diff options
Diffstat (limited to 'src/share/algebra/browse.daase')
| -rw-r--r-- | src/share/algebra/browse.daase | 72 |
1 files changed, 36 insertions, 36 deletions
diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase index 7d7b97b7..4162b8c7 100644 --- a/src/share/algebra/browse.daase +++ b/src/share/algebra/browse.daase @@ -1,5 +1,5 @@ -(2266740 . 3485743640) +(2265884 . 3485764565) (-18 A S) ((|constructor| (NIL "One-dimensional-array aggregates serves as models for one-dimensional arrays. Categorically,{} these aggregates are finite linear aggregates with the \\spadatt{shallowlyMutable} property,{} that is,{} any component of the array may be changed without affecting the identity of the overall array. Array data structures are typically represented by a fixed area in storage and therefore cannot efficiently grow or shrink on demand as can list structures (see however \\spadtype{FlexibleArray} for a data structure which is a cross between a list and an array). Iteration over,{} and access to,{} elements of arrays is extremely fast (and often can be optimized to open-code). Insertion and deletion however is generally slow since an entirely new data structure must be created for the result."))) NIL @@ -88,7 +88,7 @@ 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 -1396 UP UPUP -1510) +(-40 -1396 UP UPUP -1500) ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}"))) ((-4452 |has| (-417 |#2|) (-372)) (-4457 |has| (-417 |#2|) (-372)) (-4451 |has| (-417 |#2|) (-372)) ((-4461 "*") . T) (-4453 . T) (-4454 . T) (-4456 . T)) ((|HasCategory| (-417 |#2|) (QUOTE (-146))) (|HasCategory| (-417 |#2|) (QUOTE (-148))) (|HasCategory| (-417 |#2|) (QUOTE (-358))) (-2833 (|HasCategory| (-417 |#2|) (QUOTE (-372))) (|HasCategory| (-417 |#2|) (QUOTE (-358)))) (|HasCategory| (-417 |#2|) (QUOTE (-372))) (|HasCategory| (-417 |#2|) (QUOTE (-377))) (-2833 (-12 (|HasCategory| (-417 |#2|) (QUOTE (-239))) (|HasCategory| (-417 |#2|) (QUOTE (-372)))) (|HasCategory| (-417 |#2|) (QUOTE (-358)))) (-2833 (-12 (|HasCategory| (-417 |#2|) (LIST (QUOTE -912) (QUOTE (-1193)))) (|HasCategory| (-417 |#2|) (QUOTE (-372)))) (-12 (|HasCategory| (-417 |#2|) (LIST (QUOTE -912) (QUOTE (-1193)))) (|HasCategory| (-417 |#2|) (QUOTE (-358))))) (-2833 (-12 (|HasCategory| (-417 |#2|) (LIST (QUOTE -912) (QUOTE (-1193)))) (|HasCategory| (-417 |#2|) (QUOTE (-372)))) (-12 (|HasCategory| (-417 |#2|) (QUOTE (-239))) (|HasCategory| (-417 |#2|) (QUOTE (-372)))) (|HasCategory| (-417 |#2|) (QUOTE (-358)))) (|HasCategory| (-417 |#2|) (LIST (QUOTE -649) (QUOTE (-574)))) (-2833 (|HasCategory| (-417 |#2|) (LIST (QUOTE -1054) (LIST (QUOTE -417) (QUOTE (-574))))) (|HasCategory| (-417 |#2|) (QUOTE (-372)))) (|HasCategory| (-417 |#2|) (LIST (QUOTE -1054) (LIST (QUOTE -417) (QUOTE (-574))))) (|HasCategory| (-417 |#2|) (LIST (QUOTE -1054) (QUOTE (-574)))) (|HasCategory| |#1| (QUOTE (-372))) (|HasCategory| |#1| (QUOTE (-377))) (-12 (|HasCategory| (-417 |#2|) (LIST (QUOTE -912) (QUOTE (-1193)))) (|HasCategory| (-417 |#2|) (QUOTE (-372)))) (-12 (|HasCategory| (-417 |#2|) (QUOTE (-239))) (|HasCategory| (-417 |#2|) (QUOTE (-372))))) @@ -903,10 +903,10 @@ NIL (-243 S -4106 R) ((|constructor| (NIL "\\indented{2}{This category represents a finite cartesian product of a given type.} Many categorical properties are preserved under this construction.")) (|dot| ((|#3| $ $) "\\spad{dot(x,y)} computes the inner product of the vectors \\spad{x} and \\spad{y}.")) (|unitVector| (($ (|PositiveInteger|)) "\\spad{unitVector(n)} produces a vector with 1 in position \\spad{n} and zero elsewhere.")) (|directProduct| (($ (|Vector| |#3|)) "\\spad{directProduct(v)} converts the vector \\spad{v} to become a direct product. Error: if the length of \\spad{v} is different from dim.")) (|finiteAggregate| ((|attribute|) "attribute to indicate an aggregate of finite size"))) NIL -((|HasCategory| |#3| (QUOTE (-372))) (|HasCategory| |#3| (QUOTE (-803))) (|HasCategory| |#3| (QUOTE (-860))) (|HasAttribute| |#3| (QUOTE -4456)) (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-377))) (|HasCategory| |#3| (QUOTE (-736))) (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (QUOTE (-1065))) (|HasCategory| |#3| (QUOTE (-1116)))) +((|HasCategory| |#3| (QUOTE (-372))) (|HasCategory| |#3| (QUOTE (-803))) (|HasCategory| |#3| (QUOTE (-860))) (|HasAttribute| |#3| (QUOTE -4456)) (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-377))) (|HasCategory| |#3| (QUOTE (-736))) (|HasCategory| |#3| (QUOTE (-21))) (|HasCategory| |#3| (QUOTE (-23))) (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (QUOTE (-1065))) (|HasCategory| |#3| (QUOTE (-1116)))) (-244 -4106 R) ((|constructor| (NIL "\\indented{2}{This category represents a finite cartesian product of a given type.} Many categorical properties are preserved under this construction.")) (|dot| ((|#2| $ $) "\\spad{dot(x,y)} computes the inner product of the vectors \\spad{x} and \\spad{y}.")) (|unitVector| (($ (|PositiveInteger|)) "\\spad{unitVector(n)} produces a vector with 1 in position \\spad{n} and zero elsewhere.")) (|directProduct| (($ (|Vector| |#2|)) "\\spad{directProduct(v)} converts the vector \\spad{v} to become a direct product. Error: if the length of \\spad{v} is different from dim.")) (|finiteAggregate| ((|attribute|) "attribute to indicate an aggregate of finite size"))) -((-4453 |has| |#2| (-1065)) (-4454 |has| |#2| (-1065)) (-4456 |has| |#2| (-6 -4456)) ((-4461 "*") |has| |#2| (-174)) (-4459 . T)) +((-4453 |has| |#2| (-1065)) (-4454 |has| |#2| (-1065)) (-4456 |has| |#2| (-6 -4456)) (-4459 . T)) NIL (-245 -4106 A B) ((|constructor| (NIL "\\indented{2}{This package provides operations which all take as arguments} direct products of elements of some type \\spad{A} and functions from \\spad{A} to another type \\spad{B}. The operations all iterate over their vector argument and either return a value of type \\spad{B} or a direct product over \\spad{B}.")) (|map| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2|) (|DirectProduct| |#1| |#2|)) "\\spad{map(f, v)} applies the function \\spad{f} to every element of the vector \\spad{v} producing a new vector containing the values.")) (|reduce| ((|#3| (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{reduce(func,vec,ident)} combines the elements in \\spad{vec} using the binary function \\spad{func}. Argument \\spad{ident} is returned if the vector is empty.")) (|scan| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{scan(func,vec,ident)} creates a new vector whose elements are the result of applying reduce to the binary function \\spad{func},{} increasing initial subsequences of the vector \\spad{vec},{} and the element \\spad{ident}."))) @@ -914,8 +914,8 @@ NIL NIL (-246 -4106 R) ((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying component type. This contrasts with simple vectors in that the members can be viewed as having constant length. Thus many categorical properties can by lifted from the underlying component type. Component extraction operations are provided but no updating operations. Thus new direct product elements can either be created by converting vector elements using the \\spadfun{directProduct} function or by taking appropriate linear combinations of basis vectors provided by the \\spad{unitVector} operation."))) -((-4453 |has| |#2| (-1065)) (-4454 |has| |#2| (-1065)) (-4456 |has| |#2| (-6 -4456)) ((-4461 "*") |has| |#2| (-174)) (-4459 . T)) -((-2833 (-12 (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -317) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-132))) (|HasCategory| |#2| (LIST (QUOTE -317) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (LIST (QUOTE -317) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (LIST (QUOTE -317) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-372))) (|HasCategory| |#2| (LIST (QUOTE -317) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-377))) (|HasCategory| |#2| (LIST (QUOTE -317) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-736))) (|HasCategory| |#2| (LIST (QUOTE -317) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-803))) (|HasCategory| |#2| (LIST (QUOTE -317) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-860))) (|HasCategory| |#2| (LIST (QUOTE -317) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1065))) (|HasCategory| |#2| (LIST (QUOTE -317) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1116))) (|HasCategory| |#2| (LIST (QUOTE -317) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -317) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -912) (QUOTE (-1193)))))) (-2833 (-12 (|HasCategory| |#2| (LIST (QUOTE -1054) (LIST (QUOTE -417) (QUOTE (-574))))) (|HasCategory| |#2| (QUOTE (-1116)))) (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (QUOTE (-1065)))) (-12 (|HasCategory| |#2| (QUOTE (-1065))) (|HasCategory| |#2| (LIST (QUOTE -649) (QUOTE (-574))))) (-12 (|HasCategory| |#2| (QUOTE (-1065))) (|HasCategory| |#2| (LIST (QUOTE -912) (QUOTE (-1193))))) (-12 (|HasCategory| |#2| (QUOTE (-1116))) (|HasCategory| |#2| (LIST (QUOTE -317) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1116))) (|HasCategory| |#2| (LIST (QUOTE -1054) (QUOTE (-574))))) (|HasCategory| |#2| (LIST (QUOTE -623) (QUOTE (-872))))) (|HasCategory| |#2| (QUOTE (-372))) (-2833 (|HasCategory| |#2| (QUOTE 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(|sayLength| (((|Integer|) (|List| (|String|))) "\\spad{sayLength(l)} returns the length of a list of strings \\spad{l} as an integer.") (((|Integer|) (|String|)) "\\spad{sayLength(s)} returns the length of a string \\spad{s} as an integer.")) (|say| (((|Void|) (|List| (|String|))) "\\spad{say(l)} sends a list of strings \\spad{l} to output.") (((|Void|) (|String|)) "\\spad{say(s)} sends a string \\spad{s} to output.")) (|center| (((|List| (|String|)) (|List| (|String|)) (|Integer|) (|String|)) "\\spad{center(l,i,s)} takes a list of strings \\spad{l},{} and centers them within a list of strings which is \\spad{i} characters long,{} in which the remaining spaces are filled with strings composed of as many repetitions as possible of the last string parameter \\spad{s}.") 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(QUOTE (-1116))) (|HasCategory| |#3| (LIST (QUOTE -1054) (QUOTE (-574)))))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1054) (LIST (QUOTE -417) (QUOTE (-574))))) (|HasCategory| |#3| (QUOTE (-1116)))) (-2833 (|HasAttribute| |#3| (QUOTE -4456)) (-12 (|HasCategory| |#3| (QUOTE (-239))) (|HasCategory| |#3| (QUOTE (-1065)))) (-12 (|HasCategory| |#3| (QUOTE (-1065))) (|HasCategory| |#3| (LIST (QUOTE -912) (QUOTE (-1193)))))) (|HasCategory| |#3| (QUOTE (-860))) (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (LIST (QUOTE -623) (QUOTE (-872)))) (-12 (|HasCategory| |#3| (QUOTE (-1116))) (|HasCategory| |#3| (LIST (QUOTE -317) (|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."))) NIL @@ -1116,7 +1116,7 @@ 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 -(-297 S R |Mod| -3607 -3404 |exactQuo|) +(-297 S R |Mod| -3992 -2470 |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"))) ((-4452 . T) ((-4461 "*") . T) (-4453 . T) (-4454 . T) (-4456 . T)) NIL @@ -1239,7 +1239,7 @@ NIL (-327 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."))) (((-4461 "*") |has| |#1| (-174)) (-4452 |has| |#1| (-566)) (-4457 |has| |#1| (-372)) (-4451 |has| |#1| (-372)) (-4453 . T) (-4454 . T) (-4456 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574))))) (|HasCategory| |#1| (QUOTE (-566))) (|HasCategory| |#1| (QUOTE (-174))) (-2833 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-566)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -912) (QUOTE (-1193)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -417) (QUOTE (-574))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -417) (QUOTE (-574))) (|devaluate| |#1|)))) (|HasCategory| (-417 (-574)) (QUOTE (-1128))) (|HasCategory| |#1| (QUOTE (-372))) (-2833 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-372))) (|HasCategory| |#1| (QUOTE (-566)))) (-2833 (|HasCategory| |#1| (QUOTE (-372))) (|HasCategory| |#1| (QUOTE (-566)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -417) (QUOTE (-574)))))) (|HasSignature| |#1| (LIST (QUOTE -2951) (LIST (|devaluate| |#1|) (QUOTE (-1193)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -417) (QUOTE (-574)))))) (-2833 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-574)))) (|HasCategory| |#1| (QUOTE (-973))) (|HasCategory| |#1| (QUOTE (-1219))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574))))) (|HasSignature| |#1| (LIST (QUOTE -3342) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1193))))) (|HasSignature| |#1| (LIST (QUOTE -4350) (LIST (LIST (QUOTE -654) (QUOTE (-1193))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574))))) (|HasCategory| |#1| (QUOTE (-566))) (|HasCategory| |#1| (QUOTE (-174))) (-2833 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-566)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -912) (QUOTE (-1193)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -417) (QUOTE (-574))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -417) (QUOTE (-574))) (|devaluate| |#1|)))) (|HasCategory| (-417 (-574)) (QUOTE (-1128))) (|HasCategory| |#1| (QUOTE (-372))) (-2833 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-372))) (|HasCategory| |#1| (QUOTE (-566)))) (-2833 (|HasCategory| |#1| (QUOTE (-372))) (|HasCategory| |#1| (QUOTE (-566)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -417) (QUOTE (-574)))))) (|HasSignature| |#1| (LIST (QUOTE -2951) (LIST (|devaluate| |#1|) (QUOTE (-1193)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -417) (QUOTE (-574)))))) (-2833 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-574)))) (|HasCategory| |#1| (QUOTE (-973))) (|HasCategory| |#1| (QUOTE (-1219))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574))))) (|HasSignature| |#1| (LIST (QUOTE -3083) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1193))))) (|HasSignature| |#1| (LIST (QUOTE -4350) (LIST (LIST (QUOTE -654) (QUOTE (-1193))) (|devaluate| |#1|))))))) (-328 M) ((|constructor| (NIL "computes various functions on factored arguments.")) (|log| (((|List| (|Record| (|:| |coef| (|NonNegativeInteger|)) (|:| |logand| |#1|))) (|Factored| |#1|)) "\\spad{log(f)} returns \\spad{[(a1,b1),...,(am,bm)]} such that the logarithm of \\spad{f} is equal to \\spad{a1*log(b1) + ... + am*log(bm)}.")) (|nthRoot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#1|) (|:| |radicand| (|List| |#1|))) (|Factored| |#1|) (|NonNegativeInteger|)) "\\spad{nthRoot(f, n)} returns \\spad{(p, r, [r1,...,rm])} such that the \\spad{n}th-root of \\spad{f} is equal to \\spad{r * \\spad{p}th-root(r1 * ... * rm)},{} where \\spad{r1},{}...,{}\\spad{rm} are distinct factors of \\spad{f},{} each of which has an exponent smaller than \\spad{p} in \\spad{f}."))) NIL @@ -1867,7 +1867,7 @@ NIL (-484 |Coef| |var| |cen|) ((|constructor| (NIL "This is a category of univariate Puiseux series constructed from univariate Laurent series. A Puiseux series is represented by a pair \\spad{[r,f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x\\^r)}.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|UnivariatePuiseuxSeries| |#1| |#2| |#3|)) "\\spad{coerce(f)} converts a Puiseux series to a general power series.") (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Puiseux series."))) (((-4461 "*") |has| |#1| (-174)) (-4452 |has| |#1| (-566)) (-4457 |has| |#1| (-372)) (-4451 |has| |#1| (-372)) (-4453 . T) (-4454 . T) (-4456 . 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(|HasAttribute| |#2| (QUOTE -4456)) (|HasCategory| |#2| (QUOTE (-860))) (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -623) (QUOTE (-872)))) (-12 (|HasCategory| |#2| (QUOTE (-1116))) (|HasCategory| |#2| (LIST (QUOTE -317) (|devaluate| |#2|))))) (-493) ((|constructor| (NIL "This domain represents the header of a definition.")) (|parameters| (((|List| (|ParameterAst|)) $) "\\spad{parameters(h)} gives the parameters specified in the definition header \\spad{`h'}.")) (|name| (((|Identifier|) $) "\\spad{name(h)} returns the name of the operation defined defined.")) (|headAst| (($ (|Identifier|) (|List| (|ParameterAst|))) "\\spad{headAst(f,[x1,..,xn])} constructs a function definition header."))) NIL @@ -2600,7 +2600,7 @@ NIL ((|constructor| (NIL "\\spadtype{LinearOrdinaryDifferentialOperatorFactorizer} provides a factorizer for linear ordinary differential operators whose coefficients are rational functions.")) (|factor1| (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{factor1(a)} returns the factorisation of a,{} assuming that a has no first-order right factor.")) (|factor| (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{factor(a)} returns the factorisation of a.") (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{factor(a, zeros)} returns the factorisation of a. \\spad{zeros} is a zero finder in \\spad{UP}."))) NIL ((|HasCategory| |#1| (QUOTE (-27)))) -(-668 A -2815) +(-668 A -1671) ((|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}}"))) ((-4453 . T) (-4454 . T) (-4456 . T)) ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -1054) (LIST (QUOTE -417) (QUOTE (-574))))) (|HasCategory| |#1| (LIST (QUOTE -1054) (QUOTE (-574)))) (|HasCategory| |#1| (QUOTE (-566))) (|HasCategory| |#1| (QUOTE (-462))) (|HasCategory| |#1| (QUOTE (-372)))) @@ -2792,7 +2792,7 @@ NIL ((|constructor| (NIL "MakeRecord is used internally by the interpreter to create record types which are used for doing parallel iterations on streams.")) (|makeRecord| (((|Record| (|:| |part1| |#1|) (|:| |part2| |#2|)) |#1| |#2|) "\\spad{makeRecord(a,b)} creates a record object with type Record(part1:S,{} part2:R),{} where part1 is \\spad{a} and part2 is \\spad{b}."))) NIL NIL -(-716 S -3584 I) +(-716 S -3585 I) ((|constructor| (NIL "transforms top-level objects into compiled functions.")) (|compiledFunction| (((|Mapping| |#3| |#2|) |#1| (|Symbol|)) "\\spad{compiledFunction(expr, x)} returns a function \\spad{f: D -> I} defined by \\spad{f(x) == expr}. Function \\spad{f} is compiled and directly applicable to objects of type \\spad{D}.")) (|unaryFunction| (((|Mapping| |#3| |#2|) (|Symbol|)) "\\spad{unaryFunction(a)} is a local function"))) NIL NIL @@ -2812,7 +2812,7 @@ 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 -(-721 R |Mod| -3607 -3404 |exactQuo|) +(-721 R |Mod| -3992 -2470 |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| $) "\\spad{modulus(x)} \\undocumented"))) ((-4451 . T) (-4457 . T) (-4452 . T) ((-4461 "*") . T) (-4453 . T) (-4454 . T) (-4456 . T)) NIL @@ -2828,7 +2828,7 @@ NIL ((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#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| (($ $ $) "\\spad{adjoint(op1, op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) ((-4454 |has| |#1| (-174)) (-4453 |has| |#1| (-174)) (-4456 . T)) ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148)))) -(-725 R |Mod| -3607 -3404 |exactQuo|) +(-725 R |Mod| -3992 -2470 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\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"))) ((-4456 . T)) NIL @@ -3230,8 +3230,8 @@ NIL NIL (-825 -4106 S |f|) ((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying ordered component type. The ordering on the type is determined by its third argument which represents the less than function on vectors. This type is a suitable third argument for \\spadtype{GeneralDistributedMultivariatePolynomial}."))) -((-4453 |has| |#2| (-1065)) (-4454 |has| |#2| (-1065)) (-4456 |has| |#2| (-6 -4456)) ((-4461 "*") |has| |#2| (-174)) (-4459 . 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The ranking on the differential indeterminate is orderly. This is analogous to the domain \\spadtype{Polynomial}. \\blankline"))) (((-4461 "*") |has| |#1| (-174)) (-4452 |has| |#1| (-566)) (-4457 |has| |#1| (-6 -4457)) (-4454 . T) (-4453 . T) (-4456 . T)) @@ -3532,7 +3532,7 @@ NIL ((|constructor| (NIL "A PatternMatchResult is an object internally returned by the pattern matcher; It is either a failed match,{} or a list of matches of the form (var,{} expr) meaning that the variable var matches the expression expr.")) (|satisfy?| (((|Union| (|Boolean|) "failed") $ (|Pattern| |#1|)) "\\spad{satisfy?(r, p)} returns \\spad{true} if the matches satisfy the top-level predicate of \\spad{p},{} \\spad{false} if they don\\spad{'t},{} and \"failed\" if not enough variables of \\spad{p} are matched in \\spad{r} to decide.")) (|construct| (($ (|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|)))) "\\spad{construct([v1,e1],...,[vn,en])} returns the match result containing the matches (\\spad{v1},{}e1),{}...,{}(\\spad{vn},{}en).")) (|destruct| (((|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|))) $) "\\spad{destruct(r)} returns the list of matches (var,{} expr) in \\spad{r}. Error: if \\spad{r} is a failed match.")) (|addMatchRestricted| (($ (|Pattern| |#1|) |#2| $ |#2|) "\\spad{addMatchRestricted(var, expr, r, val)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} that \\spad{var} is not matched to another expression already,{} and that either \\spad{var} is an optional pattern variable or that \\spad{expr} is not equal to val (usually an identity).")) (|insertMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{insertMatch(var, expr, r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} without checking predicates or previous matches for \\spad{var}.")) (|addMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{addMatch(var, expr, r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} and that \\spad{var} is not matched to another expression already.")) (|getMatch| (((|Union| |#2| "failed") (|Pattern| |#1|) $) "\\spad{getMatch(var, r)} returns the expression that \\spad{var} matches in the result \\spad{r},{} and \"failed\" if \\spad{var} is not matched in \\spad{r}.")) (|union| (($ $ $) "\\spad{union(a, b)} makes the set-union of two match results.")) (|new| (($) "\\spad{new()} returns a new empty match result.")) (|failed| (($) "\\spad{failed()} returns a failed match.")) (|failed?| (((|Boolean|) $) "\\spad{failed?(r)} tests if \\spad{r} is a failed match."))) NIL NIL -(-901 R -3584) +(-901 R -3585) ((|constructor| (NIL "Tools for patterns.")) (|badValues| (((|List| |#2|) (|Pattern| |#1|)) "\\spad{badValues(p)} returns the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|addBadValue| (((|Pattern| |#1|) (|Pattern| |#1|) |#2|) "\\spad{addBadValue(p, v)} adds \\spad{v} to the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|satisfy?| (((|Boolean|) (|List| |#2|) (|Pattern| |#1|)) "\\spad{satisfy?([v1,...,vn], p)} returns \\spad{f(v1,...,vn)} where \\spad{f} is the top-level predicate attached to \\spad{p}.") (((|Boolean|) |#2| (|Pattern| |#1|)) "\\spad{satisfy?(v, p)} returns \\spad{f}(\\spad{v}) where \\spad{f} is the predicate attached to \\spad{p}.")) (|predicate| (((|Mapping| (|Boolean|) |#2|) (|Pattern| |#1|)) "\\spad{predicate(p)} returns the predicate attached to \\spad{p},{} the constant function \\spad{true} if \\spad{p} has no predicates attached to it.")) (|suchThat| (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Symbol|)) (|Mapping| (|Boolean|) (|List| |#2|))) "\\spad{suchThat(p, [a1,...,an], f)} returns a copy of \\spad{p} with the top-level predicate set to \\spad{f(a1,...,an)}.") (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Mapping| (|Boolean|) |#2|))) "\\spad{suchThat(p, [f1,...,fn])} makes a copy of \\spad{p} and adds the predicate \\spad{f1} and ... and \\spad{fn} to the copy,{} which is returned.") (((|Pattern| |#1|) (|Pattern| |#1|) (|Mapping| (|Boolean|) |#2|)) "\\spad{suchThat(p, f)} makes a copy of \\spad{p} and adds the predicate \\spad{f} to the copy,{} which is returned."))) NIL NIL @@ -3732,11 +3732,11 @@ NIL ((|constructor| (NIL "This package provides pattern matching functions on polynomials.")) (|patternMatch| (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|)) "\\spad{patternMatch(p, pat, res)} matches the pattern \\spad{pat} to the polynomial \\spad{p}; res contains the variables of \\spad{pat} which are already matched and their matches.") (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|) (|Mapping| (|PatternMatchResult| |#1| |#5|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|))) "\\spad{patternMatch(p, pat, res, vmatch)} matches the pattern \\spad{pat} to the polynomial \\spad{p}. \\spad{res} contains the variables of \\spad{pat} which are already matched and their matches; vmatch is the matching function to use on the variables."))) NIL ((|HasCategory| |#3| (LIST (QUOTE -897) (|devaluate| |#1|)))) -(-951 R -1396 -3584) +(-951 R -1396 -3585) ((|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 -(-952 -3584) +(-952 -3585) ((|constructor| (NIL "Attaching predicates to symbols for pattern matching. Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|suchThat| (((|Expression| (|Integer|)) (|Symbol|) (|List| (|Mapping| (|Boolean|) |#1|))) "\\spad{suchThat(x, [f1, f2, ..., fn])} attaches the predicate \\spad{f1} and \\spad{f2} and ... and \\spad{fn} to \\spad{x}.") (((|Expression| (|Integer|)) (|Symbol|) (|Mapping| (|Boolean|) |#1|)) "\\spad{suchThat(x, foo)} attaches the predicate foo to \\spad{x}."))) NIL NIL @@ -4446,8 +4446,8 @@ NIL NIL (-1129 |dimtot| |dim1| S) ((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying ordered component type. The vectors are ordered as if they were split into two blocks. The dim1 parameter specifies the length of the first block. The ordering is lexicographic between the blocks but acts like \\spadtype{HomogeneousDirectProduct} within each block. This type is a suitable third argument for \\spadtype{GeneralDistributedMultivariatePolynomial}."))) -((-4453 |has| |#3| (-1065)) (-4454 |has| |#3| (-1065)) (-4456 |has| |#3| (-6 -4456)) ((-4461 "*") |has| |#3| (-174)) (-4459 . 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number of real roots of \\spad{p1} with p2<0. If p2=1 what you get is the number of real roots of \\spad{p1}.")) (|countRealRoots| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{countRealRoots(p)} says how many real roots \\spad{p} has")) (|SturmHabicht| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabicht(p1,p2)} computes \\spad{c_}{+}\\spad{-c_}{-} where \\spad{c_}{+} is the number of real roots of \\spad{p1} with p2>0 and \\spad{c_}{-} is the number of real roots of \\spad{p1} with p2<0. If p2=1 what you get is the number of real roots of \\spad{p1}.")) (|SturmHabichtCoefficients| (((|List| |#1|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtCoefficients(p1,p2)} computes the principal Sturm-Habicht coefficients of \\spad{p1} and \\spad{p2}")) (|SturmHabichtSequence| (((|List| (|UnivariatePolynomial| |#2| |#1|)) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtSequence(p1,p2)} computes the Sturm-Habicht sequence of \\spad{p1} and \\spad{p2}")) (|subresultantSequence| (((|List| (|UnivariatePolynomial| |#2| |#1|)) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{subresultantSequence(p1,p2)} computes the (standard) subresultant sequence of \\spad{p1} and \\spad{p2}"))) NIL @@ -4667,7 +4667,7 @@ NIL (-1184 |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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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 @@ -5003,11 +5003,11 @@ NIL (-1268 |Coef| ULS) ((|constructor| (NIL "This package enables one to construct a univariate Puiseux series domain from a univariate Laurent series domain. 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We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}."))) (((-4461 "*") |has| |#1| (-174)) (-4452 |has| |#1| (-566)) (-4457 |has| |#1| (-372)) (-4451 |has| |#1| (-372)) (-4453 . T) (-4454 . T) (-4456 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574))))) (|HasCategory| |#1| (QUOTE (-566))) (|HasCategory| |#1| (QUOTE (-174))) (-2833 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-566)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -912) (QUOTE (-1193)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -417) (QUOTE (-574))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -417) (QUOTE (-574))) (|devaluate| |#1|)))) (|HasCategory| (-417 (-574)) (QUOTE (-1128))) (|HasCategory| |#1| (QUOTE (-372))) (-2833 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-372))) (|HasCategory| |#1| (QUOTE (-566)))) (-2833 (|HasCategory| |#1| (QUOTE (-372))) (|HasCategory| |#1| (QUOTE (-566)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -417) (QUOTE (-574)))))) (|HasSignature| |#1| (LIST (QUOTE -2951) (LIST (|devaluate| |#1|) (QUOTE (-1193)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -417) (QUOTE (-574)))))) (-2833 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-574)))) (|HasCategory| |#1| (QUOTE (-973))) (|HasCategory| |#1| (QUOTE (-1219))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574))))) (|HasSignature| |#1| (LIST (QUOTE -3342) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1193))))) (|HasSignature| |#1| (LIST (QUOTE -4350) (LIST (LIST (QUOTE -654) (QUOTE (-1193))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574))))) (|HasCategory| |#1| (QUOTE (-566))) (|HasCategory| |#1| (QUOTE (-174))) (-2833 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-566)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -912) (QUOTE (-1193)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -417) (QUOTE (-574))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -417) (QUOTE (-574))) (|devaluate| |#1|)))) (|HasCategory| (-417 (-574)) (QUOTE (-1128))) (|HasCategory| |#1| (QUOTE (-372))) (-2833 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-372))) (|HasCategory| |#1| (QUOTE (-566)))) (-2833 (|HasCategory| |#1| (QUOTE (-372))) (|HasCategory| |#1| (QUOTE (-566)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -417) (QUOTE (-574)))))) (|HasSignature| |#1| (LIST (QUOTE -2951) (LIST (|devaluate| |#1|) (QUOTE (-1193)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -417) (QUOTE (-574)))))) (-2833 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-574)))) (|HasCategory| |#1| (QUOTE (-973))) (|HasCategory| |#1| (QUOTE (-1219))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574))))) (|HasSignature| |#1| (LIST (QUOTE -3083) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1193))))) (|HasSignature| |#1| (LIST (QUOTE -4350) (LIST (LIST (QUOTE -654) (QUOTE (-1193))) (|devaluate| |#1|))))))) (-1270 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") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> cen+,f(var))}."))) (((-4461 "*") |has| (-1269 |#2| |#3| |#4|) (-174)) (-4452 |has| (-1269 |#2| |#3| |#4|) (-566)) (-4453 . T) (-4454 . T) (-4456 . T)) @@ -5027,7 +5027,7 @@ NIL (-1274 S |Coef|) ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|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 (-574)))) (|HasCategory| |#2| (QUOTE (-973))) (|HasCategory| |#2| (QUOTE (-1219))) (|HasSignature| |#2| (LIST (QUOTE -4350) (LIST (LIST (QUOTE -654) (QUOTE (-1193))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -3342) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1193))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574))))) (|HasCategory| |#2| (QUOTE (-372)))) +((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-574)))) (|HasCategory| |#2| (QUOTE (-973))) (|HasCategory| |#2| (QUOTE (-1219))) (|HasSignature| |#2| (LIST (QUOTE -4350) (LIST (LIST (QUOTE -654) (QUOTE (-1193))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -3083) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1193))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574))))) (|HasCategory| |#2| (QUOTE (-372)))) (-1275 |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."))) (((-4461 "*") |has| |#1| (-174)) (-4452 |has| |#1| (-566)) (-4453 . T) (-4454 . T) (-4456 . T)) @@ -5035,7 +5035,7 @@ NIL (-1276 |Coef| |var| |cen|) ((|constructor| (NIL "Dense Taylor series in one variable \\spadtype{UnivariateTaylorSeries} is a domain representing Taylor series in one variable with coefficients in an arbitrary ring. The parameters of the type specify the coefficient ring,{} the power series variable,{} and the center of the power series expansion. For example,{} \\spadtype{UnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|invmultisect| (($ (|Integer|) (|Integer|) $) "\\spad{invmultisect(a,b,f(x))} substitutes \\spad{x^((a+b)*n)} \\indented{1}{for \\spad{x^n} and multiples by \\spad{x^b}.}")) (|multisect| (($ (|Integer|) (|Integer|) $) "\\spad{multisect(a,b,f(x))} selects the coefficients of \\indented{1}{\\spad{x^((a+b)*n+a)},{} and changes this monomial to \\spad{x^n}.}")) (|revert| (($ $) "\\spad{revert(f(x))} returns a Taylor series \\spad{g(x)} such that \\spad{f(g(x)) = g(f(x)) = x}. Series \\spad{f(x)} should have constant coefficient 0 and invertible 1st order coefficient.")) (|generalLambert| (($ $ (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),a,d)} returns \\spad{f(x^a) + f(x^(a + d)) + \\indented{1}{f(x^(a + 2 d)) + ... }. \\spad{f(x)} should have zero constant} \\indented{1}{coefficient and \\spad{a} and \\spad{d} should be positive.}")) (|evenlambert| (($ $) "\\spad{evenlambert(f(x))} returns \\spad{f(x^2) + f(x^4) + f(x^6) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,f(x^(2*n))) = exp(log(evenlambert(f(x))))}.}")) (|oddlambert| (($ $) "\\spad{oddlambert(f(x))} returns \\spad{f(x) + f(x^3) + f(x^5) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,f(x^(2*n-1)))=exp(log(oddlambert(f(x))))}.}")) (|lambert| (($ $) "\\spad{lambert(f(x))} returns \\spad{f(x) + f(x^2) + f(x^3) + ...}. \\indented{1}{This function is used for computing infinite products.} \\indented{1}{\\spad{f(x)} should have zero constant coefficient.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n = 1..infinity,f(x^n)) = exp(log(lambert(f(x))))}.}")) (|lagrange| (($ $) "\\spad{lagrange(g(x))} produces the Taylor series for \\spad{f(x)} \\indented{1}{where \\spad{f(x)} is implicitly defined as \\spad{f(x) = x*g(f(x))}.}")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),x)} computes the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) (((-4461 "*") |has| |#1| (-174)) (-4452 |has| |#1| (-566)) (-4453 . T) (-4454 . T) (-4456 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574))))) (|HasCategory| |#1| (QUOTE (-566))) (-2833 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-566)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -912) (QUOTE (-1193)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-781)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-781)) (|devaluate| |#1|)))) (|HasCategory| (-781) (QUOTE (-1128))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-781))))) (|HasSignature| |#1| (LIST (QUOTE -2951) (LIST (|devaluate| |#1|) (QUOTE (-1193)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-781))))) (|HasCategory| |#1| (QUOTE (-372))) (-2833 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-574)))) (|HasCategory| |#1| (QUOTE (-973))) (|HasCategory| |#1| (QUOTE (-1219))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574))))) (|HasSignature| |#1| (LIST (QUOTE -3342) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1193))))) (|HasSignature| |#1| (LIST (QUOTE -4350) (LIST (LIST (QUOTE -654) (QUOTE (-1193))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574))))) (|HasCategory| |#1| (QUOTE (-566))) (-2833 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-566)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -912) (QUOTE (-1193)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-781)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-781)) (|devaluate| |#1|)))) (|HasCategory| (-781) (QUOTE (-1128))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-781))))) (|HasSignature| |#1| (LIST (QUOTE -2951) (LIST (|devaluate| |#1|) (QUOTE (-1193)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-781))))) (|HasCategory| |#1| (QUOTE (-372))) (-2833 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-574)))) (|HasCategory| |#1| (QUOTE (-973))) (|HasCategory| |#1| (QUOTE (-1219))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -417) (QUOTE (-574))))) (|HasSignature| |#1| (LIST (QUOTE -3083) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1193))))) (|HasSignature| |#1| (LIST (QUOTE -4350) (LIST (LIST (QUOTE -654) (QUOTE (-1193))) (|devaluate| |#1|))))))) (-1277 |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 @@ -5200,4 +5200,4 @@ NIL NIL NIL NIL -((-3 NIL 2266720 2266725 2266730 2266735) (-2 NIL 2266700 2266705 2266710 2266715) (-1 NIL 2266680 2266685 2266690 2266695) (0 NIL 2266660 2266665 2266670 2266675) (-1313 "ZMOD.spad" 2266469 2266482 2266598 2266655) (-1312 "ZLINDEP.spad" 2265535 2265546 2266459 2266464) (-1311 "ZDSOLVE.spad" 2255480 2255502 2265525 2265530) (-1310 "YSTREAM.spad" 2254975 2254986 2255470 2255475) (-1309 "YDIAGRAM.spad" 2254609 2254618 2254965 2254970) (-1308 "XRPOLY.spad" 2253829 2253849 2254465 2254534) (-1307 "XPR.spad" 2251624 2251637 2253547 2253646) (-1306 "XPOLY.spad" 2251179 2251190 2251480 2251549) (-1305 "XPOLYC.spad" 2250498 2250514 2251105 2251174) (-1304 "XPBWPOLY.spad" 2248935 2248955 2250278 2250347) (-1303 "XF.spad" 2247398 2247413 2248837 2248930) (-1302 "XF.spad" 2245841 2245858 2247282 2247287) (-1301 "XFALG.spad" 2242889 2242905 2245767 2245836) (-1300 "XEXPPKG.spad" 2242140 2242166 2242879 2242884) (-1299 "XDPOLY.spad" 2241754 2241770 2241996 2242065) (-1298 "XALG.spad" 2241414 2241425 2241710 2241749) (-1297 "WUTSET.spad" 2237253 2237270 2241060 2241087) (-1296 "WP.spad" 2236452 2236496 2237111 2237178) (-1295 "WHILEAST.spad" 2236250 2236259 2236442 2236447) (-1294 "WHEREAST.spad" 2235921 2235930 2236240 2236245) (-1293 "WFFINTBS.spad" 2233584 2233606 2235911 2235916) (-1292 "WEIER.spad" 2231806 2231817 2233574 2233579) (-1291 "VSPACE.spad" 2231479 2231490 2231774 2231801) (-1290 "VSPACE.spad" 2231172 2231185 2231469 2231474) (-1289 "VOID.spad" 2230849 2230858 2231162 2231167) (-1288 "VIEW.spad" 2228529 2228538 2230839 2230844) (-1287 "VIEWDEF.spad" 2223730 2223739 2228519 2228524) (-1286 "VIEW3D.spad" 2207691 2207700 2223720 2223725) (-1285 "VIEW2D.spad" 2195582 2195591 2207681 2207686) (-1284 "VECTOR.spad" 2194256 2194267 2194507 2194534) (-1283 "VECTOR2.spad" 2192895 2192908 2194246 2194251) (-1282 "VECTCAT.spad" 2190799 2190810 2192863 2192890) (-1281 "VECTCAT.spad" 2188510 2188523 2190576 2190581) (-1280 "VARIABLE.spad" 2188290 2188305 2188500 2188505) (-1279 "UTYPE.spad" 2187934 2187943 2188280 2188285) (-1278 "UTSODETL.spad" 2187229 2187253 2187890 2187895) (-1277 "UTSODE.spad" 2185445 2185465 2187219 2187224) (-1276 "UTS.spad" 2180249 2180277 2183912 2184009) (-1275 "UTSCAT.spad" 2177728 2177744 2180147 2180244) (-1274 "UTSCAT.spad" 2174851 2174869 2177272 2177277) (-1273 "UTS2.spad" 2174446 2174481 2174841 2174846) (-1272 "URAGG.spad" 2169119 2169130 2174436 2174441) (-1271 "URAGG.spad" 2163756 2163769 2169075 2169080) (-1270 "UPXSSING.spad" 2161401 2161427 2162837 2162970) (-1269 "UPXS.spad" 2158555 2158583 2159533 2159682) (-1268 "UPXSCONS.spad" 2156314 2156334 2156687 2156836) (-1267 "UPXSCCA.spad" 2154885 2154905 2156160 2156309) (-1266 "UPXSCCA.spad" 2153598 2153620 2154875 2154880) (-1265 "UPXSCAT.spad" 2152187 2152203 2153444 2153593) (-1264 "UPXS2.spad" 2151730 2151783 2152177 2152182) (-1263 "UPSQFREE.spad" 2150144 2150158 2151720 2151725) (-1262 "UPSCAT.spad" 2147931 2147955 2150042 2150139) (-1261 "UPSCAT.spad" 2145424 2145450 2147537 2147542) (-1260 "UPOLYC.spad" 2140464 2140475 2145266 2145419) (-1259 "UPOLYC.spad" 2135396 2135409 2140200 2140205) (-1258 "UPOLYC2.spad" 2134867 2134886 2135386 2135391) (-1257 "UP.spad" 2132066 2132081 2132453 2132606) (-1256 "UPMP.spad" 2130966 2130979 2132056 2132061) (-1255 "UPDIVP.spad" 2130531 2130545 2130956 2130961) (-1254 "UPDECOMP.spad" 2128776 2128790 2130521 2130526) (-1253 "UPCDEN.spad" 2127985 2128001 2128766 2128771) (-1252 "UP2.spad" 2127349 2127370 2127975 2127980) (-1251 "UNISEG.spad" 2126702 2126713 2127268 2127273) (-1250 "UNISEG2.spad" 2126199 2126212 2126658 2126663) (-1249 "UNIFACT.spad" 2125302 2125314 2126189 2126194) (-1248 "ULS.spad" 2115860 2115888 2116947 2117376) (-1247 "ULSCONS.spad" 2108256 2108276 2108626 2108775) (-1246 "ULSCCAT.spad" 2105993 2106013 2108102 2108251) (-1245 "ULSCCAT.spad" 2103838 2103860 2105949 2105954) (-1244 "ULSCAT.spad" 2102070 2102086 2103684 2103833) (-1243 "ULS2.spad" 2101584 2101637 2102060 2102065) (-1242 "UINT8.spad" 2101461 2101470 2101574 2101579) (-1241 "UINT64.spad" 2101337 2101346 2101451 2101456) (-1240 "UINT32.spad" 2101213 2101222 2101327 2101332) (-1239 "UINT16.spad" 2101089 2101098 2101203 2101208) (-1238 "UFD.spad" 2100154 2100163 2101015 2101084) (-1237 "UFD.spad" 2099281 2099292 2100144 2100149) (-1236 "UDVO.spad" 2098162 2098171 2099271 2099276) (-1235 "UDPO.spad" 2095655 2095666 2098118 2098123) (-1234 "TYPE.spad" 2095587 2095596 2095645 2095650) (-1233 "TYPEAST.spad" 2095506 2095515 2095577 2095582) (-1232 "TWOFACT.spad" 2094158 2094173 2095496 2095501) (-1231 "TUPLE.spad" 2093644 2093655 2094057 2094062) (-1230 "TUBETOOL.spad" 2090511 2090520 2093634 2093639) (-1229 "TUBE.spad" 2089158 2089175 2090501 2090506) (-1228 "TS.spad" 2087757 2087773 2088723 2088820) (-1227 "TSETCAT.spad" 2074884 2074901 2087725 2087752) (-1226 "TSETCAT.spad" 2061997 2062016 2074840 2074845) (-1225 "TRMANIP.spad" 2056363 2056380 2061703 2061708) (-1224 "TRIMAT.spad" 2055326 2055351 2056353 2056358) (-1223 "TRIGMNIP.spad" 2053853 2053870 2055316 2055321) (-1222 "TRIGCAT.spad" 2053365 2053374 2053843 2053848) (-1221 "TRIGCAT.spad" 2052875 2052886 2053355 2053360) (-1220 "TREE.spad" 2051450 2051461 2052482 2052509) (-1219 "TRANFUN.spad" 2051289 2051298 2051440 2051445) (-1218 "TRANFUN.spad" 2051126 2051137 2051279 2051284) (-1217 "TOPSP.spad" 2050800 2050809 2051116 2051121) (-1216 "TOOLSIGN.spad" 2050463 2050474 2050790 2050795) (-1215 "TEXTFILE.spad" 2049024 2049033 2050453 2050458) (-1214 "TEX.spad" 2046170 2046179 2049014 2049019) (-1213 "TEX1.spad" 2045726 2045737 2046160 2046165) (-1212 "TEMUTL.spad" 2045281 2045290 2045716 2045721) (-1211 "TBCMPPK.spad" 2043374 2043397 2045271 2045276) (-1210 "TBAGG.spad" 2042424 2042447 2043354 2043369) (-1209 "TBAGG.spad" 2041482 2041507 2042414 2042419) (-1208 "TANEXP.spad" 2040890 2040901 2041472 2041477) (-1207 "TALGOP.spad" 2040614 2040625 2040880 2040885) (-1206 "TABLE.spad" 2039025 2039048 2039295 2039322) (-1205 "TABLEAU.spad" 2038506 2038517 2039015 2039020) (-1204 "TABLBUMP.spad" 2035309 2035320 2038496 2038501) (-1203 "SYSTEM.spad" 2034537 2034546 2035299 2035304) (-1202 "SYSSOLP.spad" 2032020 2032031 2034527 2034532) (-1201 "SYSPTR.spad" 2031919 2031928 2032010 2032015) (-1200 "SYSNNI.spad" 2031101 2031112 2031909 2031914) (-1199 "SYSINT.spad" 2030505 2030516 2031091 2031096) (-1198 "SYNTAX.spad" 2026711 2026720 2030495 2030500) (-1197 "SYMTAB.spad" 2024779 2024788 2026701 2026706) (-1196 "SYMS.spad" 2020802 2020811 2024769 2024774) (-1195 "SYMPOLY.spad" 2019809 2019820 2019891 2020018) (-1194 "SYMFUNC.spad" 2019310 2019321 2019799 2019804) (-1193 "SYMBOL.spad" 2016813 2016822 2019300 2019305) (-1192 "SWITCH.spad" 2013584 2013593 2016803 2016808) (-1191 "SUTS.spad" 2010489 2010517 2012051 2012148) (-1190 "SUPXS.spad" 2007630 2007658 2008621 2008770) (-1189 "SUP.spad" 2004443 2004454 2005216 2005369) (-1188 "SUPFRACF.spad" 2003548 2003566 2004433 2004438) (-1187 "SUP2.spad" 2002940 2002953 2003538 2003543) (-1186 "SUMRF.spad" 2001914 2001925 2002930 2002935) (-1185 "SUMFS.spad" 2001551 2001568 2001904 2001909) (-1184 "SULS.spad" 1992096 1992124 1993196 1993625) (-1183 "SUCHTAST.spad" 1991865 1991874 1992086 1992091) (-1182 "SUCH.spad" 1991547 1991562 1991855 1991860) (-1181 "SUBSPACE.spad" 1983662 1983677 1991537 1991542) (-1180 "SUBRESP.spad" 1982832 1982846 1983618 1983623) (-1179 "STTF.spad" 1978931 1978947 1982822 1982827) (-1178 "STTFNC.spad" 1975399 1975415 1978921 1978926) (-1177 "STTAYLOR.spad" 1968034 1968045 1975280 1975285) (-1176 "STRTBL.spad" 1966539 1966556 1966688 1966715) (-1175 "STRING.spad" 1965948 1965957 1965962 1965989) (-1174 "STRICAT.spad" 1965736 1965745 1965916 1965943) (-1173 "STREAM.spad" 1962654 1962665 1965261 1965276) (-1172 "STREAM3.spad" 1962227 1962242 1962644 1962649) (-1171 "STREAM2.spad" 1961355 1961368 1962217 1962222) (-1170 "STREAM1.spad" 1961061 1961072 1961345 1961350) (-1169 "STINPROD.spad" 1959997 1960013 1961051 1961056) (-1168 "STEP.spad" 1959198 1959207 1959987 1959992) (-1167 "STEPAST.spad" 1958432 1958441 1959188 1959193) (-1166 "STBL.spad" 1956958 1956986 1957125 1957140) (-1165 "STAGG.spad" 1956033 1956044 1956948 1956953) (-1164 "STAGG.spad" 1955106 1955119 1956023 1956028) (-1163 "STACK.spad" 1954463 1954474 1954713 1954740) (-1162 "SREGSET.spad" 1952167 1952184 1954109 1954136) (-1161 "SRDCMPK.spad" 1950728 1950748 1952157 1952162) (-1160 "SRAGG.spad" 1945871 1945880 1950696 1950723) (-1159 "SRAGG.spad" 1941034 1941045 1945861 1945866) (-1158 "SQMATRIX.spad" 1938706 1938724 1939622 1939709) (-1157 "SPLTREE.spad" 1933258 1933271 1938142 1938169) (-1156 "SPLNODE.spad" 1929846 1929859 1933248 1933253) (-1155 "SPFCAT.spad" 1928655 1928664 1929836 1929841) (-1154 "SPECOUT.spad" 1927207 1927216 1928645 1928650) (-1153 "SPADXPT.spad" 1918802 1918811 1927197 1927202) (-1152 "spad-parser.spad" 1918267 1918276 1918792 1918797) (-1151 "SPADAST.spad" 1917968 1917977 1918257 1918262) (-1150 "SPACEC.spad" 1902167 1902178 1917958 1917963) (-1149 "SPACE3.spad" 1901943 1901954 1902157 1902162) (-1148 "SORTPAK.spad" 1901492 1901505 1901899 1901904) (-1147 "SOLVETRA.spad" 1899255 1899266 1901482 1901487) (-1146 "SOLVESER.spad" 1897783 1897794 1899245 1899250) (-1145 "SOLVERAD.spad" 1893809 1893820 1897773 1897778) (-1144 "SOLVEFOR.spad" 1892271 1892289 1893799 1893804) (-1143 "SNTSCAT.spad" 1891871 1891888 1892239 1892266) (-1142 "SMTS.spad" 1890143 1890169 1891436 1891533) (-1141 "SMP.spad" 1887618 1887638 1888008 1888135) (-1140 "SMITH.spad" 1886463 1886488 1887608 1887613) (-1139 "SMATCAT.spad" 1884573 1884603 1886407 1886458) (-1138 "SMATCAT.spad" 1882615 1882647 1884451 1884456) (-1137 "SKAGG.spad" 1881578 1881589 1882583 1882610) (-1136 "SINT.spad" 1880518 1880527 1881444 1881573) (-1135 "SIMPAN.spad" 1880246 1880255 1880508 1880513) (-1134 "SIG.spad" 1879576 1879585 1880236 1880241) (-1133 "SIGNRF.spad" 1878694 1878705 1879566 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(-157 "COLONAST.spad" 176274 176282 176598 176603) (-156 "CMPLXRT.spad" 175985 176002 176264 176269) (-155 "CLLCTAST.spad" 175647 175655 175975 175980) (-154 "CLIP.spad" 171755 171763 175637 175642) (-153 "CLIF.spad" 170410 170426 171711 171750) (-152 "CLAGG.spad" 166915 166925 170400 170405) (-151 "CLAGG.spad" 163291 163303 166778 166783) (-150 "CINTSLPE.spad" 162622 162635 163281 163286) (-149 "CHVAR.spad" 160760 160782 162612 162617) (-148 "CHARZ.spad" 160675 160683 160740 160755) (-147 "CHARPOL.spad" 160185 160195 160665 160670) (-146 "CHARNZ.spad" 159938 159946 160165 160180) (-145 "CHAR.spad" 157812 157820 159928 159933) (-144 "CFCAT.spad" 157140 157148 157802 157807) (-143 "CDEN.spad" 156336 156350 157130 157135) (-142 "CCLASS.spad" 154485 154493 155747 155786) (-141 "CATEGORY.spad" 153527 153535 154475 154480) (-140 "CATCTOR.spad" 153418 153426 153517 153522) (-139 "CATAST.spad" 153036 153044 153408 153413) (-138 "CASEAST.spad" 152750 152758 153026 153031) (-137 "CARTEN.spad" 148117 148141 152740 152745) (-136 "CARTEN2.spad" 147507 147534 148107 148112) (-135 "CARD.spad" 144802 144810 147481 147502) (-134 "CAPSLAST.spad" 144576 144584 144792 144797) (-133 "CACHSET.spad" 144200 144208 144566 144571) (-132 "CABMON.spad" 143755 143763 144190 144195) (-131 "BYTEORD.spad" 143430 143438 143745 143750) (-130 "BYTE.spad" 142857 142865 143420 143425) (-129 "BYTEBUF.spad" 140716 140724 142026 142053) (-128 "BTREE.spad" 139789 139799 140323 140350) (-127 "BTOURN.spad" 138794 138804 139396 139423) (-126 "BTCAT.spad" 138186 138196 138762 138789) (-125 "BTCAT.spad" 137598 137610 138176 138181) (-124 "BTAGG.spad" 137064 137072 137566 137593) (-123 "BTAGG.spad" 136550 136560 137054 137059) (-122 "BSTREE.spad" 135291 135301 136157 136184) (-121 "BRILL.spad" 133488 133499 135281 135286) (-120 "BRAGG.spad" 132428 132438 133478 133483) (-119 "BRAGG.spad" 131332 131344 132384 132389) (-118 "BPADICRT.spad" 129313 129325 129568 129661) (-117 "BPADIC.spad" 128977 128989 129239 129308) (-116 "BOUNDZRO.spad" 128633 128650 128967 128972) (-115 "BOP.spad" 123815 123823 128623 128628) (-114 "BOP1.spad" 121281 121291 123805 123810) (-113 "BOOLE.spad" 120931 120939 121271 121276) (-112 "BOOLEAN.spad" 120369 120377 120921 120926) (-111 "BMODULE.spad" 120081 120093 120337 120364) (-110 "BITS.spad" 119502 119510 119717 119744) (-109 "BINDING.spad" 118915 118923 119492 119497) (-108 "BINARY.spad" 117026 117034 117382 117475) (-107 "BGAGG.spad" 116231 116241 117006 117021) (-106 "BGAGG.spad" 115444 115456 116221 116226) (-105 "BFUNCT.spad" 115008 115016 115424 115439) (-104 "BEZOUT.spad" 114148 114175 114958 114963) (-103 "BBTREE.spad" 110993 111003 113755 113782) (-102 "BASTYPE.spad" 110665 110673 110983 110988) (-101 "BASTYPE.spad" 110335 110345 110655 110660) (-100 "BALFACT.spad" 109794 109807 110325 110330) (-99 "AUTOMOR.spad" 109245 109254 109774 109789) (-98 "ATTREG.spad" 105968 105975 108997 109240) (-97 "ATTRBUT.spad" 101991 101998 105948 105963) (-96 "ATTRAST.spad" 101708 101715 101981 101986) (-95 "ATRIG.spad" 101178 101185 101698 101703) (-94 "ATRIG.spad" 100646 100655 101168 101173) (-93 "ASTCAT.spad" 100550 100557 100636 100641) (-92 "ASTCAT.spad" 100452 100461 100540 100545) (-91 "ASTACK.spad" 99791 99800 100059 100086) (-90 "ASSOCEQ.spad" 98617 98628 99747 99752) (-89 "ASP9.spad" 97698 97711 98607 98612) (-88 "ASP8.spad" 96741 96754 97688 97693) (-87 "ASP80.spad" 96063 96076 96731 96736) (-86 "ASP7.spad" 95223 95236 96053 96058) (-85 "ASP78.spad" 94674 94687 95213 95218) (-84 "ASP77.spad" 94043 94056 94664 94669) (-83 "ASP74.spad" 93135 93148 94033 94038) (-82 "ASP73.spad" 92406 92419 93125 93130) (-81 "ASP6.spad" 91273 91286 92396 92401) (-80 "ASP55.spad" 89782 89795 91263 91268) (-79 "ASP50.spad" 87599 87612 89772 89777) (-78 "ASP4.spad" 86894 86907 87589 87594) (-77 "ASP49.spad" 85893 85906 86884 86889) (-76 "ASP42.spad" 84300 84339 85883 85888) (-75 "ASP41.spad" 82879 82918 84290 84295) (-74 "ASP35.spad" 81867 81880 82869 82874) (-73 "ASP34.spad" 81168 81181 81857 81862) (-72 "ASP33.spad" 80728 80741 81158 81163) (-71 "ASP31.spad" 79868 79881 80718 80723) (-70 "ASP30.spad" 78760 78773 79858 79863) (-69 "ASP29.spad" 78226 78239 78750 78755) (-68 "ASP28.spad" 69499 69512 78216 78221) (-67 "ASP27.spad" 68396 68409 69489 69494) (-66 "ASP24.spad" 67483 67496 68386 68391) (-65 "ASP20.spad" 66947 66960 67473 67478) (-64 "ASP1.spad" 66328 66341 66937 66942) (-63 "ASP19.spad" 61014 61027 66318 66323) (-62 "ASP12.spad" 60428 60441 61004 61009) (-61 "ASP10.spad" 59699 59712 60418 60423) (-60 "ARRAY2.spad" 59059 59068 59306 59333) (-59 "ARRAY1.spad" 57896 57905 58242 58269) (-58 "ARRAY12.spad" 56609 56620 57886 57891) (-57 "ARR2CAT.spad" 52383 52404 56577 56604) (-56 "ARR2CAT.spad" 48177 48200 52373 52378) (-55 "ARITY.spad" 47549 47556 48167 48172) (-54 "APPRULE.spad" 46809 46831 47539 47544) (-53 "APPLYORE.spad" 46428 46441 46799 46804) (-52 "ANY.spad" 45287 45294 46418 46423) (-51 "ANY1.spad" 44358 44367 45277 45282) (-50 "ANTISYM.spad" 42803 42819 44338 44353) (-49 "ANON.spad" 42496 42503 42793 42798) (-48 "AN.spad" 40805 40812 42312 42405) (-47 "AMR.spad" 38990 39001 40703 40800) (-46 "AMR.spad" 37012 37025 38727 38732) (-45 "ALIST.spad" 34424 34445 34774 34801) (-44 "ALGSC.spad" 33559 33585 34296 34349) (-43 "ALGPKG.spad" 29342 29353 33515 33520) (-42 "ALGMFACT.spad" 28535 28549 29332 29337) (-41 "ALGMANIP.spad" 26009 26024 28368 28373) (-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 2265864 2265869 2265874 2265879) (-2 NIL 2265844 2265849 2265854 2265859) (-1 NIL 2265824 2265829 2265834 2265839) (0 NIL 2265804 2265809 2265814 2265819) (-1313 "ZMOD.spad" 2265613 2265626 2265742 2265799) (-1312 "ZLINDEP.spad" 2264679 2264690 2265603 2265608) (-1311 "ZDSOLVE.spad" 2254624 2254646 2264669 2264674) (-1310 "YSTREAM.spad" 2254119 2254130 2254614 2254619) (-1309 "YDIAGRAM.spad" 2253753 2253762 2254109 2254114) (-1308 "XRPOLY.spad" 2252973 2252993 2253609 2253678) (-1307 "XPR.spad" 2250768 2250781 2252691 2252790) (-1306 "XPOLY.spad" 2250323 2250334 2250624 2250693) (-1305 "XPOLYC.spad" 2249642 2249658 2250249 2250318) (-1304 "XPBWPOLY.spad" 2248079 2248099 2249422 2249491) (-1303 "XF.spad" 2246542 2246557 2247981 2248074) (-1302 "XF.spad" 2244985 2245002 2246426 2246431) (-1301 "XFALG.spad" 2242033 2242049 2244911 2244980) (-1300 "XEXPPKG.spad" 2241284 2241310 2242023 2242028) (-1299 "XDPOLY.spad" 2240898 2240914 2241140 2241209) (-1298 "XALG.spad" 2240558 2240569 2240854 2240893) (-1297 "WUTSET.spad" 2236397 2236414 2240204 2240231) (-1296 "WP.spad" 2235596 2235640 2236255 2236322) (-1295 "WHILEAST.spad" 2235394 2235403 2235586 2235591) (-1294 "WHEREAST.spad" 2235065 2235074 2235384 2235389) (-1293 "WFFINTBS.spad" 2232728 2232750 2235055 2235060) (-1292 "WEIER.spad" 2230950 2230961 2232718 2232723) (-1291 "VSPACE.spad" 2230623 2230634 2230918 2230945) (-1290 "VSPACE.spad" 2230316 2230329 2230613 2230618) (-1289 "VOID.spad" 2229993 2230002 2230306 2230311) (-1288 "VIEW.spad" 2227673 2227682 2229983 2229988) (-1287 "VIEWDEF.spad" 2222874 2222883 2227663 2227668) (-1286 "VIEW3D.spad" 2206835 2206844 2222864 2222869) (-1285 "VIEW2D.spad" 2194726 2194735 2206825 2206830) (-1284 "VECTOR.spad" 2193400 2193411 2193651 2193678) (-1283 "VECTOR2.spad" 2192039 2192052 2193390 2193395) (-1282 "VECTCAT.spad" 2189943 2189954 2192007 2192034) (-1281 "VECTCAT.spad" 2187654 2187667 2189720 2189725) (-1280 "VARIABLE.spad" 2187434 2187449 2187644 2187649) (-1279 "UTYPE.spad" 2187078 2187087 2187424 2187429) (-1278 "UTSODETL.spad" 2186373 2186397 2187034 2187039) (-1277 "UTSODE.spad" 2184589 2184609 2186363 2186368) (-1276 "UTS.spad" 2179393 2179421 2183056 2183153) (-1275 "UTSCAT.spad" 2176872 2176888 2179291 2179388) (-1274 "UTSCAT.spad" 2173995 2174013 2176416 2176421) (-1273 "UTS2.spad" 2173590 2173625 2173985 2173990) (-1272 "URAGG.spad" 2168263 2168274 2173580 2173585) (-1271 "URAGG.spad" 2162900 2162913 2168219 2168224) (-1270 "UPXSSING.spad" 2160545 2160571 2161981 2162114) (-1269 "UPXS.spad" 2157699 2157727 2158677 2158826) (-1268 "UPXSCONS.spad" 2155458 2155478 2155831 2155980) (-1267 "UPXSCCA.spad" 2154029 2154049 2155304 2155453) (-1266 "UPXSCCA.spad" 2152742 2152764 2154019 2154024) (-1265 "UPXSCAT.spad" 2151331 2151347 2152588 2152737) (-1264 "UPXS2.spad" 2150874 2150927 2151321 2151326) (-1263 "UPSQFREE.spad" 2149288 2149302 2150864 2150869) (-1262 "UPSCAT.spad" 2147075 2147099 2149186 2149283) (-1261 "UPSCAT.spad" 2144568 2144594 2146681 2146686) (-1260 "UPOLYC.spad" 2139608 2139619 2144410 2144563) (-1259 "UPOLYC.spad" 2134540 2134553 2139344 2139349) (-1258 "UPOLYC2.spad" 2134011 2134030 2134530 2134535) (-1257 "UP.spad" 2131210 2131225 2131597 2131750) (-1256 "UPMP.spad" 2130110 2130123 2131200 2131205) (-1255 "UPDIVP.spad" 2129675 2129689 2130100 2130105) (-1254 "UPDECOMP.spad" 2127920 2127934 2129665 2129670) (-1253 "UPCDEN.spad" 2127129 2127145 2127910 2127915) (-1252 "UP2.spad" 2126493 2126514 2127119 2127124) (-1251 "UNISEG.spad" 2125846 2125857 2126412 2126417) (-1250 "UNISEG2.spad" 2125343 2125356 2125802 2125807) (-1249 "UNIFACT.spad" 2124446 2124458 2125333 2125338) (-1248 "ULS.spad" 2115004 2115032 2116091 2116520) (-1247 "ULSCONS.spad" 2107400 2107420 2107770 2107919) (-1246 "ULSCCAT.spad" 2105137 2105157 2107246 2107395) (-1245 "ULSCCAT.spad" 2102982 2103004 2105093 2105098) (-1244 "ULSCAT.spad" 2101214 2101230 2102828 2102977) (-1243 "ULS2.spad" 2100728 2100781 2101204 2101209) (-1242 "UINT8.spad" 2100605 2100614 2100718 2100723) (-1241 "UINT64.spad" 2100481 2100490 2100595 2100600) (-1240 "UINT32.spad" 2100357 2100366 2100471 2100476) (-1239 "UINT16.spad" 2100233 2100242 2100347 2100352) (-1238 "UFD.spad" 2099298 2099307 2100159 2100228) (-1237 "UFD.spad" 2098425 2098436 2099288 2099293) (-1236 "UDVO.spad" 2097306 2097315 2098415 2098420) (-1235 "UDPO.spad" 2094799 2094810 2097262 2097267) (-1234 "TYPE.spad" 2094731 2094740 2094789 2094794) (-1233 "TYPEAST.spad" 2094650 2094659 2094721 2094726) (-1232 "TWOFACT.spad" 2093302 2093317 2094640 2094645) (-1231 "TUPLE.spad" 2092788 2092799 2093201 2093206) (-1230 "TUBETOOL.spad" 2089655 2089664 2092778 2092783) (-1229 "TUBE.spad" 2088302 2088319 2089645 2089650) (-1228 "TS.spad" 2086901 2086917 2087867 2087964) (-1227 "TSETCAT.spad" 2074028 2074045 2086869 2086896) (-1226 "TSETCAT.spad" 2061141 2061160 2073984 2073989) (-1225 "TRMANIP.spad" 2055507 2055524 2060847 2060852) (-1224 "TRIMAT.spad" 2054470 2054495 2055497 2055502) (-1223 "TRIGMNIP.spad" 2052997 2053014 2054460 2054465) (-1222 "TRIGCAT.spad" 2052509 2052518 2052987 2052992) (-1221 "TRIGCAT.spad" 2052019 2052030 2052499 2052504) (-1220 "TREE.spad" 2050594 2050605 2051626 2051653) (-1219 "TRANFUN.spad" 2050433 2050442 2050584 2050589) (-1218 "TRANFUN.spad" 2050270 2050281 2050423 2050428) (-1217 "TOPSP.spad" 2049944 2049953 2050260 2050265) (-1216 "TOOLSIGN.spad" 2049607 2049618 2049934 2049939) (-1215 "TEXTFILE.spad" 2048168 2048177 2049597 2049602) (-1214 "TEX.spad" 2045314 2045323 2048158 2048163) (-1213 "TEX1.spad" 2044870 2044881 2045304 2045309) (-1212 "TEMUTL.spad" 2044425 2044434 2044860 2044865) (-1211 "TBCMPPK.spad" 2042518 2042541 2044415 2044420) (-1210 "TBAGG.spad" 2041568 2041591 2042498 2042513) (-1209 "TBAGG.spad" 2040626 2040651 2041558 2041563) (-1208 "TANEXP.spad" 2040034 2040045 2040616 2040621) (-1207 "TALGOP.spad" 2039758 2039769 2040024 2040029) (-1206 "TABLE.spad" 2038169 2038192 2038439 2038466) (-1205 "TABLEAU.spad" 2037650 2037661 2038159 2038164) (-1204 "TABLBUMP.spad" 2034453 2034464 2037640 2037645) (-1203 "SYSTEM.spad" 2033681 2033690 2034443 2034448) (-1202 "SYSSOLP.spad" 2031164 2031175 2033671 2033676) (-1201 "SYSPTR.spad" 2031063 2031072 2031154 2031159) (-1200 "SYSNNI.spad" 2030245 2030256 2031053 2031058) (-1199 "SYSINT.spad" 2029649 2029660 2030235 2030240) (-1198 "SYNTAX.spad" 2025855 2025864 2029639 2029644) (-1197 "SYMTAB.spad" 2023923 2023932 2025845 2025850) (-1196 "SYMS.spad" 2019946 2019955 2023913 2023918) (-1195 "SYMPOLY.spad" 2018953 2018964 2019035 2019162) (-1194 "SYMFUNC.spad" 2018454 2018465 2018943 2018948) (-1193 "SYMBOL.spad" 2015957 2015966 2018444 2018449) (-1192 "SWITCH.spad" 2012728 2012737 2015947 2015952) (-1191 "SUTS.spad" 2009633 2009661 2011195 2011292) (-1190 "SUPXS.spad" 2006774 2006802 2007765 2007914) (-1189 "SUP.spad" 2003587 2003598 2004360 2004513) (-1188 "SUPFRACF.spad" 2002692 2002710 2003577 2003582) (-1187 "SUP2.spad" 2002084 2002097 2002682 2002687) (-1186 "SUMRF.spad" 2001058 2001069 2002074 2002079) (-1185 "SUMFS.spad" 2000695 2000712 2001048 2001053) (-1184 "SULS.spad" 1991240 1991268 1992340 1992769) (-1183 "SUCHTAST.spad" 1991009 1991018 1991230 1991235) (-1182 "SUCH.spad" 1990691 1990706 1990999 1991004) (-1181 "SUBSPACE.spad" 1982806 1982821 1990681 1990686) (-1180 "SUBRESP.spad" 1981976 1981990 1982762 1982767) (-1179 "STTF.spad" 1978075 1978091 1981966 1981971) (-1178 "STTFNC.spad" 1974543 1974559 1978065 1978070) (-1177 "STTAYLOR.spad" 1967178 1967189 1974424 1974429) (-1176 "STRTBL.spad" 1965683 1965700 1965832 1965859) (-1175 "STRING.spad" 1965092 1965101 1965106 1965133) (-1174 "STRICAT.spad" 1964880 1964889 1965060 1965087) (-1173 "STREAM.spad" 1961798 1961809 1964405 1964420) (-1172 "STREAM3.spad" 1961371 1961386 1961788 1961793) (-1171 "STREAM2.spad" 1960499 1960512 1961361 1961366) (-1170 "STREAM1.spad" 1960205 1960216 1960489 1960494) (-1169 "STINPROD.spad" 1959141 1959157 1960195 1960200) (-1168 "STEP.spad" 1958342 1958351 1959131 1959136) (-1167 "STEPAST.spad" 1957576 1957585 1958332 1958337) (-1166 "STBL.spad" 1956102 1956130 1956269 1956284) (-1165 "STAGG.spad" 1955177 1955188 1956092 1956097) (-1164 "STAGG.spad" 1954250 1954263 1955167 1955172) (-1163 "STACK.spad" 1953607 1953618 1953857 1953884) (-1162 "SREGSET.spad" 1951311 1951328 1953253 1953280) (-1161 "SRDCMPK.spad" 1949872 1949892 1951301 1951306) (-1160 "SRAGG.spad" 1945015 1945024 1949840 1949867) (-1159 "SRAGG.spad" 1940178 1940189 1945005 1945010) (-1158 "SQMATRIX.spad" 1937850 1937868 1938766 1938853) (-1157 "SPLTREE.spad" 1932402 1932415 1937286 1937313) (-1156 "SPLNODE.spad" 1928990 1929003 1932392 1932397) (-1155 "SPFCAT.spad" 1927799 1927808 1928980 1928985) (-1154 "SPECOUT.spad" 1926351 1926360 1927789 1927794) (-1153 "SPADXPT.spad" 1917946 1917955 1926341 1926346) (-1152 "spad-parser.spad" 1917411 1917420 1917936 1917941) (-1151 "SPADAST.spad" 1917112 1917121 1917401 1917406) (-1150 "SPACEC.spad" 1901311 1901322 1917102 1917107) (-1149 "SPACE3.spad" 1901087 1901098 1901301 1901306) (-1148 "SORTPAK.spad" 1900636 1900649 1901043 1901048) (-1147 "SOLVETRA.spad" 1898399 1898410 1900626 1900631) (-1146 "SOLVESER.spad" 1896927 1896938 1898389 1898394) (-1145 "SOLVERAD.spad" 1892953 1892964 1896917 1896922) (-1144 "SOLVEFOR.spad" 1891415 1891433 1892943 1892948) (-1143 "SNTSCAT.spad" 1891015 1891032 1891383 1891410) (-1142 "SMTS.spad" 1889287 1889313 1890580 1890677) (-1141 "SMP.spad" 1886762 1886782 1887152 1887279) (-1140 "SMITH.spad" 1885607 1885632 1886752 1886757) (-1139 "SMATCAT.spad" 1883717 1883747 1885551 1885602) (-1138 "SMATCAT.spad" 1881759 1881791 1883595 1883600) (-1137 "SKAGG.spad" 1880722 1880733 1881727 1881754) (-1136 "SINT.spad" 1879662 1879671 1880588 1880717) (-1135 "SIMPAN.spad" 1879390 1879399 1879652 1879657) (-1134 "SIG.spad" 1878720 1878729 1879380 1879385) (-1133 "SIGNRF.spad" 1877838 1877849 1878710 1878715) (-1132 "SIGNEF.spad" 1877117 1877134 1877828 1877833) (-1131 "SIGAST.spad" 1876502 1876511 1877107 1877112) (-1130 "SHP.spad" 1874430 1874445 1876458 1876463) (-1129 "SHDP.spad" 1864525 1864552 1865034 1865133) (-1128 "SGROUP.spad" 1864133 1864142 1864515 1864520) (-1127 "SGROUP.spad" 1863739 1863750 1864123 1864128) (-1126 "SGCF.spad" 1856878 1856887 1863729 1863734) (-1125 "SFRTCAT.spad" 1855808 1855825 1856846 1856873) (-1124 "SFRGCD.spad" 1854871 1854891 1855798 1855803) (-1123 "SFQCMPK.spad" 1849508 1849528 1854861 1854866) (-1122 "SFORT.spad" 1848947 1848961 1849498 1849503) (-1121 "SEXOF.spad" 1848790 1848830 1848937 1848942) (-1120 "SEX.spad" 1848682 1848691 1848780 1848785) (-1119 "SEXCAT.spad" 1846463 1846503 1848672 1848677) (-1118 "SET.spad" 1844787 1844798 1845884 1845923) (-1117 "SETMN.spad" 1843237 1843254 1844777 1844782) (-1116 "SETCAT.spad" 1842559 1842568 1843227 1843232) (-1115 "SETCAT.spad" 1841879 1841890 1842549 1842554) (-1114 "SETAGG.spad" 1838428 1838439 1841859 1841874) (-1113 "SETAGG.spad" 1834985 1834998 1838418 1838423) (-1112 "SEQAST.spad" 1834688 1834697 1834975 1834980) (-1111 "SEGXCAT.spad" 1833844 1833857 1834678 1834683) (-1110 "SEG.spad" 1833657 1833668 1833763 1833768) (-1109 "SEGCAT.spad" 1832582 1832593 1833647 1833652) (-1108 "SEGBIND.spad" 1832340 1832351 1832529 1832534) (-1107 "SEGBIND2.spad" 1832038 1832051 1832330 1832335) (-1106 "SEGAST.spad" 1831752 1831761 1832028 1832033) (-1105 "SEG2.spad" 1831187 1831200 1831708 1831713) (-1104 "SDVAR.spad" 1830463 1830474 1831177 1831182) (-1103 "SDPOL.spad" 1827889 1827900 1828180 1828307) (-1102 "SCPKG.spad" 1825978 1825989 1827879 1827884) (-1101 "SCOPE.spad" 1825131 1825140 1825968 1825973) (-1100 "SCACHE.spad" 1823827 1823838 1825121 1825126) (-1099 "SASTCAT.spad" 1823736 1823745 1823817 1823822) (-1098 "SAOS.spad" 1823608 1823617 1823726 1823731) (-1097 "SAERFFC.spad" 1823321 1823341 1823598 1823603) (-1096 "SAE.spad" 1821275 1821291 1821886 1822021) (-1095 "SAEFACT.spad" 1820976 1820996 1821265 1821270) (-1094 "RURPK.spad" 1818635 1818651 1820966 1820971) (-1093 "RULESET.spad" 1818088 1818112 1818625 1818630) (-1092 "RULE.spad" 1816328 1816352 1818078 1818083) (-1091 "RULECOLD.spad" 1816180 1816193 1816318 1816323) (-1090 "RTVALUE.spad" 1815915 1815924 1816170 1816175) (-1089 "RSTRCAST.spad" 1815632 1815641 1815905 1815910) (-1088 "RSETGCD.spad" 1812010 1812030 1815622 1815627) (-1087 "RSETCAT.spad" 1801946 1801963 1811978 1812005) (-1086 "RSETCAT.spad" 1791902 1791921 1801936 1801941) (-1085 "RSDCMPK.spad" 1790354 1790374 1791892 1791897) (-1084 "RRCC.spad" 1788738 1788768 1790344 1790349) (-1083 "RRCC.spad" 1787120 1787152 1788728 1788733) (-1082 "RPTAST.spad" 1786822 1786831 1787110 1787115) (-1081 "RPOLCAT.spad" 1766182 1766197 1786690 1786817) (-1080 "RPOLCAT.spad" 1745255 1745272 1765765 1765770) (-1079 "ROUTINE.spad" 1741138 1741147 1743902 1743929) (-1078 "ROMAN.spad" 1740466 1740475 1741004 1741133) (-1077 "ROIRC.spad" 1739546 1739578 1740456 1740461) (-1076 "RNS.spad" 1738449 1738458 1739448 1739541) (-1075 "RNS.spad" 1737438 1737449 1738439 1738444) (-1074 "RNG.spad" 1737173 1737182 1737428 1737433) (-1073 "RNGBIND.spad" 1736333 1736347 1737128 1737133) (-1072 "RMODULE.spad" 1736098 1736109 1736323 1736328) (-1071 "RMCAT2.spad" 1735518 1735575 1736088 1736093) (-1070 "RMATRIX.spad" 1734342 1734361 1734685 1734724) (-1069 "RMATCAT.spad" 1729921 1729952 1734298 1734337) (-1068 "RMATCAT.spad" 1725390 1725423 1729769 1729774) (-1067 "RLINSET.spad" 1724945 1724956 1725380 1725385) (-1066 "RINTERP.spad" 1724833 1724853 1724935 1724940) (-1065 "RING.spad" 1724303 1724312 1724813 1724828) (-1064 "RING.spad" 1723781 1723792 1724293 1724298) (-1063 "RIDIST.spad" 1723173 1723182 1723771 1723776) (-1062 "RGCHAIN.spad" 1721756 1721772 1722658 1722685) (-1061 "RGBCSPC.spad" 1721537 1721549 1721746 1721751) (-1060 "RGBCMDL.spad" 1721067 1721079 1721527 1721532) (-1059 "RF.spad" 1718709 1718720 1721057 1721062) (-1058 "RFFACTOR.spad" 1718171 1718182 1718699 1718704) (-1057 "RFFACT.spad" 1717906 1717918 1718161 1718166) (-1056 "RFDIST.spad" 1716902 1716911 1717896 1717901) (-1055 "RETSOL.spad" 1716321 1716334 1716892 1716897) (-1054 "RETRACT.spad" 1715749 1715760 1716311 1716316) (-1053 "RETRACT.spad" 1715175 1715188 1715739 1715744) (-1052 "RETAST.spad" 1714987 1714996 1715165 1715170) (-1051 "RESULT.spad" 1713047 1713056 1713634 1713661) (-1050 "RESRING.spad" 1712394 1712441 1712985 1713042) (-1049 "RESLATC.spad" 1711718 1711729 1712384 1712389) (-1048 "REPSQ.spad" 1711449 1711460 1711708 1711713) (-1047 "REP.spad" 1709003 1709012 1711439 1711444) (-1046 "REPDB.spad" 1708710 1708721 1708993 1708998) (-1045 "REP2.spad" 1698368 1698379 1708552 1708557) (-1044 "REP1.spad" 1692564 1692575 1698318 1698323) (-1043 "REGSET.spad" 1690361 1690378 1692210 1692237) (-1042 "REF.spad" 1689696 1689707 1690316 1690321) (-1041 "REDORDER.spad" 1688902 1688919 1689686 1689691) (-1040 "RECLOS.spad" 1687685 1687705 1688389 1688482) (-1039 "REALSOLV.spad" 1686825 1686834 1687675 1687680) (-1038 "REAL.spad" 1686697 1686706 1686815 1686820) (-1037 "REAL0Q.spad" 1683995 1684010 1686687 1686692) (-1036 "REAL0.spad" 1680839 1680854 1683985 1683990) (-1035 "RDUCEAST.spad" 1680560 1680569 1680829 1680834) (-1034 "RDIV.spad" 1680215 1680240 1680550 1680555) (-1033 "RDIST.spad" 1679782 1679793 1680205 1680210) (-1032 "RDETRS.spad" 1678646 1678664 1679772 1679777) (-1031 "RDETR.spad" 1676785 1676803 1678636 1678641) (-1030 "RDEEFS.spad" 1675884 1675901 1676775 1676780) (-1029 "RDEEF.spad" 1674894 1674911 1675874 1675879) (-1028 "RCFIELD.spad" 1672080 1672089 1674796 1674889) (-1027 "RCFIELD.spad" 1669352 1669363 1672070 1672075) (-1026 "RCAGG.spad" 1667280 1667291 1669342 1669347) (-1025 "RCAGG.spad" 1665135 1665148 1667199 1667204) (-1024 "RATRET.spad" 1664495 1664506 1665125 1665130) (-1023 "RATFACT.spad" 1664187 1664199 1664485 1664490) (-1022 "RANDSRC.spad" 1663506 1663515 1664177 1664182) (-1021 "RADUTIL.spad" 1663262 1663271 1663496 1663501) (-1020 "RADIX.spad" 1660183 1660197 1661729 1661822) (-1019 "RADFF.spad" 1658340 1658377 1658459 1658615) (-1018 "RADCAT.spad" 1657935 1657944 1658330 1658335) (-1017 "RADCAT.spad" 1657528 1657539 1657925 1657930) (-1016 "QUEUE.spad" 1656876 1656887 1657135 1657162) (-1015 "QUAT.spad" 1655277 1655288 1655620 1655685) (-1014 "QUATCT2.spad" 1654897 1654916 1655267 1655272) (-1013 "QUATCAT.spad" 1653067 1653078 1654827 1654892) (-1012 "QUATCAT.spad" 1650988 1651001 1652750 1652755) (-1011 "QUAGG.spad" 1649815 1649826 1650956 1650983) (-1010 "QQUTAST.spad" 1649583 1649592 1649805 1649810) (-1009 "QFORM.spad" 1649201 1649216 1649573 1649578) (-1008 "QFCAT.spad" 1647903 1647914 1649103 1649196) (-1007 "QFCAT.spad" 1646196 1646209 1647398 1647403) (-1006 "QFCAT2.spad" 1645888 1645905 1646186 1646191) (-1005 "QEQUAT.spad" 1645446 1645455 1645878 1645883) (-1004 "QCMPACK.spad" 1640192 1640212 1645436 1645441) (-1003 "QALGSET.spad" 1636270 1636303 1640106 1640111) (-1002 "QALGSET2.spad" 1634265 1634284 1636260 1636265) (-1001 "PWFFINTB.spad" 1631680 1631702 1634255 1634260) (-1000 "PUSHVAR.spad" 1631018 1631038 1631670 1631675) (-999 "PTRANFN.spad" 1627146 1627156 1631008 1631013) (-998 "PTPACK.spad" 1624234 1624244 1627136 1627141) (-997 "PTFUNC2.spad" 1624057 1624071 1624224 1624229) (-996 "PTCAT.spad" 1623312 1623322 1624025 1624052) (-995 "PSQFR.spad" 1622619 1622643 1623302 1623307) (-994 "PSEUDLIN.spad" 1621505 1621515 1622609 1622614) (-993 "PSETPK.spad" 1606938 1606954 1621383 1621388) (-992 "PSETCAT.spad" 1600858 1600881 1606918 1606933) (-991 "PSETCAT.spad" 1594752 1594777 1600814 1600819) (-990 "PSCURVE.spad" 1593735 1593743 1594742 1594747) (-989 "PSCAT.spad" 1592518 1592547 1593633 1593730) (-988 "PSCAT.spad" 1591391 1591422 1592508 1592513) (-987 "PRTITION.spad" 1590089 1590097 1591381 1591386) (-986 "PRTDAST.spad" 1589808 1589816 1590079 1590084) (-985 "PRS.spad" 1579370 1579387 1589764 1589769) (-984 "PRQAGG.spad" 1578805 1578815 1579338 1579365) (-983 "PROPLOG.spad" 1578377 1578385 1578795 1578800) (-982 "PROPFUN2.spad" 1578000 1578013 1578367 1578372) (-981 "PROPFUN1.spad" 1577398 1577409 1577990 1577995) (-980 "PROPFRML.spad" 1575966 1575977 1577388 1577393) (-979 "PROPERTY.spad" 1575454 1575462 1575956 1575961) (-978 "PRODUCT.spad" 1573136 1573148 1573420 1573475) (-977 "PR.spad" 1571528 1571540 1572227 1572354) (-976 "PRINT.spad" 1571280 1571288 1571518 1571523) (-975 "PRIMES.spad" 1569533 1569543 1571270 1571275) (-974 "PRIMELT.spad" 1567614 1567628 1569523 1569528) (-973 "PRIMCAT.spad" 1567241 1567249 1567604 1567609) (-972 "PRIMARR.spad" 1566246 1566256 1566424 1566451) (-971 "PRIMARR2.spad" 1565013 1565025 1566236 1566241) (-970 "PREASSOC.spad" 1564395 1564407 1565003 1565008) (-969 "PPCURVE.spad" 1563532 1563540 1564385 1564390) (-968 "PORTNUM.spad" 1563307 1563315 1563522 1563527) (-967 "POLYROOT.spad" 1562156 1562178 1563263 1563268) (-966 "POLY.spad" 1559491 1559501 1560006 1560133) (-965 "POLYLIFT.spad" 1558756 1558779 1559481 1559486) (-964 "POLYCATQ.spad" 1556874 1556896 1558746 1558751) (-963 "POLYCAT.spad" 1550344 1550365 1556742 1556869) (-962 "POLYCAT.spad" 1543152 1543175 1549552 1549557) (-961 "POLY2UP.spad" 1542604 1542618 1543142 1543147) (-960 "POLY2.spad" 1542201 1542213 1542594 1542599) (-959 "POLUTIL.spad" 1541142 1541171 1542157 1542162) (-958 "POLTOPOL.spad" 1539890 1539905 1541132 1541137) (-957 "POINT.spad" 1538728 1538738 1538815 1538842) (-956 "PNTHEORY.spad" 1535430 1535438 1538718 1538723) (-955 "PMTOOLS.spad" 1534205 1534219 1535420 1535425) (-954 "PMSYM.spad" 1533754 1533764 1534195 1534200) (-953 "PMQFCAT.spad" 1533345 1533359 1533744 1533749) (-952 "PMPRED.spad" 1532824 1532838 1533335 1533340) (-951 "PMPREDFS.spad" 1532278 1532300 1532814 1532819) (-950 "PMPLCAT.spad" 1531358 1531376 1532210 1532215) (-949 "PMLSAGG.spad" 1530943 1530957 1531348 1531353) (-948 "PMKERNEL.spad" 1530522 1530534 1530933 1530938) (-947 "PMINS.spad" 1530102 1530112 1530512 1530517) (-946 "PMFS.spad" 1529679 1529697 1530092 1530097) (-945 "PMDOWN.spad" 1528969 1528983 1529669 1529674) (-944 "PMASS.spad" 1527979 1527987 1528959 1528964) (-943 "PMASSFS.spad" 1526946 1526962 1527969 1527974) (-942 "PLOTTOOL.spad" 1526726 1526734 1526936 1526941) (-941 "PLOT.spad" 1521649 1521657 1526716 1526721) (-940 "PLOT3D.spad" 1518113 1518121 1521639 1521644) (-939 "PLOT1.spad" 1517270 1517280 1518103 1518108) (-938 "PLEQN.spad" 1504560 1504587 1517260 1517265) (-937 "PINTERP.spad" 1504182 1504201 1504550 1504555) (-936 "PINTERPA.spad" 1503966 1503982 1504172 1504177) (-935 "PI.spad" 1503575 1503583 1503940 1503961) (-934 "PID.spad" 1502545 1502553 1503501 1503570) (-933 "PICOERCE.spad" 1502202 1502212 1502535 1502540) (-932 "PGROEB.spad" 1500803 1500817 1502192 1502197) (-931 "PGE.spad" 1492420 1492428 1500793 1500798) (-930 "PGCD.spad" 1491310 1491327 1492410 1492415) (-929 "PFRPAC.spad" 1490459 1490469 1491300 1491305) (-928 "PFR.spad" 1487122 1487132 1490361 1490454) (-927 "PFOTOOLS.spad" 1486380 1486396 1487112 1487117) (-926 "PFOQ.spad" 1485750 1485768 1486370 1486375) (-925 "PFO.spad" 1485169 1485196 1485740 1485745) (-924 "PF.spad" 1484743 1484755 1484974 1485067) (-923 "PFECAT.spad" 1482425 1482433 1484669 1484738) (-922 "PFECAT.spad" 1480135 1480145 1482381 1482386) (-921 "PFBRU.spad" 1478023 1478035 1480125 1480130) (-920 "PFBR.spad" 1475583 1475606 1478013 1478018) (-919 "PERM.spad" 1471390 1471400 1475413 1475428) (-918 "PERMGRP.spad" 1466160 1466170 1471380 1471385) (-917 "PERMCAT.spad" 1464821 1464831 1466140 1466155) (-916 "PERMAN.spad" 1463353 1463367 1464811 1464816) (-915 "PENDTREE.spad" 1462694 1462704 1462982 1462987) (-914 "PDSPC.spad" 1461507 1461517 1462684 1462689) (-913 "PDSPC.spad" 1460318 1460330 1461497 1461502) (-912 "PDRING.spad" 1460160 1460170 1460298 1460313) (-911 "PDEPROB.spad" 1459175 1459183 1460150 1460155) (-910 "PDEPACK.spad" 1453215 1453223 1459165 1459170) (-909 "PDECOMP.spad" 1452685 1452702 1453205 1453210) (-908 "PDECAT.spad" 1451041 1451049 1452675 1452680) (-907 "PDDOM.spad" 1450479 1450492 1451031 1451036) (-906 "PDDOM.spad" 1449915 1449930 1450469 1450474) (-905 "PCOMP.spad" 1449768 1449781 1449905 1449910) (-904 "PBWLB.spad" 1448356 1448373 1449758 1449763) (-903 "PATTERN.spad" 1442895 1442905 1448346 1448351) (-902 "PATTERN2.spad" 1442633 1442645 1442885 1442890) (-901 "PATTERN1.spad" 1440969 1440985 1442623 1442628) (-900 "PATRES.spad" 1438544 1438556 1440959 1440964) (-899 "PATRES2.spad" 1438216 1438230 1438534 1438539) (-898 "PATMATCH.spad" 1436413 1436444 1437924 1437929) (-897 "PATMAB.spad" 1435842 1435852 1436403 1436408) (-896 "PATLRES.spad" 1434928 1434942 1435832 1435837) (-895 "PATAB.spad" 1434692 1434702 1434918 1434923) (-894 "PARTPERM.spad" 1432700 1432708 1434682 1434687) (-893 "PARSURF.spad" 1432134 1432162 1432690 1432695) (-892 "PARSU2.spad" 1431931 1431947 1432124 1432129) (-891 "script-parser.spad" 1431451 1431459 1431921 1431926) (-890 "PARSCURV.spad" 1430885 1430913 1431441 1431446) (-889 "PARSC2.spad" 1430676 1430692 1430875 1430880) (-888 "PARPCURV.spad" 1430138 1430166 1430666 1430671) (-887 "PARPC2.spad" 1429929 1429945 1430128 1430133) (-886 "PARAMAST.spad" 1429057 1429065 1429919 1429924) (-885 "PAN2EXPR.spad" 1428469 1428477 1429047 1429052) (-884 "PALETTE.spad" 1427439 1427447 1428459 1428464) (-883 "PAIR.spad" 1426426 1426439 1427027 1427032) (-882 "PADICRC.spad" 1423760 1423778 1424931 1425024) (-881 "PADICRAT.spad" 1421775 1421787 1421996 1422089) (-880 "PADIC.spad" 1421470 1421482 1421701 1421770) (-879 "PADICCT.spad" 1420019 1420031 1421396 1421465) (-878 "PADEPAC.spad" 1418708 1418727 1420009 1420014) (-877 "PADE.spad" 1417460 1417476 1418698 1418703) (-876 "OWP.spad" 1416700 1416730 1417318 1417385) (-875 "OVERSET.spad" 1416273 1416281 1416690 1416695) (-874 "OVAR.spad" 1416054 1416077 1416263 1416268) (-873 "OUT.spad" 1415140 1415148 1416044 1416049) (-872 "OUTFORM.spad" 1404532 1404540 1415130 1415135) (-871 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1380146) (-852 "ORDCOMP2.spad" 1378328 1378340 1379025 1379030) (-851 "OPTPROB.spad" 1376966 1376974 1378318 1378323) (-850 "OPTPACK.spad" 1369375 1369383 1376956 1376961) (-849 "OPTCAT.spad" 1367054 1367062 1369365 1369370) (-848 "OPSIG.spad" 1366708 1366716 1367044 1367049) (-847 "OPQUERY.spad" 1366257 1366265 1366698 1366703) (-846 "OP.spad" 1365999 1366009 1366079 1366146) (-845 "OPERCAT.spad" 1365465 1365475 1365989 1365994) (-844 "OPERCAT.spad" 1364929 1364941 1365455 1365460) (-843 "ONECOMP.spad" 1363674 1363684 1364476 1364505) (-842 "ONECOMP2.spad" 1363098 1363110 1363664 1363669) (-841 "OMSERVER.spad" 1362104 1362112 1363088 1363093) (-840 "OMSAGG.spad" 1361892 1361902 1362060 1362099) (-839 "OMPKG.spad" 1360508 1360516 1361882 1361887) (-838 "OM.spad" 1359481 1359489 1360498 1360503) (-837 "OMLO.spad" 1358906 1358918 1359367 1359406) (-836 "OMEXPR.spad" 1358740 1358750 1358896 1358901) (-835 "OMERR.spad" 1358285 1358293 1358730 1358735) (-834 "OMERRK.spad" 1357319 1357327 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(-645 "LIE.spad" 1002882 1002894 1004156 1004301) (-644 "LIECAT.spad" 1002358 1002368 1002808 1002877) (-643 "LIECAT.spad" 1001862 1001874 1002314 1002319) (-642 "LIB.spad" 1000075 1000083 1000521 1000536) (-641 "LGROBP.spad" 997428 997447 1000065 1000070) (-640 "LF.spad" 996383 996399 997418 997423) (-639 "LFCAT.spad" 995442 995450 996373 996378) (-638 "LEXTRIPK.spad" 990945 990960 995432 995437) (-637 "LEXP.spad" 988948 988975 990925 990940) (-636 "LETAST.spad" 988647 988655 988938 988943) (-635 "LEADCDET.spad" 987045 987062 988637 988642) (-634 "LAZM3PK.spad" 985749 985771 987035 987040) (-633 "LAUPOL.spad" 984341 984354 985241 985310) (-632 "LAPLACE.spad" 983924 983940 984331 984336) (-631 "LA.spad" 983364 983378 983846 983885) (-630 "LALG.spad" 983140 983150 983344 983359) (-629 "LALG.spad" 982924 982936 983130 983135) (-628 "KVTFROM.spad" 982659 982669 982914 982919) (-627 "KTVLOGIC.spad" 982171 982179 982649 982654) (-626 "KRCFROM.spad" 981909 981919 982161 982166) (-625 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274568 274578 274981 274986) (-236 "DIFFMOD.spad" 274057 274067 274536 274563) (-235 "DIFFDOM.spad" 273222 273233 274047 274052) (-234 "DIFFDOM.spad" 272385 272398 273212 273217) (-233 "DIFEXT.spad" 271556 271566 272365 272380) (-232 "DIFEXT.spad" 270644 270656 271455 271460) (-231 "DIAGG.spad" 270274 270284 270624 270639) (-230 "DIAGG.spad" 269912 269924 270264 270269) (-229 "DHMATRIX.spad" 268224 268234 269369 269396) (-228 "DFSFUN.spad" 261864 261872 268214 268219) (-227 "DFLOAT.spad" 258595 258603 261754 261859) (-226 "DFINTTLS.spad" 256826 256842 258585 258590) (-225 "DERHAM.spad" 254740 254772 256806 256821) (-224 "DEQUEUE.spad" 254064 254074 254347 254374) (-223 "DEGRED.spad" 253681 253695 254054 254059) (-222 "DEFINTRF.spad" 251218 251228 253671 253676) (-221 "DEFINTEF.spad" 249728 249744 251208 251213) (-220 "DEFAST.spad" 249096 249104 249718 249723) (-219 "DECIMAL.spad" 247202 247210 247563 247656) (-218 "DDFACT.spad" 245015 245032 247192 247197) (-217 "DBLRESP.spad" 244615 244639 245005 245010) (-216 "DBASE.spad" 243279 243289 244605 244610) (-215 "DATAARY.spad" 242741 242754 243269 243274) (-214 "D03FAFA.spad" 242569 242577 242731 242736) (-213 "D03EEFA.spad" 242389 242397 242559 242564) (-212 "D03AGNT.spad" 241475 241483 242379 242384) (-211 "D02EJFA.spad" 240937 240945 241465 241470) (-210 "D02CJFA.spad" 240415 240423 240927 240932) (-209 "D02BHFA.spad" 239905 239913 240405 240410) (-208 "D02BBFA.spad" 239395 239403 239895 239900) (-207 "D02AGNT.spad" 234209 234217 239385 239390) (-206 "D01WGTS.spad" 232528 232536 234199 234204) (-205 "D01TRNS.spad" 232505 232513 232518 232523) (-204 "D01GBFA.spad" 232027 232035 232495 232500) (-203 "D01FCFA.spad" 231549 231557 232017 232022) (-202 "D01ASFA.spad" 231017 231025 231539 231544) (-201 "D01AQFA.spad" 230463 230471 231007 231012) (-200 "D01APFA.spad" 229887 229895 230453 230458) (-199 "D01ANFA.spad" 229381 229389 229877 229882) (-198 "D01AMFA.spad" 228891 228899 229371 229376) (-197 "D01ALFA.spad" 228431 228439 228881 228886) (-196 "D01AKFA.spad" 227957 227965 228421 228426) (-195 "D01AJFA.spad" 227480 227488 227947 227952) (-194 "D01AGNT.spad" 223547 223555 227470 227475) (-193 "CYCLOTOM.spad" 223053 223061 223537 223542) (-192 "CYCLES.spad" 219845 219853 223043 223048) (-191 "CVMP.spad" 219262 219272 219835 219840) (-190 "CTRIGMNP.spad" 217762 217778 219252 219257) (-189 "CTOR.spad" 217453 217461 217752 217757) (-188 "CTORKIND.spad" 217056 217064 217443 217448) (-187 "CTORCAT.spad" 216305 216313 217046 217051) (-186 "CTORCAT.spad" 215552 215562 216295 216300) (-185 "CTORCALL.spad" 215141 215151 215542 215547) (-184 "CSTTOOLS.spad" 214386 214399 215131 215136) (-183 "CRFP.spad" 208110 208123 214376 214381) (-182 "CRCEAST.spad" 207830 207838 208100 208105) (-181 "CRAPACK.spad" 206881 206891 207820 207825) (-180 "CPMATCH.spad" 206385 206400 206806 206811) (-179 "CPIMA.spad" 206090 206109 206375 206380) (-178 "COORDSYS.spad" 201099 201109 206080 206085) (-177 "CONTOUR.spad" 200510 200518 201089 201094) (-176 "CONTFRAC.spad" 196260 196270 200412 200505) (-175 "CONDUIT.spad" 196018 196026 196250 196255) (-174 "COMRING.spad" 195692 195700 195956 196013) (-173 "COMPPROP.spad" 195210 195218 195682 195687) (-172 "COMPLPAT.spad" 194977 194992 195200 195205) (-171 "COMPLEX.spad" 189114 189124 189358 189619) (-170 "COMPLEX2.spad" 188829 188841 189104 189109) (-169 "COMPILER.spad" 188378 188386 188819 188824) (-168 "COMPFACT.spad" 187980 187994 188368 188373) (-167 "COMPCAT.spad" 186052 186062 187714 187975) (-166 "COMPCAT.spad" 183852 183864 185516 185521) (-165 "COMMUPC.spad" 183600 183618 183842 183847) (-164 "COMMONOP.spad" 183133 183141 183590 183595) (-163 "COMM.spad" 182944 182952 183123 183128) (-162 "COMMAAST.spad" 182707 182715 182934 182939) (-161 "COMBOPC.spad" 181622 181630 182697 182702) (-160 "COMBINAT.spad" 180389 180399 181612 181617) (-159 "COMBF.spad" 177771 177787 180379 180384) (-158 "COLOR.spad" 176608 176616 177761 177766) (-157 "COLONAST.spad" 176274 176282 176598 176603) (-156 "CMPLXRT.spad" 175985 176002 176264 176269) (-155 "CLLCTAST.spad" 175647 175655 175975 175980) (-154 "CLIP.spad" 171755 171763 175637 175642) (-153 "CLIF.spad" 170410 170426 171711 171750) (-152 "CLAGG.spad" 166915 166925 170400 170405) (-151 "CLAGG.spad" 163291 163303 166778 166783) (-150 "CINTSLPE.spad" 162622 162635 163281 163286) (-149 "CHVAR.spad" 160760 160782 162612 162617) (-148 "CHARZ.spad" 160675 160683 160740 160755) (-147 "CHARPOL.spad" 160185 160195 160665 160670) (-146 "CHARNZ.spad" 159938 159946 160165 160180) (-145 "CHAR.spad" 157812 157820 159928 159933) (-144 "CFCAT.spad" 157140 157148 157802 157807) (-143 "CDEN.spad" 156336 156350 157130 157135) (-142 "CCLASS.spad" 154485 154493 155747 155786) (-141 "CATEGORY.spad" 153527 153535 154475 154480) (-140 "CATCTOR.spad" 153418 153426 153517 153522) (-139 "CATAST.spad" 153036 153044 153408 153413) (-138 "CASEAST.spad" 152750 152758 153026 153031) (-137 "CARTEN.spad" 148117 148141 152740 152745) (-136 "CARTEN2.spad" 147507 147534 148107 148112) (-135 "CARD.spad" 144802 144810 147481 147502) (-134 "CAPSLAST.spad" 144576 144584 144792 144797) (-133 "CACHSET.spad" 144200 144208 144566 144571) (-132 "CABMON.spad" 143755 143763 144190 144195) (-131 "BYTEORD.spad" 143430 143438 143745 143750) (-130 "BYTE.spad" 142857 142865 143420 143425) (-129 "BYTEBUF.spad" 140716 140724 142026 142053) (-128 "BTREE.spad" 139789 139799 140323 140350) (-127 "BTOURN.spad" 138794 138804 139396 139423) (-126 "BTCAT.spad" 138186 138196 138762 138789) (-125 "BTCAT.spad" 137598 137610 138176 138181) (-124 "BTAGG.spad" 137064 137072 137566 137593) (-123 "BTAGG.spad" 136550 136560 137054 137059) (-122 "BSTREE.spad" 135291 135301 136157 136184) (-121 "BRILL.spad" 133488 133499 135281 135286) (-120 "BRAGG.spad" 132428 132438 133478 133483) (-119 "BRAGG.spad" 131332 131344 132384 132389) (-118 "BPADICRT.spad" 129313 129325 129568 129661) (-117 "BPADIC.spad" 128977 128989 129239 129308) (-116 "BOUNDZRO.spad" 128633 128650 128967 128972) (-115 "BOP.spad" 123815 123823 128623 128628) (-114 "BOP1.spad" 121281 121291 123805 123810) (-113 "BOOLE.spad" 120931 120939 121271 121276) (-112 "BOOLEAN.spad" 120369 120377 120921 120926) (-111 "BMODULE.spad" 120081 120093 120337 120364) (-110 "BITS.spad" 119502 119510 119717 119744) (-109 "BINDING.spad" 118915 118923 119492 119497) (-108 "BINARY.spad" 117026 117034 117382 117475) (-107 "BGAGG.spad" 116231 116241 117006 117021) (-106 "BGAGG.spad" 115444 115456 116221 116226) (-105 "BFUNCT.spad" 115008 115016 115424 115439) (-104 "BEZOUT.spad" 114148 114175 114958 114963) (-103 "BBTREE.spad" 110993 111003 113755 113782) (-102 "BASTYPE.spad" 110665 110673 110983 110988) (-101 "BASTYPE.spad" 110335 110345 110655 110660) (-100 "BALFACT.spad" 109794 109807 110325 110330) (-99 "AUTOMOR.spad" 109245 109254 109774 109789) (-98 "ATTREG.spad" 105968 105975 108997 109240) (-97 "ATTRBUT.spad" 101991 101998 105948 105963) (-96 "ATTRAST.spad" 101708 101715 101981 101986) (-95 "ATRIG.spad" 101178 101185 101698 101703) (-94 "ATRIG.spad" 100646 100655 101168 101173) (-93 "ASTCAT.spad" 100550 100557 100636 100641) (-92 "ASTCAT.spad" 100452 100461 100540 100545) (-91 "ASTACK.spad" 99791 99800 100059 100086) (-90 "ASSOCEQ.spad" 98617 98628 99747 99752) (-89 "ASP9.spad" 97698 97711 98607 98612) (-88 "ASP8.spad" 96741 96754 97688 97693) (-87 "ASP80.spad" 96063 96076 96731 96736) (-86 "ASP7.spad" 95223 95236 96053 96058) (-85 "ASP78.spad" 94674 94687 95213 95218) (-84 "ASP77.spad" 94043 94056 94664 94669) (-83 "ASP74.spad" 93135 93148 94033 94038) (-82 "ASP73.spad" 92406 92419 93125 93130) (-81 "ASP6.spad" 91273 91286 92396 92401) (-80 "ASP55.spad" 89782 89795 91263 91268) (-79 "ASP50.spad" 87599 87612 89772 89777) (-78 "ASP4.spad" 86894 86907 87589 87594) (-77 "ASP49.spad" 85893 85906 86884 86889) (-76 "ASP42.spad" 84300 84339 85883 85888) (-75 "ASP41.spad" 82879 82918 84290 84295) (-74 "ASP35.spad" 81867 81880 82869 82874) (-73 "ASP34.spad" 81168 81181 81857 81862) (-72 "ASP33.spad" 80728 80741 81158 81163) (-71 "ASP31.spad" 79868 79881 80718 80723) (-70 "ASP30.spad" 78760 78773 79858 79863) (-69 "ASP29.spad" 78226 78239 78750 78755) (-68 "ASP28.spad" 69499 69512 78216 78221) (-67 "ASP27.spad" 68396 68409 69489 69494) (-66 "ASP24.spad" 67483 67496 68386 68391) (-65 "ASP20.spad" 66947 66960 67473 67478) (-64 "ASP1.spad" 66328 66341 66937 66942) (-63 "ASP19.spad" 61014 61027 66318 66323) (-62 "ASP12.spad" 60428 60441 61004 61009) (-61 "ASP10.spad" 59699 59712 60418 60423) (-60 "ARRAY2.spad" 59059 59068 59306 59333) (-59 "ARRAY1.spad" 57896 57905 58242 58269) (-58 "ARRAY12.spad" 56609 56620 57886 57891) (-57 "ARR2CAT.spad" 52383 52404 56577 56604) (-56 "ARR2CAT.spad" 48177 48200 52373 52378) (-55 "ARITY.spad" 47549 47556 48167 48172) (-54 "APPRULE.spad" 46809 46831 47539 47544) (-53 "APPLYORE.spad" 46428 46441 46799 46804) (-52 "ANY.spad" 45287 45294 46418 46423) (-51 "ANY1.spad" 44358 44367 45277 45282) (-50 "ANTISYM.spad" 42803 42819 44338 44353) (-49 "ANON.spad" 42496 42503 42793 42798) (-48 "AN.spad" 40805 40812 42312 42405) (-47 "AMR.spad" 38990 39001 40703 40800) (-46 "AMR.spad" 37012 37025 38727 38732) (-45 "ALIST.spad" 34424 34445 34774 34801) (-44 "ALGSC.spad" 33559 33585 34296 34349) (-43 "ALGPKG.spad" 29342 29353 33515 33520) (-42 "ALGMFACT.spad" 28535 28549 29332 29337) (-41 "ALGMANIP.spad" 26009 26024 28368 28373) (-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))
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