diff options
Diffstat (limited to 'src/share/algebra/browse.daase')
| -rw-r--r-- | src/share/algebra/browse.daase | 38 |
1 files changed, 19 insertions, 19 deletions
diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase index 8ad35437..56fb3245 100644 --- a/src/share/algebra/browse.daase +++ b/src/share/algebra/browse.daase @@ -1,5 +1,5 @@ -(2282879 . 3452194356) +(2282845 . 3452261758) (-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 -2313 UP UPUP -4079) +(-40 -2313 UP UPUP -3807) ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}"))) ((-4400 |has| (-407 |#2|) (-363)) (-4405 |has| (-407 |#2|) (-363)) (-4399 |has| (-407 |#2|) (-363)) ((-4409 "*") . T) (-4401 . T) (-4402 . T) (-4404 . T)) ((|HasCategory| (-407 |#2|) (QUOTE (-145))) (|HasCategory| (-407 |#2|) (QUOTE (-147))) (|HasCategory| (-407 |#2|) (QUOTE (-349))) (-2733 (|HasCategory| (-407 |#2|) (QUOTE (-363))) (|HasCategory| (-407 |#2|) (QUOTE (-349)))) (|HasCategory| (-407 |#2|) (QUOTE (-363))) (|HasCategory| (-407 |#2|) (QUOTE (-368))) (-2733 (-12 (|HasCategory| (-407 |#2|) (QUOTE (-233))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (|HasCategory| (-407 |#2|) (QUOTE (-349)))) (-2733 (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-349))))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -637) (QUOTE (-564)))) (-2733 (|HasCategory| (-407 |#2|) (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| (-407 |#2|) (LIST (QUOTE -1034) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-368))) (-12 (|HasCategory| (-407 |#2|) (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasCategory| (-407 |#2|) (QUOTE (-363)))) (-12 (|HasCategory| (-407 |#2|) (QUOTE (-233))) (|HasCategory| (-407 |#2|) (QUOTE (-363))))) @@ -383,7 +383,7 @@ NIL (-113 A) ((|constructor| (NIL "This package exports functions to set some commonly used properties of operators,{} including properties which contain functions.")) (|constantOpIfCan| (((|Union| |#1| "failed") (|BasicOperator|)) "\\spad{constantOpIfCan(op)} returns \\spad{a} if \\spad{op} is the constant nullary operator always returning \\spad{a},{} \"failed\" otherwise.")) (|constantOperator| (((|BasicOperator|) |#1|) "\\spad{constantOperator(a)} returns a nullary operator op such that \\spad{op()} always evaluate to \\spad{a}.")) (|derivative| (((|Union| (|List| (|Mapping| |#1| (|List| |#1|))) "failed") (|BasicOperator|)) "\\spad{derivative(op)} returns the value of the \"\\%diff\" property of \\spad{op} if it has one,{} and \"failed\" otherwise.") (((|BasicOperator|) (|BasicOperator|) (|Mapping| |#1| |#1|)) "\\spad{derivative(op,{} foo)} attaches foo as the \"\\%diff\" property of \\spad{op}. If \\spad{op} has an \"\\%diff\" property \\spad{f},{} then applying a derivation \\spad{D} to \\spad{op}(a) returns \\spad{f(a) * D(a)}. Argument \\spad{op} must be unary.") (((|BasicOperator|) (|BasicOperator|) (|List| (|Mapping| |#1| (|List| |#1|)))) "\\spad{derivative(op,{} [foo1,{}...,{}foon])} attaches [foo1,{}...,{}foon] as the \"\\%diff\" property of \\spad{op}. If \\spad{op} has an \"\\%diff\" property \\spad{[f1,{}...,{}fn]} then applying a derivation \\spad{D} to \\spad{op(a1,{}...,{}an)} returns \\spad{f1(a1,{}...,{}an) * D(a1) + ... + fn(a1,{}...,{}an) * D(an)}.")) (|evaluate| (((|Union| (|Mapping| |#1| (|List| |#1|)) "failed") (|BasicOperator|)) "\\spad{evaluate(op)} returns the value of the \"\\%eval\" property of \\spad{op} if it has one,{} and \"failed\" otherwise.") (((|BasicOperator|) (|BasicOperator|) (|Mapping| |#1| |#1|)) "\\spad{evaluate(op,{} foo)} attaches foo as the \"\\%eval\" property of \\spad{op}. If \\spad{op} has an \"\\%eval\" property \\spad{f},{} then applying \\spad{op} to a returns the result of \\spad{f(a)}. Argument \\spad{op} must be unary.") (((|BasicOperator|) (|BasicOperator|) (|Mapping| |#1| (|List| |#1|))) "\\spad{evaluate(op,{} foo)} attaches foo as the \"\\%eval\" property of \\spad{op}. If \\spad{op} has an \"\\%eval\" property \\spad{f},{} then applying \\spad{op} to \\spad{(a1,{}...,{}an)} returns the result of \\spad{f(a1,{}...,{}an)}.") (((|Union| |#1| "failed") (|BasicOperator|) (|List| |#1|)) "\\spad{evaluate(op,{} [a1,{}...,{}an])} checks if \\spad{op} has an \"\\%eval\" property \\spad{f}. If it has,{} then \\spad{f(a1,{}...,{}an)} is returned,{} and \"failed\" otherwise."))) NIL -((|HasCategory| |#1| (QUOTE (-846)))) +NIL (-114) ((|constructor| (NIL "A basic operator is an object that can be applied to a list of arguments from a set,{} the result being a kernel over that set.")) (|setProperties| (($ $ (|AssociationList| (|String|) (|None|))) "\\spad{setProperties(op,{} l)} sets the property list of \\spad{op} to \\spad{l}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|setProperty| (($ $ (|Identifier|) (|None|)) "\\spad{setProperty(op,{} p,{} v)} attaches property \\spad{p} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|) (|None|)) "\\spad{setProperty(op,{} s,{} v)} attaches property \\spad{s} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|property| (((|Maybe| (|None|)) $ (|Identifier|)) "\\spad{property(op,{} p)} returns the value of property \\spad{p} if it is attached to \\spad{op},{} otherwise \\spad{nothing}.") (((|Union| (|None|) "failed") $ (|String|)) "\\spad{property(op,{} s)} returns the value of property \\spad{s} if it is attached to \\spad{op},{} and \"failed\" otherwise.")) (|deleteProperty!| (($ $ (|Identifier|)) "\\spad{deleteProperty!(op,{} p)} unattaches property \\spad{p} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|)) "\\spad{deleteProperty!(op,{} s)} unattaches property \\spad{s} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|assert| (($ $ (|Identifier|)) "\\spad{assert(op,{} p)} attaches property \\spad{p} to \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|has?| (((|Boolean|) $ (|Identifier|)) "\\spad{has?(op,{}p)} tests if property \\spad{s} is attached to \\spad{op}.")) (|is?| (((|Boolean|) $ (|Symbol|)) "\\spad{is?(op,{} s)} tests if the name of \\spad{op} is \\spad{s}.")) (|input| (((|Union| (|Mapping| (|InputForm|) (|List| (|InputForm|))) "failed") $) "\\spad{input(op)} returns the \"\\%input\" property of \\spad{op} if it has one attached,{} \"failed\" otherwise.") (($ $ (|Mapping| (|InputForm|) (|List| (|InputForm|)))) "\\spad{input(op,{} foo)} attaches foo as the \"\\%input\" property of \\spad{op}. If \\spad{op} has a \"\\%input\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to InputForm as \\spad{f(a1,{}...,{}an)}.")) (|display| (($ $ (|Mapping| (|OutputForm|) (|OutputForm|))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a)} gets converted to OutputForm as \\spad{f(a)}. Argument \\spad{op} must be unary.") (($ $ (|Mapping| (|OutputForm|) (|List| (|OutputForm|)))) "\\spad{display(op,{} foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a1,{}...,{}an)} gets converted to OutputForm as \\spad{f(a1,{}...,{}an)}.") (((|Union| (|Mapping| (|OutputForm|) (|List| (|OutputForm|))) "failed") $) "\\spad{display(op)} returns the \"\\%display\" property of \\spad{op} if it has one attached,{} and \"failed\" otherwise.")) (|comparison| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{comparison(op,{} foo?)} attaches foo? as the \"\\%less?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has a \"\\%less?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether \\spad{op1 < op2}.")) (|equality| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{equality(op,{} foo?)} attaches foo? as the \"\\%equal?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has an \"\\%equal?\" property \\spad{f},{} then \\spad{f(op1,{} op2)} is called to decide whether op1 and op2 should be considered equal.")) (|weight| (($ $ (|NonNegativeInteger|)) "\\spad{weight(op,{} n)} attaches the weight \\spad{n} to \\spad{op}.") (((|NonNegativeInteger|) $) "\\spad{weight(op)} returns the weight attached to \\spad{op}.")) (|nary?| (((|Boolean|) $) "\\spad{nary?(op)} tests if \\spad{op} has arbitrary arity.")) (|unary?| (((|Boolean|) $) "\\spad{unary?(op)} tests if \\spad{op} is unary.")) (|nullary?| (((|Boolean|) $) "\\spad{nullary?(op)} tests if \\spad{op} is nullary.")) (|operator| (($ (|Symbol|) (|Arity|)) "\\spad{operator(f,{} a)} makes \\spad{f} into an operator of arity \\spad{a}.") (($ (|Symbol|) (|NonNegativeInteger|)) "\\spad{operator(f,{} n)} makes \\spad{f} into an \\spad{n}-ary operator.") (($ (|Symbol|)) "\\spad{operator(f)} makes \\spad{f} into an operator with arbitrary arity.")) (|copy| (($ $) "\\spad{copy(op)} returns a copy of \\spad{op}.")) (|properties| (((|AssociationList| (|String|) (|None|)) $) "\\spad{properties(op)} returns the list of all the properties currently attached to \\spad{op}."))) NIL @@ -1084,7 +1084,7 @@ NIL ((|constructor| (NIL "An eltable aggregate is one which can be viewed as a function. For example,{} the list \\axiom{[1,{}7,{}4]} can applied to 0,{}1,{} and 2 respectively will return the integers 1,{}7,{} and 4; thus this list may be viewed as mapping 0 to 1,{} 1 to 7 and 2 to 4. In general,{} an aggregate can map members of a domain {\\em Dom} to an image domain {\\em Im}.")) (|qsetelt!| ((|#2| $ |#1| |#2|) "\\spad{qsetelt!(u,{}x,{}y)} sets the image of \\axiom{\\spad{x}} to be \\axiom{\\spad{y}} under \\axiom{\\spad{u}},{} without checking that \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}}. If such a check is required use the function \\axiom{setelt}.")) (|setelt| ((|#2| $ |#1| |#2|) "\\spad{setelt(u,{}x,{}y)} sets the image of \\spad{x} to be \\spad{y} under \\spad{u},{} assuming \\spad{x} is in the domain of \\spad{u}. Error: if \\spad{x} is not in the domain of \\spad{u}.")) (|qelt| ((|#2| $ |#1|) "\\spad{qelt(u,{} x)} applies \\axiom{\\spad{u}} to \\axiom{\\spad{x}} without checking whether \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}}. If \\axiom{\\spad{x}} is not in the domain of \\axiom{\\spad{u}} a memory-access violation may occur. If a check on whether \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}} is required,{} use the function \\axiom{elt}.")) (|elt| ((|#2| $ |#1| |#2|) "\\spad{elt(u,{} x,{} y)} applies \\spad{u} to \\spad{x} if \\spad{x} is in the domain of \\spad{u},{} and returns \\spad{y} otherwise. For example,{} if \\spad{u} is a polynomial in \\axiom{\\spad{x}} over the rationals,{} \\axiom{elt(\\spad{u},{}\\spad{n},{}0)} may define the coefficient of \\axiom{\\spad{x}} to the power \\spad{n},{} returning 0 when \\spad{n} is out of range."))) NIL NIL -(-289 S R |Mod| -2713 -3600 |exactQuo|) +(-289 S R |Mod| -3379 -2994 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{ModularRing},{} \\spadtype{ModularField}")) (|elt| ((|#2| $ |#2|) "\\spad{elt(x,{}r)} or \\spad{x}.\\spad{r} \\undocumented")) (|inv| (($ $) "\\spad{inv(x)} \\undocumented")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} \\undocumented")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,{}y)} \\undocumented")) (|reduce| (($ |#2| |#3|) "\\spad{reduce(r,{}m)} \\undocumented")) (|coerce| ((|#2| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#3| $) "\\spad{modulus(x)} \\undocumented"))) ((-4400 . T) ((-4409 "*") . T) (-4401 . T) (-4402 . T) (-4404 . T)) NIL @@ -1207,7 +1207,7 @@ NIL (-319 FE |var| |cen|) ((|constructor| (NIL "ExponentialOfUnivariatePuiseuxSeries is a domain used to represent essential singularities of functions. An object in this domain is a function of the form \\spad{exp(f(x))},{} where \\spad{f(x)} is a Puiseux series with no terms of non-negative degree. Objects are ordered according to order of singularity,{} with functions which tend more rapidly to zero or infinity considered to be larger. Thus,{} if \\spad{order(f(x)) < order(g(x))},{} \\spadignore{i.e.} the first non-zero term of \\spad{f(x)} has lower degree than the first non-zero term of \\spad{g(x)},{} then \\spad{exp(f(x)) > exp(g(x))}. If \\spad{order(f(x)) = order(g(x))},{} then the ordering is essentially random. This domain is used in computing limits involving functions with essential singularities.")) (|exponentialOrder| (((|Fraction| (|Integer|)) $) "\\spad{exponentialOrder(exp(c * x **(-n) + ...))} returns \\spad{-n}. exponentialOrder(0) returns \\spad{0}.")) (|exponent| (((|UnivariatePuiseuxSeries| |#1| |#2| |#3|) $) "\\spad{exponent(exp(f(x)))} returns \\spad{f(x)}")) (|exponential| (($ (|UnivariatePuiseuxSeries| |#1| |#2| |#3|)) "\\spad{exponential(f(x))} returns \\spad{exp(f(x))}. Note: the function does NOT check that \\spad{f(x)} has no non-negative terms."))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4405 |has| |#1| (-363)) (-4399 |has| |#1| (-363)) (-4401 . T) (-4402 . T) (-4404 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -1559) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -4284) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) (-320 M) ((|constructor| (NIL "computes various functions on factored arguments.")) (|log| (((|List| (|Record| (|:| |coef| (|NonNegativeInteger|)) (|:| |logand| |#1|))) (|Factored| |#1|)) "\\spad{log(f)} returns \\spad{[(a1,{}b1),{}...,{}(am,{}bm)]} such that the logarithm of \\spad{f} is equal to \\spad{a1*log(b1) + ... + am*log(bm)}.")) (|nthRoot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#1|) (|:| |radicand| (|List| |#1|))) (|Factored| |#1|) (|NonNegativeInteger|)) "\\spad{nthRoot(f,{} n)} returns \\spad{(p,{} r,{} [r1,{}...,{}rm])} such that the \\spad{n}th-root of \\spad{f} is equal to \\spad{r * \\spad{p}th-root(r1 * ... * rm)},{} where \\spad{r1},{}...,{}\\spad{rm} are distinct factors of \\spad{f},{} each of which has an exponent smaller than \\spad{p} in \\spad{f}."))) NIL @@ -1827,7 +1827,7 @@ NIL (-474 |Coef| |var| |cen|) ((|constructor| (NIL "This is a category of univariate Puiseux series constructed from univariate Laurent series. A Puiseux series is represented by a pair \\spad{[r,{}f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x\\^r)}.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|UnivariatePuiseuxSeries| |#1| |#2| |#3|)) "\\spad{coerce(f)} converts a Puiseux series to a general power series.") (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Puiseux series."))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4405 |has| |#1| (-363)) (-4399 |has| |#1| (-363)) (-4401 . T) (-4402 . T) (-4404 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -1559) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -4284) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) (-475 |Key| |Entry| |Tbl| |dent|) ((|constructor| (NIL "A sparse table has a default entry,{} which is returned if no other value has been explicitly stored for a key."))) ((-4408 . T)) @@ -2544,7 +2544,7 @@ 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)))) -(-654 A -3941) +(-654 A -1650) ((|constructor| (NIL "\\spad{LinearOrdinaryDifferentialOperator} defines a ring of differential operators with coefficients in a ring A with a given derivation. Multiplication of operators corresponds to functional composition: \\indented{4}{\\spad{(L1 * L2).(f) = L1 L2 f}}"))) ((-4401 . T) (-4402 . T) (-4404 . T)) ((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (LIST (QUOTE -1034) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (LIST (QUOTE -1034) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-452))) (|HasCategory| |#1| (QUOTE (-363)))) @@ -2756,7 +2756,7 @@ 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 -(-707 R |Mod| -2713 -3600 |exactQuo|) +(-707 R |Mod| -3379 -2994 |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| $) "\\spad{modulus(x)} \\undocumented"))) ((-4399 . T) (-4405 . T) (-4400 . T) ((-4409 "*") . T) (-4401 . T) (-4402 . T) (-4404 . T)) NIL @@ -2772,7 +2772,7 @@ NIL ((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#1| (|FreeGroup| (|BasicOperator|))) "\\spad{makeop should} be local but conditional")) (|opeval| ((|#2| (|BasicOperator|) |#2|) "\\spad{opeval should} be local but conditional")) (** (($ $ (|Integer|)) "\\spad{op**n} \\undocumented") (($ (|BasicOperator|) (|Integer|)) "\\spad{op**n} \\undocumented")) (|evaluateInverse| (($ $ (|Mapping| |#2| |#2|)) "\\spad{evaluateInverse(x,{}f)} \\undocumented")) (|evaluate| (($ $ (|Mapping| |#2| |#2|)) "\\spad{evaluate(f,{} u +-> g u)} attaches the map \\spad{g} to \\spad{f}. \\spad{f} must be a basic operator \\spad{g} MUST be additive,{} \\spadignore{i.e.} \\spad{g(a + b) = g(a) + g(b)} for any \\spad{a},{} \\spad{b} in \\spad{M}. This implies that \\spad{g(n a) = n g(a)} for any \\spad{a} in \\spad{M} and integer \\spad{n > 0}.")) (|conjug| ((|#1| |#1|) "\\spad{conjug(x)}should be local but conditional")) (|adjoint| (($ $ $) "\\spad{adjoint(op1,{} op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) ((-4402 |has| |#1| (-172)) (-4401 |has| |#1| (-172)) (-4404 . T)) ((|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147)))) -(-711 R |Mod| -2713 -3600 |exactQuo|) +(-711 R |Mod| -3379 -2994 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\spad{inv(x)} \\undocumented")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} \\undocumented")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,{}y)} \\undocumented")) (|reduce| (($ |#1| |#2|) "\\spad{reduce(r,{}m)} \\undocumented")) (|coerce| ((|#1| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#2| $) "\\spad{modulus(x)} \\undocumented"))) ((-4404 . T)) NIL @@ -4575,7 +4575,7 @@ NIL (-1161 |Coef| |var| |cen|) ((|constructor| (NIL "Sparse Laurent series in one variable \\indented{2}{\\spadtype{SparseUnivariateLaurentSeries} is a domain representing Laurent} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariateLaurentSeries(Integer,{}x,{}3)} represents Laurent} \\indented{2}{series in \\spad{(x - 3)} with integer coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Laurent series."))) (((-4409 "*") -2733 (-2364 (|has| |#1| (-363)) (|has| (-1168 |#1| |#2| |#3|) (-816))) (|has| |#1| (-172)) (-2364 (|has| |#1| (-363)) (|has| (-1168 |#1| |#2| |#3|) (-905)))) (-4400 -2733 (-2364 (|has| |#1| (-363)) (|has| (-1168 |#1| |#2| |#3|) (-816))) (|has| |#1| (-556)) (-2364 (|has| |#1| (-363)) (|has| (-1168 |#1| |#2| |#3|) (-905)))) (-4405 |has| |#1| (-363)) (-4399 |has| |#1| (-363)) (-4401 . T) (-4402 . T) (-4404 . 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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 @@ -4903,11 +4903,11 @@ NIL (-1243 |Coef| ULS) ((|constructor| (NIL "This package enables one to construct a univariate Puiseux series domain from a univariate Laurent series domain. 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T)) -((|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -1559) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) +((|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -4284) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-1244 |Coef| |var| |cen|) ((|constructor| (NIL "Dense Puiseux series in one variable \\indented{2}{\\spadtype{UnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{UnivariatePuiseuxSeries(Integer,{}x,{}3)} represents Puiseux series in} \\indented{2}{\\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}."))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4405 |has| |#1| (-363)) (-4399 |has| |#1| (-363)) (-4401 . T) (-4402 . T) (-4404 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -1559) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (|HasCategory| |#1| (QUOTE (-172))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564))) (|devaluate| |#1|)))) (|HasCategory| (-407 (-564)) (QUOTE (-1106))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-2733 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-556)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -407) (QUOTE (-564)))))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -4284) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) (-1245 R FE |var| |cen|) ((|constructor| (NIL "UnivariatePuiseuxSeriesWithExponentialSingularity is a domain used to represent functions with essential singularities. Objects in this domain are sums,{} where each term in the sum is a univariate Puiseux series times the exponential of a univariate Puiseux series. Thus,{} the elements of this domain are sums of expressions of the form \\spad{g(x) * exp(f(x))},{} where \\spad{g}(\\spad{x}) is a univariate Puiseux series and \\spad{f}(\\spad{x}) is a univariate Puiseux series with no terms of non-negative degree.")) (|dominantTerm| (((|Union| (|Record| (|:| |%term| (|Record| (|:| |%coef| (|UnivariatePuiseuxSeries| |#2| |#3| |#4|)) (|:| |%expon| (|ExponentialOfUnivariatePuiseuxSeries| |#2| |#3| |#4|)) (|:| |%expTerms| (|List| (|Record| (|:| |k| (|Fraction| (|Integer|))) (|:| |c| |#2|)))))) (|:| |%type| (|String|))) "failed") $) "\\spad{dominantTerm(f(var))} returns the term that dominates the limiting behavior of \\spad{f(var)} as \\spad{var -> cen+} together with a \\spadtype{String} which briefly describes that behavior. The value of the \\spadtype{String} will be \\spad{\"zero\"} (resp. \\spad{\"infinity\"}) if the term tends to zero (resp. infinity) exponentially and will \\spad{\"series\"} if the term is a Puiseux series.")) (|limitPlus| (((|Union| (|OrderedCompletion| |#2|) "failed") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> cen+,{}f(var))}."))) (((-4409 "*") |has| (-1244 |#2| |#3| |#4|) (-172)) (-4400 |has| (-1244 |#2| |#3| |#4|) (-556)) (-4401 . T) (-4402 . T) (-4404 . T)) @@ -4927,7 +4927,7 @@ NIL (-1249 S |Coef|) ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (** (($ $ |#2|) "\\spad{f(x) ** a} computes a power of a power series. When the coefficient ring is a field,{} we may raise a series to an exponent from the coefficient ring provided that the constant coefficient of the series is 1.")) (|polynomial| (((|Polynomial| |#2|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k1,{}k2)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (((|Polynomial| |#2|) $ (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|multiplyCoefficients| (($ (|Mapping| |#2| (|Integer|)) $) "\\spad{multiplyCoefficients(f,{}sum(n = 0..infinity,{}a[n] * x**n))} returns \\spad{sum(n = 0..infinity,{}f(n) * a[n] * x**n)}. This function is used when Laurent series are represented by a Taylor series and an order.")) (|quoByVar| (($ $) "\\spad{quoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...} Thus,{} this function substracts the constant term and divides by the series variable. This function is used when Laurent series are represented by a Taylor series and an order.")) (|coefficients| (((|Stream| |#2|) $) "\\spad{coefficients(a0 + a1 x + a2 x**2 + ...)} returns a stream of coefficients: \\spad{[a0,{}a1,{}a2,{}...]}. The entries of the stream may be zero.")) (|series| (($ (|Stream| |#2|)) "\\spad{series([a0,{}a1,{}a2,{}...])} is the Taylor series \\spad{a0 + a1 x + a2 x**2 + ...}.") (($ (|Stream| (|Record| (|:| |k| (|NonNegativeInteger|)) (|:| |c| |#2|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents."))) NIL -((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-955))) (|HasCategory| |#2| (QUOTE (-1194))) (|HasSignature| |#2| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -1559) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1170))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-363)))) +((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#2| (QUOTE (-955))) (|HasCategory| |#2| (QUOTE (-1194))) (|HasSignature| |#2| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -4284) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1170))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#2| (QUOTE (-363)))) (-1250 |Coef|) ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $ (|Symbol|)) "\\spad{integrate(f(x),{}y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (** (($ $ |#1|) "\\spad{f(x) ** a} computes a power of a power series. When the coefficient ring is a field,{} we may raise a series to an exponent from the coefficient ring provided that the constant coefficient of the series is 1.")) (|polynomial| (((|Polynomial| |#1|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k1,{}k2)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (((|Polynomial| |#1|) $ (|NonNegativeInteger|)) "\\spad{polynomial(f,{}k)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|multiplyCoefficients| (($ (|Mapping| |#1| (|Integer|)) $) "\\spad{multiplyCoefficients(f,{}sum(n = 0..infinity,{}a[n] * x**n))} returns \\spad{sum(n = 0..infinity,{}f(n) * a[n] * x**n)}. This function is used when Laurent series are represented by a Taylor series and an order.")) (|quoByVar| (($ $) "\\spad{quoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...} Thus,{} this function substracts the constant term and divides by the series variable. This function is used when Laurent series are represented by a Taylor series and an order.")) (|coefficients| (((|Stream| |#1|) $) "\\spad{coefficients(a0 + a1 x + a2 x**2 + ...)} returns a stream of coefficients: \\spad{[a0,{}a1,{}a2,{}...]}. The entries of the stream may be zero.")) (|series| (($ (|Stream| |#1|)) "\\spad{series([a0,{}a1,{}a2,{}...])} is the Taylor series \\spad{a0 + a1 x + a2 x**2 + ...}.") (($ (|Stream| (|Record| (|:| |k| (|NonNegativeInteger|)) (|:| |c| |#1|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents."))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4401 . T) (-4402 . T) (-4404 . T)) @@ -4935,7 +4935,7 @@ NIL (-1251 |Coef| |var| |cen|) ((|constructor| (NIL "Dense Taylor series in one variable \\spadtype{UnivariateTaylorSeries} is a domain representing Taylor series in one variable with coefficients in an arbitrary ring. The parameters of the type specify the coefficient ring,{} the power series variable,{} and the center of the power series expansion. For example,{} \\spadtype{UnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),{}x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|invmultisect| (($ (|Integer|) (|Integer|) $) "\\spad{invmultisect(a,{}b,{}f(x))} substitutes \\spad{x^((a+b)*n)} \\indented{1}{for \\spad{x^n} and multiples by \\spad{x^b}.}")) (|multisect| (($ (|Integer|) (|Integer|) $) "\\spad{multisect(a,{}b,{}f(x))} selects the coefficients of \\indented{1}{\\spad{x^((a+b)*n+a)},{} and changes this monomial to \\spad{x^n}.}")) (|revert| (($ $) "\\spad{revert(f(x))} returns a Taylor series \\spad{g(x)} such that \\spad{f(g(x)) = g(f(x)) = x}. Series \\spad{f(x)} should have constant coefficient 0 and 1st order coefficient 1.")) (|generalLambert| (($ $ (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),{}a,{}d)} returns \\spad{f(x^a) + f(x^(a + d)) + \\indented{1}{f(x^(a + 2 d)) + ... }. \\spad{f(x)} should have zero constant} \\indented{1}{coefficient and \\spad{a} and \\spad{d} should be positive.}")) (|evenlambert| (($ $) "\\spad{evenlambert(f(x))} returns \\spad{f(x^2) + f(x^4) + f(x^6) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,{}f(x^(2*n))) = exp(log(evenlambert(f(x))))}.}")) (|oddlambert| (($ $) "\\spad{oddlambert(f(x))} returns \\spad{f(x) + f(x^3) + f(x^5) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,{}f(x^(2*n-1)))=exp(log(oddlambert(f(x))))}.}")) (|lambert| (($ $) "\\spad{lambert(f(x))} returns \\spad{f(x) + f(x^2) + f(x^3) + ...}. \\indented{1}{This function is used for computing infinite products.} \\indented{1}{\\spad{f(x)} should have zero constant coefficient.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n = 1..infinity,{}f(x^n)) = exp(log(lambert(f(x))))}.}")) (|lagrange| (($ $) "\\spad{lagrange(g(x))} produces the Taylor series for \\spad{f(x)} \\indented{1}{where \\spad{f(x)} is implicitly defined as \\spad{f(x) = x*g(f(x))}.}")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} computes the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,{}k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) (((-4409 "*") |has| |#1| (-172)) (-4400 |has| |#1| (-556)) (-4401 . T) (-4402 . T) (-4404 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|)))) (|HasCategory| (-767) (QUOTE (-1106))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -1559) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasCategory| |#1| (QUOTE (-556))) (-2733 (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-556)))) (|HasCategory| |#1| (QUOTE (-172))) (|HasCategory| |#1| (QUOTE (-145))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (LIST (QUOTE -896) (QUOTE (-1170)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-767)) (|devaluate| |#1|)))) (|HasCategory| (-767) (QUOTE (-1106))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasSignature| |#1| (LIST (QUOTE -2326) (LIST (|devaluate| |#1|) (QUOTE (-1170)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-767))))) (|HasCategory| |#1| (QUOTE (-363))) (-2733 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-564)))) (|HasCategory| |#1| (QUOTE (-955))) (|HasCategory| |#1| (QUOTE (-1194))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -407) (QUOTE (-564))))) (|HasSignature| |#1| (LIST (QUOTE -4284) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1170))))) (|HasSignature| |#1| (LIST (QUOTE -3702) (LIST (LIST (QUOTE -641) (QUOTE (-1170))) (|devaluate| |#1|))))))) (-1252 |Coef| UTS) ((|constructor| (NIL "\\indented{1}{This package provides Taylor series solutions to regular} linear or non-linear ordinary differential equations of arbitrary order.")) (|mpsode| (((|List| |#2|) (|List| |#1|) (|List| (|Mapping| |#2| (|List| |#2|)))) "\\spad{mpsode(r,{}f)} solves the system of differential equations \\spad{dy[i]/dx =f[i] [x,{}y[1],{}y[2],{}...,{}y[n]]},{} \\spad{y[i](a) = r[i]} for \\spad{i} in 1..\\spad{n}.")) (|ode| ((|#2| (|Mapping| |#2| (|List| |#2|)) (|List| |#1|)) "\\spad{ode(f,{}cl)} is the solution to \\spad{y<n>=f(y,{}y',{}..,{}y<n-1>)} such that \\spad{y<i>(a) = cl.i} for \\spad{i} in 1..\\spad{n}.")) (|ode2| ((|#2| (|Mapping| |#2| |#2| |#2|) |#1| |#1|) "\\spad{ode2(f,{}c0,{}c1)} is the solution to \\spad{y'' = f(y,{}y')} such that \\spad{y(a) = c0} and \\spad{y'(a) = c1}.")) (|ode1| ((|#2| (|Mapping| |#2| |#2|) |#1|) "\\spad{ode1(f,{}c)} is the solution to \\spad{y' = f(y)} such that \\spad{y(a) = c}.")) (|fixedPointExquo| ((|#2| |#2| |#2|) "\\spad{fixedPointExquo(f,{}g)} computes the exact quotient of \\spad{f} and \\spad{g} using a fixed point computation.")) (|stFuncN| (((|Mapping| (|Stream| |#1|) (|List| (|Stream| |#1|))) (|Mapping| |#2| (|List| |#2|))) "\\spad{stFuncN(f)} is a local function xported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc2| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2| |#2|)) "\\spad{stFunc2(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc1| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2|)) "\\spad{stFunc1(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user."))) NIL @@ -5096,4 +5096,4 @@ NIL NIL NIL NIL -((-3 NIL 2282859 2282864 2282869 2282874) (-2 NIL 2282839 2282844 2282849 2282854) (-1 NIL 2282819 2282824 2282829 2282834) (0 NIL 2282799 2282804 2282809 2282814) (-1287 "ZMOD.spad" 2282608 2282621 2282737 2282794) (-1286 "ZLINDEP.spad" 2281652 2281663 2282598 2282603) (-1285 "ZDSOLVE.spad" 2271501 2271523 2281642 2281647) (-1284 "YSTREAM.spad" 2270994 2271005 2271491 2271496) (-1283 "XRPOLY.spad" 2270214 2270234 2270850 2270919) (-1282 "XPR.spad" 2268005 2268018 2269932 2270031) (-1281 "XPOLY.spad" 2267560 2267571 2267861 2267930) (-1280 "XPOLYC.spad" 2266877 2266893 2267486 2267555) (-1279 "XPBWPOLY.spad" 2265314 2265334 2266657 2266726) (-1278 "XF.spad" 2263775 2263790 2265216 2265309) (-1277 "XF.spad" 2262216 2262233 2263659 2263664) (-1276 "XFALG.spad" 2259240 2259256 2262142 2262211) (-1275 "XEXPPKG.spad" 2258491 2258517 2259230 2259235) (-1274 "XDPOLY.spad" 2258105 2258121 2258347 2258416) (-1273 "XALG.spad" 2257765 2257776 2258061 2258100) (-1272 "WUTSET.spad" 2253604 2253621 2257411 2257438) (-1271 "WP.spad" 2252803 2252847 2253462 2253529) (-1270 "WHILEAST.spad" 2252601 2252610 2252793 2252798) (-1269 "WHEREAST.spad" 2252272 2252281 2252591 2252596) (-1268 "WFFINTBS.spad" 2249835 2249857 2252262 2252267) (-1267 "WEIER.spad" 2248049 2248060 2249825 2249830) (-1266 "VSPACE.spad" 2247722 2247733 2248017 2248044) (-1265 "VSPACE.spad" 2247415 2247428 2247712 2247717) (-1264 "VOID.spad" 2247092 2247101 2247405 2247410) (-1263 "VIEW.spad" 2244714 2244723 2247082 2247087) (-1262 "VIEWDEF.spad" 2239911 2239920 2244704 2244709) (-1261 "VIEW3D.spad" 2223746 2223755 2239901 2239906) (-1260 "VIEW2D.spad" 2211483 2211492 2223736 2223741) (-1259 "VECTOR.spad" 2210158 2210169 2210409 2210436) (-1258 "VECTOR2.spad" 2208785 2208798 2210148 2210153) (-1257 "VECTCAT.spad" 2206685 2206696 2208753 2208780) (-1256 "VECTCAT.spad" 2204393 2204406 2206463 2206468) (-1255 "VARIABLE.spad" 2204173 2204188 2204383 2204388) (-1254 "UTYPE.spad" 2203817 2203826 2204163 2204168) (-1253 "UTSODETL.spad" 2203110 2203134 2203773 2203778) (-1252 "UTSODE.spad" 2201298 2201318 2203100 2203105) (-1251 "UTS.spad" 2196087 2196115 2199765 2199862) (-1250 "UTSCAT.spad" 2193538 2193554 2195985 2196082) (-1249 "UTSCAT.spad" 2190633 2190651 2193082 2193087) (-1248 "UTS2.spad" 2190226 2190261 2190623 2190628) (-1247 "URAGG.spad" 2184858 2184869 2190216 2190221) (-1246 "URAGG.spad" 2179454 2179467 2184814 2184819) (-1245 "UPXSSING.spad" 2177097 2177123 2178535 2178668) (-1244 "UPXS.spad" 2174245 2174273 2175229 2175378) (-1243 "UPXSCONS.spad" 2172002 2172022 2172377 2172526) (-1242 "UPXSCCA.spad" 2170567 2170587 2171848 2171997) (-1241 "UPXSCCA.spad" 2169274 2169296 2170557 2170562) (-1240 "UPXSCAT.spad" 2167855 2167871 2169120 2169269) (-1239 "UPXS2.spad" 2167396 2167449 2167845 2167850) (-1238 "UPSQFREE.spad" 2165808 2165822 2167386 2167391) (-1237 "UPSCAT.spad" 2163401 2163425 2165706 2165803) (-1236 "UPSCAT.spad" 2160700 2160726 2163007 2163012) (-1235 "UPOLYC.spad" 2155678 2155689 2160542 2160695) (-1234 "UPOLYC.spad" 2150548 2150561 2155414 2155419) (-1233 "UPOLYC2.spad" 2150017 2150036 2150538 2150543) (-1232 "UP.spad" 2147210 2147225 2147603 2147756) (-1231 "UPMP.spad" 2146100 2146113 2147200 2147205) (-1230 "UPDIVP.spad" 2145663 2145677 2146090 2146095) (-1229 "UPDECOMP.spad" 2143900 2143914 2145653 2145658) (-1228 "UPCDEN.spad" 2143107 2143123 2143890 2143895) (-1227 "UP2.spad" 2142469 2142490 2143097 2143102) (-1226 "UNISEG.spad" 2141822 2141833 2142388 2142393) (-1225 "UNISEG2.spad" 2141315 2141328 2141778 2141783) (-1224 "UNIFACT.spad" 2140416 2140428 2141305 2141310) (-1223 "ULS.spad" 2130968 2130996 2132061 2132490) (-1222 "ULSCONS.spad" 2123362 2123382 2123734 2123883) (-1221 "ULSCCAT.spad" 2121091 2121111 2123208 2123357) (-1220 "ULSCCAT.spad" 2118928 2118950 2121047 2121052) (-1219 "ULSCAT.spad" 2117144 2117160 2118774 2118923) (-1218 "ULS2.spad" 2116656 2116709 2117134 2117139) (-1217 "UINT8.spad" 2116533 2116542 2116646 2116651) (-1216 "UINT64.spad" 2116409 2116418 2116523 2116528) (-1215 "UINT32.spad" 2116285 2116294 2116399 2116404) (-1214 "UINT16.spad" 2116161 2116170 2116275 2116280) (-1213 "UFD.spad" 2115226 2115235 2116087 2116156) (-1212 "UFD.spad" 2114353 2114364 2115216 2115221) (-1211 "UDVO.spad" 2113200 2113209 2114343 2114348) (-1210 "UDPO.spad" 2110627 2110638 2113156 2113161) (-1209 "TYPE.spad" 2110559 2110568 2110617 2110622) (-1208 "TYPEAST.spad" 2110478 2110487 2110549 2110554) (-1207 "TWOFACT.spad" 2109128 2109143 2110468 2110473) (-1206 "TUPLE.spad" 2108612 2108623 2109027 2109032) (-1205 "TUBETOOL.spad" 2105449 2105458 2108602 2108607) (-1204 "TUBE.spad" 2104090 2104107 2105439 2105444) (-1203 "TS.spad" 2102679 2102695 2103655 2103752) (-1202 "TSETCAT.spad" 2089806 2089823 2102647 2102674) (-1201 "TSETCAT.spad" 2076919 2076938 2089762 2089767) (-1200 "TRMANIP.spad" 2071285 2071302 2076625 2076630) (-1199 "TRIMAT.spad" 2070244 2070269 2071275 2071280) (-1198 "TRIGMNIP.spad" 2068761 2068778 2070234 2070239) (-1197 "TRIGCAT.spad" 2068273 2068282 2068751 2068756) (-1196 "TRIGCAT.spad" 2067783 2067794 2068263 2068268) (-1195 "TREE.spad" 2066354 2066365 2067390 2067417) (-1194 "TRANFUN.spad" 2066185 2066194 2066344 2066349) (-1193 "TRANFUN.spad" 2066014 2066025 2066175 2066180) (-1192 "TOPSP.spad" 2065688 2065697 2066004 2066009) (-1191 "TOOLSIGN.spad" 2065351 2065362 2065678 2065683) (-1190 "TEXTFILE.spad" 2063908 2063917 2065341 2065346) (-1189 "TEX.spad" 2061040 2061049 2063898 2063903) (-1188 "TEX1.spad" 2060596 2060607 2061030 2061035) (-1187 "TEMUTL.spad" 2060151 2060160 2060586 2060591) (-1186 "TBCMPPK.spad" 2058244 2058267 2060141 2060146) (-1185 "TBAGG.spad" 2057280 2057303 2058224 2058239) (-1184 "TBAGG.spad" 2056324 2056349 2057270 2057275) (-1183 "TANEXP.spad" 2055700 2055711 2056314 2056319) (-1182 "TABLE.spad" 2054111 2054134 2054381 2054408) (-1181 "TABLEAU.spad" 2053592 2053603 2054101 2054106) (-1180 "TABLBUMP.spad" 2050375 2050386 2053582 2053587) (-1179 "SYSTEM.spad" 2049603 2049612 2050365 2050370) (-1178 "SYSSOLP.spad" 2047076 2047087 2049593 2049598) (-1177 "SYSNNI.spad" 2046256 2046267 2047066 2047071) (-1176 "SYSINT.spad" 2045660 2045671 2046246 2046251) (-1175 "SYNTAX.spad" 2041854 2041863 2045650 2045655) (-1174 "SYMTAB.spad" 2039910 2039919 2041844 2041849) (-1173 "SYMS.spad" 2035895 2035904 2039900 2039905) (-1172 "SYMPOLY.spad" 2034902 2034913 2034984 2035111) (-1171 "SYMFUNC.spad" 2034377 2034388 2034892 2034897) (-1170 "SYMBOL.spad" 2031804 2031813 2034367 2034372) (-1169 "SWITCH.spad" 2028561 2028570 2031794 2031799) (-1168 "SUTS.spad" 2025460 2025488 2027028 2027125) (-1167 "SUPXS.spad" 2022595 2022623 2023592 2023741) (-1166 "SUP.spad" 2019400 2019411 2020181 2020334) (-1165 "SUPFRACF.spad" 2018505 2018523 2019390 2019395) (-1164 "SUP2.spad" 2017895 2017908 2018495 2018500) (-1163 "SUMRF.spad" 2016861 2016872 2017885 2017890) (-1162 "SUMFS.spad" 2016494 2016511 2016851 2016856) (-1161 "SULS.spad" 2007033 2007061 2008139 2008568) (-1160 "SUCHTAST.spad" 2006802 2006811 2007023 2007028) (-1159 "SUCH.spad" 2006482 2006497 2006792 2006797) (-1158 "SUBSPACE.spad" 1998489 1998504 2006472 2006477) (-1157 "SUBRESP.spad" 1997649 1997663 1998445 1998450) (-1156 "STTF.spad" 1993748 1993764 1997639 1997644) (-1155 "STTFNC.spad" 1990216 1990232 1993738 1993743) (-1154 "STTAYLOR.spad" 1982614 1982625 1990097 1990102) (-1153 "STRTBL.spad" 1981119 1981136 1981268 1981295) (-1152 "STRING.spad" 1980528 1980537 1980542 1980569) (-1151 "STRICAT.spad" 1980316 1980325 1980496 1980523) (-1150 "STREAM.spad" 1977174 1977185 1979841 1979856) (-1149 "STREAM3.spad" 1976719 1976734 1977164 1977169) (-1148 "STREAM2.spad" 1975787 1975800 1976709 1976714) (-1147 "STREAM1.spad" 1975491 1975502 1975777 1975782) (-1146 "STINPROD.spad" 1974397 1974413 1975481 1975486) (-1145 "STEP.spad" 1973598 1973607 1974387 1974392) (-1144 "STBL.spad" 1972124 1972152 1972291 1972306) (-1143 "STAGG.spad" 1971199 1971210 1972114 1972119) (-1142 "STAGG.spad" 1970272 1970285 1971189 1971194) (-1141 "STACK.spad" 1969623 1969634 1969879 1969906) (-1140 "SREGSET.spad" 1967327 1967344 1969269 1969296) (-1139 "SRDCMPK.spad" 1965872 1965892 1967317 1967322) (-1138 "SRAGG.spad" 1960969 1960978 1965840 1965867) (-1137 "SRAGG.spad" 1956086 1956097 1960959 1960964) (-1136 "SQMATRIX.spad" 1953702 1953720 1954618 1954705) (-1135 "SPLTREE.spad" 1948254 1948267 1953138 1953165) (-1134 "SPLNODE.spad" 1944842 1944855 1948244 1948249) (-1133 "SPFCAT.spad" 1943619 1943628 1944832 1944837) (-1132 "SPECOUT.spad" 1942169 1942178 1943609 1943614) (-1131 "SPADXPT.spad" 1934308 1934317 1942159 1942164) (-1130 "spad-parser.spad" 1933773 1933782 1934298 1934303) (-1129 "SPADAST.spad" 1933474 1933483 1933763 1933768) (-1128 "SPACEC.spad" 1917487 1917498 1933464 1933469) (-1127 "SPACE3.spad" 1917263 1917274 1917477 1917482) (-1126 "SORTPAK.spad" 1916808 1916821 1917219 1917224) (-1125 "SOLVETRA.spad" 1914565 1914576 1916798 1916803) (-1124 "SOLVESER.spad" 1913085 1913096 1914555 1914560) (-1123 "SOLVERAD.spad" 1909095 1909106 1913075 1913080) (-1122 "SOLVEFOR.spad" 1907515 1907533 1909085 1909090) (-1121 "SNTSCAT.spad" 1907115 1907132 1907483 1907510) (-1120 "SMTS.spad" 1905375 1905401 1906680 1906777) (-1119 "SMP.spad" 1902850 1902870 1903240 1903367) (-1118 "SMITH.spad" 1901693 1901718 1902840 1902845) (-1117 "SMATCAT.spad" 1899803 1899833 1901637 1901688) (-1116 "SMATCAT.spad" 1897845 1897877 1899681 1899686) (-1115 "SKAGG.spad" 1896806 1896817 1897813 1897840) (-1114 "SINT.spad" 1895632 1895641 1896672 1896801) (-1113 "SIMPAN.spad" 1895360 1895369 1895622 1895627) (-1112 "SIG.spad" 1894688 1894697 1895350 1895355) (-1111 "SIGNRF.spad" 1893796 1893807 1894678 1894683) (-1110 "SIGNEF.spad" 1893065 1893082 1893786 1893791) (-1109 "SIGAST.spad" 1892446 1892455 1893055 1893060) (-1108 "SHP.spad" 1890364 1890379 1892402 1892407) (-1107 "SHDP.spad" 1880075 1880102 1880584 1880715) 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1246494 1246499) (-769 "NONE1.spad" 1245921 1245931 1246235 1246240) (-768 "NODE1.spad" 1245390 1245406 1245911 1245916) (-767 "NNI.spad" 1244277 1244285 1245364 1245385) (-766 "NLINSOL.spad" 1242899 1242909 1244267 1244272) (-765 "NIPROB.spad" 1241440 1241448 1242889 1242894) (-764 "NFINTBAS.spad" 1238900 1238917 1241430 1241435) (-763 "NETCLT.spad" 1238874 1238885 1238890 1238895) (-762 "NCODIV.spad" 1237072 1237088 1238864 1238869) (-761 "NCNTFRAC.spad" 1236714 1236728 1237062 1237067) (-760 "NCEP.spad" 1234874 1234888 1236704 1236709) (-759 "NASRING.spad" 1234470 1234478 1234864 1234869) (-758 "NASRING.spad" 1234064 1234074 1234460 1234465) (-757 "NARNG.spad" 1233408 1233416 1234054 1234059) (-756 "NARNG.spad" 1232750 1232760 1233398 1233403) (-755 "NAGSP.spad" 1231823 1231831 1232740 1232745) (-754 "NAGS.spad" 1221348 1221356 1231813 1231818) (-753 "NAGF07.spad" 1219741 1219749 1221338 1221343) (-752 "NAGF04.spad" 1213973 1213981 1219731 1219736) (-751 "NAGF02.spad" 1207782 1207790 1213963 1213968) (-750 "NAGF01.spad" 1203385 1203393 1207772 1207777) (-749 "NAGE04.spad" 1196845 1196853 1203375 1203380) (-748 "NAGE02.spad" 1187187 1187195 1196835 1196840) (-747 "NAGE01.spad" 1183071 1183079 1187177 1187182) (-746 "NAGD03.spad" 1180991 1180999 1183061 1183066) (-745 "NAGD02.spad" 1173522 1173530 1180981 1180986) (-744 "NAGD01.spad" 1167635 1167643 1173512 1173517) (-743 "NAGC06.spad" 1163422 1163430 1167625 1167630) (-742 "NAGC05.spad" 1161891 1161899 1163412 1163417) (-741 "NAGC02.spad" 1161146 1161154 1161881 1161886) (-740 "NAALG.spad" 1160681 1160691 1161114 1161141) (-739 "NAALG.spad" 1160236 1160248 1160671 1160676) (-738 "MULTSQFR.spad" 1157194 1157211 1160226 1160231) (-737 "MULTFACT.spad" 1156577 1156594 1157184 1157189) (-736 "MTSCAT.spad" 1154611 1154632 1156475 1156572) (-735 "MTHING.spad" 1154268 1154278 1154601 1154606) (-734 "MSYSCMD.spad" 1153702 1153710 1154258 1154263) (-733 "MSET.spad" 1151644 1151654 1153408 1153447) (-732 "MSETAGG.spad" 1151489 1151499 1151612 1151639) (-731 "MRING.spad" 1148460 1148472 1151197 1151264) (-730 "MRF2.spad" 1148028 1148042 1148450 1148455) (-729 "MRATFAC.spad" 1147574 1147591 1148018 1148023) (-728 "MPRFF.spad" 1145604 1145623 1147564 1147569) (-727 "MPOLY.spad" 1143075 1143090 1143434 1143561) (-726 "MPCPF.spad" 1142339 1142358 1143065 1143070) (-725 "MPC3.spad" 1142154 1142194 1142329 1142334) (-724 "MPC2.spad" 1141796 1141829 1142144 1142149) (-723 "MONOTOOL.spad" 1140131 1140148 1141786 1141791) (-722 "MONOID.spad" 1139450 1139458 1140121 1140126) (-721 "MONOID.spad" 1138767 1138777 1139440 1139445) (-720 "MONOGEN.spad" 1137513 1137526 1138627 1138762) (-719 "MONOGEN.spad" 1136281 1136296 1137397 1137402) (-718 "MONADWU.spad" 1134295 1134303 1136271 1136276) (-717 "MONADWU.spad" 1132307 1132317 1134285 1134290) (-716 "MONAD.spad" 1131451 1131459 1132297 1132302) (-715 "MONAD.spad" 1130593 1130603 1131441 1131446) (-714 "MOEBIUS.spad" 1129279 1129293 1130573 1130588) (-713 "MODULE.spad" 1129149 1129159 1129247 1129274) (-712 "MODULE.spad" 1129039 1129051 1129139 1129144) (-711 "MODRING.spad" 1128370 1128409 1129019 1129034) (-710 "MODOP.spad" 1127029 1127041 1128192 1128259) (-709 "MODMONOM.spad" 1126758 1126776 1127019 1127024) (-708 "MODMON.spad" 1123553 1123569 1124272 1124425) (-707 "MODFIELD.spad" 1122911 1122950 1123455 1123548) (-706 "MMLFORM.spad" 1121771 1121779 1122901 1122906) (-705 "MMAP.spad" 1121511 1121545 1121761 1121766) (-704 "MLO.spad" 1119938 1119948 1121467 1121506) (-703 "MLIFT.spad" 1118510 1118527 1119928 1119933) (-702 "MKUCFUNC.spad" 1118043 1118061 1118500 1118505) (-701 "MKRECORD.spad" 1117645 1117658 1118033 1118038) (-700 "MKFUNC.spad" 1117026 1117036 1117635 1117640) (-699 "MKFLCFN.spad" 1115982 1115992 1117016 1117021) (-698 "MKBCFUNC.spad" 1115467 1115485 1115972 1115977) (-697 "MINT.spad" 1114906 1114914 1115369 1115462) (-696 "MHROWRED.spad" 1113407 1113417 1114896 1114901) (-695 "MFLOAT.spad" 1111923 1111931 1113297 1113402) (-694 "MFINFACT.spad" 1111323 1111345 1111913 1111918) (-693 "MESH.spad" 1109055 1109063 1111313 1111318) (-692 "MDDFACT.spad" 1107248 1107258 1109045 1109050) (-691 "MDAGG.spad" 1106535 1106545 1107228 1107243) (-690 "MCMPLX.spad" 1102547 1102555 1103161 1103362) (-689 "MCDEN.spad" 1101755 1101767 1102537 1102542) (-688 "MCALCFN.spad" 1098857 1098883 1101745 1101750) (-687 "MAYBE.spad" 1098141 1098152 1098847 1098852) (-686 "MATSTOR.spad" 1095417 1095427 1098131 1098136) (-685 "MATRIX.spad" 1094121 1094131 1094605 1094632) (-684 "MATLIN.spad" 1091447 1091471 1094005 1094010) (-683 "MATCAT.spad" 1083032 1083054 1091415 1091442) (-682 "MATCAT.spad" 1074489 1074513 1082874 1082879) (-681 "MATCAT2.spad" 1073757 1073805 1074479 1074484) (-680 "MAPPKG3.spad" 1072656 1072670 1073747 1073752) (-679 "MAPPKG2.spad" 1071990 1072002 1072646 1072651) (-678 "MAPPKG1.spad" 1070808 1070818 1071980 1071985) (-677 "MAPPAST.spad" 1070121 1070129 1070798 1070803) (-676 "MAPHACK3.spad" 1069929 1069943 1070111 1070116) (-675 "MAPHACK2.spad" 1069694 1069706 1069919 1069924) (-674 "MAPHACK1.spad" 1069324 1069334 1069684 1069689) (-673 "MAGMA.spad" 1067114 1067131 1069314 1069319) (-672 "MACROAST.spad" 1066693 1066701 1067104 1067109) (-671 "M3D.spad" 1064389 1064399 1066071 1066076) (-670 "LZSTAGG.spad" 1061617 1061627 1064379 1064384) (-669 "LZSTAGG.spad" 1058843 1058855 1061607 1061612) (-668 "LWORD.spad" 1055548 1055565 1058833 1058838) (-667 "LSTAST.spad" 1055332 1055340 1055538 1055543) (-666 "LSQM.spad" 1053558 1053572 1053956 1054007) (-665 "LSPP.spad" 1053091 1053108 1053548 1053553) (-664 "LSMP.spad" 1051931 1051959 1053081 1053086) (-663 "LSMP1.spad" 1049735 1049749 1051921 1051926) (-662 "LSAGG.spad" 1049404 1049414 1049703 1049730) (-661 "LSAGG.spad" 1049093 1049105 1049394 1049399) (-660 "LPOLY.spad" 1048047 1048066 1048949 1049018) (-659 "LPEFRAC.spad" 1047304 1047314 1048037 1048042) (-658 "LO.spad" 1046705 1046719 1047238 1047265) (-657 "LOGIC.spad" 1046307 1046315 1046695 1046700) (-656 "LOGIC.spad" 1045907 1045917 1046297 1046302) (-655 "LODOOPS.spad" 1044825 1044837 1045897 1045902) (-654 "LODO.spad" 1044209 1044225 1044505 1044544) (-653 "LODOF.spad" 1043253 1043270 1044166 1044171) (-652 "LODOCAT.spad" 1041911 1041921 1043209 1043248) (-651 "LODOCAT.spad" 1040567 1040579 1041867 1041872) (-650 "LODO2.spad" 1039840 1039852 1040247 1040286) (-649 "LODO1.spad" 1039240 1039250 1039520 1039559) (-648 "LODEEF.spad" 1038012 1038030 1039230 1039235) (-647 "LNAGG.spad" 1033814 1033824 1038002 1038007) (-646 "LNAGG.spad" 1029580 1029592 1033770 1033775) (-645 "LMOPS.spad" 1026316 1026333 1029570 1029575) (-644 "LMODULE.spad" 1025958 1025968 1026306 1026311) (-643 "LMDICT.spad" 1025241 1025251 1025509 1025536) (-642 "LITERAL.spad" 1025147 1025158 1025231 1025236) (-641 "LIST.spad" 1022865 1022875 1024294 1024321) (-640 "LIST3.spad" 1022156 1022170 1022855 1022860) (-639 "LIST2.spad" 1020796 1020808 1022146 1022151) (-638 "LIST2MAP.spad" 1017673 1017685 1020786 1020791) (-637 "LINEXP.spad" 1017105 1017115 1017653 1017668) (-636 "LINDEP.spad" 1015882 1015894 1017017 1017022) (-635 "LIMITRF.spad" 1013796 1013806 1015872 1015877) (-634 "LIMITPS.spad" 1012679 1012692 1013786 1013791) (-633 "LIE.spad" 1010693 1010705 1011969 1012114) (-632 "LIECAT.spad" 1010169 1010179 1010619 1010688) (-631 "LIECAT.spad" 1009673 1009685 1010125 1010130) (-630 "LIB.spad" 1007721 1007729 1008332 1008347) (-629 "LGROBP.spad" 1005074 1005093 1007711 1007716) (-628 "LF.spad" 1003993 1004009 1005064 1005069) (-627 "LFCAT.spad" 1003012 1003020 1003983 1003988) (-626 "LEXTRIPK.spad" 998515 998530 1003002 1003007) (-625 "LEXP.spad" 996518 996545 998495 998510) (-624 "LETAST.spad" 996217 996225 996508 996513) (-623 "LEADCDET.spad" 994601 994618 996207 996212) (-622 "LAZM3PK.spad" 993305 993327 994591 994596) (-621 "LAUPOL.spad" 991994 992007 992898 992967) (-620 "LAPLACE.spad" 991567 991583 991984 991989) (-619 "LA.spad" 991007 991021 991489 991528) (-618 "LALG.spad" 990783 990793 990987 991002) (-617 "LALG.spad" 990567 990579 990773 990778) (-616 "KVTFROM.spad" 990302 990312 990557 990562) (-615 "KTVLOGIC.spad" 989725 989733 990292 990297) (-614 "KRCFROM.spad" 989463 989473 989715 989720) (-613 "KOVACIC.spad" 988176 988193 989453 989458) (-612 "KONVERT.spad" 987898 987908 988166 988171) (-611 "KOERCE.spad" 987635 987645 987888 987893) (-610 "KERNEL.spad" 986170 986180 987419 987424) (-609 "KERNEL2.spad" 985873 985885 986160 986165) (-608 "KDAGG.spad" 984976 984998 985853 985868) (-607 "KDAGG.spad" 984087 984111 984966 984971) (-606 "KAFILE.spad" 983050 983066 983285 983312) (-605 "JORDAN.spad" 980877 980889 982340 982485) (-604 "JOINAST.spad" 980571 980579 980867 980872) (-603 "JAVACODE.spad" 980437 980445 980561 980566) (-602 "IXAGG.spad" 978560 978584 980427 980432) (-601 "IXAGG.spad" 976538 976564 978407 978412) (-600 "IVECTOR.spad" 975309 975324 975464 975491) (-599 "ITUPLE.spad" 974454 974464 975299 975304) (-598 "ITRIGMNP.spad" 973265 973284 974444 974449) (-597 "ITFUN3.spad" 972759 972773 973255 973260) (-596 "ITFUN2.spad" 972489 972501 972749 972754) (-595 "ITAYLOR.spad" 970281 970296 972325 972450) (-594 "ISUPS.spad" 962692 962707 969255 969352) (-593 "ISUMP.spad" 962189 962205 962682 962687) (-592 "ISTRING.spad" 961192 961205 961358 961385) (-591 "ISAST.spad" 960911 960919 961182 961187) (-590 "IRURPK.spad" 959624 959643 960901 960906) (-589 "IRSN.spad" 957584 957592 959614 959619) (-588 "IRRF2F.spad" 956059 956069 957540 957545) (-587 "IRREDFFX.spad" 955660 955671 956049 956054) (-586 "IROOT.spad" 953991 954001 955650 955655) (-585 "IR.spad" 951780 951794 953846 953873) (-584 "IR2.spad" 950800 950816 951770 951775) (-583 "IR2F.spad" 950000 950016 950790 950795) (-582 "IPRNTPK.spad" 949760 949768 949990 949995) (-581 "IPF.spad" 949325 949337 949565 949658) (-580 "IPADIC.spad" 949086 949112 949251 949320) (-579 "IP4ADDR.spad" 948643 948651 949076 949081) (-578 "IOMODE.spad" 948264 948272 948633 948638) (-577 "IOBFILE.spad" 947625 947633 948254 948259) (-576 "IOBCON.spad" 947490 947498 947615 947620) (-575 "INVLAPLA.spad" 947135 947151 947480 947485) (-574 "INTTR.spad" 940381 940398 947125 947130) (-573 "INTTOOLS.spad" 938092 938108 939955 939960) (-572 "INTSLPE.spad" 937398 937406 938082 938087) (-571 "INTRVL.spad" 936964 936974 937312 937393) (-570 "INTRF.spad" 935328 935342 936954 936959) (-569 "INTRET.spad" 934760 934770 935318 935323) (-568 "INTRAT.spad" 933435 933452 934750 934755) (-567 "INTPM.spad" 931798 931814 933078 933083) (-566 "INTPAF.spad" 929566 929584 931730 931735) (-565 "INTPACK.spad" 919876 919884 929556 929561) (-564 "INT.spad" 919237 919245 919730 919871) (-563 "INTHERTR.spad" 918503 918520 919227 919232) (-562 "INTHERAL.spad" 918169 918193 918493 918498) (-561 "INTHEORY.spad" 914582 914590 918159 918164) (-560 "INTG0.spad" 908045 908063 914514 914519) (-559 "INTFTBL.spad" 902074 902082 908035 908040) (-558 "INTFACT.spad" 901133 901143 902064 902069) (-557 "INTEF.spad" 899448 899464 901123 901128) (-556 "INTDOM.spad" 898063 898071 899374 899443) (-555 "INTDOM.spad" 896740 896750 898053 898058) (-554 "INTCAT.spad" 894993 895003 896654 896735) (-553 "INTBIT.spad" 894496 894504 894983 894988) (-552 "INTALG.spad" 893678 893705 894486 894491) (-551 "INTAF.spad" 893170 893186 893668 893673) (-550 "INTABL.spad" 891688 891719 891851 891878) (-549 "INT8.spad" 891568 891576 891678 891683) (-548 "INT64.spad" 891447 891455 891558 891563) (-547 "INT32.spad" 891326 891334 891437 891442) (-546 "INT16.spad" 891205 891213 891316 891321) (-545 "INS.spad" 888672 888680 891107 891200) (-544 "INS.spad" 886225 886235 888662 888667) (-543 "INPSIGN.spad" 885659 885672 886215 886220) (-542 "INPRODPF.spad" 884725 884744 885649 885654) (-541 "INPRODFF.spad" 883783 883807 884715 884720) (-540 "INNMFACT.spad" 882754 882771 883773 883778) (-539 "INMODGCD.spad" 882238 882268 882744 882749) (-538 "INFSP.spad" 880523 880545 882228 882233) (-537 "INFPROD0.spad" 879573 879592 880513 880518) (-536 "INFORM.spad" 876734 876742 879563 879568) (-535 "INFORM1.spad" 876359 876369 876724 876729) (-534 "INFINITY.spad" 875911 875919 876349 876354) (-533 "INETCLTS.spad" 875888 875896 875901 875906) (-532 "INEP.spad" 874420 874442 875878 875883) (-531 "INDE.spad" 874149 874166 874410 874415) (-530 "INCRMAPS.spad" 873570 873580 874139 874144) (-529 "INBFILE.spad" 872642 872650 873560 873565) (-528 "INBFF.spad" 868412 868423 872632 872637) (-527 "INBCON.spad" 866700 866708 868402 868407) (-526 "INBCON.spad" 864986 864996 866690 866695) (-525 "INAST.spad" 864647 864655 864976 864981) (-524 "IMPTAST.spad" 864355 864363 864637 864642) (-523 "IMATRIX.spad" 863300 863326 863812 863839) (-522 "IMATQF.spad" 862394 862438 863256 863261) (-521 "IMATLIN.spad" 860999 861023 862350 862355) (-520 "ILIST.spad" 859655 859670 860182 860209) (-519 "IIARRAY2.spad" 859043 859081 859262 859289) (-518 "IFF.spad" 858453 858469 858724 858817) (-517 "IFAST.spad" 858067 858075 858443 858448) (-516 "IFARRAY.spad" 855554 855569 857250 857277) (-515 "IFAMON.spad" 855416 855433 855510 855515) (-514 "IEVALAB.spad" 854805 854817 855406 855411) (-513 "IEVALAB.spad" 854192 854206 854795 854800) (-512 "IDPO.spad" 853990 854002 854182 854187) (-511 "IDPOAMS.spad" 853746 853758 853980 853985) (-510 "IDPOAM.spad" 853466 853478 853736 853741) (-509 "IDPC.spad" 852400 852412 853456 853461) (-508 "IDPAM.spad" 852145 852157 852390 852395) (-507 "IDPAG.spad" 851892 851904 852135 852140) (-506 "IDENT.spad" 851542 851550 851882 851887) (-505 "IDECOMP.spad" 848779 848797 851532 851537) (-504 "IDEAL.spad" 843702 843741 848714 848719) (-503 "ICDEN.spad" 842853 842869 843692 843697) (-502 "ICARD.spad" 842042 842050 842843 842848) (-501 "IBPTOOLS.spad" 840635 840652 842032 842037) (-500 "IBITS.spad" 839834 839847 840271 840298) (-499 "IBATOOL.spad" 836709 836728 839824 839829) (-498 "IBACHIN.spad" 835196 835211 836699 836704) (-497 "IARRAY2.spad" 834184 834210 834803 834830) (-496 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197090 197298 197303) (-169 "COMPLEX.spad" 191213 191223 191457 191718) (-168 "COMPLEX2.spad" 190926 190938 191203 191208) (-167 "COMPFACT.spad" 190528 190542 190916 190921) (-166 "COMPCAT.spad" 188596 188606 190262 190523) (-165 "COMPCAT.spad" 186393 186405 188061 188066) (-164 "COMMUPC.spad" 186139 186157 186383 186388) (-163 "COMMONOP.spad" 185672 185680 186129 186134) (-162 "COMM.spad" 185481 185489 185662 185667) (-161 "COMMAAST.spad" 185244 185252 185471 185476) (-160 "COMBOPC.spad" 184149 184157 185234 185239) (-159 "COMBINAT.spad" 182894 182904 184139 184144) (-158 "COMBF.spad" 180262 180278 182884 182889) (-157 "COLOR.spad" 179099 179107 180252 180257) (-156 "COLONAST.spad" 178765 178773 179089 179094) (-155 "CMPLXRT.spad" 178474 178491 178755 178760) (-154 "CLLCTAST.spad" 178136 178144 178464 178469) (-153 "CLIP.spad" 174228 174236 178126 178131) (-152 "CLIF.spad" 172867 172883 174184 174223) (-151 "CLAGG.spad" 169352 169362 172857 172862) (-150 "CLAGG.spad" 165708 165720 169215 169220) (-149 "CINTSLPE.spad" 165033 165046 165698 165703) (-148 "CHVAR.spad" 163111 163133 165023 165028) (-147 "CHARZ.spad" 163026 163034 163091 163106) (-146 "CHARPOL.spad" 162534 162544 163016 163021) (-145 "CHARNZ.spad" 162287 162295 162514 162529) (-144 "CHAR.spad" 160155 160163 162277 162282) (-143 "CFCAT.spad" 159471 159479 160145 160150) (-142 "CDEN.spad" 158629 158643 159461 159466) (-141 "CCLASS.spad" 156778 156786 158040 158079) (-140 "CATEGORY.spad" 155868 155876 156768 156773) (-139 "CATCTOR.spad" 155759 155767 155858 155863) (-138 "CATAST.spad" 155377 155385 155749 155754) (-137 "CASEAST.spad" 155091 155099 155367 155372) (-136 "CARTEN.spad" 150194 150218 155081 155086) (-135 "CARTEN2.spad" 149580 149607 150184 150189) (-134 "CARD.spad" 146869 146877 149554 149575) (-133 "CAPSLAST.spad" 146643 146651 146859 146864) (-132 "CACHSET.spad" 146265 146273 146633 146638) (-131 "CABMON.spad" 145818 145826 146255 146260) (-130 "BYTEORD.spad" 145493 145501 145808 145813) (-129 "BYTE.spad" 144918 144926 145483 145488) (-128 "BYTEBUF.spad" 142775 142783 144087 144114) (-127 "BTREE.spad" 141844 141854 142382 142409) (-126 "BTOURN.spad" 140847 140857 141451 141478) (-125 "BTCAT.spad" 140235 140245 140815 140842) (-124 "BTCAT.spad" 139643 139655 140225 140230) (-123 "BTAGG.spad" 138765 138773 139611 139638) (-122 "BTAGG.spad" 137907 137917 138755 138760) (-121 "BSTREE.spad" 136642 136652 137514 137541) (-120 "BRILL.spad" 134837 134848 136632 136637) (-119 "BRAGG.spad" 133761 133771 134827 134832) (-118 "BRAGG.spad" 132649 132661 133717 133722) (-117 "BPADICRT.spad" 130630 130642 130885 130978) (-116 "BPADIC.spad" 130294 130306 130556 130625) (-115 "BOUNDZRO.spad" 129950 129967 130284 130289) (-114 "BOP.spad" 124968 124976 129940 129945) (-113 "BOP1.spad" 122354 122364 124924 124929) (-112 "BOOLEAN.spad" 121678 121686 122344 122349) (-111 "BMODULE.spad" 121390 121402 121646 121673) (-110 "BITS.spad" 120809 120817 121026 121053) (-109 "BINDING.spad" 120220 120228 120799 120804) (-108 "BINARY.spad" 118331 118339 118687 118780) (-107 "BGAGG.spad" 117528 117538 118311 118326) (-106 "BGAGG.spad" 116733 116745 117518 117523) (-105 "BFUNCT.spad" 116297 116305 116713 116728) (-104 "BEZOUT.spad" 115431 115458 116247 116252) (-103 "BBTREE.spad" 112250 112260 115038 115065) (-102 "BASTYPE.spad" 111922 111930 112240 112245) (-101 "BASTYPE.spad" 111592 111602 111912 111917) (-100 "BALFACT.spad" 111031 111044 111582 111587) (-99 "AUTOMOR.spad" 110478 110487 111011 111026) (-98 "ATTREG.spad" 107197 107204 110230 110473) (-97 "ATTRBUT.spad" 103220 103227 107177 107192) (-96 "ATTRAST.spad" 102937 102944 103210 103215) (-95 "ATRIG.spad" 102407 102414 102927 102932) (-94 "ATRIG.spad" 101875 101884 102397 102402) (-93 "ASTCAT.spad" 101779 101786 101865 101870) (-92 "ASTCAT.spad" 101681 101690 101769 101774) (-91 "ASTACK.spad" 101014 101023 101288 101315) (-90 "ASSOCEQ.spad" 99814 99825 100970 100975) (-89 "ASP9.spad" 98895 98908 99804 99809) (-88 "ASP8.spad" 97938 97951 98885 98890) (-87 "ASP80.spad" 97260 97273 97928 97933) (-86 "ASP7.spad" 96420 96433 97250 97255) (-85 "ASP78.spad" 95871 95884 96410 96415) (-84 "ASP77.spad" 95240 95253 95861 95866) (-83 "ASP74.spad" 94332 94345 95230 95235) (-82 "ASP73.spad" 93603 93616 94322 94327) (-81 "ASP6.spad" 92470 92483 93593 93598) (-80 "ASP55.spad" 90979 90992 92460 92465) (-79 "ASP50.spad" 88796 88809 90969 90974) (-78 "ASP4.spad" 88091 88104 88786 88791) (-77 "ASP49.spad" 87090 87103 88081 88086) (-76 "ASP42.spad" 85497 85536 87080 87085) (-75 "ASP41.spad" 84076 84115 85487 85492) (-74 "ASP35.spad" 83064 83077 84066 84071) (-73 "ASP34.spad" 82365 82378 83054 83059) (-72 "ASP33.spad" 81925 81938 82355 82360) (-71 "ASP31.spad" 81065 81078 81915 81920) (-70 "ASP30.spad" 79957 79970 81055 81060) (-69 "ASP29.spad" 79423 79436 79947 79952) (-68 "ASP28.spad" 70696 70709 79413 79418) (-67 "ASP27.spad" 69593 69606 70686 70691) (-66 "ASP24.spad" 68680 68693 69583 69588) (-65 "ASP20.spad" 68144 68157 68670 68675) (-64 "ASP1.spad" 67525 67538 68134 68139) (-63 "ASP19.spad" 62211 62224 67515 67520) (-62 "ASP12.spad" 61625 61638 62201 62206) (-61 "ASP10.spad" 60896 60909 61615 61620) (-60 "ARRAY2.spad" 60256 60265 60503 60530) (-59 "ARRAY1.spad" 59091 59100 59439 59466) (-58 "ARRAY12.spad" 57760 57771 59081 59086) (-57 "ARR2CAT.spad" 53422 53443 57728 57755) (-56 "ARR2CAT.spad" 49104 49127 53412 53417) (-55 "ARITY.spad" 48476 48483 49094 49099) (-54 "APPRULE.spad" 47720 47742 48466 48471) (-53 "APPLYORE.spad" 47335 47348 47710 47715) (-52 "ANY.spad" 45677 45684 47325 47330) (-51 "ANY1.spad" 44748 44757 45667 45672) (-50 "ANTISYM.spad" 43187 43203 44728 44743) (-49 "ANON.spad" 42880 42887 43177 43182) (-48 "AN.spad" 41181 41188 42696 42789) (-47 "AMR.spad" 39360 39371 41079 41176) (-46 "AMR.spad" 37376 37389 39097 39102) (-45 "ALIST.spad" 34788 34809 35138 35165) (-44 "ALGSC.spad" 33911 33937 34660 34713) (-43 "ALGPKG.spad" 29620 29631 33867 33872) (-42 "ALGMFACT.spad" 28809 28823 29610 29615) (-41 "ALGMANIP.spad" 26265 26280 28642 28647) (-40 "ALGFF.spad" 24580 24607 24797 24953) (-39 "ALGFACT.spad" 23701 23711 24570 24575) (-38 "ALGEBRA.spad" 23534 23543 23657 23696) (-37 "ALGEBRA.spad" 23399 23410 23524 23529) (-36 "ALAGG.spad" 22909 22930 23367 23394) (-35 "AHYP.spad" 22290 22297 22899 22904) (-34 "AGG.spad" 20599 20606 22280 22285) (-33 "AGG.spad" 18872 18881 20555 20560) (-32 "AF.spad" 17297 17312 18807 18812) (-31 "ADDAST.spad" 16975 16982 17287 17292) (-30 "ACPLOT.spad" 15546 15553 16965 16970) (-29 "ACFS.spad" 13297 13306 15448 15541) (-28 "ACFS.spad" 11134 11145 13287 13292) (-27 "ACF.spad" 7736 7743 11036 11129) (-26 "ACF.spad" 4424 4433 7726 7731) (-25 "ABELSG.spad" 3965 3972 4414 4419) (-24 "ABELSG.spad" 3504 3513 3955 3960) (-23 "ABELMON.spad" 3047 3054 3494 3499) (-22 "ABELMON.spad" 2588 2597 3037 3042) (-21 "ABELGRP.spad" 2160 2167 2578 2583) (-20 "ABELGRP.spad" 1730 1739 2150 2155) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865))
\ No newline at end of file +((-3 NIL 2282825 2282830 2282835 2282840) (-2 NIL 2282805 2282810 2282815 2282820) (-1 NIL 2282785 2282790 2282795 2282800) (0 NIL 2282765 2282770 2282775 2282780) (-1287 "ZMOD.spad" 2282574 2282587 2282703 2282760) (-1286 "ZLINDEP.spad" 2281618 2281629 2282564 2282569) (-1285 "ZDSOLVE.spad" 2271467 2271489 2281608 2281613) (-1284 "YSTREAM.spad" 2270960 2270971 2271457 2271462) (-1283 "XRPOLY.spad" 2270180 2270200 2270816 2270885) (-1282 "XPR.spad" 2267971 2267984 2269898 2269997) (-1281 "XPOLY.spad" 2267526 2267537 2267827 2267896) (-1280 "XPOLYC.spad" 2266843 2266859 2267452 2267521) (-1279 "XPBWPOLY.spad" 2265280 2265300 2266623 2266692) (-1278 "XF.spad" 2263741 2263756 2265182 2265275) (-1277 "XF.spad" 2262182 2262199 2263625 2263630) (-1276 "XFALG.spad" 2259206 2259222 2262108 2262177) (-1275 "XEXPPKG.spad" 2258457 2258483 2259196 2259201) (-1274 "XDPOLY.spad" 2258071 2258087 2258313 2258382) (-1273 "XALG.spad" 2257731 2257742 2258027 2258066) (-1272 "WUTSET.spad" 2253570 2253587 2257377 2257404) (-1271 "WP.spad" 2252769 2252813 2253428 2253495) (-1270 "WHILEAST.spad" 2252567 2252576 2252759 2252764) (-1269 "WHEREAST.spad" 2252238 2252247 2252557 2252562) (-1268 "WFFINTBS.spad" 2249801 2249823 2252228 2252233) (-1267 "WEIER.spad" 2248015 2248026 2249791 2249796) (-1266 "VSPACE.spad" 2247688 2247699 2247983 2248010) (-1265 "VSPACE.spad" 2247381 2247394 2247678 2247683) (-1264 "VOID.spad" 2247058 2247067 2247371 2247376) (-1263 "VIEW.spad" 2244680 2244689 2247048 2247053) (-1262 "VIEWDEF.spad" 2239877 2239886 2244670 2244675) (-1261 "VIEW3D.spad" 2223712 2223721 2239867 2239872) (-1260 "VIEW2D.spad" 2211449 2211458 2223702 2223707) (-1259 "VECTOR.spad" 2210124 2210135 2210375 2210402) (-1258 "VECTOR2.spad" 2208751 2208764 2210114 2210119) (-1257 "VECTCAT.spad" 2206651 2206662 2208719 2208746) (-1256 "VECTCAT.spad" 2204359 2204372 2206429 2206434) (-1255 "VARIABLE.spad" 2204139 2204154 2204349 2204354) (-1254 "UTYPE.spad" 2203783 2203792 2204129 2204134) (-1253 "UTSODETL.spad" 2203076 2203100 2203739 2203744) (-1252 "UTSODE.spad" 2201264 2201284 2203066 2203071) (-1251 "UTS.spad" 2196053 2196081 2199731 2199828) (-1250 "UTSCAT.spad" 2193504 2193520 2195951 2196048) (-1249 "UTSCAT.spad" 2190599 2190617 2193048 2193053) (-1248 "UTS2.spad" 2190192 2190227 2190589 2190594) (-1247 "URAGG.spad" 2184824 2184835 2190182 2190187) (-1246 "URAGG.spad" 2179420 2179433 2184780 2184785) (-1245 "UPXSSING.spad" 2177063 2177089 2178501 2178634) (-1244 "UPXS.spad" 2174211 2174239 2175195 2175344) (-1243 "UPXSCONS.spad" 2171968 2171988 2172343 2172492) (-1242 "UPXSCCA.spad" 2170533 2170553 2171814 2171963) (-1241 "UPXSCCA.spad" 2169240 2169262 2170523 2170528) (-1240 "UPXSCAT.spad" 2167821 2167837 2169086 2169235) (-1239 "UPXS2.spad" 2167362 2167415 2167811 2167816) (-1238 "UPSQFREE.spad" 2165774 2165788 2167352 2167357) (-1237 "UPSCAT.spad" 2163367 2163391 2165672 2165769) (-1236 "UPSCAT.spad" 2160666 2160692 2162973 2162978) (-1235 "UPOLYC.spad" 2155644 2155655 2160508 2160661) (-1234 "UPOLYC.spad" 2150514 2150527 2155380 2155385) (-1233 "UPOLYC2.spad" 2149983 2150002 2150504 2150509) (-1232 "UP.spad" 2147176 2147191 2147569 2147722) (-1231 "UPMP.spad" 2146066 2146079 2147166 2147171) (-1230 "UPDIVP.spad" 2145629 2145643 2146056 2146061) (-1229 "UPDECOMP.spad" 2143866 2143880 2145619 2145624) (-1228 "UPCDEN.spad" 2143073 2143089 2143856 2143861) (-1227 "UP2.spad" 2142435 2142456 2143063 2143068) (-1226 "UNISEG.spad" 2141788 2141799 2142354 2142359) (-1225 "UNISEG2.spad" 2141281 2141294 2141744 2141749) (-1224 "UNIFACT.spad" 2140382 2140394 2141271 2141276) (-1223 "ULS.spad" 2130934 2130962 2132027 2132456) (-1222 "ULSCONS.spad" 2123328 2123348 2123700 2123849) (-1221 "ULSCCAT.spad" 2121057 2121077 2123174 2123323) (-1220 "ULSCCAT.spad" 2118894 2118916 2121013 2121018) (-1219 "ULSCAT.spad" 2117110 2117126 2118740 2118889) (-1218 "ULS2.spad" 2116622 2116675 2117100 2117105) (-1217 "UINT8.spad" 2116499 2116508 2116612 2116617) (-1216 "UINT64.spad" 2116375 2116384 2116489 2116494) (-1215 "UINT32.spad" 2116251 2116260 2116365 2116370) (-1214 "UINT16.spad" 2116127 2116136 2116241 2116246) (-1213 "UFD.spad" 2115192 2115201 2116053 2116122) (-1212 "UFD.spad" 2114319 2114330 2115182 2115187) (-1211 "UDVO.spad" 2113166 2113175 2114309 2114314) (-1210 "UDPO.spad" 2110593 2110604 2113122 2113127) (-1209 "TYPE.spad" 2110525 2110534 2110583 2110588) (-1208 "TYPEAST.spad" 2110444 2110453 2110515 2110520) (-1207 "TWOFACT.spad" 2109094 2109109 2110434 2110439) (-1206 "TUPLE.spad" 2108578 2108589 2108993 2108998) (-1205 "TUBETOOL.spad" 2105415 2105424 2108568 2108573) (-1204 "TUBE.spad" 2104056 2104073 2105405 2105410) (-1203 "TS.spad" 2102645 2102661 2103621 2103718) (-1202 "TSETCAT.spad" 2089772 2089789 2102613 2102640) (-1201 "TSETCAT.spad" 2076885 2076904 2089728 2089733) (-1200 "TRMANIP.spad" 2071251 2071268 2076591 2076596) (-1199 "TRIMAT.spad" 2070210 2070235 2071241 2071246) (-1198 "TRIGMNIP.spad" 2068727 2068744 2070200 2070205) (-1197 "TRIGCAT.spad" 2068239 2068248 2068717 2068722) (-1196 "TRIGCAT.spad" 2067749 2067760 2068229 2068234) (-1195 "TREE.spad" 2066320 2066331 2067356 2067383) (-1194 "TRANFUN.spad" 2066151 2066160 2066310 2066315) (-1193 "TRANFUN.spad" 2065980 2065991 2066141 2066146) (-1192 "TOPSP.spad" 2065654 2065663 2065970 2065975) (-1191 "TOOLSIGN.spad" 2065317 2065328 2065644 2065649) (-1190 "TEXTFILE.spad" 2063874 2063883 2065307 2065312) (-1189 "TEX.spad" 2061006 2061015 2063864 2063869) (-1188 "TEX1.spad" 2060562 2060573 2060996 2061001) (-1187 "TEMUTL.spad" 2060117 2060126 2060552 2060557) (-1186 "TBCMPPK.spad" 2058210 2058233 2060107 2060112) (-1185 "TBAGG.spad" 2057246 2057269 2058190 2058205) (-1184 "TBAGG.spad" 2056290 2056315 2057236 2057241) (-1183 "TANEXP.spad" 2055666 2055677 2056280 2056285) (-1182 "TABLE.spad" 2054077 2054100 2054347 2054374) (-1181 "TABLEAU.spad" 2053558 2053569 2054067 2054072) (-1180 "TABLBUMP.spad" 2050341 2050352 2053548 2053553) (-1179 "SYSTEM.spad" 2049569 2049578 2050331 2050336) (-1178 "SYSSOLP.spad" 2047042 2047053 2049559 2049564) (-1177 "SYSNNI.spad" 2046222 2046233 2047032 2047037) (-1176 "SYSINT.spad" 2045626 2045637 2046212 2046217) (-1175 "SYNTAX.spad" 2041820 2041829 2045616 2045621) (-1174 "SYMTAB.spad" 2039876 2039885 2041810 2041815) (-1173 "SYMS.spad" 2035861 2035870 2039866 2039871) (-1172 "SYMPOLY.spad" 2034868 2034879 2034950 2035077) (-1171 "SYMFUNC.spad" 2034343 2034354 2034858 2034863) (-1170 "SYMBOL.spad" 2031770 2031779 2034333 2034338) (-1169 "SWITCH.spad" 2028527 2028536 2031760 2031765) (-1168 "SUTS.spad" 2025426 2025454 2026994 2027091) (-1167 "SUPXS.spad" 2022561 2022589 2023558 2023707) (-1166 "SUP.spad" 2019366 2019377 2020147 2020300) (-1165 "SUPFRACF.spad" 2018471 2018489 2019356 2019361) (-1164 "SUP2.spad" 2017861 2017874 2018461 2018466) (-1163 "SUMRF.spad" 2016827 2016838 2017851 2017856) (-1162 "SUMFS.spad" 2016460 2016477 2016817 2016822) (-1161 "SULS.spad" 2006999 2007027 2008105 2008534) (-1160 "SUCHTAST.spad" 2006768 2006777 2006989 2006994) (-1159 "SUCH.spad" 2006448 2006463 2006758 2006763) (-1158 "SUBSPACE.spad" 1998455 1998470 2006438 2006443) (-1157 "SUBRESP.spad" 1997615 1997629 1998411 1998416) (-1156 "STTF.spad" 1993714 1993730 1997605 1997610) (-1155 "STTFNC.spad" 1990182 1990198 1993704 1993709) (-1154 "STTAYLOR.spad" 1982580 1982591 1990063 1990068) (-1153 "STRTBL.spad" 1981085 1981102 1981234 1981261) (-1152 "STRING.spad" 1980494 1980503 1980508 1980535) (-1151 "STRICAT.spad" 1980282 1980291 1980462 1980489) (-1150 "STREAM.spad" 1977140 1977151 1979807 1979822) (-1149 "STREAM3.spad" 1976685 1976700 1977130 1977135) (-1148 "STREAM2.spad" 1975753 1975766 1976675 1976680) (-1147 "STREAM1.spad" 1975457 1975468 1975743 1975748) (-1146 "STINPROD.spad" 1974363 1974379 1975447 1975452) (-1145 "STEP.spad" 1973564 1973573 1974353 1974358) (-1144 "STBL.spad" 1972090 1972118 1972257 1972272) (-1143 "STAGG.spad" 1971165 1971176 1972080 1972085) (-1142 "STAGG.spad" 1970238 1970251 1971155 1971160) (-1141 "STACK.spad" 1969589 1969600 1969845 1969872) (-1140 "SREGSET.spad" 1967293 1967310 1969235 1969262) (-1139 "SRDCMPK.spad" 1965838 1965858 1967283 1967288) (-1138 "SRAGG.spad" 1960935 1960944 1965806 1965833) (-1137 "SRAGG.spad" 1956052 1956063 1960925 1960930) (-1136 "SQMATRIX.spad" 1953668 1953686 1954584 1954671) (-1135 "SPLTREE.spad" 1948220 1948233 1953104 1953131) (-1134 "SPLNODE.spad" 1944808 1944821 1948210 1948215) (-1133 "SPFCAT.spad" 1943585 1943594 1944798 1944803) (-1132 "SPECOUT.spad" 1942135 1942144 1943575 1943580) (-1131 "SPADXPT.spad" 1934274 1934283 1942125 1942130) (-1130 "spad-parser.spad" 1933739 1933748 1934264 1934269) (-1129 "SPADAST.spad" 1933440 1933449 1933729 1933734) (-1128 "SPACEC.spad" 1917453 1917464 1933430 1933435) (-1127 "SPACE3.spad" 1917229 1917240 1917443 1917448) (-1126 "SORTPAK.spad" 1916774 1916787 1917185 1917190) (-1125 "SOLVETRA.spad" 1914531 1914542 1916764 1916769) (-1124 "SOLVESER.spad" 1913051 1913062 1914521 1914526) (-1123 "SOLVERAD.spad" 1909061 1909072 1913041 1913046) (-1122 "SOLVEFOR.spad" 1907481 1907499 1909051 1909056) (-1121 "SNTSCAT.spad" 1907081 1907098 1907449 1907476) (-1120 "SMTS.spad" 1905341 1905367 1906646 1906743) (-1119 "SMP.spad" 1902816 1902836 1903206 1903333) (-1118 "SMITH.spad" 1901659 1901684 1902806 1902811) (-1117 "SMATCAT.spad" 1899769 1899799 1901603 1901654) (-1116 "SMATCAT.spad" 1897811 1897843 1899647 1899652) (-1115 "SKAGG.spad" 1896772 1896783 1897779 1897806) (-1114 "SINT.spad" 1895598 1895607 1896638 1896767) (-1113 "SIMPAN.spad" 1895326 1895335 1895588 1895593) (-1112 "SIG.spad" 1894654 1894663 1895316 1895321) (-1111 "SIGNRF.spad" 1893762 1893773 1894644 1894649) (-1110 "SIGNEF.spad" 1893031 1893048 1893752 1893757) (-1109 "SIGAST.spad" 1892412 1892421 1893021 1893026) (-1108 "SHP.spad" 1890330 1890345 1892368 1892373) (-1107 "SHDP.spad" 1880041 1880068 1880550 1880681) (-1106 "SGROUP.spad" 1879649 1879658 1880031 1880036) (-1105 "SGROUP.spad" 1879255 1879266 1879639 1879644) (-1104 "SGCF.spad" 1872136 1872145 1879245 1879250) (-1103 "SFRTCAT.spad" 1871064 1871081 1872104 1872131) (-1102 "SFRGCD.spad" 1870127 1870147 1871054 1871059) (-1101 "SFQCMPK.spad" 1864764 1864784 1870117 1870122) (-1100 "SFORT.spad" 1864199 1864213 1864754 1864759) (-1099 "SEXOF.spad" 1864042 1864082 1864189 1864194) (-1098 "SEX.spad" 1863934 1863943 1864032 1864037) (-1097 "SEXCAT.spad" 1861485 1861525 1863924 1863929) (-1096 "SET.spad" 1859785 1859796 1860906 1860945) (-1095 "SETMN.spad" 1858219 1858236 1859775 1859780) (-1094 "SETCAT.spad" 1857541 1857550 1858209 1858214) (-1093 "SETCAT.spad" 1856861 1856872 1857531 1857536) (-1092 "SETAGG.spad" 1853382 1853393 1856841 1856856) (-1091 "SETAGG.spad" 1849911 1849924 1853372 1853377) (-1090 "SEQAST.spad" 1849614 1849623 1849901 1849906) (-1089 "SEGXCAT.spad" 1848736 1848749 1849604 1849609) (-1088 "SEG.spad" 1848549 1848560 1848655 1848660) (-1087 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(-807 "ODERED.spad" 1338673 1338697 1339276 1339281) (-806 "ODERAT.spad" 1336224 1336241 1338663 1338668) (-805 "ODEPRRIC.spad" 1333115 1333137 1336214 1336219) (-804 "ODEPROB.spad" 1332372 1332380 1333105 1333110) (-803 "ODEPRIM.spad" 1329646 1329668 1332362 1332367) (-802 "ODEPAL.spad" 1329022 1329046 1329636 1329641) (-801 "ODEPACK.spad" 1315624 1315632 1329012 1329017) (-800 "ODEINT.spad" 1315055 1315071 1315614 1315619) (-799 "ODEIFTBL.spad" 1312450 1312458 1315045 1315050) (-798 "ODEEF.spad" 1307817 1307833 1312440 1312445) (-797 "ODECONST.spad" 1307336 1307354 1307807 1307812) (-796 "ODECAT.spad" 1305932 1305940 1307326 1307331) (-795 "OCT.spad" 1304070 1304080 1304786 1304825) (-794 "OCTCT2.spad" 1303714 1303735 1304060 1304065) (-793 "OC.spad" 1301488 1301498 1303670 1303709) (-792 "OC.spad" 1298987 1298999 1301171 1301176) (-791 "OCAMON.spad" 1298835 1298843 1298977 1298982) (-790 "OASGP.spad" 1298650 1298658 1298825 1298830) (-789 "OAMONS.spad" 1298170 1298178 1298640 1298645) (-788 "OAMON.spad" 1298031 1298039 1298160 1298165) (-787 "OAGROUP.spad" 1297893 1297901 1298021 1298026) (-786 "NUMTUBE.spad" 1297480 1297496 1297883 1297888) (-785 "NUMQUAD.spad" 1285342 1285350 1297470 1297475) (-784 "NUMODE.spad" 1276478 1276486 1285332 1285337) (-783 "NUMINT.spad" 1274036 1274044 1276468 1276473) (-782 "NUMFMT.spad" 1272876 1272884 1274026 1274031) (-781 "NUMERIC.spad" 1264948 1264958 1272681 1272686) (-780 "NTSCAT.spad" 1263450 1263466 1264916 1264943) (-779 "NTPOLFN.spad" 1262995 1263005 1263367 1263372) (-778 "NSUP.spad" 1256041 1256051 1260581 1260734) (-777 "NSUP2.spad" 1255433 1255445 1256031 1256036) (-776 "NSMP.spad" 1251664 1251683 1251972 1252099) (-775 "NREP.spad" 1250036 1250050 1251654 1251659) (-774 "NPCOEF.spad" 1249282 1249302 1250026 1250031) (-773 "NORMRETR.spad" 1248880 1248919 1249272 1249277) (-772 "NORMPK.spad" 1246782 1246801 1248870 1248875) (-771 "NORMMA.spad" 1246470 1246496 1246772 1246777) (-770 "NONE.spad" 1246211 1246219 1246460 1246465) (-769 "NONE1.spad" 1245887 1245897 1246201 1246206) (-768 "NODE1.spad" 1245356 1245372 1245877 1245882) (-767 "NNI.spad" 1244243 1244251 1245330 1245351) (-766 "NLINSOL.spad" 1242865 1242875 1244233 1244238) (-765 "NIPROB.spad" 1241406 1241414 1242855 1242860) (-764 "NFINTBAS.spad" 1238866 1238883 1241396 1241401) (-763 "NETCLT.spad" 1238840 1238851 1238856 1238861) (-762 "NCODIV.spad" 1237038 1237054 1238830 1238835) (-761 "NCNTFRAC.spad" 1236680 1236694 1237028 1237033) (-760 "NCEP.spad" 1234840 1234854 1236670 1236675) (-759 "NASRING.spad" 1234436 1234444 1234830 1234835) (-758 "NASRING.spad" 1234030 1234040 1234426 1234431) (-757 "NARNG.spad" 1233374 1233382 1234020 1234025) (-756 "NARNG.spad" 1232716 1232726 1233364 1233369) (-755 "NAGSP.spad" 1231789 1231797 1232706 1232711) (-754 "NAGS.spad" 1221314 1221322 1231779 1231784) (-753 "NAGF07.spad" 1219707 1219715 1221304 1221309) (-752 "NAGF04.spad" 1213939 1213947 1219697 1219702) (-751 "NAGF02.spad" 1207748 1207756 1213929 1213934) (-750 "NAGF01.spad" 1203351 1203359 1207738 1207743) (-749 "NAGE04.spad" 1196811 1196819 1203341 1203346) (-748 "NAGE02.spad" 1187153 1187161 1196801 1196806) (-747 "NAGE01.spad" 1183037 1183045 1187143 1187148) (-746 "NAGD03.spad" 1180957 1180965 1183027 1183032) (-745 "NAGD02.spad" 1173488 1173496 1180947 1180952) (-744 "NAGD01.spad" 1167601 1167609 1173478 1173483) (-743 "NAGC06.spad" 1163388 1163396 1167591 1167596) (-742 "NAGC05.spad" 1161857 1161865 1163378 1163383) (-741 "NAGC02.spad" 1161112 1161120 1161847 1161852) (-740 "NAALG.spad" 1160647 1160657 1161080 1161107) (-739 "NAALG.spad" 1160202 1160214 1160637 1160642) (-738 "MULTSQFR.spad" 1157160 1157177 1160192 1160197) (-737 "MULTFACT.spad" 1156543 1156560 1157150 1157155) (-736 "MTSCAT.spad" 1154577 1154598 1156441 1156538) (-735 "MTHING.spad" 1154234 1154244 1154567 1154572) (-734 "MSYSCMD.spad" 1153668 1153676 1154224 1154229) (-733 "MSET.spad" 1151610 1151620 1153374 1153413) (-732 "MSETAGG.spad" 1151455 1151465 1151578 1151605) (-731 "MRING.spad" 1148426 1148438 1151163 1151230) (-730 "MRF2.spad" 1147994 1148008 1148416 1148421) (-729 "MRATFAC.spad" 1147540 1147557 1147984 1147989) (-728 "MPRFF.spad" 1145570 1145589 1147530 1147535) (-727 "MPOLY.spad" 1143041 1143056 1143400 1143527) (-726 "MPCPF.spad" 1142305 1142324 1143031 1143036) (-725 "MPC3.spad" 1142120 1142160 1142295 1142300) (-724 "MPC2.spad" 1141762 1141795 1142110 1142115) (-723 "MONOTOOL.spad" 1140097 1140114 1141752 1141757) (-722 "MONOID.spad" 1139416 1139424 1140087 1140092) (-721 "MONOID.spad" 1138733 1138743 1139406 1139411) (-720 "MONOGEN.spad" 1137479 1137492 1138593 1138728) (-719 "MONOGEN.spad" 1136247 1136262 1137363 1137368) (-718 "MONADWU.spad" 1134261 1134269 1136237 1136242) (-717 "MONADWU.spad" 1132273 1132283 1134251 1134256) (-716 "MONAD.spad" 1131417 1131425 1132263 1132268) (-715 "MONAD.spad" 1130559 1130569 1131407 1131412) (-714 "MOEBIUS.spad" 1129245 1129259 1130539 1130554) (-713 "MODULE.spad" 1129115 1129125 1129213 1129240) (-712 "MODULE.spad" 1129005 1129017 1129105 1129110) (-711 "MODRING.spad" 1128336 1128375 1128985 1129000) (-710 "MODOP.spad" 1126995 1127007 1128158 1128225) (-709 "MODMONOM.spad" 1126724 1126742 1126985 1126990) (-708 "MODMON.spad" 1123519 1123535 1124238 1124391) (-707 "MODFIELD.spad" 1122877 1122916 1123421 1123514) (-706 "MMLFORM.spad" 1121737 1121745 1122867 1122872) (-705 "MMAP.spad" 1121477 1121511 1121727 1121732) (-704 "MLO.spad" 1119904 1119914 1121433 1121472) (-703 "MLIFT.spad" 1118476 1118493 1119894 1119899) (-702 "MKUCFUNC.spad" 1118009 1118027 1118466 1118471) (-701 "MKRECORD.spad" 1117611 1117624 1117999 1118004) (-700 "MKFUNC.spad" 1116992 1117002 1117601 1117606) (-699 "MKFLCFN.spad" 1115948 1115958 1116982 1116987) (-698 "MKBCFUNC.spad" 1115433 1115451 1115938 1115943) (-697 "MINT.spad" 1114872 1114880 1115335 1115428) (-696 "MHROWRED.spad" 1113373 1113383 1114862 1114867) (-695 "MFLOAT.spad" 1111889 1111897 1113263 1113368) (-694 "MFINFACT.spad" 1111289 1111311 1111879 1111884) (-693 "MESH.spad" 1109021 1109029 1111279 1111284) (-692 "MDDFACT.spad" 1107214 1107224 1109011 1109016) (-691 "MDAGG.spad" 1106501 1106511 1107194 1107209) (-690 "MCMPLX.spad" 1102513 1102521 1103127 1103328) (-689 "MCDEN.spad" 1101721 1101733 1102503 1102508) (-688 "MCALCFN.spad" 1098823 1098849 1101711 1101716) (-687 "MAYBE.spad" 1098107 1098118 1098813 1098818) (-686 "MATSTOR.spad" 1095383 1095393 1098097 1098102) (-685 "MATRIX.spad" 1094087 1094097 1094571 1094598) (-684 "MATLIN.spad" 1091413 1091437 1093971 1093976) (-683 "MATCAT.spad" 1082998 1083020 1091381 1091408) (-682 "MATCAT.spad" 1074455 1074479 1082840 1082845) (-681 "MATCAT2.spad" 1073723 1073771 1074445 1074450) (-680 "MAPPKG3.spad" 1072622 1072636 1073713 1073718) (-679 "MAPPKG2.spad" 1071956 1071968 1072612 1072617) (-678 "MAPPKG1.spad" 1070774 1070784 1071946 1071951) (-677 "MAPPAST.spad" 1070087 1070095 1070764 1070769) (-676 "MAPHACK3.spad" 1069895 1069909 1070077 1070082) (-675 "MAPHACK2.spad" 1069660 1069672 1069885 1069890) (-674 "MAPHACK1.spad" 1069290 1069300 1069650 1069655) (-673 "MAGMA.spad" 1067080 1067097 1069280 1069285) (-672 "MACROAST.spad" 1066659 1066667 1067070 1067075) (-671 "M3D.spad" 1064355 1064365 1066037 1066042) (-670 "LZSTAGG.spad" 1061583 1061593 1064345 1064350) (-669 "LZSTAGG.spad" 1058809 1058821 1061573 1061578) (-668 "LWORD.spad" 1055514 1055531 1058799 1058804) (-667 "LSTAST.spad" 1055298 1055306 1055504 1055509) (-666 "LSQM.spad" 1053524 1053538 1053922 1053973) (-665 "LSPP.spad" 1053057 1053074 1053514 1053519) (-664 "LSMP.spad" 1051897 1051925 1053047 1053052) (-663 "LSMP1.spad" 1049701 1049715 1051887 1051892) (-662 "LSAGG.spad" 1049370 1049380 1049669 1049696) (-661 "LSAGG.spad" 1049059 1049071 1049360 1049365) (-660 "LPOLY.spad" 1048013 1048032 1048915 1048984) (-659 "LPEFRAC.spad" 1047270 1047280 1048003 1048008) (-658 "LO.spad" 1046671 1046685 1047204 1047231) (-657 "LOGIC.spad" 1046273 1046281 1046661 1046666) (-656 "LOGIC.spad" 1045873 1045883 1046263 1046268) (-655 "LODOOPS.spad" 1044791 1044803 1045863 1045868) (-654 "LODO.spad" 1044175 1044191 1044471 1044510) (-653 "LODOF.spad" 1043219 1043236 1044132 1044137) (-652 "LODOCAT.spad" 1041877 1041887 1043175 1043214) (-651 "LODOCAT.spad" 1040533 1040545 1041833 1041838) (-650 "LODO2.spad" 1039806 1039818 1040213 1040252) (-649 "LODO1.spad" 1039206 1039216 1039486 1039525) (-648 "LODEEF.spad" 1037978 1037996 1039196 1039201) (-647 "LNAGG.spad" 1033780 1033790 1037968 1037973) (-646 "LNAGG.spad" 1029546 1029558 1033736 1033741) (-645 "LMOPS.spad" 1026282 1026299 1029536 1029541) (-644 "LMODULE.spad" 1025924 1025934 1026272 1026277) (-643 "LMDICT.spad" 1025207 1025217 1025475 1025502) (-642 "LITERAL.spad" 1025113 1025124 1025197 1025202) (-641 "LIST.spad" 1022831 1022841 1024260 1024287) (-640 "LIST3.spad" 1022122 1022136 1022821 1022826) (-639 "LIST2.spad" 1020762 1020774 1022112 1022117) (-638 "LIST2MAP.spad" 1017639 1017651 1020752 1020757) (-637 "LINEXP.spad" 1017071 1017081 1017619 1017634) (-636 "LINDEP.spad" 1015848 1015860 1016983 1016988) (-635 "LIMITRF.spad" 1013762 1013772 1015838 1015843) (-634 "LIMITPS.spad" 1012645 1012658 1013752 1013757) (-633 "LIE.spad" 1010659 1010671 1011935 1012080) (-632 "LIECAT.spad" 1010135 1010145 1010585 1010654) (-631 "LIECAT.spad" 1009639 1009651 1010091 1010096) (-630 "LIB.spad" 1007687 1007695 1008298 1008313) (-629 "LGROBP.spad" 1005040 1005059 1007677 1007682) (-628 "LF.spad" 1003959 1003975 1005030 1005035) (-627 "LFCAT.spad" 1002978 1002986 1003949 1003954) (-626 "LEXTRIPK.spad" 998481 998496 1002968 1002973) (-625 "LEXP.spad" 996484 996511 998461 998476) (-624 "LETAST.spad" 996183 996191 996474 996479) (-623 "LEADCDET.spad" 994567 994584 996173 996178) (-622 "LAZM3PK.spad" 993271 993293 994557 994562) (-621 "LAUPOL.spad" 991960 991973 992864 992933) (-620 "LAPLACE.spad" 991533 991549 991950 991955) (-619 "LA.spad" 990973 990987 991455 991494) (-618 "LALG.spad" 990749 990759 990953 990968) (-617 "LALG.spad" 990533 990545 990739 990744) (-616 "KVTFROM.spad" 990268 990278 990523 990528) (-615 "KTVLOGIC.spad" 989691 989699 990258 990263) (-614 "KRCFROM.spad" 989429 989439 989681 989686) (-613 "KOVACIC.spad" 988142 988159 989419 989424) (-612 "KONVERT.spad" 987864 987874 988132 988137) (-611 "KOERCE.spad" 987601 987611 987854 987859) (-610 "KERNEL.spad" 986136 986146 987385 987390) (-609 "KERNEL2.spad" 985839 985851 986126 986131) (-608 "KDAGG.spad" 984942 984964 985819 985834) (-607 "KDAGG.spad" 984053 984077 984932 984937) (-606 "KAFILE.spad" 983016 983032 983251 983278) (-605 "JORDAN.spad" 980843 980855 982306 982451) (-604 "JOINAST.spad" 980537 980545 980833 980838) (-603 "JAVACODE.spad" 980403 980411 980527 980532) (-602 "IXAGG.spad" 978526 978550 980393 980398) (-601 "IXAGG.spad" 976504 976530 978373 978378) (-600 "IVECTOR.spad" 975275 975290 975430 975457) (-599 "ITUPLE.spad" 974420 974430 975265 975270) (-598 "ITRIGMNP.spad" 973231 973250 974410 974415) (-597 "ITFUN3.spad" 972725 972739 973221 973226) (-596 "ITFUN2.spad" 972455 972467 972715 972720) (-595 "ITAYLOR.spad" 970247 970262 972291 972416) (-594 "ISUPS.spad" 962658 962673 969221 969318) (-593 "ISUMP.spad" 962155 962171 962648 962653) (-592 "ISTRING.spad" 961158 961171 961324 961351) (-591 "ISAST.spad" 960877 960885 961148 961153) (-590 "IRURPK.spad" 959590 959609 960867 960872) (-589 "IRSN.spad" 957550 957558 959580 959585) (-588 "IRRF2F.spad" 956025 956035 957506 957511) (-587 "IRREDFFX.spad" 955626 955637 956015 956020) (-586 "IROOT.spad" 953957 953967 955616 955621) (-585 "IR.spad" 951746 951760 953812 953839) (-584 "IR2.spad" 950766 950782 951736 951741) (-583 "IR2F.spad" 949966 949982 950756 950761) (-582 "IPRNTPK.spad" 949726 949734 949956 949961) (-581 "IPF.spad" 949291 949303 949531 949624) (-580 "IPADIC.spad" 949052 949078 949217 949286) (-579 "IP4ADDR.spad" 948609 948617 949042 949047) (-578 "IOMODE.spad" 948230 948238 948599 948604) (-577 "IOBFILE.spad" 947591 947599 948220 948225) (-576 "IOBCON.spad" 947456 947464 947581 947586) (-575 "INVLAPLA.spad" 947101 947117 947446 947451) (-574 "INTTR.spad" 940347 940364 947091 947096) (-573 "INTTOOLS.spad" 938058 938074 939921 939926) (-572 "INTSLPE.spad" 937364 937372 938048 938053) (-571 "INTRVL.spad" 936930 936940 937278 937359) (-570 "INTRF.spad" 935294 935308 936920 936925) (-569 "INTRET.spad" 934726 934736 935284 935289) (-568 "INTRAT.spad" 933401 933418 934716 934721) (-567 "INTPM.spad" 931764 931780 933044 933049) (-566 "INTPAF.spad" 929532 929550 931696 931701) (-565 "INTPACK.spad" 919842 919850 929522 929527) (-564 "INT.spad" 919203 919211 919696 919837) (-563 "INTHERTR.spad" 918469 918486 919193 919198) (-562 "INTHERAL.spad" 918135 918159 918459 918464) (-561 "INTHEORY.spad" 914548 914556 918125 918130) (-560 "INTG0.spad" 908011 908029 914480 914485) (-559 "INTFTBL.spad" 902040 902048 908001 908006) (-558 "INTFACT.spad" 901099 901109 902030 902035) (-557 "INTEF.spad" 899414 899430 901089 901094) (-556 "INTDOM.spad" 898029 898037 899340 899409) (-555 "INTDOM.spad" 896706 896716 898019 898024) (-554 "INTCAT.spad" 894959 894969 896620 896701) (-553 "INTBIT.spad" 894462 894470 894949 894954) (-552 "INTALG.spad" 893644 893671 894452 894457) (-551 "INTAF.spad" 893136 893152 893634 893639) (-550 "INTABL.spad" 891654 891685 891817 891844) (-549 "INT8.spad" 891534 891542 891644 891649) (-548 "INT64.spad" 891413 891421 891524 891529) (-547 "INT32.spad" 891292 891300 891403 891408) (-546 "INT16.spad" 891171 891179 891282 891287) (-545 "INS.spad" 888638 888646 891073 891166) (-544 "INS.spad" 886191 886201 888628 888633) (-543 "INPSIGN.spad" 885625 885638 886181 886186) (-542 "INPRODPF.spad" 884691 884710 885615 885620) (-541 "INPRODFF.spad" 883749 883773 884681 884686) (-540 "INNMFACT.spad" 882720 882737 883739 883744) (-539 "INMODGCD.spad" 882204 882234 882710 882715) (-538 "INFSP.spad" 880489 880511 882194 882199) (-537 "INFPROD0.spad" 879539 879558 880479 880484) (-536 "INFORM.spad" 876700 876708 879529 879534) (-535 "INFORM1.spad" 876325 876335 876690 876695) (-534 "INFINITY.spad" 875877 875885 876315 876320) (-533 "INETCLTS.spad" 875854 875862 875867 875872) (-532 "INEP.spad" 874386 874408 875844 875849) (-531 "INDE.spad" 874115 874132 874376 874381) (-530 "INCRMAPS.spad" 873536 873546 874105 874110) (-529 "INBFILE.spad" 872608 872616 873526 873531) (-528 "INBFF.spad" 868378 868389 872598 872603) (-527 "INBCON.spad" 866666 866674 868368 868373) (-526 "INBCON.spad" 864952 864962 866656 866661) (-525 "INAST.spad" 864613 864621 864942 864947) (-524 "IMPTAST.spad" 864321 864329 864603 864608) (-523 "IMATRIX.spad" 863266 863292 863778 863805) (-522 "IMATQF.spad" 862360 862404 863222 863227) (-521 "IMATLIN.spad" 860965 860989 862316 862321) (-520 "ILIST.spad" 859621 859636 860148 860175) (-519 "IIARRAY2.spad" 859009 859047 859228 859255) (-518 "IFF.spad" 858419 858435 858690 858783) (-517 "IFAST.spad" 858033 858041 858409 858414) (-516 "IFARRAY.spad" 855520 855535 857216 857243) (-515 "IFAMON.spad" 855382 855399 855476 855481) (-514 "IEVALAB.spad" 854771 854783 855372 855377) (-513 "IEVALAB.spad" 854158 854172 854761 854766) (-512 "IDPO.spad" 853956 853968 854148 854153) (-511 "IDPOAMS.spad" 853712 853724 853946 853951) (-510 "IDPOAM.spad" 853432 853444 853702 853707) (-509 "IDPC.spad" 852366 852378 853422 853427) (-508 "IDPAM.spad" 852111 852123 852356 852361) (-507 "IDPAG.spad" 851858 851870 852101 852106) (-506 "IDENT.spad" 851508 851516 851848 851853) (-505 "IDECOMP.spad" 848745 848763 851498 851503) (-504 "IDEAL.spad" 843668 843707 848680 848685) (-503 "ICDEN.spad" 842819 842835 843658 843663) (-502 "ICARD.spad" 842008 842016 842809 842814) (-501 "IBPTOOLS.spad" 840601 840618 841998 842003) (-500 "IBITS.spad" 839800 839813 840237 840264) (-499 "IBATOOL.spad" 836675 836694 839790 839795) (-498 "IBACHIN.spad" 835162 835177 836665 836670) (-497 "IARRAY2.spad" 834150 834176 834769 834796) (-496 "IARRAY1.spad" 833195 833210 833333 833360) (-495 "IAN.spad" 831408 831416 833011 833104) (-494 "IALGFACT.spad" 831009 831042 831398 831403) (-493 "HYPCAT.spad" 830433 830441 830999 831004) (-492 "HYPCAT.spad" 829855 829865 830423 830428) (-491 "HOSTNAME.spad" 829663 829671 829845 829850) (-490 "HOMOTOP.spad" 829406 829416 829653 829658) (-489 "HOAGG.spad" 826674 826684 829396 829401) (-488 "HOAGG.spad" 823717 823729 826441 826446) (-487 "HEXADEC.spad" 821819 821827 822184 822277) (-486 "HEUGCD.spad" 820834 820845 821809 821814) (-485 "HELLFDIV.spad" 820424 820448 820824 820829) (-484 "HEAP.spad" 819816 819826 820031 820058) (-483 "HEADAST.spad" 819347 819355 819806 819811) (-482 "HDP.spad" 809190 809206 809567 809698) (-481 "HDMP.spad" 806402 806417 807020 807147) (-480 "HB.spad" 804639 804647 806392 806397) (-479 "HASHTBL.spad" 803109 803140 803320 803347) (-478 "HASAST.spad" 802825 802833 803099 803104) (-477 "HACKPI.spad" 802308 802316 802727 802820) (-476 "GTSET.spad" 801247 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770825) (-455 "GENEEZ.spad" 768221 768234 770272 770277) (-454 "GDMP.spad" 765275 765292 766051 766178) (-453 "GCNAALG.spad" 759170 759197 765069 765136) (-452 "GCDDOM.spad" 758342 758350 759096 759165) (-451 "GCDDOM.spad" 757576 757586 758332 758337) (-450 "GB.spad" 755094 755132 757532 757537) (-449 "GBINTERN.spad" 751114 751152 755084 755089) (-448 "GBF.spad" 746871 746909 751104 751109) (-447 "GBEUCLID.spad" 744745 744783 746861 746866) (-446 "GAUSSFAC.spad" 744042 744050 744735 744740) (-445 "GALUTIL.spad" 742364 742374 743998 744003) (-444 "GALPOLYU.spad" 740810 740823 742354 742359) (-443 "GALFACTU.spad" 738975 738994 740800 740805) (-442 "GALFACT.spad" 729108 729119 738965 738970) (-441 "FVFUN.spad" 726131 726139 729098 729103) (-440 "FVC.spad" 725183 725191 726121 726126) (-439 "FUNDESC.spad" 724861 724869 725173 725178) (-438 "FUNCTION.spad" 724710 724722 724851 724856) (-437 "FT.spad" 723003 723011 724700 724705) (-436 "FTEM.spad" 722166 722174 722993 722998) (-435 "FSUPFACT.spad" 721066 721085 722102 722107) (-434 "FST.spad" 719152 719160 721056 721061) (-433 "FSRED.spad" 718630 718646 719142 719147) (-432 "FSPRMELT.spad" 717454 717470 718587 718592) (-431 "FSPECF.spad" 715531 715547 717444 717449) (-430 "FS.spad" 709593 709603 715306 715526) (-429 "FS.spad" 703433 703445 709148 709153) (-428 "FSINT.spad" 703091 703107 703423 703428) (-427 "FSERIES.spad" 702278 702290 702911 703010) (-426 "FSCINT.spad" 701591 701607 702268 702273) (-425 "FSAGG.spad" 700708 700718 701547 701586) (-424 "FSAGG.spad" 699787 699799 700628 700633) (-423 "FSAGG2.spad" 698486 698502 699777 699782) (-422 "FS2UPS.spad" 692969 693003 698476 698481) (-421 "FS2.spad" 692614 692630 692959 692964) (-420 "FS2EXPXP.spad" 691737 691760 692604 692609) (-419 "FRUTIL.spad" 690679 690689 691727 691732) (-418 "FR.spad" 684373 684383 689703 689772) (-417 "FRNAALG.spad" 679460 679470 684315 684368) (-416 "FRNAALG.spad" 674559 674571 679416 679421) (-415 "FRNAAF2.spad" 674013 674031 674549 674554) (-414 "FRMOD.spad" 673407 673437 673944 673949) (-413 "FRIDEAL.spad" 672602 672623 673387 673402) (-412 "FRIDEAL2.spad" 672204 672236 672592 672597) (-411 "FRETRCT.spad" 671715 671725 672194 672199) (-410 "FRETRCT.spad" 671092 671104 671573 671578) (-409 "FRAMALG.spad" 669420 669433 671048 671087) (-408 "FRAMALG.spad" 667780 667795 669410 669415) (-407 "FRAC.spad" 664879 664889 665282 665455) (-406 "FRAC2.spad" 664482 664494 664869 664874) (-405 "FR2.spad" 663816 663828 664472 664477) (-404 "FPS.spad" 660625 660633 663706 663811) (-403 "FPS.spad" 657462 657472 660545 660550) (-402 "FPC.spad" 656504 656512 657364 657457) (-401 "FPC.spad" 655632 655642 656494 656499) (-400 "FPATMAB.spad" 655394 655404 655622 655627) (-399 "FPARFRAC.spad" 653867 653884 655384 655389) (-398 "FORTRAN.spad" 652373 652416 653857 653862) (-397 "FORT.spad" 651302 651310 652363 652368) (-396 "FORTFN.spad" 648472 648480 651292 651297) (-395 "FORTCAT.spad" 648156 648164 648462 648467) (-394 "FORMULA.spad" 645620 645628 648146 648151) (-393 "FORMULA1.spad" 645099 645109 645610 645615) (-392 "FORDER.spad" 644790 644814 645089 645094) (-391 "FOP.spad" 643991 643999 644780 644785) (-390 "FNLA.spad" 643415 643437 643959 643986) (-389 "FNCAT.spad" 642002 642010 643405 643410) (-388 "FNAME.spad" 641894 641902 641992 641997) (-387 "FMTC.spad" 641692 641700 641820 641889) (-386 "FMONOID.spad" 638747 638757 641648 641653) (-385 "FM.spad" 638442 638454 638681 638708) (-384 "FMFUN.spad" 635472 635480 638432 638437) (-383 "FMC.spad" 634524 634532 635462 635467) (-382 "FMCAT.spad" 632178 632196 634492 634519) (-381 "FM1.spad" 631535 631547 632112 632139) (-380 "FLOATRP.spad" 629256 629270 631525 631530) (-379 "FLOAT.spad" 622544 622552 629122 629251) (-378 "FLOATCP.spad" 619961 619975 622534 622539) (-377 "FLINEXP.spad" 619673 619683 619941 619956) (-376 "FLINEXP.spad" 619339 619351 619609 619614) (-375 "FLASORT.spad" 618659 618671 619329 619334) (-374 "FLALG.spad" 616305 616324 618585 618654) (-373 "FLAGG.spad" 613323 613333 616285 616300) (-372 "FLAGG.spad" 610242 610254 613206 613211) (-371 "FLAGG2.spad" 608923 608939 610232 610237) (-370 "FINRALG.spad" 606952 606965 608879 608918) (-369 "FINRALG.spad" 604907 604922 606836 606841) (-368 "FINITE.spad" 604059 604067 604897 604902) (-367 "FINAALG.spad" 593040 593050 604001 604054) (-366 "FINAALG.spad" 582033 582045 592996 593001) (-365 "FILE.spad" 581616 581626 582023 582028) (-364 "FILECAT.spad" 580134 580151 581606 581611) (-363 "FIELD.spad" 579540 579548 580036 580129) (-362 "FIELD.spad" 579032 579042 579530 579535) (-361 "FGROUP.spad" 577641 577651 579012 579027) (-360 "FGLMICPK.spad" 576428 576443 577631 577636) (-359 "FFX.spad" 575803 575818 576144 576237) (-358 "FFSLPE.spad" 575292 575313 575793 575798) (-357 "FFPOLY.spad" 566544 566555 575282 575287) (-356 "FFPOLY2.spad" 565604 565621 566534 566539) (-355 "FFP.spad" 565001 565021 565320 565413) (-354 "FF.spad" 564449 564465 564682 564775) (-353 "FFNBX.spad" 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(-332 "FCPAK1.spad" 515815 515823 517252 517257) (-331 "FCOMP.spad" 515194 515204 515805 515810) (-330 "FC.spad" 505109 505117 515184 515189) (-329 "FAXF.spad" 498044 498058 505011 505104) (-328 "FAXF.spad" 491031 491047 498000 498005) (-327 "FARRAY.spad" 489177 489187 490214 490241) (-326 "FAMR.spad" 487297 487309 489075 489172) (-325 "FAMR.spad" 485401 485415 487181 487186) (-324 "FAMONOID.spad" 485051 485061 485355 485360) (-323 "FAMONC.spad" 483273 483285 485041 485046) (-322 "FAGROUP.spad" 482879 482889 483169 483196) (-321 "FACUTIL.spad" 481075 481092 482869 482874) (-320 "FACTFUNC.spad" 480251 480261 481065 481070) (-319 "EXPUPXS.spad" 477084 477107 478383 478532) (-318 "EXPRTUBE.spad" 474312 474320 477074 477079) (-317 "EXPRODE.spad" 471184 471200 474302 474307) (-316 "EXPR.spad" 466459 466469 467173 467580) (-315 "EXPR2UPS.spad" 462551 462564 466449 466454) (-314 "EXPR2.spad" 462254 462266 462541 462546) (-313 "EXPEXPAN.spad" 459192 459217 459826 459919) (-312 "EXIT.spad" 458863 458871 459182 459187) (-311 "EXITAST.spad" 458599 458607 458853 458858) (-310 "EVALCYC.spad" 458057 458071 458589 458594) (-309 "EVALAB.spad" 457621 457631 458047 458052) (-308 "EVALAB.spad" 457183 457195 457611 457616) (-307 "EUCDOM.spad" 454725 454733 457109 457178) (-306 "EUCDOM.spad" 452329 452339 454715 454720) (-305 "ESTOOLS.spad" 444169 444177 452319 452324) (-304 "ESTOOLS2.spad" 443770 443784 444159 444164) (-303 "ESTOOLS1.spad" 443455 443466 443760 443765) (-302 "ES.spad" 436002 436010 443445 443450) (-301 "ES.spad" 428455 428465 435900 435905) (-300 "ESCONT.spad" 425228 425236 428445 428450) (-299 "ESCONT1.spad" 424977 424989 425218 425223) (-298 "ES2.spad" 424472 424488 424967 424972) (-297 "ES1.spad" 424038 424054 424462 424467) (-296 "ERROR.spad" 421359 421367 424028 424033) (-295 "EQTBL.spad" 419831 419853 420040 420067) (-294 "EQ.spad" 414705 414715 417504 417616) (-293 "EQ2.spad" 414421 414433 414695 414700) (-292 "EP.spad" 410735 410745 414411 414416) (-291 "ENV.spad" 409387 409395 410725 410730) (-290 "ENTIRER.spad" 409055 409063 409331 409382) (-289 "EMR.spad" 408256 408297 408981 409050) (-288 "ELTAGG.spad" 406496 406515 408246 408251) (-287 "ELTAGG.spad" 404700 404721 406452 406457) (-286 "ELTAB.spad" 404147 404165 404690 404695) (-285 "ELFUTS.spad" 403526 403545 404137 404142) (-284 "ELEMFUN.spad" 403215 403223 403516 403521) (-283 "ELEMFUN.spad" 402902 402912 403205 403210) (-282 "ELAGG.spad" 400845 400855 402882 402897) (-281 "ELAGG.spad" 398725 398737 400764 400769) (-280 "ELABEXPR.spad" 397648 397656 398715 398720) (-279 "EFUPXS.spad" 394424 394454 397604 397609) (-278 "EFULS.spad" 391260 391283 394380 394385) (-277 "EFSTRUC.spad" 389215 389231 391250 391255) (-276 "EF.spad" 383981 383997 389205 389210) (-275 "EAB.spad" 382257 382265 383971 383976) (-274 "E04UCFA.spad" 381793 381801 382247 382252) (-273 "E04NAFA.spad" 381370 381378 381783 381788) (-272 "E04MBFA.spad" 380950 380958 381360 381365) (-271 "E04JAFA.spad" 380486 380494 380940 380945) (-270 "E04GCFA.spad" 380022 380030 380476 380481) (-269 "E04FDFA.spad" 379558 379566 380012 380017) (-268 "E04DGFA.spad" 379094 379102 379548 379553) (-267 "E04AGNT.spad" 374936 374944 379084 379089) (-266 "DVARCAT.spad" 371621 371631 374926 374931) (-265 "DVARCAT.spad" 368304 368316 371611 371616) (-264 "DSMP.spad" 365771 365785 366076 366203) (-263 "DROPT.spad" 359716 359724 365761 365766) (-262 "DROPT1.spad" 359379 359389 359706 359711) (-261 "DROPT0.spad" 354206 354214 359369 359374) (-260 "DRAWPT.spad" 352361 352369 354196 354201) (-259 "DRAW.spad" 344961 344974 352351 352356) (-258 "DRAWHACK.spad" 344269 344279 344951 344956) (-257 "DRAWCX.spad" 341711 341719 344259 344264) (-256 "DRAWCURV.spad" 341248 341263 341701 341706) (-255 "DRAWCFUN.spad" 330420 330428 341238 341243) (-254 "DQAGG.spad" 328588 328598 330388 330415) (-253 "DPOLCAT.spad" 323929 323945 328456 328583) (-252 "DPOLCAT.spad" 319356 319374 323885 323890) (-251 "DPMO.spad" 311582 311598 311720 312021) (-250 "DPMM.spad" 303821 303839 303946 304247) (-249 "DOMCTOR.spad" 303713 303721 303811 303816) (-248 "DOMAIN.spad" 302844 302852 303703 303708) (-247 "DMP.spad" 300102 300117 300674 300801) (-246 "DLP.spad" 299450 299460 300092 300097) (-245 "DLIST.spad" 298029 298039 298633 298660) (-244 "DLAGG.spad" 296440 296450 298019 298024) (-243 "DIVRING.spad" 295982 295990 296384 296435) (-242 "DIVRING.spad" 295568 295578 295972 295977) (-241 "DISPLAY.spad" 293748 293756 295558 295563) (-240 "DIRPROD.spad" 283328 283344 283968 284099) (-239 "DIRPROD2.spad" 282136 282154 283318 283323) (-238 "DIRPCAT.spad" 281078 281094 282000 282131) (-237 "DIRPCAT.spad" 279749 279767 280673 280678) (-236 "DIOSP.spad" 278574 278582 279739 279744) (-235 "DIOPS.spad" 277558 277568 278554 278569) (-234 "DIOPS.spad" 276516 276528 277514 277519) (-233 "DIFRING.spad" 275808 275816 276496 276511) (-232 "DIFRING.spad" 275108 275118 275798 275803) (-231 "DIFEXT.spad" 274267 274277 275088 275103) (-230 "DIFEXT.spad" 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222232 225382 225387) (-189 "CVMP.spad" 221641 221651 222214 222219) (-188 "CTRIGMNP.spad" 220131 220147 221631 221636) (-187 "CTOR.spad" 219822 219830 220121 220126) (-186 "CTORKIND.spad" 219425 219433 219812 219817) (-185 "CTORCAT.spad" 218674 218682 219415 219420) (-184 "CTORCAT.spad" 217921 217931 218664 218669) (-183 "CTORCALL.spad" 217501 217509 217911 217916) (-182 "CSTTOOLS.spad" 216744 216757 217491 217496) (-181 "CRFP.spad" 210448 210461 216734 216739) (-180 "CRCEAST.spad" 210168 210176 210438 210443) (-179 "CRAPACK.spad" 209211 209221 210158 210163) (-178 "CPMATCH.spad" 208711 208726 209136 209141) (-177 "CPIMA.spad" 208416 208435 208701 208706) (-176 "COORDSYS.spad" 203309 203319 208406 208411) (-175 "CONTOUR.spad" 202716 202724 203299 203304) (-174 "CONTFRAC.spad" 198328 198338 202618 202711) (-173 "CONDUIT.spad" 198086 198094 198318 198323) (-172 "COMRING.spad" 197760 197768 198024 198081) (-171 "COMPPROP.spad" 197274 197282 197750 197755) (-170 "COMPLPAT.spad" 197041 197056 197264 197269) (-169 "COMPLEX.spad" 191179 191189 191423 191684) (-168 "COMPLEX2.spad" 190892 190904 191169 191174) (-167 "COMPFACT.spad" 190494 190508 190882 190887) (-166 "COMPCAT.spad" 188562 188572 190228 190489) (-165 "COMPCAT.spad" 186359 186371 188027 188032) (-164 "COMMUPC.spad" 186105 186123 186349 186354) (-163 "COMMONOP.spad" 185638 185646 186095 186100) (-162 "COMM.spad" 185447 185455 185628 185633) (-161 "COMMAAST.spad" 185210 185218 185437 185442) (-160 "COMBOPC.spad" 184115 184123 185200 185205) (-159 "COMBINAT.spad" 182860 182870 184105 184110) (-158 "COMBF.spad" 180228 180244 182850 182855) (-157 "COLOR.spad" 179065 179073 180218 180223) (-156 "COLONAST.spad" 178731 178739 179055 179060) (-155 "CMPLXRT.spad" 178440 178457 178721 178726) (-154 "CLLCTAST.spad" 178102 178110 178430 178435) (-153 "CLIP.spad" 174194 174202 178092 178097) (-152 "CLIF.spad" 172833 172849 174150 174189) (-151 "CLAGG.spad" 169318 169328 172823 172828) (-150 "CLAGG.spad" 165674 165686 169181 169186) (-149 "CINTSLPE.spad" 164999 165012 165664 165669) (-148 "CHVAR.spad" 163077 163099 164989 164994) (-147 "CHARZ.spad" 162992 163000 163057 163072) (-146 "CHARPOL.spad" 162500 162510 162982 162987) (-145 "CHARNZ.spad" 162253 162261 162480 162495) (-144 "CHAR.spad" 160121 160129 162243 162248) (-143 "CFCAT.spad" 159437 159445 160111 160116) (-142 "CDEN.spad" 158595 158609 159427 159432) (-141 "CCLASS.spad" 156744 156752 158006 158045) (-140 "CATEGORY.spad" 155834 155842 156734 156739) (-139 "CATCTOR.spad" 155725 155733 155824 155829) (-138 "CATAST.spad" 155343 155351 155715 155720) (-137 "CASEAST.spad" 155057 155065 155333 155338) (-136 "CARTEN.spad" 150160 150184 155047 155052) (-135 "CARTEN2.spad" 149546 149573 150150 150155) (-134 "CARD.spad" 146835 146843 149520 149541) (-133 "CAPSLAST.spad" 146609 146617 146825 146830) (-132 "CACHSET.spad" 146231 146239 146599 146604) (-131 "CABMON.spad" 145784 145792 146221 146226) (-130 "BYTEORD.spad" 145459 145467 145774 145779) (-129 "BYTE.spad" 144884 144892 145449 145454) (-128 "BYTEBUF.spad" 142741 142749 144053 144080) (-127 "BTREE.spad" 141810 141820 142348 142375) (-126 "BTOURN.spad" 140813 140823 141417 141444) (-125 "BTCAT.spad" 140201 140211 140781 140808) (-124 "BTCAT.spad" 139609 139621 140191 140196) (-123 "BTAGG.spad" 138731 138739 139577 139604) (-122 "BTAGG.spad" 137873 137883 138721 138726) (-121 "BSTREE.spad" 136608 136618 137480 137507) (-120 "BRILL.spad" 134803 134814 136598 136603) (-119 "BRAGG.spad" 133727 133737 134793 134798) (-118 "BRAGG.spad" 132615 132627 133683 133688) (-117 "BPADICRT.spad" 130596 130608 130851 130944) (-116 "BPADIC.spad" 130260 130272 130522 130591) (-115 "BOUNDZRO.spad" 129916 129933 130250 130255) (-114 "BOP.spad" 124934 124942 129906 129911) (-113 "BOP1.spad" 122354 122364 124924 124929) (-112 "BOOLEAN.spad" 121678 121686 122344 122349) (-111 "BMODULE.spad" 121390 121402 121646 121673) (-110 "BITS.spad" 120809 120817 121026 121053) (-109 "BINDING.spad" 120220 120228 120799 120804) (-108 "BINARY.spad" 118331 118339 118687 118780) (-107 "BGAGG.spad" 117528 117538 118311 118326) (-106 "BGAGG.spad" 116733 116745 117518 117523) (-105 "BFUNCT.spad" 116297 116305 116713 116728) (-104 "BEZOUT.spad" 115431 115458 116247 116252) (-103 "BBTREE.spad" 112250 112260 115038 115065) (-102 "BASTYPE.spad" 111922 111930 112240 112245) (-101 "BASTYPE.spad" 111592 111602 111912 111917) (-100 "BALFACT.spad" 111031 111044 111582 111587) (-99 "AUTOMOR.spad" 110478 110487 111011 111026) (-98 "ATTREG.spad" 107197 107204 110230 110473) (-97 "ATTRBUT.spad" 103220 103227 107177 107192) (-96 "ATTRAST.spad" 102937 102944 103210 103215) (-95 "ATRIG.spad" 102407 102414 102927 102932) (-94 "ATRIG.spad" 101875 101884 102397 102402) (-93 "ASTCAT.spad" 101779 101786 101865 101870) (-92 "ASTCAT.spad" 101681 101690 101769 101774) (-91 "ASTACK.spad" 101014 101023 101288 101315) (-90 "ASSOCEQ.spad" 99814 99825 100970 100975) (-89 "ASP9.spad" 98895 98908 99804 99809) (-88 "ASP8.spad" 97938 97951 98885 98890) (-87 "ASP80.spad" 97260 97273 97928 97933) (-86 "ASP7.spad" 96420 96433 97250 97255) (-85 "ASP78.spad" 95871 95884 96410 96415) (-84 "ASP77.spad" 95240 95253 95861 95866) (-83 "ASP74.spad" 94332 94345 95230 95235) (-82 "ASP73.spad" 93603 93616 94322 94327) (-81 "ASP6.spad" 92470 92483 93593 93598) (-80 "ASP55.spad" 90979 90992 92460 92465) (-79 "ASP50.spad" 88796 88809 90969 90974) (-78 "ASP4.spad" 88091 88104 88786 88791) (-77 "ASP49.spad" 87090 87103 88081 88086) (-76 "ASP42.spad" 85497 85536 87080 87085) (-75 "ASP41.spad" 84076 84115 85487 85492) (-74 "ASP35.spad" 83064 83077 84066 84071) (-73 "ASP34.spad" 82365 82378 83054 83059) (-72 "ASP33.spad" 81925 81938 82355 82360) (-71 "ASP31.spad" 81065 81078 81915 81920) (-70 "ASP30.spad" 79957 79970 81055 81060) (-69 "ASP29.spad" 79423 79436 79947 79952) (-68 "ASP28.spad" 70696 70709 79413 79418) (-67 "ASP27.spad" 69593 69606 70686 70691) (-66 "ASP24.spad" 68680 68693 69583 69588) (-65 "ASP20.spad" 68144 68157 68670 68675) (-64 "ASP1.spad" 67525 67538 68134 68139) (-63 "ASP19.spad" 62211 62224 67515 67520) (-62 "ASP12.spad" 61625 61638 62201 62206) (-61 "ASP10.spad" 60896 60909 61615 61620) (-60 "ARRAY2.spad" 60256 60265 60503 60530) (-59 "ARRAY1.spad" 59091 59100 59439 59466) (-58 "ARRAY12.spad" 57760 57771 59081 59086) (-57 "ARR2CAT.spad" 53422 53443 57728 57755) (-56 "ARR2CAT.spad" 49104 49127 53412 53417) (-55 "ARITY.spad" 48476 48483 49094 49099) (-54 "APPRULE.spad" 47720 47742 48466 48471) (-53 "APPLYORE.spad" 47335 47348 47710 47715) (-52 "ANY.spad" 45677 45684 47325 47330) (-51 "ANY1.spad" 44748 44757 45667 45672) (-50 "ANTISYM.spad" 43187 43203 44728 44743) (-49 "ANON.spad" 42880 42887 43177 43182) (-48 "AN.spad" 41181 41188 42696 42789) (-47 "AMR.spad" 39360 39371 41079 41176) (-46 "AMR.spad" 37376 37389 39097 39102) (-45 "ALIST.spad" 34788 34809 35138 35165) (-44 "ALGSC.spad" 33911 33937 34660 34713) (-43 "ALGPKG.spad" 29620 29631 33867 33872) (-42 "ALGMFACT.spad" 28809 28823 29610 29615) (-41 "ALGMANIP.spad" 26265 26280 28642 28647) (-40 "ALGFF.spad" 24580 24607 24797 24953) (-39 "ALGFACT.spad" 23701 23711 24570 24575) (-38 "ALGEBRA.spad" 23534 23543 23657 23696) (-37 "ALGEBRA.spad" 23399 23410 23524 23529) (-36 "ALAGG.spad" 22909 22930 23367 23394) (-35 "AHYP.spad" 22290 22297 22899 22904) (-34 "AGG.spad" 20599 20606 22280 22285) (-33 "AGG.spad" 18872 18881 20555 20560) (-32 "AF.spad" 17297 17312 18807 18812) (-31 "ADDAST.spad" 16975 16982 17287 17292) (-30 "ACPLOT.spad" 15546 15553 16965 16970) (-29 "ACFS.spad" 13297 13306 15448 15541) (-28 "ACFS.spad" 11134 11145 13287 13292) (-27 "ACF.spad" 7736 7743 11036 11129) (-26 "ACF.spad" 4424 4433 7726 7731) (-25 "ABELSG.spad" 3965 3972 4414 4419) (-24 "ABELSG.spad" 3504 3513 3955 3960) (-23 "ABELMON.spad" 3047 3054 3494 3499) (-22 "ABELMON.spad" 2588 2597 3037 3042) (-21 "ABELGRP.spad" 2160 2167 2578 2583) (-20 "ABELGRP.spad" 1730 1739 2150 2155) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865))
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