diff options
Diffstat (limited to 'src/share/algebra')
| -rw-r--r-- | src/share/algebra/browse.daase | 296 | ||||
| -rw-r--r-- | src/share/algebra/category.daase | 8 | ||||
| -rw-r--r-- | src/share/algebra/compress.daase | 1326 | ||||
| -rw-r--r-- | src/share/algebra/interp.daase | 7450 | ||||
| -rw-r--r-- | src/share/algebra/operation.daase | 25515 |
5 files changed, 17298 insertions, 17297 deletions
diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase index bb6faffd..f274ebea 100644 --- a/src/share/algebra/browse.daase +++ b/src/share/algebra/browse.daase @@ -1,5 +1,5 @@ -(2292778 . 3486628450) +(2293192 . 3486658188) (-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 -1967) +(-32 R -1966) ((|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 -1057) (QUOTE (-576))))) @@ -88,11 +88,11 @@ NIL ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in \\spadtype{AlgebraicNumber}.")) (|doublyTransitive?| (((|Boolean|) |#1|) "\\spad{doublyTransitive?(p)} is \\spad{true} if \\spad{p} is irreducible over over the field \\spad{K} generated by its coefficients,{} and if \\spad{p(X) / (X - a)} is irreducible over \\spad{K(a)} where \\spad{p(a) = 0}.")) (|split| (((|Factored| |#1|) |#1|) "\\spad{split(p)} returns a prime factorisation of \\spad{p} over its splitting field.")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p} over the field generated by its coefficients.") (((|Factored| |#1|) |#1| (|List| (|AlgebraicNumber|))) "\\spad{factor(p, [a1,...,an])} returns a prime factorisation of \\spad{p} over the field generated by its coefficients and a1,{}...,{}an."))) NIL NIL -(-40 -1967 UP UPUP -2583) +(-40 -1966 UP UPUP -3290) ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}"))) ((-4455 |has| (-419 |#2|) (-374)) (-4460 |has| (-419 |#2|) (-374)) (-4454 |has| (-419 |#2|) (-374)) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) ((|HasCategory| (-419 |#2|) (QUOTE (-146))) (|HasCategory| (-419 |#2|) (QUOTE (-148))) (|HasCategory| (-419 |#2|) (QUOTE (-360))) (-2781 (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-379))) (-2781 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2781 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2781 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-360))))) (-2781 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -651) (QUOTE (-576)))) (-2781 (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) -(-41 R -1967) +(-41 R -1966) ((|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| $)) $) "\\spad{numer(x)} \\undocumented"))) NIL ((-12 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -442) (|devaluate| |#1|))))) @@ -144,7 +144,7 @@ NIL ((|constructor| (NIL "\\spad{ApplyUnivariateSkewPolynomial} (internal) allows univariate skew polynomials to be applied to appropriate modules.")) (|apply| ((|#2| |#3| (|Mapping| |#2| |#2|) |#2|) "\\spad{apply(p, f, m)} returns \\spad{p(m)} where the action is given by \\spad{x m = f(m)}. \\spad{f} must be an \\spad{R}-pseudo linear map on \\spad{M}."))) NIL NIL -(-54 |Base| R -1967) +(-54 |Base| R -1966) ((|constructor| (NIL "This package apply rewrite rules to expressions,{} calling the pattern matcher.")) (|localUnquote| ((|#3| |#3| (|List| (|Symbol|))) "\\spad{localUnquote(f,ls)} is a local function.")) (|applyRules| ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3| (|PositiveInteger|)) "\\spad{applyRules([r1,...,rn], expr, n)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} a most \\spad{n} times.") ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3|) "\\spad{applyRules([r1,...,rn], expr)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} an unlimited number of times,{} \\spadignore{i.e.} until none of \\spad{r1},{}...,{}\\spad{rn} is applicable to the expression."))) NIL NIL @@ -392,7 +392,7 @@ NIL ((|constructor| (NIL "A basic operator is an object that can be applied to a list of arguments from a set,{} the result being a kernel over that set.")) (|setProperties| (($ $ (|AssociationList| (|String|) (|None|))) "\\spad{setProperties(op, l)} sets the property list of \\spad{op} to \\spad{l}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|setProperty| (($ $ (|Identifier|) (|None|)) "\\spad{setProperty(op, p, v)} attaches property \\spad{p} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|) (|None|)) "\\spad{setProperty(op, s, v)} attaches property \\spad{s} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|property| (((|Maybe| (|None|)) $ (|Identifier|)) "\\spad{property(op, p)} returns the value of property \\spad{p} if it is attached to \\spad{op},{} otherwise \\spad{nothing}.") (((|Union| (|None|) "failed") $ (|String|)) "\\spad{property(op, s)} returns the value of property \\spad{s} if it is attached to \\spad{op},{} and \"failed\" otherwise.")) (|deleteProperty!| (($ $ (|Identifier|)) "\\spad{deleteProperty!(op, p)} unattaches property \\spad{p} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|)) "\\spad{deleteProperty!(op, s)} unattaches property \\spad{s} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|assert| (($ $ (|Identifier|)) "\\spad{assert(op, p)} attaches property \\spad{p} to \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|has?| (((|Boolean|) $ (|Identifier|)) "\\spad{has?(op,p)} tests if property \\spad{s} is attached to \\spad{op}.")) (|input| (((|Union| (|Mapping| (|InputForm|) (|List| (|InputForm|))) "failed") $) "\\spad{input(op)} returns the \"\\%input\" property of \\spad{op} if it has one attached,{} \"failed\" otherwise.") (($ $ (|Mapping| (|InputForm|) (|List| (|InputForm|)))) "\\spad{input(op, foo)} attaches foo as the \"\\%input\" property of \\spad{op}. If \\spad{op} has a \"\\%input\" property \\spad{f},{} then \\spad{op(a1,...,an)} gets converted to InputForm as \\spad{f(a1,...,an)}.")) (|display| (($ $ (|Mapping| (|OutputForm|) (|OutputForm|))) "\\spad{display(op, foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a)} gets converted to OutputForm as \\spad{f(a)}. Argument \\spad{op} must be unary.") (($ $ (|Mapping| (|OutputForm|) (|List| (|OutputForm|)))) "\\spad{display(op, foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a1,...,an)} gets converted to OutputForm as \\spad{f(a1,...,an)}.") (((|Union| (|Mapping| (|OutputForm|) (|List| (|OutputForm|))) "failed") $) "\\spad{display(op)} returns the \"\\%display\" property of \\spad{op} if it has one attached,{} and \"failed\" otherwise.")) (|comparison| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{comparison(op, foo?)} attaches foo? as the \"\\%less?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has a \"\\%less?\" property \\spad{f},{} then \\spad{f(op1, op2)} is called to decide whether \\spad{op1 < op2}.")) (|equality| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{equality(op, foo?)} attaches foo? as the \"\\%equal?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has an \"\\%equal?\" property \\spad{f},{} then \\spad{f(op1, op2)} is called to decide whether op1 and op2 should be considered equal.")) (|weight| (($ $ (|NonNegativeInteger|)) "\\spad{weight(op, n)} attaches the weight \\spad{n} to \\spad{op}.") (((|NonNegativeInteger|) $) "\\spad{weight(op)} returns the weight attached to \\spad{op}.")) (|nary?| (((|Boolean|) $) "\\spad{nary?(op)} tests if \\spad{op} has arbitrary arity.")) (|unary?| (((|Boolean|) $) "\\spad{unary?(op)} tests if \\spad{op} is unary.")) (|nullary?| (((|Boolean|) $) "\\spad{nullary?(op)} tests if \\spad{op} is nullary.")) (|operator| (($ (|Symbol|) (|Arity|)) "\\spad{operator(f, a)} makes \\spad{f} into an operator of arity \\spad{a}.") (($ (|Symbol|) (|NonNegativeInteger|)) "\\spad{operator(f, n)} makes \\spad{f} into an \\spad{n}-ary operator.") (($ (|Symbol|)) "\\spad{operator(f)} makes \\spad{f} into an operator with arbitrary arity.")) (|copy| (($ $) "\\spad{copy(op)} returns a copy of \\spad{op}.")) (|properties| (((|AssociationList| (|String|) (|None|)) $) "\\spad{properties(op)} returns the list of all the properties currently attached to \\spad{op}."))) NIL NIL -(-116 -1967 UP) +(-116 -1966 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 @@ -524,7 +524,7 @@ NIL ((|constructor| (NIL "Rings of Characteristic Zero."))) ((-4459 . T)) NIL -(-149 -1967 UP UPUP) +(-149 -1966 UP UPUP) ((|constructor| (NIL "Tools to send a point to infinity on an algebraic curve.")) (|chvar| (((|Record| (|:| |func| |#3|) (|:| |poly| |#3|) (|:| |c1| (|Fraction| |#2|)) (|:| |c2| (|Fraction| |#2|)) (|:| |deg| (|NonNegativeInteger|))) |#3| |#3|) "\\spad{chvar(f(x,y), p(x,y))} returns \\spad{[g(z,t), q(z,t), c1(z), c2(z), n]} such that under the change of variable \\spad{x = c1(z)},{} \\spad{y = t * c2(z)},{} one gets \\spad{f(x,y) = g(z,t)}. The algebraic relation between \\spad{x} and \\spad{y} is \\spad{p(x, y) = 0}. The algebraic relation between \\spad{z} and \\spad{t} is \\spad{q(z, t) = 0}.")) (|eval| ((|#3| |#3| (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{eval(p(x,y), f(x), g(x))} returns \\spad{p(f(x), y * g(x))}.")) (|goodPoint| ((|#1| |#3| |#3|) "\\spad{goodPoint(p, q)} returns an integer a such that a is neither a pole of \\spad{p(x,y)} nor a branch point of \\spad{q(x,y) = 0}.")) (|rootPoly| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| (|Fraction| |#2|)) (|:| |radicand| |#2|)) (|Fraction| |#2|) (|NonNegativeInteger|)) "\\spad{rootPoly(g, n)} returns \\spad{[m, c, P]} such that \\spad{c * g ** (1/n) = P ** (1/m)} thus if \\spad{y**n = g},{} then \\spad{z**m = P} where \\spad{z = c * y}.")) (|radPoly| (((|Union| (|Record| (|:| |radicand| (|Fraction| |#2|)) (|:| |deg| (|NonNegativeInteger|))) "failed") |#3|) "\\spad{radPoly(p(x, y))} returns \\spad{[c(x), n]} if \\spad{p} is of the form \\spad{y**n - c(x)},{} \"failed\" otherwise.")) (|mkIntegral| (((|Record| (|:| |coef| (|Fraction| |#2|)) (|:| |poly| |#3|)) |#3|) "\\spad{mkIntegral(p(x,y))} returns \\spad{[c(x), q(x,z)]} such that \\spad{z = c * y} is integral. The algebraic relation between \\spad{x} and \\spad{y} is \\spad{p(x, y) = 0}. The algebraic relation between \\spad{x} and \\spad{z} is \\spad{q(x, z) = 0}."))) NIL NIL @@ -564,7 +564,7 @@ NIL ((|constructor| (NIL "Color() specifies a domain of 27 colors provided in the \\Language{} system (the colors mix additively).")) (|color| (($ (|Integer|)) "\\spad{color(i)} returns a color of the indicated hue \\spad{i}.")) (|numberOfHues| (((|PositiveInteger|)) "\\spad{numberOfHues()} returns the number of total hues,{} set in totalHues.")) (|hue| (((|Integer|) $) "\\spad{hue(c)} returns the hue index of the indicated color \\spad{c}.")) (|blue| (($) "\\spad{blue()} returns the position of the blue hue from total hues.")) (|green| (($) "\\spad{green()} returns the position of the green hue from total hues.")) (|yellow| (($) "\\spad{yellow()} returns the position of the yellow hue from total hues.")) (|red| (($) "\\spad{red()} returns the position of the red hue from total hues.")) (+ (($ $ $) "\\spad{c1 + c2} additively mixes the two colors \\spad{c1} and \\spad{c2}.")) (* (($ (|DoubleFloat|) $) "\\spad{s * c},{} returns the color \\spad{c},{} whose weighted shade has been scaled by \\spad{s}.") (($ (|PositiveInteger|) $) "\\spad{s * c},{} returns the color \\spad{c},{} whose weighted shade has been scaled by \\spad{s}."))) NIL NIL -(-159 R -1967) +(-159 R -1966) ((|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 @@ -688,7 +688,7 @@ NIL ((|constructor| (NIL "This domain provides implementations for constructors.")) (|findConstructor| (((|Maybe| $) (|Identifier|)) "\\spad{findConstructor(s)} attempts to find a constructor named \\spad{s}. If successful,{} returns that constructor; otherwise,{} returns \\spad{nothing}."))) NIL NIL -(-190 R -1967) +(-190 R -1966) ((|constructor| (NIL "\\spadtype{ComplexTrigonometricManipulations} provides function that compute the real and imaginary parts of complex functions.")) (|complexForm| (((|Complex| (|Expression| |#1|)) |#2|) "\\spad{complexForm(f)} returns \\spad{[real f, imag f]}.")) (|trigs| ((|#2| |#2|) "\\spad{trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (|real?| (((|Boolean|) |#2|) "\\spad{real?(f)} returns \\spad{true} if \\spad{f = real f}.")) (|imag| (((|Expression| |#1|) |#2|) "\\spad{imag(f)} returns the imaginary part of \\spad{f} where \\spad{f} is a complex function.")) (|real| (((|Expression| |#1|) |#2|) "\\spad{real(f)} returns the real part of \\spad{f} where \\spad{f} is a complex function.")) (|complexElementary| ((|#2| |#2| (|Symbol|)) "\\spad{complexElementary(f, x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.") ((|#2| |#2|) "\\spad{complexElementary(f)} rewrites \\spad{f} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.")) (|complexNormalize| ((|#2| |#2| (|Symbol|)) "\\spad{complexNormalize(f, x)} rewrites \\spad{f} using the least possible number of complex independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{complexNormalize(f)} rewrites \\spad{f} using the least possible number of complex independent kernels."))) NIL NIL @@ -796,11 +796,11 @@ NIL ((|constructor| (NIL "\\indented{1}{This domain implements a simple view of a database whose fields are} indexed by symbols")) (- (($ $ $) "\\spad{db1-db2} returns the difference of databases \\spad{db1} and \\spad{db2} \\spadignore{i.e.} consisting of elements in \\spad{db1} but not in \\spad{db2}")) (+ (($ $ $) "\\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 -(-217 -1967 UP UPUP R) +(-217 -1966 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 -(-218 -1967 FP) +(-218 -1966 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 @@ -812,7 +812,7 @@ 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 -(-221 R -1967) +(-221 R -1966) ((|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 @@ -832,7 +832,7 @@ 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}."))) ((-4459 . T)) NIL -(-226 R -1967) +(-226 R -1966) ((|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 @@ -958,11 +958,11 @@ NIL NIL (-257 |n| R M S) ((|constructor| (NIL "This constructor provides a direct product type with a left matrix-module view."))) -((-4459 -2781 (-2696 (|has| |#4| (-1068)) (|has| |#4| (-238))) (|has| |#4| (-6 -4459)) (-2696 (|has| |#4| (-1068)) (|has| |#4| (-915 (-1195))))) (-4456 |has| |#4| (-1068)) (-4457 |has| |#4| (-1068)) (-4462 . T)) +((-4459 -2781 (-2697 (|has| |#4| (-1068)) (|has| |#4| (-238))) (|has| |#4| (-6 -4459)) (-2697 (|has| |#4| (-1068)) (|has| |#4| (-915 (-1195))))) (-4456 |has| |#4| (-1068)) (-4457 |has| |#4| (-1068)) (-4462 . 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T)) +((-4459 -2781 (-2697 (|has| |#3| (-1068)) (|has| |#3| (-238))) (|has| |#3| (-6 -4459)) (-2697 (|has| |#3| (-1068)) (|has| |#3| (-915 (-1195))))) (-4456 |has| |#3| (-1068)) (-4457 |has| |#3| (-1068)) (-4462 . T)) ((-2781 (-12 (|HasCategory| |#3| (QUOTE (-21))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-238))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-374))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-379))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-738))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-805))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-862))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-1068))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-1119))) (|HasCategory| |#3| (LIST 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(LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#3| (QUOTE (-1119)))) (-2781 (|HasAttribute| |#3| (QUOTE -4459)) (-12 (|HasCategory| |#3| (QUOTE (-238))) (|HasCategory| |#3| (QUOTE (-1068)))) (-12 (|HasCategory| |#3| (QUOTE (-1068))) (|HasCategory| |#3| (LIST (QUOTE -915) (QUOTE (-1195)))))) (-12 (|HasCategory| |#3| (QUOTE (-237))) (|HasCategory| |#3| (QUOTE (-1068)))) (-12 (|HasCategory| |#3| (QUOTE (-1068))) (|HasCategory| |#3| (LIST (QUOTE -917) (QUOTE (-1195))))) (|HasCategory| |#3| (QUOTE (-862))) (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-21))) (|HasCategory| |#3| (QUOTE (-23))) (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#3| (QUOTE (-102))) (-12 (|HasCategory| |#3| (QUOTE (-1119))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|))))) (-259 A R S V E) ((|constructor| (NIL "\\spadtype{DifferentialPolynomialCategory} is a category constructor specifying basic functions in an ordinary differential polynomial ring with a given ordered set of differential indeterminates. In addition,{} it implements defaults for the basic functions. The functions \\spadfun{order} and \\spadfun{weight} are extended from the set of derivatives of differential indeterminates to the set of differential polynomials. Other operations provided on differential polynomials are \\spadfun{leader},{} \\spadfun{initial},{} \\spadfun{separant},{} \\spadfun{differentialVariables},{} and \\spadfun{isobaric?}. Furthermore,{} if the ground ring is a differential ring,{} then evaluation (substitution of differential indeterminates by elements of the ground ring or by differential polynomials) is provided by \\spadfun{eval}. A convenient way of referencing derivatives is provided by the functions \\spadfun{makeVariable}. \\blankline To construct a domain using this constructor,{} one needs to provide a ground ring \\spad{R},{} an ordered set \\spad{S} of differential indeterminates,{} a ranking \\spad{V} on the set of derivatives of the differential indeterminates,{} and a set \\spad{E} of exponents in bijection with the set of differential monomials in the given differential indeterminates. \\blankline")) (|separant| (($ $) "\\spad{separant(p)} returns the partial derivative of the differential polynomial \\spad{p} with respect to its leader.")) (|initial| (($ $) "\\spad{initial(p)} returns the leading coefficient when the differential polynomial \\spad{p} is written as a univariate polynomial in its leader.")) (|leader| ((|#4| $) "\\spad{leader(p)} returns the derivative of the highest rank appearing in the differential polynomial \\spad{p} Note: an error occurs if \\spad{p} is in the ground ring.")) (|isobaric?| (((|Boolean|) $) "\\spad{isobaric?(p)} returns \\spad{true} if every differential monomial appearing in the differential polynomial \\spad{p} has same weight,{} and returns \\spad{false} otherwise.")) (|weight| (((|NonNegativeInteger|) $ |#3|) "\\spad{weight(p, s)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|NonNegativeInteger|) $) "\\spad{weight(p)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p}.")) (|weights| (((|List| (|NonNegativeInteger|)) $ |#3|) "\\spad{weights(p, s)} returns a list of weights of differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|List| (|NonNegativeInteger|)) $) "\\spad{weights(p)} returns a list of weights of differential monomials appearing in differential polynomial \\spad{p}.")) (|degree| (((|NonNegativeInteger|) $ |#3|) "\\spad{degree(p, s)} returns the maximum degree of the differential polynomial \\spad{p} viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(p)} returns the order of the differential polynomial \\spad{p},{} which is the maximum number of differentiations of a differential indeterminate,{} among all those appearing in \\spad{p}.") (((|NonNegativeInteger|) $ |#3|) "\\spad{order(p,s)} returns the order of the differential polynomial \\spad{p} in differential indeterminate \\spad{s}.")) (|differentialVariables| (((|List| |#3|) $) "\\spad{differentialVariables(p)} returns a list of differential indeterminates occurring in a differential polynomial \\spad{p}.")) (|makeVariable| (((|Mapping| $ (|NonNegativeInteger|)) $) "\\spad{makeVariable(p)} views \\spad{p} as an element of a differential ring,{} in such a way that the \\spad{n}-th derivative of \\spad{p} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} \\spad{:=} makeVariable(\\spad{p}). Note: In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored.") (((|Mapping| $ (|NonNegativeInteger|)) |#3|) "\\spad{makeVariable(s)} views \\spad{s} as a differential indeterminate,{} in such a way that the \\spad{n}-th derivative of \\spad{s} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} :=makeVariable(\\spad{s}). Note: In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored."))) @@ -1068,11 +1068,11 @@ 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 -(-285 R -1967) +(-285 R -1966) ((|constructor| (NIL "Provides elementary functions over an integral domain.")) (|localReal?| (((|Boolean|) |#2|) "\\spad{localReal?(x)} should be local but conditional")) (|specialTrigs| (((|Union| |#2| "failed") |#2| (|List| (|Record| (|:| |func| |#2|) (|:| |pole| (|Boolean|))))) "\\spad{specialTrigs(x,l)} should be local but conditional")) (|iiacsch| ((|#2| |#2|) "\\spad{iiacsch(x)} should be local but conditional")) (|iiasech| ((|#2| |#2|) "\\spad{iiasech(x)} should be local but conditional")) (|iiacoth| ((|#2| |#2|) "\\spad{iiacoth(x)} should be local but conditional")) (|iiatanh| ((|#2| |#2|) "\\spad{iiatanh(x)} should be local but conditional")) (|iiacosh| ((|#2| |#2|) "\\spad{iiacosh(x)} should be local but conditional")) (|iiasinh| ((|#2| |#2|) "\\spad{iiasinh(x)} should be local but conditional")) (|iicsch| ((|#2| |#2|) "\\spad{iicsch(x)} should be local but conditional")) (|iisech| ((|#2| |#2|) "\\spad{iisech(x)} should be local but conditional")) (|iicoth| ((|#2| |#2|) "\\spad{iicoth(x)} should be local but conditional")) (|iitanh| ((|#2| |#2|) "\\spad{iitanh(x)} should be local but conditional")) (|iicosh| ((|#2| |#2|) "\\spad{iicosh(x)} should be local but conditional")) (|iisinh| ((|#2| |#2|) "\\spad{iisinh(x)} should be local but conditional")) (|iiacsc| ((|#2| |#2|) "\\spad{iiacsc(x)} should be local but conditional")) (|iiasec| ((|#2| |#2|) "\\spad{iiasec(x)} should be local but conditional")) (|iiacot| ((|#2| |#2|) "\\spad{iiacot(x)} should be local but conditional")) (|iiatan| ((|#2| |#2|) "\\spad{iiatan(x)} should be local but conditional")) (|iiacos| ((|#2| |#2|) "\\spad{iiacos(x)} should be local but conditional")) (|iiasin| ((|#2| |#2|) "\\spad{iiasin(x)} should be local but conditional")) (|iicsc| ((|#2| |#2|) "\\spad{iicsc(x)} should be local but conditional")) (|iisec| ((|#2| |#2|) "\\spad{iisec(x)} should be local but conditional")) (|iicot| ((|#2| |#2|) "\\spad{iicot(x)} should be local but conditional")) (|iitan| ((|#2| |#2|) "\\spad{iitan(x)} should be local but conditional")) (|iicos| ((|#2| |#2|) "\\spad{iicos(x)} should be local but conditional")) (|iisin| ((|#2| |#2|) "\\spad{iisin(x)} should be local but conditional")) (|iilog| ((|#2| |#2|) "\\spad{iilog(x)} should be local but conditional")) (|iiexp| ((|#2| |#2|) "\\spad{iiexp(x)} should be local but conditional")) (|iisqrt3| ((|#2|) "\\spad{iisqrt3()} should be local but conditional")) (|iisqrt2| ((|#2|) "\\spad{iisqrt2()} should be local but conditional")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(p)} returns an elementary operator with the same symbol as \\spad{p}")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(p)} returns \\spad{true} if operator \\spad{p} is elementary")) (|pi| ((|#2|) "\\spad{pi()} returns the \\spad{pi} operator")) (|acsch| ((|#2| |#2|) "\\spad{acsch(x)} applies the inverse hyperbolic cosecant operator to \\spad{x}")) (|asech| ((|#2| |#2|) "\\spad{asech(x)} applies the inverse hyperbolic secant operator to \\spad{x}")) (|acoth| ((|#2| |#2|) "\\spad{acoth(x)} applies the inverse hyperbolic cotangent operator to \\spad{x}")) (|atanh| ((|#2| |#2|) "\\spad{atanh(x)} applies the inverse hyperbolic tangent operator to \\spad{x}")) (|acosh| ((|#2| |#2|) "\\spad{acosh(x)} applies the inverse hyperbolic cosine operator to \\spad{x}")) (|asinh| ((|#2| |#2|) "\\spad{asinh(x)} applies the inverse hyperbolic sine operator to \\spad{x}")) (|csch| ((|#2| |#2|) "\\spad{csch(x)} applies the hyperbolic cosecant operator to \\spad{x}")) (|sech| ((|#2| |#2|) "\\spad{sech(x)} applies the hyperbolic secant operator to \\spad{x}")) (|coth| ((|#2| |#2|) "\\spad{coth(x)} applies the hyperbolic cotangent operator to \\spad{x}")) (|tanh| ((|#2| |#2|) "\\spad{tanh(x)} applies the hyperbolic tangent operator to \\spad{x}")) (|cosh| ((|#2| |#2|) "\\spad{cosh(x)} applies the hyperbolic cosine operator to \\spad{x}")) (|sinh| ((|#2| |#2|) "\\spad{sinh(x)} applies the hyperbolic sine operator to \\spad{x}")) (|acsc| ((|#2| |#2|) "\\spad{acsc(x)} applies the inverse cosecant operator to \\spad{x}")) (|asec| ((|#2| |#2|) "\\spad{asec(x)} applies the inverse secant operator to \\spad{x}")) (|acot| ((|#2| |#2|) "\\spad{acot(x)} applies the inverse cotangent operator to \\spad{x}")) (|atan| ((|#2| |#2|) "\\spad{atan(x)} applies the inverse tangent operator to \\spad{x}")) (|acos| ((|#2| |#2|) "\\spad{acos(x)} applies the inverse cosine operator to \\spad{x}")) (|asin| ((|#2| |#2|) "\\spad{asin(x)} applies the inverse sine operator to \\spad{x}")) (|csc| ((|#2| |#2|) "\\spad{csc(x)} applies the cosecant operator to \\spad{x}")) (|sec| ((|#2| |#2|) "\\spad{sec(x)} applies the secant operator to \\spad{x}")) (|cot| ((|#2| |#2|) "\\spad{cot(x)} applies the cotangent operator to \\spad{x}")) (|tan| ((|#2| |#2|) "\\spad{tan(x)} applies the tangent operator to \\spad{x}")) (|cos| ((|#2| |#2|) "\\spad{cos(x)} applies the cosine operator to \\spad{x}")) (|sin| ((|#2| |#2|) "\\spad{sin(x)} applies the sine operator to \\spad{x}")) (|log| ((|#2| |#2|) "\\spad{log(x)} applies the logarithm operator to \\spad{x}")) (|exp| ((|#2| |#2|) "\\spad{exp(x)} applies the exponential operator to \\spad{x}"))) NIL NIL -(-286 R -1967) +(-286 R -1966) ((|constructor| (NIL "ElementaryFunctionStructurePackage provides functions to test the algebraic independence of various elementary functions,{} using the Risch structure theorem (real and complex versions). It also provides transformations on elementary functions which are not considered simplifications.")) (|tanQ| ((|#2| (|Fraction| (|Integer|)) |#2|) "\\spad{tanQ(q,a)} is a local function with a conditional implementation.")) (|rootNormalize| ((|#2| |#2| (|Kernel| |#2|)) "\\spad{rootNormalize(f, k)} returns \\spad{f} rewriting either \\spad{k} which must be an \\spad{n}th-root in terms of radicals already in \\spad{f},{} or some radicals in \\spad{f} in terms of \\spad{k}.")) (|validExponential| (((|Union| |#2| "failed") (|List| (|Kernel| |#2|)) |#2| (|Symbol|)) "\\spad{validExponential([k1,...,kn],f,x)} returns \\spad{g} if \\spad{exp(f)=g} and \\spad{g} involves only \\spad{k1...kn},{} and \"failed\" otherwise.")) (|realElementary| ((|#2| |#2| (|Symbol|)) "\\spad{realElementary(f,x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 4 fundamental real transcendental elementary functions: \\spad{log, exp, tan, atan}.") ((|#2| |#2|) "\\spad{realElementary(f)} rewrites \\spad{f} in terms of the 4 fundamental real transcendental elementary functions: \\spad{log, exp, tan, atan}.")) (|rischNormalize| (((|Record| (|:| |func| |#2|) (|:| |kers| (|List| (|Kernel| |#2|))) (|:| |vals| (|List| |#2|))) |#2| (|Symbol|)) "\\spad{rischNormalize(f, x)} returns \\spad{[g, [k1,...,kn], [h1,...,hn]]} such that \\spad{g = normalize(f, x)} and each \\spad{ki} was rewritten as \\spad{hi} during the normalization.")) (|normalize| ((|#2| |#2| (|Symbol|)) "\\spad{normalize(f, x)} rewrites \\spad{f} using the least possible number of real algebraically independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{normalize(f)} rewrites \\spad{f} using the least possible number of real algebraically independent kernels."))) NIL NIL @@ -1124,7 +1124,7 @@ 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 -(-299 S R |Mod| -2679 -4168 |exactQuo|) +(-299 S R |Mod| -3046 -1512 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{ModularRing},{} \\spadtype{ModularField}")) (|inv| (($ $) "\\spad{inv(x)} \\undocumented")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} \\undocumented")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,y)} \\undocumented")) (|reduce| (($ |#2| |#3|) "\\spad{reduce(r,m)} \\undocumented")) (|coerce| ((|#2| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#3| $) "\\spad{modulus(x)} \\undocumented"))) ((-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) NIL @@ -1156,11 +1156,11 @@ 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 -(-307 -1967 S) +(-307 -1966 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 -(-308 E -1967) +(-308 E -1966) ((|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 @@ -1208,7 +1208,7 @@ 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 -(-320 -1967) +(-320 -1966) ((|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 @@ -1236,7 +1236,7 @@ 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."))) ((-4459 -2781 (-12 (|has| |#1| (-568)) (-2781 (|has| |#1| (-1068)) (|has| |#1| (-485)))) (|has| |#1| (-1068)) (|has| |#1| (-485))) (-4457 |has| |#1| (-174)) (-4456 |has| |#1| (-174)) ((-4464 "*") |has| |#1| (-568)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-568)) (-4454 |has| |#1| (-568))) ((-2781 (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))))) (|HasCategory| |#1| (QUOTE (-568))) (-2781 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-1068)))) (|HasCategory| |#1| (QUOTE (-21))) (-2781 (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2781 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-1068)))) (|HasCategory| |#1| (QUOTE (-1068))) (-2781 (-12 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-1068))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))))) (-2781 (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#1| (QUOTE (-1131)))) (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2781 (|HasCategory| |#1| (QUOTE (-1068))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576))))) (-2781 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-1068)))) (-2781 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-1068)))) (-2781 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-1068)))) (-12 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568)))) (-2781 (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (QUOTE (-1068))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576))))) (-2781 (|HasCategory| |#1| (QUOTE (-21))) (-12 (|HasCategory| |#1| (QUOTE (-1068))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))))) (-2781 (|HasCategory| |#1| (QUOTE (-25))) (-12 (|HasCategory| |#1| (QUOTE (-1068))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-1131)))) (-2781 (|HasCategory| |#1| (QUOTE (-25))) (-12 (|HasCategory| |#1| (QUOTE (-1068))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))))) (-2781 (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#1| (QUOTE (-1068)))) (-2781 (-12 (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-1131))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| $ (QUOTE (-1068))) (|HasCategory| $ (LIST (QUOTE -1057) (QUOTE (-576))))) -(-327 R -1967) +(-327 R -1966) ((|constructor| (NIL "Taylor series solutions of explicit ODE\\spad{'s}.")) (|seriesSolve| (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve(eq, y, x = a, [b0,...,bn])} is equivalent to \\spad{seriesSolve(eq = 0, y, x = a, [b0,...,b(n-1)])}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|Equation| |#2|)) "\\spad{seriesSolve(eq, y, x = a, y a = b)} is equivalent to \\spad{seriesSolve(eq=0, y, x=a, y a = b)}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq, y, x = a, b)} is equivalent to \\spad{seriesSolve(eq = 0, y, x = a, y a = b)}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq,y, x=a, b)} is equivalent to \\spad{seriesSolve(eq, y, x=a, y a = b)}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "\\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x = a,[y1 a = b1,..., yn a = bn])} is equivalent to \\spad{seriesSolve([eq1=0,...,eqn=0], [y1,...,yn], x = a, [y1 a = b1,..., yn a = bn])}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x=a, [b1,...,bn])} is equivalent to \\spad{seriesSolve([eq1=0,...,eqn=0], [y1,...,yn], x=a, [b1,...,bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x=a, [b1,...,bn])} is equivalent to \\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x = a, [y1 a = b1,..., yn a = bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "\\spad{seriesSolve([eq1,...,eqn],[y1,...,yn],x = a,[y1 a = b1,...,yn a = bn])} returns a taylor series solution of \\spad{[eq1,...,eqn]} around \\spad{x = a} with initial conditions \\spad{yi(a) = bi}. Note: eqi must be of the form \\spad{fi(x, y1 x, y2 x,..., yn x) y1'(x) + gi(x, y1 x, y2 x,..., yn x) = h(x, y1 x, y2 x,..., yn x)}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve(eq,y,x=a,[b0,...,b(n-1)])} returns a Taylor series solution of \\spad{eq} around \\spad{x = a} with initial conditions \\spad{y(a) = b0},{} \\spad{y'(a) = b1},{} \\spad{y''(a) = b2},{} ...,{}\\spad{y(n-1)(a) = b(n-1)} \\spad{eq} must be of the form \\spad{f(x, y x, y'(x),..., y(n-1)(x)) y(n)(x) + g(x,y x,y'(x),...,y(n-1)(x)) = h(x,y x, y'(x),..., y(n-1)(x))}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|Equation| |#2|)) "\\spad{seriesSolve(eq,y,x=a, y a = b)} returns a Taylor series solution of \\spad{eq} around \\spad{x} = a with initial condition \\spad{y(a) = b}. Note: \\spad{eq} must be of the form \\spad{f(x, y x) y'(x) + g(x, y x) = h(x, y x)}."))) NIL NIL @@ -1247,7 +1247,7 @@ NIL (-329 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."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-374)) (-4454 |has| |#1| (-374)) (-4456 . T) (-4457 . T) (-4459 . 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(|log| (((|List| (|Record| (|:| |coef| (|NonNegativeInteger|)) (|:| |logand| |#1|))) (|Factored| |#1|)) "\\spad{log(f)} returns \\spad{[(a1,b1),...,(am,bm)]} such that the logarithm of \\spad{f} is equal to \\spad{a1*log(b1) + ... + am*log(bm)}.")) (|nthRoot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#1|) (|:| |radicand| (|List| |#1|))) (|Factored| |#1|) (|NonNegativeInteger|)) "\\spad{nthRoot(f, n)} returns \\spad{(p, r, [r1,...,rm])} such that the \\spad{n}th-root of \\spad{f} is equal to \\spad{r * \\spad{p}th-root(r1 * ... * rm)},{} where \\spad{r1},{}...,{}\\spad{rm} are distinct factors of \\spad{f},{} each of which has an exponent smaller than \\spad{p} in \\spad{f}."))) NIL @@ -1280,11 +1280,11 @@ 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."))) ((-4463 . T) (-4462 . T)) ((-2781 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2781 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2781 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (-2781 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) -(-338 S -1967) +(-338 S -1966) ((|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 (-379)))) -(-339 -1967) +(-339 -1966) ((|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."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) NIL @@ -1308,15 +1308,15 @@ 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 -(-345 S -1967 UP UPUP R) +(-345 S -1966 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 -(-346 -1967 UP UPUP R) +(-346 -1966 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 -(-347 -1967 UP UPUP R) +(-347 -1966 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 @@ -1336,11 +1336,11 @@ 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 -(-352 S -1967 UP UPUP) +(-352 S -1966 UP UPUP) ((|constructor| (NIL "This category is a model for the function field of a plane algebraic curve.")) (|rationalPoints| (((|List| (|List| |#2|))) "\\spad{rationalPoints()} returns the list of all the affine rational points.")) (|nonSingularModel| (((|List| (|Polynomial| |#2|)) (|Symbol|)) "\\spad{nonSingularModel(u)} returns the equations in u1,{}...,{}un of an affine non-singular model for the curve.")) (|algSplitSimple| (((|Record| (|:| |num| $) (|:| |den| |#3|) (|:| |derivden| |#3|) (|:| |gd| |#3|)) $ (|Mapping| |#3| |#3|)) "\\spad{algSplitSimple(f, D)} returns \\spad{[h,d,d',g]} such that \\spad{f=h/d},{} \\spad{h} is integral at all the normal places \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} \\spad{d' = Dd},{} \\spad{g = gcd(d, discriminant())} and \\spad{D} is the derivation to use. \\spad{f} must have at most simple finite poles.")) (|hyperelliptic| (((|Union| |#3| "failed")) "\\spad{hyperelliptic()} returns \\spad{p(x)} if the curve is the hyperelliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elliptic| (((|Union| |#3| "failed")) "\\spad{elliptic()} returns \\spad{p(x)} if the curve is the elliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elt| ((|#2| $ |#2| |#2|) "\\spad{elt(f,a,b)} or \\spad{f}(a,{} \\spad{b}) returns the value of \\spad{f} at the point \\spad{(x = a, y = b)} if it is not singular.")) (|primitivePart| (($ $) "\\spad{primitivePart(f)} removes the content of the denominator and the common content of the numerator of \\spad{f}.")) (|differentiate| (($ $ (|Mapping| |#3| |#3|)) "\\spad{differentiate(x, d)} extends the derivation \\spad{d} from UP to \\$ and applies it to \\spad{x}.")) (|integralDerivationMatrix| (((|Record| (|:| |num| (|Matrix| |#3|)) (|:| |den| |#3|)) (|Mapping| |#3| |#3|)) "\\spad{integralDerivationMatrix(d)} extends the derivation \\spad{d} from UP to \\$ and returns (\\spad{M},{} \\spad{Q}) such that the i^th row of \\spad{M} divided by \\spad{Q} form the coordinates of \\spad{d(wi)} with respect to \\spad{(w1,...,wn)} where \\spad{(w1,...,wn)} is the integral basis returned by integralBasis().")) (|integralRepresents| (($ (|Vector| |#3|) |#3|) "\\spad{integralRepresents([A1,...,An], D)} returns \\spad{(A1 w1+...+An wn)/D} where \\spad{(w1,...,wn)} is the integral basis of \\spad{integralBasis()}.")) (|integralCoordinates| (((|Record| (|:| |num| (|Vector| |#3|)) (|:| |den| |#3|)) $) "\\spad{integralCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 w1 +...+ An wn) / D} where \\spad{(w1,...,wn)} is the integral basis returned by \\spad{integralBasis()}.")) (|represents| (($ (|Vector| |#3|) |#3|) "\\spad{represents([A0,...,A(n-1)],D)} returns \\spad{(A0 + A1 y +...+ A(n-1)*y**(n-1))/D}.")) (|yCoordinates| (((|Record| (|:| |num| (|Vector| |#3|)) (|:| |den| |#3|)) $) "\\spad{yCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 + A2 y +...+ An y**(n-1)) / D}.")) (|inverseIntegralMatrixAtInfinity| (((|Matrix| (|Fraction| |#3|))) "\\spad{inverseIntegralMatrixAtInfinity()} returns \\spad{M} such that \\spad{M (v1,...,vn) = (1, y, ..., y**(n-1))} where \\spad{(v1,...,vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|integralMatrixAtInfinity| (((|Matrix| (|Fraction| |#3|))) "\\spad{integralMatrixAtInfinity()} returns \\spad{M} such that \\spad{(v1,...,vn) = M (1, y, ..., y**(n-1))} where \\spad{(v1,...,vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|inverseIntegralMatrix| (((|Matrix| (|Fraction| |#3|))) "\\spad{inverseIntegralMatrix()} returns \\spad{M} such that \\spad{M (w1,...,wn) = (1, y, ..., y**(n-1))} where \\spad{(w1,...,wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|integralMatrix| (((|Matrix| (|Fraction| |#3|))) "\\spad{integralMatrix()} returns \\spad{M} such that \\spad{(w1,...,wn) = M (1, y, ..., y**(n-1))},{} where \\spad{(w1,...,wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|reduceBasisAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{reduceBasisAtInfinity(b1,...,bn)} returns \\spad{(x**i * bj)} for all \\spad{i},{}\\spad{j} such that \\spad{x**i*bj} is locally integral at infinity.")) (|normalizeAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{normalizeAtInfinity(v)} makes \\spad{v} normal at infinity.")) (|complementaryBasis| (((|Vector| $) (|Vector| $)) "\\spad{complementaryBasis(b1,...,bn)} returns the complementary basis \\spad{(b1',...,bn')} of \\spad{(b1,...,bn)}.")) (|integral?| (((|Boolean|) $ |#3|) "\\spad{integral?(f, p)} tests whether \\spad{f} is locally integral at \\spad{p(x) = 0}.") (((|Boolean|) $ |#2|) "\\spad{integral?(f, a)} tests whether \\spad{f} is locally integral at \\spad{x = a}.") (((|Boolean|) $) "\\spad{integral?()} tests if \\spad{f} is integral over \\spad{k[x]}.")) (|integralAtInfinity?| (((|Boolean|) $) "\\spad{integralAtInfinity?()} tests if \\spad{f} is locally integral at infinity.")) (|integralBasisAtInfinity| (((|Vector| $)) "\\spad{integralBasisAtInfinity()} returns the local integral basis at infinity.")) (|integralBasis| (((|Vector| $)) "\\spad{integralBasis()} returns the integral basis for the curve.")) (|ramified?| (((|Boolean|) |#3|) "\\spad{ramified?(p)} tests whether \\spad{p(x) = 0} is ramified.") (((|Boolean|) |#2|) "\\spad{ramified?(a)} tests whether \\spad{x = a} is ramified.")) (|ramifiedAtInfinity?| (((|Boolean|)) "\\spad{ramifiedAtInfinity?()} tests if infinity is ramified.")) (|singular?| (((|Boolean|) |#3|) "\\spad{singular?(p)} tests whether \\spad{p(x) = 0} is singular.") (((|Boolean|) |#2|) "\\spad{singular?(a)} tests whether \\spad{x = a} is singular.")) (|singularAtInfinity?| (((|Boolean|)) "\\spad{singularAtInfinity?()} tests if there is a singularity at infinity.")) (|branchPoint?| (((|Boolean|) |#3|) "\\spad{branchPoint?(p)} tests whether \\spad{p(x) = 0} is a branch point.") (((|Boolean|) |#2|) "\\spad{branchPoint?(a)} tests whether \\spad{x = a} is a branch point.")) (|branchPointAtInfinity?| (((|Boolean|)) "\\spad{branchPointAtInfinity?()} tests if there is a branch point at infinity.")) (|rationalPoint?| (((|Boolean|) |#2| |#2|) "\\spad{rationalPoint?(a, b)} tests if \\spad{(x=a,y=b)} is on the curve.")) (|absolutelyIrreducible?| (((|Boolean|)) "\\spad{absolutelyIrreducible?()} tests if the curve absolutely irreducible?")) (|genus| (((|NonNegativeInteger|)) "\\spad{genus()} returns the genus of one absolutely irreducible component")) (|numberOfComponents| (((|NonNegativeInteger|)) "\\spad{numberOfComponents()} returns the number of absolutely irreducible components."))) NIL ((|HasCategory| |#2| (QUOTE (-379))) (|HasCategory| |#2| (QUOTE (-374)))) -(-353 -1967 UP UPUP) +(-353 -1966 UP UPUP) ((|constructor| (NIL "This category is a model for the function field of a plane algebraic curve.")) (|rationalPoints| (((|List| (|List| |#1|))) "\\spad{rationalPoints()} returns the list of all the affine rational points.")) (|nonSingularModel| (((|List| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{nonSingularModel(u)} returns the equations in u1,{}...,{}un of an affine non-singular model for the curve.")) (|algSplitSimple| (((|Record| (|:| |num| $) (|:| |den| |#2|) (|:| |derivden| |#2|) (|:| |gd| |#2|)) $ (|Mapping| |#2| |#2|)) "\\spad{algSplitSimple(f, D)} returns \\spad{[h,d,d',g]} such that \\spad{f=h/d},{} \\spad{h} is integral at all the normal places \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} \\spad{d' = Dd},{} \\spad{g = gcd(d, discriminant())} and \\spad{D} is the derivation to use. \\spad{f} must have at most simple finite poles.")) (|hyperelliptic| (((|Union| |#2| "failed")) "\\spad{hyperelliptic()} returns \\spad{p(x)} if the curve is the hyperelliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elliptic| (((|Union| |#2| "failed")) "\\spad{elliptic()} returns \\spad{p(x)} if the curve is the elliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elt| ((|#1| $ |#1| |#1|) "\\spad{elt(f,a,b)} or \\spad{f}(a,{} \\spad{b}) returns the value of \\spad{f} at the point \\spad{(x = a, y = b)} if it is not singular.")) (|primitivePart| (($ $) "\\spad{primitivePart(f)} removes the content of the denominator and the common content of the numerator of \\spad{f}.")) (|differentiate| (($ $ (|Mapping| |#2| |#2|)) "\\spad{differentiate(x, d)} extends the derivation \\spad{d} from UP to \\$ and applies it to \\spad{x}.")) (|integralDerivationMatrix| (((|Record| (|:| |num| (|Matrix| |#2|)) (|:| |den| |#2|)) (|Mapping| |#2| |#2|)) "\\spad{integralDerivationMatrix(d)} extends the derivation \\spad{d} from UP to \\$ and returns (\\spad{M},{} \\spad{Q}) such that the i^th row of \\spad{M} divided by \\spad{Q} form the coordinates of \\spad{d(wi)} with respect to \\spad{(w1,...,wn)} where \\spad{(w1,...,wn)} is the integral basis returned by integralBasis().")) (|integralRepresents| (($ (|Vector| |#2|) |#2|) "\\spad{integralRepresents([A1,...,An], D)} returns \\spad{(A1 w1+...+An wn)/D} where \\spad{(w1,...,wn)} is the integral basis of \\spad{integralBasis()}.")) (|integralCoordinates| (((|Record| (|:| |num| (|Vector| |#2|)) (|:| |den| |#2|)) $) "\\spad{integralCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 w1 +...+ An wn) / D} where \\spad{(w1,...,wn)} is the integral basis returned by \\spad{integralBasis()}.")) (|represents| (($ (|Vector| |#2|) |#2|) "\\spad{represents([A0,...,A(n-1)],D)} returns \\spad{(A0 + A1 y +...+ A(n-1)*y**(n-1))/D}.")) (|yCoordinates| (((|Record| (|:| |num| (|Vector| |#2|)) (|:| |den| |#2|)) $) "\\spad{yCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 + A2 y +...+ An y**(n-1)) / D}.")) (|inverseIntegralMatrixAtInfinity| (((|Matrix| (|Fraction| |#2|))) "\\spad{inverseIntegralMatrixAtInfinity()} returns \\spad{M} such that \\spad{M (v1,...,vn) = (1, y, ..., y**(n-1))} where \\spad{(v1,...,vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|integralMatrixAtInfinity| (((|Matrix| (|Fraction| |#2|))) "\\spad{integralMatrixAtInfinity()} returns \\spad{M} such that \\spad{(v1,...,vn) = M (1, y, ..., y**(n-1))} where \\spad{(v1,...,vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|inverseIntegralMatrix| (((|Matrix| (|Fraction| |#2|))) "\\spad{inverseIntegralMatrix()} returns \\spad{M} such that \\spad{M (w1,...,wn) = (1, y, ..., y**(n-1))} where \\spad{(w1,...,wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|integralMatrix| (((|Matrix| (|Fraction| |#2|))) "\\spad{integralMatrix()} returns \\spad{M} such that \\spad{(w1,...,wn) = M (1, y, ..., y**(n-1))},{} where \\spad{(w1,...,wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|reduceBasisAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{reduceBasisAtInfinity(b1,...,bn)} returns \\spad{(x**i * bj)} for all \\spad{i},{}\\spad{j} such that \\spad{x**i*bj} is locally integral at infinity.")) (|normalizeAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{normalizeAtInfinity(v)} makes \\spad{v} normal at infinity.")) (|complementaryBasis| (((|Vector| $) (|Vector| $)) "\\spad{complementaryBasis(b1,...,bn)} returns the complementary basis \\spad{(b1',...,bn')} of \\spad{(b1,...,bn)}.")) (|integral?| (((|Boolean|) $ |#2|) "\\spad{integral?(f, p)} tests whether \\spad{f} is locally integral at \\spad{p(x) = 0}.") (((|Boolean|) $ |#1|) "\\spad{integral?(f, a)} tests whether \\spad{f} is locally integral at \\spad{x = a}.") (((|Boolean|) $) "\\spad{integral?()} tests if \\spad{f} is integral over \\spad{k[x]}.")) (|integralAtInfinity?| (((|Boolean|) $) "\\spad{integralAtInfinity?()} tests if \\spad{f} is locally integral at infinity.")) (|integralBasisAtInfinity| (((|Vector| $)) "\\spad{integralBasisAtInfinity()} returns the local integral basis at infinity.")) (|integralBasis| (((|Vector| $)) "\\spad{integralBasis()} returns the integral basis for the curve.")) (|ramified?| (((|Boolean|) |#2|) "\\spad{ramified?(p)} tests whether \\spad{p(x) = 0} is ramified.") (((|Boolean|) |#1|) "\\spad{ramified?(a)} tests whether \\spad{x = a} is ramified.")) (|ramifiedAtInfinity?| (((|Boolean|)) "\\spad{ramifiedAtInfinity?()} tests if infinity is ramified.")) (|singular?| (((|Boolean|) |#2|) "\\spad{singular?(p)} tests whether \\spad{p(x) = 0} is singular.") (((|Boolean|) |#1|) "\\spad{singular?(a)} tests whether \\spad{x = a} is singular.")) (|singularAtInfinity?| (((|Boolean|)) "\\spad{singularAtInfinity?()} tests if there is a singularity at infinity.")) (|branchPoint?| (((|Boolean|) |#2|) "\\spad{branchPoint?(p)} tests whether \\spad{p(x) = 0} is a branch point.") (((|Boolean|) |#1|) "\\spad{branchPoint?(a)} tests whether \\spad{x = a} is a branch point.")) (|branchPointAtInfinity?| (((|Boolean|)) "\\spad{branchPointAtInfinity?()} tests if there is a branch point at infinity.")) (|rationalPoint?| (((|Boolean|) |#1| |#1|) "\\spad{rationalPoint?(a, b)} tests if \\spad{(x=a,y=b)} is on the curve.")) (|absolutelyIrreducible?| (((|Boolean|)) "\\spad{absolutelyIrreducible?()} tests if the curve absolutely irreducible?")) (|genus| (((|NonNegativeInteger|)) "\\spad{genus()} returns the genus of one absolutely irreducible component")) (|numberOfComponents| (((|NonNegativeInteger|)) "\\spad{numberOfComponents()} returns the number of absolutely irreducible components."))) ((-4455 |has| (-419 |#2|) (-374)) (-4460 |has| (-419 |#2|) (-374)) (-4454 |has| (-419 |#2|) (-374)) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) NIL @@ -1372,7 +1372,7 @@ 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."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) NIL -(-361 R UP -1967) +(-361 R UP -1966) ((|constructor| (NIL "In this package \\spad{R} is a Euclidean domain and \\spad{F} is a framed algebra over \\spad{R}. The package provides functions to compute the integral closure of \\spad{R} in the quotient field of \\spad{F}. It is assumed that \\spad{char(R/P) = char(R)} for any prime \\spad{P} of \\spad{R}. A typical instance of this is when \\spad{R = K[x]} and \\spad{F} is a function field over \\spad{R}.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) |#1|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the integral closure of \\spad{R} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}"))) NIL NIL @@ -1396,7 +1396,7 @@ 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."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) ((-2781 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) -(-367 -1967 GF) +(-367 -1966 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 @@ -1404,7 +1404,7 @@ 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 -(-369 -1967 FP FPP) +(-369 -1966 FP FPP) ((|constructor| (NIL "This package solves linear diophantine equations for Bivariate polynomials over finite fields")) (|solveLinearPolynomialEquation| (((|Union| (|List| |#3|) "failed") (|List| |#3|) |#3|) "\\spad{solveLinearPolynomialEquation([f1, ..., fn], g)} (where the \\spad{fi} are relatively prime to each other) returns a list of \\spad{ai} such that \\spad{g/prod fi = sum ai/fi} or returns \"failed\" if no such list of \\spad{ai}\\spad{'s} exists."))) NIL NIL @@ -1544,7 +1544,7 @@ 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 -(-404 -1967 UP UPUP R) +(-404 -1966 UP UPUP R) ((|constructor| (NIL "\\indented{1}{Finds the order of a divisor over a finite field} Author: Manuel Bronstein Date Created: 1988 Date Last Updated: 11 Jul 1990")) (|order| (((|NonNegativeInteger|) (|FiniteDivisor| |#1| |#2| |#3| |#4|)) "\\spad{order(x)} \\undocumented"))) NIL NIL @@ -1572,7 +1572,7 @@ 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 -(-411 -1967 UP) +(-411 -1966 UP) ((|constructor| (NIL "\\indented{1}{Full partial fraction expansion of rational functions} Author: Manuel Bronstein Date Created: 9 December 1992 Date Last Updated: June 18,{} 2010 References: \\spad{M}.Bronstein & \\spad{B}.Salvy,{} \\indented{12}{Full Partial Fraction Decomposition of Rational Functions,{}} \\indented{12}{in Proceedings of ISSAC'93,{} Kiev,{} ACM Press.}")) (|construct| (($ (|List| (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |center| |#2|) (|:| |num| |#2|)))) "\\spad{construct(l)} is the inverse of fracPart.")) (|fracPart| (((|List| (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |center| |#2|) (|:| |num| |#2|))) $) "\\spad{fracPart(f)} returns the list of summands of the fractional part of \\spad{f}.")) (|polyPart| ((|#2| $) "\\spad{polyPart(f)} returns the polynomial part of \\spad{f}.")) (|fullPartialFraction| (($ (|Fraction| |#2|)) "\\spad{fullPartialFraction(f)} returns \\spad{[p, [[j, Dj, Hj]...]]} such that \\spad{f = p(x) + \\sum_{[j,Dj,Hj] in l} \\sum_{Dj(a)=0} Hj(a)/(x - a)\\^j}.")) (+ (($ |#2| $) "\\spad{p + x} returns the sum of \\spad{p} and \\spad{x}"))) NIL NIL @@ -1628,11 +1628,11 @@ NIL ((|constructor| (NIL "\\indented{1}{Lifting of morphisms to fractional ideals.} Author: Manuel Bronstein Date Created: 1 Feb 1989 Date Last Updated: 27 Feb 1990 Keywords: ideal,{} algebra,{} module.")) (|map| (((|FractionalIdeal| |#5| |#6| |#7| |#8|) (|Mapping| |#5| |#1|) (|FractionalIdeal| |#1| |#2| |#3| |#4|)) "\\spad{map(f,i)} \\undocumented{}"))) NIL NIL -(-425 R -1967 UP A) +(-425 R -1966 UP A) ((|constructor| (NIL "Fractional ideals in a framed algebra.")) (|randomLC| ((|#4| (|NonNegativeInteger|) (|Vector| |#4|)) "\\spad{randomLC(n,x)} should be local but conditional.")) (|minimize| (($ $) "\\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)}."))) ((-4459 . T)) NIL -(-426 R -1967 UP A |ibasis|) +(-426 R -1966 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 -1057) (|devaluate| |#2|)))) @@ -1680,7 +1680,7 @@ 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|) $) "\\spad{cardinality(u)} returns the number of elements of \\spad{u}. Note: \\axiom{cardinality(\\spad{u}) = \\#u}."))) ((-4462 . T) (-4452 . T) (-4463 . T)) NIL -(-438 R -1967) +(-438 R -1966) ((|constructor| (NIL "\\spadtype{FunctionSpaceComplexIntegration} provides functions for the indefinite integration of complex-valued functions.")) (|complexIntegrate| ((|#2| |#2| (|Symbol|)) "\\spad{complexIntegrate(f, x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable.")) (|internalIntegrate0| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate0 should} be a local function,{} but is conditional.")) (|internalIntegrate| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate(f, x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable."))) NIL NIL @@ -1688,7 +1688,7 @@ NIL ((|constructor| (NIL "\\indented{1}{Author: James Davenport} Date Created: 17 April 1992 Date Last Updated: Basic Functions: Related Constructors: Also See: AMS Classifications: Keywords: References: Description:")) (|makeCos| (($ |#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"))) ((-4449 -12 (|has| |#1| (-6 -4449)) (|has| |#2| (-6 -4449))) (-4456 . T) (-4457 . T) (-4459 . T)) ((-12 (|HasAttribute| |#1| (QUOTE -4449)) (|HasAttribute| |#2| (QUOTE -4449)))) -(-440 R -1967) +(-440 R -1966) ((|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 @@ -1700,15 +1700,15 @@ 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| $)))) "\\spad{eval(x, [s1,...,sm], [n1,...,nm], [f1,...,fm])} replaces every \\spad{si(a1,...,an)**ni} in \\spad{x} by \\spad{fi(a1,...,an)} for any a1,{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ $))) "\\spad{eval(x, [s1,...,sm], [n1,...,nm], [f1,...,fm])} replaces every \\spad{si(a)**ni} in \\spad{x} by \\spad{fi(a)} for any \\spad{a}.") (($ $ (|List| (|BasicOperator|)) (|List| $) (|Symbol|)) "\\spad{eval(x, [s1,...,sm], [f1,...,fm], y)} replaces every \\spad{si(a)} in \\spad{x} by \\spad{fi(y)} with \\spad{y} replaced by \\spad{a} for any \\spad{a}.") (($ $ (|BasicOperator|) $ (|Symbol|)) "\\spad{eval(x, s, f, y)} replaces every \\spad{s(a)} in \\spad{x} by \\spad{f(y)} with \\spad{y} replaced by \\spad{a} for any \\spad{a}.") (($ $) "\\spad{eval(f)} unquotes all the quoted operators in \\spad{f}.") (($ $ (|List| (|Symbol|))) "\\spad{eval(f, [foo1,...,foon])} unquotes all the \\spad{fooi}\\spad{'s} in \\spad{f}.") (($ $ (|Symbol|)) "\\spad{eval(f, foo)} unquotes all the foo\\spad{'s} in \\spad{f}.")) (|applyQuote| (($ (|Symbol|) (|List| $)) "\\spad{applyQuote(foo, [x1,...,xn])} returns \\spad{'foo(x1,...,xn)}.") (($ (|Symbol|) $ $ $ $) "\\spad{applyQuote(foo, x, y, z, t)} returns \\spad{'foo(x,y,z,t)}.") (($ (|Symbol|) $ $ $) "\\spad{applyQuote(foo, x, y, z)} returns \\spad{'foo(x,y,z)}.") (($ (|Symbol|) $ $) "\\spad{applyQuote(foo, x, y)} returns \\spad{'foo(x,y)}.") (($ (|Symbol|) $) "\\spad{applyQuote(foo, x)} returns \\spad{'foo(x)}.")) (|variables| (((|List| (|Symbol|)) $) "\\spad{variables(f)} returns the list of all the variables of \\spad{f}.")) (|ground| ((|#1| $) "\\spad{ground(f)} returns \\spad{f} as an element of \\spad{R}. An error occurs if \\spad{f} is not an element of \\spad{R}.")) (|ground?| (((|Boolean|) $) "\\spad{ground?(f)} tests if \\spad{f} is an element of \\spad{R}."))) ((-4459 -2781 (|has| |#1| (-1068)) (|has| |#1| (-485))) (-4457 |has| |#1| (-174)) (-4456 |has| |#1| (-174)) ((-4464 "*") |has| |#1| (-568)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-568)) (-4454 |has| |#1| (-568))) NIL -(-443 R -1967) +(-443 R -1966) ((|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 -(-444 R -1967) +(-444 R -1966) ((|constructor| (NIL "FunctionsSpacePrimitiveElement provides functions to compute primitive elements in functions spaces.")) (|primitiveElement| (((|Record| (|:| |primelt| |#2|) (|:| |pol1| (|SparseUnivariatePolynomial| |#2|)) (|:| |pol2| (|SparseUnivariatePolynomial| |#2|)) (|:| |prim| (|SparseUnivariatePolynomial| |#2|))) |#2| |#2|) "\\spad{primitiveElement(a1, a2)} returns \\spad{[a, q1, q2, q]} such that \\spad{k(a1, a2) = k(a)},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. The minimal polynomial for a2 may involve \\spad{a1},{} but the minimal polynomial for \\spad{a1} may not involve a2; This operations uses \\spadfun{resultant}.") (((|Record| (|:| |primelt| |#2|) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#2|))) (|:| |prim| (|SparseUnivariatePolynomial| |#2|))) (|List| |#2|)) "\\spad{primitiveElement([a1,...,an])} returns \\spad{[a, [q1,...,qn], q]} such that then \\spad{k(a1,...,an) = k(a)},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}."))) NIL ((|HasCategory| |#2| (QUOTE (-27)))) -(-445 R -1967) +(-445 R -1966) ((|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 @@ -1716,7 +1716,7 @@ 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 -(-447 R -1967 UP) +(-447 R -1966 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 -1057) (QUOTE (-48))))) @@ -1748,7 +1748,7 @@ 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 -(-455 R UP -1967) +(-455 R UP -1966) ((|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 @@ -1860,7 +1860,7 @@ 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 -(-483 |lv| -1967 R) +(-483 |lv| -1966 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 @@ -1875,7 +1875,7 @@ NIL (-486 |Coef| |var| |cen|) ((|constructor| (NIL "This is a category of univariate Puiseux series constructed from univariate Laurent series. A Puiseux series is represented by a pair \\spad{[r,f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x\\^r)}.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|coerce| (($ (|UnivariatePuiseuxSeries| |#1| |#2| |#3|)) "\\spad{coerce(f)} converts a Puiseux series to a general power series.") (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Puiseux series."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-374)) (-4454 |has| |#1| (-374)) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2781 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-2781 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2781 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3581) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2781 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1221))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -3009) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1935) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2781 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-2781 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2781 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3581) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2781 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1221))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -4121) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1934) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|))))))) (-487 |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."))) ((-4463 . T)) @@ -1916,7 +1916,7 @@ 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}."))) ((-4462 . T) (-4463 . T)) ((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2781 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1119)))) (-2781 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#1| (QUOTE (-102)))) -(-497 -1967 UP UPUP R) +(-497 -1966 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 @@ -1952,7 +1952,7 @@ 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 -(-506 -1967 UP |AlExt| |AlPol|) +(-506 -1966 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 @@ -1972,7 +1972,7 @@ 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 -(-511 R UP -1967) +(-511 R UP -1966) ((|constructor| (NIL "This package contains functions used in the packages FunctionFieldIntegralBasis and NumberFieldIntegralBasis.")) (|moduleSum| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) (|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) (|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|)))) "\\spad{moduleSum(m1,m2)} returns the sum of two modules in the framed algebra \\spad{F}. Each module \\spad{mi} is represented as follows: \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn} and \\spad{mi} is a record \\spad{[basis,basisDen,basisInv]}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then a basis \\spad{v1,...,vn} for \\spad{mi} is given by \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|idealiserMatrix| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{idealiserMatrix(m1, m2)} returns the matrix representing the linear conditions on the Ring associatied with an ideal defined by \\spad{m1} and \\spad{m2}.")) (|idealiser| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{idealiser(m1,m2,d)} computes the order of an ideal defined by \\spad{m1} and \\spad{m2} where \\spad{d} is the known part of the denominator") (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{idealiser(m1,m2)} computes the order of an ideal defined by \\spad{m1} and \\spad{m2}")) (|leastPower| (((|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{leastPower(p,n)} returns \\spad{e},{} where \\spad{e} is the smallest integer such that \\spad{p **e >= n}")) (|divideIfCan!| ((|#1| (|Matrix| |#1|) (|Matrix| |#1|) |#1| (|Integer|)) "\\spad{divideIfCan!(matrix,matrixOut,prime,n)} attempts to divide the entries of \\spad{matrix} by \\spad{prime} and store the result in \\spad{matrixOut}. If it is successful,{} 1 is returned and if not,{} \\spad{prime} is returned. Here both \\spad{matrix} and \\spad{matrixOut} are \\spad{n}-by-\\spad{n} upper triangular matrices.")) (|matrixGcd| ((|#1| (|Matrix| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{matrixGcd(mat,sing,n)} is \\spad{gcd(sing,g)} where \\spad{g} is the \\spad{gcd} of the entries of the \\spad{n}-by-\\spad{n} upper-triangular matrix \\spad{mat}.")) (|diagonalProduct| ((|#1| (|Matrix| |#1|)) "\\spad{diagonalProduct(m)} returns the product of the elements on the diagonal of the matrix \\spad{m}")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}"))) NIL NIL @@ -1992,7 +1992,7 @@ NIL ((|constructor| (NIL "InnerCommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#4|) "\\spad{splitDenominator([q1,...,qn])} returns \\spad{[[p1,...,pn], d]} such that \\spad{qi = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|clearDenominator| ((|#3| |#4|) "\\spad{clearDenominator([q1,...,qn])} returns \\spad{[p1,...,pn]} such that \\spad{qi = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|commonDenominator| ((|#1| |#4|) "\\spad{commonDenominator([q1,...,qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}\\spad{qn}."))) NIL NIL -(-516 -1967 |Expon| |VarSet| |DPoly|) +(-516 -1966 |Expon| |VarSet| |DPoly|) ((|constructor| (NIL "This domain represents polynomial ideals with coefficients in any field and supports the basic ideal operations,{} including intersection sum and quotient. An ideal is represented by a list of polynomials (the generators of the ideal) and a boolean that is \\spad{true} if the generators are a Groebner basis. The algorithms used are based on Groebner basis computations. The ordering is determined by the datatype of the input polynomials. Users may use refinements of total degree orderings.")) (|relationsIdeal| (((|SuchThat| (|List| (|Polynomial| |#1|)) (|List| (|Equation| (|Polynomial| |#1|)))) (|List| |#4|)) "\\spad{relationsIdeal(polyList)} returns the ideal of relations among the polynomials in \\spad{polyList}.")) (|saturate| (($ $ |#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 -626) (QUOTE (-1195))))) @@ -2104,7 +2104,7 @@ 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 -(-544 K -1967 |Par|) +(-544 K -1966 |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 @@ -2128,7 +2128,7 @@ 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 -(-550 K -1967 |Par|) +(-550 K -1966 |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 @@ -2180,11 +2180,11 @@ NIL ((|constructor| (NIL "This domain is used to provide a conditional \"add\" domain for the implementation of \\spadtype{Table}."))) ((-4462 . T) (-4463 . T)) ((-12 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4391 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4391 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4300) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4391) (|devaluate| |#2|)))))) (-2781 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4391 |#2|)) (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-1119)))) (-2781 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4391 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4391 |#2|)) (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1119)))) (-2781 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4391 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4391 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4391 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4391 |#2|)) (QUOTE (-1119))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-1119))) (-2781 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4391 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (-2781 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4391 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4391 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4391 |#2|)) (QUOTE (-102)))) -(-563 R -1967) +(-563 R -1966) ((|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 -(-564 R0 -1967 UP UPUP R) +(-564 R0 -1966 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 @@ -2204,7 +2204,7 @@ 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."))) ((-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) NIL -(-569 R -1967) +(-569 R -1966) ((|constructor| (NIL "This package provides functions for integration,{} limited integration,{} extended integration and the risch differential equation for elemntary functions.")) (|lfextlimint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Symbol|) (|Kernel| |#2|) (|List| (|Kernel| |#2|))) "\\spad{lfextlimint(f,x,k,[k1,...,kn])} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f - c dk/dx}. Value \\spad{h} is looked for in a field containing \\spad{f} and \\spad{k1},{}...,{}\\spad{kn} (the \\spad{ki}\\spad{'s} must be logs).")) (|lfintegrate| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{lfintegrate(f, x)} = \\spad{g} such that \\spad{dg/dx = f}.")) (|lfinfieldint| (((|Union| |#2| "failed") |#2| (|Symbol|)) "\\spad{lfinfieldint(f, x)} returns a function \\spad{g} such that \\spad{dg/dx = f} if \\spad{g} exists,{} \"failed\" otherwise.")) (|lflimitedint| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Symbol|) (|List| |#2|)) "\\spad{lflimitedint(f,x,[g1,...,gn])} returns functions \\spad{[h,[[ci, gi]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,...,gn]},{} and \\spad{d(h+sum(ci log(gi)))/dx = f},{} if possible,{} \"failed\" otherwise.")) (|lfextendedint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Symbol|) |#2|) "\\spad{lfextendedint(f, x, g)} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f - cg},{} if (\\spad{h},{} \\spad{c}) exist,{} \"failed\" otherwise."))) NIL NIL @@ -2216,7 +2216,7 @@ 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 -(-572 R -1967 L) +(-572 R -1966 L) ((|constructor| (NIL "This internal package rationalises integrands on curves of the form: \\indented{2}{\\spad{y\\^2 = a x\\^2 + b x + c}} \\indented{2}{\\spad{y\\^2 = (a x + b) / (c x + d)}} \\indented{2}{\\spad{f(x, y) = 0} where \\spad{f} has degree 1 in \\spad{x}} The rationalization is done for integration,{} limited integration,{} extended integration and the risch differential equation.")) (|palgLODE0| (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgLODE0(op,g,x,y,z,t,c)} returns the solution of \\spad{op f = g} Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}.") (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgLODE0(op, g, x, y, d, p)} returns the solution of \\spad{op f = g}. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}.")) (|lift| (((|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) (|SparseUnivariatePolynomial| |#2|) (|Kernel| |#2|)) "\\spad{lift(u,k)} \\undocumented")) (|multivariate| ((|#2| (|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) (|Kernel| |#2|) |#2|) "\\spad{multivariate(u,k,f)} \\undocumented")) (|univariate| (((|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|SparseUnivariatePolynomial| |#2|)) "\\spad{univariate(f,k,k,p)} \\undocumented")) (|palgRDE0| (((|Union| |#2| "failed") |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|)) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgRDE0(f, g, x, y, foo, t, c)} returns a function \\spad{z(x,y)} such that \\spad{dz/dx + n * df/dx z(x,y) = g(x,y)} if such a \\spad{z} exists,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{foo},{} called by \\spad{foo(a, b, x)},{} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}.") (((|Union| |#2| "failed") |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|)) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgRDE0(f, g, x, y, foo, d, p)} returns a function \\spad{z(x,y)} such that \\spad{dz/dx + n * df/dx z(x,y) = g(x,y)} if such a \\spad{z} exists,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}. Argument \\spad{foo},{} called by \\spad{foo(a, b, x)},{} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}.")) (|palglimint0| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palglimint0(f, x, y, [u1,...,un], z, t, c)} returns functions \\spad{[h,[[ci, ui]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,...,un]} and \\spad{d(h + sum(ci log(ui)))/dx = f(x,y)} if such functions exist,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}.") (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palglimint0(f, x, y, [u1,...,un], d, p)} returns functions \\spad{[h,[[ci, ui]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,...,un]} and \\spad{d(h + sum(ci log(ui)))/dx = f(x,y)} if such functions exist,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}.")) (|palgextint0| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgextint0(f, x, y, g, z, t, c)} returns functions \\spad{[h, d]} such that \\spad{dh/dx = f(x,y) - d g},{} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy},{} and \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{z} is a dummy variable not appearing in \\spad{f(x,y)}. The operation returns \"failed\" if no such functions exist.") (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgextint0(f, x, y, g, d, p)} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f(x,y) - c g},{} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2 y(x)\\^2 = P(x)},{} or \"failed\" if no such functions exist.")) (|palgint0| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgint0(f, x, y, z, t, c)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{z} is a dummy variable not appearing in \\spad{f(x,y)}.") (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgint0(f, x, y, d, p)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2 y(x)\\^2 = P(x)}."))) NIL ((|HasCategory| |#3| (LIST (QUOTE -668) (|devaluate| |#2|)))) @@ -2224,11 +2224,11 @@ 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 -(-574 -1967 UP UPUP R) +(-574 -1966 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 -(-575 -1967 UP) +(-575 -1966 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 @@ -2240,15 +2240,15 @@ 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 -(-578 R -1967 L) +(-578 R -1966 L) ((|constructor| (NIL "This package provides functions for integration,{} limited integration,{} extended integration and the risch differential equation for pure algebraic integrands.")) (|palgLODE| (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Symbol|)) "\\spad{palgLODE(op, g, kx, y, x)} returns the solution of \\spad{op f = g}. \\spad{y} is an algebraic function of \\spad{x}.")) (|palgRDE| (((|Union| |#2| "failed") |#2| |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|))) "\\spad{palgRDE(nfp, f, g, x, y, foo)} returns a function \\spad{z(x,y)} such that \\spad{dz/dx + n * df/dx z(x,y) = g(x,y)} if such a \\spad{z} exists,{} \"failed\" otherwise; \\spad{y} is an algebraic function of \\spad{x}; \\spad{foo(a, b, x)} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}. \\spad{nfp} is \\spad{n * df/dx}.")) (|palglimint| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|)) "\\spad{palglimint(f, x, y, [u1,...,un])} returns functions \\spad{[h,[[ci, ui]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,...,un]} and \\spad{d(h + sum(ci log(ui)))/dx = f(x,y)} if such functions exist,{} \"failed\" otherwise; \\spad{y} is an algebraic function of \\spad{x}.")) (|palgextint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2|) "\\spad{palgextint(f, x, y, g)} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f(x,y) - c g},{} where \\spad{y} is an algebraic function of \\spad{x}; returns \"failed\" if no such functions exist.")) (|palgint| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|)) "\\spad{palgint(f, x, y)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x}."))) NIL ((|HasCategory| |#3| (LIST (QUOTE -668) (|devaluate| |#2|)))) -(-579 R -1967) +(-579 R -1966) ((|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 -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-1158)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-641))))) -(-580 -1967 UP) +(-580 -1966 UP) ((|constructor| (NIL "This package provides functions for the base case of the Risch algorithm.")) (|limitedint| (((|Union| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|)))))) "failed") (|Fraction| |#2|) (|List| (|Fraction| |#2|))) "\\spad{limitedint(f, [g1,...,gn])} returns fractions \\spad{[h,[[ci, gi]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,...,gn]},{} \\spad{ci' = 0},{} and \\spad{(h+sum(ci log(gi)))' = f},{} if possible,{} \"failed\" otherwise.")) (|extendedint| (((|Union| (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{extendedint(f, g)} returns fractions \\spad{[h, c]} such that \\spad{c' = 0} and \\spad{h' = f - cg},{} if \\spad{(h, c)} exist,{} \"failed\" otherwise.")) (|infieldint| (((|Union| (|Fraction| |#2|) "failed") (|Fraction| |#2|)) "\\spad{infieldint(f)} returns \\spad{g} such that \\spad{g' = f} or \"failed\" if the integral of \\spad{f} is not a rational function.")) (|integrate| (((|IntegrationResult| (|Fraction| |#2|)) (|Fraction| |#2|)) "\\spad{integrate(f)} returns \\spad{g} such that \\spad{g' = f}."))) NIL NIL @@ -2256,7 +2256,7 @@ 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 -(-582 -1967) +(-582 -1966) ((|constructor| (NIL "This package provides functions for the integration of rational functions.")) (|extendedIntegrate| (((|Union| (|Record| (|:| |ratpart| (|Fraction| (|Polynomial| |#1|))) (|:| |coeff| (|Fraction| (|Polynomial| |#1|)))) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|) (|Fraction| (|Polynomial| |#1|))) "\\spad{extendedIntegrate(f, x, g)} returns fractions \\spad{[h, c]} such that \\spad{dc/dx = 0} and \\spad{dh/dx = f - cg},{} if \\spad{(h, c)} exist,{} \"failed\" otherwise.")) (|limitedIntegrate| (((|Union| (|Record| (|:| |mainpart| (|Fraction| (|Polynomial| |#1|))) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| (|Polynomial| |#1|))) (|:| |logand| (|Fraction| (|Polynomial| |#1|))))))) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|) (|List| (|Fraction| (|Polynomial| |#1|)))) "\\spad{limitedIntegrate(f, x, [g1,...,gn])} returns fractions \\spad{[h, [[ci,gi]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,...,gn]},{} \\spad{dci/dx = 0},{} and \\spad{d(h + sum(ci log(gi)))/dx = f} if possible,{} \"failed\" otherwise.")) (|infieldIntegrate| (((|Union| (|Fraction| (|Polynomial| |#1|)) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{infieldIntegrate(f, x)} returns a fraction \\spad{g} such that \\spad{dg/dx = f} if \\spad{g} exists,{} \"failed\" otherwise.")) (|internalIntegrate| (((|IntegrationResult| (|Fraction| (|Polynomial| |#1|))) (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{internalIntegrate(f, x)} returns \\spad{g} such that \\spad{dg/dx = f}."))) NIL NIL @@ -2268,15 +2268,15 @@ 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 fi = sum ai/fi} or returns \"failed\" if no such list of \\spad{ai}\\spad{'s} exists."))) NIL NIL -(-585 R -1967) +(-585 R -1966) ((|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 -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-294))) (|HasCategory| |#2| (QUOTE (-641))) (|HasCategory| |#2| (LIST (QUOTE -1057) (QUOTE (-1195))))) (-12 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-294)))) (|HasCategory| |#1| (QUOTE (-568)))) -(-586 -1967 UP) +(-586 -1966 UP) ((|constructor| (NIL "This package provides functions for the transcendental case of the Risch algorithm.")) (|monomialIntPoly| (((|Record| (|:| |answer| |#2|) (|:| |polypart| |#2|)) |#2| (|Mapping| |#2| |#2|)) "\\spad{monomialIntPoly(p, ')} returns [\\spad{q},{} \\spad{r}] such that \\spad{p = q' + r} and \\spad{degree(r) < degree(t')}. Error if \\spad{degree(t') < 2}.")) (|monomialIntegrate| (((|Record| (|:| |ir| (|IntegrationResult| (|Fraction| |#2|))) (|:| |specpart| (|Fraction| |#2|)) (|:| |polypart| |#2|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{monomialIntegrate(f, ')} returns \\spad{[ir, s, p]} such that \\spad{f = ir' + s + p} and all the squarefree factors of the denominator of \\spad{s} are special \\spad{w}.\\spad{r}.\\spad{t} the derivation '.")) (|expintfldpoly| (((|Union| (|LaurentPolynomial| |#1| |#2|) "failed") (|LaurentPolynomial| |#1| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|)) "\\spad{expintfldpoly(p, foo)} returns \\spad{q} such that \\spad{p' = q} or \"failed\" if no such \\spad{q} exists. Argument foo is a Risch differential equation function on \\spad{F}.")) (|primintfldpoly| (((|Union| |#2| "failed") |#2| (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) |#1|) "\\spad{primintfldpoly(p, ', t')} returns \\spad{q} such that \\spad{p' = q} or \"failed\" if no such \\spad{q} exists. Argument \\spad{t'} is the derivative of the primitive generating the extension.")) (|primlimintfrac| (((|Union| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|)))))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|List| (|Fraction| |#2|))) "\\spad{primlimintfrac(f, ', [u1,...,un])} returns \\spad{[v, [c1,...,cn]]} such that \\spad{ci' = 0} and \\spad{f = v' + +/[ci * ui'/ui]}. Error: if \\spad{degree numer f >= degree denom f}.")) (|primextintfrac| (((|Union| (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Fraction| |#2|)) "\\spad{primextintfrac(f, ', g)} returns \\spad{[v, c]} such that \\spad{f = v' + c g} and \\spad{c' = 0}. Error: if \\spad{degree numer f >= degree denom f} or if \\spad{degree numer g >= degree denom g} or if \\spad{denom g} is not squarefree.")) (|explimitedint| (((|Union| (|Record| (|:| |answer| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|))))))) (|:| |a0| |#1|)) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|) (|List| (|Fraction| |#2|))) "\\spad{explimitedint(f, ', foo, [u1,...,un])} returns \\spad{[v, [c1,...,cn], a]} such that \\spad{ci' = 0},{} \\spad{f = v' + a + reduce(+,[ci * ui'/ui])},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}. Returns \"failed\" if no such \\spad{v},{} \\spad{ci},{} a exist. Argument \\spad{foo} is a Risch differential equation function on \\spad{F}.")) (|primlimitedint| (((|Union| (|Record| (|:| |answer| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|))))))) (|:| |a0| |#1|)) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) (|List| (|Fraction| |#2|))) "\\spad{primlimitedint(f, ', foo, [u1,...,un])} returns \\spad{[v, [c1,...,cn], a]} such that \\spad{ci' = 0},{} \\spad{f = v' + a + reduce(+,[ci * ui'/ui])},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Returns \"failed\" if no such \\spad{v},{} \\spad{ci},{} a exist. Argument \\spad{foo} is an extended integration function on \\spad{F}.")) (|expextendedint| (((|Union| (|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |a0| |#1|)) (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|) (|Fraction| |#2|)) "\\spad{expextendedint(f, ', foo, g)} returns either \\spad{[v, c]} such that \\spad{f = v' + c g} and \\spad{c' = 0},{} or \\spad{[v, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}. Returns \"failed\" if neither case can hold. Argument \\spad{foo} is a Risch differential equation function on \\spad{F}.")) (|primextendedint| (((|Union| (|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |a0| |#1|)) (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) (|Fraction| |#2|)) "\\spad{primextendedint(f, ', foo, g)} returns either \\spad{[v, c]} such that \\spad{f = v' + c g} and \\spad{c' = 0},{} or \\spad{[v, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Returns \"failed\" if neither case can hold. Argument \\spad{foo} is an extended integration function on \\spad{F}.")) (|tanintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|List| |#1|) "failed") (|Integer|) |#1| |#1|)) "\\spad{tanintegrate(f, ', foo)} returns \\spad{[g, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}; Argument foo is a Risch differential system solver on \\spad{F}.")) (|expintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|)) "\\spad{expintegrate(f, ', foo)} returns \\spad{[g, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}; Argument foo is a Risch differential equation solver on \\spad{F}.")) (|primintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|)) "\\spad{primintegrate(f, ', foo)} returns \\spad{[g, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Argument foo is an extended integration function on \\spad{F}."))) NIL NIL -(-587 R -1967) +(-587 R -1966) ((|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 @@ -2308,11 +2308,11 @@ NIL ((|constructor| (NIL "A package to print strings without line-feed nor carriage-return.")) (|iprint| (((|Void|) (|String|)) "\\axiom{iprint(\\spad{s})} prints \\axiom{\\spad{s}} at the current position of the cursor."))) NIL NIL -(-595 R -1967) +(-595 R -1966) ((|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 -(-596 E -1967) +(-596 E -1966) ((|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 @@ -2320,7 +2320,7 @@ NIL ((|constructor| (NIL "This domain provides representations for the intermediate form data structure used by the Spad elaborator.")) (|irDef| (($ (|Identifier|) (|InternalTypeForm|) $) "\\spad{irDef(f,ts,e)} returns an IR representation for a definition of a function named \\spad{f},{} with signature \\spad{ts} and body \\spad{e}.")) (|irCtor| (($ (|Identifier|) (|InternalTypeForm|)) "\\spad{irCtor(n,t)} returns an IR for a constructor reference of type designated by the type form \\spad{t}")) (|irVar| (($ (|Identifier|) (|InternalTypeForm|)) "\\spad{irVar(x,t)} returns an IR for a variable reference of type designated by the type form \\spad{t}"))) NIL NIL -(-598 -1967) +(-598 -1966) ((|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}."))) ((-4457 . T) (-4456 . T)) ((|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-1195))))) @@ -2376,7 +2376,7 @@ 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 -(-612 R -1967 FG) +(-612 R -1966 FG) ((|constructor| (NIL "This package provides transformations from trigonometric functions to exponentials and logarithms,{} and back. \\spad{F} and \\spad{FG} should be the same type of function space.")) (|trigs2explogs| ((|#3| |#3| (|List| (|Kernel| |#3|)) (|List| (|Symbol|))) "\\spad{trigs2explogs(f, [k1,...,kn], [x1,...,xm])} rewrites all the trigonometric functions appearing in \\spad{f} and involving one of the \\spad{xi's} in terms of complex logarithms and exponentials. A kernel of the form \\spad{tan(u)} is expressed using \\spad{exp(u)**2} if it is one of the \\spad{ki's},{} in terms of \\spad{exp(2*u)} otherwise.")) (|explogs2trigs| (((|Complex| |#2|) |#3|) "\\spad{explogs2trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (F2FG ((|#3| |#2|) "\\spad{F2FG(a + sqrt(-1) b)} returns \\spad{a + i b}.")) (FG2F ((|#2| |#3|) "\\spad{FG2F(a + i b)} returns \\spad{a + sqrt(-1) b}.")) (GF2FG ((|#3| (|Complex| |#2|)) "\\spad{GF2FG(a + i b)} returns \\spad{a + i b} viewed as a function with the \\spad{i} pushed down into the coefficient domain."))) NIL NIL @@ -2406,7 +2406,7 @@ NIL NIL (-619 R A) ((|constructor| (NIL "\\indented{1}{AssociatedJordanAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$A}} \\indented{1}{to define the new multiplications \\spad{a*b := (a *\\$A b + b *\\$A a)/2}} \\indented{1}{(anticommutator).} \\indented{1}{The usual notation \\spad{{a,b}_+} cannot be used due to} \\indented{1}{restrictions in the current language.} \\indented{1}{This domain only gives a Jordan algebra if the} \\indented{1}{Jordan-identity \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} holds} \\indented{1}{for all \\spad{a},{}\\spad{b},{}\\spad{c} in \\spad{A}.} \\indented{1}{This relation can be checked by} \\indented{1}{\\spadfun{jordanAdmissible?()\\$A}.} \\blankline If the underlying algebra is of type \\spadtype{FramedNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank,{} together with a fixed \\spad{R}-module basis),{} then the same is \\spad{true} for the associated Jordan algebra. Moreover,{} if the underlying algebra is of type \\spadtype{FiniteRankNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank),{} then the same \\spad{true} for the associated Jordan algebra.")) (|coerce| (($ |#2|) "\\spad{coerce(a)} coerces the element \\spad{a} of the algebra \\spad{A} to an element of the Jordan algebra \\spadtype{AssociatedJordanAlgebra}(\\spad{R},{}A)."))) -((-4459 -2781 (-2696 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4457 . T) (-4456 . T)) +((-4459 -2781 (-2697 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4457 . T) (-4456 . T)) ((-2781 (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (-2781 (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) (-620 |Entry|) ((|constructor| (NIL "This domain allows a random access file to be viewed both as a table and as a file object.")) (|pack!| (($ $) "\\spad{pack!(f)} reorganizes the file \\spad{f} on disk to recover unused space."))) @@ -2436,7 +2436,7 @@ 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| $) "\\spad{convert(a)} transforms a into an element of \\spad{S}."))) NIL NIL -(-627 -1967 UP) +(-627 -1966 UP) ((|constructor| (NIL "\\spadtype{Kovacic} provides a modified Kovacic\\spad{'s} algorithm for solving explicitely irreducible 2nd order linear ordinary differential equations.")) (|kovacic| (((|Union| (|SparseUnivariatePolynomial| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{kovacic(a_0,a_1,a_2,ezfactor)} returns either \"failed\" or \\spad{P}(\\spad{u}) such that \\spad{\\$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 @@ -2464,7 +2464,7 @@ 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}."))) ((-4456 . T) (-4457 . T) (-4459 . T)) ((|HasCategory| |#1| (QUOTE (-860)))) -(-634 R -1967) +(-634 R -1966) ((|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 @@ -2496,11 +2496,11 @@ NIL ((|constructor| (NIL "Category for the transcendental Liouvillian functions.")) (|erf| (($ $) "\\spad{erf(x)} returns the error function of \\spad{x},{} \\spadignore{i.e.} \\spad{2 / sqrt(\\%pi)} times the integral of \\spad{exp(-x**2) dx}.")) (|dilog| (($ $) "\\spad{dilog(x)} returns the dilogarithm of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{log(x) / (1 - x) dx}.")) (|li| (($ $) "\\spad{li(x)} returns the logarithmic integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{dx / log(x)}.")) (|Ci| (($ $) "\\spad{Ci(x)} returns the cosine integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{cos(x) / x dx}.")) (|Si| (($ $) "\\spad{Si(x)} returns the sine integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{sin(x) / x dx}.")) (|Ei| (($ $) "\\spad{Ei(x)} returns the exponential integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{exp(x)/x dx}."))) NIL NIL -(-642 R -1967) +(-642 R -1966) ((|constructor| (NIL "This package provides liouvillian functions over an integral domain.")) (|integral| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{integral(f,x = a..b)} denotes the definite integral of \\spad{f} with respect to \\spad{x} from \\spad{a} to \\spad{b}.") ((|#2| |#2| (|Symbol|)) "\\spad{integral(f,x)} indefinite integral of \\spad{f} with respect to \\spad{x}.")) (|dilog| ((|#2| |#2|) "\\spad{dilog(f)} denotes the dilogarithm")) (|erf| ((|#2| |#2|) "\\spad{erf(f)} denotes the error function")) (|li| ((|#2| |#2|) "\\spad{li(f)} denotes the logarithmic integral")) (|Ci| ((|#2| |#2|) "\\spad{Ci(f)} denotes the cosine integral")) (|Si| ((|#2| |#2|) "\\spad{Si(f)} denotes the sine integral")) (|Ei| ((|#2| |#2|) "\\spad{Ei(f)} denotes the exponential integral")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns the Liouvillian operator based on \\spad{op}")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} checks if \\spad{op} is Liouvillian"))) NIL NIL -(-643 |lv| -1967) +(-643 |lv| -1966) ((|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 @@ -2518,7 +2518,7 @@ NIL NIL (-647 R A) ((|constructor| (NIL "AssociatedLieAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$A} to define the Lie bracket \\spad{a*b := (a *\\$A b - b *\\$A a)} (commutator). Note that the notation \\spad{[a,b]} cannot be used due to restrictions of the current compiler. This domain only gives a Lie algebra if the Jacobi-identity \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} holds for all \\spad{a},{}\\spad{b},{}\\spad{c} in \\spad{A}. This relation can be checked by \\spad{lieAdmissible?()\\$A}. \\blankline If the underlying algebra is of type \\spadtype{FramedNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank,{} together with a fixed \\spad{R}-module basis),{} then the same is \\spad{true} for the associated Lie algebra. Also,{} if the underlying algebra is of type \\spadtype{FiniteRankNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank),{} then the same is \\spad{true} for the associated Lie algebra.")) (|coerce| (($ |#2|) "\\spad{coerce(a)} coerces the element \\spad{a} of the algebra \\spad{A} to an element of the Lie algebra \\spadtype{AssociatedLieAlgebra}(\\spad{R},{}A)."))) -((-4459 -2781 (-2696 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4457 . T) (-4456 . T)) +((-4459 -2781 (-2697 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4457 . T) (-4456 . T)) ((-2781 (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (-2781 (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) (-648 R FE) ((|constructor| (NIL "PowerSeriesLimitPackage implements limits of expressions in one or more variables as one of the variables approaches a limiting value. Included are two-sided limits,{} left- and right- hand limits,{} and limits at plus or minus infinity.")) (|complexLimit| (((|Union| (|OnePointCompletion| |#2|) "failed") |#2| (|Equation| (|OnePointCompletion| |#2|))) "\\spad{complexLimit(f(x),x = a)} computes the complex limit \\spad{lim(x -> a,f(x))}.")) (|limit| (((|Union| (|OrderedCompletion| |#2|) "failed") |#2| (|Equation| |#2|) (|String|)) "\\spad{limit(f(x),x=a,\"left\")} computes the left hand real limit \\spad{lim(x -> a-,f(x))}; \\spad{limit(f(x),x=a,\"right\")} computes the right hand real limit \\spad{lim(x -> a+,f(x))}.") (((|Union| (|OrderedCompletion| |#2|) (|Record| (|:| |leftHandLimit| (|Union| (|OrderedCompletion| |#2|) "failed")) (|:| |rightHandLimit| (|Union| (|OrderedCompletion| |#2|) "failed"))) "failed") |#2| (|Equation| (|OrderedCompletion| |#2|))) "\\spad{limit(f(x),x = a)} computes the real limit \\spad{lim(x -> a,f(x))}."))) @@ -2584,7 +2584,7 @@ NIL ((|constructor| (NIL "A linear aggregate is an aggregate whose elements are indexed by integers. Examples of linear aggregates are strings,{} lists,{} and arrays. Most of the exported operations for linear aggregates are non-destructive but are not always efficient for a particular aggregate. For example,{} \\spadfun{concat} of two lists needs only to copy its first argument,{} whereas \\spadfun{concat} of two arrays needs to copy both arguments. Most of the operations exported here apply to infinite objects (\\spadignore{e.g.} streams) as well to finite ones. For finite linear aggregates,{} see \\spadtype{FiniteLinearAggregate}.")) (|setelt| ((|#1| $ (|UniversalSegment| (|Integer|)) |#1|) "\\spad{setelt(u,i..j,x)} (also written: \\axiom{\\spad{u}(\\spad{i}..\\spad{j}) \\spad{:=} \\spad{x}}) destructively replaces each element in the segment \\axiom{\\spad{u}(\\spad{i}..\\spad{j})} by \\spad{x}. The value \\spad{x} is returned. Note: \\spad{u} is destructively change so that \\axiom{\\spad{u}.\\spad{k} \\spad{:=} \\spad{x} for \\spad{k} in \\spad{i}..\\spad{j}}; its length remains unchanged.")) (|insert| (($ $ $ (|Integer|)) "\\spad{insert(v,u,k)} returns a copy of \\spad{u} having \\spad{v} inserted beginning at the \\axiom{\\spad{i}}th element. Note: \\axiom{insert(\\spad{v},{}\\spad{u},{}\\spad{k}) = concat( \\spad{u}(0..\\spad{k}-1),{} \\spad{v},{} \\spad{u}(\\spad{k}..) )}.") (($ |#1| $ (|Integer|)) "\\spad{insert(x,u,i)} returns a copy of \\spad{u} having \\spad{x} as its \\axiom{\\spad{i}}th element. Note: \\axiom{insert(\\spad{x},{}a,{}\\spad{k}) = concat(concat(a(0..\\spad{k}-1),{}\\spad{x}),{}a(\\spad{k}..))}.")) (|delete| (($ $ (|UniversalSegment| (|Integer|))) "\\spad{delete(u,i..j)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th through \\axiom{\\spad{j}}th element deleted. Note: \\axiom{delete(a,{}\\spad{i}..\\spad{j}) = concat(a(0..\\spad{i}-1),{}a(\\spad{j+1}..))}.") (($ $ (|Integer|)) "\\spad{delete(u,i)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th element deleted. Note: for lists,{} \\axiom{delete(a,{}\\spad{i}) \\spad{==} concat(a(0..\\spad{i} - 1),{}a(\\spad{i} + 1,{}..))}.")) (|map| (($ (|Mapping| |#1| |#1| |#1|) $ $) "\\spad{map(f,u,v)} returns a new collection \\spad{w} with elements \\axiom{\\spad{z} = \\spad{f}(\\spad{x},{}\\spad{y})} for corresponding elements \\spad{x} and \\spad{y} from \\spad{u} and \\spad{v}. Note: for linear aggregates,{} \\axiom{\\spad{w}.\\spad{i} = \\spad{f}(\\spad{u}.\\spad{i},{}\\spad{v}.\\spad{i})}.")) (|concat| (($ (|List| $)) "\\spad{concat(u)},{} where \\spad{u} is a lists of aggregates \\axiom{[a,{}\\spad{b},{}...,{}\\spad{c}]},{} returns a single aggregate consisting of the elements of \\axiom{a} followed by those of \\spad{b} followed ... by the elements of \\spad{c}. Note: \\axiom{concat(a,{}\\spad{b},{}...,{}\\spad{c}) = concat(a,{}concat(\\spad{b},{}...,{}\\spad{c}))}.") (($ $ $) "\\spad{concat(u,v)} returns an aggregate consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: if \\axiom{\\spad{w} = concat(\\spad{u},{}\\spad{v})} then \\axiom{\\spad{w}.\\spad{i} = \\spad{u}.\\spad{i} for \\spad{i} in indices \\spad{u}} and \\axiom{\\spad{w}.(\\spad{j} + maxIndex \\spad{u}) = \\spad{v}.\\spad{j} for \\spad{j} in indices \\spad{v}}.") (($ |#1| $) "\\spad{concat(x,u)} returns aggregate \\spad{u} with additional element at the front. Note: for lists: \\axiom{concat(\\spad{x},{}\\spad{u}) \\spad{==} concat([\\spad{x}],{}\\spad{u})}.") (($ $ |#1|) "\\spad{concat(u,x)} returns aggregate \\spad{u} with additional element \\spad{x} at the end. Note: for lists,{} \\axiom{concat(\\spad{u},{}\\spad{x}) \\spad{==} concat(\\spad{u},{}[\\spad{x}])}")) (|new| (($ (|NonNegativeInteger|) |#1|) "\\spad{new(n,x)} returns \\axiom{fill!(new \\spad{n},{}\\spad{x})}."))) NIL NIL -(-664 R -1967 L) +(-664 R -1966 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 @@ -2604,11 +2604,11 @@ 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}."))) ((-4456 . T) (-4457 . T) (-4459 . T)) NIL -(-669 -1967 UP) +(-669 -1966 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)))) -(-670 A -4020) +(-670 A -4138) ((|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}}"))) ((-4456 . T) (-4457 . T) (-4459 . T)) ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-374)))) @@ -2644,11 +2644,11 @@ 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}."))) ((-4463 . T) (-4462 . T)) NIL -(-679 -1967) +(-679 -1966) ((|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 -(-680 -1967 |Row| |Col| M) +(-680 -1966 |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 @@ -2721,11 +2721,11 @@ NIL NIL NIL (-698 S R |Row| |Col|) -((|constructor| (NIL "\\spadtype{MatrixCategory} is a general matrix category which allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and colums returned as objects of type Col. A domain belonging to this category will be shallowly mutable. The index of the 'first' row may be obtained by calling the function \\spadfun{minRowIndex}. The index of the 'first' column may be obtained by calling the function \\spadfun{minColIndex}. The index of the first element of a Row is the same as the index of the first column in a matrix and vice versa.")) (|inverse| (((|Union| $ "failed") $) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|minordet| ((|#2| $) "\\spad{minordet(m)} computes the determinant of the matrix \\spad{m} using minors. Error: if the matrix is not square.")) (|determinant| ((|#2| $) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}. Error: if the matrix is not square.")) (|nullSpace| (((|List| |#4|) $) "\\spad{nullSpace(m)} returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) $) "\\spad{nullity(m)} returns the nullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| (($ $) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.")) (/ (($ $ |#2|) "\\spad{m/r} divides the elements of \\spad{m} by \\spad{r}. Error: if \\spad{r = 0}.")) (|exquo| (((|Union| $ "failed") $ |#2|) "\\spad{exquo(m,r)} computes the exact quotient of the elements of \\spad{m} by \\spad{r},{} returning \\axiom{\"failed\"} if this is not possible.")) (** (($ $ (|Integer|)) "\\spad{m**n} computes an integral power of the matrix \\spad{m}. Error: if matrix is not square or if the matrix is square but not invertible.") (($ $ (|NonNegativeInteger|)) "\\spad{x ** n} computes a non-negative integral power of the matrix \\spad{x}. Error: if the matrix is not square.")) (* ((|#3| |#3| $) "\\spad{r * x} is the product of the row vector \\spad{r} and the matrix \\spad{x}. Error: if the dimensions are incompatible.") ((|#4| $ |#4|) "\\spad{x * c} is the product of the matrix \\spad{x} and the column vector \\spad{c}. Error: if the dimensions are incompatible.") (($ (|Integer|) $) "\\spad{n * x} is an integer multiple.") (($ $ |#2|) "\\spad{x * r} is the right scalar multiple of the scalar \\spad{r} and the matrix \\spad{x}.") (($ |#2| $) "\\spad{r*x} is the left scalar multiple of the scalar \\spad{r} and the matrix \\spad{x}.") (($ $ $) "\\spad{x * y} is the product of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (- (($ $) "\\spad{-x} returns the negative of the matrix \\spad{x}.") (($ $ $) "\\spad{x - y} is the difference of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (+ (($ $ $) "\\spad{x + y} is the sum of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (|setsubMatrix!| (($ $ (|Integer|) (|Integer|) $) "\\spad{setsubMatrix(x,i1,j1,y)} destructively alters the matrix \\spad{x}. Here \\spad{x(i,j)} is set to \\spad{y(i-i1+1,j-j1+1)} for \\spad{i = i1,...,i1-1+nrows y} and \\spad{j = j1,...,j1-1+ncols y}.")) (|subMatrix| (($ $ (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{subMatrix(x,i1,i2,j1,j2)} extracts the submatrix \\spad{[x(i,j)]} where the index \\spad{i} ranges from \\spad{i1} to \\spad{i2} and the index \\spad{j} ranges from \\spad{j1} to \\spad{j2}.")) (|swapColumns!| (($ $ (|Integer|) (|Integer|)) "\\spad{swapColumns!(m,i,j)} interchanges the \\spad{i}th and \\spad{j}th columns of \\spad{m}. This destructively alters the matrix.")) (|swapRows!| (($ $ (|Integer|) (|Integer|)) "\\spad{swapRows!(m,i,j)} interchanges the \\spad{i}th and \\spad{j}th rows of \\spad{m}. This destructively alters the matrix.")) (|setelt| (($ $ (|List| (|Integer|)) (|List| (|Integer|)) $) "\\spad{setelt(x,rowList,colList,y)} destructively alters the matrix \\spad{x}. If \\spad{y} is \\spad{m}-by-\\spad{n},{} \\spad{rowList = [i<1>,i<2>,...,i<m>]} and \\spad{colList = [j<1>,j<2>,...,j<n>]},{} then \\spad{x(i<k>,j<l>)} is set to \\spad{y(k,l)} for \\spad{k = 1,...,m} and \\spad{l = 1,...,n}.")) (|elt| (($ $ (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{elt(x,rowList,colList)} returns an \\spad{m}-by-\\spad{n} matrix consisting of elements of \\spad{x},{} where \\spad{m = \\# rowList} and \\spad{n = \\# colList}. If \\spad{rowList = [i<1>,i<2>,...,i<m>]} and \\spad{colList = [j<1>,j<2>,...,j<n>]},{} then the \\spad{(k,l)}th entry of \\spad{elt(x,rowList,colList)} is \\spad{x(i<k>,j<l>)}.")) (|listOfLists| (((|List| (|List| |#2|)) $) "\\spad{listOfLists(m)} returns the rows of the matrix \\spad{m} as a list of lists.")) (|vertConcat| (($ $ $) "\\spad{vertConcat(x,y)} vertically concatenates two matrices with an equal number of columns. The entries of \\spad{y} appear below of the entries of \\spad{x}. Error: if the matrices do not have the same number of columns.")) (|horizConcat| (($ $ $) "\\spad{horizConcat(x,y)} horizontally concatenates two matrices with an equal number of rows. The entries of \\spad{y} appear to the right of the entries of \\spad{x}. Error: if the matrices do not have the same number of rows.")) (|squareTop| (($ $) "\\spad{squareTop(m)} returns an \\spad{n}-by-\\spad{n} matrix consisting of the first \\spad{n} rows of the \\spad{m}-by-\\spad{n} matrix \\spad{m}. Error: if \\spad{m < n}.")) (|transpose| (($ $) "\\spad{transpose(m)} returns the transpose of the matrix \\spad{m}.") (($ |#3|) "\\spad{transpose(r)} converts the row \\spad{r} to a row matrix.")) (|coerce| (($ |#4|) "\\spad{coerce(col)} converts the column \\spad{col} to a column matrix.")) (|diagonalMatrix| (($ (|List| $)) "\\spad{diagonalMatrix([m1,...,mk])} creates a block diagonal matrix \\spad{M} with block matrices {\\em m1},{}...,{}{\\em mk} down the diagonal,{} with 0 block matrices elsewhere. More precisly: if \\spad{ri := nrows mi},{} \\spad{ci := ncols mi},{} then \\spad{m} is an (\\spad{r1+}..\\spad{+rk}) by (\\spad{c1+}..\\spad{+ck}) - matrix with entries \\spad{m.i.j = ml.(i-r1-..-r(l-1)).(j-n1-..-n(l-1))},{} if \\spad{(r1+..+r(l-1)) < i <= r1+..+rl} and \\spad{(c1+..+c(l-1)) < i <= c1+..+cl},{} \\spad{m.i.j} = 0 otherwise.") (($ (|List| |#2|)) "\\spad{diagonalMatrix(l)} returns a diagonal matrix with the elements of \\spad{l} on the diagonal.")) (|scalarMatrix| (($ (|NonNegativeInteger|) |#2|) "\\spad{scalarMatrix(n,r)} returns an \\spad{n}-by-\\spad{n} matrix with \\spad{r}\\spad{'s} on the diagonal and zeroes elsewhere.")) (|matrix| (($ (|List| (|List| |#2|))) "\\spad{matrix(l)} converts the list of lists \\spad{l} to a matrix,{} where the list of lists is viewed as a list of the rows of the matrix.")) (|zero| (($ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{zero(m,n)} returns an \\spad{m}-by-\\spad{n} zero matrix.")) (|antisymmetric?| (((|Boolean|) $) "\\spad{antisymmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and antisymmetric (\\spadignore{i.e.} \\spad{m[i,j] = -m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|symmetric?| (((|Boolean|) $) "\\spad{symmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and symmetric (\\spadignore{i.e.} \\spad{m[i,j] = m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|diagonal?| (((|Boolean|) $) "\\spad{diagonal?(m)} returns \\spad{true} if the matrix \\spad{m} is square and diagonal (\\spadignore{i.e.} all entries of \\spad{m} not on the diagonal are zero) and \\spad{false} otherwise.")) (|square?| (((|Boolean|) $) "\\spad{square?(m)} returns \\spad{true} if \\spad{m} is a square matrix (\\spadignore{i.e.} if \\spad{m} has the same number of rows as columns) and \\spad{false} otherwise.")) (|finiteAggregate| ((|attribute|) "matrices are finite")) (|shallowlyMutable| ((|attribute|) "One may destructively alter matrices"))) +((|constructor| (NIL "\\spadtype{MatrixCategory} is a general matrix category which allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and colums returned as objects of type Col. A domain belonging to this category will be shallowly mutable. The index of the 'first' row may be obtained by calling the function \\spadfun{minRowIndex}. The index of the 'first' column may be obtained by calling the function \\spadfun{minColIndex}. The index of the first element of a Row is the same as the index of the first column in a matrix and vice versa.")) (|inverse| (((|Union| $ "failed") $) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|minordet| ((|#2| $) "\\spad{minordet(m)} computes the determinant of the matrix \\spad{m} using minors. Error: if the matrix is not square.")) (|determinant| ((|#2| $) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}. Error: if the matrix is not square.")) (|nullSpace| (((|List| |#4|) $) "\\spad{nullSpace(m)} returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) $) "\\spad{nullity(m)} returns the nullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| (($ $) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.")) (/ (($ $ |#2|) "\\spad{m/r} divides the elements of \\spad{m} by \\spad{r}. Error: if \\spad{r = 0}.")) (|exquo| (((|Union| $ "failed") $ |#2|) "\\spad{exquo(m,r)} computes the exact quotient of the elements of \\spad{m} by \\spad{r},{} returning \\axiom{\"failed\"} if this is not possible.")) (** (($ $ (|Integer|)) "\\spad{m**n} computes an integral power of the matrix \\spad{m}. Error: if matrix is not square or if the matrix is square but not invertible.") (($ $ (|NonNegativeInteger|)) "\\spad{x ** n} computes a non-negative integral power of the matrix \\spad{x}. Error: if the matrix is not square.")) (* ((|#3| |#3| $) "\\spad{r * x} is the product of the row vector \\spad{r} and the matrix \\spad{x}. Error: if the dimensions are incompatible.") ((|#4| $ |#4|) "\\spad{x * c} is the product of the matrix \\spad{x} and the column vector \\spad{c}. Error: if the dimensions are incompatible.") (($ (|Integer|) $) "\\spad{n * x} is an integer multiple.") (($ $ |#2|) "\\spad{x * r} is the right scalar multiple of the scalar \\spad{r} and the matrix \\spad{x}.") (($ |#2| $) "\\spad{r*x} is the left scalar multiple of the scalar \\spad{r} and the matrix \\spad{x}.") (($ $ $) "\\spad{x * y} is the product of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (- (($ $) "\\spad{-x} returns the negative of the matrix \\spad{x}.") (($ $ $) "\\spad{x - y} is the difference of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (+ (($ $ $) "\\spad{x + y} is the sum of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (|setsubMatrix!| (($ $ (|Integer|) (|Integer|) $) "\\spad{setsubMatrix(x,i1,j1,y)} destructively alters the matrix \\spad{x}. Here \\spad{x(i,j)} is set to \\spad{y(i-i1+1,j-j1+1)} for \\spad{i = i1,...,i1-1+nrows y} and \\spad{j = j1,...,j1-1+ncols y}.")) (|subMatrix| (($ $ (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{subMatrix(x,i1,i2,j1,j2)} extracts the submatrix \\spad{[x(i,j)]} where the index \\spad{i} ranges from \\spad{i1} to \\spad{i2} and the index \\spad{j} ranges from \\spad{j1} to \\spad{j2}.")) (|swapColumns!| (($ $ (|Integer|) (|Integer|)) "\\spad{swapColumns!(m,i,j)} interchanges the \\spad{i}th and \\spad{j}th columns of \\spad{m}. This destructively alters the matrix.")) (|swapRows!| (($ $ (|Integer|) (|Integer|)) "\\spad{swapRows!(m,i,j)} interchanges the \\spad{i}th and \\spad{j}th rows of \\spad{m}. This destructively alters the matrix.")) (|setelt| (($ $ (|List| (|Integer|)) (|List| (|Integer|)) $) "\\spad{setelt(x,rowList,colList,y)} destructively alters the matrix \\spad{x}. If \\spad{y} is \\spad{m}-by-\\spad{n},{} \\spad{rowList = [i<1>,i<2>,...,i<m>]} and \\spad{colList = [j<1>,j<2>,...,j<n>]},{} then \\spad{x(i<k>,j<l>)} is set to \\spad{y(k,l)} for \\spad{k = 1,...,m} and \\spad{l = 1,...,n}.")) (|elt| (($ $ (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{elt(x,rowList,colList)} returns an \\spad{m}-by-\\spad{n} matrix consisting of elements of \\spad{x},{} where \\spad{m = \\# rowList} and \\spad{n = \\# colList}. If \\spad{rowList = [i<1>,i<2>,...,i<m>]} and \\spad{colList = [j<1>,j<2>,...,j<n>]},{} then the \\spad{(k,l)}th entry of \\spad{elt(x,rowList,colList)} is \\spad{x(i<k>,j<l>)}.")) (|listOfLists| (((|List| (|List| |#2|)) $) "\\spad{listOfLists(m)} returns the rows of the matrix \\spad{m} as a list of lists.")) (|vertConcat| (($ $ $) "\\spad{vertConcat(x,y)} vertically concatenates two matrices with an equal number of columns. The entries of \\spad{y} appear below of the entries of \\spad{x}. Error: if the matrices do not have the same number of columns.")) (|horizConcat| (($ $ $) "\\spad{horizConcat(x,y)} horizontally concatenates two matrices with an equal number of rows. The entries of \\spad{y} appear to the right of the entries of \\spad{x}. Error: if the matrices do not have the same number of rows.")) (|squareTop| (($ $) "\\spad{squareTop(m)} returns an \\spad{n}-by-\\spad{n} matrix consisting of the first \\spad{n} rows of the \\spad{m}-by-\\spad{n} matrix \\spad{m}. Error: if \\spad{m < n}.")) (|transpose| (($ $) "\\spad{transpose(m)} returns the transpose of the matrix \\spad{m}.") (($ |#3|) "\\spad{transpose(r)} converts the row \\spad{r} to a row matrix.")) (|coerce| (($ |#4|) "\\spad{coerce(col)} converts the column \\spad{col} to a column matrix.")) (|diagonalMatrix| (($ (|List| $)) "\\spad{diagonalMatrix([m1,...,mk])} creates a block diagonal matrix \\spad{M} with block matrices {\\em m1},{}...,{}{\\em mk} down the diagonal,{} with 0 block matrices elsewhere. More precisly: if \\spad{ri := nrows mi},{} \\spad{ci := ncols mi},{} then \\spad{m} is an (\\spad{r1+}..\\spad{+rk}) by (\\spad{c1+}..\\spad{+ck}) - matrix with entries \\spad{m.i.j = ml.(i-r1-..-r(l-1)).(j-n1-..-n(l-1))},{} if \\spad{(r1+..+r(l-1)) < i <= r1+..+rl} and \\spad{(c1+..+c(l-1)) < i <= c1+..+cl},{} \\spad{m.i.j} = 0 otherwise.") (($ (|List| |#2|)) "\\spad{diagonalMatrix(l)} returns a diagonal matrix with the elements of \\spad{l} on the diagonal.")) (|scalarMatrix| (($ (|NonNegativeInteger|) |#2|) "\\spad{scalarMatrix(n,r)} returns an \\spad{n}-by-\\spad{n} matrix with \\spad{r}\\spad{'s} on the diagonal and zeroes elsewhere.")) (|matrix| (($ (|NonNegativeInteger|) (|NonNegativeInteger|) (|Mapping| |#2| (|Integer|) (|Integer|))) "\\spad{matrix(n,m,f)} construcys and \\spad{n * m} matrix with the \\spad{(i,j)} entry equal to \\spad{f(i,j)}.") (($ (|List| (|List| |#2|))) "\\spad{matrix(l)} converts the list of lists \\spad{l} to a matrix,{} where the list of lists is viewed as a list of the rows of the matrix.")) (|zero| (($ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{zero(m,n)} returns an \\spad{m}-by-\\spad{n} zero matrix.")) (|antisymmetric?| (((|Boolean|) $) "\\spad{antisymmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and antisymmetric (\\spadignore{i.e.} \\spad{m[i,j] = -m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|symmetric?| (((|Boolean|) $) "\\spad{symmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and symmetric (\\spadignore{i.e.} \\spad{m[i,j] = m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|diagonal?| (((|Boolean|) $) "\\spad{diagonal?(m)} returns \\spad{true} if the matrix \\spad{m} is square and diagonal (\\spadignore{i.e.} all entries of \\spad{m} not on the diagonal are zero) and \\spad{false} otherwise.")) (|square?| (((|Boolean|) $) "\\spad{square?(m)} returns \\spad{true} if \\spad{m} is a square matrix (\\spadignore{i.e.} if \\spad{m} has the same number of rows as columns) and \\spad{false} otherwise.")) (|finiteAggregate| ((|attribute|) "matrices are finite")) (|shallowlyMutable| ((|attribute|) "One may destructively alter matrices"))) NIL ((|HasAttribute| |#2| (QUOTE (-4464 "*"))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-568)))) (-699 R |Row| |Col|) -((|constructor| (NIL "\\spadtype{MatrixCategory} is a general matrix category which allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and colums returned as objects of type Col. A domain belonging to this category will be shallowly mutable. The index of the 'first' row may be obtained by calling the function \\spadfun{minRowIndex}. The index of the 'first' column may be obtained by calling the function \\spadfun{minColIndex}. The index of the first element of a Row is the same as the index of the first column in a matrix and vice versa.")) (|inverse| (((|Union| $ "failed") $) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|minordet| ((|#1| $) "\\spad{minordet(m)} computes the determinant of the matrix \\spad{m} using minors. Error: if the matrix is not square.")) (|determinant| ((|#1| $) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}. Error: if the matrix is not square.")) (|nullSpace| (((|List| |#3|) $) "\\spad{nullSpace(m)} returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) $) "\\spad{nullity(m)} returns the nullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| (($ $) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.")) (/ (($ $ |#1|) "\\spad{m/r} divides the elements of \\spad{m} by \\spad{r}. Error: if \\spad{r = 0}.")) (|exquo| (((|Union| $ "failed") $ |#1|) "\\spad{exquo(m,r)} computes the exact quotient of the elements of \\spad{m} by \\spad{r},{} returning \\axiom{\"failed\"} if this is not possible.")) (** (($ $ (|Integer|)) "\\spad{m**n} computes an integral power of the matrix \\spad{m}. Error: if matrix is not square or if the matrix is square but not invertible.") (($ $ (|NonNegativeInteger|)) "\\spad{x ** n} computes a non-negative integral power of the matrix \\spad{x}. Error: if the matrix is not square.")) (* ((|#2| |#2| $) "\\spad{r * x} is the product of the row vector \\spad{r} and the matrix \\spad{x}. Error: if the dimensions are incompatible.") ((|#3| $ |#3|) "\\spad{x * c} is the product of the matrix \\spad{x} and the column vector \\spad{c}. Error: if the dimensions are incompatible.") (($ (|Integer|) $) "\\spad{n * x} is an integer multiple.") (($ $ |#1|) "\\spad{x * r} is the right scalar multiple of the scalar \\spad{r} and the matrix \\spad{x}.") (($ |#1| $) "\\spad{r*x} is the left scalar multiple of the scalar \\spad{r} and the matrix \\spad{x}.") (($ $ $) "\\spad{x * y} is the product of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (- (($ $) "\\spad{-x} returns the negative of the matrix \\spad{x}.") (($ $ $) "\\spad{x - y} is the difference of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (+ (($ $ $) "\\spad{x + y} is the sum of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (|setsubMatrix!| (($ $ (|Integer|) (|Integer|) $) "\\spad{setsubMatrix(x,i1,j1,y)} destructively alters the matrix \\spad{x}. Here \\spad{x(i,j)} is set to \\spad{y(i-i1+1,j-j1+1)} for \\spad{i = i1,...,i1-1+nrows y} and \\spad{j = j1,...,j1-1+ncols y}.")) (|subMatrix| (($ $ (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{subMatrix(x,i1,i2,j1,j2)} extracts the submatrix \\spad{[x(i,j)]} where the index \\spad{i} ranges from \\spad{i1} to \\spad{i2} and the index \\spad{j} ranges from \\spad{j1} to \\spad{j2}.")) (|swapColumns!| (($ $ (|Integer|) (|Integer|)) "\\spad{swapColumns!(m,i,j)} interchanges the \\spad{i}th and \\spad{j}th columns of \\spad{m}. This destructively alters the matrix.")) (|swapRows!| (($ $ (|Integer|) (|Integer|)) "\\spad{swapRows!(m,i,j)} interchanges the \\spad{i}th and \\spad{j}th rows of \\spad{m}. This destructively alters the matrix.")) (|setelt| (($ $ (|List| (|Integer|)) (|List| (|Integer|)) $) "\\spad{setelt(x,rowList,colList,y)} destructively alters the matrix \\spad{x}. If \\spad{y} is \\spad{m}-by-\\spad{n},{} \\spad{rowList = [i<1>,i<2>,...,i<m>]} and \\spad{colList = [j<1>,j<2>,...,j<n>]},{} then \\spad{x(i<k>,j<l>)} is set to \\spad{y(k,l)} for \\spad{k = 1,...,m} and \\spad{l = 1,...,n}.")) (|elt| (($ $ (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{elt(x,rowList,colList)} returns an \\spad{m}-by-\\spad{n} matrix consisting of elements of \\spad{x},{} where \\spad{m = \\# rowList} and \\spad{n = \\# colList}. If \\spad{rowList = [i<1>,i<2>,...,i<m>]} and \\spad{colList = [j<1>,j<2>,...,j<n>]},{} then the \\spad{(k,l)}th entry of \\spad{elt(x,rowList,colList)} is \\spad{x(i<k>,j<l>)}.")) (|listOfLists| (((|List| (|List| |#1|)) $) "\\spad{listOfLists(m)} returns the rows of the matrix \\spad{m} as a list of lists.")) (|vertConcat| (($ $ $) "\\spad{vertConcat(x,y)} vertically concatenates two matrices with an equal number of columns. The entries of \\spad{y} appear below of the entries of \\spad{x}. Error: if the matrices do not have the same number of columns.")) (|horizConcat| (($ $ $) "\\spad{horizConcat(x,y)} horizontally concatenates two matrices with an equal number of rows. The entries of \\spad{y} appear to the right of the entries of \\spad{x}. Error: if the matrices do not have the same number of rows.")) (|squareTop| (($ $) "\\spad{squareTop(m)} returns an \\spad{n}-by-\\spad{n} matrix consisting of the first \\spad{n} rows of the \\spad{m}-by-\\spad{n} matrix \\spad{m}. Error: if \\spad{m < n}.")) (|transpose| (($ $) "\\spad{transpose(m)} returns the transpose of the matrix \\spad{m}.") (($ |#2|) "\\spad{transpose(r)} converts the row \\spad{r} to a row matrix.")) (|coerce| (($ |#3|) "\\spad{coerce(col)} converts the column \\spad{col} to a column matrix.")) (|diagonalMatrix| (($ (|List| $)) "\\spad{diagonalMatrix([m1,...,mk])} creates a block diagonal matrix \\spad{M} with block matrices {\\em m1},{}...,{}{\\em mk} down the diagonal,{} with 0 block matrices elsewhere. More precisly: if \\spad{ri := nrows mi},{} \\spad{ci := ncols mi},{} then \\spad{m} is an (\\spad{r1+}..\\spad{+rk}) by (\\spad{c1+}..\\spad{+ck}) - matrix with entries \\spad{m.i.j = ml.(i-r1-..-r(l-1)).(j-n1-..-n(l-1))},{} if \\spad{(r1+..+r(l-1)) < i <= r1+..+rl} and \\spad{(c1+..+c(l-1)) < i <= c1+..+cl},{} \\spad{m.i.j} = 0 otherwise.") (($ (|List| |#1|)) "\\spad{diagonalMatrix(l)} returns a diagonal matrix with the elements of \\spad{l} on the diagonal.")) (|scalarMatrix| (($ (|NonNegativeInteger|) |#1|) "\\spad{scalarMatrix(n,r)} returns an \\spad{n}-by-\\spad{n} matrix with \\spad{r}\\spad{'s} on the diagonal and zeroes elsewhere.")) (|matrix| (($ (|List| (|List| |#1|))) "\\spad{matrix(l)} converts the list of lists \\spad{l} to a matrix,{} where the list of lists is viewed as a list of the rows of the matrix.")) (|zero| (($ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{zero(m,n)} returns an \\spad{m}-by-\\spad{n} zero matrix.")) (|antisymmetric?| (((|Boolean|) $) "\\spad{antisymmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and antisymmetric (\\spadignore{i.e.} \\spad{m[i,j] = -m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|symmetric?| (((|Boolean|) $) "\\spad{symmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and symmetric (\\spadignore{i.e.} \\spad{m[i,j] = m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|diagonal?| (((|Boolean|) $) "\\spad{diagonal?(m)} returns \\spad{true} if the matrix \\spad{m} is square and diagonal (\\spadignore{i.e.} all entries of \\spad{m} not on the diagonal are zero) and \\spad{false} otherwise.")) (|square?| (((|Boolean|) $) "\\spad{square?(m)} returns \\spad{true} if \\spad{m} is a square matrix (\\spadignore{i.e.} if \\spad{m} has the same number of rows as columns) and \\spad{false} otherwise.")) (|finiteAggregate| ((|attribute|) "matrices are finite")) (|shallowlyMutable| ((|attribute|) "One may destructively alter matrices"))) +((|constructor| (NIL "\\spadtype{MatrixCategory} is a general matrix category which allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and colums returned as objects of type Col. A domain belonging to this category will be shallowly mutable. The index of the 'first' row may be obtained by calling the function \\spadfun{minRowIndex}. The index of the 'first' column may be obtained by calling the function \\spadfun{minColIndex}. The index of the first element of a Row is the same as the index of the first column in a matrix and vice versa.")) (|inverse| (((|Union| $ "failed") $) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|minordet| ((|#1| $) "\\spad{minordet(m)} computes the determinant of the matrix \\spad{m} using minors. Error: if the matrix is not square.")) (|determinant| ((|#1| $) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}. Error: if the matrix is not square.")) (|nullSpace| (((|List| |#3|) $) "\\spad{nullSpace(m)} returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) $) "\\spad{nullity(m)} returns the nullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| (($ $) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.")) (/ (($ $ |#1|) "\\spad{m/r} divides the elements of \\spad{m} by \\spad{r}. Error: if \\spad{r = 0}.")) (|exquo| (((|Union| $ "failed") $ |#1|) "\\spad{exquo(m,r)} computes the exact quotient of the elements of \\spad{m} by \\spad{r},{} returning \\axiom{\"failed\"} if this is not possible.")) (** (($ $ (|Integer|)) "\\spad{m**n} computes an integral power of the matrix \\spad{m}. Error: if matrix is not square or if the matrix is square but not invertible.") (($ $ (|NonNegativeInteger|)) "\\spad{x ** n} computes a non-negative integral power of the matrix \\spad{x}. Error: if the matrix is not square.")) (* ((|#2| |#2| $) "\\spad{r * x} is the product of the row vector \\spad{r} and the matrix \\spad{x}. Error: if the dimensions are incompatible.") ((|#3| $ |#3|) "\\spad{x * c} is the product of the matrix \\spad{x} and the column vector \\spad{c}. Error: if the dimensions are incompatible.") (($ (|Integer|) $) "\\spad{n * x} is an integer multiple.") (($ $ |#1|) "\\spad{x * r} is the right scalar multiple of the scalar \\spad{r} and the matrix \\spad{x}.") (($ |#1| $) "\\spad{r*x} is the left scalar multiple of the scalar \\spad{r} and the matrix \\spad{x}.") (($ $ $) "\\spad{x * y} is the product of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (- (($ $) "\\spad{-x} returns the negative of the matrix \\spad{x}.") (($ $ $) "\\spad{x - y} is the difference of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (+ (($ $ $) "\\spad{x + y} is the sum of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (|setsubMatrix!| (($ $ (|Integer|) (|Integer|) $) "\\spad{setsubMatrix(x,i1,j1,y)} destructively alters the matrix \\spad{x}. Here \\spad{x(i,j)} is set to \\spad{y(i-i1+1,j-j1+1)} for \\spad{i = i1,...,i1-1+nrows y} and \\spad{j = j1,...,j1-1+ncols y}.")) (|subMatrix| (($ $ (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{subMatrix(x,i1,i2,j1,j2)} extracts the submatrix \\spad{[x(i,j)]} where the index \\spad{i} ranges from \\spad{i1} to \\spad{i2} and the index \\spad{j} ranges from \\spad{j1} to \\spad{j2}.")) (|swapColumns!| (($ $ (|Integer|) (|Integer|)) "\\spad{swapColumns!(m,i,j)} interchanges the \\spad{i}th and \\spad{j}th columns of \\spad{m}. This destructively alters the matrix.")) (|swapRows!| (($ $ (|Integer|) (|Integer|)) "\\spad{swapRows!(m,i,j)} interchanges the \\spad{i}th and \\spad{j}th rows of \\spad{m}. This destructively alters the matrix.")) (|setelt| (($ $ (|List| (|Integer|)) (|List| (|Integer|)) $) "\\spad{setelt(x,rowList,colList,y)} destructively alters the matrix \\spad{x}. If \\spad{y} is \\spad{m}-by-\\spad{n},{} \\spad{rowList = [i<1>,i<2>,...,i<m>]} and \\spad{colList = [j<1>,j<2>,...,j<n>]},{} then \\spad{x(i<k>,j<l>)} is set to \\spad{y(k,l)} for \\spad{k = 1,...,m} and \\spad{l = 1,...,n}.")) (|elt| (($ $ (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{elt(x,rowList,colList)} returns an \\spad{m}-by-\\spad{n} matrix consisting of elements of \\spad{x},{} where \\spad{m = \\# rowList} and \\spad{n = \\# colList}. If \\spad{rowList = [i<1>,i<2>,...,i<m>]} and \\spad{colList = [j<1>,j<2>,...,j<n>]},{} then the \\spad{(k,l)}th entry of \\spad{elt(x,rowList,colList)} is \\spad{x(i<k>,j<l>)}.")) (|listOfLists| (((|List| (|List| |#1|)) $) "\\spad{listOfLists(m)} returns the rows of the matrix \\spad{m} as a list of lists.")) (|vertConcat| (($ $ $) "\\spad{vertConcat(x,y)} vertically concatenates two matrices with an equal number of columns. The entries of \\spad{y} appear below of the entries of \\spad{x}. Error: if the matrices do not have the same number of columns.")) (|horizConcat| (($ $ $) "\\spad{horizConcat(x,y)} horizontally concatenates two matrices with an equal number of rows. The entries of \\spad{y} appear to the right of the entries of \\spad{x}. Error: if the matrices do not have the same number of rows.")) (|squareTop| (($ $) "\\spad{squareTop(m)} returns an \\spad{n}-by-\\spad{n} matrix consisting of the first \\spad{n} rows of the \\spad{m}-by-\\spad{n} matrix \\spad{m}. Error: if \\spad{m < n}.")) (|transpose| (($ $) "\\spad{transpose(m)} returns the transpose of the matrix \\spad{m}.") (($ |#2|) "\\spad{transpose(r)} converts the row \\spad{r} to a row matrix.")) (|coerce| (($ |#3|) "\\spad{coerce(col)} converts the column \\spad{col} to a column matrix.")) (|diagonalMatrix| (($ (|List| $)) "\\spad{diagonalMatrix([m1,...,mk])} creates a block diagonal matrix \\spad{M} with block matrices {\\em m1},{}...,{}{\\em mk} down the diagonal,{} with 0 block matrices elsewhere. More precisly: if \\spad{ri := nrows mi},{} \\spad{ci := ncols mi},{} then \\spad{m} is an (\\spad{r1+}..\\spad{+rk}) by (\\spad{c1+}..\\spad{+ck}) - matrix with entries \\spad{m.i.j = ml.(i-r1-..-r(l-1)).(j-n1-..-n(l-1))},{} if \\spad{(r1+..+r(l-1)) < i <= r1+..+rl} and \\spad{(c1+..+c(l-1)) < i <= c1+..+cl},{} \\spad{m.i.j} = 0 otherwise.") (($ (|List| |#1|)) "\\spad{diagonalMatrix(l)} returns a diagonal matrix with the elements of \\spad{l} on the diagonal.")) (|scalarMatrix| (($ (|NonNegativeInteger|) |#1|) "\\spad{scalarMatrix(n,r)} returns an \\spad{n}-by-\\spad{n} matrix with \\spad{r}\\spad{'s} on the diagonal and zeroes elsewhere.")) (|matrix| (($ (|NonNegativeInteger|) (|NonNegativeInteger|) (|Mapping| |#1| (|Integer|) (|Integer|))) "\\spad{matrix(n,m,f)} construcys and \\spad{n * m} matrix with the \\spad{(i,j)} entry equal to \\spad{f(i,j)}.") (($ (|List| (|List| |#1|))) "\\spad{matrix(l)} converts the list of lists \\spad{l} to a matrix,{} where the list of lists is viewed as a list of the rows of the matrix.")) (|zero| (($ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{zero(m,n)} returns an \\spad{m}-by-\\spad{n} zero matrix.")) (|antisymmetric?| (((|Boolean|) $) "\\spad{antisymmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and antisymmetric (\\spadignore{i.e.} \\spad{m[i,j] = -m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|symmetric?| (((|Boolean|) $) "\\spad{symmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and symmetric (\\spadignore{i.e.} \\spad{m[i,j] = m[j,i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|diagonal?| (((|Boolean|) $) "\\spad{diagonal?(m)} returns \\spad{true} if the matrix \\spad{m} is square and diagonal (\\spadignore{i.e.} all entries of \\spad{m} not on the diagonal are zero) and \\spad{false} otherwise.")) (|square?| (((|Boolean|) $) "\\spad{square?(m)} returns \\spad{true} if \\spad{m} is a square matrix (\\spadignore{i.e.} if \\spad{m} has the same number of rows as columns) and \\spad{false} otherwise.")) (|finiteAggregate| ((|attribute|) "matrices are finite")) (|shallowlyMutable| ((|attribute|) "One may destructively alter matrices"))) ((-4462 . T) (-4463 . T)) NIL (-700 R |Row| |Col| M) @@ -2744,7 +2744,7 @@ NIL ((|constructor| (NIL "This domain implements the notion of optional value,{} where a computation may fail to produce expected value.")) (|nothing| (($) "\\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 -(-704 S -1967 FLAF FLAS) +(-704 S -1966 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 @@ -2768,7 +2768,7 @@ 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 -(-710 OV E -1967 PG) +(-710 OV E -1966 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 @@ -2820,7 +2820,7 @@ NIL ((|constructor| (NIL "\\spadtype{MathMLFormat} provides a coercion from \\spadtype{OutputForm} to MathML format.")) (|display| (((|Void|) (|String|)) "prints the string returned by coerce,{} adding <math ...> tags.")) (|exprex| (((|String|) (|OutputForm|)) "coverts \\spadtype{OutputForm} to \\spadtype{String} with the structure preserved with braces. Actually this is not quite accurate. The function \\spadfun{precondition} is first applied to the \\spadtype{OutputForm} expression before \\spadfun{exprex}. The raw \\spadtype{OutputForm} and the nature of the \\spadfun{precondition} function is still obscure to me at the time of this writing (2007-02-14).")) (|coerceL| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format and displays result as one long string.")) (|coerceS| (((|String|) (|OutputForm|)) "\\spad{coerceS(o)} changes \\spad{o} in the standard output format to MathML format and displays formatted result.")) (|coerce| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format."))) NIL NIL -(-723 R |Mod| -2679 -4168 |exactQuo|) +(-723 R |Mod| -3046 -1512 |exactQuo|) ((|constructor| (NIL "\\indented{1}{These domains are used for the factorization and gcds} of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{ModularRing},{} \\spadtype{EuclideanModularRing}")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,y)} \\undocumented")) (|reduce| (($ |#1| |#2|) "\\spad{reduce(r,m)} \\undocumented")) (|coerce| ((|#1| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#2| $) "\\spad{modulus(x)} \\undocumented"))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) NIL @@ -2836,7 +2836,7 @@ NIL ((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#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| (($ $ $) "\\spad{adjoint(op1, op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) ((-4457 |has| |#1| (-174)) (-4456 |has| |#1| (-174)) (-4459 . T)) ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148)))) -(-727 R |Mod| -2679 -4168 |exactQuo|) +(-727 R |Mod| -3046 -1512 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\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"))) ((-4459 . T)) NIL @@ -2848,7 +2848,7 @@ NIL ((|constructor| (NIL "The category of modules over a commutative ring. \\blankline"))) ((-4457 . T) (-4456 . T)) NIL -(-730 -1967) +(-730 -1966) ((|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]]}."))) ((-4459 . T)) NIL @@ -2884,7 +2884,7 @@ 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 -(-739 -1967 UP) +(-739 -1966 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 @@ -3036,11 +3036,11 @@ 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 -(-777 -1967) +(-777 -1966) ((|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 -(-778 P -1967) +(-778 P -1966) ((|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 @@ -3048,7 +3048,7 @@ NIL NIL NIL NIL -(-780 UP -1967) +(-780 UP -1966) ((|constructor| (NIL "In this package \\spad{F} is a framed algebra over the integers (typically \\spad{F = Z[a]} for some algebraic integer a). The package provides functions to compute the integral closure of \\spad{Z} in the quotient quotient field of \\spad{F}.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| (|Integer|))) (|:| |basisDen| (|Integer|)) (|:| |basisInv| (|Matrix| (|Integer|)))) (|Integer|)) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the local integral closure of \\spad{Z} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{Z}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| (|Integer|))) (|:| |basisDen| (|Integer|)) (|:| |basisInv| (|Matrix| (|Integer|))))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the integral closure of \\spad{Z} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{Z}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|discriminant| (((|Integer|)) "\\spad{discriminant()} returns the discriminant of the integral closure of \\spad{Z} in the quotient field of the framed algebra \\spad{F}."))) NIL NIL @@ -3064,7 +3064,7 @@ 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."))) (((-4464 "*") . T)) NIL -(-784 R -1967) +(-784 R -1966) ((|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 @@ -3084,7 +3084,7 @@ 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 -(-789 -1967 |ExtF| |SUEx| |ExtP| |n|) +(-789 -1966 |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 @@ -3180,11 +3180,11 @@ 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 -(-813 R -1967 L) +(-813 R -1966 L) ((|constructor| (NIL "Solution of linear ordinary differential equations,{} constant coefficient case.")) (|constDsolve| (((|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Symbol|)) "\\spad{constDsolve(op, g, x)} returns \\spad{[f, [y1,...,ym]]} where \\spad{f} is a particular solution of the equation \\spad{op y = g},{} and the \\spad{yi}\\spad{'s} form a basis for the solutions of \\spad{op y = 0}."))) NIL NIL -(-814 R -1967) +(-814 R -1966) ((|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 @@ -3192,7 +3192,7 @@ 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 -(-816 R -1967) +(-816 R -1966) ((|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 @@ -3200,11 +3200,11 @@ 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 -(-818 -1967 UP UPUP R) +(-818 -1966 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 -(-819 -1967 UP L LQ) +(-819 -1966 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 @@ -3212,27 +3212,27 @@ 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 -(-821 -1967 UP L LQ) +(-821 -1966 UP L LQ) ((|constructor| (NIL "In-field solution of Riccati equations,{} primitive case.")) (|changeVar| ((|#3| |#3| (|Fraction| |#2|)) "\\spad{changeVar(+/[ai D^i], a)} returns the operator \\spad{+/[ai (D+a)^i]}.") ((|#3| |#3| |#2|) "\\spad{changeVar(+/[ai D^i], a)} returns the operator \\spad{+/[ai (D+a)^i]}.")) (|singRicDE| (((|List| (|Record| (|:| |frac| (|Fraction| |#2|)) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{singRicDE(op, zeros, ezfactor)} returns \\spad{[[f1, L1], [f2, L2], ... , [fk, Lk]]} such that the singular part of any rational solution of the associated Riccati equation of \\spad{op y=0} must be one of the \\spad{fi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z=y e^{-int p}} is \\spad{Li z=0}. \\spad{zeros(C(x),H(x,y))} returns all the \\spad{P_i(x)}\\spad{'s} such that \\spad{H(x,P_i(x)) = 0 modulo C(x)}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.")) (|polyRicDE| (((|List| (|Record| (|:| |poly| |#2|) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#1|) |#2|)) "\\spad{polyRicDE(op, zeros)} returns \\spad{[[p1, L1], [p2, L2], ... , [pk, Lk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y=0} must be one of the \\spad{pi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z=y e^{-int p}} is \\spad{Li z =0}. \\spad{zeros} is a zero finder in \\spad{UP}.")) (|constantCoefficientRicDE| (((|List| (|Record| (|:| |constant| |#1|) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#1|) |#2|)) "\\spad{constantCoefficientRicDE(op, ric)} returns \\spad{[[a1, L1], [a2, L2], ... , [ak, Lk]]} such that any rational solution with no polynomial part of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{ai}\\spad{'s} in which case the equation for \\spad{z = y e^{-int ai}} is \\spad{Li z = 0}. \\spad{ric} is a Riccati equation solver over \\spad{F},{} whose input is the associated linear equation.")) (|leadingCoefficientRicDE| (((|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |eq| |#2|))) |#3|) "\\spad{leadingCoefficientRicDE(op)} returns \\spad{[[m1, p1], [m2, p2], ... , [mk, pk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must have degree \\spad{mj} for some \\spad{j},{} and its leading coefficient is then a zero of \\spad{pj}. In addition,{}\\spad{m1>m2> ... >mk}.")) (|denomRicDE| ((|#2| |#3|) "\\spad{denomRicDE(op)} returns a polynomial \\spad{d} such that any rational solution of the associated Riccati equation of \\spad{op y = 0} is of the form \\spad{p/d + q'/q + r} for some polynomials \\spad{p} and \\spad{q} and a reduced \\spad{r}. Also,{} \\spad{deg(p) < deg(d)} and {\\spad{gcd}(\\spad{d},{}\\spad{q}) = 1}."))) NIL NIL -(-822 -1967 UP) +(-822 -1966 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 -(-823 -1967 L UP A LO) +(-823 -1966 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 -(-824 -1967 UP) +(-824 -1966 UP) ((|constructor| (NIL "In-field solution of Riccati equations,{} rational case.")) (|polyRicDE| (((|List| (|Record| (|:| |poly| |#2|) (|:| |eq| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{polyRicDE(op, zeros)} returns \\spad{[[p1, L1], [p2, L2], ... , [pk,Lk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{pi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z = y e^{-int p}} is \\spad{Li z = 0}. \\spad{zeros} is a zero finder in \\spad{UP}.")) (|singRicDE| (((|List| (|Record| (|:| |frac| (|Fraction| |#2|)) (|:| |eq| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{singRicDE(op, ezfactor)} returns \\spad{[[f1,L1], [f2,L2],..., [fk,Lk]]} such that the singular \\spad{++} part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{fi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z = y e^{-int ai}} is \\spad{Li z = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.")) (|ricDsolve| (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))) "\\spad{ricDsolve(op)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{ricDsolve(op)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, zeros, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{ricDsolve(op, zeros)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, zeros, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{ricDsolve(op, zeros)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}."))) NIL ((|HasCategory| |#1| (QUOTE (-27)))) -(-825 -1967 LO) +(-825 -1966 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 -(-826 -1967 LODO) +(-826 -1966 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(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(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 @@ -3572,7 +3572,7 @@ 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 -(-911 UP -1967) +(-911 UP -1966) ((|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 @@ -3640,7 +3640,7 @@ 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."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) ((|HasCategory| $ (QUOTE (-148))) (|HasCategory| $ (QUOTE (-146))) (|HasCategory| $ (QUOTE (-379)))) -(-928 R0 -1967 UP UPUP R) +(-928 R0 -1966 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 @@ -3668,7 +3668,7 @@ NIL ((|constructor| (NIL "PermutationGroupExamples provides permutation groups for some classes of groups: symmetric,{} alternating,{} dihedral,{} cyclic,{} direct products of cyclic,{} which are in fact the finite abelian groups of symmetric groups called Young subgroups. Furthermore,{} Rubik\\spad{'s} group as permutation group of 48 integers and a list of sporadic simple groups derived from the atlas of finite groups.")) (|youngGroup| (((|PermutationGroup| (|Integer|)) (|Partition|)) "\\spad{youngGroup(lambda)} constructs the direct product of the symmetric groups given by the parts of the partition {\\em lambda}.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{youngGroup([n1,...,nk])} constructs the direct product of the symmetric groups {\\em Sn1},{}...,{}{\\em Snk}.")) (|rubiksGroup| (((|PermutationGroup| (|Integer|))) "\\spad{rubiksGroup constructs} the permutation group representing Rubic\\spad{'s} Cube acting on integers {\\em 10*i+j} for {\\em 1 <= i <= 6},{} {\\em 1 <= j <= 8}. The faces of Rubik\\spad{'s} Cube are labelled in the obvious way Front,{} Right,{} Up,{} Down,{} Left,{} Back and numbered from 1 to 6 in this given ordering,{} the pieces on each face (except the unmoveable center piece) are clockwise numbered from 1 to 8 starting with the piece in the upper left corner. The moves of the cube are represented as permutations on these pieces,{} represented as a two digit integer {\\em ij} where \\spad{i} is the numer of theface (1 to 6) and \\spad{j} is the number of the piece on this face. The remaining ambiguities are resolved by looking at the 6 generators,{} which represent a 90 degree turns of the faces,{} or from the following pictorial description. Permutation group representing Rubic\\spad{'s} Cube acting on integers 10*i+j for 1 \\spad{<=} \\spad{i} \\spad{<=} 6,{} 1 \\spad{<=} \\spad{j} \\spad{<=8}. \\blankline\\begin{verbatim}Rubik's Cube: +-----+ +-- B where: marks Side # : / U /|/ / / | F(ront) <-> 1 L --> +-----+ R| R(ight) <-> 2 | | + U(p) <-> 3 | F | / D(own) <-> 4 | |/ L(eft) <-> 5 +-----+ B(ack) <-> 6 ^ | DThe Cube's surface: The pieces on each side +---+ (except the unmoveable center |567| piece) are clockwise numbered |4U8| from 1 to 8 starting with the |321| piece in the upper left +---+---+---+ corner (see figure on the |781|123|345| left). The moves of the cube |6L2|8F4|2R6| are represented as |543|765|187| permutations on these pieces. +---+---+---+ Each of the pieces is |123| represented as a two digit |8D4| integer ij where i is the |765| # of the side ( 1 to 6 for +---+ F to B (see table above )) |567| and j is the # of the piece. |4B8| |321| +---+\\end{verbatim}")) (|janko2| (((|PermutationGroup| (|Integer|))) "\\spad{janko2 constructs} the janko group acting on the integers 1,{}...,{}100.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{janko2(li)} constructs the janko group acting on the 100 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 100 different entries")) (|mathieu24| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu24 constructs} the mathieu group acting on the integers 1,{}...,{}24.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu24(li)} constructs the mathieu group acting on the 24 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 24 different entries.")) (|mathieu23| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu23 constructs} the mathieu group acting on the integers 1,{}...,{}23.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu23(li)} constructs the mathieu group acting on the 23 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 23 different entries.")) (|mathieu22| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu22 constructs} the mathieu group acting on the integers 1,{}...,{}22.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu22(li)} constructs the mathieu group acting on the 22 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 22 different entries.")) (|mathieu12| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu12 constructs} the mathieu group acting on the integers 1,{}...,{}12.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu12(li)} constructs the mathieu group acting on the 12 integers given in the list {\\em li}. Note: duplicates in the list will be removed Error: if {\\em li} has less or more than 12 different entries.")) (|mathieu11| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu11 constructs} the mathieu group acting on the integers 1,{}...,{}11.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu11(li)} constructs the mathieu group acting on the 11 integers given in the list {\\em li}. Note: duplicates in the list will be removed. error,{} if {\\em li} has less or more than 11 different entries.")) (|dihedralGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{dihedralGroup([i1,...,ik])} constructs the dihedral group of order 2k acting on the integers out of {\\em i1},{}...,{}{\\em ik}. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{dihedralGroup(n)} constructs the dihedral group of order 2n acting on integers 1,{}...,{}\\spad{N}.")) (|cyclicGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{cyclicGroup([i1,...,ik])} constructs the cyclic group of order \\spad{k} acting on the integers {\\em i1},{}...,{}{\\em ik}. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{cyclicGroup(n)} constructs the cyclic group of order \\spad{n} acting on the integers 1,{}...,{}\\spad{n}.")) (|abelianGroup| (((|PermutationGroup| (|Integer|)) (|List| (|PositiveInteger|))) "\\spad{abelianGroup([n1,...,nk])} constructs the abelian group that is the direct product of cyclic groups with order {\\em ni}.")) (|alternatingGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{alternatingGroup(li)} constructs the alternating group acting on the integers in the list {\\em li},{} generators are in general the {\\em n-2}-cycle {\\em (li.3,...,li.n)} and the 3-cycle {\\em (li.1,li.2,li.3)},{} if \\spad{n} is odd and product of the 2-cycle {\\em (li.1,li.2)} with {\\em n-2}-cycle {\\em (li.3,...,li.n)} and the 3-cycle {\\em (li.1,li.2,li.3)},{} if \\spad{n} is even. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{alternatingGroup(n)} constructs the alternating group {\\em An} acting on the integers 1,{}...,{}\\spad{n},{} generators are in general the {\\em n-2}-cycle {\\em (3,...,n)} and the 3-cycle {\\em (1,2,3)} if \\spad{n} is odd and the product of the 2-cycle {\\em (1,2)} with {\\em n-2}-cycle {\\em (3,...,n)} and the 3-cycle {\\em (1,2,3)} if \\spad{n} is even.")) (|symmetricGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{symmetricGroup(li)} constructs the symmetric group acting on the integers in the list {\\em li},{} generators are the cycle given by {\\em li} and the 2-cycle {\\em (li.1,li.2)}. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{symmetricGroup(n)} constructs the symmetric group {\\em Sn} acting on the integers 1,{}...,{}\\spad{n},{} generators are the {\\em n}-cycle {\\em (1,...,n)} and the 2-cycle {\\em (1,2)}."))) NIL NIL -(-935 -1967) +(-935 -1966) ((|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 @@ -3684,11 +3684,11 @@ 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}."))) (((-4464 "*") . T)) NIL -(-939 -1967 P) +(-939 -1966 P) ((|constructor| (NIL "This package exports interpolation algorithms")) (|LagrangeInterpolation| ((|#2| (|List| |#1|) (|List| |#1|)) "\\spad{LagrangeInterpolation(l1,l2)} \\undocumented"))) NIL NIL -(-940 |xx| -1967) +(-940 |xx| -1966) ((|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 @@ -3712,7 +3712,7 @@ NIL ((|constructor| (NIL "This package exports plotting tools")) (|calcRanges| (((|List| (|Segment| (|DoubleFloat|))) (|List| (|List| (|Point| (|DoubleFloat|))))) "\\spad{calcRanges(l)} \\undocumented"))) NIL NIL -(-946 R -1967) +(-946 R -1966) ((|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 @@ -3724,7 +3724,7 @@ 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 -(-949 S R -1967) +(-949 S R -1966) ((|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 @@ -3744,7 +3744,7 @@ 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 -899) (|devaluate| |#1|)))) -(-954 R -1967 -1992) +(-954 R -1966 -1992) ((|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 @@ -3796,7 +3796,7 @@ NIL ((|constructor| (NIL "The category for general multi-variate polynomials over a ring \\spad{R},{} in variables from VarSet,{} with exponents from the \\spadtype{OrderedAbelianMonoidSup}.")) (|canonicalUnitNormal| ((|attribute|) "we can choose a unique representative for each associate class. This normalization is chosen to be normalization of leading coefficient (by default).")) (|squareFreePart| (($ $) "\\spad{squareFreePart(p)} returns product of all the irreducible factors of polynomial \\spad{p} each taken with multiplicity one.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(p)} returns the square free factorization of the polynomial \\spad{p}.")) (|primitivePart| (($ $ |#3|) "\\spad{primitivePart(p,v)} returns the unitCanonical associate of the polynomial \\spad{p} with its content with respect to the variable \\spad{v} divided out.") (($ $) "\\spad{primitivePart(p)} returns the unitCanonical associate of the polynomial \\spad{p} with its content divided out.")) (|content| (($ $ |#3|) "\\spad{content(p,v)} is the \\spad{gcd} of the coefficients of the polynomial \\spad{p} when \\spad{p} is viewed as a univariate polynomial with respect to the variable \\spad{v}. Thus,{} for polynomial 7*x**2*y + 14*x*y**2,{} the \\spad{gcd} of the coefficients with respect to \\spad{x} is 7*y.")) (|discriminant| (($ $ |#3|) "\\spad{discriminant(p,v)} returns the disriminant of the polynomial \\spad{p} with respect to the variable \\spad{v}.")) (|resultant| (($ $ $ |#3|) "\\spad{resultant(p,q,v)} returns the resultant of the polynomials \\spad{p} and \\spad{q} with respect to the variable \\spad{v}.")) (|primitiveMonomials| (((|List| $) $) "\\spad{primitiveMonomials(p)} gives the list of monomials of the polynomial \\spad{p} with their coefficients removed. Note: \\spad{primitiveMonomials(sum(a_(i) X^(i))) = [X^(1),...,X^(n)]}.")) (|variables| (((|List| |#3|) $) "\\spad{variables(p)} returns the list of those variables actually appearing in the polynomial \\spad{p}.")) (|totalDegree| (((|NonNegativeInteger|) $ (|List| |#3|)) "\\spad{totalDegree(p, lv)} returns the maximum sum (over all monomials of polynomial \\spad{p}) of the variables in the list \\spad{lv}.") (((|NonNegativeInteger|) $) "\\spad{totalDegree(p)} returns the largest sum over all monomials of all exponents of a monomial.")) (|isExpt| (((|Union| (|Record| (|:| |var| |#3|) (|:| |exponent| (|NonNegativeInteger|))) "failed") $) "\\spad{isExpt(p)} returns \\spad{[x, n]} if polynomial \\spad{p} has the form \\spad{x**n} and \\spad{n > 0}.")) (|isTimes| (((|Union| (|List| $) "failed") $) "\\spad{isTimes(p)} returns \\spad{[a1,...,an]} if polynomial \\spad{p = a1 ... an} and \\spad{n >= 2},{} and,{} for each \\spad{i},{} \\spad{ai} is either a nontrivial constant in \\spad{R} or else of the form \\spad{x**e},{} where \\spad{e > 0} is an integer and \\spad{x} in a member of VarSet.")) (|isPlus| (((|Union| (|List| $) "failed") $) "\\spad{isPlus(p)} returns \\spad{[m1,...,mn]} if polynomial \\spad{p = m1 + ... + mn} and \\spad{n >= 2} and each \\spad{mi} is a nonzero monomial.")) (|multivariate| (($ (|SparseUnivariatePolynomial| $) |#3|) "\\spad{multivariate(sup,v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.") (($ (|SparseUnivariatePolynomial| |#1|) |#3|) "\\spad{multivariate(sup,v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.")) (|monomial| (($ $ (|List| |#3|) (|List| (|NonNegativeInteger|))) "\\spad{monomial(a,[v1..vn],[e1..en])} returns \\spad{a*prod(vi**ei)}.") (($ $ |#3| (|NonNegativeInteger|)) "\\spad{monomial(a,x,n)} creates the monomial \\spad{a*x**n} where \\spad{a} is a polynomial,{} \\spad{x} is a variable and \\spad{n} is a nonnegative integer.")) (|monicDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $ |#3|) "\\spad{monicDivide(a,b,v)} divides the polynomial a by the polynomial \\spad{b},{} with each viewed as a univariate polynomial in \\spad{v} returning both the quotient and remainder. Error: if \\spad{b} is not monic with respect to \\spad{v}.")) (|minimumDegree| (((|List| (|NonNegativeInteger|)) $ (|List| |#3|)) "\\spad{minimumDegree(p, lv)} gives the list of minimum degrees of the polynomial \\spad{p} with respect to each of the variables in the list \\spad{lv}") (((|NonNegativeInteger|) $ |#3|) "\\spad{minimumDegree(p,v)} gives the minimum degree of polynomial \\spad{p} with respect to \\spad{v},{} \\spadignore{i.e.} viewed a univariate polynomial in \\spad{v}")) (|mainVariable| (((|Union| |#3| "failed") $) "\\spad{mainVariable(p)} returns the biggest variable which actually occurs in the polynomial \\spad{p},{} or \"failed\" if no variables are present. fails precisely if polynomial satisfies ground?")) (|univariate| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{univariate(p)} converts the multivariate polynomial \\spad{p},{} which should actually involve only one variable,{} into a univariate polynomial in that variable,{} whose coefficients are in the ground ring. Error: if polynomial is genuinely multivariate") (((|SparseUnivariatePolynomial| $) $ |#3|) "\\spad{univariate(p,v)} converts the multivariate polynomial \\spad{p} into a univariate polynomial in \\spad{v},{} whose coefficients are still multivariate polynomials (in all the other variables).")) (|monomials| (((|List| $) $) "\\spad{monomials(p)} returns the list of non-zero monomials of polynomial \\spad{p},{} \\spadignore{i.e.} \\spad{monomials(sum(a_(i) X^(i))) = [a_(1) X^(1),...,a_(n) X^(n)]}.")) (|coefficient| (($ $ (|List| |#3|) (|List| (|NonNegativeInteger|))) "\\spad{coefficient(p, lv, ln)} views the polynomial \\spad{p} as a polynomial in the variables of \\spad{lv} and returns the coefficient of the term \\spad{lv**ln},{} \\spadignore{i.e.} \\spad{prod(lv_i ** ln_i)}.") (($ $ |#3| (|NonNegativeInteger|)) "\\spad{coefficient(p,v,n)} views the polynomial \\spad{p} as a univariate polynomial in \\spad{v} and returns the coefficient of the \\spad{v**n} term.")) (|degree| (((|List| (|NonNegativeInteger|)) $ (|List| |#3|)) "\\spad{degree(p,lv)} gives the list of degrees of polynomial \\spad{p} with respect to each of the variables in the list \\spad{lv}.") (((|NonNegativeInteger|) $ |#3|) "\\spad{degree(p,v)} gives the degree of polynomial \\spad{p} with respect to the variable \\spad{v}."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-6 -4460)) (-4457 . T) (-4456 . T) (-4459 . T)) NIL -(-967 E V R P -1967) +(-967 E V R P -1966) ((|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 @@ -3808,7 +3808,7 @@ NIL ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials whose variables are arbitrary symbols. The ordering is alphabetic determined by the Symbol type. The coefficient ring may be non commutative,{} but the variables are assumed to commute.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(p,x)} computes the integral of \\spad{p*dx},{} \\spadignore{i.e.} integrates the polynomial \\spad{p} with respect to the variable \\spad{x}."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-6 -4460)) (-4457 . T) (-4456 . T) (-4459 . T)) ((|HasCategory| |#1| (QUOTE (-926))) (-2781 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-2781 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-2781 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2781 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1195) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| (-1195) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| (-1195) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-1195) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-1195) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (-2781 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4460)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (-2781 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-146))))) -(-970 E V R P -1967) +(-970 E V R P -1966) ((|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| $) "\\spad{numer(x)} \\undocumented"))) NIL ((|HasCategory| |#3| (QUOTE (-464)))) @@ -3836,7 +3836,7 @@ NIL ((|constructor| (NIL "Category for the functions defined by integrals.")) (|integral| (($ $ (|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 -(-977 -1967) +(-977 -1966) ((|constructor| (NIL "PrimitiveElement provides functions to compute primitive elements in algebraic extensions.")) (|primitiveElement| (((|Record| (|:| |coef| (|List| (|Integer|))) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#1|))) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|)) (|Symbol|)) "\\spad{primitiveElement([p1,...,pn], [a1,...,an], a)} returns \\spad{[[c1,...,cn], [q1,...,qn], q]} such that then \\spad{k(a1,...,an) = k(a)},{} where \\spad{a = a1 c1 + ... + an cn},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}.") (((|Record| (|:| |coef| (|List| (|Integer|))) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#1|))) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{primitiveElement([p1,...,pn], [a1,...,an])} returns \\spad{[[c1,...,cn], [q1,...,qn], q]} such that then \\spad{k(a1,...,an) = k(a)},{} where \\spad{a = a1 c1 + ... + an cn},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}.") (((|Record| (|:| |coef1| (|Integer|)) (|:| |coef2| (|Integer|)) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|Polynomial| |#1|) (|Symbol|) (|Polynomial| |#1|) (|Symbol|)) "\\spad{primitiveElement(p1, a1, p2, a2)} returns \\spad{[c1, c2, q]} such that \\spad{k(a1, a2) = k(a)} where \\spad{a = c1 a1 + c2 a2, and q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. The \\spad{p2} may involve \\spad{a1},{} but \\spad{p1} must not involve a2. This operation uses \\spadfun{resultant}."))) NIL NIL @@ -3944,7 +3944,7 @@ 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 -(-1004 K R UP -1967) +(-1004 K R UP -1966) ((|constructor| (NIL "In this package \\spad{K} is a finite field,{} \\spad{R} is a ring of univariate polynomials over \\spad{K},{} and \\spad{F} is a monogenic algebra over \\spad{R}. We require that \\spad{F} is monogenic,{} \\spadignore{i.e.} that \\spad{F = K[x,y]/(f(x,y))},{} because the integral basis algorithm used will factor the polynomial \\spad{f(x,y)}. The package provides a function to compute the integral closure of \\spad{R} in the quotient field of \\spad{F} as well as a function to compute a \"local integral basis\" at a specific prime.")) (|reducedDiscriminant| ((|#2| |#3|) "\\spad{reducedDiscriminant(up)} \\undocumented")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) |#2|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv] } containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of the framed algebra \\spad{F}. \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If 'basis' is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix 'basisInv' contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if 'basisInv' is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv] } containing information regarding the integral closure of \\spad{R} in the quotient field of the framed algebra \\spad{F}. \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If 'basis' is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix 'basisInv' contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if 'basisInv' is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}."))) NIL NIL @@ -4016,7 +4016,7 @@ 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 -(-1022 -1967 UP UPUP |radicnd| |n|) +(-1022 -1966 UP UPUP |radicnd| |n|) ((|constructor| (NIL "Function field defined by y**n = \\spad{f}(\\spad{x})."))) ((-4455 |has| (-419 |#2|) (-374)) (-4460 |has| (-419 |#2|) (-374)) (-4454 |has| (-419 |#2|) (-374)) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) ((|HasCategory| (-419 |#2|) (QUOTE (-146))) (|HasCategory| (-419 |#2|) (QUOTE (-148))) (|HasCategory| (-419 |#2|) (QUOTE (-360))) (-2781 (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-379))) (-2781 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2781 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2781 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-360))))) (-2781 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -651) (QUOTE (-576)))) (-2781 (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) @@ -4056,19 +4056,19 @@ 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}}"))) ((-4455 . T) (-4460 . T) (-4454 . T) (-4457 . T) (-4456 . T) ((-4464 "*") . T) (-4459 . T)) NIL -(-1032 R -1967) +(-1032 R -1966) ((|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 -(-1033 R -1967) +(-1033 R -1966) ((|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 -(-1034 -1967 UP) +(-1034 -1966 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 -(-1035 -1967 UP) +(-1035 -1966 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 @@ -4104,7 +4104,7 @@ 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"))) ((-4455 . T) (-4460 . T) (-4454 . T) (-4457 . T) (-4456 . T) ((-4464 "*") . T) (-4459 . T)) ((-2781 (|HasCategory| (-419 (-576)) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| (-419 (-576)) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 (-576)) (LIST (QUOTE -1057) (QUOTE (-576))))) -(-1044 -1967 L) +(-1044 -1966 L) ((|constructor| (NIL "\\spadtype{ReductionOfOrder} provides functions for reducing the order of linear ordinary differential equations once some solutions are known.")) (|ReduceOrder| (((|Record| (|:| |eq| |#2|) (|:| |op| (|List| |#1|))) |#2| (|List| |#1|)) "\\spad{ReduceOrder(op, [f1,...,fk])} returns \\spad{[op1,[g1,...,gk]]} such that for any solution \\spad{z} of \\spad{op1 z = 0},{} \\spad{y = gk \\int(g_{k-1} \\int(... \\int(g1 \\int z)...)} is a solution of \\spad{op y = 0}. Each \\spad{fi} must satisfy \\spad{op fi = 0}.") ((|#2| |#2| |#1|) "\\spad{ReduceOrder(op, s)} returns \\spad{op1} such that for any solution \\spad{z} of \\spad{op1 z = 0},{} \\spad{y = s \\int z} is a solution of \\spad{op y = 0}. \\spad{s} must satisfy \\spad{op s = 0}."))) NIL NIL @@ -4140,7 +4140,7 @@ 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 -(-1053 -1967 |Expon| |VarSet| |FPol| |LFPol|) +(-1053 -1966 |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"))) (((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) NIL @@ -4204,7 +4204,7 @@ 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."))) ((-4459 . T)) NIL -(-1069 |xx| -1967) +(-1069 |xx| -1966) ((|constructor| (NIL "This package exports rational interpolation algorithms"))) NIL NIL @@ -4308,11 +4308,11 @@ NIL ((|constructor| (NIL "This domain implements named rules")) (|name| (((|Symbol|) $) "\\spad{name(x)} returns the symbol"))) NIL NIL -(-1095 |Base| R -1967) +(-1095 |Base| R -1966) ((|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 -(-1096 |Base| R -1967) +(-1096 |Base| R -1966) ((|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 @@ -4468,7 +4468,7 @@ 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 -(-1135 R -1967) +(-1135 R -1966) ((|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 @@ -4516,7 +4516,7 @@ 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}"))) ((-4463 . T) (-4462 . T)) NIL -(-1147 UP -1967) +(-1147 UP -1966) ((|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 @@ -4674,9 +4674,9 @@ NIL NIL (-1186 |Coef| |var| |cen|) ((|constructor| (NIL "Sparse Laurent series in one variable \\indented{2}{\\spadtype{SparseUnivariateLaurentSeries} is a domain representing Laurent} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariateLaurentSeries(Integer,x,3)} represents Laurent} \\indented{2}{series in \\spad{(x - 3)} with integer coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. 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We may integrate a series when we can divide coefficients by integers.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4456 . T) (-4457 . T) (-4459 . 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(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 @@ -4828,7 +4828,7 @@ 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 -(-1225 R -1967) +(-1225 R -1966) ((|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 @@ -4836,7 +4836,7 @@ 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 -(-1227 R -1967) +(-1227 R -1966) ((|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 -626) (LIST (QUOTE -905) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -899) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -899) (|devaluate| |#1|))))) @@ -4864,7 +4864,7 @@ 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 (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) -(-1234 -1967) +(-1234 -1966) ((|constructor| (NIL "A basic package for the factorization of bivariate polynomials over a finite field. The functions here represent the base step for the multivariate factorizer.")) (|twoFactor| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|)) (|Integer|)) "\\spad{twoFactor(p,n)} returns the factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}. Also,{} \\spad{p} is assumed primitive and square-free and \\spad{n} is the degree of the inner variable of \\spad{p} (maximum of the degrees of the coefficients of \\spad{p}).")) (|generalSqFr| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) "\\spad{generalSqFr(p)} returns the square-free factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}.")) (|generalTwoFactor| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) "\\spad{generalTwoFactor(p)} returns the factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}."))) NIL NIL @@ -4927,11 +4927,11 @@ NIL (-1249 |Coef| UTS) ((|constructor| (NIL "This package enables one to construct a univariate Laurent series domain from a univariate Taylor series domain. Univariate Laurent series are represented by a pair \\spad{[n,f(x)]},{} where \\spad{n} is an arbitrary integer and \\spad{f(x)} is a Taylor series. This pair represents the Laurent series \\spad{x**n * f(x)}."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-374)) (-4454 |has| |#1| (-374)) (-4456 . T) (-4457 . T) (-4459 . 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|#3|) (QUOTE (-926))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-174)))) (-12 (|HasCategory| (-1278 |#1| |#2| |#3|) (LIST (QUOTE -917) (QUOTE (-1195)))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| (-1278 |#1| |#2| |#3|) (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| (-1278 |#1| |#2| |#3|) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-1278 |#1| |#2| |#3|) (QUOTE (-926))) (|HasCategory| |#1| (QUOTE (-374)))) (-2781 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-1278 |#1| |#2| |#3|) (QUOTE (-926))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| (-1278 |#1| |#2| |#3|) (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-146))))) (-1251 ZP) ((|constructor| (NIL "Package for the factorization of univariate polynomials with integer coefficients. The factorization is done by \"lifting\" (HENSEL) the factorization over a finite field.")) (|henselFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|)) "\\spad{henselFact(m,flag)} returns the factorization of \\spad{m},{} FinalFact is a Record \\spad{s}.\\spad{t}. FinalFact.contp=content \\spad{m},{} FinalFact.factors=List of irreducible factors of \\spad{m} with exponent ,{} if \\spad{flag} =true the polynomial is assumed square free.")) (|factorSquareFree| (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(m)} returns the factorization of \\spad{m} square free polynomial")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(m)} returns the factorization of \\spad{m}"))) NIL @@ -5011,11 +5011,11 @@ NIL (-1270 |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)}."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-374)) (-4454 |has| |#1| (-374)) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2781 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-2781 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2781 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3581) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2781 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1221))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -3009) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1935) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) +((|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2781 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-2781 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2781 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3581) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2781 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1221))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -4121) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1934) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-1271 |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."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-374)) (-4454 |has| |#1| (-374)) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2781 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-2781 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2781 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3581) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2781 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1221))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -3009) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1935) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2781 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-2781 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2781 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3581) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2781 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1221))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -4121) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1934) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|))))))) (-1272 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") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> cen+,f(var))}."))) (((-4464 "*") |has| (-1271 |#2| |#3| |#4|) (-174)) (-4455 |has| (-1271 |#2| |#3| |#4|) (-568)) (-4456 . T) (-4457 . T) (-4459 . T)) @@ -5035,7 +5035,7 @@ NIL (-1276 S |Coef|) ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|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 (-576)))) (|HasCategory| |#2| (QUOTE (-976))) (|HasCategory| |#2| (QUOTE (-1221))) (|HasSignature| |#2| (LIST (QUOTE -1935) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -3009) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1195))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374)))) +((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-976))) (|HasCategory| |#2| (QUOTE (-1221))) (|HasSignature| |#2| (LIST (QUOTE -1934) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -4121) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1195))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374)))) (-1277 |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."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4456 . T) (-4457 . T) (-4459 . T)) @@ -5043,12 +5043,12 @@ NIL (-1278 |Coef| |var| |cen|) ((|constructor| (NIL "Dense Taylor series in one variable \\spadtype{UnivariateTaylorSeries} is a domain representing Taylor series in one variable with coefficients in an arbitrary ring. The parameters of the type specify the coefficient ring,{} the power series variable,{} and the center of the power series expansion. For example,{} \\spadtype{UnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|invmultisect| (($ (|Integer|) (|Integer|) $) "\\spad{invmultisect(a,b,f(x))} substitutes \\spad{x^((a+b)*n)} \\indented{1}{for \\spad{x^n} and multiples by \\spad{x^b}.}")) (|multisect| (($ (|Integer|) (|Integer|) $) "\\spad{multisect(a,b,f(x))} selects the coefficients of \\indented{1}{\\spad{x^((a+b)*n+a)},{} and changes this monomial to \\spad{x^n}.}")) (|revert| (($ $) "\\spad{revert(f(x))} returns a Taylor series \\spad{g(x)} such that \\spad{f(g(x)) = g(f(x)) = x}. Series \\spad{f(x)} should have constant coefficient 0 and invertible 1st order coefficient.")) (|generalLambert| (($ $ (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),a,d)} returns \\spad{f(x^a) + f(x^(a + d)) + \\indented{1}{f(x^(a + 2 d)) + ... }. \\spad{f(x)} should have zero constant} \\indented{1}{coefficient and \\spad{a} and \\spad{d} should be positive.}")) (|evenlambert| (($ $) "\\spad{evenlambert(f(x))} returns \\spad{f(x^2) + f(x^4) + f(x^6) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,f(x^(2*n))) = exp(log(evenlambert(f(x))))}.}")) (|oddlambert| (($ $) "\\spad{oddlambert(f(x))} returns \\spad{f(x) + f(x^3) + f(x^5) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,f(x^(2*n-1)))=exp(log(oddlambert(f(x))))}.}")) (|lambert| (($ $) "\\spad{lambert(f(x))} returns \\spad{f(x) + f(x^2) + f(x^3) + ...}. \\indented{1}{This function is used for computing infinite products.} \\indented{1}{\\spad{f(x)} should have zero constant coefficient.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n = 1..infinity,f(x^n)) = exp(log(lambert(f(x))))}.}")) (|lagrange| (($ $) "\\spad{lagrange(g(x))} produces the Taylor series for \\spad{f(x)} \\indented{1}{where \\spad{f(x)} is implicitly defined as \\spad{f(x) = x*g(f(x))}.}")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2781 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-783)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-783)) (|devaluate| |#1|)))) (|HasCategory| (-783) (QUOTE (-1131))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasSignature| |#1| (LIST (QUOTE -3581) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasCategory| |#1| (QUOTE (-374))) (-2781 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1221))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -3009) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1935) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2781 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1195)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-783)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-783)) (|devaluate| |#1|)))) (|HasCategory| (-783) (QUOTE (-1131))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasSignature| |#1| (LIST (QUOTE -3581) (LIST (|devaluate| |#1|) (QUOTE (-1195)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasCategory| |#1| (QUOTE (-374))) (-2781 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1221))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -4121) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1195))))) (|HasSignature| |#1| (LIST (QUOTE -1934) (LIST (LIST (QUOTE -656) (QUOTE (-1195))) (|devaluate| |#1|))))))) (-1279 |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 -(-1280 -1967 UP L UTS) +(-1280 -1966 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 (-568)))) @@ -5108,7 +5108,7 @@ 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 -(-1295 K R UP -1967) +(-1295 K R UP -1966) ((|constructor| (NIL "In this package \\spad{K} is a finite field,{} \\spad{R} is a ring of univariate polynomials over \\spad{K},{} and \\spad{F} is a framed algebra over \\spad{R}. The package provides a function to compute the integral closure of \\spad{R} in the quotient field of \\spad{F} as well as a function to compute a \"local integral basis\" at a specific prime.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) |#2|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the integral closure of \\spad{R} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}."))) NIL NIL @@ -5144,11 +5144,11 @@ 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| $) "\\spad{v * x} returns the product of a variable \\spad{x} by \\spad{x}."))) ((-4455 |has| |#2| (-6 -4455)) (-4457 . T) (-4456 . T) (-4459 . T)) NIL -(-1304 S -1967) +(-1304 S -1966) ((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|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|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}."))) NIL ((|HasCategory| |#2| (QUOTE (-379))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148)))) -(-1305 -1967) +(-1305 -1966) ((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|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}."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) NIL @@ -5208,4 +5208,4 @@ NIL NIL NIL NIL -((-3 NIL 2292758 2292763 2292768 2292773) (-2 NIL 2292738 2292743 2292748 2292753) (-1 NIL 2292718 2292723 2292728 2292733) (0 NIL 2292698 2292703 2292708 2292713) (-1315 "ZMOD.spad" 2292507 2292520 2292636 2292693) (-1314 "ZLINDEP.spad" 2291573 2291584 2292497 2292502) (-1313 "ZDSOLVE.spad" 2281518 2281540 2291563 2291568) (-1312 "YSTREAM.spad" 2281013 2281024 2281508 2281513) (-1311 "YDIAGRAM.spad" 2280647 2280656 2281003 2281008) (-1310 "XRPOLY.spad" 2279867 2279887 2280503 2280572) (-1309 "XPR.spad" 2277662 2277675 2279585 2279684) (-1308 "XPOLY.spad" 2277217 2277228 2277518 2277587) (-1307 "XPOLYC.spad" 2276536 2276552 2277143 2277212) (-1306 "XPBWPOLY.spad" 2274973 2274993 2276316 2276385) (-1305 "XF.spad" 2273436 2273451 2274875 2274968) (-1304 "XF.spad" 2271879 2271896 2273320 2273325) (-1303 "XFALG.spad" 2268927 2268943 2271805 2271874) (-1302 "XEXPPKG.spad" 2268178 2268204 2268917 2268922) (-1301 "XDPOLY.spad" 2267792 2267808 2268034 2268103) (-1300 "XALG.spad" 2267452 2267463 2267748 2267787) (-1299 "WUTSET.spad" 2263255 2263272 2267062 2267089) (-1298 "WP.spad" 2262454 2262498 2263113 2263180) (-1297 "WHILEAST.spad" 2262252 2262261 2262444 2262449) (-1296 "WHEREAST.spad" 2261923 2261932 2262242 2262247) (-1295 "WFFINTBS.spad" 2259586 2259608 2261913 2261918) (-1294 "WEIER.spad" 2257808 2257819 2259576 2259581) (-1293 "VSPACE.spad" 2257481 2257492 2257776 2257803) (-1292 "VSPACE.spad" 2257174 2257187 2257471 2257476) (-1291 "VOID.spad" 2256851 2256860 2257164 2257169) (-1290 "VIEW.spad" 2254531 2254540 2256841 2256846) (-1289 "VIEWDEF.spad" 2249732 2249741 2254521 2254526) (-1288 "VIEW3D.spad" 2233693 2233702 2249722 2249727) (-1287 "VIEW2D.spad" 2221584 2221593 2233683 2233688) (-1286 "VECTOR.spad" 2220105 2220116 2220356 2220383) (-1285 "VECTOR2.spad" 2218744 2218757 2220095 2220100) (-1284 "VECTCAT.spad" 2216648 2216659 2218712 2218739) (-1283 "VECTCAT.spad" 2214359 2214372 2216425 2216430) (-1282 "VARIABLE.spad" 2214139 2214154 2214349 2214354) (-1281 "UTYPE.spad" 2213783 2213792 2214129 2214134) (-1280 "UTSODETL.spad" 2213078 2213102 2213739 2213744) (-1279 "UTSODE.spad" 2211294 2211314 2213068 2213073) (-1278 "UTS.spad" 2206241 2206269 2209761 2209858) (-1277 "UTSCAT.spad" 2203720 2203736 2206139 2206236) (-1276 "UTSCAT.spad" 2200843 2200861 2203264 2203269) (-1275 "UTS2.spad" 2200438 2200473 2200833 2200838) (-1274 "URAGG.spad" 2195111 2195122 2200428 2200433) (-1273 "URAGG.spad" 2189748 2189761 2195067 2195072) (-1272 "UPXSSING.spad" 2187393 2187419 2188829 2188962) (-1271 "UPXS.spad" 2184689 2184717 2185525 2185674) (-1270 "UPXSCONS.spad" 2182448 2182468 2182821 2182970) (-1269 "UPXSCCA.spad" 2181019 2181039 2182294 2182443) (-1268 "UPXSCCA.spad" 2179732 2179754 2181009 2181014) (-1267 "UPXSCAT.spad" 2178321 2178337 2179578 2179727) (-1266 "UPXS2.spad" 2177864 2177917 2178311 2178316) (-1265 "UPSQFREE.spad" 2176278 2176292 2177854 2177859) (-1264 "UPSCAT.spad" 2174065 2174089 2176176 2176273) (-1263 "UPSCAT.spad" 2171558 2171584 2173671 2173676) (-1262 "UPOLYC.spad" 2166598 2166609 2171400 2171553) (-1261 "UPOLYC.spad" 2161530 2161543 2166334 2166339) (-1260 "UPOLYC2.spad" 2161001 2161020 2161520 2161525) (-1259 "UP.spad" 2158107 2158122 2158494 2158647) (-1258 "UPMP.spad" 2157007 2157020 2158097 2158102) (-1257 "UPDIVP.spad" 2156572 2156586 2156997 2157002) (-1256 "UPDECOMP.spad" 2154817 2154831 2156562 2156567) (-1255 "UPCDEN.spad" 2154026 2154042 2154807 2154812) (-1254 "UP2.spad" 2153390 2153411 2154016 2154021) (-1253 "UNISEG.spad" 2152743 2152754 2153309 2153314) (-1252 "UNISEG2.spad" 2152240 2152253 2152699 2152704) (-1251 "UNIFACT.spad" 2151343 2151355 2152230 2152235) (-1250 "ULS.spad" 2141127 2141155 2142072 2142501) (-1249 "ULSCONS.spad" 2132261 2132281 2132631 2132780) (-1248 "ULSCCAT.spad" 2129998 2130018 2132107 2132256) (-1247 "ULSCCAT.spad" 2127843 2127865 2129954 2129959) (-1246 "ULSCAT.spad" 2126075 2126091 2127689 2127838) (-1245 "ULS2.spad" 2125589 2125642 2126065 2126070) (-1244 "UINT8.spad" 2125466 2125475 2125579 2125584) (-1243 "UINT64.spad" 2125342 2125351 2125456 2125461) (-1242 "UINT32.spad" 2125218 2125227 2125332 2125337) (-1241 "UINT16.spad" 2125094 2125103 2125208 2125213) (-1240 "UFD.spad" 2124159 2124168 2125020 2125089) (-1239 "UFD.spad" 2123286 2123297 2124149 2124154) (-1238 "UDVO.spad" 2122167 2122176 2123276 2123281) (-1237 "UDPO.spad" 2119660 2119671 2122123 2122128) (-1236 "TYPE.spad" 2119592 2119601 2119650 2119655) (-1235 "TYPEAST.spad" 2119511 2119520 2119582 2119587) (-1234 "TWOFACT.spad" 2118163 2118178 2119501 2119506) (-1233 "TUPLE.spad" 2117649 2117660 2118062 2118067) (-1232 "TUBETOOL.spad" 2114516 2114525 2117639 2117644) (-1231 "TUBE.spad" 2113163 2113180 2114506 2114511) (-1230 "TS.spad" 2111762 2111778 2112728 2112825) (-1229 "TSETCAT.spad" 2098889 2098906 2111730 2111757) (-1228 "TSETCAT.spad" 2086002 2086021 2098845 2098850) (-1227 "TRMANIP.spad" 2080368 2080385 2085708 2085713) (-1226 "TRIMAT.spad" 2079331 2079356 2080358 2080363) (-1225 "TRIGMNIP.spad" 2077858 2077875 2079321 2079326) (-1224 "TRIGCAT.spad" 2077370 2077379 2077848 2077853) (-1223 "TRIGCAT.spad" 2076880 2076891 2077360 2077365) (-1222 "TREE.spad" 2075338 2075349 2076370 2076397) (-1221 "TRANFUN.spad" 2075177 2075186 2075328 2075333) (-1220 "TRANFUN.spad" 2075014 2075025 2075167 2075172) (-1219 "TOPSP.spad" 2074688 2074697 2075004 2075009) (-1218 "TOOLSIGN.spad" 2074351 2074362 2074678 2074683) (-1217 "TEXTFILE.spad" 2072912 2072921 2074341 2074346) (-1216 "TEX.spad" 2070058 2070067 2072902 2072907) (-1215 "TEX1.spad" 2069614 2069625 2070048 2070053) (-1214 "TEMUTL.spad" 2069169 2069178 2069604 2069609) (-1213 "TBCMPPK.spad" 2067262 2067285 2069159 2069164) (-1212 "TBAGG.spad" 2066312 2066335 2067242 2067257) (-1211 "TBAGG.spad" 2065370 2065395 2066302 2066307) (-1210 "TANEXP.spad" 2064778 2064789 2065360 2065365) (-1209 "TALGOP.spad" 2064502 2064513 2064768 2064773) (-1208 "TABLE.spad" 2062471 2062494 2062741 2062768) (-1207 "TABLEAU.spad" 2061952 2061963 2062461 2062466) (-1206 "TABLBUMP.spad" 2058755 2058766 2061942 2061947) (-1205 "SYSTEM.spad" 2057983 2057992 2058745 2058750) (-1204 "SYSSOLP.spad" 2055466 2055477 2057973 2057978) (-1203 "SYSPTR.spad" 2055365 2055374 2055456 2055461) (-1202 "SYSNNI.spad" 2054547 2054558 2055355 2055360) (-1201 "SYSINT.spad" 2053951 2053962 2054537 2054542) (-1200 "SYNTAX.spad" 2050157 2050166 2053941 2053946) (-1199 "SYMTAB.spad" 2048225 2048234 2050147 2050152) (-1198 "SYMS.spad" 2044248 2044257 2048215 2048220) (-1197 "SYMPOLY.spad" 2043255 2043266 2043337 2043464) (-1196 "SYMFUNC.spad" 2042756 2042767 2043245 2043250) (-1195 "SYMBOL.spad" 2040259 2040268 2042746 2042751) (-1194 "SWITCH.spad" 2037030 2037039 2040249 2040254) (-1193 "SUTS.spad" 2034078 2034106 2035497 2035594) (-1192 "SUPXS.spad" 2031361 2031389 2032210 2032359) (-1191 "SUP.spad" 2028081 2028092 2028854 2029007) (-1190 "SUPFRACF.spad" 2027186 2027204 2028071 2028076) (-1189 "SUP2.spad" 2026578 2026591 2027176 2027181) (-1188 "SUMRF.spad" 2025552 2025563 2026568 2026573) (-1187 "SUMFS.spad" 2025189 2025206 2025542 2025547) (-1186 "SULS.spad" 2014960 2014988 2015918 2016347) (-1185 "SUCHTAST.spad" 2014729 2014738 2014950 2014955) (-1184 "SUCH.spad" 2014411 2014426 2014719 2014724) (-1183 "SUBSPACE.spad" 2006526 2006541 2014401 2014406) (-1182 "SUBRESP.spad" 2005696 2005710 2006482 2006487) (-1181 "STTF.spad" 2001795 2001811 2005686 2005691) (-1180 "STTFNC.spad" 1998263 1998279 2001785 2001790) (-1179 "STTAYLOR.spad" 1990898 1990909 1998144 1998149) (-1178 "STRTBL.spad" 1988949 1988966 1989098 1989125) (-1177 "STRING.spad" 1987736 1987745 1987957 1987984) (-1176 "STREAM.spad" 1984537 1984548 1987144 1987159) (-1175 "STREAM3.spad" 1984110 1984125 1984527 1984532) (-1174 "STREAM2.spad" 1983238 1983251 1984100 1984105) (-1173 "STREAM1.spad" 1982944 1982955 1983228 1983233) (-1172 "STINPROD.spad" 1981880 1981896 1982934 1982939) (-1171 "STEP.spad" 1981081 1981090 1981870 1981875) (-1170 "STEPAST.spad" 1980315 1980324 1981071 1981076) (-1169 "STBL.spad" 1978399 1978427 1978566 1978581) (-1168 "STAGG.spad" 1977474 1977485 1978389 1978394) (-1167 "STAGG.spad" 1976547 1976560 1977464 1977469) (-1166 "STACK.spad" 1975787 1975798 1976037 1976064) (-1165 "SREGSET.spad" 1973455 1973472 1975397 1975424) (-1164 "SRDCMPK.spad" 1972016 1972036 1973445 1973450) (-1163 "SRAGG.spad" 1967159 1967168 1971984 1972011) (-1162 "SRAGG.spad" 1962322 1962333 1967149 1967154) (-1161 "SQMATRIX.spad" 1959865 1959883 1960781 1960868) (-1160 "SPLTREE.spad" 1954261 1954274 1959145 1959172) (-1159 "SPLNODE.spad" 1950849 1950862 1954251 1954256) (-1158 "SPFCAT.spad" 1949658 1949667 1950839 1950844) (-1157 "SPECOUT.spad" 1948210 1948219 1949648 1949653) (-1156 "SPADXPT.spad" 1939805 1939814 1948200 1948205) (-1155 "spad-parser.spad" 1939270 1939279 1939795 1939800) (-1154 "SPADAST.spad" 1938971 1938980 1939260 1939265) (-1153 "SPACEC.spad" 1923170 1923181 1938961 1938966) (-1152 "SPACE3.spad" 1922946 1922957 1923160 1923165) (-1151 "SORTPAK.spad" 1922495 1922508 1922902 1922907) (-1150 "SOLVETRA.spad" 1920258 1920269 1922485 1922490) (-1149 "SOLVESER.spad" 1918786 1918797 1920248 1920253) (-1148 "SOLVERAD.spad" 1914812 1914823 1918776 1918781) (-1147 "SOLVEFOR.spad" 1913274 1913292 1914802 1914807) (-1146 "SNTSCAT.spad" 1912874 1912891 1913242 1913269) (-1145 "SMTS.spad" 1911146 1911172 1912439 1912536) (-1144 "SMP.spad" 1908621 1908641 1909011 1909138) (-1143 "SMITH.spad" 1907466 1907491 1908611 1908616) (-1142 "SMATCAT.spad" 1905576 1905606 1907410 1907461) (-1141 "SMATCAT.spad" 1903618 1903650 1905454 1905459) (-1140 "SKAGG.spad" 1902581 1902592 1903586 1903613) (-1139 "SINT.spad" 1901521 1901530 1902447 1902576) (-1138 "SIMPAN.spad" 1901249 1901258 1901511 1901516) (-1137 "SIG.spad" 1900579 1900588 1901239 1901244) (-1136 "SIGNRF.spad" 1899697 1899708 1900569 1900574) (-1135 "SIGNEF.spad" 1898976 1898993 1899687 1899692) (-1134 "SIGAST.spad" 1898361 1898370 1898966 1898971) (-1133 "SHP.spad" 1896289 1896304 1898317 1898322) (-1132 "SHDP.spad" 1883967 1883994 1884476 1884575) (-1131 "SGROUP.spad" 1883575 1883584 1883957 1883962) (-1130 "SGROUP.spad" 1883181 1883192 1883565 1883570) (-1129 "SGCF.spad" 1876320 1876329 1883171 1883176) (-1128 "SFRTCAT.spad" 1875250 1875267 1876288 1876315) (-1127 "SFRGCD.spad" 1874313 1874333 1875240 1875245) (-1126 "SFQCMPK.spad" 1868950 1868970 1874303 1874308) (-1125 "SFORT.spad" 1868389 1868403 1868940 1868945) (-1124 "SEXOF.spad" 1868232 1868272 1868379 1868384) (-1123 "SEX.spad" 1868124 1868133 1868222 1868227) (-1122 "SEXCAT.spad" 1865896 1865936 1868114 1868119) (-1121 "SET.spad" 1864184 1864195 1865281 1865320) (-1120 "SETMN.spad" 1862634 1862651 1864174 1864179) (-1119 "SETCAT.spad" 1861956 1861965 1862624 1862629) (-1118 "SETCAT.spad" 1861276 1861287 1861946 1861951) (-1117 "SETAGG.spad" 1857825 1857836 1861256 1861271) (-1116 "SETAGG.spad" 1854382 1854395 1857815 1857820) (-1115 "SEQAST.spad" 1854085 1854094 1854372 1854377) (-1114 "SEGXCAT.spad" 1853241 1853254 1854075 1854080) (-1113 "SEG.spad" 1853054 1853065 1853160 1853165) (-1112 "SEGCAT.spad" 1851979 1851990 1853044 1853049) (-1111 "SEGBIND.spad" 1851737 1851748 1851926 1851931) (-1110 "SEGBIND2.spad" 1851435 1851448 1851727 1851732) (-1109 "SEGAST.spad" 1851149 1851158 1851425 1851430) (-1108 "SEG2.spad" 1850584 1850597 1851105 1851110) (-1107 "SDVAR.spad" 1849860 1849871 1850574 1850579) (-1106 "SDPOL.spad" 1847193 1847204 1847484 1847611) (-1105 "SCPKG.spad" 1845282 1845293 1847183 1847188) (-1104 "SCOPE.spad" 1844435 1844444 1845272 1845277) (-1103 "SCACHE.spad" 1843131 1843142 1844425 1844430) (-1102 "SASTCAT.spad" 1843040 1843049 1843121 1843126) (-1101 "SAOS.spad" 1842912 1842921 1843030 1843035) (-1100 "SAERFFC.spad" 1842625 1842645 1842902 1842907) (-1099 "SAE.spad" 1840095 1840111 1840706 1840841) (-1098 "SAEFACT.spad" 1839796 1839816 1840085 1840090) (-1097 "RURPK.spad" 1837455 1837471 1839786 1839791) (-1096 "RULESET.spad" 1836908 1836932 1837445 1837450) (-1095 "RULE.spad" 1835148 1835172 1836898 1836903) (-1094 "RULECOLD.spad" 1835000 1835013 1835138 1835143) (-1093 "RTVALUE.spad" 1834735 1834744 1834990 1834995) (-1092 "RSTRCAST.spad" 1834452 1834461 1834725 1834730) (-1091 "RSETGCD.spad" 1830830 1830850 1834442 1834447) (-1090 "RSETCAT.spad" 1820766 1820783 1830798 1830825) (-1089 "RSETCAT.spad" 1810722 1810741 1820756 1820761) (-1088 "RSDCMPK.spad" 1809174 1809194 1810712 1810717) (-1087 "RRCC.spad" 1807558 1807588 1809164 1809169) (-1086 "RRCC.spad" 1805940 1805972 1807548 1807553) (-1085 "RPTAST.spad" 1805642 1805651 1805930 1805935) (-1084 "RPOLCAT.spad" 1785002 1785017 1805510 1805637) (-1083 "RPOLCAT.spad" 1764075 1764092 1784585 1784590) (-1082 "ROUTINE.spad" 1759496 1759505 1762260 1762287) (-1081 "ROMAN.spad" 1758824 1758833 1759362 1759491) (-1080 "ROIRC.spad" 1757904 1757936 1758814 1758819) (-1079 "RNS.spad" 1756807 1756816 1757806 1757899) (-1078 "RNS.spad" 1755796 1755807 1756797 1756802) (-1077 "RNG.spad" 1755531 1755540 1755786 1755791) (-1076 "RNGBIND.spad" 1754691 1754705 1755486 1755491) (-1075 "RMODULE.spad" 1754456 1754467 1754681 1754686) (-1074 "RMCAT2.spad" 1753876 1753933 1754446 1754451) (-1073 "RMATRIX.spad" 1752664 1752683 1753007 1753046) (-1072 "RMATCAT.spad" 1748243 1748274 1752620 1752659) (-1071 "RMATCAT.spad" 1743712 1743745 1748091 1748096) (-1070 "RLINSET.spad" 1743416 1743427 1743702 1743707) (-1069 "RINTERP.spad" 1743304 1743324 1743406 1743411) (-1068 "RING.spad" 1742774 1742783 1743284 1743299) (-1067 "RING.spad" 1742252 1742263 1742764 1742769) (-1066 "RIDIST.spad" 1741644 1741653 1742242 1742247) (-1065 "RGCHAIN.spad" 1740172 1740188 1741074 1741101) (-1064 "RGBCSPC.spad" 1739953 1739965 1740162 1740167) (-1063 "RGBCMDL.spad" 1739483 1739495 1739943 1739948) (-1062 "RF.spad" 1737125 1737136 1739473 1739478) (-1061 "RFFACTOR.spad" 1736587 1736598 1737115 1737120) (-1060 "RFFACT.spad" 1736322 1736334 1736577 1736582) (-1059 "RFDIST.spad" 1735318 1735327 1736312 1736317) (-1058 "RETSOL.spad" 1734737 1734750 1735308 1735313) (-1057 "RETRACT.spad" 1734165 1734176 1734727 1734732) (-1056 "RETRACT.spad" 1733591 1733604 1734155 1734160) (-1055 "RETAST.spad" 1733403 1733412 1733581 1733586) (-1054 "RESULT.spad" 1731001 1731010 1731588 1731615) (-1053 "RESRING.spad" 1730348 1730395 1730939 1730996) (-1052 "RESLATC.spad" 1729672 1729683 1730338 1730343) (-1051 "REPSQ.spad" 1729403 1729414 1729662 1729667) (-1050 "REP.spad" 1726957 1726966 1729393 1729398) (-1049 "REPDB.spad" 1726664 1726675 1726947 1726952) (-1048 "REP2.spad" 1716322 1716333 1726506 1726511) (-1047 "REP1.spad" 1710518 1710529 1716272 1716277) (-1046 "REGSET.spad" 1708279 1708296 1710128 1710155) (-1045 "REF.spad" 1707614 1707625 1708234 1708239) (-1044 "REDORDER.spad" 1706820 1706837 1707604 1707609) (-1043 "RECLOS.spad" 1705603 1705623 1706307 1706400) (-1042 "REALSOLV.spad" 1704743 1704752 1705593 1705598) (-1041 "REAL.spad" 1704615 1704624 1704733 1704738) (-1040 "REAL0Q.spad" 1701913 1701928 1704605 1704610) (-1039 "REAL0.spad" 1698757 1698772 1701903 1701908) (-1038 "RDUCEAST.spad" 1698478 1698487 1698747 1698752) (-1037 "RDIV.spad" 1698133 1698158 1698468 1698473) (-1036 "RDIST.spad" 1697700 1697711 1698123 1698128) (-1035 "RDETRS.spad" 1696564 1696582 1697690 1697695) (-1034 "RDETR.spad" 1694703 1694721 1696554 1696559) (-1033 "RDEEFS.spad" 1693802 1693819 1694693 1694698) (-1032 "RDEEF.spad" 1692812 1692829 1693792 1693797) (-1031 "RCFIELD.spad" 1689998 1690007 1692714 1692807) (-1030 "RCFIELD.spad" 1687270 1687281 1689988 1689993) (-1029 "RCAGG.spad" 1685198 1685209 1687260 1687265) (-1028 "RCAGG.spad" 1683053 1683066 1685117 1685122) (-1027 "RATRET.spad" 1682413 1682424 1683043 1683048) (-1026 "RATFACT.spad" 1682105 1682117 1682403 1682408) (-1025 "RANDSRC.spad" 1681424 1681433 1682095 1682100) (-1024 "RADUTIL.spad" 1681180 1681189 1681414 1681419) (-1023 "RADIX.spad" 1678004 1678018 1679550 1679643) (-1022 "RADFF.spad" 1675743 1675780 1675862 1676018) (-1021 "RADCAT.spad" 1675338 1675347 1675733 1675738) (-1020 "RADCAT.spad" 1674931 1674942 1675328 1675333) (-1019 "QUEUE.spad" 1674162 1674173 1674421 1674448) (-1018 "QUAT.spad" 1672650 1672661 1672993 1673058) (-1017 "QUATCT2.spad" 1672270 1672289 1672640 1672645) (-1016 "QUATCAT.spad" 1670440 1670451 1672200 1672265) (-1015 "QUATCAT.spad" 1668361 1668374 1670123 1670128) (-1014 "QUAGG.spad" 1667188 1667199 1668329 1668356) (-1013 "QQUTAST.spad" 1666956 1666965 1667178 1667183) (-1012 "QFORM.spad" 1666574 1666589 1666946 1666951) (-1011 "QFCAT.spad" 1665276 1665287 1666476 1666569) (-1010 "QFCAT.spad" 1663569 1663582 1664771 1664776) (-1009 "QFCAT2.spad" 1663261 1663278 1663559 1663564) (-1008 "QEQUAT.spad" 1662819 1662828 1663251 1663256) (-1007 "QCMPACK.spad" 1657565 1657585 1662809 1662814) (-1006 "QALGSET.spad" 1653643 1653676 1657479 1657484) (-1005 "QALGSET2.spad" 1651638 1651657 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1448684 1448689) (-892 "PARSCURV.spad" 1447648 1447676 1448204 1448209) (-891 "PARSC2.spad" 1447439 1447455 1447638 1447643) (-890 "PARPCURV.spad" 1446901 1446929 1447429 1447434) (-889 "PARPC2.spad" 1446692 1446708 1446891 1446896) (-888 "PARAMAST.spad" 1445820 1445828 1446682 1446687) (-887 "PAN2EXPR.spad" 1445232 1445240 1445810 1445815) (-886 "PALETTE.spad" 1444202 1444210 1445222 1445227) (-885 "PAIR.spad" 1443189 1443202 1443790 1443795) (-884 "PADICRC.spad" 1440430 1440448 1441601 1441694) (-883 "PADICRAT.spad" 1438338 1438350 1438559 1438652) (-882 "PADIC.spad" 1438033 1438045 1438264 1438333) (-881 "PADICCT.spad" 1436582 1436594 1437959 1438028) (-880 "PADEPAC.spad" 1435271 1435290 1436572 1436577) (-879 "PADE.spad" 1434023 1434039 1435261 1435266) (-878 "OWP.spad" 1433263 1433293 1433881 1433948) (-877 "OVERSET.spad" 1432836 1432844 1433253 1433258) (-876 "OVAR.spad" 1432617 1432640 1432826 1432831) (-875 "OUT.spad" 1431703 1431711 1432607 1432612) (-874 "OUTFORM.spad" 1421095 1421103 1431693 1431698) (-873 "OUTBFILE.spad" 1420513 1420521 1421085 1421090) (-872 "OUTBCON.spad" 1419519 1419527 1420503 1420508) (-871 "OUTBCON.spad" 1418523 1418533 1419509 1419514) (-870 "OSI.spad" 1417998 1418006 1418513 1418518) (-869 "OSGROUP.spad" 1417916 1417924 1417988 1417993) (-868 "ORTHPOL.spad" 1416401 1416411 1417833 1417838) (-867 "OREUP.spad" 1415854 1415882 1416081 1416120) (-866 "ORESUP.spad" 1415155 1415179 1415534 1415573) (-865 "OREPCTO.spad" 1413012 1413024 1415075 1415080) (-864 "OREPCAT.spad" 1407159 1407169 1412968 1413007) (-863 "OREPCAT.spad" 1401196 1401208 1407007 1407012) (-862 "ORDSET.spad" 1400368 1400376 1401186 1401191) (-861 "ORDSET.spad" 1399538 1399548 1400358 1400363) (-860 "ORDRING.spad" 1398928 1398936 1399518 1399533) (-859 "ORDRING.spad" 1398326 1398336 1398918 1398923) (-858 "ORDMON.spad" 1398181 1398189 1398316 1398321) (-857 "ORDFUNS.spad" 1397313 1397329 1398171 1398176) (-856 "ORDFIN.spad" 1397133 1397141 1397303 1397308) (-855 "ORDCOMP.spad" 1395598 1395608 1396680 1396709) (-854 "ORDCOMP2.spad" 1394891 1394903 1395588 1395593) (-853 "OPTPROB.spad" 1393529 1393537 1394881 1394886) (-852 "OPTPACK.spad" 1385938 1385946 1393519 1393524) (-851 "OPTCAT.spad" 1383617 1383625 1385928 1385933) (-850 "OPSIG.spad" 1383271 1383279 1383607 1383612) (-849 "OPQUERY.spad" 1382820 1382828 1383261 1383266) (-848 "OP.spad" 1382562 1382572 1382642 1382709) (-847 "OPERCAT.spad" 1382028 1382038 1382552 1382557) (-846 "OPERCAT.spad" 1381492 1381504 1382018 1382023) (-845 "ONECOMP.spad" 1380237 1380247 1381039 1381068) (-844 "ONECOMP2.spad" 1379661 1379673 1380227 1380232) (-843 "OMSERVER.spad" 1378667 1378675 1379651 1379656) (-842 "OMSAGG.spad" 1378455 1378465 1378623 1378662) (-841 "OMPKG.spad" 1377071 1377079 1378445 1378450) (-840 "OM.spad" 1376044 1376052 1377061 1377066) (-839 "OMLO.spad" 1375469 1375481 1375930 1375969) (-838 "OMEXPR.spad" 1375303 1375313 1375459 1375464) (-837 "OMERR.spad" 1374848 1374856 1375293 1375298) (-836 "OMERRK.spad" 1373882 1373890 1374838 1374843) (-835 "OMENC.spad" 1373226 1373234 1373872 1373877) (-834 "OMDEV.spad" 1367535 1367543 1373216 1373221) (-833 "OMCONN.spad" 1366944 1366952 1367525 1367530) (-832 "OINTDOM.spad" 1366707 1366715 1366870 1366939) (-831 "OFMONOID.spad" 1364830 1364840 1366663 1366668) (-830 "ODVAR.spad" 1364091 1364101 1364820 1364825) (-829 "ODR.spad" 1363735 1363761 1363903 1364052) (-828 "ODPOL.spad" 1361024 1361034 1361364 1361491) (-827 "ODP.spad" 1348838 1348858 1349211 1349310) (-826 "ODETOOLS.spad" 1347487 1347506 1348828 1348833) (-825 "ODESYS.spad" 1345181 1345198 1347477 1347482) (-824 "ODERTRIC.spad" 1341190 1341207 1345138 1345143) (-823 "ODERED.spad" 1340589 1340613 1341180 1341185) (-822 "ODERAT.spad" 1338204 1338221 1340579 1340584) (-821 "ODEPRRIC.spad" 1335241 1335263 1338194 1338199) (-820 "ODEPROB.spad" 1334498 1334506 1335231 1335236) (-819 "ODEPRIM.spad" 1331832 1331854 1334488 1334493) (-818 "ODEPAL.spad" 1331218 1331242 1331822 1331827) (-817 "ODEPACK.spad" 1317884 1317892 1331208 1331213) (-816 "ODEINT.spad" 1317319 1317335 1317874 1317879) (-815 "ODEIFTBL.spad" 1314714 1314722 1317309 1317314) (-814 "ODEEF.spad" 1310205 1310221 1314704 1314709) (-813 "ODECONST.spad" 1309742 1309760 1310195 1310200) (-812 "ODECAT.spad" 1308340 1308348 1309732 1309737) (-811 "OCT.spad" 1306476 1306486 1307190 1307229) (-810 "OCTCT2.spad" 1306122 1306143 1306466 1306471) (-809 "OC.spad" 1303918 1303928 1306078 1306117) (-808 "OC.spad" 1301439 1301451 1303601 1303606) (-807 "OCAMON.spad" 1301287 1301295 1301429 1301434) (-806 "OASGP.spad" 1301102 1301110 1301277 1301282) (-805 "OAMONS.spad" 1300624 1300632 1301092 1301097) (-804 "OAMON.spad" 1300485 1300493 1300614 1300619) (-803 "OAGROUP.spad" 1300347 1300355 1300475 1300480) (-802 "NUMTUBE.spad" 1299938 1299954 1300337 1300342) (-801 "NUMQUAD.spad" 1287914 1287922 1299928 1299933) (-800 "NUMODE.spad" 1279268 1279276 1287904 1287909) (-799 "NUMINT.spad" 1276834 1276842 1279258 1279263) (-798 "NUMFMT.spad" 1275674 1275682 1276824 1276829) (-797 "NUMERIC.spad" 1267788 1267798 1275479 1275484) (-796 "NTSCAT.spad" 1266296 1266312 1267756 1267783) (-795 "NTPOLFN.spad" 1265847 1265857 1266213 1266218) (-794 "NSUP.spad" 1258800 1258810 1263340 1263493) (-793 "NSUP2.spad" 1258192 1258204 1258790 1258795) (-792 "NSMP.spad" 1254422 1254441 1254730 1254857) (-791 "NREP.spad" 1252800 1252814 1254412 1254417) (-790 "NPCOEF.spad" 1252046 1252066 1252790 1252795) (-789 "NORMRETR.spad" 1251644 1251683 1252036 1252041) (-788 "NORMPK.spad" 1249546 1249565 1251634 1251639) (-787 "NORMMA.spad" 1249234 1249260 1249536 1249541) (-786 "NONE.spad" 1248975 1248983 1249224 1249229) (-785 "NONE1.spad" 1248651 1248661 1248965 1248970) (-784 "NODE1.spad" 1248138 1248154 1248641 1248646) (-783 "NNI.spad" 1247033 1247041 1248112 1248133) (-782 "NLINSOL.spad" 1245659 1245669 1247023 1247028) (-781 "NIPROB.spad" 1244200 1244208 1245649 1245654) (-780 "NFINTBAS.spad" 1241760 1241777 1244190 1244195) (-779 "NETCLT.spad" 1241734 1241745 1241750 1241755) (-778 "NCODIV.spad" 1239950 1239966 1241724 1241729) (-777 "NCNTFRAC.spad" 1239592 1239606 1239940 1239945) (-776 "NCEP.spad" 1237758 1237772 1239582 1239587) (-775 "NASRING.spad" 1237354 1237362 1237748 1237753) (-774 "NASRING.spad" 1236948 1236958 1237344 1237349) (-773 "NARNG.spad" 1236300 1236308 1236938 1236943) (-772 "NARNG.spad" 1235650 1235660 1236290 1236295) (-771 "NAGSP.spad" 1234727 1234735 1235640 1235645) (-770 "NAGS.spad" 1224388 1224396 1234717 1234722) (-769 "NAGF07.spad" 1222819 1222827 1224378 1224383) (-768 "NAGF04.spad" 1217221 1217229 1222809 1222814) (-767 "NAGF02.spad" 1211290 1211298 1217211 1217216) (-766 "NAGF01.spad" 1207051 1207059 1211280 1211285) (-765 "NAGE04.spad" 1200751 1200759 1207041 1207046) (-764 "NAGE02.spad" 1191411 1191419 1200741 1200746) (-763 "NAGE01.spad" 1187413 1187421 1191401 1191406) (-762 "NAGD03.spad" 1185417 1185425 1187403 1187408) (-761 "NAGD02.spad" 1178164 1178172 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"KRCFROM.spad" 993827 993837 994079 994084) (-627 "KOVACIC.spad" 992550 992567 993817 993822) (-626 "KONVERT.spad" 992272 992282 992540 992545) (-625 "KOERCE.spad" 992009 992019 992262 992267) (-624 "KERNEL.spad" 990664 990674 991793 991798) (-623 "KERNEL2.spad" 990367 990379 990654 990659) (-622 "KDAGG.spad" 989476 989498 990347 990362) (-621 "KDAGG.spad" 988593 988617 989466 989471) (-620 "KAFILE.spad" 987447 987463 987682 987709) (-619 "JORDAN.spad" 985276 985288 986737 986882) (-618 "JOINAST.spad" 984970 984978 985266 985271) (-617 "JAVACODE.spad" 984836 984844 984960 984965) (-616 "IXAGG.spad" 982969 982993 984826 984831) (-615 "IXAGG.spad" 980957 980983 982816 982821) (-614 "IVECTOR.spad" 979574 979589 979729 979756) (-613 "ITUPLE.spad" 978735 978745 979564 979569) (-612 "ITRIGMNP.spad" 977574 977593 978725 978730) (-611 "ITFUN3.spad" 977080 977094 977564 977569) (-610 "ITFUN2.spad" 976824 976836 977070 977075) (-609 "ITFORM.spad" 976179 976187 976814 976819) (-608 "ITAYLOR.spad" 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"EXIT.spad" 461456 461464 461775 461780) (-321 "EXITAST.spad" 461192 461200 461446 461451) (-320 "EVALCYC.spad" 460652 460666 461182 461187) (-319 "EVALAB.spad" 460224 460234 460642 460647) (-318 "EVALAB.spad" 459794 459806 460214 460219) (-317 "EUCDOM.spad" 457368 457376 459720 459789) (-316 "EUCDOM.spad" 455004 455014 457358 457363) (-315 "ESTOOLS.spad" 446850 446858 454994 454999) (-314 "ESTOOLS2.spad" 446453 446467 446840 446845) (-313 "ESTOOLS1.spad" 446138 446149 446443 446448) (-312 "ES.spad" 438953 438961 446128 446133) (-311 "ES.spad" 431674 431684 438851 438856) (-310 "ESCONT.spad" 428467 428475 431664 431669) (-309 "ESCONT1.spad" 428216 428228 428457 428462) (-308 "ES2.spad" 427721 427737 428206 428211) (-307 "ES1.spad" 427291 427307 427711 427716) (-306 "ERROR.spad" 424618 424626 427281 427286) (-305 "EQTBL.spad" 422648 422670 422857 422884) (-304 "EQ.spad" 417453 417463 420240 420352) (-303 "EQ2.spad" 417171 417183 417443 417448) (-302 "EP.spad" 413497 413507 417161 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(-160 "COMBINAT.spad" 182615 182625 183838 183843) (-159 "COMBF.spad" 179997 180013 182605 182610) (-158 "COLOR.spad" 178834 178842 179987 179992) (-157 "COLONAST.spad" 178500 178508 178824 178829) (-156 "CMPLXRT.spad" 178211 178228 178490 178495) (-155 "CLLCTAST.spad" 177873 177881 178201 178206) (-154 "CLIP.spad" 173981 173989 177863 177868) (-153 "CLIF.spad" 172636 172652 173937 173976) (-152 "CLAGG.spad" 169141 169151 172626 172631) (-151 "CLAGG.spad" 165517 165529 169004 169009) (-150 "CINTSLPE.spad" 164848 164861 165507 165512) (-149 "CHVAR.spad" 162986 163008 164838 164843) (-148 "CHARZ.spad" 162901 162909 162966 162981) (-147 "CHARPOL.spad" 162411 162421 162891 162896) (-146 "CHARNZ.spad" 162164 162172 162391 162406) (-145 "CHAR.spad" 160038 160046 162154 162159) (-144 "CFCAT.spad" 159366 159374 160028 160033) (-143 "CDEN.spad" 158562 158576 159356 159361) (-142 "CCLASS.spad" 156673 156681 157935 157974) (-141 "CATEGORY.spad" 155715 155723 156663 156668) (-140 "CATCTOR.spad" 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"AUTOMOR.spad" 110562 110571 111091 111106) (-98 "ATTREG.spad" 107285 107292 110314 110557) (-97 "ATTRBUT.spad" 103308 103315 107265 107280) (-96 "ATTRAST.spad" 103025 103032 103298 103303) (-95 "ATRIG.spad" 102495 102502 103015 103020) (-94 "ATRIG.spad" 101963 101972 102485 102490) (-93 "ASTCAT.spad" 101867 101874 101953 101958) (-92 "ASTCAT.spad" 101769 101778 101857 101862) (-91 "ASTACK.spad" 100991 101000 101259 101286) (-90 "ASSOCEQ.spad" 99817 99828 100947 100952) (-89 "ASP9.spad" 98898 98911 99807 99812) (-88 "ASP8.spad" 97941 97954 98888 98893) (-87 "ASP80.spad" 97263 97276 97931 97936) (-86 "ASP7.spad" 96423 96436 97253 97258) (-85 "ASP78.spad" 95874 95887 96413 96418) (-84 "ASP77.spad" 95243 95256 95864 95869) (-83 "ASP74.spad" 94335 94348 95233 95238) (-82 "ASP73.spad" 93606 93619 94325 94330) (-81 "ASP6.spad" 92473 92486 93596 93601) (-80 "ASP55.spad" 90982 90995 92463 92468) (-79 "ASP50.spad" 88799 88812 90972 90977) (-78 "ASP4.spad" 88094 88107 88789 88794) (-77 "ASP49.spad" 87093 87106 88084 88089) (-76 "ASP42.spad" 85500 85539 87083 87088) (-75 "ASP41.spad" 84079 84118 85490 85495) (-74 "ASP35.spad" 83067 83080 84069 84074) (-73 "ASP34.spad" 82368 82381 83057 83062) (-72 "ASP33.spad" 81928 81941 82358 82363) (-71 "ASP31.spad" 81068 81081 81918 81923) (-70 "ASP30.spad" 79960 79973 81058 81063) (-69 "ASP29.spad" 79426 79439 79950 79955) (-68 "ASP28.spad" 70699 70712 79416 79421) (-67 "ASP27.spad" 69596 69609 70689 70694) (-66 "ASP24.spad" 68683 68696 69586 69591) (-65 "ASP20.spad" 68147 68160 68673 68678) (-64 "ASP1.spad" 67528 67541 68137 68142) (-63 "ASP19.spad" 62214 62227 67518 67523) (-62 "ASP12.spad" 61628 61641 62204 62209) (-61 "ASP10.spad" 60899 60912 61618 61623) (-60 "ARRAY2.spad" 60142 60151 60389 60416) (-59 "ARRAY1.spad" 58826 58835 59172 59199) (-58 "ARRAY12.spad" 57539 57550 58816 58821) (-57 "ARR2CAT.spad" 53313 53334 57507 57534) (-56 "ARR2CAT.spad" 49107 49130 53303 53308) (-55 "ARITY.spad" 48479 48486 49097 49102) (-54 "APPRULE.spad" 47739 47761 48469 48474) (-53 "APPLYORE.spad" 47358 47371 47729 47734) (-52 "ANY.spad" 46217 46224 47348 47353) (-51 "ANY1.spad" 45288 45297 46207 46212) (-50 "ANTISYM.spad" 43733 43749 45268 45283) (-49 "ANON.spad" 43426 43433 43723 43728) (-48 "AN.spad" 41735 41742 43242 43335) (-47 "AMR.spad" 39920 39931 41633 41730) (-46 "AMR.spad" 37942 37955 39657 39662) (-45 "ALIST.spad" 34842 34863 35192 35219) (-44 "ALGSC.spad" 33977 34003 34714 34767) (-43 "ALGPKG.spad" 29760 29771 33933 33938) (-42 "ALGMFACT.spad" 28953 28967 29750 29755) (-41 "ALGMANIP.spad" 26427 26442 28786 28791) (-40 "ALGFF.spad" 24068 24095 24285 24441) (-39 "ALGFACT.spad" 23195 23205 24058 24063) (-38 "ALGEBRA.spad" 23028 23037 23151 23190) (-37 "ALGEBRA.spad" 22893 22904 23018 23023) (-36 "ALAGG.spad" 22405 22426 22861 22888) (-35 "AHYP.spad" 21786 21793 22395 22400) (-34 "AGG.spad" 20103 20110 21776 21781) (-33 "AGG.spad" 18384 18393 20059 20064) (-32 "AF.spad" 16815 16830 18319 18324) (-31 "ADDAST.spad" 16493 16500 16805 16810) (-30 "ACPLOT.spad" 15084 15091 16483 16488) (-29 "ACFS.spad" 12893 12902 14986 15079) (-28 "ACFS.spad" 10788 10799 12883 12888) (-27 "ACF.spad" 7470 7477 10690 10783) (-26 "ACF.spad" 4238 4247 7460 7465) (-25 "ABELSG.spad" 3779 3786 4228 4233) (-24 "ABELSG.spad" 3318 3327 3769 3774) (-23 "ABELMON.spad" 2861 2868 3308 3313) (-22 "ABELMON.spad" 2402 2411 2851 2856) (-21 "ABELGRP.spad" 2067 2074 2392 2397) (-20 "ABELGRP.spad" 1730 1739 2057 2062) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865))
\ No newline at end of file +((-3 NIL 2293172 2293177 2293182 2293187) (-2 NIL 2293152 2293157 2293162 2293167) (-1 NIL 2293132 2293137 2293142 2293147) (0 NIL 2293112 2293117 2293122 2293127) (-1315 "ZMOD.spad" 2292921 2292934 2293050 2293107) (-1314 "ZLINDEP.spad" 2291987 2291998 2292911 2292916) (-1313 "ZDSOLVE.spad" 2281932 2281954 2291977 2291982) (-1312 "YSTREAM.spad" 2281427 2281438 2281922 2281927) (-1311 "YDIAGRAM.spad" 2281061 2281070 2281417 2281422) (-1310 "XRPOLY.spad" 2280281 2280301 2280917 2280986) (-1309 "XPR.spad" 2278076 2278089 2279999 2280098) (-1308 "XPOLY.spad" 2277631 2277642 2277932 2278001) (-1307 "XPOLYC.spad" 2276950 2276966 2277557 2277626) (-1306 "XPBWPOLY.spad" 2275387 2275407 2276730 2276799) (-1305 "XF.spad" 2273850 2273865 2275289 2275382) (-1304 "XF.spad" 2272293 2272310 2273734 2273739) (-1303 "XFALG.spad" 2269341 2269357 2272219 2272288) (-1302 "XEXPPKG.spad" 2268592 2268618 2269331 2269336) (-1301 "XDPOLY.spad" 2268206 2268222 2268448 2268517) (-1300 "XALG.spad" 2267866 2267877 2268162 2268201) (-1299 "WUTSET.spad" 2263669 2263686 2267476 2267503) (-1298 "WP.spad" 2262868 2262912 2263527 2263594) (-1297 "WHILEAST.spad" 2262666 2262675 2262858 2262863) (-1296 "WHEREAST.spad" 2262337 2262346 2262656 2262661) (-1295 "WFFINTBS.spad" 2260000 2260022 2262327 2262332) (-1294 "WEIER.spad" 2258222 2258233 2259990 2259995) (-1293 "VSPACE.spad" 2257895 2257906 2258190 2258217) (-1292 "VSPACE.spad" 2257588 2257601 2257885 2257890) (-1291 "VOID.spad" 2257265 2257274 2257578 2257583) (-1290 "VIEW.spad" 2254945 2254954 2257255 2257260) (-1289 "VIEWDEF.spad" 2250146 2250155 2254935 2254940) (-1288 "VIEW3D.spad" 2234107 2234116 2250136 2250141) (-1287 "VIEW2D.spad" 2221998 2222007 2234097 2234102) (-1286 "VECTOR.spad" 2220519 2220530 2220770 2220797) (-1285 "VECTOR2.spad" 2219158 2219171 2220509 2220514) (-1284 "VECTCAT.spad" 2217062 2217073 2219126 2219153) (-1283 "VECTCAT.spad" 2214773 2214786 2216839 2216844) (-1282 "VARIABLE.spad" 2214553 2214568 2214763 2214768) (-1281 "UTYPE.spad" 2214197 2214206 2214543 2214548) (-1280 "UTSODETL.spad" 2213492 2213516 2214153 2214158) (-1279 "UTSODE.spad" 2211708 2211728 2213482 2213487) (-1278 "UTS.spad" 2206655 2206683 2210175 2210272) (-1277 "UTSCAT.spad" 2204134 2204150 2206553 2206650) (-1276 "UTSCAT.spad" 2201257 2201275 2203678 2203683) (-1275 "UTS2.spad" 2200852 2200887 2201247 2201252) (-1274 "URAGG.spad" 2195525 2195536 2200842 2200847) (-1273 "URAGG.spad" 2190162 2190175 2195481 2195486) (-1272 "UPXSSING.spad" 2187807 2187833 2189243 2189376) (-1271 "UPXS.spad" 2185103 2185131 2185939 2186088) (-1270 "UPXSCONS.spad" 2182862 2182882 2183235 2183384) (-1269 "UPXSCCA.spad" 2181433 2181453 2182708 2182857) (-1268 "UPXSCCA.spad" 2180146 2180168 2181423 2181428) (-1267 "UPXSCAT.spad" 2178735 2178751 2179992 2180141) (-1266 "UPXS2.spad" 2178278 2178331 2178725 2178730) (-1265 "UPSQFREE.spad" 2176692 2176706 2178268 2178273) (-1264 "UPSCAT.spad" 2174479 2174503 2176590 2176687) (-1263 "UPSCAT.spad" 2171972 2171998 2174085 2174090) (-1262 "UPOLYC.spad" 2167012 2167023 2171814 2171967) (-1261 "UPOLYC.spad" 2161944 2161957 2166748 2166753) (-1260 "UPOLYC2.spad" 2161415 2161434 2161934 2161939) (-1259 "UP.spad" 2158521 2158536 2158908 2159061) (-1258 "UPMP.spad" 2157421 2157434 2158511 2158516) (-1257 "UPDIVP.spad" 2156986 2157000 2157411 2157416) (-1256 "UPDECOMP.spad" 2155231 2155245 2156976 2156981) (-1255 "UPCDEN.spad" 2154440 2154456 2155221 2155226) (-1254 "UP2.spad" 2153804 2153825 2154430 2154435) (-1253 "UNISEG.spad" 2153157 2153168 2153723 2153728) (-1252 "UNISEG2.spad" 2152654 2152667 2153113 2153118) (-1251 "UNIFACT.spad" 2151757 2151769 2152644 2152649) (-1250 "ULS.spad" 2141541 2141569 2142486 2142915) (-1249 "ULSCONS.spad" 2132675 2132695 2133045 2133194) (-1248 "ULSCCAT.spad" 2130412 2130432 2132521 2132670) (-1247 "ULSCCAT.spad" 2128257 2128279 2130368 2130373) (-1246 "ULSCAT.spad" 2126489 2126505 2128103 2128252) (-1245 "ULS2.spad" 2126003 2126056 2126479 2126484) (-1244 "UINT8.spad" 2125880 2125889 2125993 2125998) (-1243 "UINT64.spad" 2125756 2125765 2125870 2125875) (-1242 "UINT32.spad" 2125632 2125641 2125746 2125751) (-1241 "UINT16.spad" 2125508 2125517 2125622 2125627) (-1240 "UFD.spad" 2124573 2124582 2125434 2125503) (-1239 "UFD.spad" 2123700 2123711 2124563 2124568) (-1238 "UDVO.spad" 2122581 2122590 2123690 2123695) (-1237 "UDPO.spad" 2120074 2120085 2122537 2122542) (-1236 "TYPE.spad" 2120006 2120015 2120064 2120069) (-1235 "TYPEAST.spad" 2119925 2119934 2119996 2120001) (-1234 "TWOFACT.spad" 2118577 2118592 2119915 2119920) (-1233 "TUPLE.spad" 2118063 2118074 2118476 2118481) (-1232 "TUBETOOL.spad" 2114930 2114939 2118053 2118058) (-1231 "TUBE.spad" 2113577 2113594 2114920 2114925) (-1230 "TS.spad" 2112176 2112192 2113142 2113239) (-1229 "TSETCAT.spad" 2099303 2099320 2112144 2112171) (-1228 "TSETCAT.spad" 2086416 2086435 2099259 2099264) (-1227 "TRMANIP.spad" 2080782 2080799 2086122 2086127) (-1226 "TRIMAT.spad" 2079745 2079770 2080772 2080777) (-1225 "TRIGMNIP.spad" 2078272 2078289 2079735 2079740) (-1224 "TRIGCAT.spad" 2077784 2077793 2078262 2078267) (-1223 "TRIGCAT.spad" 2077294 2077305 2077774 2077779) (-1222 "TREE.spad" 2075752 2075763 2076784 2076811) (-1221 "TRANFUN.spad" 2075591 2075600 2075742 2075747) (-1220 "TRANFUN.spad" 2075428 2075439 2075581 2075586) (-1219 "TOPSP.spad" 2075102 2075111 2075418 2075423) (-1218 "TOOLSIGN.spad" 2074765 2074776 2075092 2075097) (-1217 "TEXTFILE.spad" 2073326 2073335 2074755 2074760) (-1216 "TEX.spad" 2070472 2070481 2073316 2073321) (-1215 "TEX1.spad" 2070028 2070039 2070462 2070467) (-1214 "TEMUTL.spad" 2069583 2069592 2070018 2070023) (-1213 "TBCMPPK.spad" 2067676 2067699 2069573 2069578) (-1212 "TBAGG.spad" 2066726 2066749 2067656 2067671) (-1211 "TBAGG.spad" 2065784 2065809 2066716 2066721) (-1210 "TANEXP.spad" 2065192 2065203 2065774 2065779) (-1209 "TALGOP.spad" 2064916 2064927 2065182 2065187) (-1208 "TABLE.spad" 2062885 2062908 2063155 2063182) (-1207 "TABLEAU.spad" 2062366 2062377 2062875 2062880) (-1206 "TABLBUMP.spad" 2059169 2059180 2062356 2062361) (-1205 "SYSTEM.spad" 2058397 2058406 2059159 2059164) (-1204 "SYSSOLP.spad" 2055880 2055891 2058387 2058392) (-1203 "SYSPTR.spad" 2055779 2055788 2055870 2055875) (-1202 "SYSNNI.spad" 2054961 2054972 2055769 2055774) (-1201 "SYSINT.spad" 2054365 2054376 2054951 2054956) (-1200 "SYNTAX.spad" 2050571 2050580 2054355 2054360) (-1199 "SYMTAB.spad" 2048639 2048648 2050561 2050566) (-1198 "SYMS.spad" 2044662 2044671 2048629 2048634) (-1197 "SYMPOLY.spad" 2043669 2043680 2043751 2043878) (-1196 "SYMFUNC.spad" 2043170 2043181 2043659 2043664) (-1195 "SYMBOL.spad" 2040673 2040682 2043160 2043165) (-1194 "SWITCH.spad" 2037444 2037453 2040663 2040668) (-1193 "SUTS.spad" 2034492 2034520 2035911 2036008) (-1192 "SUPXS.spad" 2031775 2031803 2032624 2032773) (-1191 "SUP.spad" 2028495 2028506 2029268 2029421) (-1190 "SUPFRACF.spad" 2027600 2027618 2028485 2028490) (-1189 "SUP2.spad" 2026992 2027005 2027590 2027595) (-1188 "SUMRF.spad" 2025966 2025977 2026982 2026987) (-1187 "SUMFS.spad" 2025603 2025620 2025956 2025961) (-1186 "SULS.spad" 2015374 2015402 2016332 2016761) (-1185 "SUCHTAST.spad" 2015143 2015152 2015364 2015369) (-1184 "SUCH.spad" 2014825 2014840 2015133 2015138) (-1183 "SUBSPACE.spad" 2006940 2006955 2014815 2014820) (-1182 "SUBRESP.spad" 2006110 2006124 2006896 2006901) (-1181 "STTF.spad" 2002209 2002225 2006100 2006105) (-1180 "STTFNC.spad" 1998677 1998693 2002199 2002204) (-1179 "STTAYLOR.spad" 1991312 1991323 1998558 1998563) (-1178 "STRTBL.spad" 1989363 1989380 1989512 1989539) (-1177 "STRING.spad" 1988150 1988159 1988371 1988398) (-1176 "STREAM.spad" 1984951 1984962 1987558 1987573) (-1175 "STREAM3.spad" 1984524 1984539 1984941 1984946) (-1174 "STREAM2.spad" 1983652 1983665 1984514 1984519) (-1173 "STREAM1.spad" 1983358 1983369 1983642 1983647) (-1172 "STINPROD.spad" 1982294 1982310 1983348 1983353) (-1171 "STEP.spad" 1981495 1981504 1982284 1982289) (-1170 "STEPAST.spad" 1980729 1980738 1981485 1981490) (-1169 "STBL.spad" 1978813 1978841 1978980 1978995) (-1168 "STAGG.spad" 1977888 1977899 1978803 1978808) (-1167 "STAGG.spad" 1976961 1976974 1977878 1977883) (-1166 "STACK.spad" 1976201 1976212 1976451 1976478) (-1165 "SREGSET.spad" 1973869 1973886 1975811 1975838) (-1164 "SRDCMPK.spad" 1972430 1972450 1973859 1973864) (-1163 "SRAGG.spad" 1967573 1967582 1972398 1972425) (-1162 "SRAGG.spad" 1962736 1962747 1967563 1967568) (-1161 "SQMATRIX.spad" 1960279 1960297 1961195 1961282) (-1160 "SPLTREE.spad" 1954675 1954688 1959559 1959586) (-1159 "SPLNODE.spad" 1951263 1951276 1954665 1954670) (-1158 "SPFCAT.spad" 1950072 1950081 1951253 1951258) (-1157 "SPECOUT.spad" 1948624 1948633 1950062 1950067) (-1156 "SPADXPT.spad" 1940219 1940228 1948614 1948619) (-1155 "spad-parser.spad" 1939684 1939693 1940209 1940214) (-1154 "SPADAST.spad" 1939385 1939394 1939674 1939679) (-1153 "SPACEC.spad" 1923584 1923595 1939375 1939380) (-1152 "SPACE3.spad" 1923360 1923371 1923574 1923579) (-1151 "SORTPAK.spad" 1922909 1922922 1923316 1923321) (-1150 "SOLVETRA.spad" 1920672 1920683 1922899 1922904) (-1149 "SOLVESER.spad" 1919200 1919211 1920662 1920667) (-1148 "SOLVERAD.spad" 1915226 1915237 1919190 1919195) (-1147 "SOLVEFOR.spad" 1913688 1913706 1915216 1915221) (-1146 "SNTSCAT.spad" 1913288 1913305 1913656 1913683) (-1145 "SMTS.spad" 1911560 1911586 1912853 1912950) (-1144 "SMP.spad" 1909035 1909055 1909425 1909552) (-1143 "SMITH.spad" 1907880 1907905 1909025 1909030) (-1142 "SMATCAT.spad" 1905990 1906020 1907824 1907875) (-1141 "SMATCAT.spad" 1904032 1904064 1905868 1905873) (-1140 "SKAGG.spad" 1902995 1903006 1904000 1904027) (-1139 "SINT.spad" 1901935 1901944 1902861 1902990) (-1138 "SIMPAN.spad" 1901663 1901672 1901925 1901930) (-1137 "SIG.spad" 1900993 1901002 1901653 1901658) (-1136 "SIGNRF.spad" 1900111 1900122 1900983 1900988) (-1135 "SIGNEF.spad" 1899390 1899407 1900101 1900106) (-1134 "SIGAST.spad" 1898775 1898784 1899380 1899385) (-1133 "SHP.spad" 1896703 1896718 1898731 1898736) (-1132 "SHDP.spad" 1884381 1884408 1884890 1884989) (-1131 "SGROUP.spad" 1883989 1883998 1884371 1884376) (-1130 "SGROUP.spad" 1883595 1883606 1883979 1883984) (-1129 "SGCF.spad" 1876734 1876743 1883585 1883590) (-1128 "SFRTCAT.spad" 1875664 1875681 1876702 1876729) (-1127 "SFRGCD.spad" 1874727 1874747 1875654 1875659) (-1126 "SFQCMPK.spad" 1869364 1869384 1874717 1874722) (-1125 "SFORT.spad" 1868803 1868817 1869354 1869359) (-1124 "SEXOF.spad" 1868646 1868686 1868793 1868798) (-1123 "SEX.spad" 1868538 1868547 1868636 1868641) (-1122 "SEXCAT.spad" 1866310 1866350 1868528 1868533) (-1121 "SET.spad" 1864598 1864609 1865695 1865734) (-1120 "SETMN.spad" 1863048 1863065 1864588 1864593) (-1119 "SETCAT.spad" 1862370 1862379 1863038 1863043) (-1118 "SETCAT.spad" 1861690 1861701 1862360 1862365) (-1117 "SETAGG.spad" 1858239 1858250 1861670 1861685) (-1116 "SETAGG.spad" 1854796 1854809 1858229 1858234) (-1115 "SEQAST.spad" 1854499 1854508 1854786 1854791) (-1114 "SEGXCAT.spad" 1853655 1853668 1854489 1854494) (-1113 "SEG.spad" 1853468 1853479 1853574 1853579) (-1112 "SEGCAT.spad" 1852393 1852404 1853458 1853463) (-1111 "SEGBIND.spad" 1852151 1852162 1852340 1852345) (-1110 "SEGBIND2.spad" 1851849 1851862 1852141 1852146) (-1109 "SEGAST.spad" 1851563 1851572 1851839 1851844) (-1108 "SEG2.spad" 1850998 1851011 1851519 1851524) (-1107 "SDVAR.spad" 1850274 1850285 1850988 1850993) (-1106 "SDPOL.spad" 1847607 1847618 1847898 1848025) (-1105 "SCPKG.spad" 1845696 1845707 1847597 1847602) (-1104 "SCOPE.spad" 1844849 1844858 1845686 1845691) (-1103 "SCACHE.spad" 1843545 1843556 1844839 1844844) (-1102 "SASTCAT.spad" 1843454 1843463 1843535 1843540) (-1101 "SAOS.spad" 1843326 1843335 1843444 1843449) (-1100 "SAERFFC.spad" 1843039 1843059 1843316 1843321) (-1099 "SAE.spad" 1840509 1840525 1841120 1841255) (-1098 "SAEFACT.spad" 1840210 1840230 1840499 1840504) (-1097 "RURPK.spad" 1837869 1837885 1840200 1840205) (-1096 "RULESET.spad" 1837322 1837346 1837859 1837864) (-1095 "RULE.spad" 1835562 1835586 1837312 1837317) (-1094 "RULECOLD.spad" 1835414 1835427 1835552 1835557) (-1093 "RTVALUE.spad" 1835149 1835158 1835404 1835409) (-1092 "RSTRCAST.spad" 1834866 1834875 1835139 1835144) (-1091 "RSETGCD.spad" 1831244 1831264 1834856 1834861) (-1090 "RSETCAT.spad" 1821180 1821197 1831212 1831239) (-1089 "RSETCAT.spad" 1811136 1811155 1821170 1821175) (-1088 "RSDCMPK.spad" 1809588 1809608 1811126 1811131) (-1087 "RRCC.spad" 1807972 1808002 1809578 1809583) (-1086 "RRCC.spad" 1806354 1806386 1807962 1807967) (-1085 "RPTAST.spad" 1806056 1806065 1806344 1806349) (-1084 "RPOLCAT.spad" 1785416 1785431 1805924 1806051) (-1083 "RPOLCAT.spad" 1764489 1764506 1784999 1785004) (-1082 "ROUTINE.spad" 1759910 1759919 1762674 1762701) (-1081 "ROMAN.spad" 1759238 1759247 1759776 1759905) (-1080 "ROIRC.spad" 1758318 1758350 1759228 1759233) (-1079 "RNS.spad" 1757221 1757230 1758220 1758313) (-1078 "RNS.spad" 1756210 1756221 1757211 1757216) (-1077 "RNG.spad" 1755945 1755954 1756200 1756205) (-1076 "RNGBIND.spad" 1755105 1755119 1755900 1755905) (-1075 "RMODULE.spad" 1754870 1754881 1755095 1755100) (-1074 "RMCAT2.spad" 1754290 1754347 1754860 1754865) (-1073 "RMATRIX.spad" 1753078 1753097 1753421 1753460) (-1072 "RMATCAT.spad" 1748657 1748688 1753034 1753073) (-1071 "RMATCAT.spad" 1744126 1744159 1748505 1748510) (-1070 "RLINSET.spad" 1743830 1743841 1744116 1744121) (-1069 "RINTERP.spad" 1743718 1743738 1743820 1743825) (-1068 "RING.spad" 1743188 1743197 1743698 1743713) (-1067 "RING.spad" 1742666 1742677 1743178 1743183) (-1066 "RIDIST.spad" 1742058 1742067 1742656 1742661) (-1065 "RGCHAIN.spad" 1740586 1740602 1741488 1741515) (-1064 "RGBCSPC.spad" 1740367 1740379 1740576 1740581) (-1063 "RGBCMDL.spad" 1739897 1739909 1740357 1740362) (-1062 "RF.spad" 1737539 1737550 1739887 1739892) (-1061 "RFFACTOR.spad" 1737001 1737012 1737529 1737534) (-1060 "RFFACT.spad" 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(-647 "LIE.spad" 1015254 1015266 1016528 1016673) (-646 "LIECAT.spad" 1014730 1014740 1015180 1015249) (-645 "LIECAT.spad" 1014234 1014246 1014686 1014691) (-644 "LIB.spad" 1011985 1011993 1012431 1012446) (-643 "LGROBP.spad" 1009338 1009357 1011975 1011980) (-642 "LF.spad" 1008293 1008309 1009328 1009333) (-641 "LFCAT.spad" 1007352 1007360 1008283 1008288) (-640 "LEXTRIPK.spad" 1002855 1002870 1007342 1007347) (-639 "LEXP.spad" 1000858 1000885 1002835 1002850) (-638 "LETAST.spad" 1000557 1000565 1000848 1000853) (-637 "LEADCDET.spad" 998955 998972 1000547 1000552) (-636 "LAZM3PK.spad" 997659 997681 998945 998950) (-635 "LAUPOL.spad" 996259 996272 997159 997228) (-634 "LAPLACE.spad" 995842 995858 996249 996254) (-633 "LA.spad" 995282 995296 995764 995803) (-632 "LALG.spad" 995058 995068 995262 995277) (-631 "LALG.spad" 994842 994854 995048 995053) (-630 "KVTFROM.spad" 994577 994587 994832 994837) (-629 "KTVLOGIC.spad" 994089 994097 994567 994572) (-628 "KRCFROM.spad" 993827 993837 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(-159 "COMBF.spad" 179997 180013 182605 182610) (-158 "COLOR.spad" 178834 178842 179987 179992) (-157 "COLONAST.spad" 178500 178508 178824 178829) (-156 "CMPLXRT.spad" 178211 178228 178490 178495) (-155 "CLLCTAST.spad" 177873 177881 178201 178206) (-154 "CLIP.spad" 173981 173989 177863 177868) (-153 "CLIF.spad" 172636 172652 173937 173976) (-152 "CLAGG.spad" 169141 169151 172626 172631) (-151 "CLAGG.spad" 165517 165529 169004 169009) (-150 "CINTSLPE.spad" 164848 164861 165507 165512) (-149 "CHVAR.spad" 162986 163008 164838 164843) (-148 "CHARZ.spad" 162901 162909 162966 162981) (-147 "CHARPOL.spad" 162411 162421 162891 162896) (-146 "CHARNZ.spad" 162164 162172 162391 162406) (-145 "CHAR.spad" 160038 160046 162154 162159) (-144 "CFCAT.spad" 159366 159374 160028 160033) (-143 "CDEN.spad" 158562 158576 159356 159361) (-142 "CCLASS.spad" 156673 156681 157935 157974) (-141 "CATEGORY.spad" 155715 155723 156663 156668) (-140 "CATCTOR.spad" 155606 155614 155705 155710) (-139 "CATAST.spad" 155224 155232 155596 155601) (-138 "CASEAST.spad" 154938 154946 155214 155219) (-137 "CARTEN.spad" 150305 150329 154928 154933) (-136 "CARTEN2.spad" 149695 149722 150295 150300) (-135 "CARD.spad" 146990 146998 149669 149690) (-134 "CAPSLAST.spad" 146764 146772 146980 146985) (-133 "CACHSET.spad" 146388 146396 146754 146759) (-132 "CABMON.spad" 145943 145951 146378 146383) (-131 "BYTEORD.spad" 145618 145626 145933 145938) (-130 "BYTE.spad" 145045 145053 145608 145613) (-129 "BYTEBUF.spad" 142743 142751 144053 144080) (-128 "BTREE.spad" 141699 141709 142233 142260) (-127 "BTOURN.spad" 140587 140597 141189 141216) (-126 "BTCAT.spad" 139979 139989 140555 140582) (-125 "BTCAT.spad" 139391 139403 139969 139974) (-124 "BTAGG.spad" 138857 138865 139359 139386) (-123 "BTAGG.spad" 138343 138353 138847 138852) (-122 "BSTREE.spad" 136967 136977 137833 137860) (-121 "BRILL.spad" 135164 135175 136957 136962) (-120 "BRAGG.spad" 134104 134114 135154 135159) (-119 "BRAGG.spad" 133008 133020 134060 134065) (-118 "BPADICRT.spad" 130882 130894 131137 131230) (-117 "BPADIC.spad" 130546 130558 130808 130877) (-116 "BOUNDZRO.spad" 130202 130219 130536 130541) (-115 "BOP.spad" 125384 125392 130192 130197) (-114 "BOP1.spad" 122850 122860 125374 125379) (-113 "BOOLE.spad" 122500 122508 122840 122845) (-112 "BOOLEAN.spad" 121938 121946 122490 122495) (-111 "BMODULE.spad" 121650 121662 121906 121933) (-110 "BITS.spad" 121033 121041 121248 121275) (-109 "BINDING.spad" 120446 120454 121023 121028) (-108 "BINARY.spad" 118460 118468 118816 118909) (-107 "BGAGG.spad" 117665 117675 118440 118455) (-106 "BGAGG.spad" 116878 116890 117655 117660) (-105 "BFUNCT.spad" 116442 116450 116858 116873) (-104 "BEZOUT.spad" 115582 115609 116392 116397) (-103 "BBTREE.spad" 112310 112320 115072 115099) (-102 "BASTYPE.spad" 111982 111990 112300 112305) (-101 "BASTYPE.spad" 111652 111662 111972 111977) (-100 "BALFACT.spad" 111111 111124 111642 111647) (-99 "AUTOMOR.spad" 110562 110571 111091 111106) (-98 "ATTREG.spad" 107285 107292 110314 110557) (-97 "ATTRBUT.spad" 103308 103315 107265 107280) (-96 "ATTRAST.spad" 103025 103032 103298 103303) (-95 "ATRIG.spad" 102495 102502 103015 103020) (-94 "ATRIG.spad" 101963 101972 102485 102490) (-93 "ASTCAT.spad" 101867 101874 101953 101958) (-92 "ASTCAT.spad" 101769 101778 101857 101862) (-91 "ASTACK.spad" 100991 101000 101259 101286) (-90 "ASSOCEQ.spad" 99817 99828 100947 100952) (-89 "ASP9.spad" 98898 98911 99807 99812) (-88 "ASP8.spad" 97941 97954 98888 98893) (-87 "ASP80.spad" 97263 97276 97931 97936) (-86 "ASP7.spad" 96423 96436 97253 97258) (-85 "ASP78.spad" 95874 95887 96413 96418) (-84 "ASP77.spad" 95243 95256 95864 95869) (-83 "ASP74.spad" 94335 94348 95233 95238) (-82 "ASP73.spad" 93606 93619 94325 94330) (-81 "ASP6.spad" 92473 92486 93596 93601) (-80 "ASP55.spad" 90982 90995 92463 92468) (-79 "ASP50.spad" 88799 88812 90972 90977) (-78 "ASP4.spad" 88094 88107 88789 88794) (-77 "ASP49.spad" 87093 87106 88084 88089) (-76 "ASP42.spad" 85500 85539 87083 87088) (-75 "ASP41.spad" 84079 84118 85490 85495) (-74 "ASP35.spad" 83067 83080 84069 84074) (-73 "ASP34.spad" 82368 82381 83057 83062) (-72 "ASP33.spad" 81928 81941 82358 82363) (-71 "ASP31.spad" 81068 81081 81918 81923) (-70 "ASP30.spad" 79960 79973 81058 81063) (-69 "ASP29.spad" 79426 79439 79950 79955) (-68 "ASP28.spad" 70699 70712 79416 79421) (-67 "ASP27.spad" 69596 69609 70689 70694) (-66 "ASP24.spad" 68683 68696 69586 69591) (-65 "ASP20.spad" 68147 68160 68673 68678) (-64 "ASP1.spad" 67528 67541 68137 68142) (-63 "ASP19.spad" 62214 62227 67518 67523) (-62 "ASP12.spad" 61628 61641 62204 62209) (-61 "ASP10.spad" 60899 60912 61618 61623) (-60 "ARRAY2.spad" 60142 60151 60389 60416) (-59 "ARRAY1.spad" 58826 58835 59172 59199) (-58 "ARRAY12.spad" 57539 57550 58816 58821) (-57 "ARR2CAT.spad" 53313 53334 57507 57534) (-56 "ARR2CAT.spad" 49107 49130 53303 53308) (-55 "ARITY.spad" 48479 48486 49097 49102) (-54 "APPRULE.spad" 47739 47761 48469 48474) (-53 "APPLYORE.spad" 47358 47371 47729 47734) (-52 "ANY.spad" 46217 46224 47348 47353) (-51 "ANY1.spad" 45288 45297 46207 46212) (-50 "ANTISYM.spad" 43733 43749 45268 45283) (-49 "ANON.spad" 43426 43433 43723 43728) (-48 "AN.spad" 41735 41742 43242 43335) (-47 "AMR.spad" 39920 39931 41633 41730) (-46 "AMR.spad" 37942 37955 39657 39662) (-45 "ALIST.spad" 34842 34863 35192 35219) (-44 "ALGSC.spad" 33977 34003 34714 34767) (-43 "ALGPKG.spad" 29760 29771 33933 33938) (-42 "ALGMFACT.spad" 28953 28967 29750 29755) (-41 "ALGMANIP.spad" 26427 26442 28786 28791) (-40 "ALGFF.spad" 24068 24095 24285 24441) (-39 "ALGFACT.spad" 23195 23205 24058 24063) (-38 "ALGEBRA.spad" 23028 23037 23151 23190) (-37 "ALGEBRA.spad" 22893 22904 23018 23023) (-36 "ALAGG.spad" 22405 22426 22861 22888) (-35 "AHYP.spad" 21786 21793 22395 22400) (-34 "AGG.spad" 20103 20110 21776 21781) (-33 "AGG.spad" 18384 18393 20059 20064) (-32 "AF.spad" 16815 16830 18319 18324) (-31 "ADDAST.spad" 16493 16500 16805 16810) (-30 "ACPLOT.spad" 15084 15091 16483 16488) (-29 "ACFS.spad" 12893 12902 14986 15079) (-28 "ACFS.spad" 10788 10799 12883 12888) (-27 "ACF.spad" 7470 7477 10690 10783) (-26 "ACF.spad" 4238 4247 7460 7465) (-25 "ABELSG.spad" 3779 3786 4228 4233) (-24 "ABELSG.spad" 3318 3327 3769 3774) (-23 "ABELMON.spad" 2861 2868 3308 3313) (-22 "ABELMON.spad" 2402 2411 2851 2856) (-21 "ABELGRP.spad" 2067 2074 2392 2397) (-20 "ABELGRP.spad" 1730 1739 2057 2062) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865))
\ No newline at end of file diff --git a/src/share/algebra/category.daase b/src/share/algebra/category.daase index e4606549..c3aa62cb 100644 --- a/src/share/algebra/category.daase +++ b/src/share/algebra/category.daase @@ -1,5 +1,5 @@ -(203818 . 3486628458) +(203818 . 3486658196) (((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1119))) ((#0=(-2 (|:| -4300 |#1|) (|:| -4391 |#2|)) #0#) |has| (-2 (|:| -4300 |#1|) (|:| -4391 |#2|)) (-319 (-2 (|:| -4300 |#1|) (|:| -4391 |#2|))))) ((((-576)) . T) (($) -2781 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (((-419 (-576))) -2781 (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-1057 (-419 (-576))))) ((|#1|) . T)) (((|#2| |#2|) . T)) @@ -75,7 +75,7 @@ ((((-576)) . T) (((-419 (-576))) -2781 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1057 (-419 (-576))))) ((|#2|) . T) (($) -2781 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926))) (((-876 |#1|)) . T)) (-2781 (|has| |#1| (-374)) (|has| |#1| (-568))) (-2781 (|has| |#1| (-374)) (|has| |#1| (-568))) -((((-2 (|:| -3227 |#1|) (|:| -2018 |#2|))) . T)) +((((-2 (|:| -3227 |#1|) (|:| -2795 |#2|))) . T)) ((($) . T)) ((((-576)) . T) (((-419 (-576))) -2781 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1057 (-419 (-576))))) ((|#1|) . T) (($) -2781 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) (((-1195)) . T)) ((((-874)) -2781 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1119)))) @@ -309,11 +309,11 @@ ((((-548)) |has| |#2| (-626 (-548))) (((-905 (-390))) |has| |#2| (-626 (-905 (-390)))) (((-905 (-576))) |has| |#2| (-626 (-905 (-576))))) ((((-874)) . T)) (((|#1| |#2| |#3| |#4|) . T)) -((((-2 (|:| -3227 |#1|) (|:| -2018 |#2|))) . T) (((-874)) . T)) +((((-2 (|:| -3227 |#1|) (|:| -2795 |#2|))) . T) (((-874)) . T)) ((((-548)) |has| |#1| (-626 (-548))) (((-905 (-390))) |has| |#1| (-626 (-905 (-390)))) (((-905 (-576))) |has| |#1| (-626 (-905 (-576))))) (((|#4|) -2781 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-1068)))) (((|#3|) -2781 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1068)))) -((((-2 (|:| -3227 |#1|) (|:| -2018 |#2|))) . T)) +((((-2 (|:| -3227 |#1|) (|:| -2795 |#2|))) . T)) ((((-874)) . T)) ((((-874)) . T)) ((((-548)) . T) (((-576)) . T) (((-905 (-576))) . T) (((-390)) . T) (((-227)) . T)) diff --git a/src/share/algebra/compress.daase b/src/share/algebra/compress.daase index 8b64c5b5..4a05c0f7 100644 --- a/src/share/algebra/compress.daase +++ b/src/share/algebra/compress.daase @@ -1,5 +1,5 @@ -(30 . 3486628447) +(30 . 3486658186) (4465 |Enumeration| |Mapping| |Record| |Union| |ofCategory| |isDomain| ATTRIBUTE |package| |domain| |category| CATEGORY |nobranch| AND |Join| |ofType| SIGNATURE "failed" "algebra" |OneDimensionalArrayAggregate&| @@ -488,666 +488,664 @@ |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |YoungDiagram| |ParadoxicalCombinatorsForStreams| |ZeroDimensionalSolvePackage| |IntegerLinearDependence| |IntegerMod| |Enumeration| |Mapping| - |Record| |Union| |setvalue!| |llprop| |symmetricProduct| |denomRicDE| - |stirling2| |match| |save| |internalSubPolSet?| - |rationalApproximation| |string| |rightUnits| |lp| |currentScope| - |float?| |setImagSteps| |root| |getVariableOrder| |groebSolve| - |degreeSubResultantEuclidean| |infix| |numberOfPrimitivePoly| - |innerSolve1| |factorByRecursion| |lastSubResultantElseSplit| - |tubePlot| |OMUnknownCD?| |mesh?| |semicolonSeparate| |hconcat| - |badNum| |transcendenceDegree| |extensionDegree| |title| - |associative?| |identification| |nothing| |f02ajf| - |lastSubResultantEuclidean| |bfEntry| |lllp| |rightDiscriminant| - |removeIrreducibleRedundantFactors| |acschIfCan| |clikeUniv| - |fortranDouble| |predicate| |printCode| |tanIfCan| |besselI| - |newTypeLists| |coercePreimagesImages| |top| |optional?| |less?| - |leftRegularRepresentation| |rightTraceMatrix| |index?| |relerror| - |signatureAst| |e| |e02agf| |continue| |isPlus| - |resultantEuclideannaif| |LyndonCoordinates| |gcdcofact| |prime?| - |s20acf| |triangular?| |alternatingGroup| |optAttributes| - |eyeDistance| |readIfCan!| |getButtonValue| |s17agf| - |numberOfIrreduciblePoly| |linearAssociatedLog| |axesColorDefault| - |getExplanations| |brillhartIrreducible?| |string?| |startPolynomial| - |mappingMode| |anticoord| |bit?| |s18aef| |OMwrite| |power!| - |tubePointsDefault| |multiEuclideanTree| |hMonic| |constant| - |palgint0| |singleFactorBound| |jacobian| |bounds| |d02bbf| - |OMputEndApp| |unparse| |fortranCompilerName| |setCondition!| - |reciprocalPolynomial| |f02bbf| |hash| |zeroDim?| |characteristic| - |schwerpunkt| |monicRightDivide| |curryRight| |setRow!| |dequeue!| - |multiset| |linearPolynomials| ** |count| |rotatex| |repSq| - |tracePowMod| |hex| |rightNorm| |lfextendedint| |polyRicDE| |mantissa| - |bivariateSLPEBR| |parameters| |safeFloor| |OMgetError| |component| - |inGroundField?| |selectNonFiniteRoutines| |measure| - |internalSubQuasiComponent?| |splitSquarefree| - |setLegalFortranSourceExtensions| |color| |closedCurve| - |symmetricPower| |lambert| |multiplyExponents| |recoverAfterFail| - |algebraicCoefficients?| |OMUnknownSymbol?| |colorDef| |divideIfCan| - |radPoly| |laurentRep| |extendedIntegrate| |imagE| |youngGroup| - |substring?| |evaluate| |wholeRagits| |hasSolution?| - |leviCivitaSymbol| |c06gbf| |divisorCascade| |associatorDependence| - |innerEigenvectors| |mix| |cAsec| |coordinate| |elaborate| |quotient| - |OMgetFloat| |bombieriNorm| |iiasech| |testModulus| |isTimes| - |suffix?| |exprToUPS| |splitNodeOf!| |lazyResidueClass| |ef2edf| - |tan2trig| |cyclic| |expenseOfEvaluation| |innerSolve| |bernoulliB| - |isOp| |cfirst| |unitsColorDefault| |complexZeros| |argumentListOf| - |UpTriBddDenomInv| |iExquo| |OMputBVar| |prefix?| |doubleRank| |Is| - |remainder| |extractTop!| |vertConcat| |back| |linear?| - |showArrayValues| |variationOfParameters| |list?| |readUInt16!| - |branchPointAtInfinity?| |interpolate| |d01gaf| |coerceL| - |stoseInvertibleSetreg| |swapRows!| |determinant| |partition| |numer| - |retractIfCan| |viewDeltaYDefault| |rootNormalize| |algSplitSimple| - |f2st| |atanIfCan| |augment| |hexDigit| |cotIfCan| |rubiksGroup| - |denom| |qPot| |limit| |tanh2coth| |flagFactor| |cdr| |radicalRoots| - |OMputInteger| |indiceSubResultantEuclidean| |simpleBounds?| - |findCycle| |cAcoth| |bsolve| |elColumn2!| |returnType!| - |outlineRender| |maxint| |c02aff| |debug3D| |pi| |OMputEndObject| - |createGenericMatrix| |rootDirectory| |perspective| |formula| - |numberOfHues| |imaginary| |infix?| |e04fdf| |OMgetEndBind| - |initiallyReduce| |infinity| |sin2csc| |ptFunc| |listexp| - |insertRoot!| |mask| |totalDegree| |front| |f02fjf| |antisymmetric?| - |ptree| |completeSmith| |basisOfRightNucleus| |basisOfLeftNucloid| - |setScreenResolution| |sizeMultiplication| |tubePoints| |cyclicEqual?| - |lowerBound| |untab| |fintegrate| |critpOrder| |cTan| - |leftScalarTimes!| |e02dff| |step| |nilFactor| |dmp2rfi| - |functionIsFracPolynomial?| |magnitude| |hclf| |kernel| |solveid| - |decrease| |goodnessOfFit| |cycleRagits| |nrows| |concat| |host| - |OMencodingXML| |reverseLex| |factorset| |sinhIfCan| |list| - |constantOperator| |semiResultantEuclideannaif| |dimension| - |clearCache| |bivariatePolynomials| |ncols| |lhs| |eigenvectors| - |stoseSquareFreePart| |rootBound| |overset?| |draw| |fractionPart| - |unrankImproperPartitions1| |useSingleFactorBound?| |clipSurface| - |unrankImproperPartitions0| |rhs| |nextIrreduciblePoly| |read!| - |genericRightMinimalPolynomial| |satisfy?| |Si| |weighted| |iomode| - |curryLeft| |curve| |readByte!| |f07aef| |conditionP| - |screenResolution3D| |positive?| |connectTo| |monicRightFactorIfCan| - |zeroDimPrime?| |d03faf| |credPol| |currentEnv| |byteBuffer| - |generalizedContinuumHypothesisAssumed| |gethi| |mainKernel| - |frobenius| |rangeIsFinite| |countRealRoots| |df2mf| |categoryMode| - |invertIfCan| |binaryFunction| |complexForm| |s14aaf| |bumptab1| - |makeObject| |squareMatrix| |readUInt8!| |gcdprim| |listYoungTableaus| - |qelt| |clearTheSymbolTable| |representationType| |meshFun2Var| - |squareFreePolynomial| |linear| |enterPointData| |unitNormalize| - |coef| |transform| |bezoutMatrix| |exponential1| |qsetelt| - |continuedFraction| |d01apf| |singRicDE| |rightScalarTimes!| - |atanhIfCan| |deriv| |squareFree| |domainTemplate| |remove!| |xRange| - |internalZeroSetSplit| |assign| |extractBottom!| |lepol| - |normInvertible?| |quadraticForm| |polynomial| |d01anf| |wholeRadix| - |numberOfDivisors| |getGoodPrime| |ratpart| |yRange| |lazyPquo| - |groebnerFactorize| |linearDependence| |extension| |unmakeSUP| - |alternating| |createMultiplicationTable| |iflist2Result| - |pointColorDefault| |s19abf| |zRange| |child?| |normalized?| |gensym| - |part?| |decompose| |sort| |palgextint0| |derivative| |makeSeries| - |complex?| |map!| |outputAsScript| |getOperator| |squareFreePrim| - |whitePoint| |directSum| |dAndcExp| |dec| |e02ddf| |topPredicate| - |qsetelt!| |quotientByP| |normalizeAtInfinity| - |removeRoughlyRedundantFactorsInPol| |jordanAlgebra?| |OMputEndAtp| - |rationalPoints| |setTopPredicate| |deepestTail| |reduced?| - |OMunhandledSymbol| |kind| |repeating?| |bumprow| |length| - |oneDimensionalArray| |sh| |showTheIFTable| |firstDenom| |d01aqf| - |factorSquareFree| |deleteRoutine!| |binary| |op| |setelt!| |scripts| - |ratPoly| |prevPrime| |extractIndex| |random| |zeroDimPrimary?| - |multiple?| |univariate| |resetBadValues| |makeVariable| |e01bhf| - |vectorise| |rootRadius| |iiacsc| |constantIfCan| SEGMENT - |basisOfRightAnnihilator| |exportedOperators| |gramschmidt| - |environment| |iisec| |divergence| |integerBound| |copyInto!| - |normalForm| |unaryFunction| |countRealRootsMultiple| |shallowCopy| - |rdregime| |acsch| |generalizedEigenvector| |bracket| |swap!| - |LyndonWordsList| |generalizedEigenvectors| |iiacos| |divide| |factor| - |minRowIndex| |buildSyntax| |multinomial| |useNagFunctions| |linears| - |pushNewContour| |indices| |comp| |jacobiIdentity?| |const| |elements| - |sqrt| |triangSolve| |trailingCoefficient| |dmpToHdmp| |depth| - |twoFactor| |fortranInteger| |hasTopPredicate?| |palgint| |squareTop| - |semiResultantEuclidean2| |real| |setMaxPoints3D| - |stoseInvertible?reg| |rootSimp| |union| |iisqrt3| |f02xef| |f01bsf| - |cyclicCopy| |totalfract| |eigenvector| |trueEqual| |imag| |nthRoot| - |identity| |halfExtendedResultant2| |getProperty| |setEpilogue!| - |PollardSmallFactor| |even?| |gcdPrimitive| |directProduct| - |factorOfDegree| |symmetricGroup| |cyclotomic| |normalElement| - |rename| |upperCase?| |localAbs| |permutation| |readLineIfCan!| - |removeZero| |moebiusMu| |makingStats?| |expintegrate| - |primitivePart!| |applyRules| |mindeg| |in?| |nextPartition| - |exponents| |primPartElseUnitCanonical| |brace| |stFunc1| |e02bdf| - |nextSublist| |arguments| |createIrreduciblePoly| |mapUnivariate| - |insert!| |fglmIfCan| |numeric| |copy| |uncouplingMatrices| - |validExponential| |noValueMode| |destruct| |saturate| |distFact| - |radical| |inf| |chiSquare| |UnVectorise| |rquo| |rectangularMatrix| - |identitySquareMatrix| |surface| |expint| |toseLastSubResultant| - |OMserve| |rarrow| |createPrimitivePoly| |lazyGintegrate| - |zeroSetSplitIntoTriangularSystems| |bits| |setOrder| |elRow2!| - |totalGroebner| |OMconnectTCP| |mathieu23| GF2FG |primitiveElement| - |makeTerm| |iiacoth| |ScanRoman| |rk4| |norm| |fprindINFO| |prem| - |coefChoose| |OMsupportsCD?| |rightPower| |rk4qc| |definingPolynomial| - |monomial| |OMsupportsSymbol?| |stripCommentsAndBlanks| |match?| - |call| |curve?| |makeResult| |irreducibleFactors| |autoCoerce| - |setProperty| |rightGcd| |c06gcf| |multivariate| |monomialIntPoly| - |coHeight| |vspace| |factorSFBRlcUnit| |extendedEuclidean| - |roughBasicSet| |laplacian| |variables| |solveInField| |dihedral| - |sturmVariationsOf| |d01fcf| |prepareSubResAlgo| |points| - |inHallBasis?| |OMputAttr| |any?| |operation| |normalizeIfCan| - |selectAndPolynomials| |condition| |baseRDEsys| |csch2sinh| |range| - |systemSizeIF| |shellSort| |iitan| |edf2ef| |mapUnivariateIfCan| - |balancedFactorisation| |critM| |s17dcf| |sincos| |close| |cLog| - |tanQ| |ldf2vmf| |lazy?| |tablePow| F |bubbleSort!| |anfactor| - |digits| |baseRDE| |interpret| |integral| |htrigs| |putProperties| - |minus!| |fortranLiteralLine| |makeRecord| |singular?| |debug| - |fractRadix| |split!| |display| |pseudoDivide| |binaryTree| |legendre| - |roughEqualIdeals?| |omError| |wordsForStrongGenerators| |ceiling| - |sncndn| D |taylor| |upperCase!| |setchildren!| |pointSizeDefault| - |createNormalElement| |setProperties| |leaf?| |genericPosition| - |lazyIntegrate| |var2StepsDefault| |fibonacci| |s20adf| |laurent| - |checkForZero| |listRepresentation| |B1solve| |OMreadStr| |besselJ| - |leadingIdeal| |coord| |solveLinearlyOverQ| |puiseux| |gradient| - |minimumDegree| |var1StepsDefault| |exponent| |rational?| |quartic| - |oddInfiniteProduct| |mainExpression| |jordanAdmissible?| - |monicCompleteDecompose| |genericLeftTrace| |intChoose| |acosIfCan| - |ParCondList| |multiplyCoefficients| |s01eaf| |leftExtendedGcd| - |reindex| |irreducibleRepresentation| |stopTableGcd!| |primextintfrac| - |inv| |input| |arity| |removeSquaresIfCan| |generic| |varselect| - |binomial| |ode| |safetyMargin| |leftQuotient| |doubleDisc| |ground?| - |library| |monomRDEsys| |symmetricTensors| |dual| |toScale| - |replaceKthElement| EQ |mapSolve| |firstUncouplingMatrix| - |cycleSplit!| |ground| |postfix| |radicalEigenvectors| |dictionary| - |stFunc2| |diagonals| |makeYoungTableau| |univariateSolve| |vark| - |curveColorPalette| |conjunction| |leadingMonomial| |log2| - |pascalTriangle| |aspFilename| |solve1| |OMread| |wordInGenerators| - |setStatus!| |OMlistCDs| |readBytes!| |qualifier| |leadingCoefficient| - |c06ecf| |nextsousResultant2| |getProperties| |row| |rationalPower| - |mergeFactors| |setOfMinN| |size| |leftFactorIfCan| |OMgetEndAttr| - |oddintegers| |primitiveMonomials| |print| |set| |strongGenerators| - |leftOne| |hessian| |preprocess| |localIntegralBasis| |prinpolINFO| - |resolve| |findBinding| |viewport2D| |difference| |reductum| |Gamma| - |rationalPoint?| |build| |compactFraction| |startTable!| |car| - |universe| |irDef| |e01sbf| |fortran| |fixedPoint| |nextPrimitivePoly| - |property| |nextItem| |fixedPointExquo| |simplify| |s13aaf| - |partitions| |splitDenominator| |diophantineSystem| |expIfCan| - |midpoints| |makeEq| |divisors| |makeSin| |leadingSupport| UTS2UP - |setClosed| |closedCurve?| |chvar| |primitivePart| |one?| |pair?| - |ldf2lst| |generator| |HenselLift| |shufflein| |categories| |laplace| - |RemainderList| |purelyAlgebraicLeadingMonomial?| |virtualDegree| - |Vectorise| |lintgcd| |e02aef| |setprevious!| |getStream| - |integralAtInfinity?| |signAround| |leftFactor| |chineseRemainder| - |computeBasis| |asecIfCan| |true| |primeFrobenius| |trapezoidal| - |category| |tube| |s18aff| |asimpson| |sylvesterSequence| - |coerceImages| |cCsc| |modularGcdPrimitive| |null?| |setPoly| |rur| - |domain| |middle| |cSinh| |setleft!| |enumerate| |dioSolve| - |firstSubsetGray| |unary?| |collectUpper| |e01sff| |midpoint| - |package| |atoms| |node| |dualSignature| |myDegree| |removeSinSq| - |OMputEndBind| |insert| |normalizedDivide| |lazyEvaluate| |pushdown| - |lazyPrem| |hostByteOrder| |getMatch| |minimumExponent| - |initializeGroupForWordProblem| |argscript| |search| - |complexEigenvectors| |flatten| |show| |seed| |f07fef| - |fortranLinkerArgs| |repeating| |cycleEntry| |particularSolution| - |startStats!| |collect| |infRittWu?| |parabolic| |aLinear| |mulmod| - |restorePrecision| |categoryFrame| |printHeader| |OMencodingUnknown| - |accuracyIF| |iicsch| |fractionFreeGauss!| |squareFreePart| - |isQuotient| |trace| |endOfFile?| |appendPoint| |f02akf| |exists?| - |setref| |maxRowIndex| |FormatRoman| |rightExtendedGcd| - |LowTriBddDenomInv| |drawComplexVectorField| |graphImage| - |lexGroebner| |trim| |inputOutputBinaryFile| - |selectIntegrationRoutines| |cosSinInfo| |incr| |extract!| - |indicialEquationAtInfinity| |patternMatch| |figureUnits| |script| - |complexLimit| |goto| |module| |integralMatrixAtInfinity| - |removeRedundantFactorsInPols| |sinIfCan| |hi| |equality| |e01bff| - |isOr| |encodingDirectory| |imagj| |subMatrix| |e02daf| - |expextendedint| |weierstrass| |directory| |rdHack1| |headRemainder| - |getBadValues| |degree| |genericLeftMinimalPolynomial| |has?| - |comparison| |integralBasisAtInfinity| |asinIfCan| |fmecg| - |polarCoordinates| |bag| |subscript| |leftDiscriminant| |region| |tex| - |height| |realSolve| |absolutelyIrreducible?| |bitTruth| |polar| - |complete| |logGamma| |create| |solid| |sizePascalTriangle| - |boundOfCauchy| |stoseLastSubResultant| |listConjugateBases| - |OMReadError?| |nextsubResultant2| |viewThetaDefault| |s17akf| |trigs| - |sumOfDivisors| |mkPrim| |changeVar| |units| |outerProduct| |write!| - |iiacot| |prologue| |functionIsContinuousAtEndPoints| |gcdcofactprim| - |rightOne| |extractClosed| |measure2Result| |delay| |truncate| - |isExpt| |cap| |explogs2trigs| |isConnected?| |modifyPointData| - |leftTrace| |equation| |setTex!| |point| |functionIsOscillatory| - |perfectSquare?| |derivationCoordinates| |clearFortranOutputStack| - |OMconnOutDevice| |normal01| |setright!| |cAtan| |fixPredicate| - |totalLex| |zag| |insertMatch| |pToDmp| |comment| |bezoutResultant| - |laguerreL| |cot2tan| |associates?| |cTanh| |tubeRadius| |center| - |copies| |acothIfCan| |floor| |SturmHabicht| |log10| |hasPredicate?| - |isAtom| |cosIfCan| |moduleSum| |mainPrimitivePart| |showAll?| - |deepExpand| |series| |lighting| |viewPhiDefault| |localUnquote| - |code| |elem?| |bitand| |generalizedInverse| |discriminantEuclidean| - |writeInt8!| |hasHi| |mirror| |declare| |e02ajf| |setAdaptive| - |complexElementary| |euler| |bitior| |univariatePolynomialsGcds| - |torsionIfCan| |cyclicEntries| |normal?| |meshPar1Var| |is?| - |numericIfCan| |permutations| |acscIfCan| |central?| |setFormula!| - |makeSUP| |traceMatrix| |isNot| |prefixRagits| |rule| - |showTheRoutinesTable| |generate| |coerceP| |FormatArabic| - |modifyPoint| |nonQsign| |bandedHessian| |typeLists| |jokerMode| - |wrregime| |removeConstantTerm| |tubeRadiusDefault| |updatD| - |normalDeriv| |outputSpacing| |min| |lastSubResultant| |compound?| - |alphanumeric| |setPosition| |compiledFunction| |mpsode| |eof?| - |outputForm| |companionBlocks| |incrementBy| |diagonal| |tab| |airyAi| - |matrix| |elaborateFile| |notelem| |UP2ifCan| |collectQuasiMonic| - |powerSum| |definingEquations| |nthCoef| |expand| |element?| - |setColumn!| |more?| |unknownEndian| |number?| |getCode| |twist| - |lowerCase!| |addiag| |queue| |filterWhile| |froot| |zeroVector| - |maxrank| |dot| |idealiserMatrix| |genericRightTraceForm| |hermite| - |primeFactor| |doubleComplex?| |inR?| |filterUntil| |increment| - |e01baf| |coth2tanh| |mightHaveRoots| |principalIdeal| - |realEigenvalues| |pushup| |conical| |clearTheFTable| |iisech| - |select| |setValue!| |s15adf| |sup| |trigs2explogs| |iroot| |reorder| - |minColIndex| |palgextint| |OMsetEncoding| |initiallyReduced?| - |properties| |iidprod| |csc2sin| |medialSet| |lift| |clearDenominator| - |removeCoshSq| |multMonom| |parseString| - |rewriteIdealWithHeadRemainder| |radicalEigenvector| |constantRight| - |isobaric?| |scaleRoots| |solveLinear| |translate| |reduce| |quoByVar| - |leftZero| |mindegTerm| |palgLODE| |result| |maxIndex| - |divideExponents| |factorsOfDegree| |flexibleArray| |e02adf| - |controlPanel| |rroot| |f04faf| |constantOpIfCan| |callForm?| - |addBadValue| |extend| |pmComplexintegrate| Y |rootProduct| |mkcomm| - |content| |thetaCoord| |lllip| |setUnion| |pseudoRemainder| - |numberOfOperations| |setIntersection| |bothWays| |separate| |sort!| - |monomialIntegrate| |createNormalPoly| |ord| |alternative?| |bindings| - |HermiteIntegrate| |label| |dmpToP| |droot| |charClass| |zeroMatrix| - |nlde| |removeRedundantFactors| |isList| |usingTable?| - |sylvesterMatrix| |complementaryBasis| |ratDenom| |eigenMatrix| - |fill!| |bat| |viewSizeDefault| |inrootof| |quasiComponent| |ideal| - |light| |ocf2ocdf| |s17dgf| |eulerE| |maxrow| |karatsubaOnce| - |radicalOfLeftTraceForm| |nullary| |btwFact| |deref| |df2ef| - |hexDigit?| |subscriptedVariables| |getGraph| |pointData| - |specialTrigs| |rischDE| |imports| |orthonormalBasis| |copy!| |df2st| - |sturmSequence| |drawToScale| |diag| |charthRoot| |s21bbf| - |associator| |consnewpol| |cCos| |outputAsFortran| |distribute| - |errorKind| |cot2trig| |parents| |minPol| |bandedJacobian| |e02ahf| - |yCoord| |modulus| |euclideanNormalForm| |freeOf?| |atrapezoidal| - |constructor| |showFortranOutputStack| |column| |loopPoints| - |logical?| |children| |makeMulti| |quasiRegular| |byte| - |leadingExponent| |s17ajf| |tanh2trigh| |option| |f04atf| - |generalTwoFactor| |OMputApp| |iibinom| |showSummary| |shrinkable| - |quasiAlgebraicSet| |trace2PowMod| |external?| |ip4Address| - |cyclotomicFactorization| RF2UTS |bitLength| |recur| - |linearlyDependent?| |mainValue| |interactiveEnv| |replace| - |stronglyReduced?| |constantCoefficientRicDE| |ode1| - |seriesToOutputForm| |flexible?| |insertTop!| |showAttributes| - |tableau| |low| |size?| |subQuasiComponent?| |denomLODE| |empty| - |raisePolynomial| |f02aaf| |newReduc| |outputList| |knownInfBasis| - |overbar| |unit?| |integer?| |permanent| |d02cjf| |dihedralGroup| - |monomials| |stack| |rightTrim| |scan| |setErrorBound| |critBonD| - |name| |double| |selectsecond| |nullSpace| |invertibleElseSplit?| - |inspect| |iCompose| |addPoint| |linearAssociatedExp| |leftTrim| - |sparsityIF| |coerceS| |body| |perfectNthPower?| |cyclicSubmodule| - |leftRankPolynomial| |simplifyLog| |OMputError| |plot| |int| - |subresultantSequence| |mainCharacterization| |product| |interval| - |null| |rk4f| |autoReduced?| |quasiRegular?| |e04ycf| |paraboloidal| - |var1Steps| |reduction| |status| |submod| |signature| |horizConcat| - |not| |tRange| |pop!| |hitherPlane| BY |cycleTail| - |transcendentalDecompose| |bytes| |dimensions| - |genericLeftDiscriminant| |normalizedAssociate| |dim| |and| |odd?| - |d01ajf| |vector| |setMaxPoints| |tab1| |acoshIfCan| |output| - |symFunc| |aCubic| |printingInfo?| |capacity| |d02kef| |changeName| - |or| |differentiate| |monicDivide| |ran| |Hausdorff| |makeprod| - |rootPower| |zoom| |OMgetAttr| |integralBasis| |shift| - |stiffnessAndStabilityOfODEIF| |xor| |primes| |critB| |voidMode| - |prepareDecompose| |scalarMatrix| |normDeriv2| |s19adf| - |rangePascalTriangle| |nextLatticePermutation| |declare!| |unravel| - |case| |principal?| |generalInfiniteProduct| |cycles| |assert| - |inverseIntegralMatrixAtInfinity| |traverse| |e02bbf| |port| - |showClipRegion| |xn| |closeComponent| |pattern| |moebius| |Zero| - |printStats!| |removeSuperfluousCases| |cubic| |cylindrical| - |leftMinimalPolynomial| |randomR| |lazyPremWithDefault| |linearPart| - |numerator| |One| |f04asf| |edf2fi| |rename!| |iicosh| - |commutativeEquality| |computeCycleLength| |musserTrials| |t| - |setAdaptive3D| |fixedDivisor| |e02zaf| NOT |clearTable!| |c06ekf| - |unitVector| |exprHasLogarithmicWeights| |headAst| |check| - |makeViewport2D| |functorData| |ramifiedAtInfinity?| |s18dcf| OR - |totalDifferential| |s21bdf| |before?| |Ci| |rowEch| |nullary?| - |sayLength| |minPoly| |computePowers| |subtractIfCan| |message| AND - |c06ebf| |internalIntegrate0| |addPointLast| |reducedSystem| - |viewDefaults| |combineFeatureCompatibility| |numberOfNormalPoly| - |charpol| |member?| |escape| |goodPoint| |space| |getConstant| - |stiffnessAndStabilityFactor| |schema| |basisOfCommutingElements| - |OMputBind| |mathieu12| |resultantReduitEuclidean| |permutationGroup| - |segment| |besselK| |elt| |e04mbf| |createZechTable| - |algebraicVariables| |makeCos| |partialFraction| |binaryTournament| - |iiacsch| |leastPower| |isAnd| |operators| |cond| - |primPartElseUnitCanonical!| |powers| |univcase| |splitLinear| - |trivialIdeal?| |sechIfCan| |generalLambert| |ruleset| |meshPar2Var| - |birth| |createThreeSpace| |maxdeg| |numberOfMonomials| |compdegd| - |conjug| |times!| |cyclic?| |fi2df| |antiCommutator| |minimize| - |viewport3D| |nor| |prolateSpheroidal| |zeroDimensional?| |npcoef| - |reduceLODE| |reify| |prinshINFO| |compBound| |cExp| |cons| - |getMultiplicationTable| |randomLC| |irCtor| |symmetricRemainder| - |second| |nullity| |externalList| |mapDown!| |pastel| |geometric| - |generalPosition| |s18def| |suchThat| |powerAssociative?| - |numberOfFactors| |numberOfComponents| |cRationalPower| |An| |third| - |rewriteIdealWithRemainder| |OMgetInteger| |pToHdmp| - |semiResultantEuclidean1| |critMonD1| |showTheSymbolTable| - |rightTrace| |regularRepresentation| |c06fqf| |child| |cycle| |mdeg| - |pquo| |skewSFunction| |checkRur| |cAtanh| |mapExpon| |void| |rk4a| - |showAllElements| |mapExponents| |radix| |df2fi| |rotate!| * - |polygamma| |leftRank| |f02axf| |backOldPos| |e02def| |summation| - |constantToUnaryFunction| |readInt8!| |systemCommand| |OMlistSymbols| - |littleEndian| |superHeight| |leftDivide| |rotatey| |cAcsch| - |conditionsForIdempotents| |f02wef| |divisor| |integralRepresents| - |removeRoughlyRedundantFactorsInContents| |nextPrimitiveNormalPoly| - |structuralConstants| |f02abf| |enqueue!| |separant| - |complexEigenvalues| |integral?| - |solveLinearPolynomialEquationByFractions| |romberg| |leaves| |source| - |iipow| |exprHasWeightCosWXorSinWX| |s18acf| |factorGroebnerBasis| - |pade| |option?| |rightDivide| |f01mcf| = |yCoordinates| |bat1| - |makeSketch| |elseBranch| |contains?| |e02baf| |bivariate?| - |fractRagits| |normal| |noncommutativeJordanAlgebra?| |node?| - |macroExpand| |symbolTableOf| |nthExponent| |subresultantVector| - |clipBoolean| |regime| |plusInfinity| |createLowComplexityTable| - |entry?| |iifact| |divideIfCan!| |hypergeometric0F1| |withPredicates| - |expr| < |exactQuotient| |exteriorDifferential| |rightQuotient| - |genericRightNorm| |selectfirst| |minusInfinity| |nextColeman| - |setPrologue!| |d01amf| |whatInfinity| |nthRootIfCan| |char| - |adaptive| > |reopen!| |lyndonIfCan| - |removeSuperfluousQuasiComponents| |split| |makeCrit| - |SturmHabichtMultiple| |dequeue| |quadratic| - |selectMultiDimensionalRoutines| |OMgetBind| <= |primintfldpoly| - |nil?| |pushdterm| |OMreceive| |target| |iiacosh| |extractProperty| - |yellow| |cardinality| |crest| >= |addMatchRestricted| |groebner| - |subPolSet?| |getZechTable| |integrate| |numerators| |ranges| - |toroidal| |reseed| |testDim| |variable| |OMgetEndBVar| |aQuadratic| - |transpose| |exptMod| |showRegion| |c06eaf| |shiftRight| - |outputGeneral| |critMTonD1| |zeroSetSplit| |iterators| |isEquiv| - |push| |prinb| |elementary| |lexico| |type| |positiveRemainder| - |rightRemainder| |quickSort| |setfirst!| |taylorRep| |relationsIdeal| - + |readUInt32!| |OMsend| |se2rfi| |removeRedundantFactorsInContents| - |leftRecip| |d03edf| |outputFixed| |numericalOptimization| - |solveLinearPolynomialEquation| |OMgetEndObject| - |float| - |intermediateResultsIF| |f04mbf| |nextPrime| |mainCoefficients| - |brillhartTrials| |airyBi| |minPoints3D| |coefficient| |cup| - |logIfCan| |overlap| / |subset?| |extractSplittingLeaf| |mappingAst| - |poisson| |stirling1| |setnext!| |reflect| |sign| |localReal?| - |symbol| |decreasePrecision| |id| |simplifyExp| |exponentialOrder| - |expandTrigProducts| |cAsech| |simpsono| |SFunction| |pomopo!| - |genericRightTrace| |expression| |resetNew| |rightAlternative?| |lo| - |intcompBasis| |expandLog| |graphState| |kroneckerDelta| - |padicallyExpand| |realRoots| |nthFlag| |graphStates| |plenaryPower| - |integer| |fTable| |mapUp!| |doubleFloatFormat| |getIdentifier| - |readInt16!| |OMputEndError| |value| |OMcloseConn| |headReduced?| - |eigenvalues| |mapdiv| |badValues| |patternVariable| |elRow1!| - |pseudoQuotient| |isMult| |toseInvertibleSet| |c06gqf| |head| - |shiftRoots| |semiLastSubResultantEuclidean| |mathieu11| - |roughSubIdeal?| |basisOfCenter| |leftReducedSystem| |Lazard| |lquo| - |iiatanh| |keys| |interReduce| |generators| |polyred| |e04naf| - |setStatus| |equiv| |distance| |edf2efi| |monicDecomposeIfCan| - |symbolTable| |getRef| |pushuconst| |att2Result| |graphs| - |coerceListOfPairs| |abs| GE |algDsolve| |parametric?| |iicot| - |cAsinh| |safeCeiling| |OMParseError?| |inRadical?| |scripted?| - |kovacic| |completeHermite| GT |acotIfCan| |evenlambert| |vedf2vef| - |c02agf| |pushFortranOutputStack| |BasicMethod| |monic?| - |realElementary| |ridHack1| |readInt32!| |imagI| LE |OMencodingSGML| - |coleman| |swapColumns!| |revert| |popFortranOutputStack| |ratDsolve| - |viewDeltaXDefault| |pole?| |radicalSimplify| |polCase| - |computeCycleEntry| LT |exactQuotient!| |complexNormalize| - |complement| |d01alf| |numberOfCycles| |algebraicDecompose| |rootPoly| - |mathieu24| |adaptive?| |lazyPseudoQuotient| |sortConstraints| - |e04dgf| |red| |cyclicParents| |f01qef| |closed?| |OMgetEndApp| - |wordInStrongGenerators| |factorsOfCyclicGroupSize| - |semiDegreeSubResultantEuclidean| |mat| |createNormalPrimitivePoly| - |sumOfKthPowerDivisors| |rewriteSetWithReduction| - |reduceBasisAtInfinity| |e01saf| |bringDown| |nthr| |makeUnit| - |eisensteinIrreducible?| |reducedForm| |d01asf| |iicoth| |presub| - |partialNumerators| |deepestInitial| |semiDiscriminantEuclidean| - |epilogue| |polynomialZeros| |open| |pow| |selectPolynomials| - |branchPoint?| |d01bbf| |pr2dmp| |startTableGcd!| |oblateSpheroidal| - |branchIfCan| |index| |getMeasure| |rightLcm| |tree| |arbitrary| - |matrixConcat3D| |modularGcd| |moreAlgebraic?| |isImplies| - |diagonalProduct| |createPrimitiveNormalPoly| |complexNumericIfCan| - |stoseInvertible?| |gcdPolynomial| |iicos| - |createLowComplexityNormalBasis| |lifting| |firstNumer| |modTree| - |incrementKthElement| |removeZeroes| |sn| |quasiMonicPolynomials| - |imagk| |setMinPoints3D| |frst| |purelyTranscendental?| - |rightRegularRepresentation| |fortranLiteral| |commutator| - |squareFreeFactors| |jacobi| |pair| |pleskenSplit| |operations| - |OMclose| |point?| |OMputFloat| |polyRDE| |inverseIntegralMatrix| - |bright| |lprop| |intPatternMatch| |s19aaf| |prod| - |univariatePolynomials| |precision| |wreath| |iteratedInitials| |exp1| - |overlabel| |e01sef| |conjugate| |torsion?| |mesh| |axes| |pointColor| - |leftCharacteristicPolynomial| |addPoint2| |euclideanSize| |besselY| - |problemPoints| |s17adf| |eval| |d01akf| |chebyshevU| |KrullNumber| - |pdct| |d02bhf| |viewPosDefault| |idealiser| |subTriSet?| - |balancedBinaryTree| |stosePrepareSubResAlgo| |iterationVar| - |extendedint| |weakBiRank| |OMbindTCP| |singularitiesOf| |pointLists| - |listLoops| |coefficients| |dimensionOfIrreducibleRepresentation| - |laguerre| |patternMatchTimes| |selectOrPolynomials| |hcrf| |s21baf| - |edf2df| |writeBytes!| |error| |createPrimitiveElement| |quoted?| - |updatF| |support| |morphism| |width| |principalAncestors| |position!| - |closed| |numberOfComputedEntries| |d03eef| |minIndex| |setEmpty!| - |lazyIrreducibleFactors| |digamma| |f04maf| |palgLODE0| - |triangularSystems| |paren| |diagonalMatrix| |optimize| - |repeatUntilLoop| |ksec| |isAbsolutelyIrreducible?| |rules| |latex| - |f02bjf| |connect| |cyclotomicDecomposition| |OMgetSymbol| |nthExpon| - |function| |factorials| |exprex| |checkPrecision| |subHeight| - |deepCopy| |cAcosh| |shuffle| |getMultiplicationMatrix| - |binarySearchTree| |approxNthRoot| |antiCommutative?| |palgintegrate| - |largest| |terms| |subst| |ref| |lagrange| |removeDuplicates!| |qroot| - |implies| |selectPDERoutines| |sts2stst| |sin?| |primlimintfrac| - |ddFact| |stoseInternalLastSubResultant| |mr| |nsqfree| |trapezoidalo| - |expressIdealMember| |explicitlyFinite?| |groebner?| |tanintegrate| - |setleaves!| |linearlyDependentOverZ?| |iprint| |abelianGroup| - |mapCoef| |argumentList!| |lowerCase| |cos2sec| |clipPointsDefault| - |optional| |tableForDiscreteLogarithm| |e01daf| |OMputEndAttr| - |purelyAlgebraic?| |hostPlatform| |block| |multisect| |sumOfSquares| - |integers| |numberOfChildren| |leftAlternative?| |putColorInfo| - |listOfLists| |rootsOf| |normalDenom| |integralMatrix| - |scanOneDimSubspaces| |findConstructor| |move| |any| |root?| |bottom!| - |orbits| |real?| |initials| |triangulate| |upDateBranches| |close!| - |evaluateInverse| |chiSquare1| |varList| |packageCall| - |stoseInvertibleSet| |getCurve| |dfRange| |viewWriteDefault| |objects| - |rem| |lfintegrate| |lazyVariations| |prime| |cschIfCan| - |factorFraction| |degreePartition| |iiasinh| |karatsuba| |find| |dark| - |base| |quo| |euclideanGroebner| |cPower| |setAttributeButtonStep| - |degreeSubResultant| |sqfrFactor| |fullDisplay| |getOrder| |viewpoint| - |noLinearFactor?| |mainMonomial| |setDifference| |ParCond| - |primaryDecomp| |direction| |fortranCarriageReturn| - |possiblyNewVariety?| |legendreP| |janko2| |finiteBound| - |primextendedint| |div| |rootSplit| |d01gbf| |powern| |setlast!| - |graeffe| |lcm| |tensorProduct| |OMputSymbol| |ode2| |asinhIfCan| - |mvar| |init| |delete| |exquo| |removeRoughlyRedundantFactorsInPols| - |rationalIfCan| |explicitlyEmpty?| |putGraph| |makeFR| |bigEndian| - |fortranCharacter| |components| |leadingTerm| |round| ~= |blue| - |toseInvertible?| |rightCharacteristicPolynomial| |numFunEvals3D| - |symbolIfCan| |constantKernel| |append| |redpps| |mainContent| - |setsubMatrix!| |rotate| |#| |primitive?| |monomial?| - |resetAttributeButtons| |hdmpToP| |ravel| |normalise| |iisinh| |gcd| - |minPoints| |atom?| |cAcsc| |adaptive3D?| ~ |outputFloating| - |standardBasisOfCyclicSubmodule| |compose| |laurentIfCan| - |symmetricSquare| |reshape| |shanksDiscLogAlgorithm| |delete!| |false| - |setVariableOrder| |inconsistent?| |square?| |typeForm| - |explicitEntries?| |pushucoef| |showTheFTable| |retractable?| - |lookupFunction| |enterInCache| |f04mcf| |rightFactorCandidate| - |quote| |returnTypeOf| |makeGraphImage| |scale| |tValues| - |stoseIntegralLastSubResultant| |over| |apply| |lexTriangular| |cSech| - |evenInfiniteProduct| |iiasin| |changeWeightLevel| |/\\| |e02bef| - |tanhIfCan| |iiatan| |exprToXXP| |complexExpand| |first| - |internalDecompose| |harmonic| |roughUnitIdeal?| |e02akf| - |OMgetString| |\\/| |nthFactor| |monomRDE| |increase| - |internalInfRittWu?| |componentUpperBound| |rest| |padicFraction| - |setClipValue| |univariatePolynomial| |ipow| |toseSquareFreePart| - |previous| |recolor| |delta| |linGenPos| |d02raf| |weight| F2FG |plus| - |update| |coerce| |createRandomElement| |separateDegrees| |qfactor| - |useEisensteinCriterion| |rewriteIdealWithQuasiMonicGenerators| - |rightRank| |writeUInt8!| |getlo| |fracPart| |duplicates?| |construct| - |removeDuplicates| |screenResolution| |plotPolar| |rootKerSimp| - |resultantReduit| |nand| |isPower| |expenseOfEvaluationIF| |Beta| - |constDsolve| |datalist| |genericRightDiscriminant| |f01ref| - |limitedint| |subCase?| |cAcos| |setPredicates| |redPo| |s13adf| - |upperCase| |sec2cos| |digit?| |times| |push!| |antiAssociative?| - |entries| |top!| |lifting1| |s14abf| |imagK| |s19acf| |order| - |bipolar| |getOperands| |lookup| |upperBound| |collectUnder| |slex| - |algebraicSort| |cycleElt| |cAsin| |duplicates| |hspace| |iiGamma| - |position| |lazyPseudoDivide| |powmod| |rowEchLocal| |Aleph| - |innerint| |highCommonTerms| |SturmHabichtCoefficients| |polygon?| - |lowerCase?| |style| |limitPlus| |c06gsf| |symmetric?| - |viewWriteAvailable| |definingInequation| |removeSinhSq| |lambda| - |adjoint| |algebraicOf| |OMmakeConn| |subspace| |weights| |monom| - |rank| |crushedSet| |nthFractionalTerm| |RittWuCompare| |denominators| - |palgRDE0| |generic?| |minordet| |fortranDoubleComplex| |invmod| - |perfectNthRoot| |drawComplex| |neglist| |c05adf| |outputBinaryFile| - |pdf2df| |presuper| |contractSolve| |subResultantGcd| |genus| - |leftRemainder| |algebraic?| |expintfldpoly| |recip| |f01maf| - |messagePrint| |perfectSqrt| |s21bcf| |currentSubProgram| - |viewZoomDefault| |rightZero| |unvectorise| |common| |s17aff| - |setLabelValue| |completeEval| |setFieldInfo| |readable?| |intensity| - |clipWithRanges| |coordinates| |e04gcf| |rombergo| - |fullPartialFraction| |leftUnits| |loadNativeModule| |makeViewport3D| - |tryFunctionalDecomposition?| |simpson| |maxColIndex| |s13acf| - |OMgetEndAtp| |ricDsolve| |characteristicSerie| |basisOfRightNucloid| - |invertible?| |reverse!| |writeLine!| |iitanh| |iiexp| |cCsch| - |OMreadFile| |printInfo| |ramified?| |someBasis| |multiEuclidean| - |reduceByQuasiMonic| |alphanumeric?| |rationalFunction| |contract| - |rightUnit| |leftExactQuotient| |resultantEuclidean| |argument| - |numberOfImproperPartitions| |digit| |quotedOperators| - |useEisensteinCriterion?| |hdmpToDmp| |zeroSquareMatrix| |lists| |log| - |listBranches| |leftTraceMatrix| |integralLastSubResultant| - |var2Steps| |linearDependenceOverZ| |scopes| |mapBivariate| - |increasePrecision| |typeList| |rightMult| |outputArgs| |lfextlimint| - |lyndon| |iiperm| |processTemplate| |elliptic?| |mergeDifference| - |factorial| |qinterval| |discreteLog| |sample| |setelt| - |numberOfVariables| |homogeneous?| |generateIrredPoly| |f02aef| - |interpretString| |erf| |unit| |groebnerIdeal| |dflist| UP2UTS - |aromberg| |realZeros| |selectFiniteRoutines| |printStatement| - |s17def| |mainVariable| |startTableInvSet!| |biRank| |totolex| - |f04adf| |mathieu22| |heapSort| |cartesian| |henselFact| |li| - |setScreenResolution3D| |leftMult| |redmat| |eq?| |changeNameToObjf| - |zero| |changeMeasure| |qqq| |insertBottom!| |choosemon| |reverse| - |spherical| |writable?| |showIntensityFunctions| |oddlambert| |dilog| - |nary?| |palglimint| |singularAtInfinity?| |d02gbf| |infiniteProduct| - |integerIfCan| |lflimitedint| |meatAxe| |eulerPhi| |OMgetVariable| - |sin| |topFortranOutputStack| |LyndonWordsList1| - |halfExtendedResultant1| |minimalPolynomial| |And| |select!| - |beauzamyBound| |rst| |OMputEndBVar| |makeFloatFunction| |leftLcm| - |cos| |fortranLogical| |SturmHabichtSequence| |superscript| |f02aff| - |Or| |linearAssociatedOrder| |unknown| |characteristicSet| - |clearTheIFTable| |noKaratsuba| |coshIfCan| |tanNa| |tan| |critT| - |isOpen?| |solveRetract| |curry| |Not| |pol| |quasiMonic?| - |seriesSolve| |setrest!| |cCoth| |zCoord| |cot| |zero?| |shiftLeft| - |characteristicPolynomial| |realEigenvectors| |e04jaf| - |leadingBasisTerm| |tryFunctionalDecomposition| |sumSquares| - |reducedQPowers| |conjugates| |sec| |basisOfLeftAnnihilator| - |matrixDimensions| |mainForm| |stoseInvertible?sqfreg| |primintegrate| - |OMputObject| |wholePart| |quadratic?| |expPot| |csc| |palgRDE| - |mainVariables| |elaboration| |nodes| |indicialEquation| |logpart| - |leadingCoefficientRicDE| |LagrangeInterpolation| |leftGcd| - |rewriteSetByReducingWithParticularGenerators| |asin| |test| |e02dcf| - |basicSet| |generalizedContinuumHypothesisAssumed?| |changeBase| - |fillPascalTriangle| |differentialVariables| |shallowExpand| |d02gaf| - |bumptab| |members| |rischDEsys| |acos| |hermiteH| |tanSum| - |fortranComplex| |contours| |palglimint0| |parts| |pmintegrate| - |iidsum| |inverse| |extendIfCan| |simplifyPower| - |getSyntaxFormsFromFile| |atan| |cyclicGroup| |numFunEvals| |tan2cot| - |phiCoord| |associatedEquations| |useSingleFactorBound| |exprToGenUPS| - |maxPoints3D| |acot| |semiResultantReduitEuclidean| |monicModulo| - |invmultisect| |subResultantGcdEuclidean| |tanAn| |binding| |c06frf| - |f02adf| |parent| |asec| |kmax| |factorList| |internalIntegrate| - |smith| |factorPolynomial| |deleteProperty!| |asechIfCan| - |identityMatrix| |userOrdered?| |cn| |acsc| |every?| |linSolve| - |merge!| |plus!| |irreducibleFactor| |remove| |prindINFO| - |OMputVariable| |prefix| |sinh| |internal?| |leastAffineMultiple| - |LiePolyIfCan| |mainDefiningPolynomial| |OMputAtp| |pile| - |extendedSubResultantGcd| |LazardQuotient| |resultant| |cosh| |f02agf| - |newLine| |stopTable!| |tower| |binomThmExpt| |e02gaf| |last| |imagi| - |updateStatus!| |bitCoef| |supersub| |tanh| |represents| |eq| |leader| - |sequence| |psolve| |hyperelliptic| |assoc| |fixedPoints| |whileLoop| - |sequences| |sqfree| |cscIfCan| |coth| |clip| |iter| |stFuncN| - |positiveSolve| |just| |outputAsTex| |obj| |alphabetic| |exQuo| |sech| - |mapmult| |curveColor| |semiIndiceSubResultantEuclidean| |s15aef| - |halfExtendedSubResultantGcd1| |lSpaceBasis| - |solveLinearPolynomialEquationByRecursion| |rotatez| |s17dhf| |cache| - |csch| |bfKeys| |s14baf| |indicialEquations| - |semiSubResultantGcdEuclidean2| |invertibleSet| |lowerPolynomial| - |composites| |integralDerivationMatrix| |unexpand| |asinh| - |getDatabase| |Nul| |diff| |c06fuf| |complexNumeric| - |rightRankPolynomial| |dn| |sub| |acosh| |endSubProgram| |uniform| - |subNode?| |basisOfNucleus| |f2df| |basis| |insertionSort!| - |linkToFortran| |f04jgf| |atanh| |integralCoordinates| |mapGen| - |stoseInvertibleSetsqfreg| |iicsc| |kernels| |secIfCan| - |squareFreeLexTriangular| |solve| |nextSubsetGray| |OMgetEndError| - |acoth| |c05pbf| |minset| |extractPoint| |numberOfFractionalTerms| - |operator| |initTable!| |iFTable| |semiSubResultantGcdEuclidean1| - |algintegrate| |OMconnInDevice| |s17aef| |asech| |level| |exp| - |Lazard2| |OMopenString| |disjunction| |rightRecip| |character?| - |c05nbf| |probablyZeroDim?| |cosh2sech| |selectODEIVPRoutines| - |writeByte!| |rCoord| |routines| |irVar| |maxPoints| |gbasis| LODO2FUN - |complexSolve| |slash| |multiple| |quatern| |explimitedint| - |youngDiagram| |ScanFloatIgnoreSpacesIfCan| |imagJ| |algint| |moduloP| - |printInfo!| |coth2trigh| |applyQuote| |compile| |infieldIntegrate| - |chainSubResultants| |f04qaf| |ReduceOrder| |map| |table| |thenBranch| - |factors| |f02awf| |polyPart| |unitNormal| |stronglyReduce| |iisqrt2| - |empty?| |power| |new| |OMgetApp| |setMinPoints| |rootOf| |iilog| - |areEquivalent?| |infieldint| |alphabetic?| |iiabs| |subSet| - |internalAugment| |ffactor| |radicalSolve| |substitute| |lex| - |supRittWu?| |nextNormalPoly| |f01qcf| |sinh2csch| |commutative?| - |retract| |constantLeft| |drawStyle| |constant?| |shape| |nil| - |partialDenominators| |setButtonValue| |palginfieldint| |computeInt| - |sizeLess?| |ellipticCylindrical| |mainMonomials| |variable?| - |factor1| |leftUnit| |OMopenFile| |infLex?| |LyndonBasis| |convert| - |symmetricDifference| |randnum| |sinhcosh| |irForm| |matrixGcd| - |extractIfCan| |factorAndSplit| |createMultiplicationMatrix| |d02ejf| - |colorFunction| |nonSingularModel| |limitedIntegrate| |mkIntegral| - |setRealSteps| |approximate| |cothIfCan| |rspace| |dominantTerm| - |roughBase?| |c06fpf| |numberOfComposites| |merge| |box| - |mapMatrixIfCan| |e02bcf| |complex| |stop| |resultantnaif| - |factorSquareFreeByRecursion| |rightFactorIfCan| |GospersMethod| - |rightExactQuotient| |lyndon?| |allRootsOf| |distdfact| - |ScanFloatIgnoreSpaces| |lfunc| |factorSquareFreePolynomial| - |exponential| |rightMinimalPolynomial| |ODESolve| |OMgetObject| - |nodeOf?| |mkAnswer| |discriminant| |stopMusserTrials| |ListOfTerms| - |subResultantChain| |commonDenominator| |pointPlot| |primlimitedint| - |rational| |socf2socdf| |key?| |failed| |stopTableInvSet!| - |associatedSystem| |BumInSepFFE| |unitCanonical| |left| - |doubleResultant| |reducedContinuedFraction| |shade| |hasoln| - |denominator| |putProperty| |ignore?| |possiblyInfinite?| |f07fdf| - |right| |antisymmetricTensors| |infinite?| |commaSeparate| - |rischNormalize| |forLoop| |getPickedPoints| |OMgetBVar| |makeop| - |newSubProgram| |printTypes| |rowEchelonLocal| |LazardQuotient2| - |approxSqrt| |changeThreshhold| |initial| |groebgen| |aQuartic| - |gderiv| |leadingIndex| |bezoutDiscriminant| |heap| |open?| |e01bgf| - |wronskianMatrix| |doublyTransitive?| |high| |expandPower| - |generalSqFr| |scalarTypeOf| |octon| |uniform01| |leftNorm| |padecf| - |nonLinearPart| |finiteBasis| |lieAdmissible?| |defineProperty| - |iiasec| |inverseLaplace| |leastMonomial| |cSec| |create3Space| |next| - |diagonal?| |sdf2lst| |permutationRepresentation| |f01brf| - |ScanArabic| |separateFactors| |indiceSubResultant| |idealSimplify| - |nativeModuleExtension| |splitConstant| |pdf2ef| |f07adf| - |lieAlgebra?| |cyclePartition| |irreducible?| |mainVariable?| |swap| - |symbol?| |certainlySubVariety?| |f01qdf| |subResultantsChain| - |minGbasis| |headReduce| |chebyshevT| |radicalEigenvalues| - |univariate?| |fortranTypeOf| |listOfMonoms| |lazyPseudoRemainder| - |unprotectedRemoveRedundantFactors| |approximants| |attributeData| - |basisOfMiddleNucleus| |zerosOf| |rootOfIrreduciblePoly| - |extendedResultant| |taylorIfCan| |e04ucf| |minrank| - |halfExtendedSubResultantGcd2| |key| |elliptic| |s17ahf| |normalize| - |vconcat| |max| |pointColorPalette| |partialQuotients| - |physicalLength| |sorted?| |lfinfieldint| |clipParametric| - |selectSumOfSquaresRoutines| |returns| |decomposeFunc| - |genericLeftTraceForm| |belong?| |finite?| |inputBinaryFile| - |filename| |intersect| |maximumExponent| |concat!| - |selectOptimizationRoutines| |parametersOf| |composite| |fortranReal| - |expt| |pack!| |bernoulli| |s17dlf| |errorInfo| |outputMeasure| |hue| - |infinityNorm| |quadraticNorm| |s18adf| |Frobenius| |parse| - |countable?| |orbit| |inverseColeman| |taylorQuoByVar| |transcendent?| - |internalLastSubResultant| |iisin| |pureLex| |addmod| |super| - |nextNormalPrimitivePoly| |modularFactor| |roman| |normFactors| - |numericalIntegration| |redPol| |zeroOf| |PDESolve| |f04arf| |solid?| - |Ei| |cCosh| |subNodeOf?| |tail| |resize| |reducedDiscriminant| - |f01rdf| |addMatch| |f04axf| |double?| |corrPoly| |lineColorDefault| - |parabolicCylindrical| |sech2cosh| |f01rcf| |blankSeparate| |csubst| - |OMgetAtp| |po| |linearMatrix| |refine| |opeval| |drawCurves| - |resetVariableOrder| |xCoord| |cycleLength| |readLine!| - |basisOfCentroid| FG2F |calcRanges| |OMencodingBinary| |predicates| - |entry| |optpair| |cSin| |dimensionsOf| |say| |currentCategoryFrame| - |cross| |decimal| |s17acf| |basisOfLeftNucleus| |negative?| |arg1| - |removeCosSq| |exprHasAlgebraicWeight| |complexIntegrate| - |genericLeftNorm| |green| |convergents| |showScalarValues| - |arrayStack| |rowEchelon| |sPol| |arg2| |polygon| |OMgetType| |reset| - |options| |cCot| |completeHensel| |OMputString| |trunc| |cAcot| - |graphCurves| |dom| |sum| |setLength!| |monicLeftDivide| - |mainSquareFreePart| |LiePoly| |inc| |supDimElseRittWu?| |e01bef| - |relativeApprox| |bipolarCylindrical| |physicalLength!| |conditions| - |complexRoots| |failed?| |completeEchelonBasis| |write| |leftPower| - |karatsubaDivide| |nil| |infinite| |arbitraryExponent| |approximate| - |complex| |shallowMutable| |canonical| |noetherian| |central| - |partiallyOrderedSet| |arbitraryPrecision| |canonicalsClosed| - |noZeroDivisors| |rightUnitary| |leftUnitary| |additiveValuation| - |unitsKnown| |canonicalUnitNormal| |multiplicativeValuation| - |finiteAggregate| |shallowlyMutable| |commutative|)
\ No newline at end of file + |Record| |Union| |linearlyDependent?| |f02aaf| |updatF| |sequence| + |doublyTransitive?| |match| |save| |primitive?| |string| LODO2FUN + |arbitrary| |lp| |addmod| |coordinates| |cAtanh| |trim| + |numberOfPrimitivePoly| |reopen!| |generic| + |purelyAlgebraicLeadingMonomial?| |bernoulli| |deriv| + |linearAssociatedLog| |powerAssociative?| |factor1| + |extendedIntegrate| |rarrow| |s18dcf| |hexDigit| |putColorInfo| + |OMputAttr| |OMputVariable| |title| |ord| |build| |nothing| |e04naf| + |shiftLeft| |iiacot| |perfectSquare?| |reseed| |setfirst!| + |increasePrecision| |redPo| |f01bsf| |predicate| |nextSubsetGray| + |abelianGroup| |s21bbf| |curve?| |oddintegers| |top| |OMgetEndBind| + |subresultantSequence| |iisech| |tracePowMod| |factorGroebnerBasis| + |powmod| |crushedSet| |e| |insertBottom!| |continue| |po| + |KrullNumber| |cSech| |getIdentifier| |sub| + |unprotectedRemoveRedundantFactors| |karatsubaOnce| |critB| |part?| + |startStats!| |ScanFloatIgnoreSpaces| |splitConstant| + |unrankImproperPartitions1| |LiePoly| |deepExpand| |exprToGenUPS| + |iExquo| |intcompBasis| |frobenius| |expextendedint| |hasSolution?| + |rootRadius| |degreePartition| |times!| |virtualDegree| |ddFact| + |squareFreePolynomial| |fortranDouble| |f02bjf| |constant| |round| + |createPrimitivePoly| |complexSolve| |matrixConcat3D| |measure2Result| + |stoseLastSubResultant| |inputOutputBinaryFile| |mapExpon| |compound?| + |totalDifferential| |besselK| |hash| |tableForDiscreteLogarithm| + |invertibleSet| |support| |psolve| |drawStyle| |splitLinear| + |symmetricPower| |characteristicPolynomial| |whitePoint| ** |count| + |removeIrreducibleRedundantFactors| |structuralConstants| + |approximants| |numberOfFactors| |d01alf| |exteriorDifferential| + |mathieu11| |mantissa| |cyclicCopy| |parameters| |stirling1| + |cothIfCan| |any?| |internal?| |strongGenerators| |inf| |ParCondList| + |setValue!| |zeroDim?| |minus!| |voidMode| |useEisensteinCriterion?| + |isPower| |evenInfiniteProduct| |setProperties| |iibinom| |randomLC| + |resultantEuclideannaif| |choosemon| |lllip| |addPoint| |lfunc| + |substring?| |expandLog| |viewZoomDefault| |extendedEuclidean| + |cardinality| |supDimElseRittWu?| |f04axf| |changeThreshhold| + |qfactor| |OMputBVar| |inputBinaryFile| |seriesToOutputForm| + |critMTonD1| |fprindINFO| |iiacsc| |extension| |maxint| + |flexibleArray| |rangeIsFinite| |dAndcExp| |simpson| |suffix?| + |specialTrigs| |upperBound| |alphanumeric| |copies| |minimumExponent| + |doubleComplex?| |rewriteIdealWithQuasiMonicGenerators| + |listConjugateBases| |enterPointData| |c06gsf| |bat| |blue| + |packageCall| |axes| |enterInCache| |e01daf| + |stoseInternalLastSubResultant| |prefix?| |gcdcofact| |s17acf| + |constant?| |trivialIdeal?| |probablyZeroDim?| |merge| + |lowerPolynomial| |delay| |sinhIfCan| |create3Space| |leftOne| + |linearAssociatedExp| |inverse| |tan2trig| |f02abf| |rspace| + |integralMatrixAtInfinity| |lowerBound| |constantRight| |numer| + |retractIfCan| |numberOfCycles| |rightQuotient| |lambert| |pow| + |setnext!| |acschIfCan| |exists?| |digamma| |associatedSystem| |denom| + |spherical| |roughSubIdeal?| |chiSquare| |closedCurve?| + |fortranLiteralLine| |characteristic| |leftRegularRepresentation| + |laguerre| |partition| |prepareDecompose| |expenseOfEvaluationIF| + |multiplyCoefficients| |e02zaf| |rightZero| |leaf?| |irCtor| + |stronglyReduce| |modularGcdPrimitive| |pi| |e01bef| |setUnion| + |hdmpToDmp| |isOpen?| |formula| |shrinkable| |infix?| |graphState| + |roughBasicSet| |asechIfCan| |purelyTranscendental?| |infinity| + |constantIfCan| |double?| |groebgen| |fortranInteger| |flexible?| + |mask| |intersect| |prem| |zeroSetSplit| |goodPoint| |ptree| + |setPosition| |pointColor| |tanIfCan| |f04mcf| |maxColIndex| + |countRealRoots| |rischDE| |crest| |nodes| |toseInvertible?| |c02aff| + |unmakeSUP| |inR?| |step| |unitNormalize| |nsqfree| |collectUnder| + |symmetric?| |isobaric?| |kernel| |shape| + |initializeGroupForWordProblem| |acothIfCan| |mapMatrixIfCan| |nrows| + |concat| |OMputEndAttr| |OMReadError?| |basisOfLeftNucleus| + |viewSizeDefault| |univariatePolynomial| |list| |hessian| |sechIfCan| + |stoseInvertibleSet| |clearCache| |cyclic| |ncols| |lhs| |enqueue!| + |truncate| |constantOperator| |diagonal?| |draw| |readLineIfCan!| + |algebraicDecompose| |cosh2sech| |extendIfCan| |chvar| |rhs| + |composites| |dominantTerm| |symmetricRemainder| |f04maf| + |BumInSepFFE| |writable?| |genericRightNorm| |multiplyExponents| + |selectPolynomials| |reflect| |removeRedundantFactorsInPols| + |clikeUniv| |polyRDE| |untab| |viewDeltaYDefault| |scalarMatrix| + |basisOfCenter| |UnVectorise| |solveRetract| |currentEnv| + |schwerpunkt| |singular?| |rightTraceMatrix| |patternMatchTimes| + |changeBase| |rightRegularRepresentation| |relativeApprox| |s01eaf| + |Beta| |clearTable!| |kroneckerDelta| |quasiAlgebraicSet| |laplacian| + |setref| |makeObject| |null?| |basisOfRightAnnihilator| |sparsityIF| + |pseudoRemainder| |hasTopPredicate?| |qelt| |genericPosition| + |identityMatrix| |unvectorise| |isEquiv| |linear| |space| |coef| + |rightCharacteristicPolynomial| |zeroSquareMatrix| |aQuartic| + |qsetelt| |increment| |insertTop!| |maximumExponent| |inrootof| + |imports| |indicialEquation| |compiledFunction| |corrPoly| |debug3D| + |rightFactorCandidate| |xRange| |f07fdf| |df2mf| |coefChoose| |s13acf| + |polynomial| |viewWriteAvailable| |removeZero| |partialDenominators| + |alternating| |leftCharacteristicPolynomial| |e02bcf| |yRange| + |fillPascalTriangle| |transform| |trapezoidalo| |addMatchRestricted| + |negative?| |ipow| |rootPoly| |besselI| |argscript| + |expenseOfEvaluation| |zRange| |isExpt| |nextsubResultant2| + |semiResultantEuclideannaif| |slex| |scaleRoots| |sort| |preprocess| + |simplifyPower| |floor| |branchPoint?| |map!| |separant| + |purelyAlgebraic?| |sdf2lst| |palgLODE0| |unitCanonical| |dec| + |normDeriv2| |getCurve| |generalLambert| |qsetelt!| |primitivePart| + |integralDerivationMatrix| |monicRightDivide| |sinIfCan| |fintegrate| + |rootNormalize| |showIntensityFunctions| |selectfirst| + |selectODEIVPRoutines| |curry| |kind| |padicallyExpand| |fractRadix| + |length| |binomThmExpt| |selectOrPolynomials| |fortranLiteral| + |bipolarCylindrical| |recoverAfterFail| |rquo| |c06ekf| |op| + |lazyIntegrate| |sign| |scripts| |c06fqf| |maxRowIndex| |setPoly| + |random| |exportedOperators| |numberOfOperations| |leftReducedSystem| + |univariate| |palgint| |trace2PowMod| |OMgetEndAtp| |push| |nullity| + |getConstant| SEGMENT |numFunEvals3D| |constDsolve| |leftExtendedGcd| + |e01baf| |s17aff| |tableau| |solveInField| |userOrdered?| |logpart| + |mpsode| |coerceS| |gderiv| |quote| |acsch| |bezoutMatrix| |concat!| + |groebner| |definingInequation| |moebiusMu| |setButtonValue| |factor| + |OMputEndObject| |listBranches| |resultantnaif| |cap| |categoryMode| + |OMsupportsCD?| |orthonormalBasis| |solveLinear| |comp| + |complexEigenvectors| |mathieu24| |OMputFloat| |sqrt| + |lineColorDefault| |innerSolve| |integralCoordinates| + |expressIdealMember| |depth| |algebraicSort| |removeCosSq| + |toseSquareFreePart| |generalizedContinuumHypothesisAssumed?| + |dfRange| |localIntegralBasis| |real| |addPoint2| |one?| |union| + |hostPlatform| |viewThetaDefault| |equality| |quasiComponent| + |doubleResultant| |createMultiplicationTable| |s19adf| |meshPar2Var| + |imag| |d01bbf| |createRandomElement| |curryRight| + |complexEigenvalues| |permutationRepresentation| |dimension| + |algSplitSimple| |directProduct| |oddlambert| |getSyntaxFormsFromFile| + |SturmHabicht| |pol| |divideExponents| |realRoots| |unexpand| + |critpOrder| |triangularSystems| |physicalLength!| |writeByte!| + |rectangularMatrix| |jacobi| |unitVector| |localReal?| + |var2StepsDefault| |hcrf| |e02gaf| |gramschmidt| |brace| + |algebraicCoefficients?| |nextColeman| |cSinh| |squareTop| |arguments| + |numeric| |ricDsolve| |split!| |FormatRoman| |child| |copy| |reindex| + |eof?| |genericRightDiscriminant| |destruct| + |basisOfCommutingElements| |returnTypeOf| |dihedral| |setLabelValue| + |low| |every?| |radical| |symbolIfCan| |setIntersection| |Lazard| + |leftGcd| |coth2tanh| |external?| |exponential1| |prinb| + |externalList| |palginfieldint| |leftTraceMatrix| |leadingIndex| + |factorSquareFreeByRecursion| |primitivePart!| |block| + |selectOptimizationRoutines| |cycleElt| |copy!| |prinpolINFO| + |euclideanSize| |perfectNthPower?| |d02raf| |bernoulliB| + |explogs2trigs| |invertIfCan| |rightPower| |removeSinhSq| + |parabolicCylindrical| |adaptive?| |pr2dmp| |monomial| + |createGenericMatrix| |mindegTerm| |match?| |mapGen| |s17akf| + |exprHasAlgebraicWeight| |subPolSet?| |autoCoerce| |nary?| + |iflist2Result| |multivariate| |seed| |hasoln| |pair?| |setRow!| + |explicitlyFinite?| |ideal| |bivariatePolynomials| |variables| + |hasPredicate?| |cyclicGroup| |setleft!| |exprHasLogarithmicWeights| + |e02ddf| |integral?| |nthFlag| |e01bff| |f01brf| |row| |operation| + |birth| |viewWriteDefault| |condition| |pleskenSplit| |quasiMonic?| + |rightRank| |fibonacci| |getDatabase| |cTan| |paren| |rootPower| + |identitySquareMatrix| |OMputBind| |rCoord| |semiResultantEuclidean2| + |close| |rroot| |size?| |decreasePrecision| |s21baf| F |imagi| + |leftMult| |makeGraphImage| |OMUnknownSymbol?| |setPrologue!| + |interpret| |rewriteSetByReducingWithParticularGenerators| + |commaSeparate| |rightExtendedGcd| |cycle| |makeRecord| |trunc| + |applyRules| |bothWays| |irreducibleRepresentation| |debug| |display| + |mightHaveRoots| |parametric?| |conditionsForIdempotents| |randomR| + |mapDown!| |elementary| |zeroDimPrimary?| |f01ref| D |taylor| |lquo| + |weight| |rightFactorIfCan| |firstUncouplingMatrix| |anfactor| + |readUInt8!| |linSolve| |sturmVariationsOf| |removeConstantTerm| + |bezoutDiscriminant| |laurent| |cyclicSubmodule| |palgLODE| |isOp| + |makeCos| |leadingExponent| |twist| |df2st| |getZechTable| |putGraph| + |puiseux| |ldf2lst| |denominator| |d02gaf| |logIfCan| |laurentIfCan| + |cAsin| |adjoint| |supRittWu?| |removeDuplicates| |leftExactQuotient| + |OMclose| |startTableGcd!| |topPredicate| |identification| |recip| + |eigenvectors| |rk4qc| |redmat| |cCosh| |extend| |seriesSolve| |inv| + |input| |enumerate| |rischNormalize| |d02ejf| + |selectSumOfSquaresRoutines| |light| |isOr| |radicalSimplify| + |numberOfDivisors| |taylorQuoByVar| |ground?| |headAst| |library| + |e02dcf| |triangular?| |credPol| |OMputEndApp| EQ |rationalPower| + |bezoutResultant| |findCycle| |ground| |mathieu12| |setMaxPoints3D| + |iicot| |SFunction| |logGamma| |basisOfRightNucleus| |predicates| + |zoom| |exp1| |initials| |leadingMonomial| F2FG |principalIdeal| + |cycleSplit!| |implies| |ceiling| |decrease| |hMonic| |cAcot| + |normalizedDivide| |Lazard2| |leadingCoefficient| |maxIndex| |scale| + |partialFraction| |f02wef| |leftLcm| |noLinearFactor?| |iicsch| |size| + |multiple?| |isAnd| |internalSubQuasiComponent?| |primitiveMonomials| + |print| |set| |bumptab| |s17dhf| |lazyPremWithDefault| |OMbindTCP| + |euler| |jordanAdmissible?| |makeFR| |jacobiIdentity?| |tanSum| + |resolve| |reductum| |quotientByP| |overlap| |gcdprim| |reify| + |f04qaf| |tubeRadiusDefault| |uncouplingMatrices| |toseInvertibleSet| + |maxrank| |fortran| |univariatePolynomialsGcds| |symmetricSquare| + |f01maf| |kmax| |rightGcd| |nextNormalPoly| |iifact| |selectsecond| + |square?| |mainMonomial| |digits| |lowerCase!| |makeTerm| |transpose| + |mergeFactors| |pmComplexintegrate| |resultantEuclidean| |chebyshevT| + |forLoop| |colorFunction| |s17ajf| |pushdterm| |tRange| + |symmetricGroup| |generator| |categories| |polCase| |screenResolution| + |subNodeOf?| |testModulus| |alternatingGroup| |returns| |f02ajf| + |sylvesterMatrix| |numberOfVariables| |nthFactor| |eq?| |getGoodPrime| + |transcendent?| |makeEq| |bfKeys| |cAsinh| |unparse| |true| |s19acf| + |optpair| |category| |clearDenominator| |OMgetAttr| |cAcoth| + |triangulate| |presub| |postfix| |byteBuffer| |sncndn| |goodnessOfFit| + |defineProperty| |domain| |pointPlot| |graphCurves| |lazyEvaluate| + |laguerreL| |iicosh| |binaryTournament| |pomopo!| |selectPDERoutines| + |basisOfLeftNucloid| |ReduceOrder| |package| |interpolate| |node| + |resetBadValues| |OMopenString| |overlabel| |characteristicSet| + |insert| |members| |linearPart| |create| |singularitiesOf| |exptMod| + |incrementKthElement| |bigEndian| |operators| |splitSquarefree| + |search| |const| |flatten| |show| |normalizeAtInfinity| |divisor| + |fortranLogical| |fractionFreeGauss!| |c06gcf| |tube| |updatD| + |fortranComplex| |c06gqf| |explicitEntries?| |setDifference| |baseRDE| + |listYoungTableaus| |homogeneous?| |prinshINFO| |wholePart| |f01qcf| + |validExponential| |monicCompleteDecompose| |dot| |isQuotient| |trace| + |torsionIfCan| |nonSingularModel| |subset?| |factorList| |pop!| + |viewDefaults| |readIfCan!| |divideIfCan!| |argument| + |radicalEigenvalues| |getPickedPoints| |messagePrint| + |lastSubResultantEuclidean| |iiacoth| |cSin| |cyclotomic| |incr| + |computeCycleEntry| |rootProduct| |nullSpace| |isTimes| |script| + |safeCeiling| |fortranCompilerName| |tanh2trigh| |OMreceive| + |cycleRagits| |monomRDE| |hi| |changeNameToObjf| |plotPolar| |resize| + |partialNumerators| |radicalEigenvectors| |genericRightTrace| + |decomposeFunc| |complementaryBasis| |numberOfComputedEntries| + |directory| |removeCoshSq| |setOfMinN| |ratpart| |bsolve| |divisors| + |iiacsch| |generalizedContinuumHypothesisAssumed| |upperCase!| + |patternMatch| |order| |primlimitedint| |commutativeEquality| + |integralBasis| |e01sef| |upDateBranches| |tex| |height| |rischDEsys| + |solid| |numerator| |iiasec| |thenBranch| + |combineFeatureCompatibility| |setLength!| |pushdown| |cot2tan| + |clearTheIFTable| |removeRoughlyRedundantFactorsInPol| + |SturmHabichtSequence| |sts2stst| |monomialIntPoly| + |setScreenResolution| |d01gaf| |makeVariable| |disjunction| + |primPartElseUnitCanonical!| |elements| |units| |outerProduct| + |ParCond| |integralRepresents| |clearTheSymbolTable| |pointLists| + |showRegion| |s18aff| |normalDeriv| |setLegalFortranSourceExtensions| + |contours| |signatureAst| |cyclicEntries| |gcdcofactprim| |s14baf| + |generateIrredPoly| |squareFreePart| |removeZeroes| |equation| + |fortranCharacter| |point| |hypergeometric0F1| |genericLeftTrace| + |idealiserMatrix| |OMgetBVar| |integral| |lowerCase| |compBound| + |hitherPlane| |quadratic?| |sinh2csch| |noValueMode| |head| + |pushucoef| |comment| |dictionary| |bfEntry| |extractSplittingLeaf| + |internalIntegrate| |dimensionsOf| |normalElement| |center| + |getButtonValue| |rootKerSimp| |invertibleElseSplit?| |exprToUPS| + |log10| |OMParseError?| |limitedIntegrate| |perfectSqrt| |iiacosh| + |host| |increase| |exactQuotient!| |series| |mkcomm| + |numberOfImproperPartitions| |code| |makeSin| |jordanAlgebra?| + |bitand| |f04atf| |setCondition!| |figureUnits| |ScanRoman| + |multMonom| |declare| |leftFactorIfCan| |rowEchelonLocal| + |reducedDiscriminant| |deepestInitial| |primaryDecomp| |bitior| + |genericLeftTraceForm| |setchildren!| |ratDenom| |d03eef| |rational| + |stiffnessAndStabilityOfODEIF| |elColumn2!| |lazyPquo| + |computeCycleLength| |bipolar| |normal?| |gethi| |resetNew| |factors| + |rule| |coerceL| |generate| |changeMeasure| |point?| |close!| + |conjugate| |noKaratsuba| |makeop| |sin?| |f04asf| |inverseLaplace| + |c06eaf| |asimpson| |min| |monicLeftDivide| |resultantReduitEuclidean| + |associates?| |lazyPrem| |e02agf| |inRadical?| |sizePascalTriangle| + |superscript| |sizeMultiplication| |coHeight| |quasiMonicPolynomials| + |incrementBy| |palglimint0| |e01bhf| |rightRecip| |matrix| + |triangSolve| |stFunc2| |representationType| |indicialEquations| + |f02aef| |endOfFile?| |numberOfNormalPoly| |expand| |outputSpacing| + |powers| |color| |genericRightTraceForm| |transcendentalDecompose| + |rightOne| |removeRoughlyRedundantFactorsInContents| |listLoops| + |cycleTail| |expPot| |filterWhile| |components| |shiftRoots| + |saturate| |showTheFTable| |interpretString| |mappingAst| |cos2sec| + |cExp| |currentCategoryFrame| |rename| |filterUntil| |commutative?| + |intChoose| |withPredicates| |roughBase?| |OMputEndAtp| |mkIntegral| + |s21bcf| |OMencodingXML| |smith| |parseString| |select| |OMgetEndAttr| + |inspect| |content| |splitNodeOf!| |meshPar1Var| |lllp| |htrigs| + |minIndex| |rk4| |internalInfRittWu?| |properties| |digit| + |complexNormalize| |resultantReduit| |lift| |leadingSupport| + |direction| |reciprocalPolynomial| |generalTwoFactor| |complexLimit| + |extractProperty| |socf2socdf| |f01rdf| |LazardQuotient2| |primes| + |translate| |reduce| |semiDiscriminantEuclidean| |rightAlternative?| + |newSubProgram| |belong?| |result| |f02awf| |eigenMatrix| + |stoseInvertibleSetreg| |qqq| |groebnerFactorize| |returnType!| + |musserTrials| |scripted?| |mainKernel| |pointSizeDefault| |vspace| + |getOperands| |imagk| Y |mainSquareFreePart| |cTanh| |torsion?| + |coshIfCan| |diagonals| |edf2fi| |primlimintfrac| |leastMonomial| + |shiftRight| |sylvesterSequence| |vectorise| |evaluateInverse| + |hostByteOrder| |trailingCoefficient| |tubePoints| |unit| |f02aff| + |boundOfCauchy| |label| |cross| |charpol| |leadingTerm| |character?| + |pmintegrate| |retractable?| |nextPrimitiveNormalPoly| |meshFun2Var| + |appendPoint| |reverseLex| |palgRDE| |lastSubResultant| |univcase| + |closedCurve| |hermite| |clipPointsDefault| + |semiSubResultantGcdEuclidean2| |goto| |coefficients| |upperCase?| + |constantLeft| |distFact| |semiLastSubResultantEuclidean| |c06fpf| + |putProperties| |extractClosed| |getMultiplicationTable| |setEmpty!| + |rewriteIdealWithHeadRemainder| |complement| |acosIfCan| + |exactQuotient| |lazyResidueClass| |setRealSteps| |poisson| |polyPart| + |factorPolynomial| |componentUpperBound| |nand| |iCompose| |epilogue| + |rightDiscriminant| |OMputApp| |yellow| |outputGeneral| |key?| + |OMlistCDs| |outputAsFortran| |thetaCoord| |quotedOperators| UTS2UP + |parents| |f02bbf| |currentSubProgram| |isPlus| |norm| |swapRows!| + |d02kef| |approxSqrt| |addMatch| |constructor| |setAdaptive3D| + |createNormalElement| |finite?| |lookup| |pointData| |coerceImages| + |f04adf| |byte| |linearDependence| |outlineRender| |tanNa| |option| + |fill!| |factorSFBRlcUnit| |setMinPoints3D| |sPol| |showSummary| + |tubeRadius| |getMatch| |lookupFunction| |halfExtendedResultant1| + |screenResolution3D| |cSec| |limitPlus| |mainVariables| + |deleteRoutine!| |chiSquare1| |mesh| |primeFactor| |element?| + |largest| |decimal| |LyndonCoordinates| |member?| |modifyPoint| + |iidsum| |showAttributes| |c05nbf| |dmpToHdmp| |swap!| |region| + |factorset| |cyclicEqual?| |localAbs| |ode2| |outputList| + |numberOfComposites| |littleEndian| |atom?| |module| + |dimensionOfIrreducibleRepresentation| |padicFraction| |subSet| + |basis| |cAtan| |ef2edf| |stack| |rightTrim| |semicolonSeparate| + |semiIndiceSubResultantEuclidean| |name| |f02akf| |double| + |lazyIrreducibleFactors| |radicalEigenvector| |readBytes!| |bat1| + |initTable!| |polynomialZeros| |leftTrim| |brillhartTrials| |sinhcosh| + |body| |deleteProperty!| |unitNormal| |stopTableInvSet!| |coleman| + |nthExponent| |safeFloor| |int| |setClosed| |tanQ| + |createNormalPrimitivePoly| |null| |determinant| |changeName| |e02bdf| + |mapdiv| |critT| |separateDegrees| |fixedPoint| |imagJ| |loopPoints| + |uniform01| |signature| |cCsc| |not| |mathieu22| |string?| + |var1StepsDefault| |fixedDivisor| BY |factorsOfDegree| + |minimalPolynomial| |subResultantGcd| |pushuconst| |totalDegree| |dim| + |frst| |and| |polygon| |vector| |d02cjf| |s18adf| |ignore?| |output| + |twoFactor| |partialQuotients| |printStats!| |balancedBinaryTree| + |monomRDEsys| |escape| |or| |binary| |differentiate| |cdr| + |reduceByQuasiMonic| |firstSubsetGray| |setColumn!| |positive?| + |processTemplate| |restorePrecision| |shift| |elaboration| |xor| + |asinhIfCan| |zeroOf| |s19aaf| |swap| |minordet| |cAcsc| |terms| |nor| + |e04ycf| |declare!| |permutation| |case| |lepol| |nonQsign| |atoms| + |assert| |cAsec| |cot2trig| |irForm| |port| |realSolve| |tanAn| + |cycleLength| |pattern| |setClipValue| |Zero| |internalAugment| + |makeSketch| |fixPredicate| |bringDown| |extendedResultant| |s15aef| + |hconcat| |setAttributeButtonStep| |totalGroebner| |One| + |swapColumns!| |insertionSort!| |move| |internalSubPolSet?| |simplify| + |palgint0| |t| |superHeight| |writeInt8!| |quadratic| |minPoly| NOT + |qualifier| |f04faf| |iFTable| |genericRightMinimalPolynomial| + |semiResultantEuclidean1| |ldf2vmf| |nextPrimitivePoly| |algint| + |entries| |conjugates| OR |heapSort| |OMgetError| |nextSublist| + |genericLeftMinimalPolynomial| |LazardQuotient| + |sumOfKthPowerDivisors| |airyBi| |att2Result| |zeroMatrix| + |getProperty| |message| AND |monicDivide| |exponent| + |subresultantVector| |exprex| |buildSyntax| |select!| |genus| + |leftNorm| |symmetricTensors| |palgextint| |OMgetType| |writeUInt8!| + |badValues| |style| |cscIfCan| |paraboloidal| |logical?| + |removeSuperfluousCases| |useEisensteinCriterion| |front| + |complexExpand| |segment| |elt| |setelt!| |alphanumeric?| + |degreeSubResultantEuclidean| |rotate!| |getGraph| |elliptic?| + |categoryFrame| |physicalLength| |complexForm| |cond| |mkAnswer| + |e02adf| |commutator| |bandedHessian| |dihedralGroup| |Frobenius| + |systemSizeIF| |symbol?| |ruleset| |connectTo| |adaptive3D?| + |stosePrepareSubResAlgo| |readLine!| |linear?| |rur| |mvar| + |dualSignature| |PDESolve| |leftRecip| |coordinate| + |absolutelyIrreducible?| |more?| |binding| |dmp2rfi| + |stiffnessAndStabilityFactor| |leftFactor| |ffactor| |normInvertible?| + |radicalRoots| |fortranDoubleComplex| |s13aaf| |cons| + |prolateSpheroidal| |matrixGcd| |ref| |degreeSubResultant| |second| + |leadingCoefficientRicDE| |gcdPolynomial| |c06ecf| |totalLex| |prod| + |minPol| |nthr| |suchThat| |basisOfLeftAnnihilator| |leftDivide| + |badNum| |OMconnectTCP| |hasHi| |recolor| |third| |revert| + |linkToFortran| |root?| |rationalApproximation| |critMonD1| + |singleFactorBound| |halfExtendedSubResultantGcd1| |moduloP| + |selectMultiDimensionalRoutines| |computePowers| |makingStats?| + |cartesian| |elseBranch| |semiSubResultantGcdEuclidean1| |taylorIfCan| + |resultant| |void| |lazy?| |property| |top!| |dual| |setEpilogue!| + |quoByVar| * |ran| |clipBoolean| |component| |multinomial| |satisfy?| + |systemCommand| |minPoints3D| |rewriteSetWithReduction| |nlde| + |graphs| |reducedContinuedFraction| |OMsetEncoding| |cCot| + |createIrreduciblePoly| |patternVariable| |has?| + |certainlySubVariety?| |var1Steps| |beauzamyBound| |leftRemainder| + |padecf| |antisymmetricTensors| |squareFreeFactors| + |internalDecompose| |ratPoly| |constantOpIfCan| |elaborate| + |rational?| |subHeight| |leaves| |source| |power!| |cubic| |children| + |mergeDifference| |replaceKthElement| |middle| |discriminant| + |removeRoughlyRedundantFactorsInPols| = |getlo| |monomials| |clip| + |makeUnit| |basisOfCentroid| |sorted?| |s14aaf| |f02fjf| |normal| + |LagrangeInterpolation| |showArrayValues| |macroExpand| |typeLists| + |startPolynomial| |rationalFunction| |partitions| |polygamma| + |plusInfinity| |unknownEndian| |monicRightFactorIfCan| + |functionIsFracPolynomial?| |iterationVar| |iicos| |schema| |expr| < + |radicalSolve| |countable?| |f04arf| |shellSort| |f02agf| + |minusInfinity| |outputFloating| |bitTruth| |sqfrFactor| |printHeader| + |chineseRemainder| |char| > |prime?| |bottom!| |infix| |invmod| + |showTheSymbolTable| |extractIfCan| |lagrange| |zeroDimensional?| + |mirror| |subtractIfCan| |ratDsolve| <= |myDegree| |quadraticForm| + |useNagFunctions| |d03edf| |target| |rotatey| |transcendenceDegree| + |c06frf| |printInfo!| |matrixDimensions| >= |nextsousResultant2| + |algintegrate| |OMputInteger| |shanksDiscLogAlgorithm| + |bandedJacobian| |lSpaceBasis| |jacobian| |toScale| |OMgetBind| + |PollardSmallFactor| |variable| |henselFact| |s18aef| |zag| + |rightUnits| |addiag| |cylindrical| |tablePow| |coerceListOfPairs| + |mathieu23| |harmonic| |iterators| |Hausdorff| |univariatePolynomials| + |inGroundField?| |e04ucf| |f01qdf| |type| |reduceBasisAtInfinity| + |coefficient| |factorial| |lifting1| |initiallyReduced?| + |completeHensel| + |contains?| |elRow1!| |quotient| |Si| |makeMulti| + |nextItem| |reduction| |removeRedundantFactors| |stopMusserTrials| + |prevPrime| - |float| |f04jgf| |quartic| |comparison| + |eisensteinIrreducible?| |rst| |algebraic?| |nonLinearPart| FG2F + |expintegrate| |variationOfParameters| |jokerMode| / |mapUnivariate| + |contract| |deepCopy| |splitDenominator| |leftZero| |lfinfieldint| + |symbol| |bumptab1| |antisymmetric?| |magnitude| + |createLowComplexityNormalBasis| |id| |rationalIfCan| |regime| |scan| + |leftRank| |newLine| |factorAndSplit| |fullDisplay| |getVariableOrder| + |expression| |tubePointsDefault| |computeBasis| |lo| |substitute| + |solid?| |callForm?| |rightTrace| |stFuncN| |number?| |zeroDimPrime?| + |extendedint| |e02ajf| |integer| |c06ebf| |iitan| |getProperties| + |fracPart| |d01anf| |linears| |value| |polar| + |standardBasisOfCyclicSubmodule| |OMencodingUnknown| |coth2trigh| + |mainForm| |s20acf| |mappingMode| |insertMatch| |delete!| + |outputFixed| |removeDuplicates!| |extensionDegree| |qinterval| + |f02adf| |even?| |viewDeltaXDefault| |orbits| |orbit| |perfectNthRoot| + |queue| |cAcsch| |npcoef| |bounds| |keys| |status| |iidprod| + |setScreenResolution3D| |OMconnInDevice| |indiceSubResultantEuclidean| + |e02ahf| |subResultantsChain| |symbolTable| |leftMinimalPolynomial| + |solveLinearPolynomialEquationByRecursion| |primintfldpoly| + |calcRanges| |roughUnitIdeal?| |makeprod| GE |wreath| + |selectNonFiniteRoutines| |OMgetFloat| |getExplanations| + |clipParametric| |OMputEndBVar| |hclf| GF2FG |ListOfTerms| + |OMputString| GT |oddInfiniteProduct| |removeSinSq| |reducedForm| + |minrank| |pushFortranOutputStack| |cup| |squareMatrix| |s14abf| + |setAdaptive| |list?| |extractIndex| LE |createLowComplexityTable| + |pseudoQuotient| |currentScope| |diophantineSystem| + |popFortranOutputStack| |getCode| |expintfldpoly| |isList| |getOrder| + |lifting| |explicitlyEmpty?| LT |setErrorBound| |insert!| + |integralBasisAtInfinity| |regularRepresentation| + |createMultiplicationMatrix| |bubbleSort!| |finiteBasis| + |infieldIntegrate| |asecIfCan| |wrregime| |rightUnit| |duplicates?| + |weighted| |stopTable!| |compose| |quasiRegular| |OMgetEndBVar| + |newTypeLists| |internalIntegrate0| |lex| |Ei| |addBadValue| |cAcosh| + |pushNewContour| |associative?| |groebSolve| |multiEuclideanTree| + |irreducibleFactors| |stoseInvertible?sqfreg| |pole?| |wholeRadix| + |inverseColeman| |f02axf| |froot| |d02bbf| |d03faf| |discreteLog| + |completeSmith| |gcdPrimitive| |open| |simpleBounds?| |pToDmp| + |setVariableOrder| |positiveSolve| |simpsono| |qroot| |weakBiRank| + |submod| |index| |e02akf| |setMinPoints| |tree| |OMputEndBind| |real?| + |brillhartIrreducible?| |minGbasis| |wordsForStrongGenerators| + |complete| |accuracyIF| |OMencodingBinary| |csc2sin| |pascalTriangle| + |s17aef| |iteratedInitials| |edf2ef| |bombieriNorm| |rotatez| |sn| + |makeFloatFunction| |solveid| |reduceLODE| |subResultantChain| + |BasicMethod| |leastPower| |measure| |d01asf| |numericalOptimization| + |parent| |complexElementary| |readUInt16!| |pair| |printStatement| + |operations| |isMult| |hermiteH| |drawComplex| |expIfCan| + |mapUnivariateIfCan| |f01qef| |bright| |primitiveElement| |viewpoint| + |primeFrobenius| |tab1| |precision| |entry?| |mainExpression| + |indices| |yCoord| |inverseIntegralMatrixAtInfinity| + |solveLinearPolynomialEquation| |chainSubResultants| |nil?| + |firstNumer| |genericLeftNorm| |critBonD| |fglmIfCan| |zeroVector| + |halfExtendedSubResultantGcd2| |lflimitedint| |eval| |modulus| + |setProperty| |imagK| |primintegrate| |oneDimensionalArray| + |inconsistent?| |float?| |setImagSteps| |notelem| |aQuadratic| + |usingTable?| |addPointLast| |traceMatrix| |e02baf| |besselJ| |iomode| + |headReduce| |elliptic| |unaryFunction| |lieAdmissible?| |horizConcat| + |factorOfDegree| |d01gbf| |iiexp| |mindeg| |iiasech| |shuffle| |error| + |curryLeft| |monomial?| |coercePreimagesImages| |sample| |OMgetString| + |width| |rootOf| |newReduc| |e04gcf| |iicoth| |asinIfCan| + |getMultiplicationMatrix| |leftUnit| |abs| |medialSet| |aspFilename| + |nextNormalPrimitivePoly| |mainValue| |backOldPos| |midpoints| + |optimize| |innerSolve1| |lyndonIfCan| |fmecg| |imagE| |rules| + |linGenPos| |commonDenominator| |function| |monic?| |s17dlf| + |squareFree| |linearAssociatedOrder| |just| |checkPrecision| |e02def| + |compactFraction| |alternative?| |varselect| |differentialVariables| + |branchPointAtInfinity?| |shade| |derivationCoordinates| |s17def| + |cotIfCan| |controlPanel| |subst| |neglist| |rename!| |outputAsTex| + |closed?| |s13adf| |setStatus| |createZechTable| |modTree| + |acoshIfCan| |mapCoef| |listOfLists| |mr| |balancedFactorisation| + |meatAxe| |mainCharacterization| |high| |trapezoidal| |green| + |OMgetEndError| |prologue| |testDim| |taylorRep| |OMgetEndObject| + |traverse| |typeList| |initiallyReduce| |reducedSystem| |optional| + |sh| |hex| |pade| |associator| |makeResult| |resetAttributeButtons| + |euclideanNormalForm| |linearMatrix| |pdct| |OMputObject| |isNot| + |leadingIdeal| |endSubProgram| |radicalOfLeftTraceForm| + |nthFractionalTerm| |c05adf| |countRealRootsMultiple| |collect| + |decompose| |any| |powern| |in?| |readInt16!| |rowEchLocal| + |axesColorDefault| |UP2ifCan| |s17ahf| |iiasinh| |maxPoints3D| + |modularGcd| |varList| |iilog| |knownInfBasis| |bivariate?| |pdf2ef| + |setvalue!| |objects| |rem| |OMopenFile| |root| |cyclic?| |lighting| + |Vectorise| |realElementary| |interactiveEnv| |cCsch| + |leviCivitaSymbol| |useSingleFactorBound?| |base| |quo| + |factorByRecursion| |curve| |slash| |removeSuperfluousQuasiComponents| + |s21bdf| |solve1| |modularFactor| |rombergo| |morphism| |connect| + |binarySearchTree| |OMgetEndApp| |youngGroup| |lazyGintegrate| + |realEigenvectors| |mainVariable| |domainTemplate| |errorInfo| + |printCode| |weierstrass| |div| |polarCoordinates| |startTable!| + |bindings| |equiv| |totalfract| |rootsOf| |symFunc| |lcm| + |rubiksGroup| |hyperelliptic| |selectIntegrationRoutines| |init| + |alphabetic| |exquo| |eulerPhi| |delete| |binomial| |upperCase| + |iiasin| |convergents| |functionIsContinuousAtEndPoints| + |clearFortranOutputStack| |leastAffineMultiple| |rk4a| ~= |summation| + |e02bbf| |rightMult| |expandPower| |s15adf| |append| |showTheIFTable| + |c05pbf| |argumentList!| |relationsIdeal| |numberOfComponents| |#| + |intermediateResultsIF| |shallowCopy| |fi2df| |product| |ravel| + |factorSquareFreePolynomial| |option?| |prefixRagits| |rightNorm| + |gcd| |Aleph| |normalizeIfCan| ~ |critM| |hdmpToP| |refine| |sin2csc| + |doubleRank| |reshape| |coord| |setlast!| |false| |uniform| |nullary| + |consnewpol| |typeForm| |freeOf?| |collectQuasiMonic| |palgextint0| + |d02bhf| |lintgcd| |areEquivalent?| |OMputEndError| |fractRagits| + |f07adf| |RittWuCompare| |outputBinaryFile| + |lastSubResultantElseSplit| |infRittWu?| |karatsuba| |moreAlgebraic?| + |apply| |OMread| |OMreadFile| |nextPartition| |attributeData| |c06gbf| + |/\\| |normalize| |infLex?| |semiResultantReduitEuclidean| + |viewPhiDefault| |e04jaf| |first| |ridHack1| |fullPartialFraction| + |overbar| |principalAncestors| |llprop| |\\/| |readByte!| + |wordInStrongGenerators| |OMwrite| |quatern| |before?| |rest| + |startTableInvSet!| |roman| |replace| |cosSinInfo| |clipSurface| + |previous| |bag| |delta| |eigenvector| |car| |interval| |split| |plus| + |update| |coerce| |aCubic| |outputMeasure| |remove!| + |cyclotomicDecomposition| |cRationalPower| |approxNthRoot| + |OMgetVariable| |evaluate| |zeroSetSplitIntoTriangularSystems| |sup| + |construct| |showScalarValues| |qPot| |normalDenom| |rdHack1| + |LiePolyIfCan| |constantToUnaryFunction| |showClipRegion| + |HermiteIntegrate| |distance| |changeWeightLevel| |datalist| + |LyndonWordsList| |firstDenom| |OMconnOutDevice| |rightDivide| + |fixedPoints| |infinite?| |exQuo| |rdregime| |sec2cos| |ode| + |exponential| |times| |graeffe| |minset| |subNode?| |innerint| + |showAllElements| |powerSum| |f04mbf| |outputArgs| |generalSqFr| |Is| + |showTheRoutinesTable| |exponents| |lfextendedint| |btwFact| + |readUInt32!| |e04mbf| |s17dcf| |normalise| |ptFunc| |opeval| |e02aef| + |position| |infieldint| |noncommutativeJordanAlgebra?| |OMcloseConn| + |lieAlgebra?| |selectAndPolynomials| |directSum| |pdf2df| |tubePlot| + |derivative| |parabolic| |isImplies| |readInt32!| |leftUnits| + |solveLinearlyOverQ| |denominators| |divisorCascade| |lambda| + |LyndonBasis| |atrapezoidal| |localUnquote| |viewPosDefault| + |leadingBasisTerm| |monom| |rank| |wordInGenerators| |ramified?| + |stronglyReduced?| |extract!| |cCos| |factorsOfCyclicGroupSize| + |vconcat| |find| |antiCommutator| |Ci| |biRank| |algDsolve| |unit?| + |hue| |basisOfMiddleNucleus| |position!| |universe| |f07aef| + |explimitedint| |monicModulo| |trueEqual| |mapSolve| |printingInfo?| + |limit| |normFactors| |symmetricProduct| |An| |antiCommutative?| + |topFortranOutputStack| |edf2efi| |bits| |common| |trigs2explogs| + |basicSet| |arrayStack| |shallowExpand| |inverseIntegralMatrix| + |internalZeroSetSplit| |mainDefiningPolynomial| + |unrankImproperPartitions0| |xn| |subscript| |safetyMargin| |makeCrit| + |e02bef| |loadNativeModule| |getOperator| |d01aqf| + |algebraicVariables| |integralMatrix| |collectUpper| + |generalizedEigenvectors| |OMgetSymbol| |generalizedEigenvector| + |readInt8!| |digit?| |lfextlimint| |rightMinimalPolynomial| + |basisOfNucleus| |coerceP| |normal01| |printInfo| |highCommonTerms| + |headRemainder| |iisinh| |mapmult| |rk4f| |dmpToP| |remainder| + |tensorProduct| |f01mcf| |extractPoint| |mapExponents| |deref| + |nextPrime| |definingEquations| |scalarTypeOf| |drawCurves| + |setprevious!| |lists| |log| |alphabetic?| |polyRicDE| |node?| + |whileLoop| |cyclePartition| |OMUnknownCD?| |sincos| |makeSeries| + |listexp| |diagonalProduct| |imagI| |gradient| + |primPartElseUnitCanonical| |zerosOf| |associatorDependence| + |showFortranOutputStack| |symmetricDifference| |idealiser| |elem?| + |tryFunctionalDecomposition| |possiblyInfinite?| |setelt| |setStatus!| + |constantCoefficientRicDE| |headReduced?| |closed| |OMsend| |erf| + |irDef| |presuper| |dark| |aLinear| |unary?| |rowEch| |capacity| + |someBasis| |makeViewport3D| |indicialEquationAtInfinity| |baseRDEsys| + |max| |semiDegreeSubResultantEuclidean| |minimize| |youngDiagram| + |nthRoot| |distribute| |totolex| |infinityNorm| |integer?| |li| + |OMputAtp| |LyndonWordsList1| |conditionP| |zero| |leftQuotient| + |invmultisect| |iroot| |reverse| |rowEchelon| |numericalIntegration| + |tanh2coth| |palgRDE0| |rewriteIdealWithRemainder| |dilog| + |leftDiscriminant| |closeComponent| |s17agf| |monicDecomposeIfCan| + |tanhIfCan| |factorSquareFree| |e01sff| |assign| |iiacos| |denomRicDE| + |sin| |nthCoef| |palgintegrate| |lyndon| |SturmHabichtMultiple| |And| + |ODESolve| |FormatArabic| |setright!| |lprop| |df2ef| + |nextIrreduciblePoly| |cos| |curveColor| |bracket| |autoReduced?| + |setOrder| |Or| |extractTop!| |f2df| |OMputSymbol| |unknown| + |scanOneDimSubspaces| |nthExpon| |SturmHabichtCoefficients| |tan| + |droot| |OMlistSymbols| |randnum| |resetVariableOrder| |Not| + |createPrimitiveNormalPoly| |iiabs| |yCoordinates| + |numberOfFractionalTerms| |irreducible?| |getBadValues| |cot| |cLog| + |minPoints| |complex?| |push!| |getStream| |OMencodingSGML| + |bivariateSLPEBR| |symbolTableOf| |innerEigenvectors| |sequences| + |sec| |mainCoefficients| |mesh?| |euclideanGroebner| |octon| + |nullary?| |eigenvalues| |stFunc1| |OMgetInteger| |radix| |csc| |mat| + |column| |insertRoot!| |generalizedInverse| |sumSquares| |bytes| + |tryFunctionalDecomposition?| |minimumDegree| |stirling2| |pile| + |asin| |test| |e01sbf| |contractSolve| |mulmod| + |ScanFloatIgnoreSpacesIfCan| |identity| |rationalPoints| |putProperty| + |multiEuclidean| |ode1| |se2rfi| |divide| |acos| |pointColorPalette| + |moebius| |getRef| |subTriSet?| |iiatan| |parts| + |fortranCarriageReturn| |dioSolve| |quadraticNorm| |permanent| + |hexDigit?| |csch2sinh| |atan| |doubleDisc| |subResultantGcdEuclidean| + |reorder| |is?| |flagFactor| |redPol| |errorKind| |polygon?| |acot| + |rangePascalTriangle| |iiperm| |viewport3D| |OMgetObject| + |optAttributes| |extractBottom!| |intPatternMatch| |generic?| + |mainVariable?| |asec| |complexRoots| |numberOfIrreduciblePoly| + |quasiRegular?| |vertConcat| |printTypes| |findConstructor| |midpoint| + |rootOfIrreduciblePoly| |mix| |cn| |acsc| |environment| |dequeue| + |xCoord| |integralAtInfinity?| |kovacic| |remove| |read!| |e01saf| + |prefix| |sinh| |constantKernel| |elRow2!| |outputAsScript| + |complexNumericIfCan| |makeYoungTableau| |pseudoDivide| + |characteristicSerie| |factorials| |fixedPointExquo| |cosh| + |outputForm| |charClass| |cPower| |sayLength| |tower| |groebnerIdeal| + |last| |completeEval| |continuedFraction| |pToHdmp| |degree| |tanh| + |computeInt| |eq| |leader| |antiAssociative?| |discriminantEuclidean| + |reducedQPowers| |assoc| |dimensions| |ip4Address| |isConnected?| + |df2fi| |extendedSubResultantGcd| |coth| |iter| |lazyPseudoQuotient| + |halfExtendedResultant2| |setTopPredicate| |parametersOf| |multisect| + |obj| |sqfree| |minRowIndex| |sech| |findBinding| |f07fef| + |integralLastSubResultant| |exprToXXP| |numericIfCan| |binaryFunction| + |stoseInvertibleSetsqfreg| |lowerCase?| |range| |cache| |csch| + |palglimint| |rootDirectory| |sech2cosh| |minColIndex| + |possiblyNewVariety?| |groebner?| |dequeue!| |subscriptedVariables| + |removeRedundantFactorsInContents| |asinh| |nextLatticePermutation| + |besselY| |pointColorDefault| |complexNumeric| |nodeOf?| |eyeDistance| + |s20adf| |trigs| |acosh| |failed?| |lfintegrate| |numFunEvals| |back| + |anticoord| |Nul| |graphStates| |ScanArabic| |diagonalMatrix| |atanh| + |iisec| |isAtom| |createThreeSpace| |kernels| |signAround| + |completeHermite| |basisOfRightNucloid| + |solveLinearPolynomialEquationByFractions| |edf2df| |mdeg| |acoth| + |index?| |d01amf| |routines| |stoseInvertible?| |operator| + |univariateSolve| |binaryTree| |subQuasiComponent?| |leftScalarTimes!| + |updateStatus!| |asech| |level| |redpps| |exp| |permutationGroup| + |surface| |colorDef| |dflist| |d01apf| |simplifyExp| |d01fcf| + |LowTriBddDenomInv| |squareFreePrim| |companionBlocks| |iiatanh| + |limitedint| |GospersMethod| |genericLeftDiscriminant| + |cyclotomicFactorization| |sumOfSquares| |lexico| |pastel| |multiple| + |sizeLess?| |stopTableGcd!| |separate| |oblateSpheroidal| + |deepestTail| |setFieldInfo| |modifyPointData| |sturmSequence| + |merge!| |var2Steps| |applyQuote| |sortConstraints| |heap| |compile| + |cfirst| |map| |table| |legendreP| |iicsc| |composite| |ocf2ocdf| + |algebraicOf| |viewport2D| |leftRankPolynomial| |perspective| + |HenselLift| |new| |permutations| |sumOfDivisors| |multiset| + |univariate?| |definingPolynomial| |unravel| |problemPoints| |f01rcf| + |check| |iisqrt2| |checkForZero| |tanintegrate| |stoseSquareFreePart| + |integrate| |singularAtInfinity?| |s19abf| |fortranLinkerArgs| + |setrest!| |bit?| |retract| |plenaryPower| |romberg| |repeatUntilLoop| + |duplicates| |nil| |completeEchelonBasis| |lazyVariations| |tan2cot| + |stoseInvertible?reg| |vark| |diff| |denomLODE| |encodingDirectory| + |separateFactors| |relerror| |cosIfCan| |maxdeg| |realEigenvalues| + |convert| |acotIfCan| |exponentialOrder| |invertible?| |bitCoef| + |e02dff| |divergence| |irVar| |expint| |tValues| |normalizedAssociate| + |legendre| |internalLastSubResultant| |drawComplexVectorField| |pquo| + |approximate| |mainContent| |whatInfinity| |divideIfCan| + |rightExactQuotient| |leftTrace| UP2UTS |readable?| |box| + |positiveRemainder| |writeBytes!| |complex| |stop| |diagonal| |sort!| + |primextintfrac| |unitsColorDefault| |reduced?| |singRicDE| RF2UTS + |plus!| |prepareSubResAlgo| |ellipticCylindrical| |interReduce| + |subCase?| |shufflein| |janko2| |fortranReal| |integers| |drawToScale| + |geometric| |e04dgf| |simplifyLog| |open?| |branchIfCan| |acscIfCan| + |f2st| |secIfCan| |numerators| |OMmakeConn| |failed| |difference| + |numberOfHues| |linearDependenceOverZ| |cCoth| |left| |empty?| + |setleaves!| |linearPolynomials| |OMsupportsSymbol?| |fortranTypeOf| + |principal?| |s17adf| |blankSeparate| |makeViewport2D| |right| + |curveColorPalette| |fTable| |mkPrim| |rootBound| |s17dgf| |d02gbf| + |child?| |repeating| |rootSimp| |evenlambert| |iipow| + |listRepresentation| |ksec| |hspace| |initial| |leftPower| |moduleSum| + |numberOfMonomials| |pushup| |aromberg| |reverse!| |c06fuf| |imagj| + |indiceSubResultant| |integerBound| |prime| |phiCoord| + |stoseIntegralLastSubResultant| |odd?| |roughEqualIdeals?| |empty| + |skewSFunction| |nilFactor| |setsubMatrix!| |maxPoints| |nthRootIfCan| + |lyndon?| |OMunhandledSymbol| |iisin| |expandTrigProducts| + |createPrimitiveElement| |supersub| |next| |tab| |radPoly| + |toseLastSubResultant| |complexZeros| |central?| |bitLength| + |rightScalarTimes!| |graphImage| |rightRemainder| |mainMonomials| + |monomialIntegrate| |arity| |laplace| |finiteBound| |numberOfChildren| + |intensity| |irreducibleFactor| |points| |optional?| |cAcos| + |generators| |getMeasure| |power| |expt| |setTex!| |generalPosition| + |diag| |red| |scopes| |e01bgf| |functorData| |vedf2vef| + |squareFreeLexTriangular| |atanIfCan| |ranges| |subspace| |Gamma| + |imaginary| |OMputError| |zCoord| |key| |conjunction| |mapUp!| + |changeVar| |listOfMonoms| |stripCommentsAndBlanks| |infiniteProduct| + |d01akf| |csubst| |iisqrt3| |d01ajf| |rotatex| + |linearlyDependentOverZ?| |iiGamma| |overset?| + |generalInfiniteProduct| |cschIfCan| |cycleEntry| |conical| |filename| + |realZeros| |exprHasWeightCosWXorSinWX| |B1solve| |subMatrix| |eulerE| + |karatsubaDivide| |associatedEquations| |normalized?| |over| + |repeating?| |raisePolynomial| |rightRankPolynomial| |idealSimplify| + |isAbsolutelyIrreducible?| |copyInto!| |compdegd| |mainPrimitivePart| + |allRootsOf| |parse| |setFormula!| |clipWithRanges| |writeLine!| + |represents| |quoted?| |airyAi| |gbasis| |adaptive| |argumentListOf| + |super| |primextendedint| |cAsech| |pureLex| |checkRur| |lexGroebner| + |rotate| |OMserve| |laurentRep| |rightLcm| |quickSort| |OMgetApp| + |omError| |atanhIfCan| |prindINFO| |tail| |variable?| + |createNormalPoly| |polyred| |RemainderList| |log2| + |functionIsOscillatory| |recur| |inHallBasis?| |s18def| |less?| + |setPredicates| |removeSquaresIfCan| |ramifiedAtInfinity?| |c02agf| + |leftAlternative?| |pack!| |toroidal| |weights| |rationalPoint?| + |mapBivariate| |wronskianMatrix| |zero?| |setMaxPoints| |augment| + |solve| |call| |charthRoot| |entry| |cyclicParents| |e04fdf| |plot| + |say| |f02xef| |selectFiniteRoutines| |write!| |repSq| + |lazyPseudoRemainder| |lazyPseudoDivide| |arg1| |integerIfCan| + |OMgetAtp| |chebyshevU| |clearTheFTable| |complexIntegrate| |iprint| + |OMreadStr| |fractionPart| |maxrow| |gensym| |arg2| + |particularSolution| |cycles| |reset| |options| |lexTriangular| + |bumprow| |dn| |doubleFloatFormat| |e02daf| |nativeModuleExtension| + |dom| |sum| |normalForm| |useSingleFactorBound| |factorFraction| + |distdfact| |inc| |rootSplit| |iitanh| |s18acf| |wholeRagits| |latex| + |conditions| |elaborateFile| |conjug| |showAll?| |write| + |UpTriBddDenomInv| |makeSUP| |nil| |infinite| |arbitraryExponent| + |approximate| |complex| |shallowMutable| |canonical| |noetherian| + |central| |partiallyOrderedSet| |arbitraryPrecision| + |canonicalsClosed| |noZeroDivisors| |rightUnitary| |leftUnitary| + |additiveValuation| |unitsKnown| |canonicalUnitNormal| + |multiplicativeValuation| |finiteAggregate| |shallowlyMutable| + |commutative|)
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T) ((-234 $) -2781 (-12 (|has| |#2| (-237)) (|has| |#2| (-1068))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1068)))) ((-232 |#2|) |has| |#2| (-1068)) ((-238) -12 (|has| |#2| (-238)) (|has| |#2| (-1068))) ((-237) -2781 (-12 (|has| |#2| (-237)) (|has| |#2| (-1068))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1068)))) ((-272 |#2|) |has| |#2| (-1068)) ((-296 #1=(-576) |#2|) . T) ((-298 #1# |#2|) . T) ((-319 |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1119))) ((-379) |has| |#2| (-379)) ((-388 |#2|) |has| |#2| (-1068)) ((-423 |#2|) |has| |#2| (-1119)) ((-501 |#2|) . T) ((-616 #1# |#2|) . 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T) ((-1293 |#2|) |has| |#2| (-374))) -((-2645 (((-245 |#1| |#3|) (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|) 21)) (-2488 ((|#3| (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|) 23)) (-4096 (((-245 |#1| |#3|) (-1 |#3| |#2|) (-245 |#1| |#2|)) 18))) -(((-244 |#1| |#2| |#3|) (-10 -7 (-15 -2645 ((-245 |#1| |#3|) (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|)) (-15 -2488 (|#3| (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|)) (-15 -4096 ((-245 |#1| |#3|) (-1 |#3| |#2|) (-245 |#1| |#2|)))) (-783) (-1236) (-1236)) (T -244)) -((-4096 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *7 *6)) (-5 *4 (-245 *5 *6)) (-14 *5 (-783)) (-4 *6 (-1236)) (-4 *7 (-1236)) (-5 *2 (-245 *5 *7)) (-5 *1 (-244 *5 *6 *7)))) (-2488 (*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *6 *2)) (-5 *4 (-245 *5 *6)) (-14 *5 (-783)) (-4 *6 (-1236)) (-4 *2 (-1236)) (-5 *1 (-244 *5 *6 *2)))) (-2645 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 *5 *7 *5)) (-5 *4 (-245 *6 *7)) (-14 *6 (-783)) (-4 *7 (-1236)) (-4 *5 (-1236)) (-5 *2 (-245 *6 *5)) (-5 *1 (-244 *6 *7 *5))))) -(-10 -7 (-15 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T) ((-937) |has| |#1| (-568)) ((-1057 (-419 (-576))) -2781 (|has| |#1| (-1057 (-419 (-576)))) (-12 (|has| |#1| (-568)) (|has| |#1| (-1057 (-576))))) ((-1057 #1#) |has| |#1| (-568)) ((-1057 (-576)) |has| |#1| (-1057 (-576))) ((-1057 #2#) . T) ((-1057 #3#) |has| |#1| (-1068)) ((-1057 #4#) . T) ((-1057 |#1|) . T) ((-1070 #0#) |has| |#1| (-568)) ((-1070 |#1|) |has| |#1| (-174)) ((-1070 $) |has| |#1| (-568)) ((-1075 #0#) |has| |#1| (-568)) ((-1075 |#1|) |has| |#1| (-174)) ((-1075 $) |has| |#1| (-568)) ((-1068) -2781 (|has| |#1| (-1068)) (|has| |#1| (-568)) (|has| |#1| (-174)) (|has| |#1| (-148)) (|has| |#1| (-146))) ((-1077) -2781 (|has| |#1| (-1068)) (|has| |#1| (-568)) (|has| |#1| (-174)) (|has| |#1| (-148)) (|has| |#1| (-146))) ((-1131) -2781 (|has| |#1| (-1131)) (|has| |#1| (-1068)) (|has| |#1| (-568)) (|has| |#1| (-485)) (|has| |#1| (-174)) (|has| |#1| (-148)) (|has| |#1| (-146))) ((-1119) . T) ((-1236) . 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-1951 (-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")))))))) 26)) (-4391 (((-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| (-1176 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1951 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) 38)) (-3618 (((-656 (-2 (|:| -4300 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| -4391 (-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| (-1176 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1951 (-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"))))))) $) 36)) (-2459 (((-1291)) 11))) -(((-571) (-10 -8 (-15 -3529 ($)) (-15 -2459 ((-1291))) (-15 -3126 ((-656 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) $)) (-15 -3098 ($ (-656 (-2 (|:| -4300 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| -4391 (-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| (-1176 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1951 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))))) (-15 -1870 ($ (-2 (|:| -4300 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| -4391 (-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| (-1176 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1951 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))))))) (-15 -2624 ((-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| (-1176 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1951 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) "failed") (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227))))) (-15 -3618 ((-656 (-2 (|:| -4300 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| -4391 (-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| (-1176 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1951 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) $)) (-15 -4391 ((-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| (-1176 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1951 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227))))))) (T -571)) -((-4391 (*1 *2 *3) (-12 (-5 *3 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (-5 *2 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1176 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1951 (-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 (-571)))) (-3618 (*1 *2 *1) (-12 (-5 *2 (-656 (-2 (|:| -4300 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| -4391 (-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| (-1176 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1951 (-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 (-571)))) (-2624 (*1 *2 *3) (|partial| -12 (-5 *3 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (-5 *2 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1176 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1951 (-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 (-571)))) (-1870 (*1 *1 *2) (-12 (-5 *2 (-2 (|:| -4300 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| -4391 (-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| (-1176 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1951 (-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 (-571)))) (-3098 (*1 *1 *2) (-12 (-5 *2 (-656 (-2 (|:| -4300 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| -4391 (-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| (-1176 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1951 (-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 (-571)))) (-3126 (*1 *2 *1) (-12 (-5 *2 (-656 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227))))) (-5 *1 (-571)))) (-2459 (*1 *2) (-12 (-5 *2 (-1291)) (-5 *1 (-571)))) (-3529 (*1 *1) (-5 *1 (-571)))) -(-10 -8 (-15 -3529 ($)) (-15 -2459 ((-1291))) (-15 -3126 ((-656 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) $)) (-15 -3098 ($ (-656 (-2 (|:| -4300 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| -4391 (-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| (-1176 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1951 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))))) (-15 -1870 ($ (-2 (|:| -4300 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| -4391 (-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| (-1176 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1951 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))))))) (-15 -2624 ((-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| (-1176 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1951 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) "failed") (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227))))) (-15 -3618 ((-656 (-2 (|:| -4300 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| -4391 (-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| (-1176 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1951 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) $)) (-15 -4391 ((-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| (-1176 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -1951 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))))) -((-1768 (((-1191 (-419 (-1191 |#2|))) |#2| (-624 |#2|) (-624 |#2|) (-1191 |#2|)) 35)) (-3903 (((-3 (-2 (|:| |mainpart| |#2|) (|:| |limitedlogs| (-656 (-2 (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (-624 |#2|) (-624 |#2|) (-656 |#2|) (-624 |#2|) |#2| (-419 (-1191 |#2|))) 105) (((-3 (-2 (|:| |mainpart| |#2|) (|:| |limitedlogs| (-656 (-2 (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (-624 |#2|) (-624 |#2|) (-656 |#2|) |#2| (-1191 |#2|)) 115)) (-1412 (((-598 |#2|) |#2| (-624 |#2|) (-624 |#2|) (-624 |#2|) |#2| (-419 (-1191 |#2|))) 85) (((-598 |#2|) |#2| (-624 |#2|) (-624 |#2|) |#2| (-1191 |#2|)) 55)) (-1722 (((-3 (-2 (|:| -1703 |#2|) (|:| |coeff| |#2|)) "failed") |#2| (-624 |#2|) (-624 |#2|) |#2| (-624 |#2|) |#2| (-419 (-1191 |#2|))) 92) (((-3 (-2 (|:| -1703 |#2|) (|:| |coeff| |#2|)) "failed") |#2| (-624 |#2|) (-624 |#2|) |#2| |#2| (-1191 |#2|)) 114)) (-3666 (((-3 |#2| "failed") |#2| |#2| (-624 |#2|) (-624 |#2|) (-1 (-3 |#2| "failed") |#2| |#2| (-1195)) (-624 |#2|) |#2| (-419 (-1191 |#2|))) 110) (((-3 |#2| "failed") |#2| |#2| (-624 |#2|) (-624 |#2|) (-1 (-3 |#2| "failed") |#2| |#2| (-1195)) |#2| (-1191 |#2|)) 116)) (-3334 (((-2 (|:| |particular| (-3 |#2| "failed")) (|:| -4032 (-656 |#2|))) |#3| |#2| (-624 |#2|) (-624 |#2|) (-624 |#2|) |#2| (-419 (-1191 |#2|))) 133 (|has| |#3| (-668 |#2|))) (((-2 (|:| |particular| (-3 |#2| "failed")) (|:| -4032 (-656 |#2|))) |#3| |#2| (-624 |#2|) (-624 |#2|) |#2| (-1191 |#2|)) 132 (|has| |#3| (-668 |#2|)))) (-1927 ((|#2| (-1191 (-419 (-1191 |#2|))) (-624 |#2|) |#2|) 53)) (-2476 (((-1191 (-419 (-1191 |#2|))) (-1191 |#2|) (-624 |#2|)) 34))) -(((-572 |#1| |#2| |#3|) (-10 -7 (-15 -1412 ((-598 |#2|) |#2| (-624 |#2|) (-624 |#2|) |#2| (-1191 |#2|))) (-15 -1412 ((-598 |#2|) |#2| (-624 |#2|) (-624 |#2|) (-624 |#2|) |#2| (-419 (-1191 |#2|)))) (-15 -1722 ((-3 (-2 (|:| -1703 |#2|) (|:| |coeff| |#2|)) "failed") |#2| (-624 |#2|) (-624 |#2|) |#2| |#2| (-1191 |#2|))) (-15 -1722 ((-3 (-2 (|:| -1703 |#2|) (|:| |coeff| |#2|)) "failed") |#2| (-624 |#2|) (-624 |#2|) |#2| (-624 |#2|) |#2| (-419 (-1191 |#2|)))) (-15 -3903 ((-3 (-2 (|:| |mainpart| |#2|) (|:| |limitedlogs| (-656 (-2 (|:| |coeff| |#2|) 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T) ((-937) |has| |#1| (-374)) ((-1011 |#2|) |has| |#1| (-374)) ((-1021) |has| |#1| (-38 (-419 (-576)))) ((-1041) -12 (|has| |#1| (-374)) (|has| |#2| (-1041))) ((-1057 (-419 (-576))) -12 (|has| |#1| (-374)) (|has| |#2| (-1057 (-576)))) ((-1057 (-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-1057 (-576)))) ((-1057 #2#) -12 (|has| |#1| (-374)) (|has| |#2| (-1057 (-1195)))) ((-1057 |#2|) . T) ((-1070 #1#) -2781 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-1070 |#1|) . T) ((-1070 |#2|) |has| |#1| (-374)) ((-1070 $) -2781 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1075 #1#) -2781 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-1075 |#1|) . T) ((-1075 |#2|) |has| |#1| (-374)) ((-1075 $) -2781 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1068) . T) ((-1077) . T) ((-1131) . T) ((-1119) . T) ((-1171) -12 (|has| |#1| (-374)) (|has| |#2| (-1171))) ((-1221) |has| |#1| (-38 (-419 (-576)))) ((-1224) |has| |#1| (-38 (-419 (-576)))) ((-1236) . T) ((-1240) |has| |#1| (-374)) ((-1246 |#1|) . T) ((-1264 |#1| #0#) . 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3259601 3259606 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1315 3258739 3259471 3259548 "ZMOD" 3259553 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1314 3257793 3257957 3258180 "ZLINDEP" 3258571 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1313 3247093 3248861 3250833 "ZDSOLVE" 3255923 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1312 3246339 3246480 3246669 "YSTREAM" 3246939 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1311 3245767 3246013 3246126 "YDIAGRAM" 3246248 T YDIAGRAM (NIL) -8 NIL NIL NIL) (-1310 3243541 3245068 3245272 "XRPOLY" 3245610 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1309 3240094 3241412 3241987 "XPR" 3243013 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1308 3237815 3239425 3239629 "XPOLY" 3239925 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1307 3235454 3236822 3236877 "XPOLYC" 3237165 NIL XPOLYC (NIL T T) -9 NIL 3237278 NIL) (-1306 3231830 3233971 3234359 "XPBWPOLY" 3235112 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1305 3227511 3229806 3229848 "XF" 3230469 NIL XF (NIL T) -9 NIL 3230869 NIL) (-1304 3227132 3227220 3227389 "XF-" 3227394 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1303 3222314 3223603 3223658 "XFALG" 3225830 NIL XFALG (NIL T T) -9 NIL 3226619 NIL) (-1302 3221447 3221551 3221756 "XEXPPKG" 3222206 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1301 3219556 3221297 3221393 "XDPOLY" 3221398 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1300 3218349 3218949 3218992 "XALG" 3218997 NIL XALG (NIL T) -9 NIL 3219108 NIL) (-1299 3211791 3216326 3216820 "WUTSET" 3217941 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1298 3210047 3210843 3211166 "WP" 3211602 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1297 3209649 3209869 3209939 "WHILEAST" 3209999 T WHILEAST (NIL) -8 NIL NIL NIL) (-1296 3209121 3209366 3209460 "WHEREAST" 3209577 T WHEREAST (NIL) -8 NIL NIL NIL) (-1295 3208007 3208205 3208500 "WFFINTBS" 3208918 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1294 3205911 3206338 3206800 "WEIER" 3207579 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1293 3204943 3205393 3205435 "VSPACE" 3205571 NIL VSPACE (NIL T) -9 NIL 3205645 NIL) (-1292 3204781 3204808 3204899 "VSPACE-" 3204904 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1291 3204590 3204632 3204700 "VOID" 3204735 T VOID (NIL) -8 NIL NIL NIL) (-1290 3202726 3203085 3203491 "VIEW" 3204206 T VIEW (NIL) -7 NIL NIL NIL) (-1289 3199150 3199789 3200526 "VIEWDEF" 3202011 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1288 3188454 3190698 3192871 "VIEW3D" 3196999 T VIEW3D (NIL) -8 NIL NIL NIL) (-1287 3180705 3182365 3183944 "VIEW2D" 3186897 T VIEW2D (NIL) -8 NIL NIL NIL) (-1286 3176060 3180475 3180567 "VECTOR" 3180648 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1285 3174637 3174896 3175214 "VECTOR2" 3175790 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1284 3168061 3172368 3172411 "VECTCAT" 3173406 NIL VECTCAT (NIL T) -9 NIL 3173993 NIL) (-1283 3167075 3167329 3167719 "VECTCAT-" 3167724 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1282 3166529 3166726 3166846 "VARIABLE" 3166990 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1281 3166462 3166467 3166497 "UTYPE" 3166502 T UTYPE (NIL) -9 NIL NIL NIL) (-1280 3165292 3165446 3165708 "UTSODETL" 3166288 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1279 3162732 3163192 3163716 "UTSODE" 3164833 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1278 3154680 3160493 3160973 "UTS" 3162310 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1277 3145244 3150614 3150657 "UTSCAT" 3151769 NIL UTSCAT (NIL T) -9 NIL 3152527 NIL) (-1276 3142592 3143314 3144303 "UTSCAT-" 3144308 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1275 3142219 3142262 3142395 "UTS2" 3142543 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1274 3136419 3139029 3139072 "URAGG" 3141142 NIL URAGG (NIL T) -9 NIL 3141865 NIL) (-1273 3133358 3134221 3135344 "URAGG-" 3135349 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1272 3129067 3131993 3132458 "UPXSSING" 3133022 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1271 3121243 3128449 3128713 "UPXS" 3128861 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1270 3114316 3121147 3121219 "UPXSCONS" 3121224 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1269 3103723 3110519 3110581 "UPXSCCA" 3111155 NIL UPXSCCA (NIL T T) -9 NIL 3111388 NIL) (-1268 3103361 3103446 3103620 "UPXSCCA-" 3103625 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1267 3092620 3099189 3099232 "UPXSCAT" 3099880 NIL UPXSCAT (NIL T) -9 NIL 3100489 NIL) (-1266 3092050 3092129 3092308 "UPXS2" 3092535 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1265 3090704 3090957 3091308 "UPSQFREE" 3091793 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1264 3083912 3086972 3087027 "UPSCAT" 3088107 NIL UPSCAT (NIL T T) -9 NIL 3088872 NIL) (-1263 3083116 3083323 3083650 "UPSCAT-" 3083655 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1262 3068198 3076243 3076286 "UPOLYC" 3078387 NIL UPOLYC (NIL T) -9 NIL 3079608 NIL) (-1261 3059526 3061952 3065099 "UPOLYC-" 3065104 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1260 3059153 3059196 3059329 "UPOLYC2" 3059477 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1259 3050688 3058836 3058965 "UP" 3059072 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1258 3050027 3050134 3050298 "UPMP" 3050577 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1257 3049580 3049661 3049800 "UPDIVP" 3049940 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1256 3048148 3048397 3048713 "UPDECOMP" 3049329 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1255 3047379 3047491 3047677 "UPCDEN" 3048032 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1254 3046898 3046967 3047116 "UP2" 3047304 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1253 3045365 3046102 3046379 "UNISEG" 3046656 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1252 3044580 3044707 3044912 "UNISEG2" 3045208 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1251 3043640 3043820 3044046 "UNIFACT" 3044396 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1250 3026392 3042952 3043194 "ULS" 3043456 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1249 3014022 3026296 3026368 "ULSCONS" 3026373 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1248 2994850 3007210 3007272 "ULSCCAT" 3007910 NIL ULSCCAT (NIL T T) -9 NIL 3008199 NIL) (-1247 2993900 2994145 2994533 "ULSCCAT-" 2994538 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1246 2982964 2989447 2989490 "ULSCAT" 2990353 NIL ULSCAT (NIL T) -9 NIL 2991084 NIL) (-1245 2982394 2982473 2982652 "ULS2" 2982879 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1244 2981513 2982023 2982130 "UINT8" 2982241 T UINT8 (NIL) -8 NIL NIL 2982326) (-1243 2980631 2981141 2981248 "UINT64" 2981359 T UINT64 (NIL) -8 NIL NIL 2981444) (-1242 2979749 2980259 2980366 "UINT32" 2980477 T UINT32 (NIL) -8 NIL NIL 2980562) (-1241 2978867 2979377 2979484 "UINT16" 2979595 T UINT16 (NIL) -8 NIL NIL 2979680) (-1240 2977156 2978113 2978143 "UFD" 2978355 T UFD (NIL) -9 NIL 2978469 NIL) (-1239 2976950 2976996 2977091 "UFD-" 2977096 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1238 2976032 2976215 2976431 "UDVO" 2976756 T UDVO (NIL) -7 NIL NIL NIL) (-1237 2973848 2974257 2974728 "UDPO" 2975596 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1236 2973781 2973786 2973816 "TYPE" 2973821 T TYPE (NIL) -9 NIL NIL NIL) (-1235 2973541 2973736 2973767 "TYPEAST" 2973772 T TYPEAST (NIL) -8 NIL NIL NIL) (-1234 2972512 2972714 2972954 "TWOFACT" 2973335 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1233 2971535 2971921 2972156 "TUPLE" 2972312 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1232 2969226 2969745 2970284 "TUBETOOL" 2971018 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1231 2968075 2968280 2968521 "TUBE" 2969019 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1230 2962804 2967047 2967330 "TS" 2967827 NIL TS (NIL T) -8 NIL NIL NIL) (-1229 2951444 2955563 2955660 "TSETCAT" 2960929 NIL TSETCAT (NIL T T T T) -9 NIL 2962460 NIL) (-1228 2946176 2947776 2949667 "TSETCAT-" 2949672 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1227 2940815 2941662 2942591 "TRMANIP" 2945312 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1226 2940256 2940319 2940482 "TRIMAT" 2940747 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1225 2938122 2938359 2938716 "TRIGMNIP" 2940005 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1224 2937642 2937755 2937785 "TRIGCAT" 2937998 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1223 2937311 2937390 2937531 "TRIGCAT-" 2937536 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1222 2934158 2936169 2936450 "TREE" 2937065 NIL TREE (NIL T) -8 NIL NIL NIL) (-1221 2933432 2933960 2933990 "TRANFUN" 2934025 T TRANFUN (NIL) -9 NIL 2934091 NIL) (-1220 2932711 2932902 2933182 "TRANFUN-" 2933187 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1219 2932515 2932547 2932608 "TOPSP" 2932672 T TOPSP (NIL) -7 NIL NIL NIL) (-1218 2931863 2931978 2932132 "TOOLSIGN" 2932396 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1217 2930497 2931040 2931279 "TEXTFILE" 2931646 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1216 2928409 2928950 2929379 "TEX" 2930090 T TEX (NIL) -8 NIL NIL NIL) (-1215 2928190 2928221 2928293 "TEX1" 2928372 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1214 2927838 2927901 2927991 "TEMUTL" 2928122 T TEMUTL (NIL) -7 NIL NIL NIL) (-1213 2925992 2926272 2926597 "TBCMPPK" 2927561 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1212 2917699 2924078 2924134 "TBAGG" 2924534 NIL TBAGG (NIL T T) -9 NIL 2924745 NIL) (-1211 2912769 2914257 2916011 "TBAGG-" 2916016 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1210 2912153 2912260 2912405 "TANEXP" 2912658 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1209 2911664 2911928 2912018 "TALGOP" 2912098 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1208 2905058 2911521 2911614 "TABLE" 2911619 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1207 2904470 2904569 2904707 "TABLEAU" 2904955 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1206 2899078 2900298 2901546 "TABLBUMP" 2903256 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1205 2898300 2898447 2898628 "SYSTEM" 2898919 T SYSTEM (NIL) -8 NIL NIL NIL) (-1204 2894759 2895458 2896241 "SYSSOLP" 2897551 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1203 2894557 2894714 2894745 "SYSPTR" 2894750 T SYSPTR (NIL) -8 NIL NIL NIL) (-1202 2893593 2894098 2894217 "SYSNNI" 2894403 NIL SYSNNI (NIL NIL) -8 NIL NIL 2894488) (-1201 2892892 2893351 2893430 "SYSINT" 2893490 NIL SYSINT (NIL NIL) -8 NIL NIL 2893535) (-1200 2889224 2890170 2890880 "SYNTAX" 2892204 T SYNTAX (NIL) -8 NIL NIL NIL) (-1199 2886382 2886984 2887616 "SYMTAB" 2888614 T SYMTAB (NIL) -8 NIL NIL NIL) (-1198 2881631 2882533 2883516 "SYMS" 2885421 T SYMS (NIL) -8 NIL NIL NIL) (-1197 2878866 2881089 2881319 "SYMPOLY" 2881436 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1196 2878383 2878458 2878581 "SYMFUNC" 2878778 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1195 2874403 2875695 2876508 "SYMBOL" 2877592 T SYMBOL (NIL) -8 NIL NIL NIL) (-1194 2867942 2869631 2871351 "SWITCH" 2872705 T SWITCH (NIL) -8 NIL NIL NIL) (-1193 2861286 2866898 2867192 "SUTS" 2867706 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1192 2853462 2860668 2860932 "SUPXS" 2861080 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1191 2844945 2853080 2853206 "SUP" 2853371 NIL SUP (NIL T) -8 NIL NIL NIL) (-1190 2844104 2844231 2844448 "SUPFRACF" 2844813 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1189 2843725 2843784 2843897 "SUP2" 2844039 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1188 2842173 2842447 2842803 "SUMRF" 2843424 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1187 2841508 2841574 2841766 "SUMFS" 2842094 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1186 2824295 2840820 2841062 "SULS" 2841324 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1185 2823897 2824117 2824187 "SUCHTAST" 2824247 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1184 2823192 2823422 2823562 "SUCH" 2823805 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1183 2817059 2818098 2819057 "SUBSPACE" 2822280 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1182 2816489 2816579 2816743 "SUBRESP" 2816947 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1181 2809857 2811154 2812465 "STTF" 2815225 NIL STTF (NIL T) -7 NIL NIL NIL) (-1180 2804030 2805150 2806297 "STTFNC" 2808757 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1179 2795343 2797212 2799006 "STTAYLOR" 2802271 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1178 2788477 2795207 2795290 "STRTBL" 2795295 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1177 2783437 2788186 2788285 "STRING" 2788400 T STRING (NIL) -8 NIL NIL NIL) (-1176 2776192 2781056 2781667 "STREAM" 2782861 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1175 2775702 2775779 2775923 "STREAM3" 2776109 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1174 2774684 2774867 2775102 "STREAM2" 2775515 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1173 2774372 2774424 2774517 "STREAM1" 2774626 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1172 2773388 2773569 2773800 "STINPROD" 2774188 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1171 2772926 2773136 2773166 "STEP" 2773246 T STEP (NIL) -9 NIL 2773324 NIL) (-1170 2772113 2772415 2772563 "STEPAST" 2772800 T STEPAST (NIL) -8 NIL NIL NIL) (-1169 2765549 2772012 2772089 "STBL" 2772094 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1168 2760618 2764712 2764755 "STAGG" 2764908 NIL STAGG (NIL T) -9 NIL 2764997 NIL) (-1167 2758320 2758922 2759794 "STAGG-" 2759799 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1166 2756469 2758090 2758182 "STACK" 2758263 NIL STACK (NIL T) -8 NIL NIL NIL) (-1165 2749164 2754610 2755066 "SREGSET" 2756099 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1164 2741589 2742958 2744471 "SRDCMPK" 2747770 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1163 2734454 2738977 2739007 "SRAGG" 2740310 T SRAGG (NIL) -9 NIL 2740918 NIL) (-1162 2733471 2733726 2734105 "SRAGG-" 2734110 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1161 2727655 2732418 2732839 "SQMATRIX" 2733097 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1160 2721342 2724373 2725100 "SPLTREE" 2727000 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1159 2717305 2717998 2718644 "SPLNODE" 2720768 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1158 2716352 2716585 2716615 "SPFCAT" 2717059 T SPFCAT (NIL) -9 NIL NIL NIL) (-1157 2715089 2715299 2715563 "SPECOUT" 2716110 T SPECOUT (NIL) -7 NIL NIL NIL) (-1156 2706185 2708057 2708087 "SPADXPT" 2712763 T SPADXPT (NIL) -9 NIL 2714927 NIL) (-1155 2705946 2705986 2706055 "SPADPRSR" 2706138 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1154 2703995 2705901 2705932 "SPADAST" 2705937 T SPADAST (NIL) -8 NIL NIL NIL) (-1153 2695926 2697699 2697742 "SPACEC" 2702115 NIL SPACEC (NIL T) -9 NIL 2703931 NIL) (-1152 2694056 2695858 2695907 "SPACE3" 2695912 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1151 2692808 2692979 2693270 "SORTPAK" 2693861 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1150 2690900 2691203 2691615 "SOLVETRA" 2692472 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1149 2689950 2690172 2690433 "SOLVESER" 2690673 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1148 2685254 2686142 2687137 "SOLVERAD" 2689002 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1147 2681069 2681678 2682407 "SOLVEFOR" 2684621 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1146 2675339 2680418 2680515 "SNTSCAT" 2680520 NIL SNTSCAT (NIL T T T T) -9 NIL 2680590 NIL) (-1145 2669445 2673662 2674053 "SMTS" 2675029 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1144 2663854 2669333 2669410 "SMP" 2669415 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1143 2662013 2662314 2662712 "SMITH" 2663551 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1142 2654117 2658592 2658695 "SMATCAT" 2660046 NIL SMATCAT (NIL NIL T T T) -9 NIL 2660596 NIL) (-1141 2651057 2651880 2653058 "SMATCAT-" 2653063 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1140 2648697 2650265 2650308 "SKAGG" 2650569 NIL SKAGG (NIL T) -9 NIL 2650704 NIL) (-1139 2644887 2648170 2648354 "SINT" 2648506 T SINT (NIL) -8 NIL NIL 2648668) (-1138 2644659 2644697 2644763 "SIMPAN" 2644843 T SIMPAN (NIL) -7 NIL NIL NIL) (-1137 2643938 2644194 2644334 "SIG" 2644541 T SIG (NIL) -8 NIL NIL NIL) (-1136 2642776 2642997 2643272 "SIGNRF" 2643697 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1135 2641609 2641760 2642044 "SIGNEF" 2642605 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1134 2640915 2641192 2641316 "SIGAST" 2641507 T SIGAST (NIL) -8 NIL NIL NIL) (-1133 2638605 2639059 2639565 "SHP" 2640456 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1132 2632433 2638506 2638582 "SHDP" 2638587 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1131 2631992 2632184 2632214 "SGROUP" 2632307 T SGROUP (NIL) -9 NIL 2632369 NIL) (-1130 2631850 2631876 2631949 "SGROUP-" 2631954 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1129 2628641 2629339 2630062 "SGCF" 2631149 T SGCF (NIL) -7 NIL NIL NIL) (-1128 2623009 2628088 2628185 "SFRTCAT" 2628190 NIL SFRTCAT (NIL T T T T) -9 NIL 2628229 NIL) (-1127 2616430 2617448 2618584 "SFRGCD" 2621992 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1126 2609556 2610629 2611815 "SFQCMPK" 2615363 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1125 2609176 2609265 2609376 "SFORT" 2609497 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1124 2608294 2609016 2609137 "SEXOF" 2609142 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1123 2607401 2608175 2608243 "SEX" 2608248 T SEX (NIL) -8 NIL NIL NIL) (-1122 2603182 2603897 2603992 "SEXCAT" 2606614 NIL SEXCAT (NIL T T T T T) -9 NIL 2607174 NIL) (-1121 2600335 2603116 2603164 "SET" 2603169 NIL SET (NIL T) -8 NIL NIL NIL) (-1120 2598559 2599048 2599353 "SETMN" 2600076 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1119 2598041 2598193 2598223 "SETCAT" 2598399 T SETCAT (NIL) -9 NIL 2598509 NIL) (-1118 2597733 2597811 2597941 "SETCAT-" 2597946 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1117 2594094 2596194 2596237 "SETAGG" 2597107 NIL SETAGG (NIL T) -9 NIL 2597447 NIL) (-1116 2593552 2593668 2593905 "SETAGG-" 2593910 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1115 2592995 2593248 2593349 "SEQAST" 2593473 T SEQAST (NIL) -8 NIL NIL NIL) (-1114 2592194 2592488 2592549 "SEGXCAT" 2592835 NIL SEGXCAT (NIL T T) -9 NIL 2592955 NIL) (-1113 2591200 2591860 2592042 "SEG" 2592047 NIL SEG (NIL T) -8 NIL NIL NIL) (-1112 2590179 2590393 2590436 "SEGCAT" 2590958 NIL SEGCAT (NIL T) -9 NIL 2591179 NIL) (-1111 2589111 2589542 2589750 "SEGBIND" 2590006 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1110 2588732 2588791 2588904 "SEGBIND2" 2589046 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1109 2588305 2588533 2588610 "SEGAST" 2588677 T SEGAST (NIL) -8 NIL NIL NIL) (-1108 2587524 2587650 2587854 "SEG2" 2588149 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1107 2586895 2587459 2587506 "SDVAR" 2587511 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1106 2579146 2586665 2586795 "SDPOL" 2586800 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1105 2577739 2578005 2578324 "SCPKG" 2578861 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1104 2576903 2577075 2577267 "SCOPE" 2577569 T SCOPE (NIL) -8 NIL NIL NIL) (-1103 2576123 2576257 2576436 "SCACHE" 2576758 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1102 2575755 2575941 2575971 "SASTCAT" 2575976 T SASTCAT (NIL) -9 NIL 2575989 NIL) (-1101 2575242 2575590 2575666 "SAOS" 2575701 T SAOS (NIL) -8 NIL NIL NIL) (-1100 2574807 2574842 2575015 "SAERFFC" 2575201 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1099 2568470 2574704 2574784 "SAE" 2574789 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1098 2568063 2568098 2568257 "SAEFACT" 2568429 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1097 2566384 2566698 2567099 "RURPK" 2567729 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1096 2565021 2565327 2565632 "RULESET" 2566218 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1095 2562244 2562774 2563232 "RULE" 2564702 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1094 2561856 2562038 2562121 "RULECOLD" 2562196 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1093 2561646 2561674 2561745 "RTVALUE" 2561807 T RTVALUE (NIL) -8 NIL NIL NIL) (-1092 2561117 2561363 2561457 "RSTRCAST" 2561574 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1091 2555965 2556760 2557680 "RSETGCD" 2560316 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1090 2545195 2550274 2550371 "RSETCAT" 2554490 NIL RSETCAT (NIL T T T T) -9 NIL 2555587 NIL) (-1089 2543122 2543661 2544485 "RSETCAT-" 2544490 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1088 2535508 2536884 2538404 "RSDCMPK" 2541721 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1087 2533473 2533940 2534014 "RRCC" 2535100 NIL RRCC (NIL T T) -9 NIL 2535444 NIL) (-1086 2532824 2532998 2533277 "RRCC-" 2533282 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1085 2532267 2532520 2532621 "RPTAST" 2532745 T RPTAST (NIL) -8 NIL NIL NIL) (-1084 2505743 2515379 2515446 "RPOLCAT" 2526112 NIL RPOLCAT (NIL T T T) -9 NIL 2529272 NIL) (-1083 2497241 2499581 2502703 "RPOLCAT-" 2502708 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1082 2488176 2495452 2495934 "ROUTINE" 2496781 T ROUTINE (NIL) -8 NIL NIL NIL) (-1081 2484837 2487802 2487942 "ROMAN" 2488058 T ROMAN (NIL) -8 NIL NIL NIL) (-1080 2483081 2483697 2483957 "ROIRC" 2484642 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1079 2479299 2481583 2481613 "RNS" 2481917 T RNS (NIL) -9 NIL 2482191 NIL) (-1078 2477808 2478191 2478725 "RNS-" 2478800 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1077 2477197 2477605 2477635 "RNG" 2477640 T RNG (NIL) -9 NIL 2477661 NIL) (-1076 2476200 2476562 2476764 "RNGBIND" 2477048 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1075 2475585 2475973 2476016 "RMODULE" 2476021 NIL RMODULE (NIL T) -9 NIL 2476048 NIL) (-1074 2474421 2474515 2474851 "RMCAT2" 2475486 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1073 2471271 2473767 2474064 "RMATRIX" 2474183 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1072 2464098 2466358 2466473 "RMATCAT" 2469832 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2470814 NIL) (-1071 2463473 2463620 2463927 "RMATCAT-" 2463932 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1070 2463088 2463260 2463303 "RLINSET" 2463365 NIL RLINSET (NIL T) -9 NIL 2463409 NIL) (-1069 2462655 2462730 2462858 "RINTERP" 2463007 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1068 2461699 2462253 2462283 "RING" 2462339 T RING (NIL) -9 NIL 2462431 NIL) (-1067 2461491 2461535 2461632 "RING-" 2461637 NIL RING- (NIL T) -8 NIL NIL NIL) (-1066 2460332 2460569 2460827 "RIDIST" 2461255 T RIDIST (NIL) -7 NIL NIL NIL) (-1065 2451621 2459800 2460006 "RGCHAIN" 2460180 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1064 2450957 2451363 2451404 "RGBCSPC" 2451462 NIL RGBCSPC (NIL T) -9 NIL 2451514 NIL) (-1063 2450101 2450482 2450523 "RGBCMDL" 2450755 NIL RGBCMDL (NIL T) -9 NIL 2450869 NIL) (-1062 2447095 2447709 2448379 "RF" 2449465 NIL RF (NIL T) -7 NIL NIL NIL) (-1061 2446741 2446804 2446907 "RFFACTOR" 2447026 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1060 2446466 2446501 2446598 "RFFACT" 2446700 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1059 2444583 2444947 2445329 "RFDIST" 2446106 T RFDIST (NIL) -7 NIL NIL NIL) (-1058 2444036 2444128 2444291 "RETSOL" 2444485 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1057 2443672 2443752 2443795 "RETRACT" 2443928 NIL RETRACT (NIL T) -9 NIL 2444015 NIL) (-1056 2443521 2443546 2443633 "RETRACT-" 2443638 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1055 2443123 2443343 2443413 "RETAST" 2443473 T RETAST (NIL) -8 NIL NIL NIL) (-1054 2435865 2442776 2442903 "RESULT" 2443018 T RESULT (NIL) -8 NIL NIL NIL) (-1053 2434456 2435134 2435333 "RESRING" 2435768 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1052 2434092 2434141 2434239 "RESLATC" 2434393 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1051 2433797 2433832 2433939 "REPSQ" 2434051 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1050 2431219 2431799 2432401 "REP" 2433217 T REP (NIL) -7 NIL NIL NIL) (-1049 2430916 2430951 2431062 "REPDB" 2431178 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1048 2424816 2426205 2427428 "REP2" 2429728 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1047 2421193 2421874 2422682 "REP1" 2424043 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1046 2413889 2419334 2419790 "REGSET" 2420823 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1045 2412654 2413037 2413287 "REF" 2413674 NIL REF (NIL T) -8 NIL NIL NIL) (-1044 2412031 2412134 2412301 "REDORDER" 2412538 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1043 2407999 2411244 2411471 "RECLOS" 2411859 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1042 2407051 2407232 2407447 "REALSOLV" 2407806 T REALSOLV (NIL) -7 NIL NIL NIL) (-1041 2406897 2406938 2406968 "REAL" 2406973 T REAL (NIL) -9 NIL 2407008 NIL) (-1040 2403380 2404182 2405066 "REAL0Q" 2406062 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1039 2398981 2399969 2401030 "REAL0" 2402361 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1038 2398452 2398698 2398792 "RDUCEAST" 2398909 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1037 2397857 2397929 2398136 "RDIV" 2398374 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1036 2396925 2397099 2397312 "RDIST" 2397679 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1035 2395522 2395809 2396181 "RDETRS" 2396633 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1034 2393334 2393788 2394326 "RDETR" 2395064 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1033 2391959 2392237 2392634 "RDEEFS" 2393050 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1032 2390468 2390774 2391199 "RDEEF" 2391647 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1031 2384515 2387435 2387465 "RCFIELD" 2388760 T RCFIELD (NIL) -9 NIL 2389491 NIL) (-1030 2382579 2383083 2383779 "RCFIELD-" 2383854 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1029 2378822 2380652 2380695 "RCAGG" 2381779 NIL RCAGG (NIL T) -9 NIL 2382244 NIL) (-1028 2378450 2378544 2378707 "RCAGG-" 2378712 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1027 2377785 2377897 2378062 "RATRET" 2378334 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1026 2377338 2377405 2377526 "RATFACT" 2377713 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1025 2376646 2376766 2376918 "RANDSRC" 2377208 T RANDSRC (NIL) -7 NIL NIL NIL) (-1024 2376380 2376424 2376497 "RADUTIL" 2376595 T RADUTIL (NIL) -7 NIL NIL NIL) (-1023 2369208 2375211 2375522 "RADIX" 2376103 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1022 2359668 2369050 2369180 "RADFF" 2369185 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-1021 2359315 2359390 2359420 "RADCAT" 2359580 T RADCAT (NIL) -9 NIL NIL NIL) (-1020 2359097 2359145 2359245 "RADCAT-" 2359250 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-1019 2357197 2358867 2358959 "QUEUE" 2359040 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-1018 2353458 2357130 2357178 "QUAT" 2357183 NIL QUAT (NIL T) -8 NIL NIL NIL) (-1017 2353089 2353132 2353263 "QUATCT2" 2353409 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-1016 2345915 2349539 2349581 "QUATCAT" 2350372 NIL QUATCAT (NIL T) -9 NIL 2351138 NIL) (-1015 2342054 2343091 2344481 "QUATCAT-" 2344577 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-1014 2339493 2341102 2341145 "QUAGG" 2341526 NIL QUAGG (NIL T) -9 NIL 2341701 NIL) (-1013 2339095 2339315 2339385 "QQUTAST" 2339445 T QQUTAST (NIL) -8 NIL NIL NIL) (-1012 2338108 2338608 2338773 "QFORM" 2338976 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-1011 2328495 2334010 2334052 "QFCAT" 2334720 NIL QFCAT (NIL T) -9 NIL 2335721 NIL) (-1010 2324062 2325263 2326857 "QFCAT-" 2326953 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-1009 2323693 2323736 2323867 "QFCAT2" 2324013 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-1008 2323148 2323258 2323390 "QEQUAT" 2323583 T QEQUAT (NIL) -8 NIL NIL NIL) (-1007 2316274 2317347 2318533 "QCMPACK" 2322081 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-1006 2313812 2314260 2314690 "QALGSET" 2315929 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-1005 2313047 2313223 2313459 "QALGSET2" 2313630 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-1004 2311732 2311956 2312275 "PWFFINTB" 2312820 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-1003 2309907 2310075 2310431 "PUSHVAR" 2311546 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-1002 2305796 2306850 2306893 "PTRANFN" 2308804 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-1001 2304187 2304478 2304802 "PTPACK" 2305507 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-1000 2303816 2303873 2303984 "PTFUNC2" 2304124 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-999 2298243 2302638 2302679 "PTCAT" 2302975 NIL PTCAT (NIL T) -9 NIL 2303128 NIL) (-998 2297901 2297936 2298060 "PSQFR" 2298202 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-997 2296496 2296794 2297128 "PSEUDLIN" 2297599 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-996 2283259 2285630 2287954 "PSETPK" 2294256 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-995 2276277 2279017 2279113 "PSETCAT" 2282134 NIL PSETCAT (NIL T T T T) -9 NIL 2282948 NIL) (-994 2274113 2274747 2275568 "PSETCAT-" 2275573 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-993 2273462 2273627 2273655 "PSCURVE" 2273923 T PSCURVE (NIL) -9 NIL 2274090 NIL) (-992 2269446 2270962 2271027 "PSCAT" 2271871 NIL PSCAT (NIL T T T) -9 NIL 2272111 NIL) (-991 2268509 2268725 2269125 "PSCAT-" 2269130 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-990 2266868 2267578 2267841 "PRTITION" 2268266 T PRTITION (NIL) -8 NIL NIL NIL) (-989 2266343 2266589 2266681 "PRTDAST" 2266796 T PRTDAST (NIL) -8 NIL NIL NIL) (-988 2255433 2257647 2259835 "PRS" 2264205 NIL PRS (NIL T T) -7 NIL NIL NIL) (-987 2253218 2254755 2254795 "PRQAGG" 2254978 NIL PRQAGG (NIL T) -9 NIL 2255080 NIL) (-986 2252554 2252859 2252887 "PROPLOG" 2253026 T PROPLOG (NIL) -9 NIL 2253141 NIL) (-985 2252158 2252215 2252338 "PROPFUN2" 2252477 NIL PROPFUN2 (NIL T T) -8 NIL NIL NIL) (-984 2251473 2251594 2251766 "PROPFUN1" 2252019 NIL PROPFUN1 (NIL T) -8 NIL NIL NIL) (-983 2249654 2250220 2250517 "PROPFRML" 2251209 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-982 2249123 2249230 2249358 "PROPERTY" 2249546 T PROPERTY (NIL) -8 NIL NIL NIL) (-981 2243181 2247289 2248109 "PRODUCT" 2248349 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-980 2240459 2242639 2242873 "PR" 2242992 NIL PR (NIL T T) -8 NIL NIL NIL) (-979 2240255 2240287 2240346 "PRINT" 2240420 T PRINT (NIL) -7 NIL NIL NIL) (-978 2239595 2239712 2239864 "PRIMES" 2240135 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-977 2237660 2238061 2238527 "PRIMELT" 2239174 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-976 2237389 2237438 2237466 "PRIMCAT" 2237590 T PRIMCAT (NIL) -9 NIL NIL NIL) (-975 2233506 2237327 2237372 "PRIMARR" 2237377 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-974 2232513 2232691 2232919 "PRIMARR2" 2233324 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-973 2232156 2232212 2232323 "PREASSOC" 2232451 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-972 2231631 2231764 2231792 "PPCURVE" 2231997 T PPCURVE (NIL) -9 NIL 2232133 NIL) (-971 2231226 2231426 2231509 "PORTNUM" 2231568 T PORTNUM (NIL) -8 NIL NIL NIL) (-970 2228585 2228984 2229576 "POLYROOT" 2230807 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-969 2222491 2228189 2228349 "POLY" 2228458 NIL POLY (NIL T) -8 NIL NIL NIL) (-968 2221874 2221932 2222166 "POLYLIFT" 2222427 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-967 2218149 2218598 2219227 "POLYCATQ" 2221419 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-966 2204491 2209896 2209961 "POLYCAT" 2213475 NIL POLYCAT (NIL T T T) -9 NIL 2215353 NIL) (-965 2197940 2199802 2202186 "POLYCAT-" 2202191 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-964 2197527 2197595 2197715 "POLY2UP" 2197866 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-963 2197159 2197216 2197325 "POLY2" 2197464 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-962 2195844 2196083 2196359 "POLUTIL" 2196933 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-961 2194199 2194476 2194807 "POLTOPOL" 2195566 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-960 2189666 2194135 2194181 "POINT" 2194186 NIL POINT (NIL T) -8 NIL NIL NIL) (-959 2187853 2188210 2188585 "PNTHEORY" 2189311 T PNTHEORY (NIL) -7 NIL NIL NIL) (-958 2186311 2186608 2187007 "PMTOOLS" 2187551 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-957 2185904 2185982 2186099 "PMSYM" 2186227 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-956 2185412 2185481 2185656 "PMQFCAT" 2185829 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-955 2184767 2184877 2185033 "PMPRED" 2185289 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-954 2184160 2184246 2184408 "PMPREDFS" 2184668 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-953 2182824 2183032 2183410 "PMPLCAT" 2183922 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-952 2182356 2182435 2182587 "PMLSAGG" 2182739 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-951 2181829 2181905 2182087 "PMKERNEL" 2182274 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-950 2181446 2181521 2181634 "PMINS" 2181748 NIL PMINS (NIL T) -7 NIL NIL NIL) (-949 2180888 2180957 2181166 "PMFS" 2181371 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-948 2180116 2180234 2180439 "PMDOWN" 2180765 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-947 2179283 2179441 2179622 "PMASS" 2179955 T PMASS (NIL) -7 NIL NIL NIL) (-946 2178556 2178666 2178829 "PMASSFS" 2179170 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-945 2178211 2178279 2178373 "PLOTTOOL" 2178482 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-944 2172818 2174022 2175170 "PLOT" 2177083 T PLOT (NIL) -8 NIL NIL NIL) (-943 2168622 2169666 2170587 "PLOT3D" 2171917 T PLOT3D (NIL) -8 NIL NIL NIL) (-942 2167534 2167711 2167946 "PLOT1" 2168426 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-941 2142925 2147600 2152451 "PLEQN" 2162800 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-940 2142243 2142365 2142545 "PINTERP" 2142790 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-939 2141936 2141983 2142086 "PINTERPA" 2142190 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-938 2141152 2141700 2141787 "PI" 2141827 T PI (NIL) -8 NIL NIL 2141894) (-937 2139435 2140410 2140438 "PID" 2140620 T PID (NIL) -9 NIL 2140754 NIL) (-936 2139186 2139223 2139298 "PICOERCE" 2139392 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-935 2138506 2138645 2138821 "PGROEB" 2139042 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-934 2134093 2134907 2135812 "PGE" 2137621 T PGE (NIL) -7 NIL NIL NIL) (-933 2132216 2132463 2132829 "PGCD" 2133810 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-932 2131554 2131657 2131818 "PFRPAC" 2132100 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-931 2128194 2130102 2130455 "PFR" 2131233 NIL PFR (NIL T) -8 NIL NIL NIL) (-930 2126583 2126827 2127152 "PFOTOOLS" 2127941 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-929 2125116 2125355 2125706 "PFOQ" 2126340 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-928 2123617 2123829 2124185 "PFO" 2124900 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-927 2120170 2123506 2123575 "PF" 2123580 NIL PF (NIL NIL) -8 NIL NIL NIL) (-926 2117490 2118761 2118789 "PFECAT" 2119374 T PFECAT (NIL) -9 NIL 2119758 NIL) (-925 2116935 2117089 2117303 "PFECAT-" 2117308 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-924 2115538 2115790 2116091 "PFBRU" 2116684 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-923 2113404 2113756 2114188 "PFBR" 2115189 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-922 2109450 2110916 2111563 "PERM" 2112790 NIL PERM (NIL T) -8 NIL NIL NIL) (-921 2104684 2105657 2106527 "PERMGRP" 2108613 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-920 2102803 2103763 2103804 "PERMCAT" 2104204 NIL PERMCAT (NIL T) -9 NIL 2104502 NIL) (-919 2102456 2102497 2102621 "PERMAN" 2102756 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-918 2099946 2102121 2102243 "PENDTREE" 2102367 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-917 2098875 2099090 2099131 "PDSPC" 2099664 NIL PDSPC (NIL T) -9 NIL 2099909 NIL) (-916 2097978 2098196 2098558 "PDSPC-" 2098563 NIL PDSPC- (NIL T T) -8 NIL NIL NIL) (-915 2096860 2097628 2097669 "PDRING" 2097674 NIL PDRING (NIL T) -9 NIL 2097702 NIL) (-914 2095747 2096365 2096419 "PDMOD" 2096424 NIL PDMOD (NIL T T) -9 NIL 2096528 NIL) (-913 2092962 2093740 2094408 "PDEPROB" 2095099 T PDEPROB (NIL) -8 NIL NIL NIL) (-912 2090507 2091011 2091566 "PDEPACK" 2092427 T PDEPACK (NIL) -7 NIL NIL NIL) (-911 2089419 2089609 2089860 "PDECOMP" 2090306 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-910 2086984 2087827 2087855 "PDECAT" 2088642 T PDECAT (NIL) -9 NIL 2089355 NIL) (-909 2086613 2086668 2086722 "PDDOM" 2086887 NIL PDDOM (NIL T T) -9 NIL 2086967 NIL) (-908 2086432 2086462 2086569 "PDDOM-" 2086574 NIL PDDOM- (NIL T T T) -8 NIL NIL NIL) (-907 2086183 2086216 2086306 "PCOMP" 2086393 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-906 2084361 2084984 2085281 "PBWLB" 2085912 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-905 2076834 2078434 2079772 "PATTERN" 2083044 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-904 2076466 2076523 2076632 "PATTERN2" 2076771 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-903 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PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-879 2038160 2038293 2038499 "PADE" 2038810 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-878 2036547 2037368 2037648 "OWP" 2037964 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-877 2036040 2036253 2036350 "OVERSET" 2036470 T OVERSET (NIL) -8 NIL NIL NIL) (-876 2035086 2035645 2035817 "OVAR" 2035908 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-875 2034350 2034471 2034632 "OUT" 2034945 T OUT (NIL) -7 NIL NIL NIL) (-874 2023222 2025459 2027659 "OUTFORM" 2032170 T OUTFORM (NIL) -8 NIL NIL NIL) (-873 2022558 2022819 2022946 "OUTBFILE" 2023115 T OUTBFILE (NIL) -8 NIL NIL NIL) (-872 2021865 2022030 2022058 "OUTBCON" 2022376 T OUTBCON (NIL) -9 NIL 2022542 NIL) (-871 2021466 2021578 2021735 "OUTBCON-" 2021740 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-870 2020846 2021195 2021284 "OSI" 2021397 T OSI (NIL) -8 NIL NIL NIL) (-869 2020362 2020700 2020728 "OSGROUP" 2020733 T OSGROUP (NIL) -9 NIL 2020755 NIL) (-868 2019107 2019334 2019619 "ORTHPOL" 2020109 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-867 2016658 2018942 2019063 "OREUP" 2019068 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-866 2014061 2016349 2016476 "ORESUP" 2016600 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-865 2011589 2012089 2012650 "OREPCTO" 2013550 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-864 2005261 2007462 2007503 "OREPCAT" 2009851 NIL OREPCAT (NIL T) -9 NIL 2010955 NIL) (-863 2002408 2003190 2004248 "OREPCAT-" 2004253 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-862 2001545 2001843 2001871 "ORDSET" 2002180 T ORDSET (NIL) -9 NIL 2002344 NIL) (-861 2000976 2001124 2001348 "ORDSET-" 2001353 NIL ORDSET- (NIL T) -8 NIL NIL NIL) (-860 1999527 2000318 2000346 "ORDRING" 2000548 T ORDRING (NIL) -9 NIL 2000673 NIL) (-859 1999172 1999266 1999410 "ORDRING-" 1999415 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-858 1998538 1999001 1999029 "ORDMON" 1999034 T ORDMON (NIL) -9 NIL 1999055 NIL) (-857 1997700 1997847 1998042 "ORDFUNS" 1998387 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-856 1997024 1997443 1997471 "ORDFIN" 1997536 T ORDFIN (NIL) -9 NIL 1997610 NIL) (-855 1993583 1995610 1996019 "ORDCOMP" 1996648 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-854 1992849 1992976 1993162 "ORDCOMP2" 1993443 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-853 1989430 1990340 1991154 "OPTPROB" 1992055 T OPTPROB (NIL) -8 NIL NIL NIL) (-852 1986232 1986871 1987575 "OPTPACK" 1988746 T OPTPACK (NIL) -7 NIL NIL NIL) (-851 1983905 1984671 1984699 "OPTCAT" 1985518 T OPTCAT (NIL) -9 NIL 1986168 NIL) (-850 1983289 1983582 1983687 "OPSIG" 1983820 T OPSIG (NIL) -8 NIL NIL NIL) (-849 1983057 1983096 1983162 "OPQUERY" 1983243 T OPQUERY (NIL) -7 NIL NIL NIL) (-848 1980188 1981368 1981872 "OP" 1982586 NIL OP (NIL T) -8 NIL NIL NIL) (-847 1979548 1979774 1979815 "OPERCAT" 1980027 NIL OPERCAT (NIL T) -9 NIL 1980124 NIL) (-846 1979303 1979359 1979476 "OPERCAT-" 1979481 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-845 1976116 1978100 1978469 "ONECOMP" 1978967 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-844 1975421 1975536 1975710 "ONECOMP2" 1975988 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-843 1974840 1974946 1975076 "OMSERVER" 1975311 T OMSERVER (NIL) -7 NIL NIL NIL) (-842 1971702 1974280 1974320 "OMSAGG" 1974381 NIL OMSAGG (NIL T) -9 NIL 1974445 NIL) (-841 1970325 1970588 1970870 "OMPKG" 1971440 T OMPKG (NIL) -7 NIL NIL NIL) (-840 1969755 1969858 1969886 "OM" 1970185 T OM (NIL) -9 NIL NIL NIL) (-839 1968302 1969304 1969473 "OMLO" 1969636 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-838 1967262 1967409 1967629 "OMEXPR" 1968128 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-837 1966553 1966808 1966944 "OMERR" 1967146 T OMERR (NIL) -8 NIL NIL NIL) (-836 1965704 1965974 1966134 "OMERRK" 1966413 T OMERRK (NIL) -8 NIL NIL NIL) (-835 1965155 1965381 1965489 "OMENC" 1965616 T OMENC (NIL) -8 NIL NIL NIL) (-834 1959050 1960235 1961406 "OMDEV" 1964004 T OMDEV (NIL) -8 NIL NIL NIL) (-833 1958119 1958290 1958484 "OMCONN" 1958876 T OMCONN (NIL) -8 NIL NIL NIL) (-832 1956626 1957602 1957630 "OINTDOM" 1957635 T OINTDOM (NIL) -9 NIL 1957656 NIL) (-831 1953964 1955314 1955651 "OFMONOID" 1956321 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-830 1953336 1953901 1953946 "ODVAR" 1953951 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-829 1950759 1953081 1953236 "ODR" 1953241 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-828 1943064 1950535 1950661 "ODPOL" 1950666 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-827 1936862 1942936 1943041 "ODP" 1943046 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-826 1935628 1935843 1936118 "ODETOOLS" 1936636 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-825 1932595 1933253 1933969 "ODESYS" 1934961 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-824 1927477 1928385 1929410 "ODERTRIC" 1931670 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-823 1926903 1926985 1927179 "ODERED" 1927389 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-822 1923791 1924339 1925016 "ODERAT" 1926326 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-821 1920750 1921215 1921812 "ODEPRRIC" 1923320 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-820 1918693 1919289 1919775 "ODEPROB" 1920284 T ODEPROB (NIL) -8 NIL NIL NIL) (-819 1915213 1915698 1916345 "ODEPRIM" 1918172 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-818 1914462 1914564 1914824 "ODEPAL" 1915105 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-817 1910624 1911415 1912279 "ODEPACK" 1913618 T ODEPACK (NIL) -7 NIL NIL NIL) (-816 1909685 1909792 1910014 "ODEINT" 1910513 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-815 1903786 1905211 1906658 "ODEIFTBL" 1908258 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-814 1899184 1899970 1900922 "ODEEF" 1902945 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-813 1898533 1898622 1898845 "ODECONST" 1899089 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-812 1896644 1897305 1897333 "ODECAT" 1897938 T ODECAT (NIL) -9 NIL 1898469 NIL) (-811 1893499 1896349 1896471 "OCT" 1896554 NIL OCT (NIL T) -8 NIL NIL NIL) (-810 1893137 1893180 1893307 "OCTCT2" 1893450 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-809 1887772 1890207 1890247 "OC" 1891344 NIL OC (NIL T) -9 NIL 1892202 NIL) (-808 1884999 1885747 1886737 "OC-" 1886831 NIL OC- (NIL T T) -8 NIL NIL NIL) (-807 1884337 1884805 1884833 "OCAMON" 1884838 T OCAMON (NIL) -9 NIL 1884859 NIL) (-806 1883854 1884195 1884223 "OASGP" 1884228 T OASGP (NIL) -9 NIL 1884248 NIL) (-805 1883101 1883590 1883618 "OAMONS" 1883658 T OAMONS (NIL) -9 NIL 1883701 NIL) (-804 1882501 1882934 1882962 "OAMON" 1882967 T OAMON (NIL) -9 NIL 1882987 NIL) (-803 1881745 1882263 1882291 "OAGROUP" 1882296 T OAGROUP (NIL) -9 NIL 1882316 NIL) (-802 1881435 1881485 1881573 "NUMTUBE" 1881689 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-801 1875008 1876526 1878062 "NUMQUAD" 1879919 T NUMQUAD (NIL) -7 NIL NIL NIL) (-800 1870764 1871752 1872777 "NUMODE" 1874003 T NUMODE (NIL) -7 NIL NIL NIL) (-799 1868105 1868985 1869013 "NUMINT" 1869936 T NUMINT (NIL) -9 NIL 1870700 NIL) (-798 1867053 1867250 1867468 "NUMFMT" 1867907 T NUMFMT (NIL) -7 NIL NIL NIL) (-797 1853412 1856357 1858889 "NUMERIC" 1864560 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-796 1847782 1852861 1852956 "NTSCAT" 1852961 NIL NTSCAT (NIL T T T T) -9 NIL 1853000 NIL) (-795 1846976 1847141 1847334 "NTPOLFN" 1847621 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-794 1834777 1843801 1844613 "NSUP" 1846197 NIL NSUP (NIL T) -8 NIL NIL NIL) (-793 1834409 1834466 1834575 "NSUP2" 1834714 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-792 1824359 1834183 1834316 "NSMP" 1834321 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-791 1822791 1823092 1823449 "NREP" 1824047 NIL NREP (NIL T) -7 NIL NIL NIL) (-790 1821382 1821634 1821992 "NPCOEF" 1822534 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-789 1820448 1820563 1820779 "NORMRETR" 1821263 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-788 1818489 1818779 1819188 "NORMPK" 1820156 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-787 1818174 1818202 1818326 "NORMMA" 1818455 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-786 1817974 1818131 1818160 "NONE" 1818165 T NONE (NIL) -8 NIL NIL NIL) (-785 1817763 1817792 1817861 "NONE1" 1817938 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-784 1817260 1817322 1817501 "NODE1" 1817695 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-783 1815541 1816392 1816647 "NNI" 1816994 T NNI (NIL) -8 NIL NIL 1817229) (-782 1813961 1814274 1814638 "NLINSOL" 1815209 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-781 1810202 1811197 1812096 "NIPROB" 1813082 T NIPROB (NIL) -8 NIL NIL NIL) (-780 1808959 1809193 1809495 "NFINTBAS" 1809964 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-779 1808133 1808609 1808650 "NETCLT" 1808822 NIL NETCLT (NIL T) -9 NIL 1808904 NIL) (-778 1806841 1807072 1807353 "NCODIV" 1807901 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-777 1806603 1806640 1806715 "NCNTFRAC" 1806798 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-776 1804783 1805147 1805567 "NCEP" 1806228 NIL NCEP (NIL T) -7 NIL NIL NIL) (-775 1803620 1804393 1804421 "NASRING" 1804531 T NASRING (NIL) -9 NIL 1804611 NIL) (-774 1803415 1803459 1803553 "NASRING-" 1803558 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-773 1802508 1803033 1803061 "NARNG" 1803178 T NARNG (NIL) -9 NIL 1803269 NIL) (-772 1802200 1802267 1802401 "NARNG-" 1802406 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-771 1801079 1801286 1801521 "NAGSP" 1801985 T NAGSP (NIL) -7 NIL NIL NIL) (-770 1792351 1794035 1795708 "NAGS" 1799426 T NAGS (NIL) -7 NIL NIL NIL) (-769 1790899 1791207 1791538 "NAGF07" 1792040 T NAGF07 (NIL) -7 NIL NIL NIL) (-768 1785437 1786728 1788035 "NAGF04" 1789612 T NAGF04 (NIL) -7 NIL NIL NIL) (-767 1778405 1780019 1781652 "NAGF02" 1783824 T NAGF02 (NIL) -7 NIL NIL NIL) (-766 1773629 1774729 1775846 "NAGF01" 1777308 T NAGF01 (NIL) -7 NIL NIL NIL) (-765 1767257 1768823 1770408 "NAGE04" 1772064 T NAGE04 (NIL) -7 NIL NIL NIL) (-764 1758426 1760547 1762677 "NAGE02" 1765147 T NAGE02 (NIL) -7 NIL NIL NIL) (-763 1754379 1755326 1756290 "NAGE01" 1757482 T NAGE01 (NIL) -7 NIL NIL NIL) (-762 1752174 1752708 1753266 "NAGD03" 1753841 T NAGD03 (NIL) -7 NIL NIL NIL) (-761 1743924 1745852 1747806 "NAGD02" 1750240 T NAGD02 (NIL) -7 NIL NIL NIL) (-760 1737735 1739160 1740600 "NAGD01" 1742504 T NAGD01 (NIL) -7 NIL NIL NIL) (-759 1733944 1734766 1735603 "NAGC06" 1736918 T NAGC06 (NIL) -7 NIL NIL NIL) (-758 1732409 1732741 1733097 "NAGC05" 1733608 T NAGC05 (NIL) -7 NIL NIL NIL) (-757 1731785 1731904 1732048 "NAGC02" 1732285 T NAGC02 (NIL) -7 NIL NIL NIL) (-756 1730730 1731313 1731353 "NAALG" 1731432 NIL NAALG (NIL T) -9 NIL 1731493 NIL) (-755 1730565 1730594 1730684 "NAALG-" 1730689 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-754 1724515 1725623 1726810 "MULTSQFR" 1729461 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-753 1723834 1723909 1724093 "MULTFACT" 1724427 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-752 1716505 1720419 1720472 "MTSCAT" 1721542 NIL MTSCAT (NIL T T) -9 NIL 1722057 NIL) (-751 1716217 1716271 1716363 "MTHING" 1716445 NIL MTHING (NIL T) -7 NIL NIL NIL) (-750 1716009 1716042 1716102 "MSYSCMD" 1716177 T MSYSCMD (NIL) -7 NIL NIL NIL) (-749 1712091 1714764 1715084 "MSET" 1715722 NIL MSET (NIL T) -8 NIL NIL NIL) (-748 1709160 1711652 1711693 "MSETAGG" 1711698 NIL MSETAGG (NIL T) -9 NIL 1711732 NIL) (-747 1705002 1706539 1707284 "MRING" 1708460 NIL MRING (NIL T T) -8 NIL NIL NIL) (-746 1704568 1704635 1704766 "MRF2" 1704929 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-745 1704186 1704221 1704365 "MRATFAC" 1704527 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-744 1701798 1702093 1702524 "MPRFF" 1703891 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-743 1695819 1701652 1701749 "MPOLY" 1701754 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-742 1695309 1695344 1695552 "MPCPF" 1695778 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-741 1694823 1694866 1695050 "MPC3" 1695260 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-740 1694018 1694099 1694320 "MPC2" 1694738 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-739 1692319 1692656 1693046 "MONOTOOL" 1693678 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-738 1691530 1691847 1691875 "MONOID" 1692094 T MONOID (NIL) -9 NIL 1692241 NIL) (-737 1691076 1691195 1691376 "MONOID-" 1691381 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-736 1680666 1686896 1686955 "MONOGEN" 1687629 NIL MONOGEN (NIL T T) -9 NIL 1688085 NIL) (-735 1677884 1678619 1679619 "MONOGEN-" 1679738 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-734 1676703 1677149 1677177 "MONADWU" 1677569 T MONADWU (NIL) -9 NIL 1677807 NIL) (-733 1676075 1676234 1676482 "MONADWU-" 1676487 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-732 1675420 1675664 1675692 "MONAD" 1675899 T MONAD (NIL) -9 NIL 1676011 NIL) (-731 1675105 1675183 1675315 "MONAD-" 1675320 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-730 1673394 1674018 1674297 "MOEBIUS" 1674858 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-729 1672658 1673062 1673102 "MODULE" 1673107 NIL MODULE (NIL T) -9 NIL 1673146 NIL) (-728 1672226 1672322 1672512 "MODULE-" 1672517 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-727 1669906 1670590 1670917 "MODRING" 1672050 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-726 1666850 1668011 1668532 "MODOP" 1669435 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-725 1665438 1665917 1666194 "MODMONOM" 1666713 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-724 1655206 1663729 1664143 "MODMON" 1665075 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-723 1652362 1654050 1654326 "MODFIELD" 1655081 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-722 1651339 1651643 1651833 "MMLFORM" 1652192 T MMLFORM (NIL) -8 NIL NIL NIL) (-721 1650865 1650908 1651087 "MMAP" 1651290 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-720 1648930 1649697 1649738 "MLO" 1650161 NIL MLO (NIL T) -9 NIL 1650403 NIL) (-719 1646296 1646812 1647414 "MLIFT" 1648411 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-718 1645687 1645771 1645925 "MKUCFUNC" 1646207 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-717 1645286 1645356 1645479 "MKRECORD" 1645610 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-716 1644333 1644495 1644723 "MKFUNC" 1645097 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-715 1643721 1643825 1643981 "MKFLCFN" 1644216 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-714 1642998 1643100 1643285 "MKBCFUNC" 1643614 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-713 1639587 1642552 1642688 "MINT" 1642882 T MINT (NIL) -8 NIL NIL NIL) (-712 1638399 1638642 1638919 "MHROWRED" 1639342 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-711 1633779 1636934 1637339 "MFLOAT" 1638014 T MFLOAT (NIL) -8 NIL NIL NIL) (-710 1633136 1633212 1633383 "MFINFACT" 1633691 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-709 1629451 1630299 1631183 "MESH" 1632272 T MESH (NIL) -7 NIL NIL NIL) (-708 1627841 1628153 1628506 "MDDFACT" 1629138 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-707 1624610 1626972 1627013 "MDAGG" 1627268 NIL MDAGG (NIL T) -9 NIL 1627411 NIL) (-706 1613304 1623903 1624110 "MCMPLX" 1624423 T MCMPLX (NIL) -8 NIL NIL NIL) (-705 1612441 1612587 1612788 "MCDEN" 1613153 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-704 1610331 1610601 1610981 "MCALCFN" 1612171 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-703 1609256 1609496 1609729 "MAYBE" 1610137 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-702 1606868 1607391 1607953 "MATSTOR" 1608727 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-701 1602827 1606240 1606488 "MATRIX" 1606653 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-700 1598593 1599300 1600036 "MATLIN" 1602184 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-699 1588673 1591857 1591934 "MATCAT" 1596814 NIL MATCAT (NIL T T T) -9 NIL 1598231 NIL) (-698 1585029 1586050 1587406 "MATCAT-" 1587411 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-697 1583623 1583776 1584109 "MATCAT2" 1584864 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-696 1581735 1582059 1582443 "MAPPKG3" 1583298 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-695 1580716 1580889 1581111 "MAPPKG2" 1581559 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-694 1579215 1579499 1579826 "MAPPKG1" 1580422 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-693 1578294 1578621 1578798 "MAPPAST" 1579058 T MAPPAST (NIL) -8 NIL NIL NIL) (-692 1577905 1577963 1578086 "MAPHACK3" 1578230 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-691 1577497 1577558 1577672 "MAPHACK2" 1577837 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-690 1576935 1577038 1577180 "MAPHACK1" 1577388 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-689 1575014 1575635 1575939 "MAGMA" 1576663 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-688 1574493 1574738 1574829 "MACROAST" 1574943 T MACROAST (NIL) -8 NIL NIL NIL) (-687 1570913 1572732 1573193 "M3D" 1574065 NIL M3D (NIL T) -8 NIL NIL NIL) (-686 1564962 1569224 1569265 "LZSTAGG" 1570047 NIL LZSTAGG (NIL T) -9 NIL 1570342 NIL) (-685 1560920 1562093 1563550 "LZSTAGG-" 1563555 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-684 1558007 1558811 1559298 "LWORD" 1560465 NIL LWORD (NIL T) -8 NIL NIL NIL) (-683 1557583 1557811 1557886 "LSTAST" 1557952 T LSTAST (NIL) -8 NIL NIL NIL) (-682 1550473 1557354 1557488 "LSQM" 1557493 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-681 1549697 1549836 1550064 "LSPP" 1550328 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-680 1547509 1547810 1548266 "LSMP" 1549386 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-679 1544288 1544962 1545692 "LSMP1" 1546811 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-678 1538116 1543405 1543446 "LSAGG" 1543508 NIL LSAGG (NIL T) -9 NIL 1543586 NIL) (-677 1534811 1535735 1536948 "LSAGG-" 1536953 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-676 1532410 1533955 1534204 "LPOLY" 1534606 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-675 1531992 1532077 1532200 "LPEFRAC" 1532319 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-674 1530313 1531086 1531339 "LO" 1531824 NIL LO (NIL T T T) -8 NIL NIL NIL) (-673 1529951 1530063 1530091 "LOGIC" 1530202 T LOGIC (NIL) -9 NIL 1530283 NIL) (-672 1529813 1529836 1529907 "LOGIC-" 1529912 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-671 1529006 1529146 1529339 "LODOOPS" 1529669 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-670 1526429 1528922 1528988 "LODO" 1528993 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-669 1524967 1525202 1525555 "LODOF" 1526176 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-668 1521171 1523602 1523643 "LODOCAT" 1524081 NIL LODOCAT (NIL T) -9 NIL 1524292 NIL) (-667 1520904 1520962 1521089 "LODOCAT-" 1521094 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-666 1518224 1520745 1520863 "LODO2" 1520868 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-665 1515659 1518161 1518206 "LODO1" 1518211 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-664 1514540 1514705 1515010 "LODEEF" 1515482 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-663 1509817 1512706 1512747 "LNAGG" 1513609 NIL LNAGG (NIL T) -9 NIL 1514044 NIL) (-662 1508964 1509178 1509520 "LNAGG-" 1509525 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-661 1505100 1505889 1506528 "LMOPS" 1508379 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-660 1504489 1504877 1504918 "LMODULE" 1504923 NIL LMODULE (NIL T) -9 NIL 1504949 NIL) (-659 1501689 1504134 1504257 "LMDICT" 1504399 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-658 1501307 1501479 1501520 "LLINSET" 1501581 NIL LLINSET (NIL T) -9 NIL 1501625 NIL) (-657 1501006 1501215 1501275 "LITERAL" 1501280 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-656 1494171 1499940 1500244 "LIST" 1500735 NIL LIST (NIL T) -8 NIL NIL NIL) (-655 1493696 1493770 1493909 "LIST3" 1494091 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-654 1492703 1492881 1493109 "LIST2" 1493514 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-653 1490837 1491149 1491548 "LIST2MAP" 1492350 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-652 1490468 1490656 1490697 "LINSET" 1490702 NIL LINSET (NIL T) -9 NIL 1490736 NIL) (-651 1488881 1489495 1489536 "LINEXP" 1490026 NIL LINEXP (NIL T) -9 NIL 1490299 NIL) (-650 1487458 1487718 1488029 "LINDEP" 1488633 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-649 1484225 1484944 1485721 "LIMITRF" 1486713 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-648 1482528 1482824 1483233 "LIMITPS" 1483920 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-647 1476956 1482039 1482267 "LIE" 1482349 NIL LIE (NIL T T) -8 NIL NIL NIL) (-646 1475890 1476359 1476399 "LIECAT" 1476539 NIL LIECAT (NIL T) -9 NIL 1476690 NIL) (-645 1475731 1475758 1475846 "LIECAT-" 1475851 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-644 1468322 1475271 1475427 "LIB" 1475595 T LIB (NIL) -8 NIL NIL NIL) (-643 1463957 1464840 1465775 "LGROBP" 1467439 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-642 1461955 1462229 1462579 "LF" 1463678 NIL LF (NIL T T) -7 NIL NIL NIL) (-641 1460795 1461487 1461515 "LFCAT" 1461722 T LFCAT (NIL) -9 NIL 1461861 NIL) (-640 1457697 1458327 1459015 "LEXTRIPK" 1460159 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-639 1454441 1455267 1455770 "LEXP" 1457277 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-638 1453917 1454162 1454254 "LETAST" 1454369 T LETAST (NIL) -8 NIL NIL NIL) (-637 1452315 1452628 1453029 "LEADCDET" 1453599 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-636 1451505 1451579 1451808 "LAZM3PK" 1452236 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-635 1446422 1449582 1450120 "LAUPOL" 1451017 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-634 1446001 1446045 1446206 "LAPLACE" 1446372 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-633 1443940 1445102 1445353 "LA" 1445834 NIL LA (NIL T T T) -8 NIL NIL NIL) (-632 1442920 1443504 1443545 "LALG" 1443607 NIL LALG (NIL T) -9 NIL 1443666 NIL) (-631 1442634 1442693 1442829 "LALG-" 1442834 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-630 1442469 1442493 1442534 "KVTFROM" 1442596 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-629 1441392 1441836 1442021 "KTVLOGIC" 1442304 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-628 1441227 1441251 1441292 "KRCFROM" 1441354 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-627 1440131 1440318 1440617 "KOVACIC" 1441027 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-626 1439966 1439990 1440031 "KONVERT" 1440093 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-625 1439801 1439825 1439866 "KOERCE" 1439928 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-624 1437632 1438394 1438771 "KERNEL" 1439457 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-623 1437128 1437209 1437341 "KERNEL2" 1437546 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-622 1430838 1435605 1435659 "KDAGG" 1436036 NIL KDAGG (NIL T T) -9 NIL 1436242 NIL) (-621 1430367 1430491 1430696 "KDAGG-" 1430701 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-620 1423515 1430028 1430183 "KAFILE" 1430245 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-619 1417943 1423026 1423254 "JORDAN" 1423336 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-618 1417322 1417592 1417713 "JOINAST" 1417842 T JOINAST (NIL) -8 NIL NIL NIL) (-617 1417168 1417227 1417282 "JAVACODE" 1417287 T JAVACODE (NIL) -8 NIL NIL NIL) (-616 1413394 1415345 1415399 "IXAGG" 1416328 NIL IXAGG (NIL T T) -9 NIL 1416787 NIL) (-615 1412313 1412619 1413038 "IXAGG-" 1413043 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-614 1407845 1412235 1412294 "IVECTOR" 1412299 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-613 1406611 1406848 1407114 "ITUPLE" 1407612 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-612 1405113 1405290 1405585 "ITRIGMNP" 1406433 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-611 1403858 1404062 1404345 "ITFUN3" 1404889 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-610 1403490 1403547 1403656 "ITFUN2" 1403795 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-609 1402649 1402970 1403144 "ITFORM" 1403336 T ITFORM (NIL) -8 NIL NIL NIL) (-608 1400610 1401669 1401947 "ITAYLOR" 1402404 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-607 1389555 1394747 1395910 "ISUPS" 1399480 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-606 1388659 1388799 1389035 "ISUMP" 1389402 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-605 1384036 1388604 1388645 "ISTRING" 1388650 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-604 1383512 1383757 1383849 "ISAST" 1383964 T ISAST (NIL) -8 NIL NIL NIL) (-603 1382721 1382803 1383019 "IRURPK" 1383426 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-602 1381657 1381858 1382098 "IRSN" 1382501 T IRSN (NIL) -7 NIL NIL NIL) (-601 1379728 1380083 1380512 "IRRF2F" 1381295 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-600 1379475 1379513 1379589 "IRREDFFX" 1379684 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-599 1378090 1378349 1378648 "IROOT" 1379208 NIL IROOT (NIL T) -7 NIL NIL NIL) (-598 1374694 1375774 1376466 "IR" 1377430 NIL IR (NIL T) -8 NIL NIL NIL) (-597 1373899 1374187 1374338 "IRFORM" 1374563 T IRFORM (NIL) -8 NIL NIL NIL) (-596 1371512 1372007 1372573 "IR2" 1373377 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-595 1370612 1370725 1370939 "IR2F" 1371395 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-594 1370403 1370437 1370497 "IPRNTPK" 1370572 T IPRNTPK (NIL) -7 NIL NIL NIL) (-593 1366984 1370292 1370361 "IPF" 1370366 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-592 1365311 1366909 1366966 "IPADIC" 1366971 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-591 1364623 1364871 1365001 "IP4ADDR" 1365201 T IP4ADDR (NIL) -8 NIL NIL NIL) (-590 1363997 1364252 1364384 "IOMODE" 1364511 T IOMODE (NIL) -8 NIL NIL NIL) (-589 1363070 1363594 1363721 "IOBFILE" 1363890 T IOBFILE (NIL) -8 NIL NIL NIL) (-588 1362558 1362974 1363002 "IOBCON" 1363007 T IOBCON (NIL) -9 NIL 1363028 NIL) (-587 1362069 1362127 1362310 "INVLAPLA" 1362494 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-586 1351717 1354071 1356457 "INTTR" 1359733 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-585 1348052 1348794 1349659 "INTTOOLS" 1350902 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-584 1347638 1347729 1347846 "INTSLPE" 1347955 T INTSLPE (NIL) -7 NIL NIL NIL) (-583 1345591 1347561 1347620 "INTRVL" 1347625 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-582 1343193 1343705 1344280 "INTRF" 1345076 NIL INTRF (NIL T) -7 NIL NIL NIL) (-581 1342604 1342701 1342843 "INTRET" 1343091 NIL INTRET (NIL T) -7 NIL NIL NIL) (-580 1340601 1340990 1341460 "INTRAT" 1342212 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-579 1337864 1338447 1339066 "INTPM" 1340086 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-578 1334609 1335208 1335946 "INTPAF" 1337250 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-577 1329788 1330750 1331801 "INTPACK" 1333578 T INTPACK (NIL) -7 NIL NIL NIL) (-576 1326600 1329585 1329694 "INT" 1329699 T INT (NIL) -8 NIL NIL NIL) (-575 1325852 1326004 1326212 "INTHERTR" 1326442 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-574 1325291 1325371 1325559 "INTHERAL" 1325766 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-573 1323137 1323580 1324037 "INTHEORY" 1324854 T INTHEORY (NIL) -7 NIL NIL NIL) (-572 1314543 1316164 1317936 "INTG0" 1321489 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-571 1295116 1299906 1304716 "INTFTBL" 1309753 T INTFTBL (NIL) -8 NIL NIL NIL) (-570 1294365 1294503 1294676 "INTFACT" 1294975 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-569 1291792 1292238 1292795 "INTEF" 1293919 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-568 1290145 1290884 1290912 "INTDOM" 1291213 T INTDOM (NIL) -9 NIL 1291420 NIL) (-567 1289514 1289688 1289930 "INTDOM-" 1289935 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-566 1285888 1287816 1287870 "INTCAT" 1288669 NIL INTCAT (NIL T) -9 NIL 1288990 NIL) (-565 1285360 1285463 1285591 "INTBIT" 1285780 T INTBIT (NIL) -7 NIL NIL NIL) (-564 1284059 1284213 1284520 "INTALG" 1285205 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-563 1283542 1283632 1283789 "INTAF" 1283963 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-562 1276889 1283352 1283492 "INTABL" 1283497 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-561 1276222 1276688 1276753 "INT8" 1276787 T INT8 (NIL) -8 NIL NIL 1276832) (-560 1275554 1276020 1276085 "INT64" 1276119 T INT64 (NIL) -8 NIL NIL 1276164) (-559 1274886 1275352 1275417 "INT32" 1275451 T INT32 (NIL) -8 NIL NIL 1275496) (-558 1274218 1274684 1274749 "INT16" 1274783 T INT16 (NIL) -8 NIL NIL 1274828) (-557 1268927 1271779 1271807 "INS" 1272741 T INS (NIL) -9 NIL 1273406 NIL) (-556 1266167 1266938 1267912 "INS-" 1267985 NIL INS- (NIL T) -8 NIL NIL NIL) (-555 1264942 1265169 1265467 "INPSIGN" 1265920 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-554 1264060 1264177 1264374 "INPRODPF" 1264822 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-553 1262954 1263071 1263308 "INPRODFF" 1263940 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-552 1261954 1262106 1262366 "INNMFACT" 1262790 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-551 1261151 1261248 1261436 "INMODGCD" 1261853 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-550 1259659 1259904 1260228 "INFSP" 1260896 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-549 1258843 1258960 1259143 "INFPROD0" 1259539 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-548 1255698 1256908 1257423 "INFORM" 1258336 T INFORM (NIL) -8 NIL NIL NIL) (-547 1255308 1255368 1255466 "INFORM1" 1255633 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-546 1254831 1254920 1255034 "INFINITY" 1255214 T INFINITY (NIL) -7 NIL NIL NIL) (-545 1254007 1254551 1254652 "INETCLTS" 1254750 T INETCLTS (NIL) -8 NIL NIL NIL) (-544 1252623 1252873 1253194 "INEP" 1253755 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-543 1251872 1252520 1252585 "INDE" 1252590 NIL INDE (NIL T) -8 NIL NIL NIL) (-542 1251436 1251504 1251621 "INCRMAPS" 1251799 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-541 1250254 1250705 1250911 "INBFILE" 1251250 T INBFILE (NIL) -8 NIL NIL NIL) (-540 1245553 1246490 1247434 "INBFF" 1249342 NIL INBFF (NIL T) -7 NIL NIL NIL) (-539 1244461 1244730 1244758 "INBCON" 1245271 T INBCON (NIL) -9 NIL 1245537 NIL) (-538 1243713 1243936 1244212 "INBCON-" 1244217 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-537 1243192 1243437 1243528 "INAST" 1243642 T INAST (NIL) -8 NIL NIL NIL) (-536 1242619 1242871 1242977 "IMPTAST" 1243106 T IMPTAST (NIL) -8 NIL NIL NIL) (-535 1239067 1242463 1242567 "IMATRIX" 1242572 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-534 1237775 1237898 1238214 "IMATQF" 1238923 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-533 1235995 1236222 1236559 "IMATLIN" 1237531 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-532 1230575 1235919 1235977 "ILIST" 1235982 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-531 1228482 1230435 1230548 "IIARRAY2" 1230553 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-530 1223880 1228393 1228457 "IFF" 1228462 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-529 1223227 1223497 1223613 "IFAST" 1223784 T IFAST (NIL) -8 NIL NIL NIL) (-528 1218224 1222519 1222707 "IFARRAY" 1223084 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-527 1217404 1218128 1218201 "IFAMON" 1218206 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-526 1216988 1217053 1217107 "IEVALAB" 1217314 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-525 1216663 1216731 1216891 "IEVALAB-" 1216896 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-524 1216294 1216577 1216640 "IDPO" 1216645 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-523 1215544 1216183 1216258 "IDPOAMS" 1216263 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-522 1214851 1215433 1215508 "IDPOAM" 1215513 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-521 1213896 1214172 1214225 "IDPC" 1214638 NIL IDPC (NIL T T) -9 NIL 1214787 NIL) (-520 1213365 1213788 1213861 "IDPAM" 1213866 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-519 1212741 1213257 1213330 "IDPAG" 1213335 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-518 1212386 1212577 1212652 "IDENT" 1212686 T IDENT (NIL) -8 NIL NIL NIL) (-517 1208641 1209489 1210384 "IDECOMP" 1211543 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-516 1201478 1202564 1203611 "IDEAL" 1207677 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-515 1200638 1200750 1200950 "ICDEN" 1201362 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-514 1199709 1200118 1200265 "ICARD" 1200511 T ICARD (NIL) -8 NIL NIL NIL) (-513 1197769 1198082 1198487 "IBPTOOLS" 1199386 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-512 1193376 1197389 1197502 "IBITS" 1197688 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-511 1190099 1190675 1191370 "IBATOOL" 1192793 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-510 1187878 1188340 1188873 "IBACHIN" 1189634 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-509 1185709 1187724 1187827 "IARRAY2" 1187832 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-508 1181817 1185635 1185692 "IARRAY1" 1185697 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-507 1175677 1180229 1180710 "IAN" 1181356 T IAN (NIL) -8 NIL NIL NIL) (-506 1175188 1175245 1175418 "IALGFACT" 1175614 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-505 1174716 1174829 1174857 "HYPCAT" 1175064 T HYPCAT (NIL) -9 NIL NIL NIL) (-504 1174254 1174371 1174557 "HYPCAT-" 1174562 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-503 1173849 1174049 1174132 "HOSTNAME" 1174191 T HOSTNAME (NIL) -8 NIL NIL NIL) (-502 1173694 1173731 1173772 "HOMOTOP" 1173777 NIL HOMOTOP (NIL T) -9 NIL 1173810 NIL) (-501 1170250 1171626 1171667 "HOAGG" 1172648 NIL HOAGG (NIL T) -9 NIL 1173377 NIL) (-500 1168844 1169243 1169769 "HOAGG-" 1169774 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-499 1162560 1168437 1168587 "HEXADEC" 1168714 T HEXADEC (NIL) -8 NIL NIL NIL) (-498 1161308 1161530 1161793 "HEUGCD" 1162337 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-497 1160384 1161145 1161275 "HELLFDIV" 1161280 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-496 1158565 1160161 1160249 "HEAP" 1160328 NIL HEAP (NIL T) -8 NIL NIL NIL) (-495 1157828 1158117 1158251 "HEADAST" 1158451 T HEADAST (NIL) -8 NIL NIL NIL) (-494 1151670 1157743 1157805 "HDP" 1157810 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-493 1145382 1151305 1151457 "HDMP" 1151571 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-492 1144706 1144846 1145010 "HB" 1145238 T HB (NIL) -7 NIL NIL NIL) (-491 1138096 1144552 1144656 "HASHTBL" 1144661 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-490 1137572 1137817 1137909 "HASAST" 1138024 T HASAST (NIL) -8 NIL NIL NIL) (-489 1135350 1137194 1137376 "HACKPI" 1137410 T HACKPI (NIL) -8 NIL NIL NIL) (-488 1131018 1135203 1135316 "GTSET" 1135321 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-487 1124437 1130896 1130994 "GSTBL" 1130999 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-486 1116824 1123602 1123858 "GSERIES" 1124237 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-485 1115951 1116368 1116396 "GROUP" 1116599 T GROUP (NIL) -9 NIL 1116733 NIL) (-484 1115317 1115476 1115727 "GROUP-" 1115732 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-483 1113684 1114005 1114392 "GROEBSOL" 1114994 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-482 1112584 1112872 1112923 "GRMOD" 1113452 NIL GRMOD (NIL T T) -9 NIL 1113620 NIL) (-481 1112352 1112388 1112516 "GRMOD-" 1112521 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-480 1107642 1108706 1109706 "GRIMAGE" 1111372 T GRIMAGE (NIL) -8 NIL NIL NIL) (-479 1106108 1106369 1106693 "GRDEF" 1107338 T GRDEF (NIL) -7 NIL NIL NIL) (-478 1105552 1105668 1105809 "GRAY" 1105987 T GRAY (NIL) -7 NIL NIL NIL) (-477 1104725 1105131 1105182 "GRALG" 1105335 NIL GRALG (NIL T T) -9 NIL 1105428 NIL) (-476 1104386 1104459 1104622 "GRALG-" 1104627 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-475 1101163 1103971 1104149 "GPOLSET" 1104293 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-474 1100517 1100574 1100832 "GOSPER" 1101100 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-473 1096249 1096955 1097481 "GMODPOL" 1100216 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-472 1095254 1095438 1095676 "GHENSEL" 1096061 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-471 1089410 1090253 1091273 "GENUPS" 1094338 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-470 1089107 1089158 1089247 "GENUFACT" 1089353 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-469 1088519 1088596 1088761 "GENPGCD" 1089025 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-468 1087993 1088028 1088241 "GENMFACT" 1088478 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-467 1086559 1086816 1087123 "GENEEZ" 1087736 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-466 1080431 1086170 1086332 "GDMP" 1086482 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-465 1069774 1074202 1075308 "GCNAALG" 1079414 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-464 1068087 1068949 1068977 "GCDDOM" 1069232 T GCDDOM (NIL) -9 NIL 1069389 NIL) (-463 1067557 1067684 1067899 "GCDDOM-" 1067904 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-462 1066229 1066414 1066718 "GB" 1067336 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-461 1054845 1057175 1059567 "GBINTERN" 1063920 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-460 1052682 1052974 1053395 "GBF" 1054520 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-459 1051463 1051628 1051895 "GBEUCLID" 1052498 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-458 1050812 1050937 1051086 "GAUSSFAC" 1051334 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-457 1049179 1049481 1049795 "GALUTIL" 1050531 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-456 1047487 1047761 1048085 "GALPOLYU" 1048906 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-455 1044852 1045142 1045549 "GALFACTU" 1047184 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-454 1036658 1038157 1039765 "GALFACT" 1043284 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-453 1034046 1034704 1034732 "FVFUN" 1035888 T FVFUN (NIL) -9 NIL 1036608 NIL) (-452 1033312 1033494 1033522 "FVC" 1033813 T FVC (NIL) -9 NIL 1033996 NIL) (-451 1032955 1033137 1033205 "FUNDESC" 1033264 T FUNDESC (NIL) -8 NIL NIL NIL) (-450 1032570 1032752 1032833 "FUNCTION" 1032907 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-449 1030314 1030892 1031358 "FT" 1032124 T FT (NIL) -8 NIL NIL NIL) (-448 1029105 1029615 1029818 "FTEM" 1030131 T FTEM (NIL) -8 NIL NIL NIL) (-447 1027396 1027685 1028082 "FSUPFACT" 1028796 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-446 1025793 1026082 1026414 "FST" 1027084 T FST (NIL) -8 NIL NIL NIL) (-445 1024992 1025098 1025286 "FSRED" 1025675 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-444 1023691 1023947 1024294 "FSPRMELT" 1024707 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-443 1020997 1021435 1021921 "FSPECF" 1023254 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-442 1002062 1010771 1010812 "FS" 1014696 NIL FS (NIL T) -9 NIL 1016985 NIL) (-441 990705 993698 997755 "FS-" 998055 NIL FS- (NIL T T) -8 NIL NIL NIL) (-440 990233 990287 990457 "FSINT" 990646 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-439 988525 989226 989529 "FSERIES" 990012 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-438 987567 987683 987907 "FSCINT" 988405 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-437 983775 986511 986552 "FSAGG" 986922 NIL FSAGG (NIL T) -9 NIL 987181 NIL) (-436 981537 982138 982934 "FSAGG-" 983029 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-435 980579 980722 980949 "FSAGG2" 981390 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-434 978257 978537 979085 "FS2UPS" 980297 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-433 977891 977934 978063 "FS2" 978208 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-432 976769 976940 977242 "FS2EXPXP" 977716 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-431 976195 976310 976462 "FRUTIL" 976649 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-430 967608 971690 973048 "FR" 974869 NIL FR (NIL T) -8 NIL NIL NIL) (-429 962622 965297 965337 "FRNAALG" 966657 NIL FRNAALG (NIL T) -9 NIL 967255 NIL) (-428 958295 959371 960646 "FRNAALG-" 961396 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-427 957933 957976 958103 "FRNAAF2" 958246 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-426 956308 956782 957078 "FRMOD" 957745 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-425 954051 954683 955001 "FRIDEAL" 956099 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-424 953242 953329 953620 "FRIDEAL2" 953958 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-423 952375 952789 952830 "FRETRCT" 952835 NIL FRETRCT (NIL T) -9 NIL 953011 NIL) (-422 951487 951718 952069 "FRETRCT-" 952074 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-421 948561 949771 949830 "FRAMALG" 950712 NIL FRAMALG (NIL T T) -9 NIL 951004 NIL) (-420 946695 947150 947780 "FRAMALG-" 948003 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-419 940338 946168 946445 "FRAC" 946450 NIL FRAC (NIL T) -8 NIL NIL NIL) (-418 939974 940031 940138 "FRAC2" 940275 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-417 939610 939667 939774 "FR2" 939911 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-416 934109 937002 937030 "FPS" 938149 T FPS (NIL) -9 NIL 938706 NIL) (-415 933558 933667 933831 "FPS-" 933977 NIL FPS- (NIL T) -8 NIL NIL NIL) (-414 930846 932515 932543 "FPC" 932768 T FPC (NIL) -9 NIL 932910 NIL) (-413 930639 930679 930776 "FPC-" 930781 NIL FPC- (NIL T) -8 NIL NIL NIL) (-412 929429 930127 930168 "FPATMAB" 930173 NIL FPATMAB (NIL T) -9 NIL 930325 NIL) (-411 927668 928171 928518 "FPARFRAC" 929145 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-410 923062 923560 924242 "FORTRAN" 927100 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-409 920778 921278 921817 "FORT" 922543 T FORT (NIL) -7 NIL NIL NIL) (-408 918454 919016 919044 "FORTFN" 920104 T FORTFN (NIL) -9 NIL 920728 NIL) (-407 918218 918268 918296 "FORTCAT" 918355 T FORTCAT (NIL) -9 NIL 918417 NIL) (-406 916324 916834 917224 "FORMULA" 917848 T FORMULA (NIL) -8 NIL NIL NIL) (-405 916112 916142 916211 "FORMULA1" 916288 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-404 915635 915687 915860 "FORDER" 916054 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-403 914731 914895 915088 "FOP" 915462 T FOP (NIL) -7 NIL NIL NIL) (-402 913312 914011 914185 "FNLA" 914613 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-401 912027 912442 912470 "FNCAT" 912930 T FNCAT (NIL) -9 NIL 913190 NIL) (-400 911566 911986 912014 "FNAME" 912019 T FNAME (NIL) -8 NIL NIL NIL) (-399 910115 911078 911106 "FMTC" 911111 T FMTC (NIL) -9 NIL 911147 NIL) (-398 908861 910051 910097 "FMONOID" 910102 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-397 905675 906843 906884 "FMONCAT" 908101 NIL FMONCAT (NIL T) -9 NIL 908706 NIL) (-396 904867 905417 905566 "FM" 905571 NIL FM (NIL T T) -8 NIL NIL NIL) (-395 902291 902937 902965 "FMFUN" 904109 T FMFUN (NIL) -9 NIL 904817 NIL) (-394 901560 901741 901769 "FMC" 902059 T FMC (NIL) -9 NIL 902241 NIL) (-393 898625 899485 899539 "FMCAT" 900734 NIL FMCAT (NIL T T) -9 NIL 901229 NIL) (-392 897491 898391 898491 "FM1" 898570 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-391 895265 895681 896175 "FLOATRP" 897042 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-390 888843 892994 893615 "FLOAT" 894664 T FLOAT (NIL) -8 NIL NIL NIL) (-389 886281 886781 887359 "FLOATCP" 888310 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-388 884929 885873 885914 "FLINEXP" 885919 NIL FLINEXP (NIL T) -9 NIL 886012 NIL) (-387 884083 884318 884646 "FLINEXP-" 884651 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-386 883159 883303 883527 "FLASORT" 883935 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-385 880261 881129 881181 "FLALG" 882408 NIL FLALG (NIL T T) -9 NIL 882875 NIL) (-384 873947 877697 877738 "FLAGG" 879000 NIL FLAGG (NIL T) -9 NIL 879652 NIL) (-383 872673 873012 873502 "FLAGG-" 873507 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-382 871715 871858 872085 "FLAGG2" 872526 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-381 868552 869560 869619 "FINRALG" 870747 NIL FINRALG (NIL T T) -9 NIL 871255 NIL) (-380 867712 867941 868280 "FINRALG-" 868285 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-379 867078 867317 867345 "FINITE" 867541 T FINITE (NIL) -9 NIL 867648 NIL) (-378 859421 861608 861648 "FINAALG" 865315 NIL FINAALG (NIL T) -9 NIL 866768 NIL) (-377 854753 855803 856947 "FINAALG-" 858326 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-376 854121 854508 854611 "FILE" 854683 NIL FILE (NIL T) -8 NIL NIL NIL) (-375 852765 853103 853157 "FILECAT" 853841 NIL FILECAT (NIL T T) -9 NIL 854057 NIL) (-374 850467 851995 852023 "FIELD" 852063 T FIELD (NIL) -9 NIL 852143 NIL) (-373 849087 849472 849983 "FIELD-" 849988 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-372 846937 847722 848069 "FGROUP" 848773 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-371 846027 846191 846411 "FGLMICPK" 846769 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-370 841859 845952 846009 "FFX" 846014 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-369 841460 841521 841656 "FFSLPE" 841792 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-368 837450 838232 839028 "FFPOLY" 840696 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-367 836954 836990 837199 "FFPOLY2" 837408 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-366 832800 836873 836936 "FFP" 836941 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-365 828198 832711 832775 "FF" 832780 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-364 823324 827541 827731 "FFNBX" 828052 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-363 818252 822459 822717 "FFNBP" 823178 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-362 812885 817536 817747 "FFNB" 818085 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-361 811717 811915 812230 "FFINTBAS" 812682 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-360 807743 809964 809992 "FFIELDC" 810612 T FFIELDC (NIL) -9 NIL 810988 NIL) (-359 806405 806776 807273 "FFIELDC-" 807278 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-358 805974 806020 806144 "FFHOM" 806347 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-357 803669 804156 804673 "FFF" 805489 NIL FFF (NIL T) -7 NIL NIL NIL) (-356 799287 803411 803512 "FFCGX" 803612 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-355 794909 799019 799126 "FFCGP" 799230 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-354 790092 794636 794744 "FFCG" 794845 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-353 769621 779824 779910 "FFCAT" 785075 NIL FFCAT (NIL T T T) -9 NIL 786526 NIL) (-352 764818 765866 767180 "FFCAT-" 768410 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-351 764229 764272 764507 "FFCAT2" 764769 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-350 753552 757201 758421 "FEXPR" 763081 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-349 752514 752949 752990 "FEVALAB" 753074 NIL FEVALAB (NIL T) -9 NIL 753335 NIL) (-348 751673 751883 752221 "FEVALAB-" 752226 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-347 750239 751056 751259 "FDIV" 751572 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-346 747245 747986 748101 "FDIVCAT" 749669 NIL FDIVCAT (NIL T T T T) -9 NIL 750106 NIL) (-345 747007 747034 747204 "FDIVCAT-" 747209 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-344 746227 746314 746591 "FDIV2" 746914 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-343 745201 745522 745724 "FCTRDATA" 746045 T FCTRDATA (NIL) -8 NIL NIL NIL) (-342 743887 744146 744435 "FCPAK1" 744932 T FCPAK1 (NIL) -7 NIL NIL NIL) (-341 742986 743387 743528 "FCOMP" 743778 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-340 726691 730136 733674 "FC" 739468 T FC (NIL) -8 NIL NIL NIL) (-339 718984 723012 723052 "FAXF" 724854 NIL FAXF (NIL T) -9 NIL 725546 NIL) (-338 716261 716918 717743 "FAXF-" 718208 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-337 711315 715637 715813 "FARRAY" 716118 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-336 706195 708262 708315 "FAMR" 709338 NIL FAMR (NIL T T) -9 NIL 709798 NIL) (-335 705085 705387 705822 "FAMR-" 705827 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-334 704254 705007 705060 "FAMONOID" 705065 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-333 702026 702736 702789 "FAMONC" 703730 NIL FAMONC (NIL T T) -9 NIL 704116 NIL) (-332 700690 701780 701917 "FAGROUP" 701922 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-331 698485 698804 699207 "FACUTIL" 700371 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-330 697584 697769 697991 "FACTFUNC" 698295 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-329 690006 696887 697086 "EXPUPXS" 697440 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-328 687489 688029 688615 "EXPRTUBE" 689440 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-327 683760 684352 685082 "EXPRODE" 686828 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-326 669244 682409 682838 "EXPR" 683364 NIL EXPR (NIL T) -8 NIL NIL NIL) (-325 663798 664385 665191 "EXPR2UPS" 668542 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-324 663430 663487 663596 "EXPR2" 663735 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-323 654427 662581 662872 "EXPEXPAN" 663266 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-322 654227 654384 654413 "EXIT" 654418 T EXIT (NIL) -8 NIL NIL NIL) (-321 653707 653951 654042 "EXITAST" 654156 T EXITAST (NIL) -8 NIL NIL NIL) (-320 653334 653396 653509 "EVALCYC" 653639 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-319 652875 652993 653034 "EVALAB" 653204 NIL EVALAB (NIL T) -9 NIL 653308 NIL) (-318 652356 652478 652699 "EVALAB-" 652704 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-317 649710 651012 651040 "EUCDOM" 651595 T EUCDOM (NIL) -9 NIL 651945 NIL) (-316 648115 648557 649147 "EUCDOM-" 649152 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-315 635654 638413 641163 "ESTOOLS" 645385 T ESTOOLS (NIL) -7 NIL NIL NIL) (-314 635286 635343 635452 "ESTOOLS2" 635591 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-313 635037 635079 635159 "ESTOOLS1" 635238 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-312 629060 630668 630696 "ES" 633464 T ES (NIL) -9 NIL 634874 NIL) (-311 624007 625294 627111 "ES-" 627275 NIL ES- (NIL T) -8 NIL NIL NIL) (-310 620381 621142 621922 "ESCONT" 623247 T ESCONT (NIL) -7 NIL NIL NIL) (-309 620126 620158 620240 "ESCONT1" 620343 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-308 619801 619851 619951 "ES2" 620070 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-307 619431 619489 619598 "ES1" 619737 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-306 618647 618776 618952 "ERROR" 619275 T ERROR (NIL) -7 NIL NIL NIL) (-305 612043 618506 618597 "EQTBL" 618602 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-304 604546 607357 608806 "EQ" 610627 NIL -2054 (NIL T) -8 NIL NIL NIL) (-303 604178 604235 604344 "EQ2" 604483 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-302 599469 600516 601609 "EP" 603117 NIL EP (NIL T) -7 NIL NIL NIL) (-301 598069 598360 598666 "ENV" 599183 T ENV (NIL) -8 NIL NIL NIL) (-300 597149 597703 597731 "ENTIRER" 597736 T ENTIRER (NIL) -9 NIL 597782 NIL) (-299 593843 595331 595692 "EMR" 596957 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-298 592973 593158 593212 "ELTAGG" 593592 NIL ELTAGG (NIL T T) -9 NIL 593803 NIL) (-297 592692 592754 592895 "ELTAGG-" 592900 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-296 592456 592485 592539 "ELTAB" 592623 NIL ELTAB (NIL T T) -9 NIL 592675 NIL) (-295 591582 591728 591927 "ELFUTS" 592307 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-294 591324 591380 591408 "ELEMFUN" 591513 T ELEMFUN (NIL) -9 NIL NIL NIL) (-293 591194 591215 591283 "ELEMFUN-" 591288 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-292 585982 589236 589277 "ELAGG" 590217 NIL ELAGG (NIL T) -9 NIL 590680 NIL) (-291 584267 584701 585364 "ELAGG-" 585369 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-290 583579 583716 583872 "ELABOR" 584131 T ELABOR (NIL) -8 NIL NIL NIL) (-289 582240 582519 582813 "ELABEXPR" 583305 T ELABEXPR (NIL) -8 NIL NIL NIL) (-288 575074 576877 577706 "EFUPXS" 581515 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-287 568522 570323 571134 "EFULS" 574349 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-286 566007 566365 566837 "EFSTRUC" 568154 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-285 555798 557364 558912 "EF" 564522 NIL EF (NIL T T) -7 NIL NIL NIL) (-284 554872 555283 555432 "EAB" 555669 T EAB (NIL) -8 NIL NIL NIL) (-283 554054 554831 554859 "E04UCFA" 554864 T E04UCFA (NIL) -8 NIL NIL NIL) (-282 553236 554013 554041 "E04NAFA" 554046 T E04NAFA (NIL) -8 NIL NIL NIL) (-281 552418 553195 553223 "E04MBFA" 553228 T E04MBFA (NIL) -8 NIL NIL NIL) (-280 551600 552377 552405 "E04JAFA" 552410 T E04JAFA (NIL) -8 NIL NIL NIL) (-279 550784 551559 551587 "E04GCFA" 551592 T E04GCFA (NIL) -8 NIL NIL NIL) (-278 549968 550743 550771 "E04FDFA" 550776 T E04FDFA (NIL) -8 NIL NIL NIL) (-277 549150 549927 549955 "E04DGFA" 549960 T E04DGFA (NIL) -8 NIL NIL NIL) (-276 543323 544675 546039 "E04AGNT" 547806 T E04AGNT (NIL) -7 NIL NIL NIL) (-275 542094 542637 542677 "DVARCAT" 543018 NIL DVARCAT (NIL T) -9 NIL 543181 NIL) (-274 541298 541510 541824 "DVARCAT-" 541829 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-273 534159 541097 541226 "DSMP" 541231 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-272 532582 533301 533342 "DSEXT" 533705 NIL DSEXT (NIL T) -9 NIL 533999 NIL) (-271 530867 531295 531961 "DSEXT-" 531966 NIL DSEXT- (NIL T T) -8 NIL NIL NIL) (-270 525648 526812 527880 "DROPT" 529819 T DROPT (NIL) -8 NIL NIL NIL) (-269 525313 525372 525470 "DROPT1" 525583 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-268 520428 521554 522691 "DROPT0" 524196 T DROPT0 (NIL) -7 NIL NIL NIL) (-267 518773 519098 519484 "DRAWPT" 520062 T DRAWPT (NIL) -7 NIL NIL NIL) (-266 513360 514283 515362 "DRAW" 517747 NIL DRAW (NIL T) -7 NIL NIL NIL) (-265 512993 513046 513164 "DRAWHACK" 513301 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-264 511724 511993 512284 "DRAWCX" 512722 T DRAWCX (NIL) -7 NIL NIL NIL) (-263 511239 511308 511459 "DRAWCURV" 511650 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-262 501707 503669 505784 "DRAWCFUN" 509144 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-261 498445 500372 500413 "DQAGG" 501042 NIL DQAGG (NIL T) -9 NIL 501316 NIL) (-260 485910 492656 492739 "DPOLCAT" 494591 NIL DPOLCAT (NIL T T T T) -9 NIL 495136 NIL) (-259 480747 482095 484053 "DPOLCAT-" 484058 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-258 474094 480608 480706 "DPMO" 480711 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-257 467344 473874 474041 "DPMM" 474046 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-256 466914 467128 467217 "DOMTMPLT" 467275 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-255 466347 466716 466796 "DOMCTOR" 466854 T DOMCTOR (NIL) -8 NIL NIL NIL) (-254 465559 465827 465978 "DOMAIN" 466216 T DOMAIN (NIL) -8 NIL NIL NIL) (-253 459271 465194 465346 "DMP" 465460 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-252 457216 458338 458379 "DMEXT" 458384 NIL DMEXT (NIL T) -9 NIL 458560 NIL) (-251 456816 456872 457016 "DLP" 457154 NIL DLP (NIL T) -7 NIL NIL NIL) (-250 450640 456143 456333 "DLIST" 456658 NIL DLIST (NIL T) -8 NIL NIL NIL) (-249 447411 449465 449506 "DLAGG" 450056 NIL DLAGG (NIL T) -9 NIL 450286 NIL) (-248 446073 446737 446765 "DIVRING" 446857 T DIVRING (NIL) -9 NIL 446940 NIL) (-247 445310 445500 445800 "DIVRING-" 445805 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-246 443412 443769 444175 "DISPLAY" 444924 T DISPLAY (NIL) -7 NIL NIL NIL) (-245 437274 443326 443389 "DIRPROD" 443394 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-244 436122 436325 436590 "DIRPROD2" 437067 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-243 424851 430888 430941 "DIRPCAT" 431199 NIL DIRPCAT (NIL NIL T) -9 NIL 432074 NIL) (-242 422177 422819 423700 "DIRPCAT-" 424037 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-241 421464 421624 421810 "DIOSP" 422011 T DIOSP (NIL) -7 NIL NIL NIL) (-240 418093 420348 420389 "DIOPS" 420823 NIL DIOPS (NIL T) -9 NIL 421052 NIL) (-239 417642 417756 417947 "DIOPS-" 417952 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-238 416693 417321 417349 "DIFRING" 417354 T DIFRING (NIL) -9 NIL 417376 NIL) (-237 416365 416439 416467 "DIFFSPC" 416586 T DIFFSPC (NIL) -9 NIL 416661 NIL) (-236 416010 416088 416240 "DIFFSPC-" 416245 NIL DIFFSPC- (NIL T) -8 NIL NIL NIL) (-235 415066 415544 415585 "DIFFMOD" 415590 NIL DIFFMOD (NIL T) -9 NIL 415688 NIL) (-234 414774 414819 414860 "DIFFDOM" 414981 NIL DIFFDOM (NIL T) -9 NIL 415049 NIL) (-233 414627 414651 414735 "DIFFDOM-" 414740 NIL DIFFDOM- (NIL T T) -8 NIL NIL NIL) (-232 412559 413831 413872 "DIFEXT" 413877 NIL DIFEXT (NIL T) -9 NIL 414030 NIL) (-231 409808 412063 412104 "DIAGG" 412109 NIL DIAGG (NIL T) -9 NIL 412129 NIL) (-230 409192 409349 409601 "DIAGG-" 409606 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-229 404611 408151 408428 "DHMATRIX" 408961 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-228 400223 401132 402142 "DFSFUN" 403621 T DFSFUN (NIL) -7 NIL NIL NIL) (-227 395301 399154 399466 "DFLOAT" 399931 T DFLOAT (NIL) -8 NIL NIL NIL) (-226 393564 393845 394234 "DFINTTLS" 395009 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-225 390593 391585 391985 "DERHAM" 393230 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-224 388396 390368 390457 "DEQUEUE" 390537 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-223 387650 387783 387966 "DEGRED" 388258 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-222 384080 384825 385671 "DEFINTRF" 386878 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-221 381635 382104 382696 "DEFINTEF" 383599 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-220 380985 381255 381370 "DEFAST" 381540 T DEFAST (NIL) -8 NIL NIL NIL) (-219 374701 380578 380728 "DECIMAL" 380855 T DECIMAL (NIL) -8 NIL NIL NIL) (-218 372213 372671 373177 "DDFACT" 374245 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-217 371809 371852 372003 "DBLRESP" 372164 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-216 369677 370039 370400 "DBASE" 371575 NIL DBASE (NIL T) -8 NIL NIL NIL) (-215 368919 369157 369303 "DATAARY" 369576 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-214 368025 368878 368906 "D03FAFA" 368911 T D03FAFA (NIL) -8 NIL NIL NIL) (-213 367132 367984 368012 "D03EEFA" 368017 T D03EEFA (NIL) -8 NIL NIL NIL) (-212 365082 365548 366037 "D03AGNT" 366663 T D03AGNT (NIL) -7 NIL NIL NIL) (-211 364371 365041 365069 "D02EJFA" 365074 T D02EJFA (NIL) -8 NIL NIL NIL) (-210 363660 364330 364358 "D02CJFA" 364363 T D02CJFA (NIL) -8 NIL NIL NIL) (-209 362949 363619 363647 "D02BHFA" 363652 T D02BHFA (NIL) -8 NIL NIL NIL) (-208 362238 362908 362936 "D02BBFA" 362941 T D02BBFA (NIL) -8 NIL NIL NIL) (-207 355435 357024 358630 "D02AGNT" 360652 T D02AGNT (NIL) -7 NIL NIL NIL) (-206 353203 353726 354272 "D01WGTS" 354909 T D01WGTS (NIL) -7 NIL NIL NIL) (-205 352270 353162 353190 "D01TRNS" 353195 T D01TRNS (NIL) -8 NIL NIL NIL) (-204 351338 352229 352257 "D01GBFA" 352262 T D01GBFA (NIL) -8 NIL NIL NIL) (-203 350406 351297 351325 "D01FCFA" 351330 T D01FCFA (NIL) -8 NIL NIL NIL) (-202 349474 350365 350393 "D01ASFA" 350398 T D01ASFA (NIL) -8 NIL NIL NIL) (-201 348542 349433 349461 "D01AQFA" 349466 T D01AQFA (NIL) -8 NIL NIL NIL) (-200 347610 348501 348529 "D01APFA" 348534 T D01APFA (NIL) -8 NIL NIL NIL) (-199 346678 347569 347597 "D01ANFA" 347602 T D01ANFA (NIL) -8 NIL NIL NIL) (-198 345746 346637 346665 "D01AMFA" 346670 T D01AMFA (NIL) -8 NIL NIL NIL) (-197 344814 345705 345733 "D01ALFA" 345738 T D01ALFA (NIL) -8 NIL NIL NIL) (-196 343882 344773 344801 "D01AKFA" 344806 T D01AKFA (NIL) -8 NIL NIL NIL) (-195 342950 343841 343869 "D01AJFA" 343874 T D01AJFA (NIL) -8 NIL NIL NIL) (-194 336245 337798 339359 "D01AGNT" 341409 T D01AGNT (NIL) -7 NIL NIL NIL) (-193 335582 335710 335862 "CYCLOTOM" 336113 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-192 332315 333030 333757 "CYCLES" 334875 T CYCLES (NIL) -7 NIL NIL NIL) (-191 331627 331761 331932 "CVMP" 332176 NIL CVMP (NIL T) -7 NIL NIL NIL) (-190 329468 329726 330095 "CTRIGMNP" 331355 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-189 328904 329262 329335 "CTOR" 329415 T CTOR (NIL) -8 NIL NIL NIL) (-188 328413 328635 328736 "CTORKIND" 328823 T CTORKIND (NIL) -8 NIL NIL NIL) (-187 327690 328006 328034 "CTORCAT" 328216 T CTORCAT (NIL) -9 NIL 328329 NIL) (-186 327288 327399 327558 "CTORCAT-" 327563 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-185 326750 326962 327070 "CTORCALL" 327212 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-184 326124 326223 326376 "CSTTOOLS" 326647 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-183 321923 322580 323338 "CRFP" 325436 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-182 321398 321644 321736 "CRCEAST" 321851 T CRCEAST (NIL) -8 NIL NIL NIL) (-181 320445 320630 320858 "CRAPACK" 321202 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-180 319829 319930 320134 "CPMATCH" 320321 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-179 319554 319582 319688 "CPIMA" 319795 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-178 315902 316574 317293 "COORDSYS" 318889 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-177 315314 315435 315577 "CONTOUR" 315780 T CONTOUR (NIL) -8 NIL NIL NIL) (-176 311205 313317 313809 "CONTFRAC" 314854 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-175 311085 311106 311134 "CONDUIT" 311171 T CONDUIT (NIL) -9 NIL NIL NIL) (-174 310159 310713 310741 "COMRING" 310746 T COMRING (NIL) -9 NIL 310798 NIL) (-173 309213 309517 309701 "COMPPROP" 309995 T COMPPROP (NIL) -8 NIL NIL NIL) (-172 308874 308909 309037 "COMPLPAT" 309172 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-171 298177 308683 308792 "COMPLEX" 308797 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 297813 297870 297977 "COMPLEX2" 298114 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-169 297152 297273 297433 "COMPILER" 297673 T COMPILER (NIL) -8 NIL NIL NIL) (-168 296870 296905 297003 "COMPFACT" 297111 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-167 279149 290574 290614 "COMPCAT" 291618 NIL COMPCAT (NIL T) -9 NIL 292966 NIL) (-166 268661 271588 275215 "COMPCAT-" 275571 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-165 268390 268418 268521 "COMMUPC" 268627 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-164 268184 268218 268277 "COMMONOP" 268351 T COMMONOP (NIL) -7 NIL NIL NIL) (-163 267740 267935 268022 "COMM" 268117 T COMM (NIL) -8 NIL NIL NIL) (-162 267316 267544 267619 "COMMAAST" 267685 T COMMAAST (NIL) -8 NIL NIL NIL) (-161 266565 266759 266787 "COMBOPC" 267125 T COMBOPC (NIL) -9 NIL 267300 NIL) (-160 265461 265671 265913 "COMBINAT" 266355 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-159 261918 262492 263119 "COMBF" 264883 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-158 260676 261034 261269 "COLOR" 261703 T COLOR (NIL) -8 NIL NIL NIL) (-157 260152 260397 260489 "COLONAST" 260604 T COLONAST (NIL) -8 NIL NIL NIL) (-156 259792 259839 259964 "CMPLXRT" 260099 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-155 259240 259492 259591 "CLLCTAST" 259713 T CLLCTAST (NIL) -8 NIL NIL NIL) (-154 254742 255770 256850 "CLIP" 258180 T CLIP (NIL) -7 NIL NIL NIL) (-153 253083 253843 254083 "CLIF" 254569 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-152 249232 251201 251242 "CLAGG" 252171 NIL CLAGG (NIL T) -9 NIL 252707 NIL) (-151 247654 248111 248694 "CLAGG-" 248699 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-150 247198 247283 247423 "CINTSLPE" 247563 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-149 244699 245170 245718 "CHVAR" 246726 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-148 243859 244413 244441 "CHARZ" 244446 T CHARZ (NIL) -9 NIL 244461 NIL) (-147 243613 243653 243731 "CHARPOL" 243813 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-146 242657 243244 243272 "CHARNZ" 243319 T CHARNZ (NIL) -9 NIL 243375 NIL) (-145 240563 241311 241664 "CHAR" 242324 T CHAR (NIL) -8 NIL NIL NIL) (-144 240289 240350 240378 "CFCAT" 240489 T CFCAT (NIL) -9 NIL NIL NIL) (-143 239530 239641 239824 "CDEN" 240173 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-142 235495 238683 238963 "CCLASS" 239270 T CCLASS (NIL) -8 NIL NIL NIL) (-141 234746 234903 235080 "CATEGORY" 235338 T -10 (NIL) -8 NIL NIL NIL) (-140 234319 234665 234713 "CATCTOR" 234718 T CATCTOR (NIL) -8 NIL NIL NIL) (-139 233770 234022 234120 "CATAST" 234241 T CATAST (NIL) -8 NIL NIL NIL) (-138 233246 233491 233583 "CASEAST" 233698 T CASEAST (NIL) -8 NIL NIL NIL) (-137 228384 229403 230147 "CARTEN" 232558 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 227492 227640 227861 "CARTEN2" 228231 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-135 225808 226642 226899 "CARD" 227255 T CARD (NIL) -8 NIL NIL NIL) (-134 225384 225612 225687 "CAPSLAST" 225753 T CAPSLAST (NIL) -8 NIL NIL NIL) (-133 224874 225082 225110 "CACHSET" 225242 T CACHSET (NIL) -9 NIL 225320 NIL) (-132 224330 224652 224680 "CABMON" 224730 T CABMON (NIL) -9 NIL 224786 NIL) (-131 223803 224034 224144 "BYTEORD" 224240 T BYTEORD (NIL) -8 NIL NIL NIL) (-130 222780 223332 223474 "BYTE" 223637 T BYTE (NIL) -8 NIL NIL 223759) (-129 218132 222285 222457 "BYTEBUF" 222628 T BYTEBUF (NIL) -8 NIL NIL NIL) (-128 215643 217824 217931 "BTREE" 218058 NIL BTREE (NIL T) -8 NIL NIL NIL) (-127 213094 215291 215413 "BTOURN" 215553 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-126 210438 212536 212577 "BTCAT" 212645 NIL BTCAT (NIL T) -9 NIL 212722 NIL) (-125 210105 210185 210334 "BTCAT-" 210339 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-124 205484 209364 209392 "BTAGG" 209506 T BTAGG (NIL) -9 NIL 209616 NIL) (-123 204974 205099 205305 "BTAGG-" 205310 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-122 201971 204252 204467 "BSTREE" 204791 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-121 201109 201235 201419 "BRILL" 201827 NIL BRILL (NIL T) -7 NIL NIL NIL) (-120 197735 199807 199848 "BRAGG" 200497 NIL BRAGG (NIL T) -9 NIL 200755 NIL) (-119 196264 196670 197225 "BRAGG-" 197230 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-118 189180 195608 195793 "BPADICRT" 196111 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-117 187495 189117 189162 "BPADIC" 189167 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-116 187193 187223 187337 "BOUNDZRO" 187459 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-115 182421 183619 184531 "BOP" 186301 T BOP (NIL) -8 NIL NIL NIL) (-114 180202 180606 181081 "BOP1" 181979 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-113 179903 179964 179992 "BOOLE" 180103 T BOOLE (NIL) -9 NIL 180185 NIL) (-112 178728 179477 179626 "BOOLEAN" 179774 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 177993 178397 178451 "BMODULE" 178456 NIL BMODULE (NIL T T) -9 NIL 178521 NIL) (-110 173794 177791 177864 "BITS" 177940 T BITS (NIL) -8 NIL NIL NIL) (-109 173215 173334 173474 "BINDING" 173674 T BINDING (NIL) -8 NIL NIL NIL) (-108 166934 172810 172959 "BINARY" 173086 T BINARY (NIL) -8 NIL NIL NIL) (-107 164688 166161 166202 "BGAGG" 166462 NIL BGAGG (NIL T) -9 NIL 166599 NIL) (-106 164519 164551 164642 "BGAGG-" 164647 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 163590 163903 164108 "BFUNCT" 164334 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 162280 162458 162746 "BEZOUT" 163414 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 158751 161132 161462 "BBTREE" 161983 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 158460 158513 158541 "BASTYPE" 158660 T BASTYPE (NIL) -9 NIL 158734 NIL) (-101 158312 158341 158414 "BASTYPE-" 158419 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 157746 157822 157974 "BALFACT" 158223 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 156602 157161 157347 "AUTOMOR" 157591 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 156328 156333 156359 "ATTREG" 156364 T ATTREG (NIL) -9 NIL NIL NIL) (-97 154580 155025 155377 "ATTRBUT" 155994 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 154188 154408 154474 "ATTRAST" 154532 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 153724 153837 153863 "ATRIG" 154064 T ATRIG (NIL) -9 NIL NIL NIL) (-94 153533 153574 153661 "ATRIG-" 153666 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 153164 153350 153376 "ASTCAT" 153381 T ASTCAT (NIL) -9 NIL 153411 NIL) (-92 152891 152950 153069 "ASTCAT-" 153074 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 151042 152667 152755 "ASTACK" 152834 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 149547 149844 150209 "ASSOCEQ" 150724 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 148579 149206 149330 "ASP9" 149454 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 148342 148527 148566 "ASP8" 148571 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 147210 147947 148089 "ASP80" 148231 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 146108 146845 146977 "ASP7" 147109 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 145062 145785 145903 "ASP78" 146021 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 144031 144742 144859 "ASP77" 144976 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 142943 143669 143800 "ASP74" 143931 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 141843 142578 142710 "ASP73" 142842 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 140947 141669 141769 "ASP6" 141774 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 139894 140624 140742 "ASP55" 140860 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 138843 139568 139687 "ASP50" 139806 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 137931 138544 138654 "ASP4" 138764 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 137019 137632 137742 "ASP49" 137852 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 135803 136558 136726 "ASP42" 136908 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 134580 135336 135506 "ASP41" 135690 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 133530 134257 134375 "ASP35" 134493 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 133295 133478 133517 "ASP34" 133522 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 133032 133099 133175 "ASP33" 133250 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 131926 132667 132799 "ASP31" 132931 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 131691 131874 131913 "ASP30" 131918 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 131426 131495 131571 "ASP29" 131646 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 131191 131374 131413 "ASP28" 131418 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 130956 131139 131178 "ASP27" 131183 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 130040 130654 130765 "ASP24" 130876 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 129117 129842 129954 "ASP20" 129959 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 128205 128818 128928 "ASP1" 129038 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 127148 127879 127998 "ASP19" 128117 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 126885 126952 127028 "ASP12" 127103 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 125737 126484 126628 "ASP10" 126772 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 123590 125581 125672 "ARRAY2" 125677 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 119357 123238 123352 "ARRAY1" 123507 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 118389 118562 118783 "ARRAY12" 119180 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 112675 114591 114666 "ARR2CAT" 117296 NIL ARR2CAT (NIL T T T) -9 NIL 118054 NIL) (-56 110109 110853 111807 "ARR2CAT-" 111812 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 109426 109736 109861 "ARITY" 110002 T ARITY (NIL) -8 NIL NIL NIL) (-54 108202 108354 108653 "APPRULE" 109262 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 107853 107901 108020 "APPLYORE" 108148 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 107207 107446 107566 "ANY" 107751 T ANY (NIL) -8 NIL NIL NIL) (-51 106485 106608 106765 "ANY1" 107081 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 104015 104922 105249 "ANTISYM" 106209 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 103507 103722 103818 "ANON" 103937 T ANON (NIL) -8 NIL NIL NIL) (-48 97507 102046 102500 "AN" 103071 T AN (NIL) -8 NIL NIL NIL) (-47 93391 94779 94830 "AMR" 95578 NIL AMR (NIL T T) -9 NIL 96178 NIL) (-46 92503 92724 93087 "AMR-" 93092 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 76946 92420 92481 "ALIST" 92486 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 73751 76540 76709 "ALGSC" 76864 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 70307 70861 71468 "ALGPKG" 73191 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 69584 69685 69869 "ALGMFACT" 70193 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 65619 66198 66792 "ALGMANIP" 69168 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 55830 65245 65395 "ALGFF" 65552 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 55026 55157 55336 "ALGFACT" 55688 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 53953 54553 54591 "ALGEBRA" 54596 NIL ALGEBRA (NIL T) -9 NIL 54637 NIL) (-37 53671 53730 53862 "ALGEBRA-" 53867 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 35666 51569 51621 "ALAGG" 51757 NIL ALAGG (NIL T T) -9 NIL 51918 NIL) (-35 35202 35315 35341 "AHYP" 35542 T AHYP (NIL) -9 NIL NIL NIL) (-34 34133 34381 34407 "AGG" 34906 T AGG (NIL) -9 NIL 35185 NIL) (-33 33567 33729 33943 "AGG-" 33948 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 31373 31796 32201 "AF" 33209 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 30853 31098 31188 "ADDAST" 31301 T ADDAST (NIL) -8 NIL NIL NIL) (-30 30121 30380 30536 "ACPLOT" 30715 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 18744 27053 27091 "ACFS" 27698 NIL ACFS (NIL T) -9 NIL 27937 NIL) (-28 16771 17261 18023 "ACFS-" 18028 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 12875 14804 14830 "ACF" 15709 T ACF (NIL) -9 NIL 16122 NIL) (-26 11579 11913 12406 "ACF-" 12411 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 11137 11332 11358 "ABELSG" 11450 T ABELSG (NIL) -9 NIL 11515 NIL) (-24 11004 11029 11095 "ABELSG-" 11100 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 10333 10620 10646 "ABELMON" 10816 T ABELMON (NIL) -9 NIL 10928 NIL) (-22 9997 10081 10219 "ABELMON-" 10224 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 9331 9703 9729 "ABELGRP" 9801 T ABELGRP (NIL) -9 NIL 9876 NIL) (-20 8794 8923 9139 "ABELGRP-" 9144 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 3260203 3260208 3260213 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-2 3260188 3260193 3260198 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1 3260173 3260178 3260183 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (0 3260158 3260163 3260168 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1315 3259301 3260033 3260110 "ZMOD" 3260115 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1314 3258355 3258519 3258742 "ZLINDEP" 3259133 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1313 3247655 3249423 3251395 "ZDSOLVE" 3256485 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1312 3246901 3247042 3247231 "YSTREAM" 3247501 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1311 3246329 3246575 3246688 "YDIAGRAM" 3246810 T YDIAGRAM (NIL) -8 NIL NIL NIL) (-1310 3244103 3245630 3245834 "XRPOLY" 3246172 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1309 3240656 3241974 3242549 "XPR" 3243575 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1308 3238377 3239987 3240191 "XPOLY" 3240487 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1307 3236016 3237384 3237439 "XPOLYC" 3237727 NIL XPOLYC (NIL T T) -9 NIL 3237840 NIL) (-1306 3232392 3234533 3234921 "XPBWPOLY" 3235674 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1305 3228073 3230368 3230410 "XF" 3231031 NIL XF (NIL T) -9 NIL 3231431 NIL) (-1304 3227694 3227782 3227951 "XF-" 3227956 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1303 3222876 3224165 3224220 "XFALG" 3226392 NIL XFALG (NIL T T) -9 NIL 3227181 NIL) (-1302 3222009 3222113 3222318 "XEXPPKG" 3222768 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1301 3220118 3221859 3221955 "XDPOLY" 3221960 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1300 3218911 3219511 3219554 "XALG" 3219559 NIL XALG (NIL T) -9 NIL 3219670 NIL) (-1299 3212353 3216888 3217382 "WUTSET" 3218503 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1298 3210609 3211405 3211728 "WP" 3212164 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1297 3210211 3210431 3210501 "WHILEAST" 3210561 T WHILEAST (NIL) -8 NIL NIL NIL) (-1296 3209683 3209928 3210022 "WHEREAST" 3210139 T WHEREAST (NIL) -8 NIL NIL NIL) (-1295 3208569 3208767 3209062 "WFFINTBS" 3209480 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1294 3206473 3206900 3207362 "WEIER" 3208141 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1293 3205505 3205955 3205997 "VSPACE" 3206133 NIL VSPACE (NIL T) -9 NIL 3206207 NIL) (-1292 3205343 3205370 3205461 "VSPACE-" 3205466 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1291 3205152 3205194 3205262 "VOID" 3205297 T VOID (NIL) -8 NIL NIL NIL) (-1290 3203288 3203647 3204053 "VIEW" 3204768 T VIEW (NIL) -7 NIL NIL NIL) (-1289 3199712 3200351 3201088 "VIEWDEF" 3202573 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1288 3189016 3191260 3193433 "VIEW3D" 3197561 T VIEW3D (NIL) -8 NIL NIL NIL) (-1287 3181267 3182927 3184506 "VIEW2D" 3187459 T VIEW2D (NIL) -8 NIL NIL NIL) (-1286 3176622 3181037 3181129 "VECTOR" 3181210 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1285 3175199 3175458 3175776 "VECTOR2" 3176352 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1284 3168623 3172930 3172973 "VECTCAT" 3173968 NIL VECTCAT (NIL T) -9 NIL 3174555 NIL) (-1283 3167637 3167891 3168281 "VECTCAT-" 3168286 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1282 3167091 3167288 3167408 "VARIABLE" 3167552 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1281 3167024 3167029 3167059 "UTYPE" 3167064 T UTYPE (NIL) -9 NIL NIL NIL) (-1280 3165854 3166008 3166270 "UTSODETL" 3166850 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1279 3163294 3163754 3164278 "UTSODE" 3165395 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1278 3155242 3161055 3161535 "UTS" 3162872 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1277 3145806 3151176 3151219 "UTSCAT" 3152331 NIL UTSCAT (NIL T) -9 NIL 3153089 NIL) (-1276 3143154 3143876 3144865 "UTSCAT-" 3144870 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1275 3142781 3142824 3142957 "UTS2" 3143105 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1274 3136981 3139591 3139634 "URAGG" 3141704 NIL URAGG (NIL T) -9 NIL 3142427 NIL) (-1273 3133920 3134783 3135906 "URAGG-" 3135911 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1272 3129629 3132555 3133020 "UPXSSING" 3133584 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1271 3121805 3129011 3129275 "UPXS" 3129423 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1270 3114878 3121709 3121781 "UPXSCONS" 3121786 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1269 3104285 3111081 3111143 "UPXSCCA" 3111717 NIL UPXSCCA (NIL T T) -9 NIL 3111950 NIL) (-1268 3103923 3104008 3104182 "UPXSCCA-" 3104187 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1267 3093182 3099751 3099794 "UPXSCAT" 3100442 NIL UPXSCAT (NIL T) -9 NIL 3101051 NIL) (-1266 3092612 3092691 3092870 "UPXS2" 3093097 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1265 3091266 3091519 3091870 "UPSQFREE" 3092355 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1264 3084474 3087534 3087589 "UPSCAT" 3088669 NIL UPSCAT (NIL T T) -9 NIL 3089434 NIL) (-1263 3083678 3083885 3084212 "UPSCAT-" 3084217 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1262 3068760 3076805 3076848 "UPOLYC" 3078949 NIL UPOLYC (NIL T) -9 NIL 3080170 NIL) (-1261 3060088 3062514 3065661 "UPOLYC-" 3065666 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1260 3059715 3059758 3059891 "UPOLYC2" 3060039 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1259 3051250 3059398 3059527 "UP" 3059634 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1258 3050589 3050696 3050860 "UPMP" 3051139 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1257 3050142 3050223 3050362 "UPDIVP" 3050502 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1256 3048710 3048959 3049275 "UPDECOMP" 3049891 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1255 3047941 3048053 3048239 "UPCDEN" 3048594 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1254 3047460 3047529 3047678 "UP2" 3047866 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1253 3045927 3046664 3046941 "UNISEG" 3047218 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1252 3045142 3045269 3045474 "UNISEG2" 3045770 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1251 3044202 3044382 3044608 "UNIFACT" 3044958 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1250 3026954 3043514 3043756 "ULS" 3044018 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1249 3014584 3026858 3026930 "ULSCONS" 3026935 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1248 2995412 3007772 3007834 "ULSCCAT" 3008472 NIL ULSCCAT (NIL T T) -9 NIL 3008761 NIL) (-1247 2994462 2994707 2995095 "ULSCCAT-" 2995100 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1246 2983526 2990009 2990052 "ULSCAT" 2990915 NIL ULSCAT (NIL T) -9 NIL 2991646 NIL) (-1245 2982956 2983035 2983214 "ULS2" 2983441 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1244 2982075 2982585 2982692 "UINT8" 2982803 T UINT8 (NIL) -8 NIL NIL 2982888) (-1243 2981193 2981703 2981810 "UINT64" 2981921 T UINT64 (NIL) -8 NIL NIL 2982006) (-1242 2980311 2980821 2980928 "UINT32" 2981039 T UINT32 (NIL) -8 NIL NIL 2981124) (-1241 2979429 2979939 2980046 "UINT16" 2980157 T UINT16 (NIL) -8 NIL NIL 2980242) (-1240 2977718 2978675 2978705 "UFD" 2978917 T UFD (NIL) -9 NIL 2979031 NIL) (-1239 2977512 2977558 2977653 "UFD-" 2977658 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1238 2976594 2976777 2976993 "UDVO" 2977318 T UDVO (NIL) -7 NIL NIL NIL) (-1237 2974410 2974819 2975290 "UDPO" 2976158 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1236 2974343 2974348 2974378 "TYPE" 2974383 T TYPE (NIL) -9 NIL NIL NIL) (-1235 2974103 2974298 2974329 "TYPEAST" 2974334 T TYPEAST (NIL) -8 NIL NIL NIL) (-1234 2973074 2973276 2973516 "TWOFACT" 2973897 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1233 2972097 2972483 2972718 "TUPLE" 2972874 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1232 2969788 2970307 2970846 "TUBETOOL" 2971580 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1231 2968637 2968842 2969083 "TUBE" 2969581 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1230 2963366 2967609 2967892 "TS" 2968389 NIL TS (NIL T) -8 NIL NIL NIL) (-1229 2952006 2956125 2956222 "TSETCAT" 2961491 NIL TSETCAT (NIL T T T T) -9 NIL 2963022 NIL) (-1228 2946738 2948338 2950229 "TSETCAT-" 2950234 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1227 2941377 2942224 2943153 "TRMANIP" 2945874 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1226 2940818 2940881 2941044 "TRIMAT" 2941309 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1225 2938684 2938921 2939278 "TRIGMNIP" 2940567 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1224 2938204 2938317 2938347 "TRIGCAT" 2938560 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1223 2937873 2937952 2938093 "TRIGCAT-" 2938098 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1222 2934720 2936731 2937012 "TREE" 2937627 NIL TREE (NIL T) -8 NIL NIL NIL) (-1221 2933994 2934522 2934552 "TRANFUN" 2934587 T TRANFUN (NIL) -9 NIL 2934653 NIL) (-1220 2933273 2933464 2933744 "TRANFUN-" 2933749 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1219 2933077 2933109 2933170 "TOPSP" 2933234 T TOPSP (NIL) -7 NIL NIL NIL) (-1218 2932425 2932540 2932694 "TOOLSIGN" 2932958 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1217 2931059 2931602 2931841 "TEXTFILE" 2932208 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1216 2928971 2929512 2929941 "TEX" 2930652 T TEX (NIL) -8 NIL NIL NIL) (-1215 2928752 2928783 2928855 "TEX1" 2928934 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1214 2928400 2928463 2928553 "TEMUTL" 2928684 T TEMUTL (NIL) -7 NIL NIL NIL) (-1213 2926554 2926834 2927159 "TBCMPPK" 2928123 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1212 2918261 2924640 2924696 "TBAGG" 2925096 NIL TBAGG (NIL T T) -9 NIL 2925307 NIL) (-1211 2913331 2914819 2916573 "TBAGG-" 2916578 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1210 2912715 2912822 2912967 "TANEXP" 2913220 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1209 2912226 2912490 2912580 "TALGOP" 2912660 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1208 2905620 2912083 2912176 "TABLE" 2912181 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1207 2905032 2905131 2905269 "TABLEAU" 2905517 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1206 2899640 2900860 2902108 "TABLBUMP" 2903818 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1205 2898862 2899009 2899190 "SYSTEM" 2899481 T SYSTEM (NIL) -8 NIL NIL NIL) (-1204 2895321 2896020 2896803 "SYSSOLP" 2898113 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1203 2895119 2895276 2895307 "SYSPTR" 2895312 T SYSPTR (NIL) -8 NIL NIL NIL) (-1202 2894155 2894660 2894779 "SYSNNI" 2894965 NIL SYSNNI (NIL NIL) -8 NIL NIL 2895050) (-1201 2893454 2893913 2893992 "SYSINT" 2894052 NIL SYSINT (NIL NIL) -8 NIL NIL 2894097) (-1200 2889786 2890732 2891442 "SYNTAX" 2892766 T SYNTAX (NIL) -8 NIL NIL NIL) (-1199 2886944 2887546 2888178 "SYMTAB" 2889176 T SYMTAB (NIL) -8 NIL NIL NIL) (-1198 2882193 2883095 2884078 "SYMS" 2885983 T SYMS (NIL) -8 NIL NIL NIL) (-1197 2879428 2881651 2881881 "SYMPOLY" 2881998 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1196 2878945 2879020 2879143 "SYMFUNC" 2879340 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1195 2874965 2876257 2877070 "SYMBOL" 2878154 T SYMBOL (NIL) -8 NIL NIL NIL) (-1194 2868504 2870193 2871913 "SWITCH" 2873267 T SWITCH (NIL) -8 NIL NIL NIL) (-1193 2861848 2867460 2867754 "SUTS" 2868268 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1192 2854024 2861230 2861494 "SUPXS" 2861642 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1191 2845507 2853642 2853768 "SUP" 2853933 NIL SUP (NIL T) -8 NIL NIL NIL) (-1190 2844666 2844793 2845010 "SUPFRACF" 2845375 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1189 2844287 2844346 2844459 "SUP2" 2844601 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1188 2842735 2843009 2843365 "SUMRF" 2843986 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1187 2842070 2842136 2842328 "SUMFS" 2842656 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1186 2824857 2841382 2841624 "SULS" 2841886 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1185 2824459 2824679 2824749 "SUCHTAST" 2824809 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1184 2823754 2823984 2824124 "SUCH" 2824367 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1183 2817621 2818660 2819619 "SUBSPACE" 2822842 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1182 2817051 2817141 2817305 "SUBRESP" 2817509 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1181 2810419 2811716 2813027 "STTF" 2815787 NIL STTF (NIL T) -7 NIL NIL NIL) (-1180 2804592 2805712 2806859 "STTFNC" 2809319 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1179 2795905 2797774 2799568 "STTAYLOR" 2802833 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1178 2789039 2795769 2795852 "STRTBL" 2795857 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1177 2783999 2788748 2788847 "STRING" 2788962 T STRING (NIL) -8 NIL NIL NIL) (-1176 2776754 2781618 2782229 "STREAM" 2783423 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1175 2776264 2776341 2776485 "STREAM3" 2776671 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1174 2775246 2775429 2775664 "STREAM2" 2776077 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1173 2774934 2774986 2775079 "STREAM1" 2775188 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1172 2773950 2774131 2774362 "STINPROD" 2774750 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1171 2773488 2773698 2773728 "STEP" 2773808 T STEP (NIL) -9 NIL 2773886 NIL) (-1170 2772675 2772977 2773125 "STEPAST" 2773362 T STEPAST (NIL) -8 NIL NIL NIL) (-1169 2766111 2772574 2772651 "STBL" 2772656 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1168 2761180 2765274 2765317 "STAGG" 2765470 NIL STAGG (NIL T) -9 NIL 2765559 NIL) (-1167 2758882 2759484 2760356 "STAGG-" 2760361 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1166 2757031 2758652 2758744 "STACK" 2758825 NIL STACK (NIL T) -8 NIL NIL NIL) (-1165 2749726 2755172 2755628 "SREGSET" 2756661 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1164 2742151 2743520 2745033 "SRDCMPK" 2748332 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1163 2735016 2739539 2739569 "SRAGG" 2740872 T SRAGG (NIL) -9 NIL 2741480 NIL) (-1162 2734033 2734288 2734667 "SRAGG-" 2734672 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1161 2728217 2732980 2733401 "SQMATRIX" 2733659 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1160 2721904 2724935 2725662 "SPLTREE" 2727562 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1159 2717867 2718560 2719206 "SPLNODE" 2721330 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1158 2716914 2717147 2717177 "SPFCAT" 2717621 T SPFCAT (NIL) -9 NIL NIL NIL) (-1157 2715651 2715861 2716125 "SPECOUT" 2716672 T SPECOUT (NIL) -7 NIL NIL NIL) (-1156 2706747 2708619 2708649 "SPADXPT" 2713325 T SPADXPT (NIL) -9 NIL 2715489 NIL) (-1155 2706508 2706548 2706617 "SPADPRSR" 2706700 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1154 2704557 2706463 2706494 "SPADAST" 2706499 T SPADAST (NIL) -8 NIL NIL NIL) (-1153 2696488 2698261 2698304 "SPACEC" 2702677 NIL SPACEC (NIL T) -9 NIL 2704493 NIL) (-1152 2694618 2696420 2696469 "SPACE3" 2696474 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1151 2693370 2693541 2693832 "SORTPAK" 2694423 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1150 2691462 2691765 2692177 "SOLVETRA" 2693034 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1149 2690512 2690734 2690995 "SOLVESER" 2691235 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1148 2685816 2686704 2687699 "SOLVERAD" 2689564 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1147 2681631 2682240 2682969 "SOLVEFOR" 2685183 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1146 2675901 2680980 2681077 "SNTSCAT" 2681082 NIL SNTSCAT (NIL T T T T) -9 NIL 2681152 NIL) (-1145 2670007 2674224 2674615 "SMTS" 2675591 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1144 2664416 2669895 2669972 "SMP" 2669977 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1143 2662575 2662876 2663274 "SMITH" 2664113 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1142 2654679 2659154 2659257 "SMATCAT" 2660608 NIL SMATCAT (NIL NIL T T T) -9 NIL 2661158 NIL) (-1141 2651619 2652442 2653620 "SMATCAT-" 2653625 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1140 2649259 2650827 2650870 "SKAGG" 2651131 NIL SKAGG (NIL T) -9 NIL 2651266 NIL) (-1139 2645449 2648732 2648916 "SINT" 2649068 T SINT (NIL) -8 NIL NIL 2649230) (-1138 2645221 2645259 2645325 "SIMPAN" 2645405 T SIMPAN (NIL) -7 NIL NIL NIL) (-1137 2644500 2644756 2644896 "SIG" 2645103 T SIG (NIL) -8 NIL NIL NIL) (-1136 2643338 2643559 2643834 "SIGNRF" 2644259 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1135 2642171 2642322 2642606 "SIGNEF" 2643167 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1134 2641477 2641754 2641878 "SIGAST" 2642069 T SIGAST (NIL) -8 NIL NIL NIL) (-1133 2639167 2639621 2640127 "SHP" 2641018 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1132 2632995 2639068 2639144 "SHDP" 2639149 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1131 2632554 2632746 2632776 "SGROUP" 2632869 T SGROUP (NIL) -9 NIL 2632931 NIL) (-1130 2632412 2632438 2632511 "SGROUP-" 2632516 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1129 2629203 2629901 2630624 "SGCF" 2631711 T SGCF (NIL) -7 NIL NIL NIL) (-1128 2623571 2628650 2628747 "SFRTCAT" 2628752 NIL SFRTCAT (NIL T T T T) -9 NIL 2628791 NIL) (-1127 2616992 2618010 2619146 "SFRGCD" 2622554 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1126 2610118 2611191 2612377 "SFQCMPK" 2615925 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1125 2609738 2609827 2609938 "SFORT" 2610059 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1124 2608856 2609578 2609699 "SEXOF" 2609704 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1123 2607963 2608737 2608805 "SEX" 2608810 T SEX (NIL) -8 NIL NIL NIL) (-1122 2603744 2604459 2604554 "SEXCAT" 2607176 NIL SEXCAT (NIL T T T T T) -9 NIL 2607736 NIL) (-1121 2600897 2603678 2603726 "SET" 2603731 NIL SET (NIL T) -8 NIL NIL NIL) (-1120 2599121 2599610 2599915 "SETMN" 2600638 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1119 2598603 2598755 2598785 "SETCAT" 2598961 T SETCAT (NIL) -9 NIL 2599071 NIL) (-1118 2598295 2598373 2598503 "SETCAT-" 2598508 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1117 2594656 2596756 2596799 "SETAGG" 2597669 NIL SETAGG (NIL T) -9 NIL 2598009 NIL) (-1116 2594114 2594230 2594467 "SETAGG-" 2594472 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1115 2593557 2593810 2593911 "SEQAST" 2594035 T SEQAST (NIL) -8 NIL NIL NIL) (-1114 2592756 2593050 2593111 "SEGXCAT" 2593397 NIL SEGXCAT (NIL T T) -9 NIL 2593517 NIL) (-1113 2591762 2592422 2592604 "SEG" 2592609 NIL SEG (NIL T) -8 NIL NIL NIL) (-1112 2590741 2590955 2590998 "SEGCAT" 2591520 NIL SEGCAT (NIL T) -9 NIL 2591741 NIL) (-1111 2589673 2590104 2590312 "SEGBIND" 2590568 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1110 2589294 2589353 2589466 "SEGBIND2" 2589608 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1109 2588867 2589095 2589172 "SEGAST" 2589239 T SEGAST (NIL) -8 NIL NIL NIL) (-1108 2588086 2588212 2588416 "SEG2" 2588711 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1107 2587457 2588021 2588068 "SDVAR" 2588073 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1106 2579708 2587227 2587357 "SDPOL" 2587362 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1105 2578301 2578567 2578886 "SCPKG" 2579423 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1104 2577465 2577637 2577829 "SCOPE" 2578131 T SCOPE (NIL) -8 NIL NIL NIL) (-1103 2576685 2576819 2576998 "SCACHE" 2577320 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1102 2576317 2576503 2576533 "SASTCAT" 2576538 T SASTCAT (NIL) -9 NIL 2576551 NIL) (-1101 2575804 2576152 2576228 "SAOS" 2576263 T SAOS (NIL) -8 NIL NIL NIL) (-1100 2575369 2575404 2575577 "SAERFFC" 2575763 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1099 2569032 2575266 2575346 "SAE" 2575351 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1098 2568625 2568660 2568819 "SAEFACT" 2568991 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1097 2566946 2567260 2567661 "RURPK" 2568291 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1096 2565583 2565889 2566194 "RULESET" 2566780 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1095 2562806 2563336 2563794 "RULE" 2565264 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1094 2562418 2562600 2562683 "RULECOLD" 2562758 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1093 2562208 2562236 2562307 "RTVALUE" 2562369 T RTVALUE (NIL) -8 NIL NIL NIL) (-1092 2561679 2561925 2562019 "RSTRCAST" 2562136 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1091 2556527 2557322 2558242 "RSETGCD" 2560878 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1090 2545757 2550836 2550933 "RSETCAT" 2555052 NIL RSETCAT (NIL T T T T) -9 NIL 2556149 NIL) (-1089 2543684 2544223 2545047 "RSETCAT-" 2545052 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1088 2536070 2537446 2538966 "RSDCMPK" 2542283 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1087 2534035 2534502 2534576 "RRCC" 2535662 NIL RRCC (NIL T T) -9 NIL 2536006 NIL) (-1086 2533386 2533560 2533839 "RRCC-" 2533844 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1085 2532829 2533082 2533183 "RPTAST" 2533307 T RPTAST (NIL) -8 NIL NIL NIL) (-1084 2506305 2515941 2516008 "RPOLCAT" 2526674 NIL RPOLCAT (NIL T T T) -9 NIL 2529834 NIL) (-1083 2497803 2500143 2503265 "RPOLCAT-" 2503270 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1082 2488738 2496014 2496496 "ROUTINE" 2497343 T ROUTINE (NIL) -8 NIL NIL NIL) (-1081 2485399 2488364 2488504 "ROMAN" 2488620 T ROMAN (NIL) -8 NIL NIL NIL) (-1080 2483643 2484259 2484519 "ROIRC" 2485204 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1079 2479861 2482145 2482175 "RNS" 2482479 T RNS (NIL) -9 NIL 2482753 NIL) (-1078 2478370 2478753 2479287 "RNS-" 2479362 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1077 2477759 2478167 2478197 "RNG" 2478202 T RNG (NIL) -9 NIL 2478223 NIL) (-1076 2476762 2477124 2477326 "RNGBIND" 2477610 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1075 2476147 2476535 2476578 "RMODULE" 2476583 NIL RMODULE (NIL T) -9 NIL 2476610 NIL) (-1074 2474983 2475077 2475413 "RMCAT2" 2476048 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1073 2471833 2474329 2474626 "RMATRIX" 2474745 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1072 2464660 2466920 2467035 "RMATCAT" 2470394 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2471376 NIL) (-1071 2464035 2464182 2464489 "RMATCAT-" 2464494 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1070 2463650 2463822 2463865 "RLINSET" 2463927 NIL RLINSET (NIL T) -9 NIL 2463971 NIL) (-1069 2463217 2463292 2463420 "RINTERP" 2463569 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1068 2462261 2462815 2462845 "RING" 2462901 T RING (NIL) -9 NIL 2462993 NIL) (-1067 2462053 2462097 2462194 "RING-" 2462199 NIL RING- (NIL T) -8 NIL NIL NIL) (-1066 2460894 2461131 2461389 "RIDIST" 2461817 T RIDIST (NIL) -7 NIL NIL NIL) (-1065 2452183 2460362 2460568 "RGCHAIN" 2460742 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1064 2451519 2451925 2451966 "RGBCSPC" 2452024 NIL RGBCSPC (NIL T) -9 NIL 2452076 NIL) (-1063 2450663 2451044 2451085 "RGBCMDL" 2451317 NIL RGBCMDL (NIL T) -9 NIL 2451431 NIL) (-1062 2447657 2448271 2448941 "RF" 2450027 NIL RF (NIL T) -7 NIL NIL NIL) (-1061 2447303 2447366 2447469 "RFFACTOR" 2447588 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1060 2447028 2447063 2447160 "RFFACT" 2447262 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1059 2445145 2445509 2445891 "RFDIST" 2446668 T RFDIST (NIL) -7 NIL NIL NIL) (-1058 2444598 2444690 2444853 "RETSOL" 2445047 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1057 2444234 2444314 2444357 "RETRACT" 2444490 NIL RETRACT (NIL T) -9 NIL 2444577 NIL) (-1056 2444083 2444108 2444195 "RETRACT-" 2444200 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1055 2443685 2443905 2443975 "RETAST" 2444035 T RETAST (NIL) -8 NIL NIL NIL) (-1054 2436427 2443338 2443465 "RESULT" 2443580 T RESULT (NIL) -8 NIL NIL NIL) (-1053 2435018 2435696 2435895 "RESRING" 2436330 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1052 2434654 2434703 2434801 "RESLATC" 2434955 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1051 2434359 2434394 2434501 "REPSQ" 2434613 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1050 2431781 2432361 2432963 "REP" 2433779 T REP (NIL) -7 NIL NIL NIL) (-1049 2431478 2431513 2431624 "REPDB" 2431740 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1048 2425378 2426767 2427990 "REP2" 2430290 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1047 2421755 2422436 2423244 "REP1" 2424605 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1046 2414451 2419896 2420352 "REGSET" 2421385 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1045 2413216 2413599 2413849 "REF" 2414236 NIL REF (NIL T) -8 NIL NIL NIL) (-1044 2412593 2412696 2412863 "REDORDER" 2413100 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1043 2408561 2411806 2412033 "RECLOS" 2412421 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1042 2407613 2407794 2408009 "REALSOLV" 2408368 T REALSOLV (NIL) -7 NIL NIL NIL) (-1041 2407459 2407500 2407530 "REAL" 2407535 T REAL (NIL) -9 NIL 2407570 NIL) (-1040 2403942 2404744 2405628 "REAL0Q" 2406624 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1039 2399543 2400531 2401592 "REAL0" 2402923 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1038 2399014 2399260 2399354 "RDUCEAST" 2399471 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1037 2398419 2398491 2398698 "RDIV" 2398936 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1036 2397487 2397661 2397874 "RDIST" 2398241 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1035 2396084 2396371 2396743 "RDETRS" 2397195 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1034 2393896 2394350 2394888 "RDETR" 2395626 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1033 2392521 2392799 2393196 "RDEEFS" 2393612 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1032 2391030 2391336 2391761 "RDEEF" 2392209 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1031 2385077 2387997 2388027 "RCFIELD" 2389322 T RCFIELD (NIL) -9 NIL 2390053 NIL) (-1030 2383141 2383645 2384341 "RCFIELD-" 2384416 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1029 2379384 2381214 2381257 "RCAGG" 2382341 NIL RCAGG (NIL T) -9 NIL 2382806 NIL) (-1028 2379012 2379106 2379269 "RCAGG-" 2379274 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1027 2378347 2378459 2378624 "RATRET" 2378896 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1026 2377900 2377967 2378088 "RATFACT" 2378275 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1025 2377208 2377328 2377480 "RANDSRC" 2377770 T RANDSRC (NIL) -7 NIL NIL NIL) (-1024 2376942 2376986 2377059 "RADUTIL" 2377157 T RADUTIL (NIL) -7 NIL NIL NIL) (-1023 2369770 2375773 2376084 "RADIX" 2376665 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1022 2360230 2369612 2369742 "RADFF" 2369747 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-1021 2359877 2359952 2359982 "RADCAT" 2360142 T RADCAT (NIL) -9 NIL NIL NIL) (-1020 2359659 2359707 2359807 "RADCAT-" 2359812 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-1019 2357759 2359429 2359521 "QUEUE" 2359602 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-1018 2354020 2357692 2357740 "QUAT" 2357745 NIL QUAT (NIL T) -8 NIL NIL NIL) (-1017 2353651 2353694 2353825 "QUATCT2" 2353971 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-1016 2346477 2350101 2350143 "QUATCAT" 2350934 NIL QUATCAT (NIL T) -9 NIL 2351700 NIL) (-1015 2342616 2343653 2345043 "QUATCAT-" 2345139 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-1014 2340055 2341664 2341707 "QUAGG" 2342088 NIL QUAGG (NIL T) -9 NIL 2342263 NIL) (-1013 2339657 2339877 2339947 "QQUTAST" 2340007 T QQUTAST (NIL) -8 NIL NIL NIL) (-1012 2338670 2339170 2339335 "QFORM" 2339538 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-1011 2329057 2334572 2334614 "QFCAT" 2335282 NIL QFCAT (NIL T) -9 NIL 2336283 NIL) (-1010 2324624 2325825 2327419 "QFCAT-" 2327515 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-1009 2324255 2324298 2324429 "QFCAT2" 2324575 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-1008 2323710 2323820 2323952 "QEQUAT" 2324145 T QEQUAT (NIL) -8 NIL NIL NIL) (-1007 2316836 2317909 2319095 "QCMPACK" 2322643 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-1006 2314374 2314822 2315252 "QALGSET" 2316491 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-1005 2313609 2313785 2314021 "QALGSET2" 2314192 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-1004 2312294 2312518 2312837 "PWFFINTB" 2313382 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-1003 2310469 2310637 2310993 "PUSHVAR" 2312108 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-1002 2306358 2307412 2307455 "PTRANFN" 2309366 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-1001 2304749 2305040 2305364 "PTPACK" 2306069 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-1000 2304378 2304435 2304546 "PTFUNC2" 2304686 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-999 2298805 2303200 2303241 "PTCAT" 2303537 NIL PTCAT (NIL T) -9 NIL 2303690 NIL) (-998 2298463 2298498 2298622 "PSQFR" 2298764 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-997 2297058 2297356 2297690 "PSEUDLIN" 2298161 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-996 2283821 2286192 2288516 "PSETPK" 2294818 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-995 2276839 2279579 2279675 "PSETCAT" 2282696 NIL PSETCAT (NIL T T T T) -9 NIL 2283510 NIL) (-994 2274675 2275309 2276130 "PSETCAT-" 2276135 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-993 2274024 2274189 2274217 "PSCURVE" 2274485 T PSCURVE (NIL) -9 NIL 2274652 NIL) (-992 2270008 2271524 2271589 "PSCAT" 2272433 NIL PSCAT (NIL T T T) -9 NIL 2272673 NIL) (-991 2269071 2269287 2269687 "PSCAT-" 2269692 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-990 2267430 2268140 2268403 "PRTITION" 2268828 T PRTITION (NIL) -8 NIL NIL NIL) (-989 2266905 2267151 2267243 "PRTDAST" 2267358 T PRTDAST (NIL) -8 NIL NIL NIL) (-988 2255995 2258209 2260397 "PRS" 2264767 NIL PRS (NIL T T) -7 NIL NIL NIL) (-987 2253780 2255317 2255357 "PRQAGG" 2255540 NIL PRQAGG (NIL T) -9 NIL 2255642 NIL) (-986 2253116 2253421 2253449 "PROPLOG" 2253588 T PROPLOG (NIL) -9 NIL 2253703 NIL) (-985 2252720 2252777 2252900 "PROPFUN2" 2253039 NIL PROPFUN2 (NIL T T) -8 NIL NIL NIL) (-984 2252035 2252156 2252328 "PROPFUN1" 2252581 NIL PROPFUN1 (NIL T) -8 NIL NIL NIL) (-983 2250216 2250782 2251079 "PROPFRML" 2251771 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-982 2249685 2249792 2249920 "PROPERTY" 2250108 T PROPERTY (NIL) -8 NIL NIL NIL) (-981 2243743 2247851 2248671 "PRODUCT" 2248911 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-980 2241021 2243201 2243435 "PR" 2243554 NIL PR (NIL T T) -8 NIL NIL NIL) (-979 2240817 2240849 2240908 "PRINT" 2240982 T PRINT (NIL) -7 NIL NIL NIL) (-978 2240157 2240274 2240426 "PRIMES" 2240697 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-977 2238222 2238623 2239089 "PRIMELT" 2239736 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-976 2237951 2238000 2238028 "PRIMCAT" 2238152 T PRIMCAT (NIL) -9 NIL NIL NIL) (-975 2234068 2237889 2237934 "PRIMARR" 2237939 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-974 2233075 2233253 2233481 "PRIMARR2" 2233886 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-973 2232718 2232774 2232885 "PREASSOC" 2233013 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-972 2232193 2232326 2232354 "PPCURVE" 2232559 T PPCURVE (NIL) -9 NIL 2232695 NIL) (-971 2231788 2231988 2232071 "PORTNUM" 2232130 T PORTNUM (NIL) -8 NIL NIL NIL) (-970 2229147 2229546 2230138 "POLYROOT" 2231369 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-969 2223053 2228751 2228911 "POLY" 2229020 NIL POLY (NIL T) -8 NIL NIL NIL) (-968 2222436 2222494 2222728 "POLYLIFT" 2222989 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-967 2218711 2219160 2219789 "POLYCATQ" 2221981 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-966 2205053 2210458 2210523 "POLYCAT" 2214037 NIL POLYCAT (NIL T T T) -9 NIL 2215915 NIL) (-965 2198502 2200364 2202748 "POLYCAT-" 2202753 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-964 2198089 2198157 2198277 "POLY2UP" 2198428 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-963 2197721 2197778 2197887 "POLY2" 2198026 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-962 2196406 2196645 2196921 "POLUTIL" 2197495 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-961 2194761 2195038 2195369 "POLTOPOL" 2196128 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-960 2190228 2194697 2194743 "POINT" 2194748 NIL POINT (NIL T) -8 NIL NIL NIL) (-959 2188415 2188772 2189147 "PNTHEORY" 2189873 T PNTHEORY (NIL) -7 NIL NIL NIL) (-958 2186873 2187170 2187569 "PMTOOLS" 2188113 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-957 2186466 2186544 2186661 "PMSYM" 2186789 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-956 2185974 2186043 2186218 "PMQFCAT" 2186391 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-955 2185329 2185439 2185595 "PMPRED" 2185851 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-954 2184722 2184808 2184970 "PMPREDFS" 2185230 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-953 2183386 2183594 2183972 "PMPLCAT" 2184484 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-952 2182918 2182997 2183149 "PMLSAGG" 2183301 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-951 2182391 2182467 2182649 "PMKERNEL" 2182836 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-950 2182008 2182083 2182196 "PMINS" 2182310 NIL PMINS (NIL T) -7 NIL NIL NIL) (-949 2181450 2181519 2181728 "PMFS" 2181933 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-948 2180678 2180796 2181001 "PMDOWN" 2181327 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-947 2179845 2180003 2180184 "PMASS" 2180517 T PMASS (NIL) -7 NIL NIL NIL) (-946 2179118 2179228 2179391 "PMASSFS" 2179732 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-945 2178773 2178841 2178935 "PLOTTOOL" 2179044 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-944 2173380 2174584 2175732 "PLOT" 2177645 T PLOT (NIL) -8 NIL NIL NIL) (-943 2169184 2170228 2171149 "PLOT3D" 2172479 T PLOT3D (NIL) -8 NIL NIL NIL) (-942 2168096 2168273 2168508 "PLOT1" 2168988 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-941 2143487 2148162 2153013 "PLEQN" 2163362 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-940 2142805 2142927 2143107 "PINTERP" 2143352 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-939 2142498 2142545 2142648 "PINTERPA" 2142752 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-938 2141714 2142262 2142349 "PI" 2142389 T PI (NIL) -8 NIL NIL 2142456) (-937 2139997 2140972 2141000 "PID" 2141182 T PID (NIL) -9 NIL 2141316 NIL) (-936 2139748 2139785 2139860 "PICOERCE" 2139954 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-935 2139068 2139207 2139383 "PGROEB" 2139604 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-934 2134655 2135469 2136374 "PGE" 2138183 T PGE (NIL) -7 NIL NIL NIL) (-933 2132778 2133025 2133391 "PGCD" 2134372 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-932 2132116 2132219 2132380 "PFRPAC" 2132662 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-931 2128756 2130664 2131017 "PFR" 2131795 NIL PFR (NIL T) -8 NIL NIL NIL) (-930 2127145 2127389 2127714 "PFOTOOLS" 2128503 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-929 2125678 2125917 2126268 "PFOQ" 2126902 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-928 2124179 2124391 2124747 "PFO" 2125462 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-927 2120732 2124068 2124137 "PF" 2124142 NIL PF (NIL NIL) -8 NIL NIL NIL) (-926 2118052 2119323 2119351 "PFECAT" 2119936 T PFECAT (NIL) -9 NIL 2120320 NIL) (-925 2117497 2117651 2117865 "PFECAT-" 2117870 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-924 2116100 2116352 2116653 "PFBRU" 2117246 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-923 2113966 2114318 2114750 "PFBR" 2115751 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-922 2110012 2111478 2112125 "PERM" 2113352 NIL PERM (NIL T) -8 NIL NIL NIL) (-921 2105246 2106219 2107089 "PERMGRP" 2109175 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-920 2103365 2104325 2104366 "PERMCAT" 2104766 NIL PERMCAT (NIL T) -9 NIL 2105064 NIL) (-919 2103018 2103059 2103183 "PERMAN" 2103318 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-918 2100508 2102683 2102805 "PENDTREE" 2102929 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-917 2099437 2099652 2099693 "PDSPC" 2100226 NIL PDSPC (NIL T) -9 NIL 2100471 NIL) (-916 2098540 2098758 2099120 "PDSPC-" 2099125 NIL PDSPC- (NIL T T) -8 NIL NIL NIL) (-915 2097422 2098190 2098231 "PDRING" 2098236 NIL PDRING (NIL T) -9 NIL 2098264 NIL) (-914 2096309 2096927 2096981 "PDMOD" 2096986 NIL PDMOD (NIL T T) -9 NIL 2097090 NIL) (-913 2093524 2094302 2094970 "PDEPROB" 2095661 T PDEPROB (NIL) -8 NIL NIL NIL) (-912 2091069 2091573 2092128 "PDEPACK" 2092989 T PDEPACK (NIL) -7 NIL NIL NIL) (-911 2089981 2090171 2090422 "PDECOMP" 2090868 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-910 2087546 2088389 2088417 "PDECAT" 2089204 T PDECAT (NIL) -9 NIL 2089917 NIL) (-909 2087175 2087230 2087284 "PDDOM" 2087449 NIL PDDOM (NIL T T) -9 NIL 2087529 NIL) (-908 2086994 2087024 2087131 "PDDOM-" 2087136 NIL PDDOM- (NIL T T T) -8 NIL NIL NIL) (-907 2086745 2086778 2086868 "PCOMP" 2086955 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-906 2084923 2085546 2085843 "PBWLB" 2086474 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-905 2077396 2078996 2080334 "PATTERN" 2083606 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-904 2077028 2077085 2077194 "PATTERN2" 2077333 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-903 2074785 2075173 2075630 "PATTERN1" 2076617 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-902 2072153 2072734 2073215 "PATRES" 2074350 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-901 2071717 2071784 2071916 "PATRES2" 2072080 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-900 2069600 2070005 2070412 "PATMATCH" 2071384 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-899 2069096 2069305 2069346 "PATMAB" 2069453 NIL PATMAB (NIL T) -9 NIL 2069536 NIL) (-898 2067614 2067950 2068208 "PATLRES" 2068901 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-897 2067160 2067283 2067324 "PATAB" 2067329 NIL PATAB (NIL T) -9 NIL 2067501 NIL) (-896 2065342 2065737 2066160 "PARTPERM" 2066757 T PARTPERM (NIL) -7 NIL NIL NIL) (-895 2064963 2065026 2065128 "PARSURF" 2065273 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-894 2064595 2064652 2064761 "PARSU2" 2064900 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-893 2064359 2064399 2064466 "PARSER" 2064548 T PARSER (NIL) -7 NIL NIL NIL) (-892 2063980 2064043 2064145 "PARSCURV" 2064290 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-891 2063612 2063669 2063778 "PARSC2" 2063917 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-890 2063251 2063309 2063406 "PARPCURV" 2063548 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-889 2062883 2062940 2063049 "PARPC2" 2063188 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-888 2061944 2062256 2062438 "PARAMAST" 2062721 T PARAMAST (NIL) -8 NIL NIL NIL) (-887 2061464 2061550 2061669 "PAN2EXPR" 2061845 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-886 2060241 2060585 2060813 "PALETTE" 2061256 T PALETTE (NIL) -8 NIL NIL NIL) (-885 2058634 2059246 2059606 "PAIR" 2059927 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-884 2052226 2057891 2058086 "PADICRC" 2058488 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-883 2045142 2051570 2051755 "PADICRAT" 2052073 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-882 2043457 2045079 2045124 "PADIC" 2045129 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-881 2040553 2042117 2042157 "PADICCT" 2042738 NIL PADICCT (NIL NIL) -9 NIL 2043020 NIL) (-880 2039510 2039710 2039978 "PADEPAC" 2040340 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-879 2038722 2038855 2039061 "PADE" 2039372 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-878 2037109 2037930 2038210 "OWP" 2038526 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-877 2036602 2036815 2036912 "OVERSET" 2037032 T OVERSET (NIL) -8 NIL NIL NIL) (-876 2035648 2036207 2036379 "OVAR" 2036470 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-875 2034912 2035033 2035194 "OUT" 2035507 T OUT (NIL) -7 NIL NIL NIL) (-874 2023784 2026021 2028221 "OUTFORM" 2032732 T OUTFORM (NIL) -8 NIL NIL NIL) (-873 2023120 2023381 2023508 "OUTBFILE" 2023677 T OUTBFILE (NIL) -8 NIL NIL NIL) (-872 2022427 2022592 2022620 "OUTBCON" 2022938 T OUTBCON (NIL) -9 NIL 2023104 NIL) (-871 2022028 2022140 2022297 "OUTBCON-" 2022302 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-870 2021408 2021757 2021846 "OSI" 2021959 T OSI (NIL) -8 NIL NIL NIL) (-869 2020924 2021262 2021290 "OSGROUP" 2021295 T OSGROUP (NIL) -9 NIL 2021317 NIL) (-868 2019669 2019896 2020181 "ORTHPOL" 2020671 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-867 2017220 2019504 2019625 "OREUP" 2019630 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-866 2014623 2016911 2017038 "ORESUP" 2017162 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-865 2012151 2012651 2013212 "OREPCTO" 2014112 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-864 2005823 2008024 2008065 "OREPCAT" 2010413 NIL OREPCAT (NIL T) -9 NIL 2011517 NIL) (-863 2002970 2003752 2004810 "OREPCAT-" 2004815 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-862 2002107 2002405 2002433 "ORDSET" 2002742 T ORDSET (NIL) -9 NIL 2002906 NIL) (-861 2001538 2001686 2001910 "ORDSET-" 2001915 NIL ORDSET- (NIL T) -8 NIL NIL NIL) (-860 2000089 2000880 2000908 "ORDRING" 2001110 T ORDRING (NIL) -9 NIL 2001235 NIL) (-859 1999734 1999828 1999972 "ORDRING-" 1999977 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-858 1999100 1999563 1999591 "ORDMON" 1999596 T ORDMON (NIL) -9 NIL 1999617 NIL) (-857 1998262 1998409 1998604 "ORDFUNS" 1998949 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-856 1997586 1998005 1998033 "ORDFIN" 1998098 T ORDFIN (NIL) -9 NIL 1998172 NIL) (-855 1994145 1996172 1996581 "ORDCOMP" 1997210 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-854 1993411 1993538 1993724 "ORDCOMP2" 1994005 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-853 1989992 1990902 1991716 "OPTPROB" 1992617 T OPTPROB (NIL) -8 NIL NIL NIL) (-852 1986794 1987433 1988137 "OPTPACK" 1989308 T OPTPACK (NIL) -7 NIL NIL NIL) (-851 1984467 1985233 1985261 "OPTCAT" 1986080 T OPTCAT (NIL) -9 NIL 1986730 NIL) (-850 1983851 1984144 1984249 "OPSIG" 1984382 T OPSIG (NIL) -8 NIL NIL NIL) (-849 1983619 1983658 1983724 "OPQUERY" 1983805 T OPQUERY (NIL) -7 NIL NIL NIL) (-848 1980750 1981930 1982434 "OP" 1983148 NIL OP (NIL T) -8 NIL NIL NIL) (-847 1980110 1980336 1980377 "OPERCAT" 1980589 NIL OPERCAT (NIL T) -9 NIL 1980686 NIL) (-846 1979865 1979921 1980038 "OPERCAT-" 1980043 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-845 1976678 1978662 1979031 "ONECOMP" 1979529 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-844 1975983 1976098 1976272 "ONECOMP2" 1976550 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-843 1975402 1975508 1975638 "OMSERVER" 1975873 T OMSERVER (NIL) -7 NIL NIL NIL) (-842 1972264 1974842 1974882 "OMSAGG" 1974943 NIL OMSAGG (NIL T) -9 NIL 1975007 NIL) (-841 1970887 1971150 1971432 "OMPKG" 1972002 T OMPKG (NIL) -7 NIL NIL NIL) (-840 1970317 1970420 1970448 "OM" 1970747 T OM (NIL) -9 NIL NIL NIL) (-839 1968864 1969866 1970035 "OMLO" 1970198 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-838 1967824 1967971 1968191 "OMEXPR" 1968690 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-837 1967115 1967370 1967506 "OMERR" 1967708 T OMERR (NIL) -8 NIL NIL NIL) (-836 1966266 1966536 1966696 "OMERRK" 1966975 T OMERRK (NIL) -8 NIL NIL NIL) (-835 1965717 1965943 1966051 "OMENC" 1966178 T OMENC (NIL) -8 NIL NIL NIL) (-834 1959612 1960797 1961968 "OMDEV" 1964566 T OMDEV (NIL) -8 NIL NIL NIL) (-833 1958681 1958852 1959046 "OMCONN" 1959438 T OMCONN (NIL) -8 NIL NIL NIL) (-832 1957188 1958164 1958192 "OINTDOM" 1958197 T OINTDOM (NIL) -9 NIL 1958218 NIL) (-831 1954526 1955876 1956213 "OFMONOID" 1956883 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-830 1953898 1954463 1954508 "ODVAR" 1954513 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-829 1951321 1953643 1953798 "ODR" 1953803 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-828 1943626 1951097 1951223 "ODPOL" 1951228 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-827 1937424 1943498 1943603 "ODP" 1943608 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-826 1936190 1936405 1936680 "ODETOOLS" 1937198 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-825 1933157 1933815 1934531 "ODESYS" 1935523 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-824 1928039 1928947 1929972 "ODERTRIC" 1932232 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-823 1927465 1927547 1927741 "ODERED" 1927951 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-822 1924353 1924901 1925578 "ODERAT" 1926888 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-821 1921312 1921777 1922374 "ODEPRRIC" 1923882 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-820 1919255 1919851 1920337 "ODEPROB" 1920846 T ODEPROB (NIL) -8 NIL NIL NIL) (-819 1915775 1916260 1916907 "ODEPRIM" 1918734 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-818 1915024 1915126 1915386 "ODEPAL" 1915667 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-817 1911186 1911977 1912841 "ODEPACK" 1914180 T ODEPACK (NIL) -7 NIL NIL NIL) (-816 1910247 1910354 1910576 "ODEINT" 1911075 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-815 1904348 1905773 1907220 "ODEIFTBL" 1908820 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-814 1899746 1900532 1901484 "ODEEF" 1903507 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-813 1899095 1899184 1899407 "ODECONST" 1899651 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-812 1897206 1897867 1897895 "ODECAT" 1898500 T ODECAT (NIL) -9 NIL 1899031 NIL) (-811 1894061 1896911 1897033 "OCT" 1897116 NIL OCT (NIL T) -8 NIL NIL NIL) (-810 1893699 1893742 1893869 "OCTCT2" 1894012 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-809 1888334 1890769 1890809 "OC" 1891906 NIL OC (NIL T) -9 NIL 1892764 NIL) (-808 1885561 1886309 1887299 "OC-" 1887393 NIL OC- (NIL T T) -8 NIL NIL NIL) (-807 1884899 1885367 1885395 "OCAMON" 1885400 T OCAMON (NIL) -9 NIL 1885421 NIL) (-806 1884416 1884757 1884785 "OASGP" 1884790 T OASGP (NIL) -9 NIL 1884810 NIL) (-805 1883663 1884152 1884180 "OAMONS" 1884220 T OAMONS (NIL) -9 NIL 1884263 NIL) (-804 1883063 1883496 1883524 "OAMON" 1883529 T OAMON (NIL) -9 NIL 1883549 NIL) (-803 1882307 1882825 1882853 "OAGROUP" 1882858 T OAGROUP (NIL) -9 NIL 1882878 NIL) (-802 1881997 1882047 1882135 "NUMTUBE" 1882251 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-801 1875570 1877088 1878624 "NUMQUAD" 1880481 T NUMQUAD (NIL) -7 NIL NIL NIL) (-800 1871326 1872314 1873339 "NUMODE" 1874565 T NUMODE (NIL) -7 NIL NIL NIL) (-799 1868667 1869547 1869575 "NUMINT" 1870498 T NUMINT (NIL) -9 NIL 1871262 NIL) (-798 1867615 1867812 1868030 "NUMFMT" 1868469 T NUMFMT (NIL) -7 NIL NIL NIL) (-797 1853974 1856919 1859451 "NUMERIC" 1865122 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-796 1848344 1853423 1853518 "NTSCAT" 1853523 NIL NTSCAT (NIL T T T T) -9 NIL 1853562 NIL) (-795 1847538 1847703 1847896 "NTPOLFN" 1848183 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-794 1835339 1844363 1845175 "NSUP" 1846759 NIL NSUP (NIL T) -8 NIL NIL NIL) (-793 1834971 1835028 1835137 "NSUP2" 1835276 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-792 1824921 1834745 1834878 "NSMP" 1834883 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-791 1823353 1823654 1824011 "NREP" 1824609 NIL NREP (NIL T) -7 NIL NIL NIL) (-790 1821944 1822196 1822554 "NPCOEF" 1823096 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-789 1821010 1821125 1821341 "NORMRETR" 1821825 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-788 1819051 1819341 1819750 "NORMPK" 1820718 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-787 1818736 1818764 1818888 "NORMMA" 1819017 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-786 1818536 1818693 1818722 "NONE" 1818727 T NONE (NIL) -8 NIL NIL NIL) (-785 1818325 1818354 1818423 "NONE1" 1818500 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-784 1817822 1817884 1818063 "NODE1" 1818257 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-783 1816103 1816954 1817209 "NNI" 1817556 T NNI (NIL) -8 NIL NIL 1817791) (-782 1814523 1814836 1815200 "NLINSOL" 1815771 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-781 1810764 1811759 1812658 "NIPROB" 1813644 T NIPROB (NIL) -8 NIL NIL NIL) (-780 1809521 1809755 1810057 "NFINTBAS" 1810526 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-779 1808695 1809171 1809212 "NETCLT" 1809384 NIL NETCLT (NIL T) -9 NIL 1809466 NIL) (-778 1807403 1807634 1807915 "NCODIV" 1808463 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-777 1807165 1807202 1807277 "NCNTFRAC" 1807360 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-776 1805345 1805709 1806129 "NCEP" 1806790 NIL NCEP (NIL T) -7 NIL NIL NIL) (-775 1804182 1804955 1804983 "NASRING" 1805093 T NASRING (NIL) -9 NIL 1805173 NIL) (-774 1803977 1804021 1804115 "NASRING-" 1804120 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-773 1803070 1803595 1803623 "NARNG" 1803740 T NARNG (NIL) -9 NIL 1803831 NIL) (-772 1802762 1802829 1802963 "NARNG-" 1802968 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-771 1801641 1801848 1802083 "NAGSP" 1802547 T NAGSP (NIL) -7 NIL NIL NIL) (-770 1792913 1794597 1796270 "NAGS" 1799988 T NAGS (NIL) -7 NIL NIL NIL) (-769 1791461 1791769 1792100 "NAGF07" 1792602 T NAGF07 (NIL) -7 NIL NIL NIL) (-768 1785999 1787290 1788597 "NAGF04" 1790174 T NAGF04 (NIL) -7 NIL NIL NIL) (-767 1778967 1780581 1782214 "NAGF02" 1784386 T NAGF02 (NIL) -7 NIL NIL NIL) (-766 1774191 1775291 1776408 "NAGF01" 1777870 T NAGF01 (NIL) -7 NIL NIL NIL) (-765 1767819 1769385 1770970 "NAGE04" 1772626 T NAGE04 (NIL) -7 NIL NIL NIL) (-764 1758988 1761109 1763239 "NAGE02" 1765709 T NAGE02 (NIL) -7 NIL NIL NIL) (-763 1754941 1755888 1756852 "NAGE01" 1758044 T NAGE01 (NIL) -7 NIL NIL NIL) (-762 1752736 1753270 1753828 "NAGD03" 1754403 T NAGD03 (NIL) -7 NIL NIL NIL) (-761 1744486 1746414 1748368 "NAGD02" 1750802 T NAGD02 (NIL) -7 NIL NIL NIL) (-760 1738297 1739722 1741162 "NAGD01" 1743066 T NAGD01 (NIL) -7 NIL NIL NIL) (-759 1734506 1735328 1736165 "NAGC06" 1737480 T NAGC06 (NIL) -7 NIL NIL NIL) (-758 1732971 1733303 1733659 "NAGC05" 1734170 T NAGC05 (NIL) -7 NIL NIL NIL) (-757 1732347 1732466 1732610 "NAGC02" 1732847 T NAGC02 (NIL) -7 NIL NIL NIL) (-756 1731292 1731875 1731915 "NAALG" 1731994 NIL NAALG (NIL T) -9 NIL 1732055 NIL) (-755 1731127 1731156 1731246 "NAALG-" 1731251 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-754 1725077 1726185 1727372 "MULTSQFR" 1730023 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-753 1724396 1724471 1724655 "MULTFACT" 1724989 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-752 1717067 1720981 1721034 "MTSCAT" 1722104 NIL MTSCAT (NIL T T) -9 NIL 1722619 NIL) (-751 1716779 1716833 1716925 "MTHING" 1717007 NIL MTHING (NIL T) -7 NIL NIL NIL) (-750 1716571 1716604 1716664 "MSYSCMD" 1716739 T MSYSCMD (NIL) -7 NIL NIL NIL) (-749 1712653 1715326 1715646 "MSET" 1716284 NIL MSET (NIL T) -8 NIL NIL NIL) (-748 1709722 1712214 1712255 "MSETAGG" 1712260 NIL MSETAGG (NIL T) -9 NIL 1712294 NIL) (-747 1705564 1707101 1707846 "MRING" 1709022 NIL MRING (NIL T T) -8 NIL NIL NIL) (-746 1705130 1705197 1705328 "MRF2" 1705491 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-745 1704748 1704783 1704927 "MRATFAC" 1705089 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-744 1702360 1702655 1703086 "MPRFF" 1704453 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-743 1696381 1702214 1702311 "MPOLY" 1702316 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-742 1695871 1695906 1696114 "MPCPF" 1696340 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-741 1695385 1695428 1695612 "MPC3" 1695822 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-740 1694580 1694661 1694882 "MPC2" 1695300 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-739 1692881 1693218 1693608 "MONOTOOL" 1694240 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-738 1692092 1692409 1692437 "MONOID" 1692656 T MONOID (NIL) -9 NIL 1692803 NIL) (-737 1691638 1691757 1691938 "MONOID-" 1691943 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-736 1681228 1687458 1687517 "MONOGEN" 1688191 NIL MONOGEN (NIL T T) -9 NIL 1688647 NIL) (-735 1678446 1679181 1680181 "MONOGEN-" 1680300 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-734 1677265 1677711 1677739 "MONADWU" 1678131 T MONADWU (NIL) -9 NIL 1678369 NIL) (-733 1676637 1676796 1677044 "MONADWU-" 1677049 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-732 1675982 1676226 1676254 "MONAD" 1676461 T MONAD (NIL) -9 NIL 1676573 NIL) (-731 1675667 1675745 1675877 "MONAD-" 1675882 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-730 1673956 1674580 1674859 "MOEBIUS" 1675420 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-729 1673220 1673624 1673664 "MODULE" 1673669 NIL MODULE (NIL T) -9 NIL 1673708 NIL) (-728 1672788 1672884 1673074 "MODULE-" 1673079 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-727 1670468 1671152 1671479 "MODRING" 1672612 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-726 1667412 1668573 1669094 "MODOP" 1669997 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-725 1666000 1666479 1666756 "MODMONOM" 1667275 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-724 1655768 1664291 1664705 "MODMON" 1665637 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-723 1652924 1654612 1654888 "MODFIELD" 1655643 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-722 1651901 1652205 1652395 "MMLFORM" 1652754 T MMLFORM (NIL) -8 NIL NIL NIL) (-721 1651427 1651470 1651649 "MMAP" 1651852 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-720 1649492 1650259 1650300 "MLO" 1650723 NIL MLO (NIL T) -9 NIL 1650965 NIL) (-719 1646858 1647374 1647976 "MLIFT" 1648973 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-718 1646249 1646333 1646487 "MKUCFUNC" 1646769 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-717 1645848 1645918 1646041 "MKRECORD" 1646172 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-716 1644895 1645057 1645285 "MKFUNC" 1645659 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-715 1644283 1644387 1644543 "MKFLCFN" 1644778 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-714 1643560 1643662 1643847 "MKBCFUNC" 1644176 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-713 1640149 1643114 1643250 "MINT" 1643444 T MINT (NIL) -8 NIL NIL NIL) (-712 1638961 1639204 1639481 "MHROWRED" 1639904 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-711 1634341 1637496 1637901 "MFLOAT" 1638576 T MFLOAT (NIL) -8 NIL NIL NIL) (-710 1633698 1633774 1633945 "MFINFACT" 1634253 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-709 1630013 1630861 1631745 "MESH" 1632834 T MESH (NIL) -7 NIL NIL NIL) (-708 1628403 1628715 1629068 "MDDFACT" 1629700 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-707 1625172 1627534 1627575 "MDAGG" 1627830 NIL MDAGG (NIL T) -9 NIL 1627973 NIL) (-706 1613866 1624465 1624672 "MCMPLX" 1624985 T MCMPLX (NIL) -8 NIL NIL NIL) (-705 1613003 1613149 1613350 "MCDEN" 1613715 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-704 1610893 1611163 1611543 "MCALCFN" 1612733 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-703 1609818 1610058 1610291 "MAYBE" 1610699 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-702 1607430 1607953 1608515 "MATSTOR" 1609289 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-701 1603341 1606802 1607050 "MATRIX" 1607215 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-700 1599107 1599814 1600550 "MATLIN" 1602698 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-699 1588932 1592164 1592241 "MATCAT" 1597273 NIL MATCAT (NIL T T T) -9 NIL 1598745 NIL) (-698 1585125 1586195 1587608 "MATCAT-" 1587613 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-697 1583719 1583872 1584205 "MATCAT2" 1584960 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-696 1581831 1582155 1582539 "MAPPKG3" 1583394 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-695 1580812 1580985 1581207 "MAPPKG2" 1581655 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-694 1579311 1579595 1579922 "MAPPKG1" 1580518 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-693 1578390 1578717 1578894 "MAPPAST" 1579154 T MAPPAST (NIL) -8 NIL NIL NIL) (-692 1578001 1578059 1578182 "MAPHACK3" 1578326 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-691 1577593 1577654 1577768 "MAPHACK2" 1577933 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-690 1577031 1577134 1577276 "MAPHACK1" 1577484 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-689 1575110 1575731 1576035 "MAGMA" 1576759 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-688 1574589 1574834 1574925 "MACROAST" 1575039 T MACROAST (NIL) -8 NIL NIL NIL) (-687 1571009 1572828 1573289 "M3D" 1574161 NIL M3D (NIL T) -8 NIL NIL NIL) (-686 1565058 1569320 1569361 "LZSTAGG" 1570143 NIL LZSTAGG (NIL T) -9 NIL 1570438 NIL) (-685 1561016 1562189 1563646 "LZSTAGG-" 1563651 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-684 1558103 1558907 1559394 "LWORD" 1560561 NIL LWORD (NIL T) -8 NIL NIL NIL) (-683 1557679 1557907 1557982 "LSTAST" 1558048 T LSTAST (NIL) -8 NIL NIL NIL) (-682 1550569 1557450 1557584 "LSQM" 1557589 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-681 1549793 1549932 1550160 "LSPP" 1550424 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-680 1547605 1547906 1548362 "LSMP" 1549482 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-679 1544384 1545058 1545788 "LSMP1" 1546907 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-678 1538212 1543501 1543542 "LSAGG" 1543604 NIL LSAGG (NIL T) -9 NIL 1543682 NIL) (-677 1534907 1535831 1537044 "LSAGG-" 1537049 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-676 1532506 1534051 1534300 "LPOLY" 1534702 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-675 1532088 1532173 1532296 "LPEFRAC" 1532415 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-674 1530409 1531182 1531435 "LO" 1531920 NIL LO (NIL T T T) -8 NIL NIL NIL) (-673 1530047 1530159 1530187 "LOGIC" 1530298 T LOGIC (NIL) -9 NIL 1530379 NIL) (-672 1529909 1529932 1530003 "LOGIC-" 1530008 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-671 1529102 1529242 1529435 "LODOOPS" 1529765 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-670 1526525 1529018 1529084 "LODO" 1529089 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-669 1525063 1525298 1525651 "LODOF" 1526272 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-668 1521267 1523698 1523739 "LODOCAT" 1524177 NIL LODOCAT (NIL T) -9 NIL 1524388 NIL) (-667 1521000 1521058 1521185 "LODOCAT-" 1521190 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-666 1518320 1520841 1520959 "LODO2" 1520964 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-665 1515755 1518257 1518302 "LODO1" 1518307 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-664 1514636 1514801 1515106 "LODEEF" 1515578 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-663 1509913 1512802 1512843 "LNAGG" 1513705 NIL LNAGG (NIL T) -9 NIL 1514140 NIL) (-662 1509060 1509274 1509616 "LNAGG-" 1509621 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-661 1505196 1505985 1506624 "LMOPS" 1508475 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-660 1504585 1504973 1505014 "LMODULE" 1505019 NIL LMODULE (NIL T) -9 NIL 1505045 NIL) (-659 1501785 1504230 1504353 "LMDICT" 1504495 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-658 1501403 1501575 1501616 "LLINSET" 1501677 NIL LLINSET (NIL T) -9 NIL 1501721 NIL) (-657 1501102 1501311 1501371 "LITERAL" 1501376 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-656 1494267 1500036 1500340 "LIST" 1500831 NIL LIST (NIL T) -8 NIL NIL NIL) (-655 1493792 1493866 1494005 "LIST3" 1494187 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-654 1492799 1492977 1493205 "LIST2" 1493610 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-653 1490933 1491245 1491644 "LIST2MAP" 1492446 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-652 1490564 1490752 1490793 "LINSET" 1490798 NIL LINSET (NIL T) -9 NIL 1490832 NIL) (-651 1488977 1489591 1489632 "LINEXP" 1490122 NIL LINEXP (NIL T) -9 NIL 1490395 NIL) (-650 1487554 1487814 1488125 "LINDEP" 1488729 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-649 1484321 1485040 1485817 "LIMITRF" 1486809 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-648 1482624 1482920 1483329 "LIMITPS" 1484016 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-647 1477052 1482135 1482363 "LIE" 1482445 NIL LIE (NIL T T) -8 NIL NIL NIL) (-646 1475986 1476455 1476495 "LIECAT" 1476635 NIL LIECAT (NIL T) -9 NIL 1476786 NIL) (-645 1475827 1475854 1475942 "LIECAT-" 1475947 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-644 1468418 1475367 1475523 "LIB" 1475691 T LIB (NIL) -8 NIL NIL NIL) (-643 1464053 1464936 1465871 "LGROBP" 1467535 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-642 1462051 1462325 1462675 "LF" 1463774 NIL LF (NIL T T) -7 NIL NIL NIL) (-641 1460891 1461583 1461611 "LFCAT" 1461818 T LFCAT (NIL) -9 NIL 1461957 NIL) (-640 1457793 1458423 1459111 "LEXTRIPK" 1460255 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-639 1454537 1455363 1455866 "LEXP" 1457373 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-638 1454013 1454258 1454350 "LETAST" 1454465 T LETAST (NIL) -8 NIL NIL NIL) (-637 1452411 1452724 1453125 "LEADCDET" 1453695 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-636 1451601 1451675 1451904 "LAZM3PK" 1452332 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-635 1446518 1449678 1450216 "LAUPOL" 1451113 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-634 1446097 1446141 1446302 "LAPLACE" 1446468 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-633 1444036 1445198 1445449 "LA" 1445930 NIL LA (NIL T T T) -8 NIL NIL NIL) (-632 1443016 1443600 1443641 "LALG" 1443703 NIL LALG (NIL T) -9 NIL 1443762 NIL) (-631 1442730 1442789 1442925 "LALG-" 1442930 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-630 1442565 1442589 1442630 "KVTFROM" 1442692 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-629 1441488 1441932 1442117 "KTVLOGIC" 1442400 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-628 1441323 1441347 1441388 "KRCFROM" 1441450 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-627 1440227 1440414 1440713 "KOVACIC" 1441123 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-626 1440062 1440086 1440127 "KONVERT" 1440189 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-625 1439897 1439921 1439962 "KOERCE" 1440024 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-624 1437728 1438490 1438867 "KERNEL" 1439553 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-623 1437224 1437305 1437437 "KERNEL2" 1437642 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-622 1430934 1435701 1435755 "KDAGG" 1436132 NIL KDAGG (NIL T T) -9 NIL 1436338 NIL) (-621 1430463 1430587 1430792 "KDAGG-" 1430797 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-620 1423611 1430124 1430279 "KAFILE" 1430341 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-619 1418039 1423122 1423350 "JORDAN" 1423432 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-618 1417418 1417688 1417809 "JOINAST" 1417938 T JOINAST (NIL) -8 NIL NIL NIL) (-617 1417264 1417323 1417378 "JAVACODE" 1417383 T JAVACODE (NIL) -8 NIL NIL NIL) (-616 1413490 1415441 1415495 "IXAGG" 1416424 NIL IXAGG (NIL T T) -9 NIL 1416883 NIL) (-615 1412409 1412715 1413134 "IXAGG-" 1413139 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-614 1407941 1412331 1412390 "IVECTOR" 1412395 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-613 1406707 1406944 1407210 "ITUPLE" 1407708 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-612 1405209 1405386 1405681 "ITRIGMNP" 1406529 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-611 1403954 1404158 1404441 "ITFUN3" 1404985 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-610 1403586 1403643 1403752 "ITFUN2" 1403891 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-609 1402745 1403066 1403240 "ITFORM" 1403432 T ITFORM (NIL) -8 NIL NIL NIL) (-608 1400706 1401765 1402043 "ITAYLOR" 1402500 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-607 1389651 1394843 1396006 "ISUPS" 1399576 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-606 1388755 1388895 1389131 "ISUMP" 1389498 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-605 1384132 1388700 1388741 "ISTRING" 1388746 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-604 1383608 1383853 1383945 "ISAST" 1384060 T ISAST (NIL) -8 NIL NIL NIL) (-603 1382817 1382899 1383115 "IRURPK" 1383522 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-602 1381753 1381954 1382194 "IRSN" 1382597 T IRSN (NIL) -7 NIL NIL NIL) (-601 1379824 1380179 1380608 "IRRF2F" 1381391 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-600 1379571 1379609 1379685 "IRREDFFX" 1379780 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-599 1378186 1378445 1378744 "IROOT" 1379304 NIL IROOT (NIL T) -7 NIL NIL NIL) (-598 1374790 1375870 1376562 "IR" 1377526 NIL IR (NIL T) -8 NIL NIL NIL) (-597 1373995 1374283 1374434 "IRFORM" 1374659 T IRFORM (NIL) -8 NIL NIL NIL) (-596 1371608 1372103 1372669 "IR2" 1373473 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-595 1370708 1370821 1371035 "IR2F" 1371491 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-594 1370499 1370533 1370593 "IPRNTPK" 1370668 T IPRNTPK (NIL) -7 NIL NIL NIL) (-593 1367080 1370388 1370457 "IPF" 1370462 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-592 1365407 1367005 1367062 "IPADIC" 1367067 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-591 1364719 1364967 1365097 "IP4ADDR" 1365297 T IP4ADDR (NIL) -8 NIL NIL NIL) (-590 1364093 1364348 1364480 "IOMODE" 1364607 T IOMODE (NIL) -8 NIL NIL NIL) (-589 1363166 1363690 1363817 "IOBFILE" 1363986 T IOBFILE (NIL) -8 NIL NIL NIL) (-588 1362654 1363070 1363098 "IOBCON" 1363103 T IOBCON (NIL) -9 NIL 1363124 NIL) (-587 1362165 1362223 1362406 "INVLAPLA" 1362590 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-586 1351813 1354167 1356553 "INTTR" 1359829 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-585 1348148 1348890 1349755 "INTTOOLS" 1350998 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-584 1347734 1347825 1347942 "INTSLPE" 1348051 T INTSLPE (NIL) -7 NIL NIL NIL) (-583 1345687 1347657 1347716 "INTRVL" 1347721 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-582 1343289 1343801 1344376 "INTRF" 1345172 NIL INTRF (NIL T) -7 NIL NIL NIL) (-581 1342700 1342797 1342939 "INTRET" 1343187 NIL INTRET (NIL T) -7 NIL NIL NIL) (-580 1340697 1341086 1341556 "INTRAT" 1342308 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-579 1337960 1338543 1339162 "INTPM" 1340182 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-578 1334705 1335304 1336042 "INTPAF" 1337346 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-577 1329884 1330846 1331897 "INTPACK" 1333674 T INTPACK (NIL) -7 NIL NIL NIL) (-576 1326696 1329681 1329790 "INT" 1329795 T INT (NIL) -8 NIL NIL NIL) (-575 1325948 1326100 1326308 "INTHERTR" 1326538 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-574 1325387 1325467 1325655 "INTHERAL" 1325862 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-573 1323233 1323676 1324133 "INTHEORY" 1324950 T INTHEORY (NIL) -7 NIL NIL NIL) (-572 1314639 1316260 1318032 "INTG0" 1321585 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-571 1295212 1300002 1304812 "INTFTBL" 1309849 T INTFTBL (NIL) -8 NIL NIL NIL) (-570 1294461 1294599 1294772 "INTFACT" 1295071 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-569 1291888 1292334 1292891 "INTEF" 1294015 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-568 1290241 1290980 1291008 "INTDOM" 1291309 T INTDOM (NIL) -9 NIL 1291516 NIL) (-567 1289610 1289784 1290026 "INTDOM-" 1290031 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-566 1285984 1287912 1287966 "INTCAT" 1288765 NIL INTCAT (NIL T) -9 NIL 1289086 NIL) (-565 1285456 1285559 1285687 "INTBIT" 1285876 T INTBIT (NIL) -7 NIL NIL NIL) (-564 1284155 1284309 1284616 "INTALG" 1285301 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-563 1283638 1283728 1283885 "INTAF" 1284059 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-562 1276985 1283448 1283588 "INTABL" 1283593 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-561 1276318 1276784 1276849 "INT8" 1276883 T INT8 (NIL) -8 NIL NIL 1276928) (-560 1275650 1276116 1276181 "INT64" 1276215 T INT64 (NIL) -8 NIL NIL 1276260) (-559 1274982 1275448 1275513 "INT32" 1275547 T INT32 (NIL) -8 NIL NIL 1275592) (-558 1274314 1274780 1274845 "INT16" 1274879 T INT16 (NIL) -8 NIL NIL 1274924) (-557 1269023 1271875 1271903 "INS" 1272837 T INS (NIL) -9 NIL 1273502 NIL) (-556 1266263 1267034 1268008 "INS-" 1268081 NIL INS- (NIL T) -8 NIL NIL NIL) (-555 1265038 1265265 1265563 "INPSIGN" 1266016 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-554 1264156 1264273 1264470 "INPRODPF" 1264918 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-553 1263050 1263167 1263404 "INPRODFF" 1264036 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-552 1262050 1262202 1262462 "INNMFACT" 1262886 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-551 1261247 1261344 1261532 "INMODGCD" 1261949 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-550 1259755 1260000 1260324 "INFSP" 1260992 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-549 1258939 1259056 1259239 "INFPROD0" 1259635 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-548 1255794 1257004 1257519 "INFORM" 1258432 T INFORM (NIL) -8 NIL NIL NIL) (-547 1255404 1255464 1255562 "INFORM1" 1255729 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-546 1254927 1255016 1255130 "INFINITY" 1255310 T INFINITY (NIL) -7 NIL NIL NIL) (-545 1254103 1254647 1254748 "INETCLTS" 1254846 T INETCLTS (NIL) -8 NIL NIL NIL) (-544 1252719 1252969 1253290 "INEP" 1253851 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-543 1251968 1252616 1252681 "INDE" 1252686 NIL INDE (NIL T) -8 NIL NIL NIL) (-542 1251532 1251600 1251717 "INCRMAPS" 1251895 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-541 1250350 1250801 1251007 "INBFILE" 1251346 T INBFILE (NIL) -8 NIL NIL NIL) (-540 1245649 1246586 1247530 "INBFF" 1249438 NIL INBFF (NIL T) -7 NIL NIL NIL) (-539 1244557 1244826 1244854 "INBCON" 1245367 T INBCON (NIL) -9 NIL 1245633 NIL) (-538 1243809 1244032 1244308 "INBCON-" 1244313 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-537 1243288 1243533 1243624 "INAST" 1243738 T INAST (NIL) -8 NIL NIL NIL) (-536 1242715 1242967 1243073 "IMPTAST" 1243202 T IMPTAST (NIL) -8 NIL NIL NIL) (-535 1239115 1242559 1242663 "IMATRIX" 1242668 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-534 1237823 1237946 1238262 "IMATQF" 1238971 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-533 1236043 1236270 1236607 "IMATLIN" 1237579 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-532 1230623 1235967 1236025 "ILIST" 1236030 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-531 1228530 1230483 1230596 "IIARRAY2" 1230601 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-530 1223928 1228441 1228505 "IFF" 1228510 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-529 1223275 1223545 1223661 "IFAST" 1223832 T IFAST (NIL) -8 NIL NIL NIL) (-528 1218272 1222567 1222755 "IFARRAY" 1223132 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-527 1217452 1218176 1218249 "IFAMON" 1218254 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-526 1217036 1217101 1217155 "IEVALAB" 1217362 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-525 1216711 1216779 1216939 "IEVALAB-" 1216944 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-524 1216342 1216625 1216688 "IDPO" 1216693 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-523 1215592 1216231 1216306 "IDPOAMS" 1216311 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-522 1214899 1215481 1215556 "IDPOAM" 1215561 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-521 1213944 1214220 1214273 "IDPC" 1214686 NIL IDPC (NIL T T) -9 NIL 1214835 NIL) (-520 1213413 1213836 1213909 "IDPAM" 1213914 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-519 1212789 1213305 1213378 "IDPAG" 1213383 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-518 1212434 1212625 1212700 "IDENT" 1212734 T IDENT (NIL) -8 NIL NIL NIL) (-517 1208689 1209537 1210432 "IDECOMP" 1211591 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-516 1201526 1202612 1203659 "IDEAL" 1207725 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-515 1200686 1200798 1200998 "ICDEN" 1201410 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-514 1199757 1200166 1200313 "ICARD" 1200559 T ICARD (NIL) -8 NIL NIL NIL) (-513 1197817 1198130 1198535 "IBPTOOLS" 1199434 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-512 1193424 1197437 1197550 "IBITS" 1197736 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-511 1190147 1190723 1191418 "IBATOOL" 1192841 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-510 1187926 1188388 1188921 "IBACHIN" 1189682 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-509 1185757 1187772 1187875 "IARRAY2" 1187880 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-508 1181865 1185683 1185740 "IARRAY1" 1185745 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-507 1175725 1180277 1180758 "IAN" 1181404 T IAN (NIL) -8 NIL NIL NIL) (-506 1175236 1175293 1175466 "IALGFACT" 1175662 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-505 1174764 1174877 1174905 "HYPCAT" 1175112 T HYPCAT (NIL) -9 NIL NIL NIL) (-504 1174302 1174419 1174605 "HYPCAT-" 1174610 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-503 1173897 1174097 1174180 "HOSTNAME" 1174239 T HOSTNAME (NIL) -8 NIL NIL NIL) (-502 1173742 1173779 1173820 "HOMOTOP" 1173825 NIL HOMOTOP (NIL T) -9 NIL 1173858 NIL) (-501 1170298 1171674 1171715 "HOAGG" 1172696 NIL HOAGG (NIL T) -9 NIL 1173425 NIL) (-500 1168892 1169291 1169817 "HOAGG-" 1169822 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-499 1162608 1168485 1168635 "HEXADEC" 1168762 T HEXADEC (NIL) -8 NIL NIL NIL) (-498 1161356 1161578 1161841 "HEUGCD" 1162385 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-497 1160432 1161193 1161323 "HELLFDIV" 1161328 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-496 1158613 1160209 1160297 "HEAP" 1160376 NIL HEAP (NIL T) -8 NIL NIL NIL) (-495 1157876 1158165 1158299 "HEADAST" 1158499 T HEADAST (NIL) -8 NIL NIL NIL) (-494 1151718 1157791 1157853 "HDP" 1157858 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-493 1145430 1151353 1151505 "HDMP" 1151619 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-492 1144754 1144894 1145058 "HB" 1145286 T HB (NIL) -7 NIL NIL NIL) (-491 1138144 1144600 1144704 "HASHTBL" 1144709 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-490 1137620 1137865 1137957 "HASAST" 1138072 T HASAST (NIL) -8 NIL NIL NIL) (-489 1135398 1137242 1137424 "HACKPI" 1137458 T HACKPI (NIL) -8 NIL NIL NIL) (-488 1131066 1135251 1135364 "GTSET" 1135369 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-487 1124485 1130944 1131042 "GSTBL" 1131047 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-486 1116872 1123650 1123906 "GSERIES" 1124285 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-485 1115999 1116416 1116444 "GROUP" 1116647 T GROUP (NIL) -9 NIL 1116781 NIL) (-484 1115365 1115524 1115775 "GROUP-" 1115780 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-483 1113732 1114053 1114440 "GROEBSOL" 1115042 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-482 1112632 1112920 1112971 "GRMOD" 1113500 NIL GRMOD (NIL T T) -9 NIL 1113668 NIL) (-481 1112400 1112436 1112564 "GRMOD-" 1112569 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-480 1107690 1108754 1109754 "GRIMAGE" 1111420 T GRIMAGE (NIL) -8 NIL NIL NIL) (-479 1106156 1106417 1106741 "GRDEF" 1107386 T GRDEF (NIL) -7 NIL NIL NIL) (-478 1105600 1105716 1105857 "GRAY" 1106035 T GRAY (NIL) -7 NIL NIL NIL) (-477 1104773 1105179 1105230 "GRALG" 1105383 NIL GRALG (NIL T T) -9 NIL 1105476 NIL) (-476 1104434 1104507 1104670 "GRALG-" 1104675 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-475 1101211 1104019 1104197 "GPOLSET" 1104341 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-474 1100565 1100622 1100880 "GOSPER" 1101148 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-473 1096297 1097003 1097529 "GMODPOL" 1100264 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-472 1095302 1095486 1095724 "GHENSEL" 1096109 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-471 1089458 1090301 1091321 "GENUPS" 1094386 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-470 1089155 1089206 1089295 "GENUFACT" 1089401 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-469 1088567 1088644 1088809 "GENPGCD" 1089073 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-468 1088041 1088076 1088289 "GENMFACT" 1088526 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-467 1086607 1086864 1087171 "GENEEZ" 1087784 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-466 1080479 1086218 1086380 "GDMP" 1086530 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-465 1069822 1074250 1075356 "GCNAALG" 1079462 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-464 1068135 1068997 1069025 "GCDDOM" 1069280 T GCDDOM (NIL) -9 NIL 1069437 NIL) (-463 1067605 1067732 1067947 "GCDDOM-" 1067952 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-462 1066277 1066462 1066766 "GB" 1067384 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-461 1054893 1057223 1059615 "GBINTERN" 1063968 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-460 1052730 1053022 1053443 "GBF" 1054568 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-459 1051511 1051676 1051943 "GBEUCLID" 1052546 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-458 1050860 1050985 1051134 "GAUSSFAC" 1051382 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-457 1049227 1049529 1049843 "GALUTIL" 1050579 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-456 1047535 1047809 1048133 "GALPOLYU" 1048954 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-455 1044900 1045190 1045597 "GALFACTU" 1047232 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-454 1036706 1038205 1039813 "GALFACT" 1043332 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-453 1034094 1034752 1034780 "FVFUN" 1035936 T FVFUN (NIL) -9 NIL 1036656 NIL) (-452 1033360 1033542 1033570 "FVC" 1033861 T FVC (NIL) -9 NIL 1034044 NIL) (-451 1033003 1033185 1033253 "FUNDESC" 1033312 T FUNDESC (NIL) -8 NIL NIL NIL) (-450 1032618 1032800 1032881 "FUNCTION" 1032955 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-449 1030362 1030940 1031406 "FT" 1032172 T FT (NIL) -8 NIL NIL NIL) (-448 1029153 1029663 1029866 "FTEM" 1030179 T FTEM (NIL) -8 NIL NIL NIL) (-447 1027444 1027733 1028130 "FSUPFACT" 1028844 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-446 1025841 1026130 1026462 "FST" 1027132 T FST (NIL) -8 NIL NIL NIL) (-445 1025040 1025146 1025334 "FSRED" 1025723 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-444 1023739 1023995 1024342 "FSPRMELT" 1024755 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-443 1021045 1021483 1021969 "FSPECF" 1023302 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-442 1002110 1010819 1010860 "FS" 1014744 NIL FS (NIL T) -9 NIL 1017033 NIL) (-441 990753 993746 997803 "FS-" 998103 NIL FS- (NIL T T) -8 NIL NIL NIL) (-440 990281 990335 990505 "FSINT" 990694 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-439 988573 989274 989577 "FSERIES" 990060 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-438 987615 987731 987955 "FSCINT" 988453 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-437 983823 986559 986600 "FSAGG" 986970 NIL FSAGG (NIL T) -9 NIL 987229 NIL) (-436 981585 982186 982982 "FSAGG-" 983077 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-435 980627 980770 980997 "FSAGG2" 981438 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-434 978305 978585 979133 "FS2UPS" 980345 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-433 977939 977982 978111 "FS2" 978256 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-432 976817 976988 977290 "FS2EXPXP" 977764 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-431 976243 976358 976510 "FRUTIL" 976697 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-430 967656 971738 973096 "FR" 974917 NIL FR (NIL T) -8 NIL NIL NIL) (-429 962670 965345 965385 "FRNAALG" 966705 NIL FRNAALG (NIL T) -9 NIL 967303 NIL) (-428 958343 959419 960694 "FRNAALG-" 961444 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-427 957981 958024 958151 "FRNAAF2" 958294 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-426 956356 956830 957126 "FRMOD" 957793 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-425 954099 954731 955049 "FRIDEAL" 956147 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-424 953290 953377 953668 "FRIDEAL2" 954006 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-423 952423 952837 952878 "FRETRCT" 952883 NIL FRETRCT (NIL T) -9 NIL 953059 NIL) (-422 951535 951766 952117 "FRETRCT-" 952122 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-421 948609 949819 949878 "FRAMALG" 950760 NIL FRAMALG (NIL T T) -9 NIL 951052 NIL) (-420 946743 947198 947828 "FRAMALG-" 948051 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-419 940386 946216 946493 "FRAC" 946498 NIL FRAC (NIL T) -8 NIL NIL NIL) (-418 940022 940079 940186 "FRAC2" 940323 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-417 939658 939715 939822 "FR2" 939959 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-416 934157 937050 937078 "FPS" 938197 T FPS (NIL) -9 NIL 938754 NIL) (-415 933606 933715 933879 "FPS-" 934025 NIL FPS- (NIL T) -8 NIL NIL NIL) (-414 930894 932563 932591 "FPC" 932816 T FPC (NIL) -9 NIL 932958 NIL) (-413 930687 930727 930824 "FPC-" 930829 NIL FPC- (NIL T) -8 NIL NIL NIL) (-412 929477 930175 930216 "FPATMAB" 930221 NIL FPATMAB (NIL T) -9 NIL 930373 NIL) (-411 927716 928219 928566 "FPARFRAC" 929193 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-410 923110 923608 924290 "FORTRAN" 927148 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-409 920826 921326 921865 "FORT" 922591 T FORT (NIL) -7 NIL NIL NIL) (-408 918502 919064 919092 "FORTFN" 920152 T FORTFN (NIL) -9 NIL 920776 NIL) (-407 918266 918316 918344 "FORTCAT" 918403 T FORTCAT (NIL) -9 NIL 918465 NIL) (-406 916372 916882 917272 "FORMULA" 917896 T FORMULA (NIL) -8 NIL NIL NIL) (-405 916160 916190 916259 "FORMULA1" 916336 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-404 915683 915735 915908 "FORDER" 916102 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-403 914779 914943 915136 "FOP" 915510 T FOP (NIL) -7 NIL NIL NIL) (-402 913360 914059 914233 "FNLA" 914661 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-401 912075 912490 912518 "FNCAT" 912978 T FNCAT (NIL) -9 NIL 913238 NIL) (-400 911614 912034 912062 "FNAME" 912067 T FNAME (NIL) -8 NIL NIL NIL) (-399 910163 911126 911154 "FMTC" 911159 T FMTC (NIL) -9 NIL 911195 NIL) (-398 908909 910099 910145 "FMONOID" 910150 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-397 905723 906891 906932 "FMONCAT" 908149 NIL FMONCAT (NIL T) -9 NIL 908754 NIL) (-396 904915 905465 905614 "FM" 905619 NIL FM (NIL T T) -8 NIL NIL NIL) (-395 902339 902985 903013 "FMFUN" 904157 T FMFUN (NIL) -9 NIL 904865 NIL) (-394 901608 901789 901817 "FMC" 902107 T FMC (NIL) -9 NIL 902289 NIL) (-393 898673 899533 899587 "FMCAT" 900782 NIL FMCAT (NIL T T) -9 NIL 901277 NIL) (-392 897539 898439 898539 "FM1" 898618 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-391 895313 895729 896223 "FLOATRP" 897090 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-390 888891 893042 893663 "FLOAT" 894712 T FLOAT (NIL) -8 NIL NIL NIL) (-389 886329 886829 887407 "FLOATCP" 888358 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-388 884977 885921 885962 "FLINEXP" 885967 NIL FLINEXP (NIL T) -9 NIL 886060 NIL) (-387 884131 884366 884694 "FLINEXP-" 884699 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-386 883207 883351 883575 "FLASORT" 883983 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-385 880309 881177 881229 "FLALG" 882456 NIL FLALG (NIL T T) -9 NIL 882923 NIL) (-384 873995 877745 877786 "FLAGG" 879048 NIL FLAGG (NIL T) -9 NIL 879700 NIL) (-383 872721 873060 873550 "FLAGG-" 873555 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-382 871763 871906 872133 "FLAGG2" 872574 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-381 868600 869608 869667 "FINRALG" 870795 NIL FINRALG (NIL T T) -9 NIL 871303 NIL) (-380 867760 867989 868328 "FINRALG-" 868333 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-379 867126 867365 867393 "FINITE" 867589 T FINITE (NIL) -9 NIL 867696 NIL) (-378 859469 861656 861696 "FINAALG" 865363 NIL FINAALG (NIL T) -9 NIL 866816 NIL) (-377 854801 855851 856995 "FINAALG-" 858374 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-376 854169 854556 854659 "FILE" 854731 NIL FILE (NIL T) -8 NIL NIL NIL) (-375 852813 853151 853205 "FILECAT" 853889 NIL FILECAT (NIL T T) -9 NIL 854105 NIL) (-374 850515 852043 852071 "FIELD" 852111 T FIELD (NIL) -9 NIL 852191 NIL) (-373 849135 849520 850031 "FIELD-" 850036 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-372 846985 847770 848117 "FGROUP" 848821 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-371 846075 846239 846459 "FGLMICPK" 846817 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-370 841907 846000 846057 "FFX" 846062 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-369 841508 841569 841704 "FFSLPE" 841840 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-368 837498 838280 839076 "FFPOLY" 840744 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-367 837002 837038 837247 "FFPOLY2" 837456 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-366 832848 836921 836984 "FFP" 836989 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-365 828246 832759 832823 "FF" 832828 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-364 823372 827589 827779 "FFNBX" 828100 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-363 818300 822507 822765 "FFNBP" 823226 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-362 812933 817584 817795 "FFNB" 818133 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-361 811765 811963 812278 "FFINTBAS" 812730 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-360 807791 810012 810040 "FFIELDC" 810660 T FFIELDC (NIL) -9 NIL 811036 NIL) (-359 806453 806824 807321 "FFIELDC-" 807326 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-358 806022 806068 806192 "FFHOM" 806395 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-357 803717 804204 804721 "FFF" 805537 NIL FFF (NIL T) -7 NIL NIL NIL) (-356 799335 803459 803560 "FFCGX" 803660 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-355 794957 799067 799174 "FFCGP" 799278 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-354 790140 794684 794792 "FFCG" 794893 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-353 769669 779872 779958 "FFCAT" 785123 NIL FFCAT (NIL T T T) -9 NIL 786574 NIL) (-352 764866 765914 767228 "FFCAT-" 768458 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-351 764277 764320 764555 "FFCAT2" 764817 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-350 753600 757249 758469 "FEXPR" 763129 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-349 752562 752997 753038 "FEVALAB" 753122 NIL FEVALAB (NIL T) -9 NIL 753383 NIL) (-348 751721 751931 752269 "FEVALAB-" 752274 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-347 750287 751104 751307 "FDIV" 751620 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-346 747293 748034 748149 "FDIVCAT" 749717 NIL FDIVCAT (NIL T T T T) -9 NIL 750154 NIL) (-345 747055 747082 747252 "FDIVCAT-" 747257 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-344 746275 746362 746639 "FDIV2" 746962 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-343 745249 745570 745772 "FCTRDATA" 746093 T FCTRDATA (NIL) -8 NIL NIL NIL) (-342 743935 744194 744483 "FCPAK1" 744980 T FCPAK1 (NIL) -7 NIL NIL NIL) (-341 743034 743435 743576 "FCOMP" 743826 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-340 726739 730184 733722 "FC" 739516 T FC (NIL) -8 NIL NIL NIL) (-339 719032 723060 723100 "FAXF" 724902 NIL FAXF (NIL T) -9 NIL 725594 NIL) (-338 716309 716966 717791 "FAXF-" 718256 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-337 711363 715685 715861 "FARRAY" 716166 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-336 706243 708310 708363 "FAMR" 709386 NIL FAMR (NIL T T) -9 NIL 709846 NIL) (-335 705133 705435 705870 "FAMR-" 705875 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-334 704302 705055 705108 "FAMONOID" 705113 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-333 702074 702784 702837 "FAMONC" 703778 NIL FAMONC (NIL T T) -9 NIL 704164 NIL) (-332 700738 701828 701965 "FAGROUP" 701970 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-331 698533 698852 699255 "FACUTIL" 700419 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-330 697632 697817 698039 "FACTFUNC" 698343 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-329 690054 696935 697134 "EXPUPXS" 697488 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-328 687537 688077 688663 "EXPRTUBE" 689488 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-327 683808 684400 685130 "EXPRODE" 686876 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-326 669292 682457 682886 "EXPR" 683412 NIL EXPR (NIL T) -8 NIL NIL NIL) (-325 663846 664433 665239 "EXPR2UPS" 668590 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-324 663478 663535 663644 "EXPR2" 663783 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-323 654475 662629 662920 "EXPEXPAN" 663314 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-322 654275 654432 654461 "EXIT" 654466 T EXIT (NIL) -8 NIL NIL NIL) (-321 653755 653999 654090 "EXITAST" 654204 T EXITAST (NIL) -8 NIL NIL NIL) (-320 653382 653444 653557 "EVALCYC" 653687 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-319 652923 653041 653082 "EVALAB" 653252 NIL EVALAB (NIL T) -9 NIL 653356 NIL) (-318 652404 652526 652747 "EVALAB-" 652752 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-317 649758 651060 651088 "EUCDOM" 651643 T EUCDOM (NIL) -9 NIL 651993 NIL) (-316 648163 648605 649195 "EUCDOM-" 649200 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-315 635702 638461 641211 "ESTOOLS" 645433 T ESTOOLS (NIL) -7 NIL NIL NIL) (-314 635334 635391 635500 "ESTOOLS2" 635639 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-313 635085 635127 635207 "ESTOOLS1" 635286 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-312 629108 630716 630744 "ES" 633512 T ES (NIL) -9 NIL 634922 NIL) (-311 624055 625342 627159 "ES-" 627323 NIL ES- (NIL T) -8 NIL NIL NIL) (-310 620429 621190 621970 "ESCONT" 623295 T ESCONT (NIL) -7 NIL NIL NIL) (-309 620174 620206 620288 "ESCONT1" 620391 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-308 619849 619899 619999 "ES2" 620118 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-307 619479 619537 619646 "ES1" 619785 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-306 618695 618824 619000 "ERROR" 619323 T ERROR (NIL) -7 NIL NIL NIL) (-305 612091 618554 618645 "EQTBL" 618650 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-304 604594 607405 608854 "EQ" 610675 NIL -2054 (NIL T) -8 NIL NIL NIL) (-303 604226 604283 604392 "EQ2" 604531 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-302 599517 600564 601657 "EP" 603165 NIL EP (NIL T) -7 NIL NIL NIL) (-301 598117 598408 598714 "ENV" 599231 T ENV (NIL) -8 NIL NIL NIL) (-300 597197 597751 597779 "ENTIRER" 597784 T ENTIRER (NIL) -9 NIL 597830 NIL) (-299 593891 595379 595740 "EMR" 597005 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-298 593021 593206 593260 "ELTAGG" 593640 NIL ELTAGG (NIL T T) -9 NIL 593851 NIL) (-297 592740 592802 592943 "ELTAGG-" 592948 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-296 592504 592533 592587 "ELTAB" 592671 NIL ELTAB (NIL T T) -9 NIL 592723 NIL) (-295 591630 591776 591975 "ELFUTS" 592355 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-294 591372 591428 591456 "ELEMFUN" 591561 T ELEMFUN (NIL) -9 NIL NIL NIL) (-293 591242 591263 591331 "ELEMFUN-" 591336 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-292 586030 589284 589325 "ELAGG" 590265 NIL ELAGG (NIL T) -9 NIL 590728 NIL) (-291 584315 584749 585412 "ELAGG-" 585417 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-290 583627 583764 583920 "ELABOR" 584179 T ELABOR (NIL) -8 NIL NIL NIL) (-289 582288 582567 582861 "ELABEXPR" 583353 T ELABEXPR (NIL) -8 NIL NIL NIL) (-288 575122 576925 577754 "EFUPXS" 581563 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-287 568570 570371 571182 "EFULS" 574397 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-286 566055 566413 566885 "EFSTRUC" 568202 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-285 555846 557412 558960 "EF" 564570 NIL EF (NIL T T) -7 NIL NIL NIL) (-284 554920 555331 555480 "EAB" 555717 T EAB (NIL) -8 NIL NIL NIL) (-283 554102 554879 554907 "E04UCFA" 554912 T E04UCFA (NIL) -8 NIL NIL NIL) (-282 553284 554061 554089 "E04NAFA" 554094 T E04NAFA (NIL) -8 NIL NIL NIL) (-281 552466 553243 553271 "E04MBFA" 553276 T E04MBFA (NIL) -8 NIL NIL NIL) (-280 551648 552425 552453 "E04JAFA" 552458 T E04JAFA (NIL) -8 NIL NIL NIL) (-279 550832 551607 551635 "E04GCFA" 551640 T E04GCFA (NIL) -8 NIL NIL NIL) (-278 550016 550791 550819 "E04FDFA" 550824 T E04FDFA (NIL) -8 NIL NIL NIL) (-277 549198 549975 550003 "E04DGFA" 550008 T E04DGFA (NIL) -8 NIL NIL NIL) (-276 543371 544723 546087 "E04AGNT" 547854 T E04AGNT (NIL) -7 NIL NIL NIL) (-275 542142 542685 542725 "DVARCAT" 543066 NIL DVARCAT (NIL T) -9 NIL 543229 NIL) (-274 541346 541558 541872 "DVARCAT-" 541877 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-273 534207 541145 541274 "DSMP" 541279 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-272 532630 533349 533390 "DSEXT" 533753 NIL DSEXT (NIL T) -9 NIL 534047 NIL) (-271 530915 531343 532009 "DSEXT-" 532014 NIL DSEXT- (NIL T T) -8 NIL NIL NIL) (-270 525696 526860 527928 "DROPT" 529867 T DROPT (NIL) -8 NIL NIL NIL) (-269 525361 525420 525518 "DROPT1" 525631 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-268 520476 521602 522739 "DROPT0" 524244 T DROPT0 (NIL) -7 NIL NIL NIL) (-267 518821 519146 519532 "DRAWPT" 520110 T DRAWPT (NIL) -7 NIL NIL NIL) (-266 513408 514331 515410 "DRAW" 517795 NIL DRAW (NIL T) -7 NIL NIL NIL) (-265 513041 513094 513212 "DRAWHACK" 513349 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-264 511772 512041 512332 "DRAWCX" 512770 T DRAWCX (NIL) -7 NIL NIL NIL) (-263 511287 511356 511507 "DRAWCURV" 511698 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-262 501755 503717 505832 "DRAWCFUN" 509192 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-261 498493 500420 500461 "DQAGG" 501090 NIL DQAGG (NIL T) -9 NIL 501364 NIL) (-260 485958 492704 492787 "DPOLCAT" 494639 NIL DPOLCAT (NIL T T T T) -9 NIL 495184 NIL) (-259 480795 482143 484101 "DPOLCAT-" 484106 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-258 474142 480656 480754 "DPMO" 480759 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-257 467392 473922 474089 "DPMM" 474094 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-256 466962 467176 467265 "DOMTMPLT" 467323 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-255 466395 466764 466844 "DOMCTOR" 466902 T DOMCTOR (NIL) -8 NIL NIL NIL) (-254 465607 465875 466026 "DOMAIN" 466264 T DOMAIN (NIL) -8 NIL NIL NIL) (-253 459319 465242 465394 "DMP" 465508 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-252 457264 458386 458427 "DMEXT" 458432 NIL DMEXT (NIL T) -9 NIL 458608 NIL) (-251 456864 456920 457064 "DLP" 457202 NIL DLP (NIL T) -7 NIL NIL NIL) (-250 450688 456191 456381 "DLIST" 456706 NIL DLIST (NIL T) -8 NIL NIL NIL) (-249 447459 449513 449554 "DLAGG" 450104 NIL DLAGG (NIL T) -9 NIL 450334 NIL) (-248 446121 446785 446813 "DIVRING" 446905 T DIVRING (NIL) -9 NIL 446988 NIL) (-247 445358 445548 445848 "DIVRING-" 445853 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-246 443460 443817 444223 "DISPLAY" 444972 T DISPLAY (NIL) -7 NIL NIL NIL) (-245 437322 443374 443437 "DIRPROD" 443442 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-244 436170 436373 436638 "DIRPROD2" 437115 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-243 424899 430936 430989 "DIRPCAT" 431247 NIL DIRPCAT (NIL NIL T) -9 NIL 432122 NIL) (-242 422225 422867 423748 "DIRPCAT-" 424085 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-241 421512 421672 421858 "DIOSP" 422059 T DIOSP (NIL) -7 NIL NIL NIL) (-240 418141 420396 420437 "DIOPS" 420871 NIL DIOPS (NIL T) -9 NIL 421100 NIL) (-239 417690 417804 417995 "DIOPS-" 418000 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-238 416741 417369 417397 "DIFRING" 417402 T DIFRING (NIL) -9 NIL 417424 NIL) (-237 416413 416487 416515 "DIFFSPC" 416634 T DIFFSPC (NIL) -9 NIL 416709 NIL) (-236 416058 416136 416288 "DIFFSPC-" 416293 NIL DIFFSPC- (NIL T) -8 NIL NIL NIL) (-235 415114 415592 415633 "DIFFMOD" 415638 NIL DIFFMOD (NIL T) -9 NIL 415736 NIL) (-234 414822 414867 414908 "DIFFDOM" 415029 NIL DIFFDOM (NIL T) -9 NIL 415097 NIL) (-233 414675 414699 414783 "DIFFDOM-" 414788 NIL DIFFDOM- (NIL T T) -8 NIL NIL NIL) (-232 412607 413879 413920 "DIFEXT" 413925 NIL DIFEXT (NIL T) -9 NIL 414078 NIL) (-231 409856 412111 412152 "DIAGG" 412157 NIL DIAGG (NIL T) -9 NIL 412177 NIL) (-230 409240 409397 409649 "DIAGG-" 409654 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-229 404611 408199 408476 "DHMATRIX" 409009 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-228 400223 401132 402142 "DFSFUN" 403621 T DFSFUN (NIL) -7 NIL NIL NIL) (-227 395301 399154 399466 "DFLOAT" 399931 T DFLOAT (NIL) -8 NIL NIL NIL) (-226 393564 393845 394234 "DFINTTLS" 395009 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-225 390593 391585 391985 "DERHAM" 393230 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-224 388396 390368 390457 "DEQUEUE" 390537 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-223 387650 387783 387966 "DEGRED" 388258 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-222 384080 384825 385671 "DEFINTRF" 386878 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-221 381635 382104 382696 "DEFINTEF" 383599 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-220 380985 381255 381370 "DEFAST" 381540 T DEFAST (NIL) -8 NIL NIL NIL) (-219 374701 380578 380728 "DECIMAL" 380855 T DECIMAL (NIL) -8 NIL NIL NIL) (-218 372213 372671 373177 "DDFACT" 374245 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-217 371809 371852 372003 "DBLRESP" 372164 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-216 369677 370039 370400 "DBASE" 371575 NIL DBASE (NIL T) -8 NIL NIL NIL) (-215 368919 369157 369303 "DATAARY" 369576 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-214 368025 368878 368906 "D03FAFA" 368911 T D03FAFA (NIL) -8 NIL NIL NIL) (-213 367132 367984 368012 "D03EEFA" 368017 T D03EEFA (NIL) -8 NIL NIL NIL) (-212 365082 365548 366037 "D03AGNT" 366663 T D03AGNT (NIL) -7 NIL NIL NIL) (-211 364371 365041 365069 "D02EJFA" 365074 T D02EJFA (NIL) -8 NIL NIL NIL) (-210 363660 364330 364358 "D02CJFA" 364363 T D02CJFA (NIL) -8 NIL NIL NIL) (-209 362949 363619 363647 "D02BHFA" 363652 T D02BHFA (NIL) -8 NIL NIL NIL) (-208 362238 362908 362936 "D02BBFA" 362941 T D02BBFA (NIL) -8 NIL NIL NIL) (-207 355435 357024 358630 "D02AGNT" 360652 T D02AGNT (NIL) -7 NIL NIL NIL) (-206 353203 353726 354272 "D01WGTS" 354909 T D01WGTS (NIL) -7 NIL NIL NIL) (-205 352270 353162 353190 "D01TRNS" 353195 T D01TRNS (NIL) -8 NIL NIL NIL) (-204 351338 352229 352257 "D01GBFA" 352262 T D01GBFA (NIL) -8 NIL NIL NIL) (-203 350406 351297 351325 "D01FCFA" 351330 T D01FCFA (NIL) -8 NIL NIL NIL) (-202 349474 350365 350393 "D01ASFA" 350398 T D01ASFA (NIL) -8 NIL NIL NIL) (-201 348542 349433 349461 "D01AQFA" 349466 T D01AQFA (NIL) -8 NIL NIL NIL) (-200 347610 348501 348529 "D01APFA" 348534 T D01APFA (NIL) -8 NIL NIL NIL) (-199 346678 347569 347597 "D01ANFA" 347602 T D01ANFA (NIL) -8 NIL NIL NIL) (-198 345746 346637 346665 "D01AMFA" 346670 T D01AMFA (NIL) -8 NIL NIL NIL) (-197 344814 345705 345733 "D01ALFA" 345738 T D01ALFA (NIL) -8 NIL NIL NIL) (-196 343882 344773 344801 "D01AKFA" 344806 T D01AKFA (NIL) -8 NIL NIL NIL) (-195 342950 343841 343869 "D01AJFA" 343874 T D01AJFA (NIL) -8 NIL NIL NIL) (-194 336245 337798 339359 "D01AGNT" 341409 T D01AGNT (NIL) -7 NIL NIL NIL) (-193 335582 335710 335862 "CYCLOTOM" 336113 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-192 332315 333030 333757 "CYCLES" 334875 T CYCLES (NIL) -7 NIL NIL NIL) (-191 331627 331761 331932 "CVMP" 332176 NIL CVMP (NIL T) -7 NIL NIL NIL) (-190 329468 329726 330095 "CTRIGMNP" 331355 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-189 328904 329262 329335 "CTOR" 329415 T CTOR (NIL) -8 NIL NIL NIL) (-188 328413 328635 328736 "CTORKIND" 328823 T CTORKIND (NIL) -8 NIL NIL NIL) (-187 327690 328006 328034 "CTORCAT" 328216 T CTORCAT (NIL) -9 NIL 328329 NIL) (-186 327288 327399 327558 "CTORCAT-" 327563 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-185 326750 326962 327070 "CTORCALL" 327212 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-184 326124 326223 326376 "CSTTOOLS" 326647 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-183 321923 322580 323338 "CRFP" 325436 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-182 321398 321644 321736 "CRCEAST" 321851 T CRCEAST (NIL) -8 NIL NIL NIL) (-181 320445 320630 320858 "CRAPACK" 321202 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-180 319829 319930 320134 "CPMATCH" 320321 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-179 319554 319582 319688 "CPIMA" 319795 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-178 315902 316574 317293 "COORDSYS" 318889 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-177 315314 315435 315577 "CONTOUR" 315780 T CONTOUR (NIL) -8 NIL NIL NIL) (-176 311205 313317 313809 "CONTFRAC" 314854 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-175 311085 311106 311134 "CONDUIT" 311171 T CONDUIT (NIL) -9 NIL NIL NIL) (-174 310159 310713 310741 "COMRING" 310746 T COMRING (NIL) -9 NIL 310798 NIL) (-173 309213 309517 309701 "COMPPROP" 309995 T COMPPROP (NIL) -8 NIL NIL NIL) (-172 308874 308909 309037 "COMPLPAT" 309172 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-171 298177 308683 308792 "COMPLEX" 308797 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 297813 297870 297977 "COMPLEX2" 298114 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-169 297152 297273 297433 "COMPILER" 297673 T COMPILER (NIL) -8 NIL NIL NIL) (-168 296870 296905 297003 "COMPFACT" 297111 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-167 279149 290574 290614 "COMPCAT" 291618 NIL COMPCAT (NIL T) -9 NIL 292966 NIL) (-166 268661 271588 275215 "COMPCAT-" 275571 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-165 268390 268418 268521 "COMMUPC" 268627 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-164 268184 268218 268277 "COMMONOP" 268351 T COMMONOP (NIL) -7 NIL NIL NIL) (-163 267740 267935 268022 "COMM" 268117 T COMM (NIL) -8 NIL NIL NIL) (-162 267316 267544 267619 "COMMAAST" 267685 T COMMAAST (NIL) -8 NIL NIL NIL) (-161 266565 266759 266787 "COMBOPC" 267125 T COMBOPC (NIL) -9 NIL 267300 NIL) (-160 265461 265671 265913 "COMBINAT" 266355 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-159 261918 262492 263119 "COMBF" 264883 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-158 260676 261034 261269 "COLOR" 261703 T COLOR (NIL) -8 NIL NIL NIL) (-157 260152 260397 260489 "COLONAST" 260604 T COLONAST (NIL) -8 NIL NIL NIL) (-156 259792 259839 259964 "CMPLXRT" 260099 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-155 259240 259492 259591 "CLLCTAST" 259713 T CLLCTAST (NIL) -8 NIL NIL NIL) (-154 254742 255770 256850 "CLIP" 258180 T CLIP (NIL) -7 NIL NIL NIL) (-153 253083 253843 254083 "CLIF" 254569 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-152 249232 251201 251242 "CLAGG" 252171 NIL CLAGG (NIL T) -9 NIL 252707 NIL) (-151 247654 248111 248694 "CLAGG-" 248699 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-150 247198 247283 247423 "CINTSLPE" 247563 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-149 244699 245170 245718 "CHVAR" 246726 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-148 243859 244413 244441 "CHARZ" 244446 T CHARZ (NIL) -9 NIL 244461 NIL) (-147 243613 243653 243731 "CHARPOL" 243813 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-146 242657 243244 243272 "CHARNZ" 243319 T CHARNZ (NIL) -9 NIL 243375 NIL) (-145 240563 241311 241664 "CHAR" 242324 T CHAR (NIL) -8 NIL NIL NIL) (-144 240289 240350 240378 "CFCAT" 240489 T CFCAT (NIL) -9 NIL NIL NIL) (-143 239530 239641 239824 "CDEN" 240173 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-142 235495 238683 238963 "CCLASS" 239270 T CCLASS (NIL) -8 NIL NIL NIL) (-141 234746 234903 235080 "CATEGORY" 235338 T -10 (NIL) -8 NIL NIL NIL) (-140 234319 234665 234713 "CATCTOR" 234718 T CATCTOR (NIL) -8 NIL NIL NIL) (-139 233770 234022 234120 "CATAST" 234241 T CATAST (NIL) -8 NIL NIL NIL) (-138 233246 233491 233583 "CASEAST" 233698 T CASEAST (NIL) -8 NIL NIL NIL) (-137 228384 229403 230147 "CARTEN" 232558 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 227492 227640 227861 "CARTEN2" 228231 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-135 225808 226642 226899 "CARD" 227255 T CARD (NIL) -8 NIL NIL NIL) (-134 225384 225612 225687 "CAPSLAST" 225753 T CAPSLAST (NIL) -8 NIL NIL NIL) (-133 224874 225082 225110 "CACHSET" 225242 T CACHSET (NIL) -9 NIL 225320 NIL) (-132 224330 224652 224680 "CABMON" 224730 T CABMON (NIL) -9 NIL 224786 NIL) (-131 223803 224034 224144 "BYTEORD" 224240 T BYTEORD (NIL) -8 NIL NIL NIL) (-130 222780 223332 223474 "BYTE" 223637 T BYTE (NIL) -8 NIL NIL 223759) (-129 218132 222285 222457 "BYTEBUF" 222628 T BYTEBUF (NIL) -8 NIL NIL NIL) (-128 215643 217824 217931 "BTREE" 218058 NIL BTREE (NIL T) -8 NIL NIL NIL) (-127 213094 215291 215413 "BTOURN" 215553 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-126 210438 212536 212577 "BTCAT" 212645 NIL BTCAT (NIL T) -9 NIL 212722 NIL) (-125 210105 210185 210334 "BTCAT-" 210339 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-124 205484 209364 209392 "BTAGG" 209506 T BTAGG (NIL) -9 NIL 209616 NIL) (-123 204974 205099 205305 "BTAGG-" 205310 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-122 201971 204252 204467 "BSTREE" 204791 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-121 201109 201235 201419 "BRILL" 201827 NIL BRILL (NIL T) -7 NIL NIL NIL) (-120 197735 199807 199848 "BRAGG" 200497 NIL BRAGG (NIL T) -9 NIL 200755 NIL) (-119 196264 196670 197225 "BRAGG-" 197230 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-118 189180 195608 195793 "BPADICRT" 196111 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-117 187495 189117 189162 "BPADIC" 189167 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-116 187193 187223 187337 "BOUNDZRO" 187459 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-115 182421 183619 184531 "BOP" 186301 T BOP (NIL) -8 NIL NIL NIL) (-114 180202 180606 181081 "BOP1" 181979 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-113 179903 179964 179992 "BOOLE" 180103 T BOOLE (NIL) -9 NIL 180185 NIL) (-112 178728 179477 179626 "BOOLEAN" 179774 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 177993 178397 178451 "BMODULE" 178456 NIL BMODULE (NIL T T) -9 NIL 178521 NIL) (-110 173794 177791 177864 "BITS" 177940 T BITS (NIL) -8 NIL NIL NIL) (-109 173215 173334 173474 "BINDING" 173674 T BINDING (NIL) -8 NIL NIL NIL) (-108 166934 172810 172959 "BINARY" 173086 T BINARY (NIL) -8 NIL NIL NIL) (-107 164688 166161 166202 "BGAGG" 166462 NIL BGAGG (NIL T) -9 NIL 166599 NIL) (-106 164519 164551 164642 "BGAGG-" 164647 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 163590 163903 164108 "BFUNCT" 164334 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 162280 162458 162746 "BEZOUT" 163414 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 158751 161132 161462 "BBTREE" 161983 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 158460 158513 158541 "BASTYPE" 158660 T BASTYPE (NIL) -9 NIL 158734 NIL) (-101 158312 158341 158414 "BASTYPE-" 158419 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 157746 157822 157974 "BALFACT" 158223 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 156602 157161 157347 "AUTOMOR" 157591 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 156328 156333 156359 "ATTREG" 156364 T ATTREG (NIL) -9 NIL NIL NIL) (-97 154580 155025 155377 "ATTRBUT" 155994 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 154188 154408 154474 "ATTRAST" 154532 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 153724 153837 153863 "ATRIG" 154064 T ATRIG (NIL) -9 NIL NIL NIL) (-94 153533 153574 153661 "ATRIG-" 153666 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 153164 153350 153376 "ASTCAT" 153381 T ASTCAT (NIL) -9 NIL 153411 NIL) (-92 152891 152950 153069 "ASTCAT-" 153074 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 151042 152667 152755 "ASTACK" 152834 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 149547 149844 150209 "ASSOCEQ" 150724 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 148579 149206 149330 "ASP9" 149454 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 148342 148527 148566 "ASP8" 148571 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 147210 147947 148089 "ASP80" 148231 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 146108 146845 146977 "ASP7" 147109 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 145062 145785 145903 "ASP78" 146021 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 144031 144742 144859 "ASP77" 144976 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 142943 143669 143800 "ASP74" 143931 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 141843 142578 142710 "ASP73" 142842 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 140947 141669 141769 "ASP6" 141774 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 139894 140624 140742 "ASP55" 140860 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 138843 139568 139687 "ASP50" 139806 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 137931 138544 138654 "ASP4" 138764 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 137019 137632 137742 "ASP49" 137852 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 135803 136558 136726 "ASP42" 136908 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 134580 135336 135506 "ASP41" 135690 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 133530 134257 134375 "ASP35" 134493 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 133295 133478 133517 "ASP34" 133522 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 133032 133099 133175 "ASP33" 133250 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 131926 132667 132799 "ASP31" 132931 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 131691 131874 131913 "ASP30" 131918 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 131426 131495 131571 "ASP29" 131646 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 131191 131374 131413 "ASP28" 131418 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 130956 131139 131178 "ASP27" 131183 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 130040 130654 130765 "ASP24" 130876 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 129117 129842 129954 "ASP20" 129959 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 128205 128818 128928 "ASP1" 129038 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 127148 127879 127998 "ASP19" 128117 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 126885 126952 127028 "ASP12" 127103 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 125737 126484 126628 "ASP10" 126772 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 123590 125581 125672 "ARRAY2" 125677 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 119357 123238 123352 "ARRAY1" 123507 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 118389 118562 118783 "ARRAY12" 119180 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 112675 114591 114666 "ARR2CAT" 117296 NIL ARR2CAT (NIL T T T) -9 NIL 118054 NIL) (-56 110109 110853 111807 "ARR2CAT-" 111812 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 109426 109736 109861 "ARITY" 110002 T ARITY (NIL) -8 NIL NIL NIL) (-54 108202 108354 108653 "APPRULE" 109262 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 107853 107901 108020 "APPLYORE" 108148 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 107207 107446 107566 "ANY" 107751 T ANY (NIL) -8 NIL NIL NIL) (-51 106485 106608 106765 "ANY1" 107081 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 104015 104922 105249 "ANTISYM" 106209 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 103507 103722 103818 "ANON" 103937 T ANON (NIL) -8 NIL NIL NIL) (-48 97507 102046 102500 "AN" 103071 T AN (NIL) -8 NIL NIL NIL) (-47 93391 94779 94830 "AMR" 95578 NIL AMR (NIL T T) -9 NIL 96178 NIL) (-46 92503 92724 93087 "AMR-" 93092 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 76946 92420 92481 "ALIST" 92486 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 73751 76540 76709 "ALGSC" 76864 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 70307 70861 71468 "ALGPKG" 73191 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 69584 69685 69869 "ALGMFACT" 70193 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 65619 66198 66792 "ALGMANIP" 69168 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 55830 65245 65395 "ALGFF" 65552 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 55026 55157 55336 "ALGFACT" 55688 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 53953 54553 54591 "ALGEBRA" 54596 NIL ALGEBRA (NIL T) -9 NIL 54637 NIL) (-37 53671 53730 53862 "ALGEBRA-" 53867 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 35666 51569 51621 "ALAGG" 51757 NIL ALAGG (NIL T T) -9 NIL 51918 NIL) (-35 35202 35315 35341 "AHYP" 35542 T AHYP (NIL) -9 NIL NIL NIL) (-34 34133 34381 34407 "AGG" 34906 T AGG (NIL) -9 NIL 35185 NIL) (-33 33567 33729 33943 "AGG-" 33948 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 31373 31796 32201 "AF" 33209 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 30853 31098 31188 "ADDAST" 31301 T ADDAST (NIL) -8 NIL NIL NIL) (-30 30121 30380 30536 "ACPLOT" 30715 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 18744 27053 27091 "ACFS" 27698 NIL ACFS (NIL T) -9 NIL 27937 NIL) (-28 16771 17261 18023 "ACFS-" 18028 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 12875 14804 14830 "ACF" 15709 T ACF (NIL) -9 NIL 16122 NIL) (-26 11579 11913 12406 "ACF-" 12411 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 11137 11332 11358 "ABELSG" 11450 T ABELSG (NIL) -9 NIL 11515 NIL) (-24 11004 11029 11095 "ABELSG-" 11100 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 10333 10620 10646 "ABELMON" 10816 T ABELMON (NIL) -9 NIL 10928 NIL) (-22 9997 10081 10219 "ABELMON-" 10224 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 9331 9703 9729 "ABELGRP" 9801 T ABELGRP (NIL) -9 NIL 9876 NIL) (-20 8794 8923 9139 "ABELGRP-" 9144 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 ad3c96dd..2be65a1d 100644 --- a/src/share/algebra/operation.daase +++ b/src/share/algebra/operation.daase @@ -1,10 +1,10 @@ -(731278 . 3486628452) -(((*1 *2 *1 *3) - (-12 (-5 *3 (-783)) (-4 *4 (-1068)) - (-5 *2 (-2 (|:| -1482 *1) (|:| -1509 *1))) (-4 *1 (-1262 *4))))) -(((*1 *1 *1 *2) (-12 (-4 *1 (-732)) (-5 *2 (-938)))) - ((*1 *1 *1 *2) (-12 (-4 *1 (-734)) (-5 *2 (-783))))) +(731430 . 3486658190) +(((*1 *2 *1) + (-12 (-4 *1 (-1262 *3)) (-4 *3 (-1068)) (-5 *2 (-1191 *3))))) +(((*1 *2 *2 *3) + (-12 (-4 *3 (-568)) (-4 *4 (-384 *3)) (-4 *5 (-384 *3)) + (-5 *1 (-1226 *3 *4 *5 *2)) (-4 *2 (-699 *3 *4 *5))))) (((*1 *2 *1 *2 *3) (-12 (-5 *3 (-656 (-1177))) (-5 *2 (-1177)) (-5 *1 (-1287)))) ((*1 *2 *1 *2 *2) (-12 (-5 *2 (-1177)) (-5 *1 (-1287)))) @@ -13,66 +13,54 @@ (-12 (-5 *3 (-656 (-1177))) (-5 *2 (-1177)) (-5 *1 (-1288)))) ((*1 *2 *1 *2 *2) (-12 (-5 *2 (-1177)) (-5 *1 (-1288)))) ((*1 *2 *1 *2) (-12 (-5 *2 (-1177)) (-5 *1 (-1288))))) +(((*1 *2) + (-12 (-5 *2 (-112)) (-5 *1 (-1176 *3)) (-4 *3 (-1119)) + (-4 *3 (-1236))))) +(((*1 *2 *2) + (-12 (-4 *2 (-174)) (-4 *2 (-1068)) (-5 *1 (-726 *2 *3)) + (-4 *3 (-660 *2)))) + ((*1 *2 *2) (-12 (-5 *1 (-848 *2)) (-4 *2 (-174)) (-4 *2 (-1068))))) (((*1 *2 *3) - (-12 (-5 *3 (-1286 (-1286 *4))) (-4 *4 (-1068)) (-5 *2 (-701 *4)) - (-5 *1 (-1048 *4))))) -(((*1 *2 *1) - (-12 (-4 *4 (-1119)) (-5 *2 (-112)) (-5 *1 (-898 *3 *4 *5)) - (-4 *3 (-1119)) (-4 *5 (-678 *4)))) - ((*1 *2 *1) - (-12 (-5 *2 (-112)) (-5 *1 (-902 *3 *4)) (-4 *3 (-1119)) - (-4 *4 (-1119))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-419 (-969 (-171 (-576))))) (-5 *2 (-656 (-171 *4))) - (-5 *1 (-389 *4)) (-4 *4 (-13 (-374) (-860))))) - ((*1 *2 *3 *4 *5) - (-12 (-5 *3 (-656 (-419 (-969 (-171 (-576)))))) - (-5 *4 (-656 (-1195))) (-5 *2 (-656 (-656 (-171 *5)))) - (-5 *1 (-389 *5)) (-4 *5 (-13 (-374) (-860)))))) + (-12 (-5 *3 (-1177)) (-5 *2 (-656 (-703 (-290)))) (-5 *1 (-169))))) (((*1 *2 *1) (-12 (-5 *2 (-656 *4)) (-5 *1 (-1160 *3 *4)) (-4 *3 (-13 (-1119) (-34))) (-4 *4 (-13 (-1119) (-34)))))) -(((*1 *1 *1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-337 *3)) (-4 *3 (-1236)))) - ((*1 *1 *1 *2) - (-12 (-5 *2 (-576)) (-5 *1 (-528 *3 *4)) (-4 *3 (-1236)) (-14 *4 *2)))) -(((*1 *2 *3) - (-12 (-5 *2 (-1 (-960 *3) (-960 *3))) (-5 *1 (-178 *3)) - (-4 *3 (-13 (-374) (-1221) (-1021)))))) -(((*1 *2 *1 *1) - (-12 (-5 *2 (-419 (-576))) (-5 *1 (-1043 *3)) - (-4 *3 (-13 (-860) (-374) (-1041))))) - ((*1 *2 *3 *1 *2) - (-12 (-4 *2 (-13 (-860) (-374))) (-5 *1 (-1080 *2 *3)) - (-4 *3 (-1262 *2)))) - ((*1 *2 *3 *1 *2) - (-12 (-4 *1 (-1087 *2 *3)) (-4 *2 (-13 (-860) (-374))) - (-4 *3 (-1262 *2))))) -(((*1 *2 *3 *4 *4 *3) - (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1054)) - (-5 *1 (-763))))) -(((*1 *2 *3 *3) - (-12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-862)) - (-4 *7 (-1084 *4 *5 *6)) (-5 *2 (-112)) - (-5 *1 (-1007 *4 *5 *6 *7 *3)) (-4 *3 (-1090 *4 *5 *6 *7)))) - ((*1 *2 *3 *3) - (-12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-862)) - (-4 *7 (-1084 *4 *5 *6)) (-5 *2 (-112)) - (-5 *1 (-1126 *4 *5 *6 *7 *3)) (-4 *3 (-1090 *4 *5 *6 *7))))) +(((*1 *2 *1) (-12 (-4 *1 (-1119)) (-5 *2 (-1177))))) +(((*1 *2 *1) + (-12 (-5 *2 (-656 (-576))) (-5 *1 (-1023 *3)) (-14 *3 (-576))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1054)) (-5 *1 (-770))))) +(((*1 *2 *2) + (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2)) + (-4 *2 (-13 (-442 *3) (-1021)))))) +(((*1 *2 *2) + (-12 (-4 *3 (-568)) (-5 *1 (-41 *3 *2)) + (-4 *2 + (-13 (-374) (-312) + (-10 -8 (-15 -1526 ((-1144 *3 (-624 $)) $)) + (-15 -1537 ((-1144 *3 (-624 $)) $)) + (-15 -3581 ($ (-1144 *3 (-624 $)))))))))) (((*1 *1 *1) (-4 *1 (-557)))) -(((*1 *1 *2) - (-12 (-5 *2 (-684 *3)) (-4 *3 (-862)) (-4 *1 (-385 *3 *4)) - (-4 *4 (-174))))) -(((*1 *1 *1) - (-12 (-4 *1 (-1084 *2 *3 *4)) (-4 *2 (-1068)) (-4 *3 (-805)) - (-4 *4 (-862)) (-4 *2 (-464))))) -(((*1 *2 *1 *1) - (-12 (-4 *3 (-568)) (-4 *3 (-1068)) - (-5 *2 (-2 (|:| -1482 *1) (|:| -1509 *1))) (-4 *1 (-864 *3)))) - ((*1 *2 *3 *3 *4) - (-12 (-5 *4 (-99 *5)) (-4 *5 (-568)) (-4 *5 (-1068)) - (-5 *2 (-2 (|:| -1482 *3) (|:| -1509 *3))) (-5 *1 (-865 *5 *3)) - (-4 *3 (-864 *5))))) -(((*1 *2 *1 *2) (-12 (-5 *2 (-783)) (-5 *1 (-129))))) +(((*1 *2 *3 *4) + (-12 (-5 *4 (-112)) (-4 *5 (-360)) + (-5 *2 + (-2 (|:| |cont| *5) + (|:| -2389 (-656 (-2 (|:| |irr| *3) (|:| -1531 (-576))))))) + (-5 *1 (-218 *5 *3)) (-4 *3 (-1262 *5))))) +(((*1 *2 *3) + (-12 (-5 *3 (-419 (-969 *4))) (-4 *4 (-317)) + (-5 *2 (-419 (-430 (-969 *4)))) (-5 *1 (-1061 *4))))) +(((*1 *2 *2) + (-12 (-5 *2 (-112)) (-5 *1 (-454 *3)) (-4 *3 (-1262 (-576)))))) +(((*1 *2 *2 *3) + (-12 (-5 *3 (-656 *2)) (-4 *2 (-966 *4 *5 *6)) (-4 *4 (-374)) + (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-862)) + (-5 *1 (-462 *4 *5 *6 *2)))) + ((*1 *2 *3 *4 *5) + (-12 (-5 *4 (-99 *6)) (-5 *5 (-1 *6 *6)) (-4 *6 (-374)) + (-5 *2 + (-2 (|:| R (-701 *6)) (|:| A (-701 *6)) (|:| |Ainv| (-701 *6)))) + (-5 *1 (-997 *6)) (-5 *3 (-701 *6))))) (((*1 *2 *3 *4 *5) (-12 (-5 *5 (-1113 *3)) (-4 *3 (-966 *7 *6 *4)) (-4 *6 (-805)) (-4 *4 (-862)) (-4 *7 (-568)) @@ -108,83 +96,61 @@ (-4 *5 (-13 (-568) (-1057 (-576)))) (-5 *2 (-3 *3 (-326 *5))) (-5 *1 (-1188 *5))))) (((*1 *2 *1) (-12 (-5 *2 (-1123)) (-5 *1 (-52))))) -(((*1 *2 *3 *4 *4 *5 *6) - (-12 (-5 *3 (-656 (-656 (-960 (-227))))) (-5 *4 (-886)) - (-5 *5 (-938)) (-5 *6 (-656 (-270))) (-5 *2 (-480)) (-5 *1 (-1290)))) - ((*1 *2 *3) - (-12 (-5 *3 (-656 (-656 (-960 (-227))))) (-5 *2 (-480)) - (-5 *1 (-1290)))) - ((*1 *2 *3 *4) - (-12 (-5 *3 (-656 (-656 (-960 (-227))))) (-5 *4 (-656 (-270))) - (-5 *2 (-480)) (-5 *1 (-1290))))) -(((*1 *1 *1) - (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1068))))) -(((*1 *1 *1 *2) - (-12 (-5 *2 (-783)) (-4 *1 (-385 *3 *4)) (-4 *3 (-862)) - (-4 *4 (-174)))) - ((*1 *1 *1 *2) - (-12 (-5 *2 (-783)) (-4 *1 (-1307 *3 *4)) (-4 *3 (-862)) - (-4 *4 (-1068))))) -(((*1 *2 *1 *3) (-12 (-5 *3 (-1177)) (-5 *2 (-1291)) (-5 *1 (-834))))) -(((*1 *2 *3 *2 *4 *5) - (-12 (-5 *2 (-656 *3)) (-5 *5 (-938)) (-4 *3 (-1262 *4)) - (-4 *4 (-317)) (-5 *1 (-472 *4 *3))))) -(((*1 *1 *1) - (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1068))))) +(((*1 *2) (-12 (-5 *2 (-1177)) (-5 *1 (-1205))))) +(((*1 *2 *3 *3 *3 *4 *4 *4 *4 *4 *5 *3 *3 *3 *6 *4 *3) + (-12 (-5 *4 (-701 (-227))) (-5 *5 (-701 (-576))) (-5 *6 (-227)) + (-5 *3 (-576)) (-5 *2 (-1054)) (-5 *1 (-764))))) +(((*1 *2 *2) (-12 (-5 *2 (-1177)) (-5 *1 (-874))))) +(((*1 *2 *2 *3) + (-12 (-4 *3 (-374)) (-5 *1 (-295 *3 *2)) (-4 *2 (-1277 *3))))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *3 (-1 (-112) *6 *6)) (-4 *6 (-862)) (-5 *4 (-656 *6)) + (-5 *2 (-2 (|:| |fs| (-112)) (|:| |sd| *4) (|:| |td| (-656 *4)))) + (-5 *1 (-1206 *6)) (-5 *5 (-656 *4))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-656 (-792 *5 (-876 *6)))) (-5 *4 (-112)) (-4 *5 (-464)) + (-14 *6 (-656 (-1195))) (-5 *2 (-656 (-1065 *5 *6))) + (-5 *1 (-640 *5 *6))))) (((*1 *1 *1 *2) (-12 (-5 *2 (-656 (-270))) (-5 *1 (-1287)))) ((*1 *2 *1) (-12 (-5 *2 (-656 (-270))) (-5 *1 (-1287)))) ((*1 *1 *1 *2) (-12 (-5 *2 (-656 (-270))) (-5 *1 (-1288)))) ((*1 *2 *1) (-12 (-5 *2 (-656 (-270))) (-5 *1 (-1288))))) (((*1 *2 *1) (-12 (-5 *2 (-1291)) (-5 *1 (-1287)))) ((*1 *2 *1) (-12 (-5 *2 (-1291)) (-5 *1 (-1288))))) -(((*1 *2 *1) (-12 (-5 *2 (-1195)) (-5 *1 (-834))))) -(((*1 *2 *1) - (-12 (-4 *1 (-1153 *3)) (-4 *3 (-1068)) (-5 *2 (-656 (-960 *3))))) - ((*1 *1 *2) - (-12 (-5 *2 (-656 (-960 *3))) (-4 *3 (-1068)) (-4 *1 (-1153 *3)))) - ((*1 *1 *1 *2) - (-12 (-5 *2 (-656 (-656 *3))) (-4 *1 (-1153 *3)) (-4 *3 (-1068)))) - ((*1 *1 *1 *2) - (-12 (-5 *2 (-656 (-960 *3))) (-4 *1 (-1153 *3)) (-4 *3 (-1068))))) +(((*1 *1 *2) + (-12 (-5 *2 (-656 (-656 *3))) (-4 *3 (-1119)) (-4 *1 (-920 *3))))) (((*1 *2 *3 *2) - (-12 (-5 *1 (-691 *3 *2)) (-4 *3 (-1119)) (-4 *2 (-1119))))) -(((*1 *2 *3) - (-12 - (-5 *3 - (-2 (|:| |lcmfij| *5) (|:| |totdeg| (-783)) (|:| |poli| *2) - (|:| |polj| *2))) - (-4 *5 (-805)) (-4 *2 (-966 *4 *5 *6)) (-5 *1 (-461 *4 *5 *6 *2)) - (-4 *4 (-464)) (-4 *6 (-862))))) -(((*1 *2 *2) - (-12 (-4 *3 (-374)) (-4 *4 (-384 *3)) (-4 *5 (-384 *3)) - (-5 *1 (-533 *3 *4 *5 *2)) (-4 *2 (-699 *3 *4 *5)))) + (|partial| -12 (-5 *2 (-1286 *4)) (-5 *3 (-701 *4)) (-4 *4 (-374)) + (-5 *1 (-679 *4)))) + ((*1 *2 *3 *2) + (|partial| -12 (-4 *4 (-374)) + (-4 *5 (-13 (-384 *4) (-10 -7 (-6 -4463)))) + (-4 *2 (-13 (-384 *4) (-10 -7 (-6 -4463)))) + (-5 *1 (-680 *4 *5 *2 *3)) (-4 *3 (-699 *4 *5 *2)))) + ((*1 *2 *3 *2 *4 *5) + (|partial| -12 (-5 *4 (-656 *2)) (-5 *5 (-1 *2 *2)) (-4 *2 (-374)) + (-5 *1 (-826 *2 *3)) (-4 *3 (-668 *2)))) ((*1 *2 *3) - (-12 (-4 *4 (-568)) (-4 *5 (-384 *4)) (-4 *6 (-384 *4)) - (-4 *7 (-1011 *4)) (-4 *2 (-699 *7 *8 *9)) - (-5 *1 (-534 *4 *5 *6 *3 *7 *8 *9 *2)) (-4 *3 (-699 *4 *5 *6)) - (-4 *8 (-384 *7)) (-4 *9 (-384 *7)))) - ((*1 *1 *1) - (-12 (-4 *1 (-699 *2 *3 *4)) (-4 *2 (-1068)) (-4 *3 (-384 *2)) - (-4 *4 (-384 *2)) (-4 *2 (-317)))) - ((*1 *2 *2) - (-12 (-4 *3 (-317)) (-4 *3 (-174)) (-4 *4 (-384 *3)) - (-4 *5 (-384 *3)) (-5 *1 (-700 *3 *4 *5 *2)) - (-4 *2 (-699 *3 *4 *5)))) - ((*1 *2 *2 *3) - (-12 (-5 *2 (-701 *3)) (-4 *3 (-317)) (-5 *1 (-712 *3)))) - ((*1 *1 *1) - (-12 (-4 *1 (-1072 *2 *3 *4 *5 *6)) (-4 *4 (-1068)) - (-4 *5 (-243 *3 *4)) (-4 *6 (-243 *2 *4)) (-4 *4 (-317))))) -(((*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-1119)) (-5 *1 (-91 *3))))) -(((*1 *2 *2) (-12 (-5 *2 (-112)) (-5 *1 (-1054))))) -(((*1 *2 *1) - (-12 (-5 *2 (-1176 (-419 *3))) (-5 *1 (-176 *3)) (-4 *3 (-317))))) -(((*1 *1) (-5 *1 (-158))) - ((*1 *2 *1) (-12 (-4 *1 (-1063 *2)) (-4 *2 (-23))))) -(((*1 *2 *1) - (-12 (-5 *2 (-419 (-969 *3))) (-5 *1 (-465 *3 *4 *5 *6)) - (-4 *3 (-568)) (-4 *3 (-174)) (-14 *4 (-938)) - (-14 *5 (-656 (-1195))) (-14 *6 (-1286 (-701 *3)))))) + (-12 (-4 *2 (-13 (-374) (-10 -8 (-15 ** ($ $ (-419 (-576))))))) + (-5 *1 (-1147 *3 *2)) (-4 *3 (-1262 *2))))) +(((*1 *2 *3 *2) + (-12 (-5 *1 (-691 *3 *2)) (-4 *3 (-1119)) (-4 *2 (-1119))))) +(((*1 *1) (-5 *1 (-518)))) +(((*1 *2 *3 *4 *5 *4 *4 *4) + (-12 (-4 *6 (-862)) (-5 *3 (-656 *6)) (-5 *5 (-656 *3)) + (-5 *2 + (-2 (|:| |f1| *3) (|:| |f2| (-656 *5)) (|:| |f3| *5) + (|:| |f4| (-656 *5)))) + (-5 *1 (-1206 *6)) (-5 *4 (-656 *5))))) +(((*1 *2 *1) (-12 (-5 *2 (-419 (-576))) (-5 *1 (-108)))) + ((*1 *2 *1) (-12 (-5 *2 (-419 (-576))) (-5 *1 (-219)))) + ((*1 *2 *1) (-12 (-5 *2 (-419 (-576))) (-5 *1 (-499)))) + ((*1 *1 *1) (-12 (-4 *1 (-1011 *2)) (-4 *2 (-568)) (-4 *2 (-317)))) + ((*1 *2 *1) + (-12 (-5 *2 (-419 (-576))) (-5 *1 (-1023 *3)) (-14 *3 (-576)))) + ((*1 *1 *1) (-4 *1 (-1079)))) +(((*1 *2 *3) (-12 (-5 *3 (-1177)) (-5 *2 (-52)) (-5 *1 (-841))))) +(((*1 *2 *3) (-12 (-5 *3 (-1177)) (-5 *2 (-1291)) (-5 *1 (-594))))) (((*1 *2 *2 *3) (-12 (-5 *3 (-1195)) (-4 *4 (-13 (-317) (-148) (-1057 (-576)) (-651 (-576)))) @@ -193,55 +159,89 @@ (-12 (-5 *3 (-419 (-969 *5))) (-5 *4 (-1195)) (-4 *5 (-148)) (-4 *5 (-13 (-464) (-1057 (-576)) (-651 (-576)))) (-5 *2 (-326 *5)) (-5 *1 (-601 *5))))) +(((*1 *2) (-12 (-5 *2 (-1291)) (-5 *1 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(-656 (-701 *4))) (-5 *3 (-938)) - (|has| *4 (-6 (-4464 "*"))) (-4 *4 (-1068)) (-5 *1 (-1047 *4))))) + (-12 (-5 *3 (-1195)) (-4 *4 (-464)) (-4 *4 (-1119)) + (-5 *1 (-585 *4 *2)) (-4 *2 (-294)) (-4 *2 (-442 *4))))) +(((*1 *1 *2) + (-12 + (-5 *2 + (-656 + (-2 + (|:| -4300 + (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) + (|:| -4005 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) + (|:| |relerr| (-227)))) + (|:| -4391 + (-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| (-1176 (-227))) + (|:| |notEvaluated| + "Internal singularities not yet evaluated"))) + (|:| -4005 + (-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 (-571))))) +(((*1 *2 *3 *2) + (-12 (-5 *2 (-886)) (-5 *3 (-656 (-270))) (-5 *1 (-268))))) (((*1 *1 *1) (-12 (-4 *1 (-120 *2)) (-4 *2 (-1236)))) ((*1 *1 *1) (-12 (-5 *1 (-684 *2)) (-4 *2 (-862)))) ((*1 *1 *1) (-12 (-5 *1 (-689 *2)) (-4 *2 (-862)))) @@ -950,33 +1223,31 @@ ((*1 *2 *1) (-12 (-4 *2 (-13 (-860) (-374))) (-5 *1 (-1080 *2 *3)) (-4 *3 (-1262 *2))))) -(((*1 *2 *3 *4 *4 *5) - (-12 (-5 *3 (-1177)) (-5 *4 (-576)) (-5 *5 (-701 (-227))) - (-5 *2 (-1054)) (-5 *1 (-769))))) -(((*1 *2 *1) (-12 (-4 *1 (-1168 *3)) (-4 *3 (-1236)) (-5 *2 (-112))))) -(((*1 *2 *3) - (-12 (-5 *3 (-1177)) - (-4 *4 (-13 (-464) (-1057 (-576)) (-651 (-576)))) (-5 *2 (-112)) - (-5 *1 (-226 *4 *5)) (-4 *5 (-13 (-1221) (-29 *4)))))) -(((*1 *1 *2 *2 *3 *1) - (-12 (-5 *2 (-518)) (-5 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(-862)))) ((*1 *1 *1) (-12 (-5 *1 (-689 *2)) (-4 *2 (-862)))) @@ -985,250 +1256,144 @@ ((*1 *2 *1) (-12 (-4 *2 (-13 (-860) (-374))) (-5 *1 (-1080 *2 *3)) (-4 *3 (-1262 *2))))) -(((*1 *1 *1) (-4 *1 (-568)))) -(((*1 *2 *2) - (-12 - (-5 *2 - (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| *4) - (|:| |xpnt| (-576)))) - (-4 *4 (-13 (-1262 *3) (-568) (-10 -8 (-15 -3508 ($ $ $))))) - (-4 *3 (-568)) (-5 *1 (-1265 *3 *4))))) -(((*1 *2 *3 *4) - (-12 (-4 *5 (-568)) - (-5 *2 (-2 (|:| -3199 (-701 *5)) (|:| |vec| (-1286 (-656 (-938)))))) - (-5 *1 (-90 *5 *3)) (-5 *4 (-938)) (-4 *3 (-668 *5))))) -(((*1 *2) - (-12 (-4 *3 (-464)) (-4 *4 (-805)) (-4 *5 (-862)) - (-4 *6 (-1084 *3 *4 *5)) (-5 *2 (-1291)) - (-5 *1 (-1091 *3 *4 *5 *6 *7)) (-4 *7 (-1090 *3 *4 *5 *6)))) - ((*1 *2) - (-12 (-4 *3 (-464)) (-4 *4 (-805)) (-4 *5 (-862)) - (-4 *6 (-1084 *3 *4 *5)) (-5 *2 (-1291)) - (-5 *1 (-1127 *3 *4 *5 *6 *7)) (-4 *7 (-1090 *3 *4 *5 *6))))) +(((*1 *1 *1) + (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 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*3) - (-12 (-5 *2 (-1286 *4)) (-5 *3 (-1286 *1)) (-4 *4 (-174)) - (-4 *1 (-381 *4 *5)) (-4 *5 (-1262 *4)))) - ((*1 *1 *2) - (-12 (-5 *2 (-1286 *3)) (-4 *3 (-174)) (-4 *1 (-421 *3 *4)) - (-4 *4 (-1262 *3)))) - ((*1 *1 *2) (-12 (-5 *2 (-1286 *3)) (-4 *3 (-174)) (-4 *1 (-429 *3))))) +(((*1 *2 *3 *4 *2 *2 *5) + (|partial| -12 (-5 *2 (-855 *4)) (-5 *3 (-624 *4)) (-5 *5 (-112)) + (-4 *4 (-13 (-1221) (-29 *6))) + (-4 *6 (-13 (-464) (-1057 (-576)) (-651 (-576)))) + (-5 *1 (-226 *6 *4))))) (((*1 *2 *2) (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2)) (-4 *2 (-13 (-442 *3) (-1021))))) @@ -3107,12 +3067,75 @@ ((*1 *2 *2) (-12 (-5 *2 (-1176 *3)) (-4 *3 (-38 (-419 (-576)))) (-5 *1 (-1181 *3))))) -(((*1 *1 *1 *2) (-12 (-5 *2 (-656 (-874))) (-5 *1 (-874))))) -(((*1 *2 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-565))))) -(((*1 *1 *1) - (-12 (-5 *1 (-1160 *2 *3)) (-4 *2 (-13 (-1119) (-34))) - (-4 *3 (-13 (-1119) (-34)))))) -(((*1 *2 *1) (-12 (-4 *1 (-809 *2)) (-4 *2 (-174))))) +(((*1 *2 *1) (-12 (-4 *1 (-47 *3 *2)) (-4 *3 (-1068)) (-4 *2 (-804)))) + ((*1 *2 *1) + (-12 (-5 *2 (-783)) (-5 *1 (-50 *3 *4)) (-4 *3 (-1068)) + (-14 *4 (-656 (-1195))))) + ((*1 *2 *1) + (-12 (-5 *2 (-576)) (-5 *1 (-225 *3 *4)) (-4 *3 (-13 (-1068) (-862))) + (-14 *4 (-656 (-1195))))) + ((*1 *2 *1 *3) + (-12 (-4 *1 (-260 *4 *3 *5 *6)) (-4 *4 (-1068)) (-4 *3 (-862)) + (-4 *5 (-275 *3)) (-4 *6 (-805)) (-5 *2 (-783)))) + ((*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-284)))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-1191 *8)) (-5 *4 (-656 *6)) (-4 *6 (-862)) + (-4 *8 (-966 *7 *5 *6)) (-4 *5 (-805)) (-4 *7 (-1068)) + (-5 *2 (-656 (-783))) (-5 *1 (-331 *5 *6 *7 *8)))) + ((*1 *2 *1) (-12 (-4 *1 (-339 *3)) (-4 *3 (-374)) (-5 *2 (-938)))) + ((*1 *2 *1) + (-12 (-4 *1 (-385 *3 *4)) (-4 *3 (-862)) (-4 *4 (-174)) + (-5 *2 (-783)))) + ((*1 *2 *1) (-12 (-4 *1 (-482 *3 *2)) (-4 *3 (-174)) (-4 *2 (-23)))) + ((*1 *2 *1) + (-12 (-4 *3 (-568)) (-5 *2 (-576)) (-5 *1 (-635 *3 *4)) + (-4 *4 (-1262 *3)))) + ((*1 *2 *1) (-12 (-4 *1 (-720 *3)) (-4 *3 (-1068)) (-5 *2 (-783)))) + ((*1 *2 *1) (-12 (-4 *1 (-864 *3)) (-4 *3 (-1068)) (-5 *2 (-783)))) + ((*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-921 *3)) (-4 *3 (-1119)))) + ((*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-922 *3)) (-4 *3 (-1119)))) + ((*1 *2 *1 *3) + (-12 (-5 *3 (-656 *6)) (-4 *1 (-966 *4 *5 *6)) (-4 *4 (-1068)) + (-4 *5 (-805)) (-4 *6 (-862)) (-5 *2 (-656 (-783))))) + ((*1 *2 *1 *3) + (-12 (-4 *1 (-966 *4 *5 *3)) (-4 *4 (-1068)) (-4 *5 (-805)) + (-4 *3 (-862)) (-5 *2 (-783)))) + ((*1 *2 *1) + (-12 (-4 *1 (-992 *3 *2 *4)) (-4 *3 (-1068)) (-4 *4 (-862)) + (-4 *2 (-804)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1229 *3 *4 *5 *6)) (-4 *3 (-568)) (-4 *4 (-805)) + (-4 *5 (-862)) (-4 *6 (-1084 *3 *4 *5)) (-5 *2 (-783)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1248 *3 *4)) (-4 *3 (-1068)) (-4 *4 (-1277 *3)) + (-5 *2 (-576)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1269 *3 *4)) (-4 *3 (-1068)) (-4 *4 (-1246 *3)) + (-5 *2 (-419 (-576))))) + ((*1 *2 *1) + (-12 (-4 *1 (-1305 *3)) (-4 *3 (-374)) (-5 *2 (-845 (-938))))) + ((*1 *2 *1) + (-12 (-4 *1 (-1307 *3 *4)) (-4 *3 (-862)) (-4 *4 (-1068)) + (-5 *2 (-783))))) +(((*1 *2 *3) + (-12 (-5 *3 (-969 *5)) (-4 *5 (-1068)) (-5 *2 (-493 *4 *5)) + (-5 *1 (-961 *4 *5)) (-14 *4 (-656 (-1195)))))) +(((*1 *2 *1) + (-12 (-5 *2 (-176 (-419 (-576)))) (-5 *1 (-118 *3)) (-14 *3 (-576)))) + ((*1 *1 *2 *3 *3) + (-12 (-5 *3 (-1176 *2)) (-4 *2 (-317)) (-5 *1 (-176 *2)))) + ((*1 *1 *2) (-12 (-5 *2 (-419 *3)) (-4 *3 (-317)) (-5 *1 (-176 *3)))) + ((*1 *2 *3) + (-12 (-5 *2 (-176 (-576))) (-5 *1 (-777 *3)) (-4 *3 (-416)))) + ((*1 *2 *1) + (-12 (-5 *2 (-176 (-419 (-576)))) (-5 *1 (-883 *3)) (-14 *3 (-576)))) + ((*1 *2 *1) + (-12 (-14 *3 (-576)) (-5 *2 (-176 (-419 (-576)))) + (-5 *1 (-884 *3 *4)) (-4 *4 (-881 *3))))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *3 (-1191 *9)) (-5 *4 (-656 *7)) (-5 *5 (-656 *8)) + (-4 *7 (-862)) (-4 *8 (-1068)) (-4 *9 (-966 *8 *6 *7)) + (-4 *6 (-805)) (-5 *2 (-1191 *8)) (-5 *1 (-331 *6 *7 *8 *9))))) (((*1 *2 *1) (-12 (-4 *1 (-249 *2)) (-4 *2 (-1236)))) ((*1 *2 *1) (-12 (-5 *2 (-1154)) (-5 *1 (-1115)))) ((*1 *2 *1) @@ -3121,25 +3144,29 @@ ((*1 *1 *1 *2) (-12 (-5 *2 (-783)) (-4 *1 (-1274 *3)) (-4 *3 (-1236)))) ((*1 *2 *1) (-12 (-4 *1 (-1274 *2)) (-4 *2 (-1236))))) -(((*1 *2 *3 *3 *3 *4 *5 *5 *3) - (-12 (-5 *3 (-576)) (-5 *5 (-701 (-227))) (-5 *4 (-227)) - (-5 *2 (-1054)) (-5 *1 (-764))))) -(((*1 *1 *1 *1 *2) - (-12 (-5 *2 (-783)) (-4 *1 (-336 *3 *4)) (-4 *3 (-1068)) - (-4 *4 (-804)) (-4 *3 (-174))))) +(((*1 *1 *2) + (-12 (-5 *2 (-656 *6)) (-4 *6 (-966 *3 *4 *5)) (-4 *3 (-374)) + (-4 *4 (-805)) (-4 *5 (-862)) (-5 *1 (-516 *3 *4 *5 *6))))) (((*1 *2 *1) (-12 (-5 *2 (-656 (-624 *1))) (-4 *1 (-312))))) -(((*1 *2) - (-12 (-4 *3 (-464)) (-4 *4 (-805)) (-4 *5 (-862)) - (-4 *6 (-1084 *3 *4 *5)) (-5 *2 (-1291)) - (-5 *1 (-1007 *3 *4 *5 *6 *7)) (-4 *7 (-1090 *3 *4 *5 *6)))) - ((*1 *2) - (-12 (-4 *3 (-464)) (-4 *4 (-805)) (-4 *5 (-862)) - (-4 *6 (-1084 *3 *4 *5)) (-5 *2 (-1291)) - (-5 *1 (-1126 *3 *4 *5 *6 *7)) (-4 *7 (-1090 *3 *4 *5 *6))))) -(((*1 *2) (-12 (-5 *2 (-1177)) (-5 *1 (-246))))) -(((*1 *2 *3 *3 *3 *3 *4 *3) - (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1054)) - (-5 *1 (-767))))) +(((*1 *2 *3) (-12 (-5 *3 (-1177)) (-5 *2 (-576)) (-5 *1 (-246)))) + ((*1 *2 *3) + (-12 (-5 *3 (-656 (-1177))) (-5 *2 (-576)) (-5 *1 (-246))))) +(((*1 *1 *1 *2) + (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1068))))) +(((*1 *1 *2) (-12 (-5 *2 (-656 (-145))) (-5 *1 (-142)))) + ((*1 *1 *2) (-12 (-5 *2 (-1177)) (-5 *1 (-142))))) +(((*1 *2 *1 *3 *3 *4) + (-12 (-5 *3 (-1 (-874) (-874) (-874))) (-5 *4 (-576)) (-5 *2 (-874)) + (-5 *1 (-661 *5 *6 *7)) (-4 *5 (-1119)) (-4 *6 (-23)) (-14 *7 *6))) + ((*1 *2 *1 *2) + (-12 (-5 *2 (-874)) (-5 *1 (-866 *3 *4 *5)) (-4 *3 (-1068)) + (-14 *4 (-99 *3)) (-14 *5 (-1 *3 *3)))) + ((*1 *1 *2) (-12 (-5 *2 (-227)) (-5 *1 (-874)))) + ((*1 *1 *2) (-12 (-5 *2 (-1177)) (-5 *1 (-874)))) + ((*1 *1 *2) (-12 (-5 *2 (-1195)) (-5 *1 (-874)))) + ((*1 *1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-874)))) + ((*1 *2 *1 *2) + (-12 (-5 *2 (-874)) (-5 *1 (-1191 *3)) (-4 *3 (-1068))))) (((*1 *2 *2) (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2)) (-4 *2 (-13 (-442 *3) (-1021))))) @@ -3159,42 +3186,88 @@ ((*1 *2 *2) (-12 (-5 *2 (-1176 *3)) (-4 *3 (-38 (-419 (-576)))) (-5 *1 (-1181 *3))))) -(((*1 *1 *1 *1 *2) - (-12 (-4 *1 (-966 *3 *4 *2)) (-4 *3 (-1068)) (-4 *4 (-805)) - (-4 *2 (-862)) (-4 *3 (-174)))) - ((*1 *2 *3 *3) - (-12 (-4 *2 (-568)) (-5 *1 (-988 *2 *3)) (-4 *3 (-1262 *2)))) - ((*1 *1 *1 *1) - (-12 (-4 *1 (-1084 *2 *3 *4)) (-4 *2 (-1068)) (-4 *3 (-805)) - (-4 *4 (-862)) (-4 *2 (-568)))) +(((*1 *2 *2 *2) + (-12 (-4 *3 (-38 (-419 (-576)))) (-5 *1 (-1279 *3 *2)) + (-4 *2 (-1277 *3))))) +(((*1 *2 *2) + (-12 (-4 *3 (-568)) (-5 *1 (-159 *3 *2)) (-4 *2 (-442 *3)))) + ((*1 *2 *2 *3) + (-12 (-5 *3 (-1195)) (-4 *4 (-568)) (-5 *1 (-159 *4 *2)) + (-4 *2 (-442 *4)))) + ((*1 *1 *1 *2) (-12 (-4 *1 (-161)) (-5 *2 (-1195)))) + ((*1 *1 *1) (-4 *1 (-161)))) +(((*1 *2 *3) + (-12 (-5 *3 (-656 *7)) (-4 *7 (-1084 *4 *5 *6)) (-4 *4 (-568)) + (-4 *5 (-805)) (-4 *6 (-862)) (-5 *2 (-656 (-1299 *4 *5 *6 *7))) + (-5 *1 (-1299 *4 *5 *6 *7)))) + ((*1 *2 *3 *4 *5) + (-12 (-5 *3 (-656 *9)) (-5 *4 (-1 (-112) *9 *9)) + (-5 *5 (-1 *9 *9 *9)) (-4 *9 (-1084 *6 *7 *8)) (-4 *6 (-568)) + (-4 *7 (-805)) (-4 *8 (-862)) (-5 *2 (-656 (-1299 *6 *7 *8 *9))) + (-5 *1 (-1299 *6 *7 *8 *9))))) +(((*1 *2 *3 *3) + (-12 (-4 *4 (-568)) + (-5 *2 (-2 (|:| -1677 *4) (|:| -3042 *3) (|:| -3730 *3))) + (-5 *1 (-988 *4 *3)) (-4 *3 (-1262 *4)))) ((*1 *2 *1 *1) - (-12 (-4 *1 (-1262 *2)) (-4 *2 (-1068)) (-4 *2 (-174))))) -(((*1 *1 *1 *1 *2) - (-12 (-5 *2 (-783)) (-4 *1 (-1084 *3 *4 *5)) (-4 *3 (-1068)) - (-4 *4 (-805)) (-4 *5 (-862)) (-4 *3 (-568))))) -(((*1 *2 *1 *1) - (-12 - (-5 *2 - (-2 (|:| -3508 (-794 *3)) (|:| |coef1| (-794 *3)) - (|:| |coef2| (-794 *3)))) - (-5 *1 (-794 *3)) (-4 *3 (-568)) (-4 *3 (-1068)))) + (-12 (-4 *3 (-1068)) (-4 *4 (-805)) (-4 *5 (-862)) + (-5 *2 (-2 (|:| -3042 *1) (|:| -3730 *1))) (-4 *1 (-1084 *3 *4 *5)))) ((*1 *2 *1 *1) - (-12 (-4 *3 (-568)) (-4 *3 (-1068)) (-4 *4 (-805)) (-4 *5 (-862)) - (-5 *2 (-2 (|:| -3508 *1) (|:| |coef1| *1) (|:| |coef2| *1))) - (-4 *1 (-1084 *3 *4 *5))))) -(((*1 *1 *2) (-12 (-5 *2 (-656 (-874))) (-5 *1 (-874))))) -(((*1 *2 *1) (-12 (-5 *2 (-1291)) (-5 *1 (-834))))) -(((*1 *2 *1) (|partial| -12 (-5 *2 (-1191 *1)) (-4 *1 (-1031))))) -(((*1 *1 *2) - (|partial| -12 (-5 *2 (-1301 *3 *4)) (-4 *3 (-862)) (-4 *4 (-174)) - (-5 *1 (-676 *3 *4)))) - ((*1 *2 *1) - (|partial| -12 (-5 *2 (-676 *3 *4)) (-5 *1 (-1306 *3 *4)) - (-4 *3 (-862)) (-4 *4 (-174))))) -(((*1 *2 *2) (-12 (-5 *2 (-1191 *3)) (-4 *3 (-360)) (-5 *1 (-368 *3))))) -(((*1 *2 *1) - (-12 (-5 *2 (-112)) (-5 *1 (-1183 *3 *4)) (-14 *3 (-938)) - (-4 *4 (-1068))))) + (-12 (-4 *3 (-568)) (-4 *3 (-1068)) + (-5 *2 (-2 (|:| -1677 *3) (|:| -3042 *1) (|:| -3730 *1))) + (-4 *1 (-1262 *3))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-656 (-938))) (-5 *4 (-656 (-576))) + (-5 *2 (-701 (-576))) (-5 *1 (-1129))))) +(((*1 *2 *3) + (|partial| -12 (-5 *3 (-969 (-171 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(-419 (-969 (-171 *5)))) (-5 *4 (-938)) + (-4 *5 (-568)) (-4 *5 (-626 (-390))) (-5 *2 (-171 (-390))) + (-5 *1 (-797 *5)))) + ((*1 *2 *3) + (|partial| -12 (-5 *3 (-326 *4)) (-4 *4 (-568)) (-4 *4 (-862)) + (-4 *4 (-626 (-390))) (-5 *2 (-171 (-390))) (-5 *1 (-797 *4)))) + ((*1 *2 *3 *4) + (|partial| -12 (-5 *3 (-326 *5)) (-5 *4 (-938)) (-4 *5 (-568)) + (-4 *5 (-862)) (-4 *5 (-626 (-390))) (-5 *2 (-171 (-390))) + (-5 *1 (-797 *5)))) + ((*1 *2 *3) + (|partial| -12 (-5 *3 (-326 (-171 *4))) (-4 *4 (-568)) (-4 *4 (-862)) + (-4 *4 (-626 (-390))) (-5 *2 (-171 (-390))) (-5 *1 (-797 *4)))) + ((*1 *2 *3 *4) + (|partial| -12 (-5 *3 (-326 (-171 *5))) (-5 *4 (-938)) (-4 *5 (-568)) + (-4 *5 (-862)) (-4 *5 (-626 (-390))) (-5 *2 (-171 (-390))) + (-5 *1 (-797 *5))))) +(((*1 *2 *3) (-12 (-5 *3 (-874)) (-5 *2 (-1291)) (-5 *1 (-1157)))) + ((*1 *2 *3) + (-12 (-5 *3 (-656 (-874))) (-5 *2 (-1291)) (-5 *1 (-1157))))) +(((*1 *2 *2 *3 *4 *4) + (-12 (-5 *4 (-576)) (-4 *3 (-174)) (-4 *5 (-384 *3)) + (-4 *6 (-384 *3)) (-5 *1 (-700 *3 *5 *6 *2)) + (-4 *2 (-699 *3 *5 *6))))) +(((*1 *2 *3) + (-12 (-5 *2 (-624 *4)) (-5 *1 (-623 *3 *4)) (-4 *3 (-1119)) + (-4 *4 (-1119))))) (((*1 *2 *2) (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2)) (-4 *2 (-13 (-442 *3) (-1021))))) @@ -3215,14 +3288,11 @@ (-12 (-5 *2 (-1176 *3)) (-4 *3 (-38 (-419 (-576)))) (-5 *1 (-1181 *3))))) (((*1 *1 *1 *2) (-12 (-5 *2 (-656 (-874))) (-5 *1 (-874))))) -(((*1 *2 *1 *3) (-12 (-5 *3 (-1195)) (-5 *2 (-1291)) (-5 *1 (-834))))) -(((*1 *2 *3 *4 *4 *2 *2 *2) - (-12 (-5 *2 (-576)) - (-5 *3 - (-2 (|:| |lcmfij| *6) (|:| |totdeg| (-783)) (|:| |poli| *4) - (|:| |polj| *4))) - (-4 *6 (-805)) (-4 *4 (-966 *5 *6 *7)) (-4 *5 (-464)) (-4 *7 (-862)) - (-5 *1 (-461 *5 *6 *7 *4))))) +(((*1 *2 *3 *4 *4 *4 *3) + (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1054)) + (-5 *1 (-763))))) +(((*1 *2 *1) + (-12 (-4 *1 (-375 *3 *2)) (-4 *3 (-1119)) (-4 *2 (-1119))))) (((*1 *1 *2 *1) (-12 (|has| *1 (-6 -4462)) (-4 *1 (-152 *2)) (-4 *2 (-1236)) (-4 *2 (-1119)))) @@ -3239,23 +3309,24 @@ ((*1 *1 *2 *1) (-12 (-5 *2 (-1159 *3 *4)) (-4 *3 (-13 (-1119) (-34))) (-4 *4 (-13 (-1119) (-34))) (-5 *1 (-1160 *3 *4))))) -(((*1 *1 *2 *3) (-12 (-5 *3 (-576)) (-5 *1 (-430 *2)) (-4 *2 (-568))))) -(((*1 *2 *2 *2 *2) - (-12 (-5 *2 (-701 *3)) (-4 *3 (-1068)) (-5 *1 (-702 *3))))) -(((*1 *1 *1 *1) (-12 (-4 *1 (-292 *2)) (-4 *2 (-1236)) (-4 *2 (-862)))) - ((*1 *1 *2 *1 *1) - (-12 (-5 *2 (-1 (-112) *3 *3)) (-4 *1 (-292 *3)) (-4 *3 (-1236)))) - ((*1 *1 *1 *1) (-12 (-4 *1 (-987 *2)) (-4 *2 (-862))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-656 *8)) (-5 *4 (-656 *7)) (-4 *7 (-862)) - (-4 *8 (-966 *5 *6 *7)) (-4 *5 (-568)) (-4 *6 (-805)) - (-5 *2 - (-2 (|:| |particular| (-3 (-1286 (-419 *8)) "failed")) - (|:| -4032 (-656 (-1286 (-419 *8)))))) - (-5 *1 (-681 *5 *6 *7 *8))))) -(((*1 *2 *3 *1) - (-12 (-5 *3 (-1 (-112) *4)) (|has| *1 (-6 -4462)) (-4 *1 (-501 *4)) - (-4 *4 (-1236)) (-5 *2 (-112))))) +(((*1 *2 *3 *3 *3) + (|partial| -12 + (-4 *4 (-13 (-148) (-27) (-1057 (-576)) (-1057 (-419 (-576))))) + (-4 *5 (-1262 *4)) (-5 *2 (-1191 (-419 *5))) (-5 *1 (-627 *4 *5)) + (-5 *3 (-419 *5)))) + ((*1 *2 *3 *3 *3 *4) + (|partial| -12 (-5 *4 (-1 (-430 *6) *6)) (-4 *6 (-1262 *5)) + (-4 *5 (-13 (-148) (-27) (-1057 (-576)) (-1057 (-419 (-576))))) + (-5 *2 (-1191 (-419 *6))) (-5 *1 (-627 *5 *6)) (-5 *3 (-419 *6))))) +(((*1 *2 *1) + (-12 (-4 *1 (-353 *3 *4 *5)) (-4 *3 (-1240)) (-4 *4 (-1262 *3)) + (-4 *5 (-1262 (-419 *4))) (-5 *2 (-112))))) +(((*1 *2 *3) + (-12 (-5 *3 (-960 *2)) (-5 *1 (-1001 *2)) (-4 *2 (-1068))))) +(((*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-1119)) (-5 *1 (-224 *3)))) + ((*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-1236)) (-4 *1 (-261 *3)))) + ((*1 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1236))))) +(((*1 *2 *1) (-12 (-5 *2 (-301)) (-5 *1 (-290))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2)) @@ -3274,44 +3345,40 @@ (-5 *1 (-1181 *3))))) (((*1 *2 *2 *3) (-12 (-4 *3 (-374)) (-5 *1 (-295 *3 *2)) (-4 *2 (-1277 *3))))) -(((*1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-1237 *3)) (-4 *3 (-1119))))) -(((*1 *1 *2) - (-12 (-5 *2 (-783)) (-5 *1 (-687 *3)) (-4 *3 (-1068)) - (-4 *3 (-1119))))) -(((*1 *2 *2) (|partial| -12 (-4 *1 (-1002 *2)) (-4 *2 (-1221))))) -(((*1 *1 *1 *2) (-12 (-5 *2 (-518)) (-5 *1 (-115)))) - ((*1 *1 *1 *2) (-12 (-5 *2 (-1177)) (-5 *1 (-115))))) (((*1 *2 *3) - (-12 (-5 *2 (-430 (-1191 *1))) (-5 *1 (-326 *4)) (-5 *3 (-1191 *1)) - (-4 *4 (-464)) (-4 *4 (-568)) (-4 *4 (-1119)))) - ((*1 *2 *3) - (-12 (-4 *1 (-926)) (-5 *2 (-430 (-1191 *1))) (-5 *3 (-1191 *1))))) -(((*1 *2 *2) - (-12 (-4 *3 (-317)) (-4 *4 (-384 *3)) (-4 *5 (-384 *3)) - (-5 *1 (-1143 *3 *4 *5 *2)) (-4 *2 (-699 *3 *4 *5))))) -(((*1 *2 *3 *4) - (-12 (-5 *4 (-1195)) - (-4 *5 (-13 (-317) (-148) (-1057 (-576)) (-651 (-576)))) - (-5 *2 (-598 *3)) (-5 *1 (-438 *5 *3)) - (-4 *3 (-13 (-1221) (-29 *5))))) - ((*1 *2 *3 *4) - (-12 (-5 *4 (-1195)) (-4 *5 (-13 (-568) (-1057 (-576)) (-148))) - (-5 *2 (-598 (-419 (-969 *5)))) (-5 *1 (-582 *5)) - (-5 *3 (-419 (-969 *5)))))) -(((*1 *2 *1) - (-12 - (-5 *2 - (-656 - (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| *3) - (|:| |xpnt| (-576))))) - (-5 *1 (-430 *3)) (-4 *3 (-568)))) - ((*1 *2 *3 *4 *4 *4) - (-12 (-5 *4 (-783)) (-4 *3 (-360)) (-4 *5 (-1262 *3)) - (-5 *2 (-656 (-1191 *3))) (-5 *1 (-510 *3 *5 *6)) - (-4 *6 (-1262 *5))))) + (-12 (-5 *3 (-656 (-2 (|:| |den| (-576)) (|:| |gcdnum| (-576))))) + (-4 *4 (-1262 (-419 *2))) (-5 *2 (-576)) (-5 *1 (-930 *4 *5)) + (-4 *5 (-1262 (-419 *4)))))) (((*1 *2 *3) - (-12 (-5 *3 (-656 (-624 *5))) (-4 *4 (-1119)) (-5 *2 (-624 *5)) - (-5 *1 (-585 *4 *5)) (-4 *5 (-442 *4))))) + (-12 (-5 *3 (-1191 *4)) (-4 *4 (-360)) + (-4 *2 + (-13 (-414) + (-10 -7 (-15 -3581 (*2 *4)) (-15 -2591 ((-938) *2)) + (-15 -2641 ((-1286 *2) (-938))) (-15 -2832 (*2 *2))))) + (-5 *1 (-367 *2 *4))))) +(((*1 *2 *3) + (-12 (-5 *3 (-2 (|:| -4206 (-419 (-576))) (|:| -4216 (-419 (-576))))) + (-5 *2 (-419 (-576))) (-5 *1 (-1039 *4)) (-4 *4 (-1262 (-576)))))) +(((*1 *2 *3) (-12 (-5 *3 (-518)) (-5 *2 (-703 (-189))) (-5 *1 (-189))))) +(((*1 *2 *3) (-12 (-5 *3 (-1195)) (-5 *2 (-1291)) (-5 *1 (-1198)))) + ((*1 *2 *1) (-12 (-5 *2 (-1291)) (-5 *1 (-1199))))) +(((*1 *1 *1 *1) + (-12 (-4 *1 (-699 *2 *3 *4)) (-4 *2 (-1068)) (-4 *3 (-384 *2)) + (-4 *4 (-384 *2))))) +(((*1 *2 *1) + (-12 (-4 *1 (-1303 *3 *4)) (-4 *3 (-862)) (-4 *4 (-1068)) + (-5 *2 (-112)))) + ((*1 *2 *1) + (-12 (-5 *2 (-112)) (-5 *1 (-1309 *3 *4)) (-4 *3 (-1068)) + (-4 *4 (-858))))) +(((*1 *2 *2) (-12 (-5 *2 (-938)) (-5 *1 (-368 *3)) (-4 *3 (-360))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-419 (-969 (-171 (-576))))) (-5 *2 (-656 (-171 *4))) + (-5 *1 (-389 *4)) (-4 *4 (-13 (-374) (-860))))) + ((*1 *2 *3 *4 *5) + (-12 (-5 *3 (-656 (-419 (-969 (-171 (-576)))))) + (-5 *4 (-656 (-1195))) (-5 *2 (-656 (-656 (-171 *5)))) + (-5 *1 (-389 *5)) (-4 *5 (-13 (-374) (-860)))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2)) @@ -3328,37 +3395,40 @@ ((*1 *2 *2) (-12 (-5 *2 (-1176 *3)) (-4 *3 (-38 (-419 (-576)))) (-5 *1 (-1181 *3))))) -(((*1 *1 *1) - (-12 (-5 *1 (-1183 *2 *3)) (-14 *2 (-938)) (-4 *3 (-1068))))) -(((*1 *2 *3 *3 *3 *4 *4 *3) - (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1054)) - (-5 *1 (-767))))) -(((*1 *2 *3 *3 *4 *5 *5 *5 *3) - (-12 (-5 *3 (-576)) (-5 *4 (-1177)) (-5 *5 (-701 (-227))) - (-5 *2 (-1054)) (-5 *1 (-759))))) -(((*1 *1 *2 *3) - (-12 (-5 *2 (-518)) (-5 *3 (-656 (-982))) (-5 *1 (-109))))) -(((*1 *2 *3 *4) - (-12 (-5 *4 (-938)) (-5 *2 (-1191 *3)) (-5 *1 (-1210 *3)) - (-4 *3 (-374))))) -(((*1 *2 *3 *3) - (-12 (-4 *4 (-568)) - (-5 *2 (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| -3508 *3))) - (-5 *1 (-988 *4 *3)) (-4 *3 (-1262 *4))))) -(((*1 *2 *3 *3 *2) - (-12 (-5 *2 (-1176 *4)) (-5 *3 (-576)) (-4 *4 (-1068)) - (-5 *1 (-1179 *4)))) - ((*1 *1 *2 *2 *1) - (-12 (-5 *2 (-576)) (-5 *1 (-1278 *3 *4 *5)) (-4 *3 (-1068)) - (-14 *4 (-1195)) (-14 *5 *3)))) -(((*1 *1 *1 *1) (-12 (-5 *1 (-794 *2)) (-4 *2 (-1068)))) - ((*1 *1 *1 *1) - (-12 (-4 *1 (-1084 *2 *3 *4)) (-4 *2 (-1068)) (-4 *3 (-805)) - (-4 *4 (-862))))) -(((*1 *2 *3 *3) - (-12 (-4 *4 (-464)) (-4 *4 (-568)) - (-5 *2 (-2 (|:| |coef2| *3) (|:| -3597 *4))) (-5 *1 (-988 *4 *3)) - (-4 *3 (-1262 *4))))) +(((*1 *2 *3 *1) + (-12 (-4 *1 (-995 *4 *5 *3 *6)) (-4 *4 (-1068)) (-4 *5 (-805)) + (-4 *3 (-862)) (-4 *6 (-1084 *4 *5 *3)) (-5 *2 (-112))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-905 *3)) (-4 *3 (-1119))))) +(((*1 *2 *3 *4 *5 *6) + (-12 (-5 *5 (-1 (-598 *3) *3 (-1195))) + (-5 *6 + (-1 (-3 (-2 (|:| |special| *3) (|:| |integrand| *3)) "failed") *3 + (-1195))) + (-4 *3 (-294)) (-4 *3 (-641)) (-4 *3 (-1057 *4)) (-4 *3 (-442 *7)) + (-5 *4 (-1195)) (-4 *7 (-626 (-905 (-576)))) (-4 *7 (-464)) + (-4 *7 (-899 (-576))) (-4 *7 (-1119)) (-5 *2 (-598 *3)) + (-5 *1 (-585 *7 *3))))) +(((*1 *2 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1236))))) +(((*1 *2 *3) + (-12 + (-5 *3 + (-3 + (|:| |noa| + (-2 (|:| |fn| (-326 (-227))) (|:| -3475 (-656 (-227))) + (|:| |lb| (-656 (-855 (-227)))) + (|:| |cf| (-656 (-326 (-227)))) + (|:| |ub| (-656 (-855 (-227)))))) + (|:| |lsa| + (-2 (|:| |lfn| (-656 (-326 (-227)))) + (|:| -3475 (-656 (-227))))))) + (-5 *2 (-656 (-1177))) (-5 *1 (-276))))) +(((*1 *2 *1) (-12 (-5 *2 (-1291)) (-5 *1 (-834))))) +(((*1 *1) (-5 *1 (-1288)))) +(((*1 *2 *3) + (-12 (-5 *3 (-656 *2)) (-4 *2 (-442 *4)) (-5 *1 (-159 *4 *2)) + (-4 *4 (-568))))) +(((*1 *2 *2) (-12 (-5 *2 (-783)) (-5 *1 (-457 *3)) (-4 *3 (-1068)))) + ((*1 *2) (-12 (-5 *2 (-783)) (-5 *1 (-457 *3)) (-4 *3 (-1068))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2)) @@ -3375,36 +3445,45 @@ ((*1 *2 *2) (-12 (-5 *2 (-1176 *3)) (-4 *3 (-38 (-419 (-576)))) (-5 *1 (-1181 *3))))) -(((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-943))))) -(((*1 *2 *3 *4 *5) - (-12 (-5 *4 (-112)) (-4 *6 (-13 (-464) (-1057 (-576)) (-651 (-576)))) - (-4 *3 (-13 (-27) (-1221) (-442 *6) (-10 -8 (-15 -3581 ($ *7))))) - (-4 *7 (-860)) - (-4 *8 - (-13 (-1264 *3 *7) (-374) (-1221) - (-10 -8 (-15 -2711 ($ $)) (-15 -3009 ($ $))))) - (-5 *2 - (-3 (|:| |%series| *8) - (|:| |%problem| (-2 (|:| |func| (-1177)) (|:| |prob| (-1177)))))) - (-5 *1 (-434 *6 *3 *7 *8 *9 *10)) (-5 *5 (-1177)) (-4 *9 (-1002 *8)) - (-14 *10 (-1195))))) -(((*1 *2 *2) - (-12 (-5 *2 (-112)) (-5 *1 (-454 *3)) (-4 *3 (-1262 (-576)))))) -(((*1 *2 *3 *4) - (-12 (-4 *5 (-374)) (-4 *5 (-568)) - (-5 *2 - (-2 (|:| |minor| (-656 (-938))) (|:| -3975 *3) - (|:| |minors| (-656 (-656 (-938)))) (|:| |ops| (-656 *3)))) - (-5 *1 (-90 *5 *3)) (-5 *4 (-938)) (-4 *3 (-668 *5))))) +(((*1 *2 *1) (-12 (-4 *1 (-1153 *3)) (-4 *3 (-1068)) (-5 *2 (-112))))) +(((*1 *2 *1) (-12 (-5 *2 (-836)) (-5 *1 (-837))))) +(((*1 *2 *2 *3) + (-12 (-5 *3 (-656 *2)) (-4 *2 (-966 *4 *5 *6)) (-4 *4 (-464)) + (-4 *5 (-805)) (-4 *6 (-862)) (-5 *1 (-461 *4 *5 *6 *2))))) +(((*1 *1 *2 *3 *4) + (-12 (-5 *3 (-576)) (-5 *4 (-3 "nil" "sqfr" "irred" "prime")) + (-5 *1 (-430 *2)) (-4 *2 (-568))))) +(((*1 *2 *1 *3) (-12 (-4 *1 (-312)) (-5 *3 (-1195)) (-5 *2 (-112)))) + ((*1 *2 *1 *3) (-12 (-4 *1 (-312)) (-5 *3 (-115)) (-5 *2 (-112)))) + ((*1 *2 *1 *3) + (-12 (-5 *3 (-1195)) (-5 *2 (-112)) (-5 *1 (-624 *4)) + (-4 *4 (-1119)))) + ((*1 *2 *1 *3) + (-12 (-5 *3 (-115)) (-5 *2 (-112)) (-5 *1 (-624 *4)) (-4 *4 (-1119)))) + ((*1 *2 *1 *3) (-12 (-4 *1 (-847 *3)) (-4 *3 (-1119)) (-5 *2 (-112)))) + ((*1 *2 *3 *4) + (-12 (-4 *5 (-1119)) (-5 *2 (-112)) (-5 *1 (-900 *5 *3 *4)) + (-4 *3 (-899 *5)) (-4 *4 (-626 (-905 *5))))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-656 *6)) (-4 *6 (-899 *5)) (-4 *5 (-1119)) + (-5 *2 (-112)) (-5 *1 (-900 *5 *6 *4)) (-4 *4 (-626 (-905 *5)))))) +(((*1 *1 *1 *2) + (-12 (-5 *2 (-656 (-576))) (-5 *1 (-253 *3 *4)) + (-14 *3 (-656 (-1195))) (-4 *4 (-1068)))) + ((*1 *1 *1 *2) + (-12 (-5 *2 (-656 (-576))) (-14 *3 (-656 (-1195))) + (-5 *1 (-466 *3 *4 *5)) (-4 *4 (-1068)) + (-4 *5 (-243 (-3500 *3) (-783))))) + ((*1 *1 *1 *2) + (-12 (-5 *2 (-656 (-576))) (-5 *1 (-493 *3 *4)) + (-14 *3 (-656 (-1195))) (-4 *4 (-1068))))) +(((*1 *2 *3 *3) + (-12 (-4 *4 (-568)) + (-5 *2 (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| -3510 *3))) + (-5 *1 (-988 *4 *3)) (-4 *3 (-1262 *4))))) (((*1 *2 *3) - (-12 (-5 *3 (-960 *2)) (-5 *1 (-1001 *2)) (-4 *2 (-1068))))) -(((*1 *2 *2) - (-12 (-4 *3 (-464)) (-5 *1 (-1227 *3 *2)) - (-4 *2 (-13 (-442 *3) (-1221)))))) -(((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-944))))) -(((*1 *2 *3) (-12 (-5 *3 (-938)) (-5 *2 (-921 (-576))) (-5 *1 (-934)))) - ((*1 *2 *3) - (-12 (-5 *3 (-656 (-576))) (-5 *2 (-921 (-576))) (-5 *1 (-934))))) + (-12 (-4 *4 (-1262 (-419 *2))) (-5 *2 (-576)) (-5 *1 (-930 *4 *3)) + (-4 *3 (-1262 (-419 *4)))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *1 *1 *1) (-5 *1 (-227))) ((*1 *2 *2) (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2)) @@ -3425,50 +3504,26 @@ ((*1 *2 *2) (-12 (-5 *2 (-1176 *3)) (-4 *3 (-38 (-419 (-576)))) (-5 *1 (-1181 *3))))) -(((*1 *2 *3) - (-12 (-5 *3 (-1177)) (-5 *2 (-656 (-1200))) (-5 *1 (-893))))) -(((*1 *1 *1 *2) - (-12 (-5 *2 (-576)) (-5 *1 (-326 *3)) (-4 *3 (-568)) (-4 *3 (-1119))))) -(((*1 *1 *1 *2) - (|partial| -12 (-4 *1 (-1229 *3 *4 *5 *2)) (-4 *3 (-568)) - (-4 *4 (-805)) (-4 *5 (-862)) (-4 *2 (-1084 *3 *4 *5))))) (((*1 *2 *2) - (|partial| -12 (-4 *3 (-374)) (-4 *4 (-384 *3)) (-4 *5 (-384 *3)) - (-5 *1 (-533 *3 *4 *5 *2)) (-4 *2 (-699 *3 *4 *5)))) - ((*1 *2 *3) - (|partial| -12 (-4 *4 (-568)) (-4 *5 (-384 *4)) (-4 *6 (-384 *4)) - (-4 *7 (-1011 *4)) (-4 *2 (-699 *7 *8 *9)) - (-5 *1 (-534 *4 *5 *6 *3 *7 *8 *9 *2)) (-4 *3 (-699 *4 *5 *6)) - (-4 *8 (-384 *7)) (-4 *9 (-384 *7)))) - ((*1 *1 *1) - (|partial| -12 (-4 *1 (-699 *2 *3 *4)) (-4 *2 (-1068)) - (-4 *3 (-384 *2)) (-4 *4 (-384 *2)) (-4 *2 (-374)))) - ((*1 *2 *2) - (|partial| -12 (-4 *3 (-374)) (-4 *3 (-174)) (-4 *4 (-384 *3)) - (-4 *5 (-384 *3)) (-5 *1 (-700 *3 *4 *5 *2)) - (-4 *2 (-699 *3 *4 *5)))) - ((*1 *1 *1) - (|partial| -12 (-5 *1 (-701 *2)) (-4 *2 (-374)) (-4 *2 (-1068)))) - ((*1 *1 *1) - (|partial| -12 (-4 *1 (-1142 *2 *3 *4 *5)) (-4 *3 (-1068)) - (-4 *4 (-243 *2 *3)) (-4 *5 (-243 *2 *3)) (-4 *3 (-374)))) - ((*1 *2 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-862)) (-5 *1 (-1206 *3))))) + (-12 (-4 *3 (-464)) (-5 *1 (-1227 *3 *2)) + (-4 *2 (-13 (-442 *3) (-1221)))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-145))))) (((*1 *2 *3) - (-12 (-5 *3 (-656 *2)) (-4 *2 (-442 *4)) (-5 *1 (-159 *4 *2)) - (-4 *4 (-568))))) -(((*1 *2 *3 *4) - (|partial| -12 (-5 *4 (-1195)) (-4 *5 (-626 (-905 (-576)))) - (-4 *5 (-899 (-576))) - (-4 *5 (-13 (-1057 (-576)) (-464) (-651 (-576)))) - (-5 *2 (-2 (|:| |special| *3) (|:| |integrand| *3))) - (-5 *1 (-579 *5 *3)) (-4 *3 (-641)) - (-4 *3 (-13 (-27) (-1221) (-442 *5))))) - ((*1 *2 *2 *3 *4 *4) - (|partial| -12 (-5 *3 (-1195)) (-5 *4 (-855 *2)) (-4 *2 (-1158)) - (-4 *2 (-13 (-27) (-1221) (-442 *5))) - (-4 *5 (-626 (-905 (-576)))) (-4 *5 (-899 (-576))) - (-4 *5 (-13 (-1057 (-576)) (-464) (-651 (-576)))) - (-5 *1 (-579 *5 *2))))) + (-12 (-5 *3 (-1161 *4 *2)) (-14 *4 (-938)) + (-4 *2 (-13 (-1068) (-10 -7 (-6 (-4464 "*"))))) + (-5 *1 (-919 *4 *2))))) +(((*1 *2 *3) + (-12 (-4 *4 (-1068)) + (-4 *2 (-13 (-416) (-1057 *4) (-374) (-1221) (-294))) + (-5 *1 (-455 *4 *3 *2)) (-4 *3 (-1262 *4))))) +(((*1 *2 *3) + (-12 (-5 *3 (-304 (-969 (-576)))) + (-5 *2 + (-2 (|:| |varOrder| (-656 (-1195))) + (|:| |inhom| (-3 (-656 (-1286 (-783))) "failed")) + (|:| |hom| (-656 (-1286 (-783)))))) + (-5 *1 (-241))))) +(((*1 *2) (-12 (-5 *2 (-1291)) (-5 *1 (-448))))) (((*1 *2 *1) (-12 (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1236)) (-4 *4 (-384 *3)) (-4 *5 (-384 *3)) (-5 *2 (-656 *3)))) @@ -3476,28 +3531,22 @@ (-12 (|has| *1 (-6 -4462)) (-4 *1 (-501 *3)) (-4 *3 (-1236)) (-5 *2 (-656 *3)))) ((*1 *2 *1) (-12 (-5 *2 (-656 (-938))) (-5 *1 (-990))))) -(((*1 *2 *3 *4 *4 *5 *3 *6) - (|partial| -12 (-5 *4 (-624 *3)) (-5 *5 (-656 *3)) (-5 *6 (-1191 *3)) - (-4 *3 (-13 (-442 *7) (-27) (-1221))) - (-4 *7 (-13 (-464) (-1057 (-576)) (-148) (-651 (-576)))) - (-5 *2 - (-2 (|:| |mainpart| *3) - (|:| |limitedlogs| - (-656 (-2 (|:| |coeff| *3) (|:| |logand| *3)))))) - (-5 *1 (-572 *7 *3 *8)) (-4 *8 (-1119)))) - ((*1 *2 *3 *4 *4 *5 *4 *3 *6) - (|partial| -12 (-5 *4 (-624 *3)) (-5 *5 (-656 *3)) - (-5 *6 (-419 (-1191 *3))) (-4 *3 (-13 (-442 *7) (-27) (-1221))) - (-4 *7 (-13 (-464) (-1057 (-576)) (-148) (-651 (-576)))) - (-5 *2 - (-2 (|:| |mainpart| *3) - (|:| |limitedlogs| - (-656 (-2 (|:| |coeff| *3) (|:| |logand| *3)))))) - (-5 *1 (-572 *7 *3 *8)) (-4 *8 (-1119))))) -(((*1 *2 *1) (-12 (-5 *2 (-656 (-177))) (-5 *1 (-1104))))) -(((*1 *1) (-5 *1 (-449)))) -(((*1 *2 *3) (-12 (-5 *3 (-656 *2)) (-5 *1 (-1210 *2)) (-4 *2 (-374))))) -(((*1 *2 *3 *2) (-12 (-5 *3 (-783)) (-5 *1 (-868 *2)) (-4 *2 (-174))))) +(((*1 *2 *2) + (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2)) + (-4 *2 (-13 (-442 *3) (-1021)))))) +(((*1 *2 *3 *3) + (-12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-862)) + (-4 *7 (-1084 *4 *5 *6)) (-5 *2 (-112)) + (-5 *1 (-1007 *4 *5 *6 *7 *3)) (-4 *3 (-1090 *4 *5 *6 *7)))) + ((*1 *2 *3 *3) + (-12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-862)) + (-4 *7 (-1084 *4 *5 *6)) (-5 *2 (-112)) + (-5 *1 (-1126 *4 *5 *6 *7 *3)) (-4 *3 (-1090 *4 *5 *6 *7))))) +(((*1 *2 *1) + (-12 (-5 *2 (-1045 (-855 (-576)))) (-5 *1 (-607 *3)) (-4 *3 (-1068))))) +(((*1 *1 *2 *2 *2 *2) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374))))) +(((*1 *2 *3 *2) + (-12 (-5 *2 (-886)) (-5 *3 (-656 (-270))) (-5 *1 (-268))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2)) @@ -3517,58 +3566,52 @@ ((*1 *2 *2) (-12 (-5 *2 (-1176 *3)) (-4 *3 (-38 (-419 (-576)))) (-5 *1 (-1181 *3))))) -(((*1 *2 *3 *4 *4 *4 *5 *6 *7) - (|partial| -12 (-5 *5 (-1195)) - (-5 *6 - (-1 - (-3 - (-2 (|:| |mainpart| *4) - (|:| |limitedlogs| - (-656 (-2 (|:| |coeff| *4) (|:| |logand| *4))))) - "failed") - *4 (-656 *4))) - (-5 *7 - (-1 (-3 (-2 (|:| -1703 *4) (|:| |coeff| *4)) "failed") *4 *4)) - (-4 *4 (-13 (-1221) (-27) (-442 *8))) - (-4 *8 (-13 (-464) (-148) (-1057 *3) (-651 *3))) (-5 *3 (-576)) - (-5 *2 (-656 *4)) (-5 *1 (-1033 *8 *4))))) -(((*1 *2 *1) - (-12 (|has| *1 (-6 -4462)) (-4 *1 (-501 *3)) (-4 *3 (-1236)) - (-5 *2 (-656 *3)))) - ((*1 *2 *1) (-12 (-5 *2 (-656 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*3))))) -(((*1 *2 *1) (|partial| -12 (-4 *1 (-1031)) (-5 *2 (-874))))) -(((*1 *2 *1) - (-12 (-5 *2 (-1286 (-783))) (-5 *1 (-687 *3)) (-4 *3 (-1119))))) + (-12 (-5 *3 (-419 (-576))) (-5 *4 (-576)) (-5 *2 (-52)) + (-5 *1 (-1024))))) +(((*1 *2 *1) (-12 (-5 *2 (-576)) (-5 *1 (-834))))) (((*1 *2 *3) - (-12 (-4 *4 (-568)) (-5 *2 (-656 *3)) (-5 *1 (-43 *4 *3)) - (-4 *3 (-429 *4))))) + (-12 (-5 *3 (-1 *5 *5)) (-4 *5 (-1277 *4)) + (-4 *4 (-38 (-419 (-576)))) (-5 *2 (-1 (-1176 *4) (-1176 *4))) + (-5 *1 (-1279 *4 *5))))) +(((*1 *2 *3) + (-12 (-5 *3 (-701 (-419 (-969 *4)))) (-4 *4 (-464)) + (-5 *2 (-656 (-3 (-419 (-969 *4)) (-1184 (-1195) (-969 *4))))) + (-5 *1 (-302 *4))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-115))))) +(((*1 *1 *2 *2 *2 *2 *2 *2 *2 *2) + (-12 (-4 *1 (-809 *2)) (-4 *2 (-174)))) + ((*1 *1 *2 *2) + (-12 (-5 *2 (-1018 *3)) (-4 *3 (-174)) (-5 *1 (-811 *3))))) +(((*1 *2 *2) + (-12 (-5 *2 (-656 *6)) (-4 *6 (-966 *3 *4 *5)) (-4 *3 (-317)) + (-4 *4 (-805)) (-4 *5 (-862)) (-5 *1 (-459 *3 *4 *5 *6)))) + ((*1 *2 *2 *3) + (-12 (-5 *2 (-656 *7)) (-5 *3 (-1177)) (-4 *7 (-966 *4 *5 *6)) + (-4 *4 (-317)) (-4 *5 (-805)) (-4 *6 (-862)) + (-5 *1 (-459 *4 *5 *6 *7)))) + ((*1 *2 *2 *3 *3) + (-12 (-5 *2 (-656 *7)) (-5 *3 (-1177)) (-4 *7 (-966 *4 *5 *6)) + (-4 *4 (-317)) (-4 *5 (-805)) (-4 *6 (-862)) + (-5 *1 (-459 *4 *5 *6 *7))))) +(((*1 *2 *1) (-12 (-4 *1 (-1153 *3)) (-4 *3 (-1068)) (-5 *2 (-112))))) +(((*1 *2 *1) + (-12 (-4 *3 (-1068)) (-4 *4 (-805)) (-4 *5 (-862)) (-5 *2 (-656 *1)) + (-4 *1 (-1084 *3 *4 *5))))) (((*1 *2 *2) (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2)) (-4 *2 (-13 (-442 *3) (-1021))))) @@ -3692,67 +3724,36 @@ (-12 (-5 *2 (-1176 *3)) (-4 *3 (-38 (-419 (-576)))) (-5 *1 (-1181 *3)))) ((*1 *1 *1) (-4 *1 (-1224)))) -(((*1 *2 *2) (-12 (-5 *2 (-1176 (-656 (-938)))) (-5 *1 (-896))))) -(((*1 *2 *3) - (-12 (-4 *4 (-360)) (-5 *2 (-975 (-1191 *4))) (-5 *1 (-368 *4)) - (-5 *3 (-1191 *4))))) -(((*1 *2 *3) (-12 (-5 *2 (-656 (-576))) (-5 *1 (-458)) (-5 *3 (-576))))) -(((*1 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(-860)))))) -(((*1 *1 *1 *2) - (-12 (-5 *2 (-783)) (-4 *1 (-1262 *3)) (-4 *3 (-1068))))) -(((*1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-112)))) - ((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-55)))) - ((*1 *2 *1) - (-12 (-4 *3 (-374)) (-4 *4 (-805)) (-4 *5 (-862)) (-5 *2 (-112)) - (-5 *1 (-516 *3 *4 *5 *6)) (-4 *6 (-966 *3 *4 *5)))) - ((*1 *2 *3 *1) - (-12 (-4 *1 (-1087 *4 *3)) (-4 *4 (-13 (-860) (-374))) - (-4 *3 (-1262 *4)) (-5 *2 (-112))))) + (-2 (|:| |outval| *7) (|:| |outmult| (-576)) + (|:| |outvect| (-656 (-701 *7)))))) + (-5 *1 (-544 *6 *7 *4)) (-4 *7 (-374)) (-4 *4 (-13 (-374) (-860)))))) +(((*1 *2 *3 *1) (-12 (-5 *3 (-1195)) (-5 *2 (-1199)) (-5 *1 (-1198))))) +(((*1 *2 *2 *3 *4) + (|partial| -12 (-5 *2 (-656 (-1191 *7))) (-5 *3 (-1191 *7)) + (-4 *7 (-966 *5 *6 *4)) (-4 *5 (-926)) (-4 *6 (-805)) + (-4 *4 (-862)) (-5 *1 (-923 *5 *6 *4 *7))))) +(((*1 *1) (-5 *1 (-835)))) +(((*1 *2 *1) + (-12 (-5 *2 (-1176 (-2 (|:| |k| (-576)) (|:| |c| *3)))) + (-5 *1 (-607 *3)) (-4 *3 (-1068))))) +(((*1 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(-4 *3 (-13 (-1119) (-34))))) ((*1 *2 *3) - (-12 (-5 *3 (-656 (-2 (|:| |val| *4) (|:| -3965 *5)))) + (-12 (-5 *3 (-656 (-2 (|:| |val| *4) (|:| -3966 *5)))) (-4 *4 (-13 (-1119) (-34))) (-4 *5 (-13 (-1119) (-34))) (-5 *2 (-656 (-1159 *4 *5))) (-5 *1 (-1159 *4 *5)))) ((*1 *1 *2) - (-12 (-5 *2 (-2 (|:| |val| *3) (|:| -3965 *4))) + (-12 (-5 *2 (-2 (|:| |val| *3) (|:| -3966 *4))) (-4 *3 (-13 (-1119) (-34))) (-4 *4 (-13 (-1119) (-34))) (-5 *1 (-1159 *3 *4)))) ((*1 *1 *2 *3) @@ -5226,39 +5078,60 @@ (-4 *4 (-13 (-1119) (-34))) (-5 *1 (-1160 *3 *4)))) ((*1 *1 *2 *3) (-12 (-5 *1 (-1184 *2 *3)) (-4 *2 (-1119)) (-4 *3 (-1119))))) -(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-659 *3)) (-4 *3 (-1119))))) -(((*1 *2 *1) - (-12 (-4 *3 (-13 (-374) (-148))) - (-5 *2 (-656 (-2 (|:| -2018 (-783)) (|:| -2344 *4) (|:| |num| *4)))) - (-5 *1 (-411 *3 *4)) (-4 *4 (-1262 *3))))) +(((*1 *2 *1) (-12 (-4 *1 (-566 *2)) (-4 *2 (-13 (-416) (-1221))))) + ((*1 *1 *1 *1) (-4 *1 (-805)))) (((*1 *2 *3) - (-12 (-5 *3 (-1113 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*3)) (-4 *3 (-1119)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2361 (-656 (-340))))) + (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2360 (-656 (-340))))) (-4 *1 (-408)))) ((*1 *1 *2) (-12 (-5 *2 (-340)) (-4 *1 (-408)))) ((*1 *1 *2) (-12 (-5 *2 (-656 (-340))) (-4 *1 (-408)))) @@ -5440,7 +5313,7 @@ (-14 *5 (-656 (-1195))) (-14 *6 (-1199)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2361 (-656 (-340))))) + (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2360 (-656 (-340))))) (-5 *1 (-410 *3 *4 *5 *6)) (-14 *3 (-1195)) (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2895 "void"))) (-14 *5 (-656 (-1195))) (-14 *6 (-1199)))) @@ -5477,14 +5350,14 @@ ((*1 *1 *2) (-12 (-5 *2 (-446)) (-5 *1 (-449)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2361 (-656 (-340))))) + (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2360 (-656 (-340))))) (-4 *1 (-452)))) ((*1 *1 *2) (-12 (-5 *2 (-340)) (-4 *1 (-452)))) ((*1 *1 *2) (-12 (-5 *2 (-656 (-340))) (-4 *1 (-452)))) ((*1 *1 *2) (-12 (-5 *2 (-1286 (-711))) (-4 *1 (-452)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2361 (-656 (-340))))) + (-5 *2 (-2 (|:| |localSymbols| (-1199)) (|:| -2360 (-656 (-340))))) (-4 *1 (-453)))) ((*1 *1 *2) (-12 (-5 *2 (-340)) (-4 *1 (-453)))) ((*1 *1 *2) (-12 (-5 *2 (-656 (-340))) (-4 *1 (-453)))) @@ -5562,25 +5435,25 @@ (-3 (|:| |nia| (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) - (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) + (|:| -4005 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| |mdnia| (-2 (|:| |fn| (-326 (-227))) - (|:| -1951 (-656 (-1113 (-855 (-227))))) + (|:| -4005 (-656 (-1113 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))))) (-5 *1 (-781)))) ((*1 *1 *2) (-12 (-5 *2 (-2 (|:| |fn| (-326 (-227))) - (|:| -1951 (-656 (-1113 (-855 (-227))))) (|:| |abserr| (-227)) + (|:| -4005 (-656 (-1113 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (-5 *1 (-781)))) ((*1 *1 *2) (-12 (-5 *2 (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) - (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) + (|:| -4005 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (-5 *1 (-781)))) ((*1 *2 *3) (-12 (-5 *2 (-786)) (-5 *1 (-785 *3)) (-4 *3 (-1236)))) @@ -5726,52 +5599,61 @@ ((*1 *1 *1 *1) (-12 (-5 *1 (-687 *2)) (-4 *2 (-1068)) (-4 *2 (-1119))))) (((*1 *2 *3) - (-12 (-4 *4 (-568)) (-4 *2 (-13 (-442 (-171 *4)) (-1021) (-1221))) - (-5 *1 (-612 *4 *3 *2)) (-4 *3 (-13 (-442 *4) (-1021) (-1221)))))) -(((*1 *1 *1 *2) (-12 (-5 *2 (-783)) (-5 *1 (-115)))) - ((*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-115)))) - ((*1 *2 *1 *3) - (-12 (-4 *1 (-260 *4 *3 *5 *6)) (-4 *4 (-1068)) (-4 *3 (-862)) - (-4 *5 (-275 *3)) (-4 *6 (-805)) (-5 *2 (-783)))) - ((*1 *2 *1) - (-12 (-4 *1 (-260 *3 *4 *5 *6)) (-4 *3 (-1068)) (-4 *4 (-862)) - (-4 *5 (-275 *4)) (-4 *6 (-805)) (-5 *2 (-783)))) - ((*1 *2 *1) (-12 (-4 *1 (-275 *3)) (-4 *3 (-862)) (-5 *2 (-783))))) -(((*1 *2 *3 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(-906 *2)) (-4 *2 (-862)))) @@ -5781,85 +5663,38 @@ ((*1 *1 *1 *2) (-12 (-5 *2 (-783)) (-4 *1 (-1274 *3)) (-4 *3 (-1236)))) ((*1 *1 *1) (-12 (-4 *1 (-1274 *2)) (-4 *2 (-1236))))) -(((*1 *2) (-12 (-4 *1 (-1063 *2)) (-4 *2 (-23))))) -(((*1 *2 *3 *3) - (-12 (-5 *3 (-656 *7)) (-4 *7 (-1084 *4 *5 *6)) (-4 *4 (-464)) - (-4 *5 (-805)) (-4 *6 (-862)) (-5 *2 (-112)) - (-5 *1 (-1007 *4 *5 *6 *7 *8)) (-4 *8 (-1090 *4 *5 *6 *7)))) - ((*1 *2 *3 *3) - (-12 (-5 *3 (-656 *7)) (-4 *7 (-1084 *4 *5 *6)) (-4 *4 (-464)) - (-4 *5 (-805)) (-4 *6 (-862)) (-5 *2 (-112)) - (-5 *1 (-1126 *4 *5 *6 *7 *8)) (-4 *8 (-1090 *4 *5 *6 *7))))) -(((*1 *2 *3) (-12 (-5 *3 (-1177)) (-5 *2 (-390)) (-5 *1 (-97)))) - ((*1 *2 *3 *3) (-12 (-5 *3 (-1177)) (-5 *2 (-390)) (-5 *1 (-97))))) -(((*1 *2 *3 *3 *4) - (|partial| -12 (-5 *4 (-1 *6 *6)) (-4 *6 (-1262 *5)) - (-4 *5 (-13 (-374) (-148) (-1057 (-576)))) - (-5 *2 - (-2 (|:| |a| *6) (|:| |b| (-419 *6)) (|:| |c| (-419 *6)) - (|:| -2766 *6))) - (-5 *1 (-1034 *5 *6)) (-5 *3 (-419 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(-112)) (-4 *7 (-464)) (-4 *8 (-805)) - (-4 *9 (-862)) (-4 *3 (-1084 *7 *8 *9)) - (-5 *2 - (-2 (|:| |done| (-656 *4)) - (|:| |todo| (-656 (-2 (|:| |val| (-656 *3)) (|:| -3965 *4)))))) - (-5 *1 (-1164 *7 *8 *9 *3 *4)) (-4 *4 (-1128 *7 *8 *9 *3)))) - ((*1 *2 *3 *4 *5) - (-12 (-5 *5 (-783)) (-4 *6 (-464)) (-4 *7 (-805)) (-4 *8 (-862)) - (-4 *3 (-1084 *6 *7 *8)) - (-5 *2 - (-2 (|:| |done| (-656 *4)) - (|:| |todo| (-656 (-2 (|:| |val| (-656 *3)) (|:| -3965 *4)))))) - (-5 *1 (-1164 *6 *7 *8 *3 *4)) (-4 *4 (-1128 *6 *7 *8 *3)))) + (-12 (-5 *3 (-326 *5)) (-5 *4 (-112)) (-4 *5 (-13 (-840) (-1068))) + (-5 *2 (-1177)) (-5 *1 (-838 *5)))) ((*1 *2 *3 *4) - (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-862)) - (-4 *3 (-1084 *5 *6 *7)) - (-5 *2 - (-2 (|:| |done| (-656 *4)) - (|:| |todo| (-656 (-2 (|:| |val| (-656 *3)) (|:| -3965 *4)))))) - (-5 *1 (-1164 *5 *6 *7 *3 *4)) (-4 *4 (-1128 *5 *6 *7 *3))))) + (-12 (-5 *3 (-834)) (-5 *4 (-326 *5)) (-4 *5 (-13 (-840) (-1068))) + (-5 *2 (-1291)) (-5 *1 (-838 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(-12 (-4 *1 (-616 *3 *2)) (-4 *3 (-1119)) (-4 *3 (-862)) (-4 *2 (-1236)))) @@ -5874,59 +5709,45 @@ ((*1 *1 *1 *2) (-12 (-5 *2 (-783)) (-4 *1 (-1274 *3)) (-4 *3 (-1236)))) ((*1 *2 *1) (-12 (-4 *1 (-1274 *2)) (-4 *2 (-1236))))) -(((*1 *2 *3) - (-12 (-5 *3 (-598 *2)) (-4 *2 (-13 (-29 *4) (-1221))) - (-5 *1 (-595 *4 *2)) - (-4 *4 (-13 (-464) (-1057 (-576)) (-651 (-576)))))) - ((*1 *2 *3) - (-12 (-5 *3 (-598 (-419 (-969 *4)))) - (-4 *4 (-13 (-464) (-1057 (-576)) (-651 (-576)))) (-5 *2 (-326 *4)) - (-5 *1 (-601 *4))))) -(((*1 *2 *3 *4) - (-12 (-5 *4 (-112)) (-4 *5 (-13 (-464) (-1057 (-576)) (-651 (-576)))) - (-5 *2 - (-3 (|:| |%expansion| (-323 *5 *3 *6 *7)) - (|:| |%problem| (-2 (|:| |func| (-1177)) (|:| |prob| (-1177)))))) - (-5 *1 (-432 *5 *3 *6 *7)) (-4 *3 (-13 (-27) (-1221) (-442 *5))) - (-14 *6 (-1195)) (-14 *7 *3)))) +(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *3 *5) + (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) + (-5 *5 (-3 (|:| |fn| (-400)) (|:| |fp| (-66 FUNCT1)))) + (-5 *2 (-1054)) (-5 *1 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(-256)))) ((*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-990)))) @@ -6117,98 +5984,93 @@ ((*1 *2 *1) (-12 (-5 *2 (-783)) (-5 *1 (-1309 *3 *4)) (-4 *3 (-1068)) (-4 *4 (-858))))) -(((*1 *2 *1 *3 *3) - (-12 (-5 *3 (-576)) (-5 *2 (-1291)) (-5 *1 (-1288)))) - ((*1 *2 *1 *3 *3) - (-12 (-5 *3 (-390)) (-5 *2 (-1291)) (-5 *1 (-1288))))) -(((*1 *1 *1 *2 *2 *1) - (-12 (-5 *2 (-576)) (-4 *1 (-699 *3 *4 *5)) (-4 *3 (-1068)) - (-4 *4 (-384 *3)) (-4 *5 (-384 *3))))) -(((*1 *1 *1) - (-12 (-4 *1 (-1084 *2 *3 *4)) (-4 *2 (-1068)) (-4 *3 (-805)) - (-4 *4 (-862)) (-4 *2 (-464))))) -(((*1 *2 *2 *3) - (-12 - (-5 *2 - (-2 (|:| |partsol| (-1286 (-419 (-969 *4)))) - (|:| -4032 (-656 (-1286 (-419 (-969 *4))))))) - (-5 *3 (-656 *7)) (-4 *4 (-13 (-317) (-148))) - (-4 *7 (-966 *4 *6 *5)) (-4 *5 (-13 (-862) (-626 (-1195)))) - (-4 *6 (-805)) (-5 *1 (-941 *4 *5 *6 *7))))) -(((*1 *1 *1 *1) (-12 (-5 *1 (-656 *2)) (-4 *2 (-1236))))) +(((*1 *2) + (-12 (-4 *4 (-1240)) (-4 *5 (-1262 *4)) (-4 *6 (-1262 (-419 *5))) + (-5 *2 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"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 (-194))))) (((*1 *2 *1) - (|partial| -12 (-4 *1 (-167 *3)) (-4 *3 (-174)) (-4 *3 (-557)) - (-5 *2 (-419 (-576))))) - ((*1 *2 *1) - (|partial| -12 (-5 *2 (-419 (-576))) (-5 *1 (-430 *3)) (-4 *3 (-557)) - (-4 *3 (-568)))) - ((*1 *2 *1) (|partial| -12 (-4 *1 (-557)) (-5 *2 (-419 (-576))))) - ((*1 *2 *1) - (|partial| -12 (-4 *1 (-809 *3)) (-4 *3 (-174)) (-4 *3 (-557)) - (-5 *2 (-419 (-576))))) - ((*1 *2 *1) - (|partial| -12 (-5 *2 (-419 (-576))) (-5 *1 (-845 *3)) (-4 *3 (-557)) - (-4 *3 (-1119)))) - ((*1 *2 *1) - (|partial| -12 (-5 *2 (-419 (-576))) (-5 *1 (-855 *3)) (-4 *3 (-557)) - (-4 *3 (-1119)))) - ((*1 *2 *1) - (|partial| -12 (-4 *1 (-1016 *3)) (-4 *3 (-174)) (-4 *3 (-557)) - (-5 *2 (-419 (-576))))) - ((*1 *2 *3) - (|partial| -12 (-5 *2 (-419 (-576))) (-5 *1 (-1027 *3)) - (-4 *3 (-1057 *2))))) 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(|:| |fn| (-326 (-227))) - (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) + (|:| -4005 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227))))) (-5 *1 (-571)))) ((*1 *2 *1) @@ -7817,95 +7876,81 @@ (|:| |intvals| (-656 (-227))) (|:| |g| (-326 (-227))) (|:| |abserr| (-227)) (|:| |relerr| (-227))))) (-5 *1 (-815))))) -(((*1 *2 *2) - (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2)) - (-4 *2 (-13 (-442 *3) (-1021)))))) -(((*1 *2 *2 *1) - (-12 (-5 *2 (-1310 *3 *4)) (-4 *1 (-385 *3 *4)) (-4 *3 (-862)) - (-4 *4 (-174)))) - ((*1 *1 *1 *1) (|partial| -12 (-4 *1 (-397 *2)) (-4 *2 (-1119)))) - ((*1 *1 *1 *2) (|partial| -12 (-5 *1 (-831 *2)) (-4 *2 (-862)))) - ((*1 *1 *1 *1) - (-12 (-4 *1 (-1303 *2 *3)) (-4 *2 (-862)) (-4 *3 (-1068)))) - ((*1 *1 *1 *2) - (-12 (-5 *2 (-831 *3)) (-4 *1 (-1303 *3 *4)) (-4 *3 (-862)) - (-4 *4 (-1068)))) - ((*1 *1 *1 *2) - (-12 (-4 *1 (-1303 *2 *3)) (-4 *2 (-862)) (-4 *3 (-1068))))) -(((*1 *2 *2 *2 *3) - (-12 (-5 *3 (-783)) (-4 *2 (-568)) (-5 *1 (-988 *2 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((*1 *2 *1) (-12 (-5 *2 (-1177)) (-5 *1 (-1008)))) @@ -7913,179 +7958,224 @@ ((*1 *2 *1) (-12 (-4 *2 (-13 (-1119) (-34))) (-5 *1 (-1159 *2 *3)) (-4 *3 (-13 (-1119) (-34)))))) -(((*1 *2 *1) (-12 (-5 *2 (-1291)) (-5 *1 (-834))))) -(((*1 *2 *1) (-12 (-4 *1 (-539)) (-5 *2 (-703 (-558)))))) -(((*1 *2 *1) (|partial| -12 (-5 *2 (-518)) (-5 *1 (-289))))) -(((*1 *2 *2) (-12 (-5 *2 (-1177)) (-5 *1 (-874))))) -(((*1 *1 *1 *1 *2) - (-12 (-5 *2 (-1 *3 *3 *3 *3 *3)) (-4 *3 (-1119)) (-5 *1 (-103 *3)))) - ((*1 *2 *1 *3) - (-12 (-5 *3 (-1 *2 *2 *2)) (-5 *1 (-103 *2)) (-4 *2 (-1119))))) -(((*1 *1 *2) - (-12 - (-5 *2 - (-656 - (-2 - (|:| -4300 - (-2 (|:| |var| (-1195)) (|:| |fn| (-326 (-227))) - (|:| -1951 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) - (|:| |relerr| (-227)))) - (|:| -4391 - (-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| (-1176 (-227))) - (|:| |notEvaluated| - "Internal singularities not yet evaluated"))) - (|:| -1951 - (-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 (-571))))) +(((*1 *2 *2 *3) + (-12 (-5 *3 (-576)) (-5 *1 (-708 *2)) (-4 *2 (-1262 *3))))) +(((*1 *2 *3 *3 *3 *4 *3 *3 *4 *4 *4 *5) + (-12 (-5 *3 (-227)) (-5 *4 (-576)) + (-5 *5 (-3 (|:| |fn| (-400)) (|:| |fp| (-64 G)))) (-5 *2 (-1054)) + (-5 *1 (-760))))) +(((*1 *2 *1) + (-12 (-4 *3 (-13 (-374) (-148))) + (-5 *2 (-656 (-2 (|:| -2795 (-783)) (|:| -2344 *4) (|:| |num| *4)))) + (-5 *1 (-411 *3 *4)) (-4 *4 (-1262 *3))))) +(((*1 *2 *3 *1) + (-12 (-5 *3 (-518)) (-5 *2 (-656 (-982))) (-5 *1 (-301))))) +(((*1 *2 *2) + (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2)) + (-4 *2 (-13 (-442 *3) (-1021)))))) +(((*1 *2 *3 *4 *3) + (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1054)) + (-5 *1 (-759))))) (((*1 *2 *3) (-12 (-5 *2 (-576)) (-5 *1 (-581 *3)) (-4 *3 (-1057 *2)))) ((*1 *2 *1) (-12 (-4 *1 (-1122 *3 *4 *2 *5 *6)) (-4 *3 (-1119)) (-4 *4 (-1119)) (-4 *5 (-1119)) (-4 *6 (-1119)) (-4 *2 (-1119))))) -(((*1 *1 *1 *2) (-12 (-5 *2 (-938)) (-4 *1 (-756 *3)) (-4 *3 (-174))))) -(((*1 *2 *1) - (-12 - (-5 *2 - (-1286 - (-2 (|:| |scaleX| (-227)) (|:| |scaleY| (-227)) - (|:| |deltaX| (-227)) (|:| |deltaY| (-227)) (|:| -1941 (-576)) - (|:| -3345 (-576)) (|:| |spline| (-576)) (|:| -3282 (-576)) - (|:| |axesColor| (-886)) (|:| -2303 (-576)) - (|:| |unitsColor| (-886)) (|:| |showing| (-576))))) - (-5 *1 (-1287))))) -(((*1 *2 *1 *3) - (-12 (-5 *3 (-576)) (-5 *2 (-3 "nil" "sqfr" "irred" "prime")) - (-5 *1 (-430 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((*1 *2 *3) - (-12 (-5 *3 (-656 (-1177))) (-5 *2 (-576)) (-5 *1 (-246))))) -(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-115))))) -(((*1 *2 *2) (-12 (-5 *2 (-701 *3)) (-4 *3 (-317)) (-5 *1 (-712 *3))))) -(((*1 *1 *1) (-4 *1 (-641))) + (-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| (-1176 (-227))) + (|:| |notEvaluated| + "Internal singularities not yet evaluated"))) + (|:| -4005 + (-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 (-1054)) (-5 *1 (-315))))) +(((*1 *2 *2) (-12 (-5 *2 (-227)) (-5 *1 (-228)))) + ((*1 *2 *2) (-12 (-5 *2 (-171 (-227))) (-5 *1 (-228)))) ((*1 *2 *2) - (-12 (-4 *3 (-568)) (-5 *1 (-642 *3 *2)) - (-4 *2 (-13 (-442 *3) (-1021) (-1221)))))) -(((*1 *2 *1 *1) (-12 (-4 *1 (-1119)) (-5 *2 (-112))))) -(((*1 *2 *3 *3 *3 *3 *4) - (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1054)) (-5 *1 (-770))))) -(((*1 *1 *2) - (-12 (-5 *2 (-326 *3)) (-4 *3 (-13 (-1068) (-862))) - (-5 *1 (-225 *3 *4)) (-14 *4 (-656 (-1195)))))) + (-12 (-4 *3 (-568)) (-5 *1 (-443 *3 *2)) (-4 *2 (-442 *3)))) + ((*1 *1 *1) (-4 *1 (-1158)))) +(((*1 *2 *2 *3) (-12 (-5 *2 (-576)) (-5 *3 (-783)) (-5 *1 (-573))))) +(((*1 *1 *1 *1 *2) + (-12 (-5 *2 (-783)) (-4 *1 (-1084 *3 *4 *5)) (-4 *3 (-1068)) + (-4 *4 (-805)) (-4 *5 (-862)) (-4 *3 (-568))))) +(((*1 *2 *1) + (-12 (-5 *2 (-1191 (-419 (-969 *3)))) (-5 *1 (-465 *3 *4 *5 *6)) + (-4 *3 (-568)) (-4 *3 (-174)) (-14 *4 (-938)) + (-14 *5 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at both end points") - (|:| |notEvaluated| "End point continuity not yet evaluated"))) - (-5 *1 (-194))))) -(((*1 *2 *1) (-12 (-5 *2 (-656 (-1177))) (-5 *1 (-406)))) - ((*1 *2 *1) (-12 (-5 *2 (-656 (-1177))) (-5 *1 (-1216))))) -(((*1 *2 *2) - (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2)) - (-4 *2 (-13 (-442 *3) (-1021)))))) -(((*1 *2 *1 *2) - (-12 (-4 *1 (-375 *3 *2)) (-4 *3 (-1119)) (-4 *2 (-1119))))) + (-656 + (-2 (|:| |det| *8) (|:| |rows| (-656 (-576))) + (|:| |cols| (-656 (-576)))))) + (-5 *1 (-941 *5 *6 *7 *8))))) (((*1 *2 *1 *1) (-12 (-4 *1 (-1284 *3)) (-4 *3 (-1236)) (-4 *3 (-1068)) (-5 *2 (-701 *3))))) @@ -12112,101 +12232,87 @@ (-12 (-5 *3 (-938)) (-5 *4 (-886)) (-5 *2 (-1291)) (-5 *1 (-1287)))) ((*1 *2 *1 *3 *4) (-12 (-5 *3 (-938)) (-5 *4 (-1177)) (-5 *2 (-1291)) (-5 *1 (-1287))))) -(((*1 *2 *2 *3) - (-12 (-4 *4 (-13 (-374) (-148) (-1057 (-419 (-576))))) - (-4 *3 (-1262 *4)) (-5 *1 (-821 *4 *3 *2 *5)) (-4 *2 (-668 *3)) - (-4 *5 (-668 (-419 *3))))) - ((*1 *2 *2 *3) - (-12 (-5 *3 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+(((*1 *2 *2 *2) (-12 (-5 *2 (-390)) (-5 *1 (-207)))) + ((*1 *2 *2 *3) + (-12 (-5 *3 (-656 (-390))) (-5 *2 (-390)) (-5 *1 (-207))))) +(((*1 *2 *1) (-12 (-5 *2 (-1154)) (-5 *1 (-529))))) +(((*1 *2 *2) + (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2)) + (-4 *2 (-13 (-442 *3) (-1021)))))) +(((*1 *1 *1) (-12 (-4 *1 (-442 *2)) (-4 *2 (-1119)) (-4 *2 (-1068)))) + ((*1 *1 *1) (-12 (-4 *1 (-1011 *2)) (-4 *2 (-568))))) +(((*1 *2 *1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-173))))) +(((*1 *2 *3 *4 *4 *4 *5 *6 *7) + (|partial| -12 (-5 *5 (-1195)) + (-5 *6 + (-1 + (-3 + (-2 (|:| |mainpart| *4) + (|:| |limitedlogs| + (-656 (-2 (|:| |coeff| *4) (|:| |logand| *4))))) + "failed") + *4 (-656 *4))) + (-5 *7 + (-1 (-3 (-2 (|:| -2268 *4) (|:| |coeff| *4)) "failed") *4 *4)) + (-4 *4 (-13 (-1221) (-27) (-442 *8))) + (-4 *8 (-13 (-464) (-148) (-1057 *3) (-651 *3))) (-5 *3 (-576)) + (-5 *2 (-656 *4)) (-5 *1 (-1033 *8 *4))))) (((*1 *2 *1) (-12 (-4 *1 (-261 *3)) (-4 *3 (-1236)) (-5 *2 (-783)))) ((*1 *2 *1) (-12 (-4 *1 (-312)) 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*3 *6) + (-12 (-5 *3 (-576)) (-5 *5 (-701 (-227))) + (-5 *6 (-3 (|:| |fn| (-400)) (|:| |fp| (-70 APROD)))) (-5 *4 (-227)) + (-5 *2 (-1054)) (-5 *1 (-768))))) +(((*1 *2 *1) (-12 (-5 *2 (-185 (-255))) (-5 *1 (-254))))) +(((*1 *2 *3) + (-12 (-5 *3 (-656 *2)) (-5 *1 (-498 *2)) (-4 *2 (-1262 (-576)))))) +(((*1 *2 *1 *1) + (-12 (-4 *3 (-1119)) + (-5 *2 (-2 (|:| |lm| *1) (|:| |mm| *1) (|:| |rm| *1))) + (-4 *1 (-397 *3))))) +(((*1 *1 *1) (-4 *1 (-881 *2)))) (((*1 *1 *1) (-12 (-4 *1 (-47 *2 *3)) (-4 *2 (-1068)) (-4 *3 (-804)))) ((*1 *1 *1) (-12 (-5 *1 (-50 *2 *3)) (-4 *2 (-1068)) (-14 *3 (-656 (-1195))))) @@ -12996,8 +13173,8 @@ (-12 (-14 *2 (-656 (-1195))) (-4 *3 (-174)) (-4 *5 (-243 (-3500 *2) (-783))) (-14 *6 - (-1 (-112) (-2 (|:| -3227 *4) (|:| -2018 *5)) - (-2 (|:| -3227 *4) (|:| -2018 *5)))) + (-1 (-112) (-2 (|:| -3227 *4) (|:| -2795 *5)) + (-2 (|:| -3227 *4) (|:| -2795 *5)))) (-5 *1 (-473 *2 *3 *4 *5 *6 *7)) (-4 *4 (-862)) (-4 *7 (-966 *3 *5 (-876 *2))))) ((*1 *1 *1) (-12 (-4 *1 (-521 *2 *3)) (-4 *2 (-1119)) (-4 *3 (-862)))) @@ -13013,65 +13190,47 @@ (-4 *2 (-862)))) ((*1 *1 *1) (-12 (-5 *1 (-1309 *2 *3)) (-4 *2 (-1068)) (-4 *3 (-858))))) -(((*1 *1 *1 *2) (-12 (-4 *1 (-1117 *2)) (-4 *2 (-1119)))) - ((*1 *1 *1 *1) (-12 (-4 *1 (-1117 *2)) (-4 *2 (-1119))))) -(((*1 *1) (-5 *1 (-1287)))) -(((*1 *2 *3 *1) - (-12 (-5 *3 (-518)) (-5 *2 (-703 (-109))) (-5 *1 (-177)))) - ((*1 *2 *3 *1) - (-12 (-5 *3 (-518)) (-5 *2 (-703 (-109))) (-5 *1 (-1104))))) (((*1 *2 *3) (-12 (-5 *3 (-503)) (-5 *2 (-703 (-591))) (-5 *1 (-591))))) -(((*1 *2 *3) - (-12 (-5 *3 (-656 *7)) (-4 *7 (-966 *4 *5 *6)) (-4 *4 (-464)) - (-4 *5 (-805)) (-4 *6 (-862)) (-5 *2 (-1291)) - (-5 *1 (-461 *4 *5 *6 *7))))) -(((*1 *2 *3) - (-12 (-4 *3 (-13 (-317) (-10 -8 (-15 -1688 ((-430 $) $))))) - (-4 *4 (-1262 *3)) - (-5 *2 - (-2 (|:| -4032 (-701 *3)) (|:| |basisDen| *3) - (|:| |basisInv| (-701 *3)))) - (-5 *1 (-361 *3 *4 *5)) (-4 *5 (-421 *3 *4)))) - ((*1 *2 *3) - (-12 (-5 *3 (-576)) (-4 *4 (-1262 *3)) - (-5 *2 - (-2 (|:| -4032 (-701 *3)) (|:| |basisDen| *3) - (|:| |basisInv| (-701 *3)))) - (-5 *1 (-780 *4 *5)) (-4 *5 (-421 *3 *4)))) +(((*1 *2 *3) (-12 (-5 *3 (-656 *2)) (-5 *1 (-1210 *2)) (-4 *2 (-374))))) +(((*1 *2) + (-12 (-4 *4 (-174)) (-5 *2 (-112)) (-5 *1 (-377 *3 *4)) + (-4 *3 (-378 *4)))) + ((*1 *2) (-12 (-4 *1 (-378 *3)) (-4 *3 (-174)) (-5 *2 (-112))))) +(((*1 *1 *2 *3) + (-12 + (-5 *3 + (-656 + (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| *2) + (|:| |xpnt| (-576))))) + (-4 *2 (-568)) (-5 *1 (-430 *2)))) ((*1 *2 *3) - (-12 (-4 *4 (-360)) (-4 *3 (-1262 *4)) (-4 *5 (-1262 *3)) - (-5 *2 - (-2 (|:| -4032 (-701 *3)) (|:| |basisDen| *3) - (|:| |basisInv| (-701 *3)))) - (-5 *1 (-1004 *4 *3 *5 *6)) (-4 *6 (-736 *3 *5)))) + (-12 + (-5 *3 + (-2 (|:| |contp| (-576)) + (|:| -2389 (-656 (-2 (|:| |irr| *4) (|:| -1531 (-576))))))) + (-4 *4 (-1262 (-576))) (-5 *2 (-430 *4)) (-5 *1 (-454 *4))))) +(((*1 *2) + (-12 (-4 *4 (-174)) (-5 *2 (-112)) (-5 *1 (-377 *3 *4)) + (-4 *3 (-378 *4)))) + ((*1 *2) (-12 (-4 *1 (-378 *3)) (-4 *3 (-174)) (-5 *2 (-112))))) +(((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-573)))) ((*1 *2 *3) - (-12 (-4 *4 (-360)) (-4 *3 (-1262 *4)) (-4 *5 (-1262 *3)) - (-5 *2 - (-2 (|:| -4032 (-701 *3)) (|:| |basisDen| *3) - (|:| |basisInv| (-701 *3)))) - (-5 *1 (-1295 *4 *3 *5 *6)) (-4 *6 (-421 *3 *5))))) -(((*1 *2 *3 *4 *4) - (-12 (-5 *4 (-112)) (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-862)) - (-4 *8 (-1084 *5 *6 *7)) - (-5 *2 - (-2 (|:| |val| (-656 *8)) - (|:| |towers| (-656 (-1046 *5 *6 *7 *8))))) - (-5 *1 (-1046 *5 *6 *7 *8)) (-5 *3 (-656 *8)))) - ((*1 *2 *3 *4 *4) - (-12 (-5 *4 (-112)) (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 (-862)) - (-4 *8 (-1084 *5 *6 *7)) - (-5 *2 - (-2 (|:| |val| (-656 *8)) - (|:| |towers| (-656 (-1165 *5 *6 *7 *8))))) - (-5 *1 (-1165 *5 *6 *7 *8)) (-5 *3 (-656 *8))))) -(((*1 *2 *3 *4) - (-12 (-4 *5 (-1119)) (-4 *3 (-915 *5)) (-5 *2 (-701 *3)) - (-5 *1 (-704 *5 *3 *6 *4)) (-4 *6 (-384 *3)) - (-4 *4 (-13 (-384 *5) (-10 -7 (-6 -4462))))))) -(((*1 *1 *1) - (|partial| -12 (-5 *1 (-304 *2)) (-4 *2 (-738)) (-4 *2 (-1236))))) -(((*1 *2 *1) - (-12 (-5 *2 (-656 (-922 *3))) (-5 *1 (-921 *3)) (-4 *3 (-1119))))) + (-12 (-5 *2 (-1191 (-419 (-576)))) (-5 *1 (-959)) (-5 *3 (-576))))) +(((*1 *2 *1 *3) (-12 (-5 *3 (-1139)) (-5 *2 (-112)) (-5 *1 (-833))))) +(((*1 *2 *1 *1 *3) + (-12 (-4 *4 (-1068)) (-4 *5 (-805)) (-4 *3 (-862)) + (-5 *2 (-2 (|:| -1677 *1) (|:| |gap| (-783)) (|:| -3730 *1))) + (-4 *1 (-1084 *4 *5 *3)))) + ((*1 *2 *1 *1) + (-12 (-4 *3 (-1068)) (-4 *4 (-805)) (-4 *5 (-862)) + (-5 *2 (-2 (|:| -1677 *1) (|:| |gap| (-783)) (|:| -3730 *1))) + (-4 *1 (-1084 *3 *4 *5))))) +(((*1 *2 *3 *4 *3 *5) + (-12 (-5 *3 (-1177)) (-5 *4 (-171 (-227))) (-5 *5 (-576)) + (-5 *2 (-1054)) (-5 *1 (-770))))) +(((*1 *2 *3 *4 *2) + (-12 (-5 *2 (-656 (-656 (-656 *5)))) (-5 *3 (-1 (-112) *5 *5)) + (-5 *4 (-656 *5)) (-4 *5 (-862)) (-5 *1 (-1206 *5))))) (((*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-1119)) (-4 *1 (-1117 *3)))) ((*1 *1) (-12 (-4 *1 (-1117 *2)) (-4 *2 (-1119))))) @@ -13080,13 +13239,18 @@ (((*1 *2 *1) (-12 (-4 *3 (-1068)) (-4 *4 (-805)) (-4 *5 (-862)) (-5 *2 (-656 *1)) (-4 *1 (-966 *3 *4 *5))))) -(((*1 *2 *3) - (-12 (-5 *2 (-1176 (-576))) (-5 *1 (-1179 *4)) (-4 *4 (-1068)) - (-5 *3 (-576))))) -(((*1 *2 *1) (-12 (-5 *2 (-1291)) (-5 *1 (-834))))) -(((*1 *2 *2 *2) - (|partial| -12 (-4 *3 (-13 (-568) (-148))) (-5 *1 (-1256 *3 *2)) - (-4 *2 (-1262 *3))))) +(((*1 *2 *3 *3) + (|partial| -12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-862)) + (-4 *7 (-1084 *4 *5 *6)) (-5 *2 (-112)) + (-5 *1 (-1007 *4 *5 *6 *7 *3)) (-4 *3 (-1090 *4 *5 *6 *7)))) + ((*1 *2 *3 *3) + (|partial| -12 (-4 *4 (-464)) (-4 *5 (-805)) (-4 *6 (-862)) + (-4 *7 (-1084 *4 *5 *6)) (-5 *2 (-112)) + (-5 *1 (-1126 *4 *5 *6 *7 *3)) (-4 *3 (-1090 *4 *5 *6 *7))))) +(((*1 *2 *1) + (-12 (-5 *2 (-703 (-885 (-983 *3) (-983 *3)))) (-5 *1 (-983 *3)) + (-4 *3 (-1119))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-905 *3)) (-4 *3 (-1119))))) (((*1 *2) (-12 (-14 *4 *2) (-4 *5 (-1236)) (-5 *2 (-783)) (-5 *1 (-242 *3 *4 *5)) (-4 *3 (-243 *4 *5)))) @@ -13112,27 +13276,34 @@ ((*1 *2 *1) (-12 (-4 *2 (-13 (-860) (-374))) (-5 *1 (-1080 *2 *3)) (-4 *3 (-1262 *2))))) -(((*1 *1 *2) - (-12 (-5 *2 (-656 (-938))) (-5 *1 (-1120 *3 *4)) (-14 *3 (-938)) - (-14 *4 (-938))))) +(((*1 *2 *2) + (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2)) + (-4 *2 (-13 (-442 *3) (-1021)))))) +(((*1 *2 *3) + (-12 (-5 *2 (-112)) (-5 *1 (-121 *3)) (-4 *3 (-1262 (-576)))))) (((*1 *2 *2 *2) - (-12 (-5 *2 (-430 *3)) (-4 *3 (-568)) (-5 *1 (-431 *3))))) + (-12 (-4 *3 (-374)) (-5 *1 (-778 *2 *3)) (-4 *2 (-720 *3)))) + ((*1 *1 *1 *1) (-12 (-4 *1 (-864 *2)) (-4 *2 (-1068)) (-4 *2 (-374))))) +(((*1 *2 *3 *3 *3 *3 *3 *4 *3 *4 *3 *5 *5 *3) + (-12 (-5 *3 (-576)) (-5 *4 (-112)) (-5 *5 (-701 (-227))) + (-5 *2 (-1054)) (-5 *1 (-767))))) +(((*1 *1 *2 *3) + (-12 (-5 *3 (-430 *2)) (-4 *2 (-317)) (-5 *1 (-931 *2)))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-419 (-969 *5))) (-5 *4 (-1195)) + (-4 *5 (-13 (-317) (-148))) (-5 *2 (-52)) (-5 *1 (-932 *5)))) + ((*1 *2 *3 *4 *5) + (-12 (-5 *4 (-430 (-969 *6))) (-5 *5 (-1195)) (-5 *3 (-969 *6)) + (-4 *6 (-13 (-317) (-148))) (-5 *2 (-52)) (-5 *1 (-932 *6))))) +(((*1 *1 *2 *2 *2) + (-12 (-5 *1 (-229 *2)) (-4 *2 (-13 (-374) (-1221))))) + ((*1 *1 *1 *2) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374)))) + ((*1 *1 *2) (-12 (-5 *1 (-730 *2)) (-4 *2 (-374)))) + ((*1 *2 *1 *3 *4 *4) + (-12 (-5 *3 (-938)) (-5 *4 (-390)) (-5 *2 (-1291)) (-5 *1 (-1287))))) (((*1 *2 *1) - (-12 (-4 *1 (-1269 *3 *4)) (-4 *3 (-1068)) (-4 *4 (-1246 *3)) - (-5 *2 (-419 (-576)))))) -(((*1 *2 *1 *3) - (-12 (-5 *3 (-576)) (-4 *1 (-57 *4 *2 *5)) (-4 *4 (-1236)) - (-4 *5 (-384 *4)) (-4 *2 (-384 *4)))) - ((*1 *2 *1 *3) - (-12 (-5 *3 (-576)) (-4 *1 (-1072 *4 *5 *6 *2 *7)) (-4 *6 (-1068)) - (-4 *7 (-243 *4 *6)) (-4 *2 (-243 *5 *6))))) -(((*1 *2 *3 *1) - (-12 (-5 *3 (-518)) (-5 *2 (-656 (-982))) (-5 *1 (-301))))) -(((*1 *2 *2 *2 *2 *3) - (-12 (-4 *3 (-568)) (-5 *1 (-988 *3 *2)) (-4 *2 (-1262 *3))))) -(((*1 *2 *3 *4 *4 *3) - (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1054)) - (-5 *1 (-759))))) + (-12 (-4 *1 (-616 *2 *3)) (-4 *3 (-1236)) (-4 *2 (-1119)) + (-4 *2 (-862))))) (((*1 *2 *1) (-12 (-4 *1 (-47 *2 *3)) (-4 *3 (-804)) (-4 *2 (-1068)))) ((*1 *2 *1) (-12 (-4 *2 (-1068)) (-5 *1 (-50 *2 *3)) (-14 *3 (-656 (-1195))))) @@ -13144,8 +13315,8 @@ ((*1 *2 *1) (-12 (-14 *3 (-656 (-1195))) (-4 *5 (-243 (-3500 *3) (-783))) (-14 *6 - (-1 (-112) (-2 (|:| -3227 *4) (|:| -2018 *5)) - (-2 (|:| -3227 *4) (|:| -2018 *5)))) + (-1 (-112) (-2 (|:| -3227 *4) (|:| -2795 *5)) + (-2 (|:| -3227 *4) (|:| -2795 *5)))) (-4 *2 (-174)) (-5 *1 (-473 *3 *2 *4 *5 *6 *7)) (-4 *4 (-862)) (-4 *7 (-966 *2 *5 (-876 *3))))) ((*1 *2 *1) (-12 (-4 *1 (-521 *2 *3)) (-4 *3 (-862)) (-4 *2 (-1119)))) @@ -13162,24 +13333,34 @@ ((*1 *1 *1 *2) (-12 (-4 *1 (-1084 *3 *4 *2)) (-4 *3 (-1068)) (-4 *4 (-805)) (-4 *2 (-862))))) -(((*1 *2 *1) (-12 (-5 *2 (-1154)) (-5 *1 (-1296))))) -(((*1 *2 *1 *3) (-12 (-4 *1 (-539)) (-5 *3 (-129)) (-5 *2 (-783))))) -(((*1 *2) (-12 (-5 *2 (-656 (-1177))) (-5 *1 (-841))))) -(((*1 *1 *1 *2) - (-12 (-5 *2 (-112)) (-5 *1 (-1159 *3 *4)) (-4 *3 (-13 (-1119) (-34))) - (-4 *4 (-13 (-1119) (-34)))))) -(((*1 *2 *3 *1) - (-12 (-5 *3 (-922 *4)) (-4 *4 (-1119)) (-5 *2 (-656 (-783))) - (-5 *1 (-921 *4))))) -(((*1 *2 *3) (-12 (-5 *3 (-834)) (-5 *2 (-52)) (-5 *1 (-841))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-1191 *5)) (-4 *5 (-374)) (-5 *2 (-656 *6)) - (-5 *1 (-544 *5 *6 *4)) (-4 *6 (-374)) (-4 *4 (-13 (-374) (-860)))))) -(((*1 *2 *2) (-12 (-5 *2 (-1177)) (-5 *1 (-771))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-783)) (-5 *4 (-576)) (-5 *1 (-457 *2)) (-4 *2 (-1068))))) -(((*1 *1 *1) (-5 *1 (-227))) ((*1 *1 *1) (-5 *1 (-390))) - ((*1 *1) (-5 *1 (-390)))) +(((*1 *2 *2 *3 *3 *4) + (-12 (-5 *4 (-783)) (-4 *3 (-568)) (-5 *1 (-988 *3 *2)) + (-4 *2 (-1262 *3))))) +(((*1 *2 *3 *3) + (-12 (-4 *3 (-317)) (-4 *3 (-174)) (-4 *4 (-384 *3)) + (-4 *5 (-384 *3)) (-5 *2 (-2 (|:| -3042 *3) (|:| -3730 *3))) + (-5 *1 (-700 *3 *4 *5 *6)) (-4 *6 (-699 *3 *4 *5)))) + ((*1 *2 *3 *3) + (-12 (-5 *2 (-2 (|:| -3042 *3) (|:| -3730 *3))) (-5 *1 (-712 *3)) + (-4 *3 (-317))))) +(((*1 *1 *1) + (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1068))))) +(((*1 *2 *2) + (-12 (-4 *3 (-464)) (-4 *4 (-805)) (-4 *5 (-862)) + (-5 *1 (-461 *3 *4 *5 *2)) (-4 *2 (-966 *3 *4 *5))))) +(((*1 *2 *3) (-12 (-5 *3 (-1177)) (-5 *2 (-390)) (-5 *1 (-97)))) + ((*1 *2 *3 *3) (-12 (-5 *3 (-1177)) (-5 *2 (-390)) (-5 *1 (-97))))) +(((*1 *2 *1) (-12 (-4 *1 (-1011 *2)) (-4 *2 (-568)) (-4 *2 (-557)))) + ((*1 *1 *1) (-4 *1 (-1079)))) +(((*1 *1 *1 *1) (-4 *1 (-986)))) +(((*1 *1 *1) + (-12 (|has| *1 (-6 -4463)) (-4 *1 (-1274 *2)) (-4 *2 (-1236))))) +(((*1 *2 *3) + (-12 (-4 *1 (-937)) (-5 *2 (-2 (|:| -1677 (-656 *1)) (|:| -2140 *1))) + (-5 *3 (-656 *1))))) +(((*1 *2 *3) + (-12 (-4 *4 (-568)) (-4 *2 (-13 (-442 (-171 *4)) (-1021) (-1221))) + (-5 *1 (-612 *4 *3 *2)) (-4 *3 (-13 (-442 *4) (-1021) (-1221)))))) (((*1 *1 *1) (-12 (-4 *1 (-47 *2 *3)) (-4 *2 (-1068)) (-4 *3 (-804)))) ((*1 *2 *1) (-12 (-4 *1 (-393 *3 *2)) (-4 *3 (-1068)) (-4 *2 (-1119)))) @@ -13187,8 +13368,8 @@ (-12 (-14 *3 (-656 (-1195))) (-4 *4 (-174)) (-4 *6 (-243 (-3500 *3) (-783))) (-14 *7 - (-1 (-112) (-2 (|:| -3227 *5) (|:| -2018 *6)) - (-2 (|:| -3227 *5) (|:| -2018 *6)))) + (-1 (-112) (-2 (|:| -3227 *5) (|:| -2795 *6)) + (-2 (|:| -3227 *5) (|:| -2795 *6)))) (-5 *2 (-725 *5 *6 *7)) (-5 *1 (-473 *3 *4 *5 *6 *7 *8)) (-4 *5 (-862)) (-4 *8 (-966 *4 *6 (-876 *3))))) ((*1 *2 *1) @@ -13197,156 +13378,101 @@ ((*1 *1 *1) (-12 (-4 *1 (-992 *2 *3 *4)) (-4 *2 (-1068)) (-4 *3 (-804)) (-4 *4 (-862))))) -(((*1 *1 *1 *1) (-12 (-5 *1 (-983 *2)) (-4 *2 (-1119))))) -(((*1 *2 *3 *2) - (-12 (-5 *2 (-886)) (-5 *3 (-656 (-270))) (-5 *1 (-268))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-656 *6)) (-5 *4 (-1195)) (-4 *6 (-442 *5)) - (-4 *5 (-1119)) (-5 *2 (-656 (-624 *6))) (-5 *1 (-585 *5 *6))))) -(((*1 *2 *3) - (-12 (-5 *3 (-1065 *4 *5)) (-4 *4 (-13 (-860) (-317) (-148) (-1041))) - (-14 *5 (-656 (-1195))) - (-5 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(-206))))) +(((*1 *1 *1 *1) + (-12 (|has| *1 (-6 -4463)) (-4 *1 (-120 *2)) (-4 *2 (-1236))))) +(((*1 *2 *3) (-12 (-5 *3 (-938)) (-5 *2 (-921 (-576))) (-5 *1 (-934)))) ((*1 *2 *3) - (-12 (-5 *3 (-656 (-969 *4))) (-4 *4 (-568)) - (-5 *2 (-656 (-656 (-304 (-419 (-969 *4)))))) (-5 *1 (-782 *4)))) - ((*1 *2 *3 *4 *5) - (-12 (-5 *3 (-701 *7)) - (-5 *5 - (-1 (-2 (|:| |particular| (-3 *6 "failed")) (|:| -4032 (-656 *6))) - *7 *6)) - (-4 *6 (-374)) (-4 *7 (-668 *6)) - (-5 *2 - (-2 (|:| |particular| (-3 (-1286 *6) "failed")) - (|:| -4032 (-656 (-1286 *6))))) - (-5 *1 (-825 *6 *7)) (-5 *4 (-1286 *6))))) + (-12 (-5 *3 (-656 (-576))) (-5 *2 (-921 (-576))) (-5 *1 (-934))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-905 *3)) (-4 *3 (-1119))))) (((*1 *2 *3) (-12 (-5 *3 @@ -13962,36 +14170,36 @@ ((*1 *2 *3) (-12 (-5 *3 (-419 (-969 *4))) (-4 *4 (-568)) (-5 *2 (-656 (-1195))) (-5 *1 (-1062 *4))))) -(((*1 *2 *2 *3) - (-12 (-4 *4 (-1119)) (-4 *2 (-915 *4)) (-5 *1 (-704 *4 *2 *5 *3)) - (-4 *5 (-384 *2)) 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*4))))) +(((*1 *2 *1) + (-12 (-4 *1 (-1122 *3 *4 *5 *6 *7)) (-4 *3 (-1119)) (-4 *4 (-1119)) + (-4 *5 (-1119)) (-4 *6 (-1119)) (-4 *7 (-1119)) (-5 *2 (-112))))) +(((*1 *2 *3 *3) + (-12 (-4 *4 (-13 (-317) (-148))) (-4 *5 (-13 (-862) (-626 (-1195)))) + (-4 *6 (-805)) (-4 *7 (-966 *4 *6 *5)) + (-5 *2 + (-2 (|:| |sysok| (-112)) (|:| |z0| (-656 *7)) (|:| |n0| (-656 *7)))) + (-5 *1 (-941 *4 *5 *6 *7)) (-5 *3 (-656 *7))))) +(((*1 *2) (-12 (-5 *2 (-576)) (-5 *1 (-1025))))) (((*1 *2 *3 *4 *2) (-12 (-5 *3 (-1191 (-419 (-1191 *2)))) (-5 *4 (-624 *2)) (-4 *2 (-13 (-442 *5) (-27) (-1221))) @@ -14013,12 +14221,14 @@ ((*1 *2 *3 *4) (-12 (-5 *3 (-419 (-1191 (-419 (-969 *5))))) (-5 *4 (-1195)) (-5 *2 (-419 (-969 *5))) (-5 *1 (-1062 *5)) (-4 *5 (-568))))) -(((*1 *2 *3 *4 *3) - (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1054)) - (-5 *1 (-759))))) -(((*1 *1 *1 *1) (-12 (-4 *1 (-864 *2)) (-4 *2 (-1068)) (-4 *2 (-374))))) -(((*1 *1 *1 *2 *3) (-12 (-5 *2 (-518)) (-5 *3 (-786)) (-5 *1 (-115)))) - ((*1 *1 *1 *2 *3) (-12 (-5 *2 (-1177)) (-5 *3 (-786)) (-5 *1 (-115))))) +(((*1 *2 *3) + (-12 + (-5 *3 + (-2 (|:| |stiffness| (-390)) (|:| |stability| (-390)) + (|:| |expense| (-390)) (|:| |accuracy| (-390)) + (|:| |intermediateResults| (-390)))) + (-5 *2 (-1054)) (-5 *1 (-315))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-115))))) (((*1 *2 *1) (-12 (-5 *1 (-703 *2)) (-4 *2 (-625 (-874))))) ((*1 *2 *1) (-12 (-5 *2 (-1177)) (-5 *1 (-888)))) ((*1 *2 *1) (-12 (-5 *2 (-518)) (-5 *1 (-888)))) @@ -14059,18 +14269,40 @@ ((*1 *2 *1) (-12 (-5 *2 (-518)) (-5 *1 (-1200)))) ((*1 *2 *1) (-12 (-5 *2 (-227)) (-5 *1 (-1200)))) ((*1 *2 *1) (-12 (-5 *2 (-576)) (-5 *1 (-1200))))) -(((*1 *2 *2) - (-12 (-5 *2 (-656 *6)) (-4 *6 (-1084 *3 *4 *5)) (-4 *3 (-148)) - (-4 *3 (-317)) (-4 *3 (-568)) (-4 *4 (-805)) (-4 *5 (-862)) - (-5 *1 (-996 *3 *4 *5 *6))))) -(((*1 *1 *2 *3) - (-12 (-5 *2 (-902 *4 *5)) (-5 *3 (-902 *4 *6)) (-4 *4 (-1119)) - (-4 *5 (-1119)) (-4 *6 (-678 *5)) (-5 *1 (-898 *4 *5 *6))))) -(((*1 *2 *1) 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(-12 (-5 *2 (-1 *3 *3)) (-4 *1 (-397 *3)) (-4 *3 (-1119)))) + ((*1 *1 *2 *1) + (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1119)) (-5 *1 (-661 *3 *4 *5)) + (-4 *4 (-23)) (-14 *5 *4)))) (((*1 *2 *1 *1 *3) (-12 (-4 *1 (-1163)) (-5 *3 (-145)) (-5 *2 (-112))))) -(((*1 *2 *2) (-12 (-5 *2 (-1177)) (-5 *1 (-1214))))) -(((*1 *2 *3 *3) (-12 (-5 *3 (-1177)) (-5 *2 (-112)) (-5 *1 (-841))))) +(((*1 *2 *1) + (-12 (-4 *1 (-1303 *3 *4)) (-4 *3 (-862)) (-4 *4 (-1068)) + (-5 *2 (-2 (|:| |k| (-831 *3)) (|:| |c| *4)))))) +(((*1 *2 *3) + (-12 (-5 *3 (-783)) (-5 *2 (-701 (-969 *4))) (-5 *1 (-1047 *4)) + (-4 *4 (-1068))))) (((*1 *1 *2 *3) (-12 (-4 *1 (-47 *2 *3)) (-4 *2 (-1068)) (-4 *3 (-804)))) ((*1 *1 *2 *3) @@ -14080,8 +14312,8 @@ (-12 (-5 *3 (-725 *5 *6 *7)) (-4 *5 (-862)) (-4 *6 (-243 (-3500 *4) (-783))) (-14 *7 - (-1 (-112) (-2 (|:| -3227 *5) (|:| -2018 *6)) - (-2 (|:| -3227 *5) (|:| -2018 *6)))) + (-1 (-112) (-2 (|:| -3227 *5) (|:| -2795 *6)) + (-2 (|:| -3227 *5) (|:| -2795 *6)))) (-14 *4 (-656 (-1195))) (-4 *2 (-174)) (-5 *1 (-473 *4 *2 *5 *6 *7 *8)) (-4 *8 (-966 *2 *6 (-876 *4))))) ((*1 *1 *2 *3) @@ -14111,251 +14343,131 @@ ((*1 *1 *1 *2 *3) (-12 (-4 *1 (-992 *4 *3 *2)) (-4 *4 (-1068)) (-4 *3 (-804)) (-4 *2 (-862))))) +(((*1 *2 *3) + (-12 (-5 *3 (-969 *4)) (-4 *4 (-13 (-317) (-148))) + (-4 *2 (-966 *4 *6 *5)) (-5 *1 (-941 *4 *5 *6 *2)) + (-4 *5 (-13 (-862) (-626 (-1195)))) (-4 *6 (-805))))) +(((*1 *2) (-12 (-5 *2 (-112)) (-5 *1 (-944))))) (((*1 *2 *2) - (-12 (-4 *3 (-1057 (-576))) (-4 *3 (-568)) (-5 *1 (-32 *3 *2)) - (-4 *2 (-442 *3)))) - ((*1 *2) - (-12 (-4 *4 (-174)) (-5 *2 (-1191 *4)) (-5 *1 (-166 *3 *4)) - (-4 *3 (-167 *4)))) - ((*1 *1 *1) (-12 (-4 *1 (-1068)) (-4 *1 (-312)))) - ((*1 *2) (-12 (-4 *1 (-339 *3)) (-4 *3 (-374)) (-5 *2 (-1191 *3)))) - ((*1 *2) (-12 (-4 *1 (-736 *3 *2)) (-4 *3 (-174)) (-4 *2 (-1262 *3)))) - ((*1 *2 *1) - (-12 (-4 *1 (-1087 *3 *2)) (-4 *3 (-13 (-860) (-374))) - (-4 *2 (-1262 *3))))) -(((*1 *2 *3 *4 *5 *6 *5 *3 *7) - (-12 (-5 *4 (-576)) - (-5 *6 - (-2 (|:| 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(-464)) (-4 *6 (-805)) (-4 *7 (-862)) + (-4 *3 (-1084 *5 *6 *7)) + (-5 *2 + (-2 (|:| |done| (-656 *4)) + (|:| |todo| (-656 (-2 (|:| |val| (-656 *3)) (|:| -3966 *4)))))) + (-5 *1 (-1164 *5 *6 *7 *3 *4)) (-4 *4 (-1128 *5 *6 *7 *3))))) +(((*1 *2 *1) (|partial| -12 (-5 *2 (-1177)) (-5 *1 (-1217))))) (((*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 (-227) (-227))) (-5 *4 (-1113 (-390))) (-5 *5 (-656 (-270))) (-5 *2 (-1287)) (-5 *1 (-262)))) @@ -15946,28 +15971,19 @@ ((*1 *2 *3 *3 *3 *4) (-12 (-5 *3 (-656 (-227))) (-5 *4 (-656 (-270))) (-5 *2 (-1288)) (-5 *1 (-267))))) -(((*1 *2 *3 *4) - (-12 (-5 *4 (-656 (-656 *8))) (-5 *3 (-656 *8)) - (-4 *8 (-966 *5 *7 *6)) (-4 *5 (-13 (-317) (-148))) - (-4 *6 (-13 (-862) (-626 (-1195)))) (-4 *7 (-805)) (-5 *2 (-112)) - (-5 *1 (-941 *5 *6 *7 *8))))) -(((*1 *2 *3) - (-12 (-4 *4 (-1068)) (-5 *2 (-576)) (-5 *1 (-455 *4 *3 *5)) - (-4 *3 (-1262 *4)) - (-4 *5 (-13 (-416) (-1057 *4) (-374) (-1221) (-294)))))) -(((*1 *2 *3 *4) - (-12 (-4 *5 (-464)) (-4 *6 (-805)) (-4 *7 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(-1154)) (-5 *1 (-138)))) ((*1 *2 *1) (-12 (-5 *2 (-1154)) (-5 *1 (-157)))) ((*1 *2 *1) (-12 (-5 *1 (-304 *2)) (-4 *2 (-1236)))) @@ -15988,44 +16004,32 @@ (-12 (-4 *1 (-1072 *3 *4 *5 *6 *7)) (-4 *5 (-1068)) (-4 *6 (-243 *4 *5)) (-4 *7 (-243 *3 *5)) (-5 *2 (-783))))) (((*1 *2 *3) - (-12 (-4 *4 (-568)) (-4 *5 (-805)) (-4 *6 (-862)) - (-4 *7 (-1084 *4 *5 *6)) - (-5 *2 (-2 (|:| |goodPols| (-656 *7)) (|:| |badPols| (-656 *7)))) - (-5 *1 (-996 *4 *5 *6 *7)) (-5 *3 (-656 *7))))) + (-12 (-5 *3 (-938)) (-5 *2 (-1197 (-419 (-576)))) (-5 *1 (-192))))) (((*1 *2) (-12 (-5 *2 (-1291)) (-5 *1 (-1103 *3)) (-4 *3 (-133))))) -(((*1 *2) - (-12 (-14 *4 (-783)) (-4 *5 (-1236)) (-5 *2 (-135)) - (-5 *1 (-242 *3 *4 *5)) (-4 *3 (-243 *4 *5)))) - ((*1 *2) - (-12 (-4 *4 (-374)) (-5 *2 (-135)) (-5 *1 (-338 *3 *4)) - (-4 *3 (-339 *4)))) - ((*1 *2) - (-12 (-5 *2 (-783)) (-5 *1 (-402 *3 *4 *5)) (-14 *3 *2) (-14 *4 *2) - (-4 *5 (-174)))) - ((*1 *2 *1) - (-12 (-4 *3 (-374)) (-4 *4 (-805)) (-4 *5 (-862)) (-5 *2 (-576)) 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