *2)) (-4 *2 (-1059 *4 *5 *6)) (-4 *4 (-556)) + (-4 *5 (-789)) (-4 *6 (-846)) (-5 *1 (-973 *4 *5 *6 *2))))) +(((*1 *2 *3 *3 *4) + (-12 (-5 *4 (-112)) (-4 *5 (-13 (-363) (-844))) + (-5 *2 (-641 (-2 (|:| -3111 (-641 *3)) (|:| -2505 *5)))) + (-5 *1 (-181 *5 *3)) (-4 *3 (-1235 (-169 *5))))) + ((*1 *2 *3 *3) + (-12 (-4 *4 (-13 (-363) (-844))) + (-5 *2 (-641 (-2 (|:| -3111 (-641 *3)) (|:| -2505 *4)))) + (-5 *1 (-181 *4 *3)) (-4 *3 (-1235 (-169 *4)))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *1 *1 *1) (-5 *1 (-225))) ((*1 *2 *2) - (-12 (-4 *3 (-13 (-846) (-556))) (-5 *1 (-276 *3 *2)) + (-12 (-4 *3 (-556)) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-998))))) ((*1 *2 *2) (-12 (-4 *3 (-38 (-407 (-564)))) (-4 *4 (-1250 *3)) @@ -375,43 +415,31 @@ ((*1 *2 *2) (-12 (-5 *2 (-1150 *3)) (-4 *3 (-38 (-407 (-564)))) (-5 *1 (-1156 *3))))) -(((*1 *2 *3 *4) - (-12 (-5 *4 (-641 *3)) (-4 *3 (-1235 *5)) (-4 *5 (-307)) - (-5 *2 (-767)) (-5 *1 (-455 *5 *3))))) +(((*1 *2) + (-12 (-5 *2 (-112)) (-5 *1 (-442 *3)) (-4 *3 (-1235 (-564)))))) (((*1 *2 *1) (-12 (-5 *2 (-641 (-1152))) (-5 *1 (-394))))) (((*1 *2 *1) (-12 (-4 *1 (-1097 *3 *2 *4 *5 *6)) (-4 *3 (-1094)) (-4 *4 (-1094)) (-4 *5 (-1094)) (-4 *6 (-1094)) (-4 *2 (-1094))))) -(((*1 *1 *2 *3 *1) - (-12 (-14 *4 (-641 (-1170))) (-4 *2 (-172)) - (-4 *3 (-238 (-2069 *4) (-767))) - (-14 *6 - (-1 (-112) (-2 (|:| -2014 *5) (|:| -4165 *3)) - (-2 (|:| -2014 *5) (|:| -4165 *3)))) - (-5 *1 (-461 *4 *2 *5 *3 *6 *7)) (-4 *5 (-846)) - (-4 *7 (-945 *2 *3 (-860 *4)))))) -(((*1 *2 *1) (-12 (-4 *1 (-793 *2)) (-4 *2 (-172))))) (((*1 *2) - (-12 (-5 *2 (-112)) (-5 *1 (-442 *3)) (-4 *3 (-1235 (-564)))))) -(((*1 *2 *3 *1) - (-12 (-4 *1 (-1202 *4 *5 *3 *6)) (-4 *4 (-556)) (-4 *5 (-789)) - (-4 *3 (-846)) (-4 *6 (-1059 *4 *5 *3)) (-5 *2 (-112)))) - ((*1 *2 *1) (-12 (-4 *1 (-1278 *3)) (-4 *3 (-363)) (-5 *2 (-112))))) + (-12 (-4 *1 (-349)) + (-5 *2 (-3 "prime" "polynomial" "normal" "cyclic"))))) (((*1 *2 *3 *4) - (-12 (-5 *3 (-1170)) (-5 *4 (-948 (-564))) (-5 *2 (-330)) - (-5 *1 (-332))))) -(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-529))))) + (-12 (-4 *4 (-363)) (-5 *2 (-641 (-1150 *4))) (-5 *1 (-285 *4 *5)) + (-5 *3 (-1150 *4)) (-4 *5 (-1250 *4))))) +(((*1 *2 *3 *2) + (-12 (-5 *2 (-1152)) (-5 *3 (-641 (-263))) (-5 *1 (-261)))) + ((*1 *1 *2) (-12 (-5 *2 (-1152)) (-5 *1 (-263))))) +(((*1 *2 *1) (-12 (-5 *2 (-1129)) (-5 *1 (-525))))) +(((*1 *2) (-12 (-5 *2 (-1152)) (-5 *1 (-241))))) +(((*1 *2 *2 *2) (-12 (-5 *2 (-225)) (-5 *1 (-226)))) + ((*1 *2 *2 *2) (-12 (-5 *2 (-169 (-225))) (-5 *1 (-226))))) (((*1 *2 *1) (-12 (-5 *2 (-1098)) (-5 *1 (-52))))) -(((*1 *2 *1 *3) - (-12 (-5 *3 (-564)) (-4 *1 (-57 *4 *5 *2)) (-4 *4 (-1209)) - (-4 *5 (-373 *4)) (-4 *2 (-373 *4)))) - ((*1 *2 *1 *3) - (-12 (-5 *3 (-564)) (-4 *1 (-1048 *4 *5 *6 *7 *2)) (-4 *6 (-1045)) - (-4 *7 (-238 *5 *6)) (-4 *2 (-238 *4 *6))))) -(((*1 *2 *1) (-12 (-4 *1 (-389)) (-5 *2 (-112))))) +(((*1 *2 *1 *3) (-12 (-5 *3 (-1152)) (-5 *2 (-1264)) (-5 *1 (-1261))))) +(((*1 *2) (-12 (-5 *2 (-1127 (-225))) (-5 *1 (-1192))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) - (-12 (-4 *3 (-13 (-846) (-556))) (-5 *1 (-276 *3 *2)) + (-12 (-4 *3 (-556)) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-998))))) ((*1 *2 *2) (-12 (-4 *3 (-38 (-407 (-564)))) (-4 *4 (-1250 *3)) @@ -428,8 +456,12 @@ ((*1 *2 *2) (-12 (-5 *2 (-1150 *3)) (-4 *3 (-38 (-407 (-564)))) (-5 *1 (-1156 *3))))) -(((*1 *2 *1) (-12 (-4 *1 (-988 *2)) (-4 *2 (-556)) (-4 *2 (-545)))) - ((*1 *1 *1) (-4 *1 (-1054)))) +(((*1 *1 *1) (-12 (-4 *1 (-166 *2)) (-4 *2 (-172)))) + ((*1 *1 *1 *1) (-4 *1 (-473))) + ((*1 *1 *1) (-12 (-4 *1 (-793 *2)) (-4 *2 (-172)))) + ((*1 *2 *2) (-12 (-5 *2 (-641 (-564))) (-5 *1 (-879)))) + ((*1 *1 *1) (-5 *1 (-967))) + ((*1 *1 *1) (-12 (-4 *1 (-993 *2)) (-4 *2 (-172))))) (((*1 *2 *3) (-12 (-4 *5 (-13 (-612 *2) (-172))) (-5 *2 (-888 *4)) (-5 *1 (-170 *4 *5 *3)) (-4 *4 (-1094)) (-4 *3 (-166 *5)))) @@ -447,7 +479,7 @@ ((*1 *2 *1) (-12 (-4 *1 (-417 *3)) (-4 *3 (-172)) (-5 *2 (-1259 *3)))) ((*1 *1 *2) (-12 (-5 *2 (-418 *1)) (-4 *1 (-430 *3)) (-4 *3 (-556)) - (-4 *3 (-846)))) + (-4 *3 (-1094)))) ((*1 *1 *2) (-12 (-5 *2 (-641 *6)) (-4 *6 (-1059 *3 *4 *5)) (-4 *3 (-1045)) (-4 *4 (-789)) (-4 *5 (-846)) (-5 *1 (-463 *3 *4 *5 *6)))) @@ -475,12 +507,12 @@ (-4 *3 (-38 (-407 (-564)))) (-4 *5 (-612 (-1170))) (-4 *3 (-1045)) (-4 *4 (-789)) (-4 *5 (-846)))) ((*1 *2 *3) - (-12 (-5 *3 (-2 (|:| |val| (-641 *7)) (|:| -3418 *8))) + (-12 (-5 *3 (-2 (|:| |val| (-641 *7)) (|:| -3419 *8))) (-4 *7 (-1059 *4 *5 *6)) (-4 *8 (-1065 *4 *5 *6 *7)) (-4 *4 (-452)) (-4 *5 (-789)) (-4 *6 (-846)) (-5 *2 (-1152)) (-5 *1 (-1063 *4 *5 *6 *7 *8)))) ((*1 *2 *3) - (-12 (-5 *3 (-2 (|:| |val| (-641 *7)) (|:| -3418 *8))) + (-12 (-5 *3 (-2 (|:| |val| (-641 *7)) (|:| -3419 *8))) (-4 *7 (-1059 *4 *5 *6)) (-4 *8 (-1103 *4 *5 *6 *7)) (-4 *4 (-452)) (-4 *5 (-789)) (-4 *6 (-846)) (-5 *2 (-1152)) (-5 *1 (-1139 *4 *5 *6 *7 *8)))) @@ -512,52 +544,73 @@ (-4 *4 (-13 (-844) (-307) (-147) (-1018))) (-14 *6 (-641 (-1170))) (-5 *2 (-641 (-776 *4 (-860 *6)))) (-5 *1 (-1285 *4 *5 *6)) (-14 *5 (-641 (-1170)))))) -(((*1 *1 *2) - (|partial| -12 (-5 *2 (-641 *6)) (-4 *6 (-1059 *3 *4 *5)) - (-4 *3 (-556)) (-4 *4 (-789)) (-4 *5 (-846)) - (-5 *1 (-1272 *3 *4 *5 *6)))) - ((*1 *1 *2 *3 *4) - (|partial| -12 (-5 *2 (-641 *8)) (-5 *3 (-1 (-112) *8 *8)) - (-5 *4 (-1 *8 *8 *8)) (-4 *8 (-1059 *5 *6 *7)) (-4 *5 (-556)) - (-4 *6 (-789)) (-4 *7 (-846)) (-5 *1 (-1272 *5 *6 *7 *8))))) -(((*1 *2 *1) - (-12 (-5 *2 (-1096 *3)) (-5 *1 (-900 *3)) (-4 *3 (-1094)))) - ((*1 *2 *1) - (-12 (-5 *2 (-1096 *3)) (-5 *1 (-901 *3)) (-4 *3 (-1094))))) +(((*1 *2 *2) + (-12 (-5 *2 (-1150 *3)) (-4 *3 (-1045)) (-5 *1 (-1154 *3)))) + ((*1 *1 *1) + (-12 (-5 *1 (-1251 *2 *3 *4)) (-4 *2 (-1045)) (-14 *3 (-1170)) + (-14 *4 *2)))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *5 (-767)) (-4 *6 (-452)) (-4 *7 (-789)) (-4 *8 (-846)) + (-4 *3 (-1059 *6 *7 *8)) + (-5 *2 + (-2 (|:| |done| (-641 *4)) + (|:| |todo| (-641 (-2 (|:| |val| (-641 *3)) (|:| -3419 *4)))))) + (-5 *1 (-1063 *6 *7 *8 *3 *4)) (-4 *4 (-1065 *6 *7 *8 *3)))) + ((*1 *2 *3 *4) + (-12 (-4 *5 (-452)) (-4 *6 (-789)) (-4 *7 (-846)) + (-4 *3 (-1059 *5 *6 *7)) + (-5 *2 + (-2 (|:| |done| (-641 *4)) + (|:| |todo| (-641 (-2 (|:| |val| (-641 *3)) (|:| -3419 *4)))))) + (-5 *1 (-1063 *5 *6 *7 *3 *4)) (-4 *4 (-1065 *5 *6 *7 *3)))) + ((*1 *2 *3 *4 *5) + (-12 (-5 *5 (-767)) (-4 *6 (-452)) (-4 *7 (-789)) (-4 *8 (-846)) + (-4 *3 (-1059 *6 *7 *8)) + (-5 *2 + (-2 (|:| |done| (-641 *4)) + (|:| |todo| (-641 (-2 (|:| |val| (-641 *3)) (|:| -3419 *4)))))) + (-5 *1 (-1139 *6 *7 *8 *3 *4)) (-4 *4 (-1103 *6 *7 *8 *3)))) + ((*1 *2 *3 *4) + (-12 (-4 *5 (-452)) (-4 *6 (-789)) (-4 *7 (-846)) + (-4 *3 (-1059 *5 *6 *7)) + (-5 *2 + (-2 (|:| |done| (-641 *4)) + (|:| |todo| (-641 (-2 (|:| |val| (-641 *3)) (|:| -3419 *4)))))) + (-5 *1 (-1139 *5 *6 *7 *3 *4)) (-4 *4 (-1103 *5 *6 *7 *3))))) (((*1 *2 *3 *4) - (-12 (-4 *5 (-1094)) (-4 *3 (-896 *5)) (-5 *2 (-1259 *3)) - (-5 *1 (-688 *5 *3 *6 *4)) (-4 *6 (-373 *3)) - (-4 *4 (-13 (-373 *5) (-10 -7 (-6 -4407))))))) + (-12 (-4 *5 (-452)) (-4 *6 (-789)) (-4 *7 (-846)) + (-4 *3 (-1059 *5 *6 *7)) + (-5 *2 (-641 (-2 (|:| |val| *3) (|:| -3419 *4)))) + (-5 *1 (-1102 *5 *6 *7 *3 *4)) (-4 *4 (-1065 *5 *6 *7 *3))))) (((*1 *2 *1) (-12 (-4 *4 (-1094)) (-5 *2 (-885 *3 *5)) (-5 *1 (-881 *3 *4 *5)) (-4 *3 (-1094)) (-4 *5 (-662 *4))))) -(((*1 *1 *1 *1 *2) - (-12 (-4 *1 (-1059 *3 *4 *2)) (-4 *3 (-1045)) (-4 *4 (-789)) - (-4 *2 (-846)))) - ((*1 *1 *1 *1) - (-12 (-4 *1 (-1059 *2 *3 *4)) (-4 *2 (-1045)) (-4 *3 (-789)) - (-4 *4 (-846))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-1166 *1)) (-5 *4 (-1170)) (-4 *1 (-27)) - (-5 *2 (-641 *1)))) - ((*1 *2 *3) (-12 (-5 *3 (-1166 *1)) (-4 *1 (-27)) (-5 *2 (-641 *1)))) - ((*1 *2 *3) (-12 (-5 *3 (-948 *1)) (-4 *1 (-27)) (-5 *2 (-641 *1)))) - ((*1 *2 *1 *3) - (-12 (-5 *3 (-1170)) (-4 *4 (-13 (-846) (-556))) (-5 *2 (-641 *1)) - (-4 *1 (-29 *4)))) - ((*1 *2 *1) - (-12 (-4 *3 (-13 (-846) (-556))) (-5 *2 (-641 *1)) (-4 *1 (-29 *3)))) - ((*1 *2 *3 *4 *5) - (-12 (-5 *3 (-316 (-225))) (-5 *4 (-641 (-1170))) - (-5 *5 (-1088 (-839 (-225)))) (-5 *2 (-1150 (-225))) (-5 *1 (-300))))) -(((*1 *2 *2 *2) (-12 (-5 *2 (-1172 (-407 (-564)))) (-5 *1 (-190))))) -(((*1 *2 *3 *3 *4 *4 *4 *3) - (-12 (-5 *3 (-564)) (-5 *4 (-685 (-225))) (-5 *2 (-1031)) - (-5 *1 (-752))))) -(((*1 *2 *1) (|partial| -12 (-5 *2 (-1098)) (-5 *1 (-280))))) +(((*1 *2 *3 *2) + (|partial| -12 (-5 *2 (-1259 *4)) (-5 *3 (-685 *4)) (-4 *4 (-363)) + (-5 *1 (-663 *4)))) + ((*1 *2 *3 *2) + (|partial| -12 (-4 *4 (-363)) + (-4 *5 (-13 (-373 *4) (-10 -7 (-6 -4408)))) + (-4 *2 (-13 (-373 *4) (-10 -7 (-6 -4408)))) + (-5 *1 (-664 *4 *5 *2 *3)) (-4 *3 (-683 *4 *5 *2)))) + ((*1 *2 *3 *2 *4 *5) + (|partial| -12 (-5 *4 (-641 *2)) (-5 *5 (-1 *2 *2)) (-4 *2 (-363)) + (-5 *1 (-810 *2 *3)) (-4 *3 (-652 *2)))) + ((*1 *2 *3) + (-12 (-4 *2 (-13 (-363) (-10 -8 (-15 ** ($ $ (-407 (-564))))))) + (-5 *1 (-1122 *3 *2)) (-4 *3 (-1235 *2))))) +(((*1 *2 *3) + (-12 (-5 *3 (-247 *4 *5)) (-14 *4 (-641 (-1170))) (-4 *5 (-1045)) + (-5 *2 (-481 *4 *5)) (-5 *1 (-940 *4 *5))))) +(((*1 *2 *2) (-12 (-5 *2 (-316 (-225))) (-5 *1 (-210))))) +(((*1 *2) + (-12 (-5 *2 (-1264)) (-5 *1 (-1186 *3 *4)) (-4 *3 (-1094)) + (-4 *4 (-1094))))) +(((*1 *1 *2) + (-12 (-5 *2 (-641 (-564))) (-5 *1 (-1000 *3)) (-14 *3 (-564))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) - (-12 (-4 *3 (-13 (-846) (-556))) (-5 *1 (-276 *3 *2)) + (-12 (-4 *3 (-556)) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-998))))) ((*1 *2 *2) (-12 (-4 *3 (-38 (-407 (-564)))) (-4 *4 (-1250 *3)) @@ -574,60 +627,43 @@ ((*1 *2 *2) (-12 (-5 *2 (-1150 *3)) (-4 *3 (-38 (-407 (-564)))) (-5 *1 (-1156 *3))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-1 *6 *5 *4)) (-4 *5 (-1094)) (-4 *4 (-1094)) - (-4 *6 (-1094)) (-5 *2 (-1 *6 *5)) (-5 *1 (-680 *5 *4 *6))))) +(((*1 *2 *3) + (-12 (-4 *4 (-452)) (-4 *4 (-556)) (-4 *5 (-789)) (-4 *6 (-846)) + (-5 *2 (-641 *3)) (-5 *1 (-973 *4 *5 *6 *3)) + (-4 *3 (-1059 *4 *5 *6))))) (((*1 *2 *1) (-12 (-4 *1 (-254 *3)) (-4 *3 (-1209)) (-5 *2 (-767)))) ((*1 *2 *1) (-12 (-4 *1 (-302)) (-5 *2 (-767)))) ((*1 *2 *3) (-12 (-4 *4 (-1045)) (-4 *2 (-13 (-404) (-1034 *4) (-363) (-1194) (-284))) (-5 *1 (-443 *4 *3 *2)) (-4 *3 (-1235 *4)))) - ((*1 *2 *1) (-12 (-5 *2 (-767)) (-5 *1 (-610 *3)) (-4 *3 (-846)))) + ((*1 *2 *1) (-12 (-5 *2 (-767)) (-5 *1 (-610 *3)) (-4 *3 (-1094)))) ((*1 *2) (-12 (-5 *2 (-564)) (-5 *1 (-858)))) ((*1 *2 *1) (-12 (-5 *2 (-564)) (-5 *1 (-858))))) -(((*1 *2 *3 *3 *3 *3 *3 *3 *3 *3 *4 *5 *5 *5 *5 *5 *5 *6 *6 *6 *3 *3 *5 - *7 *3 *8) - (-12 (-5 *5 (-685 (-225))) (-5 *6 (-112)) (-5 *7 (-685 (-564))) - (-5 *8 (-3 (|:| |fn| (-388)) (|:| |fp| (-65 QPHESS)))) - (-5 *3 (-564)) (-5 *4 (-225)) (-5 *2 (-1031)) (-5 *1 (-749))))) -(((*1 *1 *2 *2 *3 *1) - (-12 (-5 *2 (-506)) (-5 *3 (-1098)) (-5 *1 (-291))))) -(((*1 *2 *1 *3 *3) - (-12 (-5 *3 (-917)) (-5 *2 (-1264)) (-5 *1 (-1260)))) - ((*1 *2 *1 *3 *3) - (-12 (-5 *3 (-917)) (-5 *2 (-1264)) (-5 *1 (-1261))))) -(((*1 *2 *1 *3) - (-12 (-5 *3 (-641 *1)) (-4 *1 (-1059 *4 *5 *6)) (-4 *4 (-1045)) - (-4 *5 (-789)) (-4 *6 (-846)) (-5 *2 (-112)))) - ((*1 *2 *1 *1) - (-12 (-4 *1 (-1059 *3 *4 *5)) (-4 *3 (-1045)) (-4 *4 (-789)) - (-4 *5 (-846)) (-5 *2 (-112)))) - ((*1 *2 *3 *1 *4) - (-12 (-5 *4 (-1 (-112) *3 *3)) (-4 *1 (-1202 *5 *6 *7 *3)) - (-4 *5 (-556)) (-4 *6 (-789)) (-4 *7 (-846)) - (-4 *3 (-1059 *5 *6 *7)) (-5 *2 (-112))))) -(((*1 *2 *3) - (-12 (-4 *4 (-13 (-307) (-147))) (-4 *5 (-789)) (-4 *6 (-846)) - (-4 *7 (-945 *4 *5 *6)) (-5 *2 (-641 (-641 *7))) - (-5 *1 (-448 *4 *5 *6 *7)) (-5 *3 (-641 *7)))) - ((*1 *2 *3 *4) - (-12 (-5 *4 (-112)) (-4 *5 (-13 (-307) (-147))) (-4 *6 (-789)) - (-4 *7 (-846)) (-4 *8 (-945 *5 *6 *7)) (-5 *2 (-641 (-641 *8))) - (-5 *1 (-448 *5 *6 *7 *8)) (-5 *3 (-641 *8))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-225)) (-5 *4 (-564)) (-5 *2 (-1031)) (-5 *1 (-754))))) -(((*1 *2 *1) (-12 (-4 *1 (-1143 *3)) (-4 *3 (-1209)) (-5 *2 (-112))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-641 (-776 *5 (-860 *6)))) (-5 *4 (-112)) (-4 *5 (-452)) - (-14 *6 (-641 (-1170))) - (-5 *2 - (-641 (-1140 *5 (-531 (-860 *6)) (-860 *6) (-776 *5 (-860 *6))))) - (-5 *1 (-626 *5 *6))))) -(((*1 *2 *2) (-12 (-5 *2 (-917)) (-5 *1 (-1262)))) - ((*1 *2) (-12 (-5 *2 (-917)) (-5 *1 (-1262))))) +(((*1 *2 *1) + (-12 (-4 *1 (-972 *3 *4 *5 *6)) (-4 *3 (-1045)) (-4 *4 (-789)) + (-4 *5 (-846)) (-4 *6 (-1059 *3 *4 *5)) (-4 *3 (-556)) + (-5 *2 (-112))))) +(((*1 *2 *1) + (-12 (-4 *1 (-367 *3)) (-4 *3 (-172)) (-4 *3 (-556)) + (-5 *2 (-1166 *3))))) +(((*1 *1 *1 *1) (-12 (-4 *1 (-848 *2)) (-4 *2 (-1045)) (-4 *2 (-363))))) +(((*1 *1 *1) + (-12 (-4 *1 (-253 *2 *3 *4 *5)) (-4 *2 (-1045)) (-4 *3 (-846)) + (-4 *4 (-266 *3)) (-4 *5 (-789))))) +(((*1 *2 *1 *1) + (-12 (-4 *3 (-556)) (-4 *3 (-1045)) + (-5 *2 (-2 (|:| -3532 *1) (|:| -1842 *1))) (-4 *1 (-848 *3)))) + ((*1 *2 *3 *3 *4) + (-12 (-5 *4 (-99 *5)) (-4 *5 (-556)) (-4 *5 (-1045)) + (-5 *2 (-2 (|:| -3532 *3) (|:| -1842 *3))) (-5 *1 (-849 *5 *3)) + (-4 *3 (-848 *5))))) +(((*1 *2 *3) (-12 (-5 *3 (-1152)) (-5 *2 (-1264)) (-5 *1 (-582))))) +(((*1 *1) (-5 *1 (-437)))) +(((*1 *2 *2 *2) + (-12 (-4 *3 (-1209)) (-5 *1 (-182 *3 *2)) (-4 *2 (-670 *3))))) (((*1 *2 *2) - (-12 (-4 *3 (-13 (-846) (-556))) (-5 *1 (-276 *3 *2)) + (-12 (-4 *3 (-556)) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-998))))) ((*1 *2 *2) (-12 (-4 *3 (-38 (-407 (-564)))) (-4 *4 (-1250 *3)) @@ -642,39 +678,53 @@ (-12 (-5 *2 (-1150 *3)) (-4 *3 (-38 (-407 (-564)))) (-5 *1 (-1156 *3)))) ((*1 *1 *1) (-4 *1 (-1197)))) -(((*1 *2 *3) - (-12 (-5 *3 (-3 (|:| |fst| (-434)) (|:| -1835 "void"))) - (-5 *2 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(-276 *3 *2)) + (-12 (-4 *3 (-556)) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-998))))) ((*1 *2 *2) (-12 (-4 *3 (-38 (-407 (-564)))) (-4 *4 (-1250 *3)) @@ -689,28 +739,26 @@ (-12 (-5 *2 (-1150 *3)) (-4 *3 (-38 (-407 (-564)))) (-5 *1 (-1156 *3)))) ((*1 *1 *1) (-4 *1 (-1197)))) -(((*1 *2 *2 *2) - (-12 (-4 *3 (-363)) (-5 *1 (-762 *2 *3)) (-4 *2 (-704 *3)))) - ((*1 *1 *1 *1) (-12 (-4 *1 (-848 *2)) (-4 *2 (-1045)) (-4 *2 (-363))))) -(((*1 *2 *1 *1) - (-12 (-4 *3 (-556)) (-4 *3 (-1045)) (-4 *4 (-789)) (-4 *5 (-846)) - (-5 *2 (-641 *1)) (-4 *1 (-1059 *3 *4 *5))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-225)) (-5 *4 (-564)) (-5 *2 (-1031)) (-5 *1 (-754))))) -(((*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-922))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-685 *8)) (-4 *8 (-945 *5 *7 *6)) - (-4 *5 (-13 (-307) (-147))) (-4 *6 (-13 (-846) (-612 (-1170)))) - (-4 *7 (-789)) +(((*1 *1 *1) + (-12 (-5 *1 (-50 *2 *3)) (-4 *2 (-1045)) (-14 *3 (-641 (-1170))))) + ((*1 *1 *1) + (-12 (-5 *1 (-223 *2 *3)) (-4 *2 (-13 (-1045) (-846))) + (-14 *3 (-641 (-1170)))))) +(((*1 *1 *1) + (-12 (-4 *1 (-1059 *2 *3 *4)) (-4 *2 (-1045)) (-4 *3 (-789)) + (-4 *4 (-846))))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *5 (-564)) (-4 *6 (-789)) (-4 *7 (-846)) (-4 *8 (-307)) + (-4 *9 (-945 *8 *6 *7)) + (-5 *2 (-2 (|:| -3185 (-1166 *9)) (|:| |polval| (-1166 *8)))) + (-5 *1 (-738 *6 *7 *8 *9)) (-5 *3 (-1166 *9)) (-5 *4 (-1166 *8))))) +(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *5) + (-12 (-5 *3 (-1 (-379) (-379))) (-5 *4 (-379)) (-5 *2 - (-641 - (-2 (|:| -4242 (-767)) - (|:| |eqns| - (-641 - (-2 (|:| |det| *8) (|:| |rows| (-641 (-564))) - (|:| |cols| (-641 (-564)))))) - (|:| |fgb| (-641 *8))))) - (-5 *1 (-920 *5 *6 *7 *8)) (-5 *4 (-767))))) + (-2 (|:| -2061 *4) (|:| -2505 *4) (|:| |totalpts| (-564)) + (|:| |success| (-112)))) + (-5 *1 (-785)) (-5 *5 (-564))))) +(((*1 *2 *1) (-12 (-4 *1 (-527)) (-5 *2 (-687 (-1215)))))) (((*1 *2 *3 *1) (-12 (-5 *3 (-1283 *4 *2)) (-4 *1 (-374 *4 *2)) (-4 *4 (-846)) (-4 *2 (-172)))) @@ -721,19 +769,55 @@ (-4 *2 (-1045)))) 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|fp| (-64 G)))) (-5 *2 (-1031)) + (-5 *1 (-744))))) (((*1 *1 *1 *1) (-12 (-5 *1 (-294 *2)) (-4 *2 (-302)) (-4 *2 (-1209)))) ((*1 *1 *1 *2 *3) (-12 (-5 *2 (-641 (-610 *1))) (-5 *3 (-641 *1)) (-4 *1 (-302)))) ((*1 *1 *1 *2) (-12 (-5 *2 (-641 (-294 *1))) (-4 *1 (-302)))) ((*1 *1 *1 *2) (-12 (-5 *2 (-294 *1)) (-4 *1 (-302))))) -(((*1 *2 *1) (-12 (-4 *1 (-1278 *3)) (-4 *3 (-363)) (-5 *2 (-112))))) -(((*1 *1 *2) (-12 (-5 *1 (-1022 *2)) (-4 *2 (-1209))))) +(((*1 *2 *3 *4 *4 *4 *5 *6 *7) + (|partial| -12 (-5 *5 (-1170)) + (-5 *6 + (-1 + (-3 + (-2 (|:| |mainpart| *4) + (|:| |limitedlogs| + (-641 (-2 (|:| |coeff| *4) (|:| |logand| *4))))) + "failed") + *4 (-641 *4))) + (-5 *7 + (-1 (-3 (-2 (|:| -2966 *4) (|:| |coeff| *4)) "failed") *4 *4)) + (-4 *4 (-13 (-1194) (-27) (-430 *8))) + (-4 *8 (-13 (-452) (-147) (-1034 *3) (-637 *3))) (-5 *3 (-564)) + (-5 *2 (-641 *4)) (-5 *1 (-1010 *8 *4))))) +(((*1 *2 *2 *3 *4) + (-12 (-5 *2 (-1259 *5)) (-5 *3 (-767)) (-5 *4 (-1114)) (-4 *5 (-349)) + (-5 *1 (-528 *5))))) +(((*1 *2 *2) + (-12 (-5 *2 (-1150 *3)) (-4 *3 (-1045)) (-5 *1 (-1154 *3)))) + ((*1 *1 *1) + (-12 (-5 *1 (-1251 *2 *3 *4)) (-4 *2 (-1045)) (-14 *3 (-1170)) + (-14 *4 *2)))) (((*1 *2 *2) - (-12 (-4 *3 (-13 (-846) (-556))) (-5 *1 (-276 *3 *2)) + (-12 (-4 *3 (-556)) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-998))))) ((*1 *2 *2) (-12 (-4 *3 (-38 (-407 (-564)))) (-4 *4 (-1250 *3)) @@ -748,62 +832,56 @@ (-12 (-5 *2 (-1150 *3)) (-4 *3 (-38 (-407 (-564)))) (-5 *1 (-1156 *3)))) ((*1 *1 *1) (-4 *1 (-1197)))) -(((*1 *2 *3 *4) - (-12 (-5 *4 (-1170)) - (-4 *5 (-13 (-846) (-1034 (-564)) (-452) (-637 (-564)))) - (-5 *2 (-2 (|:| -3451 *3) (|:| |nconst| *3))) (-5 *1 (-567 *5 *3)) - (-4 *3 (-13 (-27) (-1194) (-430 *5)))))) (((*1 *1) (-5 *1 (-291)))) -(((*1 *2 *2) - (-12 (-5 *2 (-112)) (-5 *1 (-442 *3)) (-4 *3 (-1235 (-564)))))) +(((*1 *2 *3 *4 *4) + (-12 (-5 *4 (-1170)) (-5 *2 (-1 *7 *5 *6)) (-5 *1 (-698 *3 *5 *6 *7)) + (-4 *3 (-612 (-536))) (-4 *5 (-1209)) (-4 *6 (-1209)) + (-4 *7 (-1209)))) + ((*1 *2 *3 *4) + (-12 (-5 *4 (-1170)) (-5 *2 (-1 *6 *5)) (-5 *1 (-702 *3 *5 *6)) + (-4 *3 (-612 (-536))) (-4 *5 (-1209)) (-4 *6 (-1209))))) (((*1 *2 *3) - (-12 (-5 *3 (-1150 (-225))) (-5 *2 (-641 (-1152))) (-5 *1 (-192)))) - ((*1 *2 *3) - (-12 (-5 *3 (-1150 (-225))) (-5 *2 (-641 (-1152))) (-5 *1 (-300)))) + (-12 (-4 *4 (-452)) + (-5 *2 + (-641 + (-2 (|:| |eigval| (-3 (-407 (-948 *4)) (-1159 (-1170) (-948 *4)))) + (|:| |geneigvec| (-641 (-685 (-407 (-948 *4)))))))) + (-5 *1 (-292 *4)) (-5 *3 (-685 (-407 (-948 *4))))))) +(((*1 *2 *1 *1) + (-12 (-4 *3 (-363)) (-4 *3 (-1045)) + (-5 *2 (-2 (|:| -3532 *1) (|:| -1842 *1))) (-4 *1 (-848 *3)))) + ((*1 *2 *3 *3 *4) + (-12 (-5 *4 (-99 *5)) (-4 *5 (-363)) (-4 *5 (-1045)) + (-5 *2 (-2 (|:| -3532 *3) (|:| -1842 *3))) (-5 *1 (-849 *5 *3)) + (-4 *3 (-848 *5))))) +(((*1 *2 *3 *2 *2) + (-12 (-5 *2 (-641 (-481 *4 *5))) (-5 *3 (-860 *4)) + (-14 *4 (-641 (-1170))) (-4 *5 (-452)) (-5 *1 (-629 *4 *5))))) +(((*1 *2 *2) + (-12 (-4 *3 (-363)) (-4 *4 (-373 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(-789)) (-4 *6 (-846)) - (-4 *7 (-1059 *4 *5 *6)) (-5 *2 (-112)) - (-5 *1 (-984 *4 *5 *6 *7 *3)) (-4 *3 (-1065 *4 *5 *6 *7)))) - ((*1 *2 *3 *3) - (|partial| -12 (-4 *4 (-452)) (-4 *5 (-789)) (-4 *6 (-846)) - (-4 *7 (-1059 *4 *5 *6)) (-5 *2 (-112)) - (-5 *1 (-1101 *4 *5 *6 *7 *3)) (-4 *3 (-1065 *4 *5 *6 *7))))) -(((*1 *2 *3) - (-12 (-5 *2 (-1 (-939 *3) (-939 *3))) (-5 *1 (-176 *3)) - (-4 *3 (-13 (-363) (-1194) (-998))))) - ((*1 *2) - (|partial| -12 (-4 *4 (-1213)) (-4 *5 (-1235 (-407 *2))) - (-4 *2 (-1235 *4)) (-5 *1 (-341 *3 *4 *2 *5)) - (-4 *3 (-342 *4 *2 *5)))) - ((*1 *2) - (|partial| -12 (-4 *1 (-342 *3 *2 *4)) (-4 *3 (-1213)) - (-4 *4 (-1235 (-407 *2))) (-4 *2 (-1235 *3))))) -(((*1 *2 *1) - (-12 (-4 *1 (-1221 *3 *2)) (-4 *3 (-1045)) (-4 *2 (-1250 *3))))) + (-12 (-4 *4 (-556)) (-4 *5 (-373 *4)) (-4 *6 (-373 *4)) + (-4 *7 (-988 *4)) (-4 *2 (-683 *7 *8 *9)) + (-5 *1 (-522 *4 *5 *6 *3 *7 *8 *9 *2)) (-4 *3 (-683 *4 *5 *6)) + (-4 *8 (-373 *7)) (-4 *9 (-373 *7)))) + ((*1 *1 *1) + (-12 (-4 *1 (-683 *2 *3 *4)) (-4 *2 (-1045)) (-4 *3 (-373 *2)) + (-4 *4 (-373 *2)) (-4 *2 (-307)))) + ((*1 *2 *2) + (-12 (-4 *3 (-307)) (-4 *3 (-172)) (-4 *4 (-373 *3)) + (-4 *5 (-373 *3)) (-5 *1 (-684 *3 *4 *5 *2)) + (-4 *2 (-683 *3 *4 *5)))) + ((*1 *2 *2 *3) + (-12 (-5 *2 (-685 *3)) (-4 *3 (-307)) (-5 *1 (-696 *3)))) + ((*1 *1 *1) + (-12 (-4 *1 (-1048 *2 *3 *4 *5 *6)) (-4 *4 (-1045)) + (-4 *5 (-238 *3 *4)) (-4 *6 (-238 *2 *4)) (-4 *4 (-307))))) +(((*1 *2 *1) (-12 (-4 *1 (-670 *3)) (-4 *3 (-1209)) (-5 *2 (-112))))) +(((*1 *1 *1 *1) (-4 *1 (-963)))) +(((*1 *1 *2) (-12 (-5 *2 (-157)) (-5 *1 (-870))))) (((*1 *2 *2) - (-12 (-4 *3 (-13 (-846) (-556))) (-5 *1 (-276 *3 *2)) + (-12 (-4 *3 (-556)) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-998))))) ((*1 *2 *2) (-12 (-4 *3 (-38 (-407 (-564)))) (-4 *4 (-1250 *3)) @@ -821,6 +899,11 @@ (-12 (-5 *2 (-1150 *3)) (-4 *3 (-38 (-407 (-564)))) (-5 *1 (-1156 *3)))) ((*1 *1 *1) (-4 *1 (-1197)))) +(((*1 *2 *2 *2) (-12 (-5 *2 (-225)) (-5 *1 (-226)))) + ((*1 *2 *2 *2) (-12 (-5 *2 (-169 (-225))) (-5 *1 (-226)))) + ((*1 *2 *2 *2) + (-12 (-4 *3 (-556)) (-5 *1 (-431 *3 *2)) (-4 *2 (-430 *3)))) + ((*1 *1 *1 *1) (-4 *1 (-1133)))) (((*1 *1 *2 *1) (-12 (-5 *2 (-1 *3 *3)) (-4 *1 (-47 *3 *4)) (-4 *3 (-1045)) (-4 *4 (-788)))) @@ -870,8 +953,8 @@ (-12 (-5 *3 (-1 *6 *5)) (-5 *4 (-685 *5)) (-4 *5 (-1045)) (-4 *6 (-1045)) (-5 *2 (-685 *6)) (-5 *1 (-304 *5 *6)))) ((*1 *2 *3 *4) - (-12 (-5 *3 (-1 *6 *5)) (-5 *4 (-316 *5)) (-4 *5 (-846)) - (-4 *6 (-846)) (-5 *2 (-316 *6)) (-5 *1 (-314 *5 *6)))) + (-12 (-5 *3 (-1 *6 *5)) (-5 *4 (-316 *5)) (-4 *5 (-1094)) + (-4 *6 (-1094)) (-5 *2 (-316 *6)) (-5 *1 (-314 *5 *6)))) ((*1 *2 *3 *4) (-12 (-5 *3 (-1 *9 *5)) (-5 *4 (-336 *5 *6 *7 *8)) (-4 *5 (-363)) (-4 *6 (-1235 *5)) (-4 *7 (-1235 (-407 *6))) (-4 *8 (-342 *5 *6 *7)) @@ -912,9 +995,8 @@ ((*1 *1 *2 *1) (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-556)) (-5 *1 (-418 *3)))) ((*1 *2 *3 *4) - (-12 (-5 *3 (-1 *6 *5)) (-4 *5 (-13 (-1045) (-846))) - (-4 *6 (-13 (-1045) (-846))) (-4 *2 (-430 *6)) - (-5 *1 (-421 *5 *4 *6 *2)) (-4 *4 (-430 *5)))) + (-12 (-5 *3 (-1 *6 *5)) (-4 *5 (-1045)) (-4 *6 (-1045)) + (-4 *2 (-430 *6)) (-5 *1 (-421 *5 *4 *6 *2)) (-4 *4 (-430 *5)))) ((*1 *2 *3 *4) (-12 (-5 *3 (-1 *6 *5)) (-4 *5 (-1094)) (-4 *6 (-1094)) (-4 *2 (-425 *6)) (-5 *1 (-423 *5 *4 *6 *2)) (-4 *4 (-425 *5)))) @@ -928,9 +1010,9 @@ (-4 *6 (-363)) (-5 *2 (-585 *6)) (-5 *1 (-584 *5 *6)))) ((*1 *2 *3 *4) (|partial| -12 (-5 *3 (-1 *6 *5)) - (-5 *4 (-3 (-2 (|:| -3139 *5) (|:| |coeff| *5)) "failed")) + (-5 *4 (-3 (-2 (|:| -2966 *5) (|:| |coeff| *5)) "failed")) (-4 *5 (-363)) (-4 *6 (-363)) - (-5 *2 (-2 (|:| -3139 *6) (|:| |coeff| *6))) + (-5 *2 (-2 (|:| -2966 *6) (|:| |coeff| *6))) (-5 *1 (-584 *5 *6)))) ((*1 *2 *3 *4) (|partial| -12 (-5 *3 (-1 *2 *5)) (-5 *4 (-3 *5 "failed")) @@ -1150,32 +1232,14 @@ ((*1 *1 *2 *1) (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1045)) (-5 *1 (-1282 *3 *4)) (-4 *4 (-842))))) -(((*1 *2 *3) - (-12 (-5 *3 (-1232 *5 *4)) (-4 *4 (-816)) (-14 *5 (-1170)) - (-5 *2 (-564)) (-5 *1 (-1108 *4 *5))))) -(((*1 *1 *1 *1) - (-12 (-5 *1 (-136 *2 *3 *4)) (-14 *2 (-564)) (-14 *3 (-767)) - (-4 *4 (-172)))) - ((*1 *2 *2 *3) - (-12 (-5 *3 (-1170)) (-4 *4 (-13 (-846) (-556))) (-5 *1 (-158 *4 *2)) - (-4 *2 (-430 *4)))) - ((*1 *2 *2 *3) - (-12 (-5 *3 (-1086 *2)) (-4 *2 (-430 *4)) (-4 *4 (-13 (-846) (-556))) - (-5 *1 (-158 *4 *2)))) - ((*1 *1 *1 *2) (-12 (-5 *2 (-1086 *1)) (-4 *1 (-160)))) - ((*1 *1 *1 *2) (-12 (-4 *1 (-160)) (-5 *2 (-1170)))) - ((*1 *1 *1 *1) - (-12 (-4 *1 (-465 *2 *3)) (-4 *2 (-172)) (-4 *3 (-23)))) - ((*1 *1 *1 *1 *2) - (-12 (-5 *2 (-767)) (-5 *1 (-1279 *3 *4)) (-4 *3 (-846)) - (-4 *4 (-172))))) -(((*1 *2 *3 *2) (-12 (-5 *2 (-225)) (-5 *3 (-767)) (-5 *1 (-226)))) - ((*1 *2 *3 *2) - (-12 (-5 *2 (-169 (-225))) (-5 *3 (-767)) (-5 *1 (-226)))) - ((*1 *2 *2 *2) - (-12 (-4 *3 (-13 (-846) (-556))) (-5 *1 (-431 *3 *2)) - (-4 *2 (-430 *3)))) - ((*1 *1 *1 *1) (-4 *1 (-1133)))) +(((*1 *2 *2) (-12 (-5 *2 (-225)) (-5 *1 (-257))))) +(((*1 *2 *3 *3 *3 *4) + (-12 (-5 *3 (-564)) (-5 *4 (-685 (-225))) (-5 *2 (-1031)) + (-5 *1 (-753))))) +(((*1 *2 *3 *3 *3 *3 *4 *4 *3) + (-12 (-5 *3 (-564)) (-5 *4 (-685 (-225))) (-5 *2 (-1031)) + (-5 *1 (-751))))) +(((*1 *1) (-4 *1 (-349)))) (((*1 *2 *3 *4 *5) (-12 (-5 *3 (-875 (-1 (-225) (-225)))) (-5 *4 (-1088 (-379))) (-5 *5 (-641 (-263))) (-5 *2 (-1127 (-225))) (-5 *1 (-255)))) @@ -1229,21 +1293,33 @@ (-12 (-5 *3 (-878 *5)) (-5 *4 (-1086 (-379))) (-4 *5 (-13 (-612 (-536)) (-1094))) (-5 *2 (-1127 (-225))) (-5 *1 (-259 *5))))) -(((*1 *1 *1 *2 *1) (-12 (-5 *1 (-127 *2)) (-4 *2 (-1094)))) - ((*1 *1 *2) (-12 (-5 *1 (-127 *2)) (-4 *2 (-1094))))) -(((*1 *1 *2 *3) - (-12 (-5 *2 (-506)) (-5 *3 (-641 (-961))) (-5 *1 (-109))))) -(((*1 *2 *1) - (-12 (-5 *2 (-112)) (-5 *1 (-1158 *3 *4)) (-14 *3 (-917)) - (-4 *4 (-1045))))) (((*1 *2 *3) - (-12 (-5 *3 (-1152)) (-5 *2 (-564)) (-5 *1 (-1191 *4)) - (-4 *4 (-1045))))) -(((*1 *2 *3 *4 *5) - (-12 (-5 *3 (-1 *2 *6)) (-5 *4 (-1 *6 *5)) (-4 *5 (-1094)) - (-4 *6 (-1094)) (-4 *2 (-1094)) (-5 *1 (-676 *5 *6 *2))))) + (-12 + (-5 *3 + (-2 (|:| |xinit| (-225)) (|:| |xend| (-225)) + (|:| |fn| (-1259 (-316 (-225)))) (|:| |yinit| (-641 (-225))) + (|:| |intvals| (-641 (-225))) (|:| |g| (-316 (-225))) + (|:| |abserr| (-225)) (|:| |relerr| (-225)))) + (-5 *2 + (-2 (|:| |stiffnessFactor| (-379)) (|:| |stabilityFactor| (-379)))) + (-5 *1 (-205))))) +(((*1 *2 *3 *4) + (|partial| -12 (-5 *4 (-641 (-407 *6))) (-5 *3 (-407 *6)) + (-4 *6 (-1235 *5)) (-4 *5 (-13 (-363) (-147) (-1034 (-564)))) + (-5 *2 + (-2 (|:| |mainpart| *3) + (|:| |limitedlogs| + (-641 (-2 (|:| |coeff| *3) (|:| |logand| *3)))))) + (-5 *1 (-568 *5 *6))))) +(((*1 *2) + (-12 (-5 *2 (-2 (|:| -1978 (-641 *3)) (|:| -2207 (-641 *3)))) + (-5 *1 (-1210 *3)) (-4 *3 (-1094))))) +(((*1 *2 *3 *4) + (-12 (-4 *6 (-556)) (-4 *2 (-945 *3 *5 *4)) + (-5 *1 (-728 *5 *4 *6 *2)) (-5 *3 (-407 (-948 *6))) (-4 *5 (-789)) + (-4 *4 (-13 (-846) (-10 -8 (-15 -4327 ((-1170) $)))))))) (((*1 *2 *2) - (-12 (-4 *3 (-13 (-846) (-556))) (-5 *1 (-276 *3 *2)) + (-12 (-4 *3 (-556)) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-998))))) ((*1 *2 *2) (-12 (-4 *3 (-38 (-407 (-564)))) (-4 *4 (-1250 *3)) @@ -1262,37 +1338,51 @@ (-12 (-5 *2 (-1150 *3)) (-4 *3 (-38 (-407 (-564)))) (-5 *1 (-1156 *3)))) ((*1 *1 *1) (-4 *1 (-1197)))) -(((*1 *2 *3) (-12 (-5 *3 (-939 *2)) (-5 *1 (-978 *2)) (-4 *2 (-1045))))) +(((*1 *1 *2) (-12 (-5 *2 (-157)) (-5 *1 (-870))))) (((*1 *2 *2) (|partial| -12 (-5 *2 (-316 (-225))) (-5 *1 (-305)))) ((*1 *2 *1) (|partial| -12 (-5 *2 (-2 (|:| |num| (-888 *3)) (|:| |den| (-888 *3)))) (-5 *1 (-888 *3)) (-4 *3 (-1094))))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *3 (-1 *2 *6)) (-5 *4 (-1 *6 *5)) (-4 *5 (-1094)) + (-4 *6 (-1094)) (-4 *2 (-1094)) (-5 *1 (-676 *5 *6 *2))))) +(((*1 *2 *3) + (-12 (-5 *3 (-641 (-481 *4 *5))) (-14 *4 (-641 (-1170))) + (-4 *5 (-452)) + (-5 *2 + (-2 (|:| |gblist| (-641 (-247 *4 *5))) + (|:| |gvlist| (-641 (-564))))) + (-5 *1 (-629 *4 *5))))) +(((*1 *2 *2 *3) + (-12 (-5 *2 (-641 *3)) (-4 *3 (-307)) (-5 *1 (-179 *3))))) +(((*1 *2 *3) (-12 (-5 *3 (-939 *2)) (-5 *1 (-978 *2)) (-4 *2 (-1045))))) +(((*1 *2 *3) + (-12 + (-5 *3 + (-641 + (-2 (|:| -4242 (-767)) + (|:| |eqns| + (-641 + (-2 (|:| |det| *7) (|:| |rows| (-641 (-564))) + (|:| |cols| (-641 (-564)))))) + (|:| |fgb| (-641 *7))))) + (-4 *7 (-945 *4 *6 *5)) (-4 *4 (-13 (-307) (-147))) + (-4 *5 (-13 (-846) (-612 (-1170)))) (-4 *6 (-789)) (-5 *2 (-767)) + (-5 *1 (-920 *4 *5 *6 *7))))) +(((*1 *2 *2 *3) + (-12 (-5 *3 (-641 (-641 (-641 *4)))) (-5 *2 (-641 (-641 *4))) + (-4 *4 (-846)) (-5 *1 (-1180 *4))))) +(((*1 *2 *2) (-12 (-5 *2 (-1088 (-839 (-225)))) (-5 *1 (-305))))) (((*1 *1 *1 *2) - (-12 (-5 *2 (-641 (-564))) (-5 *1 (-136 *3 *4 *5)) (-14 *3 (-564)) - (-14 *4 (-767)) (-4 *5 (-172))))) -(((*1 *2 *1 *3) (-12 (-5 *3 (-1152)) (-5 *2 (-1264)) (-5 *1 (-1261))))) -(((*1 *2 *1) (-12 (-4 *1 (-988 *2)) (-4 *2 (-556)) (-4 *2 (-545)))) - ((*1 *1 *1) (-4 *1 (-1054)))) -(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-888 *3)) (-4 *3 (-1094))))) -(((*1 *1) (-5 *1 (-225))) ((*1 *1) (-5 *1 (-379)))) -(((*1 *1 *1 *1) (-12 (-5 *1 (-778 *2)) (-4 *2 (-1045)))) - ((*1 *1 *1 *1) - (-12 (-4 *1 (-1059 *2 *3 *4)) (-4 *2 (-1045)) (-4 *3 (-789)) - (-4 *4 (-846))))) -(((*1 *2 *3 *4) - (-12 (-4 *5 (-1094)) (-4 *2 (-896 *5)) (-5 *1 (-688 *5 *2 *3 *4)) - (-4 *3 (-373 *2)) (-4 *4 (-13 (-373 *5) (-10 -7 (-6 -4407))))))) + (-12 (-5 *1 (-1134 *3 *2)) (-4 *3 (-13 (-1094) (-34))) + (-4 *2 (-13 (-1094) (-34)))))) (((*1 *2 *3) - (-12 (-4 *4 (-38 (-407 (-564)))) - (-5 *2 (-2 (|:| -4249 (-1150 *4)) (|:| -4261 (-1150 *4)))) - (-5 *1 (-1156 *4)) (-5 *3 (-1150 *4))))) -(((*1 *2 *1) (-12 (-5 *2 (-767)) (-5 *1 (-418 *3)) (-4 *3 (-556)))) - ((*1 *2 *3) - (-12 (-5 *3 (-641 (-2 (|:| -3546 *4) (|:| -3258 (-564))))) - (-4 *4 (-1235 (-564))) (-5 *2 (-767)) (-5 *1 (-442 *4))))) + (-12 (-4 *4 (-789)) (-4 *5 (-846)) (-4 *6 (-307)) + (-5 *2 (-641 (-767))) (-5 *1 (-774 *3 *4 *5 *6 *7)) + (-4 *3 (-1235 *6)) (-4 *7 (-945 *6 *4 *5))))) (((*1 *2 *2) - (-12 (-4 *3 (-13 (-846) (-556))) (-5 *1 (-276 *3 *2)) + (-12 (-4 *3 (-556)) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-998))))) ((*1 *2 *2) (-12 (-4 *3 (-38 (-407 (-564)))) (-4 *4 (-1250 *3)) @@ -1311,19 +1401,26 @@ (-12 (-5 *2 (-1150 *3)) (-4 *3 (-38 (-407 (-564)))) (-5 *1 (-1156 *3)))) ((*1 *1 *1) (-4 *1 (-1197)))) -(((*1 *2 *3) (-12 (-5 *3 (-641 (-564))) (-5 *2 (-767)) (-5 *1 (-589))))) -(((*1 *2 *3) (-12 (-5 *3 (-917)) (-5 *2 (-900 (-564))) (-5 *1 (-913)))) - ((*1 *2 *3) - (-12 (-5 *3 (-641 (-564))) (-5 *2 (-900 (-564))) (-5 *1 (-913))))) -(((*1 *2 *3 *3 *3 *4 *4 *5 *5 *5 *3 *5 *5 *3 *6 *3 *3 *3) - (-12 (-5 *5 (-685 (-225))) (-5 *6 (-685 (-564))) (-5 *3 (-564)) - (-5 *4 (-225)) (-5 *2 (-1031)) (-5 *1 (-748))))) -(((*1 *1 *2 *1) - (-12 (-5 *1 (-645 *2 *3 *4)) (-4 *2 (-1094)) (-4 *3 (-23)) - (-14 *4 *3)))) -(((*1 *2 *1) (-12 (-4 *1 (-991 *2)) (-4 *2 (-1209))))) -(((*1 *1 *2) - (-12 (-5 *2 (-641 (-901 *3))) (-4 *3 (-1094)) (-5 *1 (-900 *3))))) +(((*1 *2 *3) + (-12 (-5 *3 (-1259 (-685 *4))) (-4 *4 (-172)) + (-5 *2 (-1259 (-685 (-948 *4)))) (-5 *1 (-189 *4))))) +(((*1 *2) + (-12 (-4 *4 (-172)) (-5 *2 (-112)) (-5 *1 (-366 *3 *4)) + (-4 *3 (-367 *4)))) + ((*1 *2) (-12 (-4 *1 (-367 *3)) (-4 *3 (-172)) (-5 *2 (-112))))) +(((*1 *2 *3 *3) + (-12 (-5 *3 (-1232 *5 *4)) (-4 *4 (-452)) (-4 *4 (-816)) + (-14 *5 (-1170)) (-5 *2 (-564)) (-5 *1 (-1108 *4 *5))))) +(((*1 *2 *3) + (-12 (-4 *4 (-452)) (-4 *5 (-789)) (-4 *6 (-846)) (-5 *2 (-767)) + (-5 *1 (-449 *4 *5 *6 *3)) (-4 *3 (-945 *4 *5 *6))))) +(((*1 *2 *1 *3 *4) + (-12 (-5 *3 (-917)) (-5 *4 (-1152)) (-5 *2 (-1264)) (-5 *1 (-1260))))) +(((*1 *2 *3) + (-12 (-4 *4 (-307)) (-4 *5 (-373 *4)) (-4 *6 (-373 *4)) + (-5 *2 + (-2 (|:| |Smith| *3) (|:| |leftEqMat| *3) (|:| |rightEqMat| *3))) + (-5 *1 (-1118 *4 *5 *6 *3)) (-4 *3 (-683 *4 *5 *6))))) (((*1 *2 *1) (-12 (-5 *2 (-767)) (-5 *1 (-136 *3 *4 *5)) (-14 *3 (-564)) (-14 *4 *2) (-4 *5 (-172)))) @@ -1355,64 +1452,64 @@ (-12 (-4 *1 (-1048 *3 *4 *5 *6 *7)) (-4 *5 (-1045)) (-4 *6 (-238 *4 *5)) (-4 *7 (-238 *3 *5)) (-4 *5 (-556)) (-5 *2 (-767))))) -(((*1 *1) (-12 (-4 *1 (-329 *2)) (-4 *2 (-368)) (-4 *2 (-363)))) - ((*1 *2 *3) - (-12 (-5 *3 (-917)) (-5 *2 (-1259 *4)) (-5 *1 (-528 *4)) - (-4 *4 (-349))))) -(((*1 *2 *2) (|partial| -12 (-4 *1 (-979 *2)) (-4 *2 (-1194))))) -(((*1 *2 *3 *1) - (-12 (-4 *1 (-1065 *4 *5 *6 *3)) (-4 *4 (-452)) (-4 *5 (-789)) - (-4 *6 (-846)) (-4 *3 (-1059 *4 *5 *6)) (-5 *2 (-112))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-225)) (-5 *4 (-564)) (-5 *2 (-1031)) (-5 *1 (-754))))) +(((*1 *1 *2 *3 *1) + (-12 (-5 *2 (-888 *4)) (-4 *4 (-1094)) (-5 *1 (-885 *4 *3)) + (-4 *3 (-1094))))) +(((*1 *2 *3) (-12 (-5 *3 (-1152)) (-5 *2 (-52)) (-5 *1 (-825))))) +(((*1 *2 *3 *3) + (-12 (-4 *4 (-13 (-363) (-147) (-1034 (-564)))) (-4 *5 (-1235 *4)) + (-5 *2 (-2 (|:| |ans| (-407 *5)) (|:| |nosol| (-112)))) + (-5 *1 (-1011 *4 *5)) (-5 *3 (-407 *5))))) +(((*1 *2 *3 *2 *4) + (-12 (-5 *3 (-685 *2)) (-5 *4 (-767)) + (-4 *2 (-13 (-307) (-10 -8 (-15 -3518 ((-418 $) $))))) + (-4 *5 (-1235 *2)) (-5 *1 (-499 *2 *5 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(-5 *4 (-564)) (-5 *2 (-1031)) (-5 *1 (-754))))) +(((*1 *1 *1 *1) (-5 *1 (-858))) ((*1 *1 *1) (-5 *1 (-858))) + ((*1 *1 *2 *3) + (-12 (-5 *2 (-1166 (-564))) (-5 *3 (-564)) (-4 *1 (-865 *4))))) +(((*1 *2) + (-12 (-5 *2 (-1259 (-1095 *3 *4))) (-5 *1 (-1095 *3 *4)) + (-14 *3 (-917)) (-14 *4 (-917))))) +(((*1 *2 *1) + (|partial| -12 + (-5 *2 (-2 (|:| -1539 (-114)) (|:| |arg| (-641 (-888 *3))))) + (-5 *1 (-888 *3)) (-4 *3 (-1094)))) + ((*1 *2 *1 *3) + (|partial| -12 (-5 *3 (-114)) (-5 *2 (-641 (-888 *4))) + (-5 *1 (-888 *4)) (-4 *4 (-1094))))) (((*1 *2 *1) (-12 (-4 *1 (-47 *2 *3)) (-4 *3 (-788)) (-4 *2 (-1045)))) ((*1 *2 *1) (-12 (-4 *2 (-1045)) (-5 *1 (-50 *2 *3)) (-14 *3 (-641 (-1170))))) @@ -3430,8 +3391,8 @@ ((*1 *2 *1) (-12 (-14 *3 (-641 (-1170))) (-4 *5 (-238 (-2069 *3) (-767))) (-14 *6 - (-1 (-112) (-2 (|:| -2014 *4) (|:| -4165 *5)) - (-2 (|:| -2014 *4) (|:| -4165 *5)))) + (-1 (-112) (-2 (|:| -2014 *4) (|:| -2997 *5)) + (-2 (|:| -2014 *4) (|:| -2997 *5)))) (-4 *2 (-172)) (-5 *1 (-461 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(-12 (-5 *3 (-1166 (-407 (-1166 *2)))) (-5 *4 (-610 *2)) (-4 *2 (-13 (-430 *5) (-27) (-1194))) - (-4 *5 (-13 (-452) (-1034 (-564)) (-846) (-147) (-637 (-564)))) + (-4 *5 (-13 (-452) (-1034 (-564)) (-147) (-637 (-564)))) (-5 *1 (-560 *5 *2 *6)) (-4 *6 (-1094)))) ((*1 *1 *2 *3) (-12 (-5 *2 (-1166 *1)) (-4 *1 (-945 *4 *5 *3)) (-4 *4 (-1045)) @@ -4281,22 +4292,39 @@ ((*1 *2 *3 *4) (-12 (-5 *3 (-407 (-1166 (-407 (-948 *5))))) (-5 *4 (-1170)) (-5 *2 (-407 (-948 *5))) (-5 *1 (-1039 *5)) (-4 *5 (-556))))) -(((*1 *1) (-5 *1 (-291)))) +(((*1 *2 *2) + (-12 (-4 *3 (-1045)) (-5 *1 (-708 *3 *2)) (-4 *2 (-1235 *3))))) +(((*1 *2 *3 *4 *4 *3) + (|partial| -12 (-5 *4 (-610 *3)) + (-4 *3 (-13 (-430 *5) (-27) (-1194))) + (-4 *5 (-13 (-452) (-1034 (-564)) (-147) (-637 (-564)))) + (-5 *2 (-2 (|:| -2966 *3) (|:| |coeff| *3))) + (-5 *1 (-566 *5 *3 *6)) (-4 *6 (-1094))))) (((*1 *2 *3 *1) (|partial| -12 (-4 *1 (-36 *3 *4)) (-4 *3 (-1094)) (-4 *4 (-1094)) (-5 *2 (-2 (|:| -3026 *3) (|:| -3683 *4)))))) -(((*1 *1 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(-183))) (-5 *1 (-140))))) (((*1 *2 *3) (-12 (-5 *3 (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) - (|:| -3374 (-1088 (-839 (-225)))) (|:| |abserr| (-225)) + (|:| -3230 (-1088 (-839 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) (-5 *2 (-2 @@ -4314,7 +4342,7 @@ (-3 (|:| |str| (-1150 (-225))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) - (|:| -3374 + (|:| -3230 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") @@ -4322,14 +4350,14 @@ "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))) (-5 *1 (-559))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-225)) (-5 *4 (-564)) (-5 *2 (-1031)) (-5 *1 (-754))))) -(((*1 *2 *1) - (-12 (-4 *1 (-1097 *3 *4 *5 *6 *7)) (-4 *3 (-1094)) (-4 *4 (-1094)) - (-4 *5 (-1094)) (-4 *6 (-1094)) (-4 *7 (-1094)) (-5 *2 (-112))))) -(((*1 *2 *3) - (-12 (-5 *2 (-1 (-939 *3) (-939 *3))) (-5 *1 (-176 *3)) - (-4 *3 (-13 (-363) (-1194) (-998)))))) +(((*1 *2 *1 *1) (-12 (-4 *1 (-307)) (-5 *2 (-112))))) +(((*1 *2) + (-12 (-4 *4 (-172)) (-5 *2 (-112)) (-5 *1 (-366 *3 *4)) + (-4 *3 (-367 *4)))) + ((*1 *2) (-12 (-4 *1 (-367 *3)) (-4 *3 (-172)) (-5 *2 (-112))))) +(((*1 *2 *3) (-12 (-5 *3 (-1152)) (-5 *2 (-564)) (-5 *1 (-241)))) + ((*1 *2 *3) + (-12 (-5 *3 (-641 (-1152))) (-5 *2 (-564)) (-5 *1 (-241))))) (((*1 *1 *2 *3) (-12 (-4 *1 (-47 *2 *3)) (-4 *2 (-1045)) (-4 *3 (-788)))) ((*1 *1 *2 *3) @@ -4339,8 +4367,8 @@ (-12 (-5 *3 (-709 *5 *6 *7)) (-4 *5 (-846)) (-4 *6 (-238 (-2069 *4) (-767))) (-14 *7 - (-1 (-112) (-2 (|:| -2014 *5) (|:| -4165 *6)) - (-2 (|:| -2014 *5) (|:| -4165 *6)))) + (-1 (-112) (-2 (|:| -2014 *5) (|:| -2997 *6)) + (-2 (|:| -2014 *5) (|:| -2997 *6)))) (-14 *4 (-641 (-1170))) (-4 *2 (-172)) (-5 *1 (-461 *4 *2 *5 *6 *7 *8)) (-4 *8 (-945 *2 *6 (-860 *4))))) ((*1 *1 *2 *3) @@ -4370,10 +4398,10 @@ ((*1 *1 *1 *2 *3) (-12 (-4 *1 (-969 *4 *3 *2)) (-4 *4 (-1045)) (-4 *3 (-788)) (-4 *2 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*2)) (-4 *2 (-1094))))) (((*1 *1 *1 *1) (-4 *1 (-25))) ((*1 *1 *1 *1) (-5 *1 (-157))) ((*1 *1 *1 *1) (-12 (-5 *1 (-214 *2)) (-4 *2 (-13 (-846) - (-10 -8 (-15 -4361 ((-1152) $ (-1170))) (-15 -1682 ((-1264) $)) - (-15 -3141 ((-1264) $))))))) + (-10 -8 (-15 -4362 ((-1152) $ (-1170))) (-15 -1680 ((-1264) $)) + (-15 -4199 ((-1264) $))))))) ((*1 *1 *1 *2) (-12 (-5 *1 (-294 *2)) (-4 *2 (-25)) (-4 *2 (-1209)))) ((*1 *1 *2 *1) (-12 (-5 *1 (-294 *2)) (-4 *2 (-25)) (-4 *2 (-1209)))) ((*1 *1 *2 *1) @@ -8600,129 +8356,170 @@ (-12 (-5 *2 (-1150 *3)) (-4 *3 (-1045)) (-5 *1 (-1154 *3)))) ((*1 *2 *2 *2) (-12 (-5 *2 (-939 (-225))) (-5 *1 (-1205)))) ((*1 *1 *1 *1) (-12 (-4 *1 (-1257 *2)) (-4 *2 (-1209)) (-4 *2 (-25))))) +(((*1 *2 *1) + (-12 (-4 *1 (-1097 *3 *4 *5 *6 *7)) (-4 *3 (-1094)) (-4 *4 (-1094)) + (-4 *5 (-1094)) (-4 *6 (-1094)) (-4 *7 (-1094)) (-5 *2 (-112))))) +(((*1 *2 *1) (-12 (-5 *1 (-585 *2)) (-4 *2 (-363))))) (((*1 *2 *3) - (-12 (-4 *4 (-556)) (-4 *5 (-789)) (-4 *6 (-846)) - (-4 *7 (-1059 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|abserr| (-225)) + (|:| -3230 (-1088 (-839 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) (|:| |mdnia| (-2 (|:| |fn| (-316 (-225))) - (|:| -3374 (-641 (-1088 (-839 (-225))))) + (|:| -3230 (-641 (-1088 (-839 (-225))))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))))) (-5 *1 (-765)))) ((*1 *2 *1) @@ -8852,340 +8649,300 @@ (-12 (-5 *2 (-948 (-407 (-564)))) (-4 *1 (-1059 *3 *4 *5)) (-4 *3 (-38 (-407 (-564)))) (-4 *5 (-612 (-1170))) (-4 *3 (-1045)) (-4 *4 (-789)) (-4 *5 (-846))))) +(((*1 *2 *3) + (-12 (-5 *3 (-685 (-407 (-948 (-564))))) (-5 *2 (-641 (-316 (-564)))) + (-5 *1 (-1027))))) +(((*1 *2 *3) (-12 (-5 *2 (-407 (-564))) (-5 *1 (-561)) (-5 *3 (-564)))) + ((*1 *2 *3) + (-12 (-5 *2 (-1166 (-407 (-564)))) (-5 *1 (-938)) (-5 *3 (-564))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-901 (-564))) (-5 *4 (-564)) (-5 *2 (-685 *4)) + (-5 *1 (-1024 *5)) (-4 *5 (-1045)))) + ((*1 *2 *3) + (-12 (-5 *3 (-641 (-564))) (-5 *2 (-685 (-564))) (-5 *1 (-1024 *4)) + (-4 *4 (-1045)))) + ((*1 *2 *3 *4) + (-12 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(-1129)) (-5 *1 (-156)))) ((*1 *2 *1) (-12 (-5 *1 (-294 *2)) (-4 *2 (-1209)))) @@ -11411,20 +11185,38 @@ (-12 (-4 *3 (-1094)) (-4 *2 (-13 (-430 *4) (-882 *3) (-612 (-888 *3)))) (-5 *1 (-1070 *3 *4 *2)) - (-4 *4 (-13 (-1045) (-882 *3) (-846) (-612 (-888 *3)))))) + (-4 *4 (-13 (-1045) (-882 *3) (-612 (-888 *3)))))) ((*1 *2 *1) (-12 (-4 *2 (-1094)) (-5 *1 (-1159 *2 *3)) (-4 *3 (-1094))))) -(((*1 *1 *2) (-12 (-5 *1 (-227 *2)) (-4 *2 (-13 (-363) (-1194)))))) -(((*1 *1) (-5 *1 (-1057)))) -(((*1 *1 *1 *2 *3 *1) - (-12 (-4 *1 (-326 *2 *3)) (-4 *2 (-1045)) (-4 *3 (-788))))) +(((*1 *2 *3 *4 *4 *4 *3 *5 *3 *4 *6 *7) + (-12 (-5 *4 (-564)) (-5 *5 (-685 (-225))) + (-5 *6 (-3 (|:| |fn| (-388)) (|:| |fp| (-86 FCN)))) + (-5 *7 (-3 (|:| |fn| (-388)) (|:| |fp| (-88 OUTPUT)))) + (-5 *3 (-225)) (-5 *2 (-1031)) (-5 *1 (-745))))) +(((*1 *2 *3 *4 *4 *4 *5 *4 *6 *6 *3) + (-12 (-5 *4 (-685 (-225))) (-5 *5 (-685 (-564))) (-5 *6 (-225)) + (-5 *3 (-564)) (-5 *2 (-1031)) (-5 *1 (-747))))) +(((*1 *2 *2) + (-12 (-4 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(-151 *3)))) ((*1 *1 *2) (-12 - (-5 *2 (-641 (-2 (|:| -4165 (-767)) (|:| -2855 *4) (|:| |num| *4)))) + (-5 *2 (-641 (-2 (|:| -2997 (-767)) (|:| -2854 *4) (|:| |num| *4)))) (-4 *4 (-1235 *3)) (-4 *3 (-13 (-363) (-147))) (-5 *1 (-399 *3 *4)))) ((*1 *1 *2 *3 *4) (-12 (-5 *2 (-3 (|:| |fst| (-434)) (|:| -1835 "void"))) @@ -11951,8 +11656,8 @@ ((*1 *1 *2 *3) (-12 (-5 *1 (-709 *2 *3 *4)) (-4 *2 (-846)) (-4 *3 (-1094)) (-14 *4 - (-1 (-112) (-2 (|:| -2014 *2) (|:| -4165 *3)) - (-2 (|:| -2014 *2) (|:| -4165 *3)))))) + (-1 (-112) (-2 (|:| -2014 *2) (|:| -2997 *3)) + (-2 (|:| -2014 *2) (|:| -2997 *3)))))) ((*1 *1 *2 *3) (-12 (-5 *2 (-506)) (-5 *3 (-1112)) (-5 *1 (-834)))) ((*1 *1 *2 *3) (-12 (-5 *1 (-869 *2 *3)) (-4 *2 (-1209)) (-4 *3 (-1209)))) @@ -11964,11 +11669,11 @@ (-5 *2 (-641 (-1134 *3 *5))) (-5 *1 (-1134 *3 *5)) (-4 *3 (-13 (-1094) (-34))))) ((*1 *2 *3) - (-12 (-5 *3 (-641 (-2 (|:| |val| *4) (|:| -3418 *5)))) + (-12 (-5 *3 (-641 (-2 (|:| |val| *4) (|:| -3419 *5)))) (-4 *4 (-13 (-1094) 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-12116,7 +11840,7 @@ ((*1 *1 *2) (-12 (-5 *2 (-1244 *4 *5 *6)) (-4 *4 (-13 (-27) (-1194) (-430 *3))) (-14 *5 (-1170)) (-14 *6 *4) - (-4 *3 (-13 (-846) (-1034 (-564)) (-637 (-564)) (-452))) + (-4 *3 (-13 (-1034 (-564)) (-637 (-564)) (-452))) (-5 *1 (-313 *3 *4 *5 *6)))) ((*1 *2 *1) (-12 (-5 *2 (-316 *5)) (-5 *1 (-339 *3 *4 *5)) @@ -12136,21 +11860,21 @@ ((*1 *1 *2) (-12 (-4 *1 (-374 *2 *3)) (-4 *2 (-846)) (-4 *3 (-172)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1174)) (|:| -3027 (-641 (-330))))) + (-5 *2 (-2 (|:| |localSymbols| (-1174)) (|:| -3020 (-641 (-330))))) (-4 *1 (-383)))) ((*1 *1 *2) (-12 (-5 *2 (-330)) (-4 *1 (-383)))) ((*1 *1 *2) (-12 (-5 *2 (-641 (-330))) (-4 *1 (-383)))) ((*1 *1 *2) (-12 (-5 *2 (-685 (-695))) (-4 *1 (-383)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1174)) (|:| -3027 (-641 (-330))))) + (-5 *2 (-2 (|:| |localSymbols| (-1174)) (|:| -3020 (-641 (-330))))) (-4 *1 (-384)))) ((*1 *1 *2) (-12 (-5 *2 (-330)) (-4 *1 (-384)))) ((*1 *1 *2) (-12 (-5 *2 (-641 (-330))) (-4 *1 (-384)))) ((*1 *2 *3) (-12 (-5 *2 (-394)) (-5 *1 (-393 *3)) (-4 *3 (-1094)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1174)) (|:| -3027 (-641 (-330))))) + (-5 *2 (-2 (|:| |localSymbols| (-1174)) (|:| -3020 (-641 (-330))))) (-4 *1 (-396)))) ((*1 *1 *2) (-12 (-5 *2 (-330)) (-4 *1 (-396)))) ((*1 *1 *2) (-12 (-5 *2 (-641 (-330))) (-4 *1 (-396)))) @@ -12204,7 +11928,7 @@ (-14 *5 (-641 (-1170))) (-14 *6 (-1174)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1174)) (|:| -3027 (-641 (-330))))) + (-5 *2 (-2 (|:| |localSymbols| (-1174)) (|:| -3020 (-641 (-330))))) (-5 *1 (-398 *3 *4 *5 *6)) (-14 *3 (-1170)) (-14 *4 (-3 (|:| |fst| (-434)) (|:| -1835 "void"))) (-14 *5 (-641 (-1170))) (-14 *6 (-1174)))) @@ -12223,16 +11947,16 @@ (-12 (-5 *1 (-427 *2 *3)) (-4 *2 (-13 (-172) (-38 (-407 (-564))))) (-4 *3 (-13 (-846) (-21))))) ((*1 *1 *2) - (-12 (-5 *2 (-407 (-948 (-407 *3)))) (-4 *3 (-556)) (-4 *3 (-846)) + (-12 (-5 *2 (-407 (-948 (-407 *3)))) (-4 *3 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(|:| |fn| (-316 (-225))) - (|:| -3374 (-1088 (-839 (-225)))) (|:| |abserr| (-225)) + (|:| -3230 (-1088 (-839 (-225)))) (|:| |abserr| (-225)) (|:| |relerr| (-225)))) (-5 *1 (-765)))) ((*1 *2 *3) (-12 (-5 *2 (-770)) (-5 *1 (-769 *3)) (-4 *3 (-1209)))) @@ -12415,7 +12139,7 @@ ((*1 *2 *1) (-12 (-5 *2 (-407 *3)) (-5 *1 (-910 *3)) (-4 *3 (-307)))) ((*1 *2 *3) (-12 (-5 *3 (-477)) (-5 *2 (-316 *4)) (-5 *1 (-915 *4)) - (-4 *4 (-13 (-846) (-556))))) + (-4 *4 (-556)))) ((*1 *2 *3) (-12 (-5 *2 (-1264)) (-5 *1 (-1029 *3)) (-4 *3 (-1209)))) ((*1 *2 *3) (-12 (-5 *3 (-312)) (-5 *1 (-1029 *2)) (-4 *2 (-1209)))) ((*1 *1 *2) @@ -12479,89 +12203,60 @@ ((*1 *1 *2) (-12 (-5 *2 (-660 *3 *4)) (-4 *3 (-846)) (-4 *4 (-172)) (-5 *1 (-1279 *3 *4))))) -(((*1 *2 *3) - (-12 (-5 *3 (-641 *7)) (-4 *7 (-945 *4 *5 *6)) (-4 *4 (-452)) - (-4 *5 (-789)) (-4 *6 (-846)) (-5 *2 (-1264)) - (-5 *1 (-449 *4 *5 *6 *7))))) +(((*1 *2 *2 *3) + (-12 (-5 *3 (-610 *2)) (-4 *2 (-13 (-27) (-1194) (-430 *4))) + (-4 *4 (-13 (-556) (-1034 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(-12 (-4 *1 (-970)) (-5 *2 (-641 (-641 (-939 (-225)))))))) (((*1 *2 *1 *3) - (-12 (-4 *1 (-554 *3)) (-4 *3 (-13 (-404) (-1194))) (-5 *2 (-112))))) -(((*1 *2 *1) - (-12 - (-5 *2 - (-641 - (-2 - (|:| -3026 - (-2 (|:| |var| (-1170)) (|:| |fn| (-316 (-225))) - (|:| -3374 (-1088 (-839 (-225)))) (|:| |abserr| (-225)) - (|:| |relerr| (-225)))) - (|:| -3683 - (-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| (-1150 (-225))) - (|:| |notEvaluated| - "Internal singularities not yet evaluated"))) - (|:| -3374 - (-3 (|:| |finite| "The range is finite") - (|:| |lowerInfinite| - "The bottom of range is infinite") - (|:| |upperInfinite| 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"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| (-1150 (-225))) + (|:| |notEvaluated| + "Internal singularities not yet evaluated"))) + (|:| -3230 + (-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 (-559))))) (((*1 *2 *2) - (-12 (-4 *3 (-13 (-846) (-452))) (-5 *1 (-1200 *3 *2)) - (-4 *2 (-13 (-430 *3) (-1194)))))) + (-12 (-5 *2 (-1259 *1)) (-4 *1 (-342 *3 *4 *5)) (-4 *3 (-1213)) + (-4 *4 (-1235 *3)) (-4 *5 (-1235 (-407 *4)))))) +(((*1 *2 *3 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(-1194))))) + ((*1 *1 *2 *2) (-12 (-4 *1 (-554 *2)) (-4 *2 (-13 (-404) (-1194)))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-917)) (-5 *4 (-418 *6)) (-4 *6 (-1235 *5)) + (-4 *5 (-1045)) (-5 *2 (-641 *6)) (-5 *1 (-444 *5 *6))))) (((*1 *1 *1) (-4 *1 (-35))) ((*1 *2 *2) - (-12 (-4 *3 (-13 (-846) (-556))) (-5 *1 (-276 *3 *2)) + (-12 (-4 *3 (-556)) (-5 *1 (-276 *3 *2)) (-4 *2 (-13 (-430 *3) (-998))))) ((*1 *2 *2) (-12 (-4 *3 (-38 (-407 (-564)))) (-4 *4 (-1250 *3)) @@ -16782,52 +16856,44 @@ ((*1 *2 *2) (-12 (-5 *2 (-1150 *3)) (-4 *3 (-38 (-407 (-564)))) (-5 *1 (-1156 *3))))) -(((*1 *2 *2 *3) - (-12 (-5 *2 (-1 (-939 (-225)) (-225) (-225))) - (-5 *3 (-1 (-225) (-225) (-225) (-225))) (-5 *1 (-255))))) -(((*1 *2 *2) - (-12 (-4 *3 (-556)) (-4 *4 (-988 *3)) (-5 *1 (-142 *3 *4 *2)) - (-4 *2 (-373 *4)))) - ((*1 *2 *3) - (-12 (-4 *4 (-556)) (-4 *5 (-988 *4)) (-4 *2 (-373 *4)) - (-5 *1 (-503 *4 *5 *2 *3)) (-4 *3 (-373 *5)))) - ((*1 *2 *3) - (-12 (-5 *3 (-685 *5)) (-4 *5 (-988 *4)) (-4 *4 (-556)) - (-5 *2 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